%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : LAT143-1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sun Jul 17 06:01:08 EDT 2022
% Result : Unsatisfiable 22.72s 22.92s
% Output : CNFRefutation 22.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 82
% Number of leaves : 286
% Syntax : Number of clauses : 1383 ( 709 unt; 0 nHn; 666 RR)
% Number of literals : 2347 (2346 equ; 967 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 4462 ( 126 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(idempotence_of_join,axiom,
join(X,X) = X ).
cnf(absorption1,axiom,
meet(X,join(X,Y)) = X ).
cnf(absorption2,axiom,
join(X,meet(X,Y)) = X ).
cnf(commutativity_of_meet,axiom,
meet(X,Y) = meet(Y,X) ).
cnf(commutativity_of_join,axiom,
join(X,Y) = join(Y,X) ).
cnf(associativity_of_meet,axiom,
meet(meet(X,Y),Z) = meet(X,meet(Y,Z)) ).
cnf(associativity_of_join,axiom,
join(join(X,Y),Z) = join(X,join(Y,Z)) ).
cnf(equation_H24,axiom,
join(meet(X,Y),meet(Y,Z)) = join(meet(X,Y),meet(Y,join(meet(X,Y),meet(Z,join(X,Y))))) ).
cnf(prove_H15,negated_conjecture,
meet(a,join(meet(a,b),meet(a,c))) != meet(a,join(meet(a,b),join(meet(a,c),meet(c,join(a,b))))) ).
cnf(refute_0_0,plain,
( join(X,Y) != join(Y,X)
| meet(X,join(X,Y)) != X
| meet(X,join(Y,X)) = X ),
introduced(tautology,[equality,[$cnf( $equal(meet(X,join(X,Y)),X) ),[0,1],$fot(join(Y,X))]]) ).
cnf(refute_0_1,plain,
( meet(X,join(X,Y)) != X
| meet(X,join(Y,X)) = X ),
inference(resolve,[$cnf( $equal(join(X,Y),join(Y,X)) )],[commutativity_of_join,refute_0_0]) ).
cnf(refute_0_2,plain,
meet(X,join(Y,X)) = X,
inference(resolve,[$cnf( $equal(meet(X,join(X,Y)),X) )],[absorption1,refute_0_1]) ).
cnf(refute_0_3,plain,
meet(meet(X_15,Y),join(X_15,meet(X_15,Y))) = meet(X_15,Y),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(X_15,Y))),bind(Y,$fot(X_15))]]) ).
cnf(refute_0_4,plain,
join(X_15,meet(X_15,Y)) = X_15,
inference(subst,[],[absorption2:[bind(X,$fot(X_15))]]) ).
cnf(refute_0_5,plain,
( join(X_15,meet(X_15,Y)) != X_15
| meet(meet(X_15,Y),join(X_15,meet(X_15,Y))) != meet(X_15,Y)
| meet(meet(X_15,Y),X_15) = meet(X_15,Y) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_15,Y),join(X_15,meet(X_15,Y))),meet(X_15,Y)) ),[0,1],$fot(X_15)]]) ).
cnf(refute_0_6,plain,
( meet(meet(X_15,Y),join(X_15,meet(X_15,Y))) != meet(X_15,Y)
| meet(meet(X_15,Y),X_15) = meet(X_15,Y) ),
inference(resolve,[$cnf( $equal(join(X_15,meet(X_15,Y)),X_15) )],[refute_0_4,refute_0_5]) ).
cnf(refute_0_7,plain,
meet(meet(X_15,Y),X_15) = meet(X_15,Y),
inference(resolve,[$cnf( $equal(meet(meet(X_15,Y),join(X_15,meet(X_15,Y))),meet(X_15,Y)) )],[refute_0_3,refute_0_6]) ).
cnf(refute_0_8,plain,
meet(meet(X_15,Y),X_15) = meet(X_15,meet(Y,X_15)),
inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_15)),bind(Z,$fot(X_15))]]) ).
cnf(refute_0_9,plain,
( meet(meet(X_15,Y),X_15) != meet(X_15,Y)
| meet(meet(X_15,Y),X_15) != meet(X_15,meet(Y,X_15))
| meet(X_15,meet(Y,X_15)) = meet(X_15,Y) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_15,Y),X_15),meet(X_15,Y)) ),[0],$fot(meet(X_15,meet(Y,X_15)))]]) ).
cnf(refute_0_10,plain,
( meet(meet(X_15,Y),X_15) != meet(X_15,Y)
| meet(X_15,meet(Y,X_15)) = meet(X_15,Y) ),
inference(resolve,[$cnf( $equal(meet(meet(X_15,Y),X_15),meet(X_15,meet(Y,X_15))) )],[refute_0_8,refute_0_9]) ).
cnf(refute_0_11,plain,
meet(X_15,meet(Y,X_15)) = meet(X_15,Y),
inference(resolve,[$cnf( $equal(meet(meet(X_15,Y),X_15),meet(X_15,Y)) )],[refute_0_7,refute_0_10]) ).
cnf(refute_0_12,plain,
meet(X_19,meet(X_18,X_19)) = meet(X_19,X_18),
inference(subst,[],[refute_0_11:[bind(Y,$fot(X_18)),bind(X_15,$fot(X_19))]]) ).
cnf(refute_0_13,plain,
meet(X_19,X_18) = meet(X_18,X_19),
inference(subst,[],[commutativity_of_meet:[bind(X,$fot(X_19)),bind(Y,$fot(X_18))]]) ).
cnf(refute_0_14,plain,
X0 = X0,
introduced(tautology,[refl,[$fot(X0)]]) ).
cnf(refute_0_15,plain,
( X0 != X0
| X0 != Y0
| Y0 = X0 ),
introduced(tautology,[equality,[$cnf( $equal(X0,X0) ),[0],$fot(Y0)]]) ).
cnf(refute_0_16,plain,
( X0 != Y0
| Y0 = X0 ),
inference(resolve,[$cnf( $equal(X0,X0) )],[refute_0_14,refute_0_15]) ).
cnf(refute_0_17,plain,
( meet(X_19,X_18) != meet(X_18,X_19)
| meet(X_18,X_19) = meet(X_19,X_18) ),
inference(subst,[],[refute_0_16:[bind(X0,$fot(meet(X_19,X_18))),bind(Y0,$fot(meet(X_18,X_19)))]]) ).
cnf(refute_0_18,plain,
meet(X_18,X_19) = meet(X_19,X_18),
inference(resolve,[$cnf( $equal(meet(X_19,X_18),meet(X_18,X_19)) )],[refute_0_13,refute_0_17]) ).
cnf(refute_0_19,plain,
( meet(X_18,X_19) != meet(X_19,X_18)
| meet(X_19,meet(X_18,X_19)) != meet(X_19,X_18)
| meet(X_19,meet(X_19,X_18)) = meet(X_19,X_18) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_19,meet(X_18,X_19)),meet(X_19,X_18)) ),[0,1],$fot(meet(X_19,X_18))]]) ).
cnf(refute_0_20,plain,
( meet(X_19,meet(X_18,X_19)) != meet(X_19,X_18)
| meet(X_19,meet(X_19,X_18)) = meet(X_19,X_18) ),
inference(resolve,[$cnf( $equal(meet(X_18,X_19),meet(X_19,X_18)) )],[refute_0_18,refute_0_19]) ).
cnf(refute_0_21,plain,
meet(X_19,meet(X_19,X_18)) = meet(X_19,X_18),
inference(resolve,[$cnf( $equal(meet(X_19,meet(X_18,X_19)),meet(X_19,X_18)) )],[refute_0_12,refute_0_20]) ).
cnf(refute_0_22,plain,
meet(X_19,meet(X_19,join(meet(X_19,X_209),meet(X_210,join(X_209,X_19))))) = meet(X_19,join(meet(X_19,X_209),meet(X_210,join(X_209,X_19)))),
inference(subst,[],[refute_0_21:[bind(X_18,$fot(join(meet(X_19,X_209),meet(X_210,join(X_209,X_19)))))]]) ).
cnf(refute_0_23,plain,
( join(X,meet(X,Y)) != X
| meet(X,Y) != meet(Y,X)
| join(X,meet(Y,X)) = X ),
introduced(tautology,[equality,[$cnf( $equal(join(X,meet(X,Y)),X) ),[0,1],$fot(meet(Y,X))]]) ).
cnf(refute_0_24,plain,
( join(X,meet(X,Y)) != X
| join(X,meet(Y,X)) = X ),
inference(resolve,[$cnf( $equal(meet(X,Y),meet(Y,X)) )],[commutativity_of_meet,refute_0_23]) ).
cnf(refute_0_25,plain,
join(X,meet(Y,X)) = X,
inference(resolve,[$cnf( $equal(join(X,meet(X,Y)),X) )],[absorption2,refute_0_24]) ).
cnf(refute_0_26,plain,
join(meet(X_18,Y),meet(Y,meet(X_18,Y))) = meet(X_18,Y),
inference(subst,[],[refute_0_25:[bind(X,$fot(meet(X_18,Y)))]]) ).
cnf(refute_0_27,plain,
meet(Y,meet(X_18,Y)) = meet(Y,X_18),
inference(subst,[],[refute_0_11:[bind(Y,$fot(X_18)),bind(X_15,$fot(Y))]]) ).
cnf(refute_0_28,plain,
( join(meet(X_18,Y),meet(Y,meet(X_18,Y))) != meet(X_18,Y)
| meet(Y,meet(X_18,Y)) != meet(Y,X_18)
| join(meet(X_18,Y),meet(Y,X_18)) = meet(X_18,Y) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_18,Y),meet(Y,meet(X_18,Y))),meet(X_18,Y)) ),[0,1],$fot(meet(Y,X_18))]]) ).
cnf(refute_0_29,plain,
( join(meet(X_18,Y),meet(Y,meet(X_18,Y))) != meet(X_18,Y)
| join(meet(X_18,Y),meet(Y,X_18)) = meet(X_18,Y) ),
inference(resolve,[$cnf( $equal(meet(Y,meet(X_18,Y)),meet(Y,X_18)) )],[refute_0_27,refute_0_28]) ).
cnf(refute_0_30,plain,
join(meet(X_18,Y),meet(Y,X_18)) = meet(X_18,Y),
inference(resolve,[$cnf( $equal(join(meet(X_18,Y),meet(Y,meet(X_18,Y))),meet(X_18,Y)) )],[refute_0_26,refute_0_29]) ).
cnf(refute_0_31,plain,
join(meet(join(meet(X_112,Y),meet(X_114,join(X_112,Y))),Y),meet(Y,join(meet(X_112,Y),meet(X_114,join(X_112,Y))))) = meet(join(meet(X_112,Y),meet(X_114,join(X_112,Y))),Y),
inference(subst,[],[refute_0_30:[bind(X_18,$fot(join(meet(X_112,Y),meet(X_114,join(X_112,Y)))))]]) ).
cnf(refute_0_32,plain,
join(meet(X_41,join(meet(Y,X_41),X_39)),meet(Y,meet(X_41,join(meet(Y,X_41),X_39)))) = meet(X_41,join(meet(Y,X_41),X_39)),
inference(subst,[],[refute_0_25:[bind(X,$fot(meet(X_41,join(meet(Y,X_41),X_39))))]]) ).
cnf(refute_0_33,plain,
meet(meet(X_22,X_23),join(meet(X_22,X_23),Y)) = meet(X_22,X_23),
inference(subst,[],[absorption1:[bind(X,$fot(meet(X_22,X_23)))]]) ).
cnf(refute_0_34,plain,
meet(meet(X_22,X_23),join(meet(X_22,X_23),Y)) = meet(X_22,meet(X_23,join(meet(X_22,X_23),Y))),
inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_22)),bind(Y,$fot(X_23)),bind(Z,$fot(join(meet(X_22,X_23),Y)))]]) ).
cnf(refute_0_35,plain,
( meet(meet(X_22,X_23),join(meet(X_22,X_23),Y)) != meet(X_22,X_23)
| meet(meet(X_22,X_23),join(meet(X_22,X_23),Y)) != meet(X_22,meet(X_23,join(meet(X_22,X_23),Y)))
| meet(X_22,meet(X_23,join(meet(X_22,X_23),Y))) = meet(X_22,X_23) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_22,X_23),join(meet(X_22,X_23),Y)),meet(X_22,X_23)) ),[0],$fot(meet(X_22,meet(X_23,join(meet(X_22,X_23),Y))))]]) ).
cnf(refute_0_36,plain,
( meet(meet(X_22,X_23),join(meet(X_22,X_23),Y)) != meet(X_22,X_23)
| meet(X_22,meet(X_23,join(meet(X_22,X_23),Y))) = meet(X_22,X_23) ),
inference(resolve,[$cnf( $equal(meet(meet(X_22,X_23),join(meet(X_22,X_23),Y)),meet(X_22,meet(X_23,join(meet(X_22,X_23),Y)))) )],[refute_0_34,refute_0_35]) ).
cnf(refute_0_37,plain,
meet(X_22,meet(X_23,join(meet(X_22,X_23),Y))) = meet(X_22,X_23),
inference(resolve,[$cnf( $equal(meet(meet(X_22,X_23),join(meet(X_22,X_23),Y)),meet(X_22,X_23)) )],[refute_0_33,refute_0_36]) ).
cnf(refute_0_38,plain,
meet(Y,meet(X_41,join(meet(Y,X_41),X_39))) = meet(Y,X_41),
inference(subst,[],[refute_0_37:[bind(Y,$fot(X_39)),bind(X_22,$fot(Y)),bind(X_23,$fot(X_41))]]) ).
cnf(refute_0_39,plain,
( join(meet(X_41,join(meet(Y,X_41),X_39)),meet(Y,meet(X_41,join(meet(Y,X_41),X_39)))) != meet(X_41,join(meet(Y,X_41),X_39))
| meet(Y,meet(X_41,join(meet(Y,X_41),X_39))) != meet(Y,X_41)
| join(meet(X_41,join(meet(Y,X_41),X_39)),meet(Y,X_41)) = meet(X_41,join(meet(Y,X_41),X_39)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_41,join(meet(Y,X_41),X_39)),meet(Y,meet(X_41,join(meet(Y,X_41),X_39)))),meet(X_41,join(meet(Y,X_41),X_39))) ),[0,1],$fot(meet(Y,X_41))]]) ).
cnf(refute_0_40,plain,
( join(meet(X_41,join(meet(Y,X_41),X_39)),meet(Y,meet(X_41,join(meet(Y,X_41),X_39)))) != meet(X_41,join(meet(Y,X_41),X_39))
| join(meet(X_41,join(meet(Y,X_41),X_39)),meet(Y,X_41)) = meet(X_41,join(meet(Y,X_41),X_39)) ),
inference(resolve,[$cnf( $equal(meet(Y,meet(X_41,join(meet(Y,X_41),X_39))),meet(Y,X_41)) )],[refute_0_38,refute_0_39]) ).
cnf(refute_0_41,plain,
join(meet(X_41,join(meet(Y,X_41),X_39)),meet(Y,X_41)) = meet(X_41,join(meet(Y,X_41),X_39)),
inference(resolve,[$cnf( $equal(join(meet(X_41,join(meet(Y,X_41),X_39)),meet(Y,meet(X_41,join(meet(Y,X_41),X_39)))),meet(X_41,join(meet(Y,X_41),X_39))) )],[refute_0_32,refute_0_40]) ).
cnf(refute_0_42,plain,
( join(X,Y) != join(Y,X)
| join(Y,X) = join(X,Y) ),
inference(subst,[],[refute_0_16:[bind(X0,$fot(join(X,Y))),bind(Y0,$fot(join(Y,X)))]]) ).
cnf(refute_0_43,plain,
join(Y,X) = join(X,Y),
inference(resolve,[$cnf( $equal(join(X,Y),join(Y,X)) )],[commutativity_of_join,refute_0_42]) ).
cnf(refute_0_44,plain,
join(meet(X_41,join(meet(Y,X_41),X_39)),meet(Y,X_41)) = join(meet(Y,X_41),meet(X_41,join(meet(Y,X_41),X_39))),
inference(subst,[],[refute_0_43:[bind(X,$fot(meet(Y,X_41))),bind(Y,$fot(meet(X_41,join(meet(Y,X_41),X_39))))]]) ).
cnf(refute_0_45,plain,
( join(meet(X_41,join(meet(Y,X_41),X_39)),meet(Y,X_41)) != join(meet(Y,X_41),meet(X_41,join(meet(Y,X_41),X_39)))
| join(meet(X_41,join(meet(Y,X_41),X_39)),meet(Y,X_41)) != meet(X_41,join(meet(Y,X_41),X_39))
| join(meet(Y,X_41),meet(X_41,join(meet(Y,X_41),X_39))) = meet(X_41,join(meet(Y,X_41),X_39)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_41,join(meet(Y,X_41),X_39)),meet(Y,X_41)),meet(X_41,join(meet(Y,X_41),X_39))) ),[0],$fot(join(meet(Y,X_41),meet(X_41,join(meet(Y,X_41),X_39))))]]) ).
cnf(refute_0_46,plain,
( join(meet(X_41,join(meet(Y,X_41),X_39)),meet(Y,X_41)) != meet(X_41,join(meet(Y,X_41),X_39))
| join(meet(Y,X_41),meet(X_41,join(meet(Y,X_41),X_39))) = meet(X_41,join(meet(Y,X_41),X_39)) ),
inference(resolve,[$cnf( $equal(join(meet(X_41,join(meet(Y,X_41),X_39)),meet(Y,X_41)),join(meet(Y,X_41),meet(X_41,join(meet(Y,X_41),X_39)))) )],[refute_0_44,refute_0_45]) ).
cnf(refute_0_47,plain,
join(meet(Y,X_41),meet(X_41,join(meet(Y,X_41),X_39))) = meet(X_41,join(meet(Y,X_41),X_39)),
inference(resolve,[$cnf( $equal(join(meet(X_41,join(meet(Y,X_41),X_39)),meet(Y,X_41)),meet(X_41,join(meet(Y,X_41),X_39))) )],[refute_0_41,refute_0_46]) ).
cnf(refute_0_48,plain,
join(meet(X,Y),meet(Y,join(meet(X,Y),meet(Z,join(X,Y))))) = meet(Y,join(meet(X,Y),meet(Z,join(X,Y)))),
inference(subst,[],[refute_0_47:[bind(Y,$fot(X)),bind(X_39,$fot(meet(Z,join(X,Y)))),bind(X_41,$fot(Y))]]) ).
cnf(refute_0_49,plain,
( join(meet(X,Y),meet(Y,Z)) != join(meet(X,Y),meet(Y,join(meet(X,Y),meet(Z,join(X,Y)))))
| join(meet(X,Y),meet(Y,join(meet(X,Y),meet(Z,join(X,Y))))) != meet(Y,join(meet(X,Y),meet(Z,join(X,Y))))
| join(meet(X,Y),meet(Y,Z)) = meet(Y,join(meet(X,Y),meet(Z,join(X,Y)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(meet(X,Y),meet(Y,Z)),meet(Y,join(meet(X,Y),meet(Z,join(X,Y))))) ),[0],$fot(join(meet(X,Y),meet(Y,join(meet(X,Y),meet(Z,join(X,Y))))))]]) ).
cnf(refute_0_50,plain,
( join(meet(X,Y),meet(Y,Z)) != join(meet(X,Y),meet(Y,join(meet(X,Y),meet(Z,join(X,Y)))))
| join(meet(X,Y),meet(Y,Z)) = meet(Y,join(meet(X,Y),meet(Z,join(X,Y)))) ),
inference(resolve,[$cnf( $equal(join(meet(X,Y),meet(Y,join(meet(X,Y),meet(Z,join(X,Y))))),meet(Y,join(meet(X,Y),meet(Z,join(X,Y))))) )],[refute_0_48,refute_0_49]) ).
cnf(refute_0_51,plain,
join(meet(X,Y),meet(Y,Z)) = meet(Y,join(meet(X,Y),meet(Z,join(X,Y)))),
inference(resolve,[$cnf( $equal(join(meet(X,Y),meet(Y,Z)),join(meet(X,Y),meet(Y,join(meet(X,Y),meet(Z,join(X,Y)))))) )],[equation_H24,refute_0_50]) ).
cnf(refute_0_52,plain,
join(meet(X_112,Y),meet(Y,X_114)) = meet(Y,join(meet(X_112,Y),meet(X_114,join(X_112,Y)))),
inference(subst,[],[refute_0_51:[bind(X,$fot(X_112)),bind(Z,$fot(X_114))]]) ).
cnf(refute_0_53,plain,
( join(meet(X_112,Y),meet(Y,X_114)) != meet(Y,join(meet(X_112,Y),meet(X_114,join(X_112,Y))))
| meet(Y,join(meet(X_112,Y),meet(X_114,join(X_112,Y)))) = join(meet(X_112,Y),meet(Y,X_114)) ),
inference(subst,[],[refute_0_16:[bind(X0,$fot(join(meet(X_112,Y),meet(Y,X_114)))),bind(Y0,$fot(meet(Y,join(meet(X_112,Y),meet(X_114,join(X_112,Y))))))]]) ).
cnf(refute_0_54,plain,
meet(Y,join(meet(X_112,Y),meet(X_114,join(X_112,Y)))) = join(meet(X_112,Y),meet(Y,X_114)),
inference(resolve,[$cnf( $equal(join(meet(X_112,Y),meet(Y,X_114)),meet(Y,join(meet(X_112,Y),meet(X_114,join(X_112,Y))))) )],[refute_0_52,refute_0_53]) ).
cnf(refute_0_55,plain,
( join(meet(join(meet(X_112,Y),meet(X_114,join(X_112,Y))),Y),meet(Y,join(meet(X_112,Y),meet(X_114,join(X_112,Y))))) != meet(join(meet(X_112,Y),meet(X_114,join(X_112,Y))),Y)
| meet(Y,join(meet(X_112,Y),meet(X_114,join(X_112,Y)))) != join(meet(X_112,Y),meet(Y,X_114))
| join(meet(join(meet(X_112,Y),meet(X_114,join(X_112,Y))),Y),join(meet(X_112,Y),meet(Y,X_114))) = meet(join(meet(X_112,Y),meet(X_114,join(X_112,Y))),Y) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(join(meet(X_112,Y),meet(X_114,join(X_112,Y))),Y),meet(Y,join(meet(X_112,Y),meet(X_114,join(X_112,Y))))),meet(join(meet(X_112,Y),meet(X_114,join(X_112,Y))),Y)) ),[0,1],$fot(join(meet(X_112,Y),meet(Y,X_114)))]]) ).
cnf(refute_0_56,plain,
( join(meet(join(meet(X_112,Y),meet(X_114,join(X_112,Y))),Y),meet(Y,join(meet(X_112,Y),meet(X_114,join(X_112,Y))))) != meet(join(meet(X_112,Y),meet(X_114,join(X_112,Y))),Y)
| join(meet(join(meet(X_112,Y),meet(X_114,join(X_112,Y))),Y),join(meet(X_112,Y),meet(Y,X_114))) = meet(join(meet(X_112,Y),meet(X_114,join(X_112,Y))),Y) ),
inference(resolve,[$cnf( $equal(meet(Y,join(meet(X_112,Y),meet(X_114,join(X_112,Y)))),join(meet(X_112,Y),meet(Y,X_114))) )],[refute_0_54,refute_0_55]) ).
cnf(refute_0_57,plain,
join(meet(join(meet(X_112,Y),meet(X_114,join(X_112,Y))),Y),join(meet(X_112,Y),meet(Y,X_114))) = meet(join(meet(X_112,Y),meet(X_114,join(X_112,Y))),Y),
inference(resolve,[$cnf( $equal(join(meet(join(meet(X_112,Y),meet(X_114,join(X_112,Y))),Y),meet(Y,join(meet(X_112,Y),meet(X_114,join(X_112,Y))))),meet(join(meet(X_112,Y),meet(X_114,join(X_112,Y))),Y)) )],[refute_0_31,refute_0_56]) ).
cnf(refute_0_58,plain,
join(X,meet(meet(X_22,X_23),X)) = X,
inference(subst,[],[refute_0_25:[bind(Y,$fot(meet(X_22,X_23)))]]) ).
cnf(refute_0_59,plain,
meet(meet(X_22,X_23),X) = meet(X_22,meet(X_23,X)),
inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_22)),bind(Y,$fot(X_23)),bind(Z,$fot(X))]]) ).
cnf(refute_0_60,plain,
( join(X,meet(meet(X_22,X_23),X)) != X
| meet(meet(X_22,X_23),X) != meet(X_22,meet(X_23,X))
| join(X,meet(X_22,meet(X_23,X))) = X ),
introduced(tautology,[equality,[$cnf( $equal(join(X,meet(meet(X_22,X_23),X)),X) ),[0,1],$fot(meet(X_22,meet(X_23,X)))]]) ).
cnf(refute_0_61,plain,
( join(X,meet(meet(X_22,X_23),X)) != X
| join(X,meet(X_22,meet(X_23,X))) = X ),
inference(resolve,[$cnf( $equal(meet(meet(X_22,X_23),X),meet(X_22,meet(X_23,X))) )],[refute_0_59,refute_0_60]) ).
cnf(refute_0_62,plain,
join(X,meet(X_22,meet(X_23,X))) = X,
inference(resolve,[$cnf( $equal(join(X,meet(meet(X_22,X_23),X)),X) )],[refute_0_58,refute_0_61]) ).
cnf(refute_0_63,plain,
join(join(X_27,Y),meet(X_26,meet(X_27,join(X_27,Y)))) = join(X_27,Y),
inference(subst,[],[refute_0_62:[bind(X,$fot(join(X_27,Y))),bind(X_22,$fot(X_26)),bind(X_23,$fot(X_27))]]) ).
cnf(refute_0_64,plain,
meet(X_27,join(X_27,Y)) = X_27,
inference(subst,[],[absorption1:[bind(X,$fot(X_27))]]) ).
cnf(refute_0_65,plain,
( join(join(X_27,Y),meet(X_26,meet(X_27,join(X_27,Y)))) != join(X_27,Y)
| meet(X_27,join(X_27,Y)) != X_27
| join(join(X_27,Y),meet(X_26,X_27)) = join(X_27,Y) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(X_27,Y),meet(X_26,meet(X_27,join(X_27,Y)))),join(X_27,Y)) ),[0,1,1],$fot(X_27)]]) ).
cnf(refute_0_66,plain,
( join(join(X_27,Y),meet(X_26,meet(X_27,join(X_27,Y)))) != join(X_27,Y)
| join(join(X_27,Y),meet(X_26,X_27)) = join(X_27,Y) ),
inference(resolve,[$cnf( $equal(meet(X_27,join(X_27,Y)),X_27) )],[refute_0_64,refute_0_65]) ).
cnf(refute_0_67,plain,
join(join(X_27,Y),meet(X_26,X_27)) = join(X_27,Y),
inference(resolve,[$cnf( $equal(join(join(X_27,Y),meet(X_26,meet(X_27,join(X_27,Y)))),join(X_27,Y)) )],[refute_0_63,refute_0_66]) ).
cnf(refute_0_68,plain,
join(join(X_27,Y),meet(X_26,X_27)) = join(X_27,join(Y,meet(X_26,X_27))),
inference(subst,[],[associativity_of_join:[bind(X,$fot(X_27)),bind(Z,$fot(meet(X_26,X_27)))]]) ).
cnf(refute_0_69,plain,
( join(join(X_27,Y),meet(X_26,X_27)) != join(X_27,Y)
| join(join(X_27,Y),meet(X_26,X_27)) != join(X_27,join(Y,meet(X_26,X_27)))
| join(X_27,join(Y,meet(X_26,X_27))) = join(X_27,Y) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(X_27,Y),meet(X_26,X_27)),join(X_27,Y)) ),[0],$fot(join(X_27,join(Y,meet(X_26,X_27))))]]) ).
cnf(refute_0_70,plain,
( join(join(X_27,Y),meet(X_26,X_27)) != join(X_27,Y)
| join(X_27,join(Y,meet(X_26,X_27))) = join(X_27,Y) ),
inference(resolve,[$cnf( $equal(join(join(X_27,Y),meet(X_26,X_27)),join(X_27,join(Y,meet(X_26,X_27)))) )],[refute_0_68,refute_0_69]) ).
cnf(refute_0_71,plain,
join(X_27,join(Y,meet(X_26,X_27))) = join(X_27,Y),
inference(resolve,[$cnf( $equal(join(join(X_27,Y),meet(X_26,X_27)),join(X_27,Y)) )],[refute_0_67,refute_0_70]) ).
cnf(refute_0_72,plain,
join(meet(Y,X_64),join(X_63,meet(X_64,meet(Y,X_64)))) = join(meet(Y,X_64),X_63),
inference(subst,[],[refute_0_71:[bind(Y,$fot(X_63)),bind(X_26,$fot(X_64)),bind(X_27,$fot(meet(Y,X_64)))]]) ).
cnf(refute_0_73,plain,
meet(X_64,meet(Y,X_64)) = meet(X_64,Y),
inference(subst,[],[refute_0_11:[bind(X_15,$fot(X_64))]]) ).
cnf(refute_0_74,plain,
( join(meet(Y,X_64),join(X_63,meet(X_64,meet(Y,X_64)))) != join(meet(Y,X_64),X_63)
| meet(X_64,meet(Y,X_64)) != meet(X_64,Y)
| join(meet(Y,X_64),join(X_63,meet(X_64,Y))) = join(meet(Y,X_64),X_63) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(Y,X_64),join(X_63,meet(X_64,meet(Y,X_64)))),join(meet(Y,X_64),X_63)) ),[0,1,1],$fot(meet(X_64,Y))]]) ).
cnf(refute_0_75,plain,
( join(meet(Y,X_64),join(X_63,meet(X_64,meet(Y,X_64)))) != join(meet(Y,X_64),X_63)
| join(meet(Y,X_64),join(X_63,meet(X_64,Y))) = join(meet(Y,X_64),X_63) ),
inference(resolve,[$cnf( $equal(meet(X_64,meet(Y,X_64)),meet(X_64,Y)) )],[refute_0_73,refute_0_74]) ).
cnf(refute_0_76,plain,
join(meet(Y,X_64),join(X_63,meet(X_64,Y))) = join(meet(Y,X_64),X_63),
inference(resolve,[$cnf( $equal(join(meet(Y,X_64),join(X_63,meet(X_64,meet(Y,X_64)))),join(meet(Y,X_64),X_63)) )],[refute_0_72,refute_0_75]) ).
cnf(refute_0_77,plain,
join(meet(Y,X_112),join(meet(Y,X_114),meet(X_112,Y))) = join(meet(Y,X_112),meet(Y,X_114)),
inference(subst,[],[refute_0_76:[bind(X_63,$fot(meet(Y,X_114))),bind(X_64,$fot(X_112))]]) ).
cnf(refute_0_78,plain,
join(join(X_9,Y),meet(X_9,join(X_9,Y))) = join(X_9,Y),
inference(subst,[],[refute_0_25:[bind(X,$fot(join(X_9,Y))),bind(Y,$fot(X_9))]]) ).
cnf(refute_0_79,plain,
meet(X_9,join(X_9,Y)) = X_9,
inference(subst,[],[absorption1:[bind(X,$fot(X_9))]]) ).
cnf(refute_0_80,plain,
( join(join(X_9,Y),meet(X_9,join(X_9,Y))) != join(X_9,Y)
| meet(X_9,join(X_9,Y)) != X_9
| join(join(X_9,Y),X_9) = join(X_9,Y) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(X_9,Y),meet(X_9,join(X_9,Y))),join(X_9,Y)) ),[0,1],$fot(X_9)]]) ).
cnf(refute_0_81,plain,
( join(join(X_9,Y),meet(X_9,join(X_9,Y))) != join(X_9,Y)
| join(join(X_9,Y),X_9) = join(X_9,Y) ),
inference(resolve,[$cnf( $equal(meet(X_9,join(X_9,Y)),X_9) )],[refute_0_79,refute_0_80]) ).
cnf(refute_0_82,plain,
join(join(X_9,Y),X_9) = join(X_9,Y),
inference(resolve,[$cnf( $equal(join(join(X_9,Y),meet(X_9,join(X_9,Y))),join(X_9,Y)) )],[refute_0_78,refute_0_81]) ).
cnf(refute_0_83,plain,
join(join(X_9,Y),X_9) = join(X_9,join(Y,X_9)),
inference(subst,[],[associativity_of_join:[bind(X,$fot(X_9)),bind(Z,$fot(X_9))]]) ).
cnf(refute_0_84,plain,
( join(join(X_9,Y),X_9) != join(X_9,Y)
| join(join(X_9,Y),X_9) != join(X_9,join(Y,X_9))
| join(X_9,join(Y,X_9)) = join(X_9,Y) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(X_9,Y),X_9),join(X_9,Y)) ),[0],$fot(join(X_9,join(Y,X_9)))]]) ).
cnf(refute_0_85,plain,
( join(join(X_9,Y),X_9) != join(X_9,Y)
| join(X_9,join(Y,X_9)) = join(X_9,Y) ),
inference(resolve,[$cnf( $equal(join(join(X_9,Y),X_9),join(X_9,join(Y,X_9))) )],[refute_0_83,refute_0_84]) ).
cnf(refute_0_86,plain,
join(X_9,join(Y,X_9)) = join(X_9,Y),
inference(resolve,[$cnf( $equal(join(join(X_9,Y),X_9),join(X_9,Y)) )],[refute_0_82,refute_0_85]) ).
cnf(refute_0_87,plain,
join(meet(Y,X_114),join(meet(X_112,Y),meet(Y,X_114))) = join(meet(Y,X_114),meet(X_112,Y)),
inference(subst,[],[refute_0_86:[bind(Y,$fot(meet(X_112,Y))),bind(X_9,$fot(meet(Y,X_114)))]]) ).
cnf(refute_0_88,plain,
join(meet(Y,X_114),meet(Y,join(meet(X_112,Y),meet(X_114,join(X_112,Y))))) = join(meet(Y,X_114),meet(Y,join(meet(X_112,Y),meet(X_114,join(X_112,Y))))),
introduced(tautology,[refl,[$fot(join(meet(Y,X_114),meet(Y,join(meet(X_112,Y),meet(X_114,join(X_112,Y))))))]]) ).
cnf(refute_0_89,plain,
( join(meet(Y,X_114),meet(Y,join(meet(X_112,Y),meet(X_114,join(X_112,Y))))) != join(meet(Y,X_114),meet(Y,join(meet(X_112,Y),meet(X_114,join(X_112,Y)))))
| meet(Y,join(meet(X_112,Y),meet(X_114,join(X_112,Y)))) != join(meet(X_112,Y),meet(Y,X_114))
| join(meet(Y,X_114),meet(Y,join(meet(X_112,Y),meet(X_114,join(X_112,Y))))) = join(meet(Y,X_114),join(meet(X_112,Y),meet(Y,X_114))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(Y,X_114),meet(Y,join(meet(X_112,Y),meet(X_114,join(X_112,Y))))),join(meet(Y,X_114),meet(Y,join(meet(X_112,Y),meet(X_114,join(X_112,Y)))))) ),[1,1],$fot(join(meet(X_112,Y),meet(Y,X_114)))]]) ).
cnf(refute_0_90,plain,
( meet(Y,join(meet(X_112,Y),meet(X_114,join(X_112,Y)))) != join(meet(X_112,Y),meet(Y,X_114))
| join(meet(Y,X_114),meet(Y,join(meet(X_112,Y),meet(X_114,join(X_112,Y))))) = join(meet(Y,X_114),join(meet(X_112,Y),meet(Y,X_114))) ),
inference(resolve,[$cnf( $equal(join(meet(Y,X_114),meet(Y,join(meet(X_112,Y),meet(X_114,join(X_112,Y))))),join(meet(Y,X_114),meet(Y,join(meet(X_112,Y),meet(X_114,join(X_112,Y)))))) )],[refute_0_88,refute_0_89]) ).
cnf(refute_0_91,plain,
join(meet(Y,X_114),meet(Y,join(meet(X_112,Y),meet(X_114,join(X_112,Y))))) = join(meet(Y,X_114),join(meet(X_112,Y),meet(Y,X_114))),
inference(resolve,[$cnf( $equal(meet(Y,join(meet(X_112,Y),meet(X_114,join(X_112,Y)))),join(meet(X_112,Y),meet(Y,X_114))) )],[refute_0_54,refute_0_90]) ).
cnf(refute_0_92,plain,
( Y0 != X0
| Y0 != Z0
| X0 = Z0 ),
introduced(tautology,[equality,[$cnf( $equal(Y0,Z0) ),[0],$fot(X0)]]) ).
cnf(refute_0_93,plain,
( X0 != Y0
| Y0 != Z0
| X0 = Z0 ),
inference(resolve,[$cnf( $equal(Y0,X0) )],[refute_0_16,refute_0_92]) ).
cnf(refute_0_94,plain,
( join(meet(Y,X_114),join(meet(X_112,Y),meet(Y,X_114))) != join(meet(Y,X_114),meet(X_112,Y))
| join(meet(Y,X_114),meet(Y,join(meet(X_112,Y),meet(X_114,join(X_112,Y))))) != join(meet(Y,X_114),join(meet(X_112,Y),meet(Y,X_114)))
| join(meet(Y,X_114),meet(Y,join(meet(X_112,Y),meet(X_114,join(X_112,Y))))) = join(meet(Y,X_114),meet(X_112,Y)) ),
inference(subst,[],[refute_0_93:[bind(X0,$fot(join(meet(Y,X_114),meet(Y,join(meet(X_112,Y),meet(X_114,join(X_112,Y))))))),bind(Y0,$fot(join(meet(Y,X_114),join(meet(X_112,Y),meet(Y,X_114))))),bind(Z0,$fot(join(meet(Y,X_114),meet(X_112,Y))))]]) ).
cnf(refute_0_95,plain,
( join(meet(Y,X_114),join(meet(X_112,Y),meet(Y,X_114))) != join(meet(Y,X_114),meet(X_112,Y))
| join(meet(Y,X_114),meet(Y,join(meet(X_112,Y),meet(X_114,join(X_112,Y))))) = join(meet(Y,X_114),meet(X_112,Y)) ),
inference(resolve,[$cnf( $equal(join(meet(Y,X_114),meet(Y,join(meet(X_112,Y),meet(X_114,join(X_112,Y))))),join(meet(Y,X_114),join(meet(X_112,Y),meet(Y,X_114)))) )],[refute_0_91,refute_0_94]) ).
cnf(refute_0_96,plain,
join(meet(Y,X_114),meet(Y,join(meet(X_112,Y),meet(X_114,join(X_112,Y))))) = join(meet(Y,X_114),meet(X_112,Y)),
inference(resolve,[$cnf( $equal(join(meet(Y,X_114),join(meet(X_112,Y),meet(Y,X_114))),join(meet(Y,X_114),meet(X_112,Y))) )],[refute_0_87,refute_0_95]) ).
cnf(refute_0_97,plain,
join(meet(Y,X_112),join(meet(Y,X_114),meet(Y,join(meet(X_112,Y),meet(X_114,join(X_112,Y)))))) = join(meet(Y,X_112),join(meet(Y,X_114),meet(Y,join(meet(X_112,Y),meet(X_114,join(X_112,Y)))))),
introduced(tautology,[refl,[$fot(join(meet(Y,X_112),join(meet(Y,X_114),meet(Y,join(meet(X_112,Y),meet(X_114,join(X_112,Y)))))))]]) ).
cnf(refute_0_98,plain,
( join(meet(Y,X_112),join(meet(Y,X_114),meet(Y,join(meet(X_112,Y),meet(X_114,join(X_112,Y)))))) != join(meet(Y,X_112),join(meet(Y,X_114),meet(Y,join(meet(X_112,Y),meet(X_114,join(X_112,Y))))))
| join(meet(Y,X_114),meet(Y,join(meet(X_112,Y),meet(X_114,join(X_112,Y))))) != join(meet(Y,X_114),meet(X_112,Y))
| join(meet(Y,X_112),join(meet(Y,X_114),meet(Y,join(meet(X_112,Y),meet(X_114,join(X_112,Y)))))) = join(meet(Y,X_112),join(meet(Y,X_114),meet(X_112,Y))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(Y,X_112),join(meet(Y,X_114),meet(Y,join(meet(X_112,Y),meet(X_114,join(X_112,Y)))))),join(meet(Y,X_112),join(meet(Y,X_114),meet(Y,join(meet(X_112,Y),meet(X_114,join(X_112,Y))))))) ),[1,1],$fot(join(meet(Y,X_114),meet(X_112,Y)))]]) ).
cnf(refute_0_99,plain,
( join(meet(Y,X_114),meet(Y,join(meet(X_112,Y),meet(X_114,join(X_112,Y))))) != join(meet(Y,X_114),meet(X_112,Y))
| join(meet(Y,X_112),join(meet(Y,X_114),meet(Y,join(meet(X_112,Y),meet(X_114,join(X_112,Y)))))) = join(meet(Y,X_112),join(meet(Y,X_114),meet(X_112,Y))) ),
inference(resolve,[$cnf( $equal(join(meet(Y,X_112),join(meet(Y,X_114),meet(Y,join(meet(X_112,Y),meet(X_114,join(X_112,Y)))))),join(meet(Y,X_112),join(meet(Y,X_114),meet(Y,join(meet(X_112,Y),meet(X_114,join(X_112,Y))))))) )],[refute_0_97,refute_0_98]) ).
cnf(refute_0_100,plain,
join(meet(Y,X_112),join(meet(Y,X_114),meet(Y,join(meet(X_112,Y),meet(X_114,join(X_112,Y)))))) = join(meet(Y,X_112),join(meet(Y,X_114),meet(X_112,Y))),
inference(resolve,[$cnf( $equal(join(meet(Y,X_114),meet(Y,join(meet(X_112,Y),meet(X_114,join(X_112,Y))))),join(meet(Y,X_114),meet(X_112,Y))) )],[refute_0_96,refute_0_99]) ).
cnf(refute_0_101,plain,
( join(meet(Y,X_112),join(meet(Y,X_114),meet(Y,join(meet(X_112,Y),meet(X_114,join(X_112,Y)))))) != join(meet(Y,X_112),join(meet(Y,X_114),meet(X_112,Y)))
| join(meet(Y,X_112),join(meet(Y,X_114),meet(X_112,Y))) != join(meet(Y,X_112),meet(Y,X_114))
| join(meet(Y,X_112),join(meet(Y,X_114),meet(Y,join(meet(X_112,Y),meet(X_114,join(X_112,Y)))))) = join(meet(Y,X_112),meet(Y,X_114)) ),
inference(subst,[],[refute_0_93:[bind(X0,$fot(join(meet(Y,X_112),join(meet(Y,X_114),meet(Y,join(meet(X_112,Y),meet(X_114,join(X_112,Y)))))))),bind(Y0,$fot(join(meet(Y,X_112),join(meet(Y,X_114),meet(X_112,Y))))),bind(Z0,$fot(join(meet(Y,X_112),meet(Y,X_114))))]]) ).
cnf(refute_0_102,plain,
( join(meet(Y,X_112),join(meet(Y,X_114),meet(X_112,Y))) != join(meet(Y,X_112),meet(Y,X_114))
| join(meet(Y,X_112),join(meet(Y,X_114),meet(Y,join(meet(X_112,Y),meet(X_114,join(X_112,Y)))))) = join(meet(Y,X_112),meet(Y,X_114)) ),
inference(resolve,[$cnf( $equal(join(meet(Y,X_112),join(meet(Y,X_114),meet(Y,join(meet(X_112,Y),meet(X_114,join(X_112,Y)))))),join(meet(Y,X_112),join(meet(Y,X_114),meet(X_112,Y)))) )],[refute_0_100,refute_0_101]) ).
cnf(refute_0_103,plain,
join(meet(Y,X_112),join(meet(Y,X_114),meet(Y,join(meet(X_112,Y),meet(X_114,join(X_112,Y)))))) = join(meet(Y,X_112),meet(Y,X_114)),
inference(resolve,[$cnf( $equal(join(meet(Y,X_112),join(meet(Y,X_114),meet(X_112,Y))),join(meet(Y,X_112),meet(Y,X_114))) )],[refute_0_77,refute_0_102]) ).
cnf(refute_0_104,plain,
join(join(X_30,join(Y,X_30)),X_32) = join(X_30,join(join(Y,X_30),X_32)),
inference(subst,[],[associativity_of_join:[bind(X,$fot(X_30)),bind(Y,$fot(join(Y,X_30))),bind(Z,$fot(X_32))]]) ).
cnf(refute_0_105,plain,
join(X_30,join(Y,X_30)) = join(X_30,Y),
inference(subst,[],[refute_0_86:[bind(X_9,$fot(X_30))]]) ).
cnf(refute_0_106,plain,
( join(X_30,join(Y,X_30)) != join(X_30,Y)
| join(join(X_30,join(Y,X_30)),X_32) != join(X_30,join(join(Y,X_30),X_32))
| join(join(X_30,Y),X_32) = join(X_30,join(join(Y,X_30),X_32)) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(X_30,join(Y,X_30)),X_32),join(X_30,join(join(Y,X_30),X_32))) ),[0,0],$fot(join(X_30,Y))]]) ).
cnf(refute_0_107,plain,
( join(join(X_30,join(Y,X_30)),X_32) != join(X_30,join(join(Y,X_30),X_32))
| join(join(X_30,Y),X_32) = join(X_30,join(join(Y,X_30),X_32)) ),
inference(resolve,[$cnf( $equal(join(X_30,join(Y,X_30)),join(X_30,Y)) )],[refute_0_105,refute_0_106]) ).
cnf(refute_0_108,plain,
join(join(X_30,Y),X_32) = join(X_30,join(join(Y,X_30),X_32)),
inference(resolve,[$cnf( $equal(join(join(X_30,join(Y,X_30)),X_32),join(X_30,join(join(Y,X_30),X_32))) )],[refute_0_104,refute_0_107]) ).
cnf(refute_0_109,plain,
join(join(X_30,Y),X_32) = join(X_30,join(Y,X_32)),
inference(subst,[],[associativity_of_join:[bind(X,$fot(X_30)),bind(Z,$fot(X_32))]]) ).
cnf(refute_0_110,plain,
( join(join(X_30,Y),X_32) != join(X_30,join(Y,X_32))
| join(join(X_30,Y),X_32) != join(X_30,join(join(Y,X_30),X_32))
| join(X_30,join(Y,X_32)) = join(X_30,join(join(Y,X_30),X_32)) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(X_30,Y),X_32),join(X_30,join(join(Y,X_30),X_32))) ),[0],$fot(join(X_30,join(Y,X_32)))]]) ).
cnf(refute_0_111,plain,
( join(join(X_30,Y),X_32) != join(X_30,join(join(Y,X_30),X_32))
| join(X_30,join(Y,X_32)) = join(X_30,join(join(Y,X_30),X_32)) ),
inference(resolve,[$cnf( $equal(join(join(X_30,Y),X_32),join(X_30,join(Y,X_32))) )],[refute_0_109,refute_0_110]) ).
cnf(refute_0_112,plain,
join(join(Y,X_30),X_32) = join(Y,join(X_30,X_32)),
inference(subst,[],[associativity_of_join:[bind(X,$fot(Y)),bind(Y,$fot(X_30)),bind(Z,$fot(X_32))]]) ).
cnf(refute_0_113,plain,
join(X_30,join(join(Y,X_30),X_32)) = join(X_30,join(join(Y,X_30),X_32)),
introduced(tautology,[refl,[$fot(join(X_30,join(join(Y,X_30),X_32)))]]) ).
cnf(refute_0_114,plain,
( join(X_30,join(join(Y,X_30),X_32)) != join(X_30,join(join(Y,X_30),X_32))
| join(join(Y,X_30),X_32) != join(Y,join(X_30,X_32))
| join(X_30,join(join(Y,X_30),X_32)) = join(X_30,join(Y,join(X_30,X_32))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_30,join(join(Y,X_30),X_32)),join(X_30,join(join(Y,X_30),X_32))) ),[1,1],$fot(join(Y,join(X_30,X_32)))]]) ).
cnf(refute_0_115,plain,
( join(join(Y,X_30),X_32) != join(Y,join(X_30,X_32))
| join(X_30,join(join(Y,X_30),X_32)) = join(X_30,join(Y,join(X_30,X_32))) ),
inference(resolve,[$cnf( $equal(join(X_30,join(join(Y,X_30),X_32)),join(X_30,join(join(Y,X_30),X_32))) )],[refute_0_113,refute_0_114]) ).
cnf(refute_0_116,plain,
join(X_30,join(join(Y,X_30),X_32)) = join(X_30,join(Y,join(X_30,X_32))),
inference(resolve,[$cnf( $equal(join(join(Y,X_30),X_32),join(Y,join(X_30,X_32))) )],[refute_0_112,refute_0_115]) ).
cnf(refute_0_117,plain,
( join(X_30,join(Y,X_32)) != join(X_30,join(join(Y,X_30),X_32))
| join(X_30,join(join(Y,X_30),X_32)) != join(X_30,join(Y,join(X_30,X_32)))
| join(X_30,join(Y,X_32)) = join(X_30,join(Y,join(X_30,X_32))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_30,join(Y,X_32)),join(X_30,join(Y,join(X_30,X_32)))) ),[0],$fot(join(X_30,join(join(Y,X_30),X_32)))]]) ).
cnf(refute_0_118,plain,
( join(X_30,join(Y,X_32)) != join(X_30,join(join(Y,X_30),X_32))
| join(X_30,join(Y,X_32)) = join(X_30,join(Y,join(X_30,X_32))) ),
inference(resolve,[$cnf( $equal(join(X_30,join(join(Y,X_30),X_32)),join(X_30,join(Y,join(X_30,X_32)))) )],[refute_0_116,refute_0_117]) ).
cnf(refute_0_119,plain,
( join(join(X_30,Y),X_32) != join(X_30,join(join(Y,X_30),X_32))
| join(X_30,join(Y,X_32)) = join(X_30,join(Y,join(X_30,X_32))) ),
inference(resolve,[$cnf( $equal(join(X_30,join(Y,X_32)),join(X_30,join(join(Y,X_30),X_32))) )],[refute_0_111,refute_0_118]) ).
cnf(refute_0_120,plain,
join(X_30,join(Y,X_32)) = join(X_30,join(Y,join(X_30,X_32))),
inference(resolve,[$cnf( $equal(join(join(X_30,Y),X_32),join(X_30,join(join(Y,X_30),X_32))) )],[refute_0_108,refute_0_119]) ).
cnf(refute_0_121,plain,
join(X_87,join(X_86,meet(X_70,X_69))) = join(X_87,join(X_86,join(X_87,meet(X_70,X_69)))),
inference(subst,[],[refute_0_120:[bind(Y,$fot(X_86)),bind(X_30,$fot(X_87)),bind(X_32,$fot(meet(X_70,X_69)))]]) ).
cnf(refute_0_122,plain,
join(X,join(X_30,X_31)) = join(join(X_30,X_31),X),
inference(subst,[],[commutativity_of_join:[bind(Y,$fot(join(X_30,X_31)))]]) ).
cnf(refute_0_123,plain,
join(join(X_30,X_31),X) = join(X_30,join(X_31,X)),
inference(subst,[],[associativity_of_join:[bind(X,$fot(X_30)),bind(Y,$fot(X_31)),bind(Z,$fot(X))]]) ).
cnf(refute_0_124,plain,
( join(X,join(X_30,X_31)) != join(join(X_30,X_31),X)
| join(join(X_30,X_31),X) != join(X_30,join(X_31,X))
| join(X,join(X_30,X_31)) = join(X_30,join(X_31,X)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X,join(X_30,X_31)),join(X_30,join(X_31,X))) ),[0],$fot(join(join(X_30,X_31),X))]]) ).
cnf(refute_0_125,plain,
( join(X,join(X_30,X_31)) != join(join(X_30,X_31),X)
| join(X,join(X_30,X_31)) = join(X_30,join(X_31,X)) ),
inference(resolve,[$cnf( $equal(join(join(X_30,X_31),X),join(X_30,join(X_31,X))) )],[refute_0_123,refute_0_124]) ).
cnf(refute_0_126,plain,
join(X,join(X_30,X_31)) = join(X_30,join(X_31,X)),
inference(resolve,[$cnf( $equal(join(X,join(X_30,X_31)),join(join(X_30,X_31),X)) )],[refute_0_122,refute_0_125]) ).
cnf(refute_0_127,plain,
join(meet(X_69,X_70),join(X_30,meet(X_70,X_69))) = join(X_30,join(meet(X_70,X_69),meet(X_69,X_70))),
inference(subst,[],[refute_0_126:[bind(X,$fot(meet(X_69,X_70))),bind(X_31,$fot(meet(X_70,X_69)))]]) ).
cnf(refute_0_128,plain,
join(meet(X_70,X_69),meet(X_69,X_70)) = meet(X_70,X_69),
inference(subst,[],[refute_0_30:[bind(Y,$fot(X_69)),bind(X_18,$fot(X_70))]]) ).
cnf(refute_0_129,plain,
( join(meet(X_69,X_70),join(X_30,meet(X_70,X_69))) != join(X_30,join(meet(X_70,X_69),meet(X_69,X_70)))
| join(meet(X_70,X_69),meet(X_69,X_70)) != meet(X_70,X_69)
| join(meet(X_69,X_70),join(X_30,meet(X_70,X_69))) = join(X_30,meet(X_70,X_69)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_69,X_70),join(X_30,meet(X_70,X_69))),join(X_30,join(meet(X_70,X_69),meet(X_69,X_70)))) ),[1,1],$fot(meet(X_70,X_69))]]) ).
cnf(refute_0_130,plain,
( join(meet(X_69,X_70),join(X_30,meet(X_70,X_69))) != join(X_30,join(meet(X_70,X_69),meet(X_69,X_70)))
| join(meet(X_69,X_70),join(X_30,meet(X_70,X_69))) = join(X_30,meet(X_70,X_69)) ),
inference(resolve,[$cnf( $equal(join(meet(X_70,X_69),meet(X_69,X_70)),meet(X_70,X_69)) )],[refute_0_128,refute_0_129]) ).
cnf(refute_0_131,plain,
join(meet(X_69,X_70),join(X_30,meet(X_70,X_69))) = join(X_30,meet(X_70,X_69)),
inference(resolve,[$cnf( $equal(join(meet(X_69,X_70),join(X_30,meet(X_70,X_69))),join(X_30,join(meet(X_70,X_69),meet(X_69,X_70)))) )],[refute_0_127,refute_0_130]) ).
cnf(refute_0_132,plain,
join(meet(X_69,X_70),join(X_30,meet(X_70,X_69))) = join(meet(X_69,X_70),X_30),
inference(subst,[],[refute_0_76:[bind(Y,$fot(X_69)),bind(X_63,$fot(X_30)),bind(X_64,$fot(X_70))]]) ).
cnf(refute_0_133,plain,
( join(meet(X_69,X_70),join(X_30,meet(X_70,X_69))) != join(X_30,meet(X_70,X_69))
| join(meet(X_69,X_70),join(X_30,meet(X_70,X_69))) != join(meet(X_69,X_70),X_30)
| join(meet(X_69,X_70),X_30) = join(X_30,meet(X_70,X_69)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_69,X_70),join(X_30,meet(X_70,X_69))),join(X_30,meet(X_70,X_69))) ),[0],$fot(join(meet(X_69,X_70),X_30))]]) ).
cnf(refute_0_134,plain,
( join(meet(X_69,X_70),join(X_30,meet(X_70,X_69))) != join(X_30,meet(X_70,X_69))
| join(meet(X_69,X_70),X_30) = join(X_30,meet(X_70,X_69)) ),
inference(resolve,[$cnf( $equal(join(meet(X_69,X_70),join(X_30,meet(X_70,X_69))),join(meet(X_69,X_70),X_30)) )],[refute_0_132,refute_0_133]) ).
cnf(refute_0_135,plain,
join(meet(X_69,X_70),X_30) = join(X_30,meet(X_70,X_69)),
inference(resolve,[$cnf( $equal(join(meet(X_69,X_70),join(X_30,meet(X_70,X_69))),join(X_30,meet(X_70,X_69))) )],[refute_0_131,refute_0_134]) ).
cnf(refute_0_136,plain,
join(meet(X_69,X_70),X_87) = join(X_87,meet(X_70,X_69)),
inference(subst,[],[refute_0_135:[bind(X_30,$fot(X_87))]]) ).
cnf(refute_0_137,plain,
( join(meet(X_69,X_70),X_87) != join(X_87,meet(X_70,X_69))
| join(X_87,meet(X_70,X_69)) = join(meet(X_69,X_70),X_87) ),
inference(subst,[],[refute_0_16:[bind(X0,$fot(join(meet(X_69,X_70),X_87))),bind(Y0,$fot(join(X_87,meet(X_70,X_69))))]]) ).
cnf(refute_0_138,plain,
join(X_87,meet(X_70,X_69)) = join(meet(X_69,X_70),X_87),
inference(resolve,[$cnf( $equal(join(meet(X_69,X_70),X_87),join(X_87,meet(X_70,X_69))) )],[refute_0_136,refute_0_137]) ).
cnf(refute_0_139,plain,
( join(X_87,join(X_86,meet(X_70,X_69))) != join(X_87,join(X_86,join(X_87,meet(X_70,X_69))))
| join(X_87,meet(X_70,X_69)) != join(meet(X_69,X_70),X_87)
| join(X_87,join(X_86,meet(X_70,X_69))) = join(X_87,join(X_86,join(meet(X_69,X_70),X_87))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_87,join(X_86,meet(X_70,X_69))),join(X_87,join(X_86,join(X_87,meet(X_70,X_69))))) ),[1,1,1],$fot(join(meet(X_69,X_70),X_87))]]) ).
cnf(refute_0_140,plain,
( join(X_87,join(X_86,meet(X_70,X_69))) != join(X_87,join(X_86,join(X_87,meet(X_70,X_69))))
| join(X_87,join(X_86,meet(X_70,X_69))) = join(X_87,join(X_86,join(meet(X_69,X_70),X_87))) ),
inference(resolve,[$cnf( $equal(join(X_87,meet(X_70,X_69)),join(meet(X_69,X_70),X_87)) )],[refute_0_138,refute_0_139]) ).
cnf(refute_0_141,plain,
join(X_87,join(X_86,meet(X_70,X_69))) = join(X_87,join(X_86,join(meet(X_69,X_70),X_87))),
inference(resolve,[$cnf( $equal(join(X_87,join(X_86,meet(X_70,X_69))),join(X_87,join(X_86,join(X_87,meet(X_70,X_69))))) )],[refute_0_121,refute_0_140]) ).
cnf(refute_0_142,plain,
join(X_9,join(join(X_30,X_31),X_9)) = join(X_9,join(X_30,X_31)),
inference(subst,[],[refute_0_86:[bind(Y,$fot(join(X_30,X_31)))]]) ).
cnf(refute_0_143,plain,
join(join(X_30,X_31),X_9) = join(X_30,join(X_31,X_9)),
inference(subst,[],[associativity_of_join:[bind(X,$fot(X_30)),bind(Y,$fot(X_31)),bind(Z,$fot(X_9))]]) ).
cnf(refute_0_144,plain,
( join(X_9,join(join(X_30,X_31),X_9)) != join(X_9,join(X_30,X_31))
| join(join(X_30,X_31),X_9) != join(X_30,join(X_31,X_9))
| join(X_9,join(X_30,join(X_31,X_9))) = join(X_9,join(X_30,X_31)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_9,join(join(X_30,X_31),X_9)),join(X_9,join(X_30,X_31))) ),[0,1],$fot(join(X_30,join(X_31,X_9)))]]) ).
cnf(refute_0_145,plain,
( join(X_9,join(join(X_30,X_31),X_9)) != join(X_9,join(X_30,X_31))
| join(X_9,join(X_30,join(X_31,X_9))) = join(X_9,join(X_30,X_31)) ),
inference(resolve,[$cnf( $equal(join(join(X_30,X_31),X_9),join(X_30,join(X_31,X_9))) )],[refute_0_143,refute_0_144]) ).
cnf(refute_0_146,plain,
join(X_9,join(X_30,join(X_31,X_9))) = join(X_9,join(X_30,X_31)),
inference(resolve,[$cnf( $equal(join(X_9,join(join(X_30,X_31),X_9)),join(X_9,join(X_30,X_31))) )],[refute_0_142,refute_0_145]) ).
cnf(refute_0_147,plain,
join(X_87,join(X_86,join(meet(X_69,X_70),X_87))) = join(X_87,join(X_86,meet(X_69,X_70))),
inference(subst,[],[refute_0_146:[bind(X_30,$fot(X_86)),bind(X_31,$fot(meet(X_69,X_70))),bind(X_9,$fot(X_87))]]) ).
cnf(refute_0_148,plain,
( join(X_87,join(X_86,join(meet(X_69,X_70),X_87))) != join(X_87,join(X_86,meet(X_69,X_70)))
| join(X_87,join(X_86,meet(X_70,X_69))) != join(X_87,join(X_86,join(meet(X_69,X_70),X_87)))
| join(X_87,join(X_86,meet(X_70,X_69))) = join(X_87,join(X_86,meet(X_69,X_70))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_87,join(X_86,meet(X_70,X_69))),join(X_87,join(X_86,join(meet(X_69,X_70),X_87)))) ),[1],$fot(join(X_87,join(X_86,meet(X_69,X_70))))]]) ).
cnf(refute_0_149,plain,
( join(X_87,join(X_86,meet(X_70,X_69))) != join(X_87,join(X_86,join(meet(X_69,X_70),X_87)))
| join(X_87,join(X_86,meet(X_70,X_69))) = join(X_87,join(X_86,meet(X_69,X_70))) ),
inference(resolve,[$cnf( $equal(join(X_87,join(X_86,join(meet(X_69,X_70),X_87))),join(X_87,join(X_86,meet(X_69,X_70)))) )],[refute_0_147,refute_0_148]) ).
cnf(refute_0_150,plain,
join(X_87,join(X_86,meet(X_70,X_69))) = join(X_87,join(X_86,meet(X_69,X_70))),
inference(resolve,[$cnf( $equal(join(X_87,join(X_86,meet(X_70,X_69))),join(X_87,join(X_86,join(meet(X_69,X_70),X_87)))) )],[refute_0_141,refute_0_149]) ).
cnf(refute_0_151,plain,
( join(X_87,join(X_86,meet(X_70,X_69))) != join(X_87,join(X_86,meet(X_69,X_70)))
| join(X_87,join(X_86,meet(X_69,X_70))) = join(X_87,join(X_86,meet(X_70,X_69))) ),
inference(subst,[],[refute_0_16:[bind(X0,$fot(join(X_87,join(X_86,meet(X_70,X_69))))),bind(Y0,$fot(join(X_87,join(X_86,meet(X_69,X_70)))))]]) ).
cnf(refute_0_152,plain,
join(X_87,join(X_86,meet(X_69,X_70))) = join(X_87,join(X_86,meet(X_70,X_69))),
inference(resolve,[$cnf( $equal(join(X_87,join(X_86,meet(X_70,X_69))),join(X_87,join(X_86,meet(X_69,X_70)))) )],[refute_0_150,refute_0_151]) ).
cnf(refute_0_153,plain,
join(meet(Y,X_112),join(meet(Y,X_114),meet(join(meet(X_112,Y),meet(X_114,join(X_112,Y))),Y))) = join(meet(Y,X_112),join(meet(Y,X_114),meet(Y,join(meet(X_112,Y),meet(X_114,join(X_112,Y)))))),
inference(subst,[],[refute_0_152:[bind(X_69,$fot(join(meet(X_112,Y),meet(X_114,join(X_112,Y))))),bind(X_70,$fot(Y)),bind(X_86,$fot(meet(Y,X_114))),bind(X_87,$fot(meet(Y,X_112)))]]) ).
cnf(refute_0_154,plain,
join(X_57,join(X_58,X_59)) = join(X_58,join(X_59,X_57)),
inference(subst,[],[refute_0_126:[bind(X,$fot(X_57)),bind(X_30,$fot(X_58)),bind(X_31,$fot(X_59))]]) ).
cnf(refute_0_155,plain,
join(X_59,X_58) = join(X_58,X_59),
inference(subst,[],[commutativity_of_join:[bind(X,$fot(X_59)),bind(Y,$fot(X_58))]]) ).
cnf(refute_0_156,plain,
( join(X_59,X_58) != join(X_58,X_59)
| join(X_58,X_59) = join(X_59,X_58) ),
inference(subst,[],[refute_0_16:[bind(X0,$fot(join(X_59,X_58))),bind(Y0,$fot(join(X_58,X_59)))]]) ).
cnf(refute_0_157,plain,
join(X_58,X_59) = join(X_59,X_58),
inference(resolve,[$cnf( $equal(join(X_59,X_58),join(X_58,X_59)) )],[refute_0_155,refute_0_156]) ).
cnf(refute_0_158,plain,
( join(X_57,join(X_58,X_59)) != join(X_58,join(X_59,X_57))
| join(X_58,X_59) != join(X_59,X_58)
| join(X_57,join(X_59,X_58)) = join(X_58,join(X_59,X_57)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_57,join(X_58,X_59)),join(X_58,join(X_59,X_57))) ),[0,1],$fot(join(X_59,X_58))]]) ).
cnf(refute_0_159,plain,
( join(X_57,join(X_58,X_59)) != join(X_58,join(X_59,X_57))
| join(X_57,join(X_59,X_58)) = join(X_58,join(X_59,X_57)) ),
inference(resolve,[$cnf( $equal(join(X_58,X_59),join(X_59,X_58)) )],[refute_0_157,refute_0_158]) ).
cnf(refute_0_160,plain,
join(X_57,join(X_59,X_58)) = join(X_58,join(X_59,X_57)),
inference(resolve,[$cnf( $equal(join(X_57,join(X_58,X_59)),join(X_58,join(X_59,X_57))) )],[refute_0_154,refute_0_159]) ).
cnf(refute_0_161,plain,
join(X_109,join(X_111,meet(X_70,X_69))) = join(meet(X_70,X_69),join(X_111,X_109)),
inference(subst,[],[refute_0_160:[bind(X_57,$fot(X_109)),bind(X_58,$fot(meet(X_70,X_69))),bind(X_59,$fot(X_111))]]) ).
cnf(refute_0_162,plain,
join(meet(X_69,X_70),X_111) = join(X_111,meet(X_70,X_69)),
inference(subst,[],[refute_0_135:[bind(X_30,$fot(X_111))]]) ).
cnf(refute_0_163,plain,
( join(meet(X_69,X_70),X_111) != join(X_111,meet(X_70,X_69))
| join(X_111,meet(X_70,X_69)) = join(meet(X_69,X_70),X_111) ),
inference(subst,[],[refute_0_16:[bind(X0,$fot(join(meet(X_69,X_70),X_111))),bind(Y0,$fot(join(X_111,meet(X_70,X_69))))]]) ).
cnf(refute_0_164,plain,
join(X_111,meet(X_70,X_69)) = join(meet(X_69,X_70),X_111),
inference(resolve,[$cnf( $equal(join(meet(X_69,X_70),X_111),join(X_111,meet(X_70,X_69))) )],[refute_0_162,refute_0_163]) ).
cnf(refute_0_165,plain,
( join(X_109,join(X_111,meet(X_70,X_69))) != join(meet(X_70,X_69),join(X_111,X_109))
| join(X_111,meet(X_70,X_69)) != join(meet(X_69,X_70),X_111)
| join(X_109,join(meet(X_69,X_70),X_111)) = join(meet(X_70,X_69),join(X_111,X_109)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_109,join(X_111,meet(X_70,X_69))),join(meet(X_70,X_69),join(X_111,X_109))) ),[0,1],$fot(join(meet(X_69,X_70),X_111))]]) ).
cnf(refute_0_166,plain,
( join(X_109,join(X_111,meet(X_70,X_69))) != join(meet(X_70,X_69),join(X_111,X_109))
| join(X_109,join(meet(X_69,X_70),X_111)) = join(meet(X_70,X_69),join(X_111,X_109)) ),
inference(resolve,[$cnf( $equal(join(X_111,meet(X_70,X_69)),join(meet(X_69,X_70),X_111)) )],[refute_0_164,refute_0_165]) ).
cnf(refute_0_167,plain,
join(X_109,join(meet(X_69,X_70),X_111)) = join(meet(X_70,X_69),join(X_111,X_109)),
inference(resolve,[$cnf( $equal(join(X_109,join(X_111,meet(X_70,X_69))),join(meet(X_70,X_69),join(X_111,X_109))) )],[refute_0_161,refute_0_166]) ).
cnf(refute_0_168,plain,
join(meet(join(meet(X_112,Y),meet(X_114,join(X_112,Y))),Y),join(meet(X_112,Y),meet(Y,X_114))) = join(meet(Y,X_112),join(meet(Y,X_114),meet(join(meet(X_112,Y),meet(X_114,join(X_112,Y))),Y))),
inference(subst,[],[refute_0_167:[bind(X_109,$fot(meet(join(meet(X_112,Y),meet(X_114,join(X_112,Y))),Y))),bind(X_111,$fot(meet(Y,X_114))),bind(X_69,$fot(X_112)),bind(X_70,$fot(Y))]]) ).
cnf(refute_0_169,plain,
( join(meet(Y,X_112),join(meet(Y,X_114),meet(join(meet(X_112,Y),meet(X_114,join(X_112,Y))),Y))) != join(meet(Y,X_112),join(meet(Y,X_114),meet(Y,join(meet(X_112,Y),meet(X_114,join(X_112,Y))))))
| join(meet(join(meet(X_112,Y),meet(X_114,join(X_112,Y))),Y),join(meet(X_112,Y),meet(Y,X_114))) != join(meet(Y,X_112),join(meet(Y,X_114),meet(join(meet(X_112,Y),meet(X_114,join(X_112,Y))),Y)))
| join(meet(join(meet(X_112,Y),meet(X_114,join(X_112,Y))),Y),join(meet(X_112,Y),meet(Y,X_114))) = join(meet(Y,X_112),join(meet(Y,X_114),meet(Y,join(meet(X_112,Y),meet(X_114,join(X_112,Y)))))) ),
inference(subst,[],[refute_0_93:[bind(X0,$fot(join(meet(join(meet(X_112,Y),meet(X_114,join(X_112,Y))),Y),join(meet(X_112,Y),meet(Y,X_114))))),bind(Y0,$fot(join(meet(Y,X_112),join(meet(Y,X_114),meet(join(meet(X_112,Y),meet(X_114,join(X_112,Y))),Y))))),bind(Z0,$fot(join(meet(Y,X_112),join(meet(Y,X_114),meet(Y,join(meet(X_112,Y),meet(X_114,join(X_112,Y))))))))]]) ).
cnf(refute_0_170,plain,
( join(meet(Y,X_112),join(meet(Y,X_114),meet(join(meet(X_112,Y),meet(X_114,join(X_112,Y))),Y))) != join(meet(Y,X_112),join(meet(Y,X_114),meet(Y,join(meet(X_112,Y),meet(X_114,join(X_112,Y))))))
| join(meet(join(meet(X_112,Y),meet(X_114,join(X_112,Y))),Y),join(meet(X_112,Y),meet(Y,X_114))) = join(meet(Y,X_112),join(meet(Y,X_114),meet(Y,join(meet(X_112,Y),meet(X_114,join(X_112,Y)))))) ),
inference(resolve,[$cnf( $equal(join(meet(join(meet(X_112,Y),meet(X_114,join(X_112,Y))),Y),join(meet(X_112,Y),meet(Y,X_114))),join(meet(Y,X_112),join(meet(Y,X_114),meet(join(meet(X_112,Y),meet(X_114,join(X_112,Y))),Y)))) )],[refute_0_168,refute_0_169]) ).
cnf(refute_0_171,plain,
join(meet(join(meet(X_112,Y),meet(X_114,join(X_112,Y))),Y),join(meet(X_112,Y),meet(Y,X_114))) = join(meet(Y,X_112),join(meet(Y,X_114),meet(Y,join(meet(X_112,Y),meet(X_114,join(X_112,Y)))))),
inference(resolve,[$cnf( $equal(join(meet(Y,X_112),join(meet(Y,X_114),meet(join(meet(X_112,Y),meet(X_114,join(X_112,Y))),Y))),join(meet(Y,X_112),join(meet(Y,X_114),meet(Y,join(meet(X_112,Y),meet(X_114,join(X_112,Y))))))) )],[refute_0_153,refute_0_170]) ).
cnf(refute_0_172,plain,
( join(meet(Y,X_112),join(meet(Y,X_114),meet(Y,join(meet(X_112,Y),meet(X_114,join(X_112,Y)))))) != join(meet(Y,X_112),meet(Y,X_114))
| join(meet(join(meet(X_112,Y),meet(X_114,join(X_112,Y))),Y),join(meet(X_112,Y),meet(Y,X_114))) != join(meet(Y,X_112),join(meet(Y,X_114),meet(Y,join(meet(X_112,Y),meet(X_114,join(X_112,Y))))))
| join(meet(join(meet(X_112,Y),meet(X_114,join(X_112,Y))),Y),join(meet(X_112,Y),meet(Y,X_114))) = join(meet(Y,X_112),meet(Y,X_114)) ),
inference(subst,[],[refute_0_93:[bind(X0,$fot(join(meet(join(meet(X_112,Y),meet(X_114,join(X_112,Y))),Y),join(meet(X_112,Y),meet(Y,X_114))))),bind(Y0,$fot(join(meet(Y,X_112),join(meet(Y,X_114),meet(Y,join(meet(X_112,Y),meet(X_114,join(X_112,Y)))))))),bind(Z0,$fot(join(meet(Y,X_112),meet(Y,X_114))))]]) ).
cnf(refute_0_173,plain,
( join(meet(Y,X_112),join(meet(Y,X_114),meet(Y,join(meet(X_112,Y),meet(X_114,join(X_112,Y)))))) != join(meet(Y,X_112),meet(Y,X_114))
| join(meet(join(meet(X_112,Y),meet(X_114,join(X_112,Y))),Y),join(meet(X_112,Y),meet(Y,X_114))) = join(meet(Y,X_112),meet(Y,X_114)) ),
inference(resolve,[$cnf( $equal(join(meet(join(meet(X_112,Y),meet(X_114,join(X_112,Y))),Y),join(meet(X_112,Y),meet(Y,X_114))),join(meet(Y,X_112),join(meet(Y,X_114),meet(Y,join(meet(X_112,Y),meet(X_114,join(X_112,Y))))))) )],[refute_0_171,refute_0_172]) ).
cnf(refute_0_174,plain,
join(meet(join(meet(X_112,Y),meet(X_114,join(X_112,Y))),Y),join(meet(X_112,Y),meet(Y,X_114))) = join(meet(Y,X_112),meet(Y,X_114)),
inference(resolve,[$cnf( $equal(join(meet(Y,X_112),join(meet(Y,X_114),meet(Y,join(meet(X_112,Y),meet(X_114,join(X_112,Y)))))),join(meet(Y,X_112),meet(Y,X_114))) )],[refute_0_103,refute_0_173]) ).
cnf(refute_0_175,plain,
( join(meet(join(meet(X_112,Y),meet(X_114,join(X_112,Y))),Y),join(meet(X_112,Y),meet(Y,X_114))) != join(meet(Y,X_112),meet(Y,X_114))
| join(meet(join(meet(X_112,Y),meet(X_114,join(X_112,Y))),Y),join(meet(X_112,Y),meet(Y,X_114))) != meet(join(meet(X_112,Y),meet(X_114,join(X_112,Y))),Y)
| join(meet(Y,X_112),meet(Y,X_114)) = meet(join(meet(X_112,Y),meet(X_114,join(X_112,Y))),Y) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(join(meet(X_112,Y),meet(X_114,join(X_112,Y))),Y),join(meet(X_112,Y),meet(Y,X_114))),meet(join(meet(X_112,Y),meet(X_114,join(X_112,Y))),Y)) ),[0],$fot(join(meet(Y,X_112),meet(Y,X_114)))]]) ).
cnf(refute_0_176,plain,
( join(meet(join(meet(X_112,Y),meet(X_114,join(X_112,Y))),Y),join(meet(X_112,Y),meet(Y,X_114))) != meet(join(meet(X_112,Y),meet(X_114,join(X_112,Y))),Y)
| join(meet(Y,X_112),meet(Y,X_114)) = meet(join(meet(X_112,Y),meet(X_114,join(X_112,Y))),Y) ),
inference(resolve,[$cnf( $equal(join(meet(join(meet(X_112,Y),meet(X_114,join(X_112,Y))),Y),join(meet(X_112,Y),meet(Y,X_114))),join(meet(Y,X_112),meet(Y,X_114))) )],[refute_0_174,refute_0_175]) ).
cnf(refute_0_177,plain,
meet(meet(X_26,meet(X_27,Y)),join(Y,meet(X_26,meet(X_27,Y)))) = meet(X_26,meet(X_27,Y)),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(X_26,meet(X_27,Y))))]]) ).
cnf(refute_0_178,plain,
join(Y,meet(X_26,meet(X_27,Y))) = Y,
inference(subst,[],[refute_0_62:[bind(X,$fot(Y)),bind(X_22,$fot(X_26)),bind(X_23,$fot(X_27))]]) ).
cnf(refute_0_179,plain,
( join(Y,meet(X_26,meet(X_27,Y))) != Y
| meet(meet(X_26,meet(X_27,Y)),join(Y,meet(X_26,meet(X_27,Y)))) != meet(X_26,meet(X_27,Y))
| meet(meet(X_26,meet(X_27,Y)),Y) = meet(X_26,meet(X_27,Y)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_26,meet(X_27,Y)),join(Y,meet(X_26,meet(X_27,Y)))),meet(X_26,meet(X_27,Y))) ),[0,1],$fot(Y)]]) ).
cnf(refute_0_180,plain,
( meet(meet(X_26,meet(X_27,Y)),join(Y,meet(X_26,meet(X_27,Y)))) != meet(X_26,meet(X_27,Y))
| meet(meet(X_26,meet(X_27,Y)),Y) = meet(X_26,meet(X_27,Y)) ),
inference(resolve,[$cnf( $equal(join(Y,meet(X_26,meet(X_27,Y))),Y) )],[refute_0_178,refute_0_179]) ).
cnf(refute_0_181,plain,
meet(meet(X_26,meet(X_27,Y)),Y) = meet(X_26,meet(X_27,Y)),
inference(resolve,[$cnf( $equal(meet(meet(X_26,meet(X_27,Y)),join(Y,meet(X_26,meet(X_27,Y)))),meet(X_26,meet(X_27,Y))) )],[refute_0_177,refute_0_180]) ).
cnf(refute_0_182,plain,
meet(Y,meet(X_27,Y)) = meet(Y,X_27),
inference(subst,[],[refute_0_11:[bind(Y,$fot(X_27)),bind(X_15,$fot(Y))]]) ).
cnf(refute_0_183,plain,
meet(X_26,meet(Y,meet(X_27,Y))) = meet(X_26,meet(Y,meet(X_27,Y))),
introduced(tautology,[refl,[$fot(meet(X_26,meet(Y,meet(X_27,Y))))]]) ).
cnf(refute_0_184,plain,
( meet(Y,meet(X_27,Y)) != meet(Y,X_27)
| meet(X_26,meet(Y,meet(X_27,Y))) != meet(X_26,meet(Y,meet(X_27,Y)))
| meet(X_26,meet(Y,meet(X_27,Y))) = meet(X_26,meet(Y,X_27)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_26,meet(Y,meet(X_27,Y))),meet(X_26,meet(Y,meet(X_27,Y)))) ),[1,1],$fot(meet(Y,X_27))]]) ).
cnf(refute_0_185,plain,
( meet(Y,meet(X_27,Y)) != meet(Y,X_27)
| meet(X_26,meet(Y,meet(X_27,Y))) = meet(X_26,meet(Y,X_27)) ),
inference(resolve,[$cnf( $equal(meet(X_26,meet(Y,meet(X_27,Y))),meet(X_26,meet(Y,meet(X_27,Y)))) )],[refute_0_183,refute_0_184]) ).
cnf(refute_0_186,plain,
meet(X_26,meet(Y,meet(X_27,Y))) = meet(X_26,meet(Y,X_27)),
inference(resolve,[$cnf( $equal(meet(Y,meet(X_27,Y)),meet(Y,X_27)) )],[refute_0_182,refute_0_185]) ).
cnf(refute_0_187,plain,
meet(meet(X_22,X_23),X_24) = meet(X_22,meet(X_23,X_24)),
inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_22)),bind(Y,$fot(X_23)),bind(Z,$fot(X_24))]]) ).
cnf(refute_0_188,plain,
meet(X_24,X_23) = meet(X_23,X_24),
inference(subst,[],[commutativity_of_meet:[bind(X,$fot(X_24)),bind(Y,$fot(X_23))]]) ).
cnf(refute_0_189,plain,
( meet(X_24,X_23) != meet(X_23,X_24)
| meet(X_23,X_24) = meet(X_24,X_23) ),
inference(subst,[],[refute_0_16:[bind(X0,$fot(meet(X_24,X_23))),bind(Y0,$fot(meet(X_23,X_24)))]]) ).
cnf(refute_0_190,plain,
meet(X_23,X_24) = meet(X_24,X_23),
inference(resolve,[$cnf( $equal(meet(X_24,X_23),meet(X_23,X_24)) )],[refute_0_188,refute_0_189]) ).
cnf(refute_0_191,plain,
( meet(X_23,X_24) != meet(X_24,X_23)
| meet(meet(X_22,X_23),X_24) != meet(X_22,meet(X_23,X_24))
| meet(meet(X_22,X_23),X_24) = meet(X_22,meet(X_24,X_23)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_22,X_23),X_24),meet(X_22,meet(X_23,X_24))) ),[1,1],$fot(meet(X_24,X_23))]]) ).
cnf(refute_0_192,plain,
( meet(meet(X_22,X_23),X_24) != meet(X_22,meet(X_23,X_24))
| meet(meet(X_22,X_23),X_24) = meet(X_22,meet(X_24,X_23)) ),
inference(resolve,[$cnf( $equal(meet(X_23,X_24),meet(X_24,X_23)) )],[refute_0_190,refute_0_191]) ).
cnf(refute_0_193,plain,
meet(meet(X_22,X_23),X_24) = meet(X_22,meet(X_24,X_23)),
inference(resolve,[$cnf( $equal(meet(meet(X_22,X_23),X_24),meet(X_22,meet(X_23,X_24))) )],[refute_0_187,refute_0_192]) ).
cnf(refute_0_194,plain,
( meet(meet(X_22,X_23),X_24) != meet(X_22,meet(X_23,X_24))
| meet(meet(X_22,X_23),X_24) != meet(X_22,meet(X_24,X_23))
| meet(X_22,meet(X_23,X_24)) = meet(X_22,meet(X_24,X_23)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_22,X_23),X_24),meet(X_22,meet(X_24,X_23))) ),[0],$fot(meet(X_22,meet(X_23,X_24)))]]) ).
cnf(refute_0_195,plain,
( meet(meet(X_22,X_23),X_24) != meet(X_22,meet(X_24,X_23))
| meet(X_22,meet(X_23,X_24)) = meet(X_22,meet(X_24,X_23)) ),
inference(resolve,[$cnf( $equal(meet(meet(X_22,X_23),X_24),meet(X_22,meet(X_23,X_24))) )],[refute_0_187,refute_0_194]) ).
cnf(refute_0_196,plain,
meet(X_22,meet(X_23,X_24)) = meet(X_22,meet(X_24,X_23)),
inference(resolve,[$cnf( $equal(meet(meet(X_22,X_23),X_24),meet(X_22,meet(X_24,X_23))) )],[refute_0_193,refute_0_195]) ).
cnf(refute_0_197,plain,
( meet(X_22,meet(X_23,X_24)) != meet(X_22,meet(X_24,X_23))
| meet(X_22,meet(X_24,X_23)) = meet(X_22,meet(X_23,X_24)) ),
inference(subst,[],[refute_0_16:[bind(X0,$fot(meet(X_22,meet(X_23,X_24)))),bind(Y0,$fot(meet(X_22,meet(X_24,X_23))))]]) ).
cnf(refute_0_198,plain,
meet(X_22,meet(X_24,X_23)) = meet(X_22,meet(X_23,X_24)),
inference(resolve,[$cnf( $equal(meet(X_22,meet(X_23,X_24)),meet(X_22,meet(X_24,X_23))) )],[refute_0_196,refute_0_197]) ).
cnf(refute_0_199,plain,
meet(X_26,meet(meet(X_27,Y),Y)) = meet(X_26,meet(Y,meet(X_27,Y))),
inference(subst,[],[refute_0_198:[bind(X_22,$fot(X_26)),bind(X_23,$fot(Y)),bind(X_24,$fot(meet(X_27,Y)))]]) ).
cnf(refute_0_200,plain,
meet(meet(X_26,meet(X_27,Y)),Y) = meet(X_26,meet(meet(X_27,Y),Y)),
inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_26)),bind(Y,$fot(meet(X_27,Y))),bind(Z,$fot(Y))]]) ).
cnf(refute_0_201,plain,
( meet(X_26,meet(meet(X_27,Y),Y)) != meet(X_26,meet(Y,meet(X_27,Y)))
| meet(meet(X_26,meet(X_27,Y)),Y) != meet(X_26,meet(meet(X_27,Y),Y))
| meet(meet(X_26,meet(X_27,Y)),Y) = meet(X_26,meet(Y,meet(X_27,Y))) ),
inference(subst,[],[refute_0_93:[bind(X0,$fot(meet(meet(X_26,meet(X_27,Y)),Y))),bind(Y0,$fot(meet(X_26,meet(meet(X_27,Y),Y)))),bind(Z0,$fot(meet(X_26,meet(Y,meet(X_27,Y)))))]]) ).
cnf(refute_0_202,plain,
( meet(X_26,meet(meet(X_27,Y),Y)) != meet(X_26,meet(Y,meet(X_27,Y)))
| meet(meet(X_26,meet(X_27,Y)),Y) = meet(X_26,meet(Y,meet(X_27,Y))) ),
inference(resolve,[$cnf( $equal(meet(meet(X_26,meet(X_27,Y)),Y),meet(X_26,meet(meet(X_27,Y),Y))) )],[refute_0_200,refute_0_201]) ).
cnf(refute_0_203,plain,
meet(meet(X_26,meet(X_27,Y)),Y) = meet(X_26,meet(Y,meet(X_27,Y))),
inference(resolve,[$cnf( $equal(meet(X_26,meet(meet(X_27,Y),Y)),meet(X_26,meet(Y,meet(X_27,Y)))) )],[refute_0_199,refute_0_202]) ).
cnf(refute_0_204,plain,
( meet(X_26,meet(Y,meet(X_27,Y))) != meet(X_26,meet(Y,X_27))
| meet(meet(X_26,meet(X_27,Y)),Y) != meet(X_26,meet(Y,meet(X_27,Y)))
| meet(meet(X_26,meet(X_27,Y)),Y) = meet(X_26,meet(Y,X_27)) ),
inference(subst,[],[refute_0_93:[bind(X0,$fot(meet(meet(X_26,meet(X_27,Y)),Y))),bind(Y0,$fot(meet(X_26,meet(Y,meet(X_27,Y))))),bind(Z0,$fot(meet(X_26,meet(Y,X_27))))]]) ).
cnf(refute_0_205,plain,
( meet(X_26,meet(Y,meet(X_27,Y))) != meet(X_26,meet(Y,X_27))
| meet(meet(X_26,meet(X_27,Y)),Y) = meet(X_26,meet(Y,X_27)) ),
inference(resolve,[$cnf( $equal(meet(meet(X_26,meet(X_27,Y)),Y),meet(X_26,meet(Y,meet(X_27,Y)))) )],[refute_0_203,refute_0_204]) ).
cnf(refute_0_206,plain,
meet(meet(X_26,meet(X_27,Y)),Y) = meet(X_26,meet(Y,X_27)),
inference(resolve,[$cnf( $equal(meet(X_26,meet(Y,meet(X_27,Y))),meet(X_26,meet(Y,X_27))) )],[refute_0_186,refute_0_205]) ).
cnf(refute_0_207,plain,
( meet(meet(X_26,meet(X_27,Y)),Y) != meet(X_26,meet(Y,X_27))
| meet(meet(X_26,meet(X_27,Y)),Y) != meet(X_26,meet(X_27,Y))
| meet(X_26,meet(Y,X_27)) = meet(X_26,meet(X_27,Y)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_26,meet(X_27,Y)),Y),meet(X_26,meet(X_27,Y))) ),[0],$fot(meet(X_26,meet(Y,X_27)))]]) ).
cnf(refute_0_208,plain,
( meet(meet(X_26,meet(X_27,Y)),Y) != meet(X_26,meet(X_27,Y))
| meet(X_26,meet(Y,X_27)) = meet(X_26,meet(X_27,Y)) ),
inference(resolve,[$cnf( $equal(meet(meet(X_26,meet(X_27,Y)),Y),meet(X_26,meet(Y,X_27))) )],[refute_0_206,refute_0_207]) ).
cnf(refute_0_209,plain,
meet(X_26,meet(Y,X_27)) = meet(X_26,meet(X_27,Y)),
inference(resolve,[$cnf( $equal(meet(meet(X_26,meet(X_27,Y)),Y),meet(X_26,meet(X_27,Y))) )],[refute_0_181,refute_0_208]) ).
cnf(refute_0_210,plain,
meet(join(X_81,X_82),meet(Y,join(X_82,X_81))) = meet(join(X_81,X_82),meet(join(X_82,X_81),Y)),
inference(subst,[],[refute_0_209:[bind(X_26,$fot(join(X_81,X_82))),bind(X_27,$fot(join(X_82,X_81)))]]) ).
cnf(refute_0_211,plain,
meet(meet(join(X_28,X_29),join(X_29,X_28)),Z) = meet(join(X_28,X_29),meet(join(X_29,X_28),Z)),
inference(subst,[],[associativity_of_meet:[bind(X,$fot(join(X_28,X_29))),bind(Y,$fot(join(X_29,X_28)))]]) ).
cnf(refute_0_212,plain,
meet(join(Y,X_15),join(X_15,join(Y,X_15))) = join(Y,X_15),
inference(subst,[],[refute_0_2:[bind(X,$fot(join(Y,X_15))),bind(Y,$fot(X_15))]]) ).
cnf(refute_0_213,plain,
join(X_15,join(Y,X_15)) = join(X_15,Y),
inference(subst,[],[refute_0_86:[bind(X_9,$fot(X_15))]]) ).
cnf(refute_0_214,plain,
( join(X_15,join(Y,X_15)) != join(X_15,Y)
| meet(join(Y,X_15),join(X_15,join(Y,X_15))) != join(Y,X_15)
| meet(join(Y,X_15),join(X_15,Y)) = join(Y,X_15) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(Y,X_15),join(X_15,join(Y,X_15))),join(Y,X_15)) ),[0,1],$fot(join(X_15,Y))]]) ).
cnf(refute_0_215,plain,
( meet(join(Y,X_15),join(X_15,join(Y,X_15))) != join(Y,X_15)
| meet(join(Y,X_15),join(X_15,Y)) = join(Y,X_15) ),
inference(resolve,[$cnf( $equal(join(X_15,join(Y,X_15)),join(X_15,Y)) )],[refute_0_213,refute_0_214]) ).
cnf(refute_0_216,plain,
meet(join(Y,X_15),join(X_15,Y)) = join(Y,X_15),
inference(resolve,[$cnf( $equal(meet(join(Y,X_15),join(X_15,join(Y,X_15))),join(Y,X_15)) )],[refute_0_212,refute_0_215]) ).
cnf(refute_0_217,plain,
meet(join(X_28,X_29),join(X_29,X_28)) = join(X_28,X_29),
inference(subst,[],[refute_0_216:[bind(Y,$fot(X_28)),bind(X_15,$fot(X_29))]]) ).
cnf(refute_0_218,plain,
( meet(join(X_28,X_29),join(X_29,X_28)) != join(X_28,X_29)
| meet(meet(join(X_28,X_29),join(X_29,X_28)),Z) != meet(join(X_28,X_29),meet(join(X_29,X_28),Z))
| meet(join(X_28,X_29),Z) = meet(join(X_28,X_29),meet(join(X_29,X_28),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(join(X_28,X_29),join(X_29,X_28)),Z),meet(join(X_28,X_29),meet(join(X_29,X_28),Z))) ),[0,0],$fot(join(X_28,X_29))]]) ).
cnf(refute_0_219,plain,
( meet(meet(join(X_28,X_29),join(X_29,X_28)),Z) != meet(join(X_28,X_29),meet(join(X_29,X_28),Z))
| meet(join(X_28,X_29),Z) = meet(join(X_28,X_29),meet(join(X_29,X_28),Z)) ),
inference(resolve,[$cnf( $equal(meet(join(X_28,X_29),join(X_29,X_28)),join(X_28,X_29)) )],[refute_0_217,refute_0_218]) ).
cnf(refute_0_220,plain,
meet(join(X_28,X_29),Z) = meet(join(X_28,X_29),meet(join(X_29,X_28),Z)),
inference(resolve,[$cnf( $equal(meet(meet(join(X_28,X_29),join(X_29,X_28)),Z),meet(join(X_28,X_29),meet(join(X_29,X_28),Z))) )],[refute_0_211,refute_0_219]) ).
cnf(refute_0_221,plain,
meet(join(X_81,X_82),Y) = meet(join(X_81,X_82),meet(join(X_82,X_81),Y)),
inference(subst,[],[refute_0_220:[bind(Z,$fot(Y)),bind(X_28,$fot(X_81)),bind(X_29,$fot(X_82))]]) ).
cnf(refute_0_222,plain,
( meet(join(X_81,X_82),Y) != meet(join(X_81,X_82),meet(join(X_82,X_81),Y))
| meet(join(X_81,X_82),meet(join(X_82,X_81),Y)) = meet(join(X_81,X_82),Y) ),
inference(subst,[],[refute_0_16:[bind(X0,$fot(meet(join(X_81,X_82),Y))),bind(Y0,$fot(meet(join(X_81,X_82),meet(join(X_82,X_81),Y))))]]) ).
cnf(refute_0_223,plain,
meet(join(X_81,X_82),meet(join(X_82,X_81),Y)) = meet(join(X_81,X_82),Y),
inference(resolve,[$cnf( $equal(meet(join(X_81,X_82),Y),meet(join(X_81,X_82),meet(join(X_82,X_81),Y))) )],[refute_0_221,refute_0_222]) ).
cnf(refute_0_224,plain,
( meet(join(X_81,X_82),meet(Y,join(X_82,X_81))) != meet(join(X_81,X_82),meet(join(X_82,X_81),Y))
| meet(join(X_81,X_82),meet(join(X_82,X_81),Y)) != meet(join(X_81,X_82),Y)
| meet(join(X_81,X_82),meet(Y,join(X_82,X_81))) = meet(join(X_81,X_82),Y) ),
introduced(tautology,[equality,[$cnf( ~ $equal(meet(join(X_81,X_82),meet(Y,join(X_82,X_81))),meet(join(X_81,X_82),Y)) ),[0],$fot(meet(join(X_81,X_82),meet(join(X_82,X_81),Y)))]]) ).
cnf(refute_0_225,plain,
( meet(join(X_81,X_82),meet(Y,join(X_82,X_81))) != meet(join(X_81,X_82),meet(join(X_82,X_81),Y))
| meet(join(X_81,X_82),meet(Y,join(X_82,X_81))) = meet(join(X_81,X_82),Y) ),
inference(resolve,[$cnf( $equal(meet(join(X_81,X_82),meet(join(X_82,X_81),Y)),meet(join(X_81,X_82),Y)) )],[refute_0_223,refute_0_224]) ).
cnf(refute_0_226,plain,
meet(join(X_81,X_82),meet(Y,join(X_82,X_81))) = meet(join(X_81,X_82),Y),
inference(resolve,[$cnf( $equal(meet(join(X_81,X_82),meet(Y,join(X_82,X_81))),meet(join(X_81,X_82),meet(join(X_82,X_81),Y))) )],[refute_0_210,refute_0_225]) ).
cnf(refute_0_227,plain,
meet(X,meet(X_22,X_23)) = meet(meet(X_22,X_23),X),
inference(subst,[],[commutativity_of_meet:[bind(Y,$fot(meet(X_22,X_23)))]]) ).
cnf(refute_0_228,plain,
( meet(X,meet(X_22,X_23)) != meet(meet(X_22,X_23),X)
| meet(meet(X_22,X_23),X) != meet(X_22,meet(X_23,X))
| meet(X,meet(X_22,X_23)) = meet(X_22,meet(X_23,X)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(meet(X,meet(X_22,X_23)),meet(X_22,meet(X_23,X))) ),[0],$fot(meet(meet(X_22,X_23),X))]]) ).
cnf(refute_0_229,plain,
( meet(X,meet(X_22,X_23)) != meet(meet(X_22,X_23),X)
| meet(X,meet(X_22,X_23)) = meet(X_22,meet(X_23,X)) ),
inference(resolve,[$cnf( $equal(meet(meet(X_22,X_23),X),meet(X_22,meet(X_23,X))) )],[refute_0_59,refute_0_228]) ).
cnf(refute_0_230,plain,
meet(X,meet(X_22,X_23)) = meet(X_22,meet(X_23,X)),
inference(resolve,[$cnf( $equal(meet(X,meet(X_22,X_23)),meet(meet(X_22,X_23),X)) )],[refute_0_227,refute_0_229]) ).
cnf(refute_0_231,plain,
meet(join(X_15,Y),meet(X_52,join(Y,X_15))) = meet(X_52,meet(join(Y,X_15),join(X_15,Y))),
inference(subst,[],[refute_0_230:[bind(X,$fot(join(X_15,Y))),bind(X_22,$fot(X_52)),bind(X_23,$fot(join(Y,X_15)))]]) ).
cnf(refute_0_232,plain,
( meet(join(Y,X_15),join(X_15,Y)) != join(Y,X_15)
| meet(join(X_15,Y),meet(X_52,join(Y,X_15))) != meet(X_52,meet(join(Y,X_15),join(X_15,Y)))
| meet(join(X_15,Y),meet(X_52,join(Y,X_15))) = meet(X_52,join(Y,X_15)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_15,Y),meet(X_52,join(Y,X_15))),meet(X_52,meet(join(Y,X_15),join(X_15,Y)))) ),[1,1],$fot(join(Y,X_15))]]) ).
cnf(refute_0_233,plain,
( meet(join(X_15,Y),meet(X_52,join(Y,X_15))) != meet(X_52,meet(join(Y,X_15),join(X_15,Y)))
| meet(join(X_15,Y),meet(X_52,join(Y,X_15))) = meet(X_52,join(Y,X_15)) ),
inference(resolve,[$cnf( $equal(meet(join(Y,X_15),join(X_15,Y)),join(Y,X_15)) )],[refute_0_216,refute_0_232]) ).
cnf(refute_0_234,plain,
meet(join(X_15,Y),meet(X_52,join(Y,X_15))) = meet(X_52,join(Y,X_15)),
inference(resolve,[$cnf( $equal(meet(join(X_15,Y),meet(X_52,join(Y,X_15))),meet(X_52,meet(join(Y,X_15),join(X_15,Y)))) )],[refute_0_231,refute_0_233]) ).
cnf(refute_0_235,plain,
meet(join(X_81,X_82),meet(Y,join(X_82,X_81))) = meet(Y,join(X_82,X_81)),
inference(subst,[],[refute_0_234:[bind(Y,$fot(X_82)),bind(X_15,$fot(X_81)),bind(X_52,$fot(Y))]]) ).
cnf(refute_0_236,plain,
( meet(join(X_81,X_82),meet(Y,join(X_82,X_81))) != meet(Y,join(X_82,X_81))
| meet(join(X_81,X_82),meet(Y,join(X_82,X_81))) != meet(join(X_81,X_82),Y)
| meet(Y,join(X_82,X_81)) = meet(join(X_81,X_82),Y) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_81,X_82),meet(Y,join(X_82,X_81))),meet(join(X_81,X_82),Y)) ),[0],$fot(meet(Y,join(X_82,X_81)))]]) ).
cnf(refute_0_237,plain,
( meet(join(X_81,X_82),meet(Y,join(X_82,X_81))) != meet(join(X_81,X_82),Y)
| meet(Y,join(X_82,X_81)) = meet(join(X_81,X_82),Y) ),
inference(resolve,[$cnf( $equal(meet(join(X_81,X_82),meet(Y,join(X_82,X_81))),meet(Y,join(X_82,X_81))) )],[refute_0_235,refute_0_236]) ).
cnf(refute_0_238,plain,
meet(Y,join(X_82,X_81)) = meet(join(X_81,X_82),Y),
inference(resolve,[$cnf( $equal(meet(join(X_81,X_82),meet(Y,join(X_82,X_81))),meet(join(X_81,X_82),Y)) )],[refute_0_226,refute_0_237]) ).
cnf(refute_0_239,plain,
meet(X_83,join(X_85,meet(X_70,X_69))) = meet(join(meet(X_70,X_69),X_85),X_83),
inference(subst,[],[refute_0_238:[bind(Y,$fot(X_83)),bind(X_81,$fot(meet(X_70,X_69))),bind(X_82,$fot(X_85))]]) ).
cnf(refute_0_240,plain,
join(meet(X_69,X_70),X_85) = join(X_85,meet(X_70,X_69)),
inference(subst,[],[refute_0_135:[bind(X_30,$fot(X_85))]]) ).
cnf(refute_0_241,plain,
( join(meet(X_69,X_70),X_85) != join(X_85,meet(X_70,X_69))
| join(X_85,meet(X_70,X_69)) = join(meet(X_69,X_70),X_85) ),
inference(subst,[],[refute_0_16:[bind(X0,$fot(join(meet(X_69,X_70),X_85))),bind(Y0,$fot(join(X_85,meet(X_70,X_69))))]]) ).
cnf(refute_0_242,plain,
join(X_85,meet(X_70,X_69)) = join(meet(X_69,X_70),X_85),
inference(resolve,[$cnf( $equal(join(meet(X_69,X_70),X_85),join(X_85,meet(X_70,X_69))) )],[refute_0_240,refute_0_241]) ).
cnf(refute_0_243,plain,
( join(X_85,meet(X_70,X_69)) != join(meet(X_69,X_70),X_85)
| meet(X_83,join(X_85,meet(X_70,X_69))) != meet(join(meet(X_70,X_69),X_85),X_83)
| meet(X_83,join(meet(X_69,X_70),X_85)) = meet(join(meet(X_70,X_69),X_85),X_83) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_83,join(X_85,meet(X_70,X_69))),meet(join(meet(X_70,X_69),X_85),X_83)) ),[0,1],$fot(join(meet(X_69,X_70),X_85))]]) ).
cnf(refute_0_244,plain,
( meet(X_83,join(X_85,meet(X_70,X_69))) != meet(join(meet(X_70,X_69),X_85),X_83)
| meet(X_83,join(meet(X_69,X_70),X_85)) = meet(join(meet(X_70,X_69),X_85),X_83) ),
inference(resolve,[$cnf( $equal(join(X_85,meet(X_70,X_69)),join(meet(X_69,X_70),X_85)) )],[refute_0_242,refute_0_243]) ).
cnf(refute_0_245,plain,
meet(X_83,join(meet(X_69,X_70),X_85)) = meet(join(meet(X_70,X_69),X_85),X_83),
inference(resolve,[$cnf( $equal(meet(X_83,join(X_85,meet(X_70,X_69))),meet(join(meet(X_70,X_69),X_85),X_83)) )],[refute_0_239,refute_0_244]) ).
cnf(refute_0_246,plain,
( meet(X_83,join(meet(X_69,X_70),X_85)) != meet(join(meet(X_70,X_69),X_85),X_83)
| meet(join(meet(X_70,X_69),X_85),X_83) = meet(X_83,join(meet(X_69,X_70),X_85)) ),
inference(subst,[],[refute_0_16:[bind(X0,$fot(meet(X_83,join(meet(X_69,X_70),X_85)))),bind(Y0,$fot(meet(join(meet(X_70,X_69),X_85),X_83)))]]) ).
cnf(refute_0_247,plain,
meet(join(meet(X_70,X_69),X_85),X_83) = meet(X_83,join(meet(X_69,X_70),X_85)),
inference(resolve,[$cnf( $equal(meet(X_83,join(meet(X_69,X_70),X_85)),meet(join(meet(X_70,X_69),X_85),X_83)) )],[refute_0_245,refute_0_246]) ).
cnf(refute_0_248,plain,
meet(join(meet(X_112,Y),meet(X_114,join(X_112,Y))),Y) = meet(Y,join(meet(Y,X_112),meet(X_114,join(X_112,Y)))),
inference(subst,[],[refute_0_247:[bind(X_69,$fot(Y)),bind(X_70,$fot(X_112)),bind(X_83,$fot(Y)),bind(X_85,$fot(meet(X_114,join(X_112,Y))))]]) ).
cnf(refute_0_249,plain,
( join(meet(Y,X_112),meet(Y,X_114)) != meet(join(meet(X_112,Y),meet(X_114,join(X_112,Y))),Y)
| meet(join(meet(X_112,Y),meet(X_114,join(X_112,Y))),Y) != meet(Y,join(meet(Y,X_112),meet(X_114,join(X_112,Y))))
| join(meet(Y,X_112),meet(Y,X_114)) = meet(Y,join(meet(Y,X_112),meet(X_114,join(X_112,Y)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(meet(Y,X_112),meet(Y,X_114)),meet(Y,join(meet(Y,X_112),meet(X_114,join(X_112,Y))))) ),[0],$fot(meet(join(meet(X_112,Y),meet(X_114,join(X_112,Y))),Y))]]) ).
cnf(refute_0_250,plain,
( join(meet(Y,X_112),meet(Y,X_114)) != meet(join(meet(X_112,Y),meet(X_114,join(X_112,Y))),Y)
| join(meet(Y,X_112),meet(Y,X_114)) = meet(Y,join(meet(Y,X_112),meet(X_114,join(X_112,Y)))) ),
inference(resolve,[$cnf( $equal(meet(join(meet(X_112,Y),meet(X_114,join(X_112,Y))),Y),meet(Y,join(meet(Y,X_112),meet(X_114,join(X_112,Y))))) )],[refute_0_248,refute_0_249]) ).
cnf(refute_0_251,plain,
( join(meet(join(meet(X_112,Y),meet(X_114,join(X_112,Y))),Y),join(meet(X_112,Y),meet(Y,X_114))) != meet(join(meet(X_112,Y),meet(X_114,join(X_112,Y))),Y)
| join(meet(Y,X_112),meet(Y,X_114)) = meet(Y,join(meet(Y,X_112),meet(X_114,join(X_112,Y)))) ),
inference(resolve,[$cnf( $equal(join(meet(Y,X_112),meet(Y,X_114)),meet(join(meet(X_112,Y),meet(X_114,join(X_112,Y))),Y)) )],[refute_0_176,refute_0_250]) ).
cnf(refute_0_252,plain,
join(meet(Y,X_112),meet(Y,X_114)) = meet(Y,join(meet(Y,X_112),meet(X_114,join(X_112,Y)))),
inference(resolve,[$cnf( $equal(join(meet(join(meet(X_112,Y),meet(X_114,join(X_112,Y))),Y),join(meet(X_112,Y),meet(Y,X_114))),meet(join(meet(X_112,Y),meet(X_114,join(X_112,Y))),Y)) )],[refute_0_57,refute_0_251]) ).
cnf(refute_0_253,plain,
join(meet(X_19,X_209),meet(X_19,X_210)) = meet(X_19,join(meet(X_19,X_209),meet(X_210,join(X_209,X_19)))),
inference(subst,[],[refute_0_252:[bind(Y,$fot(X_19)),bind(X_112,$fot(X_209)),bind(X_114,$fot(X_210))]]) ).
cnf(refute_0_254,plain,
( join(meet(X_19,X_209),meet(X_19,X_210)) != meet(X_19,join(meet(X_19,X_209),meet(X_210,join(X_209,X_19))))
| meet(X_19,join(meet(X_19,X_209),meet(X_210,join(X_209,X_19)))) = join(meet(X_19,X_209),meet(X_19,X_210)) ),
inference(subst,[],[refute_0_16:[bind(X0,$fot(join(meet(X_19,X_209),meet(X_19,X_210)))),bind(Y0,$fot(meet(X_19,join(meet(X_19,X_209),meet(X_210,join(X_209,X_19))))))]]) ).
cnf(refute_0_255,plain,
meet(X_19,join(meet(X_19,X_209),meet(X_210,join(X_209,X_19)))) = join(meet(X_19,X_209),meet(X_19,X_210)),
inference(resolve,[$cnf( $equal(join(meet(X_19,X_209),meet(X_19,X_210)),meet(X_19,join(meet(X_19,X_209),meet(X_210,join(X_209,X_19))))) )],[refute_0_253,refute_0_254]) ).
cnf(refute_0_256,plain,
( meet(X_19,join(meet(X_19,X_209),meet(X_210,join(X_209,X_19)))) != join(meet(X_19,X_209),meet(X_19,X_210))
| meet(X_19,meet(X_19,join(meet(X_19,X_209),meet(X_210,join(X_209,X_19))))) != meet(X_19,join(meet(X_19,X_209),meet(X_210,join(X_209,X_19))))
| meet(X_19,meet(X_19,join(meet(X_19,X_209),meet(X_210,join(X_209,X_19))))) = join(meet(X_19,X_209),meet(X_19,X_210)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_19,meet(X_19,join(meet(X_19,X_209),meet(X_210,join(X_209,X_19))))),meet(X_19,join(meet(X_19,X_209),meet(X_210,join(X_209,X_19))))) ),[1],$fot(join(meet(X_19,X_209),meet(X_19,X_210)))]]) ).
cnf(refute_0_257,plain,
( meet(X_19,meet(X_19,join(meet(X_19,X_209),meet(X_210,join(X_209,X_19))))) != meet(X_19,join(meet(X_19,X_209),meet(X_210,join(X_209,X_19))))
| meet(X_19,meet(X_19,join(meet(X_19,X_209),meet(X_210,join(X_209,X_19))))) = join(meet(X_19,X_209),meet(X_19,X_210)) ),
inference(resolve,[$cnf( $equal(meet(X_19,join(meet(X_19,X_209),meet(X_210,join(X_209,X_19)))),join(meet(X_19,X_209),meet(X_19,X_210))) )],[refute_0_255,refute_0_256]) ).
cnf(refute_0_258,plain,
meet(X_19,meet(X_19,join(meet(X_19,X_209),meet(X_210,join(X_209,X_19))))) = join(meet(X_19,X_209),meet(X_19,X_210)),
inference(resolve,[$cnf( $equal(meet(X_19,meet(X_19,join(meet(X_19,X_209),meet(X_210,join(X_209,X_19))))),meet(X_19,join(meet(X_19,X_209),meet(X_210,join(X_209,X_19))))) )],[refute_0_22,refute_0_257]) ).
cnf(refute_0_259,plain,
join(meet(X_70,meet(X_23,X_24)),meet(meet(X_23,X_24),X_70)) = meet(X_70,meet(X_23,X_24)),
inference(subst,[],[refute_0_30:[bind(Y,$fot(meet(X_23,X_24))),bind(X_18,$fot(X_70))]]) ).
cnf(refute_0_260,plain,
meet(X_23,X_22) = meet(X_22,X_23),
inference(subst,[],[commutativity_of_meet:[bind(X,$fot(X_23)),bind(Y,$fot(X_22))]]) ).
cnf(refute_0_261,plain,
( meet(X_23,X_22) != meet(X_22,X_23)
| meet(X_22,X_23) = meet(X_23,X_22) ),
inference(subst,[],[refute_0_16:[bind(X0,$fot(meet(X_23,X_22))),bind(Y0,$fot(meet(X_22,X_23)))]]) ).
cnf(refute_0_262,plain,
meet(X_22,X_23) = meet(X_23,X_22),
inference(resolve,[$cnf( $equal(meet(X_23,X_22),meet(X_22,X_23)) )],[refute_0_260,refute_0_261]) ).
cnf(refute_0_263,plain,
( meet(X_22,X_23) != meet(X_23,X_22)
| meet(meet(X_22,X_23),X_24) != meet(X_22,meet(X_23,X_24))
| meet(meet(X_23,X_22),X_24) = meet(X_22,meet(X_23,X_24)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_22,X_23),X_24),meet(X_22,meet(X_23,X_24))) ),[0,0],$fot(meet(X_23,X_22))]]) ).
cnf(refute_0_264,plain,
( meet(meet(X_22,X_23),X_24) != meet(X_22,meet(X_23,X_24))
| meet(meet(X_23,X_22),X_24) = meet(X_22,meet(X_23,X_24)) ),
inference(resolve,[$cnf( $equal(meet(X_22,X_23),meet(X_23,X_22)) )],[refute_0_262,refute_0_263]) ).
cnf(refute_0_265,plain,
meet(meet(X_23,X_22),X_24) = meet(X_22,meet(X_23,X_24)),
inference(resolve,[$cnf( $equal(meet(meet(X_22,X_23),X_24),meet(X_22,meet(X_23,X_24))) )],[refute_0_187,refute_0_264]) ).
cnf(refute_0_266,plain,
meet(meet(X_23,X_22),X_24) = meet(X_23,meet(X_22,X_24)),
inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_23)),bind(Y,$fot(X_22)),bind(Z,$fot(X_24))]]) ).
cnf(refute_0_267,plain,
( meet(meet(X_23,X_22),X_24) != meet(X_22,meet(X_23,X_24))
| meet(meet(X_23,X_22),X_24) != meet(X_23,meet(X_22,X_24))
| meet(X_23,meet(X_22,X_24)) = meet(X_22,meet(X_23,X_24)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_23,X_22),X_24),meet(X_22,meet(X_23,X_24))) ),[0],$fot(meet(X_23,meet(X_22,X_24)))]]) ).
cnf(refute_0_268,plain,
( meet(meet(X_23,X_22),X_24) != meet(X_22,meet(X_23,X_24))
| meet(X_23,meet(X_22,X_24)) = meet(X_22,meet(X_23,X_24)) ),
inference(resolve,[$cnf( $equal(meet(meet(X_23,X_22),X_24),meet(X_23,meet(X_22,X_24))) )],[refute_0_266,refute_0_267]) ).
cnf(refute_0_269,plain,
meet(X_23,meet(X_22,X_24)) = meet(X_22,meet(X_23,X_24)),
inference(resolve,[$cnf( $equal(meet(meet(X_23,X_22),X_24),meet(X_22,meet(X_23,X_24))) )],[refute_0_265,refute_0_268]) ).
cnf(refute_0_270,plain,
meet(X_23,meet(X_70,X_24)) = meet(X_70,meet(X_23,X_24)),
inference(subst,[],[refute_0_269:[bind(X_22,$fot(X_70))]]) ).
cnf(refute_0_271,plain,
( meet(X_23,meet(X_70,X_24)) != meet(X_70,meet(X_23,X_24))
| meet(X_70,meet(X_23,X_24)) = meet(X_23,meet(X_70,X_24)) ),
inference(subst,[],[refute_0_16:[bind(X0,$fot(meet(X_23,meet(X_70,X_24)))),bind(Y0,$fot(meet(X_70,meet(X_23,X_24))))]]) ).
cnf(refute_0_272,plain,
meet(X_70,meet(X_23,X_24)) = meet(X_23,meet(X_70,X_24)),
inference(resolve,[$cnf( $equal(meet(X_23,meet(X_70,X_24)),meet(X_70,meet(X_23,X_24))) )],[refute_0_270,refute_0_271]) ).
cnf(refute_0_273,plain,
( join(meet(X_70,meet(X_23,X_24)),meet(meet(X_23,X_24),X_70)) != meet(X_70,meet(X_23,X_24))
| meet(X_70,meet(X_23,X_24)) != meet(X_23,meet(X_70,X_24))
| join(meet(X_23,meet(X_70,X_24)),meet(meet(X_23,X_24),X_70)) = meet(X_70,meet(X_23,X_24)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_70,meet(X_23,X_24)),meet(meet(X_23,X_24),X_70)),meet(X_70,meet(X_23,X_24))) ),[0,0],$fot(meet(X_23,meet(X_70,X_24)))]]) ).
cnf(refute_0_274,plain,
( join(meet(X_70,meet(X_23,X_24)),meet(meet(X_23,X_24),X_70)) != meet(X_70,meet(X_23,X_24))
| join(meet(X_23,meet(X_70,X_24)),meet(meet(X_23,X_24),X_70)) = meet(X_70,meet(X_23,X_24)) ),
inference(resolve,[$cnf( $equal(meet(X_70,meet(X_23,X_24)),meet(X_23,meet(X_70,X_24))) )],[refute_0_272,refute_0_273]) ).
cnf(refute_0_275,plain,
join(meet(X_23,meet(X_70,X_24)),meet(meet(X_23,X_24),X_70)) = meet(X_70,meet(X_23,X_24)),
inference(resolve,[$cnf( $equal(join(meet(X_70,meet(X_23,X_24)),meet(meet(X_23,X_24),X_70)),meet(X_70,meet(X_23,X_24))) )],[refute_0_259,refute_0_274]) ).
cnf(refute_0_276,plain,
meet(meet(X_23,X_24),X_70) = meet(X_23,meet(X_24,X_70)),
inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_23)),bind(Y,$fot(X_24)),bind(Z,$fot(X_70))]]) ).
cnf(refute_0_277,plain,
join(meet(X_23,meet(X_70,X_24)),meet(meet(X_23,X_24),X_70)) = join(meet(X_23,meet(X_70,X_24)),meet(meet(X_23,X_24),X_70)),
introduced(tautology,[refl,[$fot(join(meet(X_23,meet(X_70,X_24)),meet(meet(X_23,X_24),X_70)))]]) ).
cnf(refute_0_278,plain,
( join(meet(X_23,meet(X_70,X_24)),meet(meet(X_23,X_24),X_70)) != join(meet(X_23,meet(X_70,X_24)),meet(meet(X_23,X_24),X_70))
| meet(meet(X_23,X_24),X_70) != meet(X_23,meet(X_24,X_70))
| join(meet(X_23,meet(X_70,X_24)),meet(meet(X_23,X_24),X_70)) = join(meet(X_23,meet(X_70,X_24)),meet(X_23,meet(X_24,X_70))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_23,meet(X_70,X_24)),meet(meet(X_23,X_24),X_70)),join(meet(X_23,meet(X_70,X_24)),meet(meet(X_23,X_24),X_70))) ),[1,1],$fot(meet(X_23,meet(X_24,X_70)))]]) ).
cnf(refute_0_279,plain,
( meet(meet(X_23,X_24),X_70) != meet(X_23,meet(X_24,X_70))
| join(meet(X_23,meet(X_70,X_24)),meet(meet(X_23,X_24),X_70)) = join(meet(X_23,meet(X_70,X_24)),meet(X_23,meet(X_24,X_70))) ),
inference(resolve,[$cnf( $equal(join(meet(X_23,meet(X_70,X_24)),meet(meet(X_23,X_24),X_70)),join(meet(X_23,meet(X_70,X_24)),meet(meet(X_23,X_24),X_70))) )],[refute_0_277,refute_0_278]) ).
cnf(refute_0_280,plain,
join(meet(X_23,meet(X_70,X_24)),meet(meet(X_23,X_24),X_70)) = join(meet(X_23,meet(X_70,X_24)),meet(X_23,meet(X_24,X_70))),
inference(resolve,[$cnf( $equal(meet(meet(X_23,X_24),X_70),meet(X_23,meet(X_24,X_70))) )],[refute_0_276,refute_0_279]) ).
cnf(refute_0_281,plain,
( join(meet(X_23,meet(X_70,X_24)),meet(meet(X_23,X_24),X_70)) != join(meet(X_23,meet(X_70,X_24)),meet(X_23,meet(X_24,X_70)))
| join(meet(X_23,meet(X_70,X_24)),meet(meet(X_23,X_24),X_70)) != meet(X_70,meet(X_23,X_24))
| join(meet(X_23,meet(X_70,X_24)),meet(X_23,meet(X_24,X_70))) = meet(X_70,meet(X_23,X_24)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_23,meet(X_70,X_24)),meet(meet(X_23,X_24),X_70)),meet(X_70,meet(X_23,X_24))) ),[0],$fot(join(meet(X_23,meet(X_70,X_24)),meet(X_23,meet(X_24,X_70))))]]) ).
cnf(refute_0_282,plain,
( join(meet(X_23,meet(X_70,X_24)),meet(meet(X_23,X_24),X_70)) != meet(X_70,meet(X_23,X_24))
| join(meet(X_23,meet(X_70,X_24)),meet(X_23,meet(X_24,X_70))) = meet(X_70,meet(X_23,X_24)) ),
inference(resolve,[$cnf( $equal(join(meet(X_23,meet(X_70,X_24)),meet(meet(X_23,X_24),X_70)),join(meet(X_23,meet(X_70,X_24)),meet(X_23,meet(X_24,X_70)))) )],[refute_0_280,refute_0_281]) ).
cnf(refute_0_283,plain,
join(meet(X_23,meet(X_70,X_24)),meet(X_23,meet(X_24,X_70))) = meet(X_70,meet(X_23,X_24)),
inference(resolve,[$cnf( $equal(join(meet(X_23,meet(X_70,X_24)),meet(meet(X_23,X_24),X_70)),meet(X_70,meet(X_23,X_24))) )],[refute_0_275,refute_0_282]) ).
cnf(refute_0_284,plain,
join(meet(X_23,meet(X_70,join(meet(X_70,X_209),meet(X_210,join(X_209,X_70))))),meet(X_23,meet(join(meet(X_70,X_209),meet(X_210,join(X_209,X_70))),X_70))) = meet(X_70,meet(X_23,join(meet(X_70,X_209),meet(X_210,join(X_209,X_70))))),
inference(subst,[],[refute_0_283:[bind(X_24,$fot(join(meet(X_70,X_209),meet(X_210,join(X_209,X_70)))))]]) ).
cnf(refute_0_285,plain,
join(meet(X_70,X_209),meet(X_70,X_210)) = meet(X_70,join(meet(X_70,X_209),meet(X_210,join(X_209,X_70)))),
inference(subst,[],[refute_0_252:[bind(Y,$fot(X_70)),bind(X_112,$fot(X_209)),bind(X_114,$fot(X_210))]]) ).
cnf(refute_0_286,plain,
( join(meet(X_70,X_209),meet(X_70,X_210)) != meet(X_70,join(meet(X_70,X_209),meet(X_210,join(X_209,X_70))))
| meet(X_70,join(meet(X_70,X_209),meet(X_210,join(X_209,X_70)))) = join(meet(X_70,X_209),meet(X_70,X_210)) ),
inference(subst,[],[refute_0_16:[bind(X0,$fot(join(meet(X_70,X_209),meet(X_70,X_210)))),bind(Y0,$fot(meet(X_70,join(meet(X_70,X_209),meet(X_210,join(X_209,X_70))))))]]) ).
cnf(refute_0_287,plain,
meet(X_70,join(meet(X_70,X_209),meet(X_210,join(X_209,X_70)))) = join(meet(X_70,X_209),meet(X_70,X_210)),
inference(resolve,[$cnf( $equal(join(meet(X_70,X_209),meet(X_70,X_210)),meet(X_70,join(meet(X_70,X_209),meet(X_210,join(X_209,X_70))))) )],[refute_0_285,refute_0_286]) ).
cnf(refute_0_288,plain,
( join(meet(X_23,meet(X_70,join(meet(X_70,X_209),meet(X_210,join(X_209,X_70))))),meet(X_23,meet(join(meet(X_70,X_209),meet(X_210,join(X_209,X_70))),X_70))) != meet(X_70,meet(X_23,join(meet(X_70,X_209),meet(X_210,join(X_209,X_70)))))
| meet(X_70,join(meet(X_70,X_209),meet(X_210,join(X_209,X_70)))) != join(meet(X_70,X_209),meet(X_70,X_210))
| join(meet(X_23,join(meet(X_70,X_209),meet(X_70,X_210))),meet(X_23,meet(join(meet(X_70,X_209),meet(X_210,join(X_209,X_70))),X_70))) = meet(X_70,meet(X_23,join(meet(X_70,X_209),meet(X_210,join(X_209,X_70))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_23,meet(X_70,join(meet(X_70,X_209),meet(X_210,join(X_209,X_70))))),meet(X_23,meet(join(meet(X_70,X_209),meet(X_210,join(X_209,X_70))),X_70))),meet(X_70,meet(X_23,join(meet(X_70,X_209),meet(X_210,join(X_209,X_70)))))) ),[0,0,1],$fot(join(meet(X_70,X_209),meet(X_70,X_210)))]]) ).
cnf(refute_0_289,plain,
( join(meet(X_23,meet(X_70,join(meet(X_70,X_209),meet(X_210,join(X_209,X_70))))),meet(X_23,meet(join(meet(X_70,X_209),meet(X_210,join(X_209,X_70))),X_70))) != meet(X_70,meet(X_23,join(meet(X_70,X_209),meet(X_210,join(X_209,X_70)))))
| join(meet(X_23,join(meet(X_70,X_209),meet(X_70,X_210))),meet(X_23,meet(join(meet(X_70,X_209),meet(X_210,join(X_209,X_70))),X_70))) = meet(X_70,meet(X_23,join(meet(X_70,X_209),meet(X_210,join(X_209,X_70))))) ),
inference(resolve,[$cnf( $equal(meet(X_70,join(meet(X_70,X_209),meet(X_210,join(X_209,X_70)))),join(meet(X_70,X_209),meet(X_70,X_210))) )],[refute_0_287,refute_0_288]) ).
cnf(refute_0_290,plain,
join(meet(X_23,join(meet(X_70,X_209),meet(X_70,X_210))),meet(X_23,meet(join(meet(X_70,X_209),meet(X_210,join(X_209,X_70))),X_70))) = meet(X_70,meet(X_23,join(meet(X_70,X_209),meet(X_210,join(X_209,X_70))))),
inference(resolve,[$cnf( $equal(join(meet(X_23,meet(X_70,join(meet(X_70,X_209),meet(X_210,join(X_209,X_70))))),meet(X_23,meet(join(meet(X_70,X_209),meet(X_210,join(X_209,X_70))),X_70))),meet(X_70,meet(X_23,join(meet(X_70,X_209),meet(X_210,join(X_209,X_70)))))) )],[refute_0_284,refute_0_289]) ).
cnf(refute_0_291,plain,
join(meet(X_23,join(meet(X_70,X_209),meet(X_70,X_210))),meet(X_23,join(meet(X_70,X_209),meet(X_70,X_210)))) = meet(X_23,join(meet(X_70,X_209),meet(X_70,X_210))),
inference(subst,[],[idempotence_of_join:[bind(X,$fot(meet(X_23,join(meet(X_70,X_209),meet(X_70,X_210)))))]]) ).
cnf(refute_0_292,plain,
meet(X_23,meet(X_70,join(meet(X_70,X_209),meet(X_210,join(X_209,X_70))))) = meet(X_23,meet(X_70,join(meet(X_70,X_209),meet(X_210,join(X_209,X_70))))),
introduced(tautology,[refl,[$fot(meet(X_23,meet(X_70,join(meet(X_70,X_209),meet(X_210,join(X_209,X_70))))))]]) ).
cnf(refute_0_293,plain,
( meet(X_23,meet(X_70,join(meet(X_70,X_209),meet(X_210,join(X_209,X_70))))) != meet(X_23,meet(X_70,join(meet(X_70,X_209),meet(X_210,join(X_209,X_70)))))
| meet(X_70,join(meet(X_70,X_209),meet(X_210,join(X_209,X_70)))) != join(meet(X_70,X_209),meet(X_70,X_210))
| meet(X_23,meet(X_70,join(meet(X_70,X_209),meet(X_210,join(X_209,X_70))))) = meet(X_23,join(meet(X_70,X_209),meet(X_70,X_210))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_23,meet(X_70,join(meet(X_70,X_209),meet(X_210,join(X_209,X_70))))),meet(X_23,meet(X_70,join(meet(X_70,X_209),meet(X_210,join(X_209,X_70)))))) ),[1,1],$fot(join(meet(X_70,X_209),meet(X_70,X_210)))]]) ).
cnf(refute_0_294,plain,
( meet(X_70,join(meet(X_70,X_209),meet(X_210,join(X_209,X_70)))) != join(meet(X_70,X_209),meet(X_70,X_210))
| meet(X_23,meet(X_70,join(meet(X_70,X_209),meet(X_210,join(X_209,X_70))))) = meet(X_23,join(meet(X_70,X_209),meet(X_70,X_210))) ),
inference(resolve,[$cnf( $equal(meet(X_23,meet(X_70,join(meet(X_70,X_209),meet(X_210,join(X_209,X_70))))),meet(X_23,meet(X_70,join(meet(X_70,X_209),meet(X_210,join(X_209,X_70)))))) )],[refute_0_292,refute_0_293]) ).
cnf(refute_0_295,plain,
meet(X_23,meet(X_70,join(meet(X_70,X_209),meet(X_210,join(X_209,X_70))))) = meet(X_23,join(meet(X_70,X_209),meet(X_70,X_210))),
inference(resolve,[$cnf( $equal(meet(X_70,join(meet(X_70,X_209),meet(X_210,join(X_209,X_70)))),join(meet(X_70,X_209),meet(X_70,X_210))) )],[refute_0_287,refute_0_294]) ).
cnf(refute_0_296,plain,
join(meet(X_23,join(meet(X_70,X_209),meet(X_70,X_210))),meet(X_23,meet(X_70,join(meet(X_70,X_209),meet(X_210,join(X_209,X_70)))))) = join(meet(X_23,join(meet(X_70,X_209),meet(X_70,X_210))),meet(X_23,meet(X_70,join(meet(X_70,X_209),meet(X_210,join(X_209,X_70)))))),
introduced(tautology,[refl,[$fot(join(meet(X_23,join(meet(X_70,X_209),meet(X_70,X_210))),meet(X_23,meet(X_70,join(meet(X_70,X_209),meet(X_210,join(X_209,X_70)))))))]]) ).
cnf(refute_0_297,plain,
( join(meet(X_23,join(meet(X_70,X_209),meet(X_70,X_210))),meet(X_23,meet(X_70,join(meet(X_70,X_209),meet(X_210,join(X_209,X_70)))))) != join(meet(X_23,join(meet(X_70,X_209),meet(X_70,X_210))),meet(X_23,meet(X_70,join(meet(X_70,X_209),meet(X_210,join(X_209,X_70))))))
| meet(X_23,meet(X_70,join(meet(X_70,X_209),meet(X_210,join(X_209,X_70))))) != meet(X_23,join(meet(X_70,X_209),meet(X_70,X_210)))
| join(meet(X_23,join(meet(X_70,X_209),meet(X_70,X_210))),meet(X_23,meet(X_70,join(meet(X_70,X_209),meet(X_210,join(X_209,X_70)))))) = join(meet(X_23,join(meet(X_70,X_209),meet(X_70,X_210))),meet(X_23,join(meet(X_70,X_209),meet(X_70,X_210)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_23,join(meet(X_70,X_209),meet(X_70,X_210))),meet(X_23,meet(X_70,join(meet(X_70,X_209),meet(X_210,join(X_209,X_70)))))),join(meet(X_23,join(meet(X_70,X_209),meet(X_70,X_210))),meet(X_23,meet(X_70,join(meet(X_70,X_209),meet(X_210,join(X_209,X_70))))))) ),[1,1],$fot(meet(X_23,join(meet(X_70,X_209),meet(X_70,X_210))))]]) ).
cnf(refute_0_298,plain,
( meet(X_23,meet(X_70,join(meet(X_70,X_209),meet(X_210,join(X_209,X_70))))) != meet(X_23,join(meet(X_70,X_209),meet(X_70,X_210)))
| join(meet(X_23,join(meet(X_70,X_209),meet(X_70,X_210))),meet(X_23,meet(X_70,join(meet(X_70,X_209),meet(X_210,join(X_209,X_70)))))) = join(meet(X_23,join(meet(X_70,X_209),meet(X_70,X_210))),meet(X_23,join(meet(X_70,X_209),meet(X_70,X_210)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_23,join(meet(X_70,X_209),meet(X_70,X_210))),meet(X_23,meet(X_70,join(meet(X_70,X_209),meet(X_210,join(X_209,X_70)))))),join(meet(X_23,join(meet(X_70,X_209),meet(X_70,X_210))),meet(X_23,meet(X_70,join(meet(X_70,X_209),meet(X_210,join(X_209,X_70))))))) )],[refute_0_296,refute_0_297]) ).
cnf(refute_0_299,plain,
join(meet(X_23,join(meet(X_70,X_209),meet(X_70,X_210))),meet(X_23,meet(X_70,join(meet(X_70,X_209),meet(X_210,join(X_209,X_70)))))) = join(meet(X_23,join(meet(X_70,X_209),meet(X_70,X_210))),meet(X_23,join(meet(X_70,X_209),meet(X_70,X_210)))),
inference(resolve,[$cnf( $equal(meet(X_23,meet(X_70,join(meet(X_70,X_209),meet(X_210,join(X_209,X_70))))),meet(X_23,join(meet(X_70,X_209),meet(X_70,X_210)))) )],[refute_0_295,refute_0_298]) ).
cnf(refute_0_300,plain,
( join(meet(X_23,join(meet(X_70,X_209),meet(X_70,X_210))),meet(X_23,join(meet(X_70,X_209),meet(X_70,X_210)))) != meet(X_23,join(meet(X_70,X_209),meet(X_70,X_210)))
| join(meet(X_23,join(meet(X_70,X_209),meet(X_70,X_210))),meet(X_23,meet(X_70,join(meet(X_70,X_209),meet(X_210,join(X_209,X_70)))))) != join(meet(X_23,join(meet(X_70,X_209),meet(X_70,X_210))),meet(X_23,join(meet(X_70,X_209),meet(X_70,X_210))))
| join(meet(X_23,join(meet(X_70,X_209),meet(X_70,X_210))),meet(X_23,meet(X_70,join(meet(X_70,X_209),meet(X_210,join(X_209,X_70)))))) = meet(X_23,join(meet(X_70,X_209),meet(X_70,X_210))) ),
inference(subst,[],[refute_0_93:[bind(X0,$fot(join(meet(X_23,join(meet(X_70,X_209),meet(X_70,X_210))),meet(X_23,meet(X_70,join(meet(X_70,X_209),meet(X_210,join(X_209,X_70)))))))),bind(Y0,$fot(join(meet(X_23,join(meet(X_70,X_209),meet(X_70,X_210))),meet(X_23,join(meet(X_70,X_209),meet(X_70,X_210)))))),bind(Z0,$fot(meet(X_23,join(meet(X_70,X_209),meet(X_70,X_210)))))]]) ).
cnf(refute_0_301,plain,
( join(meet(X_23,join(meet(X_70,X_209),meet(X_70,X_210))),meet(X_23,join(meet(X_70,X_209),meet(X_70,X_210)))) != meet(X_23,join(meet(X_70,X_209),meet(X_70,X_210)))
| join(meet(X_23,join(meet(X_70,X_209),meet(X_70,X_210))),meet(X_23,meet(X_70,join(meet(X_70,X_209),meet(X_210,join(X_209,X_70)))))) = meet(X_23,join(meet(X_70,X_209),meet(X_70,X_210))) ),
inference(resolve,[$cnf( $equal(join(meet(X_23,join(meet(X_70,X_209),meet(X_70,X_210))),meet(X_23,meet(X_70,join(meet(X_70,X_209),meet(X_210,join(X_209,X_70)))))),join(meet(X_23,join(meet(X_70,X_209),meet(X_70,X_210))),meet(X_23,join(meet(X_70,X_209),meet(X_70,X_210))))) )],[refute_0_299,refute_0_300]) ).
cnf(refute_0_302,plain,
join(meet(X_23,join(meet(X_70,X_209),meet(X_70,X_210))),meet(X_23,meet(X_70,join(meet(X_70,X_209),meet(X_210,join(X_209,X_70)))))) = meet(X_23,join(meet(X_70,X_209),meet(X_70,X_210))),
inference(resolve,[$cnf( $equal(join(meet(X_23,join(meet(X_70,X_209),meet(X_70,X_210))),meet(X_23,join(meet(X_70,X_209),meet(X_70,X_210)))),meet(X_23,join(meet(X_70,X_209),meet(X_70,X_210)))) )],[refute_0_291,refute_0_301]) ).
cnf(refute_0_303,plain,
join(join(X,meet(X_202,meet(X_204,X_203))),meet(X_202,meet(X_203,X_204))) = join(X,join(meet(X_202,meet(X_204,X_203)),meet(X_202,meet(X_203,X_204)))),
inference(subst,[],[associativity_of_join:[bind(Y,$fot(meet(X_202,meet(X_204,X_203)))),bind(Z,$fot(meet(X_202,meet(X_203,X_204))))]]) ).
cnf(refute_0_304,plain,
join(meet(X_202,meet(X_204,X_203)),meet(X_202,meet(X_203,X_204))) = meet(X_204,meet(X_202,X_203)),
inference(subst,[],[refute_0_283:[bind(X_23,$fot(X_202)),bind(X_24,$fot(X_203)),bind(X_70,$fot(X_204))]]) ).
cnf(refute_0_305,plain,
( join(join(X,meet(X_202,meet(X_204,X_203))),meet(X_202,meet(X_203,X_204))) != join(X,join(meet(X_202,meet(X_204,X_203)),meet(X_202,meet(X_203,X_204))))
| join(meet(X_202,meet(X_204,X_203)),meet(X_202,meet(X_203,X_204))) != meet(X_204,meet(X_202,X_203))
| join(join(X,meet(X_202,meet(X_204,X_203))),meet(X_202,meet(X_203,X_204))) = join(X,meet(X_204,meet(X_202,X_203))) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(X,meet(X_202,meet(X_204,X_203))),meet(X_202,meet(X_203,X_204))),join(X,join(meet(X_202,meet(X_204,X_203)),meet(X_202,meet(X_203,X_204))))) ),[1,1],$fot(meet(X_204,meet(X_202,X_203)))]]) ).
cnf(refute_0_306,plain,
( join(join(X,meet(X_202,meet(X_204,X_203))),meet(X_202,meet(X_203,X_204))) != join(X,join(meet(X_202,meet(X_204,X_203)),meet(X_202,meet(X_203,X_204))))
| join(join(X,meet(X_202,meet(X_204,X_203))),meet(X_202,meet(X_203,X_204))) = join(X,meet(X_204,meet(X_202,X_203))) ),
inference(resolve,[$cnf( $equal(join(meet(X_202,meet(X_204,X_203)),meet(X_202,meet(X_203,X_204))),meet(X_204,meet(X_202,X_203))) )],[refute_0_304,refute_0_305]) ).
cnf(refute_0_307,plain,
join(join(X,meet(X_202,meet(X_204,X_203))),meet(X_202,meet(X_203,X_204))) = join(X,meet(X_204,meet(X_202,X_203))),
inference(resolve,[$cnf( $equal(join(join(X,meet(X_202,meet(X_204,X_203))),meet(X_202,meet(X_203,X_204))),join(X,join(meet(X_202,meet(X_204,X_203)),meet(X_202,meet(X_203,X_204))))) )],[refute_0_303,refute_0_306]) ).
cnf(refute_0_308,plain,
join(X,join(meet(X_70,X_69),meet(X_69,X_70))) = join(meet(X_70,X_69),join(meet(X_69,X_70),X)),
inference(subst,[],[refute_0_126:[bind(X_30,$fot(meet(X_70,X_69))),bind(X_31,$fot(meet(X_69,X_70)))]]) ).
cnf(refute_0_309,plain,
( join(X,join(meet(X_70,X_69),meet(X_69,X_70))) != join(meet(X_70,X_69),join(meet(X_69,X_70),X))
| join(meet(X_70,X_69),meet(X_69,X_70)) != meet(X_70,X_69)
| join(X,meet(X_70,X_69)) = join(meet(X_70,X_69),join(meet(X_69,X_70),X)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X,join(meet(X_70,X_69),meet(X_69,X_70))),join(meet(X_70,X_69),join(meet(X_69,X_70),X))) ),[0,1],$fot(meet(X_70,X_69))]]) ).
cnf(refute_0_310,plain,
( join(X,join(meet(X_70,X_69),meet(X_69,X_70))) != join(meet(X_70,X_69),join(meet(X_69,X_70),X))
| join(X,meet(X_70,X_69)) = join(meet(X_70,X_69),join(meet(X_69,X_70),X)) ),
inference(resolve,[$cnf( $equal(join(meet(X_70,X_69),meet(X_69,X_70)),meet(X_70,X_69)) )],[refute_0_128,refute_0_309]) ).
cnf(refute_0_311,plain,
join(X,meet(X_70,X_69)) = join(meet(X_70,X_69),join(meet(X_69,X_70),X)),
inference(resolve,[$cnf( $equal(join(X,join(meet(X_70,X_69),meet(X_69,X_70))),join(meet(X_70,X_69),join(meet(X_69,X_70),X))) )],[refute_0_308,refute_0_310]) ).
cnf(refute_0_312,plain,
join(X_150,meet(meet(X_53,X_51),X_151)) = join(meet(meet(X_53,X_51),X_151),join(meet(X_151,meet(X_53,X_51)),X_150)),
inference(subst,[],[refute_0_311:[bind(X,$fot(X_150)),bind(X_69,$fot(X_151)),bind(X_70,$fot(meet(X_53,X_51)))]]) ).
cnf(refute_0_313,plain,
meet(X_51,meet(X_52,X_53)) = meet(X_52,meet(X_53,X_51)),
inference(subst,[],[refute_0_230:[bind(X,$fot(X_51)),bind(X_22,$fot(X_52)),bind(X_23,$fot(X_53))]]) ).
cnf(refute_0_314,plain,
meet(X_53,X_52) = meet(X_52,X_53),
inference(subst,[],[commutativity_of_meet:[bind(X,$fot(X_53)),bind(Y,$fot(X_52))]]) ).
cnf(refute_0_315,plain,
( meet(X_53,X_52) != meet(X_52,X_53)
| meet(X_52,X_53) = meet(X_53,X_52) ),
inference(subst,[],[refute_0_16:[bind(X0,$fot(meet(X_53,X_52))),bind(Y0,$fot(meet(X_52,X_53)))]]) ).
cnf(refute_0_316,plain,
meet(X_52,X_53) = meet(X_53,X_52),
inference(resolve,[$cnf( $equal(meet(X_53,X_52),meet(X_52,X_53)) )],[refute_0_314,refute_0_315]) ).
cnf(refute_0_317,plain,
( meet(X_51,meet(X_52,X_53)) != meet(X_52,meet(X_53,X_51))
| meet(X_52,X_53) != meet(X_53,X_52)
| meet(X_51,meet(X_53,X_52)) = meet(X_52,meet(X_53,X_51)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_51,meet(X_52,X_53)),meet(X_52,meet(X_53,X_51))) ),[0,1],$fot(meet(X_53,X_52))]]) ).
cnf(refute_0_318,plain,
( meet(X_51,meet(X_52,X_53)) != meet(X_52,meet(X_53,X_51))
| meet(X_51,meet(X_53,X_52)) = meet(X_52,meet(X_53,X_51)) ),
inference(resolve,[$cnf( $equal(meet(X_52,X_53),meet(X_53,X_52)) )],[refute_0_316,refute_0_317]) ).
cnf(refute_0_319,plain,
meet(X_51,meet(X_53,X_52)) = meet(X_52,meet(X_53,X_51)),
inference(resolve,[$cnf( $equal(meet(X_51,meet(X_52,X_53)),meet(X_52,meet(X_53,X_51))) )],[refute_0_313,refute_0_318]) ).
cnf(refute_0_320,plain,
meet(X_51,meet(X_53,X_151)) = meet(X_151,meet(X_53,X_51)),
inference(subst,[],[refute_0_319:[bind(X_52,$fot(X_151))]]) ).
cnf(refute_0_321,plain,
( meet(X_51,meet(X_53,X_151)) != meet(X_151,meet(X_53,X_51))
| meet(X_151,meet(X_53,X_51)) = meet(X_51,meet(X_53,X_151)) ),
inference(subst,[],[refute_0_16:[bind(X0,$fot(meet(X_51,meet(X_53,X_151)))),bind(Y0,$fot(meet(X_151,meet(X_53,X_51))))]]) ).
cnf(refute_0_322,plain,
meet(X_151,meet(X_53,X_51)) = meet(X_51,meet(X_53,X_151)),
inference(resolve,[$cnf( $equal(meet(X_51,meet(X_53,X_151)),meet(X_151,meet(X_53,X_51))) )],[refute_0_320,refute_0_321]) ).
cnf(refute_0_323,plain,
( join(X_150,meet(meet(X_53,X_51),X_151)) != join(meet(meet(X_53,X_51),X_151),join(meet(X_151,meet(X_53,X_51)),X_150))
| meet(X_151,meet(X_53,X_51)) != meet(X_51,meet(X_53,X_151))
| join(X_150,meet(meet(X_53,X_51),X_151)) = join(meet(meet(X_53,X_51),X_151),join(meet(X_51,meet(X_53,X_151)),X_150)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_150,meet(meet(X_53,X_51),X_151)),join(meet(meet(X_53,X_51),X_151),join(meet(X_151,meet(X_53,X_51)),X_150))) ),[1,1,0],$fot(meet(X_51,meet(X_53,X_151)))]]) ).
cnf(refute_0_324,plain,
( join(X_150,meet(meet(X_53,X_51),X_151)) != join(meet(meet(X_53,X_51),X_151),join(meet(X_151,meet(X_53,X_51)),X_150))
| join(X_150,meet(meet(X_53,X_51),X_151)) = join(meet(meet(X_53,X_51),X_151),join(meet(X_51,meet(X_53,X_151)),X_150)) ),
inference(resolve,[$cnf( $equal(meet(X_151,meet(X_53,X_51)),meet(X_51,meet(X_53,X_151))) )],[refute_0_322,refute_0_323]) ).
cnf(refute_0_325,plain,
join(X_150,meet(meet(X_53,X_51),X_151)) = join(meet(meet(X_53,X_51),X_151),join(meet(X_51,meet(X_53,X_151)),X_150)),
inference(resolve,[$cnf( $equal(join(X_150,meet(meet(X_53,X_51),X_151)),join(meet(meet(X_53,X_51),X_151),join(meet(X_151,meet(X_53,X_51)),X_150))) )],[refute_0_312,refute_0_324]) ).
cnf(refute_0_326,plain,
meet(meet(X_53,X_51),X_151) = meet(X_53,meet(X_51,X_151)),
inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_53)),bind(Y,$fot(X_51)),bind(Z,$fot(X_151))]]) ).
cnf(refute_0_327,plain,
join(X_150,meet(meet(X_53,X_51),X_151)) = join(X_150,meet(meet(X_53,X_51),X_151)),
introduced(tautology,[refl,[$fot(join(X_150,meet(meet(X_53,X_51),X_151)))]]) ).
cnf(refute_0_328,plain,
( join(X_150,meet(meet(X_53,X_51),X_151)) != join(X_150,meet(meet(X_53,X_51),X_151))
| meet(meet(X_53,X_51),X_151) != meet(X_53,meet(X_51,X_151))
| join(X_150,meet(meet(X_53,X_51),X_151)) = join(X_150,meet(X_53,meet(X_51,X_151))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_150,meet(meet(X_53,X_51),X_151)),join(X_150,meet(meet(X_53,X_51),X_151))) ),[1,1],$fot(meet(X_53,meet(X_51,X_151)))]]) ).
cnf(refute_0_329,plain,
( meet(meet(X_53,X_51),X_151) != meet(X_53,meet(X_51,X_151))
| join(X_150,meet(meet(X_53,X_51),X_151)) = join(X_150,meet(X_53,meet(X_51,X_151))) ),
inference(resolve,[$cnf( $equal(join(X_150,meet(meet(X_53,X_51),X_151)),join(X_150,meet(meet(X_53,X_51),X_151))) )],[refute_0_327,refute_0_328]) ).
cnf(refute_0_330,plain,
join(X_150,meet(meet(X_53,X_51),X_151)) = join(X_150,meet(X_53,meet(X_51,X_151))),
inference(resolve,[$cnf( $equal(meet(meet(X_53,X_51),X_151),meet(X_53,meet(X_51,X_151))) )],[refute_0_326,refute_0_329]) ).
cnf(refute_0_331,plain,
( join(X_150,meet(meet(X_53,X_51),X_151)) != join(X_150,meet(X_53,meet(X_51,X_151)))
| join(X_150,meet(meet(X_53,X_51),X_151)) != join(meet(meet(X_53,X_51),X_151),join(meet(X_51,meet(X_53,X_151)),X_150))
| join(X_150,meet(X_53,meet(X_51,X_151))) = join(meet(meet(X_53,X_51),X_151),join(meet(X_51,meet(X_53,X_151)),X_150)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_150,meet(meet(X_53,X_51),X_151)),join(meet(meet(X_53,X_51),X_151),join(meet(X_51,meet(X_53,X_151)),X_150))) ),[0],$fot(join(X_150,meet(X_53,meet(X_51,X_151))))]]) ).
cnf(refute_0_332,plain,
( join(X_150,meet(meet(X_53,X_51),X_151)) != join(meet(meet(X_53,X_51),X_151),join(meet(X_51,meet(X_53,X_151)),X_150))
| join(X_150,meet(X_53,meet(X_51,X_151))) = join(meet(meet(X_53,X_51),X_151),join(meet(X_51,meet(X_53,X_151)),X_150)) ),
inference(resolve,[$cnf( $equal(join(X_150,meet(meet(X_53,X_51),X_151)),join(X_150,meet(X_53,meet(X_51,X_151)))) )],[refute_0_330,refute_0_331]) ).
cnf(refute_0_333,plain,
join(join(meet(X_151,X_152),X_150),join(meet(X_152,X_151),X_58)) = join(X_58,join(meet(X_152,X_151),join(meet(X_151,X_152),X_150))),
inference(subst,[],[refute_0_160:[bind(X_57,$fot(join(meet(X_151,X_152),X_150))),bind(X_59,$fot(meet(X_152,X_151)))]]) ).
cnf(refute_0_334,plain,
join(X_150,meet(X_152,X_151)) = join(meet(X_152,X_151),join(meet(X_151,X_152),X_150)),
inference(subst,[],[refute_0_311:[bind(X,$fot(X_150)),bind(X_69,$fot(X_151)),bind(X_70,$fot(X_152))]]) ).
cnf(refute_0_335,plain,
( join(X_150,meet(X_152,X_151)) != join(meet(X_152,X_151),join(meet(X_151,X_152),X_150))
| join(meet(X_152,X_151),join(meet(X_151,X_152),X_150)) = join(X_150,meet(X_152,X_151)) ),
inference(subst,[],[refute_0_16:[bind(X0,$fot(join(X_150,meet(X_152,X_151)))),bind(Y0,$fot(join(meet(X_152,X_151),join(meet(X_151,X_152),X_150))))]]) ).
cnf(refute_0_336,plain,
join(meet(X_152,X_151),join(meet(X_151,X_152),X_150)) = join(X_150,meet(X_152,X_151)),
inference(resolve,[$cnf( $equal(join(X_150,meet(X_152,X_151)),join(meet(X_152,X_151),join(meet(X_151,X_152),X_150))) )],[refute_0_334,refute_0_335]) ).
cnf(refute_0_337,plain,
( join(join(meet(X_151,X_152),X_150),join(meet(X_152,X_151),X_58)) != join(X_58,join(meet(X_152,X_151),join(meet(X_151,X_152),X_150)))
| join(meet(X_152,X_151),join(meet(X_151,X_152),X_150)) != join(X_150,meet(X_152,X_151))
| join(join(meet(X_151,X_152),X_150),join(meet(X_152,X_151),X_58)) = join(X_58,join(X_150,meet(X_152,X_151))) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(meet(X_151,X_152),X_150),join(meet(X_152,X_151),X_58)),join(X_58,join(meet(X_152,X_151),join(meet(X_151,X_152),X_150)))) ),[1,1],$fot(join(X_150,meet(X_152,X_151)))]]) ).
cnf(refute_0_338,plain,
( join(join(meet(X_151,X_152),X_150),join(meet(X_152,X_151),X_58)) != join(X_58,join(meet(X_152,X_151),join(meet(X_151,X_152),X_150)))
| join(join(meet(X_151,X_152),X_150),join(meet(X_152,X_151),X_58)) = join(X_58,join(X_150,meet(X_152,X_151))) ),
inference(resolve,[$cnf( $equal(join(meet(X_152,X_151),join(meet(X_151,X_152),X_150)),join(X_150,meet(X_152,X_151))) )],[refute_0_336,refute_0_337]) ).
cnf(refute_0_339,plain,
join(join(meet(X_151,X_152),X_150),join(meet(X_152,X_151),X_58)) = join(X_58,join(X_150,meet(X_152,X_151))),
inference(resolve,[$cnf( $equal(join(join(meet(X_151,X_152),X_150),join(meet(X_152,X_151),X_58)),join(X_58,join(meet(X_152,X_151),join(meet(X_151,X_152),X_150)))) )],[refute_0_333,refute_0_338]) ).
cnf(refute_0_340,plain,
( join(X_30,join(Y,X_32)) != join(X_30,join(Y,join(X_30,X_32)))
| join(X_30,join(Y,join(X_30,X_32))) = join(X_30,join(Y,X_32)) ),
inference(subst,[],[refute_0_16:[bind(X0,$fot(join(X_30,join(Y,X_32)))),bind(Y0,$fot(join(X_30,join(Y,join(X_30,X_32)))))]]) ).
cnf(refute_0_341,plain,
join(X_30,join(Y,join(X_30,X_32))) = join(X_30,join(Y,X_32)),
inference(resolve,[$cnf( $equal(join(X_30,join(Y,X_32)),join(X_30,join(Y,join(X_30,X_32)))) )],[refute_0_120,refute_0_340]) ).
cnf(refute_0_342,plain,
join(meet(X_151,X_152),join(X_58,join(meet(X_151,X_152),X_150))) = join(meet(X_151,X_152),join(X_58,X_150)),
inference(subst,[],[refute_0_341:[bind(Y,$fot(X_58)),bind(X_30,$fot(meet(X_151,X_152))),bind(X_32,$fot(X_150))]]) ).
cnf(refute_0_343,plain,
join(join(X_30,meet(X_22,meet(X_23,X_30))),X_32) = join(X_30,join(meet(X_22,meet(X_23,X_30)),X_32)),
inference(subst,[],[associativity_of_join:[bind(X,$fot(X_30)),bind(Y,$fot(meet(X_22,meet(X_23,X_30)))),bind(Z,$fot(X_32))]]) ).
cnf(refute_0_344,plain,
join(X_30,meet(X_22,meet(X_23,X_30))) = X_30,
inference(subst,[],[refute_0_62:[bind(X,$fot(X_30))]]) ).
cnf(refute_0_345,plain,
( join(X_30,meet(X_22,meet(X_23,X_30))) != X_30
| join(join(X_30,meet(X_22,meet(X_23,X_30))),X_32) != join(X_30,join(meet(X_22,meet(X_23,X_30)),X_32))
| join(X_30,X_32) = join(X_30,join(meet(X_22,meet(X_23,X_30)),X_32)) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(X_30,meet(X_22,meet(X_23,X_30))),X_32),join(X_30,join(meet(X_22,meet(X_23,X_30)),X_32))) ),[0,0],$fot(X_30)]]) ).
cnf(refute_0_346,plain,
( join(join(X_30,meet(X_22,meet(X_23,X_30))),X_32) != join(X_30,join(meet(X_22,meet(X_23,X_30)),X_32))
| join(X_30,X_32) = join(X_30,join(meet(X_22,meet(X_23,X_30)),X_32)) ),
inference(resolve,[$cnf( $equal(join(X_30,meet(X_22,meet(X_23,X_30))),X_30) )],[refute_0_344,refute_0_345]) ).
cnf(refute_0_347,plain,
join(X_30,X_32) = join(X_30,join(meet(X_22,meet(X_23,X_30)),X_32)),
inference(resolve,[$cnf( $equal(join(join(X_30,meet(X_22,meet(X_23,X_30))),X_32),join(X_30,join(meet(X_22,meet(X_23,X_30)),X_32))) )],[refute_0_343,refute_0_346]) ).
cnf(refute_0_348,plain,
join(join(X_121,meet(X_22,X_23)),X_32) = join(join(X_121,meet(X_22,X_23)),join(meet(X_22,meet(X_23,join(X_121,meet(X_22,X_23)))),X_32)),
inference(subst,[],[refute_0_347:[bind(X_30,$fot(join(X_121,meet(X_22,X_23))))]]) ).
cnf(refute_0_349,plain,
meet(meet(X_22,X_23),join(Y,meet(X_22,X_23))) = meet(X_22,X_23),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(X_22,X_23)))]]) ).
cnf(refute_0_350,plain,
meet(meet(X_22,X_23),join(Y,meet(X_22,X_23))) = meet(X_22,meet(X_23,join(Y,meet(X_22,X_23)))),
inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_22)),bind(Y,$fot(X_23)),bind(Z,$fot(join(Y,meet(X_22,X_23))))]]) ).
cnf(refute_0_351,plain,
( meet(meet(X_22,X_23),join(Y,meet(X_22,X_23))) != meet(X_22,X_23)
| meet(meet(X_22,X_23),join(Y,meet(X_22,X_23))) != meet(X_22,meet(X_23,join(Y,meet(X_22,X_23))))
| meet(X_22,meet(X_23,join(Y,meet(X_22,X_23)))) = meet(X_22,X_23) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_22,X_23),join(Y,meet(X_22,X_23))),meet(X_22,X_23)) ),[0],$fot(meet(X_22,meet(X_23,join(Y,meet(X_22,X_23)))))]]) ).
cnf(refute_0_352,plain,
( meet(meet(X_22,X_23),join(Y,meet(X_22,X_23))) != meet(X_22,X_23)
| meet(X_22,meet(X_23,join(Y,meet(X_22,X_23)))) = meet(X_22,X_23) ),
inference(resolve,[$cnf( $equal(meet(meet(X_22,X_23),join(Y,meet(X_22,X_23))),meet(X_22,meet(X_23,join(Y,meet(X_22,X_23))))) )],[refute_0_350,refute_0_351]) ).
cnf(refute_0_353,plain,
meet(X_22,meet(X_23,join(Y,meet(X_22,X_23)))) = meet(X_22,X_23),
inference(resolve,[$cnf( $equal(meet(meet(X_22,X_23),join(Y,meet(X_22,X_23))),meet(X_22,X_23)) )],[refute_0_349,refute_0_352]) ).
cnf(refute_0_354,plain,
meet(X_22,meet(X_23,join(X_121,meet(X_22,X_23)))) = meet(X_22,X_23),
inference(subst,[],[refute_0_353:[bind(Y,$fot(X_121))]]) ).
cnf(refute_0_355,plain,
( join(join(X_121,meet(X_22,X_23)),X_32) != join(join(X_121,meet(X_22,X_23)),join(meet(X_22,meet(X_23,join(X_121,meet(X_22,X_23)))),X_32))
| meet(X_22,meet(X_23,join(X_121,meet(X_22,X_23)))) != meet(X_22,X_23)
| join(join(X_121,meet(X_22,X_23)),X_32) = join(join(X_121,meet(X_22,X_23)),join(meet(X_22,X_23),X_32)) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(X_121,meet(X_22,X_23)),X_32),join(join(X_121,meet(X_22,X_23)),join(meet(X_22,meet(X_23,join(X_121,meet(X_22,X_23)))),X_32))) ),[1,1,0],$fot(meet(X_22,X_23))]]) ).
cnf(refute_0_356,plain,
( join(join(X_121,meet(X_22,X_23)),X_32) != join(join(X_121,meet(X_22,X_23)),join(meet(X_22,meet(X_23,join(X_121,meet(X_22,X_23)))),X_32))
| join(join(X_121,meet(X_22,X_23)),X_32) = join(join(X_121,meet(X_22,X_23)),join(meet(X_22,X_23),X_32)) ),
inference(resolve,[$cnf( $equal(meet(X_22,meet(X_23,join(X_121,meet(X_22,X_23)))),meet(X_22,X_23)) )],[refute_0_354,refute_0_355]) ).
cnf(refute_0_357,plain,
join(join(X_121,meet(X_22,X_23)),X_32) = join(join(X_121,meet(X_22,X_23)),join(meet(X_22,X_23),X_32)),
inference(resolve,[$cnf( $equal(join(join(X_121,meet(X_22,X_23)),X_32),join(join(X_121,meet(X_22,X_23)),join(meet(X_22,meet(X_23,join(X_121,meet(X_22,X_23)))),X_32))) )],[refute_0_348,refute_0_356]) ).
cnf(refute_0_358,plain,
join(join(X_121,meet(X_22,X_23)),X_32) = join(X_121,join(meet(X_22,X_23),X_32)),
inference(subst,[],[associativity_of_join:[bind(X,$fot(X_121)),bind(Y,$fot(meet(X_22,X_23))),bind(Z,$fot(X_32))]]) ).
cnf(refute_0_359,plain,
( join(join(X_121,meet(X_22,X_23)),X_32) != join(X_121,join(meet(X_22,X_23),X_32))
| join(join(X_121,meet(X_22,X_23)),X_32) != join(join(X_121,meet(X_22,X_23)),join(meet(X_22,X_23),X_32))
| join(X_121,join(meet(X_22,X_23),X_32)) = join(join(X_121,meet(X_22,X_23)),join(meet(X_22,X_23),X_32)) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(X_121,meet(X_22,X_23)),X_32),join(join(X_121,meet(X_22,X_23)),join(meet(X_22,X_23),X_32))) ),[0],$fot(join(X_121,join(meet(X_22,X_23),X_32)))]]) ).
cnf(refute_0_360,plain,
( join(join(X_121,meet(X_22,X_23)),X_32) != join(join(X_121,meet(X_22,X_23)),join(meet(X_22,X_23),X_32))
| join(X_121,join(meet(X_22,X_23),X_32)) = join(join(X_121,meet(X_22,X_23)),join(meet(X_22,X_23),X_32)) ),
inference(resolve,[$cnf( $equal(join(join(X_121,meet(X_22,X_23)),X_32),join(X_121,join(meet(X_22,X_23),X_32))) )],[refute_0_358,refute_0_359]) ).
cnf(refute_0_361,plain,
join(meet(X_69,X_70),join(X_86,X_88)) = join(meet(X_69,X_70),join(X_86,join(meet(X_69,X_70),X_88))),
inference(subst,[],[refute_0_120:[bind(Y,$fot(X_86)),bind(X_30,$fot(meet(X_69,X_70))),bind(X_32,$fot(X_88))]]) ).
cnf(refute_0_362,plain,
join(meet(X_69,X_70),X_88) = join(X_88,meet(X_70,X_69)),
inference(subst,[],[refute_0_135:[bind(X_30,$fot(X_88))]]) ).
cnf(refute_0_363,plain,
( join(meet(X_69,X_70),X_88) != join(X_88,meet(X_70,X_69))
| join(meet(X_69,X_70),join(X_86,X_88)) != join(meet(X_69,X_70),join(X_86,join(meet(X_69,X_70),X_88)))
| join(meet(X_69,X_70),join(X_86,X_88)) = join(meet(X_69,X_70),join(X_86,join(X_88,meet(X_70,X_69)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_69,X_70),join(X_86,X_88)),join(meet(X_69,X_70),join(X_86,join(meet(X_69,X_70),X_88)))) ),[1,1,1],$fot(join(X_88,meet(X_70,X_69)))]]) ).
cnf(refute_0_364,plain,
( join(meet(X_69,X_70),join(X_86,X_88)) != join(meet(X_69,X_70),join(X_86,join(meet(X_69,X_70),X_88)))
| join(meet(X_69,X_70),join(X_86,X_88)) = join(meet(X_69,X_70),join(X_86,join(X_88,meet(X_70,X_69)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_69,X_70),X_88),join(X_88,meet(X_70,X_69))) )],[refute_0_362,refute_0_363]) ).
cnf(refute_0_365,plain,
join(meet(X_69,X_70),join(X_86,X_88)) = join(meet(X_69,X_70),join(X_86,join(X_88,meet(X_70,X_69)))),
inference(resolve,[$cnf( $equal(join(meet(X_69,X_70),join(X_86,X_88)),join(meet(X_69,X_70),join(X_86,join(meet(X_69,X_70),X_88)))) )],[refute_0_361,refute_0_364]) ).
cnf(refute_0_366,plain,
( join(meet(X_69,X_70),join(X_86,X_88)) != join(meet(X_69,X_70),join(X_86,join(X_88,meet(X_70,X_69))))
| join(meet(X_69,X_70),join(X_86,join(X_88,meet(X_70,X_69)))) = join(meet(X_69,X_70),join(X_86,X_88)) ),
inference(subst,[],[refute_0_16:[bind(X0,$fot(join(meet(X_69,X_70),join(X_86,X_88)))),bind(Y0,$fot(join(meet(X_69,X_70),join(X_86,join(X_88,meet(X_70,X_69))))))]]) ).
cnf(refute_0_367,plain,
join(meet(X_69,X_70),join(X_86,join(X_88,meet(X_70,X_69)))) = join(meet(X_69,X_70),join(X_86,X_88)),
inference(resolve,[$cnf( $equal(join(meet(X_69,X_70),join(X_86,X_88)),join(meet(X_69,X_70),join(X_86,join(X_88,meet(X_70,X_69))))) )],[refute_0_365,refute_0_366]) ).
cnf(refute_0_368,plain,
join(meet(X_23,X_22),join(X_32,join(X_121,meet(X_22,X_23)))) = join(meet(X_23,X_22),join(X_32,X_121)),
inference(subst,[],[refute_0_367:[bind(X_69,$fot(X_23)),bind(X_70,$fot(X_22)),bind(X_86,$fot(X_32)),bind(X_88,$fot(X_121))]]) ).
cnf(refute_0_369,plain,
join(join(X_121,meet(X_22,X_23)),join(meet(X_22,X_23),X_32)) = join(meet(X_23,X_22),join(X_32,join(X_121,meet(X_22,X_23)))),
inference(subst,[],[refute_0_167:[bind(X_109,$fot(join(X_121,meet(X_22,X_23)))),bind(X_111,$fot(X_32)),bind(X_69,$fot(X_22)),bind(X_70,$fot(X_23))]]) ).
cnf(refute_0_370,plain,
( join(join(X_121,meet(X_22,X_23)),join(meet(X_22,X_23),X_32)) != join(meet(X_23,X_22),join(X_32,join(X_121,meet(X_22,X_23))))
| join(meet(X_23,X_22),join(X_32,join(X_121,meet(X_22,X_23)))) != join(meet(X_23,X_22),join(X_32,X_121))
| join(join(X_121,meet(X_22,X_23)),join(meet(X_22,X_23),X_32)) = join(meet(X_23,X_22),join(X_32,X_121)) ),
inference(subst,[],[refute_0_93:[bind(X0,$fot(join(join(X_121,meet(X_22,X_23)),join(meet(X_22,X_23),X_32)))),bind(Y0,$fot(join(meet(X_23,X_22),join(X_32,join(X_121,meet(X_22,X_23)))))),bind(Z0,$fot(join(meet(X_23,X_22),join(X_32,X_121))))]]) ).
cnf(refute_0_371,plain,
( join(meet(X_23,X_22),join(X_32,join(X_121,meet(X_22,X_23)))) != join(meet(X_23,X_22),join(X_32,X_121))
| join(join(X_121,meet(X_22,X_23)),join(meet(X_22,X_23),X_32)) = join(meet(X_23,X_22),join(X_32,X_121)) ),
inference(resolve,[$cnf( $equal(join(join(X_121,meet(X_22,X_23)),join(meet(X_22,X_23),X_32)),join(meet(X_23,X_22),join(X_32,join(X_121,meet(X_22,X_23))))) )],[refute_0_369,refute_0_370]) ).
cnf(refute_0_372,plain,
join(join(X_121,meet(X_22,X_23)),join(meet(X_22,X_23),X_32)) = join(meet(X_23,X_22),join(X_32,X_121)),
inference(resolve,[$cnf( $equal(join(meet(X_23,X_22),join(X_32,join(X_121,meet(X_22,X_23)))),join(meet(X_23,X_22),join(X_32,X_121))) )],[refute_0_368,refute_0_371]) ).
cnf(refute_0_373,plain,
( join(X_121,join(meet(X_22,X_23),X_32)) != join(join(X_121,meet(X_22,X_23)),join(meet(X_22,X_23),X_32))
| join(join(X_121,meet(X_22,X_23)),join(meet(X_22,X_23),X_32)) != join(meet(X_23,X_22),join(X_32,X_121))
| join(X_121,join(meet(X_22,X_23),X_32)) = join(meet(X_23,X_22),join(X_32,X_121)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_121,join(meet(X_22,X_23),X_32)),join(meet(X_23,X_22),join(X_32,X_121))) ),[0],$fot(join(join(X_121,meet(X_22,X_23)),join(meet(X_22,X_23),X_32)))]]) ).
cnf(refute_0_374,plain,
( join(X_121,join(meet(X_22,X_23),X_32)) != join(join(X_121,meet(X_22,X_23)),join(meet(X_22,X_23),X_32))
| join(X_121,join(meet(X_22,X_23),X_32)) = join(meet(X_23,X_22),join(X_32,X_121)) ),
inference(resolve,[$cnf( $equal(join(join(X_121,meet(X_22,X_23)),join(meet(X_22,X_23),X_32)),join(meet(X_23,X_22),join(X_32,X_121))) )],[refute_0_372,refute_0_373]) ).
cnf(refute_0_375,plain,
( join(join(X_121,meet(X_22,X_23)),X_32) != join(join(X_121,meet(X_22,X_23)),join(meet(X_22,X_23),X_32))
| join(X_121,join(meet(X_22,X_23),X_32)) = join(meet(X_23,X_22),join(X_32,X_121)) ),
inference(resolve,[$cnf( $equal(join(X_121,join(meet(X_22,X_23),X_32)),join(join(X_121,meet(X_22,X_23)),join(meet(X_22,X_23),X_32))) )],[refute_0_360,refute_0_374]) ).
cnf(refute_0_376,plain,
join(X_121,join(meet(X_22,X_23),X_32)) = join(meet(X_23,X_22),join(X_32,X_121)),
inference(resolve,[$cnf( $equal(join(join(X_121,meet(X_22,X_23)),X_32),join(join(X_121,meet(X_22,X_23)),join(meet(X_22,X_23),X_32))) )],[refute_0_357,refute_0_375]) ).
cnf(refute_0_377,plain,
join(join(meet(X_151,X_152),X_150),join(meet(X_152,X_151),X_58)) = join(meet(X_151,X_152),join(X_58,join(meet(X_151,X_152),X_150))),
inference(subst,[],[refute_0_376:[bind(X_121,$fot(join(meet(X_151,X_152),X_150))),bind(X_22,$fot(X_152)),bind(X_23,$fot(X_151)),bind(X_32,$fot(X_58))]]) ).
cnf(refute_0_378,plain,
( join(join(meet(X_151,X_152),X_150),join(meet(X_152,X_151),X_58)) != join(meet(X_151,X_152),join(X_58,join(meet(X_151,X_152),X_150)))
| join(meet(X_151,X_152),join(X_58,join(meet(X_151,X_152),X_150))) != join(meet(X_151,X_152),join(X_58,X_150))
| join(join(meet(X_151,X_152),X_150),join(meet(X_152,X_151),X_58)) = join(meet(X_151,X_152),join(X_58,X_150)) ),
inference(subst,[],[refute_0_93:[bind(X0,$fot(join(join(meet(X_151,X_152),X_150),join(meet(X_152,X_151),X_58)))),bind(Y0,$fot(join(meet(X_151,X_152),join(X_58,join(meet(X_151,X_152),X_150))))),bind(Z0,$fot(join(meet(X_151,X_152),join(X_58,X_150))))]]) ).
cnf(refute_0_379,plain,
( join(meet(X_151,X_152),join(X_58,join(meet(X_151,X_152),X_150))) != join(meet(X_151,X_152),join(X_58,X_150))
| join(join(meet(X_151,X_152),X_150),join(meet(X_152,X_151),X_58)) = join(meet(X_151,X_152),join(X_58,X_150)) ),
inference(resolve,[$cnf( $equal(join(join(meet(X_151,X_152),X_150),join(meet(X_152,X_151),X_58)),join(meet(X_151,X_152),join(X_58,join(meet(X_151,X_152),X_150)))) )],[refute_0_377,refute_0_378]) ).
cnf(refute_0_380,plain,
join(join(meet(X_151,X_152),X_150),join(meet(X_152,X_151),X_58)) = join(meet(X_151,X_152),join(X_58,X_150)),
inference(resolve,[$cnf( $equal(join(meet(X_151,X_152),join(X_58,join(meet(X_151,X_152),X_150))),join(meet(X_151,X_152),join(X_58,X_150))) )],[refute_0_342,refute_0_379]) ).
cnf(refute_0_381,plain,
( join(join(meet(X_151,X_152),X_150),join(meet(X_152,X_151),X_58)) != join(X_58,join(X_150,meet(X_152,X_151)))
| join(join(meet(X_151,X_152),X_150),join(meet(X_152,X_151),X_58)) != join(meet(X_151,X_152),join(X_58,X_150))
| join(meet(X_151,X_152),join(X_58,X_150)) = join(X_58,join(X_150,meet(X_152,X_151))) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(meet(X_151,X_152),X_150),join(meet(X_152,X_151),X_58)),join(X_58,join(X_150,meet(X_152,X_151)))) ),[0],$fot(join(meet(X_151,X_152),join(X_58,X_150)))]]) ).
cnf(refute_0_382,plain,
( join(join(meet(X_151,X_152),X_150),join(meet(X_152,X_151),X_58)) != join(X_58,join(X_150,meet(X_152,X_151)))
| join(meet(X_151,X_152),join(X_58,X_150)) = join(X_58,join(X_150,meet(X_152,X_151))) ),
inference(resolve,[$cnf( $equal(join(join(meet(X_151,X_152),X_150),join(meet(X_152,X_151),X_58)),join(meet(X_151,X_152),join(X_58,X_150))) )],[refute_0_380,refute_0_381]) ).
cnf(refute_0_383,plain,
join(meet(X_151,X_152),join(X_58,X_150)) = join(X_58,join(X_150,meet(X_152,X_151))),
inference(resolve,[$cnf( $equal(join(join(meet(X_151,X_152),X_150),join(meet(X_152,X_151),X_58)),join(X_58,join(X_150,meet(X_152,X_151)))) )],[refute_0_339,refute_0_382]) ).
cnf(refute_0_384,plain,
join(meet(meet(X_53,X_51),X_151),join(meet(X_51,meet(X_53,X_151)),X_150)) = join(meet(X_51,meet(X_53,X_151)),join(X_150,meet(X_151,meet(X_53,X_51)))),
inference(subst,[],[refute_0_383:[bind(X_151,$fot(meet(X_53,X_51))),bind(X_152,$fot(X_151)),bind(X_58,$fot(meet(X_51,meet(X_53,X_151))))]]) ).
cnf(refute_0_385,plain,
( join(X_150,meet(X_53,meet(X_51,X_151))) != join(meet(meet(X_53,X_51),X_151),join(meet(X_51,meet(X_53,X_151)),X_150))
| join(meet(meet(X_53,X_51),X_151),join(meet(X_51,meet(X_53,X_151)),X_150)) != join(meet(X_51,meet(X_53,X_151)),join(X_150,meet(X_151,meet(X_53,X_51))))
| join(X_150,meet(X_53,meet(X_51,X_151))) = join(meet(X_51,meet(X_53,X_151)),join(X_150,meet(X_151,meet(X_53,X_51)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_150,meet(X_53,meet(X_51,X_151))),join(meet(X_51,meet(X_53,X_151)),join(X_150,meet(X_151,meet(X_53,X_51))))) ),[0],$fot(join(meet(meet(X_53,X_51),X_151),join(meet(X_51,meet(X_53,X_151)),X_150)))]]) ).
cnf(refute_0_386,plain,
( join(X_150,meet(X_53,meet(X_51,X_151))) != join(meet(meet(X_53,X_51),X_151),join(meet(X_51,meet(X_53,X_151)),X_150))
| join(X_150,meet(X_53,meet(X_51,X_151))) = join(meet(X_51,meet(X_53,X_151)),join(X_150,meet(X_151,meet(X_53,X_51)))) ),
inference(resolve,[$cnf( $equal(join(meet(meet(X_53,X_51),X_151),join(meet(X_51,meet(X_53,X_151)),X_150)),join(meet(X_51,meet(X_53,X_151)),join(X_150,meet(X_151,meet(X_53,X_51))))) )],[refute_0_384,refute_0_385]) ).
cnf(refute_0_387,plain,
( join(X_150,meet(meet(X_53,X_51),X_151)) != join(meet(meet(X_53,X_51),X_151),join(meet(X_51,meet(X_53,X_151)),X_150))
| join(X_150,meet(X_53,meet(X_51,X_151))) = join(meet(X_51,meet(X_53,X_151)),join(X_150,meet(X_151,meet(X_53,X_51)))) ),
inference(resolve,[$cnf( $equal(join(X_150,meet(X_53,meet(X_51,X_151))),join(meet(meet(X_53,X_51),X_151),join(meet(X_51,meet(X_53,X_151)),X_150))) )],[refute_0_332,refute_0_386]) ).
cnf(refute_0_388,plain,
join(X_150,meet(X_53,meet(X_51,X_151))) = join(meet(X_51,meet(X_53,X_151)),join(X_150,meet(X_151,meet(X_53,X_51)))),
inference(resolve,[$cnf( $equal(join(X_150,meet(meet(X_53,X_51),X_151)),join(meet(meet(X_53,X_51),X_151),join(meet(X_51,meet(X_53,X_151)),X_150))) )],[refute_0_325,refute_0_387]) ).
cnf(refute_0_389,plain,
( join(X_150,meet(X_53,meet(X_51,X_151))) != join(meet(X_51,meet(X_53,X_151)),join(X_150,meet(X_151,meet(X_53,X_51))))
| join(meet(X_51,meet(X_53,X_151)),join(X_150,meet(X_151,meet(X_53,X_51)))) = join(X_150,meet(X_53,meet(X_51,X_151))) ),
inference(subst,[],[refute_0_16:[bind(X0,$fot(join(X_150,meet(X_53,meet(X_51,X_151))))),bind(Y0,$fot(join(meet(X_51,meet(X_53,X_151)),join(X_150,meet(X_151,meet(X_53,X_51))))))]]) ).
cnf(refute_0_390,plain,
join(meet(X_51,meet(X_53,X_151)),join(X_150,meet(X_151,meet(X_53,X_51)))) = join(X_150,meet(X_53,meet(X_51,X_151))),
inference(resolve,[$cnf( $equal(join(X_150,meet(X_53,meet(X_51,X_151))),join(meet(X_51,meet(X_53,X_151)),join(X_150,meet(X_151,meet(X_53,X_51))))) )],[refute_0_388,refute_0_389]) ).
cnf(refute_0_391,plain,
join(meet(X_203,meet(X_204,X_202)),join(X,meet(X_202,meet(X_204,X_203)))) = join(X,meet(X_204,meet(X_203,X_202))),
inference(subst,[],[refute_0_390:[bind(X_150,$fot(X)),bind(X_151,$fot(X_202)),bind(X_51,$fot(X_203)),bind(X_53,$fot(X_204))]]) ).
cnf(refute_0_392,plain,
join(meet(X_202,meet(X_204,X_203)),join(Y,meet(X_202,meet(X_203,X_204)))) = join(meet(X_202,meet(X_204,X_203)),join(Y,join(meet(X_202,meet(X_204,X_203)),meet(X_202,meet(X_203,X_204))))),
inference(subst,[],[refute_0_120:[bind(X_30,$fot(meet(X_202,meet(X_204,X_203)))),bind(X_32,$fot(meet(X_202,meet(X_203,X_204))))]]) ).
cnf(refute_0_393,plain,
( join(meet(X_202,meet(X_204,X_203)),join(Y,meet(X_202,meet(X_203,X_204)))) != join(meet(X_202,meet(X_204,X_203)),join(Y,join(meet(X_202,meet(X_204,X_203)),meet(X_202,meet(X_203,X_204)))))
| join(meet(X_202,meet(X_204,X_203)),meet(X_202,meet(X_203,X_204))) != meet(X_204,meet(X_202,X_203))
| join(meet(X_202,meet(X_204,X_203)),join(Y,meet(X_202,meet(X_203,X_204)))) = join(meet(X_202,meet(X_204,X_203)),join(Y,meet(X_204,meet(X_202,X_203)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_202,meet(X_204,X_203)),join(Y,meet(X_202,meet(X_203,X_204)))),join(meet(X_202,meet(X_204,X_203)),join(Y,join(meet(X_202,meet(X_204,X_203)),meet(X_202,meet(X_203,X_204)))))) ),[1,1,1],$fot(meet(X_204,meet(X_202,X_203)))]]) ).
cnf(refute_0_394,plain,
( join(meet(X_202,meet(X_204,X_203)),join(Y,meet(X_202,meet(X_203,X_204)))) != join(meet(X_202,meet(X_204,X_203)),join(Y,join(meet(X_202,meet(X_204,X_203)),meet(X_202,meet(X_203,X_204)))))
| join(meet(X_202,meet(X_204,X_203)),join(Y,meet(X_202,meet(X_203,X_204)))) = join(meet(X_202,meet(X_204,X_203)),join(Y,meet(X_204,meet(X_202,X_203)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_202,meet(X_204,X_203)),meet(X_202,meet(X_203,X_204))),meet(X_204,meet(X_202,X_203))) )],[refute_0_304,refute_0_393]) ).
cnf(refute_0_395,plain,
join(meet(X_202,meet(X_204,X_203)),join(Y,meet(X_202,meet(X_203,X_204)))) = join(meet(X_202,meet(X_204,X_203)),join(Y,meet(X_204,meet(X_202,X_203)))),
inference(resolve,[$cnf( $equal(join(meet(X_202,meet(X_204,X_203)),join(Y,meet(X_202,meet(X_203,X_204)))),join(meet(X_202,meet(X_204,X_203)),join(Y,join(meet(X_202,meet(X_204,X_203)),meet(X_202,meet(X_203,X_204)))))) )],[refute_0_392,refute_0_394]) ).
cnf(refute_0_396,plain,
meet(join(join(X_30,X_31),X_15),join(X_15,join(X_30,X_31))) = join(join(X_30,X_31),X_15),
inference(subst,[],[refute_0_216:[bind(Y,$fot(join(X_30,X_31)))]]) ).
cnf(refute_0_397,plain,
join(join(X_30,X_31),X_15) = join(X_30,join(X_31,X_15)),
inference(subst,[],[associativity_of_join:[bind(X,$fot(X_30)),bind(Y,$fot(X_31)),bind(Z,$fot(X_15))]]) ).
cnf(refute_0_398,plain,
( join(join(X_30,X_31),X_15) != join(X_30,join(X_31,X_15))
| meet(join(join(X_30,X_31),X_15),join(X_15,join(X_30,X_31))) != join(join(X_30,X_31),X_15)
| meet(join(X_30,join(X_31,X_15)),join(X_15,join(X_30,X_31))) = join(join(X_30,X_31),X_15) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(join(X_30,X_31),X_15),join(X_15,join(X_30,X_31))),join(join(X_30,X_31),X_15)) ),[0,0],$fot(join(X_30,join(X_31,X_15)))]]) ).
cnf(refute_0_399,plain,
( meet(join(join(X_30,X_31),X_15),join(X_15,join(X_30,X_31))) != join(join(X_30,X_31),X_15)
| meet(join(X_30,join(X_31,X_15)),join(X_15,join(X_30,X_31))) = join(join(X_30,X_31),X_15) ),
inference(resolve,[$cnf( $equal(join(join(X_30,X_31),X_15),join(X_30,join(X_31,X_15))) )],[refute_0_397,refute_0_398]) ).
cnf(refute_0_400,plain,
meet(join(X_30,join(X_31,X_15)),join(X_15,join(X_30,X_31))) = join(join(X_30,X_31),X_15),
inference(resolve,[$cnf( $equal(meet(join(join(X_30,X_31),X_15),join(X_15,join(X_30,X_31))),join(join(X_30,X_31),X_15)) )],[refute_0_396,refute_0_399]) ).
cnf(refute_0_401,plain,
( join(join(X_30,X_31),X_15) != join(X_30,join(X_31,X_15))
| meet(join(X_30,join(X_31,X_15)),join(X_15,join(X_30,X_31))) != join(join(X_30,X_31),X_15)
| meet(join(X_30,join(X_31,X_15)),join(X_15,join(X_30,X_31))) = join(X_30,join(X_31,X_15)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_30,join(X_31,X_15)),join(X_15,join(X_30,X_31))),join(join(X_30,X_31),X_15)) ),[1],$fot(join(X_30,join(X_31,X_15)))]]) ).
cnf(refute_0_402,plain,
( meet(join(X_30,join(X_31,X_15)),join(X_15,join(X_30,X_31))) != join(join(X_30,X_31),X_15)
| meet(join(X_30,join(X_31,X_15)),join(X_15,join(X_30,X_31))) = join(X_30,join(X_31,X_15)) ),
inference(resolve,[$cnf( $equal(join(join(X_30,X_31),X_15),join(X_30,join(X_31,X_15))) )],[refute_0_397,refute_0_401]) ).
cnf(refute_0_403,plain,
meet(join(X_30,join(X_31,X_15)),join(X_15,join(X_30,X_31))) = join(X_30,join(X_31,X_15)),
inference(resolve,[$cnf( $equal(meet(join(X_30,join(X_31,X_15)),join(X_15,join(X_30,X_31))),join(join(X_30,X_31),X_15)) )],[refute_0_400,refute_0_402]) ).
cnf(refute_0_404,plain,
meet(join(meet(X_202,meet(X_204,X_203)),join(meet(X_202,meet(X_203,X_204)),X_15)),join(X_15,join(meet(X_202,meet(X_204,X_203)),meet(X_202,meet(X_203,X_204))))) = join(meet(X_202,meet(X_204,X_203)),join(meet(X_202,meet(X_203,X_204)),X_15)),
inference(subst,[],[refute_0_403:[bind(X_30,$fot(meet(X_202,meet(X_204,X_203)))),bind(X_31,$fot(meet(X_202,meet(X_203,X_204))))]]) ).
cnf(refute_0_405,plain,
( join(meet(X_202,meet(X_204,X_203)),meet(X_202,meet(X_203,X_204))) != meet(X_204,meet(X_202,X_203))
| meet(join(meet(X_202,meet(X_204,X_203)),join(meet(X_202,meet(X_203,X_204)),X_15)),join(X_15,join(meet(X_202,meet(X_204,X_203)),meet(X_202,meet(X_203,X_204))))) != join(meet(X_202,meet(X_204,X_203)),join(meet(X_202,meet(X_203,X_204)),X_15))
| meet(join(meet(X_202,meet(X_204,X_203)),join(meet(X_202,meet(X_203,X_204)),X_15)),join(X_15,meet(X_204,meet(X_202,X_203)))) = join(meet(X_202,meet(X_204,X_203)),join(meet(X_202,meet(X_203,X_204)),X_15)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(meet(X_202,meet(X_204,X_203)),join(meet(X_202,meet(X_203,X_204)),X_15)),join(X_15,join(meet(X_202,meet(X_204,X_203)),meet(X_202,meet(X_203,X_204))))),join(meet(X_202,meet(X_204,X_203)),join(meet(X_202,meet(X_203,X_204)),X_15))) ),[0,1,1],$fot(meet(X_204,meet(X_202,X_203)))]]) ).
cnf(refute_0_406,plain,
( meet(join(meet(X_202,meet(X_204,X_203)),join(meet(X_202,meet(X_203,X_204)),X_15)),join(X_15,join(meet(X_202,meet(X_204,X_203)),meet(X_202,meet(X_203,X_204))))) != join(meet(X_202,meet(X_204,X_203)),join(meet(X_202,meet(X_203,X_204)),X_15))
| meet(join(meet(X_202,meet(X_204,X_203)),join(meet(X_202,meet(X_203,X_204)),X_15)),join(X_15,meet(X_204,meet(X_202,X_203)))) = join(meet(X_202,meet(X_204,X_203)),join(meet(X_202,meet(X_203,X_204)),X_15)) ),
inference(resolve,[$cnf( $equal(join(meet(X_202,meet(X_204,X_203)),meet(X_202,meet(X_203,X_204))),meet(X_204,meet(X_202,X_203))) )],[refute_0_304,refute_0_405]) ).
cnf(refute_0_407,plain,
meet(join(meet(X_202,meet(X_204,X_203)),join(meet(X_202,meet(X_203,X_204)),X_15)),join(X_15,meet(X_204,meet(X_202,X_203)))) = join(meet(X_202,meet(X_204,X_203)),join(meet(X_202,meet(X_203,X_204)),X_15)),
inference(resolve,[$cnf( $equal(meet(join(meet(X_202,meet(X_204,X_203)),join(meet(X_202,meet(X_203,X_204)),X_15)),join(X_15,join(meet(X_202,meet(X_204,X_203)),meet(X_202,meet(X_203,X_204))))),join(meet(X_202,meet(X_204,X_203)),join(meet(X_202,meet(X_203,X_204)),X_15))) )],[refute_0_404,refute_0_406]) ).
cnf(refute_0_408,plain,
meet(join(Y,join(X_30,X_31)),join(join(X_30,X_31),Y)) = join(Y,join(X_30,X_31)),
inference(subst,[],[refute_0_216:[bind(X_15,$fot(join(X_30,X_31)))]]) ).
cnf(refute_0_409,plain,
join(join(X_30,X_31),Y) = join(X_30,join(X_31,Y)),
inference(subst,[],[associativity_of_join:[bind(X,$fot(X_30)),bind(Y,$fot(X_31)),bind(Z,$fot(Y))]]) ).
cnf(refute_0_410,plain,
( join(join(X_30,X_31),Y) != join(X_30,join(X_31,Y))
| meet(join(Y,join(X_30,X_31)),join(join(X_30,X_31),Y)) != join(Y,join(X_30,X_31))
| meet(join(Y,join(X_30,X_31)),join(X_30,join(X_31,Y))) = join(Y,join(X_30,X_31)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(Y,join(X_30,X_31)),join(join(X_30,X_31),Y)),join(Y,join(X_30,X_31))) ),[0,1],$fot(join(X_30,join(X_31,Y)))]]) ).
cnf(refute_0_411,plain,
( meet(join(Y,join(X_30,X_31)),join(join(X_30,X_31),Y)) != join(Y,join(X_30,X_31))
| meet(join(Y,join(X_30,X_31)),join(X_30,join(X_31,Y))) = join(Y,join(X_30,X_31)) ),
inference(resolve,[$cnf( $equal(join(join(X_30,X_31),Y),join(X_30,join(X_31,Y))) )],[refute_0_409,refute_0_410]) ).
cnf(refute_0_412,plain,
meet(join(Y,join(X_30,X_31)),join(X_30,join(X_31,Y))) = join(Y,join(X_30,X_31)),
inference(resolve,[$cnf( $equal(meet(join(Y,join(X_30,X_31)),join(join(X_30,X_31),Y)),join(Y,join(X_30,X_31))) )],[refute_0_408,refute_0_411]) ).
cnf(refute_0_413,plain,
meet(join(meet(X_202,meet(X_203,X_204)),join(X_30,meet(X_202,meet(X_204,X_203)))),join(X_30,join(meet(X_202,meet(X_204,X_203)),meet(X_202,meet(X_203,X_204))))) = join(meet(X_202,meet(X_203,X_204)),join(X_30,meet(X_202,meet(X_204,X_203)))),
inference(subst,[],[refute_0_412:[bind(Y,$fot(meet(X_202,meet(X_203,X_204)))),bind(X_31,$fot(meet(X_202,meet(X_204,X_203))))]]) ).
cnf(refute_0_414,plain,
( join(meet(X_202,meet(X_204,X_203)),meet(X_202,meet(X_203,X_204))) != meet(X_204,meet(X_202,X_203))
| meet(join(meet(X_202,meet(X_203,X_204)),join(X_30,meet(X_202,meet(X_204,X_203)))),join(X_30,join(meet(X_202,meet(X_204,X_203)),meet(X_202,meet(X_203,X_204))))) != join(meet(X_202,meet(X_203,X_204)),join(X_30,meet(X_202,meet(X_204,X_203))))
| meet(join(meet(X_202,meet(X_203,X_204)),join(X_30,meet(X_202,meet(X_204,X_203)))),join(X_30,meet(X_204,meet(X_202,X_203)))) = join(meet(X_202,meet(X_203,X_204)),join(X_30,meet(X_202,meet(X_204,X_203)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(meet(X_202,meet(X_203,X_204)),join(X_30,meet(X_202,meet(X_204,X_203)))),join(X_30,join(meet(X_202,meet(X_204,X_203)),meet(X_202,meet(X_203,X_204))))),join(meet(X_202,meet(X_203,X_204)),join(X_30,meet(X_202,meet(X_204,X_203))))) ),[0,1,1],$fot(meet(X_204,meet(X_202,X_203)))]]) ).
cnf(refute_0_415,plain,
( meet(join(meet(X_202,meet(X_203,X_204)),join(X_30,meet(X_202,meet(X_204,X_203)))),join(X_30,join(meet(X_202,meet(X_204,X_203)),meet(X_202,meet(X_203,X_204))))) != join(meet(X_202,meet(X_203,X_204)),join(X_30,meet(X_202,meet(X_204,X_203))))
| meet(join(meet(X_202,meet(X_203,X_204)),join(X_30,meet(X_202,meet(X_204,X_203)))),join(X_30,meet(X_204,meet(X_202,X_203)))) = join(meet(X_202,meet(X_203,X_204)),join(X_30,meet(X_202,meet(X_204,X_203)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_202,meet(X_204,X_203)),meet(X_202,meet(X_203,X_204))),meet(X_204,meet(X_202,X_203))) )],[refute_0_304,refute_0_414]) ).
cnf(refute_0_416,plain,
meet(join(meet(X_202,meet(X_203,X_204)),join(X_30,meet(X_202,meet(X_204,X_203)))),join(X_30,meet(X_204,meet(X_202,X_203)))) = join(meet(X_202,meet(X_203,X_204)),join(X_30,meet(X_202,meet(X_204,X_203)))),
inference(resolve,[$cnf( $equal(meet(join(meet(X_202,meet(X_203,X_204)),join(X_30,meet(X_202,meet(X_204,X_203)))),join(X_30,join(meet(X_202,meet(X_204,X_203)),meet(X_202,meet(X_203,X_204))))),join(meet(X_202,meet(X_203,X_204)),join(X_30,meet(X_202,meet(X_204,X_203))))) )],[refute_0_413,refute_0_415]) ).
cnf(refute_0_417,plain,
join(meet(X_202,meet(X_203,X_204)),meet(X_202,meet(X_204,X_203))) = meet(X_203,meet(X_202,X_204)),
inference(subst,[],[refute_0_283:[bind(X_23,$fot(X_202)),bind(X_24,$fot(X_204)),bind(X_70,$fot(X_203))]]) ).
cnf(refute_0_418,plain,
join(X_30,join(meet(X_202,meet(X_203,X_204)),meet(X_202,meet(X_204,X_203)))) = join(X_30,join(meet(X_202,meet(X_203,X_204)),meet(X_202,meet(X_204,X_203)))),
introduced(tautology,[refl,[$fot(join(X_30,join(meet(X_202,meet(X_203,X_204)),meet(X_202,meet(X_204,X_203)))))]]) ).
cnf(refute_0_419,plain,
( join(X_30,join(meet(X_202,meet(X_203,X_204)),meet(X_202,meet(X_204,X_203)))) != join(X_30,join(meet(X_202,meet(X_203,X_204)),meet(X_202,meet(X_204,X_203))))
| join(meet(X_202,meet(X_203,X_204)),meet(X_202,meet(X_204,X_203))) != meet(X_203,meet(X_202,X_204))
| join(X_30,join(meet(X_202,meet(X_203,X_204)),meet(X_202,meet(X_204,X_203)))) = join(X_30,meet(X_203,meet(X_202,X_204))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_30,join(meet(X_202,meet(X_203,X_204)),meet(X_202,meet(X_204,X_203)))),join(X_30,join(meet(X_202,meet(X_203,X_204)),meet(X_202,meet(X_204,X_203))))) ),[1,1],$fot(meet(X_203,meet(X_202,X_204)))]]) ).
cnf(refute_0_420,plain,
( join(meet(X_202,meet(X_203,X_204)),meet(X_202,meet(X_204,X_203))) != meet(X_203,meet(X_202,X_204))
| join(X_30,join(meet(X_202,meet(X_203,X_204)),meet(X_202,meet(X_204,X_203)))) = join(X_30,meet(X_203,meet(X_202,X_204))) ),
inference(resolve,[$cnf( $equal(join(X_30,join(meet(X_202,meet(X_203,X_204)),meet(X_202,meet(X_204,X_203)))),join(X_30,join(meet(X_202,meet(X_203,X_204)),meet(X_202,meet(X_204,X_203))))) )],[refute_0_418,refute_0_419]) ).
cnf(refute_0_421,plain,
join(X_30,join(meet(X_202,meet(X_203,X_204)),meet(X_202,meet(X_204,X_203)))) = join(X_30,meet(X_203,meet(X_202,X_204))),
inference(resolve,[$cnf( $equal(join(meet(X_202,meet(X_203,X_204)),meet(X_202,meet(X_204,X_203))),meet(X_203,meet(X_202,X_204))) )],[refute_0_417,refute_0_420]) ).
cnf(refute_0_422,plain,
meet(join(X_30,meet(X_204,meet(X_202,X_203))),join(X_30,join(meet(X_202,meet(X_203,X_204)),meet(X_202,meet(X_204,X_203))))) = meet(join(X_30,meet(X_204,meet(X_202,X_203))),join(X_30,join(meet(X_202,meet(X_203,X_204)),meet(X_202,meet(X_204,X_203))))),
introduced(tautology,[refl,[$fot(meet(join(X_30,meet(X_204,meet(X_202,X_203))),join(X_30,join(meet(X_202,meet(X_203,X_204)),meet(X_202,meet(X_204,X_203))))))]]) ).
cnf(refute_0_423,plain,
( join(X_30,join(meet(X_202,meet(X_203,X_204)),meet(X_202,meet(X_204,X_203)))) != join(X_30,meet(X_203,meet(X_202,X_204)))
| meet(join(X_30,meet(X_204,meet(X_202,X_203))),join(X_30,join(meet(X_202,meet(X_203,X_204)),meet(X_202,meet(X_204,X_203))))) != meet(join(X_30,meet(X_204,meet(X_202,X_203))),join(X_30,join(meet(X_202,meet(X_203,X_204)),meet(X_202,meet(X_204,X_203)))))
| meet(join(X_30,meet(X_204,meet(X_202,X_203))),join(X_30,join(meet(X_202,meet(X_203,X_204)),meet(X_202,meet(X_204,X_203))))) = meet(join(X_30,meet(X_204,meet(X_202,X_203))),join(X_30,meet(X_203,meet(X_202,X_204)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_30,meet(X_204,meet(X_202,X_203))),join(X_30,join(meet(X_202,meet(X_203,X_204)),meet(X_202,meet(X_204,X_203))))),meet(join(X_30,meet(X_204,meet(X_202,X_203))),join(X_30,join(meet(X_202,meet(X_203,X_204)),meet(X_202,meet(X_204,X_203)))))) ),[1,1],$fot(join(X_30,meet(X_203,meet(X_202,X_204))))]]) ).
cnf(refute_0_424,plain,
( join(X_30,join(meet(X_202,meet(X_203,X_204)),meet(X_202,meet(X_204,X_203)))) != join(X_30,meet(X_203,meet(X_202,X_204)))
| meet(join(X_30,meet(X_204,meet(X_202,X_203))),join(X_30,join(meet(X_202,meet(X_203,X_204)),meet(X_202,meet(X_204,X_203))))) = meet(join(X_30,meet(X_204,meet(X_202,X_203))),join(X_30,meet(X_203,meet(X_202,X_204)))) ),
inference(resolve,[$cnf( $equal(meet(join(X_30,meet(X_204,meet(X_202,X_203))),join(X_30,join(meet(X_202,meet(X_203,X_204)),meet(X_202,meet(X_204,X_203))))),meet(join(X_30,meet(X_204,meet(X_202,X_203))),join(X_30,join(meet(X_202,meet(X_203,X_204)),meet(X_202,meet(X_204,X_203)))))) )],[refute_0_422,refute_0_423]) ).
cnf(refute_0_425,plain,
meet(join(X_30,meet(X_204,meet(X_202,X_203))),join(X_30,join(meet(X_202,meet(X_203,X_204)),meet(X_202,meet(X_204,X_203))))) = meet(join(X_30,meet(X_204,meet(X_202,X_203))),join(X_30,meet(X_203,meet(X_202,X_204)))),
inference(resolve,[$cnf( $equal(join(X_30,join(meet(X_202,meet(X_203,X_204)),meet(X_202,meet(X_204,X_203)))),join(X_30,meet(X_203,meet(X_202,X_204)))) )],[refute_0_421,refute_0_424]) ).
cnf(refute_0_426,plain,
meet(join(X_196,join(X_59,X_57)),meet(X_197,join(join(X_59,X_57),X_196))) = meet(X_197,join(join(X_59,X_57),X_196)),
inference(subst,[],[refute_0_234:[bind(Y,$fot(join(X_59,X_57))),bind(X_15,$fot(X_196)),bind(X_52,$fot(X_197))]]) ).
cnf(refute_0_427,plain,
join(X_57,join(X_59,X_196)) = join(X_196,join(X_59,X_57)),
inference(subst,[],[refute_0_160:[bind(X_58,$fot(X_196))]]) ).
cnf(refute_0_428,plain,
( join(X_57,join(X_59,X_196)) != join(X_196,join(X_59,X_57))
| join(X_196,join(X_59,X_57)) = join(X_57,join(X_59,X_196)) ),
inference(subst,[],[refute_0_16:[bind(X0,$fot(join(X_57,join(X_59,X_196)))),bind(Y0,$fot(join(X_196,join(X_59,X_57))))]]) ).
cnf(refute_0_429,plain,
join(X_196,join(X_59,X_57)) = join(X_57,join(X_59,X_196)),
inference(resolve,[$cnf( $equal(join(X_57,join(X_59,X_196)),join(X_196,join(X_59,X_57))) )],[refute_0_427,refute_0_428]) ).
cnf(refute_0_430,plain,
( join(X_196,join(X_59,X_57)) != join(X_57,join(X_59,X_196))
| meet(join(X_196,join(X_59,X_57)),meet(X_197,join(join(X_59,X_57),X_196))) != meet(X_197,join(join(X_59,X_57),X_196))
| meet(join(X_57,join(X_59,X_196)),meet(X_197,join(join(X_59,X_57),X_196))) = meet(X_197,join(join(X_59,X_57),X_196)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_196,join(X_59,X_57)),meet(X_197,join(join(X_59,X_57),X_196))),meet(X_197,join(join(X_59,X_57),X_196))) ),[0,0],$fot(join(X_57,join(X_59,X_196)))]]) ).
cnf(refute_0_431,plain,
( meet(join(X_196,join(X_59,X_57)),meet(X_197,join(join(X_59,X_57),X_196))) != meet(X_197,join(join(X_59,X_57),X_196))
| meet(join(X_57,join(X_59,X_196)),meet(X_197,join(join(X_59,X_57),X_196))) = meet(X_197,join(join(X_59,X_57),X_196)) ),
inference(resolve,[$cnf( $equal(join(X_196,join(X_59,X_57)),join(X_57,join(X_59,X_196))) )],[refute_0_429,refute_0_430]) ).
cnf(refute_0_432,plain,
meet(join(X_57,join(X_59,X_196)),meet(X_197,join(join(X_59,X_57),X_196))) = meet(X_197,join(join(X_59,X_57),X_196)),
inference(resolve,[$cnf( $equal(meet(join(X_196,join(X_59,X_57)),meet(X_197,join(join(X_59,X_57),X_196))),meet(X_197,join(join(X_59,X_57),X_196))) )],[refute_0_426,refute_0_431]) ).
cnf(refute_0_433,plain,
meet(X,join(join(X_30,X_31),X)) = X,
inference(subst,[],[refute_0_2:[bind(Y,$fot(join(X_30,X_31)))]]) ).
cnf(refute_0_434,plain,
( join(join(X_30,X_31),X) != join(X_30,join(X_31,X))
| meet(X,join(join(X_30,X_31),X)) != X
| meet(X,join(X_30,join(X_31,X))) = X ),
introduced(tautology,[equality,[$cnf( $equal(meet(X,join(join(X_30,X_31),X)),X) ),[0,1],$fot(join(X_30,join(X_31,X)))]]) ).
cnf(refute_0_435,plain,
( meet(X,join(join(X_30,X_31),X)) != X
| meet(X,join(X_30,join(X_31,X))) = X ),
inference(resolve,[$cnf( $equal(join(join(X_30,X_31),X),join(X_30,join(X_31,X))) )],[refute_0_123,refute_0_434]) ).
cnf(refute_0_436,plain,
meet(X,join(X_30,join(X_31,X))) = X,
inference(resolve,[$cnf( $equal(meet(X,join(join(X_30,X_31),X)),X) )],[refute_0_433,refute_0_435]) ).
cnf(refute_0_437,plain,
meet(meet(X_35,Y),join(X_34,join(X_35,meet(X_35,Y)))) = meet(X_35,Y),
inference(subst,[],[refute_0_436:[bind(X,$fot(meet(X_35,Y))),bind(X_30,$fot(X_34)),bind(X_31,$fot(X_35))]]) ).
cnf(refute_0_438,plain,
join(X_35,meet(X_35,Y)) = X_35,
inference(subst,[],[absorption2:[bind(X,$fot(X_35))]]) ).
cnf(refute_0_439,plain,
( join(X_35,meet(X_35,Y)) != X_35
| meet(meet(X_35,Y),join(X_34,join(X_35,meet(X_35,Y)))) != meet(X_35,Y)
| meet(meet(X_35,Y),join(X_34,X_35)) = meet(X_35,Y) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_35,Y),join(X_34,join(X_35,meet(X_35,Y)))),meet(X_35,Y)) ),[0,1,1],$fot(X_35)]]) ).
cnf(refute_0_440,plain,
( meet(meet(X_35,Y),join(X_34,join(X_35,meet(X_35,Y)))) != meet(X_35,Y)
| meet(meet(X_35,Y),join(X_34,X_35)) = meet(X_35,Y) ),
inference(resolve,[$cnf( $equal(join(X_35,meet(X_35,Y)),X_35) )],[refute_0_438,refute_0_439]) ).
cnf(refute_0_441,plain,
meet(meet(X_35,Y),join(X_34,X_35)) = meet(X_35,Y),
inference(resolve,[$cnf( $equal(meet(meet(X_35,Y),join(X_34,join(X_35,meet(X_35,Y)))),meet(X_35,Y)) )],[refute_0_437,refute_0_440]) ).
cnf(refute_0_442,plain,
meet(meet(X_35,Y),join(X_34,X_35)) = meet(X_35,meet(Y,join(X_34,X_35))),
inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_35)),bind(Z,$fot(join(X_34,X_35)))]]) ).
cnf(refute_0_443,plain,
( meet(meet(X_35,Y),join(X_34,X_35)) != meet(X_35,Y)
| meet(meet(X_35,Y),join(X_34,X_35)) != meet(X_35,meet(Y,join(X_34,X_35)))
| meet(X_35,meet(Y,join(X_34,X_35))) = meet(X_35,Y) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_35,Y),join(X_34,X_35)),meet(X_35,Y)) ),[0],$fot(meet(X_35,meet(Y,join(X_34,X_35))))]]) ).
cnf(refute_0_444,plain,
( meet(meet(X_35,Y),join(X_34,X_35)) != meet(X_35,Y)
| meet(X_35,meet(Y,join(X_34,X_35))) = meet(X_35,Y) ),
inference(resolve,[$cnf( $equal(meet(meet(X_35,Y),join(X_34,X_35)),meet(X_35,meet(Y,join(X_34,X_35)))) )],[refute_0_442,refute_0_443]) ).
cnf(refute_0_445,plain,
meet(X_35,meet(Y,join(X_34,X_35))) = meet(X_35,Y),
inference(resolve,[$cnf( $equal(meet(meet(X_35,Y),join(X_34,X_35)),meet(X_35,Y)) )],[refute_0_441,refute_0_444]) ).
cnf(refute_0_446,plain,
meet(join(Y,join(X_190,X_32)),meet(X_189,join(X_190,join(Y,join(X_190,X_32))))) = meet(join(Y,join(X_190,X_32)),X_189),
inference(subst,[],[refute_0_445:[bind(Y,$fot(X_189)),bind(X_34,$fot(X_190)),bind(X_35,$fot(join(Y,join(X_190,X_32))))]]) ).
cnf(refute_0_447,plain,
join(X_190,join(Y,X_32)) = join(X_190,join(Y,join(X_190,X_32))),
inference(subst,[],[refute_0_120:[bind(X_30,$fot(X_190))]]) ).
cnf(refute_0_448,plain,
( join(X_190,join(Y,X_32)) != join(X_190,join(Y,join(X_190,X_32)))
| join(X_190,join(Y,join(X_190,X_32))) = join(X_190,join(Y,X_32)) ),
inference(subst,[],[refute_0_16:[bind(X0,$fot(join(X_190,join(Y,X_32)))),bind(Y0,$fot(join(X_190,join(Y,join(X_190,X_32)))))]]) ).
cnf(refute_0_449,plain,
join(X_190,join(Y,join(X_190,X_32))) = join(X_190,join(Y,X_32)),
inference(resolve,[$cnf( $equal(join(X_190,join(Y,X_32)),join(X_190,join(Y,join(X_190,X_32)))) )],[refute_0_447,refute_0_448]) ).
cnf(refute_0_450,plain,
( join(X_190,join(Y,join(X_190,X_32))) != join(X_190,join(Y,X_32))
| meet(join(Y,join(X_190,X_32)),meet(X_189,join(X_190,join(Y,join(X_190,X_32))))) != meet(join(Y,join(X_190,X_32)),X_189)
| meet(join(Y,join(X_190,X_32)),meet(X_189,join(X_190,join(Y,X_32)))) = meet(join(Y,join(X_190,X_32)),X_189) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(Y,join(X_190,X_32)),meet(X_189,join(X_190,join(Y,join(X_190,X_32))))),meet(join(Y,join(X_190,X_32)),X_189)) ),[0,1,1],$fot(join(X_190,join(Y,X_32)))]]) ).
cnf(refute_0_451,plain,
( meet(join(Y,join(X_190,X_32)),meet(X_189,join(X_190,join(Y,join(X_190,X_32))))) != meet(join(Y,join(X_190,X_32)),X_189)
| meet(join(Y,join(X_190,X_32)),meet(X_189,join(X_190,join(Y,X_32)))) = meet(join(Y,join(X_190,X_32)),X_189) ),
inference(resolve,[$cnf( $equal(join(X_190,join(Y,join(X_190,X_32))),join(X_190,join(Y,X_32))) )],[refute_0_449,refute_0_450]) ).
cnf(refute_0_452,plain,
meet(join(Y,join(X_190,X_32)),meet(X_189,join(X_190,join(Y,X_32)))) = meet(join(Y,join(X_190,X_32)),X_189),
inference(resolve,[$cnf( $equal(meet(join(Y,join(X_190,X_32)),meet(X_189,join(X_190,join(Y,join(X_190,X_32))))),meet(join(Y,join(X_190,X_32)),X_189)) )],[refute_0_446,refute_0_451]) ).
cnf(refute_0_453,plain,
meet(join(X_57,join(X_59,X_196)),meet(X_197,join(X_59,join(X_57,X_196)))) = meet(join(X_57,join(X_59,X_196)),X_197),
inference(subst,[],[refute_0_452:[bind(Y,$fot(X_57)),bind(X_189,$fot(X_197)),bind(X_190,$fot(X_59)),bind(X_32,$fot(X_196))]]) ).
cnf(refute_0_454,plain,
join(join(X_59,X_57),X_196) = join(X_59,join(X_57,X_196)),
inference(subst,[],[associativity_of_join:[bind(X,$fot(X_59)),bind(Y,$fot(X_57)),bind(Z,$fot(X_196))]]) ).
cnf(refute_0_455,plain,
meet(X_197,join(join(X_59,X_57),X_196)) = meet(X_197,join(join(X_59,X_57),X_196)),
introduced(tautology,[refl,[$fot(meet(X_197,join(join(X_59,X_57),X_196)))]]) ).
cnf(refute_0_456,plain,
( join(join(X_59,X_57),X_196) != join(X_59,join(X_57,X_196))
| meet(X_197,join(join(X_59,X_57),X_196)) != meet(X_197,join(join(X_59,X_57),X_196))
| meet(X_197,join(join(X_59,X_57),X_196)) = meet(X_197,join(X_59,join(X_57,X_196))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_197,join(join(X_59,X_57),X_196)),meet(X_197,join(join(X_59,X_57),X_196))) ),[1,1],$fot(join(X_59,join(X_57,X_196)))]]) ).
cnf(refute_0_457,plain,
( join(join(X_59,X_57),X_196) != join(X_59,join(X_57,X_196))
| meet(X_197,join(join(X_59,X_57),X_196)) = meet(X_197,join(X_59,join(X_57,X_196))) ),
inference(resolve,[$cnf( $equal(meet(X_197,join(join(X_59,X_57),X_196)),meet(X_197,join(join(X_59,X_57),X_196))) )],[refute_0_455,refute_0_456]) ).
cnf(refute_0_458,plain,
meet(X_197,join(join(X_59,X_57),X_196)) = meet(X_197,join(X_59,join(X_57,X_196))),
inference(resolve,[$cnf( $equal(join(join(X_59,X_57),X_196),join(X_59,join(X_57,X_196))) )],[refute_0_454,refute_0_457]) ).
cnf(refute_0_459,plain,
meet(join(X_57,join(X_59,X_196)),meet(X_197,join(join(X_59,X_57),X_196))) = meet(join(X_57,join(X_59,X_196)),meet(X_197,join(join(X_59,X_57),X_196))),
introduced(tautology,[refl,[$fot(meet(join(X_57,join(X_59,X_196)),meet(X_197,join(join(X_59,X_57),X_196))))]]) ).
cnf(refute_0_460,plain,
( meet(X_197,join(join(X_59,X_57),X_196)) != meet(X_197,join(X_59,join(X_57,X_196)))
| meet(join(X_57,join(X_59,X_196)),meet(X_197,join(join(X_59,X_57),X_196))) != meet(join(X_57,join(X_59,X_196)),meet(X_197,join(join(X_59,X_57),X_196)))
| meet(join(X_57,join(X_59,X_196)),meet(X_197,join(join(X_59,X_57),X_196))) = meet(join(X_57,join(X_59,X_196)),meet(X_197,join(X_59,join(X_57,X_196)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_57,join(X_59,X_196)),meet(X_197,join(join(X_59,X_57),X_196))),meet(join(X_57,join(X_59,X_196)),meet(X_197,join(join(X_59,X_57),X_196)))) ),[1,1],$fot(meet(X_197,join(X_59,join(X_57,X_196))))]]) ).
cnf(refute_0_461,plain,
( meet(X_197,join(join(X_59,X_57),X_196)) != meet(X_197,join(X_59,join(X_57,X_196)))
| meet(join(X_57,join(X_59,X_196)),meet(X_197,join(join(X_59,X_57),X_196))) = meet(join(X_57,join(X_59,X_196)),meet(X_197,join(X_59,join(X_57,X_196)))) ),
inference(resolve,[$cnf( $equal(meet(join(X_57,join(X_59,X_196)),meet(X_197,join(join(X_59,X_57),X_196))),meet(join(X_57,join(X_59,X_196)),meet(X_197,join(join(X_59,X_57),X_196)))) )],[refute_0_459,refute_0_460]) ).
cnf(refute_0_462,plain,
meet(join(X_57,join(X_59,X_196)),meet(X_197,join(join(X_59,X_57),X_196))) = meet(join(X_57,join(X_59,X_196)),meet(X_197,join(X_59,join(X_57,X_196)))),
inference(resolve,[$cnf( $equal(meet(X_197,join(join(X_59,X_57),X_196)),meet(X_197,join(X_59,join(X_57,X_196)))) )],[refute_0_458,refute_0_461]) ).
cnf(refute_0_463,plain,
( meet(join(X_57,join(X_59,X_196)),meet(X_197,join(X_59,join(X_57,X_196)))) != meet(join(X_57,join(X_59,X_196)),X_197)
| meet(join(X_57,join(X_59,X_196)),meet(X_197,join(join(X_59,X_57),X_196))) != meet(join(X_57,join(X_59,X_196)),meet(X_197,join(X_59,join(X_57,X_196))))
| meet(join(X_57,join(X_59,X_196)),meet(X_197,join(join(X_59,X_57),X_196))) = meet(join(X_57,join(X_59,X_196)),X_197) ),
inference(subst,[],[refute_0_93:[bind(X0,$fot(meet(join(X_57,join(X_59,X_196)),meet(X_197,join(join(X_59,X_57),X_196))))),bind(Y0,$fot(meet(join(X_57,join(X_59,X_196)),meet(X_197,join(X_59,join(X_57,X_196)))))),bind(Z0,$fot(meet(join(X_57,join(X_59,X_196)),X_197)))]]) ).
cnf(refute_0_464,plain,
( meet(join(X_57,join(X_59,X_196)),meet(X_197,join(X_59,join(X_57,X_196)))) != meet(join(X_57,join(X_59,X_196)),X_197)
| meet(join(X_57,join(X_59,X_196)),meet(X_197,join(join(X_59,X_57),X_196))) = meet(join(X_57,join(X_59,X_196)),X_197) ),
inference(resolve,[$cnf( $equal(meet(join(X_57,join(X_59,X_196)),meet(X_197,join(join(X_59,X_57),X_196))),meet(join(X_57,join(X_59,X_196)),meet(X_197,join(X_59,join(X_57,X_196))))) )],[refute_0_462,refute_0_463]) ).
cnf(refute_0_465,plain,
meet(join(X_57,join(X_59,X_196)),meet(X_197,join(join(X_59,X_57),X_196))) = meet(join(X_57,join(X_59,X_196)),X_197),
inference(resolve,[$cnf( $equal(meet(join(X_57,join(X_59,X_196)),meet(X_197,join(X_59,join(X_57,X_196)))),meet(join(X_57,join(X_59,X_196)),X_197)) )],[refute_0_453,refute_0_464]) ).
cnf(refute_0_466,plain,
( meet(join(X_57,join(X_59,X_196)),meet(X_197,join(join(X_59,X_57),X_196))) != meet(X_197,join(join(X_59,X_57),X_196))
| meet(join(X_57,join(X_59,X_196)),meet(X_197,join(join(X_59,X_57),X_196))) != meet(join(X_57,join(X_59,X_196)),X_197)
| meet(join(X_57,join(X_59,X_196)),X_197) = meet(X_197,join(join(X_59,X_57),X_196)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_57,join(X_59,X_196)),meet(X_197,join(join(X_59,X_57),X_196))),meet(X_197,join(join(X_59,X_57),X_196))) ),[0],$fot(meet(join(X_57,join(X_59,X_196)),X_197))]]) ).
cnf(refute_0_467,plain,
( meet(join(X_57,join(X_59,X_196)),meet(X_197,join(join(X_59,X_57),X_196))) != meet(X_197,join(join(X_59,X_57),X_196))
| meet(join(X_57,join(X_59,X_196)),X_197) = meet(X_197,join(join(X_59,X_57),X_196)) ),
inference(resolve,[$cnf( $equal(meet(join(X_57,join(X_59,X_196)),meet(X_197,join(join(X_59,X_57),X_196))),meet(join(X_57,join(X_59,X_196)),X_197)) )],[refute_0_465,refute_0_466]) ).
cnf(refute_0_468,plain,
( meet(X_197,join(join(X_59,X_57),X_196)) != meet(X_197,join(X_59,join(X_57,X_196)))
| meet(join(X_57,join(X_59,X_196)),X_197) != meet(X_197,join(join(X_59,X_57),X_196))
| meet(join(X_57,join(X_59,X_196)),X_197) = meet(X_197,join(X_59,join(X_57,X_196))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_57,join(X_59,X_196)),X_197),meet(X_197,join(join(X_59,X_57),X_196))) ),[1],$fot(meet(X_197,join(X_59,join(X_57,X_196))))]]) ).
cnf(refute_0_469,plain,
( meet(join(X_57,join(X_59,X_196)),X_197) != meet(X_197,join(join(X_59,X_57),X_196))
| meet(join(X_57,join(X_59,X_196)),X_197) = meet(X_197,join(X_59,join(X_57,X_196))) ),
inference(resolve,[$cnf( $equal(meet(X_197,join(join(X_59,X_57),X_196)),meet(X_197,join(X_59,join(X_57,X_196)))) )],[refute_0_458,refute_0_468]) ).
cnf(refute_0_470,plain,
( meet(join(X_57,join(X_59,X_196)),meet(X_197,join(join(X_59,X_57),X_196))) != meet(X_197,join(join(X_59,X_57),X_196))
| meet(join(X_57,join(X_59,X_196)),X_197) = meet(X_197,join(X_59,join(X_57,X_196))) ),
inference(resolve,[$cnf( $equal(meet(join(X_57,join(X_59,X_196)),X_197),meet(X_197,join(join(X_59,X_57),X_196))) )],[refute_0_467,refute_0_469]) ).
cnf(refute_0_471,plain,
meet(join(X_57,join(X_59,X_196)),X_197) = meet(X_197,join(X_59,join(X_57,X_196))),
inference(resolve,[$cnf( $equal(meet(join(X_57,join(X_59,X_196)),meet(X_197,join(join(X_59,X_57),X_196))),meet(X_197,join(join(X_59,X_57),X_196))) )],[refute_0_432,refute_0_470]) ).
cnf(refute_0_472,plain,
meet(join(meet(X_202,meet(X_203,X_204)),join(X_30,meet(X_202,meet(X_204,X_203)))),join(X_30,meet(X_204,meet(X_202,X_203)))) = meet(join(X_30,meet(X_204,meet(X_202,X_203))),join(X_30,join(meet(X_202,meet(X_203,X_204)),meet(X_202,meet(X_204,X_203))))),
inference(subst,[],[refute_0_471:[bind(X_196,$fot(meet(X_202,meet(X_204,X_203)))),bind(X_197,$fot(join(X_30,meet(X_204,meet(X_202,X_203))))),bind(X_57,$fot(meet(X_202,meet(X_203,X_204)))),bind(X_59,$fot(X_30))]]) ).
cnf(refute_0_473,plain,
( meet(join(X_30,meet(X_204,meet(X_202,X_203))),join(X_30,join(meet(X_202,meet(X_203,X_204)),meet(X_202,meet(X_204,X_203))))) != meet(join(X_30,meet(X_204,meet(X_202,X_203))),join(X_30,meet(X_203,meet(X_202,X_204))))
| meet(join(meet(X_202,meet(X_203,X_204)),join(X_30,meet(X_202,meet(X_204,X_203)))),join(X_30,meet(X_204,meet(X_202,X_203)))) != meet(join(X_30,meet(X_204,meet(X_202,X_203))),join(X_30,join(meet(X_202,meet(X_203,X_204)),meet(X_202,meet(X_204,X_203)))))
| meet(join(meet(X_202,meet(X_203,X_204)),join(X_30,meet(X_202,meet(X_204,X_203)))),join(X_30,meet(X_204,meet(X_202,X_203)))) = meet(join(X_30,meet(X_204,meet(X_202,X_203))),join(X_30,meet(X_203,meet(X_202,X_204)))) ),
inference(subst,[],[refute_0_93:[bind(X0,$fot(meet(join(meet(X_202,meet(X_203,X_204)),join(X_30,meet(X_202,meet(X_204,X_203)))),join(X_30,meet(X_204,meet(X_202,X_203)))))),bind(Y0,$fot(meet(join(X_30,meet(X_204,meet(X_202,X_203))),join(X_30,join(meet(X_202,meet(X_203,X_204)),meet(X_202,meet(X_204,X_203))))))),bind(Z0,$fot(meet(join(X_30,meet(X_204,meet(X_202,X_203))),join(X_30,meet(X_203,meet(X_202,X_204))))))]]) ).
cnf(refute_0_474,plain,
( meet(join(X_30,meet(X_204,meet(X_202,X_203))),join(X_30,join(meet(X_202,meet(X_203,X_204)),meet(X_202,meet(X_204,X_203))))) != meet(join(X_30,meet(X_204,meet(X_202,X_203))),join(X_30,meet(X_203,meet(X_202,X_204))))
| meet(join(meet(X_202,meet(X_203,X_204)),join(X_30,meet(X_202,meet(X_204,X_203)))),join(X_30,meet(X_204,meet(X_202,X_203)))) = meet(join(X_30,meet(X_204,meet(X_202,X_203))),join(X_30,meet(X_203,meet(X_202,X_204)))) ),
inference(resolve,[$cnf( $equal(meet(join(meet(X_202,meet(X_203,X_204)),join(X_30,meet(X_202,meet(X_204,X_203)))),join(X_30,meet(X_204,meet(X_202,X_203)))),meet(join(X_30,meet(X_204,meet(X_202,X_203))),join(X_30,join(meet(X_202,meet(X_203,X_204)),meet(X_202,meet(X_204,X_203)))))) )],[refute_0_472,refute_0_473]) ).
cnf(refute_0_475,plain,
meet(join(meet(X_202,meet(X_203,X_204)),join(X_30,meet(X_202,meet(X_204,X_203)))),join(X_30,meet(X_204,meet(X_202,X_203)))) = meet(join(X_30,meet(X_204,meet(X_202,X_203))),join(X_30,meet(X_203,meet(X_202,X_204)))),
inference(resolve,[$cnf( $equal(meet(join(X_30,meet(X_204,meet(X_202,X_203))),join(X_30,join(meet(X_202,meet(X_203,X_204)),meet(X_202,meet(X_204,X_203))))),meet(join(X_30,meet(X_204,meet(X_202,X_203))),join(X_30,meet(X_203,meet(X_202,X_204))))) )],[refute_0_425,refute_0_474]) ).
cnf(refute_0_476,plain,
( meet(join(meet(X_202,meet(X_203,X_204)),join(X_30,meet(X_202,meet(X_204,X_203)))),join(X_30,meet(X_204,meet(X_202,X_203)))) != join(meet(X_202,meet(X_203,X_204)),join(X_30,meet(X_202,meet(X_204,X_203))))
| meet(join(meet(X_202,meet(X_203,X_204)),join(X_30,meet(X_202,meet(X_204,X_203)))),join(X_30,meet(X_204,meet(X_202,X_203)))) != meet(join(X_30,meet(X_204,meet(X_202,X_203))),join(X_30,meet(X_203,meet(X_202,X_204))))
| meet(join(X_30,meet(X_204,meet(X_202,X_203))),join(X_30,meet(X_203,meet(X_202,X_204)))) = join(meet(X_202,meet(X_203,X_204)),join(X_30,meet(X_202,meet(X_204,X_203)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(meet(X_202,meet(X_203,X_204)),join(X_30,meet(X_202,meet(X_204,X_203)))),join(X_30,meet(X_204,meet(X_202,X_203)))),join(meet(X_202,meet(X_203,X_204)),join(X_30,meet(X_202,meet(X_204,X_203))))) ),[0],$fot(meet(join(X_30,meet(X_204,meet(X_202,X_203))),join(X_30,meet(X_203,meet(X_202,X_204)))))]]) ).
cnf(refute_0_477,plain,
( meet(join(meet(X_202,meet(X_203,X_204)),join(X_30,meet(X_202,meet(X_204,X_203)))),join(X_30,meet(X_204,meet(X_202,X_203)))) != join(meet(X_202,meet(X_203,X_204)),join(X_30,meet(X_202,meet(X_204,X_203))))
| meet(join(X_30,meet(X_204,meet(X_202,X_203))),join(X_30,meet(X_203,meet(X_202,X_204)))) = join(meet(X_202,meet(X_203,X_204)),join(X_30,meet(X_202,meet(X_204,X_203)))) ),
inference(resolve,[$cnf( $equal(meet(join(meet(X_202,meet(X_203,X_204)),join(X_30,meet(X_202,meet(X_204,X_203)))),join(X_30,meet(X_204,meet(X_202,X_203)))),meet(join(X_30,meet(X_204,meet(X_202,X_203))),join(X_30,meet(X_203,meet(X_202,X_204))))) )],[refute_0_475,refute_0_476]) ).
cnf(refute_0_478,plain,
meet(join(X_30,meet(X_204,meet(X_202,X_203))),join(X_30,meet(X_203,meet(X_202,X_204)))) = join(meet(X_202,meet(X_203,X_204)),join(X_30,meet(X_202,meet(X_204,X_203)))),
inference(resolve,[$cnf( $equal(meet(join(meet(X_202,meet(X_203,X_204)),join(X_30,meet(X_202,meet(X_204,X_203)))),join(X_30,meet(X_204,meet(X_202,X_203)))),join(meet(X_202,meet(X_203,X_204)),join(X_30,meet(X_202,meet(X_204,X_203))))) )],[refute_0_416,refute_0_477]) ).
cnf(refute_0_479,plain,
meet(join(X_15,meet(X_204,meet(X_202,X_203))),join(X_15,meet(X_203,meet(X_202,X_204)))) = join(meet(X_202,meet(X_203,X_204)),join(X_15,meet(X_202,meet(X_204,X_203)))),
inference(subst,[],[refute_0_478:[bind(X_30,$fot(X_15))]]) ).
cnf(refute_0_480,plain,
join(X_150,meet(X_152,meet(X_23,X_24))) = join(meet(X_152,meet(X_23,X_24)),join(meet(meet(X_23,X_24),X_152),X_150)),
inference(subst,[],[refute_0_311:[bind(X,$fot(X_150)),bind(X_69,$fot(meet(X_23,X_24))),bind(X_70,$fot(X_152))]]) ).
cnf(refute_0_481,plain,
meet(X_23,meet(X_152,X_24)) = meet(X_152,meet(X_23,X_24)),
inference(subst,[],[refute_0_269:[bind(X_22,$fot(X_152))]]) ).
cnf(refute_0_482,plain,
( meet(X_23,meet(X_152,X_24)) != meet(X_152,meet(X_23,X_24))
| meet(X_152,meet(X_23,X_24)) = meet(X_23,meet(X_152,X_24)) ),
inference(subst,[],[refute_0_16:[bind(X0,$fot(meet(X_23,meet(X_152,X_24)))),bind(Y0,$fot(meet(X_152,meet(X_23,X_24))))]]) ).
cnf(refute_0_483,plain,
meet(X_152,meet(X_23,X_24)) = meet(X_23,meet(X_152,X_24)),
inference(resolve,[$cnf( $equal(meet(X_23,meet(X_152,X_24)),meet(X_152,meet(X_23,X_24))) )],[refute_0_481,refute_0_482]) ).
cnf(refute_0_484,plain,
( join(X_150,meet(X_152,meet(X_23,X_24))) != join(meet(X_152,meet(X_23,X_24)),join(meet(meet(X_23,X_24),X_152),X_150))
| meet(X_152,meet(X_23,X_24)) != meet(X_23,meet(X_152,X_24))
| join(X_150,meet(X_152,meet(X_23,X_24))) = join(meet(X_23,meet(X_152,X_24)),join(meet(meet(X_23,X_24),X_152),X_150)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_150,meet(X_152,meet(X_23,X_24))),join(meet(X_152,meet(X_23,X_24)),join(meet(meet(X_23,X_24),X_152),X_150))) ),[1,0],$fot(meet(X_23,meet(X_152,X_24)))]]) ).
cnf(refute_0_485,plain,
( join(X_150,meet(X_152,meet(X_23,X_24))) != join(meet(X_152,meet(X_23,X_24)),join(meet(meet(X_23,X_24),X_152),X_150))
| join(X_150,meet(X_152,meet(X_23,X_24))) = join(meet(X_23,meet(X_152,X_24)),join(meet(meet(X_23,X_24),X_152),X_150)) ),
inference(resolve,[$cnf( $equal(meet(X_152,meet(X_23,X_24)),meet(X_23,meet(X_152,X_24))) )],[refute_0_483,refute_0_484]) ).
cnf(refute_0_486,plain,
join(X_150,meet(X_152,meet(X_23,X_24))) = join(meet(X_23,meet(X_152,X_24)),join(meet(meet(X_23,X_24),X_152),X_150)),
inference(resolve,[$cnf( $equal(join(X_150,meet(X_152,meet(X_23,X_24))),join(meet(X_152,meet(X_23,X_24)),join(meet(meet(X_23,X_24),X_152),X_150))) )],[refute_0_480,refute_0_485]) ).
cnf(refute_0_487,plain,
meet(meet(X_23,X_24),X_152) = meet(X_23,meet(X_24,X_152)),
inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_23)),bind(Y,$fot(X_24)),bind(Z,$fot(X_152))]]) ).
cnf(refute_0_488,plain,
join(meet(meet(X_23,X_24),X_152),X_150) = join(meet(meet(X_23,X_24),X_152),X_150),
introduced(tautology,[refl,[$fot(join(meet(meet(X_23,X_24),X_152),X_150))]]) ).
cnf(refute_0_489,plain,
( join(meet(meet(X_23,X_24),X_152),X_150) != join(meet(meet(X_23,X_24),X_152),X_150)
| meet(meet(X_23,X_24),X_152) != meet(X_23,meet(X_24,X_152))
| join(meet(meet(X_23,X_24),X_152),X_150) = join(meet(X_23,meet(X_24,X_152)),X_150) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(X_23,X_24),X_152),X_150),join(meet(meet(X_23,X_24),X_152),X_150)) ),[1,0],$fot(meet(X_23,meet(X_24,X_152)))]]) ).
cnf(refute_0_490,plain,
( meet(meet(X_23,X_24),X_152) != meet(X_23,meet(X_24,X_152))
| join(meet(meet(X_23,X_24),X_152),X_150) = join(meet(X_23,meet(X_24,X_152)),X_150) ),
inference(resolve,[$cnf( $equal(join(meet(meet(X_23,X_24),X_152),X_150),join(meet(meet(X_23,X_24),X_152),X_150)) )],[refute_0_488,refute_0_489]) ).
cnf(refute_0_491,plain,
join(meet(meet(X_23,X_24),X_152),X_150) = join(meet(X_23,meet(X_24,X_152)),X_150),
inference(resolve,[$cnf( $equal(meet(meet(X_23,X_24),X_152),meet(X_23,meet(X_24,X_152))) )],[refute_0_487,refute_0_490]) ).
cnf(refute_0_492,plain,
join(meet(X_23,meet(X_152,X_24)),join(meet(meet(X_23,X_24),X_152),X_150)) = join(meet(X_23,meet(X_152,X_24)),join(meet(meet(X_23,X_24),X_152),X_150)),
introduced(tautology,[refl,[$fot(join(meet(X_23,meet(X_152,X_24)),join(meet(meet(X_23,X_24),X_152),X_150)))]]) ).
cnf(refute_0_493,plain,
( join(meet(X_23,meet(X_152,X_24)),join(meet(meet(X_23,X_24),X_152),X_150)) != join(meet(X_23,meet(X_152,X_24)),join(meet(meet(X_23,X_24),X_152),X_150))
| join(meet(meet(X_23,X_24),X_152),X_150) != join(meet(X_23,meet(X_24,X_152)),X_150)
| join(meet(X_23,meet(X_152,X_24)),join(meet(meet(X_23,X_24),X_152),X_150)) = join(meet(X_23,meet(X_152,X_24)),join(meet(X_23,meet(X_24,X_152)),X_150)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_23,meet(X_152,X_24)),join(meet(meet(X_23,X_24),X_152),X_150)),join(meet(X_23,meet(X_152,X_24)),join(meet(meet(X_23,X_24),X_152),X_150))) ),[1,1],$fot(join(meet(X_23,meet(X_24,X_152)),X_150))]]) ).
cnf(refute_0_494,plain,
( join(meet(meet(X_23,X_24),X_152),X_150) != join(meet(X_23,meet(X_24,X_152)),X_150)
| join(meet(X_23,meet(X_152,X_24)),join(meet(meet(X_23,X_24),X_152),X_150)) = join(meet(X_23,meet(X_152,X_24)),join(meet(X_23,meet(X_24,X_152)),X_150)) ),
inference(resolve,[$cnf( $equal(join(meet(X_23,meet(X_152,X_24)),join(meet(meet(X_23,X_24),X_152),X_150)),join(meet(X_23,meet(X_152,X_24)),join(meet(meet(X_23,X_24),X_152),X_150))) )],[refute_0_492,refute_0_493]) ).
cnf(refute_0_495,plain,
join(meet(X_23,meet(X_152,X_24)),join(meet(meet(X_23,X_24),X_152),X_150)) = join(meet(X_23,meet(X_152,X_24)),join(meet(X_23,meet(X_24,X_152)),X_150)),
inference(resolve,[$cnf( $equal(join(meet(meet(X_23,X_24),X_152),X_150),join(meet(X_23,meet(X_24,X_152)),X_150)) )],[refute_0_491,refute_0_494]) ).
cnf(refute_0_496,plain,
( join(X_150,meet(X_152,meet(X_23,X_24))) != join(meet(X_23,meet(X_152,X_24)),join(meet(meet(X_23,X_24),X_152),X_150))
| join(meet(X_23,meet(X_152,X_24)),join(meet(meet(X_23,X_24),X_152),X_150)) != join(meet(X_23,meet(X_152,X_24)),join(meet(X_23,meet(X_24,X_152)),X_150))
| join(X_150,meet(X_152,meet(X_23,X_24))) = join(meet(X_23,meet(X_152,X_24)),join(meet(X_23,meet(X_24,X_152)),X_150)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_150,meet(X_152,meet(X_23,X_24))),join(meet(X_23,meet(X_152,X_24)),join(meet(X_23,meet(X_24,X_152)),X_150))) ),[0],$fot(join(meet(X_23,meet(X_152,X_24)),join(meet(meet(X_23,X_24),X_152),X_150)))]]) ).
cnf(refute_0_497,plain,
( join(X_150,meet(X_152,meet(X_23,X_24))) != join(meet(X_23,meet(X_152,X_24)),join(meet(meet(X_23,X_24),X_152),X_150))
| join(X_150,meet(X_152,meet(X_23,X_24))) = join(meet(X_23,meet(X_152,X_24)),join(meet(X_23,meet(X_24,X_152)),X_150)) ),
inference(resolve,[$cnf( $equal(join(meet(X_23,meet(X_152,X_24)),join(meet(meet(X_23,X_24),X_152),X_150)),join(meet(X_23,meet(X_152,X_24)),join(meet(X_23,meet(X_24,X_152)),X_150))) )],[refute_0_495,refute_0_496]) ).
cnf(refute_0_498,plain,
join(X_150,meet(X_152,meet(X_23,X_24))) = join(meet(X_23,meet(X_152,X_24)),join(meet(X_23,meet(X_24,X_152)),X_150)),
inference(resolve,[$cnf( $equal(join(X_150,meet(X_152,meet(X_23,X_24))),join(meet(X_23,meet(X_152,X_24)),join(meet(meet(X_23,X_24),X_152),X_150))) )],[refute_0_486,refute_0_497]) ).
cnf(refute_0_499,plain,
( join(X_150,meet(X_152,meet(X_23,X_24))) != join(meet(X_23,meet(X_152,X_24)),join(meet(X_23,meet(X_24,X_152)),X_150))
| join(meet(X_23,meet(X_152,X_24)),join(meet(X_23,meet(X_24,X_152)),X_150)) = join(X_150,meet(X_152,meet(X_23,X_24))) ),
inference(subst,[],[refute_0_16:[bind(X0,$fot(join(X_150,meet(X_152,meet(X_23,X_24))))),bind(Y0,$fot(join(meet(X_23,meet(X_152,X_24)),join(meet(X_23,meet(X_24,X_152)),X_150))))]]) ).
cnf(refute_0_500,plain,
join(meet(X_23,meet(X_152,X_24)),join(meet(X_23,meet(X_24,X_152)),X_150)) = join(X_150,meet(X_152,meet(X_23,X_24))),
inference(resolve,[$cnf( $equal(join(X_150,meet(X_152,meet(X_23,X_24))),join(meet(X_23,meet(X_152,X_24)),join(meet(X_23,meet(X_24,X_152)),X_150))) )],[refute_0_498,refute_0_499]) ).
cnf(refute_0_501,plain,
join(meet(X_202,meet(X_203,X_204)),join(meet(X_202,meet(X_204,X_203)),X_15)) = join(X_15,meet(X_203,meet(X_202,X_204))),
inference(subst,[],[refute_0_500:[bind(X_150,$fot(X_15)),bind(X_152,$fot(X_203)),bind(X_23,$fot(X_202)),bind(X_24,$fot(X_204))]]) ).
cnf(refute_0_502,plain,
meet(join(X_15,meet(X_204,meet(X_202,X_203))),join(meet(X_202,meet(X_203,X_204)),join(meet(X_202,meet(X_204,X_203)),X_15))) = meet(join(X_15,meet(X_204,meet(X_202,X_203))),join(meet(X_202,meet(X_203,X_204)),join(meet(X_202,meet(X_204,X_203)),X_15))),
introduced(tautology,[refl,[$fot(meet(join(X_15,meet(X_204,meet(X_202,X_203))),join(meet(X_202,meet(X_203,X_204)),join(meet(X_202,meet(X_204,X_203)),X_15))))]]) ).
cnf(refute_0_503,plain,
( join(meet(X_202,meet(X_203,X_204)),join(meet(X_202,meet(X_204,X_203)),X_15)) != join(X_15,meet(X_203,meet(X_202,X_204)))
| meet(join(X_15,meet(X_204,meet(X_202,X_203))),join(meet(X_202,meet(X_203,X_204)),join(meet(X_202,meet(X_204,X_203)),X_15))) != meet(join(X_15,meet(X_204,meet(X_202,X_203))),join(meet(X_202,meet(X_203,X_204)),join(meet(X_202,meet(X_204,X_203)),X_15)))
| meet(join(X_15,meet(X_204,meet(X_202,X_203))),join(meet(X_202,meet(X_203,X_204)),join(meet(X_202,meet(X_204,X_203)),X_15))) = meet(join(X_15,meet(X_204,meet(X_202,X_203))),join(X_15,meet(X_203,meet(X_202,X_204)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_15,meet(X_204,meet(X_202,X_203))),join(meet(X_202,meet(X_203,X_204)),join(meet(X_202,meet(X_204,X_203)),X_15))),meet(join(X_15,meet(X_204,meet(X_202,X_203))),join(meet(X_202,meet(X_203,X_204)),join(meet(X_202,meet(X_204,X_203)),X_15)))) ),[1,1],$fot(join(X_15,meet(X_203,meet(X_202,X_204))))]]) ).
cnf(refute_0_504,plain,
( join(meet(X_202,meet(X_203,X_204)),join(meet(X_202,meet(X_204,X_203)),X_15)) != join(X_15,meet(X_203,meet(X_202,X_204)))
| meet(join(X_15,meet(X_204,meet(X_202,X_203))),join(meet(X_202,meet(X_203,X_204)),join(meet(X_202,meet(X_204,X_203)),X_15))) = meet(join(X_15,meet(X_204,meet(X_202,X_203))),join(X_15,meet(X_203,meet(X_202,X_204)))) ),
inference(resolve,[$cnf( $equal(meet(join(X_15,meet(X_204,meet(X_202,X_203))),join(meet(X_202,meet(X_203,X_204)),join(meet(X_202,meet(X_204,X_203)),X_15))),meet(join(X_15,meet(X_204,meet(X_202,X_203))),join(meet(X_202,meet(X_203,X_204)),join(meet(X_202,meet(X_204,X_203)),X_15)))) )],[refute_0_502,refute_0_503]) ).
cnf(refute_0_505,plain,
meet(join(X_15,meet(X_204,meet(X_202,X_203))),join(meet(X_202,meet(X_203,X_204)),join(meet(X_202,meet(X_204,X_203)),X_15))) = meet(join(X_15,meet(X_204,meet(X_202,X_203))),join(X_15,meet(X_203,meet(X_202,X_204)))),
inference(resolve,[$cnf( $equal(join(meet(X_202,meet(X_203,X_204)),join(meet(X_202,meet(X_204,X_203)),X_15)),join(X_15,meet(X_203,meet(X_202,X_204)))) )],[refute_0_501,refute_0_504]) ).
cnf(refute_0_506,plain,
( meet(join(X_15,meet(X_204,meet(X_202,X_203))),join(X_15,meet(X_203,meet(X_202,X_204)))) != join(meet(X_202,meet(X_203,X_204)),join(X_15,meet(X_202,meet(X_204,X_203))))
| meet(join(X_15,meet(X_204,meet(X_202,X_203))),join(meet(X_202,meet(X_203,X_204)),join(meet(X_202,meet(X_204,X_203)),X_15))) != meet(join(X_15,meet(X_204,meet(X_202,X_203))),join(X_15,meet(X_203,meet(X_202,X_204))))
| meet(join(X_15,meet(X_204,meet(X_202,X_203))),join(meet(X_202,meet(X_203,X_204)),join(meet(X_202,meet(X_204,X_203)),X_15))) = join(meet(X_202,meet(X_203,X_204)),join(X_15,meet(X_202,meet(X_204,X_203)))) ),
inference(subst,[],[refute_0_93:[bind(X0,$fot(meet(join(X_15,meet(X_204,meet(X_202,X_203))),join(meet(X_202,meet(X_203,X_204)),join(meet(X_202,meet(X_204,X_203)),X_15))))),bind(Y0,$fot(meet(join(X_15,meet(X_204,meet(X_202,X_203))),join(X_15,meet(X_203,meet(X_202,X_204)))))),bind(Z0,$fot(join(meet(X_202,meet(X_203,X_204)),join(X_15,meet(X_202,meet(X_204,X_203))))))]]) ).
cnf(refute_0_507,plain,
( meet(join(X_15,meet(X_204,meet(X_202,X_203))),join(X_15,meet(X_203,meet(X_202,X_204)))) != join(meet(X_202,meet(X_203,X_204)),join(X_15,meet(X_202,meet(X_204,X_203))))
| meet(join(X_15,meet(X_204,meet(X_202,X_203))),join(meet(X_202,meet(X_203,X_204)),join(meet(X_202,meet(X_204,X_203)),X_15))) = join(meet(X_202,meet(X_203,X_204)),join(X_15,meet(X_202,meet(X_204,X_203)))) ),
inference(resolve,[$cnf( $equal(meet(join(X_15,meet(X_204,meet(X_202,X_203))),join(meet(X_202,meet(X_203,X_204)),join(meet(X_202,meet(X_204,X_203)),X_15))),meet(join(X_15,meet(X_204,meet(X_202,X_203))),join(X_15,meet(X_203,meet(X_202,X_204))))) )],[refute_0_505,refute_0_506]) ).
cnf(refute_0_508,plain,
meet(join(X_15,meet(X_204,meet(X_202,X_203))),join(meet(X_202,meet(X_203,X_204)),join(meet(X_202,meet(X_204,X_203)),X_15))) = join(meet(X_202,meet(X_203,X_204)),join(X_15,meet(X_202,meet(X_204,X_203)))),
inference(resolve,[$cnf( $equal(meet(join(X_15,meet(X_204,meet(X_202,X_203))),join(X_15,meet(X_203,meet(X_202,X_204)))),join(meet(X_202,meet(X_203,X_204)),join(X_15,meet(X_202,meet(X_204,X_203))))) )],[refute_0_479,refute_0_507]) ).
cnf(refute_0_509,plain,
meet(join(meet(X_202,meet(X_204,X_203)),join(meet(X_202,meet(X_203,X_204)),X_15)),join(X_15,meet(X_204,meet(X_202,X_203)))) = meet(join(X_15,meet(X_204,meet(X_202,X_203))),join(meet(X_202,meet(X_203,X_204)),join(meet(X_202,meet(X_204,X_203)),X_15))),
inference(subst,[],[refute_0_471:[bind(X_196,$fot(X_15)),bind(X_197,$fot(join(X_15,meet(X_204,meet(X_202,X_203))))),bind(X_57,$fot(meet(X_202,meet(X_204,X_203)))),bind(X_59,$fot(meet(X_202,meet(X_203,X_204))))]]) ).
cnf(refute_0_510,plain,
( meet(join(X_15,meet(X_204,meet(X_202,X_203))),join(meet(X_202,meet(X_203,X_204)),join(meet(X_202,meet(X_204,X_203)),X_15))) != join(meet(X_202,meet(X_203,X_204)),join(X_15,meet(X_202,meet(X_204,X_203))))
| meet(join(meet(X_202,meet(X_204,X_203)),join(meet(X_202,meet(X_203,X_204)),X_15)),join(X_15,meet(X_204,meet(X_202,X_203)))) != meet(join(X_15,meet(X_204,meet(X_202,X_203))),join(meet(X_202,meet(X_203,X_204)),join(meet(X_202,meet(X_204,X_203)),X_15)))
| meet(join(meet(X_202,meet(X_204,X_203)),join(meet(X_202,meet(X_203,X_204)),X_15)),join(X_15,meet(X_204,meet(X_202,X_203)))) = join(meet(X_202,meet(X_203,X_204)),join(X_15,meet(X_202,meet(X_204,X_203)))) ),
inference(subst,[],[refute_0_93:[bind(X0,$fot(meet(join(meet(X_202,meet(X_204,X_203)),join(meet(X_202,meet(X_203,X_204)),X_15)),join(X_15,meet(X_204,meet(X_202,X_203)))))),bind(Y0,$fot(meet(join(X_15,meet(X_204,meet(X_202,X_203))),join(meet(X_202,meet(X_203,X_204)),join(meet(X_202,meet(X_204,X_203)),X_15))))),bind(Z0,$fot(join(meet(X_202,meet(X_203,X_204)),join(X_15,meet(X_202,meet(X_204,X_203))))))]]) ).
cnf(refute_0_511,plain,
( meet(join(X_15,meet(X_204,meet(X_202,X_203))),join(meet(X_202,meet(X_203,X_204)),join(meet(X_202,meet(X_204,X_203)),X_15))) != join(meet(X_202,meet(X_203,X_204)),join(X_15,meet(X_202,meet(X_204,X_203))))
| meet(join(meet(X_202,meet(X_204,X_203)),join(meet(X_202,meet(X_203,X_204)),X_15)),join(X_15,meet(X_204,meet(X_202,X_203)))) = join(meet(X_202,meet(X_203,X_204)),join(X_15,meet(X_202,meet(X_204,X_203)))) ),
inference(resolve,[$cnf( $equal(meet(join(meet(X_202,meet(X_204,X_203)),join(meet(X_202,meet(X_203,X_204)),X_15)),join(X_15,meet(X_204,meet(X_202,X_203)))),meet(join(X_15,meet(X_204,meet(X_202,X_203))),join(meet(X_202,meet(X_203,X_204)),join(meet(X_202,meet(X_204,X_203)),X_15)))) )],[refute_0_509,refute_0_510]) ).
cnf(refute_0_512,plain,
meet(join(meet(X_202,meet(X_204,X_203)),join(meet(X_202,meet(X_203,X_204)),X_15)),join(X_15,meet(X_204,meet(X_202,X_203)))) = join(meet(X_202,meet(X_203,X_204)),join(X_15,meet(X_202,meet(X_204,X_203)))),
inference(resolve,[$cnf( $equal(meet(join(X_15,meet(X_204,meet(X_202,X_203))),join(meet(X_202,meet(X_203,X_204)),join(meet(X_202,meet(X_204,X_203)),X_15))),join(meet(X_202,meet(X_203,X_204)),join(X_15,meet(X_202,meet(X_204,X_203))))) )],[refute_0_508,refute_0_511]) ).
cnf(refute_0_513,plain,
( meet(join(meet(X_202,meet(X_204,X_203)),join(meet(X_202,meet(X_203,X_204)),X_15)),join(X_15,meet(X_204,meet(X_202,X_203)))) != join(meet(X_202,meet(X_203,X_204)),join(X_15,meet(X_202,meet(X_204,X_203))))
| meet(join(meet(X_202,meet(X_204,X_203)),join(meet(X_202,meet(X_203,X_204)),X_15)),join(X_15,meet(X_204,meet(X_202,X_203)))) != join(meet(X_202,meet(X_204,X_203)),join(meet(X_202,meet(X_203,X_204)),X_15))
| join(meet(X_202,meet(X_203,X_204)),join(X_15,meet(X_202,meet(X_204,X_203)))) = join(meet(X_202,meet(X_204,X_203)),join(meet(X_202,meet(X_203,X_204)),X_15)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(meet(X_202,meet(X_204,X_203)),join(meet(X_202,meet(X_203,X_204)),X_15)),join(X_15,meet(X_204,meet(X_202,X_203)))),join(meet(X_202,meet(X_204,X_203)),join(meet(X_202,meet(X_203,X_204)),X_15))) ),[0],$fot(join(meet(X_202,meet(X_203,X_204)),join(X_15,meet(X_202,meet(X_204,X_203)))))]]) ).
cnf(refute_0_514,plain,
( meet(join(meet(X_202,meet(X_204,X_203)),join(meet(X_202,meet(X_203,X_204)),X_15)),join(X_15,meet(X_204,meet(X_202,X_203)))) != join(meet(X_202,meet(X_204,X_203)),join(meet(X_202,meet(X_203,X_204)),X_15))
| join(meet(X_202,meet(X_203,X_204)),join(X_15,meet(X_202,meet(X_204,X_203)))) = join(meet(X_202,meet(X_204,X_203)),join(meet(X_202,meet(X_203,X_204)),X_15)) ),
inference(resolve,[$cnf( $equal(meet(join(meet(X_202,meet(X_204,X_203)),join(meet(X_202,meet(X_203,X_204)),X_15)),join(X_15,meet(X_204,meet(X_202,X_203)))),join(meet(X_202,meet(X_203,X_204)),join(X_15,meet(X_202,meet(X_204,X_203))))) )],[refute_0_512,refute_0_513]) ).
cnf(refute_0_515,plain,
join(meet(X_202,meet(X_204,X_203)),join(meet(X_202,meet(X_203,X_204)),X_15)) = join(X_15,meet(X_204,meet(X_202,X_203))),
inference(subst,[],[refute_0_500:[bind(X_150,$fot(X_15)),bind(X_152,$fot(X_204)),bind(X_23,$fot(X_202)),bind(X_24,$fot(X_203))]]) ).
cnf(refute_0_516,plain,
( join(meet(X_202,meet(X_203,X_204)),join(X_15,meet(X_202,meet(X_204,X_203)))) != join(meet(X_202,meet(X_204,X_203)),join(meet(X_202,meet(X_203,X_204)),X_15))
| join(meet(X_202,meet(X_204,X_203)),join(meet(X_202,meet(X_203,X_204)),X_15)) != join(X_15,meet(X_204,meet(X_202,X_203)))
| join(meet(X_202,meet(X_203,X_204)),join(X_15,meet(X_202,meet(X_204,X_203)))) = join(X_15,meet(X_204,meet(X_202,X_203))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(meet(X_202,meet(X_203,X_204)),join(X_15,meet(X_202,meet(X_204,X_203)))),join(X_15,meet(X_204,meet(X_202,X_203)))) ),[0],$fot(join(meet(X_202,meet(X_204,X_203)),join(meet(X_202,meet(X_203,X_204)),X_15)))]]) ).
cnf(refute_0_517,plain,
( join(meet(X_202,meet(X_203,X_204)),join(X_15,meet(X_202,meet(X_204,X_203)))) != join(meet(X_202,meet(X_204,X_203)),join(meet(X_202,meet(X_203,X_204)),X_15))
| join(meet(X_202,meet(X_203,X_204)),join(X_15,meet(X_202,meet(X_204,X_203)))) = join(X_15,meet(X_204,meet(X_202,X_203))) ),
inference(resolve,[$cnf( $equal(join(meet(X_202,meet(X_204,X_203)),join(meet(X_202,meet(X_203,X_204)),X_15)),join(X_15,meet(X_204,meet(X_202,X_203)))) )],[refute_0_515,refute_0_516]) ).
cnf(refute_0_518,plain,
( meet(join(meet(X_202,meet(X_204,X_203)),join(meet(X_202,meet(X_203,X_204)),X_15)),join(X_15,meet(X_204,meet(X_202,X_203)))) != join(meet(X_202,meet(X_204,X_203)),join(meet(X_202,meet(X_203,X_204)),X_15))
| join(meet(X_202,meet(X_203,X_204)),join(X_15,meet(X_202,meet(X_204,X_203)))) = join(X_15,meet(X_204,meet(X_202,X_203))) ),
inference(resolve,[$cnf( $equal(join(meet(X_202,meet(X_203,X_204)),join(X_15,meet(X_202,meet(X_204,X_203)))),join(meet(X_202,meet(X_204,X_203)),join(meet(X_202,meet(X_203,X_204)),X_15))) )],[refute_0_514,refute_0_517]) ).
cnf(refute_0_519,plain,
join(meet(X_202,meet(X_203,X_204)),join(X_15,meet(X_202,meet(X_204,X_203)))) = join(X_15,meet(X_204,meet(X_202,X_203))),
inference(resolve,[$cnf( $equal(meet(join(meet(X_202,meet(X_204,X_203)),join(meet(X_202,meet(X_203,X_204)),X_15)),join(X_15,meet(X_204,meet(X_202,X_203)))),join(meet(X_202,meet(X_204,X_203)),join(meet(X_202,meet(X_203,X_204)),X_15))) )],[refute_0_407,refute_0_518]) ).
cnf(refute_0_520,plain,
join(meet(X_202,meet(X_204,X_203)),join(Y,meet(X_202,meet(X_203,X_204)))) = join(Y,meet(X_203,meet(X_202,X_204))),
inference(subst,[],[refute_0_519:[bind(X_15,$fot(Y)),bind(X_203,$fot(X_204)),bind(X_204,$fot(X_203))]]) ).
cnf(refute_0_521,plain,
( join(meet(X_202,meet(X_204,X_203)),join(Y,meet(X_202,meet(X_203,X_204)))) != join(Y,meet(X_203,meet(X_202,X_204)))
| join(meet(X_202,meet(X_204,X_203)),join(Y,meet(X_202,meet(X_203,X_204)))) != join(meet(X_202,meet(X_204,X_203)),join(Y,meet(X_204,meet(X_202,X_203))))
| join(Y,meet(X_203,meet(X_202,X_204))) = join(meet(X_202,meet(X_204,X_203)),join(Y,meet(X_204,meet(X_202,X_203)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_202,meet(X_204,X_203)),join(Y,meet(X_202,meet(X_203,X_204)))),join(meet(X_202,meet(X_204,X_203)),join(Y,meet(X_204,meet(X_202,X_203))))) ),[0],$fot(join(Y,meet(X_203,meet(X_202,X_204))))]]) ).
cnf(refute_0_522,plain,
( join(meet(X_202,meet(X_204,X_203)),join(Y,meet(X_202,meet(X_203,X_204)))) != join(meet(X_202,meet(X_204,X_203)),join(Y,meet(X_204,meet(X_202,X_203))))
| join(Y,meet(X_203,meet(X_202,X_204))) = join(meet(X_202,meet(X_204,X_203)),join(Y,meet(X_204,meet(X_202,X_203)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_202,meet(X_204,X_203)),join(Y,meet(X_202,meet(X_203,X_204)))),join(Y,meet(X_203,meet(X_202,X_204)))) )],[refute_0_520,refute_0_521]) ).
cnf(refute_0_523,plain,
join(meet(X_127,meet(X_26,X_129)),join(Y,meet(X_26,meet(X_127,meet(X_26,X_129))))) = join(meet(X_127,meet(X_26,X_129)),Y),
inference(subst,[],[refute_0_71:[bind(X_27,$fot(meet(X_127,meet(X_26,X_129))))]]) ).
cnf(refute_0_524,plain,
meet(meet(X_22,meet(Y,X_22)),X_24) = meet(X_22,meet(meet(Y,X_22),X_24)),
inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_22)),bind(Y,$fot(meet(Y,X_22))),bind(Z,$fot(X_24))]]) ).
cnf(refute_0_525,plain,
meet(X_22,meet(Y,X_22)) = meet(X_22,Y),
inference(subst,[],[refute_0_11:[bind(X_15,$fot(X_22))]]) ).
cnf(refute_0_526,plain,
( meet(X_22,meet(Y,X_22)) != meet(X_22,Y)
| meet(meet(X_22,meet(Y,X_22)),X_24) != meet(X_22,meet(meet(Y,X_22),X_24))
| meet(meet(X_22,Y),X_24) = meet(X_22,meet(meet(Y,X_22),X_24)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_22,meet(Y,X_22)),X_24),meet(X_22,meet(meet(Y,X_22),X_24))) ),[0,0],$fot(meet(X_22,Y))]]) ).
cnf(refute_0_527,plain,
( meet(meet(X_22,meet(Y,X_22)),X_24) != meet(X_22,meet(meet(Y,X_22),X_24))
| meet(meet(X_22,Y),X_24) = meet(X_22,meet(meet(Y,X_22),X_24)) ),
inference(resolve,[$cnf( $equal(meet(X_22,meet(Y,X_22)),meet(X_22,Y)) )],[refute_0_525,refute_0_526]) ).
cnf(refute_0_528,plain,
meet(meet(X_22,Y),X_24) = meet(X_22,meet(meet(Y,X_22),X_24)),
inference(resolve,[$cnf( $equal(meet(meet(X_22,meet(Y,X_22)),X_24),meet(X_22,meet(meet(Y,X_22),X_24))) )],[refute_0_524,refute_0_527]) ).
cnf(refute_0_529,plain,
meet(meet(X_22,Y),X_24) = meet(X_22,meet(Y,X_24)),
inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_22)),bind(Z,$fot(X_24))]]) ).
cnf(refute_0_530,plain,
( meet(meet(X_22,Y),X_24) != meet(X_22,meet(Y,X_24))
| meet(meet(X_22,Y),X_24) != meet(X_22,meet(meet(Y,X_22),X_24))
| meet(X_22,meet(Y,X_24)) = meet(X_22,meet(meet(Y,X_22),X_24)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_22,Y),X_24),meet(X_22,meet(meet(Y,X_22),X_24))) ),[0],$fot(meet(X_22,meet(Y,X_24)))]]) ).
cnf(refute_0_531,plain,
( meet(meet(X_22,Y),X_24) != meet(X_22,meet(meet(Y,X_22),X_24))
| meet(X_22,meet(Y,X_24)) = meet(X_22,meet(meet(Y,X_22),X_24)) ),
inference(resolve,[$cnf( $equal(meet(meet(X_22,Y),X_24),meet(X_22,meet(Y,X_24))) )],[refute_0_529,refute_0_530]) ).
cnf(refute_0_532,plain,
meet(meet(Y,X_22),X_24) = meet(Y,meet(X_22,X_24)),
inference(subst,[],[associativity_of_meet:[bind(X,$fot(Y)),bind(Y,$fot(X_22)),bind(Z,$fot(X_24))]]) ).
cnf(refute_0_533,plain,
meet(X_22,meet(meet(Y,X_22),X_24)) = meet(X_22,meet(meet(Y,X_22),X_24)),
introduced(tautology,[refl,[$fot(meet(X_22,meet(meet(Y,X_22),X_24)))]]) ).
cnf(refute_0_534,plain,
( meet(X_22,meet(meet(Y,X_22),X_24)) != meet(X_22,meet(meet(Y,X_22),X_24))
| meet(meet(Y,X_22),X_24) != meet(Y,meet(X_22,X_24))
| meet(X_22,meet(meet(Y,X_22),X_24)) = meet(X_22,meet(Y,meet(X_22,X_24))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_22,meet(meet(Y,X_22),X_24)),meet(X_22,meet(meet(Y,X_22),X_24))) ),[1,1],$fot(meet(Y,meet(X_22,X_24)))]]) ).
cnf(refute_0_535,plain,
( meet(meet(Y,X_22),X_24) != meet(Y,meet(X_22,X_24))
| meet(X_22,meet(meet(Y,X_22),X_24)) = meet(X_22,meet(Y,meet(X_22,X_24))) ),
inference(resolve,[$cnf( $equal(meet(X_22,meet(meet(Y,X_22),X_24)),meet(X_22,meet(meet(Y,X_22),X_24))) )],[refute_0_533,refute_0_534]) ).
cnf(refute_0_536,plain,
meet(X_22,meet(meet(Y,X_22),X_24)) = meet(X_22,meet(Y,meet(X_22,X_24))),
inference(resolve,[$cnf( $equal(meet(meet(Y,X_22),X_24),meet(Y,meet(X_22,X_24))) )],[refute_0_532,refute_0_535]) ).
cnf(refute_0_537,plain,
( meet(X_22,meet(Y,X_24)) != meet(X_22,meet(meet(Y,X_22),X_24))
| meet(X_22,meet(meet(Y,X_22),X_24)) != meet(X_22,meet(Y,meet(X_22,X_24)))
| meet(X_22,meet(Y,X_24)) = meet(X_22,meet(Y,meet(X_22,X_24))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(meet(X_22,meet(Y,X_24)),meet(X_22,meet(Y,meet(X_22,X_24)))) ),[0],$fot(meet(X_22,meet(meet(Y,X_22),X_24)))]]) ).
cnf(refute_0_538,plain,
( meet(X_22,meet(Y,X_24)) != meet(X_22,meet(meet(Y,X_22),X_24))
| meet(X_22,meet(Y,X_24)) = meet(X_22,meet(Y,meet(X_22,X_24))) ),
inference(resolve,[$cnf( $equal(meet(X_22,meet(meet(Y,X_22),X_24)),meet(X_22,meet(Y,meet(X_22,X_24)))) )],[refute_0_536,refute_0_537]) ).
cnf(refute_0_539,plain,
( meet(meet(X_22,Y),X_24) != meet(X_22,meet(meet(Y,X_22),X_24))
| meet(X_22,meet(Y,X_24)) = meet(X_22,meet(Y,meet(X_22,X_24))) ),
inference(resolve,[$cnf( $equal(meet(X_22,meet(Y,X_24)),meet(X_22,meet(meet(Y,X_22),X_24))) )],[refute_0_531,refute_0_538]) ).
cnf(refute_0_540,plain,
meet(X_22,meet(Y,X_24)) = meet(X_22,meet(Y,meet(X_22,X_24))),
inference(resolve,[$cnf( $equal(meet(meet(X_22,Y),X_24),meet(X_22,meet(meet(Y,X_22),X_24))) )],[refute_0_528,refute_0_539]) ).
cnf(refute_0_541,plain,
meet(X_26,meet(X_127,X_129)) = meet(X_26,meet(X_127,meet(X_26,X_129))),
inference(subst,[],[refute_0_540:[bind(Y,$fot(X_127)),bind(X_22,$fot(X_26)),bind(X_24,$fot(X_129))]]) ).
cnf(refute_0_542,plain,
( meet(X_26,meet(X_127,X_129)) != meet(X_26,meet(X_127,meet(X_26,X_129)))
| meet(X_26,meet(X_127,meet(X_26,X_129))) = meet(X_26,meet(X_127,X_129)) ),
inference(subst,[],[refute_0_16:[bind(X0,$fot(meet(X_26,meet(X_127,X_129)))),bind(Y0,$fot(meet(X_26,meet(X_127,meet(X_26,X_129)))))]]) ).
cnf(refute_0_543,plain,
meet(X_26,meet(X_127,meet(X_26,X_129))) = meet(X_26,meet(X_127,X_129)),
inference(resolve,[$cnf( $equal(meet(X_26,meet(X_127,X_129)),meet(X_26,meet(X_127,meet(X_26,X_129)))) )],[refute_0_541,refute_0_542]) ).
cnf(refute_0_544,plain,
( join(meet(X_127,meet(X_26,X_129)),join(Y,meet(X_26,meet(X_127,meet(X_26,X_129))))) != join(meet(X_127,meet(X_26,X_129)),Y)
| meet(X_26,meet(X_127,meet(X_26,X_129))) != meet(X_26,meet(X_127,X_129))
| join(meet(X_127,meet(X_26,X_129)),join(Y,meet(X_26,meet(X_127,X_129)))) = join(meet(X_127,meet(X_26,X_129)),Y) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_127,meet(X_26,X_129)),join(Y,meet(X_26,meet(X_127,meet(X_26,X_129))))),join(meet(X_127,meet(X_26,X_129)),Y)) ),[0,1,1],$fot(meet(X_26,meet(X_127,X_129)))]]) ).
cnf(refute_0_545,plain,
( join(meet(X_127,meet(X_26,X_129)),join(Y,meet(X_26,meet(X_127,meet(X_26,X_129))))) != join(meet(X_127,meet(X_26,X_129)),Y)
| join(meet(X_127,meet(X_26,X_129)),join(Y,meet(X_26,meet(X_127,X_129)))) = join(meet(X_127,meet(X_26,X_129)),Y) ),
inference(resolve,[$cnf( $equal(meet(X_26,meet(X_127,meet(X_26,X_129))),meet(X_26,meet(X_127,X_129))) )],[refute_0_543,refute_0_544]) ).
cnf(refute_0_546,plain,
join(meet(X_127,meet(X_26,X_129)),join(Y,meet(X_26,meet(X_127,X_129)))) = join(meet(X_127,meet(X_26,X_129)),Y),
inference(resolve,[$cnf( $equal(join(meet(X_127,meet(X_26,X_129)),join(Y,meet(X_26,meet(X_127,meet(X_26,X_129))))),join(meet(X_127,meet(X_26,X_129)),Y)) )],[refute_0_523,refute_0_545]) ).
cnf(refute_0_547,plain,
join(meet(X_202,meet(X_204,X_203)),join(Y,meet(X_204,meet(X_202,X_203)))) = join(meet(X_202,meet(X_204,X_203)),Y),
inference(subst,[],[refute_0_546:[bind(X_127,$fot(X_202)),bind(X_129,$fot(X_203)),bind(X_26,$fot(X_204))]]) ).
cnf(refute_0_548,plain,
( join(Y,meet(X_203,meet(X_202,X_204))) != join(meet(X_202,meet(X_204,X_203)),join(Y,meet(X_204,meet(X_202,X_203))))
| join(meet(X_202,meet(X_204,X_203)),join(Y,meet(X_204,meet(X_202,X_203)))) != join(meet(X_202,meet(X_204,X_203)),Y)
| join(Y,meet(X_203,meet(X_202,X_204))) = join(meet(X_202,meet(X_204,X_203)),Y) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(Y,meet(X_203,meet(X_202,X_204))),join(meet(X_202,meet(X_204,X_203)),Y)) ),[0],$fot(join(meet(X_202,meet(X_204,X_203)),join(Y,meet(X_204,meet(X_202,X_203)))))]]) ).
cnf(refute_0_549,plain,
( join(Y,meet(X_203,meet(X_202,X_204))) != join(meet(X_202,meet(X_204,X_203)),join(Y,meet(X_204,meet(X_202,X_203))))
| join(Y,meet(X_203,meet(X_202,X_204))) = join(meet(X_202,meet(X_204,X_203)),Y) ),
inference(resolve,[$cnf( $equal(join(meet(X_202,meet(X_204,X_203)),join(Y,meet(X_204,meet(X_202,X_203)))),join(meet(X_202,meet(X_204,X_203)),Y)) )],[refute_0_547,refute_0_548]) ).
cnf(refute_0_550,plain,
( join(meet(X_202,meet(X_204,X_203)),join(Y,meet(X_202,meet(X_203,X_204)))) != join(meet(X_202,meet(X_204,X_203)),join(Y,meet(X_204,meet(X_202,X_203))))
| join(Y,meet(X_203,meet(X_202,X_204))) = join(meet(X_202,meet(X_204,X_203)),Y) ),
inference(resolve,[$cnf( $equal(join(Y,meet(X_203,meet(X_202,X_204))),join(meet(X_202,meet(X_204,X_203)),join(Y,meet(X_204,meet(X_202,X_203))))) )],[refute_0_522,refute_0_549]) ).
cnf(refute_0_551,plain,
join(Y,meet(X_203,meet(X_202,X_204))) = join(meet(X_202,meet(X_204,X_203)),Y),
inference(resolve,[$cnf( $equal(join(meet(X_202,meet(X_204,X_203)),join(Y,meet(X_202,meet(X_203,X_204)))),join(meet(X_202,meet(X_204,X_203)),join(Y,meet(X_204,meet(X_202,X_203))))) )],[refute_0_395,refute_0_550]) ).
cnf(refute_0_552,plain,
join(join(X,meet(X_202,meet(X_204,X_203))),meet(X_202,meet(X_203,X_204))) = join(meet(X_203,meet(X_204,X_202)),join(X,meet(X_202,meet(X_204,X_203)))),
inference(subst,[],[refute_0_551:[bind(Y,$fot(join(X,meet(X_202,meet(X_204,X_203))))),bind(X_202,$fot(X_203)),bind(X_203,$fot(X_202))]]) ).
cnf(refute_0_553,plain,
( join(join(X,meet(X_202,meet(X_204,X_203))),meet(X_202,meet(X_203,X_204))) != join(meet(X_203,meet(X_204,X_202)),join(X,meet(X_202,meet(X_204,X_203))))
| join(meet(X_203,meet(X_204,X_202)),join(X,meet(X_202,meet(X_204,X_203)))) != join(X,meet(X_204,meet(X_203,X_202)))
| join(join(X,meet(X_202,meet(X_204,X_203))),meet(X_202,meet(X_203,X_204))) = join(X,meet(X_204,meet(X_203,X_202))) ),
inference(subst,[],[refute_0_93:[bind(X0,$fot(join(join(X,meet(X_202,meet(X_204,X_203))),meet(X_202,meet(X_203,X_204))))),bind(Y0,$fot(join(meet(X_203,meet(X_204,X_202)),join(X,meet(X_202,meet(X_204,X_203)))))),bind(Z0,$fot(join(X,meet(X_204,meet(X_203,X_202)))))]]) ).
cnf(refute_0_554,plain,
( join(meet(X_203,meet(X_204,X_202)),join(X,meet(X_202,meet(X_204,X_203)))) != join(X,meet(X_204,meet(X_203,X_202)))
| join(join(X,meet(X_202,meet(X_204,X_203))),meet(X_202,meet(X_203,X_204))) = join(X,meet(X_204,meet(X_203,X_202))) ),
inference(resolve,[$cnf( $equal(join(join(X,meet(X_202,meet(X_204,X_203))),meet(X_202,meet(X_203,X_204))),join(meet(X_203,meet(X_204,X_202)),join(X,meet(X_202,meet(X_204,X_203))))) )],[refute_0_552,refute_0_553]) ).
cnf(refute_0_555,plain,
join(join(X,meet(X_202,meet(X_204,X_203))),meet(X_202,meet(X_203,X_204))) = join(X,meet(X_204,meet(X_203,X_202))),
inference(resolve,[$cnf( $equal(join(meet(X_203,meet(X_204,X_202)),join(X,meet(X_202,meet(X_204,X_203)))),join(X,meet(X_204,meet(X_203,X_202)))) )],[refute_0_391,refute_0_554]) ).
cnf(refute_0_556,plain,
( join(join(X,meet(X_202,meet(X_204,X_203))),meet(X_202,meet(X_203,X_204))) != join(X,meet(X_204,meet(X_202,X_203)))
| join(join(X,meet(X_202,meet(X_204,X_203))),meet(X_202,meet(X_203,X_204))) != join(X,meet(X_204,meet(X_203,X_202)))
| join(X,meet(X_204,meet(X_203,X_202))) = join(X,meet(X_204,meet(X_202,X_203))) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(X,meet(X_202,meet(X_204,X_203))),meet(X_202,meet(X_203,X_204))),join(X,meet(X_204,meet(X_202,X_203)))) ),[0],$fot(join(X,meet(X_204,meet(X_203,X_202))))]]) ).
cnf(refute_0_557,plain,
( join(join(X,meet(X_202,meet(X_204,X_203))),meet(X_202,meet(X_203,X_204))) != join(X,meet(X_204,meet(X_202,X_203)))
| join(X,meet(X_204,meet(X_203,X_202))) = join(X,meet(X_204,meet(X_202,X_203))) ),
inference(resolve,[$cnf( $equal(join(join(X,meet(X_202,meet(X_204,X_203))),meet(X_202,meet(X_203,X_204))),join(X,meet(X_204,meet(X_203,X_202)))) )],[refute_0_555,refute_0_556]) ).
cnf(refute_0_558,plain,
join(X,meet(X_204,meet(X_203,X_202))) = join(X,meet(X_204,meet(X_202,X_203))),
inference(resolve,[$cnf( $equal(join(join(X,meet(X_202,meet(X_204,X_203))),meet(X_202,meet(X_203,X_204))),join(X,meet(X_204,meet(X_202,X_203)))) )],[refute_0_307,refute_0_557]) ).
cnf(refute_0_559,plain,
( join(X,meet(X_204,meet(X_203,X_202))) != join(X,meet(X_204,meet(X_202,X_203)))
| join(X,meet(X_204,meet(X_202,X_203))) = join(X,meet(X_204,meet(X_203,X_202))) ),
inference(subst,[],[refute_0_16:[bind(X0,$fot(join(X,meet(X_204,meet(X_203,X_202))))),bind(Y0,$fot(join(X,meet(X_204,meet(X_202,X_203)))))]]) ).
cnf(refute_0_560,plain,
join(X,meet(X_204,meet(X_202,X_203))) = join(X,meet(X_204,meet(X_203,X_202))),
inference(resolve,[$cnf( $equal(join(X,meet(X_204,meet(X_203,X_202))),join(X,meet(X_204,meet(X_202,X_203)))) )],[refute_0_558,refute_0_559]) ).
cnf(refute_0_561,plain,
join(meet(X_23,join(meet(X_70,X_209),meet(X_70,X_210))),meet(X_23,meet(join(meet(X_70,X_209),meet(X_210,join(X_209,X_70))),X_70))) = join(meet(X_23,join(meet(X_70,X_209),meet(X_70,X_210))),meet(X_23,meet(X_70,join(meet(X_70,X_209),meet(X_210,join(X_209,X_70)))))),
inference(subst,[],[refute_0_560:[bind(X,$fot(meet(X_23,join(meet(X_70,X_209),meet(X_70,X_210))))),bind(X_202,$fot(join(meet(X_70,X_209),meet(X_210,join(X_209,X_70))))),bind(X_203,$fot(X_70)),bind(X_204,$fot(X_23))]]) ).
cnf(refute_0_562,plain,
( join(meet(X_23,join(meet(X_70,X_209),meet(X_70,X_210))),meet(X_23,meet(X_70,join(meet(X_70,X_209),meet(X_210,join(X_209,X_70)))))) != meet(X_23,join(meet(X_70,X_209),meet(X_70,X_210)))
| join(meet(X_23,join(meet(X_70,X_209),meet(X_70,X_210))),meet(X_23,meet(join(meet(X_70,X_209),meet(X_210,join(X_209,X_70))),X_70))) != join(meet(X_23,join(meet(X_70,X_209),meet(X_70,X_210))),meet(X_23,meet(X_70,join(meet(X_70,X_209),meet(X_210,join(X_209,X_70))))))
| join(meet(X_23,join(meet(X_70,X_209),meet(X_70,X_210))),meet(X_23,meet(join(meet(X_70,X_209),meet(X_210,join(X_209,X_70))),X_70))) = meet(X_23,join(meet(X_70,X_209),meet(X_70,X_210))) ),
inference(subst,[],[refute_0_93:[bind(X0,$fot(join(meet(X_23,join(meet(X_70,X_209),meet(X_70,X_210))),meet(X_23,meet(join(meet(X_70,X_209),meet(X_210,join(X_209,X_70))),X_70))))),bind(Y0,$fot(join(meet(X_23,join(meet(X_70,X_209),meet(X_70,X_210))),meet(X_23,meet(X_70,join(meet(X_70,X_209),meet(X_210,join(X_209,X_70)))))))),bind(Z0,$fot(meet(X_23,join(meet(X_70,X_209),meet(X_70,X_210)))))]]) ).
cnf(refute_0_563,plain,
( join(meet(X_23,join(meet(X_70,X_209),meet(X_70,X_210))),meet(X_23,meet(X_70,join(meet(X_70,X_209),meet(X_210,join(X_209,X_70)))))) != meet(X_23,join(meet(X_70,X_209),meet(X_70,X_210)))
| join(meet(X_23,join(meet(X_70,X_209),meet(X_70,X_210))),meet(X_23,meet(join(meet(X_70,X_209),meet(X_210,join(X_209,X_70))),X_70))) = meet(X_23,join(meet(X_70,X_209),meet(X_70,X_210))) ),
inference(resolve,[$cnf( $equal(join(meet(X_23,join(meet(X_70,X_209),meet(X_70,X_210))),meet(X_23,meet(join(meet(X_70,X_209),meet(X_210,join(X_209,X_70))),X_70))),join(meet(X_23,join(meet(X_70,X_209),meet(X_70,X_210))),meet(X_23,meet(X_70,join(meet(X_70,X_209),meet(X_210,join(X_209,X_70))))))) )],[refute_0_561,refute_0_562]) ).
cnf(refute_0_564,plain,
join(meet(X_23,join(meet(X_70,X_209),meet(X_70,X_210))),meet(X_23,meet(join(meet(X_70,X_209),meet(X_210,join(X_209,X_70))),X_70))) = meet(X_23,join(meet(X_70,X_209),meet(X_70,X_210))),
inference(resolve,[$cnf( $equal(join(meet(X_23,join(meet(X_70,X_209),meet(X_70,X_210))),meet(X_23,meet(X_70,join(meet(X_70,X_209),meet(X_210,join(X_209,X_70)))))),meet(X_23,join(meet(X_70,X_209),meet(X_70,X_210)))) )],[refute_0_302,refute_0_563]) ).
cnf(refute_0_565,plain,
( join(meet(X_23,join(meet(X_70,X_209),meet(X_70,X_210))),meet(X_23,meet(join(meet(X_70,X_209),meet(X_210,join(X_209,X_70))),X_70))) != meet(X_23,join(meet(X_70,X_209),meet(X_70,X_210)))
| join(meet(X_23,join(meet(X_70,X_209),meet(X_70,X_210))),meet(X_23,meet(join(meet(X_70,X_209),meet(X_210,join(X_209,X_70))),X_70))) != meet(X_70,meet(X_23,join(meet(X_70,X_209),meet(X_210,join(X_209,X_70)))))
| meet(X_23,join(meet(X_70,X_209),meet(X_70,X_210))) = meet(X_70,meet(X_23,join(meet(X_70,X_209),meet(X_210,join(X_209,X_70))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_23,join(meet(X_70,X_209),meet(X_70,X_210))),meet(X_23,meet(join(meet(X_70,X_209),meet(X_210,join(X_209,X_70))),X_70))),meet(X_70,meet(X_23,join(meet(X_70,X_209),meet(X_210,join(X_209,X_70)))))) ),[0],$fot(meet(X_23,join(meet(X_70,X_209),meet(X_70,X_210))))]]) ).
cnf(refute_0_566,plain,
( join(meet(X_23,join(meet(X_70,X_209),meet(X_70,X_210))),meet(X_23,meet(join(meet(X_70,X_209),meet(X_210,join(X_209,X_70))),X_70))) != meet(X_70,meet(X_23,join(meet(X_70,X_209),meet(X_210,join(X_209,X_70)))))
| meet(X_23,join(meet(X_70,X_209),meet(X_70,X_210))) = meet(X_70,meet(X_23,join(meet(X_70,X_209),meet(X_210,join(X_209,X_70))))) ),
inference(resolve,[$cnf( $equal(join(meet(X_23,join(meet(X_70,X_209),meet(X_70,X_210))),meet(X_23,meet(join(meet(X_70,X_209),meet(X_210,join(X_209,X_70))),X_70))),meet(X_23,join(meet(X_70,X_209),meet(X_70,X_210)))) )],[refute_0_564,refute_0_565]) ).
cnf(refute_0_567,plain,
meet(X_23,join(meet(X_70,X_209),meet(X_70,X_210))) = meet(X_70,meet(X_23,join(meet(X_70,X_209),meet(X_210,join(X_209,X_70))))),
inference(resolve,[$cnf( $equal(join(meet(X_23,join(meet(X_70,X_209),meet(X_70,X_210))),meet(X_23,meet(join(meet(X_70,X_209),meet(X_210,join(X_209,X_70))),X_70))),meet(X_70,meet(X_23,join(meet(X_70,X_209),meet(X_210,join(X_209,X_70)))))) )],[refute_0_290,refute_0_566]) ).
cnf(refute_0_568,plain,
( meet(X_23,join(meet(X_70,X_209),meet(X_70,X_210))) != meet(X_70,meet(X_23,join(meet(X_70,X_209),meet(X_210,join(X_209,X_70)))))
| meet(X_70,meet(X_23,join(meet(X_70,X_209),meet(X_210,join(X_209,X_70))))) = meet(X_23,join(meet(X_70,X_209),meet(X_70,X_210))) ),
inference(subst,[],[refute_0_16:[bind(X0,$fot(meet(X_23,join(meet(X_70,X_209),meet(X_70,X_210))))),bind(Y0,$fot(meet(X_70,meet(X_23,join(meet(X_70,X_209),meet(X_210,join(X_209,X_70)))))))]]) ).
cnf(refute_0_569,plain,
meet(X_70,meet(X_23,join(meet(X_70,X_209),meet(X_210,join(X_209,X_70))))) = meet(X_23,join(meet(X_70,X_209),meet(X_70,X_210))),
inference(resolve,[$cnf( $equal(meet(X_23,join(meet(X_70,X_209),meet(X_70,X_210))),meet(X_70,meet(X_23,join(meet(X_70,X_209),meet(X_210,join(X_209,X_70)))))) )],[refute_0_567,refute_0_568]) ).
cnf(refute_0_570,plain,
meet(X_19,meet(X_19,join(meet(X_19,X_209),meet(X_210,join(X_209,X_19))))) = meet(X_19,join(meet(X_19,X_209),meet(X_19,X_210))),
inference(subst,[],[refute_0_569:[bind(X_23,$fot(X_19)),bind(X_70,$fot(X_19))]]) ).
cnf(refute_0_571,plain,
( meet(X_19,meet(X_19,join(meet(X_19,X_209),meet(X_210,join(X_209,X_19))))) != join(meet(X_19,X_209),meet(X_19,X_210))
| meet(X_19,meet(X_19,join(meet(X_19,X_209),meet(X_210,join(X_209,X_19))))) != meet(X_19,join(meet(X_19,X_209),meet(X_19,X_210)))
| meet(X_19,join(meet(X_19,X_209),meet(X_19,X_210))) = join(meet(X_19,X_209),meet(X_19,X_210)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_19,meet(X_19,join(meet(X_19,X_209),meet(X_210,join(X_209,X_19))))),join(meet(X_19,X_209),meet(X_19,X_210))) ),[0],$fot(meet(X_19,join(meet(X_19,X_209),meet(X_19,X_210))))]]) ).
cnf(refute_0_572,plain,
( meet(X_19,meet(X_19,join(meet(X_19,X_209),meet(X_210,join(X_209,X_19))))) != join(meet(X_19,X_209),meet(X_19,X_210))
| meet(X_19,join(meet(X_19,X_209),meet(X_19,X_210))) = join(meet(X_19,X_209),meet(X_19,X_210)) ),
inference(resolve,[$cnf( $equal(meet(X_19,meet(X_19,join(meet(X_19,X_209),meet(X_210,join(X_209,X_19))))),meet(X_19,join(meet(X_19,X_209),meet(X_19,X_210)))) )],[refute_0_570,refute_0_571]) ).
cnf(refute_0_573,plain,
meet(X_19,join(meet(X_19,X_209),meet(X_19,X_210))) = join(meet(X_19,X_209),meet(X_19,X_210)),
inference(resolve,[$cnf( $equal(meet(X_19,meet(X_19,join(meet(X_19,X_209),meet(X_210,join(X_209,X_19))))),join(meet(X_19,X_209),meet(X_19,X_210))) )],[refute_0_258,refute_0_572]) ).
cnf(refute_0_574,plain,
meet(a,join(meet(a,b),meet(a,c))) = join(meet(a,b),meet(a,c)),
inference(subst,[],[refute_0_573:[bind(X_19,$fot(a)),bind(X_209,$fot(b)),bind(X_210,$fot(c))]]) ).
cnf(refute_0_575,plain,
( join(meet(a,b),meet(a,c)) != meet(a,join(meet(a,b),join(meet(a,c),meet(c,join(a,b)))))
| meet(a,join(meet(a,b),meet(a,c))) != join(meet(a,b),meet(a,c))
| meet(a,join(meet(a,b),meet(a,c))) = meet(a,join(meet(a,b),join(meet(a,c),meet(c,join(a,b))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(a,join(meet(a,b),meet(a,c))),join(meet(a,b),meet(a,c))) ),[1],$fot(meet(a,join(meet(a,b),join(meet(a,c),meet(c,join(a,b))))))]]) ).
cnf(refute_0_576,plain,
( join(meet(a,b),meet(a,c)) != meet(a,join(meet(a,b),join(meet(a,c),meet(c,join(a,b)))))
| meet(a,join(meet(a,b),meet(a,c))) = meet(a,join(meet(a,b),join(meet(a,c),meet(c,join(a,b))))) ),
inference(resolve,[$cnf( $equal(meet(a,join(meet(a,b),meet(a,c))),join(meet(a,b),meet(a,c))) )],[refute_0_574,refute_0_575]) ).
cnf(refute_0_577,plain,
join(meet(a,b),meet(a,c)) != meet(a,join(meet(a,b),join(meet(a,c),meet(c,join(a,b))))),
inference(resolve,[$cnf( $equal(meet(a,join(meet(a,b),meet(a,c))),meet(a,join(meet(a,b),join(meet(a,c),meet(c,join(a,b)))))) )],[refute_0_576,prove_H15]) ).
cnf(refute_0_578,plain,
join(meet(X_208,X_209),meet(X_208,X_210)) = meet(X_208,join(meet(X_208,X_209),meet(X_210,join(X_209,X_208)))),
inference(subst,[],[refute_0_252:[bind(Y,$fot(X_208)),bind(X_112,$fot(X_209)),bind(X_114,$fot(X_210))]]) ).
cnf(refute_0_579,plain,
join(X_208,X_209) = join(X_209,X_208),
inference(subst,[],[commutativity_of_join:[bind(X,$fot(X_208)),bind(Y,$fot(X_209))]]) ).
cnf(refute_0_580,plain,
( join(X_208,X_209) != join(X_209,X_208)
| join(X_209,X_208) = join(X_208,X_209) ),
inference(subst,[],[refute_0_16:[bind(X0,$fot(join(X_208,X_209))),bind(Y0,$fot(join(X_209,X_208)))]]) ).
cnf(refute_0_581,plain,
join(X_209,X_208) = join(X_208,X_209),
inference(resolve,[$cnf( $equal(join(X_208,X_209),join(X_209,X_208)) )],[refute_0_579,refute_0_580]) ).
cnf(refute_0_582,plain,
( join(X_209,X_208) != join(X_208,X_209)
| join(meet(X_208,X_209),meet(X_208,X_210)) != meet(X_208,join(meet(X_208,X_209),meet(X_210,join(X_209,X_208))))
| join(meet(X_208,X_209),meet(X_208,X_210)) = meet(X_208,join(meet(X_208,X_209),meet(X_210,join(X_208,X_209)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_208,X_209),meet(X_208,X_210)),meet(X_208,join(meet(X_208,X_209),meet(X_210,join(X_209,X_208))))) ),[1,1,1,1],$fot(join(X_208,X_209))]]) ).
cnf(refute_0_583,plain,
( join(meet(X_208,X_209),meet(X_208,X_210)) != meet(X_208,join(meet(X_208,X_209),meet(X_210,join(X_209,X_208))))
| join(meet(X_208,X_209),meet(X_208,X_210)) = meet(X_208,join(meet(X_208,X_209),meet(X_210,join(X_208,X_209)))) ),
inference(resolve,[$cnf( $equal(join(X_209,X_208),join(X_208,X_209)) )],[refute_0_581,refute_0_582]) ).
cnf(refute_0_584,plain,
join(meet(X_208,X_209),meet(X_208,X_210)) = meet(X_208,join(meet(X_208,X_209),meet(X_210,join(X_208,X_209)))),
inference(resolve,[$cnf( $equal(join(meet(X_208,X_209),meet(X_208,X_210)),meet(X_208,join(meet(X_208,X_209),meet(X_210,join(X_209,X_208))))) )],[refute_0_578,refute_0_583]) ).
cnf(refute_0_585,plain,
( join(meet(X_208,X_209),meet(X_208,X_210)) != meet(X_208,join(meet(X_208,X_209),meet(X_210,join(X_208,X_209))))
| meet(X_208,join(meet(X_208,X_209),meet(X_210,join(X_208,X_209)))) = join(meet(X_208,X_209),meet(X_208,X_210)) ),
inference(subst,[],[refute_0_16:[bind(X0,$fot(join(meet(X_208,X_209),meet(X_208,X_210)))),bind(Y0,$fot(meet(X_208,join(meet(X_208,X_209),meet(X_210,join(X_208,X_209))))))]]) ).
cnf(refute_0_586,plain,
meet(X_208,join(meet(X_208,X_209),meet(X_210,join(X_208,X_209)))) = join(meet(X_208,X_209),meet(X_208,X_210)),
inference(resolve,[$cnf( $equal(join(meet(X_208,X_209),meet(X_208,X_210)),meet(X_208,join(meet(X_208,X_209),meet(X_210,join(X_208,X_209))))) )],[refute_0_584,refute_0_585]) ).
cnf(refute_0_587,plain,
meet(a,join(meet(a,b),meet(c,join(a,b)))) = join(meet(a,b),meet(a,c)),
inference(subst,[],[refute_0_586:[bind(X_208,$fot(a)),bind(X_209,$fot(b)),bind(X_210,$fot(c))]]) ).
cnf(refute_0_588,plain,
join(meet(meet(X_112,Z),meet(X_114,join(X_112,Z))),meet(meet(X_114,join(X_112,Z)),Z)) = meet(meet(X_114,join(X_112,Z)),join(meet(meet(X_112,Z),meet(X_114,join(X_112,Z))),meet(Z,join(meet(X_112,Z),meet(X_114,join(X_112,Z)))))),
inference(subst,[],[refute_0_51:[bind(X,$fot(meet(X_112,Z))),bind(Y,$fot(meet(X_114,join(X_112,Z))))]]) ).
cnf(refute_0_589,plain,
join(meet(X_112,Z),meet(Z,X_114)) = meet(Z,join(meet(X_112,Z),meet(X_114,join(X_112,Z)))),
inference(subst,[],[refute_0_51:[bind(X,$fot(X_112)),bind(Y,$fot(Z)),bind(Z,$fot(X_114))]]) ).
cnf(refute_0_590,plain,
( join(meet(X_112,Z),meet(Z,X_114)) != meet(Z,join(meet(X_112,Z),meet(X_114,join(X_112,Z))))
| meet(Z,join(meet(X_112,Z),meet(X_114,join(X_112,Z)))) = join(meet(X_112,Z),meet(Z,X_114)) ),
inference(subst,[],[refute_0_16:[bind(X0,$fot(join(meet(X_112,Z),meet(Z,X_114)))),bind(Y0,$fot(meet(Z,join(meet(X_112,Z),meet(X_114,join(X_112,Z))))))]]) ).
cnf(refute_0_591,plain,
meet(Z,join(meet(X_112,Z),meet(X_114,join(X_112,Z)))) = join(meet(X_112,Z),meet(Z,X_114)),
inference(resolve,[$cnf( $equal(join(meet(X_112,Z),meet(Z,X_114)),meet(Z,join(meet(X_112,Z),meet(X_114,join(X_112,Z))))) )],[refute_0_589,refute_0_590]) ).
cnf(refute_0_592,plain,
( join(meet(meet(X_112,Z),meet(X_114,join(X_112,Z))),meet(meet(X_114,join(X_112,Z)),Z)) != meet(meet(X_114,join(X_112,Z)),join(meet(meet(X_112,Z),meet(X_114,join(X_112,Z))),meet(Z,join(meet(X_112,Z),meet(X_114,join(X_112,Z))))))
| meet(Z,join(meet(X_112,Z),meet(X_114,join(X_112,Z)))) != join(meet(X_112,Z),meet(Z,X_114))
| join(meet(meet(X_112,Z),meet(X_114,join(X_112,Z))),meet(meet(X_114,join(X_112,Z)),Z)) = meet(meet(X_114,join(X_112,Z)),join(meet(meet(X_112,Z),meet(X_114,join(X_112,Z))),join(meet(X_112,Z),meet(Z,X_114)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(X_112,Z),meet(X_114,join(X_112,Z))),meet(meet(X_114,join(X_112,Z)),Z)),meet(meet(X_114,join(X_112,Z)),join(meet(meet(X_112,Z),meet(X_114,join(X_112,Z))),meet(Z,join(meet(X_112,Z),meet(X_114,join(X_112,Z))))))) ),[1,1,1],$fot(join(meet(X_112,Z),meet(Z,X_114)))]]) ).
cnf(refute_0_593,plain,
( join(meet(meet(X_112,Z),meet(X_114,join(X_112,Z))),meet(meet(X_114,join(X_112,Z)),Z)) != meet(meet(X_114,join(X_112,Z)),join(meet(meet(X_112,Z),meet(X_114,join(X_112,Z))),meet(Z,join(meet(X_112,Z),meet(X_114,join(X_112,Z))))))
| join(meet(meet(X_112,Z),meet(X_114,join(X_112,Z))),meet(meet(X_114,join(X_112,Z)),Z)) = meet(meet(X_114,join(X_112,Z)),join(meet(meet(X_112,Z),meet(X_114,join(X_112,Z))),join(meet(X_112,Z),meet(Z,X_114)))) ),
inference(resolve,[$cnf( $equal(meet(Z,join(meet(X_112,Z),meet(X_114,join(X_112,Z)))),join(meet(X_112,Z),meet(Z,X_114))) )],[refute_0_591,refute_0_592]) ).
cnf(refute_0_594,plain,
join(meet(meet(X_112,Z),meet(X_114,join(X_112,Z))),meet(meet(X_114,join(X_112,Z)),Z)) = meet(meet(X_114,join(X_112,Z)),join(meet(meet(X_112,Z),meet(X_114,join(X_112,Z))),join(meet(X_112,Z),meet(Z,X_114)))),
inference(resolve,[$cnf( $equal(join(meet(meet(X_112,Z),meet(X_114,join(X_112,Z))),meet(meet(X_114,join(X_112,Z)),Z)),meet(meet(X_114,join(X_112,Z)),join(meet(meet(X_112,Z),meet(X_114,join(X_112,Z))),meet(Z,join(meet(X_112,Z),meet(X_114,join(X_112,Z))))))) )],[refute_0_588,refute_0_593]) ).
cnf(refute_0_595,plain,
join(meet(X_53,X_51),meet(Y,meet(X_53,X_51))) = meet(X_53,X_51),
inference(subst,[],[refute_0_25:[bind(X,$fot(meet(X_53,X_51)))]]) ).
cnf(refute_0_596,plain,
meet(X_51,meet(Y,X_53)) = meet(Y,meet(X_53,X_51)),
inference(subst,[],[refute_0_230:[bind(X,$fot(X_51)),bind(X_22,$fot(Y)),bind(X_23,$fot(X_53))]]) ).
cnf(refute_0_597,plain,
( meet(X_51,meet(Y,X_53)) != meet(Y,meet(X_53,X_51))
| meet(Y,meet(X_53,X_51)) = meet(X_51,meet(Y,X_53)) ),
inference(subst,[],[refute_0_16:[bind(X0,$fot(meet(X_51,meet(Y,X_53)))),bind(Y0,$fot(meet(Y,meet(X_53,X_51))))]]) ).
cnf(refute_0_598,plain,
meet(Y,meet(X_53,X_51)) = meet(X_51,meet(Y,X_53)),
inference(resolve,[$cnf( $equal(meet(X_51,meet(Y,X_53)),meet(Y,meet(X_53,X_51))) )],[refute_0_596,refute_0_597]) ).
cnf(refute_0_599,plain,
( join(meet(X_53,X_51),meet(Y,meet(X_53,X_51))) != meet(X_53,X_51)
| meet(Y,meet(X_53,X_51)) != meet(X_51,meet(Y,X_53))
| join(meet(X_53,X_51),meet(X_51,meet(Y,X_53))) = meet(X_53,X_51) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_53,X_51),meet(Y,meet(X_53,X_51))),meet(X_53,X_51)) ),[0,1],$fot(meet(X_51,meet(Y,X_53)))]]) ).
cnf(refute_0_600,plain,
( join(meet(X_53,X_51),meet(Y,meet(X_53,X_51))) != meet(X_53,X_51)
| join(meet(X_53,X_51),meet(X_51,meet(Y,X_53))) = meet(X_53,X_51) ),
inference(resolve,[$cnf( $equal(meet(Y,meet(X_53,X_51)),meet(X_51,meet(Y,X_53))) )],[refute_0_598,refute_0_599]) ).
cnf(refute_0_601,plain,
join(meet(X_53,X_51),meet(X_51,meet(Y,X_53))) = meet(X_53,X_51),
inference(resolve,[$cnf( $equal(join(meet(X_53,X_51),meet(Y,meet(X_53,X_51))),meet(X_53,X_51)) )],[refute_0_595,refute_0_600]) ).
cnf(refute_0_602,plain,
join(meet(X_114,Z),meet(Z,meet(X_112,X_114))) = meet(X_114,Z),
inference(subst,[],[refute_0_601:[bind(Y,$fot(X_112)),bind(X_51,$fot(Z)),bind(X_53,$fot(X_114))]]) ).
cnf(refute_0_603,plain,
meet(meet(X_22,join(X_22,Y)),X_24) = meet(X_22,meet(join(X_22,Y),X_24)),
inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_22)),bind(Y,$fot(join(X_22,Y))),bind(Z,$fot(X_24))]]) ).
cnf(refute_0_604,plain,
meet(X_22,join(X_22,Y)) = X_22,
inference(subst,[],[absorption1:[bind(X,$fot(X_22))]]) ).
cnf(refute_0_605,plain,
( meet(X_22,join(X_22,Y)) != X_22
| meet(meet(X_22,join(X_22,Y)),X_24) != meet(X_22,meet(join(X_22,Y),X_24))
| meet(X_22,X_24) = meet(X_22,meet(join(X_22,Y),X_24)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_22,join(X_22,Y)),X_24),meet(X_22,meet(join(X_22,Y),X_24))) ),[0,0],$fot(X_22)]]) ).
cnf(refute_0_606,plain,
( meet(meet(X_22,join(X_22,Y)),X_24) != meet(X_22,meet(join(X_22,Y),X_24))
| meet(X_22,X_24) = meet(X_22,meet(join(X_22,Y),X_24)) ),
inference(resolve,[$cnf( $equal(meet(X_22,join(X_22,Y)),X_22) )],[refute_0_604,refute_0_605]) ).
cnf(refute_0_607,plain,
meet(X_22,X_24) = meet(X_22,meet(join(X_22,Y),X_24)),
inference(resolve,[$cnf( $equal(meet(meet(X_22,join(X_22,Y)),X_24),meet(X_22,meet(join(X_22,Y),X_24))) )],[refute_0_603,refute_0_606]) ).
cnf(refute_0_608,plain,
( meet(X_22,X_24) != meet(X_22,meet(join(X_22,Y),X_24))
| meet(X_22,meet(join(X_22,Y),X_24)) = meet(X_22,X_24) ),
inference(subst,[],[refute_0_16:[bind(X0,$fot(meet(X_22,X_24))),bind(Y0,$fot(meet(X_22,meet(join(X_22,Y),X_24))))]]) ).
cnf(refute_0_609,plain,
meet(X_22,meet(join(X_22,Y),X_24)) = meet(X_22,X_24),
inference(resolve,[$cnf( $equal(meet(X_22,X_24),meet(X_22,meet(join(X_22,Y),X_24))) )],[refute_0_607,refute_0_608]) ).
cnf(refute_0_610,plain,
meet(X_112,meet(join(X_112,Z),X_114)) = meet(X_112,X_114),
inference(subst,[],[refute_0_609:[bind(Y,$fot(Z)),bind(X_22,$fot(X_112)),bind(X_24,$fot(X_114))]]) ).
cnf(refute_0_611,plain,
meet(Z,meet(X_112,meet(join(X_112,Z),X_114))) = meet(Z,meet(X_112,meet(join(X_112,Z),X_114))),
introduced(tautology,[refl,[$fot(meet(Z,meet(X_112,meet(join(X_112,Z),X_114))))]]) ).
cnf(refute_0_612,plain,
( meet(Z,meet(X_112,meet(join(X_112,Z),X_114))) != meet(Z,meet(X_112,meet(join(X_112,Z),X_114)))
| meet(X_112,meet(join(X_112,Z),X_114)) != meet(X_112,X_114)
| meet(Z,meet(X_112,meet(join(X_112,Z),X_114))) = meet(Z,meet(X_112,X_114)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(Z,meet(X_112,meet(join(X_112,Z),X_114))),meet(Z,meet(X_112,meet(join(X_112,Z),X_114)))) ),[1,1],$fot(meet(X_112,X_114))]]) ).
cnf(refute_0_613,plain,
( meet(X_112,meet(join(X_112,Z),X_114)) != meet(X_112,X_114)
| meet(Z,meet(X_112,meet(join(X_112,Z),X_114))) = meet(Z,meet(X_112,X_114)) ),
inference(resolve,[$cnf( $equal(meet(Z,meet(X_112,meet(join(X_112,Z),X_114))),meet(Z,meet(X_112,meet(join(X_112,Z),X_114)))) )],[refute_0_611,refute_0_612]) ).
cnf(refute_0_614,plain,
meet(Z,meet(X_112,meet(join(X_112,Z),X_114))) = meet(Z,meet(X_112,X_114)),
inference(resolve,[$cnf( $equal(meet(X_112,meet(join(X_112,Z),X_114)),meet(X_112,X_114)) )],[refute_0_610,refute_0_613]) ).
cnf(refute_0_615,plain,
meet(meet(X_108,meet(X_105,meet(X_106,Y))),join(Y,meet(X_108,meet(X_105,meet(X_106,Y))))) = meet(X_108,meet(X_105,meet(X_106,Y))),
inference(subst,[],[refute_0_2:[bind(X,$fot(meet(X_108,meet(X_105,meet(X_106,Y)))))]]) ).
cnf(refute_0_616,plain,
join(X_25,meet(X_26,meet(meet(X,Y),X_25))) = X_25,
inference(subst,[],[refute_0_62:[bind(X,$fot(X_25)),bind(X_22,$fot(X_26)),bind(X_23,$fot(meet(X,Y)))]]) ).
cnf(refute_0_617,plain,
meet(meet(X,Y),X_25) = meet(X,meet(Y,X_25)),
inference(subst,[],[associativity_of_meet:[bind(Z,$fot(X_25))]]) ).
cnf(refute_0_618,plain,
( join(X_25,meet(X_26,meet(meet(X,Y),X_25))) != X_25
| meet(meet(X,Y),X_25) != meet(X,meet(Y,X_25))
| join(X_25,meet(X_26,meet(X,meet(Y,X_25)))) = X_25 ),
introduced(tautology,[equality,[$cnf( $equal(join(X_25,meet(X_26,meet(meet(X,Y),X_25))),X_25) ),[0,1,1],$fot(meet(X,meet(Y,X_25)))]]) ).
cnf(refute_0_619,plain,
( join(X_25,meet(X_26,meet(meet(X,Y),X_25))) != X_25
| join(X_25,meet(X_26,meet(X,meet(Y,X_25)))) = X_25 ),
inference(resolve,[$cnf( $equal(meet(meet(X,Y),X_25),meet(X,meet(Y,X_25))) )],[refute_0_617,refute_0_618]) ).
cnf(refute_0_620,plain,
join(X_25,meet(X_26,meet(X,meet(Y,X_25)))) = X_25,
inference(resolve,[$cnf( $equal(join(X_25,meet(X_26,meet(meet(X,Y),X_25))),X_25) )],[refute_0_616,refute_0_619]) ).
cnf(refute_0_621,plain,
join(Y,meet(X_108,meet(X_105,meet(X_106,Y)))) = Y,
inference(subst,[],[refute_0_620:[bind(X,$fot(X_105)),bind(Y,$fot(X_106)),bind(X_25,$fot(Y)),bind(X_26,$fot(X_108))]]) ).
cnf(refute_0_622,plain,
( join(Y,meet(X_108,meet(X_105,meet(X_106,Y)))) != Y
| meet(meet(X_108,meet(X_105,meet(X_106,Y))),join(Y,meet(X_108,meet(X_105,meet(X_106,Y))))) != meet(X_108,meet(X_105,meet(X_106,Y)))
| meet(meet(X_108,meet(X_105,meet(X_106,Y))),Y) = meet(X_108,meet(X_105,meet(X_106,Y))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_108,meet(X_105,meet(X_106,Y))),join(Y,meet(X_108,meet(X_105,meet(X_106,Y))))),meet(X_108,meet(X_105,meet(X_106,Y)))) ),[0,1],$fot(Y)]]) ).
cnf(refute_0_623,plain,
( meet(meet(X_108,meet(X_105,meet(X_106,Y))),join(Y,meet(X_108,meet(X_105,meet(X_106,Y))))) != meet(X_108,meet(X_105,meet(X_106,Y)))
| meet(meet(X_108,meet(X_105,meet(X_106,Y))),Y) = meet(X_108,meet(X_105,meet(X_106,Y))) ),
inference(resolve,[$cnf( $equal(join(Y,meet(X_108,meet(X_105,meet(X_106,Y)))),Y) )],[refute_0_621,refute_0_622]) ).
cnf(refute_0_624,plain,
meet(meet(X_108,meet(X_105,meet(X_106,Y))),Y) = meet(X_108,meet(X_105,meet(X_106,Y))),
inference(resolve,[$cnf( $equal(meet(meet(X_108,meet(X_105,meet(X_106,Y))),join(Y,meet(X_108,meet(X_105,meet(X_106,Y))))),meet(X_108,meet(X_105,meet(X_106,Y)))) )],[refute_0_615,refute_0_623]) ).
cnf(refute_0_625,plain,
meet(X_15,meet(meet(X_22,X_23),X_15)) = meet(X_15,meet(X_22,X_23)),
inference(subst,[],[refute_0_11:[bind(Y,$fot(meet(X_22,X_23)))]]) ).
cnf(refute_0_626,plain,
meet(meet(X_22,X_23),X_15) = meet(X_22,meet(X_23,X_15)),
inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_22)),bind(Y,$fot(X_23)),bind(Z,$fot(X_15))]]) ).
cnf(refute_0_627,plain,
( meet(X_15,meet(meet(X_22,X_23),X_15)) != meet(X_15,meet(X_22,X_23))
| meet(meet(X_22,X_23),X_15) != meet(X_22,meet(X_23,X_15))
| meet(X_15,meet(X_22,meet(X_23,X_15))) = meet(X_15,meet(X_22,X_23)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_15,meet(meet(X_22,X_23),X_15)),meet(X_15,meet(X_22,X_23))) ),[0,1],$fot(meet(X_22,meet(X_23,X_15)))]]) ).
cnf(refute_0_628,plain,
( meet(X_15,meet(meet(X_22,X_23),X_15)) != meet(X_15,meet(X_22,X_23))
| meet(X_15,meet(X_22,meet(X_23,X_15))) = meet(X_15,meet(X_22,X_23)) ),
inference(resolve,[$cnf( $equal(meet(meet(X_22,X_23),X_15),meet(X_22,meet(X_23,X_15))) )],[refute_0_626,refute_0_627]) ).
cnf(refute_0_629,plain,
meet(X_15,meet(X_22,meet(X_23,X_15))) = meet(X_15,meet(X_22,X_23)),
inference(resolve,[$cnf( $equal(meet(X_15,meet(meet(X_22,X_23),X_15)),meet(X_15,meet(X_22,X_23))) )],[refute_0_625,refute_0_628]) ).
cnf(refute_0_630,plain,
meet(Y,meet(X_105,meet(X_106,Y))) = meet(Y,meet(X_105,X_106)),
inference(subst,[],[refute_0_629:[bind(X_15,$fot(Y)),bind(X_22,$fot(X_105)),bind(X_23,$fot(X_106))]]) ).
cnf(refute_0_631,plain,
meet(X_108,meet(Y,meet(X_105,meet(X_106,Y)))) = meet(X_108,meet(Y,meet(X_105,meet(X_106,Y)))),
introduced(tautology,[refl,[$fot(meet(X_108,meet(Y,meet(X_105,meet(X_106,Y)))))]]) ).
cnf(refute_0_632,plain,
( meet(Y,meet(X_105,meet(X_106,Y))) != meet(Y,meet(X_105,X_106))
| meet(X_108,meet(Y,meet(X_105,meet(X_106,Y)))) != meet(X_108,meet(Y,meet(X_105,meet(X_106,Y))))
| meet(X_108,meet(Y,meet(X_105,meet(X_106,Y)))) = meet(X_108,meet(Y,meet(X_105,X_106))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_108,meet(Y,meet(X_105,meet(X_106,Y)))),meet(X_108,meet(Y,meet(X_105,meet(X_106,Y))))) ),[1,1],$fot(meet(Y,meet(X_105,X_106)))]]) ).
cnf(refute_0_633,plain,
( meet(Y,meet(X_105,meet(X_106,Y))) != meet(Y,meet(X_105,X_106))
| meet(X_108,meet(Y,meet(X_105,meet(X_106,Y)))) = meet(X_108,meet(Y,meet(X_105,X_106))) ),
inference(resolve,[$cnf( $equal(meet(X_108,meet(Y,meet(X_105,meet(X_106,Y)))),meet(X_108,meet(Y,meet(X_105,meet(X_106,Y))))) )],[refute_0_631,refute_0_632]) ).
cnf(refute_0_634,plain,
meet(X_108,meet(Y,meet(X_105,meet(X_106,Y)))) = meet(X_108,meet(Y,meet(X_105,X_106))),
inference(resolve,[$cnf( $equal(meet(Y,meet(X_105,meet(X_106,Y))),meet(Y,meet(X_105,X_106))) )],[refute_0_630,refute_0_633]) ).
cnf(refute_0_635,plain,
meet(meet(X_54,X_56),Y) = meet(Y,meet(X_54,X_56)),
inference(subst,[],[commutativity_of_meet:[bind(X,$fot(meet(X_54,X_56)))]]) ).
cnf(refute_0_636,plain,
meet(Y,meet(X_54,X_56)) = meet(X_54,meet(Y,X_56)),
inference(subst,[],[refute_0_269:[bind(X_22,$fot(X_54)),bind(X_23,$fot(Y)),bind(X_24,$fot(X_56))]]) ).
cnf(refute_0_637,plain,
( meet(Y,meet(X_54,X_56)) != meet(X_54,meet(Y,X_56))
| meet(meet(X_54,X_56),Y) != meet(Y,meet(X_54,X_56))
| meet(meet(X_54,X_56),Y) = meet(X_54,meet(Y,X_56)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_54,X_56),Y),meet(Y,meet(X_54,X_56))) ),[1],$fot(meet(X_54,meet(Y,X_56)))]]) ).
cnf(refute_0_638,plain,
( meet(meet(X_54,X_56),Y) != meet(Y,meet(X_54,X_56))
| meet(meet(X_54,X_56),Y) = meet(X_54,meet(Y,X_56)) ),
inference(resolve,[$cnf( $equal(meet(Y,meet(X_54,X_56)),meet(X_54,meet(Y,X_56))) )],[refute_0_636,refute_0_637]) ).
cnf(refute_0_639,plain,
meet(meet(X_54,X_56),Y) = meet(X_54,meet(Y,X_56)),
inference(resolve,[$cnf( $equal(meet(meet(X_54,X_56),Y),meet(Y,meet(X_54,X_56))) )],[refute_0_635,refute_0_638]) ).
cnf(refute_0_640,plain,
meet(meet(X_54,X_56),Y) = meet(X_54,meet(X_56,Y)),
inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_54)),bind(Y,$fot(X_56)),bind(Z,$fot(Y))]]) ).
cnf(refute_0_641,plain,
( meet(meet(X_54,X_56),Y) != meet(X_54,meet(Y,X_56))
| meet(meet(X_54,X_56),Y) != meet(X_54,meet(X_56,Y))
| meet(X_54,meet(X_56,Y)) = meet(X_54,meet(Y,X_56)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_54,X_56),Y),meet(X_54,meet(Y,X_56))) ),[0],$fot(meet(X_54,meet(X_56,Y)))]]) ).
cnf(refute_0_642,plain,
( meet(meet(X_54,X_56),Y) != meet(X_54,meet(Y,X_56))
| meet(X_54,meet(X_56,Y)) = meet(X_54,meet(Y,X_56)) ),
inference(resolve,[$cnf( $equal(meet(meet(X_54,X_56),Y),meet(X_54,meet(X_56,Y))) )],[refute_0_640,refute_0_641]) ).
cnf(refute_0_643,plain,
meet(X_54,meet(X_56,Y)) = meet(X_54,meet(Y,X_56)),
inference(resolve,[$cnf( $equal(meet(meet(X_54,X_56),Y),meet(X_54,meet(Y,X_56))) )],[refute_0_639,refute_0_642]) ).
cnf(refute_0_644,plain,
( meet(X_54,meet(X_56,Y)) != meet(X_54,meet(Y,X_56))
| meet(X_54,meet(Y,X_56)) = meet(X_54,meet(X_56,Y)) ),
inference(subst,[],[refute_0_16:[bind(X0,$fot(meet(X_54,meet(X_56,Y)))),bind(Y0,$fot(meet(X_54,meet(Y,X_56))))]]) ).
cnf(refute_0_645,plain,
meet(X_54,meet(Y,X_56)) = meet(X_54,meet(X_56,Y)),
inference(resolve,[$cnf( $equal(meet(X_54,meet(X_56,Y)),meet(X_54,meet(Y,X_56))) )],[refute_0_643,refute_0_644]) ).
cnf(refute_0_646,plain,
meet(X_108,meet(meet(X_105,meet(X_106,Y)),Y)) = meet(X_108,meet(Y,meet(X_105,meet(X_106,Y)))),
inference(subst,[],[refute_0_645:[bind(Y,$fot(meet(X_105,meet(X_106,Y)))),bind(X_54,$fot(X_108)),bind(X_56,$fot(Y))]]) ).
cnf(refute_0_647,plain,
meet(meet(X_108,meet(X_105,meet(X_106,Y))),Y) = meet(X_108,meet(meet(X_105,meet(X_106,Y)),Y)),
inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_108)),bind(Y,$fot(meet(X_105,meet(X_106,Y)))),bind(Z,$fot(Y))]]) ).
cnf(refute_0_648,plain,
( meet(X_108,meet(meet(X_105,meet(X_106,Y)),Y)) != meet(X_108,meet(Y,meet(X_105,meet(X_106,Y))))
| meet(meet(X_108,meet(X_105,meet(X_106,Y))),Y) != meet(X_108,meet(meet(X_105,meet(X_106,Y)),Y))
| meet(meet(X_108,meet(X_105,meet(X_106,Y))),Y) = meet(X_108,meet(Y,meet(X_105,meet(X_106,Y)))) ),
inference(subst,[],[refute_0_93:[bind(X0,$fot(meet(meet(X_108,meet(X_105,meet(X_106,Y))),Y))),bind(Y0,$fot(meet(X_108,meet(meet(X_105,meet(X_106,Y)),Y)))),bind(Z0,$fot(meet(X_108,meet(Y,meet(X_105,meet(X_106,Y))))))]]) ).
cnf(refute_0_649,plain,
( meet(X_108,meet(meet(X_105,meet(X_106,Y)),Y)) != meet(X_108,meet(Y,meet(X_105,meet(X_106,Y))))
| meet(meet(X_108,meet(X_105,meet(X_106,Y))),Y) = meet(X_108,meet(Y,meet(X_105,meet(X_106,Y)))) ),
inference(resolve,[$cnf( $equal(meet(meet(X_108,meet(X_105,meet(X_106,Y))),Y),meet(X_108,meet(meet(X_105,meet(X_106,Y)),Y))) )],[refute_0_647,refute_0_648]) ).
cnf(refute_0_650,plain,
meet(meet(X_108,meet(X_105,meet(X_106,Y))),Y) = meet(X_108,meet(Y,meet(X_105,meet(X_106,Y)))),
inference(resolve,[$cnf( $equal(meet(X_108,meet(meet(X_105,meet(X_106,Y)),Y)),meet(X_108,meet(Y,meet(X_105,meet(X_106,Y))))) )],[refute_0_646,refute_0_649]) ).
cnf(refute_0_651,plain,
( meet(X_108,meet(Y,meet(X_105,meet(X_106,Y)))) != meet(X_108,meet(Y,meet(X_105,X_106)))
| meet(meet(X_108,meet(X_105,meet(X_106,Y))),Y) != meet(X_108,meet(Y,meet(X_105,meet(X_106,Y))))
| meet(meet(X_108,meet(X_105,meet(X_106,Y))),Y) = meet(X_108,meet(Y,meet(X_105,X_106))) ),
inference(subst,[],[refute_0_93:[bind(X0,$fot(meet(meet(X_108,meet(X_105,meet(X_106,Y))),Y))),bind(Y0,$fot(meet(X_108,meet(Y,meet(X_105,meet(X_106,Y)))))),bind(Z0,$fot(meet(X_108,meet(Y,meet(X_105,X_106)))))]]) ).
cnf(refute_0_652,plain,
( meet(X_108,meet(Y,meet(X_105,meet(X_106,Y)))) != meet(X_108,meet(Y,meet(X_105,X_106)))
| meet(meet(X_108,meet(X_105,meet(X_106,Y))),Y) = meet(X_108,meet(Y,meet(X_105,X_106))) ),
inference(resolve,[$cnf( $equal(meet(meet(X_108,meet(X_105,meet(X_106,Y))),Y),meet(X_108,meet(Y,meet(X_105,meet(X_106,Y))))) )],[refute_0_650,refute_0_651]) ).
cnf(refute_0_653,plain,
meet(meet(X_108,meet(X_105,meet(X_106,Y))),Y) = meet(X_108,meet(Y,meet(X_105,X_106))),
inference(resolve,[$cnf( $equal(meet(X_108,meet(Y,meet(X_105,meet(X_106,Y)))),meet(X_108,meet(Y,meet(X_105,X_106)))) )],[refute_0_634,refute_0_652]) ).
cnf(refute_0_654,plain,
( meet(meet(X_108,meet(X_105,meet(X_106,Y))),Y) != meet(X_108,meet(Y,meet(X_105,X_106)))
| meet(meet(X_108,meet(X_105,meet(X_106,Y))),Y) != meet(X_108,meet(X_105,meet(X_106,Y)))
| meet(X_108,meet(Y,meet(X_105,X_106))) = meet(X_108,meet(X_105,meet(X_106,Y))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_108,meet(X_105,meet(X_106,Y))),Y),meet(X_108,meet(X_105,meet(X_106,Y)))) ),[0],$fot(meet(X_108,meet(Y,meet(X_105,X_106))))]]) ).
cnf(refute_0_655,plain,
( meet(meet(X_108,meet(X_105,meet(X_106,Y))),Y) != meet(X_108,meet(X_105,meet(X_106,Y)))
| meet(X_108,meet(Y,meet(X_105,X_106))) = meet(X_108,meet(X_105,meet(X_106,Y))) ),
inference(resolve,[$cnf( $equal(meet(meet(X_108,meet(X_105,meet(X_106,Y))),Y),meet(X_108,meet(Y,meet(X_105,X_106)))) )],[refute_0_653,refute_0_654]) ).
cnf(refute_0_656,plain,
meet(X_108,meet(Y,meet(X_105,X_106))) = meet(X_108,meet(X_105,meet(X_106,Y))),
inference(resolve,[$cnf( $equal(meet(meet(X_108,meet(X_105,meet(X_106,Y))),Y),meet(X_108,meet(X_105,meet(X_106,Y)))) )],[refute_0_624,refute_0_655]) ).
cnf(refute_0_657,plain,
( meet(X_108,meet(Y,meet(X_105,X_106))) != meet(X_108,meet(X_105,meet(X_106,Y)))
| meet(X_108,meet(X_105,meet(X_106,Y))) = meet(X_108,meet(Y,meet(X_105,X_106))) ),
inference(subst,[],[refute_0_16:[bind(X0,$fot(meet(X_108,meet(Y,meet(X_105,X_106))))),bind(Y0,$fot(meet(X_108,meet(X_105,meet(X_106,Y)))))]]) ).
cnf(refute_0_658,plain,
meet(X_108,meet(X_105,meet(X_106,Y))) = meet(X_108,meet(Y,meet(X_105,X_106))),
inference(resolve,[$cnf( $equal(meet(X_108,meet(Y,meet(X_105,X_106))),meet(X_108,meet(X_105,meet(X_106,Y)))) )],[refute_0_656,refute_0_657]) ).
cnf(refute_0_659,plain,
meet(Z,meet(join(X_112,Z),meet(X_114,X_112))) = meet(Z,meet(X_112,meet(join(X_112,Z),X_114))),
inference(subst,[],[refute_0_658:[bind(Y,$fot(X_112)),bind(X_105,$fot(join(X_112,Z))),bind(X_106,$fot(X_114)),bind(X_108,$fot(Z))]]) ).
cnf(refute_0_660,plain,
meet(X_102,meet(X_104,meet(X_22,X_23))) = meet(meet(X_22,X_23),meet(X_104,X_102)),
inference(subst,[],[refute_0_319:[bind(X_51,$fot(X_102)),bind(X_52,$fot(meet(X_22,X_23))),bind(X_53,$fot(X_104))]]) ).
cnf(refute_0_661,plain,
meet(X_104,meet(X_22,X_23)) = meet(X_22,meet(X_23,X_104)),
inference(subst,[],[refute_0_230:[bind(X,$fot(X_104))]]) ).
cnf(refute_0_662,plain,
( meet(X_102,meet(X_104,meet(X_22,X_23))) != meet(meet(X_22,X_23),meet(X_104,X_102))
| meet(X_104,meet(X_22,X_23)) != meet(X_22,meet(X_23,X_104))
| meet(X_102,meet(X_22,meet(X_23,X_104))) = meet(meet(X_22,X_23),meet(X_104,X_102)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_102,meet(X_104,meet(X_22,X_23))),meet(meet(X_22,X_23),meet(X_104,X_102))) ),[0,1],$fot(meet(X_22,meet(X_23,X_104)))]]) ).
cnf(refute_0_663,plain,
( meet(X_102,meet(X_104,meet(X_22,X_23))) != meet(meet(X_22,X_23),meet(X_104,X_102))
| meet(X_102,meet(X_22,meet(X_23,X_104))) = meet(meet(X_22,X_23),meet(X_104,X_102)) ),
inference(resolve,[$cnf( $equal(meet(X_104,meet(X_22,X_23)),meet(X_22,meet(X_23,X_104))) )],[refute_0_661,refute_0_662]) ).
cnf(refute_0_664,plain,
meet(X_102,meet(X_22,meet(X_23,X_104))) = meet(meet(X_22,X_23),meet(X_104,X_102)),
inference(resolve,[$cnf( $equal(meet(X_102,meet(X_104,meet(X_22,X_23))),meet(meet(X_22,X_23),meet(X_104,X_102))) )],[refute_0_660,refute_0_663]) ).
cnf(refute_0_665,plain,
meet(meet(X_22,X_23),meet(X_104,X_102)) = meet(X_22,meet(X_23,meet(X_104,X_102))),
inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_22)),bind(Y,$fot(X_23)),bind(Z,$fot(meet(X_104,X_102)))]]) ).
cnf(refute_0_666,plain,
( meet(X_102,meet(X_22,meet(X_23,X_104))) != meet(meet(X_22,X_23),meet(X_104,X_102))
| meet(meet(X_22,X_23),meet(X_104,X_102)) != meet(X_22,meet(X_23,meet(X_104,X_102)))
| meet(X_102,meet(X_22,meet(X_23,X_104))) = meet(X_22,meet(X_23,meet(X_104,X_102))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(meet(X_102,meet(X_22,meet(X_23,X_104))),meet(X_22,meet(X_23,meet(X_104,X_102)))) ),[0],$fot(meet(meet(X_22,X_23),meet(X_104,X_102)))]]) ).
cnf(refute_0_667,plain,
( meet(X_102,meet(X_22,meet(X_23,X_104))) != meet(meet(X_22,X_23),meet(X_104,X_102))
| meet(X_102,meet(X_22,meet(X_23,X_104))) = meet(X_22,meet(X_23,meet(X_104,X_102))) ),
inference(resolve,[$cnf( $equal(meet(meet(X_22,X_23),meet(X_104,X_102)),meet(X_22,meet(X_23,meet(X_104,X_102)))) )],[refute_0_665,refute_0_666]) ).
cnf(refute_0_668,plain,
meet(X_102,meet(X_22,meet(X_23,X_104))) = meet(X_22,meet(X_23,meet(X_104,X_102))),
inference(resolve,[$cnf( $equal(meet(X_102,meet(X_22,meet(X_23,X_104))),meet(meet(X_22,X_23),meet(X_104,X_102))) )],[refute_0_664,refute_0_667]) ).
cnf(refute_0_669,plain,
( meet(X_102,meet(X_22,meet(X_23,X_104))) != meet(X_22,meet(X_23,meet(X_104,X_102)))
| meet(X_22,meet(X_23,meet(X_104,X_102))) = meet(X_102,meet(X_22,meet(X_23,X_104))) ),
inference(subst,[],[refute_0_16:[bind(X0,$fot(meet(X_102,meet(X_22,meet(X_23,X_104))))),bind(Y0,$fot(meet(X_22,meet(X_23,meet(X_104,X_102)))))]]) ).
cnf(refute_0_670,plain,
meet(X_22,meet(X_23,meet(X_104,X_102))) = meet(X_102,meet(X_22,meet(X_23,X_104))),
inference(resolve,[$cnf( $equal(meet(X_102,meet(X_22,meet(X_23,X_104))),meet(X_22,meet(X_23,meet(X_104,X_102)))) )],[refute_0_668,refute_0_669]) ).
cnf(refute_0_671,plain,
meet(join(X_112,Z),meet(X_114,meet(X_112,Z))) = meet(Z,meet(join(X_112,Z),meet(X_114,X_112))),
inference(subst,[],[refute_0_670:[bind(X_102,$fot(Z)),bind(X_104,$fot(X_112)),bind(X_22,$fot(join(X_112,Z))),bind(X_23,$fot(X_114))]]) ).
cnf(refute_0_672,plain,
( meet(Z,meet(join(X_112,Z),meet(X_114,X_112))) != meet(Z,meet(X_112,meet(join(X_112,Z),X_114)))
| meet(join(X_112,Z),meet(X_114,meet(X_112,Z))) != meet(Z,meet(join(X_112,Z),meet(X_114,X_112)))
| meet(join(X_112,Z),meet(X_114,meet(X_112,Z))) = meet(Z,meet(X_112,meet(join(X_112,Z),X_114))) ),
inference(subst,[],[refute_0_93:[bind(X0,$fot(meet(join(X_112,Z),meet(X_114,meet(X_112,Z))))),bind(Y0,$fot(meet(Z,meet(join(X_112,Z),meet(X_114,X_112))))),bind(Z0,$fot(meet(Z,meet(X_112,meet(join(X_112,Z),X_114)))))]]) ).
cnf(refute_0_673,plain,
( meet(Z,meet(join(X_112,Z),meet(X_114,X_112))) != meet(Z,meet(X_112,meet(join(X_112,Z),X_114)))
| meet(join(X_112,Z),meet(X_114,meet(X_112,Z))) = meet(Z,meet(X_112,meet(join(X_112,Z),X_114))) ),
inference(resolve,[$cnf( $equal(meet(join(X_112,Z),meet(X_114,meet(X_112,Z))),meet(Z,meet(join(X_112,Z),meet(X_114,X_112)))) )],[refute_0_671,refute_0_672]) ).
cnf(refute_0_674,plain,
meet(join(X_112,Z),meet(X_114,meet(X_112,Z))) = meet(Z,meet(X_112,meet(join(X_112,Z),X_114))),
inference(resolve,[$cnf( $equal(meet(Z,meet(join(X_112,Z),meet(X_114,X_112))),meet(Z,meet(X_112,meet(join(X_112,Z),X_114)))) )],[refute_0_659,refute_0_673]) ).
cnf(refute_0_675,plain,
meet(X_83,join(meet(X_18,Y),meet(Y,X_18))) = meet(join(meet(Y,X_18),meet(X_18,Y)),X_83),
inference(subst,[],[refute_0_238:[bind(Y,$fot(X_83)),bind(X_81,$fot(meet(Y,X_18))),bind(X_82,$fot(meet(X_18,Y)))]]) ).
cnf(refute_0_676,plain,
( join(meet(X_18,Y),meet(Y,X_18)) != meet(X_18,Y)
| meet(X_83,join(meet(X_18,Y),meet(Y,X_18))) != meet(join(meet(Y,X_18),meet(X_18,Y)),X_83)
| meet(X_83,meet(X_18,Y)) = meet(join(meet(Y,X_18),meet(X_18,Y)),X_83) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_83,join(meet(X_18,Y),meet(Y,X_18))),meet(join(meet(Y,X_18),meet(X_18,Y)),X_83)) ),[0,1],$fot(meet(X_18,Y))]]) ).
cnf(refute_0_677,plain,
( meet(X_83,join(meet(X_18,Y),meet(Y,X_18))) != meet(join(meet(Y,X_18),meet(X_18,Y)),X_83)
| meet(X_83,meet(X_18,Y)) = meet(join(meet(Y,X_18),meet(X_18,Y)),X_83) ),
inference(resolve,[$cnf( $equal(join(meet(X_18,Y),meet(Y,X_18)),meet(X_18,Y)) )],[refute_0_30,refute_0_676]) ).
cnf(refute_0_678,plain,
meet(X_83,meet(X_18,Y)) = meet(join(meet(Y,X_18),meet(X_18,Y)),X_83),
inference(resolve,[$cnf( $equal(meet(X_83,join(meet(X_18,Y),meet(Y,X_18))),meet(join(meet(Y,X_18),meet(X_18,Y)),X_83)) )],[refute_0_675,refute_0_677]) ).
cnf(refute_0_679,plain,
meet(meet(Y,X_18),X_83) = meet(Y,meet(X_18,X_83)),
inference(subst,[],[associativity_of_meet:[bind(X,$fot(Y)),bind(Y,$fot(X_18)),bind(Z,$fot(X_83))]]) ).
cnf(refute_0_680,plain,
join(meet(Y,X_18),meet(X_18,Y)) = meet(Y,X_18),
inference(subst,[],[refute_0_30:[bind(Y,$fot(X_18)),bind(X_18,$fot(Y))]]) ).
cnf(refute_0_681,plain,
meet(join(meet(Y,X_18),meet(X_18,Y)),X_83) = meet(join(meet(Y,X_18),meet(X_18,Y)),X_83),
introduced(tautology,[refl,[$fot(meet(join(meet(Y,X_18),meet(X_18,Y)),X_83))]]) ).
cnf(refute_0_682,plain,
( join(meet(Y,X_18),meet(X_18,Y)) != meet(Y,X_18)
| meet(join(meet(Y,X_18),meet(X_18,Y)),X_83) != meet(join(meet(Y,X_18),meet(X_18,Y)),X_83)
| meet(join(meet(Y,X_18),meet(X_18,Y)),X_83) = meet(meet(Y,X_18),X_83) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(meet(Y,X_18),meet(X_18,Y)),X_83),meet(join(meet(Y,X_18),meet(X_18,Y)),X_83)) ),[1,0],$fot(meet(Y,X_18))]]) ).
cnf(refute_0_683,plain,
( join(meet(Y,X_18),meet(X_18,Y)) != meet(Y,X_18)
| meet(join(meet(Y,X_18),meet(X_18,Y)),X_83) = meet(meet(Y,X_18),X_83) ),
inference(resolve,[$cnf( $equal(meet(join(meet(Y,X_18),meet(X_18,Y)),X_83),meet(join(meet(Y,X_18),meet(X_18,Y)),X_83)) )],[refute_0_681,refute_0_682]) ).
cnf(refute_0_684,plain,
meet(join(meet(Y,X_18),meet(X_18,Y)),X_83) = meet(meet(Y,X_18),X_83),
inference(resolve,[$cnf( $equal(join(meet(Y,X_18),meet(X_18,Y)),meet(Y,X_18)) )],[refute_0_680,refute_0_683]) ).
cnf(refute_0_685,plain,
( meet(join(meet(Y,X_18),meet(X_18,Y)),X_83) != meet(meet(Y,X_18),X_83)
| meet(meet(Y,X_18),X_83) != meet(Y,meet(X_18,X_83))
| meet(join(meet(Y,X_18),meet(X_18,Y)),X_83) = meet(Y,meet(X_18,X_83)) ),
inference(subst,[],[refute_0_93:[bind(X0,$fot(meet(join(meet(Y,X_18),meet(X_18,Y)),X_83))),bind(Y0,$fot(meet(meet(Y,X_18),X_83))),bind(Z0,$fot(meet(Y,meet(X_18,X_83))))]]) ).
cnf(refute_0_686,plain,
( meet(meet(Y,X_18),X_83) != meet(Y,meet(X_18,X_83))
| meet(join(meet(Y,X_18),meet(X_18,Y)),X_83) = meet(Y,meet(X_18,X_83)) ),
inference(resolve,[$cnf( $equal(meet(join(meet(Y,X_18),meet(X_18,Y)),X_83),meet(meet(Y,X_18),X_83)) )],[refute_0_684,refute_0_685]) ).
cnf(refute_0_687,plain,
meet(join(meet(Y,X_18),meet(X_18,Y)),X_83) = meet(Y,meet(X_18,X_83)),
inference(resolve,[$cnf( $equal(meet(meet(Y,X_18),X_83),meet(Y,meet(X_18,X_83))) )],[refute_0_679,refute_0_686]) ).
cnf(refute_0_688,plain,
( meet(X_83,meet(X_18,Y)) != meet(join(meet(Y,X_18),meet(X_18,Y)),X_83)
| meet(join(meet(Y,X_18),meet(X_18,Y)),X_83) != meet(Y,meet(X_18,X_83))
| meet(X_83,meet(X_18,Y)) = meet(Y,meet(X_18,X_83)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(meet(X_83,meet(X_18,Y)),meet(Y,meet(X_18,X_83))) ),[0],$fot(meet(join(meet(Y,X_18),meet(X_18,Y)),X_83))]]) ).
cnf(refute_0_689,plain,
( meet(X_83,meet(X_18,Y)) != meet(join(meet(Y,X_18),meet(X_18,Y)),X_83)
| meet(X_83,meet(X_18,Y)) = meet(Y,meet(X_18,X_83)) ),
inference(resolve,[$cnf( $equal(meet(join(meet(Y,X_18),meet(X_18,Y)),X_83),meet(Y,meet(X_18,X_83))) )],[refute_0_687,refute_0_688]) ).
cnf(refute_0_690,plain,
meet(X_83,meet(X_18,Y)) = meet(Y,meet(X_18,X_83)),
inference(resolve,[$cnf( $equal(meet(X_83,meet(X_18,Y)),meet(join(meet(Y,X_18),meet(X_18,Y)),X_83)) )],[refute_0_678,refute_0_689]) ).
cnf(refute_0_691,plain,
( meet(X_83,meet(X_18,Y)) != meet(Y,meet(X_18,X_83))
| meet(Y,meet(X_18,X_83)) = meet(X_83,meet(X_18,Y)) ),
inference(subst,[],[refute_0_16:[bind(X0,$fot(meet(X_83,meet(X_18,Y)))),bind(Y0,$fot(meet(Y,meet(X_18,X_83))))]]) ).
cnf(refute_0_692,plain,
meet(Y,meet(X_18,X_83)) = meet(X_83,meet(X_18,Y)),
inference(resolve,[$cnf( $equal(meet(X_83,meet(X_18,Y)),meet(Y,meet(X_18,X_83))) )],[refute_0_690,refute_0_691]) ).
cnf(refute_0_693,plain,
meet(meet(X_112,Z),meet(X_114,join(X_112,Z))) = meet(join(X_112,Z),meet(X_114,meet(X_112,Z))),
inference(subst,[],[refute_0_692:[bind(Y,$fot(meet(X_112,Z))),bind(X_18,$fot(X_114)),bind(X_83,$fot(join(X_112,Z)))]]) ).
cnf(refute_0_694,plain,
( meet(join(X_112,Z),meet(X_114,meet(X_112,Z))) != meet(Z,meet(X_112,meet(join(X_112,Z),X_114)))
| meet(meet(X_112,Z),meet(X_114,join(X_112,Z))) != meet(join(X_112,Z),meet(X_114,meet(X_112,Z)))
| meet(meet(X_112,Z),meet(X_114,join(X_112,Z))) = meet(Z,meet(X_112,meet(join(X_112,Z),X_114))) ),
inference(subst,[],[refute_0_93:[bind(X0,$fot(meet(meet(X_112,Z),meet(X_114,join(X_112,Z))))),bind(Y0,$fot(meet(join(X_112,Z),meet(X_114,meet(X_112,Z))))),bind(Z0,$fot(meet(Z,meet(X_112,meet(join(X_112,Z),X_114)))))]]) ).
cnf(refute_0_695,plain,
( meet(join(X_112,Z),meet(X_114,meet(X_112,Z))) != meet(Z,meet(X_112,meet(join(X_112,Z),X_114)))
| meet(meet(X_112,Z),meet(X_114,join(X_112,Z))) = meet(Z,meet(X_112,meet(join(X_112,Z),X_114))) ),
inference(resolve,[$cnf( $equal(meet(meet(X_112,Z),meet(X_114,join(X_112,Z))),meet(join(X_112,Z),meet(X_114,meet(X_112,Z)))) )],[refute_0_693,refute_0_694]) ).
cnf(refute_0_696,plain,
meet(meet(X_112,Z),meet(X_114,join(X_112,Z))) = meet(Z,meet(X_112,meet(join(X_112,Z),X_114))),
inference(resolve,[$cnf( $equal(meet(join(X_112,Z),meet(X_114,meet(X_112,Z))),meet(Z,meet(X_112,meet(join(X_112,Z),X_114)))) )],[refute_0_674,refute_0_695]) ).
cnf(refute_0_697,plain,
( meet(Z,meet(X_112,meet(join(X_112,Z),X_114))) != meet(Z,meet(X_112,X_114))
| meet(meet(X_112,Z),meet(X_114,join(X_112,Z))) != meet(Z,meet(X_112,meet(join(X_112,Z),X_114)))
| meet(meet(X_112,Z),meet(X_114,join(X_112,Z))) = meet(Z,meet(X_112,X_114)) ),
inference(subst,[],[refute_0_93:[bind(X0,$fot(meet(meet(X_112,Z),meet(X_114,join(X_112,Z))))),bind(Y0,$fot(meet(Z,meet(X_112,meet(join(X_112,Z),X_114))))),bind(Z0,$fot(meet(Z,meet(X_112,X_114))))]]) ).
cnf(refute_0_698,plain,
( meet(Z,meet(X_112,meet(join(X_112,Z),X_114))) != meet(Z,meet(X_112,X_114))
| meet(meet(X_112,Z),meet(X_114,join(X_112,Z))) = meet(Z,meet(X_112,X_114)) ),
inference(resolve,[$cnf( $equal(meet(meet(X_112,Z),meet(X_114,join(X_112,Z))),meet(Z,meet(X_112,meet(join(X_112,Z),X_114)))) )],[refute_0_696,refute_0_697]) ).
cnf(refute_0_699,plain,
meet(meet(X_112,Z),meet(X_114,join(X_112,Z))) = meet(Z,meet(X_112,X_114)),
inference(resolve,[$cnf( $equal(meet(Z,meet(X_112,meet(join(X_112,Z),X_114))),meet(Z,meet(X_112,X_114))) )],[refute_0_614,refute_0_698]) ).
cnf(refute_0_700,plain,
join(meet(X_114,Z),meet(meet(X_112,Z),meet(X_114,join(X_112,Z)))) = join(meet(X_114,Z),meet(meet(X_112,Z),meet(X_114,join(X_112,Z)))),
introduced(tautology,[refl,[$fot(join(meet(X_114,Z),meet(meet(X_112,Z),meet(X_114,join(X_112,Z)))))]]) ).
cnf(refute_0_701,plain,
( join(meet(X_114,Z),meet(meet(X_112,Z),meet(X_114,join(X_112,Z)))) != join(meet(X_114,Z),meet(meet(X_112,Z),meet(X_114,join(X_112,Z))))
| meet(meet(X_112,Z),meet(X_114,join(X_112,Z))) != meet(Z,meet(X_112,X_114))
| join(meet(X_114,Z),meet(meet(X_112,Z),meet(X_114,join(X_112,Z)))) = join(meet(X_114,Z),meet(Z,meet(X_112,X_114))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_114,Z),meet(meet(X_112,Z),meet(X_114,join(X_112,Z)))),join(meet(X_114,Z),meet(meet(X_112,Z),meet(X_114,join(X_112,Z))))) ),[1,1],$fot(meet(Z,meet(X_112,X_114)))]]) ).
cnf(refute_0_702,plain,
( meet(meet(X_112,Z),meet(X_114,join(X_112,Z))) != meet(Z,meet(X_112,X_114))
| join(meet(X_114,Z),meet(meet(X_112,Z),meet(X_114,join(X_112,Z)))) = join(meet(X_114,Z),meet(Z,meet(X_112,X_114))) ),
inference(resolve,[$cnf( $equal(join(meet(X_114,Z),meet(meet(X_112,Z),meet(X_114,join(X_112,Z)))),join(meet(X_114,Z),meet(meet(X_112,Z),meet(X_114,join(X_112,Z))))) )],[refute_0_700,refute_0_701]) ).
cnf(refute_0_703,plain,
join(meet(X_114,Z),meet(meet(X_112,Z),meet(X_114,join(X_112,Z)))) = join(meet(X_114,Z),meet(Z,meet(X_112,X_114))),
inference(resolve,[$cnf( $equal(meet(meet(X_112,Z),meet(X_114,join(X_112,Z))),meet(Z,meet(X_112,X_114))) )],[refute_0_699,refute_0_702]) ).
cnf(refute_0_704,plain,
meet(Z,join(X_112,Z)) = Z,
inference(subst,[],[refute_0_2:[bind(X,$fot(Z)),bind(Y,$fot(X_112))]]) ).
cnf(refute_0_705,plain,
meet(X_114,meet(Z,join(X_112,Z))) = meet(X_114,meet(Z,join(X_112,Z))),
introduced(tautology,[refl,[$fot(meet(X_114,meet(Z,join(X_112,Z))))]]) ).
cnf(refute_0_706,plain,
( meet(Z,join(X_112,Z)) != Z
| meet(X_114,meet(Z,join(X_112,Z))) != meet(X_114,meet(Z,join(X_112,Z)))
| meet(X_114,meet(Z,join(X_112,Z))) = meet(X_114,Z) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_114,meet(Z,join(X_112,Z))),meet(X_114,meet(Z,join(X_112,Z)))) ),[1,1],$fot(Z)]]) ).
cnf(refute_0_707,plain,
( meet(Z,join(X_112,Z)) != Z
| meet(X_114,meet(Z,join(X_112,Z))) = meet(X_114,Z) ),
inference(resolve,[$cnf( $equal(meet(X_114,meet(Z,join(X_112,Z))),meet(X_114,meet(Z,join(X_112,Z)))) )],[refute_0_705,refute_0_706]) ).
cnf(refute_0_708,plain,
meet(X_114,meet(Z,join(X_112,Z))) = meet(X_114,Z),
inference(resolve,[$cnf( $equal(meet(Z,join(X_112,Z)),Z) )],[refute_0_704,refute_0_707]) ).
cnf(refute_0_709,plain,
join(meet(X_114,meet(Z,join(X_112,Z))),meet(meet(X_112,Z),meet(X_114,join(X_112,Z)))) = join(meet(X_114,meet(Z,join(X_112,Z))),meet(meet(X_112,Z),meet(X_114,join(X_112,Z)))),
introduced(tautology,[refl,[$fot(join(meet(X_114,meet(Z,join(X_112,Z))),meet(meet(X_112,Z),meet(X_114,join(X_112,Z)))))]]) ).
cnf(refute_0_710,plain,
( join(meet(X_114,meet(Z,join(X_112,Z))),meet(meet(X_112,Z),meet(X_114,join(X_112,Z)))) != join(meet(X_114,meet(Z,join(X_112,Z))),meet(meet(X_112,Z),meet(X_114,join(X_112,Z))))
| meet(X_114,meet(Z,join(X_112,Z))) != meet(X_114,Z)
| join(meet(X_114,meet(Z,join(X_112,Z))),meet(meet(X_112,Z),meet(X_114,join(X_112,Z)))) = join(meet(X_114,Z),meet(meet(X_112,Z),meet(X_114,join(X_112,Z)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_114,meet(Z,join(X_112,Z))),meet(meet(X_112,Z),meet(X_114,join(X_112,Z)))),join(meet(X_114,meet(Z,join(X_112,Z))),meet(meet(X_112,Z),meet(X_114,join(X_112,Z))))) ),[1,0],$fot(meet(X_114,Z))]]) ).
cnf(refute_0_711,plain,
( meet(X_114,meet(Z,join(X_112,Z))) != meet(X_114,Z)
| join(meet(X_114,meet(Z,join(X_112,Z))),meet(meet(X_112,Z),meet(X_114,join(X_112,Z)))) = join(meet(X_114,Z),meet(meet(X_112,Z),meet(X_114,join(X_112,Z)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_114,meet(Z,join(X_112,Z))),meet(meet(X_112,Z),meet(X_114,join(X_112,Z)))),join(meet(X_114,meet(Z,join(X_112,Z))),meet(meet(X_112,Z),meet(X_114,join(X_112,Z))))) )],[refute_0_709,refute_0_710]) ).
cnf(refute_0_712,plain,
join(meet(X_114,meet(Z,join(X_112,Z))),meet(meet(X_112,Z),meet(X_114,join(X_112,Z)))) = join(meet(X_114,Z),meet(meet(X_112,Z),meet(X_114,join(X_112,Z)))),
inference(resolve,[$cnf( $equal(meet(X_114,meet(Z,join(X_112,Z))),meet(X_114,Z)) )],[refute_0_708,refute_0_711]) ).
cnf(refute_0_713,plain,
( join(meet(X_114,Z),meet(meet(X_112,Z),meet(X_114,join(X_112,Z)))) != join(meet(X_114,Z),meet(Z,meet(X_112,X_114)))
| join(meet(X_114,meet(Z,join(X_112,Z))),meet(meet(X_112,Z),meet(X_114,join(X_112,Z)))) != join(meet(X_114,Z),meet(meet(X_112,Z),meet(X_114,join(X_112,Z))))
| join(meet(X_114,meet(Z,join(X_112,Z))),meet(meet(X_112,Z),meet(X_114,join(X_112,Z)))) = join(meet(X_114,Z),meet(Z,meet(X_112,X_114))) ),
inference(subst,[],[refute_0_93:[bind(X0,$fot(join(meet(X_114,meet(Z,join(X_112,Z))),meet(meet(X_112,Z),meet(X_114,join(X_112,Z)))))),bind(Y0,$fot(join(meet(X_114,Z),meet(meet(X_112,Z),meet(X_114,join(X_112,Z)))))),bind(Z0,$fot(join(meet(X_114,Z),meet(Z,meet(X_112,X_114)))))]]) ).
cnf(refute_0_714,plain,
( join(meet(X_114,Z),meet(meet(X_112,Z),meet(X_114,join(X_112,Z)))) != join(meet(X_114,Z),meet(Z,meet(X_112,X_114)))
| join(meet(X_114,meet(Z,join(X_112,Z))),meet(meet(X_112,Z),meet(X_114,join(X_112,Z)))) = join(meet(X_114,Z),meet(Z,meet(X_112,X_114))) ),
inference(resolve,[$cnf( $equal(join(meet(X_114,meet(Z,join(X_112,Z))),meet(meet(X_112,Z),meet(X_114,join(X_112,Z)))),join(meet(X_114,Z),meet(meet(X_112,Z),meet(X_114,join(X_112,Z))))) )],[refute_0_712,refute_0_713]) ).
cnf(refute_0_715,plain,
join(meet(X_114,meet(Z,join(X_112,Z))),meet(meet(X_112,Z),meet(X_114,join(X_112,Z)))) = join(meet(X_114,Z),meet(Z,meet(X_112,X_114))),
inference(resolve,[$cnf( $equal(join(meet(X_114,Z),meet(meet(X_112,Z),meet(X_114,join(X_112,Z)))),join(meet(X_114,Z),meet(Z,meet(X_112,X_114)))) )],[refute_0_703,refute_0_714]) ).
cnf(refute_0_716,plain,
( join(meet(X_114,Z),meet(Z,meet(X_112,X_114))) != meet(X_114,Z)
| join(meet(X_114,meet(Z,join(X_112,Z))),meet(meet(X_112,Z),meet(X_114,join(X_112,Z)))) != join(meet(X_114,Z),meet(Z,meet(X_112,X_114)))
| join(meet(X_114,meet(Z,join(X_112,Z))),meet(meet(X_112,Z),meet(X_114,join(X_112,Z)))) = meet(X_114,Z) ),
inference(subst,[],[refute_0_93:[bind(X0,$fot(join(meet(X_114,meet(Z,join(X_112,Z))),meet(meet(X_112,Z),meet(X_114,join(X_112,Z)))))),bind(Y0,$fot(join(meet(X_114,Z),meet(Z,meet(X_112,X_114))))),bind(Z0,$fot(meet(X_114,Z)))]]) ).
cnf(refute_0_717,plain,
( join(meet(X_114,Z),meet(Z,meet(X_112,X_114))) != meet(X_114,Z)
| join(meet(X_114,meet(Z,join(X_112,Z))),meet(meet(X_112,Z),meet(X_114,join(X_112,Z)))) = meet(X_114,Z) ),
inference(resolve,[$cnf( $equal(join(meet(X_114,meet(Z,join(X_112,Z))),meet(meet(X_112,Z),meet(X_114,join(X_112,Z)))),join(meet(X_114,Z),meet(Z,meet(X_112,X_114)))) )],[refute_0_715,refute_0_716]) ).
cnf(refute_0_718,plain,
join(meet(X_114,meet(Z,join(X_112,Z))),meet(meet(X_112,Z),meet(X_114,join(X_112,Z)))) = meet(X_114,Z),
inference(resolve,[$cnf( $equal(join(meet(X_114,Z),meet(Z,meet(X_112,X_114))),meet(X_114,Z)) )],[refute_0_602,refute_0_717]) ).
cnf(refute_0_719,plain,
join(meet(meet(X_104,X_103),X_70),X_30) = join(X_30,meet(X_70,meet(X_104,X_103))),
inference(subst,[],[refute_0_135:[bind(X_69,$fot(meet(X_104,X_103)))]]) ).
cnf(refute_0_720,plain,
meet(X_70,meet(X_104,X_103)) = meet(X_103,meet(X_104,X_70)),
inference(subst,[],[refute_0_319:[bind(X_51,$fot(X_70)),bind(X_52,$fot(X_103)),bind(X_53,$fot(X_104))]]) ).
cnf(refute_0_721,plain,
( join(meet(meet(X_104,X_103),X_70),X_30) != join(X_30,meet(X_70,meet(X_104,X_103)))
| meet(X_70,meet(X_104,X_103)) != meet(X_103,meet(X_104,X_70))
| join(meet(meet(X_104,X_103),X_70),X_30) = join(X_30,meet(X_103,meet(X_104,X_70))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(X_104,X_103),X_70),X_30),join(X_30,meet(X_70,meet(X_104,X_103)))) ),[1,1],$fot(meet(X_103,meet(X_104,X_70)))]]) ).
cnf(refute_0_722,plain,
( join(meet(meet(X_104,X_103),X_70),X_30) != join(X_30,meet(X_70,meet(X_104,X_103)))
| join(meet(meet(X_104,X_103),X_70),X_30) = join(X_30,meet(X_103,meet(X_104,X_70))) ),
inference(resolve,[$cnf( $equal(meet(X_70,meet(X_104,X_103)),meet(X_103,meet(X_104,X_70))) )],[refute_0_720,refute_0_721]) ).
cnf(refute_0_723,plain,
join(meet(meet(X_104,X_103),X_70),X_30) = join(X_30,meet(X_103,meet(X_104,X_70))),
inference(resolve,[$cnf( $equal(join(meet(meet(X_104,X_103),X_70),X_30),join(X_30,meet(X_70,meet(X_104,X_103)))) )],[refute_0_719,refute_0_722]) ).
cnf(refute_0_724,plain,
meet(meet(X_104,X_103),X_70) = meet(X_104,meet(X_103,X_70)),
inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_104)),bind(Y,$fot(X_103)),bind(Z,$fot(X_70))]]) ).
cnf(refute_0_725,plain,
join(meet(meet(X_104,X_103),X_70),X_30) = join(meet(meet(X_104,X_103),X_70),X_30),
introduced(tautology,[refl,[$fot(join(meet(meet(X_104,X_103),X_70),X_30))]]) ).
cnf(refute_0_726,plain,
( join(meet(meet(X_104,X_103),X_70),X_30) != join(meet(meet(X_104,X_103),X_70),X_30)
| meet(meet(X_104,X_103),X_70) != meet(X_104,meet(X_103,X_70))
| join(meet(meet(X_104,X_103),X_70),X_30) = join(meet(X_104,meet(X_103,X_70)),X_30) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(X_104,X_103),X_70),X_30),join(meet(meet(X_104,X_103),X_70),X_30)) ),[1,0],$fot(meet(X_104,meet(X_103,X_70)))]]) ).
cnf(refute_0_727,plain,
( meet(meet(X_104,X_103),X_70) != meet(X_104,meet(X_103,X_70))
| join(meet(meet(X_104,X_103),X_70),X_30) = join(meet(X_104,meet(X_103,X_70)),X_30) ),
inference(resolve,[$cnf( $equal(join(meet(meet(X_104,X_103),X_70),X_30),join(meet(meet(X_104,X_103),X_70),X_30)) )],[refute_0_725,refute_0_726]) ).
cnf(refute_0_728,plain,
join(meet(meet(X_104,X_103),X_70),X_30) = join(meet(X_104,meet(X_103,X_70)),X_30),
inference(resolve,[$cnf( $equal(meet(meet(X_104,X_103),X_70),meet(X_104,meet(X_103,X_70))) )],[refute_0_724,refute_0_727]) ).
cnf(refute_0_729,plain,
( join(meet(meet(X_104,X_103),X_70),X_30) != join(X_30,meet(X_103,meet(X_104,X_70)))
| join(meet(meet(X_104,X_103),X_70),X_30) != join(meet(X_104,meet(X_103,X_70)),X_30)
| join(meet(X_104,meet(X_103,X_70)),X_30) = join(X_30,meet(X_103,meet(X_104,X_70))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(X_104,X_103),X_70),X_30),join(X_30,meet(X_103,meet(X_104,X_70)))) ),[0],$fot(join(meet(X_104,meet(X_103,X_70)),X_30))]]) ).
cnf(refute_0_730,plain,
( join(meet(meet(X_104,X_103),X_70),X_30) != join(X_30,meet(X_103,meet(X_104,X_70)))
| join(meet(X_104,meet(X_103,X_70)),X_30) = join(X_30,meet(X_103,meet(X_104,X_70))) ),
inference(resolve,[$cnf( $equal(join(meet(meet(X_104,X_103),X_70),X_30),join(meet(X_104,meet(X_103,X_70)),X_30)) )],[refute_0_728,refute_0_729]) ).
cnf(refute_0_731,plain,
join(meet(X_104,meet(X_103,X_70)),X_30) = join(X_30,meet(X_103,meet(X_104,X_70))),
inference(resolve,[$cnf( $equal(join(meet(meet(X_104,X_103),X_70),X_30),join(X_30,meet(X_103,meet(X_104,X_70)))) )],[refute_0_723,refute_0_730]) ).
cnf(refute_0_732,plain,
( join(meet(X_104,meet(X_103,X_70)),X_30) != join(X_30,meet(X_103,meet(X_104,X_70)))
| join(X_30,meet(X_103,meet(X_104,X_70))) = join(meet(X_104,meet(X_103,X_70)),X_30) ),
inference(subst,[],[refute_0_16:[bind(X0,$fot(join(meet(X_104,meet(X_103,X_70)),X_30))),bind(Y0,$fot(join(X_30,meet(X_103,meet(X_104,X_70)))))]]) ).
cnf(refute_0_733,plain,
join(X_30,meet(X_103,meet(X_104,X_70))) = join(meet(X_104,meet(X_103,X_70)),X_30),
inference(resolve,[$cnf( $equal(join(meet(X_104,meet(X_103,X_70)),X_30),join(X_30,meet(X_103,meet(X_104,X_70)))) )],[refute_0_731,refute_0_732]) ).
cnf(refute_0_734,plain,
join(meet(meet(X_112,Z),meet(X_114,join(X_112,Z))),meet(Z,meet(X_114,join(X_112,Z)))) = join(meet(X_114,meet(Z,join(X_112,Z))),meet(meet(X_112,Z),meet(X_114,join(X_112,Z)))),
inference(subst,[],[refute_0_733:[bind(X_103,$fot(Z)),bind(X_104,$fot(X_114)),bind(X_30,$fot(meet(meet(X_112,Z),meet(X_114,join(X_112,Z))))),bind(X_70,$fot(join(X_112,Z)))]]) ).
cnf(refute_0_735,plain,
join(X_109,join(meet(X_18,Y),meet(Y,X_18))) = join(meet(Y,X_18),join(meet(X_18,Y),X_109)),
inference(subst,[],[refute_0_160:[bind(X_57,$fot(X_109)),bind(X_58,$fot(meet(Y,X_18))),bind(X_59,$fot(meet(X_18,Y)))]]) ).
cnf(refute_0_736,plain,
( join(X_109,join(meet(X_18,Y),meet(Y,X_18))) != join(meet(Y,X_18),join(meet(X_18,Y),X_109))
| join(meet(X_18,Y),meet(Y,X_18)) != meet(X_18,Y)
| join(X_109,meet(X_18,Y)) = join(meet(Y,X_18),join(meet(X_18,Y),X_109)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_109,join(meet(X_18,Y),meet(Y,X_18))),join(meet(Y,X_18),join(meet(X_18,Y),X_109))) ),[0,1],$fot(meet(X_18,Y))]]) ).
cnf(refute_0_737,plain,
( join(X_109,join(meet(X_18,Y),meet(Y,X_18))) != join(meet(Y,X_18),join(meet(X_18,Y),X_109))
| join(X_109,meet(X_18,Y)) = join(meet(Y,X_18),join(meet(X_18,Y),X_109)) ),
inference(resolve,[$cnf( $equal(join(meet(X_18,Y),meet(Y,X_18)),meet(X_18,Y)) )],[refute_0_30,refute_0_736]) ).
cnf(refute_0_738,plain,
join(X_109,meet(X_18,Y)) = join(meet(Y,X_18),join(meet(X_18,Y),X_109)),
inference(resolve,[$cnf( $equal(join(X_109,join(meet(X_18,Y),meet(Y,X_18))),join(meet(Y,X_18),join(meet(X_18,Y),X_109))) )],[refute_0_735,refute_0_737]) ).
cnf(refute_0_739,plain,
( join(X,meet(X_70,X_69)) != join(meet(X_70,X_69),join(meet(X_69,X_70),X))
| join(meet(X_70,X_69),join(meet(X_69,X_70),X)) = join(X,meet(X_70,X_69)) ),
inference(subst,[],[refute_0_16:[bind(X0,$fot(join(X,meet(X_70,X_69)))),bind(Y0,$fot(join(meet(X_70,X_69),join(meet(X_69,X_70),X))))]]) ).
cnf(refute_0_740,plain,
join(meet(X_70,X_69),join(meet(X_69,X_70),X)) = join(X,meet(X_70,X_69)),
inference(resolve,[$cnf( $equal(join(X,meet(X_70,X_69)),join(meet(X_70,X_69),join(meet(X_69,X_70),X))) )],[refute_0_311,refute_0_739]) ).
cnf(refute_0_741,plain,
join(meet(Y,X_18),join(meet(X_18,Y),X_109)) = join(X_109,meet(Y,X_18)),
inference(subst,[],[refute_0_740:[bind(X,$fot(X_109)),bind(X_69,$fot(X_18)),bind(X_70,$fot(Y))]]) ).
cnf(refute_0_742,plain,
( join(X_109,meet(X_18,Y)) != join(meet(Y,X_18),join(meet(X_18,Y),X_109))
| join(meet(Y,X_18),join(meet(X_18,Y),X_109)) != join(X_109,meet(Y,X_18))
| join(X_109,meet(X_18,Y)) = join(X_109,meet(Y,X_18)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_109,meet(X_18,Y)),join(X_109,meet(Y,X_18))) ),[0],$fot(join(meet(Y,X_18),join(meet(X_18,Y),X_109)))]]) ).
cnf(refute_0_743,plain,
( join(X_109,meet(X_18,Y)) != join(meet(Y,X_18),join(meet(X_18,Y),X_109))
| join(X_109,meet(X_18,Y)) = join(X_109,meet(Y,X_18)) ),
inference(resolve,[$cnf( $equal(join(meet(Y,X_18),join(meet(X_18,Y),X_109)),join(X_109,meet(Y,X_18))) )],[refute_0_741,refute_0_742]) ).
cnf(refute_0_744,plain,
join(X_109,meet(X_18,Y)) = join(X_109,meet(Y,X_18)),
inference(resolve,[$cnf( $equal(join(X_109,meet(X_18,Y)),join(meet(Y,X_18),join(meet(X_18,Y),X_109))) )],[refute_0_738,refute_0_743]) ).
cnf(refute_0_745,plain,
( join(X_109,meet(X_18,Y)) != join(X_109,meet(Y,X_18))
| join(X_109,meet(Y,X_18)) = join(X_109,meet(X_18,Y)) ),
inference(subst,[],[refute_0_16:[bind(X0,$fot(join(X_109,meet(X_18,Y)))),bind(Y0,$fot(join(X_109,meet(Y,X_18))))]]) ).
cnf(refute_0_746,plain,
join(X_109,meet(Y,X_18)) = join(X_109,meet(X_18,Y)),
inference(resolve,[$cnf( $equal(join(X_109,meet(X_18,Y)),join(X_109,meet(Y,X_18))) )],[refute_0_744,refute_0_745]) ).
cnf(refute_0_747,plain,
join(meet(meet(X_112,Z),meet(X_114,join(X_112,Z))),meet(meet(X_114,join(X_112,Z)),Z)) = join(meet(meet(X_112,Z),meet(X_114,join(X_112,Z))),meet(Z,meet(X_114,join(X_112,Z)))),
inference(subst,[],[refute_0_746:[bind(Y,$fot(meet(X_114,join(X_112,Z)))),bind(X_109,$fot(meet(meet(X_112,Z),meet(X_114,join(X_112,Z))))),bind(X_18,$fot(Z))]]) ).
cnf(refute_0_748,plain,
( join(meet(meet(X_112,Z),meet(X_114,join(X_112,Z))),meet(Z,meet(X_114,join(X_112,Z)))) != join(meet(X_114,meet(Z,join(X_112,Z))),meet(meet(X_112,Z),meet(X_114,join(X_112,Z))))
| join(meet(meet(X_112,Z),meet(X_114,join(X_112,Z))),meet(meet(X_114,join(X_112,Z)),Z)) != join(meet(meet(X_112,Z),meet(X_114,join(X_112,Z))),meet(Z,meet(X_114,join(X_112,Z))))
| join(meet(meet(X_112,Z),meet(X_114,join(X_112,Z))),meet(meet(X_114,join(X_112,Z)),Z)) = join(meet(X_114,meet(Z,join(X_112,Z))),meet(meet(X_112,Z),meet(X_114,join(X_112,Z)))) ),
inference(subst,[],[refute_0_93:[bind(X0,$fot(join(meet(meet(X_112,Z),meet(X_114,join(X_112,Z))),meet(meet(X_114,join(X_112,Z)),Z)))),bind(Y0,$fot(join(meet(meet(X_112,Z),meet(X_114,join(X_112,Z))),meet(Z,meet(X_114,join(X_112,Z)))))),bind(Z0,$fot(join(meet(X_114,meet(Z,join(X_112,Z))),meet(meet(X_112,Z),meet(X_114,join(X_112,Z))))))]]) ).
cnf(refute_0_749,plain,
( join(meet(meet(X_112,Z),meet(X_114,join(X_112,Z))),meet(Z,meet(X_114,join(X_112,Z)))) != join(meet(X_114,meet(Z,join(X_112,Z))),meet(meet(X_112,Z),meet(X_114,join(X_112,Z))))
| join(meet(meet(X_112,Z),meet(X_114,join(X_112,Z))),meet(meet(X_114,join(X_112,Z)),Z)) = join(meet(X_114,meet(Z,join(X_112,Z))),meet(meet(X_112,Z),meet(X_114,join(X_112,Z)))) ),
inference(resolve,[$cnf( $equal(join(meet(meet(X_112,Z),meet(X_114,join(X_112,Z))),meet(meet(X_114,join(X_112,Z)),Z)),join(meet(meet(X_112,Z),meet(X_114,join(X_112,Z))),meet(Z,meet(X_114,join(X_112,Z))))) )],[refute_0_747,refute_0_748]) ).
cnf(refute_0_750,plain,
join(meet(meet(X_112,Z),meet(X_114,join(X_112,Z))),meet(meet(X_114,join(X_112,Z)),Z)) = join(meet(X_114,meet(Z,join(X_112,Z))),meet(meet(X_112,Z),meet(X_114,join(X_112,Z)))),
inference(resolve,[$cnf( $equal(join(meet(meet(X_112,Z),meet(X_114,join(X_112,Z))),meet(Z,meet(X_114,join(X_112,Z)))),join(meet(X_114,meet(Z,join(X_112,Z))),meet(meet(X_112,Z),meet(X_114,join(X_112,Z))))) )],[refute_0_734,refute_0_749]) ).
cnf(refute_0_751,plain,
( join(meet(X_114,meet(Z,join(X_112,Z))),meet(meet(X_112,Z),meet(X_114,join(X_112,Z)))) != meet(X_114,Z)
| join(meet(meet(X_112,Z),meet(X_114,join(X_112,Z))),meet(meet(X_114,join(X_112,Z)),Z)) != join(meet(X_114,meet(Z,join(X_112,Z))),meet(meet(X_112,Z),meet(X_114,join(X_112,Z))))
| join(meet(meet(X_112,Z),meet(X_114,join(X_112,Z))),meet(meet(X_114,join(X_112,Z)),Z)) = meet(X_114,Z) ),
inference(subst,[],[refute_0_93:[bind(X0,$fot(join(meet(meet(X_112,Z),meet(X_114,join(X_112,Z))),meet(meet(X_114,join(X_112,Z)),Z)))),bind(Y0,$fot(join(meet(X_114,meet(Z,join(X_112,Z))),meet(meet(X_112,Z),meet(X_114,join(X_112,Z)))))),bind(Z0,$fot(meet(X_114,Z)))]]) ).
cnf(refute_0_752,plain,
( join(meet(X_114,meet(Z,join(X_112,Z))),meet(meet(X_112,Z),meet(X_114,join(X_112,Z)))) != meet(X_114,Z)
| join(meet(meet(X_112,Z),meet(X_114,join(X_112,Z))),meet(meet(X_114,join(X_112,Z)),Z)) = meet(X_114,Z) ),
inference(resolve,[$cnf( $equal(join(meet(meet(X_112,Z),meet(X_114,join(X_112,Z))),meet(meet(X_114,join(X_112,Z)),Z)),join(meet(X_114,meet(Z,join(X_112,Z))),meet(meet(X_112,Z),meet(X_114,join(X_112,Z))))) )],[refute_0_750,refute_0_751]) ).
cnf(refute_0_753,plain,
join(meet(meet(X_112,Z),meet(X_114,join(X_112,Z))),meet(meet(X_114,join(X_112,Z)),Z)) = meet(X_114,Z),
inference(resolve,[$cnf( $equal(join(meet(X_114,meet(Z,join(X_112,Z))),meet(meet(X_112,Z),meet(X_114,join(X_112,Z)))),meet(X_114,Z)) )],[refute_0_718,refute_0_752]) ).
cnf(refute_0_754,plain,
( join(meet(meet(X_112,Z),meet(X_114,join(X_112,Z))),meet(meet(X_114,join(X_112,Z)),Z)) != meet(X_114,Z)
| join(meet(meet(X_112,Z),meet(X_114,join(X_112,Z))),meet(meet(X_114,join(X_112,Z)),Z)) != meet(meet(X_114,join(X_112,Z)),join(meet(meet(X_112,Z),meet(X_114,join(X_112,Z))),join(meet(X_112,Z),meet(Z,X_114))))
| meet(X_114,Z) = meet(meet(X_114,join(X_112,Z)),join(meet(meet(X_112,Z),meet(X_114,join(X_112,Z))),join(meet(X_112,Z),meet(Z,X_114)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(X_112,Z),meet(X_114,join(X_112,Z))),meet(meet(X_114,join(X_112,Z)),Z)),meet(meet(X_114,join(X_112,Z)),join(meet(meet(X_112,Z),meet(X_114,join(X_112,Z))),join(meet(X_112,Z),meet(Z,X_114))))) ),[0],$fot(meet(X_114,Z))]]) ).
cnf(refute_0_755,plain,
( join(meet(meet(X_112,Z),meet(X_114,join(X_112,Z))),meet(meet(X_114,join(X_112,Z)),Z)) != meet(meet(X_114,join(X_112,Z)),join(meet(meet(X_112,Z),meet(X_114,join(X_112,Z))),join(meet(X_112,Z),meet(Z,X_114))))
| meet(X_114,Z) = meet(meet(X_114,join(X_112,Z)),join(meet(meet(X_112,Z),meet(X_114,join(X_112,Z))),join(meet(X_112,Z),meet(Z,X_114)))) ),
inference(resolve,[$cnf( $equal(join(meet(meet(X_112,Z),meet(X_114,join(X_112,Z))),meet(meet(X_114,join(X_112,Z)),Z)),meet(X_114,Z)) )],[refute_0_753,refute_0_754]) ).
cnf(refute_0_756,plain,
join(meet(X_59,Y),join(X_58,X_59)) = join(X_58,join(X_59,meet(X_59,Y))),
inference(subst,[],[refute_0_126:[bind(X,$fot(meet(X_59,Y))),bind(X_30,$fot(X_58)),bind(X_31,$fot(X_59))]]) ).
cnf(refute_0_757,plain,
join(X_59,meet(X_59,Y)) = X_59,
inference(subst,[],[absorption2:[bind(X,$fot(X_59))]]) ).
cnf(refute_0_758,plain,
( join(X_59,meet(X_59,Y)) != X_59
| join(meet(X_59,Y),join(X_58,X_59)) != join(X_58,join(X_59,meet(X_59,Y)))
| join(meet(X_59,Y),join(X_58,X_59)) = join(X_58,X_59) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_59,Y),join(X_58,X_59)),join(X_58,join(X_59,meet(X_59,Y)))) ),[1,1],$fot(X_59)]]) ).
cnf(refute_0_759,plain,
( join(meet(X_59,Y),join(X_58,X_59)) != join(X_58,join(X_59,meet(X_59,Y)))
| join(meet(X_59,Y),join(X_58,X_59)) = join(X_58,X_59) ),
inference(resolve,[$cnf( $equal(join(X_59,meet(X_59,Y)),X_59) )],[refute_0_757,refute_0_758]) ).
cnf(refute_0_760,plain,
join(meet(X_59,Y),join(X_58,X_59)) = join(X_58,X_59),
inference(resolve,[$cnf( $equal(join(meet(X_59,Y),join(X_58,X_59)),join(X_58,join(X_59,meet(X_59,Y)))) )],[refute_0_756,refute_0_759]) ).
cnf(refute_0_761,plain,
( join(X_57,join(X_59,X_58)) != join(X_58,join(X_59,X_57))
| join(X_58,join(X_59,X_57)) = join(X_57,join(X_59,X_58)) ),
inference(subst,[],[refute_0_16:[bind(X0,$fot(join(X_57,join(X_59,X_58)))),bind(Y0,$fot(join(X_58,join(X_59,X_57))))]]) ).
cnf(refute_0_762,plain,
join(X_58,join(X_59,X_57)) = join(X_57,join(X_59,X_58)),
inference(resolve,[$cnf( $equal(join(X_57,join(X_59,X_58)),join(X_58,join(X_59,X_57))) )],[refute_0_160,refute_0_761]) ).
cnf(refute_0_763,plain,
join(meet(X_59,Y),join(X_58,X_59)) = join(X_59,join(X_58,meet(X_59,Y))),
inference(subst,[],[refute_0_762:[bind(X_57,$fot(X_59)),bind(X_58,$fot(meet(X_59,Y))),bind(X_59,$fot(X_58))]]) ).
cnf(refute_0_764,plain,
( join(meet(X_59,Y),join(X_58,X_59)) != join(X_58,X_59)
| join(meet(X_59,Y),join(X_58,X_59)) != join(X_59,join(X_58,meet(X_59,Y)))
| join(X_59,join(X_58,meet(X_59,Y))) = join(X_58,X_59) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_59,Y),join(X_58,X_59)),join(X_58,X_59)) ),[0],$fot(join(X_59,join(X_58,meet(X_59,Y))))]]) ).
cnf(refute_0_765,plain,
( join(meet(X_59,Y),join(X_58,X_59)) != join(X_58,X_59)
| join(X_59,join(X_58,meet(X_59,Y))) = join(X_58,X_59) ),
inference(resolve,[$cnf( $equal(join(meet(X_59,Y),join(X_58,X_59)),join(X_59,join(X_58,meet(X_59,Y)))) )],[refute_0_763,refute_0_764]) ).
cnf(refute_0_766,plain,
join(X_59,join(X_58,meet(X_59,Y))) = join(X_58,X_59),
inference(resolve,[$cnf( $equal(join(meet(X_59,Y),join(X_58,X_59)),join(X_58,X_59)) )],[refute_0_760,refute_0_765]) ).
cnf(refute_0_767,plain,
join(meet(X_112,Z),join(meet(Z,X_114),meet(meet(X_112,Z),meet(X_114,join(X_112,Z))))) = join(meet(Z,X_114),meet(X_112,Z)),
inference(subst,[],[refute_0_766:[bind(Y,$fot(meet(X_114,join(X_112,Z)))),bind(X_58,$fot(meet(Z,X_114))),bind(X_59,$fot(meet(X_112,Z)))]]) ).
cnf(refute_0_768,plain,
join(join(meet(X_112,Z),meet(Z,X_114)),meet(meet(X_112,Z),meet(X_114,join(X_112,Z)))) = join(meet(X_112,Z),join(meet(Z,X_114),meet(meet(X_112,Z),meet(X_114,join(X_112,Z))))),
inference(subst,[],[associativity_of_join:[bind(X,$fot(meet(X_112,Z))),bind(Y,$fot(meet(Z,X_114))),bind(Z,$fot(meet(meet(X_112,Z),meet(X_114,join(X_112,Z)))))]]) ).
cnf(refute_0_769,plain,
( join(join(meet(X_112,Z),meet(Z,X_114)),meet(meet(X_112,Z),meet(X_114,join(X_112,Z)))) != join(meet(X_112,Z),join(meet(Z,X_114),meet(meet(X_112,Z),meet(X_114,join(X_112,Z)))))
| join(meet(X_112,Z),join(meet(Z,X_114),meet(meet(X_112,Z),meet(X_114,join(X_112,Z))))) != join(meet(Z,X_114),meet(X_112,Z))
| join(join(meet(X_112,Z),meet(Z,X_114)),meet(meet(X_112,Z),meet(X_114,join(X_112,Z)))) = join(meet(Z,X_114),meet(X_112,Z)) ),
inference(subst,[],[refute_0_93:[bind(X0,$fot(join(join(meet(X_112,Z),meet(Z,X_114)),meet(meet(X_112,Z),meet(X_114,join(X_112,Z)))))),bind(Y0,$fot(join(meet(X_112,Z),join(meet(Z,X_114),meet(meet(X_112,Z),meet(X_114,join(X_112,Z))))))),bind(Z0,$fot(join(meet(Z,X_114),meet(X_112,Z))))]]) ).
cnf(refute_0_770,plain,
( join(meet(X_112,Z),join(meet(Z,X_114),meet(meet(X_112,Z),meet(X_114,join(X_112,Z))))) != join(meet(Z,X_114),meet(X_112,Z))
| join(join(meet(X_112,Z),meet(Z,X_114)),meet(meet(X_112,Z),meet(X_114,join(X_112,Z)))) = join(meet(Z,X_114),meet(X_112,Z)) ),
inference(resolve,[$cnf( $equal(join(join(meet(X_112,Z),meet(Z,X_114)),meet(meet(X_112,Z),meet(X_114,join(X_112,Z)))),join(meet(X_112,Z),join(meet(Z,X_114),meet(meet(X_112,Z),meet(X_114,join(X_112,Z)))))) )],[refute_0_768,refute_0_769]) ).
cnf(refute_0_771,plain,
join(join(meet(X_112,Z),meet(Z,X_114)),meet(meet(X_112,Z),meet(X_114,join(X_112,Z)))) = join(meet(Z,X_114),meet(X_112,Z)),
inference(resolve,[$cnf( $equal(join(meet(X_112,Z),join(meet(Z,X_114),meet(meet(X_112,Z),meet(X_114,join(X_112,Z))))),join(meet(Z,X_114),meet(X_112,Z))) )],[refute_0_767,refute_0_770]) ).
cnf(refute_0_772,plain,
meet(join(X_112,Z),join(join(meet(X_112,Z),meet(Z,X_114)),meet(meet(X_112,Z),meet(X_114,join(X_112,Z))))) = meet(join(X_112,Z),join(join(meet(X_112,Z),meet(Z,X_114)),meet(meet(X_112,Z),meet(X_114,join(X_112,Z))))),
introduced(tautology,[refl,[$fot(meet(join(X_112,Z),join(join(meet(X_112,Z),meet(Z,X_114)),meet(meet(X_112,Z),meet(X_114,join(X_112,Z))))))]]) ).
cnf(refute_0_773,plain,
( join(join(meet(X_112,Z),meet(Z,X_114)),meet(meet(X_112,Z),meet(X_114,join(X_112,Z)))) != join(meet(Z,X_114),meet(X_112,Z))
| meet(join(X_112,Z),join(join(meet(X_112,Z),meet(Z,X_114)),meet(meet(X_112,Z),meet(X_114,join(X_112,Z))))) != meet(join(X_112,Z),join(join(meet(X_112,Z),meet(Z,X_114)),meet(meet(X_112,Z),meet(X_114,join(X_112,Z)))))
| meet(join(X_112,Z),join(join(meet(X_112,Z),meet(Z,X_114)),meet(meet(X_112,Z),meet(X_114,join(X_112,Z))))) = meet(join(X_112,Z),join(meet(Z,X_114),meet(X_112,Z))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_112,Z),join(join(meet(X_112,Z),meet(Z,X_114)),meet(meet(X_112,Z),meet(X_114,join(X_112,Z))))),meet(join(X_112,Z),join(join(meet(X_112,Z),meet(Z,X_114)),meet(meet(X_112,Z),meet(X_114,join(X_112,Z)))))) ),[1,1],$fot(join(meet(Z,X_114),meet(X_112,Z)))]]) ).
cnf(refute_0_774,plain,
( join(join(meet(X_112,Z),meet(Z,X_114)),meet(meet(X_112,Z),meet(X_114,join(X_112,Z)))) != join(meet(Z,X_114),meet(X_112,Z))
| meet(join(X_112,Z),join(join(meet(X_112,Z),meet(Z,X_114)),meet(meet(X_112,Z),meet(X_114,join(X_112,Z))))) = meet(join(X_112,Z),join(meet(Z,X_114),meet(X_112,Z))) ),
inference(resolve,[$cnf( $equal(meet(join(X_112,Z),join(join(meet(X_112,Z),meet(Z,X_114)),meet(meet(X_112,Z),meet(X_114,join(X_112,Z))))),meet(join(X_112,Z),join(join(meet(X_112,Z),meet(Z,X_114)),meet(meet(X_112,Z),meet(X_114,join(X_112,Z)))))) )],[refute_0_772,refute_0_773]) ).
cnf(refute_0_775,plain,
meet(join(X_112,Z),join(join(meet(X_112,Z),meet(Z,X_114)),meet(meet(X_112,Z),meet(X_114,join(X_112,Z))))) = meet(join(X_112,Z),join(meet(Z,X_114),meet(X_112,Z))),
inference(resolve,[$cnf( $equal(join(join(meet(X_112,Z),meet(Z,X_114)),meet(meet(X_112,Z),meet(X_114,join(X_112,Z)))),join(meet(Z,X_114),meet(X_112,Z))) )],[refute_0_771,refute_0_774]) ).
cnf(refute_0_776,plain,
meet(X_114,meet(join(X_112,Z),join(join(meet(X_112,Z),meet(Z,X_114)),meet(meet(X_112,Z),meet(X_114,join(X_112,Z)))))) = meet(X_114,meet(join(X_112,Z),join(join(meet(X_112,Z),meet(Z,X_114)),meet(meet(X_112,Z),meet(X_114,join(X_112,Z)))))),
introduced(tautology,[refl,[$fot(meet(X_114,meet(join(X_112,Z),join(join(meet(X_112,Z),meet(Z,X_114)),meet(meet(X_112,Z),meet(X_114,join(X_112,Z)))))))]]) ).
cnf(refute_0_777,plain,
( meet(X_114,meet(join(X_112,Z),join(join(meet(X_112,Z),meet(Z,X_114)),meet(meet(X_112,Z),meet(X_114,join(X_112,Z)))))) != meet(X_114,meet(join(X_112,Z),join(join(meet(X_112,Z),meet(Z,X_114)),meet(meet(X_112,Z),meet(X_114,join(X_112,Z))))))
| meet(join(X_112,Z),join(join(meet(X_112,Z),meet(Z,X_114)),meet(meet(X_112,Z),meet(X_114,join(X_112,Z))))) != meet(join(X_112,Z),join(meet(Z,X_114),meet(X_112,Z)))
| meet(X_114,meet(join(X_112,Z),join(join(meet(X_112,Z),meet(Z,X_114)),meet(meet(X_112,Z),meet(X_114,join(X_112,Z)))))) = meet(X_114,meet(join(X_112,Z),join(meet(Z,X_114),meet(X_112,Z)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_114,meet(join(X_112,Z),join(join(meet(X_112,Z),meet(Z,X_114)),meet(meet(X_112,Z),meet(X_114,join(X_112,Z)))))),meet(X_114,meet(join(X_112,Z),join(join(meet(X_112,Z),meet(Z,X_114)),meet(meet(X_112,Z),meet(X_114,join(X_112,Z))))))) ),[1,1],$fot(meet(join(X_112,Z),join(meet(Z,X_114),meet(X_112,Z))))]]) ).
cnf(refute_0_778,plain,
( meet(join(X_112,Z),join(join(meet(X_112,Z),meet(Z,X_114)),meet(meet(X_112,Z),meet(X_114,join(X_112,Z))))) != meet(join(X_112,Z),join(meet(Z,X_114),meet(X_112,Z)))
| meet(X_114,meet(join(X_112,Z),join(join(meet(X_112,Z),meet(Z,X_114)),meet(meet(X_112,Z),meet(X_114,join(X_112,Z)))))) = meet(X_114,meet(join(X_112,Z),join(meet(Z,X_114),meet(X_112,Z)))) ),
inference(resolve,[$cnf( $equal(meet(X_114,meet(join(X_112,Z),join(join(meet(X_112,Z),meet(Z,X_114)),meet(meet(X_112,Z),meet(X_114,join(X_112,Z)))))),meet(X_114,meet(join(X_112,Z),join(join(meet(X_112,Z),meet(Z,X_114)),meet(meet(X_112,Z),meet(X_114,join(X_112,Z))))))) )],[refute_0_776,refute_0_777]) ).
cnf(refute_0_779,plain,
meet(X_114,meet(join(X_112,Z),join(join(meet(X_112,Z),meet(Z,X_114)),meet(meet(X_112,Z),meet(X_114,join(X_112,Z)))))) = meet(X_114,meet(join(X_112,Z),join(meet(Z,X_114),meet(X_112,Z)))),
inference(resolve,[$cnf( $equal(meet(join(X_112,Z),join(join(meet(X_112,Z),meet(Z,X_114)),meet(meet(X_112,Z),meet(X_114,join(X_112,Z))))),meet(join(X_112,Z),join(meet(Z,X_114),meet(X_112,Z)))) )],[refute_0_775,refute_0_778]) ).
cnf(refute_0_780,plain,
meet(meet(X_114,join(X_112,Z)),join(join(meet(X_112,Z),meet(Z,X_114)),meet(meet(X_112,Z),meet(X_114,join(X_112,Z))))) = meet(X_114,meet(join(X_112,Z),join(join(meet(X_112,Z),meet(Z,X_114)),meet(meet(X_112,Z),meet(X_114,join(X_112,Z)))))),
inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_114)),bind(Y,$fot(join(X_112,Z))),bind(Z,$fot(join(join(meet(X_112,Z),meet(Z,X_114)),meet(meet(X_112,Z),meet(X_114,join(X_112,Z))))))]]) ).
cnf(refute_0_781,plain,
meet(X_19,meet(X_19,join(X_85,X_84))) = meet(X_19,join(X_85,X_84)),
inference(subst,[],[refute_0_21:[bind(X_18,$fot(join(X_85,X_84)))]]) ).
cnf(refute_0_782,plain,
meet(X_19,join(X_85,X_84)) = meet(join(X_84,X_85),X_19),
inference(subst,[],[refute_0_238:[bind(Y,$fot(X_19)),bind(X_81,$fot(X_84)),bind(X_82,$fot(X_85))]]) ).
cnf(refute_0_783,plain,
( meet(X_19,join(X_85,X_84)) != meet(join(X_84,X_85),X_19)
| meet(X_19,meet(X_19,join(X_85,X_84))) != meet(X_19,join(X_85,X_84))
| meet(X_19,meet(join(X_84,X_85),X_19)) = meet(X_19,join(X_85,X_84)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_19,meet(X_19,join(X_85,X_84))),meet(X_19,join(X_85,X_84))) ),[0,1],$fot(meet(join(X_84,X_85),X_19))]]) ).
cnf(refute_0_784,plain,
( meet(X_19,meet(X_19,join(X_85,X_84))) != meet(X_19,join(X_85,X_84))
| meet(X_19,meet(join(X_84,X_85),X_19)) = meet(X_19,join(X_85,X_84)) ),
inference(resolve,[$cnf( $equal(meet(X_19,join(X_85,X_84)),meet(join(X_84,X_85),X_19)) )],[refute_0_782,refute_0_783]) ).
cnf(refute_0_785,plain,
meet(X_19,meet(join(X_84,X_85),X_19)) = meet(X_19,join(X_85,X_84)),
inference(resolve,[$cnf( $equal(meet(X_19,meet(X_19,join(X_85,X_84))),meet(X_19,join(X_85,X_84))) )],[refute_0_781,refute_0_784]) ).
cnf(refute_0_786,plain,
meet(X_19,meet(join(X_84,X_85),X_19)) = meet(X_19,join(X_84,X_85)),
inference(subst,[],[refute_0_11:[bind(Y,$fot(join(X_84,X_85))),bind(X_15,$fot(X_19))]]) ).
cnf(refute_0_787,plain,
( meet(X_19,meet(join(X_84,X_85),X_19)) != meet(X_19,join(X_84,X_85))
| meet(X_19,meet(join(X_84,X_85),X_19)) != meet(X_19,join(X_85,X_84))
| meet(X_19,join(X_84,X_85)) = meet(X_19,join(X_85,X_84)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_19,meet(join(X_84,X_85),X_19)),meet(X_19,join(X_85,X_84))) ),[0],$fot(meet(X_19,join(X_84,X_85)))]]) ).
cnf(refute_0_788,plain,
( meet(X_19,meet(join(X_84,X_85),X_19)) != meet(X_19,join(X_85,X_84))
| meet(X_19,join(X_84,X_85)) = meet(X_19,join(X_85,X_84)) ),
inference(resolve,[$cnf( $equal(meet(X_19,meet(join(X_84,X_85),X_19)),meet(X_19,join(X_84,X_85))) )],[refute_0_786,refute_0_787]) ).
cnf(refute_0_789,plain,
meet(X_19,join(X_84,X_85)) = meet(X_19,join(X_85,X_84)),
inference(resolve,[$cnf( $equal(meet(X_19,meet(join(X_84,X_85),X_19)),meet(X_19,join(X_85,X_84))) )],[refute_0_785,refute_0_788]) ).
cnf(refute_0_790,plain,
( meet(X_19,join(X_84,X_85)) != meet(X_19,join(X_85,X_84))
| meet(X_19,join(X_85,X_84)) = meet(X_19,join(X_84,X_85)) ),
inference(subst,[],[refute_0_16:[bind(X0,$fot(meet(X_19,join(X_84,X_85)))),bind(Y0,$fot(meet(X_19,join(X_85,X_84))))]]) ).
cnf(refute_0_791,plain,
meet(X_19,join(X_85,X_84)) = meet(X_19,join(X_84,X_85)),
inference(resolve,[$cnf( $equal(meet(X_19,join(X_84,X_85)),meet(X_19,join(X_85,X_84))) )],[refute_0_789,refute_0_790]) ).
cnf(refute_0_792,plain,
meet(meet(X_114,join(X_112,Z)),join(meet(meet(X_112,Z),meet(X_114,join(X_112,Z))),join(meet(X_112,Z),meet(Z,X_114)))) = meet(meet(X_114,join(X_112,Z)),join(join(meet(X_112,Z),meet(Z,X_114)),meet(meet(X_112,Z),meet(X_114,join(X_112,Z))))),
inference(subst,[],[refute_0_791:[bind(X_19,$fot(meet(X_114,join(X_112,Z)))),bind(X_84,$fot(join(meet(X_112,Z),meet(Z,X_114)))),bind(X_85,$fot(meet(meet(X_112,Z),meet(X_114,join(X_112,Z)))))]]) ).
cnf(refute_0_793,plain,
( meet(meet(X_114,join(X_112,Z)),join(join(meet(X_112,Z),meet(Z,X_114)),meet(meet(X_112,Z),meet(X_114,join(X_112,Z))))) != meet(X_114,meet(join(X_112,Z),join(join(meet(X_112,Z),meet(Z,X_114)),meet(meet(X_112,Z),meet(X_114,join(X_112,Z))))))
| meet(meet(X_114,join(X_112,Z)),join(meet(meet(X_112,Z),meet(X_114,join(X_112,Z))),join(meet(X_112,Z),meet(Z,X_114)))) != meet(meet(X_114,join(X_112,Z)),join(join(meet(X_112,Z),meet(Z,X_114)),meet(meet(X_112,Z),meet(X_114,join(X_112,Z)))))
| meet(meet(X_114,join(X_112,Z)),join(meet(meet(X_112,Z),meet(X_114,join(X_112,Z))),join(meet(X_112,Z),meet(Z,X_114)))) = meet(X_114,meet(join(X_112,Z),join(join(meet(X_112,Z),meet(Z,X_114)),meet(meet(X_112,Z),meet(X_114,join(X_112,Z)))))) ),
inference(subst,[],[refute_0_93:[bind(X0,$fot(meet(meet(X_114,join(X_112,Z)),join(meet(meet(X_112,Z),meet(X_114,join(X_112,Z))),join(meet(X_112,Z),meet(Z,X_114)))))),bind(Y0,$fot(meet(meet(X_114,join(X_112,Z)),join(join(meet(X_112,Z),meet(Z,X_114)),meet(meet(X_112,Z),meet(X_114,join(X_112,Z))))))),bind(Z0,$fot(meet(X_114,meet(join(X_112,Z),join(join(meet(X_112,Z),meet(Z,X_114)),meet(meet(X_112,Z),meet(X_114,join(X_112,Z))))))))]]) ).
cnf(refute_0_794,plain,
( meet(meet(X_114,join(X_112,Z)),join(join(meet(X_112,Z),meet(Z,X_114)),meet(meet(X_112,Z),meet(X_114,join(X_112,Z))))) != meet(X_114,meet(join(X_112,Z),join(join(meet(X_112,Z),meet(Z,X_114)),meet(meet(X_112,Z),meet(X_114,join(X_112,Z))))))
| meet(meet(X_114,join(X_112,Z)),join(meet(meet(X_112,Z),meet(X_114,join(X_112,Z))),join(meet(X_112,Z),meet(Z,X_114)))) = meet(X_114,meet(join(X_112,Z),join(join(meet(X_112,Z),meet(Z,X_114)),meet(meet(X_112,Z),meet(X_114,join(X_112,Z)))))) ),
inference(resolve,[$cnf( $equal(meet(meet(X_114,join(X_112,Z)),join(meet(meet(X_112,Z),meet(X_114,join(X_112,Z))),join(meet(X_112,Z),meet(Z,X_114)))),meet(meet(X_114,join(X_112,Z)),join(join(meet(X_112,Z),meet(Z,X_114)),meet(meet(X_112,Z),meet(X_114,join(X_112,Z)))))) )],[refute_0_792,refute_0_793]) ).
cnf(refute_0_795,plain,
meet(meet(X_114,join(X_112,Z)),join(meet(meet(X_112,Z),meet(X_114,join(X_112,Z))),join(meet(X_112,Z),meet(Z,X_114)))) = meet(X_114,meet(join(X_112,Z),join(join(meet(X_112,Z),meet(Z,X_114)),meet(meet(X_112,Z),meet(X_114,join(X_112,Z)))))),
inference(resolve,[$cnf( $equal(meet(meet(X_114,join(X_112,Z)),join(join(meet(X_112,Z),meet(Z,X_114)),meet(meet(X_112,Z),meet(X_114,join(X_112,Z))))),meet(X_114,meet(join(X_112,Z),join(join(meet(X_112,Z),meet(Z,X_114)),meet(meet(X_112,Z),meet(X_114,join(X_112,Z))))))) )],[refute_0_780,refute_0_794]) ).
cnf(refute_0_796,plain,
( meet(X_114,meet(join(X_112,Z),join(join(meet(X_112,Z),meet(Z,X_114)),meet(meet(X_112,Z),meet(X_114,join(X_112,Z)))))) != meet(X_114,meet(join(X_112,Z),join(meet(Z,X_114),meet(X_112,Z))))
| meet(meet(X_114,join(X_112,Z)),join(meet(meet(X_112,Z),meet(X_114,join(X_112,Z))),join(meet(X_112,Z),meet(Z,X_114)))) != meet(X_114,meet(join(X_112,Z),join(join(meet(X_112,Z),meet(Z,X_114)),meet(meet(X_112,Z),meet(X_114,join(X_112,Z))))))
| meet(meet(X_114,join(X_112,Z)),join(meet(meet(X_112,Z),meet(X_114,join(X_112,Z))),join(meet(X_112,Z),meet(Z,X_114)))) = meet(X_114,meet(join(X_112,Z),join(meet(Z,X_114),meet(X_112,Z)))) ),
inference(subst,[],[refute_0_93:[bind(X0,$fot(meet(meet(X_114,join(X_112,Z)),join(meet(meet(X_112,Z),meet(X_114,join(X_112,Z))),join(meet(X_112,Z),meet(Z,X_114)))))),bind(Y0,$fot(meet(X_114,meet(join(X_112,Z),join(join(meet(X_112,Z),meet(Z,X_114)),meet(meet(X_112,Z),meet(X_114,join(X_112,Z)))))))),bind(Z0,$fot(meet(X_114,meet(join(X_112,Z),join(meet(Z,X_114),meet(X_112,Z))))))]]) ).
cnf(refute_0_797,plain,
( meet(X_114,meet(join(X_112,Z),join(join(meet(X_112,Z),meet(Z,X_114)),meet(meet(X_112,Z),meet(X_114,join(X_112,Z)))))) != meet(X_114,meet(join(X_112,Z),join(meet(Z,X_114),meet(X_112,Z))))
| meet(meet(X_114,join(X_112,Z)),join(meet(meet(X_112,Z),meet(X_114,join(X_112,Z))),join(meet(X_112,Z),meet(Z,X_114)))) = meet(X_114,meet(join(X_112,Z),join(meet(Z,X_114),meet(X_112,Z)))) ),
inference(resolve,[$cnf( $equal(meet(meet(X_114,join(X_112,Z)),join(meet(meet(X_112,Z),meet(X_114,join(X_112,Z))),join(meet(X_112,Z),meet(Z,X_114)))),meet(X_114,meet(join(X_112,Z),join(join(meet(X_112,Z),meet(Z,X_114)),meet(meet(X_112,Z),meet(X_114,join(X_112,Z))))))) )],[refute_0_795,refute_0_796]) ).
cnf(refute_0_798,plain,
meet(meet(X_114,join(X_112,Z)),join(meet(meet(X_112,Z),meet(X_114,join(X_112,Z))),join(meet(X_112,Z),meet(Z,X_114)))) = meet(X_114,meet(join(X_112,Z),join(meet(Z,X_114),meet(X_112,Z)))),
inference(resolve,[$cnf( $equal(meet(X_114,meet(join(X_112,Z),join(join(meet(X_112,Z),meet(Z,X_114)),meet(meet(X_112,Z),meet(X_114,join(X_112,Z)))))),meet(X_114,meet(join(X_112,Z),join(meet(Z,X_114),meet(X_112,Z))))) )],[refute_0_779,refute_0_797]) ).
cnf(refute_0_799,plain,
( meet(X_114,Z) != meet(meet(X_114,join(X_112,Z)),join(meet(meet(X_112,Z),meet(X_114,join(X_112,Z))),join(meet(X_112,Z),meet(Z,X_114))))
| meet(meet(X_114,join(X_112,Z)),join(meet(meet(X_112,Z),meet(X_114,join(X_112,Z))),join(meet(X_112,Z),meet(Z,X_114)))) != meet(X_114,meet(join(X_112,Z),join(meet(Z,X_114),meet(X_112,Z))))
| meet(X_114,Z) = meet(X_114,meet(join(X_112,Z),join(meet(Z,X_114),meet(X_112,Z)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(meet(X_114,Z),meet(X_114,meet(join(X_112,Z),join(meet(Z,X_114),meet(X_112,Z))))) ),[0],$fot(meet(meet(X_114,join(X_112,Z)),join(meet(meet(X_112,Z),meet(X_114,join(X_112,Z))),join(meet(X_112,Z),meet(Z,X_114)))))]]) ).
cnf(refute_0_800,plain,
( meet(X_114,Z) != meet(meet(X_114,join(X_112,Z)),join(meet(meet(X_112,Z),meet(X_114,join(X_112,Z))),join(meet(X_112,Z),meet(Z,X_114))))
| meet(X_114,Z) = meet(X_114,meet(join(X_112,Z),join(meet(Z,X_114),meet(X_112,Z)))) ),
inference(resolve,[$cnf( $equal(meet(meet(X_114,join(X_112,Z)),join(meet(meet(X_112,Z),meet(X_114,join(X_112,Z))),join(meet(X_112,Z),meet(Z,X_114)))),meet(X_114,meet(join(X_112,Z),join(meet(Z,X_114),meet(X_112,Z))))) )],[refute_0_798,refute_0_799]) ).
cnf(refute_0_801,plain,
( join(meet(meet(X_112,Z),meet(X_114,join(X_112,Z))),meet(meet(X_114,join(X_112,Z)),Z)) != meet(meet(X_114,join(X_112,Z)),join(meet(meet(X_112,Z),meet(X_114,join(X_112,Z))),join(meet(X_112,Z),meet(Z,X_114))))
| meet(X_114,Z) = meet(X_114,meet(join(X_112,Z),join(meet(Z,X_114),meet(X_112,Z)))) ),
inference(resolve,[$cnf( $equal(meet(X_114,Z),meet(meet(X_114,join(X_112,Z)),join(meet(meet(X_112,Z),meet(X_114,join(X_112,Z))),join(meet(X_112,Z),meet(Z,X_114))))) )],[refute_0_755,refute_0_800]) ).
cnf(refute_0_802,plain,
meet(X_114,Z) = meet(X_114,meet(join(X_112,Z),join(meet(Z,X_114),meet(X_112,Z)))),
inference(resolve,[$cnf( $equal(join(meet(meet(X_112,Z),meet(X_114,join(X_112,Z))),meet(meet(X_114,join(X_112,Z)),Z)),meet(meet(X_114,join(X_112,Z)),join(meet(meet(X_112,Z),meet(X_114,join(X_112,Z))),join(meet(X_112,Z),meet(Z,X_114))))) )],[refute_0_594,refute_0_801]) ).
cnf(refute_0_803,plain,
meet(X_175,X_173) = meet(X_175,meet(join(X_174,X_173),join(meet(X_173,X_175),meet(X_174,X_173)))),
inference(subst,[],[refute_0_802:[bind(Z,$fot(X_173)),bind(X_112,$fot(X_174)),bind(X_114,$fot(X_175))]]) ).
cnf(refute_0_804,plain,
meet(X_173,X_174) = meet(X_174,X_173),
inference(subst,[],[commutativity_of_meet:[bind(X,$fot(X_173)),bind(Y,$fot(X_174))]]) ).
cnf(refute_0_805,plain,
( meet(X_173,X_174) != meet(X_174,X_173)
| meet(X_174,X_173) = meet(X_173,X_174) ),
inference(subst,[],[refute_0_16:[bind(X0,$fot(meet(X_173,X_174))),bind(Y0,$fot(meet(X_174,X_173)))]]) ).
cnf(refute_0_806,plain,
meet(X_174,X_173) = meet(X_173,X_174),
inference(resolve,[$cnf( $equal(meet(X_173,X_174),meet(X_174,X_173)) )],[refute_0_804,refute_0_805]) ).
cnf(refute_0_807,plain,
( meet(X_174,X_173) != meet(X_173,X_174)
| meet(X_175,X_173) != meet(X_175,meet(join(X_174,X_173),join(meet(X_173,X_175),meet(X_174,X_173))))
| meet(X_175,X_173) = meet(X_175,meet(join(X_174,X_173),join(meet(X_173,X_175),meet(X_173,X_174)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_175,X_173),meet(X_175,meet(join(X_174,X_173),join(meet(X_173,X_175),meet(X_174,X_173))))) ),[1,1,1,1],$fot(meet(X_173,X_174))]]) ).
cnf(refute_0_808,plain,
( meet(X_175,X_173) != meet(X_175,meet(join(X_174,X_173),join(meet(X_173,X_175),meet(X_174,X_173))))
| meet(X_175,X_173) = meet(X_175,meet(join(X_174,X_173),join(meet(X_173,X_175),meet(X_173,X_174)))) ),
inference(resolve,[$cnf( $equal(meet(X_174,X_173),meet(X_173,X_174)) )],[refute_0_806,refute_0_807]) ).
cnf(refute_0_809,plain,
meet(X_175,X_173) = meet(X_175,meet(join(X_174,X_173),join(meet(X_173,X_175),meet(X_173,X_174)))),
inference(resolve,[$cnf( $equal(meet(X_175,X_173),meet(X_175,meet(join(X_174,X_173),join(meet(X_173,X_175),meet(X_174,X_173))))) )],[refute_0_803,refute_0_808]) ).
cnf(refute_0_810,plain,
join(meet(meet(X_210,join(X_209,X_114)),meet(X_114,X_209)),meet(meet(X_210,join(X_209,X_114)),X_114)) = meet(meet(X_210,join(X_209,X_114)),join(meet(meet(X_210,join(X_209,X_114)),meet(X_114,X_209)),meet(X_114,join(meet(X_114,X_209),meet(X_210,join(X_209,X_114)))))),
inference(subst,[],[refute_0_252:[bind(Y,$fot(meet(X_210,join(X_209,X_114)))),bind(X_112,$fot(meet(X_114,X_209)))]]) ).
cnf(refute_0_811,plain,
join(meet(X_114,X_209),meet(X_114,X_210)) = meet(X_114,join(meet(X_114,X_209),meet(X_210,join(X_209,X_114)))),
inference(subst,[],[refute_0_252:[bind(Y,$fot(X_114)),bind(X_112,$fot(X_209)),bind(X_114,$fot(X_210))]]) ).
cnf(refute_0_812,plain,
( join(meet(X_114,X_209),meet(X_114,X_210)) != meet(X_114,join(meet(X_114,X_209),meet(X_210,join(X_209,X_114))))
| meet(X_114,join(meet(X_114,X_209),meet(X_210,join(X_209,X_114)))) = join(meet(X_114,X_209),meet(X_114,X_210)) ),
inference(subst,[],[refute_0_16:[bind(X0,$fot(join(meet(X_114,X_209),meet(X_114,X_210)))),bind(Y0,$fot(meet(X_114,join(meet(X_114,X_209),meet(X_210,join(X_209,X_114))))))]]) ).
cnf(refute_0_813,plain,
meet(X_114,join(meet(X_114,X_209),meet(X_210,join(X_209,X_114)))) = join(meet(X_114,X_209),meet(X_114,X_210)),
inference(resolve,[$cnf( $equal(join(meet(X_114,X_209),meet(X_114,X_210)),meet(X_114,join(meet(X_114,X_209),meet(X_210,join(X_209,X_114))))) )],[refute_0_811,refute_0_812]) ).
cnf(refute_0_814,plain,
( join(meet(meet(X_210,join(X_209,X_114)),meet(X_114,X_209)),meet(meet(X_210,join(X_209,X_114)),X_114)) != meet(meet(X_210,join(X_209,X_114)),join(meet(meet(X_210,join(X_209,X_114)),meet(X_114,X_209)),meet(X_114,join(meet(X_114,X_209),meet(X_210,join(X_209,X_114))))))
| meet(X_114,join(meet(X_114,X_209),meet(X_210,join(X_209,X_114)))) != join(meet(X_114,X_209),meet(X_114,X_210))
| join(meet(meet(X_210,join(X_209,X_114)),meet(X_114,X_209)),meet(meet(X_210,join(X_209,X_114)),X_114)) = meet(meet(X_210,join(X_209,X_114)),join(meet(meet(X_210,join(X_209,X_114)),meet(X_114,X_209)),join(meet(X_114,X_209),meet(X_114,X_210)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(X_210,join(X_209,X_114)),meet(X_114,X_209)),meet(meet(X_210,join(X_209,X_114)),X_114)),meet(meet(X_210,join(X_209,X_114)),join(meet(meet(X_210,join(X_209,X_114)),meet(X_114,X_209)),meet(X_114,join(meet(X_114,X_209),meet(X_210,join(X_209,X_114))))))) ),[1,1,1],$fot(join(meet(X_114,X_209),meet(X_114,X_210)))]]) ).
cnf(refute_0_815,plain,
( join(meet(meet(X_210,join(X_209,X_114)),meet(X_114,X_209)),meet(meet(X_210,join(X_209,X_114)),X_114)) != meet(meet(X_210,join(X_209,X_114)),join(meet(meet(X_210,join(X_209,X_114)),meet(X_114,X_209)),meet(X_114,join(meet(X_114,X_209),meet(X_210,join(X_209,X_114))))))
| join(meet(meet(X_210,join(X_209,X_114)),meet(X_114,X_209)),meet(meet(X_210,join(X_209,X_114)),X_114)) = meet(meet(X_210,join(X_209,X_114)),join(meet(meet(X_210,join(X_209,X_114)),meet(X_114,X_209)),join(meet(X_114,X_209),meet(X_114,X_210)))) ),
inference(resolve,[$cnf( $equal(meet(X_114,join(meet(X_114,X_209),meet(X_210,join(X_209,X_114)))),join(meet(X_114,X_209),meet(X_114,X_210))) )],[refute_0_813,refute_0_814]) ).
cnf(refute_0_816,plain,
join(meet(meet(X_210,join(X_209,X_114)),meet(X_114,X_209)),meet(meet(X_210,join(X_209,X_114)),X_114)) = meet(meet(X_210,join(X_209,X_114)),join(meet(meet(X_210,join(X_209,X_114)),meet(X_114,X_209)),join(meet(X_114,X_209),meet(X_114,X_210)))),
inference(resolve,[$cnf( $equal(join(meet(meet(X_210,join(X_209,X_114)),meet(X_114,X_209)),meet(meet(X_210,join(X_209,X_114)),X_114)),meet(meet(X_210,join(X_209,X_114)),join(meet(meet(X_210,join(X_209,X_114)),meet(X_114,X_209)),meet(X_114,join(meet(X_114,X_209),meet(X_210,join(X_209,X_114))))))) )],[refute_0_810,refute_0_815]) ).
cnf(refute_0_817,plain,
meet(X_114,meet(X_210,join(X_209,X_114))) = meet(X_114,X_210),
inference(subst,[],[refute_0_445:[bind(Y,$fot(X_210)),bind(X_34,$fot(X_209)),bind(X_35,$fot(X_114))]]) ).
cnf(refute_0_818,plain,
join(meet(X_114,meet(X_210,join(X_209,X_114))),meet(X_209,meet(X_114,meet(X_210,join(X_209,X_114))))) = meet(X_114,meet(X_210,join(X_209,X_114))),
inference(subst,[],[refute_0_25:[bind(X,$fot(meet(X_114,meet(X_210,join(X_209,X_114))))),bind(Y,$fot(X_209))]]) ).
cnf(refute_0_819,plain,
( join(meet(X_114,meet(X_210,join(X_209,X_114))),meet(X_209,meet(X_114,meet(X_210,join(X_209,X_114))))) != meet(X_114,meet(X_210,join(X_209,X_114)))
| meet(X_114,meet(X_210,join(X_209,X_114))) != meet(X_114,X_210)
| join(meet(X_114,meet(X_210,join(X_209,X_114))),meet(X_209,meet(X_114,meet(X_210,join(X_209,X_114))))) = meet(X_114,X_210) ),
inference(subst,[],[refute_0_93:[bind(X0,$fot(join(meet(X_114,meet(X_210,join(X_209,X_114))),meet(X_209,meet(X_114,meet(X_210,join(X_209,X_114))))))),bind(Y0,$fot(meet(X_114,meet(X_210,join(X_209,X_114))))),bind(Z0,$fot(meet(X_114,X_210)))]]) ).
cnf(refute_0_820,plain,
( meet(X_114,meet(X_210,join(X_209,X_114))) != meet(X_114,X_210)
| join(meet(X_114,meet(X_210,join(X_209,X_114))),meet(X_209,meet(X_114,meet(X_210,join(X_209,X_114))))) = meet(X_114,X_210) ),
inference(resolve,[$cnf( $equal(join(meet(X_114,meet(X_210,join(X_209,X_114))),meet(X_209,meet(X_114,meet(X_210,join(X_209,X_114))))),meet(X_114,meet(X_210,join(X_209,X_114)))) )],[refute_0_818,refute_0_819]) ).
cnf(refute_0_821,plain,
join(meet(X_114,meet(X_210,join(X_209,X_114))),meet(X_209,meet(X_114,meet(X_210,join(X_209,X_114))))) = meet(X_114,X_210),
inference(resolve,[$cnf( $equal(meet(X_114,meet(X_210,join(X_209,X_114))),meet(X_114,X_210)) )],[refute_0_817,refute_0_820]) ).
cnf(refute_0_822,plain,
join(meet(X_193,X_194),meet(X_70,X_69)) = join(meet(X_70,X_69),join(meet(X_69,X_70),meet(X_193,X_194))),
inference(subst,[],[refute_0_311:[bind(X,$fot(meet(X_193,X_194)))]]) ).
cnf(refute_0_823,plain,
join(join(X_34,join(X_35,Y)),meet(Y,join(X_34,join(X_35,Y)))) = join(X_34,join(X_35,Y)),
inference(subst,[],[refute_0_25:[bind(X,$fot(join(X_34,join(X_35,Y))))]]) ).
cnf(refute_0_824,plain,
meet(Y,join(X_34,join(X_35,Y))) = Y,
inference(subst,[],[refute_0_436:[bind(X,$fot(Y)),bind(X_30,$fot(X_34)),bind(X_31,$fot(X_35))]]) ).
cnf(refute_0_825,plain,
( join(join(X_34,join(X_35,Y)),meet(Y,join(X_34,join(X_35,Y)))) != join(X_34,join(X_35,Y))
| meet(Y,join(X_34,join(X_35,Y))) != Y
| join(join(X_34,join(X_35,Y)),Y) = join(X_34,join(X_35,Y)) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(X_34,join(X_35,Y)),meet(Y,join(X_34,join(X_35,Y)))),join(X_34,join(X_35,Y))) ),[0,1],$fot(Y)]]) ).
cnf(refute_0_826,plain,
( join(join(X_34,join(X_35,Y)),meet(Y,join(X_34,join(X_35,Y)))) != join(X_34,join(X_35,Y))
| join(join(X_34,join(X_35,Y)),Y) = join(X_34,join(X_35,Y)) ),
inference(resolve,[$cnf( $equal(meet(Y,join(X_34,join(X_35,Y))),Y) )],[refute_0_824,refute_0_825]) ).
cnf(refute_0_827,plain,
join(join(X_34,join(X_35,Y)),Y) = join(X_34,join(X_35,Y)),
inference(resolve,[$cnf( $equal(join(join(X_34,join(X_35,Y)),meet(Y,join(X_34,join(X_35,Y)))),join(X_34,join(X_35,Y))) )],[refute_0_823,refute_0_826]) ).
cnf(refute_0_828,plain,
join(Y,join(X_35,Y)) = join(Y,X_35),
inference(subst,[],[refute_0_86:[bind(Y,$fot(X_35)),bind(X_9,$fot(Y))]]) ).
cnf(refute_0_829,plain,
join(X_34,join(Y,join(X_35,Y))) = join(X_34,join(Y,join(X_35,Y))),
introduced(tautology,[refl,[$fot(join(X_34,join(Y,join(X_35,Y))))]]) ).
cnf(refute_0_830,plain,
( join(Y,join(X_35,Y)) != join(Y,X_35)
| join(X_34,join(Y,join(X_35,Y))) != join(X_34,join(Y,join(X_35,Y)))
| join(X_34,join(Y,join(X_35,Y))) = join(X_34,join(Y,X_35)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_34,join(Y,join(X_35,Y))),join(X_34,join(Y,join(X_35,Y)))) ),[1,1],$fot(join(Y,X_35))]]) ).
cnf(refute_0_831,plain,
( join(Y,join(X_35,Y)) != join(Y,X_35)
| join(X_34,join(Y,join(X_35,Y))) = join(X_34,join(Y,X_35)) ),
inference(resolve,[$cnf( $equal(join(X_34,join(Y,join(X_35,Y))),join(X_34,join(Y,join(X_35,Y)))) )],[refute_0_829,refute_0_830]) ).
cnf(refute_0_832,plain,
join(X_34,join(Y,join(X_35,Y))) = join(X_34,join(Y,X_35)),
inference(resolve,[$cnf( $equal(join(Y,join(X_35,Y)),join(Y,X_35)) )],[refute_0_828,refute_0_831]) ).
cnf(refute_0_833,plain,
join(join(X_30,X_31),X_32) = join(X_30,join(X_31,X_32)),
inference(subst,[],[associativity_of_join:[bind(X,$fot(X_30)),bind(Y,$fot(X_31)),bind(Z,$fot(X_32))]]) ).
cnf(refute_0_834,plain,
join(X_32,X_31) = join(X_31,X_32),
inference(subst,[],[commutativity_of_join:[bind(X,$fot(X_32)),bind(Y,$fot(X_31))]]) ).
cnf(refute_0_835,plain,
( join(X_32,X_31) != join(X_31,X_32)
| join(X_31,X_32) = join(X_32,X_31) ),
inference(subst,[],[refute_0_16:[bind(X0,$fot(join(X_32,X_31))),bind(Y0,$fot(join(X_31,X_32)))]]) ).
cnf(refute_0_836,plain,
join(X_31,X_32) = join(X_32,X_31),
inference(resolve,[$cnf( $equal(join(X_32,X_31),join(X_31,X_32)) )],[refute_0_834,refute_0_835]) ).
cnf(refute_0_837,plain,
( join(X_31,X_32) != join(X_32,X_31)
| join(join(X_30,X_31),X_32) != join(X_30,join(X_31,X_32))
| join(join(X_30,X_31),X_32) = join(X_30,join(X_32,X_31)) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(X_30,X_31),X_32),join(X_30,join(X_31,X_32))) ),[1,1],$fot(join(X_32,X_31))]]) ).
cnf(refute_0_838,plain,
( join(join(X_30,X_31),X_32) != join(X_30,join(X_31,X_32))
| join(join(X_30,X_31),X_32) = join(X_30,join(X_32,X_31)) ),
inference(resolve,[$cnf( $equal(join(X_31,X_32),join(X_32,X_31)) )],[refute_0_836,refute_0_837]) ).
cnf(refute_0_839,plain,
join(join(X_30,X_31),X_32) = join(X_30,join(X_32,X_31)),
inference(resolve,[$cnf( $equal(join(join(X_30,X_31),X_32),join(X_30,join(X_31,X_32))) )],[refute_0_833,refute_0_838]) ).
cnf(refute_0_840,plain,
( join(join(X_30,X_31),X_32) != join(X_30,join(X_31,X_32))
| join(join(X_30,X_31),X_32) != join(X_30,join(X_32,X_31))
| join(X_30,join(X_31,X_32)) = join(X_30,join(X_32,X_31)) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(X_30,X_31),X_32),join(X_30,join(X_32,X_31))) ),[0],$fot(join(X_30,join(X_31,X_32)))]]) ).
cnf(refute_0_841,plain,
( join(join(X_30,X_31),X_32) != join(X_30,join(X_32,X_31))
| join(X_30,join(X_31,X_32)) = join(X_30,join(X_32,X_31)) ),
inference(resolve,[$cnf( $equal(join(join(X_30,X_31),X_32),join(X_30,join(X_31,X_32))) )],[refute_0_833,refute_0_840]) ).
cnf(refute_0_842,plain,
join(X_30,join(X_31,X_32)) = join(X_30,join(X_32,X_31)),
inference(resolve,[$cnf( $equal(join(join(X_30,X_31),X_32),join(X_30,join(X_32,X_31))) )],[refute_0_839,refute_0_841]) ).
cnf(refute_0_843,plain,
( join(X_30,join(X_31,X_32)) != join(X_30,join(X_32,X_31))
| join(X_30,join(X_32,X_31)) = join(X_30,join(X_31,X_32)) ),
inference(subst,[],[refute_0_16:[bind(X0,$fot(join(X_30,join(X_31,X_32)))),bind(Y0,$fot(join(X_30,join(X_32,X_31))))]]) ).
cnf(refute_0_844,plain,
join(X_30,join(X_32,X_31)) = join(X_30,join(X_31,X_32)),
inference(resolve,[$cnf( $equal(join(X_30,join(X_31,X_32)),join(X_30,join(X_32,X_31))) )],[refute_0_842,refute_0_843]) ).
cnf(refute_0_845,plain,
join(X_34,join(join(X_35,Y),Y)) = join(X_34,join(Y,join(X_35,Y))),
inference(subst,[],[refute_0_844:[bind(X_30,$fot(X_34)),bind(X_31,$fot(Y)),bind(X_32,$fot(join(X_35,Y)))]]) ).
cnf(refute_0_846,plain,
join(join(X_34,join(X_35,Y)),Y) = join(X_34,join(join(X_35,Y),Y)),
inference(subst,[],[associativity_of_join:[bind(X,$fot(X_34)),bind(Y,$fot(join(X_35,Y))),bind(Z,$fot(Y))]]) ).
cnf(refute_0_847,plain,
( join(X_34,join(join(X_35,Y),Y)) != join(X_34,join(Y,join(X_35,Y)))
| join(join(X_34,join(X_35,Y)),Y) != join(X_34,join(join(X_35,Y),Y))
| join(join(X_34,join(X_35,Y)),Y) = join(X_34,join(Y,join(X_35,Y))) ),
inference(subst,[],[refute_0_93:[bind(X0,$fot(join(join(X_34,join(X_35,Y)),Y))),bind(Y0,$fot(join(X_34,join(join(X_35,Y),Y)))),bind(Z0,$fot(join(X_34,join(Y,join(X_35,Y)))))]]) ).
cnf(refute_0_848,plain,
( join(X_34,join(join(X_35,Y),Y)) != join(X_34,join(Y,join(X_35,Y)))
| join(join(X_34,join(X_35,Y)),Y) = join(X_34,join(Y,join(X_35,Y))) ),
inference(resolve,[$cnf( $equal(join(join(X_34,join(X_35,Y)),Y),join(X_34,join(join(X_35,Y),Y))) )],[refute_0_846,refute_0_847]) ).
cnf(refute_0_849,plain,
join(join(X_34,join(X_35,Y)),Y) = join(X_34,join(Y,join(X_35,Y))),
inference(resolve,[$cnf( $equal(join(X_34,join(join(X_35,Y),Y)),join(X_34,join(Y,join(X_35,Y)))) )],[refute_0_845,refute_0_848]) ).
cnf(refute_0_850,plain,
( join(X_34,join(Y,join(X_35,Y))) != join(X_34,join(Y,X_35))
| join(join(X_34,join(X_35,Y)),Y) != join(X_34,join(Y,join(X_35,Y)))
| join(join(X_34,join(X_35,Y)),Y) = join(X_34,join(Y,X_35)) ),
inference(subst,[],[refute_0_93:[bind(X0,$fot(join(join(X_34,join(X_35,Y)),Y))),bind(Y0,$fot(join(X_34,join(Y,join(X_35,Y))))),bind(Z0,$fot(join(X_34,join(Y,X_35))))]]) ).
cnf(refute_0_851,plain,
( join(X_34,join(Y,join(X_35,Y))) != join(X_34,join(Y,X_35))
| join(join(X_34,join(X_35,Y)),Y) = join(X_34,join(Y,X_35)) ),
inference(resolve,[$cnf( $equal(join(join(X_34,join(X_35,Y)),Y),join(X_34,join(Y,join(X_35,Y)))) )],[refute_0_849,refute_0_850]) ).
cnf(refute_0_852,plain,
join(join(X_34,join(X_35,Y)),Y) = join(X_34,join(Y,X_35)),
inference(resolve,[$cnf( $equal(join(X_34,join(Y,join(X_35,Y))),join(X_34,join(Y,X_35))) )],[refute_0_832,refute_0_851]) ).
cnf(refute_0_853,plain,
( join(join(X_34,join(X_35,Y)),Y) != join(X_34,join(Y,X_35))
| join(join(X_34,join(X_35,Y)),Y) != join(X_34,join(X_35,Y))
| join(X_34,join(Y,X_35)) = join(X_34,join(X_35,Y)) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(X_34,join(X_35,Y)),Y),join(X_34,join(X_35,Y))) ),[0],$fot(join(X_34,join(Y,X_35)))]]) ).
cnf(refute_0_854,plain,
( join(join(X_34,join(X_35,Y)),Y) != join(X_34,join(X_35,Y))
| join(X_34,join(Y,X_35)) = join(X_34,join(X_35,Y)) ),
inference(resolve,[$cnf( $equal(join(join(X_34,join(X_35,Y)),Y),join(X_34,join(Y,X_35))) )],[refute_0_852,refute_0_853]) ).
cnf(refute_0_855,plain,
join(X_34,join(Y,X_35)) = join(X_34,join(X_35,Y)),
inference(resolve,[$cnf( $equal(join(join(X_34,join(X_35,Y)),Y),join(X_34,join(X_35,Y))) )],[refute_0_827,refute_0_854]) ).
cnf(refute_0_856,plain,
join(X_34,join(meet(X_69,X_70),meet(X_70,X_69))) = join(X_34,join(meet(X_70,X_69),meet(X_69,X_70))),
inference(subst,[],[refute_0_855:[bind(Y,$fot(meet(X_69,X_70))),bind(X_35,$fot(meet(X_70,X_69)))]]) ).
cnf(refute_0_857,plain,
( join(X_34,join(meet(X_69,X_70),meet(X_70,X_69))) != join(X_34,join(meet(X_70,X_69),meet(X_69,X_70)))
| join(meet(X_70,X_69),meet(X_69,X_70)) != meet(X_70,X_69)
| join(X_34,join(meet(X_69,X_70),meet(X_70,X_69))) = join(X_34,meet(X_70,X_69)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_34,join(meet(X_69,X_70),meet(X_70,X_69))),join(X_34,join(meet(X_70,X_69),meet(X_69,X_70)))) ),[1,1],$fot(meet(X_70,X_69))]]) ).
cnf(refute_0_858,plain,
( join(X_34,join(meet(X_69,X_70),meet(X_70,X_69))) != join(X_34,join(meet(X_70,X_69),meet(X_69,X_70)))
| join(X_34,join(meet(X_69,X_70),meet(X_70,X_69))) = join(X_34,meet(X_70,X_69)) ),
inference(resolve,[$cnf( $equal(join(meet(X_70,X_69),meet(X_69,X_70)),meet(X_70,X_69)) )],[refute_0_128,refute_0_857]) ).
cnf(refute_0_859,plain,
join(X_34,join(meet(X_69,X_70),meet(X_70,X_69))) = join(X_34,meet(X_70,X_69)),
inference(resolve,[$cnf( $equal(join(X_34,join(meet(X_69,X_70),meet(X_70,X_69))),join(X_34,join(meet(X_70,X_69),meet(X_69,X_70)))) )],[refute_0_856,refute_0_858]) ).
cnf(refute_0_860,plain,
join(meet(X_69,X_70),meet(X_70,X_69)) = meet(X_69,X_70),
inference(subst,[],[refute_0_30:[bind(Y,$fot(X_70)),bind(X_18,$fot(X_69))]]) ).
cnf(refute_0_861,plain,
join(X_34,join(meet(X_69,X_70),meet(X_70,X_69))) = join(X_34,join(meet(X_69,X_70),meet(X_70,X_69))),
introduced(tautology,[refl,[$fot(join(X_34,join(meet(X_69,X_70),meet(X_70,X_69))))]]) ).
cnf(refute_0_862,plain,
( join(X_34,join(meet(X_69,X_70),meet(X_70,X_69))) != join(X_34,join(meet(X_69,X_70),meet(X_70,X_69)))
| join(meet(X_69,X_70),meet(X_70,X_69)) != meet(X_69,X_70)
| join(X_34,join(meet(X_69,X_70),meet(X_70,X_69))) = join(X_34,meet(X_69,X_70)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_34,join(meet(X_69,X_70),meet(X_70,X_69))),join(X_34,join(meet(X_69,X_70),meet(X_70,X_69)))) ),[1,1],$fot(meet(X_69,X_70))]]) ).
cnf(refute_0_863,plain,
( join(meet(X_69,X_70),meet(X_70,X_69)) != meet(X_69,X_70)
| join(X_34,join(meet(X_69,X_70),meet(X_70,X_69))) = join(X_34,meet(X_69,X_70)) ),
inference(resolve,[$cnf( $equal(join(X_34,join(meet(X_69,X_70),meet(X_70,X_69))),join(X_34,join(meet(X_69,X_70),meet(X_70,X_69)))) )],[refute_0_861,refute_0_862]) ).
cnf(refute_0_864,plain,
join(X_34,join(meet(X_69,X_70),meet(X_70,X_69))) = join(X_34,meet(X_69,X_70)),
inference(resolve,[$cnf( $equal(join(meet(X_69,X_70),meet(X_70,X_69)),meet(X_69,X_70)) )],[refute_0_860,refute_0_863]) ).
cnf(refute_0_865,plain,
( join(X_34,join(meet(X_69,X_70),meet(X_70,X_69))) != join(X_34,meet(X_69,X_70))
| join(X_34,join(meet(X_69,X_70),meet(X_70,X_69))) != join(X_34,meet(X_70,X_69))
| join(X_34,meet(X_69,X_70)) = join(X_34,meet(X_70,X_69)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_34,join(meet(X_69,X_70),meet(X_70,X_69))),join(X_34,meet(X_70,X_69))) ),[0],$fot(join(X_34,meet(X_69,X_70)))]]) ).
cnf(refute_0_866,plain,
( join(X_34,join(meet(X_69,X_70),meet(X_70,X_69))) != join(X_34,meet(X_70,X_69))
| join(X_34,meet(X_69,X_70)) = join(X_34,meet(X_70,X_69)) ),
inference(resolve,[$cnf( $equal(join(X_34,join(meet(X_69,X_70),meet(X_70,X_69))),join(X_34,meet(X_69,X_70))) )],[refute_0_864,refute_0_865]) ).
cnf(refute_0_867,plain,
join(X_34,meet(X_69,X_70)) = join(X_34,meet(X_70,X_69)),
inference(resolve,[$cnf( $equal(join(X_34,join(meet(X_69,X_70),meet(X_70,X_69))),join(X_34,meet(X_70,X_69))) )],[refute_0_859,refute_0_866]) ).
cnf(refute_0_868,plain,
join(meet(X_69,X_70),meet(X_193,X_194)) = join(meet(X_69,X_70),meet(X_194,X_193)),
inference(subst,[],[refute_0_867:[bind(X_34,$fot(meet(X_69,X_70))),bind(X_69,$fot(X_193)),bind(X_70,$fot(X_194))]]) ).
cnf(refute_0_869,plain,
( join(meet(X_193,X_194),meet(X_70,X_69)) != join(meet(X_70,X_69),join(meet(X_69,X_70),meet(X_193,X_194)))
| join(meet(X_69,X_70),meet(X_193,X_194)) != join(meet(X_69,X_70),meet(X_194,X_193))
| join(meet(X_193,X_194),meet(X_70,X_69)) = join(meet(X_70,X_69),join(meet(X_69,X_70),meet(X_194,X_193))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_193,X_194),meet(X_70,X_69)),join(meet(X_70,X_69),join(meet(X_69,X_70),meet(X_193,X_194)))) ),[1,1],$fot(join(meet(X_69,X_70),meet(X_194,X_193)))]]) ).
cnf(refute_0_870,plain,
( join(meet(X_193,X_194),meet(X_70,X_69)) != join(meet(X_70,X_69),join(meet(X_69,X_70),meet(X_193,X_194)))
| join(meet(X_193,X_194),meet(X_70,X_69)) = join(meet(X_70,X_69),join(meet(X_69,X_70),meet(X_194,X_193))) ),
inference(resolve,[$cnf( $equal(join(meet(X_69,X_70),meet(X_193,X_194)),join(meet(X_69,X_70),meet(X_194,X_193))) )],[refute_0_868,refute_0_869]) ).
cnf(refute_0_871,plain,
join(meet(X_193,X_194),meet(X_70,X_69)) = join(meet(X_70,X_69),join(meet(X_69,X_70),meet(X_194,X_193))),
inference(resolve,[$cnf( $equal(join(meet(X_193,X_194),meet(X_70,X_69)),join(meet(X_70,X_69),join(meet(X_69,X_70),meet(X_193,X_194)))) )],[refute_0_822,refute_0_870]) ).
cnf(refute_0_872,plain,
join(meet(X_70,X_69),join(meet(X_69,X_70),meet(X_194,X_193))) = join(meet(X_194,X_193),meet(X_70,X_69)),
inference(subst,[],[refute_0_740:[bind(X,$fot(meet(X_194,X_193)))]]) ).
cnf(refute_0_873,plain,
( join(meet(X_193,X_194),meet(X_70,X_69)) != join(meet(X_70,X_69),join(meet(X_69,X_70),meet(X_194,X_193)))
| join(meet(X_70,X_69),join(meet(X_69,X_70),meet(X_194,X_193))) != join(meet(X_194,X_193),meet(X_70,X_69))
| join(meet(X_193,X_194),meet(X_70,X_69)) = join(meet(X_194,X_193),meet(X_70,X_69)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(meet(X_193,X_194),meet(X_70,X_69)),join(meet(X_194,X_193),meet(X_70,X_69))) ),[0],$fot(join(meet(X_70,X_69),join(meet(X_69,X_70),meet(X_194,X_193))))]]) ).
cnf(refute_0_874,plain,
( join(meet(X_193,X_194),meet(X_70,X_69)) != join(meet(X_70,X_69),join(meet(X_69,X_70),meet(X_194,X_193)))
| join(meet(X_193,X_194),meet(X_70,X_69)) = join(meet(X_194,X_193),meet(X_70,X_69)) ),
inference(resolve,[$cnf( $equal(join(meet(X_70,X_69),join(meet(X_69,X_70),meet(X_194,X_193))),join(meet(X_194,X_193),meet(X_70,X_69))) )],[refute_0_872,refute_0_873]) ).
cnf(refute_0_875,plain,
join(meet(X_193,X_194),meet(X_70,X_69)) = join(meet(X_194,X_193),meet(X_70,X_69)),
inference(resolve,[$cnf( $equal(join(meet(X_193,X_194),meet(X_70,X_69)),join(meet(X_70,X_69),join(meet(X_69,X_70),meet(X_194,X_193)))) )],[refute_0_871,refute_0_874]) ).
cnf(refute_0_876,plain,
( join(meet(X_193,X_194),meet(X_70,X_69)) != join(meet(X_194,X_193),meet(X_70,X_69))
| join(meet(X_194,X_193),meet(X_70,X_69)) = join(meet(X_193,X_194),meet(X_70,X_69)) ),
inference(subst,[],[refute_0_16:[bind(X0,$fot(join(meet(X_193,X_194),meet(X_70,X_69)))),bind(Y0,$fot(join(meet(X_194,X_193),meet(X_70,X_69))))]]) ).
cnf(refute_0_877,plain,
join(meet(X_194,X_193),meet(X_70,X_69)) = join(meet(X_193,X_194),meet(X_70,X_69)),
inference(resolve,[$cnf( $equal(join(meet(X_193,X_194),meet(X_70,X_69)),join(meet(X_194,X_193),meet(X_70,X_69))) )],[refute_0_875,refute_0_876]) ).
cnf(refute_0_878,plain,
join(meet(meet(X_210,join(X_209,X_114)),X_114),meet(X_209,meet(X_114,meet(X_210,join(X_209,X_114))))) = join(meet(X_114,meet(X_210,join(X_209,X_114))),meet(X_209,meet(X_114,meet(X_210,join(X_209,X_114))))),
inference(subst,[],[refute_0_877:[bind(X_193,$fot(X_114)),bind(X_194,$fot(meet(X_210,join(X_209,X_114)))),bind(X_69,$fot(meet(X_114,meet(X_210,join(X_209,X_114))))),bind(X_70,$fot(X_209))]]) ).
cnf(refute_0_879,plain,
( join(meet(X_114,meet(X_210,join(X_209,X_114))),meet(X_209,meet(X_114,meet(X_210,join(X_209,X_114))))) != meet(X_114,X_210)
| join(meet(meet(X_210,join(X_209,X_114)),X_114),meet(X_209,meet(X_114,meet(X_210,join(X_209,X_114))))) != join(meet(X_114,meet(X_210,join(X_209,X_114))),meet(X_209,meet(X_114,meet(X_210,join(X_209,X_114)))))
| join(meet(meet(X_210,join(X_209,X_114)),X_114),meet(X_209,meet(X_114,meet(X_210,join(X_209,X_114))))) = meet(X_114,X_210) ),
inference(subst,[],[refute_0_93:[bind(X0,$fot(join(meet(meet(X_210,join(X_209,X_114)),X_114),meet(X_209,meet(X_114,meet(X_210,join(X_209,X_114))))))),bind(Y0,$fot(join(meet(X_114,meet(X_210,join(X_209,X_114))),meet(X_209,meet(X_114,meet(X_210,join(X_209,X_114))))))),bind(Z0,$fot(meet(X_114,X_210)))]]) ).
cnf(refute_0_880,plain,
( join(meet(X_114,meet(X_210,join(X_209,X_114))),meet(X_209,meet(X_114,meet(X_210,join(X_209,X_114))))) != meet(X_114,X_210)
| join(meet(meet(X_210,join(X_209,X_114)),X_114),meet(X_209,meet(X_114,meet(X_210,join(X_209,X_114))))) = meet(X_114,X_210) ),
inference(resolve,[$cnf( $equal(join(meet(meet(X_210,join(X_209,X_114)),X_114),meet(X_209,meet(X_114,meet(X_210,join(X_209,X_114))))),join(meet(X_114,meet(X_210,join(X_209,X_114))),meet(X_209,meet(X_114,meet(X_210,join(X_209,X_114)))))) )],[refute_0_878,refute_0_879]) ).
cnf(refute_0_881,plain,
join(meet(meet(X_210,join(X_209,X_114)),X_114),meet(X_209,meet(X_114,meet(X_210,join(X_209,X_114))))) = meet(X_114,X_210),
inference(resolve,[$cnf( $equal(join(meet(X_114,meet(X_210,join(X_209,X_114))),meet(X_209,meet(X_114,meet(X_210,join(X_209,X_114))))),meet(X_114,X_210)) )],[refute_0_821,refute_0_880]) ).
cnf(refute_0_882,plain,
join(meet(meet(X_210,join(X_209,X_114)),X_114),meet(X_209,meet(meet(X_210,join(X_209,X_114)),X_114))) = join(meet(meet(X_210,join(X_209,X_114)),X_114),meet(X_209,meet(X_114,meet(X_210,join(X_209,X_114))))),
inference(subst,[],[refute_0_560:[bind(X,$fot(meet(meet(X_210,join(X_209,X_114)),X_114))),bind(X_202,$fot(meet(X_210,join(X_209,X_114)))),bind(X_203,$fot(X_114)),bind(X_204,$fot(X_209))]]) ).
cnf(refute_0_883,plain,
( join(meet(meet(X_210,join(X_209,X_114)),X_114),meet(X_209,meet(X_114,meet(X_210,join(X_209,X_114))))) != meet(X_114,X_210)
| join(meet(meet(X_210,join(X_209,X_114)),X_114),meet(X_209,meet(meet(X_210,join(X_209,X_114)),X_114))) != join(meet(meet(X_210,join(X_209,X_114)),X_114),meet(X_209,meet(X_114,meet(X_210,join(X_209,X_114)))))
| join(meet(meet(X_210,join(X_209,X_114)),X_114),meet(X_209,meet(meet(X_210,join(X_209,X_114)),X_114))) = meet(X_114,X_210) ),
inference(subst,[],[refute_0_93:[bind(X0,$fot(join(meet(meet(X_210,join(X_209,X_114)),X_114),meet(X_209,meet(meet(X_210,join(X_209,X_114)),X_114))))),bind(Y0,$fot(join(meet(meet(X_210,join(X_209,X_114)),X_114),meet(X_209,meet(X_114,meet(X_210,join(X_209,X_114))))))),bind(Z0,$fot(meet(X_114,X_210)))]]) ).
cnf(refute_0_884,plain,
( join(meet(meet(X_210,join(X_209,X_114)),X_114),meet(X_209,meet(X_114,meet(X_210,join(X_209,X_114))))) != meet(X_114,X_210)
| join(meet(meet(X_210,join(X_209,X_114)),X_114),meet(X_209,meet(meet(X_210,join(X_209,X_114)),X_114))) = meet(X_114,X_210) ),
inference(resolve,[$cnf( $equal(join(meet(meet(X_210,join(X_209,X_114)),X_114),meet(X_209,meet(meet(X_210,join(X_209,X_114)),X_114))),join(meet(meet(X_210,join(X_209,X_114)),X_114),meet(X_209,meet(X_114,meet(X_210,join(X_209,X_114)))))) )],[refute_0_882,refute_0_883]) ).
cnf(refute_0_885,plain,
join(meet(meet(X_210,join(X_209,X_114)),X_114),meet(X_209,meet(meet(X_210,join(X_209,X_114)),X_114))) = meet(X_114,X_210),
inference(resolve,[$cnf( $equal(join(meet(meet(X_210,join(X_209,X_114)),X_114),meet(X_209,meet(X_114,meet(X_210,join(X_209,X_114))))),meet(X_114,X_210)) )],[refute_0_881,refute_0_884]) ).
cnf(refute_0_886,plain,
( join(Y,meet(X_203,meet(X_202,X_204))) != join(meet(X_202,meet(X_204,X_203)),Y)
| join(meet(X_202,meet(X_204,X_203)),Y) = join(Y,meet(X_203,meet(X_202,X_204))) ),
inference(subst,[],[refute_0_16:[bind(X0,$fot(join(Y,meet(X_203,meet(X_202,X_204))))),bind(Y0,$fot(join(meet(X_202,meet(X_204,X_203)),Y)))]]) ).
cnf(refute_0_887,plain,
join(meet(X_202,meet(X_204,X_203)),Y) = join(Y,meet(X_203,meet(X_202,X_204))),
inference(resolve,[$cnf( $equal(join(Y,meet(X_203,meet(X_202,X_204))),join(meet(X_202,meet(X_204,X_203)),Y)) )],[refute_0_551,refute_0_886]) ).
cnf(refute_0_888,plain,
join(meet(meet(X_210,join(X_209,X_114)),meet(X_114,X_209)),meet(meet(X_210,join(X_209,X_114)),X_114)) = join(meet(meet(X_210,join(X_209,X_114)),X_114),meet(X_209,meet(meet(X_210,join(X_209,X_114)),X_114))),
inference(subst,[],[refute_0_887:[bind(Y,$fot(meet(meet(X_210,join(X_209,X_114)),X_114))),bind(X_202,$fot(meet(X_210,join(X_209,X_114)))),bind(X_203,$fot(X_209)),bind(X_204,$fot(X_114))]]) ).
cnf(refute_0_889,plain,
( join(meet(meet(X_210,join(X_209,X_114)),X_114),meet(X_209,meet(meet(X_210,join(X_209,X_114)),X_114))) != meet(X_114,X_210)
| join(meet(meet(X_210,join(X_209,X_114)),meet(X_114,X_209)),meet(meet(X_210,join(X_209,X_114)),X_114)) != join(meet(meet(X_210,join(X_209,X_114)),X_114),meet(X_209,meet(meet(X_210,join(X_209,X_114)),X_114)))
| join(meet(meet(X_210,join(X_209,X_114)),meet(X_114,X_209)),meet(meet(X_210,join(X_209,X_114)),X_114)) = meet(X_114,X_210) ),
inference(subst,[],[refute_0_93:[bind(X0,$fot(join(meet(meet(X_210,join(X_209,X_114)),meet(X_114,X_209)),meet(meet(X_210,join(X_209,X_114)),X_114)))),bind(Y0,$fot(join(meet(meet(X_210,join(X_209,X_114)),X_114),meet(X_209,meet(meet(X_210,join(X_209,X_114)),X_114))))),bind(Z0,$fot(meet(X_114,X_210)))]]) ).
cnf(refute_0_890,plain,
( join(meet(meet(X_210,join(X_209,X_114)),X_114),meet(X_209,meet(meet(X_210,join(X_209,X_114)),X_114))) != meet(X_114,X_210)
| join(meet(meet(X_210,join(X_209,X_114)),meet(X_114,X_209)),meet(meet(X_210,join(X_209,X_114)),X_114)) = meet(X_114,X_210) ),
inference(resolve,[$cnf( $equal(join(meet(meet(X_210,join(X_209,X_114)),meet(X_114,X_209)),meet(meet(X_210,join(X_209,X_114)),X_114)),join(meet(meet(X_210,join(X_209,X_114)),X_114),meet(X_209,meet(meet(X_210,join(X_209,X_114)),X_114)))) )],[refute_0_888,refute_0_889]) ).
cnf(refute_0_891,plain,
join(meet(meet(X_210,join(X_209,X_114)),meet(X_114,X_209)),meet(meet(X_210,join(X_209,X_114)),X_114)) = meet(X_114,X_210),
inference(resolve,[$cnf( $equal(join(meet(meet(X_210,join(X_209,X_114)),X_114),meet(X_209,meet(meet(X_210,join(X_209,X_114)),X_114))),meet(X_114,X_210)) )],[refute_0_885,refute_0_890]) ).
cnf(refute_0_892,plain,
( join(meet(meet(X_210,join(X_209,X_114)),meet(X_114,X_209)),meet(meet(X_210,join(X_209,X_114)),X_114)) != meet(X_114,X_210)
| join(meet(meet(X_210,join(X_209,X_114)),meet(X_114,X_209)),meet(meet(X_210,join(X_209,X_114)),X_114)) != meet(meet(X_210,join(X_209,X_114)),join(meet(meet(X_210,join(X_209,X_114)),meet(X_114,X_209)),join(meet(X_114,X_209),meet(X_114,X_210))))
| meet(X_114,X_210) = meet(meet(X_210,join(X_209,X_114)),join(meet(meet(X_210,join(X_209,X_114)),meet(X_114,X_209)),join(meet(X_114,X_209),meet(X_114,X_210)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(meet(X_210,join(X_209,X_114)),meet(X_114,X_209)),meet(meet(X_210,join(X_209,X_114)),X_114)),meet(meet(X_210,join(X_209,X_114)),join(meet(meet(X_210,join(X_209,X_114)),meet(X_114,X_209)),join(meet(X_114,X_209),meet(X_114,X_210))))) ),[0],$fot(meet(X_114,X_210))]]) ).
cnf(refute_0_893,plain,
( join(meet(meet(X_210,join(X_209,X_114)),meet(X_114,X_209)),meet(meet(X_210,join(X_209,X_114)),X_114)) != meet(meet(X_210,join(X_209,X_114)),join(meet(meet(X_210,join(X_209,X_114)),meet(X_114,X_209)),join(meet(X_114,X_209),meet(X_114,X_210))))
| meet(X_114,X_210) = meet(meet(X_210,join(X_209,X_114)),join(meet(meet(X_210,join(X_209,X_114)),meet(X_114,X_209)),join(meet(X_114,X_209),meet(X_114,X_210)))) ),
inference(resolve,[$cnf( $equal(join(meet(meet(X_210,join(X_209,X_114)),meet(X_114,X_209)),meet(meet(X_210,join(X_209,X_114)),X_114)),meet(X_114,X_210)) )],[refute_0_891,refute_0_892]) ).
cnf(refute_0_894,plain,
meet(meet(X_22,join(Y,X_22)),X_24) = meet(X_22,meet(join(Y,X_22),X_24)),
inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_22)),bind(Y,$fot(join(Y,X_22))),bind(Z,$fot(X_24))]]) ).
cnf(refute_0_895,plain,
meet(X_22,join(Y,X_22)) = X_22,
inference(subst,[],[refute_0_2:[bind(X,$fot(X_22))]]) ).
cnf(refute_0_896,plain,
( meet(X_22,join(Y,X_22)) != X_22
| meet(meet(X_22,join(Y,X_22)),X_24) != meet(X_22,meet(join(Y,X_22),X_24))
| meet(X_22,X_24) = meet(X_22,meet(join(Y,X_22),X_24)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_22,join(Y,X_22)),X_24),meet(X_22,meet(join(Y,X_22),X_24))) ),[0,0],$fot(X_22)]]) ).
cnf(refute_0_897,plain,
( meet(meet(X_22,join(Y,X_22)),X_24) != meet(X_22,meet(join(Y,X_22),X_24))
| meet(X_22,X_24) = meet(X_22,meet(join(Y,X_22),X_24)) ),
inference(resolve,[$cnf( $equal(meet(X_22,join(Y,X_22)),X_22) )],[refute_0_895,refute_0_896]) ).
cnf(refute_0_898,plain,
meet(X_22,X_24) = meet(X_22,meet(join(Y,X_22),X_24)),
inference(resolve,[$cnf( $equal(meet(meet(X_22,join(Y,X_22)),X_24),meet(X_22,meet(join(Y,X_22),X_24))) )],[refute_0_894,refute_0_897]) ).
cnf(refute_0_899,plain,
meet(X_22,join(meet(X_22,X_209),meet(X_210,join(X_209,X_22)))) = meet(X_22,meet(join(Y,X_22),join(meet(X_22,X_209),meet(X_210,join(X_209,X_22))))),
inference(subst,[],[refute_0_898:[bind(X_24,$fot(join(meet(X_22,X_209),meet(X_210,join(X_209,X_22)))))]]) ).
cnf(refute_0_900,plain,
join(meet(X_22,X_209),meet(X_22,X_210)) = meet(X_22,join(meet(X_22,X_209),meet(X_210,join(X_209,X_22)))),
inference(subst,[],[refute_0_252:[bind(Y,$fot(X_22)),bind(X_112,$fot(X_209)),bind(X_114,$fot(X_210))]]) ).
cnf(refute_0_901,plain,
( join(meet(X_22,X_209),meet(X_22,X_210)) != meet(X_22,join(meet(X_22,X_209),meet(X_210,join(X_209,X_22))))
| meet(X_22,join(meet(X_22,X_209),meet(X_210,join(X_209,X_22)))) = join(meet(X_22,X_209),meet(X_22,X_210)) ),
inference(subst,[],[refute_0_16:[bind(X0,$fot(join(meet(X_22,X_209),meet(X_22,X_210)))),bind(Y0,$fot(meet(X_22,join(meet(X_22,X_209),meet(X_210,join(X_209,X_22))))))]]) ).
cnf(refute_0_902,plain,
meet(X_22,join(meet(X_22,X_209),meet(X_210,join(X_209,X_22)))) = join(meet(X_22,X_209),meet(X_22,X_210)),
inference(resolve,[$cnf( $equal(join(meet(X_22,X_209),meet(X_22,X_210)),meet(X_22,join(meet(X_22,X_209),meet(X_210,join(X_209,X_22))))) )],[refute_0_900,refute_0_901]) ).
cnf(refute_0_903,plain,
( meet(X_22,join(meet(X_22,X_209),meet(X_210,join(X_209,X_22)))) != join(meet(X_22,X_209),meet(X_22,X_210))
| meet(X_22,join(meet(X_22,X_209),meet(X_210,join(X_209,X_22)))) != meet(X_22,meet(join(Y,X_22),join(meet(X_22,X_209),meet(X_210,join(X_209,X_22)))))
| join(meet(X_22,X_209),meet(X_22,X_210)) = meet(X_22,meet(join(Y,X_22),join(meet(X_22,X_209),meet(X_210,join(X_209,X_22))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_22,join(meet(X_22,X_209),meet(X_210,join(X_209,X_22)))),meet(X_22,meet(join(Y,X_22),join(meet(X_22,X_209),meet(X_210,join(X_209,X_22)))))) ),[0],$fot(join(meet(X_22,X_209),meet(X_22,X_210)))]]) ).
cnf(refute_0_904,plain,
( meet(X_22,join(meet(X_22,X_209),meet(X_210,join(X_209,X_22)))) != meet(X_22,meet(join(Y,X_22),join(meet(X_22,X_209),meet(X_210,join(X_209,X_22)))))
| join(meet(X_22,X_209),meet(X_22,X_210)) = meet(X_22,meet(join(Y,X_22),join(meet(X_22,X_209),meet(X_210,join(X_209,X_22))))) ),
inference(resolve,[$cnf( $equal(meet(X_22,join(meet(X_22,X_209),meet(X_210,join(X_209,X_22)))),join(meet(X_22,X_209),meet(X_22,X_210))) )],[refute_0_902,refute_0_903]) ).
cnf(refute_0_905,plain,
join(meet(X_22,X_209),meet(X_22,X_210)) = meet(X_22,meet(join(Y,X_22),join(meet(X_22,X_209),meet(X_210,join(X_209,X_22))))),
inference(resolve,[$cnf( $equal(meet(X_22,join(meet(X_22,X_209),meet(X_210,join(X_209,X_22)))),meet(X_22,meet(join(Y,X_22),join(meet(X_22,X_209),meet(X_210,join(X_209,X_22)))))) )],[refute_0_899,refute_0_904]) ).
cnf(refute_0_906,plain,
meet(X_22,meet(join(Y,X_22),join(meet(X_22,X_209),meet(X_210,join(X_209,X_22))))) = meet(join(Y,X_22),join(meet(X_22,X_209),meet(X_22,X_210))),
inference(subst,[],[refute_0_569:[bind(X_23,$fot(join(Y,X_22))),bind(X_70,$fot(X_22))]]) ).
cnf(refute_0_907,plain,
( join(meet(X_22,X_209),meet(X_22,X_210)) != meet(X_22,meet(join(Y,X_22),join(meet(X_22,X_209),meet(X_210,join(X_209,X_22)))))
| meet(X_22,meet(join(Y,X_22),join(meet(X_22,X_209),meet(X_210,join(X_209,X_22))))) != meet(join(Y,X_22),join(meet(X_22,X_209),meet(X_22,X_210)))
| join(meet(X_22,X_209),meet(X_22,X_210)) = meet(join(Y,X_22),join(meet(X_22,X_209),meet(X_22,X_210))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(meet(X_22,X_209),meet(X_22,X_210)),meet(join(Y,X_22),join(meet(X_22,X_209),meet(X_22,X_210)))) ),[0],$fot(meet(X_22,meet(join(Y,X_22),join(meet(X_22,X_209),meet(X_210,join(X_209,X_22))))))]]) ).
cnf(refute_0_908,plain,
( join(meet(X_22,X_209),meet(X_22,X_210)) != meet(X_22,meet(join(Y,X_22),join(meet(X_22,X_209),meet(X_210,join(X_209,X_22)))))
| join(meet(X_22,X_209),meet(X_22,X_210)) = meet(join(Y,X_22),join(meet(X_22,X_209),meet(X_22,X_210))) ),
inference(resolve,[$cnf( $equal(meet(X_22,meet(join(Y,X_22),join(meet(X_22,X_209),meet(X_210,join(X_209,X_22))))),meet(join(Y,X_22),join(meet(X_22,X_209),meet(X_22,X_210)))) )],[refute_0_906,refute_0_907]) ).
cnf(refute_0_909,plain,
join(meet(X_22,X_209),meet(X_22,X_210)) = meet(join(Y,X_22),join(meet(X_22,X_209),meet(X_22,X_210))),
inference(resolve,[$cnf( $equal(join(meet(X_22,X_209),meet(X_22,X_210)),meet(X_22,meet(join(Y,X_22),join(meet(X_22,X_209),meet(X_210,join(X_209,X_22)))))) )],[refute_0_905,refute_0_908]) ).
cnf(refute_0_910,plain,
( join(meet(X_22,X_209),meet(X_22,X_210)) != meet(join(Y,X_22),join(meet(X_22,X_209),meet(X_22,X_210)))
| meet(join(Y,X_22),join(meet(X_22,X_209),meet(X_22,X_210))) = join(meet(X_22,X_209),meet(X_22,X_210)) ),
inference(subst,[],[refute_0_16:[bind(X0,$fot(join(meet(X_22,X_209),meet(X_22,X_210)))),bind(Y0,$fot(meet(join(Y,X_22),join(meet(X_22,X_209),meet(X_22,X_210)))))]]) ).
cnf(refute_0_911,plain,
meet(join(Y,X_22),join(meet(X_22,X_209),meet(X_22,X_210))) = join(meet(X_22,X_209),meet(X_22,X_210)),
inference(resolve,[$cnf( $equal(join(meet(X_22,X_209),meet(X_22,X_210)),meet(join(Y,X_22),join(meet(X_22,X_209),meet(X_22,X_210)))) )],[refute_0_909,refute_0_910]) ).
cnf(refute_0_912,plain,
meet(join(X_209,X_114),join(meet(X_114,X_210),meet(X_114,X_209))) = join(meet(X_114,X_210),meet(X_114,X_209)),
inference(subst,[],[refute_0_911:[bind(Y,$fot(X_209)),bind(X_209,$fot(X_210)),bind(X_210,$fot(X_209)),bind(X_22,$fot(X_114))]]) ).
cnf(refute_0_913,plain,
join(meet(X_114,X_209),meet(join(X_209,X_114),meet(X_210,meet(X_114,X_209)))) = meet(X_114,X_209),
inference(subst,[],[refute_0_62:[bind(X,$fot(meet(X_114,X_209))),bind(X_22,$fot(join(X_209,X_114))),bind(X_23,$fot(X_210))]]) ).
cnf(refute_0_914,plain,
join(meet(X_202,meet(X_203,X_204)),join(meet(X_202,meet(X_204,X_203)),X_58)) = join(X_58,join(meet(X_202,meet(X_204,X_203)),meet(X_202,meet(X_203,X_204)))),
inference(subst,[],[refute_0_160:[bind(X_57,$fot(meet(X_202,meet(X_203,X_204)))),bind(X_59,$fot(meet(X_202,meet(X_204,X_203))))]]) ).
cnf(refute_0_915,plain,
( join(meet(X_202,meet(X_203,X_204)),join(meet(X_202,meet(X_204,X_203)),X_58)) != join(X_58,join(meet(X_202,meet(X_204,X_203)),meet(X_202,meet(X_203,X_204))))
| join(meet(X_202,meet(X_204,X_203)),meet(X_202,meet(X_203,X_204))) != meet(X_204,meet(X_202,X_203))
| join(meet(X_202,meet(X_203,X_204)),join(meet(X_202,meet(X_204,X_203)),X_58)) = join(X_58,meet(X_204,meet(X_202,X_203))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_202,meet(X_203,X_204)),join(meet(X_202,meet(X_204,X_203)),X_58)),join(X_58,join(meet(X_202,meet(X_204,X_203)),meet(X_202,meet(X_203,X_204))))) ),[1,1],$fot(meet(X_204,meet(X_202,X_203)))]]) ).
cnf(refute_0_916,plain,
( join(meet(X_202,meet(X_203,X_204)),join(meet(X_202,meet(X_204,X_203)),X_58)) != join(X_58,join(meet(X_202,meet(X_204,X_203)),meet(X_202,meet(X_203,X_204))))
| join(meet(X_202,meet(X_203,X_204)),join(meet(X_202,meet(X_204,X_203)),X_58)) = join(X_58,meet(X_204,meet(X_202,X_203))) ),
inference(resolve,[$cnf( $equal(join(meet(X_202,meet(X_204,X_203)),meet(X_202,meet(X_203,X_204))),meet(X_204,meet(X_202,X_203))) )],[refute_0_304,refute_0_915]) ).
cnf(refute_0_917,plain,
join(meet(X_202,meet(X_203,X_204)),join(meet(X_202,meet(X_204,X_203)),X_58)) = join(X_58,meet(X_204,meet(X_202,X_203))),
inference(resolve,[$cnf( $equal(join(meet(X_202,meet(X_203,X_204)),join(meet(X_202,meet(X_204,X_203)),X_58)),join(X_58,join(meet(X_202,meet(X_204,X_203)),meet(X_202,meet(X_203,X_204))))) )],[refute_0_914,refute_0_916]) ).
cnf(refute_0_918,plain,
join(meet(X_202,meet(X_203,X_204)),join(meet(X_202,meet(X_204,X_203)),X_58)) = join(X_58,meet(X_203,meet(X_202,X_204))),
inference(subst,[],[refute_0_500:[bind(X_150,$fot(X_58)),bind(X_152,$fot(X_203)),bind(X_23,$fot(X_202)),bind(X_24,$fot(X_204))]]) ).
cnf(refute_0_919,plain,
( join(meet(X_202,meet(X_203,X_204)),join(meet(X_202,meet(X_204,X_203)),X_58)) != join(X_58,meet(X_203,meet(X_202,X_204)))
| join(meet(X_202,meet(X_203,X_204)),join(meet(X_202,meet(X_204,X_203)),X_58)) != join(X_58,meet(X_204,meet(X_202,X_203)))
| join(X_58,meet(X_203,meet(X_202,X_204))) = join(X_58,meet(X_204,meet(X_202,X_203))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_202,meet(X_203,X_204)),join(meet(X_202,meet(X_204,X_203)),X_58)),join(X_58,meet(X_204,meet(X_202,X_203)))) ),[0],$fot(join(X_58,meet(X_203,meet(X_202,X_204))))]]) ).
cnf(refute_0_920,plain,
( join(meet(X_202,meet(X_203,X_204)),join(meet(X_202,meet(X_204,X_203)),X_58)) != join(X_58,meet(X_204,meet(X_202,X_203)))
| join(X_58,meet(X_203,meet(X_202,X_204))) = join(X_58,meet(X_204,meet(X_202,X_203))) ),
inference(resolve,[$cnf( $equal(join(meet(X_202,meet(X_203,X_204)),join(meet(X_202,meet(X_204,X_203)),X_58)),join(X_58,meet(X_203,meet(X_202,X_204)))) )],[refute_0_918,refute_0_919]) ).
cnf(refute_0_921,plain,
join(X_58,meet(X_203,meet(X_202,X_204))) = join(X_58,meet(X_204,meet(X_202,X_203))),
inference(resolve,[$cnf( $equal(join(meet(X_202,meet(X_203,X_204)),join(meet(X_202,meet(X_204,X_203)),X_58)),join(X_58,meet(X_204,meet(X_202,X_203)))) )],[refute_0_917,refute_0_920]) ).
cnf(refute_0_922,plain,
( join(X_58,meet(X_203,meet(X_202,X_204))) != join(X_58,meet(X_204,meet(X_202,X_203)))
| join(X_58,meet(X_204,meet(X_202,X_203))) = join(X_58,meet(X_203,meet(X_202,X_204))) ),
inference(subst,[],[refute_0_16:[bind(X0,$fot(join(X_58,meet(X_203,meet(X_202,X_204))))),bind(Y0,$fot(join(X_58,meet(X_204,meet(X_202,X_203)))))]]) ).
cnf(refute_0_923,plain,
join(X_58,meet(X_204,meet(X_202,X_203))) = join(X_58,meet(X_203,meet(X_202,X_204))),
inference(resolve,[$cnf( $equal(join(X_58,meet(X_203,meet(X_202,X_204))),join(X_58,meet(X_204,meet(X_202,X_203)))) )],[refute_0_921,refute_0_922]) ).
cnf(refute_0_924,plain,
join(meet(X_114,X_209),meet(meet(X_114,X_209),meet(X_210,join(X_209,X_114)))) = join(meet(X_114,X_209),meet(join(X_209,X_114),meet(X_210,meet(X_114,X_209)))),
inference(subst,[],[refute_0_923:[bind(X_202,$fot(X_210)),bind(X_203,$fot(join(X_209,X_114))),bind(X_204,$fot(meet(X_114,X_209))),bind(X_58,$fot(meet(X_114,X_209)))]]) ).
cnf(refute_0_925,plain,
( join(meet(X_114,X_209),meet(join(X_209,X_114),meet(X_210,meet(X_114,X_209)))) != meet(X_114,X_209)
| join(meet(X_114,X_209),meet(meet(X_114,X_209),meet(X_210,join(X_209,X_114)))) != join(meet(X_114,X_209),meet(join(X_209,X_114),meet(X_210,meet(X_114,X_209))))
| join(meet(X_114,X_209),meet(meet(X_114,X_209),meet(X_210,join(X_209,X_114)))) = meet(X_114,X_209) ),
inference(subst,[],[refute_0_93:[bind(X0,$fot(join(meet(X_114,X_209),meet(meet(X_114,X_209),meet(X_210,join(X_209,X_114)))))),bind(Y0,$fot(join(meet(X_114,X_209),meet(join(X_209,X_114),meet(X_210,meet(X_114,X_209)))))),bind(Z0,$fot(meet(X_114,X_209)))]]) ).
cnf(refute_0_926,plain,
( join(meet(X_114,X_209),meet(join(X_209,X_114),meet(X_210,meet(X_114,X_209)))) != meet(X_114,X_209)
| join(meet(X_114,X_209),meet(meet(X_114,X_209),meet(X_210,join(X_209,X_114)))) = meet(X_114,X_209) ),
inference(resolve,[$cnf( $equal(join(meet(X_114,X_209),meet(meet(X_114,X_209),meet(X_210,join(X_209,X_114)))),join(meet(X_114,X_209),meet(join(X_209,X_114),meet(X_210,meet(X_114,X_209))))) )],[refute_0_924,refute_0_925]) ).
cnf(refute_0_927,plain,
join(meet(X_114,X_209),meet(meet(X_114,X_209),meet(X_210,join(X_209,X_114)))) = meet(X_114,X_209),
inference(resolve,[$cnf( $equal(join(meet(X_114,X_209),meet(join(X_209,X_114),meet(X_210,meet(X_114,X_209)))),meet(X_114,X_209)) )],[refute_0_913,refute_0_926]) ).
cnf(refute_0_928,plain,
join(meet(X_114,X_210),join(meet(X_114,X_209),meet(meet(X_114,X_209),meet(X_210,join(X_209,X_114))))) = join(meet(X_114,X_210),join(meet(X_114,X_209),meet(meet(X_114,X_209),meet(X_210,join(X_209,X_114))))),
introduced(tautology,[refl,[$fot(join(meet(X_114,X_210),join(meet(X_114,X_209),meet(meet(X_114,X_209),meet(X_210,join(X_209,X_114))))))]]) ).
cnf(refute_0_929,plain,
( join(meet(X_114,X_209),meet(meet(X_114,X_209),meet(X_210,join(X_209,X_114)))) != meet(X_114,X_209)
| join(meet(X_114,X_210),join(meet(X_114,X_209),meet(meet(X_114,X_209),meet(X_210,join(X_209,X_114))))) != join(meet(X_114,X_210),join(meet(X_114,X_209),meet(meet(X_114,X_209),meet(X_210,join(X_209,X_114)))))
| join(meet(X_114,X_210),join(meet(X_114,X_209),meet(meet(X_114,X_209),meet(X_210,join(X_209,X_114))))) = join(meet(X_114,X_210),meet(X_114,X_209)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_114,X_210),join(meet(X_114,X_209),meet(meet(X_114,X_209),meet(X_210,join(X_209,X_114))))),join(meet(X_114,X_210),join(meet(X_114,X_209),meet(meet(X_114,X_209),meet(X_210,join(X_209,X_114)))))) ),[1,1],$fot(meet(X_114,X_209))]]) ).
cnf(refute_0_930,plain,
( join(meet(X_114,X_209),meet(meet(X_114,X_209),meet(X_210,join(X_209,X_114)))) != meet(X_114,X_209)
| join(meet(X_114,X_210),join(meet(X_114,X_209),meet(meet(X_114,X_209),meet(X_210,join(X_209,X_114))))) = join(meet(X_114,X_210),meet(X_114,X_209)) ),
inference(resolve,[$cnf( $equal(join(meet(X_114,X_210),join(meet(X_114,X_209),meet(meet(X_114,X_209),meet(X_210,join(X_209,X_114))))),join(meet(X_114,X_210),join(meet(X_114,X_209),meet(meet(X_114,X_209),meet(X_210,join(X_209,X_114)))))) )],[refute_0_928,refute_0_929]) ).
cnf(refute_0_931,plain,
join(meet(X_114,X_210),join(meet(X_114,X_209),meet(meet(X_114,X_209),meet(X_210,join(X_209,X_114))))) = join(meet(X_114,X_210),meet(X_114,X_209)),
inference(resolve,[$cnf( $equal(join(meet(X_114,X_209),meet(meet(X_114,X_209),meet(X_210,join(X_209,X_114)))),meet(X_114,X_209)) )],[refute_0_927,refute_0_930]) ).
cnf(refute_0_932,plain,
meet(join(X_209,X_114),join(meet(X_114,X_210),join(meet(X_114,X_209),meet(meet(X_114,X_209),meet(X_210,join(X_209,X_114)))))) = meet(join(X_209,X_114),join(meet(X_114,X_210),join(meet(X_114,X_209),meet(meet(X_114,X_209),meet(X_210,join(X_209,X_114)))))),
introduced(tautology,[refl,[$fot(meet(join(X_209,X_114),join(meet(X_114,X_210),join(meet(X_114,X_209),meet(meet(X_114,X_209),meet(X_210,join(X_209,X_114)))))))]]) ).
cnf(refute_0_933,plain,
( join(meet(X_114,X_210),join(meet(X_114,X_209),meet(meet(X_114,X_209),meet(X_210,join(X_209,X_114))))) != join(meet(X_114,X_210),meet(X_114,X_209))
| meet(join(X_209,X_114),join(meet(X_114,X_210),join(meet(X_114,X_209),meet(meet(X_114,X_209),meet(X_210,join(X_209,X_114)))))) != meet(join(X_209,X_114),join(meet(X_114,X_210),join(meet(X_114,X_209),meet(meet(X_114,X_209),meet(X_210,join(X_209,X_114))))))
| meet(join(X_209,X_114),join(meet(X_114,X_210),join(meet(X_114,X_209),meet(meet(X_114,X_209),meet(X_210,join(X_209,X_114)))))) = meet(join(X_209,X_114),join(meet(X_114,X_210),meet(X_114,X_209))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_209,X_114),join(meet(X_114,X_210),join(meet(X_114,X_209),meet(meet(X_114,X_209),meet(X_210,join(X_209,X_114)))))),meet(join(X_209,X_114),join(meet(X_114,X_210),join(meet(X_114,X_209),meet(meet(X_114,X_209),meet(X_210,join(X_209,X_114))))))) ),[1,1],$fot(join(meet(X_114,X_210),meet(X_114,X_209)))]]) ).
cnf(refute_0_934,plain,
( join(meet(X_114,X_210),join(meet(X_114,X_209),meet(meet(X_114,X_209),meet(X_210,join(X_209,X_114))))) != join(meet(X_114,X_210),meet(X_114,X_209))
| meet(join(X_209,X_114),join(meet(X_114,X_210),join(meet(X_114,X_209),meet(meet(X_114,X_209),meet(X_210,join(X_209,X_114)))))) = meet(join(X_209,X_114),join(meet(X_114,X_210),meet(X_114,X_209))) ),
inference(resolve,[$cnf( $equal(meet(join(X_209,X_114),join(meet(X_114,X_210),join(meet(X_114,X_209),meet(meet(X_114,X_209),meet(X_210,join(X_209,X_114)))))),meet(join(X_209,X_114),join(meet(X_114,X_210),join(meet(X_114,X_209),meet(meet(X_114,X_209),meet(X_210,join(X_209,X_114))))))) )],[refute_0_932,refute_0_933]) ).
cnf(refute_0_935,plain,
meet(join(X_209,X_114),join(meet(X_114,X_210),join(meet(X_114,X_209),meet(meet(X_114,X_209),meet(X_210,join(X_209,X_114)))))) = meet(join(X_209,X_114),join(meet(X_114,X_210),meet(X_114,X_209))),
inference(resolve,[$cnf( $equal(join(meet(X_114,X_210),join(meet(X_114,X_209),meet(meet(X_114,X_209),meet(X_210,join(X_209,X_114))))),join(meet(X_114,X_210),meet(X_114,X_209))) )],[refute_0_931,refute_0_934]) ).
cnf(refute_0_936,plain,
( meet(join(X_209,X_114),join(meet(X_114,X_210),join(meet(X_114,X_209),meet(meet(X_114,X_209),meet(X_210,join(X_209,X_114)))))) != meet(join(X_209,X_114),join(meet(X_114,X_210),meet(X_114,X_209)))
| meet(join(X_209,X_114),join(meet(X_114,X_210),meet(X_114,X_209))) != join(meet(X_114,X_210),meet(X_114,X_209))
| meet(join(X_209,X_114),join(meet(X_114,X_210),join(meet(X_114,X_209),meet(meet(X_114,X_209),meet(X_210,join(X_209,X_114)))))) = join(meet(X_114,X_210),meet(X_114,X_209)) ),
inference(subst,[],[refute_0_93:[bind(X0,$fot(meet(join(X_209,X_114),join(meet(X_114,X_210),join(meet(X_114,X_209),meet(meet(X_114,X_209),meet(X_210,join(X_209,X_114)))))))),bind(Y0,$fot(meet(join(X_209,X_114),join(meet(X_114,X_210),meet(X_114,X_209))))),bind(Z0,$fot(join(meet(X_114,X_210),meet(X_114,X_209))))]]) ).
cnf(refute_0_937,plain,
( meet(join(X_209,X_114),join(meet(X_114,X_210),meet(X_114,X_209))) != join(meet(X_114,X_210),meet(X_114,X_209))
| meet(join(X_209,X_114),join(meet(X_114,X_210),join(meet(X_114,X_209),meet(meet(X_114,X_209),meet(X_210,join(X_209,X_114)))))) = join(meet(X_114,X_210),meet(X_114,X_209)) ),
inference(resolve,[$cnf( $equal(meet(join(X_209,X_114),join(meet(X_114,X_210),join(meet(X_114,X_209),meet(meet(X_114,X_209),meet(X_210,join(X_209,X_114)))))),meet(join(X_209,X_114),join(meet(X_114,X_210),meet(X_114,X_209)))) )],[refute_0_935,refute_0_936]) ).
cnf(refute_0_938,plain,
meet(join(X_209,X_114),join(meet(X_114,X_210),join(meet(X_114,X_209),meet(meet(X_114,X_209),meet(X_210,join(X_209,X_114)))))) = join(meet(X_114,X_210),meet(X_114,X_209)),
inference(resolve,[$cnf( $equal(meet(join(X_209,X_114),join(meet(X_114,X_210),meet(X_114,X_209))),join(meet(X_114,X_210),meet(X_114,X_209))) )],[refute_0_912,refute_0_937]) ).
cnf(refute_0_939,plain,
meet(X_210,meet(join(X_209,X_114),join(meet(X_114,X_210),join(meet(X_114,X_209),meet(meet(X_114,X_209),meet(X_210,join(X_209,X_114))))))) = meet(X_210,meet(join(X_209,X_114),join(meet(X_114,X_210),join(meet(X_114,X_209),meet(meet(X_114,X_209),meet(X_210,join(X_209,X_114))))))),
introduced(tautology,[refl,[$fot(meet(X_210,meet(join(X_209,X_114),join(meet(X_114,X_210),join(meet(X_114,X_209),meet(meet(X_114,X_209),meet(X_210,join(X_209,X_114))))))))]]) ).
cnf(refute_0_940,plain,
( meet(X_210,meet(join(X_209,X_114),join(meet(X_114,X_210),join(meet(X_114,X_209),meet(meet(X_114,X_209),meet(X_210,join(X_209,X_114))))))) != meet(X_210,meet(join(X_209,X_114),join(meet(X_114,X_210),join(meet(X_114,X_209),meet(meet(X_114,X_209),meet(X_210,join(X_209,X_114)))))))
| meet(join(X_209,X_114),join(meet(X_114,X_210),join(meet(X_114,X_209),meet(meet(X_114,X_209),meet(X_210,join(X_209,X_114)))))) != join(meet(X_114,X_210),meet(X_114,X_209))
| meet(X_210,meet(join(X_209,X_114),join(meet(X_114,X_210),join(meet(X_114,X_209),meet(meet(X_114,X_209),meet(X_210,join(X_209,X_114))))))) = meet(X_210,join(meet(X_114,X_210),meet(X_114,X_209))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_210,meet(join(X_209,X_114),join(meet(X_114,X_210),join(meet(X_114,X_209),meet(meet(X_114,X_209),meet(X_210,join(X_209,X_114))))))),meet(X_210,meet(join(X_209,X_114),join(meet(X_114,X_210),join(meet(X_114,X_209),meet(meet(X_114,X_209),meet(X_210,join(X_209,X_114)))))))) ),[1,1],$fot(join(meet(X_114,X_210),meet(X_114,X_209)))]]) ).
cnf(refute_0_941,plain,
( meet(join(X_209,X_114),join(meet(X_114,X_210),join(meet(X_114,X_209),meet(meet(X_114,X_209),meet(X_210,join(X_209,X_114)))))) != join(meet(X_114,X_210),meet(X_114,X_209))
| meet(X_210,meet(join(X_209,X_114),join(meet(X_114,X_210),join(meet(X_114,X_209),meet(meet(X_114,X_209),meet(X_210,join(X_209,X_114))))))) = meet(X_210,join(meet(X_114,X_210),meet(X_114,X_209))) ),
inference(resolve,[$cnf( $equal(meet(X_210,meet(join(X_209,X_114),join(meet(X_114,X_210),join(meet(X_114,X_209),meet(meet(X_114,X_209),meet(X_210,join(X_209,X_114))))))),meet(X_210,meet(join(X_209,X_114),join(meet(X_114,X_210),join(meet(X_114,X_209),meet(meet(X_114,X_209),meet(X_210,join(X_209,X_114)))))))) )],[refute_0_939,refute_0_940]) ).
cnf(refute_0_942,plain,
meet(X_210,meet(join(X_209,X_114),join(meet(X_114,X_210),join(meet(X_114,X_209),meet(meet(X_114,X_209),meet(X_210,join(X_209,X_114))))))) = meet(X_210,join(meet(X_114,X_210),meet(X_114,X_209))),
inference(resolve,[$cnf( $equal(meet(join(X_209,X_114),join(meet(X_114,X_210),join(meet(X_114,X_209),meet(meet(X_114,X_209),meet(X_210,join(X_209,X_114)))))),join(meet(X_114,X_210),meet(X_114,X_209))) )],[refute_0_938,refute_0_941]) ).
cnf(refute_0_943,plain,
meet(meet(X_210,join(X_209,X_114)),join(meet(X_114,X_210),join(meet(X_114,X_209),meet(meet(X_114,X_209),meet(X_210,join(X_209,X_114)))))) = meet(X_210,meet(join(X_209,X_114),join(meet(X_114,X_210),join(meet(X_114,X_209),meet(meet(X_114,X_209),meet(X_210,join(X_209,X_114))))))),
inference(subst,[],[associativity_of_meet:[bind(X,$fot(X_210)),bind(Y,$fot(join(X_209,X_114))),bind(Z,$fot(join(meet(X_114,X_210),join(meet(X_114,X_209),meet(meet(X_114,X_209),meet(X_210,join(X_209,X_114)))))))]]) ).
cnf(refute_0_944,plain,
meet(join(X_196,join(X_35,Y)),meet(X_197,join(join(X_35,Y),X_196))) = meet(X_197,join(join(X_35,Y),X_196)),
inference(subst,[],[refute_0_234:[bind(Y,$fot(join(X_35,Y))),bind(X_15,$fot(X_196)),bind(X_52,$fot(X_197))]]) ).
cnf(refute_0_945,plain,
join(X_196,join(Y,X_35)) = join(X_196,join(X_35,Y)),
inference(subst,[],[refute_0_855:[bind(X_34,$fot(X_196))]]) ).
cnf(refute_0_946,plain,
( join(X_196,join(Y,X_35)) != join(X_196,join(X_35,Y))
| join(X_196,join(X_35,Y)) = join(X_196,join(Y,X_35)) ),
inference(subst,[],[refute_0_16:[bind(X0,$fot(join(X_196,join(Y,X_35)))),bind(Y0,$fot(join(X_196,join(X_35,Y))))]]) ).
cnf(refute_0_947,plain,
join(X_196,join(X_35,Y)) = join(X_196,join(Y,X_35)),
inference(resolve,[$cnf( $equal(join(X_196,join(Y,X_35)),join(X_196,join(X_35,Y))) )],[refute_0_945,refute_0_946]) ).
cnf(refute_0_948,plain,
( join(X_196,join(X_35,Y)) != join(X_196,join(Y,X_35))
| meet(join(X_196,join(X_35,Y)),meet(X_197,join(join(X_35,Y),X_196))) != meet(X_197,join(join(X_35,Y),X_196))
| meet(join(X_196,join(Y,X_35)),meet(X_197,join(join(X_35,Y),X_196))) = meet(X_197,join(join(X_35,Y),X_196)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_196,join(X_35,Y)),meet(X_197,join(join(X_35,Y),X_196))),meet(X_197,join(join(X_35,Y),X_196))) ),[0,0],$fot(join(X_196,join(Y,X_35)))]]) ).
cnf(refute_0_949,plain,
( meet(join(X_196,join(X_35,Y)),meet(X_197,join(join(X_35,Y),X_196))) != meet(X_197,join(join(X_35,Y),X_196))
| meet(join(X_196,join(Y,X_35)),meet(X_197,join(join(X_35,Y),X_196))) = meet(X_197,join(join(X_35,Y),X_196)) ),
inference(resolve,[$cnf( $equal(join(X_196,join(X_35,Y)),join(X_196,join(Y,X_35))) )],[refute_0_947,refute_0_948]) ).
cnf(refute_0_950,plain,
meet(join(X_196,join(Y,X_35)),meet(X_197,join(join(X_35,Y),X_196))) = meet(X_197,join(join(X_35,Y),X_196)),
inference(resolve,[$cnf( $equal(meet(join(X_196,join(X_35,Y)),meet(X_197,join(join(X_35,Y),X_196))),meet(X_197,join(join(X_35,Y),X_196))) )],[refute_0_944,refute_0_949]) ).
cnf(refute_0_951,plain,
meet(join(join(X_35,Y),X_195),meet(X_197,join(X_195,join(X_35,Y)))) = meet(X_197,join(X_195,join(X_35,Y))),
inference(subst,[],[refute_0_234:[bind(Y,$fot(X_195)),bind(X_15,$fot(join(X_35,Y))),bind(X_52,$fot(X_197))]]) ).
cnf(refute_0_952,plain,
join(X_195,join(Y,X_35)) = join(X_195,join(X_35,Y)),
inference(subst,[],[refute_0_855:[bind(X_34,$fot(X_195))]]) ).
cnf(refute_0_953,plain,
( join(X_195,join(Y,X_35)) != join(X_195,join(X_35,Y))
| join(X_195,join(X_35,Y)) = join(X_195,join(Y,X_35)) ),
inference(subst,[],[refute_0_16:[bind(X0,$fot(join(X_195,join(Y,X_35)))),bind(Y0,$fot(join(X_195,join(X_35,Y))))]]) ).
cnf(refute_0_954,plain,
join(X_195,join(X_35,Y)) = join(X_195,join(Y,X_35)),
inference(resolve,[$cnf( $equal(join(X_195,join(Y,X_35)),join(X_195,join(X_35,Y))) )],[refute_0_952,refute_0_953]) ).
cnf(refute_0_955,plain,
( join(X_195,join(X_35,Y)) != join(X_195,join(Y,X_35))
| meet(join(join(X_35,Y),X_195),meet(X_197,join(X_195,join(X_35,Y)))) != meet(X_197,join(X_195,join(X_35,Y)))
| meet(join(join(X_35,Y),X_195),meet(X_197,join(X_195,join(Y,X_35)))) = meet(X_197,join(X_195,join(X_35,Y))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(join(X_35,Y),X_195),meet(X_197,join(X_195,join(X_35,Y)))),meet(X_197,join(X_195,join(X_35,Y)))) ),[0,1,1],$fot(join(X_195,join(Y,X_35)))]]) ).
cnf(refute_0_956,plain,
( meet(join(join(X_35,Y),X_195),meet(X_197,join(X_195,join(X_35,Y)))) != meet(X_197,join(X_195,join(X_35,Y)))
| meet(join(join(X_35,Y),X_195),meet(X_197,join(X_195,join(Y,X_35)))) = meet(X_197,join(X_195,join(X_35,Y))) ),
inference(resolve,[$cnf( $equal(join(X_195,join(X_35,Y)),join(X_195,join(Y,X_35))) )],[refute_0_954,refute_0_955]) ).
cnf(refute_0_957,plain,
meet(join(join(X_35,Y),X_195),meet(X_197,join(X_195,join(Y,X_35)))) = meet(X_197,join(X_195,join(X_35,Y))),
inference(resolve,[$cnf( $equal(meet(join(join(X_35,Y),X_195),meet(X_197,join(X_195,join(X_35,Y)))),meet(X_197,join(X_195,join(X_35,Y)))) )],[refute_0_951,refute_0_956]) ).
cnf(refute_0_958,plain,
join(join(X_35,Y),X_195) = join(X_35,join(Y,X_195)),
inference(subst,[],[associativity_of_join:[bind(X,$fot(X_35)),bind(Z,$fot(X_195))]]) ).
cnf(refute_0_959,plain,
meet(join(join(X_35,Y),X_195),meet(X_197,join(X_195,join(Y,X_35)))) = meet(join(join(X_35,Y),X_195),meet(X_197,join(X_195,join(Y,X_35)))),
introduced(tautology,[refl,[$fot(meet(join(join(X_35,Y),X_195),meet(X_197,join(X_195,join(Y,X_35)))))]]) ).
cnf(refute_0_960,plain,
( join(join(X_35,Y),X_195) != join(X_35,join(Y,X_195))
| meet(join(join(X_35,Y),X_195),meet(X_197,join(X_195,join(Y,X_35)))) != meet(join(join(X_35,Y),X_195),meet(X_197,join(X_195,join(Y,X_35))))
| meet(join(join(X_35,Y),X_195),meet(X_197,join(X_195,join(Y,X_35)))) = meet(join(X_35,join(Y,X_195)),meet(X_197,join(X_195,join(Y,X_35)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(join(X_35,Y),X_195),meet(X_197,join(X_195,join(Y,X_35)))),meet(join(join(X_35,Y),X_195),meet(X_197,join(X_195,join(Y,X_35))))) ),[1,0],$fot(join(X_35,join(Y,X_195)))]]) ).
cnf(refute_0_961,plain,
( join(join(X_35,Y),X_195) != join(X_35,join(Y,X_195))
| meet(join(join(X_35,Y),X_195),meet(X_197,join(X_195,join(Y,X_35)))) = meet(join(X_35,join(Y,X_195)),meet(X_197,join(X_195,join(Y,X_35)))) ),
inference(resolve,[$cnf( $equal(meet(join(join(X_35,Y),X_195),meet(X_197,join(X_195,join(Y,X_35)))),meet(join(join(X_35,Y),X_195),meet(X_197,join(X_195,join(Y,X_35))))) )],[refute_0_959,refute_0_960]) ).
cnf(refute_0_962,plain,
meet(join(join(X_35,Y),X_195),meet(X_197,join(X_195,join(Y,X_35)))) = meet(join(X_35,join(Y,X_195)),meet(X_197,join(X_195,join(Y,X_35)))),
inference(resolve,[$cnf( $equal(join(join(X_35,Y),X_195),join(X_35,join(Y,X_195))) )],[refute_0_958,refute_0_961]) ).
cnf(refute_0_963,plain,
( meet(join(join(X_35,Y),X_195),meet(X_197,join(X_195,join(Y,X_35)))) != meet(X_197,join(X_195,join(X_35,Y)))
| meet(join(join(X_35,Y),X_195),meet(X_197,join(X_195,join(Y,X_35)))) != meet(join(X_35,join(Y,X_195)),meet(X_197,join(X_195,join(Y,X_35))))
| meet(join(X_35,join(Y,X_195)),meet(X_197,join(X_195,join(Y,X_35)))) = meet(X_197,join(X_195,join(X_35,Y))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(join(X_35,Y),X_195),meet(X_197,join(X_195,join(Y,X_35)))),meet(X_197,join(X_195,join(X_35,Y)))) ),[0],$fot(meet(join(X_35,join(Y,X_195)),meet(X_197,join(X_195,join(Y,X_35)))))]]) ).
cnf(refute_0_964,plain,
( meet(join(join(X_35,Y),X_195),meet(X_197,join(X_195,join(Y,X_35)))) != meet(X_197,join(X_195,join(X_35,Y)))
| meet(join(X_35,join(Y,X_195)),meet(X_197,join(X_195,join(Y,X_35)))) = meet(X_197,join(X_195,join(X_35,Y))) ),
inference(resolve,[$cnf( $equal(meet(join(join(X_35,Y),X_195),meet(X_197,join(X_195,join(Y,X_35)))),meet(join(X_35,join(Y,X_195)),meet(X_197,join(X_195,join(Y,X_35))))) )],[refute_0_962,refute_0_963]) ).
cnf(refute_0_965,plain,
meet(join(X_35,join(Y,X_195)),meet(X_197,join(X_195,join(Y,X_35)))) = meet(X_197,join(X_195,join(X_35,Y))),
inference(resolve,[$cnf( $equal(meet(join(join(X_35,Y),X_195),meet(X_197,join(X_195,join(Y,X_35)))),meet(X_197,join(X_195,join(X_35,Y)))) )],[refute_0_957,refute_0_964]) ).
cnf(refute_0_966,plain,
meet(join(X_196,join(Y,X_35)),meet(X_197,join(X_35,join(Y,X_196)))) = meet(X_197,join(X_35,join(X_196,Y))),
inference(subst,[],[refute_0_965:[bind(X_195,$fot(X_35)),bind(X_35,$fot(X_196))]]) ).
cnf(refute_0_967,plain,
join(join(X_35,Y),X_196) = join(X_35,join(Y,X_196)),
inference(subst,[],[associativity_of_join:[bind(X,$fot(X_35)),bind(Z,$fot(X_196))]]) ).
cnf(refute_0_968,plain,
meet(X_197,join(join(X_35,Y),X_196)) = meet(X_197,join(join(X_35,Y),X_196)),
introduced(tautology,[refl,[$fot(meet(X_197,join(join(X_35,Y),X_196)))]]) ).
cnf(refute_0_969,plain,
( join(join(X_35,Y),X_196) != join(X_35,join(Y,X_196))
| meet(X_197,join(join(X_35,Y),X_196)) != meet(X_197,join(join(X_35,Y),X_196))
| meet(X_197,join(join(X_35,Y),X_196)) = meet(X_197,join(X_35,join(Y,X_196))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_197,join(join(X_35,Y),X_196)),meet(X_197,join(join(X_35,Y),X_196))) ),[1,1],$fot(join(X_35,join(Y,X_196)))]]) ).
cnf(refute_0_970,plain,
( join(join(X_35,Y),X_196) != join(X_35,join(Y,X_196))
| meet(X_197,join(join(X_35,Y),X_196)) = meet(X_197,join(X_35,join(Y,X_196))) ),
inference(resolve,[$cnf( $equal(meet(X_197,join(join(X_35,Y),X_196)),meet(X_197,join(join(X_35,Y),X_196))) )],[refute_0_968,refute_0_969]) ).
cnf(refute_0_971,plain,
meet(X_197,join(join(X_35,Y),X_196)) = meet(X_197,join(X_35,join(Y,X_196))),
inference(resolve,[$cnf( $equal(join(join(X_35,Y),X_196),join(X_35,join(Y,X_196))) )],[refute_0_967,refute_0_970]) ).
cnf(refute_0_972,plain,
meet(join(X_196,join(Y,X_35)),meet(X_197,join(join(X_35,Y),X_196))) = meet(join(X_196,join(Y,X_35)),meet(X_197,join(join(X_35,Y),X_196))),
introduced(tautology,[refl,[$fot(meet(join(X_196,join(Y,X_35)),meet(X_197,join(join(X_35,Y),X_196))))]]) ).
cnf(refute_0_973,plain,
( meet(X_197,join(join(X_35,Y),X_196)) != meet(X_197,join(X_35,join(Y,X_196)))
| meet(join(X_196,join(Y,X_35)),meet(X_197,join(join(X_35,Y),X_196))) != meet(join(X_196,join(Y,X_35)),meet(X_197,join(join(X_35,Y),X_196)))
| meet(join(X_196,join(Y,X_35)),meet(X_197,join(join(X_35,Y),X_196))) = meet(join(X_196,join(Y,X_35)),meet(X_197,join(X_35,join(Y,X_196)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_196,join(Y,X_35)),meet(X_197,join(join(X_35,Y),X_196))),meet(join(X_196,join(Y,X_35)),meet(X_197,join(join(X_35,Y),X_196)))) ),[1,1],$fot(meet(X_197,join(X_35,join(Y,X_196))))]]) ).
cnf(refute_0_974,plain,
( meet(X_197,join(join(X_35,Y),X_196)) != meet(X_197,join(X_35,join(Y,X_196)))
| meet(join(X_196,join(Y,X_35)),meet(X_197,join(join(X_35,Y),X_196))) = meet(join(X_196,join(Y,X_35)),meet(X_197,join(X_35,join(Y,X_196)))) ),
inference(resolve,[$cnf( $equal(meet(join(X_196,join(Y,X_35)),meet(X_197,join(join(X_35,Y),X_196))),meet(join(X_196,join(Y,X_35)),meet(X_197,join(join(X_35,Y),X_196)))) )],[refute_0_972,refute_0_973]) ).
cnf(refute_0_975,plain,
meet(join(X_196,join(Y,X_35)),meet(X_197,join(join(X_35,Y),X_196))) = meet(join(X_196,join(Y,X_35)),meet(X_197,join(X_35,join(Y,X_196)))),
inference(resolve,[$cnf( $equal(meet(X_197,join(join(X_35,Y),X_196)),meet(X_197,join(X_35,join(Y,X_196)))) )],[refute_0_971,refute_0_974]) ).
cnf(refute_0_976,plain,
( meet(join(X_196,join(Y,X_35)),meet(X_197,join(X_35,join(Y,X_196)))) != meet(X_197,join(X_35,join(X_196,Y)))
| meet(join(X_196,join(Y,X_35)),meet(X_197,join(join(X_35,Y),X_196))) != meet(join(X_196,join(Y,X_35)),meet(X_197,join(X_35,join(Y,X_196))))
| meet(join(X_196,join(Y,X_35)),meet(X_197,join(join(X_35,Y),X_196))) = meet(X_197,join(X_35,join(X_196,Y))) ),
inference(subst,[],[refute_0_93:[bind(X0,$fot(meet(join(X_196,join(Y,X_35)),meet(X_197,join(join(X_35,Y),X_196))))),bind(Y0,$fot(meet(join(X_196,join(Y,X_35)),meet(X_197,join(X_35,join(Y,X_196)))))),bind(Z0,$fot(meet(X_197,join(X_35,join(X_196,Y)))))]]) ).
cnf(refute_0_977,plain,
( meet(join(X_196,join(Y,X_35)),meet(X_197,join(X_35,join(Y,X_196)))) != meet(X_197,join(X_35,join(X_196,Y)))
| meet(join(X_196,join(Y,X_35)),meet(X_197,join(join(X_35,Y),X_196))) = meet(X_197,join(X_35,join(X_196,Y))) ),
inference(resolve,[$cnf( $equal(meet(join(X_196,join(Y,X_35)),meet(X_197,join(join(X_35,Y),X_196))),meet(join(X_196,join(Y,X_35)),meet(X_197,join(X_35,join(Y,X_196))))) )],[refute_0_975,refute_0_976]) ).
cnf(refute_0_978,plain,
meet(join(X_196,join(Y,X_35)),meet(X_197,join(join(X_35,Y),X_196))) = meet(X_197,join(X_35,join(X_196,Y))),
inference(resolve,[$cnf( $equal(meet(join(X_196,join(Y,X_35)),meet(X_197,join(X_35,join(Y,X_196)))),meet(X_197,join(X_35,join(X_196,Y)))) )],[refute_0_966,refute_0_977]) ).
cnf(refute_0_979,plain,
( meet(join(X_196,join(Y,X_35)),meet(X_197,join(join(X_35,Y),X_196))) != meet(X_197,join(X_35,join(X_196,Y)))
| meet(join(X_196,join(Y,X_35)),meet(X_197,join(join(X_35,Y),X_196))) != meet(X_197,join(join(X_35,Y),X_196))
| meet(X_197,join(X_35,join(X_196,Y))) = meet(X_197,join(join(X_35,Y),X_196)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_196,join(Y,X_35)),meet(X_197,join(join(X_35,Y),X_196))),meet(X_197,join(join(X_35,Y),X_196))) ),[0],$fot(meet(X_197,join(X_35,join(X_196,Y))))]]) ).
cnf(refute_0_980,plain,
( meet(join(X_196,join(Y,X_35)),meet(X_197,join(join(X_35,Y),X_196))) != meet(X_197,join(join(X_35,Y),X_196))
| meet(X_197,join(X_35,join(X_196,Y))) = meet(X_197,join(join(X_35,Y),X_196)) ),
inference(resolve,[$cnf( $equal(meet(join(X_196,join(Y,X_35)),meet(X_197,join(join(X_35,Y),X_196))),meet(X_197,join(X_35,join(X_196,Y)))) )],[refute_0_978,refute_0_979]) ).
cnf(refute_0_981,plain,
( meet(X_197,join(X_35,join(X_196,Y))) != meet(X_197,join(join(X_35,Y),X_196))
| meet(X_197,join(join(X_35,Y),X_196)) != meet(X_197,join(X_35,join(Y,X_196)))
| meet(X_197,join(X_35,join(X_196,Y))) = meet(X_197,join(X_35,join(Y,X_196))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(meet(X_197,join(X_35,join(X_196,Y))),meet(X_197,join(X_35,join(Y,X_196)))) ),[0],$fot(meet(X_197,join(join(X_35,Y),X_196)))]]) ).
cnf(refute_0_982,plain,
( meet(X_197,join(X_35,join(X_196,Y))) != meet(X_197,join(join(X_35,Y),X_196))
| meet(X_197,join(X_35,join(X_196,Y))) = meet(X_197,join(X_35,join(Y,X_196))) ),
inference(resolve,[$cnf( $equal(meet(X_197,join(join(X_35,Y),X_196)),meet(X_197,join(X_35,join(Y,X_196)))) )],[refute_0_971,refute_0_981]) ).
cnf(refute_0_983,plain,
( meet(join(X_196,join(Y,X_35)),meet(X_197,join(join(X_35,Y),X_196))) != meet(X_197,join(join(X_35,Y),X_196))
| meet(X_197,join(X_35,join(X_196,Y))) = meet(X_197,join(X_35,join(Y,X_196))) ),
inference(resolve,[$cnf( $equal(meet(X_197,join(X_35,join(X_196,Y))),meet(X_197,join(join(X_35,Y),X_196))) )],[refute_0_980,refute_0_982]) ).
cnf(refute_0_984,plain,
meet(X_197,join(X_35,join(X_196,Y))) = meet(X_197,join(X_35,join(Y,X_196))),
inference(resolve,[$cnf( $equal(meet(join(X_196,join(Y,X_35)),meet(X_197,join(join(X_35,Y),X_196))),meet(X_197,join(join(X_35,Y),X_196))) )],[refute_0_950,refute_0_983]) ).
cnf(refute_0_985,plain,
( meet(X_197,join(X_35,join(X_196,Y))) != meet(X_197,join(X_35,join(Y,X_196)))
| meet(X_197,join(X_35,join(Y,X_196))) = meet(X_197,join(X_35,join(X_196,Y))) ),
inference(subst,[],[refute_0_16:[bind(X0,$fot(meet(X_197,join(X_35,join(X_196,Y))))),bind(Y0,$fot(meet(X_197,join(X_35,join(Y,X_196)))))]]) ).
cnf(refute_0_986,plain,
meet(X_197,join(X_35,join(Y,X_196))) = meet(X_197,join(X_35,join(X_196,Y))),
inference(resolve,[$cnf( $equal(meet(X_197,join(X_35,join(X_196,Y))),meet(X_197,join(X_35,join(Y,X_196)))) )],[refute_0_984,refute_0_985]) ).
cnf(refute_0_987,plain,
meet(meet(X_210,join(X_209,X_114)),join(meet(X_114,X_210),join(meet(meet(X_114,X_209),meet(X_210,join(X_209,X_114))),meet(X_114,X_209)))) = meet(meet(X_210,join(X_209,X_114)),join(meet(X_114,X_210),join(meet(X_114,X_209),meet(meet(X_114,X_209),meet(X_210,join(X_209,X_114)))))),
inference(subst,[],[refute_0_986:[bind(Y,$fot(meet(meet(X_114,X_209),meet(X_210,join(X_209,X_114))))),bind(X_196,$fot(meet(X_114,X_209))),bind(X_197,$fot(meet(X_210,join(X_209,X_114)))),bind(X_35,$fot(meet(X_114,X_210)))]]) ).
cnf(refute_0_988,plain,
( meet(meet(X_210,join(X_209,X_114)),join(meet(X_114,X_210),join(meet(X_114,X_209),meet(meet(X_114,X_209),meet(X_210,join(X_209,X_114)))))) != meet(X_210,meet(join(X_209,X_114),join(meet(X_114,X_210),join(meet(X_114,X_209),meet(meet(X_114,X_209),meet(X_210,join(X_209,X_114)))))))
| meet(meet(X_210,join(X_209,X_114)),join(meet(X_114,X_210),join(meet(meet(X_114,X_209),meet(X_210,join(X_209,X_114))),meet(X_114,X_209)))) != meet(meet(X_210,join(X_209,X_114)),join(meet(X_114,X_210),join(meet(X_114,X_209),meet(meet(X_114,X_209),meet(X_210,join(X_209,X_114))))))
| meet(meet(X_210,join(X_209,X_114)),join(meet(X_114,X_210),join(meet(meet(X_114,X_209),meet(X_210,join(X_209,X_114))),meet(X_114,X_209)))) = meet(X_210,meet(join(X_209,X_114),join(meet(X_114,X_210),join(meet(X_114,X_209),meet(meet(X_114,X_209),meet(X_210,join(X_209,X_114))))))) ),
inference(subst,[],[refute_0_93:[bind(X0,$fot(meet(meet(X_210,join(X_209,X_114)),join(meet(X_114,X_210),join(meet(meet(X_114,X_209),meet(X_210,join(X_209,X_114))),meet(X_114,X_209)))))),bind(Y0,$fot(meet(meet(X_210,join(X_209,X_114)),join(meet(X_114,X_210),join(meet(X_114,X_209),meet(meet(X_114,X_209),meet(X_210,join(X_209,X_114)))))))),bind(Z0,$fot(meet(X_210,meet(join(X_209,X_114),join(meet(X_114,X_210),join(meet(X_114,X_209),meet(meet(X_114,X_209),meet(X_210,join(X_209,X_114)))))))))]]) ).
cnf(refute_0_989,plain,
( meet(meet(X_210,join(X_209,X_114)),join(meet(X_114,X_210),join(meet(X_114,X_209),meet(meet(X_114,X_209),meet(X_210,join(X_209,X_114)))))) != meet(X_210,meet(join(X_209,X_114),join(meet(X_114,X_210),join(meet(X_114,X_209),meet(meet(X_114,X_209),meet(X_210,join(X_209,X_114)))))))
| meet(meet(X_210,join(X_209,X_114)),join(meet(X_114,X_210),join(meet(meet(X_114,X_209),meet(X_210,join(X_209,X_114))),meet(X_114,X_209)))) = meet(X_210,meet(join(X_209,X_114),join(meet(X_114,X_210),join(meet(X_114,X_209),meet(meet(X_114,X_209),meet(X_210,join(X_209,X_114))))))) ),
inference(resolve,[$cnf( $equal(meet(meet(X_210,join(X_209,X_114)),join(meet(X_114,X_210),join(meet(meet(X_114,X_209),meet(X_210,join(X_209,X_114))),meet(X_114,X_209)))),meet(meet(X_210,join(X_209,X_114)),join(meet(X_114,X_210),join(meet(X_114,X_209),meet(meet(X_114,X_209),meet(X_210,join(X_209,X_114))))))) )],[refute_0_987,refute_0_988]) ).
cnf(refute_0_990,plain,
meet(meet(X_210,join(X_209,X_114)),join(meet(X_114,X_210),join(meet(meet(X_114,X_209),meet(X_210,join(X_209,X_114))),meet(X_114,X_209)))) = meet(X_210,meet(join(X_209,X_114),join(meet(X_114,X_210),join(meet(X_114,X_209),meet(meet(X_114,X_209),meet(X_210,join(X_209,X_114))))))),
inference(resolve,[$cnf( $equal(meet(meet(X_210,join(X_209,X_114)),join(meet(X_114,X_210),join(meet(X_114,X_209),meet(meet(X_114,X_209),meet(X_210,join(X_209,X_114)))))),meet(X_210,meet(join(X_209,X_114),join(meet(X_114,X_210),join(meet(X_114,X_209),meet(meet(X_114,X_209),meet(X_210,join(X_209,X_114)))))))) )],[refute_0_943,refute_0_989]) ).
cnf(refute_0_991,plain,
join(meet(X_202,meet(join(Y,join(X_30,X_31)),join(X_30,join(X_31,Y)))),meet(X_202,meet(join(X_30,join(X_31,Y)),join(Y,join(X_30,X_31))))) = meet(join(Y,join(X_30,X_31)),meet(X_202,join(X_30,join(X_31,Y)))),
inference(subst,[],[refute_0_283:[bind(X_23,$fot(X_202)),bind(X_24,$fot(join(X_30,join(X_31,Y)))),bind(X_70,$fot(join(Y,join(X_30,X_31))))]]) ).
cnf(refute_0_992,plain,
( join(meet(X_202,meet(join(Y,join(X_30,X_31)),join(X_30,join(X_31,Y)))),meet(X_202,meet(join(X_30,join(X_31,Y)),join(Y,join(X_30,X_31))))) != meet(join(Y,join(X_30,X_31)),meet(X_202,join(X_30,join(X_31,Y))))
| meet(join(Y,join(X_30,X_31)),join(X_30,join(X_31,Y))) != join(Y,join(X_30,X_31))
| join(meet(X_202,join(Y,join(X_30,X_31))),meet(X_202,meet(join(X_30,join(X_31,Y)),join(Y,join(X_30,X_31))))) = meet(join(Y,join(X_30,X_31)),meet(X_202,join(X_30,join(X_31,Y)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_202,meet(join(Y,join(X_30,X_31)),join(X_30,join(X_31,Y)))),meet(X_202,meet(join(X_30,join(X_31,Y)),join(Y,join(X_30,X_31))))),meet(join(Y,join(X_30,X_31)),meet(X_202,join(X_30,join(X_31,Y))))) ),[0,0,1],$fot(join(Y,join(X_30,X_31)))]]) ).
cnf(refute_0_993,plain,
( join(meet(X_202,meet(join(Y,join(X_30,X_31)),join(X_30,join(X_31,Y)))),meet(X_202,meet(join(X_30,join(X_31,Y)),join(Y,join(X_30,X_31))))) != meet(join(Y,join(X_30,X_31)),meet(X_202,join(X_30,join(X_31,Y))))
| join(meet(X_202,join(Y,join(X_30,X_31))),meet(X_202,meet(join(X_30,join(X_31,Y)),join(Y,join(X_30,X_31))))) = meet(join(Y,join(X_30,X_31)),meet(X_202,join(X_30,join(X_31,Y)))) ),
inference(resolve,[$cnf( $equal(meet(join(Y,join(X_30,X_31)),join(X_30,join(X_31,Y))),join(Y,join(X_30,X_31))) )],[refute_0_412,refute_0_992]) ).
cnf(refute_0_994,plain,
join(meet(X_202,join(Y,join(X_30,X_31))),meet(X_202,meet(join(X_30,join(X_31,Y)),join(Y,join(X_30,X_31))))) = meet(join(Y,join(X_30,X_31)),meet(X_202,join(X_30,join(X_31,Y)))),
inference(resolve,[$cnf( $equal(join(meet(X_202,meet(join(Y,join(X_30,X_31)),join(X_30,join(X_31,Y)))),meet(X_202,meet(join(X_30,join(X_31,Y)),join(Y,join(X_30,X_31))))),meet(join(Y,join(X_30,X_31)),meet(X_202,join(X_30,join(X_31,Y))))) )],[refute_0_991,refute_0_993]) ).
cnf(refute_0_995,plain,
join(meet(X_54,X_56),meet(Y,meet(X_54,X_56))) = meet(X_54,X_56),
inference(subst,[],[refute_0_25:[bind(X,$fot(meet(X_54,X_56)))]]) ).
cnf(refute_0_996,plain,
( join(meet(X_54,X_56),meet(Y,meet(X_54,X_56))) != meet(X_54,X_56)
| meet(Y,meet(X_54,X_56)) != meet(X_54,meet(Y,X_56))
| join(meet(X_54,X_56),meet(X_54,meet(Y,X_56))) = meet(X_54,X_56) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_54,X_56),meet(Y,meet(X_54,X_56))),meet(X_54,X_56)) ),[0,1],$fot(meet(X_54,meet(Y,X_56)))]]) ).
cnf(refute_0_997,plain,
( join(meet(X_54,X_56),meet(Y,meet(X_54,X_56))) != meet(X_54,X_56)
| join(meet(X_54,X_56),meet(X_54,meet(Y,X_56))) = meet(X_54,X_56) ),
inference(resolve,[$cnf( $equal(meet(Y,meet(X_54,X_56)),meet(X_54,meet(Y,X_56))) )],[refute_0_636,refute_0_996]) ).
cnf(refute_0_998,plain,
join(meet(X_54,X_56),meet(X_54,meet(Y,X_56))) = meet(X_54,X_56),
inference(resolve,[$cnf( $equal(join(meet(X_54,X_56),meet(Y,meet(X_54,X_56))),meet(X_54,X_56)) )],[refute_0_995,refute_0_997]) ).
cnf(refute_0_999,plain,
join(meet(X_202,join(Y,join(X_30,X_31))),meet(X_202,meet(join(X_30,join(X_31,Y)),join(Y,join(X_30,X_31))))) = meet(X_202,join(Y,join(X_30,X_31))),
inference(subst,[],[refute_0_998:[bind(Y,$fot(join(X_30,join(X_31,Y)))),bind(X_54,$fot(X_202)),bind(X_56,$fot(join(Y,join(X_30,X_31))))]]) ).
cnf(refute_0_1000,plain,
( join(meet(X_202,join(Y,join(X_30,X_31))),meet(X_202,meet(join(X_30,join(X_31,Y)),join(Y,join(X_30,X_31))))) != meet(X_202,join(Y,join(X_30,X_31)))
| join(meet(X_202,join(Y,join(X_30,X_31))),meet(X_202,meet(join(X_30,join(X_31,Y)),join(Y,join(X_30,X_31))))) != meet(join(Y,join(X_30,X_31)),meet(X_202,join(X_30,join(X_31,Y))))
| meet(X_202,join(Y,join(X_30,X_31))) = meet(join(Y,join(X_30,X_31)),meet(X_202,join(X_30,join(X_31,Y)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_202,join(Y,join(X_30,X_31))),meet(X_202,meet(join(X_30,join(X_31,Y)),join(Y,join(X_30,X_31))))),meet(join(Y,join(X_30,X_31)),meet(X_202,join(X_30,join(X_31,Y))))) ),[0],$fot(meet(X_202,join(Y,join(X_30,X_31))))]]) ).
cnf(refute_0_1001,plain,
( join(meet(X_202,join(Y,join(X_30,X_31))),meet(X_202,meet(join(X_30,join(X_31,Y)),join(Y,join(X_30,X_31))))) != meet(join(Y,join(X_30,X_31)),meet(X_202,join(X_30,join(X_31,Y))))
| meet(X_202,join(Y,join(X_30,X_31))) = meet(join(Y,join(X_30,X_31)),meet(X_202,join(X_30,join(X_31,Y)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_202,join(Y,join(X_30,X_31))),meet(X_202,meet(join(X_30,join(X_31,Y)),join(Y,join(X_30,X_31))))),meet(X_202,join(Y,join(X_30,X_31)))) )],[refute_0_999,refute_0_1000]) ).
cnf(refute_0_1002,plain,
meet(join(X_164,join(X_165,X_166)),meet(X_22,join(X_165,join(X_166,X_164)))) = meet(X_22,meet(join(X_165,join(X_166,X_164)),join(X_164,join(X_165,X_166)))),
inference(subst,[],[refute_0_230:[bind(X,$fot(join(X_164,join(X_165,X_166)))),bind(X_23,$fot(join(X_165,join(X_166,X_164))))]]) ).
cnf(refute_0_1003,plain,
meet(join(X_165,join(X_166,X_164)),join(X_164,join(X_165,X_166))) = join(X_165,join(X_166,X_164)),
inference(subst,[],[refute_0_403:[bind(X_15,$fot(X_164)),bind(X_30,$fot(X_165)),bind(X_31,$fot(X_166))]]) ).
cnf(refute_0_1004,plain,
( meet(join(X_164,join(X_165,X_166)),meet(X_22,join(X_165,join(X_166,X_164)))) != meet(X_22,meet(join(X_165,join(X_166,X_164)),join(X_164,join(X_165,X_166))))
| meet(join(X_165,join(X_166,X_164)),join(X_164,join(X_165,X_166))) != join(X_165,join(X_166,X_164))
| meet(join(X_164,join(X_165,X_166)),meet(X_22,join(X_165,join(X_166,X_164)))) = meet(X_22,join(X_165,join(X_166,X_164))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_164,join(X_165,X_166)),meet(X_22,join(X_165,join(X_166,X_164)))),meet(X_22,meet(join(X_165,join(X_166,X_164)),join(X_164,join(X_165,X_166))))) ),[1,1],$fot(join(X_165,join(X_166,X_164)))]]) ).
cnf(refute_0_1005,plain,
( meet(join(X_164,join(X_165,X_166)),meet(X_22,join(X_165,join(X_166,X_164)))) != meet(X_22,meet(join(X_165,join(X_166,X_164)),join(X_164,join(X_165,X_166))))
| meet(join(X_164,join(X_165,X_166)),meet(X_22,join(X_165,join(X_166,X_164)))) = meet(X_22,join(X_165,join(X_166,X_164))) ),
inference(resolve,[$cnf( $equal(meet(join(X_165,join(X_166,X_164)),join(X_164,join(X_165,X_166))),join(X_165,join(X_166,X_164))) )],[refute_0_1003,refute_0_1004]) ).
cnf(refute_0_1006,plain,
meet(join(X_164,join(X_165,X_166)),meet(X_22,join(X_165,join(X_166,X_164)))) = meet(X_22,join(X_165,join(X_166,X_164))),
inference(resolve,[$cnf( $equal(meet(join(X_164,join(X_165,X_166)),meet(X_22,join(X_165,join(X_166,X_164)))),meet(X_22,meet(join(X_165,join(X_166,X_164)),join(X_164,join(X_165,X_166))))) )],[refute_0_1002,refute_0_1005]) ).
cnf(refute_0_1007,plain,
meet(join(Y,join(X_30,X_31)),meet(X_202,join(X_30,join(X_31,Y)))) = meet(X_202,join(X_30,join(X_31,Y))),
inference(subst,[],[refute_0_1006:[bind(X_164,$fot(Y)),bind(X_165,$fot(X_30)),bind(X_166,$fot(X_31)),bind(X_22,$fot(X_202))]]) ).
cnf(refute_0_1008,plain,
( meet(X_202,join(Y,join(X_30,X_31))) != meet(join(Y,join(X_30,X_31)),meet(X_202,join(X_30,join(X_31,Y))))
| meet(join(Y,join(X_30,X_31)),meet(X_202,join(X_30,join(X_31,Y)))) != meet(X_202,join(X_30,join(X_31,Y)))
| meet(X_202,join(Y,join(X_30,X_31))) = meet(X_202,join(X_30,join(X_31,Y))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(meet(X_202,join(Y,join(X_30,X_31))),meet(X_202,join(X_30,join(X_31,Y)))) ),[0],$fot(meet(join(Y,join(X_30,X_31)),meet(X_202,join(X_30,join(X_31,Y)))))]]) ).
cnf(refute_0_1009,plain,
( meet(X_202,join(Y,join(X_30,X_31))) != meet(join(Y,join(X_30,X_31)),meet(X_202,join(X_30,join(X_31,Y))))
| meet(X_202,join(Y,join(X_30,X_31))) = meet(X_202,join(X_30,join(X_31,Y))) ),
inference(resolve,[$cnf( $equal(meet(join(Y,join(X_30,X_31)),meet(X_202,join(X_30,join(X_31,Y)))),meet(X_202,join(X_30,join(X_31,Y)))) )],[refute_0_1007,refute_0_1008]) ).
cnf(refute_0_1010,plain,
( join(meet(X_202,join(Y,join(X_30,X_31))),meet(X_202,meet(join(X_30,join(X_31,Y)),join(Y,join(X_30,X_31))))) != meet(join(Y,join(X_30,X_31)),meet(X_202,join(X_30,join(X_31,Y))))
| meet(X_202,join(Y,join(X_30,X_31))) = meet(X_202,join(X_30,join(X_31,Y))) ),
inference(resolve,[$cnf( $equal(meet(X_202,join(Y,join(X_30,X_31))),meet(join(Y,join(X_30,X_31)),meet(X_202,join(X_30,join(X_31,Y))))) )],[refute_0_1001,refute_0_1009]) ).
cnf(refute_0_1011,plain,
meet(X_202,join(Y,join(X_30,X_31))) = meet(X_202,join(X_30,join(X_31,Y))),
inference(resolve,[$cnf( $equal(join(meet(X_202,join(Y,join(X_30,X_31))),meet(X_202,meet(join(X_30,join(X_31,Y)),join(Y,join(X_30,X_31))))),meet(join(Y,join(X_30,X_31)),meet(X_202,join(X_30,join(X_31,Y))))) )],[refute_0_994,refute_0_1010]) ).
cnf(refute_0_1012,plain,
( meet(X_202,join(Y,join(X_30,X_31))) != meet(X_202,join(X_30,join(X_31,Y)))
| meet(X_202,join(X_30,join(X_31,Y))) = meet(X_202,join(Y,join(X_30,X_31))) ),
inference(subst,[],[refute_0_16:[bind(X0,$fot(meet(X_202,join(Y,join(X_30,X_31))))),bind(Y0,$fot(meet(X_202,join(X_30,join(X_31,Y)))))]]) ).
cnf(refute_0_1013,plain,
meet(X_202,join(X_30,join(X_31,Y))) = meet(X_202,join(Y,join(X_30,X_31))),
inference(resolve,[$cnf( $equal(meet(X_202,join(Y,join(X_30,X_31))),meet(X_202,join(X_30,join(X_31,Y)))) )],[refute_0_1011,refute_0_1012]) ).
cnf(refute_0_1014,plain,
meet(meet(X_210,join(X_209,X_114)),join(meet(meet(X_114,X_209),meet(X_210,join(X_209,X_114))),join(meet(X_114,X_209),meet(X_114,X_210)))) = meet(meet(X_210,join(X_209,X_114)),join(meet(X_114,X_210),join(meet(meet(X_114,X_209),meet(X_210,join(X_209,X_114))),meet(X_114,X_209)))),
inference(subst,[],[refute_0_1013:[bind(Y,$fot(meet(X_114,X_210))),bind(X_202,$fot(meet(X_210,join(X_209,X_114)))),bind(X_30,$fot(meet(meet(X_114,X_209),meet(X_210,join(X_209,X_114))))),bind(X_31,$fot(meet(X_114,X_209)))]]) ).
cnf(refute_0_1015,plain,
( meet(meet(X_210,join(X_209,X_114)),join(meet(X_114,X_210),join(meet(meet(X_114,X_209),meet(X_210,join(X_209,X_114))),meet(X_114,X_209)))) != meet(X_210,meet(join(X_209,X_114),join(meet(X_114,X_210),join(meet(X_114,X_209),meet(meet(X_114,X_209),meet(X_210,join(X_209,X_114)))))))
| meet(meet(X_210,join(X_209,X_114)),join(meet(meet(X_114,X_209),meet(X_210,join(X_209,X_114))),join(meet(X_114,X_209),meet(X_114,X_210)))) != meet(meet(X_210,join(X_209,X_114)),join(meet(X_114,X_210),join(meet(meet(X_114,X_209),meet(X_210,join(X_209,X_114))),meet(X_114,X_209))))
| meet(meet(X_210,join(X_209,X_114)),join(meet(meet(X_114,X_209),meet(X_210,join(X_209,X_114))),join(meet(X_114,X_209),meet(X_114,X_210)))) = meet(X_210,meet(join(X_209,X_114),join(meet(X_114,X_210),join(meet(X_114,X_209),meet(meet(X_114,X_209),meet(X_210,join(X_209,X_114))))))) ),
inference(subst,[],[refute_0_93:[bind(X0,$fot(meet(meet(X_210,join(X_209,X_114)),join(meet(meet(X_114,X_209),meet(X_210,join(X_209,X_114))),join(meet(X_114,X_209),meet(X_114,X_210)))))),bind(Y0,$fot(meet(meet(X_210,join(X_209,X_114)),join(meet(X_114,X_210),join(meet(meet(X_114,X_209),meet(X_210,join(X_209,X_114))),meet(X_114,X_209)))))),bind(Z0,$fot(meet(X_210,meet(join(X_209,X_114),join(meet(X_114,X_210),join(meet(X_114,X_209),meet(meet(X_114,X_209),meet(X_210,join(X_209,X_114)))))))))]]) ).
cnf(refute_0_1016,plain,
( meet(meet(X_210,join(X_209,X_114)),join(meet(X_114,X_210),join(meet(meet(X_114,X_209),meet(X_210,join(X_209,X_114))),meet(X_114,X_209)))) != meet(X_210,meet(join(X_209,X_114),join(meet(X_114,X_210),join(meet(X_114,X_209),meet(meet(X_114,X_209),meet(X_210,join(X_209,X_114)))))))
| meet(meet(X_210,join(X_209,X_114)),join(meet(meet(X_114,X_209),meet(X_210,join(X_209,X_114))),join(meet(X_114,X_209),meet(X_114,X_210)))) = meet(X_210,meet(join(X_209,X_114),join(meet(X_114,X_210),join(meet(X_114,X_209),meet(meet(X_114,X_209),meet(X_210,join(X_209,X_114))))))) ),
inference(resolve,[$cnf( $equal(meet(meet(X_210,join(X_209,X_114)),join(meet(meet(X_114,X_209),meet(X_210,join(X_209,X_114))),join(meet(X_114,X_209),meet(X_114,X_210)))),meet(meet(X_210,join(X_209,X_114)),join(meet(X_114,X_210),join(meet(meet(X_114,X_209),meet(X_210,join(X_209,X_114))),meet(X_114,X_209))))) )],[refute_0_1014,refute_0_1015]) ).
cnf(refute_0_1017,plain,
meet(meet(X_210,join(X_209,X_114)),join(meet(meet(X_114,X_209),meet(X_210,join(X_209,X_114))),join(meet(X_114,X_209),meet(X_114,X_210)))) = meet(X_210,meet(join(X_209,X_114),join(meet(X_114,X_210),join(meet(X_114,X_209),meet(meet(X_114,X_209),meet(X_210,join(X_209,X_114))))))),
inference(resolve,[$cnf( $equal(meet(meet(X_210,join(X_209,X_114)),join(meet(X_114,X_210),join(meet(meet(X_114,X_209),meet(X_210,join(X_209,X_114))),meet(X_114,X_209)))),meet(X_210,meet(join(X_209,X_114),join(meet(X_114,X_210),join(meet(X_114,X_209),meet(meet(X_114,X_209),meet(X_210,join(X_209,X_114)))))))) )],[refute_0_990,refute_0_1016]) ).
cnf(refute_0_1018,plain,
join(meet(X,Y),meet(Y,join(meet(X,Y),X_207))) = meet(Y,join(meet(X,Y),meet(join(meet(X,Y),X_207),join(X,Y)))),
inference(subst,[],[refute_0_51:[bind(Z,$fot(join(meet(X,Y),X_207)))]]) ).
cnf(refute_0_1019,plain,
join(meet(X_112,join(X_114,X_35)),meet(join(X_114,X_35),X_114)) = meet(join(X_114,X_35),join(meet(X_112,join(X_114,X_35)),meet(X_114,join(X_112,join(X_114,X_35))))),
inference(subst,[],[refute_0_51:[bind(X,$fot(X_112)),bind(Y,$fot(join(X_114,X_35))),bind(Z,$fot(X_114))]]) ).
cnf(refute_0_1020,plain,
meet(X_33,join(X_34,join(X_35,X_33))) = X_33,
inference(subst,[],[refute_0_436:[bind(X,$fot(X_33)),bind(X_30,$fot(X_34)),bind(X_31,$fot(X_35))]]) ).
cnf(refute_0_1021,plain,
join(X_33,X_35) = join(X_35,X_33),
inference(subst,[],[commutativity_of_join:[bind(X,$fot(X_33)),bind(Y,$fot(X_35))]]) ).
cnf(refute_0_1022,plain,
( join(X_33,X_35) != join(X_35,X_33)
| join(X_35,X_33) = join(X_33,X_35) ),
inference(subst,[],[refute_0_16:[bind(X0,$fot(join(X_33,X_35))),bind(Y0,$fot(join(X_35,X_33)))]]) ).
cnf(refute_0_1023,plain,
join(X_35,X_33) = join(X_33,X_35),
inference(resolve,[$cnf( $equal(join(X_33,X_35),join(X_35,X_33)) )],[refute_0_1021,refute_0_1022]) ).
cnf(refute_0_1024,plain,
( join(X_35,X_33) != join(X_33,X_35)
| meet(X_33,join(X_34,join(X_35,X_33))) != X_33
| meet(X_33,join(X_34,join(X_33,X_35))) = X_33 ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_33,join(X_34,join(X_35,X_33))),X_33) ),[0,1,1],$fot(join(X_33,X_35))]]) ).
cnf(refute_0_1025,plain,
( meet(X_33,join(X_34,join(X_35,X_33))) != X_33
| meet(X_33,join(X_34,join(X_33,X_35))) = X_33 ),
inference(resolve,[$cnf( $equal(join(X_35,X_33),join(X_33,X_35)) )],[refute_0_1023,refute_0_1024]) ).
cnf(refute_0_1026,plain,
meet(X_33,join(X_34,join(X_33,X_35))) = X_33,
inference(resolve,[$cnf( $equal(meet(X_33,join(X_34,join(X_35,X_33))),X_33) )],[refute_0_1020,refute_0_1025]) ).
cnf(refute_0_1027,plain,
meet(X_114,join(X_112,join(X_114,X_35))) = X_114,
inference(subst,[],[refute_0_1026:[bind(X_33,$fot(X_114)),bind(X_34,$fot(X_112))]]) ).
cnf(refute_0_1028,plain,
( join(meet(X_112,join(X_114,X_35)),meet(join(X_114,X_35),X_114)) != meet(join(X_114,X_35),join(meet(X_112,join(X_114,X_35)),meet(X_114,join(X_112,join(X_114,X_35)))))
| meet(X_114,join(X_112,join(X_114,X_35))) != X_114
| join(meet(X_112,join(X_114,X_35)),meet(join(X_114,X_35),X_114)) = meet(join(X_114,X_35),join(meet(X_112,join(X_114,X_35)),X_114)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_112,join(X_114,X_35)),meet(join(X_114,X_35),X_114)),meet(join(X_114,X_35),join(meet(X_112,join(X_114,X_35)),meet(X_114,join(X_112,join(X_114,X_35)))))) ),[1,1,1],$fot(X_114)]]) ).
cnf(refute_0_1029,plain,
( join(meet(X_112,join(X_114,X_35)),meet(join(X_114,X_35),X_114)) != meet(join(X_114,X_35),join(meet(X_112,join(X_114,X_35)),meet(X_114,join(X_112,join(X_114,X_35)))))
| join(meet(X_112,join(X_114,X_35)),meet(join(X_114,X_35),X_114)) = meet(join(X_114,X_35),join(meet(X_112,join(X_114,X_35)),X_114)) ),
inference(resolve,[$cnf( $equal(meet(X_114,join(X_112,join(X_114,X_35))),X_114) )],[refute_0_1027,refute_0_1028]) ).
cnf(refute_0_1030,plain,
join(meet(X_112,join(X_114,X_35)),meet(join(X_114,X_35),X_114)) = meet(join(X_114,X_35),join(meet(X_112,join(X_114,X_35)),X_114)),
inference(resolve,[$cnf( $equal(join(meet(X_112,join(X_114,X_35)),meet(join(X_114,X_35),X_114)),meet(join(X_114,X_35),join(meet(X_112,join(X_114,X_35)),meet(X_114,join(X_112,join(X_114,X_35)))))) )],[refute_0_1019,refute_0_1029]) ).
cnf(refute_0_1031,plain,
join(meet(X_69,join(X_84,X_85)),X_30) = join(X_30,meet(join(X_84,X_85),X_69)),
inference(subst,[],[refute_0_135:[bind(X_70,$fot(join(X_84,X_85)))]]) ).
cnf(refute_0_1032,plain,
meet(X_69,join(X_85,X_84)) = meet(join(X_84,X_85),X_69),
inference(subst,[],[refute_0_238:[bind(Y,$fot(X_69)),bind(X_81,$fot(X_84)),bind(X_82,$fot(X_85))]]) ).
cnf(refute_0_1033,plain,
( meet(X_69,join(X_85,X_84)) != meet(join(X_84,X_85),X_69)
| meet(join(X_84,X_85),X_69) = meet(X_69,join(X_85,X_84)) ),
inference(subst,[],[refute_0_16:[bind(X0,$fot(meet(X_69,join(X_85,X_84)))),bind(Y0,$fot(meet(join(X_84,X_85),X_69)))]]) ).
cnf(refute_0_1034,plain,
meet(join(X_84,X_85),X_69) = meet(X_69,join(X_85,X_84)),
inference(resolve,[$cnf( $equal(meet(X_69,join(X_85,X_84)),meet(join(X_84,X_85),X_69)) )],[refute_0_1032,refute_0_1033]) ).
cnf(refute_0_1035,plain,
( join(meet(X_69,join(X_84,X_85)),X_30) != join(X_30,meet(join(X_84,X_85),X_69))
| meet(join(X_84,X_85),X_69) != meet(X_69,join(X_85,X_84))
| join(meet(X_69,join(X_84,X_85)),X_30) = join(X_30,meet(X_69,join(X_85,X_84))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_69,join(X_84,X_85)),X_30),join(X_30,meet(join(X_84,X_85),X_69))) ),[1,1],$fot(meet(X_69,join(X_85,X_84)))]]) ).
cnf(refute_0_1036,plain,
( join(meet(X_69,join(X_84,X_85)),X_30) != join(X_30,meet(join(X_84,X_85),X_69))
| join(meet(X_69,join(X_84,X_85)),X_30) = join(X_30,meet(X_69,join(X_85,X_84))) ),
inference(resolve,[$cnf( $equal(meet(join(X_84,X_85),X_69),meet(X_69,join(X_85,X_84))) )],[refute_0_1034,refute_0_1035]) ).
cnf(refute_0_1037,plain,
join(meet(X_69,join(X_84,X_85)),X_30) = join(X_30,meet(X_69,join(X_85,X_84))),
inference(resolve,[$cnf( $equal(join(meet(X_69,join(X_84,X_85)),X_30),join(X_30,meet(join(X_84,X_85),X_69))) )],[refute_0_1031,refute_0_1036]) ).
cnf(refute_0_1038,plain,
join(meet(X_112,join(X_114,X_35)),X_114) = join(X_114,meet(X_112,join(X_35,X_114))),
inference(subst,[],[refute_0_1037:[bind(X_30,$fot(X_114)),bind(X_69,$fot(X_112)),bind(X_84,$fot(X_114)),bind(X_85,$fot(X_35))]]) ).
cnf(refute_0_1039,plain,
meet(X_114,join(X_114,X_35)) = X_114,
inference(subst,[],[absorption1:[bind(X,$fot(X_114)),bind(Y,$fot(X_35))]]) ).
cnf(refute_0_1040,plain,
join(meet(X_112,join(X_114,X_35)),meet(X_114,join(X_114,X_35))) = join(meet(X_112,join(X_114,X_35)),meet(X_114,join(X_114,X_35))),
introduced(tautology,[refl,[$fot(join(meet(X_112,join(X_114,X_35)),meet(X_114,join(X_114,X_35))))]]) ).
cnf(refute_0_1041,plain,
( join(meet(X_112,join(X_114,X_35)),meet(X_114,join(X_114,X_35))) != join(meet(X_112,join(X_114,X_35)),meet(X_114,join(X_114,X_35)))
| meet(X_114,join(X_114,X_35)) != X_114
| join(meet(X_112,join(X_114,X_35)),meet(X_114,join(X_114,X_35))) = join(meet(X_112,join(X_114,X_35)),X_114) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_112,join(X_114,X_35)),meet(X_114,join(X_114,X_35))),join(meet(X_112,join(X_114,X_35)),meet(X_114,join(X_114,X_35)))) ),[1,1],$fot(X_114)]]) ).
cnf(refute_0_1042,plain,
( meet(X_114,join(X_114,X_35)) != X_114
| join(meet(X_112,join(X_114,X_35)),meet(X_114,join(X_114,X_35))) = join(meet(X_112,join(X_114,X_35)),X_114) ),
inference(resolve,[$cnf( $equal(join(meet(X_112,join(X_114,X_35)),meet(X_114,join(X_114,X_35))),join(meet(X_112,join(X_114,X_35)),meet(X_114,join(X_114,X_35)))) )],[refute_0_1040,refute_0_1041]) ).
cnf(refute_0_1043,plain,
join(meet(X_112,join(X_114,X_35)),meet(X_114,join(X_114,X_35))) = join(meet(X_112,join(X_114,X_35)),X_114),
inference(resolve,[$cnf( $equal(meet(X_114,join(X_114,X_35)),X_114) )],[refute_0_1039,refute_0_1042]) ).
cnf(refute_0_1044,plain,
( join(meet(X_112,join(X_114,X_35)),X_114) != join(X_114,meet(X_112,join(X_35,X_114)))
| join(meet(X_112,join(X_114,X_35)),meet(X_114,join(X_114,X_35))) != join(meet(X_112,join(X_114,X_35)),X_114)
| join(meet(X_112,join(X_114,X_35)),meet(X_114,join(X_114,X_35))) = join(X_114,meet(X_112,join(X_35,X_114))) ),
inference(subst,[],[refute_0_93:[bind(X0,$fot(join(meet(X_112,join(X_114,X_35)),meet(X_114,join(X_114,X_35))))),bind(Y0,$fot(join(meet(X_112,join(X_114,X_35)),X_114))),bind(Z0,$fot(join(X_114,meet(X_112,join(X_35,X_114)))))]]) ).
cnf(refute_0_1045,plain,
( join(meet(X_112,join(X_114,X_35)),X_114) != join(X_114,meet(X_112,join(X_35,X_114)))
| join(meet(X_112,join(X_114,X_35)),meet(X_114,join(X_114,X_35))) = join(X_114,meet(X_112,join(X_35,X_114))) ),
inference(resolve,[$cnf( $equal(join(meet(X_112,join(X_114,X_35)),meet(X_114,join(X_114,X_35))),join(meet(X_112,join(X_114,X_35)),X_114)) )],[refute_0_1043,refute_0_1044]) ).
cnf(refute_0_1046,plain,
join(meet(X_112,join(X_114,X_35)),meet(X_114,join(X_114,X_35))) = join(X_114,meet(X_112,join(X_35,X_114))),
inference(resolve,[$cnf( $equal(join(meet(X_112,join(X_114,X_35)),X_114),join(X_114,meet(X_112,join(X_35,X_114)))) )],[refute_0_1038,refute_0_1045]) ).
cnf(refute_0_1047,plain,
join(meet(X_112,X_113),meet(X_113,X_114)) = meet(X_113,join(meet(X_112,X_113),meet(X_114,join(X_112,X_113)))),
inference(subst,[],[refute_0_51:[bind(X,$fot(X_112)),bind(Y,$fot(X_113)),bind(Z,$fot(X_114))]]) ).
cnf(refute_0_1048,plain,
meet(X_114,X_113) = meet(X_113,X_114),
inference(subst,[],[commutativity_of_meet:[bind(X,$fot(X_114)),bind(Y,$fot(X_113))]]) ).
cnf(refute_0_1049,plain,
( meet(X_114,X_113) != meet(X_113,X_114)
| meet(X_113,X_114) = meet(X_114,X_113) ),
inference(subst,[],[refute_0_16:[bind(X0,$fot(meet(X_114,X_113))),bind(Y0,$fot(meet(X_113,X_114)))]]) ).
cnf(refute_0_1050,plain,
meet(X_113,X_114) = meet(X_114,X_113),
inference(resolve,[$cnf( $equal(meet(X_114,X_113),meet(X_113,X_114)) )],[refute_0_1048,refute_0_1049]) ).
cnf(refute_0_1051,plain,
( join(meet(X_112,X_113),meet(X_113,X_114)) != meet(X_113,join(meet(X_112,X_113),meet(X_114,join(X_112,X_113))))
| meet(X_113,X_114) != meet(X_114,X_113)
| join(meet(X_112,X_113),meet(X_114,X_113)) = meet(X_113,join(meet(X_112,X_113),meet(X_114,join(X_112,X_113)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_112,X_113),meet(X_113,X_114)),meet(X_113,join(meet(X_112,X_113),meet(X_114,join(X_112,X_113))))) ),[0,1],$fot(meet(X_114,X_113))]]) ).
cnf(refute_0_1052,plain,
( join(meet(X_112,X_113),meet(X_113,X_114)) != meet(X_113,join(meet(X_112,X_113),meet(X_114,join(X_112,X_113))))
| join(meet(X_112,X_113),meet(X_114,X_113)) = meet(X_113,join(meet(X_112,X_113),meet(X_114,join(X_112,X_113)))) ),
inference(resolve,[$cnf( $equal(meet(X_113,X_114),meet(X_114,X_113)) )],[refute_0_1050,refute_0_1051]) ).
cnf(refute_0_1053,plain,
join(meet(X_112,X_113),meet(X_114,X_113)) = meet(X_113,join(meet(X_112,X_113),meet(X_114,join(X_112,X_113)))),
inference(resolve,[$cnf( $equal(join(meet(X_112,X_113),meet(X_113,X_114)),meet(X_113,join(meet(X_112,X_113),meet(X_114,join(X_112,X_113))))) )],[refute_0_1047,refute_0_1052]) ).
cnf(refute_0_1054,plain,
( join(meet(X,Y),meet(Y,Z)) != meet(Y,join(meet(X,Y),meet(Z,join(X,Y))))
| meet(Y,join(meet(X,Y),meet(Z,join(X,Y)))) = join(meet(X,Y),meet(Y,Z)) ),
inference(subst,[],[refute_0_16:[bind(X0,$fot(join(meet(X,Y),meet(Y,Z)))),bind(Y0,$fot(meet(Y,join(meet(X,Y),meet(Z,join(X,Y))))))]]) ).
cnf(refute_0_1055,plain,
meet(Y,join(meet(X,Y),meet(Z,join(X,Y)))) = join(meet(X,Y),meet(Y,Z)),
inference(resolve,[$cnf( $equal(join(meet(X,Y),meet(Y,Z)),meet(Y,join(meet(X,Y),meet(Z,join(X,Y))))) )],[refute_0_51,refute_0_1054]) ).
cnf(refute_0_1056,plain,
meet(X_113,join(meet(X_112,X_113),meet(X_114,join(X_112,X_113)))) = join(meet(X_112,X_113),meet(X_113,X_114)),
inference(subst,[],[refute_0_1055:[bind(X,$fot(X_112)),bind(Y,$fot(X_113)),bind(Z,$fot(X_114))]]) ).
cnf(refute_0_1057,plain,
( join(meet(X_112,X_113),meet(X_114,X_113)) != meet(X_113,join(meet(X_112,X_113),meet(X_114,join(X_112,X_113))))
| meet(X_113,join(meet(X_112,X_113),meet(X_114,join(X_112,X_113)))) != join(meet(X_112,X_113),meet(X_113,X_114))
| join(meet(X_112,X_113),meet(X_114,X_113)) = join(meet(X_112,X_113),meet(X_113,X_114)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(meet(X_112,X_113),meet(X_114,X_113)),join(meet(X_112,X_113),meet(X_113,X_114))) ),[0],$fot(meet(X_113,join(meet(X_112,X_113),meet(X_114,join(X_112,X_113)))))]]) ).
cnf(refute_0_1058,plain,
( join(meet(X_112,X_113),meet(X_114,X_113)) != meet(X_113,join(meet(X_112,X_113),meet(X_114,join(X_112,X_113))))
| join(meet(X_112,X_113),meet(X_114,X_113)) = join(meet(X_112,X_113),meet(X_113,X_114)) ),
inference(resolve,[$cnf( $equal(meet(X_113,join(meet(X_112,X_113),meet(X_114,join(X_112,X_113)))),join(meet(X_112,X_113),meet(X_113,X_114))) )],[refute_0_1056,refute_0_1057]) ).
cnf(refute_0_1059,plain,
join(meet(X_112,X_113),meet(X_114,X_113)) = join(meet(X_112,X_113),meet(X_113,X_114)),
inference(resolve,[$cnf( $equal(join(meet(X_112,X_113),meet(X_114,X_113)),meet(X_113,join(meet(X_112,X_113),meet(X_114,join(X_112,X_113))))) )],[refute_0_1053,refute_0_1058]) ).
cnf(refute_0_1060,plain,
( join(meet(X_112,X_113),meet(X_114,X_113)) != join(meet(X_112,X_113),meet(X_113,X_114))
| join(meet(X_112,X_113),meet(X_113,X_114)) = join(meet(X_112,X_113),meet(X_114,X_113)) ),
inference(subst,[],[refute_0_16:[bind(X0,$fot(join(meet(X_112,X_113),meet(X_114,X_113)))),bind(Y0,$fot(join(meet(X_112,X_113),meet(X_113,X_114))))]]) ).
cnf(refute_0_1061,plain,
join(meet(X_112,X_113),meet(X_113,X_114)) = join(meet(X_112,X_113),meet(X_114,X_113)),
inference(resolve,[$cnf( $equal(join(meet(X_112,X_113),meet(X_114,X_113)),join(meet(X_112,X_113),meet(X_113,X_114))) )],[refute_0_1059,refute_0_1060]) ).
cnf(refute_0_1062,plain,
join(meet(X_112,join(X_114,X_35)),meet(join(X_114,X_35),X_114)) = join(meet(X_112,join(X_114,X_35)),meet(X_114,join(X_114,X_35))),
inference(subst,[],[refute_0_1061:[bind(X_113,$fot(join(X_114,X_35)))]]) ).
cnf(refute_0_1063,plain,
( join(meet(X_112,join(X_114,X_35)),meet(X_114,join(X_114,X_35))) != join(X_114,meet(X_112,join(X_35,X_114)))
| join(meet(X_112,join(X_114,X_35)),meet(join(X_114,X_35),X_114)) != join(meet(X_112,join(X_114,X_35)),meet(X_114,join(X_114,X_35)))
| join(meet(X_112,join(X_114,X_35)),meet(join(X_114,X_35),X_114)) = join(X_114,meet(X_112,join(X_35,X_114))) ),
inference(subst,[],[refute_0_93:[bind(X0,$fot(join(meet(X_112,join(X_114,X_35)),meet(join(X_114,X_35),X_114)))),bind(Y0,$fot(join(meet(X_112,join(X_114,X_35)),meet(X_114,join(X_114,X_35))))),bind(Z0,$fot(join(X_114,meet(X_112,join(X_35,X_114)))))]]) ).
cnf(refute_0_1064,plain,
( join(meet(X_112,join(X_114,X_35)),meet(X_114,join(X_114,X_35))) != join(X_114,meet(X_112,join(X_35,X_114)))
| join(meet(X_112,join(X_114,X_35)),meet(join(X_114,X_35),X_114)) = join(X_114,meet(X_112,join(X_35,X_114))) ),
inference(resolve,[$cnf( $equal(join(meet(X_112,join(X_114,X_35)),meet(join(X_114,X_35),X_114)),join(meet(X_112,join(X_114,X_35)),meet(X_114,join(X_114,X_35)))) )],[refute_0_1062,refute_0_1063]) ).
cnf(refute_0_1065,plain,
join(meet(X_112,join(X_114,X_35)),meet(join(X_114,X_35),X_114)) = join(X_114,meet(X_112,join(X_35,X_114))),
inference(resolve,[$cnf( $equal(join(meet(X_112,join(X_114,X_35)),meet(X_114,join(X_114,X_35))),join(X_114,meet(X_112,join(X_35,X_114)))) )],[refute_0_1046,refute_0_1064]) ).
cnf(refute_0_1066,plain,
( join(meet(X_112,join(X_114,X_35)),meet(join(X_114,X_35),X_114)) != join(X_114,meet(X_112,join(X_35,X_114)))
| join(meet(X_112,join(X_114,X_35)),meet(join(X_114,X_35),X_114)) != meet(join(X_114,X_35),join(meet(X_112,join(X_114,X_35)),X_114))
| join(X_114,meet(X_112,join(X_35,X_114))) = meet(join(X_114,X_35),join(meet(X_112,join(X_114,X_35)),X_114)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_112,join(X_114,X_35)),meet(join(X_114,X_35),X_114)),meet(join(X_114,X_35),join(meet(X_112,join(X_114,X_35)),X_114))) ),[0],$fot(join(X_114,meet(X_112,join(X_35,X_114))))]]) ).
cnf(refute_0_1067,plain,
( join(meet(X_112,join(X_114,X_35)),meet(join(X_114,X_35),X_114)) != meet(join(X_114,X_35),join(meet(X_112,join(X_114,X_35)),X_114))
| join(X_114,meet(X_112,join(X_35,X_114))) = meet(join(X_114,X_35),join(meet(X_112,join(X_114,X_35)),X_114)) ),
inference(resolve,[$cnf( $equal(join(meet(X_112,join(X_114,X_35)),meet(join(X_114,X_35),X_114)),join(X_114,meet(X_112,join(X_35,X_114)))) )],[refute_0_1065,refute_0_1066]) ).
cnf(refute_0_1068,plain,
join(meet(X_112,join(X_112,Y)),meet(join(X_112,Y),X_114)) = meet(join(X_112,Y),join(meet(X_112,join(X_112,Y)),meet(X_114,join(X_112,join(X_112,Y))))),
inference(subst,[],[refute_0_51:[bind(X,$fot(X_112)),bind(Y,$fot(join(X_112,Y))),bind(Z,$fot(X_114))]]) ).
cnf(refute_0_1069,plain,
join(Y,X_9) = join(X_9,Y),
inference(subst,[],[commutativity_of_join:[bind(X,$fot(Y)),bind(Y,$fot(X_9))]]) ).
cnf(refute_0_1070,plain,
( join(Y,X_9) != join(X_9,Y)
| join(X_9,join(Y,X_9)) != join(X_9,Y)
| join(X_9,join(X_9,Y)) = join(X_9,Y) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_9,join(Y,X_9)),join(X_9,Y)) ),[0,1],$fot(join(X_9,Y))]]) ).
cnf(refute_0_1071,plain,
( join(X_9,join(Y,X_9)) != join(X_9,Y)
| join(X_9,join(X_9,Y)) = join(X_9,Y) ),
inference(resolve,[$cnf( $equal(join(Y,X_9),join(X_9,Y)) )],[refute_0_1069,refute_0_1070]) ).
cnf(refute_0_1072,plain,
join(X_9,join(X_9,Y)) = join(X_9,Y),
inference(resolve,[$cnf( $equal(join(X_9,join(Y,X_9)),join(X_9,Y)) )],[refute_0_86,refute_0_1071]) ).
cnf(refute_0_1073,plain,
join(X_112,join(X_112,Y)) = join(X_112,Y),
inference(subst,[],[refute_0_1072:[bind(X_9,$fot(X_112))]]) ).
cnf(refute_0_1074,plain,
( join(X_112,join(X_112,Y)) != join(X_112,Y)
| join(meet(X_112,join(X_112,Y)),meet(join(X_112,Y),X_114)) != meet(join(X_112,Y),join(meet(X_112,join(X_112,Y)),meet(X_114,join(X_112,join(X_112,Y)))))
| join(meet(X_112,join(X_112,Y)),meet(join(X_112,Y),X_114)) = meet(join(X_112,Y),join(meet(X_112,join(X_112,Y)),meet(X_114,join(X_112,Y)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_112,join(X_112,Y)),meet(join(X_112,Y),X_114)),meet(join(X_112,Y),join(meet(X_112,join(X_112,Y)),meet(X_114,join(X_112,join(X_112,Y)))))) ),[1,1,1,1],$fot(join(X_112,Y))]]) ).
cnf(refute_0_1075,plain,
( join(meet(X_112,join(X_112,Y)),meet(join(X_112,Y),X_114)) != meet(join(X_112,Y),join(meet(X_112,join(X_112,Y)),meet(X_114,join(X_112,join(X_112,Y)))))
| join(meet(X_112,join(X_112,Y)),meet(join(X_112,Y),X_114)) = meet(join(X_112,Y),join(meet(X_112,join(X_112,Y)),meet(X_114,join(X_112,Y)))) ),
inference(resolve,[$cnf( $equal(join(X_112,join(X_112,Y)),join(X_112,Y)) )],[refute_0_1073,refute_0_1074]) ).
cnf(refute_0_1076,plain,
join(meet(X_112,join(X_112,Y)),meet(join(X_112,Y),X_114)) = meet(join(X_112,Y),join(meet(X_112,join(X_112,Y)),meet(X_114,join(X_112,Y)))),
inference(resolve,[$cnf( $equal(join(meet(X_112,join(X_112,Y)),meet(join(X_112,Y),X_114)),meet(join(X_112,Y),join(meet(X_112,join(X_112,Y)),meet(X_114,join(X_112,join(X_112,Y)))))) )],[refute_0_1068,refute_0_1075]) ).
cnf(refute_0_1077,plain,
meet(X_112,join(X_112,Y)) = X_112,
inference(subst,[],[absorption1:[bind(X,$fot(X_112))]]) ).
cnf(refute_0_1078,plain,
join(meet(X_112,join(X_112,Y)),meet(join(X_112,Y),X_114)) = join(meet(X_112,join(X_112,Y)),meet(join(X_112,Y),X_114)),
introduced(tautology,[refl,[$fot(join(meet(X_112,join(X_112,Y)),meet(join(X_112,Y),X_114)))]]) ).
cnf(refute_0_1079,plain,
( join(meet(X_112,join(X_112,Y)),meet(join(X_112,Y),X_114)) != join(meet(X_112,join(X_112,Y)),meet(join(X_112,Y),X_114))
| meet(X_112,join(X_112,Y)) != X_112
| join(meet(X_112,join(X_112,Y)),meet(join(X_112,Y),X_114)) = join(X_112,meet(join(X_112,Y),X_114)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_112,join(X_112,Y)),meet(join(X_112,Y),X_114)),join(meet(X_112,join(X_112,Y)),meet(join(X_112,Y),X_114))) ),[1,0],$fot(X_112)]]) ).
cnf(refute_0_1080,plain,
( meet(X_112,join(X_112,Y)) != X_112
| join(meet(X_112,join(X_112,Y)),meet(join(X_112,Y),X_114)) = join(X_112,meet(join(X_112,Y),X_114)) ),
inference(resolve,[$cnf( $equal(join(meet(X_112,join(X_112,Y)),meet(join(X_112,Y),X_114)),join(meet(X_112,join(X_112,Y)),meet(join(X_112,Y),X_114))) )],[refute_0_1078,refute_0_1079]) ).
cnf(refute_0_1081,plain,
join(meet(X_112,join(X_112,Y)),meet(join(X_112,Y),X_114)) = join(X_112,meet(join(X_112,Y),X_114)),
inference(resolve,[$cnf( $equal(meet(X_112,join(X_112,Y)),X_112) )],[refute_0_1077,refute_0_1080]) ).
cnf(refute_0_1082,plain,
( join(meet(X_112,join(X_112,Y)),meet(join(X_112,Y),X_114)) != join(X_112,meet(join(X_112,Y),X_114))
| join(meet(X_112,join(X_112,Y)),meet(join(X_112,Y),X_114)) != meet(join(X_112,Y),join(meet(X_112,join(X_112,Y)),meet(X_114,join(X_112,Y))))
| join(X_112,meet(join(X_112,Y),X_114)) = meet(join(X_112,Y),join(meet(X_112,join(X_112,Y)),meet(X_114,join(X_112,Y)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_112,join(X_112,Y)),meet(join(X_112,Y),X_114)),meet(join(X_112,Y),join(meet(X_112,join(X_112,Y)),meet(X_114,join(X_112,Y))))) ),[0],$fot(join(X_112,meet(join(X_112,Y),X_114)))]]) ).
cnf(refute_0_1083,plain,
( join(meet(X_112,join(X_112,Y)),meet(join(X_112,Y),X_114)) != meet(join(X_112,Y),join(meet(X_112,join(X_112,Y)),meet(X_114,join(X_112,Y))))
| join(X_112,meet(join(X_112,Y),X_114)) = meet(join(X_112,Y),join(meet(X_112,join(X_112,Y)),meet(X_114,join(X_112,Y)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_112,join(X_112,Y)),meet(join(X_112,Y),X_114)),join(X_112,meet(join(X_112,Y),X_114))) )],[refute_0_1081,refute_0_1082]) ).
cnf(refute_0_1084,plain,
join(meet(X_112,join(X_112,Y)),meet(X_114,join(X_112,Y))) = join(meet(X_112,join(X_112,Y)),meet(X_114,join(X_112,Y))),
introduced(tautology,[refl,[$fot(join(meet(X_112,join(X_112,Y)),meet(X_114,join(X_112,Y))))]]) ).
cnf(refute_0_1085,plain,
( join(meet(X_112,join(X_112,Y)),meet(X_114,join(X_112,Y))) != join(meet(X_112,join(X_112,Y)),meet(X_114,join(X_112,Y)))
| meet(X_112,join(X_112,Y)) != X_112
| join(meet(X_112,join(X_112,Y)),meet(X_114,join(X_112,Y))) = join(X_112,meet(X_114,join(X_112,Y))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_112,join(X_112,Y)),meet(X_114,join(X_112,Y))),join(meet(X_112,join(X_112,Y)),meet(X_114,join(X_112,Y)))) ),[1,0],$fot(X_112)]]) ).
cnf(refute_0_1086,plain,
( meet(X_112,join(X_112,Y)) != X_112
| join(meet(X_112,join(X_112,Y)),meet(X_114,join(X_112,Y))) = join(X_112,meet(X_114,join(X_112,Y))) ),
inference(resolve,[$cnf( $equal(join(meet(X_112,join(X_112,Y)),meet(X_114,join(X_112,Y))),join(meet(X_112,join(X_112,Y)),meet(X_114,join(X_112,Y)))) )],[refute_0_1084,refute_0_1085]) ).
cnf(refute_0_1087,plain,
join(meet(X_112,join(X_112,Y)),meet(X_114,join(X_112,Y))) = join(X_112,meet(X_114,join(X_112,Y))),
inference(resolve,[$cnf( $equal(meet(X_112,join(X_112,Y)),X_112) )],[refute_0_1077,refute_0_1086]) ).
cnf(refute_0_1088,plain,
meet(join(X_112,Y),join(meet(X_112,join(X_112,Y)),meet(X_114,join(X_112,Y)))) = meet(join(X_112,Y),join(meet(X_112,join(X_112,Y)),meet(X_114,join(X_112,Y)))),
introduced(tautology,[refl,[$fot(meet(join(X_112,Y),join(meet(X_112,join(X_112,Y)),meet(X_114,join(X_112,Y)))))]]) ).
cnf(refute_0_1089,plain,
( join(meet(X_112,join(X_112,Y)),meet(X_114,join(X_112,Y))) != join(X_112,meet(X_114,join(X_112,Y)))
| meet(join(X_112,Y),join(meet(X_112,join(X_112,Y)),meet(X_114,join(X_112,Y)))) != meet(join(X_112,Y),join(meet(X_112,join(X_112,Y)),meet(X_114,join(X_112,Y))))
| meet(join(X_112,Y),join(meet(X_112,join(X_112,Y)),meet(X_114,join(X_112,Y)))) = meet(join(X_112,Y),join(X_112,meet(X_114,join(X_112,Y)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_112,Y),join(meet(X_112,join(X_112,Y)),meet(X_114,join(X_112,Y)))),meet(join(X_112,Y),join(meet(X_112,join(X_112,Y)),meet(X_114,join(X_112,Y))))) ),[1,1],$fot(join(X_112,meet(X_114,join(X_112,Y))))]]) ).
cnf(refute_0_1090,plain,
( join(meet(X_112,join(X_112,Y)),meet(X_114,join(X_112,Y))) != join(X_112,meet(X_114,join(X_112,Y)))
| meet(join(X_112,Y),join(meet(X_112,join(X_112,Y)),meet(X_114,join(X_112,Y)))) = meet(join(X_112,Y),join(X_112,meet(X_114,join(X_112,Y)))) ),
inference(resolve,[$cnf( $equal(meet(join(X_112,Y),join(meet(X_112,join(X_112,Y)),meet(X_114,join(X_112,Y)))),meet(join(X_112,Y),join(meet(X_112,join(X_112,Y)),meet(X_114,join(X_112,Y))))) )],[refute_0_1088,refute_0_1089]) ).
cnf(refute_0_1091,plain,
meet(join(X_112,Y),join(meet(X_112,join(X_112,Y)),meet(X_114,join(X_112,Y)))) = meet(join(X_112,Y),join(X_112,meet(X_114,join(X_112,Y)))),
inference(resolve,[$cnf( $equal(join(meet(X_112,join(X_112,Y)),meet(X_114,join(X_112,Y))),join(X_112,meet(X_114,join(X_112,Y)))) )],[refute_0_1087,refute_0_1090]) ).
cnf(refute_0_1092,plain,
( join(X_112,meet(join(X_112,Y),X_114)) != meet(join(X_112,Y),join(meet(X_112,join(X_112,Y)),meet(X_114,join(X_112,Y))))
| meet(join(X_112,Y),join(meet(X_112,join(X_112,Y)),meet(X_114,join(X_112,Y)))) != meet(join(X_112,Y),join(X_112,meet(X_114,join(X_112,Y))))
| join(X_112,meet(join(X_112,Y),X_114)) = meet(join(X_112,Y),join(X_112,meet(X_114,join(X_112,Y)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_112,meet(join(X_112,Y),X_114)),meet(join(X_112,Y),join(X_112,meet(X_114,join(X_112,Y))))) ),[0],$fot(meet(join(X_112,Y),join(meet(X_112,join(X_112,Y)),meet(X_114,join(X_112,Y)))))]]) ).
cnf(refute_0_1093,plain,
( join(X_112,meet(join(X_112,Y),X_114)) != meet(join(X_112,Y),join(meet(X_112,join(X_112,Y)),meet(X_114,join(X_112,Y))))
| join(X_112,meet(join(X_112,Y),X_114)) = meet(join(X_112,Y),join(X_112,meet(X_114,join(X_112,Y)))) ),
inference(resolve,[$cnf( $equal(meet(join(X_112,Y),join(meet(X_112,join(X_112,Y)),meet(X_114,join(X_112,Y)))),meet(join(X_112,Y),join(X_112,meet(X_114,join(X_112,Y))))) )],[refute_0_1091,refute_0_1092]) ).
cnf(refute_0_1094,plain,
( join(meet(X_112,join(X_112,Y)),meet(join(X_112,Y),X_114)) != meet(join(X_112,Y),join(meet(X_112,join(X_112,Y)),meet(X_114,join(X_112,Y))))
| join(X_112,meet(join(X_112,Y),X_114)) = meet(join(X_112,Y),join(X_112,meet(X_114,join(X_112,Y)))) ),
inference(resolve,[$cnf( $equal(join(X_112,meet(join(X_112,Y),X_114)),meet(join(X_112,Y),join(meet(X_112,join(X_112,Y)),meet(X_114,join(X_112,Y))))) )],[refute_0_1083,refute_0_1093]) ).
cnf(refute_0_1095,plain,
join(X_112,meet(join(X_112,Y),X_114)) = meet(join(X_112,Y),join(X_112,meet(X_114,join(X_112,Y)))),
inference(resolve,[$cnf( $equal(join(meet(X_112,join(X_112,Y)),meet(join(X_112,Y),X_114)),meet(join(X_112,Y),join(meet(X_112,join(X_112,Y)),meet(X_114,join(X_112,Y))))) )],[refute_0_1076,refute_0_1094]) ).
cnf(refute_0_1096,plain,
( join(X_112,meet(join(X_112,Y),X_114)) != meet(join(X_112,Y),join(X_112,meet(X_114,join(X_112,Y))))
| meet(join(X_112,Y),join(X_112,meet(X_114,join(X_112,Y)))) = join(X_112,meet(join(X_112,Y),X_114)) ),
inference(subst,[],[refute_0_16:[bind(X0,$fot(join(X_112,meet(join(X_112,Y),X_114)))),bind(Y0,$fot(meet(join(X_112,Y),join(X_112,meet(X_114,join(X_112,Y))))))]]) ).
cnf(refute_0_1097,plain,
meet(join(X_112,Y),join(X_112,meet(X_114,join(X_112,Y)))) = join(X_112,meet(join(X_112,Y),X_114)),
inference(resolve,[$cnf( $equal(join(X_112,meet(join(X_112,Y),X_114)),meet(join(X_112,Y),join(X_112,meet(X_114,join(X_112,Y))))) )],[refute_0_1095,refute_0_1096]) ).
cnf(refute_0_1098,plain,
meet(join(X_114,X_35),join(X_114,meet(X_112,join(X_114,X_35)))) = join(X_114,meet(join(X_114,X_35),X_112)),
inference(subst,[],[refute_0_1097:[bind(Y,$fot(X_35)),bind(X_112,$fot(X_114)),bind(X_114,$fot(X_112))]]) ).
cnf(refute_0_1099,plain,
meet(join(X_114,X_35),join(meet(X_112,join(X_114,X_35)),X_114)) = meet(join(X_114,X_35),join(X_114,meet(X_112,join(X_114,X_35)))),
inference(subst,[],[refute_0_791:[bind(X_19,$fot(join(X_114,X_35))),bind(X_84,$fot(X_114)),bind(X_85,$fot(meet(X_112,join(X_114,X_35))))]]) ).
cnf(refute_0_1100,plain,
( meet(join(X_114,X_35),join(X_114,meet(X_112,join(X_114,X_35)))) != join(X_114,meet(join(X_114,X_35),X_112))
| meet(join(X_114,X_35),join(meet(X_112,join(X_114,X_35)),X_114)) != meet(join(X_114,X_35),join(X_114,meet(X_112,join(X_114,X_35))))
| meet(join(X_114,X_35),join(meet(X_112,join(X_114,X_35)),X_114)) = join(X_114,meet(join(X_114,X_35),X_112)) ),
inference(subst,[],[refute_0_93:[bind(X0,$fot(meet(join(X_114,X_35),join(meet(X_112,join(X_114,X_35)),X_114)))),bind(Y0,$fot(meet(join(X_114,X_35),join(X_114,meet(X_112,join(X_114,X_35)))))),bind(Z0,$fot(join(X_114,meet(join(X_114,X_35),X_112))))]]) ).
cnf(refute_0_1101,plain,
( meet(join(X_114,X_35),join(X_114,meet(X_112,join(X_114,X_35)))) != join(X_114,meet(join(X_114,X_35),X_112))
| meet(join(X_114,X_35),join(meet(X_112,join(X_114,X_35)),X_114)) = join(X_114,meet(join(X_114,X_35),X_112)) ),
inference(resolve,[$cnf( $equal(meet(join(X_114,X_35),join(meet(X_112,join(X_114,X_35)),X_114)),meet(join(X_114,X_35),join(X_114,meet(X_112,join(X_114,X_35))))) )],[refute_0_1099,refute_0_1100]) ).
cnf(refute_0_1102,plain,
meet(join(X_114,X_35),join(meet(X_112,join(X_114,X_35)),X_114)) = join(X_114,meet(join(X_114,X_35),X_112)),
inference(resolve,[$cnf( $equal(meet(join(X_114,X_35),join(X_114,meet(X_112,join(X_114,X_35)))),join(X_114,meet(join(X_114,X_35),X_112))) )],[refute_0_1098,refute_0_1101]) ).
cnf(refute_0_1103,plain,
( join(X_114,meet(X_112,join(X_35,X_114))) != meet(join(X_114,X_35),join(meet(X_112,join(X_114,X_35)),X_114))
| meet(join(X_114,X_35),join(meet(X_112,join(X_114,X_35)),X_114)) != join(X_114,meet(join(X_114,X_35),X_112))
| join(X_114,meet(X_112,join(X_35,X_114))) = join(X_114,meet(join(X_114,X_35),X_112)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_114,meet(X_112,join(X_35,X_114))),join(X_114,meet(join(X_114,X_35),X_112))) ),[0],$fot(meet(join(X_114,X_35),join(meet(X_112,join(X_114,X_35)),X_114)))]]) ).
cnf(refute_0_1104,plain,
( join(X_114,meet(X_112,join(X_35,X_114))) != meet(join(X_114,X_35),join(meet(X_112,join(X_114,X_35)),X_114))
| join(X_114,meet(X_112,join(X_35,X_114))) = join(X_114,meet(join(X_114,X_35),X_112)) ),
inference(resolve,[$cnf( $equal(meet(join(X_114,X_35),join(meet(X_112,join(X_114,X_35)),X_114)),join(X_114,meet(join(X_114,X_35),X_112))) )],[refute_0_1102,refute_0_1103]) ).
cnf(refute_0_1105,plain,
( join(meet(X_112,join(X_114,X_35)),meet(join(X_114,X_35),X_114)) != meet(join(X_114,X_35),join(meet(X_112,join(X_114,X_35)),X_114))
| join(X_114,meet(X_112,join(X_35,X_114))) = join(X_114,meet(join(X_114,X_35),X_112)) ),
inference(resolve,[$cnf( $equal(join(X_114,meet(X_112,join(X_35,X_114))),meet(join(X_114,X_35),join(meet(X_112,join(X_114,X_35)),X_114))) )],[refute_0_1067,refute_0_1104]) ).
cnf(refute_0_1106,plain,
join(X_114,meet(X_112,join(X_35,X_114))) = join(X_114,meet(join(X_114,X_35),X_112)),
inference(resolve,[$cnf( $equal(join(meet(X_112,join(X_114,X_35)),meet(join(X_114,X_35),X_114)),meet(join(X_114,X_35),join(meet(X_112,join(X_114,X_35)),X_114))) )],[refute_0_1030,refute_0_1105]) ).
cnf(refute_0_1107,plain,
join(meet(X,Y),meet(join(X,Y),join(X_207,meet(X,Y)))) = join(meet(X,Y),meet(join(meet(X,Y),X_207),join(X,Y))),
inference(subst,[],[refute_0_1106:[bind(X_112,$fot(join(X,Y))),bind(X_114,$fot(meet(X,Y))),bind(X_35,$fot(X_207))]]) ).
cnf(refute_0_1108,plain,
( join(meet(X,Y),meet(join(X,Y),join(X_207,meet(X,Y)))) != join(meet(X,Y),meet(join(meet(X,Y),X_207),join(X,Y)))
| join(meet(X,Y),meet(join(meet(X,Y),X_207),join(X,Y))) = join(meet(X,Y),meet(join(X,Y),join(X_207,meet(X,Y)))) ),
inference(subst,[],[refute_0_16:[bind(X0,$fot(join(meet(X,Y),meet(join(X,Y),join(X_207,meet(X,Y)))))),bind(Y0,$fot(join(meet(X,Y),meet(join(meet(X,Y),X_207),join(X,Y)))))]]) ).
cnf(refute_0_1109,plain,
join(meet(X,Y),meet(join(meet(X,Y),X_207),join(X,Y))) = join(meet(X,Y),meet(join(X,Y),join(X_207,meet(X,Y)))),
inference(resolve,[$cnf( $equal(join(meet(X,Y),meet(join(X,Y),join(X_207,meet(X,Y)))),join(meet(X,Y),meet(join(meet(X,Y),X_207),join(X,Y)))) )],[refute_0_1107,refute_0_1108]) ).
cnf(refute_0_1110,plain,
( join(meet(X,Y),meet(Y,join(meet(X,Y),X_207))) != meet(Y,join(meet(X,Y),meet(join(meet(X,Y),X_207),join(X,Y))))
| join(meet(X,Y),meet(join(meet(X,Y),X_207),join(X,Y))) != join(meet(X,Y),meet(join(X,Y),join(X_207,meet(X,Y))))
| join(meet(X,Y),meet(Y,join(meet(X,Y),X_207))) = meet(Y,join(meet(X,Y),meet(join(X,Y),join(X_207,meet(X,Y))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X,Y),meet(Y,join(meet(X,Y),X_207))),meet(Y,join(meet(X,Y),meet(join(meet(X,Y),X_207),join(X,Y))))) ),[1,1],$fot(join(meet(X,Y),meet(join(X,Y),join(X_207,meet(X,Y)))))]]) ).
cnf(refute_0_1111,plain,
( join(meet(X,Y),meet(Y,join(meet(X,Y),X_207))) != meet(Y,join(meet(X,Y),meet(join(meet(X,Y),X_207),join(X,Y))))
| join(meet(X,Y),meet(Y,join(meet(X,Y),X_207))) = meet(Y,join(meet(X,Y),meet(join(X,Y),join(X_207,meet(X,Y))))) ),
inference(resolve,[$cnf( $equal(join(meet(X,Y),meet(join(meet(X,Y),X_207),join(X,Y))),join(meet(X,Y),meet(join(X,Y),join(X_207,meet(X,Y))))) )],[refute_0_1109,refute_0_1110]) ).
cnf(refute_0_1112,plain,
join(meet(X,Y),meet(Y,join(meet(X,Y),X_207))) = meet(Y,join(meet(X,Y),meet(join(X,Y),join(X_207,meet(X,Y))))),
inference(resolve,[$cnf( $equal(join(meet(X,Y),meet(Y,join(meet(X,Y),X_207))),meet(Y,join(meet(X,Y),meet(join(meet(X,Y),X_207),join(X,Y))))) )],[refute_0_1018,refute_0_1111]) ).
cnf(refute_0_1113,plain,
join(meet(X,Y),meet(Y,join(meet(X,Y),X_207))) = meet(Y,join(meet(X,Y),X_207)),
inference(subst,[],[refute_0_47:[bind(Y,$fot(X)),bind(X_39,$fot(X_207)),bind(X_41,$fot(Y))]]) ).
cnf(refute_0_1114,plain,
( join(meet(X,Y),meet(Y,join(meet(X,Y),X_207))) != meet(Y,join(meet(X,Y),X_207))
| join(meet(X,Y),meet(Y,join(meet(X,Y),X_207))) != meet(Y,join(meet(X,Y),meet(join(X,Y),join(X_207,meet(X,Y)))))
| meet(Y,join(meet(X,Y),X_207)) = meet(Y,join(meet(X,Y),meet(join(X,Y),join(X_207,meet(X,Y))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X,Y),meet(Y,join(meet(X,Y),X_207))),meet(Y,join(meet(X,Y),meet(join(X,Y),join(X_207,meet(X,Y)))))) ),[0],$fot(meet(Y,join(meet(X,Y),X_207)))]]) ).
cnf(refute_0_1115,plain,
( join(meet(X,Y),meet(Y,join(meet(X,Y),X_207))) != meet(Y,join(meet(X,Y),meet(join(X,Y),join(X_207,meet(X,Y)))))
| meet(Y,join(meet(X,Y),X_207)) = meet(Y,join(meet(X,Y),meet(join(X,Y),join(X_207,meet(X,Y))))) ),
inference(resolve,[$cnf( $equal(join(meet(X,Y),meet(Y,join(meet(X,Y),X_207))),meet(Y,join(meet(X,Y),X_207))) )],[refute_0_1113,refute_0_1114]) ).
cnf(refute_0_1116,plain,
join(meet(Y,X_27),meet(X_26,meet(X_27,meet(Y,X_27)))) = meet(Y,X_27),
inference(subst,[],[refute_0_62:[bind(X,$fot(meet(Y,X_27))),bind(X_22,$fot(X_26)),bind(X_23,$fot(X_27))]]) ).
cnf(refute_0_1117,plain,
meet(X_27,meet(Y,X_27)) = meet(X_27,Y),
inference(subst,[],[refute_0_11:[bind(X_15,$fot(X_27))]]) ).
cnf(refute_0_1118,plain,
( join(meet(Y,X_27),meet(X_26,meet(X_27,meet(Y,X_27)))) != meet(Y,X_27)
| meet(X_27,meet(Y,X_27)) != meet(X_27,Y)
| join(meet(Y,X_27),meet(X_26,meet(X_27,Y))) = meet(Y,X_27) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(Y,X_27),meet(X_26,meet(X_27,meet(Y,X_27)))),meet(Y,X_27)) ),[0,1,1],$fot(meet(X_27,Y))]]) ).
cnf(refute_0_1119,plain,
( join(meet(Y,X_27),meet(X_26,meet(X_27,meet(Y,X_27)))) != meet(Y,X_27)
| join(meet(Y,X_27),meet(X_26,meet(X_27,Y))) = meet(Y,X_27) ),
inference(resolve,[$cnf( $equal(meet(X_27,meet(Y,X_27)),meet(X_27,Y)) )],[refute_0_1117,refute_0_1118]) ).
cnf(refute_0_1120,plain,
join(meet(Y,X_27),meet(X_26,meet(X_27,Y))) = meet(Y,X_27),
inference(resolve,[$cnf( $equal(join(meet(Y,X_27),meet(X_26,meet(X_27,meet(Y,X_27)))),meet(Y,X_27)) )],[refute_0_1116,refute_0_1119]) ).
cnf(refute_0_1121,plain,
join(meet(join(meet(X_148,X_149),Y),X_149),meet(X_148,meet(X_149,join(meet(X_148,X_149),Y)))) = meet(join(meet(X_148,X_149),Y),X_149),
inference(subst,[],[refute_0_1120:[bind(Y,$fot(join(meet(X_148,X_149),Y))),bind(X_26,$fot(X_148)),bind(X_27,$fot(X_149))]]) ).
cnf(refute_0_1122,plain,
meet(X_148,meet(X_149,join(meet(X_148,X_149),Y))) = meet(X_148,X_149),
inference(subst,[],[refute_0_37:[bind(X_22,$fot(X_148)),bind(X_23,$fot(X_149))]]) ).
cnf(refute_0_1123,plain,
( join(meet(join(meet(X_148,X_149),Y),X_149),meet(X_148,meet(X_149,join(meet(X_148,X_149),Y)))) != meet(join(meet(X_148,X_149),Y),X_149)
| meet(X_148,meet(X_149,join(meet(X_148,X_149),Y))) != meet(X_148,X_149)
| join(meet(join(meet(X_148,X_149),Y),X_149),meet(X_148,X_149)) = meet(join(meet(X_148,X_149),Y),X_149) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(join(meet(X_148,X_149),Y),X_149),meet(X_148,meet(X_149,join(meet(X_148,X_149),Y)))),meet(join(meet(X_148,X_149),Y),X_149)) ),[0,1],$fot(meet(X_148,X_149))]]) ).
cnf(refute_0_1124,plain,
( join(meet(join(meet(X_148,X_149),Y),X_149),meet(X_148,meet(X_149,join(meet(X_148,X_149),Y)))) != meet(join(meet(X_148,X_149),Y),X_149)
| join(meet(join(meet(X_148,X_149),Y),X_149),meet(X_148,X_149)) = meet(join(meet(X_148,X_149),Y),X_149) ),
inference(resolve,[$cnf( $equal(meet(X_148,meet(X_149,join(meet(X_148,X_149),Y))),meet(X_148,X_149)) )],[refute_0_1122,refute_0_1123]) ).
cnf(refute_0_1125,plain,
join(meet(join(meet(X_148,X_149),Y),X_149),meet(X_148,X_149)) = meet(join(meet(X_148,X_149),Y),X_149),
inference(resolve,[$cnf( $equal(join(meet(join(meet(X_148,X_149),Y),X_149),meet(X_148,meet(X_149,join(meet(X_148,X_149),Y)))),meet(join(meet(X_148,X_149),Y),X_149)) )],[refute_0_1121,refute_0_1124]) ).
cnf(refute_0_1126,plain,
join(meet(join(X_132,X_131),X_70),X_30) = join(X_30,meet(X_70,join(X_132,X_131))),
inference(subst,[],[refute_0_135:[bind(X_69,$fot(join(X_132,X_131)))]]) ).
cnf(refute_0_1127,plain,
meet(join(join(X_100,meet(X_99,join(X_100,X_29))),X_29),Z) = meet(join(join(X_100,meet(X_99,join(X_100,X_29))),X_29),meet(join(X_29,join(X_100,meet(X_99,join(X_100,X_29)))),Z)),
inference(subst,[],[refute_0_220:[bind(X_28,$fot(join(X_100,meet(X_99,join(X_100,X_29)))))]]) ).
cnf(refute_0_1128,plain,
join(join(X_29,X_28),meet(X_22,meet(join(X_28,X_29),join(X_29,X_28)))) = join(X_29,X_28),
inference(subst,[],[refute_0_62:[bind(X,$fot(join(X_29,X_28))),bind(X_23,$fot(join(X_28,X_29)))]]) ).
cnf(refute_0_1129,plain,
( join(join(X_29,X_28),meet(X_22,meet(join(X_28,X_29),join(X_29,X_28)))) != join(X_29,X_28)
| meet(join(X_28,X_29),join(X_29,X_28)) != join(X_28,X_29)
| join(join(X_29,X_28),meet(X_22,join(X_28,X_29))) = join(X_29,X_28) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(X_29,X_28),meet(X_22,meet(join(X_28,X_29),join(X_29,X_28)))),join(X_29,X_28)) ),[0,1,1],$fot(join(X_28,X_29))]]) ).
cnf(refute_0_1130,plain,
( join(join(X_29,X_28),meet(X_22,meet(join(X_28,X_29),join(X_29,X_28)))) != join(X_29,X_28)
| join(join(X_29,X_28),meet(X_22,join(X_28,X_29))) = join(X_29,X_28) ),
inference(resolve,[$cnf( $equal(meet(join(X_28,X_29),join(X_29,X_28)),join(X_28,X_29)) )],[refute_0_217,refute_0_1129]) ).
cnf(refute_0_1131,plain,
join(join(X_29,X_28),meet(X_22,join(X_28,X_29))) = join(X_29,X_28),
inference(resolve,[$cnf( $equal(join(join(X_29,X_28),meet(X_22,meet(join(X_28,X_29),join(X_29,X_28)))),join(X_29,X_28)) )],[refute_0_1128,refute_0_1130]) ).
cnf(refute_0_1132,plain,
join(join(X_29,X_28),meet(X_22,join(X_28,X_29))) = join(X_29,join(X_28,meet(X_22,join(X_28,X_29)))),
inference(subst,[],[associativity_of_join:[bind(X,$fot(X_29)),bind(Y,$fot(X_28)),bind(Z,$fot(meet(X_22,join(X_28,X_29))))]]) ).
cnf(refute_0_1133,plain,
( join(join(X_29,X_28),meet(X_22,join(X_28,X_29))) != join(X_29,X_28)
| join(join(X_29,X_28),meet(X_22,join(X_28,X_29))) != join(X_29,join(X_28,meet(X_22,join(X_28,X_29))))
| join(X_29,join(X_28,meet(X_22,join(X_28,X_29)))) = join(X_29,X_28) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(X_29,X_28),meet(X_22,join(X_28,X_29))),join(X_29,X_28)) ),[0],$fot(join(X_29,join(X_28,meet(X_22,join(X_28,X_29)))))]]) ).
cnf(refute_0_1134,plain,
( join(join(X_29,X_28),meet(X_22,join(X_28,X_29))) != join(X_29,X_28)
| join(X_29,join(X_28,meet(X_22,join(X_28,X_29)))) = join(X_29,X_28) ),
inference(resolve,[$cnf( $equal(join(join(X_29,X_28),meet(X_22,join(X_28,X_29))),join(X_29,join(X_28,meet(X_22,join(X_28,X_29))))) )],[refute_0_1132,refute_0_1133]) ).
cnf(refute_0_1135,plain,
join(X_29,join(X_28,meet(X_22,join(X_28,X_29)))) = join(X_29,X_28),
inference(resolve,[$cnf( $equal(join(join(X_29,X_28),meet(X_22,join(X_28,X_29))),join(X_29,X_28)) )],[refute_0_1131,refute_0_1134]) ).
cnf(refute_0_1136,plain,
join(X_29,join(X_100,meet(X_99,join(X_100,X_29)))) = join(X_29,X_100),
inference(subst,[],[refute_0_1135:[bind(X_22,$fot(X_99)),bind(X_28,$fot(X_100))]]) ).
cnf(refute_0_1137,plain,
( join(X_29,join(X_100,meet(X_99,join(X_100,X_29)))) != join(X_29,X_100)
| meet(join(join(X_100,meet(X_99,join(X_100,X_29))),X_29),Z) != meet(join(join(X_100,meet(X_99,join(X_100,X_29))),X_29),meet(join(X_29,join(X_100,meet(X_99,join(X_100,X_29)))),Z))
| meet(join(join(X_100,meet(X_99,join(X_100,X_29))),X_29),Z) = meet(join(join(X_100,meet(X_99,join(X_100,X_29))),X_29),meet(join(X_29,X_100),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(join(X_100,meet(X_99,join(X_100,X_29))),X_29),Z),meet(join(join(X_100,meet(X_99,join(X_100,X_29))),X_29),meet(join(X_29,join(X_100,meet(X_99,join(X_100,X_29)))),Z))) ),[1,1,0],$fot(join(X_29,X_100))]]) ).
cnf(refute_0_1138,plain,
( meet(join(join(X_100,meet(X_99,join(X_100,X_29))),X_29),Z) != meet(join(join(X_100,meet(X_99,join(X_100,X_29))),X_29),meet(join(X_29,join(X_100,meet(X_99,join(X_100,X_29)))),Z))
| meet(join(join(X_100,meet(X_99,join(X_100,X_29))),X_29),Z) = meet(join(join(X_100,meet(X_99,join(X_100,X_29))),X_29),meet(join(X_29,X_100),Z)) ),
inference(resolve,[$cnf( $equal(join(X_29,join(X_100,meet(X_99,join(X_100,X_29)))),join(X_29,X_100)) )],[refute_0_1136,refute_0_1137]) ).
cnf(refute_0_1139,plain,
meet(join(join(X_100,meet(X_99,join(X_100,X_29))),X_29),Z) = meet(join(join(X_100,meet(X_99,join(X_100,X_29))),X_29),meet(join(X_29,X_100),Z)),
inference(resolve,[$cnf( $equal(meet(join(join(X_100,meet(X_99,join(X_100,X_29))),X_29),Z),meet(join(join(X_100,meet(X_99,join(X_100,X_29))),X_29),meet(join(X_29,join(X_100,meet(X_99,join(X_100,X_29)))),Z))) )],[refute_0_1127,refute_0_1138]) ).
cnf(refute_0_1140,plain,
meet(join(X_29,join(X_100,meet(X_99,join(X_100,X_29)))),Z) = meet(join(X_29,join(X_100,meet(X_99,join(X_100,X_29)))),Z),
introduced(tautology,[refl,[$fot(meet(join(X_29,join(X_100,meet(X_99,join(X_100,X_29)))),Z))]]) ).
cnf(refute_0_1141,plain,
( join(X_29,join(X_100,meet(X_99,join(X_100,X_29)))) != join(X_29,X_100)
| meet(join(X_29,join(X_100,meet(X_99,join(X_100,X_29)))),Z) != meet(join(X_29,join(X_100,meet(X_99,join(X_100,X_29)))),Z)
| meet(join(X_29,join(X_100,meet(X_99,join(X_100,X_29)))),Z) = meet(join(X_29,X_100),Z) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_29,join(X_100,meet(X_99,join(X_100,X_29)))),Z),meet(join(X_29,join(X_100,meet(X_99,join(X_100,X_29)))),Z)) ),[1,0],$fot(join(X_29,X_100))]]) ).
cnf(refute_0_1142,plain,
( join(X_29,join(X_100,meet(X_99,join(X_100,X_29)))) != join(X_29,X_100)
| meet(join(X_29,join(X_100,meet(X_99,join(X_100,X_29)))),Z) = meet(join(X_29,X_100),Z) ),
inference(resolve,[$cnf( $equal(meet(join(X_29,join(X_100,meet(X_99,join(X_100,X_29)))),Z),meet(join(X_29,join(X_100,meet(X_99,join(X_100,X_29)))),Z)) )],[refute_0_1140,refute_0_1141]) ).
cnf(refute_0_1143,plain,
meet(join(X_29,join(X_100,meet(X_99,join(X_100,X_29)))),Z) = meet(join(X_29,X_100),Z),
inference(resolve,[$cnf( $equal(join(X_29,join(X_100,meet(X_99,join(X_100,X_29)))),join(X_29,X_100)) )],[refute_0_1136,refute_0_1142]) ).
cnf(refute_0_1144,plain,
meet(join(join(meet(X_29,X_96),X_98),X_29),Z) = meet(join(join(meet(X_29,X_96),X_98),X_29),meet(join(X_29,join(meet(X_29,X_96),X_98)),Z)),
inference(subst,[],[refute_0_220:[bind(X_28,$fot(join(meet(X_29,X_96),X_98)))]]) ).
cnf(refute_0_1145,plain,
join(join(X_30,meet(X_30,Y)),X_32) = join(X_30,join(meet(X_30,Y),X_32)),
inference(subst,[],[associativity_of_join:[bind(X,$fot(X_30)),bind(Y,$fot(meet(X_30,Y))),bind(Z,$fot(X_32))]]) ).
cnf(refute_0_1146,plain,
join(X_30,meet(X_30,Y)) = X_30,
inference(subst,[],[absorption2:[bind(X,$fot(X_30))]]) ).
cnf(refute_0_1147,plain,
( join(X_30,meet(X_30,Y)) != X_30
| join(join(X_30,meet(X_30,Y)),X_32) != join(X_30,join(meet(X_30,Y),X_32))
| join(X_30,X_32) = join(X_30,join(meet(X_30,Y),X_32)) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(X_30,meet(X_30,Y)),X_32),join(X_30,join(meet(X_30,Y),X_32))) ),[0,0],$fot(X_30)]]) ).
cnf(refute_0_1148,plain,
( join(join(X_30,meet(X_30,Y)),X_32) != join(X_30,join(meet(X_30,Y),X_32))
| join(X_30,X_32) = join(X_30,join(meet(X_30,Y),X_32)) ),
inference(resolve,[$cnf( $equal(join(X_30,meet(X_30,Y)),X_30) )],[refute_0_1146,refute_0_1147]) ).
cnf(refute_0_1149,plain,
join(X_30,X_32) = join(X_30,join(meet(X_30,Y),X_32)),
inference(resolve,[$cnf( $equal(join(join(X_30,meet(X_30,Y)),X_32),join(X_30,join(meet(X_30,Y),X_32))) )],[refute_0_1145,refute_0_1148]) ).
cnf(refute_0_1150,plain,
join(X_29,X_98) = join(X_29,join(meet(X_29,X_96),X_98)),
inference(subst,[],[refute_0_1149:[bind(Y,$fot(X_96)),bind(X_30,$fot(X_29)),bind(X_32,$fot(X_98))]]) ).
cnf(refute_0_1151,plain,
( join(X_29,X_98) != join(X_29,join(meet(X_29,X_96),X_98))
| join(X_29,join(meet(X_29,X_96),X_98)) = join(X_29,X_98) ),
inference(subst,[],[refute_0_16:[bind(X0,$fot(join(X_29,X_98))),bind(Y0,$fot(join(X_29,join(meet(X_29,X_96),X_98))))]]) ).
cnf(refute_0_1152,plain,
join(X_29,join(meet(X_29,X_96),X_98)) = join(X_29,X_98),
inference(resolve,[$cnf( $equal(join(X_29,X_98),join(X_29,join(meet(X_29,X_96),X_98))) )],[refute_0_1150,refute_0_1151]) ).
cnf(refute_0_1153,plain,
( join(X_29,join(meet(X_29,X_96),X_98)) != join(X_29,X_98)
| meet(join(join(meet(X_29,X_96),X_98),X_29),Z) != meet(join(join(meet(X_29,X_96),X_98),X_29),meet(join(X_29,join(meet(X_29,X_96),X_98)),Z))
| meet(join(join(meet(X_29,X_96),X_98),X_29),Z) = meet(join(join(meet(X_29,X_96),X_98),X_29),meet(join(X_29,X_98),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(join(meet(X_29,X_96),X_98),X_29),Z),meet(join(join(meet(X_29,X_96),X_98),X_29),meet(join(X_29,join(meet(X_29,X_96),X_98)),Z))) ),[1,1,0],$fot(join(X_29,X_98))]]) ).
cnf(refute_0_1154,plain,
( meet(join(join(meet(X_29,X_96),X_98),X_29),Z) != meet(join(join(meet(X_29,X_96),X_98),X_29),meet(join(X_29,join(meet(X_29,X_96),X_98)),Z))
| meet(join(join(meet(X_29,X_96),X_98),X_29),Z) = meet(join(join(meet(X_29,X_96),X_98),X_29),meet(join(X_29,X_98),Z)) ),
inference(resolve,[$cnf( $equal(join(X_29,join(meet(X_29,X_96),X_98)),join(X_29,X_98)) )],[refute_0_1152,refute_0_1153]) ).
cnf(refute_0_1155,plain,
meet(join(join(meet(X_29,X_96),X_98),X_29),Z) = meet(join(join(meet(X_29,X_96),X_98),X_29),meet(join(X_29,X_98),Z)),
inference(resolve,[$cnf( $equal(meet(join(join(meet(X_29,X_96),X_98),X_29),Z),meet(join(join(meet(X_29,X_96),X_98),X_29),meet(join(X_29,join(meet(X_29,X_96),X_98)),Z))) )],[refute_0_1144,refute_0_1154]) ).
cnf(refute_0_1156,plain,
meet(join(X_29,join(meet(X_29,X_96),X_98)),Z) = meet(join(X_29,join(meet(X_29,X_96),X_98)),Z),
introduced(tautology,[refl,[$fot(meet(join(X_29,join(meet(X_29,X_96),X_98)),Z))]]) ).
cnf(refute_0_1157,plain,
( join(X_29,join(meet(X_29,X_96),X_98)) != join(X_29,X_98)
| meet(join(X_29,join(meet(X_29,X_96),X_98)),Z) != meet(join(X_29,join(meet(X_29,X_96),X_98)),Z)
| meet(join(X_29,join(meet(X_29,X_96),X_98)),Z) = meet(join(X_29,X_98),Z) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_29,join(meet(X_29,X_96),X_98)),Z),meet(join(X_29,join(meet(X_29,X_96),X_98)),Z)) ),[1,0],$fot(join(X_29,X_98))]]) ).
cnf(refute_0_1158,plain,
( join(X_29,join(meet(X_29,X_96),X_98)) != join(X_29,X_98)
| meet(join(X_29,join(meet(X_29,X_96),X_98)),Z) = meet(join(X_29,X_98),Z) ),
inference(resolve,[$cnf( $equal(meet(join(X_29,join(meet(X_29,X_96),X_98)),Z),meet(join(X_29,join(meet(X_29,X_96),X_98)),Z)) )],[refute_0_1156,refute_0_1157]) ).
cnf(refute_0_1159,plain,
meet(join(X_29,join(meet(X_29,X_96),X_98)),Z) = meet(join(X_29,X_98),Z),
inference(resolve,[$cnf( $equal(join(X_29,join(meet(X_29,X_96),X_98)),join(X_29,X_98)) )],[refute_0_1152,refute_0_1158]) ).
cnf(refute_0_1160,plain,
meet(join(join(meet(X_89,meet(X_90,X_29)),X_92),X_29),Z) = meet(join(join(meet(X_89,meet(X_90,X_29)),X_92),X_29),meet(join(X_29,join(meet(X_89,meet(X_90,X_29)),X_92)),Z)),
inference(subst,[],[refute_0_220:[bind(X_28,$fot(join(meet(X_89,meet(X_90,X_29)),X_92)))]]) ).
cnf(refute_0_1161,plain,
join(X_29,X_92) = join(X_29,join(meet(X_89,meet(X_90,X_29)),X_92)),
inference(subst,[],[refute_0_347:[bind(X_22,$fot(X_89)),bind(X_23,$fot(X_90)),bind(X_30,$fot(X_29)),bind(X_32,$fot(X_92))]]) ).
cnf(refute_0_1162,plain,
( join(X_29,X_92) != join(X_29,join(meet(X_89,meet(X_90,X_29)),X_92))
| join(X_29,join(meet(X_89,meet(X_90,X_29)),X_92)) = join(X_29,X_92) ),
inference(subst,[],[refute_0_16:[bind(X0,$fot(join(X_29,X_92))),bind(Y0,$fot(join(X_29,join(meet(X_89,meet(X_90,X_29)),X_92))))]]) ).
cnf(refute_0_1163,plain,
join(X_29,join(meet(X_89,meet(X_90,X_29)),X_92)) = join(X_29,X_92),
inference(resolve,[$cnf( $equal(join(X_29,X_92),join(X_29,join(meet(X_89,meet(X_90,X_29)),X_92))) )],[refute_0_1161,refute_0_1162]) ).
cnf(refute_0_1164,plain,
( join(X_29,join(meet(X_89,meet(X_90,X_29)),X_92)) != join(X_29,X_92)
| meet(join(join(meet(X_89,meet(X_90,X_29)),X_92),X_29),Z) != meet(join(join(meet(X_89,meet(X_90,X_29)),X_92),X_29),meet(join(X_29,join(meet(X_89,meet(X_90,X_29)),X_92)),Z))
| meet(join(join(meet(X_89,meet(X_90,X_29)),X_92),X_29),Z) = meet(join(join(meet(X_89,meet(X_90,X_29)),X_92),X_29),meet(join(X_29,X_92),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(join(meet(X_89,meet(X_90,X_29)),X_92),X_29),Z),meet(join(join(meet(X_89,meet(X_90,X_29)),X_92),X_29),meet(join(X_29,join(meet(X_89,meet(X_90,X_29)),X_92)),Z))) ),[1,1,0],$fot(join(X_29,X_92))]]) ).
cnf(refute_0_1165,plain,
( meet(join(join(meet(X_89,meet(X_90,X_29)),X_92),X_29),Z) != meet(join(join(meet(X_89,meet(X_90,X_29)),X_92),X_29),meet(join(X_29,join(meet(X_89,meet(X_90,X_29)),X_92)),Z))
| meet(join(join(meet(X_89,meet(X_90,X_29)),X_92),X_29),Z) = meet(join(join(meet(X_89,meet(X_90,X_29)),X_92),X_29),meet(join(X_29,X_92),Z)) ),
inference(resolve,[$cnf( $equal(join(X_29,join(meet(X_89,meet(X_90,X_29)),X_92)),join(X_29,X_92)) )],[refute_0_1163,refute_0_1164]) ).
cnf(refute_0_1166,plain,
meet(join(join(meet(X_89,meet(X_90,X_29)),X_92),X_29),Z) = meet(join(join(meet(X_89,meet(X_90,X_29)),X_92),X_29),meet(join(X_29,X_92),Z)),
inference(resolve,[$cnf( $equal(meet(join(join(meet(X_89,meet(X_90,X_29)),X_92),X_29),Z),meet(join(join(meet(X_89,meet(X_90,X_29)),X_92),X_29),meet(join(X_29,join(meet(X_89,meet(X_90,X_29)),X_92)),Z))) )],[refute_0_1160,refute_0_1165]) ).
cnf(refute_0_1167,plain,
meet(join(X_29,join(meet(X_89,meet(X_90,X_29)),X_92)),Z) = meet(join(X_29,join(meet(X_89,meet(X_90,X_29)),X_92)),Z),
introduced(tautology,[refl,[$fot(meet(join(X_29,join(meet(X_89,meet(X_90,X_29)),X_92)),Z))]]) ).
cnf(refute_0_1168,plain,
( join(X_29,join(meet(X_89,meet(X_90,X_29)),X_92)) != join(X_29,X_92)
| meet(join(X_29,join(meet(X_89,meet(X_90,X_29)),X_92)),Z) != meet(join(X_29,join(meet(X_89,meet(X_90,X_29)),X_92)),Z)
| meet(join(X_29,join(meet(X_89,meet(X_90,X_29)),X_92)),Z) = meet(join(X_29,X_92),Z) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_29,join(meet(X_89,meet(X_90,X_29)),X_92)),Z),meet(join(X_29,join(meet(X_89,meet(X_90,X_29)),X_92)),Z)) ),[1,0],$fot(join(X_29,X_92))]]) ).
cnf(refute_0_1169,plain,
( join(X_29,join(meet(X_89,meet(X_90,X_29)),X_92)) != join(X_29,X_92)
| meet(join(X_29,join(meet(X_89,meet(X_90,X_29)),X_92)),Z) = meet(join(X_29,X_92),Z) ),
inference(resolve,[$cnf( $equal(meet(join(X_29,join(meet(X_89,meet(X_90,X_29)),X_92)),Z),meet(join(X_29,join(meet(X_89,meet(X_90,X_29)),X_92)),Z)) )],[refute_0_1167,refute_0_1168]) ).
cnf(refute_0_1170,plain,
meet(join(X_29,join(meet(X_89,meet(X_90,X_29)),X_92)),Z) = meet(join(X_29,X_92),Z),
inference(resolve,[$cnf( $equal(join(X_29,join(meet(X_89,meet(X_90,X_29)),X_92)),join(X_29,X_92)) )],[refute_0_1163,refute_0_1169]) ).
cnf(refute_0_1171,plain,
meet(join(X_85,X_84),Y) = meet(Y,join(X_85,X_84)),
inference(subst,[],[commutativity_of_meet:[bind(X,$fot(join(X_85,X_84)))]]) ).
cnf(refute_0_1172,plain,
meet(Y,join(X_85,X_84)) = meet(join(X_84,X_85),Y),
inference(subst,[],[refute_0_238:[bind(X_81,$fot(X_84)),bind(X_82,$fot(X_85))]]) ).
cnf(refute_0_1173,plain,
( meet(Y,join(X_85,X_84)) != meet(join(X_84,X_85),Y)
| meet(join(X_85,X_84),Y) != meet(Y,join(X_85,X_84))
| meet(join(X_85,X_84),Y) = meet(join(X_84,X_85),Y) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_85,X_84),Y),meet(Y,join(X_85,X_84))) ),[1],$fot(meet(join(X_84,X_85),Y))]]) ).
cnf(refute_0_1174,plain,
( meet(join(X_85,X_84),Y) != meet(Y,join(X_85,X_84))
| meet(join(X_85,X_84),Y) = meet(join(X_84,X_85),Y) ),
inference(resolve,[$cnf( $equal(meet(Y,join(X_85,X_84)),meet(join(X_84,X_85),Y)) )],[refute_0_1172,refute_0_1173]) ).
cnf(refute_0_1175,plain,
meet(join(X_85,X_84),Y) = meet(join(X_84,X_85),Y),
inference(resolve,[$cnf( $equal(meet(join(X_85,X_84),Y),meet(Y,join(X_85,X_84))) )],[refute_0_1171,refute_0_1174]) ).
cnf(refute_0_1176,plain,
( meet(join(X_85,X_84),Y) != meet(join(X_84,X_85),Y)
| meet(join(X_84,X_85),Y) = meet(join(X_85,X_84),Y) ),
inference(subst,[],[refute_0_16:[bind(X0,$fot(meet(join(X_85,X_84),Y))),bind(Y0,$fot(meet(join(X_84,X_85),Y)))]]) ).
cnf(refute_0_1177,plain,
meet(join(X_84,X_85),Y) = meet(join(X_85,X_84),Y),
inference(resolve,[$cnf( $equal(meet(join(X_85,X_84),Y),meet(join(X_84,X_85),Y)) )],[refute_0_1175,refute_0_1176]) ).
cnf(refute_0_1178,plain,
meet(join(join(meet(X_89,meet(X_90,X_29)),X_92),X_29),Z) = meet(join(X_29,join(meet(X_89,meet(X_90,X_29)),X_92)),Z),
inference(subst,[],[refute_0_1177:[bind(Y,$fot(Z)),bind(X_84,$fot(join(meet(X_89,meet(X_90,X_29)),X_92))),bind(X_85,$fot(X_29))]]) ).
cnf(refute_0_1179,plain,
( meet(join(X_29,join(meet(X_89,meet(X_90,X_29)),X_92)),Z) != meet(join(X_29,X_92),Z)
| meet(join(join(meet(X_89,meet(X_90,X_29)),X_92),X_29),Z) != meet(join(X_29,join(meet(X_89,meet(X_90,X_29)),X_92)),Z)
| meet(join(join(meet(X_89,meet(X_90,X_29)),X_92),X_29),Z) = meet(join(X_29,X_92),Z) ),
inference(subst,[],[refute_0_93:[bind(X0,$fot(meet(join(join(meet(X_89,meet(X_90,X_29)),X_92),X_29),Z))),bind(Y0,$fot(meet(join(X_29,join(meet(X_89,meet(X_90,X_29)),X_92)),Z))),bind(Z0,$fot(meet(join(X_29,X_92),Z)))]]) ).
cnf(refute_0_1180,plain,
( meet(join(X_29,join(meet(X_89,meet(X_90,X_29)),X_92)),Z) != meet(join(X_29,X_92),Z)
| meet(join(join(meet(X_89,meet(X_90,X_29)),X_92),X_29),Z) = meet(join(X_29,X_92),Z) ),
inference(resolve,[$cnf( $equal(meet(join(join(meet(X_89,meet(X_90,X_29)),X_92),X_29),Z),meet(join(X_29,join(meet(X_89,meet(X_90,X_29)),X_92)),Z)) )],[refute_0_1178,refute_0_1179]) ).
cnf(refute_0_1181,plain,
meet(join(join(meet(X_89,meet(X_90,X_29)),X_92),X_29),Z) = meet(join(X_29,X_92),Z),
inference(resolve,[$cnf( $equal(meet(join(X_29,join(meet(X_89,meet(X_90,X_29)),X_92)),Z),meet(join(X_29,X_92),Z)) )],[refute_0_1170,refute_0_1180]) ).
cnf(refute_0_1182,plain,
( meet(join(join(meet(X_89,meet(X_90,X_29)),X_92),X_29),Z) != meet(join(X_29,X_92),Z)
| meet(join(join(meet(X_89,meet(X_90,X_29)),X_92),X_29),Z) != meet(join(join(meet(X_89,meet(X_90,X_29)),X_92),X_29),meet(join(X_29,X_92),Z))
| meet(join(X_29,X_92),Z) = meet(join(join(meet(X_89,meet(X_90,X_29)),X_92),X_29),meet(join(X_29,X_92),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(join(meet(X_89,meet(X_90,X_29)),X_92),X_29),Z),meet(join(join(meet(X_89,meet(X_90,X_29)),X_92),X_29),meet(join(X_29,X_92),Z))) ),[0],$fot(meet(join(X_29,X_92),Z))]]) ).
cnf(refute_0_1183,plain,
( meet(join(join(meet(X_89,meet(X_90,X_29)),X_92),X_29),Z) != meet(join(join(meet(X_89,meet(X_90,X_29)),X_92),X_29),meet(join(X_29,X_92),Z))
| meet(join(X_29,X_92),Z) = meet(join(join(meet(X_89,meet(X_90,X_29)),X_92),X_29),meet(join(X_29,X_92),Z)) ),
inference(resolve,[$cnf( $equal(meet(join(join(meet(X_89,meet(X_90,X_29)),X_92),X_29),Z),meet(join(X_29,X_92),Z)) )],[refute_0_1181,refute_0_1182]) ).
cnf(refute_0_1184,plain,
( meet(join(X_28,X_29),Z) != meet(join(X_28,X_29),meet(join(X_29,X_28),Z))
| meet(join(X_28,X_29),meet(join(X_29,X_28),Z)) = meet(join(X_28,X_29),Z) ),
inference(subst,[],[refute_0_16:[bind(X0,$fot(meet(join(X_28,X_29),Z))),bind(Y0,$fot(meet(join(X_28,X_29),meet(join(X_29,X_28),Z))))]]) ).
cnf(refute_0_1185,plain,
meet(join(X_28,X_29),meet(join(X_29,X_28),Z)) = meet(join(X_28,X_29),Z),
inference(resolve,[$cnf( $equal(meet(join(X_28,X_29),Z),meet(join(X_28,X_29),meet(join(X_29,X_28),Z))) )],[refute_0_220,refute_0_1184]) ).
cnf(refute_0_1186,plain,
meet(join(X_92,X_29),meet(join(X_29,X_92),Z)) = meet(join(X_92,X_29),Z),
inference(subst,[],[refute_0_1185:[bind(X_28,$fot(X_92))]]) ).
cnf(refute_0_1187,plain,
meet(join(X_92,X_29),meet(join(X_29,join(meet(X_89,meet(X_90,X_29)),X_92)),Z)) = meet(join(X_92,X_29),meet(join(X_29,join(meet(X_89,meet(X_90,X_29)),X_92)),Z)),
introduced(tautology,[refl,[$fot(meet(join(X_92,X_29),meet(join(X_29,join(meet(X_89,meet(X_90,X_29)),X_92)),Z)))]]) ).
cnf(refute_0_1188,plain,
( meet(join(X_29,join(meet(X_89,meet(X_90,X_29)),X_92)),Z) != meet(join(X_29,X_92),Z)
| meet(join(X_92,X_29),meet(join(X_29,join(meet(X_89,meet(X_90,X_29)),X_92)),Z)) != meet(join(X_92,X_29),meet(join(X_29,join(meet(X_89,meet(X_90,X_29)),X_92)),Z))
| meet(join(X_92,X_29),meet(join(X_29,join(meet(X_89,meet(X_90,X_29)),X_92)),Z)) = meet(join(X_92,X_29),meet(join(X_29,X_92),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_92,X_29),meet(join(X_29,join(meet(X_89,meet(X_90,X_29)),X_92)),Z)),meet(join(X_92,X_29),meet(join(X_29,join(meet(X_89,meet(X_90,X_29)),X_92)),Z))) ),[1,1],$fot(meet(join(X_29,X_92),Z))]]) ).
cnf(refute_0_1189,plain,
( meet(join(X_29,join(meet(X_89,meet(X_90,X_29)),X_92)),Z) != meet(join(X_29,X_92),Z)
| meet(join(X_92,X_29),meet(join(X_29,join(meet(X_89,meet(X_90,X_29)),X_92)),Z)) = meet(join(X_92,X_29),meet(join(X_29,X_92),Z)) ),
inference(resolve,[$cnf( $equal(meet(join(X_92,X_29),meet(join(X_29,join(meet(X_89,meet(X_90,X_29)),X_92)),Z)),meet(join(X_92,X_29),meet(join(X_29,join(meet(X_89,meet(X_90,X_29)),X_92)),Z))) )],[refute_0_1187,refute_0_1188]) ).
cnf(refute_0_1190,plain,
meet(join(X_92,X_29),meet(join(X_29,join(meet(X_89,meet(X_90,X_29)),X_92)),Z)) = meet(join(X_92,X_29),meet(join(X_29,X_92),Z)),
inference(resolve,[$cnf( $equal(meet(join(X_29,join(meet(X_89,meet(X_90,X_29)),X_92)),Z),meet(join(X_29,X_92),Z)) )],[refute_0_1170,refute_0_1189]) ).
cnf(refute_0_1191,plain,
( meet(join(X_92,X_29),meet(join(X_29,X_92),Z)) != meet(join(X_92,X_29),Z)
| meet(join(X_92,X_29),meet(join(X_29,join(meet(X_89,meet(X_90,X_29)),X_92)),Z)) != meet(join(X_92,X_29),meet(join(X_29,X_92),Z))
| meet(join(X_92,X_29),meet(join(X_29,join(meet(X_89,meet(X_90,X_29)),X_92)),Z)) = meet(join(X_92,X_29),Z) ),
inference(subst,[],[refute_0_93:[bind(X0,$fot(meet(join(X_92,X_29),meet(join(X_29,join(meet(X_89,meet(X_90,X_29)),X_92)),Z)))),bind(Y0,$fot(meet(join(X_92,X_29),meet(join(X_29,X_92),Z)))),bind(Z0,$fot(meet(join(X_92,X_29),Z)))]]) ).
cnf(refute_0_1192,plain,
( meet(join(X_92,X_29),meet(join(X_29,X_92),Z)) != meet(join(X_92,X_29),Z)
| meet(join(X_92,X_29),meet(join(X_29,join(meet(X_89,meet(X_90,X_29)),X_92)),Z)) = meet(join(X_92,X_29),Z) ),
inference(resolve,[$cnf( $equal(meet(join(X_92,X_29),meet(join(X_29,join(meet(X_89,meet(X_90,X_29)),X_92)),Z)),meet(join(X_92,X_29),meet(join(X_29,X_92),Z))) )],[refute_0_1190,refute_0_1191]) ).
cnf(refute_0_1193,plain,
meet(join(X_92,X_29),meet(join(X_29,join(meet(X_89,meet(X_90,X_29)),X_92)),Z)) = meet(join(X_92,X_29),Z),
inference(resolve,[$cnf( $equal(meet(join(X_92,X_29),meet(join(X_29,X_92),Z)),meet(join(X_92,X_29),Z)) )],[refute_0_1186,refute_0_1192]) ).
cnf(refute_0_1194,plain,
meet(join(X_85,X_84),meet(X_22,X_23)) = meet(X_22,meet(X_23,join(X_85,X_84))),
inference(subst,[],[refute_0_230:[bind(X,$fot(join(X_85,X_84)))]]) ).
cnf(refute_0_1195,plain,
meet(X_23,join(X_85,X_84)) = meet(join(X_84,X_85),X_23),
inference(subst,[],[refute_0_238:[bind(Y,$fot(X_23)),bind(X_81,$fot(X_84)),bind(X_82,$fot(X_85))]]) ).
cnf(refute_0_1196,plain,
( meet(X_23,join(X_85,X_84)) != meet(join(X_84,X_85),X_23)
| meet(join(X_85,X_84),meet(X_22,X_23)) != meet(X_22,meet(X_23,join(X_85,X_84)))
| meet(join(X_85,X_84),meet(X_22,X_23)) = meet(X_22,meet(join(X_84,X_85),X_23)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_85,X_84),meet(X_22,X_23)),meet(X_22,meet(X_23,join(X_85,X_84)))) ),[1,1],$fot(meet(join(X_84,X_85),X_23))]]) ).
cnf(refute_0_1197,plain,
( meet(join(X_85,X_84),meet(X_22,X_23)) != meet(X_22,meet(X_23,join(X_85,X_84)))
| meet(join(X_85,X_84),meet(X_22,X_23)) = meet(X_22,meet(join(X_84,X_85),X_23)) ),
inference(resolve,[$cnf( $equal(meet(X_23,join(X_85,X_84)),meet(join(X_84,X_85),X_23)) )],[refute_0_1195,refute_0_1196]) ).
cnf(refute_0_1198,plain,
meet(join(X_85,X_84),meet(X_22,X_23)) = meet(X_22,meet(join(X_84,X_85),X_23)),
inference(resolve,[$cnf( $equal(meet(join(X_85,X_84),meet(X_22,X_23)),meet(X_22,meet(X_23,join(X_85,X_84)))) )],[refute_0_1194,refute_0_1197]) ).
cnf(refute_0_1199,plain,
( meet(join(X_85,X_84),meet(X_22,X_23)) != meet(X_22,meet(join(X_84,X_85),X_23))
| meet(X_22,meet(join(X_84,X_85),X_23)) = meet(join(X_85,X_84),meet(X_22,X_23)) ),
inference(subst,[],[refute_0_16:[bind(X0,$fot(meet(join(X_85,X_84),meet(X_22,X_23)))),bind(Y0,$fot(meet(X_22,meet(join(X_84,X_85),X_23))))]]) ).
cnf(refute_0_1200,plain,
meet(X_22,meet(join(X_84,X_85),X_23)) = meet(join(X_85,X_84),meet(X_22,X_23)),
inference(resolve,[$cnf( $equal(meet(join(X_85,X_84),meet(X_22,X_23)),meet(X_22,meet(join(X_84,X_85),X_23))) )],[refute_0_1198,refute_0_1199]) ).
cnf(refute_0_1201,plain,
meet(join(X_29,join(meet(X_89,meet(X_90,X_29)),X_92)),meet(join(X_29,X_92),Z)) = meet(join(X_92,X_29),meet(join(X_29,join(meet(X_89,meet(X_90,X_29)),X_92)),Z)),
inference(subst,[],[refute_0_1200:[bind(X_22,$fot(join(X_29,join(meet(X_89,meet(X_90,X_29)),X_92)))),bind(X_23,$fot(Z)),bind(X_84,$fot(X_29)),bind(X_85,$fot(X_92))]]) ).
cnf(refute_0_1202,plain,
meet(join(join(meet(X_89,meet(X_90,X_29)),X_92),X_29),meet(join(X_29,X_92),Z)) = meet(join(X_29,join(meet(X_89,meet(X_90,X_29)),X_92)),meet(join(X_29,X_92),Z)),
inference(subst,[],[refute_0_1177:[bind(Y,$fot(meet(join(X_29,X_92),Z))),bind(X_84,$fot(join(meet(X_89,meet(X_90,X_29)),X_92))),bind(X_85,$fot(X_29))]]) ).
cnf(refute_0_1203,plain,
( meet(join(X_29,join(meet(X_89,meet(X_90,X_29)),X_92)),meet(join(X_29,X_92),Z)) != meet(join(X_92,X_29),meet(join(X_29,join(meet(X_89,meet(X_90,X_29)),X_92)),Z))
| meet(join(join(meet(X_89,meet(X_90,X_29)),X_92),X_29),meet(join(X_29,X_92),Z)) != meet(join(X_29,join(meet(X_89,meet(X_90,X_29)),X_92)),meet(join(X_29,X_92),Z))
| meet(join(join(meet(X_89,meet(X_90,X_29)),X_92),X_29),meet(join(X_29,X_92),Z)) = meet(join(X_92,X_29),meet(join(X_29,join(meet(X_89,meet(X_90,X_29)),X_92)),Z)) ),
inference(subst,[],[refute_0_93:[bind(X0,$fot(meet(join(join(meet(X_89,meet(X_90,X_29)),X_92),X_29),meet(join(X_29,X_92),Z)))),bind(Y0,$fot(meet(join(X_29,join(meet(X_89,meet(X_90,X_29)),X_92)),meet(join(X_29,X_92),Z)))),bind(Z0,$fot(meet(join(X_92,X_29),meet(join(X_29,join(meet(X_89,meet(X_90,X_29)),X_92)),Z))))]]) ).
cnf(refute_0_1204,plain,
( meet(join(X_29,join(meet(X_89,meet(X_90,X_29)),X_92)),meet(join(X_29,X_92),Z)) != meet(join(X_92,X_29),meet(join(X_29,join(meet(X_89,meet(X_90,X_29)),X_92)),Z))
| meet(join(join(meet(X_89,meet(X_90,X_29)),X_92),X_29),meet(join(X_29,X_92),Z)) = meet(join(X_92,X_29),meet(join(X_29,join(meet(X_89,meet(X_90,X_29)),X_92)),Z)) ),
inference(resolve,[$cnf( $equal(meet(join(join(meet(X_89,meet(X_90,X_29)),X_92),X_29),meet(join(X_29,X_92),Z)),meet(join(X_29,join(meet(X_89,meet(X_90,X_29)),X_92)),meet(join(X_29,X_92),Z))) )],[refute_0_1202,refute_0_1203]) ).
cnf(refute_0_1205,plain,
meet(join(join(meet(X_89,meet(X_90,X_29)),X_92),X_29),meet(join(X_29,X_92),Z)) = meet(join(X_92,X_29),meet(join(X_29,join(meet(X_89,meet(X_90,X_29)),X_92)),Z)),
inference(resolve,[$cnf( $equal(meet(join(X_29,join(meet(X_89,meet(X_90,X_29)),X_92)),meet(join(X_29,X_92),Z)),meet(join(X_92,X_29),meet(join(X_29,join(meet(X_89,meet(X_90,X_29)),X_92)),Z))) )],[refute_0_1201,refute_0_1204]) ).
cnf(refute_0_1206,plain,
( meet(join(X_92,X_29),meet(join(X_29,join(meet(X_89,meet(X_90,X_29)),X_92)),Z)) != meet(join(X_92,X_29),Z)
| meet(join(join(meet(X_89,meet(X_90,X_29)),X_92),X_29),meet(join(X_29,X_92),Z)) != meet(join(X_92,X_29),meet(join(X_29,join(meet(X_89,meet(X_90,X_29)),X_92)),Z))
| meet(join(join(meet(X_89,meet(X_90,X_29)),X_92),X_29),meet(join(X_29,X_92),Z)) = meet(join(X_92,X_29),Z) ),
inference(subst,[],[refute_0_93:[bind(X0,$fot(meet(join(join(meet(X_89,meet(X_90,X_29)),X_92),X_29),meet(join(X_29,X_92),Z)))),bind(Y0,$fot(meet(join(X_92,X_29),meet(join(X_29,join(meet(X_89,meet(X_90,X_29)),X_92)),Z)))),bind(Z0,$fot(meet(join(X_92,X_29),Z)))]]) ).
cnf(refute_0_1207,plain,
( meet(join(X_92,X_29),meet(join(X_29,join(meet(X_89,meet(X_90,X_29)),X_92)),Z)) != meet(join(X_92,X_29),Z)
| meet(join(join(meet(X_89,meet(X_90,X_29)),X_92),X_29),meet(join(X_29,X_92),Z)) = meet(join(X_92,X_29),Z) ),
inference(resolve,[$cnf( $equal(meet(join(join(meet(X_89,meet(X_90,X_29)),X_92),X_29),meet(join(X_29,X_92),Z)),meet(join(X_92,X_29),meet(join(X_29,join(meet(X_89,meet(X_90,X_29)),X_92)),Z))) )],[refute_0_1205,refute_0_1206]) ).
cnf(refute_0_1208,plain,
meet(join(join(meet(X_89,meet(X_90,X_29)),X_92),X_29),meet(join(X_29,X_92),Z)) = meet(join(X_92,X_29),Z),
inference(resolve,[$cnf( $equal(meet(join(X_92,X_29),meet(join(X_29,join(meet(X_89,meet(X_90,X_29)),X_92)),Z)),meet(join(X_92,X_29),Z)) )],[refute_0_1193,refute_0_1207]) ).
cnf(refute_0_1209,plain,
( meet(join(X_29,X_92),Z) != meet(join(join(meet(X_89,meet(X_90,X_29)),X_92),X_29),meet(join(X_29,X_92),Z))
| meet(join(join(meet(X_89,meet(X_90,X_29)),X_92),X_29),meet(join(X_29,X_92),Z)) != meet(join(X_92,X_29),Z)
| meet(join(X_29,X_92),Z) = meet(join(X_92,X_29),Z) ),
introduced(tautology,[equality,[$cnf( ~ $equal(meet(join(X_29,X_92),Z),meet(join(X_92,X_29),Z)) ),[0],$fot(meet(join(join(meet(X_89,meet(X_90,X_29)),X_92),X_29),meet(join(X_29,X_92),Z)))]]) ).
cnf(refute_0_1210,plain,
( meet(join(X_29,X_92),Z) != meet(join(join(meet(X_89,meet(X_90,X_29)),X_92),X_29),meet(join(X_29,X_92),Z))
| meet(join(X_29,X_92),Z) = meet(join(X_92,X_29),Z) ),
inference(resolve,[$cnf( $equal(meet(join(join(meet(X_89,meet(X_90,X_29)),X_92),X_29),meet(join(X_29,X_92),Z)),meet(join(X_92,X_29),Z)) )],[refute_0_1208,refute_0_1209]) ).
cnf(refute_0_1211,plain,
( meet(join(join(meet(X_89,meet(X_90,X_29)),X_92),X_29),Z) != meet(join(join(meet(X_89,meet(X_90,X_29)),X_92),X_29),meet(join(X_29,X_92),Z))
| meet(join(X_29,X_92),Z) = meet(join(X_92,X_29),Z) ),
inference(resolve,[$cnf( $equal(meet(join(X_29,X_92),Z),meet(join(join(meet(X_89,meet(X_90,X_29)),X_92),X_29),meet(join(X_29,X_92),Z))) )],[refute_0_1183,refute_0_1210]) ).
cnf(refute_0_1212,plain,
meet(join(X_29,X_92),Z) = meet(join(X_92,X_29),Z),
inference(resolve,[$cnf( $equal(meet(join(join(meet(X_89,meet(X_90,X_29)),X_92),X_29),Z),meet(join(join(meet(X_89,meet(X_90,X_29)),X_92),X_29),meet(join(X_29,X_92),Z))) )],[refute_0_1166,refute_0_1211]) ).
cnf(refute_0_1213,plain,
( meet(join(X_29,X_92),Z) != meet(join(X_92,X_29),Z)
| meet(join(X_92,X_29),Z) = meet(join(X_29,X_92),Z) ),
inference(subst,[],[refute_0_16:[bind(X0,$fot(meet(join(X_29,X_92),Z))),bind(Y0,$fot(meet(join(X_92,X_29),Z)))]]) ).
cnf(refute_0_1214,plain,
meet(join(X_92,X_29),Z) = meet(join(X_29,X_92),Z),
inference(resolve,[$cnf( $equal(meet(join(X_29,X_92),Z),meet(join(X_92,X_29),Z)) )],[refute_0_1212,refute_0_1213]) ).
cnf(refute_0_1215,plain,
meet(join(join(meet(X_29,X_96),X_98),X_29),Z) = meet(join(X_29,join(meet(X_29,X_96),X_98)),Z),
inference(subst,[],[refute_0_1214:[bind(X_92,$fot(join(meet(X_29,X_96),X_98)))]]) ).
cnf(refute_0_1216,plain,
( meet(join(X_29,join(meet(X_29,X_96),X_98)),Z) != meet(join(X_29,X_98),Z)
| meet(join(join(meet(X_29,X_96),X_98),X_29),Z) != meet(join(X_29,join(meet(X_29,X_96),X_98)),Z)
| meet(join(join(meet(X_29,X_96),X_98),X_29),Z) = meet(join(X_29,X_98),Z) ),
inference(subst,[],[refute_0_93:[bind(X0,$fot(meet(join(join(meet(X_29,X_96),X_98),X_29),Z))),bind(Y0,$fot(meet(join(X_29,join(meet(X_29,X_96),X_98)),Z))),bind(Z0,$fot(meet(join(X_29,X_98),Z)))]]) ).
cnf(refute_0_1217,plain,
( meet(join(X_29,join(meet(X_29,X_96),X_98)),Z) != meet(join(X_29,X_98),Z)
| meet(join(join(meet(X_29,X_96),X_98),X_29),Z) = meet(join(X_29,X_98),Z) ),
inference(resolve,[$cnf( $equal(meet(join(join(meet(X_29,X_96),X_98),X_29),Z),meet(join(X_29,join(meet(X_29,X_96),X_98)),Z)) )],[refute_0_1215,refute_0_1216]) ).
cnf(refute_0_1218,plain,
meet(join(join(meet(X_29,X_96),X_98),X_29),Z) = meet(join(X_29,X_98),Z),
inference(resolve,[$cnf( $equal(meet(join(X_29,join(meet(X_29,X_96),X_98)),Z),meet(join(X_29,X_98),Z)) )],[refute_0_1159,refute_0_1217]) ).
cnf(refute_0_1219,plain,
( meet(join(join(meet(X_29,X_96),X_98),X_29),Z) != meet(join(X_29,X_98),Z)
| meet(join(join(meet(X_29,X_96),X_98),X_29),Z) != meet(join(join(meet(X_29,X_96),X_98),X_29),meet(join(X_29,X_98),Z))
| meet(join(X_29,X_98),Z) = meet(join(join(meet(X_29,X_96),X_98),X_29),meet(join(X_29,X_98),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(join(meet(X_29,X_96),X_98),X_29),Z),meet(join(join(meet(X_29,X_96),X_98),X_29),meet(join(X_29,X_98),Z))) ),[0],$fot(meet(join(X_29,X_98),Z))]]) ).
cnf(refute_0_1220,plain,
( meet(join(join(meet(X_29,X_96),X_98),X_29),Z) != meet(join(join(meet(X_29,X_96),X_98),X_29),meet(join(X_29,X_98),Z))
| meet(join(X_29,X_98),Z) = meet(join(join(meet(X_29,X_96),X_98),X_29),meet(join(X_29,X_98),Z)) ),
inference(resolve,[$cnf( $equal(meet(join(join(meet(X_29,X_96),X_98),X_29),Z),meet(join(X_29,X_98),Z)) )],[refute_0_1218,refute_0_1219]) ).
cnf(refute_0_1221,plain,
meet(join(X_98,X_29),meet(join(X_29,X_98),Z)) = meet(join(X_98,X_29),Z),
inference(subst,[],[refute_0_1185:[bind(X_28,$fot(X_98))]]) ).
cnf(refute_0_1222,plain,
meet(join(X_98,X_29),meet(join(X_29,join(meet(X_29,X_96),X_98)),Z)) = meet(join(X_98,X_29),meet(join(X_29,join(meet(X_29,X_96),X_98)),Z)),
introduced(tautology,[refl,[$fot(meet(join(X_98,X_29),meet(join(X_29,join(meet(X_29,X_96),X_98)),Z)))]]) ).
cnf(refute_0_1223,plain,
( meet(join(X_29,join(meet(X_29,X_96),X_98)),Z) != meet(join(X_29,X_98),Z)
| meet(join(X_98,X_29),meet(join(X_29,join(meet(X_29,X_96),X_98)),Z)) != meet(join(X_98,X_29),meet(join(X_29,join(meet(X_29,X_96),X_98)),Z))
| meet(join(X_98,X_29),meet(join(X_29,join(meet(X_29,X_96),X_98)),Z)) = meet(join(X_98,X_29),meet(join(X_29,X_98),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_98,X_29),meet(join(X_29,join(meet(X_29,X_96),X_98)),Z)),meet(join(X_98,X_29),meet(join(X_29,join(meet(X_29,X_96),X_98)),Z))) ),[1,1],$fot(meet(join(X_29,X_98),Z))]]) ).
cnf(refute_0_1224,plain,
( meet(join(X_29,join(meet(X_29,X_96),X_98)),Z) != meet(join(X_29,X_98),Z)
| meet(join(X_98,X_29),meet(join(X_29,join(meet(X_29,X_96),X_98)),Z)) = meet(join(X_98,X_29),meet(join(X_29,X_98),Z)) ),
inference(resolve,[$cnf( $equal(meet(join(X_98,X_29),meet(join(X_29,join(meet(X_29,X_96),X_98)),Z)),meet(join(X_98,X_29),meet(join(X_29,join(meet(X_29,X_96),X_98)),Z))) )],[refute_0_1222,refute_0_1223]) ).
cnf(refute_0_1225,plain,
meet(join(X_98,X_29),meet(join(X_29,join(meet(X_29,X_96),X_98)),Z)) = meet(join(X_98,X_29),meet(join(X_29,X_98),Z)),
inference(resolve,[$cnf( $equal(meet(join(X_29,join(meet(X_29,X_96),X_98)),Z),meet(join(X_29,X_98),Z)) )],[refute_0_1159,refute_0_1224]) ).
cnf(refute_0_1226,plain,
( meet(join(X_98,X_29),meet(join(X_29,X_98),Z)) != meet(join(X_98,X_29),Z)
| meet(join(X_98,X_29),meet(join(X_29,join(meet(X_29,X_96),X_98)),Z)) != meet(join(X_98,X_29),meet(join(X_29,X_98),Z))
| meet(join(X_98,X_29),meet(join(X_29,join(meet(X_29,X_96),X_98)),Z)) = meet(join(X_98,X_29),Z) ),
inference(subst,[],[refute_0_93:[bind(X0,$fot(meet(join(X_98,X_29),meet(join(X_29,join(meet(X_29,X_96),X_98)),Z)))),bind(Y0,$fot(meet(join(X_98,X_29),meet(join(X_29,X_98),Z)))),bind(Z0,$fot(meet(join(X_98,X_29),Z)))]]) ).
cnf(refute_0_1227,plain,
( meet(join(X_98,X_29),meet(join(X_29,X_98),Z)) != meet(join(X_98,X_29),Z)
| meet(join(X_98,X_29),meet(join(X_29,join(meet(X_29,X_96),X_98)),Z)) = meet(join(X_98,X_29),Z) ),
inference(resolve,[$cnf( $equal(meet(join(X_98,X_29),meet(join(X_29,join(meet(X_29,X_96),X_98)),Z)),meet(join(X_98,X_29),meet(join(X_29,X_98),Z))) )],[refute_0_1225,refute_0_1226]) ).
cnf(refute_0_1228,plain,
meet(join(X_98,X_29),meet(join(X_29,join(meet(X_29,X_96),X_98)),Z)) = meet(join(X_98,X_29),Z),
inference(resolve,[$cnf( $equal(meet(join(X_98,X_29),meet(join(X_29,X_98),Z)),meet(join(X_98,X_29),Z)) )],[refute_0_1221,refute_0_1227]) ).
cnf(refute_0_1229,plain,
meet(join(X_29,join(meet(X_29,X_96),X_98)),meet(join(X_29,X_98),Z)) = meet(join(X_98,X_29),meet(join(X_29,join(meet(X_29,X_96),X_98)),Z)),
inference(subst,[],[refute_0_1200:[bind(X_22,$fot(join(X_29,join(meet(X_29,X_96),X_98)))),bind(X_23,$fot(Z)),bind(X_84,$fot(X_29)),bind(X_85,$fot(X_98))]]) ).
cnf(refute_0_1230,plain,
meet(join(join(meet(X_29,X_96),X_98),X_29),meet(join(X_29,X_98),Z)) = meet(join(X_29,join(meet(X_29,X_96),X_98)),meet(join(X_29,X_98),Z)),
inference(subst,[],[refute_0_1214:[bind(Z,$fot(meet(join(X_29,X_98),Z))),bind(X_92,$fot(join(meet(X_29,X_96),X_98)))]]) ).
cnf(refute_0_1231,plain,
( meet(join(X_29,join(meet(X_29,X_96),X_98)),meet(join(X_29,X_98),Z)) != meet(join(X_98,X_29),meet(join(X_29,join(meet(X_29,X_96),X_98)),Z))
| meet(join(join(meet(X_29,X_96),X_98),X_29),meet(join(X_29,X_98),Z)) != meet(join(X_29,join(meet(X_29,X_96),X_98)),meet(join(X_29,X_98),Z))
| meet(join(join(meet(X_29,X_96),X_98),X_29),meet(join(X_29,X_98),Z)) = meet(join(X_98,X_29),meet(join(X_29,join(meet(X_29,X_96),X_98)),Z)) ),
inference(subst,[],[refute_0_93:[bind(X0,$fot(meet(join(join(meet(X_29,X_96),X_98),X_29),meet(join(X_29,X_98),Z)))),bind(Y0,$fot(meet(join(X_29,join(meet(X_29,X_96),X_98)),meet(join(X_29,X_98),Z)))),bind(Z0,$fot(meet(join(X_98,X_29),meet(join(X_29,join(meet(X_29,X_96),X_98)),Z))))]]) ).
cnf(refute_0_1232,plain,
( meet(join(X_29,join(meet(X_29,X_96),X_98)),meet(join(X_29,X_98),Z)) != meet(join(X_98,X_29),meet(join(X_29,join(meet(X_29,X_96),X_98)),Z))
| meet(join(join(meet(X_29,X_96),X_98),X_29),meet(join(X_29,X_98),Z)) = meet(join(X_98,X_29),meet(join(X_29,join(meet(X_29,X_96),X_98)),Z)) ),
inference(resolve,[$cnf( $equal(meet(join(join(meet(X_29,X_96),X_98),X_29),meet(join(X_29,X_98),Z)),meet(join(X_29,join(meet(X_29,X_96),X_98)),meet(join(X_29,X_98),Z))) )],[refute_0_1230,refute_0_1231]) ).
cnf(refute_0_1233,plain,
meet(join(join(meet(X_29,X_96),X_98),X_29),meet(join(X_29,X_98),Z)) = meet(join(X_98,X_29),meet(join(X_29,join(meet(X_29,X_96),X_98)),Z)),
inference(resolve,[$cnf( $equal(meet(join(X_29,join(meet(X_29,X_96),X_98)),meet(join(X_29,X_98),Z)),meet(join(X_98,X_29),meet(join(X_29,join(meet(X_29,X_96),X_98)),Z))) )],[refute_0_1229,refute_0_1232]) ).
cnf(refute_0_1234,plain,
( meet(join(X_98,X_29),meet(join(X_29,join(meet(X_29,X_96),X_98)),Z)) != meet(join(X_98,X_29),Z)
| meet(join(join(meet(X_29,X_96),X_98),X_29),meet(join(X_29,X_98),Z)) != meet(join(X_98,X_29),meet(join(X_29,join(meet(X_29,X_96),X_98)),Z))
| meet(join(join(meet(X_29,X_96),X_98),X_29),meet(join(X_29,X_98),Z)) = meet(join(X_98,X_29),Z) ),
inference(subst,[],[refute_0_93:[bind(X0,$fot(meet(join(join(meet(X_29,X_96),X_98),X_29),meet(join(X_29,X_98),Z)))),bind(Y0,$fot(meet(join(X_98,X_29),meet(join(X_29,join(meet(X_29,X_96),X_98)),Z)))),bind(Z0,$fot(meet(join(X_98,X_29),Z)))]]) ).
cnf(refute_0_1235,plain,
( meet(join(X_98,X_29),meet(join(X_29,join(meet(X_29,X_96),X_98)),Z)) != meet(join(X_98,X_29),Z)
| meet(join(join(meet(X_29,X_96),X_98),X_29),meet(join(X_29,X_98),Z)) = meet(join(X_98,X_29),Z) ),
inference(resolve,[$cnf( $equal(meet(join(join(meet(X_29,X_96),X_98),X_29),meet(join(X_29,X_98),Z)),meet(join(X_98,X_29),meet(join(X_29,join(meet(X_29,X_96),X_98)),Z))) )],[refute_0_1233,refute_0_1234]) ).
cnf(refute_0_1236,plain,
meet(join(join(meet(X_29,X_96),X_98),X_29),meet(join(X_29,X_98),Z)) = meet(join(X_98,X_29),Z),
inference(resolve,[$cnf( $equal(meet(join(X_98,X_29),meet(join(X_29,join(meet(X_29,X_96),X_98)),Z)),meet(join(X_98,X_29),Z)) )],[refute_0_1228,refute_0_1235]) ).
cnf(refute_0_1237,plain,
( meet(join(X_29,X_98),Z) != meet(join(join(meet(X_29,X_96),X_98),X_29),meet(join(X_29,X_98),Z))
| meet(join(join(meet(X_29,X_96),X_98),X_29),meet(join(X_29,X_98),Z)) != meet(join(X_98,X_29),Z)
| meet(join(X_29,X_98),Z) = meet(join(X_98,X_29),Z) ),
introduced(tautology,[equality,[$cnf( ~ $equal(meet(join(X_29,X_98),Z),meet(join(X_98,X_29),Z)) ),[0],$fot(meet(join(join(meet(X_29,X_96),X_98),X_29),meet(join(X_29,X_98),Z)))]]) ).
cnf(refute_0_1238,plain,
( meet(join(X_29,X_98),Z) != meet(join(join(meet(X_29,X_96),X_98),X_29),meet(join(X_29,X_98),Z))
| meet(join(X_29,X_98),Z) = meet(join(X_98,X_29),Z) ),
inference(resolve,[$cnf( $equal(meet(join(join(meet(X_29,X_96),X_98),X_29),meet(join(X_29,X_98),Z)),meet(join(X_98,X_29),Z)) )],[refute_0_1236,refute_0_1237]) ).
cnf(refute_0_1239,plain,
( meet(join(join(meet(X_29,X_96),X_98),X_29),Z) != meet(join(join(meet(X_29,X_96),X_98),X_29),meet(join(X_29,X_98),Z))
| meet(join(X_29,X_98),Z) = meet(join(X_98,X_29),Z) ),
inference(resolve,[$cnf( $equal(meet(join(X_29,X_98),Z),meet(join(join(meet(X_29,X_96),X_98),X_29),meet(join(X_29,X_98),Z))) )],[refute_0_1220,refute_0_1238]) ).
cnf(refute_0_1240,plain,
meet(join(X_29,X_98),Z) = meet(join(X_98,X_29),Z),
inference(resolve,[$cnf( $equal(meet(join(join(meet(X_29,X_96),X_98),X_29),Z),meet(join(join(meet(X_29,X_96),X_98),X_29),meet(join(X_29,X_98),Z))) )],[refute_0_1155,refute_0_1239]) ).
cnf(refute_0_1241,plain,
( meet(join(X_29,X_98),Z) != meet(join(X_98,X_29),Z)
| meet(join(X_98,X_29),Z) = meet(join(X_29,X_98),Z) ),
inference(subst,[],[refute_0_16:[bind(X0,$fot(meet(join(X_29,X_98),Z))),bind(Y0,$fot(meet(join(X_98,X_29),Z)))]]) ).
cnf(refute_0_1242,plain,
meet(join(X_98,X_29),Z) = meet(join(X_29,X_98),Z),
inference(resolve,[$cnf( $equal(meet(join(X_29,X_98),Z),meet(join(X_98,X_29),Z)) )],[refute_0_1240,refute_0_1241]) ).
cnf(refute_0_1243,plain,
meet(join(join(X_100,meet(X_99,join(X_100,X_29))),X_29),Z) = meet(join(X_29,join(X_100,meet(X_99,join(X_100,X_29)))),Z),
inference(subst,[],[refute_0_1242:[bind(X_98,$fot(join(X_100,meet(X_99,join(X_100,X_29)))))]]) ).
cnf(refute_0_1244,plain,
( meet(join(X_29,join(X_100,meet(X_99,join(X_100,X_29)))),Z) != meet(join(X_29,X_100),Z)
| meet(join(join(X_100,meet(X_99,join(X_100,X_29))),X_29),Z) != meet(join(X_29,join(X_100,meet(X_99,join(X_100,X_29)))),Z)
| meet(join(join(X_100,meet(X_99,join(X_100,X_29))),X_29),Z) = meet(join(X_29,X_100),Z) ),
inference(subst,[],[refute_0_93:[bind(X0,$fot(meet(join(join(X_100,meet(X_99,join(X_100,X_29))),X_29),Z))),bind(Y0,$fot(meet(join(X_29,join(X_100,meet(X_99,join(X_100,X_29)))),Z))),bind(Z0,$fot(meet(join(X_29,X_100),Z)))]]) ).
cnf(refute_0_1245,plain,
( meet(join(X_29,join(X_100,meet(X_99,join(X_100,X_29)))),Z) != meet(join(X_29,X_100),Z)
| meet(join(join(X_100,meet(X_99,join(X_100,X_29))),X_29),Z) = meet(join(X_29,X_100),Z) ),
inference(resolve,[$cnf( $equal(meet(join(join(X_100,meet(X_99,join(X_100,X_29))),X_29),Z),meet(join(X_29,join(X_100,meet(X_99,join(X_100,X_29)))),Z)) )],[refute_0_1243,refute_0_1244]) ).
cnf(refute_0_1246,plain,
meet(join(join(X_100,meet(X_99,join(X_100,X_29))),X_29),Z) = meet(join(X_29,X_100),Z),
inference(resolve,[$cnf( $equal(meet(join(X_29,join(X_100,meet(X_99,join(X_100,X_29)))),Z),meet(join(X_29,X_100),Z)) )],[refute_0_1143,refute_0_1245]) ).
cnf(refute_0_1247,plain,
( meet(join(join(X_100,meet(X_99,join(X_100,X_29))),X_29),Z) != meet(join(X_29,X_100),Z)
| meet(join(join(X_100,meet(X_99,join(X_100,X_29))),X_29),Z) != meet(join(join(X_100,meet(X_99,join(X_100,X_29))),X_29),meet(join(X_29,X_100),Z))
| meet(join(X_29,X_100),Z) = meet(join(join(X_100,meet(X_99,join(X_100,X_29))),X_29),meet(join(X_29,X_100),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(join(X_100,meet(X_99,join(X_100,X_29))),X_29),Z),meet(join(join(X_100,meet(X_99,join(X_100,X_29))),X_29),meet(join(X_29,X_100),Z))) ),[0],$fot(meet(join(X_29,X_100),Z))]]) ).
cnf(refute_0_1248,plain,
( meet(join(join(X_100,meet(X_99,join(X_100,X_29))),X_29),Z) != meet(join(join(X_100,meet(X_99,join(X_100,X_29))),X_29),meet(join(X_29,X_100),Z))
| meet(join(X_29,X_100),Z) = meet(join(join(X_100,meet(X_99,join(X_100,X_29))),X_29),meet(join(X_29,X_100),Z)) ),
inference(resolve,[$cnf( $equal(meet(join(join(X_100,meet(X_99,join(X_100,X_29))),X_29),Z),meet(join(X_29,X_100),Z)) )],[refute_0_1246,refute_0_1247]) ).
cnf(refute_0_1249,plain,
meet(join(X_100,X_29),meet(join(X_29,X_100),Z)) = meet(join(X_100,X_29),Z),
inference(subst,[],[refute_0_1185:[bind(X_28,$fot(X_100))]]) ).
cnf(refute_0_1250,plain,
meet(join(X_100,X_29),meet(join(X_29,join(X_100,meet(X_99,join(X_100,X_29)))),Z)) = meet(join(X_100,X_29),meet(join(X_29,join(X_100,meet(X_99,join(X_100,X_29)))),Z)),
introduced(tautology,[refl,[$fot(meet(join(X_100,X_29),meet(join(X_29,join(X_100,meet(X_99,join(X_100,X_29)))),Z)))]]) ).
cnf(refute_0_1251,plain,
( meet(join(X_100,X_29),meet(join(X_29,join(X_100,meet(X_99,join(X_100,X_29)))),Z)) != meet(join(X_100,X_29),meet(join(X_29,join(X_100,meet(X_99,join(X_100,X_29)))),Z))
| meet(join(X_29,join(X_100,meet(X_99,join(X_100,X_29)))),Z) != meet(join(X_29,X_100),Z)
| meet(join(X_100,X_29),meet(join(X_29,join(X_100,meet(X_99,join(X_100,X_29)))),Z)) = meet(join(X_100,X_29),meet(join(X_29,X_100),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_100,X_29),meet(join(X_29,join(X_100,meet(X_99,join(X_100,X_29)))),Z)),meet(join(X_100,X_29),meet(join(X_29,join(X_100,meet(X_99,join(X_100,X_29)))),Z))) ),[1,1],$fot(meet(join(X_29,X_100),Z))]]) ).
cnf(refute_0_1252,plain,
( meet(join(X_29,join(X_100,meet(X_99,join(X_100,X_29)))),Z) != meet(join(X_29,X_100),Z)
| meet(join(X_100,X_29),meet(join(X_29,join(X_100,meet(X_99,join(X_100,X_29)))),Z)) = meet(join(X_100,X_29),meet(join(X_29,X_100),Z)) ),
inference(resolve,[$cnf( $equal(meet(join(X_100,X_29),meet(join(X_29,join(X_100,meet(X_99,join(X_100,X_29)))),Z)),meet(join(X_100,X_29),meet(join(X_29,join(X_100,meet(X_99,join(X_100,X_29)))),Z))) )],[refute_0_1250,refute_0_1251]) ).
cnf(refute_0_1253,plain,
meet(join(X_100,X_29),meet(join(X_29,join(X_100,meet(X_99,join(X_100,X_29)))),Z)) = meet(join(X_100,X_29),meet(join(X_29,X_100),Z)),
inference(resolve,[$cnf( $equal(meet(join(X_29,join(X_100,meet(X_99,join(X_100,X_29)))),Z),meet(join(X_29,X_100),Z)) )],[refute_0_1143,refute_0_1252]) ).
cnf(refute_0_1254,plain,
( meet(join(X_100,X_29),meet(join(X_29,X_100),Z)) != meet(join(X_100,X_29),Z)
| meet(join(X_100,X_29),meet(join(X_29,join(X_100,meet(X_99,join(X_100,X_29)))),Z)) != meet(join(X_100,X_29),meet(join(X_29,X_100),Z))
| meet(join(X_100,X_29),meet(join(X_29,join(X_100,meet(X_99,join(X_100,X_29)))),Z)) = meet(join(X_100,X_29),Z) ),
inference(subst,[],[refute_0_93:[bind(X0,$fot(meet(join(X_100,X_29),meet(join(X_29,join(X_100,meet(X_99,join(X_100,X_29)))),Z)))),bind(Y0,$fot(meet(join(X_100,X_29),meet(join(X_29,X_100),Z)))),bind(Z0,$fot(meet(join(X_100,X_29),Z)))]]) ).
cnf(refute_0_1255,plain,
( meet(join(X_100,X_29),meet(join(X_29,X_100),Z)) != meet(join(X_100,X_29),Z)
| meet(join(X_100,X_29),meet(join(X_29,join(X_100,meet(X_99,join(X_100,X_29)))),Z)) = meet(join(X_100,X_29),Z) ),
inference(resolve,[$cnf( $equal(meet(join(X_100,X_29),meet(join(X_29,join(X_100,meet(X_99,join(X_100,X_29)))),Z)),meet(join(X_100,X_29),meet(join(X_29,X_100),Z))) )],[refute_0_1253,refute_0_1254]) ).
cnf(refute_0_1256,plain,
meet(join(X_100,X_29),meet(join(X_29,join(X_100,meet(X_99,join(X_100,X_29)))),Z)) = meet(join(X_100,X_29),Z),
inference(resolve,[$cnf( $equal(meet(join(X_100,X_29),meet(join(X_29,X_100),Z)),meet(join(X_100,X_29),Z)) )],[refute_0_1249,refute_0_1255]) ).
cnf(refute_0_1257,plain,
meet(join(X_29,join(X_100,meet(X_99,join(X_100,X_29)))),meet(join(X_29,X_100),Z)) = meet(join(X_100,X_29),meet(join(X_29,join(X_100,meet(X_99,join(X_100,X_29)))),Z)),
inference(subst,[],[refute_0_1200:[bind(X_22,$fot(join(X_29,join(X_100,meet(X_99,join(X_100,X_29)))))),bind(X_23,$fot(Z)),bind(X_84,$fot(X_29)),bind(X_85,$fot(X_100))]]) ).
cnf(refute_0_1258,plain,
meet(join(join(X_100,meet(X_99,join(X_100,X_29))),X_29),meet(join(X_29,X_100),Z)) = meet(join(X_29,join(X_100,meet(X_99,join(X_100,X_29)))),meet(join(X_29,X_100),Z)),
inference(subst,[],[refute_0_1242:[bind(Z,$fot(meet(join(X_29,X_100),Z))),bind(X_98,$fot(join(X_100,meet(X_99,join(X_100,X_29)))))]]) ).
cnf(refute_0_1259,plain,
( meet(join(X_29,join(X_100,meet(X_99,join(X_100,X_29)))),meet(join(X_29,X_100),Z)) != meet(join(X_100,X_29),meet(join(X_29,join(X_100,meet(X_99,join(X_100,X_29)))),Z))
| meet(join(join(X_100,meet(X_99,join(X_100,X_29))),X_29),meet(join(X_29,X_100),Z)) != meet(join(X_29,join(X_100,meet(X_99,join(X_100,X_29)))),meet(join(X_29,X_100),Z))
| meet(join(join(X_100,meet(X_99,join(X_100,X_29))),X_29),meet(join(X_29,X_100),Z)) = meet(join(X_100,X_29),meet(join(X_29,join(X_100,meet(X_99,join(X_100,X_29)))),Z)) ),
inference(subst,[],[refute_0_93:[bind(X0,$fot(meet(join(join(X_100,meet(X_99,join(X_100,X_29))),X_29),meet(join(X_29,X_100),Z)))),bind(Y0,$fot(meet(join(X_29,join(X_100,meet(X_99,join(X_100,X_29)))),meet(join(X_29,X_100),Z)))),bind(Z0,$fot(meet(join(X_100,X_29),meet(join(X_29,join(X_100,meet(X_99,join(X_100,X_29)))),Z))))]]) ).
cnf(refute_0_1260,plain,
( meet(join(X_29,join(X_100,meet(X_99,join(X_100,X_29)))),meet(join(X_29,X_100),Z)) != meet(join(X_100,X_29),meet(join(X_29,join(X_100,meet(X_99,join(X_100,X_29)))),Z))
| meet(join(join(X_100,meet(X_99,join(X_100,X_29))),X_29),meet(join(X_29,X_100),Z)) = meet(join(X_100,X_29),meet(join(X_29,join(X_100,meet(X_99,join(X_100,X_29)))),Z)) ),
inference(resolve,[$cnf( $equal(meet(join(join(X_100,meet(X_99,join(X_100,X_29))),X_29),meet(join(X_29,X_100),Z)),meet(join(X_29,join(X_100,meet(X_99,join(X_100,X_29)))),meet(join(X_29,X_100),Z))) )],[refute_0_1258,refute_0_1259]) ).
cnf(refute_0_1261,plain,
meet(join(join(X_100,meet(X_99,join(X_100,X_29))),X_29),meet(join(X_29,X_100),Z)) = meet(join(X_100,X_29),meet(join(X_29,join(X_100,meet(X_99,join(X_100,X_29)))),Z)),
inference(resolve,[$cnf( $equal(meet(join(X_29,join(X_100,meet(X_99,join(X_100,X_29)))),meet(join(X_29,X_100),Z)),meet(join(X_100,X_29),meet(join(X_29,join(X_100,meet(X_99,join(X_100,X_29)))),Z))) )],[refute_0_1257,refute_0_1260]) ).
cnf(refute_0_1262,plain,
( meet(join(X_100,X_29),meet(join(X_29,join(X_100,meet(X_99,join(X_100,X_29)))),Z)) != meet(join(X_100,X_29),Z)
| meet(join(join(X_100,meet(X_99,join(X_100,X_29))),X_29),meet(join(X_29,X_100),Z)) != meet(join(X_100,X_29),meet(join(X_29,join(X_100,meet(X_99,join(X_100,X_29)))),Z))
| meet(join(join(X_100,meet(X_99,join(X_100,X_29))),X_29),meet(join(X_29,X_100),Z)) = meet(join(X_100,X_29),Z) ),
inference(subst,[],[refute_0_93:[bind(X0,$fot(meet(join(join(X_100,meet(X_99,join(X_100,X_29))),X_29),meet(join(X_29,X_100),Z)))),bind(Y0,$fot(meet(join(X_100,X_29),meet(join(X_29,join(X_100,meet(X_99,join(X_100,X_29)))),Z)))),bind(Z0,$fot(meet(join(X_100,X_29),Z)))]]) ).
cnf(refute_0_1263,plain,
( meet(join(X_100,X_29),meet(join(X_29,join(X_100,meet(X_99,join(X_100,X_29)))),Z)) != meet(join(X_100,X_29),Z)
| meet(join(join(X_100,meet(X_99,join(X_100,X_29))),X_29),meet(join(X_29,X_100),Z)) = meet(join(X_100,X_29),Z) ),
inference(resolve,[$cnf( $equal(meet(join(join(X_100,meet(X_99,join(X_100,X_29))),X_29),meet(join(X_29,X_100),Z)),meet(join(X_100,X_29),meet(join(X_29,join(X_100,meet(X_99,join(X_100,X_29)))),Z))) )],[refute_0_1261,refute_0_1262]) ).
cnf(refute_0_1264,plain,
meet(join(join(X_100,meet(X_99,join(X_100,X_29))),X_29),meet(join(X_29,X_100),Z)) = meet(join(X_100,X_29),Z),
inference(resolve,[$cnf( $equal(meet(join(X_100,X_29),meet(join(X_29,join(X_100,meet(X_99,join(X_100,X_29)))),Z)),meet(join(X_100,X_29),Z)) )],[refute_0_1256,refute_0_1263]) ).
cnf(refute_0_1265,plain,
( meet(join(X_29,X_100),Z) != meet(join(join(X_100,meet(X_99,join(X_100,X_29))),X_29),meet(join(X_29,X_100),Z))
| meet(join(join(X_100,meet(X_99,join(X_100,X_29))),X_29),meet(join(X_29,X_100),Z)) != meet(join(X_100,X_29),Z)
| meet(join(X_29,X_100),Z) = meet(join(X_100,X_29),Z) ),
introduced(tautology,[equality,[$cnf( ~ $equal(meet(join(X_29,X_100),Z),meet(join(X_100,X_29),Z)) ),[0],$fot(meet(join(join(X_100,meet(X_99,join(X_100,X_29))),X_29),meet(join(X_29,X_100),Z)))]]) ).
cnf(refute_0_1266,plain,
( meet(join(X_29,X_100),Z) != meet(join(join(X_100,meet(X_99,join(X_100,X_29))),X_29),meet(join(X_29,X_100),Z))
| meet(join(X_29,X_100),Z) = meet(join(X_100,X_29),Z) ),
inference(resolve,[$cnf( $equal(meet(join(join(X_100,meet(X_99,join(X_100,X_29))),X_29),meet(join(X_29,X_100),Z)),meet(join(X_100,X_29),Z)) )],[refute_0_1264,refute_0_1265]) ).
cnf(refute_0_1267,plain,
( meet(join(join(X_100,meet(X_99,join(X_100,X_29))),X_29),Z) != meet(join(join(X_100,meet(X_99,join(X_100,X_29))),X_29),meet(join(X_29,X_100),Z))
| meet(join(X_29,X_100),Z) = meet(join(X_100,X_29),Z) ),
inference(resolve,[$cnf( $equal(meet(join(X_29,X_100),Z),meet(join(join(X_100,meet(X_99,join(X_100,X_29))),X_29),meet(join(X_29,X_100),Z))) )],[refute_0_1248,refute_0_1266]) ).
cnf(refute_0_1268,plain,
meet(join(X_29,X_100),Z) = meet(join(X_100,X_29),Z),
inference(resolve,[$cnf( $equal(meet(join(join(X_100,meet(X_99,join(X_100,X_29))),X_29),Z),meet(join(join(X_100,meet(X_99,join(X_100,X_29))),X_29),meet(join(X_29,X_100),Z))) )],[refute_0_1139,refute_0_1267]) ).
cnf(refute_0_1269,plain,
meet(join(X_132,X_131),X_70) = meet(join(X_131,X_132),X_70),
inference(subst,[],[refute_0_1268:[bind(Z,$fot(X_70)),bind(X_100,$fot(X_131)),bind(X_29,$fot(X_132))]]) ).
cnf(refute_0_1270,plain,
( join(meet(join(X_132,X_131),X_70),X_30) != join(X_30,meet(X_70,join(X_132,X_131)))
| meet(join(X_132,X_131),X_70) != meet(join(X_131,X_132),X_70)
| join(meet(join(X_131,X_132),X_70),X_30) = join(X_30,meet(X_70,join(X_132,X_131))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(join(X_132,X_131),X_70),X_30),join(X_30,meet(X_70,join(X_132,X_131)))) ),[0,0],$fot(meet(join(X_131,X_132),X_70))]]) ).
cnf(refute_0_1271,plain,
( join(meet(join(X_132,X_131),X_70),X_30) != join(X_30,meet(X_70,join(X_132,X_131)))
| join(meet(join(X_131,X_132),X_70),X_30) = join(X_30,meet(X_70,join(X_132,X_131))) ),
inference(resolve,[$cnf( $equal(meet(join(X_132,X_131),X_70),meet(join(X_131,X_132),X_70)) )],[refute_0_1269,refute_0_1270]) ).
cnf(refute_0_1272,plain,
join(meet(join(X_131,X_132),X_70),X_30) = join(X_30,meet(X_70,join(X_132,X_131))),
inference(resolve,[$cnf( $equal(join(meet(join(X_132,X_131),X_70),X_30),join(X_30,meet(X_70,join(X_132,X_131)))) )],[refute_0_1126,refute_0_1271]) ).
cnf(refute_0_1273,plain,
join(meet(join(meet(X_148,X_149),Y),X_149),meet(X_148,X_149)) = join(meet(X_148,X_149),meet(X_149,join(Y,meet(X_148,X_149)))),
inference(subst,[],[refute_0_1272:[bind(X_131,$fot(meet(X_148,X_149))),bind(X_132,$fot(Y)),bind(X_30,$fot(meet(X_148,X_149))),bind(X_70,$fot(X_149))]]) ).
cnf(refute_0_1274,plain,
( join(meet(join(meet(X_148,X_149),Y),X_149),meet(X_148,X_149)) != join(meet(X_148,X_149),meet(X_149,join(Y,meet(X_148,X_149))))
| join(meet(join(meet(X_148,X_149),Y),X_149),meet(X_148,X_149)) != meet(join(meet(X_148,X_149),Y),X_149)
| join(meet(X_148,X_149),meet(X_149,join(Y,meet(X_148,X_149)))) = meet(join(meet(X_148,X_149),Y),X_149) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(join(meet(X_148,X_149),Y),X_149),meet(X_148,X_149)),meet(join(meet(X_148,X_149),Y),X_149)) ),[0],$fot(join(meet(X_148,X_149),meet(X_149,join(Y,meet(X_148,X_149)))))]]) ).
cnf(refute_0_1275,plain,
( join(meet(join(meet(X_148,X_149),Y),X_149),meet(X_148,X_149)) != meet(join(meet(X_148,X_149),Y),X_149)
| join(meet(X_148,X_149),meet(X_149,join(Y,meet(X_148,X_149)))) = meet(join(meet(X_148,X_149),Y),X_149) ),
inference(resolve,[$cnf( $equal(join(meet(join(meet(X_148,X_149),Y),X_149),meet(X_148,X_149)),join(meet(X_148,X_149),meet(X_149,join(Y,meet(X_148,X_149))))) )],[refute_0_1273,refute_0_1274]) ).
cnf(refute_0_1276,plain,
meet(join(meet(X_148,X_149),Y),X_149) = meet(X_149,join(meet(X_149,X_148),Y)),
inference(subst,[],[refute_0_247:[bind(X_69,$fot(X_149)),bind(X_70,$fot(X_148)),bind(X_83,$fot(X_149)),bind(X_85,$fot(Y))]]) ).
cnf(refute_0_1277,plain,
( join(meet(X_148,X_149),meet(X_149,join(Y,meet(X_148,X_149)))) != meet(join(meet(X_148,X_149),Y),X_149)
| meet(join(meet(X_148,X_149),Y),X_149) != meet(X_149,join(meet(X_149,X_148),Y))
| join(meet(X_148,X_149),meet(X_149,join(Y,meet(X_148,X_149)))) = meet(X_149,join(meet(X_149,X_148),Y)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(meet(X_148,X_149),meet(X_149,join(Y,meet(X_148,X_149)))),meet(X_149,join(meet(X_149,X_148),Y))) ),[0],$fot(meet(join(meet(X_148,X_149),Y),X_149))]]) ).
cnf(refute_0_1278,plain,
( join(meet(X_148,X_149),meet(X_149,join(Y,meet(X_148,X_149)))) != meet(join(meet(X_148,X_149),Y),X_149)
| join(meet(X_148,X_149),meet(X_149,join(Y,meet(X_148,X_149)))) = meet(X_149,join(meet(X_149,X_148),Y)) ),
inference(resolve,[$cnf( $equal(meet(join(meet(X_148,X_149),Y),X_149),meet(X_149,join(meet(X_149,X_148),Y))) )],[refute_0_1276,refute_0_1277]) ).
cnf(refute_0_1279,plain,
( join(meet(join(meet(X_148,X_149),Y),X_149),meet(X_148,X_149)) != meet(join(meet(X_148,X_149),Y),X_149)
| join(meet(X_148,X_149),meet(X_149,join(Y,meet(X_148,X_149)))) = meet(X_149,join(meet(X_149,X_148),Y)) ),
inference(resolve,[$cnf( $equal(join(meet(X_148,X_149),meet(X_149,join(Y,meet(X_148,X_149)))),meet(join(meet(X_148,X_149),Y),X_149)) )],[refute_0_1275,refute_0_1278]) ).
cnf(refute_0_1280,plain,
join(meet(X_148,X_149),meet(X_149,join(Y,meet(X_148,X_149)))) = meet(X_149,join(meet(X_149,X_148),Y)),
inference(resolve,[$cnf( $equal(join(meet(join(meet(X_148,X_149),Y),X_149),meet(X_148,X_149)),meet(join(meet(X_148,X_149),Y),X_149)) )],[refute_0_1125,refute_0_1279]) ).
cnf(refute_0_1281,plain,
join(meet(X,Y),meet(Y,join(X_207,meet(X,Y)))) = meet(Y,join(meet(Y,X),X_207)),
inference(subst,[],[refute_0_1280:[bind(Y,$fot(X_207)),bind(X_148,$fot(X)),bind(X_149,$fot(Y))]]) ).
cnf(refute_0_1282,plain,
meet(join(X_112,X_113),X_114) = meet(X_114,join(X_112,X_113)),
inference(subst,[],[commutativity_of_meet:[bind(X,$fot(join(X_112,X_113))),bind(Y,$fot(X_114))]]) ).
cnf(refute_0_1283,plain,
( meet(join(X_112,X_113),X_114) != meet(X_114,join(X_112,X_113))
| meet(X_114,join(X_112,X_113)) = meet(join(X_112,X_113),X_114) ),
inference(subst,[],[refute_0_16:[bind(X0,$fot(meet(join(X_112,X_113),X_114))),bind(Y0,$fot(meet(X_114,join(X_112,X_113))))]]) ).
cnf(refute_0_1284,plain,
meet(X_114,join(X_112,X_113)) = meet(join(X_112,X_113),X_114),
inference(resolve,[$cnf( $equal(meet(join(X_112,X_113),X_114),meet(X_114,join(X_112,X_113))) )],[refute_0_1282,refute_0_1283]) ).
cnf(refute_0_1285,plain,
( join(meet(X_112,X_113),meet(X_113,X_114)) != meet(X_113,join(meet(X_112,X_113),meet(X_114,join(X_112,X_113))))
| meet(X_114,join(X_112,X_113)) != meet(join(X_112,X_113),X_114)
| join(meet(X_112,X_113),meet(X_113,X_114)) = meet(X_113,join(meet(X_112,X_113),meet(join(X_112,X_113),X_114))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_112,X_113),meet(X_113,X_114)),meet(X_113,join(meet(X_112,X_113),meet(X_114,join(X_112,X_113))))) ),[1,1,1],$fot(meet(join(X_112,X_113),X_114))]]) ).
cnf(refute_0_1286,plain,
( join(meet(X_112,X_113),meet(X_113,X_114)) != meet(X_113,join(meet(X_112,X_113),meet(X_114,join(X_112,X_113))))
| join(meet(X_112,X_113),meet(X_113,X_114)) = meet(X_113,join(meet(X_112,X_113),meet(join(X_112,X_113),X_114))) ),
inference(resolve,[$cnf( $equal(meet(X_114,join(X_112,X_113)),meet(join(X_112,X_113),X_114)) )],[refute_0_1284,refute_0_1285]) ).
cnf(refute_0_1287,plain,
join(meet(X_112,X_113),meet(X_113,X_114)) = meet(X_113,join(meet(X_112,X_113),meet(join(X_112,X_113),X_114))),
inference(resolve,[$cnf( $equal(join(meet(X_112,X_113),meet(X_113,X_114)),meet(X_113,join(meet(X_112,X_113),meet(X_114,join(X_112,X_113))))) )],[refute_0_1047,refute_0_1286]) ).
cnf(refute_0_1288,plain,
( join(meet(X_112,X_113),meet(X_113,X_114)) != meet(X_113,join(meet(X_112,X_113),meet(join(X_112,X_113),X_114)))
| meet(X_113,join(meet(X_112,X_113),meet(join(X_112,X_113),X_114))) = join(meet(X_112,X_113),meet(X_113,X_114)) ),
inference(subst,[],[refute_0_16:[bind(X0,$fot(join(meet(X_112,X_113),meet(X_113,X_114)))),bind(Y0,$fot(meet(X_113,join(meet(X_112,X_113),meet(join(X_112,X_113),X_114)))))]]) ).
cnf(refute_0_1289,plain,
meet(X_113,join(meet(X_112,X_113),meet(join(X_112,X_113),X_114))) = join(meet(X_112,X_113),meet(X_113,X_114)),
inference(resolve,[$cnf( $equal(join(meet(X_112,X_113),meet(X_113,X_114)),meet(X_113,join(meet(X_112,X_113),meet(join(X_112,X_113),X_114)))) )],[refute_0_1287,refute_0_1288]) ).
cnf(refute_0_1290,plain,
meet(Y,join(meet(X,Y),meet(join(X,Y),join(X_207,meet(X,Y))))) = join(meet(X,Y),meet(Y,join(X_207,meet(X,Y)))),
inference(subst,[],[refute_0_1289:[bind(X_112,$fot(X)),bind(X_113,$fot(Y)),bind(X_114,$fot(join(X_207,meet(X,Y))))]]) ).
cnf(refute_0_1291,plain,
( join(meet(X,Y),meet(Y,join(X_207,meet(X,Y)))) != meet(Y,join(meet(Y,X),X_207))
| meet(Y,join(meet(X,Y),meet(join(X,Y),join(X_207,meet(X,Y))))) != join(meet(X,Y),meet(Y,join(X_207,meet(X,Y))))
| meet(Y,join(meet(X,Y),meet(join(X,Y),join(X_207,meet(X,Y))))) = meet(Y,join(meet(Y,X),X_207)) ),
inference(subst,[],[refute_0_93:[bind(X0,$fot(meet(Y,join(meet(X,Y),meet(join(X,Y),join(X_207,meet(X,Y))))))),bind(Y0,$fot(join(meet(X,Y),meet(Y,join(X_207,meet(X,Y)))))),bind(Z0,$fot(meet(Y,join(meet(Y,X),X_207))))]]) ).
cnf(refute_0_1292,plain,
( join(meet(X,Y),meet(Y,join(X_207,meet(X,Y)))) != meet(Y,join(meet(Y,X),X_207))
| meet(Y,join(meet(X,Y),meet(join(X,Y),join(X_207,meet(X,Y))))) = meet(Y,join(meet(Y,X),X_207)) ),
inference(resolve,[$cnf( $equal(meet(Y,join(meet(X,Y),meet(join(X,Y),join(X_207,meet(X,Y))))),join(meet(X,Y),meet(Y,join(X_207,meet(X,Y))))) )],[refute_0_1290,refute_0_1291]) ).
cnf(refute_0_1293,plain,
meet(Y,join(meet(X,Y),meet(join(X,Y),join(X_207,meet(X,Y))))) = meet(Y,join(meet(Y,X),X_207)),
inference(resolve,[$cnf( $equal(join(meet(X,Y),meet(Y,join(X_207,meet(X,Y)))),meet(Y,join(meet(Y,X),X_207))) )],[refute_0_1281,refute_0_1292]) ).
cnf(refute_0_1294,plain,
( meet(Y,join(meet(X,Y),X_207)) != meet(Y,join(meet(X,Y),meet(join(X,Y),join(X_207,meet(X,Y)))))
| meet(Y,join(meet(X,Y),meet(join(X,Y),join(X_207,meet(X,Y))))) != meet(Y,join(meet(Y,X),X_207))
| meet(Y,join(meet(X,Y),X_207)) = meet(Y,join(meet(Y,X),X_207)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(meet(Y,join(meet(X,Y),X_207)),meet(Y,join(meet(Y,X),X_207))) ),[0],$fot(meet(Y,join(meet(X,Y),meet(join(X,Y),join(X_207,meet(X,Y))))))]]) ).
cnf(refute_0_1295,plain,
( meet(Y,join(meet(X,Y),X_207)) != meet(Y,join(meet(X,Y),meet(join(X,Y),join(X_207,meet(X,Y)))))
| meet(Y,join(meet(X,Y),X_207)) = meet(Y,join(meet(Y,X),X_207)) ),
inference(resolve,[$cnf( $equal(meet(Y,join(meet(X,Y),meet(join(X,Y),join(X_207,meet(X,Y))))),meet(Y,join(meet(Y,X),X_207))) )],[refute_0_1293,refute_0_1294]) ).
cnf(refute_0_1296,plain,
( join(meet(X,Y),meet(Y,join(meet(X,Y),X_207))) != meet(Y,join(meet(X,Y),meet(join(X,Y),join(X_207,meet(X,Y)))))
| meet(Y,join(meet(X,Y),X_207)) = meet(Y,join(meet(Y,X),X_207)) ),
inference(resolve,[$cnf( $equal(meet(Y,join(meet(X,Y),X_207)),meet(Y,join(meet(X,Y),meet(join(X,Y),join(X_207,meet(X,Y)))))) )],[refute_0_1115,refute_0_1295]) ).
cnf(refute_0_1297,plain,
meet(Y,join(meet(X,Y),X_207)) = meet(Y,join(meet(Y,X),X_207)),
inference(resolve,[$cnf( $equal(join(meet(X,Y),meet(Y,join(meet(X,Y),X_207))),meet(Y,join(meet(X,Y),meet(join(X,Y),join(X_207,meet(X,Y)))))) )],[refute_0_1112,refute_0_1296]) ).
cnf(refute_0_1298,plain,
( meet(Y,join(meet(X,Y),X_207)) != meet(Y,join(meet(Y,X),X_207))
| meet(Y,join(meet(Y,X),X_207)) = meet(Y,join(meet(X,Y),X_207)) ),
inference(subst,[],[refute_0_16:[bind(X0,$fot(meet(Y,join(meet(X,Y),X_207)))),bind(Y0,$fot(meet(Y,join(meet(Y,X),X_207))))]]) ).
cnf(refute_0_1299,plain,
meet(Y,join(meet(Y,X),X_207)) = meet(Y,join(meet(X,Y),X_207)),
inference(resolve,[$cnf( $equal(meet(Y,join(meet(X,Y),X_207)),meet(Y,join(meet(Y,X),X_207))) )],[refute_0_1297,refute_0_1298]) ).
cnf(refute_0_1300,plain,
meet(meet(X_210,join(X_209,X_114)),join(meet(meet(X_210,join(X_209,X_114)),meet(X_114,X_209)),join(meet(X_114,X_209),meet(X_114,X_210)))) = meet(meet(X_210,join(X_209,X_114)),join(meet(meet(X_114,X_209),meet(X_210,join(X_209,X_114))),join(meet(X_114,X_209),meet(X_114,X_210)))),
inference(subst,[],[refute_0_1299:[bind(X,$fot(meet(X_114,X_209))),bind(Y,$fot(meet(X_210,join(X_209,X_114)))),bind(X_207,$fot(join(meet(X_114,X_209),meet(X_114,X_210))))]]) ).
cnf(refute_0_1301,plain,
( meet(meet(X_210,join(X_209,X_114)),join(meet(meet(X_114,X_209),meet(X_210,join(X_209,X_114))),join(meet(X_114,X_209),meet(X_114,X_210)))) != meet(X_210,meet(join(X_209,X_114),join(meet(X_114,X_210),join(meet(X_114,X_209),meet(meet(X_114,X_209),meet(X_210,join(X_209,X_114)))))))
| meet(meet(X_210,join(X_209,X_114)),join(meet(meet(X_210,join(X_209,X_114)),meet(X_114,X_209)),join(meet(X_114,X_209),meet(X_114,X_210)))) != meet(meet(X_210,join(X_209,X_114)),join(meet(meet(X_114,X_209),meet(X_210,join(X_209,X_114))),join(meet(X_114,X_209),meet(X_114,X_210))))
| meet(meet(X_210,join(X_209,X_114)),join(meet(meet(X_210,join(X_209,X_114)),meet(X_114,X_209)),join(meet(X_114,X_209),meet(X_114,X_210)))) = meet(X_210,meet(join(X_209,X_114),join(meet(X_114,X_210),join(meet(X_114,X_209),meet(meet(X_114,X_209),meet(X_210,join(X_209,X_114))))))) ),
inference(subst,[],[refute_0_93:[bind(X0,$fot(meet(meet(X_210,join(X_209,X_114)),join(meet(meet(X_210,join(X_209,X_114)),meet(X_114,X_209)),join(meet(X_114,X_209),meet(X_114,X_210)))))),bind(Y0,$fot(meet(meet(X_210,join(X_209,X_114)),join(meet(meet(X_114,X_209),meet(X_210,join(X_209,X_114))),join(meet(X_114,X_209),meet(X_114,X_210)))))),bind(Z0,$fot(meet(X_210,meet(join(X_209,X_114),join(meet(X_114,X_210),join(meet(X_114,X_209),meet(meet(X_114,X_209),meet(X_210,join(X_209,X_114)))))))))]]) ).
cnf(refute_0_1302,plain,
( meet(meet(X_210,join(X_209,X_114)),join(meet(meet(X_114,X_209),meet(X_210,join(X_209,X_114))),join(meet(X_114,X_209),meet(X_114,X_210)))) != meet(X_210,meet(join(X_209,X_114),join(meet(X_114,X_210),join(meet(X_114,X_209),meet(meet(X_114,X_209),meet(X_210,join(X_209,X_114)))))))
| meet(meet(X_210,join(X_209,X_114)),join(meet(meet(X_210,join(X_209,X_114)),meet(X_114,X_209)),join(meet(X_114,X_209),meet(X_114,X_210)))) = meet(X_210,meet(join(X_209,X_114),join(meet(X_114,X_210),join(meet(X_114,X_209),meet(meet(X_114,X_209),meet(X_210,join(X_209,X_114))))))) ),
inference(resolve,[$cnf( $equal(meet(meet(X_210,join(X_209,X_114)),join(meet(meet(X_210,join(X_209,X_114)),meet(X_114,X_209)),join(meet(X_114,X_209),meet(X_114,X_210)))),meet(meet(X_210,join(X_209,X_114)),join(meet(meet(X_114,X_209),meet(X_210,join(X_209,X_114))),join(meet(X_114,X_209),meet(X_114,X_210))))) )],[refute_0_1300,refute_0_1301]) ).
cnf(refute_0_1303,plain,
meet(meet(X_210,join(X_209,X_114)),join(meet(meet(X_210,join(X_209,X_114)),meet(X_114,X_209)),join(meet(X_114,X_209),meet(X_114,X_210)))) = meet(X_210,meet(join(X_209,X_114),join(meet(X_114,X_210),join(meet(X_114,X_209),meet(meet(X_114,X_209),meet(X_210,join(X_209,X_114))))))),
inference(resolve,[$cnf( $equal(meet(meet(X_210,join(X_209,X_114)),join(meet(meet(X_114,X_209),meet(X_210,join(X_209,X_114))),join(meet(X_114,X_209),meet(X_114,X_210)))),meet(X_210,meet(join(X_209,X_114),join(meet(X_114,X_210),join(meet(X_114,X_209),meet(meet(X_114,X_209),meet(X_210,join(X_209,X_114)))))))) )],[refute_0_1017,refute_0_1302]) ).
cnf(refute_0_1304,plain,
( meet(X_210,meet(join(X_209,X_114),join(meet(X_114,X_210),join(meet(X_114,X_209),meet(meet(X_114,X_209),meet(X_210,join(X_209,X_114))))))) != meet(X_210,join(meet(X_114,X_210),meet(X_114,X_209)))
| meet(meet(X_210,join(X_209,X_114)),join(meet(meet(X_210,join(X_209,X_114)),meet(X_114,X_209)),join(meet(X_114,X_209),meet(X_114,X_210)))) != meet(X_210,meet(join(X_209,X_114),join(meet(X_114,X_210),join(meet(X_114,X_209),meet(meet(X_114,X_209),meet(X_210,join(X_209,X_114)))))))
| meet(meet(X_210,join(X_209,X_114)),join(meet(meet(X_210,join(X_209,X_114)),meet(X_114,X_209)),join(meet(X_114,X_209),meet(X_114,X_210)))) = meet(X_210,join(meet(X_114,X_210),meet(X_114,X_209))) ),
inference(subst,[],[refute_0_93:[bind(X0,$fot(meet(meet(X_210,join(X_209,X_114)),join(meet(meet(X_210,join(X_209,X_114)),meet(X_114,X_209)),join(meet(X_114,X_209),meet(X_114,X_210)))))),bind(Y0,$fot(meet(X_210,meet(join(X_209,X_114),join(meet(X_114,X_210),join(meet(X_114,X_209),meet(meet(X_114,X_209),meet(X_210,join(X_209,X_114))))))))),bind(Z0,$fot(meet(X_210,join(meet(X_114,X_210),meet(X_114,X_209)))))]]) ).
cnf(refute_0_1305,plain,
( meet(X_210,meet(join(X_209,X_114),join(meet(X_114,X_210),join(meet(X_114,X_209),meet(meet(X_114,X_209),meet(X_210,join(X_209,X_114))))))) != meet(X_210,join(meet(X_114,X_210),meet(X_114,X_209)))
| meet(meet(X_210,join(X_209,X_114)),join(meet(meet(X_210,join(X_209,X_114)),meet(X_114,X_209)),join(meet(X_114,X_209),meet(X_114,X_210)))) = meet(X_210,join(meet(X_114,X_210),meet(X_114,X_209))) ),
inference(resolve,[$cnf( $equal(meet(meet(X_210,join(X_209,X_114)),join(meet(meet(X_210,join(X_209,X_114)),meet(X_114,X_209)),join(meet(X_114,X_209),meet(X_114,X_210)))),meet(X_210,meet(join(X_209,X_114),join(meet(X_114,X_210),join(meet(X_114,X_209),meet(meet(X_114,X_209),meet(X_210,join(X_209,X_114)))))))) )],[refute_0_1303,refute_0_1304]) ).
cnf(refute_0_1306,plain,
meet(meet(X_210,join(X_209,X_114)),join(meet(meet(X_210,join(X_209,X_114)),meet(X_114,X_209)),join(meet(X_114,X_209),meet(X_114,X_210)))) = meet(X_210,join(meet(X_114,X_210),meet(X_114,X_209))),
inference(resolve,[$cnf( $equal(meet(X_210,meet(join(X_209,X_114),join(meet(X_114,X_210),join(meet(X_114,X_209),meet(meet(X_114,X_209),meet(X_210,join(X_209,X_114))))))),meet(X_210,join(meet(X_114,X_210),meet(X_114,X_209)))) )],[refute_0_942,refute_0_1305]) ).
cnf(refute_0_1307,plain,
( meet(X_114,X_210) != meet(meet(X_210,join(X_209,X_114)),join(meet(meet(X_210,join(X_209,X_114)),meet(X_114,X_209)),join(meet(X_114,X_209),meet(X_114,X_210))))
| meet(meet(X_210,join(X_209,X_114)),join(meet(meet(X_210,join(X_209,X_114)),meet(X_114,X_209)),join(meet(X_114,X_209),meet(X_114,X_210)))) != meet(X_210,join(meet(X_114,X_210),meet(X_114,X_209)))
| meet(X_114,X_210) = meet(X_210,join(meet(X_114,X_210),meet(X_114,X_209))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(meet(X_114,X_210),meet(X_210,join(meet(X_114,X_210),meet(X_114,X_209)))) ),[0],$fot(meet(meet(X_210,join(X_209,X_114)),join(meet(meet(X_210,join(X_209,X_114)),meet(X_114,X_209)),join(meet(X_114,X_209),meet(X_114,X_210)))))]]) ).
cnf(refute_0_1308,plain,
( meet(X_114,X_210) != meet(meet(X_210,join(X_209,X_114)),join(meet(meet(X_210,join(X_209,X_114)),meet(X_114,X_209)),join(meet(X_114,X_209),meet(X_114,X_210))))
| meet(X_114,X_210) = meet(X_210,join(meet(X_114,X_210),meet(X_114,X_209))) ),
inference(resolve,[$cnf( $equal(meet(meet(X_210,join(X_209,X_114)),join(meet(meet(X_210,join(X_209,X_114)),meet(X_114,X_209)),join(meet(X_114,X_209),meet(X_114,X_210)))),meet(X_210,join(meet(X_114,X_210),meet(X_114,X_209)))) )],[refute_0_1306,refute_0_1307]) ).
cnf(refute_0_1309,plain,
( join(meet(meet(X_210,join(X_209,X_114)),meet(X_114,X_209)),meet(meet(X_210,join(X_209,X_114)),X_114)) != meet(meet(X_210,join(X_209,X_114)),join(meet(meet(X_210,join(X_209,X_114)),meet(X_114,X_209)),join(meet(X_114,X_209),meet(X_114,X_210))))
| meet(X_114,X_210) = meet(X_210,join(meet(X_114,X_210),meet(X_114,X_209))) ),
inference(resolve,[$cnf( $equal(meet(X_114,X_210),meet(meet(X_210,join(X_209,X_114)),join(meet(meet(X_210,join(X_209,X_114)),meet(X_114,X_209)),join(meet(X_114,X_209),meet(X_114,X_210))))) )],[refute_0_893,refute_0_1308]) ).
cnf(refute_0_1310,plain,
meet(X_114,X_210) = meet(X_210,join(meet(X_114,X_210),meet(X_114,X_209))),
inference(resolve,[$cnf( $equal(join(meet(meet(X_210,join(X_209,X_114)),meet(X_114,X_209)),meet(meet(X_210,join(X_209,X_114)),X_114)),meet(meet(X_210,join(X_209,X_114)),join(meet(meet(X_210,join(X_209,X_114)),meet(X_114,X_209)),join(meet(X_114,X_209),meet(X_114,X_210))))) )],[refute_0_816,refute_0_1309]) ).
cnf(refute_0_1311,plain,
( meet(X_114,X_210) != meet(X_210,join(meet(X_114,X_210),meet(X_114,X_209)))
| meet(X_210,join(meet(X_114,X_210),meet(X_114,X_209))) = meet(X_114,X_210) ),
inference(subst,[],[refute_0_16:[bind(X0,$fot(meet(X_114,X_210))),bind(Y0,$fot(meet(X_210,join(meet(X_114,X_210),meet(X_114,X_209)))))]]) ).
cnf(refute_0_1312,plain,
meet(X_210,join(meet(X_114,X_210),meet(X_114,X_209))) = meet(X_114,X_210),
inference(resolve,[$cnf( $equal(meet(X_114,X_210),meet(X_210,join(meet(X_114,X_210),meet(X_114,X_209)))) )],[refute_0_1310,refute_0_1311]) ).
cnf(refute_0_1313,plain,
meet(X_175,join(meet(X_173,X_175),meet(X_173,X_174))) = meet(X_173,X_175),
inference(subst,[],[refute_0_1312:[bind(X_114,$fot(X_173)),bind(X_209,$fot(X_174)),bind(X_210,$fot(X_175))]]) ).
cnf(refute_0_1314,plain,
meet(join(X_174,X_173),join(meet(X_173,X_175),meet(X_173,X_174))) = join(meet(X_173,X_175),meet(X_173,X_174)),
inference(subst,[],[refute_0_911:[bind(Y,$fot(X_174)),bind(X_209,$fot(X_175)),bind(X_210,$fot(X_174)),bind(X_22,$fot(X_173))]]) ).
cnf(refute_0_1315,plain,
meet(X_175,meet(join(X_174,X_173),join(meet(X_173,X_175),meet(X_173,X_174)))) = meet(X_175,meet(join(X_174,X_173),join(meet(X_173,X_175),meet(X_173,X_174)))),
introduced(tautology,[refl,[$fot(meet(X_175,meet(join(X_174,X_173),join(meet(X_173,X_175),meet(X_173,X_174)))))]]) ).
cnf(refute_0_1316,plain,
( meet(X_175,meet(join(X_174,X_173),join(meet(X_173,X_175),meet(X_173,X_174)))) != meet(X_175,meet(join(X_174,X_173),join(meet(X_173,X_175),meet(X_173,X_174))))
| meet(join(X_174,X_173),join(meet(X_173,X_175),meet(X_173,X_174))) != join(meet(X_173,X_175),meet(X_173,X_174))
| meet(X_175,meet(join(X_174,X_173),join(meet(X_173,X_175),meet(X_173,X_174)))) = meet(X_175,join(meet(X_173,X_175),meet(X_173,X_174))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_175,meet(join(X_174,X_173),join(meet(X_173,X_175),meet(X_173,X_174)))),meet(X_175,meet(join(X_174,X_173),join(meet(X_173,X_175),meet(X_173,X_174))))) ),[1,1],$fot(join(meet(X_173,X_175),meet(X_173,X_174)))]]) ).
cnf(refute_0_1317,plain,
( meet(join(X_174,X_173),join(meet(X_173,X_175),meet(X_173,X_174))) != join(meet(X_173,X_175),meet(X_173,X_174))
| meet(X_175,meet(join(X_174,X_173),join(meet(X_173,X_175),meet(X_173,X_174)))) = meet(X_175,join(meet(X_173,X_175),meet(X_173,X_174))) ),
inference(resolve,[$cnf( $equal(meet(X_175,meet(join(X_174,X_173),join(meet(X_173,X_175),meet(X_173,X_174)))),meet(X_175,meet(join(X_174,X_173),join(meet(X_173,X_175),meet(X_173,X_174))))) )],[refute_0_1315,refute_0_1316]) ).
cnf(refute_0_1318,plain,
meet(X_175,meet(join(X_174,X_173),join(meet(X_173,X_175),meet(X_173,X_174)))) = meet(X_175,join(meet(X_173,X_175),meet(X_173,X_174))),
inference(resolve,[$cnf( $equal(meet(join(X_174,X_173),join(meet(X_173,X_175),meet(X_173,X_174))),join(meet(X_173,X_175),meet(X_173,X_174))) )],[refute_0_1314,refute_0_1317]) ).
cnf(refute_0_1319,plain,
( meet(X_175,join(meet(X_173,X_175),meet(X_173,X_174))) != meet(X_173,X_175)
| meet(X_175,meet(join(X_174,X_173),join(meet(X_173,X_175),meet(X_173,X_174)))) != meet(X_175,join(meet(X_173,X_175),meet(X_173,X_174)))
| meet(X_175,meet(join(X_174,X_173),join(meet(X_173,X_175),meet(X_173,X_174)))) = meet(X_173,X_175) ),
inference(subst,[],[refute_0_93:[bind(X0,$fot(meet(X_175,meet(join(X_174,X_173),join(meet(X_173,X_175),meet(X_173,X_174)))))),bind(Y0,$fot(meet(X_175,join(meet(X_173,X_175),meet(X_173,X_174))))),bind(Z0,$fot(meet(X_173,X_175)))]]) ).
cnf(refute_0_1320,plain,
( meet(X_175,join(meet(X_173,X_175),meet(X_173,X_174))) != meet(X_173,X_175)
| meet(X_175,meet(join(X_174,X_173),join(meet(X_173,X_175),meet(X_173,X_174)))) = meet(X_173,X_175) ),
inference(resolve,[$cnf( $equal(meet(X_175,meet(join(X_174,X_173),join(meet(X_173,X_175),meet(X_173,X_174)))),meet(X_175,join(meet(X_173,X_175),meet(X_173,X_174)))) )],[refute_0_1318,refute_0_1319]) ).
cnf(refute_0_1321,plain,
meet(X_175,meet(join(X_174,X_173),join(meet(X_173,X_175),meet(X_173,X_174)))) = meet(X_173,X_175),
inference(resolve,[$cnf( $equal(meet(X_175,join(meet(X_173,X_175),meet(X_173,X_174))),meet(X_173,X_175)) )],[refute_0_1313,refute_0_1320]) ).
cnf(refute_0_1322,plain,
( meet(X_175,X_173) != meet(X_175,meet(join(X_174,X_173),join(meet(X_173,X_175),meet(X_173,X_174))))
| meet(X_175,meet(join(X_174,X_173),join(meet(X_173,X_175),meet(X_173,X_174)))) != meet(X_173,X_175)
| meet(X_175,X_173) = meet(X_173,X_175) ),
introduced(tautology,[equality,[$cnf( ~ $equal(meet(X_175,X_173),meet(X_173,X_175)) ),[0],$fot(meet(X_175,meet(join(X_174,X_173),join(meet(X_173,X_175),meet(X_173,X_174)))))]]) ).
cnf(refute_0_1323,plain,
( meet(X_175,X_173) != meet(X_175,meet(join(X_174,X_173),join(meet(X_173,X_175),meet(X_173,X_174))))
| meet(X_175,X_173) = meet(X_173,X_175) ),
inference(resolve,[$cnf( $equal(meet(X_175,meet(join(X_174,X_173),join(meet(X_173,X_175),meet(X_173,X_174)))),meet(X_173,X_175)) )],[refute_0_1321,refute_0_1322]) ).
cnf(refute_0_1324,plain,
meet(X_175,X_173) = meet(X_173,X_175),
inference(resolve,[$cnf( $equal(meet(X_175,X_173),meet(X_175,meet(join(X_174,X_173),join(meet(X_173,X_175),meet(X_173,X_174))))) )],[refute_0_809,refute_0_1323]) ).
cnf(refute_0_1325,plain,
( meet(X_175,X_173) != meet(X_173,X_175)
| meet(X_173,X_175) = meet(X_175,X_173) ),
inference(subst,[],[refute_0_16:[bind(X0,$fot(meet(X_175,X_173))),bind(Y0,$fot(meet(X_173,X_175)))]]) ).
cnf(refute_0_1326,plain,
meet(X_173,X_175) = meet(X_175,X_173),
inference(resolve,[$cnf( $equal(meet(X_175,X_173),meet(X_173,X_175)) )],[refute_0_1324,refute_0_1325]) ).
cnf(refute_0_1327,plain,
meet(join(a,b),c) = meet(c,join(a,b)),
inference(subst,[],[refute_0_1326:[bind(X_173,$fot(join(a,b))),bind(X_175,$fot(c))]]) ).
cnf(refute_0_1328,plain,
join(meet(join(X_26,X_219),X_27),meet(X_26,meet(X_27,join(X_26,X_219)))) = meet(join(X_26,X_219),X_27),
inference(subst,[],[refute_0_1120:[bind(Y,$fot(join(X_26,X_219)))]]) ).
cnf(refute_0_1329,plain,
meet(join(X_53,Y),meet(X_52,X_53)) = meet(X_52,meet(X_53,join(X_53,Y))),
inference(subst,[],[refute_0_230:[bind(X,$fot(join(X_53,Y))),bind(X_22,$fot(X_52)),bind(X_23,$fot(X_53))]]) ).
cnf(refute_0_1330,plain,
meet(X_53,join(X_53,Y)) = X_53,
inference(subst,[],[absorption1:[bind(X,$fot(X_53))]]) ).
cnf(refute_0_1331,plain,
( meet(X_53,join(X_53,Y)) != X_53
| meet(join(X_53,Y),meet(X_52,X_53)) != meet(X_52,meet(X_53,join(X_53,Y)))
| meet(join(X_53,Y),meet(X_52,X_53)) = meet(X_52,X_53) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_53,Y),meet(X_52,X_53)),meet(X_52,meet(X_53,join(X_53,Y)))) ),[1,1],$fot(X_53)]]) ).
cnf(refute_0_1332,plain,
( meet(join(X_53,Y),meet(X_52,X_53)) != meet(X_52,meet(X_53,join(X_53,Y)))
| meet(join(X_53,Y),meet(X_52,X_53)) = meet(X_52,X_53) ),
inference(resolve,[$cnf( $equal(meet(X_53,join(X_53,Y)),X_53) )],[refute_0_1330,refute_0_1331]) ).
cnf(refute_0_1333,plain,
meet(join(X_53,Y),meet(X_52,X_53)) = meet(X_52,X_53),
inference(resolve,[$cnf( $equal(meet(join(X_53,Y),meet(X_52,X_53)),meet(X_52,meet(X_53,join(X_53,Y)))) )],[refute_0_1329,refute_0_1332]) ).
cnf(refute_0_1334,plain,
( meet(X_51,meet(X_53,X_52)) != meet(X_52,meet(X_53,X_51))
| meet(X_52,meet(X_53,X_51)) = meet(X_51,meet(X_53,X_52)) ),
inference(subst,[],[refute_0_16:[bind(X0,$fot(meet(X_51,meet(X_53,X_52)))),bind(Y0,$fot(meet(X_52,meet(X_53,X_51))))]]) ).
cnf(refute_0_1335,plain,
meet(X_52,meet(X_53,X_51)) = meet(X_51,meet(X_53,X_52)),
inference(resolve,[$cnf( $equal(meet(X_51,meet(X_53,X_52)),meet(X_52,meet(X_53,X_51))) )],[refute_0_319,refute_0_1334]) ).
cnf(refute_0_1336,plain,
meet(join(X_53,Y),meet(X_52,X_53)) = meet(X_53,meet(X_52,join(X_53,Y))),
inference(subst,[],[refute_0_1335:[bind(X_51,$fot(X_53)),bind(X_52,$fot(join(X_53,Y))),bind(X_53,$fot(X_52))]]) ).
cnf(refute_0_1337,plain,
( meet(join(X_53,Y),meet(X_52,X_53)) != meet(X_52,X_53)
| meet(join(X_53,Y),meet(X_52,X_53)) != meet(X_53,meet(X_52,join(X_53,Y)))
| meet(X_53,meet(X_52,join(X_53,Y))) = meet(X_52,X_53) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_53,Y),meet(X_52,X_53)),meet(X_52,X_53)) ),[0],$fot(meet(X_53,meet(X_52,join(X_53,Y))))]]) ).
cnf(refute_0_1338,plain,
( meet(join(X_53,Y),meet(X_52,X_53)) != meet(X_52,X_53)
| meet(X_53,meet(X_52,join(X_53,Y))) = meet(X_52,X_53) ),
inference(resolve,[$cnf( $equal(meet(join(X_53,Y),meet(X_52,X_53)),meet(X_53,meet(X_52,join(X_53,Y)))) )],[refute_0_1336,refute_0_1337]) ).
cnf(refute_0_1339,plain,
meet(X_53,meet(X_52,join(X_53,Y))) = meet(X_52,X_53),
inference(resolve,[$cnf( $equal(meet(join(X_53,Y),meet(X_52,X_53)),meet(X_52,X_53)) )],[refute_0_1333,refute_0_1338]) ).
cnf(refute_0_1340,plain,
meet(X_26,meet(X_27,join(X_26,X_219))) = meet(X_27,X_26),
inference(subst,[],[refute_0_1339:[bind(Y,$fot(X_219)),bind(X_52,$fot(X_27)),bind(X_53,$fot(X_26))]]) ).
cnf(refute_0_1341,plain,
( join(meet(join(X_26,X_219),X_27),meet(X_26,meet(X_27,join(X_26,X_219)))) != meet(join(X_26,X_219),X_27)
| meet(X_26,meet(X_27,join(X_26,X_219))) != meet(X_27,X_26)
| join(meet(join(X_26,X_219),X_27),meet(X_27,X_26)) = meet(join(X_26,X_219),X_27) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(join(X_26,X_219),X_27),meet(X_26,meet(X_27,join(X_26,X_219)))),meet(join(X_26,X_219),X_27)) ),[0,1],$fot(meet(X_27,X_26))]]) ).
cnf(refute_0_1342,plain,
( join(meet(join(X_26,X_219),X_27),meet(X_26,meet(X_27,join(X_26,X_219)))) != meet(join(X_26,X_219),X_27)
| join(meet(join(X_26,X_219),X_27),meet(X_27,X_26)) = meet(join(X_26,X_219),X_27) ),
inference(resolve,[$cnf( $equal(meet(X_26,meet(X_27,join(X_26,X_219))),meet(X_27,X_26)) )],[refute_0_1340,refute_0_1341]) ).
cnf(refute_0_1343,plain,
join(meet(join(X_26,X_219),X_27),meet(X_27,X_26)) = meet(join(X_26,X_219),X_27),
inference(resolve,[$cnf( $equal(join(meet(join(X_26,X_219),X_27),meet(X_26,meet(X_27,join(X_26,X_219)))),meet(join(X_26,X_219),X_27)) )],[refute_0_1328,refute_0_1342]) ).
cnf(refute_0_1344,plain,
join(meet(X_69,X_70),meet(X_193,X_194)) = join(meet(X_193,X_194),meet(X_70,X_69)),
inference(subst,[],[refute_0_135:[bind(X_30,$fot(meet(X_193,X_194)))]]) ).
cnf(refute_0_1345,plain,
( join(meet(X_69,X_70),meet(X_193,X_194)) != join(meet(X_193,X_194),meet(X_70,X_69))
| join(meet(X_69,X_70),meet(X_193,X_194)) != join(meet(X_69,X_70),meet(X_194,X_193))
| join(meet(X_69,X_70),meet(X_194,X_193)) = join(meet(X_193,X_194),meet(X_70,X_69)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_69,X_70),meet(X_193,X_194)),join(meet(X_193,X_194),meet(X_70,X_69))) ),[0],$fot(join(meet(X_69,X_70),meet(X_194,X_193)))]]) ).
cnf(refute_0_1346,plain,
( join(meet(X_69,X_70),meet(X_193,X_194)) != join(meet(X_193,X_194),meet(X_70,X_69))
| join(meet(X_69,X_70),meet(X_194,X_193)) = join(meet(X_193,X_194),meet(X_70,X_69)) ),
inference(resolve,[$cnf( $equal(join(meet(X_69,X_70),meet(X_193,X_194)),join(meet(X_69,X_70),meet(X_194,X_193))) )],[refute_0_868,refute_0_1345]) ).
cnf(refute_0_1347,plain,
join(meet(X_69,X_70),meet(X_194,X_193)) = join(meet(X_193,X_194),meet(X_70,X_69)),
inference(resolve,[$cnf( $equal(join(meet(X_69,X_70),meet(X_193,X_194)),join(meet(X_193,X_194),meet(X_70,X_69))) )],[refute_0_1344,refute_0_1346]) ).
cnf(refute_0_1348,plain,
( join(meet(X_69,X_70),meet(X_194,X_193)) != join(meet(X_193,X_194),meet(X_70,X_69))
| join(meet(X_193,X_194),meet(X_70,X_69)) = join(meet(X_69,X_70),meet(X_194,X_193)) ),
inference(subst,[],[refute_0_16:[bind(X0,$fot(join(meet(X_69,X_70),meet(X_194,X_193)))),bind(Y0,$fot(join(meet(X_193,X_194),meet(X_70,X_69))))]]) ).
cnf(refute_0_1349,plain,
join(meet(X_193,X_194),meet(X_70,X_69)) = join(meet(X_69,X_70),meet(X_194,X_193)),
inference(resolve,[$cnf( $equal(join(meet(X_69,X_70),meet(X_194,X_193)),join(meet(X_193,X_194),meet(X_70,X_69))) )],[refute_0_1347,refute_0_1348]) ).
cnf(refute_0_1350,plain,
join(meet(join(X_26,X_219),X_27),meet(X_27,X_26)) = join(meet(X_26,X_27),meet(X_27,join(X_26,X_219))),
inference(subst,[],[refute_0_1349:[bind(X_193,$fot(join(X_26,X_219))),bind(X_194,$fot(X_27)),bind(X_69,$fot(X_26)),bind(X_70,$fot(X_27))]]) ).
cnf(refute_0_1351,plain,
( join(meet(join(X_26,X_219),X_27),meet(X_27,X_26)) != join(meet(X_26,X_27),meet(X_27,join(X_26,X_219)))
| join(meet(join(X_26,X_219),X_27),meet(X_27,X_26)) != meet(join(X_26,X_219),X_27)
| join(meet(X_26,X_27),meet(X_27,join(X_26,X_219))) = meet(join(X_26,X_219),X_27) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(join(X_26,X_219),X_27),meet(X_27,X_26)),meet(join(X_26,X_219),X_27)) ),[0],$fot(join(meet(X_26,X_27),meet(X_27,join(X_26,X_219))))]]) ).
cnf(refute_0_1352,plain,
( join(meet(join(X_26,X_219),X_27),meet(X_27,X_26)) != meet(join(X_26,X_219),X_27)
| join(meet(X_26,X_27),meet(X_27,join(X_26,X_219))) = meet(join(X_26,X_219),X_27) ),
inference(resolve,[$cnf( $equal(join(meet(join(X_26,X_219),X_27),meet(X_27,X_26)),join(meet(X_26,X_27),meet(X_27,join(X_26,X_219)))) )],[refute_0_1350,refute_0_1351]) ).
cnf(refute_0_1353,plain,
join(meet(X_26,X_27),meet(X_27,join(X_26,X_219))) = meet(join(X_26,X_219),X_27),
inference(resolve,[$cnf( $equal(join(meet(join(X_26,X_219),X_27),meet(X_27,X_26)),meet(join(X_26,X_219),X_27)) )],[refute_0_1343,refute_0_1352]) ).
cnf(refute_0_1354,plain,
join(meet(a,c),meet(c,join(a,b))) = meet(join(a,b),c),
inference(subst,[],[refute_0_1353:[bind(X_219,$fot(b)),bind(X_26,$fot(a)),bind(X_27,$fot(c))]]) ).
cnf(refute_0_1355,plain,
( join(meet(a,c),meet(c,join(a,b))) != meet(join(a,b),c)
| meet(join(a,b),c) != meet(c,join(a,b))
| join(meet(a,c),meet(c,join(a,b))) = meet(c,join(a,b)) ),
inference(subst,[],[refute_0_93:[bind(X0,$fot(join(meet(a,c),meet(c,join(a,b))))),bind(Y0,$fot(meet(join(a,b),c))),bind(Z0,$fot(meet(c,join(a,b))))]]) ).
cnf(refute_0_1356,plain,
( meet(join(a,b),c) != meet(c,join(a,b))
| join(meet(a,c),meet(c,join(a,b))) = meet(c,join(a,b)) ),
inference(resolve,[$cnf( $equal(join(meet(a,c),meet(c,join(a,b))),meet(join(a,b),c)) )],[refute_0_1354,refute_0_1355]) ).
cnf(refute_0_1357,plain,
join(meet(a,c),meet(c,join(a,b))) = meet(c,join(a,b)),
inference(resolve,[$cnf( $equal(meet(join(a,b),c),meet(c,join(a,b))) )],[refute_0_1327,refute_0_1356]) ).
cnf(refute_0_1358,plain,
join(meet(a,b),join(meet(a,c),meet(c,join(a,b)))) = join(meet(a,b),join(meet(a,c),meet(c,join(a,b)))),
introduced(tautology,[refl,[$fot(join(meet(a,b),join(meet(a,c),meet(c,join(a,b)))))]]) ).
cnf(refute_0_1359,plain,
( join(meet(a,b),join(meet(a,c),meet(c,join(a,b)))) != join(meet(a,b),join(meet(a,c),meet(c,join(a,b))))
| join(meet(a,c),meet(c,join(a,b))) != meet(c,join(a,b))
| join(meet(a,b),join(meet(a,c),meet(c,join(a,b)))) = join(meet(a,b),meet(c,join(a,b))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(a,b),join(meet(a,c),meet(c,join(a,b)))),join(meet(a,b),join(meet(a,c),meet(c,join(a,b))))) ),[1,1],$fot(meet(c,join(a,b)))]]) ).
cnf(refute_0_1360,plain,
( join(meet(a,c),meet(c,join(a,b))) != meet(c,join(a,b))
| join(meet(a,b),join(meet(a,c),meet(c,join(a,b)))) = join(meet(a,b),meet(c,join(a,b))) ),
inference(resolve,[$cnf( $equal(join(meet(a,b),join(meet(a,c),meet(c,join(a,b)))),join(meet(a,b),join(meet(a,c),meet(c,join(a,b))))) )],[refute_0_1358,refute_0_1359]) ).
cnf(refute_0_1361,plain,
join(meet(a,b),join(meet(a,c),meet(c,join(a,b)))) = join(meet(a,b),meet(c,join(a,b))),
inference(resolve,[$cnf( $equal(join(meet(a,c),meet(c,join(a,b))),meet(c,join(a,b))) )],[refute_0_1357,refute_0_1360]) ).
cnf(refute_0_1362,plain,
meet(a,join(meet(a,b),join(meet(a,c),meet(c,join(a,b))))) = meet(a,join(meet(a,b),join(meet(a,c),meet(c,join(a,b))))),
introduced(tautology,[refl,[$fot(meet(a,join(meet(a,b),join(meet(a,c),meet(c,join(a,b))))))]]) ).
cnf(refute_0_1363,plain,
( join(meet(a,b),join(meet(a,c),meet(c,join(a,b)))) != join(meet(a,b),meet(c,join(a,b)))
| meet(a,join(meet(a,b),join(meet(a,c),meet(c,join(a,b))))) != meet(a,join(meet(a,b),join(meet(a,c),meet(c,join(a,b)))))
| meet(a,join(meet(a,b),join(meet(a,c),meet(c,join(a,b))))) = meet(a,join(meet(a,b),meet(c,join(a,b)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(a,join(meet(a,b),join(meet(a,c),meet(c,join(a,b))))),meet(a,join(meet(a,b),join(meet(a,c),meet(c,join(a,b)))))) ),[1,1],$fot(join(meet(a,b),meet(c,join(a,b))))]]) ).
cnf(refute_0_1364,plain,
( join(meet(a,b),join(meet(a,c),meet(c,join(a,b)))) != join(meet(a,b),meet(c,join(a,b)))
| meet(a,join(meet(a,b),join(meet(a,c),meet(c,join(a,b))))) = meet(a,join(meet(a,b),meet(c,join(a,b)))) ),
inference(resolve,[$cnf( $equal(meet(a,join(meet(a,b),join(meet(a,c),meet(c,join(a,b))))),meet(a,join(meet(a,b),join(meet(a,c),meet(c,join(a,b)))))) )],[refute_0_1362,refute_0_1363]) ).
cnf(refute_0_1365,plain,
meet(a,join(meet(a,b),join(meet(a,c),meet(c,join(a,b))))) = meet(a,join(meet(a,b),meet(c,join(a,b)))),
inference(resolve,[$cnf( $equal(join(meet(a,b),join(meet(a,c),meet(c,join(a,b)))),join(meet(a,b),meet(c,join(a,b)))) )],[refute_0_1361,refute_0_1364]) ).
cnf(refute_0_1366,plain,
( meet(a,join(meet(a,b),join(meet(a,c),meet(c,join(a,b))))) != meet(a,join(meet(a,b),meet(c,join(a,b))))
| meet(a,join(meet(a,b),meet(c,join(a,b)))) != join(meet(a,b),meet(a,c))
| meet(a,join(meet(a,b),join(meet(a,c),meet(c,join(a,b))))) = join(meet(a,b),meet(a,c)) ),
inference(subst,[],[refute_0_93:[bind(X0,$fot(meet(a,join(meet(a,b),join(meet(a,c),meet(c,join(a,b))))))),bind(Y0,$fot(meet(a,join(meet(a,b),meet(c,join(a,b)))))),bind(Z0,$fot(join(meet(a,b),meet(a,c))))]]) ).
cnf(refute_0_1367,plain,
( meet(a,join(meet(a,b),meet(c,join(a,b)))) != join(meet(a,b),meet(a,c))
| meet(a,join(meet(a,b),join(meet(a,c),meet(c,join(a,b))))) = join(meet(a,b),meet(a,c)) ),
inference(resolve,[$cnf( $equal(meet(a,join(meet(a,b),join(meet(a,c),meet(c,join(a,b))))),meet(a,join(meet(a,b),meet(c,join(a,b))))) )],[refute_0_1365,refute_0_1366]) ).
cnf(refute_0_1368,plain,
meet(a,join(meet(a,b),join(meet(a,c),meet(c,join(a,b))))) = join(meet(a,b),meet(a,c)),
inference(resolve,[$cnf( $equal(meet(a,join(meet(a,b),meet(c,join(a,b)))),join(meet(a,b),meet(a,c))) )],[refute_0_587,refute_0_1367]) ).
cnf(refute_0_1369,plain,
( join(meet(a,b),meet(a,c)) != join(meet(a,b),meet(a,c))
| meet(a,join(meet(a,b),join(meet(a,c),meet(c,join(a,b))))) != join(meet(a,b),meet(a,c))
| join(meet(a,b),meet(a,c)) = meet(a,join(meet(a,b),join(meet(a,c),meet(c,join(a,b))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(meet(a,b),meet(a,c)),meet(a,join(meet(a,b),join(meet(a,c),meet(c,join(a,b)))))) ),[1],$fot(join(meet(a,b),meet(a,c)))]]) ).
cnf(refute_0_1370,plain,
( join(meet(a,b),meet(a,c)) != join(meet(a,b),meet(a,c))
| join(meet(a,b),meet(a,c)) = meet(a,join(meet(a,b),join(meet(a,c),meet(c,join(a,b))))) ),
inference(resolve,[$cnf( $equal(meet(a,join(meet(a,b),join(meet(a,c),meet(c,join(a,b))))),join(meet(a,b),meet(a,c))) )],[refute_0_1368,refute_0_1369]) ).
cnf(refute_0_1371,plain,
join(meet(a,b),meet(a,c)) != join(meet(a,b),meet(a,c)),
inference(resolve,[$cnf( $equal(join(meet(a,b),meet(a,c)),meet(a,join(meet(a,b),join(meet(a,c),meet(c,join(a,b)))))) )],[refute_0_1370,refute_0_577]) ).
cnf(refute_0_1372,plain,
join(meet(a,b),meet(a,c)) = join(meet(a,b),meet(a,c)),
introduced(tautology,[refl,[$fot(join(meet(a,b),meet(a,c)))]]) ).
cnf(refute_0_1373,plain,
$false,
inference(resolve,[$cnf( $equal(join(meet(a,b),meet(a,c)),join(meet(a,b),meet(a,c))) )],[refute_0_1372,refute_0_1371]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LAT143-1 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.33 % Computer : n020.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Thu Jun 30 13:08:15 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 22.72/22.92 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 22.72/22.92
% 22.72/22.92 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 22.91/23.12
%------------------------------------------------------------------------------