TSTP Solution File: GRP421-1 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : GRP421-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n022.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 10:39:01 EDT 2022
% Result : Unsatisfiable 79.41s 79.61s
% Output : CNFRefutation 79.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 47
% Syntax : Number of clauses : 151 ( 77 unt; 0 nHn; 70 RR)
% Number of literals : 259 ( 258 equ; 110 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 : 586 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(B),multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C))) = B ).
cnf(prove_these_axioms_1,negated_conjecture,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1) ).
cnf(refute_0_0,plain,
inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C))) = multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2)),
inference(subst,[],[single_axiom:[bind(B,$fot(multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))))]]) ).
cnf(refute_0_1,plain,
inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))) = X_1,
inference(subst,[],[single_axiom:[bind(A,$fot(X_0)),bind(B,$fot(X_1)),bind(C,$fot(X_2))]]) ).
cnf(refute_0_2,plain,
( inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C))) != multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))
| inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))) != X_1
| inverse(multiply(inverse(multiply(A,inverse(multiply(X_1,multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C))) = multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C))),multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))) ),[0,0,0,0,1,0,0],$fot(X_1)]]) ).
cnf(refute_0_3,plain,
( inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C))) != multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))
| inverse(multiply(inverse(multiply(A,inverse(multiply(X_1,multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C))) = multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),X_1) )],[refute_0_1,refute_0_2]) ).
cnf(refute_0_4,plain,
inverse(multiply(inverse(multiply(A,inverse(multiply(X_1,multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C))) = multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2)),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C))),multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))) )],[refute_0_0,refute_0_3]) ).
cnf(refute_0_5,plain,
inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(X_114),X_114)),multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C))) = multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(multiply(inverse(X_114),X_114))),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2)),
inference(subst,[],[refute_0_4:[bind(X_1,$fot(inverse(multiply(inverse(X_114),X_114))))]]) ).
cnf(refute_0_6,plain,
inverse(multiply(inverse(multiply(inverse(X_18),inverse(multiply(inverse(X_19),multiply(inverse(inverse(multiply(inverse(X_18),X_18))),inverse(multiply(inverse(inverse(multiply(inverse(X_18),X_18))),inverse(multiply(inverse(X_18),X_18))))))))),multiply(inverse(X_18),inverse(multiply(inverse(X_18),X_18))))) = multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_19)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2)),
inference(subst,[],[refute_0_4:[bind(A,$fot(inverse(X_18))),bind(C,$fot(inverse(multiply(inverse(X_18),X_18)))),bind(X_1,$fot(inverse(X_19)))]]) ).
cnf(refute_0_7,plain,
inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(X_1),multiply(inverse(inverse(multiply(inverse(C),C))),inverse(multiply(inverse(inverse(multiply(inverse(C),C))),inverse(multiply(inverse(C),C))))))))),multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C))) = multiply(inverse(C),inverse(multiply(inverse(X_1),multiply(inverse(inverse(multiply(inverse(C),C))),inverse(multiply(inverse(inverse(multiply(inverse(C),C))),inverse(multiply(inverse(C),C)))))))),
inference(subst,[],[single_axiom:[bind(B,$fot(multiply(inverse(C),inverse(multiply(inverse(X_1),multiply(inverse(inverse(multiply(inverse(C),C))),inverse(multiply(inverse(inverse(multiply(inverse(C),C))),inverse(multiply(inverse(C),C))))))))))]]) ).
cnf(refute_0_8,plain,
inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(X_1),multiply(inverse(inverse(multiply(inverse(C),C))),inverse(multiply(inverse(inverse(multiply(inverse(C),C))),inverse(multiply(inverse(C),C))))))))),multiply(inverse(C),inverse(multiply(inverse(C),C))))) = X_1,
inference(subst,[],[single_axiom:[bind(A,$fot(inverse(C))),bind(B,$fot(X_1)),bind(C,$fot(inverse(multiply(inverse(C),C))))]]) ).
cnf(refute_0_9,plain,
( inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(X_1),multiply(inverse(inverse(multiply(inverse(C),C))),inverse(multiply(inverse(inverse(multiply(inverse(C),C))),inverse(multiply(inverse(C),C))))))))),multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C))) != multiply(inverse(C),inverse(multiply(inverse(X_1),multiply(inverse(inverse(multiply(inverse(C),C))),inverse(multiply(inverse(inverse(multiply(inverse(C),C))),inverse(multiply(inverse(C),C))))))))
| inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(X_1),multiply(inverse(inverse(multiply(inverse(C),C))),inverse(multiply(inverse(inverse(multiply(inverse(C),C))),inverse(multiply(inverse(C),C))))))))),multiply(inverse(C),inverse(multiply(inverse(C),C))))) != X_1
| inverse(multiply(inverse(multiply(A,X_1)),multiply(A,C))) = multiply(inverse(C),inverse(multiply(inverse(X_1),multiply(inverse(inverse(multiply(inverse(C),C))),inverse(multiply(inverse(inverse(multiply(inverse(C),C))),inverse(multiply(inverse(C),C)))))))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(X_1),multiply(inverse(inverse(multiply(inverse(C),C))),inverse(multiply(inverse(inverse(multiply(inverse(C),C))),inverse(multiply(inverse(C),C))))))))),multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C))),multiply(inverse(C),inverse(multiply(inverse(X_1),multiply(inverse(inverse(multiply(inverse(C),C))),inverse(multiply(inverse(inverse(multiply(inverse(C),C))),inverse(multiply(inverse(C),C))))))))) ),[0,0,0,0,1],$fot(X_1)]]) ).
cnf(refute_0_10,plain,
( inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(X_1),multiply(inverse(inverse(multiply(inverse(C),C))),inverse(multiply(inverse(inverse(multiply(inverse(C),C))),inverse(multiply(inverse(C),C))))))))),multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C))) != multiply(inverse(C),inverse(multiply(inverse(X_1),multiply(inverse(inverse(multiply(inverse(C),C))),inverse(multiply(inverse(inverse(multiply(inverse(C),C))),inverse(multiply(inverse(C),C))))))))
| inverse(multiply(inverse(multiply(A,X_1)),multiply(A,C))) = multiply(inverse(C),inverse(multiply(inverse(X_1),multiply(inverse(inverse(multiply(inverse(C),C))),inverse(multiply(inverse(inverse(multiply(inverse(C),C))),inverse(multiply(inverse(C),C)))))))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(X_1),multiply(inverse(inverse(multiply(inverse(C),C))),inverse(multiply(inverse(inverse(multiply(inverse(C),C))),inverse(multiply(inverse(C),C))))))))),multiply(inverse(C),inverse(multiply(inverse(C),C))))),X_1) )],[refute_0_8,refute_0_9]) ).
cnf(refute_0_11,plain,
inverse(multiply(inverse(multiply(A,X_1)),multiply(A,C))) = multiply(inverse(C),inverse(multiply(inverse(X_1),multiply(inverse(inverse(multiply(inverse(C),C))),inverse(multiply(inverse(inverse(multiply(inverse(C),C))),inverse(multiply(inverse(C),C)))))))),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(C),inverse(multiply(inverse(X_1),multiply(inverse(inverse(multiply(inverse(C),C))),inverse(multiply(inverse(inverse(multiply(inverse(C),C))),inverse(multiply(inverse(C),C))))))))),multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C))),multiply(inverse(C),inverse(multiply(inverse(X_1),multiply(inverse(inverse(multiply(inverse(C),C))),inverse(multiply(inverse(inverse(multiply(inverse(C),C))),inverse(multiply(inverse(C),C))))))))) )],[refute_0_7,refute_0_10]) ).
cnf(refute_0_12,plain,
inverse(multiply(inverse(multiply(X_17,X_19)),multiply(X_17,X_18))) = multiply(inverse(X_18),inverse(multiply(inverse(X_19),multiply(inverse(inverse(multiply(inverse(X_18),X_18))),inverse(multiply(inverse(inverse(multiply(inverse(X_18),X_18))),inverse(multiply(inverse(X_18),X_18)))))))),
inference(subst,[],[refute_0_11:[bind(A,$fot(X_17)),bind(C,$fot(X_18)),bind(X_1,$fot(X_19))]]) ).
cnf(refute_0_13,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_14,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_15,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_13,refute_0_14]) ).
cnf(refute_0_16,plain,
( inverse(multiply(inverse(multiply(X_17,X_19)),multiply(X_17,X_18))) != multiply(inverse(X_18),inverse(multiply(inverse(X_19),multiply(inverse(inverse(multiply(inverse(X_18),X_18))),inverse(multiply(inverse(inverse(multiply(inverse(X_18),X_18))),inverse(multiply(inverse(X_18),X_18))))))))
| multiply(inverse(X_18),inverse(multiply(inverse(X_19),multiply(inverse(inverse(multiply(inverse(X_18),X_18))),inverse(multiply(inverse(inverse(multiply(inverse(X_18),X_18))),inverse(multiply(inverse(X_18),X_18)))))))) = inverse(multiply(inverse(multiply(X_17,X_19)),multiply(X_17,X_18))) ),
inference(subst,[],[refute_0_15:[bind(X,$fot(inverse(multiply(inverse(multiply(X_17,X_19)),multiply(X_17,X_18))))),bind(Y,$fot(multiply(inverse(X_18),inverse(multiply(inverse(X_19),multiply(inverse(inverse(multiply(inverse(X_18),X_18))),inverse(multiply(inverse(inverse(multiply(inverse(X_18),X_18))),inverse(multiply(inverse(X_18),X_18))))))))))]]) ).
cnf(refute_0_17,plain,
multiply(inverse(X_18),inverse(multiply(inverse(X_19),multiply(inverse(inverse(multiply(inverse(X_18),X_18))),inverse(multiply(inverse(inverse(multiply(inverse(X_18),X_18))),inverse(multiply(inverse(X_18),X_18)))))))) = inverse(multiply(inverse(multiply(X_17,X_19)),multiply(X_17,X_18))),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(multiply(X_17,X_19)),multiply(X_17,X_18))),multiply(inverse(X_18),inverse(multiply(inverse(X_19),multiply(inverse(inverse(multiply(inverse(X_18),X_18))),inverse(multiply(inverse(inverse(multiply(inverse(X_18),X_18))),inverse(multiply(inverse(X_18),X_18))))))))) )],[refute_0_12,refute_0_16]) ).
cnf(refute_0_18,plain,
( multiply(inverse(X_18),inverse(multiply(inverse(X_19),multiply(inverse(inverse(multiply(inverse(X_18),X_18))),inverse(multiply(inverse(inverse(multiply(inverse(X_18),X_18))),inverse(multiply(inverse(X_18),X_18)))))))) != inverse(multiply(inverse(multiply(X_17,X_19)),multiply(X_17,X_18)))
| inverse(multiply(inverse(multiply(inverse(X_18),inverse(multiply(inverse(X_19),multiply(inverse(inverse(multiply(inverse(X_18),X_18))),inverse(multiply(inverse(inverse(multiply(inverse(X_18),X_18))),inverse(multiply(inverse(X_18),X_18))))))))),multiply(inverse(X_18),inverse(multiply(inverse(X_18),X_18))))) != multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_19)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))
| inverse(multiply(inverse(inverse(multiply(inverse(multiply(X_17,X_19)),multiply(X_17,X_18)))),multiply(inverse(X_18),inverse(multiply(inverse(X_18),X_18))))) = multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_19)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(inverse(multiply(inverse(X_18),inverse(multiply(inverse(X_19),multiply(inverse(inverse(multiply(inverse(X_18),X_18))),inverse(multiply(inverse(inverse(multiply(inverse(X_18),X_18))),inverse(multiply(inverse(X_18),X_18))))))))),multiply(inverse(X_18),inverse(multiply(inverse(X_18),X_18))))),multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_19)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))) ),[0,0,0,0],$fot(inverse(multiply(inverse(multiply(X_17,X_19)),multiply(X_17,X_18))))]]) ).
cnf(refute_0_19,plain,
( inverse(multiply(inverse(multiply(inverse(X_18),inverse(multiply(inverse(X_19),multiply(inverse(inverse(multiply(inverse(X_18),X_18))),inverse(multiply(inverse(inverse(multiply(inverse(X_18),X_18))),inverse(multiply(inverse(X_18),X_18))))))))),multiply(inverse(X_18),inverse(multiply(inverse(X_18),X_18))))) != multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_19)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))
| inverse(multiply(inverse(inverse(multiply(inverse(multiply(X_17,X_19)),multiply(X_17,X_18)))),multiply(inverse(X_18),inverse(multiply(inverse(X_18),X_18))))) = multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_19)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_18),inverse(multiply(inverse(X_19),multiply(inverse(inverse(multiply(inverse(X_18),X_18))),inverse(multiply(inverse(inverse(multiply(inverse(X_18),X_18))),inverse(multiply(inverse(X_18),X_18)))))))),inverse(multiply(inverse(multiply(X_17,X_19)),multiply(X_17,X_18)))) )],[refute_0_17,refute_0_18]) ).
cnf(refute_0_20,plain,
inverse(multiply(inverse(inverse(multiply(inverse(multiply(X_17,X_19)),multiply(X_17,X_18)))),multiply(inverse(X_18),inverse(multiply(inverse(X_18),X_18))))) = multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_19)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2)),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(multiply(inverse(X_18),inverse(multiply(inverse(X_19),multiply(inverse(inverse(multiply(inverse(X_18),X_18))),inverse(multiply(inverse(inverse(multiply(inverse(X_18),X_18))),inverse(multiply(inverse(X_18),X_18))))))))),multiply(inverse(X_18),inverse(multiply(inverse(X_18),X_18))))),multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_19)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))) )],[refute_0_6,refute_0_19]) ).
cnf(refute_0_21,plain,
inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(X_9),multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C))) = multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2)),
inference(subst,[],[refute_0_4:[bind(X_1,$fot(inverse(X_9)))]]) ).
cnf(refute_0_22,plain,
inverse(multiply(inverse(multiply(X_6,inverse(multiply(X_9,multiply(inverse(X_7),inverse(multiply(inverse(X_7),X_7))))))),multiply(X_6,X_7))) = multiply(inverse(multiply(A,inverse(multiply(inverse(X_9),multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C)),
inference(subst,[],[refute_0_4:[bind(A,$fot(X_6)),bind(C,$fot(X_7)),bind(X_0,$fot(A)),bind(X_1,$fot(X_9)),bind(X_2,$fot(C))]]) ).
cnf(refute_0_23,plain,
( inverse(multiply(inverse(multiply(X_6,inverse(multiply(X_9,multiply(inverse(X_7),inverse(multiply(inverse(X_7),X_7))))))),multiply(X_6,X_7))) != multiply(inverse(multiply(A,inverse(multiply(inverse(X_9),multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C))
| multiply(inverse(multiply(A,inverse(multiply(inverse(X_9),multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C)) = inverse(multiply(inverse(multiply(X_6,inverse(multiply(X_9,multiply(inverse(X_7),inverse(multiply(inverse(X_7),X_7))))))),multiply(X_6,X_7))) ),
inference(subst,[],[refute_0_15:[bind(X,$fot(inverse(multiply(inverse(multiply(X_6,inverse(multiply(X_9,multiply(inverse(X_7),inverse(multiply(inverse(X_7),X_7))))))),multiply(X_6,X_7))))),bind(Y,$fot(multiply(inverse(multiply(A,inverse(multiply(inverse(X_9),multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C))))]]) ).
cnf(refute_0_24,plain,
multiply(inverse(multiply(A,inverse(multiply(inverse(X_9),multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C)) = inverse(multiply(inverse(multiply(X_6,inverse(multiply(X_9,multiply(inverse(X_7),inverse(multiply(inverse(X_7),X_7))))))),multiply(X_6,X_7))),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(multiply(X_6,inverse(multiply(X_9,multiply(inverse(X_7),inverse(multiply(inverse(X_7),X_7))))))),multiply(X_6,X_7))),multiply(inverse(multiply(A,inverse(multiply(inverse(X_9),multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C))) )],[refute_0_22,refute_0_23]) ).
cnf(refute_0_25,plain,
( multiply(inverse(multiply(A,inverse(multiply(inverse(X_9),multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C)) != inverse(multiply(inverse(multiply(X_6,inverse(multiply(X_9,multiply(inverse(X_7),inverse(multiply(inverse(X_7),X_7))))))),multiply(X_6,X_7)))
| inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(X_9),multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C))) != multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))
| inverse(inverse(multiply(inverse(multiply(X_6,inverse(multiply(X_9,multiply(inverse(X_7),inverse(multiply(inverse(X_7),X_7))))))),multiply(X_6,X_7)))) = multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(X_9),multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C))),multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))) ),[0,0],$fot(inverse(multiply(inverse(multiply(X_6,inverse(multiply(X_9,multiply(inverse(X_7),inverse(multiply(inverse(X_7),X_7))))))),multiply(X_6,X_7))))]]) ).
cnf(refute_0_26,plain,
( inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(X_9),multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C))) != multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))
| inverse(inverse(multiply(inverse(multiply(X_6,inverse(multiply(X_9,multiply(inverse(X_7),inverse(multiply(inverse(X_7),X_7))))))),multiply(X_6,X_7)))) = multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(A,inverse(multiply(inverse(X_9),multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C)),inverse(multiply(inverse(multiply(X_6,inverse(multiply(X_9,multiply(inverse(X_7),inverse(multiply(inverse(X_7),X_7))))))),multiply(X_6,X_7)))) )],[refute_0_24,refute_0_25]) ).
cnf(refute_0_27,plain,
inverse(inverse(multiply(inverse(multiply(X_6,inverse(multiply(X_9,multiply(inverse(X_7),inverse(multiply(inverse(X_7),X_7))))))),multiply(X_6,X_7)))) = multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2)),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(X_9),multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C))),multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))) )],[refute_0_21,refute_0_26]) ).
cnf(refute_0_28,plain,
( inverse(multiply(inverse(multiply(A,inverse(multiply(X_1,multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C))) != multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))
| multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2)) = inverse(multiply(inverse(multiply(A,inverse(multiply(X_1,multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C))) ),
inference(subst,[],[refute_0_15:[bind(X,$fot(inverse(multiply(inverse(multiply(A,inverse(multiply(X_1,multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C))))),bind(Y,$fot(multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))))]]) ).
cnf(refute_0_29,plain,
multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2)) = inverse(multiply(inverse(multiply(A,inverse(multiply(X_1,multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C))),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(multiply(A,inverse(multiply(X_1,multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C))),multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))) )],[refute_0_4,refute_0_28]) ).
cnf(refute_0_30,plain,
multiply(inverse(multiply(A,inverse(multiply(inverse(B),multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C)) = inverse(multiply(inverse(multiply(A,inverse(multiply(B,multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C))),
inference(subst,[],[refute_0_29:[bind(X_0,$fot(A)),bind(X_1,$fot(B)),bind(X_2,$fot(C))]]) ).
cnf(refute_0_31,plain,
inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(B),multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C))) = inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(B),multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C))),
introduced(tautology,[refl,[$fot(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(B),multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C))))]]) ).
cnf(refute_0_32,plain,
( multiply(inverse(multiply(A,inverse(multiply(inverse(B),multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C)) != inverse(multiply(inverse(multiply(A,inverse(multiply(B,multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C)))
| inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(B),multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C))) != inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(B),multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C)))
| inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(B),multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C))) = inverse(inverse(multiply(inverse(multiply(A,inverse(multiply(B,multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(B),multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C))),inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(B),multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C)))) ),[1,0],$fot(inverse(multiply(inverse(multiply(A,inverse(multiply(B,multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C))))]]) ).
cnf(refute_0_33,plain,
( multiply(inverse(multiply(A,inverse(multiply(inverse(B),multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C)) != inverse(multiply(inverse(multiply(A,inverse(multiply(B,multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C)))
| inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(B),multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C))) = inverse(inverse(multiply(inverse(multiply(A,inverse(multiply(B,multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C)))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(B),multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C))),inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(B),multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C)))) )],[refute_0_31,refute_0_32]) ).
cnf(refute_0_34,plain,
inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(B),multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C))) = inverse(inverse(multiply(inverse(multiply(A,inverse(multiply(B,multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C)))),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(A,inverse(multiply(inverse(B),multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C)),inverse(multiply(inverse(multiply(A,inverse(multiply(B,multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C)))) )],[refute_0_30,refute_0_33]) ).
cnf(refute_0_35,plain,
( inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(B),multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C))) != B
| inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(B),multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C))) != inverse(inverse(multiply(inverse(multiply(A,inverse(multiply(B,multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C))))
| inverse(inverse(multiply(inverse(multiply(A,inverse(multiply(B,multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C)))) = B ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(B),multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C))),B) ),[0],$fot(inverse(inverse(multiply(inverse(multiply(A,inverse(multiply(B,multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C)))))]]) ).
cnf(refute_0_36,plain,
( inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(B),multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C))) != B
| inverse(inverse(multiply(inverse(multiply(A,inverse(multiply(B,multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C)))) = B ),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(B),multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C))),inverse(inverse(multiply(inverse(multiply(A,inverse(multiply(B,multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C))))) )],[refute_0_34,refute_0_35]) ).
cnf(refute_0_37,plain,
inverse(inverse(multiply(inverse(multiply(A,inverse(multiply(B,multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C)))) = B,
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(B),multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C))),B) )],[single_axiom,refute_0_36]) ).
cnf(refute_0_38,plain,
inverse(inverse(multiply(inverse(multiply(X_6,inverse(multiply(X_9,multiply(inverse(X_7),inverse(multiply(inverse(X_7),X_7))))))),multiply(X_6,X_7)))) = X_9,
inference(subst,[],[refute_0_37:[bind(A,$fot(X_6)),bind(B,$fot(X_9)),bind(C,$fot(X_7))]]) ).
cnf(refute_0_39,plain,
( inverse(inverse(multiply(inverse(multiply(X_6,inverse(multiply(X_9,multiply(inverse(X_7),inverse(multiply(inverse(X_7),X_7))))))),multiply(X_6,X_7)))) != X_9
| inverse(inverse(multiply(inverse(multiply(X_6,inverse(multiply(X_9,multiply(inverse(X_7),inverse(multiply(inverse(X_7),X_7))))))),multiply(X_6,X_7)))) != multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))
| X_9 = multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(multiply(inverse(multiply(X_6,inverse(multiply(X_9,multiply(inverse(X_7),inverse(multiply(inverse(X_7),X_7))))))),multiply(X_6,X_7)))),multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))) ),[0],$fot(X_9)]]) ).
cnf(refute_0_40,plain,
( inverse(inverse(multiply(inverse(multiply(X_6,inverse(multiply(X_9,multiply(inverse(X_7),inverse(multiply(inverse(X_7),X_7))))))),multiply(X_6,X_7)))) != multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))
| X_9 = multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2)) ),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(inverse(multiply(X_6,inverse(multiply(X_9,multiply(inverse(X_7),inverse(multiply(inverse(X_7),X_7))))))),multiply(X_6,X_7)))),X_9) )],[refute_0_38,refute_0_39]) ).
cnf(refute_0_41,plain,
X_9 = multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2)),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(inverse(multiply(X_6,inverse(multiply(X_9,multiply(inverse(X_7),inverse(multiply(inverse(X_7),X_7))))))),multiply(X_6,X_7)))),multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))) )],[refute_0_27,refute_0_40]) ).
cnf(refute_0_42,plain,
( X_9 != multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))
| multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2)) = X_9 ),
inference(subst,[],[refute_0_15:[bind(X,$fot(X_9)),bind(Y,$fot(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))))]]) ).
cnf(refute_0_43,plain,
multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2)) = X_9,
inference(resolve,[$cnf( $equal(X_9,multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))) )],[refute_0_41,refute_0_42]) ).
cnf(refute_0_44,plain,
multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_19)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2)) = X_19,
inference(subst,[],[refute_0_43:[bind(X_9,$fot(X_19))]]) ).
cnf(refute_0_45,plain,
( multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_19)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2)) != X_19
| inverse(multiply(inverse(inverse(multiply(inverse(multiply(X_17,X_19)),multiply(X_17,X_18)))),multiply(inverse(X_18),inverse(multiply(inverse(X_18),X_18))))) != multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_19)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))
| inverse(multiply(inverse(inverse(multiply(inverse(multiply(X_17,X_19)),multiply(X_17,X_18)))),multiply(inverse(X_18),inverse(multiply(inverse(X_18),X_18))))) = X_19 ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(inverse(inverse(multiply(inverse(multiply(X_17,X_19)),multiply(X_17,X_18)))),multiply(inverse(X_18),inverse(multiply(inverse(X_18),X_18))))),multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_19)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))) ),[1],$fot(X_19)]]) ).
cnf(refute_0_46,plain,
( inverse(multiply(inverse(inverse(multiply(inverse(multiply(X_17,X_19)),multiply(X_17,X_18)))),multiply(inverse(X_18),inverse(multiply(inverse(X_18),X_18))))) != multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_19)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))
| inverse(multiply(inverse(inverse(multiply(inverse(multiply(X_17,X_19)),multiply(X_17,X_18)))),multiply(inverse(X_18),inverse(multiply(inverse(X_18),X_18))))) = X_19 ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_19)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2)),X_19) )],[refute_0_44,refute_0_45]) ).
cnf(refute_0_47,plain,
inverse(multiply(inverse(inverse(multiply(inverse(multiply(X_17,X_19)),multiply(X_17,X_18)))),multiply(inverse(X_18),inverse(multiply(inverse(X_18),X_18))))) = X_19,
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(inverse(multiply(inverse(multiply(X_17,X_19)),multiply(X_17,X_18)))),multiply(inverse(X_18),inverse(multiply(inverse(X_18),X_18))))),multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_19)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))) )],[refute_0_20,refute_0_46]) ).
cnf(refute_0_48,plain,
inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),X_21)))),multiply(inverse(X_21),inverse(multiply(inverse(X_21),X_21))))) = multiply(X_0,X_2),
inference(subst,[],[refute_0_47:[bind(X_17,$fot(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))))),bind(X_18,$fot(X_21)),bind(X_19,$fot(multiply(X_0,X_2)))]]) ).
cnf(refute_0_49,plain,
( multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2)) != inverse(multiply(inverse(multiply(A,inverse(multiply(X_1,multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C)))
| inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),X_21)))),multiply(inverse(X_21),inverse(multiply(inverse(X_21),X_21))))) != multiply(X_0,X_2)
| inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(multiply(A,inverse(multiply(X_1,multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C)))),multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),X_21)))),multiply(inverse(X_21),inverse(multiply(inverse(X_21),X_21))))) = multiply(X_0,X_2) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),X_21)))),multiply(inverse(X_21),inverse(multiply(inverse(X_21),X_21))))),multiply(X_0,X_2)) ),[0,0,0,0,0,0,0],$fot(inverse(multiply(inverse(multiply(A,inverse(multiply(X_1,multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C))))]]) ).
cnf(refute_0_50,plain,
( inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),X_21)))),multiply(inverse(X_21),inverse(multiply(inverse(X_21),X_21))))) != multiply(X_0,X_2)
| inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(multiply(A,inverse(multiply(X_1,multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C)))),multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),X_21)))),multiply(inverse(X_21),inverse(multiply(inverse(X_21),X_21))))) = multiply(X_0,X_2) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2)),inverse(multiply(inverse(multiply(A,inverse(multiply(X_1,multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C)))) )],[refute_0_29,refute_0_49]) ).
cnf(refute_0_51,plain,
inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(multiply(A,inverse(multiply(X_1,multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C)))),multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),X_21)))),multiply(inverse(X_21),inverse(multiply(inverse(X_21),X_21))))) = multiply(X_0,X_2),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),X_21)))),multiply(inverse(X_21),inverse(multiply(inverse(X_21),X_21))))),multiply(X_0,X_2)) )],[refute_0_48,refute_0_50]) ).
cnf(refute_0_52,plain,
inverse(inverse(multiply(inverse(multiply(A,inverse(multiply(X_1,multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C)))) = X_1,
inference(subst,[],[refute_0_37:[bind(B,$fot(X_1))]]) ).
cnf(refute_0_53,plain,
multiply(inverse(inverse(multiply(inverse(multiply(A,inverse(multiply(X_1,multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C)))),multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),X_21)) = multiply(inverse(inverse(multiply(inverse(multiply(A,inverse(multiply(X_1,multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C)))),multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),X_21)),
introduced(tautology,[refl,[$fot(multiply(inverse(inverse(multiply(inverse(multiply(A,inverse(multiply(X_1,multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C)))),multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),X_21)))]]) ).
cnf(refute_0_54,plain,
( multiply(inverse(inverse(multiply(inverse(multiply(A,inverse(multiply(X_1,multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C)))),multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),X_21)) != multiply(inverse(inverse(multiply(inverse(multiply(A,inverse(multiply(X_1,multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C)))),multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),X_21))
| inverse(inverse(multiply(inverse(multiply(A,inverse(multiply(X_1,multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C)))) != X_1
| multiply(inverse(inverse(multiply(inverse(multiply(A,inverse(multiply(X_1,multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C)))),multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),X_21)) = multiply(X_1,multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),X_21)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(multiply(inverse(multiply(A,inverse(multiply(X_1,multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C)))),multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),X_21)),multiply(inverse(inverse(multiply(inverse(multiply(A,inverse(multiply(X_1,multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C)))),multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),X_21))) ),[1,0],$fot(X_1)]]) ).
cnf(refute_0_55,plain,
( inverse(inverse(multiply(inverse(multiply(A,inverse(multiply(X_1,multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C)))) != X_1
| multiply(inverse(inverse(multiply(inverse(multiply(A,inverse(multiply(X_1,multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C)))),multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),X_21)) = multiply(X_1,multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),X_21)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(multiply(inverse(multiply(A,inverse(multiply(X_1,multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C)))),multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),X_21)),multiply(inverse(inverse(multiply(inverse(multiply(A,inverse(multiply(X_1,multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C)))),multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),X_21))) )],[refute_0_53,refute_0_54]) ).
cnf(refute_0_56,plain,
multiply(inverse(inverse(multiply(inverse(multiply(A,inverse(multiply(X_1,multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C)))),multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),X_21)) = multiply(X_1,multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),X_21)),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(inverse(multiply(A,inverse(multiply(X_1,multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C)))),X_1) )],[refute_0_52,refute_0_55]) ).
cnf(refute_0_57,plain,
inverse(multiply(inverse(inverse(multiply(inverse(multiply(A,inverse(multiply(X_1,multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C)))),multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),X_21))) = inverse(multiply(inverse(inverse(multiply(inverse(multiply(A,inverse(multiply(X_1,multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C)))),multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),X_21))),
introduced(tautology,[refl,[$fot(inverse(multiply(inverse(inverse(multiply(inverse(multiply(A,inverse(multiply(X_1,multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C)))),multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),X_21))))]]) ).
cnf(refute_0_58,plain,
( multiply(inverse(inverse(multiply(inverse(multiply(A,inverse(multiply(X_1,multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C)))),multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),X_21)) != multiply(X_1,multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),X_21))
| inverse(multiply(inverse(inverse(multiply(inverse(multiply(A,inverse(multiply(X_1,multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C)))),multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),X_21))) != inverse(multiply(inverse(inverse(multiply(inverse(multiply(A,inverse(multiply(X_1,multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C)))),multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),X_21)))
| inverse(multiply(inverse(inverse(multiply(inverse(multiply(A,inverse(multiply(X_1,multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C)))),multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),X_21))) = inverse(multiply(X_1,multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),X_21))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(inverse(inverse(multiply(inverse(multiply(A,inverse(multiply(X_1,multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C)))),multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),X_21))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(A,inverse(multiply(X_1,multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C)))),multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),X_21)))) ),[1,0],$fot(multiply(X_1,multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),X_21)))]]) ).
cnf(refute_0_59,plain,
( multiply(inverse(inverse(multiply(inverse(multiply(A,inverse(multiply(X_1,multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C)))),multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),X_21)) != multiply(X_1,multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),X_21))
| inverse(multiply(inverse(inverse(multiply(inverse(multiply(A,inverse(multiply(X_1,multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C)))),multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),X_21))) = inverse(multiply(X_1,multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),X_21))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(inverse(multiply(inverse(multiply(A,inverse(multiply(X_1,multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C)))),multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),X_21))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(A,inverse(multiply(X_1,multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C)))),multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),X_21)))) )],[refute_0_57,refute_0_58]) ).
cnf(refute_0_60,plain,
inverse(multiply(inverse(inverse(multiply(inverse(multiply(A,inverse(multiply(X_1,multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C)))),multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),X_21))) = inverse(multiply(X_1,multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),X_21))),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(multiply(inverse(multiply(A,inverse(multiply(X_1,multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C)))),multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),X_21)),multiply(X_1,multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),X_21))) )],[refute_0_56,refute_0_59]) ).
cnf(refute_0_61,plain,
inverse(inverse(multiply(inverse(inverse(multiply(inverse(multiply(A,inverse(multiply(X_1,multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C)))),multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),X_21)))) = inverse(inverse(multiply(inverse(inverse(multiply(inverse(multiply(A,inverse(multiply(X_1,multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C)))),multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),X_21)))),
introduced(tautology,[refl,[$fot(inverse(inverse(multiply(inverse(inverse(multiply(inverse(multiply(A,inverse(multiply(X_1,multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C)))),multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),X_21)))))]]) ).
cnf(refute_0_62,plain,
( inverse(multiply(inverse(inverse(multiply(inverse(multiply(A,inverse(multiply(X_1,multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C)))),multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),X_21))) != inverse(multiply(X_1,multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),X_21)))
| inverse(inverse(multiply(inverse(inverse(multiply(inverse(multiply(A,inverse(multiply(X_1,multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C)))),multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),X_21)))) != inverse(inverse(multiply(inverse(inverse(multiply(inverse(multiply(A,inverse(multiply(X_1,multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C)))),multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),X_21))))
| inverse(inverse(multiply(inverse(inverse(multiply(inverse(multiply(A,inverse(multiply(X_1,multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C)))),multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),X_21)))) = inverse(inverse(multiply(X_1,multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),X_21)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(multiply(inverse(inverse(multiply(inverse(multiply(A,inverse(multiply(X_1,multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C)))),multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),X_21)))),inverse(inverse(multiply(inverse(inverse(multiply(inverse(multiply(A,inverse(multiply(X_1,multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C)))),multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),X_21))))) ),[1,0],$fot(inverse(multiply(X_1,multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),X_21))))]]) ).
cnf(refute_0_63,plain,
( inverse(multiply(inverse(inverse(multiply(inverse(multiply(A,inverse(multiply(X_1,multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C)))),multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),X_21))) != inverse(multiply(X_1,multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),X_21)))
| inverse(inverse(multiply(inverse(inverse(multiply(inverse(multiply(A,inverse(multiply(X_1,multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C)))),multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),X_21)))) = inverse(inverse(multiply(X_1,multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),X_21)))) ),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(inverse(inverse(multiply(inverse(multiply(A,inverse(multiply(X_1,multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C)))),multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),X_21)))),inverse(inverse(multiply(inverse(inverse(multiply(inverse(multiply(A,inverse(multiply(X_1,multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C)))),multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),X_21))))) )],[refute_0_61,refute_0_62]) ).
cnf(refute_0_64,plain,
inverse(inverse(multiply(inverse(inverse(multiply(inverse(multiply(A,inverse(multiply(X_1,multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C)))),multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),X_21)))) = inverse(inverse(multiply(X_1,multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),X_21)))),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(inverse(multiply(inverse(multiply(A,inverse(multiply(X_1,multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C)))),multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),X_21))),inverse(multiply(X_1,multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),X_21)))) )],[refute_0_60,refute_0_63]) ).
cnf(refute_0_65,plain,
multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(multiply(A,inverse(multiply(X_1,multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C)))),multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),X_21)))),multiply(inverse(X_21),inverse(multiply(inverse(X_21),X_21)))) = multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(multiply(A,inverse(multiply(X_1,multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C)))),multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),X_21)))),multiply(inverse(X_21),inverse(multiply(inverse(X_21),X_21)))),
introduced(tautology,[refl,[$fot(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(multiply(A,inverse(multiply(X_1,multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C)))),multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),X_21)))),multiply(inverse(X_21),inverse(multiply(inverse(X_21),X_21)))))]]) ).
cnf(refute_0_66,plain,
( multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(multiply(A,inverse(multiply(X_1,multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C)))),multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),X_21)))),multiply(inverse(X_21),inverse(multiply(inverse(X_21),X_21)))) != multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(multiply(A,inverse(multiply(X_1,multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C)))),multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),X_21)))),multiply(inverse(X_21),inverse(multiply(inverse(X_21),X_21))))
| inverse(inverse(multiply(inverse(inverse(multiply(inverse(multiply(A,inverse(multiply(X_1,multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C)))),multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),X_21)))) != inverse(inverse(multiply(X_1,multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),X_21))))
| multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(multiply(A,inverse(multiply(X_1,multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C)))),multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),X_21)))),multiply(inverse(X_21),inverse(multiply(inverse(X_21),X_21)))) = multiply(inverse(inverse(multiply(X_1,multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),X_21)))),multiply(inverse(X_21),inverse(multiply(inverse(X_21),X_21)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(multiply(A,inverse(multiply(X_1,multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C)))),multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),X_21)))),multiply(inverse(X_21),inverse(multiply(inverse(X_21),X_21)))),multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(multiply(A,inverse(multiply(X_1,multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C)))),multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),X_21)))),multiply(inverse(X_21),inverse(multiply(inverse(X_21),X_21))))) ),[1,0],$fot(inverse(inverse(multiply(X_1,multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),X_21)))))]]) ).
cnf(refute_0_67,plain,
( inverse(inverse(multiply(inverse(inverse(multiply(inverse(multiply(A,inverse(multiply(X_1,multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C)))),multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),X_21)))) != inverse(inverse(multiply(X_1,multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),X_21))))
| multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(multiply(A,inverse(multiply(X_1,multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C)))),multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),X_21)))),multiply(inverse(X_21),inverse(multiply(inverse(X_21),X_21)))) = multiply(inverse(inverse(multiply(X_1,multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),X_21)))),multiply(inverse(X_21),inverse(multiply(inverse(X_21),X_21)))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(multiply(A,inverse(multiply(X_1,multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C)))),multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),X_21)))),multiply(inverse(X_21),inverse(multiply(inverse(X_21),X_21)))),multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(multiply(A,inverse(multiply(X_1,multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C)))),multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),X_21)))),multiply(inverse(X_21),inverse(multiply(inverse(X_21),X_21))))) )],[refute_0_65,refute_0_66]) ).
cnf(refute_0_68,plain,
multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(multiply(A,inverse(multiply(X_1,multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C)))),multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),X_21)))),multiply(inverse(X_21),inverse(multiply(inverse(X_21),X_21)))) = multiply(inverse(inverse(multiply(X_1,multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),X_21)))),multiply(inverse(X_21),inverse(multiply(inverse(X_21),X_21)))),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(inverse(inverse(multiply(inverse(multiply(A,inverse(multiply(X_1,multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C)))),multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),X_21)))),inverse(inverse(multiply(X_1,multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),X_21))))) )],[refute_0_64,refute_0_67]) ).
cnf(refute_0_69,plain,
inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(multiply(A,inverse(multiply(X_1,multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C)))),multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),X_21)))),multiply(inverse(X_21),inverse(multiply(inverse(X_21),X_21))))) = inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(multiply(A,inverse(multiply(X_1,multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C)))),multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),X_21)))),multiply(inverse(X_21),inverse(multiply(inverse(X_21),X_21))))),
introduced(tautology,[refl,[$fot(inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(multiply(A,inverse(multiply(X_1,multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C)))),multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),X_21)))),multiply(inverse(X_21),inverse(multiply(inverse(X_21),X_21))))))]]) ).
cnf(refute_0_70,plain,
( multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(multiply(A,inverse(multiply(X_1,multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C)))),multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),X_21)))),multiply(inverse(X_21),inverse(multiply(inverse(X_21),X_21)))) != multiply(inverse(inverse(multiply(X_1,multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),X_21)))),multiply(inverse(X_21),inverse(multiply(inverse(X_21),X_21))))
| inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(multiply(A,inverse(multiply(X_1,multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C)))),multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),X_21)))),multiply(inverse(X_21),inverse(multiply(inverse(X_21),X_21))))) != inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(multiply(A,inverse(multiply(X_1,multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C)))),multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),X_21)))),multiply(inverse(X_21),inverse(multiply(inverse(X_21),X_21)))))
| inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(multiply(A,inverse(multiply(X_1,multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C)))),multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),X_21)))),multiply(inverse(X_21),inverse(multiply(inverse(X_21),X_21))))) = inverse(multiply(inverse(inverse(multiply(X_1,multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),X_21)))),multiply(inverse(X_21),inverse(multiply(inverse(X_21),X_21))))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(multiply(A,inverse(multiply(X_1,multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C)))),multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),X_21)))),multiply(inverse(X_21),inverse(multiply(inverse(X_21),X_21))))),inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(multiply(A,inverse(multiply(X_1,multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C)))),multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),X_21)))),multiply(inverse(X_21),inverse(multiply(inverse(X_21),X_21)))))) ),[1,0],$fot(multiply(inverse(inverse(multiply(X_1,multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),X_21)))),multiply(inverse(X_21),inverse(multiply(inverse(X_21),X_21)))))]]) ).
cnf(refute_0_71,plain,
( multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(multiply(A,inverse(multiply(X_1,multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C)))),multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),X_21)))),multiply(inverse(X_21),inverse(multiply(inverse(X_21),X_21)))) != multiply(inverse(inverse(multiply(X_1,multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),X_21)))),multiply(inverse(X_21),inverse(multiply(inverse(X_21),X_21))))
| inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(multiply(A,inverse(multiply(X_1,multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C)))),multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),X_21)))),multiply(inverse(X_21),inverse(multiply(inverse(X_21),X_21))))) = inverse(multiply(inverse(inverse(multiply(X_1,multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),X_21)))),multiply(inverse(X_21),inverse(multiply(inverse(X_21),X_21))))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(multiply(A,inverse(multiply(X_1,multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C)))),multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),X_21)))),multiply(inverse(X_21),inverse(multiply(inverse(X_21),X_21))))),inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(multiply(A,inverse(multiply(X_1,multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C)))),multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),X_21)))),multiply(inverse(X_21),inverse(multiply(inverse(X_21),X_21)))))) )],[refute_0_69,refute_0_70]) ).
cnf(refute_0_72,plain,
inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(multiply(A,inverse(multiply(X_1,multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C)))),multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),X_21)))),multiply(inverse(X_21),inverse(multiply(inverse(X_21),X_21))))) = inverse(multiply(inverse(inverse(multiply(X_1,multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),X_21)))),multiply(inverse(X_21),inverse(multiply(inverse(X_21),X_21))))),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(multiply(A,inverse(multiply(X_1,multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C)))),multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),X_21)))),multiply(inverse(X_21),inverse(multiply(inverse(X_21),X_21)))),multiply(inverse(inverse(multiply(X_1,multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),X_21)))),multiply(inverse(X_21),inverse(multiply(inverse(X_21),X_21))))) )],[refute_0_68,refute_0_71]) ).
cnf(refute_0_73,plain,
( inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(multiply(A,inverse(multiply(X_1,multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C)))),multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),X_21)))),multiply(inverse(X_21),inverse(multiply(inverse(X_21),X_21))))) != multiply(X_0,X_2)
| inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(multiply(A,inverse(multiply(X_1,multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C)))),multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),X_21)))),multiply(inverse(X_21),inverse(multiply(inverse(X_21),X_21))))) != inverse(multiply(inverse(inverse(multiply(X_1,multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),X_21)))),multiply(inverse(X_21),inverse(multiply(inverse(X_21),X_21)))))
| inverse(multiply(inverse(inverse(multiply(X_1,multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),X_21)))),multiply(inverse(X_21),inverse(multiply(inverse(X_21),X_21))))) = multiply(X_0,X_2) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(multiply(A,inverse(multiply(X_1,multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C)))),multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),X_21)))),multiply(inverse(X_21),inverse(multiply(inverse(X_21),X_21))))),multiply(X_0,X_2)) ),[0],$fot(inverse(multiply(inverse(inverse(multiply(X_1,multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),X_21)))),multiply(inverse(X_21),inverse(multiply(inverse(X_21),X_21))))))]]) ).
cnf(refute_0_74,plain,
( inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(multiply(A,inverse(multiply(X_1,multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C)))),multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),X_21)))),multiply(inverse(X_21),inverse(multiply(inverse(X_21),X_21))))) != multiply(X_0,X_2)
| inverse(multiply(inverse(inverse(multiply(X_1,multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),X_21)))),multiply(inverse(X_21),inverse(multiply(inverse(X_21),X_21))))) = multiply(X_0,X_2) ),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(multiply(A,inverse(multiply(X_1,multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C)))),multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),X_21)))),multiply(inverse(X_21),inverse(multiply(inverse(X_21),X_21))))),inverse(multiply(inverse(inverse(multiply(X_1,multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),X_21)))),multiply(inverse(X_21),inverse(multiply(inverse(X_21),X_21)))))) )],[refute_0_72,refute_0_73]) ).
cnf(refute_0_75,plain,
inverse(multiply(inverse(inverse(multiply(X_1,multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),X_21)))),multiply(inverse(X_21),inverse(multiply(inverse(X_21),X_21))))) = multiply(X_0,X_2),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(multiply(A,inverse(multiply(X_1,multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C)))),multiply(inverse(multiply(X_0,inverse(multiply(inverse(X_1),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),X_21)))),multiply(inverse(X_21),inverse(multiply(inverse(X_21),X_21))))),multiply(X_0,X_2)) )],[refute_0_51,refute_0_74]) ).
cnf(refute_0_76,plain,
inverse(multiply(inverse(inverse(multiply(inverse(X_9),multiply(inverse(multiply(X_107,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_109),inverse(multiply(inverse(X_109),X_109))))))),multiply(X_107,X_109))))),multiply(inverse(multiply(X_107,X_109)),inverse(multiply(inverse(multiply(X_107,X_109)),multiply(X_107,X_109)))))) = multiply(X_107,X_109),
inference(subst,[],[refute_0_75:[bind(X_0,$fot(X_107)),bind(X_1,$fot(inverse(X_9))),bind(X_2,$fot(X_109)),bind(X_21,$fot(multiply(X_107,X_109)))]]) ).
cnf(refute_0_77,plain,
X_9 = multiply(inverse(multiply(X_107,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_109),inverse(multiply(inverse(X_109),X_109))))))),multiply(X_107,X_109)),
inference(subst,[],[refute_0_41:[bind(X_0,$fot(X_107)),bind(X_2,$fot(X_109))]]) ).
cnf(refute_0_78,plain,
( X_9 != multiply(inverse(multiply(X_107,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_109),inverse(multiply(inverse(X_109),X_109))))))),multiply(X_107,X_109))
| multiply(inverse(multiply(X_107,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_109),inverse(multiply(inverse(X_109),X_109))))))),multiply(X_107,X_109)) = X_9 ),
inference(subst,[],[refute_0_15:[bind(X,$fot(X_9)),bind(Y,$fot(multiply(inverse(multiply(X_107,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_109),inverse(multiply(inverse(X_109),X_109))))))),multiply(X_107,X_109))))]]) ).
cnf(refute_0_79,plain,
multiply(inverse(multiply(X_107,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_109),inverse(multiply(inverse(X_109),X_109))))))),multiply(X_107,X_109)) = X_9,
inference(resolve,[$cnf( $equal(X_9,multiply(inverse(multiply(X_107,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_109),inverse(multiply(inverse(X_109),X_109))))))),multiply(X_107,X_109))) )],[refute_0_77,refute_0_78]) ).
cnf(refute_0_80,plain,
( multiply(inverse(multiply(X_107,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_109),inverse(multiply(inverse(X_109),X_109))))))),multiply(X_107,X_109)) != X_9
| inverse(multiply(inverse(inverse(multiply(inverse(X_9),multiply(inverse(multiply(X_107,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_109),inverse(multiply(inverse(X_109),X_109))))))),multiply(X_107,X_109))))),multiply(inverse(multiply(X_107,X_109)),inverse(multiply(inverse(multiply(X_107,X_109)),multiply(X_107,X_109)))))) != multiply(X_107,X_109)
| inverse(multiply(inverse(inverse(multiply(inverse(X_9),X_9))),multiply(inverse(multiply(X_107,X_109)),inverse(multiply(inverse(multiply(X_107,X_109)),multiply(X_107,X_109)))))) = multiply(X_107,X_109) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(inverse(inverse(multiply(inverse(X_9),multiply(inverse(multiply(X_107,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_109),inverse(multiply(inverse(X_109),X_109))))))),multiply(X_107,X_109))))),multiply(inverse(multiply(X_107,X_109)),inverse(multiply(inverse(multiply(X_107,X_109)),multiply(X_107,X_109)))))),multiply(X_107,X_109)) ),[0,0,0,0,0,1],$fot(X_9)]]) ).
cnf(refute_0_81,plain,
( inverse(multiply(inverse(inverse(multiply(inverse(X_9),multiply(inverse(multiply(X_107,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_109),inverse(multiply(inverse(X_109),X_109))))))),multiply(X_107,X_109))))),multiply(inverse(multiply(X_107,X_109)),inverse(multiply(inverse(multiply(X_107,X_109)),multiply(X_107,X_109)))))) != multiply(X_107,X_109)
| inverse(multiply(inverse(inverse(multiply(inverse(X_9),X_9))),multiply(inverse(multiply(X_107,X_109)),inverse(multiply(inverse(multiply(X_107,X_109)),multiply(X_107,X_109)))))) = multiply(X_107,X_109) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_107,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_109),inverse(multiply(inverse(X_109),X_109))))))),multiply(X_107,X_109)),X_9) )],[refute_0_79,refute_0_80]) ).
cnf(refute_0_82,plain,
inverse(multiply(inverse(inverse(multiply(inverse(X_9),X_9))),multiply(inverse(multiply(X_107,X_109)),inverse(multiply(inverse(multiply(X_107,X_109)),multiply(X_107,X_109)))))) = multiply(X_107,X_109),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(inverse(multiply(inverse(X_9),multiply(inverse(multiply(X_107,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_109),inverse(multiply(inverse(X_109),X_109))))))),multiply(X_107,X_109))))),multiply(inverse(multiply(X_107,X_109)),inverse(multiply(inverse(multiply(X_107,X_109)),multiply(X_107,X_109)))))),multiply(X_107,X_109)) )],[refute_0_76,refute_0_81]) ).
cnf(refute_0_83,plain,
inverse(multiply(inverse(inverse(multiply(inverse(X_113),X_113))),multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),inverse(multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))))))) = multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2)),
inference(subst,[],[refute_0_82:[bind(X_107,$fot(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))))),bind(X_109,$fot(multiply(X_0,X_2))),bind(X_9,$fot(X_113))]]) ).
cnf(refute_0_84,plain,
( multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2)) != X_9
| inverse(multiply(inverse(inverse(multiply(inverse(X_113),X_113))),multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),inverse(multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))))))) != multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))
| inverse(multiply(inverse(inverse(multiply(inverse(X_113),X_113))),multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),inverse(multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),X_9))))) = multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(inverse(inverse(multiply(inverse(X_113),X_113))),multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),inverse(multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))))))),multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))) ),[0,0,1,1,0,1],$fot(X_9)]]) ).
cnf(refute_0_85,plain,
( inverse(multiply(inverse(inverse(multiply(inverse(X_113),X_113))),multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),inverse(multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))))))) != multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))
| inverse(multiply(inverse(inverse(multiply(inverse(X_113),X_113))),multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),inverse(multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),X_9))))) = multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2)),X_9) )],[refute_0_43,refute_0_84]) ).
cnf(refute_0_86,plain,
inverse(multiply(inverse(inverse(multiply(inverse(X_113),X_113))),multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),inverse(multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),X_9))))) = multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2)),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(inverse(multiply(inverse(X_113),X_113))),multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),inverse(multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))))))),multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))) )],[refute_0_83,refute_0_85]) ).
cnf(refute_0_87,plain,
inverse(multiply(inverse(multiply(A,inverse(multiply(B,multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C))) = multiply(inverse(multiply(X_8,inverse(multiply(inverse(B),multiply(inverse(X_10),inverse(multiply(inverse(X_10),X_10))))))),multiply(X_8,X_10)),
inference(subst,[],[refute_0_4:[bind(X_0,$fot(X_8)),bind(X_1,$fot(B)),bind(X_2,$fot(X_10))]]) ).
cnf(refute_0_88,plain,
( inverse(multiply(inverse(multiply(A,inverse(multiply(B,multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C))) != multiply(inverse(multiply(X_8,inverse(multiply(inverse(B),multiply(inverse(X_10),inverse(multiply(inverse(X_10),X_10))))))),multiply(X_8,X_10))
| inverse(inverse(multiply(inverse(multiply(A,inverse(multiply(B,multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C)))) != B
| inverse(multiply(inverse(multiply(X_8,inverse(multiply(inverse(B),multiply(inverse(X_10),inverse(multiply(inverse(X_10),X_10))))))),multiply(X_8,X_10))) = B ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(multiply(inverse(multiply(A,inverse(multiply(B,multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C)))),B) ),[0,0],$fot(multiply(inverse(multiply(X_8,inverse(multiply(inverse(B),multiply(inverse(X_10),inverse(multiply(inverse(X_10),X_10))))))),multiply(X_8,X_10)))]]) ).
cnf(refute_0_89,plain,
( inverse(inverse(multiply(inverse(multiply(A,inverse(multiply(B,multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C)))) != B
| inverse(multiply(inverse(multiply(X_8,inverse(multiply(inverse(B),multiply(inverse(X_10),inverse(multiply(inverse(X_10),X_10))))))),multiply(X_8,X_10))) = B ),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(multiply(A,inverse(multiply(B,multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C))),multiply(inverse(multiply(X_8,inverse(multiply(inverse(B),multiply(inverse(X_10),inverse(multiply(inverse(X_10),X_10))))))),multiply(X_8,X_10))) )],[refute_0_87,refute_0_88]) ).
cnf(refute_0_90,plain,
inverse(multiply(inverse(multiply(X_8,inverse(multiply(inverse(B),multiply(inverse(X_10),inverse(multiply(inverse(X_10),X_10))))))),multiply(X_8,X_10))) = B,
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(inverse(multiply(A,inverse(multiply(B,multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C)))),B) )],[refute_0_37,refute_0_89]) ).
cnf(refute_0_91,plain,
inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))) = inverse(X_9),
inference(subst,[],[refute_0_90:[bind(B,$fot(inverse(X_9))),bind(X_10,$fot(X_2)),bind(X_8,$fot(X_0))]]) ).
cnf(refute_0_92,plain,
multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),X_9) = multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),X_9),
introduced(tautology,[refl,[$fot(multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),X_9))]]) ).
cnf(refute_0_93,plain,
( multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),X_9) != multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),X_9)
| inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))) != inverse(X_9)
| multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),X_9) = multiply(inverse(X_9),X_9) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),X_9),multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),X_9)) ),[1,0],$fot(inverse(X_9))]]) ).
cnf(refute_0_94,plain,
( inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))) != inverse(X_9)
| multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),X_9) = multiply(inverse(X_9),X_9) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),X_9),multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),X_9)) )],[refute_0_92,refute_0_93]) ).
cnf(refute_0_95,plain,
multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),X_9) = multiply(inverse(X_9),X_9),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),inverse(X_9)) )],[refute_0_91,refute_0_94]) ).
cnf(refute_0_96,plain,
inverse(multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),X_9)) = inverse(multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),X_9)),
introduced(tautology,[refl,[$fot(inverse(multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),X_9)))]]) ).
cnf(refute_0_97,plain,
( multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),X_9) != multiply(inverse(X_9),X_9)
| inverse(multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),X_9)) != inverse(multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),X_9))
| inverse(multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),X_9)) = inverse(multiply(inverse(X_9),X_9)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),X_9)),inverse(multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),X_9))) ),[1,0],$fot(multiply(inverse(X_9),X_9))]]) ).
cnf(refute_0_98,plain,
( multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),X_9) != multiply(inverse(X_9),X_9)
| inverse(multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),X_9)) = inverse(multiply(inverse(X_9),X_9)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),X_9)),inverse(multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),X_9))) )],[refute_0_96,refute_0_97]) ).
cnf(refute_0_99,plain,
inverse(multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),X_9)) = inverse(multiply(inverse(X_9),X_9)),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),X_9),multiply(inverse(X_9),X_9)) )],[refute_0_95,refute_0_98]) ).
cnf(refute_0_100,plain,
multiply(inverse(X_9),inverse(multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),X_9))) = multiply(inverse(X_9),inverse(multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),X_9))),
introduced(tautology,[refl,[$fot(multiply(inverse(X_9),inverse(multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),X_9))))]]) ).
cnf(refute_0_101,plain,
( multiply(inverse(X_9),inverse(multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),X_9))) != multiply(inverse(X_9),inverse(multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),X_9)))
| inverse(multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),X_9)) != inverse(multiply(inverse(X_9),X_9))
| multiply(inverse(X_9),inverse(multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),X_9))) = multiply(inverse(X_9),inverse(multiply(inverse(X_9),X_9))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_9),inverse(multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),X_9))),multiply(inverse(X_9),inverse(multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),X_9)))) ),[1,1],$fot(inverse(multiply(inverse(X_9),X_9)))]]) ).
cnf(refute_0_102,plain,
( inverse(multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),X_9)) != inverse(multiply(inverse(X_9),X_9))
| multiply(inverse(X_9),inverse(multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),X_9))) = multiply(inverse(X_9),inverse(multiply(inverse(X_9),X_9))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_9),inverse(multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),X_9))),multiply(inverse(X_9),inverse(multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),X_9)))) )],[refute_0_100,refute_0_101]) ).
cnf(refute_0_103,plain,
multiply(inverse(X_9),inverse(multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),X_9))) = multiply(inverse(X_9),inverse(multiply(inverse(X_9),X_9))),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),X_9)),inverse(multiply(inverse(X_9),X_9))) )],[refute_0_99,refute_0_102]) ).
cnf(refute_0_104,plain,
multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),inverse(multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),X_9))) = multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),inverse(multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),X_9))),
introduced(tautology,[refl,[$fot(multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),inverse(multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),X_9))))]]) ).
cnf(refute_0_105,plain,
( multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),inverse(multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),X_9))) != multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),inverse(multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),X_9)))
| inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))) != inverse(X_9)
| multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),inverse(multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),X_9))) = multiply(inverse(X_9),inverse(multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),X_9))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),inverse(multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),X_9))),multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),inverse(multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),X_9)))) ),[1,0],$fot(inverse(X_9))]]) ).
cnf(refute_0_106,plain,
( inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))) != inverse(X_9)
| multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),inverse(multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),X_9))) = multiply(inverse(X_9),inverse(multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),X_9))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),inverse(multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),X_9))),multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),inverse(multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),X_9)))) )],[refute_0_104,refute_0_105]) ).
cnf(refute_0_107,plain,
multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),inverse(multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),X_9))) = multiply(inverse(X_9),inverse(multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),X_9))),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),inverse(X_9)) )],[refute_0_91,refute_0_106]) ).
cnf(refute_0_108,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_109,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_15,refute_0_108]) ).
cnf(refute_0_110,plain,
( multiply(inverse(X_9),inverse(multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),X_9))) != multiply(inverse(X_9),inverse(multiply(inverse(X_9),X_9)))
| multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),inverse(multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),X_9))) != multiply(inverse(X_9),inverse(multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),X_9)))
| multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),inverse(multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),X_9))) = multiply(inverse(X_9),inverse(multiply(inverse(X_9),X_9))) ),
inference(subst,[],[refute_0_109:[bind(X,$fot(multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),inverse(multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),X_9))))),bind(Y,$fot(multiply(inverse(X_9),inverse(multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),X_9))))),bind(Z,$fot(multiply(inverse(X_9),inverse(multiply(inverse(X_9),X_9)))))]]) ).
cnf(refute_0_111,plain,
( multiply(inverse(X_9),inverse(multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),X_9))) != multiply(inverse(X_9),inverse(multiply(inverse(X_9),X_9)))
| multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),inverse(multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),X_9))) = multiply(inverse(X_9),inverse(multiply(inverse(X_9),X_9))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),inverse(multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),X_9))),multiply(inverse(X_9),inverse(multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),X_9)))) )],[refute_0_107,refute_0_110]) ).
cnf(refute_0_112,plain,
multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),inverse(multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),X_9))) = multiply(inverse(X_9),inverse(multiply(inverse(X_9),X_9))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_9),inverse(multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),X_9))),multiply(inverse(X_9),inverse(multiply(inverse(X_9),X_9)))) )],[refute_0_103,refute_0_111]) ).
cnf(refute_0_113,plain,
multiply(inverse(inverse(multiply(inverse(X_113),X_113))),multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),inverse(multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),X_9)))) = multiply(inverse(inverse(multiply(inverse(X_113),X_113))),multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),inverse(multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),X_9)))),
introduced(tautology,[refl,[$fot(multiply(inverse(inverse(multiply(inverse(X_113),X_113))),multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),inverse(multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),X_9)))))]]) ).
cnf(refute_0_114,plain,
( multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),inverse(multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),X_9))) != multiply(inverse(X_9),inverse(multiply(inverse(X_9),X_9)))
| multiply(inverse(inverse(multiply(inverse(X_113),X_113))),multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),inverse(multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),X_9)))) != multiply(inverse(inverse(multiply(inverse(X_113),X_113))),multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),inverse(multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),X_9))))
| multiply(inverse(inverse(multiply(inverse(X_113),X_113))),multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),inverse(multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),X_9)))) = multiply(inverse(inverse(multiply(inverse(X_113),X_113))),multiply(inverse(X_9),inverse(multiply(inverse(X_9),X_9)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(multiply(inverse(X_113),X_113))),multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),inverse(multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),X_9)))),multiply(inverse(inverse(multiply(inverse(X_113),X_113))),multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),inverse(multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),X_9))))) ),[1,1],$fot(multiply(inverse(X_9),inverse(multiply(inverse(X_9),X_9))))]]) ).
cnf(refute_0_115,plain,
( multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),inverse(multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),X_9))) != multiply(inverse(X_9),inverse(multiply(inverse(X_9),X_9)))
| multiply(inverse(inverse(multiply(inverse(X_113),X_113))),multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),inverse(multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),X_9)))) = multiply(inverse(inverse(multiply(inverse(X_113),X_113))),multiply(inverse(X_9),inverse(multiply(inverse(X_9),X_9)))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(multiply(inverse(X_113),X_113))),multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),inverse(multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),X_9)))),multiply(inverse(inverse(multiply(inverse(X_113),X_113))),multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),inverse(multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),X_9))))) )],[refute_0_113,refute_0_114]) ).
cnf(refute_0_116,plain,
multiply(inverse(inverse(multiply(inverse(X_113),X_113))),multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),inverse(multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),X_9)))) = multiply(inverse(inverse(multiply(inverse(X_113),X_113))),multiply(inverse(X_9),inverse(multiply(inverse(X_9),X_9)))),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),inverse(multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),X_9))),multiply(inverse(X_9),inverse(multiply(inverse(X_9),X_9)))) )],[refute_0_112,refute_0_115]) ).
cnf(refute_0_117,plain,
inverse(multiply(inverse(inverse(multiply(inverse(X_113),X_113))),multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),inverse(multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),X_9))))) = inverse(multiply(inverse(inverse(multiply(inverse(X_113),X_113))),multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),inverse(multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),X_9))))),
introduced(tautology,[refl,[$fot(inverse(multiply(inverse(inverse(multiply(inverse(X_113),X_113))),multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),inverse(multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),X_9))))))]]) ).
cnf(refute_0_118,plain,
( multiply(inverse(inverse(multiply(inverse(X_113),X_113))),multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),inverse(multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),X_9)))) != multiply(inverse(inverse(multiply(inverse(X_113),X_113))),multiply(inverse(X_9),inverse(multiply(inverse(X_9),X_9))))
| inverse(multiply(inverse(inverse(multiply(inverse(X_113),X_113))),multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),inverse(multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),X_9))))) != inverse(multiply(inverse(inverse(multiply(inverse(X_113),X_113))),multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),inverse(multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),X_9)))))
| inverse(multiply(inverse(inverse(multiply(inverse(X_113),X_113))),multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),inverse(multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),X_9))))) = inverse(multiply(inverse(inverse(multiply(inverse(X_113),X_113))),multiply(inverse(X_9),inverse(multiply(inverse(X_9),X_9))))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(inverse(inverse(multiply(inverse(X_113),X_113))),multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),inverse(multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),X_9))))),inverse(multiply(inverse(inverse(multiply(inverse(X_113),X_113))),multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),inverse(multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),X_9)))))) ),[1,0],$fot(multiply(inverse(inverse(multiply(inverse(X_113),X_113))),multiply(inverse(X_9),inverse(multiply(inverse(X_9),X_9)))))]]) ).
cnf(refute_0_119,plain,
( multiply(inverse(inverse(multiply(inverse(X_113),X_113))),multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),inverse(multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),X_9)))) != multiply(inverse(inverse(multiply(inverse(X_113),X_113))),multiply(inverse(X_9),inverse(multiply(inverse(X_9),X_9))))
| inverse(multiply(inverse(inverse(multiply(inverse(X_113),X_113))),multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),inverse(multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),X_9))))) = inverse(multiply(inverse(inverse(multiply(inverse(X_113),X_113))),multiply(inverse(X_9),inverse(multiply(inverse(X_9),X_9))))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(inverse(multiply(inverse(X_113),X_113))),multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),inverse(multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),X_9))))),inverse(multiply(inverse(inverse(multiply(inverse(X_113),X_113))),multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),inverse(multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),X_9)))))) )],[refute_0_117,refute_0_118]) ).
cnf(refute_0_120,plain,
inverse(multiply(inverse(inverse(multiply(inverse(X_113),X_113))),multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),inverse(multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),X_9))))) = inverse(multiply(inverse(inverse(multiply(inverse(X_113),X_113))),multiply(inverse(X_9),inverse(multiply(inverse(X_9),X_9))))),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(multiply(inverse(X_113),X_113))),multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),inverse(multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),X_9)))),multiply(inverse(inverse(multiply(inverse(X_113),X_113))),multiply(inverse(X_9),inverse(multiply(inverse(X_9),X_9))))) )],[refute_0_116,refute_0_119]) ).
cnf(refute_0_121,plain,
( inverse(multiply(inverse(inverse(multiply(inverse(X_113),X_113))),multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),inverse(multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),X_9))))) != multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))
| inverse(multiply(inverse(inverse(multiply(inverse(X_113),X_113))),multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),inverse(multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),X_9))))) != inverse(multiply(inverse(inverse(multiply(inverse(X_113),X_113))),multiply(inverse(X_9),inverse(multiply(inverse(X_9),X_9)))))
| inverse(multiply(inverse(inverse(multiply(inverse(X_113),X_113))),multiply(inverse(X_9),inverse(multiply(inverse(X_9),X_9))))) = multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(inverse(inverse(multiply(inverse(X_113),X_113))),multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),inverse(multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),X_9))))),multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))) ),[0],$fot(inverse(multiply(inverse(inverse(multiply(inverse(X_113),X_113))),multiply(inverse(X_9),inverse(multiply(inverse(X_9),X_9))))))]]) ).
cnf(refute_0_122,plain,
( inverse(multiply(inverse(inverse(multiply(inverse(X_113),X_113))),multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),inverse(multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),X_9))))) != multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))
| inverse(multiply(inverse(inverse(multiply(inverse(X_113),X_113))),multiply(inverse(X_9),inverse(multiply(inverse(X_9),X_9))))) = multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(inverse(multiply(inverse(X_113),X_113))),multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),inverse(multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),X_9))))),inverse(multiply(inverse(inverse(multiply(inverse(X_113),X_113))),multiply(inverse(X_9),inverse(multiply(inverse(X_9),X_9)))))) )],[refute_0_120,refute_0_121]) ).
cnf(refute_0_123,plain,
( multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2)) != X_9
| inverse(multiply(inverse(inverse(multiply(inverse(X_113),X_113))),multiply(inverse(X_9),inverse(multiply(inverse(X_9),X_9))))) != multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))
| inverse(multiply(inverse(inverse(multiply(inverse(X_113),X_113))),multiply(inverse(X_9),inverse(multiply(inverse(X_9),X_9))))) = X_9 ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(inverse(inverse(multiply(inverse(X_113),X_113))),multiply(inverse(X_9),inverse(multiply(inverse(X_9),X_9))))),multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))) ),[1],$fot(X_9)]]) ).
cnf(refute_0_124,plain,
( inverse(multiply(inverse(inverse(multiply(inverse(X_113),X_113))),multiply(inverse(X_9),inverse(multiply(inverse(X_9),X_9))))) != multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))
| inverse(multiply(inverse(inverse(multiply(inverse(X_113),X_113))),multiply(inverse(X_9),inverse(multiply(inverse(X_9),X_9))))) = X_9 ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2)),X_9) )],[refute_0_43,refute_0_123]) ).
cnf(refute_0_125,plain,
( inverse(multiply(inverse(inverse(multiply(inverse(X_113),X_113))),multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),inverse(multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),X_9))))) != multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))
| inverse(multiply(inverse(inverse(multiply(inverse(X_113),X_113))),multiply(inverse(X_9),inverse(multiply(inverse(X_9),X_9))))) = X_9 ),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(inverse(multiply(inverse(X_113),X_113))),multiply(inverse(X_9),inverse(multiply(inverse(X_9),X_9))))),multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))) )],[refute_0_122,refute_0_124]) ).
cnf(refute_0_126,plain,
inverse(multiply(inverse(inverse(multiply(inverse(X_113),X_113))),multiply(inverse(X_9),inverse(multiply(inverse(X_9),X_9))))) = X_9,
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(inverse(multiply(inverse(X_113),X_113))),multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),inverse(multiply(inverse(multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))),X_9))))),multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(X_9)),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))) )],[refute_0_86,refute_0_125]) ).
cnf(refute_0_127,plain,
inverse(multiply(inverse(inverse(multiply(inverse(X_114),X_114))),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))) = X_2,
inference(subst,[],[refute_0_126:[bind(X_113,$fot(X_114)),bind(X_9,$fot(X_2))]]) ).
cnf(refute_0_128,plain,
( inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(X_114),X_114)),multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C))) != multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(multiply(inverse(X_114),X_114))),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))
| inverse(multiply(inverse(inverse(multiply(inverse(X_114),X_114))),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))) != X_2
| inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(X_114),X_114)),multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C))) = multiply(inverse(multiply(X_0,X_2)),multiply(X_0,X_2)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(X_114),X_114)),multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C))),multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(multiply(inverse(X_114),X_114))),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))) ),[1,0,0,1],$fot(X_2)]]) ).
cnf(refute_0_129,plain,
( inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(X_114),X_114)),multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C))) != multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(multiply(inverse(X_114),X_114))),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))
| inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(X_114),X_114)),multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C))) = multiply(inverse(multiply(X_0,X_2)),multiply(X_0,X_2)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(inverse(multiply(inverse(X_114),X_114))),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))),X_2) )],[refute_0_127,refute_0_128]) ).
cnf(refute_0_130,plain,
inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(X_114),X_114)),multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C))) = multiply(inverse(multiply(X_0,X_2)),multiply(X_0,X_2)),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(X_114),X_114)),multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C))),multiply(inverse(multiply(X_0,inverse(multiply(inverse(inverse(multiply(inverse(X_114),X_114))),multiply(inverse(X_2),inverse(multiply(inverse(X_2),X_2))))))),multiply(X_0,X_2))) )],[refute_0_5,refute_0_129]) ).
cnf(refute_0_131,plain,
inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(X_114),X_114)),multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C))) = multiply(inverse(X_114),X_114),
inference(subst,[],[refute_0_90:[bind(B,$fot(multiply(inverse(X_114),X_114))),bind(X_10,$fot(C)),bind(X_8,$fot(A))]]) ).
cnf(refute_0_132,plain,
( inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(X_114),X_114)),multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C))) != multiply(inverse(X_114),X_114)
| inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(X_114),X_114)),multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C))) != multiply(inverse(multiply(X_0,X_2)),multiply(X_0,X_2))
| multiply(inverse(X_114),X_114) = multiply(inverse(multiply(X_0,X_2)),multiply(X_0,X_2)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(X_114),X_114)),multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C))),multiply(inverse(multiply(X_0,X_2)),multiply(X_0,X_2))) ),[0],$fot(multiply(inverse(X_114),X_114))]]) ).
cnf(refute_0_133,plain,
( inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(X_114),X_114)),multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C))) != multiply(inverse(multiply(X_0,X_2)),multiply(X_0,X_2))
| multiply(inverse(X_114),X_114) = multiply(inverse(multiply(X_0,X_2)),multiply(X_0,X_2)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(X_114),X_114)),multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C))),multiply(inverse(X_114),X_114)) )],[refute_0_131,refute_0_132]) ).
cnf(refute_0_134,plain,
multiply(inverse(X_114),X_114) = multiply(inverse(multiply(X_0,X_2)),multiply(X_0,X_2)),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(X_114),X_114)),multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C))),multiply(inverse(multiply(X_0,X_2)),multiply(X_0,X_2))) )],[refute_0_130,refute_0_133]) ).
cnf(refute_0_135,plain,
multiply(inverse(X_117),X_117) = multiply(inverse(multiply(X_0,X_2)),multiply(X_0,X_2)),
inference(subst,[],[refute_0_134:[bind(X_114,$fot(X_117))]]) ).
cnf(refute_0_136,plain,
( multiply(inverse(X_117),X_117) != multiply(inverse(multiply(X_0,X_2)),multiply(X_0,X_2))
| multiply(inverse(multiply(X_0,X_2)),multiply(X_0,X_2)) = multiply(inverse(X_117),X_117) ),
inference(subst,[],[refute_0_15:[bind(X,$fot(multiply(inverse(X_117),X_117))),bind(Y,$fot(multiply(inverse(multiply(X_0,X_2)),multiply(X_0,X_2))))]]) ).
cnf(refute_0_137,plain,
multiply(inverse(multiply(X_0,X_2)),multiply(X_0,X_2)) = multiply(inverse(X_117),X_117),
inference(resolve,[$cnf( $equal(multiply(inverse(X_117),X_117),multiply(inverse(multiply(X_0,X_2)),multiply(X_0,X_2))) )],[refute_0_135,refute_0_136]) ).
cnf(refute_0_138,plain,
( multiply(inverse(X_114),X_114) != multiply(inverse(multiply(X_0,X_2)),multiply(X_0,X_2))
| multiply(inverse(multiply(X_0,X_2)),multiply(X_0,X_2)) != multiply(inverse(X_117),X_117)
| multiply(inverse(X_114),X_114) = multiply(inverse(X_117),X_117) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(X_114),X_114),multiply(inverse(X_117),X_117)) ),[0],$fot(multiply(inverse(multiply(X_0,X_2)),multiply(X_0,X_2)))]]) ).
cnf(refute_0_139,plain,
( multiply(inverse(X_114),X_114) != multiply(inverse(multiply(X_0,X_2)),multiply(X_0,X_2))
| multiply(inverse(X_114),X_114) = multiply(inverse(X_117),X_117) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_0,X_2)),multiply(X_0,X_2)),multiply(inverse(X_117),X_117)) )],[refute_0_137,refute_0_138]) ).
cnf(refute_0_140,plain,
multiply(inverse(X_114),X_114) = multiply(inverse(X_117),X_117),
inference(resolve,[$cnf( $equal(multiply(inverse(X_114),X_114),multiply(inverse(multiply(X_0,X_2)),multiply(X_0,X_2))) )],[refute_0_134,refute_0_139]) ).
cnf(refute_0_141,plain,
multiply(inverse(a1),a1) = multiply(inverse(X_120),X_120),
inference(subst,[],[refute_0_140:[bind(X_114,$fot(a1)),bind(X_117,$fot(X_120))]]) ).
cnf(refute_0_142,plain,
( multiply(inverse(X_120),X_120) != multiply(inverse(b1),b1)
| multiply(inverse(a1),a1) != multiply(inverse(X_120),X_120)
| multiply(inverse(a1),a1) = multiply(inverse(b1),b1) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(a1),a1),multiply(inverse(X_120),X_120)) ),[1],$fot(multiply(inverse(b1),b1))]]) ).
cnf(refute_0_143,plain,
( multiply(inverse(X_120),X_120) != multiply(inverse(b1),b1)
| multiply(inverse(a1),a1) = multiply(inverse(b1),b1) ),
inference(resolve,[$cnf( $equal(multiply(inverse(a1),a1),multiply(inverse(X_120),X_120)) )],[refute_0_141,refute_0_142]) ).
cnf(refute_0_144,plain,
multiply(inverse(X_120),X_120) != multiply(inverse(b1),b1),
inference(resolve,[$cnf( $equal(multiply(inverse(a1),a1),multiply(inverse(b1),b1)) )],[refute_0_143,prove_these_axioms_1]) ).
cnf(refute_0_145,plain,
( multiply(inverse(X_114),X_114) != multiply(inverse(X_117),X_117)
| multiply(inverse(X_117),X_117) = multiply(inverse(X_114),X_114) ),
inference(subst,[],[refute_0_15:[bind(X,$fot(multiply(inverse(X_114),X_114))),bind(Y,$fot(multiply(inverse(X_117),X_117)))]]) ).
cnf(refute_0_146,plain,
multiply(inverse(X_117),X_117) = multiply(inverse(X_114),X_114),
inference(resolve,[$cnf( $equal(multiply(inverse(X_114),X_114),multiply(inverse(X_117),X_117)) )],[refute_0_140,refute_0_145]) ).
cnf(refute_0_147,plain,
multiply(inverse(X_120),X_120) = multiply(inverse(b1),b1),
inference(subst,[],[refute_0_146:[bind(X_114,$fot(b1)),bind(X_117,$fot(X_120))]]) ).
cnf(refute_0_148,plain,
$false,
inference(resolve,[$cnf( $equal(multiply(inverse(X_120),X_120),multiply(inverse(b1),b1)) )],[refute_0_147,refute_0_144]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GRP421-1 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.14 % Command : metis --show proof --show saturation %s
% 0.14/0.36 % Computer : n022.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 09:43:03 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.14/0.36 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 79.41/79.61 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 79.41/79.61
% 79.41/79.61 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 79.49/79.67
%------------------------------------------------------------------------------