TSTP Solution File: BOO072-1 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : BOO072-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Thu Jul 14 23:46:05 EDT 2022
% Result : Unsatisfiable 1.99s 2.20s
% Output : CNFRefutation 2.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 134
% Number of leaves : 379
% Syntax : Number of clauses : 1156 ( 569 unt; 0 nHn; 564 RR)
% Number of literals : 2020 (2019 equ; 866 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 22 ( 3 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 2669 ( 228 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(dn1,axiom,
inverse(add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D)))))))) = C ).
cnf(huntinton_1,negated_conjecture,
add(b,a) != add(a,b) ).
cnf(refute_0_0,plain,
inverse(add(inverse(add(inverse(add(C,inverse(C))),C)),inverse(add(C,inverse(add(inverse(C),inverse(add(C,D)))))))) = C,
inference(subst,[],[dn1:[bind(A,$fot(C)),bind(B,$fot(inverse(C)))]]) ).
cnf(refute_0_1,plain,
inverse(add(inverse(add(inverse(add(inverse(add(inverse(add(inverse(inverse(X_2)),X_1)),X_2)),B)),inverse(X_2))),inverse(add(inverse(add(inverse(add(inverse(inverse(X_2)),X_1)),X_2)),inverse(add(inverse(inverse(X_2)),inverse(add(inverse(X_2),inverse(add(X_2,X_3)))))))))) = inverse(X_2),
inference(subst,[],[dn1:[bind(A,$fot(inverse(add(inverse(add(inverse(inverse(X_2)),X_1)),X_2)))),bind(C,$fot(inverse(X_2))),bind(D,$fot(inverse(add(X_2,X_3))))]]) ).
cnf(refute_0_2,plain,
inverse(add(inverse(add(inverse(add(inverse(inverse(X_2)),X_1)),X_2)),inverse(add(inverse(inverse(X_2)),inverse(add(inverse(X_2),inverse(add(X_2,X_3)))))))) = X_2,
inference(subst,[],[dn1:[bind(A,$fot(inverse(inverse(X_2)))),bind(B,$fot(X_1)),bind(C,$fot(X_2)),bind(D,$fot(X_3))]]) ).
cnf(refute_0_3,plain,
( inverse(add(inverse(add(inverse(add(inverse(add(inverse(add(inverse(inverse(X_2)),X_1)),X_2)),B)),inverse(X_2))),inverse(add(inverse(add(inverse(add(inverse(inverse(X_2)),X_1)),X_2)),inverse(add(inverse(inverse(X_2)),inverse(add(inverse(X_2),inverse(add(X_2,X_3)))))))))) != inverse(X_2)
| inverse(add(inverse(add(inverse(add(inverse(inverse(X_2)),X_1)),X_2)),inverse(add(inverse(inverse(X_2)),inverse(add(inverse(X_2),inverse(add(X_2,X_3)))))))) != X_2
| inverse(add(inverse(add(inverse(add(inverse(add(inverse(add(inverse(inverse(X_2)),X_1)),X_2)),B)),inverse(X_2))),X_2)) = inverse(X_2) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(add(inverse(add(inverse(add(inverse(add(inverse(inverse(X_2)),X_1)),X_2)),B)),inverse(X_2))),inverse(add(inverse(add(inverse(add(inverse(inverse(X_2)),X_1)),X_2)),inverse(add(inverse(inverse(X_2)),inverse(add(inverse(X_2),inverse(add(X_2,X_3)))))))))),inverse(X_2)) ),[0,0,1],$fot(X_2)]]) ).
cnf(refute_0_4,plain,
( inverse(add(inverse(add(inverse(add(inverse(add(inverse(add(inverse(inverse(X_2)),X_1)),X_2)),B)),inverse(X_2))),inverse(add(inverse(add(inverse(add(inverse(inverse(X_2)),X_1)),X_2)),inverse(add(inverse(inverse(X_2)),inverse(add(inverse(X_2),inverse(add(X_2,X_3)))))))))) != inverse(X_2)
| inverse(add(inverse(add(inverse(add(inverse(add(inverse(add(inverse(inverse(X_2)),X_1)),X_2)),B)),inverse(X_2))),X_2)) = inverse(X_2) ),
inference(resolve,[$cnf( $equal(inverse(add(inverse(add(inverse(add(inverse(inverse(X_2)),X_1)),X_2)),inverse(add(inverse(inverse(X_2)),inverse(add(inverse(X_2),inverse(add(X_2,X_3)))))))),X_2) )],[refute_0_2,refute_0_3]) ).
cnf(refute_0_5,plain,
inverse(add(inverse(add(inverse(add(inverse(add(inverse(add(inverse(inverse(X_2)),X_1)),X_2)),B)),inverse(X_2))),X_2)) = inverse(X_2),
inference(resolve,[$cnf( $equal(inverse(add(inverse(add(inverse(add(inverse(add(inverse(add(inverse(inverse(X_2)),X_1)),X_2)),B)),inverse(X_2))),inverse(add(inverse(add(inverse(add(inverse(inverse(X_2)),X_1)),X_2)),inverse(add(inverse(inverse(X_2)),inverse(add(inverse(X_2),inverse(add(X_2,X_3)))))))))),inverse(X_2)) )],[refute_0_1,refute_0_4]) ).
cnf(refute_0_6,plain,
inverse(add(inverse(add(inverse(add(inverse(add(inverse(add(inverse(inverse(X_6)),X_5)),X_6)),inverse(add(inverse(inverse(X_6)),inverse(add(inverse(X_6),inverse(add(X_6,D)))))))),inverse(X_6))),X_6)) = inverse(X_6),
inference(subst,[],[refute_0_5:[bind(B,$fot(inverse(add(inverse(inverse(X_6)),inverse(add(inverse(X_6),inverse(add(X_6,D)))))))),bind(X_1,$fot(X_5)),bind(X_2,$fot(X_6))]]) ).
cnf(refute_0_7,plain,
inverse(add(inverse(add(inverse(add(inverse(inverse(X_6)),X_5)),X_6)),inverse(add(inverse(inverse(X_6)),inverse(add(inverse(X_6),inverse(add(X_6,D)))))))) = X_6,
inference(subst,[],[dn1:[bind(A,$fot(inverse(inverse(X_6)))),bind(B,$fot(X_5)),bind(C,$fot(X_6))]]) ).
cnf(refute_0_8,plain,
( inverse(add(inverse(add(inverse(add(inverse(add(inverse(add(inverse(inverse(X_6)),X_5)),X_6)),inverse(add(inverse(inverse(X_6)),inverse(add(inverse(X_6),inverse(add(X_6,D)))))))),inverse(X_6))),X_6)) != inverse(X_6)
| inverse(add(inverse(add(inverse(add(inverse(inverse(X_6)),X_5)),X_6)),inverse(add(inverse(inverse(X_6)),inverse(add(inverse(X_6),inverse(add(X_6,D)))))))) != X_6
| inverse(add(inverse(add(X_6,inverse(X_6))),X_6)) = inverse(X_6) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(add(inverse(add(inverse(add(inverse(add(inverse(inverse(X_6)),X_5)),X_6)),inverse(add(inverse(inverse(X_6)),inverse(add(inverse(X_6),inverse(add(X_6,D)))))))),inverse(X_6))),X_6)),inverse(X_6)) ),[0,0,0,0,0],$fot(X_6)]]) ).
cnf(refute_0_9,plain,
( inverse(add(inverse(add(inverse(add(inverse(add(inverse(add(inverse(inverse(X_6)),X_5)),X_6)),inverse(add(inverse(inverse(X_6)),inverse(add(inverse(X_6),inverse(add(X_6,D)))))))),inverse(X_6))),X_6)) != inverse(X_6)
| inverse(add(inverse(add(X_6,inverse(X_6))),X_6)) = inverse(X_6) ),
inference(resolve,[$cnf( $equal(inverse(add(inverse(add(inverse(add(inverse(inverse(X_6)),X_5)),X_6)),inverse(add(inverse(inverse(X_6)),inverse(add(inverse(X_6),inverse(add(X_6,D)))))))),X_6) )],[refute_0_7,refute_0_8]) ).
cnf(refute_0_10,plain,
inverse(add(inverse(add(X_6,inverse(X_6))),X_6)) = inverse(X_6),
inference(resolve,[$cnf( $equal(inverse(add(inverse(add(inverse(add(inverse(add(inverse(add(inverse(inverse(X_6)),X_5)),X_6)),inverse(add(inverse(inverse(X_6)),inverse(add(inverse(X_6),inverse(add(X_6,D)))))))),inverse(X_6))),X_6)),inverse(X_6)) )],[refute_0_6,refute_0_9]) ).
cnf(refute_0_11,plain,
inverse(add(inverse(add(C,inverse(C))),C)) = inverse(C),
inference(subst,[],[refute_0_10:[bind(X_6,$fot(C))]]) ).
cnf(refute_0_12,plain,
( inverse(add(inverse(add(C,inverse(C))),C)) != inverse(C)
| inverse(add(inverse(add(inverse(add(C,inverse(C))),C)),inverse(add(C,inverse(add(inverse(C),inverse(add(C,D)))))))) != C
| inverse(add(inverse(C),inverse(add(C,inverse(add(inverse(C),inverse(add(C,D)))))))) = C ),
introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(add(inverse(add(C,inverse(C))),C)),inverse(add(C,inverse(add(inverse(C),inverse(add(C,D)))))))),C) ),[0,0,0],$fot(inverse(C))]]) ).
cnf(refute_0_13,plain,
( inverse(add(inverse(add(inverse(add(C,inverse(C))),C)),inverse(add(C,inverse(add(inverse(C),inverse(add(C,D)))))))) != C
| inverse(add(inverse(C),inverse(add(C,inverse(add(inverse(C),inverse(add(C,D)))))))) = C ),
inference(resolve,[$cnf( $equal(inverse(add(inverse(add(C,inverse(C))),C)),inverse(C)) )],[refute_0_11,refute_0_12]) ).
cnf(refute_0_14,plain,
inverse(add(inverse(C),inverse(add(C,inverse(add(inverse(C),inverse(add(C,D)))))))) = C,
inference(resolve,[$cnf( $equal(inverse(add(inverse(add(inverse(add(C,inverse(C))),C)),inverse(add(C,inverse(add(inverse(C),inverse(add(C,D)))))))),C) )],[refute_0_0,refute_0_13]) ).
cnf(refute_0_15,plain,
inverse(add(inverse(C),inverse(add(C,inverse(add(inverse(C),inverse(add(C,inverse(add(inverse(C),inverse(add(C,X_31)))))))))))) = C,
inference(subst,[],[refute_0_14:[bind(D,$fot(inverse(add(inverse(C),inverse(add(C,X_31))))))]]) ).
cnf(refute_0_16,plain,
inverse(add(inverse(C),inverse(add(C,inverse(add(inverse(C),inverse(add(C,X_31)))))))) = C,
inference(subst,[],[refute_0_14:[bind(D,$fot(X_31))]]) ).
cnf(refute_0_17,plain,
( inverse(add(inverse(C),inverse(add(C,inverse(add(inverse(C),inverse(add(C,X_31)))))))) != C
| inverse(add(inverse(C),inverse(add(C,inverse(add(inverse(C),inverse(add(C,inverse(add(inverse(C),inverse(add(C,X_31)))))))))))) != C
| inverse(add(inverse(C),inverse(add(C,C)))) = C ),
introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(C),inverse(add(C,inverse(add(inverse(C),inverse(add(C,inverse(add(inverse(C),inverse(add(C,X_31)))))))))))),C) ),[0,0,1,0,1],$fot(C)]]) ).
cnf(refute_0_18,plain,
( inverse(add(inverse(C),inverse(add(C,inverse(add(inverse(C),inverse(add(C,inverse(add(inverse(C),inverse(add(C,X_31)))))))))))) != C
| inverse(add(inverse(C),inverse(add(C,C)))) = C ),
inference(resolve,[$cnf( $equal(inverse(add(inverse(C),inverse(add(C,inverse(add(inverse(C),inverse(add(C,X_31)))))))),C) )],[refute_0_16,refute_0_17]) ).
cnf(refute_0_19,plain,
inverse(add(inverse(C),inverse(add(C,C)))) = C,
inference(resolve,[$cnf( $equal(inverse(add(inverse(C),inverse(add(C,inverse(add(inverse(C),inverse(add(C,inverse(add(inverse(C),inverse(add(C,X_31)))))))))))),C) )],[refute_0_15,refute_0_18]) ).
cnf(refute_0_20,plain,
inverse(add(inverse(add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D)))))))),inverse(add(add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D))))))),add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D))))))))))) = add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D))))))),
inference(subst,[],[refute_0_19:[bind(C,$fot(add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D)))))))))]]) ).
cnf(refute_0_21,plain,
( inverse(add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D)))))))) != C
| inverse(add(inverse(add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D)))))))),inverse(add(add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D))))))),add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D))))))))))) != add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D)))))))
| inverse(add(C,inverse(add(add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D))))))),add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D))))))))))) = add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D))))))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D)))))))),inverse(add(add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D))))))),add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D))))))))))),add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D)))))))) ),[0,0,0],$fot(C)]]) ).
cnf(refute_0_22,plain,
( inverse(add(inverse(add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D)))))))),inverse(add(add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D))))))),add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D))))))))))) != add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D)))))))
| inverse(add(C,inverse(add(add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D))))))),add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D))))))))))) = add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D))))))) ),
inference(resolve,[$cnf( $equal(inverse(add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D)))))))),C) )],[dn1,refute_0_21]) ).
cnf(refute_0_23,plain,
inverse(add(C,inverse(add(add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D))))))),add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D))))))))))) = add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D))))))),
inference(resolve,[$cnf( $equal(inverse(add(inverse(add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D)))))))),inverse(add(add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D))))))),add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D))))))))))),add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D)))))))) )],[refute_0_20,refute_0_22]) ).
cnf(refute_0_24,plain,
inverse(add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,inverse(add(inverse(C),inverse(add(C,X_31)))))))))))) = C,
inference(subst,[],[dn1:[bind(D,$fot(inverse(add(inverse(C),inverse(add(C,X_31))))))]]) ).
cnf(refute_0_25,plain,
( inverse(add(inverse(C),inverse(add(C,inverse(add(inverse(C),inverse(add(C,X_31)))))))) != C
| inverse(add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,inverse(add(inverse(C),inverse(add(C,X_31)))))))))))) != C
| inverse(add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,C)))) = C ),
introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,inverse(add(inverse(C),inverse(add(C,X_31)))))))))))),C) ),[0,0,1,0,1],$fot(C)]]) ).
cnf(refute_0_26,plain,
( inverse(add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,inverse(add(inverse(C),inverse(add(C,X_31)))))))))))) != C
| inverse(add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,C)))) = C ),
inference(resolve,[$cnf( $equal(inverse(add(inverse(C),inverse(add(C,inverse(add(inverse(C),inverse(add(C,X_31)))))))),C) )],[refute_0_16,refute_0_25]) ).
cnf(refute_0_27,plain,
inverse(add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,C)))) = C,
inference(resolve,[$cnf( $equal(inverse(add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,inverse(add(inverse(C),inverse(add(C,X_31)))))))))))),C) )],[refute_0_24,refute_0_26]) ).
cnf(refute_0_28,plain,
inverse(add(inverse(add(inverse(add(inverse(X_42),X_42)),inverse(X_42))),inverse(add(inverse(X_42),inverse(X_42))))) = inverse(X_42),
inference(subst,[],[refute_0_27:[bind(A,$fot(inverse(X_42))),bind(B,$fot(X_42)),bind(C,$fot(inverse(X_42)))]]) ).
cnf(refute_0_29,plain,
inverse(add(inverse(add(inverse(add(inverse(add(inverse(add(X_0,X_1)),X_2)),inverse(add(X_0,inverse(add(inverse(X_2),inverse(add(X_2,X_3)))))))),C)),inverse(add(inverse(add(inverse(add(X_0,X_1)),X_2)),inverse(add(inverse(C),inverse(add(C,D)))))))) = C,
inference(subst,[],[dn1:[bind(A,$fot(inverse(add(inverse(add(X_0,X_1)),X_2)))),bind(B,$fot(inverse(add(X_0,inverse(add(inverse(X_2),inverse(add(X_2,X_3))))))))]]) ).
cnf(refute_0_30,plain,
inverse(add(inverse(add(inverse(add(X_0,X_1)),X_2)),inverse(add(X_0,inverse(add(inverse(X_2),inverse(add(X_2,X_3)))))))) = X_2,
inference(subst,[],[dn1:[bind(A,$fot(X_0)),bind(B,$fot(X_1)),bind(C,$fot(X_2)),bind(D,$fot(X_3))]]) ).
cnf(refute_0_31,plain,
( inverse(add(inverse(add(inverse(add(X_0,X_1)),X_2)),inverse(add(X_0,inverse(add(inverse(X_2),inverse(add(X_2,X_3)))))))) != X_2
| inverse(add(inverse(add(inverse(add(inverse(add(inverse(add(X_0,X_1)),X_2)),inverse(add(X_0,inverse(add(inverse(X_2),inverse(add(X_2,X_3)))))))),C)),inverse(add(inverse(add(inverse(add(X_0,X_1)),X_2)),inverse(add(inverse(C),inverse(add(C,D)))))))) != C
| inverse(add(inverse(add(X_2,C)),inverse(add(inverse(add(inverse(add(X_0,X_1)),X_2)),inverse(add(inverse(C),inverse(add(C,D)))))))) = C ),
introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(add(inverse(add(inverse(add(inverse(add(X_0,X_1)),X_2)),inverse(add(X_0,inverse(add(inverse(X_2),inverse(add(X_2,X_3)))))))),C)),inverse(add(inverse(add(inverse(add(X_0,X_1)),X_2)),inverse(add(inverse(C),inverse(add(C,D)))))))),C) ),[0,0,0,0,0],$fot(X_2)]]) ).
cnf(refute_0_32,plain,
( inverse(add(inverse(add(inverse(add(inverse(add(inverse(add(X_0,X_1)),X_2)),inverse(add(X_0,inverse(add(inverse(X_2),inverse(add(X_2,X_3)))))))),C)),inverse(add(inverse(add(inverse(add(X_0,X_1)),X_2)),inverse(add(inverse(C),inverse(add(C,D)))))))) != C
| inverse(add(inverse(add(X_2,C)),inverse(add(inverse(add(inverse(add(X_0,X_1)),X_2)),inverse(add(inverse(C),inverse(add(C,D)))))))) = C ),
inference(resolve,[$cnf( $equal(inverse(add(inverse(add(inverse(add(X_0,X_1)),X_2)),inverse(add(X_0,inverse(add(inverse(X_2),inverse(add(X_2,X_3)))))))),X_2) )],[refute_0_30,refute_0_31]) ).
cnf(refute_0_33,plain,
inverse(add(inverse(add(X_2,C)),inverse(add(inverse(add(inverse(add(X_0,X_1)),X_2)),inverse(add(inverse(C),inverse(add(C,D)))))))) = C,
inference(resolve,[$cnf( $equal(inverse(add(inverse(add(inverse(add(inverse(add(inverse(add(X_0,X_1)),X_2)),inverse(add(X_0,inverse(add(inverse(X_2),inverse(add(X_2,X_3)))))))),C)),inverse(add(inverse(add(inverse(add(X_0,X_1)),X_2)),inverse(add(inverse(C),inverse(add(C,D)))))))),C) )],[refute_0_29,refute_0_32]) ).
cnf(refute_0_34,plain,
inverse(add(inverse(add(inverse(inverse(add(inverse(X_8),inverse(add(X_8,X_9))))),X_8)),inverse(add(inverse(add(inverse(add(inverse(X_8),inverse(add(X_8,X_9)))),inverse(inverse(add(inverse(X_8),inverse(add(X_8,X_9))))))),inverse(add(inverse(X_8),inverse(add(X_8,X_9)))))))) = X_8,
inference(subst,[],[refute_0_33:[bind(C,$fot(X_8)),bind(D,$fot(X_9)),bind(X_0,$fot(inverse(X_8))),bind(X_1,$fot(inverse(add(X_8,X_9)))),bind(X_2,$fot(inverse(inverse(add(inverse(X_8),inverse(add(X_8,X_9)))))))]]) ).
cnf(refute_0_35,plain,
inverse(add(inverse(add(inverse(add(inverse(X_8),inverse(add(X_8,X_9)))),inverse(inverse(add(inverse(X_8),inverse(add(X_8,X_9))))))),inverse(add(inverse(X_8),inverse(add(X_8,X_9)))))) = inverse(inverse(add(inverse(X_8),inverse(add(X_8,X_9))))),
inference(subst,[],[refute_0_10:[bind(X_6,$fot(inverse(add(inverse(X_8),inverse(add(X_8,X_9))))))]]) ).
cnf(refute_0_36,plain,
( inverse(add(inverse(add(inverse(add(inverse(X_8),inverse(add(X_8,X_9)))),inverse(inverse(add(inverse(X_8),inverse(add(X_8,X_9))))))),inverse(add(inverse(X_8),inverse(add(X_8,X_9)))))) != inverse(inverse(add(inverse(X_8),inverse(add(X_8,X_9)))))
| inverse(add(inverse(add(inverse(inverse(add(inverse(X_8),inverse(add(X_8,X_9))))),X_8)),inverse(add(inverse(add(inverse(add(inverse(X_8),inverse(add(X_8,X_9)))),inverse(inverse(add(inverse(X_8),inverse(add(X_8,X_9))))))),inverse(add(inverse(X_8),inverse(add(X_8,X_9)))))))) != X_8
| inverse(add(inverse(add(inverse(inverse(add(inverse(X_8),inverse(add(X_8,X_9))))),X_8)),inverse(inverse(add(inverse(X_8),inverse(add(X_8,X_9))))))) = X_8 ),
introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(add(inverse(inverse(add(inverse(X_8),inverse(add(X_8,X_9))))),X_8)),inverse(add(inverse(add(inverse(add(inverse(X_8),inverse(add(X_8,X_9)))),inverse(inverse(add(inverse(X_8),inverse(add(X_8,X_9))))))),inverse(add(inverse(X_8),inverse(add(X_8,X_9)))))))),X_8) ),[0,0,1],$fot(inverse(inverse(add(inverse(X_8),inverse(add(X_8,X_9))))))]]) ).
cnf(refute_0_37,plain,
( inverse(add(inverse(add(inverse(inverse(add(inverse(X_8),inverse(add(X_8,X_9))))),X_8)),inverse(add(inverse(add(inverse(add(inverse(X_8),inverse(add(X_8,X_9)))),inverse(inverse(add(inverse(X_8),inverse(add(X_8,X_9))))))),inverse(add(inverse(X_8),inverse(add(X_8,X_9)))))))) != X_8
| inverse(add(inverse(add(inverse(inverse(add(inverse(X_8),inverse(add(X_8,X_9))))),X_8)),inverse(inverse(add(inverse(X_8),inverse(add(X_8,X_9))))))) = X_8 ),
inference(resolve,[$cnf( $equal(inverse(add(inverse(add(inverse(add(inverse(X_8),inverse(add(X_8,X_9)))),inverse(inverse(add(inverse(X_8),inverse(add(X_8,X_9))))))),inverse(add(inverse(X_8),inverse(add(X_8,X_9)))))),inverse(inverse(add(inverse(X_8),inverse(add(X_8,X_9)))))) )],[refute_0_35,refute_0_36]) ).
cnf(refute_0_38,plain,
inverse(add(inverse(add(inverse(inverse(add(inverse(X_8),inverse(add(X_8,X_9))))),X_8)),inverse(inverse(add(inverse(X_8),inverse(add(X_8,X_9))))))) = X_8,
inference(resolve,[$cnf( $equal(inverse(add(inverse(add(inverse(inverse(add(inverse(X_8),inverse(add(X_8,X_9))))),X_8)),inverse(add(inverse(add(inverse(add(inverse(X_8),inverse(add(X_8,X_9)))),inverse(inverse(add(inverse(X_8),inverse(add(X_8,X_9))))))),inverse(add(inverse(X_8),inverse(add(X_8,X_9)))))))),X_8) )],[refute_0_34,refute_0_37]) ).
cnf(refute_0_39,plain,
inverse(add(inverse(add(inverse(inverse(add(inverse(X_8),inverse(add(X_8,inverse(add(inverse(X_8),inverse(add(X_8,X_31))))))))),X_8)),inverse(inverse(add(inverse(X_8),inverse(add(X_8,inverse(add(inverse(X_8),inverse(add(X_8,X_31))))))))))) = X_8,
inference(subst,[],[refute_0_38:[bind(X_9,$fot(inverse(add(inverse(X_8),inverse(add(X_8,X_31))))))]]) ).
cnf(refute_0_40,plain,
inverse(add(inverse(X_8),inverse(add(X_8,inverse(add(inverse(X_8),inverse(add(X_8,X_31)))))))) = X_8,
inference(subst,[],[refute_0_14:[bind(C,$fot(X_8)),bind(D,$fot(X_31))]]) ).
cnf(refute_0_41,plain,
( inverse(add(inverse(X_8),inverse(add(X_8,inverse(add(inverse(X_8),inverse(add(X_8,X_31)))))))) != X_8
| inverse(add(inverse(add(inverse(inverse(add(inverse(X_8),inverse(add(X_8,inverse(add(inverse(X_8),inverse(add(X_8,X_31))))))))),X_8)),inverse(inverse(add(inverse(X_8),inverse(add(X_8,inverse(add(inverse(X_8),inverse(add(X_8,X_31))))))))))) != X_8
| inverse(add(inverse(add(inverse(X_8),X_8)),inverse(inverse(add(inverse(X_8),inverse(add(X_8,inverse(add(inverse(X_8),inverse(add(X_8,X_31))))))))))) = X_8 ),
introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(add(inverse(inverse(add(inverse(X_8),inverse(add(X_8,inverse(add(inverse(X_8),inverse(add(X_8,X_31))))))))),X_8)),inverse(inverse(add(inverse(X_8),inverse(add(X_8,inverse(add(inverse(X_8),inverse(add(X_8,X_31))))))))))),X_8) ),[0,0,0,0,0,0],$fot(X_8)]]) ).
cnf(refute_0_42,plain,
( inverse(add(inverse(add(inverse(inverse(add(inverse(X_8),inverse(add(X_8,inverse(add(inverse(X_8),inverse(add(X_8,X_31))))))))),X_8)),inverse(inverse(add(inverse(X_8),inverse(add(X_8,inverse(add(inverse(X_8),inverse(add(X_8,X_31))))))))))) != X_8
| inverse(add(inverse(add(inverse(X_8),X_8)),inverse(inverse(add(inverse(X_8),inverse(add(X_8,inverse(add(inverse(X_8),inverse(add(X_8,X_31))))))))))) = X_8 ),
inference(resolve,[$cnf( $equal(inverse(add(inverse(X_8),inverse(add(X_8,inverse(add(inverse(X_8),inverse(add(X_8,X_31)))))))),X_8) )],[refute_0_40,refute_0_41]) ).
cnf(refute_0_43,plain,
inverse(add(inverse(add(inverse(X_8),X_8)),inverse(inverse(add(inverse(X_8),inverse(add(X_8,inverse(add(inverse(X_8),inverse(add(X_8,X_31))))))))))) = X_8,
inference(resolve,[$cnf( $equal(inverse(add(inverse(add(inverse(inverse(add(inverse(X_8),inverse(add(X_8,inverse(add(inverse(X_8),inverse(add(X_8,X_31))))))))),X_8)),inverse(inverse(add(inverse(X_8),inverse(add(X_8,inverse(add(inverse(X_8),inverse(add(X_8,X_31))))))))))),X_8) )],[refute_0_39,refute_0_42]) ).
cnf(refute_0_44,plain,
inverse(inverse(add(inverse(X_8),inverse(add(X_8,inverse(add(inverse(X_8),inverse(add(X_8,X_31))))))))) = inverse(inverse(add(inverse(X_8),inverse(add(X_8,inverse(add(inverse(X_8),inverse(add(X_8,X_31))))))))),
introduced(tautology,[refl,[$fot(inverse(inverse(add(inverse(X_8),inverse(add(X_8,inverse(add(inverse(X_8),inverse(add(X_8,X_31))))))))))]]) ).
cnf(refute_0_45,plain,
( inverse(add(inverse(X_8),inverse(add(X_8,inverse(add(inverse(X_8),inverse(add(X_8,X_31)))))))) != X_8
| inverse(inverse(add(inverse(X_8),inverse(add(X_8,inverse(add(inverse(X_8),inverse(add(X_8,X_31))))))))) != inverse(inverse(add(inverse(X_8),inverse(add(X_8,inverse(add(inverse(X_8),inverse(add(X_8,X_31)))))))))
| inverse(inverse(add(inverse(X_8),inverse(add(X_8,inverse(add(inverse(X_8),inverse(add(X_8,X_31))))))))) = inverse(X_8) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(add(inverse(X_8),inverse(add(X_8,inverse(add(inverse(X_8),inverse(add(X_8,X_31))))))))),inverse(inverse(add(inverse(X_8),inverse(add(X_8,inverse(add(inverse(X_8),inverse(add(X_8,X_31)))))))))) ),[1,0],$fot(X_8)]]) ).
cnf(refute_0_46,plain,
( inverse(add(inverse(X_8),inverse(add(X_8,inverse(add(inverse(X_8),inverse(add(X_8,X_31)))))))) != X_8
| inverse(inverse(add(inverse(X_8),inverse(add(X_8,inverse(add(inverse(X_8),inverse(add(X_8,X_31))))))))) = inverse(X_8) ),
inference(resolve,[$cnf( $equal(inverse(inverse(add(inverse(X_8),inverse(add(X_8,inverse(add(inverse(X_8),inverse(add(X_8,X_31))))))))),inverse(inverse(add(inverse(X_8),inverse(add(X_8,inverse(add(inverse(X_8),inverse(add(X_8,X_31)))))))))) )],[refute_0_44,refute_0_45]) ).
cnf(refute_0_47,plain,
inverse(inverse(add(inverse(X_8),inverse(add(X_8,inverse(add(inverse(X_8),inverse(add(X_8,X_31))))))))) = inverse(X_8),
inference(resolve,[$cnf( $equal(inverse(add(inverse(X_8),inverse(add(X_8,inverse(add(inverse(X_8),inverse(add(X_8,X_31)))))))),X_8) )],[refute_0_40,refute_0_46]) ).
cnf(refute_0_48,plain,
add(inverse(add(inverse(X_8),X_8)),inverse(inverse(add(inverse(X_8),inverse(add(X_8,inverse(add(inverse(X_8),inverse(add(X_8,X_31)))))))))) = add(inverse(add(inverse(X_8),X_8)),inverse(inverse(add(inverse(X_8),inverse(add(X_8,inverse(add(inverse(X_8),inverse(add(X_8,X_31)))))))))),
introduced(tautology,[refl,[$fot(add(inverse(add(inverse(X_8),X_8)),inverse(inverse(add(inverse(X_8),inverse(add(X_8,inverse(add(inverse(X_8),inverse(add(X_8,X_31)))))))))))]]) ).
cnf(refute_0_49,plain,
( add(inverse(add(inverse(X_8),X_8)),inverse(inverse(add(inverse(X_8),inverse(add(X_8,inverse(add(inverse(X_8),inverse(add(X_8,X_31)))))))))) != add(inverse(add(inverse(X_8),X_8)),inverse(inverse(add(inverse(X_8),inverse(add(X_8,inverse(add(inverse(X_8),inverse(add(X_8,X_31))))))))))
| inverse(inverse(add(inverse(X_8),inverse(add(X_8,inverse(add(inverse(X_8),inverse(add(X_8,X_31))))))))) != inverse(X_8)
| add(inverse(add(inverse(X_8),X_8)),inverse(inverse(add(inverse(X_8),inverse(add(X_8,inverse(add(inverse(X_8),inverse(add(X_8,X_31)))))))))) = add(inverse(add(inverse(X_8),X_8)),inverse(X_8)) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(add(inverse(X_8),X_8)),inverse(inverse(add(inverse(X_8),inverse(add(X_8,inverse(add(inverse(X_8),inverse(add(X_8,X_31)))))))))),add(inverse(add(inverse(X_8),X_8)),inverse(inverse(add(inverse(X_8),inverse(add(X_8,inverse(add(inverse(X_8),inverse(add(X_8,X_31))))))))))) ),[1,1],$fot(inverse(X_8))]]) ).
cnf(refute_0_50,plain,
( inverse(inverse(add(inverse(X_8),inverse(add(X_8,inverse(add(inverse(X_8),inverse(add(X_8,X_31))))))))) != inverse(X_8)
| add(inverse(add(inverse(X_8),X_8)),inverse(inverse(add(inverse(X_8),inverse(add(X_8,inverse(add(inverse(X_8),inverse(add(X_8,X_31)))))))))) = add(inverse(add(inverse(X_8),X_8)),inverse(X_8)) ),
inference(resolve,[$cnf( $equal(add(inverse(add(inverse(X_8),X_8)),inverse(inverse(add(inverse(X_8),inverse(add(X_8,inverse(add(inverse(X_8),inverse(add(X_8,X_31)))))))))),add(inverse(add(inverse(X_8),X_8)),inverse(inverse(add(inverse(X_8),inverse(add(X_8,inverse(add(inverse(X_8),inverse(add(X_8,X_31))))))))))) )],[refute_0_48,refute_0_49]) ).
cnf(refute_0_51,plain,
add(inverse(add(inverse(X_8),X_8)),inverse(inverse(add(inverse(X_8),inverse(add(X_8,inverse(add(inverse(X_8),inverse(add(X_8,X_31)))))))))) = add(inverse(add(inverse(X_8),X_8)),inverse(X_8)),
inference(resolve,[$cnf( $equal(inverse(inverse(add(inverse(X_8),inverse(add(X_8,inverse(add(inverse(X_8),inverse(add(X_8,X_31))))))))),inverse(X_8)) )],[refute_0_47,refute_0_50]) ).
cnf(refute_0_52,plain,
inverse(add(inverse(add(inverse(X_8),X_8)),inverse(inverse(add(inverse(X_8),inverse(add(X_8,inverse(add(inverse(X_8),inverse(add(X_8,X_31))))))))))) = inverse(add(inverse(add(inverse(X_8),X_8)),inverse(inverse(add(inverse(X_8),inverse(add(X_8,inverse(add(inverse(X_8),inverse(add(X_8,X_31))))))))))),
introduced(tautology,[refl,[$fot(inverse(add(inverse(add(inverse(X_8),X_8)),inverse(inverse(add(inverse(X_8),inverse(add(X_8,inverse(add(inverse(X_8),inverse(add(X_8,X_31))))))))))))]]) ).
cnf(refute_0_53,plain,
( add(inverse(add(inverse(X_8),X_8)),inverse(inverse(add(inverse(X_8),inverse(add(X_8,inverse(add(inverse(X_8),inverse(add(X_8,X_31)))))))))) != add(inverse(add(inverse(X_8),X_8)),inverse(X_8))
| inverse(add(inverse(add(inverse(X_8),X_8)),inverse(inverse(add(inverse(X_8),inverse(add(X_8,inverse(add(inverse(X_8),inverse(add(X_8,X_31))))))))))) != inverse(add(inverse(add(inverse(X_8),X_8)),inverse(inverse(add(inverse(X_8),inverse(add(X_8,inverse(add(inverse(X_8),inverse(add(X_8,X_31)))))))))))
| inverse(add(inverse(add(inverse(X_8),X_8)),inverse(inverse(add(inverse(X_8),inverse(add(X_8,inverse(add(inverse(X_8),inverse(add(X_8,X_31))))))))))) = inverse(add(inverse(add(inverse(X_8),X_8)),inverse(X_8))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(add(inverse(X_8),X_8)),inverse(inverse(add(inverse(X_8),inverse(add(X_8,inverse(add(inverse(X_8),inverse(add(X_8,X_31))))))))))),inverse(add(inverse(add(inverse(X_8),X_8)),inverse(inverse(add(inverse(X_8),inverse(add(X_8,inverse(add(inverse(X_8),inverse(add(X_8,X_31)))))))))))) ),[1,0],$fot(add(inverse(add(inverse(X_8),X_8)),inverse(X_8)))]]) ).
cnf(refute_0_54,plain,
( add(inverse(add(inverse(X_8),X_8)),inverse(inverse(add(inverse(X_8),inverse(add(X_8,inverse(add(inverse(X_8),inverse(add(X_8,X_31)))))))))) != add(inverse(add(inverse(X_8),X_8)),inverse(X_8))
| inverse(add(inverse(add(inverse(X_8),X_8)),inverse(inverse(add(inverse(X_8),inverse(add(X_8,inverse(add(inverse(X_8),inverse(add(X_8,X_31))))))))))) = inverse(add(inverse(add(inverse(X_8),X_8)),inverse(X_8))) ),
inference(resolve,[$cnf( $equal(inverse(add(inverse(add(inverse(X_8),X_8)),inverse(inverse(add(inverse(X_8),inverse(add(X_8,inverse(add(inverse(X_8),inverse(add(X_8,X_31))))))))))),inverse(add(inverse(add(inverse(X_8),X_8)),inverse(inverse(add(inverse(X_8),inverse(add(X_8,inverse(add(inverse(X_8),inverse(add(X_8,X_31)))))))))))) )],[refute_0_52,refute_0_53]) ).
cnf(refute_0_55,plain,
inverse(add(inverse(add(inverse(X_8),X_8)),inverse(inverse(add(inverse(X_8),inverse(add(X_8,inverse(add(inverse(X_8),inverse(add(X_8,X_31))))))))))) = inverse(add(inverse(add(inverse(X_8),X_8)),inverse(X_8))),
inference(resolve,[$cnf( $equal(add(inverse(add(inverse(X_8),X_8)),inverse(inverse(add(inverse(X_8),inverse(add(X_8,inverse(add(inverse(X_8),inverse(add(X_8,X_31)))))))))),add(inverse(add(inverse(X_8),X_8)),inverse(X_8))) )],[refute_0_51,refute_0_54]) ).
cnf(refute_0_56,plain,
( inverse(add(inverse(add(inverse(X_8),X_8)),inverse(inverse(add(inverse(X_8),inverse(add(X_8,inverse(add(inverse(X_8),inverse(add(X_8,X_31))))))))))) != X_8
| inverse(add(inverse(add(inverse(X_8),X_8)),inverse(inverse(add(inverse(X_8),inverse(add(X_8,inverse(add(inverse(X_8),inverse(add(X_8,X_31))))))))))) != inverse(add(inverse(add(inverse(X_8),X_8)),inverse(X_8)))
| inverse(add(inverse(add(inverse(X_8),X_8)),inverse(X_8))) = X_8 ),
introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(add(inverse(X_8),X_8)),inverse(inverse(add(inverse(X_8),inverse(add(X_8,inverse(add(inverse(X_8),inverse(add(X_8,X_31))))))))))),X_8) ),[0],$fot(inverse(add(inverse(add(inverse(X_8),X_8)),inverse(X_8))))]]) ).
cnf(refute_0_57,plain,
( inverse(add(inverse(add(inverse(X_8),X_8)),inverse(inverse(add(inverse(X_8),inverse(add(X_8,inverse(add(inverse(X_8),inverse(add(X_8,X_31))))))))))) != X_8
| inverse(add(inverse(add(inverse(X_8),X_8)),inverse(X_8))) = X_8 ),
inference(resolve,[$cnf( $equal(inverse(add(inverse(add(inverse(X_8),X_8)),inverse(inverse(add(inverse(X_8),inverse(add(X_8,inverse(add(inverse(X_8),inverse(add(X_8,X_31))))))))))),inverse(add(inverse(add(inverse(X_8),X_8)),inverse(X_8)))) )],[refute_0_55,refute_0_56]) ).
cnf(refute_0_58,plain,
inverse(add(inverse(add(inverse(X_8),X_8)),inverse(X_8))) = X_8,
inference(resolve,[$cnf( $equal(inverse(add(inverse(add(inverse(X_8),X_8)),inverse(inverse(add(inverse(X_8),inverse(add(X_8,inverse(add(inverse(X_8),inverse(add(X_8,X_31))))))))))),X_8) )],[refute_0_43,refute_0_57]) ).
cnf(refute_0_59,plain,
inverse(add(inverse(add(inverse(X_42),X_42)),inverse(X_42))) = X_42,
inference(subst,[],[refute_0_58:[bind(X_8,$fot(X_42))]]) ).
cnf(refute_0_60,plain,
( inverse(add(inverse(add(inverse(X_42),X_42)),inverse(X_42))) != X_42
| inverse(add(inverse(add(inverse(add(inverse(X_42),X_42)),inverse(X_42))),inverse(add(inverse(X_42),inverse(X_42))))) != inverse(X_42)
| inverse(add(X_42,inverse(add(inverse(X_42),inverse(X_42))))) = inverse(X_42) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(add(inverse(add(inverse(X_42),X_42)),inverse(X_42))),inverse(add(inverse(X_42),inverse(X_42))))),inverse(X_42)) ),[0,0,0],$fot(X_42)]]) ).
cnf(refute_0_61,plain,
( inverse(add(inverse(add(inverse(add(inverse(X_42),X_42)),inverse(X_42))),inverse(add(inverse(X_42),inverse(X_42))))) != inverse(X_42)
| inverse(add(X_42,inverse(add(inverse(X_42),inverse(X_42))))) = inverse(X_42) ),
inference(resolve,[$cnf( $equal(inverse(add(inverse(add(inverse(X_42),X_42)),inverse(X_42))),X_42) )],[refute_0_59,refute_0_60]) ).
cnf(refute_0_62,plain,
inverse(add(X_42,inverse(add(inverse(X_42),inverse(X_42))))) = inverse(X_42),
inference(resolve,[$cnf( $equal(inverse(add(inverse(add(inverse(add(inverse(X_42),X_42)),inverse(X_42))),inverse(add(inverse(X_42),inverse(X_42))))),inverse(X_42)) )],[refute_0_28,refute_0_61]) ).
cnf(refute_0_63,plain,
inverse(add(inverse(C),inverse(add(C,inverse(add(inverse(C),inverse(add(C,inverse(add(inverse(C),inverse(C))))))))))) = C,
inference(subst,[],[refute_0_14:[bind(D,$fot(inverse(add(inverse(C),inverse(C)))))]]) ).
cnf(refute_0_64,plain,
inverse(add(C,inverse(add(inverse(C),inverse(C))))) = inverse(C),
inference(subst,[],[refute_0_62:[bind(X_42,$fot(C))]]) ).
cnf(refute_0_65,plain,
( inverse(add(C,inverse(add(inverse(C),inverse(C))))) != inverse(C)
| inverse(add(inverse(C),inverse(add(C,inverse(add(inverse(C),inverse(add(C,inverse(add(inverse(C),inverse(C))))))))))) != C
| inverse(add(inverse(C),inverse(add(C,inverse(add(inverse(C),inverse(C))))))) = C ),
introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(C),inverse(add(C,inverse(add(inverse(C),inverse(add(C,inverse(add(inverse(C),inverse(C))))))))))),C) ),[0,0,1,0,1,0,1],$fot(inverse(C))]]) ).
cnf(refute_0_66,plain,
( inverse(add(inverse(C),inverse(add(C,inverse(add(inverse(C),inverse(add(C,inverse(add(inverse(C),inverse(C))))))))))) != C
| inverse(add(inverse(C),inverse(add(C,inverse(add(inverse(C),inverse(C))))))) = C ),
inference(resolve,[$cnf( $equal(inverse(add(C,inverse(add(inverse(C),inverse(C))))),inverse(C)) )],[refute_0_64,refute_0_65]) ).
cnf(refute_0_67,plain,
inverse(add(inverse(C),inverse(add(C,inverse(add(inverse(C),inverse(C))))))) = C,
inference(resolve,[$cnf( $equal(inverse(add(inverse(C),inverse(add(C,inverse(add(inverse(C),inverse(add(C,inverse(add(inverse(C),inverse(C))))))))))),C) )],[refute_0_63,refute_0_66]) ).
cnf(refute_0_68,plain,
inverse(add(inverse(add(inverse(add(X_41,X_42)),inverse(add(inverse(X_41),X_42)))),inverse(add(X_41,inverse(add(inverse(X_41),X_42)))))) = inverse(add(inverse(X_41),X_42)),
inference(subst,[],[refute_0_27:[bind(A,$fot(X_41)),bind(B,$fot(X_42)),bind(C,$fot(inverse(add(inverse(X_41),X_42))))]]) ).
cnf(refute_0_69,plain,
inverse(add(inverse(add(X_12,X_8)),inverse(add(inverse(add(inverse(add(inverse(add(inverse(add(inverse(add(inverse(inverse(X_12)),X_1)),X_12)),B)),inverse(X_12))),X_12)),inverse(add(inverse(X_8),inverse(add(X_8,X_9)))))))) = X_8,
inference(subst,[],[refute_0_33:[bind(C,$fot(X_8)),bind(D,$fot(X_9)),bind(X_0,$fot(inverse(add(inverse(add(inverse(add(inverse(inverse(X_12)),X_1)),X_12)),B)))),bind(X_1,$fot(inverse(X_12))),bind(X_2,$fot(X_12))]]) ).
cnf(refute_0_70,plain,
inverse(add(inverse(add(inverse(add(inverse(add(inverse(add(inverse(inverse(X_12)),X_1)),X_12)),B)),inverse(X_12))),X_12)) = inverse(X_12),
inference(subst,[],[refute_0_5:[bind(X_2,$fot(X_12))]]) ).
cnf(refute_0_71,plain,
( inverse(add(inverse(add(X_12,X_8)),inverse(add(inverse(add(inverse(add(inverse(add(inverse(add(inverse(add(inverse(inverse(X_12)),X_1)),X_12)),B)),inverse(X_12))),X_12)),inverse(add(inverse(X_8),inverse(add(X_8,X_9)))))))) != X_8
| inverse(add(inverse(add(inverse(add(inverse(add(inverse(add(inverse(inverse(X_12)),X_1)),X_12)),B)),inverse(X_12))),X_12)) != inverse(X_12)
| inverse(add(inverse(add(X_12,X_8)),inverse(add(inverse(X_12),inverse(add(inverse(X_8),inverse(add(X_8,X_9)))))))) = X_8 ),
introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(add(X_12,X_8)),inverse(add(inverse(add(inverse(add(inverse(add(inverse(add(inverse(add(inverse(inverse(X_12)),X_1)),X_12)),B)),inverse(X_12))),X_12)),inverse(add(inverse(X_8),inverse(add(X_8,X_9)))))))),X_8) ),[0,0,1,0,0],$fot(inverse(X_12))]]) ).
cnf(refute_0_72,plain,
( inverse(add(inverse(add(X_12,X_8)),inverse(add(inverse(add(inverse(add(inverse(add(inverse(add(inverse(add(inverse(inverse(X_12)),X_1)),X_12)),B)),inverse(X_12))),X_12)),inverse(add(inverse(X_8),inverse(add(X_8,X_9)))))))) != X_8
| inverse(add(inverse(add(X_12,X_8)),inverse(add(inverse(X_12),inverse(add(inverse(X_8),inverse(add(X_8,X_9)))))))) = X_8 ),
inference(resolve,[$cnf( $equal(inverse(add(inverse(add(inverse(add(inverse(add(inverse(add(inverse(inverse(X_12)),X_1)),X_12)),B)),inverse(X_12))),X_12)),inverse(X_12)) )],[refute_0_70,refute_0_71]) ).
cnf(refute_0_73,plain,
inverse(add(inverse(add(X_12,X_8)),inverse(add(inverse(X_12),inverse(add(inverse(X_8),inverse(add(X_8,X_9)))))))) = X_8,
inference(resolve,[$cnf( $equal(inverse(add(inverse(add(X_12,X_8)),inverse(add(inverse(add(inverse(add(inverse(add(inverse(add(inverse(add(inverse(inverse(X_12)),X_1)),X_12)),B)),inverse(X_12))),X_12)),inverse(add(inverse(X_8),inverse(add(X_8,X_9)))))))),X_8) )],[refute_0_69,refute_0_72]) ).
cnf(refute_0_74,plain,
inverse(add(inverse(add(X_12,X_8)),inverse(add(inverse(X_12),inverse(add(inverse(X_8),inverse(add(X_8,inverse(add(inverse(X_8),inverse(add(X_8,X_31)))))))))))) = X_8,
inference(subst,[],[refute_0_73:[bind(X_9,$fot(inverse(add(inverse(X_8),inverse(add(X_8,X_31))))))]]) ).
cnf(refute_0_75,plain,
( inverse(add(inverse(X_8),inverse(add(X_8,inverse(add(inverse(X_8),inverse(add(X_8,X_31)))))))) != X_8
| inverse(add(inverse(add(X_12,X_8)),inverse(add(inverse(X_12),inverse(add(inverse(X_8),inverse(add(X_8,inverse(add(inverse(X_8),inverse(add(X_8,X_31)))))))))))) != X_8
| inverse(add(inverse(add(X_12,X_8)),inverse(add(inverse(X_12),X_8)))) = X_8 ),
introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(add(X_12,X_8)),inverse(add(inverse(X_12),inverse(add(inverse(X_8),inverse(add(X_8,inverse(add(inverse(X_8),inverse(add(X_8,X_31)))))))))))),X_8) ),[0,0,1,0,1],$fot(X_8)]]) ).
cnf(refute_0_76,plain,
( inverse(add(inverse(add(X_12,X_8)),inverse(add(inverse(X_12),inverse(add(inverse(X_8),inverse(add(X_8,inverse(add(inverse(X_8),inverse(add(X_8,X_31)))))))))))) != X_8
| inverse(add(inverse(add(X_12,X_8)),inverse(add(inverse(X_12),X_8)))) = X_8 ),
inference(resolve,[$cnf( $equal(inverse(add(inverse(X_8),inverse(add(X_8,inverse(add(inverse(X_8),inverse(add(X_8,X_31)))))))),X_8) )],[refute_0_40,refute_0_75]) ).
cnf(refute_0_77,plain,
inverse(add(inverse(add(X_12,X_8)),inverse(add(inverse(X_12),X_8)))) = X_8,
inference(resolve,[$cnf( $equal(inverse(add(inverse(add(X_12,X_8)),inverse(add(inverse(X_12),inverse(add(inverse(X_8),inverse(add(X_8,inverse(add(inverse(X_8),inverse(add(X_8,X_31)))))))))))),X_8) )],[refute_0_74,refute_0_76]) ).
cnf(refute_0_78,plain,
inverse(add(inverse(add(X_41,X_42)),inverse(add(inverse(X_41),X_42)))) = X_42,
inference(subst,[],[refute_0_77:[bind(X_12,$fot(X_41)),bind(X_8,$fot(X_42))]]) ).
cnf(refute_0_79,plain,
( inverse(add(inverse(add(X_41,X_42)),inverse(add(inverse(X_41),X_42)))) != X_42
| inverse(add(inverse(add(inverse(add(X_41,X_42)),inverse(add(inverse(X_41),X_42)))),inverse(add(X_41,inverse(add(inverse(X_41),X_42)))))) != inverse(add(inverse(X_41),X_42))
| inverse(add(X_42,inverse(add(X_41,inverse(add(inverse(X_41),X_42)))))) = inverse(add(inverse(X_41),X_42)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(add(inverse(add(X_41,X_42)),inverse(add(inverse(X_41),X_42)))),inverse(add(X_41,inverse(add(inverse(X_41),X_42)))))),inverse(add(inverse(X_41),X_42))) ),[0,0,0],$fot(X_42)]]) ).
cnf(refute_0_80,plain,
( inverse(add(inverse(add(inverse(add(X_41,X_42)),inverse(add(inverse(X_41),X_42)))),inverse(add(X_41,inverse(add(inverse(X_41),X_42)))))) != inverse(add(inverse(X_41),X_42))
| inverse(add(X_42,inverse(add(X_41,inverse(add(inverse(X_41),X_42)))))) = inverse(add(inverse(X_41),X_42)) ),
inference(resolve,[$cnf( $equal(inverse(add(inverse(add(X_41,X_42)),inverse(add(inverse(X_41),X_42)))),X_42) )],[refute_0_78,refute_0_79]) ).
cnf(refute_0_81,plain,
inverse(add(X_42,inverse(add(X_41,inverse(add(inverse(X_41),X_42)))))) = inverse(add(inverse(X_41),X_42)),
inference(resolve,[$cnf( $equal(inverse(add(inverse(add(inverse(add(X_41,X_42)),inverse(add(inverse(X_41),X_42)))),inverse(add(X_41,inverse(add(inverse(X_41),X_42)))))),inverse(add(inverse(X_41),X_42))) )],[refute_0_68,refute_0_80]) ).
cnf(refute_0_82,plain,
inverse(add(inverse(C),inverse(add(C,inverse(add(inverse(C),inverse(C))))))) = inverse(add(inverse(C),inverse(C))),
inference(subst,[],[refute_0_81:[bind(X_41,$fot(C)),bind(X_42,$fot(inverse(C)))]]) ).
cnf(refute_0_83,plain,
( inverse(add(inverse(C),inverse(add(C,inverse(add(inverse(C),inverse(C))))))) != C
| inverse(add(inverse(C),inverse(add(C,inverse(add(inverse(C),inverse(C))))))) != inverse(add(inverse(C),inverse(C)))
| inverse(add(inverse(C),inverse(C))) = C ),
introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(C),inverse(add(C,inverse(add(inverse(C),inverse(C))))))),C) ),[0],$fot(inverse(add(inverse(C),inverse(C))))]]) ).
cnf(refute_0_84,plain,
( inverse(add(inverse(C),inverse(add(C,inverse(add(inverse(C),inverse(C))))))) != C
| inverse(add(inverse(C),inverse(C))) = C ),
inference(resolve,[$cnf( $equal(inverse(add(inverse(C),inverse(add(C,inverse(add(inverse(C),inverse(C))))))),inverse(add(inverse(C),inverse(C)))) )],[refute_0_82,refute_0_83]) ).
cnf(refute_0_85,plain,
inverse(add(inverse(C),inverse(C))) = C,
inference(resolve,[$cnf( $equal(inverse(add(inverse(C),inverse(add(C,inverse(add(inverse(C),inverse(C))))))),C) )],[refute_0_67,refute_0_84]) ).
cnf(refute_0_86,plain,
inverse(add(inverse(X_42),inverse(X_42))) = X_42,
inference(subst,[],[refute_0_85:[bind(C,$fot(X_42))]]) ).
cnf(refute_0_87,plain,
add(X_42,inverse(add(inverse(X_42),inverse(X_42)))) = add(X_42,inverse(add(inverse(X_42),inverse(X_42)))),
introduced(tautology,[refl,[$fot(add(X_42,inverse(add(inverse(X_42),inverse(X_42)))))]]) ).
cnf(refute_0_88,plain,
( add(X_42,inverse(add(inverse(X_42),inverse(X_42)))) != add(X_42,inverse(add(inverse(X_42),inverse(X_42))))
| inverse(add(inverse(X_42),inverse(X_42))) != X_42
| add(X_42,inverse(add(inverse(X_42),inverse(X_42)))) = add(X_42,X_42) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_42,inverse(add(inverse(X_42),inverse(X_42)))),add(X_42,inverse(add(inverse(X_42),inverse(X_42))))) ),[1,1],$fot(X_42)]]) ).
cnf(refute_0_89,plain,
( inverse(add(inverse(X_42),inverse(X_42))) != X_42
| add(X_42,inverse(add(inverse(X_42),inverse(X_42)))) = add(X_42,X_42) ),
inference(resolve,[$cnf( $equal(add(X_42,inverse(add(inverse(X_42),inverse(X_42)))),add(X_42,inverse(add(inverse(X_42),inverse(X_42))))) )],[refute_0_87,refute_0_88]) ).
cnf(refute_0_90,plain,
add(X_42,inverse(add(inverse(X_42),inverse(X_42)))) = add(X_42,X_42),
inference(resolve,[$cnf( $equal(inverse(add(inverse(X_42),inverse(X_42))),X_42) )],[refute_0_86,refute_0_89]) ).
cnf(refute_0_91,plain,
inverse(add(X_42,inverse(add(inverse(X_42),inverse(X_42))))) = inverse(add(X_42,inverse(add(inverse(X_42),inverse(X_42))))),
introduced(tautology,[refl,[$fot(inverse(add(X_42,inverse(add(inverse(X_42),inverse(X_42))))))]]) ).
cnf(refute_0_92,plain,
( add(X_42,inverse(add(inverse(X_42),inverse(X_42)))) != add(X_42,X_42)
| inverse(add(X_42,inverse(add(inverse(X_42),inverse(X_42))))) != inverse(add(X_42,inverse(add(inverse(X_42),inverse(X_42)))))
| inverse(add(X_42,inverse(add(inverse(X_42),inverse(X_42))))) = inverse(add(X_42,X_42)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(add(X_42,inverse(add(inverse(X_42),inverse(X_42))))),inverse(add(X_42,inverse(add(inverse(X_42),inverse(X_42)))))) ),[1,0],$fot(add(X_42,X_42))]]) ).
cnf(refute_0_93,plain,
( add(X_42,inverse(add(inverse(X_42),inverse(X_42)))) != add(X_42,X_42)
| inverse(add(X_42,inverse(add(inverse(X_42),inverse(X_42))))) = inverse(add(X_42,X_42)) ),
inference(resolve,[$cnf( $equal(inverse(add(X_42,inverse(add(inverse(X_42),inverse(X_42))))),inverse(add(X_42,inverse(add(inverse(X_42),inverse(X_42)))))) )],[refute_0_91,refute_0_92]) ).
cnf(refute_0_94,plain,
inverse(add(X_42,inverse(add(inverse(X_42),inverse(X_42))))) = inverse(add(X_42,X_42)),
inference(resolve,[$cnf( $equal(add(X_42,inverse(add(inverse(X_42),inverse(X_42)))),add(X_42,X_42)) )],[refute_0_90,refute_0_93]) ).
cnf(refute_0_95,plain,
( inverse(add(X_42,inverse(add(inverse(X_42),inverse(X_42))))) != inverse(X_42)
| inverse(add(X_42,inverse(add(inverse(X_42),inverse(X_42))))) != inverse(add(X_42,X_42))
| inverse(add(X_42,X_42)) = inverse(X_42) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(add(X_42,inverse(add(inverse(X_42),inverse(X_42))))),inverse(X_42)) ),[0],$fot(inverse(add(X_42,X_42)))]]) ).
cnf(refute_0_96,plain,
( inverse(add(X_42,inverse(add(inverse(X_42),inverse(X_42))))) != inverse(X_42)
| inverse(add(X_42,X_42)) = inverse(X_42) ),
inference(resolve,[$cnf( $equal(inverse(add(X_42,inverse(add(inverse(X_42),inverse(X_42))))),inverse(add(X_42,X_42))) )],[refute_0_94,refute_0_95]) ).
cnf(refute_0_97,plain,
inverse(add(X_42,X_42)) = inverse(X_42),
inference(resolve,[$cnf( $equal(inverse(add(X_42,inverse(add(inverse(X_42),inverse(X_42))))),inverse(X_42)) )],[refute_0_62,refute_0_96]) ).
cnf(refute_0_98,plain,
inverse(add(C,C)) = inverse(C),
inference(subst,[],[refute_0_97:[bind(X_42,$fot(C))]]) ).
cnf(refute_0_99,plain,
inverse(add(add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D))))))),add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D))))))))) = inverse(add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D)))))))),
inference(subst,[],[refute_0_97:[bind(X_42,$fot(add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D)))))))))]]) ).
cnf(refute_0_100,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_101,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_102,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_100,refute_0_101]) ).
cnf(refute_0_103,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_104,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_102,refute_0_103]) ).
cnf(refute_0_105,plain,
( inverse(add(add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D))))))),add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D))))))))) != inverse(add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D))))))))
| inverse(add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D)))))))) != C
| inverse(add(add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D))))))),add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D))))))))) = C ),
inference(subst,[],[refute_0_104:[bind(X,$fot(inverse(add(add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D))))))),add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D))))))))))),bind(Y,$fot(inverse(add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D)))))))))),bind(Z,$fot(C))]]) ).
cnf(refute_0_106,plain,
( inverse(add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D)))))))) != C
| inverse(add(add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D))))))),add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D))))))))) = C ),
inference(resolve,[$cnf( $equal(inverse(add(add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D))))))),add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D))))))))),inverse(add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D))))))))) )],[refute_0_99,refute_0_105]) ).
cnf(refute_0_107,plain,
inverse(add(add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D))))))),add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D))))))))) = C,
inference(resolve,[$cnf( $equal(inverse(add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D)))))))),C) )],[dn1,refute_0_106]) ).
cnf(refute_0_108,plain,
add(C,inverse(add(add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D))))))),add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D)))))))))) = add(C,inverse(add(add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D))))))),add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D)))))))))),
introduced(tautology,[refl,[$fot(add(C,inverse(add(add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D))))))),add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D)))))))))))]]) ).
cnf(refute_0_109,plain,
( add(C,inverse(add(add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D))))))),add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D)))))))))) != add(C,inverse(add(add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D))))))),add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D))))))))))
| inverse(add(add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D))))))),add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D))))))))) != C
| add(C,inverse(add(add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D))))))),add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D)))))))))) = add(C,C) ),
introduced(tautology,[equality,[$cnf( $equal(add(C,inverse(add(add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D))))))),add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D)))))))))),add(C,inverse(add(add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D))))))),add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D))))))))))) ),[1,1],$fot(C)]]) ).
cnf(refute_0_110,plain,
( inverse(add(add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D))))))),add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D))))))))) != C
| add(C,inverse(add(add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D))))))),add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D)))))))))) = add(C,C) ),
inference(resolve,[$cnf( $equal(add(C,inverse(add(add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D))))))),add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D)))))))))),add(C,inverse(add(add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D))))))),add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D))))))))))) )],[refute_0_108,refute_0_109]) ).
cnf(refute_0_111,plain,
add(C,inverse(add(add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D))))))),add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D)))))))))) = add(C,C),
inference(resolve,[$cnf( $equal(inverse(add(add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D))))))),add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D))))))))),C) )],[refute_0_107,refute_0_110]) ).
cnf(refute_0_112,plain,
inverse(add(C,inverse(add(add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D))))))),add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D))))))))))) = inverse(add(C,inverse(add(add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D))))))),add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D))))))))))),
introduced(tautology,[refl,[$fot(inverse(add(C,inverse(add(add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D))))))),add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D))))))))))))]]) ).
cnf(refute_0_113,plain,
( add(C,inverse(add(add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D))))))),add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D)))))))))) != add(C,C)
| inverse(add(C,inverse(add(add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D))))))),add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D))))))))))) != inverse(add(C,inverse(add(add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D))))))),add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D)))))))))))
| inverse(add(C,inverse(add(add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D))))))),add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D))))))))))) = inverse(add(C,C)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(add(C,inverse(add(add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D))))))),add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D))))))))))),inverse(add(C,inverse(add(add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D))))))),add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D)))))))))))) ),[1,0],$fot(add(C,C))]]) ).
cnf(refute_0_114,plain,
( add(C,inverse(add(add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D))))))),add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D)))))))))) != add(C,C)
| inverse(add(C,inverse(add(add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D))))))),add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D))))))))))) = inverse(add(C,C)) ),
inference(resolve,[$cnf( $equal(inverse(add(C,inverse(add(add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D))))))),add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D))))))))))),inverse(add(C,inverse(add(add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D))))))),add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D)))))))))))) )],[refute_0_112,refute_0_113]) ).
cnf(refute_0_115,plain,
inverse(add(C,inverse(add(add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D))))))),add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D))))))))))) = inverse(add(C,C)),
inference(resolve,[$cnf( $equal(add(C,inverse(add(add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D))))))),add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D)))))))))),add(C,C)) )],[refute_0_111,refute_0_114]) ).
cnf(refute_0_116,plain,
( inverse(add(C,C)) != inverse(C)
| inverse(add(C,inverse(add(add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D))))))),add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D))))))))))) != inverse(add(C,C))
| inverse(add(C,inverse(add(add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D))))))),add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D))))))))))) = inverse(C) ),
inference(subst,[],[refute_0_104:[bind(X,$fot(inverse(add(C,inverse(add(add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D))))))),add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D))))))))))))),bind(Y,$fot(inverse(add(C,C)))),bind(Z,$fot(inverse(C)))]]) ).
cnf(refute_0_117,plain,
( inverse(add(C,C)) != inverse(C)
| inverse(add(C,inverse(add(add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D))))))),add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D))))))))))) = inverse(C) ),
inference(resolve,[$cnf( $equal(inverse(add(C,inverse(add(add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D))))))),add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D))))))))))),inverse(add(C,C))) )],[refute_0_115,refute_0_116]) ).
cnf(refute_0_118,plain,
inverse(add(C,inverse(add(add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D))))))),add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D))))))))))) = inverse(C),
inference(resolve,[$cnf( $equal(inverse(add(C,C)),inverse(C)) )],[refute_0_98,refute_0_117]) ).
cnf(refute_0_119,plain,
( inverse(add(C,inverse(add(add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D))))))),add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D))))))))))) != add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D)))))))
| inverse(add(C,inverse(add(add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D))))))),add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D))))))))))) != inverse(C)
| inverse(C) = add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D))))))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(add(C,inverse(add(add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D))))))),add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D))))))))))),add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D)))))))) ),[0],$fot(inverse(C))]]) ).
cnf(refute_0_120,plain,
( inverse(add(C,inverse(add(add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D))))))),add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D))))))))))) != add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D)))))))
| inverse(C) = add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D))))))) ),
inference(resolve,[$cnf( $equal(inverse(add(C,inverse(add(add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D))))))),add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D))))))))))),inverse(C)) )],[refute_0_118,refute_0_119]) ).
cnf(refute_0_121,plain,
inverse(C) = add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D))))))),
inference(resolve,[$cnf( $equal(inverse(add(C,inverse(add(add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D))))))),add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D))))))))))),add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D)))))))) )],[refute_0_23,refute_0_120]) ).
cnf(refute_0_122,plain,
( inverse(C) != add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D)))))))
| add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D))))))) = inverse(C) ),
inference(subst,[],[refute_0_102:[bind(X,$fot(inverse(C))),bind(Y,$fot(add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D)))))))))]]) ).
cnf(refute_0_123,plain,
add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D))))))) = inverse(C),
inference(resolve,[$cnf( $equal(inverse(C),add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D)))))))) )],[refute_0_121,refute_0_122]) ).
cnf(refute_0_124,plain,
inverse(add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D)))))))) = inverse(add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D)))))))),
introduced(tautology,[refl,[$fot(inverse(add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D)))))))))]]) ).
cnf(refute_0_125,plain,
( add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D))))))) != inverse(C)
| inverse(add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D)))))))) != inverse(add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D))))))))
| inverse(add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D)))))))) = inverse(inverse(C)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D)))))))),inverse(add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D))))))))) ),[1,0],$fot(inverse(C))]]) ).
cnf(refute_0_126,plain,
( add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D))))))) != inverse(C)
| inverse(add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D)))))))) = inverse(inverse(C)) ),
inference(resolve,[$cnf( $equal(inverse(add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D)))))))),inverse(add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D))))))))) )],[refute_0_124,refute_0_125]) ).
cnf(refute_0_127,plain,
inverse(add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D)))))))) = inverse(inverse(C)),
inference(resolve,[$cnf( $equal(add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D))))))),inverse(C)) )],[refute_0_123,refute_0_126]) ).
cnf(refute_0_128,plain,
( inverse(add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D)))))))) != C
| inverse(add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D)))))))) != inverse(inverse(C))
| inverse(inverse(C)) = C ),
introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D)))))))),C) ),[0],$fot(inverse(inverse(C)))]]) ).
cnf(refute_0_129,plain,
( inverse(add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D)))))))) != C
| inverse(inverse(C)) = C ),
inference(resolve,[$cnf( $equal(inverse(add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D)))))))),inverse(inverse(C))) )],[refute_0_127,refute_0_128]) ).
cnf(refute_0_130,plain,
inverse(inverse(C)) = C,
inference(resolve,[$cnf( $equal(inverse(add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D)))))))),C) )],[dn1,refute_0_129]) ).
cnf(refute_0_131,plain,
inverse(inverse(add(X_243,X_242))) = add(X_243,X_242),
inference(subst,[],[refute_0_130:[bind(C,$fot(add(X_243,X_242)))]]) ).
cnf(refute_0_132,plain,
inverse(add(inverse(add(inverse(add(inverse(add(X_12,X_8)),X_42)),inverse(add(inverse(X_12),X_8)))),inverse(add(inverse(add(X_12,X_8)),inverse(add(inverse(X_12),X_8)))))) = inverse(add(inverse(X_12),X_8)),
inference(subst,[],[refute_0_27:[bind(A,$fot(inverse(add(X_12,X_8)))),bind(B,$fot(X_42)),bind(C,$fot(inverse(add(inverse(X_12),X_8))))]]) ).
cnf(refute_0_133,plain,
( inverse(add(inverse(add(X_12,X_8)),inverse(add(inverse(X_12),X_8)))) != X_8
| inverse(add(inverse(add(inverse(add(inverse(add(X_12,X_8)),X_42)),inverse(add(inverse(X_12),X_8)))),inverse(add(inverse(add(X_12,X_8)),inverse(add(inverse(X_12),X_8)))))) != inverse(add(inverse(X_12),X_8))
| inverse(add(inverse(add(inverse(add(inverse(add(X_12,X_8)),X_42)),inverse(add(inverse(X_12),X_8)))),X_8)) = inverse(add(inverse(X_12),X_8)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(add(inverse(add(inverse(add(X_12,X_8)),X_42)),inverse(add(inverse(X_12),X_8)))),inverse(add(inverse(add(X_12,X_8)),inverse(add(inverse(X_12),X_8)))))),inverse(add(inverse(X_12),X_8))) ),[0,0,1],$fot(X_8)]]) ).
cnf(refute_0_134,plain,
( inverse(add(inverse(add(inverse(add(inverse(add(X_12,X_8)),X_42)),inverse(add(inverse(X_12),X_8)))),inverse(add(inverse(add(X_12,X_8)),inverse(add(inverse(X_12),X_8)))))) != inverse(add(inverse(X_12),X_8))
| inverse(add(inverse(add(inverse(add(inverse(add(X_12,X_8)),X_42)),inverse(add(inverse(X_12),X_8)))),X_8)) = inverse(add(inverse(X_12),X_8)) ),
inference(resolve,[$cnf( $equal(inverse(add(inverse(add(X_12,X_8)),inverse(add(inverse(X_12),X_8)))),X_8) )],[refute_0_77,refute_0_133]) ).
cnf(refute_0_135,plain,
inverse(add(inverse(add(inverse(add(inverse(add(X_12,X_8)),X_42)),inverse(add(inverse(X_12),X_8)))),X_8)) = inverse(add(inverse(X_12),X_8)),
inference(resolve,[$cnf( $equal(inverse(add(inverse(add(inverse(add(inverse(add(X_12,X_8)),X_42)),inverse(add(inverse(X_12),X_8)))),inverse(add(inverse(add(X_12,X_8)),inverse(add(inverse(X_12),X_8)))))),inverse(add(inverse(X_12),X_8))) )],[refute_0_132,refute_0_134]) ).
cnf(refute_0_136,plain,
inverse(add(inverse(add(inverse(add(A,B)),inverse(add(inverse(A),B)))),inverse(add(A,inverse(add(inverse(inverse(add(inverse(A),B))),inverse(add(inverse(add(inverse(A),B)),D)))))))) = inverse(add(inverse(A),B)),
inference(subst,[],[dn1:[bind(C,$fot(inverse(add(inverse(A),B))))]]) ).
cnf(refute_0_137,plain,
inverse(add(inverse(add(A,B)),inverse(add(inverse(A),B)))) = B,
inference(subst,[],[refute_0_77:[bind(X_12,$fot(A)),bind(X_8,$fot(B))]]) ).
cnf(refute_0_138,plain,
( inverse(add(inverse(add(A,B)),inverse(add(inverse(A),B)))) != B
| inverse(add(inverse(add(inverse(add(A,B)),inverse(add(inverse(A),B)))),inverse(add(A,inverse(add(inverse(inverse(add(inverse(A),B))),inverse(add(inverse(add(inverse(A),B)),D)))))))) != inverse(add(inverse(A),B))
| inverse(add(B,inverse(add(A,inverse(add(inverse(inverse(add(inverse(A),B))),inverse(add(inverse(add(inverse(A),B)),D)))))))) = inverse(add(inverse(A),B)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(add(inverse(add(A,B)),inverse(add(inverse(A),B)))),inverse(add(A,inverse(add(inverse(inverse(add(inverse(A),B))),inverse(add(inverse(add(inverse(A),B)),D)))))))),inverse(add(inverse(A),B))) ),[0,0,0],$fot(B)]]) ).
cnf(refute_0_139,plain,
( inverse(add(inverse(add(inverse(add(A,B)),inverse(add(inverse(A),B)))),inverse(add(A,inverse(add(inverse(inverse(add(inverse(A),B))),inverse(add(inverse(add(inverse(A),B)),D)))))))) != inverse(add(inverse(A),B))
| inverse(add(B,inverse(add(A,inverse(add(inverse(inverse(add(inverse(A),B))),inverse(add(inverse(add(inverse(A),B)),D)))))))) = inverse(add(inverse(A),B)) ),
inference(resolve,[$cnf( $equal(inverse(add(inverse(add(A,B)),inverse(add(inverse(A),B)))),B) )],[refute_0_137,refute_0_138]) ).
cnf(refute_0_140,plain,
inverse(add(B,inverse(add(A,inverse(add(inverse(inverse(add(inverse(A),B))),inverse(add(inverse(add(inverse(A),B)),D)))))))) = inverse(add(inverse(A),B)),
inference(resolve,[$cnf( $equal(inverse(add(inverse(add(inverse(add(A,B)),inverse(add(inverse(A),B)))),inverse(add(A,inverse(add(inverse(inverse(add(inverse(A),B))),inverse(add(inverse(add(inverse(A),B)),D)))))))),inverse(add(inverse(A),B))) )],[refute_0_136,refute_0_139]) ).
cnf(refute_0_141,plain,
inverse(inverse(add(inverse(A),B))) = add(inverse(A),B),
inference(subst,[],[refute_0_130:[bind(C,$fot(add(inverse(A),B)))]]) ).
cnf(refute_0_142,plain,
add(inverse(inverse(add(inverse(A),B))),inverse(add(inverse(add(inverse(A),B)),D))) = add(inverse(inverse(add(inverse(A),B))),inverse(add(inverse(add(inverse(A),B)),D))),
introduced(tautology,[refl,[$fot(add(inverse(inverse(add(inverse(A),B))),inverse(add(inverse(add(inverse(A),B)),D))))]]) ).
cnf(refute_0_143,plain,
( add(inverse(inverse(add(inverse(A),B))),inverse(add(inverse(add(inverse(A),B)),D))) != add(inverse(inverse(add(inverse(A),B))),inverse(add(inverse(add(inverse(A),B)),D)))
| inverse(inverse(add(inverse(A),B))) != add(inverse(A),B)
| add(inverse(inverse(add(inverse(A),B))),inverse(add(inverse(add(inverse(A),B)),D))) = add(add(inverse(A),B),inverse(add(inverse(add(inverse(A),B)),D))) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(inverse(add(inverse(A),B))),inverse(add(inverse(add(inverse(A),B)),D))),add(inverse(inverse(add(inverse(A),B))),inverse(add(inverse(add(inverse(A),B)),D)))) ),[1,0],$fot(add(inverse(A),B))]]) ).
cnf(refute_0_144,plain,
( inverse(inverse(add(inverse(A),B))) != add(inverse(A),B)
| add(inverse(inverse(add(inverse(A),B))),inverse(add(inverse(add(inverse(A),B)),D))) = add(add(inverse(A),B),inverse(add(inverse(add(inverse(A),B)),D))) ),
inference(resolve,[$cnf( $equal(add(inverse(inverse(add(inverse(A),B))),inverse(add(inverse(add(inverse(A),B)),D))),add(inverse(inverse(add(inverse(A),B))),inverse(add(inverse(add(inverse(A),B)),D)))) )],[refute_0_142,refute_0_143]) ).
cnf(refute_0_145,plain,
add(inverse(inverse(add(inverse(A),B))),inverse(add(inverse(add(inverse(A),B)),D))) = add(add(inverse(A),B),inverse(add(inverse(add(inverse(A),B)),D))),
inference(resolve,[$cnf( $equal(inverse(inverse(add(inverse(A),B))),add(inverse(A),B)) )],[refute_0_141,refute_0_144]) ).
cnf(refute_0_146,plain,
inverse(add(inverse(inverse(add(inverse(A),B))),inverse(add(inverse(add(inverse(A),B)),D)))) = inverse(add(inverse(inverse(add(inverse(A),B))),inverse(add(inverse(add(inverse(A),B)),D)))),
introduced(tautology,[refl,[$fot(inverse(add(inverse(inverse(add(inverse(A),B))),inverse(add(inverse(add(inverse(A),B)),D)))))]]) ).
cnf(refute_0_147,plain,
( add(inverse(inverse(add(inverse(A),B))),inverse(add(inverse(add(inverse(A),B)),D))) != add(add(inverse(A),B),inverse(add(inverse(add(inverse(A),B)),D)))
| inverse(add(inverse(inverse(add(inverse(A),B))),inverse(add(inverse(add(inverse(A),B)),D)))) != inverse(add(inverse(inverse(add(inverse(A),B))),inverse(add(inverse(add(inverse(A),B)),D))))
| inverse(add(inverse(inverse(add(inverse(A),B))),inverse(add(inverse(add(inverse(A),B)),D)))) = inverse(add(add(inverse(A),B),inverse(add(inverse(add(inverse(A),B)),D)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(inverse(add(inverse(A),B))),inverse(add(inverse(add(inverse(A),B)),D)))),inverse(add(inverse(inverse(add(inverse(A),B))),inverse(add(inverse(add(inverse(A),B)),D))))) ),[1,0],$fot(add(add(inverse(A),B),inverse(add(inverse(add(inverse(A),B)),D))))]]) ).
cnf(refute_0_148,plain,
( add(inverse(inverse(add(inverse(A),B))),inverse(add(inverse(add(inverse(A),B)),D))) != add(add(inverse(A),B),inverse(add(inverse(add(inverse(A),B)),D)))
| inverse(add(inverse(inverse(add(inverse(A),B))),inverse(add(inverse(add(inverse(A),B)),D)))) = inverse(add(add(inverse(A),B),inverse(add(inverse(add(inverse(A),B)),D)))) ),
inference(resolve,[$cnf( $equal(inverse(add(inverse(inverse(add(inverse(A),B))),inverse(add(inverse(add(inverse(A),B)),D)))),inverse(add(inverse(inverse(add(inverse(A),B))),inverse(add(inverse(add(inverse(A),B)),D))))) )],[refute_0_146,refute_0_147]) ).
cnf(refute_0_149,plain,
inverse(add(inverse(inverse(add(inverse(A),B))),inverse(add(inverse(add(inverse(A),B)),D)))) = inverse(add(add(inverse(A),B),inverse(add(inverse(add(inverse(A),B)),D)))),
inference(resolve,[$cnf( $equal(add(inverse(inverse(add(inverse(A),B))),inverse(add(inverse(add(inverse(A),B)),D))),add(add(inverse(A),B),inverse(add(inverse(add(inverse(A),B)),D)))) )],[refute_0_145,refute_0_148]) ).
cnf(refute_0_150,plain,
add(A,inverse(add(inverse(inverse(add(inverse(A),B))),inverse(add(inverse(add(inverse(A),B)),D))))) = add(A,inverse(add(inverse(inverse(add(inverse(A),B))),inverse(add(inverse(add(inverse(A),B)),D))))),
introduced(tautology,[refl,[$fot(add(A,inverse(add(inverse(inverse(add(inverse(A),B))),inverse(add(inverse(add(inverse(A),B)),D))))))]]) ).
cnf(refute_0_151,plain,
( add(A,inverse(add(inverse(inverse(add(inverse(A),B))),inverse(add(inverse(add(inverse(A),B)),D))))) != add(A,inverse(add(inverse(inverse(add(inverse(A),B))),inverse(add(inverse(add(inverse(A),B)),D)))))
| inverse(add(inverse(inverse(add(inverse(A),B))),inverse(add(inverse(add(inverse(A),B)),D)))) != inverse(add(add(inverse(A),B),inverse(add(inverse(add(inverse(A),B)),D))))
| add(A,inverse(add(inverse(inverse(add(inverse(A),B))),inverse(add(inverse(add(inverse(A),B)),D))))) = add(A,inverse(add(add(inverse(A),B),inverse(add(inverse(add(inverse(A),B)),D))))) ),
introduced(tautology,[equality,[$cnf( $equal(add(A,inverse(add(inverse(inverse(add(inverse(A),B))),inverse(add(inverse(add(inverse(A),B)),D))))),add(A,inverse(add(inverse(inverse(add(inverse(A),B))),inverse(add(inverse(add(inverse(A),B)),D)))))) ),[1,1],$fot(inverse(add(add(inverse(A),B),inverse(add(inverse(add(inverse(A),B)),D)))))]]) ).
cnf(refute_0_152,plain,
( inverse(add(inverse(inverse(add(inverse(A),B))),inverse(add(inverse(add(inverse(A),B)),D)))) != inverse(add(add(inverse(A),B),inverse(add(inverse(add(inverse(A),B)),D))))
| add(A,inverse(add(inverse(inverse(add(inverse(A),B))),inverse(add(inverse(add(inverse(A),B)),D))))) = add(A,inverse(add(add(inverse(A),B),inverse(add(inverse(add(inverse(A),B)),D))))) ),
inference(resolve,[$cnf( $equal(add(A,inverse(add(inverse(inverse(add(inverse(A),B))),inverse(add(inverse(add(inverse(A),B)),D))))),add(A,inverse(add(inverse(inverse(add(inverse(A),B))),inverse(add(inverse(add(inverse(A),B)),D)))))) )],[refute_0_150,refute_0_151]) ).
cnf(refute_0_153,plain,
add(A,inverse(add(inverse(inverse(add(inverse(A),B))),inverse(add(inverse(add(inverse(A),B)),D))))) = add(A,inverse(add(add(inverse(A),B),inverse(add(inverse(add(inverse(A),B)),D))))),
inference(resolve,[$cnf( $equal(inverse(add(inverse(inverse(add(inverse(A),B))),inverse(add(inverse(add(inverse(A),B)),D)))),inverse(add(add(inverse(A),B),inverse(add(inverse(add(inverse(A),B)),D))))) )],[refute_0_149,refute_0_152]) ).
cnf(refute_0_154,plain,
inverse(add(A,inverse(add(inverse(inverse(add(inverse(A),B))),inverse(add(inverse(add(inverse(A),B)),D)))))) = inverse(add(A,inverse(add(inverse(inverse(add(inverse(A),B))),inverse(add(inverse(add(inverse(A),B)),D)))))),
introduced(tautology,[refl,[$fot(inverse(add(A,inverse(add(inverse(inverse(add(inverse(A),B))),inverse(add(inverse(add(inverse(A),B)),D)))))))]]) ).
cnf(refute_0_155,plain,
( add(A,inverse(add(inverse(inverse(add(inverse(A),B))),inverse(add(inverse(add(inverse(A),B)),D))))) != add(A,inverse(add(add(inverse(A),B),inverse(add(inverse(add(inverse(A),B)),D)))))
| inverse(add(A,inverse(add(inverse(inverse(add(inverse(A),B))),inverse(add(inverse(add(inverse(A),B)),D)))))) != inverse(add(A,inverse(add(inverse(inverse(add(inverse(A),B))),inverse(add(inverse(add(inverse(A),B)),D))))))
| inverse(add(A,inverse(add(inverse(inverse(add(inverse(A),B))),inverse(add(inverse(add(inverse(A),B)),D)))))) = inverse(add(A,inverse(add(add(inverse(A),B),inverse(add(inverse(add(inverse(A),B)),D)))))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(add(A,inverse(add(inverse(inverse(add(inverse(A),B))),inverse(add(inverse(add(inverse(A),B)),D)))))),inverse(add(A,inverse(add(inverse(inverse(add(inverse(A),B))),inverse(add(inverse(add(inverse(A),B)),D))))))) ),[1,0],$fot(add(A,inverse(add(add(inverse(A),B),inverse(add(inverse(add(inverse(A),B)),D))))))]]) ).
cnf(refute_0_156,plain,
( add(A,inverse(add(inverse(inverse(add(inverse(A),B))),inverse(add(inverse(add(inverse(A),B)),D))))) != add(A,inverse(add(add(inverse(A),B),inverse(add(inverse(add(inverse(A),B)),D)))))
| inverse(add(A,inverse(add(inverse(inverse(add(inverse(A),B))),inverse(add(inverse(add(inverse(A),B)),D)))))) = inverse(add(A,inverse(add(add(inverse(A),B),inverse(add(inverse(add(inverse(A),B)),D)))))) ),
inference(resolve,[$cnf( $equal(inverse(add(A,inverse(add(inverse(inverse(add(inverse(A),B))),inverse(add(inverse(add(inverse(A),B)),D)))))),inverse(add(A,inverse(add(inverse(inverse(add(inverse(A),B))),inverse(add(inverse(add(inverse(A),B)),D))))))) )],[refute_0_154,refute_0_155]) ).
cnf(refute_0_157,plain,
inverse(add(A,inverse(add(inverse(inverse(add(inverse(A),B))),inverse(add(inverse(add(inverse(A),B)),D)))))) = inverse(add(A,inverse(add(add(inverse(A),B),inverse(add(inverse(add(inverse(A),B)),D)))))),
inference(resolve,[$cnf( $equal(add(A,inverse(add(inverse(inverse(add(inverse(A),B))),inverse(add(inverse(add(inverse(A),B)),D))))),add(A,inverse(add(add(inverse(A),B),inverse(add(inverse(add(inverse(A),B)),D)))))) )],[refute_0_153,refute_0_156]) ).
cnf(refute_0_158,plain,
add(B,inverse(add(A,inverse(add(inverse(inverse(add(inverse(A),B))),inverse(add(inverse(add(inverse(A),B)),D))))))) = add(B,inverse(add(A,inverse(add(inverse(inverse(add(inverse(A),B))),inverse(add(inverse(add(inverse(A),B)),D))))))),
introduced(tautology,[refl,[$fot(add(B,inverse(add(A,inverse(add(inverse(inverse(add(inverse(A),B))),inverse(add(inverse(add(inverse(A),B)),D))))))))]]) ).
cnf(refute_0_159,plain,
( add(B,inverse(add(A,inverse(add(inverse(inverse(add(inverse(A),B))),inverse(add(inverse(add(inverse(A),B)),D))))))) != add(B,inverse(add(A,inverse(add(inverse(inverse(add(inverse(A),B))),inverse(add(inverse(add(inverse(A),B)),D)))))))
| inverse(add(A,inverse(add(inverse(inverse(add(inverse(A),B))),inverse(add(inverse(add(inverse(A),B)),D)))))) != inverse(add(A,inverse(add(add(inverse(A),B),inverse(add(inverse(add(inverse(A),B)),D))))))
| add(B,inverse(add(A,inverse(add(inverse(inverse(add(inverse(A),B))),inverse(add(inverse(add(inverse(A),B)),D))))))) = add(B,inverse(add(A,inverse(add(add(inverse(A),B),inverse(add(inverse(add(inverse(A),B)),D))))))) ),
introduced(tautology,[equality,[$cnf( $equal(add(B,inverse(add(A,inverse(add(inverse(inverse(add(inverse(A),B))),inverse(add(inverse(add(inverse(A),B)),D))))))),add(B,inverse(add(A,inverse(add(inverse(inverse(add(inverse(A),B))),inverse(add(inverse(add(inverse(A),B)),D)))))))) ),[1,1],$fot(inverse(add(A,inverse(add(add(inverse(A),B),inverse(add(inverse(add(inverse(A),B)),D)))))))]]) ).
cnf(refute_0_160,plain,
( inverse(add(A,inverse(add(inverse(inverse(add(inverse(A),B))),inverse(add(inverse(add(inverse(A),B)),D)))))) != inverse(add(A,inverse(add(add(inverse(A),B),inverse(add(inverse(add(inverse(A),B)),D))))))
| add(B,inverse(add(A,inverse(add(inverse(inverse(add(inverse(A),B))),inverse(add(inverse(add(inverse(A),B)),D))))))) = add(B,inverse(add(A,inverse(add(add(inverse(A),B),inverse(add(inverse(add(inverse(A),B)),D))))))) ),
inference(resolve,[$cnf( $equal(add(B,inverse(add(A,inverse(add(inverse(inverse(add(inverse(A),B))),inverse(add(inverse(add(inverse(A),B)),D))))))),add(B,inverse(add(A,inverse(add(inverse(inverse(add(inverse(A),B))),inverse(add(inverse(add(inverse(A),B)),D)))))))) )],[refute_0_158,refute_0_159]) ).
cnf(refute_0_161,plain,
add(B,inverse(add(A,inverse(add(inverse(inverse(add(inverse(A),B))),inverse(add(inverse(add(inverse(A),B)),D))))))) = add(B,inverse(add(A,inverse(add(add(inverse(A),B),inverse(add(inverse(add(inverse(A),B)),D))))))),
inference(resolve,[$cnf( $equal(inverse(add(A,inverse(add(inverse(inverse(add(inverse(A),B))),inverse(add(inverse(add(inverse(A),B)),D)))))),inverse(add(A,inverse(add(add(inverse(A),B),inverse(add(inverse(add(inverse(A),B)),D))))))) )],[refute_0_157,refute_0_160]) ).
cnf(refute_0_162,plain,
inverse(add(B,inverse(add(A,inverse(add(inverse(inverse(add(inverse(A),B))),inverse(add(inverse(add(inverse(A),B)),D)))))))) = inverse(add(B,inverse(add(A,inverse(add(inverse(inverse(add(inverse(A),B))),inverse(add(inverse(add(inverse(A),B)),D)))))))),
introduced(tautology,[refl,[$fot(inverse(add(B,inverse(add(A,inverse(add(inverse(inverse(add(inverse(A),B))),inverse(add(inverse(add(inverse(A),B)),D)))))))))]]) ).
cnf(refute_0_163,plain,
( add(B,inverse(add(A,inverse(add(inverse(inverse(add(inverse(A),B))),inverse(add(inverse(add(inverse(A),B)),D))))))) != add(B,inverse(add(A,inverse(add(add(inverse(A),B),inverse(add(inverse(add(inverse(A),B)),D)))))))
| inverse(add(B,inverse(add(A,inverse(add(inverse(inverse(add(inverse(A),B))),inverse(add(inverse(add(inverse(A),B)),D)))))))) != inverse(add(B,inverse(add(A,inverse(add(inverse(inverse(add(inverse(A),B))),inverse(add(inverse(add(inverse(A),B)),D))))))))
| inverse(add(B,inverse(add(A,inverse(add(inverse(inverse(add(inverse(A),B))),inverse(add(inverse(add(inverse(A),B)),D)))))))) = inverse(add(B,inverse(add(A,inverse(add(add(inverse(A),B),inverse(add(inverse(add(inverse(A),B)),D)))))))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(add(B,inverse(add(A,inverse(add(inverse(inverse(add(inverse(A),B))),inverse(add(inverse(add(inverse(A),B)),D)))))))),inverse(add(B,inverse(add(A,inverse(add(inverse(inverse(add(inverse(A),B))),inverse(add(inverse(add(inverse(A),B)),D))))))))) ),[1,0],$fot(add(B,inverse(add(A,inverse(add(add(inverse(A),B),inverse(add(inverse(add(inverse(A),B)),D))))))))]]) ).
cnf(refute_0_164,plain,
( add(B,inverse(add(A,inverse(add(inverse(inverse(add(inverse(A),B))),inverse(add(inverse(add(inverse(A),B)),D))))))) != add(B,inverse(add(A,inverse(add(add(inverse(A),B),inverse(add(inverse(add(inverse(A),B)),D)))))))
| inverse(add(B,inverse(add(A,inverse(add(inverse(inverse(add(inverse(A),B))),inverse(add(inverse(add(inverse(A),B)),D)))))))) = inverse(add(B,inverse(add(A,inverse(add(add(inverse(A),B),inverse(add(inverse(add(inverse(A),B)),D)))))))) ),
inference(resolve,[$cnf( $equal(inverse(add(B,inverse(add(A,inverse(add(inverse(inverse(add(inverse(A),B))),inverse(add(inverse(add(inverse(A),B)),D)))))))),inverse(add(B,inverse(add(A,inverse(add(inverse(inverse(add(inverse(A),B))),inverse(add(inverse(add(inverse(A),B)),D))))))))) )],[refute_0_162,refute_0_163]) ).
cnf(refute_0_165,plain,
inverse(add(B,inverse(add(A,inverse(add(inverse(inverse(add(inverse(A),B))),inverse(add(inverse(add(inverse(A),B)),D)))))))) = inverse(add(B,inverse(add(A,inverse(add(add(inverse(A),B),inverse(add(inverse(add(inverse(A),B)),D)))))))),
inference(resolve,[$cnf( $equal(add(B,inverse(add(A,inverse(add(inverse(inverse(add(inverse(A),B))),inverse(add(inverse(add(inverse(A),B)),D))))))),add(B,inverse(add(A,inverse(add(add(inverse(A),B),inverse(add(inverse(add(inverse(A),B)),D)))))))) )],[refute_0_161,refute_0_164]) ).
cnf(refute_0_166,plain,
( inverse(add(B,inverse(add(A,inverse(add(inverse(inverse(add(inverse(A),B))),inverse(add(inverse(add(inverse(A),B)),D)))))))) != inverse(add(B,inverse(add(A,inverse(add(add(inverse(A),B),inverse(add(inverse(add(inverse(A),B)),D))))))))
| inverse(add(B,inverse(add(A,inverse(add(inverse(inverse(add(inverse(A),B))),inverse(add(inverse(add(inverse(A),B)),D)))))))) != inverse(add(inverse(A),B))
| inverse(add(B,inverse(add(A,inverse(add(add(inverse(A),B),inverse(add(inverse(add(inverse(A),B)),D)))))))) = inverse(add(inverse(A),B)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(add(B,inverse(add(A,inverse(add(inverse(inverse(add(inverse(A),B))),inverse(add(inverse(add(inverse(A),B)),D)))))))),inverse(add(inverse(A),B))) ),[0],$fot(inverse(add(B,inverse(add(A,inverse(add(add(inverse(A),B),inverse(add(inverse(add(inverse(A),B)),D)))))))))]]) ).
cnf(refute_0_167,plain,
( inverse(add(B,inverse(add(A,inverse(add(inverse(inverse(add(inverse(A),B))),inverse(add(inverse(add(inverse(A),B)),D)))))))) != inverse(add(inverse(A),B))
| inverse(add(B,inverse(add(A,inverse(add(add(inverse(A),B),inverse(add(inverse(add(inverse(A),B)),D)))))))) = inverse(add(inverse(A),B)) ),
inference(resolve,[$cnf( $equal(inverse(add(B,inverse(add(A,inverse(add(inverse(inverse(add(inverse(A),B))),inverse(add(inverse(add(inverse(A),B)),D)))))))),inverse(add(B,inverse(add(A,inverse(add(add(inverse(A),B),inverse(add(inverse(add(inverse(A),B)),D))))))))) )],[refute_0_165,refute_0_166]) ).
cnf(refute_0_168,plain,
inverse(add(B,inverse(add(A,inverse(add(add(inverse(A),B),inverse(add(inverse(add(inverse(A),B)),D)))))))) = inverse(add(inverse(A),B)),
inference(resolve,[$cnf( $equal(inverse(add(B,inverse(add(A,inverse(add(inverse(inverse(add(inverse(A),B))),inverse(add(inverse(add(inverse(A),B)),D)))))))),inverse(add(inverse(A),B))) )],[refute_0_140,refute_0_167]) ).
cnf(refute_0_169,plain,
inverse(inverse(add(inverse(add(X_79,X_78)),inverse(add(inverse(add(X_80,X_79)),X_78))))) = add(inverse(add(X_79,X_78)),inverse(add(inverse(add(X_80,X_79)),X_78))),
inference(subst,[],[refute_0_130:[bind(C,$fot(add(inverse(add(X_79,X_78)),inverse(add(inverse(add(X_80,X_79)),X_78)))))]]) ).
cnf(refute_0_170,plain,
inverse(add(inverse(add(X_2,C)),inverse(add(inverse(add(inverse(add(inverse(add(X_12,X_8)),inverse(add(inverse(add(inverse(add(X_10,X_11)),X_12)),inverse(add(inverse(X_8),inverse(add(X_8,X_9)))))))),X_2)),inverse(add(inverse(C),inverse(add(C,D)))))))) = C,
inference(subst,[],[refute_0_33:[bind(X_0,$fot(inverse(add(X_12,X_8)))),bind(X_1,$fot(inverse(add(inverse(add(inverse(add(X_10,X_11)),X_12)),inverse(add(inverse(X_8),inverse(add(X_8,X_9))))))))]]) ).
cnf(refute_0_171,plain,
inverse(add(inverse(add(X_12,X_8)),inverse(add(inverse(add(inverse(add(X_10,X_11)),X_12)),inverse(add(inverse(X_8),inverse(add(X_8,X_9)))))))) = X_8,
inference(subst,[],[refute_0_33:[bind(C,$fot(X_8)),bind(D,$fot(X_9)),bind(X_0,$fot(X_10)),bind(X_1,$fot(X_11)),bind(X_2,$fot(X_12))]]) ).
cnf(refute_0_172,plain,
( inverse(add(inverse(add(X_12,X_8)),inverse(add(inverse(add(inverse(add(X_10,X_11)),X_12)),inverse(add(inverse(X_8),inverse(add(X_8,X_9)))))))) != X_8
| inverse(add(inverse(add(X_2,C)),inverse(add(inverse(add(inverse(add(inverse(add(X_12,X_8)),inverse(add(inverse(add(inverse(add(X_10,X_11)),X_12)),inverse(add(inverse(X_8),inverse(add(X_8,X_9)))))))),X_2)),inverse(add(inverse(C),inverse(add(C,D)))))))) != C
| inverse(add(inverse(add(X_2,C)),inverse(add(inverse(add(X_8,X_2)),inverse(add(inverse(C),inverse(add(C,D)))))))) = C ),
introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(add(X_2,C)),inverse(add(inverse(add(inverse(add(inverse(add(X_12,X_8)),inverse(add(inverse(add(inverse(add(X_10,X_11)),X_12)),inverse(add(inverse(X_8),inverse(add(X_8,X_9)))))))),X_2)),inverse(add(inverse(C),inverse(add(C,D)))))))),C) ),[0,0,1,0,0,0,0],$fot(X_8)]]) ).
cnf(refute_0_173,plain,
( inverse(add(inverse(add(X_2,C)),inverse(add(inverse(add(inverse(add(inverse(add(X_12,X_8)),inverse(add(inverse(add(inverse(add(X_10,X_11)),X_12)),inverse(add(inverse(X_8),inverse(add(X_8,X_9)))))))),X_2)),inverse(add(inverse(C),inverse(add(C,D)))))))) != C
| inverse(add(inverse(add(X_2,C)),inverse(add(inverse(add(X_8,X_2)),inverse(add(inverse(C),inverse(add(C,D)))))))) = C ),
inference(resolve,[$cnf( $equal(inverse(add(inverse(add(X_12,X_8)),inverse(add(inverse(add(inverse(add(X_10,X_11)),X_12)),inverse(add(inverse(X_8),inverse(add(X_8,X_9)))))))),X_8) )],[refute_0_171,refute_0_172]) ).
cnf(refute_0_174,plain,
inverse(add(inverse(add(X_2,C)),inverse(add(inverse(add(X_8,X_2)),inverse(add(inverse(C),inverse(add(C,D)))))))) = C,
inference(resolve,[$cnf( $equal(inverse(add(inverse(add(X_2,C)),inverse(add(inverse(add(inverse(add(inverse(add(X_12,X_8)),inverse(add(inverse(add(inverse(add(X_10,X_11)),X_12)),inverse(add(inverse(X_8),inverse(add(X_8,X_9)))))))),X_2)),inverse(add(inverse(C),inverse(add(C,D)))))))),C) )],[refute_0_170,refute_0_173]) ).
cnf(refute_0_175,plain,
inverse(add(inverse(add(X_2,C)),inverse(add(inverse(add(X_8,X_2)),inverse(add(inverse(C),inverse(add(C,inverse(add(inverse(C),inverse(add(C,X_31)))))))))))) = C,
inference(subst,[],[refute_0_174:[bind(D,$fot(inverse(add(inverse(C),inverse(add(C,X_31))))))]]) ).
cnf(refute_0_176,plain,
( inverse(add(inverse(C),inverse(add(C,inverse(add(inverse(C),inverse(add(C,X_31)))))))) != C
| inverse(add(inverse(add(X_2,C)),inverse(add(inverse(add(X_8,X_2)),inverse(add(inverse(C),inverse(add(C,inverse(add(inverse(C),inverse(add(C,X_31)))))))))))) != C
| inverse(add(inverse(add(X_2,C)),inverse(add(inverse(add(X_8,X_2)),C)))) = C ),
introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(add(X_2,C)),inverse(add(inverse(add(X_8,X_2)),inverse(add(inverse(C),inverse(add(C,inverse(add(inverse(C),inverse(add(C,X_31)))))))))))),C) ),[0,0,1,0,1],$fot(C)]]) ).
cnf(refute_0_177,plain,
( inverse(add(inverse(add(X_2,C)),inverse(add(inverse(add(X_8,X_2)),inverse(add(inverse(C),inverse(add(C,inverse(add(inverse(C),inverse(add(C,X_31)))))))))))) != C
| inverse(add(inverse(add(X_2,C)),inverse(add(inverse(add(X_8,X_2)),C)))) = C ),
inference(resolve,[$cnf( $equal(inverse(add(inverse(C),inverse(add(C,inverse(add(inverse(C),inverse(add(C,X_31)))))))),C) )],[refute_0_16,refute_0_176]) ).
cnf(refute_0_178,plain,
inverse(add(inverse(add(X_2,C)),inverse(add(inverse(add(X_8,X_2)),C)))) = C,
inference(resolve,[$cnf( $equal(inverse(add(inverse(add(X_2,C)),inverse(add(inverse(add(X_8,X_2)),inverse(add(inverse(C),inverse(add(C,inverse(add(inverse(C),inverse(add(C,X_31)))))))))))),C) )],[refute_0_175,refute_0_177]) ).
cnf(refute_0_179,plain,
inverse(add(inverse(add(X_79,X_78)),inverse(add(inverse(add(X_80,X_79)),X_78)))) = X_78,
inference(subst,[],[refute_0_178:[bind(C,$fot(X_78)),bind(X_2,$fot(X_79)),bind(X_8,$fot(X_80))]]) ).
cnf(refute_0_180,plain,
( inverse(add(inverse(add(X_79,X_78)),inverse(add(inverse(add(X_80,X_79)),X_78)))) != X_78
| inverse(inverse(add(inverse(add(X_79,X_78)),inverse(add(inverse(add(X_80,X_79)),X_78))))) != add(inverse(add(X_79,X_78)),inverse(add(inverse(add(X_80,X_79)),X_78)))
| inverse(X_78) = add(inverse(add(X_79,X_78)),inverse(add(inverse(add(X_80,X_79)),X_78))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(add(inverse(add(X_79,X_78)),inverse(add(inverse(add(X_80,X_79)),X_78))))),add(inverse(add(X_79,X_78)),inverse(add(inverse(add(X_80,X_79)),X_78)))) ),[0,0],$fot(X_78)]]) ).
cnf(refute_0_181,plain,
( inverse(inverse(add(inverse(add(X_79,X_78)),inverse(add(inverse(add(X_80,X_79)),X_78))))) != add(inverse(add(X_79,X_78)),inverse(add(inverse(add(X_80,X_79)),X_78)))
| inverse(X_78) = add(inverse(add(X_79,X_78)),inverse(add(inverse(add(X_80,X_79)),X_78))) ),
inference(resolve,[$cnf( $equal(inverse(add(inverse(add(X_79,X_78)),inverse(add(inverse(add(X_80,X_79)),X_78)))),X_78) )],[refute_0_179,refute_0_180]) ).
cnf(refute_0_182,plain,
inverse(X_78) = add(inverse(add(X_79,X_78)),inverse(add(inverse(add(X_80,X_79)),X_78))),
inference(resolve,[$cnf( $equal(inverse(inverse(add(inverse(add(X_79,X_78)),inverse(add(inverse(add(X_80,X_79)),X_78))))),add(inverse(add(X_79,X_78)),inverse(add(inverse(add(X_80,X_79)),X_78)))) )],[refute_0_169,refute_0_181]) ).
cnf(refute_0_183,plain,
inverse(inverse(add(X_79,add(X_80,X_79)))) = add(inverse(add(X_79,inverse(add(X_79,add(X_80,X_79))))),inverse(add(inverse(add(X_80,X_79)),inverse(add(X_79,add(X_80,X_79)))))),
inference(subst,[],[refute_0_182:[bind(X_78,$fot(inverse(add(X_79,add(X_80,X_79)))))]]) ).
cnf(refute_0_184,plain,
inverse(add(inverse(add(inverse(add(inverse(add(X_0,X_1)),B)),inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))))),inverse(add(inverse(add(X_0,X_1)),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))))))) = inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),
inference(subst,[],[dn1:[bind(A,$fot(inverse(add(X_0,X_1)))),bind(C,$fot(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))))]]) ).
cnf(refute_0_185,plain,
inverse(add(inverse(add(inverse(add(X_0,X_1)),B)),inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))))) = B,
inference(subst,[],[dn1:[bind(A,$fot(X_0)),bind(B,$fot(X_1)),bind(C,$fot(B)),bind(D,$fot(X_3))]]) ).
cnf(refute_0_186,plain,
( inverse(add(inverse(add(inverse(add(X_0,X_1)),B)),inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))))) != B
| inverse(add(inverse(add(inverse(add(inverse(add(X_0,X_1)),B)),inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))))),inverse(add(inverse(add(X_0,X_1)),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))))))) != inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))
| inverse(add(B,inverse(add(inverse(add(X_0,X_1)),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))))))) = inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(add(inverse(add(inverse(add(X_0,X_1)),B)),inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))))),inverse(add(inverse(add(X_0,X_1)),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))))))),inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))) ),[0,0,0],$fot(B)]]) ).
cnf(refute_0_187,plain,
( inverse(add(inverse(add(inverse(add(inverse(add(X_0,X_1)),B)),inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))))),inverse(add(inverse(add(X_0,X_1)),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))))))) != inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))
| inverse(add(B,inverse(add(inverse(add(X_0,X_1)),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))))))) = inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))) ),
inference(resolve,[$cnf( $equal(inverse(add(inverse(add(inverse(add(X_0,X_1)),B)),inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))))),B) )],[refute_0_185,refute_0_186]) ).
cnf(refute_0_188,plain,
inverse(add(B,inverse(add(inverse(add(X_0,X_1)),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))))))) = inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),
inference(resolve,[$cnf( $equal(inverse(add(inverse(add(inverse(add(inverse(add(X_0,X_1)),B)),inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))))),inverse(add(inverse(add(X_0,X_1)),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))))))),inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))) )],[refute_0_184,refute_0_187]) ).
cnf(refute_0_189,plain,
inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))) = add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))),
inference(subst,[],[refute_0_130:[bind(C,$fot(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))))]]) ).
cnf(refute_0_190,plain,
add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D))) = add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D))),
introduced(tautology,[refl,[$fot(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D))))]]) ).
cnf(refute_0_191,plain,
( add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D))) != add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))
| inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))) != add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))
| add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D))) = add(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D))) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D))),add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))) ),[1,0],$fot(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))]]) ).
cnf(refute_0_192,plain,
( inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))) != add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))
| add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D))) = add(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D))) ),
inference(resolve,[$cnf( $equal(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D))),add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))) )],[refute_0_190,refute_0_191]) ).
cnf(refute_0_193,plain,
add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D))) = add(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D))),
inference(resolve,[$cnf( $equal(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))) )],[refute_0_189,refute_0_192]) ).
cnf(refute_0_194,plain,
inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))) = inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))),
introduced(tautology,[refl,[$fot(inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))))]]) ).
cnf(refute_0_195,plain,
( add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D))) != add(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))
| inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))) != inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D))))
| inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))) = inverse(add(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D))))) ),[1,0],$fot(add(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D))))]]) ).
cnf(refute_0_196,plain,
( add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D))) != add(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))
| inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))) = inverse(add(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))) ),
inference(resolve,[$cnf( $equal(inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D))))) )],[refute_0_194,refute_0_195]) ).
cnf(refute_0_197,plain,
inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))) = inverse(add(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))),
inference(resolve,[$cnf( $equal(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D))),add(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))) )],[refute_0_193,refute_0_196]) ).
cnf(refute_0_198,plain,
add(inverse(add(X_0,X_1)),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D))))) = add(inverse(add(X_0,X_1)),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D))))),
introduced(tautology,[refl,[$fot(add(inverse(add(X_0,X_1)),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D))))))]]) ).
cnf(refute_0_199,plain,
( add(inverse(add(X_0,X_1)),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D))))) != add(inverse(add(X_0,X_1)),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))))
| inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))) != inverse(add(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D))))
| add(inverse(add(X_0,X_1)),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D))))) = add(inverse(add(X_0,X_1)),inverse(add(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D))))) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(add(X_0,X_1)),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D))))),add(inverse(add(X_0,X_1)),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))))) ),[1,1],$fot(inverse(add(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))))]]) ).
cnf(refute_0_200,plain,
( inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))) != inverse(add(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D))))
| add(inverse(add(X_0,X_1)),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D))))) = add(inverse(add(X_0,X_1)),inverse(add(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D))))) ),
inference(resolve,[$cnf( $equal(add(inverse(add(X_0,X_1)),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D))))),add(inverse(add(X_0,X_1)),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))))) )],[refute_0_198,refute_0_199]) ).
cnf(refute_0_201,plain,
add(inverse(add(X_0,X_1)),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D))))) = add(inverse(add(X_0,X_1)),inverse(add(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D))))),
inference(resolve,[$cnf( $equal(inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))),inverse(add(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D))))) )],[refute_0_197,refute_0_200]) ).
cnf(refute_0_202,plain,
inverse(add(inverse(add(X_0,X_1)),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))))) = inverse(add(inverse(add(X_0,X_1)),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))))),
introduced(tautology,[refl,[$fot(inverse(add(inverse(add(X_0,X_1)),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))))))]]) ).
cnf(refute_0_203,plain,
( add(inverse(add(X_0,X_1)),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D))))) != add(inverse(add(X_0,X_1)),inverse(add(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))))
| inverse(add(inverse(add(X_0,X_1)),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))))) != inverse(add(inverse(add(X_0,X_1)),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D))))))
| inverse(add(inverse(add(X_0,X_1)),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))))) = inverse(add(inverse(add(X_0,X_1)),inverse(add(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(add(X_0,X_1)),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))))),inverse(add(inverse(add(X_0,X_1)),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D))))))) ),[1,0],$fot(add(inverse(add(X_0,X_1)),inverse(add(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D))))))]]) ).
cnf(refute_0_204,plain,
( add(inverse(add(X_0,X_1)),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D))))) != add(inverse(add(X_0,X_1)),inverse(add(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))))
| inverse(add(inverse(add(X_0,X_1)),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))))) = inverse(add(inverse(add(X_0,X_1)),inverse(add(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))))) ),
inference(resolve,[$cnf( $equal(inverse(add(inverse(add(X_0,X_1)),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))))),inverse(add(inverse(add(X_0,X_1)),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D))))))) )],[refute_0_202,refute_0_203]) ).
cnf(refute_0_205,plain,
inverse(add(inverse(add(X_0,X_1)),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))))) = inverse(add(inverse(add(X_0,X_1)),inverse(add(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))))),
inference(resolve,[$cnf( $equal(add(inverse(add(X_0,X_1)),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D))))),add(inverse(add(X_0,X_1)),inverse(add(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))))) )],[refute_0_201,refute_0_204]) ).
cnf(refute_0_206,plain,
add(B,inverse(add(inverse(add(X_0,X_1)),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D))))))) = add(B,inverse(add(inverse(add(X_0,X_1)),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D))))))),
introduced(tautology,[refl,[$fot(add(B,inverse(add(inverse(add(X_0,X_1)),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D))))))))]]) ).
cnf(refute_0_207,plain,
( add(B,inverse(add(inverse(add(X_0,X_1)),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D))))))) != add(B,inverse(add(inverse(add(X_0,X_1)),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))))))
| inverse(add(inverse(add(X_0,X_1)),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))))) != inverse(add(inverse(add(X_0,X_1)),inverse(add(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D))))))
| add(B,inverse(add(inverse(add(X_0,X_1)),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D))))))) = add(B,inverse(add(inverse(add(X_0,X_1)),inverse(add(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D))))))) ),
introduced(tautology,[equality,[$cnf( $equal(add(B,inverse(add(inverse(add(X_0,X_1)),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D))))))),add(B,inverse(add(inverse(add(X_0,X_1)),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))))))) ),[1,1],$fot(inverse(add(inverse(add(X_0,X_1)),inverse(add(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))))))]]) ).
cnf(refute_0_208,plain,
( inverse(add(inverse(add(X_0,X_1)),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))))) != inverse(add(inverse(add(X_0,X_1)),inverse(add(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D))))))
| add(B,inverse(add(inverse(add(X_0,X_1)),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D))))))) = add(B,inverse(add(inverse(add(X_0,X_1)),inverse(add(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D))))))) ),
inference(resolve,[$cnf( $equal(add(B,inverse(add(inverse(add(X_0,X_1)),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D))))))),add(B,inverse(add(inverse(add(X_0,X_1)),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))))))) )],[refute_0_206,refute_0_207]) ).
cnf(refute_0_209,plain,
add(B,inverse(add(inverse(add(X_0,X_1)),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D))))))) = add(B,inverse(add(inverse(add(X_0,X_1)),inverse(add(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D))))))),
inference(resolve,[$cnf( $equal(inverse(add(inverse(add(X_0,X_1)),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))))),inverse(add(inverse(add(X_0,X_1)),inverse(add(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D))))))) )],[refute_0_205,refute_0_208]) ).
cnf(refute_0_210,plain,
inverse(add(B,inverse(add(inverse(add(X_0,X_1)),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))))))) = inverse(add(B,inverse(add(inverse(add(X_0,X_1)),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))))))),
introduced(tautology,[refl,[$fot(inverse(add(B,inverse(add(inverse(add(X_0,X_1)),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))))))))]]) ).
cnf(refute_0_211,plain,
( add(B,inverse(add(inverse(add(X_0,X_1)),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D))))))) != add(B,inverse(add(inverse(add(X_0,X_1)),inverse(add(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))))))
| inverse(add(B,inverse(add(inverse(add(X_0,X_1)),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))))))) != inverse(add(B,inverse(add(inverse(add(X_0,X_1)),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D))))))))
| inverse(add(B,inverse(add(inverse(add(X_0,X_1)),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))))))) = inverse(add(B,inverse(add(inverse(add(X_0,X_1)),inverse(add(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))))))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(add(B,inverse(add(inverse(add(X_0,X_1)),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))))))),inverse(add(B,inverse(add(inverse(add(X_0,X_1)),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D))))))))) ),[1,0],$fot(add(B,inverse(add(inverse(add(X_0,X_1)),inverse(add(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D))))))))]]) ).
cnf(refute_0_212,plain,
( add(B,inverse(add(inverse(add(X_0,X_1)),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D))))))) != add(B,inverse(add(inverse(add(X_0,X_1)),inverse(add(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))))))
| inverse(add(B,inverse(add(inverse(add(X_0,X_1)),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))))))) = inverse(add(B,inverse(add(inverse(add(X_0,X_1)),inverse(add(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))))))) ),
inference(resolve,[$cnf( $equal(inverse(add(B,inverse(add(inverse(add(X_0,X_1)),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))))))),inverse(add(B,inverse(add(inverse(add(X_0,X_1)),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D))))))))) )],[refute_0_210,refute_0_211]) ).
cnf(refute_0_213,plain,
inverse(add(B,inverse(add(inverse(add(X_0,X_1)),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))))))) = inverse(add(B,inverse(add(inverse(add(X_0,X_1)),inverse(add(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))))))),
inference(resolve,[$cnf( $equal(add(B,inverse(add(inverse(add(X_0,X_1)),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D))))))),add(B,inverse(add(inverse(add(X_0,X_1)),inverse(add(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))))))) )],[refute_0_209,refute_0_212]) ).
cnf(refute_0_214,plain,
( inverse(add(B,inverse(add(inverse(add(X_0,X_1)),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))))))) != inverse(add(B,inverse(add(inverse(add(X_0,X_1)),inverse(add(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D))))))))
| inverse(add(B,inverse(add(inverse(add(X_0,X_1)),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))))))) != inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))
| inverse(add(B,inverse(add(inverse(add(X_0,X_1)),inverse(add(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))))))) = inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(add(B,inverse(add(inverse(add(X_0,X_1)),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))))))),inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))) ),[0],$fot(inverse(add(B,inverse(add(inverse(add(X_0,X_1)),inverse(add(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))))))))]]) ).
cnf(refute_0_215,plain,
( inverse(add(B,inverse(add(inverse(add(X_0,X_1)),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))))))) != inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))
| inverse(add(B,inverse(add(inverse(add(X_0,X_1)),inverse(add(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))))))) = inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))) ),
inference(resolve,[$cnf( $equal(inverse(add(B,inverse(add(inverse(add(X_0,X_1)),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))))))),inverse(add(B,inverse(add(inverse(add(X_0,X_1)),inverse(add(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D))))))))) )],[refute_0_213,refute_0_214]) ).
cnf(refute_0_216,plain,
inverse(add(B,inverse(add(inverse(add(X_0,X_1)),inverse(add(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))))))) = inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),
inference(resolve,[$cnf( $equal(inverse(add(B,inverse(add(inverse(add(X_0,X_1)),inverse(add(inverse(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))),inverse(add(inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3)))))),D)))))))),inverse(add(X_0,inverse(add(inverse(B),inverse(add(B,X_3))))))) )],[refute_0_188,refute_0_215]) ).
cnf(refute_0_217,plain,
inverse(add(X_136,inverse(add(inverse(add(X_136,X_135)),inverse(add(add(X_136,inverse(add(inverse(X_136),inverse(add(X_136,X_136))))),inverse(add(inverse(add(X_136,inverse(add(inverse(X_136),inverse(add(X_136,X_136)))))),X_133)))))))) = inverse(add(X_136,inverse(add(inverse(X_136),inverse(add(X_136,X_136)))))),
inference(subst,[],[refute_0_216:[bind(B,$fot(X_136)),bind(D,$fot(X_133)),bind(X_0,$fot(X_136)),bind(X_1,$fot(X_135)),bind(X_3,$fot(X_136))]]) ).
cnf(refute_0_218,plain,
inverse(add(inverse(inverse(add(X_2,C))),inverse(add(inverse(add(X_2,C)),inverse(add(inverse(inverse(add(X_2,C))),inverse(add(inverse(add(X_2,C)),inverse(add(inverse(add(X_8,X_2)),inverse(add(inverse(C),inverse(add(C,D)))))))))))))) = inverse(add(X_2,C)),
inference(subst,[],[refute_0_14:[bind(C,$fot(inverse(add(X_2,C)))),bind(D,$fot(inverse(add(inverse(add(X_8,X_2)),inverse(add(inverse(C),inverse(add(C,D))))))))]]) ).
cnf(refute_0_219,plain,
( inverse(add(inverse(add(X_2,C)),inverse(add(inverse(add(X_8,X_2)),inverse(add(inverse(C),inverse(add(C,D)))))))) != C
| inverse(add(inverse(inverse(add(X_2,C))),inverse(add(inverse(add(X_2,C)),inverse(add(inverse(inverse(add(X_2,C))),inverse(add(inverse(add(X_2,C)),inverse(add(inverse(add(X_8,X_2)),inverse(add(inverse(C),inverse(add(C,D)))))))))))))) != inverse(add(X_2,C))
| inverse(add(inverse(inverse(add(X_2,C))),inverse(add(inverse(add(X_2,C)),inverse(add(inverse(inverse(add(X_2,C))),C)))))) = inverse(add(X_2,C)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(inverse(add(X_2,C))),inverse(add(inverse(add(X_2,C)),inverse(add(inverse(inverse(add(X_2,C))),inverse(add(inverse(add(X_2,C)),inverse(add(inverse(add(X_8,X_2)),inverse(add(inverse(C),inverse(add(C,D)))))))))))))),inverse(add(X_2,C))) ),[0,0,1,0,1,0,1],$fot(C)]]) ).
cnf(refute_0_220,plain,
( inverse(add(inverse(inverse(add(X_2,C))),inverse(add(inverse(add(X_2,C)),inverse(add(inverse(inverse(add(X_2,C))),inverse(add(inverse(add(X_2,C)),inverse(add(inverse(add(X_8,X_2)),inverse(add(inverse(C),inverse(add(C,D)))))))))))))) != inverse(add(X_2,C))
| inverse(add(inverse(inverse(add(X_2,C))),inverse(add(inverse(add(X_2,C)),inverse(add(inverse(inverse(add(X_2,C))),C)))))) = inverse(add(X_2,C)) ),
inference(resolve,[$cnf( $equal(inverse(add(inverse(add(X_2,C)),inverse(add(inverse(add(X_8,X_2)),inverse(add(inverse(C),inverse(add(C,D)))))))),C) )],[refute_0_174,refute_0_219]) ).
cnf(refute_0_221,plain,
inverse(add(inverse(inverse(add(X_2,C))),inverse(add(inverse(add(X_2,C)),inverse(add(inverse(inverse(add(X_2,C))),C)))))) = inverse(add(X_2,C)),
inference(resolve,[$cnf( $equal(inverse(add(inverse(inverse(add(X_2,C))),inverse(add(inverse(add(X_2,C)),inverse(add(inverse(inverse(add(X_2,C))),inverse(add(inverse(add(X_2,C)),inverse(add(inverse(add(X_8,X_2)),inverse(add(inverse(C),inverse(add(C,D)))))))))))))),inverse(add(X_2,C))) )],[refute_0_218,refute_0_220]) ).
cnf(refute_0_222,plain,
inverse(inverse(add(inverse(add(X_2,C)),inverse(add(add(X_2,C),C))))) = add(inverse(add(X_2,C)),inverse(add(add(X_2,C),C))),
inference(subst,[],[refute_0_130:[bind(C,$fot(add(inverse(add(X_2,C)),inverse(add(add(X_2,C),C)))))]]) ).
cnf(refute_0_223,plain,
inverse(add(inverse(add(inverse(add(inverse(inverse(add(inverse(X_42),inverse(add(X_42,X_9))))),X_42)),inverse(inverse(add(inverse(X_42),inverse(add(X_42,X_9))))))),inverse(add(inverse(inverse(add(inverse(X_42),inverse(add(X_42,X_9))))),inverse(inverse(add(inverse(X_42),inverse(add(X_42,X_9))))))))) = inverse(inverse(add(inverse(X_42),inverse(add(X_42,X_9))))),
inference(subst,[],[refute_0_27:[bind(A,$fot(inverse(inverse(add(inverse(X_42),inverse(add(X_42,X_9))))))),bind(B,$fot(X_42)),bind(C,$fot(inverse(inverse(add(inverse(X_42),inverse(add(X_42,X_9)))))))]]) ).
cnf(refute_0_224,plain,
inverse(add(inverse(add(inverse(inverse(add(inverse(X_42),inverse(add(X_42,X_9))))),X_42)),inverse(inverse(add(inverse(X_42),inverse(add(X_42,X_9))))))) = X_42,
inference(subst,[],[refute_0_38:[bind(X_8,$fot(X_42))]]) ).
cnf(refute_0_225,plain,
( inverse(add(inverse(add(inverse(add(inverse(inverse(add(inverse(X_42),inverse(add(X_42,X_9))))),X_42)),inverse(inverse(add(inverse(X_42),inverse(add(X_42,X_9))))))),inverse(add(inverse(inverse(add(inverse(X_42),inverse(add(X_42,X_9))))),inverse(inverse(add(inverse(X_42),inverse(add(X_42,X_9))))))))) != inverse(inverse(add(inverse(X_42),inverse(add(X_42,X_9)))))
| inverse(add(inverse(add(inverse(inverse(add(inverse(X_42),inverse(add(X_42,X_9))))),X_42)),inverse(inverse(add(inverse(X_42),inverse(add(X_42,X_9))))))) != X_42
| inverse(add(X_42,inverse(add(inverse(inverse(add(inverse(X_42),inverse(add(X_42,X_9))))),inverse(inverse(add(inverse(X_42),inverse(add(X_42,X_9))))))))) = inverse(inverse(add(inverse(X_42),inverse(add(X_42,X_9))))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(add(inverse(add(inverse(inverse(add(inverse(X_42),inverse(add(X_42,X_9))))),X_42)),inverse(inverse(add(inverse(X_42),inverse(add(X_42,X_9))))))),inverse(add(inverse(inverse(add(inverse(X_42),inverse(add(X_42,X_9))))),inverse(inverse(add(inverse(X_42),inverse(add(X_42,X_9))))))))),inverse(inverse(add(inverse(X_42),inverse(add(X_42,X_9)))))) ),[0,0,0],$fot(X_42)]]) ).
cnf(refute_0_226,plain,
( inverse(add(inverse(add(inverse(add(inverse(inverse(add(inverse(X_42),inverse(add(X_42,X_9))))),X_42)),inverse(inverse(add(inverse(X_42),inverse(add(X_42,X_9))))))),inverse(add(inverse(inverse(add(inverse(X_42),inverse(add(X_42,X_9))))),inverse(inverse(add(inverse(X_42),inverse(add(X_42,X_9))))))))) != inverse(inverse(add(inverse(X_42),inverse(add(X_42,X_9)))))
| inverse(add(X_42,inverse(add(inverse(inverse(add(inverse(X_42),inverse(add(X_42,X_9))))),inverse(inverse(add(inverse(X_42),inverse(add(X_42,X_9))))))))) = inverse(inverse(add(inverse(X_42),inverse(add(X_42,X_9))))) ),
inference(resolve,[$cnf( $equal(inverse(add(inverse(add(inverse(inverse(add(inverse(X_42),inverse(add(X_42,X_9))))),X_42)),inverse(inverse(add(inverse(X_42),inverse(add(X_42,X_9))))))),X_42) )],[refute_0_224,refute_0_225]) ).
cnf(refute_0_227,plain,
inverse(add(X_42,inverse(add(inverse(inverse(add(inverse(X_42),inverse(add(X_42,X_9))))),inverse(inverse(add(inverse(X_42),inverse(add(X_42,X_9))))))))) = inverse(inverse(add(inverse(X_42),inverse(add(X_42,X_9))))),
inference(resolve,[$cnf( $equal(inverse(add(inverse(add(inverse(add(inverse(inverse(add(inverse(X_42),inverse(add(X_42,X_9))))),X_42)),inverse(inverse(add(inverse(X_42),inverse(add(X_42,X_9))))))),inverse(add(inverse(inverse(add(inverse(X_42),inverse(add(X_42,X_9))))),inverse(inverse(add(inverse(X_42),inverse(add(X_42,X_9))))))))),inverse(inverse(add(inverse(X_42),inverse(add(X_42,X_9)))))) )],[refute_0_223,refute_0_226]) ).
cnf(refute_0_228,plain,
inverse(add(inverse(inverse(add(inverse(X_42),inverse(add(X_42,X_9))))),inverse(inverse(add(inverse(X_42),inverse(add(X_42,X_9))))))) = inverse(add(inverse(X_42),inverse(add(X_42,X_9)))),
inference(subst,[],[refute_0_85:[bind(C,$fot(inverse(add(inverse(X_42),inverse(add(X_42,X_9))))))]]) ).
cnf(refute_0_229,plain,
add(X_42,inverse(add(inverse(inverse(add(inverse(X_42),inverse(add(X_42,X_9))))),inverse(inverse(add(inverse(X_42),inverse(add(X_42,X_9)))))))) = add(X_42,inverse(add(inverse(inverse(add(inverse(X_42),inverse(add(X_42,X_9))))),inverse(inverse(add(inverse(X_42),inverse(add(X_42,X_9)))))))),
introduced(tautology,[refl,[$fot(add(X_42,inverse(add(inverse(inverse(add(inverse(X_42),inverse(add(X_42,X_9))))),inverse(inverse(add(inverse(X_42),inverse(add(X_42,X_9)))))))))]]) ).
cnf(refute_0_230,plain,
( add(X_42,inverse(add(inverse(inverse(add(inverse(X_42),inverse(add(X_42,X_9))))),inverse(inverse(add(inverse(X_42),inverse(add(X_42,X_9)))))))) != add(X_42,inverse(add(inverse(inverse(add(inverse(X_42),inverse(add(X_42,X_9))))),inverse(inverse(add(inverse(X_42),inverse(add(X_42,X_9))))))))
| inverse(add(inverse(inverse(add(inverse(X_42),inverse(add(X_42,X_9))))),inverse(inverse(add(inverse(X_42),inverse(add(X_42,X_9))))))) != inverse(add(inverse(X_42),inverse(add(X_42,X_9))))
| add(X_42,inverse(add(inverse(inverse(add(inverse(X_42),inverse(add(X_42,X_9))))),inverse(inverse(add(inverse(X_42),inverse(add(X_42,X_9)))))))) = add(X_42,inverse(add(inverse(X_42),inverse(add(X_42,X_9))))) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_42,inverse(add(inverse(inverse(add(inverse(X_42),inverse(add(X_42,X_9))))),inverse(inverse(add(inverse(X_42),inverse(add(X_42,X_9)))))))),add(X_42,inverse(add(inverse(inverse(add(inverse(X_42),inverse(add(X_42,X_9))))),inverse(inverse(add(inverse(X_42),inverse(add(X_42,X_9))))))))) ),[1,1],$fot(inverse(add(inverse(X_42),inverse(add(X_42,X_9)))))]]) ).
cnf(refute_0_231,plain,
( inverse(add(inverse(inverse(add(inverse(X_42),inverse(add(X_42,X_9))))),inverse(inverse(add(inverse(X_42),inverse(add(X_42,X_9))))))) != inverse(add(inverse(X_42),inverse(add(X_42,X_9))))
| add(X_42,inverse(add(inverse(inverse(add(inverse(X_42),inverse(add(X_42,X_9))))),inverse(inverse(add(inverse(X_42),inverse(add(X_42,X_9)))))))) = add(X_42,inverse(add(inverse(X_42),inverse(add(X_42,X_9))))) ),
inference(resolve,[$cnf( $equal(add(X_42,inverse(add(inverse(inverse(add(inverse(X_42),inverse(add(X_42,X_9))))),inverse(inverse(add(inverse(X_42),inverse(add(X_42,X_9)))))))),add(X_42,inverse(add(inverse(inverse(add(inverse(X_42),inverse(add(X_42,X_9))))),inverse(inverse(add(inverse(X_42),inverse(add(X_42,X_9))))))))) )],[refute_0_229,refute_0_230]) ).
cnf(refute_0_232,plain,
add(X_42,inverse(add(inverse(inverse(add(inverse(X_42),inverse(add(X_42,X_9))))),inverse(inverse(add(inverse(X_42),inverse(add(X_42,X_9)))))))) = add(X_42,inverse(add(inverse(X_42),inverse(add(X_42,X_9))))),
inference(resolve,[$cnf( $equal(inverse(add(inverse(inverse(add(inverse(X_42),inverse(add(X_42,X_9))))),inverse(inverse(add(inverse(X_42),inverse(add(X_42,X_9))))))),inverse(add(inverse(X_42),inverse(add(X_42,X_9))))) )],[refute_0_228,refute_0_231]) ).
cnf(refute_0_233,plain,
inverse(add(X_42,inverse(add(inverse(inverse(add(inverse(X_42),inverse(add(X_42,X_9))))),inverse(inverse(add(inverse(X_42),inverse(add(X_42,X_9))))))))) = inverse(add(X_42,inverse(add(inverse(inverse(add(inverse(X_42),inverse(add(X_42,X_9))))),inverse(inverse(add(inverse(X_42),inverse(add(X_42,X_9))))))))),
introduced(tautology,[refl,[$fot(inverse(add(X_42,inverse(add(inverse(inverse(add(inverse(X_42),inverse(add(X_42,X_9))))),inverse(inverse(add(inverse(X_42),inverse(add(X_42,X_9))))))))))]]) ).
cnf(refute_0_234,plain,
( add(X_42,inverse(add(inverse(inverse(add(inverse(X_42),inverse(add(X_42,X_9))))),inverse(inverse(add(inverse(X_42),inverse(add(X_42,X_9)))))))) != add(X_42,inverse(add(inverse(X_42),inverse(add(X_42,X_9)))))
| inverse(add(X_42,inverse(add(inverse(inverse(add(inverse(X_42),inverse(add(X_42,X_9))))),inverse(inverse(add(inverse(X_42),inverse(add(X_42,X_9))))))))) != inverse(add(X_42,inverse(add(inverse(inverse(add(inverse(X_42),inverse(add(X_42,X_9))))),inverse(inverse(add(inverse(X_42),inverse(add(X_42,X_9)))))))))
| inverse(add(X_42,inverse(add(inverse(inverse(add(inverse(X_42),inverse(add(X_42,X_9))))),inverse(inverse(add(inverse(X_42),inverse(add(X_42,X_9))))))))) = inverse(add(X_42,inverse(add(inverse(X_42),inverse(add(X_42,X_9)))))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(add(X_42,inverse(add(inverse(inverse(add(inverse(X_42),inverse(add(X_42,X_9))))),inverse(inverse(add(inverse(X_42),inverse(add(X_42,X_9))))))))),inverse(add(X_42,inverse(add(inverse(inverse(add(inverse(X_42),inverse(add(X_42,X_9))))),inverse(inverse(add(inverse(X_42),inverse(add(X_42,X_9)))))))))) ),[1,0],$fot(add(X_42,inverse(add(inverse(X_42),inverse(add(X_42,X_9))))))]]) ).
cnf(refute_0_235,plain,
( add(X_42,inverse(add(inverse(inverse(add(inverse(X_42),inverse(add(X_42,X_9))))),inverse(inverse(add(inverse(X_42),inverse(add(X_42,X_9)))))))) != add(X_42,inverse(add(inverse(X_42),inverse(add(X_42,X_9)))))
| inverse(add(X_42,inverse(add(inverse(inverse(add(inverse(X_42),inverse(add(X_42,X_9))))),inverse(inverse(add(inverse(X_42),inverse(add(X_42,X_9))))))))) = inverse(add(X_42,inverse(add(inverse(X_42),inverse(add(X_42,X_9)))))) ),
inference(resolve,[$cnf( $equal(inverse(add(X_42,inverse(add(inverse(inverse(add(inverse(X_42),inverse(add(X_42,X_9))))),inverse(inverse(add(inverse(X_42),inverse(add(X_42,X_9))))))))),inverse(add(X_42,inverse(add(inverse(inverse(add(inverse(X_42),inverse(add(X_42,X_9))))),inverse(inverse(add(inverse(X_42),inverse(add(X_42,X_9)))))))))) )],[refute_0_233,refute_0_234]) ).
cnf(refute_0_236,plain,
inverse(add(X_42,inverse(add(inverse(inverse(add(inverse(X_42),inverse(add(X_42,X_9))))),inverse(inverse(add(inverse(X_42),inverse(add(X_42,X_9))))))))) = inverse(add(X_42,inverse(add(inverse(X_42),inverse(add(X_42,X_9)))))),
inference(resolve,[$cnf( $equal(add(X_42,inverse(add(inverse(inverse(add(inverse(X_42),inverse(add(X_42,X_9))))),inverse(inverse(add(inverse(X_42),inverse(add(X_42,X_9)))))))),add(X_42,inverse(add(inverse(X_42),inverse(add(X_42,X_9)))))) )],[refute_0_232,refute_0_235]) ).
cnf(refute_0_237,plain,
( inverse(add(X_42,inverse(add(inverse(inverse(add(inverse(X_42),inverse(add(X_42,X_9))))),inverse(inverse(add(inverse(X_42),inverse(add(X_42,X_9))))))))) != inverse(add(X_42,inverse(add(inverse(X_42),inverse(add(X_42,X_9))))))
| inverse(add(X_42,inverse(add(inverse(inverse(add(inverse(X_42),inverse(add(X_42,X_9))))),inverse(inverse(add(inverse(X_42),inverse(add(X_42,X_9))))))))) != inverse(inverse(add(inverse(X_42),inverse(add(X_42,X_9)))))
| inverse(add(X_42,inverse(add(inverse(X_42),inverse(add(X_42,X_9)))))) = inverse(inverse(add(inverse(X_42),inverse(add(X_42,X_9))))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(add(X_42,inverse(add(inverse(inverse(add(inverse(X_42),inverse(add(X_42,X_9))))),inverse(inverse(add(inverse(X_42),inverse(add(X_42,X_9))))))))),inverse(inverse(add(inverse(X_42),inverse(add(X_42,X_9)))))) ),[0],$fot(inverse(add(X_42,inverse(add(inverse(X_42),inverse(add(X_42,X_9)))))))]]) ).
cnf(refute_0_238,plain,
( inverse(add(X_42,inverse(add(inverse(inverse(add(inverse(X_42),inverse(add(X_42,X_9))))),inverse(inverse(add(inverse(X_42),inverse(add(X_42,X_9))))))))) != inverse(inverse(add(inverse(X_42),inverse(add(X_42,X_9)))))
| inverse(add(X_42,inverse(add(inverse(X_42),inverse(add(X_42,X_9)))))) = inverse(inverse(add(inverse(X_42),inverse(add(X_42,X_9))))) ),
inference(resolve,[$cnf( $equal(inverse(add(X_42,inverse(add(inverse(inverse(add(inverse(X_42),inverse(add(X_42,X_9))))),inverse(inverse(add(inverse(X_42),inverse(add(X_42,X_9))))))))),inverse(add(X_42,inverse(add(inverse(X_42),inverse(add(X_42,X_9))))))) )],[refute_0_236,refute_0_237]) ).
cnf(refute_0_239,plain,
inverse(add(X_42,inverse(add(inverse(X_42),inverse(add(X_42,X_9)))))) = inverse(inverse(add(inverse(X_42),inverse(add(X_42,X_9))))),
inference(resolve,[$cnf( $equal(inverse(add(X_42,inverse(add(inverse(inverse(add(inverse(X_42),inverse(add(X_42,X_9))))),inverse(inverse(add(inverse(X_42),inverse(add(X_42,X_9))))))))),inverse(inverse(add(inverse(X_42),inverse(add(X_42,X_9)))))) )],[refute_0_227,refute_0_238]) ).
cnf(refute_0_240,plain,
inverse(add(add(X_2,C),inverse(add(inverse(add(X_2,C)),inverse(add(add(X_2,C),C)))))) = inverse(inverse(add(inverse(add(X_2,C)),inverse(add(add(X_2,C),C))))),
inference(subst,[],[refute_0_239:[bind(X_42,$fot(add(X_2,C))),bind(X_9,$fot(C))]]) ).
cnf(refute_0_241,plain,
( inverse(add(add(X_2,C),inverse(add(inverse(add(X_2,C)),inverse(add(add(X_2,C),C)))))) != inverse(inverse(add(inverse(add(X_2,C)),inverse(add(add(X_2,C),C)))))
| inverse(inverse(add(inverse(add(X_2,C)),inverse(add(add(X_2,C),C))))) != add(inverse(add(X_2,C)),inverse(add(add(X_2,C),C)))
| inverse(add(add(X_2,C),inverse(add(inverse(add(X_2,C)),inverse(add(add(X_2,C),C)))))) = add(inverse(add(X_2,C)),inverse(add(add(X_2,C),C))) ),
inference(subst,[],[refute_0_104:[bind(X,$fot(inverse(add(add(X_2,C),inverse(add(inverse(add(X_2,C)),inverse(add(add(X_2,C),C)))))))),bind(Y,$fot(inverse(inverse(add(inverse(add(X_2,C)),inverse(add(add(X_2,C),C))))))),bind(Z,$fot(add(inverse(add(X_2,C)),inverse(add(add(X_2,C),C)))))]]) ).
cnf(refute_0_242,plain,
( inverse(inverse(add(inverse(add(X_2,C)),inverse(add(add(X_2,C),C))))) != add(inverse(add(X_2,C)),inverse(add(add(X_2,C),C)))
| inverse(add(add(X_2,C),inverse(add(inverse(add(X_2,C)),inverse(add(add(X_2,C),C)))))) = add(inverse(add(X_2,C)),inverse(add(add(X_2,C),C))) ),
inference(resolve,[$cnf( $equal(inverse(add(add(X_2,C),inverse(add(inverse(add(X_2,C)),inverse(add(add(X_2,C),C)))))),inverse(inverse(add(inverse(add(X_2,C)),inverse(add(add(X_2,C),C)))))) )],[refute_0_240,refute_0_241]) ).
cnf(refute_0_243,plain,
inverse(add(add(X_2,C),inverse(add(inverse(add(X_2,C)),inverse(add(add(X_2,C),C)))))) = add(inverse(add(X_2,C)),inverse(add(add(X_2,C),C))),
inference(resolve,[$cnf( $equal(inverse(inverse(add(inverse(add(X_2,C)),inverse(add(add(X_2,C),C))))),add(inverse(add(X_2,C)),inverse(add(add(X_2,C),C)))) )],[refute_0_222,refute_0_242]) ).
cnf(refute_0_244,plain,
inverse(inverse(add(X_2,C))) = add(X_2,C),
inference(subst,[],[refute_0_130:[bind(C,$fot(add(X_2,C)))]]) ).
cnf(refute_0_245,plain,
add(inverse(inverse(add(X_2,C))),C) = add(inverse(inverse(add(X_2,C))),C),
introduced(tautology,[refl,[$fot(add(inverse(inverse(add(X_2,C))),C))]]) ).
cnf(refute_0_246,plain,
( add(inverse(inverse(add(X_2,C))),C) != add(inverse(inverse(add(X_2,C))),C)
| inverse(inverse(add(X_2,C))) != add(X_2,C)
| add(inverse(inverse(add(X_2,C))),C) = add(add(X_2,C),C) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(inverse(add(X_2,C))),C),add(inverse(inverse(add(X_2,C))),C)) ),[1,0],$fot(add(X_2,C))]]) ).
cnf(refute_0_247,plain,
( inverse(inverse(add(X_2,C))) != add(X_2,C)
| add(inverse(inverse(add(X_2,C))),C) = add(add(X_2,C),C) ),
inference(resolve,[$cnf( $equal(add(inverse(inverse(add(X_2,C))),C),add(inverse(inverse(add(X_2,C))),C)) )],[refute_0_245,refute_0_246]) ).
cnf(refute_0_248,plain,
add(inverse(inverse(add(X_2,C))),C) = add(add(X_2,C),C),
inference(resolve,[$cnf( $equal(inverse(inverse(add(X_2,C))),add(X_2,C)) )],[refute_0_244,refute_0_247]) ).
cnf(refute_0_249,plain,
inverse(add(inverse(inverse(add(X_2,C))),C)) = inverse(add(inverse(inverse(add(X_2,C))),C)),
introduced(tautology,[refl,[$fot(inverse(add(inverse(inverse(add(X_2,C))),C)))]]) ).
cnf(refute_0_250,plain,
( add(inverse(inverse(add(X_2,C))),C) != add(add(X_2,C),C)
| inverse(add(inverse(inverse(add(X_2,C))),C)) != inverse(add(inverse(inverse(add(X_2,C))),C))
| inverse(add(inverse(inverse(add(X_2,C))),C)) = inverse(add(add(X_2,C),C)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(inverse(add(X_2,C))),C)),inverse(add(inverse(inverse(add(X_2,C))),C))) ),[1,0],$fot(add(add(X_2,C),C))]]) ).
cnf(refute_0_251,plain,
( add(inverse(inverse(add(X_2,C))),C) != add(add(X_2,C),C)
| inverse(add(inverse(inverse(add(X_2,C))),C)) = inverse(add(add(X_2,C),C)) ),
inference(resolve,[$cnf( $equal(inverse(add(inverse(inverse(add(X_2,C))),C)),inverse(add(inverse(inverse(add(X_2,C))),C))) )],[refute_0_249,refute_0_250]) ).
cnf(refute_0_252,plain,
inverse(add(inverse(inverse(add(X_2,C))),C)) = inverse(add(add(X_2,C),C)),
inference(resolve,[$cnf( $equal(add(inverse(inverse(add(X_2,C))),C),add(add(X_2,C),C)) )],[refute_0_248,refute_0_251]) ).
cnf(refute_0_253,plain,
add(inverse(add(X_2,C)),inverse(add(inverse(inverse(add(X_2,C))),C))) = add(inverse(add(X_2,C)),inverse(add(inverse(inverse(add(X_2,C))),C))),
introduced(tautology,[refl,[$fot(add(inverse(add(X_2,C)),inverse(add(inverse(inverse(add(X_2,C))),C))))]]) ).
cnf(refute_0_254,plain,
( add(inverse(add(X_2,C)),inverse(add(inverse(inverse(add(X_2,C))),C))) != add(inverse(add(X_2,C)),inverse(add(inverse(inverse(add(X_2,C))),C)))
| inverse(add(inverse(inverse(add(X_2,C))),C)) != inverse(add(add(X_2,C),C))
| add(inverse(add(X_2,C)),inverse(add(inverse(inverse(add(X_2,C))),C))) = add(inverse(add(X_2,C)),inverse(add(add(X_2,C),C))) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(add(X_2,C)),inverse(add(inverse(inverse(add(X_2,C))),C))),add(inverse(add(X_2,C)),inverse(add(inverse(inverse(add(X_2,C))),C)))) ),[1,1],$fot(inverse(add(add(X_2,C),C)))]]) ).
cnf(refute_0_255,plain,
( inverse(add(inverse(inverse(add(X_2,C))),C)) != inverse(add(add(X_2,C),C))
| add(inverse(add(X_2,C)),inverse(add(inverse(inverse(add(X_2,C))),C))) = add(inverse(add(X_2,C)),inverse(add(add(X_2,C),C))) ),
inference(resolve,[$cnf( $equal(add(inverse(add(X_2,C)),inverse(add(inverse(inverse(add(X_2,C))),C))),add(inverse(add(X_2,C)),inverse(add(inverse(inverse(add(X_2,C))),C)))) )],[refute_0_253,refute_0_254]) ).
cnf(refute_0_256,plain,
add(inverse(add(X_2,C)),inverse(add(inverse(inverse(add(X_2,C))),C))) = add(inverse(add(X_2,C)),inverse(add(add(X_2,C),C))),
inference(resolve,[$cnf( $equal(inverse(add(inverse(inverse(add(X_2,C))),C)),inverse(add(add(X_2,C),C))) )],[refute_0_252,refute_0_255]) ).
cnf(refute_0_257,plain,
inverse(add(inverse(add(X_2,C)),inverse(add(inverse(inverse(add(X_2,C))),C)))) = inverse(add(inverse(add(X_2,C)),inverse(add(inverse(inverse(add(X_2,C))),C)))),
introduced(tautology,[refl,[$fot(inverse(add(inverse(add(X_2,C)),inverse(add(inverse(inverse(add(X_2,C))),C)))))]]) ).
cnf(refute_0_258,plain,
( add(inverse(add(X_2,C)),inverse(add(inverse(inverse(add(X_2,C))),C))) != add(inverse(add(X_2,C)),inverse(add(add(X_2,C),C)))
| inverse(add(inverse(add(X_2,C)),inverse(add(inverse(inverse(add(X_2,C))),C)))) != inverse(add(inverse(add(X_2,C)),inverse(add(inverse(inverse(add(X_2,C))),C))))
| inverse(add(inverse(add(X_2,C)),inverse(add(inverse(inverse(add(X_2,C))),C)))) = inverse(add(inverse(add(X_2,C)),inverse(add(add(X_2,C),C)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(add(X_2,C)),inverse(add(inverse(inverse(add(X_2,C))),C)))),inverse(add(inverse(add(X_2,C)),inverse(add(inverse(inverse(add(X_2,C))),C))))) ),[1,0],$fot(add(inverse(add(X_2,C)),inverse(add(add(X_2,C),C))))]]) ).
cnf(refute_0_259,plain,
( add(inverse(add(X_2,C)),inverse(add(inverse(inverse(add(X_2,C))),C))) != add(inverse(add(X_2,C)),inverse(add(add(X_2,C),C)))
| inverse(add(inverse(add(X_2,C)),inverse(add(inverse(inverse(add(X_2,C))),C)))) = inverse(add(inverse(add(X_2,C)),inverse(add(add(X_2,C),C)))) ),
inference(resolve,[$cnf( $equal(inverse(add(inverse(add(X_2,C)),inverse(add(inverse(inverse(add(X_2,C))),C)))),inverse(add(inverse(add(X_2,C)),inverse(add(inverse(inverse(add(X_2,C))),C))))) )],[refute_0_257,refute_0_258]) ).
cnf(refute_0_260,plain,
inverse(add(inverse(add(X_2,C)),inverse(add(inverse(inverse(add(X_2,C))),C)))) = inverse(add(inverse(add(X_2,C)),inverse(add(add(X_2,C),C)))),
inference(resolve,[$cnf( $equal(add(inverse(add(X_2,C)),inverse(add(inverse(inverse(add(X_2,C))),C))),add(inverse(add(X_2,C)),inverse(add(add(X_2,C),C)))) )],[refute_0_256,refute_0_259]) ).
cnf(refute_0_261,plain,
add(add(X_2,C),inverse(add(inverse(add(X_2,C)),inverse(add(inverse(inverse(add(X_2,C))),C))))) = add(add(X_2,C),inverse(add(inverse(add(X_2,C)),inverse(add(inverse(inverse(add(X_2,C))),C))))),
introduced(tautology,[refl,[$fot(add(add(X_2,C),inverse(add(inverse(add(X_2,C)),inverse(add(inverse(inverse(add(X_2,C))),C))))))]]) ).
cnf(refute_0_262,plain,
( add(add(X_2,C),inverse(add(inverse(add(X_2,C)),inverse(add(inverse(inverse(add(X_2,C))),C))))) != add(add(X_2,C),inverse(add(inverse(add(X_2,C)),inverse(add(inverse(inverse(add(X_2,C))),C)))))
| inverse(add(inverse(add(X_2,C)),inverse(add(inverse(inverse(add(X_2,C))),C)))) != inverse(add(inverse(add(X_2,C)),inverse(add(add(X_2,C),C))))
| add(add(X_2,C),inverse(add(inverse(add(X_2,C)),inverse(add(inverse(inverse(add(X_2,C))),C))))) = add(add(X_2,C),inverse(add(inverse(add(X_2,C)),inverse(add(add(X_2,C),C))))) ),
introduced(tautology,[equality,[$cnf( $equal(add(add(X_2,C),inverse(add(inverse(add(X_2,C)),inverse(add(inverse(inverse(add(X_2,C))),C))))),add(add(X_2,C),inverse(add(inverse(add(X_2,C)),inverse(add(inverse(inverse(add(X_2,C))),C)))))) ),[1,1],$fot(inverse(add(inverse(add(X_2,C)),inverse(add(add(X_2,C),C)))))]]) ).
cnf(refute_0_263,plain,
( inverse(add(inverse(add(X_2,C)),inverse(add(inverse(inverse(add(X_2,C))),C)))) != inverse(add(inverse(add(X_2,C)),inverse(add(add(X_2,C),C))))
| add(add(X_2,C),inverse(add(inverse(add(X_2,C)),inverse(add(inverse(inverse(add(X_2,C))),C))))) = add(add(X_2,C),inverse(add(inverse(add(X_2,C)),inverse(add(add(X_2,C),C))))) ),
inference(resolve,[$cnf( $equal(add(add(X_2,C),inverse(add(inverse(add(X_2,C)),inverse(add(inverse(inverse(add(X_2,C))),C))))),add(add(X_2,C),inverse(add(inverse(add(X_2,C)),inverse(add(inverse(inverse(add(X_2,C))),C)))))) )],[refute_0_261,refute_0_262]) ).
cnf(refute_0_264,plain,
add(add(X_2,C),inverse(add(inverse(add(X_2,C)),inverse(add(inverse(inverse(add(X_2,C))),C))))) = add(add(X_2,C),inverse(add(inverse(add(X_2,C)),inverse(add(add(X_2,C),C))))),
inference(resolve,[$cnf( $equal(inverse(add(inverse(add(X_2,C)),inverse(add(inverse(inverse(add(X_2,C))),C)))),inverse(add(inverse(add(X_2,C)),inverse(add(add(X_2,C),C))))) )],[refute_0_260,refute_0_263]) ).
cnf(refute_0_265,plain,
add(inverse(inverse(add(X_2,C))),inverse(add(inverse(add(X_2,C)),inverse(add(inverse(inverse(add(X_2,C))),C))))) = add(inverse(inverse(add(X_2,C))),inverse(add(inverse(add(X_2,C)),inverse(add(inverse(inverse(add(X_2,C))),C))))),
introduced(tautology,[refl,[$fot(add(inverse(inverse(add(X_2,C))),inverse(add(inverse(add(X_2,C)),inverse(add(inverse(inverse(add(X_2,C))),C))))))]]) ).
cnf(refute_0_266,plain,
( add(inverse(inverse(add(X_2,C))),inverse(add(inverse(add(X_2,C)),inverse(add(inverse(inverse(add(X_2,C))),C))))) != add(inverse(inverse(add(X_2,C))),inverse(add(inverse(add(X_2,C)),inverse(add(inverse(inverse(add(X_2,C))),C)))))
| inverse(inverse(add(X_2,C))) != add(X_2,C)
| add(inverse(inverse(add(X_2,C))),inverse(add(inverse(add(X_2,C)),inverse(add(inverse(inverse(add(X_2,C))),C))))) = add(add(X_2,C),inverse(add(inverse(add(X_2,C)),inverse(add(inverse(inverse(add(X_2,C))),C))))) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(inverse(add(X_2,C))),inverse(add(inverse(add(X_2,C)),inverse(add(inverse(inverse(add(X_2,C))),C))))),add(inverse(inverse(add(X_2,C))),inverse(add(inverse(add(X_2,C)),inverse(add(inverse(inverse(add(X_2,C))),C)))))) ),[1,0],$fot(add(X_2,C))]]) ).
cnf(refute_0_267,plain,
( inverse(inverse(add(X_2,C))) != add(X_2,C)
| add(inverse(inverse(add(X_2,C))),inverse(add(inverse(add(X_2,C)),inverse(add(inverse(inverse(add(X_2,C))),C))))) = add(add(X_2,C),inverse(add(inverse(add(X_2,C)),inverse(add(inverse(inverse(add(X_2,C))),C))))) ),
inference(resolve,[$cnf( $equal(add(inverse(inverse(add(X_2,C))),inverse(add(inverse(add(X_2,C)),inverse(add(inverse(inverse(add(X_2,C))),C))))),add(inverse(inverse(add(X_2,C))),inverse(add(inverse(add(X_2,C)),inverse(add(inverse(inverse(add(X_2,C))),C)))))) )],[refute_0_265,refute_0_266]) ).
cnf(refute_0_268,plain,
add(inverse(inverse(add(X_2,C))),inverse(add(inverse(add(X_2,C)),inverse(add(inverse(inverse(add(X_2,C))),C))))) = add(add(X_2,C),inverse(add(inverse(add(X_2,C)),inverse(add(inverse(inverse(add(X_2,C))),C))))),
inference(resolve,[$cnf( $equal(inverse(inverse(add(X_2,C))),add(X_2,C)) )],[refute_0_244,refute_0_267]) ).
cnf(refute_0_269,plain,
( add(add(X_2,C),inverse(add(inverse(add(X_2,C)),inverse(add(inverse(inverse(add(X_2,C))),C))))) != add(add(X_2,C),inverse(add(inverse(add(X_2,C)),inverse(add(add(X_2,C),C)))))
| add(inverse(inverse(add(X_2,C))),inverse(add(inverse(add(X_2,C)),inverse(add(inverse(inverse(add(X_2,C))),C))))) != add(add(X_2,C),inverse(add(inverse(add(X_2,C)),inverse(add(inverse(inverse(add(X_2,C))),C)))))
| add(inverse(inverse(add(X_2,C))),inverse(add(inverse(add(X_2,C)),inverse(add(inverse(inverse(add(X_2,C))),C))))) = add(add(X_2,C),inverse(add(inverse(add(X_2,C)),inverse(add(add(X_2,C),C))))) ),
inference(subst,[],[refute_0_104:[bind(X,$fot(add(inverse(inverse(add(X_2,C))),inverse(add(inverse(add(X_2,C)),inverse(add(inverse(inverse(add(X_2,C))),C))))))),bind(Y,$fot(add(add(X_2,C),inverse(add(inverse(add(X_2,C)),inverse(add(inverse(inverse(add(X_2,C))),C))))))),bind(Z,$fot(add(add(X_2,C),inverse(add(inverse(add(X_2,C)),inverse(add(add(X_2,C),C)))))))]]) ).
cnf(refute_0_270,plain,
( add(add(X_2,C),inverse(add(inverse(add(X_2,C)),inverse(add(inverse(inverse(add(X_2,C))),C))))) != add(add(X_2,C),inverse(add(inverse(add(X_2,C)),inverse(add(add(X_2,C),C)))))
| add(inverse(inverse(add(X_2,C))),inverse(add(inverse(add(X_2,C)),inverse(add(inverse(inverse(add(X_2,C))),C))))) = add(add(X_2,C),inverse(add(inverse(add(X_2,C)),inverse(add(add(X_2,C),C))))) ),
inference(resolve,[$cnf( $equal(add(inverse(inverse(add(X_2,C))),inverse(add(inverse(add(X_2,C)),inverse(add(inverse(inverse(add(X_2,C))),C))))),add(add(X_2,C),inverse(add(inverse(add(X_2,C)),inverse(add(inverse(inverse(add(X_2,C))),C)))))) )],[refute_0_268,refute_0_269]) ).
cnf(refute_0_271,plain,
add(inverse(inverse(add(X_2,C))),inverse(add(inverse(add(X_2,C)),inverse(add(inverse(inverse(add(X_2,C))),C))))) = add(add(X_2,C),inverse(add(inverse(add(X_2,C)),inverse(add(add(X_2,C),C))))),
inference(resolve,[$cnf( $equal(add(add(X_2,C),inverse(add(inverse(add(X_2,C)),inverse(add(inverse(inverse(add(X_2,C))),C))))),add(add(X_2,C),inverse(add(inverse(add(X_2,C)),inverse(add(add(X_2,C),C)))))) )],[refute_0_264,refute_0_270]) ).
cnf(refute_0_272,plain,
inverse(add(inverse(inverse(add(X_2,C))),inverse(add(inverse(add(X_2,C)),inverse(add(inverse(inverse(add(X_2,C))),C)))))) = inverse(add(inverse(inverse(add(X_2,C))),inverse(add(inverse(add(X_2,C)),inverse(add(inverse(inverse(add(X_2,C))),C)))))),
introduced(tautology,[refl,[$fot(inverse(add(inverse(inverse(add(X_2,C))),inverse(add(inverse(add(X_2,C)),inverse(add(inverse(inverse(add(X_2,C))),C)))))))]]) ).
cnf(refute_0_273,plain,
( add(inverse(inverse(add(X_2,C))),inverse(add(inverse(add(X_2,C)),inverse(add(inverse(inverse(add(X_2,C))),C))))) != add(add(X_2,C),inverse(add(inverse(add(X_2,C)),inverse(add(add(X_2,C),C)))))
| inverse(add(inverse(inverse(add(X_2,C))),inverse(add(inverse(add(X_2,C)),inverse(add(inverse(inverse(add(X_2,C))),C)))))) != inverse(add(inverse(inverse(add(X_2,C))),inverse(add(inverse(add(X_2,C)),inverse(add(inverse(inverse(add(X_2,C))),C))))))
| inverse(add(inverse(inverse(add(X_2,C))),inverse(add(inverse(add(X_2,C)),inverse(add(inverse(inverse(add(X_2,C))),C)))))) = inverse(add(add(X_2,C),inverse(add(inverse(add(X_2,C)),inverse(add(add(X_2,C),C)))))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(inverse(add(X_2,C))),inverse(add(inverse(add(X_2,C)),inverse(add(inverse(inverse(add(X_2,C))),C)))))),inverse(add(inverse(inverse(add(X_2,C))),inverse(add(inverse(add(X_2,C)),inverse(add(inverse(inverse(add(X_2,C))),C))))))) ),[1,0],$fot(add(add(X_2,C),inverse(add(inverse(add(X_2,C)),inverse(add(add(X_2,C),C))))))]]) ).
cnf(refute_0_274,plain,
( add(inverse(inverse(add(X_2,C))),inverse(add(inverse(add(X_2,C)),inverse(add(inverse(inverse(add(X_2,C))),C))))) != add(add(X_2,C),inverse(add(inverse(add(X_2,C)),inverse(add(add(X_2,C),C)))))
| inverse(add(inverse(inverse(add(X_2,C))),inverse(add(inverse(add(X_2,C)),inverse(add(inverse(inverse(add(X_2,C))),C)))))) = inverse(add(add(X_2,C),inverse(add(inverse(add(X_2,C)),inverse(add(add(X_2,C),C)))))) ),
inference(resolve,[$cnf( $equal(inverse(add(inverse(inverse(add(X_2,C))),inverse(add(inverse(add(X_2,C)),inverse(add(inverse(inverse(add(X_2,C))),C)))))),inverse(add(inverse(inverse(add(X_2,C))),inverse(add(inverse(add(X_2,C)),inverse(add(inverse(inverse(add(X_2,C))),C))))))) )],[refute_0_272,refute_0_273]) ).
cnf(refute_0_275,plain,
inverse(add(inverse(inverse(add(X_2,C))),inverse(add(inverse(add(X_2,C)),inverse(add(inverse(inverse(add(X_2,C))),C)))))) = inverse(add(add(X_2,C),inverse(add(inverse(add(X_2,C)),inverse(add(add(X_2,C),C)))))),
inference(resolve,[$cnf( $equal(add(inverse(inverse(add(X_2,C))),inverse(add(inverse(add(X_2,C)),inverse(add(inverse(inverse(add(X_2,C))),C))))),add(add(X_2,C),inverse(add(inverse(add(X_2,C)),inverse(add(add(X_2,C),C)))))) )],[refute_0_271,refute_0_274]) ).
cnf(refute_0_276,plain,
( inverse(add(add(X_2,C),inverse(add(inverse(add(X_2,C)),inverse(add(add(X_2,C),C)))))) != add(inverse(add(X_2,C)),inverse(add(add(X_2,C),C)))
| inverse(add(inverse(inverse(add(X_2,C))),inverse(add(inverse(add(X_2,C)),inverse(add(inverse(inverse(add(X_2,C))),C)))))) != inverse(add(add(X_2,C),inverse(add(inverse(add(X_2,C)),inverse(add(add(X_2,C),C))))))
| inverse(add(inverse(inverse(add(X_2,C))),inverse(add(inverse(add(X_2,C)),inverse(add(inverse(inverse(add(X_2,C))),C)))))) = add(inverse(add(X_2,C)),inverse(add(add(X_2,C),C))) ),
inference(subst,[],[refute_0_104:[bind(X,$fot(inverse(add(inverse(inverse(add(X_2,C))),inverse(add(inverse(add(X_2,C)),inverse(add(inverse(inverse(add(X_2,C))),C)))))))),bind(Y,$fot(inverse(add(add(X_2,C),inverse(add(inverse(add(X_2,C)),inverse(add(add(X_2,C),C)))))))),bind(Z,$fot(add(inverse(add(X_2,C)),inverse(add(add(X_2,C),C)))))]]) ).
cnf(refute_0_277,plain,
( inverse(add(add(X_2,C),inverse(add(inverse(add(X_2,C)),inverse(add(add(X_2,C),C)))))) != add(inverse(add(X_2,C)),inverse(add(add(X_2,C),C)))
| inverse(add(inverse(inverse(add(X_2,C))),inverse(add(inverse(add(X_2,C)),inverse(add(inverse(inverse(add(X_2,C))),C)))))) = add(inverse(add(X_2,C)),inverse(add(add(X_2,C),C))) ),
inference(resolve,[$cnf( $equal(inverse(add(inverse(inverse(add(X_2,C))),inverse(add(inverse(add(X_2,C)),inverse(add(inverse(inverse(add(X_2,C))),C)))))),inverse(add(add(X_2,C),inverse(add(inverse(add(X_2,C)),inverse(add(add(X_2,C),C))))))) )],[refute_0_275,refute_0_276]) ).
cnf(refute_0_278,plain,
inverse(add(inverse(inverse(add(X_2,C))),inverse(add(inverse(add(X_2,C)),inverse(add(inverse(inverse(add(X_2,C))),C)))))) = add(inverse(add(X_2,C)),inverse(add(add(X_2,C),C))),
inference(resolve,[$cnf( $equal(inverse(add(add(X_2,C),inverse(add(inverse(add(X_2,C)),inverse(add(add(X_2,C),C)))))),add(inverse(add(X_2,C)),inverse(add(add(X_2,C),C)))) )],[refute_0_243,refute_0_277]) ).
cnf(refute_0_279,plain,
( inverse(add(inverse(inverse(add(X_2,C))),inverse(add(inverse(add(X_2,C)),inverse(add(inverse(inverse(add(X_2,C))),C)))))) != add(inverse(add(X_2,C)),inverse(add(add(X_2,C),C)))
| inverse(add(inverse(inverse(add(X_2,C))),inverse(add(inverse(add(X_2,C)),inverse(add(inverse(inverse(add(X_2,C))),C)))))) != inverse(add(X_2,C))
| add(inverse(add(X_2,C)),inverse(add(add(X_2,C),C))) = inverse(add(X_2,C)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(inverse(add(X_2,C))),inverse(add(inverse(add(X_2,C)),inverse(add(inverse(inverse(add(X_2,C))),C)))))),inverse(add(X_2,C))) ),[0],$fot(add(inverse(add(X_2,C)),inverse(add(add(X_2,C),C))))]]) ).
cnf(refute_0_280,plain,
( inverse(add(inverse(inverse(add(X_2,C))),inverse(add(inverse(add(X_2,C)),inverse(add(inverse(inverse(add(X_2,C))),C)))))) != inverse(add(X_2,C))
| add(inverse(add(X_2,C)),inverse(add(add(X_2,C),C))) = inverse(add(X_2,C)) ),
inference(resolve,[$cnf( $equal(inverse(add(inverse(inverse(add(X_2,C))),inverse(add(inverse(add(X_2,C)),inverse(add(inverse(inverse(add(X_2,C))),C)))))),add(inverse(add(X_2,C)),inverse(add(add(X_2,C),C)))) )],[refute_0_278,refute_0_279]) ).
cnf(refute_0_281,plain,
add(inverse(add(X_2,C)),inverse(add(add(X_2,C),C))) = inverse(add(X_2,C)),
inference(resolve,[$cnf( $equal(inverse(add(inverse(inverse(add(X_2,C))),inverse(add(inverse(add(X_2,C)),inverse(add(inverse(inverse(add(X_2,C))),C)))))),inverse(add(X_2,C))) )],[refute_0_221,refute_0_280]) ).
cnf(refute_0_282,plain,
add(inverse(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107)))),inverse(add(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))),inverse(add(X_106,X_107))))) = inverse(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107)))),
inference(subst,[],[refute_0_281:[bind(C,$fot(inverse(add(X_106,X_107)))),bind(X_2,$fot(inverse(add(inverse(add(inverse(X_106),X_106)),X_107))))]]) ).
cnf(refute_0_283,plain,
inverse(X_97) = add(inverse(add(inverse(add(inverse(C),C)),X_97)),inverse(add(inverse(add(inverse(C),inverse(add(inverse(C),C)))),X_97))),
inference(subst,[],[refute_0_182:[bind(X_78,$fot(X_97)),bind(X_79,$fot(inverse(add(inverse(C),C)))),bind(X_80,$fot(inverse(C)))]]) ).
cnf(refute_0_284,plain,
inverse(inverse(add(X_53,inverse(add(X_53,inverse(X_53)))))) = add(X_53,inverse(add(X_53,inverse(X_53)))),
inference(subst,[],[refute_0_130:[bind(C,$fot(add(X_53,inverse(add(X_53,inverse(X_53))))))]]) ).
cnf(refute_0_285,plain,
inverse(add(inverse(add(inverse(C),inverse(add(C,C)))),inverse(add(inverse(inverse(C)),inverse(add(C,C)))))) = inverse(add(C,C)),
inference(subst,[],[refute_0_77:[bind(X_12,$fot(inverse(C))),bind(X_8,$fot(inverse(add(C,C))))]]) ).
cnf(refute_0_286,plain,
( inverse(add(inverse(C),inverse(add(C,C)))) != C
| inverse(add(inverse(add(inverse(C),inverse(add(C,C)))),inverse(add(inverse(inverse(C)),inverse(add(C,C)))))) != inverse(add(C,C))
| inverse(add(C,inverse(add(inverse(inverse(C)),inverse(add(C,C)))))) = inverse(add(C,C)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(add(inverse(C),inverse(add(C,C)))),inverse(add(inverse(inverse(C)),inverse(add(C,C)))))),inverse(add(C,C))) ),[0,0,0],$fot(C)]]) ).
cnf(refute_0_287,plain,
( inverse(add(inverse(add(inverse(C),inverse(add(C,C)))),inverse(add(inverse(inverse(C)),inverse(add(C,C)))))) != inverse(add(C,C))
| inverse(add(C,inverse(add(inverse(inverse(C)),inverse(add(C,C)))))) = inverse(add(C,C)) ),
inference(resolve,[$cnf( $equal(inverse(add(inverse(C),inverse(add(C,C)))),C) )],[refute_0_19,refute_0_286]) ).
cnf(refute_0_288,plain,
inverse(add(C,inverse(add(inverse(inverse(C)),inverse(add(C,C)))))) = inverse(add(C,C)),
inference(resolve,[$cnf( $equal(inverse(add(inverse(add(inverse(C),inverse(add(C,C)))),inverse(add(inverse(inverse(C)),inverse(add(C,C)))))),inverse(add(C,C))) )],[refute_0_285,refute_0_287]) ).
cnf(refute_0_289,plain,
add(C,inverse(add(C,C))) = add(C,inverse(add(C,C))),
introduced(tautology,[refl,[$fot(add(C,inverse(add(C,C))))]]) ).
cnf(refute_0_290,plain,
( add(C,inverse(add(C,C))) != add(C,inverse(add(C,C)))
| inverse(add(C,C)) != inverse(C)
| add(C,inverse(add(C,C))) = add(C,inverse(C)) ),
introduced(tautology,[equality,[$cnf( $equal(add(C,inverse(add(C,C))),add(C,inverse(add(C,C)))) ),[1,1],$fot(inverse(C))]]) ).
cnf(refute_0_291,plain,
( inverse(add(C,C)) != inverse(C)
| add(C,inverse(add(C,C))) = add(C,inverse(C)) ),
inference(resolve,[$cnf( $equal(add(C,inverse(add(C,C))),add(C,inverse(add(C,C)))) )],[refute_0_289,refute_0_290]) ).
cnf(refute_0_292,plain,
add(C,inverse(add(C,C))) = add(C,inverse(C)),
inference(resolve,[$cnf( $equal(inverse(add(C,C)),inverse(C)) )],[refute_0_98,refute_0_291]) ).
cnf(refute_0_293,plain,
add(inverse(inverse(C)),inverse(add(C,C))) = add(inverse(inverse(C)),inverse(add(C,C))),
introduced(tautology,[refl,[$fot(add(inverse(inverse(C)),inverse(add(C,C))))]]) ).
cnf(refute_0_294,plain,
( add(inverse(inverse(C)),inverse(add(C,C))) != add(inverse(inverse(C)),inverse(add(C,C)))
| inverse(inverse(C)) != C
| add(inverse(inverse(C)),inverse(add(C,C))) = add(C,inverse(add(C,C))) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(inverse(C)),inverse(add(C,C))),add(inverse(inverse(C)),inverse(add(C,C)))) ),[1,0],$fot(C)]]) ).
cnf(refute_0_295,plain,
( inverse(inverse(C)) != C
| add(inverse(inverse(C)),inverse(add(C,C))) = add(C,inverse(add(C,C))) ),
inference(resolve,[$cnf( $equal(add(inverse(inverse(C)),inverse(add(C,C))),add(inverse(inverse(C)),inverse(add(C,C)))) )],[refute_0_293,refute_0_294]) ).
cnf(refute_0_296,plain,
add(inverse(inverse(C)),inverse(add(C,C))) = add(C,inverse(add(C,C))),
inference(resolve,[$cnf( $equal(inverse(inverse(C)),C) )],[refute_0_130,refute_0_295]) ).
cnf(refute_0_297,plain,
( add(C,inverse(add(C,C))) != add(C,inverse(C))
| add(inverse(inverse(C)),inverse(add(C,C))) != add(C,inverse(add(C,C)))
| add(inverse(inverse(C)),inverse(add(C,C))) = add(C,inverse(C)) ),
inference(subst,[],[refute_0_104:[bind(X,$fot(add(inverse(inverse(C)),inverse(add(C,C))))),bind(Y,$fot(add(C,inverse(add(C,C))))),bind(Z,$fot(add(C,inverse(C))))]]) ).
cnf(refute_0_298,plain,
( add(C,inverse(add(C,C))) != add(C,inverse(C))
| add(inverse(inverse(C)),inverse(add(C,C))) = add(C,inverse(C)) ),
inference(resolve,[$cnf( $equal(add(inverse(inverse(C)),inverse(add(C,C))),add(C,inverse(add(C,C)))) )],[refute_0_296,refute_0_297]) ).
cnf(refute_0_299,plain,
add(inverse(inverse(C)),inverse(add(C,C))) = add(C,inverse(C)),
inference(resolve,[$cnf( $equal(add(C,inverse(add(C,C))),add(C,inverse(C))) )],[refute_0_292,refute_0_298]) ).
cnf(refute_0_300,plain,
inverse(add(inverse(inverse(C)),inverse(add(C,C)))) = inverse(add(inverse(inverse(C)),inverse(add(C,C)))),
introduced(tautology,[refl,[$fot(inverse(add(inverse(inverse(C)),inverse(add(C,C)))))]]) ).
cnf(refute_0_301,plain,
( add(inverse(inverse(C)),inverse(add(C,C))) != add(C,inverse(C))
| inverse(add(inverse(inverse(C)),inverse(add(C,C)))) != inverse(add(inverse(inverse(C)),inverse(add(C,C))))
| inverse(add(inverse(inverse(C)),inverse(add(C,C)))) = inverse(add(C,inverse(C))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(inverse(C)),inverse(add(C,C)))),inverse(add(inverse(inverse(C)),inverse(add(C,C))))) ),[1,0],$fot(add(C,inverse(C)))]]) ).
cnf(refute_0_302,plain,
( add(inverse(inverse(C)),inverse(add(C,C))) != add(C,inverse(C))
| inverse(add(inverse(inverse(C)),inverse(add(C,C)))) = inverse(add(C,inverse(C))) ),
inference(resolve,[$cnf( $equal(inverse(add(inverse(inverse(C)),inverse(add(C,C)))),inverse(add(inverse(inverse(C)),inverse(add(C,C))))) )],[refute_0_300,refute_0_301]) ).
cnf(refute_0_303,plain,
inverse(add(inverse(inverse(C)),inverse(add(C,C)))) = inverse(add(C,inverse(C))),
inference(resolve,[$cnf( $equal(add(inverse(inverse(C)),inverse(add(C,C))),add(C,inverse(C))) )],[refute_0_299,refute_0_302]) ).
cnf(refute_0_304,plain,
add(C,inverse(add(inverse(inverse(C)),inverse(add(C,C))))) = add(C,inverse(add(inverse(inverse(C)),inverse(add(C,C))))),
introduced(tautology,[refl,[$fot(add(C,inverse(add(inverse(inverse(C)),inverse(add(C,C))))))]]) ).
cnf(refute_0_305,plain,
( add(C,inverse(add(inverse(inverse(C)),inverse(add(C,C))))) != add(C,inverse(add(inverse(inverse(C)),inverse(add(C,C)))))
| inverse(add(inverse(inverse(C)),inverse(add(C,C)))) != inverse(add(C,inverse(C)))
| add(C,inverse(add(inverse(inverse(C)),inverse(add(C,C))))) = add(C,inverse(add(C,inverse(C)))) ),
introduced(tautology,[equality,[$cnf( $equal(add(C,inverse(add(inverse(inverse(C)),inverse(add(C,C))))),add(C,inverse(add(inverse(inverse(C)),inverse(add(C,C)))))) ),[1,1],$fot(inverse(add(C,inverse(C))))]]) ).
cnf(refute_0_306,plain,
( inverse(add(inverse(inverse(C)),inverse(add(C,C)))) != inverse(add(C,inverse(C)))
| add(C,inverse(add(inverse(inverse(C)),inverse(add(C,C))))) = add(C,inverse(add(C,inverse(C)))) ),
inference(resolve,[$cnf( $equal(add(C,inverse(add(inverse(inverse(C)),inverse(add(C,C))))),add(C,inverse(add(inverse(inverse(C)),inverse(add(C,C)))))) )],[refute_0_304,refute_0_305]) ).
cnf(refute_0_307,plain,
add(C,inverse(add(inverse(inverse(C)),inverse(add(C,C))))) = add(C,inverse(add(C,inverse(C)))),
inference(resolve,[$cnf( $equal(inverse(add(inverse(inverse(C)),inverse(add(C,C)))),inverse(add(C,inverse(C)))) )],[refute_0_303,refute_0_306]) ).
cnf(refute_0_308,plain,
inverse(add(C,inverse(add(inverse(inverse(C)),inverse(add(C,C)))))) = inverse(add(C,inverse(add(inverse(inverse(C)),inverse(add(C,C)))))),
introduced(tautology,[refl,[$fot(inverse(add(C,inverse(add(inverse(inverse(C)),inverse(add(C,C)))))))]]) ).
cnf(refute_0_309,plain,
( add(C,inverse(add(inverse(inverse(C)),inverse(add(C,C))))) != add(C,inverse(add(C,inverse(C))))
| inverse(add(C,inverse(add(inverse(inverse(C)),inverse(add(C,C)))))) != inverse(add(C,inverse(add(inverse(inverse(C)),inverse(add(C,C))))))
| inverse(add(C,inverse(add(inverse(inverse(C)),inverse(add(C,C)))))) = inverse(add(C,inverse(add(C,inverse(C))))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(add(C,inverse(add(inverse(inverse(C)),inverse(add(C,C)))))),inverse(add(C,inverse(add(inverse(inverse(C)),inverse(add(C,C))))))) ),[1,0],$fot(add(C,inverse(add(C,inverse(C)))))]]) ).
cnf(refute_0_310,plain,
( add(C,inverse(add(inverse(inverse(C)),inverse(add(C,C))))) != add(C,inverse(add(C,inverse(C))))
| inverse(add(C,inverse(add(inverse(inverse(C)),inverse(add(C,C)))))) = inverse(add(C,inverse(add(C,inverse(C))))) ),
inference(resolve,[$cnf( $equal(inverse(add(C,inverse(add(inverse(inverse(C)),inverse(add(C,C)))))),inverse(add(C,inverse(add(inverse(inverse(C)),inverse(add(C,C))))))) )],[refute_0_308,refute_0_309]) ).
cnf(refute_0_311,plain,
inverse(add(C,inverse(add(inverse(inverse(C)),inverse(add(C,C)))))) = inverse(add(C,inverse(add(C,inverse(C))))),
inference(resolve,[$cnf( $equal(add(C,inverse(add(inverse(inverse(C)),inverse(add(C,C))))),add(C,inverse(add(C,inverse(C))))) )],[refute_0_307,refute_0_310]) ).
cnf(refute_0_312,plain,
( inverse(add(C,inverse(add(inverse(inverse(C)),inverse(add(C,C)))))) != inverse(add(C,C))
| inverse(add(C,inverse(add(inverse(inverse(C)),inverse(add(C,C)))))) != inverse(add(C,inverse(add(C,inverse(C)))))
| inverse(add(C,inverse(add(C,inverse(C))))) = inverse(add(C,C)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(add(C,inverse(add(inverse(inverse(C)),inverse(add(C,C)))))),inverse(add(C,C))) ),[0],$fot(inverse(add(C,inverse(add(C,inverse(C))))))]]) ).
cnf(refute_0_313,plain,
( inverse(add(C,inverse(add(inverse(inverse(C)),inverse(add(C,C)))))) != inverse(add(C,C))
| inverse(add(C,inverse(add(C,inverse(C))))) = inverse(add(C,C)) ),
inference(resolve,[$cnf( $equal(inverse(add(C,inverse(add(inverse(inverse(C)),inverse(add(C,C)))))),inverse(add(C,inverse(add(C,inverse(C)))))) )],[refute_0_311,refute_0_312]) ).
cnf(refute_0_314,plain,
( inverse(add(C,C)) != inverse(C)
| inverse(add(C,inverse(add(C,inverse(C))))) != inverse(add(C,C))
| inverse(add(C,inverse(add(C,inverse(C))))) = inverse(C) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(add(C,inverse(add(C,inverse(C))))),inverse(add(C,C))) ),[1],$fot(inverse(C))]]) ).
cnf(refute_0_315,plain,
( inverse(add(C,inverse(add(C,inverse(C))))) != inverse(add(C,C))
| inverse(add(C,inverse(add(C,inverse(C))))) = inverse(C) ),
inference(resolve,[$cnf( $equal(inverse(add(C,C)),inverse(C)) )],[refute_0_98,refute_0_314]) ).
cnf(refute_0_316,plain,
( inverse(add(C,inverse(add(inverse(inverse(C)),inverse(add(C,C)))))) != inverse(add(C,C))
| inverse(add(C,inverse(add(C,inverse(C))))) = inverse(C) ),
inference(resolve,[$cnf( $equal(inverse(add(C,inverse(add(C,inverse(C))))),inverse(add(C,C))) )],[refute_0_313,refute_0_315]) ).
cnf(refute_0_317,plain,
inverse(add(C,inverse(add(C,inverse(C))))) = inverse(C),
inference(resolve,[$cnf( $equal(inverse(add(C,inverse(add(inverse(inverse(C)),inverse(add(C,C)))))),inverse(add(C,C))) )],[refute_0_288,refute_0_316]) ).
cnf(refute_0_318,plain,
inverse(add(X_53,inverse(add(X_53,inverse(X_53))))) = inverse(X_53),
inference(subst,[],[refute_0_317:[bind(C,$fot(X_53))]]) ).
cnf(refute_0_319,plain,
( inverse(add(X_53,inverse(add(X_53,inverse(X_53))))) != inverse(X_53)
| inverse(inverse(add(X_53,inverse(add(X_53,inverse(X_53)))))) != add(X_53,inverse(add(X_53,inverse(X_53))))
| inverse(inverse(X_53)) = add(X_53,inverse(add(X_53,inverse(X_53)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(add(X_53,inverse(add(X_53,inverse(X_53)))))),add(X_53,inverse(add(X_53,inverse(X_53))))) ),[0,0],$fot(inverse(X_53))]]) ).
cnf(refute_0_320,plain,
( inverse(inverse(add(X_53,inverse(add(X_53,inverse(X_53)))))) != add(X_53,inverse(add(X_53,inverse(X_53))))
| inverse(inverse(X_53)) = add(X_53,inverse(add(X_53,inverse(X_53)))) ),
inference(resolve,[$cnf( $equal(inverse(add(X_53,inverse(add(X_53,inverse(X_53))))),inverse(X_53)) )],[refute_0_318,refute_0_319]) ).
cnf(refute_0_321,plain,
inverse(inverse(X_53)) = add(X_53,inverse(add(X_53,inverse(X_53)))),
inference(resolve,[$cnf( $equal(inverse(inverse(add(X_53,inverse(add(X_53,inverse(X_53)))))),add(X_53,inverse(add(X_53,inverse(X_53))))) )],[refute_0_284,refute_0_320]) ).
cnf(refute_0_322,plain,
inverse(inverse(X_53)) = X_53,
inference(subst,[],[refute_0_130:[bind(C,$fot(X_53))]]) ).
cnf(refute_0_323,plain,
( inverse(inverse(X_53)) != X_53
| inverse(inverse(X_53)) != add(X_53,inverse(add(X_53,inverse(X_53))))
| X_53 = add(X_53,inverse(add(X_53,inverse(X_53)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(X_53)),add(X_53,inverse(add(X_53,inverse(X_53))))) ),[0],$fot(X_53)]]) ).
cnf(refute_0_324,plain,
( inverse(inverse(X_53)) != add(X_53,inverse(add(X_53,inverse(X_53))))
| X_53 = add(X_53,inverse(add(X_53,inverse(X_53)))) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_53)),X_53) )],[refute_0_322,refute_0_323]) ).
cnf(refute_0_325,plain,
X_53 = add(X_53,inverse(add(X_53,inverse(X_53)))),
inference(resolve,[$cnf( $equal(inverse(inverse(X_53)),add(X_53,inverse(add(X_53,inverse(X_53))))) )],[refute_0_321,refute_0_324]) ).
cnf(refute_0_326,plain,
inverse(C) = add(inverse(C),inverse(add(inverse(C),inverse(inverse(C))))),
inference(subst,[],[refute_0_325:[bind(X_53,$fot(inverse(C)))]]) ).
cnf(refute_0_327,plain,
( inverse(C) != add(inverse(C),inverse(add(inverse(C),inverse(inverse(C)))))
| inverse(inverse(C)) != C
| inverse(C) = add(inverse(C),inverse(add(inverse(C),C))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(C),add(inverse(C),inverse(add(inverse(C),inverse(inverse(C)))))) ),[1,1,0,1],$fot(C)]]) ).
cnf(refute_0_328,plain,
( inverse(C) != add(inverse(C),inverse(add(inverse(C),inverse(inverse(C)))))
| inverse(C) = add(inverse(C),inverse(add(inverse(C),C))) ),
inference(resolve,[$cnf( $equal(inverse(inverse(C)),C) )],[refute_0_130,refute_0_327]) ).
cnf(refute_0_329,plain,
inverse(C) = add(inverse(C),inverse(add(inverse(C),C))),
inference(resolve,[$cnf( $equal(inverse(C),add(inverse(C),inverse(add(inverse(C),inverse(inverse(C)))))) )],[refute_0_326,refute_0_328]) ).
cnf(refute_0_330,plain,
( inverse(C) != add(inverse(C),inverse(add(inverse(C),C)))
| add(inverse(C),inverse(add(inverse(C),C))) = inverse(C) ),
inference(subst,[],[refute_0_102:[bind(X,$fot(inverse(C))),bind(Y,$fot(add(inverse(C),inverse(add(inverse(C),C)))))]]) ).
cnf(refute_0_331,plain,
add(inverse(C),inverse(add(inverse(C),C))) = inverse(C),
inference(resolve,[$cnf( $equal(inverse(C),add(inverse(C),inverse(add(inverse(C),C)))) )],[refute_0_329,refute_0_330]) ).
cnf(refute_0_332,plain,
( add(inverse(C),inverse(add(inverse(C),C))) != inverse(C)
| inverse(X_97) != add(inverse(add(inverse(add(inverse(C),C)),X_97)),inverse(add(inverse(add(inverse(C),inverse(add(inverse(C),C)))),X_97)))
| inverse(X_97) = add(inverse(add(inverse(add(inverse(C),C)),X_97)),inverse(add(inverse(inverse(C)),X_97))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(X_97),add(inverse(add(inverse(add(inverse(C),C)),X_97)),inverse(add(inverse(add(inverse(C),inverse(add(inverse(C),C)))),X_97)))) ),[1,1,0,0,0],$fot(inverse(C))]]) ).
cnf(refute_0_333,plain,
( inverse(X_97) != add(inverse(add(inverse(add(inverse(C),C)),X_97)),inverse(add(inverse(add(inverse(C),inverse(add(inverse(C),C)))),X_97)))
| inverse(X_97) = add(inverse(add(inverse(add(inverse(C),C)),X_97)),inverse(add(inverse(inverse(C)),X_97))) ),
inference(resolve,[$cnf( $equal(add(inverse(C),inverse(add(inverse(C),C))),inverse(C)) )],[refute_0_331,refute_0_332]) ).
cnf(refute_0_334,plain,
inverse(X_97) = add(inverse(add(inverse(add(inverse(C),C)),X_97)),inverse(add(inverse(inverse(C)),X_97))),
inference(resolve,[$cnf( $equal(inverse(X_97),add(inverse(add(inverse(add(inverse(C),C)),X_97)),inverse(add(inverse(add(inverse(C),inverse(add(inverse(C),C)))),X_97)))) )],[refute_0_283,refute_0_333]) ).
cnf(refute_0_335,plain,
add(inverse(inverse(C)),X_97) = add(inverse(inverse(C)),X_97),
introduced(tautology,[refl,[$fot(add(inverse(inverse(C)),X_97))]]) ).
cnf(refute_0_336,plain,
( add(inverse(inverse(C)),X_97) != add(inverse(inverse(C)),X_97)
| inverse(inverse(C)) != C
| add(inverse(inverse(C)),X_97) = add(C,X_97) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(inverse(C)),X_97),add(inverse(inverse(C)),X_97)) ),[1,0],$fot(C)]]) ).
cnf(refute_0_337,plain,
( inverse(inverse(C)) != C
| add(inverse(inverse(C)),X_97) = add(C,X_97) ),
inference(resolve,[$cnf( $equal(add(inverse(inverse(C)),X_97),add(inverse(inverse(C)),X_97)) )],[refute_0_335,refute_0_336]) ).
cnf(refute_0_338,plain,
add(inverse(inverse(C)),X_97) = add(C,X_97),
inference(resolve,[$cnf( $equal(inverse(inverse(C)),C) )],[refute_0_130,refute_0_337]) ).
cnf(refute_0_339,plain,
inverse(add(inverse(inverse(C)),X_97)) = inverse(add(inverse(inverse(C)),X_97)),
introduced(tautology,[refl,[$fot(inverse(add(inverse(inverse(C)),X_97)))]]) ).
cnf(refute_0_340,plain,
( add(inverse(inverse(C)),X_97) != add(C,X_97)
| inverse(add(inverse(inverse(C)),X_97)) != inverse(add(inverse(inverse(C)),X_97))
| inverse(add(inverse(inverse(C)),X_97)) = inverse(add(C,X_97)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(inverse(C)),X_97)),inverse(add(inverse(inverse(C)),X_97))) ),[1,0],$fot(add(C,X_97))]]) ).
cnf(refute_0_341,plain,
( add(inverse(inverse(C)),X_97) != add(C,X_97)
| inverse(add(inverse(inverse(C)),X_97)) = inverse(add(C,X_97)) ),
inference(resolve,[$cnf( $equal(inverse(add(inverse(inverse(C)),X_97)),inverse(add(inverse(inverse(C)),X_97))) )],[refute_0_339,refute_0_340]) ).
cnf(refute_0_342,plain,
inverse(add(inverse(inverse(C)),X_97)) = inverse(add(C,X_97)),
inference(resolve,[$cnf( $equal(add(inverse(inverse(C)),X_97),add(C,X_97)) )],[refute_0_338,refute_0_341]) ).
cnf(refute_0_343,plain,
add(inverse(add(inverse(add(inverse(C),C)),X_97)),inverse(add(inverse(inverse(C)),X_97))) = add(inverse(add(inverse(add(inverse(C),C)),X_97)),inverse(add(inverse(inverse(C)),X_97))),
introduced(tautology,[refl,[$fot(add(inverse(add(inverse(add(inverse(C),C)),X_97)),inverse(add(inverse(inverse(C)),X_97))))]]) ).
cnf(refute_0_344,plain,
( add(inverse(add(inverse(add(inverse(C),C)),X_97)),inverse(add(inverse(inverse(C)),X_97))) != add(inverse(add(inverse(add(inverse(C),C)),X_97)),inverse(add(inverse(inverse(C)),X_97)))
| inverse(add(inverse(inverse(C)),X_97)) != inverse(add(C,X_97))
| add(inverse(add(inverse(add(inverse(C),C)),X_97)),inverse(add(inverse(inverse(C)),X_97))) = add(inverse(add(inverse(add(inverse(C),C)),X_97)),inverse(add(C,X_97))) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(add(inverse(add(inverse(C),C)),X_97)),inverse(add(inverse(inverse(C)),X_97))),add(inverse(add(inverse(add(inverse(C),C)),X_97)),inverse(add(inverse(inverse(C)),X_97)))) ),[1,1],$fot(inverse(add(C,X_97)))]]) ).
cnf(refute_0_345,plain,
( inverse(add(inverse(inverse(C)),X_97)) != inverse(add(C,X_97))
| add(inverse(add(inverse(add(inverse(C),C)),X_97)),inverse(add(inverse(inverse(C)),X_97))) = add(inverse(add(inverse(add(inverse(C),C)),X_97)),inverse(add(C,X_97))) ),
inference(resolve,[$cnf( $equal(add(inverse(add(inverse(add(inverse(C),C)),X_97)),inverse(add(inverse(inverse(C)),X_97))),add(inverse(add(inverse(add(inverse(C),C)),X_97)),inverse(add(inverse(inverse(C)),X_97)))) )],[refute_0_343,refute_0_344]) ).
cnf(refute_0_346,plain,
add(inverse(add(inverse(add(inverse(C),C)),X_97)),inverse(add(inverse(inverse(C)),X_97))) = add(inverse(add(inverse(add(inverse(C),C)),X_97)),inverse(add(C,X_97))),
inference(resolve,[$cnf( $equal(inverse(add(inverse(inverse(C)),X_97)),inverse(add(C,X_97))) )],[refute_0_342,refute_0_345]) ).
cnf(refute_0_347,plain,
( add(inverse(add(inverse(add(inverse(C),C)),X_97)),inverse(add(inverse(inverse(C)),X_97))) != add(inverse(add(inverse(add(inverse(C),C)),X_97)),inverse(add(C,X_97)))
| inverse(X_97) != add(inverse(add(inverse(add(inverse(C),C)),X_97)),inverse(add(inverse(inverse(C)),X_97)))
| inverse(X_97) = add(inverse(add(inverse(add(inverse(C),C)),X_97)),inverse(add(C,X_97))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(X_97),add(inverse(add(inverse(add(inverse(C),C)),X_97)),inverse(add(inverse(inverse(C)),X_97)))) ),[1],$fot(add(inverse(add(inverse(add(inverse(C),C)),X_97)),inverse(add(C,X_97))))]]) ).
cnf(refute_0_348,plain,
( inverse(X_97) != add(inverse(add(inverse(add(inverse(C),C)),X_97)),inverse(add(inverse(inverse(C)),X_97)))
| inverse(X_97) = add(inverse(add(inverse(add(inverse(C),C)),X_97)),inverse(add(C,X_97))) ),
inference(resolve,[$cnf( $equal(add(inverse(add(inverse(add(inverse(C),C)),X_97)),inverse(add(inverse(inverse(C)),X_97))),add(inverse(add(inverse(add(inverse(C),C)),X_97)),inverse(add(C,X_97)))) )],[refute_0_346,refute_0_347]) ).
cnf(refute_0_349,plain,
inverse(X_97) = add(inverse(add(inverse(add(inverse(C),C)),X_97)),inverse(add(C,X_97))),
inference(resolve,[$cnf( $equal(inverse(X_97),add(inverse(add(inverse(add(inverse(C),C)),X_97)),inverse(add(inverse(inverse(C)),X_97)))) )],[refute_0_334,refute_0_348]) ).
cnf(refute_0_350,plain,
inverse(X_107) = add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))),
inference(subst,[],[refute_0_349:[bind(C,$fot(X_106)),bind(X_97,$fot(X_107))]]) ).
cnf(refute_0_351,plain,
( inverse(X_107) != add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107)))
| add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))) = inverse(X_107) ),
inference(subst,[],[refute_0_102:[bind(X,$fot(inverse(X_107))),bind(Y,$fot(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107)))))]]) ).
cnf(refute_0_352,plain,
add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))) = inverse(X_107),
inference(resolve,[$cnf( $equal(inverse(X_107),add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107)))) )],[refute_0_350,refute_0_351]) ).
cnf(refute_0_353,plain,
( add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))) != inverse(X_107)
| add(inverse(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107)))),inverse(add(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))),inverse(add(X_106,X_107))))) != inverse(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))))
| add(inverse(inverse(X_107)),inverse(add(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))),inverse(add(X_106,X_107))))) = inverse(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107)))) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107)))),inverse(add(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))),inverse(add(X_106,X_107))))),inverse(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))))) ),[0,0,0],$fot(inverse(X_107))]]) ).
cnf(refute_0_354,plain,
( add(inverse(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107)))),inverse(add(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))),inverse(add(X_106,X_107))))) != inverse(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))))
| add(inverse(inverse(X_107)),inverse(add(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))),inverse(add(X_106,X_107))))) = inverse(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107)))) ),
inference(resolve,[$cnf( $equal(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))),inverse(X_107)) )],[refute_0_352,refute_0_353]) ).
cnf(refute_0_355,plain,
add(inverse(inverse(X_107)),inverse(add(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))),inverse(add(X_106,X_107))))) = inverse(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107)))),
inference(resolve,[$cnf( $equal(add(inverse(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107)))),inverse(add(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))),inverse(add(X_106,X_107))))),inverse(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))))) )],[refute_0_282,refute_0_354]) ).
cnf(refute_0_356,plain,
add(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))),inverse(add(X_106,X_107))) = add(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))),inverse(add(X_106,X_107))),
introduced(tautology,[refl,[$fot(add(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))),inverse(add(X_106,X_107))))]]) ).
cnf(refute_0_357,plain,
( add(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))),inverse(add(X_106,X_107))) != add(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))),inverse(add(X_106,X_107)))
| add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))) != inverse(X_107)
| add(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))),inverse(add(X_106,X_107))) = add(inverse(X_107),inverse(add(X_106,X_107))) ),
introduced(tautology,[equality,[$cnf( $equal(add(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))),inverse(add(X_106,X_107))),add(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))),inverse(add(X_106,X_107)))) ),[1,0],$fot(inverse(X_107))]]) ).
cnf(refute_0_358,plain,
( add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))) != inverse(X_107)
| add(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))),inverse(add(X_106,X_107))) = add(inverse(X_107),inverse(add(X_106,X_107))) ),
inference(resolve,[$cnf( $equal(add(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))),inverse(add(X_106,X_107))),add(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))),inverse(add(X_106,X_107)))) )],[refute_0_356,refute_0_357]) ).
cnf(refute_0_359,plain,
add(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))),inverse(add(X_106,X_107))) = add(inverse(X_107),inverse(add(X_106,X_107))),
inference(resolve,[$cnf( $equal(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))),inverse(X_107)) )],[refute_0_352,refute_0_358]) ).
cnf(refute_0_360,plain,
inverse(add(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))),inverse(add(X_106,X_107)))) = inverse(add(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))),inverse(add(X_106,X_107)))),
introduced(tautology,[refl,[$fot(inverse(add(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))),inverse(add(X_106,X_107)))))]]) ).
cnf(refute_0_361,plain,
( add(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))),inverse(add(X_106,X_107))) != add(inverse(X_107),inverse(add(X_106,X_107)))
| inverse(add(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))),inverse(add(X_106,X_107)))) != inverse(add(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))),inverse(add(X_106,X_107))))
| inverse(add(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))),inverse(add(X_106,X_107)))) = inverse(add(inverse(X_107),inverse(add(X_106,X_107)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(add(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))),inverse(add(X_106,X_107)))),inverse(add(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))),inverse(add(X_106,X_107))))) ),[1,0],$fot(add(inverse(X_107),inverse(add(X_106,X_107))))]]) ).
cnf(refute_0_362,plain,
( add(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))),inverse(add(X_106,X_107))) != add(inverse(X_107),inverse(add(X_106,X_107)))
| inverse(add(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))),inverse(add(X_106,X_107)))) = inverse(add(inverse(X_107),inverse(add(X_106,X_107)))) ),
inference(resolve,[$cnf( $equal(inverse(add(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))),inverse(add(X_106,X_107)))),inverse(add(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))),inverse(add(X_106,X_107))))) )],[refute_0_360,refute_0_361]) ).
cnf(refute_0_363,plain,
inverse(add(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))),inverse(add(X_106,X_107)))) = inverse(add(inverse(X_107),inverse(add(X_106,X_107)))),
inference(resolve,[$cnf( $equal(add(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))),inverse(add(X_106,X_107))),add(inverse(X_107),inverse(add(X_106,X_107)))) )],[refute_0_359,refute_0_362]) ).
cnf(refute_0_364,plain,
add(X_107,inverse(add(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))),inverse(add(X_106,X_107))))) = add(X_107,inverse(add(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))),inverse(add(X_106,X_107))))),
introduced(tautology,[refl,[$fot(add(X_107,inverse(add(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))),inverse(add(X_106,X_107))))))]]) ).
cnf(refute_0_365,plain,
( add(X_107,inverse(add(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))),inverse(add(X_106,X_107))))) != add(X_107,inverse(add(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))),inverse(add(X_106,X_107)))))
| inverse(add(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))),inverse(add(X_106,X_107)))) != inverse(add(inverse(X_107),inverse(add(X_106,X_107))))
| add(X_107,inverse(add(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))),inverse(add(X_106,X_107))))) = add(X_107,inverse(add(inverse(X_107),inverse(add(X_106,X_107))))) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_107,inverse(add(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))),inverse(add(X_106,X_107))))),add(X_107,inverse(add(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))),inverse(add(X_106,X_107)))))) ),[1,1],$fot(inverse(add(inverse(X_107),inverse(add(X_106,X_107)))))]]) ).
cnf(refute_0_366,plain,
( inverse(add(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))),inverse(add(X_106,X_107)))) != inverse(add(inverse(X_107),inverse(add(X_106,X_107))))
| add(X_107,inverse(add(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))),inverse(add(X_106,X_107))))) = add(X_107,inverse(add(inverse(X_107),inverse(add(X_106,X_107))))) ),
inference(resolve,[$cnf( $equal(add(X_107,inverse(add(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))),inverse(add(X_106,X_107))))),add(X_107,inverse(add(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))),inverse(add(X_106,X_107)))))) )],[refute_0_364,refute_0_365]) ).
cnf(refute_0_367,plain,
add(X_107,inverse(add(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))),inverse(add(X_106,X_107))))) = add(X_107,inverse(add(inverse(X_107),inverse(add(X_106,X_107))))),
inference(resolve,[$cnf( $equal(inverse(add(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))),inverse(add(X_106,X_107)))),inverse(add(inverse(X_107),inverse(add(X_106,X_107))))) )],[refute_0_363,refute_0_366]) ).
cnf(refute_0_368,plain,
inverse(inverse(X_107)) = X_107,
inference(subst,[],[refute_0_130:[bind(C,$fot(X_107))]]) ).
cnf(refute_0_369,plain,
add(inverse(inverse(X_107)),inverse(add(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))),inverse(add(X_106,X_107))))) = add(inverse(inverse(X_107)),inverse(add(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))),inverse(add(X_106,X_107))))),
introduced(tautology,[refl,[$fot(add(inverse(inverse(X_107)),inverse(add(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))),inverse(add(X_106,X_107))))))]]) ).
cnf(refute_0_370,plain,
( add(inverse(inverse(X_107)),inverse(add(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))),inverse(add(X_106,X_107))))) != add(inverse(inverse(X_107)),inverse(add(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))),inverse(add(X_106,X_107)))))
| inverse(inverse(X_107)) != X_107
| add(inverse(inverse(X_107)),inverse(add(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))),inverse(add(X_106,X_107))))) = add(X_107,inverse(add(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))),inverse(add(X_106,X_107))))) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(inverse(X_107)),inverse(add(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))),inverse(add(X_106,X_107))))),add(inverse(inverse(X_107)),inverse(add(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))),inverse(add(X_106,X_107)))))) ),[1,0],$fot(X_107)]]) ).
cnf(refute_0_371,plain,
( inverse(inverse(X_107)) != X_107
| add(inverse(inverse(X_107)),inverse(add(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))),inverse(add(X_106,X_107))))) = add(X_107,inverse(add(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))),inverse(add(X_106,X_107))))) ),
inference(resolve,[$cnf( $equal(add(inverse(inverse(X_107)),inverse(add(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))),inverse(add(X_106,X_107))))),add(inverse(inverse(X_107)),inverse(add(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))),inverse(add(X_106,X_107)))))) )],[refute_0_369,refute_0_370]) ).
cnf(refute_0_372,plain,
add(inverse(inverse(X_107)),inverse(add(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))),inverse(add(X_106,X_107))))) = add(X_107,inverse(add(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))),inverse(add(X_106,X_107))))),
inference(resolve,[$cnf( $equal(inverse(inverse(X_107)),X_107) )],[refute_0_368,refute_0_371]) ).
cnf(refute_0_373,plain,
( add(X_107,inverse(add(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))),inverse(add(X_106,X_107))))) != add(X_107,inverse(add(inverse(X_107),inverse(add(X_106,X_107)))))
| add(inverse(inverse(X_107)),inverse(add(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))),inverse(add(X_106,X_107))))) != add(X_107,inverse(add(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))),inverse(add(X_106,X_107)))))
| add(inverse(inverse(X_107)),inverse(add(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))),inverse(add(X_106,X_107))))) = add(X_107,inverse(add(inverse(X_107),inverse(add(X_106,X_107))))) ),
inference(subst,[],[refute_0_104:[bind(X,$fot(add(inverse(inverse(X_107)),inverse(add(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))),inverse(add(X_106,X_107))))))),bind(Y,$fot(add(X_107,inverse(add(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))),inverse(add(X_106,X_107))))))),bind(Z,$fot(add(X_107,inverse(add(inverse(X_107),inverse(add(X_106,X_107)))))))]]) ).
cnf(refute_0_374,plain,
( add(X_107,inverse(add(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))),inverse(add(X_106,X_107))))) != add(X_107,inverse(add(inverse(X_107),inverse(add(X_106,X_107)))))
| add(inverse(inverse(X_107)),inverse(add(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))),inverse(add(X_106,X_107))))) = add(X_107,inverse(add(inverse(X_107),inverse(add(X_106,X_107))))) ),
inference(resolve,[$cnf( $equal(add(inverse(inverse(X_107)),inverse(add(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))),inverse(add(X_106,X_107))))),add(X_107,inverse(add(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))),inverse(add(X_106,X_107)))))) )],[refute_0_372,refute_0_373]) ).
cnf(refute_0_375,plain,
add(inverse(inverse(X_107)),inverse(add(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))),inverse(add(X_106,X_107))))) = add(X_107,inverse(add(inverse(X_107),inverse(add(X_106,X_107))))),
inference(resolve,[$cnf( $equal(add(X_107,inverse(add(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))),inverse(add(X_106,X_107))))),add(X_107,inverse(add(inverse(X_107),inverse(add(X_106,X_107)))))) )],[refute_0_367,refute_0_374]) ).
cnf(refute_0_376,plain,
( add(inverse(inverse(X_107)),inverse(add(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))),inverse(add(X_106,X_107))))) != add(X_107,inverse(add(inverse(X_107),inverse(add(X_106,X_107)))))
| add(inverse(inverse(X_107)),inverse(add(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))),inverse(add(X_106,X_107))))) != inverse(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))))
| add(X_107,inverse(add(inverse(X_107),inverse(add(X_106,X_107))))) = inverse(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107)))) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(inverse(X_107)),inverse(add(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))),inverse(add(X_106,X_107))))),inverse(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))))) ),[0],$fot(add(X_107,inverse(add(inverse(X_107),inverse(add(X_106,X_107))))))]]) ).
cnf(refute_0_377,plain,
( add(inverse(inverse(X_107)),inverse(add(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))),inverse(add(X_106,X_107))))) != inverse(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))))
| add(X_107,inverse(add(inverse(X_107),inverse(add(X_106,X_107))))) = inverse(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107)))) ),
inference(resolve,[$cnf( $equal(add(inverse(inverse(X_107)),inverse(add(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))),inverse(add(X_106,X_107))))),add(X_107,inverse(add(inverse(X_107),inverse(add(X_106,X_107)))))) )],[refute_0_375,refute_0_376]) ).
cnf(refute_0_378,plain,
inverse(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107)))) = inverse(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107)))),
introduced(tautology,[refl,[$fot(inverse(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107)))))]]) ).
cnf(refute_0_379,plain,
( add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))) != inverse(X_107)
| inverse(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107)))) != inverse(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))))
| inverse(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107)))) = inverse(inverse(X_107)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107)))),inverse(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))))) ),[1,0],$fot(inverse(X_107))]]) ).
cnf(refute_0_380,plain,
( add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))) != inverse(X_107)
| inverse(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107)))) = inverse(inverse(X_107)) ),
inference(resolve,[$cnf( $equal(inverse(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107)))),inverse(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))))) )],[refute_0_378,refute_0_379]) ).
cnf(refute_0_381,plain,
inverse(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107)))) = inverse(inverse(X_107)),
inference(resolve,[$cnf( $equal(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))),inverse(X_107)) )],[refute_0_352,refute_0_380]) ).
cnf(refute_0_382,plain,
( inverse(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107)))) != inverse(inverse(X_107))
| inverse(inverse(X_107)) != X_107
| inverse(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107)))) = X_107 ),
inference(subst,[],[refute_0_104:[bind(X,$fot(inverse(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107)))))),bind(Y,$fot(inverse(inverse(X_107)))),bind(Z,$fot(X_107))]]) ).
cnf(refute_0_383,plain,
( inverse(inverse(X_107)) != X_107
| inverse(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107)))) = X_107 ),
inference(resolve,[$cnf( $equal(inverse(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107)))),inverse(inverse(X_107))) )],[refute_0_381,refute_0_382]) ).
cnf(refute_0_384,plain,
inverse(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107)))) = X_107,
inference(resolve,[$cnf( $equal(inverse(inverse(X_107)),X_107) )],[refute_0_368,refute_0_383]) ).
cnf(refute_0_385,plain,
( add(X_107,inverse(add(inverse(X_107),inverse(add(X_106,X_107))))) != inverse(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))))
| inverse(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107)))) != X_107
| add(X_107,inverse(add(inverse(X_107),inverse(add(X_106,X_107))))) = X_107 ),
introduced(tautology,[equality,[$cnf( ~ $equal(add(X_107,inverse(add(inverse(X_107),inverse(add(X_106,X_107))))),X_107) ),[0],$fot(inverse(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107)))))]]) ).
cnf(refute_0_386,plain,
( add(X_107,inverse(add(inverse(X_107),inverse(add(X_106,X_107))))) != inverse(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))))
| add(X_107,inverse(add(inverse(X_107),inverse(add(X_106,X_107))))) = X_107 ),
inference(resolve,[$cnf( $equal(inverse(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107)))),X_107) )],[refute_0_384,refute_0_385]) ).
cnf(refute_0_387,plain,
( add(inverse(inverse(X_107)),inverse(add(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))),inverse(add(X_106,X_107))))) != inverse(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))))
| add(X_107,inverse(add(inverse(X_107),inverse(add(X_106,X_107))))) = X_107 ),
inference(resolve,[$cnf( $equal(add(X_107,inverse(add(inverse(X_107),inverse(add(X_106,X_107))))),inverse(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))))) )],[refute_0_377,refute_0_386]) ).
cnf(refute_0_388,plain,
add(X_107,inverse(add(inverse(X_107),inverse(add(X_106,X_107))))) = X_107,
inference(resolve,[$cnf( $equal(add(inverse(inverse(X_107)),inverse(add(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))),inverse(add(X_106,X_107))))),inverse(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))))) )],[refute_0_355,refute_0_387]) ).
cnf(refute_0_389,plain,
add(X_136,inverse(add(inverse(X_136),inverse(add(X_136,X_136))))) = X_136,
inference(subst,[],[refute_0_388:[bind(X_106,$fot(X_136)),bind(X_107,$fot(X_136))]]) ).
cnf(refute_0_390,plain,
( add(X_136,inverse(add(inverse(X_136),inverse(add(X_136,X_136))))) != X_136
| inverse(add(X_136,inverse(add(inverse(add(X_136,X_135)),inverse(add(add(X_136,inverse(add(inverse(X_136),inverse(add(X_136,X_136))))),inverse(add(inverse(add(X_136,inverse(add(inverse(X_136),inverse(add(X_136,X_136)))))),X_133)))))))) != inverse(add(X_136,inverse(add(inverse(X_136),inverse(add(X_136,X_136))))))
| inverse(add(X_136,inverse(add(inverse(add(X_136,X_135)),inverse(add(add(X_136,inverse(add(inverse(X_136),inverse(add(X_136,X_136))))),inverse(add(inverse(X_136),X_133)))))))) = inverse(add(X_136,inverse(add(inverse(X_136),inverse(add(X_136,X_136)))))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(add(X_136,inverse(add(inverse(add(X_136,X_135)),inverse(add(add(X_136,inverse(add(inverse(X_136),inverse(add(X_136,X_136))))),inverse(add(inverse(add(X_136,inverse(add(inverse(X_136),inverse(add(X_136,X_136)))))),X_133)))))))),inverse(add(X_136,inverse(add(inverse(X_136),inverse(add(X_136,X_136))))))) ),[0,0,1,0,1,0,1,0,0,0],$fot(X_136)]]) ).
cnf(refute_0_391,plain,
( inverse(add(X_136,inverse(add(inverse(add(X_136,X_135)),inverse(add(add(X_136,inverse(add(inverse(X_136),inverse(add(X_136,X_136))))),inverse(add(inverse(add(X_136,inverse(add(inverse(X_136),inverse(add(X_136,X_136)))))),X_133)))))))) != inverse(add(X_136,inverse(add(inverse(X_136),inverse(add(X_136,X_136))))))
| inverse(add(X_136,inverse(add(inverse(add(X_136,X_135)),inverse(add(add(X_136,inverse(add(inverse(X_136),inverse(add(X_136,X_136))))),inverse(add(inverse(X_136),X_133)))))))) = inverse(add(X_136,inverse(add(inverse(X_136),inverse(add(X_136,X_136)))))) ),
inference(resolve,[$cnf( $equal(add(X_136,inverse(add(inverse(X_136),inverse(add(X_136,X_136))))),X_136) )],[refute_0_389,refute_0_390]) ).
cnf(refute_0_392,plain,
inverse(add(X_136,inverse(add(inverse(add(X_136,X_135)),inverse(add(add(X_136,inverse(add(inverse(X_136),inverse(add(X_136,X_136))))),inverse(add(inverse(X_136),X_133)))))))) = inverse(add(X_136,inverse(add(inverse(X_136),inverse(add(X_136,X_136)))))),
inference(resolve,[$cnf( $equal(inverse(add(X_136,inverse(add(inverse(add(X_136,X_135)),inverse(add(add(X_136,inverse(add(inverse(X_136),inverse(add(X_136,X_136))))),inverse(add(inverse(add(X_136,inverse(add(inverse(X_136),inverse(add(X_136,X_136)))))),X_133)))))))),inverse(add(X_136,inverse(add(inverse(X_136),inverse(add(X_136,X_136))))))) )],[refute_0_217,refute_0_391]) ).
cnf(refute_0_393,plain,
add(add(X_136,inverse(add(inverse(X_136),inverse(add(X_136,X_136))))),inverse(add(inverse(X_136),X_133))) = add(add(X_136,inverse(add(inverse(X_136),inverse(add(X_136,X_136))))),inverse(add(inverse(X_136),X_133))),
introduced(tautology,[refl,[$fot(add(add(X_136,inverse(add(inverse(X_136),inverse(add(X_136,X_136))))),inverse(add(inverse(X_136),X_133))))]]) ).
cnf(refute_0_394,plain,
( add(X_136,inverse(add(inverse(X_136),inverse(add(X_136,X_136))))) != X_136
| add(add(X_136,inverse(add(inverse(X_136),inverse(add(X_136,X_136))))),inverse(add(inverse(X_136),X_133))) != add(add(X_136,inverse(add(inverse(X_136),inverse(add(X_136,X_136))))),inverse(add(inverse(X_136),X_133)))
| add(add(X_136,inverse(add(inverse(X_136),inverse(add(X_136,X_136))))),inverse(add(inverse(X_136),X_133))) = add(X_136,inverse(add(inverse(X_136),X_133))) ),
introduced(tautology,[equality,[$cnf( $equal(add(add(X_136,inverse(add(inverse(X_136),inverse(add(X_136,X_136))))),inverse(add(inverse(X_136),X_133))),add(add(X_136,inverse(add(inverse(X_136),inverse(add(X_136,X_136))))),inverse(add(inverse(X_136),X_133)))) ),[1,0],$fot(X_136)]]) ).
cnf(refute_0_395,plain,
( add(X_136,inverse(add(inverse(X_136),inverse(add(X_136,X_136))))) != X_136
| add(add(X_136,inverse(add(inverse(X_136),inverse(add(X_136,X_136))))),inverse(add(inverse(X_136),X_133))) = add(X_136,inverse(add(inverse(X_136),X_133))) ),
inference(resolve,[$cnf( $equal(add(add(X_136,inverse(add(inverse(X_136),inverse(add(X_136,X_136))))),inverse(add(inverse(X_136),X_133))),add(add(X_136,inverse(add(inverse(X_136),inverse(add(X_136,X_136))))),inverse(add(inverse(X_136),X_133)))) )],[refute_0_393,refute_0_394]) ).
cnf(refute_0_396,plain,
add(add(X_136,inverse(add(inverse(X_136),inverse(add(X_136,X_136))))),inverse(add(inverse(X_136),X_133))) = add(X_136,inverse(add(inverse(X_136),X_133))),
inference(resolve,[$cnf( $equal(add(X_136,inverse(add(inverse(X_136),inverse(add(X_136,X_136))))),X_136) )],[refute_0_389,refute_0_395]) ).
cnf(refute_0_397,plain,
inverse(add(add(X_136,inverse(add(inverse(X_136),inverse(add(X_136,X_136))))),inverse(add(inverse(X_136),X_133)))) = inverse(add(add(X_136,inverse(add(inverse(X_136),inverse(add(X_136,X_136))))),inverse(add(inverse(X_136),X_133)))),
introduced(tautology,[refl,[$fot(inverse(add(add(X_136,inverse(add(inverse(X_136),inverse(add(X_136,X_136))))),inverse(add(inverse(X_136),X_133)))))]]) ).
cnf(refute_0_398,plain,
( add(add(X_136,inverse(add(inverse(X_136),inverse(add(X_136,X_136))))),inverse(add(inverse(X_136),X_133))) != add(X_136,inverse(add(inverse(X_136),X_133)))
| inverse(add(add(X_136,inverse(add(inverse(X_136),inverse(add(X_136,X_136))))),inverse(add(inverse(X_136),X_133)))) != inverse(add(add(X_136,inverse(add(inverse(X_136),inverse(add(X_136,X_136))))),inverse(add(inverse(X_136),X_133))))
| inverse(add(add(X_136,inverse(add(inverse(X_136),inverse(add(X_136,X_136))))),inverse(add(inverse(X_136),X_133)))) = inverse(add(X_136,inverse(add(inverse(X_136),X_133)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(add(add(X_136,inverse(add(inverse(X_136),inverse(add(X_136,X_136))))),inverse(add(inverse(X_136),X_133)))),inverse(add(add(X_136,inverse(add(inverse(X_136),inverse(add(X_136,X_136))))),inverse(add(inverse(X_136),X_133))))) ),[1,0],$fot(add(X_136,inverse(add(inverse(X_136),X_133))))]]) ).
cnf(refute_0_399,plain,
( add(add(X_136,inverse(add(inverse(X_136),inverse(add(X_136,X_136))))),inverse(add(inverse(X_136),X_133))) != add(X_136,inverse(add(inverse(X_136),X_133)))
| inverse(add(add(X_136,inverse(add(inverse(X_136),inverse(add(X_136,X_136))))),inverse(add(inverse(X_136),X_133)))) = inverse(add(X_136,inverse(add(inverse(X_136),X_133)))) ),
inference(resolve,[$cnf( $equal(inverse(add(add(X_136,inverse(add(inverse(X_136),inverse(add(X_136,X_136))))),inverse(add(inverse(X_136),X_133)))),inverse(add(add(X_136,inverse(add(inverse(X_136),inverse(add(X_136,X_136))))),inverse(add(inverse(X_136),X_133))))) )],[refute_0_397,refute_0_398]) ).
cnf(refute_0_400,plain,
inverse(add(add(X_136,inverse(add(inverse(X_136),inverse(add(X_136,X_136))))),inverse(add(inverse(X_136),X_133)))) = inverse(add(X_136,inverse(add(inverse(X_136),X_133)))),
inference(resolve,[$cnf( $equal(add(add(X_136,inverse(add(inverse(X_136),inverse(add(X_136,X_136))))),inverse(add(inverse(X_136),X_133))),add(X_136,inverse(add(inverse(X_136),X_133)))) )],[refute_0_396,refute_0_399]) ).
cnf(refute_0_401,plain,
add(inverse(add(X_136,X_135)),inverse(add(add(X_136,inverse(add(inverse(X_136),inverse(add(X_136,X_136))))),inverse(add(inverse(X_136),X_133))))) = add(inverse(add(X_136,X_135)),inverse(add(add(X_136,inverse(add(inverse(X_136),inverse(add(X_136,X_136))))),inverse(add(inverse(X_136),X_133))))),
introduced(tautology,[refl,[$fot(add(inverse(add(X_136,X_135)),inverse(add(add(X_136,inverse(add(inverse(X_136),inverse(add(X_136,X_136))))),inverse(add(inverse(X_136),X_133))))))]]) ).
cnf(refute_0_402,plain,
( add(inverse(add(X_136,X_135)),inverse(add(add(X_136,inverse(add(inverse(X_136),inverse(add(X_136,X_136))))),inverse(add(inverse(X_136),X_133))))) != add(inverse(add(X_136,X_135)),inverse(add(add(X_136,inverse(add(inverse(X_136),inverse(add(X_136,X_136))))),inverse(add(inverse(X_136),X_133)))))
| inverse(add(add(X_136,inverse(add(inverse(X_136),inverse(add(X_136,X_136))))),inverse(add(inverse(X_136),X_133)))) != inverse(add(X_136,inverse(add(inverse(X_136),X_133))))
| add(inverse(add(X_136,X_135)),inverse(add(add(X_136,inverse(add(inverse(X_136),inverse(add(X_136,X_136))))),inverse(add(inverse(X_136),X_133))))) = add(inverse(add(X_136,X_135)),inverse(add(X_136,inverse(add(inverse(X_136),X_133))))) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(add(X_136,X_135)),inverse(add(add(X_136,inverse(add(inverse(X_136),inverse(add(X_136,X_136))))),inverse(add(inverse(X_136),X_133))))),add(inverse(add(X_136,X_135)),inverse(add(add(X_136,inverse(add(inverse(X_136),inverse(add(X_136,X_136))))),inverse(add(inverse(X_136),X_133)))))) ),[1,1],$fot(inverse(add(X_136,inverse(add(inverse(X_136),X_133)))))]]) ).
cnf(refute_0_403,plain,
( inverse(add(add(X_136,inverse(add(inverse(X_136),inverse(add(X_136,X_136))))),inverse(add(inverse(X_136),X_133)))) != inverse(add(X_136,inverse(add(inverse(X_136),X_133))))
| add(inverse(add(X_136,X_135)),inverse(add(add(X_136,inverse(add(inverse(X_136),inverse(add(X_136,X_136))))),inverse(add(inverse(X_136),X_133))))) = add(inverse(add(X_136,X_135)),inverse(add(X_136,inverse(add(inverse(X_136),X_133))))) ),
inference(resolve,[$cnf( $equal(add(inverse(add(X_136,X_135)),inverse(add(add(X_136,inverse(add(inverse(X_136),inverse(add(X_136,X_136))))),inverse(add(inverse(X_136),X_133))))),add(inverse(add(X_136,X_135)),inverse(add(add(X_136,inverse(add(inverse(X_136),inverse(add(X_136,X_136))))),inverse(add(inverse(X_136),X_133)))))) )],[refute_0_401,refute_0_402]) ).
cnf(refute_0_404,plain,
add(inverse(add(X_136,X_135)),inverse(add(add(X_136,inverse(add(inverse(X_136),inverse(add(X_136,X_136))))),inverse(add(inverse(X_136),X_133))))) = add(inverse(add(X_136,X_135)),inverse(add(X_136,inverse(add(inverse(X_136),X_133))))),
inference(resolve,[$cnf( $equal(inverse(add(add(X_136,inverse(add(inverse(X_136),inverse(add(X_136,X_136))))),inverse(add(inverse(X_136),X_133)))),inverse(add(X_136,inverse(add(inverse(X_136),X_133))))) )],[refute_0_400,refute_0_403]) ).
cnf(refute_0_405,plain,
inverse(add(inverse(add(X_136,X_135)),inverse(add(add(X_136,inverse(add(inverse(X_136),inverse(add(X_136,X_136))))),inverse(add(inverse(X_136),X_133)))))) = inverse(add(inverse(add(X_136,X_135)),inverse(add(add(X_136,inverse(add(inverse(X_136),inverse(add(X_136,X_136))))),inverse(add(inverse(X_136),X_133)))))),
introduced(tautology,[refl,[$fot(inverse(add(inverse(add(X_136,X_135)),inverse(add(add(X_136,inverse(add(inverse(X_136),inverse(add(X_136,X_136))))),inverse(add(inverse(X_136),X_133)))))))]]) ).
cnf(refute_0_406,plain,
( add(inverse(add(X_136,X_135)),inverse(add(add(X_136,inverse(add(inverse(X_136),inverse(add(X_136,X_136))))),inverse(add(inverse(X_136),X_133))))) != add(inverse(add(X_136,X_135)),inverse(add(X_136,inverse(add(inverse(X_136),X_133)))))
| inverse(add(inverse(add(X_136,X_135)),inverse(add(add(X_136,inverse(add(inverse(X_136),inverse(add(X_136,X_136))))),inverse(add(inverse(X_136),X_133)))))) != inverse(add(inverse(add(X_136,X_135)),inverse(add(add(X_136,inverse(add(inverse(X_136),inverse(add(X_136,X_136))))),inverse(add(inverse(X_136),X_133))))))
| inverse(add(inverse(add(X_136,X_135)),inverse(add(add(X_136,inverse(add(inverse(X_136),inverse(add(X_136,X_136))))),inverse(add(inverse(X_136),X_133)))))) = inverse(add(inverse(add(X_136,X_135)),inverse(add(X_136,inverse(add(inverse(X_136),X_133)))))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(add(X_136,X_135)),inverse(add(add(X_136,inverse(add(inverse(X_136),inverse(add(X_136,X_136))))),inverse(add(inverse(X_136),X_133)))))),inverse(add(inverse(add(X_136,X_135)),inverse(add(add(X_136,inverse(add(inverse(X_136),inverse(add(X_136,X_136))))),inverse(add(inverse(X_136),X_133))))))) ),[1,0],$fot(add(inverse(add(X_136,X_135)),inverse(add(X_136,inverse(add(inverse(X_136),X_133))))))]]) ).
cnf(refute_0_407,plain,
( add(inverse(add(X_136,X_135)),inverse(add(add(X_136,inverse(add(inverse(X_136),inverse(add(X_136,X_136))))),inverse(add(inverse(X_136),X_133))))) != add(inverse(add(X_136,X_135)),inverse(add(X_136,inverse(add(inverse(X_136),X_133)))))
| inverse(add(inverse(add(X_136,X_135)),inverse(add(add(X_136,inverse(add(inverse(X_136),inverse(add(X_136,X_136))))),inverse(add(inverse(X_136),X_133)))))) = inverse(add(inverse(add(X_136,X_135)),inverse(add(X_136,inverse(add(inverse(X_136),X_133)))))) ),
inference(resolve,[$cnf( $equal(inverse(add(inverse(add(X_136,X_135)),inverse(add(add(X_136,inverse(add(inverse(X_136),inverse(add(X_136,X_136))))),inverse(add(inverse(X_136),X_133)))))),inverse(add(inverse(add(X_136,X_135)),inverse(add(add(X_136,inverse(add(inverse(X_136),inverse(add(X_136,X_136))))),inverse(add(inverse(X_136),X_133))))))) )],[refute_0_405,refute_0_406]) ).
cnf(refute_0_408,plain,
inverse(add(inverse(add(X_136,X_135)),inverse(add(add(X_136,inverse(add(inverse(X_136),inverse(add(X_136,X_136))))),inverse(add(inverse(X_136),X_133)))))) = inverse(add(inverse(add(X_136,X_135)),inverse(add(X_136,inverse(add(inverse(X_136),X_133)))))),
inference(resolve,[$cnf( $equal(add(inverse(add(X_136,X_135)),inverse(add(add(X_136,inverse(add(inverse(X_136),inverse(add(X_136,X_136))))),inverse(add(inverse(X_136),X_133))))),add(inverse(add(X_136,X_135)),inverse(add(X_136,inverse(add(inverse(X_136),X_133)))))) )],[refute_0_404,refute_0_407]) ).
cnf(refute_0_409,plain,
add(X_136,inverse(add(inverse(add(X_136,X_135)),inverse(add(add(X_136,inverse(add(inverse(X_136),inverse(add(X_136,X_136))))),inverse(add(inverse(X_136),X_133))))))) = add(X_136,inverse(add(inverse(add(X_136,X_135)),inverse(add(add(X_136,inverse(add(inverse(X_136),inverse(add(X_136,X_136))))),inverse(add(inverse(X_136),X_133))))))),
introduced(tautology,[refl,[$fot(add(X_136,inverse(add(inverse(add(X_136,X_135)),inverse(add(add(X_136,inverse(add(inverse(X_136),inverse(add(X_136,X_136))))),inverse(add(inverse(X_136),X_133))))))))]]) ).
cnf(refute_0_410,plain,
( add(X_136,inverse(add(inverse(add(X_136,X_135)),inverse(add(add(X_136,inverse(add(inverse(X_136),inverse(add(X_136,X_136))))),inverse(add(inverse(X_136),X_133))))))) != add(X_136,inverse(add(inverse(add(X_136,X_135)),inverse(add(add(X_136,inverse(add(inverse(X_136),inverse(add(X_136,X_136))))),inverse(add(inverse(X_136),X_133)))))))
| inverse(add(inverse(add(X_136,X_135)),inverse(add(add(X_136,inverse(add(inverse(X_136),inverse(add(X_136,X_136))))),inverse(add(inverse(X_136),X_133)))))) != inverse(add(inverse(add(X_136,X_135)),inverse(add(X_136,inverse(add(inverse(X_136),X_133))))))
| add(X_136,inverse(add(inverse(add(X_136,X_135)),inverse(add(add(X_136,inverse(add(inverse(X_136),inverse(add(X_136,X_136))))),inverse(add(inverse(X_136),X_133))))))) = add(X_136,inverse(add(inverse(add(X_136,X_135)),inverse(add(X_136,inverse(add(inverse(X_136),X_133))))))) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_136,inverse(add(inverse(add(X_136,X_135)),inverse(add(add(X_136,inverse(add(inverse(X_136),inverse(add(X_136,X_136))))),inverse(add(inverse(X_136),X_133))))))),add(X_136,inverse(add(inverse(add(X_136,X_135)),inverse(add(add(X_136,inverse(add(inverse(X_136),inverse(add(X_136,X_136))))),inverse(add(inverse(X_136),X_133)))))))) ),[1,1],$fot(inverse(add(inverse(add(X_136,X_135)),inverse(add(X_136,inverse(add(inverse(X_136),X_133)))))))]]) ).
cnf(refute_0_411,plain,
( inverse(add(inverse(add(X_136,X_135)),inverse(add(add(X_136,inverse(add(inverse(X_136),inverse(add(X_136,X_136))))),inverse(add(inverse(X_136),X_133)))))) != inverse(add(inverse(add(X_136,X_135)),inverse(add(X_136,inverse(add(inverse(X_136),X_133))))))
| add(X_136,inverse(add(inverse(add(X_136,X_135)),inverse(add(add(X_136,inverse(add(inverse(X_136),inverse(add(X_136,X_136))))),inverse(add(inverse(X_136),X_133))))))) = add(X_136,inverse(add(inverse(add(X_136,X_135)),inverse(add(X_136,inverse(add(inverse(X_136),X_133))))))) ),
inference(resolve,[$cnf( $equal(add(X_136,inverse(add(inverse(add(X_136,X_135)),inverse(add(add(X_136,inverse(add(inverse(X_136),inverse(add(X_136,X_136))))),inverse(add(inverse(X_136),X_133))))))),add(X_136,inverse(add(inverse(add(X_136,X_135)),inverse(add(add(X_136,inverse(add(inverse(X_136),inverse(add(X_136,X_136))))),inverse(add(inverse(X_136),X_133)))))))) )],[refute_0_409,refute_0_410]) ).
cnf(refute_0_412,plain,
add(X_136,inverse(add(inverse(add(X_136,X_135)),inverse(add(add(X_136,inverse(add(inverse(X_136),inverse(add(X_136,X_136))))),inverse(add(inverse(X_136),X_133))))))) = add(X_136,inverse(add(inverse(add(X_136,X_135)),inverse(add(X_136,inverse(add(inverse(X_136),X_133))))))),
inference(resolve,[$cnf( $equal(inverse(add(inverse(add(X_136,X_135)),inverse(add(add(X_136,inverse(add(inverse(X_136),inverse(add(X_136,X_136))))),inverse(add(inverse(X_136),X_133)))))),inverse(add(inverse(add(X_136,X_135)),inverse(add(X_136,inverse(add(inverse(X_136),X_133))))))) )],[refute_0_408,refute_0_411]) ).
cnf(refute_0_413,plain,
inverse(add(X_136,inverse(add(inverse(add(X_136,X_135)),inverse(add(add(X_136,inverse(add(inverse(X_136),inverse(add(X_136,X_136))))),inverse(add(inverse(X_136),X_133)))))))) = inverse(add(X_136,inverse(add(inverse(add(X_136,X_135)),inverse(add(add(X_136,inverse(add(inverse(X_136),inverse(add(X_136,X_136))))),inverse(add(inverse(X_136),X_133)))))))),
introduced(tautology,[refl,[$fot(inverse(add(X_136,inverse(add(inverse(add(X_136,X_135)),inverse(add(add(X_136,inverse(add(inverse(X_136),inverse(add(X_136,X_136))))),inverse(add(inverse(X_136),X_133)))))))))]]) ).
cnf(refute_0_414,plain,
( add(X_136,inverse(add(inverse(add(X_136,X_135)),inverse(add(add(X_136,inverse(add(inverse(X_136),inverse(add(X_136,X_136))))),inverse(add(inverse(X_136),X_133))))))) != add(X_136,inverse(add(inverse(add(X_136,X_135)),inverse(add(X_136,inverse(add(inverse(X_136),X_133)))))))
| inverse(add(X_136,inverse(add(inverse(add(X_136,X_135)),inverse(add(add(X_136,inverse(add(inverse(X_136),inverse(add(X_136,X_136))))),inverse(add(inverse(X_136),X_133)))))))) != inverse(add(X_136,inverse(add(inverse(add(X_136,X_135)),inverse(add(add(X_136,inverse(add(inverse(X_136),inverse(add(X_136,X_136))))),inverse(add(inverse(X_136),X_133))))))))
| inverse(add(X_136,inverse(add(inverse(add(X_136,X_135)),inverse(add(add(X_136,inverse(add(inverse(X_136),inverse(add(X_136,X_136))))),inverse(add(inverse(X_136),X_133)))))))) = inverse(add(X_136,inverse(add(inverse(add(X_136,X_135)),inverse(add(X_136,inverse(add(inverse(X_136),X_133)))))))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(add(X_136,inverse(add(inverse(add(X_136,X_135)),inverse(add(add(X_136,inverse(add(inverse(X_136),inverse(add(X_136,X_136))))),inverse(add(inverse(X_136),X_133)))))))),inverse(add(X_136,inverse(add(inverse(add(X_136,X_135)),inverse(add(add(X_136,inverse(add(inverse(X_136),inverse(add(X_136,X_136))))),inverse(add(inverse(X_136),X_133))))))))) ),[1,0],$fot(add(X_136,inverse(add(inverse(add(X_136,X_135)),inverse(add(X_136,inverse(add(inverse(X_136),X_133))))))))]]) ).
cnf(refute_0_415,plain,
( add(X_136,inverse(add(inverse(add(X_136,X_135)),inverse(add(add(X_136,inverse(add(inverse(X_136),inverse(add(X_136,X_136))))),inverse(add(inverse(X_136),X_133))))))) != add(X_136,inverse(add(inverse(add(X_136,X_135)),inverse(add(X_136,inverse(add(inverse(X_136),X_133)))))))
| inverse(add(X_136,inverse(add(inverse(add(X_136,X_135)),inverse(add(add(X_136,inverse(add(inverse(X_136),inverse(add(X_136,X_136))))),inverse(add(inverse(X_136),X_133)))))))) = inverse(add(X_136,inverse(add(inverse(add(X_136,X_135)),inverse(add(X_136,inverse(add(inverse(X_136),X_133)))))))) ),
inference(resolve,[$cnf( $equal(inverse(add(X_136,inverse(add(inverse(add(X_136,X_135)),inverse(add(add(X_136,inverse(add(inverse(X_136),inverse(add(X_136,X_136))))),inverse(add(inverse(X_136),X_133)))))))),inverse(add(X_136,inverse(add(inverse(add(X_136,X_135)),inverse(add(add(X_136,inverse(add(inverse(X_136),inverse(add(X_136,X_136))))),inverse(add(inverse(X_136),X_133))))))))) )],[refute_0_413,refute_0_414]) ).
cnf(refute_0_416,plain,
inverse(add(X_136,inverse(add(inverse(add(X_136,X_135)),inverse(add(add(X_136,inverse(add(inverse(X_136),inverse(add(X_136,X_136))))),inverse(add(inverse(X_136),X_133)))))))) = inverse(add(X_136,inverse(add(inverse(add(X_136,X_135)),inverse(add(X_136,inverse(add(inverse(X_136),X_133)))))))),
inference(resolve,[$cnf( $equal(add(X_136,inverse(add(inverse(add(X_136,X_135)),inverse(add(add(X_136,inverse(add(inverse(X_136),inverse(add(X_136,X_136))))),inverse(add(inverse(X_136),X_133))))))),add(X_136,inverse(add(inverse(add(X_136,X_135)),inverse(add(X_136,inverse(add(inverse(X_136),X_133)))))))) )],[refute_0_412,refute_0_415]) ).
cnf(refute_0_417,plain,
( inverse(add(X_136,inverse(add(inverse(add(X_136,X_135)),inverse(add(add(X_136,inverse(add(inverse(X_136),inverse(add(X_136,X_136))))),inverse(add(inverse(X_136),X_133)))))))) != inverse(add(X_136,inverse(add(inverse(X_136),inverse(add(X_136,X_136))))))
| inverse(add(X_136,inverse(add(inverse(add(X_136,X_135)),inverse(add(add(X_136,inverse(add(inverse(X_136),inverse(add(X_136,X_136))))),inverse(add(inverse(X_136),X_133)))))))) != inverse(add(X_136,inverse(add(inverse(add(X_136,X_135)),inverse(add(X_136,inverse(add(inverse(X_136),X_133))))))))
| inverse(add(X_136,inverse(add(inverse(add(X_136,X_135)),inverse(add(X_136,inverse(add(inverse(X_136),X_133)))))))) = inverse(add(X_136,inverse(add(inverse(X_136),inverse(add(X_136,X_136)))))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(add(X_136,inverse(add(inverse(add(X_136,X_135)),inverse(add(add(X_136,inverse(add(inverse(X_136),inverse(add(X_136,X_136))))),inverse(add(inverse(X_136),X_133)))))))),inverse(add(X_136,inverse(add(inverse(X_136),inverse(add(X_136,X_136))))))) ),[0],$fot(inverse(add(X_136,inverse(add(inverse(add(X_136,X_135)),inverse(add(X_136,inverse(add(inverse(X_136),X_133)))))))))]]) ).
cnf(refute_0_418,plain,
( inverse(add(X_136,inverse(add(inverse(add(X_136,X_135)),inverse(add(add(X_136,inverse(add(inverse(X_136),inverse(add(X_136,X_136))))),inverse(add(inverse(X_136),X_133)))))))) != inverse(add(X_136,inverse(add(inverse(X_136),inverse(add(X_136,X_136))))))
| inverse(add(X_136,inverse(add(inverse(add(X_136,X_135)),inverse(add(X_136,inverse(add(inverse(X_136),X_133)))))))) = inverse(add(X_136,inverse(add(inverse(X_136),inverse(add(X_136,X_136)))))) ),
inference(resolve,[$cnf( $equal(inverse(add(X_136,inverse(add(inverse(add(X_136,X_135)),inverse(add(add(X_136,inverse(add(inverse(X_136),inverse(add(X_136,X_136))))),inverse(add(inverse(X_136),X_133)))))))),inverse(add(X_136,inverse(add(inverse(add(X_136,X_135)),inverse(add(X_136,inverse(add(inverse(X_136),X_133))))))))) )],[refute_0_416,refute_0_417]) ).
cnf(refute_0_419,plain,
inverse(add(inverse(add(inverse(add(X_43,inverse(add(X_43,X_43)))),X_43)),inverse(add(X_43,X_43)))) = X_43,
inference(subst,[],[refute_0_27:[bind(A,$fot(X_43)),bind(B,$fot(inverse(add(X_43,X_43)))),bind(C,$fot(X_43))]]) ).
cnf(refute_0_420,plain,
inverse(add(inverse(add(X_36,inverse(add(X_36,X_36)))),inverse(add(inverse(X_36),inverse(add(X_36,X_36)))))) = inverse(add(X_36,X_36)),
inference(subst,[],[refute_0_77:[bind(X_12,$fot(X_36)),bind(X_8,$fot(inverse(add(X_36,X_36))))]]) ).
cnf(refute_0_421,plain,
inverse(add(inverse(X_36),inverse(add(X_36,X_36)))) = X_36,
inference(subst,[],[refute_0_19:[bind(C,$fot(X_36))]]) ).
cnf(refute_0_422,plain,
( inverse(add(inverse(X_36),inverse(add(X_36,X_36)))) != X_36
| inverse(add(inverse(add(X_36,inverse(add(X_36,X_36)))),inverse(add(inverse(X_36),inverse(add(X_36,X_36)))))) != inverse(add(X_36,X_36))
| inverse(add(inverse(add(X_36,inverse(add(X_36,X_36)))),X_36)) = inverse(add(X_36,X_36)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(add(X_36,inverse(add(X_36,X_36)))),inverse(add(inverse(X_36),inverse(add(X_36,X_36)))))),inverse(add(X_36,X_36))) ),[0,0,1],$fot(X_36)]]) ).
cnf(refute_0_423,plain,
( inverse(add(inverse(add(X_36,inverse(add(X_36,X_36)))),inverse(add(inverse(X_36),inverse(add(X_36,X_36)))))) != inverse(add(X_36,X_36))
| inverse(add(inverse(add(X_36,inverse(add(X_36,X_36)))),X_36)) = inverse(add(X_36,X_36)) ),
inference(resolve,[$cnf( $equal(inverse(add(inverse(X_36),inverse(add(X_36,X_36)))),X_36) )],[refute_0_421,refute_0_422]) ).
cnf(refute_0_424,plain,
inverse(add(inverse(add(X_36,inverse(add(X_36,X_36)))),X_36)) = inverse(add(X_36,X_36)),
inference(resolve,[$cnf( $equal(inverse(add(inverse(add(X_36,inverse(add(X_36,X_36)))),inverse(add(inverse(X_36),inverse(add(X_36,X_36)))))),inverse(add(X_36,X_36))) )],[refute_0_420,refute_0_423]) ).
cnf(refute_0_425,plain,
inverse(add(inverse(add(X_43,inverse(add(X_43,X_43)))),X_43)) = inverse(add(X_43,X_43)),
inference(subst,[],[refute_0_424:[bind(X_36,$fot(X_43))]]) ).
cnf(refute_0_426,plain,
( inverse(add(inverse(add(X_43,inverse(add(X_43,X_43)))),X_43)) != inverse(add(X_43,X_43))
| inverse(add(inverse(add(inverse(add(X_43,inverse(add(X_43,X_43)))),X_43)),inverse(add(X_43,X_43)))) != X_43
| inverse(add(inverse(add(X_43,X_43)),inverse(add(X_43,X_43)))) = X_43 ),
introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(add(inverse(add(X_43,inverse(add(X_43,X_43)))),X_43)),inverse(add(X_43,X_43)))),X_43) ),[0,0,0],$fot(inverse(add(X_43,X_43)))]]) ).
cnf(refute_0_427,plain,
( inverse(add(inverse(add(inverse(add(X_43,inverse(add(X_43,X_43)))),X_43)),inverse(add(X_43,X_43)))) != X_43
| inverse(add(inverse(add(X_43,X_43)),inverse(add(X_43,X_43)))) = X_43 ),
inference(resolve,[$cnf( $equal(inverse(add(inverse(add(X_43,inverse(add(X_43,X_43)))),X_43)),inverse(add(X_43,X_43))) )],[refute_0_425,refute_0_426]) ).
cnf(refute_0_428,plain,
inverse(add(inverse(add(X_43,X_43)),inverse(add(X_43,X_43)))) = X_43,
inference(resolve,[$cnf( $equal(inverse(add(inverse(add(inverse(add(X_43,inverse(add(X_43,X_43)))),X_43)),inverse(add(X_43,X_43)))),X_43) )],[refute_0_419,refute_0_427]) ).
cnf(refute_0_429,plain,
inverse(add(inverse(add(X_43,X_43)),inverse(add(X_43,X_43)))) = add(X_43,X_43),
inference(subst,[],[refute_0_85:[bind(C,$fot(add(X_43,X_43)))]]) ).
cnf(refute_0_430,plain,
( inverse(add(inverse(add(X_43,X_43)),inverse(add(X_43,X_43)))) != X_43
| inverse(add(inverse(add(X_43,X_43)),inverse(add(X_43,X_43)))) != add(X_43,X_43)
| add(X_43,X_43) = X_43 ),
introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(add(X_43,X_43)),inverse(add(X_43,X_43)))),X_43) ),[0],$fot(add(X_43,X_43))]]) ).
cnf(refute_0_431,plain,
( inverse(add(inverse(add(X_43,X_43)),inverse(add(X_43,X_43)))) != X_43
| add(X_43,X_43) = X_43 ),
inference(resolve,[$cnf( $equal(inverse(add(inverse(add(X_43,X_43)),inverse(add(X_43,X_43)))),add(X_43,X_43)) )],[refute_0_429,refute_0_430]) ).
cnf(refute_0_432,plain,
add(X_43,X_43) = X_43,
inference(resolve,[$cnf( $equal(inverse(add(inverse(add(X_43,X_43)),inverse(add(X_43,X_43)))),X_43) )],[refute_0_428,refute_0_431]) ).
cnf(refute_0_433,plain,
add(inverse(X_136),inverse(X_136)) = inverse(X_136),
inference(subst,[],[refute_0_432:[bind(X_43,$fot(inverse(X_136)))]]) ).
cnf(refute_0_434,plain,
add(X_136,X_136) = X_136,
inference(subst,[],[refute_0_432:[bind(X_43,$fot(X_136))]]) ).
cnf(refute_0_435,plain,
inverse(add(X_136,X_136)) = inverse(add(X_136,X_136)),
introduced(tautology,[refl,[$fot(inverse(add(X_136,X_136)))]]) ).
cnf(refute_0_436,plain,
( add(X_136,X_136) != X_136
| inverse(add(X_136,X_136)) != inverse(add(X_136,X_136))
| inverse(add(X_136,X_136)) = inverse(X_136) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(add(X_136,X_136)),inverse(add(X_136,X_136))) ),[1,0],$fot(X_136)]]) ).
cnf(refute_0_437,plain,
( add(X_136,X_136) != X_136
| inverse(add(X_136,X_136)) = inverse(X_136) ),
inference(resolve,[$cnf( $equal(inverse(add(X_136,X_136)),inverse(add(X_136,X_136))) )],[refute_0_435,refute_0_436]) ).
cnf(refute_0_438,plain,
inverse(add(X_136,X_136)) = inverse(X_136),
inference(resolve,[$cnf( $equal(add(X_136,X_136),X_136) )],[refute_0_434,refute_0_437]) ).
cnf(refute_0_439,plain,
add(inverse(X_136),inverse(add(X_136,X_136))) = add(inverse(X_136),inverse(add(X_136,X_136))),
introduced(tautology,[refl,[$fot(add(inverse(X_136),inverse(add(X_136,X_136))))]]) ).
cnf(refute_0_440,plain,
( add(inverse(X_136),inverse(add(X_136,X_136))) != add(inverse(X_136),inverse(add(X_136,X_136)))
| inverse(add(X_136,X_136)) != inverse(X_136)
| add(inverse(X_136),inverse(add(X_136,X_136))) = add(inverse(X_136),inverse(X_136)) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(X_136),inverse(add(X_136,X_136))),add(inverse(X_136),inverse(add(X_136,X_136)))) ),[1,1],$fot(inverse(X_136))]]) ).
cnf(refute_0_441,plain,
( inverse(add(X_136,X_136)) != inverse(X_136)
| add(inverse(X_136),inverse(add(X_136,X_136))) = add(inverse(X_136),inverse(X_136)) ),
inference(resolve,[$cnf( $equal(add(inverse(X_136),inverse(add(X_136,X_136))),add(inverse(X_136),inverse(add(X_136,X_136)))) )],[refute_0_439,refute_0_440]) ).
cnf(refute_0_442,plain,
add(inverse(X_136),inverse(add(X_136,X_136))) = add(inverse(X_136),inverse(X_136)),
inference(resolve,[$cnf( $equal(inverse(add(X_136,X_136)),inverse(X_136)) )],[refute_0_438,refute_0_441]) ).
cnf(refute_0_443,plain,
( add(inverse(X_136),inverse(X_136)) != inverse(X_136)
| add(inverse(X_136),inverse(add(X_136,X_136))) != add(inverse(X_136),inverse(X_136))
| add(inverse(X_136),inverse(add(X_136,X_136))) = inverse(X_136) ),
inference(subst,[],[refute_0_104:[bind(X,$fot(add(inverse(X_136),inverse(add(X_136,X_136))))),bind(Y,$fot(add(inverse(X_136),inverse(X_136)))),bind(Z,$fot(inverse(X_136)))]]) ).
cnf(refute_0_444,plain,
( add(inverse(X_136),inverse(X_136)) != inverse(X_136)
| add(inverse(X_136),inverse(add(X_136,X_136))) = inverse(X_136) ),
inference(resolve,[$cnf( $equal(add(inverse(X_136),inverse(add(X_136,X_136))),add(inverse(X_136),inverse(X_136))) )],[refute_0_442,refute_0_443]) ).
cnf(refute_0_445,plain,
add(inverse(X_136),inverse(add(X_136,X_136))) = inverse(X_136),
inference(resolve,[$cnf( $equal(add(inverse(X_136),inverse(X_136)),inverse(X_136)) )],[refute_0_433,refute_0_444]) ).
cnf(refute_0_446,plain,
inverse(inverse(add(inverse(X_42),inverse(add(X_42,X_9))))) = add(inverse(X_42),inverse(add(X_42,X_9))),
inference(subst,[],[refute_0_130:[bind(C,$fot(add(inverse(X_42),inverse(add(X_42,X_9)))))]]) ).
cnf(refute_0_447,plain,
( inverse(add(X_42,inverse(add(inverse(X_42),inverse(add(X_42,X_9)))))) != inverse(inverse(add(inverse(X_42),inverse(add(X_42,X_9)))))
| inverse(inverse(add(inverse(X_42),inverse(add(X_42,X_9))))) != add(inverse(X_42),inverse(add(X_42,X_9)))
| inverse(add(X_42,inverse(add(inverse(X_42),inverse(add(X_42,X_9)))))) = add(inverse(X_42),inverse(add(X_42,X_9))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(inverse(add(X_42,inverse(add(inverse(X_42),inverse(add(X_42,X_9)))))),add(inverse(X_42),inverse(add(X_42,X_9)))) ),[0],$fot(inverse(inverse(add(inverse(X_42),inverse(add(X_42,X_9))))))]]) ).
cnf(refute_0_448,plain,
( inverse(add(X_42,inverse(add(inverse(X_42),inverse(add(X_42,X_9)))))) != inverse(inverse(add(inverse(X_42),inverse(add(X_42,X_9)))))
| inverse(add(X_42,inverse(add(inverse(X_42),inverse(add(X_42,X_9)))))) = add(inverse(X_42),inverse(add(X_42,X_9))) ),
inference(resolve,[$cnf( $equal(inverse(inverse(add(inverse(X_42),inverse(add(X_42,X_9))))),add(inverse(X_42),inverse(add(X_42,X_9)))) )],[refute_0_446,refute_0_447]) ).
cnf(refute_0_449,plain,
inverse(add(X_42,inverse(add(inverse(X_42),inverse(add(X_42,X_9)))))) = add(inverse(X_42),inverse(add(X_42,X_9))),
inference(resolve,[$cnf( $equal(inverse(add(X_42,inverse(add(inverse(X_42),inverse(add(X_42,X_9)))))),inverse(inverse(add(inverse(X_42),inverse(add(X_42,X_9)))))) )],[refute_0_239,refute_0_448]) ).
cnf(refute_0_450,plain,
inverse(add(X_136,inverse(add(inverse(X_136),inverse(add(X_136,X_136)))))) = add(inverse(X_136),inverse(add(X_136,X_136))),
inference(subst,[],[refute_0_449:[bind(X_42,$fot(X_136)),bind(X_9,$fot(X_136))]]) ).
cnf(refute_0_451,plain,
( add(inverse(X_136),inverse(add(X_136,X_136))) != inverse(X_136)
| inverse(add(X_136,inverse(add(inverse(X_136),inverse(add(X_136,X_136)))))) != add(inverse(X_136),inverse(add(X_136,X_136)))
| inverse(add(X_136,inverse(add(inverse(X_136),inverse(add(X_136,X_136)))))) = inverse(X_136) ),
inference(subst,[],[refute_0_104:[bind(X,$fot(inverse(add(X_136,inverse(add(inverse(X_136),inverse(add(X_136,X_136)))))))),bind(Y,$fot(add(inverse(X_136),inverse(add(X_136,X_136))))),bind(Z,$fot(inverse(X_136)))]]) ).
cnf(refute_0_452,plain,
( add(inverse(X_136),inverse(add(X_136,X_136))) != inverse(X_136)
| inverse(add(X_136,inverse(add(inverse(X_136),inverse(add(X_136,X_136)))))) = inverse(X_136) ),
inference(resolve,[$cnf( $equal(inverse(add(X_136,inverse(add(inverse(X_136),inverse(add(X_136,X_136)))))),add(inverse(X_136),inverse(add(X_136,X_136)))) )],[refute_0_450,refute_0_451]) ).
cnf(refute_0_453,plain,
inverse(add(X_136,inverse(add(inverse(X_136),inverse(add(X_136,X_136)))))) = inverse(X_136),
inference(resolve,[$cnf( $equal(add(inverse(X_136),inverse(add(X_136,X_136))),inverse(X_136)) )],[refute_0_445,refute_0_452]) ).
cnf(refute_0_454,plain,
( inverse(add(X_136,inverse(add(inverse(X_136),inverse(add(X_136,X_136)))))) != inverse(X_136)
| inverse(add(X_136,inverse(add(inverse(add(X_136,X_135)),inverse(add(X_136,inverse(add(inverse(X_136),X_133)))))))) != inverse(add(X_136,inverse(add(inverse(X_136),inverse(add(X_136,X_136))))))
| inverse(add(X_136,inverse(add(inverse(add(X_136,X_135)),inverse(add(X_136,inverse(add(inverse(X_136),X_133)))))))) = inverse(X_136) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(add(X_136,inverse(add(inverse(add(X_136,X_135)),inverse(add(X_136,inverse(add(inverse(X_136),X_133)))))))),inverse(add(X_136,inverse(add(inverse(X_136),inverse(add(X_136,X_136))))))) ),[1],$fot(inverse(X_136))]]) ).
cnf(refute_0_455,plain,
( inverse(add(X_136,inverse(add(inverse(add(X_136,X_135)),inverse(add(X_136,inverse(add(inverse(X_136),X_133)))))))) != inverse(add(X_136,inverse(add(inverse(X_136),inverse(add(X_136,X_136))))))
| inverse(add(X_136,inverse(add(inverse(add(X_136,X_135)),inverse(add(X_136,inverse(add(inverse(X_136),X_133)))))))) = inverse(X_136) ),
inference(resolve,[$cnf( $equal(inverse(add(X_136,inverse(add(inverse(X_136),inverse(add(X_136,X_136)))))),inverse(X_136)) )],[refute_0_453,refute_0_454]) ).
cnf(refute_0_456,plain,
( inverse(add(X_136,inverse(add(inverse(add(X_136,X_135)),inverse(add(add(X_136,inverse(add(inverse(X_136),inverse(add(X_136,X_136))))),inverse(add(inverse(X_136),X_133)))))))) != inverse(add(X_136,inverse(add(inverse(X_136),inverse(add(X_136,X_136))))))
| inverse(add(X_136,inverse(add(inverse(add(X_136,X_135)),inverse(add(X_136,inverse(add(inverse(X_136),X_133)))))))) = inverse(X_136) ),
inference(resolve,[$cnf( $equal(inverse(add(X_136,inverse(add(inverse(add(X_136,X_135)),inverse(add(X_136,inverse(add(inverse(X_136),X_133)))))))),inverse(add(X_136,inverse(add(inverse(X_136),inverse(add(X_136,X_136))))))) )],[refute_0_418,refute_0_455]) ).
cnf(refute_0_457,plain,
inverse(add(X_136,inverse(add(inverse(add(X_136,X_135)),inverse(add(X_136,inverse(add(inverse(X_136),X_133)))))))) = inverse(X_136),
inference(resolve,[$cnf( $equal(inverse(add(X_136,inverse(add(inverse(add(X_136,X_135)),inverse(add(add(X_136,inverse(add(inverse(X_136),inverse(add(X_136,X_136))))),inverse(add(inverse(X_136),X_133)))))))),inverse(add(X_136,inverse(add(inverse(X_136),inverse(add(X_136,X_136))))))) )],[refute_0_392,refute_0_456]) ).
cnf(refute_0_458,plain,
inverse(add(X_136,inverse(add(inverse(add(X_136,X_135)),inverse(add(X_136,inverse(add(inverse(X_136),inverse(add(inverse(add(inverse(X_136),X_138)),inverse(add(inverse(X_136),inverse(add(inverse(inverse(X_136)),X_137)))))))))))))) = inverse(X_136),
inference(subst,[],[refute_0_457:[bind(X_133,$fot(inverse(add(inverse(add(inverse(X_136),X_138)),inverse(add(inverse(X_136),inverse(add(inverse(inverse(X_136)),X_137))))))))]]) ).
cnf(refute_0_459,plain,
inverse(add(inverse(X_136),inverse(add(inverse(add(inverse(X_136),X_138)),inverse(add(inverse(X_136),inverse(add(inverse(inverse(X_136)),X_137)))))))) = inverse(inverse(X_136)),
inference(subst,[],[refute_0_457:[bind(X_133,$fot(X_137)),bind(X_135,$fot(X_138)),bind(X_136,$fot(inverse(X_136)))]]) ).
cnf(refute_0_460,plain,
( inverse(add(X_136,inverse(add(inverse(add(X_136,X_135)),inverse(add(X_136,inverse(add(inverse(X_136),inverse(add(inverse(add(inverse(X_136),X_138)),inverse(add(inverse(X_136),inverse(add(inverse(inverse(X_136)),X_137)))))))))))))) != inverse(X_136)
| inverse(add(inverse(X_136),inverse(add(inverse(add(inverse(X_136),X_138)),inverse(add(inverse(X_136),inverse(add(inverse(inverse(X_136)),X_137)))))))) != inverse(inverse(X_136))
| inverse(add(X_136,inverse(add(inverse(add(X_136,X_135)),inverse(add(X_136,inverse(inverse(X_136)))))))) = inverse(X_136) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(add(X_136,inverse(add(inverse(add(X_136,X_135)),inverse(add(X_136,inverse(add(inverse(X_136),inverse(add(inverse(add(inverse(X_136),X_138)),inverse(add(inverse(X_136),inverse(add(inverse(inverse(X_136)),X_137)))))))))))))),inverse(X_136)) ),[0,0,1,0,1,0,1],$fot(inverse(inverse(X_136)))]]) ).
cnf(refute_0_461,plain,
( inverse(add(X_136,inverse(add(inverse(add(X_136,X_135)),inverse(add(X_136,inverse(add(inverse(X_136),inverse(add(inverse(add(inverse(X_136),X_138)),inverse(add(inverse(X_136),inverse(add(inverse(inverse(X_136)),X_137)))))))))))))) != inverse(X_136)
| inverse(add(X_136,inverse(add(inverse(add(X_136,X_135)),inverse(add(X_136,inverse(inverse(X_136)))))))) = inverse(X_136) ),
inference(resolve,[$cnf( $equal(inverse(add(inverse(X_136),inverse(add(inverse(add(inverse(X_136),X_138)),inverse(add(inverse(X_136),inverse(add(inverse(inverse(X_136)),X_137)))))))),inverse(inverse(X_136))) )],[refute_0_459,refute_0_460]) ).
cnf(refute_0_462,plain,
inverse(add(X_136,inverse(add(inverse(add(X_136,X_135)),inverse(add(X_136,inverse(inverse(X_136)))))))) = inverse(X_136),
inference(resolve,[$cnf( $equal(inverse(add(X_136,inverse(add(inverse(add(X_136,X_135)),inverse(add(X_136,inverse(add(inverse(X_136),inverse(add(inverse(add(inverse(X_136),X_138)),inverse(add(inverse(X_136),inverse(add(inverse(inverse(X_136)),X_137)))))))))))))),inverse(X_136)) )],[refute_0_458,refute_0_461]) ).
cnf(refute_0_463,plain,
inverse(inverse(X_136)) = X_136,
inference(subst,[],[refute_0_130:[bind(C,$fot(X_136))]]) ).
cnf(refute_0_464,plain,
add(X_136,inverse(inverse(X_136))) = add(X_136,inverse(inverse(X_136))),
introduced(tautology,[refl,[$fot(add(X_136,inverse(inverse(X_136))))]]) ).
cnf(refute_0_465,plain,
( add(X_136,inverse(inverse(X_136))) != add(X_136,inverse(inverse(X_136)))
| inverse(inverse(X_136)) != X_136
| add(X_136,inverse(inverse(X_136))) = add(X_136,X_136) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_136,inverse(inverse(X_136))),add(X_136,inverse(inverse(X_136)))) ),[1,1],$fot(X_136)]]) ).
cnf(refute_0_466,plain,
( inverse(inverse(X_136)) != X_136
| add(X_136,inverse(inverse(X_136))) = add(X_136,X_136) ),
inference(resolve,[$cnf( $equal(add(X_136,inverse(inverse(X_136))),add(X_136,inverse(inverse(X_136)))) )],[refute_0_464,refute_0_465]) ).
cnf(refute_0_467,plain,
add(X_136,inverse(inverse(X_136))) = add(X_136,X_136),
inference(resolve,[$cnf( $equal(inverse(inverse(X_136)),X_136) )],[refute_0_463,refute_0_466]) ).
cnf(refute_0_468,plain,
( add(X_136,X_136) != X_136
| add(X_136,inverse(inverse(X_136))) != add(X_136,X_136)
| add(X_136,inverse(inverse(X_136))) = X_136 ),
inference(subst,[],[refute_0_104:[bind(X,$fot(add(X_136,inverse(inverse(X_136))))),bind(Y,$fot(add(X_136,X_136))),bind(Z,$fot(X_136))]]) ).
cnf(refute_0_469,plain,
( add(X_136,X_136) != X_136
| add(X_136,inverse(inverse(X_136))) = X_136 ),
inference(resolve,[$cnf( $equal(add(X_136,inverse(inverse(X_136))),add(X_136,X_136)) )],[refute_0_467,refute_0_468]) ).
cnf(refute_0_470,plain,
add(X_136,inverse(inverse(X_136))) = X_136,
inference(resolve,[$cnf( $equal(add(X_136,X_136),X_136) )],[refute_0_434,refute_0_469]) ).
cnf(refute_0_471,plain,
inverse(add(X_136,inverse(inverse(X_136)))) = inverse(add(X_136,inverse(inverse(X_136)))),
introduced(tautology,[refl,[$fot(inverse(add(X_136,inverse(inverse(X_136)))))]]) ).
cnf(refute_0_472,plain,
( add(X_136,inverse(inverse(X_136))) != X_136
| inverse(add(X_136,inverse(inverse(X_136)))) != inverse(add(X_136,inverse(inverse(X_136))))
| inverse(add(X_136,inverse(inverse(X_136)))) = inverse(X_136) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(add(X_136,inverse(inverse(X_136)))),inverse(add(X_136,inverse(inverse(X_136))))) ),[1,0],$fot(X_136)]]) ).
cnf(refute_0_473,plain,
( add(X_136,inverse(inverse(X_136))) != X_136
| inverse(add(X_136,inverse(inverse(X_136)))) = inverse(X_136) ),
inference(resolve,[$cnf( $equal(inverse(add(X_136,inverse(inverse(X_136)))),inverse(add(X_136,inverse(inverse(X_136))))) )],[refute_0_471,refute_0_472]) ).
cnf(refute_0_474,plain,
inverse(add(X_136,inverse(inverse(X_136)))) = inverse(X_136),
inference(resolve,[$cnf( $equal(add(X_136,inverse(inverse(X_136))),X_136) )],[refute_0_470,refute_0_473]) ).
cnf(refute_0_475,plain,
add(inverse(add(X_136,X_135)),inverse(add(X_136,inverse(inverse(X_136))))) = add(inverse(add(X_136,X_135)),inverse(add(X_136,inverse(inverse(X_136))))),
introduced(tautology,[refl,[$fot(add(inverse(add(X_136,X_135)),inverse(add(X_136,inverse(inverse(X_136))))))]]) ).
cnf(refute_0_476,plain,
( add(inverse(add(X_136,X_135)),inverse(add(X_136,inverse(inverse(X_136))))) != add(inverse(add(X_136,X_135)),inverse(add(X_136,inverse(inverse(X_136)))))
| inverse(add(X_136,inverse(inverse(X_136)))) != inverse(X_136)
| add(inverse(add(X_136,X_135)),inverse(add(X_136,inverse(inverse(X_136))))) = add(inverse(add(X_136,X_135)),inverse(X_136)) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(add(X_136,X_135)),inverse(add(X_136,inverse(inverse(X_136))))),add(inverse(add(X_136,X_135)),inverse(add(X_136,inverse(inverse(X_136)))))) ),[1,1],$fot(inverse(X_136))]]) ).
cnf(refute_0_477,plain,
( inverse(add(X_136,inverse(inverse(X_136)))) != inverse(X_136)
| add(inverse(add(X_136,X_135)),inverse(add(X_136,inverse(inverse(X_136))))) = add(inverse(add(X_136,X_135)),inverse(X_136)) ),
inference(resolve,[$cnf( $equal(add(inverse(add(X_136,X_135)),inverse(add(X_136,inverse(inverse(X_136))))),add(inverse(add(X_136,X_135)),inverse(add(X_136,inverse(inverse(X_136)))))) )],[refute_0_475,refute_0_476]) ).
cnf(refute_0_478,plain,
add(inverse(add(X_136,X_135)),inverse(add(X_136,inverse(inverse(X_136))))) = add(inverse(add(X_136,X_135)),inverse(X_136)),
inference(resolve,[$cnf( $equal(inverse(add(X_136,inverse(inverse(X_136)))),inverse(X_136)) )],[refute_0_474,refute_0_477]) ).
cnf(refute_0_479,plain,
inverse(add(inverse(add(X_136,X_135)),inverse(add(X_136,inverse(inverse(X_136)))))) = inverse(add(inverse(add(X_136,X_135)),inverse(add(X_136,inverse(inverse(X_136)))))),
introduced(tautology,[refl,[$fot(inverse(add(inverse(add(X_136,X_135)),inverse(add(X_136,inverse(inverse(X_136)))))))]]) ).
cnf(refute_0_480,plain,
( add(inverse(add(X_136,X_135)),inverse(add(X_136,inverse(inverse(X_136))))) != add(inverse(add(X_136,X_135)),inverse(X_136))
| inverse(add(inverse(add(X_136,X_135)),inverse(add(X_136,inverse(inverse(X_136)))))) != inverse(add(inverse(add(X_136,X_135)),inverse(add(X_136,inverse(inverse(X_136))))))
| inverse(add(inverse(add(X_136,X_135)),inverse(add(X_136,inverse(inverse(X_136)))))) = inverse(add(inverse(add(X_136,X_135)),inverse(X_136))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(add(X_136,X_135)),inverse(add(X_136,inverse(inverse(X_136)))))),inverse(add(inverse(add(X_136,X_135)),inverse(add(X_136,inverse(inverse(X_136))))))) ),[1,0],$fot(add(inverse(add(X_136,X_135)),inverse(X_136)))]]) ).
cnf(refute_0_481,plain,
( add(inverse(add(X_136,X_135)),inverse(add(X_136,inverse(inverse(X_136))))) != add(inverse(add(X_136,X_135)),inverse(X_136))
| inverse(add(inverse(add(X_136,X_135)),inverse(add(X_136,inverse(inverse(X_136)))))) = inverse(add(inverse(add(X_136,X_135)),inverse(X_136))) ),
inference(resolve,[$cnf( $equal(inverse(add(inverse(add(X_136,X_135)),inverse(add(X_136,inverse(inverse(X_136)))))),inverse(add(inverse(add(X_136,X_135)),inverse(add(X_136,inverse(inverse(X_136))))))) )],[refute_0_479,refute_0_480]) ).
cnf(refute_0_482,plain,
inverse(add(inverse(add(X_136,X_135)),inverse(add(X_136,inverse(inverse(X_136)))))) = inverse(add(inverse(add(X_136,X_135)),inverse(X_136))),
inference(resolve,[$cnf( $equal(add(inverse(add(X_136,X_135)),inverse(add(X_136,inverse(inverse(X_136))))),add(inverse(add(X_136,X_135)),inverse(X_136))) )],[refute_0_478,refute_0_481]) ).
cnf(refute_0_483,plain,
add(X_136,inverse(add(inverse(add(X_136,X_135)),inverse(add(X_136,inverse(inverse(X_136))))))) = add(X_136,inverse(add(inverse(add(X_136,X_135)),inverse(add(X_136,inverse(inverse(X_136))))))),
introduced(tautology,[refl,[$fot(add(X_136,inverse(add(inverse(add(X_136,X_135)),inverse(add(X_136,inverse(inverse(X_136))))))))]]) ).
cnf(refute_0_484,plain,
( add(X_136,inverse(add(inverse(add(X_136,X_135)),inverse(add(X_136,inverse(inverse(X_136))))))) != add(X_136,inverse(add(inverse(add(X_136,X_135)),inverse(add(X_136,inverse(inverse(X_136)))))))
| inverse(add(inverse(add(X_136,X_135)),inverse(add(X_136,inverse(inverse(X_136)))))) != inverse(add(inverse(add(X_136,X_135)),inverse(X_136)))
| add(X_136,inverse(add(inverse(add(X_136,X_135)),inverse(add(X_136,inverse(inverse(X_136))))))) = add(X_136,inverse(add(inverse(add(X_136,X_135)),inverse(X_136)))) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_136,inverse(add(inverse(add(X_136,X_135)),inverse(add(X_136,inverse(inverse(X_136))))))),add(X_136,inverse(add(inverse(add(X_136,X_135)),inverse(add(X_136,inverse(inverse(X_136)))))))) ),[1,1],$fot(inverse(add(inverse(add(X_136,X_135)),inverse(X_136))))]]) ).
cnf(refute_0_485,plain,
( inverse(add(inverse(add(X_136,X_135)),inverse(add(X_136,inverse(inverse(X_136)))))) != inverse(add(inverse(add(X_136,X_135)),inverse(X_136)))
| add(X_136,inverse(add(inverse(add(X_136,X_135)),inverse(add(X_136,inverse(inverse(X_136))))))) = add(X_136,inverse(add(inverse(add(X_136,X_135)),inverse(X_136)))) ),
inference(resolve,[$cnf( $equal(add(X_136,inverse(add(inverse(add(X_136,X_135)),inverse(add(X_136,inverse(inverse(X_136))))))),add(X_136,inverse(add(inverse(add(X_136,X_135)),inverse(add(X_136,inverse(inverse(X_136)))))))) )],[refute_0_483,refute_0_484]) ).
cnf(refute_0_486,plain,
add(X_136,inverse(add(inverse(add(X_136,X_135)),inverse(add(X_136,inverse(inverse(X_136))))))) = add(X_136,inverse(add(inverse(add(X_136,X_135)),inverse(X_136)))),
inference(resolve,[$cnf( $equal(inverse(add(inverse(add(X_136,X_135)),inverse(add(X_136,inverse(inverse(X_136)))))),inverse(add(inverse(add(X_136,X_135)),inverse(X_136)))) )],[refute_0_482,refute_0_485]) ).
cnf(refute_0_487,plain,
inverse(add(X_136,inverse(add(inverse(add(X_136,X_135)),inverse(add(X_136,inverse(inverse(X_136)))))))) = inverse(add(X_136,inverse(add(inverse(add(X_136,X_135)),inverse(add(X_136,inverse(inverse(X_136)))))))),
introduced(tautology,[refl,[$fot(inverse(add(X_136,inverse(add(inverse(add(X_136,X_135)),inverse(add(X_136,inverse(inverse(X_136)))))))))]]) ).
cnf(refute_0_488,plain,
( add(X_136,inverse(add(inverse(add(X_136,X_135)),inverse(add(X_136,inverse(inverse(X_136))))))) != add(X_136,inverse(add(inverse(add(X_136,X_135)),inverse(X_136))))
| inverse(add(X_136,inverse(add(inverse(add(X_136,X_135)),inverse(add(X_136,inverse(inverse(X_136)))))))) != inverse(add(X_136,inverse(add(inverse(add(X_136,X_135)),inverse(add(X_136,inverse(inverse(X_136))))))))
| inverse(add(X_136,inverse(add(inverse(add(X_136,X_135)),inverse(add(X_136,inverse(inverse(X_136)))))))) = inverse(add(X_136,inverse(add(inverse(add(X_136,X_135)),inverse(X_136))))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(add(X_136,inverse(add(inverse(add(X_136,X_135)),inverse(add(X_136,inverse(inverse(X_136)))))))),inverse(add(X_136,inverse(add(inverse(add(X_136,X_135)),inverse(add(X_136,inverse(inverse(X_136))))))))) ),[1,0],$fot(add(X_136,inverse(add(inverse(add(X_136,X_135)),inverse(X_136)))))]]) ).
cnf(refute_0_489,plain,
( add(X_136,inverse(add(inverse(add(X_136,X_135)),inverse(add(X_136,inverse(inverse(X_136))))))) != add(X_136,inverse(add(inverse(add(X_136,X_135)),inverse(X_136))))
| inverse(add(X_136,inverse(add(inverse(add(X_136,X_135)),inverse(add(X_136,inverse(inverse(X_136)))))))) = inverse(add(X_136,inverse(add(inverse(add(X_136,X_135)),inverse(X_136))))) ),
inference(resolve,[$cnf( $equal(inverse(add(X_136,inverse(add(inverse(add(X_136,X_135)),inverse(add(X_136,inverse(inverse(X_136)))))))),inverse(add(X_136,inverse(add(inverse(add(X_136,X_135)),inverse(add(X_136,inverse(inverse(X_136))))))))) )],[refute_0_487,refute_0_488]) ).
cnf(refute_0_490,plain,
inverse(add(X_136,inverse(add(inverse(add(X_136,X_135)),inverse(add(X_136,inverse(inverse(X_136)))))))) = inverse(add(X_136,inverse(add(inverse(add(X_136,X_135)),inverse(X_136))))),
inference(resolve,[$cnf( $equal(add(X_136,inverse(add(inverse(add(X_136,X_135)),inverse(add(X_136,inverse(inverse(X_136))))))),add(X_136,inverse(add(inverse(add(X_136,X_135)),inverse(X_136))))) )],[refute_0_486,refute_0_489]) ).
cnf(refute_0_491,plain,
( inverse(add(X_136,inverse(add(inverse(add(X_136,X_135)),inverse(add(X_136,inverse(inverse(X_136)))))))) != inverse(X_136)
| inverse(add(X_136,inverse(add(inverse(add(X_136,X_135)),inverse(add(X_136,inverse(inverse(X_136)))))))) != inverse(add(X_136,inverse(add(inverse(add(X_136,X_135)),inverse(X_136)))))
| inverse(add(X_136,inverse(add(inverse(add(X_136,X_135)),inverse(X_136))))) = inverse(X_136) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(add(X_136,inverse(add(inverse(add(X_136,X_135)),inverse(add(X_136,inverse(inverse(X_136)))))))),inverse(X_136)) ),[0],$fot(inverse(add(X_136,inverse(add(inverse(add(X_136,X_135)),inverse(X_136))))))]]) ).
cnf(refute_0_492,plain,
( inverse(add(X_136,inverse(add(inverse(add(X_136,X_135)),inverse(add(X_136,inverse(inverse(X_136)))))))) != inverse(X_136)
| inverse(add(X_136,inverse(add(inverse(add(X_136,X_135)),inverse(X_136))))) = inverse(X_136) ),
inference(resolve,[$cnf( $equal(inverse(add(X_136,inverse(add(inverse(add(X_136,X_135)),inverse(add(X_136,inverse(inverse(X_136)))))))),inverse(add(X_136,inverse(add(inverse(add(X_136,X_135)),inverse(X_136)))))) )],[refute_0_490,refute_0_491]) ).
cnf(refute_0_493,plain,
inverse(add(X_136,inverse(add(inverse(add(X_136,X_135)),inverse(X_136))))) = inverse(X_136),
inference(resolve,[$cnf( $equal(inverse(add(X_136,inverse(add(inverse(add(X_136,X_135)),inverse(add(X_136,inverse(inverse(X_136)))))))),inverse(X_136)) )],[refute_0_462,refute_0_492]) ).
cnf(refute_0_494,plain,
inverse(add(inverse(add(X_79,X_78)),inverse(add(inverse(add(inverse(add(X_79,X_78)),inverse(add(inverse(add(X_80,X_79)),X_78)))),inverse(inverse(add(X_79,X_78))))))) = inverse(inverse(add(X_79,X_78))),
inference(subst,[],[refute_0_493:[bind(X_135,$fot(inverse(add(inverse(add(X_80,X_79)),X_78)))),bind(X_136,$fot(inverse(add(X_79,X_78))))]]) ).
cnf(refute_0_495,plain,
( inverse(X_78) != add(inverse(add(X_79,X_78)),inverse(add(inverse(add(X_80,X_79)),X_78)))
| add(inverse(add(X_79,X_78)),inverse(add(inverse(add(X_80,X_79)),X_78))) = inverse(X_78) ),
inference(subst,[],[refute_0_102:[bind(X,$fot(inverse(X_78))),bind(Y,$fot(add(inverse(add(X_79,X_78)),inverse(add(inverse(add(X_80,X_79)),X_78)))))]]) ).
cnf(refute_0_496,plain,
add(inverse(add(X_79,X_78)),inverse(add(inverse(add(X_80,X_79)),X_78))) = inverse(X_78),
inference(resolve,[$cnf( $equal(inverse(X_78),add(inverse(add(X_79,X_78)),inverse(add(inverse(add(X_80,X_79)),X_78)))) )],[refute_0_182,refute_0_495]) ).
cnf(refute_0_497,plain,
( add(inverse(add(X_79,X_78)),inverse(add(inverse(add(X_80,X_79)),X_78))) != inverse(X_78)
| inverse(add(inverse(add(X_79,X_78)),inverse(add(inverse(add(inverse(add(X_79,X_78)),inverse(add(inverse(add(X_80,X_79)),X_78)))),inverse(inverse(add(X_79,X_78))))))) != inverse(inverse(add(X_79,X_78)))
| inverse(add(inverse(add(X_79,X_78)),inverse(add(inverse(inverse(X_78)),inverse(inverse(add(X_79,X_78))))))) = inverse(inverse(add(X_79,X_78))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(add(X_79,X_78)),inverse(add(inverse(add(inverse(add(X_79,X_78)),inverse(add(inverse(add(X_80,X_79)),X_78)))),inverse(inverse(add(X_79,X_78))))))),inverse(inverse(add(X_79,X_78)))) ),[0,0,1,0,0,0],$fot(inverse(X_78))]]) ).
cnf(refute_0_498,plain,
( inverse(add(inverse(add(X_79,X_78)),inverse(add(inverse(add(inverse(add(X_79,X_78)),inverse(add(inverse(add(X_80,X_79)),X_78)))),inverse(inverse(add(X_79,X_78))))))) != inverse(inverse(add(X_79,X_78)))
| inverse(add(inverse(add(X_79,X_78)),inverse(add(inverse(inverse(X_78)),inverse(inverse(add(X_79,X_78))))))) = inverse(inverse(add(X_79,X_78))) ),
inference(resolve,[$cnf( $equal(add(inverse(add(X_79,X_78)),inverse(add(inverse(add(X_80,X_79)),X_78))),inverse(X_78)) )],[refute_0_496,refute_0_497]) ).
cnf(refute_0_499,plain,
inverse(add(inverse(add(X_79,X_78)),inverse(add(inverse(inverse(X_78)),inverse(inverse(add(X_79,X_78))))))) = inverse(inverse(add(X_79,X_78))),
inference(resolve,[$cnf( $equal(inverse(add(inverse(add(X_79,X_78)),inverse(add(inverse(add(inverse(add(X_79,X_78)),inverse(add(inverse(add(X_80,X_79)),X_78)))),inverse(inverse(add(X_79,X_78))))))),inverse(inverse(add(X_79,X_78)))) )],[refute_0_494,refute_0_498]) ).
cnf(refute_0_500,plain,
inverse(inverse(add(X_79,X_78))) = add(X_79,X_78),
inference(subst,[],[refute_0_130:[bind(C,$fot(add(X_79,X_78)))]]) ).
cnf(refute_0_501,plain,
add(X_78,inverse(inverse(add(X_79,X_78)))) = add(X_78,inverse(inverse(add(X_79,X_78)))),
introduced(tautology,[refl,[$fot(add(X_78,inverse(inverse(add(X_79,X_78)))))]]) ).
cnf(refute_0_502,plain,
( add(X_78,inverse(inverse(add(X_79,X_78)))) != add(X_78,inverse(inverse(add(X_79,X_78))))
| inverse(inverse(add(X_79,X_78))) != add(X_79,X_78)
| add(X_78,inverse(inverse(add(X_79,X_78)))) = add(X_78,add(X_79,X_78)) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_78,inverse(inverse(add(X_79,X_78)))),add(X_78,inverse(inverse(add(X_79,X_78))))) ),[1,1],$fot(add(X_79,X_78))]]) ).
cnf(refute_0_503,plain,
( inverse(inverse(add(X_79,X_78))) != add(X_79,X_78)
| add(X_78,inverse(inverse(add(X_79,X_78)))) = add(X_78,add(X_79,X_78)) ),
inference(resolve,[$cnf( $equal(add(X_78,inverse(inverse(add(X_79,X_78)))),add(X_78,inverse(inverse(add(X_79,X_78))))) )],[refute_0_501,refute_0_502]) ).
cnf(refute_0_504,plain,
add(X_78,inverse(inverse(add(X_79,X_78)))) = add(X_78,add(X_79,X_78)),
inference(resolve,[$cnf( $equal(inverse(inverse(add(X_79,X_78))),add(X_79,X_78)) )],[refute_0_500,refute_0_503]) ).
cnf(refute_0_505,plain,
inverse(inverse(X_78)) = X_78,
inference(subst,[],[refute_0_130:[bind(C,$fot(X_78))]]) ).
cnf(refute_0_506,plain,
add(inverse(inverse(X_78)),inverse(inverse(add(X_79,X_78)))) = add(inverse(inverse(X_78)),inverse(inverse(add(X_79,X_78)))),
introduced(tautology,[refl,[$fot(add(inverse(inverse(X_78)),inverse(inverse(add(X_79,X_78)))))]]) ).
cnf(refute_0_507,plain,
( add(inverse(inverse(X_78)),inverse(inverse(add(X_79,X_78)))) != add(inverse(inverse(X_78)),inverse(inverse(add(X_79,X_78))))
| inverse(inverse(X_78)) != X_78
| add(inverse(inverse(X_78)),inverse(inverse(add(X_79,X_78)))) = add(X_78,inverse(inverse(add(X_79,X_78)))) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(inverse(X_78)),inverse(inverse(add(X_79,X_78)))),add(inverse(inverse(X_78)),inverse(inverse(add(X_79,X_78))))) ),[1,0],$fot(X_78)]]) ).
cnf(refute_0_508,plain,
( inverse(inverse(X_78)) != X_78
| add(inverse(inverse(X_78)),inverse(inverse(add(X_79,X_78)))) = add(X_78,inverse(inverse(add(X_79,X_78)))) ),
inference(resolve,[$cnf( $equal(add(inverse(inverse(X_78)),inverse(inverse(add(X_79,X_78)))),add(inverse(inverse(X_78)),inverse(inverse(add(X_79,X_78))))) )],[refute_0_506,refute_0_507]) ).
cnf(refute_0_509,plain,
add(inverse(inverse(X_78)),inverse(inverse(add(X_79,X_78)))) = add(X_78,inverse(inverse(add(X_79,X_78)))),
inference(resolve,[$cnf( $equal(inverse(inverse(X_78)),X_78) )],[refute_0_505,refute_0_508]) ).
cnf(refute_0_510,plain,
( add(X_78,inverse(inverse(add(X_79,X_78)))) != add(X_78,add(X_79,X_78))
| add(inverse(inverse(X_78)),inverse(inverse(add(X_79,X_78)))) != add(X_78,inverse(inverse(add(X_79,X_78))))
| add(inverse(inverse(X_78)),inverse(inverse(add(X_79,X_78)))) = add(X_78,add(X_79,X_78)) ),
inference(subst,[],[refute_0_104:[bind(X,$fot(add(inverse(inverse(X_78)),inverse(inverse(add(X_79,X_78)))))),bind(Y,$fot(add(X_78,inverse(inverse(add(X_79,X_78)))))),bind(Z,$fot(add(X_78,add(X_79,X_78))))]]) ).
cnf(refute_0_511,plain,
( add(X_78,inverse(inverse(add(X_79,X_78)))) != add(X_78,add(X_79,X_78))
| add(inverse(inverse(X_78)),inverse(inverse(add(X_79,X_78)))) = add(X_78,add(X_79,X_78)) ),
inference(resolve,[$cnf( $equal(add(inverse(inverse(X_78)),inverse(inverse(add(X_79,X_78)))),add(X_78,inverse(inverse(add(X_79,X_78))))) )],[refute_0_509,refute_0_510]) ).
cnf(refute_0_512,plain,
add(inverse(inverse(X_78)),inverse(inverse(add(X_79,X_78)))) = add(X_78,add(X_79,X_78)),
inference(resolve,[$cnf( $equal(add(X_78,inverse(inverse(add(X_79,X_78)))),add(X_78,add(X_79,X_78))) )],[refute_0_504,refute_0_511]) ).
cnf(refute_0_513,plain,
inverse(add(inverse(inverse(X_78)),inverse(inverse(add(X_79,X_78))))) = inverse(add(inverse(inverse(X_78)),inverse(inverse(add(X_79,X_78))))),
introduced(tautology,[refl,[$fot(inverse(add(inverse(inverse(X_78)),inverse(inverse(add(X_79,X_78))))))]]) ).
cnf(refute_0_514,plain,
( add(inverse(inverse(X_78)),inverse(inverse(add(X_79,X_78)))) != add(X_78,add(X_79,X_78))
| inverse(add(inverse(inverse(X_78)),inverse(inverse(add(X_79,X_78))))) != inverse(add(inverse(inverse(X_78)),inverse(inverse(add(X_79,X_78)))))
| inverse(add(inverse(inverse(X_78)),inverse(inverse(add(X_79,X_78))))) = inverse(add(X_78,add(X_79,X_78))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(inverse(X_78)),inverse(inverse(add(X_79,X_78))))),inverse(add(inverse(inverse(X_78)),inverse(inverse(add(X_79,X_78)))))) ),[1,0],$fot(add(X_78,add(X_79,X_78)))]]) ).
cnf(refute_0_515,plain,
( add(inverse(inverse(X_78)),inverse(inverse(add(X_79,X_78)))) != add(X_78,add(X_79,X_78))
| inverse(add(inverse(inverse(X_78)),inverse(inverse(add(X_79,X_78))))) = inverse(add(X_78,add(X_79,X_78))) ),
inference(resolve,[$cnf( $equal(inverse(add(inverse(inverse(X_78)),inverse(inverse(add(X_79,X_78))))),inverse(add(inverse(inverse(X_78)),inverse(inverse(add(X_79,X_78)))))) )],[refute_0_513,refute_0_514]) ).
cnf(refute_0_516,plain,
inverse(add(inverse(inverse(X_78)),inverse(inverse(add(X_79,X_78))))) = inverse(add(X_78,add(X_79,X_78))),
inference(resolve,[$cnf( $equal(add(inverse(inverse(X_78)),inverse(inverse(add(X_79,X_78)))),add(X_78,add(X_79,X_78))) )],[refute_0_512,refute_0_515]) ).
cnf(refute_0_517,plain,
add(inverse(add(X_79,X_78)),inverse(add(inverse(inverse(X_78)),inverse(inverse(add(X_79,X_78)))))) = add(inverse(add(X_79,X_78)),inverse(add(inverse(inverse(X_78)),inverse(inverse(add(X_79,X_78)))))),
introduced(tautology,[refl,[$fot(add(inverse(add(X_79,X_78)),inverse(add(inverse(inverse(X_78)),inverse(inverse(add(X_79,X_78)))))))]]) ).
cnf(refute_0_518,plain,
( add(inverse(add(X_79,X_78)),inverse(add(inverse(inverse(X_78)),inverse(inverse(add(X_79,X_78)))))) != add(inverse(add(X_79,X_78)),inverse(add(inverse(inverse(X_78)),inverse(inverse(add(X_79,X_78))))))
| inverse(add(inverse(inverse(X_78)),inverse(inverse(add(X_79,X_78))))) != inverse(add(X_78,add(X_79,X_78)))
| add(inverse(add(X_79,X_78)),inverse(add(inverse(inverse(X_78)),inverse(inverse(add(X_79,X_78)))))) = add(inverse(add(X_79,X_78)),inverse(add(X_78,add(X_79,X_78)))) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(add(X_79,X_78)),inverse(add(inverse(inverse(X_78)),inverse(inverse(add(X_79,X_78)))))),add(inverse(add(X_79,X_78)),inverse(add(inverse(inverse(X_78)),inverse(inverse(add(X_79,X_78))))))) ),[1,1],$fot(inverse(add(X_78,add(X_79,X_78))))]]) ).
cnf(refute_0_519,plain,
( inverse(add(inverse(inverse(X_78)),inverse(inverse(add(X_79,X_78))))) != inverse(add(X_78,add(X_79,X_78)))
| add(inverse(add(X_79,X_78)),inverse(add(inverse(inverse(X_78)),inverse(inverse(add(X_79,X_78)))))) = add(inverse(add(X_79,X_78)),inverse(add(X_78,add(X_79,X_78)))) ),
inference(resolve,[$cnf( $equal(add(inverse(add(X_79,X_78)),inverse(add(inverse(inverse(X_78)),inverse(inverse(add(X_79,X_78)))))),add(inverse(add(X_79,X_78)),inverse(add(inverse(inverse(X_78)),inverse(inverse(add(X_79,X_78))))))) )],[refute_0_517,refute_0_518]) ).
cnf(refute_0_520,plain,
add(inverse(add(X_79,X_78)),inverse(add(inverse(inverse(X_78)),inverse(inverse(add(X_79,X_78)))))) = add(inverse(add(X_79,X_78)),inverse(add(X_78,add(X_79,X_78)))),
inference(resolve,[$cnf( $equal(inverse(add(inverse(inverse(X_78)),inverse(inverse(add(X_79,X_78))))),inverse(add(X_78,add(X_79,X_78)))) )],[refute_0_516,refute_0_519]) ).
cnf(refute_0_521,plain,
inverse(add(inverse(add(X_79,X_78)),inverse(add(inverse(inverse(X_78)),inverse(inverse(add(X_79,X_78))))))) = inverse(add(inverse(add(X_79,X_78)),inverse(add(inverse(inverse(X_78)),inverse(inverse(add(X_79,X_78))))))),
introduced(tautology,[refl,[$fot(inverse(add(inverse(add(X_79,X_78)),inverse(add(inverse(inverse(X_78)),inverse(inverse(add(X_79,X_78))))))))]]) ).
cnf(refute_0_522,plain,
( add(inverse(add(X_79,X_78)),inverse(add(inverse(inverse(X_78)),inverse(inverse(add(X_79,X_78)))))) != add(inverse(add(X_79,X_78)),inverse(add(X_78,add(X_79,X_78))))
| inverse(add(inverse(add(X_79,X_78)),inverse(add(inverse(inverse(X_78)),inverse(inverse(add(X_79,X_78))))))) != inverse(add(inverse(add(X_79,X_78)),inverse(add(inverse(inverse(X_78)),inverse(inverse(add(X_79,X_78)))))))
| inverse(add(inverse(add(X_79,X_78)),inverse(add(inverse(inverse(X_78)),inverse(inverse(add(X_79,X_78))))))) = inverse(add(inverse(add(X_79,X_78)),inverse(add(X_78,add(X_79,X_78))))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(add(X_79,X_78)),inverse(add(inverse(inverse(X_78)),inverse(inverse(add(X_79,X_78))))))),inverse(add(inverse(add(X_79,X_78)),inverse(add(inverse(inverse(X_78)),inverse(inverse(add(X_79,X_78)))))))) ),[1,0],$fot(add(inverse(add(X_79,X_78)),inverse(add(X_78,add(X_79,X_78)))))]]) ).
cnf(refute_0_523,plain,
( add(inverse(add(X_79,X_78)),inverse(add(inverse(inverse(X_78)),inverse(inverse(add(X_79,X_78)))))) != add(inverse(add(X_79,X_78)),inverse(add(X_78,add(X_79,X_78))))
| inverse(add(inverse(add(X_79,X_78)),inverse(add(inverse(inverse(X_78)),inverse(inverse(add(X_79,X_78))))))) = inverse(add(inverse(add(X_79,X_78)),inverse(add(X_78,add(X_79,X_78))))) ),
inference(resolve,[$cnf( $equal(inverse(add(inverse(add(X_79,X_78)),inverse(add(inverse(inverse(X_78)),inverse(inverse(add(X_79,X_78))))))),inverse(add(inverse(add(X_79,X_78)),inverse(add(inverse(inverse(X_78)),inverse(inverse(add(X_79,X_78)))))))) )],[refute_0_521,refute_0_522]) ).
cnf(refute_0_524,plain,
inverse(add(inverse(add(X_79,X_78)),inverse(add(inverse(inverse(X_78)),inverse(inverse(add(X_79,X_78))))))) = inverse(add(inverse(add(X_79,X_78)),inverse(add(X_78,add(X_79,X_78))))),
inference(resolve,[$cnf( $equal(add(inverse(add(X_79,X_78)),inverse(add(inverse(inverse(X_78)),inverse(inverse(add(X_79,X_78)))))),add(inverse(add(X_79,X_78)),inverse(add(X_78,add(X_79,X_78))))) )],[refute_0_520,refute_0_523]) ).
cnf(refute_0_525,plain,
( inverse(add(inverse(add(X_79,X_78)),inverse(add(inverse(inverse(X_78)),inverse(inverse(add(X_79,X_78))))))) != inverse(add(inverse(add(X_79,X_78)),inverse(add(X_78,add(X_79,X_78)))))
| inverse(add(inverse(add(X_79,X_78)),inverse(add(inverse(inverse(X_78)),inverse(inverse(add(X_79,X_78))))))) != inverse(inverse(add(X_79,X_78)))
| inverse(add(inverse(add(X_79,X_78)),inverse(add(X_78,add(X_79,X_78))))) = inverse(inverse(add(X_79,X_78))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(add(X_79,X_78)),inverse(add(inverse(inverse(X_78)),inverse(inverse(add(X_79,X_78))))))),inverse(inverse(add(X_79,X_78)))) ),[0],$fot(inverse(add(inverse(add(X_79,X_78)),inverse(add(X_78,add(X_79,X_78))))))]]) ).
cnf(refute_0_526,plain,
( inverse(add(inverse(add(X_79,X_78)),inverse(add(inverse(inverse(X_78)),inverse(inverse(add(X_79,X_78))))))) != inverse(inverse(add(X_79,X_78)))
| inverse(add(inverse(add(X_79,X_78)),inverse(add(X_78,add(X_79,X_78))))) = inverse(inverse(add(X_79,X_78))) ),
inference(resolve,[$cnf( $equal(inverse(add(inverse(add(X_79,X_78)),inverse(add(inverse(inverse(X_78)),inverse(inverse(add(X_79,X_78))))))),inverse(add(inverse(add(X_79,X_78)),inverse(add(X_78,add(X_79,X_78)))))) )],[refute_0_524,refute_0_525]) ).
cnf(refute_0_527,plain,
( inverse(add(inverse(add(X_79,X_78)),inverse(add(X_78,add(X_79,X_78))))) != inverse(inverse(add(X_79,X_78)))
| inverse(inverse(add(X_79,X_78))) != add(X_79,X_78)
| inverse(add(inverse(add(X_79,X_78)),inverse(add(X_78,add(X_79,X_78))))) = add(X_79,X_78) ),
introduced(tautology,[equality,[$cnf( ~ $equal(inverse(add(inverse(add(X_79,X_78)),inverse(add(X_78,add(X_79,X_78))))),add(X_79,X_78)) ),[0],$fot(inverse(inverse(add(X_79,X_78))))]]) ).
cnf(refute_0_528,plain,
( inverse(add(inverse(add(X_79,X_78)),inverse(add(X_78,add(X_79,X_78))))) != inverse(inverse(add(X_79,X_78)))
| inverse(add(inverse(add(X_79,X_78)),inverse(add(X_78,add(X_79,X_78))))) = add(X_79,X_78) ),
inference(resolve,[$cnf( $equal(inverse(inverse(add(X_79,X_78))),add(X_79,X_78)) )],[refute_0_500,refute_0_527]) ).
cnf(refute_0_529,plain,
( inverse(add(inverse(add(X_79,X_78)),inverse(add(inverse(inverse(X_78)),inverse(inverse(add(X_79,X_78))))))) != inverse(inverse(add(X_79,X_78)))
| inverse(add(inverse(add(X_79,X_78)),inverse(add(X_78,add(X_79,X_78))))) = add(X_79,X_78) ),
inference(resolve,[$cnf( $equal(inverse(add(inverse(add(X_79,X_78)),inverse(add(X_78,add(X_79,X_78))))),inverse(inverse(add(X_79,X_78)))) )],[refute_0_526,refute_0_528]) ).
cnf(refute_0_530,plain,
inverse(add(inverse(add(X_79,X_78)),inverse(add(X_78,add(X_79,X_78))))) = add(X_79,X_78),
inference(resolve,[$cnf( $equal(inverse(add(inverse(add(X_79,X_78)),inverse(add(inverse(inverse(X_78)),inverse(inverse(add(X_79,X_78))))))),inverse(inverse(add(X_79,X_78)))) )],[refute_0_499,refute_0_529]) ).
cnf(refute_0_531,plain,
inverse(add(inverse(add(X_80,X_79)),inverse(add(X_79,add(X_80,X_79))))) = add(X_80,X_79),
inference(subst,[],[refute_0_530:[bind(X_78,$fot(X_79)),bind(X_79,$fot(X_80))]]) ).
cnf(refute_0_532,plain,
( inverse(add(inverse(add(X_80,X_79)),inverse(add(X_79,add(X_80,X_79))))) != add(X_80,X_79)
| inverse(inverse(add(X_79,add(X_80,X_79)))) != add(inverse(add(X_79,inverse(add(X_79,add(X_80,X_79))))),inverse(add(inverse(add(X_80,X_79)),inverse(add(X_79,add(X_80,X_79))))))
| inverse(inverse(add(X_79,add(X_80,X_79)))) = add(inverse(add(X_79,inverse(add(X_79,add(X_80,X_79))))),add(X_80,X_79)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(add(X_79,add(X_80,X_79)))),add(inverse(add(X_79,inverse(add(X_79,add(X_80,X_79))))),inverse(add(inverse(add(X_80,X_79)),inverse(add(X_79,add(X_80,X_79))))))) ),[1,1],$fot(add(X_80,X_79))]]) ).
cnf(refute_0_533,plain,
( inverse(inverse(add(X_79,add(X_80,X_79)))) != add(inverse(add(X_79,inverse(add(X_79,add(X_80,X_79))))),inverse(add(inverse(add(X_80,X_79)),inverse(add(X_79,add(X_80,X_79))))))
| inverse(inverse(add(X_79,add(X_80,X_79)))) = add(inverse(add(X_79,inverse(add(X_79,add(X_80,X_79))))),add(X_80,X_79)) ),
inference(resolve,[$cnf( $equal(inverse(add(inverse(add(X_80,X_79)),inverse(add(X_79,add(X_80,X_79))))),add(X_80,X_79)) )],[refute_0_531,refute_0_532]) ).
cnf(refute_0_534,plain,
inverse(inverse(add(X_79,add(X_80,X_79)))) = add(inverse(add(X_79,inverse(add(X_79,add(X_80,X_79))))),add(X_80,X_79)),
inference(resolve,[$cnf( $equal(inverse(inverse(add(X_79,add(X_80,X_79)))),add(inverse(add(X_79,inverse(add(X_79,add(X_80,X_79))))),inverse(add(inverse(add(X_80,X_79)),inverse(add(X_79,add(X_80,X_79))))))) )],[refute_0_183,refute_0_533]) ).
cnf(refute_0_535,plain,
inverse(inverse(add(X_79,add(X_80,X_79)))) = add(X_79,add(X_80,X_79)),
inference(subst,[],[refute_0_130:[bind(C,$fot(add(X_79,add(X_80,X_79))))]]) ).
cnf(refute_0_536,plain,
( inverse(inverse(add(X_79,add(X_80,X_79)))) != add(X_79,add(X_80,X_79))
| inverse(inverse(add(X_79,add(X_80,X_79)))) != add(inverse(add(X_79,inverse(add(X_79,add(X_80,X_79))))),add(X_80,X_79))
| add(X_79,add(X_80,X_79)) = add(inverse(add(X_79,inverse(add(X_79,add(X_80,X_79))))),add(X_80,X_79)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(add(X_79,add(X_80,X_79)))),add(inverse(add(X_79,inverse(add(X_79,add(X_80,X_79))))),add(X_80,X_79))) ),[0],$fot(add(X_79,add(X_80,X_79)))]]) ).
cnf(refute_0_537,plain,
( inverse(inverse(add(X_79,add(X_80,X_79)))) != add(inverse(add(X_79,inverse(add(X_79,add(X_80,X_79))))),add(X_80,X_79))
| add(X_79,add(X_80,X_79)) = add(inverse(add(X_79,inverse(add(X_79,add(X_80,X_79))))),add(X_80,X_79)) ),
inference(resolve,[$cnf( $equal(inverse(inverse(add(X_79,add(X_80,X_79)))),add(X_79,add(X_80,X_79))) )],[refute_0_535,refute_0_536]) ).
cnf(refute_0_538,plain,
add(X_79,add(X_80,X_79)) = add(inverse(add(X_79,inverse(add(X_79,add(X_80,X_79))))),add(X_80,X_79)),
inference(resolve,[$cnf( $equal(inverse(inverse(add(X_79,add(X_80,X_79)))),add(inverse(add(X_79,inverse(add(X_79,add(X_80,X_79))))),add(X_80,X_79))) )],[refute_0_534,refute_0_537]) ).
cnf(refute_0_539,plain,
add(inverse(add(inverse(add(X_191,X_192)),X_191)),add(inverse(X_191),inverse(add(inverse(add(X_191,X_192)),X_191)))) = add(inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),add(inverse(X_191),inverse(add(inverse(add(X_191,X_192)),X_191))))))),add(inverse(X_191),inverse(add(inverse(add(X_191,X_192)),X_191)))),
inference(subst,[],[refute_0_538:[bind(X_79,$fot(inverse(add(inverse(add(X_191,X_192)),X_191)))),bind(X_80,$fot(inverse(X_191)))]]) ).
cnf(refute_0_540,plain,
inverse(inverse(add(inverse(X_89),inverse(add(inverse(add(X_90,X_89)),X_89))))) = add(inverse(X_89),inverse(add(inverse(add(X_90,X_89)),X_89))),
inference(subst,[],[refute_0_130:[bind(C,$fot(add(inverse(X_89),inverse(add(inverse(add(X_90,X_89)),X_89)))))]]) ).
cnf(refute_0_541,plain,
inverse(add(inverse(add(X_78,X_78)),inverse(add(inverse(add(X_80,X_78)),X_78)))) = X_78,
inference(subst,[],[refute_0_178:[bind(C,$fot(X_78)),bind(X_2,$fot(X_78)),bind(X_8,$fot(X_80))]]) ).
cnf(refute_0_542,plain,
add(X_78,X_78) = X_78,
inference(subst,[],[refute_0_432:[bind(X_43,$fot(X_78))]]) ).
cnf(refute_0_543,plain,
( add(X_78,X_78) != X_78
| inverse(add(inverse(add(X_78,X_78)),inverse(add(inverse(add(X_80,X_78)),X_78)))) != X_78
| inverse(add(inverse(X_78),inverse(add(inverse(add(X_80,X_78)),X_78)))) = X_78 ),
introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(add(X_78,X_78)),inverse(add(inverse(add(X_80,X_78)),X_78)))),X_78) ),[0,0,0,0],$fot(X_78)]]) ).
cnf(refute_0_544,plain,
( inverse(add(inverse(add(X_78,X_78)),inverse(add(inverse(add(X_80,X_78)),X_78)))) != X_78
| inverse(add(inverse(X_78),inverse(add(inverse(add(X_80,X_78)),X_78)))) = X_78 ),
inference(resolve,[$cnf( $equal(add(X_78,X_78),X_78) )],[refute_0_542,refute_0_543]) ).
cnf(refute_0_545,plain,
inverse(add(inverse(X_78),inverse(add(inverse(add(X_80,X_78)),X_78)))) = X_78,
inference(resolve,[$cnf( $equal(inverse(add(inverse(add(X_78,X_78)),inverse(add(inverse(add(X_80,X_78)),X_78)))),X_78) )],[refute_0_541,refute_0_544]) ).
cnf(refute_0_546,plain,
inverse(add(inverse(X_89),inverse(add(inverse(add(X_90,X_89)),X_89)))) = X_89,
inference(subst,[],[refute_0_545:[bind(X_78,$fot(X_89)),bind(X_80,$fot(X_90))]]) ).
cnf(refute_0_547,plain,
( inverse(add(inverse(X_89),inverse(add(inverse(add(X_90,X_89)),X_89)))) != X_89
| inverse(inverse(add(inverse(X_89),inverse(add(inverse(add(X_90,X_89)),X_89))))) != add(inverse(X_89),inverse(add(inverse(add(X_90,X_89)),X_89)))
| inverse(X_89) = add(inverse(X_89),inverse(add(inverse(add(X_90,X_89)),X_89))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(add(inverse(X_89),inverse(add(inverse(add(X_90,X_89)),X_89))))),add(inverse(X_89),inverse(add(inverse(add(X_90,X_89)),X_89)))) ),[0,0],$fot(X_89)]]) ).
cnf(refute_0_548,plain,
( inverse(inverse(add(inverse(X_89),inverse(add(inverse(add(X_90,X_89)),X_89))))) != add(inverse(X_89),inverse(add(inverse(add(X_90,X_89)),X_89)))
| inverse(X_89) = add(inverse(X_89),inverse(add(inverse(add(X_90,X_89)),X_89))) ),
inference(resolve,[$cnf( $equal(inverse(add(inverse(X_89),inverse(add(inverse(add(X_90,X_89)),X_89)))),X_89) )],[refute_0_546,refute_0_547]) ).
cnf(refute_0_549,plain,
inverse(X_89) = add(inverse(X_89),inverse(add(inverse(add(X_90,X_89)),X_89))),
inference(resolve,[$cnf( $equal(inverse(inverse(add(inverse(X_89),inverse(add(inverse(add(X_90,X_89)),X_89))))),add(inverse(X_89),inverse(add(inverse(add(X_90,X_89)),X_89)))) )],[refute_0_540,refute_0_548]) ).
cnf(refute_0_550,plain,
inverse(inverse(add(X_106,X_107))) = add(inverse(inverse(add(X_106,X_107))),inverse(add(inverse(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107)))),inverse(add(X_106,X_107))))),
inference(subst,[],[refute_0_549:[bind(X_89,$fot(inverse(add(X_106,X_107)))),bind(X_90,$fot(inverse(add(inverse(add(inverse(X_106),X_106)),X_107))))]]) ).
cnf(refute_0_551,plain,
( add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))) != inverse(X_107)
| inverse(inverse(add(X_106,X_107))) != add(inverse(inverse(add(X_106,X_107))),inverse(add(inverse(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107)))),inverse(add(X_106,X_107)))))
| inverse(inverse(add(X_106,X_107))) = add(inverse(inverse(add(X_106,X_107))),inverse(add(inverse(inverse(X_107)),inverse(add(X_106,X_107))))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(add(X_106,X_107))),add(inverse(inverse(add(X_106,X_107))),inverse(add(inverse(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107)))),inverse(add(X_106,X_107)))))) ),[1,1,0,0,0],$fot(inverse(X_107))]]) ).
cnf(refute_0_552,plain,
( inverse(inverse(add(X_106,X_107))) != add(inverse(inverse(add(X_106,X_107))),inverse(add(inverse(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107)))),inverse(add(X_106,X_107)))))
| inverse(inverse(add(X_106,X_107))) = add(inverse(inverse(add(X_106,X_107))),inverse(add(inverse(inverse(X_107)),inverse(add(X_106,X_107))))) ),
inference(resolve,[$cnf( $equal(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))),inverse(X_107)) )],[refute_0_352,refute_0_551]) ).
cnf(refute_0_553,plain,
inverse(inverse(add(X_106,X_107))) = add(inverse(inverse(add(X_106,X_107))),inverse(add(inverse(inverse(X_107)),inverse(add(X_106,X_107))))),
inference(resolve,[$cnf( $equal(inverse(inverse(add(X_106,X_107))),add(inverse(inverse(add(X_106,X_107))),inverse(add(inverse(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107)))),inverse(add(X_106,X_107)))))) )],[refute_0_550,refute_0_552]) ).
cnf(refute_0_554,plain,
inverse(inverse(add(X_106,X_107))) = add(X_106,X_107),
inference(subst,[],[refute_0_130:[bind(C,$fot(add(X_106,X_107)))]]) ).
cnf(refute_0_555,plain,
( inverse(inverse(add(X_106,X_107))) != add(X_106,X_107)
| inverse(inverse(add(X_106,X_107))) != add(inverse(inverse(add(X_106,X_107))),inverse(add(inverse(inverse(X_107)),inverse(add(X_106,X_107)))))
| add(X_106,X_107) = add(inverse(inverse(add(X_106,X_107))),inverse(add(inverse(inverse(X_107)),inverse(add(X_106,X_107))))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(add(X_106,X_107))),add(inverse(inverse(add(X_106,X_107))),inverse(add(inverse(inverse(X_107)),inverse(add(X_106,X_107)))))) ),[0],$fot(add(X_106,X_107))]]) ).
cnf(refute_0_556,plain,
( inverse(inverse(add(X_106,X_107))) != add(inverse(inverse(add(X_106,X_107))),inverse(add(inverse(inverse(X_107)),inverse(add(X_106,X_107)))))
| add(X_106,X_107) = add(inverse(inverse(add(X_106,X_107))),inverse(add(inverse(inverse(X_107)),inverse(add(X_106,X_107))))) ),
inference(resolve,[$cnf( $equal(inverse(inverse(add(X_106,X_107))),add(X_106,X_107)) )],[refute_0_554,refute_0_555]) ).
cnf(refute_0_557,plain,
add(inverse(inverse(X_107)),inverse(add(X_106,X_107))) = add(inverse(inverse(X_107)),inverse(add(X_106,X_107))),
introduced(tautology,[refl,[$fot(add(inverse(inverse(X_107)),inverse(add(X_106,X_107))))]]) ).
cnf(refute_0_558,plain,
( add(inverse(inverse(X_107)),inverse(add(X_106,X_107))) != add(inverse(inverse(X_107)),inverse(add(X_106,X_107)))
| inverse(inverse(X_107)) != X_107
| add(inverse(inverse(X_107)),inverse(add(X_106,X_107))) = add(X_107,inverse(add(X_106,X_107))) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(inverse(X_107)),inverse(add(X_106,X_107))),add(inverse(inverse(X_107)),inverse(add(X_106,X_107)))) ),[1,0],$fot(X_107)]]) ).
cnf(refute_0_559,plain,
( inverse(inverse(X_107)) != X_107
| add(inverse(inverse(X_107)),inverse(add(X_106,X_107))) = add(X_107,inverse(add(X_106,X_107))) ),
inference(resolve,[$cnf( $equal(add(inverse(inverse(X_107)),inverse(add(X_106,X_107))),add(inverse(inverse(X_107)),inverse(add(X_106,X_107)))) )],[refute_0_557,refute_0_558]) ).
cnf(refute_0_560,plain,
add(inverse(inverse(X_107)),inverse(add(X_106,X_107))) = add(X_107,inverse(add(X_106,X_107))),
inference(resolve,[$cnf( $equal(inverse(inverse(X_107)),X_107) )],[refute_0_368,refute_0_559]) ).
cnf(refute_0_561,plain,
inverse(add(inverse(inverse(X_107)),inverse(add(X_106,X_107)))) = inverse(add(inverse(inverse(X_107)),inverse(add(X_106,X_107)))),
introduced(tautology,[refl,[$fot(inverse(add(inverse(inverse(X_107)),inverse(add(X_106,X_107)))))]]) ).
cnf(refute_0_562,plain,
( add(inverse(inverse(X_107)),inverse(add(X_106,X_107))) != add(X_107,inverse(add(X_106,X_107)))
| inverse(add(inverse(inverse(X_107)),inverse(add(X_106,X_107)))) != inverse(add(inverse(inverse(X_107)),inverse(add(X_106,X_107))))
| inverse(add(inverse(inverse(X_107)),inverse(add(X_106,X_107)))) = inverse(add(X_107,inverse(add(X_106,X_107)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(inverse(X_107)),inverse(add(X_106,X_107)))),inverse(add(inverse(inverse(X_107)),inverse(add(X_106,X_107))))) ),[1,0],$fot(add(X_107,inverse(add(X_106,X_107))))]]) ).
cnf(refute_0_563,plain,
( add(inverse(inverse(X_107)),inverse(add(X_106,X_107))) != add(X_107,inverse(add(X_106,X_107)))
| inverse(add(inverse(inverse(X_107)),inverse(add(X_106,X_107)))) = inverse(add(X_107,inverse(add(X_106,X_107)))) ),
inference(resolve,[$cnf( $equal(inverse(add(inverse(inverse(X_107)),inverse(add(X_106,X_107)))),inverse(add(inverse(inverse(X_107)),inverse(add(X_106,X_107))))) )],[refute_0_561,refute_0_562]) ).
cnf(refute_0_564,plain,
inverse(add(inverse(inverse(X_107)),inverse(add(X_106,X_107)))) = inverse(add(X_107,inverse(add(X_106,X_107)))),
inference(resolve,[$cnf( $equal(add(inverse(inverse(X_107)),inverse(add(X_106,X_107))),add(X_107,inverse(add(X_106,X_107)))) )],[refute_0_560,refute_0_563]) ).
cnf(refute_0_565,plain,
add(add(X_106,X_107),inverse(add(inverse(inverse(X_107)),inverse(add(X_106,X_107))))) = add(add(X_106,X_107),inverse(add(inverse(inverse(X_107)),inverse(add(X_106,X_107))))),
introduced(tautology,[refl,[$fot(add(add(X_106,X_107),inverse(add(inverse(inverse(X_107)),inverse(add(X_106,X_107))))))]]) ).
cnf(refute_0_566,plain,
( add(add(X_106,X_107),inverse(add(inverse(inverse(X_107)),inverse(add(X_106,X_107))))) != add(add(X_106,X_107),inverse(add(inverse(inverse(X_107)),inverse(add(X_106,X_107)))))
| inverse(add(inverse(inverse(X_107)),inverse(add(X_106,X_107)))) != inverse(add(X_107,inverse(add(X_106,X_107))))
| add(add(X_106,X_107),inverse(add(inverse(inverse(X_107)),inverse(add(X_106,X_107))))) = add(add(X_106,X_107),inverse(add(X_107,inverse(add(X_106,X_107))))) ),
introduced(tautology,[equality,[$cnf( $equal(add(add(X_106,X_107),inverse(add(inverse(inverse(X_107)),inverse(add(X_106,X_107))))),add(add(X_106,X_107),inverse(add(inverse(inverse(X_107)),inverse(add(X_106,X_107)))))) ),[1,1],$fot(inverse(add(X_107,inverse(add(X_106,X_107)))))]]) ).
cnf(refute_0_567,plain,
( inverse(add(inverse(inverse(X_107)),inverse(add(X_106,X_107)))) != inverse(add(X_107,inverse(add(X_106,X_107))))
| add(add(X_106,X_107),inverse(add(inverse(inverse(X_107)),inverse(add(X_106,X_107))))) = add(add(X_106,X_107),inverse(add(X_107,inverse(add(X_106,X_107))))) ),
inference(resolve,[$cnf( $equal(add(add(X_106,X_107),inverse(add(inverse(inverse(X_107)),inverse(add(X_106,X_107))))),add(add(X_106,X_107),inverse(add(inverse(inverse(X_107)),inverse(add(X_106,X_107)))))) )],[refute_0_565,refute_0_566]) ).
cnf(refute_0_568,plain,
add(add(X_106,X_107),inverse(add(inverse(inverse(X_107)),inverse(add(X_106,X_107))))) = add(add(X_106,X_107),inverse(add(X_107,inverse(add(X_106,X_107))))),
inference(resolve,[$cnf( $equal(inverse(add(inverse(inverse(X_107)),inverse(add(X_106,X_107)))),inverse(add(X_107,inverse(add(X_106,X_107))))) )],[refute_0_564,refute_0_567]) ).
cnf(refute_0_569,plain,
add(inverse(inverse(add(X_106,X_107))),inverse(add(inverse(inverse(X_107)),inverse(add(X_106,X_107))))) = add(inverse(inverse(add(X_106,X_107))),inverse(add(inverse(inverse(X_107)),inverse(add(X_106,X_107))))),
introduced(tautology,[refl,[$fot(add(inverse(inverse(add(X_106,X_107))),inverse(add(inverse(inverse(X_107)),inverse(add(X_106,X_107))))))]]) ).
cnf(refute_0_570,plain,
( add(inverse(inverse(add(X_106,X_107))),inverse(add(inverse(inverse(X_107)),inverse(add(X_106,X_107))))) != add(inverse(inverse(add(X_106,X_107))),inverse(add(inverse(inverse(X_107)),inverse(add(X_106,X_107)))))
| inverse(inverse(add(X_106,X_107))) != add(X_106,X_107)
| add(inverse(inverse(add(X_106,X_107))),inverse(add(inverse(inverse(X_107)),inverse(add(X_106,X_107))))) = add(add(X_106,X_107),inverse(add(inverse(inverse(X_107)),inverse(add(X_106,X_107))))) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(inverse(add(X_106,X_107))),inverse(add(inverse(inverse(X_107)),inverse(add(X_106,X_107))))),add(inverse(inverse(add(X_106,X_107))),inverse(add(inverse(inverse(X_107)),inverse(add(X_106,X_107)))))) ),[1,0],$fot(add(X_106,X_107))]]) ).
cnf(refute_0_571,plain,
( inverse(inverse(add(X_106,X_107))) != add(X_106,X_107)
| add(inverse(inverse(add(X_106,X_107))),inverse(add(inverse(inverse(X_107)),inverse(add(X_106,X_107))))) = add(add(X_106,X_107),inverse(add(inverse(inverse(X_107)),inverse(add(X_106,X_107))))) ),
inference(resolve,[$cnf( $equal(add(inverse(inverse(add(X_106,X_107))),inverse(add(inverse(inverse(X_107)),inverse(add(X_106,X_107))))),add(inverse(inverse(add(X_106,X_107))),inverse(add(inverse(inverse(X_107)),inverse(add(X_106,X_107)))))) )],[refute_0_569,refute_0_570]) ).
cnf(refute_0_572,plain,
add(inverse(inverse(add(X_106,X_107))),inverse(add(inverse(inverse(X_107)),inverse(add(X_106,X_107))))) = add(add(X_106,X_107),inverse(add(inverse(inverse(X_107)),inverse(add(X_106,X_107))))),
inference(resolve,[$cnf( $equal(inverse(inverse(add(X_106,X_107))),add(X_106,X_107)) )],[refute_0_554,refute_0_571]) ).
cnf(refute_0_573,plain,
( add(add(X_106,X_107),inverse(add(inverse(inverse(X_107)),inverse(add(X_106,X_107))))) != add(add(X_106,X_107),inverse(add(X_107,inverse(add(X_106,X_107)))))
| add(inverse(inverse(add(X_106,X_107))),inverse(add(inverse(inverse(X_107)),inverse(add(X_106,X_107))))) != add(add(X_106,X_107),inverse(add(inverse(inverse(X_107)),inverse(add(X_106,X_107)))))
| add(inverse(inverse(add(X_106,X_107))),inverse(add(inverse(inverse(X_107)),inverse(add(X_106,X_107))))) = add(add(X_106,X_107),inverse(add(X_107,inverse(add(X_106,X_107))))) ),
inference(subst,[],[refute_0_104:[bind(X,$fot(add(inverse(inverse(add(X_106,X_107))),inverse(add(inverse(inverse(X_107)),inverse(add(X_106,X_107))))))),bind(Y,$fot(add(add(X_106,X_107),inverse(add(inverse(inverse(X_107)),inverse(add(X_106,X_107))))))),bind(Z,$fot(add(add(X_106,X_107),inverse(add(X_107,inverse(add(X_106,X_107)))))))]]) ).
cnf(refute_0_574,plain,
( add(add(X_106,X_107),inverse(add(inverse(inverse(X_107)),inverse(add(X_106,X_107))))) != add(add(X_106,X_107),inverse(add(X_107,inverse(add(X_106,X_107)))))
| add(inverse(inverse(add(X_106,X_107))),inverse(add(inverse(inverse(X_107)),inverse(add(X_106,X_107))))) = add(add(X_106,X_107),inverse(add(X_107,inverse(add(X_106,X_107))))) ),
inference(resolve,[$cnf( $equal(add(inverse(inverse(add(X_106,X_107))),inverse(add(inverse(inverse(X_107)),inverse(add(X_106,X_107))))),add(add(X_106,X_107),inverse(add(inverse(inverse(X_107)),inverse(add(X_106,X_107)))))) )],[refute_0_572,refute_0_573]) ).
cnf(refute_0_575,plain,
add(inverse(inverse(add(X_106,X_107))),inverse(add(inverse(inverse(X_107)),inverse(add(X_106,X_107))))) = add(add(X_106,X_107),inverse(add(X_107,inverse(add(X_106,X_107))))),
inference(resolve,[$cnf( $equal(add(add(X_106,X_107),inverse(add(inverse(inverse(X_107)),inverse(add(X_106,X_107))))),add(add(X_106,X_107),inverse(add(X_107,inverse(add(X_106,X_107)))))) )],[refute_0_568,refute_0_574]) ).
cnf(refute_0_576,plain,
( add(X_106,X_107) != add(inverse(inverse(add(X_106,X_107))),inverse(add(inverse(inverse(X_107)),inverse(add(X_106,X_107)))))
| add(inverse(inverse(add(X_106,X_107))),inverse(add(inverse(inverse(X_107)),inverse(add(X_106,X_107))))) != add(add(X_106,X_107),inverse(add(X_107,inverse(add(X_106,X_107)))))
| add(X_106,X_107) = add(add(X_106,X_107),inverse(add(X_107,inverse(add(X_106,X_107))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(add(X_106,X_107),add(add(X_106,X_107),inverse(add(X_107,inverse(add(X_106,X_107)))))) ),[0],$fot(add(inverse(inverse(add(X_106,X_107))),inverse(add(inverse(inverse(X_107)),inverse(add(X_106,X_107))))))]]) ).
cnf(refute_0_577,plain,
( add(X_106,X_107) != add(inverse(inverse(add(X_106,X_107))),inverse(add(inverse(inverse(X_107)),inverse(add(X_106,X_107)))))
| add(X_106,X_107) = add(add(X_106,X_107),inverse(add(X_107,inverse(add(X_106,X_107))))) ),
inference(resolve,[$cnf( $equal(add(inverse(inverse(add(X_106,X_107))),inverse(add(inverse(inverse(X_107)),inverse(add(X_106,X_107))))),add(add(X_106,X_107),inverse(add(X_107,inverse(add(X_106,X_107)))))) )],[refute_0_575,refute_0_576]) ).
cnf(refute_0_578,plain,
( inverse(inverse(add(X_106,X_107))) != add(inverse(inverse(add(X_106,X_107))),inverse(add(inverse(inverse(X_107)),inverse(add(X_106,X_107)))))
| add(X_106,X_107) = add(add(X_106,X_107),inverse(add(X_107,inverse(add(X_106,X_107))))) ),
inference(resolve,[$cnf( $equal(add(X_106,X_107),add(inverse(inverse(add(X_106,X_107))),inverse(add(inverse(inverse(X_107)),inverse(add(X_106,X_107)))))) )],[refute_0_556,refute_0_577]) ).
cnf(refute_0_579,plain,
add(X_106,X_107) = add(add(X_106,X_107),inverse(add(X_107,inverse(add(X_106,X_107))))),
inference(resolve,[$cnf( $equal(inverse(inverse(add(X_106,X_107))),add(inverse(inverse(add(X_106,X_107))),inverse(add(inverse(inverse(X_107)),inverse(add(X_106,X_107)))))) )],[refute_0_553,refute_0_578]) ).
cnf(refute_0_580,plain,
add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190))) = add(add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190))),inverse(add(inverse(add(X_189,X_190)),inverse(add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190))))))),
inference(subst,[],[refute_0_579:[bind(X_106,$fot(inverse(add(inverse(add(X_189,X_190)),X_189)))),bind(X_107,$fot(inverse(add(X_189,X_190))))]]) ).
cnf(refute_0_581,plain,
inverse(add(inverse(add(inverse(add(C,D)),C)),inverse(add(inverse(add(C,inverse(add(C,D)))),inverse(add(inverse(C),inverse(add(C,D)))))))) = C,
inference(subst,[],[refute_0_174:[bind(X_2,$fot(inverse(add(C,D)))),bind(X_8,$fot(C))]]) ).
cnf(refute_0_582,plain,
inverse(add(inverse(add(C,inverse(add(C,D)))),inverse(add(inverse(C),inverse(add(C,D)))))) = inverse(add(C,D)),
inference(subst,[],[refute_0_77:[bind(X_12,$fot(C)),bind(X_8,$fot(inverse(add(C,D))))]]) ).
cnf(refute_0_583,plain,
( inverse(add(inverse(add(C,inverse(add(C,D)))),inverse(add(inverse(C),inverse(add(C,D)))))) != inverse(add(C,D))
| inverse(add(inverse(add(inverse(add(C,D)),C)),inverse(add(inverse(add(C,inverse(add(C,D)))),inverse(add(inverse(C),inverse(add(C,D)))))))) != C
| inverse(add(inverse(add(inverse(add(C,D)),C)),inverse(add(C,D)))) = C ),
introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(add(inverse(add(C,D)),C)),inverse(add(inverse(add(C,inverse(add(C,D)))),inverse(add(inverse(C),inverse(add(C,D)))))))),C) ),[0,0,1],$fot(inverse(add(C,D)))]]) ).
cnf(refute_0_584,plain,
( inverse(add(inverse(add(inverse(add(C,D)),C)),inverse(add(inverse(add(C,inverse(add(C,D)))),inverse(add(inverse(C),inverse(add(C,D)))))))) != C
| inverse(add(inverse(add(inverse(add(C,D)),C)),inverse(add(C,D)))) = C ),
inference(resolve,[$cnf( $equal(inverse(add(inverse(add(C,inverse(add(C,D)))),inverse(add(inverse(C),inverse(add(C,D)))))),inverse(add(C,D))) )],[refute_0_582,refute_0_583]) ).
cnf(refute_0_585,plain,
inverse(add(inverse(add(inverse(add(C,D)),C)),inverse(add(C,D)))) = C,
inference(resolve,[$cnf( $equal(inverse(add(inverse(add(inverse(add(C,D)),C)),inverse(add(inverse(add(C,inverse(add(C,D)))),inverse(add(inverse(C),inverse(add(C,D)))))))),C) )],[refute_0_581,refute_0_584]) ).
cnf(refute_0_586,plain,
inverse(add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190)))) = X_189,
inference(subst,[],[refute_0_585:[bind(C,$fot(X_189)),bind(D,$fot(X_190))]]) ).
cnf(refute_0_587,plain,
( add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190))) != add(add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190))),inverse(add(inverse(add(X_189,X_190)),inverse(add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190)))))))
| inverse(add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190)))) != X_189
| add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190))) = add(add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190))),inverse(add(inverse(add(X_189,X_190)),X_189))) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190))),add(add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190))),inverse(add(inverse(add(X_189,X_190)),inverse(add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190)))))))) ),[1,1,0,1],$fot(X_189)]]) ).
cnf(refute_0_588,plain,
( add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190))) != add(add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190))),inverse(add(inverse(add(X_189,X_190)),inverse(add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190)))))))
| add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190))) = add(add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190))),inverse(add(inverse(add(X_189,X_190)),X_189))) ),
inference(resolve,[$cnf( $equal(inverse(add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190)))),X_189) )],[refute_0_586,refute_0_587]) ).
cnf(refute_0_589,plain,
add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190))) = add(add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190))),inverse(add(inverse(add(X_189,X_190)),X_189))),
inference(resolve,[$cnf( $equal(add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190))),add(add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190))),inverse(add(inverse(add(X_189,X_190)),inverse(add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190)))))))) )],[refute_0_580,refute_0_588]) ).
cnf(refute_0_590,plain,
inverse(inverse(add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190))))) = add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190))),
inference(subst,[],[refute_0_130:[bind(C,$fot(add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190)))))]]) ).
cnf(refute_0_591,plain,
( inverse(add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190)))) != X_189
| inverse(inverse(add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190))))) != add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190)))
| inverse(X_189) = add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190))))),add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190)))) ),[0,0],$fot(X_189)]]) ).
cnf(refute_0_592,plain,
( inverse(inverse(add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190))))) != add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190)))
| inverse(X_189) = add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190))) ),
inference(resolve,[$cnf( $equal(inverse(add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190)))),X_189) )],[refute_0_586,refute_0_591]) ).
cnf(refute_0_593,plain,
inverse(X_189) = add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190))),
inference(resolve,[$cnf( $equal(inverse(inverse(add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190))))),add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190)))) )],[refute_0_590,refute_0_592]) ).
cnf(refute_0_594,plain,
( inverse(X_189) != add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190)))
| add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190))) = inverse(X_189) ),
inference(subst,[],[refute_0_102:[bind(X,$fot(inverse(X_189))),bind(Y,$fot(add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190)))))]]) ).
cnf(refute_0_595,plain,
add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190))) = inverse(X_189),
inference(resolve,[$cnf( $equal(inverse(X_189),add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190)))) )],[refute_0_593,refute_0_594]) ).
cnf(refute_0_596,plain,
( add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190))) != add(add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190))),inverse(add(inverse(add(X_189,X_190)),X_189)))
| add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190))) != inverse(X_189)
| inverse(X_189) = add(add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190))),inverse(add(inverse(add(X_189,X_190)),X_189))) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190))),add(add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190))),inverse(add(inverse(add(X_189,X_190)),X_189)))) ),[0],$fot(inverse(X_189))]]) ).
cnf(refute_0_597,plain,
( add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190))) != add(add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190))),inverse(add(inverse(add(X_189,X_190)),X_189)))
| inverse(X_189) = add(add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190))),inverse(add(inverse(add(X_189,X_190)),X_189))) ),
inference(resolve,[$cnf( $equal(add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190))),inverse(X_189)) )],[refute_0_595,refute_0_596]) ).
cnf(refute_0_598,plain,
add(add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190))),inverse(add(inverse(add(X_189,X_190)),X_189))) = add(add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190))),inverse(add(inverse(add(X_189,X_190)),X_189))),
introduced(tautology,[refl,[$fot(add(add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190))),inverse(add(inverse(add(X_189,X_190)),X_189))))]]) ).
cnf(refute_0_599,plain,
( add(add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190))),inverse(add(inverse(add(X_189,X_190)),X_189))) != add(add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190))),inverse(add(inverse(add(X_189,X_190)),X_189)))
| add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190))) != inverse(X_189)
| add(add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190))),inverse(add(inverse(add(X_189,X_190)),X_189))) = add(inverse(X_189),inverse(add(inverse(add(X_189,X_190)),X_189))) ),
introduced(tautology,[equality,[$cnf( $equal(add(add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190))),inverse(add(inverse(add(X_189,X_190)),X_189))),add(add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190))),inverse(add(inverse(add(X_189,X_190)),X_189)))) ),[1,0],$fot(inverse(X_189))]]) ).
cnf(refute_0_600,plain,
( add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190))) != inverse(X_189)
| add(add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190))),inverse(add(inverse(add(X_189,X_190)),X_189))) = add(inverse(X_189),inverse(add(inverse(add(X_189,X_190)),X_189))) ),
inference(resolve,[$cnf( $equal(add(add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190))),inverse(add(inverse(add(X_189,X_190)),X_189))),add(add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190))),inverse(add(inverse(add(X_189,X_190)),X_189)))) )],[refute_0_598,refute_0_599]) ).
cnf(refute_0_601,plain,
add(add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190))),inverse(add(inverse(add(X_189,X_190)),X_189))) = add(inverse(X_189),inverse(add(inverse(add(X_189,X_190)),X_189))),
inference(resolve,[$cnf( $equal(add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190))),inverse(X_189)) )],[refute_0_595,refute_0_600]) ).
cnf(refute_0_602,plain,
( add(add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190))),inverse(add(inverse(add(X_189,X_190)),X_189))) != add(inverse(X_189),inverse(add(inverse(add(X_189,X_190)),X_189)))
| inverse(X_189) != add(add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190))),inverse(add(inverse(add(X_189,X_190)),X_189)))
| inverse(X_189) = add(inverse(X_189),inverse(add(inverse(add(X_189,X_190)),X_189))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(X_189),add(add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190))),inverse(add(inverse(add(X_189,X_190)),X_189)))) ),[1],$fot(add(inverse(X_189),inverse(add(inverse(add(X_189,X_190)),X_189))))]]) ).
cnf(refute_0_603,plain,
( inverse(X_189) != add(add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190))),inverse(add(inverse(add(X_189,X_190)),X_189)))
| inverse(X_189) = add(inverse(X_189),inverse(add(inverse(add(X_189,X_190)),X_189))) ),
inference(resolve,[$cnf( $equal(add(add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190))),inverse(add(inverse(add(X_189,X_190)),X_189))),add(inverse(X_189),inverse(add(inverse(add(X_189,X_190)),X_189)))) )],[refute_0_601,refute_0_602]) ).
cnf(refute_0_604,plain,
( add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190))) != add(add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190))),inverse(add(inverse(add(X_189,X_190)),X_189)))
| inverse(X_189) = add(inverse(X_189),inverse(add(inverse(add(X_189,X_190)),X_189))) ),
inference(resolve,[$cnf( $equal(inverse(X_189),add(add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190))),inverse(add(inverse(add(X_189,X_190)),X_189)))) )],[refute_0_597,refute_0_603]) ).
cnf(refute_0_605,plain,
inverse(X_189) = add(inverse(X_189),inverse(add(inverse(add(X_189,X_190)),X_189))),
inference(resolve,[$cnf( $equal(add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190))),add(add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190))),inverse(add(inverse(add(X_189,X_190)),X_189)))) )],[refute_0_589,refute_0_604]) ).
cnf(refute_0_606,plain,
inverse(X_191) = add(inverse(X_191),inverse(add(inverse(add(X_191,X_192)),X_191))),
inference(subst,[],[refute_0_605:[bind(X_189,$fot(X_191)),bind(X_190,$fot(X_192))]]) ).
cnf(refute_0_607,plain,
( inverse(X_191) != add(inverse(X_191),inverse(add(inverse(add(X_191,X_192)),X_191)))
| add(inverse(X_191),inverse(add(inverse(add(X_191,X_192)),X_191))) = inverse(X_191) ),
inference(subst,[],[refute_0_102:[bind(X,$fot(inverse(X_191))),bind(Y,$fot(add(inverse(X_191),inverse(add(inverse(add(X_191,X_192)),X_191)))))]]) ).
cnf(refute_0_608,plain,
add(inverse(X_191),inverse(add(inverse(add(X_191,X_192)),X_191))) = inverse(X_191),
inference(resolve,[$cnf( $equal(inverse(X_191),add(inverse(X_191),inverse(add(inverse(add(X_191,X_192)),X_191)))) )],[refute_0_606,refute_0_607]) ).
cnf(refute_0_609,plain,
( add(inverse(X_191),inverse(add(inverse(add(X_191,X_192)),X_191))) != inverse(X_191)
| add(inverse(add(inverse(add(X_191,X_192)),X_191)),add(inverse(X_191),inverse(add(inverse(add(X_191,X_192)),X_191)))) != add(inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),add(inverse(X_191),inverse(add(inverse(add(X_191,X_192)),X_191))))))),add(inverse(X_191),inverse(add(inverse(add(X_191,X_192)),X_191))))
| add(inverse(add(inverse(add(X_191,X_192)),X_191)),add(inverse(X_191),inverse(add(inverse(add(X_191,X_192)),X_191)))) = add(inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(X_191))))),add(inverse(X_191),inverse(add(inverse(add(X_191,X_192)),X_191)))) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(add(inverse(add(X_191,X_192)),X_191)),add(inverse(X_191),inverse(add(inverse(add(X_191,X_192)),X_191)))),add(inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),add(inverse(X_191),inverse(add(inverse(add(X_191,X_192)),X_191))))))),add(inverse(X_191),inverse(add(inverse(add(X_191,X_192)),X_191))))) ),[1,0,0,1,0,1],$fot(inverse(X_191))]]) ).
cnf(refute_0_610,plain,
( add(inverse(add(inverse(add(X_191,X_192)),X_191)),add(inverse(X_191),inverse(add(inverse(add(X_191,X_192)),X_191)))) != add(inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),add(inverse(X_191),inverse(add(inverse(add(X_191,X_192)),X_191))))))),add(inverse(X_191),inverse(add(inverse(add(X_191,X_192)),X_191))))
| add(inverse(add(inverse(add(X_191,X_192)),X_191)),add(inverse(X_191),inverse(add(inverse(add(X_191,X_192)),X_191)))) = add(inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(X_191))))),add(inverse(X_191),inverse(add(inverse(add(X_191,X_192)),X_191)))) ),
inference(resolve,[$cnf( $equal(add(inverse(X_191),inverse(add(inverse(add(X_191,X_192)),X_191))),inverse(X_191)) )],[refute_0_608,refute_0_609]) ).
cnf(refute_0_611,plain,
add(inverse(add(inverse(add(X_191,X_192)),X_191)),add(inverse(X_191),inverse(add(inverse(add(X_191,X_192)),X_191)))) = add(inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(X_191))))),add(inverse(X_191),inverse(add(inverse(add(X_191,X_192)),X_191)))),
inference(resolve,[$cnf( $equal(add(inverse(add(inverse(add(X_191,X_192)),X_191)),add(inverse(X_191),inverse(add(inverse(add(X_191,X_192)),X_191)))),add(inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),add(inverse(X_191),inverse(add(inverse(add(X_191,X_192)),X_191))))))),add(inverse(X_191),inverse(add(inverse(add(X_191,X_192)),X_191))))) )],[refute_0_539,refute_0_610]) ).
cnf(refute_0_612,plain,
add(inverse(add(inverse(add(X_191,X_192)),X_191)),add(inverse(X_191),inverse(add(inverse(add(X_191,X_192)),X_191)))) = add(inverse(add(inverse(add(X_191,X_192)),X_191)),add(inverse(X_191),inverse(add(inverse(add(X_191,X_192)),X_191)))),
introduced(tautology,[refl,[$fot(add(inverse(add(inverse(add(X_191,X_192)),X_191)),add(inverse(X_191),inverse(add(inverse(add(X_191,X_192)),X_191)))))]]) ).
cnf(refute_0_613,plain,
( add(inverse(X_191),inverse(add(inverse(add(X_191,X_192)),X_191))) != inverse(X_191)
| add(inverse(add(inverse(add(X_191,X_192)),X_191)),add(inverse(X_191),inverse(add(inverse(add(X_191,X_192)),X_191)))) != add(inverse(add(inverse(add(X_191,X_192)),X_191)),add(inverse(X_191),inverse(add(inverse(add(X_191,X_192)),X_191))))
| add(inverse(add(inverse(add(X_191,X_192)),X_191)),add(inverse(X_191),inverse(add(inverse(add(X_191,X_192)),X_191)))) = add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(X_191)) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(add(inverse(add(X_191,X_192)),X_191)),add(inverse(X_191),inverse(add(inverse(add(X_191,X_192)),X_191)))),add(inverse(add(inverse(add(X_191,X_192)),X_191)),add(inverse(X_191),inverse(add(inverse(add(X_191,X_192)),X_191))))) ),[1,1],$fot(inverse(X_191))]]) ).
cnf(refute_0_614,plain,
( add(inverse(X_191),inverse(add(inverse(add(X_191,X_192)),X_191))) != inverse(X_191)
| add(inverse(add(inverse(add(X_191,X_192)),X_191)),add(inverse(X_191),inverse(add(inverse(add(X_191,X_192)),X_191)))) = add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(X_191)) ),
inference(resolve,[$cnf( $equal(add(inverse(add(inverse(add(X_191,X_192)),X_191)),add(inverse(X_191),inverse(add(inverse(add(X_191,X_192)),X_191)))),add(inverse(add(inverse(add(X_191,X_192)),X_191)),add(inverse(X_191),inverse(add(inverse(add(X_191,X_192)),X_191))))) )],[refute_0_612,refute_0_613]) ).
cnf(refute_0_615,plain,
add(inverse(add(inverse(add(X_191,X_192)),X_191)),add(inverse(X_191),inverse(add(inverse(add(X_191,X_192)),X_191)))) = add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(X_191)),
inference(resolve,[$cnf( $equal(add(inverse(X_191),inverse(add(inverse(add(X_191,X_192)),X_191))),inverse(X_191)) )],[refute_0_608,refute_0_614]) ).
cnf(refute_0_616,plain,
( add(inverse(add(inverse(add(X_191,X_192)),X_191)),add(inverse(X_191),inverse(add(inverse(add(X_191,X_192)),X_191)))) != add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(X_191))
| add(inverse(add(inverse(add(X_191,X_192)),X_191)),add(inverse(X_191),inverse(add(inverse(add(X_191,X_192)),X_191)))) != add(inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(X_191))))),add(inverse(X_191),inverse(add(inverse(add(X_191,X_192)),X_191))))
| add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(X_191)) = add(inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(X_191))))),add(inverse(X_191),inverse(add(inverse(add(X_191,X_192)),X_191)))) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(add(inverse(add(X_191,X_192)),X_191)),add(inverse(X_191),inverse(add(inverse(add(X_191,X_192)),X_191)))),add(inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(X_191))))),add(inverse(X_191),inverse(add(inverse(add(X_191,X_192)),X_191))))) ),[0],$fot(add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(X_191)))]]) ).
cnf(refute_0_617,plain,
( add(inverse(add(inverse(add(X_191,X_192)),X_191)),add(inverse(X_191),inverse(add(inverse(add(X_191,X_192)),X_191)))) != add(inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(X_191))))),add(inverse(X_191),inverse(add(inverse(add(X_191,X_192)),X_191))))
| add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(X_191)) = add(inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(X_191))))),add(inverse(X_191),inverse(add(inverse(add(X_191,X_192)),X_191)))) ),
inference(resolve,[$cnf( $equal(add(inverse(add(inverse(add(X_191,X_192)),X_191)),add(inverse(X_191),inverse(add(inverse(add(X_191,X_192)),X_191)))),add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(X_191))) )],[refute_0_615,refute_0_616]) ).
cnf(refute_0_618,plain,
inverse(inverse(add(X_99,X_98))) = add(inverse(add(X_98,inverse(add(X_99,X_98)))),inverse(add(inverse(add(X_99,X_98)),inverse(add(X_99,X_98))))),
inference(subst,[],[refute_0_182:[bind(X_78,$fot(inverse(add(X_99,X_98)))),bind(X_79,$fot(X_98)),bind(X_80,$fot(X_99))]]) ).
cnf(refute_0_619,plain,
add(inverse(add(X_99,X_98)),inverse(add(X_99,X_98))) = inverse(add(X_99,X_98)),
inference(subst,[],[refute_0_432:[bind(X_43,$fot(inverse(add(X_99,X_98))))]]) ).
cnf(refute_0_620,plain,
( add(inverse(add(X_99,X_98)),inverse(add(X_99,X_98))) != inverse(add(X_99,X_98))
| inverse(inverse(add(X_99,X_98))) != add(inverse(add(X_98,inverse(add(X_99,X_98)))),inverse(add(inverse(add(X_99,X_98)),inverse(add(X_99,X_98)))))
| inverse(inverse(add(X_99,X_98))) = add(inverse(add(X_98,inverse(add(X_99,X_98)))),inverse(inverse(add(X_99,X_98)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(add(X_99,X_98))),add(inverse(add(X_98,inverse(add(X_99,X_98)))),inverse(add(inverse(add(X_99,X_98)),inverse(add(X_99,X_98)))))) ),[1,1,0],$fot(inverse(add(X_99,X_98)))]]) ).
cnf(refute_0_621,plain,
( inverse(inverse(add(X_99,X_98))) != add(inverse(add(X_98,inverse(add(X_99,X_98)))),inverse(add(inverse(add(X_99,X_98)),inverse(add(X_99,X_98)))))
| inverse(inverse(add(X_99,X_98))) = add(inverse(add(X_98,inverse(add(X_99,X_98)))),inverse(inverse(add(X_99,X_98)))) ),
inference(resolve,[$cnf( $equal(add(inverse(add(X_99,X_98)),inverse(add(X_99,X_98))),inverse(add(X_99,X_98))) )],[refute_0_619,refute_0_620]) ).
cnf(refute_0_622,plain,
inverse(inverse(add(X_99,X_98))) = add(inverse(add(X_98,inverse(add(X_99,X_98)))),inverse(inverse(add(X_99,X_98)))),
inference(resolve,[$cnf( $equal(inverse(inverse(add(X_99,X_98))),add(inverse(add(X_98,inverse(add(X_99,X_98)))),inverse(add(inverse(add(X_99,X_98)),inverse(add(X_99,X_98)))))) )],[refute_0_618,refute_0_621]) ).
cnf(refute_0_623,plain,
inverse(inverse(add(X_99,X_98))) = add(X_99,X_98),
inference(subst,[],[refute_0_130:[bind(C,$fot(add(X_99,X_98)))]]) ).
cnf(refute_0_624,plain,
( inverse(inverse(add(X_99,X_98))) != add(X_99,X_98)
| inverse(inverse(add(X_99,X_98))) != add(inverse(add(X_98,inverse(add(X_99,X_98)))),inverse(inverse(add(X_99,X_98))))
| add(X_99,X_98) = add(inverse(add(X_98,inverse(add(X_99,X_98)))),inverse(inverse(add(X_99,X_98)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(add(X_99,X_98))),add(inverse(add(X_98,inverse(add(X_99,X_98)))),inverse(inverse(add(X_99,X_98))))) ),[0],$fot(add(X_99,X_98))]]) ).
cnf(refute_0_625,plain,
( inverse(inverse(add(X_99,X_98))) != add(inverse(add(X_98,inverse(add(X_99,X_98)))),inverse(inverse(add(X_99,X_98))))
| add(X_99,X_98) = add(inverse(add(X_98,inverse(add(X_99,X_98)))),inverse(inverse(add(X_99,X_98)))) ),
inference(resolve,[$cnf( $equal(inverse(inverse(add(X_99,X_98))),add(X_99,X_98)) )],[refute_0_623,refute_0_624]) ).
cnf(refute_0_626,plain,
add(inverse(add(X_98,inverse(add(X_99,X_98)))),inverse(inverse(add(X_99,X_98)))) = add(inverse(add(X_98,inverse(add(X_99,X_98)))),inverse(inverse(add(X_99,X_98)))),
introduced(tautology,[refl,[$fot(add(inverse(add(X_98,inverse(add(X_99,X_98)))),inverse(inverse(add(X_99,X_98)))))]]) ).
cnf(refute_0_627,plain,
( add(inverse(add(X_98,inverse(add(X_99,X_98)))),inverse(inverse(add(X_99,X_98)))) != add(inverse(add(X_98,inverse(add(X_99,X_98)))),inverse(inverse(add(X_99,X_98))))
| inverse(inverse(add(X_99,X_98))) != add(X_99,X_98)
| add(inverse(add(X_98,inverse(add(X_99,X_98)))),inverse(inverse(add(X_99,X_98)))) = add(inverse(add(X_98,inverse(add(X_99,X_98)))),add(X_99,X_98)) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(add(X_98,inverse(add(X_99,X_98)))),inverse(inverse(add(X_99,X_98)))),add(inverse(add(X_98,inverse(add(X_99,X_98)))),inverse(inverse(add(X_99,X_98))))) ),[1,1],$fot(add(X_99,X_98))]]) ).
cnf(refute_0_628,plain,
( inverse(inverse(add(X_99,X_98))) != add(X_99,X_98)
| add(inverse(add(X_98,inverse(add(X_99,X_98)))),inverse(inverse(add(X_99,X_98)))) = add(inverse(add(X_98,inverse(add(X_99,X_98)))),add(X_99,X_98)) ),
inference(resolve,[$cnf( $equal(add(inverse(add(X_98,inverse(add(X_99,X_98)))),inverse(inverse(add(X_99,X_98)))),add(inverse(add(X_98,inverse(add(X_99,X_98)))),inverse(inverse(add(X_99,X_98))))) )],[refute_0_626,refute_0_627]) ).
cnf(refute_0_629,plain,
add(inverse(add(X_98,inverse(add(X_99,X_98)))),inverse(inverse(add(X_99,X_98)))) = add(inverse(add(X_98,inverse(add(X_99,X_98)))),add(X_99,X_98)),
inference(resolve,[$cnf( $equal(inverse(inverse(add(X_99,X_98))),add(X_99,X_98)) )],[refute_0_623,refute_0_628]) ).
cnf(refute_0_630,plain,
( add(X_99,X_98) != add(inverse(add(X_98,inverse(add(X_99,X_98)))),inverse(inverse(add(X_99,X_98))))
| add(inverse(add(X_98,inverse(add(X_99,X_98)))),inverse(inverse(add(X_99,X_98)))) != add(inverse(add(X_98,inverse(add(X_99,X_98)))),add(X_99,X_98))
| add(X_99,X_98) = add(inverse(add(X_98,inverse(add(X_99,X_98)))),add(X_99,X_98)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(add(X_99,X_98),add(inverse(add(X_98,inverse(add(X_99,X_98)))),add(X_99,X_98))) ),[0],$fot(add(inverse(add(X_98,inverse(add(X_99,X_98)))),inverse(inverse(add(X_99,X_98)))))]]) ).
cnf(refute_0_631,plain,
( add(X_99,X_98) != add(inverse(add(X_98,inverse(add(X_99,X_98)))),inverse(inverse(add(X_99,X_98))))
| add(X_99,X_98) = add(inverse(add(X_98,inverse(add(X_99,X_98)))),add(X_99,X_98)) ),
inference(resolve,[$cnf( $equal(add(inverse(add(X_98,inverse(add(X_99,X_98)))),inverse(inverse(add(X_99,X_98)))),add(inverse(add(X_98,inverse(add(X_99,X_98)))),add(X_99,X_98))) )],[refute_0_629,refute_0_630]) ).
cnf(refute_0_632,plain,
( inverse(inverse(add(X_99,X_98))) != add(inverse(add(X_98,inverse(add(X_99,X_98)))),inverse(inverse(add(X_99,X_98))))
| add(X_99,X_98) = add(inverse(add(X_98,inverse(add(X_99,X_98)))),add(X_99,X_98)) ),
inference(resolve,[$cnf( $equal(add(X_99,X_98),add(inverse(add(X_98,inverse(add(X_99,X_98)))),inverse(inverse(add(X_99,X_98))))) )],[refute_0_625,refute_0_631]) ).
cnf(refute_0_633,plain,
add(X_99,X_98) = add(inverse(add(X_98,inverse(add(X_99,X_98)))),add(X_99,X_98)),
inference(resolve,[$cnf( $equal(inverse(inverse(add(X_99,X_98))),add(inverse(add(X_98,inverse(add(X_99,X_98)))),inverse(inverse(add(X_99,X_98))))) )],[refute_0_622,refute_0_632]) ).
cnf(refute_0_634,plain,
add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))) = add(inverse(add(inverse(add(X_106,X_107)),inverse(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107)))))),add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107)))),
inference(subst,[],[refute_0_633:[bind(X_98,$fot(inverse(add(X_106,X_107)))),bind(X_99,$fot(inverse(add(inverse(add(inverse(X_106),X_106)),X_107))))]]) ).
cnf(refute_0_635,plain,
( add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))) != add(inverse(add(inverse(add(X_106,X_107)),inverse(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107)))))),add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))))
| add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))) != inverse(X_107)
| add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))) = add(inverse(add(inverse(add(X_106,X_107)),inverse(inverse(X_107)))),add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107)))) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))),add(inverse(add(inverse(add(X_106,X_107)),inverse(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107)))))),add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))))) ),[1,0,0,1,0],$fot(inverse(X_107))]]) ).
cnf(refute_0_636,plain,
( add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))) != add(inverse(add(inverse(add(X_106,X_107)),inverse(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107)))))),add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))))
| add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))) = add(inverse(add(inverse(add(X_106,X_107)),inverse(inverse(X_107)))),add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107)))) ),
inference(resolve,[$cnf( $equal(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))),inverse(X_107)) )],[refute_0_352,refute_0_635]) ).
cnf(refute_0_637,plain,
add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))) = add(inverse(add(inverse(add(X_106,X_107)),inverse(inverse(X_107)))),add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107)))),
inference(resolve,[$cnf( $equal(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))),add(inverse(add(inverse(add(X_106,X_107)),inverse(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107)))))),add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))))) )],[refute_0_634,refute_0_636]) ).
cnf(refute_0_638,plain,
( add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))) != add(inverse(add(inverse(add(X_106,X_107)),inverse(inverse(X_107)))),add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))))
| add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))) != inverse(X_107)
| inverse(X_107) = add(inverse(add(inverse(add(X_106,X_107)),inverse(inverse(X_107)))),add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107)))) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))),add(inverse(add(inverse(add(X_106,X_107)),inverse(inverse(X_107)))),add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))))) ),[0],$fot(inverse(X_107))]]) ).
cnf(refute_0_639,plain,
( add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))) != add(inverse(add(inverse(add(X_106,X_107)),inverse(inverse(X_107)))),add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))))
| inverse(X_107) = add(inverse(add(inverse(add(X_106,X_107)),inverse(inverse(X_107)))),add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107)))) ),
inference(resolve,[$cnf( $equal(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))),inverse(X_107)) )],[refute_0_352,refute_0_638]) ).
cnf(refute_0_640,plain,
add(inverse(add(inverse(add(X_106,X_107)),X_107)),add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107)))) = add(inverse(add(inverse(add(X_106,X_107)),X_107)),add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107)))),
introduced(tautology,[refl,[$fot(add(inverse(add(inverse(add(X_106,X_107)),X_107)),add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107)))))]]) ).
cnf(refute_0_641,plain,
( add(inverse(add(inverse(add(X_106,X_107)),X_107)),add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107)))) != add(inverse(add(inverse(add(X_106,X_107)),X_107)),add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))))
| add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))) != inverse(X_107)
| add(inverse(add(inverse(add(X_106,X_107)),X_107)),add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107)))) = add(inverse(add(inverse(add(X_106,X_107)),X_107)),inverse(X_107)) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(add(inverse(add(X_106,X_107)),X_107)),add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107)))),add(inverse(add(inverse(add(X_106,X_107)),X_107)),add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))))) ),[1,1],$fot(inverse(X_107))]]) ).
cnf(refute_0_642,plain,
( add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))) != inverse(X_107)
| add(inverse(add(inverse(add(X_106,X_107)),X_107)),add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107)))) = add(inverse(add(inverse(add(X_106,X_107)),X_107)),inverse(X_107)) ),
inference(resolve,[$cnf( $equal(add(inverse(add(inverse(add(X_106,X_107)),X_107)),add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107)))),add(inverse(add(inverse(add(X_106,X_107)),X_107)),add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))))) )],[refute_0_640,refute_0_641]) ).
cnf(refute_0_643,plain,
add(inverse(add(inverse(add(X_106,X_107)),X_107)),add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107)))) = add(inverse(add(inverse(add(X_106,X_107)),X_107)),inverse(X_107)),
inference(resolve,[$cnf( $equal(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))),inverse(X_107)) )],[refute_0_352,refute_0_642]) ).
cnf(refute_0_644,plain,
add(inverse(add(X_106,X_107)),inverse(inverse(X_107))) = add(inverse(add(X_106,X_107)),inverse(inverse(X_107))),
introduced(tautology,[refl,[$fot(add(inverse(add(X_106,X_107)),inverse(inverse(X_107))))]]) ).
cnf(refute_0_645,plain,
( add(inverse(add(X_106,X_107)),inverse(inverse(X_107))) != add(inverse(add(X_106,X_107)),inverse(inverse(X_107)))
| inverse(inverse(X_107)) != X_107
| add(inverse(add(X_106,X_107)),inverse(inverse(X_107))) = add(inverse(add(X_106,X_107)),X_107) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(add(X_106,X_107)),inverse(inverse(X_107))),add(inverse(add(X_106,X_107)),inverse(inverse(X_107)))) ),[1,1],$fot(X_107)]]) ).
cnf(refute_0_646,plain,
( inverse(inverse(X_107)) != X_107
| add(inverse(add(X_106,X_107)),inverse(inverse(X_107))) = add(inverse(add(X_106,X_107)),X_107) ),
inference(resolve,[$cnf( $equal(add(inverse(add(X_106,X_107)),inverse(inverse(X_107))),add(inverse(add(X_106,X_107)),inverse(inverse(X_107)))) )],[refute_0_644,refute_0_645]) ).
cnf(refute_0_647,plain,
add(inverse(add(X_106,X_107)),inverse(inverse(X_107))) = add(inverse(add(X_106,X_107)),X_107),
inference(resolve,[$cnf( $equal(inverse(inverse(X_107)),X_107) )],[refute_0_368,refute_0_646]) ).
cnf(refute_0_648,plain,
inverse(add(inverse(add(X_106,X_107)),inverse(inverse(X_107)))) = inverse(add(inverse(add(X_106,X_107)),inverse(inverse(X_107)))),
introduced(tautology,[refl,[$fot(inverse(add(inverse(add(X_106,X_107)),inverse(inverse(X_107)))))]]) ).
cnf(refute_0_649,plain,
( add(inverse(add(X_106,X_107)),inverse(inverse(X_107))) != add(inverse(add(X_106,X_107)),X_107)
| inverse(add(inverse(add(X_106,X_107)),inverse(inverse(X_107)))) != inverse(add(inverse(add(X_106,X_107)),inverse(inverse(X_107))))
| inverse(add(inverse(add(X_106,X_107)),inverse(inverse(X_107)))) = inverse(add(inverse(add(X_106,X_107)),X_107)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(add(X_106,X_107)),inverse(inverse(X_107)))),inverse(add(inverse(add(X_106,X_107)),inverse(inverse(X_107))))) ),[1,0],$fot(add(inverse(add(X_106,X_107)),X_107))]]) ).
cnf(refute_0_650,plain,
( add(inverse(add(X_106,X_107)),inverse(inverse(X_107))) != add(inverse(add(X_106,X_107)),X_107)
| inverse(add(inverse(add(X_106,X_107)),inverse(inverse(X_107)))) = inverse(add(inverse(add(X_106,X_107)),X_107)) ),
inference(resolve,[$cnf( $equal(inverse(add(inverse(add(X_106,X_107)),inverse(inverse(X_107)))),inverse(add(inverse(add(X_106,X_107)),inverse(inverse(X_107))))) )],[refute_0_648,refute_0_649]) ).
cnf(refute_0_651,plain,
inverse(add(inverse(add(X_106,X_107)),inverse(inverse(X_107)))) = inverse(add(inverse(add(X_106,X_107)),X_107)),
inference(resolve,[$cnf( $equal(add(inverse(add(X_106,X_107)),inverse(inverse(X_107))),add(inverse(add(X_106,X_107)),X_107)) )],[refute_0_647,refute_0_650]) ).
cnf(refute_0_652,plain,
add(inverse(add(inverse(add(X_106,X_107)),inverse(inverse(X_107)))),add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107)))) = add(inverse(add(inverse(add(X_106,X_107)),inverse(inverse(X_107)))),add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107)))),
introduced(tautology,[refl,[$fot(add(inverse(add(inverse(add(X_106,X_107)),inverse(inverse(X_107)))),add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107)))))]]) ).
cnf(refute_0_653,plain,
( add(inverse(add(inverse(add(X_106,X_107)),inverse(inverse(X_107)))),add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107)))) != add(inverse(add(inverse(add(X_106,X_107)),inverse(inverse(X_107)))),add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))))
| inverse(add(inverse(add(X_106,X_107)),inverse(inverse(X_107)))) != inverse(add(inverse(add(X_106,X_107)),X_107))
| add(inverse(add(inverse(add(X_106,X_107)),inverse(inverse(X_107)))),add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107)))) = add(inverse(add(inverse(add(X_106,X_107)),X_107)),add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107)))) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(add(inverse(add(X_106,X_107)),inverse(inverse(X_107)))),add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107)))),add(inverse(add(inverse(add(X_106,X_107)),inverse(inverse(X_107)))),add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))))) ),[1,0],$fot(inverse(add(inverse(add(X_106,X_107)),X_107)))]]) ).
cnf(refute_0_654,plain,
( inverse(add(inverse(add(X_106,X_107)),inverse(inverse(X_107)))) != inverse(add(inverse(add(X_106,X_107)),X_107))
| add(inverse(add(inverse(add(X_106,X_107)),inverse(inverse(X_107)))),add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107)))) = add(inverse(add(inverse(add(X_106,X_107)),X_107)),add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107)))) ),
inference(resolve,[$cnf( $equal(add(inverse(add(inverse(add(X_106,X_107)),inverse(inverse(X_107)))),add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107)))),add(inverse(add(inverse(add(X_106,X_107)),inverse(inverse(X_107)))),add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))))) )],[refute_0_652,refute_0_653]) ).
cnf(refute_0_655,plain,
add(inverse(add(inverse(add(X_106,X_107)),inverse(inverse(X_107)))),add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107)))) = add(inverse(add(inverse(add(X_106,X_107)),X_107)),add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107)))),
inference(resolve,[$cnf( $equal(inverse(add(inverse(add(X_106,X_107)),inverse(inverse(X_107)))),inverse(add(inverse(add(X_106,X_107)),X_107))) )],[refute_0_651,refute_0_654]) ).
cnf(refute_0_656,plain,
( add(inverse(add(inverse(add(X_106,X_107)),X_107)),add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107)))) != add(inverse(add(inverse(add(X_106,X_107)),X_107)),inverse(X_107))
| add(inverse(add(inverse(add(X_106,X_107)),inverse(inverse(X_107)))),add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107)))) != add(inverse(add(inverse(add(X_106,X_107)),X_107)),add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))))
| add(inverse(add(inverse(add(X_106,X_107)),inverse(inverse(X_107)))),add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107)))) = add(inverse(add(inverse(add(X_106,X_107)),X_107)),inverse(X_107)) ),
inference(subst,[],[refute_0_104:[bind(X,$fot(add(inverse(add(inverse(add(X_106,X_107)),inverse(inverse(X_107)))),add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107)))))),bind(Y,$fot(add(inverse(add(inverse(add(X_106,X_107)),X_107)),add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107)))))),bind(Z,$fot(add(inverse(add(inverse(add(X_106,X_107)),X_107)),inverse(X_107))))]]) ).
cnf(refute_0_657,plain,
( add(inverse(add(inverse(add(X_106,X_107)),X_107)),add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107)))) != add(inverse(add(inverse(add(X_106,X_107)),X_107)),inverse(X_107))
| add(inverse(add(inverse(add(X_106,X_107)),inverse(inverse(X_107)))),add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107)))) = add(inverse(add(inverse(add(X_106,X_107)),X_107)),inverse(X_107)) ),
inference(resolve,[$cnf( $equal(add(inverse(add(inverse(add(X_106,X_107)),inverse(inverse(X_107)))),add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107)))),add(inverse(add(inverse(add(X_106,X_107)),X_107)),add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))))) )],[refute_0_655,refute_0_656]) ).
cnf(refute_0_658,plain,
add(inverse(add(inverse(add(X_106,X_107)),inverse(inverse(X_107)))),add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107)))) = add(inverse(add(inverse(add(X_106,X_107)),X_107)),inverse(X_107)),
inference(resolve,[$cnf( $equal(add(inverse(add(inverse(add(X_106,X_107)),X_107)),add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107)))),add(inverse(add(inverse(add(X_106,X_107)),X_107)),inverse(X_107))) )],[refute_0_643,refute_0_657]) ).
cnf(refute_0_659,plain,
( add(inverse(add(inverse(add(X_106,X_107)),inverse(inverse(X_107)))),add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107)))) != add(inverse(add(inverse(add(X_106,X_107)),X_107)),inverse(X_107))
| inverse(X_107) != add(inverse(add(inverse(add(X_106,X_107)),inverse(inverse(X_107)))),add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))))
| inverse(X_107) = add(inverse(add(inverse(add(X_106,X_107)),X_107)),inverse(X_107)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(X_107),add(inverse(add(inverse(add(X_106,X_107)),inverse(inverse(X_107)))),add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))))) ),[1],$fot(add(inverse(add(inverse(add(X_106,X_107)),X_107)),inverse(X_107)))]]) ).
cnf(refute_0_660,plain,
( inverse(X_107) != add(inverse(add(inverse(add(X_106,X_107)),inverse(inverse(X_107)))),add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))))
| inverse(X_107) = add(inverse(add(inverse(add(X_106,X_107)),X_107)),inverse(X_107)) ),
inference(resolve,[$cnf( $equal(add(inverse(add(inverse(add(X_106,X_107)),inverse(inverse(X_107)))),add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107)))),add(inverse(add(inverse(add(X_106,X_107)),X_107)),inverse(X_107))) )],[refute_0_658,refute_0_659]) ).
cnf(refute_0_661,plain,
( add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))) != add(inverse(add(inverse(add(X_106,X_107)),inverse(inverse(X_107)))),add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))))
| inverse(X_107) = add(inverse(add(inverse(add(X_106,X_107)),X_107)),inverse(X_107)) ),
inference(resolve,[$cnf( $equal(inverse(X_107),add(inverse(add(inverse(add(X_106,X_107)),inverse(inverse(X_107)))),add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))))) )],[refute_0_639,refute_0_660]) ).
cnf(refute_0_662,plain,
inverse(X_107) = add(inverse(add(inverse(add(X_106,X_107)),X_107)),inverse(X_107)),
inference(resolve,[$cnf( $equal(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))),add(inverse(add(inverse(add(X_106,X_107)),inverse(inverse(X_107)))),add(inverse(add(inverse(add(inverse(X_106),X_106)),X_107)),inverse(add(X_106,X_107))))) )],[refute_0_637,refute_0_661]) ).
cnf(refute_0_663,plain,
( inverse(X_107) != add(inverse(add(inverse(add(X_106,X_107)),X_107)),inverse(X_107))
| add(inverse(add(inverse(add(X_106,X_107)),X_107)),inverse(X_107)) = inverse(X_107) ),
inference(subst,[],[refute_0_102:[bind(X,$fot(inverse(X_107))),bind(Y,$fot(add(inverse(add(inverse(add(X_106,X_107)),X_107)),inverse(X_107))))]]) ).
cnf(refute_0_664,plain,
add(inverse(add(inverse(add(X_106,X_107)),X_107)),inverse(X_107)) = inverse(X_107),
inference(resolve,[$cnf( $equal(inverse(X_107),add(inverse(add(inverse(add(X_106,X_107)),X_107)),inverse(X_107))) )],[refute_0_662,refute_0_663]) ).
cnf(refute_0_665,plain,
add(inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),X_191)),inverse(X_191)) = inverse(X_191),
inference(subst,[],[refute_0_664:[bind(X_106,$fot(inverse(add(X_191,X_192)))),bind(X_107,$fot(X_191))]]) ).
cnf(refute_0_666,plain,
add(inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),X_191)),add(inverse(X_191),inverse(add(inverse(add(X_191,X_192)),X_191)))) = add(inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),X_191)),add(inverse(X_191),inverse(add(inverse(add(X_191,X_192)),X_191)))),
introduced(tautology,[refl,[$fot(add(inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),X_191)),add(inverse(X_191),inverse(add(inverse(add(X_191,X_192)),X_191)))))]]) ).
cnf(refute_0_667,plain,
( add(inverse(X_191),inverse(add(inverse(add(X_191,X_192)),X_191))) != inverse(X_191)
| add(inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),X_191)),add(inverse(X_191),inverse(add(inverse(add(X_191,X_192)),X_191)))) != add(inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),X_191)),add(inverse(X_191),inverse(add(inverse(add(X_191,X_192)),X_191))))
| add(inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),X_191)),add(inverse(X_191),inverse(add(inverse(add(X_191,X_192)),X_191)))) = add(inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),X_191)),inverse(X_191)) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),X_191)),add(inverse(X_191),inverse(add(inverse(add(X_191,X_192)),X_191)))),add(inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),X_191)),add(inverse(X_191),inverse(add(inverse(add(X_191,X_192)),X_191))))) ),[1,1],$fot(inverse(X_191))]]) ).
cnf(refute_0_668,plain,
( add(inverse(X_191),inverse(add(inverse(add(X_191,X_192)),X_191))) != inverse(X_191)
| add(inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),X_191)),add(inverse(X_191),inverse(add(inverse(add(X_191,X_192)),X_191)))) = add(inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),X_191)),inverse(X_191)) ),
inference(resolve,[$cnf( $equal(add(inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),X_191)),add(inverse(X_191),inverse(add(inverse(add(X_191,X_192)),X_191)))),add(inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),X_191)),add(inverse(X_191),inverse(add(inverse(add(X_191,X_192)),X_191))))) )],[refute_0_666,refute_0_667]) ).
cnf(refute_0_669,plain,
add(inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),X_191)),add(inverse(X_191),inverse(add(inverse(add(X_191,X_192)),X_191)))) = add(inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),X_191)),inverse(X_191)),
inference(resolve,[$cnf( $equal(add(inverse(X_191),inverse(add(inverse(add(X_191,X_192)),X_191))),inverse(X_191)) )],[refute_0_608,refute_0_668]) ).
cnf(refute_0_670,plain,
inverse(add(inverse(add(inverse(add(A,B)),inverse(add(inverse(A),inverse(A))))),inverse(add(A,inverse(add(inverse(A),inverse(A))))))) = inverse(add(inverse(A),inverse(A))),
inference(subst,[],[refute_0_27:[bind(C,$fot(inverse(add(inverse(A),inverse(A)))))]]) ).
cnf(refute_0_671,plain,
inverse(add(A,inverse(add(inverse(A),inverse(A))))) = inverse(A),
inference(subst,[],[refute_0_62:[bind(X_42,$fot(A))]]) ).
cnf(refute_0_672,plain,
( inverse(add(A,inverse(add(inverse(A),inverse(A))))) != inverse(A)
| inverse(add(inverse(add(inverse(add(A,B)),inverse(add(inverse(A),inverse(A))))),inverse(add(A,inverse(add(inverse(A),inverse(A))))))) != inverse(add(inverse(A),inverse(A)))
| inverse(add(inverse(add(inverse(add(A,B)),inverse(add(inverse(A),inverse(A))))),inverse(A))) = inverse(add(inverse(A),inverse(A))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(add(inverse(add(A,B)),inverse(add(inverse(A),inverse(A))))),inverse(add(A,inverse(add(inverse(A),inverse(A))))))),inverse(add(inverse(A),inverse(A)))) ),[0,0,1],$fot(inverse(A))]]) ).
cnf(refute_0_673,plain,
( inverse(add(inverse(add(inverse(add(A,B)),inverse(add(inverse(A),inverse(A))))),inverse(add(A,inverse(add(inverse(A),inverse(A))))))) != inverse(add(inverse(A),inverse(A)))
| inverse(add(inverse(add(inverse(add(A,B)),inverse(add(inverse(A),inverse(A))))),inverse(A))) = inverse(add(inverse(A),inverse(A))) ),
inference(resolve,[$cnf( $equal(inverse(add(A,inverse(add(inverse(A),inverse(A))))),inverse(A)) )],[refute_0_671,refute_0_672]) ).
cnf(refute_0_674,plain,
inverse(add(inverse(add(inverse(add(A,B)),inverse(add(inverse(A),inverse(A))))),inverse(A))) = inverse(add(inverse(A),inverse(A))),
inference(resolve,[$cnf( $equal(inverse(add(inverse(add(inverse(add(A,B)),inverse(add(inverse(A),inverse(A))))),inverse(add(A,inverse(add(inverse(A),inverse(A))))))),inverse(add(inverse(A),inverse(A)))) )],[refute_0_670,refute_0_673]) ).
cnf(refute_0_675,plain,
inverse(add(inverse(A),inverse(A))) = A,
inference(subst,[],[refute_0_85:[bind(C,$fot(A))]]) ).
cnf(refute_0_676,plain,
add(inverse(add(A,B)),inverse(add(inverse(A),inverse(A)))) = add(inverse(add(A,B)),inverse(add(inverse(A),inverse(A)))),
introduced(tautology,[refl,[$fot(add(inverse(add(A,B)),inverse(add(inverse(A),inverse(A)))))]]) ).
cnf(refute_0_677,plain,
( add(inverse(add(A,B)),inverse(add(inverse(A),inverse(A)))) != add(inverse(add(A,B)),inverse(add(inverse(A),inverse(A))))
| inverse(add(inverse(A),inverse(A))) != A
| add(inverse(add(A,B)),inverse(add(inverse(A),inverse(A)))) = add(inverse(add(A,B)),A) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(add(A,B)),inverse(add(inverse(A),inverse(A)))),add(inverse(add(A,B)),inverse(add(inverse(A),inverse(A))))) ),[1,1],$fot(A)]]) ).
cnf(refute_0_678,plain,
( inverse(add(inverse(A),inverse(A))) != A
| add(inverse(add(A,B)),inverse(add(inverse(A),inverse(A)))) = add(inverse(add(A,B)),A) ),
inference(resolve,[$cnf( $equal(add(inverse(add(A,B)),inverse(add(inverse(A),inverse(A)))),add(inverse(add(A,B)),inverse(add(inverse(A),inverse(A))))) )],[refute_0_676,refute_0_677]) ).
cnf(refute_0_679,plain,
add(inverse(add(A,B)),inverse(add(inverse(A),inverse(A)))) = add(inverse(add(A,B)),A),
inference(resolve,[$cnf( $equal(inverse(add(inverse(A),inverse(A))),A) )],[refute_0_675,refute_0_678]) ).
cnf(refute_0_680,plain,
inverse(add(inverse(add(A,B)),inverse(add(inverse(A),inverse(A))))) = inverse(add(inverse(add(A,B)),inverse(add(inverse(A),inverse(A))))),
introduced(tautology,[refl,[$fot(inverse(add(inverse(add(A,B)),inverse(add(inverse(A),inverse(A))))))]]) ).
cnf(refute_0_681,plain,
( add(inverse(add(A,B)),inverse(add(inverse(A),inverse(A)))) != add(inverse(add(A,B)),A)
| inverse(add(inverse(add(A,B)),inverse(add(inverse(A),inverse(A))))) != inverse(add(inverse(add(A,B)),inverse(add(inverse(A),inverse(A)))))
| inverse(add(inverse(add(A,B)),inverse(add(inverse(A),inverse(A))))) = inverse(add(inverse(add(A,B)),A)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(add(A,B)),inverse(add(inverse(A),inverse(A))))),inverse(add(inverse(add(A,B)),inverse(add(inverse(A),inverse(A)))))) ),[1,0],$fot(add(inverse(add(A,B)),A))]]) ).
cnf(refute_0_682,plain,
( add(inverse(add(A,B)),inverse(add(inverse(A),inverse(A)))) != add(inverse(add(A,B)),A)
| inverse(add(inverse(add(A,B)),inverse(add(inverse(A),inverse(A))))) = inverse(add(inverse(add(A,B)),A)) ),
inference(resolve,[$cnf( $equal(inverse(add(inverse(add(A,B)),inverse(add(inverse(A),inverse(A))))),inverse(add(inverse(add(A,B)),inverse(add(inverse(A),inverse(A)))))) )],[refute_0_680,refute_0_681]) ).
cnf(refute_0_683,plain,
inverse(add(inverse(add(A,B)),inverse(add(inverse(A),inverse(A))))) = inverse(add(inverse(add(A,B)),A)),
inference(resolve,[$cnf( $equal(add(inverse(add(A,B)),inverse(add(inverse(A),inverse(A)))),add(inverse(add(A,B)),A)) )],[refute_0_679,refute_0_682]) ).
cnf(refute_0_684,plain,
add(inverse(add(inverse(add(A,B)),inverse(add(inverse(A),inverse(A))))),inverse(A)) = add(inverse(add(inverse(add(A,B)),inverse(add(inverse(A),inverse(A))))),inverse(A)),
introduced(tautology,[refl,[$fot(add(inverse(add(inverse(add(A,B)),inverse(add(inverse(A),inverse(A))))),inverse(A)))]]) ).
cnf(refute_0_685,plain,
( add(inverse(add(inverse(add(A,B)),inverse(add(inverse(A),inverse(A))))),inverse(A)) != add(inverse(add(inverse(add(A,B)),inverse(add(inverse(A),inverse(A))))),inverse(A))
| inverse(add(inverse(add(A,B)),inverse(add(inverse(A),inverse(A))))) != inverse(add(inverse(add(A,B)),A))
| add(inverse(add(inverse(add(A,B)),inverse(add(inverse(A),inverse(A))))),inverse(A)) = add(inverse(add(inverse(add(A,B)),A)),inverse(A)) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(add(inverse(add(A,B)),inverse(add(inverse(A),inverse(A))))),inverse(A)),add(inverse(add(inverse(add(A,B)),inverse(add(inverse(A),inverse(A))))),inverse(A))) ),[1,0],$fot(inverse(add(inverse(add(A,B)),A)))]]) ).
cnf(refute_0_686,plain,
( inverse(add(inverse(add(A,B)),inverse(add(inverse(A),inverse(A))))) != inverse(add(inverse(add(A,B)),A))
| add(inverse(add(inverse(add(A,B)),inverse(add(inverse(A),inverse(A))))),inverse(A)) = add(inverse(add(inverse(add(A,B)),A)),inverse(A)) ),
inference(resolve,[$cnf( $equal(add(inverse(add(inverse(add(A,B)),inverse(add(inverse(A),inverse(A))))),inverse(A)),add(inverse(add(inverse(add(A,B)),inverse(add(inverse(A),inverse(A))))),inverse(A))) )],[refute_0_684,refute_0_685]) ).
cnf(refute_0_687,plain,
add(inverse(add(inverse(add(A,B)),inverse(add(inverse(A),inverse(A))))),inverse(A)) = add(inverse(add(inverse(add(A,B)),A)),inverse(A)),
inference(resolve,[$cnf( $equal(inverse(add(inverse(add(A,B)),inverse(add(inverse(A),inverse(A))))),inverse(add(inverse(add(A,B)),A))) )],[refute_0_683,refute_0_686]) ).
cnf(refute_0_688,plain,
inverse(add(inverse(add(inverse(add(A,B)),inverse(add(inverse(A),inverse(A))))),inverse(A))) = inverse(add(inverse(add(inverse(add(A,B)),inverse(add(inverse(A),inverse(A))))),inverse(A))),
introduced(tautology,[refl,[$fot(inverse(add(inverse(add(inverse(add(A,B)),inverse(add(inverse(A),inverse(A))))),inverse(A))))]]) ).
cnf(refute_0_689,plain,
( add(inverse(add(inverse(add(A,B)),inverse(add(inverse(A),inverse(A))))),inverse(A)) != add(inverse(add(inverse(add(A,B)),A)),inverse(A))
| inverse(add(inverse(add(inverse(add(A,B)),inverse(add(inverse(A),inverse(A))))),inverse(A))) != inverse(add(inverse(add(inverse(add(A,B)),inverse(add(inverse(A),inverse(A))))),inverse(A)))
| inverse(add(inverse(add(inverse(add(A,B)),inverse(add(inverse(A),inverse(A))))),inverse(A))) = inverse(add(inverse(add(inverse(add(A,B)),A)),inverse(A))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(add(inverse(add(A,B)),inverse(add(inverse(A),inverse(A))))),inverse(A))),inverse(add(inverse(add(inverse(add(A,B)),inverse(add(inverse(A),inverse(A))))),inverse(A)))) ),[1,0],$fot(add(inverse(add(inverse(add(A,B)),A)),inverse(A)))]]) ).
cnf(refute_0_690,plain,
( add(inverse(add(inverse(add(A,B)),inverse(add(inverse(A),inverse(A))))),inverse(A)) != add(inverse(add(inverse(add(A,B)),A)),inverse(A))
| inverse(add(inverse(add(inverse(add(A,B)),inverse(add(inverse(A),inverse(A))))),inverse(A))) = inverse(add(inverse(add(inverse(add(A,B)),A)),inverse(A))) ),
inference(resolve,[$cnf( $equal(inverse(add(inverse(add(inverse(add(A,B)),inverse(add(inverse(A),inverse(A))))),inverse(A))),inverse(add(inverse(add(inverse(add(A,B)),inverse(add(inverse(A),inverse(A))))),inverse(A)))) )],[refute_0_688,refute_0_689]) ).
cnf(refute_0_691,plain,
inverse(add(inverse(add(inverse(add(A,B)),inverse(add(inverse(A),inverse(A))))),inverse(A))) = inverse(add(inverse(add(inverse(add(A,B)),A)),inverse(A))),
inference(resolve,[$cnf( $equal(add(inverse(add(inverse(add(A,B)),inverse(add(inverse(A),inverse(A))))),inverse(A)),add(inverse(add(inverse(add(A,B)),A)),inverse(A))) )],[refute_0_687,refute_0_690]) ).
cnf(refute_0_692,plain,
( inverse(add(inverse(add(inverse(add(A,B)),inverse(add(inverse(A),inverse(A))))),inverse(A))) != inverse(add(inverse(A),inverse(A)))
| inverse(add(inverse(add(inverse(add(A,B)),inverse(add(inverse(A),inverse(A))))),inverse(A))) != inverse(add(inverse(add(inverse(add(A,B)),A)),inverse(A)))
| inverse(add(inverse(add(inverse(add(A,B)),A)),inverse(A))) = inverse(add(inverse(A),inverse(A))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(add(inverse(add(A,B)),inverse(add(inverse(A),inverse(A))))),inverse(A))),inverse(add(inverse(A),inverse(A)))) ),[0],$fot(inverse(add(inverse(add(inverse(add(A,B)),A)),inverse(A))))]]) ).
cnf(refute_0_693,plain,
( inverse(add(inverse(add(inverse(add(A,B)),inverse(add(inverse(A),inverse(A))))),inverse(A))) != inverse(add(inverse(A),inverse(A)))
| inverse(add(inverse(add(inverse(add(A,B)),A)),inverse(A))) = inverse(add(inverse(A),inverse(A))) ),
inference(resolve,[$cnf( $equal(inverse(add(inverse(add(inverse(add(A,B)),inverse(add(inverse(A),inverse(A))))),inverse(A))),inverse(add(inverse(add(inverse(add(A,B)),A)),inverse(A)))) )],[refute_0_691,refute_0_692]) ).
cnf(refute_0_694,plain,
( inverse(add(inverse(A),inverse(A))) != A
| inverse(add(inverse(add(inverse(add(A,B)),A)),inverse(A))) != inverse(add(inverse(A),inverse(A)))
| inverse(add(inverse(add(inverse(add(A,B)),A)),inverse(A))) = A ),
introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(add(inverse(add(A,B)),A)),inverse(A))),inverse(add(inverse(A),inverse(A)))) ),[1],$fot(A)]]) ).
cnf(refute_0_695,plain,
( inverse(add(inverse(add(inverse(add(A,B)),A)),inverse(A))) != inverse(add(inverse(A),inverse(A)))
| inverse(add(inverse(add(inverse(add(A,B)),A)),inverse(A))) = A ),
inference(resolve,[$cnf( $equal(inverse(add(inverse(A),inverse(A))),A) )],[refute_0_675,refute_0_694]) ).
cnf(refute_0_696,plain,
( inverse(add(inverse(add(inverse(add(A,B)),inverse(add(inverse(A),inverse(A))))),inverse(A))) != inverse(add(inverse(A),inverse(A)))
| inverse(add(inverse(add(inverse(add(A,B)),A)),inverse(A))) = A ),
inference(resolve,[$cnf( $equal(inverse(add(inverse(add(inverse(add(A,B)),A)),inverse(A))),inverse(add(inverse(A),inverse(A)))) )],[refute_0_693,refute_0_695]) ).
cnf(refute_0_697,plain,
inverse(add(inverse(add(inverse(add(A,B)),A)),inverse(A))) = A,
inference(resolve,[$cnf( $equal(inverse(add(inverse(add(inverse(add(A,B)),inverse(add(inverse(A),inverse(A))))),inverse(A))),inverse(add(inverse(A),inverse(A)))) )],[refute_0_674,refute_0_696]) ).
cnf(refute_0_698,plain,
inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(X_191))) = X_191,
inference(subst,[],[refute_0_697:[bind(A,$fot(X_191)),bind(B,$fot(X_192))]]) ).
cnf(refute_0_699,plain,
add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(X_191)))) = add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(X_191)))),
introduced(tautology,[refl,[$fot(add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(X_191)))))]]) ).
cnf(refute_0_700,plain,
( add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(X_191)))) != add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(X_191))))
| inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(X_191))) != X_191
| add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(X_191)))) = add(inverse(add(inverse(add(X_191,X_192)),X_191)),X_191) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(X_191)))),add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(X_191))))) ),[1,1],$fot(X_191)]]) ).
cnf(refute_0_701,plain,
( inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(X_191))) != X_191
| add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(X_191)))) = add(inverse(add(inverse(add(X_191,X_192)),X_191)),X_191) ),
inference(resolve,[$cnf( $equal(add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(X_191)))),add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(X_191))))) )],[refute_0_699,refute_0_700]) ).
cnf(refute_0_702,plain,
add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(X_191)))) = add(inverse(add(inverse(add(X_191,X_192)),X_191)),X_191),
inference(resolve,[$cnf( $equal(inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(X_191))),X_191) )],[refute_0_698,refute_0_701]) ).
cnf(refute_0_703,plain,
inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(X_191))))) = inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(X_191))))),
introduced(tautology,[refl,[$fot(inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(X_191))))))]]) ).
cnf(refute_0_704,plain,
( add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(X_191)))) != add(inverse(add(inverse(add(X_191,X_192)),X_191)),X_191)
| inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(X_191))))) != inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(X_191)))))
| inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(X_191))))) = inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),X_191)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(X_191))))),inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(X_191)))))) ),[1,0],$fot(add(inverse(add(inverse(add(X_191,X_192)),X_191)),X_191))]]) ).
cnf(refute_0_705,plain,
( add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(X_191)))) != add(inverse(add(inverse(add(X_191,X_192)),X_191)),X_191)
| inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(X_191))))) = inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),X_191)) ),
inference(resolve,[$cnf( $equal(inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(X_191))))),inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(X_191)))))) )],[refute_0_703,refute_0_704]) ).
cnf(refute_0_706,plain,
inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(X_191))))) = inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),X_191)),
inference(resolve,[$cnf( $equal(add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(X_191)))),add(inverse(add(inverse(add(X_191,X_192)),X_191)),X_191)) )],[refute_0_702,refute_0_705]) ).
cnf(refute_0_707,plain,
add(inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(X_191))))),add(inverse(X_191),inverse(add(inverse(add(X_191,X_192)),X_191)))) = add(inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(X_191))))),add(inverse(X_191),inverse(add(inverse(add(X_191,X_192)),X_191)))),
introduced(tautology,[refl,[$fot(add(inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(X_191))))),add(inverse(X_191),inverse(add(inverse(add(X_191,X_192)),X_191)))))]]) ).
cnf(refute_0_708,plain,
( add(inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(X_191))))),add(inverse(X_191),inverse(add(inverse(add(X_191,X_192)),X_191)))) != add(inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(X_191))))),add(inverse(X_191),inverse(add(inverse(add(X_191,X_192)),X_191))))
| inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(X_191))))) != inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),X_191))
| add(inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(X_191))))),add(inverse(X_191),inverse(add(inverse(add(X_191,X_192)),X_191)))) = add(inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),X_191)),add(inverse(X_191),inverse(add(inverse(add(X_191,X_192)),X_191)))) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(X_191))))),add(inverse(X_191),inverse(add(inverse(add(X_191,X_192)),X_191)))),add(inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(X_191))))),add(inverse(X_191),inverse(add(inverse(add(X_191,X_192)),X_191))))) ),[1,0],$fot(inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),X_191)))]]) ).
cnf(refute_0_709,plain,
( inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(X_191))))) != inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),X_191))
| add(inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(X_191))))),add(inverse(X_191),inverse(add(inverse(add(X_191,X_192)),X_191)))) = add(inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),X_191)),add(inverse(X_191),inverse(add(inverse(add(X_191,X_192)),X_191)))) ),
inference(resolve,[$cnf( $equal(add(inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(X_191))))),add(inverse(X_191),inverse(add(inverse(add(X_191,X_192)),X_191)))),add(inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(X_191))))),add(inverse(X_191),inverse(add(inverse(add(X_191,X_192)),X_191))))) )],[refute_0_707,refute_0_708]) ).
cnf(refute_0_710,plain,
add(inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(X_191))))),add(inverse(X_191),inverse(add(inverse(add(X_191,X_192)),X_191)))) = add(inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),X_191)),add(inverse(X_191),inverse(add(inverse(add(X_191,X_192)),X_191)))),
inference(resolve,[$cnf( $equal(inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(X_191))))),inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),X_191))) )],[refute_0_706,refute_0_709]) ).
cnf(refute_0_711,plain,
( add(inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),X_191)),add(inverse(X_191),inverse(add(inverse(add(X_191,X_192)),X_191)))) != add(inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),X_191)),inverse(X_191))
| add(inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(X_191))))),add(inverse(X_191),inverse(add(inverse(add(X_191,X_192)),X_191)))) != add(inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),X_191)),add(inverse(X_191),inverse(add(inverse(add(X_191,X_192)),X_191))))
| add(inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(X_191))))),add(inverse(X_191),inverse(add(inverse(add(X_191,X_192)),X_191)))) = add(inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),X_191)),inverse(X_191)) ),
inference(subst,[],[refute_0_104:[bind(X,$fot(add(inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(X_191))))),add(inverse(X_191),inverse(add(inverse(add(X_191,X_192)),X_191)))))),bind(Y,$fot(add(inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),X_191)),add(inverse(X_191),inverse(add(inverse(add(X_191,X_192)),X_191)))))),bind(Z,$fot(add(inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),X_191)),inverse(X_191))))]]) ).
cnf(refute_0_712,plain,
( add(inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),X_191)),add(inverse(X_191),inverse(add(inverse(add(X_191,X_192)),X_191)))) != add(inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),X_191)),inverse(X_191))
| add(inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(X_191))))),add(inverse(X_191),inverse(add(inverse(add(X_191,X_192)),X_191)))) = add(inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),X_191)),inverse(X_191)) ),
inference(resolve,[$cnf( $equal(add(inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(X_191))))),add(inverse(X_191),inverse(add(inverse(add(X_191,X_192)),X_191)))),add(inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),X_191)),add(inverse(X_191),inverse(add(inverse(add(X_191,X_192)),X_191))))) )],[refute_0_710,refute_0_711]) ).
cnf(refute_0_713,plain,
add(inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(X_191))))),add(inverse(X_191),inverse(add(inverse(add(X_191,X_192)),X_191)))) = add(inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),X_191)),inverse(X_191)),
inference(resolve,[$cnf( $equal(add(inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),X_191)),add(inverse(X_191),inverse(add(inverse(add(X_191,X_192)),X_191)))),add(inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),X_191)),inverse(X_191))) )],[refute_0_669,refute_0_712]) ).
cnf(refute_0_714,plain,
( add(inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),X_191)),inverse(X_191)) != inverse(X_191)
| add(inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(X_191))))),add(inverse(X_191),inverse(add(inverse(add(X_191,X_192)),X_191)))) != add(inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),X_191)),inverse(X_191))
| add(inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(X_191))))),add(inverse(X_191),inverse(add(inverse(add(X_191,X_192)),X_191)))) = inverse(X_191) ),
inference(subst,[],[refute_0_104:[bind(X,$fot(add(inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(X_191))))),add(inverse(X_191),inverse(add(inverse(add(X_191,X_192)),X_191)))))),bind(Y,$fot(add(inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),X_191)),inverse(X_191)))),bind(Z,$fot(inverse(X_191)))]]) ).
cnf(refute_0_715,plain,
( add(inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),X_191)),inverse(X_191)) != inverse(X_191)
| add(inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(X_191))))),add(inverse(X_191),inverse(add(inverse(add(X_191,X_192)),X_191)))) = inverse(X_191) ),
inference(resolve,[$cnf( $equal(add(inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(X_191))))),add(inverse(X_191),inverse(add(inverse(add(X_191,X_192)),X_191)))),add(inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),X_191)),inverse(X_191))) )],[refute_0_713,refute_0_714]) ).
cnf(refute_0_716,plain,
add(inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(X_191))))),add(inverse(X_191),inverse(add(inverse(add(X_191,X_192)),X_191)))) = inverse(X_191),
inference(resolve,[$cnf( $equal(add(inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),X_191)),inverse(X_191)),inverse(X_191)) )],[refute_0_665,refute_0_715]) ).
cnf(refute_0_717,plain,
( add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(X_191)) != add(inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(X_191))))),add(inverse(X_191),inverse(add(inverse(add(X_191,X_192)),X_191))))
| add(inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(X_191))))),add(inverse(X_191),inverse(add(inverse(add(X_191,X_192)),X_191)))) != inverse(X_191)
| add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(X_191)) = inverse(X_191) ),
introduced(tautology,[equality,[$cnf( ~ $equal(add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(X_191)),inverse(X_191)) ),[0],$fot(add(inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(X_191))))),add(inverse(X_191),inverse(add(inverse(add(X_191,X_192)),X_191)))))]]) ).
cnf(refute_0_718,plain,
( add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(X_191)) != add(inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(X_191))))),add(inverse(X_191),inverse(add(inverse(add(X_191,X_192)),X_191))))
| add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(X_191)) = inverse(X_191) ),
inference(resolve,[$cnf( $equal(add(inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(X_191))))),add(inverse(X_191),inverse(add(inverse(add(X_191,X_192)),X_191)))),inverse(X_191)) )],[refute_0_716,refute_0_717]) ).
cnf(refute_0_719,plain,
( add(inverse(add(inverse(add(X_191,X_192)),X_191)),add(inverse(X_191),inverse(add(inverse(add(X_191,X_192)),X_191)))) != add(inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(X_191))))),add(inverse(X_191),inverse(add(inverse(add(X_191,X_192)),X_191))))
| add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(X_191)) = inverse(X_191) ),
inference(resolve,[$cnf( $equal(add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(X_191)),add(inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(X_191))))),add(inverse(X_191),inverse(add(inverse(add(X_191,X_192)),X_191))))) )],[refute_0_617,refute_0_718]) ).
cnf(refute_0_720,plain,
add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(X_191)) = inverse(X_191),
inference(resolve,[$cnf( $equal(add(inverse(add(inverse(add(X_191,X_192)),X_191)),add(inverse(X_191),inverse(add(inverse(add(X_191,X_192)),X_191)))),add(inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(add(inverse(add(inverse(add(X_191,X_192)),X_191)),inverse(X_191))))),add(inverse(X_191),inverse(add(inverse(add(X_191,X_192)),X_191))))) )],[refute_0_611,refute_0_719]) ).
cnf(refute_0_721,plain,
add(inverse(add(inverse(add(add(X_106,inverse(add(inverse(X_106),X_151))),inverse(X_106))),add(X_106,inverse(add(inverse(X_106),X_151))))),inverse(add(X_106,inverse(add(inverse(X_106),X_151))))) = inverse(add(X_106,inverse(add(inverse(X_106),X_151)))),
inference(subst,[],[refute_0_720:[bind(X_191,$fot(add(X_106,inverse(add(inverse(X_106),X_151))))),bind(X_192,$fot(inverse(X_106)))]]) ).
cnf(refute_0_722,plain,
inverse(inverse(add(X_106,X_79))) = add(inverse(add(X_79,inverse(add(X_106,X_79)))),inverse(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_79)),inverse(add(X_106,X_79))))),
inference(subst,[],[refute_0_182:[bind(X_78,$fot(inverse(add(X_106,X_79)))),bind(X_80,$fot(inverse(add(inverse(X_106),X_106))))]]) ).
cnf(refute_0_723,plain,
inverse(X_79) = add(inverse(add(inverse(add(inverse(X_106),X_106)),X_79)),inverse(add(X_106,X_79))),
inference(subst,[],[refute_0_349:[bind(C,$fot(X_106)),bind(X_97,$fot(X_79))]]) ).
cnf(refute_0_724,plain,
( inverse(X_79) != add(inverse(add(inverse(add(inverse(X_106),X_106)),X_79)),inverse(add(X_106,X_79)))
| add(inverse(add(inverse(add(inverse(X_106),X_106)),X_79)),inverse(add(X_106,X_79))) = inverse(X_79) ),
inference(subst,[],[refute_0_102:[bind(X,$fot(inverse(X_79))),bind(Y,$fot(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_79)),inverse(add(X_106,X_79)))))]]) ).
cnf(refute_0_725,plain,
add(inverse(add(inverse(add(inverse(X_106),X_106)),X_79)),inverse(add(X_106,X_79))) = inverse(X_79),
inference(resolve,[$cnf( $equal(inverse(X_79),add(inverse(add(inverse(add(inverse(X_106),X_106)),X_79)),inverse(add(X_106,X_79)))) )],[refute_0_723,refute_0_724]) ).
cnf(refute_0_726,plain,
( add(inverse(add(inverse(add(inverse(X_106),X_106)),X_79)),inverse(add(X_106,X_79))) != inverse(X_79)
| inverse(inverse(add(X_106,X_79))) != add(inverse(add(X_79,inverse(add(X_106,X_79)))),inverse(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_79)),inverse(add(X_106,X_79)))))
| inverse(inverse(add(X_106,X_79))) = add(inverse(add(X_79,inverse(add(X_106,X_79)))),inverse(inverse(X_79))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(add(X_106,X_79))),add(inverse(add(X_79,inverse(add(X_106,X_79)))),inverse(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_79)),inverse(add(X_106,X_79)))))) ),[1,1,0],$fot(inverse(X_79))]]) ).
cnf(refute_0_727,plain,
( inverse(inverse(add(X_106,X_79))) != add(inverse(add(X_79,inverse(add(X_106,X_79)))),inverse(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_79)),inverse(add(X_106,X_79)))))
| inverse(inverse(add(X_106,X_79))) = add(inverse(add(X_79,inverse(add(X_106,X_79)))),inverse(inverse(X_79))) ),
inference(resolve,[$cnf( $equal(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_79)),inverse(add(X_106,X_79))),inverse(X_79)) )],[refute_0_725,refute_0_726]) ).
cnf(refute_0_728,plain,
inverse(inverse(add(X_106,X_79))) = add(inverse(add(X_79,inverse(add(X_106,X_79)))),inverse(inverse(X_79))),
inference(resolve,[$cnf( $equal(inverse(inverse(add(X_106,X_79))),add(inverse(add(X_79,inverse(add(X_106,X_79)))),inverse(add(inverse(add(inverse(add(inverse(X_106),X_106)),X_79)),inverse(add(X_106,X_79)))))) )],[refute_0_722,refute_0_727]) ).
cnf(refute_0_729,plain,
inverse(inverse(add(X_106,X_79))) = add(X_106,X_79),
inference(subst,[],[refute_0_130:[bind(C,$fot(add(X_106,X_79)))]]) ).
cnf(refute_0_730,plain,
( inverse(inverse(add(X_106,X_79))) != add(X_106,X_79)
| inverse(inverse(add(X_106,X_79))) != add(inverse(add(X_79,inverse(add(X_106,X_79)))),inverse(inverse(X_79)))
| add(X_106,X_79) = add(inverse(add(X_79,inverse(add(X_106,X_79)))),inverse(inverse(X_79))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(add(X_106,X_79))),add(inverse(add(X_79,inverse(add(X_106,X_79)))),inverse(inverse(X_79)))) ),[0],$fot(add(X_106,X_79))]]) ).
cnf(refute_0_731,plain,
( inverse(inverse(add(X_106,X_79))) != add(inverse(add(X_79,inverse(add(X_106,X_79)))),inverse(inverse(X_79)))
| add(X_106,X_79) = add(inverse(add(X_79,inverse(add(X_106,X_79)))),inverse(inverse(X_79))) ),
inference(resolve,[$cnf( $equal(inverse(inverse(add(X_106,X_79))),add(X_106,X_79)) )],[refute_0_729,refute_0_730]) ).
cnf(refute_0_732,plain,
inverse(inverse(X_79)) = X_79,
inference(subst,[],[refute_0_130:[bind(C,$fot(X_79))]]) ).
cnf(refute_0_733,plain,
add(inverse(add(X_79,inverse(add(X_106,X_79)))),inverse(inverse(X_79))) = add(inverse(add(X_79,inverse(add(X_106,X_79)))),inverse(inverse(X_79))),
introduced(tautology,[refl,[$fot(add(inverse(add(X_79,inverse(add(X_106,X_79)))),inverse(inverse(X_79))))]]) ).
cnf(refute_0_734,plain,
( add(inverse(add(X_79,inverse(add(X_106,X_79)))),inverse(inverse(X_79))) != add(inverse(add(X_79,inverse(add(X_106,X_79)))),inverse(inverse(X_79)))
| inverse(inverse(X_79)) != X_79
| add(inverse(add(X_79,inverse(add(X_106,X_79)))),inverse(inverse(X_79))) = add(inverse(add(X_79,inverse(add(X_106,X_79)))),X_79) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(add(X_79,inverse(add(X_106,X_79)))),inverse(inverse(X_79))),add(inverse(add(X_79,inverse(add(X_106,X_79)))),inverse(inverse(X_79)))) ),[1,1],$fot(X_79)]]) ).
cnf(refute_0_735,plain,
( inverse(inverse(X_79)) != X_79
| add(inverse(add(X_79,inverse(add(X_106,X_79)))),inverse(inverse(X_79))) = add(inverse(add(X_79,inverse(add(X_106,X_79)))),X_79) ),
inference(resolve,[$cnf( $equal(add(inverse(add(X_79,inverse(add(X_106,X_79)))),inverse(inverse(X_79))),add(inverse(add(X_79,inverse(add(X_106,X_79)))),inverse(inverse(X_79)))) )],[refute_0_733,refute_0_734]) ).
cnf(refute_0_736,plain,
add(inverse(add(X_79,inverse(add(X_106,X_79)))),inverse(inverse(X_79))) = add(inverse(add(X_79,inverse(add(X_106,X_79)))),X_79),
inference(resolve,[$cnf( $equal(inverse(inverse(X_79)),X_79) )],[refute_0_732,refute_0_735]) ).
cnf(refute_0_737,plain,
( add(X_106,X_79) != add(inverse(add(X_79,inverse(add(X_106,X_79)))),inverse(inverse(X_79)))
| add(inverse(add(X_79,inverse(add(X_106,X_79)))),inverse(inverse(X_79))) != add(inverse(add(X_79,inverse(add(X_106,X_79)))),X_79)
| add(X_106,X_79) = add(inverse(add(X_79,inverse(add(X_106,X_79)))),X_79) ),
introduced(tautology,[equality,[$cnf( ~ $equal(add(X_106,X_79),add(inverse(add(X_79,inverse(add(X_106,X_79)))),X_79)) ),[0],$fot(add(inverse(add(X_79,inverse(add(X_106,X_79)))),inverse(inverse(X_79))))]]) ).
cnf(refute_0_738,plain,
( add(X_106,X_79) != add(inverse(add(X_79,inverse(add(X_106,X_79)))),inverse(inverse(X_79)))
| add(X_106,X_79) = add(inverse(add(X_79,inverse(add(X_106,X_79)))),X_79) ),
inference(resolve,[$cnf( $equal(add(inverse(add(X_79,inverse(add(X_106,X_79)))),inverse(inverse(X_79))),add(inverse(add(X_79,inverse(add(X_106,X_79)))),X_79)) )],[refute_0_736,refute_0_737]) ).
cnf(refute_0_739,plain,
( inverse(inverse(add(X_106,X_79))) != add(inverse(add(X_79,inverse(add(X_106,X_79)))),inverse(inverse(X_79)))
| add(X_106,X_79) = add(inverse(add(X_79,inverse(add(X_106,X_79)))),X_79) ),
inference(resolve,[$cnf( $equal(add(X_106,X_79),add(inverse(add(X_79,inverse(add(X_106,X_79)))),inverse(inverse(X_79)))) )],[refute_0_731,refute_0_738]) ).
cnf(refute_0_740,plain,
add(X_106,X_79) = add(inverse(add(X_79,inverse(add(X_106,X_79)))),X_79),
inference(resolve,[$cnf( $equal(inverse(inverse(add(X_106,X_79))),add(inverse(add(X_79,inverse(add(X_106,X_79)))),inverse(inverse(X_79)))) )],[refute_0_728,refute_0_739]) ).
cnf(refute_0_741,plain,
add(X_106,add(X_106,inverse(add(inverse(X_106),X_151)))) = add(inverse(add(add(X_106,inverse(add(inverse(X_106),X_151))),inverse(add(X_106,add(X_106,inverse(add(inverse(X_106),X_151))))))),add(X_106,inverse(add(inverse(X_106),X_151)))),
inference(subst,[],[refute_0_740:[bind(X_79,$fot(add(X_106,inverse(add(inverse(X_106),X_151)))))]]) ).
cnf(refute_0_742,plain,
inverse(inverse(add(X_139,inverse(add(inverse(add(X_139,X_138)),inverse(add(X_139,inverse(add(inverse(X_139),X_137))))))))) = add(X_139,inverse(add(inverse(add(X_139,X_138)),inverse(add(X_139,inverse(add(inverse(X_139),X_137))))))),
inference(subst,[],[refute_0_130:[bind(C,$fot(add(X_139,inverse(add(inverse(add(X_139,X_138)),inverse(add(X_139,inverse(add(inverse(X_139),X_137)))))))))]]) ).
cnf(refute_0_743,plain,
inverse(add(X_139,inverse(add(inverse(add(X_139,X_138)),inverse(add(X_139,inverse(add(inverse(X_139),X_137)))))))) = inverse(X_139),
inference(subst,[],[refute_0_457:[bind(X_133,$fot(X_137)),bind(X_135,$fot(X_138)),bind(X_136,$fot(X_139))]]) ).
cnf(refute_0_744,plain,
( inverse(add(X_139,inverse(add(inverse(add(X_139,X_138)),inverse(add(X_139,inverse(add(inverse(X_139),X_137)))))))) != inverse(X_139)
| inverse(inverse(add(X_139,inverse(add(inverse(add(X_139,X_138)),inverse(add(X_139,inverse(add(inverse(X_139),X_137))))))))) != add(X_139,inverse(add(inverse(add(X_139,X_138)),inverse(add(X_139,inverse(add(inverse(X_139),X_137)))))))
| inverse(inverse(X_139)) = add(X_139,inverse(add(inverse(add(X_139,X_138)),inverse(add(X_139,inverse(add(inverse(X_139),X_137))))))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(add(X_139,inverse(add(inverse(add(X_139,X_138)),inverse(add(X_139,inverse(add(inverse(X_139),X_137))))))))),add(X_139,inverse(add(inverse(add(X_139,X_138)),inverse(add(X_139,inverse(add(inverse(X_139),X_137)))))))) ),[0,0],$fot(inverse(X_139))]]) ).
cnf(refute_0_745,plain,
( inverse(inverse(add(X_139,inverse(add(inverse(add(X_139,X_138)),inverse(add(X_139,inverse(add(inverse(X_139),X_137))))))))) != add(X_139,inverse(add(inverse(add(X_139,X_138)),inverse(add(X_139,inverse(add(inverse(X_139),X_137)))))))
| inverse(inverse(X_139)) = add(X_139,inverse(add(inverse(add(X_139,X_138)),inverse(add(X_139,inverse(add(inverse(X_139),X_137))))))) ),
inference(resolve,[$cnf( $equal(inverse(add(X_139,inverse(add(inverse(add(X_139,X_138)),inverse(add(X_139,inverse(add(inverse(X_139),X_137)))))))),inverse(X_139)) )],[refute_0_743,refute_0_744]) ).
cnf(refute_0_746,plain,
inverse(inverse(X_139)) = add(X_139,inverse(add(inverse(add(X_139,X_138)),inverse(add(X_139,inverse(add(inverse(X_139),X_137))))))),
inference(resolve,[$cnf( $equal(inverse(inverse(add(X_139,inverse(add(inverse(add(X_139,X_138)),inverse(add(X_139,inverse(add(inverse(X_139),X_137))))))))),add(X_139,inverse(add(inverse(add(X_139,X_138)),inverse(add(X_139,inverse(add(inverse(X_139),X_137)))))))) )],[refute_0_742,refute_0_745]) ).
cnf(refute_0_747,plain,
inverse(inverse(X_139)) = X_139,
inference(subst,[],[refute_0_130:[bind(C,$fot(X_139))]]) ).
cnf(refute_0_748,plain,
( inverse(inverse(X_139)) != X_139
| inverse(inverse(X_139)) != add(X_139,inverse(add(inverse(add(X_139,X_138)),inverse(add(X_139,inverse(add(inverse(X_139),X_137)))))))
| X_139 = add(X_139,inverse(add(inverse(add(X_139,X_138)),inverse(add(X_139,inverse(add(inverse(X_139),X_137))))))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(X_139)),add(X_139,inverse(add(inverse(add(X_139,X_138)),inverse(add(X_139,inverse(add(inverse(X_139),X_137)))))))) ),[0],$fot(X_139)]]) ).
cnf(refute_0_749,plain,
( inverse(inverse(X_139)) != add(X_139,inverse(add(inverse(add(X_139,X_138)),inverse(add(X_139,inverse(add(inverse(X_139),X_137)))))))
| X_139 = add(X_139,inverse(add(inverse(add(X_139,X_138)),inverse(add(X_139,inverse(add(inverse(X_139),X_137))))))) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_139)),X_139) )],[refute_0_747,refute_0_748]) ).
cnf(refute_0_750,plain,
X_139 = add(X_139,inverse(add(inverse(add(X_139,X_138)),inverse(add(X_139,inverse(add(inverse(X_139),X_137))))))),
inference(resolve,[$cnf( $equal(inverse(inverse(X_139)),add(X_139,inverse(add(inverse(add(X_139,X_138)),inverse(add(X_139,inverse(add(inverse(X_139),X_137)))))))) )],[refute_0_746,refute_0_749]) ).
cnf(refute_0_751,plain,
X_150 = add(X_150,inverse(add(inverse(add(X_150,inverse(add(inverse(X_150),X_148)))),inverse(add(X_150,inverse(add(inverse(X_150),X_148))))))),
inference(subst,[],[refute_0_750:[bind(X_137,$fot(X_148)),bind(X_138,$fot(inverse(add(inverse(X_150),X_148)))),bind(X_139,$fot(X_150))]]) ).
cnf(refute_0_752,plain,
add(inverse(add(X_150,inverse(add(inverse(X_150),X_148)))),inverse(add(X_150,inverse(add(inverse(X_150),X_148))))) = inverse(add(X_150,inverse(add(inverse(X_150),X_148)))),
inference(subst,[],[refute_0_432:[bind(X_43,$fot(inverse(add(X_150,inverse(add(inverse(X_150),X_148))))))]]) ).
cnf(refute_0_753,plain,
( X_150 != add(X_150,inverse(add(inverse(add(X_150,inverse(add(inverse(X_150),X_148)))),inverse(add(X_150,inverse(add(inverse(X_150),X_148)))))))
| add(inverse(add(X_150,inverse(add(inverse(X_150),X_148)))),inverse(add(X_150,inverse(add(inverse(X_150),X_148))))) != inverse(add(X_150,inverse(add(inverse(X_150),X_148))))
| X_150 = add(X_150,inverse(inverse(add(X_150,inverse(add(inverse(X_150),X_148)))))) ),
introduced(tautology,[equality,[$cnf( $equal(X_150,add(X_150,inverse(add(inverse(add(X_150,inverse(add(inverse(X_150),X_148)))),inverse(add(X_150,inverse(add(inverse(X_150),X_148)))))))) ),[1,1,0],$fot(inverse(add(X_150,inverse(add(inverse(X_150),X_148)))))]]) ).
cnf(refute_0_754,plain,
( X_150 != add(X_150,inverse(add(inverse(add(X_150,inverse(add(inverse(X_150),X_148)))),inverse(add(X_150,inverse(add(inverse(X_150),X_148)))))))
| X_150 = add(X_150,inverse(inverse(add(X_150,inverse(add(inverse(X_150),X_148)))))) ),
inference(resolve,[$cnf( $equal(add(inverse(add(X_150,inverse(add(inverse(X_150),X_148)))),inverse(add(X_150,inverse(add(inverse(X_150),X_148))))),inverse(add(X_150,inverse(add(inverse(X_150),X_148))))) )],[refute_0_752,refute_0_753]) ).
cnf(refute_0_755,plain,
X_150 = add(X_150,inverse(inverse(add(X_150,inverse(add(inverse(X_150),X_148)))))),
inference(resolve,[$cnf( $equal(X_150,add(X_150,inverse(add(inverse(add(X_150,inverse(add(inverse(X_150),X_148)))),inverse(add(X_150,inverse(add(inverse(X_150),X_148)))))))) )],[refute_0_751,refute_0_754]) ).
cnf(refute_0_756,plain,
inverse(inverse(add(X_150,inverse(add(inverse(X_150),X_148))))) = add(X_150,inverse(add(inverse(X_150),X_148))),
inference(subst,[],[refute_0_130:[bind(C,$fot(add(X_150,inverse(add(inverse(X_150),X_148)))))]]) ).
cnf(refute_0_757,plain,
add(X_150,inverse(inverse(add(X_150,inverse(add(inverse(X_150),X_148)))))) = add(X_150,inverse(inverse(add(X_150,inverse(add(inverse(X_150),X_148)))))),
introduced(tautology,[refl,[$fot(add(X_150,inverse(inverse(add(X_150,inverse(add(inverse(X_150),X_148)))))))]]) ).
cnf(refute_0_758,plain,
( add(X_150,inverse(inverse(add(X_150,inverse(add(inverse(X_150),X_148)))))) != add(X_150,inverse(inverse(add(X_150,inverse(add(inverse(X_150),X_148))))))
| inverse(inverse(add(X_150,inverse(add(inverse(X_150),X_148))))) != add(X_150,inverse(add(inverse(X_150),X_148)))
| add(X_150,inverse(inverse(add(X_150,inverse(add(inverse(X_150),X_148)))))) = add(X_150,add(X_150,inverse(add(inverse(X_150),X_148)))) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_150,inverse(inverse(add(X_150,inverse(add(inverse(X_150),X_148)))))),add(X_150,inverse(inverse(add(X_150,inverse(add(inverse(X_150),X_148))))))) ),[1,1],$fot(add(X_150,inverse(add(inverse(X_150),X_148))))]]) ).
cnf(refute_0_759,plain,
( inverse(inverse(add(X_150,inverse(add(inverse(X_150),X_148))))) != add(X_150,inverse(add(inverse(X_150),X_148)))
| add(X_150,inverse(inverse(add(X_150,inverse(add(inverse(X_150),X_148)))))) = add(X_150,add(X_150,inverse(add(inverse(X_150),X_148)))) ),
inference(resolve,[$cnf( $equal(add(X_150,inverse(inverse(add(X_150,inverse(add(inverse(X_150),X_148)))))),add(X_150,inverse(inverse(add(X_150,inverse(add(inverse(X_150),X_148))))))) )],[refute_0_757,refute_0_758]) ).
cnf(refute_0_760,plain,
add(X_150,inverse(inverse(add(X_150,inverse(add(inverse(X_150),X_148)))))) = add(X_150,add(X_150,inverse(add(inverse(X_150),X_148)))),
inference(resolve,[$cnf( $equal(inverse(inverse(add(X_150,inverse(add(inverse(X_150),X_148))))),add(X_150,inverse(add(inverse(X_150),X_148)))) )],[refute_0_756,refute_0_759]) ).
cnf(refute_0_761,plain,
( X_150 != add(X_150,inverse(inverse(add(X_150,inverse(add(inverse(X_150),X_148))))))
| add(X_150,inverse(inverse(add(X_150,inverse(add(inverse(X_150),X_148)))))) != add(X_150,add(X_150,inverse(add(inverse(X_150),X_148))))
| X_150 = add(X_150,add(X_150,inverse(add(inverse(X_150),X_148)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_150,add(X_150,add(X_150,inverse(add(inverse(X_150),X_148))))) ),[0],$fot(add(X_150,inverse(inverse(add(X_150,inverse(add(inverse(X_150),X_148)))))))]]) ).
cnf(refute_0_762,plain,
( X_150 != add(X_150,inverse(inverse(add(X_150,inverse(add(inverse(X_150),X_148))))))
| X_150 = add(X_150,add(X_150,inverse(add(inverse(X_150),X_148)))) ),
inference(resolve,[$cnf( $equal(add(X_150,inverse(inverse(add(X_150,inverse(add(inverse(X_150),X_148)))))),add(X_150,add(X_150,inverse(add(inverse(X_150),X_148))))) )],[refute_0_760,refute_0_761]) ).
cnf(refute_0_763,plain,
X_150 = add(X_150,add(X_150,inverse(add(inverse(X_150),X_148)))),
inference(resolve,[$cnf( $equal(X_150,add(X_150,inverse(inverse(add(X_150,inverse(add(inverse(X_150),X_148))))))) )],[refute_0_755,refute_0_762]) ).
cnf(refute_0_764,plain,
X_106 = add(X_106,add(X_106,inverse(add(inverse(X_106),X_151)))),
inference(subst,[],[refute_0_763:[bind(X_148,$fot(X_151)),bind(X_150,$fot(X_106))]]) ).
cnf(refute_0_765,plain,
( X_106 != add(X_106,add(X_106,inverse(add(inverse(X_106),X_151))))
| add(X_106,add(X_106,inverse(add(inverse(X_106),X_151)))) = X_106 ),
inference(subst,[],[refute_0_102:[bind(X,$fot(X_106)),bind(Y,$fot(add(X_106,add(X_106,inverse(add(inverse(X_106),X_151))))))]]) ).
cnf(refute_0_766,plain,
add(X_106,add(X_106,inverse(add(inverse(X_106),X_151)))) = X_106,
inference(resolve,[$cnf( $equal(X_106,add(X_106,add(X_106,inverse(add(inverse(X_106),X_151))))) )],[refute_0_764,refute_0_765]) ).
cnf(refute_0_767,plain,
( add(X_106,add(X_106,inverse(add(inverse(X_106),X_151)))) != X_106
| add(X_106,add(X_106,inverse(add(inverse(X_106),X_151)))) != add(inverse(add(add(X_106,inverse(add(inverse(X_106),X_151))),inverse(add(X_106,add(X_106,inverse(add(inverse(X_106),X_151))))))),add(X_106,inverse(add(inverse(X_106),X_151))))
| add(X_106,add(X_106,inverse(add(inverse(X_106),X_151)))) = add(inverse(add(add(X_106,inverse(add(inverse(X_106),X_151))),inverse(X_106))),add(X_106,inverse(add(inverse(X_106),X_151)))) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_106,add(X_106,inverse(add(inverse(X_106),X_151)))),add(inverse(add(add(X_106,inverse(add(inverse(X_106),X_151))),inverse(add(X_106,add(X_106,inverse(add(inverse(X_106),X_151))))))),add(X_106,inverse(add(inverse(X_106),X_151))))) ),[1,0,0,1,0],$fot(X_106)]]) ).
cnf(refute_0_768,plain,
( add(X_106,add(X_106,inverse(add(inverse(X_106),X_151)))) != add(inverse(add(add(X_106,inverse(add(inverse(X_106),X_151))),inverse(add(X_106,add(X_106,inverse(add(inverse(X_106),X_151))))))),add(X_106,inverse(add(inverse(X_106),X_151))))
| add(X_106,add(X_106,inverse(add(inverse(X_106),X_151)))) = add(inverse(add(add(X_106,inverse(add(inverse(X_106),X_151))),inverse(X_106))),add(X_106,inverse(add(inverse(X_106),X_151)))) ),
inference(resolve,[$cnf( $equal(add(X_106,add(X_106,inverse(add(inverse(X_106),X_151)))),X_106) )],[refute_0_766,refute_0_767]) ).
cnf(refute_0_769,plain,
add(X_106,add(X_106,inverse(add(inverse(X_106),X_151)))) = add(inverse(add(add(X_106,inverse(add(inverse(X_106),X_151))),inverse(X_106))),add(X_106,inverse(add(inverse(X_106),X_151)))),
inference(resolve,[$cnf( $equal(add(X_106,add(X_106,inverse(add(inverse(X_106),X_151)))),add(inverse(add(add(X_106,inverse(add(inverse(X_106),X_151))),inverse(add(X_106,add(X_106,inverse(add(inverse(X_106),X_151))))))),add(X_106,inverse(add(inverse(X_106),X_151))))) )],[refute_0_741,refute_0_768]) ).
cnf(refute_0_770,plain,
( add(X_106,add(X_106,inverse(add(inverse(X_106),X_151)))) != X_106
| add(X_106,add(X_106,inverse(add(inverse(X_106),X_151)))) != add(inverse(add(add(X_106,inverse(add(inverse(X_106),X_151))),inverse(X_106))),add(X_106,inverse(add(inverse(X_106),X_151))))
| X_106 = add(inverse(add(add(X_106,inverse(add(inverse(X_106),X_151))),inverse(X_106))),add(X_106,inverse(add(inverse(X_106),X_151)))) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_106,add(X_106,inverse(add(inverse(X_106),X_151)))),add(inverse(add(add(X_106,inverse(add(inverse(X_106),X_151))),inverse(X_106))),add(X_106,inverse(add(inverse(X_106),X_151))))) ),[0],$fot(X_106)]]) ).
cnf(refute_0_771,plain,
( add(X_106,add(X_106,inverse(add(inverse(X_106),X_151)))) != add(inverse(add(add(X_106,inverse(add(inverse(X_106),X_151))),inverse(X_106))),add(X_106,inverse(add(inverse(X_106),X_151))))
| X_106 = add(inverse(add(add(X_106,inverse(add(inverse(X_106),X_151))),inverse(X_106))),add(X_106,inverse(add(inverse(X_106),X_151)))) ),
inference(resolve,[$cnf( $equal(add(X_106,add(X_106,inverse(add(inverse(X_106),X_151)))),X_106) )],[refute_0_766,refute_0_770]) ).
cnf(refute_0_772,plain,
X_106 = add(inverse(add(add(X_106,inverse(add(inverse(X_106),X_151))),inverse(X_106))),add(X_106,inverse(add(inverse(X_106),X_151)))),
inference(resolve,[$cnf( $equal(add(X_106,add(X_106,inverse(add(inverse(X_106),X_151)))),add(inverse(add(add(X_106,inverse(add(inverse(X_106),X_151))),inverse(X_106))),add(X_106,inverse(add(inverse(X_106),X_151))))) )],[refute_0_769,refute_0_771]) ).
cnf(refute_0_773,plain,
( X_106 != add(inverse(add(add(X_106,inverse(add(inverse(X_106),X_151))),inverse(X_106))),add(X_106,inverse(add(inverse(X_106),X_151))))
| add(inverse(add(add(X_106,inverse(add(inverse(X_106),X_151))),inverse(X_106))),add(X_106,inverse(add(inverse(X_106),X_151)))) = X_106 ),
inference(subst,[],[refute_0_102:[bind(X,$fot(X_106)),bind(Y,$fot(add(inverse(add(add(X_106,inverse(add(inverse(X_106),X_151))),inverse(X_106))),add(X_106,inverse(add(inverse(X_106),X_151))))))]]) ).
cnf(refute_0_774,plain,
add(inverse(add(add(X_106,inverse(add(inverse(X_106),X_151))),inverse(X_106))),add(X_106,inverse(add(inverse(X_106),X_151)))) = X_106,
inference(resolve,[$cnf( $equal(X_106,add(inverse(add(add(X_106,inverse(add(inverse(X_106),X_151))),inverse(X_106))),add(X_106,inverse(add(inverse(X_106),X_151))))) )],[refute_0_772,refute_0_773]) ).
cnf(refute_0_775,plain,
( add(inverse(add(add(X_106,inverse(add(inverse(X_106),X_151))),inverse(X_106))),add(X_106,inverse(add(inverse(X_106),X_151)))) != X_106
| add(inverse(add(inverse(add(add(X_106,inverse(add(inverse(X_106),X_151))),inverse(X_106))),add(X_106,inverse(add(inverse(X_106),X_151))))),inverse(add(X_106,inverse(add(inverse(X_106),X_151))))) != inverse(add(X_106,inverse(add(inverse(X_106),X_151))))
| add(inverse(X_106),inverse(add(X_106,inverse(add(inverse(X_106),X_151))))) = inverse(add(X_106,inverse(add(inverse(X_106),X_151)))) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(add(inverse(add(add(X_106,inverse(add(inverse(X_106),X_151))),inverse(X_106))),add(X_106,inverse(add(inverse(X_106),X_151))))),inverse(add(X_106,inverse(add(inverse(X_106),X_151))))),inverse(add(X_106,inverse(add(inverse(X_106),X_151))))) ),[0,0,0],$fot(X_106)]]) ).
cnf(refute_0_776,plain,
( add(inverse(add(inverse(add(add(X_106,inverse(add(inverse(X_106),X_151))),inverse(X_106))),add(X_106,inverse(add(inverse(X_106),X_151))))),inverse(add(X_106,inverse(add(inverse(X_106),X_151))))) != inverse(add(X_106,inverse(add(inverse(X_106),X_151))))
| add(inverse(X_106),inverse(add(X_106,inverse(add(inverse(X_106),X_151))))) = inverse(add(X_106,inverse(add(inverse(X_106),X_151)))) ),
inference(resolve,[$cnf( $equal(add(inverse(add(add(X_106,inverse(add(inverse(X_106),X_151))),inverse(X_106))),add(X_106,inverse(add(inverse(X_106),X_151)))),X_106) )],[refute_0_774,refute_0_775]) ).
cnf(refute_0_777,plain,
add(inverse(X_106),inverse(add(X_106,inverse(add(inverse(X_106),X_151))))) = inverse(add(X_106,inverse(add(inverse(X_106),X_151)))),
inference(resolve,[$cnf( $equal(add(inverse(add(inverse(add(add(X_106,inverse(add(inverse(X_106),X_151))),inverse(X_106))),add(X_106,inverse(add(inverse(X_106),X_151))))),inverse(add(X_106,inverse(add(inverse(X_106),X_151))))),inverse(add(X_106,inverse(add(inverse(X_106),X_151))))) )],[refute_0_721,refute_0_776]) ).
cnf(refute_0_778,plain,
add(inverse(add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190)))),inverse(add(add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190))),inverse(add(X_189,X_190))))) = inverse(add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190)))),
inference(subst,[],[refute_0_281:[bind(C,$fot(inverse(add(X_189,X_190)))),bind(X_2,$fot(inverse(add(inverse(add(X_189,X_190)),X_189))))]]) ).
cnf(refute_0_779,plain,
( add(inverse(add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190)))),inverse(add(add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190))),inverse(add(X_189,X_190))))) != inverse(add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190))))
| inverse(add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190)))) != X_189
| add(X_189,inverse(add(add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190))),inverse(add(X_189,X_190))))) = inverse(add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190)))) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190)))),inverse(add(add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190))),inverse(add(X_189,X_190))))),inverse(add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190))))) ),[0,0],$fot(X_189)]]) ).
cnf(refute_0_780,plain,
( add(inverse(add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190)))),inverse(add(add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190))),inverse(add(X_189,X_190))))) != inverse(add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190))))
| add(X_189,inverse(add(add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190))),inverse(add(X_189,X_190))))) = inverse(add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190)))) ),
inference(resolve,[$cnf( $equal(inverse(add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190)))),X_189) )],[refute_0_586,refute_0_779]) ).
cnf(refute_0_781,plain,
add(X_189,inverse(add(add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190))),inverse(add(X_189,X_190))))) = inverse(add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190)))),
inference(resolve,[$cnf( $equal(add(inverse(add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190)))),inverse(add(add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190))),inverse(add(X_189,X_190))))),inverse(add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190))))) )],[refute_0_778,refute_0_780]) ).
cnf(refute_0_782,plain,
add(add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190))),inverse(add(X_189,X_190))) = add(add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190))),inverse(add(X_189,X_190))),
introduced(tautology,[refl,[$fot(add(add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190))),inverse(add(X_189,X_190))))]]) ).
cnf(refute_0_783,plain,
( add(add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190))),inverse(add(X_189,X_190))) != add(add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190))),inverse(add(X_189,X_190)))
| add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190))) != inverse(X_189)
| add(add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190))),inverse(add(X_189,X_190))) = add(inverse(X_189),inverse(add(X_189,X_190))) ),
introduced(tautology,[equality,[$cnf( $equal(add(add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190))),inverse(add(X_189,X_190))),add(add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190))),inverse(add(X_189,X_190)))) ),[1,0],$fot(inverse(X_189))]]) ).
cnf(refute_0_784,plain,
( add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190))) != inverse(X_189)
| add(add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190))),inverse(add(X_189,X_190))) = add(inverse(X_189),inverse(add(X_189,X_190))) ),
inference(resolve,[$cnf( $equal(add(add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190))),inverse(add(X_189,X_190))),add(add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190))),inverse(add(X_189,X_190)))) )],[refute_0_782,refute_0_783]) ).
cnf(refute_0_785,plain,
add(add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190))),inverse(add(X_189,X_190))) = add(inverse(X_189),inverse(add(X_189,X_190))),
inference(resolve,[$cnf( $equal(add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190))),inverse(X_189)) )],[refute_0_595,refute_0_784]) ).
cnf(refute_0_786,plain,
inverse(add(add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190))),inverse(add(X_189,X_190)))) = inverse(add(add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190))),inverse(add(X_189,X_190)))),
introduced(tautology,[refl,[$fot(inverse(add(add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190))),inverse(add(X_189,X_190)))))]]) ).
cnf(refute_0_787,plain,
( add(add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190))),inverse(add(X_189,X_190))) != add(inverse(X_189),inverse(add(X_189,X_190)))
| inverse(add(add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190))),inverse(add(X_189,X_190)))) != inverse(add(add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190))),inverse(add(X_189,X_190))))
| inverse(add(add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190))),inverse(add(X_189,X_190)))) = inverse(add(inverse(X_189),inverse(add(X_189,X_190)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(add(add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190))),inverse(add(X_189,X_190)))),inverse(add(add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190))),inverse(add(X_189,X_190))))) ),[1,0],$fot(add(inverse(X_189),inverse(add(X_189,X_190))))]]) ).
cnf(refute_0_788,plain,
( add(add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190))),inverse(add(X_189,X_190))) != add(inverse(X_189),inverse(add(X_189,X_190)))
| inverse(add(add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190))),inverse(add(X_189,X_190)))) = inverse(add(inverse(X_189),inverse(add(X_189,X_190)))) ),
inference(resolve,[$cnf( $equal(inverse(add(add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190))),inverse(add(X_189,X_190)))),inverse(add(add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190))),inverse(add(X_189,X_190))))) )],[refute_0_786,refute_0_787]) ).
cnf(refute_0_789,plain,
inverse(add(add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190))),inverse(add(X_189,X_190)))) = inverse(add(inverse(X_189),inverse(add(X_189,X_190)))),
inference(resolve,[$cnf( $equal(add(add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190))),inverse(add(X_189,X_190))),add(inverse(X_189),inverse(add(X_189,X_190)))) )],[refute_0_785,refute_0_788]) ).
cnf(refute_0_790,plain,
add(X_189,inverse(add(add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190))),inverse(add(X_189,X_190))))) = add(X_189,inverse(add(add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190))),inverse(add(X_189,X_190))))),
introduced(tautology,[refl,[$fot(add(X_189,inverse(add(add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190))),inverse(add(X_189,X_190))))))]]) ).
cnf(refute_0_791,plain,
( add(X_189,inverse(add(add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190))),inverse(add(X_189,X_190))))) != add(X_189,inverse(add(add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190))),inverse(add(X_189,X_190)))))
| inverse(add(add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190))),inverse(add(X_189,X_190)))) != inverse(add(inverse(X_189),inverse(add(X_189,X_190))))
| add(X_189,inverse(add(add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190))),inverse(add(X_189,X_190))))) = add(X_189,inverse(add(inverse(X_189),inverse(add(X_189,X_190))))) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_189,inverse(add(add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190))),inverse(add(X_189,X_190))))),add(X_189,inverse(add(add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190))),inverse(add(X_189,X_190)))))) ),[1,1],$fot(inverse(add(inverse(X_189),inverse(add(X_189,X_190)))))]]) ).
cnf(refute_0_792,plain,
( inverse(add(add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190))),inverse(add(X_189,X_190)))) != inverse(add(inverse(X_189),inverse(add(X_189,X_190))))
| add(X_189,inverse(add(add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190))),inverse(add(X_189,X_190))))) = add(X_189,inverse(add(inverse(X_189),inverse(add(X_189,X_190))))) ),
inference(resolve,[$cnf( $equal(add(X_189,inverse(add(add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190))),inverse(add(X_189,X_190))))),add(X_189,inverse(add(add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190))),inverse(add(X_189,X_190)))))) )],[refute_0_790,refute_0_791]) ).
cnf(refute_0_793,plain,
add(X_189,inverse(add(add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190))),inverse(add(X_189,X_190))))) = add(X_189,inverse(add(inverse(X_189),inverse(add(X_189,X_190))))),
inference(resolve,[$cnf( $equal(inverse(add(add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190))),inverse(add(X_189,X_190)))),inverse(add(inverse(X_189),inverse(add(X_189,X_190))))) )],[refute_0_789,refute_0_792]) ).
cnf(refute_0_794,plain,
( add(X_189,inverse(add(add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190))),inverse(add(X_189,X_190))))) != add(X_189,inverse(add(inverse(X_189),inverse(add(X_189,X_190)))))
| add(X_189,inverse(add(add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190))),inverse(add(X_189,X_190))))) != inverse(add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190))))
| add(X_189,inverse(add(inverse(X_189),inverse(add(X_189,X_190))))) = inverse(add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190)))) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_189,inverse(add(add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190))),inverse(add(X_189,X_190))))),inverse(add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190))))) ),[0],$fot(add(X_189,inverse(add(inverse(X_189),inverse(add(X_189,X_190))))))]]) ).
cnf(refute_0_795,plain,
( add(X_189,inverse(add(add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190))),inverse(add(X_189,X_190))))) != inverse(add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190))))
| add(X_189,inverse(add(inverse(X_189),inverse(add(X_189,X_190))))) = inverse(add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190)))) ),
inference(resolve,[$cnf( $equal(add(X_189,inverse(add(add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190))),inverse(add(X_189,X_190))))),add(X_189,inverse(add(inverse(X_189),inverse(add(X_189,X_190)))))) )],[refute_0_793,refute_0_794]) ).
cnf(refute_0_796,plain,
( add(X_189,inverse(add(inverse(X_189),inverse(add(X_189,X_190))))) != inverse(add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190))))
| inverse(add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190)))) != X_189
| add(X_189,inverse(add(inverse(X_189),inverse(add(X_189,X_190))))) = X_189 ),
introduced(tautology,[equality,[$cnf( ~ $equal(add(X_189,inverse(add(inverse(X_189),inverse(add(X_189,X_190))))),X_189) ),[0],$fot(inverse(add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190)))))]]) ).
cnf(refute_0_797,plain,
( add(X_189,inverse(add(inverse(X_189),inverse(add(X_189,X_190))))) != inverse(add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190))))
| add(X_189,inverse(add(inverse(X_189),inverse(add(X_189,X_190))))) = X_189 ),
inference(resolve,[$cnf( $equal(inverse(add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190)))),X_189) )],[refute_0_586,refute_0_796]) ).
cnf(refute_0_798,plain,
( add(X_189,inverse(add(add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190))),inverse(add(X_189,X_190))))) != inverse(add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190))))
| add(X_189,inverse(add(inverse(X_189),inverse(add(X_189,X_190))))) = X_189 ),
inference(resolve,[$cnf( $equal(add(X_189,inverse(add(inverse(X_189),inverse(add(X_189,X_190))))),inverse(add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190))))) )],[refute_0_795,refute_0_797]) ).
cnf(refute_0_799,plain,
add(X_189,inverse(add(inverse(X_189),inverse(add(X_189,X_190))))) = X_189,
inference(resolve,[$cnf( $equal(add(X_189,inverse(add(add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190))),inverse(add(X_189,X_190))))),inverse(add(inverse(add(inverse(add(X_189,X_190)),X_189)),inverse(add(X_189,X_190))))) )],[refute_0_781,refute_0_798]) ).
cnf(refute_0_800,plain,
add(X_42,inverse(add(inverse(X_42),inverse(add(X_42,X_9))))) = X_42,
inference(subst,[],[refute_0_799:[bind(X_189,$fot(X_42)),bind(X_190,$fot(X_9))]]) ).
cnf(refute_0_801,plain,
inverse(add(X_42,inverse(add(inverse(X_42),inverse(add(X_42,X_9)))))) = inverse(add(X_42,inverse(add(inverse(X_42),inverse(add(X_42,X_9)))))),
introduced(tautology,[refl,[$fot(inverse(add(X_42,inverse(add(inverse(X_42),inverse(add(X_42,X_9)))))))]]) ).
cnf(refute_0_802,plain,
( add(X_42,inverse(add(inverse(X_42),inverse(add(X_42,X_9))))) != X_42
| inverse(add(X_42,inverse(add(inverse(X_42),inverse(add(X_42,X_9)))))) != inverse(add(X_42,inverse(add(inverse(X_42),inverse(add(X_42,X_9))))))
| inverse(add(X_42,inverse(add(inverse(X_42),inverse(add(X_42,X_9)))))) = inverse(X_42) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(add(X_42,inverse(add(inverse(X_42),inverse(add(X_42,X_9)))))),inverse(add(X_42,inverse(add(inverse(X_42),inverse(add(X_42,X_9))))))) ),[1,0],$fot(X_42)]]) ).
cnf(refute_0_803,plain,
( add(X_42,inverse(add(inverse(X_42),inverse(add(X_42,X_9))))) != X_42
| inverse(add(X_42,inverse(add(inverse(X_42),inverse(add(X_42,X_9)))))) = inverse(X_42) ),
inference(resolve,[$cnf( $equal(inverse(add(X_42,inverse(add(inverse(X_42),inverse(add(X_42,X_9)))))),inverse(add(X_42,inverse(add(inverse(X_42),inverse(add(X_42,X_9))))))) )],[refute_0_801,refute_0_802]) ).
cnf(refute_0_804,plain,
inverse(add(X_42,inverse(add(inverse(X_42),inverse(add(X_42,X_9)))))) = inverse(X_42),
inference(resolve,[$cnf( $equal(add(X_42,inverse(add(inverse(X_42),inverse(add(X_42,X_9))))),X_42) )],[refute_0_800,refute_0_803]) ).
cnf(refute_0_805,plain,
( inverse(add(X_42,inverse(add(inverse(X_42),inverse(add(X_42,X_9)))))) != add(inverse(X_42),inverse(add(X_42,X_9)))
| inverse(add(X_42,inverse(add(inverse(X_42),inverse(add(X_42,X_9)))))) != inverse(X_42)
| inverse(X_42) = add(inverse(X_42),inverse(add(X_42,X_9))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(add(X_42,inverse(add(inverse(X_42),inverse(add(X_42,X_9)))))),add(inverse(X_42),inverse(add(X_42,X_9)))) ),[0],$fot(inverse(X_42))]]) ).
cnf(refute_0_806,plain,
( inverse(add(X_42,inverse(add(inverse(X_42),inverse(add(X_42,X_9)))))) != add(inverse(X_42),inverse(add(X_42,X_9)))
| inverse(X_42) = add(inverse(X_42),inverse(add(X_42,X_9))) ),
inference(resolve,[$cnf( $equal(inverse(add(X_42,inverse(add(inverse(X_42),inverse(add(X_42,X_9)))))),inverse(X_42)) )],[refute_0_804,refute_0_805]) ).
cnf(refute_0_807,plain,
inverse(X_42) = add(inverse(X_42),inverse(add(X_42,X_9))),
inference(resolve,[$cnf( $equal(inverse(add(X_42,inverse(add(inverse(X_42),inverse(add(X_42,X_9)))))),add(inverse(X_42),inverse(add(X_42,X_9)))) )],[refute_0_449,refute_0_806]) ).
cnf(refute_0_808,plain,
( inverse(X_42) != add(inverse(X_42),inverse(add(X_42,X_9)))
| add(inverse(X_42),inverse(add(X_42,X_9))) = inverse(X_42) ),
inference(subst,[],[refute_0_102:[bind(X,$fot(inverse(X_42))),bind(Y,$fot(add(inverse(X_42),inverse(add(X_42,X_9)))))]]) ).
cnf(refute_0_809,plain,
add(inverse(X_42),inverse(add(X_42,X_9))) = inverse(X_42),
inference(resolve,[$cnf( $equal(inverse(X_42),add(inverse(X_42),inverse(add(X_42,X_9)))) )],[refute_0_807,refute_0_808]) ).
cnf(refute_0_810,plain,
add(inverse(X_106),inverse(add(X_106,inverse(add(inverse(X_106),X_151))))) = inverse(X_106),
inference(subst,[],[refute_0_809:[bind(X_42,$fot(X_106)),bind(X_9,$fot(inverse(add(inverse(X_106),X_151))))]]) ).
cnf(refute_0_811,plain,
( add(inverse(X_106),inverse(add(X_106,inverse(add(inverse(X_106),X_151))))) != inverse(X_106)
| add(inverse(X_106),inverse(add(X_106,inverse(add(inverse(X_106),X_151))))) != inverse(add(X_106,inverse(add(inverse(X_106),X_151))))
| inverse(X_106) = inverse(add(X_106,inverse(add(inverse(X_106),X_151)))) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(X_106),inverse(add(X_106,inverse(add(inverse(X_106),X_151))))),inverse(add(X_106,inverse(add(inverse(X_106),X_151))))) ),[0],$fot(inverse(X_106))]]) ).
cnf(refute_0_812,plain,
( add(inverse(X_106),inverse(add(X_106,inverse(add(inverse(X_106),X_151))))) != inverse(add(X_106,inverse(add(inverse(X_106),X_151))))
| inverse(X_106) = inverse(add(X_106,inverse(add(inverse(X_106),X_151)))) ),
inference(resolve,[$cnf( $equal(add(inverse(X_106),inverse(add(X_106,inverse(add(inverse(X_106),X_151))))),inverse(X_106)) )],[refute_0_810,refute_0_811]) ).
cnf(refute_0_813,plain,
inverse(X_106) = inverse(add(X_106,inverse(add(inverse(X_106),X_151)))),
inference(resolve,[$cnf( $equal(add(inverse(X_106),inverse(add(X_106,inverse(add(inverse(X_106),X_151))))),inverse(add(X_106,inverse(add(inverse(X_106),X_151))))) )],[refute_0_777,refute_0_812]) ).
cnf(refute_0_814,plain,
( inverse(X_106) != inverse(add(X_106,inverse(add(inverse(X_106),X_151))))
| inverse(add(X_106,inverse(add(inverse(X_106),X_151)))) = inverse(X_106) ),
inference(subst,[],[refute_0_102:[bind(X,$fot(inverse(X_106))),bind(Y,$fot(inverse(add(X_106,inverse(add(inverse(X_106),X_151))))))]]) ).
cnf(refute_0_815,plain,
inverse(add(X_106,inverse(add(inverse(X_106),X_151)))) = inverse(X_106),
inference(resolve,[$cnf( $equal(inverse(X_106),inverse(add(X_106,inverse(add(inverse(X_106),X_151))))) )],[refute_0_813,refute_0_814]) ).
cnf(refute_0_816,plain,
inverse(add(A,inverse(add(inverse(A),B)))) = inverse(A),
inference(subst,[],[refute_0_815:[bind(X_106,$fot(A)),bind(X_151,$fot(B))]]) ).
cnf(refute_0_817,plain,
inverse(add(add(inverse(A),B),inverse(add(inverse(add(inverse(A),B)),D)))) = inverse(add(inverse(A),B)),
inference(subst,[],[refute_0_815:[bind(X_106,$fot(add(inverse(A),B))),bind(X_151,$fot(D))]]) ).
cnf(refute_0_818,plain,
add(A,inverse(add(add(inverse(A),B),inverse(add(inverse(add(inverse(A),B)),D))))) = add(A,inverse(add(add(inverse(A),B),inverse(add(inverse(add(inverse(A),B)),D))))),
introduced(tautology,[refl,[$fot(add(A,inverse(add(add(inverse(A),B),inverse(add(inverse(add(inverse(A),B)),D))))))]]) ).
cnf(refute_0_819,plain,
( add(A,inverse(add(add(inverse(A),B),inverse(add(inverse(add(inverse(A),B)),D))))) != add(A,inverse(add(add(inverse(A),B),inverse(add(inverse(add(inverse(A),B)),D)))))
| inverse(add(add(inverse(A),B),inverse(add(inverse(add(inverse(A),B)),D)))) != inverse(add(inverse(A),B))
| add(A,inverse(add(add(inverse(A),B),inverse(add(inverse(add(inverse(A),B)),D))))) = add(A,inverse(add(inverse(A),B))) ),
introduced(tautology,[equality,[$cnf( $equal(add(A,inverse(add(add(inverse(A),B),inverse(add(inverse(add(inverse(A),B)),D))))),add(A,inverse(add(add(inverse(A),B),inverse(add(inverse(add(inverse(A),B)),D)))))) ),[1,1],$fot(inverse(add(inverse(A),B)))]]) ).
cnf(refute_0_820,plain,
( inverse(add(add(inverse(A),B),inverse(add(inverse(add(inverse(A),B)),D)))) != inverse(add(inverse(A),B))
| add(A,inverse(add(add(inverse(A),B),inverse(add(inverse(add(inverse(A),B)),D))))) = add(A,inverse(add(inverse(A),B))) ),
inference(resolve,[$cnf( $equal(add(A,inverse(add(add(inverse(A),B),inverse(add(inverse(add(inverse(A),B)),D))))),add(A,inverse(add(add(inverse(A),B),inverse(add(inverse(add(inverse(A),B)),D)))))) )],[refute_0_818,refute_0_819]) ).
cnf(refute_0_821,plain,
add(A,inverse(add(add(inverse(A),B),inverse(add(inverse(add(inverse(A),B)),D))))) = add(A,inverse(add(inverse(A),B))),
inference(resolve,[$cnf( $equal(inverse(add(add(inverse(A),B),inverse(add(inverse(add(inverse(A),B)),D)))),inverse(add(inverse(A),B))) )],[refute_0_817,refute_0_820]) ).
cnf(refute_0_822,plain,
inverse(add(A,inverse(add(add(inverse(A),B),inverse(add(inverse(add(inverse(A),B)),D)))))) = inverse(add(A,inverse(add(add(inverse(A),B),inverse(add(inverse(add(inverse(A),B)),D)))))),
introduced(tautology,[refl,[$fot(inverse(add(A,inverse(add(add(inverse(A),B),inverse(add(inverse(add(inverse(A),B)),D)))))))]]) ).
cnf(refute_0_823,plain,
( add(A,inverse(add(add(inverse(A),B),inverse(add(inverse(add(inverse(A),B)),D))))) != add(A,inverse(add(inverse(A),B)))
| inverse(add(A,inverse(add(add(inverse(A),B),inverse(add(inverse(add(inverse(A),B)),D)))))) != inverse(add(A,inverse(add(add(inverse(A),B),inverse(add(inverse(add(inverse(A),B)),D))))))
| inverse(add(A,inverse(add(add(inverse(A),B),inverse(add(inverse(add(inverse(A),B)),D)))))) = inverse(add(A,inverse(add(inverse(A),B)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(add(A,inverse(add(add(inverse(A),B),inverse(add(inverse(add(inverse(A),B)),D)))))),inverse(add(A,inverse(add(add(inverse(A),B),inverse(add(inverse(add(inverse(A),B)),D))))))) ),[1,0],$fot(add(A,inverse(add(inverse(A),B))))]]) ).
cnf(refute_0_824,plain,
( add(A,inverse(add(add(inverse(A),B),inverse(add(inverse(add(inverse(A),B)),D))))) != add(A,inverse(add(inverse(A),B)))
| inverse(add(A,inverse(add(add(inverse(A),B),inverse(add(inverse(add(inverse(A),B)),D)))))) = inverse(add(A,inverse(add(inverse(A),B)))) ),
inference(resolve,[$cnf( $equal(inverse(add(A,inverse(add(add(inverse(A),B),inverse(add(inverse(add(inverse(A),B)),D)))))),inverse(add(A,inverse(add(add(inverse(A),B),inverse(add(inverse(add(inverse(A),B)),D))))))) )],[refute_0_822,refute_0_823]) ).
cnf(refute_0_825,plain,
inverse(add(A,inverse(add(add(inverse(A),B),inverse(add(inverse(add(inverse(A),B)),D)))))) = inverse(add(A,inverse(add(inverse(A),B)))),
inference(resolve,[$cnf( $equal(add(A,inverse(add(add(inverse(A),B),inverse(add(inverse(add(inverse(A),B)),D))))),add(A,inverse(add(inverse(A),B)))) )],[refute_0_821,refute_0_824]) ).
cnf(refute_0_826,plain,
( inverse(add(A,inverse(add(add(inverse(A),B),inverse(add(inverse(add(inverse(A),B)),D)))))) != inverse(add(A,inverse(add(inverse(A),B))))
| inverse(add(A,inverse(add(inverse(A),B)))) != inverse(A)
| inverse(add(A,inverse(add(add(inverse(A),B),inverse(add(inverse(add(inverse(A),B)),D)))))) = inverse(A) ),
inference(subst,[],[refute_0_104:[bind(X,$fot(inverse(add(A,inverse(add(add(inverse(A),B),inverse(add(inverse(add(inverse(A),B)),D)))))))),bind(Y,$fot(inverse(add(A,inverse(add(inverse(A),B)))))),bind(Z,$fot(inverse(A)))]]) ).
cnf(refute_0_827,plain,
( inverse(add(A,inverse(add(inverse(A),B)))) != inverse(A)
| inverse(add(A,inverse(add(add(inverse(A),B),inverse(add(inverse(add(inverse(A),B)),D)))))) = inverse(A) ),
inference(resolve,[$cnf( $equal(inverse(add(A,inverse(add(add(inverse(A),B),inverse(add(inverse(add(inverse(A),B)),D)))))),inverse(add(A,inverse(add(inverse(A),B))))) )],[refute_0_825,refute_0_826]) ).
cnf(refute_0_828,plain,
inverse(add(A,inverse(add(add(inverse(A),B),inverse(add(inverse(add(inverse(A),B)),D)))))) = inverse(A),
inference(resolve,[$cnf( $equal(inverse(add(A,inverse(add(inverse(A),B)))),inverse(A)) )],[refute_0_816,refute_0_827]) ).
cnf(refute_0_829,plain,
add(B,inverse(add(A,inverse(add(add(inverse(A),B),inverse(add(inverse(add(inverse(A),B)),D))))))) = add(B,inverse(add(A,inverse(add(add(inverse(A),B),inverse(add(inverse(add(inverse(A),B)),D))))))),
introduced(tautology,[refl,[$fot(add(B,inverse(add(A,inverse(add(add(inverse(A),B),inverse(add(inverse(add(inverse(A),B)),D))))))))]]) ).
cnf(refute_0_830,plain,
( add(B,inverse(add(A,inverse(add(add(inverse(A),B),inverse(add(inverse(add(inverse(A),B)),D))))))) != add(B,inverse(add(A,inverse(add(add(inverse(A),B),inverse(add(inverse(add(inverse(A),B)),D)))))))
| inverse(add(A,inverse(add(add(inverse(A),B),inverse(add(inverse(add(inverse(A),B)),D)))))) != inverse(A)
| add(B,inverse(add(A,inverse(add(add(inverse(A),B),inverse(add(inverse(add(inverse(A),B)),D))))))) = add(B,inverse(A)) ),
introduced(tautology,[equality,[$cnf( $equal(add(B,inverse(add(A,inverse(add(add(inverse(A),B),inverse(add(inverse(add(inverse(A),B)),D))))))),add(B,inverse(add(A,inverse(add(add(inverse(A),B),inverse(add(inverse(add(inverse(A),B)),D)))))))) ),[1,1],$fot(inverse(A))]]) ).
cnf(refute_0_831,plain,
( inverse(add(A,inverse(add(add(inverse(A),B),inverse(add(inverse(add(inverse(A),B)),D)))))) != inverse(A)
| add(B,inverse(add(A,inverse(add(add(inverse(A),B),inverse(add(inverse(add(inverse(A),B)),D))))))) = add(B,inverse(A)) ),
inference(resolve,[$cnf( $equal(add(B,inverse(add(A,inverse(add(add(inverse(A),B),inverse(add(inverse(add(inverse(A),B)),D))))))),add(B,inverse(add(A,inverse(add(add(inverse(A),B),inverse(add(inverse(add(inverse(A),B)),D)))))))) )],[refute_0_829,refute_0_830]) ).
cnf(refute_0_832,plain,
add(B,inverse(add(A,inverse(add(add(inverse(A),B),inverse(add(inverse(add(inverse(A),B)),D))))))) = add(B,inverse(A)),
inference(resolve,[$cnf( $equal(inverse(add(A,inverse(add(add(inverse(A),B),inverse(add(inverse(add(inverse(A),B)),D)))))),inverse(A)) )],[refute_0_828,refute_0_831]) ).
cnf(refute_0_833,plain,
inverse(add(B,inverse(add(A,inverse(add(add(inverse(A),B),inverse(add(inverse(add(inverse(A),B)),D)))))))) = inverse(add(B,inverse(add(A,inverse(add(add(inverse(A),B),inverse(add(inverse(add(inverse(A),B)),D)))))))),
introduced(tautology,[refl,[$fot(inverse(add(B,inverse(add(A,inverse(add(add(inverse(A),B),inverse(add(inverse(add(inverse(A),B)),D)))))))))]]) ).
cnf(refute_0_834,plain,
( add(B,inverse(add(A,inverse(add(add(inverse(A),B),inverse(add(inverse(add(inverse(A),B)),D))))))) != add(B,inverse(A))
| inverse(add(B,inverse(add(A,inverse(add(add(inverse(A),B),inverse(add(inverse(add(inverse(A),B)),D)))))))) != inverse(add(B,inverse(add(A,inverse(add(add(inverse(A),B),inverse(add(inverse(add(inverse(A),B)),D))))))))
| inverse(add(B,inverse(add(A,inverse(add(add(inverse(A),B),inverse(add(inverse(add(inverse(A),B)),D)))))))) = inverse(add(B,inverse(A))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(add(B,inverse(add(A,inverse(add(add(inverse(A),B),inverse(add(inverse(add(inverse(A),B)),D)))))))),inverse(add(B,inverse(add(A,inverse(add(add(inverse(A),B),inverse(add(inverse(add(inverse(A),B)),D))))))))) ),[1,0],$fot(add(B,inverse(A)))]]) ).
cnf(refute_0_835,plain,
( add(B,inverse(add(A,inverse(add(add(inverse(A),B),inverse(add(inverse(add(inverse(A),B)),D))))))) != add(B,inverse(A))
| inverse(add(B,inverse(add(A,inverse(add(add(inverse(A),B),inverse(add(inverse(add(inverse(A),B)),D)))))))) = inverse(add(B,inverse(A))) ),
inference(resolve,[$cnf( $equal(inverse(add(B,inverse(add(A,inverse(add(add(inverse(A),B),inverse(add(inverse(add(inverse(A),B)),D)))))))),inverse(add(B,inverse(add(A,inverse(add(add(inverse(A),B),inverse(add(inverse(add(inverse(A),B)),D))))))))) )],[refute_0_833,refute_0_834]) ).
cnf(refute_0_836,plain,
inverse(add(B,inverse(add(A,inverse(add(add(inverse(A),B),inverse(add(inverse(add(inverse(A),B)),D)))))))) = inverse(add(B,inverse(A))),
inference(resolve,[$cnf( $equal(add(B,inverse(add(A,inverse(add(add(inverse(A),B),inverse(add(inverse(add(inverse(A),B)),D))))))),add(B,inverse(A))) )],[refute_0_832,refute_0_835]) ).
cnf(refute_0_837,plain,
( inverse(add(B,inverse(add(A,inverse(add(add(inverse(A),B),inverse(add(inverse(add(inverse(A),B)),D)))))))) != inverse(add(B,inverse(A)))
| inverse(add(B,inverse(add(A,inverse(add(add(inverse(A),B),inverse(add(inverse(add(inverse(A),B)),D)))))))) != inverse(add(inverse(A),B))
| inverse(add(B,inverse(A))) = inverse(add(inverse(A),B)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(add(B,inverse(add(A,inverse(add(add(inverse(A),B),inverse(add(inverse(add(inverse(A),B)),D)))))))),inverse(add(inverse(A),B))) ),[0],$fot(inverse(add(B,inverse(A))))]]) ).
cnf(refute_0_838,plain,
( inverse(add(B,inverse(add(A,inverse(add(add(inverse(A),B),inverse(add(inverse(add(inverse(A),B)),D)))))))) != inverse(add(inverse(A),B))
| inverse(add(B,inverse(A))) = inverse(add(inverse(A),B)) ),
inference(resolve,[$cnf( $equal(inverse(add(B,inverse(add(A,inverse(add(add(inverse(A),B),inverse(add(inverse(add(inverse(A),B)),D)))))))),inverse(add(B,inverse(A)))) )],[refute_0_836,refute_0_837]) ).
cnf(refute_0_839,plain,
inverse(add(B,inverse(A))) = inverse(add(inverse(A),B)),
inference(resolve,[$cnf( $equal(inverse(add(B,inverse(add(A,inverse(add(add(inverse(A),B),inverse(add(inverse(add(inverse(A),B)),D)))))))),inverse(add(inverse(A),B))) )],[refute_0_168,refute_0_838]) ).
cnf(refute_0_840,plain,
inverse(add(inverse(add(inverse(add(X_12,X_8)),X_42)),inverse(add(inverse(X_12),X_8)))) = inverse(add(inverse(add(inverse(X_12),X_8)),inverse(add(inverse(add(X_12,X_8)),X_42)))),
inference(subst,[],[refute_0_839:[bind(A,$fot(add(inverse(X_12),X_8))),bind(B,$fot(inverse(add(inverse(add(X_12,X_8)),X_42))))]]) ).
cnf(refute_0_841,plain,
add(X_8,inverse(add(inverse(add(inverse(add(X_12,X_8)),X_42)),inverse(add(inverse(X_12),X_8))))) = add(X_8,inverse(add(inverse(add(inverse(add(X_12,X_8)),X_42)),inverse(add(inverse(X_12),X_8))))),
introduced(tautology,[refl,[$fot(add(X_8,inverse(add(inverse(add(inverse(add(X_12,X_8)),X_42)),inverse(add(inverse(X_12),X_8))))))]]) ).
cnf(refute_0_842,plain,
( add(X_8,inverse(add(inverse(add(inverse(add(X_12,X_8)),X_42)),inverse(add(inverse(X_12),X_8))))) != add(X_8,inverse(add(inverse(add(inverse(add(X_12,X_8)),X_42)),inverse(add(inverse(X_12),X_8)))))
| inverse(add(inverse(add(inverse(add(X_12,X_8)),X_42)),inverse(add(inverse(X_12),X_8)))) != inverse(add(inverse(add(inverse(X_12),X_8)),inverse(add(inverse(add(X_12,X_8)),X_42))))
| add(X_8,inverse(add(inverse(add(inverse(add(X_12,X_8)),X_42)),inverse(add(inverse(X_12),X_8))))) = add(X_8,inverse(add(inverse(add(inverse(X_12),X_8)),inverse(add(inverse(add(X_12,X_8)),X_42))))) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_8,inverse(add(inverse(add(inverse(add(X_12,X_8)),X_42)),inverse(add(inverse(X_12),X_8))))),add(X_8,inverse(add(inverse(add(inverse(add(X_12,X_8)),X_42)),inverse(add(inverse(X_12),X_8)))))) ),[1,1],$fot(inverse(add(inverse(add(inverse(X_12),X_8)),inverse(add(inverse(add(X_12,X_8)),X_42)))))]]) ).
cnf(refute_0_843,plain,
( inverse(add(inverse(add(inverse(add(X_12,X_8)),X_42)),inverse(add(inverse(X_12),X_8)))) != inverse(add(inverse(add(inverse(X_12),X_8)),inverse(add(inverse(add(X_12,X_8)),X_42))))
| add(X_8,inverse(add(inverse(add(inverse(add(X_12,X_8)),X_42)),inverse(add(inverse(X_12),X_8))))) = add(X_8,inverse(add(inverse(add(inverse(X_12),X_8)),inverse(add(inverse(add(X_12,X_8)),X_42))))) ),
inference(resolve,[$cnf( $equal(add(X_8,inverse(add(inverse(add(inverse(add(X_12,X_8)),X_42)),inverse(add(inverse(X_12),X_8))))),add(X_8,inverse(add(inverse(add(inverse(add(X_12,X_8)),X_42)),inverse(add(inverse(X_12),X_8)))))) )],[refute_0_841,refute_0_842]) ).
cnf(refute_0_844,plain,
add(X_8,inverse(add(inverse(add(inverse(add(X_12,X_8)),X_42)),inverse(add(inverse(X_12),X_8))))) = add(X_8,inverse(add(inverse(add(inverse(X_12),X_8)),inverse(add(inverse(add(X_12,X_8)),X_42))))),
inference(resolve,[$cnf( $equal(inverse(add(inverse(add(inverse(add(X_12,X_8)),X_42)),inverse(add(inverse(X_12),X_8)))),inverse(add(inverse(add(inverse(X_12),X_8)),inverse(add(inverse(add(X_12,X_8)),X_42))))) )],[refute_0_840,refute_0_843]) ).
cnf(refute_0_845,plain,
inverse(add(X_8,inverse(add(inverse(add(inverse(add(X_12,X_8)),X_42)),inverse(add(inverse(X_12),X_8)))))) = inverse(add(X_8,inverse(add(inverse(add(inverse(add(X_12,X_8)),X_42)),inverse(add(inverse(X_12),X_8)))))),
introduced(tautology,[refl,[$fot(inverse(add(X_8,inverse(add(inverse(add(inverse(add(X_12,X_8)),X_42)),inverse(add(inverse(X_12),X_8)))))))]]) ).
cnf(refute_0_846,plain,
( add(X_8,inverse(add(inverse(add(inverse(add(X_12,X_8)),X_42)),inverse(add(inverse(X_12),X_8))))) != add(X_8,inverse(add(inverse(add(inverse(X_12),X_8)),inverse(add(inverse(add(X_12,X_8)),X_42)))))
| inverse(add(X_8,inverse(add(inverse(add(inverse(add(X_12,X_8)),X_42)),inverse(add(inverse(X_12),X_8)))))) != inverse(add(X_8,inverse(add(inverse(add(inverse(add(X_12,X_8)),X_42)),inverse(add(inverse(X_12),X_8))))))
| inverse(add(X_8,inverse(add(inverse(add(inverse(add(X_12,X_8)),X_42)),inverse(add(inverse(X_12),X_8)))))) = inverse(add(X_8,inverse(add(inverse(add(inverse(X_12),X_8)),inverse(add(inverse(add(X_12,X_8)),X_42)))))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(add(X_8,inverse(add(inverse(add(inverse(add(X_12,X_8)),X_42)),inverse(add(inverse(X_12),X_8)))))),inverse(add(X_8,inverse(add(inverse(add(inverse(add(X_12,X_8)),X_42)),inverse(add(inverse(X_12),X_8))))))) ),[1,0],$fot(add(X_8,inverse(add(inverse(add(inverse(X_12),X_8)),inverse(add(inverse(add(X_12,X_8)),X_42))))))]]) ).
cnf(refute_0_847,plain,
( add(X_8,inverse(add(inverse(add(inverse(add(X_12,X_8)),X_42)),inverse(add(inverse(X_12),X_8))))) != add(X_8,inverse(add(inverse(add(inverse(X_12),X_8)),inverse(add(inverse(add(X_12,X_8)),X_42)))))
| inverse(add(X_8,inverse(add(inverse(add(inverse(add(X_12,X_8)),X_42)),inverse(add(inverse(X_12),X_8)))))) = inverse(add(X_8,inverse(add(inverse(add(inverse(X_12),X_8)),inverse(add(inverse(add(X_12,X_8)),X_42)))))) ),
inference(resolve,[$cnf( $equal(inverse(add(X_8,inverse(add(inverse(add(inverse(add(X_12,X_8)),X_42)),inverse(add(inverse(X_12),X_8)))))),inverse(add(X_8,inverse(add(inverse(add(inverse(add(X_12,X_8)),X_42)),inverse(add(inverse(X_12),X_8))))))) )],[refute_0_845,refute_0_846]) ).
cnf(refute_0_848,plain,
inverse(add(X_8,inverse(add(inverse(add(inverse(add(X_12,X_8)),X_42)),inverse(add(inverse(X_12),X_8)))))) = inverse(add(X_8,inverse(add(inverse(add(inverse(X_12),X_8)),inverse(add(inverse(add(X_12,X_8)),X_42)))))),
inference(resolve,[$cnf( $equal(add(X_8,inverse(add(inverse(add(inverse(add(X_12,X_8)),X_42)),inverse(add(inverse(X_12),X_8))))),add(X_8,inverse(add(inverse(add(inverse(X_12),X_8)),inverse(add(inverse(add(X_12,X_8)),X_42)))))) )],[refute_0_844,refute_0_847]) ).
cnf(refute_0_849,plain,
( inverse(add(B,inverse(A))) != inverse(add(inverse(A),B))
| inverse(add(inverse(A),B)) = inverse(add(B,inverse(A))) ),
inference(subst,[],[refute_0_102:[bind(X,$fot(inverse(add(B,inverse(A))))),bind(Y,$fot(inverse(add(inverse(A),B))))]]) ).
cnf(refute_0_850,plain,
inverse(add(inverse(A),B)) = inverse(add(B,inverse(A))),
inference(resolve,[$cnf( $equal(inverse(add(B,inverse(A))),inverse(add(inverse(A),B))) )],[refute_0_839,refute_0_849]) ).
cnf(refute_0_851,plain,
inverse(add(inverse(add(inverse(add(inverse(add(X_12,X_8)),X_42)),inverse(add(inverse(X_12),X_8)))),X_8)) = inverse(add(X_8,inverse(add(inverse(add(inverse(add(X_12,X_8)),X_42)),inverse(add(inverse(X_12),X_8)))))),
inference(subst,[],[refute_0_850:[bind(A,$fot(add(inverse(add(inverse(add(X_12,X_8)),X_42)),inverse(add(inverse(X_12),X_8))))),bind(B,$fot(X_8))]]) ).
cnf(refute_0_852,plain,
( inverse(add(X_8,inverse(add(inverse(add(inverse(add(X_12,X_8)),X_42)),inverse(add(inverse(X_12),X_8)))))) != inverse(add(X_8,inverse(add(inverse(add(inverse(X_12),X_8)),inverse(add(inverse(add(X_12,X_8)),X_42))))))
| inverse(add(inverse(add(inverse(add(inverse(add(X_12,X_8)),X_42)),inverse(add(inverse(X_12),X_8)))),X_8)) != inverse(add(X_8,inverse(add(inverse(add(inverse(add(X_12,X_8)),X_42)),inverse(add(inverse(X_12),X_8))))))
| inverse(add(inverse(add(inverse(add(inverse(add(X_12,X_8)),X_42)),inverse(add(inverse(X_12),X_8)))),X_8)) = inverse(add(X_8,inverse(add(inverse(add(inverse(X_12),X_8)),inverse(add(inverse(add(X_12,X_8)),X_42)))))) ),
inference(subst,[],[refute_0_104:[bind(X,$fot(inverse(add(inverse(add(inverse(add(inverse(add(X_12,X_8)),X_42)),inverse(add(inverse(X_12),X_8)))),X_8)))),bind(Y,$fot(inverse(add(X_8,inverse(add(inverse(add(inverse(add(X_12,X_8)),X_42)),inverse(add(inverse(X_12),X_8)))))))),bind(Z,$fot(inverse(add(X_8,inverse(add(inverse(add(inverse(X_12),X_8)),inverse(add(inverse(add(X_12,X_8)),X_42))))))))]]) ).
cnf(refute_0_853,plain,
( inverse(add(X_8,inverse(add(inverse(add(inverse(add(X_12,X_8)),X_42)),inverse(add(inverse(X_12),X_8)))))) != inverse(add(X_8,inverse(add(inverse(add(inverse(X_12),X_8)),inverse(add(inverse(add(X_12,X_8)),X_42))))))
| inverse(add(inverse(add(inverse(add(inverse(add(X_12,X_8)),X_42)),inverse(add(inverse(X_12),X_8)))),X_8)) = inverse(add(X_8,inverse(add(inverse(add(inverse(X_12),X_8)),inverse(add(inverse(add(X_12,X_8)),X_42)))))) ),
inference(resolve,[$cnf( $equal(inverse(add(inverse(add(inverse(add(inverse(add(X_12,X_8)),X_42)),inverse(add(inverse(X_12),X_8)))),X_8)),inverse(add(X_8,inverse(add(inverse(add(inverse(add(X_12,X_8)),X_42)),inverse(add(inverse(X_12),X_8))))))) )],[refute_0_851,refute_0_852]) ).
cnf(refute_0_854,plain,
inverse(add(inverse(add(inverse(add(inverse(add(X_12,X_8)),X_42)),inverse(add(inverse(X_12),X_8)))),X_8)) = inverse(add(X_8,inverse(add(inverse(add(inverse(X_12),X_8)),inverse(add(inverse(add(X_12,X_8)),X_42)))))),
inference(resolve,[$cnf( $equal(inverse(add(X_8,inverse(add(inverse(add(inverse(add(X_12,X_8)),X_42)),inverse(add(inverse(X_12),X_8)))))),inverse(add(X_8,inverse(add(inverse(add(inverse(X_12),X_8)),inverse(add(inverse(add(X_12,X_8)),X_42))))))) )],[refute_0_848,refute_0_853]) ).
cnf(refute_0_855,plain,
( inverse(add(inverse(add(inverse(add(inverse(add(X_12,X_8)),X_42)),inverse(add(inverse(X_12),X_8)))),X_8)) != inverse(add(X_8,inverse(add(inverse(add(inverse(X_12),X_8)),inverse(add(inverse(add(X_12,X_8)),X_42))))))
| inverse(add(inverse(add(inverse(add(inverse(add(X_12,X_8)),X_42)),inverse(add(inverse(X_12),X_8)))),X_8)) != inverse(add(inverse(X_12),X_8))
| inverse(add(X_8,inverse(add(inverse(add(inverse(X_12),X_8)),inverse(add(inverse(add(X_12,X_8)),X_42)))))) = inverse(add(inverse(X_12),X_8)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(add(inverse(add(inverse(add(X_12,X_8)),X_42)),inverse(add(inverse(X_12),X_8)))),X_8)),inverse(add(inverse(X_12),X_8))) ),[0],$fot(inverse(add(X_8,inverse(add(inverse(add(inverse(X_12),X_8)),inverse(add(inverse(add(X_12,X_8)),X_42)))))))]]) ).
cnf(refute_0_856,plain,
( inverse(add(inverse(add(inverse(add(inverse(add(X_12,X_8)),X_42)),inverse(add(inverse(X_12),X_8)))),X_8)) != inverse(add(inverse(X_12),X_8))
| inverse(add(X_8,inverse(add(inverse(add(inverse(X_12),X_8)),inverse(add(inverse(add(X_12,X_8)),X_42)))))) = inverse(add(inverse(X_12),X_8)) ),
inference(resolve,[$cnf( $equal(inverse(add(inverse(add(inverse(add(inverse(add(X_12,X_8)),X_42)),inverse(add(inverse(X_12),X_8)))),X_8)),inverse(add(X_8,inverse(add(inverse(add(inverse(X_12),X_8)),inverse(add(inverse(add(X_12,X_8)),X_42))))))) )],[refute_0_854,refute_0_855]) ).
cnf(refute_0_857,plain,
inverse(add(X_8,inverse(add(inverse(add(inverse(X_12),X_8)),inverse(add(inverse(add(X_12,X_8)),X_42)))))) = inverse(add(inverse(X_12),X_8)),
inference(resolve,[$cnf( $equal(inverse(add(inverse(add(inverse(add(inverse(add(X_12,X_8)),X_42)),inverse(add(inverse(X_12),X_8)))),X_8)),inverse(add(inverse(X_12),X_8))) )],[refute_0_135,refute_0_856]) ).
cnf(refute_0_858,plain,
inverse(add(X_241,inverse(add(inverse(add(inverse(inverse(X_240)),X_241)),inverse(add(inverse(add(inverse(X_240),X_241)),X_240)))))) = inverse(add(inverse(inverse(X_240)),X_241)),
inference(subst,[],[refute_0_857:[bind(X_12,$fot(inverse(X_240))),bind(X_42,$fot(X_240)),bind(X_8,$fot(X_241))]]) ).
cnf(refute_0_859,plain,
inverse(inverse(add(X_205,add(X_206,X_205)))) = add(X_205,add(X_206,X_205)),
inference(subst,[],[refute_0_130:[bind(C,$fot(add(X_205,add(X_206,X_205))))]]) ).
cnf(refute_0_860,plain,
inverse(add(X_79,X_78)) = inverse(add(add(X_79,X_78),inverse(add(inverse(add(X_79,X_78)),inverse(add(inverse(add(X_80,X_79)),X_78)))))),
inference(subst,[],[refute_0_813:[bind(X_106,$fot(add(X_79,X_78))),bind(X_151,$fot(inverse(add(inverse(add(X_80,X_79)),X_78))))]]) ).
cnf(refute_0_861,plain,
( add(inverse(add(X_79,X_78)),inverse(add(inverse(add(X_80,X_79)),X_78))) != inverse(X_78)
| inverse(add(X_79,X_78)) != inverse(add(add(X_79,X_78),inverse(add(inverse(add(X_79,X_78)),inverse(add(inverse(add(X_80,X_79)),X_78))))))
| inverse(add(X_79,X_78)) = inverse(add(add(X_79,X_78),inverse(inverse(X_78)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(add(X_79,X_78)),inverse(add(add(X_79,X_78),inverse(add(inverse(add(X_79,X_78)),inverse(add(inverse(add(X_80,X_79)),X_78))))))) ),[1,0,1,0],$fot(inverse(X_78))]]) ).
cnf(refute_0_862,plain,
( inverse(add(X_79,X_78)) != inverse(add(add(X_79,X_78),inverse(add(inverse(add(X_79,X_78)),inverse(add(inverse(add(X_80,X_79)),X_78))))))
| inverse(add(X_79,X_78)) = inverse(add(add(X_79,X_78),inverse(inverse(X_78)))) ),
inference(resolve,[$cnf( $equal(add(inverse(add(X_79,X_78)),inverse(add(inverse(add(X_80,X_79)),X_78))),inverse(X_78)) )],[refute_0_496,refute_0_861]) ).
cnf(refute_0_863,plain,
inverse(add(X_79,X_78)) = inverse(add(add(X_79,X_78),inverse(inverse(X_78)))),
inference(resolve,[$cnf( $equal(inverse(add(X_79,X_78)),inverse(add(add(X_79,X_78),inverse(add(inverse(add(X_79,X_78)),inverse(add(inverse(add(X_80,X_79)),X_78))))))) )],[refute_0_860,refute_0_862]) ).
cnf(refute_0_864,plain,
add(inverse(inverse(X_78)),add(X_79,X_78)) = add(inverse(inverse(X_78)),add(X_79,X_78)),
introduced(tautology,[refl,[$fot(add(inverse(inverse(X_78)),add(X_79,X_78)))]]) ).
cnf(refute_0_865,plain,
( add(inverse(inverse(X_78)),add(X_79,X_78)) != add(inverse(inverse(X_78)),add(X_79,X_78))
| inverse(inverse(X_78)) != X_78
| add(inverse(inverse(X_78)),add(X_79,X_78)) = add(X_78,add(X_79,X_78)) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(inverse(X_78)),add(X_79,X_78)),add(inverse(inverse(X_78)),add(X_79,X_78))) ),[1,0],$fot(X_78)]]) ).
cnf(refute_0_866,plain,
( inverse(inverse(X_78)) != X_78
| add(inverse(inverse(X_78)),add(X_79,X_78)) = add(X_78,add(X_79,X_78)) ),
inference(resolve,[$cnf( $equal(add(inverse(inverse(X_78)),add(X_79,X_78)),add(inverse(inverse(X_78)),add(X_79,X_78))) )],[refute_0_864,refute_0_865]) ).
cnf(refute_0_867,plain,
add(inverse(inverse(X_78)),add(X_79,X_78)) = add(X_78,add(X_79,X_78)),
inference(resolve,[$cnf( $equal(inverse(inverse(X_78)),X_78) )],[refute_0_505,refute_0_866]) ).
cnf(refute_0_868,plain,
inverse(add(inverse(inverse(X_78)),add(X_79,X_78))) = inverse(add(inverse(inverse(X_78)),add(X_79,X_78))),
introduced(tautology,[refl,[$fot(inverse(add(inverse(inverse(X_78)),add(X_79,X_78))))]]) ).
cnf(refute_0_869,plain,
( add(inverse(inverse(X_78)),add(X_79,X_78)) != add(X_78,add(X_79,X_78))
| inverse(add(inverse(inverse(X_78)),add(X_79,X_78))) != inverse(add(inverse(inverse(X_78)),add(X_79,X_78)))
| inverse(add(inverse(inverse(X_78)),add(X_79,X_78))) = inverse(add(X_78,add(X_79,X_78))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(inverse(X_78)),add(X_79,X_78))),inverse(add(inverse(inverse(X_78)),add(X_79,X_78)))) ),[1,0],$fot(add(X_78,add(X_79,X_78)))]]) ).
cnf(refute_0_870,plain,
( add(inverse(inverse(X_78)),add(X_79,X_78)) != add(X_78,add(X_79,X_78))
| inverse(add(inverse(inverse(X_78)),add(X_79,X_78))) = inverse(add(X_78,add(X_79,X_78))) ),
inference(resolve,[$cnf( $equal(inverse(add(inverse(inverse(X_78)),add(X_79,X_78))),inverse(add(inverse(inverse(X_78)),add(X_79,X_78)))) )],[refute_0_868,refute_0_869]) ).
cnf(refute_0_871,plain,
inverse(add(inverse(inverse(X_78)),add(X_79,X_78))) = inverse(add(X_78,add(X_79,X_78))),
inference(resolve,[$cnf( $equal(add(inverse(inverse(X_78)),add(X_79,X_78)),add(X_78,add(X_79,X_78))) )],[refute_0_867,refute_0_870]) ).
cnf(refute_0_872,plain,
inverse(add(X_132,inverse(add(inverse(add(X_134,inverse(add(inverse(add(inverse(add(X_134,inverse(X_134))),X_114)),inverse(X_134))))),inverse(add(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136))))),inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133)))))))) = inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),
inference(subst,[],[refute_0_216:[bind(B,$fot(X_132)),bind(D,$fot(X_133)),bind(X_0,$fot(X_134)),bind(X_1,$fot(inverse(add(inverse(add(inverse(add(X_134,inverse(X_134))),X_114)),inverse(X_134))))),bind(X_3,$fot(X_136))]]) ).
cnf(refute_0_873,plain,
inverse(inverse(add(X_115,inverse(add(inverse(add(inverse(add(X_115,inverse(X_115))),X_114)),inverse(X_115)))))) = add(X_115,inverse(add(inverse(add(inverse(add(X_115,inverse(X_115))),X_114)),inverse(X_115)))),
inference(subst,[],[refute_0_130:[bind(C,$fot(add(X_115,inverse(add(inverse(add(inverse(add(X_115,inverse(X_115))),X_114)),inverse(X_115))))))]]) ).
cnf(refute_0_874,plain,
inverse(add(inverse(add(inverse(add(inverse(add(inverse(add(inverse(add(inverse(inverse(C)),X_5)),C)),X_4)),inverse(C))),C)),inverse(add(inverse(add(inverse(add(inverse(add(inverse(inverse(C)),X_5)),C)),X_4)),inverse(add(inverse(C),inverse(add(C,D)))))))) = C,
inference(subst,[],[dn1:[bind(A,$fot(inverse(add(inverse(add(inverse(add(inverse(inverse(C)),X_5)),C)),X_4)))),bind(B,$fot(inverse(C)))]]) ).
cnf(refute_0_875,plain,
inverse(add(inverse(add(inverse(add(inverse(add(inverse(add(inverse(inverse(C)),X_5)),C)),X_4)),inverse(C))),C)) = inverse(C),
inference(subst,[],[refute_0_5:[bind(B,$fot(X_4)),bind(X_1,$fot(X_5)),bind(X_2,$fot(C))]]) ).
cnf(refute_0_876,plain,
( inverse(add(inverse(add(inverse(add(inverse(add(inverse(add(inverse(add(inverse(inverse(C)),X_5)),C)),X_4)),inverse(C))),C)),inverse(add(inverse(add(inverse(add(inverse(add(inverse(inverse(C)),X_5)),C)),X_4)),inverse(add(inverse(C),inverse(add(C,D)))))))) != C
| inverse(add(inverse(add(inverse(add(inverse(add(inverse(add(inverse(inverse(C)),X_5)),C)),X_4)),inverse(C))),C)) != inverse(C)
| inverse(add(inverse(C),inverse(add(inverse(add(inverse(add(inverse(add(inverse(inverse(C)),X_5)),C)),X_4)),inverse(add(inverse(C),inverse(add(C,D)))))))) = C ),
introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(add(inverse(add(inverse(add(inverse(add(inverse(add(inverse(inverse(C)),X_5)),C)),X_4)),inverse(C))),C)),inverse(add(inverse(add(inverse(add(inverse(add(inverse(inverse(C)),X_5)),C)),X_4)),inverse(add(inverse(C),inverse(add(C,D)))))))),C) ),[0,0,0],$fot(inverse(C))]]) ).
cnf(refute_0_877,plain,
( inverse(add(inverse(add(inverse(add(inverse(add(inverse(add(inverse(add(inverse(inverse(C)),X_5)),C)),X_4)),inverse(C))),C)),inverse(add(inverse(add(inverse(add(inverse(add(inverse(inverse(C)),X_5)),C)),X_4)),inverse(add(inverse(C),inverse(add(C,D)))))))) != C
| inverse(add(inverse(C),inverse(add(inverse(add(inverse(add(inverse(add(inverse(inverse(C)),X_5)),C)),X_4)),inverse(add(inverse(C),inverse(add(C,D)))))))) = C ),
inference(resolve,[$cnf( $equal(inverse(add(inverse(add(inverse(add(inverse(add(inverse(add(inverse(inverse(C)),X_5)),C)),X_4)),inverse(C))),C)),inverse(C)) )],[refute_0_875,refute_0_876]) ).
cnf(refute_0_878,plain,
inverse(add(inverse(C),inverse(add(inverse(add(inverse(add(inverse(add(inverse(inverse(C)),X_5)),C)),X_4)),inverse(add(inverse(C),inverse(add(C,D)))))))) = C,
inference(resolve,[$cnf( $equal(inverse(add(inverse(add(inverse(add(inverse(add(inverse(add(inverse(add(inverse(inverse(C)),X_5)),C)),X_4)),inverse(C))),C)),inverse(add(inverse(add(inverse(add(inverse(add(inverse(inverse(C)),X_5)),C)),X_4)),inverse(add(inverse(C),inverse(add(C,D)))))))),C) )],[refute_0_874,refute_0_877]) ).
cnf(refute_0_879,plain,
inverse(add(inverse(C),inverse(add(inverse(add(inverse(add(inverse(add(inverse(inverse(C)),inverse(add(inverse(add(inverse(add(inverse(add(inverse(inverse(inverse(C))),X_25)),inverse(C))),X_24)),inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_23)))))))),C)),X_4)),inverse(add(inverse(C),inverse(add(C,D)))))))) = C,
inference(subst,[],[refute_0_878:[bind(X_5,$fot(inverse(add(inverse(add(inverse(add(inverse(add(inverse(inverse(inverse(C))),X_25)),inverse(C))),X_24)),inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_23))))))))]]) ).
cnf(refute_0_880,plain,
inverse(add(inverse(inverse(C)),inverse(add(inverse(add(inverse(add(inverse(add(inverse(inverse(inverse(C))),X_25)),inverse(C))),X_24)),inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_23)))))))) = inverse(C),
inference(subst,[],[refute_0_878:[bind(C,$fot(inverse(C))),bind(D,$fot(X_23)),bind(X_4,$fot(X_24)),bind(X_5,$fot(X_25))]]) ).
cnf(refute_0_881,plain,
( inverse(add(inverse(C),inverse(add(inverse(add(inverse(add(inverse(add(inverse(inverse(C)),inverse(add(inverse(add(inverse(add(inverse(add(inverse(inverse(inverse(C))),X_25)),inverse(C))),X_24)),inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_23)))))))),C)),X_4)),inverse(add(inverse(C),inverse(add(C,D)))))))) != C
| inverse(add(inverse(inverse(C)),inverse(add(inverse(add(inverse(add(inverse(add(inverse(inverse(inverse(C))),X_25)),inverse(C))),X_24)),inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_23)))))))) != inverse(C)
| inverse(add(inverse(C),inverse(add(inverse(add(inverse(add(inverse(C),C)),X_4)),inverse(add(inverse(C),inverse(add(C,D)))))))) = C ),
introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(C),inverse(add(inverse(add(inverse(add(inverse(add(inverse(inverse(C)),inverse(add(inverse(add(inverse(add(inverse(add(inverse(inverse(inverse(C))),X_25)),inverse(C))),X_24)),inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_23)))))))),C)),X_4)),inverse(add(inverse(C),inverse(add(C,D)))))))),C) ),[0,0,1,0,0,0,0,0,0],$fot(inverse(C))]]) ).
cnf(refute_0_882,plain,
( inverse(add(inverse(C),inverse(add(inverse(add(inverse(add(inverse(add(inverse(inverse(C)),inverse(add(inverse(add(inverse(add(inverse(add(inverse(inverse(inverse(C))),X_25)),inverse(C))),X_24)),inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_23)))))))),C)),X_4)),inverse(add(inverse(C),inverse(add(C,D)))))))) != C
| inverse(add(inverse(C),inverse(add(inverse(add(inverse(add(inverse(C),C)),X_4)),inverse(add(inverse(C),inverse(add(C,D)))))))) = C ),
inference(resolve,[$cnf( $equal(inverse(add(inverse(inverse(C)),inverse(add(inverse(add(inverse(add(inverse(add(inverse(inverse(inverse(C))),X_25)),inverse(C))),X_24)),inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_23)))))))),inverse(C)) )],[refute_0_880,refute_0_881]) ).
cnf(refute_0_883,plain,
inverse(add(inverse(C),inverse(add(inverse(add(inverse(add(inverse(C),C)),X_4)),inverse(add(inverse(C),inverse(add(C,D)))))))) = C,
inference(resolve,[$cnf( $equal(inverse(add(inverse(C),inverse(add(inverse(add(inverse(add(inverse(add(inverse(inverse(C)),inverse(add(inverse(add(inverse(add(inverse(add(inverse(inverse(inverse(C))),X_25)),inverse(C))),X_24)),inverse(add(inverse(inverse(C)),inverse(add(inverse(C),X_23)))))))),C)),X_4)),inverse(add(inverse(C),inverse(add(C,D)))))))),C) )],[refute_0_879,refute_0_882]) ).
cnf(refute_0_884,plain,
inverse(add(inverse(inverse(X_73)),inverse(add(inverse(add(inverse(add(inverse(inverse(X_73)),inverse(X_73))),X_4)),inverse(add(inverse(inverse(X_73)),inverse(add(inverse(X_73),inverse(add(inverse(add(inverse(add(inverse(X_73),X_73)),X_75)),inverse(add(inverse(X_73),inverse(add(X_73,X_74)))))))))))))) = inverse(X_73),
inference(subst,[],[refute_0_883:[bind(C,$fot(inverse(X_73))),bind(D,$fot(inverse(add(inverse(add(inverse(add(inverse(X_73),X_73)),X_75)),inverse(add(inverse(X_73),inverse(add(X_73,X_74))))))))]]) ).
cnf(refute_0_885,plain,
inverse(add(inverse(X_73),inverse(add(inverse(add(inverse(add(inverse(X_73),X_73)),X_75)),inverse(add(inverse(X_73),inverse(add(X_73,X_74)))))))) = X_73,
inference(subst,[],[refute_0_883:[bind(C,$fot(X_73)),bind(D,$fot(X_74)),bind(X_4,$fot(X_75))]]) ).
cnf(refute_0_886,plain,
( inverse(add(inverse(X_73),inverse(add(inverse(add(inverse(add(inverse(X_73),X_73)),X_75)),inverse(add(inverse(X_73),inverse(add(X_73,X_74)))))))) != X_73
| inverse(add(inverse(inverse(X_73)),inverse(add(inverse(add(inverse(add(inverse(inverse(X_73)),inverse(X_73))),X_4)),inverse(add(inverse(inverse(X_73)),inverse(add(inverse(X_73),inverse(add(inverse(add(inverse(add(inverse(X_73),X_73)),X_75)),inverse(add(inverse(X_73),inverse(add(X_73,X_74)))))))))))))) != inverse(X_73)
| inverse(add(inverse(inverse(X_73)),inverse(add(inverse(add(inverse(add(inverse(inverse(X_73)),inverse(X_73))),X_4)),inverse(add(inverse(inverse(X_73)),X_73)))))) = inverse(X_73) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(inverse(X_73)),inverse(add(inverse(add(inverse(add(inverse(inverse(X_73)),inverse(X_73))),X_4)),inverse(add(inverse(inverse(X_73)),inverse(add(inverse(X_73),inverse(add(inverse(add(inverse(add(inverse(X_73),X_73)),X_75)),inverse(add(inverse(X_73),inverse(add(X_73,X_74)))))))))))))),inverse(X_73)) ),[0,0,1,0,1,0,1],$fot(X_73)]]) ).
cnf(refute_0_887,plain,
( inverse(add(inverse(inverse(X_73)),inverse(add(inverse(add(inverse(add(inverse(inverse(X_73)),inverse(X_73))),X_4)),inverse(add(inverse(inverse(X_73)),inverse(add(inverse(X_73),inverse(add(inverse(add(inverse(add(inverse(X_73),X_73)),X_75)),inverse(add(inverse(X_73),inverse(add(X_73,X_74)))))))))))))) != inverse(X_73)
| inverse(add(inverse(inverse(X_73)),inverse(add(inverse(add(inverse(add(inverse(inverse(X_73)),inverse(X_73))),X_4)),inverse(add(inverse(inverse(X_73)),X_73)))))) = inverse(X_73) ),
inference(resolve,[$cnf( $equal(inverse(add(inverse(X_73),inverse(add(inverse(add(inverse(add(inverse(X_73),X_73)),X_75)),inverse(add(inverse(X_73),inverse(add(X_73,X_74)))))))),X_73) )],[refute_0_885,refute_0_886]) ).
cnf(refute_0_888,plain,
inverse(add(inverse(inverse(X_73)),inverse(add(inverse(add(inverse(add(inverse(inverse(X_73)),inverse(X_73))),X_4)),inverse(add(inverse(inverse(X_73)),X_73)))))) = inverse(X_73),
inference(resolve,[$cnf( $equal(inverse(add(inverse(inverse(X_73)),inverse(add(inverse(add(inverse(add(inverse(inverse(X_73)),inverse(X_73))),X_4)),inverse(add(inverse(inverse(X_73)),inverse(add(inverse(X_73),inverse(add(inverse(add(inverse(add(inverse(X_73),X_73)),X_75)),inverse(add(inverse(X_73),inverse(add(X_73,X_74)))))))))))))),inverse(X_73)) )],[refute_0_884,refute_0_887]) ).
cnf(refute_0_889,plain,
add(X_73,X_73) = X_73,
inference(subst,[],[refute_0_432:[bind(X_43,$fot(X_73))]]) ).
cnf(refute_0_890,plain,
inverse(inverse(X_73)) = X_73,
inference(subst,[],[refute_0_130:[bind(C,$fot(X_73))]]) ).
cnf(refute_0_891,plain,
add(inverse(inverse(X_73)),X_73) = add(inverse(inverse(X_73)),X_73),
introduced(tautology,[refl,[$fot(add(inverse(inverse(X_73)),X_73))]]) ).
cnf(refute_0_892,plain,
( add(inverse(inverse(X_73)),X_73) != add(inverse(inverse(X_73)),X_73)
| inverse(inverse(X_73)) != X_73
| add(inverse(inverse(X_73)),X_73) = add(X_73,X_73) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(inverse(X_73)),X_73),add(inverse(inverse(X_73)),X_73)) ),[1,0],$fot(X_73)]]) ).
cnf(refute_0_893,plain,
( inverse(inverse(X_73)) != X_73
| add(inverse(inverse(X_73)),X_73) = add(X_73,X_73) ),
inference(resolve,[$cnf( $equal(add(inverse(inverse(X_73)),X_73),add(inverse(inverse(X_73)),X_73)) )],[refute_0_891,refute_0_892]) ).
cnf(refute_0_894,plain,
add(inverse(inverse(X_73)),X_73) = add(X_73,X_73),
inference(resolve,[$cnf( $equal(inverse(inverse(X_73)),X_73) )],[refute_0_890,refute_0_893]) ).
cnf(refute_0_895,plain,
( add(X_73,X_73) != X_73
| add(inverse(inverse(X_73)),X_73) != add(X_73,X_73)
| add(inverse(inverse(X_73)),X_73) = X_73 ),
inference(subst,[],[refute_0_104:[bind(X,$fot(add(inverse(inverse(X_73)),X_73))),bind(Y,$fot(add(X_73,X_73))),bind(Z,$fot(X_73))]]) ).
cnf(refute_0_896,plain,
( add(X_73,X_73) != X_73
| add(inverse(inverse(X_73)),X_73) = X_73 ),
inference(resolve,[$cnf( $equal(add(inverse(inverse(X_73)),X_73),add(X_73,X_73)) )],[refute_0_894,refute_0_895]) ).
cnf(refute_0_897,plain,
add(inverse(inverse(X_73)),X_73) = X_73,
inference(resolve,[$cnf( $equal(add(X_73,X_73),X_73) )],[refute_0_889,refute_0_896]) ).
cnf(refute_0_898,plain,
inverse(add(inverse(inverse(X_73)),X_73)) = inverse(add(inverse(inverse(X_73)),X_73)),
introduced(tautology,[refl,[$fot(inverse(add(inverse(inverse(X_73)),X_73)))]]) ).
cnf(refute_0_899,plain,
( add(inverse(inverse(X_73)),X_73) != X_73
| inverse(add(inverse(inverse(X_73)),X_73)) != inverse(add(inverse(inverse(X_73)),X_73))
| inverse(add(inverse(inverse(X_73)),X_73)) = inverse(X_73) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(inverse(X_73)),X_73)),inverse(add(inverse(inverse(X_73)),X_73))) ),[1,0],$fot(X_73)]]) ).
cnf(refute_0_900,plain,
( add(inverse(inverse(X_73)),X_73) != X_73
| inverse(add(inverse(inverse(X_73)),X_73)) = inverse(X_73) ),
inference(resolve,[$cnf( $equal(inverse(add(inverse(inverse(X_73)),X_73)),inverse(add(inverse(inverse(X_73)),X_73))) )],[refute_0_898,refute_0_899]) ).
cnf(refute_0_901,plain,
inverse(add(inverse(inverse(X_73)),X_73)) = inverse(X_73),
inference(resolve,[$cnf( $equal(add(inverse(inverse(X_73)),X_73),X_73) )],[refute_0_897,refute_0_900]) ).
cnf(refute_0_902,plain,
add(inverse(add(inverse(add(X_73,inverse(X_73))),X_4)),inverse(add(inverse(inverse(X_73)),X_73))) = add(inverse(add(inverse(add(X_73,inverse(X_73))),X_4)),inverse(add(inverse(inverse(X_73)),X_73))),
introduced(tautology,[refl,[$fot(add(inverse(add(inverse(add(X_73,inverse(X_73))),X_4)),inverse(add(inverse(inverse(X_73)),X_73))))]]) ).
cnf(refute_0_903,plain,
( add(inverse(add(inverse(add(X_73,inverse(X_73))),X_4)),inverse(add(inverse(inverse(X_73)),X_73))) != add(inverse(add(inverse(add(X_73,inverse(X_73))),X_4)),inverse(add(inverse(inverse(X_73)),X_73)))
| inverse(add(inverse(inverse(X_73)),X_73)) != inverse(X_73)
| add(inverse(add(inverse(add(X_73,inverse(X_73))),X_4)),inverse(add(inverse(inverse(X_73)),X_73))) = add(inverse(add(inverse(add(X_73,inverse(X_73))),X_4)),inverse(X_73)) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(add(inverse(add(X_73,inverse(X_73))),X_4)),inverse(add(inverse(inverse(X_73)),X_73))),add(inverse(add(inverse(add(X_73,inverse(X_73))),X_4)),inverse(add(inverse(inverse(X_73)),X_73)))) ),[1,1],$fot(inverse(X_73))]]) ).
cnf(refute_0_904,plain,
( inverse(add(inverse(inverse(X_73)),X_73)) != inverse(X_73)
| add(inverse(add(inverse(add(X_73,inverse(X_73))),X_4)),inverse(add(inverse(inverse(X_73)),X_73))) = add(inverse(add(inverse(add(X_73,inverse(X_73))),X_4)),inverse(X_73)) ),
inference(resolve,[$cnf( $equal(add(inverse(add(inverse(add(X_73,inverse(X_73))),X_4)),inverse(add(inverse(inverse(X_73)),X_73))),add(inverse(add(inverse(add(X_73,inverse(X_73))),X_4)),inverse(add(inverse(inverse(X_73)),X_73)))) )],[refute_0_902,refute_0_903]) ).
cnf(refute_0_905,plain,
add(inverse(add(inverse(add(X_73,inverse(X_73))),X_4)),inverse(add(inverse(inverse(X_73)),X_73))) = add(inverse(add(inverse(add(X_73,inverse(X_73))),X_4)),inverse(X_73)),
inference(resolve,[$cnf( $equal(inverse(add(inverse(inverse(X_73)),X_73)),inverse(X_73)) )],[refute_0_901,refute_0_904]) ).
cnf(refute_0_906,plain,
add(inverse(inverse(X_73)),inverse(X_73)) = add(inverse(inverse(X_73)),inverse(X_73)),
introduced(tautology,[refl,[$fot(add(inverse(inverse(X_73)),inverse(X_73)))]]) ).
cnf(refute_0_907,plain,
( add(inverse(inverse(X_73)),inverse(X_73)) != add(inverse(inverse(X_73)),inverse(X_73))
| inverse(inverse(X_73)) != X_73
| add(inverse(inverse(X_73)),inverse(X_73)) = add(X_73,inverse(X_73)) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(inverse(X_73)),inverse(X_73)),add(inverse(inverse(X_73)),inverse(X_73))) ),[1,0],$fot(X_73)]]) ).
cnf(refute_0_908,plain,
( inverse(inverse(X_73)) != X_73
| add(inverse(inverse(X_73)),inverse(X_73)) = add(X_73,inverse(X_73)) ),
inference(resolve,[$cnf( $equal(add(inverse(inverse(X_73)),inverse(X_73)),add(inverse(inverse(X_73)),inverse(X_73))) )],[refute_0_906,refute_0_907]) ).
cnf(refute_0_909,plain,
add(inverse(inverse(X_73)),inverse(X_73)) = add(X_73,inverse(X_73)),
inference(resolve,[$cnf( $equal(inverse(inverse(X_73)),X_73) )],[refute_0_890,refute_0_908]) ).
cnf(refute_0_910,plain,
inverse(add(inverse(inverse(X_73)),inverse(X_73))) = inverse(add(inverse(inverse(X_73)),inverse(X_73))),
introduced(tautology,[refl,[$fot(inverse(add(inverse(inverse(X_73)),inverse(X_73))))]]) ).
cnf(refute_0_911,plain,
( add(inverse(inverse(X_73)),inverse(X_73)) != add(X_73,inverse(X_73))
| inverse(add(inverse(inverse(X_73)),inverse(X_73))) != inverse(add(inverse(inverse(X_73)),inverse(X_73)))
| inverse(add(inverse(inverse(X_73)),inverse(X_73))) = inverse(add(X_73,inverse(X_73))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(inverse(X_73)),inverse(X_73))),inverse(add(inverse(inverse(X_73)),inverse(X_73)))) ),[1,0],$fot(add(X_73,inverse(X_73)))]]) ).
cnf(refute_0_912,plain,
( add(inverse(inverse(X_73)),inverse(X_73)) != add(X_73,inverse(X_73))
| inverse(add(inverse(inverse(X_73)),inverse(X_73))) = inverse(add(X_73,inverse(X_73))) ),
inference(resolve,[$cnf( $equal(inverse(add(inverse(inverse(X_73)),inverse(X_73))),inverse(add(inverse(inverse(X_73)),inverse(X_73)))) )],[refute_0_910,refute_0_911]) ).
cnf(refute_0_913,plain,
inverse(add(inverse(inverse(X_73)),inverse(X_73))) = inverse(add(X_73,inverse(X_73))),
inference(resolve,[$cnf( $equal(add(inverse(inverse(X_73)),inverse(X_73)),add(X_73,inverse(X_73))) )],[refute_0_909,refute_0_912]) ).
cnf(refute_0_914,plain,
add(inverse(add(inverse(inverse(X_73)),inverse(X_73))),X_4) = add(inverse(add(inverse(inverse(X_73)),inverse(X_73))),X_4),
introduced(tautology,[refl,[$fot(add(inverse(add(inverse(inverse(X_73)),inverse(X_73))),X_4))]]) ).
cnf(refute_0_915,plain,
( add(inverse(add(inverse(inverse(X_73)),inverse(X_73))),X_4) != add(inverse(add(inverse(inverse(X_73)),inverse(X_73))),X_4)
| inverse(add(inverse(inverse(X_73)),inverse(X_73))) != inverse(add(X_73,inverse(X_73)))
| add(inverse(add(inverse(inverse(X_73)),inverse(X_73))),X_4) = add(inverse(add(X_73,inverse(X_73))),X_4) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(add(inverse(inverse(X_73)),inverse(X_73))),X_4),add(inverse(add(inverse(inverse(X_73)),inverse(X_73))),X_4)) ),[1,0],$fot(inverse(add(X_73,inverse(X_73))))]]) ).
cnf(refute_0_916,plain,
( inverse(add(inverse(inverse(X_73)),inverse(X_73))) != inverse(add(X_73,inverse(X_73)))
| add(inverse(add(inverse(inverse(X_73)),inverse(X_73))),X_4) = add(inverse(add(X_73,inverse(X_73))),X_4) ),
inference(resolve,[$cnf( $equal(add(inverse(add(inverse(inverse(X_73)),inverse(X_73))),X_4),add(inverse(add(inverse(inverse(X_73)),inverse(X_73))),X_4)) )],[refute_0_914,refute_0_915]) ).
cnf(refute_0_917,plain,
add(inverse(add(inverse(inverse(X_73)),inverse(X_73))),X_4) = add(inverse(add(X_73,inverse(X_73))),X_4),
inference(resolve,[$cnf( $equal(inverse(add(inverse(inverse(X_73)),inverse(X_73))),inverse(add(X_73,inverse(X_73)))) )],[refute_0_913,refute_0_916]) ).
cnf(refute_0_918,plain,
inverse(add(inverse(add(inverse(inverse(X_73)),inverse(X_73))),X_4)) = inverse(add(inverse(add(inverse(inverse(X_73)),inverse(X_73))),X_4)),
introduced(tautology,[refl,[$fot(inverse(add(inverse(add(inverse(inverse(X_73)),inverse(X_73))),X_4)))]]) ).
cnf(refute_0_919,plain,
( add(inverse(add(inverse(inverse(X_73)),inverse(X_73))),X_4) != add(inverse(add(X_73,inverse(X_73))),X_4)
| inverse(add(inverse(add(inverse(inverse(X_73)),inverse(X_73))),X_4)) != inverse(add(inverse(add(inverse(inverse(X_73)),inverse(X_73))),X_4))
| inverse(add(inverse(add(inverse(inverse(X_73)),inverse(X_73))),X_4)) = inverse(add(inverse(add(X_73,inverse(X_73))),X_4)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(add(inverse(inverse(X_73)),inverse(X_73))),X_4)),inverse(add(inverse(add(inverse(inverse(X_73)),inverse(X_73))),X_4))) ),[1,0],$fot(add(inverse(add(X_73,inverse(X_73))),X_4))]]) ).
cnf(refute_0_920,plain,
( add(inverse(add(inverse(inverse(X_73)),inverse(X_73))),X_4) != add(inverse(add(X_73,inverse(X_73))),X_4)
| inverse(add(inverse(add(inverse(inverse(X_73)),inverse(X_73))),X_4)) = inverse(add(inverse(add(X_73,inverse(X_73))),X_4)) ),
inference(resolve,[$cnf( $equal(inverse(add(inverse(add(inverse(inverse(X_73)),inverse(X_73))),X_4)),inverse(add(inverse(add(inverse(inverse(X_73)),inverse(X_73))),X_4))) )],[refute_0_918,refute_0_919]) ).
cnf(refute_0_921,plain,
inverse(add(inverse(add(inverse(inverse(X_73)),inverse(X_73))),X_4)) = inverse(add(inverse(add(X_73,inverse(X_73))),X_4)),
inference(resolve,[$cnf( $equal(add(inverse(add(inverse(inverse(X_73)),inverse(X_73))),X_4),add(inverse(add(X_73,inverse(X_73))),X_4)) )],[refute_0_917,refute_0_920]) ).
cnf(refute_0_922,plain,
add(inverse(add(inverse(add(inverse(inverse(X_73)),inverse(X_73))),X_4)),inverse(add(inverse(inverse(X_73)),X_73))) = add(inverse(add(inverse(add(inverse(inverse(X_73)),inverse(X_73))),X_4)),inverse(add(inverse(inverse(X_73)),X_73))),
introduced(tautology,[refl,[$fot(add(inverse(add(inverse(add(inverse(inverse(X_73)),inverse(X_73))),X_4)),inverse(add(inverse(inverse(X_73)),X_73))))]]) ).
cnf(refute_0_923,plain,
( add(inverse(add(inverse(add(inverse(inverse(X_73)),inverse(X_73))),X_4)),inverse(add(inverse(inverse(X_73)),X_73))) != add(inverse(add(inverse(add(inverse(inverse(X_73)),inverse(X_73))),X_4)),inverse(add(inverse(inverse(X_73)),X_73)))
| inverse(add(inverse(add(inverse(inverse(X_73)),inverse(X_73))),X_4)) != inverse(add(inverse(add(X_73,inverse(X_73))),X_4))
| add(inverse(add(inverse(add(inverse(inverse(X_73)),inverse(X_73))),X_4)),inverse(add(inverse(inverse(X_73)),X_73))) = add(inverse(add(inverse(add(X_73,inverse(X_73))),X_4)),inverse(add(inverse(inverse(X_73)),X_73))) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(add(inverse(add(inverse(inverse(X_73)),inverse(X_73))),X_4)),inverse(add(inverse(inverse(X_73)),X_73))),add(inverse(add(inverse(add(inverse(inverse(X_73)),inverse(X_73))),X_4)),inverse(add(inverse(inverse(X_73)),X_73)))) ),[1,0],$fot(inverse(add(inverse(add(X_73,inverse(X_73))),X_4)))]]) ).
cnf(refute_0_924,plain,
( inverse(add(inverse(add(inverse(inverse(X_73)),inverse(X_73))),X_4)) != inverse(add(inverse(add(X_73,inverse(X_73))),X_4))
| add(inverse(add(inverse(add(inverse(inverse(X_73)),inverse(X_73))),X_4)),inverse(add(inverse(inverse(X_73)),X_73))) = add(inverse(add(inverse(add(X_73,inverse(X_73))),X_4)),inverse(add(inverse(inverse(X_73)),X_73))) ),
inference(resolve,[$cnf( $equal(add(inverse(add(inverse(add(inverse(inverse(X_73)),inverse(X_73))),X_4)),inverse(add(inverse(inverse(X_73)),X_73))),add(inverse(add(inverse(add(inverse(inverse(X_73)),inverse(X_73))),X_4)),inverse(add(inverse(inverse(X_73)),X_73)))) )],[refute_0_922,refute_0_923]) ).
cnf(refute_0_925,plain,
add(inverse(add(inverse(add(inverse(inverse(X_73)),inverse(X_73))),X_4)),inverse(add(inverse(inverse(X_73)),X_73))) = add(inverse(add(inverse(add(X_73,inverse(X_73))),X_4)),inverse(add(inverse(inverse(X_73)),X_73))),
inference(resolve,[$cnf( $equal(inverse(add(inverse(add(inverse(inverse(X_73)),inverse(X_73))),X_4)),inverse(add(inverse(add(X_73,inverse(X_73))),X_4))) )],[refute_0_921,refute_0_924]) ).
cnf(refute_0_926,plain,
( add(inverse(add(inverse(add(X_73,inverse(X_73))),X_4)),inverse(add(inverse(inverse(X_73)),X_73))) != add(inverse(add(inverse(add(X_73,inverse(X_73))),X_4)),inverse(X_73))
| add(inverse(add(inverse(add(inverse(inverse(X_73)),inverse(X_73))),X_4)),inverse(add(inverse(inverse(X_73)),X_73))) != add(inverse(add(inverse(add(X_73,inverse(X_73))),X_4)),inverse(add(inverse(inverse(X_73)),X_73)))
| add(inverse(add(inverse(add(inverse(inverse(X_73)),inverse(X_73))),X_4)),inverse(add(inverse(inverse(X_73)),X_73))) = add(inverse(add(inverse(add(X_73,inverse(X_73))),X_4)),inverse(X_73)) ),
inference(subst,[],[refute_0_104:[bind(X,$fot(add(inverse(add(inverse(add(inverse(inverse(X_73)),inverse(X_73))),X_4)),inverse(add(inverse(inverse(X_73)),X_73))))),bind(Y,$fot(add(inverse(add(inverse(add(X_73,inverse(X_73))),X_4)),inverse(add(inverse(inverse(X_73)),X_73))))),bind(Z,$fot(add(inverse(add(inverse(add(X_73,inverse(X_73))),X_4)),inverse(X_73))))]]) ).
cnf(refute_0_927,plain,
( add(inverse(add(inverse(add(X_73,inverse(X_73))),X_4)),inverse(add(inverse(inverse(X_73)),X_73))) != add(inverse(add(inverse(add(X_73,inverse(X_73))),X_4)),inverse(X_73))
| add(inverse(add(inverse(add(inverse(inverse(X_73)),inverse(X_73))),X_4)),inverse(add(inverse(inverse(X_73)),X_73))) = add(inverse(add(inverse(add(X_73,inverse(X_73))),X_4)),inverse(X_73)) ),
inference(resolve,[$cnf( $equal(add(inverse(add(inverse(add(inverse(inverse(X_73)),inverse(X_73))),X_4)),inverse(add(inverse(inverse(X_73)),X_73))),add(inverse(add(inverse(add(X_73,inverse(X_73))),X_4)),inverse(add(inverse(inverse(X_73)),X_73)))) )],[refute_0_925,refute_0_926]) ).
cnf(refute_0_928,plain,
add(inverse(add(inverse(add(inverse(inverse(X_73)),inverse(X_73))),X_4)),inverse(add(inverse(inverse(X_73)),X_73))) = add(inverse(add(inverse(add(X_73,inverse(X_73))),X_4)),inverse(X_73)),
inference(resolve,[$cnf( $equal(add(inverse(add(inverse(add(X_73,inverse(X_73))),X_4)),inverse(add(inverse(inverse(X_73)),X_73))),add(inverse(add(inverse(add(X_73,inverse(X_73))),X_4)),inverse(X_73))) )],[refute_0_905,refute_0_927]) ).
cnf(refute_0_929,plain,
inverse(add(inverse(add(inverse(add(inverse(inverse(X_73)),inverse(X_73))),X_4)),inverse(add(inverse(inverse(X_73)),X_73)))) = inverse(add(inverse(add(inverse(add(inverse(inverse(X_73)),inverse(X_73))),X_4)),inverse(add(inverse(inverse(X_73)),X_73)))),
introduced(tautology,[refl,[$fot(inverse(add(inverse(add(inverse(add(inverse(inverse(X_73)),inverse(X_73))),X_4)),inverse(add(inverse(inverse(X_73)),X_73)))))]]) ).
cnf(refute_0_930,plain,
( add(inverse(add(inverse(add(inverse(inverse(X_73)),inverse(X_73))),X_4)),inverse(add(inverse(inverse(X_73)),X_73))) != add(inverse(add(inverse(add(X_73,inverse(X_73))),X_4)),inverse(X_73))
| inverse(add(inverse(add(inverse(add(inverse(inverse(X_73)),inverse(X_73))),X_4)),inverse(add(inverse(inverse(X_73)),X_73)))) != inverse(add(inverse(add(inverse(add(inverse(inverse(X_73)),inverse(X_73))),X_4)),inverse(add(inverse(inverse(X_73)),X_73))))
| inverse(add(inverse(add(inverse(add(inverse(inverse(X_73)),inverse(X_73))),X_4)),inverse(add(inverse(inverse(X_73)),X_73)))) = inverse(add(inverse(add(inverse(add(X_73,inverse(X_73))),X_4)),inverse(X_73))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(add(inverse(add(inverse(inverse(X_73)),inverse(X_73))),X_4)),inverse(add(inverse(inverse(X_73)),X_73)))),inverse(add(inverse(add(inverse(add(inverse(inverse(X_73)),inverse(X_73))),X_4)),inverse(add(inverse(inverse(X_73)),X_73))))) ),[1,0],$fot(add(inverse(add(inverse(add(X_73,inverse(X_73))),X_4)),inverse(X_73)))]]) ).
cnf(refute_0_931,plain,
( add(inverse(add(inverse(add(inverse(inverse(X_73)),inverse(X_73))),X_4)),inverse(add(inverse(inverse(X_73)),X_73))) != add(inverse(add(inverse(add(X_73,inverse(X_73))),X_4)),inverse(X_73))
| inverse(add(inverse(add(inverse(add(inverse(inverse(X_73)),inverse(X_73))),X_4)),inverse(add(inverse(inverse(X_73)),X_73)))) = inverse(add(inverse(add(inverse(add(X_73,inverse(X_73))),X_4)),inverse(X_73))) ),
inference(resolve,[$cnf( $equal(inverse(add(inverse(add(inverse(add(inverse(inverse(X_73)),inverse(X_73))),X_4)),inverse(add(inverse(inverse(X_73)),X_73)))),inverse(add(inverse(add(inverse(add(inverse(inverse(X_73)),inverse(X_73))),X_4)),inverse(add(inverse(inverse(X_73)),X_73))))) )],[refute_0_929,refute_0_930]) ).
cnf(refute_0_932,plain,
inverse(add(inverse(add(inverse(add(inverse(inverse(X_73)),inverse(X_73))),X_4)),inverse(add(inverse(inverse(X_73)),X_73)))) = inverse(add(inverse(add(inverse(add(X_73,inverse(X_73))),X_4)),inverse(X_73))),
inference(resolve,[$cnf( $equal(add(inverse(add(inverse(add(inverse(inverse(X_73)),inverse(X_73))),X_4)),inverse(add(inverse(inverse(X_73)),X_73))),add(inverse(add(inverse(add(X_73,inverse(X_73))),X_4)),inverse(X_73))) )],[refute_0_928,refute_0_931]) ).
cnf(refute_0_933,plain,
add(X_73,inverse(add(inverse(add(inverse(add(inverse(inverse(X_73)),inverse(X_73))),X_4)),inverse(add(inverse(inverse(X_73)),X_73))))) = add(X_73,inverse(add(inverse(add(inverse(add(inverse(inverse(X_73)),inverse(X_73))),X_4)),inverse(add(inverse(inverse(X_73)),X_73))))),
introduced(tautology,[refl,[$fot(add(X_73,inverse(add(inverse(add(inverse(add(inverse(inverse(X_73)),inverse(X_73))),X_4)),inverse(add(inverse(inverse(X_73)),X_73))))))]]) ).
cnf(refute_0_934,plain,
( add(X_73,inverse(add(inverse(add(inverse(add(inverse(inverse(X_73)),inverse(X_73))),X_4)),inverse(add(inverse(inverse(X_73)),X_73))))) != add(X_73,inverse(add(inverse(add(inverse(add(inverse(inverse(X_73)),inverse(X_73))),X_4)),inverse(add(inverse(inverse(X_73)),X_73)))))
| inverse(add(inverse(add(inverse(add(inverse(inverse(X_73)),inverse(X_73))),X_4)),inverse(add(inverse(inverse(X_73)),X_73)))) != inverse(add(inverse(add(inverse(add(X_73,inverse(X_73))),X_4)),inverse(X_73)))
| add(X_73,inverse(add(inverse(add(inverse(add(inverse(inverse(X_73)),inverse(X_73))),X_4)),inverse(add(inverse(inverse(X_73)),X_73))))) = add(X_73,inverse(add(inverse(add(inverse(add(X_73,inverse(X_73))),X_4)),inverse(X_73)))) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_73,inverse(add(inverse(add(inverse(add(inverse(inverse(X_73)),inverse(X_73))),X_4)),inverse(add(inverse(inverse(X_73)),X_73))))),add(X_73,inverse(add(inverse(add(inverse(add(inverse(inverse(X_73)),inverse(X_73))),X_4)),inverse(add(inverse(inverse(X_73)),X_73)))))) ),[1,1],$fot(inverse(add(inverse(add(inverse(add(X_73,inverse(X_73))),X_4)),inverse(X_73))))]]) ).
cnf(refute_0_935,plain,
( inverse(add(inverse(add(inverse(add(inverse(inverse(X_73)),inverse(X_73))),X_4)),inverse(add(inverse(inverse(X_73)),X_73)))) != inverse(add(inverse(add(inverse(add(X_73,inverse(X_73))),X_4)),inverse(X_73)))
| add(X_73,inverse(add(inverse(add(inverse(add(inverse(inverse(X_73)),inverse(X_73))),X_4)),inverse(add(inverse(inverse(X_73)),X_73))))) = add(X_73,inverse(add(inverse(add(inverse(add(X_73,inverse(X_73))),X_4)),inverse(X_73)))) ),
inference(resolve,[$cnf( $equal(add(X_73,inverse(add(inverse(add(inverse(add(inverse(inverse(X_73)),inverse(X_73))),X_4)),inverse(add(inverse(inverse(X_73)),X_73))))),add(X_73,inverse(add(inverse(add(inverse(add(inverse(inverse(X_73)),inverse(X_73))),X_4)),inverse(add(inverse(inverse(X_73)),X_73)))))) )],[refute_0_933,refute_0_934]) ).
cnf(refute_0_936,plain,
add(X_73,inverse(add(inverse(add(inverse(add(inverse(inverse(X_73)),inverse(X_73))),X_4)),inverse(add(inverse(inverse(X_73)),X_73))))) = add(X_73,inverse(add(inverse(add(inverse(add(X_73,inverse(X_73))),X_4)),inverse(X_73)))),
inference(resolve,[$cnf( $equal(inverse(add(inverse(add(inverse(add(inverse(inverse(X_73)),inverse(X_73))),X_4)),inverse(add(inverse(inverse(X_73)),X_73)))),inverse(add(inverse(add(inverse(add(X_73,inverse(X_73))),X_4)),inverse(X_73)))) )],[refute_0_932,refute_0_935]) ).
cnf(refute_0_937,plain,
add(inverse(inverse(X_73)),inverse(add(inverse(add(inverse(add(inverse(inverse(X_73)),inverse(X_73))),X_4)),inverse(add(inverse(inverse(X_73)),X_73))))) = add(inverse(inverse(X_73)),inverse(add(inverse(add(inverse(add(inverse(inverse(X_73)),inverse(X_73))),X_4)),inverse(add(inverse(inverse(X_73)),X_73))))),
introduced(tautology,[refl,[$fot(add(inverse(inverse(X_73)),inverse(add(inverse(add(inverse(add(inverse(inverse(X_73)),inverse(X_73))),X_4)),inverse(add(inverse(inverse(X_73)),X_73))))))]]) ).
cnf(refute_0_938,plain,
( add(inverse(inverse(X_73)),inverse(add(inverse(add(inverse(add(inverse(inverse(X_73)),inverse(X_73))),X_4)),inverse(add(inverse(inverse(X_73)),X_73))))) != add(inverse(inverse(X_73)),inverse(add(inverse(add(inverse(add(inverse(inverse(X_73)),inverse(X_73))),X_4)),inverse(add(inverse(inverse(X_73)),X_73)))))
| inverse(inverse(X_73)) != X_73
| add(inverse(inverse(X_73)),inverse(add(inverse(add(inverse(add(inverse(inverse(X_73)),inverse(X_73))),X_4)),inverse(add(inverse(inverse(X_73)),X_73))))) = add(X_73,inverse(add(inverse(add(inverse(add(inverse(inverse(X_73)),inverse(X_73))),X_4)),inverse(add(inverse(inverse(X_73)),X_73))))) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(inverse(X_73)),inverse(add(inverse(add(inverse(add(inverse(inverse(X_73)),inverse(X_73))),X_4)),inverse(add(inverse(inverse(X_73)),X_73))))),add(inverse(inverse(X_73)),inverse(add(inverse(add(inverse(add(inverse(inverse(X_73)),inverse(X_73))),X_4)),inverse(add(inverse(inverse(X_73)),X_73)))))) ),[1,0],$fot(X_73)]]) ).
cnf(refute_0_939,plain,
( inverse(inverse(X_73)) != X_73
| add(inverse(inverse(X_73)),inverse(add(inverse(add(inverse(add(inverse(inverse(X_73)),inverse(X_73))),X_4)),inverse(add(inverse(inverse(X_73)),X_73))))) = add(X_73,inverse(add(inverse(add(inverse(add(inverse(inverse(X_73)),inverse(X_73))),X_4)),inverse(add(inverse(inverse(X_73)),X_73))))) ),
inference(resolve,[$cnf( $equal(add(inverse(inverse(X_73)),inverse(add(inverse(add(inverse(add(inverse(inverse(X_73)),inverse(X_73))),X_4)),inverse(add(inverse(inverse(X_73)),X_73))))),add(inverse(inverse(X_73)),inverse(add(inverse(add(inverse(add(inverse(inverse(X_73)),inverse(X_73))),X_4)),inverse(add(inverse(inverse(X_73)),X_73)))))) )],[refute_0_937,refute_0_938]) ).
cnf(refute_0_940,plain,
add(inverse(inverse(X_73)),inverse(add(inverse(add(inverse(add(inverse(inverse(X_73)),inverse(X_73))),X_4)),inverse(add(inverse(inverse(X_73)),X_73))))) = add(X_73,inverse(add(inverse(add(inverse(add(inverse(inverse(X_73)),inverse(X_73))),X_4)),inverse(add(inverse(inverse(X_73)),X_73))))),
inference(resolve,[$cnf( $equal(inverse(inverse(X_73)),X_73) )],[refute_0_890,refute_0_939]) ).
cnf(refute_0_941,plain,
( add(X_73,inverse(add(inverse(add(inverse(add(inverse(inverse(X_73)),inverse(X_73))),X_4)),inverse(add(inverse(inverse(X_73)),X_73))))) != add(X_73,inverse(add(inverse(add(inverse(add(X_73,inverse(X_73))),X_4)),inverse(X_73))))
| add(inverse(inverse(X_73)),inverse(add(inverse(add(inverse(add(inverse(inverse(X_73)),inverse(X_73))),X_4)),inverse(add(inverse(inverse(X_73)),X_73))))) != add(X_73,inverse(add(inverse(add(inverse(add(inverse(inverse(X_73)),inverse(X_73))),X_4)),inverse(add(inverse(inverse(X_73)),X_73)))))
| add(inverse(inverse(X_73)),inverse(add(inverse(add(inverse(add(inverse(inverse(X_73)),inverse(X_73))),X_4)),inverse(add(inverse(inverse(X_73)),X_73))))) = add(X_73,inverse(add(inverse(add(inverse(add(X_73,inverse(X_73))),X_4)),inverse(X_73)))) ),
inference(subst,[],[refute_0_104:[bind(X,$fot(add(inverse(inverse(X_73)),inverse(add(inverse(add(inverse(add(inverse(inverse(X_73)),inverse(X_73))),X_4)),inverse(add(inverse(inverse(X_73)),X_73))))))),bind(Y,$fot(add(X_73,inverse(add(inverse(add(inverse(add(inverse(inverse(X_73)),inverse(X_73))),X_4)),inverse(add(inverse(inverse(X_73)),X_73))))))),bind(Z,$fot(add(X_73,inverse(add(inverse(add(inverse(add(X_73,inverse(X_73))),X_4)),inverse(X_73))))))]]) ).
cnf(refute_0_942,plain,
( add(X_73,inverse(add(inverse(add(inverse(add(inverse(inverse(X_73)),inverse(X_73))),X_4)),inverse(add(inverse(inverse(X_73)),X_73))))) != add(X_73,inverse(add(inverse(add(inverse(add(X_73,inverse(X_73))),X_4)),inverse(X_73))))
| add(inverse(inverse(X_73)),inverse(add(inverse(add(inverse(add(inverse(inverse(X_73)),inverse(X_73))),X_4)),inverse(add(inverse(inverse(X_73)),X_73))))) = add(X_73,inverse(add(inverse(add(inverse(add(X_73,inverse(X_73))),X_4)),inverse(X_73)))) ),
inference(resolve,[$cnf( $equal(add(inverse(inverse(X_73)),inverse(add(inverse(add(inverse(add(inverse(inverse(X_73)),inverse(X_73))),X_4)),inverse(add(inverse(inverse(X_73)),X_73))))),add(X_73,inverse(add(inverse(add(inverse(add(inverse(inverse(X_73)),inverse(X_73))),X_4)),inverse(add(inverse(inverse(X_73)),X_73)))))) )],[refute_0_940,refute_0_941]) ).
cnf(refute_0_943,plain,
add(inverse(inverse(X_73)),inverse(add(inverse(add(inverse(add(inverse(inverse(X_73)),inverse(X_73))),X_4)),inverse(add(inverse(inverse(X_73)),X_73))))) = add(X_73,inverse(add(inverse(add(inverse(add(X_73,inverse(X_73))),X_4)),inverse(X_73)))),
inference(resolve,[$cnf( $equal(add(X_73,inverse(add(inverse(add(inverse(add(inverse(inverse(X_73)),inverse(X_73))),X_4)),inverse(add(inverse(inverse(X_73)),X_73))))),add(X_73,inverse(add(inverse(add(inverse(add(X_73,inverse(X_73))),X_4)),inverse(X_73))))) )],[refute_0_936,refute_0_942]) ).
cnf(refute_0_944,plain,
inverse(add(inverse(inverse(X_73)),inverse(add(inverse(add(inverse(add(inverse(inverse(X_73)),inverse(X_73))),X_4)),inverse(add(inverse(inverse(X_73)),X_73)))))) = inverse(add(inverse(inverse(X_73)),inverse(add(inverse(add(inverse(add(inverse(inverse(X_73)),inverse(X_73))),X_4)),inverse(add(inverse(inverse(X_73)),X_73)))))),
introduced(tautology,[refl,[$fot(inverse(add(inverse(inverse(X_73)),inverse(add(inverse(add(inverse(add(inverse(inverse(X_73)),inverse(X_73))),X_4)),inverse(add(inverse(inverse(X_73)),X_73)))))))]]) ).
cnf(refute_0_945,plain,
( add(inverse(inverse(X_73)),inverse(add(inverse(add(inverse(add(inverse(inverse(X_73)),inverse(X_73))),X_4)),inverse(add(inverse(inverse(X_73)),X_73))))) != add(X_73,inverse(add(inverse(add(inverse(add(X_73,inverse(X_73))),X_4)),inverse(X_73))))
| inverse(add(inverse(inverse(X_73)),inverse(add(inverse(add(inverse(add(inverse(inverse(X_73)),inverse(X_73))),X_4)),inverse(add(inverse(inverse(X_73)),X_73)))))) != inverse(add(inverse(inverse(X_73)),inverse(add(inverse(add(inverse(add(inverse(inverse(X_73)),inverse(X_73))),X_4)),inverse(add(inverse(inverse(X_73)),X_73))))))
| inverse(add(inverse(inverse(X_73)),inverse(add(inverse(add(inverse(add(inverse(inverse(X_73)),inverse(X_73))),X_4)),inverse(add(inverse(inverse(X_73)),X_73)))))) = inverse(add(X_73,inverse(add(inverse(add(inverse(add(X_73,inverse(X_73))),X_4)),inverse(X_73))))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(inverse(X_73)),inverse(add(inverse(add(inverse(add(inverse(inverse(X_73)),inverse(X_73))),X_4)),inverse(add(inverse(inverse(X_73)),X_73)))))),inverse(add(inverse(inverse(X_73)),inverse(add(inverse(add(inverse(add(inverse(inverse(X_73)),inverse(X_73))),X_4)),inverse(add(inverse(inverse(X_73)),X_73))))))) ),[1,0],$fot(add(X_73,inverse(add(inverse(add(inverse(add(X_73,inverse(X_73))),X_4)),inverse(X_73)))))]]) ).
cnf(refute_0_946,plain,
( add(inverse(inverse(X_73)),inverse(add(inverse(add(inverse(add(inverse(inverse(X_73)),inverse(X_73))),X_4)),inverse(add(inverse(inverse(X_73)),X_73))))) != add(X_73,inverse(add(inverse(add(inverse(add(X_73,inverse(X_73))),X_4)),inverse(X_73))))
| inverse(add(inverse(inverse(X_73)),inverse(add(inverse(add(inverse(add(inverse(inverse(X_73)),inverse(X_73))),X_4)),inverse(add(inverse(inverse(X_73)),X_73)))))) = inverse(add(X_73,inverse(add(inverse(add(inverse(add(X_73,inverse(X_73))),X_4)),inverse(X_73))))) ),
inference(resolve,[$cnf( $equal(inverse(add(inverse(inverse(X_73)),inverse(add(inverse(add(inverse(add(inverse(inverse(X_73)),inverse(X_73))),X_4)),inverse(add(inverse(inverse(X_73)),X_73)))))),inverse(add(inverse(inverse(X_73)),inverse(add(inverse(add(inverse(add(inverse(inverse(X_73)),inverse(X_73))),X_4)),inverse(add(inverse(inverse(X_73)),X_73))))))) )],[refute_0_944,refute_0_945]) ).
cnf(refute_0_947,plain,
inverse(add(inverse(inverse(X_73)),inverse(add(inverse(add(inverse(add(inverse(inverse(X_73)),inverse(X_73))),X_4)),inverse(add(inverse(inverse(X_73)),X_73)))))) = inverse(add(X_73,inverse(add(inverse(add(inverse(add(X_73,inverse(X_73))),X_4)),inverse(X_73))))),
inference(resolve,[$cnf( $equal(add(inverse(inverse(X_73)),inverse(add(inverse(add(inverse(add(inverse(inverse(X_73)),inverse(X_73))),X_4)),inverse(add(inverse(inverse(X_73)),X_73))))),add(X_73,inverse(add(inverse(add(inverse(add(X_73,inverse(X_73))),X_4)),inverse(X_73))))) )],[refute_0_943,refute_0_946]) ).
cnf(refute_0_948,plain,
( inverse(add(inverse(inverse(X_73)),inverse(add(inverse(add(inverse(add(inverse(inverse(X_73)),inverse(X_73))),X_4)),inverse(add(inverse(inverse(X_73)),X_73)))))) != inverse(X_73)
| inverse(add(inverse(inverse(X_73)),inverse(add(inverse(add(inverse(add(inverse(inverse(X_73)),inverse(X_73))),X_4)),inverse(add(inverse(inverse(X_73)),X_73)))))) != inverse(add(X_73,inverse(add(inverse(add(inverse(add(X_73,inverse(X_73))),X_4)),inverse(X_73)))))
| inverse(add(X_73,inverse(add(inverse(add(inverse(add(X_73,inverse(X_73))),X_4)),inverse(X_73))))) = inverse(X_73) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(inverse(X_73)),inverse(add(inverse(add(inverse(add(inverse(inverse(X_73)),inverse(X_73))),X_4)),inverse(add(inverse(inverse(X_73)),X_73)))))),inverse(X_73)) ),[0],$fot(inverse(add(X_73,inverse(add(inverse(add(inverse(add(X_73,inverse(X_73))),X_4)),inverse(X_73))))))]]) ).
cnf(refute_0_949,plain,
( inverse(add(inverse(inverse(X_73)),inverse(add(inverse(add(inverse(add(inverse(inverse(X_73)),inverse(X_73))),X_4)),inverse(add(inverse(inverse(X_73)),X_73)))))) != inverse(X_73)
| inverse(add(X_73,inverse(add(inverse(add(inverse(add(X_73,inverse(X_73))),X_4)),inverse(X_73))))) = inverse(X_73) ),
inference(resolve,[$cnf( $equal(inverse(add(inverse(inverse(X_73)),inverse(add(inverse(add(inverse(add(inverse(inverse(X_73)),inverse(X_73))),X_4)),inverse(add(inverse(inverse(X_73)),X_73)))))),inverse(add(X_73,inverse(add(inverse(add(inverse(add(X_73,inverse(X_73))),X_4)),inverse(X_73)))))) )],[refute_0_947,refute_0_948]) ).
cnf(refute_0_950,plain,
inverse(add(X_73,inverse(add(inverse(add(inverse(add(X_73,inverse(X_73))),X_4)),inverse(X_73))))) = inverse(X_73),
inference(resolve,[$cnf( $equal(inverse(add(inverse(inverse(X_73)),inverse(add(inverse(add(inverse(add(inverse(inverse(X_73)),inverse(X_73))),X_4)),inverse(add(inverse(inverse(X_73)),X_73)))))),inverse(X_73)) )],[refute_0_888,refute_0_949]) ).
cnf(refute_0_951,plain,
inverse(add(X_115,inverse(add(inverse(add(inverse(add(X_115,inverse(X_115))),X_114)),inverse(X_115))))) = inverse(X_115),
inference(subst,[],[refute_0_950:[bind(X_4,$fot(X_114)),bind(X_73,$fot(X_115))]]) ).
cnf(refute_0_952,plain,
( inverse(add(X_115,inverse(add(inverse(add(inverse(add(X_115,inverse(X_115))),X_114)),inverse(X_115))))) != inverse(X_115)
| inverse(inverse(add(X_115,inverse(add(inverse(add(inverse(add(X_115,inverse(X_115))),X_114)),inverse(X_115)))))) != add(X_115,inverse(add(inverse(add(inverse(add(X_115,inverse(X_115))),X_114)),inverse(X_115))))
| inverse(inverse(X_115)) = add(X_115,inverse(add(inverse(add(inverse(add(X_115,inverse(X_115))),X_114)),inverse(X_115)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(add(X_115,inverse(add(inverse(add(inverse(add(X_115,inverse(X_115))),X_114)),inverse(X_115)))))),add(X_115,inverse(add(inverse(add(inverse(add(X_115,inverse(X_115))),X_114)),inverse(X_115))))) ),[0,0],$fot(inverse(X_115))]]) ).
cnf(refute_0_953,plain,
( inverse(inverse(add(X_115,inverse(add(inverse(add(inverse(add(X_115,inverse(X_115))),X_114)),inverse(X_115)))))) != add(X_115,inverse(add(inverse(add(inverse(add(X_115,inverse(X_115))),X_114)),inverse(X_115))))
| inverse(inverse(X_115)) = add(X_115,inverse(add(inverse(add(inverse(add(X_115,inverse(X_115))),X_114)),inverse(X_115)))) ),
inference(resolve,[$cnf( $equal(inverse(add(X_115,inverse(add(inverse(add(inverse(add(X_115,inverse(X_115))),X_114)),inverse(X_115))))),inverse(X_115)) )],[refute_0_951,refute_0_952]) ).
cnf(refute_0_954,plain,
inverse(inverse(X_115)) = add(X_115,inverse(add(inverse(add(inverse(add(X_115,inverse(X_115))),X_114)),inverse(X_115)))),
inference(resolve,[$cnf( $equal(inverse(inverse(add(X_115,inverse(add(inverse(add(inverse(add(X_115,inverse(X_115))),X_114)),inverse(X_115)))))),add(X_115,inverse(add(inverse(add(inverse(add(X_115,inverse(X_115))),X_114)),inverse(X_115))))) )],[refute_0_873,refute_0_953]) ).
cnf(refute_0_955,plain,
inverse(inverse(X_115)) = X_115,
inference(subst,[],[refute_0_130:[bind(C,$fot(X_115))]]) ).
cnf(refute_0_956,plain,
( inverse(inverse(X_115)) != X_115
| inverse(inverse(X_115)) != add(X_115,inverse(add(inverse(add(inverse(add(X_115,inverse(X_115))),X_114)),inverse(X_115))))
| X_115 = add(X_115,inverse(add(inverse(add(inverse(add(X_115,inverse(X_115))),X_114)),inverse(X_115)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(X_115)),add(X_115,inverse(add(inverse(add(inverse(add(X_115,inverse(X_115))),X_114)),inverse(X_115))))) ),[0],$fot(X_115)]]) ).
cnf(refute_0_957,plain,
( inverse(inverse(X_115)) != add(X_115,inverse(add(inverse(add(inverse(add(X_115,inverse(X_115))),X_114)),inverse(X_115))))
| X_115 = add(X_115,inverse(add(inverse(add(inverse(add(X_115,inverse(X_115))),X_114)),inverse(X_115)))) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_115)),X_115) )],[refute_0_955,refute_0_956]) ).
cnf(refute_0_958,plain,
X_115 = add(X_115,inverse(add(inverse(add(inverse(add(X_115,inverse(X_115))),X_114)),inverse(X_115)))),
inference(resolve,[$cnf( $equal(inverse(inverse(X_115)),add(X_115,inverse(add(inverse(add(inverse(add(X_115,inverse(X_115))),X_114)),inverse(X_115))))) )],[refute_0_954,refute_0_957]) ).
cnf(refute_0_959,plain,
X_134 = add(X_134,inverse(add(inverse(add(inverse(add(X_134,inverse(X_134))),X_114)),inverse(X_134)))),
inference(subst,[],[refute_0_958:[bind(X_115,$fot(X_134))]]) ).
cnf(refute_0_960,plain,
( X_134 != add(X_134,inverse(add(inverse(add(inverse(add(X_134,inverse(X_134))),X_114)),inverse(X_134))))
| add(X_134,inverse(add(inverse(add(inverse(add(X_134,inverse(X_134))),X_114)),inverse(X_134)))) = X_134 ),
inference(subst,[],[refute_0_102:[bind(X,$fot(X_134)),bind(Y,$fot(add(X_134,inverse(add(inverse(add(inverse(add(X_134,inverse(X_134))),X_114)),inverse(X_134))))))]]) ).
cnf(refute_0_961,plain,
add(X_134,inverse(add(inverse(add(inverse(add(X_134,inverse(X_134))),X_114)),inverse(X_134)))) = X_134,
inference(resolve,[$cnf( $equal(X_134,add(X_134,inverse(add(inverse(add(inverse(add(X_134,inverse(X_134))),X_114)),inverse(X_134))))) )],[refute_0_959,refute_0_960]) ).
cnf(refute_0_962,plain,
( add(X_134,inverse(add(inverse(add(inverse(add(X_134,inverse(X_134))),X_114)),inverse(X_134)))) != X_134
| inverse(add(X_132,inverse(add(inverse(add(X_134,inverse(add(inverse(add(inverse(add(X_134,inverse(X_134))),X_114)),inverse(X_134))))),inverse(add(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136))))),inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133)))))))) != inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136))))))
| inverse(add(X_132,inverse(add(inverse(X_134),inverse(add(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136))))),inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133)))))))) = inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(add(X_132,inverse(add(inverse(add(X_134,inverse(add(inverse(add(inverse(add(X_134,inverse(X_134))),X_114)),inverse(X_134))))),inverse(add(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136))))),inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133)))))))),inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136))))))) ),[0,0,1,0,0,0],$fot(X_134)]]) ).
cnf(refute_0_963,plain,
( inverse(add(X_132,inverse(add(inverse(add(X_134,inverse(add(inverse(add(inverse(add(X_134,inverse(X_134))),X_114)),inverse(X_134))))),inverse(add(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136))))),inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133)))))))) != inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136))))))
| inverse(add(X_132,inverse(add(inverse(X_134),inverse(add(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136))))),inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133)))))))) = inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))) ),
inference(resolve,[$cnf( $equal(add(X_134,inverse(add(inverse(add(inverse(add(X_134,inverse(X_134))),X_114)),inverse(X_134)))),X_134) )],[refute_0_961,refute_0_962]) ).
cnf(refute_0_964,plain,
inverse(add(X_132,inverse(add(inverse(X_134),inverse(add(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136))))),inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133)))))))) = inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),
inference(resolve,[$cnf( $equal(inverse(add(X_132,inverse(add(inverse(add(X_134,inverse(add(inverse(add(inverse(add(X_134,inverse(X_134))),X_114)),inverse(X_134))))),inverse(add(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136))))),inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133)))))))),inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136))))))) )],[refute_0_872,refute_0_963]) ).
cnf(refute_0_965,plain,
inverse(inverse(X_132)) = X_132,
inference(subst,[],[refute_0_130:[bind(C,$fot(X_132))]]) ).
cnf(refute_0_966,plain,
add(inverse(X_132),inverse(add(X_132,X_136))) = inverse(X_132),
inference(subst,[],[refute_0_809:[bind(X_42,$fot(X_132)),bind(X_9,$fot(X_136))]]) ).
cnf(refute_0_967,plain,
inverse(add(inverse(X_132),inverse(add(X_132,X_136)))) = inverse(add(inverse(X_132),inverse(add(X_132,X_136)))),
introduced(tautology,[refl,[$fot(inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))]]) ).
cnf(refute_0_968,plain,
( add(inverse(X_132),inverse(add(X_132,X_136))) != inverse(X_132)
| inverse(add(inverse(X_132),inverse(add(X_132,X_136)))) != inverse(add(inverse(X_132),inverse(add(X_132,X_136))))
| inverse(add(inverse(X_132),inverse(add(X_132,X_136)))) = inverse(inverse(X_132)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(X_132),inverse(add(X_132,X_136)))),inverse(add(inverse(X_132),inverse(add(X_132,X_136))))) ),[1,0],$fot(inverse(X_132))]]) ).
cnf(refute_0_969,plain,
( add(inverse(X_132),inverse(add(X_132,X_136))) != inverse(X_132)
| inverse(add(inverse(X_132),inverse(add(X_132,X_136)))) = inverse(inverse(X_132)) ),
inference(resolve,[$cnf( $equal(inverse(add(inverse(X_132),inverse(add(X_132,X_136)))),inverse(add(inverse(X_132),inverse(add(X_132,X_136))))) )],[refute_0_967,refute_0_968]) ).
cnf(refute_0_970,plain,
inverse(add(inverse(X_132),inverse(add(X_132,X_136)))) = inverse(inverse(X_132)),
inference(resolve,[$cnf( $equal(add(inverse(X_132),inverse(add(X_132,X_136))),inverse(X_132)) )],[refute_0_966,refute_0_969]) ).
cnf(refute_0_971,plain,
( inverse(add(inverse(X_132),inverse(add(X_132,X_136)))) != inverse(inverse(X_132))
| inverse(inverse(X_132)) != X_132
| inverse(add(inverse(X_132),inverse(add(X_132,X_136)))) = X_132 ),
inference(subst,[],[refute_0_104:[bind(X,$fot(inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),bind(Y,$fot(inverse(inverse(X_132)))),bind(Z,$fot(X_132))]]) ).
cnf(refute_0_972,plain,
( inverse(inverse(X_132)) != X_132
| inverse(add(inverse(X_132),inverse(add(X_132,X_136)))) = X_132 ),
inference(resolve,[$cnf( $equal(inverse(add(inverse(X_132),inverse(add(X_132,X_136)))),inverse(inverse(X_132))) )],[refute_0_970,refute_0_971]) ).
cnf(refute_0_973,plain,
inverse(add(inverse(X_132),inverse(add(X_132,X_136)))) = X_132,
inference(resolve,[$cnf( $equal(inverse(inverse(X_132)),X_132) )],[refute_0_965,refute_0_972]) ).
cnf(refute_0_974,plain,
add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136))))) = add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136))))),
introduced(tautology,[refl,[$fot(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136))))))]]) ).
cnf(refute_0_975,plain,
( add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136))))) != add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))
| inverse(add(inverse(X_132),inverse(add(X_132,X_136)))) != X_132
| add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136))))) = add(X_134,X_132) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136))))),add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))) ),[1,1],$fot(X_132)]]) ).
cnf(refute_0_976,plain,
( inverse(add(inverse(X_132),inverse(add(X_132,X_136)))) != X_132
| add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136))))) = add(X_134,X_132) ),
inference(resolve,[$cnf( $equal(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136))))),add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))) )],[refute_0_974,refute_0_975]) ).
cnf(refute_0_977,plain,
add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136))))) = add(X_134,X_132),
inference(resolve,[$cnf( $equal(inverse(add(inverse(X_132),inverse(add(X_132,X_136)))),X_132) )],[refute_0_973,refute_0_976]) ).
cnf(refute_0_978,plain,
inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))) = inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),
introduced(tautology,[refl,[$fot(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))))]]) ).
cnf(refute_0_979,plain,
( add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136))))) != add(X_134,X_132)
| inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))) != inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136))))))
| inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))) = inverse(add(X_134,X_132)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136))))))) ),[1,0],$fot(add(X_134,X_132))]]) ).
cnf(refute_0_980,plain,
( add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136))))) != add(X_134,X_132)
| inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))) = inverse(add(X_134,X_132)) ),
inference(resolve,[$cnf( $equal(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136))))))) )],[refute_0_978,refute_0_979]) ).
cnf(refute_0_981,plain,
inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))) = inverse(add(X_134,X_132)),
inference(resolve,[$cnf( $equal(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136))))),add(X_134,X_132)) )],[refute_0_977,refute_0_980]) ).
cnf(refute_0_982,plain,
add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133) = add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133),
introduced(tautology,[refl,[$fot(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133))]]) ).
cnf(refute_0_983,plain,
( add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133) != add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133)
| inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))) != inverse(add(X_134,X_132))
| add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133) = add(inverse(add(X_134,X_132)),X_133) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133),add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133)) ),[1,0],$fot(inverse(add(X_134,X_132)))]]) ).
cnf(refute_0_984,plain,
( inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))) != inverse(add(X_134,X_132))
| add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133) = add(inverse(add(X_134,X_132)),X_133) ),
inference(resolve,[$cnf( $equal(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133),add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133)) )],[refute_0_982,refute_0_983]) ).
cnf(refute_0_985,plain,
add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133) = add(inverse(add(X_134,X_132)),X_133),
inference(resolve,[$cnf( $equal(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),inverse(add(X_134,X_132))) )],[refute_0_981,refute_0_984]) ).
cnf(refute_0_986,plain,
inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133)) = inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133)),
introduced(tautology,[refl,[$fot(inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133)))]]) ).
cnf(refute_0_987,plain,
( add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133) != add(inverse(add(X_134,X_132)),X_133)
| inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133)) != inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133))
| inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133)) = inverse(add(inverse(add(X_134,X_132)),X_133)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133)),inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133))) ),[1,0],$fot(add(inverse(add(X_134,X_132)),X_133))]]) ).
cnf(refute_0_988,plain,
( add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133) != add(inverse(add(X_134,X_132)),X_133)
| inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133)) = inverse(add(inverse(add(X_134,X_132)),X_133)) ),
inference(resolve,[$cnf( $equal(inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133)),inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133))) )],[refute_0_986,refute_0_987]) ).
cnf(refute_0_989,plain,
inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133)) = inverse(add(inverse(add(X_134,X_132)),X_133)),
inference(resolve,[$cnf( $equal(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133),add(inverse(add(X_134,X_132)),X_133)) )],[refute_0_985,refute_0_988]) ).
cnf(refute_0_990,plain,
add(add(X_134,X_132),inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133))) = add(add(X_134,X_132),inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133))),
introduced(tautology,[refl,[$fot(add(add(X_134,X_132),inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133))))]]) ).
cnf(refute_0_991,plain,
( add(add(X_134,X_132),inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133))) != add(add(X_134,X_132),inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133)))
| inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133)) != inverse(add(inverse(add(X_134,X_132)),X_133))
| add(add(X_134,X_132),inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133))) = add(add(X_134,X_132),inverse(add(inverse(add(X_134,X_132)),X_133))) ),
introduced(tautology,[equality,[$cnf( $equal(add(add(X_134,X_132),inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133))),add(add(X_134,X_132),inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133)))) ),[1,1],$fot(inverse(add(inverse(add(X_134,X_132)),X_133)))]]) ).
cnf(refute_0_992,plain,
( inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133)) != inverse(add(inverse(add(X_134,X_132)),X_133))
| add(add(X_134,X_132),inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133))) = add(add(X_134,X_132),inverse(add(inverse(add(X_134,X_132)),X_133))) ),
inference(resolve,[$cnf( $equal(add(add(X_134,X_132),inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133))),add(add(X_134,X_132),inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133)))) )],[refute_0_990,refute_0_991]) ).
cnf(refute_0_993,plain,
add(add(X_134,X_132),inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133))) = add(add(X_134,X_132),inverse(add(inverse(add(X_134,X_132)),X_133))),
inference(resolve,[$cnf( $equal(inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133)),inverse(add(inverse(add(X_134,X_132)),X_133))) )],[refute_0_989,refute_0_992]) ).
cnf(refute_0_994,plain,
add(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136))))),inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133))) = add(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136))))),inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133))),
introduced(tautology,[refl,[$fot(add(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136))))),inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133))))]]) ).
cnf(refute_0_995,plain,
( add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136))))) != add(X_134,X_132)
| add(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136))))),inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133))) != add(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136))))),inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133)))
| add(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136))))),inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133))) = add(add(X_134,X_132),inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133))) ),
introduced(tautology,[equality,[$cnf( $equal(add(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136))))),inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133))),add(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136))))),inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133)))) ),[1,0],$fot(add(X_134,X_132))]]) ).
cnf(refute_0_996,plain,
( add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136))))) != add(X_134,X_132)
| add(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136))))),inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133))) = add(add(X_134,X_132),inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133))) ),
inference(resolve,[$cnf( $equal(add(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136))))),inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133))),add(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136))))),inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133)))) )],[refute_0_994,refute_0_995]) ).
cnf(refute_0_997,plain,
add(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136))))),inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133))) = add(add(X_134,X_132),inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133))),
inference(resolve,[$cnf( $equal(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136))))),add(X_134,X_132)) )],[refute_0_977,refute_0_996]) ).
cnf(refute_0_998,plain,
( add(add(X_134,X_132),inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133))) != add(add(X_134,X_132),inverse(add(inverse(add(X_134,X_132)),X_133)))
| add(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136))))),inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133))) != add(add(X_134,X_132),inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133)))
| add(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136))))),inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133))) = add(add(X_134,X_132),inverse(add(inverse(add(X_134,X_132)),X_133))) ),
inference(subst,[],[refute_0_104:[bind(X,$fot(add(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136))))),inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133))))),bind(Y,$fot(add(add(X_134,X_132),inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133))))),bind(Z,$fot(add(add(X_134,X_132),inverse(add(inverse(add(X_134,X_132)),X_133)))))]]) ).
cnf(refute_0_999,plain,
( add(add(X_134,X_132),inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133))) != add(add(X_134,X_132),inverse(add(inverse(add(X_134,X_132)),X_133)))
| add(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136))))),inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133))) = add(add(X_134,X_132),inverse(add(inverse(add(X_134,X_132)),X_133))) ),
inference(resolve,[$cnf( $equal(add(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136))))),inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133))),add(add(X_134,X_132),inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133)))) )],[refute_0_997,refute_0_998]) ).
cnf(refute_0_1000,plain,
add(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136))))),inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133))) = add(add(X_134,X_132),inverse(add(inverse(add(X_134,X_132)),X_133))),
inference(resolve,[$cnf( $equal(add(add(X_134,X_132),inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133))),add(add(X_134,X_132),inverse(add(inverse(add(X_134,X_132)),X_133)))) )],[refute_0_993,refute_0_999]) ).
cnf(refute_0_1001,plain,
inverse(add(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136))))),inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133)))) = inverse(add(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136))))),inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133)))),
introduced(tautology,[refl,[$fot(inverse(add(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136))))),inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133)))))]]) ).
cnf(refute_0_1002,plain,
( add(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136))))),inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133))) != add(add(X_134,X_132),inverse(add(inverse(add(X_134,X_132)),X_133)))
| inverse(add(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136))))),inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133)))) != inverse(add(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136))))),inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133))))
| inverse(add(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136))))),inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133)))) = inverse(add(add(X_134,X_132),inverse(add(inverse(add(X_134,X_132)),X_133)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(add(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136))))),inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133)))),inverse(add(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136))))),inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133))))) ),[1,0],$fot(add(add(X_134,X_132),inverse(add(inverse(add(X_134,X_132)),X_133))))]]) ).
cnf(refute_0_1003,plain,
( add(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136))))),inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133))) != add(add(X_134,X_132),inverse(add(inverse(add(X_134,X_132)),X_133)))
| inverse(add(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136))))),inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133)))) = inverse(add(add(X_134,X_132),inverse(add(inverse(add(X_134,X_132)),X_133)))) ),
inference(resolve,[$cnf( $equal(inverse(add(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136))))),inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133)))),inverse(add(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136))))),inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133))))) )],[refute_0_1001,refute_0_1002]) ).
cnf(refute_0_1004,plain,
inverse(add(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136))))),inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133)))) = inverse(add(add(X_134,X_132),inverse(add(inverse(add(X_134,X_132)),X_133)))),
inference(resolve,[$cnf( $equal(add(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136))))),inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133))),add(add(X_134,X_132),inverse(add(inverse(add(X_134,X_132)),X_133)))) )],[refute_0_1000,refute_0_1003]) ).
cnf(refute_0_1005,plain,
add(inverse(X_134),inverse(add(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136))))),inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133))))) = add(inverse(X_134),inverse(add(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136))))),inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133))))),
introduced(tautology,[refl,[$fot(add(inverse(X_134),inverse(add(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136))))),inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133))))))]]) ).
cnf(refute_0_1006,plain,
( add(inverse(X_134),inverse(add(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136))))),inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133))))) != add(inverse(X_134),inverse(add(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136))))),inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133)))))
| inverse(add(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136))))),inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133)))) != inverse(add(add(X_134,X_132),inverse(add(inverse(add(X_134,X_132)),X_133))))
| add(inverse(X_134),inverse(add(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136))))),inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133))))) = add(inverse(X_134),inverse(add(add(X_134,X_132),inverse(add(inverse(add(X_134,X_132)),X_133))))) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(X_134),inverse(add(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136))))),inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133))))),add(inverse(X_134),inverse(add(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136))))),inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133)))))) ),[1,1],$fot(inverse(add(add(X_134,X_132),inverse(add(inverse(add(X_134,X_132)),X_133)))))]]) ).
cnf(refute_0_1007,plain,
( inverse(add(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136))))),inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133)))) != inverse(add(add(X_134,X_132),inverse(add(inverse(add(X_134,X_132)),X_133))))
| add(inverse(X_134),inverse(add(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136))))),inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133))))) = add(inverse(X_134),inverse(add(add(X_134,X_132),inverse(add(inverse(add(X_134,X_132)),X_133))))) ),
inference(resolve,[$cnf( $equal(add(inverse(X_134),inverse(add(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136))))),inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133))))),add(inverse(X_134),inverse(add(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136))))),inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133)))))) )],[refute_0_1005,refute_0_1006]) ).
cnf(refute_0_1008,plain,
add(inverse(X_134),inverse(add(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136))))),inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133))))) = add(inverse(X_134),inverse(add(add(X_134,X_132),inverse(add(inverse(add(X_134,X_132)),X_133))))),
inference(resolve,[$cnf( $equal(inverse(add(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136))))),inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133)))),inverse(add(add(X_134,X_132),inverse(add(inverse(add(X_134,X_132)),X_133))))) )],[refute_0_1004,refute_0_1007]) ).
cnf(refute_0_1009,plain,
inverse(add(inverse(X_134),inverse(add(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136))))),inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133)))))) = inverse(add(inverse(X_134),inverse(add(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136))))),inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133)))))),
introduced(tautology,[refl,[$fot(inverse(add(inverse(X_134),inverse(add(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136))))),inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133)))))))]]) ).
cnf(refute_0_1010,plain,
( add(inverse(X_134),inverse(add(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136))))),inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133))))) != add(inverse(X_134),inverse(add(add(X_134,X_132),inverse(add(inverse(add(X_134,X_132)),X_133)))))
| inverse(add(inverse(X_134),inverse(add(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136))))),inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133)))))) != inverse(add(inverse(X_134),inverse(add(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136))))),inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133))))))
| inverse(add(inverse(X_134),inverse(add(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136))))),inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133)))))) = inverse(add(inverse(X_134),inverse(add(add(X_134,X_132),inverse(add(inverse(add(X_134,X_132)),X_133)))))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(X_134),inverse(add(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136))))),inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133)))))),inverse(add(inverse(X_134),inverse(add(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136))))),inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133))))))) ),[1,0],$fot(add(inverse(X_134),inverse(add(add(X_134,X_132),inverse(add(inverse(add(X_134,X_132)),X_133))))))]]) ).
cnf(refute_0_1011,plain,
( add(inverse(X_134),inverse(add(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136))))),inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133))))) != add(inverse(X_134),inverse(add(add(X_134,X_132),inverse(add(inverse(add(X_134,X_132)),X_133)))))
| inverse(add(inverse(X_134),inverse(add(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136))))),inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133)))))) = inverse(add(inverse(X_134),inverse(add(add(X_134,X_132),inverse(add(inverse(add(X_134,X_132)),X_133)))))) ),
inference(resolve,[$cnf( $equal(inverse(add(inverse(X_134),inverse(add(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136))))),inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133)))))),inverse(add(inverse(X_134),inverse(add(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136))))),inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133))))))) )],[refute_0_1009,refute_0_1010]) ).
cnf(refute_0_1012,plain,
inverse(add(inverse(X_134),inverse(add(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136))))),inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133)))))) = inverse(add(inverse(X_134),inverse(add(add(X_134,X_132),inverse(add(inverse(add(X_134,X_132)),X_133)))))),
inference(resolve,[$cnf( $equal(add(inverse(X_134),inverse(add(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136))))),inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133))))),add(inverse(X_134),inverse(add(add(X_134,X_132),inverse(add(inverse(add(X_134,X_132)),X_133)))))) )],[refute_0_1008,refute_0_1011]) ).
cnf(refute_0_1013,plain,
add(X_132,inverse(add(inverse(X_134),inverse(add(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136))))),inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133))))))) = add(X_132,inverse(add(inverse(X_134),inverse(add(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136))))),inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133))))))),
introduced(tautology,[refl,[$fot(add(X_132,inverse(add(inverse(X_134),inverse(add(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136))))),inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133))))))))]]) ).
cnf(refute_0_1014,plain,
( add(X_132,inverse(add(inverse(X_134),inverse(add(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136))))),inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133))))))) != add(X_132,inverse(add(inverse(X_134),inverse(add(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136))))),inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133)))))))
| inverse(add(inverse(X_134),inverse(add(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136))))),inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133)))))) != inverse(add(inverse(X_134),inverse(add(add(X_134,X_132),inverse(add(inverse(add(X_134,X_132)),X_133))))))
| add(X_132,inverse(add(inverse(X_134),inverse(add(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136))))),inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133))))))) = add(X_132,inverse(add(inverse(X_134),inverse(add(add(X_134,X_132),inverse(add(inverse(add(X_134,X_132)),X_133))))))) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_132,inverse(add(inverse(X_134),inverse(add(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136))))),inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133))))))),add(X_132,inverse(add(inverse(X_134),inverse(add(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136))))),inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133)))))))) ),[1,1],$fot(inverse(add(inverse(X_134),inverse(add(add(X_134,X_132),inverse(add(inverse(add(X_134,X_132)),X_133)))))))]]) ).
cnf(refute_0_1015,plain,
( inverse(add(inverse(X_134),inverse(add(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136))))),inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133)))))) != inverse(add(inverse(X_134),inverse(add(add(X_134,X_132),inverse(add(inverse(add(X_134,X_132)),X_133))))))
| add(X_132,inverse(add(inverse(X_134),inverse(add(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136))))),inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133))))))) = add(X_132,inverse(add(inverse(X_134),inverse(add(add(X_134,X_132),inverse(add(inverse(add(X_134,X_132)),X_133))))))) ),
inference(resolve,[$cnf( $equal(add(X_132,inverse(add(inverse(X_134),inverse(add(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136))))),inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133))))))),add(X_132,inverse(add(inverse(X_134),inverse(add(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136))))),inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133)))))))) )],[refute_0_1013,refute_0_1014]) ).
cnf(refute_0_1016,plain,
add(X_132,inverse(add(inverse(X_134),inverse(add(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136))))),inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133))))))) = add(X_132,inverse(add(inverse(X_134),inverse(add(add(X_134,X_132),inverse(add(inverse(add(X_134,X_132)),X_133))))))),
inference(resolve,[$cnf( $equal(inverse(add(inverse(X_134),inverse(add(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136))))),inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133)))))),inverse(add(inverse(X_134),inverse(add(add(X_134,X_132),inverse(add(inverse(add(X_134,X_132)),X_133))))))) )],[refute_0_1012,refute_0_1015]) ).
cnf(refute_0_1017,plain,
inverse(add(X_132,inverse(add(inverse(X_134),inverse(add(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136))))),inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133)))))))) = inverse(add(X_132,inverse(add(inverse(X_134),inverse(add(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136))))),inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133)))))))),
introduced(tautology,[refl,[$fot(inverse(add(X_132,inverse(add(inverse(X_134),inverse(add(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136))))),inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133)))))))))]]) ).
cnf(refute_0_1018,plain,
( add(X_132,inverse(add(inverse(X_134),inverse(add(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136))))),inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133))))))) != add(X_132,inverse(add(inverse(X_134),inverse(add(add(X_134,X_132),inverse(add(inverse(add(X_134,X_132)),X_133)))))))
| inverse(add(X_132,inverse(add(inverse(X_134),inverse(add(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136))))),inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133)))))))) != inverse(add(X_132,inverse(add(inverse(X_134),inverse(add(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136))))),inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133))))))))
| inverse(add(X_132,inverse(add(inverse(X_134),inverse(add(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136))))),inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133)))))))) = inverse(add(X_132,inverse(add(inverse(X_134),inverse(add(add(X_134,X_132),inverse(add(inverse(add(X_134,X_132)),X_133)))))))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(add(X_132,inverse(add(inverse(X_134),inverse(add(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136))))),inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133)))))))),inverse(add(X_132,inverse(add(inverse(X_134),inverse(add(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136))))),inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133))))))))) ),[1,0],$fot(add(X_132,inverse(add(inverse(X_134),inverse(add(add(X_134,X_132),inverse(add(inverse(add(X_134,X_132)),X_133))))))))]]) ).
cnf(refute_0_1019,plain,
( add(X_132,inverse(add(inverse(X_134),inverse(add(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136))))),inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133))))))) != add(X_132,inverse(add(inverse(X_134),inverse(add(add(X_134,X_132),inverse(add(inverse(add(X_134,X_132)),X_133)))))))
| inverse(add(X_132,inverse(add(inverse(X_134),inverse(add(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136))))),inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133)))))))) = inverse(add(X_132,inverse(add(inverse(X_134),inverse(add(add(X_134,X_132),inverse(add(inverse(add(X_134,X_132)),X_133)))))))) ),
inference(resolve,[$cnf( $equal(inverse(add(X_132,inverse(add(inverse(X_134),inverse(add(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136))))),inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133)))))))),inverse(add(X_132,inverse(add(inverse(X_134),inverse(add(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136))))),inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133))))))))) )],[refute_0_1017,refute_0_1018]) ).
cnf(refute_0_1020,plain,
inverse(add(X_132,inverse(add(inverse(X_134),inverse(add(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136))))),inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133)))))))) = inverse(add(X_132,inverse(add(inverse(X_134),inverse(add(add(X_134,X_132),inverse(add(inverse(add(X_134,X_132)),X_133)))))))),
inference(resolve,[$cnf( $equal(add(X_132,inverse(add(inverse(X_134),inverse(add(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136))))),inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133))))))),add(X_132,inverse(add(inverse(X_134),inverse(add(add(X_134,X_132),inverse(add(inverse(add(X_134,X_132)),X_133)))))))) )],[refute_0_1016,refute_0_1019]) ).
cnf(refute_0_1021,plain,
( inverse(add(X_132,inverse(add(inverse(X_134),inverse(add(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136))))),inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133)))))))) != inverse(add(X_132,inverse(add(inverse(X_134),inverse(add(add(X_134,X_132),inverse(add(inverse(add(X_134,X_132)),X_133))))))))
| inverse(add(X_132,inverse(add(inverse(X_134),inverse(add(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136))))),inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133)))))))) != inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136))))))
| inverse(add(X_132,inverse(add(inverse(X_134),inverse(add(add(X_134,X_132),inverse(add(inverse(add(X_134,X_132)),X_133)))))))) = inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(add(X_132,inverse(add(inverse(X_134),inverse(add(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136))))),inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133)))))))),inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136))))))) ),[0],$fot(inverse(add(X_132,inverse(add(inverse(X_134),inverse(add(add(X_134,X_132),inverse(add(inverse(add(X_134,X_132)),X_133)))))))))]]) ).
cnf(refute_0_1022,plain,
( inverse(add(X_132,inverse(add(inverse(X_134),inverse(add(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136))))),inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133)))))))) != inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136))))))
| inverse(add(X_132,inverse(add(inverse(X_134),inverse(add(add(X_134,X_132),inverse(add(inverse(add(X_134,X_132)),X_133)))))))) = inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))) ),
inference(resolve,[$cnf( $equal(inverse(add(X_132,inverse(add(inverse(X_134),inverse(add(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136))))),inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133)))))))),inverse(add(X_132,inverse(add(inverse(X_134),inverse(add(add(X_134,X_132),inverse(add(inverse(add(X_134,X_132)),X_133))))))))) )],[refute_0_1020,refute_0_1021]) ).
cnf(refute_0_1023,plain,
( inverse(add(X_132,inverse(add(inverse(X_134),inverse(add(add(X_134,X_132),inverse(add(inverse(add(X_134,X_132)),X_133)))))))) != inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136))))))
| inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))) != inverse(add(X_134,X_132))
| inverse(add(X_132,inverse(add(inverse(X_134),inverse(add(add(X_134,X_132),inverse(add(inverse(add(X_134,X_132)),X_133)))))))) = inverse(add(X_134,X_132)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(inverse(add(X_132,inverse(add(inverse(X_134),inverse(add(add(X_134,X_132),inverse(add(inverse(add(X_134,X_132)),X_133)))))))),inverse(add(X_134,X_132))) ),[0],$fot(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))))]]) ).
cnf(refute_0_1024,plain,
( inverse(add(X_132,inverse(add(inverse(X_134),inverse(add(add(X_134,X_132),inverse(add(inverse(add(X_134,X_132)),X_133)))))))) != inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136))))))
| inverse(add(X_132,inverse(add(inverse(X_134),inverse(add(add(X_134,X_132),inverse(add(inverse(add(X_134,X_132)),X_133)))))))) = inverse(add(X_134,X_132)) ),
inference(resolve,[$cnf( $equal(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),inverse(add(X_134,X_132))) )],[refute_0_981,refute_0_1023]) ).
cnf(refute_0_1025,plain,
( inverse(add(X_132,inverse(add(inverse(X_134),inverse(add(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136))))),inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133)))))))) != inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136))))))
| inverse(add(X_132,inverse(add(inverse(X_134),inverse(add(add(X_134,X_132),inverse(add(inverse(add(X_134,X_132)),X_133)))))))) = inverse(add(X_134,X_132)) ),
inference(resolve,[$cnf( $equal(inverse(add(X_132,inverse(add(inverse(X_134),inverse(add(add(X_134,X_132),inverse(add(inverse(add(X_134,X_132)),X_133)))))))),inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136))))))) )],[refute_0_1022,refute_0_1024]) ).
cnf(refute_0_1026,plain,
inverse(add(X_132,inverse(add(inverse(X_134),inverse(add(add(X_134,X_132),inverse(add(inverse(add(X_134,X_132)),X_133)))))))) = inverse(add(X_134,X_132)),
inference(resolve,[$cnf( $equal(inverse(add(X_132,inverse(add(inverse(X_134),inverse(add(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136))))),inverse(add(inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136)))))),X_133)))))))),inverse(add(X_134,inverse(add(inverse(X_132),inverse(add(X_132,X_136))))))) )],[refute_0_964,refute_0_1025]) ).
cnf(refute_0_1027,plain,
inverse(inverse(X_134)) = X_134,
inference(subst,[],[refute_0_130:[bind(C,$fot(X_134))]]) ).
cnf(refute_0_1028,plain,
add(inverse(X_134),inverse(add(X_134,X_132))) = inverse(X_134),
inference(subst,[],[refute_0_809:[bind(X_42,$fot(X_134)),bind(X_9,$fot(X_132))]]) ).
cnf(refute_0_1029,plain,
inverse(add(add(X_134,X_132),inverse(add(inverse(add(X_134,X_132)),X_133)))) = inverse(add(X_134,X_132)),
inference(subst,[],[refute_0_815:[bind(X_106,$fot(add(X_134,X_132))),bind(X_151,$fot(X_133))]]) ).
cnf(refute_0_1030,plain,
add(inverse(X_134),inverse(add(add(X_134,X_132),inverse(add(inverse(add(X_134,X_132)),X_133))))) = add(inverse(X_134),inverse(add(add(X_134,X_132),inverse(add(inverse(add(X_134,X_132)),X_133))))),
introduced(tautology,[refl,[$fot(add(inverse(X_134),inverse(add(add(X_134,X_132),inverse(add(inverse(add(X_134,X_132)),X_133))))))]]) ).
cnf(refute_0_1031,plain,
( add(inverse(X_134),inverse(add(add(X_134,X_132),inverse(add(inverse(add(X_134,X_132)),X_133))))) != add(inverse(X_134),inverse(add(add(X_134,X_132),inverse(add(inverse(add(X_134,X_132)),X_133)))))
| inverse(add(add(X_134,X_132),inverse(add(inverse(add(X_134,X_132)),X_133)))) != inverse(add(X_134,X_132))
| add(inverse(X_134),inverse(add(add(X_134,X_132),inverse(add(inverse(add(X_134,X_132)),X_133))))) = add(inverse(X_134),inverse(add(X_134,X_132))) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(X_134),inverse(add(add(X_134,X_132),inverse(add(inverse(add(X_134,X_132)),X_133))))),add(inverse(X_134),inverse(add(add(X_134,X_132),inverse(add(inverse(add(X_134,X_132)),X_133)))))) ),[1,1],$fot(inverse(add(X_134,X_132)))]]) ).
cnf(refute_0_1032,plain,
( inverse(add(add(X_134,X_132),inverse(add(inverse(add(X_134,X_132)),X_133)))) != inverse(add(X_134,X_132))
| add(inverse(X_134),inverse(add(add(X_134,X_132),inverse(add(inverse(add(X_134,X_132)),X_133))))) = add(inverse(X_134),inverse(add(X_134,X_132))) ),
inference(resolve,[$cnf( $equal(add(inverse(X_134),inverse(add(add(X_134,X_132),inverse(add(inverse(add(X_134,X_132)),X_133))))),add(inverse(X_134),inverse(add(add(X_134,X_132),inverse(add(inverse(add(X_134,X_132)),X_133)))))) )],[refute_0_1030,refute_0_1031]) ).
cnf(refute_0_1033,plain,
add(inverse(X_134),inverse(add(add(X_134,X_132),inverse(add(inverse(add(X_134,X_132)),X_133))))) = add(inverse(X_134),inverse(add(X_134,X_132))),
inference(resolve,[$cnf( $equal(inverse(add(add(X_134,X_132),inverse(add(inverse(add(X_134,X_132)),X_133)))),inverse(add(X_134,X_132))) )],[refute_0_1029,refute_0_1032]) ).
cnf(refute_0_1034,plain,
( add(inverse(X_134),inverse(add(X_134,X_132))) != inverse(X_134)
| add(inverse(X_134),inverse(add(add(X_134,X_132),inverse(add(inverse(add(X_134,X_132)),X_133))))) != add(inverse(X_134),inverse(add(X_134,X_132)))
| add(inverse(X_134),inverse(add(add(X_134,X_132),inverse(add(inverse(add(X_134,X_132)),X_133))))) = inverse(X_134) ),
inference(subst,[],[refute_0_104:[bind(X,$fot(add(inverse(X_134),inverse(add(add(X_134,X_132),inverse(add(inverse(add(X_134,X_132)),X_133))))))),bind(Y,$fot(add(inverse(X_134),inverse(add(X_134,X_132))))),bind(Z,$fot(inverse(X_134)))]]) ).
cnf(refute_0_1035,plain,
( add(inverse(X_134),inverse(add(X_134,X_132))) != inverse(X_134)
| add(inverse(X_134),inverse(add(add(X_134,X_132),inverse(add(inverse(add(X_134,X_132)),X_133))))) = inverse(X_134) ),
inference(resolve,[$cnf( $equal(add(inverse(X_134),inverse(add(add(X_134,X_132),inverse(add(inverse(add(X_134,X_132)),X_133))))),add(inverse(X_134),inverse(add(X_134,X_132)))) )],[refute_0_1033,refute_0_1034]) ).
cnf(refute_0_1036,plain,
add(inverse(X_134),inverse(add(add(X_134,X_132),inverse(add(inverse(add(X_134,X_132)),X_133))))) = inverse(X_134),
inference(resolve,[$cnf( $equal(add(inverse(X_134),inverse(add(X_134,X_132))),inverse(X_134)) )],[refute_0_1028,refute_0_1035]) ).
cnf(refute_0_1037,plain,
inverse(add(inverse(X_134),inverse(add(add(X_134,X_132),inverse(add(inverse(add(X_134,X_132)),X_133)))))) = inverse(add(inverse(X_134),inverse(add(add(X_134,X_132),inverse(add(inverse(add(X_134,X_132)),X_133)))))),
introduced(tautology,[refl,[$fot(inverse(add(inverse(X_134),inverse(add(add(X_134,X_132),inverse(add(inverse(add(X_134,X_132)),X_133)))))))]]) ).
cnf(refute_0_1038,plain,
( add(inverse(X_134),inverse(add(add(X_134,X_132),inverse(add(inverse(add(X_134,X_132)),X_133))))) != inverse(X_134)
| inverse(add(inverse(X_134),inverse(add(add(X_134,X_132),inverse(add(inverse(add(X_134,X_132)),X_133)))))) != inverse(add(inverse(X_134),inverse(add(add(X_134,X_132),inverse(add(inverse(add(X_134,X_132)),X_133))))))
| inverse(add(inverse(X_134),inverse(add(add(X_134,X_132),inverse(add(inverse(add(X_134,X_132)),X_133)))))) = inverse(inverse(X_134)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(X_134),inverse(add(add(X_134,X_132),inverse(add(inverse(add(X_134,X_132)),X_133)))))),inverse(add(inverse(X_134),inverse(add(add(X_134,X_132),inverse(add(inverse(add(X_134,X_132)),X_133))))))) ),[1,0],$fot(inverse(X_134))]]) ).
cnf(refute_0_1039,plain,
( add(inverse(X_134),inverse(add(add(X_134,X_132),inverse(add(inverse(add(X_134,X_132)),X_133))))) != inverse(X_134)
| inverse(add(inverse(X_134),inverse(add(add(X_134,X_132),inverse(add(inverse(add(X_134,X_132)),X_133)))))) = inverse(inverse(X_134)) ),
inference(resolve,[$cnf( $equal(inverse(add(inverse(X_134),inverse(add(add(X_134,X_132),inverse(add(inverse(add(X_134,X_132)),X_133)))))),inverse(add(inverse(X_134),inverse(add(add(X_134,X_132),inverse(add(inverse(add(X_134,X_132)),X_133))))))) )],[refute_0_1037,refute_0_1038]) ).
cnf(refute_0_1040,plain,
inverse(add(inverse(X_134),inverse(add(add(X_134,X_132),inverse(add(inverse(add(X_134,X_132)),X_133)))))) = inverse(inverse(X_134)),
inference(resolve,[$cnf( $equal(add(inverse(X_134),inverse(add(add(X_134,X_132),inverse(add(inverse(add(X_134,X_132)),X_133))))),inverse(X_134)) )],[refute_0_1036,refute_0_1039]) ).
cnf(refute_0_1041,plain,
( inverse(add(inverse(X_134),inverse(add(add(X_134,X_132),inverse(add(inverse(add(X_134,X_132)),X_133)))))) != inverse(inverse(X_134))
| inverse(inverse(X_134)) != X_134
| inverse(add(inverse(X_134),inverse(add(add(X_134,X_132),inverse(add(inverse(add(X_134,X_132)),X_133)))))) = X_134 ),
inference(subst,[],[refute_0_104:[bind(X,$fot(inverse(add(inverse(X_134),inverse(add(add(X_134,X_132),inverse(add(inverse(add(X_134,X_132)),X_133)))))))),bind(Y,$fot(inverse(inverse(X_134)))),bind(Z,$fot(X_134))]]) ).
cnf(refute_0_1042,plain,
( inverse(inverse(X_134)) != X_134
| inverse(add(inverse(X_134),inverse(add(add(X_134,X_132),inverse(add(inverse(add(X_134,X_132)),X_133)))))) = X_134 ),
inference(resolve,[$cnf( $equal(inverse(add(inverse(X_134),inverse(add(add(X_134,X_132),inverse(add(inverse(add(X_134,X_132)),X_133)))))),inverse(inverse(X_134))) )],[refute_0_1040,refute_0_1041]) ).
cnf(refute_0_1043,plain,
inverse(add(inverse(X_134),inverse(add(add(X_134,X_132),inverse(add(inverse(add(X_134,X_132)),X_133)))))) = X_134,
inference(resolve,[$cnf( $equal(inverse(inverse(X_134)),X_134) )],[refute_0_1027,refute_0_1042]) ).
cnf(refute_0_1044,plain,
add(X_132,inverse(add(inverse(X_134),inverse(add(add(X_134,X_132),inverse(add(inverse(add(X_134,X_132)),X_133))))))) = add(X_132,inverse(add(inverse(X_134),inverse(add(add(X_134,X_132),inverse(add(inverse(add(X_134,X_132)),X_133))))))),
introduced(tautology,[refl,[$fot(add(X_132,inverse(add(inverse(X_134),inverse(add(add(X_134,X_132),inverse(add(inverse(add(X_134,X_132)),X_133))))))))]]) ).
cnf(refute_0_1045,plain,
( add(X_132,inverse(add(inverse(X_134),inverse(add(add(X_134,X_132),inverse(add(inverse(add(X_134,X_132)),X_133))))))) != add(X_132,inverse(add(inverse(X_134),inverse(add(add(X_134,X_132),inverse(add(inverse(add(X_134,X_132)),X_133)))))))
| inverse(add(inverse(X_134),inverse(add(add(X_134,X_132),inverse(add(inverse(add(X_134,X_132)),X_133)))))) != X_134
| add(X_132,inverse(add(inverse(X_134),inverse(add(add(X_134,X_132),inverse(add(inverse(add(X_134,X_132)),X_133))))))) = add(X_132,X_134) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_132,inverse(add(inverse(X_134),inverse(add(add(X_134,X_132),inverse(add(inverse(add(X_134,X_132)),X_133))))))),add(X_132,inverse(add(inverse(X_134),inverse(add(add(X_134,X_132),inverse(add(inverse(add(X_134,X_132)),X_133)))))))) ),[1,1],$fot(X_134)]]) ).
cnf(refute_0_1046,plain,
( inverse(add(inverse(X_134),inverse(add(add(X_134,X_132),inverse(add(inverse(add(X_134,X_132)),X_133)))))) != X_134
| add(X_132,inverse(add(inverse(X_134),inverse(add(add(X_134,X_132),inverse(add(inverse(add(X_134,X_132)),X_133))))))) = add(X_132,X_134) ),
inference(resolve,[$cnf( $equal(add(X_132,inverse(add(inverse(X_134),inverse(add(add(X_134,X_132),inverse(add(inverse(add(X_134,X_132)),X_133))))))),add(X_132,inverse(add(inverse(X_134),inverse(add(add(X_134,X_132),inverse(add(inverse(add(X_134,X_132)),X_133)))))))) )],[refute_0_1044,refute_0_1045]) ).
cnf(refute_0_1047,plain,
add(X_132,inverse(add(inverse(X_134),inverse(add(add(X_134,X_132),inverse(add(inverse(add(X_134,X_132)),X_133))))))) = add(X_132,X_134),
inference(resolve,[$cnf( $equal(inverse(add(inverse(X_134),inverse(add(add(X_134,X_132),inverse(add(inverse(add(X_134,X_132)),X_133)))))),X_134) )],[refute_0_1043,refute_0_1046]) ).
cnf(refute_0_1048,plain,
inverse(add(X_132,inverse(add(inverse(X_134),inverse(add(add(X_134,X_132),inverse(add(inverse(add(X_134,X_132)),X_133)))))))) = inverse(add(X_132,inverse(add(inverse(X_134),inverse(add(add(X_134,X_132),inverse(add(inverse(add(X_134,X_132)),X_133)))))))),
introduced(tautology,[refl,[$fot(inverse(add(X_132,inverse(add(inverse(X_134),inverse(add(add(X_134,X_132),inverse(add(inverse(add(X_134,X_132)),X_133)))))))))]]) ).
cnf(refute_0_1049,plain,
( add(X_132,inverse(add(inverse(X_134),inverse(add(add(X_134,X_132),inverse(add(inverse(add(X_134,X_132)),X_133))))))) != add(X_132,X_134)
| inverse(add(X_132,inverse(add(inverse(X_134),inverse(add(add(X_134,X_132),inverse(add(inverse(add(X_134,X_132)),X_133)))))))) != inverse(add(X_132,inverse(add(inverse(X_134),inverse(add(add(X_134,X_132),inverse(add(inverse(add(X_134,X_132)),X_133))))))))
| inverse(add(X_132,inverse(add(inverse(X_134),inverse(add(add(X_134,X_132),inverse(add(inverse(add(X_134,X_132)),X_133)))))))) = inverse(add(X_132,X_134)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(add(X_132,inverse(add(inverse(X_134),inverse(add(add(X_134,X_132),inverse(add(inverse(add(X_134,X_132)),X_133)))))))),inverse(add(X_132,inverse(add(inverse(X_134),inverse(add(add(X_134,X_132),inverse(add(inverse(add(X_134,X_132)),X_133))))))))) ),[1,0],$fot(add(X_132,X_134))]]) ).
cnf(refute_0_1050,plain,
( add(X_132,inverse(add(inverse(X_134),inverse(add(add(X_134,X_132),inverse(add(inverse(add(X_134,X_132)),X_133))))))) != add(X_132,X_134)
| inverse(add(X_132,inverse(add(inverse(X_134),inverse(add(add(X_134,X_132),inverse(add(inverse(add(X_134,X_132)),X_133)))))))) = inverse(add(X_132,X_134)) ),
inference(resolve,[$cnf( $equal(inverse(add(X_132,inverse(add(inverse(X_134),inverse(add(add(X_134,X_132),inverse(add(inverse(add(X_134,X_132)),X_133)))))))),inverse(add(X_132,inverse(add(inverse(X_134),inverse(add(add(X_134,X_132),inverse(add(inverse(add(X_134,X_132)),X_133))))))))) )],[refute_0_1048,refute_0_1049]) ).
cnf(refute_0_1051,plain,
inverse(add(X_132,inverse(add(inverse(X_134),inverse(add(add(X_134,X_132),inverse(add(inverse(add(X_134,X_132)),X_133)))))))) = inverse(add(X_132,X_134)),
inference(resolve,[$cnf( $equal(add(X_132,inverse(add(inverse(X_134),inverse(add(add(X_134,X_132),inverse(add(inverse(add(X_134,X_132)),X_133))))))),add(X_132,X_134)) )],[refute_0_1047,refute_0_1050]) ).
cnf(refute_0_1052,plain,
( inverse(add(X_132,inverse(add(inverse(X_134),inverse(add(add(X_134,X_132),inverse(add(inverse(add(X_134,X_132)),X_133)))))))) != inverse(add(X_132,X_134))
| inverse(add(X_132,inverse(add(inverse(X_134),inverse(add(add(X_134,X_132),inverse(add(inverse(add(X_134,X_132)),X_133)))))))) != inverse(add(X_134,X_132))
| inverse(add(X_132,X_134)) = inverse(add(X_134,X_132)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(add(X_132,inverse(add(inverse(X_134),inverse(add(add(X_134,X_132),inverse(add(inverse(add(X_134,X_132)),X_133)))))))),inverse(add(X_134,X_132))) ),[0],$fot(inverse(add(X_132,X_134)))]]) ).
cnf(refute_0_1053,plain,
( inverse(add(X_132,inverse(add(inverse(X_134),inverse(add(add(X_134,X_132),inverse(add(inverse(add(X_134,X_132)),X_133)))))))) != inverse(add(X_134,X_132))
| inverse(add(X_132,X_134)) = inverse(add(X_134,X_132)) ),
inference(resolve,[$cnf( $equal(inverse(add(X_132,inverse(add(inverse(X_134),inverse(add(add(X_134,X_132),inverse(add(inverse(add(X_134,X_132)),X_133)))))))),inverse(add(X_132,X_134))) )],[refute_0_1051,refute_0_1052]) ).
cnf(refute_0_1054,plain,
inverse(add(X_132,X_134)) = inverse(add(X_134,X_132)),
inference(resolve,[$cnf( $equal(inverse(add(X_132,inverse(add(inverse(X_134),inverse(add(add(X_134,X_132),inverse(add(inverse(add(X_134,X_132)),X_133)))))))),inverse(add(X_134,X_132))) )],[refute_0_1026,refute_0_1053]) ).
cnf(refute_0_1055,plain,
( inverse(add(X_132,X_134)) != inverse(add(X_134,X_132))
| inverse(add(X_134,X_132)) = inverse(add(X_132,X_134)) ),
inference(subst,[],[refute_0_102:[bind(X,$fot(inverse(add(X_132,X_134)))),bind(Y,$fot(inverse(add(X_134,X_132))))]]) ).
cnf(refute_0_1056,plain,
inverse(add(X_134,X_132)) = inverse(add(X_132,X_134)),
inference(resolve,[$cnf( $equal(inverse(add(X_132,X_134)),inverse(add(X_134,X_132))) )],[refute_0_1054,refute_0_1055]) ).
cnf(refute_0_1057,plain,
inverse(add(add(X_79,X_78),inverse(inverse(X_78)))) = inverse(add(inverse(inverse(X_78)),add(X_79,X_78))),
inference(subst,[],[refute_0_1056:[bind(X_132,$fot(inverse(inverse(X_78)))),bind(X_134,$fot(add(X_79,X_78)))]]) ).
cnf(refute_0_1058,plain,
( inverse(add(add(X_79,X_78),inverse(inverse(X_78)))) != inverse(add(inverse(inverse(X_78)),add(X_79,X_78)))
| inverse(add(inverse(inverse(X_78)),add(X_79,X_78))) != inverse(add(X_78,add(X_79,X_78)))
| inverse(add(add(X_79,X_78),inverse(inverse(X_78)))) = inverse(add(X_78,add(X_79,X_78))) ),
inference(subst,[],[refute_0_104:[bind(X,$fot(inverse(add(add(X_79,X_78),inverse(inverse(X_78)))))),bind(Y,$fot(inverse(add(inverse(inverse(X_78)),add(X_79,X_78))))),bind(Z,$fot(inverse(add(X_78,add(X_79,X_78)))))]]) ).
cnf(refute_0_1059,plain,
( inverse(add(inverse(inverse(X_78)),add(X_79,X_78))) != inverse(add(X_78,add(X_79,X_78)))
| inverse(add(add(X_79,X_78),inverse(inverse(X_78)))) = inverse(add(X_78,add(X_79,X_78))) ),
inference(resolve,[$cnf( $equal(inverse(add(add(X_79,X_78),inverse(inverse(X_78)))),inverse(add(inverse(inverse(X_78)),add(X_79,X_78)))) )],[refute_0_1057,refute_0_1058]) ).
cnf(refute_0_1060,plain,
inverse(add(add(X_79,X_78),inverse(inverse(X_78)))) = inverse(add(X_78,add(X_79,X_78))),
inference(resolve,[$cnf( $equal(inverse(add(inverse(inverse(X_78)),add(X_79,X_78))),inverse(add(X_78,add(X_79,X_78)))) )],[refute_0_871,refute_0_1059]) ).
cnf(refute_0_1061,plain,
( inverse(add(X_79,X_78)) != inverse(add(add(X_79,X_78),inverse(inverse(X_78))))
| inverse(add(add(X_79,X_78),inverse(inverse(X_78)))) != inverse(add(X_78,add(X_79,X_78)))
| inverse(add(X_79,X_78)) = inverse(add(X_78,add(X_79,X_78))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(inverse(add(X_79,X_78)),inverse(add(X_78,add(X_79,X_78)))) ),[0],$fot(inverse(add(add(X_79,X_78),inverse(inverse(X_78)))))]]) ).
cnf(refute_0_1062,plain,
( inverse(add(X_79,X_78)) != inverse(add(add(X_79,X_78),inverse(inverse(X_78))))
| inverse(add(X_79,X_78)) = inverse(add(X_78,add(X_79,X_78))) ),
inference(resolve,[$cnf( $equal(inverse(add(add(X_79,X_78),inverse(inverse(X_78)))),inverse(add(X_78,add(X_79,X_78)))) )],[refute_0_1060,refute_0_1061]) ).
cnf(refute_0_1063,plain,
inverse(add(X_79,X_78)) = inverse(add(X_78,add(X_79,X_78))),
inference(resolve,[$cnf( $equal(inverse(add(X_79,X_78)),inverse(add(add(X_79,X_78),inverse(inverse(X_78))))) )],[refute_0_863,refute_0_1062]) ).
cnf(refute_0_1064,plain,
inverse(add(X_206,X_205)) = inverse(add(X_205,add(X_206,X_205))),
inference(subst,[],[refute_0_1063:[bind(X_78,$fot(X_205)),bind(X_79,$fot(X_206))]]) ).
cnf(refute_0_1065,plain,
( inverse(add(X_206,X_205)) != inverse(add(X_205,add(X_206,X_205)))
| inverse(add(X_205,add(X_206,X_205))) = inverse(add(X_206,X_205)) ),
inference(subst,[],[refute_0_102:[bind(X,$fot(inverse(add(X_206,X_205)))),bind(Y,$fot(inverse(add(X_205,add(X_206,X_205)))))]]) ).
cnf(refute_0_1066,plain,
inverse(add(X_205,add(X_206,X_205))) = inverse(add(X_206,X_205)),
inference(resolve,[$cnf( $equal(inverse(add(X_206,X_205)),inverse(add(X_205,add(X_206,X_205)))) )],[refute_0_1064,refute_0_1065]) ).
cnf(refute_0_1067,plain,
( inverse(add(X_205,add(X_206,X_205))) != inverse(add(X_206,X_205))
| inverse(inverse(add(X_205,add(X_206,X_205)))) != add(X_205,add(X_206,X_205))
| inverse(inverse(add(X_206,X_205))) = add(X_205,add(X_206,X_205)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(add(X_205,add(X_206,X_205)))),add(X_205,add(X_206,X_205))) ),[0,0],$fot(inverse(add(X_206,X_205)))]]) ).
cnf(refute_0_1068,plain,
( inverse(inverse(add(X_205,add(X_206,X_205)))) != add(X_205,add(X_206,X_205))
| inverse(inverse(add(X_206,X_205))) = add(X_205,add(X_206,X_205)) ),
inference(resolve,[$cnf( $equal(inverse(add(X_205,add(X_206,X_205))),inverse(add(X_206,X_205))) )],[refute_0_1066,refute_0_1067]) ).
cnf(refute_0_1069,plain,
inverse(inverse(add(X_206,X_205))) = add(X_205,add(X_206,X_205)),
inference(resolve,[$cnf( $equal(inverse(inverse(add(X_205,add(X_206,X_205)))),add(X_205,add(X_206,X_205))) )],[refute_0_859,refute_0_1068]) ).
cnf(refute_0_1070,plain,
inverse(inverse(add(X_206,X_205))) = add(X_206,X_205),
inference(subst,[],[refute_0_130:[bind(C,$fot(add(X_206,X_205)))]]) ).
cnf(refute_0_1071,plain,
( inverse(inverse(add(X_206,X_205))) != add(X_205,add(X_206,X_205))
| inverse(inverse(add(X_206,X_205))) != add(X_206,X_205)
| add(X_206,X_205) = add(X_205,add(X_206,X_205)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(add(X_206,X_205))),add(X_205,add(X_206,X_205))) ),[0],$fot(add(X_206,X_205))]]) ).
cnf(refute_0_1072,plain,
( inverse(inverse(add(X_206,X_205))) != add(X_205,add(X_206,X_205))
| add(X_206,X_205) = add(X_205,add(X_206,X_205)) ),
inference(resolve,[$cnf( $equal(inverse(inverse(add(X_206,X_205))),add(X_206,X_205)) )],[refute_0_1070,refute_0_1071]) ).
cnf(refute_0_1073,plain,
add(X_206,X_205) = add(X_205,add(X_206,X_205)),
inference(resolve,[$cnf( $equal(inverse(inverse(add(X_206,X_205))),add(X_205,add(X_206,X_205))) )],[refute_0_1069,refute_0_1072]) ).
cnf(refute_0_1074,plain,
add(X_206,inverse(add(inverse(X_206),X_236))) = add(inverse(add(inverse(X_206),X_236)),add(X_206,inverse(add(inverse(X_206),X_236)))),
inference(subst,[],[refute_0_1073:[bind(X_205,$fot(inverse(add(inverse(X_206),X_236))))]]) ).
cnf(refute_0_1075,plain,
inverse(inverse(add(X_203,inverse(add(inverse(X_203),X_204))))) = add(X_203,inverse(add(inverse(X_203),X_204))),
inference(subst,[],[refute_0_130:[bind(C,$fot(add(X_203,inverse(add(inverse(X_203),X_204)))))]]) ).
cnf(refute_0_1076,plain,
inverse(X_203) = inverse(add(X_203,inverse(add(inverse(X_203),X_204)))),
inference(subst,[],[refute_0_813:[bind(X_106,$fot(X_203)),bind(X_151,$fot(X_204))]]) ).
cnf(refute_0_1077,plain,
( inverse(X_203) != inverse(add(X_203,inverse(add(inverse(X_203),X_204))))
| inverse(add(X_203,inverse(add(inverse(X_203),X_204)))) = inverse(X_203) ),
inference(subst,[],[refute_0_102:[bind(X,$fot(inverse(X_203))),bind(Y,$fot(inverse(add(X_203,inverse(add(inverse(X_203),X_204))))))]]) ).
cnf(refute_0_1078,plain,
inverse(add(X_203,inverse(add(inverse(X_203),X_204)))) = inverse(X_203),
inference(resolve,[$cnf( $equal(inverse(X_203),inverse(add(X_203,inverse(add(inverse(X_203),X_204))))) )],[refute_0_1076,refute_0_1077]) ).
cnf(refute_0_1079,plain,
( inverse(add(X_203,inverse(add(inverse(X_203),X_204)))) != inverse(X_203)
| inverse(inverse(add(X_203,inverse(add(inverse(X_203),X_204))))) != add(X_203,inverse(add(inverse(X_203),X_204)))
| inverse(inverse(X_203)) = add(X_203,inverse(add(inverse(X_203),X_204))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(add(X_203,inverse(add(inverse(X_203),X_204))))),add(X_203,inverse(add(inverse(X_203),X_204)))) ),[0,0],$fot(inverse(X_203))]]) ).
cnf(refute_0_1080,plain,
( inverse(inverse(add(X_203,inverse(add(inverse(X_203),X_204))))) != add(X_203,inverse(add(inverse(X_203),X_204)))
| inverse(inverse(X_203)) = add(X_203,inverse(add(inverse(X_203),X_204))) ),
inference(resolve,[$cnf( $equal(inverse(add(X_203,inverse(add(inverse(X_203),X_204)))),inverse(X_203)) )],[refute_0_1078,refute_0_1079]) ).
cnf(refute_0_1081,plain,
inverse(inverse(X_203)) = add(X_203,inverse(add(inverse(X_203),X_204))),
inference(resolve,[$cnf( $equal(inverse(inverse(add(X_203,inverse(add(inverse(X_203),X_204))))),add(X_203,inverse(add(inverse(X_203),X_204)))) )],[refute_0_1075,refute_0_1080]) ).
cnf(refute_0_1082,plain,
inverse(inverse(X_203)) = X_203,
inference(subst,[],[refute_0_130:[bind(C,$fot(X_203))]]) ).
cnf(refute_0_1083,plain,
( inverse(inverse(X_203)) != X_203
| inverse(inverse(X_203)) != add(X_203,inverse(add(inverse(X_203),X_204)))
| X_203 = add(X_203,inverse(add(inverse(X_203),X_204))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(X_203)),add(X_203,inverse(add(inverse(X_203),X_204)))) ),[0],$fot(X_203)]]) ).
cnf(refute_0_1084,plain,
( inverse(inverse(X_203)) != add(X_203,inverse(add(inverse(X_203),X_204)))
| X_203 = add(X_203,inverse(add(inverse(X_203),X_204))) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_203)),X_203) )],[refute_0_1082,refute_0_1083]) ).
cnf(refute_0_1085,plain,
X_203 = add(X_203,inverse(add(inverse(X_203),X_204))),
inference(resolve,[$cnf( $equal(inverse(inverse(X_203)),add(X_203,inverse(add(inverse(X_203),X_204)))) )],[refute_0_1081,refute_0_1084]) ).
cnf(refute_0_1086,plain,
X_206 = add(X_206,inverse(add(inverse(X_206),X_236))),
inference(subst,[],[refute_0_1085:[bind(X_203,$fot(X_206)),bind(X_204,$fot(X_236))]]) ).
cnf(refute_0_1087,plain,
( X_206 != add(X_206,inverse(add(inverse(X_206),X_236)))
| add(X_206,inverse(add(inverse(X_206),X_236))) = X_206 ),
inference(subst,[],[refute_0_102:[bind(X,$fot(X_206)),bind(Y,$fot(add(X_206,inverse(add(inverse(X_206),X_236)))))]]) ).
cnf(refute_0_1088,plain,
add(X_206,inverse(add(inverse(X_206),X_236))) = X_206,
inference(resolve,[$cnf( $equal(X_206,add(X_206,inverse(add(inverse(X_206),X_236)))) )],[refute_0_1086,refute_0_1087]) ).
cnf(refute_0_1089,plain,
( add(X_206,inverse(add(inverse(X_206),X_236))) != X_206
| add(X_206,inverse(add(inverse(X_206),X_236))) != add(inverse(add(inverse(X_206),X_236)),add(X_206,inverse(add(inverse(X_206),X_236))))
| add(X_206,inverse(add(inverse(X_206),X_236))) = add(inverse(add(inverse(X_206),X_236)),X_206) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_206,inverse(add(inverse(X_206),X_236))),add(inverse(add(inverse(X_206),X_236)),add(X_206,inverse(add(inverse(X_206),X_236))))) ),[1,1],$fot(X_206)]]) ).
cnf(refute_0_1090,plain,
( add(X_206,inverse(add(inverse(X_206),X_236))) != add(inverse(add(inverse(X_206),X_236)),add(X_206,inverse(add(inverse(X_206),X_236))))
| add(X_206,inverse(add(inverse(X_206),X_236))) = add(inverse(add(inverse(X_206),X_236)),X_206) ),
inference(resolve,[$cnf( $equal(add(X_206,inverse(add(inverse(X_206),X_236))),X_206) )],[refute_0_1088,refute_0_1089]) ).
cnf(refute_0_1091,plain,
add(X_206,inverse(add(inverse(X_206),X_236))) = add(inverse(add(inverse(X_206),X_236)),X_206),
inference(resolve,[$cnf( $equal(add(X_206,inverse(add(inverse(X_206),X_236))),add(inverse(add(inverse(X_206),X_236)),add(X_206,inverse(add(inverse(X_206),X_236))))) )],[refute_0_1074,refute_0_1090]) ).
cnf(refute_0_1092,plain,
( add(X_206,inverse(add(inverse(X_206),X_236))) != X_206
| add(X_206,inverse(add(inverse(X_206),X_236))) != add(inverse(add(inverse(X_206),X_236)),X_206)
| X_206 = add(inverse(add(inverse(X_206),X_236)),X_206) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_206,inverse(add(inverse(X_206),X_236))),add(inverse(add(inverse(X_206),X_236)),X_206)) ),[0],$fot(X_206)]]) ).
cnf(refute_0_1093,plain,
( add(X_206,inverse(add(inverse(X_206),X_236))) != add(inverse(add(inverse(X_206),X_236)),X_206)
| X_206 = add(inverse(add(inverse(X_206),X_236)),X_206) ),
inference(resolve,[$cnf( $equal(add(X_206,inverse(add(inverse(X_206),X_236))),X_206) )],[refute_0_1088,refute_0_1092]) ).
cnf(refute_0_1094,plain,
X_206 = add(inverse(add(inverse(X_206),X_236)),X_206),
inference(resolve,[$cnf( $equal(add(X_206,inverse(add(inverse(X_206),X_236))),add(inverse(add(inverse(X_206),X_236)),X_206)) )],[refute_0_1091,refute_0_1093]) ).
cnf(refute_0_1095,plain,
X_240 = add(inverse(add(inverse(X_240),X_241)),X_240),
inference(subst,[],[refute_0_1094:[bind(X_206,$fot(X_240)),bind(X_236,$fot(X_241))]]) ).
cnf(refute_0_1096,plain,
( X_240 != add(inverse(add(inverse(X_240),X_241)),X_240)
| add(inverse(add(inverse(X_240),X_241)),X_240) = X_240 ),
inference(subst,[],[refute_0_102:[bind(X,$fot(X_240)),bind(Y,$fot(add(inverse(add(inverse(X_240),X_241)),X_240)))]]) ).
cnf(refute_0_1097,plain,
add(inverse(add(inverse(X_240),X_241)),X_240) = X_240,
inference(resolve,[$cnf( $equal(X_240,add(inverse(add(inverse(X_240),X_241)),X_240)) )],[refute_0_1095,refute_0_1096]) ).
cnf(refute_0_1098,plain,
( add(inverse(add(inverse(X_240),X_241)),X_240) != X_240
| inverse(add(X_241,inverse(add(inverse(add(inverse(inverse(X_240)),X_241)),inverse(add(inverse(add(inverse(X_240),X_241)),X_240)))))) != inverse(add(inverse(inverse(X_240)),X_241))
| inverse(add(X_241,inverse(add(inverse(add(inverse(inverse(X_240)),X_241)),inverse(X_240))))) = inverse(add(inverse(inverse(X_240)),X_241)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(add(X_241,inverse(add(inverse(add(inverse(inverse(X_240)),X_241)),inverse(add(inverse(add(inverse(X_240),X_241)),X_240)))))),inverse(add(inverse(inverse(X_240)),X_241))) ),[0,0,1,0,1,0],$fot(X_240)]]) ).
cnf(refute_0_1099,plain,
( inverse(add(X_241,inverse(add(inverse(add(inverse(inverse(X_240)),X_241)),inverse(add(inverse(add(inverse(X_240),X_241)),X_240)))))) != inverse(add(inverse(inverse(X_240)),X_241))
| inverse(add(X_241,inverse(add(inverse(add(inverse(inverse(X_240)),X_241)),inverse(X_240))))) = inverse(add(inverse(inverse(X_240)),X_241)) ),
inference(resolve,[$cnf( $equal(add(inverse(add(inverse(X_240),X_241)),X_240),X_240) )],[refute_0_1097,refute_0_1098]) ).
cnf(refute_0_1100,plain,
inverse(add(X_241,inverse(add(inverse(add(inverse(inverse(X_240)),X_241)),inverse(X_240))))) = inverse(add(inverse(inverse(X_240)),X_241)),
inference(resolve,[$cnf( $equal(inverse(add(X_241,inverse(add(inverse(add(inverse(inverse(X_240)),X_241)),inverse(add(inverse(add(inverse(X_240),X_241)),X_240)))))),inverse(add(inverse(inverse(X_240)),X_241))) )],[refute_0_858,refute_0_1099]) ).
cnf(refute_0_1101,plain,
inverse(inverse(X_240)) = X_240,
inference(subst,[],[refute_0_130:[bind(C,$fot(X_240))]]) ).
cnf(refute_0_1102,plain,
( X_203 != add(X_203,inverse(add(inverse(X_203),X_204)))
| add(X_203,inverse(add(inverse(X_203),X_204))) = X_203 ),
inference(subst,[],[refute_0_102:[bind(X,$fot(X_203)),bind(Y,$fot(add(X_203,inverse(add(inverse(X_203),X_204)))))]]) ).
cnf(refute_0_1103,plain,
add(X_203,inverse(add(inverse(X_203),X_204))) = X_203,
inference(resolve,[$cnf( $equal(X_203,add(X_203,inverse(add(inverse(X_203),X_204)))) )],[refute_0_1085,refute_0_1102]) ).
cnf(refute_0_1104,plain,
add(inverse(X_240),inverse(add(inverse(inverse(X_240)),X_241))) = inverse(X_240),
inference(subst,[],[refute_0_1103:[bind(X_203,$fot(inverse(X_240))),bind(X_204,$fot(X_241))]]) ).
cnf(refute_0_1105,plain,
inverse(add(inverse(X_240),inverse(add(inverse(inverse(X_240)),X_241)))) = inverse(add(inverse(X_240),inverse(add(inverse(inverse(X_240)),X_241)))),
introduced(tautology,[refl,[$fot(inverse(add(inverse(X_240),inverse(add(inverse(inverse(X_240)),X_241)))))]]) ).
cnf(refute_0_1106,plain,
( add(inverse(X_240),inverse(add(inverse(inverse(X_240)),X_241))) != inverse(X_240)
| inverse(add(inverse(X_240),inverse(add(inverse(inverse(X_240)),X_241)))) != inverse(add(inverse(X_240),inverse(add(inverse(inverse(X_240)),X_241))))
| inverse(add(inverse(X_240),inverse(add(inverse(inverse(X_240)),X_241)))) = inverse(inverse(X_240)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(X_240),inverse(add(inverse(inverse(X_240)),X_241)))),inverse(add(inverse(X_240),inverse(add(inverse(inverse(X_240)),X_241))))) ),[1,0],$fot(inverse(X_240))]]) ).
cnf(refute_0_1107,plain,
( add(inverse(X_240),inverse(add(inverse(inverse(X_240)),X_241))) != inverse(X_240)
| inverse(add(inverse(X_240),inverse(add(inverse(inverse(X_240)),X_241)))) = inverse(inverse(X_240)) ),
inference(resolve,[$cnf( $equal(inverse(add(inverse(X_240),inverse(add(inverse(inverse(X_240)),X_241)))),inverse(add(inverse(X_240),inverse(add(inverse(inverse(X_240)),X_241))))) )],[refute_0_1105,refute_0_1106]) ).
cnf(refute_0_1108,plain,
inverse(add(inverse(X_240),inverse(add(inverse(inverse(X_240)),X_241)))) = inverse(inverse(X_240)),
inference(resolve,[$cnf( $equal(add(inverse(X_240),inverse(add(inverse(inverse(X_240)),X_241))),inverse(X_240)) )],[refute_0_1104,refute_0_1107]) ).
cnf(refute_0_1109,plain,
( inverse(add(inverse(X_240),inverse(add(inverse(inverse(X_240)),X_241)))) != inverse(inverse(X_240))
| inverse(inverse(X_240)) != X_240
| inverse(add(inverse(X_240),inverse(add(inverse(inverse(X_240)),X_241)))) = X_240 ),
inference(subst,[],[refute_0_104:[bind(X,$fot(inverse(add(inverse(X_240),inverse(add(inverse(inverse(X_240)),X_241)))))),bind(Y,$fot(inverse(inverse(X_240)))),bind(Z,$fot(X_240))]]) ).
cnf(refute_0_1110,plain,
( inverse(inverse(X_240)) != X_240
| inverse(add(inverse(X_240),inverse(add(inverse(inverse(X_240)),X_241)))) = X_240 ),
inference(resolve,[$cnf( $equal(inverse(add(inverse(X_240),inverse(add(inverse(inverse(X_240)),X_241)))),inverse(inverse(X_240))) )],[refute_0_1108,refute_0_1109]) ).
cnf(refute_0_1111,plain,
inverse(add(inverse(X_240),inverse(add(inverse(inverse(X_240)),X_241)))) = X_240,
inference(resolve,[$cnf( $equal(inverse(inverse(X_240)),X_240) )],[refute_0_1101,refute_0_1110]) ).
cnf(refute_0_1112,plain,
inverse(add(inverse(add(inverse(inverse(X_240)),X_241)),inverse(X_240))) = inverse(add(inverse(X_240),inverse(add(inverse(inverse(X_240)),X_241)))),
inference(subst,[],[refute_0_1056:[bind(X_132,$fot(inverse(X_240))),bind(X_134,$fot(inverse(add(inverse(inverse(X_240)),X_241))))]]) ).
cnf(refute_0_1113,plain,
( inverse(add(inverse(X_240),inverse(add(inverse(inverse(X_240)),X_241)))) != X_240
| inverse(add(inverse(add(inverse(inverse(X_240)),X_241)),inverse(X_240))) != inverse(add(inverse(X_240),inverse(add(inverse(inverse(X_240)),X_241))))
| inverse(add(inverse(add(inverse(inverse(X_240)),X_241)),inverse(X_240))) = X_240 ),
inference(subst,[],[refute_0_104:[bind(X,$fot(inverse(add(inverse(add(inverse(inverse(X_240)),X_241)),inverse(X_240))))),bind(Y,$fot(inverse(add(inverse(X_240),inverse(add(inverse(inverse(X_240)),X_241)))))),bind(Z,$fot(X_240))]]) ).
cnf(refute_0_1114,plain,
( inverse(add(inverse(X_240),inverse(add(inverse(inverse(X_240)),X_241)))) != X_240
| inverse(add(inverse(add(inverse(inverse(X_240)),X_241)),inverse(X_240))) = X_240 ),
inference(resolve,[$cnf( $equal(inverse(add(inverse(add(inverse(inverse(X_240)),X_241)),inverse(X_240))),inverse(add(inverse(X_240),inverse(add(inverse(inverse(X_240)),X_241))))) )],[refute_0_1112,refute_0_1113]) ).
cnf(refute_0_1115,plain,
inverse(add(inverse(add(inverse(inverse(X_240)),X_241)),inverse(X_240))) = X_240,
inference(resolve,[$cnf( $equal(inverse(add(inverse(X_240),inverse(add(inverse(inverse(X_240)),X_241)))),X_240) )],[refute_0_1111,refute_0_1114]) ).
cnf(refute_0_1116,plain,
add(X_241,inverse(add(inverse(add(inverse(inverse(X_240)),X_241)),inverse(X_240)))) = add(X_241,inverse(add(inverse(add(inverse(inverse(X_240)),X_241)),inverse(X_240)))),
introduced(tautology,[refl,[$fot(add(X_241,inverse(add(inverse(add(inverse(inverse(X_240)),X_241)),inverse(X_240)))))]]) ).
cnf(refute_0_1117,plain,
( add(X_241,inverse(add(inverse(add(inverse(inverse(X_240)),X_241)),inverse(X_240)))) != add(X_241,inverse(add(inverse(add(inverse(inverse(X_240)),X_241)),inverse(X_240))))
| inverse(add(inverse(add(inverse(inverse(X_240)),X_241)),inverse(X_240))) != X_240
| add(X_241,inverse(add(inverse(add(inverse(inverse(X_240)),X_241)),inverse(X_240)))) = add(X_241,X_240) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_241,inverse(add(inverse(add(inverse(inverse(X_240)),X_241)),inverse(X_240)))),add(X_241,inverse(add(inverse(add(inverse(inverse(X_240)),X_241)),inverse(X_240))))) ),[1,1],$fot(X_240)]]) ).
cnf(refute_0_1118,plain,
( inverse(add(inverse(add(inverse(inverse(X_240)),X_241)),inverse(X_240))) != X_240
| add(X_241,inverse(add(inverse(add(inverse(inverse(X_240)),X_241)),inverse(X_240)))) = add(X_241,X_240) ),
inference(resolve,[$cnf( $equal(add(X_241,inverse(add(inverse(add(inverse(inverse(X_240)),X_241)),inverse(X_240)))),add(X_241,inverse(add(inverse(add(inverse(inverse(X_240)),X_241)),inverse(X_240))))) )],[refute_0_1116,refute_0_1117]) ).
cnf(refute_0_1119,plain,
add(X_241,inverse(add(inverse(add(inverse(inverse(X_240)),X_241)),inverse(X_240)))) = add(X_241,X_240),
inference(resolve,[$cnf( $equal(inverse(add(inverse(add(inverse(inverse(X_240)),X_241)),inverse(X_240))),X_240) )],[refute_0_1115,refute_0_1118]) ).
cnf(refute_0_1120,plain,
inverse(add(X_241,inverse(add(inverse(add(inverse(inverse(X_240)),X_241)),inverse(X_240))))) = inverse(add(X_241,inverse(add(inverse(add(inverse(inverse(X_240)),X_241)),inverse(X_240))))),
introduced(tautology,[refl,[$fot(inverse(add(X_241,inverse(add(inverse(add(inverse(inverse(X_240)),X_241)),inverse(X_240))))))]]) ).
cnf(refute_0_1121,plain,
( add(X_241,inverse(add(inverse(add(inverse(inverse(X_240)),X_241)),inverse(X_240)))) != add(X_241,X_240)
| inverse(add(X_241,inverse(add(inverse(add(inverse(inverse(X_240)),X_241)),inverse(X_240))))) != inverse(add(X_241,inverse(add(inverse(add(inverse(inverse(X_240)),X_241)),inverse(X_240)))))
| inverse(add(X_241,inverse(add(inverse(add(inverse(inverse(X_240)),X_241)),inverse(X_240))))) = inverse(add(X_241,X_240)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(add(X_241,inverse(add(inverse(add(inverse(inverse(X_240)),X_241)),inverse(X_240))))),inverse(add(X_241,inverse(add(inverse(add(inverse(inverse(X_240)),X_241)),inverse(X_240)))))) ),[1,0],$fot(add(X_241,X_240))]]) ).
cnf(refute_0_1122,plain,
( add(X_241,inverse(add(inverse(add(inverse(inverse(X_240)),X_241)),inverse(X_240)))) != add(X_241,X_240)
| inverse(add(X_241,inverse(add(inverse(add(inverse(inverse(X_240)),X_241)),inverse(X_240))))) = inverse(add(X_241,X_240)) ),
inference(resolve,[$cnf( $equal(inverse(add(X_241,inverse(add(inverse(add(inverse(inverse(X_240)),X_241)),inverse(X_240))))),inverse(add(X_241,inverse(add(inverse(add(inverse(inverse(X_240)),X_241)),inverse(X_240)))))) )],[refute_0_1120,refute_0_1121]) ).
cnf(refute_0_1123,plain,
inverse(add(X_241,inverse(add(inverse(add(inverse(inverse(X_240)),X_241)),inverse(X_240))))) = inverse(add(X_241,X_240)),
inference(resolve,[$cnf( $equal(add(X_241,inverse(add(inverse(add(inverse(inverse(X_240)),X_241)),inverse(X_240)))),add(X_241,X_240)) )],[refute_0_1119,refute_0_1122]) ).
cnf(refute_0_1124,plain,
( inverse(add(X_241,inverse(add(inverse(add(inverse(inverse(X_240)),X_241)),inverse(X_240))))) != inverse(add(X_241,X_240))
| inverse(add(X_241,inverse(add(inverse(add(inverse(inverse(X_240)),X_241)),inverse(X_240))))) != inverse(add(inverse(inverse(X_240)),X_241))
| inverse(add(X_241,X_240)) = inverse(add(inverse(inverse(X_240)),X_241)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(add(X_241,inverse(add(inverse(add(inverse(inverse(X_240)),X_241)),inverse(X_240))))),inverse(add(inverse(inverse(X_240)),X_241))) ),[0],$fot(inverse(add(X_241,X_240)))]]) ).
cnf(refute_0_1125,plain,
( inverse(add(X_241,inverse(add(inverse(add(inverse(inverse(X_240)),X_241)),inverse(X_240))))) != inverse(add(inverse(inverse(X_240)),X_241))
| inverse(add(X_241,X_240)) = inverse(add(inverse(inverse(X_240)),X_241)) ),
inference(resolve,[$cnf( $equal(inverse(add(X_241,inverse(add(inverse(add(inverse(inverse(X_240)),X_241)),inverse(X_240))))),inverse(add(X_241,X_240))) )],[refute_0_1123,refute_0_1124]) ).
cnf(refute_0_1126,plain,
add(inverse(inverse(X_240)),X_241) = add(inverse(inverse(X_240)),X_241),
introduced(tautology,[refl,[$fot(add(inverse(inverse(X_240)),X_241))]]) ).
cnf(refute_0_1127,plain,
( add(inverse(inverse(X_240)),X_241) != add(inverse(inverse(X_240)),X_241)
| inverse(inverse(X_240)) != X_240
| add(inverse(inverse(X_240)),X_241) = add(X_240,X_241) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(inverse(X_240)),X_241),add(inverse(inverse(X_240)),X_241)) ),[1,0],$fot(X_240)]]) ).
cnf(refute_0_1128,plain,
( inverse(inverse(X_240)) != X_240
| add(inverse(inverse(X_240)),X_241) = add(X_240,X_241) ),
inference(resolve,[$cnf( $equal(add(inverse(inverse(X_240)),X_241),add(inverse(inverse(X_240)),X_241)) )],[refute_0_1126,refute_0_1127]) ).
cnf(refute_0_1129,plain,
add(inverse(inverse(X_240)),X_241) = add(X_240,X_241),
inference(resolve,[$cnf( $equal(inverse(inverse(X_240)),X_240) )],[refute_0_1101,refute_0_1128]) ).
cnf(refute_0_1130,plain,
inverse(add(inverse(inverse(X_240)),X_241)) = inverse(add(inverse(inverse(X_240)),X_241)),
introduced(tautology,[refl,[$fot(inverse(add(inverse(inverse(X_240)),X_241)))]]) ).
cnf(refute_0_1131,plain,
( add(inverse(inverse(X_240)),X_241) != add(X_240,X_241)
| inverse(add(inverse(inverse(X_240)),X_241)) != inverse(add(inverse(inverse(X_240)),X_241))
| inverse(add(inverse(inverse(X_240)),X_241)) = inverse(add(X_240,X_241)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(inverse(X_240)),X_241)),inverse(add(inverse(inverse(X_240)),X_241))) ),[1,0],$fot(add(X_240,X_241))]]) ).
cnf(refute_0_1132,plain,
( add(inverse(inverse(X_240)),X_241) != add(X_240,X_241)
| inverse(add(inverse(inverse(X_240)),X_241)) = inverse(add(X_240,X_241)) ),
inference(resolve,[$cnf( $equal(inverse(add(inverse(inverse(X_240)),X_241)),inverse(add(inverse(inverse(X_240)),X_241))) )],[refute_0_1130,refute_0_1131]) ).
cnf(refute_0_1133,plain,
inverse(add(inverse(inverse(X_240)),X_241)) = inverse(add(X_240,X_241)),
inference(resolve,[$cnf( $equal(add(inverse(inverse(X_240)),X_241),add(X_240,X_241)) )],[refute_0_1129,refute_0_1132]) ).
cnf(refute_0_1134,plain,
( inverse(add(X_241,X_240)) != inverse(add(inverse(inverse(X_240)),X_241))
| inverse(add(inverse(inverse(X_240)),X_241)) != inverse(add(X_240,X_241))
| inverse(add(X_241,X_240)) = inverse(add(X_240,X_241)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(inverse(add(X_241,X_240)),inverse(add(X_240,X_241))) ),[0],$fot(inverse(add(inverse(inverse(X_240)),X_241)))]]) ).
cnf(refute_0_1135,plain,
( inverse(add(X_241,X_240)) != inverse(add(inverse(inverse(X_240)),X_241))
| inverse(add(X_241,X_240)) = inverse(add(X_240,X_241)) ),
inference(resolve,[$cnf( $equal(inverse(add(inverse(inverse(X_240)),X_241)),inverse(add(X_240,X_241))) )],[refute_0_1133,refute_0_1134]) ).
cnf(refute_0_1136,plain,
( inverse(add(X_241,inverse(add(inverse(add(inverse(inverse(X_240)),X_241)),inverse(X_240))))) != inverse(add(inverse(inverse(X_240)),X_241))
| inverse(add(X_241,X_240)) = inverse(add(X_240,X_241)) ),
inference(resolve,[$cnf( $equal(inverse(add(X_241,X_240)),inverse(add(inverse(inverse(X_240)),X_241))) )],[refute_0_1125,refute_0_1135]) ).
cnf(refute_0_1137,plain,
inverse(add(X_241,X_240)) = inverse(add(X_240,X_241)),
inference(resolve,[$cnf( $equal(inverse(add(X_241,inverse(add(inverse(add(inverse(inverse(X_240)),X_241)),inverse(X_240))))),inverse(add(inverse(inverse(X_240)),X_241))) )],[refute_0_1100,refute_0_1136]) ).
cnf(refute_0_1138,plain,
inverse(add(X_243,X_242)) = inverse(add(X_242,X_243)),
inference(subst,[],[refute_0_1137:[bind(X_240,$fot(X_242)),bind(X_241,$fot(X_243))]]) ).
cnf(refute_0_1139,plain,
( inverse(add(X_243,X_242)) != inverse(add(X_242,X_243))
| inverse(inverse(add(X_243,X_242))) != add(X_243,X_242)
| inverse(inverse(add(X_242,X_243))) = add(X_243,X_242) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(add(X_243,X_242))),add(X_243,X_242)) ),[0,0],$fot(inverse(add(X_242,X_243)))]]) ).
cnf(refute_0_1140,plain,
( inverse(inverse(add(X_243,X_242))) != add(X_243,X_242)
| inverse(inverse(add(X_242,X_243))) = add(X_243,X_242) ),
inference(resolve,[$cnf( $equal(inverse(add(X_243,X_242)),inverse(add(X_242,X_243))) )],[refute_0_1138,refute_0_1139]) ).
cnf(refute_0_1141,plain,
inverse(inverse(add(X_242,X_243))) = add(X_243,X_242),
inference(resolve,[$cnf( $equal(inverse(inverse(add(X_243,X_242))),add(X_243,X_242)) )],[refute_0_131,refute_0_1140]) ).
cnf(refute_0_1142,plain,
inverse(inverse(add(X_242,X_243))) = add(X_242,X_243),
inference(subst,[],[refute_0_130:[bind(C,$fot(add(X_242,X_243)))]]) ).
cnf(refute_0_1143,plain,
( inverse(inverse(add(X_242,X_243))) != add(X_242,X_243)
| inverse(inverse(add(X_242,X_243))) != add(X_243,X_242)
| add(X_242,X_243) = add(X_243,X_242) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(add(X_242,X_243))),add(X_243,X_242)) ),[0],$fot(add(X_242,X_243))]]) ).
cnf(refute_0_1144,plain,
( inverse(inverse(add(X_242,X_243))) != add(X_243,X_242)
| add(X_242,X_243) = add(X_243,X_242) ),
inference(resolve,[$cnf( $equal(inverse(inverse(add(X_242,X_243))),add(X_242,X_243)) )],[refute_0_1142,refute_0_1143]) ).
cnf(refute_0_1145,plain,
add(X_242,X_243) = add(X_243,X_242),
inference(resolve,[$cnf( $equal(inverse(inverse(add(X_242,X_243))),add(X_243,X_242)) )],[refute_0_1141,refute_0_1144]) ).
cnf(refute_0_1146,plain,
( add(X_242,X_243) != add(X_243,X_242)
| add(X_243,X_242) = add(X_242,X_243) ),
inference(subst,[],[refute_0_102:[bind(X,$fot(add(X_242,X_243))),bind(Y,$fot(add(X_243,X_242)))]]) ).
cnf(refute_0_1147,plain,
add(X_243,X_242) = add(X_242,X_243),
inference(resolve,[$cnf( $equal(add(X_242,X_243),add(X_243,X_242)) )],[refute_0_1145,refute_0_1146]) ).
cnf(refute_0_1148,plain,
add(b,a) = add(a,b),
inference(subst,[],[refute_0_1147:[bind(X_242,$fot(a)),bind(X_243,$fot(b))]]) ).
cnf(refute_0_1149,plain,
( add(a,b) != add(a,b)
| add(b,a) != add(a,b)
| add(b,a) = add(a,b) ),
introduced(tautology,[equality,[$cnf( $equal(add(b,a),add(a,b)) ),[1],$fot(add(a,b))]]) ).
cnf(refute_0_1150,plain,
( add(a,b) != add(a,b)
| add(b,a) = add(a,b) ),
inference(resolve,[$cnf( $equal(add(b,a),add(a,b)) )],[refute_0_1148,refute_0_1149]) ).
cnf(refute_0_1151,plain,
add(a,b) != add(a,b),
inference(resolve,[$cnf( $equal(add(b,a),add(a,b)) )],[refute_0_1150,huntinton_1]) ).
cnf(refute_0_1152,plain,
add(a,b) = add(a,b),
introduced(tautology,[refl,[$fot(add(a,b))]]) ).
cnf(refute_0_1153,plain,
$false,
inference(resolve,[$cnf( $equal(add(a,b),add(a,b)) )],[refute_0_1152,refute_0_1151]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : BOO072-1 : TPTP v8.1.0. Released v2.6.0.
% 0.04/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.35 % Computer : n019.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Wed Jun 1 20:23:25 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 1.99/2.20 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.99/2.20
% 1.99/2.20 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.28/2.49
%------------------------------------------------------------------------------