TSTP Solution File: LAT091-1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : LAT091-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n020.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 : Sun Jul 17 05:59:52 EDT 2022
% Result : Unsatisfiable 1.18s 1.35s
% Output : CNFRefutation 1.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 124
% Number of leaves : 205
% Syntax : Number of clauses : 680 ( 328 unt; 0 nHn; 351 RR)
% Number of literals : 1200 (1199 equ; 522 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 9 ( 2 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 : 1311 ( 82 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(wal_absorbtion_1,axiom,
join(meet(A,B),meet(A,join(A,B))) = A ).
cnf(wal_absorbtion_2,axiom,
join(meet(A,A),meet(B,join(A,A))) = A ).
cnf(wal_absorbtion_3,axiom,
join(meet(A,B),meet(B,join(A,B))) = B ).
cnf(wal_absorbtion_4,axiom,
meet(meet(join(A,B),join(C,A)),A) = A ).
cnf(wal_absorbtion_5,axiom,
join(join(meet(A,B),meet(C,A)),A) = A ).
cnf(prove_normal_axioms_4,negated_conjecture,
join(b,a) != join(a,b) ).
cnf(refute_0_0,plain,
join(join(meet(join(X_85,B),B),meet(C,join(X_85,B))),join(X_85,B)) = join(X_85,B),
inference(subst,[],[wal_absorbtion_5:[bind(A,$fot(join(X_85,B)))]]) ).
cnf(refute_0_1,plain,
meet(meet(join(meet(A,B),meet(B,join(A,B))),join(X_10,meet(A,B))),meet(A,B)) = meet(A,B),
inference(subst,[],[wal_absorbtion_4:[bind(A,$fot(meet(A,B))),bind(B,$fot(meet(B,join(A,B)))),bind(C,$fot(X_10))]]) ).
cnf(refute_0_2,plain,
( join(meet(A,B),meet(B,join(A,B))) != B
| meet(meet(join(meet(A,B),meet(B,join(A,B))),join(X_10,meet(A,B))),meet(A,B)) != meet(A,B)
| meet(meet(B,join(X_10,meet(A,B))),meet(A,B)) = meet(A,B) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(join(meet(A,B),meet(B,join(A,B))),join(X_10,meet(A,B))),meet(A,B)),meet(A,B)) ),[0,0,0],$fot(B)]]) ).
cnf(refute_0_3,plain,
( meet(meet(join(meet(A,B),meet(B,join(A,B))),join(X_10,meet(A,B))),meet(A,B)) != meet(A,B)
| meet(meet(B,join(X_10,meet(A,B))),meet(A,B)) = meet(A,B) ),
inference(resolve,[$cnf( $equal(join(meet(A,B),meet(B,join(A,B))),B) )],[wal_absorbtion_3,refute_0_2]) ).
cnf(refute_0_4,plain,
meet(meet(B,join(X_10,meet(A,B))),meet(A,B)) = meet(A,B),
inference(resolve,[$cnf( $equal(meet(meet(join(meet(A,B),meet(B,join(A,B))),join(X_10,meet(A,B))),meet(A,B)),meet(A,B)) )],[refute_0_1,refute_0_3]) ).
cnf(refute_0_5,plain,
meet(meet(join(A,X_44),join(meet(A,X_44),meet(X_44,join(A,X_44)))),meet(X_44,join(A,X_44))) = meet(X_44,join(A,X_44)),
inference(subst,[],[refute_0_4:[bind(A,$fot(X_44)),bind(B,$fot(join(A,X_44))),bind(X_10,$fot(meet(A,X_44)))]]) ).
cnf(refute_0_6,plain,
join(meet(A,X_44),meet(X_44,join(A,X_44))) = X_44,
inference(subst,[],[wal_absorbtion_3:[bind(B,$fot(X_44))]]) ).
cnf(refute_0_7,plain,
( join(meet(A,X_44),meet(X_44,join(A,X_44))) != X_44
| meet(meet(join(A,X_44),join(meet(A,X_44),meet(X_44,join(A,X_44)))),meet(X_44,join(A,X_44))) != meet(X_44,join(A,X_44))
| meet(meet(join(A,X_44),X_44),meet(X_44,join(A,X_44))) = meet(X_44,join(A,X_44)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(join(A,X_44),join(meet(A,X_44),meet(X_44,join(A,X_44)))),meet(X_44,join(A,X_44))),meet(X_44,join(A,X_44))) ),[0,0,1],$fot(X_44)]]) ).
cnf(refute_0_8,plain,
( meet(meet(join(A,X_44),join(meet(A,X_44),meet(X_44,join(A,X_44)))),meet(X_44,join(A,X_44))) != meet(X_44,join(A,X_44))
| meet(meet(join(A,X_44),X_44),meet(X_44,join(A,X_44))) = meet(X_44,join(A,X_44)) ),
inference(resolve,[$cnf( $equal(join(meet(A,X_44),meet(X_44,join(A,X_44))),X_44) )],[refute_0_6,refute_0_7]) ).
cnf(refute_0_9,plain,
meet(meet(join(A,X_44),X_44),meet(X_44,join(A,X_44))) = meet(X_44,join(A,X_44)),
inference(resolve,[$cnf( $equal(meet(meet(join(A,X_44),join(meet(A,X_44),meet(X_44,join(A,X_44)))),meet(X_44,join(A,X_44))),meet(X_44,join(A,X_44))) )],[refute_0_5,refute_0_8]) ).
cnf(refute_0_10,plain,
join(meet(meet(X_2,X_3),meet(X_3,join(X_2,X_3))),meet(meet(X_3,join(X_2,X_3)),join(meet(X_2,X_3),meet(X_3,join(X_2,X_3))))) = meet(X_3,join(X_2,X_3)),
inference(subst,[],[wal_absorbtion_3:[bind(A,$fot(meet(X_2,X_3))),bind(B,$fot(meet(X_3,join(X_2,X_3))))]]) ).
cnf(refute_0_11,plain,
join(meet(X_2,X_3),meet(X_3,join(X_2,X_3))) = X_3,
inference(subst,[],[wal_absorbtion_3:[bind(A,$fot(X_2)),bind(B,$fot(X_3))]]) ).
cnf(refute_0_12,plain,
( join(meet(X_2,X_3),meet(X_3,join(X_2,X_3))) != X_3
| join(meet(meet(X_2,X_3),meet(X_3,join(X_2,X_3))),meet(meet(X_3,join(X_2,X_3)),join(meet(X_2,X_3),meet(X_3,join(X_2,X_3))))) != meet(X_3,join(X_2,X_3))
| join(meet(meet(X_2,X_3),meet(X_3,join(X_2,X_3))),meet(meet(X_3,join(X_2,X_3)),X_3)) = meet(X_3,join(X_2,X_3)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(X_2,X_3),meet(X_3,join(X_2,X_3))),meet(meet(X_3,join(X_2,X_3)),join(meet(X_2,X_3),meet(X_3,join(X_2,X_3))))),meet(X_3,join(X_2,X_3))) ),[0,1,1],$fot(X_3)]]) ).
cnf(refute_0_13,plain,
( join(meet(meet(X_2,X_3),meet(X_3,join(X_2,X_3))),meet(meet(X_3,join(X_2,X_3)),join(meet(X_2,X_3),meet(X_3,join(X_2,X_3))))) != meet(X_3,join(X_2,X_3))
| join(meet(meet(X_2,X_3),meet(X_3,join(X_2,X_3))),meet(meet(X_3,join(X_2,X_3)),X_3)) = meet(X_3,join(X_2,X_3)) ),
inference(resolve,[$cnf( $equal(join(meet(X_2,X_3),meet(X_3,join(X_2,X_3))),X_3) )],[refute_0_11,refute_0_12]) ).
cnf(refute_0_14,plain,
join(meet(meet(X_2,X_3),meet(X_3,join(X_2,X_3))),meet(meet(X_3,join(X_2,X_3)),X_3)) = meet(X_3,join(X_2,X_3)),
inference(resolve,[$cnf( $equal(join(meet(meet(X_2,X_3),meet(X_3,join(X_2,X_3))),meet(meet(X_3,join(X_2,X_3)),join(meet(X_2,X_3),meet(X_3,join(X_2,X_3))))),meet(X_3,join(X_2,X_3))) )],[refute_0_10,refute_0_13]) ).
cnf(refute_0_15,plain,
join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),join(meet(A,A),meet(B,join(A,A))))),meet(meet(meet(B,join(A,A)),join(meet(A,A),meet(B,join(A,A)))),meet(B,join(A,A)))) = meet(meet(B,join(A,A)),join(meet(A,A),meet(B,join(A,A)))),
inference(subst,[],[refute_0_14:[bind(X_2,$fot(meet(A,A))),bind(X_3,$fot(meet(B,join(A,A))))]]) ).
cnf(refute_0_16,plain,
( join(meet(A,A),meet(B,join(A,A))) != A
| join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),join(meet(A,A),meet(B,join(A,A))))),meet(meet(meet(B,join(A,A)),join(meet(A,A),meet(B,join(A,A)))),meet(B,join(A,A)))) != meet(meet(B,join(A,A)),join(meet(A,A),meet(B,join(A,A))))
| join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),join(meet(A,A),meet(B,join(A,A))))),meet(meet(meet(B,join(A,A)),A),meet(B,join(A,A)))) = meet(meet(B,join(A,A)),join(meet(A,A),meet(B,join(A,A)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),join(meet(A,A),meet(B,join(A,A))))),meet(meet(meet(B,join(A,A)),join(meet(A,A),meet(B,join(A,A)))),meet(B,join(A,A)))),meet(meet(B,join(A,A)),join(meet(A,A),meet(B,join(A,A))))) ),[0,1,0,1],$fot(A)]]) ).
cnf(refute_0_17,plain,
( join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),join(meet(A,A),meet(B,join(A,A))))),meet(meet(meet(B,join(A,A)),join(meet(A,A),meet(B,join(A,A)))),meet(B,join(A,A)))) != meet(meet(B,join(A,A)),join(meet(A,A),meet(B,join(A,A))))
| join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),join(meet(A,A),meet(B,join(A,A))))),meet(meet(meet(B,join(A,A)),A),meet(B,join(A,A)))) = meet(meet(B,join(A,A)),join(meet(A,A),meet(B,join(A,A)))) ),
inference(resolve,[$cnf( $equal(join(meet(A,A),meet(B,join(A,A))),A) )],[wal_absorbtion_2,refute_0_16]) ).
cnf(refute_0_18,plain,
join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),join(meet(A,A),meet(B,join(A,A))))),meet(meet(meet(B,join(A,A)),A),meet(B,join(A,A)))) = meet(meet(B,join(A,A)),join(meet(A,A),meet(B,join(A,A)))),
inference(resolve,[$cnf( $equal(join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),join(meet(A,A),meet(B,join(A,A))))),meet(meet(meet(B,join(A,A)),join(meet(A,A),meet(B,join(A,A)))),meet(B,join(A,A)))),meet(meet(B,join(A,A)),join(meet(A,A),meet(B,join(A,A))))) )],[refute_0_15,refute_0_17]) ).
cnf(refute_0_19,plain,
meet(meet(B,join(A,A)),join(meet(A,A),meet(B,join(A,A)))) = meet(meet(B,join(A,A)),join(meet(A,A),meet(B,join(A,A)))),
introduced(tautology,[refl,[$fot(meet(meet(B,join(A,A)),join(meet(A,A),meet(B,join(A,A)))))]]) ).
cnf(refute_0_20,plain,
( join(meet(A,A),meet(B,join(A,A))) != A
| meet(meet(B,join(A,A)),join(meet(A,A),meet(B,join(A,A)))) != meet(meet(B,join(A,A)),join(meet(A,A),meet(B,join(A,A))))
| meet(meet(B,join(A,A)),join(meet(A,A),meet(B,join(A,A)))) = meet(meet(B,join(A,A)),A) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(B,join(A,A)),join(meet(A,A),meet(B,join(A,A)))),meet(meet(B,join(A,A)),join(meet(A,A),meet(B,join(A,A))))) ),[1,1],$fot(A)]]) ).
cnf(refute_0_21,plain,
( join(meet(A,A),meet(B,join(A,A))) != A
| meet(meet(B,join(A,A)),join(meet(A,A),meet(B,join(A,A)))) = meet(meet(B,join(A,A)),A) ),
inference(resolve,[$cnf( $equal(meet(meet(B,join(A,A)),join(meet(A,A),meet(B,join(A,A)))),meet(meet(B,join(A,A)),join(meet(A,A),meet(B,join(A,A))))) )],[refute_0_19,refute_0_20]) ).
cnf(refute_0_22,plain,
meet(meet(B,join(A,A)),join(meet(A,A),meet(B,join(A,A)))) = meet(meet(B,join(A,A)),A),
inference(resolve,[$cnf( $equal(join(meet(A,A),meet(B,join(A,A))),A) )],[wal_absorbtion_2,refute_0_21]) ).
cnf(refute_0_23,plain,
meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),join(meet(A,A),meet(B,join(A,A))))) = meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),join(meet(A,A),meet(B,join(A,A))))),
introduced(tautology,[refl,[$fot(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),join(meet(A,A),meet(B,join(A,A))))))]]) ).
cnf(refute_0_24,plain,
( meet(meet(B,join(A,A)),join(meet(A,A),meet(B,join(A,A)))) != meet(meet(B,join(A,A)),A)
| meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),join(meet(A,A),meet(B,join(A,A))))) != meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),join(meet(A,A),meet(B,join(A,A)))))
| meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),join(meet(A,A),meet(B,join(A,A))))) = meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),A)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),join(meet(A,A),meet(B,join(A,A))))),meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),join(meet(A,A),meet(B,join(A,A)))))) ),[1,1],$fot(meet(meet(B,join(A,A)),A))]]) ).
cnf(refute_0_25,plain,
( meet(meet(B,join(A,A)),join(meet(A,A),meet(B,join(A,A)))) != meet(meet(B,join(A,A)),A)
| meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),join(meet(A,A),meet(B,join(A,A))))) = meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),A)) ),
inference(resolve,[$cnf( $equal(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),join(meet(A,A),meet(B,join(A,A))))),meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),join(meet(A,A),meet(B,join(A,A)))))) )],[refute_0_23,refute_0_24]) ).
cnf(refute_0_26,plain,
meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),join(meet(A,A),meet(B,join(A,A))))) = meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),A)),
inference(resolve,[$cnf( $equal(meet(meet(B,join(A,A)),join(meet(A,A),meet(B,join(A,A)))),meet(meet(B,join(A,A)),A)) )],[refute_0_22,refute_0_25]) ).
cnf(refute_0_27,plain,
join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),join(meet(A,A),meet(B,join(A,A))))),meet(meet(meet(B,join(A,A)),A),meet(B,join(A,A)))) = join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),join(meet(A,A),meet(B,join(A,A))))),meet(meet(meet(B,join(A,A)),A),meet(B,join(A,A)))),
introduced(tautology,[refl,[$fot(join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),join(meet(A,A),meet(B,join(A,A))))),meet(meet(meet(B,join(A,A)),A),meet(B,join(A,A)))))]]) ).
cnf(refute_0_28,plain,
( join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),join(meet(A,A),meet(B,join(A,A))))),meet(meet(meet(B,join(A,A)),A),meet(B,join(A,A)))) != join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),join(meet(A,A),meet(B,join(A,A))))),meet(meet(meet(B,join(A,A)),A),meet(B,join(A,A))))
| meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),join(meet(A,A),meet(B,join(A,A))))) != meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),A))
| join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),join(meet(A,A),meet(B,join(A,A))))),meet(meet(meet(B,join(A,A)),A),meet(B,join(A,A)))) = join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),A)),meet(meet(meet(B,join(A,A)),A),meet(B,join(A,A)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),join(meet(A,A),meet(B,join(A,A))))),meet(meet(meet(B,join(A,A)),A),meet(B,join(A,A)))),join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),join(meet(A,A),meet(B,join(A,A))))),meet(meet(meet(B,join(A,A)),A),meet(B,join(A,A))))) ),[1,0],$fot(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),A)))]]) ).
cnf(refute_0_29,plain,
( meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),join(meet(A,A),meet(B,join(A,A))))) != meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),A))
| join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),join(meet(A,A),meet(B,join(A,A))))),meet(meet(meet(B,join(A,A)),A),meet(B,join(A,A)))) = join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),A)),meet(meet(meet(B,join(A,A)),A),meet(B,join(A,A)))) ),
inference(resolve,[$cnf( $equal(join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),join(meet(A,A),meet(B,join(A,A))))),meet(meet(meet(B,join(A,A)),A),meet(B,join(A,A)))),join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),join(meet(A,A),meet(B,join(A,A))))),meet(meet(meet(B,join(A,A)),A),meet(B,join(A,A))))) )],[refute_0_27,refute_0_28]) ).
cnf(refute_0_30,plain,
join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),join(meet(A,A),meet(B,join(A,A))))),meet(meet(meet(B,join(A,A)),A),meet(B,join(A,A)))) = join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),A)),meet(meet(meet(B,join(A,A)),A),meet(B,join(A,A)))),
inference(resolve,[$cnf( $equal(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),join(meet(A,A),meet(B,join(A,A))))),meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),A))) )],[refute_0_26,refute_0_29]) ).
cnf(refute_0_31,plain,
( join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),join(meet(A,A),meet(B,join(A,A))))),meet(meet(meet(B,join(A,A)),A),meet(B,join(A,A)))) != join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),A)),meet(meet(meet(B,join(A,A)),A),meet(B,join(A,A))))
| join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),join(meet(A,A),meet(B,join(A,A))))),meet(meet(meet(B,join(A,A)),A),meet(B,join(A,A)))) != meet(meet(B,join(A,A)),join(meet(A,A),meet(B,join(A,A))))
| join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),A)),meet(meet(meet(B,join(A,A)),A),meet(B,join(A,A)))) = meet(meet(B,join(A,A)),join(meet(A,A),meet(B,join(A,A)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),join(meet(A,A),meet(B,join(A,A))))),meet(meet(meet(B,join(A,A)),A),meet(B,join(A,A)))),meet(meet(B,join(A,A)),join(meet(A,A),meet(B,join(A,A))))) ),[0],$fot(join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),A)),meet(meet(meet(B,join(A,A)),A),meet(B,join(A,A)))))]]) ).
cnf(refute_0_32,plain,
( join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),join(meet(A,A),meet(B,join(A,A))))),meet(meet(meet(B,join(A,A)),A),meet(B,join(A,A)))) != meet(meet(B,join(A,A)),join(meet(A,A),meet(B,join(A,A))))
| join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),A)),meet(meet(meet(B,join(A,A)),A),meet(B,join(A,A)))) = meet(meet(B,join(A,A)),join(meet(A,A),meet(B,join(A,A)))) ),
inference(resolve,[$cnf( $equal(join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),join(meet(A,A),meet(B,join(A,A))))),meet(meet(meet(B,join(A,A)),A),meet(B,join(A,A)))),join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),A)),meet(meet(meet(B,join(A,A)),A),meet(B,join(A,A))))) )],[refute_0_30,refute_0_31]) ).
cnf(refute_0_33,plain,
( join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),A)),meet(meet(meet(B,join(A,A)),A),meet(B,join(A,A)))) != meet(meet(B,join(A,A)),join(meet(A,A),meet(B,join(A,A))))
| meet(meet(B,join(A,A)),join(meet(A,A),meet(B,join(A,A)))) != meet(meet(B,join(A,A)),A)
| join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),A)),meet(meet(meet(B,join(A,A)),A),meet(B,join(A,A)))) = meet(meet(B,join(A,A)),A) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),A)),meet(meet(meet(B,join(A,A)),A),meet(B,join(A,A)))),meet(meet(B,join(A,A)),A)) ),[0],$fot(meet(meet(B,join(A,A)),join(meet(A,A),meet(B,join(A,A)))))]]) ).
cnf(refute_0_34,plain,
( join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),A)),meet(meet(meet(B,join(A,A)),A),meet(B,join(A,A)))) != meet(meet(B,join(A,A)),join(meet(A,A),meet(B,join(A,A))))
| join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),A)),meet(meet(meet(B,join(A,A)),A),meet(B,join(A,A)))) = meet(meet(B,join(A,A)),A) ),
inference(resolve,[$cnf( $equal(meet(meet(B,join(A,A)),join(meet(A,A),meet(B,join(A,A)))),meet(meet(B,join(A,A)),A)) )],[refute_0_22,refute_0_33]) ).
cnf(refute_0_35,plain,
( join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),join(meet(A,A),meet(B,join(A,A))))),meet(meet(meet(B,join(A,A)),A),meet(B,join(A,A)))) != meet(meet(B,join(A,A)),join(meet(A,A),meet(B,join(A,A))))
| join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),A)),meet(meet(meet(B,join(A,A)),A),meet(B,join(A,A)))) = meet(meet(B,join(A,A)),A) ),
inference(resolve,[$cnf( $equal(join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),A)),meet(meet(meet(B,join(A,A)),A),meet(B,join(A,A)))),meet(meet(B,join(A,A)),join(meet(A,A),meet(B,join(A,A))))) )],[refute_0_32,refute_0_34]) ).
cnf(refute_0_36,plain,
join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),A)),meet(meet(meet(B,join(A,A)),A),meet(B,join(A,A)))) = meet(meet(B,join(A,A)),A),
inference(resolve,[$cnf( $equal(join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),join(meet(A,A),meet(B,join(A,A))))),meet(meet(meet(B,join(A,A)),A),meet(B,join(A,A)))),meet(meet(B,join(A,A)),join(meet(A,A),meet(B,join(A,A))))) )],[refute_0_18,refute_0_35]) ).
cnf(refute_0_37,plain,
meet(meet(join(A,meet(A,join(meet(join(A,X_33),A),A))),join(C,A)),A) = A,
inference(subst,[],[wal_absorbtion_4:[bind(B,$fot(meet(A,join(meet(join(A,X_33),A),A))))]]) ).
cnf(refute_0_38,plain,
join(meet(meet(join(B,X_16),B),B),meet(B,join(meet(join(B,X_16),B),B))) = B,
inference(subst,[],[wal_absorbtion_3:[bind(A,$fot(meet(join(B,X_16),B)))]]) ).
cnf(refute_0_39,plain,
meet(meet(join(A,B),join(join(meet(A,X_13),meet(X_14,A)),A)),A) = A,
inference(subst,[],[wal_absorbtion_4:[bind(C,$fot(join(meet(A,X_13),meet(X_14,A))))]]) ).
cnf(refute_0_40,plain,
join(join(meet(A,X_13),meet(X_14,A)),A) = A,
inference(subst,[],[wal_absorbtion_5:[bind(B,$fot(X_13)),bind(C,$fot(X_14))]]) ).
cnf(refute_0_41,plain,
( join(join(meet(A,X_13),meet(X_14,A)),A) != A
| meet(meet(join(A,B),join(join(meet(A,X_13),meet(X_14,A)),A)),A) != A
| meet(meet(join(A,B),A),A) = A ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(join(A,B),join(join(meet(A,X_13),meet(X_14,A)),A)),A),A) ),[0,0,1],$fot(A)]]) ).
cnf(refute_0_42,plain,
( meet(meet(join(A,B),join(join(meet(A,X_13),meet(X_14,A)),A)),A) != A
| meet(meet(join(A,B),A),A) = A ),
inference(resolve,[$cnf( $equal(join(join(meet(A,X_13),meet(X_14,A)),A),A) )],[refute_0_40,refute_0_41]) ).
cnf(refute_0_43,plain,
meet(meet(join(A,B),A),A) = A,
inference(resolve,[$cnf( $equal(meet(meet(join(A,B),join(join(meet(A,X_13),meet(X_14,A)),A)),A),A) )],[refute_0_39,refute_0_42]) ).
cnf(refute_0_44,plain,
meet(meet(join(B,X_16),B),B) = B,
inference(subst,[],[refute_0_43:[bind(A,$fot(B)),bind(B,$fot(X_16))]]) ).
cnf(refute_0_45,plain,
( join(meet(meet(join(B,X_16),B),B),meet(B,join(meet(join(B,X_16),B),B))) != B
| meet(meet(join(B,X_16),B),B) != B
| join(B,meet(B,join(meet(join(B,X_16),B),B))) = B ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(join(B,X_16),B),B),meet(B,join(meet(join(B,X_16),B),B))),B) ),[0,0],$fot(B)]]) ).
cnf(refute_0_46,plain,
( join(meet(meet(join(B,X_16),B),B),meet(B,join(meet(join(B,X_16),B),B))) != B
| join(B,meet(B,join(meet(join(B,X_16),B),B))) = B ),
inference(resolve,[$cnf( $equal(meet(meet(join(B,X_16),B),B),B) )],[refute_0_44,refute_0_45]) ).
cnf(refute_0_47,plain,
join(B,meet(B,join(meet(join(B,X_16),B),B))) = B,
inference(resolve,[$cnf( $equal(join(meet(meet(join(B,X_16),B),B),meet(B,join(meet(join(B,X_16),B),B))),B) )],[refute_0_38,refute_0_46]) ).
cnf(refute_0_48,plain,
join(A,meet(A,join(meet(join(A,X_33),A),A))) = A,
inference(subst,[],[refute_0_47:[bind(B,$fot(A)),bind(X_16,$fot(X_33))]]) ).
cnf(refute_0_49,plain,
( join(A,meet(A,join(meet(join(A,X_33),A),A))) != A
| meet(meet(join(A,meet(A,join(meet(join(A,X_33),A),A))),join(C,A)),A) != A
| meet(meet(A,join(C,A)),A) = A ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(join(A,meet(A,join(meet(join(A,X_33),A),A))),join(C,A)),A),A) ),[0,0,0],$fot(A)]]) ).
cnf(refute_0_50,plain,
( meet(meet(join(A,meet(A,join(meet(join(A,X_33),A),A))),join(C,A)),A) != A
| meet(meet(A,join(C,A)),A) = A ),
inference(resolve,[$cnf( $equal(join(A,meet(A,join(meet(join(A,X_33),A),A))),A) )],[refute_0_48,refute_0_49]) ).
cnf(refute_0_51,plain,
meet(meet(A,join(C,A)),A) = A,
inference(resolve,[$cnf( $equal(meet(meet(join(A,meet(A,join(meet(join(A,X_33),A),A))),join(C,A)),A),A) )],[refute_0_37,refute_0_50]) ).
cnf(refute_0_52,plain,
meet(meet(meet(B,join(A,A)),join(meet(A,A),meet(B,join(A,A)))),meet(B,join(A,A))) = meet(B,join(A,A)),
inference(subst,[],[refute_0_51:[bind(A,$fot(meet(B,join(A,A)))),bind(C,$fot(meet(A,A)))]]) ).
cnf(refute_0_53,plain,
( join(meet(A,A),meet(B,join(A,A))) != A
| meet(meet(meet(B,join(A,A)),join(meet(A,A),meet(B,join(A,A)))),meet(B,join(A,A))) != meet(B,join(A,A))
| meet(meet(meet(B,join(A,A)),A),meet(B,join(A,A))) = meet(B,join(A,A)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(meet(B,join(A,A)),join(meet(A,A),meet(B,join(A,A)))),meet(B,join(A,A))),meet(B,join(A,A))) ),[0,0,1],$fot(A)]]) ).
cnf(refute_0_54,plain,
( meet(meet(meet(B,join(A,A)),join(meet(A,A),meet(B,join(A,A)))),meet(B,join(A,A))) != meet(B,join(A,A))
| meet(meet(meet(B,join(A,A)),A),meet(B,join(A,A))) = meet(B,join(A,A)) ),
inference(resolve,[$cnf( $equal(join(meet(A,A),meet(B,join(A,A))),A) )],[wal_absorbtion_2,refute_0_53]) ).
cnf(refute_0_55,plain,
meet(meet(meet(B,join(A,A)),A),meet(B,join(A,A))) = meet(B,join(A,A)),
inference(resolve,[$cnf( $equal(meet(meet(meet(B,join(A,A)),join(meet(A,A),meet(B,join(A,A)))),meet(B,join(A,A))),meet(B,join(A,A))) )],[refute_0_52,refute_0_54]) ).
cnf(refute_0_56,plain,
join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),A)),meet(meet(meet(B,join(A,A)),A),meet(B,join(A,A)))) = join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),A)),meet(meet(meet(B,join(A,A)),A),meet(B,join(A,A)))),
introduced(tautology,[refl,[$fot(join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),A)),meet(meet(meet(B,join(A,A)),A),meet(B,join(A,A)))))]]) ).
cnf(refute_0_57,plain,
( join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),A)),meet(meet(meet(B,join(A,A)),A),meet(B,join(A,A)))) != join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),A)),meet(meet(meet(B,join(A,A)),A),meet(B,join(A,A))))
| meet(meet(meet(B,join(A,A)),A),meet(B,join(A,A))) != meet(B,join(A,A))
| join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),A)),meet(meet(meet(B,join(A,A)),A),meet(B,join(A,A)))) = join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),A)),meet(B,join(A,A))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),A)),meet(meet(meet(B,join(A,A)),A),meet(B,join(A,A)))),join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),A)),meet(meet(meet(B,join(A,A)),A),meet(B,join(A,A))))) ),[1,1],$fot(meet(B,join(A,A)))]]) ).
cnf(refute_0_58,plain,
( meet(meet(meet(B,join(A,A)),A),meet(B,join(A,A))) != meet(B,join(A,A))
| join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),A)),meet(meet(meet(B,join(A,A)),A),meet(B,join(A,A)))) = join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),A)),meet(B,join(A,A))) ),
inference(resolve,[$cnf( $equal(join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),A)),meet(meet(meet(B,join(A,A)),A),meet(B,join(A,A)))),join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),A)),meet(meet(meet(B,join(A,A)),A),meet(B,join(A,A))))) )],[refute_0_56,refute_0_57]) ).
cnf(refute_0_59,plain,
join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),A)),meet(meet(meet(B,join(A,A)),A),meet(B,join(A,A)))) = join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),A)),meet(B,join(A,A))),
inference(resolve,[$cnf( $equal(meet(meet(meet(B,join(A,A)),A),meet(B,join(A,A))),meet(B,join(A,A))) )],[refute_0_55,refute_0_58]) ).
cnf(refute_0_60,plain,
( join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),A)),meet(meet(meet(B,join(A,A)),A),meet(B,join(A,A)))) != join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),A)),meet(B,join(A,A)))
| join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),A)),meet(meet(meet(B,join(A,A)),A),meet(B,join(A,A)))) != meet(meet(B,join(A,A)),A)
| join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),A)),meet(B,join(A,A))) = meet(meet(B,join(A,A)),A) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),A)),meet(meet(meet(B,join(A,A)),A),meet(B,join(A,A)))),meet(meet(B,join(A,A)),A)) ),[0],$fot(join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),A)),meet(B,join(A,A))))]]) ).
cnf(refute_0_61,plain,
( join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),A)),meet(meet(meet(B,join(A,A)),A),meet(B,join(A,A)))) != meet(meet(B,join(A,A)),A)
| join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),A)),meet(B,join(A,A))) = meet(meet(B,join(A,A)),A) ),
inference(resolve,[$cnf( $equal(join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),A)),meet(meet(meet(B,join(A,A)),A),meet(B,join(A,A)))),join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),A)),meet(B,join(A,A)))) )],[refute_0_59,refute_0_60]) ).
cnf(refute_0_62,plain,
join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),A)),meet(B,join(A,A))) = meet(meet(B,join(A,A)),A),
inference(resolve,[$cnf( $equal(join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),A)),meet(meet(meet(B,join(A,A)),A),meet(B,join(A,A)))),meet(meet(B,join(A,A)),A)) )],[refute_0_36,refute_0_61]) ).
cnf(refute_0_63,plain,
join(meet(meet(X_2,X_3),meet(X_3,join(X_2,X_3))),meet(meet(X_2,X_3),join(meet(X_2,X_3),meet(X_3,join(X_2,X_3))))) = meet(X_2,X_3),
inference(subst,[],[wal_absorbtion_1:[bind(A,$fot(meet(X_2,X_3))),bind(B,$fot(meet(X_3,join(X_2,X_3))))]]) ).
cnf(refute_0_64,plain,
( join(meet(X_2,X_3),meet(X_3,join(X_2,X_3))) != X_3
| join(meet(meet(X_2,X_3),meet(X_3,join(X_2,X_3))),meet(meet(X_2,X_3),join(meet(X_2,X_3),meet(X_3,join(X_2,X_3))))) != meet(X_2,X_3)
| join(meet(meet(X_2,X_3),meet(X_3,join(X_2,X_3))),meet(meet(X_2,X_3),X_3)) = meet(X_2,X_3) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(X_2,X_3),meet(X_3,join(X_2,X_3))),meet(meet(X_2,X_3),join(meet(X_2,X_3),meet(X_3,join(X_2,X_3))))),meet(X_2,X_3)) ),[0,1,1],$fot(X_3)]]) ).
cnf(refute_0_65,plain,
( join(meet(meet(X_2,X_3),meet(X_3,join(X_2,X_3))),meet(meet(X_2,X_3),join(meet(X_2,X_3),meet(X_3,join(X_2,X_3))))) != meet(X_2,X_3)
| join(meet(meet(X_2,X_3),meet(X_3,join(X_2,X_3))),meet(meet(X_2,X_3),X_3)) = meet(X_2,X_3) ),
inference(resolve,[$cnf( $equal(join(meet(X_2,X_3),meet(X_3,join(X_2,X_3))),X_3) )],[refute_0_11,refute_0_64]) ).
cnf(refute_0_66,plain,
join(meet(meet(X_2,X_3),meet(X_3,join(X_2,X_3))),meet(meet(X_2,X_3),X_3)) = meet(X_2,X_3),
inference(resolve,[$cnf( $equal(join(meet(meet(X_2,X_3),meet(X_3,join(X_2,X_3))),meet(meet(X_2,X_3),join(meet(X_2,X_3),meet(X_3,join(X_2,X_3))))),meet(X_2,X_3)) )],[refute_0_63,refute_0_65]) ).
cnf(refute_0_67,plain,
join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),join(meet(A,A),meet(B,join(A,A))))),meet(meet(meet(A,A),meet(B,join(A,A))),meet(B,join(A,A)))) = meet(meet(A,A),meet(B,join(A,A))),
inference(subst,[],[refute_0_66:[bind(X_2,$fot(meet(A,A))),bind(X_3,$fot(meet(B,join(A,A))))]]) ).
cnf(refute_0_68,plain,
( join(meet(A,A),meet(B,join(A,A))) != A
| join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),join(meet(A,A),meet(B,join(A,A))))),meet(meet(meet(A,A),meet(B,join(A,A))),meet(B,join(A,A)))) != meet(meet(A,A),meet(B,join(A,A)))
| join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),A)),meet(meet(meet(A,A),meet(B,join(A,A))),meet(B,join(A,A)))) = meet(meet(A,A),meet(B,join(A,A))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),join(meet(A,A),meet(B,join(A,A))))),meet(meet(meet(A,A),meet(B,join(A,A))),meet(B,join(A,A)))),meet(meet(A,A),meet(B,join(A,A)))) ),[0,0,1,1],$fot(A)]]) ).
cnf(refute_0_69,plain,
( join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),join(meet(A,A),meet(B,join(A,A))))),meet(meet(meet(A,A),meet(B,join(A,A))),meet(B,join(A,A)))) != meet(meet(A,A),meet(B,join(A,A)))
| join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),A)),meet(meet(meet(A,A),meet(B,join(A,A))),meet(B,join(A,A)))) = meet(meet(A,A),meet(B,join(A,A))) ),
inference(resolve,[$cnf( $equal(join(meet(A,A),meet(B,join(A,A))),A) )],[wal_absorbtion_2,refute_0_68]) ).
cnf(refute_0_70,plain,
join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),A)),meet(meet(meet(A,A),meet(B,join(A,A))),meet(B,join(A,A)))) = meet(meet(A,A),meet(B,join(A,A))),
inference(resolve,[$cnf( $equal(join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),join(meet(A,A),meet(B,join(A,A))))),meet(meet(meet(A,A),meet(B,join(A,A))),meet(B,join(A,A)))),meet(meet(A,A),meet(B,join(A,A)))) )],[refute_0_67,refute_0_69]) ).
cnf(refute_0_71,plain,
meet(meet(join(meet(A,B),meet(B,join(A,B))),meet(A,B)),meet(A,B)) = meet(A,B),
inference(subst,[],[refute_0_43:[bind(A,$fot(meet(A,B))),bind(B,$fot(meet(B,join(A,B))))]]) ).
cnf(refute_0_72,plain,
( join(meet(A,B),meet(B,join(A,B))) != B
| meet(meet(join(meet(A,B),meet(B,join(A,B))),meet(A,B)),meet(A,B)) != meet(A,B)
| meet(meet(B,meet(A,B)),meet(A,B)) = meet(A,B) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(join(meet(A,B),meet(B,join(A,B))),meet(A,B)),meet(A,B)),meet(A,B)) ),[0,0,0],$fot(B)]]) ).
cnf(refute_0_73,plain,
( meet(meet(join(meet(A,B),meet(B,join(A,B))),meet(A,B)),meet(A,B)) != meet(A,B)
| meet(meet(B,meet(A,B)),meet(A,B)) = meet(A,B) ),
inference(resolve,[$cnf( $equal(join(meet(A,B),meet(B,join(A,B))),B) )],[wal_absorbtion_3,refute_0_72]) ).
cnf(refute_0_74,plain,
meet(meet(B,meet(A,B)),meet(A,B)) = meet(A,B),
inference(resolve,[$cnf( $equal(meet(meet(join(meet(A,B),meet(B,join(A,B))),meet(A,B)),meet(A,B)),meet(A,B)) )],[refute_0_71,refute_0_73]) ).
cnf(refute_0_75,plain,
meet(meet(A,meet(B,A)),meet(B,A)) = meet(B,A),
inference(subst,[],[refute_0_74:[bind(A,$fot(B)),bind(B,$fot(A))]]) ).
cnf(refute_0_76,plain,
join(meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),meet(meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)),join(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))))),meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)))) = meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),
inference(subst,[],[refute_0_66:[bind(X_3,$fot(meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))))]]) ).
cnf(refute_0_77,plain,
join(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))) = X_2,
inference(subst,[],[refute_0_47:[bind(B,$fot(X_2)),bind(X_16,$fot(X_33))]]) ).
cnf(refute_0_78,plain,
( join(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))) != X_2
| join(meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),meet(meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)),join(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))))),meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)))) != meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)))
| join(meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),meet(meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)),X_2)),meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)))) = meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),meet(meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)),join(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))))),meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)))),meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)))) ),[0,0,1,1],$fot(X_2)]]) ).
cnf(refute_0_79,plain,
( join(meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),meet(meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)),join(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))))),meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)))) != meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)))
| join(meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),meet(meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)),X_2)),meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)))) = meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))) ),
inference(resolve,[$cnf( $equal(join(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),X_2) )],[refute_0_77,refute_0_78]) ).
cnf(refute_0_80,plain,
join(meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),meet(meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)),X_2)),meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)))) = meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),
inference(resolve,[$cnf( $equal(join(meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),meet(meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)),join(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))))),meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)))),meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)))) )],[refute_0_76,refute_0_79]) ).
cnf(refute_0_81,plain,
meet(meet(join(meet(A,B),meet(A,join(A,B))),meet(A,B)),meet(A,B)) = meet(A,B),
inference(subst,[],[refute_0_43:[bind(A,$fot(meet(A,B))),bind(B,$fot(meet(A,join(A,B))))]]) ).
cnf(refute_0_82,plain,
( join(meet(A,B),meet(A,join(A,B))) != A
| meet(meet(join(meet(A,B),meet(A,join(A,B))),meet(A,B)),meet(A,B)) != meet(A,B)
| meet(meet(A,meet(A,B)),meet(A,B)) = meet(A,B) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(join(meet(A,B),meet(A,join(A,B))),meet(A,B)),meet(A,B)),meet(A,B)) ),[0,0,0],$fot(A)]]) ).
cnf(refute_0_83,plain,
( meet(meet(join(meet(A,B),meet(A,join(A,B))),meet(A,B)),meet(A,B)) != meet(A,B)
| meet(meet(A,meet(A,B)),meet(A,B)) = meet(A,B) ),
inference(resolve,[$cnf( $equal(join(meet(A,B),meet(A,join(A,B))),A) )],[wal_absorbtion_1,refute_0_82]) ).
cnf(refute_0_84,plain,
meet(meet(A,meet(A,B)),meet(A,B)) = meet(A,B),
inference(resolve,[$cnf( $equal(meet(meet(join(meet(A,B),meet(A,join(A,B))),meet(A,B)),meet(A,B)),meet(A,B)) )],[refute_0_81,refute_0_83]) ).
cnf(refute_0_85,plain,
meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))) = meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)),
inference(subst,[],[refute_0_84:[bind(A,$fot(X_2)),bind(B,$fot(join(meet(join(X_2,X_33),X_2),X_2)))]]) ).
cnf(refute_0_86,plain,
join(meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),meet(meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)),X_2)),meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)))) = join(meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),meet(meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)),X_2)),meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)))),
introduced(tautology,[refl,[$fot(join(meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),meet(meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)),X_2)),meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)))))]]) ).
cnf(refute_0_87,plain,
( join(meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),meet(meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)),X_2)),meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)))) != join(meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),meet(meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)),X_2)),meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))))
| meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))) != meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))
| join(meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),meet(meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)),X_2)),meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)))) = join(meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),meet(meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)),X_2)),meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),meet(meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)),X_2)),meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)))),join(meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),meet(meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)),X_2)),meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))))) ),[1,1],$fot(meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)))]]) ).
cnf(refute_0_88,plain,
( meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))) != meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))
| join(meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),meet(meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)),X_2)),meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)))) = join(meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),meet(meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)),X_2)),meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))) ),
inference(resolve,[$cnf( $equal(join(meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),meet(meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)),X_2)),meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)))),join(meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),meet(meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)),X_2)),meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))))) )],[refute_0_86,refute_0_87]) ).
cnf(refute_0_89,plain,
join(meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),meet(meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)),X_2)),meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)))) = join(meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),meet(meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)),X_2)),meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),
inference(resolve,[$cnf( $equal(meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))) )],[refute_0_85,refute_0_88]) ).
cnf(refute_0_90,plain,
( join(meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),meet(meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)),X_2)),meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)))) != join(meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),meet(meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)),X_2)),meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)))
| join(meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),meet(meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)),X_2)),meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)))) != meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)))
| join(meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),meet(meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)),X_2)),meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))) = meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),meet(meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)),X_2)),meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)))),meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)))) ),[0],$fot(join(meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),meet(meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)),X_2)),meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))))]]) ).
cnf(refute_0_91,plain,
( join(meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),meet(meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)),X_2)),meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)))) != meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)))
| join(meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),meet(meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)),X_2)),meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))) = meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))) ),
inference(resolve,[$cnf( $equal(join(meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),meet(meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)),X_2)),meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)))),join(meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),meet(meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)),X_2)),meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)))) )],[refute_0_89,refute_0_90]) ).
cnf(refute_0_92,plain,
join(meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),meet(meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)),X_2)),meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))) = meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),
inference(resolve,[$cnf( $equal(join(meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),meet(meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)),X_2)),meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)))),meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)))) )],[refute_0_80,refute_0_91]) ).
cnf(refute_0_93,plain,
meet(meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)),X_2) = X_2,
inference(subst,[],[refute_0_51:[bind(A,$fot(X_2)),bind(C,$fot(meet(join(X_2,X_33),X_2)))]]) ).
cnf(refute_0_94,plain,
meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),meet(meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)),X_2)) = meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),meet(meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)),X_2)),
introduced(tautology,[refl,[$fot(meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),meet(meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)),X_2)))]]) ).
cnf(refute_0_95,plain,
( meet(meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)),X_2) != X_2
| meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),meet(meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)),X_2)) != meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),meet(meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)),X_2))
| meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),meet(meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)),X_2)) = meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),X_2) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),meet(meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)),X_2)),meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),meet(meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)),X_2))) ),[1,1],$fot(X_2)]]) ).
cnf(refute_0_96,plain,
( meet(meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)),X_2) != X_2
| meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),meet(meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)),X_2)) = meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),X_2) ),
inference(resolve,[$cnf( $equal(meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),meet(meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)),X_2)),meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),meet(meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)),X_2))) )],[refute_0_94,refute_0_95]) ).
cnf(refute_0_97,plain,
meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),meet(meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)),X_2)) = meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),X_2),
inference(resolve,[$cnf( $equal(meet(meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)),X_2),X_2) )],[refute_0_93,refute_0_96]) ).
cnf(refute_0_98,plain,
join(meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),meet(meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)),X_2)),meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))) = join(meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),meet(meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)),X_2)),meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),
introduced(tautology,[refl,[$fot(join(meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),meet(meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)),X_2)),meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))))]]) ).
cnf(refute_0_99,plain,
( join(meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),meet(meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)),X_2)),meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))) != join(meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),meet(meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)),X_2)),meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)))
| meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),meet(meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)),X_2)) != meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),X_2)
| join(meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),meet(meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)),X_2)),meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))) = join(meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),X_2),meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),meet(meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)),X_2)),meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),join(meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),meet(meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)),X_2)),meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)))) ),[1,0],$fot(meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),X_2))]]) ).
cnf(refute_0_100,plain,
( meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),meet(meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)),X_2)) != meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),X_2)
| join(meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),meet(meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)),X_2)),meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))) = join(meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),X_2),meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))) ),
inference(resolve,[$cnf( $equal(join(meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),meet(meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)),X_2)),meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),join(meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),meet(meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)),X_2)),meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)))) )],[refute_0_98,refute_0_99]) ).
cnf(refute_0_101,plain,
join(meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),meet(meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)),X_2)),meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))) = join(meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),X_2),meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),
inference(resolve,[$cnf( $equal(meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),meet(meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)),X_2)),meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),X_2)) )],[refute_0_97,refute_0_100]) ).
cnf(refute_0_102,plain,
( join(meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),meet(meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)),X_2)),meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))) != join(meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),X_2),meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)))
| join(meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),meet(meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)),X_2)),meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))) != meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)))
| join(meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),X_2),meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))) = meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),meet(meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)),X_2)),meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)))) ),[0],$fot(join(meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),X_2),meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))))]]) ).
cnf(refute_0_103,plain,
( join(meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),meet(meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)),X_2)),meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))) != meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)))
| join(meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),X_2),meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))) = meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))) ),
inference(resolve,[$cnf( $equal(join(meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),meet(meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)),X_2)),meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),join(meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),X_2),meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)))) )],[refute_0_101,refute_0_102]) ).
cnf(refute_0_104,plain,
join(meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),X_2),meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))) = meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),
inference(resolve,[$cnf( $equal(join(meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),meet(meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)),X_2)),meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)))) )],[refute_0_92,refute_0_103]) ).
cnf(refute_0_105,plain,
meet(meet(meet(B,join(A,B)),join(meet(A,B),meet(B,join(A,B)))),meet(B,join(A,B))) = meet(B,join(A,B)),
inference(subst,[],[refute_0_51:[bind(A,$fot(meet(B,join(A,B)))),bind(C,$fot(meet(A,B)))]]) ).
cnf(refute_0_106,plain,
( join(meet(A,B),meet(B,join(A,B))) != B
| meet(meet(meet(B,join(A,B)),join(meet(A,B),meet(B,join(A,B)))),meet(B,join(A,B))) != meet(B,join(A,B))
| meet(meet(meet(B,join(A,B)),B),meet(B,join(A,B))) = meet(B,join(A,B)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(meet(B,join(A,B)),join(meet(A,B),meet(B,join(A,B)))),meet(B,join(A,B))),meet(B,join(A,B))) ),[0,0,1],$fot(B)]]) ).
cnf(refute_0_107,plain,
( meet(meet(meet(B,join(A,B)),join(meet(A,B),meet(B,join(A,B)))),meet(B,join(A,B))) != meet(B,join(A,B))
| meet(meet(meet(B,join(A,B)),B),meet(B,join(A,B))) = meet(B,join(A,B)) ),
inference(resolve,[$cnf( $equal(join(meet(A,B),meet(B,join(A,B))),B) )],[wal_absorbtion_3,refute_0_106]) ).
cnf(refute_0_108,plain,
meet(meet(meet(B,join(A,B)),B),meet(B,join(A,B))) = meet(B,join(A,B)),
inference(resolve,[$cnf( $equal(meet(meet(meet(B,join(A,B)),join(meet(A,B),meet(B,join(A,B)))),meet(B,join(A,B))),meet(B,join(A,B))) )],[refute_0_105,refute_0_107]) ).
cnf(refute_0_109,plain,
meet(meet(B,join(A,B)),B) = B,
inference(subst,[],[refute_0_51:[bind(A,$fot(B)),bind(C,$fot(A))]]) ).
cnf(refute_0_110,plain,
meet(meet(meet(B,join(A,B)),B),meet(B,join(A,B))) = meet(meet(meet(B,join(A,B)),B),meet(B,join(A,B))),
introduced(tautology,[refl,[$fot(meet(meet(meet(B,join(A,B)),B),meet(B,join(A,B))))]]) ).
cnf(refute_0_111,plain,
( meet(meet(B,join(A,B)),B) != B
| meet(meet(meet(B,join(A,B)),B),meet(B,join(A,B))) != meet(meet(meet(B,join(A,B)),B),meet(B,join(A,B)))
| meet(meet(meet(B,join(A,B)),B),meet(B,join(A,B))) = meet(B,meet(B,join(A,B))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(meet(B,join(A,B)),B),meet(B,join(A,B))),meet(meet(meet(B,join(A,B)),B),meet(B,join(A,B)))) ),[1,0],$fot(B)]]) ).
cnf(refute_0_112,plain,
( meet(meet(B,join(A,B)),B) != B
| meet(meet(meet(B,join(A,B)),B),meet(B,join(A,B))) = meet(B,meet(B,join(A,B))) ),
inference(resolve,[$cnf( $equal(meet(meet(meet(B,join(A,B)),B),meet(B,join(A,B))),meet(meet(meet(B,join(A,B)),B),meet(B,join(A,B)))) )],[refute_0_110,refute_0_111]) ).
cnf(refute_0_113,plain,
meet(meet(meet(B,join(A,B)),B),meet(B,join(A,B))) = meet(B,meet(B,join(A,B))),
inference(resolve,[$cnf( $equal(meet(meet(B,join(A,B)),B),B) )],[refute_0_109,refute_0_112]) ).
cnf(refute_0_114,plain,
( meet(meet(meet(B,join(A,B)),B),meet(B,join(A,B))) != meet(B,join(A,B))
| meet(meet(meet(B,join(A,B)),B),meet(B,join(A,B))) != meet(B,meet(B,join(A,B)))
| meet(B,meet(B,join(A,B))) = meet(B,join(A,B)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(meet(B,join(A,B)),B),meet(B,join(A,B))),meet(B,join(A,B))) ),[0],$fot(meet(B,meet(B,join(A,B))))]]) ).
cnf(refute_0_115,plain,
( meet(meet(meet(B,join(A,B)),B),meet(B,join(A,B))) != meet(B,join(A,B))
| meet(B,meet(B,join(A,B))) = meet(B,join(A,B)) ),
inference(resolve,[$cnf( $equal(meet(meet(meet(B,join(A,B)),B),meet(B,join(A,B))),meet(B,meet(B,join(A,B)))) )],[refute_0_113,refute_0_114]) ).
cnf(refute_0_116,plain,
meet(B,meet(B,join(A,B))) = meet(B,join(A,B)),
inference(resolve,[$cnf( $equal(meet(meet(meet(B,join(A,B)),B),meet(B,join(A,B))),meet(B,join(A,B))) )],[refute_0_108,refute_0_115]) ).
cnf(refute_0_117,plain,
meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))) = meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)),
inference(subst,[],[refute_0_116:[bind(A,$fot(meet(join(X_2,X_33),X_2))),bind(B,$fot(X_2))]]) ).
cnf(refute_0_118,plain,
meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),X_2) = meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),X_2),
introduced(tautology,[refl,[$fot(meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),X_2))]]) ).
cnf(refute_0_119,plain,
( meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))) != meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))
| meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),X_2) != meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),X_2)
| meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),X_2) = meet(meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)),X_2) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),X_2),meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),X_2)) ),[1,0],$fot(meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)))]]) ).
cnf(refute_0_120,plain,
( meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))) != meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))
| meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),X_2) = meet(meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)),X_2) ),
inference(resolve,[$cnf( $equal(meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),X_2),meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),X_2)) )],[refute_0_118,refute_0_119]) ).
cnf(refute_0_121,plain,
meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),X_2) = meet(meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)),X_2),
inference(resolve,[$cnf( $equal(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))) )],[refute_0_117,refute_0_120]) ).
cnf(refute_0_122,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_123,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_124,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_122,refute_0_123]) ).
cnf(refute_0_125,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_126,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_124,refute_0_125]) ).
cnf(refute_0_127,plain,
( meet(meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)),X_2) != X_2
| meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),X_2) != meet(meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)),X_2)
| meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),X_2) = X_2 ),
inference(subst,[],[refute_0_126:[bind(X,$fot(meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),X_2))),bind(Y,$fot(meet(meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)),X_2))),bind(Z,$fot(X_2))]]) ).
cnf(refute_0_128,plain,
( meet(meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)),X_2) != X_2
| meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),X_2) = X_2 ),
inference(resolve,[$cnf( $equal(meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),X_2),meet(meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)),X_2)) )],[refute_0_121,refute_0_127]) ).
cnf(refute_0_129,plain,
meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),X_2) = X_2,
inference(resolve,[$cnf( $equal(meet(meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)),X_2),X_2) )],[refute_0_93,refute_0_128]) ).
cnf(refute_0_130,plain,
join(meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),X_2),meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))) = join(meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),X_2),meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),
introduced(tautology,[refl,[$fot(join(meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),X_2),meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))))]]) ).
cnf(refute_0_131,plain,
( join(meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),X_2),meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))) != join(meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),X_2),meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)))
| meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),X_2) != X_2
| join(meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),X_2),meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))) = join(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),X_2),meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),join(meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),X_2),meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)))) ),[1,0],$fot(X_2)]]) ).
cnf(refute_0_132,plain,
( meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),X_2) != X_2
| join(meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),X_2),meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))) = join(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))) ),
inference(resolve,[$cnf( $equal(join(meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),X_2),meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),join(meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),X_2),meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)))) )],[refute_0_130,refute_0_131]) ).
cnf(refute_0_133,plain,
join(meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),X_2),meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))) = join(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),
inference(resolve,[$cnf( $equal(meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),X_2),X_2) )],[refute_0_129,refute_0_132]) ).
cnf(refute_0_134,plain,
( join(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))) != X_2
| join(meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),X_2),meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))) != join(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)))
| join(meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),X_2),meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))) = X_2 ),
inference(subst,[],[refute_0_126:[bind(X,$fot(join(meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),X_2),meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))))),bind(Y,$fot(join(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))))),bind(Z,$fot(X_2))]]) ).
cnf(refute_0_135,plain,
( join(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))) != X_2
| join(meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),X_2),meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))) = X_2 ),
inference(resolve,[$cnf( $equal(join(meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),X_2),meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),join(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)))) )],[refute_0_133,refute_0_134]) ).
cnf(refute_0_136,plain,
join(meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),X_2),meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))) = X_2,
inference(resolve,[$cnf( $equal(join(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),X_2) )],[refute_0_77,refute_0_135]) ).
cnf(refute_0_137,plain,
( join(meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),X_2),meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))) != X_2
| join(meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),X_2),meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))) != meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)))
| X_2 = meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),X_2),meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)))) ),[0],$fot(X_2)]]) ).
cnf(refute_0_138,plain,
( join(meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),X_2),meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))) != meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)))
| X_2 = meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))) ),
inference(resolve,[$cnf( $equal(join(meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),X_2),meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),X_2) )],[refute_0_136,refute_0_137]) ).
cnf(refute_0_139,plain,
( X_2 != meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)))
| meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))) != meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))
| X_2 = meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))) ),[0],$fot(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))))]]) ).
cnf(refute_0_140,plain,
( X_2 != meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)))
| X_2 = meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)) ),
inference(resolve,[$cnf( $equal(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))) )],[refute_0_117,refute_0_139]) ).
cnf(refute_0_141,plain,
( join(meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),X_2),meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))) != meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)))
| X_2 = meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)) ),
inference(resolve,[$cnf( $equal(X_2,meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)))) )],[refute_0_138,refute_0_140]) ).
cnf(refute_0_142,plain,
X_2 = meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)),
inference(resolve,[$cnf( $equal(join(meet(meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),X_2),meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))),meet(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)))) )],[refute_0_104,refute_0_141]) ).
cnf(refute_0_143,plain,
( X_2 != meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))
| meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)) = X_2 ),
inference(subst,[],[refute_0_124:[bind(X,$fot(X_2)),bind(Y,$fot(meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))))]]) ).
cnf(refute_0_144,plain,
meet(X_2,join(meet(join(X_2,X_33),X_2),X_2)) = X_2,
inference(resolve,[$cnf( $equal(X_2,meet(X_2,join(meet(join(X_2,X_33),X_2),X_2))) )],[refute_0_142,refute_0_143]) ).
cnf(refute_0_145,plain,
meet(B,join(meet(join(B,X_16),B),B)) = B,
inference(subst,[],[refute_0_144:[bind(X_2,$fot(B)),bind(X_33,$fot(X_16))]]) ).
cnf(refute_0_146,plain,
join(B,meet(B,join(meet(join(B,X_16),B),B))) = join(B,meet(B,join(meet(join(B,X_16),B),B))),
introduced(tautology,[refl,[$fot(join(B,meet(B,join(meet(join(B,X_16),B),B))))]]) ).
cnf(refute_0_147,plain,
( join(B,meet(B,join(meet(join(B,X_16),B),B))) != join(B,meet(B,join(meet(join(B,X_16),B),B)))
| meet(B,join(meet(join(B,X_16),B),B)) != B
| join(B,meet(B,join(meet(join(B,X_16),B),B))) = join(B,B) ),
introduced(tautology,[equality,[$cnf( $equal(join(B,meet(B,join(meet(join(B,X_16),B),B))),join(B,meet(B,join(meet(join(B,X_16),B),B)))) ),[1,1],$fot(B)]]) ).
cnf(refute_0_148,plain,
( meet(B,join(meet(join(B,X_16),B),B)) != B
| join(B,meet(B,join(meet(join(B,X_16),B),B))) = join(B,B) ),
inference(resolve,[$cnf( $equal(join(B,meet(B,join(meet(join(B,X_16),B),B))),join(B,meet(B,join(meet(join(B,X_16),B),B)))) )],[refute_0_146,refute_0_147]) ).
cnf(refute_0_149,plain,
join(B,meet(B,join(meet(join(B,X_16),B),B))) = join(B,B),
inference(resolve,[$cnf( $equal(meet(B,join(meet(join(B,X_16),B),B)),B) )],[refute_0_145,refute_0_148]) ).
cnf(refute_0_150,plain,
( join(B,meet(B,join(meet(join(B,X_16),B),B))) != B
| join(B,meet(B,join(meet(join(B,X_16),B),B))) != join(B,B)
| join(B,B) = B ),
introduced(tautology,[equality,[$cnf( $equal(join(B,meet(B,join(meet(join(B,X_16),B),B))),B) ),[0],$fot(join(B,B))]]) ).
cnf(refute_0_151,plain,
( join(B,meet(B,join(meet(join(B,X_16),B),B))) != B
| join(B,B) = B ),
inference(resolve,[$cnf( $equal(join(B,meet(B,join(meet(join(B,X_16),B),B))),join(B,B)) )],[refute_0_149,refute_0_150]) ).
cnf(refute_0_152,plain,
join(B,B) = B,
inference(resolve,[$cnf( $equal(join(B,meet(B,join(meet(join(B,X_16),B),B))),B) )],[refute_0_47,refute_0_151]) ).
cnf(refute_0_153,plain,
join(A,A) = A,
inference(subst,[],[refute_0_152:[bind(B,$fot(A))]]) ).
cnf(refute_0_154,plain,
meet(B,join(A,A)) = meet(B,join(A,A)),
introduced(tautology,[refl,[$fot(meet(B,join(A,A)))]]) ).
cnf(refute_0_155,plain,
( join(A,A) != A
| meet(B,join(A,A)) != meet(B,join(A,A))
| meet(B,join(A,A)) = meet(B,A) ),
introduced(tautology,[equality,[$cnf( $equal(meet(B,join(A,A)),meet(B,join(A,A))) ),[1,1],$fot(A)]]) ).
cnf(refute_0_156,plain,
( join(A,A) != A
| meet(B,join(A,A)) = meet(B,A) ),
inference(resolve,[$cnf( $equal(meet(B,join(A,A)),meet(B,join(A,A))) )],[refute_0_154,refute_0_155]) ).
cnf(refute_0_157,plain,
meet(B,join(A,A)) = meet(B,A),
inference(resolve,[$cnf( $equal(join(A,A),A) )],[refute_0_153,refute_0_156]) ).
cnf(refute_0_158,plain,
meet(meet(A,meet(B,A)),meet(B,join(A,A))) = meet(meet(A,meet(B,A)),meet(B,join(A,A))),
introduced(tautology,[refl,[$fot(meet(meet(A,meet(B,A)),meet(B,join(A,A))))]]) ).
cnf(refute_0_159,plain,
( meet(B,join(A,A)) != meet(B,A)
| meet(meet(A,meet(B,A)),meet(B,join(A,A))) != meet(meet(A,meet(B,A)),meet(B,join(A,A)))
| meet(meet(A,meet(B,A)),meet(B,join(A,A))) = meet(meet(A,meet(B,A)),meet(B,A)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(A,meet(B,A)),meet(B,join(A,A))),meet(meet(A,meet(B,A)),meet(B,join(A,A)))) ),[1,1],$fot(meet(B,A))]]) ).
cnf(refute_0_160,plain,
( meet(B,join(A,A)) != meet(B,A)
| meet(meet(A,meet(B,A)),meet(B,join(A,A))) = meet(meet(A,meet(B,A)),meet(B,A)) ),
inference(resolve,[$cnf( $equal(meet(meet(A,meet(B,A)),meet(B,join(A,A))),meet(meet(A,meet(B,A)),meet(B,join(A,A)))) )],[refute_0_158,refute_0_159]) ).
cnf(refute_0_161,plain,
meet(meet(A,meet(B,A)),meet(B,join(A,A))) = meet(meet(A,meet(B,A)),meet(B,A)),
inference(resolve,[$cnf( $equal(meet(B,join(A,A)),meet(B,A)) )],[refute_0_157,refute_0_160]) ).
cnf(refute_0_162,plain,
meet(A,meet(B,join(A,A))) = meet(A,meet(B,join(A,A))),
introduced(tautology,[refl,[$fot(meet(A,meet(B,join(A,A))))]]) ).
cnf(refute_0_163,plain,
( meet(A,meet(B,join(A,A))) != meet(A,meet(B,join(A,A)))
| meet(B,join(A,A)) != meet(B,A)
| meet(A,meet(B,join(A,A))) = meet(A,meet(B,A)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(A,meet(B,join(A,A))),meet(A,meet(B,join(A,A)))) ),[1,1],$fot(meet(B,A))]]) ).
cnf(refute_0_164,plain,
( meet(B,join(A,A)) != meet(B,A)
| meet(A,meet(B,join(A,A))) = meet(A,meet(B,A)) ),
inference(resolve,[$cnf( $equal(meet(A,meet(B,join(A,A))),meet(A,meet(B,join(A,A)))) )],[refute_0_162,refute_0_163]) ).
cnf(refute_0_165,plain,
meet(A,meet(B,join(A,A))) = meet(A,meet(B,A)),
inference(resolve,[$cnf( $equal(meet(B,join(A,A)),meet(B,A)) )],[refute_0_157,refute_0_164]) ).
cnf(refute_0_166,plain,
join(meet(meet(X_0,X_1),meet(X_0,join(X_0,X_1))),meet(meet(X_0,X_1),join(meet(X_0,X_1),meet(X_0,join(X_0,X_1))))) = meet(X_0,X_1),
inference(subst,[],[wal_absorbtion_1:[bind(A,$fot(meet(X_0,X_1))),bind(B,$fot(meet(X_0,join(X_0,X_1))))]]) ).
cnf(refute_0_167,plain,
join(meet(X_0,X_1),meet(X_0,join(X_0,X_1))) = X_0,
inference(subst,[],[wal_absorbtion_1:[bind(A,$fot(X_0)),bind(B,$fot(X_1))]]) ).
cnf(refute_0_168,plain,
( join(meet(X_0,X_1),meet(X_0,join(X_0,X_1))) != X_0
| join(meet(meet(X_0,X_1),meet(X_0,join(X_0,X_1))),meet(meet(X_0,X_1),join(meet(X_0,X_1),meet(X_0,join(X_0,X_1))))) != meet(X_0,X_1)
| join(meet(meet(X_0,X_1),meet(X_0,join(X_0,X_1))),meet(meet(X_0,X_1),X_0)) = meet(X_0,X_1) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(X_0,X_1),meet(X_0,join(X_0,X_1))),meet(meet(X_0,X_1),join(meet(X_0,X_1),meet(X_0,join(X_0,X_1))))),meet(X_0,X_1)) ),[0,1,1],$fot(X_0)]]) ).
cnf(refute_0_169,plain,
( join(meet(meet(X_0,X_1),meet(X_0,join(X_0,X_1))),meet(meet(X_0,X_1),join(meet(X_0,X_1),meet(X_0,join(X_0,X_1))))) != meet(X_0,X_1)
| join(meet(meet(X_0,X_1),meet(X_0,join(X_0,X_1))),meet(meet(X_0,X_1),X_0)) = meet(X_0,X_1) ),
inference(resolve,[$cnf( $equal(join(meet(X_0,X_1),meet(X_0,join(X_0,X_1))),X_0) )],[refute_0_167,refute_0_168]) ).
cnf(refute_0_170,plain,
join(meet(meet(X_0,X_1),meet(X_0,join(X_0,X_1))),meet(meet(X_0,X_1),X_0)) = meet(X_0,X_1),
inference(resolve,[$cnf( $equal(join(meet(meet(X_0,X_1),meet(X_0,join(X_0,X_1))),meet(meet(X_0,X_1),join(meet(X_0,X_1),meet(X_0,join(X_0,X_1))))),meet(X_0,X_1)) )],[refute_0_166,refute_0_169]) ).
cnf(refute_0_171,plain,
join(meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(meet(X_11,X_11),join(meet(X_11,X_11),join(X_11,X_11)))),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))) = meet(meet(X_11,X_11),join(X_11,X_11)),
inference(subst,[],[refute_0_170:[bind(X_0,$fot(meet(X_11,X_11))),bind(X_1,$fot(join(X_11,X_11)))]]) ).
cnf(refute_0_172,plain,
join(meet(A,A),meet(meet(join(join(A,A),X_9),join(X_10,join(A,A))),join(A,A))) = A,
inference(subst,[],[wal_absorbtion_2:[bind(B,$fot(meet(join(join(A,A),X_9),join(X_10,join(A,A)))))]]) ).
cnf(refute_0_173,plain,
meet(meet(join(join(A,A),X_9),join(X_10,join(A,A))),join(A,A)) = join(A,A),
inference(subst,[],[wal_absorbtion_4:[bind(A,$fot(join(A,A))),bind(B,$fot(X_9)),bind(C,$fot(X_10))]]) ).
cnf(refute_0_174,plain,
( join(meet(A,A),meet(meet(join(join(A,A),X_9),join(X_10,join(A,A))),join(A,A))) != A
| meet(meet(join(join(A,A),X_9),join(X_10,join(A,A))),join(A,A)) != join(A,A)
| join(meet(A,A),join(A,A)) = A ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(A,A),meet(meet(join(join(A,A),X_9),join(X_10,join(A,A))),join(A,A))),A) ),[0,1],$fot(join(A,A))]]) ).
cnf(refute_0_175,plain,
( join(meet(A,A),meet(meet(join(join(A,A),X_9),join(X_10,join(A,A))),join(A,A))) != A
| join(meet(A,A),join(A,A)) = A ),
inference(resolve,[$cnf( $equal(meet(meet(join(join(A,A),X_9),join(X_10,join(A,A))),join(A,A)),join(A,A)) )],[refute_0_173,refute_0_174]) ).
cnf(refute_0_176,plain,
join(meet(A,A),join(A,A)) = A,
inference(resolve,[$cnf( $equal(join(meet(A,A),meet(meet(join(join(A,A),X_9),join(X_10,join(A,A))),join(A,A))),A) )],[refute_0_172,refute_0_175]) ).
cnf(refute_0_177,plain,
join(meet(X_11,X_11),join(X_11,X_11)) = X_11,
inference(subst,[],[refute_0_176:[bind(A,$fot(X_11))]]) ).
cnf(refute_0_178,plain,
( join(meet(X_11,X_11),join(X_11,X_11)) != X_11
| join(meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(meet(X_11,X_11),join(meet(X_11,X_11),join(X_11,X_11)))),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))) != meet(meet(X_11,X_11),join(X_11,X_11))
| join(meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(meet(X_11,X_11),X_11)),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))) = meet(meet(X_11,X_11),join(X_11,X_11)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(meet(X_11,X_11),join(meet(X_11,X_11),join(X_11,X_11)))),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))),meet(meet(X_11,X_11),join(X_11,X_11))) ),[0,0,1,1],$fot(X_11)]]) ).
cnf(refute_0_179,plain,
( join(meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(meet(X_11,X_11),join(meet(X_11,X_11),join(X_11,X_11)))),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))) != meet(meet(X_11,X_11),join(X_11,X_11))
| join(meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(meet(X_11,X_11),X_11)),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))) = meet(meet(X_11,X_11),join(X_11,X_11)) ),
inference(resolve,[$cnf( $equal(join(meet(X_11,X_11),join(X_11,X_11)),X_11) )],[refute_0_177,refute_0_178]) ).
cnf(refute_0_180,plain,
join(meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(meet(X_11,X_11),X_11)),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))) = meet(meet(X_11,X_11),join(X_11,X_11)),
inference(resolve,[$cnf( $equal(join(meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(meet(X_11,X_11),join(meet(X_11,X_11),join(X_11,X_11)))),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))),meet(meet(X_11,X_11),join(X_11,X_11))) )],[refute_0_171,refute_0_179]) ).
cnf(refute_0_181,plain,
meet(meet(join(A,meet(A,join(meet(join(A,X_33),A),A))),A),A) = A,
inference(subst,[],[refute_0_43:[bind(B,$fot(meet(A,join(meet(join(A,X_33),A),A))))]]) ).
cnf(refute_0_182,plain,
( join(A,meet(A,join(meet(join(A,X_33),A),A))) != A
| meet(meet(join(A,meet(A,join(meet(join(A,X_33),A),A))),A),A) != A
| meet(meet(A,A),A) = A ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(join(A,meet(A,join(meet(join(A,X_33),A),A))),A),A),A) ),[0,0,0],$fot(A)]]) ).
cnf(refute_0_183,plain,
( meet(meet(join(A,meet(A,join(meet(join(A,X_33),A),A))),A),A) != A
| meet(meet(A,A),A) = A ),
inference(resolve,[$cnf( $equal(join(A,meet(A,join(meet(join(A,X_33),A),A))),A) )],[refute_0_48,refute_0_182]) ).
cnf(refute_0_184,plain,
meet(meet(A,A),A) = A,
inference(resolve,[$cnf( $equal(meet(meet(join(A,meet(A,join(meet(join(A,X_33),A),A))),A),A),A) )],[refute_0_181,refute_0_183]) ).
cnf(refute_0_185,plain,
meet(meet(X_11,X_11),X_11) = X_11,
inference(subst,[],[refute_0_184:[bind(A,$fot(X_11))]]) ).
cnf(refute_0_186,plain,
meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(meet(X_11,X_11),X_11)) = meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(meet(X_11,X_11),X_11)),
introduced(tautology,[refl,[$fot(meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(meet(X_11,X_11),X_11)))]]) ).
cnf(refute_0_187,plain,
( meet(meet(X_11,X_11),X_11) != X_11
| meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(meet(X_11,X_11),X_11)) != meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(meet(X_11,X_11),X_11))
| meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(meet(X_11,X_11),X_11)) = meet(meet(meet(X_11,X_11),join(X_11,X_11)),X_11) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(meet(X_11,X_11),X_11)),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(meet(X_11,X_11),X_11))) ),[1,1],$fot(X_11)]]) ).
cnf(refute_0_188,plain,
( meet(meet(X_11,X_11),X_11) != X_11
| meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(meet(X_11,X_11),X_11)) = meet(meet(meet(X_11,X_11),join(X_11,X_11)),X_11) ),
inference(resolve,[$cnf( $equal(meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(meet(X_11,X_11),X_11)),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(meet(X_11,X_11),X_11))) )],[refute_0_186,refute_0_187]) ).
cnf(refute_0_189,plain,
meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(meet(X_11,X_11),X_11)) = meet(meet(meet(X_11,X_11),join(X_11,X_11)),X_11),
inference(resolve,[$cnf( $equal(meet(meet(X_11,X_11),X_11),X_11) )],[refute_0_185,refute_0_188]) ).
cnf(refute_0_190,plain,
join(meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(meet(X_11,X_11),X_11)),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))) = join(meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(meet(X_11,X_11),X_11)),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))),
introduced(tautology,[refl,[$fot(join(meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(meet(X_11,X_11),X_11)),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))))]]) ).
cnf(refute_0_191,plain,
( join(meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(meet(X_11,X_11),X_11)),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))) != join(meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(meet(X_11,X_11),X_11)),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11)))
| meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(meet(X_11,X_11),X_11)) != meet(meet(meet(X_11,X_11),join(X_11,X_11)),X_11)
| join(meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(meet(X_11,X_11),X_11)),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))) = join(meet(meet(meet(X_11,X_11),join(X_11,X_11)),X_11),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(meet(X_11,X_11),X_11)),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))),join(meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(meet(X_11,X_11),X_11)),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11)))) ),[1,0],$fot(meet(meet(meet(X_11,X_11),join(X_11,X_11)),X_11))]]) ).
cnf(refute_0_192,plain,
( meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(meet(X_11,X_11),X_11)) != meet(meet(meet(X_11,X_11),join(X_11,X_11)),X_11)
| join(meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(meet(X_11,X_11),X_11)),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))) = join(meet(meet(meet(X_11,X_11),join(X_11,X_11)),X_11),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))) ),
inference(resolve,[$cnf( $equal(join(meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(meet(X_11,X_11),X_11)),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))),join(meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(meet(X_11,X_11),X_11)),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11)))) )],[refute_0_190,refute_0_191]) ).
cnf(refute_0_193,plain,
join(meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(meet(X_11,X_11),X_11)),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))) = join(meet(meet(meet(X_11,X_11),join(X_11,X_11)),X_11),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))),
inference(resolve,[$cnf( $equal(meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(meet(X_11,X_11),X_11)),meet(meet(meet(X_11,X_11),join(X_11,X_11)),X_11)) )],[refute_0_189,refute_0_192]) ).
cnf(refute_0_194,plain,
( join(meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(meet(X_11,X_11),X_11)),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))) != join(meet(meet(meet(X_11,X_11),join(X_11,X_11)),X_11),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11)))
| join(meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(meet(X_11,X_11),X_11)),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))) != meet(meet(X_11,X_11),join(X_11,X_11))
| join(meet(meet(meet(X_11,X_11),join(X_11,X_11)),X_11),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))) = meet(meet(X_11,X_11),join(X_11,X_11)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(meet(X_11,X_11),X_11)),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))),meet(meet(X_11,X_11),join(X_11,X_11))) ),[0],$fot(join(meet(meet(meet(X_11,X_11),join(X_11,X_11)),X_11),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))))]]) ).
cnf(refute_0_195,plain,
( join(meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(meet(X_11,X_11),X_11)),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))) != meet(meet(X_11,X_11),join(X_11,X_11))
| join(meet(meet(meet(X_11,X_11),join(X_11,X_11)),X_11),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))) = meet(meet(X_11,X_11),join(X_11,X_11)) ),
inference(resolve,[$cnf( $equal(join(meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(meet(X_11,X_11),X_11)),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))),join(meet(meet(meet(X_11,X_11),join(X_11,X_11)),X_11),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11)))) )],[refute_0_193,refute_0_194]) ).
cnf(refute_0_196,plain,
join(meet(meet(meet(X_11,X_11),join(X_11,X_11)),X_11),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))) = meet(meet(X_11,X_11),join(X_11,X_11)),
inference(resolve,[$cnf( $equal(join(meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(meet(X_11,X_11),X_11)),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))),meet(meet(X_11,X_11),join(X_11,X_11))) )],[refute_0_180,refute_0_195]) ).
cnf(refute_0_197,plain,
join(meet(X_11,X_11),meet(X_11,X_11)) = meet(X_11,X_11),
inference(subst,[],[refute_0_152:[bind(B,$fot(meet(X_11,X_11)))]]) ).
cnf(refute_0_198,plain,
meet(meet(meet(B,B),join(meet(join(meet(B,X_13),meet(X_14,B)),B),meet(B,B))),meet(B,B)) = meet(B,B),
inference(subst,[],[refute_0_51:[bind(A,$fot(meet(B,B))),bind(C,$fot(meet(join(meet(B,X_13),meet(X_14,B)),B)))]]) ).
cnf(refute_0_199,plain,
join(meet(join(meet(B,X_13),meet(X_14,B)),B),meet(B,join(join(meet(B,X_13),meet(X_14,B)),B))) = B,
inference(subst,[],[wal_absorbtion_3:[bind(A,$fot(join(meet(B,X_13),meet(X_14,B))))]]) ).
cnf(refute_0_200,plain,
join(join(meet(B,X_13),meet(X_14,B)),B) = B,
inference(subst,[],[wal_absorbtion_5:[bind(A,$fot(B)),bind(B,$fot(X_13)),bind(C,$fot(X_14))]]) ).
cnf(refute_0_201,plain,
( join(join(meet(B,X_13),meet(X_14,B)),B) != B
| join(meet(join(meet(B,X_13),meet(X_14,B)),B),meet(B,join(join(meet(B,X_13),meet(X_14,B)),B))) != B
| join(meet(join(meet(B,X_13),meet(X_14,B)),B),meet(B,B)) = B ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(join(meet(B,X_13),meet(X_14,B)),B),meet(B,join(join(meet(B,X_13),meet(X_14,B)),B))),B) ),[0,1,1],$fot(B)]]) ).
cnf(refute_0_202,plain,
( join(meet(join(meet(B,X_13),meet(X_14,B)),B),meet(B,join(join(meet(B,X_13),meet(X_14,B)),B))) != B
| join(meet(join(meet(B,X_13),meet(X_14,B)),B),meet(B,B)) = B ),
inference(resolve,[$cnf( $equal(join(join(meet(B,X_13),meet(X_14,B)),B),B) )],[refute_0_200,refute_0_201]) ).
cnf(refute_0_203,plain,
join(meet(join(meet(B,X_13),meet(X_14,B)),B),meet(B,B)) = B,
inference(resolve,[$cnf( $equal(join(meet(join(meet(B,X_13),meet(X_14,B)),B),meet(B,join(join(meet(B,X_13),meet(X_14,B)),B))),B) )],[refute_0_199,refute_0_202]) ).
cnf(refute_0_204,plain,
( join(meet(join(meet(B,X_13),meet(X_14,B)),B),meet(B,B)) != B
| meet(meet(meet(B,B),join(meet(join(meet(B,X_13),meet(X_14,B)),B),meet(B,B))),meet(B,B)) != meet(B,B)
| meet(meet(meet(B,B),B),meet(B,B)) = meet(B,B) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(meet(B,B),join(meet(join(meet(B,X_13),meet(X_14,B)),B),meet(B,B))),meet(B,B)),meet(B,B)) ),[0,0,1],$fot(B)]]) ).
cnf(refute_0_205,plain,
( meet(meet(meet(B,B),join(meet(join(meet(B,X_13),meet(X_14,B)),B),meet(B,B))),meet(B,B)) != meet(B,B)
| meet(meet(meet(B,B),B),meet(B,B)) = meet(B,B) ),
inference(resolve,[$cnf( $equal(join(meet(join(meet(B,X_13),meet(X_14,B)),B),meet(B,B)),B) )],[refute_0_203,refute_0_204]) ).
cnf(refute_0_206,plain,
meet(meet(meet(B,B),B),meet(B,B)) = meet(B,B),
inference(resolve,[$cnf( $equal(meet(meet(meet(B,B),join(meet(join(meet(B,X_13),meet(X_14,B)),B),meet(B,B))),meet(B,B)),meet(B,B)) )],[refute_0_198,refute_0_205]) ).
cnf(refute_0_207,plain,
meet(meet(B,B),B) = B,
inference(subst,[],[refute_0_184:[bind(A,$fot(B))]]) ).
cnf(refute_0_208,plain,
meet(meet(meet(B,B),B),meet(B,B)) = meet(meet(meet(B,B),B),meet(B,B)),
introduced(tautology,[refl,[$fot(meet(meet(meet(B,B),B),meet(B,B)))]]) ).
cnf(refute_0_209,plain,
( meet(meet(B,B),B) != B
| meet(meet(meet(B,B),B),meet(B,B)) != meet(meet(meet(B,B),B),meet(B,B))
| meet(meet(meet(B,B),B),meet(B,B)) = meet(B,meet(B,B)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(meet(B,B),B),meet(B,B)),meet(meet(meet(B,B),B),meet(B,B))) ),[1,0],$fot(B)]]) ).
cnf(refute_0_210,plain,
( meet(meet(B,B),B) != B
| meet(meet(meet(B,B),B),meet(B,B)) = meet(B,meet(B,B)) ),
inference(resolve,[$cnf( $equal(meet(meet(meet(B,B),B),meet(B,B)),meet(meet(meet(B,B),B),meet(B,B))) )],[refute_0_208,refute_0_209]) ).
cnf(refute_0_211,plain,
meet(meet(meet(B,B),B),meet(B,B)) = meet(B,meet(B,B)),
inference(resolve,[$cnf( $equal(meet(meet(B,B),B),B) )],[refute_0_207,refute_0_210]) ).
cnf(refute_0_212,plain,
( meet(meet(meet(B,B),B),meet(B,B)) != meet(B,B)
| meet(meet(meet(B,B),B),meet(B,B)) != meet(B,meet(B,B))
| meet(B,meet(B,B)) = meet(B,B) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(meet(B,B),B),meet(B,B)),meet(B,B)) ),[0],$fot(meet(B,meet(B,B)))]]) ).
cnf(refute_0_213,plain,
( meet(meet(meet(B,B),B),meet(B,B)) != meet(B,B)
| meet(B,meet(B,B)) = meet(B,B) ),
inference(resolve,[$cnf( $equal(meet(meet(meet(B,B),B),meet(B,B)),meet(B,meet(B,B))) )],[refute_0_211,refute_0_212]) ).
cnf(refute_0_214,plain,
meet(B,meet(B,B)) = meet(B,B),
inference(resolve,[$cnf( $equal(meet(meet(meet(B,B),B),meet(B,B)),meet(B,B)) )],[refute_0_206,refute_0_213]) ).
cnf(refute_0_215,plain,
meet(X_11,meet(X_11,X_11)) = meet(X_11,X_11),
inference(subst,[],[refute_0_214:[bind(B,$fot(X_11))]]) ).
cnf(refute_0_216,plain,
join(X_11,X_11) = X_11,
inference(subst,[],[refute_0_152:[bind(B,$fot(X_11))]]) ).
cnf(refute_0_217,plain,
meet(meet(X_11,X_11),join(X_11,X_11)) = meet(meet(X_11,X_11),join(X_11,X_11)),
introduced(tautology,[refl,[$fot(meet(meet(X_11,X_11),join(X_11,X_11)))]]) ).
cnf(refute_0_218,plain,
( join(X_11,X_11) != X_11
| meet(meet(X_11,X_11),join(X_11,X_11)) != meet(meet(X_11,X_11),join(X_11,X_11))
| meet(meet(X_11,X_11),join(X_11,X_11)) = meet(meet(X_11,X_11),X_11) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_11,X_11),join(X_11,X_11)),meet(meet(X_11,X_11),join(X_11,X_11))) ),[1,1],$fot(X_11)]]) ).
cnf(refute_0_219,plain,
( join(X_11,X_11) != X_11
| meet(meet(X_11,X_11),join(X_11,X_11)) = meet(meet(X_11,X_11),X_11) ),
inference(resolve,[$cnf( $equal(meet(meet(X_11,X_11),join(X_11,X_11)),meet(meet(X_11,X_11),join(X_11,X_11))) )],[refute_0_217,refute_0_218]) ).
cnf(refute_0_220,plain,
meet(meet(X_11,X_11),join(X_11,X_11)) = meet(meet(X_11,X_11),X_11),
inference(resolve,[$cnf( $equal(join(X_11,X_11),X_11) )],[refute_0_216,refute_0_219]) ).
cnf(refute_0_221,plain,
( meet(meet(X_11,X_11),X_11) != X_11
| meet(meet(X_11,X_11),join(X_11,X_11)) != meet(meet(X_11,X_11),X_11)
| meet(meet(X_11,X_11),join(X_11,X_11)) = X_11 ),
inference(subst,[],[refute_0_126:[bind(X,$fot(meet(meet(X_11,X_11),join(X_11,X_11)))),bind(Y,$fot(meet(meet(X_11,X_11),X_11))),bind(Z,$fot(X_11))]]) ).
cnf(refute_0_222,plain,
( meet(meet(X_11,X_11),X_11) != X_11
| meet(meet(X_11,X_11),join(X_11,X_11)) = X_11 ),
inference(resolve,[$cnf( $equal(meet(meet(X_11,X_11),join(X_11,X_11)),meet(meet(X_11,X_11),X_11)) )],[refute_0_220,refute_0_221]) ).
cnf(refute_0_223,plain,
meet(meet(X_11,X_11),join(X_11,X_11)) = X_11,
inference(resolve,[$cnf( $equal(meet(meet(X_11,X_11),X_11),X_11) )],[refute_0_185,refute_0_222]) ).
cnf(refute_0_224,plain,
meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11)) = meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11)),
introduced(tautology,[refl,[$fot(meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11)))]]) ).
cnf(refute_0_225,plain,
( meet(meet(X_11,X_11),join(X_11,X_11)) != X_11
| meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11)) != meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))
| meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11)) = meet(X_11,meet(X_11,X_11)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11)),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))) ),[1,0],$fot(X_11)]]) ).
cnf(refute_0_226,plain,
( meet(meet(X_11,X_11),join(X_11,X_11)) != X_11
| meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11)) = meet(X_11,meet(X_11,X_11)) ),
inference(resolve,[$cnf( $equal(meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11)),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))) )],[refute_0_224,refute_0_225]) ).
cnf(refute_0_227,plain,
meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11)) = meet(X_11,meet(X_11,X_11)),
inference(resolve,[$cnf( $equal(meet(meet(X_11,X_11),join(X_11,X_11)),X_11) )],[refute_0_223,refute_0_226]) ).
cnf(refute_0_228,plain,
( meet(X_11,meet(X_11,X_11)) != meet(X_11,X_11)
| meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11)) != meet(X_11,meet(X_11,X_11))
| meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11)) = meet(X_11,X_11) ),
inference(subst,[],[refute_0_126:[bind(X,$fot(meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11)))),bind(Y,$fot(meet(X_11,meet(X_11,X_11)))),bind(Z,$fot(meet(X_11,X_11)))]]) ).
cnf(refute_0_229,plain,
( meet(X_11,meet(X_11,X_11)) != meet(X_11,X_11)
| meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11)) = meet(X_11,X_11) ),
inference(resolve,[$cnf( $equal(meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11)),meet(X_11,meet(X_11,X_11))) )],[refute_0_227,refute_0_228]) ).
cnf(refute_0_230,plain,
meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11)) = meet(X_11,X_11),
inference(resolve,[$cnf( $equal(meet(X_11,meet(X_11,X_11)),meet(X_11,X_11)) )],[refute_0_215,refute_0_229]) ).
cnf(refute_0_231,plain,
join(meet(X_11,X_11),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))) = join(meet(X_11,X_11),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))),
introduced(tautology,[refl,[$fot(join(meet(X_11,X_11),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))))]]) ).
cnf(refute_0_232,plain,
( join(meet(X_11,X_11),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))) != join(meet(X_11,X_11),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11)))
| meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11)) != meet(X_11,X_11)
| join(meet(X_11,X_11),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))) = join(meet(X_11,X_11),meet(X_11,X_11)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_11,X_11),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))),join(meet(X_11,X_11),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11)))) ),[1,1],$fot(meet(X_11,X_11))]]) ).
cnf(refute_0_233,plain,
( meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11)) != meet(X_11,X_11)
| join(meet(X_11,X_11),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))) = join(meet(X_11,X_11),meet(X_11,X_11)) ),
inference(resolve,[$cnf( $equal(join(meet(X_11,X_11),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))),join(meet(X_11,X_11),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11)))) )],[refute_0_231,refute_0_232]) ).
cnf(refute_0_234,plain,
join(meet(X_11,X_11),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))) = join(meet(X_11,X_11),meet(X_11,X_11)),
inference(resolve,[$cnf( $equal(meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11)),meet(X_11,X_11)) )],[refute_0_230,refute_0_233]) ).
cnf(refute_0_235,plain,
meet(meet(meet(X_11,X_11),join(X_11,X_11)),X_11) = meet(meet(meet(X_11,X_11),join(X_11,X_11)),X_11),
introduced(tautology,[refl,[$fot(meet(meet(meet(X_11,X_11),join(X_11,X_11)),X_11))]]) ).
cnf(refute_0_236,plain,
( meet(meet(X_11,X_11),join(X_11,X_11)) != X_11
| meet(meet(meet(X_11,X_11),join(X_11,X_11)),X_11) != meet(meet(meet(X_11,X_11),join(X_11,X_11)),X_11)
| meet(meet(meet(X_11,X_11),join(X_11,X_11)),X_11) = meet(X_11,X_11) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(meet(X_11,X_11),join(X_11,X_11)),X_11),meet(meet(meet(X_11,X_11),join(X_11,X_11)),X_11)) ),[1,0],$fot(X_11)]]) ).
cnf(refute_0_237,plain,
( meet(meet(X_11,X_11),join(X_11,X_11)) != X_11
| meet(meet(meet(X_11,X_11),join(X_11,X_11)),X_11) = meet(X_11,X_11) ),
inference(resolve,[$cnf( $equal(meet(meet(meet(X_11,X_11),join(X_11,X_11)),X_11),meet(meet(meet(X_11,X_11),join(X_11,X_11)),X_11)) )],[refute_0_235,refute_0_236]) ).
cnf(refute_0_238,plain,
meet(meet(meet(X_11,X_11),join(X_11,X_11)),X_11) = meet(X_11,X_11),
inference(resolve,[$cnf( $equal(meet(meet(X_11,X_11),join(X_11,X_11)),X_11) )],[refute_0_223,refute_0_237]) ).
cnf(refute_0_239,plain,
join(meet(meet(meet(X_11,X_11),join(X_11,X_11)),X_11),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))) = join(meet(meet(meet(X_11,X_11),join(X_11,X_11)),X_11),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))),
introduced(tautology,[refl,[$fot(join(meet(meet(meet(X_11,X_11),join(X_11,X_11)),X_11),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))))]]) ).
cnf(refute_0_240,plain,
( join(meet(meet(meet(X_11,X_11),join(X_11,X_11)),X_11),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))) != join(meet(meet(meet(X_11,X_11),join(X_11,X_11)),X_11),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11)))
| meet(meet(meet(X_11,X_11),join(X_11,X_11)),X_11) != meet(X_11,X_11)
| join(meet(meet(meet(X_11,X_11),join(X_11,X_11)),X_11),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))) = join(meet(X_11,X_11),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(meet(X_11,X_11),join(X_11,X_11)),X_11),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))),join(meet(meet(meet(X_11,X_11),join(X_11,X_11)),X_11),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11)))) ),[1,0],$fot(meet(X_11,X_11))]]) ).
cnf(refute_0_241,plain,
( meet(meet(meet(X_11,X_11),join(X_11,X_11)),X_11) != meet(X_11,X_11)
| join(meet(meet(meet(X_11,X_11),join(X_11,X_11)),X_11),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))) = join(meet(X_11,X_11),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))) ),
inference(resolve,[$cnf( $equal(join(meet(meet(meet(X_11,X_11),join(X_11,X_11)),X_11),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))),join(meet(meet(meet(X_11,X_11),join(X_11,X_11)),X_11),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11)))) )],[refute_0_239,refute_0_240]) ).
cnf(refute_0_242,plain,
join(meet(meet(meet(X_11,X_11),join(X_11,X_11)),X_11),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))) = join(meet(X_11,X_11),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))),
inference(resolve,[$cnf( $equal(meet(meet(meet(X_11,X_11),join(X_11,X_11)),X_11),meet(X_11,X_11)) )],[refute_0_238,refute_0_241]) ).
cnf(refute_0_243,plain,
( join(meet(X_11,X_11),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))) != join(meet(X_11,X_11),meet(X_11,X_11))
| join(meet(meet(meet(X_11,X_11),join(X_11,X_11)),X_11),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))) != join(meet(X_11,X_11),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11)))
| join(meet(meet(meet(X_11,X_11),join(X_11,X_11)),X_11),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))) = join(meet(X_11,X_11),meet(X_11,X_11)) ),
inference(subst,[],[refute_0_126:[bind(X,$fot(join(meet(meet(meet(X_11,X_11),join(X_11,X_11)),X_11),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))))),bind(Y,$fot(join(meet(X_11,X_11),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))))),bind(Z,$fot(join(meet(X_11,X_11),meet(X_11,X_11))))]]) ).
cnf(refute_0_244,plain,
( join(meet(X_11,X_11),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))) != join(meet(X_11,X_11),meet(X_11,X_11))
| join(meet(meet(meet(X_11,X_11),join(X_11,X_11)),X_11),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))) = join(meet(X_11,X_11),meet(X_11,X_11)) ),
inference(resolve,[$cnf( $equal(join(meet(meet(meet(X_11,X_11),join(X_11,X_11)),X_11),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))),join(meet(X_11,X_11),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11)))) )],[refute_0_242,refute_0_243]) ).
cnf(refute_0_245,plain,
join(meet(meet(meet(X_11,X_11),join(X_11,X_11)),X_11),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))) = join(meet(X_11,X_11),meet(X_11,X_11)),
inference(resolve,[$cnf( $equal(join(meet(X_11,X_11),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))),join(meet(X_11,X_11),meet(X_11,X_11))) )],[refute_0_234,refute_0_244]) ).
cnf(refute_0_246,plain,
( join(meet(X_11,X_11),meet(X_11,X_11)) != meet(X_11,X_11)
| join(meet(meet(meet(X_11,X_11),join(X_11,X_11)),X_11),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))) != join(meet(X_11,X_11),meet(X_11,X_11))
| join(meet(meet(meet(X_11,X_11),join(X_11,X_11)),X_11),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))) = meet(X_11,X_11) ),
inference(subst,[],[refute_0_126:[bind(X,$fot(join(meet(meet(meet(X_11,X_11),join(X_11,X_11)),X_11),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))))),bind(Y,$fot(join(meet(X_11,X_11),meet(X_11,X_11)))),bind(Z,$fot(meet(X_11,X_11)))]]) ).
cnf(refute_0_247,plain,
( join(meet(X_11,X_11),meet(X_11,X_11)) != meet(X_11,X_11)
| join(meet(meet(meet(X_11,X_11),join(X_11,X_11)),X_11),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))) = meet(X_11,X_11) ),
inference(resolve,[$cnf( $equal(join(meet(meet(meet(X_11,X_11),join(X_11,X_11)),X_11),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))),join(meet(X_11,X_11),meet(X_11,X_11))) )],[refute_0_245,refute_0_246]) ).
cnf(refute_0_248,plain,
join(meet(meet(meet(X_11,X_11),join(X_11,X_11)),X_11),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))) = meet(X_11,X_11),
inference(resolve,[$cnf( $equal(join(meet(X_11,X_11),meet(X_11,X_11)),meet(X_11,X_11)) )],[refute_0_197,refute_0_247]) ).
cnf(refute_0_249,plain,
( join(meet(meet(meet(X_11,X_11),join(X_11,X_11)),X_11),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))) != meet(X_11,X_11)
| join(meet(meet(meet(X_11,X_11),join(X_11,X_11)),X_11),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))) != meet(meet(X_11,X_11),join(X_11,X_11))
| meet(X_11,X_11) = meet(meet(X_11,X_11),join(X_11,X_11)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(meet(X_11,X_11),join(X_11,X_11)),X_11),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))),meet(meet(X_11,X_11),join(X_11,X_11))) ),[0],$fot(meet(X_11,X_11))]]) ).
cnf(refute_0_250,plain,
( join(meet(meet(meet(X_11,X_11),join(X_11,X_11)),X_11),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))) != meet(meet(X_11,X_11),join(X_11,X_11))
| meet(X_11,X_11) = meet(meet(X_11,X_11),join(X_11,X_11)) ),
inference(resolve,[$cnf( $equal(join(meet(meet(meet(X_11,X_11),join(X_11,X_11)),X_11),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))),meet(X_11,X_11)) )],[refute_0_248,refute_0_249]) ).
cnf(refute_0_251,plain,
( meet(X_11,X_11) != meet(meet(X_11,X_11),join(X_11,X_11))
| meet(meet(X_11,X_11),join(X_11,X_11)) != X_11
| meet(X_11,X_11) = X_11 ),
introduced(tautology,[equality,[$cnf( ~ $equal(meet(X_11,X_11),X_11) ),[0],$fot(meet(meet(X_11,X_11),join(X_11,X_11)))]]) ).
cnf(refute_0_252,plain,
( meet(X_11,X_11) != meet(meet(X_11,X_11),join(X_11,X_11))
| meet(X_11,X_11) = X_11 ),
inference(resolve,[$cnf( $equal(meet(meet(X_11,X_11),join(X_11,X_11)),X_11) )],[refute_0_223,refute_0_251]) ).
cnf(refute_0_253,plain,
( join(meet(meet(meet(X_11,X_11),join(X_11,X_11)),X_11),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))) != meet(meet(X_11,X_11),join(X_11,X_11))
| meet(X_11,X_11) = X_11 ),
inference(resolve,[$cnf( $equal(meet(X_11,X_11),meet(meet(X_11,X_11),join(X_11,X_11))) )],[refute_0_250,refute_0_252]) ).
cnf(refute_0_254,plain,
meet(X_11,X_11) = X_11,
inference(resolve,[$cnf( $equal(join(meet(meet(meet(X_11,X_11),join(X_11,X_11)),X_11),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))),meet(meet(X_11,X_11),join(X_11,X_11))) )],[refute_0_196,refute_0_253]) ).
cnf(refute_0_255,plain,
meet(A,A) = A,
inference(subst,[],[refute_0_254:[bind(X_11,$fot(A))]]) ).
cnf(refute_0_256,plain,
meet(meet(A,A),meet(B,join(A,A))) = meet(meet(A,A),meet(B,join(A,A))),
introduced(tautology,[refl,[$fot(meet(meet(A,A),meet(B,join(A,A))))]]) ).
cnf(refute_0_257,plain,
( meet(A,A) != A
| meet(meet(A,A),meet(B,join(A,A))) != meet(meet(A,A),meet(B,join(A,A)))
| meet(meet(A,A),meet(B,join(A,A))) = meet(A,meet(B,join(A,A))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(A,A),meet(B,join(A,A))),meet(meet(A,A),meet(B,join(A,A)))) ),[1,0],$fot(A)]]) ).
cnf(refute_0_258,plain,
( meet(A,A) != A
| meet(meet(A,A),meet(B,join(A,A))) = meet(A,meet(B,join(A,A))) ),
inference(resolve,[$cnf( $equal(meet(meet(A,A),meet(B,join(A,A))),meet(meet(A,A),meet(B,join(A,A)))) )],[refute_0_256,refute_0_257]) ).
cnf(refute_0_259,plain,
meet(meet(A,A),meet(B,join(A,A))) = meet(A,meet(B,join(A,A))),
inference(resolve,[$cnf( $equal(meet(A,A),A) )],[refute_0_255,refute_0_258]) ).
cnf(refute_0_260,plain,
( meet(A,meet(B,join(A,A))) != meet(A,meet(B,A))
| meet(meet(A,A),meet(B,join(A,A))) != meet(A,meet(B,join(A,A)))
| meet(meet(A,A),meet(B,join(A,A))) = meet(A,meet(B,A)) ),
inference(subst,[],[refute_0_126:[bind(X,$fot(meet(meet(A,A),meet(B,join(A,A))))),bind(Y,$fot(meet(A,meet(B,join(A,A))))),bind(Z,$fot(meet(A,meet(B,A))))]]) ).
cnf(refute_0_261,plain,
( meet(A,meet(B,join(A,A))) != meet(A,meet(B,A))
| meet(meet(A,A),meet(B,join(A,A))) = meet(A,meet(B,A)) ),
inference(resolve,[$cnf( $equal(meet(meet(A,A),meet(B,join(A,A))),meet(A,meet(B,join(A,A)))) )],[refute_0_259,refute_0_260]) ).
cnf(refute_0_262,plain,
meet(meet(A,A),meet(B,join(A,A))) = meet(A,meet(B,A)),
inference(resolve,[$cnf( $equal(meet(A,meet(B,join(A,A))),meet(A,meet(B,A))) )],[refute_0_165,refute_0_261]) ).
cnf(refute_0_263,plain,
meet(meet(meet(A,A),meet(B,join(A,A))),meet(B,join(A,A))) = meet(meet(meet(A,A),meet(B,join(A,A))),meet(B,join(A,A))),
introduced(tautology,[refl,[$fot(meet(meet(meet(A,A),meet(B,join(A,A))),meet(B,join(A,A))))]]) ).
cnf(refute_0_264,plain,
( meet(meet(A,A),meet(B,join(A,A))) != meet(A,meet(B,A))
| meet(meet(meet(A,A),meet(B,join(A,A))),meet(B,join(A,A))) != meet(meet(meet(A,A),meet(B,join(A,A))),meet(B,join(A,A)))
| meet(meet(meet(A,A),meet(B,join(A,A))),meet(B,join(A,A))) = meet(meet(A,meet(B,A)),meet(B,join(A,A))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(meet(A,A),meet(B,join(A,A))),meet(B,join(A,A))),meet(meet(meet(A,A),meet(B,join(A,A))),meet(B,join(A,A)))) ),[1,0],$fot(meet(A,meet(B,A)))]]) ).
cnf(refute_0_265,plain,
( meet(meet(A,A),meet(B,join(A,A))) != meet(A,meet(B,A))
| meet(meet(meet(A,A),meet(B,join(A,A))),meet(B,join(A,A))) = meet(meet(A,meet(B,A)),meet(B,join(A,A))) ),
inference(resolve,[$cnf( $equal(meet(meet(meet(A,A),meet(B,join(A,A))),meet(B,join(A,A))),meet(meet(meet(A,A),meet(B,join(A,A))),meet(B,join(A,A)))) )],[refute_0_263,refute_0_264]) ).
cnf(refute_0_266,plain,
meet(meet(meet(A,A),meet(B,join(A,A))),meet(B,join(A,A))) = meet(meet(A,meet(B,A)),meet(B,join(A,A))),
inference(resolve,[$cnf( $equal(meet(meet(A,A),meet(B,join(A,A))),meet(A,meet(B,A))) )],[refute_0_262,refute_0_265]) ).
cnf(refute_0_267,plain,
( meet(meet(A,meet(B,A)),meet(B,join(A,A))) != meet(meet(A,meet(B,A)),meet(B,A))
| meet(meet(meet(A,A),meet(B,join(A,A))),meet(B,join(A,A))) != meet(meet(A,meet(B,A)),meet(B,join(A,A)))
| meet(meet(meet(A,A),meet(B,join(A,A))),meet(B,join(A,A))) = meet(meet(A,meet(B,A)),meet(B,A)) ),
inference(subst,[],[refute_0_126:[bind(X,$fot(meet(meet(meet(A,A),meet(B,join(A,A))),meet(B,join(A,A))))),bind(Y,$fot(meet(meet(A,meet(B,A)),meet(B,join(A,A))))),bind(Z,$fot(meet(meet(A,meet(B,A)),meet(B,A))))]]) ).
cnf(refute_0_268,plain,
( meet(meet(A,meet(B,A)),meet(B,join(A,A))) != meet(meet(A,meet(B,A)),meet(B,A))
| meet(meet(meet(A,A),meet(B,join(A,A))),meet(B,join(A,A))) = meet(meet(A,meet(B,A)),meet(B,A)) ),
inference(resolve,[$cnf( $equal(meet(meet(meet(A,A),meet(B,join(A,A))),meet(B,join(A,A))),meet(meet(A,meet(B,A)),meet(B,join(A,A)))) )],[refute_0_266,refute_0_267]) ).
cnf(refute_0_269,plain,
meet(meet(meet(A,A),meet(B,join(A,A))),meet(B,join(A,A))) = meet(meet(A,meet(B,A)),meet(B,A)),
inference(resolve,[$cnf( $equal(meet(meet(A,meet(B,A)),meet(B,join(A,A))),meet(meet(A,meet(B,A)),meet(B,A))) )],[refute_0_161,refute_0_268]) ).
cnf(refute_0_270,plain,
( meet(meet(A,meet(B,A)),meet(B,A)) != meet(B,A)
| meet(meet(meet(A,A),meet(B,join(A,A))),meet(B,join(A,A))) != meet(meet(A,meet(B,A)),meet(B,A))
| meet(meet(meet(A,A),meet(B,join(A,A))),meet(B,join(A,A))) = meet(B,A) ),
inference(subst,[],[refute_0_126:[bind(X,$fot(meet(meet(meet(A,A),meet(B,join(A,A))),meet(B,join(A,A))))),bind(Y,$fot(meet(meet(A,meet(B,A)),meet(B,A)))),bind(Z,$fot(meet(B,A)))]]) ).
cnf(refute_0_271,plain,
( meet(meet(A,meet(B,A)),meet(B,A)) != meet(B,A)
| meet(meet(meet(A,A),meet(B,join(A,A))),meet(B,join(A,A))) = meet(B,A) ),
inference(resolve,[$cnf( $equal(meet(meet(meet(A,A),meet(B,join(A,A))),meet(B,join(A,A))),meet(meet(A,meet(B,A)),meet(B,A))) )],[refute_0_269,refute_0_270]) ).
cnf(refute_0_272,plain,
meet(meet(meet(A,A),meet(B,join(A,A))),meet(B,join(A,A))) = meet(B,A),
inference(resolve,[$cnf( $equal(meet(meet(A,meet(B,A)),meet(B,A)),meet(B,A)) )],[refute_0_75,refute_0_271]) ).
cnf(refute_0_273,plain,
join(meet(meet(A,meet(B,A)),meet(meet(B,A),A)),meet(meet(meet(A,A),meet(B,join(A,A))),meet(B,join(A,A)))) = join(meet(meet(A,meet(B,A)),meet(meet(B,A),A)),meet(meet(meet(A,A),meet(B,join(A,A))),meet(B,join(A,A)))),
introduced(tautology,[refl,[$fot(join(meet(meet(A,meet(B,A)),meet(meet(B,A),A)),meet(meet(meet(A,A),meet(B,join(A,A))),meet(B,join(A,A)))))]]) ).
cnf(refute_0_274,plain,
( join(meet(meet(A,meet(B,A)),meet(meet(B,A),A)),meet(meet(meet(A,A),meet(B,join(A,A))),meet(B,join(A,A)))) != join(meet(meet(A,meet(B,A)),meet(meet(B,A),A)),meet(meet(meet(A,A),meet(B,join(A,A))),meet(B,join(A,A))))
| meet(meet(meet(A,A),meet(B,join(A,A))),meet(B,join(A,A))) != meet(B,A)
| join(meet(meet(A,meet(B,A)),meet(meet(B,A),A)),meet(meet(meet(A,A),meet(B,join(A,A))),meet(B,join(A,A)))) = join(meet(meet(A,meet(B,A)),meet(meet(B,A),A)),meet(B,A)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(A,meet(B,A)),meet(meet(B,A),A)),meet(meet(meet(A,A),meet(B,join(A,A))),meet(B,join(A,A)))),join(meet(meet(A,meet(B,A)),meet(meet(B,A),A)),meet(meet(meet(A,A),meet(B,join(A,A))),meet(B,join(A,A))))) ),[1,1],$fot(meet(B,A))]]) ).
cnf(refute_0_275,plain,
( meet(meet(meet(A,A),meet(B,join(A,A))),meet(B,join(A,A))) != meet(B,A)
| join(meet(meet(A,meet(B,A)),meet(meet(B,A),A)),meet(meet(meet(A,A),meet(B,join(A,A))),meet(B,join(A,A)))) = join(meet(meet(A,meet(B,A)),meet(meet(B,A),A)),meet(B,A)) ),
inference(resolve,[$cnf( $equal(join(meet(meet(A,meet(B,A)),meet(meet(B,A),A)),meet(meet(meet(A,A),meet(B,join(A,A))),meet(B,join(A,A)))),join(meet(meet(A,meet(B,A)),meet(meet(B,A),A)),meet(meet(meet(A,A),meet(B,join(A,A))),meet(B,join(A,A))))) )],[refute_0_273,refute_0_274]) ).
cnf(refute_0_276,plain,
join(meet(meet(A,meet(B,A)),meet(meet(B,A),A)),meet(meet(meet(A,A),meet(B,join(A,A))),meet(B,join(A,A)))) = join(meet(meet(A,meet(B,A)),meet(meet(B,A),A)),meet(B,A)),
inference(resolve,[$cnf( $equal(meet(meet(meet(A,A),meet(B,join(A,A))),meet(B,join(A,A))),meet(B,A)) )],[refute_0_272,refute_0_275]) ).
cnf(refute_0_277,plain,
meet(meet(B,join(A,A)),A) = meet(meet(B,join(A,A)),A),
introduced(tautology,[refl,[$fot(meet(meet(B,join(A,A)),A))]]) ).
cnf(refute_0_278,plain,
( meet(B,join(A,A)) != meet(B,A)
| meet(meet(B,join(A,A)),A) != meet(meet(B,join(A,A)),A)
| meet(meet(B,join(A,A)),A) = meet(meet(B,A),A) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(B,join(A,A)),A),meet(meet(B,join(A,A)),A)) ),[1,0],$fot(meet(B,A))]]) ).
cnf(refute_0_279,plain,
( meet(B,join(A,A)) != meet(B,A)
| meet(meet(B,join(A,A)),A) = meet(meet(B,A),A) ),
inference(resolve,[$cnf( $equal(meet(meet(B,join(A,A)),A),meet(meet(B,join(A,A)),A)) )],[refute_0_277,refute_0_278]) ).
cnf(refute_0_280,plain,
meet(meet(B,join(A,A)),A) = meet(meet(B,A),A),
inference(resolve,[$cnf( $equal(meet(B,join(A,A)),meet(B,A)) )],[refute_0_157,refute_0_279]) ).
cnf(refute_0_281,plain,
meet(meet(A,meet(B,A)),meet(meet(B,join(A,A)),A)) = meet(meet(A,meet(B,A)),meet(meet(B,join(A,A)),A)),
introduced(tautology,[refl,[$fot(meet(meet(A,meet(B,A)),meet(meet(B,join(A,A)),A)))]]) ).
cnf(refute_0_282,plain,
( meet(meet(A,meet(B,A)),meet(meet(B,join(A,A)),A)) != meet(meet(A,meet(B,A)),meet(meet(B,join(A,A)),A))
| meet(meet(B,join(A,A)),A) != meet(meet(B,A),A)
| meet(meet(A,meet(B,A)),meet(meet(B,join(A,A)),A)) = meet(meet(A,meet(B,A)),meet(meet(B,A),A)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(A,meet(B,A)),meet(meet(B,join(A,A)),A)),meet(meet(A,meet(B,A)),meet(meet(B,join(A,A)),A))) ),[1,1],$fot(meet(meet(B,A),A))]]) ).
cnf(refute_0_283,plain,
( meet(meet(B,join(A,A)),A) != meet(meet(B,A),A)
| meet(meet(A,meet(B,A)),meet(meet(B,join(A,A)),A)) = meet(meet(A,meet(B,A)),meet(meet(B,A),A)) ),
inference(resolve,[$cnf( $equal(meet(meet(A,meet(B,A)),meet(meet(B,join(A,A)),A)),meet(meet(A,meet(B,A)),meet(meet(B,join(A,A)),A))) )],[refute_0_281,refute_0_282]) ).
cnf(refute_0_284,plain,
meet(meet(A,meet(B,A)),meet(meet(B,join(A,A)),A)) = meet(meet(A,meet(B,A)),meet(meet(B,A),A)),
inference(resolve,[$cnf( $equal(meet(meet(B,join(A,A)),A),meet(meet(B,A),A)) )],[refute_0_280,refute_0_283]) ).
cnf(refute_0_285,plain,
meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),A)) = meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),A)),
introduced(tautology,[refl,[$fot(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),A)))]]) ).
cnf(refute_0_286,plain,
( meet(meet(A,A),meet(B,join(A,A))) != meet(A,meet(B,A))
| meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),A)) != meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),A))
| meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),A)) = meet(meet(A,meet(B,A)),meet(meet(B,join(A,A)),A)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),A)),meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),A))) ),[1,0],$fot(meet(A,meet(B,A)))]]) ).
cnf(refute_0_287,plain,
( meet(meet(A,A),meet(B,join(A,A))) != meet(A,meet(B,A))
| meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),A)) = meet(meet(A,meet(B,A)),meet(meet(B,join(A,A)),A)) ),
inference(resolve,[$cnf( $equal(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),A)),meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),A))) )],[refute_0_285,refute_0_286]) ).
cnf(refute_0_288,plain,
meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),A)) = meet(meet(A,meet(B,A)),meet(meet(B,join(A,A)),A)),
inference(resolve,[$cnf( $equal(meet(meet(A,A),meet(B,join(A,A))),meet(A,meet(B,A))) )],[refute_0_262,refute_0_287]) ).
cnf(refute_0_289,plain,
( meet(meet(A,meet(B,A)),meet(meet(B,join(A,A)),A)) != meet(meet(A,meet(B,A)),meet(meet(B,A),A))
| meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),A)) != meet(meet(A,meet(B,A)),meet(meet(B,join(A,A)),A))
| meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),A)) = meet(meet(A,meet(B,A)),meet(meet(B,A),A)) ),
inference(subst,[],[refute_0_126:[bind(X,$fot(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),A)))),bind(Y,$fot(meet(meet(A,meet(B,A)),meet(meet(B,join(A,A)),A)))),bind(Z,$fot(meet(meet(A,meet(B,A)),meet(meet(B,A),A))))]]) ).
cnf(refute_0_290,plain,
( meet(meet(A,meet(B,A)),meet(meet(B,join(A,A)),A)) != meet(meet(A,meet(B,A)),meet(meet(B,A),A))
| meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),A)) = meet(meet(A,meet(B,A)),meet(meet(B,A),A)) ),
inference(resolve,[$cnf( $equal(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),A)),meet(meet(A,meet(B,A)),meet(meet(B,join(A,A)),A))) )],[refute_0_288,refute_0_289]) ).
cnf(refute_0_291,plain,
meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),A)) = meet(meet(A,meet(B,A)),meet(meet(B,A),A)),
inference(resolve,[$cnf( $equal(meet(meet(A,meet(B,A)),meet(meet(B,join(A,A)),A)),meet(meet(A,meet(B,A)),meet(meet(B,A),A))) )],[refute_0_284,refute_0_290]) ).
cnf(refute_0_292,plain,
join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),A)),meet(meet(meet(A,A),meet(B,join(A,A))),meet(B,join(A,A)))) = join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),A)),meet(meet(meet(A,A),meet(B,join(A,A))),meet(B,join(A,A)))),
introduced(tautology,[refl,[$fot(join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),A)),meet(meet(meet(A,A),meet(B,join(A,A))),meet(B,join(A,A)))))]]) ).
cnf(refute_0_293,plain,
( join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),A)),meet(meet(meet(A,A),meet(B,join(A,A))),meet(B,join(A,A)))) != join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),A)),meet(meet(meet(A,A),meet(B,join(A,A))),meet(B,join(A,A))))
| meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),A)) != meet(meet(A,meet(B,A)),meet(meet(B,A),A))
| join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),A)),meet(meet(meet(A,A),meet(B,join(A,A))),meet(B,join(A,A)))) = join(meet(meet(A,meet(B,A)),meet(meet(B,A),A)),meet(meet(meet(A,A),meet(B,join(A,A))),meet(B,join(A,A)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),A)),meet(meet(meet(A,A),meet(B,join(A,A))),meet(B,join(A,A)))),join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),A)),meet(meet(meet(A,A),meet(B,join(A,A))),meet(B,join(A,A))))) ),[1,0],$fot(meet(meet(A,meet(B,A)),meet(meet(B,A),A)))]]) ).
cnf(refute_0_294,plain,
( meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),A)) != meet(meet(A,meet(B,A)),meet(meet(B,A),A))
| join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),A)),meet(meet(meet(A,A),meet(B,join(A,A))),meet(B,join(A,A)))) = join(meet(meet(A,meet(B,A)),meet(meet(B,A),A)),meet(meet(meet(A,A),meet(B,join(A,A))),meet(B,join(A,A)))) ),
inference(resolve,[$cnf( $equal(join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),A)),meet(meet(meet(A,A),meet(B,join(A,A))),meet(B,join(A,A)))),join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),A)),meet(meet(meet(A,A),meet(B,join(A,A))),meet(B,join(A,A))))) )],[refute_0_292,refute_0_293]) ).
cnf(refute_0_295,plain,
join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),A)),meet(meet(meet(A,A),meet(B,join(A,A))),meet(B,join(A,A)))) = join(meet(meet(A,meet(B,A)),meet(meet(B,A),A)),meet(meet(meet(A,A),meet(B,join(A,A))),meet(B,join(A,A)))),
inference(resolve,[$cnf( $equal(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),A)),meet(meet(A,meet(B,A)),meet(meet(B,A),A))) )],[refute_0_291,refute_0_294]) ).
cnf(refute_0_296,plain,
( join(meet(meet(A,meet(B,A)),meet(meet(B,A),A)),meet(meet(meet(A,A),meet(B,join(A,A))),meet(B,join(A,A)))) != join(meet(meet(A,meet(B,A)),meet(meet(B,A),A)),meet(B,A))
| join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),A)),meet(meet(meet(A,A),meet(B,join(A,A))),meet(B,join(A,A)))) != join(meet(meet(A,meet(B,A)),meet(meet(B,A),A)),meet(meet(meet(A,A),meet(B,join(A,A))),meet(B,join(A,A))))
| join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),A)),meet(meet(meet(A,A),meet(B,join(A,A))),meet(B,join(A,A)))) = join(meet(meet(A,meet(B,A)),meet(meet(B,A),A)),meet(B,A)) ),
inference(subst,[],[refute_0_126:[bind(X,$fot(join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),A)),meet(meet(meet(A,A),meet(B,join(A,A))),meet(B,join(A,A)))))),bind(Y,$fot(join(meet(meet(A,meet(B,A)),meet(meet(B,A),A)),meet(meet(meet(A,A),meet(B,join(A,A))),meet(B,join(A,A)))))),bind(Z,$fot(join(meet(meet(A,meet(B,A)),meet(meet(B,A),A)),meet(B,A))))]]) ).
cnf(refute_0_297,plain,
( join(meet(meet(A,meet(B,A)),meet(meet(B,A),A)),meet(meet(meet(A,A),meet(B,join(A,A))),meet(B,join(A,A)))) != join(meet(meet(A,meet(B,A)),meet(meet(B,A),A)),meet(B,A))
| join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),A)),meet(meet(meet(A,A),meet(B,join(A,A))),meet(B,join(A,A)))) = join(meet(meet(A,meet(B,A)),meet(meet(B,A),A)),meet(B,A)) ),
inference(resolve,[$cnf( $equal(join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),A)),meet(meet(meet(A,A),meet(B,join(A,A))),meet(B,join(A,A)))),join(meet(meet(A,meet(B,A)),meet(meet(B,A),A)),meet(meet(meet(A,A),meet(B,join(A,A))),meet(B,join(A,A))))) )],[refute_0_295,refute_0_296]) ).
cnf(refute_0_298,plain,
join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),A)),meet(meet(meet(A,A),meet(B,join(A,A))),meet(B,join(A,A)))) = join(meet(meet(A,meet(B,A)),meet(meet(B,A),A)),meet(B,A)),
inference(resolve,[$cnf( $equal(join(meet(meet(A,meet(B,A)),meet(meet(B,A),A)),meet(meet(meet(A,A),meet(B,join(A,A))),meet(B,join(A,A)))),join(meet(meet(A,meet(B,A)),meet(meet(B,A),A)),meet(B,A))) )],[refute_0_276,refute_0_297]) ).
cnf(refute_0_299,plain,
( join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),A)),meet(meet(meet(A,A),meet(B,join(A,A))),meet(B,join(A,A)))) != join(meet(meet(A,meet(B,A)),meet(meet(B,A),A)),meet(B,A))
| join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),A)),meet(meet(meet(A,A),meet(B,join(A,A))),meet(B,join(A,A)))) != meet(meet(A,A),meet(B,join(A,A)))
| join(meet(meet(A,meet(B,A)),meet(meet(B,A),A)),meet(B,A)) = meet(meet(A,A),meet(B,join(A,A))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),A)),meet(meet(meet(A,A),meet(B,join(A,A))),meet(B,join(A,A)))),meet(meet(A,A),meet(B,join(A,A)))) ),[0],$fot(join(meet(meet(A,meet(B,A)),meet(meet(B,A),A)),meet(B,A)))]]) ).
cnf(refute_0_300,plain,
( join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),A)),meet(meet(meet(A,A),meet(B,join(A,A))),meet(B,join(A,A)))) != meet(meet(A,A),meet(B,join(A,A)))
| join(meet(meet(A,meet(B,A)),meet(meet(B,A),A)),meet(B,A)) = meet(meet(A,A),meet(B,join(A,A))) ),
inference(resolve,[$cnf( $equal(join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),A)),meet(meet(meet(A,A),meet(B,join(A,A))),meet(B,join(A,A)))),join(meet(meet(A,meet(B,A)),meet(meet(B,A),A)),meet(B,A))) )],[refute_0_298,refute_0_299]) ).
cnf(refute_0_301,plain,
( join(meet(meet(A,meet(B,A)),meet(meet(B,A),A)),meet(B,A)) != meet(meet(A,A),meet(B,join(A,A)))
| meet(meet(A,A),meet(B,join(A,A))) != meet(A,meet(B,A))
| join(meet(meet(A,meet(B,A)),meet(meet(B,A),A)),meet(B,A)) = meet(A,meet(B,A)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(meet(meet(A,meet(B,A)),meet(meet(B,A),A)),meet(B,A)),meet(A,meet(B,A))) ),[0],$fot(meet(meet(A,A),meet(B,join(A,A))))]]) ).
cnf(refute_0_302,plain,
( join(meet(meet(A,meet(B,A)),meet(meet(B,A),A)),meet(B,A)) != meet(meet(A,A),meet(B,join(A,A)))
| join(meet(meet(A,meet(B,A)),meet(meet(B,A),A)),meet(B,A)) = meet(A,meet(B,A)) ),
inference(resolve,[$cnf( $equal(meet(meet(A,A),meet(B,join(A,A))),meet(A,meet(B,A))) )],[refute_0_262,refute_0_301]) ).
cnf(refute_0_303,plain,
( join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),A)),meet(meet(meet(A,A),meet(B,join(A,A))),meet(B,join(A,A)))) != meet(meet(A,A),meet(B,join(A,A)))
| join(meet(meet(A,meet(B,A)),meet(meet(B,A),A)),meet(B,A)) = meet(A,meet(B,A)) ),
inference(resolve,[$cnf( $equal(join(meet(meet(A,meet(B,A)),meet(meet(B,A),A)),meet(B,A)),meet(meet(A,A),meet(B,join(A,A)))) )],[refute_0_300,refute_0_302]) ).
cnf(refute_0_304,plain,
join(meet(meet(A,meet(B,A)),meet(meet(B,A),A)),meet(B,A)) = meet(A,meet(B,A)),
inference(resolve,[$cnf( $equal(join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),A)),meet(meet(meet(A,A),meet(B,join(A,A))),meet(B,join(A,A)))),meet(meet(A,A),meet(B,join(A,A)))) )],[refute_0_70,refute_0_303]) ).
cnf(refute_0_305,plain,
join(meet(meet(A,meet(B,A)),meet(meet(B,A),A)),meet(B,join(A,A))) = join(meet(meet(A,meet(B,A)),meet(meet(B,A),A)),meet(B,join(A,A))),
introduced(tautology,[refl,[$fot(join(meet(meet(A,meet(B,A)),meet(meet(B,A),A)),meet(B,join(A,A))))]]) ).
cnf(refute_0_306,plain,
( join(meet(meet(A,meet(B,A)),meet(meet(B,A),A)),meet(B,join(A,A))) != join(meet(meet(A,meet(B,A)),meet(meet(B,A),A)),meet(B,join(A,A)))
| meet(B,join(A,A)) != meet(B,A)
| join(meet(meet(A,meet(B,A)),meet(meet(B,A),A)),meet(B,join(A,A))) = join(meet(meet(A,meet(B,A)),meet(meet(B,A),A)),meet(B,A)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(A,meet(B,A)),meet(meet(B,A),A)),meet(B,join(A,A))),join(meet(meet(A,meet(B,A)),meet(meet(B,A),A)),meet(B,join(A,A)))) ),[1,1],$fot(meet(B,A))]]) ).
cnf(refute_0_307,plain,
( meet(B,join(A,A)) != meet(B,A)
| join(meet(meet(A,meet(B,A)),meet(meet(B,A),A)),meet(B,join(A,A))) = join(meet(meet(A,meet(B,A)),meet(meet(B,A),A)),meet(B,A)) ),
inference(resolve,[$cnf( $equal(join(meet(meet(A,meet(B,A)),meet(meet(B,A),A)),meet(B,join(A,A))),join(meet(meet(A,meet(B,A)),meet(meet(B,A),A)),meet(B,join(A,A)))) )],[refute_0_305,refute_0_306]) ).
cnf(refute_0_308,plain,
join(meet(meet(A,meet(B,A)),meet(meet(B,A),A)),meet(B,join(A,A))) = join(meet(meet(A,meet(B,A)),meet(meet(B,A),A)),meet(B,A)),
inference(resolve,[$cnf( $equal(meet(B,join(A,A)),meet(B,A)) )],[refute_0_157,refute_0_307]) ).
cnf(refute_0_309,plain,
join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),A)),meet(B,join(A,A))) = join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),A)),meet(B,join(A,A))),
introduced(tautology,[refl,[$fot(join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),A)),meet(B,join(A,A))))]]) ).
cnf(refute_0_310,plain,
( join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),A)),meet(B,join(A,A))) != join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),A)),meet(B,join(A,A)))
| meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),A)) != meet(meet(A,meet(B,A)),meet(meet(B,A),A))
| join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),A)),meet(B,join(A,A))) = join(meet(meet(A,meet(B,A)),meet(meet(B,A),A)),meet(B,join(A,A))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),A)),meet(B,join(A,A))),join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),A)),meet(B,join(A,A)))) ),[1,0],$fot(meet(meet(A,meet(B,A)),meet(meet(B,A),A)))]]) ).
cnf(refute_0_311,plain,
( meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),A)) != meet(meet(A,meet(B,A)),meet(meet(B,A),A))
| join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),A)),meet(B,join(A,A))) = join(meet(meet(A,meet(B,A)),meet(meet(B,A),A)),meet(B,join(A,A))) ),
inference(resolve,[$cnf( $equal(join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),A)),meet(B,join(A,A))),join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),A)),meet(B,join(A,A)))) )],[refute_0_309,refute_0_310]) ).
cnf(refute_0_312,plain,
join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),A)),meet(B,join(A,A))) = join(meet(meet(A,meet(B,A)),meet(meet(B,A),A)),meet(B,join(A,A))),
inference(resolve,[$cnf( $equal(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),A)),meet(meet(A,meet(B,A)),meet(meet(B,A),A))) )],[refute_0_291,refute_0_311]) ).
cnf(refute_0_313,plain,
( join(meet(meet(A,meet(B,A)),meet(meet(B,A),A)),meet(B,join(A,A))) != join(meet(meet(A,meet(B,A)),meet(meet(B,A),A)),meet(B,A))
| join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),A)),meet(B,join(A,A))) != join(meet(meet(A,meet(B,A)),meet(meet(B,A),A)),meet(B,join(A,A)))
| join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),A)),meet(B,join(A,A))) = join(meet(meet(A,meet(B,A)),meet(meet(B,A),A)),meet(B,A)) ),
inference(subst,[],[refute_0_126:[bind(X,$fot(join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),A)),meet(B,join(A,A))))),bind(Y,$fot(join(meet(meet(A,meet(B,A)),meet(meet(B,A),A)),meet(B,join(A,A))))),bind(Z,$fot(join(meet(meet(A,meet(B,A)),meet(meet(B,A),A)),meet(B,A))))]]) ).
cnf(refute_0_314,plain,
( join(meet(meet(A,meet(B,A)),meet(meet(B,A),A)),meet(B,join(A,A))) != join(meet(meet(A,meet(B,A)),meet(meet(B,A),A)),meet(B,A))
| join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),A)),meet(B,join(A,A))) = join(meet(meet(A,meet(B,A)),meet(meet(B,A),A)),meet(B,A)) ),
inference(resolve,[$cnf( $equal(join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),A)),meet(B,join(A,A))),join(meet(meet(A,meet(B,A)),meet(meet(B,A),A)),meet(B,join(A,A)))) )],[refute_0_312,refute_0_313]) ).
cnf(refute_0_315,plain,
join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),A)),meet(B,join(A,A))) = join(meet(meet(A,meet(B,A)),meet(meet(B,A),A)),meet(B,A)),
inference(resolve,[$cnf( $equal(join(meet(meet(A,meet(B,A)),meet(meet(B,A),A)),meet(B,join(A,A))),join(meet(meet(A,meet(B,A)),meet(meet(B,A),A)),meet(B,A))) )],[refute_0_308,refute_0_314]) ).
cnf(refute_0_316,plain,
( join(meet(meet(A,meet(B,A)),meet(meet(B,A),A)),meet(B,A)) != meet(A,meet(B,A))
| join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),A)),meet(B,join(A,A))) != join(meet(meet(A,meet(B,A)),meet(meet(B,A),A)),meet(B,A))
| join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),A)),meet(B,join(A,A))) = meet(A,meet(B,A)) ),
inference(subst,[],[refute_0_126:[bind(X,$fot(join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),A)),meet(B,join(A,A))))),bind(Y,$fot(join(meet(meet(A,meet(B,A)),meet(meet(B,A),A)),meet(B,A)))),bind(Z,$fot(meet(A,meet(B,A))))]]) ).
cnf(refute_0_317,plain,
( join(meet(meet(A,meet(B,A)),meet(meet(B,A),A)),meet(B,A)) != meet(A,meet(B,A))
| join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),A)),meet(B,join(A,A))) = meet(A,meet(B,A)) ),
inference(resolve,[$cnf( $equal(join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),A)),meet(B,join(A,A))),join(meet(meet(A,meet(B,A)),meet(meet(B,A),A)),meet(B,A))) )],[refute_0_315,refute_0_316]) ).
cnf(refute_0_318,plain,
join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),A)),meet(B,join(A,A))) = meet(A,meet(B,A)),
inference(resolve,[$cnf( $equal(join(meet(meet(A,meet(B,A)),meet(meet(B,A),A)),meet(B,A)),meet(A,meet(B,A))) )],[refute_0_304,refute_0_317]) ).
cnf(refute_0_319,plain,
( join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),A)),meet(B,join(A,A))) != meet(A,meet(B,A))
| join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),A)),meet(B,join(A,A))) != meet(meet(B,join(A,A)),A)
| meet(A,meet(B,A)) = meet(meet(B,join(A,A)),A) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),A)),meet(B,join(A,A))),meet(meet(B,join(A,A)),A)) ),[0],$fot(meet(A,meet(B,A)))]]) ).
cnf(refute_0_320,plain,
( join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),A)),meet(B,join(A,A))) != meet(meet(B,join(A,A)),A)
| meet(A,meet(B,A)) = meet(meet(B,join(A,A)),A) ),
inference(resolve,[$cnf( $equal(join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),A)),meet(B,join(A,A))),meet(A,meet(B,A))) )],[refute_0_318,refute_0_319]) ).
cnf(refute_0_321,plain,
( meet(A,meet(B,A)) != meet(meet(B,join(A,A)),A)
| meet(meet(B,join(A,A)),A) != meet(meet(B,A),A)
| meet(A,meet(B,A)) = meet(meet(B,A),A) ),
introduced(tautology,[equality,[$cnf( ~ $equal(meet(A,meet(B,A)),meet(meet(B,A),A)) ),[0],$fot(meet(meet(B,join(A,A)),A))]]) ).
cnf(refute_0_322,plain,
( meet(A,meet(B,A)) != meet(meet(B,join(A,A)),A)
| meet(A,meet(B,A)) = meet(meet(B,A),A) ),
inference(resolve,[$cnf( $equal(meet(meet(B,join(A,A)),A),meet(meet(B,A),A)) )],[refute_0_280,refute_0_321]) ).
cnf(refute_0_323,plain,
( join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),A)),meet(B,join(A,A))) != meet(meet(B,join(A,A)),A)
| meet(A,meet(B,A)) = meet(meet(B,A),A) ),
inference(resolve,[$cnf( $equal(meet(A,meet(B,A)),meet(meet(B,join(A,A)),A)) )],[refute_0_320,refute_0_322]) ).
cnf(refute_0_324,plain,
meet(A,meet(B,A)) = meet(meet(B,A),A),
inference(resolve,[$cnf( $equal(join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),A)),meet(B,join(A,A))),meet(meet(B,join(A,A)),A)) )],[refute_0_62,refute_0_323]) ).
cnf(refute_0_325,plain,
join(meet(meet(X_6,X_6),meet(X_7,join(X_6,X_6))),meet(meet(X_7,join(X_6,X_6)),join(meet(X_6,X_6),meet(X_7,join(X_6,X_6))))) = meet(X_7,join(X_6,X_6)),
inference(subst,[],[wal_absorbtion_3:[bind(A,$fot(meet(X_6,X_6))),bind(B,$fot(meet(X_7,join(X_6,X_6))))]]) ).
cnf(refute_0_326,plain,
join(meet(X_6,X_6),meet(X_7,join(X_6,X_6))) = X_6,
inference(subst,[],[wal_absorbtion_2:[bind(A,$fot(X_6)),bind(B,$fot(X_7))]]) ).
cnf(refute_0_327,plain,
( join(meet(X_6,X_6),meet(X_7,join(X_6,X_6))) != X_6
| join(meet(meet(X_6,X_6),meet(X_7,join(X_6,X_6))),meet(meet(X_7,join(X_6,X_6)),join(meet(X_6,X_6),meet(X_7,join(X_6,X_6))))) != meet(X_7,join(X_6,X_6))
| join(meet(meet(X_6,X_6),meet(X_7,join(X_6,X_6))),meet(meet(X_7,join(X_6,X_6)),X_6)) = meet(X_7,join(X_6,X_6)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(X_6,X_6),meet(X_7,join(X_6,X_6))),meet(meet(X_7,join(X_6,X_6)),join(meet(X_6,X_6),meet(X_7,join(X_6,X_6))))),meet(X_7,join(X_6,X_6))) ),[0,1,1],$fot(X_6)]]) ).
cnf(refute_0_328,plain,
( join(meet(meet(X_6,X_6),meet(X_7,join(X_6,X_6))),meet(meet(X_7,join(X_6,X_6)),join(meet(X_6,X_6),meet(X_7,join(X_6,X_6))))) != meet(X_7,join(X_6,X_6))
| join(meet(meet(X_6,X_6),meet(X_7,join(X_6,X_6))),meet(meet(X_7,join(X_6,X_6)),X_6)) = meet(X_7,join(X_6,X_6)) ),
inference(resolve,[$cnf( $equal(join(meet(X_6,X_6),meet(X_7,join(X_6,X_6))),X_6) )],[refute_0_326,refute_0_327]) ).
cnf(refute_0_329,plain,
join(meet(meet(X_6,X_6),meet(X_7,join(X_6,X_6))),meet(meet(X_7,join(X_6,X_6)),X_6)) = meet(X_7,join(X_6,X_6)),
inference(resolve,[$cnf( $equal(join(meet(meet(X_6,X_6),meet(X_7,join(X_6,X_6))),meet(meet(X_7,join(X_6,X_6)),join(meet(X_6,X_6),meet(X_7,join(X_6,X_6))))),meet(X_7,join(X_6,X_6))) )],[refute_0_325,refute_0_328]) ).
cnf(refute_0_330,plain,
join(X_6,X_6) = X_6,
inference(subst,[],[refute_0_152:[bind(B,$fot(X_6))]]) ).
cnf(refute_0_331,plain,
meet(X_7,join(X_6,X_6)) = meet(X_7,join(X_6,X_6)),
introduced(tautology,[refl,[$fot(meet(X_7,join(X_6,X_6)))]]) ).
cnf(refute_0_332,plain,
( join(X_6,X_6) != X_6
| meet(X_7,join(X_6,X_6)) != meet(X_7,join(X_6,X_6))
| meet(X_7,join(X_6,X_6)) = meet(X_7,X_6) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_7,join(X_6,X_6)),meet(X_7,join(X_6,X_6))) ),[1,1],$fot(X_6)]]) ).
cnf(refute_0_333,plain,
( join(X_6,X_6) != X_6
| meet(X_7,join(X_6,X_6)) = meet(X_7,X_6) ),
inference(resolve,[$cnf( $equal(meet(X_7,join(X_6,X_6)),meet(X_7,join(X_6,X_6))) )],[refute_0_331,refute_0_332]) ).
cnf(refute_0_334,plain,
meet(X_7,join(X_6,X_6)) = meet(X_7,X_6),
inference(resolve,[$cnf( $equal(join(X_6,X_6),X_6) )],[refute_0_330,refute_0_333]) ).
cnf(refute_0_335,plain,
meet(meet(X_7,join(X_6,X_6)),X_6) = meet(meet(X_7,join(X_6,X_6)),X_6),
introduced(tautology,[refl,[$fot(meet(meet(X_7,join(X_6,X_6)),X_6))]]) ).
cnf(refute_0_336,plain,
( meet(X_7,join(X_6,X_6)) != meet(X_7,X_6)
| meet(meet(X_7,join(X_6,X_6)),X_6) != meet(meet(X_7,join(X_6,X_6)),X_6)
| meet(meet(X_7,join(X_6,X_6)),X_6) = meet(meet(X_7,X_6),X_6) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_7,join(X_6,X_6)),X_6),meet(meet(X_7,join(X_6,X_6)),X_6)) ),[1,0],$fot(meet(X_7,X_6))]]) ).
cnf(refute_0_337,plain,
( meet(X_7,join(X_6,X_6)) != meet(X_7,X_6)
| meet(meet(X_7,join(X_6,X_6)),X_6) = meet(meet(X_7,X_6),X_6) ),
inference(resolve,[$cnf( $equal(meet(meet(X_7,join(X_6,X_6)),X_6),meet(meet(X_7,join(X_6,X_6)),X_6)) )],[refute_0_335,refute_0_336]) ).
cnf(refute_0_338,plain,
meet(meet(X_7,join(X_6,X_6)),X_6) = meet(meet(X_7,X_6),X_6),
inference(resolve,[$cnf( $equal(meet(X_7,join(X_6,X_6)),meet(X_7,X_6)) )],[refute_0_334,refute_0_337]) ).
cnf(refute_0_339,plain,
join(meet(meet(X_6,X_6),meet(X_7,X_6)),meet(meet(X_7,join(X_6,X_6)),X_6)) = join(meet(meet(X_6,X_6),meet(X_7,X_6)),meet(meet(X_7,join(X_6,X_6)),X_6)),
introduced(tautology,[refl,[$fot(join(meet(meet(X_6,X_6),meet(X_7,X_6)),meet(meet(X_7,join(X_6,X_6)),X_6)))]]) ).
cnf(refute_0_340,plain,
( join(meet(meet(X_6,X_6),meet(X_7,X_6)),meet(meet(X_7,join(X_6,X_6)),X_6)) != join(meet(meet(X_6,X_6),meet(X_7,X_6)),meet(meet(X_7,join(X_6,X_6)),X_6))
| meet(meet(X_7,join(X_6,X_6)),X_6) != meet(meet(X_7,X_6),X_6)
| join(meet(meet(X_6,X_6),meet(X_7,X_6)),meet(meet(X_7,join(X_6,X_6)),X_6)) = join(meet(meet(X_6,X_6),meet(X_7,X_6)),meet(meet(X_7,X_6),X_6)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(X_6,X_6),meet(X_7,X_6)),meet(meet(X_7,join(X_6,X_6)),X_6)),join(meet(meet(X_6,X_6),meet(X_7,X_6)),meet(meet(X_7,join(X_6,X_6)),X_6))) ),[1,1],$fot(meet(meet(X_7,X_6),X_6))]]) ).
cnf(refute_0_341,plain,
( meet(meet(X_7,join(X_6,X_6)),X_6) != meet(meet(X_7,X_6),X_6)
| join(meet(meet(X_6,X_6),meet(X_7,X_6)),meet(meet(X_7,join(X_6,X_6)),X_6)) = join(meet(meet(X_6,X_6),meet(X_7,X_6)),meet(meet(X_7,X_6),X_6)) ),
inference(resolve,[$cnf( $equal(join(meet(meet(X_6,X_6),meet(X_7,X_6)),meet(meet(X_7,join(X_6,X_6)),X_6)),join(meet(meet(X_6,X_6),meet(X_7,X_6)),meet(meet(X_7,join(X_6,X_6)),X_6))) )],[refute_0_339,refute_0_340]) ).
cnf(refute_0_342,plain,
join(meet(meet(X_6,X_6),meet(X_7,X_6)),meet(meet(X_7,join(X_6,X_6)),X_6)) = join(meet(meet(X_6,X_6),meet(X_7,X_6)),meet(meet(X_7,X_6),X_6)),
inference(resolve,[$cnf( $equal(meet(meet(X_7,join(X_6,X_6)),X_6),meet(meet(X_7,X_6),X_6)) )],[refute_0_338,refute_0_341]) ).
cnf(refute_0_343,plain,
meet(meet(X_6,X_6),meet(X_7,join(X_6,X_6))) = meet(meet(X_6,X_6),meet(X_7,join(X_6,X_6))),
introduced(tautology,[refl,[$fot(meet(meet(X_6,X_6),meet(X_7,join(X_6,X_6))))]]) ).
cnf(refute_0_344,plain,
( meet(X_7,join(X_6,X_6)) != meet(X_7,X_6)
| meet(meet(X_6,X_6),meet(X_7,join(X_6,X_6))) != meet(meet(X_6,X_6),meet(X_7,join(X_6,X_6)))
| meet(meet(X_6,X_6),meet(X_7,join(X_6,X_6))) = meet(meet(X_6,X_6),meet(X_7,X_6)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_6,X_6),meet(X_7,join(X_6,X_6))),meet(meet(X_6,X_6),meet(X_7,join(X_6,X_6)))) ),[1,1],$fot(meet(X_7,X_6))]]) ).
cnf(refute_0_345,plain,
( meet(X_7,join(X_6,X_6)) != meet(X_7,X_6)
| meet(meet(X_6,X_6),meet(X_7,join(X_6,X_6))) = meet(meet(X_6,X_6),meet(X_7,X_6)) ),
inference(resolve,[$cnf( $equal(meet(meet(X_6,X_6),meet(X_7,join(X_6,X_6))),meet(meet(X_6,X_6),meet(X_7,join(X_6,X_6)))) )],[refute_0_343,refute_0_344]) ).
cnf(refute_0_346,plain,
meet(meet(X_6,X_6),meet(X_7,join(X_6,X_6))) = meet(meet(X_6,X_6),meet(X_7,X_6)),
inference(resolve,[$cnf( $equal(meet(X_7,join(X_6,X_6)),meet(X_7,X_6)) )],[refute_0_334,refute_0_345]) ).
cnf(refute_0_347,plain,
join(meet(meet(X_6,X_6),meet(X_7,join(X_6,X_6))),meet(meet(X_7,join(X_6,X_6)),X_6)) = join(meet(meet(X_6,X_6),meet(X_7,join(X_6,X_6))),meet(meet(X_7,join(X_6,X_6)),X_6)),
introduced(tautology,[refl,[$fot(join(meet(meet(X_6,X_6),meet(X_7,join(X_6,X_6))),meet(meet(X_7,join(X_6,X_6)),X_6)))]]) ).
cnf(refute_0_348,plain,
( join(meet(meet(X_6,X_6),meet(X_7,join(X_6,X_6))),meet(meet(X_7,join(X_6,X_6)),X_6)) != join(meet(meet(X_6,X_6),meet(X_7,join(X_6,X_6))),meet(meet(X_7,join(X_6,X_6)),X_6))
| meet(meet(X_6,X_6),meet(X_7,join(X_6,X_6))) != meet(meet(X_6,X_6),meet(X_7,X_6))
| join(meet(meet(X_6,X_6),meet(X_7,join(X_6,X_6))),meet(meet(X_7,join(X_6,X_6)),X_6)) = join(meet(meet(X_6,X_6),meet(X_7,X_6)),meet(meet(X_7,join(X_6,X_6)),X_6)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(X_6,X_6),meet(X_7,join(X_6,X_6))),meet(meet(X_7,join(X_6,X_6)),X_6)),join(meet(meet(X_6,X_6),meet(X_7,join(X_6,X_6))),meet(meet(X_7,join(X_6,X_6)),X_6))) ),[1,0],$fot(meet(meet(X_6,X_6),meet(X_7,X_6)))]]) ).
cnf(refute_0_349,plain,
( meet(meet(X_6,X_6),meet(X_7,join(X_6,X_6))) != meet(meet(X_6,X_6),meet(X_7,X_6))
| join(meet(meet(X_6,X_6),meet(X_7,join(X_6,X_6))),meet(meet(X_7,join(X_6,X_6)),X_6)) = join(meet(meet(X_6,X_6),meet(X_7,X_6)),meet(meet(X_7,join(X_6,X_6)),X_6)) ),
inference(resolve,[$cnf( $equal(join(meet(meet(X_6,X_6),meet(X_7,join(X_6,X_6))),meet(meet(X_7,join(X_6,X_6)),X_6)),join(meet(meet(X_6,X_6),meet(X_7,join(X_6,X_6))),meet(meet(X_7,join(X_6,X_6)),X_6))) )],[refute_0_347,refute_0_348]) ).
cnf(refute_0_350,plain,
join(meet(meet(X_6,X_6),meet(X_7,join(X_6,X_6))),meet(meet(X_7,join(X_6,X_6)),X_6)) = join(meet(meet(X_6,X_6),meet(X_7,X_6)),meet(meet(X_7,join(X_6,X_6)),X_6)),
inference(resolve,[$cnf( $equal(meet(meet(X_6,X_6),meet(X_7,join(X_6,X_6))),meet(meet(X_6,X_6),meet(X_7,X_6))) )],[refute_0_346,refute_0_349]) ).
cnf(refute_0_351,plain,
( join(meet(meet(X_6,X_6),meet(X_7,X_6)),meet(meet(X_7,join(X_6,X_6)),X_6)) != join(meet(meet(X_6,X_6),meet(X_7,X_6)),meet(meet(X_7,X_6),X_6))
| join(meet(meet(X_6,X_6),meet(X_7,join(X_6,X_6))),meet(meet(X_7,join(X_6,X_6)),X_6)) != join(meet(meet(X_6,X_6),meet(X_7,X_6)),meet(meet(X_7,join(X_6,X_6)),X_6))
| join(meet(meet(X_6,X_6),meet(X_7,join(X_6,X_6))),meet(meet(X_7,join(X_6,X_6)),X_6)) = join(meet(meet(X_6,X_6),meet(X_7,X_6)),meet(meet(X_7,X_6),X_6)) ),
inference(subst,[],[refute_0_126:[bind(X,$fot(join(meet(meet(X_6,X_6),meet(X_7,join(X_6,X_6))),meet(meet(X_7,join(X_6,X_6)),X_6)))),bind(Y,$fot(join(meet(meet(X_6,X_6),meet(X_7,X_6)),meet(meet(X_7,join(X_6,X_6)),X_6)))),bind(Z,$fot(join(meet(meet(X_6,X_6),meet(X_7,X_6)),meet(meet(X_7,X_6),X_6))))]]) ).
cnf(refute_0_352,plain,
( join(meet(meet(X_6,X_6),meet(X_7,X_6)),meet(meet(X_7,join(X_6,X_6)),X_6)) != join(meet(meet(X_6,X_6),meet(X_7,X_6)),meet(meet(X_7,X_6),X_6))
| join(meet(meet(X_6,X_6),meet(X_7,join(X_6,X_6))),meet(meet(X_7,join(X_6,X_6)),X_6)) = join(meet(meet(X_6,X_6),meet(X_7,X_6)),meet(meet(X_7,X_6),X_6)) ),
inference(resolve,[$cnf( $equal(join(meet(meet(X_6,X_6),meet(X_7,join(X_6,X_6))),meet(meet(X_7,join(X_6,X_6)),X_6)),join(meet(meet(X_6,X_6),meet(X_7,X_6)),meet(meet(X_7,join(X_6,X_6)),X_6))) )],[refute_0_350,refute_0_351]) ).
cnf(refute_0_353,plain,
join(meet(meet(X_6,X_6),meet(X_7,join(X_6,X_6))),meet(meet(X_7,join(X_6,X_6)),X_6)) = join(meet(meet(X_6,X_6),meet(X_7,X_6)),meet(meet(X_7,X_6),X_6)),
inference(resolve,[$cnf( $equal(join(meet(meet(X_6,X_6),meet(X_7,X_6)),meet(meet(X_7,join(X_6,X_6)),X_6)),join(meet(meet(X_6,X_6),meet(X_7,X_6)),meet(meet(X_7,X_6),X_6))) )],[refute_0_342,refute_0_352]) ).
cnf(refute_0_354,plain,
( join(meet(meet(X_6,X_6),meet(X_7,join(X_6,X_6))),meet(meet(X_7,join(X_6,X_6)),X_6)) != join(meet(meet(X_6,X_6),meet(X_7,X_6)),meet(meet(X_7,X_6),X_6))
| join(meet(meet(X_6,X_6),meet(X_7,join(X_6,X_6))),meet(meet(X_7,join(X_6,X_6)),X_6)) != meet(X_7,join(X_6,X_6))
| join(meet(meet(X_6,X_6),meet(X_7,X_6)),meet(meet(X_7,X_6),X_6)) = meet(X_7,join(X_6,X_6)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(X_6,X_6),meet(X_7,join(X_6,X_6))),meet(meet(X_7,join(X_6,X_6)),X_6)),meet(X_7,join(X_6,X_6))) ),[0],$fot(join(meet(meet(X_6,X_6),meet(X_7,X_6)),meet(meet(X_7,X_6),X_6)))]]) ).
cnf(refute_0_355,plain,
( join(meet(meet(X_6,X_6),meet(X_7,join(X_6,X_6))),meet(meet(X_7,join(X_6,X_6)),X_6)) != meet(X_7,join(X_6,X_6))
| join(meet(meet(X_6,X_6),meet(X_7,X_6)),meet(meet(X_7,X_6),X_6)) = meet(X_7,join(X_6,X_6)) ),
inference(resolve,[$cnf( $equal(join(meet(meet(X_6,X_6),meet(X_7,join(X_6,X_6))),meet(meet(X_7,join(X_6,X_6)),X_6)),join(meet(meet(X_6,X_6),meet(X_7,X_6)),meet(meet(X_7,X_6),X_6))) )],[refute_0_353,refute_0_354]) ).
cnf(refute_0_356,plain,
( join(meet(meet(X_6,X_6),meet(X_7,X_6)),meet(meet(X_7,X_6),X_6)) != meet(X_7,join(X_6,X_6))
| meet(X_7,join(X_6,X_6)) != meet(X_7,X_6)
| join(meet(meet(X_6,X_6),meet(X_7,X_6)),meet(meet(X_7,X_6),X_6)) = meet(X_7,X_6) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(meet(meet(X_6,X_6),meet(X_7,X_6)),meet(meet(X_7,X_6),X_6)),meet(X_7,X_6)) ),[0],$fot(meet(X_7,join(X_6,X_6)))]]) ).
cnf(refute_0_357,plain,
( join(meet(meet(X_6,X_6),meet(X_7,X_6)),meet(meet(X_7,X_6),X_6)) != meet(X_7,join(X_6,X_6))
| join(meet(meet(X_6,X_6),meet(X_7,X_6)),meet(meet(X_7,X_6),X_6)) = meet(X_7,X_6) ),
inference(resolve,[$cnf( $equal(meet(X_7,join(X_6,X_6)),meet(X_7,X_6)) )],[refute_0_334,refute_0_356]) ).
cnf(refute_0_358,plain,
( join(meet(meet(X_6,X_6),meet(X_7,join(X_6,X_6))),meet(meet(X_7,join(X_6,X_6)),X_6)) != meet(X_7,join(X_6,X_6))
| join(meet(meet(X_6,X_6),meet(X_7,X_6)),meet(meet(X_7,X_6),X_6)) = meet(X_7,X_6) ),
inference(resolve,[$cnf( $equal(join(meet(meet(X_6,X_6),meet(X_7,X_6)),meet(meet(X_7,X_6),X_6)),meet(X_7,join(X_6,X_6))) )],[refute_0_355,refute_0_357]) ).
cnf(refute_0_359,plain,
join(meet(meet(X_6,X_6),meet(X_7,X_6)),meet(meet(X_7,X_6),X_6)) = meet(X_7,X_6),
inference(resolve,[$cnf( $equal(join(meet(meet(X_6,X_6),meet(X_7,join(X_6,X_6))),meet(meet(X_7,join(X_6,X_6)),X_6)),meet(X_7,join(X_6,X_6))) )],[refute_0_329,refute_0_358]) ).
cnf(refute_0_360,plain,
meet(X_6,X_6) = X_6,
inference(subst,[],[refute_0_254:[bind(X_11,$fot(X_6))]]) ).
cnf(refute_0_361,plain,
meet(meet(X_6,X_6),meet(X_7,X_6)) = meet(meet(X_6,X_6),meet(X_7,X_6)),
introduced(tautology,[refl,[$fot(meet(meet(X_6,X_6),meet(X_7,X_6)))]]) ).
cnf(refute_0_362,plain,
( meet(X_6,X_6) != X_6
| meet(meet(X_6,X_6),meet(X_7,X_6)) != meet(meet(X_6,X_6),meet(X_7,X_6))
| meet(meet(X_6,X_6),meet(X_7,X_6)) = meet(X_6,meet(X_7,X_6)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_6,X_6),meet(X_7,X_6)),meet(meet(X_6,X_6),meet(X_7,X_6))) ),[1,0],$fot(X_6)]]) ).
cnf(refute_0_363,plain,
( meet(X_6,X_6) != X_6
| meet(meet(X_6,X_6),meet(X_7,X_6)) = meet(X_6,meet(X_7,X_6)) ),
inference(resolve,[$cnf( $equal(meet(meet(X_6,X_6),meet(X_7,X_6)),meet(meet(X_6,X_6),meet(X_7,X_6))) )],[refute_0_361,refute_0_362]) ).
cnf(refute_0_364,plain,
meet(meet(X_6,X_6),meet(X_7,X_6)) = meet(X_6,meet(X_7,X_6)),
inference(resolve,[$cnf( $equal(meet(X_6,X_6),X_6) )],[refute_0_360,refute_0_363]) ).
cnf(refute_0_365,plain,
join(meet(meet(X_6,X_6),meet(X_7,X_6)),meet(meet(X_7,X_6),X_6)) = join(meet(meet(X_6,X_6),meet(X_7,X_6)),meet(meet(X_7,X_6),X_6)),
introduced(tautology,[refl,[$fot(join(meet(meet(X_6,X_6),meet(X_7,X_6)),meet(meet(X_7,X_6),X_6)))]]) ).
cnf(refute_0_366,plain,
( join(meet(meet(X_6,X_6),meet(X_7,X_6)),meet(meet(X_7,X_6),X_6)) != join(meet(meet(X_6,X_6),meet(X_7,X_6)),meet(meet(X_7,X_6),X_6))
| meet(meet(X_6,X_6),meet(X_7,X_6)) != meet(X_6,meet(X_7,X_6))
| join(meet(meet(X_6,X_6),meet(X_7,X_6)),meet(meet(X_7,X_6),X_6)) = join(meet(X_6,meet(X_7,X_6)),meet(meet(X_7,X_6),X_6)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(X_6,X_6),meet(X_7,X_6)),meet(meet(X_7,X_6),X_6)),join(meet(meet(X_6,X_6),meet(X_7,X_6)),meet(meet(X_7,X_6),X_6))) ),[1,0],$fot(meet(X_6,meet(X_7,X_6)))]]) ).
cnf(refute_0_367,plain,
( meet(meet(X_6,X_6),meet(X_7,X_6)) != meet(X_6,meet(X_7,X_6))
| join(meet(meet(X_6,X_6),meet(X_7,X_6)),meet(meet(X_7,X_6),X_6)) = join(meet(X_6,meet(X_7,X_6)),meet(meet(X_7,X_6),X_6)) ),
inference(resolve,[$cnf( $equal(join(meet(meet(X_6,X_6),meet(X_7,X_6)),meet(meet(X_7,X_6),X_6)),join(meet(meet(X_6,X_6),meet(X_7,X_6)),meet(meet(X_7,X_6),X_6))) )],[refute_0_365,refute_0_366]) ).
cnf(refute_0_368,plain,
join(meet(meet(X_6,X_6),meet(X_7,X_6)),meet(meet(X_7,X_6),X_6)) = join(meet(X_6,meet(X_7,X_6)),meet(meet(X_7,X_6),X_6)),
inference(resolve,[$cnf( $equal(meet(meet(X_6,X_6),meet(X_7,X_6)),meet(X_6,meet(X_7,X_6))) )],[refute_0_364,refute_0_367]) ).
cnf(refute_0_369,plain,
( join(meet(meet(X_6,X_6),meet(X_7,X_6)),meet(meet(X_7,X_6),X_6)) != join(meet(X_6,meet(X_7,X_6)),meet(meet(X_7,X_6),X_6))
| join(meet(meet(X_6,X_6),meet(X_7,X_6)),meet(meet(X_7,X_6),X_6)) != meet(X_7,X_6)
| join(meet(X_6,meet(X_7,X_6)),meet(meet(X_7,X_6),X_6)) = meet(X_7,X_6) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(X_6,X_6),meet(X_7,X_6)),meet(meet(X_7,X_6),X_6)),meet(X_7,X_6)) ),[0],$fot(join(meet(X_6,meet(X_7,X_6)),meet(meet(X_7,X_6),X_6)))]]) ).
cnf(refute_0_370,plain,
( join(meet(meet(X_6,X_6),meet(X_7,X_6)),meet(meet(X_7,X_6),X_6)) != meet(X_7,X_6)
| join(meet(X_6,meet(X_7,X_6)),meet(meet(X_7,X_6),X_6)) = meet(X_7,X_6) ),
inference(resolve,[$cnf( $equal(join(meet(meet(X_6,X_6),meet(X_7,X_6)),meet(meet(X_7,X_6),X_6)),join(meet(X_6,meet(X_7,X_6)),meet(meet(X_7,X_6),X_6))) )],[refute_0_368,refute_0_369]) ).
cnf(refute_0_371,plain,
join(meet(X_6,meet(X_7,X_6)),meet(meet(X_7,X_6),X_6)) = meet(X_7,X_6),
inference(resolve,[$cnf( $equal(join(meet(meet(X_6,X_6),meet(X_7,X_6)),meet(meet(X_7,X_6),X_6)),meet(X_7,X_6)) )],[refute_0_359,refute_0_370]) ).
cnf(refute_0_372,plain,
join(meet(X_6,meet(X_7,X_6)),meet(X_6,meet(X_7,X_6))) = meet(X_6,meet(X_7,X_6)),
inference(subst,[],[refute_0_152:[bind(B,$fot(meet(X_6,meet(X_7,X_6))))]]) ).
cnf(refute_0_373,plain,
( meet(A,meet(B,A)) != meet(meet(B,A),A)
| meet(meet(B,A),A) = meet(A,meet(B,A)) ),
inference(subst,[],[refute_0_124:[bind(X,$fot(meet(A,meet(B,A)))),bind(Y,$fot(meet(meet(B,A),A)))]]) ).
cnf(refute_0_374,plain,
meet(meet(B,A),A) = meet(A,meet(B,A)),
inference(resolve,[$cnf( $equal(meet(A,meet(B,A)),meet(meet(B,A),A)) )],[refute_0_324,refute_0_373]) ).
cnf(refute_0_375,plain,
meet(meet(X_7,X_6),X_6) = meet(X_6,meet(X_7,X_6)),
inference(subst,[],[refute_0_374:[bind(A,$fot(X_6)),bind(B,$fot(X_7))]]) ).
cnf(refute_0_376,plain,
join(meet(X_6,meet(X_7,X_6)),meet(meet(X_7,X_6),X_6)) = join(meet(X_6,meet(X_7,X_6)),meet(meet(X_7,X_6),X_6)),
introduced(tautology,[refl,[$fot(join(meet(X_6,meet(X_7,X_6)),meet(meet(X_7,X_6),X_6)))]]) ).
cnf(refute_0_377,plain,
( join(meet(X_6,meet(X_7,X_6)),meet(meet(X_7,X_6),X_6)) != join(meet(X_6,meet(X_7,X_6)),meet(meet(X_7,X_6),X_6))
| meet(meet(X_7,X_6),X_6) != meet(X_6,meet(X_7,X_6))
| join(meet(X_6,meet(X_7,X_6)),meet(meet(X_7,X_6),X_6)) = join(meet(X_6,meet(X_7,X_6)),meet(X_6,meet(X_7,X_6))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_6,meet(X_7,X_6)),meet(meet(X_7,X_6),X_6)),join(meet(X_6,meet(X_7,X_6)),meet(meet(X_7,X_6),X_6))) ),[1,1],$fot(meet(X_6,meet(X_7,X_6)))]]) ).
cnf(refute_0_378,plain,
( meet(meet(X_7,X_6),X_6) != meet(X_6,meet(X_7,X_6))
| join(meet(X_6,meet(X_7,X_6)),meet(meet(X_7,X_6),X_6)) = join(meet(X_6,meet(X_7,X_6)),meet(X_6,meet(X_7,X_6))) ),
inference(resolve,[$cnf( $equal(join(meet(X_6,meet(X_7,X_6)),meet(meet(X_7,X_6),X_6)),join(meet(X_6,meet(X_7,X_6)),meet(meet(X_7,X_6),X_6))) )],[refute_0_376,refute_0_377]) ).
cnf(refute_0_379,plain,
join(meet(X_6,meet(X_7,X_6)),meet(meet(X_7,X_6),X_6)) = join(meet(X_6,meet(X_7,X_6)),meet(X_6,meet(X_7,X_6))),
inference(resolve,[$cnf( $equal(meet(meet(X_7,X_6),X_6),meet(X_6,meet(X_7,X_6))) )],[refute_0_375,refute_0_378]) ).
cnf(refute_0_380,plain,
( join(meet(X_6,meet(X_7,X_6)),meet(X_6,meet(X_7,X_6))) != meet(X_6,meet(X_7,X_6))
| join(meet(X_6,meet(X_7,X_6)),meet(meet(X_7,X_6),X_6)) != join(meet(X_6,meet(X_7,X_6)),meet(X_6,meet(X_7,X_6)))
| join(meet(X_6,meet(X_7,X_6)),meet(meet(X_7,X_6),X_6)) = meet(X_6,meet(X_7,X_6)) ),
inference(subst,[],[refute_0_126:[bind(X,$fot(join(meet(X_6,meet(X_7,X_6)),meet(meet(X_7,X_6),X_6)))),bind(Y,$fot(join(meet(X_6,meet(X_7,X_6)),meet(X_6,meet(X_7,X_6))))),bind(Z,$fot(meet(X_6,meet(X_7,X_6))))]]) ).
cnf(refute_0_381,plain,
( join(meet(X_6,meet(X_7,X_6)),meet(X_6,meet(X_7,X_6))) != meet(X_6,meet(X_7,X_6))
| join(meet(X_6,meet(X_7,X_6)),meet(meet(X_7,X_6),X_6)) = meet(X_6,meet(X_7,X_6)) ),
inference(resolve,[$cnf( $equal(join(meet(X_6,meet(X_7,X_6)),meet(meet(X_7,X_6),X_6)),join(meet(X_6,meet(X_7,X_6)),meet(X_6,meet(X_7,X_6)))) )],[refute_0_379,refute_0_380]) ).
cnf(refute_0_382,plain,
join(meet(X_6,meet(X_7,X_6)),meet(meet(X_7,X_6),X_6)) = meet(X_6,meet(X_7,X_6)),
inference(resolve,[$cnf( $equal(join(meet(X_6,meet(X_7,X_6)),meet(X_6,meet(X_7,X_6))),meet(X_6,meet(X_7,X_6))) )],[refute_0_372,refute_0_381]) ).
cnf(refute_0_383,plain,
( join(meet(X_6,meet(X_7,X_6)),meet(meet(X_7,X_6),X_6)) != meet(X_6,meet(X_7,X_6))
| join(meet(X_6,meet(X_7,X_6)),meet(meet(X_7,X_6),X_6)) != meet(X_7,X_6)
| meet(X_6,meet(X_7,X_6)) = meet(X_7,X_6) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_6,meet(X_7,X_6)),meet(meet(X_7,X_6),X_6)),meet(X_7,X_6)) ),[0],$fot(meet(X_6,meet(X_7,X_6)))]]) ).
cnf(refute_0_384,plain,
( join(meet(X_6,meet(X_7,X_6)),meet(meet(X_7,X_6),X_6)) != meet(X_7,X_6)
| meet(X_6,meet(X_7,X_6)) = meet(X_7,X_6) ),
inference(resolve,[$cnf( $equal(join(meet(X_6,meet(X_7,X_6)),meet(meet(X_7,X_6),X_6)),meet(X_6,meet(X_7,X_6))) )],[refute_0_382,refute_0_383]) ).
cnf(refute_0_385,plain,
meet(X_6,meet(X_7,X_6)) = meet(X_7,X_6),
inference(resolve,[$cnf( $equal(join(meet(X_6,meet(X_7,X_6)),meet(meet(X_7,X_6),X_6)),meet(X_7,X_6)) )],[refute_0_371,refute_0_384]) ).
cnf(refute_0_386,plain,
meet(A,meet(B,A)) = meet(B,A),
inference(subst,[],[refute_0_385:[bind(X_6,$fot(A)),bind(X_7,$fot(B))]]) ).
cnf(refute_0_387,plain,
( meet(A,meet(B,A)) != meet(B,A)
| meet(A,meet(B,A)) != meet(meet(B,A),A)
| meet(B,A) = meet(meet(B,A),A) ),
introduced(tautology,[equality,[$cnf( $equal(meet(A,meet(B,A)),meet(meet(B,A),A)) ),[0],$fot(meet(B,A))]]) ).
cnf(refute_0_388,plain,
( meet(A,meet(B,A)) != meet(meet(B,A),A)
| meet(B,A) = meet(meet(B,A),A) ),
inference(resolve,[$cnf( $equal(meet(A,meet(B,A)),meet(B,A)) )],[refute_0_386,refute_0_387]) ).
cnf(refute_0_389,plain,
meet(B,A) = meet(meet(B,A),A),
inference(resolve,[$cnf( $equal(meet(A,meet(B,A)),meet(meet(B,A),A)) )],[refute_0_324,refute_0_388]) ).
cnf(refute_0_390,plain,
( meet(B,A) != meet(meet(B,A),A)
| meet(meet(B,A),A) = meet(B,A) ),
inference(subst,[],[refute_0_124:[bind(X,$fot(meet(B,A))),bind(Y,$fot(meet(meet(B,A),A)))]]) ).
cnf(refute_0_391,plain,
meet(meet(B,A),A) = meet(B,A),
inference(resolve,[$cnf( $equal(meet(B,A),meet(meet(B,A),A)) )],[refute_0_389,refute_0_390]) ).
cnf(refute_0_392,plain,
meet(meet(join(A,X_44),X_44),X_44) = meet(join(A,X_44),X_44),
inference(subst,[],[refute_0_391:[bind(A,$fot(X_44)),bind(B,$fot(join(A,X_44)))]]) ).
cnf(refute_0_393,plain,
join(join(meet(X_12,X_13),meet(meet(join(X_12,B),join(C,X_12)),X_12)),X_12) = X_12,
inference(subst,[],[wal_absorbtion_5:[bind(A,$fot(X_12)),bind(B,$fot(X_13)),bind(C,$fot(meet(join(X_12,B),join(C,X_12))))]]) ).
cnf(refute_0_394,plain,
meet(meet(join(X_12,B),join(C,X_12)),X_12) = X_12,
inference(subst,[],[wal_absorbtion_4:[bind(A,$fot(X_12))]]) ).
cnf(refute_0_395,plain,
( join(join(meet(X_12,X_13),meet(meet(join(X_12,B),join(C,X_12)),X_12)),X_12) != X_12
| meet(meet(join(X_12,B),join(C,X_12)),X_12) != X_12
| join(join(meet(X_12,X_13),X_12),X_12) = X_12 ),
introduced(tautology,[equality,[$cnf( $equal(join(join(meet(X_12,X_13),meet(meet(join(X_12,B),join(C,X_12)),X_12)),X_12),X_12) ),[0,0,1],$fot(X_12)]]) ).
cnf(refute_0_396,plain,
( join(join(meet(X_12,X_13),meet(meet(join(X_12,B),join(C,X_12)),X_12)),X_12) != X_12
| join(join(meet(X_12,X_13),X_12),X_12) = X_12 ),
inference(resolve,[$cnf( $equal(meet(meet(join(X_12,B),join(C,X_12)),X_12),X_12) )],[refute_0_394,refute_0_395]) ).
cnf(refute_0_397,plain,
join(join(meet(X_12,X_13),X_12),X_12) = X_12,
inference(resolve,[$cnf( $equal(join(join(meet(X_12,X_13),meet(meet(join(X_12,B),join(C,X_12)),X_12)),X_12),X_12) )],[refute_0_393,refute_0_396]) ).
cnf(refute_0_398,plain,
join(join(meet(meet(X_13,join(X_42,X_13)),X_13),meet(X_13,join(X_42,X_13))),meet(X_13,join(X_42,X_13))) = meet(X_13,join(X_42,X_13)),
inference(subst,[],[refute_0_397:[bind(X_12,$fot(meet(X_13,join(X_42,X_13))))]]) ).
cnf(refute_0_399,plain,
meet(meet(X_13,join(X_42,X_13)),X_13) = X_13,
inference(subst,[],[refute_0_51:[bind(A,$fot(X_13)),bind(C,$fot(X_42))]]) ).
cnf(refute_0_400,plain,
( join(join(meet(meet(X_13,join(X_42,X_13)),X_13),meet(X_13,join(X_42,X_13))),meet(X_13,join(X_42,X_13))) != meet(X_13,join(X_42,X_13))
| meet(meet(X_13,join(X_42,X_13)),X_13) != X_13
| join(join(X_13,meet(X_13,join(X_42,X_13))),meet(X_13,join(X_42,X_13))) = meet(X_13,join(X_42,X_13)) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(meet(meet(X_13,join(X_42,X_13)),X_13),meet(X_13,join(X_42,X_13))),meet(X_13,join(X_42,X_13))),meet(X_13,join(X_42,X_13))) ),[0,0,0],$fot(X_13)]]) ).
cnf(refute_0_401,plain,
( join(join(meet(meet(X_13,join(X_42,X_13)),X_13),meet(X_13,join(X_42,X_13))),meet(X_13,join(X_42,X_13))) != meet(X_13,join(X_42,X_13))
| join(join(X_13,meet(X_13,join(X_42,X_13))),meet(X_13,join(X_42,X_13))) = meet(X_13,join(X_42,X_13)) ),
inference(resolve,[$cnf( $equal(meet(meet(X_13,join(X_42,X_13)),X_13),X_13) )],[refute_0_399,refute_0_400]) ).
cnf(refute_0_402,plain,
join(join(X_13,meet(X_13,join(X_42,X_13))),meet(X_13,join(X_42,X_13))) = meet(X_13,join(X_42,X_13)),
inference(resolve,[$cnf( $equal(join(join(meet(meet(X_13,join(X_42,X_13)),X_13),meet(X_13,join(X_42,X_13))),meet(X_13,join(X_42,X_13))),meet(X_13,join(X_42,X_13))) )],[refute_0_398,refute_0_401]) ).
cnf(refute_0_403,plain,
join(meet(meet(meet(X_1,join(X_42,X_1)),X_1),meet(meet(X_1,join(X_42,X_1)),join(meet(X_1,join(X_42,X_1)),X_1))),meet(meet(meet(X_1,join(X_42,X_1)),X_1),meet(X_1,join(X_42,X_1)))) = meet(meet(X_1,join(X_42,X_1)),X_1),
inference(subst,[],[refute_0_170:[bind(X_0,$fot(meet(X_1,join(X_42,X_1))))]]) ).
cnf(refute_0_404,plain,
meet(meet(X_1,join(X_42,X_1)),X_1) = X_1,
inference(subst,[],[refute_0_51:[bind(A,$fot(X_1)),bind(C,$fot(X_42))]]) ).
cnf(refute_0_405,plain,
( join(meet(meet(meet(X_1,join(X_42,X_1)),X_1),meet(meet(X_1,join(X_42,X_1)),join(meet(X_1,join(X_42,X_1)),X_1))),meet(meet(meet(X_1,join(X_42,X_1)),X_1),meet(X_1,join(X_42,X_1)))) != meet(meet(X_1,join(X_42,X_1)),X_1)
| meet(meet(X_1,join(X_42,X_1)),X_1) != X_1
| join(meet(X_1,meet(meet(X_1,join(X_42,X_1)),join(meet(X_1,join(X_42,X_1)),X_1))),meet(meet(meet(X_1,join(X_42,X_1)),X_1),meet(X_1,join(X_42,X_1)))) = meet(meet(X_1,join(X_42,X_1)),X_1) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(meet(X_1,join(X_42,X_1)),X_1),meet(meet(X_1,join(X_42,X_1)),join(meet(X_1,join(X_42,X_1)),X_1))),meet(meet(meet(X_1,join(X_42,X_1)),X_1),meet(X_1,join(X_42,X_1)))),meet(meet(X_1,join(X_42,X_1)),X_1)) ),[0,0,0],$fot(X_1)]]) ).
cnf(refute_0_406,plain,
( join(meet(meet(meet(X_1,join(X_42,X_1)),X_1),meet(meet(X_1,join(X_42,X_1)),join(meet(X_1,join(X_42,X_1)),X_1))),meet(meet(meet(X_1,join(X_42,X_1)),X_1),meet(X_1,join(X_42,X_1)))) != meet(meet(X_1,join(X_42,X_1)),X_1)
| join(meet(X_1,meet(meet(X_1,join(X_42,X_1)),join(meet(X_1,join(X_42,X_1)),X_1))),meet(meet(meet(X_1,join(X_42,X_1)),X_1),meet(X_1,join(X_42,X_1)))) = meet(meet(X_1,join(X_42,X_1)),X_1) ),
inference(resolve,[$cnf( $equal(meet(meet(X_1,join(X_42,X_1)),X_1),X_1) )],[refute_0_404,refute_0_405]) ).
cnf(refute_0_407,plain,
join(meet(X_1,meet(meet(X_1,join(X_42,X_1)),join(meet(X_1,join(X_42,X_1)),X_1))),meet(meet(meet(X_1,join(X_42,X_1)),X_1),meet(X_1,join(X_42,X_1)))) = meet(meet(X_1,join(X_42,X_1)),X_1),
inference(resolve,[$cnf( $equal(join(meet(meet(meet(X_1,join(X_42,X_1)),X_1),meet(meet(X_1,join(X_42,X_1)),join(meet(X_1,join(X_42,X_1)),X_1))),meet(meet(meet(X_1,join(X_42,X_1)),X_1),meet(X_1,join(X_42,X_1)))),meet(meet(X_1,join(X_42,X_1)),X_1)) )],[refute_0_403,refute_0_406]) ).
cnf(refute_0_408,plain,
meet(meet(meet(X_1,join(X_42,X_1)),X_1),meet(X_1,join(X_42,X_1))) = meet(meet(meet(X_1,join(X_42,X_1)),X_1),meet(X_1,join(X_42,X_1))),
introduced(tautology,[refl,[$fot(meet(meet(meet(X_1,join(X_42,X_1)),X_1),meet(X_1,join(X_42,X_1))))]]) ).
cnf(refute_0_409,plain,
( meet(meet(X_1,join(X_42,X_1)),X_1) != X_1
| meet(meet(meet(X_1,join(X_42,X_1)),X_1),meet(X_1,join(X_42,X_1))) != meet(meet(meet(X_1,join(X_42,X_1)),X_1),meet(X_1,join(X_42,X_1)))
| meet(meet(meet(X_1,join(X_42,X_1)),X_1),meet(X_1,join(X_42,X_1))) = meet(X_1,meet(X_1,join(X_42,X_1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(meet(X_1,join(X_42,X_1)),X_1),meet(X_1,join(X_42,X_1))),meet(meet(meet(X_1,join(X_42,X_1)),X_1),meet(X_1,join(X_42,X_1)))) ),[1,0],$fot(X_1)]]) ).
cnf(refute_0_410,plain,
( meet(meet(X_1,join(X_42,X_1)),X_1) != X_1
| meet(meet(meet(X_1,join(X_42,X_1)),X_1),meet(X_1,join(X_42,X_1))) = meet(X_1,meet(X_1,join(X_42,X_1))) ),
inference(resolve,[$cnf( $equal(meet(meet(meet(X_1,join(X_42,X_1)),X_1),meet(X_1,join(X_42,X_1))),meet(meet(meet(X_1,join(X_42,X_1)),X_1),meet(X_1,join(X_42,X_1)))) )],[refute_0_408,refute_0_409]) ).
cnf(refute_0_411,plain,
meet(meet(meet(X_1,join(X_42,X_1)),X_1),meet(X_1,join(X_42,X_1))) = meet(X_1,meet(X_1,join(X_42,X_1))),
inference(resolve,[$cnf( $equal(meet(meet(X_1,join(X_42,X_1)),X_1),X_1) )],[refute_0_404,refute_0_410]) ).
cnf(refute_0_412,plain,
join(meet(X_1,meet(meet(X_1,join(X_42,X_1)),join(meet(X_1,join(X_42,X_1)),X_1))),meet(meet(meet(X_1,join(X_42,X_1)),X_1),meet(X_1,join(X_42,X_1)))) = join(meet(X_1,meet(meet(X_1,join(X_42,X_1)),join(meet(X_1,join(X_42,X_1)),X_1))),meet(meet(meet(X_1,join(X_42,X_1)),X_1),meet(X_1,join(X_42,X_1)))),
introduced(tautology,[refl,[$fot(join(meet(X_1,meet(meet(X_1,join(X_42,X_1)),join(meet(X_1,join(X_42,X_1)),X_1))),meet(meet(meet(X_1,join(X_42,X_1)),X_1),meet(X_1,join(X_42,X_1)))))]]) ).
cnf(refute_0_413,plain,
( join(meet(X_1,meet(meet(X_1,join(X_42,X_1)),join(meet(X_1,join(X_42,X_1)),X_1))),meet(meet(meet(X_1,join(X_42,X_1)),X_1),meet(X_1,join(X_42,X_1)))) != join(meet(X_1,meet(meet(X_1,join(X_42,X_1)),join(meet(X_1,join(X_42,X_1)),X_1))),meet(meet(meet(X_1,join(X_42,X_1)),X_1),meet(X_1,join(X_42,X_1))))
| meet(meet(meet(X_1,join(X_42,X_1)),X_1),meet(X_1,join(X_42,X_1))) != meet(X_1,meet(X_1,join(X_42,X_1)))
| join(meet(X_1,meet(meet(X_1,join(X_42,X_1)),join(meet(X_1,join(X_42,X_1)),X_1))),meet(meet(meet(X_1,join(X_42,X_1)),X_1),meet(X_1,join(X_42,X_1)))) = join(meet(X_1,meet(meet(X_1,join(X_42,X_1)),join(meet(X_1,join(X_42,X_1)),X_1))),meet(X_1,meet(X_1,join(X_42,X_1)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_1,meet(meet(X_1,join(X_42,X_1)),join(meet(X_1,join(X_42,X_1)),X_1))),meet(meet(meet(X_1,join(X_42,X_1)),X_1),meet(X_1,join(X_42,X_1)))),join(meet(X_1,meet(meet(X_1,join(X_42,X_1)),join(meet(X_1,join(X_42,X_1)),X_1))),meet(meet(meet(X_1,join(X_42,X_1)),X_1),meet(X_1,join(X_42,X_1))))) ),[1,1],$fot(meet(X_1,meet(X_1,join(X_42,X_1))))]]) ).
cnf(refute_0_414,plain,
( meet(meet(meet(X_1,join(X_42,X_1)),X_1),meet(X_1,join(X_42,X_1))) != meet(X_1,meet(X_1,join(X_42,X_1)))
| join(meet(X_1,meet(meet(X_1,join(X_42,X_1)),join(meet(X_1,join(X_42,X_1)),X_1))),meet(meet(meet(X_1,join(X_42,X_1)),X_1),meet(X_1,join(X_42,X_1)))) = join(meet(X_1,meet(meet(X_1,join(X_42,X_1)),join(meet(X_1,join(X_42,X_1)),X_1))),meet(X_1,meet(X_1,join(X_42,X_1)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_1,meet(meet(X_1,join(X_42,X_1)),join(meet(X_1,join(X_42,X_1)),X_1))),meet(meet(meet(X_1,join(X_42,X_1)),X_1),meet(X_1,join(X_42,X_1)))),join(meet(X_1,meet(meet(X_1,join(X_42,X_1)),join(meet(X_1,join(X_42,X_1)),X_1))),meet(meet(meet(X_1,join(X_42,X_1)),X_1),meet(X_1,join(X_42,X_1))))) )],[refute_0_412,refute_0_413]) ).
cnf(refute_0_415,plain,
join(meet(X_1,meet(meet(X_1,join(X_42,X_1)),join(meet(X_1,join(X_42,X_1)),X_1))),meet(meet(meet(X_1,join(X_42,X_1)),X_1),meet(X_1,join(X_42,X_1)))) = join(meet(X_1,meet(meet(X_1,join(X_42,X_1)),join(meet(X_1,join(X_42,X_1)),X_1))),meet(X_1,meet(X_1,join(X_42,X_1)))),
inference(resolve,[$cnf( $equal(meet(meet(meet(X_1,join(X_42,X_1)),X_1),meet(X_1,join(X_42,X_1))),meet(X_1,meet(X_1,join(X_42,X_1)))) )],[refute_0_411,refute_0_414]) ).
cnf(refute_0_416,plain,
( join(meet(X_1,meet(meet(X_1,join(X_42,X_1)),join(meet(X_1,join(X_42,X_1)),X_1))),meet(meet(meet(X_1,join(X_42,X_1)),X_1),meet(X_1,join(X_42,X_1)))) != join(meet(X_1,meet(meet(X_1,join(X_42,X_1)),join(meet(X_1,join(X_42,X_1)),X_1))),meet(X_1,meet(X_1,join(X_42,X_1))))
| join(meet(X_1,meet(meet(X_1,join(X_42,X_1)),join(meet(X_1,join(X_42,X_1)),X_1))),meet(meet(meet(X_1,join(X_42,X_1)),X_1),meet(X_1,join(X_42,X_1)))) != meet(meet(X_1,join(X_42,X_1)),X_1)
| join(meet(X_1,meet(meet(X_1,join(X_42,X_1)),join(meet(X_1,join(X_42,X_1)),X_1))),meet(X_1,meet(X_1,join(X_42,X_1)))) = meet(meet(X_1,join(X_42,X_1)),X_1) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_1,meet(meet(X_1,join(X_42,X_1)),join(meet(X_1,join(X_42,X_1)),X_1))),meet(meet(meet(X_1,join(X_42,X_1)),X_1),meet(X_1,join(X_42,X_1)))),meet(meet(X_1,join(X_42,X_1)),X_1)) ),[0],$fot(join(meet(X_1,meet(meet(X_1,join(X_42,X_1)),join(meet(X_1,join(X_42,X_1)),X_1))),meet(X_1,meet(X_1,join(X_42,X_1)))))]]) ).
cnf(refute_0_417,plain,
( join(meet(X_1,meet(meet(X_1,join(X_42,X_1)),join(meet(X_1,join(X_42,X_1)),X_1))),meet(meet(meet(X_1,join(X_42,X_1)),X_1),meet(X_1,join(X_42,X_1)))) != meet(meet(X_1,join(X_42,X_1)),X_1)
| join(meet(X_1,meet(meet(X_1,join(X_42,X_1)),join(meet(X_1,join(X_42,X_1)),X_1))),meet(X_1,meet(X_1,join(X_42,X_1)))) = meet(meet(X_1,join(X_42,X_1)),X_1) ),
inference(resolve,[$cnf( $equal(join(meet(X_1,meet(meet(X_1,join(X_42,X_1)),join(meet(X_1,join(X_42,X_1)),X_1))),meet(meet(meet(X_1,join(X_42,X_1)),X_1),meet(X_1,join(X_42,X_1)))),join(meet(X_1,meet(meet(X_1,join(X_42,X_1)),join(meet(X_1,join(X_42,X_1)),X_1))),meet(X_1,meet(X_1,join(X_42,X_1))))) )],[refute_0_415,refute_0_416]) ).
cnf(refute_0_418,plain,
( join(meet(X_1,meet(meet(X_1,join(X_42,X_1)),join(meet(X_1,join(X_42,X_1)),X_1))),meet(X_1,meet(X_1,join(X_42,X_1)))) != meet(meet(X_1,join(X_42,X_1)),X_1)
| meet(meet(X_1,join(X_42,X_1)),X_1) != X_1
| join(meet(X_1,meet(meet(X_1,join(X_42,X_1)),join(meet(X_1,join(X_42,X_1)),X_1))),meet(X_1,meet(X_1,join(X_42,X_1)))) = X_1 ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(meet(X_1,meet(meet(X_1,join(X_42,X_1)),join(meet(X_1,join(X_42,X_1)),X_1))),meet(X_1,meet(X_1,join(X_42,X_1)))),X_1) ),[0],$fot(meet(meet(X_1,join(X_42,X_1)),X_1))]]) ).
cnf(refute_0_419,plain,
( join(meet(X_1,meet(meet(X_1,join(X_42,X_1)),join(meet(X_1,join(X_42,X_1)),X_1))),meet(X_1,meet(X_1,join(X_42,X_1)))) != meet(meet(X_1,join(X_42,X_1)),X_1)
| join(meet(X_1,meet(meet(X_1,join(X_42,X_1)),join(meet(X_1,join(X_42,X_1)),X_1))),meet(X_1,meet(X_1,join(X_42,X_1)))) = X_1 ),
inference(resolve,[$cnf( $equal(meet(meet(X_1,join(X_42,X_1)),X_1),X_1) )],[refute_0_404,refute_0_418]) ).
cnf(refute_0_420,plain,
( join(meet(X_1,meet(meet(X_1,join(X_42,X_1)),join(meet(X_1,join(X_42,X_1)),X_1))),meet(meet(meet(X_1,join(X_42,X_1)),X_1),meet(X_1,join(X_42,X_1)))) != meet(meet(X_1,join(X_42,X_1)),X_1)
| join(meet(X_1,meet(meet(X_1,join(X_42,X_1)),join(meet(X_1,join(X_42,X_1)),X_1))),meet(X_1,meet(X_1,join(X_42,X_1)))) = X_1 ),
inference(resolve,[$cnf( $equal(join(meet(X_1,meet(meet(X_1,join(X_42,X_1)),join(meet(X_1,join(X_42,X_1)),X_1))),meet(X_1,meet(X_1,join(X_42,X_1)))),meet(meet(X_1,join(X_42,X_1)),X_1)) )],[refute_0_417,refute_0_419]) ).
cnf(refute_0_421,plain,
join(meet(X_1,meet(meet(X_1,join(X_42,X_1)),join(meet(X_1,join(X_42,X_1)),X_1))),meet(X_1,meet(X_1,join(X_42,X_1)))) = X_1,
inference(resolve,[$cnf( $equal(join(meet(X_1,meet(meet(X_1,join(X_42,X_1)),join(meet(X_1,join(X_42,X_1)),X_1))),meet(meet(meet(X_1,join(X_42,X_1)),X_1),meet(X_1,join(X_42,X_1)))),meet(meet(X_1,join(X_42,X_1)),X_1)) )],[refute_0_407,refute_0_420]) ).
cnf(refute_0_422,plain,
meet(X_1,meet(X_1,join(X_42,X_1))) = meet(X_1,join(X_42,X_1)),
inference(subst,[],[refute_0_116:[bind(A,$fot(X_42)),bind(B,$fot(X_1))]]) ).
cnf(refute_0_423,plain,
join(meet(X_1,meet(meet(X_1,join(X_42,X_1)),join(meet(X_1,join(X_42,X_1)),X_1))),meet(X_1,meet(X_1,join(X_42,X_1)))) = join(meet(X_1,meet(meet(X_1,join(X_42,X_1)),join(meet(X_1,join(X_42,X_1)),X_1))),meet(X_1,meet(X_1,join(X_42,X_1)))),
introduced(tautology,[refl,[$fot(join(meet(X_1,meet(meet(X_1,join(X_42,X_1)),join(meet(X_1,join(X_42,X_1)),X_1))),meet(X_1,meet(X_1,join(X_42,X_1)))))]]) ).
cnf(refute_0_424,plain,
( join(meet(X_1,meet(meet(X_1,join(X_42,X_1)),join(meet(X_1,join(X_42,X_1)),X_1))),meet(X_1,meet(X_1,join(X_42,X_1)))) != join(meet(X_1,meet(meet(X_1,join(X_42,X_1)),join(meet(X_1,join(X_42,X_1)),X_1))),meet(X_1,meet(X_1,join(X_42,X_1))))
| meet(X_1,meet(X_1,join(X_42,X_1))) != meet(X_1,join(X_42,X_1))
| join(meet(X_1,meet(meet(X_1,join(X_42,X_1)),join(meet(X_1,join(X_42,X_1)),X_1))),meet(X_1,meet(X_1,join(X_42,X_1)))) = join(meet(X_1,meet(meet(X_1,join(X_42,X_1)),join(meet(X_1,join(X_42,X_1)),X_1))),meet(X_1,join(X_42,X_1))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_1,meet(meet(X_1,join(X_42,X_1)),join(meet(X_1,join(X_42,X_1)),X_1))),meet(X_1,meet(X_1,join(X_42,X_1)))),join(meet(X_1,meet(meet(X_1,join(X_42,X_1)),join(meet(X_1,join(X_42,X_1)),X_1))),meet(X_1,meet(X_1,join(X_42,X_1))))) ),[1,1],$fot(meet(X_1,join(X_42,X_1)))]]) ).
cnf(refute_0_425,plain,
( meet(X_1,meet(X_1,join(X_42,X_1))) != meet(X_1,join(X_42,X_1))
| join(meet(X_1,meet(meet(X_1,join(X_42,X_1)),join(meet(X_1,join(X_42,X_1)),X_1))),meet(X_1,meet(X_1,join(X_42,X_1)))) = join(meet(X_1,meet(meet(X_1,join(X_42,X_1)),join(meet(X_1,join(X_42,X_1)),X_1))),meet(X_1,join(X_42,X_1))) ),
inference(resolve,[$cnf( $equal(join(meet(X_1,meet(meet(X_1,join(X_42,X_1)),join(meet(X_1,join(X_42,X_1)),X_1))),meet(X_1,meet(X_1,join(X_42,X_1)))),join(meet(X_1,meet(meet(X_1,join(X_42,X_1)),join(meet(X_1,join(X_42,X_1)),X_1))),meet(X_1,meet(X_1,join(X_42,X_1))))) )],[refute_0_423,refute_0_424]) ).
cnf(refute_0_426,plain,
join(meet(X_1,meet(meet(X_1,join(X_42,X_1)),join(meet(X_1,join(X_42,X_1)),X_1))),meet(X_1,meet(X_1,join(X_42,X_1)))) = join(meet(X_1,meet(meet(X_1,join(X_42,X_1)),join(meet(X_1,join(X_42,X_1)),X_1))),meet(X_1,join(X_42,X_1))),
inference(resolve,[$cnf( $equal(meet(X_1,meet(X_1,join(X_42,X_1))),meet(X_1,join(X_42,X_1))) )],[refute_0_422,refute_0_425]) ).
cnf(refute_0_427,plain,
( join(meet(X_1,meet(meet(X_1,join(X_42,X_1)),join(meet(X_1,join(X_42,X_1)),X_1))),meet(X_1,meet(X_1,join(X_42,X_1)))) != X_1
| join(meet(X_1,meet(meet(X_1,join(X_42,X_1)),join(meet(X_1,join(X_42,X_1)),X_1))),meet(X_1,meet(X_1,join(X_42,X_1)))) != join(meet(X_1,meet(meet(X_1,join(X_42,X_1)),join(meet(X_1,join(X_42,X_1)),X_1))),meet(X_1,join(X_42,X_1)))
| join(meet(X_1,meet(meet(X_1,join(X_42,X_1)),join(meet(X_1,join(X_42,X_1)),X_1))),meet(X_1,join(X_42,X_1))) = X_1 ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_1,meet(meet(X_1,join(X_42,X_1)),join(meet(X_1,join(X_42,X_1)),X_1))),meet(X_1,meet(X_1,join(X_42,X_1)))),X_1) ),[0],$fot(join(meet(X_1,meet(meet(X_1,join(X_42,X_1)),join(meet(X_1,join(X_42,X_1)),X_1))),meet(X_1,join(X_42,X_1))))]]) ).
cnf(refute_0_428,plain,
( join(meet(X_1,meet(meet(X_1,join(X_42,X_1)),join(meet(X_1,join(X_42,X_1)),X_1))),meet(X_1,meet(X_1,join(X_42,X_1)))) != X_1
| join(meet(X_1,meet(meet(X_1,join(X_42,X_1)),join(meet(X_1,join(X_42,X_1)),X_1))),meet(X_1,join(X_42,X_1))) = X_1 ),
inference(resolve,[$cnf( $equal(join(meet(X_1,meet(meet(X_1,join(X_42,X_1)),join(meet(X_1,join(X_42,X_1)),X_1))),meet(X_1,meet(X_1,join(X_42,X_1)))),join(meet(X_1,meet(meet(X_1,join(X_42,X_1)),join(meet(X_1,join(X_42,X_1)),X_1))),meet(X_1,join(X_42,X_1)))) )],[refute_0_426,refute_0_427]) ).
cnf(refute_0_429,plain,
join(meet(X_1,meet(meet(X_1,join(X_42,X_1)),join(meet(X_1,join(X_42,X_1)),X_1))),meet(X_1,join(X_42,X_1))) = X_1,
inference(resolve,[$cnf( $equal(join(meet(X_1,meet(meet(X_1,join(X_42,X_1)),join(meet(X_1,join(X_42,X_1)),X_1))),meet(X_1,meet(X_1,join(X_42,X_1)))),X_1) )],[refute_0_421,refute_0_428]) ).
cnf(refute_0_430,plain,
meet(X_1,X_1) = X_1,
inference(subst,[],[refute_0_254:[bind(X_11,$fot(X_1))]]) ).
cnf(refute_0_431,plain,
join(meet(meet(meet(A,B),meet(B,join(A,B))),meet(meet(A,B),join(meet(A,B),meet(B,join(A,B))))),meet(meet(meet(A,B),meet(B,join(A,B))),meet(A,B))) = meet(meet(A,B),meet(B,join(A,B))),
inference(subst,[],[refute_0_170:[bind(X_0,$fot(meet(A,B))),bind(X_1,$fot(meet(B,join(A,B))))]]) ).
cnf(refute_0_432,plain,
( join(meet(A,B),meet(B,join(A,B))) != B
| join(meet(meet(meet(A,B),meet(B,join(A,B))),meet(meet(A,B),join(meet(A,B),meet(B,join(A,B))))),meet(meet(meet(A,B),meet(B,join(A,B))),meet(A,B))) != meet(meet(A,B),meet(B,join(A,B)))
| join(meet(meet(meet(A,B),meet(B,join(A,B))),meet(meet(A,B),B)),meet(meet(meet(A,B),meet(B,join(A,B))),meet(A,B))) = meet(meet(A,B),meet(B,join(A,B))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(meet(A,B),meet(B,join(A,B))),meet(meet(A,B),join(meet(A,B),meet(B,join(A,B))))),meet(meet(meet(A,B),meet(B,join(A,B))),meet(A,B))),meet(meet(A,B),meet(B,join(A,B)))) ),[0,0,1,1],$fot(B)]]) ).
cnf(refute_0_433,plain,
( join(meet(meet(meet(A,B),meet(B,join(A,B))),meet(meet(A,B),join(meet(A,B),meet(B,join(A,B))))),meet(meet(meet(A,B),meet(B,join(A,B))),meet(A,B))) != meet(meet(A,B),meet(B,join(A,B)))
| join(meet(meet(meet(A,B),meet(B,join(A,B))),meet(meet(A,B),B)),meet(meet(meet(A,B),meet(B,join(A,B))),meet(A,B))) = meet(meet(A,B),meet(B,join(A,B))) ),
inference(resolve,[$cnf( $equal(join(meet(A,B),meet(B,join(A,B))),B) )],[wal_absorbtion_3,refute_0_432]) ).
cnf(refute_0_434,plain,
join(meet(meet(meet(A,B),meet(B,join(A,B))),meet(meet(A,B),B)),meet(meet(meet(A,B),meet(B,join(A,B))),meet(A,B))) = meet(meet(A,B),meet(B,join(A,B))),
inference(resolve,[$cnf( $equal(join(meet(meet(meet(A,B),meet(B,join(A,B))),meet(meet(A,B),join(meet(A,B),meet(B,join(A,B))))),meet(meet(meet(A,B),meet(B,join(A,B))),meet(A,B))),meet(meet(A,B),meet(B,join(A,B)))) )],[refute_0_431,refute_0_433]) ).
cnf(refute_0_435,plain,
meet(meet(A,B),B) = meet(B,meet(A,B)),
inference(subst,[],[refute_0_374:[bind(A,$fot(B)),bind(B,$fot(A))]]) ).
cnf(refute_0_436,plain,
meet(meet(meet(A,B),meet(B,join(A,B))),meet(meet(A,B),B)) = meet(meet(meet(A,B),meet(B,join(A,B))),meet(meet(A,B),B)),
introduced(tautology,[refl,[$fot(meet(meet(meet(A,B),meet(B,join(A,B))),meet(meet(A,B),B)))]]) ).
cnf(refute_0_437,plain,
( meet(meet(A,B),B) != meet(B,meet(A,B))
| meet(meet(meet(A,B),meet(B,join(A,B))),meet(meet(A,B),B)) != meet(meet(meet(A,B),meet(B,join(A,B))),meet(meet(A,B),B))
| meet(meet(meet(A,B),meet(B,join(A,B))),meet(meet(A,B),B)) = meet(meet(meet(A,B),meet(B,join(A,B))),meet(B,meet(A,B))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(meet(A,B),meet(B,join(A,B))),meet(meet(A,B),B)),meet(meet(meet(A,B),meet(B,join(A,B))),meet(meet(A,B),B))) ),[1,1],$fot(meet(B,meet(A,B)))]]) ).
cnf(refute_0_438,plain,
( meet(meet(A,B),B) != meet(B,meet(A,B))
| meet(meet(meet(A,B),meet(B,join(A,B))),meet(meet(A,B),B)) = meet(meet(meet(A,B),meet(B,join(A,B))),meet(B,meet(A,B))) ),
inference(resolve,[$cnf( $equal(meet(meet(meet(A,B),meet(B,join(A,B))),meet(meet(A,B),B)),meet(meet(meet(A,B),meet(B,join(A,B))),meet(meet(A,B),B))) )],[refute_0_436,refute_0_437]) ).
cnf(refute_0_439,plain,
meet(meet(meet(A,B),meet(B,join(A,B))),meet(meet(A,B),B)) = meet(meet(meet(A,B),meet(B,join(A,B))),meet(B,meet(A,B))),
inference(resolve,[$cnf( $equal(meet(meet(A,B),B),meet(B,meet(A,B))) )],[refute_0_435,refute_0_438]) ).
cnf(refute_0_440,plain,
join(meet(meet(meet(A,B),meet(B,join(A,B))),meet(meet(A,B),B)),meet(meet(meet(A,B),meet(B,join(A,B))),meet(A,B))) = join(meet(meet(meet(A,B),meet(B,join(A,B))),meet(meet(A,B),B)),meet(meet(meet(A,B),meet(B,join(A,B))),meet(A,B))),
introduced(tautology,[refl,[$fot(join(meet(meet(meet(A,B),meet(B,join(A,B))),meet(meet(A,B),B)),meet(meet(meet(A,B),meet(B,join(A,B))),meet(A,B))))]]) ).
cnf(refute_0_441,plain,
( join(meet(meet(meet(A,B),meet(B,join(A,B))),meet(meet(A,B),B)),meet(meet(meet(A,B),meet(B,join(A,B))),meet(A,B))) != join(meet(meet(meet(A,B),meet(B,join(A,B))),meet(meet(A,B),B)),meet(meet(meet(A,B),meet(B,join(A,B))),meet(A,B)))
| meet(meet(meet(A,B),meet(B,join(A,B))),meet(meet(A,B),B)) != meet(meet(meet(A,B),meet(B,join(A,B))),meet(B,meet(A,B)))
| join(meet(meet(meet(A,B),meet(B,join(A,B))),meet(meet(A,B),B)),meet(meet(meet(A,B),meet(B,join(A,B))),meet(A,B))) = join(meet(meet(meet(A,B),meet(B,join(A,B))),meet(B,meet(A,B))),meet(meet(meet(A,B),meet(B,join(A,B))),meet(A,B))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(meet(A,B),meet(B,join(A,B))),meet(meet(A,B),B)),meet(meet(meet(A,B),meet(B,join(A,B))),meet(A,B))),join(meet(meet(meet(A,B),meet(B,join(A,B))),meet(meet(A,B),B)),meet(meet(meet(A,B),meet(B,join(A,B))),meet(A,B)))) ),[1,0],$fot(meet(meet(meet(A,B),meet(B,join(A,B))),meet(B,meet(A,B))))]]) ).
cnf(refute_0_442,plain,
( meet(meet(meet(A,B),meet(B,join(A,B))),meet(meet(A,B),B)) != meet(meet(meet(A,B),meet(B,join(A,B))),meet(B,meet(A,B)))
| join(meet(meet(meet(A,B),meet(B,join(A,B))),meet(meet(A,B),B)),meet(meet(meet(A,B),meet(B,join(A,B))),meet(A,B))) = join(meet(meet(meet(A,B),meet(B,join(A,B))),meet(B,meet(A,B))),meet(meet(meet(A,B),meet(B,join(A,B))),meet(A,B))) ),
inference(resolve,[$cnf( $equal(join(meet(meet(meet(A,B),meet(B,join(A,B))),meet(meet(A,B),B)),meet(meet(meet(A,B),meet(B,join(A,B))),meet(A,B))),join(meet(meet(meet(A,B),meet(B,join(A,B))),meet(meet(A,B),B)),meet(meet(meet(A,B),meet(B,join(A,B))),meet(A,B)))) )],[refute_0_440,refute_0_441]) ).
cnf(refute_0_443,plain,
join(meet(meet(meet(A,B),meet(B,join(A,B))),meet(meet(A,B),B)),meet(meet(meet(A,B),meet(B,join(A,B))),meet(A,B))) = join(meet(meet(meet(A,B),meet(B,join(A,B))),meet(B,meet(A,B))),meet(meet(meet(A,B),meet(B,join(A,B))),meet(A,B))),
inference(resolve,[$cnf( $equal(meet(meet(meet(A,B),meet(B,join(A,B))),meet(meet(A,B),B)),meet(meet(meet(A,B),meet(B,join(A,B))),meet(B,meet(A,B)))) )],[refute_0_439,refute_0_442]) ).
cnf(refute_0_444,plain,
( join(meet(meet(meet(A,B),meet(B,join(A,B))),meet(meet(A,B),B)),meet(meet(meet(A,B),meet(B,join(A,B))),meet(A,B))) != join(meet(meet(meet(A,B),meet(B,join(A,B))),meet(B,meet(A,B))),meet(meet(meet(A,B),meet(B,join(A,B))),meet(A,B)))
| join(meet(meet(meet(A,B),meet(B,join(A,B))),meet(meet(A,B),B)),meet(meet(meet(A,B),meet(B,join(A,B))),meet(A,B))) != meet(meet(A,B),meet(B,join(A,B)))
| join(meet(meet(meet(A,B),meet(B,join(A,B))),meet(B,meet(A,B))),meet(meet(meet(A,B),meet(B,join(A,B))),meet(A,B))) = meet(meet(A,B),meet(B,join(A,B))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(meet(A,B),meet(B,join(A,B))),meet(meet(A,B),B)),meet(meet(meet(A,B),meet(B,join(A,B))),meet(A,B))),meet(meet(A,B),meet(B,join(A,B)))) ),[0],$fot(join(meet(meet(meet(A,B),meet(B,join(A,B))),meet(B,meet(A,B))),meet(meet(meet(A,B),meet(B,join(A,B))),meet(A,B))))]]) ).
cnf(refute_0_445,plain,
( join(meet(meet(meet(A,B),meet(B,join(A,B))),meet(meet(A,B),B)),meet(meet(meet(A,B),meet(B,join(A,B))),meet(A,B))) != meet(meet(A,B),meet(B,join(A,B)))
| join(meet(meet(meet(A,B),meet(B,join(A,B))),meet(B,meet(A,B))),meet(meet(meet(A,B),meet(B,join(A,B))),meet(A,B))) = meet(meet(A,B),meet(B,join(A,B))) ),
inference(resolve,[$cnf( $equal(join(meet(meet(meet(A,B),meet(B,join(A,B))),meet(meet(A,B),B)),meet(meet(meet(A,B),meet(B,join(A,B))),meet(A,B))),join(meet(meet(meet(A,B),meet(B,join(A,B))),meet(B,meet(A,B))),meet(meet(meet(A,B),meet(B,join(A,B))),meet(A,B)))) )],[refute_0_443,refute_0_444]) ).
cnf(refute_0_446,plain,
join(meet(meet(meet(A,B),meet(B,join(A,B))),meet(B,meet(A,B))),meet(meet(meet(A,B),meet(B,join(A,B))),meet(A,B))) = meet(meet(A,B),meet(B,join(A,B))),
inference(resolve,[$cnf( $equal(join(meet(meet(meet(A,B),meet(B,join(A,B))),meet(meet(A,B),B)),meet(meet(meet(A,B),meet(B,join(A,B))),meet(A,B))),meet(meet(A,B),meet(B,join(A,B)))) )],[refute_0_434,refute_0_445]) ).
cnf(refute_0_447,plain,
join(meet(meet(meet(A,B),meet(B,join(A,B))),meet(A,B)),meet(meet(meet(A,B),meet(B,join(A,B))),meet(A,B))) = meet(meet(meet(A,B),meet(B,join(A,B))),meet(A,B)),
inference(subst,[],[refute_0_152:[bind(B,$fot(meet(meet(meet(A,B),meet(B,join(A,B))),meet(A,B))))]]) ).
cnf(refute_0_448,plain,
meet(B,meet(A,B)) = meet(A,B),
inference(subst,[],[refute_0_385:[bind(X_6,$fot(B)),bind(X_7,$fot(A))]]) ).
cnf(refute_0_449,plain,
meet(meet(meet(A,B),meet(B,join(A,B))),meet(B,meet(A,B))) = meet(meet(meet(A,B),meet(B,join(A,B))),meet(B,meet(A,B))),
introduced(tautology,[refl,[$fot(meet(meet(meet(A,B),meet(B,join(A,B))),meet(B,meet(A,B))))]]) ).
cnf(refute_0_450,plain,
( meet(B,meet(A,B)) != meet(A,B)
| meet(meet(meet(A,B),meet(B,join(A,B))),meet(B,meet(A,B))) != meet(meet(meet(A,B),meet(B,join(A,B))),meet(B,meet(A,B)))
| meet(meet(meet(A,B),meet(B,join(A,B))),meet(B,meet(A,B))) = meet(meet(meet(A,B),meet(B,join(A,B))),meet(A,B)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(meet(A,B),meet(B,join(A,B))),meet(B,meet(A,B))),meet(meet(meet(A,B),meet(B,join(A,B))),meet(B,meet(A,B)))) ),[1,1],$fot(meet(A,B))]]) ).
cnf(refute_0_451,plain,
( meet(B,meet(A,B)) != meet(A,B)
| meet(meet(meet(A,B),meet(B,join(A,B))),meet(B,meet(A,B))) = meet(meet(meet(A,B),meet(B,join(A,B))),meet(A,B)) ),
inference(resolve,[$cnf( $equal(meet(meet(meet(A,B),meet(B,join(A,B))),meet(B,meet(A,B))),meet(meet(meet(A,B),meet(B,join(A,B))),meet(B,meet(A,B)))) )],[refute_0_449,refute_0_450]) ).
cnf(refute_0_452,plain,
meet(meet(meet(A,B),meet(B,join(A,B))),meet(B,meet(A,B))) = meet(meet(meet(A,B),meet(B,join(A,B))),meet(A,B)),
inference(resolve,[$cnf( $equal(meet(B,meet(A,B)),meet(A,B)) )],[refute_0_448,refute_0_451]) ).
cnf(refute_0_453,plain,
join(meet(meet(meet(A,B),meet(B,join(A,B))),meet(B,meet(A,B))),meet(meet(meet(A,B),meet(B,join(A,B))),meet(A,B))) = join(meet(meet(meet(A,B),meet(B,join(A,B))),meet(B,meet(A,B))),meet(meet(meet(A,B),meet(B,join(A,B))),meet(A,B))),
introduced(tautology,[refl,[$fot(join(meet(meet(meet(A,B),meet(B,join(A,B))),meet(B,meet(A,B))),meet(meet(meet(A,B),meet(B,join(A,B))),meet(A,B))))]]) ).
cnf(refute_0_454,plain,
( join(meet(meet(meet(A,B),meet(B,join(A,B))),meet(B,meet(A,B))),meet(meet(meet(A,B),meet(B,join(A,B))),meet(A,B))) != join(meet(meet(meet(A,B),meet(B,join(A,B))),meet(B,meet(A,B))),meet(meet(meet(A,B),meet(B,join(A,B))),meet(A,B)))
| meet(meet(meet(A,B),meet(B,join(A,B))),meet(B,meet(A,B))) != meet(meet(meet(A,B),meet(B,join(A,B))),meet(A,B))
| join(meet(meet(meet(A,B),meet(B,join(A,B))),meet(B,meet(A,B))),meet(meet(meet(A,B),meet(B,join(A,B))),meet(A,B))) = join(meet(meet(meet(A,B),meet(B,join(A,B))),meet(A,B)),meet(meet(meet(A,B),meet(B,join(A,B))),meet(A,B))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(meet(A,B),meet(B,join(A,B))),meet(B,meet(A,B))),meet(meet(meet(A,B),meet(B,join(A,B))),meet(A,B))),join(meet(meet(meet(A,B),meet(B,join(A,B))),meet(B,meet(A,B))),meet(meet(meet(A,B),meet(B,join(A,B))),meet(A,B)))) ),[1,0],$fot(meet(meet(meet(A,B),meet(B,join(A,B))),meet(A,B)))]]) ).
cnf(refute_0_455,plain,
( meet(meet(meet(A,B),meet(B,join(A,B))),meet(B,meet(A,B))) != meet(meet(meet(A,B),meet(B,join(A,B))),meet(A,B))
| join(meet(meet(meet(A,B),meet(B,join(A,B))),meet(B,meet(A,B))),meet(meet(meet(A,B),meet(B,join(A,B))),meet(A,B))) = join(meet(meet(meet(A,B),meet(B,join(A,B))),meet(A,B)),meet(meet(meet(A,B),meet(B,join(A,B))),meet(A,B))) ),
inference(resolve,[$cnf( $equal(join(meet(meet(meet(A,B),meet(B,join(A,B))),meet(B,meet(A,B))),meet(meet(meet(A,B),meet(B,join(A,B))),meet(A,B))),join(meet(meet(meet(A,B),meet(B,join(A,B))),meet(B,meet(A,B))),meet(meet(meet(A,B),meet(B,join(A,B))),meet(A,B)))) )],[refute_0_453,refute_0_454]) ).
cnf(refute_0_456,plain,
join(meet(meet(meet(A,B),meet(B,join(A,B))),meet(B,meet(A,B))),meet(meet(meet(A,B),meet(B,join(A,B))),meet(A,B))) = join(meet(meet(meet(A,B),meet(B,join(A,B))),meet(A,B)),meet(meet(meet(A,B),meet(B,join(A,B))),meet(A,B))),
inference(resolve,[$cnf( $equal(meet(meet(meet(A,B),meet(B,join(A,B))),meet(B,meet(A,B))),meet(meet(meet(A,B),meet(B,join(A,B))),meet(A,B))) )],[refute_0_452,refute_0_455]) ).
cnf(refute_0_457,plain,
( join(meet(meet(meet(A,B),meet(B,join(A,B))),meet(A,B)),meet(meet(meet(A,B),meet(B,join(A,B))),meet(A,B))) != meet(meet(meet(A,B),meet(B,join(A,B))),meet(A,B))
| join(meet(meet(meet(A,B),meet(B,join(A,B))),meet(B,meet(A,B))),meet(meet(meet(A,B),meet(B,join(A,B))),meet(A,B))) != join(meet(meet(meet(A,B),meet(B,join(A,B))),meet(A,B)),meet(meet(meet(A,B),meet(B,join(A,B))),meet(A,B)))
| join(meet(meet(meet(A,B),meet(B,join(A,B))),meet(B,meet(A,B))),meet(meet(meet(A,B),meet(B,join(A,B))),meet(A,B))) = meet(meet(meet(A,B),meet(B,join(A,B))),meet(A,B)) ),
inference(subst,[],[refute_0_126:[bind(X,$fot(join(meet(meet(meet(A,B),meet(B,join(A,B))),meet(B,meet(A,B))),meet(meet(meet(A,B),meet(B,join(A,B))),meet(A,B))))),bind(Y,$fot(join(meet(meet(meet(A,B),meet(B,join(A,B))),meet(A,B)),meet(meet(meet(A,B),meet(B,join(A,B))),meet(A,B))))),bind(Z,$fot(meet(meet(meet(A,B),meet(B,join(A,B))),meet(A,B))))]]) ).
cnf(refute_0_458,plain,
( join(meet(meet(meet(A,B),meet(B,join(A,B))),meet(A,B)),meet(meet(meet(A,B),meet(B,join(A,B))),meet(A,B))) != meet(meet(meet(A,B),meet(B,join(A,B))),meet(A,B))
| join(meet(meet(meet(A,B),meet(B,join(A,B))),meet(B,meet(A,B))),meet(meet(meet(A,B),meet(B,join(A,B))),meet(A,B))) = meet(meet(meet(A,B),meet(B,join(A,B))),meet(A,B)) ),
inference(resolve,[$cnf( $equal(join(meet(meet(meet(A,B),meet(B,join(A,B))),meet(B,meet(A,B))),meet(meet(meet(A,B),meet(B,join(A,B))),meet(A,B))),join(meet(meet(meet(A,B),meet(B,join(A,B))),meet(A,B)),meet(meet(meet(A,B),meet(B,join(A,B))),meet(A,B)))) )],[refute_0_456,refute_0_457]) ).
cnf(refute_0_459,plain,
join(meet(meet(meet(A,B),meet(B,join(A,B))),meet(B,meet(A,B))),meet(meet(meet(A,B),meet(B,join(A,B))),meet(A,B))) = meet(meet(meet(A,B),meet(B,join(A,B))),meet(A,B)),
inference(resolve,[$cnf( $equal(join(meet(meet(meet(A,B),meet(B,join(A,B))),meet(A,B)),meet(meet(meet(A,B),meet(B,join(A,B))),meet(A,B))),meet(meet(meet(A,B),meet(B,join(A,B))),meet(A,B))) )],[refute_0_447,refute_0_458]) ).
cnf(refute_0_460,plain,
( join(meet(meet(meet(A,B),meet(B,join(A,B))),meet(B,meet(A,B))),meet(meet(meet(A,B),meet(B,join(A,B))),meet(A,B))) != meet(meet(A,B),meet(B,join(A,B)))
| join(meet(meet(meet(A,B),meet(B,join(A,B))),meet(B,meet(A,B))),meet(meet(meet(A,B),meet(B,join(A,B))),meet(A,B))) != meet(meet(meet(A,B),meet(B,join(A,B))),meet(A,B))
| meet(meet(meet(A,B),meet(B,join(A,B))),meet(A,B)) = meet(meet(A,B),meet(B,join(A,B))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(meet(A,B),meet(B,join(A,B))),meet(B,meet(A,B))),meet(meet(meet(A,B),meet(B,join(A,B))),meet(A,B))),meet(meet(A,B),meet(B,join(A,B)))) ),[0],$fot(meet(meet(meet(A,B),meet(B,join(A,B))),meet(A,B)))]]) ).
cnf(refute_0_461,plain,
( join(meet(meet(meet(A,B),meet(B,join(A,B))),meet(B,meet(A,B))),meet(meet(meet(A,B),meet(B,join(A,B))),meet(A,B))) != meet(meet(A,B),meet(B,join(A,B)))
| meet(meet(meet(A,B),meet(B,join(A,B))),meet(A,B)) = meet(meet(A,B),meet(B,join(A,B))) ),
inference(resolve,[$cnf( $equal(join(meet(meet(meet(A,B),meet(B,join(A,B))),meet(B,meet(A,B))),meet(meet(meet(A,B),meet(B,join(A,B))),meet(A,B))),meet(meet(meet(A,B),meet(B,join(A,B))),meet(A,B))) )],[refute_0_459,refute_0_460]) ).
cnf(refute_0_462,plain,
meet(meet(meet(A,B),meet(B,join(A,B))),meet(A,B)) = meet(meet(A,B),meet(B,join(A,B))),
inference(resolve,[$cnf( $equal(join(meet(meet(meet(A,B),meet(B,join(A,B))),meet(B,meet(A,B))),meet(meet(meet(A,B),meet(B,join(A,B))),meet(A,B))),meet(meet(A,B),meet(B,join(A,B)))) )],[refute_0_446,refute_0_461]) ).
cnf(refute_0_463,plain,
meet(meet(meet(X_81,meet(X_81,B)),meet(meet(X_81,B),join(X_81,meet(X_81,B)))),meet(X_81,meet(X_81,B))) = meet(meet(X_81,meet(X_81,B)),meet(meet(X_81,B),join(X_81,meet(X_81,B)))),
inference(subst,[],[refute_0_462:[bind(A,$fot(X_81)),bind(B,$fot(meet(X_81,B)))]]) ).
cnf(refute_0_464,plain,
meet(meet(A,B),meet(A,meet(A,B))) = meet(A,meet(A,B)),
inference(subst,[],[refute_0_385:[bind(X_6,$fot(meet(A,B))),bind(X_7,$fot(A))]]) ).
cnf(refute_0_465,plain,
meet(meet(A,meet(A,B)),meet(A,B)) = meet(meet(A,B),meet(A,meet(A,B))),
inference(subst,[],[refute_0_374:[bind(A,$fot(meet(A,B))),bind(B,$fot(A))]]) ).
cnf(refute_0_466,plain,
( meet(meet(A,B),meet(A,meet(A,B))) != meet(A,meet(A,B))
| meet(meet(A,meet(A,B)),meet(A,B)) != meet(meet(A,B),meet(A,meet(A,B)))
| meet(meet(A,meet(A,B)),meet(A,B)) = meet(A,meet(A,B)) ),
inference(subst,[],[refute_0_126:[bind(X,$fot(meet(meet(A,meet(A,B)),meet(A,B)))),bind(Y,$fot(meet(meet(A,B),meet(A,meet(A,B))))),bind(Z,$fot(meet(A,meet(A,B))))]]) ).
cnf(refute_0_467,plain,
( meet(meet(A,B),meet(A,meet(A,B))) != meet(A,meet(A,B))
| meet(meet(A,meet(A,B)),meet(A,B)) = meet(A,meet(A,B)) ),
inference(resolve,[$cnf( $equal(meet(meet(A,meet(A,B)),meet(A,B)),meet(meet(A,B),meet(A,meet(A,B)))) )],[refute_0_465,refute_0_466]) ).
cnf(refute_0_468,plain,
meet(meet(A,meet(A,B)),meet(A,B)) = meet(A,meet(A,B)),
inference(resolve,[$cnf( $equal(meet(meet(A,B),meet(A,meet(A,B))),meet(A,meet(A,B))) )],[refute_0_464,refute_0_467]) ).
cnf(refute_0_469,plain,
( meet(meet(A,meet(A,B)),meet(A,B)) != meet(A,B)
| meet(meet(A,meet(A,B)),meet(A,B)) != meet(A,meet(A,B))
| meet(A,meet(A,B)) = meet(A,B) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(A,meet(A,B)),meet(A,B)),meet(A,B)) ),[0],$fot(meet(A,meet(A,B)))]]) ).
cnf(refute_0_470,plain,
( meet(meet(A,meet(A,B)),meet(A,B)) != meet(A,B)
| meet(A,meet(A,B)) = meet(A,B) ),
inference(resolve,[$cnf( $equal(meet(meet(A,meet(A,B)),meet(A,B)),meet(A,meet(A,B))) )],[refute_0_468,refute_0_469]) ).
cnf(refute_0_471,plain,
meet(A,meet(A,B)) = meet(A,B),
inference(resolve,[$cnf( $equal(meet(meet(A,meet(A,B)),meet(A,B)),meet(A,B)) )],[refute_0_84,refute_0_470]) ).
cnf(refute_0_472,plain,
meet(X_81,meet(X_81,B)) = meet(X_81,B),
inference(subst,[],[refute_0_471:[bind(A,$fot(X_81))]]) ).
cnf(refute_0_473,plain,
( meet(X_81,meet(X_81,B)) != meet(X_81,B)
| meet(meet(meet(X_81,meet(X_81,B)),meet(meet(X_81,B),join(X_81,meet(X_81,B)))),meet(X_81,meet(X_81,B))) != meet(meet(X_81,meet(X_81,B)),meet(meet(X_81,B),join(X_81,meet(X_81,B))))
| meet(meet(meet(X_81,meet(X_81,B)),meet(meet(X_81,B),join(X_81,meet(X_81,B)))),meet(X_81,B)) = meet(meet(X_81,meet(X_81,B)),meet(meet(X_81,B),join(X_81,meet(X_81,B)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(meet(X_81,meet(X_81,B)),meet(meet(X_81,B),join(X_81,meet(X_81,B)))),meet(X_81,meet(X_81,B))),meet(meet(X_81,meet(X_81,B)),meet(meet(X_81,B),join(X_81,meet(X_81,B))))) ),[0,1],$fot(meet(X_81,B))]]) ).
cnf(refute_0_474,plain,
( meet(meet(meet(X_81,meet(X_81,B)),meet(meet(X_81,B),join(X_81,meet(X_81,B)))),meet(X_81,meet(X_81,B))) != meet(meet(X_81,meet(X_81,B)),meet(meet(X_81,B),join(X_81,meet(X_81,B))))
| meet(meet(meet(X_81,meet(X_81,B)),meet(meet(X_81,B),join(X_81,meet(X_81,B)))),meet(X_81,B)) = meet(meet(X_81,meet(X_81,B)),meet(meet(X_81,B),join(X_81,meet(X_81,B)))) ),
inference(resolve,[$cnf( $equal(meet(X_81,meet(X_81,B)),meet(X_81,B)) )],[refute_0_472,refute_0_473]) ).
cnf(refute_0_475,plain,
meet(meet(meet(X_81,meet(X_81,B)),meet(meet(X_81,B),join(X_81,meet(X_81,B)))),meet(X_81,B)) = meet(meet(X_81,meet(X_81,B)),meet(meet(X_81,B),join(X_81,meet(X_81,B)))),
inference(resolve,[$cnf( $equal(meet(meet(meet(X_81,meet(X_81,B)),meet(meet(X_81,B),join(X_81,meet(X_81,B)))),meet(X_81,meet(X_81,B))),meet(meet(X_81,meet(X_81,B)),meet(meet(X_81,B),join(X_81,meet(X_81,B))))) )],[refute_0_463,refute_0_474]) ).
cnf(refute_0_476,plain,
meet(meet(meet(X_81,B),join(X_81,meet(X_81,B))),meet(X_81,B)) = meet(X_81,B),
inference(subst,[],[refute_0_51:[bind(A,$fot(meet(X_81,B))),bind(C,$fot(X_81))]]) ).
cnf(refute_0_477,plain,
meet(meet(X_81,B),meet(meet(X_81,B),join(X_81,meet(X_81,B)))) = meet(meet(X_81,B),join(X_81,meet(X_81,B))),
inference(subst,[],[refute_0_471:[bind(A,$fot(meet(X_81,B))),bind(B,$fot(join(X_81,meet(X_81,B))))]]) ).
cnf(refute_0_478,plain,
meet(meet(X_81,meet(X_81,B)),meet(meet(X_81,B),join(X_81,meet(X_81,B)))) = meet(meet(X_81,meet(X_81,B)),meet(meet(X_81,B),join(X_81,meet(X_81,B)))),
introduced(tautology,[refl,[$fot(meet(meet(X_81,meet(X_81,B)),meet(meet(X_81,B),join(X_81,meet(X_81,B)))))]]) ).
cnf(refute_0_479,plain,
( meet(X_81,meet(X_81,B)) != meet(X_81,B)
| meet(meet(X_81,meet(X_81,B)),meet(meet(X_81,B),join(X_81,meet(X_81,B)))) != meet(meet(X_81,meet(X_81,B)),meet(meet(X_81,B),join(X_81,meet(X_81,B))))
| meet(meet(X_81,meet(X_81,B)),meet(meet(X_81,B),join(X_81,meet(X_81,B)))) = meet(meet(X_81,B),meet(meet(X_81,B),join(X_81,meet(X_81,B)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_81,meet(X_81,B)),meet(meet(X_81,B),join(X_81,meet(X_81,B)))),meet(meet(X_81,meet(X_81,B)),meet(meet(X_81,B),join(X_81,meet(X_81,B))))) ),[1,0],$fot(meet(X_81,B))]]) ).
cnf(refute_0_480,plain,
( meet(X_81,meet(X_81,B)) != meet(X_81,B)
| meet(meet(X_81,meet(X_81,B)),meet(meet(X_81,B),join(X_81,meet(X_81,B)))) = meet(meet(X_81,B),meet(meet(X_81,B),join(X_81,meet(X_81,B)))) ),
inference(resolve,[$cnf( $equal(meet(meet(X_81,meet(X_81,B)),meet(meet(X_81,B),join(X_81,meet(X_81,B)))),meet(meet(X_81,meet(X_81,B)),meet(meet(X_81,B),join(X_81,meet(X_81,B))))) )],[refute_0_478,refute_0_479]) ).
cnf(refute_0_481,plain,
meet(meet(X_81,meet(X_81,B)),meet(meet(X_81,B),join(X_81,meet(X_81,B)))) = meet(meet(X_81,B),meet(meet(X_81,B),join(X_81,meet(X_81,B)))),
inference(resolve,[$cnf( $equal(meet(X_81,meet(X_81,B)),meet(X_81,B)) )],[refute_0_472,refute_0_480]) ).
cnf(refute_0_482,plain,
( meet(meet(X_81,B),meet(meet(X_81,B),join(X_81,meet(X_81,B)))) != meet(meet(X_81,B),join(X_81,meet(X_81,B)))
| meet(meet(X_81,meet(X_81,B)),meet(meet(X_81,B),join(X_81,meet(X_81,B)))) != meet(meet(X_81,B),meet(meet(X_81,B),join(X_81,meet(X_81,B))))
| meet(meet(X_81,meet(X_81,B)),meet(meet(X_81,B),join(X_81,meet(X_81,B)))) = meet(meet(X_81,B),join(X_81,meet(X_81,B))) ),
inference(subst,[],[refute_0_126:[bind(X,$fot(meet(meet(X_81,meet(X_81,B)),meet(meet(X_81,B),join(X_81,meet(X_81,B)))))),bind(Y,$fot(meet(meet(X_81,B),meet(meet(X_81,B),join(X_81,meet(X_81,B)))))),bind(Z,$fot(meet(meet(X_81,B),join(X_81,meet(X_81,B)))))]]) ).
cnf(refute_0_483,plain,
( meet(meet(X_81,B),meet(meet(X_81,B),join(X_81,meet(X_81,B)))) != meet(meet(X_81,B),join(X_81,meet(X_81,B)))
| meet(meet(X_81,meet(X_81,B)),meet(meet(X_81,B),join(X_81,meet(X_81,B)))) = meet(meet(X_81,B),join(X_81,meet(X_81,B))) ),
inference(resolve,[$cnf( $equal(meet(meet(X_81,meet(X_81,B)),meet(meet(X_81,B),join(X_81,meet(X_81,B)))),meet(meet(X_81,B),meet(meet(X_81,B),join(X_81,meet(X_81,B))))) )],[refute_0_481,refute_0_482]) ).
cnf(refute_0_484,plain,
meet(meet(X_81,meet(X_81,B)),meet(meet(X_81,B),join(X_81,meet(X_81,B)))) = meet(meet(X_81,B),join(X_81,meet(X_81,B))),
inference(resolve,[$cnf( $equal(meet(meet(X_81,B),meet(meet(X_81,B),join(X_81,meet(X_81,B)))),meet(meet(X_81,B),join(X_81,meet(X_81,B)))) )],[refute_0_477,refute_0_483]) ).
cnf(refute_0_485,plain,
meet(meet(meet(X_81,meet(X_81,B)),meet(meet(X_81,B),join(X_81,meet(X_81,B)))),meet(X_81,B)) = meet(meet(meet(X_81,meet(X_81,B)),meet(meet(X_81,B),join(X_81,meet(X_81,B)))),meet(X_81,B)),
introduced(tautology,[refl,[$fot(meet(meet(meet(X_81,meet(X_81,B)),meet(meet(X_81,B),join(X_81,meet(X_81,B)))),meet(X_81,B)))]]) ).
cnf(refute_0_486,plain,
( meet(meet(X_81,meet(X_81,B)),meet(meet(X_81,B),join(X_81,meet(X_81,B)))) != meet(meet(X_81,B),join(X_81,meet(X_81,B)))
| meet(meet(meet(X_81,meet(X_81,B)),meet(meet(X_81,B),join(X_81,meet(X_81,B)))),meet(X_81,B)) != meet(meet(meet(X_81,meet(X_81,B)),meet(meet(X_81,B),join(X_81,meet(X_81,B)))),meet(X_81,B))
| meet(meet(meet(X_81,meet(X_81,B)),meet(meet(X_81,B),join(X_81,meet(X_81,B)))),meet(X_81,B)) = meet(meet(meet(X_81,B),join(X_81,meet(X_81,B))),meet(X_81,B)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(meet(X_81,meet(X_81,B)),meet(meet(X_81,B),join(X_81,meet(X_81,B)))),meet(X_81,B)),meet(meet(meet(X_81,meet(X_81,B)),meet(meet(X_81,B),join(X_81,meet(X_81,B)))),meet(X_81,B))) ),[1,0],$fot(meet(meet(X_81,B),join(X_81,meet(X_81,B))))]]) ).
cnf(refute_0_487,plain,
( meet(meet(X_81,meet(X_81,B)),meet(meet(X_81,B),join(X_81,meet(X_81,B)))) != meet(meet(X_81,B),join(X_81,meet(X_81,B)))
| meet(meet(meet(X_81,meet(X_81,B)),meet(meet(X_81,B),join(X_81,meet(X_81,B)))),meet(X_81,B)) = meet(meet(meet(X_81,B),join(X_81,meet(X_81,B))),meet(X_81,B)) ),
inference(resolve,[$cnf( $equal(meet(meet(meet(X_81,meet(X_81,B)),meet(meet(X_81,B),join(X_81,meet(X_81,B)))),meet(X_81,B)),meet(meet(meet(X_81,meet(X_81,B)),meet(meet(X_81,B),join(X_81,meet(X_81,B)))),meet(X_81,B))) )],[refute_0_485,refute_0_486]) ).
cnf(refute_0_488,plain,
meet(meet(meet(X_81,meet(X_81,B)),meet(meet(X_81,B),join(X_81,meet(X_81,B)))),meet(X_81,B)) = meet(meet(meet(X_81,B),join(X_81,meet(X_81,B))),meet(X_81,B)),
inference(resolve,[$cnf( $equal(meet(meet(X_81,meet(X_81,B)),meet(meet(X_81,B),join(X_81,meet(X_81,B)))),meet(meet(X_81,B),join(X_81,meet(X_81,B)))) )],[refute_0_484,refute_0_487]) ).
cnf(refute_0_489,plain,
( meet(meet(meet(X_81,B),join(X_81,meet(X_81,B))),meet(X_81,B)) != meet(X_81,B)
| meet(meet(meet(X_81,meet(X_81,B)),meet(meet(X_81,B),join(X_81,meet(X_81,B)))),meet(X_81,B)) != meet(meet(meet(X_81,B),join(X_81,meet(X_81,B))),meet(X_81,B))
| meet(meet(meet(X_81,meet(X_81,B)),meet(meet(X_81,B),join(X_81,meet(X_81,B)))),meet(X_81,B)) = meet(X_81,B) ),
inference(subst,[],[refute_0_126:[bind(X,$fot(meet(meet(meet(X_81,meet(X_81,B)),meet(meet(X_81,B),join(X_81,meet(X_81,B)))),meet(X_81,B)))),bind(Y,$fot(meet(meet(meet(X_81,B),join(X_81,meet(X_81,B))),meet(X_81,B)))),bind(Z,$fot(meet(X_81,B)))]]) ).
cnf(refute_0_490,plain,
( meet(meet(meet(X_81,B),join(X_81,meet(X_81,B))),meet(X_81,B)) != meet(X_81,B)
| meet(meet(meet(X_81,meet(X_81,B)),meet(meet(X_81,B),join(X_81,meet(X_81,B)))),meet(X_81,B)) = meet(X_81,B) ),
inference(resolve,[$cnf( $equal(meet(meet(meet(X_81,meet(X_81,B)),meet(meet(X_81,B),join(X_81,meet(X_81,B)))),meet(X_81,B)),meet(meet(meet(X_81,B),join(X_81,meet(X_81,B))),meet(X_81,B))) )],[refute_0_488,refute_0_489]) ).
cnf(refute_0_491,plain,
meet(meet(meet(X_81,meet(X_81,B)),meet(meet(X_81,B),join(X_81,meet(X_81,B)))),meet(X_81,B)) = meet(X_81,B),
inference(resolve,[$cnf( $equal(meet(meet(meet(X_81,B),join(X_81,meet(X_81,B))),meet(X_81,B)),meet(X_81,B)) )],[refute_0_476,refute_0_490]) ).
cnf(refute_0_492,plain,
( meet(meet(meet(X_81,meet(X_81,B)),meet(meet(X_81,B),join(X_81,meet(X_81,B)))),meet(X_81,B)) != meet(X_81,B)
| meet(meet(meet(X_81,meet(X_81,B)),meet(meet(X_81,B),join(X_81,meet(X_81,B)))),meet(X_81,B)) != meet(meet(X_81,meet(X_81,B)),meet(meet(X_81,B),join(X_81,meet(X_81,B))))
| meet(X_81,B) = meet(meet(X_81,meet(X_81,B)),meet(meet(X_81,B),join(X_81,meet(X_81,B)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(meet(X_81,meet(X_81,B)),meet(meet(X_81,B),join(X_81,meet(X_81,B)))),meet(X_81,B)),meet(meet(X_81,meet(X_81,B)),meet(meet(X_81,B),join(X_81,meet(X_81,B))))) ),[0],$fot(meet(X_81,B))]]) ).
cnf(refute_0_493,plain,
( meet(meet(meet(X_81,meet(X_81,B)),meet(meet(X_81,B),join(X_81,meet(X_81,B)))),meet(X_81,B)) != meet(meet(X_81,meet(X_81,B)),meet(meet(X_81,B),join(X_81,meet(X_81,B))))
| meet(X_81,B) = meet(meet(X_81,meet(X_81,B)),meet(meet(X_81,B),join(X_81,meet(X_81,B)))) ),
inference(resolve,[$cnf( $equal(meet(meet(meet(X_81,meet(X_81,B)),meet(meet(X_81,B),join(X_81,meet(X_81,B)))),meet(X_81,B)),meet(X_81,B)) )],[refute_0_491,refute_0_492]) ).
cnf(refute_0_494,plain,
( meet(X_81,B) != meet(meet(X_81,meet(X_81,B)),meet(meet(X_81,B),join(X_81,meet(X_81,B))))
| meet(meet(X_81,meet(X_81,B)),meet(meet(X_81,B),join(X_81,meet(X_81,B)))) != meet(meet(X_81,B),join(X_81,meet(X_81,B)))
| meet(X_81,B) = meet(meet(X_81,B),join(X_81,meet(X_81,B))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(meet(X_81,B),meet(meet(X_81,B),join(X_81,meet(X_81,B)))) ),[0],$fot(meet(meet(X_81,meet(X_81,B)),meet(meet(X_81,B),join(X_81,meet(X_81,B)))))]]) ).
cnf(refute_0_495,plain,
( meet(X_81,B) != meet(meet(X_81,meet(X_81,B)),meet(meet(X_81,B),join(X_81,meet(X_81,B))))
| meet(X_81,B) = meet(meet(X_81,B),join(X_81,meet(X_81,B))) ),
inference(resolve,[$cnf( $equal(meet(meet(X_81,meet(X_81,B)),meet(meet(X_81,B),join(X_81,meet(X_81,B)))),meet(meet(X_81,B),join(X_81,meet(X_81,B)))) )],[refute_0_484,refute_0_494]) ).
cnf(refute_0_496,plain,
( meet(meet(meet(X_81,meet(X_81,B)),meet(meet(X_81,B),join(X_81,meet(X_81,B)))),meet(X_81,B)) != meet(meet(X_81,meet(X_81,B)),meet(meet(X_81,B),join(X_81,meet(X_81,B))))
| meet(X_81,B) = meet(meet(X_81,B),join(X_81,meet(X_81,B))) ),
inference(resolve,[$cnf( $equal(meet(X_81,B),meet(meet(X_81,meet(X_81,B)),meet(meet(X_81,B),join(X_81,meet(X_81,B))))) )],[refute_0_493,refute_0_495]) ).
cnf(refute_0_497,plain,
meet(X_81,B) = meet(meet(X_81,B),join(X_81,meet(X_81,B))),
inference(resolve,[$cnf( $equal(meet(meet(meet(X_81,meet(X_81,B)),meet(meet(X_81,B),join(X_81,meet(X_81,B)))),meet(X_81,B)),meet(meet(X_81,meet(X_81,B)),meet(meet(X_81,B),join(X_81,meet(X_81,B))))) )],[refute_0_475,refute_0_496]) ).
cnf(refute_0_498,plain,
meet(meet(X_83,join(C,X_83)),X_83) = meet(meet(meet(X_83,join(C,X_83)),X_83),join(meet(X_83,join(C,X_83)),meet(meet(X_83,join(C,X_83)),X_83))),
inference(subst,[],[refute_0_497:[bind(B,$fot(X_83)),bind(X_81,$fot(meet(X_83,join(C,X_83))))]]) ).
cnf(refute_0_499,plain,
meet(meet(X_83,join(C,X_83)),X_83) = X_83,
inference(subst,[],[refute_0_51:[bind(A,$fot(X_83))]]) ).
cnf(refute_0_500,plain,
( meet(meet(X_83,join(C,X_83)),X_83) != X_83
| meet(meet(X_83,join(C,X_83)),X_83) != meet(meet(meet(X_83,join(C,X_83)),X_83),join(meet(X_83,join(C,X_83)),meet(meet(X_83,join(C,X_83)),X_83)))
| meet(meet(X_83,join(C,X_83)),X_83) = meet(meet(meet(X_83,join(C,X_83)),X_83),join(meet(X_83,join(C,X_83)),X_83)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_83,join(C,X_83)),X_83),meet(meet(meet(X_83,join(C,X_83)),X_83),join(meet(X_83,join(C,X_83)),meet(meet(X_83,join(C,X_83)),X_83)))) ),[1,1,1],$fot(X_83)]]) ).
cnf(refute_0_501,plain,
( meet(meet(X_83,join(C,X_83)),X_83) != meet(meet(meet(X_83,join(C,X_83)),X_83),join(meet(X_83,join(C,X_83)),meet(meet(X_83,join(C,X_83)),X_83)))
| meet(meet(X_83,join(C,X_83)),X_83) = meet(meet(meet(X_83,join(C,X_83)),X_83),join(meet(X_83,join(C,X_83)),X_83)) ),
inference(resolve,[$cnf( $equal(meet(meet(X_83,join(C,X_83)),X_83),X_83) )],[refute_0_499,refute_0_500]) ).
cnf(refute_0_502,plain,
meet(meet(X_83,join(C,X_83)),X_83) = meet(meet(meet(X_83,join(C,X_83)),X_83),join(meet(X_83,join(C,X_83)),X_83)),
inference(resolve,[$cnf( $equal(meet(meet(X_83,join(C,X_83)),X_83),meet(meet(meet(X_83,join(C,X_83)),X_83),join(meet(X_83,join(C,X_83)),meet(meet(X_83,join(C,X_83)),X_83)))) )],[refute_0_498,refute_0_501]) ).
cnf(refute_0_503,plain,
( meet(meet(X_83,join(C,X_83)),X_83) != X_83
| meet(meet(X_83,join(C,X_83)),X_83) != meet(meet(meet(X_83,join(C,X_83)),X_83),join(meet(X_83,join(C,X_83)),X_83))
| X_83 = meet(meet(meet(X_83,join(C,X_83)),X_83),join(meet(X_83,join(C,X_83)),X_83)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_83,join(C,X_83)),X_83),meet(meet(meet(X_83,join(C,X_83)),X_83),join(meet(X_83,join(C,X_83)),X_83))) ),[0],$fot(X_83)]]) ).
cnf(refute_0_504,plain,
( meet(meet(X_83,join(C,X_83)),X_83) != meet(meet(meet(X_83,join(C,X_83)),X_83),join(meet(X_83,join(C,X_83)),X_83))
| X_83 = meet(meet(meet(X_83,join(C,X_83)),X_83),join(meet(X_83,join(C,X_83)),X_83)) ),
inference(resolve,[$cnf( $equal(meet(meet(X_83,join(C,X_83)),X_83),X_83) )],[refute_0_499,refute_0_503]) ).
cnf(refute_0_505,plain,
meet(meet(join(join(meet(B,X_18),B),B),join(meet(B,X_18),B)),join(meet(B,X_18),B)) = join(meet(B,X_18),B),
inference(subst,[],[refute_0_43:[bind(A,$fot(join(meet(B,X_18),B)))]]) ).
cnf(refute_0_506,plain,
join(join(meet(B,X_18),B),B) = B,
inference(subst,[],[refute_0_397:[bind(X_12,$fot(B)),bind(X_13,$fot(X_18))]]) ).
cnf(refute_0_507,plain,
( join(join(meet(B,X_18),B),B) != B
| meet(meet(join(join(meet(B,X_18),B),B),join(meet(B,X_18),B)),join(meet(B,X_18),B)) != join(meet(B,X_18),B)
| meet(meet(B,join(meet(B,X_18),B)),join(meet(B,X_18),B)) = join(meet(B,X_18),B) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(join(join(meet(B,X_18),B),B),join(meet(B,X_18),B)),join(meet(B,X_18),B)),join(meet(B,X_18),B)) ),[0,0,0],$fot(B)]]) ).
cnf(refute_0_508,plain,
( meet(meet(join(join(meet(B,X_18),B),B),join(meet(B,X_18),B)),join(meet(B,X_18),B)) != join(meet(B,X_18),B)
| meet(meet(B,join(meet(B,X_18),B)),join(meet(B,X_18),B)) = join(meet(B,X_18),B) ),
inference(resolve,[$cnf( $equal(join(join(meet(B,X_18),B),B),B) )],[refute_0_506,refute_0_507]) ).
cnf(refute_0_509,plain,
meet(meet(B,join(meet(B,X_18),B)),join(meet(B,X_18),B)) = join(meet(B,X_18),B),
inference(resolve,[$cnf( $equal(meet(meet(join(join(meet(B,X_18),B),B),join(meet(B,X_18),B)),join(meet(B,X_18),B)),join(meet(B,X_18),B)) )],[refute_0_505,refute_0_508]) ).
cnf(refute_0_510,plain,
meet(join(meet(B,X_18),B),meet(B,join(meet(B,X_18),B))) = meet(B,join(meet(B,X_18),B)),
inference(subst,[],[refute_0_385:[bind(X_6,$fot(join(meet(B,X_18),B))),bind(X_7,$fot(B))]]) ).
cnf(refute_0_511,plain,
meet(meet(B,join(meet(B,X_18),B)),join(meet(B,X_18),B)) = meet(join(meet(B,X_18),B),meet(B,join(meet(B,X_18),B))),
inference(subst,[],[refute_0_374:[bind(A,$fot(join(meet(B,X_18),B)))]]) ).
cnf(refute_0_512,plain,
( meet(join(meet(B,X_18),B),meet(B,join(meet(B,X_18),B))) != meet(B,join(meet(B,X_18),B))
| meet(meet(B,join(meet(B,X_18),B)),join(meet(B,X_18),B)) != meet(join(meet(B,X_18),B),meet(B,join(meet(B,X_18),B)))
| meet(meet(B,join(meet(B,X_18),B)),join(meet(B,X_18),B)) = meet(B,join(meet(B,X_18),B)) ),
inference(subst,[],[refute_0_126:[bind(X,$fot(meet(meet(B,join(meet(B,X_18),B)),join(meet(B,X_18),B)))),bind(Y,$fot(meet(join(meet(B,X_18),B),meet(B,join(meet(B,X_18),B))))),bind(Z,$fot(meet(B,join(meet(B,X_18),B))))]]) ).
cnf(refute_0_513,plain,
( meet(join(meet(B,X_18),B),meet(B,join(meet(B,X_18),B))) != meet(B,join(meet(B,X_18),B))
| meet(meet(B,join(meet(B,X_18),B)),join(meet(B,X_18),B)) = meet(B,join(meet(B,X_18),B)) ),
inference(resolve,[$cnf( $equal(meet(meet(B,join(meet(B,X_18),B)),join(meet(B,X_18),B)),meet(join(meet(B,X_18),B),meet(B,join(meet(B,X_18),B)))) )],[refute_0_511,refute_0_512]) ).
cnf(refute_0_514,plain,
meet(meet(B,join(meet(B,X_18),B)),join(meet(B,X_18),B)) = meet(B,join(meet(B,X_18),B)),
inference(resolve,[$cnf( $equal(meet(join(meet(B,X_18),B),meet(B,join(meet(B,X_18),B))),meet(B,join(meet(B,X_18),B))) )],[refute_0_510,refute_0_513]) ).
cnf(refute_0_515,plain,
( meet(meet(B,join(meet(B,X_18),B)),join(meet(B,X_18),B)) != join(meet(B,X_18),B)
| meet(meet(B,join(meet(B,X_18),B)),join(meet(B,X_18),B)) != meet(B,join(meet(B,X_18),B))
| meet(B,join(meet(B,X_18),B)) = join(meet(B,X_18),B) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(B,join(meet(B,X_18),B)),join(meet(B,X_18),B)),join(meet(B,X_18),B)) ),[0],$fot(meet(B,join(meet(B,X_18),B)))]]) ).
cnf(refute_0_516,plain,
( meet(meet(B,join(meet(B,X_18),B)),join(meet(B,X_18),B)) != join(meet(B,X_18),B)
| meet(B,join(meet(B,X_18),B)) = join(meet(B,X_18),B) ),
inference(resolve,[$cnf( $equal(meet(meet(B,join(meet(B,X_18),B)),join(meet(B,X_18),B)),meet(B,join(meet(B,X_18),B))) )],[refute_0_514,refute_0_515]) ).
cnf(refute_0_517,plain,
meet(B,join(meet(B,X_18),B)) = join(meet(B,X_18),B),
inference(resolve,[$cnf( $equal(meet(meet(B,join(meet(B,X_18),B)),join(meet(B,X_18),B)),join(meet(B,X_18),B)) )],[refute_0_509,refute_0_516]) ).
cnf(refute_0_518,plain,
meet(X_83,join(meet(X_83,join(C,X_83)),X_83)) = join(meet(X_83,join(C,X_83)),X_83),
inference(subst,[],[refute_0_517:[bind(B,$fot(X_83)),bind(X_18,$fot(join(C,X_83)))]]) ).
cnf(refute_0_519,plain,
meet(meet(meet(X_83,join(C,X_83)),X_83),join(meet(X_83,join(C,X_83)),X_83)) = meet(meet(meet(X_83,join(C,X_83)),X_83),join(meet(X_83,join(C,X_83)),X_83)),
introduced(tautology,[refl,[$fot(meet(meet(meet(X_83,join(C,X_83)),X_83),join(meet(X_83,join(C,X_83)),X_83)))]]) ).
cnf(refute_0_520,plain,
( meet(meet(X_83,join(C,X_83)),X_83) != X_83
| meet(meet(meet(X_83,join(C,X_83)),X_83),join(meet(X_83,join(C,X_83)),X_83)) != meet(meet(meet(X_83,join(C,X_83)),X_83),join(meet(X_83,join(C,X_83)),X_83))
| meet(meet(meet(X_83,join(C,X_83)),X_83),join(meet(X_83,join(C,X_83)),X_83)) = meet(X_83,join(meet(X_83,join(C,X_83)),X_83)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(meet(X_83,join(C,X_83)),X_83),join(meet(X_83,join(C,X_83)),X_83)),meet(meet(meet(X_83,join(C,X_83)),X_83),join(meet(X_83,join(C,X_83)),X_83))) ),[1,0],$fot(X_83)]]) ).
cnf(refute_0_521,plain,
( meet(meet(X_83,join(C,X_83)),X_83) != X_83
| meet(meet(meet(X_83,join(C,X_83)),X_83),join(meet(X_83,join(C,X_83)),X_83)) = meet(X_83,join(meet(X_83,join(C,X_83)),X_83)) ),
inference(resolve,[$cnf( $equal(meet(meet(meet(X_83,join(C,X_83)),X_83),join(meet(X_83,join(C,X_83)),X_83)),meet(meet(meet(X_83,join(C,X_83)),X_83),join(meet(X_83,join(C,X_83)),X_83))) )],[refute_0_519,refute_0_520]) ).
cnf(refute_0_522,plain,
meet(meet(meet(X_83,join(C,X_83)),X_83),join(meet(X_83,join(C,X_83)),X_83)) = meet(X_83,join(meet(X_83,join(C,X_83)),X_83)),
inference(resolve,[$cnf( $equal(meet(meet(X_83,join(C,X_83)),X_83),X_83) )],[refute_0_499,refute_0_521]) ).
cnf(refute_0_523,plain,
( meet(X_83,join(meet(X_83,join(C,X_83)),X_83)) != join(meet(X_83,join(C,X_83)),X_83)
| meet(meet(meet(X_83,join(C,X_83)),X_83),join(meet(X_83,join(C,X_83)),X_83)) != meet(X_83,join(meet(X_83,join(C,X_83)),X_83))
| meet(meet(meet(X_83,join(C,X_83)),X_83),join(meet(X_83,join(C,X_83)),X_83)) = join(meet(X_83,join(C,X_83)),X_83) ),
inference(subst,[],[refute_0_126:[bind(X,$fot(meet(meet(meet(X_83,join(C,X_83)),X_83),join(meet(X_83,join(C,X_83)),X_83)))),bind(Y,$fot(meet(X_83,join(meet(X_83,join(C,X_83)),X_83)))),bind(Z,$fot(join(meet(X_83,join(C,X_83)),X_83)))]]) ).
cnf(refute_0_524,plain,
( meet(X_83,join(meet(X_83,join(C,X_83)),X_83)) != join(meet(X_83,join(C,X_83)),X_83)
| meet(meet(meet(X_83,join(C,X_83)),X_83),join(meet(X_83,join(C,X_83)),X_83)) = join(meet(X_83,join(C,X_83)),X_83) ),
inference(resolve,[$cnf( $equal(meet(meet(meet(X_83,join(C,X_83)),X_83),join(meet(X_83,join(C,X_83)),X_83)),meet(X_83,join(meet(X_83,join(C,X_83)),X_83))) )],[refute_0_522,refute_0_523]) ).
cnf(refute_0_525,plain,
meet(meet(meet(X_83,join(C,X_83)),X_83),join(meet(X_83,join(C,X_83)),X_83)) = join(meet(X_83,join(C,X_83)),X_83),
inference(resolve,[$cnf( $equal(meet(X_83,join(meet(X_83,join(C,X_83)),X_83)),join(meet(X_83,join(C,X_83)),X_83)) )],[refute_0_518,refute_0_524]) ).
cnf(refute_0_526,plain,
( X_83 != meet(meet(meet(X_83,join(C,X_83)),X_83),join(meet(X_83,join(C,X_83)),X_83))
| meet(meet(meet(X_83,join(C,X_83)),X_83),join(meet(X_83,join(C,X_83)),X_83)) != join(meet(X_83,join(C,X_83)),X_83)
| X_83 = join(meet(X_83,join(C,X_83)),X_83) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_83,join(meet(X_83,join(C,X_83)),X_83)) ),[0],$fot(meet(meet(meet(X_83,join(C,X_83)),X_83),join(meet(X_83,join(C,X_83)),X_83)))]]) ).
cnf(refute_0_527,plain,
( X_83 != meet(meet(meet(X_83,join(C,X_83)),X_83),join(meet(X_83,join(C,X_83)),X_83))
| X_83 = join(meet(X_83,join(C,X_83)),X_83) ),
inference(resolve,[$cnf( $equal(meet(meet(meet(X_83,join(C,X_83)),X_83),join(meet(X_83,join(C,X_83)),X_83)),join(meet(X_83,join(C,X_83)),X_83)) )],[refute_0_525,refute_0_526]) ).
cnf(refute_0_528,plain,
( meet(meet(X_83,join(C,X_83)),X_83) != meet(meet(meet(X_83,join(C,X_83)),X_83),join(meet(X_83,join(C,X_83)),X_83))
| X_83 = join(meet(X_83,join(C,X_83)),X_83) ),
inference(resolve,[$cnf( $equal(X_83,meet(meet(meet(X_83,join(C,X_83)),X_83),join(meet(X_83,join(C,X_83)),X_83))) )],[refute_0_504,refute_0_527]) ).
cnf(refute_0_529,plain,
X_83 = join(meet(X_83,join(C,X_83)),X_83),
inference(resolve,[$cnf( $equal(meet(meet(X_83,join(C,X_83)),X_83),meet(meet(meet(X_83,join(C,X_83)),X_83),join(meet(X_83,join(C,X_83)),X_83))) )],[refute_0_502,refute_0_528]) ).
cnf(refute_0_530,plain,
( X_83 != join(meet(X_83,join(C,X_83)),X_83)
| join(meet(X_83,join(C,X_83)),X_83) = X_83 ),
inference(subst,[],[refute_0_124:[bind(X,$fot(X_83)),bind(Y,$fot(join(meet(X_83,join(C,X_83)),X_83)))]]) ).
cnf(refute_0_531,plain,
join(meet(X_83,join(C,X_83)),X_83) = X_83,
inference(resolve,[$cnf( $equal(X_83,join(meet(X_83,join(C,X_83)),X_83)) )],[refute_0_529,refute_0_530]) ).
cnf(refute_0_532,plain,
join(meet(X_1,join(X_42,X_1)),X_1) = X_1,
inference(subst,[],[refute_0_531:[bind(C,$fot(X_42)),bind(X_83,$fot(X_1))]]) ).
cnf(refute_0_533,plain,
meet(meet(X_1,join(X_42,X_1)),join(meet(X_1,join(X_42,X_1)),X_1)) = meet(meet(X_1,join(X_42,X_1)),join(meet(X_1,join(X_42,X_1)),X_1)),
introduced(tautology,[refl,[$fot(meet(meet(X_1,join(X_42,X_1)),join(meet(X_1,join(X_42,X_1)),X_1)))]]) ).
cnf(refute_0_534,plain,
( join(meet(X_1,join(X_42,X_1)),X_1) != X_1
| meet(meet(X_1,join(X_42,X_1)),join(meet(X_1,join(X_42,X_1)),X_1)) != meet(meet(X_1,join(X_42,X_1)),join(meet(X_1,join(X_42,X_1)),X_1))
| meet(meet(X_1,join(X_42,X_1)),join(meet(X_1,join(X_42,X_1)),X_1)) = meet(meet(X_1,join(X_42,X_1)),X_1) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_1,join(X_42,X_1)),join(meet(X_1,join(X_42,X_1)),X_1)),meet(meet(X_1,join(X_42,X_1)),join(meet(X_1,join(X_42,X_1)),X_1))) ),[1,1],$fot(X_1)]]) ).
cnf(refute_0_535,plain,
( join(meet(X_1,join(X_42,X_1)),X_1) != X_1
| meet(meet(X_1,join(X_42,X_1)),join(meet(X_1,join(X_42,X_1)),X_1)) = meet(meet(X_1,join(X_42,X_1)),X_1) ),
inference(resolve,[$cnf( $equal(meet(meet(X_1,join(X_42,X_1)),join(meet(X_1,join(X_42,X_1)),X_1)),meet(meet(X_1,join(X_42,X_1)),join(meet(X_1,join(X_42,X_1)),X_1))) )],[refute_0_533,refute_0_534]) ).
cnf(refute_0_536,plain,
meet(meet(X_1,join(X_42,X_1)),join(meet(X_1,join(X_42,X_1)),X_1)) = meet(meet(X_1,join(X_42,X_1)),X_1),
inference(resolve,[$cnf( $equal(join(meet(X_1,join(X_42,X_1)),X_1),X_1) )],[refute_0_532,refute_0_535]) ).
cnf(refute_0_537,plain,
( meet(meet(X_1,join(X_42,X_1)),X_1) != X_1
| meet(meet(X_1,join(X_42,X_1)),join(meet(X_1,join(X_42,X_1)),X_1)) != meet(meet(X_1,join(X_42,X_1)),X_1)
| meet(meet(X_1,join(X_42,X_1)),join(meet(X_1,join(X_42,X_1)),X_1)) = X_1 ),
inference(subst,[],[refute_0_126:[bind(X,$fot(meet(meet(X_1,join(X_42,X_1)),join(meet(X_1,join(X_42,X_1)),X_1)))),bind(Y,$fot(meet(meet(X_1,join(X_42,X_1)),X_1))),bind(Z,$fot(X_1))]]) ).
cnf(refute_0_538,plain,
( meet(meet(X_1,join(X_42,X_1)),X_1) != X_1
| meet(meet(X_1,join(X_42,X_1)),join(meet(X_1,join(X_42,X_1)),X_1)) = X_1 ),
inference(resolve,[$cnf( $equal(meet(meet(X_1,join(X_42,X_1)),join(meet(X_1,join(X_42,X_1)),X_1)),meet(meet(X_1,join(X_42,X_1)),X_1)) )],[refute_0_536,refute_0_537]) ).
cnf(refute_0_539,plain,
meet(meet(X_1,join(X_42,X_1)),join(meet(X_1,join(X_42,X_1)),X_1)) = X_1,
inference(resolve,[$cnf( $equal(meet(meet(X_1,join(X_42,X_1)),X_1),X_1) )],[refute_0_404,refute_0_538]) ).
cnf(refute_0_540,plain,
meet(X_1,meet(meet(X_1,join(X_42,X_1)),join(meet(X_1,join(X_42,X_1)),X_1))) = meet(X_1,meet(meet(X_1,join(X_42,X_1)),join(meet(X_1,join(X_42,X_1)),X_1))),
introduced(tautology,[refl,[$fot(meet(X_1,meet(meet(X_1,join(X_42,X_1)),join(meet(X_1,join(X_42,X_1)),X_1))))]]) ).
cnf(refute_0_541,plain,
( meet(X_1,meet(meet(X_1,join(X_42,X_1)),join(meet(X_1,join(X_42,X_1)),X_1))) != meet(X_1,meet(meet(X_1,join(X_42,X_1)),join(meet(X_1,join(X_42,X_1)),X_1)))
| meet(meet(X_1,join(X_42,X_1)),join(meet(X_1,join(X_42,X_1)),X_1)) != X_1
| meet(X_1,meet(meet(X_1,join(X_42,X_1)),join(meet(X_1,join(X_42,X_1)),X_1))) = meet(X_1,X_1) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_1,meet(meet(X_1,join(X_42,X_1)),join(meet(X_1,join(X_42,X_1)),X_1))),meet(X_1,meet(meet(X_1,join(X_42,X_1)),join(meet(X_1,join(X_42,X_1)),X_1)))) ),[1,1],$fot(X_1)]]) ).
cnf(refute_0_542,plain,
( meet(meet(X_1,join(X_42,X_1)),join(meet(X_1,join(X_42,X_1)),X_1)) != X_1
| meet(X_1,meet(meet(X_1,join(X_42,X_1)),join(meet(X_1,join(X_42,X_1)),X_1))) = meet(X_1,X_1) ),
inference(resolve,[$cnf( $equal(meet(X_1,meet(meet(X_1,join(X_42,X_1)),join(meet(X_1,join(X_42,X_1)),X_1))),meet(X_1,meet(meet(X_1,join(X_42,X_1)),join(meet(X_1,join(X_42,X_1)),X_1)))) )],[refute_0_540,refute_0_541]) ).
cnf(refute_0_543,plain,
meet(X_1,meet(meet(X_1,join(X_42,X_1)),join(meet(X_1,join(X_42,X_1)),X_1))) = meet(X_1,X_1),
inference(resolve,[$cnf( $equal(meet(meet(X_1,join(X_42,X_1)),join(meet(X_1,join(X_42,X_1)),X_1)),X_1) )],[refute_0_539,refute_0_542]) ).
cnf(refute_0_544,plain,
( meet(X_1,X_1) != X_1
| meet(X_1,meet(meet(X_1,join(X_42,X_1)),join(meet(X_1,join(X_42,X_1)),X_1))) != meet(X_1,X_1)
| meet(X_1,meet(meet(X_1,join(X_42,X_1)),join(meet(X_1,join(X_42,X_1)),X_1))) = X_1 ),
inference(subst,[],[refute_0_126:[bind(X,$fot(meet(X_1,meet(meet(X_1,join(X_42,X_1)),join(meet(X_1,join(X_42,X_1)),X_1))))),bind(Y,$fot(meet(X_1,X_1))),bind(Z,$fot(X_1))]]) ).
cnf(refute_0_545,plain,
( meet(X_1,X_1) != X_1
| meet(X_1,meet(meet(X_1,join(X_42,X_1)),join(meet(X_1,join(X_42,X_1)),X_1))) = X_1 ),
inference(resolve,[$cnf( $equal(meet(X_1,meet(meet(X_1,join(X_42,X_1)),join(meet(X_1,join(X_42,X_1)),X_1))),meet(X_1,X_1)) )],[refute_0_543,refute_0_544]) ).
cnf(refute_0_546,plain,
meet(X_1,meet(meet(X_1,join(X_42,X_1)),join(meet(X_1,join(X_42,X_1)),X_1))) = X_1,
inference(resolve,[$cnf( $equal(meet(X_1,X_1),X_1) )],[refute_0_430,refute_0_545]) ).
cnf(refute_0_547,plain,
join(meet(X_1,meet(meet(X_1,join(X_42,X_1)),join(meet(X_1,join(X_42,X_1)),X_1))),meet(X_1,join(X_42,X_1))) = join(meet(X_1,meet(meet(X_1,join(X_42,X_1)),join(meet(X_1,join(X_42,X_1)),X_1))),meet(X_1,join(X_42,X_1))),
introduced(tautology,[refl,[$fot(join(meet(X_1,meet(meet(X_1,join(X_42,X_1)),join(meet(X_1,join(X_42,X_1)),X_1))),meet(X_1,join(X_42,X_1))))]]) ).
cnf(refute_0_548,plain,
( join(meet(X_1,meet(meet(X_1,join(X_42,X_1)),join(meet(X_1,join(X_42,X_1)),X_1))),meet(X_1,join(X_42,X_1))) != join(meet(X_1,meet(meet(X_1,join(X_42,X_1)),join(meet(X_1,join(X_42,X_1)),X_1))),meet(X_1,join(X_42,X_1)))
| meet(X_1,meet(meet(X_1,join(X_42,X_1)),join(meet(X_1,join(X_42,X_1)),X_1))) != X_1
| join(meet(X_1,meet(meet(X_1,join(X_42,X_1)),join(meet(X_1,join(X_42,X_1)),X_1))),meet(X_1,join(X_42,X_1))) = join(X_1,meet(X_1,join(X_42,X_1))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_1,meet(meet(X_1,join(X_42,X_1)),join(meet(X_1,join(X_42,X_1)),X_1))),meet(X_1,join(X_42,X_1))),join(meet(X_1,meet(meet(X_1,join(X_42,X_1)),join(meet(X_1,join(X_42,X_1)),X_1))),meet(X_1,join(X_42,X_1)))) ),[1,0],$fot(X_1)]]) ).
cnf(refute_0_549,plain,
( meet(X_1,meet(meet(X_1,join(X_42,X_1)),join(meet(X_1,join(X_42,X_1)),X_1))) != X_1
| join(meet(X_1,meet(meet(X_1,join(X_42,X_1)),join(meet(X_1,join(X_42,X_1)),X_1))),meet(X_1,join(X_42,X_1))) = join(X_1,meet(X_1,join(X_42,X_1))) ),
inference(resolve,[$cnf( $equal(join(meet(X_1,meet(meet(X_1,join(X_42,X_1)),join(meet(X_1,join(X_42,X_1)),X_1))),meet(X_1,join(X_42,X_1))),join(meet(X_1,meet(meet(X_1,join(X_42,X_1)),join(meet(X_1,join(X_42,X_1)),X_1))),meet(X_1,join(X_42,X_1)))) )],[refute_0_547,refute_0_548]) ).
cnf(refute_0_550,plain,
join(meet(X_1,meet(meet(X_1,join(X_42,X_1)),join(meet(X_1,join(X_42,X_1)),X_1))),meet(X_1,join(X_42,X_1))) = join(X_1,meet(X_1,join(X_42,X_1))),
inference(resolve,[$cnf( $equal(meet(X_1,meet(meet(X_1,join(X_42,X_1)),join(meet(X_1,join(X_42,X_1)),X_1))),X_1) )],[refute_0_546,refute_0_549]) ).
cnf(refute_0_551,plain,
( join(meet(X_1,meet(meet(X_1,join(X_42,X_1)),join(meet(X_1,join(X_42,X_1)),X_1))),meet(X_1,join(X_42,X_1))) != X_1
| join(meet(X_1,meet(meet(X_1,join(X_42,X_1)),join(meet(X_1,join(X_42,X_1)),X_1))),meet(X_1,join(X_42,X_1))) != join(X_1,meet(X_1,join(X_42,X_1)))
| join(X_1,meet(X_1,join(X_42,X_1))) = X_1 ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_1,meet(meet(X_1,join(X_42,X_1)),join(meet(X_1,join(X_42,X_1)),X_1))),meet(X_1,join(X_42,X_1))),X_1) ),[0],$fot(join(X_1,meet(X_1,join(X_42,X_1))))]]) ).
cnf(refute_0_552,plain,
( join(meet(X_1,meet(meet(X_1,join(X_42,X_1)),join(meet(X_1,join(X_42,X_1)),X_1))),meet(X_1,join(X_42,X_1))) != X_1
| join(X_1,meet(X_1,join(X_42,X_1))) = X_1 ),
inference(resolve,[$cnf( $equal(join(meet(X_1,meet(meet(X_1,join(X_42,X_1)),join(meet(X_1,join(X_42,X_1)),X_1))),meet(X_1,join(X_42,X_1))),join(X_1,meet(X_1,join(X_42,X_1)))) )],[refute_0_550,refute_0_551]) ).
cnf(refute_0_553,plain,
join(X_1,meet(X_1,join(X_42,X_1))) = X_1,
inference(resolve,[$cnf( $equal(join(meet(X_1,meet(meet(X_1,join(X_42,X_1)),join(meet(X_1,join(X_42,X_1)),X_1))),meet(X_1,join(X_42,X_1))),X_1) )],[refute_0_429,refute_0_552]) ).
cnf(refute_0_554,plain,
join(X_13,meet(X_13,join(X_42,X_13))) = X_13,
inference(subst,[],[refute_0_553:[bind(X_1,$fot(X_13))]]) ).
cnf(refute_0_555,plain,
join(join(X_13,meet(X_13,join(X_42,X_13))),meet(X_13,join(X_42,X_13))) = join(join(X_13,meet(X_13,join(X_42,X_13))),meet(X_13,join(X_42,X_13))),
introduced(tautology,[refl,[$fot(join(join(X_13,meet(X_13,join(X_42,X_13))),meet(X_13,join(X_42,X_13))))]]) ).
cnf(refute_0_556,plain,
( join(X_13,meet(X_13,join(X_42,X_13))) != X_13
| join(join(X_13,meet(X_13,join(X_42,X_13))),meet(X_13,join(X_42,X_13))) != join(join(X_13,meet(X_13,join(X_42,X_13))),meet(X_13,join(X_42,X_13)))
| join(join(X_13,meet(X_13,join(X_42,X_13))),meet(X_13,join(X_42,X_13))) = join(X_13,meet(X_13,join(X_42,X_13))) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(X_13,meet(X_13,join(X_42,X_13))),meet(X_13,join(X_42,X_13))),join(join(X_13,meet(X_13,join(X_42,X_13))),meet(X_13,join(X_42,X_13)))) ),[1,0],$fot(X_13)]]) ).
cnf(refute_0_557,plain,
( join(X_13,meet(X_13,join(X_42,X_13))) != X_13
| join(join(X_13,meet(X_13,join(X_42,X_13))),meet(X_13,join(X_42,X_13))) = join(X_13,meet(X_13,join(X_42,X_13))) ),
inference(resolve,[$cnf( $equal(join(join(X_13,meet(X_13,join(X_42,X_13))),meet(X_13,join(X_42,X_13))),join(join(X_13,meet(X_13,join(X_42,X_13))),meet(X_13,join(X_42,X_13)))) )],[refute_0_555,refute_0_556]) ).
cnf(refute_0_558,plain,
join(join(X_13,meet(X_13,join(X_42,X_13))),meet(X_13,join(X_42,X_13))) = join(X_13,meet(X_13,join(X_42,X_13))),
inference(resolve,[$cnf( $equal(join(X_13,meet(X_13,join(X_42,X_13))),X_13) )],[refute_0_554,refute_0_557]) ).
cnf(refute_0_559,plain,
( join(X_13,meet(X_13,join(X_42,X_13))) != X_13
| join(join(X_13,meet(X_13,join(X_42,X_13))),meet(X_13,join(X_42,X_13))) != join(X_13,meet(X_13,join(X_42,X_13)))
| join(join(X_13,meet(X_13,join(X_42,X_13))),meet(X_13,join(X_42,X_13))) = X_13 ),
inference(subst,[],[refute_0_126:[bind(X,$fot(join(join(X_13,meet(X_13,join(X_42,X_13))),meet(X_13,join(X_42,X_13))))),bind(Y,$fot(join(X_13,meet(X_13,join(X_42,X_13))))),bind(Z,$fot(X_13))]]) ).
cnf(refute_0_560,plain,
( join(X_13,meet(X_13,join(X_42,X_13))) != X_13
| join(join(X_13,meet(X_13,join(X_42,X_13))),meet(X_13,join(X_42,X_13))) = X_13 ),
inference(resolve,[$cnf( $equal(join(join(X_13,meet(X_13,join(X_42,X_13))),meet(X_13,join(X_42,X_13))),join(X_13,meet(X_13,join(X_42,X_13)))) )],[refute_0_558,refute_0_559]) ).
cnf(refute_0_561,plain,
join(join(X_13,meet(X_13,join(X_42,X_13))),meet(X_13,join(X_42,X_13))) = X_13,
inference(resolve,[$cnf( $equal(join(X_13,meet(X_13,join(X_42,X_13))),X_13) )],[refute_0_554,refute_0_560]) ).
cnf(refute_0_562,plain,
( join(join(X_13,meet(X_13,join(X_42,X_13))),meet(X_13,join(X_42,X_13))) != X_13
| join(join(X_13,meet(X_13,join(X_42,X_13))),meet(X_13,join(X_42,X_13))) != meet(X_13,join(X_42,X_13))
| X_13 = meet(X_13,join(X_42,X_13)) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(X_13,meet(X_13,join(X_42,X_13))),meet(X_13,join(X_42,X_13))),meet(X_13,join(X_42,X_13))) ),[0],$fot(X_13)]]) ).
cnf(refute_0_563,plain,
( join(join(X_13,meet(X_13,join(X_42,X_13))),meet(X_13,join(X_42,X_13))) != meet(X_13,join(X_42,X_13))
| X_13 = meet(X_13,join(X_42,X_13)) ),
inference(resolve,[$cnf( $equal(join(join(X_13,meet(X_13,join(X_42,X_13))),meet(X_13,join(X_42,X_13))),X_13) )],[refute_0_561,refute_0_562]) ).
cnf(refute_0_564,plain,
X_13 = meet(X_13,join(X_42,X_13)),
inference(resolve,[$cnf( $equal(join(join(X_13,meet(X_13,join(X_42,X_13))),meet(X_13,join(X_42,X_13))),meet(X_13,join(X_42,X_13))) )],[refute_0_402,refute_0_563]) ).
cnf(refute_0_565,plain,
( X_13 != meet(X_13,join(X_42,X_13))
| meet(X_13,join(X_42,X_13)) = X_13 ),
inference(subst,[],[refute_0_124:[bind(X,$fot(X_13)),bind(Y,$fot(meet(X_13,join(X_42,X_13))))]]) ).
cnf(refute_0_566,plain,
meet(X_13,join(X_42,X_13)) = X_13,
inference(resolve,[$cnf( $equal(X_13,meet(X_13,join(X_42,X_13))) )],[refute_0_564,refute_0_565]) ).
cnf(refute_0_567,plain,
meet(X_44,join(A,X_44)) = X_44,
inference(subst,[],[refute_0_566:[bind(X_13,$fot(X_44)),bind(X_42,$fot(A))]]) ).
cnf(refute_0_568,plain,
meet(meet(join(A,X_44),X_44),meet(X_44,join(A,X_44))) = meet(meet(join(A,X_44),X_44),meet(X_44,join(A,X_44))),
introduced(tautology,[refl,[$fot(meet(meet(join(A,X_44),X_44),meet(X_44,join(A,X_44))))]]) ).
cnf(refute_0_569,plain,
( meet(X_44,join(A,X_44)) != X_44
| meet(meet(join(A,X_44),X_44),meet(X_44,join(A,X_44))) != meet(meet(join(A,X_44),X_44),meet(X_44,join(A,X_44)))
| meet(meet(join(A,X_44),X_44),meet(X_44,join(A,X_44))) = meet(meet(join(A,X_44),X_44),X_44) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(join(A,X_44),X_44),meet(X_44,join(A,X_44))),meet(meet(join(A,X_44),X_44),meet(X_44,join(A,X_44)))) ),[1,1],$fot(X_44)]]) ).
cnf(refute_0_570,plain,
( meet(X_44,join(A,X_44)) != X_44
| meet(meet(join(A,X_44),X_44),meet(X_44,join(A,X_44))) = meet(meet(join(A,X_44),X_44),X_44) ),
inference(resolve,[$cnf( $equal(meet(meet(join(A,X_44),X_44),meet(X_44,join(A,X_44))),meet(meet(join(A,X_44),X_44),meet(X_44,join(A,X_44)))) )],[refute_0_568,refute_0_569]) ).
cnf(refute_0_571,plain,
meet(meet(join(A,X_44),X_44),meet(X_44,join(A,X_44))) = meet(meet(join(A,X_44),X_44),X_44),
inference(resolve,[$cnf( $equal(meet(X_44,join(A,X_44)),X_44) )],[refute_0_567,refute_0_570]) ).
cnf(refute_0_572,plain,
( meet(meet(join(A,X_44),X_44),X_44) != meet(join(A,X_44),X_44)
| meet(meet(join(A,X_44),X_44),meet(X_44,join(A,X_44))) != meet(meet(join(A,X_44),X_44),X_44)
| meet(meet(join(A,X_44),X_44),meet(X_44,join(A,X_44))) = meet(join(A,X_44),X_44) ),
inference(subst,[],[refute_0_126:[bind(X,$fot(meet(meet(join(A,X_44),X_44),meet(X_44,join(A,X_44))))),bind(Y,$fot(meet(meet(join(A,X_44),X_44),X_44))),bind(Z,$fot(meet(join(A,X_44),X_44)))]]) ).
cnf(refute_0_573,plain,
( meet(meet(join(A,X_44),X_44),X_44) != meet(join(A,X_44),X_44)
| meet(meet(join(A,X_44),X_44),meet(X_44,join(A,X_44))) = meet(join(A,X_44),X_44) ),
inference(resolve,[$cnf( $equal(meet(meet(join(A,X_44),X_44),meet(X_44,join(A,X_44))),meet(meet(join(A,X_44),X_44),X_44)) )],[refute_0_571,refute_0_572]) ).
cnf(refute_0_574,plain,
meet(meet(join(A,X_44),X_44),meet(X_44,join(A,X_44))) = meet(join(A,X_44),X_44),
inference(resolve,[$cnf( $equal(meet(meet(join(A,X_44),X_44),X_44),meet(join(A,X_44),X_44)) )],[refute_0_392,refute_0_573]) ).
cnf(refute_0_575,plain,
( meet(meet(join(A,X_44),X_44),meet(X_44,join(A,X_44))) != meet(X_44,join(A,X_44))
| meet(meet(join(A,X_44),X_44),meet(X_44,join(A,X_44))) != meet(join(A,X_44),X_44)
| meet(join(A,X_44),X_44) = meet(X_44,join(A,X_44)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(join(A,X_44),X_44),meet(X_44,join(A,X_44))),meet(X_44,join(A,X_44))) ),[0],$fot(meet(join(A,X_44),X_44))]]) ).
cnf(refute_0_576,plain,
( meet(meet(join(A,X_44),X_44),meet(X_44,join(A,X_44))) != meet(X_44,join(A,X_44))
| meet(join(A,X_44),X_44) = meet(X_44,join(A,X_44)) ),
inference(resolve,[$cnf( $equal(meet(meet(join(A,X_44),X_44),meet(X_44,join(A,X_44))),meet(join(A,X_44),X_44)) )],[refute_0_574,refute_0_575]) ).
cnf(refute_0_577,plain,
( meet(X_44,join(A,X_44)) != X_44
| meet(join(A,X_44),X_44) != meet(X_44,join(A,X_44))
| meet(join(A,X_44),X_44) = X_44 ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(A,X_44),X_44),meet(X_44,join(A,X_44))) ),[1],$fot(X_44)]]) ).
cnf(refute_0_578,plain,
( meet(join(A,X_44),X_44) != meet(X_44,join(A,X_44))
| meet(join(A,X_44),X_44) = X_44 ),
inference(resolve,[$cnf( $equal(meet(X_44,join(A,X_44)),X_44) )],[refute_0_567,refute_0_577]) ).
cnf(refute_0_579,plain,
( meet(meet(join(A,X_44),X_44),meet(X_44,join(A,X_44))) != meet(X_44,join(A,X_44))
| meet(join(A,X_44),X_44) = X_44 ),
inference(resolve,[$cnf( $equal(meet(join(A,X_44),X_44),meet(X_44,join(A,X_44))) )],[refute_0_576,refute_0_578]) ).
cnf(refute_0_580,plain,
meet(join(A,X_44),X_44) = X_44,
inference(resolve,[$cnf( $equal(meet(meet(join(A,X_44),X_44),meet(X_44,join(A,X_44))),meet(X_44,join(A,X_44))) )],[refute_0_9,refute_0_579]) ).
cnf(refute_0_581,plain,
meet(join(X_85,B),B) = B,
inference(subst,[],[refute_0_580:[bind(A,$fot(X_85)),bind(X_44,$fot(B))]]) ).
cnf(refute_0_582,plain,
( join(join(meet(join(X_85,B),B),meet(C,join(X_85,B))),join(X_85,B)) != join(X_85,B)
| meet(join(X_85,B),B) != B
| join(join(B,meet(C,join(X_85,B))),join(X_85,B)) = join(X_85,B) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(meet(join(X_85,B),B),meet(C,join(X_85,B))),join(X_85,B)),join(X_85,B)) ),[0,0,0],$fot(B)]]) ).
cnf(refute_0_583,plain,
( join(join(meet(join(X_85,B),B),meet(C,join(X_85,B))),join(X_85,B)) != join(X_85,B)
| join(join(B,meet(C,join(X_85,B))),join(X_85,B)) = join(X_85,B) ),
inference(resolve,[$cnf( $equal(meet(join(X_85,B),B),B) )],[refute_0_581,refute_0_582]) ).
cnf(refute_0_584,plain,
join(join(B,meet(C,join(X_85,B))),join(X_85,B)) = join(X_85,B),
inference(resolve,[$cnf( $equal(join(join(meet(join(X_85,B),B),meet(C,join(X_85,B))),join(X_85,B)),join(X_85,B)) )],[refute_0_0,refute_0_583]) ).
cnf(refute_0_585,plain,
join(join(X_167,meet(X_169,join(X_169,X_167))),join(X_169,X_167)) = join(X_169,X_167),
inference(subst,[],[refute_0_584:[bind(B,$fot(X_167)),bind(C,$fot(X_169)),bind(X_85,$fot(X_169))]]) ).
cnf(refute_0_586,plain,
join(meet(A,join(A,X_92)),meet(A,join(A,join(A,X_92)))) = A,
inference(subst,[],[wal_absorbtion_1:[bind(B,$fot(join(A,X_92)))]]) ).
cnf(refute_0_587,plain,
join(join(meet(meet(join(X_18,B),X_18),X_18),meet(join(X_18,B),X_18)),meet(join(X_18,B),X_18)) = meet(join(X_18,B),X_18),
inference(subst,[],[refute_0_397:[bind(X_12,$fot(meet(join(X_18,B),X_18))),bind(X_13,$fot(X_18))]]) ).
cnf(refute_0_588,plain,
meet(meet(join(X_18,B),X_18),X_18) = X_18,
inference(subst,[],[refute_0_43:[bind(A,$fot(X_18))]]) ).
cnf(refute_0_589,plain,
( join(join(meet(meet(join(X_18,B),X_18),X_18),meet(join(X_18,B),X_18)),meet(join(X_18,B),X_18)) != meet(join(X_18,B),X_18)
| meet(meet(join(X_18,B),X_18),X_18) != X_18
| join(join(X_18,meet(join(X_18,B),X_18)),meet(join(X_18,B),X_18)) = meet(join(X_18,B),X_18) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(meet(meet(join(X_18,B),X_18),X_18),meet(join(X_18,B),X_18)),meet(join(X_18,B),X_18)),meet(join(X_18,B),X_18)) ),[0,0,0],$fot(X_18)]]) ).
cnf(refute_0_590,plain,
( join(join(meet(meet(join(X_18,B),X_18),X_18),meet(join(X_18,B),X_18)),meet(join(X_18,B),X_18)) != meet(join(X_18,B),X_18)
| join(join(X_18,meet(join(X_18,B),X_18)),meet(join(X_18,B),X_18)) = meet(join(X_18,B),X_18) ),
inference(resolve,[$cnf( $equal(meet(meet(join(X_18,B),X_18),X_18),X_18) )],[refute_0_588,refute_0_589]) ).
cnf(refute_0_591,plain,
join(join(X_18,meet(join(X_18,B),X_18)),meet(join(X_18,B),X_18)) = meet(join(X_18,B),X_18),
inference(resolve,[$cnf( $equal(join(join(meet(meet(join(X_18,B),X_18),X_18),meet(join(X_18,B),X_18)),meet(join(X_18,B),X_18)),meet(join(X_18,B),X_18)) )],[refute_0_587,refute_0_590]) ).
cnf(refute_0_592,plain,
join(meet(A,A),meet(B,join(A,A))) = join(meet(A,A),meet(B,join(A,A))),
introduced(tautology,[refl,[$fot(join(meet(A,A),meet(B,join(A,A))))]]) ).
cnf(refute_0_593,plain,
( join(meet(A,A),meet(B,join(A,A))) != join(meet(A,A),meet(B,join(A,A)))
| meet(B,join(A,A)) != meet(B,A)
| join(meet(A,A),meet(B,join(A,A))) = join(meet(A,A),meet(B,A)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(A,A),meet(B,join(A,A))),join(meet(A,A),meet(B,join(A,A)))) ),[1,1],$fot(meet(B,A))]]) ).
cnf(refute_0_594,plain,
( meet(B,join(A,A)) != meet(B,A)
| join(meet(A,A),meet(B,join(A,A))) = join(meet(A,A),meet(B,A)) ),
inference(resolve,[$cnf( $equal(join(meet(A,A),meet(B,join(A,A))),join(meet(A,A),meet(B,join(A,A)))) )],[refute_0_592,refute_0_593]) ).
cnf(refute_0_595,plain,
join(meet(A,A),meet(B,join(A,A))) = join(meet(A,A),meet(B,A)),
inference(resolve,[$cnf( $equal(meet(B,join(A,A)),meet(B,A)) )],[refute_0_157,refute_0_594]) ).
cnf(refute_0_596,plain,
( join(meet(A,A),meet(B,join(A,A))) != A
| join(meet(A,A),meet(B,join(A,A))) != join(meet(A,A),meet(B,A))
| join(meet(A,A),meet(B,A)) = A ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(A,A),meet(B,join(A,A))),A) ),[0],$fot(join(meet(A,A),meet(B,A)))]]) ).
cnf(refute_0_597,plain,
( join(meet(A,A),meet(B,join(A,A))) != A
| join(meet(A,A),meet(B,A)) = A ),
inference(resolve,[$cnf( $equal(join(meet(A,A),meet(B,join(A,A))),join(meet(A,A),meet(B,A))) )],[refute_0_595,refute_0_596]) ).
cnf(refute_0_598,plain,
join(meet(A,A),meet(B,A)) = A,
inference(resolve,[$cnf( $equal(join(meet(A,A),meet(B,join(A,A))),A) )],[wal_absorbtion_2,refute_0_597]) ).
cnf(refute_0_599,plain,
join(meet(A,A),meet(B,A)) = join(meet(A,A),meet(B,A)),
introduced(tautology,[refl,[$fot(join(meet(A,A),meet(B,A)))]]) ).
cnf(refute_0_600,plain,
( join(meet(A,A),meet(B,A)) != join(meet(A,A),meet(B,A))
| meet(A,A) != A
| join(meet(A,A),meet(B,A)) = join(A,meet(B,A)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(A,A),meet(B,A)),join(meet(A,A),meet(B,A))) ),[1,0],$fot(A)]]) ).
cnf(refute_0_601,plain,
( meet(A,A) != A
| join(meet(A,A),meet(B,A)) = join(A,meet(B,A)) ),
inference(resolve,[$cnf( $equal(join(meet(A,A),meet(B,A)),join(meet(A,A),meet(B,A))) )],[refute_0_599,refute_0_600]) ).
cnf(refute_0_602,plain,
join(meet(A,A),meet(B,A)) = join(A,meet(B,A)),
inference(resolve,[$cnf( $equal(meet(A,A),A) )],[refute_0_255,refute_0_601]) ).
cnf(refute_0_603,plain,
( join(meet(A,A),meet(B,A)) != A
| join(meet(A,A),meet(B,A)) != join(A,meet(B,A))
| join(A,meet(B,A)) = A ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(A,A),meet(B,A)),A) ),[0],$fot(join(A,meet(B,A)))]]) ).
cnf(refute_0_604,plain,
( join(meet(A,A),meet(B,A)) != A
| join(A,meet(B,A)) = A ),
inference(resolve,[$cnf( $equal(join(meet(A,A),meet(B,A)),join(A,meet(B,A))) )],[refute_0_602,refute_0_603]) ).
cnf(refute_0_605,plain,
join(A,meet(B,A)) = A,
inference(resolve,[$cnf( $equal(join(meet(A,A),meet(B,A)),A) )],[refute_0_598,refute_0_604]) ).
cnf(refute_0_606,plain,
join(X_18,meet(join(X_18,B),X_18)) = X_18,
inference(subst,[],[refute_0_605:[bind(A,$fot(X_18)),bind(B,$fot(join(X_18,B)))]]) ).
cnf(refute_0_607,plain,
join(join(X_18,meet(join(X_18,B),X_18)),meet(join(X_18,B),X_18)) = join(join(X_18,meet(join(X_18,B),X_18)),meet(join(X_18,B),X_18)),
introduced(tautology,[refl,[$fot(join(join(X_18,meet(join(X_18,B),X_18)),meet(join(X_18,B),X_18)))]]) ).
cnf(refute_0_608,plain,
( join(X_18,meet(join(X_18,B),X_18)) != X_18
| join(join(X_18,meet(join(X_18,B),X_18)),meet(join(X_18,B),X_18)) != join(join(X_18,meet(join(X_18,B),X_18)),meet(join(X_18,B),X_18))
| join(join(X_18,meet(join(X_18,B),X_18)),meet(join(X_18,B),X_18)) = join(X_18,meet(join(X_18,B),X_18)) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(X_18,meet(join(X_18,B),X_18)),meet(join(X_18,B),X_18)),join(join(X_18,meet(join(X_18,B),X_18)),meet(join(X_18,B),X_18))) ),[1,0],$fot(X_18)]]) ).
cnf(refute_0_609,plain,
( join(X_18,meet(join(X_18,B),X_18)) != X_18
| join(join(X_18,meet(join(X_18,B),X_18)),meet(join(X_18,B),X_18)) = join(X_18,meet(join(X_18,B),X_18)) ),
inference(resolve,[$cnf( $equal(join(join(X_18,meet(join(X_18,B),X_18)),meet(join(X_18,B),X_18)),join(join(X_18,meet(join(X_18,B),X_18)),meet(join(X_18,B),X_18))) )],[refute_0_607,refute_0_608]) ).
cnf(refute_0_610,plain,
join(join(X_18,meet(join(X_18,B),X_18)),meet(join(X_18,B),X_18)) = join(X_18,meet(join(X_18,B),X_18)),
inference(resolve,[$cnf( $equal(join(X_18,meet(join(X_18,B),X_18)),X_18) )],[refute_0_606,refute_0_609]) ).
cnf(refute_0_611,plain,
( join(X_18,meet(join(X_18,B),X_18)) != X_18
| join(join(X_18,meet(join(X_18,B),X_18)),meet(join(X_18,B),X_18)) != join(X_18,meet(join(X_18,B),X_18))
| join(join(X_18,meet(join(X_18,B),X_18)),meet(join(X_18,B),X_18)) = X_18 ),
inference(subst,[],[refute_0_126:[bind(X,$fot(join(join(X_18,meet(join(X_18,B),X_18)),meet(join(X_18,B),X_18)))),bind(Y,$fot(join(X_18,meet(join(X_18,B),X_18)))),bind(Z,$fot(X_18))]]) ).
cnf(refute_0_612,plain,
( join(X_18,meet(join(X_18,B),X_18)) != X_18
| join(join(X_18,meet(join(X_18,B),X_18)),meet(join(X_18,B),X_18)) = X_18 ),
inference(resolve,[$cnf( $equal(join(join(X_18,meet(join(X_18,B),X_18)),meet(join(X_18,B),X_18)),join(X_18,meet(join(X_18,B),X_18))) )],[refute_0_610,refute_0_611]) ).
cnf(refute_0_613,plain,
join(join(X_18,meet(join(X_18,B),X_18)),meet(join(X_18,B),X_18)) = X_18,
inference(resolve,[$cnf( $equal(join(X_18,meet(join(X_18,B),X_18)),X_18) )],[refute_0_606,refute_0_612]) ).
cnf(refute_0_614,plain,
( join(join(X_18,meet(join(X_18,B),X_18)),meet(join(X_18,B),X_18)) != X_18
| join(join(X_18,meet(join(X_18,B),X_18)),meet(join(X_18,B),X_18)) != meet(join(X_18,B),X_18)
| X_18 = meet(join(X_18,B),X_18) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(X_18,meet(join(X_18,B),X_18)),meet(join(X_18,B),X_18)),meet(join(X_18,B),X_18)) ),[0],$fot(X_18)]]) ).
cnf(refute_0_615,plain,
( join(join(X_18,meet(join(X_18,B),X_18)),meet(join(X_18,B),X_18)) != meet(join(X_18,B),X_18)
| X_18 = meet(join(X_18,B),X_18) ),
inference(resolve,[$cnf( $equal(join(join(X_18,meet(join(X_18,B),X_18)),meet(join(X_18,B),X_18)),X_18) )],[refute_0_613,refute_0_614]) ).
cnf(refute_0_616,plain,
X_18 = meet(join(X_18,B),X_18),
inference(resolve,[$cnf( $equal(join(join(X_18,meet(join(X_18,B),X_18)),meet(join(X_18,B),X_18)),meet(join(X_18,B),X_18)) )],[refute_0_591,refute_0_615]) ).
cnf(refute_0_617,plain,
join(X_58,join(X_58,X_59)) = meet(join(join(X_58,join(X_58,X_59)),join(X_58,X_59)),join(X_58,join(X_58,X_59))),
inference(subst,[],[refute_0_616:[bind(B,$fot(join(X_58,X_59))),bind(X_18,$fot(join(X_58,join(X_58,X_59))))]]) ).
cnf(refute_0_618,plain,
join(join(meet(join(X_13,X_56),X_13),join(X_13,X_56)),join(X_13,X_56)) = join(X_13,X_56),
inference(subst,[],[refute_0_397:[bind(X_12,$fot(join(X_13,X_56)))]]) ).
cnf(refute_0_619,plain,
X_13 = meet(join(X_13,X_56),X_13),
inference(subst,[],[refute_0_616:[bind(B,$fot(X_56)),bind(X_18,$fot(X_13))]]) ).
cnf(refute_0_620,plain,
( X_13 != meet(join(X_13,X_56),X_13)
| meet(join(X_13,X_56),X_13) = X_13 ),
inference(subst,[],[refute_0_124:[bind(X,$fot(X_13)),bind(Y,$fot(meet(join(X_13,X_56),X_13)))]]) ).
cnf(refute_0_621,plain,
meet(join(X_13,X_56),X_13) = X_13,
inference(resolve,[$cnf( $equal(X_13,meet(join(X_13,X_56),X_13)) )],[refute_0_619,refute_0_620]) ).
cnf(refute_0_622,plain,
( join(join(meet(join(X_13,X_56),X_13),join(X_13,X_56)),join(X_13,X_56)) != join(X_13,X_56)
| meet(join(X_13,X_56),X_13) != X_13
| join(join(X_13,join(X_13,X_56)),join(X_13,X_56)) = join(X_13,X_56) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(meet(join(X_13,X_56),X_13),join(X_13,X_56)),join(X_13,X_56)),join(X_13,X_56)) ),[0,0,0],$fot(X_13)]]) ).
cnf(refute_0_623,plain,
( join(join(meet(join(X_13,X_56),X_13),join(X_13,X_56)),join(X_13,X_56)) != join(X_13,X_56)
| join(join(X_13,join(X_13,X_56)),join(X_13,X_56)) = join(X_13,X_56) ),
inference(resolve,[$cnf( $equal(meet(join(X_13,X_56),X_13),X_13) )],[refute_0_621,refute_0_622]) ).
cnf(refute_0_624,plain,
join(join(X_13,join(X_13,X_56)),join(X_13,X_56)) = join(X_13,X_56),
inference(resolve,[$cnf( $equal(join(join(meet(join(X_13,X_56),X_13),join(X_13,X_56)),join(X_13,X_56)),join(X_13,X_56)) )],[refute_0_618,refute_0_623]) ).
cnf(refute_0_625,plain,
join(join(X_58,join(X_58,X_59)),join(X_58,X_59)) = join(X_58,X_59),
inference(subst,[],[refute_0_624:[bind(X_13,$fot(X_58)),bind(X_56,$fot(X_59))]]) ).
cnf(refute_0_626,plain,
( join(X_58,join(X_58,X_59)) != meet(join(join(X_58,join(X_58,X_59)),join(X_58,X_59)),join(X_58,join(X_58,X_59)))
| join(join(X_58,join(X_58,X_59)),join(X_58,X_59)) != join(X_58,X_59)
| join(X_58,join(X_58,X_59)) = meet(join(X_58,X_59),join(X_58,join(X_58,X_59))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_58,join(X_58,X_59)),meet(join(join(X_58,join(X_58,X_59)),join(X_58,X_59)),join(X_58,join(X_58,X_59)))) ),[1,0],$fot(join(X_58,X_59))]]) ).
cnf(refute_0_627,plain,
( join(X_58,join(X_58,X_59)) != meet(join(join(X_58,join(X_58,X_59)),join(X_58,X_59)),join(X_58,join(X_58,X_59)))
| join(X_58,join(X_58,X_59)) = meet(join(X_58,X_59),join(X_58,join(X_58,X_59))) ),
inference(resolve,[$cnf( $equal(join(join(X_58,join(X_58,X_59)),join(X_58,X_59)),join(X_58,X_59)) )],[refute_0_625,refute_0_626]) ).
cnf(refute_0_628,plain,
join(X_58,join(X_58,X_59)) = meet(join(X_58,X_59),join(X_58,join(X_58,X_59))),
inference(resolve,[$cnf( $equal(join(X_58,join(X_58,X_59)),meet(join(join(X_58,join(X_58,X_59)),join(X_58,X_59)),join(X_58,join(X_58,X_59)))) )],[refute_0_617,refute_0_627]) ).
cnf(refute_0_629,plain,
meet(join(X_58,X_59),join(X_58,join(X_58,X_59))) = join(X_58,X_59),
inference(subst,[],[refute_0_566:[bind(X_13,$fot(join(X_58,X_59))),bind(X_42,$fot(X_58))]]) ).
cnf(refute_0_630,plain,
( join(X_58,join(X_58,X_59)) != meet(join(X_58,X_59),join(X_58,join(X_58,X_59)))
| meet(join(X_58,X_59),join(X_58,join(X_58,X_59))) != join(X_58,X_59)
| join(X_58,join(X_58,X_59)) = join(X_58,X_59) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_58,join(X_58,X_59)),join(X_58,X_59)) ),[0],$fot(meet(join(X_58,X_59),join(X_58,join(X_58,X_59))))]]) ).
cnf(refute_0_631,plain,
( join(X_58,join(X_58,X_59)) != meet(join(X_58,X_59),join(X_58,join(X_58,X_59)))
| join(X_58,join(X_58,X_59)) = join(X_58,X_59) ),
inference(resolve,[$cnf( $equal(meet(join(X_58,X_59),join(X_58,join(X_58,X_59))),join(X_58,X_59)) )],[refute_0_629,refute_0_630]) ).
cnf(refute_0_632,plain,
join(X_58,join(X_58,X_59)) = join(X_58,X_59),
inference(resolve,[$cnf( $equal(join(X_58,join(X_58,X_59)),meet(join(X_58,X_59),join(X_58,join(X_58,X_59)))) )],[refute_0_628,refute_0_631]) ).
cnf(refute_0_633,plain,
join(A,join(A,X_92)) = join(A,X_92),
inference(subst,[],[refute_0_632:[bind(X_58,$fot(A)),bind(X_59,$fot(X_92))]]) ).
cnf(refute_0_634,plain,
( join(A,join(A,X_92)) != join(A,X_92)
| join(meet(A,join(A,X_92)),meet(A,join(A,join(A,X_92)))) != A
| join(meet(A,join(A,X_92)),meet(A,join(A,X_92))) = A ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(A,join(A,X_92)),meet(A,join(A,join(A,X_92)))),A) ),[0,1,1],$fot(join(A,X_92))]]) ).
cnf(refute_0_635,plain,
( join(meet(A,join(A,X_92)),meet(A,join(A,join(A,X_92)))) != A
| join(meet(A,join(A,X_92)),meet(A,join(A,X_92))) = A ),
inference(resolve,[$cnf( $equal(join(A,join(A,X_92)),join(A,X_92)) )],[refute_0_633,refute_0_634]) ).
cnf(refute_0_636,plain,
join(meet(A,join(A,X_92)),meet(A,join(A,X_92))) = A,
inference(resolve,[$cnf( $equal(join(meet(A,join(A,X_92)),meet(A,join(A,join(A,X_92)))),A) )],[refute_0_586,refute_0_635]) ).
cnf(refute_0_637,plain,
join(meet(A,join(A,X_92)),meet(A,join(A,X_92))) = meet(A,join(A,X_92)),
inference(subst,[],[refute_0_152:[bind(B,$fot(meet(A,join(A,X_92))))]]) ).
cnf(refute_0_638,plain,
( join(meet(A,join(A,X_92)),meet(A,join(A,X_92))) != A
| join(meet(A,join(A,X_92)),meet(A,join(A,X_92))) != meet(A,join(A,X_92))
| meet(A,join(A,X_92)) = A ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(A,join(A,X_92)),meet(A,join(A,X_92))),A) ),[0],$fot(meet(A,join(A,X_92)))]]) ).
cnf(refute_0_639,plain,
( join(meet(A,join(A,X_92)),meet(A,join(A,X_92))) != A
| meet(A,join(A,X_92)) = A ),
inference(resolve,[$cnf( $equal(join(meet(A,join(A,X_92)),meet(A,join(A,X_92))),meet(A,join(A,X_92))) )],[refute_0_637,refute_0_638]) ).
cnf(refute_0_640,plain,
meet(A,join(A,X_92)) = A,
inference(resolve,[$cnf( $equal(join(meet(A,join(A,X_92)),meet(A,join(A,X_92))),A) )],[refute_0_636,refute_0_639]) ).
cnf(refute_0_641,plain,
meet(X_169,join(X_169,X_167)) = X_169,
inference(subst,[],[refute_0_640:[bind(A,$fot(X_169)),bind(X_92,$fot(X_167))]]) ).
cnf(refute_0_642,plain,
( join(join(X_167,meet(X_169,join(X_169,X_167))),join(X_169,X_167)) != join(X_169,X_167)
| meet(X_169,join(X_169,X_167)) != X_169
| join(join(X_167,X_169),join(X_169,X_167)) = join(X_169,X_167) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(X_167,meet(X_169,join(X_169,X_167))),join(X_169,X_167)),join(X_169,X_167)) ),[0,0,1],$fot(X_169)]]) ).
cnf(refute_0_643,plain,
( join(join(X_167,meet(X_169,join(X_169,X_167))),join(X_169,X_167)) != join(X_169,X_167)
| join(join(X_167,X_169),join(X_169,X_167)) = join(X_169,X_167) ),
inference(resolve,[$cnf( $equal(meet(X_169,join(X_169,X_167)),X_169) )],[refute_0_641,refute_0_642]) ).
cnf(refute_0_644,plain,
join(join(X_167,X_169),join(X_169,X_167)) = join(X_169,X_167),
inference(resolve,[$cnf( $equal(join(join(X_167,meet(X_169,join(X_169,X_167))),join(X_169,X_167)),join(X_169,X_167)) )],[refute_0_585,refute_0_643]) ).
cnf(refute_0_645,plain,
join(join(join(X_171,X_170),join(X_170,X_171)),join(join(X_170,X_171),join(X_171,X_170))) = join(join(X_170,X_171),join(X_171,X_170)),
inference(subst,[],[refute_0_644:[bind(X_167,$fot(join(X_171,X_170))),bind(X_169,$fot(join(X_170,X_171)))]]) ).
cnf(refute_0_646,plain,
join(join(X_170,X_171),join(X_171,X_170)) = join(X_171,X_170),
inference(subst,[],[refute_0_644:[bind(X_167,$fot(X_170)),bind(X_169,$fot(X_171))]]) ).
cnf(refute_0_647,plain,
( join(join(X_170,X_171),join(X_171,X_170)) != join(X_171,X_170)
| join(join(join(X_171,X_170),join(X_170,X_171)),join(join(X_170,X_171),join(X_171,X_170))) != join(join(X_170,X_171),join(X_171,X_170))
| join(join(join(X_171,X_170),join(X_170,X_171)),join(X_171,X_170)) = join(join(X_170,X_171),join(X_171,X_170)) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(join(X_171,X_170),join(X_170,X_171)),join(join(X_170,X_171),join(X_171,X_170))),join(join(X_170,X_171),join(X_171,X_170))) ),[0,1],$fot(join(X_171,X_170))]]) ).
cnf(refute_0_648,plain,
( join(join(join(X_171,X_170),join(X_170,X_171)),join(join(X_170,X_171),join(X_171,X_170))) != join(join(X_170,X_171),join(X_171,X_170))
| join(join(join(X_171,X_170),join(X_170,X_171)),join(X_171,X_170)) = join(join(X_170,X_171),join(X_171,X_170)) ),
inference(resolve,[$cnf( $equal(join(join(X_170,X_171),join(X_171,X_170)),join(X_171,X_170)) )],[refute_0_646,refute_0_647]) ).
cnf(refute_0_649,plain,
join(join(join(X_171,X_170),join(X_170,X_171)),join(X_171,X_170)) = join(join(X_170,X_171),join(X_171,X_170)),
inference(resolve,[$cnf( $equal(join(join(join(X_171,X_170),join(X_170,X_171)),join(join(X_170,X_171),join(X_171,X_170))),join(join(X_170,X_171),join(X_171,X_170))) )],[refute_0_645,refute_0_648]) ).
cnf(refute_0_650,plain,
join(join(X_171,X_170),join(X_170,X_171)) = join(X_170,X_171),
inference(subst,[],[refute_0_644:[bind(X_167,$fot(X_171)),bind(X_169,$fot(X_170))]]) ).
cnf(refute_0_651,plain,
join(join(B,X_94),meet(B,join(B,X_94))) = join(B,X_94),
inference(subst,[],[refute_0_605:[bind(A,$fot(join(B,X_94)))]]) ).
cnf(refute_0_652,plain,
meet(B,join(B,X_94)) = B,
inference(subst,[],[refute_0_640:[bind(A,$fot(B)),bind(X_92,$fot(X_94))]]) ).
cnf(refute_0_653,plain,
( join(join(B,X_94),meet(B,join(B,X_94))) != join(B,X_94)
| meet(B,join(B,X_94)) != B
| join(join(B,X_94),B) = join(B,X_94) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(B,X_94),meet(B,join(B,X_94))),join(B,X_94)) ),[0,1],$fot(B)]]) ).
cnf(refute_0_654,plain,
( join(join(B,X_94),meet(B,join(B,X_94))) != join(B,X_94)
| join(join(B,X_94),B) = join(B,X_94) ),
inference(resolve,[$cnf( $equal(meet(B,join(B,X_94)),B) )],[refute_0_652,refute_0_653]) ).
cnf(refute_0_655,plain,
join(join(B,X_94),B) = join(B,X_94),
inference(resolve,[$cnf( $equal(join(join(B,X_94),meet(B,join(B,X_94))),join(B,X_94)) )],[refute_0_651,refute_0_654]) ).
cnf(refute_0_656,plain,
join(join(join(X_171,X_170),join(X_170,X_171)),join(X_171,X_170)) = join(join(X_171,X_170),join(X_170,X_171)),
inference(subst,[],[refute_0_655:[bind(B,$fot(join(X_171,X_170))),bind(X_94,$fot(join(X_170,X_171)))]]) ).
cnf(refute_0_657,plain,
( join(join(X_171,X_170),join(X_170,X_171)) != join(X_170,X_171)
| join(join(join(X_171,X_170),join(X_170,X_171)),join(X_171,X_170)) != join(join(X_171,X_170),join(X_170,X_171))
| join(join(join(X_171,X_170),join(X_170,X_171)),join(X_171,X_170)) = join(X_170,X_171) ),
inference(subst,[],[refute_0_126:[bind(X,$fot(join(join(join(X_171,X_170),join(X_170,X_171)),join(X_171,X_170)))),bind(Y,$fot(join(join(X_171,X_170),join(X_170,X_171)))),bind(Z,$fot(join(X_170,X_171)))]]) ).
cnf(refute_0_658,plain,
( join(join(X_171,X_170),join(X_170,X_171)) != join(X_170,X_171)
| join(join(join(X_171,X_170),join(X_170,X_171)),join(X_171,X_170)) = join(X_170,X_171) ),
inference(resolve,[$cnf( $equal(join(join(join(X_171,X_170),join(X_170,X_171)),join(X_171,X_170)),join(join(X_171,X_170),join(X_170,X_171))) )],[refute_0_656,refute_0_657]) ).
cnf(refute_0_659,plain,
join(join(join(X_171,X_170),join(X_170,X_171)),join(X_171,X_170)) = join(X_170,X_171),
inference(resolve,[$cnf( $equal(join(join(X_171,X_170),join(X_170,X_171)),join(X_170,X_171)) )],[refute_0_650,refute_0_658]) ).
cnf(refute_0_660,plain,
( join(join(join(X_171,X_170),join(X_170,X_171)),join(X_171,X_170)) != join(X_170,X_171)
| join(join(join(X_171,X_170),join(X_170,X_171)),join(X_171,X_170)) != join(join(X_170,X_171),join(X_171,X_170))
| join(X_170,X_171) = join(join(X_170,X_171),join(X_171,X_170)) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(join(X_171,X_170),join(X_170,X_171)),join(X_171,X_170)),join(join(X_170,X_171),join(X_171,X_170))) ),[0],$fot(join(X_170,X_171))]]) ).
cnf(refute_0_661,plain,
( join(join(join(X_171,X_170),join(X_170,X_171)),join(X_171,X_170)) != join(join(X_170,X_171),join(X_171,X_170))
| join(X_170,X_171) = join(join(X_170,X_171),join(X_171,X_170)) ),
inference(resolve,[$cnf( $equal(join(join(join(X_171,X_170),join(X_170,X_171)),join(X_171,X_170)),join(X_170,X_171)) )],[refute_0_659,refute_0_660]) ).
cnf(refute_0_662,plain,
( join(X_170,X_171) != join(join(X_170,X_171),join(X_171,X_170))
| join(join(X_170,X_171),join(X_171,X_170)) != join(X_171,X_170)
| join(X_170,X_171) = join(X_171,X_170) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_170,X_171),join(X_171,X_170)) ),[0],$fot(join(join(X_170,X_171),join(X_171,X_170)))]]) ).
cnf(refute_0_663,plain,
( join(X_170,X_171) != join(join(X_170,X_171),join(X_171,X_170))
| join(X_170,X_171) = join(X_171,X_170) ),
inference(resolve,[$cnf( $equal(join(join(X_170,X_171),join(X_171,X_170)),join(X_171,X_170)) )],[refute_0_646,refute_0_662]) ).
cnf(refute_0_664,plain,
( join(join(join(X_171,X_170),join(X_170,X_171)),join(X_171,X_170)) != join(join(X_170,X_171),join(X_171,X_170))
| join(X_170,X_171) = join(X_171,X_170) ),
inference(resolve,[$cnf( $equal(join(X_170,X_171),join(join(X_170,X_171),join(X_171,X_170))) )],[refute_0_661,refute_0_663]) ).
cnf(refute_0_665,plain,
join(X_170,X_171) = join(X_171,X_170),
inference(resolve,[$cnf( $equal(join(join(join(X_171,X_170),join(X_170,X_171)),join(X_171,X_170)),join(join(X_170,X_171),join(X_171,X_170))) )],[refute_0_649,refute_0_664]) ).
cnf(refute_0_666,plain,
( join(X_170,X_171) != join(X_171,X_170)
| join(X_171,X_170) = join(X_170,X_171) ),
inference(subst,[],[refute_0_124:[bind(X,$fot(join(X_170,X_171))),bind(Y,$fot(join(X_171,X_170)))]]) ).
cnf(refute_0_667,plain,
join(X_171,X_170) = join(X_170,X_171),
inference(resolve,[$cnf( $equal(join(X_170,X_171),join(X_171,X_170)) )],[refute_0_665,refute_0_666]) ).
cnf(refute_0_668,plain,
join(b,a) = join(a,b),
inference(subst,[],[refute_0_667:[bind(X_170,$fot(a)),bind(X_171,$fot(b))]]) ).
cnf(refute_0_669,plain,
( join(a,b) != join(a,b)
| join(b,a) != join(a,b)
| join(b,a) = join(a,b) ),
introduced(tautology,[equality,[$cnf( $equal(join(b,a),join(a,b)) ),[1],$fot(join(a,b))]]) ).
cnf(refute_0_670,plain,
( join(a,b) != join(a,b)
| join(b,a) = join(a,b) ),
inference(resolve,[$cnf( $equal(join(b,a),join(a,b)) )],[refute_0_668,refute_0_669]) ).
cnf(refute_0_671,plain,
join(a,b) != join(a,b),
inference(resolve,[$cnf( $equal(join(b,a),join(a,b)) )],[refute_0_670,prove_normal_axioms_4]) ).
cnf(refute_0_672,plain,
join(a,b) = join(a,b),
introduced(tautology,[refl,[$fot(join(a,b))]]) ).
cnf(refute_0_673,plain,
$false,
inference(resolve,[$cnf( $equal(join(a,b),join(a,b)) )],[refute_0_672,refute_0_671]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LAT091-1 : TPTP v8.1.0. Released v2.6.0.
% 0.07/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n020.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Wed Jun 29 19:12:01 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 1.18/1.35 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.18/1.35
% 1.18/1.35 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 1.28/1.46
%------------------------------------------------------------------------------