TSTP Solution File: LAT029-1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : LAT029-1 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n004.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 05:58:59 EDT 2022
% Result : Unsatisfiable 0.92s 1.10s
% Output : CNFRefutation 1.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 109
% Number of leaves : 170
% Syntax : Number of clauses : 578 ( 280 unt; 0 nHn; 300 RR)
% Number of literals : 1019 (1018 equ; 448 neg)
% Maximal clause size : 4 ( 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 : 1197 ( 91 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(wal_absorbtion_1,axiom,
join(meet(X,Y),meet(X,join(X,Y))) = X ).
cnf(wal_absorbtion_2,axiom,
join(meet(X,X),meet(Y,join(X,X))) = X ).
cnf(wal_absorbtion_3,axiom,
join(meet(X,Y),meet(Y,join(X,Y))) = Y ).
cnf(wal_absorbtion_4,axiom,
meet(meet(join(X,Y),join(Z,X)),X) = X ).
cnf(wal_absorbtion_5,axiom,
join(join(meet(X,Y),meet(Z,X)),X) = X ).
cnf(prove_normal_axioms,negated_conjecture,
( meet(a,a) != a
| meet(b,a) != meet(a,b)
| join(a,a) != a
| join(b,a) != join(a,b) ) ).
cnf(refute_0_0,plain,
meet(meet(join(X,Y),join(join(meet(X,X_13),meet(X_14,X)),X)),X) = X,
inference(subst,[],[wal_absorbtion_4:[bind(Z,$fot(join(meet(X,X_13),meet(X_14,X))))]]) ).
cnf(refute_0_1,plain,
join(join(meet(X,X_13),meet(X_14,X)),X) = X,
inference(subst,[],[wal_absorbtion_5:[bind(Y,$fot(X_13)),bind(Z,$fot(X_14))]]) ).
cnf(refute_0_2,plain,
( join(join(meet(X,X_13),meet(X_14,X)),X) != X
| meet(meet(join(X,Y),join(join(meet(X,X_13),meet(X_14,X)),X)),X) != X
| meet(meet(join(X,Y),X),X) = X ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(join(X,Y),join(join(meet(X,X_13),meet(X_14,X)),X)),X),X) ),[0,0,1],$fot(X)]]) ).
cnf(refute_0_3,plain,
( meet(meet(join(X,Y),join(join(meet(X,X_13),meet(X_14,X)),X)),X) != X
| meet(meet(join(X,Y),X),X) = X ),
inference(resolve,[$cnf( $equal(join(join(meet(X,X_13),meet(X_14,X)),X),X) )],[refute_0_1,refute_0_2]) ).
cnf(refute_0_4,plain,
meet(meet(join(X,Y),X),X) = X,
inference(resolve,[$cnf( $equal(meet(meet(join(X,Y),join(join(meet(X,X_13),meet(X_14,X)),X)),X),X) )],[refute_0_0,refute_0_3]) ).
cnf(refute_0_5,plain,
meet(meet(join(meet(X,Y),meet(X,join(X,Y))),meet(X,Y)),meet(X,Y)) = meet(X,Y),
inference(subst,[],[refute_0_4:[bind(X,$fot(meet(X,Y))),bind(Y,$fot(meet(X,join(X,Y))))]]) ).
cnf(refute_0_6,plain,
( join(meet(X,Y),meet(X,join(X,Y))) != X
| meet(meet(join(meet(X,Y),meet(X,join(X,Y))),meet(X,Y)),meet(X,Y)) != meet(X,Y)
| meet(meet(X,meet(X,Y)),meet(X,Y)) = meet(X,Y) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(join(meet(X,Y),meet(X,join(X,Y))),meet(X,Y)),meet(X,Y)),meet(X,Y)) ),[0,0,0],$fot(X)]]) ).
cnf(refute_0_7,plain,
( meet(meet(join(meet(X,Y),meet(X,join(X,Y))),meet(X,Y)),meet(X,Y)) != meet(X,Y)
| meet(meet(X,meet(X,Y)),meet(X,Y)) = meet(X,Y) ),
inference(resolve,[$cnf( $equal(join(meet(X,Y),meet(X,join(X,Y))),X) )],[wal_absorbtion_1,refute_0_6]) ).
cnf(refute_0_8,plain,
meet(meet(X,meet(X,Y)),meet(X,Y)) = meet(X,Y),
inference(resolve,[$cnf( $equal(meet(meet(join(meet(X,Y),meet(X,join(X,Y))),meet(X,Y)),meet(X,Y)),meet(X,Y)) )],[refute_0_5,refute_0_7]) ).
cnf(refute_0_9,plain,
meet(meet(meet(join(X_34,Y),join(Z,X_34)),meet(meet(join(X_34,Y),join(Z,X_34)),X_34)),meet(meet(join(X_34,Y),join(Z,X_34)),X_34)) = meet(meet(join(X_34,Y),join(Z,X_34)),X_34),
inference(subst,[],[refute_0_8:[bind(X,$fot(meet(join(X_34,Y),join(Z,X_34)))),bind(Y,$fot(X_34))]]) ).
cnf(refute_0_10,plain,
meet(meet(join(X_34,Y),join(Z,X_34)),X_34) = X_34,
inference(subst,[],[wal_absorbtion_4:[bind(X,$fot(X_34))]]) ).
cnf(refute_0_11,plain,
( meet(meet(join(X_34,Y),join(Z,X_34)),X_34) != X_34
| meet(meet(meet(join(X_34,Y),join(Z,X_34)),meet(meet(join(X_34,Y),join(Z,X_34)),X_34)),meet(meet(join(X_34,Y),join(Z,X_34)),X_34)) != meet(meet(join(X_34,Y),join(Z,X_34)),X_34)
| meet(meet(meet(join(X_34,Y),join(Z,X_34)),meet(meet(join(X_34,Y),join(Z,X_34)),X_34)),X_34) = meet(meet(join(X_34,Y),join(Z,X_34)),X_34) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(meet(join(X_34,Y),join(Z,X_34)),meet(meet(join(X_34,Y),join(Z,X_34)),X_34)),meet(meet(join(X_34,Y),join(Z,X_34)),X_34)),meet(meet(join(X_34,Y),join(Z,X_34)),X_34)) ),[0,1],$fot(X_34)]]) ).
cnf(refute_0_12,plain,
( meet(meet(meet(join(X_34,Y),join(Z,X_34)),meet(meet(join(X_34,Y),join(Z,X_34)),X_34)),meet(meet(join(X_34,Y),join(Z,X_34)),X_34)) != meet(meet(join(X_34,Y),join(Z,X_34)),X_34)
| meet(meet(meet(join(X_34,Y),join(Z,X_34)),meet(meet(join(X_34,Y),join(Z,X_34)),X_34)),X_34) = meet(meet(join(X_34,Y),join(Z,X_34)),X_34) ),
inference(resolve,[$cnf( $equal(meet(meet(join(X_34,Y),join(Z,X_34)),X_34),X_34) )],[refute_0_10,refute_0_11]) ).
cnf(refute_0_13,plain,
meet(meet(meet(join(X_34,Y),join(Z,X_34)),meet(meet(join(X_34,Y),join(Z,X_34)),X_34)),X_34) = meet(meet(join(X_34,Y),join(Z,X_34)),X_34),
inference(resolve,[$cnf( $equal(meet(meet(meet(join(X_34,Y),join(Z,X_34)),meet(meet(join(X_34,Y),join(Z,X_34)),X_34)),meet(meet(join(X_34,Y),join(Z,X_34)),X_34)),meet(meet(join(X_34,Y),join(Z,X_34)),X_34)) )],[refute_0_9,refute_0_12]) ).
cnf(refute_0_14,plain,
meet(meet(join(X_34,Y),join(Z,X_34)),meet(meet(join(X_34,Y),join(Z,X_34)),X_34)) = meet(meet(join(X_34,Y),join(Z,X_34)),meet(meet(join(X_34,Y),join(Z,X_34)),X_34)),
introduced(tautology,[refl,[$fot(meet(meet(join(X_34,Y),join(Z,X_34)),meet(meet(join(X_34,Y),join(Z,X_34)),X_34)))]]) ).
cnf(refute_0_15,plain,
( meet(meet(join(X_34,Y),join(Z,X_34)),X_34) != X_34
| meet(meet(join(X_34,Y),join(Z,X_34)),meet(meet(join(X_34,Y),join(Z,X_34)),X_34)) != meet(meet(join(X_34,Y),join(Z,X_34)),meet(meet(join(X_34,Y),join(Z,X_34)),X_34))
| meet(meet(join(X_34,Y),join(Z,X_34)),meet(meet(join(X_34,Y),join(Z,X_34)),X_34)) = meet(meet(join(X_34,Y),join(Z,X_34)),X_34) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(join(X_34,Y),join(Z,X_34)),meet(meet(join(X_34,Y),join(Z,X_34)),X_34)),meet(meet(join(X_34,Y),join(Z,X_34)),meet(meet(join(X_34,Y),join(Z,X_34)),X_34))) ),[1,1],$fot(X_34)]]) ).
cnf(refute_0_16,plain,
( meet(meet(join(X_34,Y),join(Z,X_34)),X_34) != X_34
| meet(meet(join(X_34,Y),join(Z,X_34)),meet(meet(join(X_34,Y),join(Z,X_34)),X_34)) = meet(meet(join(X_34,Y),join(Z,X_34)),X_34) ),
inference(resolve,[$cnf( $equal(meet(meet(join(X_34,Y),join(Z,X_34)),meet(meet(join(X_34,Y),join(Z,X_34)),X_34)),meet(meet(join(X_34,Y),join(Z,X_34)),meet(meet(join(X_34,Y),join(Z,X_34)),X_34))) )],[refute_0_14,refute_0_15]) ).
cnf(refute_0_17,plain,
meet(meet(join(X_34,Y),join(Z,X_34)),meet(meet(join(X_34,Y),join(Z,X_34)),X_34)) = meet(meet(join(X_34,Y),join(Z,X_34)),X_34),
inference(resolve,[$cnf( $equal(meet(meet(join(X_34,Y),join(Z,X_34)),X_34),X_34) )],[refute_0_10,refute_0_16]) ).
cnf(refute_0_18,plain,
X0 = X0,
introduced(tautology,[refl,[$fot(X0)]]) ).
cnf(refute_0_19,plain,
( X0 != X0
| X0 != Y0
| Y0 = X0 ),
introduced(tautology,[equality,[$cnf( $equal(X0,X0) ),[0],$fot(Y0)]]) ).
cnf(refute_0_20,plain,
( X0 != Y0
| Y0 = X0 ),
inference(resolve,[$cnf( $equal(X0,X0) )],[refute_0_18,refute_0_19]) ).
cnf(refute_0_21,plain,
( Y0 != X0
| Y0 != Z0
| X0 = Z0 ),
introduced(tautology,[equality,[$cnf( $equal(Y0,Z0) ),[0],$fot(X0)]]) ).
cnf(refute_0_22,plain,
( X0 != Y0
| Y0 != Z0
| X0 = Z0 ),
inference(resolve,[$cnf( $equal(Y0,X0) )],[refute_0_20,refute_0_21]) ).
cnf(refute_0_23,plain,
( meet(meet(join(X_34,Y),join(Z,X_34)),X_34) != X_34
| meet(meet(join(X_34,Y),join(Z,X_34)),meet(meet(join(X_34,Y),join(Z,X_34)),X_34)) != meet(meet(join(X_34,Y),join(Z,X_34)),X_34)
| meet(meet(join(X_34,Y),join(Z,X_34)),meet(meet(join(X_34,Y),join(Z,X_34)),X_34)) = X_34 ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(meet(meet(join(X_34,Y),join(Z,X_34)),meet(meet(join(X_34,Y),join(Z,X_34)),X_34)))),bind(Y0,$fot(meet(meet(join(X_34,Y),join(Z,X_34)),X_34))),bind(Z0,$fot(X_34))]]) ).
cnf(refute_0_24,plain,
( meet(meet(join(X_34,Y),join(Z,X_34)),X_34) != X_34
| meet(meet(join(X_34,Y),join(Z,X_34)),meet(meet(join(X_34,Y),join(Z,X_34)),X_34)) = X_34 ),
inference(resolve,[$cnf( $equal(meet(meet(join(X_34,Y),join(Z,X_34)),meet(meet(join(X_34,Y),join(Z,X_34)),X_34)),meet(meet(join(X_34,Y),join(Z,X_34)),X_34)) )],[refute_0_17,refute_0_23]) ).
cnf(refute_0_25,plain,
meet(meet(join(X_34,Y),join(Z,X_34)),meet(meet(join(X_34,Y),join(Z,X_34)),X_34)) = X_34,
inference(resolve,[$cnf( $equal(meet(meet(join(X_34,Y),join(Z,X_34)),X_34),X_34) )],[refute_0_10,refute_0_24]) ).
cnf(refute_0_26,plain,
meet(meet(meet(join(X_34,Y),join(Z,X_34)),meet(meet(join(X_34,Y),join(Z,X_34)),X_34)),X_34) = meet(meet(meet(join(X_34,Y),join(Z,X_34)),meet(meet(join(X_34,Y),join(Z,X_34)),X_34)),X_34),
introduced(tautology,[refl,[$fot(meet(meet(meet(join(X_34,Y),join(Z,X_34)),meet(meet(join(X_34,Y),join(Z,X_34)),X_34)),X_34))]]) ).
cnf(refute_0_27,plain,
( meet(meet(join(X_34,Y),join(Z,X_34)),meet(meet(join(X_34,Y),join(Z,X_34)),X_34)) != X_34
| meet(meet(meet(join(X_34,Y),join(Z,X_34)),meet(meet(join(X_34,Y),join(Z,X_34)),X_34)),X_34) != meet(meet(meet(join(X_34,Y),join(Z,X_34)),meet(meet(join(X_34,Y),join(Z,X_34)),X_34)),X_34)
| meet(meet(meet(join(X_34,Y),join(Z,X_34)),meet(meet(join(X_34,Y),join(Z,X_34)),X_34)),X_34) = meet(X_34,X_34) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(meet(join(X_34,Y),join(Z,X_34)),meet(meet(join(X_34,Y),join(Z,X_34)),X_34)),X_34),meet(meet(meet(join(X_34,Y),join(Z,X_34)),meet(meet(join(X_34,Y),join(Z,X_34)),X_34)),X_34)) ),[1,0],$fot(X_34)]]) ).
cnf(refute_0_28,plain,
( meet(meet(join(X_34,Y),join(Z,X_34)),meet(meet(join(X_34,Y),join(Z,X_34)),X_34)) != X_34
| meet(meet(meet(join(X_34,Y),join(Z,X_34)),meet(meet(join(X_34,Y),join(Z,X_34)),X_34)),X_34) = meet(X_34,X_34) ),
inference(resolve,[$cnf( $equal(meet(meet(meet(join(X_34,Y),join(Z,X_34)),meet(meet(join(X_34,Y),join(Z,X_34)),X_34)),X_34),meet(meet(meet(join(X_34,Y),join(Z,X_34)),meet(meet(join(X_34,Y),join(Z,X_34)),X_34)),X_34)) )],[refute_0_26,refute_0_27]) ).
cnf(refute_0_29,plain,
meet(meet(meet(join(X_34,Y),join(Z,X_34)),meet(meet(join(X_34,Y),join(Z,X_34)),X_34)),X_34) = meet(X_34,X_34),
inference(resolve,[$cnf( $equal(meet(meet(join(X_34,Y),join(Z,X_34)),meet(meet(join(X_34,Y),join(Z,X_34)),X_34)),X_34) )],[refute_0_25,refute_0_28]) ).
cnf(refute_0_30,plain,
( meet(meet(meet(join(X_34,Y),join(Z,X_34)),meet(meet(join(X_34,Y),join(Z,X_34)),X_34)),X_34) != meet(X_34,X_34)
| meet(meet(meet(join(X_34,Y),join(Z,X_34)),meet(meet(join(X_34,Y),join(Z,X_34)),X_34)),X_34) != meet(meet(join(X_34,Y),join(Z,X_34)),X_34)
| meet(X_34,X_34) = meet(meet(join(X_34,Y),join(Z,X_34)),X_34) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(meet(join(X_34,Y),join(Z,X_34)),meet(meet(join(X_34,Y),join(Z,X_34)),X_34)),X_34),meet(meet(join(X_34,Y),join(Z,X_34)),X_34)) ),[0],$fot(meet(X_34,X_34))]]) ).
cnf(refute_0_31,plain,
( meet(meet(meet(join(X_34,Y),join(Z,X_34)),meet(meet(join(X_34,Y),join(Z,X_34)),X_34)),X_34) != meet(meet(join(X_34,Y),join(Z,X_34)),X_34)
| meet(X_34,X_34) = meet(meet(join(X_34,Y),join(Z,X_34)),X_34) ),
inference(resolve,[$cnf( $equal(meet(meet(meet(join(X_34,Y),join(Z,X_34)),meet(meet(join(X_34,Y),join(Z,X_34)),X_34)),X_34),meet(X_34,X_34)) )],[refute_0_29,refute_0_30]) ).
cnf(refute_0_32,plain,
( meet(X_34,X_34) != meet(meet(join(X_34,Y),join(Z,X_34)),X_34)
| meet(meet(join(X_34,Y),join(Z,X_34)),X_34) != X_34
| meet(X_34,X_34) = X_34 ),
introduced(tautology,[equality,[$cnf( ~ $equal(meet(X_34,X_34),X_34) ),[0],$fot(meet(meet(join(X_34,Y),join(Z,X_34)),X_34))]]) ).
cnf(refute_0_33,plain,
( meet(X_34,X_34) != meet(meet(join(X_34,Y),join(Z,X_34)),X_34)
| meet(X_34,X_34) = X_34 ),
inference(resolve,[$cnf( $equal(meet(meet(join(X_34,Y),join(Z,X_34)),X_34),X_34) )],[refute_0_10,refute_0_32]) ).
cnf(refute_0_34,plain,
( meet(meet(meet(join(X_34,Y),join(Z,X_34)),meet(meet(join(X_34,Y),join(Z,X_34)),X_34)),X_34) != meet(meet(join(X_34,Y),join(Z,X_34)),X_34)
| meet(X_34,X_34) = X_34 ),
inference(resolve,[$cnf( $equal(meet(X_34,X_34),meet(meet(join(X_34,Y),join(Z,X_34)),X_34)) )],[refute_0_31,refute_0_33]) ).
cnf(refute_0_35,plain,
meet(X_34,X_34) = X_34,
inference(resolve,[$cnf( $equal(meet(meet(meet(join(X_34,Y),join(Z,X_34)),meet(meet(join(X_34,Y),join(Z,X_34)),X_34)),X_34),meet(meet(join(X_34,Y),join(Z,X_34)),X_34)) )],[refute_0_13,refute_0_34]) ).
cnf(refute_0_36,plain,
meet(a,a) = a,
inference(subst,[],[refute_0_35:[bind(X_34,$fot(a))]]) ).
cnf(refute_0_37,plain,
( a != a
| meet(a,a) != a
| meet(a,a) = a ),
introduced(tautology,[equality,[$cnf( $equal(meet(a,a),a) ),[0,0],$fot(a)]]) ).
cnf(refute_0_38,plain,
( a != a
| meet(a,a) = a ),
inference(resolve,[$cnf( $equal(meet(a,a),a) )],[refute_0_36,refute_0_37]) ).
cnf(refute_0_39,plain,
( a != a
| join(a,a) != a
| join(b,a) != join(a,b)
| meet(b,a) != meet(a,b) ),
inference(resolve,[$cnf( $equal(meet(a,a),a) )],[refute_0_38,prove_normal_axioms]) ).
cnf(refute_0_40,plain,
join(meet(meet(X_0,X_1),meet(X_0,join(X_0,X_1))),meet(meet(X_0,X_1),join(meet(X_0,X_1),meet(X_0,join(X_0,X_1))))) = meet(X_0,X_1),
inference(subst,[],[wal_absorbtion_1:[bind(X,$fot(meet(X_0,X_1))),bind(Y,$fot(meet(X_0,join(X_0,X_1))))]]) ).
cnf(refute_0_41,plain,
join(meet(X_0,X_1),meet(X_0,join(X_0,X_1))) = X_0,
inference(subst,[],[wal_absorbtion_1:[bind(X,$fot(X_0)),bind(Y,$fot(X_1))]]) ).
cnf(refute_0_42,plain,
( join(meet(X_0,X_1),meet(X_0,join(X_0,X_1))) != X_0
| join(meet(meet(X_0,X_1),meet(X_0,join(X_0,X_1))),meet(meet(X_0,X_1),join(meet(X_0,X_1),meet(X_0,join(X_0,X_1))))) != meet(X_0,X_1)
| join(meet(meet(X_0,X_1),meet(X_0,join(X_0,X_1))),meet(meet(X_0,X_1),X_0)) = meet(X_0,X_1) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(X_0,X_1),meet(X_0,join(X_0,X_1))),meet(meet(X_0,X_1),join(meet(X_0,X_1),meet(X_0,join(X_0,X_1))))),meet(X_0,X_1)) ),[0,1,1],$fot(X_0)]]) ).
cnf(refute_0_43,plain,
( join(meet(meet(X_0,X_1),meet(X_0,join(X_0,X_1))),meet(meet(X_0,X_1),join(meet(X_0,X_1),meet(X_0,join(X_0,X_1))))) != meet(X_0,X_1)
| join(meet(meet(X_0,X_1),meet(X_0,join(X_0,X_1))),meet(meet(X_0,X_1),X_0)) = meet(X_0,X_1) ),
inference(resolve,[$cnf( $equal(join(meet(X_0,X_1),meet(X_0,join(X_0,X_1))),X_0) )],[refute_0_41,refute_0_42]) ).
cnf(refute_0_44,plain,
join(meet(meet(X_0,X_1),meet(X_0,join(X_0,X_1))),meet(meet(X_0,X_1),X_0)) = meet(X_0,X_1),
inference(resolve,[$cnf( $equal(join(meet(meet(X_0,X_1),meet(X_0,join(X_0,X_1))),meet(meet(X_0,X_1),join(meet(X_0,X_1),meet(X_0,join(X_0,X_1))))),meet(X_0,X_1)) )],[refute_0_40,refute_0_43]) ).
cnf(refute_0_45,plain,
join(meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(meet(X_11,X_11),join(meet(X_11,X_11),join(X_11,X_11)))),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))) = meet(meet(X_11,X_11),join(X_11,X_11)),
inference(subst,[],[refute_0_44:[bind(X_0,$fot(meet(X_11,X_11))),bind(X_1,$fot(join(X_11,X_11)))]]) ).
cnf(refute_0_46,plain,
join(meet(X,X),meet(meet(join(join(X,X),X_9),join(X_10,join(X,X))),join(X,X))) = X,
inference(subst,[],[wal_absorbtion_2:[bind(Y,$fot(meet(join(join(X,X),X_9),join(X_10,join(X,X)))))]]) ).
cnf(refute_0_47,plain,
meet(meet(join(join(X,X),X_9),join(X_10,join(X,X))),join(X,X)) = join(X,X),
inference(subst,[],[wal_absorbtion_4:[bind(X,$fot(join(X,X))),bind(Y,$fot(X_9)),bind(Z,$fot(X_10))]]) ).
cnf(refute_0_48,plain,
( join(meet(X,X),meet(meet(join(join(X,X),X_9),join(X_10,join(X,X))),join(X,X))) != X
| meet(meet(join(join(X,X),X_9),join(X_10,join(X,X))),join(X,X)) != join(X,X)
| join(meet(X,X),join(X,X)) = X ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X,X),meet(meet(join(join(X,X),X_9),join(X_10,join(X,X))),join(X,X))),X) ),[0,1],$fot(join(X,X))]]) ).
cnf(refute_0_49,plain,
( join(meet(X,X),meet(meet(join(join(X,X),X_9),join(X_10,join(X,X))),join(X,X))) != X
| join(meet(X,X),join(X,X)) = X ),
inference(resolve,[$cnf( $equal(meet(meet(join(join(X,X),X_9),join(X_10,join(X,X))),join(X,X)),join(X,X)) )],[refute_0_47,refute_0_48]) ).
cnf(refute_0_50,plain,
join(meet(X,X),join(X,X)) = X,
inference(resolve,[$cnf( $equal(join(meet(X,X),meet(meet(join(join(X,X),X_9),join(X_10,join(X,X))),join(X,X))),X) )],[refute_0_46,refute_0_49]) ).
cnf(refute_0_51,plain,
join(meet(X_11,X_11),join(X_11,X_11)) = X_11,
inference(subst,[],[refute_0_50:[bind(X,$fot(X_11))]]) ).
cnf(refute_0_52,plain,
( join(meet(X_11,X_11),join(X_11,X_11)) != X_11
| join(meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(meet(X_11,X_11),join(meet(X_11,X_11),join(X_11,X_11)))),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))) != meet(meet(X_11,X_11),join(X_11,X_11))
| join(meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(meet(X_11,X_11),X_11)),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))) = meet(meet(X_11,X_11),join(X_11,X_11)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(meet(X_11,X_11),join(meet(X_11,X_11),join(X_11,X_11)))),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))),meet(meet(X_11,X_11),join(X_11,X_11))) ),[0,0,1,1],$fot(X_11)]]) ).
cnf(refute_0_53,plain,
( join(meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(meet(X_11,X_11),join(meet(X_11,X_11),join(X_11,X_11)))),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))) != meet(meet(X_11,X_11),join(X_11,X_11))
| join(meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(meet(X_11,X_11),X_11)),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))) = meet(meet(X_11,X_11),join(X_11,X_11)) ),
inference(resolve,[$cnf( $equal(join(meet(X_11,X_11),join(X_11,X_11)),X_11) )],[refute_0_51,refute_0_52]) ).
cnf(refute_0_54,plain,
join(meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(meet(X_11,X_11),X_11)),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))) = meet(meet(X_11,X_11),join(X_11,X_11)),
inference(resolve,[$cnf( $equal(join(meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(meet(X_11,X_11),join(meet(X_11,X_11),join(X_11,X_11)))),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))),meet(meet(X_11,X_11),join(X_11,X_11))) )],[refute_0_45,refute_0_53]) ).
cnf(refute_0_55,plain,
meet(meet(join(X,meet(X,join(meet(join(X,X_26),X),X))),X),X) = X,
inference(subst,[],[refute_0_4:[bind(Y,$fot(meet(X,join(meet(join(X,X_26),X),X))))]]) ).
cnf(refute_0_56,plain,
join(meet(meet(join(Y,X_16),Y),Y),meet(Y,join(meet(join(Y,X_16),Y),Y))) = Y,
inference(subst,[],[wal_absorbtion_3:[bind(X,$fot(meet(join(Y,X_16),Y)))]]) ).
cnf(refute_0_57,plain,
meet(meet(join(Y,X_16),Y),Y) = Y,
inference(subst,[],[refute_0_4:[bind(X,$fot(Y)),bind(Y,$fot(X_16))]]) ).
cnf(refute_0_58,plain,
( join(meet(meet(join(Y,X_16),Y),Y),meet(Y,join(meet(join(Y,X_16),Y),Y))) != Y
| meet(meet(join(Y,X_16),Y),Y) != Y
| join(Y,meet(Y,join(meet(join(Y,X_16),Y),Y))) = Y ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(join(Y,X_16),Y),Y),meet(Y,join(meet(join(Y,X_16),Y),Y))),Y) ),[0,0],$fot(Y)]]) ).
cnf(refute_0_59,plain,
( join(meet(meet(join(Y,X_16),Y),Y),meet(Y,join(meet(join(Y,X_16),Y),Y))) != Y
| join(Y,meet(Y,join(meet(join(Y,X_16),Y),Y))) = Y ),
inference(resolve,[$cnf( $equal(meet(meet(join(Y,X_16),Y),Y),Y) )],[refute_0_57,refute_0_58]) ).
cnf(refute_0_60,plain,
join(Y,meet(Y,join(meet(join(Y,X_16),Y),Y))) = Y,
inference(resolve,[$cnf( $equal(join(meet(meet(join(Y,X_16),Y),Y),meet(Y,join(meet(join(Y,X_16),Y),Y))),Y) )],[refute_0_56,refute_0_59]) ).
cnf(refute_0_61,plain,
join(X,meet(X,join(meet(join(X,X_26),X),X))) = X,
inference(subst,[],[refute_0_60:[bind(Y,$fot(X)),bind(X_16,$fot(X_26))]]) ).
cnf(refute_0_62,plain,
( join(X,meet(X,join(meet(join(X,X_26),X),X))) != X
| meet(meet(join(X,meet(X,join(meet(join(X,X_26),X),X))),X),X) != X
| meet(meet(X,X),X) = X ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(join(X,meet(X,join(meet(join(X,X_26),X),X))),X),X),X) ),[0,0,0],$fot(X)]]) ).
cnf(refute_0_63,plain,
( meet(meet(join(X,meet(X,join(meet(join(X,X_26),X),X))),X),X) != X
| meet(meet(X,X),X) = X ),
inference(resolve,[$cnf( $equal(join(X,meet(X,join(meet(join(X,X_26),X),X))),X) )],[refute_0_61,refute_0_62]) ).
cnf(refute_0_64,plain,
meet(meet(X,X),X) = X,
inference(resolve,[$cnf( $equal(meet(meet(join(X,meet(X,join(meet(join(X,X_26),X),X))),X),X),X) )],[refute_0_55,refute_0_63]) ).
cnf(refute_0_65,plain,
meet(meet(X_11,X_11),X_11) = X_11,
inference(subst,[],[refute_0_64:[bind(X,$fot(X_11))]]) ).
cnf(refute_0_66,plain,
meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(meet(X_11,X_11),X_11)) = meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(meet(X_11,X_11),X_11)),
introduced(tautology,[refl,[$fot(meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(meet(X_11,X_11),X_11)))]]) ).
cnf(refute_0_67,plain,
( meet(meet(X_11,X_11),X_11) != X_11
| meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(meet(X_11,X_11),X_11)) != meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(meet(X_11,X_11),X_11))
| meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(meet(X_11,X_11),X_11)) = meet(meet(meet(X_11,X_11),join(X_11,X_11)),X_11) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(meet(X_11,X_11),X_11)),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(meet(X_11,X_11),X_11))) ),[1,1],$fot(X_11)]]) ).
cnf(refute_0_68,plain,
( meet(meet(X_11,X_11),X_11) != X_11
| meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(meet(X_11,X_11),X_11)) = meet(meet(meet(X_11,X_11),join(X_11,X_11)),X_11) ),
inference(resolve,[$cnf( $equal(meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(meet(X_11,X_11),X_11)),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(meet(X_11,X_11),X_11))) )],[refute_0_66,refute_0_67]) ).
cnf(refute_0_69,plain,
meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(meet(X_11,X_11),X_11)) = meet(meet(meet(X_11,X_11),join(X_11,X_11)),X_11),
inference(resolve,[$cnf( $equal(meet(meet(X_11,X_11),X_11),X_11) )],[refute_0_65,refute_0_68]) ).
cnf(refute_0_70,plain,
join(meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(meet(X_11,X_11),X_11)),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))) = join(meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(meet(X_11,X_11),X_11)),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))),
introduced(tautology,[refl,[$fot(join(meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(meet(X_11,X_11),X_11)),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))))]]) ).
cnf(refute_0_71,plain,
( join(meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(meet(X_11,X_11),X_11)),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))) != join(meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(meet(X_11,X_11),X_11)),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11)))
| meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(meet(X_11,X_11),X_11)) != meet(meet(meet(X_11,X_11),join(X_11,X_11)),X_11)
| join(meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(meet(X_11,X_11),X_11)),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))) = join(meet(meet(meet(X_11,X_11),join(X_11,X_11)),X_11),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(meet(X_11,X_11),X_11)),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))),join(meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(meet(X_11,X_11),X_11)),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11)))) ),[1,0],$fot(meet(meet(meet(X_11,X_11),join(X_11,X_11)),X_11))]]) ).
cnf(refute_0_72,plain,
( meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(meet(X_11,X_11),X_11)) != meet(meet(meet(X_11,X_11),join(X_11,X_11)),X_11)
| join(meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(meet(X_11,X_11),X_11)),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))) = join(meet(meet(meet(X_11,X_11),join(X_11,X_11)),X_11),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))) ),
inference(resolve,[$cnf( $equal(join(meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(meet(X_11,X_11),X_11)),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))),join(meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(meet(X_11,X_11),X_11)),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11)))) )],[refute_0_70,refute_0_71]) ).
cnf(refute_0_73,plain,
join(meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(meet(X_11,X_11),X_11)),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))) = join(meet(meet(meet(X_11,X_11),join(X_11,X_11)),X_11),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))),
inference(resolve,[$cnf( $equal(meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(meet(X_11,X_11),X_11)),meet(meet(meet(X_11,X_11),join(X_11,X_11)),X_11)) )],[refute_0_69,refute_0_72]) ).
cnf(refute_0_74,plain,
( join(meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(meet(X_11,X_11),X_11)),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))) != join(meet(meet(meet(X_11,X_11),join(X_11,X_11)),X_11),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11)))
| join(meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(meet(X_11,X_11),X_11)),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))) != meet(meet(X_11,X_11),join(X_11,X_11))
| join(meet(meet(meet(X_11,X_11),join(X_11,X_11)),X_11),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))) = meet(meet(X_11,X_11),join(X_11,X_11)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(meet(X_11,X_11),X_11)),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))),meet(meet(X_11,X_11),join(X_11,X_11))) ),[0],$fot(join(meet(meet(meet(X_11,X_11),join(X_11,X_11)),X_11),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))))]]) ).
cnf(refute_0_75,plain,
( join(meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(meet(X_11,X_11),X_11)),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))) != meet(meet(X_11,X_11),join(X_11,X_11))
| join(meet(meet(meet(X_11,X_11),join(X_11,X_11)),X_11),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))) = meet(meet(X_11,X_11),join(X_11,X_11)) ),
inference(resolve,[$cnf( $equal(join(meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(meet(X_11,X_11),X_11)),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))),join(meet(meet(meet(X_11,X_11),join(X_11,X_11)),X_11),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11)))) )],[refute_0_73,refute_0_74]) ).
cnf(refute_0_76,plain,
join(meet(meet(meet(X_11,X_11),join(X_11,X_11)),X_11),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))) = meet(meet(X_11,X_11),join(X_11,X_11)),
inference(resolve,[$cnf( $equal(join(meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(meet(X_11,X_11),X_11)),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))),meet(meet(X_11,X_11),join(X_11,X_11))) )],[refute_0_54,refute_0_75]) ).
cnf(refute_0_77,plain,
meet(X_11,X_11) = X_11,
inference(subst,[],[refute_0_35:[bind(X_34,$fot(X_11))]]) ).
cnf(refute_0_78,plain,
meet(X_11,meet(X_11,X_11)) = meet(X_11,meet(X_11,X_11)),
introduced(tautology,[refl,[$fot(meet(X_11,meet(X_11,X_11)))]]) ).
cnf(refute_0_79,plain,
( meet(X_11,X_11) != X_11
| meet(X_11,meet(X_11,X_11)) != meet(X_11,meet(X_11,X_11))
| meet(X_11,meet(X_11,X_11)) = meet(X_11,X_11) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_11,meet(X_11,X_11)),meet(X_11,meet(X_11,X_11))) ),[1,1],$fot(X_11)]]) ).
cnf(refute_0_80,plain,
( meet(X_11,X_11) != X_11
| meet(X_11,meet(X_11,X_11)) = meet(X_11,X_11) ),
inference(resolve,[$cnf( $equal(meet(X_11,meet(X_11,X_11)),meet(X_11,meet(X_11,X_11))) )],[refute_0_78,refute_0_79]) ).
cnf(refute_0_81,plain,
meet(X_11,meet(X_11,X_11)) = meet(X_11,X_11),
inference(resolve,[$cnf( $equal(meet(X_11,X_11),X_11) )],[refute_0_77,refute_0_80]) ).
cnf(refute_0_82,plain,
join(meet(meet(X_1,X_1),meet(X_1,join(X_1,X_1))),meet(meet(X_1,X_1),X_1)) = meet(X_1,X_1),
inference(subst,[],[refute_0_44:[bind(X_0,$fot(X_1))]]) ).
cnf(refute_0_83,plain,
meet(meet(X_1,X_1),X_1) = X_1,
inference(subst,[],[refute_0_64:[bind(X,$fot(X_1))]]) ).
cnf(refute_0_84,plain,
( join(meet(meet(X_1,X_1),meet(X_1,join(X_1,X_1))),meet(meet(X_1,X_1),X_1)) != meet(X_1,X_1)
| meet(meet(X_1,X_1),X_1) != X_1
| join(meet(meet(X_1,X_1),meet(X_1,join(X_1,X_1))),X_1) = meet(X_1,X_1) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(X_1,X_1),meet(X_1,join(X_1,X_1))),meet(meet(X_1,X_1),X_1)),meet(X_1,X_1)) ),[0,1],$fot(X_1)]]) ).
cnf(refute_0_85,plain,
( join(meet(meet(X_1,X_1),meet(X_1,join(X_1,X_1))),meet(meet(X_1,X_1),X_1)) != meet(X_1,X_1)
| join(meet(meet(X_1,X_1),meet(X_1,join(X_1,X_1))),X_1) = meet(X_1,X_1) ),
inference(resolve,[$cnf( $equal(meet(meet(X_1,X_1),X_1),X_1) )],[refute_0_83,refute_0_84]) ).
cnf(refute_0_86,plain,
join(meet(meet(X_1,X_1),meet(X_1,join(X_1,X_1))),X_1) = meet(X_1,X_1),
inference(resolve,[$cnf( $equal(join(meet(meet(X_1,X_1),meet(X_1,join(X_1,X_1))),meet(meet(X_1,X_1),X_1)),meet(X_1,X_1)) )],[refute_0_82,refute_0_85]) ).
cnf(refute_0_87,plain,
join(meet(meet(X_6,X_7),meet(X_7,join(X_6,X_7))),meet(meet(X_7,join(X_6,X_7)),join(meet(X_6,X_7),meet(X_7,join(X_6,X_7))))) = meet(X_7,join(X_6,X_7)),
inference(subst,[],[wal_absorbtion_3:[bind(X,$fot(meet(X_6,X_7))),bind(Y,$fot(meet(X_7,join(X_6,X_7))))]]) ).
cnf(refute_0_88,plain,
join(meet(X_6,X_7),meet(X_7,join(X_6,X_7))) = X_7,
inference(subst,[],[wal_absorbtion_3:[bind(X,$fot(X_6)),bind(Y,$fot(X_7))]]) ).
cnf(refute_0_89,plain,
( join(meet(X_6,X_7),meet(X_7,join(X_6,X_7))) != X_7
| join(meet(meet(X_6,X_7),meet(X_7,join(X_6,X_7))),meet(meet(X_7,join(X_6,X_7)),join(meet(X_6,X_7),meet(X_7,join(X_6,X_7))))) != meet(X_7,join(X_6,X_7))
| join(meet(meet(X_6,X_7),meet(X_7,join(X_6,X_7))),meet(meet(X_7,join(X_6,X_7)),X_7)) = meet(X_7,join(X_6,X_7)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(X_6,X_7),meet(X_7,join(X_6,X_7))),meet(meet(X_7,join(X_6,X_7)),join(meet(X_6,X_7),meet(X_7,join(X_6,X_7))))),meet(X_7,join(X_6,X_7))) ),[0,1,1],$fot(X_7)]]) ).
cnf(refute_0_90,plain,
( join(meet(meet(X_6,X_7),meet(X_7,join(X_6,X_7))),meet(meet(X_7,join(X_6,X_7)),join(meet(X_6,X_7),meet(X_7,join(X_6,X_7))))) != meet(X_7,join(X_6,X_7))
| join(meet(meet(X_6,X_7),meet(X_7,join(X_6,X_7))),meet(meet(X_7,join(X_6,X_7)),X_7)) = meet(X_7,join(X_6,X_7)) ),
inference(resolve,[$cnf( $equal(join(meet(X_6,X_7),meet(X_7,join(X_6,X_7))),X_7) )],[refute_0_88,refute_0_89]) ).
cnf(refute_0_91,plain,
join(meet(meet(X_6,X_7),meet(X_7,join(X_6,X_7))),meet(meet(X_7,join(X_6,X_7)),X_7)) = meet(X_7,join(X_6,X_7)),
inference(resolve,[$cnf( $equal(join(meet(meet(X_6,X_7),meet(X_7,join(X_6,X_7))),meet(meet(X_7,join(X_6,X_7)),join(meet(X_6,X_7),meet(X_7,join(X_6,X_7))))),meet(X_7,join(X_6,X_7))) )],[refute_0_87,refute_0_90]) ).
cnf(refute_0_92,plain,
meet(meet(join(X,meet(X,join(meet(join(X,X_26),X),X))),join(Z,X)),X) = X,
inference(subst,[],[wal_absorbtion_4:[bind(Y,$fot(meet(X,join(meet(join(X,X_26),X),X))))]]) ).
cnf(refute_0_93,plain,
( join(X,meet(X,join(meet(join(X,X_26),X),X))) != X
| meet(meet(join(X,meet(X,join(meet(join(X,X_26),X),X))),join(Z,X)),X) != X
| meet(meet(X,join(Z,X)),X) = X ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(join(X,meet(X,join(meet(join(X,X_26),X),X))),join(Z,X)),X),X) ),[0,0,0],$fot(X)]]) ).
cnf(refute_0_94,plain,
( meet(meet(join(X,meet(X,join(meet(join(X,X_26),X),X))),join(Z,X)),X) != X
| meet(meet(X,join(Z,X)),X) = X ),
inference(resolve,[$cnf( $equal(join(X,meet(X,join(meet(join(X,X_26),X),X))),X) )],[refute_0_61,refute_0_93]) ).
cnf(refute_0_95,plain,
meet(meet(X,join(Z,X)),X) = X,
inference(resolve,[$cnf( $equal(meet(meet(join(X,meet(X,join(meet(join(X,X_26),X),X))),join(Z,X)),X),X) )],[refute_0_92,refute_0_94]) ).
cnf(refute_0_96,plain,
meet(meet(X_7,join(X_6,X_7)),X_7) = X_7,
inference(subst,[],[refute_0_95:[bind(X,$fot(X_7)),bind(Z,$fot(X_6))]]) ).
cnf(refute_0_97,plain,
join(meet(meet(X_6,X_7),meet(X_7,join(X_6,X_7))),meet(meet(X_7,join(X_6,X_7)),X_7)) = join(meet(meet(X_6,X_7),meet(X_7,join(X_6,X_7))),meet(meet(X_7,join(X_6,X_7)),X_7)),
introduced(tautology,[refl,[$fot(join(meet(meet(X_6,X_7),meet(X_7,join(X_6,X_7))),meet(meet(X_7,join(X_6,X_7)),X_7)))]]) ).
cnf(refute_0_98,plain,
( join(meet(meet(X_6,X_7),meet(X_7,join(X_6,X_7))),meet(meet(X_7,join(X_6,X_7)),X_7)) != join(meet(meet(X_6,X_7),meet(X_7,join(X_6,X_7))),meet(meet(X_7,join(X_6,X_7)),X_7))
| meet(meet(X_7,join(X_6,X_7)),X_7) != X_7
| join(meet(meet(X_6,X_7),meet(X_7,join(X_6,X_7))),meet(meet(X_7,join(X_6,X_7)),X_7)) = join(meet(meet(X_6,X_7),meet(X_7,join(X_6,X_7))),X_7) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(X_6,X_7),meet(X_7,join(X_6,X_7))),meet(meet(X_7,join(X_6,X_7)),X_7)),join(meet(meet(X_6,X_7),meet(X_7,join(X_6,X_7))),meet(meet(X_7,join(X_6,X_7)),X_7))) ),[1,1],$fot(X_7)]]) ).
cnf(refute_0_99,plain,
( meet(meet(X_7,join(X_6,X_7)),X_7) != X_7
| join(meet(meet(X_6,X_7),meet(X_7,join(X_6,X_7))),meet(meet(X_7,join(X_6,X_7)),X_7)) = join(meet(meet(X_6,X_7),meet(X_7,join(X_6,X_7))),X_7) ),
inference(resolve,[$cnf( $equal(join(meet(meet(X_6,X_7),meet(X_7,join(X_6,X_7))),meet(meet(X_7,join(X_6,X_7)),X_7)),join(meet(meet(X_6,X_7),meet(X_7,join(X_6,X_7))),meet(meet(X_7,join(X_6,X_7)),X_7))) )],[refute_0_97,refute_0_98]) ).
cnf(refute_0_100,plain,
join(meet(meet(X_6,X_7),meet(X_7,join(X_6,X_7))),meet(meet(X_7,join(X_6,X_7)),X_7)) = join(meet(meet(X_6,X_7),meet(X_7,join(X_6,X_7))),X_7),
inference(resolve,[$cnf( $equal(meet(meet(X_7,join(X_6,X_7)),X_7),X_7) )],[refute_0_96,refute_0_99]) ).
cnf(refute_0_101,plain,
( join(meet(meet(X_6,X_7),meet(X_7,join(X_6,X_7))),meet(meet(X_7,join(X_6,X_7)),X_7)) != join(meet(meet(X_6,X_7),meet(X_7,join(X_6,X_7))),X_7)
| join(meet(meet(X_6,X_7),meet(X_7,join(X_6,X_7))),meet(meet(X_7,join(X_6,X_7)),X_7)) != meet(X_7,join(X_6,X_7))
| join(meet(meet(X_6,X_7),meet(X_7,join(X_6,X_7))),X_7) = meet(X_7,join(X_6,X_7)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(X_6,X_7),meet(X_7,join(X_6,X_7))),meet(meet(X_7,join(X_6,X_7)),X_7)),meet(X_7,join(X_6,X_7))) ),[0],$fot(join(meet(meet(X_6,X_7),meet(X_7,join(X_6,X_7))),X_7))]]) ).
cnf(refute_0_102,plain,
( join(meet(meet(X_6,X_7),meet(X_7,join(X_6,X_7))),meet(meet(X_7,join(X_6,X_7)),X_7)) != meet(X_7,join(X_6,X_7))
| join(meet(meet(X_6,X_7),meet(X_7,join(X_6,X_7))),X_7) = meet(X_7,join(X_6,X_7)) ),
inference(resolve,[$cnf( $equal(join(meet(meet(X_6,X_7),meet(X_7,join(X_6,X_7))),meet(meet(X_7,join(X_6,X_7)),X_7)),join(meet(meet(X_6,X_7),meet(X_7,join(X_6,X_7))),X_7)) )],[refute_0_100,refute_0_101]) ).
cnf(refute_0_103,plain,
join(meet(meet(X_6,X_7),meet(X_7,join(X_6,X_7))),X_7) = meet(X_7,join(X_6,X_7)),
inference(resolve,[$cnf( $equal(join(meet(meet(X_6,X_7),meet(X_7,join(X_6,X_7))),meet(meet(X_7,join(X_6,X_7)),X_7)),meet(X_7,join(X_6,X_7))) )],[refute_0_91,refute_0_102]) ).
cnf(refute_0_104,plain,
join(meet(meet(X_1,X_1),meet(X_1,join(X_1,X_1))),X_1) = meet(X_1,join(X_1,X_1)),
inference(subst,[],[refute_0_103:[bind(X_6,$fot(X_1)),bind(X_7,$fot(X_1))]]) ).
cnf(refute_0_105,plain,
( join(meet(meet(X_1,X_1),meet(X_1,join(X_1,X_1))),X_1) != meet(X_1,X_1)
| join(meet(meet(X_1,X_1),meet(X_1,join(X_1,X_1))),X_1) != meet(X_1,join(X_1,X_1))
| meet(X_1,join(X_1,X_1)) = meet(X_1,X_1) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(X_1,X_1),meet(X_1,join(X_1,X_1))),X_1),meet(X_1,X_1)) ),[0],$fot(meet(X_1,join(X_1,X_1)))]]) ).
cnf(refute_0_106,plain,
( join(meet(meet(X_1,X_1),meet(X_1,join(X_1,X_1))),X_1) != meet(X_1,X_1)
| meet(X_1,join(X_1,X_1)) = meet(X_1,X_1) ),
inference(resolve,[$cnf( $equal(join(meet(meet(X_1,X_1),meet(X_1,join(X_1,X_1))),X_1),meet(X_1,join(X_1,X_1))) )],[refute_0_104,refute_0_105]) ).
cnf(refute_0_107,plain,
meet(X_1,join(X_1,X_1)) = meet(X_1,X_1),
inference(resolve,[$cnf( $equal(join(meet(meet(X_1,X_1),meet(X_1,join(X_1,X_1))),X_1),meet(X_1,X_1)) )],[refute_0_86,refute_0_106]) ).
cnf(refute_0_108,plain,
meet(X_11,join(X_11,X_11)) = meet(X_11,X_11),
inference(subst,[],[refute_0_107:[bind(X_1,$fot(X_11))]]) ).
cnf(refute_0_109,plain,
( meet(X_11,X_11) != X_11
| meet(X_11,join(X_11,X_11)) != meet(X_11,X_11)
| meet(X_11,join(X_11,X_11)) = X_11 ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(meet(X_11,join(X_11,X_11)))),bind(Y0,$fot(meet(X_11,X_11))),bind(Z0,$fot(X_11))]]) ).
cnf(refute_0_110,plain,
( meet(X_11,X_11) != X_11
| meet(X_11,join(X_11,X_11)) = X_11 ),
inference(resolve,[$cnf( $equal(meet(X_11,join(X_11,X_11)),meet(X_11,X_11)) )],[refute_0_108,refute_0_109]) ).
cnf(refute_0_111,plain,
meet(X_11,join(X_11,X_11)) = X_11,
inference(resolve,[$cnf( $equal(meet(X_11,X_11),X_11) )],[refute_0_77,refute_0_110]) ).
cnf(refute_0_112,plain,
meet(meet(X_11,X_11),join(X_11,X_11)) = meet(meet(X_11,X_11),join(X_11,X_11)),
introduced(tautology,[refl,[$fot(meet(meet(X_11,X_11),join(X_11,X_11)))]]) ).
cnf(refute_0_113,plain,
( meet(X_11,X_11) != X_11
| meet(meet(X_11,X_11),join(X_11,X_11)) != meet(meet(X_11,X_11),join(X_11,X_11))
| meet(meet(X_11,X_11),join(X_11,X_11)) = meet(X_11,join(X_11,X_11)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_11,X_11),join(X_11,X_11)),meet(meet(X_11,X_11),join(X_11,X_11))) ),[1,0],$fot(X_11)]]) ).
cnf(refute_0_114,plain,
( meet(X_11,X_11) != X_11
| meet(meet(X_11,X_11),join(X_11,X_11)) = meet(X_11,join(X_11,X_11)) ),
inference(resolve,[$cnf( $equal(meet(meet(X_11,X_11),join(X_11,X_11)),meet(meet(X_11,X_11),join(X_11,X_11))) )],[refute_0_112,refute_0_113]) ).
cnf(refute_0_115,plain,
meet(meet(X_11,X_11),join(X_11,X_11)) = meet(X_11,join(X_11,X_11)),
inference(resolve,[$cnf( $equal(meet(X_11,X_11),X_11) )],[refute_0_77,refute_0_114]) ).
cnf(refute_0_116,plain,
( meet(X_11,join(X_11,X_11)) != X_11
| meet(meet(X_11,X_11),join(X_11,X_11)) != meet(X_11,join(X_11,X_11))
| meet(meet(X_11,X_11),join(X_11,X_11)) = X_11 ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(meet(meet(X_11,X_11),join(X_11,X_11)))),bind(Y0,$fot(meet(X_11,join(X_11,X_11)))),bind(Z0,$fot(X_11))]]) ).
cnf(refute_0_117,plain,
( meet(X_11,join(X_11,X_11)) != X_11
| meet(meet(X_11,X_11),join(X_11,X_11)) = X_11 ),
inference(resolve,[$cnf( $equal(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,join(X_11,X_11))) )],[refute_0_115,refute_0_116]) ).
cnf(refute_0_118,plain,
meet(meet(X_11,X_11),join(X_11,X_11)) = X_11,
inference(resolve,[$cnf( $equal(meet(X_11,join(X_11,X_11)),X_11) )],[refute_0_111,refute_0_117]) ).
cnf(refute_0_119,plain,
meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11)) = meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11)),
introduced(tautology,[refl,[$fot(meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11)))]]) ).
cnf(refute_0_120,plain,
( meet(meet(X_11,X_11),join(X_11,X_11)) != X_11
| meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11)) != meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))
| meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11)) = meet(X_11,meet(X_11,X_11)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11)),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))) ),[1,0],$fot(X_11)]]) ).
cnf(refute_0_121,plain,
( meet(meet(X_11,X_11),join(X_11,X_11)) != X_11
| meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11)) = meet(X_11,meet(X_11,X_11)) ),
inference(resolve,[$cnf( $equal(meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11)),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))) )],[refute_0_119,refute_0_120]) ).
cnf(refute_0_122,plain,
meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11)) = meet(X_11,meet(X_11,X_11)),
inference(resolve,[$cnf( $equal(meet(meet(X_11,X_11),join(X_11,X_11)),X_11) )],[refute_0_118,refute_0_121]) ).
cnf(refute_0_123,plain,
( meet(X_11,meet(X_11,X_11)) != meet(X_11,X_11)
| meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11)) != meet(X_11,meet(X_11,X_11))
| meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11)) = meet(X_11,X_11) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11)))),bind(Y0,$fot(meet(X_11,meet(X_11,X_11)))),bind(Z0,$fot(meet(X_11,X_11)))]]) ).
cnf(refute_0_124,plain,
( meet(X_11,meet(X_11,X_11)) != meet(X_11,X_11)
| meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11)) = meet(X_11,X_11) ),
inference(resolve,[$cnf( $equal(meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11)),meet(X_11,meet(X_11,X_11))) )],[refute_0_122,refute_0_123]) ).
cnf(refute_0_125,plain,
meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11)) = meet(X_11,X_11),
inference(resolve,[$cnf( $equal(meet(X_11,meet(X_11,X_11)),meet(X_11,X_11)) )],[refute_0_81,refute_0_124]) ).
cnf(refute_0_126,plain,
( meet(X_11,X_11) != X_11
| meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11)) != meet(X_11,X_11)
| meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11)) = X_11 ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11)))),bind(Y0,$fot(meet(X_11,X_11))),bind(Z0,$fot(X_11))]]) ).
cnf(refute_0_127,plain,
( meet(X_11,X_11) != X_11
| meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11)) = X_11 ),
inference(resolve,[$cnf( $equal(meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11)),meet(X_11,X_11)) )],[refute_0_125,refute_0_126]) ).
cnf(refute_0_128,plain,
meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11)) = X_11,
inference(resolve,[$cnf( $equal(meet(X_11,X_11),X_11) )],[refute_0_77,refute_0_127]) ).
cnf(refute_0_129,plain,
join(X_11,meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))) = join(X_11,meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))),
introduced(tautology,[refl,[$fot(join(X_11,meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))))]]) ).
cnf(refute_0_130,plain,
( join(X_11,meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))) != join(X_11,meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11)))
| meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11)) != X_11
| join(X_11,meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))) = join(X_11,X_11) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_11,meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))),join(X_11,meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11)))) ),[1,1],$fot(X_11)]]) ).
cnf(refute_0_131,plain,
( meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11)) != X_11
| join(X_11,meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))) = join(X_11,X_11) ),
inference(resolve,[$cnf( $equal(join(X_11,meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))),join(X_11,meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11)))) )],[refute_0_129,refute_0_130]) ).
cnf(refute_0_132,plain,
join(X_11,meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))) = join(X_11,X_11),
inference(resolve,[$cnf( $equal(meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11)),X_11) )],[refute_0_128,refute_0_131]) ).
cnf(refute_0_133,plain,
meet(meet(meet(X_11,X_11),join(X_11,X_11)),X_11) = meet(meet(meet(X_11,X_11),join(X_11,X_11)),X_11),
introduced(tautology,[refl,[$fot(meet(meet(meet(X_11,X_11),join(X_11,X_11)),X_11))]]) ).
cnf(refute_0_134,plain,
( meet(meet(X_11,X_11),join(X_11,X_11)) != X_11
| meet(meet(meet(X_11,X_11),join(X_11,X_11)),X_11) != meet(meet(meet(X_11,X_11),join(X_11,X_11)),X_11)
| meet(meet(meet(X_11,X_11),join(X_11,X_11)),X_11) = meet(X_11,X_11) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(meet(X_11,X_11),join(X_11,X_11)),X_11),meet(meet(meet(X_11,X_11),join(X_11,X_11)),X_11)) ),[1,0],$fot(X_11)]]) ).
cnf(refute_0_135,plain,
( meet(meet(X_11,X_11),join(X_11,X_11)) != X_11
| meet(meet(meet(X_11,X_11),join(X_11,X_11)),X_11) = meet(X_11,X_11) ),
inference(resolve,[$cnf( $equal(meet(meet(meet(X_11,X_11),join(X_11,X_11)),X_11),meet(meet(meet(X_11,X_11),join(X_11,X_11)),X_11)) )],[refute_0_133,refute_0_134]) ).
cnf(refute_0_136,plain,
meet(meet(meet(X_11,X_11),join(X_11,X_11)),X_11) = meet(X_11,X_11),
inference(resolve,[$cnf( $equal(meet(meet(X_11,X_11),join(X_11,X_11)),X_11) )],[refute_0_118,refute_0_135]) ).
cnf(refute_0_137,plain,
( meet(X_11,X_11) != X_11
| meet(meet(meet(X_11,X_11),join(X_11,X_11)),X_11) != meet(X_11,X_11)
| meet(meet(meet(X_11,X_11),join(X_11,X_11)),X_11) = X_11 ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(meet(meet(meet(X_11,X_11),join(X_11,X_11)),X_11))),bind(Y0,$fot(meet(X_11,X_11))),bind(Z0,$fot(X_11))]]) ).
cnf(refute_0_138,plain,
( meet(X_11,X_11) != X_11
| meet(meet(meet(X_11,X_11),join(X_11,X_11)),X_11) = X_11 ),
inference(resolve,[$cnf( $equal(meet(meet(meet(X_11,X_11),join(X_11,X_11)),X_11),meet(X_11,X_11)) )],[refute_0_136,refute_0_137]) ).
cnf(refute_0_139,plain,
meet(meet(meet(X_11,X_11),join(X_11,X_11)),X_11) = X_11,
inference(resolve,[$cnf( $equal(meet(X_11,X_11),X_11) )],[refute_0_77,refute_0_138]) ).
cnf(refute_0_140,plain,
join(meet(meet(meet(X_11,X_11),join(X_11,X_11)),X_11),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))) = join(meet(meet(meet(X_11,X_11),join(X_11,X_11)),X_11),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))),
introduced(tautology,[refl,[$fot(join(meet(meet(meet(X_11,X_11),join(X_11,X_11)),X_11),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))))]]) ).
cnf(refute_0_141,plain,
( join(meet(meet(meet(X_11,X_11),join(X_11,X_11)),X_11),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))) != join(meet(meet(meet(X_11,X_11),join(X_11,X_11)),X_11),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11)))
| meet(meet(meet(X_11,X_11),join(X_11,X_11)),X_11) != X_11
| join(meet(meet(meet(X_11,X_11),join(X_11,X_11)),X_11),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))) = join(X_11,meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(meet(X_11,X_11),join(X_11,X_11)),X_11),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))),join(meet(meet(meet(X_11,X_11),join(X_11,X_11)),X_11),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11)))) ),[1,0],$fot(X_11)]]) ).
cnf(refute_0_142,plain,
( meet(meet(meet(X_11,X_11),join(X_11,X_11)),X_11) != X_11
| join(meet(meet(meet(X_11,X_11),join(X_11,X_11)),X_11),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))) = join(X_11,meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))) ),
inference(resolve,[$cnf( $equal(join(meet(meet(meet(X_11,X_11),join(X_11,X_11)),X_11),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))),join(meet(meet(meet(X_11,X_11),join(X_11,X_11)),X_11),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11)))) )],[refute_0_140,refute_0_141]) ).
cnf(refute_0_143,plain,
join(meet(meet(meet(X_11,X_11),join(X_11,X_11)),X_11),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))) = join(X_11,meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))),
inference(resolve,[$cnf( $equal(meet(meet(meet(X_11,X_11),join(X_11,X_11)),X_11),X_11) )],[refute_0_139,refute_0_142]) ).
cnf(refute_0_144,plain,
( join(X_11,meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))) != join(X_11,X_11)
| join(meet(meet(meet(X_11,X_11),join(X_11,X_11)),X_11),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))) != join(X_11,meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11)))
| join(meet(meet(meet(X_11,X_11),join(X_11,X_11)),X_11),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))) = join(X_11,X_11) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(join(meet(meet(meet(X_11,X_11),join(X_11,X_11)),X_11),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))))),bind(Y0,$fot(join(X_11,meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))))),bind(Z0,$fot(join(X_11,X_11)))]]) ).
cnf(refute_0_145,plain,
( join(X_11,meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))) != join(X_11,X_11)
| join(meet(meet(meet(X_11,X_11),join(X_11,X_11)),X_11),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))) = join(X_11,X_11) ),
inference(resolve,[$cnf( $equal(join(meet(meet(meet(X_11,X_11),join(X_11,X_11)),X_11),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))),join(X_11,meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11)))) )],[refute_0_143,refute_0_144]) ).
cnf(refute_0_146,plain,
join(meet(meet(meet(X_11,X_11),join(X_11,X_11)),X_11),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))) = join(X_11,X_11),
inference(resolve,[$cnf( $equal(join(X_11,meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))),join(X_11,X_11)) )],[refute_0_132,refute_0_145]) ).
cnf(refute_0_147,plain,
( join(meet(meet(meet(X_11,X_11),join(X_11,X_11)),X_11),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))) != join(X_11,X_11)
| join(meet(meet(meet(X_11,X_11),join(X_11,X_11)),X_11),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))) != meet(meet(X_11,X_11),join(X_11,X_11))
| join(X_11,X_11) = meet(meet(X_11,X_11),join(X_11,X_11)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(meet(X_11,X_11),join(X_11,X_11)),X_11),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))),meet(meet(X_11,X_11),join(X_11,X_11))) ),[0],$fot(join(X_11,X_11))]]) ).
cnf(refute_0_148,plain,
( join(meet(meet(meet(X_11,X_11),join(X_11,X_11)),X_11),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))) != meet(meet(X_11,X_11),join(X_11,X_11))
| join(X_11,X_11) = meet(meet(X_11,X_11),join(X_11,X_11)) ),
inference(resolve,[$cnf( $equal(join(meet(meet(meet(X_11,X_11),join(X_11,X_11)),X_11),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))),join(X_11,X_11)) )],[refute_0_146,refute_0_147]) ).
cnf(refute_0_149,plain,
( join(X_11,X_11) != meet(meet(X_11,X_11),join(X_11,X_11))
| meet(meet(X_11,X_11),join(X_11,X_11)) != X_11
| join(X_11,X_11) = X_11 ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_11,X_11),X_11) ),[0],$fot(meet(meet(X_11,X_11),join(X_11,X_11)))]]) ).
cnf(refute_0_150,plain,
( join(X_11,X_11) != meet(meet(X_11,X_11),join(X_11,X_11))
| join(X_11,X_11) = X_11 ),
inference(resolve,[$cnf( $equal(meet(meet(X_11,X_11),join(X_11,X_11)),X_11) )],[refute_0_118,refute_0_149]) ).
cnf(refute_0_151,plain,
( join(meet(meet(meet(X_11,X_11),join(X_11,X_11)),X_11),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))) != meet(meet(X_11,X_11),join(X_11,X_11))
| join(X_11,X_11) = X_11 ),
inference(resolve,[$cnf( $equal(join(X_11,X_11),meet(meet(X_11,X_11),join(X_11,X_11))) )],[refute_0_148,refute_0_150]) ).
cnf(refute_0_152,plain,
join(X_11,X_11) = X_11,
inference(resolve,[$cnf( $equal(join(meet(meet(meet(X_11,X_11),join(X_11,X_11)),X_11),meet(meet(meet(X_11,X_11),join(X_11,X_11)),meet(X_11,X_11))),meet(meet(X_11,X_11),join(X_11,X_11))) )],[refute_0_76,refute_0_151]) ).
cnf(refute_0_153,plain,
join(a,a) = a,
inference(subst,[],[refute_0_152:[bind(X_11,$fot(a))]]) ).
cnf(refute_0_154,plain,
( a != a
| join(a,a) != a
| join(a,a) = a ),
introduced(tautology,[equality,[$cnf( $equal(join(a,a),a) ),[0,0],$fot(a)]]) ).
cnf(refute_0_155,plain,
( a != a
| join(a,a) = a ),
inference(resolve,[$cnf( $equal(join(a,a),a) )],[refute_0_153,refute_0_154]) ).
cnf(refute_0_156,plain,
( a != a
| join(b,a) != join(a,b)
| meet(b,a) != meet(a,b) ),
inference(resolve,[$cnf( $equal(join(a,a),a) )],[refute_0_155,refute_0_39]) ).
cnf(refute_0_157,plain,
a = a,
introduced(tautology,[refl,[$fot(a)]]) ).
cnf(refute_0_158,plain,
( join(b,a) != join(a,b)
| meet(b,a) != meet(a,b) ),
inference(resolve,[$cnf( $equal(a,a) )],[refute_0_157,refute_0_156]) ).
cnf(refute_0_159,plain,
meet(meet(join(meet(X,Y),meet(Y,join(X,Y))),join(X_10,meet(X,Y))),meet(X,Y)) = meet(X,Y),
inference(subst,[],[wal_absorbtion_4:[bind(X,$fot(meet(X,Y))),bind(Y,$fot(meet(Y,join(X,Y)))),bind(Z,$fot(X_10))]]) ).
cnf(refute_0_160,plain,
( join(meet(X,Y),meet(Y,join(X,Y))) != Y
| meet(meet(join(meet(X,Y),meet(Y,join(X,Y))),join(X_10,meet(X,Y))),meet(X,Y)) != meet(X,Y)
| meet(meet(Y,join(X_10,meet(X,Y))),meet(X,Y)) = meet(X,Y) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(join(meet(X,Y),meet(Y,join(X,Y))),join(X_10,meet(X,Y))),meet(X,Y)),meet(X,Y)) ),[0,0,0],$fot(Y)]]) ).
cnf(refute_0_161,plain,
( meet(meet(join(meet(X,Y),meet(Y,join(X,Y))),join(X_10,meet(X,Y))),meet(X,Y)) != meet(X,Y)
| meet(meet(Y,join(X_10,meet(X,Y))),meet(X,Y)) = meet(X,Y) ),
inference(resolve,[$cnf( $equal(join(meet(X,Y),meet(Y,join(X,Y))),Y) )],[wal_absorbtion_3,refute_0_160]) ).
cnf(refute_0_162,plain,
meet(meet(Y,join(X_10,meet(X,Y))),meet(X,Y)) = meet(X,Y),
inference(resolve,[$cnf( $equal(meet(meet(join(meet(X,Y),meet(Y,join(X,Y))),join(X_10,meet(X,Y))),meet(X,Y)),meet(X,Y)) )],[refute_0_159,refute_0_161]) ).
cnf(refute_0_163,plain,
meet(meet(Y,join(X,meet(X,Y))),meet(X,Y)) = meet(X,Y),
inference(subst,[],[refute_0_162:[bind(X_10,$fot(X))]]) ).
cnf(refute_0_164,plain,
meet(X,X) = X,
inference(subst,[],[refute_0_35:[bind(X_34,$fot(X))]]) ).
cnf(refute_0_165,plain,
join(meet(X,X),meet(Y,join(X,X))) = join(meet(X,X),meet(Y,join(X,X))),
introduced(tautology,[refl,[$fot(join(meet(X,X),meet(Y,join(X,X))))]]) ).
cnf(refute_0_166,plain,
( join(meet(X,X),meet(Y,join(X,X))) != join(meet(X,X),meet(Y,join(X,X)))
| meet(X,X) != X
| join(meet(X,X),meet(Y,join(X,X))) = join(X,meet(Y,join(X,X))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X,X),meet(Y,join(X,X))),join(meet(X,X),meet(Y,join(X,X)))) ),[1,0],$fot(X)]]) ).
cnf(refute_0_167,plain,
( meet(X,X) != X
| join(meet(X,X),meet(Y,join(X,X))) = join(X,meet(Y,join(X,X))) ),
inference(resolve,[$cnf( $equal(join(meet(X,X),meet(Y,join(X,X))),join(meet(X,X),meet(Y,join(X,X)))) )],[refute_0_165,refute_0_166]) ).
cnf(refute_0_168,plain,
join(meet(X,X),meet(Y,join(X,X))) = join(X,meet(Y,join(X,X))),
inference(resolve,[$cnf( $equal(meet(X,X),X) )],[refute_0_164,refute_0_167]) ).
cnf(refute_0_169,plain,
( join(meet(X,X),meet(Y,join(X,X))) != X
| join(meet(X,X),meet(Y,join(X,X))) != join(X,meet(Y,join(X,X)))
| join(X,meet(Y,join(X,X))) = X ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X,X),meet(Y,join(X,X))),X) ),[0],$fot(join(X,meet(Y,join(X,X))))]]) ).
cnf(refute_0_170,plain,
( join(meet(X,X),meet(Y,join(X,X))) != X
| join(X,meet(Y,join(X,X))) = X ),
inference(resolve,[$cnf( $equal(join(meet(X,X),meet(Y,join(X,X))),join(X,meet(Y,join(X,X)))) )],[refute_0_168,refute_0_169]) ).
cnf(refute_0_171,plain,
join(X,meet(Y,join(X,X))) = X,
inference(resolve,[$cnf( $equal(join(meet(X,X),meet(Y,join(X,X))),X) )],[wal_absorbtion_2,refute_0_170]) ).
cnf(refute_0_172,plain,
join(X,X) = X,
inference(subst,[],[refute_0_152:[bind(X_11,$fot(X))]]) ).
cnf(refute_0_173,plain,
meet(Y,join(X,X)) = meet(Y,join(X,X)),
introduced(tautology,[refl,[$fot(meet(Y,join(X,X)))]]) ).
cnf(refute_0_174,plain,
( join(X,X) != X
| meet(Y,join(X,X)) != meet(Y,join(X,X))
| meet(Y,join(X,X)) = meet(Y,X) ),
introduced(tautology,[equality,[$cnf( $equal(meet(Y,join(X,X)),meet(Y,join(X,X))) ),[1,1],$fot(X)]]) ).
cnf(refute_0_175,plain,
( join(X,X) != X
| meet(Y,join(X,X)) = meet(Y,X) ),
inference(resolve,[$cnf( $equal(meet(Y,join(X,X)),meet(Y,join(X,X))) )],[refute_0_173,refute_0_174]) ).
cnf(refute_0_176,plain,
meet(Y,join(X,X)) = meet(Y,X),
inference(resolve,[$cnf( $equal(join(X,X),X) )],[refute_0_172,refute_0_175]) ).
cnf(refute_0_177,plain,
join(X,meet(Y,join(X,X))) = join(X,meet(Y,join(X,X))),
introduced(tautology,[refl,[$fot(join(X,meet(Y,join(X,X))))]]) ).
cnf(refute_0_178,plain,
( join(X,meet(Y,join(X,X))) != join(X,meet(Y,join(X,X)))
| meet(Y,join(X,X)) != meet(Y,X)
| join(X,meet(Y,join(X,X))) = join(X,meet(Y,X)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X,meet(Y,join(X,X))),join(X,meet(Y,join(X,X)))) ),[1,1],$fot(meet(Y,X))]]) ).
cnf(refute_0_179,plain,
( meet(Y,join(X,X)) != meet(Y,X)
| join(X,meet(Y,join(X,X))) = join(X,meet(Y,X)) ),
inference(resolve,[$cnf( $equal(join(X,meet(Y,join(X,X))),join(X,meet(Y,join(X,X)))) )],[refute_0_177,refute_0_178]) ).
cnf(refute_0_180,plain,
join(X,meet(Y,join(X,X))) = join(X,meet(Y,X)),
inference(resolve,[$cnf( $equal(meet(Y,join(X,X)),meet(Y,X)) )],[refute_0_176,refute_0_179]) ).
cnf(refute_0_181,plain,
( join(X,meet(Y,join(X,X))) != X
| join(X,meet(Y,join(X,X))) != join(X,meet(Y,X))
| join(X,meet(Y,X)) = X ),
introduced(tautology,[equality,[$cnf( $equal(join(X,meet(Y,join(X,X))),X) ),[0],$fot(join(X,meet(Y,X)))]]) ).
cnf(refute_0_182,plain,
( join(X,meet(Y,join(X,X))) != X
| join(X,meet(Y,X)) = X ),
inference(resolve,[$cnf( $equal(join(X,meet(Y,join(X,X))),join(X,meet(Y,X))) )],[refute_0_180,refute_0_181]) ).
cnf(refute_0_183,plain,
join(X,meet(Y,X)) = X,
inference(resolve,[$cnf( $equal(join(X,meet(Y,join(X,X))),X) )],[refute_0_171,refute_0_182]) ).
cnf(refute_0_184,plain,
join(X,meet(meet(X,X_94),X)) = X,
inference(subst,[],[refute_0_183:[bind(Y,$fot(meet(X,X_94)))]]) ).
cnf(refute_0_185,plain,
join(meet(meet(Y,X_90),Y),meet(meet(Y,X_90),join(meet(Y,X_90),Y))) = meet(Y,X_90),
inference(subst,[],[wal_absorbtion_1:[bind(X,$fot(meet(Y,X_90)))]]) ).
cnf(refute_0_186,plain,
meet(meet(join(join(meet(Y,X_18),Y),Y),join(meet(Y,X_18),Y)),join(meet(Y,X_18),Y)) = join(meet(Y,X_18),Y),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(meet(Y,X_18),Y)))]]) ).
cnf(refute_0_187,plain,
join(join(meet(X_12,X_13),meet(meet(join(X_12,Y),join(Z,X_12)),X_12)),X_12) = X_12,
inference(subst,[],[wal_absorbtion_5:[bind(X,$fot(X_12)),bind(Y,$fot(X_13)),bind(Z,$fot(meet(join(X_12,Y),join(Z,X_12))))]]) ).
cnf(refute_0_188,plain,
meet(meet(join(X_12,Y),join(Z,X_12)),X_12) = X_12,
inference(subst,[],[wal_absorbtion_4:[bind(X,$fot(X_12))]]) ).
cnf(refute_0_189,plain,
( join(join(meet(X_12,X_13),meet(meet(join(X_12,Y),join(Z,X_12)),X_12)),X_12) != X_12
| meet(meet(join(X_12,Y),join(Z,X_12)),X_12) != X_12
| join(join(meet(X_12,X_13),X_12),X_12) = X_12 ),
introduced(tautology,[equality,[$cnf( $equal(join(join(meet(X_12,X_13),meet(meet(join(X_12,Y),join(Z,X_12)),X_12)),X_12),X_12) ),[0,0,1],$fot(X_12)]]) ).
cnf(refute_0_190,plain,
( join(join(meet(X_12,X_13),meet(meet(join(X_12,Y),join(Z,X_12)),X_12)),X_12) != X_12
| join(join(meet(X_12,X_13),X_12),X_12) = X_12 ),
inference(resolve,[$cnf( $equal(meet(meet(join(X_12,Y),join(Z,X_12)),X_12),X_12) )],[refute_0_188,refute_0_189]) ).
cnf(refute_0_191,plain,
join(join(meet(X_12,X_13),X_12),X_12) = X_12,
inference(resolve,[$cnf( $equal(join(join(meet(X_12,X_13),meet(meet(join(X_12,Y),join(Z,X_12)),X_12)),X_12),X_12) )],[refute_0_187,refute_0_190]) ).
cnf(refute_0_192,plain,
join(join(meet(Y,X_18),Y),Y) = Y,
inference(subst,[],[refute_0_191:[bind(X_12,$fot(Y)),bind(X_13,$fot(X_18))]]) ).
cnf(refute_0_193,plain,
( join(join(meet(Y,X_18),Y),Y) != Y
| meet(meet(join(join(meet(Y,X_18),Y),Y),join(meet(Y,X_18),Y)),join(meet(Y,X_18),Y)) != join(meet(Y,X_18),Y)
| meet(meet(Y,join(meet(Y,X_18),Y)),join(meet(Y,X_18),Y)) = join(meet(Y,X_18),Y) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(join(join(meet(Y,X_18),Y),Y),join(meet(Y,X_18),Y)),join(meet(Y,X_18),Y)),join(meet(Y,X_18),Y)) ),[0,0,0],$fot(Y)]]) ).
cnf(refute_0_194,plain,
( meet(meet(join(join(meet(Y,X_18),Y),Y),join(meet(Y,X_18),Y)),join(meet(Y,X_18),Y)) != join(meet(Y,X_18),Y)
| meet(meet(Y,join(meet(Y,X_18),Y)),join(meet(Y,X_18),Y)) = join(meet(Y,X_18),Y) ),
inference(resolve,[$cnf( $equal(join(join(meet(Y,X_18),Y),Y),Y) )],[refute_0_192,refute_0_193]) ).
cnf(refute_0_195,plain,
meet(meet(Y,join(meet(Y,X_18),Y)),join(meet(Y,X_18),Y)) = join(meet(Y,X_18),Y),
inference(resolve,[$cnf( $equal(meet(meet(join(join(meet(Y,X_18),Y),Y),join(meet(Y,X_18),Y)),join(meet(Y,X_18),Y)),join(meet(Y,X_18),Y)) )],[refute_0_186,refute_0_194]) ).
cnf(refute_0_196,plain,
join(meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(meet(X_4,X_4),join(meet(X_4,X_4),meet(X_5,join(X_4,X_4))))),meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(X_4,X_4))) = meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),
inference(subst,[],[refute_0_44:[bind(X_0,$fot(meet(X_4,X_4))),bind(X_1,$fot(meet(X_5,join(X_4,X_4))))]]) ).
cnf(refute_0_197,plain,
join(meet(X_4,X_4),meet(X_5,join(X_4,X_4))) = X_4,
inference(subst,[],[wal_absorbtion_2:[bind(X,$fot(X_4)),bind(Y,$fot(X_5))]]) ).
cnf(refute_0_198,plain,
( join(meet(X_4,X_4),meet(X_5,join(X_4,X_4))) != X_4
| join(meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(meet(X_4,X_4),join(meet(X_4,X_4),meet(X_5,join(X_4,X_4))))),meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(X_4,X_4))) != meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4)))
| join(meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(meet(X_4,X_4),X_4)),meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(X_4,X_4))) = meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(meet(X_4,X_4),join(meet(X_4,X_4),meet(X_5,join(X_4,X_4))))),meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(X_4,X_4))),meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4)))) ),[0,0,1,1],$fot(X_4)]]) ).
cnf(refute_0_199,plain,
( join(meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(meet(X_4,X_4),join(meet(X_4,X_4),meet(X_5,join(X_4,X_4))))),meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(X_4,X_4))) != meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4)))
| join(meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(meet(X_4,X_4),X_4)),meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(X_4,X_4))) = meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))) ),
inference(resolve,[$cnf( $equal(join(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),X_4) )],[refute_0_197,refute_0_198]) ).
cnf(refute_0_200,plain,
join(meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(meet(X_4,X_4),X_4)),meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(X_4,X_4))) = meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),
inference(resolve,[$cnf( $equal(join(meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(meet(X_4,X_4),join(meet(X_4,X_4),meet(X_5,join(X_4,X_4))))),meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(X_4,X_4))),meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4)))) )],[refute_0_196,refute_0_199]) ).
cnf(refute_0_201,plain,
meet(meet(X_4,X_4),X_4) = X_4,
inference(subst,[],[refute_0_64:[bind(X,$fot(X_4))]]) ).
cnf(refute_0_202,plain,
meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(meet(X_4,X_4),X_4)) = meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(meet(X_4,X_4),X_4)),
introduced(tautology,[refl,[$fot(meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(meet(X_4,X_4),X_4)))]]) ).
cnf(refute_0_203,plain,
( meet(meet(X_4,X_4),X_4) != X_4
| meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(meet(X_4,X_4),X_4)) != meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(meet(X_4,X_4),X_4))
| meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(meet(X_4,X_4),X_4)) = meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),X_4) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(meet(X_4,X_4),X_4)),meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(meet(X_4,X_4),X_4))) ),[1,1],$fot(X_4)]]) ).
cnf(refute_0_204,plain,
( meet(meet(X_4,X_4),X_4) != X_4
| meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(meet(X_4,X_4),X_4)) = meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),X_4) ),
inference(resolve,[$cnf( $equal(meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(meet(X_4,X_4),X_4)),meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(meet(X_4,X_4),X_4))) )],[refute_0_202,refute_0_203]) ).
cnf(refute_0_205,plain,
meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(meet(X_4,X_4),X_4)) = meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),X_4),
inference(resolve,[$cnf( $equal(meet(meet(X_4,X_4),X_4),X_4) )],[refute_0_201,refute_0_204]) ).
cnf(refute_0_206,plain,
join(meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(meet(X_4,X_4),X_4)),meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(X_4,X_4))) = join(meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(meet(X_4,X_4),X_4)),meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(X_4,X_4))),
introduced(tautology,[refl,[$fot(join(meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(meet(X_4,X_4),X_4)),meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(X_4,X_4))))]]) ).
cnf(refute_0_207,plain,
( join(meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(meet(X_4,X_4),X_4)),meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(X_4,X_4))) != join(meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(meet(X_4,X_4),X_4)),meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(X_4,X_4)))
| meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(meet(X_4,X_4),X_4)) != meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),X_4)
| join(meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(meet(X_4,X_4),X_4)),meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(X_4,X_4))) = join(meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),X_4),meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(X_4,X_4))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(meet(X_4,X_4),X_4)),meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(X_4,X_4))),join(meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(meet(X_4,X_4),X_4)),meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(X_4,X_4)))) ),[1,0],$fot(meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),X_4))]]) ).
cnf(refute_0_208,plain,
( meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(meet(X_4,X_4),X_4)) != meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),X_4)
| join(meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(meet(X_4,X_4),X_4)),meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(X_4,X_4))) = join(meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),X_4),meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(X_4,X_4))) ),
inference(resolve,[$cnf( $equal(join(meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(meet(X_4,X_4),X_4)),meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(X_4,X_4))),join(meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(meet(X_4,X_4),X_4)),meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(X_4,X_4)))) )],[refute_0_206,refute_0_207]) ).
cnf(refute_0_209,plain,
join(meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(meet(X_4,X_4),X_4)),meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(X_4,X_4))) = join(meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),X_4),meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(X_4,X_4))),
inference(resolve,[$cnf( $equal(meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(meet(X_4,X_4),X_4)),meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),X_4)) )],[refute_0_205,refute_0_208]) ).
cnf(refute_0_210,plain,
( join(meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(meet(X_4,X_4),X_4)),meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(X_4,X_4))) != join(meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),X_4),meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(X_4,X_4)))
| join(meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(meet(X_4,X_4),X_4)),meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(X_4,X_4))) != meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4)))
| join(meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),X_4),meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(X_4,X_4))) = meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(meet(X_4,X_4),X_4)),meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(X_4,X_4))),meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4)))) ),[0],$fot(join(meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),X_4),meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(X_4,X_4))))]]) ).
cnf(refute_0_211,plain,
( join(meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(meet(X_4,X_4),X_4)),meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(X_4,X_4))) != meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4)))
| join(meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),X_4),meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(X_4,X_4))) = meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))) ),
inference(resolve,[$cnf( $equal(join(meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(meet(X_4,X_4),X_4)),meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(X_4,X_4))),join(meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),X_4),meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(X_4,X_4)))) )],[refute_0_209,refute_0_210]) ).
cnf(refute_0_212,plain,
join(meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),X_4),meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(X_4,X_4))) = meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),
inference(resolve,[$cnf( $equal(join(meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(meet(X_4,X_4),X_4)),meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(X_4,X_4))),meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4)))) )],[refute_0_200,refute_0_211]) ).
cnf(refute_0_213,plain,
meet(X_4,X_4) = X_4,
inference(subst,[],[refute_0_35:[bind(X_34,$fot(X_4))]]) ).
cnf(refute_0_214,plain,
meet(meet(X_4,meet(X_5,join(X_4,X_4))),meet(X_4,X_4)) = meet(meet(X_4,meet(X_5,join(X_4,X_4))),meet(X_4,X_4)),
introduced(tautology,[refl,[$fot(meet(meet(X_4,meet(X_5,join(X_4,X_4))),meet(X_4,X_4)))]]) ).
cnf(refute_0_215,plain,
( meet(X_4,X_4) != X_4
| meet(meet(X_4,meet(X_5,join(X_4,X_4))),meet(X_4,X_4)) != meet(meet(X_4,meet(X_5,join(X_4,X_4))),meet(X_4,X_4))
| meet(meet(X_4,meet(X_5,join(X_4,X_4))),meet(X_4,X_4)) = meet(meet(X_4,meet(X_5,join(X_4,X_4))),X_4) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_4,meet(X_5,join(X_4,X_4))),meet(X_4,X_4)),meet(meet(X_4,meet(X_5,join(X_4,X_4))),meet(X_4,X_4))) ),[1,1],$fot(X_4)]]) ).
cnf(refute_0_216,plain,
( meet(X_4,X_4) != X_4
| meet(meet(X_4,meet(X_5,join(X_4,X_4))),meet(X_4,X_4)) = meet(meet(X_4,meet(X_5,join(X_4,X_4))),X_4) ),
inference(resolve,[$cnf( $equal(meet(meet(X_4,meet(X_5,join(X_4,X_4))),meet(X_4,X_4)),meet(meet(X_4,meet(X_5,join(X_4,X_4))),meet(X_4,X_4))) )],[refute_0_214,refute_0_215]) ).
cnf(refute_0_217,plain,
meet(meet(X_4,meet(X_5,join(X_4,X_4))),meet(X_4,X_4)) = meet(meet(X_4,meet(X_5,join(X_4,X_4))),X_4),
inference(resolve,[$cnf( $equal(meet(X_4,X_4),X_4) )],[refute_0_213,refute_0_216]) ).
cnf(refute_0_218,plain,
meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))) = meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),
introduced(tautology,[refl,[$fot(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))))]]) ).
cnf(refute_0_219,plain,
( meet(X_4,X_4) != X_4
| meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))) != meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4)))
| meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))) = meet(X_4,meet(X_5,join(X_4,X_4))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4)))) ),[1,0],$fot(X_4)]]) ).
cnf(refute_0_220,plain,
( meet(X_4,X_4) != X_4
| meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))) = meet(X_4,meet(X_5,join(X_4,X_4))) ),
inference(resolve,[$cnf( $equal(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4)))) )],[refute_0_218,refute_0_219]) ).
cnf(refute_0_221,plain,
meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))) = meet(X_4,meet(X_5,join(X_4,X_4))),
inference(resolve,[$cnf( $equal(meet(X_4,X_4),X_4) )],[refute_0_213,refute_0_220]) ).
cnf(refute_0_222,plain,
meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(X_4,X_4)) = meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(X_4,X_4)),
introduced(tautology,[refl,[$fot(meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(X_4,X_4)))]]) ).
cnf(refute_0_223,plain,
( meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))) != meet(X_4,meet(X_5,join(X_4,X_4)))
| meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(X_4,X_4)) != meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(X_4,X_4))
| meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(X_4,X_4)) = meet(meet(X_4,meet(X_5,join(X_4,X_4))),meet(X_4,X_4)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(X_4,X_4)),meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(X_4,X_4))) ),[1,0],$fot(meet(X_4,meet(X_5,join(X_4,X_4))))]]) ).
cnf(refute_0_224,plain,
( meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))) != meet(X_4,meet(X_5,join(X_4,X_4)))
| meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(X_4,X_4)) = meet(meet(X_4,meet(X_5,join(X_4,X_4))),meet(X_4,X_4)) ),
inference(resolve,[$cnf( $equal(meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(X_4,X_4)),meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(X_4,X_4))) )],[refute_0_222,refute_0_223]) ).
cnf(refute_0_225,plain,
meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(X_4,X_4)) = meet(meet(X_4,meet(X_5,join(X_4,X_4))),meet(X_4,X_4)),
inference(resolve,[$cnf( $equal(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(X_4,meet(X_5,join(X_4,X_4)))) )],[refute_0_221,refute_0_224]) ).
cnf(refute_0_226,plain,
( meet(meet(X_4,meet(X_5,join(X_4,X_4))),meet(X_4,X_4)) != meet(meet(X_4,meet(X_5,join(X_4,X_4))),X_4)
| meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(X_4,X_4)) != meet(meet(X_4,meet(X_5,join(X_4,X_4))),meet(X_4,X_4))
| meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(X_4,X_4)) = meet(meet(X_4,meet(X_5,join(X_4,X_4))),X_4) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(X_4,X_4)))),bind(Y0,$fot(meet(meet(X_4,meet(X_5,join(X_4,X_4))),meet(X_4,X_4)))),bind(Z0,$fot(meet(meet(X_4,meet(X_5,join(X_4,X_4))),X_4)))]]) ).
cnf(refute_0_227,plain,
( meet(meet(X_4,meet(X_5,join(X_4,X_4))),meet(X_4,X_4)) != meet(meet(X_4,meet(X_5,join(X_4,X_4))),X_4)
| meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(X_4,X_4)) = meet(meet(X_4,meet(X_5,join(X_4,X_4))),X_4) ),
inference(resolve,[$cnf( $equal(meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(X_4,X_4)),meet(meet(X_4,meet(X_5,join(X_4,X_4))),meet(X_4,X_4))) )],[refute_0_225,refute_0_226]) ).
cnf(refute_0_228,plain,
meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(X_4,X_4)) = meet(meet(X_4,meet(X_5,join(X_4,X_4))),X_4),
inference(resolve,[$cnf( $equal(meet(meet(X_4,meet(X_5,join(X_4,X_4))),meet(X_4,X_4)),meet(meet(X_4,meet(X_5,join(X_4,X_4))),X_4)) )],[refute_0_217,refute_0_227]) ).
cnf(refute_0_229,plain,
join(meet(meet(X_4,meet(X_5,join(X_4,X_4))),X_4),meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(X_4,X_4))) = join(meet(meet(X_4,meet(X_5,join(X_4,X_4))),X_4),meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(X_4,X_4))),
introduced(tautology,[refl,[$fot(join(meet(meet(X_4,meet(X_5,join(X_4,X_4))),X_4),meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(X_4,X_4))))]]) ).
cnf(refute_0_230,plain,
( join(meet(meet(X_4,meet(X_5,join(X_4,X_4))),X_4),meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(X_4,X_4))) != join(meet(meet(X_4,meet(X_5,join(X_4,X_4))),X_4),meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(X_4,X_4)))
| meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(X_4,X_4)) != meet(meet(X_4,meet(X_5,join(X_4,X_4))),X_4)
| join(meet(meet(X_4,meet(X_5,join(X_4,X_4))),X_4),meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(X_4,X_4))) = join(meet(meet(X_4,meet(X_5,join(X_4,X_4))),X_4),meet(meet(X_4,meet(X_5,join(X_4,X_4))),X_4)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(X_4,meet(X_5,join(X_4,X_4))),X_4),meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(X_4,X_4))),join(meet(meet(X_4,meet(X_5,join(X_4,X_4))),X_4),meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(X_4,X_4)))) ),[1,1],$fot(meet(meet(X_4,meet(X_5,join(X_4,X_4))),X_4))]]) ).
cnf(refute_0_231,plain,
( meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(X_4,X_4)) != meet(meet(X_4,meet(X_5,join(X_4,X_4))),X_4)
| join(meet(meet(X_4,meet(X_5,join(X_4,X_4))),X_4),meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(X_4,X_4))) = join(meet(meet(X_4,meet(X_5,join(X_4,X_4))),X_4),meet(meet(X_4,meet(X_5,join(X_4,X_4))),X_4)) ),
inference(resolve,[$cnf( $equal(join(meet(meet(X_4,meet(X_5,join(X_4,X_4))),X_4),meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(X_4,X_4))),join(meet(meet(X_4,meet(X_5,join(X_4,X_4))),X_4),meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(X_4,X_4)))) )],[refute_0_229,refute_0_230]) ).
cnf(refute_0_232,plain,
join(meet(meet(X_4,meet(X_5,join(X_4,X_4))),X_4),meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(X_4,X_4))) = join(meet(meet(X_4,meet(X_5,join(X_4,X_4))),X_4),meet(meet(X_4,meet(X_5,join(X_4,X_4))),X_4)),
inference(resolve,[$cnf( $equal(meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(X_4,X_4)),meet(meet(X_4,meet(X_5,join(X_4,X_4))),X_4)) )],[refute_0_228,refute_0_231]) ).
cnf(refute_0_233,plain,
meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),X_4) = meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),X_4),
introduced(tautology,[refl,[$fot(meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),X_4))]]) ).
cnf(refute_0_234,plain,
( meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))) != meet(X_4,meet(X_5,join(X_4,X_4)))
| meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),X_4) != meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),X_4)
| meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),X_4) = meet(meet(X_4,meet(X_5,join(X_4,X_4))),X_4) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),X_4),meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),X_4)) ),[1,0],$fot(meet(X_4,meet(X_5,join(X_4,X_4))))]]) ).
cnf(refute_0_235,plain,
( meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))) != meet(X_4,meet(X_5,join(X_4,X_4)))
| meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),X_4) = meet(meet(X_4,meet(X_5,join(X_4,X_4))),X_4) ),
inference(resolve,[$cnf( $equal(meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),X_4),meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),X_4)) )],[refute_0_233,refute_0_234]) ).
cnf(refute_0_236,plain,
meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),X_4) = meet(meet(X_4,meet(X_5,join(X_4,X_4))),X_4),
inference(resolve,[$cnf( $equal(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(X_4,meet(X_5,join(X_4,X_4)))) )],[refute_0_221,refute_0_235]) ).
cnf(refute_0_237,plain,
join(meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),X_4),meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(X_4,X_4))) = join(meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),X_4),meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(X_4,X_4))),
introduced(tautology,[refl,[$fot(join(meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),X_4),meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(X_4,X_4))))]]) ).
cnf(refute_0_238,plain,
( join(meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),X_4),meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(X_4,X_4))) != join(meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),X_4),meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(X_4,X_4)))
| meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),X_4) != meet(meet(X_4,meet(X_5,join(X_4,X_4))),X_4)
| join(meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),X_4),meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(X_4,X_4))) = join(meet(meet(X_4,meet(X_5,join(X_4,X_4))),X_4),meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(X_4,X_4))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),X_4),meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(X_4,X_4))),join(meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),X_4),meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(X_4,X_4)))) ),[1,0],$fot(meet(meet(X_4,meet(X_5,join(X_4,X_4))),X_4))]]) ).
cnf(refute_0_239,plain,
( meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),X_4) != meet(meet(X_4,meet(X_5,join(X_4,X_4))),X_4)
| join(meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),X_4),meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(X_4,X_4))) = join(meet(meet(X_4,meet(X_5,join(X_4,X_4))),X_4),meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(X_4,X_4))) ),
inference(resolve,[$cnf( $equal(join(meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),X_4),meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(X_4,X_4))),join(meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),X_4),meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(X_4,X_4)))) )],[refute_0_237,refute_0_238]) ).
cnf(refute_0_240,plain,
join(meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),X_4),meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(X_4,X_4))) = join(meet(meet(X_4,meet(X_5,join(X_4,X_4))),X_4),meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(X_4,X_4))),
inference(resolve,[$cnf( $equal(meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),X_4),meet(meet(X_4,meet(X_5,join(X_4,X_4))),X_4)) )],[refute_0_236,refute_0_239]) ).
cnf(refute_0_241,plain,
( join(meet(meet(X_4,meet(X_5,join(X_4,X_4))),X_4),meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(X_4,X_4))) != join(meet(meet(X_4,meet(X_5,join(X_4,X_4))),X_4),meet(meet(X_4,meet(X_5,join(X_4,X_4))),X_4))
| join(meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),X_4),meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(X_4,X_4))) != join(meet(meet(X_4,meet(X_5,join(X_4,X_4))),X_4),meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(X_4,X_4)))
| join(meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),X_4),meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(X_4,X_4))) = join(meet(meet(X_4,meet(X_5,join(X_4,X_4))),X_4),meet(meet(X_4,meet(X_5,join(X_4,X_4))),X_4)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(join(meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),X_4),meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(X_4,X_4))))),bind(Y0,$fot(join(meet(meet(X_4,meet(X_5,join(X_4,X_4))),X_4),meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(X_4,X_4))))),bind(Z0,$fot(join(meet(meet(X_4,meet(X_5,join(X_4,X_4))),X_4),meet(meet(X_4,meet(X_5,join(X_4,X_4))),X_4))))]]) ).
cnf(refute_0_242,plain,
( join(meet(meet(X_4,meet(X_5,join(X_4,X_4))),X_4),meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(X_4,X_4))) != join(meet(meet(X_4,meet(X_5,join(X_4,X_4))),X_4),meet(meet(X_4,meet(X_5,join(X_4,X_4))),X_4))
| join(meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),X_4),meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(X_4,X_4))) = join(meet(meet(X_4,meet(X_5,join(X_4,X_4))),X_4),meet(meet(X_4,meet(X_5,join(X_4,X_4))),X_4)) ),
inference(resolve,[$cnf( $equal(join(meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),X_4),meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(X_4,X_4))),join(meet(meet(X_4,meet(X_5,join(X_4,X_4))),X_4),meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(X_4,X_4)))) )],[refute_0_240,refute_0_241]) ).
cnf(refute_0_243,plain,
join(meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),X_4),meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(X_4,X_4))) = join(meet(meet(X_4,meet(X_5,join(X_4,X_4))),X_4),meet(meet(X_4,meet(X_5,join(X_4,X_4))),X_4)),
inference(resolve,[$cnf( $equal(join(meet(meet(X_4,meet(X_5,join(X_4,X_4))),X_4),meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(X_4,X_4))),join(meet(meet(X_4,meet(X_5,join(X_4,X_4))),X_4),meet(meet(X_4,meet(X_5,join(X_4,X_4))),X_4))) )],[refute_0_232,refute_0_242]) ).
cnf(refute_0_244,plain,
( join(meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),X_4),meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(X_4,X_4))) != join(meet(meet(X_4,meet(X_5,join(X_4,X_4))),X_4),meet(meet(X_4,meet(X_5,join(X_4,X_4))),X_4))
| join(meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),X_4),meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(X_4,X_4))) != meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4)))
| join(meet(meet(X_4,meet(X_5,join(X_4,X_4))),X_4),meet(meet(X_4,meet(X_5,join(X_4,X_4))),X_4)) = meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),X_4),meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(X_4,X_4))),meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4)))) ),[0],$fot(join(meet(meet(X_4,meet(X_5,join(X_4,X_4))),X_4),meet(meet(X_4,meet(X_5,join(X_4,X_4))),X_4)))]]) ).
cnf(refute_0_245,plain,
( join(meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),X_4),meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(X_4,X_4))) != meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4)))
| join(meet(meet(X_4,meet(X_5,join(X_4,X_4))),X_4),meet(meet(X_4,meet(X_5,join(X_4,X_4))),X_4)) = meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))) ),
inference(resolve,[$cnf( $equal(join(meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),X_4),meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(X_4,X_4))),join(meet(meet(X_4,meet(X_5,join(X_4,X_4))),X_4),meet(meet(X_4,meet(X_5,join(X_4,X_4))),X_4))) )],[refute_0_243,refute_0_244]) ).
cnf(refute_0_246,plain,
( join(meet(meet(X_4,meet(X_5,join(X_4,X_4))),X_4),meet(meet(X_4,meet(X_5,join(X_4,X_4))),X_4)) != meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4)))
| meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))) != meet(X_4,meet(X_5,join(X_4,X_4)))
| join(meet(meet(X_4,meet(X_5,join(X_4,X_4))),X_4),meet(meet(X_4,meet(X_5,join(X_4,X_4))),X_4)) = meet(X_4,meet(X_5,join(X_4,X_4))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(meet(meet(X_4,meet(X_5,join(X_4,X_4))),X_4),meet(meet(X_4,meet(X_5,join(X_4,X_4))),X_4)),meet(X_4,meet(X_5,join(X_4,X_4)))) ),[0],$fot(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))))]]) ).
cnf(refute_0_247,plain,
( join(meet(meet(X_4,meet(X_5,join(X_4,X_4))),X_4),meet(meet(X_4,meet(X_5,join(X_4,X_4))),X_4)) != meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4)))
| join(meet(meet(X_4,meet(X_5,join(X_4,X_4))),X_4),meet(meet(X_4,meet(X_5,join(X_4,X_4))),X_4)) = meet(X_4,meet(X_5,join(X_4,X_4))) ),
inference(resolve,[$cnf( $equal(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(X_4,meet(X_5,join(X_4,X_4)))) )],[refute_0_221,refute_0_246]) ).
cnf(refute_0_248,plain,
( join(meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),X_4),meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(X_4,X_4))) != meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4)))
| join(meet(meet(X_4,meet(X_5,join(X_4,X_4))),X_4),meet(meet(X_4,meet(X_5,join(X_4,X_4))),X_4)) = meet(X_4,meet(X_5,join(X_4,X_4))) ),
inference(resolve,[$cnf( $equal(join(meet(meet(X_4,meet(X_5,join(X_4,X_4))),X_4),meet(meet(X_4,meet(X_5,join(X_4,X_4))),X_4)),meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4)))) )],[refute_0_245,refute_0_247]) ).
cnf(refute_0_249,plain,
join(meet(meet(X_4,meet(X_5,join(X_4,X_4))),X_4),meet(meet(X_4,meet(X_5,join(X_4,X_4))),X_4)) = meet(X_4,meet(X_5,join(X_4,X_4))),
inference(resolve,[$cnf( $equal(join(meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),X_4),meet(meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4))),meet(X_4,X_4))),meet(meet(X_4,X_4),meet(X_5,join(X_4,X_4)))) )],[refute_0_212,refute_0_248]) ).
cnf(refute_0_250,plain,
join(X_4,X_4) = X_4,
inference(subst,[],[refute_0_152:[bind(X_11,$fot(X_4))]]) ).
cnf(refute_0_251,plain,
meet(X_5,join(X_4,X_4)) = meet(X_5,join(X_4,X_4)),
introduced(tautology,[refl,[$fot(meet(X_5,join(X_4,X_4)))]]) ).
cnf(refute_0_252,plain,
( join(X_4,X_4) != X_4
| meet(X_5,join(X_4,X_4)) != meet(X_5,join(X_4,X_4))
| meet(X_5,join(X_4,X_4)) = meet(X_5,X_4) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_5,join(X_4,X_4)),meet(X_5,join(X_4,X_4))) ),[1,1],$fot(X_4)]]) ).
cnf(refute_0_253,plain,
( join(X_4,X_4) != X_4
| meet(X_5,join(X_4,X_4)) = meet(X_5,X_4) ),
inference(resolve,[$cnf( $equal(meet(X_5,join(X_4,X_4)),meet(X_5,join(X_4,X_4))) )],[refute_0_251,refute_0_252]) ).
cnf(refute_0_254,plain,
meet(X_5,join(X_4,X_4)) = meet(X_5,X_4),
inference(resolve,[$cnf( $equal(join(X_4,X_4),X_4) )],[refute_0_250,refute_0_253]) ).
cnf(refute_0_255,plain,
meet(X_4,meet(X_5,join(X_4,X_4))) = meet(X_4,meet(X_5,join(X_4,X_4))),
introduced(tautology,[refl,[$fot(meet(X_4,meet(X_5,join(X_4,X_4))))]]) ).
cnf(refute_0_256,plain,
( meet(X_4,meet(X_5,join(X_4,X_4))) != meet(X_4,meet(X_5,join(X_4,X_4)))
| meet(X_5,join(X_4,X_4)) != meet(X_5,X_4)
| meet(X_4,meet(X_5,join(X_4,X_4))) = meet(X_4,meet(X_5,X_4)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_4,meet(X_5,join(X_4,X_4))),meet(X_4,meet(X_5,join(X_4,X_4)))) ),[1,1],$fot(meet(X_5,X_4))]]) ).
cnf(refute_0_257,plain,
( meet(X_5,join(X_4,X_4)) != meet(X_5,X_4)
| meet(X_4,meet(X_5,join(X_4,X_4))) = meet(X_4,meet(X_5,X_4)) ),
inference(resolve,[$cnf( $equal(meet(X_4,meet(X_5,join(X_4,X_4))),meet(X_4,meet(X_5,join(X_4,X_4)))) )],[refute_0_255,refute_0_256]) ).
cnf(refute_0_258,plain,
meet(X_4,meet(X_5,join(X_4,X_4))) = meet(X_4,meet(X_5,X_4)),
inference(resolve,[$cnf( $equal(meet(X_5,join(X_4,X_4)),meet(X_5,X_4)) )],[refute_0_254,refute_0_257]) ).
cnf(refute_0_259,plain,
meet(meet(X_4,meet(X_5,join(X_4,X_4))),X_4) = meet(meet(X_4,meet(X_5,join(X_4,X_4))),X_4),
introduced(tautology,[refl,[$fot(meet(meet(X_4,meet(X_5,join(X_4,X_4))),X_4))]]) ).
cnf(refute_0_260,plain,
( meet(X_4,meet(X_5,join(X_4,X_4))) != meet(X_4,meet(X_5,X_4))
| meet(meet(X_4,meet(X_5,join(X_4,X_4))),X_4) != meet(meet(X_4,meet(X_5,join(X_4,X_4))),X_4)
| meet(meet(X_4,meet(X_5,join(X_4,X_4))),X_4) = meet(meet(X_4,meet(X_5,X_4)),X_4) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_4,meet(X_5,join(X_4,X_4))),X_4),meet(meet(X_4,meet(X_5,join(X_4,X_4))),X_4)) ),[1,0],$fot(meet(X_4,meet(X_5,X_4)))]]) ).
cnf(refute_0_261,plain,
( meet(X_4,meet(X_5,join(X_4,X_4))) != meet(X_4,meet(X_5,X_4))
| meet(meet(X_4,meet(X_5,join(X_4,X_4))),X_4) = meet(meet(X_4,meet(X_5,X_4)),X_4) ),
inference(resolve,[$cnf( $equal(meet(meet(X_4,meet(X_5,join(X_4,X_4))),X_4),meet(meet(X_4,meet(X_5,join(X_4,X_4))),X_4)) )],[refute_0_259,refute_0_260]) ).
cnf(refute_0_262,plain,
meet(meet(X_4,meet(X_5,join(X_4,X_4))),X_4) = meet(meet(X_4,meet(X_5,X_4)),X_4),
inference(resolve,[$cnf( $equal(meet(X_4,meet(X_5,join(X_4,X_4))),meet(X_4,meet(X_5,X_4))) )],[refute_0_258,refute_0_261]) ).
cnf(refute_0_263,plain,
join(meet(meet(X_4,meet(X_5,join(X_4,X_4))),X_4),meet(meet(X_4,meet(X_5,join(X_4,X_4))),X_4)) = meet(meet(X_4,meet(X_5,join(X_4,X_4))),X_4),
inference(subst,[],[refute_0_152:[bind(X_11,$fot(meet(meet(X_4,meet(X_5,join(X_4,X_4))),X_4)))]]) ).
cnf(refute_0_264,plain,
( join(meet(meet(X_4,meet(X_5,join(X_4,X_4))),X_4),meet(meet(X_4,meet(X_5,join(X_4,X_4))),X_4)) != meet(meet(X_4,meet(X_5,join(X_4,X_4))),X_4)
| meet(meet(X_4,meet(X_5,join(X_4,X_4))),X_4) != meet(meet(X_4,meet(X_5,X_4)),X_4)
| join(meet(meet(X_4,meet(X_5,join(X_4,X_4))),X_4),meet(meet(X_4,meet(X_5,join(X_4,X_4))),X_4)) = meet(meet(X_4,meet(X_5,X_4)),X_4) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(join(meet(meet(X_4,meet(X_5,join(X_4,X_4))),X_4),meet(meet(X_4,meet(X_5,join(X_4,X_4))),X_4)))),bind(Y0,$fot(meet(meet(X_4,meet(X_5,join(X_4,X_4))),X_4))),bind(Z0,$fot(meet(meet(X_4,meet(X_5,X_4)),X_4)))]]) ).
cnf(refute_0_265,plain,
( meet(meet(X_4,meet(X_5,join(X_4,X_4))),X_4) != meet(meet(X_4,meet(X_5,X_4)),X_4)
| join(meet(meet(X_4,meet(X_5,join(X_4,X_4))),X_4),meet(meet(X_4,meet(X_5,join(X_4,X_4))),X_4)) = meet(meet(X_4,meet(X_5,X_4)),X_4) ),
inference(resolve,[$cnf( $equal(join(meet(meet(X_4,meet(X_5,join(X_4,X_4))),X_4),meet(meet(X_4,meet(X_5,join(X_4,X_4))),X_4)),meet(meet(X_4,meet(X_5,join(X_4,X_4))),X_4)) )],[refute_0_263,refute_0_264]) ).
cnf(refute_0_266,plain,
join(meet(meet(X_4,meet(X_5,join(X_4,X_4))),X_4),meet(meet(X_4,meet(X_5,join(X_4,X_4))),X_4)) = meet(meet(X_4,meet(X_5,X_4)),X_4),
inference(resolve,[$cnf( $equal(meet(meet(X_4,meet(X_5,join(X_4,X_4))),X_4),meet(meet(X_4,meet(X_5,X_4)),X_4)) )],[refute_0_262,refute_0_265]) ).
cnf(refute_0_267,plain,
( join(meet(meet(X_4,meet(X_5,join(X_4,X_4))),X_4),meet(meet(X_4,meet(X_5,join(X_4,X_4))),X_4)) != meet(X_4,meet(X_5,join(X_4,X_4)))
| join(meet(meet(X_4,meet(X_5,join(X_4,X_4))),X_4),meet(meet(X_4,meet(X_5,join(X_4,X_4))),X_4)) != meet(meet(X_4,meet(X_5,X_4)),X_4)
| meet(meet(X_4,meet(X_5,X_4)),X_4) = meet(X_4,meet(X_5,join(X_4,X_4))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(X_4,meet(X_5,join(X_4,X_4))),X_4),meet(meet(X_4,meet(X_5,join(X_4,X_4))),X_4)),meet(X_4,meet(X_5,join(X_4,X_4)))) ),[0],$fot(meet(meet(X_4,meet(X_5,X_4)),X_4))]]) ).
cnf(refute_0_268,plain,
( join(meet(meet(X_4,meet(X_5,join(X_4,X_4))),X_4),meet(meet(X_4,meet(X_5,join(X_4,X_4))),X_4)) != meet(X_4,meet(X_5,join(X_4,X_4)))
| meet(meet(X_4,meet(X_5,X_4)),X_4) = meet(X_4,meet(X_5,join(X_4,X_4))) ),
inference(resolve,[$cnf( $equal(join(meet(meet(X_4,meet(X_5,join(X_4,X_4))),X_4),meet(meet(X_4,meet(X_5,join(X_4,X_4))),X_4)),meet(meet(X_4,meet(X_5,X_4)),X_4)) )],[refute_0_266,refute_0_267]) ).
cnf(refute_0_269,plain,
( meet(X_4,meet(X_5,join(X_4,X_4))) != meet(X_4,meet(X_5,X_4))
| meet(meet(X_4,meet(X_5,X_4)),X_4) != meet(X_4,meet(X_5,join(X_4,X_4)))
| meet(meet(X_4,meet(X_5,X_4)),X_4) = meet(X_4,meet(X_5,X_4)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_4,meet(X_5,X_4)),X_4),meet(X_4,meet(X_5,join(X_4,X_4)))) ),[1],$fot(meet(X_4,meet(X_5,X_4)))]]) ).
cnf(refute_0_270,plain,
( meet(meet(X_4,meet(X_5,X_4)),X_4) != meet(X_4,meet(X_5,join(X_4,X_4)))
| meet(meet(X_4,meet(X_5,X_4)),X_4) = meet(X_4,meet(X_5,X_4)) ),
inference(resolve,[$cnf( $equal(meet(X_4,meet(X_5,join(X_4,X_4))),meet(X_4,meet(X_5,X_4))) )],[refute_0_258,refute_0_269]) ).
cnf(refute_0_271,plain,
( join(meet(meet(X_4,meet(X_5,join(X_4,X_4))),X_4),meet(meet(X_4,meet(X_5,join(X_4,X_4))),X_4)) != meet(X_4,meet(X_5,join(X_4,X_4)))
| meet(meet(X_4,meet(X_5,X_4)),X_4) = meet(X_4,meet(X_5,X_4)) ),
inference(resolve,[$cnf( $equal(meet(meet(X_4,meet(X_5,X_4)),X_4),meet(X_4,meet(X_5,join(X_4,X_4)))) )],[refute_0_268,refute_0_270]) ).
cnf(refute_0_272,plain,
meet(meet(X_4,meet(X_5,X_4)),X_4) = meet(X_4,meet(X_5,X_4)),
inference(resolve,[$cnf( $equal(join(meet(meet(X_4,meet(X_5,join(X_4,X_4))),X_4),meet(meet(X_4,meet(X_5,join(X_4,X_4))),X_4)),meet(X_4,meet(X_5,join(X_4,X_4)))) )],[refute_0_249,refute_0_271]) ).
cnf(refute_0_273,plain,
join(join(meet(meet(X_32,meet(X_31,X_32)),meet(X_31,X_32)),meet(X_32,meet(X_31,X_32))),meet(X_32,meet(X_31,X_32))) = meet(X_32,meet(X_31,X_32)),
inference(subst,[],[refute_0_191:[bind(X_12,$fot(meet(X_32,meet(X_31,X_32)))),bind(X_13,$fot(meet(X_31,X_32)))]]) ).
cnf(refute_0_274,plain,
meet(meet(join(meet(X,Y),meet(Y,join(X,Y))),meet(X,Y)),meet(X,Y)) = meet(X,Y),
inference(subst,[],[refute_0_4:[bind(X,$fot(meet(X,Y))),bind(Y,$fot(meet(Y,join(X,Y))))]]) ).
cnf(refute_0_275,plain,
( join(meet(X,Y),meet(Y,join(X,Y))) != Y
| meet(meet(join(meet(X,Y),meet(Y,join(X,Y))),meet(X,Y)),meet(X,Y)) != meet(X,Y)
| meet(meet(Y,meet(X,Y)),meet(X,Y)) = meet(X,Y) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(join(meet(X,Y),meet(Y,join(X,Y))),meet(X,Y)),meet(X,Y)),meet(X,Y)) ),[0,0,0],$fot(Y)]]) ).
cnf(refute_0_276,plain,
( meet(meet(join(meet(X,Y),meet(Y,join(X,Y))),meet(X,Y)),meet(X,Y)) != meet(X,Y)
| meet(meet(Y,meet(X,Y)),meet(X,Y)) = meet(X,Y) ),
inference(resolve,[$cnf( $equal(join(meet(X,Y),meet(Y,join(X,Y))),Y) )],[wal_absorbtion_3,refute_0_275]) ).
cnf(refute_0_277,plain,
meet(meet(Y,meet(X,Y)),meet(X,Y)) = meet(X,Y),
inference(resolve,[$cnf( $equal(meet(meet(join(meet(X,Y),meet(Y,join(X,Y))),meet(X,Y)),meet(X,Y)),meet(X,Y)) )],[refute_0_274,refute_0_276]) ).
cnf(refute_0_278,plain,
meet(meet(X_32,meet(X_31,X_32)),meet(X_31,X_32)) = meet(X_31,X_32),
inference(subst,[],[refute_0_277:[bind(X,$fot(X_31)),bind(Y,$fot(X_32))]]) ).
cnf(refute_0_279,plain,
( join(join(meet(meet(X_32,meet(X_31,X_32)),meet(X_31,X_32)),meet(X_32,meet(X_31,X_32))),meet(X_32,meet(X_31,X_32))) != meet(X_32,meet(X_31,X_32))
| meet(meet(X_32,meet(X_31,X_32)),meet(X_31,X_32)) != meet(X_31,X_32)
| join(join(meet(X_31,X_32),meet(X_32,meet(X_31,X_32))),meet(X_32,meet(X_31,X_32))) = meet(X_32,meet(X_31,X_32)) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(meet(meet(X_32,meet(X_31,X_32)),meet(X_31,X_32)),meet(X_32,meet(X_31,X_32))),meet(X_32,meet(X_31,X_32))),meet(X_32,meet(X_31,X_32))) ),[0,0,0],$fot(meet(X_31,X_32))]]) ).
cnf(refute_0_280,plain,
( join(join(meet(meet(X_32,meet(X_31,X_32)),meet(X_31,X_32)),meet(X_32,meet(X_31,X_32))),meet(X_32,meet(X_31,X_32))) != meet(X_32,meet(X_31,X_32))
| join(join(meet(X_31,X_32),meet(X_32,meet(X_31,X_32))),meet(X_32,meet(X_31,X_32))) = meet(X_32,meet(X_31,X_32)) ),
inference(resolve,[$cnf( $equal(meet(meet(X_32,meet(X_31,X_32)),meet(X_31,X_32)),meet(X_31,X_32)) )],[refute_0_278,refute_0_279]) ).
cnf(refute_0_281,plain,
join(join(meet(X_31,X_32),meet(X_32,meet(X_31,X_32))),meet(X_32,meet(X_31,X_32))) = meet(X_32,meet(X_31,X_32)),
inference(resolve,[$cnf( $equal(join(join(meet(meet(X_32,meet(X_31,X_32)),meet(X_31,X_32)),meet(X_32,meet(X_31,X_32))),meet(X_32,meet(X_31,X_32))),meet(X_32,meet(X_31,X_32))) )],[refute_0_273,refute_0_280]) ).
cnf(refute_0_282,plain,
join(meet(X_31,X_32),meet(X_32,meet(X_31,X_32))) = meet(X_31,X_32),
inference(subst,[],[refute_0_183:[bind(X,$fot(meet(X_31,X_32))),bind(Y,$fot(X_32))]]) ).
cnf(refute_0_283,plain,
join(join(meet(X_31,X_32),meet(X_32,meet(X_31,X_32))),meet(X_32,meet(X_31,X_32))) = join(join(meet(X_31,X_32),meet(X_32,meet(X_31,X_32))),meet(X_32,meet(X_31,X_32))),
introduced(tautology,[refl,[$fot(join(join(meet(X_31,X_32),meet(X_32,meet(X_31,X_32))),meet(X_32,meet(X_31,X_32))))]]) ).
cnf(refute_0_284,plain,
( join(join(meet(X_31,X_32),meet(X_32,meet(X_31,X_32))),meet(X_32,meet(X_31,X_32))) != join(join(meet(X_31,X_32),meet(X_32,meet(X_31,X_32))),meet(X_32,meet(X_31,X_32)))
| join(meet(X_31,X_32),meet(X_32,meet(X_31,X_32))) != meet(X_31,X_32)
| join(join(meet(X_31,X_32),meet(X_32,meet(X_31,X_32))),meet(X_32,meet(X_31,X_32))) = join(meet(X_31,X_32),meet(X_32,meet(X_31,X_32))) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(meet(X_31,X_32),meet(X_32,meet(X_31,X_32))),meet(X_32,meet(X_31,X_32))),join(join(meet(X_31,X_32),meet(X_32,meet(X_31,X_32))),meet(X_32,meet(X_31,X_32)))) ),[1,0],$fot(meet(X_31,X_32))]]) ).
cnf(refute_0_285,plain,
( join(meet(X_31,X_32),meet(X_32,meet(X_31,X_32))) != meet(X_31,X_32)
| join(join(meet(X_31,X_32),meet(X_32,meet(X_31,X_32))),meet(X_32,meet(X_31,X_32))) = join(meet(X_31,X_32),meet(X_32,meet(X_31,X_32))) ),
inference(resolve,[$cnf( $equal(join(join(meet(X_31,X_32),meet(X_32,meet(X_31,X_32))),meet(X_32,meet(X_31,X_32))),join(join(meet(X_31,X_32),meet(X_32,meet(X_31,X_32))),meet(X_32,meet(X_31,X_32)))) )],[refute_0_283,refute_0_284]) ).
cnf(refute_0_286,plain,
join(join(meet(X_31,X_32),meet(X_32,meet(X_31,X_32))),meet(X_32,meet(X_31,X_32))) = join(meet(X_31,X_32),meet(X_32,meet(X_31,X_32))),
inference(resolve,[$cnf( $equal(join(meet(X_31,X_32),meet(X_32,meet(X_31,X_32))),meet(X_31,X_32)) )],[refute_0_282,refute_0_285]) ).
cnf(refute_0_287,plain,
( join(join(meet(X_31,X_32),meet(X_32,meet(X_31,X_32))),meet(X_32,meet(X_31,X_32))) != join(meet(X_31,X_32),meet(X_32,meet(X_31,X_32)))
| join(meet(X_31,X_32),meet(X_32,meet(X_31,X_32))) != meet(X_31,X_32)
| join(join(meet(X_31,X_32),meet(X_32,meet(X_31,X_32))),meet(X_32,meet(X_31,X_32))) = meet(X_31,X_32) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(join(join(meet(X_31,X_32),meet(X_32,meet(X_31,X_32))),meet(X_32,meet(X_31,X_32))))),bind(Y0,$fot(join(meet(X_31,X_32),meet(X_32,meet(X_31,X_32))))),bind(Z0,$fot(meet(X_31,X_32)))]]) ).
cnf(refute_0_288,plain,
( join(meet(X_31,X_32),meet(X_32,meet(X_31,X_32))) != meet(X_31,X_32)
| join(join(meet(X_31,X_32),meet(X_32,meet(X_31,X_32))),meet(X_32,meet(X_31,X_32))) = meet(X_31,X_32) ),
inference(resolve,[$cnf( $equal(join(join(meet(X_31,X_32),meet(X_32,meet(X_31,X_32))),meet(X_32,meet(X_31,X_32))),join(meet(X_31,X_32),meet(X_32,meet(X_31,X_32)))) )],[refute_0_286,refute_0_287]) ).
cnf(refute_0_289,plain,
join(join(meet(X_31,X_32),meet(X_32,meet(X_31,X_32))),meet(X_32,meet(X_31,X_32))) = meet(X_31,X_32),
inference(resolve,[$cnf( $equal(join(meet(X_31,X_32),meet(X_32,meet(X_31,X_32))),meet(X_31,X_32)) )],[refute_0_282,refute_0_288]) ).
cnf(refute_0_290,plain,
( join(join(meet(X_31,X_32),meet(X_32,meet(X_31,X_32))),meet(X_32,meet(X_31,X_32))) != meet(X_31,X_32)
| join(join(meet(X_31,X_32),meet(X_32,meet(X_31,X_32))),meet(X_32,meet(X_31,X_32))) != meet(X_32,meet(X_31,X_32))
| meet(X_31,X_32) = meet(X_32,meet(X_31,X_32)) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(meet(X_31,X_32),meet(X_32,meet(X_31,X_32))),meet(X_32,meet(X_31,X_32))),meet(X_32,meet(X_31,X_32))) ),[0],$fot(meet(X_31,X_32))]]) ).
cnf(refute_0_291,plain,
( join(join(meet(X_31,X_32),meet(X_32,meet(X_31,X_32))),meet(X_32,meet(X_31,X_32))) != meet(X_32,meet(X_31,X_32))
| meet(X_31,X_32) = meet(X_32,meet(X_31,X_32)) ),
inference(resolve,[$cnf( $equal(join(join(meet(X_31,X_32),meet(X_32,meet(X_31,X_32))),meet(X_32,meet(X_31,X_32))),meet(X_31,X_32)) )],[refute_0_289,refute_0_290]) ).
cnf(refute_0_292,plain,
meet(X_31,X_32) = meet(X_32,meet(X_31,X_32)),
inference(resolve,[$cnf( $equal(join(join(meet(X_31,X_32),meet(X_32,meet(X_31,X_32))),meet(X_32,meet(X_31,X_32))),meet(X_32,meet(X_31,X_32))) )],[refute_0_281,refute_0_291]) ).
cnf(refute_0_293,plain,
( meet(X_31,X_32) != meet(X_32,meet(X_31,X_32))
| meet(X_32,meet(X_31,X_32)) = meet(X_31,X_32) ),
inference(subst,[],[refute_0_20:[bind(X0,$fot(meet(X_31,X_32))),bind(Y0,$fot(meet(X_32,meet(X_31,X_32))))]]) ).
cnf(refute_0_294,plain,
meet(X_32,meet(X_31,X_32)) = meet(X_31,X_32),
inference(resolve,[$cnf( $equal(meet(X_31,X_32),meet(X_32,meet(X_31,X_32))) )],[refute_0_292,refute_0_293]) ).
cnf(refute_0_295,plain,
meet(X_4,meet(X_5,X_4)) = meet(X_5,X_4),
inference(subst,[],[refute_0_294:[bind(X_31,$fot(X_5)),bind(X_32,$fot(X_4))]]) ).
cnf(refute_0_296,plain,
meet(meet(X_4,meet(X_5,X_4)),X_4) = meet(meet(X_4,meet(X_5,X_4)),X_4),
introduced(tautology,[refl,[$fot(meet(meet(X_4,meet(X_5,X_4)),X_4))]]) ).
cnf(refute_0_297,plain,
( meet(X_4,meet(X_5,X_4)) != meet(X_5,X_4)
| meet(meet(X_4,meet(X_5,X_4)),X_4) != meet(meet(X_4,meet(X_5,X_4)),X_4)
| meet(meet(X_4,meet(X_5,X_4)),X_4) = meet(meet(X_5,X_4),X_4) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_4,meet(X_5,X_4)),X_4),meet(meet(X_4,meet(X_5,X_4)),X_4)) ),[1,0],$fot(meet(X_5,X_4))]]) ).
cnf(refute_0_298,plain,
( meet(X_4,meet(X_5,X_4)) != meet(X_5,X_4)
| meet(meet(X_4,meet(X_5,X_4)),X_4) = meet(meet(X_5,X_4),X_4) ),
inference(resolve,[$cnf( $equal(meet(meet(X_4,meet(X_5,X_4)),X_4),meet(meet(X_4,meet(X_5,X_4)),X_4)) )],[refute_0_296,refute_0_297]) ).
cnf(refute_0_299,plain,
meet(meet(X_4,meet(X_5,X_4)),X_4) = meet(meet(X_5,X_4),X_4),
inference(resolve,[$cnf( $equal(meet(X_4,meet(X_5,X_4)),meet(X_5,X_4)) )],[refute_0_295,refute_0_298]) ).
cnf(refute_0_300,plain,
( meet(meet(X_4,meet(X_5,X_4)),X_4) != meet(X_4,meet(X_5,X_4))
| meet(meet(X_4,meet(X_5,X_4)),X_4) != meet(meet(X_5,X_4),X_4)
| meet(meet(X_5,X_4),X_4) = meet(X_4,meet(X_5,X_4)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_4,meet(X_5,X_4)),X_4),meet(X_4,meet(X_5,X_4))) ),[0],$fot(meet(meet(X_5,X_4),X_4))]]) ).
cnf(refute_0_301,plain,
( meet(meet(X_4,meet(X_5,X_4)),X_4) != meet(X_4,meet(X_5,X_4))
| meet(meet(X_5,X_4),X_4) = meet(X_4,meet(X_5,X_4)) ),
inference(resolve,[$cnf( $equal(meet(meet(X_4,meet(X_5,X_4)),X_4),meet(meet(X_5,X_4),X_4)) )],[refute_0_299,refute_0_300]) ).
cnf(refute_0_302,plain,
( meet(X_4,meet(X_5,X_4)) != meet(X_5,X_4)
| meet(meet(X_5,X_4),X_4) != meet(X_4,meet(X_5,X_4))
| meet(meet(X_5,X_4),X_4) = meet(X_5,X_4) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_5,X_4),X_4),meet(X_4,meet(X_5,X_4))) ),[1],$fot(meet(X_5,X_4))]]) ).
cnf(refute_0_303,plain,
( meet(meet(X_5,X_4),X_4) != meet(X_4,meet(X_5,X_4))
| meet(meet(X_5,X_4),X_4) = meet(X_5,X_4) ),
inference(resolve,[$cnf( $equal(meet(X_4,meet(X_5,X_4)),meet(X_5,X_4)) )],[refute_0_295,refute_0_302]) ).
cnf(refute_0_304,plain,
( meet(meet(X_4,meet(X_5,X_4)),X_4) != meet(X_4,meet(X_5,X_4))
| meet(meet(X_5,X_4),X_4) = meet(X_5,X_4) ),
inference(resolve,[$cnf( $equal(meet(meet(X_5,X_4),X_4),meet(X_4,meet(X_5,X_4))) )],[refute_0_301,refute_0_303]) ).
cnf(refute_0_305,plain,
meet(meet(X_5,X_4),X_4) = meet(X_5,X_4),
inference(resolve,[$cnf( $equal(meet(meet(X_4,meet(X_5,X_4)),X_4),meet(X_4,meet(X_5,X_4))) )],[refute_0_272,refute_0_304]) ).
cnf(refute_0_306,plain,
meet(meet(Y,join(meet(Y,X_18),Y)),join(meet(Y,X_18),Y)) = meet(Y,join(meet(Y,X_18),Y)),
inference(subst,[],[refute_0_305:[bind(X_4,$fot(join(meet(Y,X_18),Y))),bind(X_5,$fot(Y))]]) ).
cnf(refute_0_307,plain,
( meet(meet(Y,join(meet(Y,X_18),Y)),join(meet(Y,X_18),Y)) != join(meet(Y,X_18),Y)
| meet(meet(Y,join(meet(Y,X_18),Y)),join(meet(Y,X_18),Y)) != meet(Y,join(meet(Y,X_18),Y))
| meet(Y,join(meet(Y,X_18),Y)) = join(meet(Y,X_18),Y) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(Y,join(meet(Y,X_18),Y)),join(meet(Y,X_18),Y)),join(meet(Y,X_18),Y)) ),[0],$fot(meet(Y,join(meet(Y,X_18),Y)))]]) ).
cnf(refute_0_308,plain,
( meet(meet(Y,join(meet(Y,X_18),Y)),join(meet(Y,X_18),Y)) != join(meet(Y,X_18),Y)
| meet(Y,join(meet(Y,X_18),Y)) = join(meet(Y,X_18),Y) ),
inference(resolve,[$cnf( $equal(meet(meet(Y,join(meet(Y,X_18),Y)),join(meet(Y,X_18),Y)),meet(Y,join(meet(Y,X_18),Y))) )],[refute_0_306,refute_0_307]) ).
cnf(refute_0_309,plain,
meet(Y,join(meet(Y,X_18),Y)) = join(meet(Y,X_18),Y),
inference(resolve,[$cnf( $equal(meet(meet(Y,join(meet(Y,X_18),Y)),join(meet(Y,X_18),Y)),join(meet(Y,X_18),Y)) )],[refute_0_195,refute_0_308]) ).
cnf(refute_0_310,plain,
join(join(meet(meet(X_13,join(X_39,X_13)),X_13),meet(X_13,join(X_39,X_13))),meet(X_13,join(X_39,X_13))) = meet(X_13,join(X_39,X_13)),
inference(subst,[],[refute_0_191:[bind(X_12,$fot(meet(X_13,join(X_39,X_13))))]]) ).
cnf(refute_0_311,plain,
meet(meet(X_13,join(X_39,X_13)),X_13) = X_13,
inference(subst,[],[refute_0_95:[bind(X,$fot(X_13)),bind(Z,$fot(X_39))]]) ).
cnf(refute_0_312,plain,
( join(join(meet(meet(X_13,join(X_39,X_13)),X_13),meet(X_13,join(X_39,X_13))),meet(X_13,join(X_39,X_13))) != meet(X_13,join(X_39,X_13))
| meet(meet(X_13,join(X_39,X_13)),X_13) != X_13
| join(join(X_13,meet(X_13,join(X_39,X_13))),meet(X_13,join(X_39,X_13))) = meet(X_13,join(X_39,X_13)) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(meet(meet(X_13,join(X_39,X_13)),X_13),meet(X_13,join(X_39,X_13))),meet(X_13,join(X_39,X_13))),meet(X_13,join(X_39,X_13))) ),[0,0,0],$fot(X_13)]]) ).
cnf(refute_0_313,plain,
( join(join(meet(meet(X_13,join(X_39,X_13)),X_13),meet(X_13,join(X_39,X_13))),meet(X_13,join(X_39,X_13))) != meet(X_13,join(X_39,X_13))
| join(join(X_13,meet(X_13,join(X_39,X_13))),meet(X_13,join(X_39,X_13))) = meet(X_13,join(X_39,X_13)) ),
inference(resolve,[$cnf( $equal(meet(meet(X_13,join(X_39,X_13)),X_13),X_13) )],[refute_0_311,refute_0_312]) ).
cnf(refute_0_314,plain,
join(join(X_13,meet(X_13,join(X_39,X_13))),meet(X_13,join(X_39,X_13))) = meet(X_13,join(X_39,X_13)),
inference(resolve,[$cnf( $equal(join(join(meet(meet(X_13,join(X_39,X_13)),X_13),meet(X_13,join(X_39,X_13))),meet(X_13,join(X_39,X_13))),meet(X_13,join(X_39,X_13))) )],[refute_0_310,refute_0_313]) ).
cnf(refute_0_315,plain,
join(meet(meet(meet(X_1,join(X_39,X_1)),X_1),meet(meet(X_1,join(X_39,X_1)),join(meet(X_1,join(X_39,X_1)),X_1))),meet(meet(meet(X_1,join(X_39,X_1)),X_1),meet(X_1,join(X_39,X_1)))) = meet(meet(X_1,join(X_39,X_1)),X_1),
inference(subst,[],[refute_0_44:[bind(X_0,$fot(meet(X_1,join(X_39,X_1))))]]) ).
cnf(refute_0_316,plain,
meet(meet(X_1,join(X_39,X_1)),X_1) = X_1,
inference(subst,[],[refute_0_95:[bind(X,$fot(X_1)),bind(Z,$fot(X_39))]]) ).
cnf(refute_0_317,plain,
( join(meet(meet(meet(X_1,join(X_39,X_1)),X_1),meet(meet(X_1,join(X_39,X_1)),join(meet(X_1,join(X_39,X_1)),X_1))),meet(meet(meet(X_1,join(X_39,X_1)),X_1),meet(X_1,join(X_39,X_1)))) != meet(meet(X_1,join(X_39,X_1)),X_1)
| meet(meet(X_1,join(X_39,X_1)),X_1) != X_1
| join(meet(X_1,meet(meet(X_1,join(X_39,X_1)),join(meet(X_1,join(X_39,X_1)),X_1))),meet(meet(meet(X_1,join(X_39,X_1)),X_1),meet(X_1,join(X_39,X_1)))) = meet(meet(X_1,join(X_39,X_1)),X_1) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(meet(X_1,join(X_39,X_1)),X_1),meet(meet(X_1,join(X_39,X_1)),join(meet(X_1,join(X_39,X_1)),X_1))),meet(meet(meet(X_1,join(X_39,X_1)),X_1),meet(X_1,join(X_39,X_1)))),meet(meet(X_1,join(X_39,X_1)),X_1)) ),[0,0,0],$fot(X_1)]]) ).
cnf(refute_0_318,plain,
( join(meet(meet(meet(X_1,join(X_39,X_1)),X_1),meet(meet(X_1,join(X_39,X_1)),join(meet(X_1,join(X_39,X_1)),X_1))),meet(meet(meet(X_1,join(X_39,X_1)),X_1),meet(X_1,join(X_39,X_1)))) != meet(meet(X_1,join(X_39,X_1)),X_1)
| join(meet(X_1,meet(meet(X_1,join(X_39,X_1)),join(meet(X_1,join(X_39,X_1)),X_1))),meet(meet(meet(X_1,join(X_39,X_1)),X_1),meet(X_1,join(X_39,X_1)))) = meet(meet(X_1,join(X_39,X_1)),X_1) ),
inference(resolve,[$cnf( $equal(meet(meet(X_1,join(X_39,X_1)),X_1),X_1) )],[refute_0_316,refute_0_317]) ).
cnf(refute_0_319,plain,
join(meet(X_1,meet(meet(X_1,join(X_39,X_1)),join(meet(X_1,join(X_39,X_1)),X_1))),meet(meet(meet(X_1,join(X_39,X_1)),X_1),meet(X_1,join(X_39,X_1)))) = meet(meet(X_1,join(X_39,X_1)),X_1),
inference(resolve,[$cnf( $equal(join(meet(meet(meet(X_1,join(X_39,X_1)),X_1),meet(meet(X_1,join(X_39,X_1)),join(meet(X_1,join(X_39,X_1)),X_1))),meet(meet(meet(X_1,join(X_39,X_1)),X_1),meet(X_1,join(X_39,X_1)))),meet(meet(X_1,join(X_39,X_1)),X_1)) )],[refute_0_315,refute_0_318]) ).
cnf(refute_0_320,plain,
meet(meet(X,meet(X,Y)),meet(X,Y)) = meet(X,meet(X,Y)),
inference(subst,[],[refute_0_305:[bind(X_4,$fot(meet(X,Y))),bind(X_5,$fot(X))]]) ).
cnf(refute_0_321,plain,
( meet(meet(X,meet(X,Y)),meet(X,Y)) != meet(X,Y)
| meet(meet(X,meet(X,Y)),meet(X,Y)) != meet(X,meet(X,Y))
| meet(X,meet(X,Y)) = meet(X,Y) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(X,meet(X,Y)),meet(X,Y)),meet(X,Y)) ),[0],$fot(meet(X,meet(X,Y)))]]) ).
cnf(refute_0_322,plain,
( meet(meet(X,meet(X,Y)),meet(X,Y)) != meet(X,Y)
| meet(X,meet(X,Y)) = meet(X,Y) ),
inference(resolve,[$cnf( $equal(meet(meet(X,meet(X,Y)),meet(X,Y)),meet(X,meet(X,Y))) )],[refute_0_320,refute_0_321]) ).
cnf(refute_0_323,plain,
meet(X,meet(X,Y)) = meet(X,Y),
inference(resolve,[$cnf( $equal(meet(meet(X,meet(X,Y)),meet(X,Y)),meet(X,Y)) )],[refute_0_8,refute_0_322]) ).
cnf(refute_0_324,plain,
meet(X_1,meet(X_1,join(X_39,X_1))) = meet(X_1,join(X_39,X_1)),
inference(subst,[],[refute_0_323:[bind(X,$fot(X_1)),bind(Y,$fot(join(X_39,X_1)))]]) ).
cnf(refute_0_325,plain,
meet(meet(meet(X_1,join(X_39,X_1)),X_1),meet(X_1,join(X_39,X_1))) = meet(meet(meet(X_1,join(X_39,X_1)),X_1),meet(X_1,join(X_39,X_1))),
introduced(tautology,[refl,[$fot(meet(meet(meet(X_1,join(X_39,X_1)),X_1),meet(X_1,join(X_39,X_1))))]]) ).
cnf(refute_0_326,plain,
( meet(meet(X_1,join(X_39,X_1)),X_1) != X_1
| meet(meet(meet(X_1,join(X_39,X_1)),X_1),meet(X_1,join(X_39,X_1))) != meet(meet(meet(X_1,join(X_39,X_1)),X_1),meet(X_1,join(X_39,X_1)))
| meet(meet(meet(X_1,join(X_39,X_1)),X_1),meet(X_1,join(X_39,X_1))) = meet(X_1,meet(X_1,join(X_39,X_1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(meet(X_1,join(X_39,X_1)),X_1),meet(X_1,join(X_39,X_1))),meet(meet(meet(X_1,join(X_39,X_1)),X_1),meet(X_1,join(X_39,X_1)))) ),[1,0],$fot(X_1)]]) ).
cnf(refute_0_327,plain,
( meet(meet(X_1,join(X_39,X_1)),X_1) != X_1
| meet(meet(meet(X_1,join(X_39,X_1)),X_1),meet(X_1,join(X_39,X_1))) = meet(X_1,meet(X_1,join(X_39,X_1))) ),
inference(resolve,[$cnf( $equal(meet(meet(meet(X_1,join(X_39,X_1)),X_1),meet(X_1,join(X_39,X_1))),meet(meet(meet(X_1,join(X_39,X_1)),X_1),meet(X_1,join(X_39,X_1)))) )],[refute_0_325,refute_0_326]) ).
cnf(refute_0_328,plain,
meet(meet(meet(X_1,join(X_39,X_1)),X_1),meet(X_1,join(X_39,X_1))) = meet(X_1,meet(X_1,join(X_39,X_1))),
inference(resolve,[$cnf( $equal(meet(meet(X_1,join(X_39,X_1)),X_1),X_1) )],[refute_0_316,refute_0_327]) ).
cnf(refute_0_329,plain,
( meet(X_1,meet(X_1,join(X_39,X_1))) != meet(X_1,join(X_39,X_1))
| meet(meet(meet(X_1,join(X_39,X_1)),X_1),meet(X_1,join(X_39,X_1))) != meet(X_1,meet(X_1,join(X_39,X_1)))
| meet(meet(meet(X_1,join(X_39,X_1)),X_1),meet(X_1,join(X_39,X_1))) = meet(X_1,join(X_39,X_1)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(meet(meet(meet(X_1,join(X_39,X_1)),X_1),meet(X_1,join(X_39,X_1))))),bind(Y0,$fot(meet(X_1,meet(X_1,join(X_39,X_1))))),bind(Z0,$fot(meet(X_1,join(X_39,X_1))))]]) ).
cnf(refute_0_330,plain,
( meet(X_1,meet(X_1,join(X_39,X_1))) != meet(X_1,join(X_39,X_1))
| meet(meet(meet(X_1,join(X_39,X_1)),X_1),meet(X_1,join(X_39,X_1))) = meet(X_1,join(X_39,X_1)) ),
inference(resolve,[$cnf( $equal(meet(meet(meet(X_1,join(X_39,X_1)),X_1),meet(X_1,join(X_39,X_1))),meet(X_1,meet(X_1,join(X_39,X_1)))) )],[refute_0_328,refute_0_329]) ).
cnf(refute_0_331,plain,
meet(meet(meet(X_1,join(X_39,X_1)),X_1),meet(X_1,join(X_39,X_1))) = meet(X_1,join(X_39,X_1)),
inference(resolve,[$cnf( $equal(meet(X_1,meet(X_1,join(X_39,X_1))),meet(X_1,join(X_39,X_1))) )],[refute_0_324,refute_0_330]) ).
cnf(refute_0_332,plain,
join(meet(X_1,meet(meet(X_1,join(X_39,X_1)),join(meet(X_1,join(X_39,X_1)),X_1))),meet(meet(meet(X_1,join(X_39,X_1)),X_1),meet(X_1,join(X_39,X_1)))) = join(meet(X_1,meet(meet(X_1,join(X_39,X_1)),join(meet(X_1,join(X_39,X_1)),X_1))),meet(meet(meet(X_1,join(X_39,X_1)),X_1),meet(X_1,join(X_39,X_1)))),
introduced(tautology,[refl,[$fot(join(meet(X_1,meet(meet(X_1,join(X_39,X_1)),join(meet(X_1,join(X_39,X_1)),X_1))),meet(meet(meet(X_1,join(X_39,X_1)),X_1),meet(X_1,join(X_39,X_1)))))]]) ).
cnf(refute_0_333,plain,
( join(meet(X_1,meet(meet(X_1,join(X_39,X_1)),join(meet(X_1,join(X_39,X_1)),X_1))),meet(meet(meet(X_1,join(X_39,X_1)),X_1),meet(X_1,join(X_39,X_1)))) != join(meet(X_1,meet(meet(X_1,join(X_39,X_1)),join(meet(X_1,join(X_39,X_1)),X_1))),meet(meet(meet(X_1,join(X_39,X_1)),X_1),meet(X_1,join(X_39,X_1))))
| meet(meet(meet(X_1,join(X_39,X_1)),X_1),meet(X_1,join(X_39,X_1))) != meet(X_1,join(X_39,X_1))
| join(meet(X_1,meet(meet(X_1,join(X_39,X_1)),join(meet(X_1,join(X_39,X_1)),X_1))),meet(meet(meet(X_1,join(X_39,X_1)),X_1),meet(X_1,join(X_39,X_1)))) = join(meet(X_1,meet(meet(X_1,join(X_39,X_1)),join(meet(X_1,join(X_39,X_1)),X_1))),meet(X_1,join(X_39,X_1))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_1,meet(meet(X_1,join(X_39,X_1)),join(meet(X_1,join(X_39,X_1)),X_1))),meet(meet(meet(X_1,join(X_39,X_1)),X_1),meet(X_1,join(X_39,X_1)))),join(meet(X_1,meet(meet(X_1,join(X_39,X_1)),join(meet(X_1,join(X_39,X_1)),X_1))),meet(meet(meet(X_1,join(X_39,X_1)),X_1),meet(X_1,join(X_39,X_1))))) ),[1,1],$fot(meet(X_1,join(X_39,X_1)))]]) ).
cnf(refute_0_334,plain,
( meet(meet(meet(X_1,join(X_39,X_1)),X_1),meet(X_1,join(X_39,X_1))) != meet(X_1,join(X_39,X_1))
| join(meet(X_1,meet(meet(X_1,join(X_39,X_1)),join(meet(X_1,join(X_39,X_1)),X_1))),meet(meet(meet(X_1,join(X_39,X_1)),X_1),meet(X_1,join(X_39,X_1)))) = join(meet(X_1,meet(meet(X_1,join(X_39,X_1)),join(meet(X_1,join(X_39,X_1)),X_1))),meet(X_1,join(X_39,X_1))) ),
inference(resolve,[$cnf( $equal(join(meet(X_1,meet(meet(X_1,join(X_39,X_1)),join(meet(X_1,join(X_39,X_1)),X_1))),meet(meet(meet(X_1,join(X_39,X_1)),X_1),meet(X_1,join(X_39,X_1)))),join(meet(X_1,meet(meet(X_1,join(X_39,X_1)),join(meet(X_1,join(X_39,X_1)),X_1))),meet(meet(meet(X_1,join(X_39,X_1)),X_1),meet(X_1,join(X_39,X_1))))) )],[refute_0_332,refute_0_333]) ).
cnf(refute_0_335,plain,
join(meet(X_1,meet(meet(X_1,join(X_39,X_1)),join(meet(X_1,join(X_39,X_1)),X_1))),meet(meet(meet(X_1,join(X_39,X_1)),X_1),meet(X_1,join(X_39,X_1)))) = join(meet(X_1,meet(meet(X_1,join(X_39,X_1)),join(meet(X_1,join(X_39,X_1)),X_1))),meet(X_1,join(X_39,X_1))),
inference(resolve,[$cnf( $equal(meet(meet(meet(X_1,join(X_39,X_1)),X_1),meet(X_1,join(X_39,X_1))),meet(X_1,join(X_39,X_1))) )],[refute_0_331,refute_0_334]) ).
cnf(refute_0_336,plain,
( join(meet(X_1,meet(meet(X_1,join(X_39,X_1)),join(meet(X_1,join(X_39,X_1)),X_1))),meet(meet(meet(X_1,join(X_39,X_1)),X_1),meet(X_1,join(X_39,X_1)))) != join(meet(X_1,meet(meet(X_1,join(X_39,X_1)),join(meet(X_1,join(X_39,X_1)),X_1))),meet(X_1,join(X_39,X_1)))
| join(meet(X_1,meet(meet(X_1,join(X_39,X_1)),join(meet(X_1,join(X_39,X_1)),X_1))),meet(meet(meet(X_1,join(X_39,X_1)),X_1),meet(X_1,join(X_39,X_1)))) != meet(meet(X_1,join(X_39,X_1)),X_1)
| join(meet(X_1,meet(meet(X_1,join(X_39,X_1)),join(meet(X_1,join(X_39,X_1)),X_1))),meet(X_1,join(X_39,X_1))) = meet(meet(X_1,join(X_39,X_1)),X_1) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_1,meet(meet(X_1,join(X_39,X_1)),join(meet(X_1,join(X_39,X_1)),X_1))),meet(meet(meet(X_1,join(X_39,X_1)),X_1),meet(X_1,join(X_39,X_1)))),meet(meet(X_1,join(X_39,X_1)),X_1)) ),[0],$fot(join(meet(X_1,meet(meet(X_1,join(X_39,X_1)),join(meet(X_1,join(X_39,X_1)),X_1))),meet(X_1,join(X_39,X_1))))]]) ).
cnf(refute_0_337,plain,
( join(meet(X_1,meet(meet(X_1,join(X_39,X_1)),join(meet(X_1,join(X_39,X_1)),X_1))),meet(meet(meet(X_1,join(X_39,X_1)),X_1),meet(X_1,join(X_39,X_1)))) != meet(meet(X_1,join(X_39,X_1)),X_1)
| join(meet(X_1,meet(meet(X_1,join(X_39,X_1)),join(meet(X_1,join(X_39,X_1)),X_1))),meet(X_1,join(X_39,X_1))) = meet(meet(X_1,join(X_39,X_1)),X_1) ),
inference(resolve,[$cnf( $equal(join(meet(X_1,meet(meet(X_1,join(X_39,X_1)),join(meet(X_1,join(X_39,X_1)),X_1))),meet(meet(meet(X_1,join(X_39,X_1)),X_1),meet(X_1,join(X_39,X_1)))),join(meet(X_1,meet(meet(X_1,join(X_39,X_1)),join(meet(X_1,join(X_39,X_1)),X_1))),meet(X_1,join(X_39,X_1)))) )],[refute_0_335,refute_0_336]) ).
cnf(refute_0_338,plain,
( join(meet(X_1,meet(meet(X_1,join(X_39,X_1)),join(meet(X_1,join(X_39,X_1)),X_1))),meet(X_1,join(X_39,X_1))) != meet(meet(X_1,join(X_39,X_1)),X_1)
| meet(meet(X_1,join(X_39,X_1)),X_1) != X_1
| join(meet(X_1,meet(meet(X_1,join(X_39,X_1)),join(meet(X_1,join(X_39,X_1)),X_1))),meet(X_1,join(X_39,X_1))) = X_1 ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(meet(X_1,meet(meet(X_1,join(X_39,X_1)),join(meet(X_1,join(X_39,X_1)),X_1))),meet(X_1,join(X_39,X_1))),X_1) ),[0],$fot(meet(meet(X_1,join(X_39,X_1)),X_1))]]) ).
cnf(refute_0_339,plain,
( join(meet(X_1,meet(meet(X_1,join(X_39,X_1)),join(meet(X_1,join(X_39,X_1)),X_1))),meet(X_1,join(X_39,X_1))) != meet(meet(X_1,join(X_39,X_1)),X_1)
| join(meet(X_1,meet(meet(X_1,join(X_39,X_1)),join(meet(X_1,join(X_39,X_1)),X_1))),meet(X_1,join(X_39,X_1))) = X_1 ),
inference(resolve,[$cnf( $equal(meet(meet(X_1,join(X_39,X_1)),X_1),X_1) )],[refute_0_316,refute_0_338]) ).
cnf(refute_0_340,plain,
( join(meet(X_1,meet(meet(X_1,join(X_39,X_1)),join(meet(X_1,join(X_39,X_1)),X_1))),meet(meet(meet(X_1,join(X_39,X_1)),X_1),meet(X_1,join(X_39,X_1)))) != meet(meet(X_1,join(X_39,X_1)),X_1)
| join(meet(X_1,meet(meet(X_1,join(X_39,X_1)),join(meet(X_1,join(X_39,X_1)),X_1))),meet(X_1,join(X_39,X_1))) = X_1 ),
inference(resolve,[$cnf( $equal(join(meet(X_1,meet(meet(X_1,join(X_39,X_1)),join(meet(X_1,join(X_39,X_1)),X_1))),meet(X_1,join(X_39,X_1))),meet(meet(X_1,join(X_39,X_1)),X_1)) )],[refute_0_337,refute_0_339]) ).
cnf(refute_0_341,plain,
join(meet(X_1,meet(meet(X_1,join(X_39,X_1)),join(meet(X_1,join(X_39,X_1)),X_1))),meet(X_1,join(X_39,X_1))) = X_1,
inference(resolve,[$cnf( $equal(join(meet(X_1,meet(meet(X_1,join(X_39,X_1)),join(meet(X_1,join(X_39,X_1)),X_1))),meet(meet(meet(X_1,join(X_39,X_1)),X_1),meet(X_1,join(X_39,X_1)))),meet(meet(X_1,join(X_39,X_1)),X_1)) )],[refute_0_319,refute_0_340]) ).
cnf(refute_0_342,plain,
meet(X_1,X_1) = X_1,
inference(subst,[],[refute_0_35:[bind(X_34,$fot(X_1))]]) ).
cnf(refute_0_343,plain,
join(meet(meet(X_6,X_7),meet(X_7,join(X_6,X_7))),meet(meet(X_6,X_7),join(meet(X_6,X_7),meet(X_7,join(X_6,X_7))))) = meet(X_6,X_7),
inference(subst,[],[wal_absorbtion_1:[bind(X,$fot(meet(X_6,X_7))),bind(Y,$fot(meet(X_7,join(X_6,X_7))))]]) ).
cnf(refute_0_344,plain,
( join(meet(X_6,X_7),meet(X_7,join(X_6,X_7))) != X_7
| join(meet(meet(X_6,X_7),meet(X_7,join(X_6,X_7))),meet(meet(X_6,X_7),join(meet(X_6,X_7),meet(X_7,join(X_6,X_7))))) != meet(X_6,X_7)
| join(meet(meet(X_6,X_7),meet(X_7,join(X_6,X_7))),meet(meet(X_6,X_7),X_7)) = meet(X_6,X_7) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(X_6,X_7),meet(X_7,join(X_6,X_7))),meet(meet(X_6,X_7),join(meet(X_6,X_7),meet(X_7,join(X_6,X_7))))),meet(X_6,X_7)) ),[0,1,1],$fot(X_7)]]) ).
cnf(refute_0_345,plain,
( join(meet(meet(X_6,X_7),meet(X_7,join(X_6,X_7))),meet(meet(X_6,X_7),join(meet(X_6,X_7),meet(X_7,join(X_6,X_7))))) != meet(X_6,X_7)
| join(meet(meet(X_6,X_7),meet(X_7,join(X_6,X_7))),meet(meet(X_6,X_7),X_7)) = meet(X_6,X_7) ),
inference(resolve,[$cnf( $equal(join(meet(X_6,X_7),meet(X_7,join(X_6,X_7))),X_7) )],[refute_0_88,refute_0_344]) ).
cnf(refute_0_346,plain,
join(meet(meet(X_6,X_7),meet(X_7,join(X_6,X_7))),meet(meet(X_6,X_7),X_7)) = meet(X_6,X_7),
inference(resolve,[$cnf( $equal(join(meet(meet(X_6,X_7),meet(X_7,join(X_6,X_7))),meet(meet(X_6,X_7),join(meet(X_6,X_7),meet(X_7,join(X_6,X_7))))),meet(X_6,X_7)) )],[refute_0_343,refute_0_345]) ).
cnf(refute_0_347,plain,
meet(meet(X_6,X_7),X_7) = meet(X_6,X_7),
inference(subst,[],[refute_0_305:[bind(X_4,$fot(X_7)),bind(X_5,$fot(X_6))]]) ).
cnf(refute_0_348,plain,
join(meet(meet(X_6,X_7),meet(X_7,join(X_6,X_7))),meet(meet(X_6,X_7),X_7)) = join(meet(meet(X_6,X_7),meet(X_7,join(X_6,X_7))),meet(meet(X_6,X_7),X_7)),
introduced(tautology,[refl,[$fot(join(meet(meet(X_6,X_7),meet(X_7,join(X_6,X_7))),meet(meet(X_6,X_7),X_7)))]]) ).
cnf(refute_0_349,plain,
( join(meet(meet(X_6,X_7),meet(X_7,join(X_6,X_7))),meet(meet(X_6,X_7),X_7)) != join(meet(meet(X_6,X_7),meet(X_7,join(X_6,X_7))),meet(meet(X_6,X_7),X_7))
| meet(meet(X_6,X_7),X_7) != meet(X_6,X_7)
| join(meet(meet(X_6,X_7),meet(X_7,join(X_6,X_7))),meet(meet(X_6,X_7),X_7)) = join(meet(meet(X_6,X_7),meet(X_7,join(X_6,X_7))),meet(X_6,X_7)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(X_6,X_7),meet(X_7,join(X_6,X_7))),meet(meet(X_6,X_7),X_7)),join(meet(meet(X_6,X_7),meet(X_7,join(X_6,X_7))),meet(meet(X_6,X_7),X_7))) ),[1,1],$fot(meet(X_6,X_7))]]) ).
cnf(refute_0_350,plain,
( meet(meet(X_6,X_7),X_7) != meet(X_6,X_7)
| join(meet(meet(X_6,X_7),meet(X_7,join(X_6,X_7))),meet(meet(X_6,X_7),X_7)) = join(meet(meet(X_6,X_7),meet(X_7,join(X_6,X_7))),meet(X_6,X_7)) ),
inference(resolve,[$cnf( $equal(join(meet(meet(X_6,X_7),meet(X_7,join(X_6,X_7))),meet(meet(X_6,X_7),X_7)),join(meet(meet(X_6,X_7),meet(X_7,join(X_6,X_7))),meet(meet(X_6,X_7),X_7))) )],[refute_0_348,refute_0_349]) ).
cnf(refute_0_351,plain,
join(meet(meet(X_6,X_7),meet(X_7,join(X_6,X_7))),meet(meet(X_6,X_7),X_7)) = join(meet(meet(X_6,X_7),meet(X_7,join(X_6,X_7))),meet(X_6,X_7)),
inference(resolve,[$cnf( $equal(meet(meet(X_6,X_7),X_7),meet(X_6,X_7)) )],[refute_0_347,refute_0_350]) ).
cnf(refute_0_352,plain,
( join(meet(meet(X_6,X_7),meet(X_7,join(X_6,X_7))),meet(meet(X_6,X_7),X_7)) != join(meet(meet(X_6,X_7),meet(X_7,join(X_6,X_7))),meet(X_6,X_7))
| join(meet(meet(X_6,X_7),meet(X_7,join(X_6,X_7))),meet(meet(X_6,X_7),X_7)) != meet(X_6,X_7)
| join(meet(meet(X_6,X_7),meet(X_7,join(X_6,X_7))),meet(X_6,X_7)) = meet(X_6,X_7) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(X_6,X_7),meet(X_7,join(X_6,X_7))),meet(meet(X_6,X_7),X_7)),meet(X_6,X_7)) ),[0],$fot(join(meet(meet(X_6,X_7),meet(X_7,join(X_6,X_7))),meet(X_6,X_7)))]]) ).
cnf(refute_0_353,plain,
( join(meet(meet(X_6,X_7),meet(X_7,join(X_6,X_7))),meet(meet(X_6,X_7),X_7)) != meet(X_6,X_7)
| join(meet(meet(X_6,X_7),meet(X_7,join(X_6,X_7))),meet(X_6,X_7)) = meet(X_6,X_7) ),
inference(resolve,[$cnf( $equal(join(meet(meet(X_6,X_7),meet(X_7,join(X_6,X_7))),meet(meet(X_6,X_7),X_7)),join(meet(meet(X_6,X_7),meet(X_7,join(X_6,X_7))),meet(X_6,X_7))) )],[refute_0_351,refute_0_352]) ).
cnf(refute_0_354,plain,
join(meet(meet(X_6,X_7),meet(X_7,join(X_6,X_7))),meet(X_6,X_7)) = meet(X_6,X_7),
inference(resolve,[$cnf( $equal(join(meet(meet(X_6,X_7),meet(X_7,join(X_6,X_7))),meet(meet(X_6,X_7),X_7)),meet(X_6,X_7)) )],[refute_0_346,refute_0_353]) ).
cnf(refute_0_355,plain,
join(meet(meet(meet(X_48,join(Z,X_48)),X_48),meet(X_48,join(meet(X_48,join(Z,X_48)),X_48))),meet(meet(X_48,join(Z,X_48)),X_48)) = meet(meet(X_48,join(Z,X_48)),X_48),
inference(subst,[],[refute_0_354:[bind(X_6,$fot(meet(X_48,join(Z,X_48)))),bind(X_7,$fot(X_48))]]) ).
cnf(refute_0_356,plain,
meet(meet(X_48,join(Z,X_48)),X_48) = X_48,
inference(subst,[],[refute_0_95:[bind(X,$fot(X_48))]]) ).
cnf(refute_0_357,plain,
( join(meet(meet(meet(X_48,join(Z,X_48)),X_48),meet(X_48,join(meet(X_48,join(Z,X_48)),X_48))),meet(meet(X_48,join(Z,X_48)),X_48)) != meet(meet(X_48,join(Z,X_48)),X_48)
| meet(meet(X_48,join(Z,X_48)),X_48) != X_48
| join(meet(meet(meet(X_48,join(Z,X_48)),X_48),meet(X_48,join(meet(X_48,join(Z,X_48)),X_48))),X_48) = meet(meet(X_48,join(Z,X_48)),X_48) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(meet(X_48,join(Z,X_48)),X_48),meet(X_48,join(meet(X_48,join(Z,X_48)),X_48))),meet(meet(X_48,join(Z,X_48)),X_48)),meet(meet(X_48,join(Z,X_48)),X_48)) ),[0,1],$fot(X_48)]]) ).
cnf(refute_0_358,plain,
( join(meet(meet(meet(X_48,join(Z,X_48)),X_48),meet(X_48,join(meet(X_48,join(Z,X_48)),X_48))),meet(meet(X_48,join(Z,X_48)),X_48)) != meet(meet(X_48,join(Z,X_48)),X_48)
| join(meet(meet(meet(X_48,join(Z,X_48)),X_48),meet(X_48,join(meet(X_48,join(Z,X_48)),X_48))),X_48) = meet(meet(X_48,join(Z,X_48)),X_48) ),
inference(resolve,[$cnf( $equal(meet(meet(X_48,join(Z,X_48)),X_48),X_48) )],[refute_0_356,refute_0_357]) ).
cnf(refute_0_359,plain,
join(meet(meet(meet(X_48,join(Z,X_48)),X_48),meet(X_48,join(meet(X_48,join(Z,X_48)),X_48))),X_48) = meet(meet(X_48,join(Z,X_48)),X_48),
inference(resolve,[$cnf( $equal(join(meet(meet(meet(X_48,join(Z,X_48)),X_48),meet(X_48,join(meet(X_48,join(Z,X_48)),X_48))),meet(meet(X_48,join(Z,X_48)),X_48)),meet(meet(X_48,join(Z,X_48)),X_48)) )],[refute_0_355,refute_0_358]) ).
cnf(refute_0_360,plain,
meet(X_48,join(meet(X_48,join(Z,X_48)),X_48)) = join(meet(X_48,join(Z,X_48)),X_48),
inference(subst,[],[refute_0_309:[bind(Y,$fot(X_48)),bind(X_18,$fot(join(Z,X_48)))]]) ).
cnf(refute_0_361,plain,
join(meet(meet(meet(X_48,join(Z,X_48)),X_48),meet(X_48,join(meet(X_48,join(Z,X_48)),X_48))),X_48) = meet(X_48,join(meet(X_48,join(Z,X_48)),X_48)),
inference(subst,[],[refute_0_103:[bind(X_6,$fot(meet(X_48,join(Z,X_48)))),bind(X_7,$fot(X_48))]]) ).
cnf(refute_0_362,plain,
( join(meet(meet(meet(X_48,join(Z,X_48)),X_48),meet(X_48,join(meet(X_48,join(Z,X_48)),X_48))),X_48) != meet(X_48,join(meet(X_48,join(Z,X_48)),X_48))
| meet(X_48,join(meet(X_48,join(Z,X_48)),X_48)) != join(meet(X_48,join(Z,X_48)),X_48)
| join(meet(meet(meet(X_48,join(Z,X_48)),X_48),meet(X_48,join(meet(X_48,join(Z,X_48)),X_48))),X_48) = join(meet(X_48,join(Z,X_48)),X_48) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(join(meet(meet(meet(X_48,join(Z,X_48)),X_48),meet(X_48,join(meet(X_48,join(Z,X_48)),X_48))),X_48))),bind(Y0,$fot(meet(X_48,join(meet(X_48,join(Z,X_48)),X_48)))),bind(Z0,$fot(join(meet(X_48,join(Z,X_48)),X_48)))]]) ).
cnf(refute_0_363,plain,
( meet(X_48,join(meet(X_48,join(Z,X_48)),X_48)) != join(meet(X_48,join(Z,X_48)),X_48)
| join(meet(meet(meet(X_48,join(Z,X_48)),X_48),meet(X_48,join(meet(X_48,join(Z,X_48)),X_48))),X_48) = join(meet(X_48,join(Z,X_48)),X_48) ),
inference(resolve,[$cnf( $equal(join(meet(meet(meet(X_48,join(Z,X_48)),X_48),meet(X_48,join(meet(X_48,join(Z,X_48)),X_48))),X_48),meet(X_48,join(meet(X_48,join(Z,X_48)),X_48))) )],[refute_0_361,refute_0_362]) ).
cnf(refute_0_364,plain,
join(meet(meet(meet(X_48,join(Z,X_48)),X_48),meet(X_48,join(meet(X_48,join(Z,X_48)),X_48))),X_48) = join(meet(X_48,join(Z,X_48)),X_48),
inference(resolve,[$cnf( $equal(meet(X_48,join(meet(X_48,join(Z,X_48)),X_48)),join(meet(X_48,join(Z,X_48)),X_48)) )],[refute_0_360,refute_0_363]) ).
cnf(refute_0_365,plain,
( join(meet(meet(meet(X_48,join(Z,X_48)),X_48),meet(X_48,join(meet(X_48,join(Z,X_48)),X_48))),X_48) != join(meet(X_48,join(Z,X_48)),X_48)
| join(meet(meet(meet(X_48,join(Z,X_48)),X_48),meet(X_48,join(meet(X_48,join(Z,X_48)),X_48))),X_48) != meet(meet(X_48,join(Z,X_48)),X_48)
| join(meet(X_48,join(Z,X_48)),X_48) = meet(meet(X_48,join(Z,X_48)),X_48) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(meet(X_48,join(Z,X_48)),X_48),meet(X_48,join(meet(X_48,join(Z,X_48)),X_48))),X_48),meet(meet(X_48,join(Z,X_48)),X_48)) ),[0],$fot(join(meet(X_48,join(Z,X_48)),X_48))]]) ).
cnf(refute_0_366,plain,
( join(meet(meet(meet(X_48,join(Z,X_48)),X_48),meet(X_48,join(meet(X_48,join(Z,X_48)),X_48))),X_48) != meet(meet(X_48,join(Z,X_48)),X_48)
| join(meet(X_48,join(Z,X_48)),X_48) = meet(meet(X_48,join(Z,X_48)),X_48) ),
inference(resolve,[$cnf( $equal(join(meet(meet(meet(X_48,join(Z,X_48)),X_48),meet(X_48,join(meet(X_48,join(Z,X_48)),X_48))),X_48),join(meet(X_48,join(Z,X_48)),X_48)) )],[refute_0_364,refute_0_365]) ).
cnf(refute_0_367,plain,
( join(meet(X_48,join(Z,X_48)),X_48) != meet(meet(X_48,join(Z,X_48)),X_48)
| meet(meet(X_48,join(Z,X_48)),X_48) != X_48
| join(meet(X_48,join(Z,X_48)),X_48) = X_48 ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(meet(X_48,join(Z,X_48)),X_48),X_48) ),[0],$fot(meet(meet(X_48,join(Z,X_48)),X_48))]]) ).
cnf(refute_0_368,plain,
( join(meet(X_48,join(Z,X_48)),X_48) != meet(meet(X_48,join(Z,X_48)),X_48)
| join(meet(X_48,join(Z,X_48)),X_48) = X_48 ),
inference(resolve,[$cnf( $equal(meet(meet(X_48,join(Z,X_48)),X_48),X_48) )],[refute_0_356,refute_0_367]) ).
cnf(refute_0_369,plain,
( join(meet(meet(meet(X_48,join(Z,X_48)),X_48),meet(X_48,join(meet(X_48,join(Z,X_48)),X_48))),X_48) != meet(meet(X_48,join(Z,X_48)),X_48)
| join(meet(X_48,join(Z,X_48)),X_48) = X_48 ),
inference(resolve,[$cnf( $equal(join(meet(X_48,join(Z,X_48)),X_48),meet(meet(X_48,join(Z,X_48)),X_48)) )],[refute_0_366,refute_0_368]) ).
cnf(refute_0_370,plain,
join(meet(X_48,join(Z,X_48)),X_48) = X_48,
inference(resolve,[$cnf( $equal(join(meet(meet(meet(X_48,join(Z,X_48)),X_48),meet(X_48,join(meet(X_48,join(Z,X_48)),X_48))),X_48),meet(meet(X_48,join(Z,X_48)),X_48)) )],[refute_0_359,refute_0_369]) ).
cnf(refute_0_371,plain,
join(meet(X_1,join(X_39,X_1)),X_1) = X_1,
inference(subst,[],[refute_0_370:[bind(Z,$fot(X_39)),bind(X_48,$fot(X_1))]]) ).
cnf(refute_0_372,plain,
meet(meet(X_1,join(X_39,X_1)),join(meet(X_1,join(X_39,X_1)),X_1)) = meet(meet(X_1,join(X_39,X_1)),join(meet(X_1,join(X_39,X_1)),X_1)),
introduced(tautology,[refl,[$fot(meet(meet(X_1,join(X_39,X_1)),join(meet(X_1,join(X_39,X_1)),X_1)))]]) ).
cnf(refute_0_373,plain,
( join(meet(X_1,join(X_39,X_1)),X_1) != X_1
| meet(meet(X_1,join(X_39,X_1)),join(meet(X_1,join(X_39,X_1)),X_1)) != meet(meet(X_1,join(X_39,X_1)),join(meet(X_1,join(X_39,X_1)),X_1))
| meet(meet(X_1,join(X_39,X_1)),join(meet(X_1,join(X_39,X_1)),X_1)) = meet(meet(X_1,join(X_39,X_1)),X_1) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_1,join(X_39,X_1)),join(meet(X_1,join(X_39,X_1)),X_1)),meet(meet(X_1,join(X_39,X_1)),join(meet(X_1,join(X_39,X_1)),X_1))) ),[1,1],$fot(X_1)]]) ).
cnf(refute_0_374,plain,
( join(meet(X_1,join(X_39,X_1)),X_1) != X_1
| meet(meet(X_1,join(X_39,X_1)),join(meet(X_1,join(X_39,X_1)),X_1)) = meet(meet(X_1,join(X_39,X_1)),X_1) ),
inference(resolve,[$cnf( $equal(meet(meet(X_1,join(X_39,X_1)),join(meet(X_1,join(X_39,X_1)),X_1)),meet(meet(X_1,join(X_39,X_1)),join(meet(X_1,join(X_39,X_1)),X_1))) )],[refute_0_372,refute_0_373]) ).
cnf(refute_0_375,plain,
meet(meet(X_1,join(X_39,X_1)),join(meet(X_1,join(X_39,X_1)),X_1)) = meet(meet(X_1,join(X_39,X_1)),X_1),
inference(resolve,[$cnf( $equal(join(meet(X_1,join(X_39,X_1)),X_1),X_1) )],[refute_0_371,refute_0_374]) ).
cnf(refute_0_376,plain,
( meet(meet(X_1,join(X_39,X_1)),X_1) != X_1
| meet(meet(X_1,join(X_39,X_1)),join(meet(X_1,join(X_39,X_1)),X_1)) != meet(meet(X_1,join(X_39,X_1)),X_1)
| meet(meet(X_1,join(X_39,X_1)),join(meet(X_1,join(X_39,X_1)),X_1)) = X_1 ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(meet(meet(X_1,join(X_39,X_1)),join(meet(X_1,join(X_39,X_1)),X_1)))),bind(Y0,$fot(meet(meet(X_1,join(X_39,X_1)),X_1))),bind(Z0,$fot(X_1))]]) ).
cnf(refute_0_377,plain,
( meet(meet(X_1,join(X_39,X_1)),X_1) != X_1
| meet(meet(X_1,join(X_39,X_1)),join(meet(X_1,join(X_39,X_1)),X_1)) = X_1 ),
inference(resolve,[$cnf( $equal(meet(meet(X_1,join(X_39,X_1)),join(meet(X_1,join(X_39,X_1)),X_1)),meet(meet(X_1,join(X_39,X_1)),X_1)) )],[refute_0_375,refute_0_376]) ).
cnf(refute_0_378,plain,
meet(meet(X_1,join(X_39,X_1)),join(meet(X_1,join(X_39,X_1)),X_1)) = X_1,
inference(resolve,[$cnf( $equal(meet(meet(X_1,join(X_39,X_1)),X_1),X_1) )],[refute_0_316,refute_0_377]) ).
cnf(refute_0_379,plain,
meet(X_1,meet(meet(X_1,join(X_39,X_1)),join(meet(X_1,join(X_39,X_1)),X_1))) = meet(X_1,meet(meet(X_1,join(X_39,X_1)),join(meet(X_1,join(X_39,X_1)),X_1))),
introduced(tautology,[refl,[$fot(meet(X_1,meet(meet(X_1,join(X_39,X_1)),join(meet(X_1,join(X_39,X_1)),X_1))))]]) ).
cnf(refute_0_380,plain,
( meet(X_1,meet(meet(X_1,join(X_39,X_1)),join(meet(X_1,join(X_39,X_1)),X_1))) != meet(X_1,meet(meet(X_1,join(X_39,X_1)),join(meet(X_1,join(X_39,X_1)),X_1)))
| meet(meet(X_1,join(X_39,X_1)),join(meet(X_1,join(X_39,X_1)),X_1)) != X_1
| meet(X_1,meet(meet(X_1,join(X_39,X_1)),join(meet(X_1,join(X_39,X_1)),X_1))) = meet(X_1,X_1) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_1,meet(meet(X_1,join(X_39,X_1)),join(meet(X_1,join(X_39,X_1)),X_1))),meet(X_1,meet(meet(X_1,join(X_39,X_1)),join(meet(X_1,join(X_39,X_1)),X_1)))) ),[1,1],$fot(X_1)]]) ).
cnf(refute_0_381,plain,
( meet(meet(X_1,join(X_39,X_1)),join(meet(X_1,join(X_39,X_1)),X_1)) != X_1
| meet(X_1,meet(meet(X_1,join(X_39,X_1)),join(meet(X_1,join(X_39,X_1)),X_1))) = meet(X_1,X_1) ),
inference(resolve,[$cnf( $equal(meet(X_1,meet(meet(X_1,join(X_39,X_1)),join(meet(X_1,join(X_39,X_1)),X_1))),meet(X_1,meet(meet(X_1,join(X_39,X_1)),join(meet(X_1,join(X_39,X_1)),X_1)))) )],[refute_0_379,refute_0_380]) ).
cnf(refute_0_382,plain,
meet(X_1,meet(meet(X_1,join(X_39,X_1)),join(meet(X_1,join(X_39,X_1)),X_1))) = meet(X_1,X_1),
inference(resolve,[$cnf( $equal(meet(meet(X_1,join(X_39,X_1)),join(meet(X_1,join(X_39,X_1)),X_1)),X_1) )],[refute_0_378,refute_0_381]) ).
cnf(refute_0_383,plain,
( meet(X_1,X_1) != X_1
| meet(X_1,meet(meet(X_1,join(X_39,X_1)),join(meet(X_1,join(X_39,X_1)),X_1))) != meet(X_1,X_1)
| meet(X_1,meet(meet(X_1,join(X_39,X_1)),join(meet(X_1,join(X_39,X_1)),X_1))) = X_1 ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(meet(X_1,meet(meet(X_1,join(X_39,X_1)),join(meet(X_1,join(X_39,X_1)),X_1))))),bind(Y0,$fot(meet(X_1,X_1))),bind(Z0,$fot(X_1))]]) ).
cnf(refute_0_384,plain,
( meet(X_1,X_1) != X_1
| meet(X_1,meet(meet(X_1,join(X_39,X_1)),join(meet(X_1,join(X_39,X_1)),X_1))) = X_1 ),
inference(resolve,[$cnf( $equal(meet(X_1,meet(meet(X_1,join(X_39,X_1)),join(meet(X_1,join(X_39,X_1)),X_1))),meet(X_1,X_1)) )],[refute_0_382,refute_0_383]) ).
cnf(refute_0_385,plain,
meet(X_1,meet(meet(X_1,join(X_39,X_1)),join(meet(X_1,join(X_39,X_1)),X_1))) = X_1,
inference(resolve,[$cnf( $equal(meet(X_1,X_1),X_1) )],[refute_0_342,refute_0_384]) ).
cnf(refute_0_386,plain,
join(meet(X_1,meet(meet(X_1,join(X_39,X_1)),join(meet(X_1,join(X_39,X_1)),X_1))),meet(X_1,join(X_39,X_1))) = join(meet(X_1,meet(meet(X_1,join(X_39,X_1)),join(meet(X_1,join(X_39,X_1)),X_1))),meet(X_1,join(X_39,X_1))),
introduced(tautology,[refl,[$fot(join(meet(X_1,meet(meet(X_1,join(X_39,X_1)),join(meet(X_1,join(X_39,X_1)),X_1))),meet(X_1,join(X_39,X_1))))]]) ).
cnf(refute_0_387,plain,
( join(meet(X_1,meet(meet(X_1,join(X_39,X_1)),join(meet(X_1,join(X_39,X_1)),X_1))),meet(X_1,join(X_39,X_1))) != join(meet(X_1,meet(meet(X_1,join(X_39,X_1)),join(meet(X_1,join(X_39,X_1)),X_1))),meet(X_1,join(X_39,X_1)))
| meet(X_1,meet(meet(X_1,join(X_39,X_1)),join(meet(X_1,join(X_39,X_1)),X_1))) != X_1
| join(meet(X_1,meet(meet(X_1,join(X_39,X_1)),join(meet(X_1,join(X_39,X_1)),X_1))),meet(X_1,join(X_39,X_1))) = join(X_1,meet(X_1,join(X_39,X_1))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_1,meet(meet(X_1,join(X_39,X_1)),join(meet(X_1,join(X_39,X_1)),X_1))),meet(X_1,join(X_39,X_1))),join(meet(X_1,meet(meet(X_1,join(X_39,X_1)),join(meet(X_1,join(X_39,X_1)),X_1))),meet(X_1,join(X_39,X_1)))) ),[1,0],$fot(X_1)]]) ).
cnf(refute_0_388,plain,
( meet(X_1,meet(meet(X_1,join(X_39,X_1)),join(meet(X_1,join(X_39,X_1)),X_1))) != X_1
| join(meet(X_1,meet(meet(X_1,join(X_39,X_1)),join(meet(X_1,join(X_39,X_1)),X_1))),meet(X_1,join(X_39,X_1))) = join(X_1,meet(X_1,join(X_39,X_1))) ),
inference(resolve,[$cnf( $equal(join(meet(X_1,meet(meet(X_1,join(X_39,X_1)),join(meet(X_1,join(X_39,X_1)),X_1))),meet(X_1,join(X_39,X_1))),join(meet(X_1,meet(meet(X_1,join(X_39,X_1)),join(meet(X_1,join(X_39,X_1)),X_1))),meet(X_1,join(X_39,X_1)))) )],[refute_0_386,refute_0_387]) ).
cnf(refute_0_389,plain,
join(meet(X_1,meet(meet(X_1,join(X_39,X_1)),join(meet(X_1,join(X_39,X_1)),X_1))),meet(X_1,join(X_39,X_1))) = join(X_1,meet(X_1,join(X_39,X_1))),
inference(resolve,[$cnf( $equal(meet(X_1,meet(meet(X_1,join(X_39,X_1)),join(meet(X_1,join(X_39,X_1)),X_1))),X_1) )],[refute_0_385,refute_0_388]) ).
cnf(refute_0_390,plain,
( join(meet(X_1,meet(meet(X_1,join(X_39,X_1)),join(meet(X_1,join(X_39,X_1)),X_1))),meet(X_1,join(X_39,X_1))) != X_1
| join(meet(X_1,meet(meet(X_1,join(X_39,X_1)),join(meet(X_1,join(X_39,X_1)),X_1))),meet(X_1,join(X_39,X_1))) != join(X_1,meet(X_1,join(X_39,X_1)))
| join(X_1,meet(X_1,join(X_39,X_1))) = X_1 ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_1,meet(meet(X_1,join(X_39,X_1)),join(meet(X_1,join(X_39,X_1)),X_1))),meet(X_1,join(X_39,X_1))),X_1) ),[0],$fot(join(X_1,meet(X_1,join(X_39,X_1))))]]) ).
cnf(refute_0_391,plain,
( join(meet(X_1,meet(meet(X_1,join(X_39,X_1)),join(meet(X_1,join(X_39,X_1)),X_1))),meet(X_1,join(X_39,X_1))) != X_1
| join(X_1,meet(X_1,join(X_39,X_1))) = X_1 ),
inference(resolve,[$cnf( $equal(join(meet(X_1,meet(meet(X_1,join(X_39,X_1)),join(meet(X_1,join(X_39,X_1)),X_1))),meet(X_1,join(X_39,X_1))),join(X_1,meet(X_1,join(X_39,X_1)))) )],[refute_0_389,refute_0_390]) ).
cnf(refute_0_392,plain,
join(X_1,meet(X_1,join(X_39,X_1))) = X_1,
inference(resolve,[$cnf( $equal(join(meet(X_1,meet(meet(X_1,join(X_39,X_1)),join(meet(X_1,join(X_39,X_1)),X_1))),meet(X_1,join(X_39,X_1))),X_1) )],[refute_0_341,refute_0_391]) ).
cnf(refute_0_393,plain,
join(X_13,meet(X_13,join(X_39,X_13))) = X_13,
inference(subst,[],[refute_0_392:[bind(X_1,$fot(X_13))]]) ).
cnf(refute_0_394,plain,
join(join(X_13,meet(X_13,join(X_39,X_13))),meet(X_13,join(X_39,X_13))) = join(join(X_13,meet(X_13,join(X_39,X_13))),meet(X_13,join(X_39,X_13))),
introduced(tautology,[refl,[$fot(join(join(X_13,meet(X_13,join(X_39,X_13))),meet(X_13,join(X_39,X_13))))]]) ).
cnf(refute_0_395,plain,
( join(X_13,meet(X_13,join(X_39,X_13))) != X_13
| join(join(X_13,meet(X_13,join(X_39,X_13))),meet(X_13,join(X_39,X_13))) != join(join(X_13,meet(X_13,join(X_39,X_13))),meet(X_13,join(X_39,X_13)))
| join(join(X_13,meet(X_13,join(X_39,X_13))),meet(X_13,join(X_39,X_13))) = join(X_13,meet(X_13,join(X_39,X_13))) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(X_13,meet(X_13,join(X_39,X_13))),meet(X_13,join(X_39,X_13))),join(join(X_13,meet(X_13,join(X_39,X_13))),meet(X_13,join(X_39,X_13)))) ),[1,0],$fot(X_13)]]) ).
cnf(refute_0_396,plain,
( join(X_13,meet(X_13,join(X_39,X_13))) != X_13
| join(join(X_13,meet(X_13,join(X_39,X_13))),meet(X_13,join(X_39,X_13))) = join(X_13,meet(X_13,join(X_39,X_13))) ),
inference(resolve,[$cnf( $equal(join(join(X_13,meet(X_13,join(X_39,X_13))),meet(X_13,join(X_39,X_13))),join(join(X_13,meet(X_13,join(X_39,X_13))),meet(X_13,join(X_39,X_13)))) )],[refute_0_394,refute_0_395]) ).
cnf(refute_0_397,plain,
join(join(X_13,meet(X_13,join(X_39,X_13))),meet(X_13,join(X_39,X_13))) = join(X_13,meet(X_13,join(X_39,X_13))),
inference(resolve,[$cnf( $equal(join(X_13,meet(X_13,join(X_39,X_13))),X_13) )],[refute_0_393,refute_0_396]) ).
cnf(refute_0_398,plain,
( join(X_13,meet(X_13,join(X_39,X_13))) != X_13
| join(join(X_13,meet(X_13,join(X_39,X_13))),meet(X_13,join(X_39,X_13))) != join(X_13,meet(X_13,join(X_39,X_13)))
| join(join(X_13,meet(X_13,join(X_39,X_13))),meet(X_13,join(X_39,X_13))) = X_13 ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(join(join(X_13,meet(X_13,join(X_39,X_13))),meet(X_13,join(X_39,X_13))))),bind(Y0,$fot(join(X_13,meet(X_13,join(X_39,X_13))))),bind(Z0,$fot(X_13))]]) ).
cnf(refute_0_399,plain,
( join(X_13,meet(X_13,join(X_39,X_13))) != X_13
| join(join(X_13,meet(X_13,join(X_39,X_13))),meet(X_13,join(X_39,X_13))) = X_13 ),
inference(resolve,[$cnf( $equal(join(join(X_13,meet(X_13,join(X_39,X_13))),meet(X_13,join(X_39,X_13))),join(X_13,meet(X_13,join(X_39,X_13)))) )],[refute_0_397,refute_0_398]) ).
cnf(refute_0_400,plain,
join(join(X_13,meet(X_13,join(X_39,X_13))),meet(X_13,join(X_39,X_13))) = X_13,
inference(resolve,[$cnf( $equal(join(X_13,meet(X_13,join(X_39,X_13))),X_13) )],[refute_0_393,refute_0_399]) ).
cnf(refute_0_401,plain,
( join(join(X_13,meet(X_13,join(X_39,X_13))),meet(X_13,join(X_39,X_13))) != X_13
| join(join(X_13,meet(X_13,join(X_39,X_13))),meet(X_13,join(X_39,X_13))) != meet(X_13,join(X_39,X_13))
| X_13 = meet(X_13,join(X_39,X_13)) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(X_13,meet(X_13,join(X_39,X_13))),meet(X_13,join(X_39,X_13))),meet(X_13,join(X_39,X_13))) ),[0],$fot(X_13)]]) ).
cnf(refute_0_402,plain,
( join(join(X_13,meet(X_13,join(X_39,X_13))),meet(X_13,join(X_39,X_13))) != meet(X_13,join(X_39,X_13))
| X_13 = meet(X_13,join(X_39,X_13)) ),
inference(resolve,[$cnf( $equal(join(join(X_13,meet(X_13,join(X_39,X_13))),meet(X_13,join(X_39,X_13))),X_13) )],[refute_0_400,refute_0_401]) ).
cnf(refute_0_403,plain,
X_13 = meet(X_13,join(X_39,X_13)),
inference(resolve,[$cnf( $equal(join(join(X_13,meet(X_13,join(X_39,X_13))),meet(X_13,join(X_39,X_13))),meet(X_13,join(X_39,X_13))) )],[refute_0_314,refute_0_402]) ).
cnf(refute_0_404,plain,
( X_13 != meet(X_13,join(X_39,X_13))
| meet(X_13,join(X_39,X_13)) = X_13 ),
inference(subst,[],[refute_0_20:[bind(X0,$fot(X_13)),bind(Y0,$fot(meet(X_13,join(X_39,X_13))))]]) ).
cnf(refute_0_405,plain,
meet(X_13,join(X_39,X_13)) = X_13,
inference(resolve,[$cnf( $equal(X_13,meet(X_13,join(X_39,X_13))) )],[refute_0_403,refute_0_404]) ).
cnf(refute_0_406,plain,
meet(Y,join(meet(Y,X_18),Y)) = Y,
inference(subst,[],[refute_0_405:[bind(X_13,$fot(Y)),bind(X_39,$fot(meet(Y,X_18)))]]) ).
cnf(refute_0_407,plain,
( meet(Y,join(meet(Y,X_18),Y)) != Y
| meet(Y,join(meet(Y,X_18),Y)) != join(meet(Y,X_18),Y)
| Y = join(meet(Y,X_18),Y) ),
introduced(tautology,[equality,[$cnf( $equal(meet(Y,join(meet(Y,X_18),Y)),join(meet(Y,X_18),Y)) ),[0],$fot(Y)]]) ).
cnf(refute_0_408,plain,
( meet(Y,join(meet(Y,X_18),Y)) != join(meet(Y,X_18),Y)
| Y = join(meet(Y,X_18),Y) ),
inference(resolve,[$cnf( $equal(meet(Y,join(meet(Y,X_18),Y)),Y) )],[refute_0_406,refute_0_407]) ).
cnf(refute_0_409,plain,
Y = join(meet(Y,X_18),Y),
inference(resolve,[$cnf( $equal(meet(Y,join(meet(Y,X_18),Y)),join(meet(Y,X_18),Y)) )],[refute_0_309,refute_0_408]) ).
cnf(refute_0_410,plain,
Y = join(meet(Y,X_90),Y),
inference(subst,[],[refute_0_409:[bind(X_18,$fot(X_90))]]) ).
cnf(refute_0_411,plain,
( Y != join(meet(Y,X_90),Y)
| join(meet(Y,X_90),Y) = Y ),
inference(subst,[],[refute_0_20:[bind(X0,$fot(Y)),bind(Y0,$fot(join(meet(Y,X_90),Y)))]]) ).
cnf(refute_0_412,plain,
join(meet(Y,X_90),Y) = Y,
inference(resolve,[$cnf( $equal(Y,join(meet(Y,X_90),Y)) )],[refute_0_410,refute_0_411]) ).
cnf(refute_0_413,plain,
( join(meet(Y,X_90),Y) != Y
| join(meet(meet(Y,X_90),Y),meet(meet(Y,X_90),join(meet(Y,X_90),Y))) != meet(Y,X_90)
| join(meet(meet(Y,X_90),Y),meet(meet(Y,X_90),Y)) = meet(Y,X_90) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(Y,X_90),Y),meet(meet(Y,X_90),join(meet(Y,X_90),Y))),meet(Y,X_90)) ),[0,1,1],$fot(Y)]]) ).
cnf(refute_0_414,plain,
( join(meet(meet(Y,X_90),Y),meet(meet(Y,X_90),join(meet(Y,X_90),Y))) != meet(Y,X_90)
| join(meet(meet(Y,X_90),Y),meet(meet(Y,X_90),Y)) = meet(Y,X_90) ),
inference(resolve,[$cnf( $equal(join(meet(Y,X_90),Y),Y) )],[refute_0_412,refute_0_413]) ).
cnf(refute_0_415,plain,
join(meet(meet(Y,X_90),Y),meet(meet(Y,X_90),Y)) = meet(Y,X_90),
inference(resolve,[$cnf( $equal(join(meet(meet(Y,X_90),Y),meet(meet(Y,X_90),join(meet(Y,X_90),Y))),meet(Y,X_90)) )],[refute_0_185,refute_0_414]) ).
cnf(refute_0_416,plain,
join(meet(meet(Y,X_90),Y),meet(meet(Y,X_90),Y)) = meet(meet(Y,X_90),Y),
inference(subst,[],[refute_0_152:[bind(X_11,$fot(meet(meet(Y,X_90),Y)))]]) ).
cnf(refute_0_417,plain,
( join(meet(meet(Y,X_90),Y),meet(meet(Y,X_90),Y)) != meet(Y,X_90)
| join(meet(meet(Y,X_90),Y),meet(meet(Y,X_90),Y)) != meet(meet(Y,X_90),Y)
| meet(meet(Y,X_90),Y) = meet(Y,X_90) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(Y,X_90),Y),meet(meet(Y,X_90),Y)),meet(Y,X_90)) ),[0],$fot(meet(meet(Y,X_90),Y))]]) ).
cnf(refute_0_418,plain,
( join(meet(meet(Y,X_90),Y),meet(meet(Y,X_90),Y)) != meet(Y,X_90)
| meet(meet(Y,X_90),Y) = meet(Y,X_90) ),
inference(resolve,[$cnf( $equal(join(meet(meet(Y,X_90),Y),meet(meet(Y,X_90),Y)),meet(meet(Y,X_90),Y)) )],[refute_0_416,refute_0_417]) ).
cnf(refute_0_419,plain,
meet(meet(Y,X_90),Y) = meet(Y,X_90),
inference(resolve,[$cnf( $equal(join(meet(meet(Y,X_90),Y),meet(meet(Y,X_90),Y)),meet(Y,X_90)) )],[refute_0_415,refute_0_418]) ).
cnf(refute_0_420,plain,
meet(meet(X,X_94),X) = meet(X,X_94),
inference(subst,[],[refute_0_419:[bind(Y,$fot(X)),bind(X_90,$fot(X_94))]]) ).
cnf(refute_0_421,plain,
( join(X,meet(meet(X,X_94),X)) != X
| meet(meet(X,X_94),X) != meet(X,X_94)
| join(X,meet(X,X_94)) = X ),
introduced(tautology,[equality,[$cnf( $equal(join(X,meet(meet(X,X_94),X)),X) ),[0,1],$fot(meet(X,X_94))]]) ).
cnf(refute_0_422,plain,
( join(X,meet(meet(X,X_94),X)) != X
| join(X,meet(X,X_94)) = X ),
inference(resolve,[$cnf( $equal(meet(meet(X,X_94),X),meet(X,X_94)) )],[refute_0_420,refute_0_421]) ).
cnf(refute_0_423,plain,
join(X,meet(X,X_94)) = X,
inference(resolve,[$cnf( $equal(join(X,meet(meet(X,X_94),X)),X) )],[refute_0_184,refute_0_422]) ).
cnf(refute_0_424,plain,
join(X,meet(X,Y)) = X,
inference(subst,[],[refute_0_423:[bind(X_94,$fot(Y))]]) ).
cnf(refute_0_425,plain,
( join(X,meet(X,Y)) != X
| meet(meet(Y,join(X,meet(X,Y))),meet(X,Y)) != meet(X,Y)
| meet(meet(Y,X),meet(X,Y)) = meet(X,Y) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(Y,join(X,meet(X,Y))),meet(X,Y)),meet(X,Y)) ),[0,0,1],$fot(X)]]) ).
cnf(refute_0_426,plain,
( meet(meet(Y,join(X,meet(X,Y))),meet(X,Y)) != meet(X,Y)
| meet(meet(Y,X),meet(X,Y)) = meet(X,Y) ),
inference(resolve,[$cnf( $equal(join(X,meet(X,Y)),X) )],[refute_0_424,refute_0_425]) ).
cnf(refute_0_427,plain,
meet(meet(Y,X),meet(X,Y)) = meet(X,Y),
inference(resolve,[$cnf( $equal(meet(meet(Y,join(X,meet(X,Y))),meet(X,Y)),meet(X,Y)) )],[refute_0_163,refute_0_426]) ).
cnf(refute_0_428,plain,
meet(meet(meet(X_97,X_98),meet(X_98,X_97)),meet(meet(X_98,X_97),meet(X_97,X_98))) = meet(meet(X_98,X_97),meet(X_97,X_98)),
inference(subst,[],[refute_0_427:[bind(X,$fot(meet(X_98,X_97))),bind(Y,$fot(meet(X_97,X_98)))]]) ).
cnf(refute_0_429,plain,
meet(meet(X_98,X_97),meet(X_97,X_98)) = meet(X_97,X_98),
inference(subst,[],[refute_0_427:[bind(X,$fot(X_97)),bind(Y,$fot(X_98))]]) ).
cnf(refute_0_430,plain,
( meet(meet(X_98,X_97),meet(X_97,X_98)) != meet(X_97,X_98)
| meet(meet(meet(X_97,X_98),meet(X_98,X_97)),meet(meet(X_98,X_97),meet(X_97,X_98))) != meet(meet(X_98,X_97),meet(X_97,X_98))
| meet(meet(meet(X_97,X_98),meet(X_98,X_97)),meet(X_97,X_98)) = meet(meet(X_98,X_97),meet(X_97,X_98)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(meet(X_97,X_98),meet(X_98,X_97)),meet(meet(X_98,X_97),meet(X_97,X_98))),meet(meet(X_98,X_97),meet(X_97,X_98))) ),[0,1],$fot(meet(X_97,X_98))]]) ).
cnf(refute_0_431,plain,
( meet(meet(meet(X_97,X_98),meet(X_98,X_97)),meet(meet(X_98,X_97),meet(X_97,X_98))) != meet(meet(X_98,X_97),meet(X_97,X_98))
| meet(meet(meet(X_97,X_98),meet(X_98,X_97)),meet(X_97,X_98)) = meet(meet(X_98,X_97),meet(X_97,X_98)) ),
inference(resolve,[$cnf( $equal(meet(meet(X_98,X_97),meet(X_97,X_98)),meet(X_97,X_98)) )],[refute_0_429,refute_0_430]) ).
cnf(refute_0_432,plain,
meet(meet(meet(X_97,X_98),meet(X_98,X_97)),meet(X_97,X_98)) = meet(meet(X_98,X_97),meet(X_97,X_98)),
inference(resolve,[$cnf( $equal(meet(meet(meet(X_97,X_98),meet(X_98,X_97)),meet(meet(X_98,X_97),meet(X_97,X_98))),meet(meet(X_98,X_97),meet(X_97,X_98))) )],[refute_0_428,refute_0_431]) ).
cnf(refute_0_433,plain,
meet(meet(X_97,X_98),meet(X_98,X_97)) = meet(X_98,X_97),
inference(subst,[],[refute_0_427:[bind(X,$fot(X_98)),bind(Y,$fot(X_97))]]) ).
cnf(refute_0_434,plain,
meet(meet(meet(X_97,X_98),meet(X_98,X_97)),meet(X_97,X_98)) = meet(meet(X_97,X_98),meet(X_98,X_97)),
inference(subst,[],[refute_0_419:[bind(Y,$fot(meet(X_97,X_98))),bind(X_90,$fot(meet(X_98,X_97)))]]) ).
cnf(refute_0_435,plain,
( meet(meet(X_97,X_98),meet(X_98,X_97)) != meet(X_98,X_97)
| meet(meet(meet(X_97,X_98),meet(X_98,X_97)),meet(X_97,X_98)) != meet(meet(X_97,X_98),meet(X_98,X_97))
| meet(meet(meet(X_97,X_98),meet(X_98,X_97)),meet(X_97,X_98)) = meet(X_98,X_97) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(meet(meet(meet(X_97,X_98),meet(X_98,X_97)),meet(X_97,X_98)))),bind(Y0,$fot(meet(meet(X_97,X_98),meet(X_98,X_97)))),bind(Z0,$fot(meet(X_98,X_97)))]]) ).
cnf(refute_0_436,plain,
( meet(meet(X_97,X_98),meet(X_98,X_97)) != meet(X_98,X_97)
| meet(meet(meet(X_97,X_98),meet(X_98,X_97)),meet(X_97,X_98)) = meet(X_98,X_97) ),
inference(resolve,[$cnf( $equal(meet(meet(meet(X_97,X_98),meet(X_98,X_97)),meet(X_97,X_98)),meet(meet(X_97,X_98),meet(X_98,X_97))) )],[refute_0_434,refute_0_435]) ).
cnf(refute_0_437,plain,
meet(meet(meet(X_97,X_98),meet(X_98,X_97)),meet(X_97,X_98)) = meet(X_98,X_97),
inference(resolve,[$cnf( $equal(meet(meet(X_97,X_98),meet(X_98,X_97)),meet(X_98,X_97)) )],[refute_0_433,refute_0_436]) ).
cnf(refute_0_438,plain,
( meet(meet(meet(X_97,X_98),meet(X_98,X_97)),meet(X_97,X_98)) != meet(X_98,X_97)
| meet(meet(meet(X_97,X_98),meet(X_98,X_97)),meet(X_97,X_98)) != meet(meet(X_98,X_97),meet(X_97,X_98))
| meet(X_98,X_97) = meet(meet(X_98,X_97),meet(X_97,X_98)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(meet(X_97,X_98),meet(X_98,X_97)),meet(X_97,X_98)),meet(meet(X_98,X_97),meet(X_97,X_98))) ),[0],$fot(meet(X_98,X_97))]]) ).
cnf(refute_0_439,plain,
( meet(meet(meet(X_97,X_98),meet(X_98,X_97)),meet(X_97,X_98)) != meet(meet(X_98,X_97),meet(X_97,X_98))
| meet(X_98,X_97) = meet(meet(X_98,X_97),meet(X_97,X_98)) ),
inference(resolve,[$cnf( $equal(meet(meet(meet(X_97,X_98),meet(X_98,X_97)),meet(X_97,X_98)),meet(X_98,X_97)) )],[refute_0_437,refute_0_438]) ).
cnf(refute_0_440,plain,
( meet(X_98,X_97) != meet(meet(X_98,X_97),meet(X_97,X_98))
| meet(meet(X_98,X_97),meet(X_97,X_98)) != meet(X_97,X_98)
| meet(X_98,X_97) = meet(X_97,X_98) ),
introduced(tautology,[equality,[$cnf( ~ $equal(meet(X_98,X_97),meet(X_97,X_98)) ),[0],$fot(meet(meet(X_98,X_97),meet(X_97,X_98)))]]) ).
cnf(refute_0_441,plain,
( meet(X_98,X_97) != meet(meet(X_98,X_97),meet(X_97,X_98))
| meet(X_98,X_97) = meet(X_97,X_98) ),
inference(resolve,[$cnf( $equal(meet(meet(X_98,X_97),meet(X_97,X_98)),meet(X_97,X_98)) )],[refute_0_429,refute_0_440]) ).
cnf(refute_0_442,plain,
( meet(meet(meet(X_97,X_98),meet(X_98,X_97)),meet(X_97,X_98)) != meet(meet(X_98,X_97),meet(X_97,X_98))
| meet(X_98,X_97) = meet(X_97,X_98) ),
inference(resolve,[$cnf( $equal(meet(X_98,X_97),meet(meet(X_98,X_97),meet(X_97,X_98))) )],[refute_0_439,refute_0_441]) ).
cnf(refute_0_443,plain,
meet(X_98,X_97) = meet(X_97,X_98),
inference(resolve,[$cnf( $equal(meet(meet(meet(X_97,X_98),meet(X_98,X_97)),meet(X_97,X_98)),meet(meet(X_98,X_97),meet(X_97,X_98))) )],[refute_0_432,refute_0_442]) ).
cnf(refute_0_444,plain,
( meet(X_98,X_97) != meet(X_97,X_98)
| meet(X_97,X_98) = meet(X_98,X_97) ),
inference(subst,[],[refute_0_20:[bind(X0,$fot(meet(X_98,X_97))),bind(Y0,$fot(meet(X_97,X_98)))]]) ).
cnf(refute_0_445,plain,
meet(X_97,X_98) = meet(X_98,X_97),
inference(resolve,[$cnf( $equal(meet(X_98,X_97),meet(X_97,X_98)) )],[refute_0_443,refute_0_444]) ).
cnf(refute_0_446,plain,
meet(b,a) = meet(a,b),
inference(subst,[],[refute_0_445:[bind(X_97,$fot(b)),bind(X_98,$fot(a))]]) ).
cnf(refute_0_447,plain,
( meet(a,b) != meet(a,b)
| meet(b,a) != meet(a,b)
| meet(b,a) = meet(a,b) ),
introduced(tautology,[equality,[$cnf( $equal(meet(b,a),meet(a,b)) ),[1],$fot(meet(a,b))]]) ).
cnf(refute_0_448,plain,
( meet(a,b) != meet(a,b)
| meet(b,a) = meet(a,b) ),
inference(resolve,[$cnf( $equal(meet(b,a),meet(a,b)) )],[refute_0_446,refute_0_447]) ).
cnf(refute_0_449,plain,
( join(b,a) != join(a,b)
| meet(a,b) != meet(a,b) ),
inference(resolve,[$cnf( $equal(meet(b,a),meet(a,b)) )],[refute_0_448,refute_0_158]) ).
cnf(refute_0_450,plain,
meet(a,b) = meet(a,b),
introduced(tautology,[refl,[$fot(meet(a,b))]]) ).
cnf(refute_0_451,plain,
join(b,a) != join(a,b),
inference(resolve,[$cnf( $equal(meet(a,b),meet(a,b)) )],[refute_0_450,refute_0_449]) ).
cnf(refute_0_452,plain,
meet(join(X_151,X_152),join(X_152,X_151)) = meet(join(X_152,X_151),join(X_151,X_152)),
inference(subst,[],[refute_0_443:[bind(X_97,$fot(join(X_152,X_151))),bind(X_98,$fot(join(X_151,X_152)))]]) ).
cnf(refute_0_453,plain,
join(join(meet(meet(join(X_13,Y),join(Z,X_13)),X_13),meet(X_14,meet(join(X_13,Y),join(Z,X_13)))),meet(join(X_13,Y),join(Z,X_13))) = meet(join(X_13,Y),join(Z,X_13)),
inference(subst,[],[wal_absorbtion_5:[bind(X,$fot(meet(join(X_13,Y),join(Z,X_13)))),bind(Y,$fot(X_13)),bind(Z,$fot(X_14))]]) ).
cnf(refute_0_454,plain,
meet(meet(join(X_13,Y),join(Z,X_13)),X_13) = X_13,
inference(subst,[],[wal_absorbtion_4:[bind(X,$fot(X_13))]]) ).
cnf(refute_0_455,plain,
( join(join(meet(meet(join(X_13,Y),join(Z,X_13)),X_13),meet(X_14,meet(join(X_13,Y),join(Z,X_13)))),meet(join(X_13,Y),join(Z,X_13))) != meet(join(X_13,Y),join(Z,X_13))
| meet(meet(join(X_13,Y),join(Z,X_13)),X_13) != X_13
| join(join(X_13,meet(X_14,meet(join(X_13,Y),join(Z,X_13)))),meet(join(X_13,Y),join(Z,X_13))) = meet(join(X_13,Y),join(Z,X_13)) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(meet(meet(join(X_13,Y),join(Z,X_13)),X_13),meet(X_14,meet(join(X_13,Y),join(Z,X_13)))),meet(join(X_13,Y),join(Z,X_13))),meet(join(X_13,Y),join(Z,X_13))) ),[0,0,0],$fot(X_13)]]) ).
cnf(refute_0_456,plain,
( join(join(meet(meet(join(X_13,Y),join(Z,X_13)),X_13),meet(X_14,meet(join(X_13,Y),join(Z,X_13)))),meet(join(X_13,Y),join(Z,X_13))) != meet(join(X_13,Y),join(Z,X_13))
| join(join(X_13,meet(X_14,meet(join(X_13,Y),join(Z,X_13)))),meet(join(X_13,Y),join(Z,X_13))) = meet(join(X_13,Y),join(Z,X_13)) ),
inference(resolve,[$cnf( $equal(meet(meet(join(X_13,Y),join(Z,X_13)),X_13),X_13) )],[refute_0_454,refute_0_455]) ).
cnf(refute_0_457,plain,
join(join(X_13,meet(X_14,meet(join(X_13,Y),join(Z,X_13)))),meet(join(X_13,Y),join(Z,X_13))) = meet(join(X_13,Y),join(Z,X_13)),
inference(resolve,[$cnf( $equal(join(join(meet(meet(join(X_13,Y),join(Z,X_13)),X_13),meet(X_14,meet(join(X_13,Y),join(Z,X_13)))),meet(join(X_13,Y),join(Z,X_13))),meet(join(X_13,Y),join(Z,X_13))) )],[refute_0_453,refute_0_456]) ).
cnf(refute_0_458,plain,
join(join(X_13,meet(Z,meet(join(X_13,Z),join(Z,X_13)))),meet(join(X_13,Z),join(Z,X_13))) = meet(join(X_13,Z),join(Z,X_13)),
inference(subst,[],[refute_0_457:[bind(Y,$fot(Z)),bind(X_14,$fot(Z))]]) ).
cnf(refute_0_459,plain,
join(meet(meet(meet(join(X_1,X_9),join(X_10,X_1)),X_1),meet(meet(join(X_1,X_9),join(X_10,X_1)),join(meet(join(X_1,X_9),join(X_10,X_1)),X_1))),meet(meet(meet(join(X_1,X_9),join(X_10,X_1)),X_1),meet(join(X_1,X_9),join(X_10,X_1)))) = meet(meet(join(X_1,X_9),join(X_10,X_1)),X_1),
inference(subst,[],[refute_0_44:[bind(X_0,$fot(meet(join(X_1,X_9),join(X_10,X_1))))]]) ).
cnf(refute_0_460,plain,
meet(meet(join(X_1,X_9),join(X_10,X_1)),X_1) = X_1,
inference(subst,[],[wal_absorbtion_4:[bind(X,$fot(X_1)),bind(Y,$fot(X_9)),bind(Z,$fot(X_10))]]) ).
cnf(refute_0_461,plain,
( join(meet(meet(meet(join(X_1,X_9),join(X_10,X_1)),X_1),meet(meet(join(X_1,X_9),join(X_10,X_1)),join(meet(join(X_1,X_9),join(X_10,X_1)),X_1))),meet(meet(meet(join(X_1,X_9),join(X_10,X_1)),X_1),meet(join(X_1,X_9),join(X_10,X_1)))) != meet(meet(join(X_1,X_9),join(X_10,X_1)),X_1)
| meet(meet(join(X_1,X_9),join(X_10,X_1)),X_1) != X_1
| join(meet(X_1,meet(meet(join(X_1,X_9),join(X_10,X_1)),join(meet(join(X_1,X_9),join(X_10,X_1)),X_1))),meet(meet(meet(join(X_1,X_9),join(X_10,X_1)),X_1),meet(join(X_1,X_9),join(X_10,X_1)))) = meet(meet(join(X_1,X_9),join(X_10,X_1)),X_1) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(meet(join(X_1,X_9),join(X_10,X_1)),X_1),meet(meet(join(X_1,X_9),join(X_10,X_1)),join(meet(join(X_1,X_9),join(X_10,X_1)),X_1))),meet(meet(meet(join(X_1,X_9),join(X_10,X_1)),X_1),meet(join(X_1,X_9),join(X_10,X_1)))),meet(meet(join(X_1,X_9),join(X_10,X_1)),X_1)) ),[0,0,0],$fot(X_1)]]) ).
cnf(refute_0_462,plain,
( join(meet(meet(meet(join(X_1,X_9),join(X_10,X_1)),X_1),meet(meet(join(X_1,X_9),join(X_10,X_1)),join(meet(join(X_1,X_9),join(X_10,X_1)),X_1))),meet(meet(meet(join(X_1,X_9),join(X_10,X_1)),X_1),meet(join(X_1,X_9),join(X_10,X_1)))) != meet(meet(join(X_1,X_9),join(X_10,X_1)),X_1)
| join(meet(X_1,meet(meet(join(X_1,X_9),join(X_10,X_1)),join(meet(join(X_1,X_9),join(X_10,X_1)),X_1))),meet(meet(meet(join(X_1,X_9),join(X_10,X_1)),X_1),meet(join(X_1,X_9),join(X_10,X_1)))) = meet(meet(join(X_1,X_9),join(X_10,X_1)),X_1) ),
inference(resolve,[$cnf( $equal(meet(meet(join(X_1,X_9),join(X_10,X_1)),X_1),X_1) )],[refute_0_460,refute_0_461]) ).
cnf(refute_0_463,plain,
join(meet(X_1,meet(meet(join(X_1,X_9),join(X_10,X_1)),join(meet(join(X_1,X_9),join(X_10,X_1)),X_1))),meet(meet(meet(join(X_1,X_9),join(X_10,X_1)),X_1),meet(join(X_1,X_9),join(X_10,X_1)))) = meet(meet(join(X_1,X_9),join(X_10,X_1)),X_1),
inference(resolve,[$cnf( $equal(join(meet(meet(meet(join(X_1,X_9),join(X_10,X_1)),X_1),meet(meet(join(X_1,X_9),join(X_10,X_1)),join(meet(join(X_1,X_9),join(X_10,X_1)),X_1))),meet(meet(meet(join(X_1,X_9),join(X_10,X_1)),X_1),meet(join(X_1,X_9),join(X_10,X_1)))),meet(meet(join(X_1,X_9),join(X_10,X_1)),X_1)) )],[refute_0_459,refute_0_462]) ).
cnf(refute_0_464,plain,
meet(meet(meet(join(X_1,X_9),join(X_10,X_1)),X_1),meet(join(X_1,X_9),join(X_10,X_1))) = meet(meet(meet(join(X_1,X_9),join(X_10,X_1)),X_1),meet(join(X_1,X_9),join(X_10,X_1))),
introduced(tautology,[refl,[$fot(meet(meet(meet(join(X_1,X_9),join(X_10,X_1)),X_1),meet(join(X_1,X_9),join(X_10,X_1))))]]) ).
cnf(refute_0_465,plain,
( meet(meet(join(X_1,X_9),join(X_10,X_1)),X_1) != X_1
| meet(meet(meet(join(X_1,X_9),join(X_10,X_1)),X_1),meet(join(X_1,X_9),join(X_10,X_1))) != meet(meet(meet(join(X_1,X_9),join(X_10,X_1)),X_1),meet(join(X_1,X_9),join(X_10,X_1)))
| meet(meet(meet(join(X_1,X_9),join(X_10,X_1)),X_1),meet(join(X_1,X_9),join(X_10,X_1))) = meet(X_1,meet(join(X_1,X_9),join(X_10,X_1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(meet(join(X_1,X_9),join(X_10,X_1)),X_1),meet(join(X_1,X_9),join(X_10,X_1))),meet(meet(meet(join(X_1,X_9),join(X_10,X_1)),X_1),meet(join(X_1,X_9),join(X_10,X_1)))) ),[1,0],$fot(X_1)]]) ).
cnf(refute_0_466,plain,
( meet(meet(join(X_1,X_9),join(X_10,X_1)),X_1) != X_1
| meet(meet(meet(join(X_1,X_9),join(X_10,X_1)),X_1),meet(join(X_1,X_9),join(X_10,X_1))) = meet(X_1,meet(join(X_1,X_9),join(X_10,X_1))) ),
inference(resolve,[$cnf( $equal(meet(meet(meet(join(X_1,X_9),join(X_10,X_1)),X_1),meet(join(X_1,X_9),join(X_10,X_1))),meet(meet(meet(join(X_1,X_9),join(X_10,X_1)),X_1),meet(join(X_1,X_9),join(X_10,X_1)))) )],[refute_0_464,refute_0_465]) ).
cnf(refute_0_467,plain,
meet(meet(meet(join(X_1,X_9),join(X_10,X_1)),X_1),meet(join(X_1,X_9),join(X_10,X_1))) = meet(X_1,meet(join(X_1,X_9),join(X_10,X_1))),
inference(resolve,[$cnf( $equal(meet(meet(join(X_1,X_9),join(X_10,X_1)),X_1),X_1) )],[refute_0_460,refute_0_466]) ).
cnf(refute_0_468,plain,
join(meet(X_1,meet(meet(join(X_1,X_9),join(X_10,X_1)),join(meet(join(X_1,X_9),join(X_10,X_1)),X_1))),meet(meet(meet(join(X_1,X_9),join(X_10,X_1)),X_1),meet(join(X_1,X_9),join(X_10,X_1)))) = join(meet(X_1,meet(meet(join(X_1,X_9),join(X_10,X_1)),join(meet(join(X_1,X_9),join(X_10,X_1)),X_1))),meet(meet(meet(join(X_1,X_9),join(X_10,X_1)),X_1),meet(join(X_1,X_9),join(X_10,X_1)))),
introduced(tautology,[refl,[$fot(join(meet(X_1,meet(meet(join(X_1,X_9),join(X_10,X_1)),join(meet(join(X_1,X_9),join(X_10,X_1)),X_1))),meet(meet(meet(join(X_1,X_9),join(X_10,X_1)),X_1),meet(join(X_1,X_9),join(X_10,X_1)))))]]) ).
cnf(refute_0_469,plain,
( join(meet(X_1,meet(meet(join(X_1,X_9),join(X_10,X_1)),join(meet(join(X_1,X_9),join(X_10,X_1)),X_1))),meet(meet(meet(join(X_1,X_9),join(X_10,X_1)),X_1),meet(join(X_1,X_9),join(X_10,X_1)))) != join(meet(X_1,meet(meet(join(X_1,X_9),join(X_10,X_1)),join(meet(join(X_1,X_9),join(X_10,X_1)),X_1))),meet(meet(meet(join(X_1,X_9),join(X_10,X_1)),X_1),meet(join(X_1,X_9),join(X_10,X_1))))
| meet(meet(meet(join(X_1,X_9),join(X_10,X_1)),X_1),meet(join(X_1,X_9),join(X_10,X_1))) != meet(X_1,meet(join(X_1,X_9),join(X_10,X_1)))
| join(meet(X_1,meet(meet(join(X_1,X_9),join(X_10,X_1)),join(meet(join(X_1,X_9),join(X_10,X_1)),X_1))),meet(meet(meet(join(X_1,X_9),join(X_10,X_1)),X_1),meet(join(X_1,X_9),join(X_10,X_1)))) = join(meet(X_1,meet(meet(join(X_1,X_9),join(X_10,X_1)),join(meet(join(X_1,X_9),join(X_10,X_1)),X_1))),meet(X_1,meet(join(X_1,X_9),join(X_10,X_1)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_1,meet(meet(join(X_1,X_9),join(X_10,X_1)),join(meet(join(X_1,X_9),join(X_10,X_1)),X_1))),meet(meet(meet(join(X_1,X_9),join(X_10,X_1)),X_1),meet(join(X_1,X_9),join(X_10,X_1)))),join(meet(X_1,meet(meet(join(X_1,X_9),join(X_10,X_1)),join(meet(join(X_1,X_9),join(X_10,X_1)),X_1))),meet(meet(meet(join(X_1,X_9),join(X_10,X_1)),X_1),meet(join(X_1,X_9),join(X_10,X_1))))) ),[1,1],$fot(meet(X_1,meet(join(X_1,X_9),join(X_10,X_1))))]]) ).
cnf(refute_0_470,plain,
( meet(meet(meet(join(X_1,X_9),join(X_10,X_1)),X_1),meet(join(X_1,X_9),join(X_10,X_1))) != meet(X_1,meet(join(X_1,X_9),join(X_10,X_1)))
| join(meet(X_1,meet(meet(join(X_1,X_9),join(X_10,X_1)),join(meet(join(X_1,X_9),join(X_10,X_1)),X_1))),meet(meet(meet(join(X_1,X_9),join(X_10,X_1)),X_1),meet(join(X_1,X_9),join(X_10,X_1)))) = join(meet(X_1,meet(meet(join(X_1,X_9),join(X_10,X_1)),join(meet(join(X_1,X_9),join(X_10,X_1)),X_1))),meet(X_1,meet(join(X_1,X_9),join(X_10,X_1)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_1,meet(meet(join(X_1,X_9),join(X_10,X_1)),join(meet(join(X_1,X_9),join(X_10,X_1)),X_1))),meet(meet(meet(join(X_1,X_9),join(X_10,X_1)),X_1),meet(join(X_1,X_9),join(X_10,X_1)))),join(meet(X_1,meet(meet(join(X_1,X_9),join(X_10,X_1)),join(meet(join(X_1,X_9),join(X_10,X_1)),X_1))),meet(meet(meet(join(X_1,X_9),join(X_10,X_1)),X_1),meet(join(X_1,X_9),join(X_10,X_1))))) )],[refute_0_468,refute_0_469]) ).
cnf(refute_0_471,plain,
join(meet(X_1,meet(meet(join(X_1,X_9),join(X_10,X_1)),join(meet(join(X_1,X_9),join(X_10,X_1)),X_1))),meet(meet(meet(join(X_1,X_9),join(X_10,X_1)),X_1),meet(join(X_1,X_9),join(X_10,X_1)))) = join(meet(X_1,meet(meet(join(X_1,X_9),join(X_10,X_1)),join(meet(join(X_1,X_9),join(X_10,X_1)),X_1))),meet(X_1,meet(join(X_1,X_9),join(X_10,X_1)))),
inference(resolve,[$cnf( $equal(meet(meet(meet(join(X_1,X_9),join(X_10,X_1)),X_1),meet(join(X_1,X_9),join(X_10,X_1))),meet(X_1,meet(join(X_1,X_9),join(X_10,X_1)))) )],[refute_0_467,refute_0_470]) ).
cnf(refute_0_472,plain,
( join(meet(X_1,meet(meet(join(X_1,X_9),join(X_10,X_1)),join(meet(join(X_1,X_9),join(X_10,X_1)),X_1))),meet(meet(meet(join(X_1,X_9),join(X_10,X_1)),X_1),meet(join(X_1,X_9),join(X_10,X_1)))) != join(meet(X_1,meet(meet(join(X_1,X_9),join(X_10,X_1)),join(meet(join(X_1,X_9),join(X_10,X_1)),X_1))),meet(X_1,meet(join(X_1,X_9),join(X_10,X_1))))
| join(meet(X_1,meet(meet(join(X_1,X_9),join(X_10,X_1)),join(meet(join(X_1,X_9),join(X_10,X_1)),X_1))),meet(meet(meet(join(X_1,X_9),join(X_10,X_1)),X_1),meet(join(X_1,X_9),join(X_10,X_1)))) != meet(meet(join(X_1,X_9),join(X_10,X_1)),X_1)
| join(meet(X_1,meet(meet(join(X_1,X_9),join(X_10,X_1)),join(meet(join(X_1,X_9),join(X_10,X_1)),X_1))),meet(X_1,meet(join(X_1,X_9),join(X_10,X_1)))) = meet(meet(join(X_1,X_9),join(X_10,X_1)),X_1) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_1,meet(meet(join(X_1,X_9),join(X_10,X_1)),join(meet(join(X_1,X_9),join(X_10,X_1)),X_1))),meet(meet(meet(join(X_1,X_9),join(X_10,X_1)),X_1),meet(join(X_1,X_9),join(X_10,X_1)))),meet(meet(join(X_1,X_9),join(X_10,X_1)),X_1)) ),[0],$fot(join(meet(X_1,meet(meet(join(X_1,X_9),join(X_10,X_1)),join(meet(join(X_1,X_9),join(X_10,X_1)),X_1))),meet(X_1,meet(join(X_1,X_9),join(X_10,X_1)))))]]) ).
cnf(refute_0_473,plain,
( join(meet(X_1,meet(meet(join(X_1,X_9),join(X_10,X_1)),join(meet(join(X_1,X_9),join(X_10,X_1)),X_1))),meet(meet(meet(join(X_1,X_9),join(X_10,X_1)),X_1),meet(join(X_1,X_9),join(X_10,X_1)))) != meet(meet(join(X_1,X_9),join(X_10,X_1)),X_1)
| join(meet(X_1,meet(meet(join(X_1,X_9),join(X_10,X_1)),join(meet(join(X_1,X_9),join(X_10,X_1)),X_1))),meet(X_1,meet(join(X_1,X_9),join(X_10,X_1)))) = meet(meet(join(X_1,X_9),join(X_10,X_1)),X_1) ),
inference(resolve,[$cnf( $equal(join(meet(X_1,meet(meet(join(X_1,X_9),join(X_10,X_1)),join(meet(join(X_1,X_9),join(X_10,X_1)),X_1))),meet(meet(meet(join(X_1,X_9),join(X_10,X_1)),X_1),meet(join(X_1,X_9),join(X_10,X_1)))),join(meet(X_1,meet(meet(join(X_1,X_9),join(X_10,X_1)),join(meet(join(X_1,X_9),join(X_10,X_1)),X_1))),meet(X_1,meet(join(X_1,X_9),join(X_10,X_1))))) )],[refute_0_471,refute_0_472]) ).
cnf(refute_0_474,plain,
( join(meet(X_1,meet(meet(join(X_1,X_9),join(X_10,X_1)),join(meet(join(X_1,X_9),join(X_10,X_1)),X_1))),meet(X_1,meet(join(X_1,X_9),join(X_10,X_1)))) != meet(meet(join(X_1,X_9),join(X_10,X_1)),X_1)
| meet(meet(join(X_1,X_9),join(X_10,X_1)),X_1) != X_1
| join(meet(X_1,meet(meet(join(X_1,X_9),join(X_10,X_1)),join(meet(join(X_1,X_9),join(X_10,X_1)),X_1))),meet(X_1,meet(join(X_1,X_9),join(X_10,X_1)))) = X_1 ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(meet(X_1,meet(meet(join(X_1,X_9),join(X_10,X_1)),join(meet(join(X_1,X_9),join(X_10,X_1)),X_1))),meet(X_1,meet(join(X_1,X_9),join(X_10,X_1)))),X_1) ),[0],$fot(meet(meet(join(X_1,X_9),join(X_10,X_1)),X_1))]]) ).
cnf(refute_0_475,plain,
( join(meet(X_1,meet(meet(join(X_1,X_9),join(X_10,X_1)),join(meet(join(X_1,X_9),join(X_10,X_1)),X_1))),meet(X_1,meet(join(X_1,X_9),join(X_10,X_1)))) != meet(meet(join(X_1,X_9),join(X_10,X_1)),X_1)
| join(meet(X_1,meet(meet(join(X_1,X_9),join(X_10,X_1)),join(meet(join(X_1,X_9),join(X_10,X_1)),X_1))),meet(X_1,meet(join(X_1,X_9),join(X_10,X_1)))) = X_1 ),
inference(resolve,[$cnf( $equal(meet(meet(join(X_1,X_9),join(X_10,X_1)),X_1),X_1) )],[refute_0_460,refute_0_474]) ).
cnf(refute_0_476,plain,
( join(meet(X_1,meet(meet(join(X_1,X_9),join(X_10,X_1)),join(meet(join(X_1,X_9),join(X_10,X_1)),X_1))),meet(meet(meet(join(X_1,X_9),join(X_10,X_1)),X_1),meet(join(X_1,X_9),join(X_10,X_1)))) != meet(meet(join(X_1,X_9),join(X_10,X_1)),X_1)
| join(meet(X_1,meet(meet(join(X_1,X_9),join(X_10,X_1)),join(meet(join(X_1,X_9),join(X_10,X_1)),X_1))),meet(X_1,meet(join(X_1,X_9),join(X_10,X_1)))) = X_1 ),
inference(resolve,[$cnf( $equal(join(meet(X_1,meet(meet(join(X_1,X_9),join(X_10,X_1)),join(meet(join(X_1,X_9),join(X_10,X_1)),X_1))),meet(X_1,meet(join(X_1,X_9),join(X_10,X_1)))),meet(meet(join(X_1,X_9),join(X_10,X_1)),X_1)) )],[refute_0_473,refute_0_475]) ).
cnf(refute_0_477,plain,
join(meet(X_1,meet(meet(join(X_1,X_9),join(X_10,X_1)),join(meet(join(X_1,X_9),join(X_10,X_1)),X_1))),meet(X_1,meet(join(X_1,X_9),join(X_10,X_1)))) = X_1,
inference(resolve,[$cnf( $equal(join(meet(X_1,meet(meet(join(X_1,X_9),join(X_10,X_1)),join(meet(join(X_1,X_9),join(X_10,X_1)),X_1))),meet(meet(meet(join(X_1,X_9),join(X_10,X_1)),X_1),meet(join(X_1,X_9),join(X_10,X_1)))),meet(meet(join(X_1,X_9),join(X_10,X_1)),X_1)) )],[refute_0_463,refute_0_476]) ).
cnf(refute_0_478,plain,
join(meet(X_1,meet(join(X_1,X_9),join(X_10,X_1))),meet(X_1,meet(join(X_1,X_9),join(X_10,X_1)))) = meet(X_1,meet(join(X_1,X_9),join(X_10,X_1))),
inference(subst,[],[refute_0_152:[bind(X_11,$fot(meet(X_1,meet(join(X_1,X_9),join(X_10,X_1)))))]]) ).
cnf(refute_0_479,plain,
join(meet(meet(join(Y,X_9),join(X_10,Y)),Y),meet(meet(join(Y,X_9),join(X_10,Y)),join(meet(join(Y,X_9),join(X_10,Y)),Y))) = meet(join(Y,X_9),join(X_10,Y)),
inference(subst,[],[wal_absorbtion_1:[bind(X,$fot(meet(join(Y,X_9),join(X_10,Y))))]]) ).
cnf(refute_0_480,plain,
meet(meet(join(Y,X_9),join(X_10,Y)),Y) = Y,
inference(subst,[],[wal_absorbtion_4:[bind(X,$fot(Y)),bind(Y,$fot(X_9)),bind(Z,$fot(X_10))]]) ).
cnf(refute_0_481,plain,
( join(meet(meet(join(Y,X_9),join(X_10,Y)),Y),meet(meet(join(Y,X_9),join(X_10,Y)),join(meet(join(Y,X_9),join(X_10,Y)),Y))) != meet(join(Y,X_9),join(X_10,Y))
| meet(meet(join(Y,X_9),join(X_10,Y)),Y) != Y
| join(Y,meet(meet(join(Y,X_9),join(X_10,Y)),join(meet(join(Y,X_9),join(X_10,Y)),Y))) = meet(join(Y,X_9),join(X_10,Y)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(join(Y,X_9),join(X_10,Y)),Y),meet(meet(join(Y,X_9),join(X_10,Y)),join(meet(join(Y,X_9),join(X_10,Y)),Y))),meet(join(Y,X_9),join(X_10,Y))) ),[0,0],$fot(Y)]]) ).
cnf(refute_0_482,plain,
( join(meet(meet(join(Y,X_9),join(X_10,Y)),Y),meet(meet(join(Y,X_9),join(X_10,Y)),join(meet(join(Y,X_9),join(X_10,Y)),Y))) != meet(join(Y,X_9),join(X_10,Y))
| join(Y,meet(meet(join(Y,X_9),join(X_10,Y)),join(meet(join(Y,X_9),join(X_10,Y)),Y))) = meet(join(Y,X_9),join(X_10,Y)) ),
inference(resolve,[$cnf( $equal(meet(meet(join(Y,X_9),join(X_10,Y)),Y),Y) )],[refute_0_480,refute_0_481]) ).
cnf(refute_0_483,plain,
join(Y,meet(meet(join(Y,X_9),join(X_10,Y)),join(meet(join(Y,X_9),join(X_10,Y)),Y))) = meet(join(Y,X_9),join(X_10,Y)),
inference(resolve,[$cnf( $equal(join(meet(meet(join(Y,X_9),join(X_10,Y)),Y),meet(meet(join(Y,X_9),join(X_10,Y)),join(meet(join(Y,X_9),join(X_10,Y)),Y))),meet(join(Y,X_9),join(X_10,Y))) )],[refute_0_479,refute_0_482]) ).
cnf(refute_0_484,plain,
meet(meet(join(X_90,Y),join(Z,X_90)),join(X_44,X_90)) = join(meet(meet(meet(join(X_90,Y),join(Z,X_90)),join(X_44,X_90)),X_90),meet(meet(join(X_90,Y),join(Z,X_90)),join(X_44,X_90))),
inference(subst,[],[refute_0_409:[bind(Y,$fot(meet(meet(join(X_90,Y),join(Z,X_90)),join(X_44,X_90)))),bind(X_18,$fot(X_90))]]) ).
cnf(refute_0_485,plain,
meet(meet(join(meet(X,Y),meet(X,join(X,Y))),join(X_10,meet(X,Y))),meet(X,Y)) = meet(X,Y),
inference(subst,[],[wal_absorbtion_4:[bind(X,$fot(meet(X,Y))),bind(Y,$fot(meet(X,join(X,Y)))),bind(Z,$fot(X_10))]]) ).
cnf(refute_0_486,plain,
( join(meet(X,Y),meet(X,join(X,Y))) != X
| meet(meet(join(meet(X,Y),meet(X,join(X,Y))),join(X_10,meet(X,Y))),meet(X,Y)) != meet(X,Y)
| meet(meet(X,join(X_10,meet(X,Y))),meet(X,Y)) = meet(X,Y) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(join(meet(X,Y),meet(X,join(X,Y))),join(X_10,meet(X,Y))),meet(X,Y)),meet(X,Y)) ),[0,0,0],$fot(X)]]) ).
cnf(refute_0_487,plain,
( meet(meet(join(meet(X,Y),meet(X,join(X,Y))),join(X_10,meet(X,Y))),meet(X,Y)) != meet(X,Y)
| meet(meet(X,join(X_10,meet(X,Y))),meet(X,Y)) = meet(X,Y) ),
inference(resolve,[$cnf( $equal(join(meet(X,Y),meet(X,join(X,Y))),X) )],[wal_absorbtion_1,refute_0_486]) ).
cnf(refute_0_488,plain,
meet(meet(X,join(X_10,meet(X,Y))),meet(X,Y)) = meet(X,Y),
inference(resolve,[$cnf( $equal(meet(meet(join(meet(X,Y),meet(X,join(X,Y))),join(X_10,meet(X,Y))),meet(X,Y)),meet(X,Y)) )],[refute_0_485,refute_0_487]) ).
cnf(refute_0_489,plain,
meet(meet(meet(join(X_43,Y),join(Z,X_43)),join(X_44,meet(meet(join(X_43,Y),join(Z,X_43)),X_43))),meet(meet(join(X_43,Y),join(Z,X_43)),X_43)) = meet(meet(join(X_43,Y),join(Z,X_43)),X_43),
inference(subst,[],[refute_0_488:[bind(X,$fot(meet(join(X_43,Y),join(Z,X_43)))),bind(Y,$fot(X_43)),bind(X_10,$fot(X_44))]]) ).
cnf(refute_0_490,plain,
meet(meet(join(X_43,Y),join(Z,X_43)),X_43) = X_43,
inference(subst,[],[wal_absorbtion_4:[bind(X,$fot(X_43))]]) ).
cnf(refute_0_491,plain,
( meet(meet(join(X_43,Y),join(Z,X_43)),X_43) != X_43
| meet(meet(meet(join(X_43,Y),join(Z,X_43)),join(X_44,meet(meet(join(X_43,Y),join(Z,X_43)),X_43))),meet(meet(join(X_43,Y),join(Z,X_43)),X_43)) != meet(meet(join(X_43,Y),join(Z,X_43)),X_43)
| meet(meet(meet(join(X_43,Y),join(Z,X_43)),join(X_44,meet(meet(join(X_43,Y),join(Z,X_43)),X_43))),X_43) = meet(meet(join(X_43,Y),join(Z,X_43)),X_43) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(meet(join(X_43,Y),join(Z,X_43)),join(X_44,meet(meet(join(X_43,Y),join(Z,X_43)),X_43))),meet(meet(join(X_43,Y),join(Z,X_43)),X_43)),meet(meet(join(X_43,Y),join(Z,X_43)),X_43)) ),[0,1],$fot(X_43)]]) ).
cnf(refute_0_492,plain,
( meet(meet(meet(join(X_43,Y),join(Z,X_43)),join(X_44,meet(meet(join(X_43,Y),join(Z,X_43)),X_43))),meet(meet(join(X_43,Y),join(Z,X_43)),X_43)) != meet(meet(join(X_43,Y),join(Z,X_43)),X_43)
| meet(meet(meet(join(X_43,Y),join(Z,X_43)),join(X_44,meet(meet(join(X_43,Y),join(Z,X_43)),X_43))),X_43) = meet(meet(join(X_43,Y),join(Z,X_43)),X_43) ),
inference(resolve,[$cnf( $equal(meet(meet(join(X_43,Y),join(Z,X_43)),X_43),X_43) )],[refute_0_490,refute_0_491]) ).
cnf(refute_0_493,plain,
meet(meet(meet(join(X_43,Y),join(Z,X_43)),join(X_44,meet(meet(join(X_43,Y),join(Z,X_43)),X_43))),X_43) = meet(meet(join(X_43,Y),join(Z,X_43)),X_43),
inference(resolve,[$cnf( $equal(meet(meet(meet(join(X_43,Y),join(Z,X_43)),join(X_44,meet(meet(join(X_43,Y),join(Z,X_43)),X_43))),meet(meet(join(X_43,Y),join(Z,X_43)),X_43)),meet(meet(join(X_43,Y),join(Z,X_43)),X_43)) )],[refute_0_489,refute_0_492]) ).
cnf(refute_0_494,plain,
join(X_44,meet(meet(join(X_43,Y),join(Z,X_43)),X_43)) = join(X_44,meet(meet(join(X_43,Y),join(Z,X_43)),X_43)),
introduced(tautology,[refl,[$fot(join(X_44,meet(meet(join(X_43,Y),join(Z,X_43)),X_43)))]]) ).
cnf(refute_0_495,plain,
( join(X_44,meet(meet(join(X_43,Y),join(Z,X_43)),X_43)) != join(X_44,meet(meet(join(X_43,Y),join(Z,X_43)),X_43))
| meet(meet(join(X_43,Y),join(Z,X_43)),X_43) != X_43
| join(X_44,meet(meet(join(X_43,Y),join(Z,X_43)),X_43)) = join(X_44,X_43) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_44,meet(meet(join(X_43,Y),join(Z,X_43)),X_43)),join(X_44,meet(meet(join(X_43,Y),join(Z,X_43)),X_43))) ),[1,1],$fot(X_43)]]) ).
cnf(refute_0_496,plain,
( meet(meet(join(X_43,Y),join(Z,X_43)),X_43) != X_43
| join(X_44,meet(meet(join(X_43,Y),join(Z,X_43)),X_43)) = join(X_44,X_43) ),
inference(resolve,[$cnf( $equal(join(X_44,meet(meet(join(X_43,Y),join(Z,X_43)),X_43)),join(X_44,meet(meet(join(X_43,Y),join(Z,X_43)),X_43))) )],[refute_0_494,refute_0_495]) ).
cnf(refute_0_497,plain,
join(X_44,meet(meet(join(X_43,Y),join(Z,X_43)),X_43)) = join(X_44,X_43),
inference(resolve,[$cnf( $equal(meet(meet(join(X_43,Y),join(Z,X_43)),X_43),X_43) )],[refute_0_490,refute_0_496]) ).
cnf(refute_0_498,plain,
meet(meet(join(X_43,Y),join(Z,X_43)),join(X_44,meet(meet(join(X_43,Y),join(Z,X_43)),X_43))) = meet(meet(join(X_43,Y),join(Z,X_43)),join(X_44,meet(meet(join(X_43,Y),join(Z,X_43)),X_43))),
introduced(tautology,[refl,[$fot(meet(meet(join(X_43,Y),join(Z,X_43)),join(X_44,meet(meet(join(X_43,Y),join(Z,X_43)),X_43))))]]) ).
cnf(refute_0_499,plain,
( join(X_44,meet(meet(join(X_43,Y),join(Z,X_43)),X_43)) != join(X_44,X_43)
| meet(meet(join(X_43,Y),join(Z,X_43)),join(X_44,meet(meet(join(X_43,Y),join(Z,X_43)),X_43))) != meet(meet(join(X_43,Y),join(Z,X_43)),join(X_44,meet(meet(join(X_43,Y),join(Z,X_43)),X_43)))
| meet(meet(join(X_43,Y),join(Z,X_43)),join(X_44,meet(meet(join(X_43,Y),join(Z,X_43)),X_43))) = meet(meet(join(X_43,Y),join(Z,X_43)),join(X_44,X_43)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(join(X_43,Y),join(Z,X_43)),join(X_44,meet(meet(join(X_43,Y),join(Z,X_43)),X_43))),meet(meet(join(X_43,Y),join(Z,X_43)),join(X_44,meet(meet(join(X_43,Y),join(Z,X_43)),X_43)))) ),[1,1],$fot(join(X_44,X_43))]]) ).
cnf(refute_0_500,plain,
( join(X_44,meet(meet(join(X_43,Y),join(Z,X_43)),X_43)) != join(X_44,X_43)
| meet(meet(join(X_43,Y),join(Z,X_43)),join(X_44,meet(meet(join(X_43,Y),join(Z,X_43)),X_43))) = meet(meet(join(X_43,Y),join(Z,X_43)),join(X_44,X_43)) ),
inference(resolve,[$cnf( $equal(meet(meet(join(X_43,Y),join(Z,X_43)),join(X_44,meet(meet(join(X_43,Y),join(Z,X_43)),X_43))),meet(meet(join(X_43,Y),join(Z,X_43)),join(X_44,meet(meet(join(X_43,Y),join(Z,X_43)),X_43)))) )],[refute_0_498,refute_0_499]) ).
cnf(refute_0_501,plain,
meet(meet(join(X_43,Y),join(Z,X_43)),join(X_44,meet(meet(join(X_43,Y),join(Z,X_43)),X_43))) = meet(meet(join(X_43,Y),join(Z,X_43)),join(X_44,X_43)),
inference(resolve,[$cnf( $equal(join(X_44,meet(meet(join(X_43,Y),join(Z,X_43)),X_43)),join(X_44,X_43)) )],[refute_0_497,refute_0_500]) ).
cnf(refute_0_502,plain,
meet(meet(meet(join(X_43,Y),join(Z,X_43)),join(X_44,meet(meet(join(X_43,Y),join(Z,X_43)),X_43))),X_43) = meet(meet(meet(join(X_43,Y),join(Z,X_43)),join(X_44,meet(meet(join(X_43,Y),join(Z,X_43)),X_43))),X_43),
introduced(tautology,[refl,[$fot(meet(meet(meet(join(X_43,Y),join(Z,X_43)),join(X_44,meet(meet(join(X_43,Y),join(Z,X_43)),X_43))),X_43))]]) ).
cnf(refute_0_503,plain,
( meet(meet(join(X_43,Y),join(Z,X_43)),join(X_44,meet(meet(join(X_43,Y),join(Z,X_43)),X_43))) != meet(meet(join(X_43,Y),join(Z,X_43)),join(X_44,X_43))
| meet(meet(meet(join(X_43,Y),join(Z,X_43)),join(X_44,meet(meet(join(X_43,Y),join(Z,X_43)),X_43))),X_43) != meet(meet(meet(join(X_43,Y),join(Z,X_43)),join(X_44,meet(meet(join(X_43,Y),join(Z,X_43)),X_43))),X_43)
| meet(meet(meet(join(X_43,Y),join(Z,X_43)),join(X_44,meet(meet(join(X_43,Y),join(Z,X_43)),X_43))),X_43) = meet(meet(meet(join(X_43,Y),join(Z,X_43)),join(X_44,X_43)),X_43) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(meet(join(X_43,Y),join(Z,X_43)),join(X_44,meet(meet(join(X_43,Y),join(Z,X_43)),X_43))),X_43),meet(meet(meet(join(X_43,Y),join(Z,X_43)),join(X_44,meet(meet(join(X_43,Y),join(Z,X_43)),X_43))),X_43)) ),[1,0],$fot(meet(meet(join(X_43,Y),join(Z,X_43)),join(X_44,X_43)))]]) ).
cnf(refute_0_504,plain,
( meet(meet(join(X_43,Y),join(Z,X_43)),join(X_44,meet(meet(join(X_43,Y),join(Z,X_43)),X_43))) != meet(meet(join(X_43,Y),join(Z,X_43)),join(X_44,X_43))
| meet(meet(meet(join(X_43,Y),join(Z,X_43)),join(X_44,meet(meet(join(X_43,Y),join(Z,X_43)),X_43))),X_43) = meet(meet(meet(join(X_43,Y),join(Z,X_43)),join(X_44,X_43)),X_43) ),
inference(resolve,[$cnf( $equal(meet(meet(meet(join(X_43,Y),join(Z,X_43)),join(X_44,meet(meet(join(X_43,Y),join(Z,X_43)),X_43))),X_43),meet(meet(meet(join(X_43,Y),join(Z,X_43)),join(X_44,meet(meet(join(X_43,Y),join(Z,X_43)),X_43))),X_43)) )],[refute_0_502,refute_0_503]) ).
cnf(refute_0_505,plain,
meet(meet(meet(join(X_43,Y),join(Z,X_43)),join(X_44,meet(meet(join(X_43,Y),join(Z,X_43)),X_43))),X_43) = meet(meet(meet(join(X_43,Y),join(Z,X_43)),join(X_44,X_43)),X_43),
inference(resolve,[$cnf( $equal(meet(meet(join(X_43,Y),join(Z,X_43)),join(X_44,meet(meet(join(X_43,Y),join(Z,X_43)),X_43))),meet(meet(join(X_43,Y),join(Z,X_43)),join(X_44,X_43))) )],[refute_0_501,refute_0_504]) ).
cnf(refute_0_506,plain,
( meet(meet(meet(join(X_43,Y),join(Z,X_43)),join(X_44,meet(meet(join(X_43,Y),join(Z,X_43)),X_43))),X_43) != meet(meet(join(X_43,Y),join(Z,X_43)),X_43)
| meet(meet(meet(join(X_43,Y),join(Z,X_43)),join(X_44,meet(meet(join(X_43,Y),join(Z,X_43)),X_43))),X_43) != meet(meet(meet(join(X_43,Y),join(Z,X_43)),join(X_44,X_43)),X_43)
| meet(meet(meet(join(X_43,Y),join(Z,X_43)),join(X_44,X_43)),X_43) = meet(meet(join(X_43,Y),join(Z,X_43)),X_43) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(meet(join(X_43,Y),join(Z,X_43)),join(X_44,meet(meet(join(X_43,Y),join(Z,X_43)),X_43))),X_43),meet(meet(join(X_43,Y),join(Z,X_43)),X_43)) ),[0],$fot(meet(meet(meet(join(X_43,Y),join(Z,X_43)),join(X_44,X_43)),X_43))]]) ).
cnf(refute_0_507,plain,
( meet(meet(meet(join(X_43,Y),join(Z,X_43)),join(X_44,meet(meet(join(X_43,Y),join(Z,X_43)),X_43))),X_43) != meet(meet(join(X_43,Y),join(Z,X_43)),X_43)
| meet(meet(meet(join(X_43,Y),join(Z,X_43)),join(X_44,X_43)),X_43) = meet(meet(join(X_43,Y),join(Z,X_43)),X_43) ),
inference(resolve,[$cnf( $equal(meet(meet(meet(join(X_43,Y),join(Z,X_43)),join(X_44,meet(meet(join(X_43,Y),join(Z,X_43)),X_43))),X_43),meet(meet(meet(join(X_43,Y),join(Z,X_43)),join(X_44,X_43)),X_43)) )],[refute_0_505,refute_0_506]) ).
cnf(refute_0_508,plain,
( meet(meet(join(X_43,Y),join(Z,X_43)),X_43) != X_43
| meet(meet(meet(join(X_43,Y),join(Z,X_43)),join(X_44,X_43)),X_43) != meet(meet(join(X_43,Y),join(Z,X_43)),X_43)
| meet(meet(meet(join(X_43,Y),join(Z,X_43)),join(X_44,X_43)),X_43) = X_43 ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(meet(join(X_43,Y),join(Z,X_43)),join(X_44,X_43)),X_43),meet(meet(join(X_43,Y),join(Z,X_43)),X_43)) ),[1],$fot(X_43)]]) ).
cnf(refute_0_509,plain,
( meet(meet(meet(join(X_43,Y),join(Z,X_43)),join(X_44,X_43)),X_43) != meet(meet(join(X_43,Y),join(Z,X_43)),X_43)
| meet(meet(meet(join(X_43,Y),join(Z,X_43)),join(X_44,X_43)),X_43) = X_43 ),
inference(resolve,[$cnf( $equal(meet(meet(join(X_43,Y),join(Z,X_43)),X_43),X_43) )],[refute_0_490,refute_0_508]) ).
cnf(refute_0_510,plain,
( meet(meet(meet(join(X_43,Y),join(Z,X_43)),join(X_44,meet(meet(join(X_43,Y),join(Z,X_43)),X_43))),X_43) != meet(meet(join(X_43,Y),join(Z,X_43)),X_43)
| meet(meet(meet(join(X_43,Y),join(Z,X_43)),join(X_44,X_43)),X_43) = X_43 ),
inference(resolve,[$cnf( $equal(meet(meet(meet(join(X_43,Y),join(Z,X_43)),join(X_44,X_43)),X_43),meet(meet(join(X_43,Y),join(Z,X_43)),X_43)) )],[refute_0_507,refute_0_509]) ).
cnf(refute_0_511,plain,
meet(meet(meet(join(X_43,Y),join(Z,X_43)),join(X_44,X_43)),X_43) = X_43,
inference(resolve,[$cnf( $equal(meet(meet(meet(join(X_43,Y),join(Z,X_43)),join(X_44,meet(meet(join(X_43,Y),join(Z,X_43)),X_43))),X_43),meet(meet(join(X_43,Y),join(Z,X_43)),X_43)) )],[refute_0_493,refute_0_510]) ).
cnf(refute_0_512,plain,
meet(meet(meet(join(X_90,Y),join(Z,X_90)),join(X_44,X_90)),X_90) = X_90,
inference(subst,[],[refute_0_511:[bind(X_43,$fot(X_90))]]) ).
cnf(refute_0_513,plain,
( meet(meet(join(X_90,Y),join(Z,X_90)),join(X_44,X_90)) != join(meet(meet(meet(join(X_90,Y),join(Z,X_90)),join(X_44,X_90)),X_90),meet(meet(join(X_90,Y),join(Z,X_90)),join(X_44,X_90)))
| meet(meet(meet(join(X_90,Y),join(Z,X_90)),join(X_44,X_90)),X_90) != X_90
| meet(meet(join(X_90,Y),join(Z,X_90)),join(X_44,X_90)) = join(X_90,meet(meet(join(X_90,Y),join(Z,X_90)),join(X_44,X_90))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(join(X_90,Y),join(Z,X_90)),join(X_44,X_90)),join(meet(meet(meet(join(X_90,Y),join(Z,X_90)),join(X_44,X_90)),X_90),meet(meet(join(X_90,Y),join(Z,X_90)),join(X_44,X_90)))) ),[1,0],$fot(X_90)]]) ).
cnf(refute_0_514,plain,
( meet(meet(join(X_90,Y),join(Z,X_90)),join(X_44,X_90)) != join(meet(meet(meet(join(X_90,Y),join(Z,X_90)),join(X_44,X_90)),X_90),meet(meet(join(X_90,Y),join(Z,X_90)),join(X_44,X_90)))
| meet(meet(join(X_90,Y),join(Z,X_90)),join(X_44,X_90)) = join(X_90,meet(meet(join(X_90,Y),join(Z,X_90)),join(X_44,X_90))) ),
inference(resolve,[$cnf( $equal(meet(meet(meet(join(X_90,Y),join(Z,X_90)),join(X_44,X_90)),X_90),X_90) )],[refute_0_512,refute_0_513]) ).
cnf(refute_0_515,plain,
meet(meet(join(X_90,Y),join(Z,X_90)),join(X_44,X_90)) = join(X_90,meet(meet(join(X_90,Y),join(Z,X_90)),join(X_44,X_90))),
inference(resolve,[$cnf( $equal(meet(meet(join(X_90,Y),join(Z,X_90)),join(X_44,X_90)),join(meet(meet(meet(join(X_90,Y),join(Z,X_90)),join(X_44,X_90)),X_90),meet(meet(join(X_90,Y),join(Z,X_90)),join(X_44,X_90)))) )],[refute_0_484,refute_0_514]) ).
cnf(refute_0_516,plain,
( meet(meet(join(X_90,Y),join(Z,X_90)),join(X_44,X_90)) != join(X_90,meet(meet(join(X_90,Y),join(Z,X_90)),join(X_44,X_90)))
| join(X_90,meet(meet(join(X_90,Y),join(Z,X_90)),join(X_44,X_90))) = meet(meet(join(X_90,Y),join(Z,X_90)),join(X_44,X_90)) ),
inference(subst,[],[refute_0_20:[bind(X0,$fot(meet(meet(join(X_90,Y),join(Z,X_90)),join(X_44,X_90)))),bind(Y0,$fot(join(X_90,meet(meet(join(X_90,Y),join(Z,X_90)),join(X_44,X_90)))))]]) ).
cnf(refute_0_517,plain,
join(X_90,meet(meet(join(X_90,Y),join(Z,X_90)),join(X_44,X_90))) = meet(meet(join(X_90,Y),join(Z,X_90)),join(X_44,X_90)),
inference(resolve,[$cnf( $equal(meet(meet(join(X_90,Y),join(Z,X_90)),join(X_44,X_90)),join(X_90,meet(meet(join(X_90,Y),join(Z,X_90)),join(X_44,X_90)))) )],[refute_0_515,refute_0_516]) ).
cnf(refute_0_518,plain,
join(Y,meet(meet(join(Y,X_9),join(X_10,Y)),join(meet(join(Y,X_9),join(X_10,Y)),Y))) = meet(meet(join(Y,X_9),join(X_10,Y)),join(meet(join(Y,X_9),join(X_10,Y)),Y)),
inference(subst,[],[refute_0_517:[bind(Y,$fot(X_9)),bind(Z,$fot(X_10)),bind(X_44,$fot(meet(join(Y,X_9),join(X_10,Y)))),bind(X_90,$fot(Y))]]) ).
cnf(refute_0_519,plain,
( join(Y,meet(meet(join(Y,X_9),join(X_10,Y)),join(meet(join(Y,X_9),join(X_10,Y)),Y))) != meet(join(Y,X_9),join(X_10,Y))
| join(Y,meet(meet(join(Y,X_9),join(X_10,Y)),join(meet(join(Y,X_9),join(X_10,Y)),Y))) != meet(meet(join(Y,X_9),join(X_10,Y)),join(meet(join(Y,X_9),join(X_10,Y)),Y))
| meet(meet(join(Y,X_9),join(X_10,Y)),join(meet(join(Y,X_9),join(X_10,Y)),Y)) = meet(join(Y,X_9),join(X_10,Y)) ),
introduced(tautology,[equality,[$cnf( $equal(join(Y,meet(meet(join(Y,X_9),join(X_10,Y)),join(meet(join(Y,X_9),join(X_10,Y)),Y))),meet(join(Y,X_9),join(X_10,Y))) ),[0],$fot(meet(meet(join(Y,X_9),join(X_10,Y)),join(meet(join(Y,X_9),join(X_10,Y)),Y)))]]) ).
cnf(refute_0_520,plain,
( join(Y,meet(meet(join(Y,X_9),join(X_10,Y)),join(meet(join(Y,X_9),join(X_10,Y)),Y))) != meet(join(Y,X_9),join(X_10,Y))
| meet(meet(join(Y,X_9),join(X_10,Y)),join(meet(join(Y,X_9),join(X_10,Y)),Y)) = meet(join(Y,X_9),join(X_10,Y)) ),
inference(resolve,[$cnf( $equal(join(Y,meet(meet(join(Y,X_9),join(X_10,Y)),join(meet(join(Y,X_9),join(X_10,Y)),Y))),meet(meet(join(Y,X_9),join(X_10,Y)),join(meet(join(Y,X_9),join(X_10,Y)),Y))) )],[refute_0_518,refute_0_519]) ).
cnf(refute_0_521,plain,
meet(meet(join(Y,X_9),join(X_10,Y)),join(meet(join(Y,X_9),join(X_10,Y)),Y)) = meet(join(Y,X_9),join(X_10,Y)),
inference(resolve,[$cnf( $equal(join(Y,meet(meet(join(Y,X_9),join(X_10,Y)),join(meet(join(Y,X_9),join(X_10,Y)),Y))),meet(join(Y,X_9),join(X_10,Y))) )],[refute_0_483,refute_0_520]) ).
cnf(refute_0_522,plain,
meet(meet(join(X_1,X_9),join(X_10,X_1)),join(meet(join(X_1,X_9),join(X_10,X_1)),X_1)) = meet(join(X_1,X_9),join(X_10,X_1)),
inference(subst,[],[refute_0_521:[bind(Y,$fot(X_1))]]) ).
cnf(refute_0_523,plain,
meet(X_1,meet(meet(join(X_1,X_9),join(X_10,X_1)),join(meet(join(X_1,X_9),join(X_10,X_1)),X_1))) = meet(X_1,meet(meet(join(X_1,X_9),join(X_10,X_1)),join(meet(join(X_1,X_9),join(X_10,X_1)),X_1))),
introduced(tautology,[refl,[$fot(meet(X_1,meet(meet(join(X_1,X_9),join(X_10,X_1)),join(meet(join(X_1,X_9),join(X_10,X_1)),X_1))))]]) ).
cnf(refute_0_524,plain,
( meet(X_1,meet(meet(join(X_1,X_9),join(X_10,X_1)),join(meet(join(X_1,X_9),join(X_10,X_1)),X_1))) != meet(X_1,meet(meet(join(X_1,X_9),join(X_10,X_1)),join(meet(join(X_1,X_9),join(X_10,X_1)),X_1)))
| meet(meet(join(X_1,X_9),join(X_10,X_1)),join(meet(join(X_1,X_9),join(X_10,X_1)),X_1)) != meet(join(X_1,X_9),join(X_10,X_1))
| meet(X_1,meet(meet(join(X_1,X_9),join(X_10,X_1)),join(meet(join(X_1,X_9),join(X_10,X_1)),X_1))) = meet(X_1,meet(join(X_1,X_9),join(X_10,X_1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_1,meet(meet(join(X_1,X_9),join(X_10,X_1)),join(meet(join(X_1,X_9),join(X_10,X_1)),X_1))),meet(X_1,meet(meet(join(X_1,X_9),join(X_10,X_1)),join(meet(join(X_1,X_9),join(X_10,X_1)),X_1)))) ),[1,1],$fot(meet(join(X_1,X_9),join(X_10,X_1)))]]) ).
cnf(refute_0_525,plain,
( meet(meet(join(X_1,X_9),join(X_10,X_1)),join(meet(join(X_1,X_9),join(X_10,X_1)),X_1)) != meet(join(X_1,X_9),join(X_10,X_1))
| meet(X_1,meet(meet(join(X_1,X_9),join(X_10,X_1)),join(meet(join(X_1,X_9),join(X_10,X_1)),X_1))) = meet(X_1,meet(join(X_1,X_9),join(X_10,X_1))) ),
inference(resolve,[$cnf( $equal(meet(X_1,meet(meet(join(X_1,X_9),join(X_10,X_1)),join(meet(join(X_1,X_9),join(X_10,X_1)),X_1))),meet(X_1,meet(meet(join(X_1,X_9),join(X_10,X_1)),join(meet(join(X_1,X_9),join(X_10,X_1)),X_1)))) )],[refute_0_523,refute_0_524]) ).
cnf(refute_0_526,plain,
meet(X_1,meet(meet(join(X_1,X_9),join(X_10,X_1)),join(meet(join(X_1,X_9),join(X_10,X_1)),X_1))) = meet(X_1,meet(join(X_1,X_9),join(X_10,X_1))),
inference(resolve,[$cnf( $equal(meet(meet(join(X_1,X_9),join(X_10,X_1)),join(meet(join(X_1,X_9),join(X_10,X_1)),X_1)),meet(join(X_1,X_9),join(X_10,X_1))) )],[refute_0_522,refute_0_525]) ).
cnf(refute_0_527,plain,
join(meet(X_1,meet(meet(join(X_1,X_9),join(X_10,X_1)),join(meet(join(X_1,X_9),join(X_10,X_1)),X_1))),meet(X_1,meet(join(X_1,X_9),join(X_10,X_1)))) = join(meet(X_1,meet(meet(join(X_1,X_9),join(X_10,X_1)),join(meet(join(X_1,X_9),join(X_10,X_1)),X_1))),meet(X_1,meet(join(X_1,X_9),join(X_10,X_1)))),
introduced(tautology,[refl,[$fot(join(meet(X_1,meet(meet(join(X_1,X_9),join(X_10,X_1)),join(meet(join(X_1,X_9),join(X_10,X_1)),X_1))),meet(X_1,meet(join(X_1,X_9),join(X_10,X_1)))))]]) ).
cnf(refute_0_528,plain,
( join(meet(X_1,meet(meet(join(X_1,X_9),join(X_10,X_1)),join(meet(join(X_1,X_9),join(X_10,X_1)),X_1))),meet(X_1,meet(join(X_1,X_9),join(X_10,X_1)))) != join(meet(X_1,meet(meet(join(X_1,X_9),join(X_10,X_1)),join(meet(join(X_1,X_9),join(X_10,X_1)),X_1))),meet(X_1,meet(join(X_1,X_9),join(X_10,X_1))))
| meet(X_1,meet(meet(join(X_1,X_9),join(X_10,X_1)),join(meet(join(X_1,X_9),join(X_10,X_1)),X_1))) != meet(X_1,meet(join(X_1,X_9),join(X_10,X_1)))
| join(meet(X_1,meet(meet(join(X_1,X_9),join(X_10,X_1)),join(meet(join(X_1,X_9),join(X_10,X_1)),X_1))),meet(X_1,meet(join(X_1,X_9),join(X_10,X_1)))) = join(meet(X_1,meet(join(X_1,X_9),join(X_10,X_1))),meet(X_1,meet(join(X_1,X_9),join(X_10,X_1)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_1,meet(meet(join(X_1,X_9),join(X_10,X_1)),join(meet(join(X_1,X_9),join(X_10,X_1)),X_1))),meet(X_1,meet(join(X_1,X_9),join(X_10,X_1)))),join(meet(X_1,meet(meet(join(X_1,X_9),join(X_10,X_1)),join(meet(join(X_1,X_9),join(X_10,X_1)),X_1))),meet(X_1,meet(join(X_1,X_9),join(X_10,X_1))))) ),[1,0],$fot(meet(X_1,meet(join(X_1,X_9),join(X_10,X_1))))]]) ).
cnf(refute_0_529,plain,
( meet(X_1,meet(meet(join(X_1,X_9),join(X_10,X_1)),join(meet(join(X_1,X_9),join(X_10,X_1)),X_1))) != meet(X_1,meet(join(X_1,X_9),join(X_10,X_1)))
| join(meet(X_1,meet(meet(join(X_1,X_9),join(X_10,X_1)),join(meet(join(X_1,X_9),join(X_10,X_1)),X_1))),meet(X_1,meet(join(X_1,X_9),join(X_10,X_1)))) = join(meet(X_1,meet(join(X_1,X_9),join(X_10,X_1))),meet(X_1,meet(join(X_1,X_9),join(X_10,X_1)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_1,meet(meet(join(X_1,X_9),join(X_10,X_1)),join(meet(join(X_1,X_9),join(X_10,X_1)),X_1))),meet(X_1,meet(join(X_1,X_9),join(X_10,X_1)))),join(meet(X_1,meet(meet(join(X_1,X_9),join(X_10,X_1)),join(meet(join(X_1,X_9),join(X_10,X_1)),X_1))),meet(X_1,meet(join(X_1,X_9),join(X_10,X_1))))) )],[refute_0_527,refute_0_528]) ).
cnf(refute_0_530,plain,
join(meet(X_1,meet(meet(join(X_1,X_9),join(X_10,X_1)),join(meet(join(X_1,X_9),join(X_10,X_1)),X_1))),meet(X_1,meet(join(X_1,X_9),join(X_10,X_1)))) = join(meet(X_1,meet(join(X_1,X_9),join(X_10,X_1))),meet(X_1,meet(join(X_1,X_9),join(X_10,X_1)))),
inference(resolve,[$cnf( $equal(meet(X_1,meet(meet(join(X_1,X_9),join(X_10,X_1)),join(meet(join(X_1,X_9),join(X_10,X_1)),X_1))),meet(X_1,meet(join(X_1,X_9),join(X_10,X_1)))) )],[refute_0_526,refute_0_529]) ).
cnf(refute_0_531,plain,
( join(meet(X_1,meet(join(X_1,X_9),join(X_10,X_1))),meet(X_1,meet(join(X_1,X_9),join(X_10,X_1)))) != meet(X_1,meet(join(X_1,X_9),join(X_10,X_1)))
| join(meet(X_1,meet(meet(join(X_1,X_9),join(X_10,X_1)),join(meet(join(X_1,X_9),join(X_10,X_1)),X_1))),meet(X_1,meet(join(X_1,X_9),join(X_10,X_1)))) != join(meet(X_1,meet(join(X_1,X_9),join(X_10,X_1))),meet(X_1,meet(join(X_1,X_9),join(X_10,X_1))))
| join(meet(X_1,meet(meet(join(X_1,X_9),join(X_10,X_1)),join(meet(join(X_1,X_9),join(X_10,X_1)),X_1))),meet(X_1,meet(join(X_1,X_9),join(X_10,X_1)))) = meet(X_1,meet(join(X_1,X_9),join(X_10,X_1))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(join(meet(X_1,meet(meet(join(X_1,X_9),join(X_10,X_1)),join(meet(join(X_1,X_9),join(X_10,X_1)),X_1))),meet(X_1,meet(join(X_1,X_9),join(X_10,X_1)))))),bind(Y0,$fot(join(meet(X_1,meet(join(X_1,X_9),join(X_10,X_1))),meet(X_1,meet(join(X_1,X_9),join(X_10,X_1)))))),bind(Z0,$fot(meet(X_1,meet(join(X_1,X_9),join(X_10,X_1)))))]]) ).
cnf(refute_0_532,plain,
( join(meet(X_1,meet(join(X_1,X_9),join(X_10,X_1))),meet(X_1,meet(join(X_1,X_9),join(X_10,X_1)))) != meet(X_1,meet(join(X_1,X_9),join(X_10,X_1)))
| join(meet(X_1,meet(meet(join(X_1,X_9),join(X_10,X_1)),join(meet(join(X_1,X_9),join(X_10,X_1)),X_1))),meet(X_1,meet(join(X_1,X_9),join(X_10,X_1)))) = meet(X_1,meet(join(X_1,X_9),join(X_10,X_1))) ),
inference(resolve,[$cnf( $equal(join(meet(X_1,meet(meet(join(X_1,X_9),join(X_10,X_1)),join(meet(join(X_1,X_9),join(X_10,X_1)),X_1))),meet(X_1,meet(join(X_1,X_9),join(X_10,X_1)))),join(meet(X_1,meet(join(X_1,X_9),join(X_10,X_1))),meet(X_1,meet(join(X_1,X_9),join(X_10,X_1))))) )],[refute_0_530,refute_0_531]) ).
cnf(refute_0_533,plain,
join(meet(X_1,meet(meet(join(X_1,X_9),join(X_10,X_1)),join(meet(join(X_1,X_9),join(X_10,X_1)),X_1))),meet(X_1,meet(join(X_1,X_9),join(X_10,X_1)))) = meet(X_1,meet(join(X_1,X_9),join(X_10,X_1))),
inference(resolve,[$cnf( $equal(join(meet(X_1,meet(join(X_1,X_9),join(X_10,X_1))),meet(X_1,meet(join(X_1,X_9),join(X_10,X_1)))),meet(X_1,meet(join(X_1,X_9),join(X_10,X_1)))) )],[refute_0_478,refute_0_532]) ).
cnf(refute_0_534,plain,
( join(meet(X_1,meet(meet(join(X_1,X_9),join(X_10,X_1)),join(meet(join(X_1,X_9),join(X_10,X_1)),X_1))),meet(X_1,meet(join(X_1,X_9),join(X_10,X_1)))) != X_1
| join(meet(X_1,meet(meet(join(X_1,X_9),join(X_10,X_1)),join(meet(join(X_1,X_9),join(X_10,X_1)),X_1))),meet(X_1,meet(join(X_1,X_9),join(X_10,X_1)))) != meet(X_1,meet(join(X_1,X_9),join(X_10,X_1)))
| meet(X_1,meet(join(X_1,X_9),join(X_10,X_1))) = X_1 ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_1,meet(meet(join(X_1,X_9),join(X_10,X_1)),join(meet(join(X_1,X_9),join(X_10,X_1)),X_1))),meet(X_1,meet(join(X_1,X_9),join(X_10,X_1)))),X_1) ),[0],$fot(meet(X_1,meet(join(X_1,X_9),join(X_10,X_1))))]]) ).
cnf(refute_0_535,plain,
( join(meet(X_1,meet(meet(join(X_1,X_9),join(X_10,X_1)),join(meet(join(X_1,X_9),join(X_10,X_1)),X_1))),meet(X_1,meet(join(X_1,X_9),join(X_10,X_1)))) != X_1
| meet(X_1,meet(join(X_1,X_9),join(X_10,X_1))) = X_1 ),
inference(resolve,[$cnf( $equal(join(meet(X_1,meet(meet(join(X_1,X_9),join(X_10,X_1)),join(meet(join(X_1,X_9),join(X_10,X_1)),X_1))),meet(X_1,meet(join(X_1,X_9),join(X_10,X_1)))),meet(X_1,meet(join(X_1,X_9),join(X_10,X_1)))) )],[refute_0_533,refute_0_534]) ).
cnf(refute_0_536,plain,
meet(X_1,meet(join(X_1,X_9),join(X_10,X_1))) = X_1,
inference(resolve,[$cnf( $equal(join(meet(X_1,meet(meet(join(X_1,X_9),join(X_10,X_1)),join(meet(join(X_1,X_9),join(X_10,X_1)),X_1))),meet(X_1,meet(join(X_1,X_9),join(X_10,X_1)))),X_1) )],[refute_0_477,refute_0_535]) ).
cnf(refute_0_537,plain,
meet(X_142,meet(join(X_142,X_144),join(X_143,X_142))) = X_142,
inference(subst,[],[refute_0_536:[bind(X_1,$fot(X_142)),bind(X_10,$fot(X_143)),bind(X_9,$fot(X_144))]]) ).
cnf(refute_0_538,plain,
meet(join(X_143,X_142),join(X_142,X_144)) = meet(join(X_142,X_144),join(X_143,X_142)),
inference(subst,[],[refute_0_443:[bind(X_97,$fot(join(X_142,X_144))),bind(X_98,$fot(join(X_143,X_142)))]]) ).
cnf(refute_0_539,plain,
( meet(join(X_143,X_142),join(X_142,X_144)) != meet(join(X_142,X_144),join(X_143,X_142))
| meet(join(X_142,X_144),join(X_143,X_142)) = meet(join(X_143,X_142),join(X_142,X_144)) ),
inference(subst,[],[refute_0_20:[bind(X0,$fot(meet(join(X_143,X_142),join(X_142,X_144)))),bind(Y0,$fot(meet(join(X_142,X_144),join(X_143,X_142))))]]) ).
cnf(refute_0_540,plain,
meet(join(X_142,X_144),join(X_143,X_142)) = meet(join(X_143,X_142),join(X_142,X_144)),
inference(resolve,[$cnf( $equal(meet(join(X_143,X_142),join(X_142,X_144)),meet(join(X_142,X_144),join(X_143,X_142))) )],[refute_0_538,refute_0_539]) ).
cnf(refute_0_541,plain,
( meet(X_142,meet(join(X_142,X_144),join(X_143,X_142))) != X_142
| meet(join(X_142,X_144),join(X_143,X_142)) != meet(join(X_143,X_142),join(X_142,X_144))
| meet(X_142,meet(join(X_143,X_142),join(X_142,X_144))) = X_142 ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_142,meet(join(X_142,X_144),join(X_143,X_142))),X_142) ),[0,1],$fot(meet(join(X_143,X_142),join(X_142,X_144)))]]) ).
cnf(refute_0_542,plain,
( meet(X_142,meet(join(X_142,X_144),join(X_143,X_142))) != X_142
| meet(X_142,meet(join(X_143,X_142),join(X_142,X_144))) = X_142 ),
inference(resolve,[$cnf( $equal(meet(join(X_142,X_144),join(X_143,X_142)),meet(join(X_143,X_142),join(X_142,X_144))) )],[refute_0_540,refute_0_541]) ).
cnf(refute_0_543,plain,
meet(X_142,meet(join(X_143,X_142),join(X_142,X_144))) = X_142,
inference(resolve,[$cnf( $equal(meet(X_142,meet(join(X_142,X_144),join(X_143,X_142))),X_142) )],[refute_0_537,refute_0_542]) ).
cnf(refute_0_544,plain,
meet(Z,meet(join(X_13,Z),join(Z,X_13))) = Z,
inference(subst,[],[refute_0_543:[bind(X_142,$fot(Z)),bind(X_143,$fot(X_13)),bind(X_144,$fot(X_13))]]) ).
cnf(refute_0_545,plain,
( join(join(X_13,meet(Z,meet(join(X_13,Z),join(Z,X_13)))),meet(join(X_13,Z),join(Z,X_13))) != meet(join(X_13,Z),join(Z,X_13))
| meet(Z,meet(join(X_13,Z),join(Z,X_13))) != Z
| join(join(X_13,Z),meet(join(X_13,Z),join(Z,X_13))) = meet(join(X_13,Z),join(Z,X_13)) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(X_13,meet(Z,meet(join(X_13,Z),join(Z,X_13)))),meet(join(X_13,Z),join(Z,X_13))),meet(join(X_13,Z),join(Z,X_13))) ),[0,0,1],$fot(Z)]]) ).
cnf(refute_0_546,plain,
( join(join(X_13,meet(Z,meet(join(X_13,Z),join(Z,X_13)))),meet(join(X_13,Z),join(Z,X_13))) != meet(join(X_13,Z),join(Z,X_13))
| join(join(X_13,Z),meet(join(X_13,Z),join(Z,X_13))) = meet(join(X_13,Z),join(Z,X_13)) ),
inference(resolve,[$cnf( $equal(meet(Z,meet(join(X_13,Z),join(Z,X_13))),Z) )],[refute_0_544,refute_0_545]) ).
cnf(refute_0_547,plain,
join(join(X_13,Z),meet(join(X_13,Z),join(Z,X_13))) = meet(join(X_13,Z),join(Z,X_13)),
inference(resolve,[$cnf( $equal(join(join(X_13,meet(Z,meet(join(X_13,Z),join(Z,X_13)))),meet(join(X_13,Z),join(Z,X_13))),meet(join(X_13,Z),join(Z,X_13))) )],[refute_0_458,refute_0_546]) ).
cnf(refute_0_548,plain,
join(join(X_13,Z),meet(join(X_13,Z),join(Z,X_13))) = join(X_13,Z),
inference(subst,[],[refute_0_423:[bind(X,$fot(join(X_13,Z))),bind(X_94,$fot(join(Z,X_13)))]]) ).
cnf(refute_0_549,plain,
( join(join(X_13,Z),meet(join(X_13,Z),join(Z,X_13))) != join(X_13,Z)
| join(join(X_13,Z),meet(join(X_13,Z),join(Z,X_13))) != meet(join(X_13,Z),join(Z,X_13))
| join(X_13,Z) = meet(join(X_13,Z),join(Z,X_13)) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(X_13,Z),meet(join(X_13,Z),join(Z,X_13))),meet(join(X_13,Z),join(Z,X_13))) ),[0],$fot(join(X_13,Z))]]) ).
cnf(refute_0_550,plain,
( join(join(X_13,Z),meet(join(X_13,Z),join(Z,X_13))) != meet(join(X_13,Z),join(Z,X_13))
| join(X_13,Z) = meet(join(X_13,Z),join(Z,X_13)) ),
inference(resolve,[$cnf( $equal(join(join(X_13,Z),meet(join(X_13,Z),join(Z,X_13))),join(X_13,Z)) )],[refute_0_548,refute_0_549]) ).
cnf(refute_0_551,plain,
join(X_13,Z) = meet(join(X_13,Z),join(Z,X_13)),
inference(resolve,[$cnf( $equal(join(join(X_13,Z),meet(join(X_13,Z),join(Z,X_13))),meet(join(X_13,Z),join(Z,X_13))) )],[refute_0_547,refute_0_550]) ).
cnf(refute_0_552,plain,
join(X_152,X_151) = meet(join(X_152,X_151),join(X_151,X_152)),
inference(subst,[],[refute_0_551:[bind(Z,$fot(X_151)),bind(X_13,$fot(X_152))]]) ).
cnf(refute_0_553,plain,
( join(X_152,X_151) != meet(join(X_152,X_151),join(X_151,X_152))
| meet(join(X_152,X_151),join(X_151,X_152)) = join(X_152,X_151) ),
inference(subst,[],[refute_0_20:[bind(X0,$fot(join(X_152,X_151))),bind(Y0,$fot(meet(join(X_152,X_151),join(X_151,X_152))))]]) ).
cnf(refute_0_554,plain,
meet(join(X_152,X_151),join(X_151,X_152)) = join(X_152,X_151),
inference(resolve,[$cnf( $equal(join(X_152,X_151),meet(join(X_152,X_151),join(X_151,X_152))) )],[refute_0_552,refute_0_553]) ).
cnf(refute_0_555,plain,
( meet(join(X_151,X_152),join(X_152,X_151)) != meet(join(X_152,X_151),join(X_151,X_152))
| meet(join(X_152,X_151),join(X_151,X_152)) != join(X_152,X_151)
| meet(join(X_151,X_152),join(X_152,X_151)) = join(X_152,X_151) ),
introduced(tautology,[equality,[$cnf( ~ $equal(meet(join(X_151,X_152),join(X_152,X_151)),join(X_152,X_151)) ),[0],$fot(meet(join(X_152,X_151),join(X_151,X_152)))]]) ).
cnf(refute_0_556,plain,
( meet(join(X_151,X_152),join(X_152,X_151)) != meet(join(X_152,X_151),join(X_151,X_152))
| meet(join(X_151,X_152),join(X_152,X_151)) = join(X_152,X_151) ),
inference(resolve,[$cnf( $equal(meet(join(X_152,X_151),join(X_151,X_152)),join(X_152,X_151)) )],[refute_0_554,refute_0_555]) ).
cnf(refute_0_557,plain,
meet(join(X_151,X_152),join(X_152,X_151)) = join(X_152,X_151),
inference(resolve,[$cnf( $equal(meet(join(X_151,X_152),join(X_152,X_151)),meet(join(X_152,X_151),join(X_151,X_152))) )],[refute_0_452,refute_0_556]) ).
cnf(refute_0_558,plain,
( join(X_13,Z) != meet(join(X_13,Z),join(Z,X_13))
| meet(join(X_13,Z),join(Z,X_13)) = join(X_13,Z) ),
inference(subst,[],[refute_0_20:[bind(X0,$fot(join(X_13,Z))),bind(Y0,$fot(meet(join(X_13,Z),join(Z,X_13))))]]) ).
cnf(refute_0_559,plain,
meet(join(X_13,Z),join(Z,X_13)) = join(X_13,Z),
inference(resolve,[$cnf( $equal(join(X_13,Z),meet(join(X_13,Z),join(Z,X_13))) )],[refute_0_551,refute_0_558]) ).
cnf(refute_0_560,plain,
meet(join(X_151,X_152),join(X_152,X_151)) = join(X_151,X_152),
inference(subst,[],[refute_0_559:[bind(Z,$fot(X_152)),bind(X_13,$fot(X_151))]]) ).
cnf(refute_0_561,plain,
( meet(join(X_151,X_152),join(X_152,X_151)) != join(X_151,X_152)
| meet(join(X_151,X_152),join(X_152,X_151)) != join(X_152,X_151)
| join(X_151,X_152) = join(X_152,X_151) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_151,X_152),join(X_152,X_151)),join(X_152,X_151)) ),[0],$fot(join(X_151,X_152))]]) ).
cnf(refute_0_562,plain,
( meet(join(X_151,X_152),join(X_152,X_151)) != join(X_152,X_151)
| join(X_151,X_152) = join(X_152,X_151) ),
inference(resolve,[$cnf( $equal(meet(join(X_151,X_152),join(X_152,X_151)),join(X_151,X_152)) )],[refute_0_560,refute_0_561]) ).
cnf(refute_0_563,plain,
join(X_151,X_152) = join(X_152,X_151),
inference(resolve,[$cnf( $equal(meet(join(X_151,X_152),join(X_152,X_151)),join(X_152,X_151)) )],[refute_0_557,refute_0_562]) ).
cnf(refute_0_564,plain,
( join(X_151,X_152) != join(X_152,X_151)
| join(X_152,X_151) = join(X_151,X_152) ),
inference(subst,[],[refute_0_20:[bind(X0,$fot(join(X_151,X_152))),bind(Y0,$fot(join(X_152,X_151)))]]) ).
cnf(refute_0_565,plain,
join(X_152,X_151) = join(X_151,X_152),
inference(resolve,[$cnf( $equal(join(X_151,X_152),join(X_152,X_151)) )],[refute_0_563,refute_0_564]) ).
cnf(refute_0_566,plain,
join(b,a) = join(a,b),
inference(subst,[],[refute_0_565:[bind(X_151,$fot(a)),bind(X_152,$fot(b))]]) ).
cnf(refute_0_567,plain,
( join(a,b) != join(a,b)
| join(b,a) != join(a,b)
| join(b,a) = join(a,b) ),
introduced(tautology,[equality,[$cnf( $equal(join(b,a),join(a,b)) ),[1],$fot(join(a,b))]]) ).
cnf(refute_0_568,plain,
( join(a,b) != join(a,b)
| join(b,a) = join(a,b) ),
inference(resolve,[$cnf( $equal(join(b,a),join(a,b)) )],[refute_0_566,refute_0_567]) ).
cnf(refute_0_569,plain,
join(a,b) != join(a,b),
inference(resolve,[$cnf( $equal(join(b,a),join(a,b)) )],[refute_0_568,refute_0_451]) ).
cnf(refute_0_570,plain,
join(a,b) = join(a,b),
introduced(tautology,[refl,[$fot(join(a,b))]]) ).
cnf(refute_0_571,plain,
$false,
inference(resolve,[$cnf( $equal(join(a,b),join(a,b)) )],[refute_0_570,refute_0_569]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : LAT029-1 : TPTP v8.1.0. Released v2.2.0.
% 0.06/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n004.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Wed Jun 29 21:54:08 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.92/1.10 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.92/1.10
% 0.92/1.10 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 1.00/1.19
%------------------------------------------------------------------------------