TSTP Solution File: LAT089-1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : LAT089-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n008.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 05:59:51 EDT 2022
% Result : Unsatisfiable 0.36s 0.53s
% Output : CNFRefutation 0.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 103
% Number of leaves : 188
% Syntax : Number of clauses : 623 ( 297 unt; 0 nHn; 320 RR)
% Number of literals : 1102 (1101 equ; 481 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 8 ( 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 : 1249 ( 84 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_2,negated_conjecture,
meet(b,a) != meet(a,b) ).
cnf(refute_0_0,plain,
meet(meet(join(meet(A,B),meet(B,join(A,B))),join(X_11,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,$fot(X_11))]]) ).
cnf(refute_0_1,plain,
( join(meet(A,B),meet(B,join(A,B))) != B
| meet(meet(join(meet(A,B),meet(B,join(A,B))),join(X_11,meet(A,B))),meet(A,B)) != meet(A,B)
| meet(meet(B,join(X_11,meet(A,B))),meet(A,B)) = meet(A,B) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(join(meet(A,B),meet(B,join(A,B))),join(X_11,meet(A,B))),meet(A,B)),meet(A,B)) ),[0,0,0],$fot(B)]]) ).
cnf(refute_0_2,plain,
( meet(meet(join(meet(A,B),meet(B,join(A,B))),join(X_11,meet(A,B))),meet(A,B)) != meet(A,B)
| meet(meet(B,join(X_11,meet(A,B))),meet(A,B)) = meet(A,B) ),
inference(resolve,[$cnf( $equal(join(meet(A,B),meet(B,join(A,B))),B) )],[wal_absorbtion_3,refute_0_1]) ).
cnf(refute_0_3,plain,
meet(meet(B,join(X_11,meet(A,B))),meet(A,B)) = meet(A,B),
inference(resolve,[$cnf( $equal(meet(meet(join(meet(A,B),meet(B,join(A,B))),join(X_11,meet(A,B))),meet(A,B)),meet(A,B)) )],[refute_0_0,refute_0_2]) ).
cnf(refute_0_4,plain,
meet(meet(B,join(A,meet(A,B))),meet(A,B)) = meet(A,B),
inference(subst,[],[refute_0_3:[bind(X_11,$fot(A))]]) ).
cnf(refute_0_5,plain,
meet(meet(join(X_9,X_10),join(join(meet(X_9,B),meet(C,X_9)),X_9)),X_9) = X_9,
inference(subst,[],[wal_absorbtion_4:[bind(A,$fot(X_9)),bind(B,$fot(X_10)),bind(C,$fot(join(meet(X_9,B),meet(C,X_9))))]]) ).
cnf(refute_0_6,plain,
join(join(meet(X_9,B),meet(C,X_9)),X_9) = X_9,
inference(subst,[],[wal_absorbtion_5:[bind(A,$fot(X_9))]]) ).
cnf(refute_0_7,plain,
( join(join(meet(X_9,B),meet(C,X_9)),X_9) != X_9
| meet(meet(join(X_9,X_10),join(join(meet(X_9,B),meet(C,X_9)),X_9)),X_9) != X_9
| meet(meet(join(X_9,X_10),X_9),X_9) = X_9 ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(join(X_9,X_10),join(join(meet(X_9,B),meet(C,X_9)),X_9)),X_9),X_9) ),[0,0,1],$fot(X_9)]]) ).
cnf(refute_0_8,plain,
( meet(meet(join(X_9,X_10),join(join(meet(X_9,B),meet(C,X_9)),X_9)),X_9) != X_9
| meet(meet(join(X_9,X_10),X_9),X_9) = X_9 ),
inference(resolve,[$cnf( $equal(join(join(meet(X_9,B),meet(C,X_9)),X_9),X_9) )],[refute_0_6,refute_0_7]) ).
cnf(refute_0_9,plain,
meet(meet(join(X_9,X_10),X_9),X_9) = X_9,
inference(resolve,[$cnf( $equal(meet(meet(join(X_9,X_10),join(join(meet(X_9,B),meet(C,X_9)),X_9)),X_9),X_9) )],[refute_0_5,refute_0_8]) ).
cnf(refute_0_10,plain,
meet(meet(join(meet(A,B),meet(A,join(A,B))),meet(A,B)),meet(A,B)) = meet(A,B),
inference(subst,[],[refute_0_9:[bind(X_10,$fot(meet(A,join(A,B)))),bind(X_9,$fot(meet(A,B)))]]) ).
cnf(refute_0_11,plain,
( join(meet(A,B),meet(A,join(A,B))) != A
| meet(meet(join(meet(A,B),meet(A,join(A,B))),meet(A,B)),meet(A,B)) != meet(A,B)
| meet(meet(A,meet(A,B)),meet(A,B)) = meet(A,B) ),
introduced(tautology,[equality,[$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_12,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( $equal(join(meet(A,B),meet(A,join(A,B))),A) )],[wal_absorbtion_1,refute_0_11]) ).
cnf(refute_0_13,plain,
meet(meet(A,meet(A,B)),meet(A,B)) = meet(A,B),
inference(resolve,[$cnf( $equal(meet(meet(join(meet(A,B),meet(A,join(A,B))),meet(A,B)),meet(A,B)),meet(A,B)) )],[refute_0_10,refute_0_12]) ).
cnf(refute_0_14,plain,
meet(meet(meet(join(X_38,B),join(C,X_38)),meet(meet(join(X_38,B),join(C,X_38)),X_38)),meet(meet(join(X_38,B),join(C,X_38)),X_38)) = meet(meet(join(X_38,B),join(C,X_38)),X_38),
inference(subst,[],[refute_0_13:[bind(A,$fot(meet(join(X_38,B),join(C,X_38)))),bind(B,$fot(X_38))]]) ).
cnf(refute_0_15,plain,
meet(meet(join(X_38,B),join(C,X_38)),X_38) = X_38,
inference(subst,[],[wal_absorbtion_4:[bind(A,$fot(X_38))]]) ).
cnf(refute_0_16,plain,
( meet(meet(join(X_38,B),join(C,X_38)),X_38) != X_38
| meet(meet(meet(join(X_38,B),join(C,X_38)),meet(meet(join(X_38,B),join(C,X_38)),X_38)),meet(meet(join(X_38,B),join(C,X_38)),X_38)) != meet(meet(join(X_38,B),join(C,X_38)),X_38)
| meet(meet(meet(join(X_38,B),join(C,X_38)),meet(meet(join(X_38,B),join(C,X_38)),X_38)),X_38) = meet(meet(join(X_38,B),join(C,X_38)),X_38) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(meet(join(X_38,B),join(C,X_38)),meet(meet(join(X_38,B),join(C,X_38)),X_38)),meet(meet(join(X_38,B),join(C,X_38)),X_38)),meet(meet(join(X_38,B),join(C,X_38)),X_38)) ),[0,1],$fot(X_38)]]) ).
cnf(refute_0_17,plain,
( meet(meet(meet(join(X_38,B),join(C,X_38)),meet(meet(join(X_38,B),join(C,X_38)),X_38)),meet(meet(join(X_38,B),join(C,X_38)),X_38)) != meet(meet(join(X_38,B),join(C,X_38)),X_38)
| meet(meet(meet(join(X_38,B),join(C,X_38)),meet(meet(join(X_38,B),join(C,X_38)),X_38)),X_38) = meet(meet(join(X_38,B),join(C,X_38)),X_38) ),
inference(resolve,[$cnf( $equal(meet(meet(join(X_38,B),join(C,X_38)),X_38),X_38) )],[refute_0_15,refute_0_16]) ).
cnf(refute_0_18,plain,
meet(meet(meet(join(X_38,B),join(C,X_38)),meet(meet(join(X_38,B),join(C,X_38)),X_38)),X_38) = meet(meet(join(X_38,B),join(C,X_38)),X_38),
inference(resolve,[$cnf( $equal(meet(meet(meet(join(X_38,B),join(C,X_38)),meet(meet(join(X_38,B),join(C,X_38)),X_38)),meet(meet(join(X_38,B),join(C,X_38)),X_38)),meet(meet(join(X_38,B),join(C,X_38)),X_38)) )],[refute_0_14,refute_0_17]) ).
cnf(refute_0_19,plain,
meet(meet(join(X_38,B),join(C,X_38)),meet(meet(join(X_38,B),join(C,X_38)),X_38)) = meet(meet(join(X_38,B),join(C,X_38)),meet(meet(join(X_38,B),join(C,X_38)),X_38)),
introduced(tautology,[refl,[$fot(meet(meet(join(X_38,B),join(C,X_38)),meet(meet(join(X_38,B),join(C,X_38)),X_38)))]]) ).
cnf(refute_0_20,plain,
( meet(meet(join(X_38,B),join(C,X_38)),X_38) != X_38
| meet(meet(join(X_38,B),join(C,X_38)),meet(meet(join(X_38,B),join(C,X_38)),X_38)) != meet(meet(join(X_38,B),join(C,X_38)),meet(meet(join(X_38,B),join(C,X_38)),X_38))
| meet(meet(join(X_38,B),join(C,X_38)),meet(meet(join(X_38,B),join(C,X_38)),X_38)) = meet(meet(join(X_38,B),join(C,X_38)),X_38) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(join(X_38,B),join(C,X_38)),meet(meet(join(X_38,B),join(C,X_38)),X_38)),meet(meet(join(X_38,B),join(C,X_38)),meet(meet(join(X_38,B),join(C,X_38)),X_38))) ),[1,1],$fot(X_38)]]) ).
cnf(refute_0_21,plain,
( meet(meet(join(X_38,B),join(C,X_38)),X_38) != X_38
| meet(meet(join(X_38,B),join(C,X_38)),meet(meet(join(X_38,B),join(C,X_38)),X_38)) = meet(meet(join(X_38,B),join(C,X_38)),X_38) ),
inference(resolve,[$cnf( $equal(meet(meet(join(X_38,B),join(C,X_38)),meet(meet(join(X_38,B),join(C,X_38)),X_38)),meet(meet(join(X_38,B),join(C,X_38)),meet(meet(join(X_38,B),join(C,X_38)),X_38))) )],[refute_0_19,refute_0_20]) ).
cnf(refute_0_22,plain,
meet(meet(join(X_38,B),join(C,X_38)),meet(meet(join(X_38,B),join(C,X_38)),X_38)) = meet(meet(join(X_38,B),join(C,X_38)),X_38),
inference(resolve,[$cnf( $equal(meet(meet(join(X_38,B),join(C,X_38)),X_38),X_38) )],[refute_0_15,refute_0_21]) ).
cnf(refute_0_23,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_24,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_25,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_23,refute_0_24]) ).
cnf(refute_0_26,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_27,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_25,refute_0_26]) ).
cnf(refute_0_28,plain,
( meet(meet(join(X_38,B),join(C,X_38)),X_38) != X_38
| meet(meet(join(X_38,B),join(C,X_38)),meet(meet(join(X_38,B),join(C,X_38)),X_38)) != meet(meet(join(X_38,B),join(C,X_38)),X_38)
| meet(meet(join(X_38,B),join(C,X_38)),meet(meet(join(X_38,B),join(C,X_38)),X_38)) = X_38 ),
inference(subst,[],[refute_0_27:[bind(X,$fot(meet(meet(join(X_38,B),join(C,X_38)),meet(meet(join(X_38,B),join(C,X_38)),X_38)))),bind(Y,$fot(meet(meet(join(X_38,B),join(C,X_38)),X_38))),bind(Z,$fot(X_38))]]) ).
cnf(refute_0_29,plain,
( meet(meet(join(X_38,B),join(C,X_38)),X_38) != X_38
| meet(meet(join(X_38,B),join(C,X_38)),meet(meet(join(X_38,B),join(C,X_38)),X_38)) = X_38 ),
inference(resolve,[$cnf( $equal(meet(meet(join(X_38,B),join(C,X_38)),meet(meet(join(X_38,B),join(C,X_38)),X_38)),meet(meet(join(X_38,B),join(C,X_38)),X_38)) )],[refute_0_22,refute_0_28]) ).
cnf(refute_0_30,plain,
meet(meet(join(X_38,B),join(C,X_38)),meet(meet(join(X_38,B),join(C,X_38)),X_38)) = X_38,
inference(resolve,[$cnf( $equal(meet(meet(join(X_38,B),join(C,X_38)),X_38),X_38) )],[refute_0_15,refute_0_29]) ).
cnf(refute_0_31,plain,
meet(meet(meet(join(X_38,B),join(C,X_38)),meet(meet(join(X_38,B),join(C,X_38)),X_38)),X_38) = meet(meet(meet(join(X_38,B),join(C,X_38)),meet(meet(join(X_38,B),join(C,X_38)),X_38)),X_38),
introduced(tautology,[refl,[$fot(meet(meet(meet(join(X_38,B),join(C,X_38)),meet(meet(join(X_38,B),join(C,X_38)),X_38)),X_38))]]) ).
cnf(refute_0_32,plain,
( meet(meet(join(X_38,B),join(C,X_38)),meet(meet(join(X_38,B),join(C,X_38)),X_38)) != X_38
| meet(meet(meet(join(X_38,B),join(C,X_38)),meet(meet(join(X_38,B),join(C,X_38)),X_38)),X_38) != meet(meet(meet(join(X_38,B),join(C,X_38)),meet(meet(join(X_38,B),join(C,X_38)),X_38)),X_38)
| meet(meet(meet(join(X_38,B),join(C,X_38)),meet(meet(join(X_38,B),join(C,X_38)),X_38)),X_38) = meet(X_38,X_38) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(meet(join(X_38,B),join(C,X_38)),meet(meet(join(X_38,B),join(C,X_38)),X_38)),X_38),meet(meet(meet(join(X_38,B),join(C,X_38)),meet(meet(join(X_38,B),join(C,X_38)),X_38)),X_38)) ),[1,0],$fot(X_38)]]) ).
cnf(refute_0_33,plain,
( meet(meet(join(X_38,B),join(C,X_38)),meet(meet(join(X_38,B),join(C,X_38)),X_38)) != X_38
| meet(meet(meet(join(X_38,B),join(C,X_38)),meet(meet(join(X_38,B),join(C,X_38)),X_38)),X_38) = meet(X_38,X_38) ),
inference(resolve,[$cnf( $equal(meet(meet(meet(join(X_38,B),join(C,X_38)),meet(meet(join(X_38,B),join(C,X_38)),X_38)),X_38),meet(meet(meet(join(X_38,B),join(C,X_38)),meet(meet(join(X_38,B),join(C,X_38)),X_38)),X_38)) )],[refute_0_31,refute_0_32]) ).
cnf(refute_0_34,plain,
meet(meet(meet(join(X_38,B),join(C,X_38)),meet(meet(join(X_38,B),join(C,X_38)),X_38)),X_38) = meet(X_38,X_38),
inference(resolve,[$cnf( $equal(meet(meet(join(X_38,B),join(C,X_38)),meet(meet(join(X_38,B),join(C,X_38)),X_38)),X_38) )],[refute_0_30,refute_0_33]) ).
cnf(refute_0_35,plain,
( meet(meet(meet(join(X_38,B),join(C,X_38)),meet(meet(join(X_38,B),join(C,X_38)),X_38)),X_38) != meet(X_38,X_38)
| meet(meet(meet(join(X_38,B),join(C,X_38)),meet(meet(join(X_38,B),join(C,X_38)),X_38)),X_38) != meet(meet(join(X_38,B),join(C,X_38)),X_38)
| meet(X_38,X_38) = meet(meet(join(X_38,B),join(C,X_38)),X_38) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(meet(join(X_38,B),join(C,X_38)),meet(meet(join(X_38,B),join(C,X_38)),X_38)),X_38),meet(meet(join(X_38,B),join(C,X_38)),X_38)) ),[0],$fot(meet(X_38,X_38))]]) ).
cnf(refute_0_36,plain,
( meet(meet(meet(join(X_38,B),join(C,X_38)),meet(meet(join(X_38,B),join(C,X_38)),X_38)),X_38) != meet(meet(join(X_38,B),join(C,X_38)),X_38)
| meet(X_38,X_38) = meet(meet(join(X_38,B),join(C,X_38)),X_38) ),
inference(resolve,[$cnf( $equal(meet(meet(meet(join(X_38,B),join(C,X_38)),meet(meet(join(X_38,B),join(C,X_38)),X_38)),X_38),meet(X_38,X_38)) )],[refute_0_34,refute_0_35]) ).
cnf(refute_0_37,plain,
( meet(X_38,X_38) != meet(meet(join(X_38,B),join(C,X_38)),X_38)
| meet(meet(join(X_38,B),join(C,X_38)),X_38) != X_38
| meet(X_38,X_38) = X_38 ),
introduced(tautology,[equality,[$cnf( ~ $equal(meet(X_38,X_38),X_38) ),[0],$fot(meet(meet(join(X_38,B),join(C,X_38)),X_38))]]) ).
cnf(refute_0_38,plain,
( meet(X_38,X_38) != meet(meet(join(X_38,B),join(C,X_38)),X_38)
| meet(X_38,X_38) = X_38 ),
inference(resolve,[$cnf( $equal(meet(meet(join(X_38,B),join(C,X_38)),X_38),X_38) )],[refute_0_15,refute_0_37]) ).
cnf(refute_0_39,plain,
( meet(meet(meet(join(X_38,B),join(C,X_38)),meet(meet(join(X_38,B),join(C,X_38)),X_38)),X_38) != meet(meet(join(X_38,B),join(C,X_38)),X_38)
| meet(X_38,X_38) = X_38 ),
inference(resolve,[$cnf( $equal(meet(X_38,X_38),meet(meet(join(X_38,B),join(C,X_38)),X_38)) )],[refute_0_36,refute_0_38]) ).
cnf(refute_0_40,plain,
meet(X_38,X_38) = X_38,
inference(resolve,[$cnf( $equal(meet(meet(meet(join(X_38,B),join(C,X_38)),meet(meet(join(X_38,B),join(C,X_38)),X_38)),X_38),meet(meet(join(X_38,B),join(C,X_38)),X_38)) )],[refute_0_18,refute_0_39]) ).
cnf(refute_0_41,plain,
meet(A,A) = A,
inference(subst,[],[refute_0_40:[bind(X_38,$fot(A))]]) ).
cnf(refute_0_42,plain,
join(meet(A,A),meet(B,join(A,A))) = join(meet(A,A),meet(B,join(A,A))),
introduced(tautology,[refl,[$fot(join(meet(A,A),meet(B,join(A,A))))]]) ).
cnf(refute_0_43,plain,
( join(meet(A,A),meet(B,join(A,A))) != join(meet(A,A),meet(B,join(A,A)))
| meet(A,A) != A
| join(meet(A,A),meet(B,join(A,A))) = join(A,meet(B,join(A,A))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(A,A),meet(B,join(A,A))),join(meet(A,A),meet(B,join(A,A)))) ),[1,0],$fot(A)]]) ).
cnf(refute_0_44,plain,
( meet(A,A) != A
| join(meet(A,A),meet(B,join(A,A))) = join(A,meet(B,join(A,A))) ),
inference(resolve,[$cnf( $equal(join(meet(A,A),meet(B,join(A,A))),join(meet(A,A),meet(B,join(A,A)))) )],[refute_0_42,refute_0_43]) ).
cnf(refute_0_45,plain,
join(meet(A,A),meet(B,join(A,A))) = join(A,meet(B,join(A,A))),
inference(resolve,[$cnf( $equal(meet(A,A),A) )],[refute_0_41,refute_0_44]) ).
cnf(refute_0_46,plain,
( join(meet(A,A),meet(B,join(A,A))) != A
| join(meet(A,A),meet(B,join(A,A))) != join(A,meet(B,join(A,A)))
| join(A,meet(B,join(A,A))) = A ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(A,A),meet(B,join(A,A))),A) ),[0],$fot(join(A,meet(B,join(A,A))))]]) ).
cnf(refute_0_47,plain,
( join(meet(A,A),meet(B,join(A,A))) != A
| join(A,meet(B,join(A,A))) = A ),
inference(resolve,[$cnf( $equal(join(meet(A,A),meet(B,join(A,A))),join(A,meet(B,join(A,A)))) )],[refute_0_45,refute_0_46]) ).
cnf(refute_0_48,plain,
join(A,meet(B,join(A,A))) = A,
inference(resolve,[$cnf( $equal(join(meet(A,A),meet(B,join(A,A))),A) )],[wal_absorbtion_2,refute_0_47]) ).
cnf(refute_0_49,plain,
join(meet(meet(X_12,X_12),join(X_12,X_12)),meet(join(X_12,X_12),join(meet(X_12,X_12),join(X_12,X_12)))) = join(X_12,X_12),
inference(subst,[],[wal_absorbtion_3:[bind(A,$fot(meet(X_12,X_12))),bind(B,$fot(join(X_12,X_12)))]]) ).
cnf(refute_0_50,plain,
join(meet(A,A),meet(meet(join(join(A,A),X_10),join(X_11,join(A,A))),join(A,A))) = A,
inference(subst,[],[wal_absorbtion_2:[bind(B,$fot(meet(join(join(A,A),X_10),join(X_11,join(A,A)))))]]) ).
cnf(refute_0_51,plain,
meet(meet(join(join(A,A),X_10),join(X_11,join(A,A))),join(A,A)) = join(A,A),
inference(subst,[],[wal_absorbtion_4:[bind(A,$fot(join(A,A))),bind(B,$fot(X_10)),bind(C,$fot(X_11))]]) ).
cnf(refute_0_52,plain,
( join(meet(A,A),meet(meet(join(join(A,A),X_10),join(X_11,join(A,A))),join(A,A))) != A
| meet(meet(join(join(A,A),X_10),join(X_11,join(A,A))),join(A,A)) != join(A,A)
| join(meet(A,A),join(A,A)) = A ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(A,A),meet(meet(join(join(A,A),X_10),join(X_11,join(A,A))),join(A,A))),A) ),[0,1],$fot(join(A,A))]]) ).
cnf(refute_0_53,plain,
( join(meet(A,A),meet(meet(join(join(A,A),X_10),join(X_11,join(A,A))),join(A,A))) != A
| join(meet(A,A),join(A,A)) = A ),
inference(resolve,[$cnf( $equal(meet(meet(join(join(A,A),X_10),join(X_11,join(A,A))),join(A,A)),join(A,A)) )],[refute_0_51,refute_0_52]) ).
cnf(refute_0_54,plain,
join(meet(A,A),join(A,A)) = A,
inference(resolve,[$cnf( $equal(join(meet(A,A),meet(meet(join(join(A,A),X_10),join(X_11,join(A,A))),join(A,A))),A) )],[refute_0_50,refute_0_53]) ).
cnf(refute_0_55,plain,
join(meet(X_12,X_12),join(X_12,X_12)) = X_12,
inference(subst,[],[refute_0_54:[bind(A,$fot(X_12))]]) ).
cnf(refute_0_56,plain,
( join(meet(X_12,X_12),join(X_12,X_12)) != X_12
| join(meet(meet(X_12,X_12),join(X_12,X_12)),meet(join(X_12,X_12),join(meet(X_12,X_12),join(X_12,X_12)))) != join(X_12,X_12)
| join(meet(meet(X_12,X_12),join(X_12,X_12)),meet(join(X_12,X_12),X_12)) = join(X_12,X_12) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(X_12,X_12),join(X_12,X_12)),meet(join(X_12,X_12),join(meet(X_12,X_12),join(X_12,X_12)))),join(X_12,X_12)) ),[0,1,1],$fot(X_12)]]) ).
cnf(refute_0_57,plain,
( join(meet(meet(X_12,X_12),join(X_12,X_12)),meet(join(X_12,X_12),join(meet(X_12,X_12),join(X_12,X_12)))) != join(X_12,X_12)
| join(meet(meet(X_12,X_12),join(X_12,X_12)),meet(join(X_12,X_12),X_12)) = join(X_12,X_12) ),
inference(resolve,[$cnf( $equal(join(meet(X_12,X_12),join(X_12,X_12)),X_12) )],[refute_0_55,refute_0_56]) ).
cnf(refute_0_58,plain,
join(meet(meet(X_12,X_12),join(X_12,X_12)),meet(join(X_12,X_12),X_12)) = join(X_12,X_12),
inference(resolve,[$cnf( $equal(join(meet(meet(X_12,X_12),join(X_12,X_12)),meet(join(X_12,X_12),join(meet(X_12,X_12),join(X_12,X_12)))),join(X_12,X_12)) )],[refute_0_49,refute_0_57]) ).
cnf(refute_0_59,plain,
meet(X_12,X_12) = X_12,
inference(subst,[],[refute_0_40:[bind(X_38,$fot(X_12))]]) ).
cnf(refute_0_60,plain,
meet(meet(X_12,X_12),join(X_12,X_12)) = meet(meet(X_12,X_12),join(X_12,X_12)),
introduced(tautology,[refl,[$fot(meet(meet(X_12,X_12),join(X_12,X_12)))]]) ).
cnf(refute_0_61,plain,
( meet(X_12,X_12) != X_12
| meet(meet(X_12,X_12),join(X_12,X_12)) != meet(meet(X_12,X_12),join(X_12,X_12))
| meet(meet(X_12,X_12),join(X_12,X_12)) = meet(X_12,join(X_12,X_12)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_12,X_12),join(X_12,X_12)),meet(meet(X_12,X_12),join(X_12,X_12))) ),[1,0],$fot(X_12)]]) ).
cnf(refute_0_62,plain,
( meet(X_12,X_12) != X_12
| meet(meet(X_12,X_12),join(X_12,X_12)) = meet(X_12,join(X_12,X_12)) ),
inference(resolve,[$cnf( $equal(meet(meet(X_12,X_12),join(X_12,X_12)),meet(meet(X_12,X_12),join(X_12,X_12))) )],[refute_0_60,refute_0_61]) ).
cnf(refute_0_63,plain,
meet(meet(X_12,X_12),join(X_12,X_12)) = meet(X_12,join(X_12,X_12)),
inference(resolve,[$cnf( $equal(meet(X_12,X_12),X_12) )],[refute_0_59,refute_0_62]) ).
cnf(refute_0_64,plain,
join(meet(meet(X_12,X_12),join(X_12,X_12)),meet(join(X_12,X_12),X_12)) = join(meet(meet(X_12,X_12),join(X_12,X_12)),meet(join(X_12,X_12),X_12)),
introduced(tautology,[refl,[$fot(join(meet(meet(X_12,X_12),join(X_12,X_12)),meet(join(X_12,X_12),X_12)))]]) ).
cnf(refute_0_65,plain,
( join(meet(meet(X_12,X_12),join(X_12,X_12)),meet(join(X_12,X_12),X_12)) != join(meet(meet(X_12,X_12),join(X_12,X_12)),meet(join(X_12,X_12),X_12))
| meet(meet(X_12,X_12),join(X_12,X_12)) != meet(X_12,join(X_12,X_12))
| join(meet(meet(X_12,X_12),join(X_12,X_12)),meet(join(X_12,X_12),X_12)) = join(meet(X_12,join(X_12,X_12)),meet(join(X_12,X_12),X_12)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(X_12,X_12),join(X_12,X_12)),meet(join(X_12,X_12),X_12)),join(meet(meet(X_12,X_12),join(X_12,X_12)),meet(join(X_12,X_12),X_12))) ),[1,0],$fot(meet(X_12,join(X_12,X_12)))]]) ).
cnf(refute_0_66,plain,
( meet(meet(X_12,X_12),join(X_12,X_12)) != meet(X_12,join(X_12,X_12))
| join(meet(meet(X_12,X_12),join(X_12,X_12)),meet(join(X_12,X_12),X_12)) = join(meet(X_12,join(X_12,X_12)),meet(join(X_12,X_12),X_12)) ),
inference(resolve,[$cnf( $equal(join(meet(meet(X_12,X_12),join(X_12,X_12)),meet(join(X_12,X_12),X_12)),join(meet(meet(X_12,X_12),join(X_12,X_12)),meet(join(X_12,X_12),X_12))) )],[refute_0_64,refute_0_65]) ).
cnf(refute_0_67,plain,
join(meet(meet(X_12,X_12),join(X_12,X_12)),meet(join(X_12,X_12),X_12)) = join(meet(X_12,join(X_12,X_12)),meet(join(X_12,X_12),X_12)),
inference(resolve,[$cnf( $equal(meet(meet(X_12,X_12),join(X_12,X_12)),meet(X_12,join(X_12,X_12))) )],[refute_0_63,refute_0_66]) ).
cnf(refute_0_68,plain,
( join(meet(meet(X_12,X_12),join(X_12,X_12)),meet(join(X_12,X_12),X_12)) != join(X_12,X_12)
| join(meet(meet(X_12,X_12),join(X_12,X_12)),meet(join(X_12,X_12),X_12)) != join(meet(X_12,join(X_12,X_12)),meet(join(X_12,X_12),X_12))
| join(meet(X_12,join(X_12,X_12)),meet(join(X_12,X_12),X_12)) = join(X_12,X_12) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(X_12,X_12),join(X_12,X_12)),meet(join(X_12,X_12),X_12)),join(X_12,X_12)) ),[0],$fot(join(meet(X_12,join(X_12,X_12)),meet(join(X_12,X_12),X_12)))]]) ).
cnf(refute_0_69,plain,
( join(meet(meet(X_12,X_12),join(X_12,X_12)),meet(join(X_12,X_12),X_12)) != join(X_12,X_12)
| join(meet(X_12,join(X_12,X_12)),meet(join(X_12,X_12),X_12)) = join(X_12,X_12) ),
inference(resolve,[$cnf( $equal(join(meet(meet(X_12,X_12),join(X_12,X_12)),meet(join(X_12,X_12),X_12)),join(meet(X_12,join(X_12,X_12)),meet(join(X_12,X_12),X_12))) )],[refute_0_67,refute_0_68]) ).
cnf(refute_0_70,plain,
join(meet(X_12,join(X_12,X_12)),meet(join(X_12,X_12),X_12)) = join(X_12,X_12),
inference(resolve,[$cnf( $equal(join(meet(meet(X_12,X_12),join(X_12,X_12)),meet(join(X_12,X_12),X_12)),join(X_12,X_12)) )],[refute_0_58,refute_0_69]) ).
cnf(refute_0_71,plain,
join(meet(meet(X_12,X_12),join(X_12,X_12)),meet(meet(X_12,X_12),join(meet(X_12,X_12),join(X_12,X_12)))) = meet(X_12,X_12),
inference(subst,[],[wal_absorbtion_1:[bind(A,$fot(meet(X_12,X_12))),bind(B,$fot(join(X_12,X_12)))]]) ).
cnf(refute_0_72,plain,
( join(meet(X_12,X_12),join(X_12,X_12)) != X_12
| join(meet(meet(X_12,X_12),join(X_12,X_12)),meet(meet(X_12,X_12),join(meet(X_12,X_12),join(X_12,X_12)))) != meet(X_12,X_12)
| join(meet(meet(X_12,X_12),join(X_12,X_12)),meet(meet(X_12,X_12),X_12)) = meet(X_12,X_12) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(X_12,X_12),join(X_12,X_12)),meet(meet(X_12,X_12),join(meet(X_12,X_12),join(X_12,X_12)))),meet(X_12,X_12)) ),[0,1,1],$fot(X_12)]]) ).
cnf(refute_0_73,plain,
( join(meet(meet(X_12,X_12),join(X_12,X_12)),meet(meet(X_12,X_12),join(meet(X_12,X_12),join(X_12,X_12)))) != meet(X_12,X_12)
| join(meet(meet(X_12,X_12),join(X_12,X_12)),meet(meet(X_12,X_12),X_12)) = meet(X_12,X_12) ),
inference(resolve,[$cnf( $equal(join(meet(X_12,X_12),join(X_12,X_12)),X_12) )],[refute_0_55,refute_0_72]) ).
cnf(refute_0_74,plain,
join(meet(meet(X_12,X_12),join(X_12,X_12)),meet(meet(X_12,X_12),X_12)) = meet(X_12,X_12),
inference(resolve,[$cnf( $equal(join(meet(meet(X_12,X_12),join(X_12,X_12)),meet(meet(X_12,X_12),join(meet(X_12,X_12),join(X_12,X_12)))),meet(X_12,X_12)) )],[refute_0_71,refute_0_73]) ).
cnf(refute_0_75,plain,
meet(meet(join(meet(A,B),meet(B,join(A,B))),meet(A,B)),meet(A,B)) = meet(A,B),
inference(subst,[],[refute_0_9:[bind(X_10,$fot(meet(B,join(A,B)))),bind(X_9,$fot(meet(A,B)))]]) ).
cnf(refute_0_76,plain,
( join(meet(A,B),meet(B,join(A,B))) != B
| meet(meet(join(meet(A,B),meet(B,join(A,B))),meet(A,B)),meet(A,B)) != meet(A,B)
| meet(meet(B,meet(A,B)),meet(A,B)) = meet(A,B) ),
introduced(tautology,[equality,[$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_77,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( $equal(join(meet(A,B),meet(B,join(A,B))),B) )],[wal_absorbtion_3,refute_0_76]) ).
cnf(refute_0_78,plain,
meet(meet(B,meet(A,B)),meet(A,B)) = meet(A,B),
inference(resolve,[$cnf( $equal(meet(meet(join(meet(A,B),meet(B,join(A,B))),meet(A,B)),meet(A,B)),meet(A,B)) )],[refute_0_75,refute_0_77]) ).
cnf(refute_0_79,plain,
meet(meet(X_35,meet(meet(join(X_35,B),join(C,X_35)),X_35)),meet(meet(join(X_35,B),join(C,X_35)),X_35)) = meet(meet(join(X_35,B),join(C,X_35)),X_35),
inference(subst,[],[refute_0_78:[bind(A,$fot(meet(join(X_35,B),join(C,X_35)))),bind(B,$fot(X_35))]]) ).
cnf(refute_0_80,plain,
meet(meet(join(X_35,B),join(C,X_35)),X_35) = X_35,
inference(subst,[],[wal_absorbtion_4:[bind(A,$fot(X_35))]]) ).
cnf(refute_0_81,plain,
( meet(meet(X_35,meet(meet(join(X_35,B),join(C,X_35)),X_35)),meet(meet(join(X_35,B),join(C,X_35)),X_35)) != meet(meet(join(X_35,B),join(C,X_35)),X_35)
| meet(meet(join(X_35,B),join(C,X_35)),X_35) != X_35
| meet(meet(X_35,meet(meet(join(X_35,B),join(C,X_35)),X_35)),X_35) = meet(meet(join(X_35,B),join(C,X_35)),X_35) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_35,meet(meet(join(X_35,B),join(C,X_35)),X_35)),meet(meet(join(X_35,B),join(C,X_35)),X_35)),meet(meet(join(X_35,B),join(C,X_35)),X_35)) ),[0,1],$fot(X_35)]]) ).
cnf(refute_0_82,plain,
( meet(meet(X_35,meet(meet(join(X_35,B),join(C,X_35)),X_35)),meet(meet(join(X_35,B),join(C,X_35)),X_35)) != meet(meet(join(X_35,B),join(C,X_35)),X_35)
| meet(meet(X_35,meet(meet(join(X_35,B),join(C,X_35)),X_35)),X_35) = meet(meet(join(X_35,B),join(C,X_35)),X_35) ),
inference(resolve,[$cnf( $equal(meet(meet(join(X_35,B),join(C,X_35)),X_35),X_35) )],[refute_0_80,refute_0_81]) ).
cnf(refute_0_83,plain,
meet(meet(X_35,meet(meet(join(X_35,B),join(C,X_35)),X_35)),X_35) = meet(meet(join(X_35,B),join(C,X_35)),X_35),
inference(resolve,[$cnf( $equal(meet(meet(X_35,meet(meet(join(X_35,B),join(C,X_35)),X_35)),meet(meet(join(X_35,B),join(C,X_35)),X_35)),meet(meet(join(X_35,B),join(C,X_35)),X_35)) )],[refute_0_79,refute_0_82]) ).
cnf(refute_0_84,plain,
meet(X_35,meet(meet(join(X_35,B),join(C,X_35)),X_35)) = meet(X_35,meet(meet(join(X_35,B),join(C,X_35)),X_35)),
introduced(tautology,[refl,[$fot(meet(X_35,meet(meet(join(X_35,B),join(C,X_35)),X_35)))]]) ).
cnf(refute_0_85,plain,
( meet(X_35,meet(meet(join(X_35,B),join(C,X_35)),X_35)) != meet(X_35,meet(meet(join(X_35,B),join(C,X_35)),X_35))
| meet(meet(join(X_35,B),join(C,X_35)),X_35) != X_35
| meet(X_35,meet(meet(join(X_35,B),join(C,X_35)),X_35)) = meet(X_35,X_35) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_35,meet(meet(join(X_35,B),join(C,X_35)),X_35)),meet(X_35,meet(meet(join(X_35,B),join(C,X_35)),X_35))) ),[1,1],$fot(X_35)]]) ).
cnf(refute_0_86,plain,
( meet(meet(join(X_35,B),join(C,X_35)),X_35) != X_35
| meet(X_35,meet(meet(join(X_35,B),join(C,X_35)),X_35)) = meet(X_35,X_35) ),
inference(resolve,[$cnf( $equal(meet(X_35,meet(meet(join(X_35,B),join(C,X_35)),X_35)),meet(X_35,meet(meet(join(X_35,B),join(C,X_35)),X_35))) )],[refute_0_84,refute_0_85]) ).
cnf(refute_0_87,plain,
meet(X_35,meet(meet(join(X_35,B),join(C,X_35)),X_35)) = meet(X_35,X_35),
inference(resolve,[$cnf( $equal(meet(meet(join(X_35,B),join(C,X_35)),X_35),X_35) )],[refute_0_80,refute_0_86]) ).
cnf(refute_0_88,plain,
meet(meet(X_35,meet(meet(join(X_35,B),join(C,X_35)),X_35)),X_35) = meet(meet(X_35,meet(meet(join(X_35,B),join(C,X_35)),X_35)),X_35),
introduced(tautology,[refl,[$fot(meet(meet(X_35,meet(meet(join(X_35,B),join(C,X_35)),X_35)),X_35))]]) ).
cnf(refute_0_89,plain,
( meet(X_35,meet(meet(join(X_35,B),join(C,X_35)),X_35)) != meet(X_35,X_35)
| meet(meet(X_35,meet(meet(join(X_35,B),join(C,X_35)),X_35)),X_35) != meet(meet(X_35,meet(meet(join(X_35,B),join(C,X_35)),X_35)),X_35)
| meet(meet(X_35,meet(meet(join(X_35,B),join(C,X_35)),X_35)),X_35) = meet(meet(X_35,X_35),X_35) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_35,meet(meet(join(X_35,B),join(C,X_35)),X_35)),X_35),meet(meet(X_35,meet(meet(join(X_35,B),join(C,X_35)),X_35)),X_35)) ),[1,0],$fot(meet(X_35,X_35))]]) ).
cnf(refute_0_90,plain,
( meet(X_35,meet(meet(join(X_35,B),join(C,X_35)),X_35)) != meet(X_35,X_35)
| meet(meet(X_35,meet(meet(join(X_35,B),join(C,X_35)),X_35)),X_35) = meet(meet(X_35,X_35),X_35) ),
inference(resolve,[$cnf( $equal(meet(meet(X_35,meet(meet(join(X_35,B),join(C,X_35)),X_35)),X_35),meet(meet(X_35,meet(meet(join(X_35,B),join(C,X_35)),X_35)),X_35)) )],[refute_0_88,refute_0_89]) ).
cnf(refute_0_91,plain,
meet(meet(X_35,meet(meet(join(X_35,B),join(C,X_35)),X_35)),X_35) = meet(meet(X_35,X_35),X_35),
inference(resolve,[$cnf( $equal(meet(X_35,meet(meet(join(X_35,B),join(C,X_35)),X_35)),meet(X_35,X_35)) )],[refute_0_87,refute_0_90]) ).
cnf(refute_0_92,plain,
( meet(meet(X_35,meet(meet(join(X_35,B),join(C,X_35)),X_35)),X_35) != meet(meet(X_35,X_35),X_35)
| meet(meet(X_35,meet(meet(join(X_35,B),join(C,X_35)),X_35)),X_35) != meet(meet(join(X_35,B),join(C,X_35)),X_35)
| meet(meet(X_35,X_35),X_35) = meet(meet(join(X_35,B),join(C,X_35)),X_35) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_35,meet(meet(join(X_35,B),join(C,X_35)),X_35)),X_35),meet(meet(join(X_35,B),join(C,X_35)),X_35)) ),[0],$fot(meet(meet(X_35,X_35),X_35))]]) ).
cnf(refute_0_93,plain,
( meet(meet(X_35,meet(meet(join(X_35,B),join(C,X_35)),X_35)),X_35) != meet(meet(join(X_35,B),join(C,X_35)),X_35)
| meet(meet(X_35,X_35),X_35) = meet(meet(join(X_35,B),join(C,X_35)),X_35) ),
inference(resolve,[$cnf( $equal(meet(meet(X_35,meet(meet(join(X_35,B),join(C,X_35)),X_35)),X_35),meet(meet(X_35,X_35),X_35)) )],[refute_0_91,refute_0_92]) ).
cnf(refute_0_94,plain,
( meet(meet(X_35,X_35),X_35) != meet(meet(join(X_35,B),join(C,X_35)),X_35)
| meet(meet(join(X_35,B),join(C,X_35)),X_35) != X_35
| meet(meet(X_35,X_35),X_35) = X_35 ),
introduced(tautology,[equality,[$cnf( ~ $equal(meet(meet(X_35,X_35),X_35),X_35) ),[0],$fot(meet(meet(join(X_35,B),join(C,X_35)),X_35))]]) ).
cnf(refute_0_95,plain,
( meet(meet(X_35,X_35),X_35) != meet(meet(join(X_35,B),join(C,X_35)),X_35)
| meet(meet(X_35,X_35),X_35) = X_35 ),
inference(resolve,[$cnf( $equal(meet(meet(join(X_35,B),join(C,X_35)),X_35),X_35) )],[refute_0_80,refute_0_94]) ).
cnf(refute_0_96,plain,
( meet(meet(X_35,meet(meet(join(X_35,B),join(C,X_35)),X_35)),X_35) != meet(meet(join(X_35,B),join(C,X_35)),X_35)
| meet(meet(X_35,X_35),X_35) = X_35 ),
inference(resolve,[$cnf( $equal(meet(meet(X_35,X_35),X_35),meet(meet(join(X_35,B),join(C,X_35)),X_35)) )],[refute_0_93,refute_0_95]) ).
cnf(refute_0_97,plain,
meet(meet(X_35,X_35),X_35) = X_35,
inference(resolve,[$cnf( $equal(meet(meet(X_35,meet(meet(join(X_35,B),join(C,X_35)),X_35)),X_35),meet(meet(join(X_35,B),join(C,X_35)),X_35)) )],[refute_0_83,refute_0_96]) ).
cnf(refute_0_98,plain,
meet(meet(X_12,X_12),X_12) = X_12,
inference(subst,[],[refute_0_97:[bind(X_35,$fot(X_12))]]) ).
cnf(refute_0_99,plain,
join(meet(meet(X_12,X_12),join(X_12,X_12)),meet(meet(X_12,X_12),X_12)) = join(meet(meet(X_12,X_12),join(X_12,X_12)),meet(meet(X_12,X_12),X_12)),
introduced(tautology,[refl,[$fot(join(meet(meet(X_12,X_12),join(X_12,X_12)),meet(meet(X_12,X_12),X_12)))]]) ).
cnf(refute_0_100,plain,
( join(meet(meet(X_12,X_12),join(X_12,X_12)),meet(meet(X_12,X_12),X_12)) != join(meet(meet(X_12,X_12),join(X_12,X_12)),meet(meet(X_12,X_12),X_12))
| meet(meet(X_12,X_12),X_12) != X_12
| join(meet(meet(X_12,X_12),join(X_12,X_12)),meet(meet(X_12,X_12),X_12)) = join(meet(meet(X_12,X_12),join(X_12,X_12)),X_12) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(X_12,X_12),join(X_12,X_12)),meet(meet(X_12,X_12),X_12)),join(meet(meet(X_12,X_12),join(X_12,X_12)),meet(meet(X_12,X_12),X_12))) ),[1,1],$fot(X_12)]]) ).
cnf(refute_0_101,plain,
( meet(meet(X_12,X_12),X_12) != X_12
| join(meet(meet(X_12,X_12),join(X_12,X_12)),meet(meet(X_12,X_12),X_12)) = join(meet(meet(X_12,X_12),join(X_12,X_12)),X_12) ),
inference(resolve,[$cnf( $equal(join(meet(meet(X_12,X_12),join(X_12,X_12)),meet(meet(X_12,X_12),X_12)),join(meet(meet(X_12,X_12),join(X_12,X_12)),meet(meet(X_12,X_12),X_12))) )],[refute_0_99,refute_0_100]) ).
cnf(refute_0_102,plain,
join(meet(meet(X_12,X_12),join(X_12,X_12)),meet(meet(X_12,X_12),X_12)) = join(meet(meet(X_12,X_12),join(X_12,X_12)),X_12),
inference(resolve,[$cnf( $equal(meet(meet(X_12,X_12),X_12),X_12) )],[refute_0_98,refute_0_101]) ).
cnf(refute_0_103,plain,
( join(meet(meet(X_12,X_12),join(X_12,X_12)),meet(meet(X_12,X_12),X_12)) != join(meet(meet(X_12,X_12),join(X_12,X_12)),X_12)
| join(meet(meet(X_12,X_12),join(X_12,X_12)),meet(meet(X_12,X_12),X_12)) != meet(X_12,X_12)
| join(meet(meet(X_12,X_12),join(X_12,X_12)),X_12) = meet(X_12,X_12) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(X_12,X_12),join(X_12,X_12)),meet(meet(X_12,X_12),X_12)),meet(X_12,X_12)) ),[0],$fot(join(meet(meet(X_12,X_12),join(X_12,X_12)),X_12))]]) ).
cnf(refute_0_104,plain,
( join(meet(meet(X_12,X_12),join(X_12,X_12)),meet(meet(X_12,X_12),X_12)) != meet(X_12,X_12)
| join(meet(meet(X_12,X_12),join(X_12,X_12)),X_12) = meet(X_12,X_12) ),
inference(resolve,[$cnf( $equal(join(meet(meet(X_12,X_12),join(X_12,X_12)),meet(meet(X_12,X_12),X_12)),join(meet(meet(X_12,X_12),join(X_12,X_12)),X_12)) )],[refute_0_102,refute_0_103]) ).
cnf(refute_0_105,plain,
join(meet(meet(X_12,X_12),join(X_12,X_12)),X_12) = meet(X_12,X_12),
inference(resolve,[$cnf( $equal(join(meet(meet(X_12,X_12),join(X_12,X_12)),meet(meet(X_12,X_12),X_12)),meet(X_12,X_12)) )],[refute_0_74,refute_0_104]) ).
cnf(refute_0_106,plain,
join(meet(meet(X_12,X_12),join(X_12,X_12)),X_12) = join(meet(meet(X_12,X_12),join(X_12,X_12)),X_12),
introduced(tautology,[refl,[$fot(join(meet(meet(X_12,X_12),join(X_12,X_12)),X_12))]]) ).
cnf(refute_0_107,plain,
( join(meet(meet(X_12,X_12),join(X_12,X_12)),X_12) != join(meet(meet(X_12,X_12),join(X_12,X_12)),X_12)
| meet(meet(X_12,X_12),join(X_12,X_12)) != meet(X_12,join(X_12,X_12))
| join(meet(meet(X_12,X_12),join(X_12,X_12)),X_12) = join(meet(X_12,join(X_12,X_12)),X_12) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(X_12,X_12),join(X_12,X_12)),X_12),join(meet(meet(X_12,X_12),join(X_12,X_12)),X_12)) ),[1,0],$fot(meet(X_12,join(X_12,X_12)))]]) ).
cnf(refute_0_108,plain,
( meet(meet(X_12,X_12),join(X_12,X_12)) != meet(X_12,join(X_12,X_12))
| join(meet(meet(X_12,X_12),join(X_12,X_12)),X_12) = join(meet(X_12,join(X_12,X_12)),X_12) ),
inference(resolve,[$cnf( $equal(join(meet(meet(X_12,X_12),join(X_12,X_12)),X_12),join(meet(meet(X_12,X_12),join(X_12,X_12)),X_12)) )],[refute_0_106,refute_0_107]) ).
cnf(refute_0_109,plain,
join(meet(meet(X_12,X_12),join(X_12,X_12)),X_12) = join(meet(X_12,join(X_12,X_12)),X_12),
inference(resolve,[$cnf( $equal(meet(meet(X_12,X_12),join(X_12,X_12)),meet(X_12,join(X_12,X_12))) )],[refute_0_63,refute_0_108]) ).
cnf(refute_0_110,plain,
( join(meet(meet(X_12,X_12),join(X_12,X_12)),X_12) != join(meet(X_12,join(X_12,X_12)),X_12)
| join(meet(meet(X_12,X_12),join(X_12,X_12)),X_12) != meet(X_12,X_12)
| join(meet(X_12,join(X_12,X_12)),X_12) = meet(X_12,X_12) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(X_12,X_12),join(X_12,X_12)),X_12),meet(X_12,X_12)) ),[0],$fot(join(meet(X_12,join(X_12,X_12)),X_12))]]) ).
cnf(refute_0_111,plain,
( join(meet(meet(X_12,X_12),join(X_12,X_12)),X_12) != meet(X_12,X_12)
| join(meet(X_12,join(X_12,X_12)),X_12) = meet(X_12,X_12) ),
inference(resolve,[$cnf( $equal(join(meet(meet(X_12,X_12),join(X_12,X_12)),X_12),join(meet(X_12,join(X_12,X_12)),X_12)) )],[refute_0_109,refute_0_110]) ).
cnf(refute_0_112,plain,
( join(meet(X_12,join(X_12,X_12)),X_12) != meet(X_12,X_12)
| meet(X_12,X_12) != X_12
| join(meet(X_12,join(X_12,X_12)),X_12) = X_12 ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(meet(X_12,join(X_12,X_12)),X_12),X_12) ),[0],$fot(meet(X_12,X_12))]]) ).
cnf(refute_0_113,plain,
( join(meet(X_12,join(X_12,X_12)),X_12) != meet(X_12,X_12)
| join(meet(X_12,join(X_12,X_12)),X_12) = X_12 ),
inference(resolve,[$cnf( $equal(meet(X_12,X_12),X_12) )],[refute_0_59,refute_0_112]) ).
cnf(refute_0_114,plain,
( join(meet(meet(X_12,X_12),join(X_12,X_12)),X_12) != meet(X_12,X_12)
| join(meet(X_12,join(X_12,X_12)),X_12) = X_12 ),
inference(resolve,[$cnf( $equal(join(meet(X_12,join(X_12,X_12)),X_12),meet(X_12,X_12)) )],[refute_0_111,refute_0_113]) ).
cnf(refute_0_115,plain,
join(meet(X_12,join(X_12,X_12)),X_12) = X_12,
inference(resolve,[$cnf( $equal(join(meet(meet(X_12,X_12),join(X_12,X_12)),X_12),meet(X_12,X_12)) )],[refute_0_105,refute_0_114]) ).
cnf(refute_0_116,plain,
meet(meet(join(C,C),join(C,C)),C) = C,
inference(subst,[],[wal_absorbtion_4:[bind(A,$fot(C)),bind(B,$fot(C))]]) ).
cnf(refute_0_117,plain,
meet(join(C,C),join(C,C)) = join(C,C),
inference(subst,[],[refute_0_40:[bind(X_38,$fot(join(C,C)))]]) ).
cnf(refute_0_118,plain,
( meet(join(C,C),join(C,C)) != join(C,C)
| meet(meet(join(C,C),join(C,C)),C) != C
| meet(join(C,C),C) = C ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(join(C,C),join(C,C)),C),C) ),[0,0],$fot(join(C,C))]]) ).
cnf(refute_0_119,plain,
( meet(meet(join(C,C),join(C,C)),C) != C
| meet(join(C,C),C) = C ),
inference(resolve,[$cnf( $equal(meet(join(C,C),join(C,C)),join(C,C)) )],[refute_0_117,refute_0_118]) ).
cnf(refute_0_120,plain,
meet(join(C,C),C) = C,
inference(resolve,[$cnf( $equal(meet(meet(join(C,C),join(C,C)),C),C) )],[refute_0_116,refute_0_119]) ).
cnf(refute_0_121,plain,
meet(join(X_12,X_12),X_12) = X_12,
inference(subst,[],[refute_0_120:[bind(C,$fot(X_12))]]) ).
cnf(refute_0_122,plain,
join(meet(X_12,join(X_12,X_12)),meet(join(X_12,X_12),X_12)) = join(meet(X_12,join(X_12,X_12)),meet(join(X_12,X_12),X_12)),
introduced(tautology,[refl,[$fot(join(meet(X_12,join(X_12,X_12)),meet(join(X_12,X_12),X_12)))]]) ).
cnf(refute_0_123,plain,
( join(meet(X_12,join(X_12,X_12)),meet(join(X_12,X_12),X_12)) != join(meet(X_12,join(X_12,X_12)),meet(join(X_12,X_12),X_12))
| meet(join(X_12,X_12),X_12) != X_12
| join(meet(X_12,join(X_12,X_12)),meet(join(X_12,X_12),X_12)) = join(meet(X_12,join(X_12,X_12)),X_12) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_12,join(X_12,X_12)),meet(join(X_12,X_12),X_12)),join(meet(X_12,join(X_12,X_12)),meet(join(X_12,X_12),X_12))) ),[1,1],$fot(X_12)]]) ).
cnf(refute_0_124,plain,
( meet(join(X_12,X_12),X_12) != X_12
| join(meet(X_12,join(X_12,X_12)),meet(join(X_12,X_12),X_12)) = join(meet(X_12,join(X_12,X_12)),X_12) ),
inference(resolve,[$cnf( $equal(join(meet(X_12,join(X_12,X_12)),meet(join(X_12,X_12),X_12)),join(meet(X_12,join(X_12,X_12)),meet(join(X_12,X_12),X_12))) )],[refute_0_122,refute_0_123]) ).
cnf(refute_0_125,plain,
join(meet(X_12,join(X_12,X_12)),meet(join(X_12,X_12),X_12)) = join(meet(X_12,join(X_12,X_12)),X_12),
inference(resolve,[$cnf( $equal(meet(join(X_12,X_12),X_12),X_12) )],[refute_0_121,refute_0_124]) ).
cnf(refute_0_126,plain,
( join(meet(X_12,join(X_12,X_12)),X_12) != X_12
| join(meet(X_12,join(X_12,X_12)),meet(join(X_12,X_12),X_12)) != join(meet(X_12,join(X_12,X_12)),X_12)
| join(meet(X_12,join(X_12,X_12)),meet(join(X_12,X_12),X_12)) = X_12 ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(meet(X_12,join(X_12,X_12)),meet(join(X_12,X_12),X_12)))),bind(Y,$fot(join(meet(X_12,join(X_12,X_12)),X_12))),bind(Z,$fot(X_12))]]) ).
cnf(refute_0_127,plain,
( join(meet(X_12,join(X_12,X_12)),X_12) != X_12
| join(meet(X_12,join(X_12,X_12)),meet(join(X_12,X_12),X_12)) = X_12 ),
inference(resolve,[$cnf( $equal(join(meet(X_12,join(X_12,X_12)),meet(join(X_12,X_12),X_12)),join(meet(X_12,join(X_12,X_12)),X_12)) )],[refute_0_125,refute_0_126]) ).
cnf(refute_0_128,plain,
join(meet(X_12,join(X_12,X_12)),meet(join(X_12,X_12),X_12)) = X_12,
inference(resolve,[$cnf( $equal(join(meet(X_12,join(X_12,X_12)),X_12),X_12) )],[refute_0_115,refute_0_127]) ).
cnf(refute_0_129,plain,
( join(meet(X_12,join(X_12,X_12)),meet(join(X_12,X_12),X_12)) != X_12
| join(meet(X_12,join(X_12,X_12)),meet(join(X_12,X_12),X_12)) != join(X_12,X_12)
| X_12 = join(X_12,X_12) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_12,join(X_12,X_12)),meet(join(X_12,X_12),X_12)),join(X_12,X_12)) ),[0],$fot(X_12)]]) ).
cnf(refute_0_130,plain,
( join(meet(X_12,join(X_12,X_12)),meet(join(X_12,X_12),X_12)) != join(X_12,X_12)
| X_12 = join(X_12,X_12) ),
inference(resolve,[$cnf( $equal(join(meet(X_12,join(X_12,X_12)),meet(join(X_12,X_12),X_12)),X_12) )],[refute_0_128,refute_0_129]) ).
cnf(refute_0_131,plain,
X_12 = join(X_12,X_12),
inference(resolve,[$cnf( $equal(join(meet(X_12,join(X_12,X_12)),meet(join(X_12,X_12),X_12)),join(X_12,X_12)) )],[refute_0_70,refute_0_130]) ).
cnf(refute_0_132,plain,
( X_12 != join(X_12,X_12)
| join(X_12,X_12) = X_12 ),
inference(subst,[],[refute_0_25:[bind(X,$fot(X_12)),bind(Y,$fot(join(X_12,X_12)))]]) ).
cnf(refute_0_133,plain,
join(X_12,X_12) = X_12,
inference(resolve,[$cnf( $equal(X_12,join(X_12,X_12)) )],[refute_0_131,refute_0_132]) ).
cnf(refute_0_134,plain,
join(A,A) = A,
inference(subst,[],[refute_0_133:[bind(X_12,$fot(A))]]) ).
cnf(refute_0_135,plain,
meet(B,join(A,A)) = meet(B,join(A,A)),
introduced(tautology,[refl,[$fot(meet(B,join(A,A)))]]) ).
cnf(refute_0_136,plain,
( join(A,A) != A
| meet(B,join(A,A)) != meet(B,join(A,A))
| meet(B,join(A,A)) = meet(B,A) ),
introduced(tautology,[equality,[$cnf( $equal(meet(B,join(A,A)),meet(B,join(A,A))) ),[1,1],$fot(A)]]) ).
cnf(refute_0_137,plain,
( join(A,A) != A
| meet(B,join(A,A)) = meet(B,A) ),
inference(resolve,[$cnf( $equal(meet(B,join(A,A)),meet(B,join(A,A))) )],[refute_0_135,refute_0_136]) ).
cnf(refute_0_138,plain,
meet(B,join(A,A)) = meet(B,A),
inference(resolve,[$cnf( $equal(join(A,A),A) )],[refute_0_134,refute_0_137]) ).
cnf(refute_0_139,plain,
join(A,meet(B,join(A,A))) = join(A,meet(B,join(A,A))),
introduced(tautology,[refl,[$fot(join(A,meet(B,join(A,A))))]]) ).
cnf(refute_0_140,plain,
( join(A,meet(B,join(A,A))) != join(A,meet(B,join(A,A)))
| meet(B,join(A,A)) != meet(B,A)
| join(A,meet(B,join(A,A))) = join(A,meet(B,A)) ),
introduced(tautology,[equality,[$cnf( $equal(join(A,meet(B,join(A,A))),join(A,meet(B,join(A,A)))) ),[1,1],$fot(meet(B,A))]]) ).
cnf(refute_0_141,plain,
( meet(B,join(A,A)) != meet(B,A)
| join(A,meet(B,join(A,A))) = join(A,meet(B,A)) ),
inference(resolve,[$cnf( $equal(join(A,meet(B,join(A,A))),join(A,meet(B,join(A,A)))) )],[refute_0_139,refute_0_140]) ).
cnf(refute_0_142,plain,
join(A,meet(B,join(A,A))) = join(A,meet(B,A)),
inference(resolve,[$cnf( $equal(meet(B,join(A,A)),meet(B,A)) )],[refute_0_138,refute_0_141]) ).
cnf(refute_0_143,plain,
( join(A,meet(B,join(A,A))) != A
| join(A,meet(B,join(A,A))) != join(A,meet(B,A))
| join(A,meet(B,A)) = A ),
introduced(tautology,[equality,[$cnf( $equal(join(A,meet(B,join(A,A))),A) ),[0],$fot(join(A,meet(B,A)))]]) ).
cnf(refute_0_144,plain,
( join(A,meet(B,join(A,A))) != A
| join(A,meet(B,A)) = A ),
inference(resolve,[$cnf( $equal(join(A,meet(B,join(A,A))),join(A,meet(B,A))) )],[refute_0_142,refute_0_143]) ).
cnf(refute_0_145,plain,
join(A,meet(B,A)) = A,
inference(resolve,[$cnf( $equal(join(A,meet(B,join(A,A))),A) )],[refute_0_48,refute_0_144]) ).
cnf(refute_0_146,plain,
join(X_79,meet(meet(X_79,X_3),X_79)) = X_79,
inference(subst,[],[refute_0_145:[bind(A,$fot(X_79)),bind(B,$fot(meet(X_79,X_3)))]]) ).
cnf(refute_0_147,plain,
join(meet(meet(X_2,X_3),meet(X_2,join(X_2,X_3))),meet(meet(X_2,X_3),join(meet(X_2,X_3),meet(X_2,join(X_2,X_3))))) = meet(X_2,X_3),
inference(subst,[],[wal_absorbtion_1:[bind(A,$fot(meet(X_2,X_3))),bind(B,$fot(meet(X_2,join(X_2,X_3))))]]) ).
cnf(refute_0_148,plain,
join(meet(X_2,X_3),meet(X_2,join(X_2,X_3))) = X_2,
inference(subst,[],[wal_absorbtion_1:[bind(A,$fot(X_2)),bind(B,$fot(X_3))]]) ).
cnf(refute_0_149,plain,
( join(meet(X_2,X_3),meet(X_2,join(X_2,X_3))) != X_2
| join(meet(meet(X_2,X_3),meet(X_2,join(X_2,X_3))),meet(meet(X_2,X_3),join(meet(X_2,X_3),meet(X_2,join(X_2,X_3))))) != meet(X_2,X_3)
| join(meet(meet(X_2,X_3),meet(X_2,join(X_2,X_3))),meet(meet(X_2,X_3),X_2)) = meet(X_2,X_3) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(X_2,X_3),meet(X_2,join(X_2,X_3))),meet(meet(X_2,X_3),join(meet(X_2,X_3),meet(X_2,join(X_2,X_3))))),meet(X_2,X_3)) ),[0,1,1],$fot(X_2)]]) ).
cnf(refute_0_150,plain,
( join(meet(meet(X_2,X_3),meet(X_2,join(X_2,X_3))),meet(meet(X_2,X_3),join(meet(X_2,X_3),meet(X_2,join(X_2,X_3))))) != meet(X_2,X_3)
| join(meet(meet(X_2,X_3),meet(X_2,join(X_2,X_3))),meet(meet(X_2,X_3),X_2)) = meet(X_2,X_3) ),
inference(resolve,[$cnf( $equal(join(meet(X_2,X_3),meet(X_2,join(X_2,X_3))),X_2) )],[refute_0_148,refute_0_149]) ).
cnf(refute_0_151,plain,
join(meet(meet(X_2,X_3),meet(X_2,join(X_2,X_3))),meet(meet(X_2,X_3),X_2)) = meet(X_2,X_3),
inference(resolve,[$cnf( $equal(join(meet(meet(X_2,X_3),meet(X_2,join(X_2,X_3))),meet(meet(X_2,X_3),join(meet(X_2,X_3),meet(X_2,join(X_2,X_3))))),meet(X_2,X_3)) )],[refute_0_147,refute_0_150]) ).
cnf(refute_0_152,plain,
join(meet(meet(X_2,X_3),X_2),meet(meet(X_2,X_3),X_2)) = meet(meet(X_2,X_3),X_2),
inference(subst,[],[refute_0_133:[bind(X_12,$fot(meet(meet(X_2,X_3),X_2)))]]) ).
cnf(refute_0_153,plain,
join(meet(meet(join(X_3,X_45),X_3),meet(join(X_3,X_45),join(join(X_3,X_45),X_3))),meet(meet(join(X_3,X_45),X_3),join(X_3,X_45))) = meet(join(X_3,X_45),X_3),
inference(subst,[],[refute_0_151:[bind(X_2,$fot(join(X_3,X_45)))]]) ).
cnf(refute_0_154,plain,
join(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),join(meet(A,A),meet(B,join(A,A))))) = meet(B,join(A,A)),
inference(subst,[],[wal_absorbtion_3:[bind(A,$fot(meet(A,A))),bind(B,$fot(meet(B,join(A,A))))]]) ).
cnf(refute_0_155,plain,
( join(meet(A,A),meet(B,join(A,A))) != A
| join(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),join(meet(A,A),meet(B,join(A,A))))) != meet(B,join(A,A))
| join(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),A)) = meet(B,join(A,A)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),join(meet(A,A),meet(B,join(A,A))))),meet(B,join(A,A))) ),[0,1,1],$fot(A)]]) ).
cnf(refute_0_156,plain,
( join(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(B,join(A,A))
| join(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),A)) = meet(B,join(A,A)) ),
inference(resolve,[$cnf( $equal(join(meet(A,A),meet(B,join(A,A))),A) )],[wal_absorbtion_2,refute_0_155]) ).
cnf(refute_0_157,plain,
join(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),A)) = meet(B,join(A,A)),
inference(resolve,[$cnf( $equal(join(meet(meet(A,A),meet(B,join(A,A))),meet(meet(B,join(A,A)),join(meet(A,A),meet(B,join(A,A))))),meet(B,join(A,A))) )],[refute_0_154,refute_0_156]) ).
cnf(refute_0_158,plain,
join(meet(meet(X_28,X_28),meet(join(X_28,B),join(X_28,X_28))),meet(meet(join(X_28,B),join(X_28,X_28)),X_28)) = meet(join(X_28,B),join(X_28,X_28)),
inference(subst,[],[refute_0_157:[bind(A,$fot(X_28)),bind(B,$fot(join(X_28,B)))]]) ).
cnf(refute_0_159,plain,
meet(meet(join(X_28,B),join(X_28,X_28)),X_28) = X_28,
inference(subst,[],[wal_absorbtion_4:[bind(A,$fot(X_28)),bind(C,$fot(X_28))]]) ).
cnf(refute_0_160,plain,
( join(meet(meet(X_28,X_28),meet(join(X_28,B),join(X_28,X_28))),meet(meet(join(X_28,B),join(X_28,X_28)),X_28)) != meet(join(X_28,B),join(X_28,X_28))
| meet(meet(join(X_28,B),join(X_28,X_28)),X_28) != X_28
| join(meet(meet(X_28,X_28),meet(join(X_28,B),join(X_28,X_28))),X_28) = meet(join(X_28,B),join(X_28,X_28)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(X_28,X_28),meet(join(X_28,B),join(X_28,X_28))),meet(meet(join(X_28,B),join(X_28,X_28)),X_28)),meet(join(X_28,B),join(X_28,X_28))) ),[0,1],$fot(X_28)]]) ).
cnf(refute_0_161,plain,
( join(meet(meet(X_28,X_28),meet(join(X_28,B),join(X_28,X_28))),meet(meet(join(X_28,B),join(X_28,X_28)),X_28)) != meet(join(X_28,B),join(X_28,X_28))
| join(meet(meet(X_28,X_28),meet(join(X_28,B),join(X_28,X_28))),X_28) = meet(join(X_28,B),join(X_28,X_28)) ),
inference(resolve,[$cnf( $equal(meet(meet(join(X_28,B),join(X_28,X_28)),X_28),X_28) )],[refute_0_159,refute_0_160]) ).
cnf(refute_0_162,plain,
join(meet(meet(X_28,X_28),meet(join(X_28,B),join(X_28,X_28))),X_28) = meet(join(X_28,B),join(X_28,X_28)),
inference(resolve,[$cnf( $equal(join(meet(meet(X_28,X_28),meet(join(X_28,B),join(X_28,X_28))),meet(meet(join(X_28,B),join(X_28,X_28)),X_28)),meet(join(X_28,B),join(X_28,X_28))) )],[refute_0_158,refute_0_161]) ).
cnf(refute_0_163,plain,
join(meet(meet(A,A),meet(B,join(A,A))),meet(meet(A,A),join(meet(A,A),meet(B,join(A,A))))) = meet(A,A),
inference(subst,[],[wal_absorbtion_1:[bind(A,$fot(meet(A,A))),bind(B,$fot(meet(B,join(A,A))))]]) ).
cnf(refute_0_164,plain,
( join(meet(A,A),meet(B,join(A,A))) != A
| join(meet(meet(A,A),meet(B,join(A,A))),meet(meet(A,A),join(meet(A,A),meet(B,join(A,A))))) != meet(A,A)
| join(meet(meet(A,A),meet(B,join(A,A))),meet(meet(A,A),A)) = meet(A,A) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(A,A),meet(B,join(A,A))),meet(meet(A,A),join(meet(A,A),meet(B,join(A,A))))),meet(A,A)) ),[0,1,1],$fot(A)]]) ).
cnf(refute_0_165,plain,
( join(meet(meet(A,A),meet(B,join(A,A))),meet(meet(A,A),join(meet(A,A),meet(B,join(A,A))))) != meet(A,A)
| join(meet(meet(A,A),meet(B,join(A,A))),meet(meet(A,A),A)) = meet(A,A) ),
inference(resolve,[$cnf( $equal(join(meet(A,A),meet(B,join(A,A))),A) )],[wal_absorbtion_2,refute_0_164]) ).
cnf(refute_0_166,plain,
join(meet(meet(A,A),meet(B,join(A,A))),meet(meet(A,A),A)) = meet(A,A),
inference(resolve,[$cnf( $equal(join(meet(meet(A,A),meet(B,join(A,A))),meet(meet(A,A),join(meet(A,A),meet(B,join(A,A))))),meet(A,A)) )],[refute_0_163,refute_0_165]) ).
cnf(refute_0_167,plain,
meet(meet(A,A),A) = A,
inference(subst,[],[refute_0_97:[bind(X_35,$fot(A))]]) ).
cnf(refute_0_168,plain,
join(meet(meet(A,A),meet(B,join(A,A))),meet(meet(A,A),A)) = join(meet(meet(A,A),meet(B,join(A,A))),meet(meet(A,A),A)),
introduced(tautology,[refl,[$fot(join(meet(meet(A,A),meet(B,join(A,A))),meet(meet(A,A),A)))]]) ).
cnf(refute_0_169,plain,
( join(meet(meet(A,A),meet(B,join(A,A))),meet(meet(A,A),A)) != join(meet(meet(A,A),meet(B,join(A,A))),meet(meet(A,A),A))
| meet(meet(A,A),A) != A
| join(meet(meet(A,A),meet(B,join(A,A))),meet(meet(A,A),A)) = join(meet(meet(A,A),meet(B,join(A,A))),A) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(A,A),meet(B,join(A,A))),meet(meet(A,A),A)),join(meet(meet(A,A),meet(B,join(A,A))),meet(meet(A,A),A))) ),[1,1],$fot(A)]]) ).
cnf(refute_0_170,plain,
( meet(meet(A,A),A) != A
| join(meet(meet(A,A),meet(B,join(A,A))),meet(meet(A,A),A)) = join(meet(meet(A,A),meet(B,join(A,A))),A) ),
inference(resolve,[$cnf( $equal(join(meet(meet(A,A),meet(B,join(A,A))),meet(meet(A,A),A)),join(meet(meet(A,A),meet(B,join(A,A))),meet(meet(A,A),A))) )],[refute_0_168,refute_0_169]) ).
cnf(refute_0_171,plain,
join(meet(meet(A,A),meet(B,join(A,A))),meet(meet(A,A),A)) = join(meet(meet(A,A),meet(B,join(A,A))),A),
inference(resolve,[$cnf( $equal(meet(meet(A,A),A),A) )],[refute_0_167,refute_0_170]) ).
cnf(refute_0_172,plain,
( join(meet(meet(A,A),meet(B,join(A,A))),meet(meet(A,A),A)) != join(meet(meet(A,A),meet(B,join(A,A))),A)
| join(meet(meet(A,A),meet(B,join(A,A))),meet(meet(A,A),A)) != meet(A,A)
| join(meet(meet(A,A),meet(B,join(A,A))),A) = meet(A,A) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(A,A),meet(B,join(A,A))),meet(meet(A,A),A)),meet(A,A)) ),[0],$fot(join(meet(meet(A,A),meet(B,join(A,A))),A))]]) ).
cnf(refute_0_173,plain,
( join(meet(meet(A,A),meet(B,join(A,A))),meet(meet(A,A),A)) != meet(A,A)
| join(meet(meet(A,A),meet(B,join(A,A))),A) = meet(A,A) ),
inference(resolve,[$cnf( $equal(join(meet(meet(A,A),meet(B,join(A,A))),meet(meet(A,A),A)),join(meet(meet(A,A),meet(B,join(A,A))),A)) )],[refute_0_171,refute_0_172]) ).
cnf(refute_0_174,plain,
join(meet(meet(A,A),meet(B,join(A,A))),A) = meet(A,A),
inference(resolve,[$cnf( $equal(join(meet(meet(A,A),meet(B,join(A,A))),meet(meet(A,A),A)),meet(A,A)) )],[refute_0_166,refute_0_173]) ).
cnf(refute_0_175,plain,
join(meet(meet(X_28,X_28),meet(join(X_28,B),join(X_28,X_28))),X_28) = meet(X_28,X_28),
inference(subst,[],[refute_0_174:[bind(A,$fot(X_28)),bind(B,$fot(join(X_28,B)))]]) ).
cnf(refute_0_176,plain,
( join(meet(meet(X_28,X_28),meet(join(X_28,B),join(X_28,X_28))),X_28) != meet(X_28,X_28)
| join(meet(meet(X_28,X_28),meet(join(X_28,B),join(X_28,X_28))),X_28) != meet(join(X_28,B),join(X_28,X_28))
| meet(X_28,X_28) = meet(join(X_28,B),join(X_28,X_28)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(X_28,X_28),meet(join(X_28,B),join(X_28,X_28))),X_28),meet(join(X_28,B),join(X_28,X_28))) ),[0],$fot(meet(X_28,X_28))]]) ).
cnf(refute_0_177,plain,
( join(meet(meet(X_28,X_28),meet(join(X_28,B),join(X_28,X_28))),X_28) != meet(join(X_28,B),join(X_28,X_28))
| meet(X_28,X_28) = meet(join(X_28,B),join(X_28,X_28)) ),
inference(resolve,[$cnf( $equal(join(meet(meet(X_28,X_28),meet(join(X_28,B),join(X_28,X_28))),X_28),meet(X_28,X_28)) )],[refute_0_175,refute_0_176]) ).
cnf(refute_0_178,plain,
meet(X_28,X_28) = meet(join(X_28,B),join(X_28,X_28)),
inference(resolve,[$cnf( $equal(join(meet(meet(X_28,X_28),meet(join(X_28,B),join(X_28,X_28))),X_28),meet(join(X_28,B),join(X_28,X_28))) )],[refute_0_162,refute_0_177]) ).
cnf(refute_0_179,plain,
meet(X_28,X_28) = X_28,
inference(subst,[],[refute_0_40:[bind(X_38,$fot(X_28))]]) ).
cnf(refute_0_180,plain,
( meet(X_28,X_28) != X_28
| meet(X_28,X_28) != meet(join(X_28,B),join(X_28,X_28))
| X_28 = meet(join(X_28,B),join(X_28,X_28)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_28,X_28),meet(join(X_28,B),join(X_28,X_28))) ),[0],$fot(X_28)]]) ).
cnf(refute_0_181,plain,
( meet(X_28,X_28) != meet(join(X_28,B),join(X_28,X_28))
| X_28 = meet(join(X_28,B),join(X_28,X_28)) ),
inference(resolve,[$cnf( $equal(meet(X_28,X_28),X_28) )],[refute_0_179,refute_0_180]) ).
cnf(refute_0_182,plain,
X_28 = meet(join(X_28,B),join(X_28,X_28)),
inference(resolve,[$cnf( $equal(meet(X_28,X_28),meet(join(X_28,B),join(X_28,X_28))) )],[refute_0_178,refute_0_181]) ).
cnf(refute_0_183,plain,
join(X_28,X_28) = X_28,
inference(subst,[],[refute_0_133:[bind(X_12,$fot(X_28))]]) ).
cnf(refute_0_184,plain,
meet(join(X_28,B),join(X_28,X_28)) = meet(join(X_28,B),join(X_28,X_28)),
introduced(tautology,[refl,[$fot(meet(join(X_28,B),join(X_28,X_28)))]]) ).
cnf(refute_0_185,plain,
( join(X_28,X_28) != X_28
| meet(join(X_28,B),join(X_28,X_28)) != meet(join(X_28,B),join(X_28,X_28))
| meet(join(X_28,B),join(X_28,X_28)) = meet(join(X_28,B),X_28) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_28,B),join(X_28,X_28)),meet(join(X_28,B),join(X_28,X_28))) ),[1,1],$fot(X_28)]]) ).
cnf(refute_0_186,plain,
( join(X_28,X_28) != X_28
| meet(join(X_28,B),join(X_28,X_28)) = meet(join(X_28,B),X_28) ),
inference(resolve,[$cnf( $equal(meet(join(X_28,B),join(X_28,X_28)),meet(join(X_28,B),join(X_28,X_28))) )],[refute_0_184,refute_0_185]) ).
cnf(refute_0_187,plain,
meet(join(X_28,B),join(X_28,X_28)) = meet(join(X_28,B),X_28),
inference(resolve,[$cnf( $equal(join(X_28,X_28),X_28) )],[refute_0_183,refute_0_186]) ).
cnf(refute_0_188,plain,
( X_28 != meet(join(X_28,B),join(X_28,X_28))
| meet(join(X_28,B),join(X_28,X_28)) != meet(join(X_28,B),X_28)
| X_28 = meet(join(X_28,B),X_28) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_28,meet(join(X_28,B),X_28)) ),[0],$fot(meet(join(X_28,B),join(X_28,X_28)))]]) ).
cnf(refute_0_189,plain,
( X_28 != meet(join(X_28,B),join(X_28,X_28))
| X_28 = meet(join(X_28,B),X_28) ),
inference(resolve,[$cnf( $equal(meet(join(X_28,B),join(X_28,X_28)),meet(join(X_28,B),X_28)) )],[refute_0_187,refute_0_188]) ).
cnf(refute_0_190,plain,
X_28 = meet(join(X_28,B),X_28),
inference(resolve,[$cnf( $equal(X_28,meet(join(X_28,B),join(X_28,X_28))) )],[refute_0_182,refute_0_189]) ).
cnf(refute_0_191,plain,
X_3 = meet(join(X_3,X_45),X_3),
inference(subst,[],[refute_0_190:[bind(B,$fot(X_45)),bind(X_28,$fot(X_3))]]) ).
cnf(refute_0_192,plain,
( X_3 != meet(join(X_3,X_45),X_3)
| meet(join(X_3,X_45),X_3) = X_3 ),
inference(subst,[],[refute_0_25:[bind(X,$fot(X_3)),bind(Y,$fot(meet(join(X_3,X_45),X_3)))]]) ).
cnf(refute_0_193,plain,
meet(join(X_3,X_45),X_3) = X_3,
inference(resolve,[$cnf( $equal(X_3,meet(join(X_3,X_45),X_3)) )],[refute_0_191,refute_0_192]) ).
cnf(refute_0_194,plain,
( join(meet(meet(join(X_3,X_45),X_3),meet(join(X_3,X_45),join(join(X_3,X_45),X_3))),meet(meet(join(X_3,X_45),X_3),join(X_3,X_45))) != meet(join(X_3,X_45),X_3)
| meet(join(X_3,X_45),X_3) != X_3
| join(meet(X_3,meet(join(X_3,X_45),join(join(X_3,X_45),X_3))),meet(meet(join(X_3,X_45),X_3),join(X_3,X_45))) = meet(join(X_3,X_45),X_3) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(join(X_3,X_45),X_3),meet(join(X_3,X_45),join(join(X_3,X_45),X_3))),meet(meet(join(X_3,X_45),X_3),join(X_3,X_45))),meet(join(X_3,X_45),X_3)) ),[0,0,0],$fot(X_3)]]) ).
cnf(refute_0_195,plain,
( join(meet(meet(join(X_3,X_45),X_3),meet(join(X_3,X_45),join(join(X_3,X_45),X_3))),meet(meet(join(X_3,X_45),X_3),join(X_3,X_45))) != meet(join(X_3,X_45),X_3)
| join(meet(X_3,meet(join(X_3,X_45),join(join(X_3,X_45),X_3))),meet(meet(join(X_3,X_45),X_3),join(X_3,X_45))) = meet(join(X_3,X_45),X_3) ),
inference(resolve,[$cnf( $equal(meet(join(X_3,X_45),X_3),X_3) )],[refute_0_193,refute_0_194]) ).
cnf(refute_0_196,plain,
join(meet(X_3,meet(join(X_3,X_45),join(join(X_3,X_45),X_3))),meet(meet(join(X_3,X_45),X_3),join(X_3,X_45))) = meet(join(X_3,X_45),X_3),
inference(resolve,[$cnf( $equal(join(meet(meet(join(X_3,X_45),X_3),meet(join(X_3,X_45),join(join(X_3,X_45),X_3))),meet(meet(join(X_3,X_45),X_3),join(X_3,X_45))),meet(join(X_3,X_45),X_3)) )],[refute_0_153,refute_0_195]) ).
cnf(refute_0_197,plain,
meet(meet(join(X_3,X_45),X_3),join(X_3,X_45)) = meet(meet(join(X_3,X_45),X_3),join(X_3,X_45)),
introduced(tautology,[refl,[$fot(meet(meet(join(X_3,X_45),X_3),join(X_3,X_45)))]]) ).
cnf(refute_0_198,plain,
( meet(join(X_3,X_45),X_3) != X_3
| meet(meet(join(X_3,X_45),X_3),join(X_3,X_45)) != meet(meet(join(X_3,X_45),X_3),join(X_3,X_45))
| meet(meet(join(X_3,X_45),X_3),join(X_3,X_45)) = meet(X_3,join(X_3,X_45)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(join(X_3,X_45),X_3),join(X_3,X_45)),meet(meet(join(X_3,X_45),X_3),join(X_3,X_45))) ),[1,0],$fot(X_3)]]) ).
cnf(refute_0_199,plain,
( meet(join(X_3,X_45),X_3) != X_3
| meet(meet(join(X_3,X_45),X_3),join(X_3,X_45)) = meet(X_3,join(X_3,X_45)) ),
inference(resolve,[$cnf( $equal(meet(meet(join(X_3,X_45),X_3),join(X_3,X_45)),meet(meet(join(X_3,X_45),X_3),join(X_3,X_45))) )],[refute_0_197,refute_0_198]) ).
cnf(refute_0_200,plain,
meet(meet(join(X_3,X_45),X_3),join(X_3,X_45)) = meet(X_3,join(X_3,X_45)),
inference(resolve,[$cnf( $equal(meet(join(X_3,X_45),X_3),X_3) )],[refute_0_193,refute_0_199]) ).
cnf(refute_0_201,plain,
join(meet(X_3,meet(join(X_3,X_45),join(join(X_3,X_45),X_3))),meet(meet(join(X_3,X_45),X_3),join(X_3,X_45))) = join(meet(X_3,meet(join(X_3,X_45),join(join(X_3,X_45),X_3))),meet(meet(join(X_3,X_45),X_3),join(X_3,X_45))),
introduced(tautology,[refl,[$fot(join(meet(X_3,meet(join(X_3,X_45),join(join(X_3,X_45),X_3))),meet(meet(join(X_3,X_45),X_3),join(X_3,X_45))))]]) ).
cnf(refute_0_202,plain,
( join(meet(X_3,meet(join(X_3,X_45),join(join(X_3,X_45),X_3))),meet(meet(join(X_3,X_45),X_3),join(X_3,X_45))) != join(meet(X_3,meet(join(X_3,X_45),join(join(X_3,X_45),X_3))),meet(meet(join(X_3,X_45),X_3),join(X_3,X_45)))
| meet(meet(join(X_3,X_45),X_3),join(X_3,X_45)) != meet(X_3,join(X_3,X_45))
| join(meet(X_3,meet(join(X_3,X_45),join(join(X_3,X_45),X_3))),meet(meet(join(X_3,X_45),X_3),join(X_3,X_45))) = join(meet(X_3,meet(join(X_3,X_45),join(join(X_3,X_45),X_3))),meet(X_3,join(X_3,X_45))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_3,meet(join(X_3,X_45),join(join(X_3,X_45),X_3))),meet(meet(join(X_3,X_45),X_3),join(X_3,X_45))),join(meet(X_3,meet(join(X_3,X_45),join(join(X_3,X_45),X_3))),meet(meet(join(X_3,X_45),X_3),join(X_3,X_45)))) ),[1,1],$fot(meet(X_3,join(X_3,X_45)))]]) ).
cnf(refute_0_203,plain,
( meet(meet(join(X_3,X_45),X_3),join(X_3,X_45)) != meet(X_3,join(X_3,X_45))
| join(meet(X_3,meet(join(X_3,X_45),join(join(X_3,X_45),X_3))),meet(meet(join(X_3,X_45),X_3),join(X_3,X_45))) = join(meet(X_3,meet(join(X_3,X_45),join(join(X_3,X_45),X_3))),meet(X_3,join(X_3,X_45))) ),
inference(resolve,[$cnf( $equal(join(meet(X_3,meet(join(X_3,X_45),join(join(X_3,X_45),X_3))),meet(meet(join(X_3,X_45),X_3),join(X_3,X_45))),join(meet(X_3,meet(join(X_3,X_45),join(join(X_3,X_45),X_3))),meet(meet(join(X_3,X_45),X_3),join(X_3,X_45)))) )],[refute_0_201,refute_0_202]) ).
cnf(refute_0_204,plain,
join(meet(X_3,meet(join(X_3,X_45),join(join(X_3,X_45),X_3))),meet(meet(join(X_3,X_45),X_3),join(X_3,X_45))) = join(meet(X_3,meet(join(X_3,X_45),join(join(X_3,X_45),X_3))),meet(X_3,join(X_3,X_45))),
inference(resolve,[$cnf( $equal(meet(meet(join(X_3,X_45),X_3),join(X_3,X_45)),meet(X_3,join(X_3,X_45))) )],[refute_0_200,refute_0_203]) ).
cnf(refute_0_205,plain,
( join(meet(X_3,meet(join(X_3,X_45),join(join(X_3,X_45),X_3))),meet(meet(join(X_3,X_45),X_3),join(X_3,X_45))) != join(meet(X_3,meet(join(X_3,X_45),join(join(X_3,X_45),X_3))),meet(X_3,join(X_3,X_45)))
| join(meet(X_3,meet(join(X_3,X_45),join(join(X_3,X_45),X_3))),meet(meet(join(X_3,X_45),X_3),join(X_3,X_45))) != meet(join(X_3,X_45),X_3)
| join(meet(X_3,meet(join(X_3,X_45),join(join(X_3,X_45),X_3))),meet(X_3,join(X_3,X_45))) = meet(join(X_3,X_45),X_3) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_3,meet(join(X_3,X_45),join(join(X_3,X_45),X_3))),meet(meet(join(X_3,X_45),X_3),join(X_3,X_45))),meet(join(X_3,X_45),X_3)) ),[0],$fot(join(meet(X_3,meet(join(X_3,X_45),join(join(X_3,X_45),X_3))),meet(X_3,join(X_3,X_45))))]]) ).
cnf(refute_0_206,plain,
( join(meet(X_3,meet(join(X_3,X_45),join(join(X_3,X_45),X_3))),meet(meet(join(X_3,X_45),X_3),join(X_3,X_45))) != meet(join(X_3,X_45),X_3)
| join(meet(X_3,meet(join(X_3,X_45),join(join(X_3,X_45),X_3))),meet(X_3,join(X_3,X_45))) = meet(join(X_3,X_45),X_3) ),
inference(resolve,[$cnf( $equal(join(meet(X_3,meet(join(X_3,X_45),join(join(X_3,X_45),X_3))),meet(meet(join(X_3,X_45),X_3),join(X_3,X_45))),join(meet(X_3,meet(join(X_3,X_45),join(join(X_3,X_45),X_3))),meet(X_3,join(X_3,X_45)))) )],[refute_0_204,refute_0_205]) ).
cnf(refute_0_207,plain,
( join(meet(X_3,meet(join(X_3,X_45),join(join(X_3,X_45),X_3))),meet(X_3,join(X_3,X_45))) != meet(join(X_3,X_45),X_3)
| meet(join(X_3,X_45),X_3) != X_3
| join(meet(X_3,meet(join(X_3,X_45),join(join(X_3,X_45),X_3))),meet(X_3,join(X_3,X_45))) = X_3 ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(meet(X_3,meet(join(X_3,X_45),join(join(X_3,X_45),X_3))),meet(X_3,join(X_3,X_45))),X_3) ),[0],$fot(meet(join(X_3,X_45),X_3))]]) ).
cnf(refute_0_208,plain,
( join(meet(X_3,meet(join(X_3,X_45),join(join(X_3,X_45),X_3))),meet(X_3,join(X_3,X_45))) != meet(join(X_3,X_45),X_3)
| join(meet(X_3,meet(join(X_3,X_45),join(join(X_3,X_45),X_3))),meet(X_3,join(X_3,X_45))) = X_3 ),
inference(resolve,[$cnf( $equal(meet(join(X_3,X_45),X_3),X_3) )],[refute_0_193,refute_0_207]) ).
cnf(refute_0_209,plain,
( join(meet(X_3,meet(join(X_3,X_45),join(join(X_3,X_45),X_3))),meet(meet(join(X_3,X_45),X_3),join(X_3,X_45))) != meet(join(X_3,X_45),X_3)
| join(meet(X_3,meet(join(X_3,X_45),join(join(X_3,X_45),X_3))),meet(X_3,join(X_3,X_45))) = X_3 ),
inference(resolve,[$cnf( $equal(join(meet(X_3,meet(join(X_3,X_45),join(join(X_3,X_45),X_3))),meet(X_3,join(X_3,X_45))),meet(join(X_3,X_45),X_3)) )],[refute_0_206,refute_0_208]) ).
cnf(refute_0_210,plain,
join(meet(X_3,meet(join(X_3,X_45),join(join(X_3,X_45),X_3))),meet(X_3,join(X_3,X_45))) = X_3,
inference(resolve,[$cnf( $equal(join(meet(X_3,meet(join(X_3,X_45),join(join(X_3,X_45),X_3))),meet(meet(join(X_3,X_45),X_3),join(X_3,X_45))),meet(join(X_3,X_45),X_3)) )],[refute_0_196,refute_0_209]) ).
cnf(refute_0_211,plain,
join(meet(X_3,join(X_3,X_45)),meet(X_3,join(X_3,X_45))) = meet(X_3,join(X_3,X_45)),
inference(subst,[],[refute_0_133:[bind(X_12,$fot(meet(X_3,join(X_3,X_45))))]]) ).
cnf(refute_0_212,plain,
join(meet(join(B,X_45),B),meet(join(B,X_45),join(join(B,X_45),B))) = join(B,X_45),
inference(subst,[],[wal_absorbtion_1:[bind(A,$fot(join(B,X_45)))]]) ).
cnf(refute_0_213,plain,
B = meet(join(B,X_45),B),
inference(subst,[],[refute_0_190:[bind(B,$fot(X_45)),bind(X_28,$fot(B))]]) ).
cnf(refute_0_214,plain,
( B != meet(join(B,X_45),B)
| meet(join(B,X_45),B) = B ),
inference(subst,[],[refute_0_25:[bind(X,$fot(B)),bind(Y,$fot(meet(join(B,X_45),B)))]]) ).
cnf(refute_0_215,plain,
meet(join(B,X_45),B) = B,
inference(resolve,[$cnf( $equal(B,meet(join(B,X_45),B)) )],[refute_0_213,refute_0_214]) ).
cnf(refute_0_216,plain,
( join(meet(join(B,X_45),B),meet(join(B,X_45),join(join(B,X_45),B))) != join(B,X_45)
| meet(join(B,X_45),B) != B
| join(B,meet(join(B,X_45),join(join(B,X_45),B))) = join(B,X_45) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(join(B,X_45),B),meet(join(B,X_45),join(join(B,X_45),B))),join(B,X_45)) ),[0,0],$fot(B)]]) ).
cnf(refute_0_217,plain,
( join(meet(join(B,X_45),B),meet(join(B,X_45),join(join(B,X_45),B))) != join(B,X_45)
| join(B,meet(join(B,X_45),join(join(B,X_45),B))) = join(B,X_45) ),
inference(resolve,[$cnf( $equal(meet(join(B,X_45),B),B) )],[refute_0_215,refute_0_216]) ).
cnf(refute_0_218,plain,
join(B,meet(join(B,X_45),join(join(B,X_45),B))) = join(B,X_45),
inference(resolve,[$cnf( $equal(join(meet(join(B,X_45),B),meet(join(B,X_45),join(join(B,X_45),B))),join(B,X_45)) )],[refute_0_212,refute_0_217]) ).
cnf(refute_0_219,plain,
meet(meet(join(join(meet(X_10,X_33),X_10),X_10),join(meet(X_10,X_33),X_10)),join(meet(X_10,X_33),X_10)) = join(meet(X_10,X_33),X_10),
inference(subst,[],[refute_0_9:[bind(X_9,$fot(join(meet(X_10,X_33),X_10)))]]) ).
cnf(refute_0_220,plain,
join(join(meet(A,B),meet(meet(join(A,X_10),join(X_11,A)),A)),A) = A,
inference(subst,[],[wal_absorbtion_5:[bind(C,$fot(meet(join(A,X_10),join(X_11,A))))]]) ).
cnf(refute_0_221,plain,
meet(meet(join(A,X_10),join(X_11,A)),A) = A,
inference(subst,[],[wal_absorbtion_4:[bind(B,$fot(X_10)),bind(C,$fot(X_11))]]) ).
cnf(refute_0_222,plain,
( join(join(meet(A,B),meet(meet(join(A,X_10),join(X_11,A)),A)),A) != A
| meet(meet(join(A,X_10),join(X_11,A)),A) != A
| join(join(meet(A,B),A),A) = A ),
introduced(tautology,[equality,[$cnf( $equal(join(join(meet(A,B),meet(meet(join(A,X_10),join(X_11,A)),A)),A),A) ),[0,0,1],$fot(A)]]) ).
cnf(refute_0_223,plain,
( join(join(meet(A,B),meet(meet(join(A,X_10),join(X_11,A)),A)),A) != A
| join(join(meet(A,B),A),A) = A ),
inference(resolve,[$cnf( $equal(meet(meet(join(A,X_10),join(X_11,A)),A),A) )],[refute_0_221,refute_0_222]) ).
cnf(refute_0_224,plain,
join(join(meet(A,B),A),A) = A,
inference(resolve,[$cnf( $equal(join(join(meet(A,B),meet(meet(join(A,X_10),join(X_11,A)),A)),A),A) )],[refute_0_220,refute_0_223]) ).
cnf(refute_0_225,plain,
join(join(meet(X_10,X_33),X_10),X_10) = X_10,
inference(subst,[],[refute_0_224:[bind(A,$fot(X_10)),bind(B,$fot(X_33))]]) ).
cnf(refute_0_226,plain,
( join(join(meet(X_10,X_33),X_10),X_10) != X_10
| meet(meet(join(join(meet(X_10,X_33),X_10),X_10),join(meet(X_10,X_33),X_10)),join(meet(X_10,X_33),X_10)) != join(meet(X_10,X_33),X_10)
| meet(meet(X_10,join(meet(X_10,X_33),X_10)),join(meet(X_10,X_33),X_10)) = join(meet(X_10,X_33),X_10) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(join(join(meet(X_10,X_33),X_10),X_10),join(meet(X_10,X_33),X_10)),join(meet(X_10,X_33),X_10)),join(meet(X_10,X_33),X_10)) ),[0,0,0],$fot(X_10)]]) ).
cnf(refute_0_227,plain,
( meet(meet(join(join(meet(X_10,X_33),X_10),X_10),join(meet(X_10,X_33),X_10)),join(meet(X_10,X_33),X_10)) != join(meet(X_10,X_33),X_10)
| meet(meet(X_10,join(meet(X_10,X_33),X_10)),join(meet(X_10,X_33),X_10)) = join(meet(X_10,X_33),X_10) ),
inference(resolve,[$cnf( $equal(join(join(meet(X_10,X_33),X_10),X_10),X_10) )],[refute_0_225,refute_0_226]) ).
cnf(refute_0_228,plain,
meet(meet(X_10,join(meet(X_10,X_33),X_10)),join(meet(X_10,X_33),X_10)) = join(meet(X_10,X_33),X_10),
inference(resolve,[$cnf( $equal(meet(meet(join(join(meet(X_10,X_33),X_10),X_10),join(meet(X_10,X_33),X_10)),join(meet(X_10,X_33),X_10)),join(meet(X_10,X_33),X_10)) )],[refute_0_219,refute_0_227]) ).
cnf(refute_0_229,plain,
join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(A,A),join(meet(A,A),meet(B,join(A,A))))),meet(meet(meet(A,A),meet(B,join(A,A))),meet(A,A))) = meet(meet(A,A),meet(B,join(A,A))),
inference(subst,[],[refute_0_151:[bind(X_2,$fot(meet(A,A))),bind(X_3,$fot(meet(B,join(A,A))))]]) ).
cnf(refute_0_230,plain,
( join(meet(A,A),meet(B,join(A,A))) != A
| join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(A,A),join(meet(A,A),meet(B,join(A,A))))),meet(meet(meet(A,A),meet(B,join(A,A))),meet(A,A))) != meet(meet(A,A),meet(B,join(A,A)))
| join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(A,A),A)),meet(meet(meet(A,A),meet(B,join(A,A))),meet(A,A))) = meet(meet(A,A),meet(B,join(A,A))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(A,A),join(meet(A,A),meet(B,join(A,A))))),meet(meet(meet(A,A),meet(B,join(A,A))),meet(A,A))),meet(meet(A,A),meet(B,join(A,A)))) ),[0,0,1,1],$fot(A)]]) ).
cnf(refute_0_231,plain,
( join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(A,A),join(meet(A,A),meet(B,join(A,A))))),meet(meet(meet(A,A),meet(B,join(A,A))),meet(A,A))) != meet(meet(A,A),meet(B,join(A,A)))
| join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(A,A),A)),meet(meet(meet(A,A),meet(B,join(A,A))),meet(A,A))) = meet(meet(A,A),meet(B,join(A,A))) ),
inference(resolve,[$cnf( $equal(join(meet(A,A),meet(B,join(A,A))),A) )],[wal_absorbtion_2,refute_0_230]) ).
cnf(refute_0_232,plain,
join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(A,A),A)),meet(meet(meet(A,A),meet(B,join(A,A))),meet(A,A))) = meet(meet(A,A),meet(B,join(A,A))),
inference(resolve,[$cnf( $equal(join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(A,A),join(meet(A,A),meet(B,join(A,A))))),meet(meet(meet(A,A),meet(B,join(A,A))),meet(A,A))),meet(meet(A,A),meet(B,join(A,A)))) )],[refute_0_229,refute_0_231]) ).
cnf(refute_0_233,plain,
meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(A,A),A)) = meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(A,A),A)),
introduced(tautology,[refl,[$fot(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(A,A),A)))]]) ).
cnf(refute_0_234,plain,
( meet(meet(A,A),A) != A
| meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(A,A),A)) != meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(A,A),A))
| meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(A,A),A)) = meet(meet(meet(A,A),meet(B,join(A,A))),A) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(A,A),A)),meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(A,A),A))) ),[1,1],$fot(A)]]) ).
cnf(refute_0_235,plain,
( meet(meet(A,A),A) != A
| meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(A,A),A)) = meet(meet(meet(A,A),meet(B,join(A,A))),A) ),
inference(resolve,[$cnf( $equal(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(A,A),A)),meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(A,A),A))) )],[refute_0_233,refute_0_234]) ).
cnf(refute_0_236,plain,
meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(A,A),A)) = meet(meet(meet(A,A),meet(B,join(A,A))),A),
inference(resolve,[$cnf( $equal(meet(meet(A,A),A),A) )],[refute_0_167,refute_0_235]) ).
cnf(refute_0_237,plain,
join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(A,A),A)),meet(meet(meet(A,A),meet(B,join(A,A))),meet(A,A))) = join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(A,A),A)),meet(meet(meet(A,A),meet(B,join(A,A))),meet(A,A))),
introduced(tautology,[refl,[$fot(join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(A,A),A)),meet(meet(meet(A,A),meet(B,join(A,A))),meet(A,A))))]]) ).
cnf(refute_0_238,plain,
( join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(A,A),A)),meet(meet(meet(A,A),meet(B,join(A,A))),meet(A,A))) != join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(A,A),A)),meet(meet(meet(A,A),meet(B,join(A,A))),meet(A,A)))
| meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(A,A),A)) != meet(meet(meet(A,A),meet(B,join(A,A))),A)
| join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(A,A),A)),meet(meet(meet(A,A),meet(B,join(A,A))),meet(A,A))) = join(meet(meet(meet(A,A),meet(B,join(A,A))),A),meet(meet(meet(A,A),meet(B,join(A,A))),meet(A,A))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(A,A),A)),meet(meet(meet(A,A),meet(B,join(A,A))),meet(A,A))),join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(A,A),A)),meet(meet(meet(A,A),meet(B,join(A,A))),meet(A,A)))) ),[1,0],$fot(meet(meet(meet(A,A),meet(B,join(A,A))),A))]]) ).
cnf(refute_0_239,plain,
( meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(A,A),A)) != meet(meet(meet(A,A),meet(B,join(A,A))),A)
| join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(A,A),A)),meet(meet(meet(A,A),meet(B,join(A,A))),meet(A,A))) = join(meet(meet(meet(A,A),meet(B,join(A,A))),A),meet(meet(meet(A,A),meet(B,join(A,A))),meet(A,A))) ),
inference(resolve,[$cnf( $equal(join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(A,A),A)),meet(meet(meet(A,A),meet(B,join(A,A))),meet(A,A))),join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(A,A),A)),meet(meet(meet(A,A),meet(B,join(A,A))),meet(A,A)))) )],[refute_0_237,refute_0_238]) ).
cnf(refute_0_240,plain,
join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(A,A),A)),meet(meet(meet(A,A),meet(B,join(A,A))),meet(A,A))) = join(meet(meet(meet(A,A),meet(B,join(A,A))),A),meet(meet(meet(A,A),meet(B,join(A,A))),meet(A,A))),
inference(resolve,[$cnf( $equal(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(A,A),A)),meet(meet(meet(A,A),meet(B,join(A,A))),A)) )],[refute_0_236,refute_0_239]) ).
cnf(refute_0_241,plain,
( join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(A,A),A)),meet(meet(meet(A,A),meet(B,join(A,A))),meet(A,A))) != join(meet(meet(meet(A,A),meet(B,join(A,A))),A),meet(meet(meet(A,A),meet(B,join(A,A))),meet(A,A)))
| join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(A,A),A)),meet(meet(meet(A,A),meet(B,join(A,A))),meet(A,A))) != meet(meet(A,A),meet(B,join(A,A)))
| join(meet(meet(meet(A,A),meet(B,join(A,A))),A),meet(meet(meet(A,A),meet(B,join(A,A))),meet(A,A))) = meet(meet(A,A),meet(B,join(A,A))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(A,A),A)),meet(meet(meet(A,A),meet(B,join(A,A))),meet(A,A))),meet(meet(A,A),meet(B,join(A,A)))) ),[0],$fot(join(meet(meet(meet(A,A),meet(B,join(A,A))),A),meet(meet(meet(A,A),meet(B,join(A,A))),meet(A,A))))]]) ).
cnf(refute_0_242,plain,
( join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(A,A),A)),meet(meet(meet(A,A),meet(B,join(A,A))),meet(A,A))) != meet(meet(A,A),meet(B,join(A,A)))
| join(meet(meet(meet(A,A),meet(B,join(A,A))),A),meet(meet(meet(A,A),meet(B,join(A,A))),meet(A,A))) = meet(meet(A,A),meet(B,join(A,A))) ),
inference(resolve,[$cnf( $equal(join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(A,A),A)),meet(meet(meet(A,A),meet(B,join(A,A))),meet(A,A))),join(meet(meet(meet(A,A),meet(B,join(A,A))),A),meet(meet(meet(A,A),meet(B,join(A,A))),meet(A,A)))) )],[refute_0_240,refute_0_241]) ).
cnf(refute_0_243,plain,
join(meet(meet(meet(A,A),meet(B,join(A,A))),A),meet(meet(meet(A,A),meet(B,join(A,A))),meet(A,A))) = meet(meet(A,A),meet(B,join(A,A))),
inference(resolve,[$cnf( $equal(join(meet(meet(meet(A,A),meet(B,join(A,A))),meet(meet(A,A),A)),meet(meet(meet(A,A),meet(B,join(A,A))),meet(A,A))),meet(meet(A,A),meet(B,join(A,A)))) )],[refute_0_232,refute_0_242]) ).
cnf(refute_0_244,plain,
meet(meet(A,meet(B,join(A,A))),meet(A,A)) = meet(meet(A,meet(B,join(A,A))),meet(A,A)),
introduced(tautology,[refl,[$fot(meet(meet(A,meet(B,join(A,A))),meet(A,A)))]]) ).
cnf(refute_0_245,plain,
( meet(A,A) != A
| meet(meet(A,meet(B,join(A,A))),meet(A,A)) != meet(meet(A,meet(B,join(A,A))),meet(A,A))
| meet(meet(A,meet(B,join(A,A))),meet(A,A)) = meet(meet(A,meet(B,join(A,A))),A) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(A,meet(B,join(A,A))),meet(A,A)),meet(meet(A,meet(B,join(A,A))),meet(A,A))) ),[1,1],$fot(A)]]) ).
cnf(refute_0_246,plain,
( meet(A,A) != A
| meet(meet(A,meet(B,join(A,A))),meet(A,A)) = meet(meet(A,meet(B,join(A,A))),A) ),
inference(resolve,[$cnf( $equal(meet(meet(A,meet(B,join(A,A))),meet(A,A)),meet(meet(A,meet(B,join(A,A))),meet(A,A))) )],[refute_0_244,refute_0_245]) ).
cnf(refute_0_247,plain,
meet(meet(A,meet(B,join(A,A))),meet(A,A)) = meet(meet(A,meet(B,join(A,A))),A),
inference(resolve,[$cnf( $equal(meet(A,A),A) )],[refute_0_41,refute_0_246]) ).
cnf(refute_0_248,plain,
meet(meet(A,A),meet(B,join(A,A))) = meet(meet(A,A),meet(B,join(A,A))),
introduced(tautology,[refl,[$fot(meet(meet(A,A),meet(B,join(A,A))))]]) ).
cnf(refute_0_249,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_250,plain,
( meet(A,A) != A
| meet(meet(A,A),meet(B,join(A,A))) = meet(A,meet(B,join(A,A))) ),
inference(resolve,[$cnf( $equal(meet(meet(A,A),meet(B,join(A,A))),meet(meet(A,A),meet(B,join(A,A)))) )],[refute_0_248,refute_0_249]) ).
cnf(refute_0_251,plain,
meet(meet(A,A),meet(B,join(A,A))) = meet(A,meet(B,join(A,A))),
inference(resolve,[$cnf( $equal(meet(A,A),A) )],[refute_0_41,refute_0_250]) ).
cnf(refute_0_252,plain,
meet(meet(meet(A,A),meet(B,join(A,A))),meet(A,A)) = meet(meet(meet(A,A),meet(B,join(A,A))),meet(A,A)),
introduced(tautology,[refl,[$fot(meet(meet(meet(A,A),meet(B,join(A,A))),meet(A,A)))]]) ).
cnf(refute_0_253,plain,
( meet(meet(A,A),meet(B,join(A,A))) != meet(A,meet(B,join(A,A)))
| meet(meet(meet(A,A),meet(B,join(A,A))),meet(A,A)) != meet(meet(meet(A,A),meet(B,join(A,A))),meet(A,A))
| meet(meet(meet(A,A),meet(B,join(A,A))),meet(A,A)) = meet(meet(A,meet(B,join(A,A))),meet(A,A)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(meet(A,A),meet(B,join(A,A))),meet(A,A)),meet(meet(meet(A,A),meet(B,join(A,A))),meet(A,A))) ),[1,0],$fot(meet(A,meet(B,join(A,A))))]]) ).
cnf(refute_0_254,plain,
( meet(meet(A,A),meet(B,join(A,A))) != meet(A,meet(B,join(A,A)))
| meet(meet(meet(A,A),meet(B,join(A,A))),meet(A,A)) = meet(meet(A,meet(B,join(A,A))),meet(A,A)) ),
inference(resolve,[$cnf( $equal(meet(meet(meet(A,A),meet(B,join(A,A))),meet(A,A)),meet(meet(meet(A,A),meet(B,join(A,A))),meet(A,A))) )],[refute_0_252,refute_0_253]) ).
cnf(refute_0_255,plain,
meet(meet(meet(A,A),meet(B,join(A,A))),meet(A,A)) = meet(meet(A,meet(B,join(A,A))),meet(A,A)),
inference(resolve,[$cnf( $equal(meet(meet(A,A),meet(B,join(A,A))),meet(A,meet(B,join(A,A)))) )],[refute_0_251,refute_0_254]) ).
cnf(refute_0_256,plain,
( meet(meet(A,meet(B,join(A,A))),meet(A,A)) != meet(meet(A,meet(B,join(A,A))),A)
| meet(meet(meet(A,A),meet(B,join(A,A))),meet(A,A)) != meet(meet(A,meet(B,join(A,A))),meet(A,A))
| meet(meet(meet(A,A),meet(B,join(A,A))),meet(A,A)) = meet(meet(A,meet(B,join(A,A))),A) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(meet(meet(meet(A,A),meet(B,join(A,A))),meet(A,A)))),bind(Y,$fot(meet(meet(A,meet(B,join(A,A))),meet(A,A)))),bind(Z,$fot(meet(meet(A,meet(B,join(A,A))),A)))]]) ).
cnf(refute_0_257,plain,
( meet(meet(A,meet(B,join(A,A))),meet(A,A)) != meet(meet(A,meet(B,join(A,A))),A)
| meet(meet(meet(A,A),meet(B,join(A,A))),meet(A,A)) = meet(meet(A,meet(B,join(A,A))),A) ),
inference(resolve,[$cnf( $equal(meet(meet(meet(A,A),meet(B,join(A,A))),meet(A,A)),meet(meet(A,meet(B,join(A,A))),meet(A,A))) )],[refute_0_255,refute_0_256]) ).
cnf(refute_0_258,plain,
meet(meet(meet(A,A),meet(B,join(A,A))),meet(A,A)) = meet(meet(A,meet(B,join(A,A))),A),
inference(resolve,[$cnf( $equal(meet(meet(A,meet(B,join(A,A))),meet(A,A)),meet(meet(A,meet(B,join(A,A))),A)) )],[refute_0_247,refute_0_257]) ).
cnf(refute_0_259,plain,
join(meet(meet(A,meet(B,join(A,A))),A),meet(meet(meet(A,A),meet(B,join(A,A))),meet(A,A))) = join(meet(meet(A,meet(B,join(A,A))),A),meet(meet(meet(A,A),meet(B,join(A,A))),meet(A,A))),
introduced(tautology,[refl,[$fot(join(meet(meet(A,meet(B,join(A,A))),A),meet(meet(meet(A,A),meet(B,join(A,A))),meet(A,A))))]]) ).
cnf(refute_0_260,plain,
( join(meet(meet(A,meet(B,join(A,A))),A),meet(meet(meet(A,A),meet(B,join(A,A))),meet(A,A))) != join(meet(meet(A,meet(B,join(A,A))),A),meet(meet(meet(A,A),meet(B,join(A,A))),meet(A,A)))
| meet(meet(meet(A,A),meet(B,join(A,A))),meet(A,A)) != meet(meet(A,meet(B,join(A,A))),A)
| join(meet(meet(A,meet(B,join(A,A))),A),meet(meet(meet(A,A),meet(B,join(A,A))),meet(A,A))) = join(meet(meet(A,meet(B,join(A,A))),A),meet(meet(A,meet(B,join(A,A))),A)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(A,meet(B,join(A,A))),A),meet(meet(meet(A,A),meet(B,join(A,A))),meet(A,A))),join(meet(meet(A,meet(B,join(A,A))),A),meet(meet(meet(A,A),meet(B,join(A,A))),meet(A,A)))) ),[1,1],$fot(meet(meet(A,meet(B,join(A,A))),A))]]) ).
cnf(refute_0_261,plain,
( meet(meet(meet(A,A),meet(B,join(A,A))),meet(A,A)) != meet(meet(A,meet(B,join(A,A))),A)
| join(meet(meet(A,meet(B,join(A,A))),A),meet(meet(meet(A,A),meet(B,join(A,A))),meet(A,A))) = join(meet(meet(A,meet(B,join(A,A))),A),meet(meet(A,meet(B,join(A,A))),A)) ),
inference(resolve,[$cnf( $equal(join(meet(meet(A,meet(B,join(A,A))),A),meet(meet(meet(A,A),meet(B,join(A,A))),meet(A,A))),join(meet(meet(A,meet(B,join(A,A))),A),meet(meet(meet(A,A),meet(B,join(A,A))),meet(A,A)))) )],[refute_0_259,refute_0_260]) ).
cnf(refute_0_262,plain,
join(meet(meet(A,meet(B,join(A,A))),A),meet(meet(meet(A,A),meet(B,join(A,A))),meet(A,A))) = join(meet(meet(A,meet(B,join(A,A))),A),meet(meet(A,meet(B,join(A,A))),A)),
inference(resolve,[$cnf( $equal(meet(meet(meet(A,A),meet(B,join(A,A))),meet(A,A)),meet(meet(A,meet(B,join(A,A))),A)) )],[refute_0_258,refute_0_261]) ).
cnf(refute_0_263,plain,
meet(meet(meet(A,A),meet(B,join(A,A))),A) = meet(meet(meet(A,A),meet(B,join(A,A))),A),
introduced(tautology,[refl,[$fot(meet(meet(meet(A,A),meet(B,join(A,A))),A))]]) ).
cnf(refute_0_264,plain,
( meet(meet(A,A),meet(B,join(A,A))) != meet(A,meet(B,join(A,A)))
| meet(meet(meet(A,A),meet(B,join(A,A))),A) != meet(meet(meet(A,A),meet(B,join(A,A))),A)
| meet(meet(meet(A,A),meet(B,join(A,A))),A) = meet(meet(A,meet(B,join(A,A))),A) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(meet(A,A),meet(B,join(A,A))),A),meet(meet(meet(A,A),meet(B,join(A,A))),A)) ),[1,0],$fot(meet(A,meet(B,join(A,A))))]]) ).
cnf(refute_0_265,plain,
( meet(meet(A,A),meet(B,join(A,A))) != meet(A,meet(B,join(A,A)))
| meet(meet(meet(A,A),meet(B,join(A,A))),A) = meet(meet(A,meet(B,join(A,A))),A) ),
inference(resolve,[$cnf( $equal(meet(meet(meet(A,A),meet(B,join(A,A))),A),meet(meet(meet(A,A),meet(B,join(A,A))),A)) )],[refute_0_263,refute_0_264]) ).
cnf(refute_0_266,plain,
meet(meet(meet(A,A),meet(B,join(A,A))),A) = meet(meet(A,meet(B,join(A,A))),A),
inference(resolve,[$cnf( $equal(meet(meet(A,A),meet(B,join(A,A))),meet(A,meet(B,join(A,A)))) )],[refute_0_251,refute_0_265]) ).
cnf(refute_0_267,plain,
join(meet(meet(meet(A,A),meet(B,join(A,A))),A),meet(meet(meet(A,A),meet(B,join(A,A))),meet(A,A))) = join(meet(meet(meet(A,A),meet(B,join(A,A))),A),meet(meet(meet(A,A),meet(B,join(A,A))),meet(A,A))),
introduced(tautology,[refl,[$fot(join(meet(meet(meet(A,A),meet(B,join(A,A))),A),meet(meet(meet(A,A),meet(B,join(A,A))),meet(A,A))))]]) ).
cnf(refute_0_268,plain,
( join(meet(meet(meet(A,A),meet(B,join(A,A))),A),meet(meet(meet(A,A),meet(B,join(A,A))),meet(A,A))) != join(meet(meet(meet(A,A),meet(B,join(A,A))),A),meet(meet(meet(A,A),meet(B,join(A,A))),meet(A,A)))
| meet(meet(meet(A,A),meet(B,join(A,A))),A) != meet(meet(A,meet(B,join(A,A))),A)
| join(meet(meet(meet(A,A),meet(B,join(A,A))),A),meet(meet(meet(A,A),meet(B,join(A,A))),meet(A,A))) = join(meet(meet(A,meet(B,join(A,A))),A),meet(meet(meet(A,A),meet(B,join(A,A))),meet(A,A))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(meet(A,A),meet(B,join(A,A))),A),meet(meet(meet(A,A),meet(B,join(A,A))),meet(A,A))),join(meet(meet(meet(A,A),meet(B,join(A,A))),A),meet(meet(meet(A,A),meet(B,join(A,A))),meet(A,A)))) ),[1,0],$fot(meet(meet(A,meet(B,join(A,A))),A))]]) ).
cnf(refute_0_269,plain,
( meet(meet(meet(A,A),meet(B,join(A,A))),A) != meet(meet(A,meet(B,join(A,A))),A)
| join(meet(meet(meet(A,A),meet(B,join(A,A))),A),meet(meet(meet(A,A),meet(B,join(A,A))),meet(A,A))) = join(meet(meet(A,meet(B,join(A,A))),A),meet(meet(meet(A,A),meet(B,join(A,A))),meet(A,A))) ),
inference(resolve,[$cnf( $equal(join(meet(meet(meet(A,A),meet(B,join(A,A))),A),meet(meet(meet(A,A),meet(B,join(A,A))),meet(A,A))),join(meet(meet(meet(A,A),meet(B,join(A,A))),A),meet(meet(meet(A,A),meet(B,join(A,A))),meet(A,A)))) )],[refute_0_267,refute_0_268]) ).
cnf(refute_0_270,plain,
join(meet(meet(meet(A,A),meet(B,join(A,A))),A),meet(meet(meet(A,A),meet(B,join(A,A))),meet(A,A))) = join(meet(meet(A,meet(B,join(A,A))),A),meet(meet(meet(A,A),meet(B,join(A,A))),meet(A,A))),
inference(resolve,[$cnf( $equal(meet(meet(meet(A,A),meet(B,join(A,A))),A),meet(meet(A,meet(B,join(A,A))),A)) )],[refute_0_266,refute_0_269]) ).
cnf(refute_0_271,plain,
( join(meet(meet(A,meet(B,join(A,A))),A),meet(meet(meet(A,A),meet(B,join(A,A))),meet(A,A))) != join(meet(meet(A,meet(B,join(A,A))),A),meet(meet(A,meet(B,join(A,A))),A))
| join(meet(meet(meet(A,A),meet(B,join(A,A))),A),meet(meet(meet(A,A),meet(B,join(A,A))),meet(A,A))) != join(meet(meet(A,meet(B,join(A,A))),A),meet(meet(meet(A,A),meet(B,join(A,A))),meet(A,A)))
| join(meet(meet(meet(A,A),meet(B,join(A,A))),A),meet(meet(meet(A,A),meet(B,join(A,A))),meet(A,A))) = join(meet(meet(A,meet(B,join(A,A))),A),meet(meet(A,meet(B,join(A,A))),A)) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(meet(meet(meet(A,A),meet(B,join(A,A))),A),meet(meet(meet(A,A),meet(B,join(A,A))),meet(A,A))))),bind(Y,$fot(join(meet(meet(A,meet(B,join(A,A))),A),meet(meet(meet(A,A),meet(B,join(A,A))),meet(A,A))))),bind(Z,$fot(join(meet(meet(A,meet(B,join(A,A))),A),meet(meet(A,meet(B,join(A,A))),A))))]]) ).
cnf(refute_0_272,plain,
( join(meet(meet(A,meet(B,join(A,A))),A),meet(meet(meet(A,A),meet(B,join(A,A))),meet(A,A))) != join(meet(meet(A,meet(B,join(A,A))),A),meet(meet(A,meet(B,join(A,A))),A))
| join(meet(meet(meet(A,A),meet(B,join(A,A))),A),meet(meet(meet(A,A),meet(B,join(A,A))),meet(A,A))) = join(meet(meet(A,meet(B,join(A,A))),A),meet(meet(A,meet(B,join(A,A))),A)) ),
inference(resolve,[$cnf( $equal(join(meet(meet(meet(A,A),meet(B,join(A,A))),A),meet(meet(meet(A,A),meet(B,join(A,A))),meet(A,A))),join(meet(meet(A,meet(B,join(A,A))),A),meet(meet(meet(A,A),meet(B,join(A,A))),meet(A,A)))) )],[refute_0_270,refute_0_271]) ).
cnf(refute_0_273,plain,
join(meet(meet(meet(A,A),meet(B,join(A,A))),A),meet(meet(meet(A,A),meet(B,join(A,A))),meet(A,A))) = join(meet(meet(A,meet(B,join(A,A))),A),meet(meet(A,meet(B,join(A,A))),A)),
inference(resolve,[$cnf( $equal(join(meet(meet(A,meet(B,join(A,A))),A),meet(meet(meet(A,A),meet(B,join(A,A))),meet(A,A))),join(meet(meet(A,meet(B,join(A,A))),A),meet(meet(A,meet(B,join(A,A))),A))) )],[refute_0_262,refute_0_272]) ).
cnf(refute_0_274,plain,
( join(meet(meet(meet(A,A),meet(B,join(A,A))),A),meet(meet(meet(A,A),meet(B,join(A,A))),meet(A,A))) != join(meet(meet(A,meet(B,join(A,A))),A),meet(meet(A,meet(B,join(A,A))),A))
| join(meet(meet(meet(A,A),meet(B,join(A,A))),A),meet(meet(meet(A,A),meet(B,join(A,A))),meet(A,A))) != meet(meet(A,A),meet(B,join(A,A)))
| join(meet(meet(A,meet(B,join(A,A))),A),meet(meet(A,meet(B,join(A,A))),A)) = meet(meet(A,A),meet(B,join(A,A))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(meet(A,A),meet(B,join(A,A))),A),meet(meet(meet(A,A),meet(B,join(A,A))),meet(A,A))),meet(meet(A,A),meet(B,join(A,A)))) ),[0],$fot(join(meet(meet(A,meet(B,join(A,A))),A),meet(meet(A,meet(B,join(A,A))),A)))]]) ).
cnf(refute_0_275,plain,
( join(meet(meet(meet(A,A),meet(B,join(A,A))),A),meet(meet(meet(A,A),meet(B,join(A,A))),meet(A,A))) != meet(meet(A,A),meet(B,join(A,A)))
| join(meet(meet(A,meet(B,join(A,A))),A),meet(meet(A,meet(B,join(A,A))),A)) = meet(meet(A,A),meet(B,join(A,A))) ),
inference(resolve,[$cnf( $equal(join(meet(meet(meet(A,A),meet(B,join(A,A))),A),meet(meet(meet(A,A),meet(B,join(A,A))),meet(A,A))),join(meet(meet(A,meet(B,join(A,A))),A),meet(meet(A,meet(B,join(A,A))),A))) )],[refute_0_273,refute_0_274]) ).
cnf(refute_0_276,plain,
( join(meet(meet(A,meet(B,join(A,A))),A),meet(meet(A,meet(B,join(A,A))),A)) != meet(meet(A,A),meet(B,join(A,A)))
| meet(meet(A,A),meet(B,join(A,A))) != meet(A,meet(B,join(A,A)))
| join(meet(meet(A,meet(B,join(A,A))),A),meet(meet(A,meet(B,join(A,A))),A)) = meet(A,meet(B,join(A,A))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(meet(meet(A,meet(B,join(A,A))),A),meet(meet(A,meet(B,join(A,A))),A)),meet(A,meet(B,join(A,A)))) ),[0],$fot(meet(meet(A,A),meet(B,join(A,A))))]]) ).
cnf(refute_0_277,plain,
( join(meet(meet(A,meet(B,join(A,A))),A),meet(meet(A,meet(B,join(A,A))),A)) != meet(meet(A,A),meet(B,join(A,A)))
| join(meet(meet(A,meet(B,join(A,A))),A),meet(meet(A,meet(B,join(A,A))),A)) = meet(A,meet(B,join(A,A))) ),
inference(resolve,[$cnf( $equal(meet(meet(A,A),meet(B,join(A,A))),meet(A,meet(B,join(A,A)))) )],[refute_0_251,refute_0_276]) ).
cnf(refute_0_278,plain,
( join(meet(meet(meet(A,A),meet(B,join(A,A))),A),meet(meet(meet(A,A),meet(B,join(A,A))),meet(A,A))) != meet(meet(A,A),meet(B,join(A,A)))
| join(meet(meet(A,meet(B,join(A,A))),A),meet(meet(A,meet(B,join(A,A))),A)) = meet(A,meet(B,join(A,A))) ),
inference(resolve,[$cnf( $equal(join(meet(meet(A,meet(B,join(A,A))),A),meet(meet(A,meet(B,join(A,A))),A)),meet(meet(A,A),meet(B,join(A,A)))) )],[refute_0_275,refute_0_277]) ).
cnf(refute_0_279,plain,
join(meet(meet(A,meet(B,join(A,A))),A),meet(meet(A,meet(B,join(A,A))),A)) = meet(A,meet(B,join(A,A))),
inference(resolve,[$cnf( $equal(join(meet(meet(meet(A,A),meet(B,join(A,A))),A),meet(meet(meet(A,A),meet(B,join(A,A))),meet(A,A))),meet(meet(A,A),meet(B,join(A,A)))) )],[refute_0_243,refute_0_278]) ).
cnf(refute_0_280,plain,
meet(A,meet(B,join(A,A))) = meet(A,meet(B,join(A,A))),
introduced(tautology,[refl,[$fot(meet(A,meet(B,join(A,A))))]]) ).
cnf(refute_0_281,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_282,plain,
( meet(B,join(A,A)) != meet(B,A)
| meet(A,meet(B,join(A,A))) = meet(A,meet(B,A)) ),
inference(resolve,[$cnf( $equal(meet(A,meet(B,join(A,A))),meet(A,meet(B,join(A,A)))) )],[refute_0_280,refute_0_281]) ).
cnf(refute_0_283,plain,
meet(A,meet(B,join(A,A))) = meet(A,meet(B,A)),
inference(resolve,[$cnf( $equal(meet(B,join(A,A)),meet(B,A)) )],[refute_0_138,refute_0_282]) ).
cnf(refute_0_284,plain,
meet(meet(A,meet(B,join(A,A))),A) = meet(meet(A,meet(B,join(A,A))),A),
introduced(tautology,[refl,[$fot(meet(meet(A,meet(B,join(A,A))),A))]]) ).
cnf(refute_0_285,plain,
( meet(A,meet(B,join(A,A))) != meet(A,meet(B,A))
| meet(meet(A,meet(B,join(A,A))),A) != meet(meet(A,meet(B,join(A,A))),A)
| meet(meet(A,meet(B,join(A,A))),A) = meet(meet(A,meet(B,A)),A) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(A,meet(B,join(A,A))),A),meet(meet(A,meet(B,join(A,A))),A)) ),[1,0],$fot(meet(A,meet(B,A)))]]) ).
cnf(refute_0_286,plain,
( meet(A,meet(B,join(A,A))) != meet(A,meet(B,A))
| meet(meet(A,meet(B,join(A,A))),A) = meet(meet(A,meet(B,A)),A) ),
inference(resolve,[$cnf( $equal(meet(meet(A,meet(B,join(A,A))),A),meet(meet(A,meet(B,join(A,A))),A)) )],[refute_0_284,refute_0_285]) ).
cnf(refute_0_287,plain,
meet(meet(A,meet(B,join(A,A))),A) = meet(meet(A,meet(B,A)),A),
inference(resolve,[$cnf( $equal(meet(A,meet(B,join(A,A))),meet(A,meet(B,A))) )],[refute_0_283,refute_0_286]) ).
cnf(refute_0_288,plain,
join(meet(meet(A,meet(B,join(A,A))),A),meet(meet(A,meet(B,join(A,A))),A)) = meet(meet(A,meet(B,join(A,A))),A),
inference(subst,[],[refute_0_133:[bind(X_12,$fot(meet(meet(A,meet(B,join(A,A))),A)))]]) ).
cnf(refute_0_289,plain,
( join(meet(meet(A,meet(B,join(A,A))),A),meet(meet(A,meet(B,join(A,A))),A)) != meet(meet(A,meet(B,join(A,A))),A)
| meet(meet(A,meet(B,join(A,A))),A) != meet(meet(A,meet(B,A)),A)
| join(meet(meet(A,meet(B,join(A,A))),A),meet(meet(A,meet(B,join(A,A))),A)) = meet(meet(A,meet(B,A)),A) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(meet(meet(A,meet(B,join(A,A))),A),meet(meet(A,meet(B,join(A,A))),A)))),bind(Y,$fot(meet(meet(A,meet(B,join(A,A))),A))),bind(Z,$fot(meet(meet(A,meet(B,A)),A)))]]) ).
cnf(refute_0_290,plain,
( meet(meet(A,meet(B,join(A,A))),A) != meet(meet(A,meet(B,A)),A)
| join(meet(meet(A,meet(B,join(A,A))),A),meet(meet(A,meet(B,join(A,A))),A)) = meet(meet(A,meet(B,A)),A) ),
inference(resolve,[$cnf( $equal(join(meet(meet(A,meet(B,join(A,A))),A),meet(meet(A,meet(B,join(A,A))),A)),meet(meet(A,meet(B,join(A,A))),A)) )],[refute_0_288,refute_0_289]) ).
cnf(refute_0_291,plain,
join(meet(meet(A,meet(B,join(A,A))),A),meet(meet(A,meet(B,join(A,A))),A)) = meet(meet(A,meet(B,A)),A),
inference(resolve,[$cnf( $equal(meet(meet(A,meet(B,join(A,A))),A),meet(meet(A,meet(B,A)),A)) )],[refute_0_287,refute_0_290]) ).
cnf(refute_0_292,plain,
( join(meet(meet(A,meet(B,join(A,A))),A),meet(meet(A,meet(B,join(A,A))),A)) != meet(A,meet(B,join(A,A)))
| join(meet(meet(A,meet(B,join(A,A))),A),meet(meet(A,meet(B,join(A,A))),A)) != meet(meet(A,meet(B,A)),A)
| meet(meet(A,meet(B,A)),A) = meet(A,meet(B,join(A,A))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(A,meet(B,join(A,A))),A),meet(meet(A,meet(B,join(A,A))),A)),meet(A,meet(B,join(A,A)))) ),[0],$fot(meet(meet(A,meet(B,A)),A))]]) ).
cnf(refute_0_293,plain,
( join(meet(meet(A,meet(B,join(A,A))),A),meet(meet(A,meet(B,join(A,A))),A)) != meet(A,meet(B,join(A,A)))
| meet(meet(A,meet(B,A)),A) = meet(A,meet(B,join(A,A))) ),
inference(resolve,[$cnf( $equal(join(meet(meet(A,meet(B,join(A,A))),A),meet(meet(A,meet(B,join(A,A))),A)),meet(meet(A,meet(B,A)),A)) )],[refute_0_291,refute_0_292]) ).
cnf(refute_0_294,plain,
( meet(A,meet(B,join(A,A))) != meet(A,meet(B,A))
| meet(meet(A,meet(B,A)),A) != meet(A,meet(B,join(A,A)))
| meet(meet(A,meet(B,A)),A) = meet(A,meet(B,A)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(A,meet(B,A)),A),meet(A,meet(B,join(A,A)))) ),[1],$fot(meet(A,meet(B,A)))]]) ).
cnf(refute_0_295,plain,
( meet(meet(A,meet(B,A)),A) != meet(A,meet(B,join(A,A)))
| meet(meet(A,meet(B,A)),A) = meet(A,meet(B,A)) ),
inference(resolve,[$cnf( $equal(meet(A,meet(B,join(A,A))),meet(A,meet(B,A))) )],[refute_0_283,refute_0_294]) ).
cnf(refute_0_296,plain,
( join(meet(meet(A,meet(B,join(A,A))),A),meet(meet(A,meet(B,join(A,A))),A)) != meet(A,meet(B,join(A,A)))
| meet(meet(A,meet(B,A)),A) = meet(A,meet(B,A)) ),
inference(resolve,[$cnf( $equal(meet(meet(A,meet(B,A)),A),meet(A,meet(B,join(A,A)))) )],[refute_0_293,refute_0_295]) ).
cnf(refute_0_297,plain,
meet(meet(A,meet(B,A)),A) = meet(A,meet(B,A)),
inference(resolve,[$cnf( $equal(join(meet(meet(A,meet(B,join(A,A))),A),meet(meet(A,meet(B,join(A,A))),A)),meet(A,meet(B,join(A,A)))) )],[refute_0_279,refute_0_296]) ).
cnf(refute_0_298,plain,
join(join(meet(meet(X_35,meet(X_34,X_35)),meet(X_34,X_35)),meet(X_35,meet(X_34,X_35))),meet(X_35,meet(X_34,X_35))) = meet(X_35,meet(X_34,X_35)),
inference(subst,[],[refute_0_224:[bind(A,$fot(meet(X_35,meet(X_34,X_35)))),bind(B,$fot(meet(X_34,X_35)))]]) ).
cnf(refute_0_299,plain,
meet(meet(X_35,meet(X_34,X_35)),meet(X_34,X_35)) = meet(X_34,X_35),
inference(subst,[],[refute_0_78:[bind(A,$fot(X_34)),bind(B,$fot(X_35))]]) ).
cnf(refute_0_300,plain,
( join(join(meet(meet(X_35,meet(X_34,X_35)),meet(X_34,X_35)),meet(X_35,meet(X_34,X_35))),meet(X_35,meet(X_34,X_35))) != meet(X_35,meet(X_34,X_35))
| meet(meet(X_35,meet(X_34,X_35)),meet(X_34,X_35)) != meet(X_34,X_35)
| join(join(meet(X_34,X_35),meet(X_35,meet(X_34,X_35))),meet(X_35,meet(X_34,X_35))) = meet(X_35,meet(X_34,X_35)) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(meet(meet(X_35,meet(X_34,X_35)),meet(X_34,X_35)),meet(X_35,meet(X_34,X_35))),meet(X_35,meet(X_34,X_35))),meet(X_35,meet(X_34,X_35))) ),[0,0,0],$fot(meet(X_34,X_35))]]) ).
cnf(refute_0_301,plain,
( join(join(meet(meet(X_35,meet(X_34,X_35)),meet(X_34,X_35)),meet(X_35,meet(X_34,X_35))),meet(X_35,meet(X_34,X_35))) != meet(X_35,meet(X_34,X_35))
| join(join(meet(X_34,X_35),meet(X_35,meet(X_34,X_35))),meet(X_35,meet(X_34,X_35))) = meet(X_35,meet(X_34,X_35)) ),
inference(resolve,[$cnf( $equal(meet(meet(X_35,meet(X_34,X_35)),meet(X_34,X_35)),meet(X_34,X_35)) )],[refute_0_299,refute_0_300]) ).
cnf(refute_0_302,plain,
join(join(meet(X_34,X_35),meet(X_35,meet(X_34,X_35))),meet(X_35,meet(X_34,X_35))) = meet(X_35,meet(X_34,X_35)),
inference(resolve,[$cnf( $equal(join(join(meet(meet(X_35,meet(X_34,X_35)),meet(X_34,X_35)),meet(X_35,meet(X_34,X_35))),meet(X_35,meet(X_34,X_35))),meet(X_35,meet(X_34,X_35))) )],[refute_0_298,refute_0_301]) ).
cnf(refute_0_303,plain,
join(meet(X_34,X_35),meet(X_35,meet(X_34,X_35))) = meet(X_34,X_35),
inference(subst,[],[refute_0_145:[bind(A,$fot(meet(X_34,X_35))),bind(B,$fot(X_35))]]) ).
cnf(refute_0_304,plain,
join(join(meet(X_34,X_35),meet(X_35,meet(X_34,X_35))),meet(X_35,meet(X_34,X_35))) = join(join(meet(X_34,X_35),meet(X_35,meet(X_34,X_35))),meet(X_35,meet(X_34,X_35))),
introduced(tautology,[refl,[$fot(join(join(meet(X_34,X_35),meet(X_35,meet(X_34,X_35))),meet(X_35,meet(X_34,X_35))))]]) ).
cnf(refute_0_305,plain,
( join(join(meet(X_34,X_35),meet(X_35,meet(X_34,X_35))),meet(X_35,meet(X_34,X_35))) != join(join(meet(X_34,X_35),meet(X_35,meet(X_34,X_35))),meet(X_35,meet(X_34,X_35)))
| join(meet(X_34,X_35),meet(X_35,meet(X_34,X_35))) != meet(X_34,X_35)
| join(join(meet(X_34,X_35),meet(X_35,meet(X_34,X_35))),meet(X_35,meet(X_34,X_35))) = join(meet(X_34,X_35),meet(X_35,meet(X_34,X_35))) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(meet(X_34,X_35),meet(X_35,meet(X_34,X_35))),meet(X_35,meet(X_34,X_35))),join(join(meet(X_34,X_35),meet(X_35,meet(X_34,X_35))),meet(X_35,meet(X_34,X_35)))) ),[1,0],$fot(meet(X_34,X_35))]]) ).
cnf(refute_0_306,plain,
( join(meet(X_34,X_35),meet(X_35,meet(X_34,X_35))) != meet(X_34,X_35)
| join(join(meet(X_34,X_35),meet(X_35,meet(X_34,X_35))),meet(X_35,meet(X_34,X_35))) = join(meet(X_34,X_35),meet(X_35,meet(X_34,X_35))) ),
inference(resolve,[$cnf( $equal(join(join(meet(X_34,X_35),meet(X_35,meet(X_34,X_35))),meet(X_35,meet(X_34,X_35))),join(join(meet(X_34,X_35),meet(X_35,meet(X_34,X_35))),meet(X_35,meet(X_34,X_35)))) )],[refute_0_304,refute_0_305]) ).
cnf(refute_0_307,plain,
join(join(meet(X_34,X_35),meet(X_35,meet(X_34,X_35))),meet(X_35,meet(X_34,X_35))) = join(meet(X_34,X_35),meet(X_35,meet(X_34,X_35))),
inference(resolve,[$cnf( $equal(join(meet(X_34,X_35),meet(X_35,meet(X_34,X_35))),meet(X_34,X_35)) )],[refute_0_303,refute_0_306]) ).
cnf(refute_0_308,plain,
( join(join(meet(X_34,X_35),meet(X_35,meet(X_34,X_35))),meet(X_35,meet(X_34,X_35))) != join(meet(X_34,X_35),meet(X_35,meet(X_34,X_35)))
| join(meet(X_34,X_35),meet(X_35,meet(X_34,X_35))) != meet(X_34,X_35)
| join(join(meet(X_34,X_35),meet(X_35,meet(X_34,X_35))),meet(X_35,meet(X_34,X_35))) = meet(X_34,X_35) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(join(meet(X_34,X_35),meet(X_35,meet(X_34,X_35))),meet(X_35,meet(X_34,X_35))))),bind(Y,$fot(join(meet(X_34,X_35),meet(X_35,meet(X_34,X_35))))),bind(Z,$fot(meet(X_34,X_35)))]]) ).
cnf(refute_0_309,plain,
( join(meet(X_34,X_35),meet(X_35,meet(X_34,X_35))) != meet(X_34,X_35)
| join(join(meet(X_34,X_35),meet(X_35,meet(X_34,X_35))),meet(X_35,meet(X_34,X_35))) = meet(X_34,X_35) ),
inference(resolve,[$cnf( $equal(join(join(meet(X_34,X_35),meet(X_35,meet(X_34,X_35))),meet(X_35,meet(X_34,X_35))),join(meet(X_34,X_35),meet(X_35,meet(X_34,X_35)))) )],[refute_0_307,refute_0_308]) ).
cnf(refute_0_310,plain,
join(join(meet(X_34,X_35),meet(X_35,meet(X_34,X_35))),meet(X_35,meet(X_34,X_35))) = meet(X_34,X_35),
inference(resolve,[$cnf( $equal(join(meet(X_34,X_35),meet(X_35,meet(X_34,X_35))),meet(X_34,X_35)) )],[refute_0_303,refute_0_309]) ).
cnf(refute_0_311,plain,
( join(join(meet(X_34,X_35),meet(X_35,meet(X_34,X_35))),meet(X_35,meet(X_34,X_35))) != meet(X_34,X_35)
| join(join(meet(X_34,X_35),meet(X_35,meet(X_34,X_35))),meet(X_35,meet(X_34,X_35))) != meet(X_35,meet(X_34,X_35))
| meet(X_34,X_35) = meet(X_35,meet(X_34,X_35)) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(meet(X_34,X_35),meet(X_35,meet(X_34,X_35))),meet(X_35,meet(X_34,X_35))),meet(X_35,meet(X_34,X_35))) ),[0],$fot(meet(X_34,X_35))]]) ).
cnf(refute_0_312,plain,
( join(join(meet(X_34,X_35),meet(X_35,meet(X_34,X_35))),meet(X_35,meet(X_34,X_35))) != meet(X_35,meet(X_34,X_35))
| meet(X_34,X_35) = meet(X_35,meet(X_34,X_35)) ),
inference(resolve,[$cnf( $equal(join(join(meet(X_34,X_35),meet(X_35,meet(X_34,X_35))),meet(X_35,meet(X_34,X_35))),meet(X_34,X_35)) )],[refute_0_310,refute_0_311]) ).
cnf(refute_0_313,plain,
meet(X_34,X_35) = meet(X_35,meet(X_34,X_35)),
inference(resolve,[$cnf( $equal(join(join(meet(X_34,X_35),meet(X_35,meet(X_34,X_35))),meet(X_35,meet(X_34,X_35))),meet(X_35,meet(X_34,X_35))) )],[refute_0_302,refute_0_312]) ).
cnf(refute_0_314,plain,
( meet(X_34,X_35) != meet(X_35,meet(X_34,X_35))
| meet(X_35,meet(X_34,X_35)) = meet(X_34,X_35) ),
inference(subst,[],[refute_0_25:[bind(X,$fot(meet(X_34,X_35))),bind(Y,$fot(meet(X_35,meet(X_34,X_35))))]]) ).
cnf(refute_0_315,plain,
meet(X_35,meet(X_34,X_35)) = meet(X_34,X_35),
inference(resolve,[$cnf( $equal(meet(X_34,X_35),meet(X_35,meet(X_34,X_35))) )],[refute_0_313,refute_0_314]) ).
cnf(refute_0_316,plain,
meet(A,meet(B,A)) = meet(B,A),
inference(subst,[],[refute_0_315:[bind(X_34,$fot(B)),bind(X_35,$fot(A))]]) ).
cnf(refute_0_317,plain,
meet(meet(A,meet(B,A)),A) = meet(meet(A,meet(B,A)),A),
introduced(tautology,[refl,[$fot(meet(meet(A,meet(B,A)),A))]]) ).
cnf(refute_0_318,plain,
( meet(A,meet(B,A)) != meet(B,A)
| meet(meet(A,meet(B,A)),A) != meet(meet(A,meet(B,A)),A)
| meet(meet(A,meet(B,A)),A) = meet(meet(B,A),A) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(A,meet(B,A)),A),meet(meet(A,meet(B,A)),A)) ),[1,0],$fot(meet(B,A))]]) ).
cnf(refute_0_319,plain,
( meet(A,meet(B,A)) != meet(B,A)
| meet(meet(A,meet(B,A)),A) = meet(meet(B,A),A) ),
inference(resolve,[$cnf( $equal(meet(meet(A,meet(B,A)),A),meet(meet(A,meet(B,A)),A)) )],[refute_0_317,refute_0_318]) ).
cnf(refute_0_320,plain,
meet(meet(A,meet(B,A)),A) = meet(meet(B,A),A),
inference(resolve,[$cnf( $equal(meet(A,meet(B,A)),meet(B,A)) )],[refute_0_316,refute_0_319]) ).
cnf(refute_0_321,plain,
( meet(meet(A,meet(B,A)),A) != meet(A,meet(B,A))
| meet(meet(A,meet(B,A)),A) != meet(meet(B,A),A)
| meet(meet(B,A),A) = meet(A,meet(B,A)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(A,meet(B,A)),A),meet(A,meet(B,A))) ),[0],$fot(meet(meet(B,A),A))]]) ).
cnf(refute_0_322,plain,
( meet(meet(A,meet(B,A)),A) != meet(A,meet(B,A))
| meet(meet(B,A),A) = meet(A,meet(B,A)) ),
inference(resolve,[$cnf( $equal(meet(meet(A,meet(B,A)),A),meet(meet(B,A),A)) )],[refute_0_320,refute_0_321]) ).
cnf(refute_0_323,plain,
( meet(A,meet(B,A)) != meet(B,A)
| meet(meet(B,A),A) != meet(A,meet(B,A))
| meet(meet(B,A),A) = meet(B,A) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(B,A),A),meet(A,meet(B,A))) ),[1],$fot(meet(B,A))]]) ).
cnf(refute_0_324,plain,
( meet(meet(B,A),A) != meet(A,meet(B,A))
| meet(meet(B,A),A) = meet(B,A) ),
inference(resolve,[$cnf( $equal(meet(A,meet(B,A)),meet(B,A)) )],[refute_0_316,refute_0_323]) ).
cnf(refute_0_325,plain,
( meet(meet(A,meet(B,A)),A) != meet(A,meet(B,A))
| meet(meet(B,A),A) = meet(B,A) ),
inference(resolve,[$cnf( $equal(meet(meet(B,A),A),meet(A,meet(B,A))) )],[refute_0_322,refute_0_324]) ).
cnf(refute_0_326,plain,
meet(meet(B,A),A) = meet(B,A),
inference(resolve,[$cnf( $equal(meet(meet(A,meet(B,A)),A),meet(A,meet(B,A))) )],[refute_0_297,refute_0_325]) ).
cnf(refute_0_327,plain,
meet(meet(X_10,join(meet(X_10,X_33),X_10)),join(meet(X_10,X_33),X_10)) = meet(X_10,join(meet(X_10,X_33),X_10)),
inference(subst,[],[refute_0_326:[bind(A,$fot(join(meet(X_10,X_33),X_10))),bind(B,$fot(X_10))]]) ).
cnf(refute_0_328,plain,
( meet(meet(X_10,join(meet(X_10,X_33),X_10)),join(meet(X_10,X_33),X_10)) != join(meet(X_10,X_33),X_10)
| meet(meet(X_10,join(meet(X_10,X_33),X_10)),join(meet(X_10,X_33),X_10)) != meet(X_10,join(meet(X_10,X_33),X_10))
| meet(X_10,join(meet(X_10,X_33),X_10)) = join(meet(X_10,X_33),X_10) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_10,join(meet(X_10,X_33),X_10)),join(meet(X_10,X_33),X_10)),join(meet(X_10,X_33),X_10)) ),[0],$fot(meet(X_10,join(meet(X_10,X_33),X_10)))]]) ).
cnf(refute_0_329,plain,
( meet(meet(X_10,join(meet(X_10,X_33),X_10)),join(meet(X_10,X_33),X_10)) != join(meet(X_10,X_33),X_10)
| meet(X_10,join(meet(X_10,X_33),X_10)) = join(meet(X_10,X_33),X_10) ),
inference(resolve,[$cnf( $equal(meet(meet(X_10,join(meet(X_10,X_33),X_10)),join(meet(X_10,X_33),X_10)),meet(X_10,join(meet(X_10,X_33),X_10))) )],[refute_0_327,refute_0_328]) ).
cnf(refute_0_330,plain,
meet(X_10,join(meet(X_10,X_33),X_10)) = join(meet(X_10,X_33),X_10),
inference(resolve,[$cnf( $equal(meet(meet(X_10,join(meet(X_10,X_33),X_10)),join(meet(X_10,X_33),X_10)),join(meet(X_10,X_33),X_10)) )],[refute_0_228,refute_0_329]) ).
cnf(refute_0_331,plain,
meet(meet(join(X_69,B),join(C,X_69)),join(meet(meet(join(X_69,B),join(C,X_69)),X_69),meet(join(X_69,B),join(C,X_69)))) = join(meet(meet(join(X_69,B),join(C,X_69)),X_69),meet(join(X_69,B),join(C,X_69))),
inference(subst,[],[refute_0_330:[bind(X_10,$fot(meet(join(X_69,B),join(C,X_69)))),bind(X_33,$fot(X_69))]]) ).
cnf(refute_0_332,plain,
meet(meet(join(X_69,B),join(C,X_69)),X_69) = X_69,
inference(subst,[],[wal_absorbtion_4:[bind(A,$fot(X_69))]]) ).
cnf(refute_0_333,plain,
( meet(meet(join(X_69,B),join(C,X_69)),X_69) != X_69
| meet(meet(join(X_69,B),join(C,X_69)),join(meet(meet(join(X_69,B),join(C,X_69)),X_69),meet(join(X_69,B),join(C,X_69)))) != join(meet(meet(join(X_69,B),join(C,X_69)),X_69),meet(join(X_69,B),join(C,X_69)))
| meet(meet(join(X_69,B),join(C,X_69)),join(X_69,meet(join(X_69,B),join(C,X_69)))) = join(meet(meet(join(X_69,B),join(C,X_69)),X_69),meet(join(X_69,B),join(C,X_69))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(join(X_69,B),join(C,X_69)),join(meet(meet(join(X_69,B),join(C,X_69)),X_69),meet(join(X_69,B),join(C,X_69)))),join(meet(meet(join(X_69,B),join(C,X_69)),X_69),meet(join(X_69,B),join(C,X_69)))) ),[0,1,0],$fot(X_69)]]) ).
cnf(refute_0_334,plain,
( meet(meet(join(X_69,B),join(C,X_69)),join(meet(meet(join(X_69,B),join(C,X_69)),X_69),meet(join(X_69,B),join(C,X_69)))) != join(meet(meet(join(X_69,B),join(C,X_69)),X_69),meet(join(X_69,B),join(C,X_69)))
| meet(meet(join(X_69,B),join(C,X_69)),join(X_69,meet(join(X_69,B),join(C,X_69)))) = join(meet(meet(join(X_69,B),join(C,X_69)),X_69),meet(join(X_69,B),join(C,X_69))) ),
inference(resolve,[$cnf( $equal(meet(meet(join(X_69,B),join(C,X_69)),X_69),X_69) )],[refute_0_332,refute_0_333]) ).
cnf(refute_0_335,plain,
meet(meet(join(X_69,B),join(C,X_69)),join(X_69,meet(join(X_69,B),join(C,X_69)))) = join(meet(meet(join(X_69,B),join(C,X_69)),X_69),meet(join(X_69,B),join(C,X_69))),
inference(resolve,[$cnf( $equal(meet(meet(join(X_69,B),join(C,X_69)),join(meet(meet(join(X_69,B),join(C,X_69)),X_69),meet(join(X_69,B),join(C,X_69)))),join(meet(meet(join(X_69,B),join(C,X_69)),X_69),meet(join(X_69,B),join(C,X_69)))) )],[refute_0_331,refute_0_334]) ).
cnf(refute_0_336,plain,
join(meet(meet(join(X_69,B),join(C,X_69)),X_69),meet(join(X_69,B),join(C,X_69))) = join(meet(meet(join(X_69,B),join(C,X_69)),X_69),meet(join(X_69,B),join(C,X_69))),
introduced(tautology,[refl,[$fot(join(meet(meet(join(X_69,B),join(C,X_69)),X_69),meet(join(X_69,B),join(C,X_69))))]]) ).
cnf(refute_0_337,plain,
( join(meet(meet(join(X_69,B),join(C,X_69)),X_69),meet(join(X_69,B),join(C,X_69))) != join(meet(meet(join(X_69,B),join(C,X_69)),X_69),meet(join(X_69,B),join(C,X_69)))
| meet(meet(join(X_69,B),join(C,X_69)),X_69) != X_69
| join(meet(meet(join(X_69,B),join(C,X_69)),X_69),meet(join(X_69,B),join(C,X_69))) = join(X_69,meet(join(X_69,B),join(C,X_69))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(join(X_69,B),join(C,X_69)),X_69),meet(join(X_69,B),join(C,X_69))),join(meet(meet(join(X_69,B),join(C,X_69)),X_69),meet(join(X_69,B),join(C,X_69)))) ),[1,0],$fot(X_69)]]) ).
cnf(refute_0_338,plain,
( meet(meet(join(X_69,B),join(C,X_69)),X_69) != X_69
| join(meet(meet(join(X_69,B),join(C,X_69)),X_69),meet(join(X_69,B),join(C,X_69))) = join(X_69,meet(join(X_69,B),join(C,X_69))) ),
inference(resolve,[$cnf( $equal(join(meet(meet(join(X_69,B),join(C,X_69)),X_69),meet(join(X_69,B),join(C,X_69))),join(meet(meet(join(X_69,B),join(C,X_69)),X_69),meet(join(X_69,B),join(C,X_69)))) )],[refute_0_336,refute_0_337]) ).
cnf(refute_0_339,plain,
join(meet(meet(join(X_69,B),join(C,X_69)),X_69),meet(join(X_69,B),join(C,X_69))) = join(X_69,meet(join(X_69,B),join(C,X_69))),
inference(resolve,[$cnf( $equal(meet(meet(join(X_69,B),join(C,X_69)),X_69),X_69) )],[refute_0_332,refute_0_338]) ).
cnf(refute_0_340,plain,
( join(meet(meet(join(X_69,B),join(C,X_69)),X_69),meet(join(X_69,B),join(C,X_69))) != join(X_69,meet(join(X_69,B),join(C,X_69)))
| meet(meet(join(X_69,B),join(C,X_69)),join(X_69,meet(join(X_69,B),join(C,X_69)))) != join(meet(meet(join(X_69,B),join(C,X_69)),X_69),meet(join(X_69,B),join(C,X_69)))
| meet(meet(join(X_69,B),join(C,X_69)),join(X_69,meet(join(X_69,B),join(C,X_69)))) = join(X_69,meet(join(X_69,B),join(C,X_69))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(join(X_69,B),join(C,X_69)),join(X_69,meet(join(X_69,B),join(C,X_69)))),join(meet(meet(join(X_69,B),join(C,X_69)),X_69),meet(join(X_69,B),join(C,X_69)))) ),[1],$fot(join(X_69,meet(join(X_69,B),join(C,X_69))))]]) ).
cnf(refute_0_341,plain,
( meet(meet(join(X_69,B),join(C,X_69)),join(X_69,meet(join(X_69,B),join(C,X_69)))) != join(meet(meet(join(X_69,B),join(C,X_69)),X_69),meet(join(X_69,B),join(C,X_69)))
| meet(meet(join(X_69,B),join(C,X_69)),join(X_69,meet(join(X_69,B),join(C,X_69)))) = join(X_69,meet(join(X_69,B),join(C,X_69))) ),
inference(resolve,[$cnf( $equal(join(meet(meet(join(X_69,B),join(C,X_69)),X_69),meet(join(X_69,B),join(C,X_69))),join(X_69,meet(join(X_69,B),join(C,X_69)))) )],[refute_0_339,refute_0_340]) ).
cnf(refute_0_342,plain,
meet(meet(join(X_69,B),join(C,X_69)),join(X_69,meet(join(X_69,B),join(C,X_69)))) = join(X_69,meet(join(X_69,B),join(C,X_69))),
inference(resolve,[$cnf( $equal(meet(meet(join(X_69,B),join(C,X_69)),join(X_69,meet(join(X_69,B),join(C,X_69)))),join(meet(meet(join(X_69,B),join(C,X_69)),X_69),meet(join(X_69,B),join(C,X_69)))) )],[refute_0_335,refute_0_341]) ).
cnf(refute_0_343,plain,
join(meet(meet(A,B),meet(A,join(A,B))),meet(meet(A,join(A,B)),join(meet(A,B),meet(A,join(A,B))))) = meet(A,join(A,B)),
inference(subst,[],[wal_absorbtion_3:[bind(A,$fot(meet(A,B))),bind(B,$fot(meet(A,join(A,B))))]]) ).
cnf(refute_0_344,plain,
( join(meet(A,B),meet(A,join(A,B))) != A
| join(meet(meet(A,B),meet(A,join(A,B))),meet(meet(A,join(A,B)),join(meet(A,B),meet(A,join(A,B))))) != meet(A,join(A,B))
| join(meet(meet(A,B),meet(A,join(A,B))),meet(meet(A,join(A,B)),A)) = meet(A,join(A,B)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(A,B),meet(A,join(A,B))),meet(meet(A,join(A,B)),join(meet(A,B),meet(A,join(A,B))))),meet(A,join(A,B))) ),[0,1,1],$fot(A)]]) ).
cnf(refute_0_345,plain,
( join(meet(meet(A,B),meet(A,join(A,B))),meet(meet(A,join(A,B)),join(meet(A,B),meet(A,join(A,B))))) != meet(A,join(A,B))
| join(meet(meet(A,B),meet(A,join(A,B))),meet(meet(A,join(A,B)),A)) = meet(A,join(A,B)) ),
inference(resolve,[$cnf( $equal(join(meet(A,B),meet(A,join(A,B))),A) )],[wal_absorbtion_1,refute_0_344]) ).
cnf(refute_0_346,plain,
join(meet(meet(A,B),meet(A,join(A,B))),meet(meet(A,join(A,B)),A)) = meet(A,join(A,B)),
inference(resolve,[$cnf( $equal(join(meet(meet(A,B),meet(A,join(A,B))),meet(meet(A,join(A,B)),join(meet(A,B),meet(A,join(A,B))))),meet(A,join(A,B))) )],[refute_0_343,refute_0_345]) ).
cnf(refute_0_347,plain,
join(meet(meet(meet(B,join(X_72,B)),B),meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B))),meet(meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B)),meet(B,join(X_72,B)))) = meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B)),
inference(subst,[],[refute_0_346:[bind(A,$fot(meet(B,join(X_72,B))))]]) ).
cnf(refute_0_348,plain,
meet(meet(join(meet(A,B),meet(A,join(A,B))),join(X_11,meet(A,B))),meet(A,B)) = meet(A,B),
inference(subst,[],[wal_absorbtion_4:[bind(A,$fot(meet(A,B))),bind(B,$fot(meet(A,join(A,B)))),bind(C,$fot(X_11))]]) ).
cnf(refute_0_349,plain,
( join(meet(A,B),meet(A,join(A,B))) != A
| meet(meet(join(meet(A,B),meet(A,join(A,B))),join(X_11,meet(A,B))),meet(A,B)) != meet(A,B)
| meet(meet(A,join(X_11,meet(A,B))),meet(A,B)) = meet(A,B) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(join(meet(A,B),meet(A,join(A,B))),join(X_11,meet(A,B))),meet(A,B)),meet(A,B)) ),[0,0,0],$fot(A)]]) ).
cnf(refute_0_350,plain,
( meet(meet(join(meet(A,B),meet(A,join(A,B))),join(X_11,meet(A,B))),meet(A,B)) != meet(A,B)
| meet(meet(A,join(X_11,meet(A,B))),meet(A,B)) = meet(A,B) ),
inference(resolve,[$cnf( $equal(join(meet(A,B),meet(A,join(A,B))),A) )],[wal_absorbtion_1,refute_0_349]) ).
cnf(refute_0_351,plain,
meet(meet(A,join(X_11,meet(A,B))),meet(A,B)) = meet(A,B),
inference(resolve,[$cnf( $equal(meet(meet(join(meet(A,B),meet(A,join(A,B))),join(X_11,meet(A,B))),meet(A,B)),meet(A,B)) )],[refute_0_348,refute_0_350]) ).
cnf(refute_0_352,plain,
meet(meet(X_41,join(X_42,meet(X_41,X_41))),meet(X_41,X_41)) = meet(X_41,X_41),
inference(subst,[],[refute_0_351:[bind(A,$fot(X_41)),bind(B,$fot(X_41)),bind(X_11,$fot(X_42))]]) ).
cnf(refute_0_353,plain,
meet(X_41,X_41) = X_41,
inference(subst,[],[refute_0_40:[bind(X_38,$fot(X_41))]]) ).
cnf(refute_0_354,plain,
( meet(X_41,X_41) != X_41
| meet(meet(X_41,join(X_42,meet(X_41,X_41))),meet(X_41,X_41)) != meet(X_41,X_41)
| meet(meet(X_41,join(X_42,meet(X_41,X_41))),X_41) = meet(X_41,X_41) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_41,join(X_42,meet(X_41,X_41))),meet(X_41,X_41)),meet(X_41,X_41)) ),[0,1],$fot(X_41)]]) ).
cnf(refute_0_355,plain,
( meet(meet(X_41,join(X_42,meet(X_41,X_41))),meet(X_41,X_41)) != meet(X_41,X_41)
| meet(meet(X_41,join(X_42,meet(X_41,X_41))),X_41) = meet(X_41,X_41) ),
inference(resolve,[$cnf( $equal(meet(X_41,X_41),X_41) )],[refute_0_353,refute_0_354]) ).
cnf(refute_0_356,plain,
meet(meet(X_41,join(X_42,meet(X_41,X_41))),X_41) = meet(X_41,X_41),
inference(resolve,[$cnf( $equal(meet(meet(X_41,join(X_42,meet(X_41,X_41))),meet(X_41,X_41)),meet(X_41,X_41)) )],[refute_0_352,refute_0_355]) ).
cnf(refute_0_357,plain,
join(X_42,meet(X_41,X_41)) = join(X_42,meet(X_41,X_41)),
introduced(tautology,[refl,[$fot(join(X_42,meet(X_41,X_41)))]]) ).
cnf(refute_0_358,plain,
( join(X_42,meet(X_41,X_41)) != join(X_42,meet(X_41,X_41))
| meet(X_41,X_41) != X_41
| join(X_42,meet(X_41,X_41)) = join(X_42,X_41) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_42,meet(X_41,X_41)),join(X_42,meet(X_41,X_41))) ),[1,1],$fot(X_41)]]) ).
cnf(refute_0_359,plain,
( meet(X_41,X_41) != X_41
| join(X_42,meet(X_41,X_41)) = join(X_42,X_41) ),
inference(resolve,[$cnf( $equal(join(X_42,meet(X_41,X_41)),join(X_42,meet(X_41,X_41))) )],[refute_0_357,refute_0_358]) ).
cnf(refute_0_360,plain,
join(X_42,meet(X_41,X_41)) = join(X_42,X_41),
inference(resolve,[$cnf( $equal(meet(X_41,X_41),X_41) )],[refute_0_353,refute_0_359]) ).
cnf(refute_0_361,plain,
meet(X_41,join(X_42,meet(X_41,X_41))) = meet(X_41,join(X_42,meet(X_41,X_41))),
introduced(tautology,[refl,[$fot(meet(X_41,join(X_42,meet(X_41,X_41))))]]) ).
cnf(refute_0_362,plain,
( join(X_42,meet(X_41,X_41)) != join(X_42,X_41)
| meet(X_41,join(X_42,meet(X_41,X_41))) != meet(X_41,join(X_42,meet(X_41,X_41)))
| meet(X_41,join(X_42,meet(X_41,X_41))) = meet(X_41,join(X_42,X_41)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_41,join(X_42,meet(X_41,X_41))),meet(X_41,join(X_42,meet(X_41,X_41)))) ),[1,1],$fot(join(X_42,X_41))]]) ).
cnf(refute_0_363,plain,
( join(X_42,meet(X_41,X_41)) != join(X_42,X_41)
| meet(X_41,join(X_42,meet(X_41,X_41))) = meet(X_41,join(X_42,X_41)) ),
inference(resolve,[$cnf( $equal(meet(X_41,join(X_42,meet(X_41,X_41))),meet(X_41,join(X_42,meet(X_41,X_41)))) )],[refute_0_361,refute_0_362]) ).
cnf(refute_0_364,plain,
meet(X_41,join(X_42,meet(X_41,X_41))) = meet(X_41,join(X_42,X_41)),
inference(resolve,[$cnf( $equal(join(X_42,meet(X_41,X_41)),join(X_42,X_41)) )],[refute_0_360,refute_0_363]) ).
cnf(refute_0_365,plain,
meet(meet(X_41,join(X_42,meet(X_41,X_41))),X_41) = meet(meet(X_41,join(X_42,meet(X_41,X_41))),X_41),
introduced(tautology,[refl,[$fot(meet(meet(X_41,join(X_42,meet(X_41,X_41))),X_41))]]) ).
cnf(refute_0_366,plain,
( meet(X_41,join(X_42,meet(X_41,X_41))) != meet(X_41,join(X_42,X_41))
| meet(meet(X_41,join(X_42,meet(X_41,X_41))),X_41) != meet(meet(X_41,join(X_42,meet(X_41,X_41))),X_41)
| meet(meet(X_41,join(X_42,meet(X_41,X_41))),X_41) = meet(meet(X_41,join(X_42,X_41)),X_41) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_41,join(X_42,meet(X_41,X_41))),X_41),meet(meet(X_41,join(X_42,meet(X_41,X_41))),X_41)) ),[1,0],$fot(meet(X_41,join(X_42,X_41)))]]) ).
cnf(refute_0_367,plain,
( meet(X_41,join(X_42,meet(X_41,X_41))) != meet(X_41,join(X_42,X_41))
| meet(meet(X_41,join(X_42,meet(X_41,X_41))),X_41) = meet(meet(X_41,join(X_42,X_41)),X_41) ),
inference(resolve,[$cnf( $equal(meet(meet(X_41,join(X_42,meet(X_41,X_41))),X_41),meet(meet(X_41,join(X_42,meet(X_41,X_41))),X_41)) )],[refute_0_365,refute_0_366]) ).
cnf(refute_0_368,plain,
meet(meet(X_41,join(X_42,meet(X_41,X_41))),X_41) = meet(meet(X_41,join(X_42,X_41)),X_41),
inference(resolve,[$cnf( $equal(meet(X_41,join(X_42,meet(X_41,X_41))),meet(X_41,join(X_42,X_41))) )],[refute_0_364,refute_0_367]) ).
cnf(refute_0_369,plain,
( meet(meet(X_41,join(X_42,meet(X_41,X_41))),X_41) != meet(X_41,X_41)
| meet(meet(X_41,join(X_42,meet(X_41,X_41))),X_41) != meet(meet(X_41,join(X_42,X_41)),X_41)
| meet(meet(X_41,join(X_42,X_41)),X_41) = meet(X_41,X_41) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_41,join(X_42,meet(X_41,X_41))),X_41),meet(X_41,X_41)) ),[0],$fot(meet(meet(X_41,join(X_42,X_41)),X_41))]]) ).
cnf(refute_0_370,plain,
( meet(meet(X_41,join(X_42,meet(X_41,X_41))),X_41) != meet(X_41,X_41)
| meet(meet(X_41,join(X_42,X_41)),X_41) = meet(X_41,X_41) ),
inference(resolve,[$cnf( $equal(meet(meet(X_41,join(X_42,meet(X_41,X_41))),X_41),meet(meet(X_41,join(X_42,X_41)),X_41)) )],[refute_0_368,refute_0_369]) ).
cnf(refute_0_371,plain,
( meet(X_41,X_41) != X_41
| meet(meet(X_41,join(X_42,X_41)),X_41) != meet(X_41,X_41)
| meet(meet(X_41,join(X_42,X_41)),X_41) = X_41 ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_41,join(X_42,X_41)),X_41),meet(X_41,X_41)) ),[1],$fot(X_41)]]) ).
cnf(refute_0_372,plain,
( meet(meet(X_41,join(X_42,X_41)),X_41) != meet(X_41,X_41)
| meet(meet(X_41,join(X_42,X_41)),X_41) = X_41 ),
inference(resolve,[$cnf( $equal(meet(X_41,X_41),X_41) )],[refute_0_353,refute_0_371]) ).
cnf(refute_0_373,plain,
( meet(meet(X_41,join(X_42,meet(X_41,X_41))),X_41) != meet(X_41,X_41)
| meet(meet(X_41,join(X_42,X_41)),X_41) = X_41 ),
inference(resolve,[$cnf( $equal(meet(meet(X_41,join(X_42,X_41)),X_41),meet(X_41,X_41)) )],[refute_0_370,refute_0_372]) ).
cnf(refute_0_374,plain,
meet(meet(X_41,join(X_42,X_41)),X_41) = X_41,
inference(resolve,[$cnf( $equal(meet(meet(X_41,join(X_42,meet(X_41,X_41))),X_41),meet(X_41,X_41)) )],[refute_0_356,refute_0_373]) ).
cnf(refute_0_375,plain,
meet(meet(B,join(X_72,B)),B) = B,
inference(subst,[],[refute_0_374:[bind(X_41,$fot(B)),bind(X_42,$fot(X_72))]]) ).
cnf(refute_0_376,plain,
( join(meet(meet(meet(B,join(X_72,B)),B),meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B))),meet(meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B)),meet(B,join(X_72,B)))) != meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B))
| meet(meet(B,join(X_72,B)),B) != B
| join(meet(B,meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B))),meet(meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B)),meet(B,join(X_72,B)))) = meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(meet(B,join(X_72,B)),B),meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B))),meet(meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B)),meet(B,join(X_72,B)))),meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B))) ),[0,0,0],$fot(B)]]) ).
cnf(refute_0_377,plain,
( join(meet(meet(meet(B,join(X_72,B)),B),meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B))),meet(meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B)),meet(B,join(X_72,B)))) != meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B))
| join(meet(B,meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B))),meet(meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B)),meet(B,join(X_72,B)))) = meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B)) ),
inference(resolve,[$cnf( $equal(meet(meet(B,join(X_72,B)),B),B) )],[refute_0_375,refute_0_376]) ).
cnf(refute_0_378,plain,
join(meet(B,meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B))),meet(meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B)),meet(B,join(X_72,B)))) = meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B)),
inference(resolve,[$cnf( $equal(join(meet(meet(meet(B,join(X_72,B)),B),meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B))),meet(meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B)),meet(B,join(X_72,B)))),meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B))) )],[refute_0_347,refute_0_377]) ).
cnf(refute_0_379,plain,
meet(meet(X_33,join(X_72,X_33)),join(meet(meet(X_33,join(X_72,X_33)),X_33),meet(X_33,join(X_72,X_33)))) = join(meet(meet(X_33,join(X_72,X_33)),X_33),meet(X_33,join(X_72,X_33))),
inference(subst,[],[refute_0_330:[bind(X_10,$fot(meet(X_33,join(X_72,X_33))))]]) ).
cnf(refute_0_380,plain,
meet(meet(X_33,join(X_72,X_33)),X_33) = X_33,
inference(subst,[],[refute_0_374:[bind(X_41,$fot(X_33)),bind(X_42,$fot(X_72))]]) ).
cnf(refute_0_381,plain,
( meet(meet(X_33,join(X_72,X_33)),X_33) != X_33
| meet(meet(X_33,join(X_72,X_33)),join(meet(meet(X_33,join(X_72,X_33)),X_33),meet(X_33,join(X_72,X_33)))) != join(meet(meet(X_33,join(X_72,X_33)),X_33),meet(X_33,join(X_72,X_33)))
| meet(meet(X_33,join(X_72,X_33)),join(X_33,meet(X_33,join(X_72,X_33)))) = join(meet(meet(X_33,join(X_72,X_33)),X_33),meet(X_33,join(X_72,X_33))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_33,join(X_72,X_33)),join(meet(meet(X_33,join(X_72,X_33)),X_33),meet(X_33,join(X_72,X_33)))),join(meet(meet(X_33,join(X_72,X_33)),X_33),meet(X_33,join(X_72,X_33)))) ),[0,1,0],$fot(X_33)]]) ).
cnf(refute_0_382,plain,
( meet(meet(X_33,join(X_72,X_33)),join(meet(meet(X_33,join(X_72,X_33)),X_33),meet(X_33,join(X_72,X_33)))) != join(meet(meet(X_33,join(X_72,X_33)),X_33),meet(X_33,join(X_72,X_33)))
| meet(meet(X_33,join(X_72,X_33)),join(X_33,meet(X_33,join(X_72,X_33)))) = join(meet(meet(X_33,join(X_72,X_33)),X_33),meet(X_33,join(X_72,X_33))) ),
inference(resolve,[$cnf( $equal(meet(meet(X_33,join(X_72,X_33)),X_33),X_33) )],[refute_0_380,refute_0_381]) ).
cnf(refute_0_383,plain,
meet(meet(X_33,join(X_72,X_33)),join(X_33,meet(X_33,join(X_72,X_33)))) = join(meet(meet(X_33,join(X_72,X_33)),X_33),meet(X_33,join(X_72,X_33))),
inference(resolve,[$cnf( $equal(meet(meet(X_33,join(X_72,X_33)),join(meet(meet(X_33,join(X_72,X_33)),X_33),meet(X_33,join(X_72,X_33)))),join(meet(meet(X_33,join(X_72,X_33)),X_33),meet(X_33,join(X_72,X_33)))) )],[refute_0_379,refute_0_382]) ).
cnf(refute_0_384,plain,
join(meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),meet(X_2,join(X_2,meet(X_2,join(join(X_2,X_48),X_2))))),meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),X_2)) = meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),
inference(subst,[],[refute_0_151:[bind(X_3,$fot(meet(X_2,join(join(X_2,X_48),X_2))))]]) ).
cnf(refute_0_385,plain,
join(meet(join(B,X_45),B),meet(B,join(join(B,X_45),B))) = B,
inference(subst,[],[wal_absorbtion_3:[bind(A,$fot(join(B,X_45)))]]) ).
cnf(refute_0_386,plain,
( join(meet(join(B,X_45),B),meet(B,join(join(B,X_45),B))) != B
| meet(join(B,X_45),B) != B
| join(B,meet(B,join(join(B,X_45),B))) = B ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(join(B,X_45),B),meet(B,join(join(B,X_45),B))),B) ),[0,0],$fot(B)]]) ).
cnf(refute_0_387,plain,
( join(meet(join(B,X_45),B),meet(B,join(join(B,X_45),B))) != B
| join(B,meet(B,join(join(B,X_45),B))) = B ),
inference(resolve,[$cnf( $equal(meet(join(B,X_45),B),B) )],[refute_0_215,refute_0_386]) ).
cnf(refute_0_388,plain,
join(B,meet(B,join(join(B,X_45),B))) = B,
inference(resolve,[$cnf( $equal(join(meet(join(B,X_45),B),meet(B,join(join(B,X_45),B))),B) )],[refute_0_385,refute_0_387]) ).
cnf(refute_0_389,plain,
join(X_2,meet(X_2,join(join(X_2,X_48),X_2))) = X_2,
inference(subst,[],[refute_0_388:[bind(B,$fot(X_2)),bind(X_45,$fot(X_48))]]) ).
cnf(refute_0_390,plain,
( join(X_2,meet(X_2,join(join(X_2,X_48),X_2))) != X_2
| join(meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),meet(X_2,join(X_2,meet(X_2,join(join(X_2,X_48),X_2))))),meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),X_2)) != meet(X_2,meet(X_2,join(join(X_2,X_48),X_2)))
| join(meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),meet(X_2,X_2)),meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),X_2)) = meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),meet(X_2,join(X_2,meet(X_2,join(join(X_2,X_48),X_2))))),meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),X_2)),meet(X_2,meet(X_2,join(join(X_2,X_48),X_2)))) ),[0,0,1,1],$fot(X_2)]]) ).
cnf(refute_0_391,plain,
( join(meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),meet(X_2,join(X_2,meet(X_2,join(join(X_2,X_48),X_2))))),meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),X_2)) != meet(X_2,meet(X_2,join(join(X_2,X_48),X_2)))
| join(meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),meet(X_2,X_2)),meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),X_2)) = meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))) ),
inference(resolve,[$cnf( $equal(join(X_2,meet(X_2,join(join(X_2,X_48),X_2))),X_2) )],[refute_0_389,refute_0_390]) ).
cnf(refute_0_392,plain,
join(meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),meet(X_2,X_2)),meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),X_2)) = meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),
inference(resolve,[$cnf( $equal(join(meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),meet(X_2,join(X_2,meet(X_2,join(join(X_2,X_48),X_2))))),meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),X_2)),meet(X_2,meet(X_2,join(join(X_2,X_48),X_2)))) )],[refute_0_384,refute_0_391]) ).
cnf(refute_0_393,plain,
join(X_2,X_2) = X_2,
inference(subst,[],[refute_0_133:[bind(X_12,$fot(X_2))]]) ).
cnf(refute_0_394,plain,
meet(meet(X_2,join(join(X_2,X_48),X_2)),X_2) = X_2,
inference(subst,[],[refute_0_374:[bind(X_41,$fot(X_2)),bind(X_42,$fot(join(X_2,X_48)))]]) ).
cnf(refute_0_395,plain,
meet(meet(A,meet(A,B)),meet(A,B)) = meet(A,meet(A,B)),
inference(subst,[],[refute_0_326:[bind(A,$fot(meet(A,B))),bind(B,$fot(A))]]) ).
cnf(refute_0_396,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_397,plain,
( meet(meet(A,meet(A,B)),meet(A,B)) != meet(A,B)
| meet(A,meet(A,B)) = meet(A,B) ),
inference(resolve,[$cnf( $equal(meet(meet(A,meet(A,B)),meet(A,B)),meet(A,meet(A,B))) )],[refute_0_395,refute_0_396]) ).
cnf(refute_0_398,plain,
meet(A,meet(A,B)) = meet(A,B),
inference(resolve,[$cnf( $equal(meet(meet(A,meet(A,B)),meet(A,B)),meet(A,B)) )],[refute_0_13,refute_0_397]) ).
cnf(refute_0_399,plain,
meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))) = meet(X_2,join(join(X_2,X_48),X_2)),
inference(subst,[],[refute_0_398:[bind(A,$fot(X_2)),bind(B,$fot(join(join(X_2,X_48),X_2)))]]) ).
cnf(refute_0_400,plain,
meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),X_2) = meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),X_2),
introduced(tautology,[refl,[$fot(meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),X_2))]]) ).
cnf(refute_0_401,plain,
( meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))) != meet(X_2,join(join(X_2,X_48),X_2))
| meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),X_2) != meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),X_2)
| meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),X_2) = meet(meet(X_2,join(join(X_2,X_48),X_2)),X_2) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),X_2),meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),X_2)) ),[1,0],$fot(meet(X_2,join(join(X_2,X_48),X_2)))]]) ).
cnf(refute_0_402,plain,
( meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))) != meet(X_2,join(join(X_2,X_48),X_2))
| meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),X_2) = meet(meet(X_2,join(join(X_2,X_48),X_2)),X_2) ),
inference(resolve,[$cnf( $equal(meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),X_2),meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),X_2)) )],[refute_0_400,refute_0_401]) ).
cnf(refute_0_403,plain,
meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),X_2) = meet(meet(X_2,join(join(X_2,X_48),X_2)),X_2),
inference(resolve,[$cnf( $equal(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),meet(X_2,join(join(X_2,X_48),X_2))) )],[refute_0_399,refute_0_402]) ).
cnf(refute_0_404,plain,
( meet(meet(X_2,join(join(X_2,X_48),X_2)),X_2) != X_2
| meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),X_2) != meet(meet(X_2,join(join(X_2,X_48),X_2)),X_2)
| meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),X_2) = X_2 ),
inference(subst,[],[refute_0_27:[bind(X,$fot(meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),X_2))),bind(Y,$fot(meet(meet(X_2,join(join(X_2,X_48),X_2)),X_2))),bind(Z,$fot(X_2))]]) ).
cnf(refute_0_405,plain,
( meet(meet(X_2,join(join(X_2,X_48),X_2)),X_2) != X_2
| meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),X_2) = X_2 ),
inference(resolve,[$cnf( $equal(meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),X_2),meet(meet(X_2,join(join(X_2,X_48),X_2)),X_2)) )],[refute_0_403,refute_0_404]) ).
cnf(refute_0_406,plain,
meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),X_2) = X_2,
inference(resolve,[$cnf( $equal(meet(meet(X_2,join(join(X_2,X_48),X_2)),X_2),X_2) )],[refute_0_394,refute_0_405]) ).
cnf(refute_0_407,plain,
join(X_2,meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),X_2)) = join(X_2,meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),X_2)),
introduced(tautology,[refl,[$fot(join(X_2,meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),X_2)))]]) ).
cnf(refute_0_408,plain,
( join(X_2,meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),X_2)) != join(X_2,meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),X_2))
| meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),X_2) != X_2
| join(X_2,meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),X_2)) = join(X_2,X_2) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_2,meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),X_2)),join(X_2,meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),X_2))) ),[1,1],$fot(X_2)]]) ).
cnf(refute_0_409,plain,
( meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),X_2) != X_2
| join(X_2,meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),X_2)) = join(X_2,X_2) ),
inference(resolve,[$cnf( $equal(join(X_2,meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),X_2)),join(X_2,meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),X_2))) )],[refute_0_407,refute_0_408]) ).
cnf(refute_0_410,plain,
join(X_2,meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),X_2)) = join(X_2,X_2),
inference(resolve,[$cnf( $equal(meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),X_2),X_2) )],[refute_0_406,refute_0_409]) ).
cnf(refute_0_411,plain,
meet(X_2,X_2) = X_2,
inference(subst,[],[refute_0_40:[bind(X_38,$fot(X_2))]]) ).
cnf(refute_0_412,plain,
meet(meet(X_2,join(join(X_2,X_48),X_2)),meet(X_2,X_2)) = meet(meet(X_2,join(join(X_2,X_48),X_2)),meet(X_2,X_2)),
introduced(tautology,[refl,[$fot(meet(meet(X_2,join(join(X_2,X_48),X_2)),meet(X_2,X_2)))]]) ).
cnf(refute_0_413,plain,
( meet(X_2,X_2) != X_2
| meet(meet(X_2,join(join(X_2,X_48),X_2)),meet(X_2,X_2)) != meet(meet(X_2,join(join(X_2,X_48),X_2)),meet(X_2,X_2))
| meet(meet(X_2,join(join(X_2,X_48),X_2)),meet(X_2,X_2)) = meet(meet(X_2,join(join(X_2,X_48),X_2)),X_2) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_2,join(join(X_2,X_48),X_2)),meet(X_2,X_2)),meet(meet(X_2,join(join(X_2,X_48),X_2)),meet(X_2,X_2))) ),[1,1],$fot(X_2)]]) ).
cnf(refute_0_414,plain,
( meet(X_2,X_2) != X_2
| meet(meet(X_2,join(join(X_2,X_48),X_2)),meet(X_2,X_2)) = meet(meet(X_2,join(join(X_2,X_48),X_2)),X_2) ),
inference(resolve,[$cnf( $equal(meet(meet(X_2,join(join(X_2,X_48),X_2)),meet(X_2,X_2)),meet(meet(X_2,join(join(X_2,X_48),X_2)),meet(X_2,X_2))) )],[refute_0_412,refute_0_413]) ).
cnf(refute_0_415,plain,
meet(meet(X_2,join(join(X_2,X_48),X_2)),meet(X_2,X_2)) = meet(meet(X_2,join(join(X_2,X_48),X_2)),X_2),
inference(resolve,[$cnf( $equal(meet(X_2,X_2),X_2) )],[refute_0_411,refute_0_414]) ).
cnf(refute_0_416,plain,
meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),meet(X_2,X_2)) = meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),meet(X_2,X_2)),
introduced(tautology,[refl,[$fot(meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),meet(X_2,X_2)))]]) ).
cnf(refute_0_417,plain,
( meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))) != meet(X_2,join(join(X_2,X_48),X_2))
| meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),meet(X_2,X_2)) != meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),meet(X_2,X_2))
| meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),meet(X_2,X_2)) = meet(meet(X_2,join(join(X_2,X_48),X_2)),meet(X_2,X_2)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),meet(X_2,X_2)),meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),meet(X_2,X_2))) ),[1,0],$fot(meet(X_2,join(join(X_2,X_48),X_2)))]]) ).
cnf(refute_0_418,plain,
( meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))) != meet(X_2,join(join(X_2,X_48),X_2))
| meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),meet(X_2,X_2)) = meet(meet(X_2,join(join(X_2,X_48),X_2)),meet(X_2,X_2)) ),
inference(resolve,[$cnf( $equal(meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),meet(X_2,X_2)),meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),meet(X_2,X_2))) )],[refute_0_416,refute_0_417]) ).
cnf(refute_0_419,plain,
meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),meet(X_2,X_2)) = meet(meet(X_2,join(join(X_2,X_48),X_2)),meet(X_2,X_2)),
inference(resolve,[$cnf( $equal(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),meet(X_2,join(join(X_2,X_48),X_2))) )],[refute_0_399,refute_0_418]) ).
cnf(refute_0_420,plain,
( meet(meet(X_2,join(join(X_2,X_48),X_2)),meet(X_2,X_2)) != meet(meet(X_2,join(join(X_2,X_48),X_2)),X_2)
| meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),meet(X_2,X_2)) != meet(meet(X_2,join(join(X_2,X_48),X_2)),meet(X_2,X_2))
| meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),meet(X_2,X_2)) = meet(meet(X_2,join(join(X_2,X_48),X_2)),X_2) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),meet(X_2,X_2)))),bind(Y,$fot(meet(meet(X_2,join(join(X_2,X_48),X_2)),meet(X_2,X_2)))),bind(Z,$fot(meet(meet(X_2,join(join(X_2,X_48),X_2)),X_2)))]]) ).
cnf(refute_0_421,plain,
( meet(meet(X_2,join(join(X_2,X_48),X_2)),meet(X_2,X_2)) != meet(meet(X_2,join(join(X_2,X_48),X_2)),X_2)
| meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),meet(X_2,X_2)) = meet(meet(X_2,join(join(X_2,X_48),X_2)),X_2) ),
inference(resolve,[$cnf( $equal(meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),meet(X_2,X_2)),meet(meet(X_2,join(join(X_2,X_48),X_2)),meet(X_2,X_2))) )],[refute_0_419,refute_0_420]) ).
cnf(refute_0_422,plain,
meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),meet(X_2,X_2)) = meet(meet(X_2,join(join(X_2,X_48),X_2)),X_2),
inference(resolve,[$cnf( $equal(meet(meet(X_2,join(join(X_2,X_48),X_2)),meet(X_2,X_2)),meet(meet(X_2,join(join(X_2,X_48),X_2)),X_2)) )],[refute_0_415,refute_0_421]) ).
cnf(refute_0_423,plain,
( meet(meet(X_2,join(join(X_2,X_48),X_2)),X_2) != X_2
| meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),meet(X_2,X_2)) != meet(meet(X_2,join(join(X_2,X_48),X_2)),X_2)
| meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),meet(X_2,X_2)) = X_2 ),
inference(subst,[],[refute_0_27:[bind(X,$fot(meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),meet(X_2,X_2)))),bind(Y,$fot(meet(meet(X_2,join(join(X_2,X_48),X_2)),X_2))),bind(Z,$fot(X_2))]]) ).
cnf(refute_0_424,plain,
( meet(meet(X_2,join(join(X_2,X_48),X_2)),X_2) != X_2
| meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),meet(X_2,X_2)) = X_2 ),
inference(resolve,[$cnf( $equal(meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),meet(X_2,X_2)),meet(meet(X_2,join(join(X_2,X_48),X_2)),X_2)) )],[refute_0_422,refute_0_423]) ).
cnf(refute_0_425,plain,
meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),meet(X_2,X_2)) = X_2,
inference(resolve,[$cnf( $equal(meet(meet(X_2,join(join(X_2,X_48),X_2)),X_2),X_2) )],[refute_0_394,refute_0_424]) ).
cnf(refute_0_426,plain,
join(meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),meet(X_2,X_2)),meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),X_2)) = join(meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),meet(X_2,X_2)),meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),X_2)),
introduced(tautology,[refl,[$fot(join(meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),meet(X_2,X_2)),meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),X_2)))]]) ).
cnf(refute_0_427,plain,
( join(meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),meet(X_2,X_2)),meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),X_2)) != join(meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),meet(X_2,X_2)),meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),X_2))
| meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),meet(X_2,X_2)) != X_2
| join(meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),meet(X_2,X_2)),meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),X_2)) = join(X_2,meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),X_2)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),meet(X_2,X_2)),meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),X_2)),join(meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),meet(X_2,X_2)),meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),X_2))) ),[1,0],$fot(X_2)]]) ).
cnf(refute_0_428,plain,
( meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),meet(X_2,X_2)) != X_2
| join(meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),meet(X_2,X_2)),meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),X_2)) = join(X_2,meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),X_2)) ),
inference(resolve,[$cnf( $equal(join(meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),meet(X_2,X_2)),meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),X_2)),join(meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),meet(X_2,X_2)),meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),X_2))) )],[refute_0_426,refute_0_427]) ).
cnf(refute_0_429,plain,
join(meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),meet(X_2,X_2)),meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),X_2)) = join(X_2,meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),X_2)),
inference(resolve,[$cnf( $equal(meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),meet(X_2,X_2)),X_2) )],[refute_0_425,refute_0_428]) ).
cnf(refute_0_430,plain,
( join(X_2,meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),X_2)) != join(X_2,X_2)
| join(meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),meet(X_2,X_2)),meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),X_2)) != join(X_2,meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),X_2))
| join(meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),meet(X_2,X_2)),meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),X_2)) = join(X_2,X_2) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),meet(X_2,X_2)),meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),X_2)))),bind(Y,$fot(join(X_2,meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),X_2)))),bind(Z,$fot(join(X_2,X_2)))]]) ).
cnf(refute_0_431,plain,
( join(X_2,meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),X_2)) != join(X_2,X_2)
| join(meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),meet(X_2,X_2)),meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),X_2)) = join(X_2,X_2) ),
inference(resolve,[$cnf( $equal(join(meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),meet(X_2,X_2)),meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),X_2)),join(X_2,meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),X_2))) )],[refute_0_429,refute_0_430]) ).
cnf(refute_0_432,plain,
join(meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),meet(X_2,X_2)),meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),X_2)) = join(X_2,X_2),
inference(resolve,[$cnf( $equal(join(X_2,meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),X_2)),join(X_2,X_2)) )],[refute_0_410,refute_0_431]) ).
cnf(refute_0_433,plain,
( join(X_2,X_2) != X_2
| join(meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),meet(X_2,X_2)),meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),X_2)) != join(X_2,X_2)
| join(meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),meet(X_2,X_2)),meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),X_2)) = X_2 ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),meet(X_2,X_2)),meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),X_2)))),bind(Y,$fot(join(X_2,X_2))),bind(Z,$fot(X_2))]]) ).
cnf(refute_0_434,plain,
( join(X_2,X_2) != X_2
| join(meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),meet(X_2,X_2)),meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),X_2)) = X_2 ),
inference(resolve,[$cnf( $equal(join(meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),meet(X_2,X_2)),meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),X_2)),join(X_2,X_2)) )],[refute_0_432,refute_0_433]) ).
cnf(refute_0_435,plain,
join(meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),meet(X_2,X_2)),meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),X_2)) = X_2,
inference(resolve,[$cnf( $equal(join(X_2,X_2),X_2) )],[refute_0_393,refute_0_434]) ).
cnf(refute_0_436,plain,
( join(meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),meet(X_2,X_2)),meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),X_2)) != X_2
| join(meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),meet(X_2,X_2)),meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),X_2)) != meet(X_2,meet(X_2,join(join(X_2,X_48),X_2)))
| X_2 = meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),meet(X_2,X_2)),meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),X_2)),meet(X_2,meet(X_2,join(join(X_2,X_48),X_2)))) ),[0],$fot(X_2)]]) ).
cnf(refute_0_437,plain,
( join(meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),meet(X_2,X_2)),meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),X_2)) != meet(X_2,meet(X_2,join(join(X_2,X_48),X_2)))
| X_2 = meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))) ),
inference(resolve,[$cnf( $equal(join(meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),meet(X_2,X_2)),meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),X_2)),X_2) )],[refute_0_435,refute_0_436]) ).
cnf(refute_0_438,plain,
( X_2 != meet(X_2,meet(X_2,join(join(X_2,X_48),X_2)))
| meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))) != meet(X_2,join(join(X_2,X_48),X_2))
| X_2 = meet(X_2,join(join(X_2,X_48),X_2)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_2,meet(X_2,join(join(X_2,X_48),X_2))) ),[0],$fot(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))))]]) ).
cnf(refute_0_439,plain,
( X_2 != meet(X_2,meet(X_2,join(join(X_2,X_48),X_2)))
| X_2 = meet(X_2,join(join(X_2,X_48),X_2)) ),
inference(resolve,[$cnf( $equal(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),meet(X_2,join(join(X_2,X_48),X_2))) )],[refute_0_399,refute_0_438]) ).
cnf(refute_0_440,plain,
( join(meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),meet(X_2,X_2)),meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),X_2)) != meet(X_2,meet(X_2,join(join(X_2,X_48),X_2)))
| X_2 = meet(X_2,join(join(X_2,X_48),X_2)) ),
inference(resolve,[$cnf( $equal(X_2,meet(X_2,meet(X_2,join(join(X_2,X_48),X_2)))) )],[refute_0_437,refute_0_439]) ).
cnf(refute_0_441,plain,
X_2 = meet(X_2,join(join(X_2,X_48),X_2)),
inference(resolve,[$cnf( $equal(join(meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),meet(X_2,X_2)),meet(meet(X_2,meet(X_2,join(join(X_2,X_48),X_2))),X_2)),meet(X_2,meet(X_2,join(join(X_2,X_48),X_2)))) )],[refute_0_392,refute_0_440]) ).
cnf(refute_0_442,plain,
meet(A,B) = meet(meet(A,B),join(join(meet(A,B),meet(A,join(A,B))),meet(A,B))),
inference(subst,[],[refute_0_441:[bind(X_2,$fot(meet(A,B))),bind(X_48,$fot(meet(A,join(A,B))))]]) ).
cnf(refute_0_443,plain,
( join(meet(A,B),meet(A,join(A,B))) != A
| meet(A,B) != meet(meet(A,B),join(join(meet(A,B),meet(A,join(A,B))),meet(A,B)))
| meet(A,B) = meet(meet(A,B),join(A,meet(A,B))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(A,B),meet(meet(A,B),join(join(meet(A,B),meet(A,join(A,B))),meet(A,B)))) ),[1,1,0],$fot(A)]]) ).
cnf(refute_0_444,plain,
( meet(A,B) != meet(meet(A,B),join(join(meet(A,B),meet(A,join(A,B))),meet(A,B)))
| meet(A,B) = meet(meet(A,B),join(A,meet(A,B))) ),
inference(resolve,[$cnf( $equal(join(meet(A,B),meet(A,join(A,B))),A) )],[wal_absorbtion_1,refute_0_443]) ).
cnf(refute_0_445,plain,
meet(A,B) = meet(meet(A,B),join(A,meet(A,B))),
inference(resolve,[$cnf( $equal(meet(A,B),meet(meet(A,B),join(join(meet(A,B),meet(A,join(A,B))),meet(A,B)))) )],[refute_0_442,refute_0_444]) ).
cnf(refute_0_446,plain,
( meet(A,B) != meet(meet(A,B),join(A,meet(A,B)))
| meet(meet(A,B),join(A,meet(A,B))) = meet(A,B) ),
inference(subst,[],[refute_0_25:[bind(X,$fot(meet(A,B))),bind(Y,$fot(meet(meet(A,B),join(A,meet(A,B)))))]]) ).
cnf(refute_0_447,plain,
meet(meet(A,B),join(A,meet(A,B))) = meet(A,B),
inference(resolve,[$cnf( $equal(meet(A,B),meet(meet(A,B),join(A,meet(A,B)))) )],[refute_0_445,refute_0_446]) ).
cnf(refute_0_448,plain,
meet(meet(X_33,join(X_72,X_33)),join(X_33,meet(X_33,join(X_72,X_33)))) = meet(X_33,join(X_72,X_33)),
inference(subst,[],[refute_0_447:[bind(A,$fot(X_33)),bind(B,$fot(join(X_72,X_33)))]]) ).
cnf(refute_0_449,plain,
( meet(meet(X_33,join(X_72,X_33)),join(X_33,meet(X_33,join(X_72,X_33)))) != join(meet(meet(X_33,join(X_72,X_33)),X_33),meet(X_33,join(X_72,X_33)))
| meet(meet(X_33,join(X_72,X_33)),join(X_33,meet(X_33,join(X_72,X_33)))) != meet(X_33,join(X_72,X_33))
| meet(X_33,join(X_72,X_33)) = join(meet(meet(X_33,join(X_72,X_33)),X_33),meet(X_33,join(X_72,X_33))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_33,join(X_72,X_33)),join(X_33,meet(X_33,join(X_72,X_33)))),join(meet(meet(X_33,join(X_72,X_33)),X_33),meet(X_33,join(X_72,X_33)))) ),[0],$fot(meet(X_33,join(X_72,X_33)))]]) ).
cnf(refute_0_450,plain,
( meet(meet(X_33,join(X_72,X_33)),join(X_33,meet(X_33,join(X_72,X_33)))) != join(meet(meet(X_33,join(X_72,X_33)),X_33),meet(X_33,join(X_72,X_33)))
| meet(X_33,join(X_72,X_33)) = join(meet(meet(X_33,join(X_72,X_33)),X_33),meet(X_33,join(X_72,X_33))) ),
inference(resolve,[$cnf( $equal(meet(meet(X_33,join(X_72,X_33)),join(X_33,meet(X_33,join(X_72,X_33)))),meet(X_33,join(X_72,X_33))) )],[refute_0_448,refute_0_449]) ).
cnf(refute_0_451,plain,
join(meet(meet(X_33,join(X_72,X_33)),X_33),meet(X_33,join(X_72,X_33))) = join(meet(meet(X_33,join(X_72,X_33)),X_33),meet(X_33,join(X_72,X_33))),
introduced(tautology,[refl,[$fot(join(meet(meet(X_33,join(X_72,X_33)),X_33),meet(X_33,join(X_72,X_33))))]]) ).
cnf(refute_0_452,plain,
( join(meet(meet(X_33,join(X_72,X_33)),X_33),meet(X_33,join(X_72,X_33))) != join(meet(meet(X_33,join(X_72,X_33)),X_33),meet(X_33,join(X_72,X_33)))
| meet(meet(X_33,join(X_72,X_33)),X_33) != X_33
| join(meet(meet(X_33,join(X_72,X_33)),X_33),meet(X_33,join(X_72,X_33))) = join(X_33,meet(X_33,join(X_72,X_33))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(X_33,join(X_72,X_33)),X_33),meet(X_33,join(X_72,X_33))),join(meet(meet(X_33,join(X_72,X_33)),X_33),meet(X_33,join(X_72,X_33)))) ),[1,0],$fot(X_33)]]) ).
cnf(refute_0_453,plain,
( meet(meet(X_33,join(X_72,X_33)),X_33) != X_33
| join(meet(meet(X_33,join(X_72,X_33)),X_33),meet(X_33,join(X_72,X_33))) = join(X_33,meet(X_33,join(X_72,X_33))) ),
inference(resolve,[$cnf( $equal(join(meet(meet(X_33,join(X_72,X_33)),X_33),meet(X_33,join(X_72,X_33))),join(meet(meet(X_33,join(X_72,X_33)),X_33),meet(X_33,join(X_72,X_33)))) )],[refute_0_451,refute_0_452]) ).
cnf(refute_0_454,plain,
join(meet(meet(X_33,join(X_72,X_33)),X_33),meet(X_33,join(X_72,X_33))) = join(X_33,meet(X_33,join(X_72,X_33))),
inference(resolve,[$cnf( $equal(meet(meet(X_33,join(X_72,X_33)),X_33),X_33) )],[refute_0_380,refute_0_453]) ).
cnf(refute_0_455,plain,
( join(meet(meet(X_33,join(X_72,X_33)),X_33),meet(X_33,join(X_72,X_33))) != join(X_33,meet(X_33,join(X_72,X_33)))
| meet(X_33,join(X_72,X_33)) != join(meet(meet(X_33,join(X_72,X_33)),X_33),meet(X_33,join(X_72,X_33)))
| meet(X_33,join(X_72,X_33)) = join(X_33,meet(X_33,join(X_72,X_33))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_33,join(X_72,X_33)),join(meet(meet(X_33,join(X_72,X_33)),X_33),meet(X_33,join(X_72,X_33)))) ),[1],$fot(join(X_33,meet(X_33,join(X_72,X_33))))]]) ).
cnf(refute_0_456,plain,
( meet(X_33,join(X_72,X_33)) != join(meet(meet(X_33,join(X_72,X_33)),X_33),meet(X_33,join(X_72,X_33)))
| meet(X_33,join(X_72,X_33)) = join(X_33,meet(X_33,join(X_72,X_33))) ),
inference(resolve,[$cnf( $equal(join(meet(meet(X_33,join(X_72,X_33)),X_33),meet(X_33,join(X_72,X_33))),join(X_33,meet(X_33,join(X_72,X_33)))) )],[refute_0_454,refute_0_455]) ).
cnf(refute_0_457,plain,
( meet(meet(X_33,join(X_72,X_33)),join(X_33,meet(X_33,join(X_72,X_33)))) != join(meet(meet(X_33,join(X_72,X_33)),X_33),meet(X_33,join(X_72,X_33)))
| meet(X_33,join(X_72,X_33)) = join(X_33,meet(X_33,join(X_72,X_33))) ),
inference(resolve,[$cnf( $equal(meet(X_33,join(X_72,X_33)),join(meet(meet(X_33,join(X_72,X_33)),X_33),meet(X_33,join(X_72,X_33)))) )],[refute_0_450,refute_0_456]) ).
cnf(refute_0_458,plain,
meet(X_33,join(X_72,X_33)) = join(X_33,meet(X_33,join(X_72,X_33))),
inference(resolve,[$cnf( $equal(meet(meet(X_33,join(X_72,X_33)),join(X_33,meet(X_33,join(X_72,X_33)))),join(meet(meet(X_33,join(X_72,X_33)),X_33),meet(X_33,join(X_72,X_33)))) )],[refute_0_383,refute_0_457]) ).
cnf(refute_0_459,plain,
( meet(X_33,join(X_72,X_33)) != join(X_33,meet(X_33,join(X_72,X_33)))
| join(X_33,meet(X_33,join(X_72,X_33))) = meet(X_33,join(X_72,X_33)) ),
inference(subst,[],[refute_0_25:[bind(X,$fot(meet(X_33,join(X_72,X_33)))),bind(Y,$fot(join(X_33,meet(X_33,join(X_72,X_33)))))]]) ).
cnf(refute_0_460,plain,
join(X_33,meet(X_33,join(X_72,X_33))) = meet(X_33,join(X_72,X_33)),
inference(resolve,[$cnf( $equal(meet(X_33,join(X_72,X_33)),join(X_33,meet(X_33,join(X_72,X_33)))) )],[refute_0_458,refute_0_459]) ).
cnf(refute_0_461,plain,
join(B,meet(B,join(X_72,B))) = meet(B,join(X_72,B)),
inference(subst,[],[refute_0_460:[bind(X_33,$fot(B))]]) ).
cnf(refute_0_462,plain,
meet(B,meet(B,join(X_72,B))) = meet(B,join(X_72,B)),
inference(subst,[],[refute_0_398:[bind(A,$fot(B)),bind(B,$fot(join(X_72,B)))]]) ).
cnf(refute_0_463,plain,
join(meet(meet(X_4,X_5),meet(X_5,join(X_4,X_5))),meet(meet(X_5,join(X_4,X_5)),join(meet(X_4,X_5),meet(X_5,join(X_4,X_5))))) = meet(X_5,join(X_4,X_5)),
inference(subst,[],[wal_absorbtion_3:[bind(A,$fot(meet(X_4,X_5))),bind(B,$fot(meet(X_5,join(X_4,X_5))))]]) ).
cnf(refute_0_464,plain,
join(meet(X_4,X_5),meet(X_5,join(X_4,X_5))) = X_5,
inference(subst,[],[wal_absorbtion_3:[bind(A,$fot(X_4)),bind(B,$fot(X_5))]]) ).
cnf(refute_0_465,plain,
( join(meet(X_4,X_5),meet(X_5,join(X_4,X_5))) != X_5
| join(meet(meet(X_4,X_5),meet(X_5,join(X_4,X_5))),meet(meet(X_5,join(X_4,X_5)),join(meet(X_4,X_5),meet(X_5,join(X_4,X_5))))) != meet(X_5,join(X_4,X_5))
| join(meet(meet(X_4,X_5),meet(X_5,join(X_4,X_5))),meet(meet(X_5,join(X_4,X_5)),X_5)) = meet(X_5,join(X_4,X_5)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(X_4,X_5),meet(X_5,join(X_4,X_5))),meet(meet(X_5,join(X_4,X_5)),join(meet(X_4,X_5),meet(X_5,join(X_4,X_5))))),meet(X_5,join(X_4,X_5))) ),[0,1,1],$fot(X_5)]]) ).
cnf(refute_0_466,plain,
( join(meet(meet(X_4,X_5),meet(X_5,join(X_4,X_5))),meet(meet(X_5,join(X_4,X_5)),join(meet(X_4,X_5),meet(X_5,join(X_4,X_5))))) != meet(X_5,join(X_4,X_5))
| join(meet(meet(X_4,X_5),meet(X_5,join(X_4,X_5))),meet(meet(X_5,join(X_4,X_5)),X_5)) = meet(X_5,join(X_4,X_5)) ),
inference(resolve,[$cnf( $equal(join(meet(X_4,X_5),meet(X_5,join(X_4,X_5))),X_5) )],[refute_0_464,refute_0_465]) ).
cnf(refute_0_467,plain,
join(meet(meet(X_4,X_5),meet(X_5,join(X_4,X_5))),meet(meet(X_5,join(X_4,X_5)),X_5)) = meet(X_5,join(X_4,X_5)),
inference(resolve,[$cnf( $equal(join(meet(meet(X_4,X_5),meet(X_5,join(X_4,X_5))),meet(meet(X_5,join(X_4,X_5)),join(meet(X_4,X_5),meet(X_5,join(X_4,X_5))))),meet(X_5,join(X_4,X_5))) )],[refute_0_463,refute_0_466]) ).
cnf(refute_0_468,plain,
meet(meet(X_5,join(X_4,X_5)),X_5) = X_5,
inference(subst,[],[refute_0_374:[bind(X_41,$fot(X_5)),bind(X_42,$fot(X_4))]]) ).
cnf(refute_0_469,plain,
join(meet(meet(X_4,X_5),meet(X_5,join(X_4,X_5))),meet(meet(X_5,join(X_4,X_5)),X_5)) = join(meet(meet(X_4,X_5),meet(X_5,join(X_4,X_5))),meet(meet(X_5,join(X_4,X_5)),X_5)),
introduced(tautology,[refl,[$fot(join(meet(meet(X_4,X_5),meet(X_5,join(X_4,X_5))),meet(meet(X_5,join(X_4,X_5)),X_5)))]]) ).
cnf(refute_0_470,plain,
( join(meet(meet(X_4,X_5),meet(X_5,join(X_4,X_5))),meet(meet(X_5,join(X_4,X_5)),X_5)) != join(meet(meet(X_4,X_5),meet(X_5,join(X_4,X_5))),meet(meet(X_5,join(X_4,X_5)),X_5))
| meet(meet(X_5,join(X_4,X_5)),X_5) != X_5
| join(meet(meet(X_4,X_5),meet(X_5,join(X_4,X_5))),meet(meet(X_5,join(X_4,X_5)),X_5)) = join(meet(meet(X_4,X_5),meet(X_5,join(X_4,X_5))),X_5) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(X_4,X_5),meet(X_5,join(X_4,X_5))),meet(meet(X_5,join(X_4,X_5)),X_5)),join(meet(meet(X_4,X_5),meet(X_5,join(X_4,X_5))),meet(meet(X_5,join(X_4,X_5)),X_5))) ),[1,1],$fot(X_5)]]) ).
cnf(refute_0_471,plain,
( meet(meet(X_5,join(X_4,X_5)),X_5) != X_5
| join(meet(meet(X_4,X_5),meet(X_5,join(X_4,X_5))),meet(meet(X_5,join(X_4,X_5)),X_5)) = join(meet(meet(X_4,X_5),meet(X_5,join(X_4,X_5))),X_5) ),
inference(resolve,[$cnf( $equal(join(meet(meet(X_4,X_5),meet(X_5,join(X_4,X_5))),meet(meet(X_5,join(X_4,X_5)),X_5)),join(meet(meet(X_4,X_5),meet(X_5,join(X_4,X_5))),meet(meet(X_5,join(X_4,X_5)),X_5))) )],[refute_0_469,refute_0_470]) ).
cnf(refute_0_472,plain,
join(meet(meet(X_4,X_5),meet(X_5,join(X_4,X_5))),meet(meet(X_5,join(X_4,X_5)),X_5)) = join(meet(meet(X_4,X_5),meet(X_5,join(X_4,X_5))),X_5),
inference(resolve,[$cnf( $equal(meet(meet(X_5,join(X_4,X_5)),X_5),X_5) )],[refute_0_468,refute_0_471]) ).
cnf(refute_0_473,plain,
( join(meet(meet(X_4,X_5),meet(X_5,join(X_4,X_5))),meet(meet(X_5,join(X_4,X_5)),X_5)) != join(meet(meet(X_4,X_5),meet(X_5,join(X_4,X_5))),X_5)
| join(meet(meet(X_4,X_5),meet(X_5,join(X_4,X_5))),meet(meet(X_5,join(X_4,X_5)),X_5)) != meet(X_5,join(X_4,X_5))
| join(meet(meet(X_4,X_5),meet(X_5,join(X_4,X_5))),X_5) = meet(X_5,join(X_4,X_5)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(X_4,X_5),meet(X_5,join(X_4,X_5))),meet(meet(X_5,join(X_4,X_5)),X_5)),meet(X_5,join(X_4,X_5))) ),[0],$fot(join(meet(meet(X_4,X_5),meet(X_5,join(X_4,X_5))),X_5))]]) ).
cnf(refute_0_474,plain,
( join(meet(meet(X_4,X_5),meet(X_5,join(X_4,X_5))),meet(meet(X_5,join(X_4,X_5)),X_5)) != meet(X_5,join(X_4,X_5))
| join(meet(meet(X_4,X_5),meet(X_5,join(X_4,X_5))),X_5) = meet(X_5,join(X_4,X_5)) ),
inference(resolve,[$cnf( $equal(join(meet(meet(X_4,X_5),meet(X_5,join(X_4,X_5))),meet(meet(X_5,join(X_4,X_5)),X_5)),join(meet(meet(X_4,X_5),meet(X_5,join(X_4,X_5))),X_5)) )],[refute_0_472,refute_0_473]) ).
cnf(refute_0_475,plain,
join(meet(meet(X_4,X_5),meet(X_5,join(X_4,X_5))),X_5) = meet(X_5,join(X_4,X_5)),
inference(resolve,[$cnf( $equal(join(meet(meet(X_4,X_5),meet(X_5,join(X_4,X_5))),meet(meet(X_5,join(X_4,X_5)),X_5)),meet(X_5,join(X_4,X_5))) )],[refute_0_467,refute_0_474]) ).
cnf(refute_0_476,plain,
join(meet(meet(meet(X_5,join(X_72,X_5)),X_5),meet(X_5,join(meet(X_5,join(X_72,X_5)),X_5))),X_5) = meet(X_5,join(meet(X_5,join(X_72,X_5)),X_5)),
inference(subst,[],[refute_0_475:[bind(X_4,$fot(meet(X_5,join(X_72,X_5))))]]) ).
cnf(refute_0_477,plain,
meet(meet(X_5,join(X_72,X_5)),X_5) = X_5,
inference(subst,[],[refute_0_374:[bind(X_41,$fot(X_5)),bind(X_42,$fot(X_72))]]) ).
cnf(refute_0_478,plain,
( join(meet(meet(meet(X_5,join(X_72,X_5)),X_5),meet(X_5,join(meet(X_5,join(X_72,X_5)),X_5))),X_5) != meet(X_5,join(meet(X_5,join(X_72,X_5)),X_5))
| meet(meet(X_5,join(X_72,X_5)),X_5) != X_5
| join(meet(X_5,meet(X_5,join(meet(X_5,join(X_72,X_5)),X_5))),X_5) = meet(X_5,join(meet(X_5,join(X_72,X_5)),X_5)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(meet(X_5,join(X_72,X_5)),X_5),meet(X_5,join(meet(X_5,join(X_72,X_5)),X_5))),X_5),meet(X_5,join(meet(X_5,join(X_72,X_5)),X_5))) ),[0,0,0],$fot(X_5)]]) ).
cnf(refute_0_479,plain,
( join(meet(meet(meet(X_5,join(X_72,X_5)),X_5),meet(X_5,join(meet(X_5,join(X_72,X_5)),X_5))),X_5) != meet(X_5,join(meet(X_5,join(X_72,X_5)),X_5))
| join(meet(X_5,meet(X_5,join(meet(X_5,join(X_72,X_5)),X_5))),X_5) = meet(X_5,join(meet(X_5,join(X_72,X_5)),X_5)) ),
inference(resolve,[$cnf( $equal(meet(meet(X_5,join(X_72,X_5)),X_5),X_5) )],[refute_0_477,refute_0_478]) ).
cnf(refute_0_480,plain,
join(meet(X_5,meet(X_5,join(meet(X_5,join(X_72,X_5)),X_5))),X_5) = meet(X_5,join(meet(X_5,join(X_72,X_5)),X_5)),
inference(resolve,[$cnf( $equal(join(meet(meet(meet(X_5,join(X_72,X_5)),X_5),meet(X_5,join(meet(X_5,join(X_72,X_5)),X_5))),X_5),meet(X_5,join(meet(X_5,join(X_72,X_5)),X_5))) )],[refute_0_476,refute_0_479]) ).
cnf(refute_0_481,plain,
join(join(meet(X_5,join(X_72,X_5)),X_5),X_5) = X_5,
inference(subst,[],[refute_0_224:[bind(A,$fot(X_5)),bind(B,$fot(join(X_72,X_5)))]]) ).
cnf(refute_0_482,plain,
meet(X_5,join(meet(X_5,join(X_72,X_5)),X_5)) = join(meet(X_5,join(X_72,X_5)),X_5),
inference(subst,[],[refute_0_330:[bind(X_10,$fot(X_5)),bind(X_33,$fot(join(X_72,X_5)))]]) ).
cnf(refute_0_483,plain,
meet(X_5,meet(X_5,join(meet(X_5,join(X_72,X_5)),X_5))) = meet(X_5,join(meet(X_5,join(X_72,X_5)),X_5)),
inference(subst,[],[refute_0_398:[bind(A,$fot(X_5)),bind(B,$fot(join(meet(X_5,join(X_72,X_5)),X_5)))]]) ).
cnf(refute_0_484,plain,
( meet(X_5,join(meet(X_5,join(X_72,X_5)),X_5)) != join(meet(X_5,join(X_72,X_5)),X_5)
| meet(X_5,meet(X_5,join(meet(X_5,join(X_72,X_5)),X_5))) != meet(X_5,join(meet(X_5,join(X_72,X_5)),X_5))
| meet(X_5,meet(X_5,join(meet(X_5,join(X_72,X_5)),X_5))) = join(meet(X_5,join(X_72,X_5)),X_5) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(meet(X_5,meet(X_5,join(meet(X_5,join(X_72,X_5)),X_5))))),bind(Y,$fot(meet(X_5,join(meet(X_5,join(X_72,X_5)),X_5)))),bind(Z,$fot(join(meet(X_5,join(X_72,X_5)),X_5)))]]) ).
cnf(refute_0_485,plain,
( meet(X_5,join(meet(X_5,join(X_72,X_5)),X_5)) != join(meet(X_5,join(X_72,X_5)),X_5)
| meet(X_5,meet(X_5,join(meet(X_5,join(X_72,X_5)),X_5))) = join(meet(X_5,join(X_72,X_5)),X_5) ),
inference(resolve,[$cnf( $equal(meet(X_5,meet(X_5,join(meet(X_5,join(X_72,X_5)),X_5))),meet(X_5,join(meet(X_5,join(X_72,X_5)),X_5))) )],[refute_0_483,refute_0_484]) ).
cnf(refute_0_486,plain,
meet(X_5,meet(X_5,join(meet(X_5,join(X_72,X_5)),X_5))) = join(meet(X_5,join(X_72,X_5)),X_5),
inference(resolve,[$cnf( $equal(meet(X_5,join(meet(X_5,join(X_72,X_5)),X_5)),join(meet(X_5,join(X_72,X_5)),X_5)) )],[refute_0_482,refute_0_485]) ).
cnf(refute_0_487,plain,
join(meet(X_5,meet(X_5,join(meet(X_5,join(X_72,X_5)),X_5))),X_5) = join(meet(X_5,meet(X_5,join(meet(X_5,join(X_72,X_5)),X_5))),X_5),
introduced(tautology,[refl,[$fot(join(meet(X_5,meet(X_5,join(meet(X_5,join(X_72,X_5)),X_5))),X_5))]]) ).
cnf(refute_0_488,plain,
( join(meet(X_5,meet(X_5,join(meet(X_5,join(X_72,X_5)),X_5))),X_5) != join(meet(X_5,meet(X_5,join(meet(X_5,join(X_72,X_5)),X_5))),X_5)
| meet(X_5,meet(X_5,join(meet(X_5,join(X_72,X_5)),X_5))) != join(meet(X_5,join(X_72,X_5)),X_5)
| join(meet(X_5,meet(X_5,join(meet(X_5,join(X_72,X_5)),X_5))),X_5) = join(join(meet(X_5,join(X_72,X_5)),X_5),X_5) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_5,meet(X_5,join(meet(X_5,join(X_72,X_5)),X_5))),X_5),join(meet(X_5,meet(X_5,join(meet(X_5,join(X_72,X_5)),X_5))),X_5)) ),[1,0],$fot(join(meet(X_5,join(X_72,X_5)),X_5))]]) ).
cnf(refute_0_489,plain,
( meet(X_5,meet(X_5,join(meet(X_5,join(X_72,X_5)),X_5))) != join(meet(X_5,join(X_72,X_5)),X_5)
| join(meet(X_5,meet(X_5,join(meet(X_5,join(X_72,X_5)),X_5))),X_5) = join(join(meet(X_5,join(X_72,X_5)),X_5),X_5) ),
inference(resolve,[$cnf( $equal(join(meet(X_5,meet(X_5,join(meet(X_5,join(X_72,X_5)),X_5))),X_5),join(meet(X_5,meet(X_5,join(meet(X_5,join(X_72,X_5)),X_5))),X_5)) )],[refute_0_487,refute_0_488]) ).
cnf(refute_0_490,plain,
join(meet(X_5,meet(X_5,join(meet(X_5,join(X_72,X_5)),X_5))),X_5) = join(join(meet(X_5,join(X_72,X_5)),X_5),X_5),
inference(resolve,[$cnf( $equal(meet(X_5,meet(X_5,join(meet(X_5,join(X_72,X_5)),X_5))),join(meet(X_5,join(X_72,X_5)),X_5)) )],[refute_0_486,refute_0_489]) ).
cnf(refute_0_491,plain,
( join(join(meet(X_5,join(X_72,X_5)),X_5),X_5) != X_5
| join(meet(X_5,meet(X_5,join(meet(X_5,join(X_72,X_5)),X_5))),X_5) != join(join(meet(X_5,join(X_72,X_5)),X_5),X_5)
| join(meet(X_5,meet(X_5,join(meet(X_5,join(X_72,X_5)),X_5))),X_5) = X_5 ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(meet(X_5,meet(X_5,join(meet(X_5,join(X_72,X_5)),X_5))),X_5))),bind(Y,$fot(join(join(meet(X_5,join(X_72,X_5)),X_5),X_5))),bind(Z,$fot(X_5))]]) ).
cnf(refute_0_492,plain,
( join(join(meet(X_5,join(X_72,X_5)),X_5),X_5) != X_5
| join(meet(X_5,meet(X_5,join(meet(X_5,join(X_72,X_5)),X_5))),X_5) = X_5 ),
inference(resolve,[$cnf( $equal(join(meet(X_5,meet(X_5,join(meet(X_5,join(X_72,X_5)),X_5))),X_5),join(join(meet(X_5,join(X_72,X_5)),X_5),X_5)) )],[refute_0_490,refute_0_491]) ).
cnf(refute_0_493,plain,
join(meet(X_5,meet(X_5,join(meet(X_5,join(X_72,X_5)),X_5))),X_5) = X_5,
inference(resolve,[$cnf( $equal(join(join(meet(X_5,join(X_72,X_5)),X_5),X_5),X_5) )],[refute_0_481,refute_0_492]) ).
cnf(refute_0_494,plain,
( join(meet(X_5,meet(X_5,join(meet(X_5,join(X_72,X_5)),X_5))),X_5) != X_5
| join(meet(X_5,meet(X_5,join(meet(X_5,join(X_72,X_5)),X_5))),X_5) != meet(X_5,join(meet(X_5,join(X_72,X_5)),X_5))
| X_5 = meet(X_5,join(meet(X_5,join(X_72,X_5)),X_5)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_5,meet(X_5,join(meet(X_5,join(X_72,X_5)),X_5))),X_5),meet(X_5,join(meet(X_5,join(X_72,X_5)),X_5))) ),[0],$fot(X_5)]]) ).
cnf(refute_0_495,plain,
( join(meet(X_5,meet(X_5,join(meet(X_5,join(X_72,X_5)),X_5))),X_5) != meet(X_5,join(meet(X_5,join(X_72,X_5)),X_5))
| X_5 = meet(X_5,join(meet(X_5,join(X_72,X_5)),X_5)) ),
inference(resolve,[$cnf( $equal(join(meet(X_5,meet(X_5,join(meet(X_5,join(X_72,X_5)),X_5))),X_5),X_5) )],[refute_0_493,refute_0_494]) ).
cnf(refute_0_496,plain,
( X_5 != meet(X_5,join(meet(X_5,join(X_72,X_5)),X_5))
| meet(X_5,join(meet(X_5,join(X_72,X_5)),X_5)) != join(meet(X_5,join(X_72,X_5)),X_5)
| X_5 = join(meet(X_5,join(X_72,X_5)),X_5) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_5,join(meet(X_5,join(X_72,X_5)),X_5)) ),[0],$fot(meet(X_5,join(meet(X_5,join(X_72,X_5)),X_5)))]]) ).
cnf(refute_0_497,plain,
( X_5 != meet(X_5,join(meet(X_5,join(X_72,X_5)),X_5))
| X_5 = join(meet(X_5,join(X_72,X_5)),X_5) ),
inference(resolve,[$cnf( $equal(meet(X_5,join(meet(X_5,join(X_72,X_5)),X_5)),join(meet(X_5,join(X_72,X_5)),X_5)) )],[refute_0_482,refute_0_496]) ).
cnf(refute_0_498,plain,
( join(meet(X_5,meet(X_5,join(meet(X_5,join(X_72,X_5)),X_5))),X_5) != meet(X_5,join(meet(X_5,join(X_72,X_5)),X_5))
| X_5 = join(meet(X_5,join(X_72,X_5)),X_5) ),
inference(resolve,[$cnf( $equal(X_5,meet(X_5,join(meet(X_5,join(X_72,X_5)),X_5))) )],[refute_0_495,refute_0_497]) ).
cnf(refute_0_499,plain,
X_5 = join(meet(X_5,join(X_72,X_5)),X_5),
inference(resolve,[$cnf( $equal(join(meet(X_5,meet(X_5,join(meet(X_5,join(X_72,X_5)),X_5))),X_5),meet(X_5,join(meet(X_5,join(X_72,X_5)),X_5))) )],[refute_0_480,refute_0_498]) ).
cnf(refute_0_500,plain,
( X_5 != join(meet(X_5,join(X_72,X_5)),X_5)
| join(meet(X_5,join(X_72,X_5)),X_5) = X_5 ),
inference(subst,[],[refute_0_25:[bind(X,$fot(X_5)),bind(Y,$fot(join(meet(X_5,join(X_72,X_5)),X_5)))]]) ).
cnf(refute_0_501,plain,
join(meet(X_5,join(X_72,X_5)),X_5) = X_5,
inference(resolve,[$cnf( $equal(X_5,join(meet(X_5,join(X_72,X_5)),X_5)) )],[refute_0_499,refute_0_500]) ).
cnf(refute_0_502,plain,
join(meet(B,join(X_72,B)),B) = B,
inference(subst,[],[refute_0_501:[bind(X_5,$fot(B))]]) ).
cnf(refute_0_503,plain,
meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B)) = meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B)),
introduced(tautology,[refl,[$fot(meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B)))]]) ).
cnf(refute_0_504,plain,
( join(meet(B,join(X_72,B)),B) != B
| meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B)) != meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B))
| meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B)) = meet(meet(B,join(X_72,B)),B) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B)),meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B))) ),[1,1],$fot(B)]]) ).
cnf(refute_0_505,plain,
( join(meet(B,join(X_72,B)),B) != B
| meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B)) = meet(meet(B,join(X_72,B)),B) ),
inference(resolve,[$cnf( $equal(meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B)),meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B))) )],[refute_0_503,refute_0_504]) ).
cnf(refute_0_506,plain,
meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B)) = meet(meet(B,join(X_72,B)),B),
inference(resolve,[$cnf( $equal(join(meet(B,join(X_72,B)),B),B) )],[refute_0_502,refute_0_505]) ).
cnf(refute_0_507,plain,
( meet(meet(B,join(X_72,B)),B) != B
| meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B)) != meet(meet(B,join(X_72,B)),B)
| meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B)) = B ),
inference(subst,[],[refute_0_27:[bind(X,$fot(meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B)))),bind(Y,$fot(meet(meet(B,join(X_72,B)),B))),bind(Z,$fot(B))]]) ).
cnf(refute_0_508,plain,
( meet(meet(B,join(X_72,B)),B) != B
| meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B)) = B ),
inference(resolve,[$cnf( $equal(meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B)),meet(meet(B,join(X_72,B)),B)) )],[refute_0_506,refute_0_507]) ).
cnf(refute_0_509,plain,
meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B)) = B,
inference(resolve,[$cnf( $equal(meet(meet(B,join(X_72,B)),B),B) )],[refute_0_375,refute_0_508]) ).
cnf(refute_0_510,plain,
meet(meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B)),meet(B,join(X_72,B))) = meet(meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B)),meet(B,join(X_72,B))),
introduced(tautology,[refl,[$fot(meet(meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B)),meet(B,join(X_72,B))))]]) ).
cnf(refute_0_511,plain,
( meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B)) != B
| meet(meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B)),meet(B,join(X_72,B))) != meet(meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B)),meet(B,join(X_72,B)))
| meet(meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B)),meet(B,join(X_72,B))) = meet(B,meet(B,join(X_72,B))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B)),meet(B,join(X_72,B))),meet(meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B)),meet(B,join(X_72,B)))) ),[1,0],$fot(B)]]) ).
cnf(refute_0_512,plain,
( meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B)) != B
| meet(meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B)),meet(B,join(X_72,B))) = meet(B,meet(B,join(X_72,B))) ),
inference(resolve,[$cnf( $equal(meet(meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B)),meet(B,join(X_72,B))),meet(meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B)),meet(B,join(X_72,B)))) )],[refute_0_510,refute_0_511]) ).
cnf(refute_0_513,plain,
meet(meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B)),meet(B,join(X_72,B))) = meet(B,meet(B,join(X_72,B))),
inference(resolve,[$cnf( $equal(meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B)),B) )],[refute_0_509,refute_0_512]) ).
cnf(refute_0_514,plain,
( meet(B,meet(B,join(X_72,B))) != meet(B,join(X_72,B))
| meet(meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B)),meet(B,join(X_72,B))) != meet(B,meet(B,join(X_72,B)))
| meet(meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B)),meet(B,join(X_72,B))) = meet(B,join(X_72,B)) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(meet(meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B)),meet(B,join(X_72,B))))),bind(Y,$fot(meet(B,meet(B,join(X_72,B))))),bind(Z,$fot(meet(B,join(X_72,B))))]]) ).
cnf(refute_0_515,plain,
( meet(B,meet(B,join(X_72,B))) != meet(B,join(X_72,B))
| meet(meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B)),meet(B,join(X_72,B))) = meet(B,join(X_72,B)) ),
inference(resolve,[$cnf( $equal(meet(meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B)),meet(B,join(X_72,B))),meet(B,meet(B,join(X_72,B)))) )],[refute_0_513,refute_0_514]) ).
cnf(refute_0_516,plain,
meet(meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B)),meet(B,join(X_72,B))) = meet(B,join(X_72,B)),
inference(resolve,[$cnf( $equal(meet(B,meet(B,join(X_72,B))),meet(B,join(X_72,B))) )],[refute_0_462,refute_0_515]) ).
cnf(refute_0_517,plain,
join(B,meet(meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B)),meet(B,join(X_72,B)))) = join(B,meet(meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B)),meet(B,join(X_72,B)))),
introduced(tautology,[refl,[$fot(join(B,meet(meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B)),meet(B,join(X_72,B)))))]]) ).
cnf(refute_0_518,plain,
( join(B,meet(meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B)),meet(B,join(X_72,B)))) != join(B,meet(meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B)),meet(B,join(X_72,B))))
| meet(meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B)),meet(B,join(X_72,B))) != meet(B,join(X_72,B))
| join(B,meet(meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B)),meet(B,join(X_72,B)))) = join(B,meet(B,join(X_72,B))) ),
introduced(tautology,[equality,[$cnf( $equal(join(B,meet(meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B)),meet(B,join(X_72,B)))),join(B,meet(meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B)),meet(B,join(X_72,B))))) ),[1,1],$fot(meet(B,join(X_72,B)))]]) ).
cnf(refute_0_519,plain,
( meet(meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B)),meet(B,join(X_72,B))) != meet(B,join(X_72,B))
| join(B,meet(meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B)),meet(B,join(X_72,B)))) = join(B,meet(B,join(X_72,B))) ),
inference(resolve,[$cnf( $equal(join(B,meet(meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B)),meet(B,join(X_72,B)))),join(B,meet(meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B)),meet(B,join(X_72,B))))) )],[refute_0_517,refute_0_518]) ).
cnf(refute_0_520,plain,
join(B,meet(meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B)),meet(B,join(X_72,B)))) = join(B,meet(B,join(X_72,B))),
inference(resolve,[$cnf( $equal(meet(meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B)),meet(B,join(X_72,B))),meet(B,join(X_72,B))) )],[refute_0_516,refute_0_519]) ).
cnf(refute_0_521,plain,
meet(B,B) = B,
inference(subst,[],[refute_0_40:[bind(X_38,$fot(B))]]) ).
cnf(refute_0_522,plain,
meet(B,meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B))) = meet(B,meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B))),
introduced(tautology,[refl,[$fot(meet(B,meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B))))]]) ).
cnf(refute_0_523,plain,
( meet(B,meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B))) != meet(B,meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B)))
| meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B)) != B
| meet(B,meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B))) = meet(B,B) ),
introduced(tautology,[equality,[$cnf( $equal(meet(B,meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B))),meet(B,meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B)))) ),[1,1],$fot(B)]]) ).
cnf(refute_0_524,plain,
( meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B)) != B
| meet(B,meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B))) = meet(B,B) ),
inference(resolve,[$cnf( $equal(meet(B,meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B))),meet(B,meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B)))) )],[refute_0_522,refute_0_523]) ).
cnf(refute_0_525,plain,
meet(B,meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B))) = meet(B,B),
inference(resolve,[$cnf( $equal(meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B)),B) )],[refute_0_509,refute_0_524]) ).
cnf(refute_0_526,plain,
( meet(B,B) != B
| meet(B,meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B))) != meet(B,B)
| meet(B,meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B))) = B ),
inference(subst,[],[refute_0_27:[bind(X,$fot(meet(B,meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B))))),bind(Y,$fot(meet(B,B))),bind(Z,$fot(B))]]) ).
cnf(refute_0_527,plain,
( meet(B,B) != B
| meet(B,meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B))) = B ),
inference(resolve,[$cnf( $equal(meet(B,meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B))),meet(B,B)) )],[refute_0_525,refute_0_526]) ).
cnf(refute_0_528,plain,
meet(B,meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B))) = B,
inference(resolve,[$cnf( $equal(meet(B,B),B) )],[refute_0_521,refute_0_527]) ).
cnf(refute_0_529,plain,
join(meet(B,meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B))),meet(meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B)),meet(B,join(X_72,B)))) = join(meet(B,meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B))),meet(meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B)),meet(B,join(X_72,B)))),
introduced(tautology,[refl,[$fot(join(meet(B,meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B))),meet(meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B)),meet(B,join(X_72,B)))))]]) ).
cnf(refute_0_530,plain,
( join(meet(B,meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B))),meet(meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B)),meet(B,join(X_72,B)))) != join(meet(B,meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B))),meet(meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B)),meet(B,join(X_72,B))))
| meet(B,meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B))) != B
| join(meet(B,meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B))),meet(meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B)),meet(B,join(X_72,B)))) = join(B,meet(meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B)),meet(B,join(X_72,B)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(B,meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B))),meet(meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B)),meet(B,join(X_72,B)))),join(meet(B,meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B))),meet(meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B)),meet(B,join(X_72,B))))) ),[1,0],$fot(B)]]) ).
cnf(refute_0_531,plain,
( meet(B,meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B))) != B
| join(meet(B,meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B))),meet(meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B)),meet(B,join(X_72,B)))) = join(B,meet(meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B)),meet(B,join(X_72,B)))) ),
inference(resolve,[$cnf( $equal(join(meet(B,meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B))),meet(meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B)),meet(B,join(X_72,B)))),join(meet(B,meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B))),meet(meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B)),meet(B,join(X_72,B))))) )],[refute_0_529,refute_0_530]) ).
cnf(refute_0_532,plain,
join(meet(B,meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B))),meet(meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B)),meet(B,join(X_72,B)))) = join(B,meet(meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B)),meet(B,join(X_72,B)))),
inference(resolve,[$cnf( $equal(meet(B,meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B))),B) )],[refute_0_528,refute_0_531]) ).
cnf(refute_0_533,plain,
( join(B,meet(meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B)),meet(B,join(X_72,B)))) != join(B,meet(B,join(X_72,B)))
| join(meet(B,meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B))),meet(meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B)),meet(B,join(X_72,B)))) != join(B,meet(meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B)),meet(B,join(X_72,B))))
| join(meet(B,meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B))),meet(meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B)),meet(B,join(X_72,B)))) = join(B,meet(B,join(X_72,B))) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(meet(B,meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B))),meet(meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B)),meet(B,join(X_72,B)))))),bind(Y,$fot(join(B,meet(meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B)),meet(B,join(X_72,B)))))),bind(Z,$fot(join(B,meet(B,join(X_72,B)))))]]) ).
cnf(refute_0_534,plain,
( join(B,meet(meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B)),meet(B,join(X_72,B)))) != join(B,meet(B,join(X_72,B)))
| join(meet(B,meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B))),meet(meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B)),meet(B,join(X_72,B)))) = join(B,meet(B,join(X_72,B))) ),
inference(resolve,[$cnf( $equal(join(meet(B,meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B))),meet(meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B)),meet(B,join(X_72,B)))),join(B,meet(meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B)),meet(B,join(X_72,B))))) )],[refute_0_532,refute_0_533]) ).
cnf(refute_0_535,plain,
join(meet(B,meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B))),meet(meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B)),meet(B,join(X_72,B)))) = join(B,meet(B,join(X_72,B))),
inference(resolve,[$cnf( $equal(join(B,meet(meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B)),meet(B,join(X_72,B)))),join(B,meet(B,join(X_72,B)))) )],[refute_0_520,refute_0_534]) ).
cnf(refute_0_536,plain,
( join(B,meet(B,join(X_72,B))) != meet(B,join(X_72,B))
| join(meet(B,meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B))),meet(meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B)),meet(B,join(X_72,B)))) != join(B,meet(B,join(X_72,B)))
| join(meet(B,meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B))),meet(meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B)),meet(B,join(X_72,B)))) = meet(B,join(X_72,B)) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(meet(B,meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B))),meet(meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B)),meet(B,join(X_72,B)))))),bind(Y,$fot(join(B,meet(B,join(X_72,B))))),bind(Z,$fot(meet(B,join(X_72,B))))]]) ).
cnf(refute_0_537,plain,
( join(B,meet(B,join(X_72,B))) != meet(B,join(X_72,B))
| join(meet(B,meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B))),meet(meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B)),meet(B,join(X_72,B)))) = meet(B,join(X_72,B)) ),
inference(resolve,[$cnf( $equal(join(meet(B,meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B))),meet(meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B)),meet(B,join(X_72,B)))),join(B,meet(B,join(X_72,B)))) )],[refute_0_535,refute_0_536]) ).
cnf(refute_0_538,plain,
join(meet(B,meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B))),meet(meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B)),meet(B,join(X_72,B)))) = meet(B,join(X_72,B)),
inference(resolve,[$cnf( $equal(join(B,meet(B,join(X_72,B))),meet(B,join(X_72,B))) )],[refute_0_461,refute_0_537]) ).
cnf(refute_0_539,plain,
( join(meet(B,meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B))),meet(meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B)),meet(B,join(X_72,B)))) != meet(B,join(X_72,B))
| join(meet(B,meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B))),meet(meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B)),meet(B,join(X_72,B)))) != meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B))
| meet(B,join(X_72,B)) = meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(B,meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B))),meet(meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B)),meet(B,join(X_72,B)))),meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B))) ),[0],$fot(meet(B,join(X_72,B)))]]) ).
cnf(refute_0_540,plain,
( join(meet(B,meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B))),meet(meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B)),meet(B,join(X_72,B)))) != meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B))
| meet(B,join(X_72,B)) = meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B)) ),
inference(resolve,[$cnf( $equal(join(meet(B,meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B))),meet(meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B)),meet(B,join(X_72,B)))),meet(B,join(X_72,B))) )],[refute_0_538,refute_0_539]) ).
cnf(refute_0_541,plain,
( meet(B,join(X_72,B)) != meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B))
| meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B)) != B
| meet(B,join(X_72,B)) = B ),
introduced(tautology,[equality,[$cnf( ~ $equal(meet(B,join(X_72,B)),B) ),[0],$fot(meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B)))]]) ).
cnf(refute_0_542,plain,
( meet(B,join(X_72,B)) != meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B))
| meet(B,join(X_72,B)) = B ),
inference(resolve,[$cnf( $equal(meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B)),B) )],[refute_0_509,refute_0_541]) ).
cnf(refute_0_543,plain,
( join(meet(B,meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B))),meet(meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B)),meet(B,join(X_72,B)))) != meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B))
| meet(B,join(X_72,B)) = B ),
inference(resolve,[$cnf( $equal(meet(B,join(X_72,B)),meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B))) )],[refute_0_540,refute_0_542]) ).
cnf(refute_0_544,plain,
meet(B,join(X_72,B)) = B,
inference(resolve,[$cnf( $equal(join(meet(B,meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B))),meet(meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B)),meet(B,join(X_72,B)))),meet(meet(B,join(X_72,B)),join(meet(B,join(X_72,B)),B))) )],[refute_0_378,refute_0_543]) ).
cnf(refute_0_545,plain,
meet(meet(join(X_69,B),join(C,X_69)),join(X_69,meet(join(X_69,B),join(C,X_69)))) = meet(join(X_69,B),join(C,X_69)),
inference(subst,[],[refute_0_544:[bind(B,$fot(meet(join(X_69,B),join(C,X_69)))),bind(X_72,$fot(X_69))]]) ).
cnf(refute_0_546,plain,
( meet(meet(join(X_69,B),join(C,X_69)),join(X_69,meet(join(X_69,B),join(C,X_69)))) != join(X_69,meet(join(X_69,B),join(C,X_69)))
| meet(meet(join(X_69,B),join(C,X_69)),join(X_69,meet(join(X_69,B),join(C,X_69)))) != meet(join(X_69,B),join(C,X_69))
| meet(join(X_69,B),join(C,X_69)) = join(X_69,meet(join(X_69,B),join(C,X_69))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(join(X_69,B),join(C,X_69)),join(X_69,meet(join(X_69,B),join(C,X_69)))),join(X_69,meet(join(X_69,B),join(C,X_69)))) ),[0],$fot(meet(join(X_69,B),join(C,X_69)))]]) ).
cnf(refute_0_547,plain,
( meet(meet(join(X_69,B),join(C,X_69)),join(X_69,meet(join(X_69,B),join(C,X_69)))) != join(X_69,meet(join(X_69,B),join(C,X_69)))
| meet(join(X_69,B),join(C,X_69)) = join(X_69,meet(join(X_69,B),join(C,X_69))) ),
inference(resolve,[$cnf( $equal(meet(meet(join(X_69,B),join(C,X_69)),join(X_69,meet(join(X_69,B),join(C,X_69)))),meet(join(X_69,B),join(C,X_69))) )],[refute_0_545,refute_0_546]) ).
cnf(refute_0_548,plain,
meet(join(X_69,B),join(C,X_69)) = join(X_69,meet(join(X_69,B),join(C,X_69))),
inference(resolve,[$cnf( $equal(meet(meet(join(X_69,B),join(C,X_69)),join(X_69,meet(join(X_69,B),join(C,X_69)))),join(X_69,meet(join(X_69,B),join(C,X_69)))) )],[refute_0_342,refute_0_547]) ).
cnf(refute_0_549,plain,
( meet(join(X_69,B),join(C,X_69)) != join(X_69,meet(join(X_69,B),join(C,X_69)))
| join(X_69,meet(join(X_69,B),join(C,X_69))) = meet(join(X_69,B),join(C,X_69)) ),
inference(subst,[],[refute_0_25:[bind(X,$fot(meet(join(X_69,B),join(C,X_69)))),bind(Y,$fot(join(X_69,meet(join(X_69,B),join(C,X_69)))))]]) ).
cnf(refute_0_550,plain,
join(X_69,meet(join(X_69,B),join(C,X_69))) = meet(join(X_69,B),join(C,X_69)),
inference(resolve,[$cnf( $equal(meet(join(X_69,B),join(C,X_69)),join(X_69,meet(join(X_69,B),join(C,X_69)))) )],[refute_0_548,refute_0_549]) ).
cnf(refute_0_551,plain,
join(B,meet(join(B,X_45),join(join(B,X_45),B))) = meet(join(B,X_45),join(join(B,X_45),B)),
inference(subst,[],[refute_0_550:[bind(B,$fot(X_45)),bind(C,$fot(join(B,X_45))),bind(X_69,$fot(B))]]) ).
cnf(refute_0_552,plain,
( join(B,meet(join(B,X_45),join(join(B,X_45),B))) != join(B,X_45)
| join(B,meet(join(B,X_45),join(join(B,X_45),B))) != meet(join(B,X_45),join(join(B,X_45),B))
| meet(join(B,X_45),join(join(B,X_45),B)) = join(B,X_45) ),
introduced(tautology,[equality,[$cnf( $equal(join(B,meet(join(B,X_45),join(join(B,X_45),B))),join(B,X_45)) ),[0],$fot(meet(join(B,X_45),join(join(B,X_45),B)))]]) ).
cnf(refute_0_553,plain,
( join(B,meet(join(B,X_45),join(join(B,X_45),B))) != join(B,X_45)
| meet(join(B,X_45),join(join(B,X_45),B)) = join(B,X_45) ),
inference(resolve,[$cnf( $equal(join(B,meet(join(B,X_45),join(join(B,X_45),B))),meet(join(B,X_45),join(join(B,X_45),B))) )],[refute_0_551,refute_0_552]) ).
cnf(refute_0_554,plain,
meet(join(B,X_45),join(join(B,X_45),B)) = join(B,X_45),
inference(resolve,[$cnf( $equal(join(B,meet(join(B,X_45),join(join(B,X_45),B))),join(B,X_45)) )],[refute_0_218,refute_0_553]) ).
cnf(refute_0_555,plain,
meet(join(X_3,X_45),join(join(X_3,X_45),X_3)) = join(X_3,X_45),
inference(subst,[],[refute_0_554:[bind(B,$fot(X_3))]]) ).
cnf(refute_0_556,plain,
meet(X_3,meet(join(X_3,X_45),join(join(X_3,X_45),X_3))) = meet(X_3,meet(join(X_3,X_45),join(join(X_3,X_45),X_3))),
introduced(tautology,[refl,[$fot(meet(X_3,meet(join(X_3,X_45),join(join(X_3,X_45),X_3))))]]) ).
cnf(refute_0_557,plain,
( meet(X_3,meet(join(X_3,X_45),join(join(X_3,X_45),X_3))) != meet(X_3,meet(join(X_3,X_45),join(join(X_3,X_45),X_3)))
| meet(join(X_3,X_45),join(join(X_3,X_45),X_3)) != join(X_3,X_45)
| meet(X_3,meet(join(X_3,X_45),join(join(X_3,X_45),X_3))) = meet(X_3,join(X_3,X_45)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_3,meet(join(X_3,X_45),join(join(X_3,X_45),X_3))),meet(X_3,meet(join(X_3,X_45),join(join(X_3,X_45),X_3)))) ),[1,1],$fot(join(X_3,X_45))]]) ).
cnf(refute_0_558,plain,
( meet(join(X_3,X_45),join(join(X_3,X_45),X_3)) != join(X_3,X_45)
| meet(X_3,meet(join(X_3,X_45),join(join(X_3,X_45),X_3))) = meet(X_3,join(X_3,X_45)) ),
inference(resolve,[$cnf( $equal(meet(X_3,meet(join(X_3,X_45),join(join(X_3,X_45),X_3))),meet(X_3,meet(join(X_3,X_45),join(join(X_3,X_45),X_3)))) )],[refute_0_556,refute_0_557]) ).
cnf(refute_0_559,plain,
meet(X_3,meet(join(X_3,X_45),join(join(X_3,X_45),X_3))) = meet(X_3,join(X_3,X_45)),
inference(resolve,[$cnf( $equal(meet(join(X_3,X_45),join(join(X_3,X_45),X_3)),join(X_3,X_45)) )],[refute_0_555,refute_0_558]) ).
cnf(refute_0_560,plain,
join(meet(X_3,meet(join(X_3,X_45),join(join(X_3,X_45),X_3))),meet(X_3,join(X_3,X_45))) = join(meet(X_3,meet(join(X_3,X_45),join(join(X_3,X_45),X_3))),meet(X_3,join(X_3,X_45))),
introduced(tautology,[refl,[$fot(join(meet(X_3,meet(join(X_3,X_45),join(join(X_3,X_45),X_3))),meet(X_3,join(X_3,X_45))))]]) ).
cnf(refute_0_561,plain,
( join(meet(X_3,meet(join(X_3,X_45),join(join(X_3,X_45),X_3))),meet(X_3,join(X_3,X_45))) != join(meet(X_3,meet(join(X_3,X_45),join(join(X_3,X_45),X_3))),meet(X_3,join(X_3,X_45)))
| meet(X_3,meet(join(X_3,X_45),join(join(X_3,X_45),X_3))) != meet(X_3,join(X_3,X_45))
| join(meet(X_3,meet(join(X_3,X_45),join(join(X_3,X_45),X_3))),meet(X_3,join(X_3,X_45))) = join(meet(X_3,join(X_3,X_45)),meet(X_3,join(X_3,X_45))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_3,meet(join(X_3,X_45),join(join(X_3,X_45),X_3))),meet(X_3,join(X_3,X_45))),join(meet(X_3,meet(join(X_3,X_45),join(join(X_3,X_45),X_3))),meet(X_3,join(X_3,X_45)))) ),[1,0],$fot(meet(X_3,join(X_3,X_45)))]]) ).
cnf(refute_0_562,plain,
( meet(X_3,meet(join(X_3,X_45),join(join(X_3,X_45),X_3))) != meet(X_3,join(X_3,X_45))
| join(meet(X_3,meet(join(X_3,X_45),join(join(X_3,X_45),X_3))),meet(X_3,join(X_3,X_45))) = join(meet(X_3,join(X_3,X_45)),meet(X_3,join(X_3,X_45))) ),
inference(resolve,[$cnf( $equal(join(meet(X_3,meet(join(X_3,X_45),join(join(X_3,X_45),X_3))),meet(X_3,join(X_3,X_45))),join(meet(X_3,meet(join(X_3,X_45),join(join(X_3,X_45),X_3))),meet(X_3,join(X_3,X_45)))) )],[refute_0_560,refute_0_561]) ).
cnf(refute_0_563,plain,
join(meet(X_3,meet(join(X_3,X_45),join(join(X_3,X_45),X_3))),meet(X_3,join(X_3,X_45))) = join(meet(X_3,join(X_3,X_45)),meet(X_3,join(X_3,X_45))),
inference(resolve,[$cnf( $equal(meet(X_3,meet(join(X_3,X_45),join(join(X_3,X_45),X_3))),meet(X_3,join(X_3,X_45))) )],[refute_0_559,refute_0_562]) ).
cnf(refute_0_564,plain,
( join(meet(X_3,join(X_3,X_45)),meet(X_3,join(X_3,X_45))) != meet(X_3,join(X_3,X_45))
| join(meet(X_3,meet(join(X_3,X_45),join(join(X_3,X_45),X_3))),meet(X_3,join(X_3,X_45))) != join(meet(X_3,join(X_3,X_45)),meet(X_3,join(X_3,X_45)))
| join(meet(X_3,meet(join(X_3,X_45),join(join(X_3,X_45),X_3))),meet(X_3,join(X_3,X_45))) = meet(X_3,join(X_3,X_45)) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(meet(X_3,meet(join(X_3,X_45),join(join(X_3,X_45),X_3))),meet(X_3,join(X_3,X_45))))),bind(Y,$fot(join(meet(X_3,join(X_3,X_45)),meet(X_3,join(X_3,X_45))))),bind(Z,$fot(meet(X_3,join(X_3,X_45))))]]) ).
cnf(refute_0_565,plain,
( join(meet(X_3,join(X_3,X_45)),meet(X_3,join(X_3,X_45))) != meet(X_3,join(X_3,X_45))
| join(meet(X_3,meet(join(X_3,X_45),join(join(X_3,X_45),X_3))),meet(X_3,join(X_3,X_45))) = meet(X_3,join(X_3,X_45)) ),
inference(resolve,[$cnf( $equal(join(meet(X_3,meet(join(X_3,X_45),join(join(X_3,X_45),X_3))),meet(X_3,join(X_3,X_45))),join(meet(X_3,join(X_3,X_45)),meet(X_3,join(X_3,X_45)))) )],[refute_0_563,refute_0_564]) ).
cnf(refute_0_566,plain,
join(meet(X_3,meet(join(X_3,X_45),join(join(X_3,X_45),X_3))),meet(X_3,join(X_3,X_45))) = meet(X_3,join(X_3,X_45)),
inference(resolve,[$cnf( $equal(join(meet(X_3,join(X_3,X_45)),meet(X_3,join(X_3,X_45))),meet(X_3,join(X_3,X_45))) )],[refute_0_211,refute_0_565]) ).
cnf(refute_0_567,plain,
( join(meet(X_3,meet(join(X_3,X_45),join(join(X_3,X_45),X_3))),meet(X_3,join(X_3,X_45))) != X_3
| join(meet(X_3,meet(join(X_3,X_45),join(join(X_3,X_45),X_3))),meet(X_3,join(X_3,X_45))) != meet(X_3,join(X_3,X_45))
| meet(X_3,join(X_3,X_45)) = X_3 ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_3,meet(join(X_3,X_45),join(join(X_3,X_45),X_3))),meet(X_3,join(X_3,X_45))),X_3) ),[0],$fot(meet(X_3,join(X_3,X_45)))]]) ).
cnf(refute_0_568,plain,
( join(meet(X_3,meet(join(X_3,X_45),join(join(X_3,X_45),X_3))),meet(X_3,join(X_3,X_45))) != X_3
| meet(X_3,join(X_3,X_45)) = X_3 ),
inference(resolve,[$cnf( $equal(join(meet(X_3,meet(join(X_3,X_45),join(join(X_3,X_45),X_3))),meet(X_3,join(X_3,X_45))),meet(X_3,join(X_3,X_45))) )],[refute_0_566,refute_0_567]) ).
cnf(refute_0_569,plain,
meet(X_3,join(X_3,X_45)) = X_3,
inference(resolve,[$cnf( $equal(join(meet(X_3,meet(join(X_3,X_45),join(join(X_3,X_45),X_3))),meet(X_3,join(X_3,X_45))),X_3) )],[refute_0_210,refute_0_568]) ).
cnf(refute_0_570,plain,
meet(X_2,join(X_2,X_3)) = X_2,
inference(subst,[],[refute_0_569:[bind(X_3,$fot(X_2)),bind(X_45,$fot(X_3))]]) ).
cnf(refute_0_571,plain,
meet(meet(X_2,X_3),meet(X_2,join(X_2,X_3))) = meet(meet(X_2,X_3),meet(X_2,join(X_2,X_3))),
introduced(tautology,[refl,[$fot(meet(meet(X_2,X_3),meet(X_2,join(X_2,X_3))))]]) ).
cnf(refute_0_572,plain,
( meet(X_2,join(X_2,X_3)) != X_2
| meet(meet(X_2,X_3),meet(X_2,join(X_2,X_3))) != meet(meet(X_2,X_3),meet(X_2,join(X_2,X_3)))
| meet(meet(X_2,X_3),meet(X_2,join(X_2,X_3))) = meet(meet(X_2,X_3),X_2) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_2,X_3),meet(X_2,join(X_2,X_3))),meet(meet(X_2,X_3),meet(X_2,join(X_2,X_3)))) ),[1,1],$fot(X_2)]]) ).
cnf(refute_0_573,plain,
( meet(X_2,join(X_2,X_3)) != X_2
| meet(meet(X_2,X_3),meet(X_2,join(X_2,X_3))) = meet(meet(X_2,X_3),X_2) ),
inference(resolve,[$cnf( $equal(meet(meet(X_2,X_3),meet(X_2,join(X_2,X_3))),meet(meet(X_2,X_3),meet(X_2,join(X_2,X_3)))) )],[refute_0_571,refute_0_572]) ).
cnf(refute_0_574,plain,
meet(meet(X_2,X_3),meet(X_2,join(X_2,X_3))) = meet(meet(X_2,X_3),X_2),
inference(resolve,[$cnf( $equal(meet(X_2,join(X_2,X_3)),X_2) )],[refute_0_570,refute_0_573]) ).
cnf(refute_0_575,plain,
join(meet(meet(X_2,X_3),meet(X_2,join(X_2,X_3))),meet(meet(X_2,X_3),X_2)) = join(meet(meet(X_2,X_3),meet(X_2,join(X_2,X_3))),meet(meet(X_2,X_3),X_2)),
introduced(tautology,[refl,[$fot(join(meet(meet(X_2,X_3),meet(X_2,join(X_2,X_3))),meet(meet(X_2,X_3),X_2)))]]) ).
cnf(refute_0_576,plain,
( join(meet(meet(X_2,X_3),meet(X_2,join(X_2,X_3))),meet(meet(X_2,X_3),X_2)) != join(meet(meet(X_2,X_3),meet(X_2,join(X_2,X_3))),meet(meet(X_2,X_3),X_2))
| meet(meet(X_2,X_3),meet(X_2,join(X_2,X_3))) != meet(meet(X_2,X_3),X_2)
| join(meet(meet(X_2,X_3),meet(X_2,join(X_2,X_3))),meet(meet(X_2,X_3),X_2)) = join(meet(meet(X_2,X_3),X_2),meet(meet(X_2,X_3),X_2)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(X_2,X_3),meet(X_2,join(X_2,X_3))),meet(meet(X_2,X_3),X_2)),join(meet(meet(X_2,X_3),meet(X_2,join(X_2,X_3))),meet(meet(X_2,X_3),X_2))) ),[1,0],$fot(meet(meet(X_2,X_3),X_2))]]) ).
cnf(refute_0_577,plain,
( meet(meet(X_2,X_3),meet(X_2,join(X_2,X_3))) != meet(meet(X_2,X_3),X_2)
| join(meet(meet(X_2,X_3),meet(X_2,join(X_2,X_3))),meet(meet(X_2,X_3),X_2)) = join(meet(meet(X_2,X_3),X_2),meet(meet(X_2,X_3),X_2)) ),
inference(resolve,[$cnf( $equal(join(meet(meet(X_2,X_3),meet(X_2,join(X_2,X_3))),meet(meet(X_2,X_3),X_2)),join(meet(meet(X_2,X_3),meet(X_2,join(X_2,X_3))),meet(meet(X_2,X_3),X_2))) )],[refute_0_575,refute_0_576]) ).
cnf(refute_0_578,plain,
join(meet(meet(X_2,X_3),meet(X_2,join(X_2,X_3))),meet(meet(X_2,X_3),X_2)) = join(meet(meet(X_2,X_3),X_2),meet(meet(X_2,X_3),X_2)),
inference(resolve,[$cnf( $equal(meet(meet(X_2,X_3),meet(X_2,join(X_2,X_3))),meet(meet(X_2,X_3),X_2)) )],[refute_0_574,refute_0_577]) ).
cnf(refute_0_579,plain,
( join(meet(meet(X_2,X_3),X_2),meet(meet(X_2,X_3),X_2)) != meet(meet(X_2,X_3),X_2)
| join(meet(meet(X_2,X_3),meet(X_2,join(X_2,X_3))),meet(meet(X_2,X_3),X_2)) != join(meet(meet(X_2,X_3),X_2),meet(meet(X_2,X_3),X_2))
| join(meet(meet(X_2,X_3),meet(X_2,join(X_2,X_3))),meet(meet(X_2,X_3),X_2)) = meet(meet(X_2,X_3),X_2) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(join(meet(meet(X_2,X_3),meet(X_2,join(X_2,X_3))),meet(meet(X_2,X_3),X_2)))),bind(Y,$fot(join(meet(meet(X_2,X_3),X_2),meet(meet(X_2,X_3),X_2)))),bind(Z,$fot(meet(meet(X_2,X_3),X_2)))]]) ).
cnf(refute_0_580,plain,
( join(meet(meet(X_2,X_3),X_2),meet(meet(X_2,X_3),X_2)) != meet(meet(X_2,X_3),X_2)
| join(meet(meet(X_2,X_3),meet(X_2,join(X_2,X_3))),meet(meet(X_2,X_3),X_2)) = meet(meet(X_2,X_3),X_2) ),
inference(resolve,[$cnf( $equal(join(meet(meet(X_2,X_3),meet(X_2,join(X_2,X_3))),meet(meet(X_2,X_3),X_2)),join(meet(meet(X_2,X_3),X_2),meet(meet(X_2,X_3),X_2))) )],[refute_0_578,refute_0_579]) ).
cnf(refute_0_581,plain,
join(meet(meet(X_2,X_3),meet(X_2,join(X_2,X_3))),meet(meet(X_2,X_3),X_2)) = meet(meet(X_2,X_3),X_2),
inference(resolve,[$cnf( $equal(join(meet(meet(X_2,X_3),X_2),meet(meet(X_2,X_3),X_2)),meet(meet(X_2,X_3),X_2)) )],[refute_0_152,refute_0_580]) ).
cnf(refute_0_582,plain,
( join(meet(meet(X_2,X_3),meet(X_2,join(X_2,X_3))),meet(meet(X_2,X_3),X_2)) != meet(X_2,X_3)
| join(meet(meet(X_2,X_3),meet(X_2,join(X_2,X_3))),meet(meet(X_2,X_3),X_2)) != meet(meet(X_2,X_3),X_2)
| meet(meet(X_2,X_3),X_2) = meet(X_2,X_3) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(X_2,X_3),meet(X_2,join(X_2,X_3))),meet(meet(X_2,X_3),X_2)),meet(X_2,X_3)) ),[0],$fot(meet(meet(X_2,X_3),X_2))]]) ).
cnf(refute_0_583,plain,
( join(meet(meet(X_2,X_3),meet(X_2,join(X_2,X_3))),meet(meet(X_2,X_3),X_2)) != meet(X_2,X_3)
| meet(meet(X_2,X_3),X_2) = meet(X_2,X_3) ),
inference(resolve,[$cnf( $equal(join(meet(meet(X_2,X_3),meet(X_2,join(X_2,X_3))),meet(meet(X_2,X_3),X_2)),meet(meet(X_2,X_3),X_2)) )],[refute_0_581,refute_0_582]) ).
cnf(refute_0_584,plain,
meet(meet(X_2,X_3),X_2) = meet(X_2,X_3),
inference(resolve,[$cnf( $equal(join(meet(meet(X_2,X_3),meet(X_2,join(X_2,X_3))),meet(meet(X_2,X_3),X_2)),meet(X_2,X_3)) )],[refute_0_151,refute_0_583]) ).
cnf(refute_0_585,plain,
meet(meet(X_79,X_3),X_79) = meet(X_79,X_3),
inference(subst,[],[refute_0_584:[bind(X_2,$fot(X_79))]]) ).
cnf(refute_0_586,plain,
( join(X_79,meet(meet(X_79,X_3),X_79)) != X_79
| meet(meet(X_79,X_3),X_79) != meet(X_79,X_3)
| join(X_79,meet(X_79,X_3)) = X_79 ),
introduced(tautology,[equality,[$cnf( $equal(join(X_79,meet(meet(X_79,X_3),X_79)),X_79) ),[0,1],$fot(meet(X_79,X_3))]]) ).
cnf(refute_0_587,plain,
( join(X_79,meet(meet(X_79,X_3),X_79)) != X_79
| join(X_79,meet(X_79,X_3)) = X_79 ),
inference(resolve,[$cnf( $equal(meet(meet(X_79,X_3),X_79),meet(X_79,X_3)) )],[refute_0_585,refute_0_586]) ).
cnf(refute_0_588,plain,
join(X_79,meet(X_79,X_3)) = X_79,
inference(resolve,[$cnf( $equal(join(X_79,meet(meet(X_79,X_3),X_79)),X_79) )],[refute_0_146,refute_0_587]) ).
cnf(refute_0_589,plain,
join(A,meet(A,B)) = A,
inference(subst,[],[refute_0_588:[bind(X_3,$fot(B)),bind(X_79,$fot(A))]]) ).
cnf(refute_0_590,plain,
( join(A,meet(A,B)) != A
| meet(meet(B,join(A,meet(A,B))),meet(A,B)) != meet(A,B)
| meet(meet(B,A),meet(A,B)) = meet(A,B) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(B,join(A,meet(A,B))),meet(A,B)),meet(A,B)) ),[0,0,1],$fot(A)]]) ).
cnf(refute_0_591,plain,
( meet(meet(B,join(A,meet(A,B))),meet(A,B)) != meet(A,B)
| meet(meet(B,A),meet(A,B)) = meet(A,B) ),
inference(resolve,[$cnf( $equal(join(A,meet(A,B)),A) )],[refute_0_589,refute_0_590]) ).
cnf(refute_0_592,plain,
meet(meet(B,A),meet(A,B)) = meet(A,B),
inference(resolve,[$cnf( $equal(meet(meet(B,join(A,meet(A,B))),meet(A,B)),meet(A,B)) )],[refute_0_4,refute_0_591]) ).
cnf(refute_0_593,plain,
meet(meet(meet(X_88,X_89),meet(X_89,X_88)),meet(meet(X_89,X_88),meet(X_88,X_89))) = meet(meet(X_89,X_88),meet(X_88,X_89)),
inference(subst,[],[refute_0_592:[bind(A,$fot(meet(X_89,X_88))),bind(B,$fot(meet(X_88,X_89)))]]) ).
cnf(refute_0_594,plain,
meet(meet(X_89,X_88),meet(X_88,X_89)) = meet(X_88,X_89),
inference(subst,[],[refute_0_592:[bind(A,$fot(X_88)),bind(B,$fot(X_89))]]) ).
cnf(refute_0_595,plain,
( meet(meet(X_89,X_88),meet(X_88,X_89)) != meet(X_88,X_89)
| meet(meet(meet(X_88,X_89),meet(X_89,X_88)),meet(meet(X_89,X_88),meet(X_88,X_89))) != meet(meet(X_89,X_88),meet(X_88,X_89))
| meet(meet(meet(X_88,X_89),meet(X_89,X_88)),meet(X_88,X_89)) = meet(meet(X_89,X_88),meet(X_88,X_89)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(meet(X_88,X_89),meet(X_89,X_88)),meet(meet(X_89,X_88),meet(X_88,X_89))),meet(meet(X_89,X_88),meet(X_88,X_89))) ),[0,1],$fot(meet(X_88,X_89))]]) ).
cnf(refute_0_596,plain,
( meet(meet(meet(X_88,X_89),meet(X_89,X_88)),meet(meet(X_89,X_88),meet(X_88,X_89))) != meet(meet(X_89,X_88),meet(X_88,X_89))
| meet(meet(meet(X_88,X_89),meet(X_89,X_88)),meet(X_88,X_89)) = meet(meet(X_89,X_88),meet(X_88,X_89)) ),
inference(resolve,[$cnf( $equal(meet(meet(X_89,X_88),meet(X_88,X_89)),meet(X_88,X_89)) )],[refute_0_594,refute_0_595]) ).
cnf(refute_0_597,plain,
meet(meet(meet(X_88,X_89),meet(X_89,X_88)),meet(X_88,X_89)) = meet(meet(X_89,X_88),meet(X_88,X_89)),
inference(resolve,[$cnf( $equal(meet(meet(meet(X_88,X_89),meet(X_89,X_88)),meet(meet(X_89,X_88),meet(X_88,X_89))),meet(meet(X_89,X_88),meet(X_88,X_89))) )],[refute_0_593,refute_0_596]) ).
cnf(refute_0_598,plain,
meet(meet(X_88,X_89),meet(X_89,X_88)) = meet(X_89,X_88),
inference(subst,[],[refute_0_592:[bind(A,$fot(X_89)),bind(B,$fot(X_88))]]) ).
cnf(refute_0_599,plain,
meet(meet(meet(X_88,X_89),meet(X_89,X_88)),meet(X_88,X_89)) = meet(meet(X_88,X_89),meet(X_89,X_88)),
inference(subst,[],[refute_0_584:[bind(X_2,$fot(meet(X_88,X_89))),bind(X_3,$fot(meet(X_89,X_88)))]]) ).
cnf(refute_0_600,plain,
( meet(meet(X_88,X_89),meet(X_89,X_88)) != meet(X_89,X_88)
| meet(meet(meet(X_88,X_89),meet(X_89,X_88)),meet(X_88,X_89)) != meet(meet(X_88,X_89),meet(X_89,X_88))
| meet(meet(meet(X_88,X_89),meet(X_89,X_88)),meet(X_88,X_89)) = meet(X_89,X_88) ),
inference(subst,[],[refute_0_27:[bind(X,$fot(meet(meet(meet(X_88,X_89),meet(X_89,X_88)),meet(X_88,X_89)))),bind(Y,$fot(meet(meet(X_88,X_89),meet(X_89,X_88)))),bind(Z,$fot(meet(X_89,X_88)))]]) ).
cnf(refute_0_601,plain,
( meet(meet(X_88,X_89),meet(X_89,X_88)) != meet(X_89,X_88)
| meet(meet(meet(X_88,X_89),meet(X_89,X_88)),meet(X_88,X_89)) = meet(X_89,X_88) ),
inference(resolve,[$cnf( $equal(meet(meet(meet(X_88,X_89),meet(X_89,X_88)),meet(X_88,X_89)),meet(meet(X_88,X_89),meet(X_89,X_88))) )],[refute_0_599,refute_0_600]) ).
cnf(refute_0_602,plain,
meet(meet(meet(X_88,X_89),meet(X_89,X_88)),meet(X_88,X_89)) = meet(X_89,X_88),
inference(resolve,[$cnf( $equal(meet(meet(X_88,X_89),meet(X_89,X_88)),meet(X_89,X_88)) )],[refute_0_598,refute_0_601]) ).
cnf(refute_0_603,plain,
( meet(meet(meet(X_88,X_89),meet(X_89,X_88)),meet(X_88,X_89)) != meet(X_89,X_88)
| meet(meet(meet(X_88,X_89),meet(X_89,X_88)),meet(X_88,X_89)) != meet(meet(X_89,X_88),meet(X_88,X_89))
| meet(X_89,X_88) = meet(meet(X_89,X_88),meet(X_88,X_89)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(meet(X_88,X_89),meet(X_89,X_88)),meet(X_88,X_89)),meet(meet(X_89,X_88),meet(X_88,X_89))) ),[0],$fot(meet(X_89,X_88))]]) ).
cnf(refute_0_604,plain,
( meet(meet(meet(X_88,X_89),meet(X_89,X_88)),meet(X_88,X_89)) != meet(meet(X_89,X_88),meet(X_88,X_89))
| meet(X_89,X_88) = meet(meet(X_89,X_88),meet(X_88,X_89)) ),
inference(resolve,[$cnf( $equal(meet(meet(meet(X_88,X_89),meet(X_89,X_88)),meet(X_88,X_89)),meet(X_89,X_88)) )],[refute_0_602,refute_0_603]) ).
cnf(refute_0_605,plain,
( meet(X_89,X_88) != meet(meet(X_89,X_88),meet(X_88,X_89))
| meet(meet(X_89,X_88),meet(X_88,X_89)) != meet(X_88,X_89)
| meet(X_89,X_88) = meet(X_88,X_89) ),
introduced(tautology,[equality,[$cnf( ~ $equal(meet(X_89,X_88),meet(X_88,X_89)) ),[0],$fot(meet(meet(X_89,X_88),meet(X_88,X_89)))]]) ).
cnf(refute_0_606,plain,
( meet(X_89,X_88) != meet(meet(X_89,X_88),meet(X_88,X_89))
| meet(X_89,X_88) = meet(X_88,X_89) ),
inference(resolve,[$cnf( $equal(meet(meet(X_89,X_88),meet(X_88,X_89)),meet(X_88,X_89)) )],[refute_0_594,refute_0_605]) ).
cnf(refute_0_607,plain,
( meet(meet(meet(X_88,X_89),meet(X_89,X_88)),meet(X_88,X_89)) != meet(meet(X_89,X_88),meet(X_88,X_89))
| meet(X_89,X_88) = meet(X_88,X_89) ),
inference(resolve,[$cnf( $equal(meet(X_89,X_88),meet(meet(X_89,X_88),meet(X_88,X_89))) )],[refute_0_604,refute_0_606]) ).
cnf(refute_0_608,plain,
meet(X_89,X_88) = meet(X_88,X_89),
inference(resolve,[$cnf( $equal(meet(meet(meet(X_88,X_89),meet(X_89,X_88)),meet(X_88,X_89)),meet(meet(X_89,X_88),meet(X_88,X_89))) )],[refute_0_597,refute_0_607]) ).
cnf(refute_0_609,plain,
( meet(X_89,X_88) != meet(X_88,X_89)
| meet(X_88,X_89) = meet(X_89,X_88) ),
inference(subst,[],[refute_0_25:[bind(X,$fot(meet(X_89,X_88))),bind(Y,$fot(meet(X_88,X_89)))]]) ).
cnf(refute_0_610,plain,
meet(X_88,X_89) = meet(X_89,X_88),
inference(resolve,[$cnf( $equal(meet(X_89,X_88),meet(X_88,X_89)) )],[refute_0_608,refute_0_609]) ).
cnf(refute_0_611,plain,
meet(b,a) = meet(a,b),
inference(subst,[],[refute_0_610:[bind(X_88,$fot(b)),bind(X_89,$fot(a))]]) ).
cnf(refute_0_612,plain,
( meet(a,b) != meet(a,b)
| meet(b,a) != meet(a,b)
| meet(b,a) = meet(a,b) ),
introduced(tautology,[equality,[$cnf( $equal(meet(b,a),meet(a,b)) ),[1],$fot(meet(a,b))]]) ).
cnf(refute_0_613,plain,
( meet(a,b) != meet(a,b)
| meet(b,a) = meet(a,b) ),
inference(resolve,[$cnf( $equal(meet(b,a),meet(a,b)) )],[refute_0_611,refute_0_612]) ).
cnf(refute_0_614,plain,
meet(a,b) != meet(a,b),
inference(resolve,[$cnf( $equal(meet(b,a),meet(a,b)) )],[refute_0_613,prove_normal_axioms_2]) ).
cnf(refute_0_615,plain,
meet(a,b) = meet(a,b),
introduced(tautology,[refl,[$fot(meet(a,b))]]) ).
cnf(refute_0_616,plain,
$false,
inference(resolve,[$cnf( $equal(meet(a,b),meet(a,b)) )],[refute_0_615,refute_0_614]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.09 % Problem : LAT089-1 : TPTP v8.1.0. Released v2.6.0.
% 0.08/0.09 % Command : metis --show proof --show saturation %s
% 0.08/0.28 % Computer : n008.cluster.edu
% 0.08/0.28 % Model : x86_64 x86_64
% 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28 % Memory : 8042.1875MB
% 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28 % CPULimit : 300
% 0.08/0.28 % WCLimit : 600
% 0.08/0.28 % DateTime : Thu Jun 30 01:53:08 EDT 2022
% 0.08/0.28 % CPUTime :
% 0.08/0.29 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.36/0.53 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.36/0.53
% 0.36/0.53 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.46/0.68
%------------------------------------------------------------------------------