TSTP Solution File: GRP412-1 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GRP412-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 10:38:42 EDT 2022
% Result : Unsatisfiable 74.06s 74.23s
% Output : CNFRefutation 74.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 53
% Number of leaves : 69
% Syntax : Number of clauses : 199 ( 104 unt; 0 nHn; 89 RR)
% Number of literals : 341 ( 340 equ; 144 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 18 ( 4 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 814 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
multiply(A,inverse(multiply(multiply(multiply(inverse(B),B),inverse(multiply(inverse(multiply(A,inverse(B))),C))),B))) = C ).
cnf(prove_these_axioms_1,negated_conjecture,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1) ).
cnf(refute_0_0,plain,
multiply(inverse(multiply(X_9,inverse(X_10))),inverse(multiply(multiply(multiply(inverse(B),B),inverse(multiply(inverse(multiply(inverse(multiply(X_9,inverse(X_10))),inverse(B))),C))),B))) = C,
inference(subst,[],[single_axiom:[bind(A,$fot(inverse(multiply(X_9,inverse(X_10)))))]]) ).
cnf(refute_0_1,plain,
multiply(A,inverse(multiply(multiply(multiply(inverse(B),B),inverse(multiply(inverse(multiply(A,inverse(B))),inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(B))),inverse(X_1))),X_2))),X_1))))),B))) = inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(B))),inverse(X_1))),X_2))),X_1)),
inference(subst,[],[single_axiom:[bind(C,$fot(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(B))),inverse(X_1))),X_2))),X_1))))]]) ).
cnf(refute_0_2,plain,
multiply(inverse(multiply(A,inverse(B))),inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(B))),inverse(X_1))),X_2))),X_1))) = X_2,
inference(subst,[],[single_axiom:[bind(A,$fot(inverse(multiply(A,inverse(B))))),bind(B,$fot(X_1)),bind(C,$fot(X_2))]]) ).
cnf(refute_0_3,plain,
( multiply(A,inverse(multiply(multiply(multiply(inverse(B),B),inverse(multiply(inverse(multiply(A,inverse(B))),inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(B))),inverse(X_1))),X_2))),X_1))))),B))) != inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(B))),inverse(X_1))),X_2))),X_1))
| multiply(inverse(multiply(A,inverse(B))),inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(B))),inverse(X_1))),X_2))),X_1))) != X_2
| multiply(A,inverse(multiply(multiply(multiply(inverse(B),B),inverse(X_2)),B))) = inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(B))),inverse(X_1))),X_2))),X_1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(A,inverse(multiply(multiply(multiply(inverse(B),B),inverse(multiply(inverse(multiply(A,inverse(B))),inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(B))),inverse(X_1))),X_2))),X_1))))),B))),inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(B))),inverse(X_1))),X_2))),X_1))) ),[0,1,0,0,1,0],$fot(X_2)]]) ).
cnf(refute_0_4,plain,
( multiply(A,inverse(multiply(multiply(multiply(inverse(B),B),inverse(multiply(inverse(multiply(A,inverse(B))),inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(B))),inverse(X_1))),X_2))),X_1))))),B))) != inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(B))),inverse(X_1))),X_2))),X_1))
| multiply(A,inverse(multiply(multiply(multiply(inverse(B),B),inverse(X_2)),B))) = inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(B))),inverse(X_1))),X_2))),X_1)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(A,inverse(B))),inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(B))),inverse(X_1))),X_2))),X_1))),X_2) )],[refute_0_2,refute_0_3]) ).
cnf(refute_0_5,plain,
multiply(A,inverse(multiply(multiply(multiply(inverse(B),B),inverse(X_2)),B))) = inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(B))),inverse(X_1))),X_2))),X_1)),
inference(resolve,[$cnf( $equal(multiply(A,inverse(multiply(multiply(multiply(inverse(B),B),inverse(multiply(inverse(multiply(A,inverse(B))),inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(B))),inverse(X_1))),X_2))),X_1))))),B))),inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(B))),inverse(X_1))),X_2))),X_1))) )],[refute_0_1,refute_0_4]) ).
cnf(refute_0_6,plain,
multiply(X_9,inverse(multiply(multiply(multiply(inverse(X_10),X_10),inverse(C)),X_10))) = inverse(multiply(multiply(multiply(inverse(B),B),inverse(multiply(inverse(multiply(inverse(multiply(X_9,inverse(X_10))),inverse(B))),C))),B)),
inference(subst,[],[refute_0_5:[bind(A,$fot(X_9)),bind(B,$fot(X_10)),bind(X_1,$fot(B)),bind(X_2,$fot(C))]]) ).
cnf(refute_0_7,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_8,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_9,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_7,refute_0_8]) ).
cnf(refute_0_10,plain,
( multiply(X_9,inverse(multiply(multiply(multiply(inverse(X_10),X_10),inverse(C)),X_10))) != inverse(multiply(multiply(multiply(inverse(B),B),inverse(multiply(inverse(multiply(inverse(multiply(X_9,inverse(X_10))),inverse(B))),C))),B))
| inverse(multiply(multiply(multiply(inverse(B),B),inverse(multiply(inverse(multiply(inverse(multiply(X_9,inverse(X_10))),inverse(B))),C))),B)) = multiply(X_9,inverse(multiply(multiply(multiply(inverse(X_10),X_10),inverse(C)),X_10))) ),
inference(subst,[],[refute_0_9:[bind(X,$fot(multiply(X_9,inverse(multiply(multiply(multiply(inverse(X_10),X_10),inverse(C)),X_10))))),bind(Y,$fot(inverse(multiply(multiply(multiply(inverse(B),B),inverse(multiply(inverse(multiply(inverse(multiply(X_9,inverse(X_10))),inverse(B))),C))),B))))]]) ).
cnf(refute_0_11,plain,
inverse(multiply(multiply(multiply(inverse(B),B),inverse(multiply(inverse(multiply(inverse(multiply(X_9,inverse(X_10))),inverse(B))),C))),B)) = multiply(X_9,inverse(multiply(multiply(multiply(inverse(X_10),X_10),inverse(C)),X_10))),
inference(resolve,[$cnf( $equal(multiply(X_9,inverse(multiply(multiply(multiply(inverse(X_10),X_10),inverse(C)),X_10))),inverse(multiply(multiply(multiply(inverse(B),B),inverse(multiply(inverse(multiply(inverse(multiply(X_9,inverse(X_10))),inverse(B))),C))),B))) )],[refute_0_6,refute_0_10]) ).
cnf(refute_0_12,plain,
( multiply(inverse(multiply(X_9,inverse(X_10))),inverse(multiply(multiply(multiply(inverse(B),B),inverse(multiply(inverse(multiply(inverse(multiply(X_9,inverse(X_10))),inverse(B))),C))),B))) != C
| inverse(multiply(multiply(multiply(inverse(B),B),inverse(multiply(inverse(multiply(inverse(multiply(X_9,inverse(X_10))),inverse(B))),C))),B)) != multiply(X_9,inverse(multiply(multiply(multiply(inverse(X_10),X_10),inverse(C)),X_10)))
| multiply(inverse(multiply(X_9,inverse(X_10))),multiply(X_9,inverse(multiply(multiply(multiply(inverse(X_10),X_10),inverse(C)),X_10)))) = C ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_9,inverse(X_10))),inverse(multiply(multiply(multiply(inverse(B),B),inverse(multiply(inverse(multiply(inverse(multiply(X_9,inverse(X_10))),inverse(B))),C))),B))),C) ),[0,1],$fot(multiply(X_9,inverse(multiply(multiply(multiply(inverse(X_10),X_10),inverse(C)),X_10))))]]) ).
cnf(refute_0_13,plain,
( multiply(inverse(multiply(X_9,inverse(X_10))),inverse(multiply(multiply(multiply(inverse(B),B),inverse(multiply(inverse(multiply(inverse(multiply(X_9,inverse(X_10))),inverse(B))),C))),B))) != C
| multiply(inverse(multiply(X_9,inverse(X_10))),multiply(X_9,inverse(multiply(multiply(multiply(inverse(X_10),X_10),inverse(C)),X_10)))) = C ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(multiply(inverse(B),B),inverse(multiply(inverse(multiply(inverse(multiply(X_9,inverse(X_10))),inverse(B))),C))),B)),multiply(X_9,inverse(multiply(multiply(multiply(inverse(X_10),X_10),inverse(C)),X_10)))) )],[refute_0_11,refute_0_12]) ).
cnf(refute_0_14,plain,
multiply(inverse(multiply(X_9,inverse(X_10))),multiply(X_9,inverse(multiply(multiply(multiply(inverse(X_10),X_10),inverse(C)),X_10)))) = C,
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_9,inverse(X_10))),inverse(multiply(multiply(multiply(inverse(B),B),inverse(multiply(inverse(multiply(inverse(multiply(X_9,inverse(X_10))),inverse(B))),C))),B))),C) )],[refute_0_0,refute_0_13]) ).
cnf(refute_0_15,plain,
multiply(inverse(multiply(X_15,inverse(X_14))),multiply(X_15,inverse(multiply(multiply(multiply(inverse(X_14),X_14),inverse(multiply(multiply(multiply(inverse(B),B),inverse(multiply(inverse(multiply(multiply(inverse(X_14),X_14),inverse(B))),C))),B))),X_14)))) = multiply(multiply(multiply(inverse(B),B),inverse(multiply(inverse(multiply(multiply(inverse(X_14),X_14),inverse(B))),C))),B),
inference(subst,[],[refute_0_14:[bind(C,$fot(multiply(multiply(multiply(inverse(B),B),inverse(multiply(inverse(multiply(multiply(inverse(X_14),X_14),inverse(B))),C))),B))),bind(X_10,$fot(X_14)),bind(X_9,$fot(X_15))]]) ).
cnf(refute_0_16,plain,
multiply(multiply(inverse(X_14),X_14),inverse(multiply(multiply(multiply(inverse(B),B),inverse(multiply(inverse(multiply(multiply(inverse(X_14),X_14),inverse(B))),C))),B))) = C,
inference(subst,[],[single_axiom:[bind(A,$fot(multiply(inverse(X_14),X_14)))]]) ).
cnf(refute_0_17,plain,
( multiply(multiply(inverse(X_14),X_14),inverse(multiply(multiply(multiply(inverse(B),B),inverse(multiply(inverse(multiply(multiply(inverse(X_14),X_14),inverse(B))),C))),B))) != C
| multiply(inverse(multiply(X_15,inverse(X_14))),multiply(X_15,inverse(multiply(multiply(multiply(inverse(X_14),X_14),inverse(multiply(multiply(multiply(inverse(B),B),inverse(multiply(inverse(multiply(multiply(inverse(X_14),X_14),inverse(B))),C))),B))),X_14)))) != multiply(multiply(multiply(inverse(B),B),inverse(multiply(inverse(multiply(multiply(inverse(X_14),X_14),inverse(B))),C))),B)
| multiply(inverse(multiply(X_15,inverse(X_14))),multiply(X_15,inverse(multiply(C,X_14)))) = multiply(multiply(multiply(inverse(B),B),inverse(multiply(inverse(multiply(multiply(inverse(X_14),X_14),inverse(B))),C))),B) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_15,inverse(X_14))),multiply(X_15,inverse(multiply(multiply(multiply(inverse(X_14),X_14),inverse(multiply(multiply(multiply(inverse(B),B),inverse(multiply(inverse(multiply(multiply(inverse(X_14),X_14),inverse(B))),C))),B))),X_14)))),multiply(multiply(multiply(inverse(B),B),inverse(multiply(inverse(multiply(multiply(inverse(X_14),X_14),inverse(B))),C))),B)) ),[0,1,1,0,0],$fot(C)]]) ).
cnf(refute_0_18,plain,
( multiply(inverse(multiply(X_15,inverse(X_14))),multiply(X_15,inverse(multiply(multiply(multiply(inverse(X_14),X_14),inverse(multiply(multiply(multiply(inverse(B),B),inverse(multiply(inverse(multiply(multiply(inverse(X_14),X_14),inverse(B))),C))),B))),X_14)))) != multiply(multiply(multiply(inverse(B),B),inverse(multiply(inverse(multiply(multiply(inverse(X_14),X_14),inverse(B))),C))),B)
| multiply(inverse(multiply(X_15,inverse(X_14))),multiply(X_15,inverse(multiply(C,X_14)))) = multiply(multiply(multiply(inverse(B),B),inverse(multiply(inverse(multiply(multiply(inverse(X_14),X_14),inverse(B))),C))),B) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_14),X_14),inverse(multiply(multiply(multiply(inverse(B),B),inverse(multiply(inverse(multiply(multiply(inverse(X_14),X_14),inverse(B))),C))),B))),C) )],[refute_0_16,refute_0_17]) ).
cnf(refute_0_19,plain,
multiply(inverse(multiply(X_15,inverse(X_14))),multiply(X_15,inverse(multiply(C,X_14)))) = multiply(multiply(multiply(inverse(B),B),inverse(multiply(inverse(multiply(multiply(inverse(X_14),X_14),inverse(B))),C))),B),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_15,inverse(X_14))),multiply(X_15,inverse(multiply(multiply(multiply(inverse(X_14),X_14),inverse(multiply(multiply(multiply(inverse(B),B),inverse(multiply(inverse(multiply(multiply(inverse(X_14),X_14),inverse(B))),C))),B))),X_14)))),multiply(multiply(multiply(inverse(B),B),inverse(multiply(inverse(multiply(multiply(inverse(X_14),X_14),inverse(B))),C))),B)) )],[refute_0_15,refute_0_18]) ).
cnf(refute_0_20,plain,
multiply(inverse(multiply(X_15,inverse(X_14))),multiply(X_15,inverse(multiply(multiply(multiply(inverse(X_14),X_14),inverse(multiply(inverse(X_109),X_109))),X_14)))) = multiply(multiply(multiply(inverse(B),B),inverse(multiply(inverse(multiply(multiply(inverse(X_14),X_14),inverse(B))),multiply(multiply(inverse(X_14),X_14),inverse(multiply(inverse(X_109),X_109)))))),B),
inference(subst,[],[refute_0_19:[bind(C,$fot(multiply(multiply(inverse(X_14),X_14),inverse(multiply(inverse(X_109),X_109)))))]]) ).
cnf(refute_0_21,plain,
multiply(A,inverse(multiply(multiply(multiply(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)),inverse(multiply(inverse(multiply(A,inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))),C))),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))) = C,
inference(subst,[],[single_axiom:[bind(B,$fot(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))]]) ).
cnf(refute_0_22,plain,
multiply(A,inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1))) = X_2,
inference(subst,[],[single_axiom:[bind(B,$fot(X_1)),bind(C,$fot(X_2))]]) ).
cnf(refute_0_23,plain,
( multiply(A,inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1))) != X_2
| multiply(A,inverse(multiply(multiply(multiply(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)),inverse(multiply(inverse(multiply(A,inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))),C))),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))) != C
| multiply(A,inverse(multiply(multiply(multiply(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)),inverse(multiply(inverse(X_2),C))),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))) = C ),
introduced(tautology,[equality,[$cnf( $equal(multiply(A,inverse(multiply(multiply(multiply(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)),inverse(multiply(inverse(multiply(A,inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))),C))),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))),C) ),[0,1,0,0,1,0,0,0],$fot(X_2)]]) ).
cnf(refute_0_24,plain,
( multiply(A,inverse(multiply(multiply(multiply(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)),inverse(multiply(inverse(multiply(A,inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))),C))),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))) != C
| multiply(A,inverse(multiply(multiply(multiply(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)),inverse(multiply(inverse(X_2),C))),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))) = C ),
inference(resolve,[$cnf( $equal(multiply(A,inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1))),X_2) )],[refute_0_22,refute_0_23]) ).
cnf(refute_0_25,plain,
multiply(A,inverse(multiply(multiply(multiply(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)),inverse(multiply(inverse(X_2),C))),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))) = C,
inference(resolve,[$cnf( $equal(multiply(A,inverse(multiply(multiply(multiply(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)),inverse(multiply(inverse(multiply(A,inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))),C))),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))),C) )],[refute_0_21,refute_0_24]) ).
cnf(refute_0_26,plain,
inverse(multiply(A,inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))) = inverse(multiply(A,inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))),
introduced(tautology,[refl,[$fot(inverse(multiply(A,inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))))]]) ).
cnf(refute_0_27,plain,
( multiply(A,inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1))) != X_2
| inverse(multiply(A,inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))) != inverse(multiply(A,inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1))))
| inverse(multiply(A,inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))) = inverse(X_2) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(A,inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))),inverse(multiply(A,inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1))))) ),[1,0],$fot(X_2)]]) ).
cnf(refute_0_28,plain,
( multiply(A,inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1))) != X_2
| inverse(multiply(A,inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))) = inverse(X_2) ),
inference(resolve,[$cnf( $equal(inverse(multiply(A,inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))),inverse(multiply(A,inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1))))) )],[refute_0_26,refute_0_27]) ).
cnf(refute_0_29,plain,
inverse(multiply(A,inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))) = inverse(X_2),
inference(resolve,[$cnf( $equal(multiply(A,inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1))),X_2) )],[refute_0_22,refute_0_28]) ).
cnf(refute_0_30,plain,
multiply(inverse(multiply(A,inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))),inverse(X_1)) = multiply(inverse(multiply(A,inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))),inverse(X_1)),
introduced(tautology,[refl,[$fot(multiply(inverse(multiply(A,inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))),inverse(X_1)))]]) ).
cnf(refute_0_31,plain,
( multiply(inverse(multiply(A,inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))),inverse(X_1)) != multiply(inverse(multiply(A,inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))),inverse(X_1))
| inverse(multiply(A,inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))) != inverse(X_2)
| multiply(inverse(multiply(A,inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))),inverse(X_1)) = multiply(inverse(X_2),inverse(X_1)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(A,inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))),inverse(X_1)),multiply(inverse(multiply(A,inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))),inverse(X_1))) ),[1,0],$fot(inverse(X_2))]]) ).
cnf(refute_0_32,plain,
( inverse(multiply(A,inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))) != inverse(X_2)
| multiply(inverse(multiply(A,inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))),inverse(X_1)) = multiply(inverse(X_2),inverse(X_1)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(A,inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))),inverse(X_1)),multiply(inverse(multiply(A,inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))),inverse(X_1))) )],[refute_0_30,refute_0_31]) ).
cnf(refute_0_33,plain,
multiply(inverse(multiply(A,inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))),inverse(X_1)) = multiply(inverse(X_2),inverse(X_1)),
inference(resolve,[$cnf( $equal(inverse(multiply(A,inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))),inverse(X_2)) )],[refute_0_29,refute_0_32]) ).
cnf(refute_0_34,plain,
inverse(multiply(inverse(multiply(A,inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))),inverse(X_1))) = inverse(multiply(inverse(multiply(A,inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))),inverse(X_1))),
introduced(tautology,[refl,[$fot(inverse(multiply(inverse(multiply(A,inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))),inverse(X_1))))]]) ).
cnf(refute_0_35,plain,
( multiply(inverse(multiply(A,inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))),inverse(X_1)) != multiply(inverse(X_2),inverse(X_1))
| inverse(multiply(inverse(multiply(A,inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))),inverse(X_1))) != inverse(multiply(inverse(multiply(A,inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))),inverse(X_1)))
| inverse(multiply(inverse(multiply(A,inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))),inverse(X_1))) = inverse(multiply(inverse(X_2),inverse(X_1))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(inverse(multiply(A,inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))),inverse(X_1))),inverse(multiply(inverse(multiply(A,inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))),inverse(X_1)))) ),[1,0],$fot(multiply(inverse(X_2),inverse(X_1)))]]) ).
cnf(refute_0_36,plain,
( multiply(inverse(multiply(A,inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))),inverse(X_1)) != multiply(inverse(X_2),inverse(X_1))
| inverse(multiply(inverse(multiply(A,inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))),inverse(X_1))) = inverse(multiply(inverse(X_2),inverse(X_1))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(multiply(A,inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))),inverse(X_1))),inverse(multiply(inverse(multiply(A,inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))),inverse(X_1)))) )],[refute_0_34,refute_0_35]) ).
cnf(refute_0_37,plain,
inverse(multiply(inverse(multiply(A,inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))),inverse(X_1))) = inverse(multiply(inverse(X_2),inverse(X_1))),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(A,inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))),inverse(X_1)),multiply(inverse(X_2),inverse(X_1))) )],[refute_0_33,refute_0_36]) ).
cnf(refute_0_38,plain,
multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))),inverse(X_1))),multiply(inverse(X_2),C)) = multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))),inverse(X_1))),multiply(inverse(X_2),C)),
introduced(tautology,[refl,[$fot(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))),inverse(X_1))),multiply(inverse(X_2),C)))]]) ).
cnf(refute_0_39,plain,
( multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))),inverse(X_1))),multiply(inverse(X_2),C)) != multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))),inverse(X_1))),multiply(inverse(X_2),C))
| inverse(multiply(inverse(multiply(A,inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))),inverse(X_1))) != inverse(multiply(inverse(X_2),inverse(X_1)))
| multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))),inverse(X_1))),multiply(inverse(X_2),C)) = multiply(inverse(multiply(inverse(X_2),inverse(X_1))),multiply(inverse(X_2),C)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))),inverse(X_1))),multiply(inverse(X_2),C)),multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))),inverse(X_1))),multiply(inverse(X_2),C))) ),[1,0],$fot(inverse(multiply(inverse(X_2),inverse(X_1))))]]) ).
cnf(refute_0_40,plain,
( inverse(multiply(inverse(multiply(A,inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))),inverse(X_1))) != inverse(multiply(inverse(X_2),inverse(X_1)))
| multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))),inverse(X_1))),multiply(inverse(X_2),C)) = multiply(inverse(multiply(inverse(X_2),inverse(X_1))),multiply(inverse(X_2),C)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))),inverse(X_1))),multiply(inverse(X_2),C)),multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))),inverse(X_1))),multiply(inverse(X_2),C))) )],[refute_0_38,refute_0_39]) ).
cnf(refute_0_41,plain,
multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))),inverse(X_1))),multiply(inverse(X_2),C)) = multiply(inverse(multiply(inverse(X_2),inverse(X_1))),multiply(inverse(X_2),C)),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(multiply(A,inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))),inverse(X_1))),inverse(multiply(inverse(X_2),inverse(X_1)))) )],[refute_0_37,refute_0_40]) ).
cnf(refute_0_42,plain,
inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))),inverse(X_1))),multiply(inverse(X_2),C))) = inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))),inverse(X_1))),multiply(inverse(X_2),C))),
introduced(tautology,[refl,[$fot(inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))),inverse(X_1))),multiply(inverse(X_2),C))))]]) ).
cnf(refute_0_43,plain,
( multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))),inverse(X_1))),multiply(inverse(X_2),C)) != multiply(inverse(multiply(inverse(X_2),inverse(X_1))),multiply(inverse(X_2),C))
| inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))),inverse(X_1))),multiply(inverse(X_2),C))) != inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))),inverse(X_1))),multiply(inverse(X_2),C)))
| inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))),inverse(X_1))),multiply(inverse(X_2),C))) = inverse(multiply(inverse(multiply(inverse(X_2),inverse(X_1))),multiply(inverse(X_2),C))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))),inverse(X_1))),multiply(inverse(X_2),C))),inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))),inverse(X_1))),multiply(inverse(X_2),C)))) ),[1,0],$fot(multiply(inverse(multiply(inverse(X_2),inverse(X_1))),multiply(inverse(X_2),C)))]]) ).
cnf(refute_0_44,plain,
( multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))),inverse(X_1))),multiply(inverse(X_2),C)) != multiply(inverse(multiply(inverse(X_2),inverse(X_1))),multiply(inverse(X_2),C))
| inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))),inverse(X_1))),multiply(inverse(X_2),C))) = inverse(multiply(inverse(multiply(inverse(X_2),inverse(X_1))),multiply(inverse(X_2),C))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))),inverse(X_1))),multiply(inverse(X_2),C))),inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))),inverse(X_1))),multiply(inverse(X_2),C)))) )],[refute_0_42,refute_0_43]) ).
cnf(refute_0_45,plain,
inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))),inverse(X_1))),multiply(inverse(X_2),C))) = inverse(multiply(inverse(multiply(inverse(X_2),inverse(X_1))),multiply(inverse(X_2),C))),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))),inverse(X_1))),multiply(inverse(X_2),C)),multiply(inverse(multiply(inverse(X_2),inverse(X_1))),multiply(inverse(X_2),C))) )],[refute_0_41,refute_0_44]) ).
cnf(refute_0_46,plain,
multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))),inverse(X_1))),multiply(inverse(X_2),C)))) = multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))),inverse(X_1))),multiply(inverse(X_2),C)))),
introduced(tautology,[refl,[$fot(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))),inverse(X_1))),multiply(inverse(X_2),C)))))]]) ).
cnf(refute_0_47,plain,
( multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))),inverse(X_1))),multiply(inverse(X_2),C)))) != multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))),inverse(X_1))),multiply(inverse(X_2),C))))
| inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))),inverse(X_1))),multiply(inverse(X_2),C))) != inverse(multiply(inverse(multiply(inverse(X_2),inverse(X_1))),multiply(inverse(X_2),C)))
| multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))),inverse(X_1))),multiply(inverse(X_2),C)))) = multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(inverse(X_2),inverse(X_1))),multiply(inverse(X_2),C)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))),inverse(X_1))),multiply(inverse(X_2),C)))),multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))),inverse(X_1))),multiply(inverse(X_2),C))))) ),[1,1],$fot(inverse(multiply(inverse(multiply(inverse(X_2),inverse(X_1))),multiply(inverse(X_2),C))))]]) ).
cnf(refute_0_48,plain,
( inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))),inverse(X_1))),multiply(inverse(X_2),C))) != inverse(multiply(inverse(multiply(inverse(X_2),inverse(X_1))),multiply(inverse(X_2),C)))
| multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))),inverse(X_1))),multiply(inverse(X_2),C)))) = multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(inverse(X_2),inverse(X_1))),multiply(inverse(X_2),C)))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))),inverse(X_1))),multiply(inverse(X_2),C)))),multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))),inverse(X_1))),multiply(inverse(X_2),C))))) )],[refute_0_46,refute_0_47]) ).
cnf(refute_0_49,plain,
multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))),inverse(X_1))),multiply(inverse(X_2),C)))) = multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(inverse(X_2),inverse(X_1))),multiply(inverse(X_2),C)))),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))),inverse(X_1))),multiply(inverse(X_2),C))),inverse(multiply(inverse(multiply(inverse(X_2),inverse(X_1))),multiply(inverse(X_2),C)))) )],[refute_0_45,refute_0_48]) ).
cnf(refute_0_50,plain,
multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))),inverse(X_1))),multiply(inverse(X_2),C)))),X_1) = multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))),inverse(X_1))),multiply(inverse(X_2),C)))),X_1),
introduced(tautology,[refl,[$fot(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))),inverse(X_1))),multiply(inverse(X_2),C)))),X_1))]]) ).
cnf(refute_0_51,plain,
( multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))),inverse(X_1))),multiply(inverse(X_2),C)))),X_1) != multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))),inverse(X_1))),multiply(inverse(X_2),C)))),X_1)
| multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))),inverse(X_1))),multiply(inverse(X_2),C)))) != multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(inverse(X_2),inverse(X_1))),multiply(inverse(X_2),C))))
| multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))),inverse(X_1))),multiply(inverse(X_2),C)))),X_1) = multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(inverse(X_2),inverse(X_1))),multiply(inverse(X_2),C)))),X_1) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))),inverse(X_1))),multiply(inverse(X_2),C)))),X_1),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))),inverse(X_1))),multiply(inverse(X_2),C)))),X_1)) ),[1,0],$fot(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(inverse(X_2),inverse(X_1))),multiply(inverse(X_2),C)))))]]) ).
cnf(refute_0_52,plain,
( multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))),inverse(X_1))),multiply(inverse(X_2),C)))) != multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(inverse(X_2),inverse(X_1))),multiply(inverse(X_2),C))))
| multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))),inverse(X_1))),multiply(inverse(X_2),C)))),X_1) = multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(inverse(X_2),inverse(X_1))),multiply(inverse(X_2),C)))),X_1) ),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))),inverse(X_1))),multiply(inverse(X_2),C)))),X_1),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))),inverse(X_1))),multiply(inverse(X_2),C)))),X_1)) )],[refute_0_50,refute_0_51]) ).
cnf(refute_0_53,plain,
multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))),inverse(X_1))),multiply(inverse(X_2),C)))),X_1) = multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(inverse(X_2),inverse(X_1))),multiply(inverse(X_2),C)))),X_1),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))),inverse(X_1))),multiply(inverse(X_2),C)))),multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(inverse(X_2),inverse(X_1))),multiply(inverse(X_2),C))))) )],[refute_0_49,refute_0_52]) ).
cnf(refute_0_54,plain,
inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))),inverse(X_1))),multiply(inverse(X_2),C)))),X_1)) = inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))),inverse(X_1))),multiply(inverse(X_2),C)))),X_1)),
introduced(tautology,[refl,[$fot(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))),inverse(X_1))),multiply(inverse(X_2),C)))),X_1)))]]) ).
cnf(refute_0_55,plain,
( multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))),inverse(X_1))),multiply(inverse(X_2),C)))),X_1) != multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(inverse(X_2),inverse(X_1))),multiply(inverse(X_2),C)))),X_1)
| inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))),inverse(X_1))),multiply(inverse(X_2),C)))),X_1)) != inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))),inverse(X_1))),multiply(inverse(X_2),C)))),X_1))
| inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))),inverse(X_1))),multiply(inverse(X_2),C)))),X_1)) = inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(inverse(X_2),inverse(X_1))),multiply(inverse(X_2),C)))),X_1)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))),inverse(X_1))),multiply(inverse(X_2),C)))),X_1)),inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))),inverse(X_1))),multiply(inverse(X_2),C)))),X_1))) ),[1,0],$fot(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(inverse(X_2),inverse(X_1))),multiply(inverse(X_2),C)))),X_1))]]) ).
cnf(refute_0_56,plain,
( multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))),inverse(X_1))),multiply(inverse(X_2),C)))),X_1) != multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(inverse(X_2),inverse(X_1))),multiply(inverse(X_2),C)))),X_1)
| inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))),inverse(X_1))),multiply(inverse(X_2),C)))),X_1)) = inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(inverse(X_2),inverse(X_1))),multiply(inverse(X_2),C)))),X_1)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))),inverse(X_1))),multiply(inverse(X_2),C)))),X_1)),inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))),inverse(X_1))),multiply(inverse(X_2),C)))),X_1))) )],[refute_0_54,refute_0_55]) ).
cnf(refute_0_57,plain,
inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))),inverse(X_1))),multiply(inverse(X_2),C)))),X_1)) = inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(inverse(X_2),inverse(X_1))),multiply(inverse(X_2),C)))),X_1)),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))),inverse(X_1))),multiply(inverse(X_2),C)))),X_1),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(inverse(X_2),inverse(X_1))),multiply(inverse(X_2),C)))),X_1)) )],[refute_0_53,refute_0_56]) ).
cnf(refute_0_58,plain,
multiply(A,inverse(multiply(multiply(multiply(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)),inverse(multiply(inverse(X_2),C))),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))) = inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))),inverse(X_1))),multiply(inverse(X_2),C)))),X_1)),
inference(subst,[],[refute_0_5:[bind(B,$fot(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1))),bind(X_2,$fot(multiply(inverse(X_2),C)))]]) ).
cnf(refute_0_59,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_60,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_9,refute_0_59]) ).
cnf(refute_0_61,plain,
( multiply(A,inverse(multiply(multiply(multiply(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)),inverse(multiply(inverse(X_2),C))),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))) != inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))),inverse(X_1))),multiply(inverse(X_2),C)))),X_1))
| inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))),inverse(X_1))),multiply(inverse(X_2),C)))),X_1)) != inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(inverse(X_2),inverse(X_1))),multiply(inverse(X_2),C)))),X_1))
| multiply(A,inverse(multiply(multiply(multiply(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)),inverse(multiply(inverse(X_2),C))),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))) = inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(inverse(X_2),inverse(X_1))),multiply(inverse(X_2),C)))),X_1)) ),
inference(subst,[],[refute_0_60:[bind(X,$fot(multiply(A,inverse(multiply(multiply(multiply(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)),inverse(multiply(inverse(X_2),C))),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))))),bind(Y,$fot(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))),inverse(X_1))),multiply(inverse(X_2),C)))),X_1)))),bind(Z,$fot(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(inverse(X_2),inverse(X_1))),multiply(inverse(X_2),C)))),X_1))))]]) ).
cnf(refute_0_62,plain,
( inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))),inverse(X_1))),multiply(inverse(X_2),C)))),X_1)) != inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(inverse(X_2),inverse(X_1))),multiply(inverse(X_2),C)))),X_1))
| multiply(A,inverse(multiply(multiply(multiply(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)),inverse(multiply(inverse(X_2),C))),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))) = inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(inverse(X_2),inverse(X_1))),multiply(inverse(X_2),C)))),X_1)) ),
inference(resolve,[$cnf( $equal(multiply(A,inverse(multiply(multiply(multiply(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)),inverse(multiply(inverse(X_2),C))),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))),inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))),inverse(X_1))),multiply(inverse(X_2),C)))),X_1))) )],[refute_0_58,refute_0_61]) ).
cnf(refute_0_63,plain,
multiply(A,inverse(multiply(multiply(multiply(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)),inverse(multiply(inverse(X_2),C))),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))) = inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(inverse(X_2),inverse(X_1))),multiply(inverse(X_2),C)))),X_1)),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))),inverse(X_1))),multiply(inverse(X_2),C)))),X_1)),inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(inverse(X_2),inverse(X_1))),multiply(inverse(X_2),C)))),X_1))) )],[refute_0_57,refute_0_62]) ).
cnf(refute_0_64,plain,
( multiply(A,inverse(multiply(multiply(multiply(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)),inverse(multiply(inverse(X_2),C))),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))) != C
| multiply(A,inverse(multiply(multiply(multiply(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)),inverse(multiply(inverse(X_2),C))),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))) != inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(inverse(X_2),inverse(X_1))),multiply(inverse(X_2),C)))),X_1))
| inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(inverse(X_2),inverse(X_1))),multiply(inverse(X_2),C)))),X_1)) = C ),
introduced(tautology,[equality,[$cnf( $equal(multiply(A,inverse(multiply(multiply(multiply(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)),inverse(multiply(inverse(X_2),C))),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))),C) ),[0],$fot(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(inverse(X_2),inverse(X_1))),multiply(inverse(X_2),C)))),X_1)))]]) ).
cnf(refute_0_65,plain,
( multiply(A,inverse(multiply(multiply(multiply(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)),inverse(multiply(inverse(X_2),C))),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))) != C
| inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(inverse(X_2),inverse(X_1))),multiply(inverse(X_2),C)))),X_1)) = C ),
inference(resolve,[$cnf( $equal(multiply(A,inverse(multiply(multiply(multiply(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)),inverse(multiply(inverse(X_2),C))),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))),inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(inverse(X_2),inverse(X_1))),multiply(inverse(X_2),C)))),X_1))) )],[refute_0_63,refute_0_64]) ).
cnf(refute_0_66,plain,
inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(inverse(X_2),inverse(X_1))),multiply(inverse(X_2),C)))),X_1)) = C,
inference(resolve,[$cnf( $equal(multiply(A,inverse(multiply(multiply(multiply(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)),inverse(multiply(inverse(X_2),C))),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(A,inverse(X_1))),X_2))),X_1)))),C) )],[refute_0_25,refute_0_65]) ).
cnf(refute_0_67,plain,
inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(inverse(multiply(multiply(multiply(inverse(X_4),X_4),inverse(multiply(inverse(multiply(inverse(X_5),inverse(X_4))),multiply(inverse(X_5),X_3)))),X_4)),inverse(X_1))),multiply(inverse(multiply(multiply(multiply(inverse(X_4),X_4),inverse(multiply(inverse(multiply(inverse(X_5),inverse(X_4))),multiply(inverse(X_5),X_3)))),X_4)),C)))),X_1)) = C,
inference(subst,[],[refute_0_66:[bind(X_2,$fot(multiply(multiply(multiply(inverse(X_4),X_4),inverse(multiply(inverse(multiply(inverse(X_5),inverse(X_4))),multiply(inverse(X_5),X_3)))),X_4)))]]) ).
cnf(refute_0_68,plain,
inverse(multiply(multiply(multiply(inverse(X_4),X_4),inverse(multiply(inverse(multiply(inverse(X_5),inverse(X_4))),multiply(inverse(X_5),X_3)))),X_4)) = X_3,
inference(subst,[],[refute_0_66:[bind(C,$fot(X_3)),bind(X_1,$fot(X_4)),bind(X_2,$fot(X_5))]]) ).
cnf(refute_0_69,plain,
( inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(inverse(multiply(multiply(multiply(inverse(X_4),X_4),inverse(multiply(inverse(multiply(inverse(X_5),inverse(X_4))),multiply(inverse(X_5),X_3)))),X_4)),inverse(X_1))),multiply(inverse(multiply(multiply(multiply(inverse(X_4),X_4),inverse(multiply(inverse(multiply(inverse(X_5),inverse(X_4))),multiply(inverse(X_5),X_3)))),X_4)),C)))),X_1)) != C
| inverse(multiply(multiply(multiply(inverse(X_4),X_4),inverse(multiply(inverse(multiply(inverse(X_5),inverse(X_4))),multiply(inverse(X_5),X_3)))),X_4)) != X_3
| inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(inverse(multiply(multiply(multiply(inverse(X_4),X_4),inverse(multiply(inverse(multiply(inverse(X_5),inverse(X_4))),multiply(inverse(X_5),X_3)))),X_4)),C)))),X_1)) = C ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(inverse(multiply(multiply(multiply(inverse(X_4),X_4),inverse(multiply(inverse(multiply(inverse(X_5),inverse(X_4))),multiply(inverse(X_5),X_3)))),X_4)),inverse(X_1))),multiply(inverse(multiply(multiply(multiply(inverse(X_4),X_4),inverse(multiply(inverse(multiply(inverse(X_5),inverse(X_4))),multiply(inverse(X_5),X_3)))),X_4)),C)))),X_1)),C) ),[0,0,0,1,0,0,0,0],$fot(X_3)]]) ).
cnf(refute_0_70,plain,
( inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(inverse(multiply(multiply(multiply(inverse(X_4),X_4),inverse(multiply(inverse(multiply(inverse(X_5),inverse(X_4))),multiply(inverse(X_5),X_3)))),X_4)),inverse(X_1))),multiply(inverse(multiply(multiply(multiply(inverse(X_4),X_4),inverse(multiply(inverse(multiply(inverse(X_5),inverse(X_4))),multiply(inverse(X_5),X_3)))),X_4)),C)))),X_1)) != C
| inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(inverse(multiply(multiply(multiply(inverse(X_4),X_4),inverse(multiply(inverse(multiply(inverse(X_5),inverse(X_4))),multiply(inverse(X_5),X_3)))),X_4)),C)))),X_1)) = C ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(multiply(inverse(X_4),X_4),inverse(multiply(inverse(multiply(inverse(X_5),inverse(X_4))),multiply(inverse(X_5),X_3)))),X_4)),X_3) )],[refute_0_68,refute_0_69]) ).
cnf(refute_0_71,plain,
inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(inverse(multiply(multiply(multiply(inverse(X_4),X_4),inverse(multiply(inverse(multiply(inverse(X_5),inverse(X_4))),multiply(inverse(X_5),X_3)))),X_4)),C)))),X_1)) = C,
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(inverse(multiply(multiply(multiply(inverse(X_4),X_4),inverse(multiply(inverse(multiply(inverse(X_5),inverse(X_4))),multiply(inverse(X_5),X_3)))),X_4)),inverse(X_1))),multiply(inverse(multiply(multiply(multiply(inverse(X_4),X_4),inverse(multiply(inverse(multiply(inverse(X_5),inverse(X_4))),multiply(inverse(X_5),X_3)))),X_4)),C)))),X_1)),C) )],[refute_0_67,refute_0_70]) ).
cnf(refute_0_72,plain,
multiply(inverse(multiply(multiply(multiply(inverse(X_4),X_4),inverse(multiply(inverse(multiply(inverse(X_5),inverse(X_4))),multiply(inverse(X_5),X_3)))),X_4)),C) = multiply(inverse(multiply(multiply(multiply(inverse(X_4),X_4),inverse(multiply(inverse(multiply(inverse(X_5),inverse(X_4))),multiply(inverse(X_5),X_3)))),X_4)),C),
introduced(tautology,[refl,[$fot(multiply(inverse(multiply(multiply(multiply(inverse(X_4),X_4),inverse(multiply(inverse(multiply(inverse(X_5),inverse(X_4))),multiply(inverse(X_5),X_3)))),X_4)),C))]]) ).
cnf(refute_0_73,plain,
( multiply(inverse(multiply(multiply(multiply(inverse(X_4),X_4),inverse(multiply(inverse(multiply(inverse(X_5),inverse(X_4))),multiply(inverse(X_5),X_3)))),X_4)),C) != multiply(inverse(multiply(multiply(multiply(inverse(X_4),X_4),inverse(multiply(inverse(multiply(inverse(X_5),inverse(X_4))),multiply(inverse(X_5),X_3)))),X_4)),C)
| inverse(multiply(multiply(multiply(inverse(X_4),X_4),inverse(multiply(inverse(multiply(inverse(X_5),inverse(X_4))),multiply(inverse(X_5),X_3)))),X_4)) != X_3
| multiply(inverse(multiply(multiply(multiply(inverse(X_4),X_4),inverse(multiply(inverse(multiply(inverse(X_5),inverse(X_4))),multiply(inverse(X_5),X_3)))),X_4)),C) = multiply(X_3,C) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(multiply(multiply(inverse(X_4),X_4),inverse(multiply(inverse(multiply(inverse(X_5),inverse(X_4))),multiply(inverse(X_5),X_3)))),X_4)),C),multiply(inverse(multiply(multiply(multiply(inverse(X_4),X_4),inverse(multiply(inverse(multiply(inverse(X_5),inverse(X_4))),multiply(inverse(X_5),X_3)))),X_4)),C)) ),[1,0],$fot(X_3)]]) ).
cnf(refute_0_74,plain,
( inverse(multiply(multiply(multiply(inverse(X_4),X_4),inverse(multiply(inverse(multiply(inverse(X_5),inverse(X_4))),multiply(inverse(X_5),X_3)))),X_4)) != X_3
| multiply(inverse(multiply(multiply(multiply(inverse(X_4),X_4),inverse(multiply(inverse(multiply(inverse(X_5),inverse(X_4))),multiply(inverse(X_5),X_3)))),X_4)),C) = multiply(X_3,C) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(multiply(multiply(inverse(X_4),X_4),inverse(multiply(inverse(multiply(inverse(X_5),inverse(X_4))),multiply(inverse(X_5),X_3)))),X_4)),C),multiply(inverse(multiply(multiply(multiply(inverse(X_4),X_4),inverse(multiply(inverse(multiply(inverse(X_5),inverse(X_4))),multiply(inverse(X_5),X_3)))),X_4)),C)) )],[refute_0_72,refute_0_73]) ).
cnf(refute_0_75,plain,
multiply(inverse(multiply(multiply(multiply(inverse(X_4),X_4),inverse(multiply(inverse(multiply(inverse(X_5),inverse(X_4))),multiply(inverse(X_5),X_3)))),X_4)),C) = multiply(X_3,C),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(multiply(inverse(X_4),X_4),inverse(multiply(inverse(multiply(inverse(X_5),inverse(X_4))),multiply(inverse(X_5),X_3)))),X_4)),X_3) )],[refute_0_68,refute_0_74]) ).
cnf(refute_0_76,plain,
multiply(inverse(multiply(X_3,inverse(X_1))),multiply(inverse(multiply(multiply(multiply(inverse(X_4),X_4),inverse(multiply(inverse(multiply(inverse(X_5),inverse(X_4))),multiply(inverse(X_5),X_3)))),X_4)),C)) = multiply(inverse(multiply(X_3,inverse(X_1))),multiply(inverse(multiply(multiply(multiply(inverse(X_4),X_4),inverse(multiply(inverse(multiply(inverse(X_5),inverse(X_4))),multiply(inverse(X_5),X_3)))),X_4)),C)),
introduced(tautology,[refl,[$fot(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(inverse(multiply(multiply(multiply(inverse(X_4),X_4),inverse(multiply(inverse(multiply(inverse(X_5),inverse(X_4))),multiply(inverse(X_5),X_3)))),X_4)),C)))]]) ).
cnf(refute_0_77,plain,
( multiply(inverse(multiply(X_3,inverse(X_1))),multiply(inverse(multiply(multiply(multiply(inverse(X_4),X_4),inverse(multiply(inverse(multiply(inverse(X_5),inverse(X_4))),multiply(inverse(X_5),X_3)))),X_4)),C)) != multiply(inverse(multiply(X_3,inverse(X_1))),multiply(inverse(multiply(multiply(multiply(inverse(X_4),X_4),inverse(multiply(inverse(multiply(inverse(X_5),inverse(X_4))),multiply(inverse(X_5),X_3)))),X_4)),C))
| multiply(inverse(multiply(multiply(multiply(inverse(X_4),X_4),inverse(multiply(inverse(multiply(inverse(X_5),inverse(X_4))),multiply(inverse(X_5),X_3)))),X_4)),C) != multiply(X_3,C)
| multiply(inverse(multiply(X_3,inverse(X_1))),multiply(inverse(multiply(multiply(multiply(inverse(X_4),X_4),inverse(multiply(inverse(multiply(inverse(X_5),inverse(X_4))),multiply(inverse(X_5),X_3)))),X_4)),C)) = multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(inverse(multiply(multiply(multiply(inverse(X_4),X_4),inverse(multiply(inverse(multiply(inverse(X_5),inverse(X_4))),multiply(inverse(X_5),X_3)))),X_4)),C)),multiply(inverse(multiply(X_3,inverse(X_1))),multiply(inverse(multiply(multiply(multiply(inverse(X_4),X_4),inverse(multiply(inverse(multiply(inverse(X_5),inverse(X_4))),multiply(inverse(X_5),X_3)))),X_4)),C))) ),[1,1],$fot(multiply(X_3,C))]]) ).
cnf(refute_0_78,plain,
( multiply(inverse(multiply(multiply(multiply(inverse(X_4),X_4),inverse(multiply(inverse(multiply(inverse(X_5),inverse(X_4))),multiply(inverse(X_5),X_3)))),X_4)),C) != multiply(X_3,C)
| multiply(inverse(multiply(X_3,inverse(X_1))),multiply(inverse(multiply(multiply(multiply(inverse(X_4),X_4),inverse(multiply(inverse(multiply(inverse(X_5),inverse(X_4))),multiply(inverse(X_5),X_3)))),X_4)),C)) = multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(inverse(multiply(multiply(multiply(inverse(X_4),X_4),inverse(multiply(inverse(multiply(inverse(X_5),inverse(X_4))),multiply(inverse(X_5),X_3)))),X_4)),C)),multiply(inverse(multiply(X_3,inverse(X_1))),multiply(inverse(multiply(multiply(multiply(inverse(X_4),X_4),inverse(multiply(inverse(multiply(inverse(X_5),inverse(X_4))),multiply(inverse(X_5),X_3)))),X_4)),C))) )],[refute_0_76,refute_0_77]) ).
cnf(refute_0_79,plain,
multiply(inverse(multiply(X_3,inverse(X_1))),multiply(inverse(multiply(multiply(multiply(inverse(X_4),X_4),inverse(multiply(inverse(multiply(inverse(X_5),inverse(X_4))),multiply(inverse(X_5),X_3)))),X_4)),C)) = multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(multiply(multiply(inverse(X_4),X_4),inverse(multiply(inverse(multiply(inverse(X_5),inverse(X_4))),multiply(inverse(X_5),X_3)))),X_4)),C),multiply(X_3,C)) )],[refute_0_75,refute_0_78]) ).
cnf(refute_0_80,plain,
inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(inverse(multiply(multiply(multiply(inverse(X_4),X_4),inverse(multiply(inverse(multiply(inverse(X_5),inverse(X_4))),multiply(inverse(X_5),X_3)))),X_4)),C))) = inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(inverse(multiply(multiply(multiply(inverse(X_4),X_4),inverse(multiply(inverse(multiply(inverse(X_5),inverse(X_4))),multiply(inverse(X_5),X_3)))),X_4)),C))),
introduced(tautology,[refl,[$fot(inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(inverse(multiply(multiply(multiply(inverse(X_4),X_4),inverse(multiply(inverse(multiply(inverse(X_5),inverse(X_4))),multiply(inverse(X_5),X_3)))),X_4)),C))))]]) ).
cnf(refute_0_81,plain,
( multiply(inverse(multiply(X_3,inverse(X_1))),multiply(inverse(multiply(multiply(multiply(inverse(X_4),X_4),inverse(multiply(inverse(multiply(inverse(X_5),inverse(X_4))),multiply(inverse(X_5),X_3)))),X_4)),C)) != multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C))
| inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(inverse(multiply(multiply(multiply(inverse(X_4),X_4),inverse(multiply(inverse(multiply(inverse(X_5),inverse(X_4))),multiply(inverse(X_5),X_3)))),X_4)),C))) != inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(inverse(multiply(multiply(multiply(inverse(X_4),X_4),inverse(multiply(inverse(multiply(inverse(X_5),inverse(X_4))),multiply(inverse(X_5),X_3)))),X_4)),C)))
| inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(inverse(multiply(multiply(multiply(inverse(X_4),X_4),inverse(multiply(inverse(multiply(inverse(X_5),inverse(X_4))),multiply(inverse(X_5),X_3)))),X_4)),C))) = inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(inverse(multiply(multiply(multiply(inverse(X_4),X_4),inverse(multiply(inverse(multiply(inverse(X_5),inverse(X_4))),multiply(inverse(X_5),X_3)))),X_4)),C))),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(inverse(multiply(multiply(multiply(inverse(X_4),X_4),inverse(multiply(inverse(multiply(inverse(X_5),inverse(X_4))),multiply(inverse(X_5),X_3)))),X_4)),C)))) ),[1,0],$fot(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))]]) ).
cnf(refute_0_82,plain,
( multiply(inverse(multiply(X_3,inverse(X_1))),multiply(inverse(multiply(multiply(multiply(inverse(X_4),X_4),inverse(multiply(inverse(multiply(inverse(X_5),inverse(X_4))),multiply(inverse(X_5),X_3)))),X_4)),C)) != multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C))
| inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(inverse(multiply(multiply(multiply(inverse(X_4),X_4),inverse(multiply(inverse(multiply(inverse(X_5),inverse(X_4))),multiply(inverse(X_5),X_3)))),X_4)),C))) = inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(inverse(multiply(multiply(multiply(inverse(X_4),X_4),inverse(multiply(inverse(multiply(inverse(X_5),inverse(X_4))),multiply(inverse(X_5),X_3)))),X_4)),C))),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(inverse(multiply(multiply(multiply(inverse(X_4),X_4),inverse(multiply(inverse(multiply(inverse(X_5),inverse(X_4))),multiply(inverse(X_5),X_3)))),X_4)),C)))) )],[refute_0_80,refute_0_81]) ).
cnf(refute_0_83,plain,
inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(inverse(multiply(multiply(multiply(inverse(X_4),X_4),inverse(multiply(inverse(multiply(inverse(X_5),inverse(X_4))),multiply(inverse(X_5),X_3)))),X_4)),C))) = inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C))),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(inverse(multiply(multiply(multiply(inverse(X_4),X_4),inverse(multiply(inverse(multiply(inverse(X_5),inverse(X_4))),multiply(inverse(X_5),X_3)))),X_4)),C)),multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C))) )],[refute_0_79,refute_0_82]) ).
cnf(refute_0_84,plain,
multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(inverse(multiply(multiply(multiply(inverse(X_4),X_4),inverse(multiply(inverse(multiply(inverse(X_5),inverse(X_4))),multiply(inverse(X_5),X_3)))),X_4)),C)))) = multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(inverse(multiply(multiply(multiply(inverse(X_4),X_4),inverse(multiply(inverse(multiply(inverse(X_5),inverse(X_4))),multiply(inverse(X_5),X_3)))),X_4)),C)))),
introduced(tautology,[refl,[$fot(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(inverse(multiply(multiply(multiply(inverse(X_4),X_4),inverse(multiply(inverse(multiply(inverse(X_5),inverse(X_4))),multiply(inverse(X_5),X_3)))),X_4)),C)))))]]) ).
cnf(refute_0_85,plain,
( multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(inverse(multiply(multiply(multiply(inverse(X_4),X_4),inverse(multiply(inverse(multiply(inverse(X_5),inverse(X_4))),multiply(inverse(X_5),X_3)))),X_4)),C)))) != multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(inverse(multiply(multiply(multiply(inverse(X_4),X_4),inverse(multiply(inverse(multiply(inverse(X_5),inverse(X_4))),multiply(inverse(X_5),X_3)))),X_4)),C))))
| inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(inverse(multiply(multiply(multiply(inverse(X_4),X_4),inverse(multiply(inverse(multiply(inverse(X_5),inverse(X_4))),multiply(inverse(X_5),X_3)))),X_4)),C))) != inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))
| multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(inverse(multiply(multiply(multiply(inverse(X_4),X_4),inverse(multiply(inverse(multiply(inverse(X_5),inverse(X_4))),multiply(inverse(X_5),X_3)))),X_4)),C)))) = multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(inverse(multiply(multiply(multiply(inverse(X_4),X_4),inverse(multiply(inverse(multiply(inverse(X_5),inverse(X_4))),multiply(inverse(X_5),X_3)))),X_4)),C)))),multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(inverse(multiply(multiply(multiply(inverse(X_4),X_4),inverse(multiply(inverse(multiply(inverse(X_5),inverse(X_4))),multiply(inverse(X_5),X_3)))),X_4)),C))))) ),[1,1],$fot(inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C))))]]) ).
cnf(refute_0_86,plain,
( inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(inverse(multiply(multiply(multiply(inverse(X_4),X_4),inverse(multiply(inverse(multiply(inverse(X_5),inverse(X_4))),multiply(inverse(X_5),X_3)))),X_4)),C))) != inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))
| multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(inverse(multiply(multiply(multiply(inverse(X_4),X_4),inverse(multiply(inverse(multiply(inverse(X_5),inverse(X_4))),multiply(inverse(X_5),X_3)))),X_4)),C)))) = multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(inverse(multiply(multiply(multiply(inverse(X_4),X_4),inverse(multiply(inverse(multiply(inverse(X_5),inverse(X_4))),multiply(inverse(X_5),X_3)))),X_4)),C)))),multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(inverse(multiply(multiply(multiply(inverse(X_4),X_4),inverse(multiply(inverse(multiply(inverse(X_5),inverse(X_4))),multiply(inverse(X_5),X_3)))),X_4)),C))))) )],[refute_0_84,refute_0_85]) ).
cnf(refute_0_87,plain,
multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(inverse(multiply(multiply(multiply(inverse(X_4),X_4),inverse(multiply(inverse(multiply(inverse(X_5),inverse(X_4))),multiply(inverse(X_5),X_3)))),X_4)),C)))) = multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(inverse(multiply(multiply(multiply(inverse(X_4),X_4),inverse(multiply(inverse(multiply(inverse(X_5),inverse(X_4))),multiply(inverse(X_5),X_3)))),X_4)),C))),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))) )],[refute_0_83,refute_0_86]) ).
cnf(refute_0_88,plain,
multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(inverse(multiply(multiply(multiply(inverse(X_4),X_4),inverse(multiply(inverse(multiply(inverse(X_5),inverse(X_4))),multiply(inverse(X_5),X_3)))),X_4)),C)))),X_1) = multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(inverse(multiply(multiply(multiply(inverse(X_4),X_4),inverse(multiply(inverse(multiply(inverse(X_5),inverse(X_4))),multiply(inverse(X_5),X_3)))),X_4)),C)))),X_1),
introduced(tautology,[refl,[$fot(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(inverse(multiply(multiply(multiply(inverse(X_4),X_4),inverse(multiply(inverse(multiply(inverse(X_5),inverse(X_4))),multiply(inverse(X_5),X_3)))),X_4)),C)))),X_1))]]) ).
cnf(refute_0_89,plain,
( multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(inverse(multiply(multiply(multiply(inverse(X_4),X_4),inverse(multiply(inverse(multiply(inverse(X_5),inverse(X_4))),multiply(inverse(X_5),X_3)))),X_4)),C)))),X_1) != multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(inverse(multiply(multiply(multiply(inverse(X_4),X_4),inverse(multiply(inverse(multiply(inverse(X_5),inverse(X_4))),multiply(inverse(X_5),X_3)))),X_4)),C)))),X_1)
| multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(inverse(multiply(multiply(multiply(inverse(X_4),X_4),inverse(multiply(inverse(multiply(inverse(X_5),inverse(X_4))),multiply(inverse(X_5),X_3)))),X_4)),C)))) != multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C))))
| multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(inverse(multiply(multiply(multiply(inverse(X_4),X_4),inverse(multiply(inverse(multiply(inverse(X_5),inverse(X_4))),multiply(inverse(X_5),X_3)))),X_4)),C)))),X_1) = multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(inverse(multiply(multiply(multiply(inverse(X_4),X_4),inverse(multiply(inverse(multiply(inverse(X_5),inverse(X_4))),multiply(inverse(X_5),X_3)))),X_4)),C)))),X_1),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(inverse(multiply(multiply(multiply(inverse(X_4),X_4),inverse(multiply(inverse(multiply(inverse(X_5),inverse(X_4))),multiply(inverse(X_5),X_3)))),X_4)),C)))),X_1)) ),[1,0],$fot(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))))]]) ).
cnf(refute_0_90,plain,
( multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(inverse(multiply(multiply(multiply(inverse(X_4),X_4),inverse(multiply(inverse(multiply(inverse(X_5),inverse(X_4))),multiply(inverse(X_5),X_3)))),X_4)),C)))) != multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C))))
| multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(inverse(multiply(multiply(multiply(inverse(X_4),X_4),inverse(multiply(inverse(multiply(inverse(X_5),inverse(X_4))),multiply(inverse(X_5),X_3)))),X_4)),C)))),X_1) = multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1) ),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(inverse(multiply(multiply(multiply(inverse(X_4),X_4),inverse(multiply(inverse(multiply(inverse(X_5),inverse(X_4))),multiply(inverse(X_5),X_3)))),X_4)),C)))),X_1),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(inverse(multiply(multiply(multiply(inverse(X_4),X_4),inverse(multiply(inverse(multiply(inverse(X_5),inverse(X_4))),multiply(inverse(X_5),X_3)))),X_4)),C)))),X_1)) )],[refute_0_88,refute_0_89]) ).
cnf(refute_0_91,plain,
multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(inverse(multiply(multiply(multiply(inverse(X_4),X_4),inverse(multiply(inverse(multiply(inverse(X_5),inverse(X_4))),multiply(inverse(X_5),X_3)))),X_4)),C)))),X_1) = multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(inverse(multiply(multiply(multiply(inverse(X_4),X_4),inverse(multiply(inverse(multiply(inverse(X_5),inverse(X_4))),multiply(inverse(X_5),X_3)))),X_4)),C)))),multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C))))) )],[refute_0_87,refute_0_90]) ).
cnf(refute_0_92,plain,
inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(inverse(multiply(multiply(multiply(inverse(X_4),X_4),inverse(multiply(inverse(multiply(inverse(X_5),inverse(X_4))),multiply(inverse(X_5),X_3)))),X_4)),C)))),X_1)) = inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(inverse(multiply(multiply(multiply(inverse(X_4),X_4),inverse(multiply(inverse(multiply(inverse(X_5),inverse(X_4))),multiply(inverse(X_5),X_3)))),X_4)),C)))),X_1)),
introduced(tautology,[refl,[$fot(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(inverse(multiply(multiply(multiply(inverse(X_4),X_4),inverse(multiply(inverse(multiply(inverse(X_5),inverse(X_4))),multiply(inverse(X_5),X_3)))),X_4)),C)))),X_1)))]]) ).
cnf(refute_0_93,plain,
( multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(inverse(multiply(multiply(multiply(inverse(X_4),X_4),inverse(multiply(inverse(multiply(inverse(X_5),inverse(X_4))),multiply(inverse(X_5),X_3)))),X_4)),C)))),X_1) != multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)
| inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(inverse(multiply(multiply(multiply(inverse(X_4),X_4),inverse(multiply(inverse(multiply(inverse(X_5),inverse(X_4))),multiply(inverse(X_5),X_3)))),X_4)),C)))),X_1)) != inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(inverse(multiply(multiply(multiply(inverse(X_4),X_4),inverse(multiply(inverse(multiply(inverse(X_5),inverse(X_4))),multiply(inverse(X_5),X_3)))),X_4)),C)))),X_1))
| inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(inverse(multiply(multiply(multiply(inverse(X_4),X_4),inverse(multiply(inverse(multiply(inverse(X_5),inverse(X_4))),multiply(inverse(X_5),X_3)))),X_4)),C)))),X_1)) = inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(inverse(multiply(multiply(multiply(inverse(X_4),X_4),inverse(multiply(inverse(multiply(inverse(X_5),inverse(X_4))),multiply(inverse(X_5),X_3)))),X_4)),C)))),X_1)),inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(inverse(multiply(multiply(multiply(inverse(X_4),X_4),inverse(multiply(inverse(multiply(inverse(X_5),inverse(X_4))),multiply(inverse(X_5),X_3)))),X_4)),C)))),X_1))) ),[1,0],$fot(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1))]]) ).
cnf(refute_0_94,plain,
( multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(inverse(multiply(multiply(multiply(inverse(X_4),X_4),inverse(multiply(inverse(multiply(inverse(X_5),inverse(X_4))),multiply(inverse(X_5),X_3)))),X_4)),C)))),X_1) != multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)
| inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(inverse(multiply(multiply(multiply(inverse(X_4),X_4),inverse(multiply(inverse(multiply(inverse(X_5),inverse(X_4))),multiply(inverse(X_5),X_3)))),X_4)),C)))),X_1)) = inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(inverse(multiply(multiply(multiply(inverse(X_4),X_4),inverse(multiply(inverse(multiply(inverse(X_5),inverse(X_4))),multiply(inverse(X_5),X_3)))),X_4)),C)))),X_1)),inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(inverse(multiply(multiply(multiply(inverse(X_4),X_4),inverse(multiply(inverse(multiply(inverse(X_5),inverse(X_4))),multiply(inverse(X_5),X_3)))),X_4)),C)))),X_1))) )],[refute_0_92,refute_0_93]) ).
cnf(refute_0_95,plain,
inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(inverse(multiply(multiply(multiply(inverse(X_4),X_4),inverse(multiply(inverse(multiply(inverse(X_5),inverse(X_4))),multiply(inverse(X_5),X_3)))),X_4)),C)))),X_1)) = inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(inverse(multiply(multiply(multiply(inverse(X_4),X_4),inverse(multiply(inverse(multiply(inverse(X_5),inverse(X_4))),multiply(inverse(X_5),X_3)))),X_4)),C)))),X_1),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)) )],[refute_0_91,refute_0_94]) ).
cnf(refute_0_96,plain,
( inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(inverse(multiply(multiply(multiply(inverse(X_4),X_4),inverse(multiply(inverse(multiply(inverse(X_5),inverse(X_4))),multiply(inverse(X_5),X_3)))),X_4)),C)))),X_1)) != C
| inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(inverse(multiply(multiply(multiply(inverse(X_4),X_4),inverse(multiply(inverse(multiply(inverse(X_5),inverse(X_4))),multiply(inverse(X_5),X_3)))),X_4)),C)))),X_1)) != inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1))
| inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)) = C ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(inverse(multiply(multiply(multiply(inverse(X_4),X_4),inverse(multiply(inverse(multiply(inverse(X_5),inverse(X_4))),multiply(inverse(X_5),X_3)))),X_4)),C)))),X_1)),C) ),[0],$fot(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)))]]) ).
cnf(refute_0_97,plain,
( inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(inverse(multiply(multiply(multiply(inverse(X_4),X_4),inverse(multiply(inverse(multiply(inverse(X_5),inverse(X_4))),multiply(inverse(X_5),X_3)))),X_4)),C)))),X_1)) != C
| inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)) = C ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(inverse(multiply(multiply(multiply(inverse(X_4),X_4),inverse(multiply(inverse(multiply(inverse(X_5),inverse(X_4))),multiply(inverse(X_5),X_3)))),X_4)),C)))),X_1)),inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1))) )],[refute_0_95,refute_0_96]) ).
cnf(refute_0_98,plain,
inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)) = C,
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(inverse(multiply(multiply(multiply(inverse(X_4),X_4),inverse(multiply(inverse(multiply(inverse(X_5),inverse(X_4))),multiply(inverse(X_5),X_3)))),X_4)),C)))),X_1)),C) )],[refute_0_71,refute_0_97]) ).
cnf(refute_0_99,plain,
inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(multiply(multiply(inverse(inverse(X_1)),inverse(X_1)),inverse(multiply(inverse(multiply(X_8,inverse(inverse(X_1)))),multiply(X_8,X_6)))),inverse(X_1))),multiply(multiply(multiply(inverse(inverse(X_1)),inverse(X_1)),inverse(multiply(inverse(multiply(X_8,inverse(inverse(X_1)))),multiply(X_8,X_6)))),C)))),X_1)) = C,
inference(subst,[],[refute_0_98:[bind(X_3,$fot(multiply(multiply(inverse(inverse(X_1)),inverse(X_1)),inverse(multiply(inverse(multiply(X_8,inverse(inverse(X_1)))),multiply(X_8,X_6))))))]]) ).
cnf(refute_0_100,plain,
inverse(multiply(multiply(multiply(inverse(inverse(X_1)),inverse(X_1)),inverse(multiply(inverse(multiply(X_8,inverse(inverse(X_1)))),multiply(X_8,X_6)))),inverse(X_1))) = X_6,
inference(subst,[],[refute_0_98:[bind(C,$fot(X_6)),bind(X_1,$fot(inverse(X_1))),bind(X_3,$fot(X_8))]]) ).
cnf(refute_0_101,plain,
( inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(multiply(multiply(inverse(inverse(X_1)),inverse(X_1)),inverse(multiply(inverse(multiply(X_8,inverse(inverse(X_1)))),multiply(X_8,X_6)))),inverse(X_1))),multiply(multiply(multiply(inverse(inverse(X_1)),inverse(X_1)),inverse(multiply(inverse(multiply(X_8,inverse(inverse(X_1)))),multiply(X_8,X_6)))),C)))),X_1)) != C
| inverse(multiply(multiply(multiply(inverse(inverse(X_1)),inverse(X_1)),inverse(multiply(inverse(multiply(X_8,inverse(inverse(X_1)))),multiply(X_8,X_6)))),inverse(X_1))) != X_6
| inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(X_6,multiply(multiply(multiply(inverse(inverse(X_1)),inverse(X_1)),inverse(multiply(inverse(multiply(X_8,inverse(inverse(X_1)))),multiply(X_8,X_6)))),C)))),X_1)) = C ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(multiply(multiply(inverse(inverse(X_1)),inverse(X_1)),inverse(multiply(inverse(multiply(X_8,inverse(inverse(X_1)))),multiply(X_8,X_6)))),inverse(X_1))),multiply(multiply(multiply(inverse(inverse(X_1)),inverse(X_1)),inverse(multiply(inverse(multiply(X_8,inverse(inverse(X_1)))),multiply(X_8,X_6)))),C)))),X_1)),C) ),[0,0,0,1,0,0],$fot(X_6)]]) ).
cnf(refute_0_102,plain,
( inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(multiply(multiply(inverse(inverse(X_1)),inverse(X_1)),inverse(multiply(inverse(multiply(X_8,inverse(inverse(X_1)))),multiply(X_8,X_6)))),inverse(X_1))),multiply(multiply(multiply(inverse(inverse(X_1)),inverse(X_1)),inverse(multiply(inverse(multiply(X_8,inverse(inverse(X_1)))),multiply(X_8,X_6)))),C)))),X_1)) != C
| inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(X_6,multiply(multiply(multiply(inverse(inverse(X_1)),inverse(X_1)),inverse(multiply(inverse(multiply(X_8,inverse(inverse(X_1)))),multiply(X_8,X_6)))),C)))),X_1)) = C ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(multiply(inverse(inverse(X_1)),inverse(X_1)),inverse(multiply(inverse(multiply(X_8,inverse(inverse(X_1)))),multiply(X_8,X_6)))),inverse(X_1))),X_6) )],[refute_0_100,refute_0_101]) ).
cnf(refute_0_103,plain,
inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(X_6,multiply(multiply(multiply(inverse(inverse(X_1)),inverse(X_1)),inverse(multiply(inverse(multiply(X_8,inverse(inverse(X_1)))),multiply(X_8,X_6)))),C)))),X_1)) = C,
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(multiply(multiply(inverse(inverse(X_1)),inverse(X_1)),inverse(multiply(inverse(multiply(X_8,inverse(inverse(X_1)))),multiply(X_8,X_6)))),inverse(X_1))),multiply(multiply(multiply(inverse(inverse(X_1)),inverse(X_1)),inverse(multiply(inverse(multiply(X_8,inverse(inverse(X_1)))),multiply(X_8,X_6)))),C)))),X_1)),C) )],[refute_0_99,refute_0_102]) ).
cnf(refute_0_104,plain,
inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(X_105),multiply(multiply(multiply(inverse(inverse(X_1)),inverse(X_1)),inverse(multiply(inverse(multiply(multiply(inverse(X_106),X_106),inverse(inverse(X_1)))),multiply(multiply(inverse(X_106),X_106),inverse(X_105))))),inverse(X_1))))),X_1)) = inverse(X_1),
inference(subst,[],[refute_0_103:[bind(C,$fot(inverse(X_1))),bind(X_6,$fot(inverse(X_105))),bind(X_8,$fot(multiply(inverse(X_106),X_106)))]]) ).
cnf(refute_0_105,plain,
multiply(inverse(multiply(X_9,inverse(X_10))),multiply(X_9,inverse(multiply(multiply(multiply(inverse(X_10),X_10),inverse(C)),X_10)))) = multiply(multiply(multiply(inverse(X_52),X_52),inverse(multiply(inverse(multiply(multiply(inverse(X_10),X_10),inverse(X_52))),multiply(multiply(inverse(X_10),X_10),inverse(C))))),X_52),
inference(subst,[],[refute_0_19:[bind(B,$fot(X_52)),bind(C,$fot(multiply(multiply(inverse(X_10),X_10),inverse(C)))),bind(X_14,$fot(X_10)),bind(X_15,$fot(X_9))]]) ).
cnf(refute_0_106,plain,
( multiply(inverse(multiply(X_9,inverse(X_10))),multiply(X_9,inverse(multiply(multiply(multiply(inverse(X_10),X_10),inverse(C)),X_10)))) != C
| multiply(inverse(multiply(X_9,inverse(X_10))),multiply(X_9,inverse(multiply(multiply(multiply(inverse(X_10),X_10),inverse(C)),X_10)))) != multiply(multiply(multiply(inverse(X_52),X_52),inverse(multiply(inverse(multiply(multiply(inverse(X_10),X_10),inverse(X_52))),multiply(multiply(inverse(X_10),X_10),inverse(C))))),X_52)
| multiply(multiply(multiply(inverse(X_52),X_52),inverse(multiply(inverse(multiply(multiply(inverse(X_10),X_10),inverse(X_52))),multiply(multiply(inverse(X_10),X_10),inverse(C))))),X_52) = C ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_9,inverse(X_10))),multiply(X_9,inverse(multiply(multiply(multiply(inverse(X_10),X_10),inverse(C)),X_10)))),C) ),[0],$fot(multiply(multiply(multiply(inverse(X_52),X_52),inverse(multiply(inverse(multiply(multiply(inverse(X_10),X_10),inverse(X_52))),multiply(multiply(inverse(X_10),X_10),inverse(C))))),X_52))]]) ).
cnf(refute_0_107,plain,
( multiply(inverse(multiply(X_9,inverse(X_10))),multiply(X_9,inverse(multiply(multiply(multiply(inverse(X_10),X_10),inverse(C)),X_10)))) != C
| multiply(multiply(multiply(inverse(X_52),X_52),inverse(multiply(inverse(multiply(multiply(inverse(X_10),X_10),inverse(X_52))),multiply(multiply(inverse(X_10),X_10),inverse(C))))),X_52) = C ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_9,inverse(X_10))),multiply(X_9,inverse(multiply(multiply(multiply(inverse(X_10),X_10),inverse(C)),X_10)))),multiply(multiply(multiply(inverse(X_52),X_52),inverse(multiply(inverse(multiply(multiply(inverse(X_10),X_10),inverse(X_52))),multiply(multiply(inverse(X_10),X_10),inverse(C))))),X_52)) )],[refute_0_105,refute_0_106]) ).
cnf(refute_0_108,plain,
multiply(multiply(multiply(inverse(X_52),X_52),inverse(multiply(inverse(multiply(multiply(inverse(X_10),X_10),inverse(X_52))),multiply(multiply(inverse(X_10),X_10),inverse(C))))),X_52) = C,
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_9,inverse(X_10))),multiply(X_9,inverse(multiply(multiply(multiply(inverse(X_10),X_10),inverse(C)),X_10)))),C) )],[refute_0_14,refute_0_107]) ).
cnf(refute_0_109,plain,
multiply(multiply(multiply(inverse(inverse(X_1)),inverse(X_1)),inverse(multiply(inverse(multiply(multiply(inverse(X_106),X_106),inverse(inverse(X_1)))),multiply(multiply(inverse(X_106),X_106),inverse(X_105))))),inverse(X_1)) = X_105,
inference(subst,[],[refute_0_108:[bind(C,$fot(X_105)),bind(X_10,$fot(X_106)),bind(X_52,$fot(inverse(X_1)))]]) ).
cnf(refute_0_110,plain,
( multiply(multiply(multiply(inverse(inverse(X_1)),inverse(X_1)),inverse(multiply(inverse(multiply(multiply(inverse(X_106),X_106),inverse(inverse(X_1)))),multiply(multiply(inverse(X_106),X_106),inverse(X_105))))),inverse(X_1)) != X_105
| inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(X_105),multiply(multiply(multiply(inverse(inverse(X_1)),inverse(X_1)),inverse(multiply(inverse(multiply(multiply(inverse(X_106),X_106),inverse(inverse(X_1)))),multiply(multiply(inverse(X_106),X_106),inverse(X_105))))),inverse(X_1))))),X_1)) != inverse(X_1)
| inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(X_105),X_105))),X_1)) = inverse(X_1) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(X_105),multiply(multiply(multiply(inverse(inverse(X_1)),inverse(X_1)),inverse(multiply(inverse(multiply(multiply(inverse(X_106),X_106),inverse(inverse(X_1)))),multiply(multiply(inverse(X_106),X_106),inverse(X_105))))),inverse(X_1))))),X_1)),inverse(X_1)) ),[0,0,0,1,0,1],$fot(X_105)]]) ).
cnf(refute_0_111,plain,
( inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(X_105),multiply(multiply(multiply(inverse(inverse(X_1)),inverse(X_1)),inverse(multiply(inverse(multiply(multiply(inverse(X_106),X_106),inverse(inverse(X_1)))),multiply(multiply(inverse(X_106),X_106),inverse(X_105))))),inverse(X_1))))),X_1)) != inverse(X_1)
| inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(X_105),X_105))),X_1)) = inverse(X_1) ),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(inverse(inverse(X_1)),inverse(X_1)),inverse(multiply(inverse(multiply(multiply(inverse(X_106),X_106),inverse(inverse(X_1)))),multiply(multiply(inverse(X_106),X_106),inverse(X_105))))),inverse(X_1)),X_105) )],[refute_0_109,refute_0_110]) ).
cnf(refute_0_112,plain,
inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(X_105),X_105))),X_1)) = inverse(X_1),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(X_105),multiply(multiply(multiply(inverse(inverse(X_1)),inverse(X_1)),inverse(multiply(inverse(multiply(multiply(inverse(X_106),X_106),inverse(inverse(X_1)))),multiply(multiply(inverse(X_106),X_106),inverse(X_105))))),inverse(X_1))))),X_1)),inverse(X_1)) )],[refute_0_104,refute_0_111]) ).
cnf(refute_0_113,plain,
inverse(multiply(multiply(multiply(inverse(X_14),X_14),inverse(multiply(inverse(X_109),X_109))),X_14)) = inverse(X_14),
inference(subst,[],[refute_0_112:[bind(X_1,$fot(X_14)),bind(X_105,$fot(X_109))]]) ).
cnf(refute_0_114,plain,
( multiply(inverse(multiply(X_15,inverse(X_14))),multiply(X_15,inverse(multiply(multiply(multiply(inverse(X_14),X_14),inverse(multiply(inverse(X_109),X_109))),X_14)))) != multiply(multiply(multiply(inverse(B),B),inverse(multiply(inverse(multiply(multiply(inverse(X_14),X_14),inverse(B))),multiply(multiply(inverse(X_14),X_14),inverse(multiply(inverse(X_109),X_109)))))),B)
| inverse(multiply(multiply(multiply(inverse(X_14),X_14),inverse(multiply(inverse(X_109),X_109))),X_14)) != inverse(X_14)
| multiply(inverse(multiply(X_15,inverse(X_14))),multiply(X_15,inverse(X_14))) = multiply(multiply(multiply(inverse(B),B),inverse(multiply(inverse(multiply(multiply(inverse(X_14),X_14),inverse(B))),multiply(multiply(inverse(X_14),X_14),inverse(multiply(inverse(X_109),X_109)))))),B) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_15,inverse(X_14))),multiply(X_15,inverse(multiply(multiply(multiply(inverse(X_14),X_14),inverse(multiply(inverse(X_109),X_109))),X_14)))),multiply(multiply(multiply(inverse(B),B),inverse(multiply(inverse(multiply(multiply(inverse(X_14),X_14),inverse(B))),multiply(multiply(inverse(X_14),X_14),inverse(multiply(inverse(X_109),X_109)))))),B)) ),[0,1,1],$fot(inverse(X_14))]]) ).
cnf(refute_0_115,plain,
( multiply(inverse(multiply(X_15,inverse(X_14))),multiply(X_15,inverse(multiply(multiply(multiply(inverse(X_14),X_14),inverse(multiply(inverse(X_109),X_109))),X_14)))) != multiply(multiply(multiply(inverse(B),B),inverse(multiply(inverse(multiply(multiply(inverse(X_14),X_14),inverse(B))),multiply(multiply(inverse(X_14),X_14),inverse(multiply(inverse(X_109),X_109)))))),B)
| multiply(inverse(multiply(X_15,inverse(X_14))),multiply(X_15,inverse(X_14))) = multiply(multiply(multiply(inverse(B),B),inverse(multiply(inverse(multiply(multiply(inverse(X_14),X_14),inverse(B))),multiply(multiply(inverse(X_14),X_14),inverse(multiply(inverse(X_109),X_109)))))),B) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(multiply(inverse(X_14),X_14),inverse(multiply(inverse(X_109),X_109))),X_14)),inverse(X_14)) )],[refute_0_113,refute_0_114]) ).
cnf(refute_0_116,plain,
multiply(inverse(multiply(X_15,inverse(X_14))),multiply(X_15,inverse(X_14))) = multiply(multiply(multiply(inverse(B),B),inverse(multiply(inverse(multiply(multiply(inverse(X_14),X_14),inverse(B))),multiply(multiply(inverse(X_14),X_14),inverse(multiply(inverse(X_109),X_109)))))),B),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_15,inverse(X_14))),multiply(X_15,inverse(multiply(multiply(multiply(inverse(X_14),X_14),inverse(multiply(inverse(X_109),X_109))),X_14)))),multiply(multiply(multiply(inverse(B),B),inverse(multiply(inverse(multiply(multiply(inverse(X_14),X_14),inverse(B))),multiply(multiply(inverse(X_14),X_14),inverse(multiply(inverse(X_109),X_109)))))),B)) )],[refute_0_20,refute_0_115]) ).
cnf(refute_0_117,plain,
multiply(multiply(multiply(inverse(X_107),X_107),inverse(multiply(inverse(multiply(multiply(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_107))),multiply(multiply(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_105))))),X_107) = X_105,
inference(subst,[],[refute_0_108:[bind(C,$fot(X_105)),bind(X_10,$fot(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1))),bind(X_52,$fot(X_107))]]) ).
cnf(refute_0_118,plain,
( multiply(multiply(multiply(inverse(X_107),X_107),inverse(multiply(inverse(multiply(multiply(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_107))),multiply(multiply(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_105))))),X_107) != X_105
| inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)) != C
| multiply(multiply(multiply(inverse(X_107),X_107),inverse(multiply(inverse(multiply(multiply(C,multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_107))),multiply(multiply(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_105))))),X_107) = X_105 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(multiply(inverse(X_107),X_107),inverse(multiply(inverse(multiply(multiply(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_107))),multiply(multiply(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_105))))),X_107),X_105) ),[0,0,1,0,0,0,0,0],$fot(C)]]) ).
cnf(refute_0_119,plain,
( multiply(multiply(multiply(inverse(X_107),X_107),inverse(multiply(inverse(multiply(multiply(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_107))),multiply(multiply(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_105))))),X_107) != X_105
| multiply(multiply(multiply(inverse(X_107),X_107),inverse(multiply(inverse(multiply(multiply(C,multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_107))),multiply(multiply(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_105))))),X_107) = X_105 ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),C) )],[refute_0_98,refute_0_118]) ).
cnf(refute_0_120,plain,
multiply(multiply(multiply(inverse(X_107),X_107),inverse(multiply(inverse(multiply(multiply(C,multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_107))),multiply(multiply(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_105))))),X_107) = X_105,
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(inverse(X_107),X_107),inverse(multiply(inverse(multiply(multiply(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_107))),multiply(multiply(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_105))))),X_107),X_105) )],[refute_0_117,refute_0_119]) ).
cnf(refute_0_121,plain,
multiply(inverse(multiply(X_15,inverse(X_14))),multiply(X_15,inverse(multiply(multiply(multiply(inverse(X_14),X_14),inverse(multiply(inverse(multiply(X_3,inverse(X_14))),multiply(X_3,C)))),X_14)))) = multiply(inverse(multiply(X_3,inverse(X_14))),multiply(X_3,C)),
inference(subst,[],[refute_0_14:[bind(C,$fot(multiply(inverse(multiply(X_3,inverse(X_14))),multiply(X_3,C)))),bind(X_10,$fot(X_14)),bind(X_9,$fot(X_15))]]) ).
cnf(refute_0_122,plain,
inverse(multiply(multiply(multiply(inverse(X_14),X_14),inverse(multiply(inverse(multiply(X_3,inverse(X_14))),multiply(X_3,C)))),X_14)) = C,
inference(subst,[],[refute_0_98:[bind(X_1,$fot(X_14))]]) ).
cnf(refute_0_123,plain,
( multiply(inverse(multiply(X_15,inverse(X_14))),multiply(X_15,inverse(multiply(multiply(multiply(inverse(X_14),X_14),inverse(multiply(inverse(multiply(X_3,inverse(X_14))),multiply(X_3,C)))),X_14)))) != multiply(inverse(multiply(X_3,inverse(X_14))),multiply(X_3,C))
| inverse(multiply(multiply(multiply(inverse(X_14),X_14),inverse(multiply(inverse(multiply(X_3,inverse(X_14))),multiply(X_3,C)))),X_14)) != C
| multiply(inverse(multiply(X_15,inverse(X_14))),multiply(X_15,C)) = multiply(inverse(multiply(X_3,inverse(X_14))),multiply(X_3,C)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_15,inverse(X_14))),multiply(X_15,inverse(multiply(multiply(multiply(inverse(X_14),X_14),inverse(multiply(inverse(multiply(X_3,inverse(X_14))),multiply(X_3,C)))),X_14)))),multiply(inverse(multiply(X_3,inverse(X_14))),multiply(X_3,C))) ),[0,1,1],$fot(C)]]) ).
cnf(refute_0_124,plain,
( multiply(inverse(multiply(X_15,inverse(X_14))),multiply(X_15,inverse(multiply(multiply(multiply(inverse(X_14),X_14),inverse(multiply(inverse(multiply(X_3,inverse(X_14))),multiply(X_3,C)))),X_14)))) != multiply(inverse(multiply(X_3,inverse(X_14))),multiply(X_3,C))
| multiply(inverse(multiply(X_15,inverse(X_14))),multiply(X_15,C)) = multiply(inverse(multiply(X_3,inverse(X_14))),multiply(X_3,C)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(multiply(inverse(X_14),X_14),inverse(multiply(inverse(multiply(X_3,inverse(X_14))),multiply(X_3,C)))),X_14)),C) )],[refute_0_122,refute_0_123]) ).
cnf(refute_0_125,plain,
multiply(inverse(multiply(X_15,inverse(X_14))),multiply(X_15,C)) = multiply(inverse(multiply(X_3,inverse(X_14))),multiply(X_3,C)),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_15,inverse(X_14))),multiply(X_15,inverse(multiply(multiply(multiply(inverse(X_14),X_14),inverse(multiply(inverse(multiply(X_3,inverse(X_14))),multiply(X_3,C)))),X_14)))),multiply(inverse(multiply(X_3,inverse(X_14))),multiply(X_3,C))) )],[refute_0_121,refute_0_124]) ).
cnf(refute_0_126,plain,
multiply(inverse(multiply(X_15,inverse(multiply(multiply(multiply(inverse(X_25),X_25),inverse(multiply(X_26,multiply(multiply(multiply(inverse(inverse(X_25)),inverse(X_25)),inverse(multiply(inverse(multiply(X_27,inverse(inverse(X_25)))),multiply(X_27,X_26)))),X_24)))),X_25)))),multiply(X_15,C)) = multiply(inverse(multiply(X_3,inverse(multiply(multiply(multiply(inverse(X_25),X_25),inverse(multiply(X_26,multiply(multiply(multiply(inverse(inverse(X_25)),inverse(X_25)),inverse(multiply(inverse(multiply(X_27,inverse(inverse(X_25)))),multiply(X_27,X_26)))),X_24)))),X_25)))),multiply(X_3,C)),
inference(subst,[],[refute_0_125:[bind(X_14,$fot(multiply(multiply(multiply(inverse(X_25),X_25),inverse(multiply(X_26,multiply(multiply(multiply(inverse(inverse(X_25)),inverse(X_25)),inverse(multiply(inverse(multiply(X_27,inverse(inverse(X_25)))),multiply(X_27,X_26)))),X_24)))),X_25)))]]) ).
cnf(refute_0_127,plain,
inverse(multiply(multiply(multiply(inverse(X_25),X_25),inverse(multiply(X_26,multiply(multiply(multiply(inverse(inverse(X_25)),inverse(X_25)),inverse(multiply(inverse(multiply(X_27,inverse(inverse(X_25)))),multiply(X_27,X_26)))),X_24)))),X_25)) = X_24,
inference(subst,[],[refute_0_103:[bind(C,$fot(X_24)),bind(X_1,$fot(X_25)),bind(X_6,$fot(X_26)),bind(X_8,$fot(X_27))]]) ).
cnf(refute_0_128,plain,
( multiply(inverse(multiply(X_15,inverse(multiply(multiply(multiply(inverse(X_25),X_25),inverse(multiply(X_26,multiply(multiply(multiply(inverse(inverse(X_25)),inverse(X_25)),inverse(multiply(inverse(multiply(X_27,inverse(inverse(X_25)))),multiply(X_27,X_26)))),X_24)))),X_25)))),multiply(X_15,C)) != multiply(inverse(multiply(X_3,inverse(multiply(multiply(multiply(inverse(X_25),X_25),inverse(multiply(X_26,multiply(multiply(multiply(inverse(inverse(X_25)),inverse(X_25)),inverse(multiply(inverse(multiply(X_27,inverse(inverse(X_25)))),multiply(X_27,X_26)))),X_24)))),X_25)))),multiply(X_3,C))
| inverse(multiply(multiply(multiply(inverse(X_25),X_25),inverse(multiply(X_26,multiply(multiply(multiply(inverse(inverse(X_25)),inverse(X_25)),inverse(multiply(inverse(multiply(X_27,inverse(inverse(X_25)))),multiply(X_27,X_26)))),X_24)))),X_25)) != X_24
| multiply(inverse(multiply(X_15,inverse(multiply(multiply(multiply(inverse(X_25),X_25),inverse(multiply(X_26,multiply(multiply(multiply(inverse(inverse(X_25)),inverse(X_25)),inverse(multiply(inverse(multiply(X_27,inverse(inverse(X_25)))),multiply(X_27,X_26)))),X_24)))),X_25)))),multiply(X_15,C)) = multiply(inverse(multiply(X_3,X_24)),multiply(X_3,C)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_15,inverse(multiply(multiply(multiply(inverse(X_25),X_25),inverse(multiply(X_26,multiply(multiply(multiply(inverse(inverse(X_25)),inverse(X_25)),inverse(multiply(inverse(multiply(X_27,inverse(inverse(X_25)))),multiply(X_27,X_26)))),X_24)))),X_25)))),multiply(X_15,C)),multiply(inverse(multiply(X_3,inverse(multiply(multiply(multiply(inverse(X_25),X_25),inverse(multiply(X_26,multiply(multiply(multiply(inverse(inverse(X_25)),inverse(X_25)),inverse(multiply(inverse(multiply(X_27,inverse(inverse(X_25)))),multiply(X_27,X_26)))),X_24)))),X_25)))),multiply(X_3,C))) ),[1,0,0,1],$fot(X_24)]]) ).
cnf(refute_0_129,plain,
( multiply(inverse(multiply(X_15,inverse(multiply(multiply(multiply(inverse(X_25),X_25),inverse(multiply(X_26,multiply(multiply(multiply(inverse(inverse(X_25)),inverse(X_25)),inverse(multiply(inverse(multiply(X_27,inverse(inverse(X_25)))),multiply(X_27,X_26)))),X_24)))),X_25)))),multiply(X_15,C)) != multiply(inverse(multiply(X_3,inverse(multiply(multiply(multiply(inverse(X_25),X_25),inverse(multiply(X_26,multiply(multiply(multiply(inverse(inverse(X_25)),inverse(X_25)),inverse(multiply(inverse(multiply(X_27,inverse(inverse(X_25)))),multiply(X_27,X_26)))),X_24)))),X_25)))),multiply(X_3,C))
| multiply(inverse(multiply(X_15,inverse(multiply(multiply(multiply(inverse(X_25),X_25),inverse(multiply(X_26,multiply(multiply(multiply(inverse(inverse(X_25)),inverse(X_25)),inverse(multiply(inverse(multiply(X_27,inverse(inverse(X_25)))),multiply(X_27,X_26)))),X_24)))),X_25)))),multiply(X_15,C)) = multiply(inverse(multiply(X_3,X_24)),multiply(X_3,C)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(multiply(inverse(X_25),X_25),inverse(multiply(X_26,multiply(multiply(multiply(inverse(inverse(X_25)),inverse(X_25)),inverse(multiply(inverse(multiply(X_27,inverse(inverse(X_25)))),multiply(X_27,X_26)))),X_24)))),X_25)),X_24) )],[refute_0_127,refute_0_128]) ).
cnf(refute_0_130,plain,
multiply(inverse(multiply(X_15,inverse(multiply(multiply(multiply(inverse(X_25),X_25),inverse(multiply(X_26,multiply(multiply(multiply(inverse(inverse(X_25)),inverse(X_25)),inverse(multiply(inverse(multiply(X_27,inverse(inverse(X_25)))),multiply(X_27,X_26)))),X_24)))),X_25)))),multiply(X_15,C)) = multiply(inverse(multiply(X_3,X_24)),multiply(X_3,C)),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_15,inverse(multiply(multiply(multiply(inverse(X_25),X_25),inverse(multiply(X_26,multiply(multiply(multiply(inverse(inverse(X_25)),inverse(X_25)),inverse(multiply(inverse(multiply(X_27,inverse(inverse(X_25)))),multiply(X_27,X_26)))),X_24)))),X_25)))),multiply(X_15,C)),multiply(inverse(multiply(X_3,inverse(multiply(multiply(multiply(inverse(X_25),X_25),inverse(multiply(X_26,multiply(multiply(multiply(inverse(inverse(X_25)),inverse(X_25)),inverse(multiply(inverse(multiply(X_27,inverse(inverse(X_25)))),multiply(X_27,X_26)))),X_24)))),X_25)))),multiply(X_3,C))) )],[refute_0_126,refute_0_129]) ).
cnf(refute_0_131,plain,
multiply(X_15,inverse(multiply(multiply(multiply(inverse(X_25),X_25),inverse(multiply(X_26,multiply(multiply(multiply(inverse(inverse(X_25)),inverse(X_25)),inverse(multiply(inverse(multiply(X_27,inverse(inverse(X_25)))),multiply(X_27,X_26)))),X_24)))),X_25))) = multiply(X_15,inverse(multiply(multiply(multiply(inverse(X_25),X_25),inverse(multiply(X_26,multiply(multiply(multiply(inverse(inverse(X_25)),inverse(X_25)),inverse(multiply(inverse(multiply(X_27,inverse(inverse(X_25)))),multiply(X_27,X_26)))),X_24)))),X_25))),
introduced(tautology,[refl,[$fot(multiply(X_15,inverse(multiply(multiply(multiply(inverse(X_25),X_25),inverse(multiply(X_26,multiply(multiply(multiply(inverse(inverse(X_25)),inverse(X_25)),inverse(multiply(inverse(multiply(X_27,inverse(inverse(X_25)))),multiply(X_27,X_26)))),X_24)))),X_25))))]]) ).
cnf(refute_0_132,plain,
( multiply(X_15,inverse(multiply(multiply(multiply(inverse(X_25),X_25),inverse(multiply(X_26,multiply(multiply(multiply(inverse(inverse(X_25)),inverse(X_25)),inverse(multiply(inverse(multiply(X_27,inverse(inverse(X_25)))),multiply(X_27,X_26)))),X_24)))),X_25))) != multiply(X_15,inverse(multiply(multiply(multiply(inverse(X_25),X_25),inverse(multiply(X_26,multiply(multiply(multiply(inverse(inverse(X_25)),inverse(X_25)),inverse(multiply(inverse(multiply(X_27,inverse(inverse(X_25)))),multiply(X_27,X_26)))),X_24)))),X_25)))
| inverse(multiply(multiply(multiply(inverse(X_25),X_25),inverse(multiply(X_26,multiply(multiply(multiply(inverse(inverse(X_25)),inverse(X_25)),inverse(multiply(inverse(multiply(X_27,inverse(inverse(X_25)))),multiply(X_27,X_26)))),X_24)))),X_25)) != X_24
| multiply(X_15,inverse(multiply(multiply(multiply(inverse(X_25),X_25),inverse(multiply(X_26,multiply(multiply(multiply(inverse(inverse(X_25)),inverse(X_25)),inverse(multiply(inverse(multiply(X_27,inverse(inverse(X_25)))),multiply(X_27,X_26)))),X_24)))),X_25))) = multiply(X_15,X_24) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_15,inverse(multiply(multiply(multiply(inverse(X_25),X_25),inverse(multiply(X_26,multiply(multiply(multiply(inverse(inverse(X_25)),inverse(X_25)),inverse(multiply(inverse(multiply(X_27,inverse(inverse(X_25)))),multiply(X_27,X_26)))),X_24)))),X_25))),multiply(X_15,inverse(multiply(multiply(multiply(inverse(X_25),X_25),inverse(multiply(X_26,multiply(multiply(multiply(inverse(inverse(X_25)),inverse(X_25)),inverse(multiply(inverse(multiply(X_27,inverse(inverse(X_25)))),multiply(X_27,X_26)))),X_24)))),X_25)))) ),[1,1],$fot(X_24)]]) ).
cnf(refute_0_133,plain,
( inverse(multiply(multiply(multiply(inverse(X_25),X_25),inverse(multiply(X_26,multiply(multiply(multiply(inverse(inverse(X_25)),inverse(X_25)),inverse(multiply(inverse(multiply(X_27,inverse(inverse(X_25)))),multiply(X_27,X_26)))),X_24)))),X_25)) != X_24
| multiply(X_15,inverse(multiply(multiply(multiply(inverse(X_25),X_25),inverse(multiply(X_26,multiply(multiply(multiply(inverse(inverse(X_25)),inverse(X_25)),inverse(multiply(inverse(multiply(X_27,inverse(inverse(X_25)))),multiply(X_27,X_26)))),X_24)))),X_25))) = multiply(X_15,X_24) ),
inference(resolve,[$cnf( $equal(multiply(X_15,inverse(multiply(multiply(multiply(inverse(X_25),X_25),inverse(multiply(X_26,multiply(multiply(multiply(inverse(inverse(X_25)),inverse(X_25)),inverse(multiply(inverse(multiply(X_27,inverse(inverse(X_25)))),multiply(X_27,X_26)))),X_24)))),X_25))),multiply(X_15,inverse(multiply(multiply(multiply(inverse(X_25),X_25),inverse(multiply(X_26,multiply(multiply(multiply(inverse(inverse(X_25)),inverse(X_25)),inverse(multiply(inverse(multiply(X_27,inverse(inverse(X_25)))),multiply(X_27,X_26)))),X_24)))),X_25)))) )],[refute_0_131,refute_0_132]) ).
cnf(refute_0_134,plain,
multiply(X_15,inverse(multiply(multiply(multiply(inverse(X_25),X_25),inverse(multiply(X_26,multiply(multiply(multiply(inverse(inverse(X_25)),inverse(X_25)),inverse(multiply(inverse(multiply(X_27,inverse(inverse(X_25)))),multiply(X_27,X_26)))),X_24)))),X_25))) = multiply(X_15,X_24),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(multiply(inverse(X_25),X_25),inverse(multiply(X_26,multiply(multiply(multiply(inverse(inverse(X_25)),inverse(X_25)),inverse(multiply(inverse(multiply(X_27,inverse(inverse(X_25)))),multiply(X_27,X_26)))),X_24)))),X_25)),X_24) )],[refute_0_127,refute_0_133]) ).
cnf(refute_0_135,plain,
inverse(multiply(X_15,inverse(multiply(multiply(multiply(inverse(X_25),X_25),inverse(multiply(X_26,multiply(multiply(multiply(inverse(inverse(X_25)),inverse(X_25)),inverse(multiply(inverse(multiply(X_27,inverse(inverse(X_25)))),multiply(X_27,X_26)))),X_24)))),X_25)))) = inverse(multiply(X_15,inverse(multiply(multiply(multiply(inverse(X_25),X_25),inverse(multiply(X_26,multiply(multiply(multiply(inverse(inverse(X_25)),inverse(X_25)),inverse(multiply(inverse(multiply(X_27,inverse(inverse(X_25)))),multiply(X_27,X_26)))),X_24)))),X_25)))),
introduced(tautology,[refl,[$fot(inverse(multiply(X_15,inverse(multiply(multiply(multiply(inverse(X_25),X_25),inverse(multiply(X_26,multiply(multiply(multiply(inverse(inverse(X_25)),inverse(X_25)),inverse(multiply(inverse(multiply(X_27,inverse(inverse(X_25)))),multiply(X_27,X_26)))),X_24)))),X_25)))))]]) ).
cnf(refute_0_136,plain,
( multiply(X_15,inverse(multiply(multiply(multiply(inverse(X_25),X_25),inverse(multiply(X_26,multiply(multiply(multiply(inverse(inverse(X_25)),inverse(X_25)),inverse(multiply(inverse(multiply(X_27,inverse(inverse(X_25)))),multiply(X_27,X_26)))),X_24)))),X_25))) != multiply(X_15,X_24)
| inverse(multiply(X_15,inverse(multiply(multiply(multiply(inverse(X_25),X_25),inverse(multiply(X_26,multiply(multiply(multiply(inverse(inverse(X_25)),inverse(X_25)),inverse(multiply(inverse(multiply(X_27,inverse(inverse(X_25)))),multiply(X_27,X_26)))),X_24)))),X_25)))) != inverse(multiply(X_15,inverse(multiply(multiply(multiply(inverse(X_25),X_25),inverse(multiply(X_26,multiply(multiply(multiply(inverse(inverse(X_25)),inverse(X_25)),inverse(multiply(inverse(multiply(X_27,inverse(inverse(X_25)))),multiply(X_27,X_26)))),X_24)))),X_25))))
| inverse(multiply(X_15,inverse(multiply(multiply(multiply(inverse(X_25),X_25),inverse(multiply(X_26,multiply(multiply(multiply(inverse(inverse(X_25)),inverse(X_25)),inverse(multiply(inverse(multiply(X_27,inverse(inverse(X_25)))),multiply(X_27,X_26)))),X_24)))),X_25)))) = inverse(multiply(X_15,X_24)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_15,inverse(multiply(multiply(multiply(inverse(X_25),X_25),inverse(multiply(X_26,multiply(multiply(multiply(inverse(inverse(X_25)),inverse(X_25)),inverse(multiply(inverse(multiply(X_27,inverse(inverse(X_25)))),multiply(X_27,X_26)))),X_24)))),X_25)))),inverse(multiply(X_15,inverse(multiply(multiply(multiply(inverse(X_25),X_25),inverse(multiply(X_26,multiply(multiply(multiply(inverse(inverse(X_25)),inverse(X_25)),inverse(multiply(inverse(multiply(X_27,inverse(inverse(X_25)))),multiply(X_27,X_26)))),X_24)))),X_25))))) ),[1,0],$fot(multiply(X_15,X_24))]]) ).
cnf(refute_0_137,plain,
( multiply(X_15,inverse(multiply(multiply(multiply(inverse(X_25),X_25),inverse(multiply(X_26,multiply(multiply(multiply(inverse(inverse(X_25)),inverse(X_25)),inverse(multiply(inverse(multiply(X_27,inverse(inverse(X_25)))),multiply(X_27,X_26)))),X_24)))),X_25))) != multiply(X_15,X_24)
| inverse(multiply(X_15,inverse(multiply(multiply(multiply(inverse(X_25),X_25),inverse(multiply(X_26,multiply(multiply(multiply(inverse(inverse(X_25)),inverse(X_25)),inverse(multiply(inverse(multiply(X_27,inverse(inverse(X_25)))),multiply(X_27,X_26)))),X_24)))),X_25)))) = inverse(multiply(X_15,X_24)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_15,inverse(multiply(multiply(multiply(inverse(X_25),X_25),inverse(multiply(X_26,multiply(multiply(multiply(inverse(inverse(X_25)),inverse(X_25)),inverse(multiply(inverse(multiply(X_27,inverse(inverse(X_25)))),multiply(X_27,X_26)))),X_24)))),X_25)))),inverse(multiply(X_15,inverse(multiply(multiply(multiply(inverse(X_25),X_25),inverse(multiply(X_26,multiply(multiply(multiply(inverse(inverse(X_25)),inverse(X_25)),inverse(multiply(inverse(multiply(X_27,inverse(inverse(X_25)))),multiply(X_27,X_26)))),X_24)))),X_25))))) )],[refute_0_135,refute_0_136]) ).
cnf(refute_0_138,plain,
inverse(multiply(X_15,inverse(multiply(multiply(multiply(inverse(X_25),X_25),inverse(multiply(X_26,multiply(multiply(multiply(inverse(inverse(X_25)),inverse(X_25)),inverse(multiply(inverse(multiply(X_27,inverse(inverse(X_25)))),multiply(X_27,X_26)))),X_24)))),X_25)))) = inverse(multiply(X_15,X_24)),
inference(resolve,[$cnf( $equal(multiply(X_15,inverse(multiply(multiply(multiply(inverse(X_25),X_25),inverse(multiply(X_26,multiply(multiply(multiply(inverse(inverse(X_25)),inverse(X_25)),inverse(multiply(inverse(multiply(X_27,inverse(inverse(X_25)))),multiply(X_27,X_26)))),X_24)))),X_25))),multiply(X_15,X_24)) )],[refute_0_134,refute_0_137]) ).
cnf(refute_0_139,plain,
multiply(inverse(multiply(X_15,inverse(multiply(multiply(multiply(inverse(X_25),X_25),inverse(multiply(X_26,multiply(multiply(multiply(inverse(inverse(X_25)),inverse(X_25)),inverse(multiply(inverse(multiply(X_27,inverse(inverse(X_25)))),multiply(X_27,X_26)))),X_24)))),X_25)))),multiply(X_15,C)) = multiply(inverse(multiply(X_15,inverse(multiply(multiply(multiply(inverse(X_25),X_25),inverse(multiply(X_26,multiply(multiply(multiply(inverse(inverse(X_25)),inverse(X_25)),inverse(multiply(inverse(multiply(X_27,inverse(inverse(X_25)))),multiply(X_27,X_26)))),X_24)))),X_25)))),multiply(X_15,C)),
introduced(tautology,[refl,[$fot(multiply(inverse(multiply(X_15,inverse(multiply(multiply(multiply(inverse(X_25),X_25),inverse(multiply(X_26,multiply(multiply(multiply(inverse(inverse(X_25)),inverse(X_25)),inverse(multiply(inverse(multiply(X_27,inverse(inverse(X_25)))),multiply(X_27,X_26)))),X_24)))),X_25)))),multiply(X_15,C)))]]) ).
cnf(refute_0_140,plain,
( multiply(inverse(multiply(X_15,inverse(multiply(multiply(multiply(inverse(X_25),X_25),inverse(multiply(X_26,multiply(multiply(multiply(inverse(inverse(X_25)),inverse(X_25)),inverse(multiply(inverse(multiply(X_27,inverse(inverse(X_25)))),multiply(X_27,X_26)))),X_24)))),X_25)))),multiply(X_15,C)) != multiply(inverse(multiply(X_15,inverse(multiply(multiply(multiply(inverse(X_25),X_25),inverse(multiply(X_26,multiply(multiply(multiply(inverse(inverse(X_25)),inverse(X_25)),inverse(multiply(inverse(multiply(X_27,inverse(inverse(X_25)))),multiply(X_27,X_26)))),X_24)))),X_25)))),multiply(X_15,C))
| inverse(multiply(X_15,inverse(multiply(multiply(multiply(inverse(X_25),X_25),inverse(multiply(X_26,multiply(multiply(multiply(inverse(inverse(X_25)),inverse(X_25)),inverse(multiply(inverse(multiply(X_27,inverse(inverse(X_25)))),multiply(X_27,X_26)))),X_24)))),X_25)))) != inverse(multiply(X_15,X_24))
| multiply(inverse(multiply(X_15,inverse(multiply(multiply(multiply(inverse(X_25),X_25),inverse(multiply(X_26,multiply(multiply(multiply(inverse(inverse(X_25)),inverse(X_25)),inverse(multiply(inverse(multiply(X_27,inverse(inverse(X_25)))),multiply(X_27,X_26)))),X_24)))),X_25)))),multiply(X_15,C)) = multiply(inverse(multiply(X_15,X_24)),multiply(X_15,C)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_15,inverse(multiply(multiply(multiply(inverse(X_25),X_25),inverse(multiply(X_26,multiply(multiply(multiply(inverse(inverse(X_25)),inverse(X_25)),inverse(multiply(inverse(multiply(X_27,inverse(inverse(X_25)))),multiply(X_27,X_26)))),X_24)))),X_25)))),multiply(X_15,C)),multiply(inverse(multiply(X_15,inverse(multiply(multiply(multiply(inverse(X_25),X_25),inverse(multiply(X_26,multiply(multiply(multiply(inverse(inverse(X_25)),inverse(X_25)),inverse(multiply(inverse(multiply(X_27,inverse(inverse(X_25)))),multiply(X_27,X_26)))),X_24)))),X_25)))),multiply(X_15,C))) ),[1,0],$fot(inverse(multiply(X_15,X_24)))]]) ).
cnf(refute_0_141,plain,
( inverse(multiply(X_15,inverse(multiply(multiply(multiply(inverse(X_25),X_25),inverse(multiply(X_26,multiply(multiply(multiply(inverse(inverse(X_25)),inverse(X_25)),inverse(multiply(inverse(multiply(X_27,inverse(inverse(X_25)))),multiply(X_27,X_26)))),X_24)))),X_25)))) != inverse(multiply(X_15,X_24))
| multiply(inverse(multiply(X_15,inverse(multiply(multiply(multiply(inverse(X_25),X_25),inverse(multiply(X_26,multiply(multiply(multiply(inverse(inverse(X_25)),inverse(X_25)),inverse(multiply(inverse(multiply(X_27,inverse(inverse(X_25)))),multiply(X_27,X_26)))),X_24)))),X_25)))),multiply(X_15,C)) = multiply(inverse(multiply(X_15,X_24)),multiply(X_15,C)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_15,inverse(multiply(multiply(multiply(inverse(X_25),X_25),inverse(multiply(X_26,multiply(multiply(multiply(inverse(inverse(X_25)),inverse(X_25)),inverse(multiply(inverse(multiply(X_27,inverse(inverse(X_25)))),multiply(X_27,X_26)))),X_24)))),X_25)))),multiply(X_15,C)),multiply(inverse(multiply(X_15,inverse(multiply(multiply(multiply(inverse(X_25),X_25),inverse(multiply(X_26,multiply(multiply(multiply(inverse(inverse(X_25)),inverse(X_25)),inverse(multiply(inverse(multiply(X_27,inverse(inverse(X_25)))),multiply(X_27,X_26)))),X_24)))),X_25)))),multiply(X_15,C))) )],[refute_0_139,refute_0_140]) ).
cnf(refute_0_142,plain,
multiply(inverse(multiply(X_15,inverse(multiply(multiply(multiply(inverse(X_25),X_25),inverse(multiply(X_26,multiply(multiply(multiply(inverse(inverse(X_25)),inverse(X_25)),inverse(multiply(inverse(multiply(X_27,inverse(inverse(X_25)))),multiply(X_27,X_26)))),X_24)))),X_25)))),multiply(X_15,C)) = multiply(inverse(multiply(X_15,X_24)),multiply(X_15,C)),
inference(resolve,[$cnf( $equal(inverse(multiply(X_15,inverse(multiply(multiply(multiply(inverse(X_25),X_25),inverse(multiply(X_26,multiply(multiply(multiply(inverse(inverse(X_25)),inverse(X_25)),inverse(multiply(inverse(multiply(X_27,inverse(inverse(X_25)))),multiply(X_27,X_26)))),X_24)))),X_25)))),inverse(multiply(X_15,X_24))) )],[refute_0_138,refute_0_141]) ).
cnf(refute_0_143,plain,
( multiply(inverse(multiply(X_15,inverse(multiply(multiply(multiply(inverse(X_25),X_25),inverse(multiply(X_26,multiply(multiply(multiply(inverse(inverse(X_25)),inverse(X_25)),inverse(multiply(inverse(multiply(X_27,inverse(inverse(X_25)))),multiply(X_27,X_26)))),X_24)))),X_25)))),multiply(X_15,C)) != multiply(inverse(multiply(X_15,X_24)),multiply(X_15,C))
| multiply(inverse(multiply(X_15,inverse(multiply(multiply(multiply(inverse(X_25),X_25),inverse(multiply(X_26,multiply(multiply(multiply(inverse(inverse(X_25)),inverse(X_25)),inverse(multiply(inverse(multiply(X_27,inverse(inverse(X_25)))),multiply(X_27,X_26)))),X_24)))),X_25)))),multiply(X_15,C)) != multiply(inverse(multiply(X_3,X_24)),multiply(X_3,C))
| multiply(inverse(multiply(X_15,X_24)),multiply(X_15,C)) = multiply(inverse(multiply(X_3,X_24)),multiply(X_3,C)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_15,inverse(multiply(multiply(multiply(inverse(X_25),X_25),inverse(multiply(X_26,multiply(multiply(multiply(inverse(inverse(X_25)),inverse(X_25)),inverse(multiply(inverse(multiply(X_27,inverse(inverse(X_25)))),multiply(X_27,X_26)))),X_24)))),X_25)))),multiply(X_15,C)),multiply(inverse(multiply(X_3,X_24)),multiply(X_3,C))) ),[0],$fot(multiply(inverse(multiply(X_15,X_24)),multiply(X_15,C)))]]) ).
cnf(refute_0_144,plain,
( multiply(inverse(multiply(X_15,inverse(multiply(multiply(multiply(inverse(X_25),X_25),inverse(multiply(X_26,multiply(multiply(multiply(inverse(inverse(X_25)),inverse(X_25)),inverse(multiply(inverse(multiply(X_27,inverse(inverse(X_25)))),multiply(X_27,X_26)))),X_24)))),X_25)))),multiply(X_15,C)) != multiply(inverse(multiply(X_3,X_24)),multiply(X_3,C))
| multiply(inverse(multiply(X_15,X_24)),multiply(X_15,C)) = multiply(inverse(multiply(X_3,X_24)),multiply(X_3,C)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_15,inverse(multiply(multiply(multiply(inverse(X_25),X_25),inverse(multiply(X_26,multiply(multiply(multiply(inverse(inverse(X_25)),inverse(X_25)),inverse(multiply(inverse(multiply(X_27,inverse(inverse(X_25)))),multiply(X_27,X_26)))),X_24)))),X_25)))),multiply(X_15,C)),multiply(inverse(multiply(X_15,X_24)),multiply(X_15,C))) )],[refute_0_142,refute_0_143]) ).
cnf(refute_0_145,plain,
multiply(inverse(multiply(X_15,X_24)),multiply(X_15,C)) = multiply(inverse(multiply(X_3,X_24)),multiply(X_3,C)),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_15,inverse(multiply(multiply(multiply(inverse(X_25),X_25),inverse(multiply(X_26,multiply(multiply(multiply(inverse(inverse(X_25)),inverse(X_25)),inverse(multiply(inverse(multiply(X_27,inverse(inverse(X_25)))),multiply(X_27,X_26)))),X_24)))),X_25)))),multiply(X_15,C)),multiply(inverse(multiply(X_3,X_24)),multiply(X_3,C))) )],[refute_0_130,refute_0_144]) ).
cnf(refute_0_146,plain,
multiply(inverse(multiply(multiply(C,multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_107))),multiply(multiply(C,multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_105))) = multiply(inverse(multiply(X_3,inverse(X_107))),multiply(X_3,inverse(X_105))),
inference(subst,[],[refute_0_145:[bind(C,$fot(inverse(X_105))),bind(X_15,$fot(multiply(C,multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)))),bind(X_24,$fot(inverse(X_107)))]]) ).
cnf(refute_0_147,plain,
multiply(inverse(multiply(multiply(multiply(inverse(X_30),X_30),inverse(multiply(inverse(multiply(X_3,inverse(X_30))),multiply(X_3,C)))),X_30)),multiply(multiply(multiply(inverse(X_30),X_30),inverse(multiply(inverse(multiply(X_3,inverse(X_30))),multiply(X_3,C)))),X_28)) = multiply(inverse(multiply(X_31,X_30)),multiply(X_31,X_28)),
inference(subst,[],[refute_0_145:[bind(C,$fot(X_28)),bind(X_15,$fot(multiply(multiply(inverse(X_30),X_30),inverse(multiply(inverse(multiply(X_3,inverse(X_30))),multiply(X_3,C)))))),bind(X_24,$fot(X_30)),bind(X_3,$fot(X_31))]]) ).
cnf(refute_0_148,plain,
inverse(multiply(multiply(multiply(inverse(X_30),X_30),inverse(multiply(inverse(multiply(X_3,inverse(X_30))),multiply(X_3,C)))),X_30)) = C,
inference(subst,[],[refute_0_98:[bind(X_1,$fot(X_30))]]) ).
cnf(refute_0_149,plain,
( multiply(inverse(multiply(multiply(multiply(inverse(X_30),X_30),inverse(multiply(inverse(multiply(X_3,inverse(X_30))),multiply(X_3,C)))),X_30)),multiply(multiply(multiply(inverse(X_30),X_30),inverse(multiply(inverse(multiply(X_3,inverse(X_30))),multiply(X_3,C)))),X_28)) != multiply(inverse(multiply(X_31,X_30)),multiply(X_31,X_28))
| inverse(multiply(multiply(multiply(inverse(X_30),X_30),inverse(multiply(inverse(multiply(X_3,inverse(X_30))),multiply(X_3,C)))),X_30)) != C
| multiply(C,multiply(multiply(multiply(inverse(X_30),X_30),inverse(multiply(inverse(multiply(X_3,inverse(X_30))),multiply(X_3,C)))),X_28)) = multiply(inverse(multiply(X_31,X_30)),multiply(X_31,X_28)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(multiply(multiply(inverse(X_30),X_30),inverse(multiply(inverse(multiply(X_3,inverse(X_30))),multiply(X_3,C)))),X_30)),multiply(multiply(multiply(inverse(X_30),X_30),inverse(multiply(inverse(multiply(X_3,inverse(X_30))),multiply(X_3,C)))),X_28)),multiply(inverse(multiply(X_31,X_30)),multiply(X_31,X_28))) ),[0,0],$fot(C)]]) ).
cnf(refute_0_150,plain,
( multiply(inverse(multiply(multiply(multiply(inverse(X_30),X_30),inverse(multiply(inverse(multiply(X_3,inverse(X_30))),multiply(X_3,C)))),X_30)),multiply(multiply(multiply(inverse(X_30),X_30),inverse(multiply(inverse(multiply(X_3,inverse(X_30))),multiply(X_3,C)))),X_28)) != multiply(inverse(multiply(X_31,X_30)),multiply(X_31,X_28))
| multiply(C,multiply(multiply(multiply(inverse(X_30),X_30),inverse(multiply(inverse(multiply(X_3,inverse(X_30))),multiply(X_3,C)))),X_28)) = multiply(inverse(multiply(X_31,X_30)),multiply(X_31,X_28)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(multiply(inverse(X_30),X_30),inverse(multiply(inverse(multiply(X_3,inverse(X_30))),multiply(X_3,C)))),X_30)),C) )],[refute_0_148,refute_0_149]) ).
cnf(refute_0_151,plain,
multiply(C,multiply(multiply(multiply(inverse(X_30),X_30),inverse(multiply(inverse(multiply(X_3,inverse(X_30))),multiply(X_3,C)))),X_28)) = multiply(inverse(multiply(X_31,X_30)),multiply(X_31,X_28)),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(multiply(multiply(inverse(X_30),X_30),inverse(multiply(inverse(multiply(X_3,inverse(X_30))),multiply(X_3,C)))),X_30)),multiply(multiply(multiply(inverse(X_30),X_30),inverse(multiply(inverse(multiply(X_3,inverse(X_30))),multiply(X_3,C)))),X_28)),multiply(inverse(multiply(X_31,X_30)),multiply(X_31,X_28))) )],[refute_0_147,refute_0_150]) ).
cnf(refute_0_152,plain,
( multiply(C,multiply(multiply(multiply(inverse(X_30),X_30),inverse(multiply(inverse(multiply(X_3,inverse(X_30))),multiply(X_3,C)))),X_28)) != multiply(inverse(multiply(X_31,X_30)),multiply(X_31,X_28))
| multiply(inverse(multiply(X_31,X_30)),multiply(X_31,X_28)) = multiply(C,multiply(multiply(multiply(inverse(X_30),X_30),inverse(multiply(inverse(multiply(X_3,inverse(X_30))),multiply(X_3,C)))),X_28)) ),
inference(subst,[],[refute_0_9:[bind(X,$fot(multiply(C,multiply(multiply(multiply(inverse(X_30),X_30),inverse(multiply(inverse(multiply(X_3,inverse(X_30))),multiply(X_3,C)))),X_28)))),bind(Y,$fot(multiply(inverse(multiply(X_31,X_30)),multiply(X_31,X_28))))]]) ).
cnf(refute_0_153,plain,
multiply(inverse(multiply(X_31,X_30)),multiply(X_31,X_28)) = multiply(C,multiply(multiply(multiply(inverse(X_30),X_30),inverse(multiply(inverse(multiply(X_3,inverse(X_30))),multiply(X_3,C)))),X_28)),
inference(resolve,[$cnf( $equal(multiply(C,multiply(multiply(multiply(inverse(X_30),X_30),inverse(multiply(inverse(multiply(X_3,inverse(X_30))),multiply(X_3,C)))),X_28)),multiply(inverse(multiply(X_31,X_30)),multiply(X_31,X_28))) )],[refute_0_151,refute_0_152]) ).
cnf(refute_0_154,plain,
multiply(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)) = multiply(C,multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),
inference(subst,[],[refute_0_153:[bind(X_28,$fot(X_1)),bind(X_30,$fot(X_1)),bind(X_31,$fot(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C))))))]]) ).
cnf(refute_0_155,plain,
multiply(multiply(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_105)) = multiply(multiply(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_105)),
introduced(tautology,[refl,[$fot(multiply(multiply(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_105)))]]) ).
cnf(refute_0_156,plain,
( multiply(multiply(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_105)) != multiply(multiply(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_105))
| multiply(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)) != multiply(C,multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1))
| multiply(multiply(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_105)) = multiply(multiply(C,multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_105)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_105)),multiply(multiply(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_105))) ),[1,0],$fot(multiply(C,multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)))]]) ).
cnf(refute_0_157,plain,
( multiply(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)) != multiply(C,multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1))
| multiply(multiply(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_105)) = multiply(multiply(C,multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_105)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_105)),multiply(multiply(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_105))) )],[refute_0_155,refute_0_156]) ).
cnf(refute_0_158,plain,
multiply(multiply(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_105)) = multiply(multiply(C,multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_105)),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),multiply(C,multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1))) )],[refute_0_154,refute_0_157]) ).
cnf(refute_0_159,plain,
multiply(inverse(multiply(multiply(C,multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_107))),multiply(multiply(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_105))) = multiply(inverse(multiply(multiply(C,multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_107))),multiply(multiply(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_105))),
introduced(tautology,[refl,[$fot(multiply(inverse(multiply(multiply(C,multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_107))),multiply(multiply(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_105))))]]) ).
cnf(refute_0_160,plain,
( multiply(multiply(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_105)) != multiply(multiply(C,multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_105))
| multiply(inverse(multiply(multiply(C,multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_107))),multiply(multiply(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_105))) != multiply(inverse(multiply(multiply(C,multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_107))),multiply(multiply(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_105)))
| multiply(inverse(multiply(multiply(C,multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_107))),multiply(multiply(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_105))) = multiply(inverse(multiply(multiply(C,multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_107))),multiply(multiply(C,multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_105))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(multiply(C,multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_107))),multiply(multiply(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_105))),multiply(inverse(multiply(multiply(C,multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_107))),multiply(multiply(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_105)))) ),[1,1],$fot(multiply(multiply(C,multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_105)))]]) ).
cnf(refute_0_161,plain,
( multiply(multiply(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_105)) != multiply(multiply(C,multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_105))
| multiply(inverse(multiply(multiply(C,multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_107))),multiply(multiply(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_105))) = multiply(inverse(multiply(multiply(C,multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_107))),multiply(multiply(C,multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_105))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(multiply(C,multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_107))),multiply(multiply(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_105))),multiply(inverse(multiply(multiply(C,multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_107))),multiply(multiply(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_105)))) )],[refute_0_159,refute_0_160]) ).
cnf(refute_0_162,plain,
multiply(inverse(multiply(multiply(C,multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_107))),multiply(multiply(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_105))) = multiply(inverse(multiply(multiply(C,multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_107))),multiply(multiply(C,multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_105))),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_105)),multiply(multiply(C,multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_105))) )],[refute_0_158,refute_0_161]) ).
cnf(refute_0_163,plain,
( multiply(inverse(multiply(multiply(C,multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_107))),multiply(multiply(C,multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_105))) != multiply(inverse(multiply(X_3,inverse(X_107))),multiply(X_3,inverse(X_105)))
| multiply(inverse(multiply(multiply(C,multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_107))),multiply(multiply(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_105))) != multiply(inverse(multiply(multiply(C,multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_107))),multiply(multiply(C,multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_105)))
| multiply(inverse(multiply(multiply(C,multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_107))),multiply(multiply(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_105))) = multiply(inverse(multiply(X_3,inverse(X_107))),multiply(X_3,inverse(X_105))) ),
inference(subst,[],[refute_0_60:[bind(X,$fot(multiply(inverse(multiply(multiply(C,multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_107))),multiply(multiply(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_105))))),bind(Y,$fot(multiply(inverse(multiply(multiply(C,multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_107))),multiply(multiply(C,multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_105))))),bind(Z,$fot(multiply(inverse(multiply(X_3,inverse(X_107))),multiply(X_3,inverse(X_105)))))]]) ).
cnf(refute_0_164,plain,
( multiply(inverse(multiply(multiply(C,multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_107))),multiply(multiply(C,multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_105))) != multiply(inverse(multiply(X_3,inverse(X_107))),multiply(X_3,inverse(X_105)))
| multiply(inverse(multiply(multiply(C,multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_107))),multiply(multiply(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_105))) = multiply(inverse(multiply(X_3,inverse(X_107))),multiply(X_3,inverse(X_105))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(multiply(C,multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_107))),multiply(multiply(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_105))),multiply(inverse(multiply(multiply(C,multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_107))),multiply(multiply(C,multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_105)))) )],[refute_0_162,refute_0_163]) ).
cnf(refute_0_165,plain,
multiply(inverse(multiply(multiply(C,multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_107))),multiply(multiply(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_105))) = multiply(inverse(multiply(X_3,inverse(X_107))),multiply(X_3,inverse(X_105))),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(multiply(C,multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_107))),multiply(multiply(C,multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_105))),multiply(inverse(multiply(X_3,inverse(X_107))),multiply(X_3,inverse(X_105)))) )],[refute_0_146,refute_0_164]) ).
cnf(refute_0_166,plain,
inverse(multiply(inverse(multiply(multiply(C,multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_107))),multiply(multiply(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_105)))) = inverse(multiply(inverse(multiply(multiply(C,multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_107))),multiply(multiply(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_105)))),
introduced(tautology,[refl,[$fot(inverse(multiply(inverse(multiply(multiply(C,multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_107))),multiply(multiply(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_105)))))]]) ).
cnf(refute_0_167,plain,
( multiply(inverse(multiply(multiply(C,multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_107))),multiply(multiply(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_105))) != multiply(inverse(multiply(X_3,inverse(X_107))),multiply(X_3,inverse(X_105)))
| inverse(multiply(inverse(multiply(multiply(C,multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_107))),multiply(multiply(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_105)))) != inverse(multiply(inverse(multiply(multiply(C,multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_107))),multiply(multiply(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_105))))
| inverse(multiply(inverse(multiply(multiply(C,multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_107))),multiply(multiply(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_105)))) = inverse(multiply(inverse(multiply(X_3,inverse(X_107))),multiply(X_3,inverse(X_105)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(inverse(multiply(multiply(C,multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_107))),multiply(multiply(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_105)))),inverse(multiply(inverse(multiply(multiply(C,multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_107))),multiply(multiply(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_105))))) ),[1,0],$fot(multiply(inverse(multiply(X_3,inverse(X_107))),multiply(X_3,inverse(X_105))))]]) ).
cnf(refute_0_168,plain,
( multiply(inverse(multiply(multiply(C,multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_107))),multiply(multiply(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_105))) != multiply(inverse(multiply(X_3,inverse(X_107))),multiply(X_3,inverse(X_105)))
| inverse(multiply(inverse(multiply(multiply(C,multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_107))),multiply(multiply(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_105)))) = inverse(multiply(inverse(multiply(X_3,inverse(X_107))),multiply(X_3,inverse(X_105)))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(multiply(multiply(C,multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_107))),multiply(multiply(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_105)))),inverse(multiply(inverse(multiply(multiply(C,multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_107))),multiply(multiply(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_105))))) )],[refute_0_166,refute_0_167]) ).
cnf(refute_0_169,plain,
inverse(multiply(inverse(multiply(multiply(C,multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_107))),multiply(multiply(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_105)))) = inverse(multiply(inverse(multiply(X_3,inverse(X_107))),multiply(X_3,inverse(X_105)))),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(multiply(C,multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_107))),multiply(multiply(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_105))),multiply(inverse(multiply(X_3,inverse(X_107))),multiply(X_3,inverse(X_105)))) )],[refute_0_165,refute_0_168]) ).
cnf(refute_0_170,plain,
multiply(multiply(inverse(X_107),X_107),inverse(multiply(inverse(multiply(multiply(C,multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_107))),multiply(multiply(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_105))))) = multiply(multiply(inverse(X_107),X_107),inverse(multiply(inverse(multiply(multiply(C,multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_107))),multiply(multiply(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_105))))),
introduced(tautology,[refl,[$fot(multiply(multiply(inverse(X_107),X_107),inverse(multiply(inverse(multiply(multiply(C,multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_107))),multiply(multiply(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_105))))))]]) ).
cnf(refute_0_171,plain,
( multiply(multiply(inverse(X_107),X_107),inverse(multiply(inverse(multiply(multiply(C,multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_107))),multiply(multiply(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_105))))) != multiply(multiply(inverse(X_107),X_107),inverse(multiply(inverse(multiply(multiply(C,multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_107))),multiply(multiply(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_105)))))
| inverse(multiply(inverse(multiply(multiply(C,multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_107))),multiply(multiply(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_105)))) != inverse(multiply(inverse(multiply(X_3,inverse(X_107))),multiply(X_3,inverse(X_105))))
| multiply(multiply(inverse(X_107),X_107),inverse(multiply(inverse(multiply(multiply(C,multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_107))),multiply(multiply(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_105))))) = multiply(multiply(inverse(X_107),X_107),inverse(multiply(inverse(multiply(X_3,inverse(X_107))),multiply(X_3,inverse(X_105))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(X_107),X_107),inverse(multiply(inverse(multiply(multiply(C,multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_107))),multiply(multiply(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_105))))),multiply(multiply(inverse(X_107),X_107),inverse(multiply(inverse(multiply(multiply(C,multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_107))),multiply(multiply(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_105)))))) ),[1,1],$fot(inverse(multiply(inverse(multiply(X_3,inverse(X_107))),multiply(X_3,inverse(X_105)))))]]) ).
cnf(refute_0_172,plain,
( inverse(multiply(inverse(multiply(multiply(C,multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_107))),multiply(multiply(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_105)))) != inverse(multiply(inverse(multiply(X_3,inverse(X_107))),multiply(X_3,inverse(X_105))))
| multiply(multiply(inverse(X_107),X_107),inverse(multiply(inverse(multiply(multiply(C,multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_107))),multiply(multiply(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_105))))) = multiply(multiply(inverse(X_107),X_107),inverse(multiply(inverse(multiply(X_3,inverse(X_107))),multiply(X_3,inverse(X_105))))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_107),X_107),inverse(multiply(inverse(multiply(multiply(C,multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_107))),multiply(multiply(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_105))))),multiply(multiply(inverse(X_107),X_107),inverse(multiply(inverse(multiply(multiply(C,multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_107))),multiply(multiply(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_105)))))) )],[refute_0_170,refute_0_171]) ).
cnf(refute_0_173,plain,
multiply(multiply(inverse(X_107),X_107),inverse(multiply(inverse(multiply(multiply(C,multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_107))),multiply(multiply(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_105))))) = multiply(multiply(inverse(X_107),X_107),inverse(multiply(inverse(multiply(X_3,inverse(X_107))),multiply(X_3,inverse(X_105))))),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(multiply(multiply(C,multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_107))),multiply(multiply(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_105)))),inverse(multiply(inverse(multiply(X_3,inverse(X_107))),multiply(X_3,inverse(X_105))))) )],[refute_0_169,refute_0_172]) ).
cnf(refute_0_174,plain,
multiply(multiply(multiply(inverse(X_107),X_107),inverse(multiply(inverse(multiply(multiply(C,multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_107))),multiply(multiply(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_105))))),X_107) = multiply(multiply(multiply(inverse(X_107),X_107),inverse(multiply(inverse(multiply(multiply(C,multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_107))),multiply(multiply(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_105))))),X_107),
introduced(tautology,[refl,[$fot(multiply(multiply(multiply(inverse(X_107),X_107),inverse(multiply(inverse(multiply(multiply(C,multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_107))),multiply(multiply(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_105))))),X_107))]]) ).
cnf(refute_0_175,plain,
( multiply(multiply(multiply(inverse(X_107),X_107),inverse(multiply(inverse(multiply(multiply(C,multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_107))),multiply(multiply(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_105))))),X_107) != multiply(multiply(multiply(inverse(X_107),X_107),inverse(multiply(inverse(multiply(multiply(C,multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_107))),multiply(multiply(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_105))))),X_107)
| multiply(multiply(inverse(X_107),X_107),inverse(multiply(inverse(multiply(multiply(C,multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_107))),multiply(multiply(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_105))))) != multiply(multiply(inverse(X_107),X_107),inverse(multiply(inverse(multiply(X_3,inverse(X_107))),multiply(X_3,inverse(X_105)))))
| multiply(multiply(multiply(inverse(X_107),X_107),inverse(multiply(inverse(multiply(multiply(C,multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_107))),multiply(multiply(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_105))))),X_107) = multiply(multiply(multiply(inverse(X_107),X_107),inverse(multiply(inverse(multiply(X_3,inverse(X_107))),multiply(X_3,inverse(X_105))))),X_107) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(multiply(inverse(X_107),X_107),inverse(multiply(inverse(multiply(multiply(C,multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_107))),multiply(multiply(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_105))))),X_107),multiply(multiply(multiply(inverse(X_107),X_107),inverse(multiply(inverse(multiply(multiply(C,multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_107))),multiply(multiply(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_105))))),X_107)) ),[1,0],$fot(multiply(multiply(inverse(X_107),X_107),inverse(multiply(inverse(multiply(X_3,inverse(X_107))),multiply(X_3,inverse(X_105))))))]]) ).
cnf(refute_0_176,plain,
( multiply(multiply(inverse(X_107),X_107),inverse(multiply(inverse(multiply(multiply(C,multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_107))),multiply(multiply(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_105))))) != multiply(multiply(inverse(X_107),X_107),inverse(multiply(inverse(multiply(X_3,inverse(X_107))),multiply(X_3,inverse(X_105)))))
| multiply(multiply(multiply(inverse(X_107),X_107),inverse(multiply(inverse(multiply(multiply(C,multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_107))),multiply(multiply(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_105))))),X_107) = multiply(multiply(multiply(inverse(X_107),X_107),inverse(multiply(inverse(multiply(X_3,inverse(X_107))),multiply(X_3,inverse(X_105))))),X_107) ),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(inverse(X_107),X_107),inverse(multiply(inverse(multiply(multiply(C,multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_107))),multiply(multiply(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_105))))),X_107),multiply(multiply(multiply(inverse(X_107),X_107),inverse(multiply(inverse(multiply(multiply(C,multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_107))),multiply(multiply(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_105))))),X_107)) )],[refute_0_174,refute_0_175]) ).
cnf(refute_0_177,plain,
multiply(multiply(multiply(inverse(X_107),X_107),inverse(multiply(inverse(multiply(multiply(C,multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_107))),multiply(multiply(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_105))))),X_107) = multiply(multiply(multiply(inverse(X_107),X_107),inverse(multiply(inverse(multiply(X_3,inverse(X_107))),multiply(X_3,inverse(X_105))))),X_107),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_107),X_107),inverse(multiply(inverse(multiply(multiply(C,multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_107))),multiply(multiply(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_105))))),multiply(multiply(inverse(X_107),X_107),inverse(multiply(inverse(multiply(X_3,inverse(X_107))),multiply(X_3,inverse(X_105)))))) )],[refute_0_173,refute_0_176]) ).
cnf(refute_0_178,plain,
( multiply(multiply(multiply(inverse(X_107),X_107),inverse(multiply(inverse(multiply(multiply(C,multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_107))),multiply(multiply(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_105))))),X_107) != X_105
| multiply(multiply(multiply(inverse(X_107),X_107),inverse(multiply(inverse(multiply(multiply(C,multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_107))),multiply(multiply(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_105))))),X_107) != multiply(multiply(multiply(inverse(X_107),X_107),inverse(multiply(inverse(multiply(X_3,inverse(X_107))),multiply(X_3,inverse(X_105))))),X_107)
| multiply(multiply(multiply(inverse(X_107),X_107),inverse(multiply(inverse(multiply(X_3,inverse(X_107))),multiply(X_3,inverse(X_105))))),X_107) = X_105 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(multiply(inverse(X_107),X_107),inverse(multiply(inverse(multiply(multiply(C,multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_107))),multiply(multiply(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_105))))),X_107),X_105) ),[0],$fot(multiply(multiply(multiply(inverse(X_107),X_107),inverse(multiply(inverse(multiply(X_3,inverse(X_107))),multiply(X_3,inverse(X_105))))),X_107))]]) ).
cnf(refute_0_179,plain,
( multiply(multiply(multiply(inverse(X_107),X_107),inverse(multiply(inverse(multiply(multiply(C,multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_107))),multiply(multiply(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_105))))),X_107) != X_105
| multiply(multiply(multiply(inverse(X_107),X_107),inverse(multiply(inverse(multiply(X_3,inverse(X_107))),multiply(X_3,inverse(X_105))))),X_107) = X_105 ),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(inverse(X_107),X_107),inverse(multiply(inverse(multiply(multiply(C,multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_107))),multiply(multiply(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_105))))),X_107),multiply(multiply(multiply(inverse(X_107),X_107),inverse(multiply(inverse(multiply(X_3,inverse(X_107))),multiply(X_3,inverse(X_105))))),X_107)) )],[refute_0_177,refute_0_178]) ).
cnf(refute_0_180,plain,
multiply(multiply(multiply(inverse(X_107),X_107),inverse(multiply(inverse(multiply(X_3,inverse(X_107))),multiply(X_3,inverse(X_105))))),X_107) = X_105,
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(inverse(X_107),X_107),inverse(multiply(inverse(multiply(multiply(C,multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_107))),multiply(multiply(inverse(multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),multiply(multiply(multiply(inverse(X_1),X_1),inverse(multiply(inverse(multiply(X_3,inverse(X_1))),multiply(X_3,C)))),X_1)),inverse(X_105))))),X_107),X_105) )],[refute_0_120,refute_0_179]) ).
cnf(refute_0_181,plain,
multiply(multiply(multiply(inverse(B),B),inverse(multiply(inverse(multiply(multiply(inverse(X_14),X_14),inverse(B))),multiply(multiply(inverse(X_14),X_14),inverse(multiply(inverse(X_109),X_109)))))),B) = multiply(inverse(X_109),X_109),
inference(subst,[],[refute_0_180:[bind(X_105,$fot(multiply(inverse(X_109),X_109))),bind(X_107,$fot(B)),bind(X_3,$fot(multiply(inverse(X_14),X_14)))]]) ).
cnf(refute_0_182,plain,
( multiply(multiply(multiply(inverse(B),B),inverse(multiply(inverse(multiply(multiply(inverse(X_14),X_14),inverse(B))),multiply(multiply(inverse(X_14),X_14),inverse(multiply(inverse(X_109),X_109)))))),B) != multiply(inverse(X_109),X_109)
| multiply(inverse(multiply(X_15,inverse(X_14))),multiply(X_15,inverse(X_14))) != multiply(multiply(multiply(inverse(B),B),inverse(multiply(inverse(multiply(multiply(inverse(X_14),X_14),inverse(B))),multiply(multiply(inverse(X_14),X_14),inverse(multiply(inverse(X_109),X_109)))))),B)
| multiply(inverse(multiply(X_15,inverse(X_14))),multiply(X_15,inverse(X_14))) = multiply(inverse(X_109),X_109) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_15,inverse(X_14))),multiply(X_15,inverse(X_14))),multiply(multiply(multiply(inverse(B),B),inverse(multiply(inverse(multiply(multiply(inverse(X_14),X_14),inverse(B))),multiply(multiply(inverse(X_14),X_14),inverse(multiply(inverse(X_109),X_109)))))),B)) ),[1],$fot(multiply(inverse(X_109),X_109))]]) ).
cnf(refute_0_183,plain,
( multiply(inverse(multiply(X_15,inverse(X_14))),multiply(X_15,inverse(X_14))) != multiply(multiply(multiply(inverse(B),B),inverse(multiply(inverse(multiply(multiply(inverse(X_14),X_14),inverse(B))),multiply(multiply(inverse(X_14),X_14),inverse(multiply(inverse(X_109),X_109)))))),B)
| multiply(inverse(multiply(X_15,inverse(X_14))),multiply(X_15,inverse(X_14))) = multiply(inverse(X_109),X_109) ),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(inverse(B),B),inverse(multiply(inverse(multiply(multiply(inverse(X_14),X_14),inverse(B))),multiply(multiply(inverse(X_14),X_14),inverse(multiply(inverse(X_109),X_109)))))),B),multiply(inverse(X_109),X_109)) )],[refute_0_181,refute_0_182]) ).
cnf(refute_0_184,plain,
multiply(inverse(multiply(X_15,inverse(X_14))),multiply(X_15,inverse(X_14))) = multiply(inverse(X_109),X_109),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_15,inverse(X_14))),multiply(X_15,inverse(X_14))),multiply(multiply(multiply(inverse(B),B),inverse(multiply(inverse(multiply(multiply(inverse(X_14),X_14),inverse(B))),multiply(multiply(inverse(X_14),X_14),inverse(multiply(inverse(X_109),X_109)))))),B)) )],[refute_0_116,refute_0_183]) ).
cnf(refute_0_185,plain,
multiply(inverse(multiply(X_15,inverse(X_14))),multiply(X_15,inverse(X_14))) = multiply(inverse(X_110),X_110),
inference(subst,[],[refute_0_184:[bind(X_109,$fot(X_110))]]) ).
cnf(refute_0_186,plain,
( multiply(inverse(multiply(X_15,inverse(X_14))),multiply(X_15,inverse(X_14))) != multiply(inverse(X_109),X_109)
| multiply(inverse(multiply(X_15,inverse(X_14))),multiply(X_15,inverse(X_14))) != multiply(inverse(X_110),X_110)
| multiply(inverse(X_110),X_110) = multiply(inverse(X_109),X_109) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_15,inverse(X_14))),multiply(X_15,inverse(X_14))),multiply(inverse(X_109),X_109)) ),[0],$fot(multiply(inverse(X_110),X_110))]]) ).
cnf(refute_0_187,plain,
( multiply(inverse(multiply(X_15,inverse(X_14))),multiply(X_15,inverse(X_14))) != multiply(inverse(X_109),X_109)
| multiply(inverse(X_110),X_110) = multiply(inverse(X_109),X_109) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_15,inverse(X_14))),multiply(X_15,inverse(X_14))),multiply(inverse(X_110),X_110)) )],[refute_0_185,refute_0_186]) ).
cnf(refute_0_188,plain,
multiply(inverse(X_110),X_110) = multiply(inverse(X_109),X_109),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_15,inverse(X_14))),multiply(X_15,inverse(X_14))),multiply(inverse(X_109),X_109)) )],[refute_0_184,refute_0_187]) ).
cnf(refute_0_189,plain,
multiply(inverse(a1),a1) = multiply(inverse(X_113),X_113),
inference(subst,[],[refute_0_188:[bind(X_109,$fot(X_113)),bind(X_110,$fot(a1))]]) ).
cnf(refute_0_190,plain,
( multiply(inverse(X_113),X_113) != multiply(inverse(b1),b1)
| multiply(inverse(a1),a1) != multiply(inverse(X_113),X_113)
| multiply(inverse(a1),a1) = multiply(inverse(b1),b1) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(a1),a1),multiply(inverse(X_113),X_113)) ),[1],$fot(multiply(inverse(b1),b1))]]) ).
cnf(refute_0_191,plain,
( multiply(inverse(X_113),X_113) != multiply(inverse(b1),b1)
| multiply(inverse(a1),a1) = multiply(inverse(b1),b1) ),
inference(resolve,[$cnf( $equal(multiply(inverse(a1),a1),multiply(inverse(X_113),X_113)) )],[refute_0_189,refute_0_190]) ).
cnf(refute_0_192,plain,
multiply(inverse(X_113),X_113) != multiply(inverse(b1),b1),
inference(resolve,[$cnf( $equal(multiply(inverse(a1),a1),multiply(inverse(b1),b1)) )],[refute_0_191,prove_these_axioms_1]) ).
cnf(refute_0_193,plain,
( multiply(inverse(X_110),X_110) != multiply(inverse(X_109),X_109)
| multiply(inverse(X_109),X_109) = multiply(inverse(X_110),X_110) ),
inference(subst,[],[refute_0_9:[bind(X,$fot(multiply(inverse(X_110),X_110))),bind(Y,$fot(multiply(inverse(X_109),X_109)))]]) ).
cnf(refute_0_194,plain,
multiply(inverse(X_109),X_109) = multiply(inverse(X_110),X_110),
inference(resolve,[$cnf( $equal(multiply(inverse(X_110),X_110),multiply(inverse(X_109),X_109)) )],[refute_0_188,refute_0_193]) ).
cnf(refute_0_195,plain,
multiply(inverse(X_113),X_113) = multiply(inverse(b1),b1),
inference(subst,[],[refute_0_194:[bind(X_109,$fot(X_113)),bind(X_110,$fot(b1))]]) ).
cnf(refute_0_196,plain,
$false,
inference(resolve,[$cnf( $equal(multiply(inverse(X_113),X_113),multiply(inverse(b1),b1)) )],[refute_0_195,refute_0_192]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : GRP412-1 : TPTP v8.1.0. Released v2.6.0.
% 0.08/0.14 % Command : metis --show proof --show saturation %s
% 0.14/0.36 % Computer : n019.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Tue Jun 14 06:25:54 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.14/0.37 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 74.06/74.23 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 74.06/74.23
% 74.06/74.23 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 74.14/74.32
%------------------------------------------------------------------------------