TSTP Solution File: LAT008-1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : LAT008-1 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sun Jul 17 05:58:49 EDT 2022
% Result : Unsatisfiable 1.80s 2.00s
% Output : CNFRefutation 1.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 143
% Number of leaves : 277
% Syntax : Number of clauses : 1002 ( 480 unt; 0 nHn; 503 RR)
% Number of literals : 1763 (1762 equ; 763 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 2123 ( 68 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(absorption,axiom,
meet(X,join(X,Y)) = X ).
cnf(distribution,axiom,
meet(X,join(Y,Z)) = join(meet(Z,X),meet(Y,X)) ).
cnf(prove_absorbtion_dual,negated_conjecture,
join(a,meet(a,b)) != a ).
cnf(refute_0_0,plain,
meet(join(X_9,X_10),join(Y,join(X_10,X_8))) = join(meet(join(X_10,X_8),join(X_9,X_10)),meet(Y,join(X_9,X_10))),
inference(subst,[],[distribution:[bind(X,$fot(join(X_9,X_10))),bind(Z,$fot(join(X_10,X_8)))]]) ).
cnf(refute_0_1,plain,
meet(join(X_4,Y),join(X_3,X_4)) = join(meet(X_4,join(X_4,Y)),meet(X_3,join(X_4,Y))),
inference(subst,[],[distribution:[bind(X,$fot(join(X_4,Y))),bind(Y,$fot(X_3)),bind(Z,$fot(X_4))]]) ).
cnf(refute_0_2,plain,
meet(X_4,join(X_4,Y)) = X_4,
inference(subst,[],[absorption:[bind(X,$fot(X_4))]]) ).
cnf(refute_0_3,plain,
( meet(X_4,join(X_4,Y)) != X_4
| meet(join(X_4,Y),join(X_3,X_4)) != join(meet(X_4,join(X_4,Y)),meet(X_3,join(X_4,Y)))
| meet(join(X_4,Y),join(X_3,X_4)) = join(X_4,meet(X_3,join(X_4,Y))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_4,Y),join(X_3,X_4)),join(meet(X_4,join(X_4,Y)),meet(X_3,join(X_4,Y)))) ),[1,0],$fot(X_4)]]) ).
cnf(refute_0_4,plain,
( meet(join(X_4,Y),join(X_3,X_4)) != join(meet(X_4,join(X_4,Y)),meet(X_3,join(X_4,Y)))
| meet(join(X_4,Y),join(X_3,X_4)) = join(X_4,meet(X_3,join(X_4,Y))) ),
inference(resolve,[$cnf( $equal(meet(X_4,join(X_4,Y)),X_4) )],[refute_0_2,refute_0_3]) ).
cnf(refute_0_5,plain,
meet(join(X_4,Y),join(X_3,X_4)) = join(X_4,meet(X_3,join(X_4,Y))),
inference(resolve,[$cnf( $equal(meet(join(X_4,Y),join(X_3,X_4)),join(meet(X_4,join(X_4,Y)),meet(X_3,join(X_4,Y)))) )],[refute_0_1,refute_0_4]) ).
cnf(refute_0_6,plain,
meet(join(X_10,X_8),join(X_9,X_10)) = join(X_10,meet(X_9,join(X_10,X_8))),
inference(subst,[],[refute_0_5:[bind(Y,$fot(X_8)),bind(X_3,$fot(X_9)),bind(X_4,$fot(X_10))]]) ).
cnf(refute_0_7,plain,
( meet(join(X_10,X_8),join(X_9,X_10)) != join(X_10,meet(X_9,join(X_10,X_8)))
| meet(join(X_9,X_10),join(Y,join(X_10,X_8))) != join(meet(join(X_10,X_8),join(X_9,X_10)),meet(Y,join(X_9,X_10)))
| meet(join(X_9,X_10),join(Y,join(X_10,X_8))) = join(join(X_10,meet(X_9,join(X_10,X_8))),meet(Y,join(X_9,X_10))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_9,X_10),join(Y,join(X_10,X_8))),join(meet(join(X_10,X_8),join(X_9,X_10)),meet(Y,join(X_9,X_10)))) ),[1,0],$fot(join(X_10,meet(X_9,join(X_10,X_8))))]]) ).
cnf(refute_0_8,plain,
( meet(join(X_9,X_10),join(Y,join(X_10,X_8))) != join(meet(join(X_10,X_8),join(X_9,X_10)),meet(Y,join(X_9,X_10)))
| meet(join(X_9,X_10),join(Y,join(X_10,X_8))) = join(join(X_10,meet(X_9,join(X_10,X_8))),meet(Y,join(X_9,X_10))) ),
inference(resolve,[$cnf( $equal(meet(join(X_10,X_8),join(X_9,X_10)),join(X_10,meet(X_9,join(X_10,X_8)))) )],[refute_0_6,refute_0_7]) ).
cnf(refute_0_9,plain,
meet(join(X_9,X_10),join(Y,join(X_10,X_8))) = join(join(X_10,meet(X_9,join(X_10,X_8))),meet(Y,join(X_9,X_10))),
inference(resolve,[$cnf( $equal(meet(join(X_9,X_10),join(Y,join(X_10,X_8))),join(meet(join(X_10,X_8),join(X_9,X_10)),meet(Y,join(X_9,X_10)))) )],[refute_0_0,refute_0_8]) ).
cnf(refute_0_10,plain,
meet(join(X_6,X_7),join(Y,join(X_6,X_5))) = join(meet(join(X_6,X_5),join(X_6,X_7)),meet(Y,join(X_6,X_7))),
inference(subst,[],[distribution:[bind(X,$fot(join(X_6,X_7))),bind(Z,$fot(join(X_6,X_5)))]]) ).
cnf(refute_0_11,plain,
meet(join(X_3,Y),join(X_3,X_4)) = join(meet(X_4,join(X_3,Y)),meet(X_3,join(X_3,Y))),
inference(subst,[],[distribution:[bind(X,$fot(join(X_3,Y))),bind(Y,$fot(X_3)),bind(Z,$fot(X_4))]]) ).
cnf(refute_0_12,plain,
meet(X_3,join(X_3,Y)) = X_3,
inference(subst,[],[absorption:[bind(X,$fot(X_3))]]) ).
cnf(refute_0_13,plain,
( meet(X_3,join(X_3,Y)) != X_3
| meet(join(X_3,Y),join(X_3,X_4)) != join(meet(X_4,join(X_3,Y)),meet(X_3,join(X_3,Y)))
| meet(join(X_3,Y),join(X_3,X_4)) = join(meet(X_4,join(X_3,Y)),X_3) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_3,Y),join(X_3,X_4)),join(meet(X_4,join(X_3,Y)),meet(X_3,join(X_3,Y)))) ),[1,1],$fot(X_3)]]) ).
cnf(refute_0_14,plain,
( meet(join(X_3,Y),join(X_3,X_4)) != join(meet(X_4,join(X_3,Y)),meet(X_3,join(X_3,Y)))
| meet(join(X_3,Y),join(X_3,X_4)) = join(meet(X_4,join(X_3,Y)),X_3) ),
inference(resolve,[$cnf( $equal(meet(X_3,join(X_3,Y)),X_3) )],[refute_0_12,refute_0_13]) ).
cnf(refute_0_15,plain,
meet(join(X_3,Y),join(X_3,X_4)) = join(meet(X_4,join(X_3,Y)),X_3),
inference(resolve,[$cnf( $equal(meet(join(X_3,Y),join(X_3,X_4)),join(meet(X_4,join(X_3,Y)),meet(X_3,join(X_3,Y)))) )],[refute_0_11,refute_0_14]) ).
cnf(refute_0_16,plain,
meet(join(X_6,X_5),join(X_6,X_7)) = join(meet(X_7,join(X_6,X_5)),X_6),
inference(subst,[],[refute_0_15:[bind(Y,$fot(X_5)),bind(X_3,$fot(X_6)),bind(X_4,$fot(X_7))]]) ).
cnf(refute_0_17,plain,
( meet(join(X_6,X_5),join(X_6,X_7)) != join(meet(X_7,join(X_6,X_5)),X_6)
| meet(join(X_6,X_7),join(Y,join(X_6,X_5))) != join(meet(join(X_6,X_5),join(X_6,X_7)),meet(Y,join(X_6,X_7)))
| meet(join(X_6,X_7),join(Y,join(X_6,X_5))) = join(join(meet(X_7,join(X_6,X_5)),X_6),meet(Y,join(X_6,X_7))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_6,X_7),join(Y,join(X_6,X_5))),join(meet(join(X_6,X_5),join(X_6,X_7)),meet(Y,join(X_6,X_7)))) ),[1,0],$fot(join(meet(X_7,join(X_6,X_5)),X_6))]]) ).
cnf(refute_0_18,plain,
( meet(join(X_6,X_7),join(Y,join(X_6,X_5))) != join(meet(join(X_6,X_5),join(X_6,X_7)),meet(Y,join(X_6,X_7)))
| meet(join(X_6,X_7),join(Y,join(X_6,X_5))) = join(join(meet(X_7,join(X_6,X_5)),X_6),meet(Y,join(X_6,X_7))) ),
inference(resolve,[$cnf( $equal(meet(join(X_6,X_5),join(X_6,X_7)),join(meet(X_7,join(X_6,X_5)),X_6)) )],[refute_0_16,refute_0_17]) ).
cnf(refute_0_19,plain,
meet(join(X_6,X_7),join(Y,join(X_6,X_5))) = join(join(meet(X_7,join(X_6,X_5)),X_6),meet(Y,join(X_6,X_7))),
inference(resolve,[$cnf( $equal(meet(join(X_6,X_7),join(Y,join(X_6,X_5))),join(meet(join(X_6,X_5),join(X_6,X_7)),meet(Y,join(X_6,X_7)))) )],[refute_0_10,refute_0_18]) ).
cnf(refute_0_20,plain,
meet(meet(X_4,X_2),join(meet(X_4,X_2),meet(X_3,X_2))) = meet(X_4,X_2),
inference(subst,[],[absorption:[bind(X,$fot(meet(X_4,X_2))),bind(Y,$fot(meet(X_3,X_2)))]]) ).
cnf(refute_0_21,plain,
meet(X_2,join(X_3,X_4)) = join(meet(X_4,X_2),meet(X_3,X_2)),
inference(subst,[],[distribution:[bind(X,$fot(X_2)),bind(Y,$fot(X_3)),bind(Z,$fot(X_4))]]) ).
cnf(refute_0_22,plain,
X0 = X0,
introduced(tautology,[refl,[$fot(X0)]]) ).
cnf(refute_0_23,plain,
( X0 != X0
| X0 != Y0
| Y0 = X0 ),
introduced(tautology,[equality,[$cnf( $equal(X0,X0) ),[0],$fot(Y0)]]) ).
cnf(refute_0_24,plain,
( X0 != Y0
| Y0 = X0 ),
inference(resolve,[$cnf( $equal(X0,X0) )],[refute_0_22,refute_0_23]) ).
cnf(refute_0_25,plain,
( meet(X_2,join(X_3,X_4)) != join(meet(X_4,X_2),meet(X_3,X_2))
| join(meet(X_4,X_2),meet(X_3,X_2)) = meet(X_2,join(X_3,X_4)) ),
inference(subst,[],[refute_0_24:[bind(X0,$fot(meet(X_2,join(X_3,X_4)))),bind(Y0,$fot(join(meet(X_4,X_2),meet(X_3,X_2))))]]) ).
cnf(refute_0_26,plain,
join(meet(X_4,X_2),meet(X_3,X_2)) = meet(X_2,join(X_3,X_4)),
inference(resolve,[$cnf( $equal(meet(X_2,join(X_3,X_4)),join(meet(X_4,X_2),meet(X_3,X_2))) )],[refute_0_21,refute_0_25]) ).
cnf(refute_0_27,plain,
( join(meet(X_4,X_2),meet(X_3,X_2)) != meet(X_2,join(X_3,X_4))
| meet(meet(X_4,X_2),join(meet(X_4,X_2),meet(X_3,X_2))) != meet(X_4,X_2)
| meet(meet(X_4,X_2),meet(X_2,join(X_3,X_4))) = meet(X_4,X_2) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_4,X_2),join(meet(X_4,X_2),meet(X_3,X_2))),meet(X_4,X_2)) ),[0,1],$fot(meet(X_2,join(X_3,X_4)))]]) ).
cnf(refute_0_28,plain,
( meet(meet(X_4,X_2),join(meet(X_4,X_2),meet(X_3,X_2))) != meet(X_4,X_2)
| meet(meet(X_4,X_2),meet(X_2,join(X_3,X_4))) = meet(X_4,X_2) ),
inference(resolve,[$cnf( $equal(join(meet(X_4,X_2),meet(X_3,X_2)),meet(X_2,join(X_3,X_4))) )],[refute_0_26,refute_0_27]) ).
cnf(refute_0_29,plain,
meet(meet(X_4,X_2),meet(X_2,join(X_3,X_4))) = meet(X_4,X_2),
inference(resolve,[$cnf( $equal(meet(meet(X_4,X_2),join(meet(X_4,X_2),meet(X_3,X_2))),meet(X_4,X_2)) )],[refute_0_20,refute_0_28]) ).
cnf(refute_0_30,plain,
meet(meet(meet(Y,X),X_14),meet(X_14,join(meet(Z,X),meet(Y,X)))) = meet(meet(Y,X),X_14),
inference(subst,[],[refute_0_29:[bind(X_2,$fot(X_14)),bind(X_3,$fot(meet(Z,X))),bind(X_4,$fot(meet(Y,X)))]]) ).
cnf(refute_0_31,plain,
( meet(X,join(Y,Z)) != join(meet(Z,X),meet(Y,X))
| join(meet(Z,X),meet(Y,X)) = meet(X,join(Y,Z)) ),
inference(subst,[],[refute_0_24:[bind(X0,$fot(meet(X,join(Y,Z)))),bind(Y0,$fot(join(meet(Z,X),meet(Y,X))))]]) ).
cnf(refute_0_32,plain,
join(meet(Z,X),meet(Y,X)) = meet(X,join(Y,Z)),
inference(resolve,[$cnf( $equal(meet(X,join(Y,Z)),join(meet(Z,X),meet(Y,X))) )],[distribution,refute_0_31]) ).
cnf(refute_0_33,plain,
( join(meet(Z,X),meet(Y,X)) != meet(X,join(Y,Z))
| meet(meet(meet(Y,X),X_14),meet(X_14,join(meet(Z,X),meet(Y,X)))) != meet(meet(Y,X),X_14)
| meet(meet(meet(Y,X),X_14),meet(X_14,meet(X,join(Y,Z)))) = meet(meet(Y,X),X_14) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(meet(Y,X),X_14),meet(X_14,join(meet(Z,X),meet(Y,X)))),meet(meet(Y,X),X_14)) ),[0,1,1],$fot(meet(X,join(Y,Z)))]]) ).
cnf(refute_0_34,plain,
( meet(meet(meet(Y,X),X_14),meet(X_14,join(meet(Z,X),meet(Y,X)))) != meet(meet(Y,X),X_14)
| meet(meet(meet(Y,X),X_14),meet(X_14,meet(X,join(Y,Z)))) = meet(meet(Y,X),X_14) ),
inference(resolve,[$cnf( $equal(join(meet(Z,X),meet(Y,X)),meet(X,join(Y,Z))) )],[refute_0_32,refute_0_33]) ).
cnf(refute_0_35,plain,
meet(meet(meet(Y,X),X_14),meet(X_14,meet(X,join(Y,Z)))) = meet(meet(Y,X),X_14),
inference(resolve,[$cnf( $equal(meet(meet(meet(Y,X),X_14),meet(X_14,join(meet(Z,X),meet(Y,X)))),meet(meet(Y,X),X_14)) )],[refute_0_30,refute_0_34]) ).
cnf(refute_0_36,plain,
meet(meet(meet(X_32,X_32),X_34),meet(X_34,meet(X_32,join(X_32,X_33)))) = meet(meet(X_32,X_32),X_34),
inference(subst,[],[refute_0_35:[bind(X,$fot(X_32)),bind(Y,$fot(X_32)),bind(Z,$fot(X_33)),bind(X_14,$fot(X_34))]]) ).
cnf(refute_0_37,plain,
meet(X_32,join(X_32,X_33)) = X_32,
inference(subst,[],[absorption:[bind(X,$fot(X_32)),bind(Y,$fot(X_33))]]) ).
cnf(refute_0_38,plain,
( meet(X_32,join(X_32,X_33)) != X_32
| meet(meet(meet(X_32,X_32),X_34),meet(X_34,meet(X_32,join(X_32,X_33)))) != meet(meet(X_32,X_32),X_34)
| meet(meet(meet(X_32,X_32),X_34),meet(X_34,X_32)) = meet(meet(X_32,X_32),X_34) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(meet(X_32,X_32),X_34),meet(X_34,meet(X_32,join(X_32,X_33)))),meet(meet(X_32,X_32),X_34)) ),[0,1,1],$fot(X_32)]]) ).
cnf(refute_0_39,plain,
( meet(meet(meet(X_32,X_32),X_34),meet(X_34,meet(X_32,join(X_32,X_33)))) != meet(meet(X_32,X_32),X_34)
| meet(meet(meet(X_32,X_32),X_34),meet(X_34,X_32)) = meet(meet(X_32,X_32),X_34) ),
inference(resolve,[$cnf( $equal(meet(X_32,join(X_32,X_33)),X_32) )],[refute_0_37,refute_0_38]) ).
cnf(refute_0_40,plain,
meet(meet(meet(X_32,X_32),X_34),meet(X_34,X_32)) = meet(meet(X_32,X_32),X_34),
inference(resolve,[$cnf( $equal(meet(meet(meet(X_32,X_32),X_34),meet(X_34,meet(X_32,join(X_32,X_33)))),meet(meet(X_32,X_32),X_34)) )],[refute_0_36,refute_0_39]) ).
cnf(refute_0_41,plain,
meet(meet(meet(X_36,X_36),X_36),meet(X_36,X_36)) = meet(meet(X_36,X_36),X_36),
inference(subst,[],[refute_0_40:[bind(X_32,$fot(X_36)),bind(X_34,$fot(X_36))]]) ).
cnf(refute_0_42,plain,
meet(meet(X_16,X_15),meet(X_15,join(X_15,X_16))) = meet(X_16,X_15),
inference(subst,[],[refute_0_29:[bind(X_2,$fot(X_15)),bind(X_3,$fot(X_15)),bind(X_4,$fot(X_16))]]) ).
cnf(refute_0_43,plain,
meet(X_15,join(X_15,X_16)) = X_15,
inference(subst,[],[absorption:[bind(X,$fot(X_15)),bind(Y,$fot(X_16))]]) ).
cnf(refute_0_44,plain,
( meet(X_15,join(X_15,X_16)) != X_15
| meet(meet(X_16,X_15),meet(X_15,join(X_15,X_16))) != meet(X_16,X_15)
| meet(meet(X_16,X_15),X_15) = meet(X_16,X_15) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_16,X_15),meet(X_15,join(X_15,X_16))),meet(X_16,X_15)) ),[0,1],$fot(X_15)]]) ).
cnf(refute_0_45,plain,
( meet(meet(X_16,X_15),meet(X_15,join(X_15,X_16))) != meet(X_16,X_15)
| meet(meet(X_16,X_15),X_15) = meet(X_16,X_15) ),
inference(resolve,[$cnf( $equal(meet(X_15,join(X_15,X_16)),X_15) )],[refute_0_43,refute_0_44]) ).
cnf(refute_0_46,plain,
meet(meet(X_16,X_15),X_15) = meet(X_16,X_15),
inference(resolve,[$cnf( $equal(meet(meet(X_16,X_15),meet(X_15,join(X_15,X_16))),meet(X_16,X_15)) )],[refute_0_42,refute_0_45]) ).
cnf(refute_0_47,plain,
meet(meet(X_36,X_36),X_36) = meet(X_36,X_36),
inference(subst,[],[refute_0_46:[bind(X_15,$fot(X_36)),bind(X_16,$fot(X_36))]]) ).
cnf(refute_0_48,plain,
( meet(meet(X_36,X_36),X_36) != meet(X_36,X_36)
| meet(meet(meet(X_36,X_36),X_36),meet(X_36,X_36)) != meet(meet(X_36,X_36),X_36)
| meet(meet(X_36,X_36),meet(X_36,X_36)) = meet(meet(X_36,X_36),X_36) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(meet(X_36,X_36),X_36),meet(X_36,X_36)),meet(meet(X_36,X_36),X_36)) ),[0,0],$fot(meet(X_36,X_36))]]) ).
cnf(refute_0_49,plain,
( meet(meet(meet(X_36,X_36),X_36),meet(X_36,X_36)) != meet(meet(X_36,X_36),X_36)
| meet(meet(X_36,X_36),meet(X_36,X_36)) = meet(meet(X_36,X_36),X_36) ),
inference(resolve,[$cnf( $equal(meet(meet(X_36,X_36),X_36),meet(X_36,X_36)) )],[refute_0_47,refute_0_48]) ).
cnf(refute_0_50,plain,
meet(meet(X_36,X_36),meet(X_36,X_36)) = meet(meet(X_36,X_36),X_36),
inference(resolve,[$cnf( $equal(meet(meet(meet(X_36,X_36),X_36),meet(X_36,X_36)),meet(meet(X_36,X_36),X_36)) )],[refute_0_41,refute_0_49]) ).
cnf(refute_0_51,plain,
( meet(meet(X_36,X_36),X_36) != meet(X_36,X_36)
| meet(meet(X_36,X_36),meet(X_36,X_36)) != meet(meet(X_36,X_36),X_36)
| meet(meet(X_36,X_36),meet(X_36,X_36)) = meet(X_36,X_36) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_36,X_36),meet(X_36,X_36)),meet(meet(X_36,X_36),X_36)) ),[1],$fot(meet(X_36,X_36))]]) ).
cnf(refute_0_52,plain,
( meet(meet(X_36,X_36),meet(X_36,X_36)) != meet(meet(X_36,X_36),X_36)
| meet(meet(X_36,X_36),meet(X_36,X_36)) = meet(X_36,X_36) ),
inference(resolve,[$cnf( $equal(meet(meet(X_36,X_36),X_36),meet(X_36,X_36)) )],[refute_0_47,refute_0_51]) ).
cnf(refute_0_53,plain,
meet(meet(X_36,X_36),meet(X_36,X_36)) = meet(X_36,X_36),
inference(resolve,[$cnf( $equal(meet(meet(X_36,X_36),meet(X_36,X_36)),meet(meet(X_36,X_36),X_36)) )],[refute_0_50,refute_0_52]) ).
cnf(refute_0_54,plain,
meet(meet(join(X_3,Y),join(X_3,Y)),meet(join(X_3,Y),join(X_3,Y))) = meet(join(X_3,Y),join(X_3,Y)),
inference(subst,[],[refute_0_53:[bind(X_36,$fot(join(X_3,Y)))]]) ).
cnf(refute_0_55,plain,
meet(join(X_3,Y),join(X_3,Y)) = join(meet(Y,join(X_3,Y)),X_3),
inference(subst,[],[refute_0_15:[bind(X_4,$fot(Y))]]) ).
cnf(refute_0_56,plain,
( meet(join(X_3,Y),join(X_3,Y)) != join(meet(Y,join(X_3,Y)),X_3)
| meet(meet(join(X_3,Y),join(X_3,Y)),meet(join(X_3,Y),join(X_3,Y))) != meet(join(X_3,Y),join(X_3,Y))
| meet(meet(join(X_3,Y),join(X_3,Y)),join(meet(Y,join(X_3,Y)),X_3)) = meet(join(X_3,Y),join(X_3,Y)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(join(X_3,Y),join(X_3,Y)),meet(join(X_3,Y),join(X_3,Y))),meet(join(X_3,Y),join(X_3,Y))) ),[0,1],$fot(join(meet(Y,join(X_3,Y)),X_3))]]) ).
cnf(refute_0_57,plain,
( meet(meet(join(X_3,Y),join(X_3,Y)),meet(join(X_3,Y),join(X_3,Y))) != meet(join(X_3,Y),join(X_3,Y))
| meet(meet(join(X_3,Y),join(X_3,Y)),join(meet(Y,join(X_3,Y)),X_3)) = meet(join(X_3,Y),join(X_3,Y)) ),
inference(resolve,[$cnf( $equal(meet(join(X_3,Y),join(X_3,Y)),join(meet(Y,join(X_3,Y)),X_3)) )],[refute_0_55,refute_0_56]) ).
cnf(refute_0_58,plain,
meet(meet(join(X_3,Y),join(X_3,Y)),join(meet(Y,join(X_3,Y)),X_3)) = meet(join(X_3,Y),join(X_3,Y)),
inference(resolve,[$cnf( $equal(meet(meet(join(X_3,Y),join(X_3,Y)),meet(join(X_3,Y),join(X_3,Y))),meet(join(X_3,Y),join(X_3,Y))) )],[refute_0_54,refute_0_57]) ).
cnf(refute_0_59,plain,
meet(X_3,meet(join(X_3,Y),join(X_3,Y))) = meet(X_3,meet(join(X_3,Y),join(X_3,Y))),
introduced(tautology,[refl,[$fot(meet(X_3,meet(join(X_3,Y),join(X_3,Y))))]]) ).
cnf(refute_0_60,plain,
( meet(X_3,meet(join(X_3,Y),join(X_3,Y))) != meet(X_3,meet(join(X_3,Y),join(X_3,Y)))
| meet(join(X_3,Y),join(X_3,Y)) != join(meet(Y,join(X_3,Y)),X_3)
| meet(X_3,meet(join(X_3,Y),join(X_3,Y))) = meet(X_3,join(meet(Y,join(X_3,Y)),X_3)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_3,meet(join(X_3,Y),join(X_3,Y))),meet(X_3,meet(join(X_3,Y),join(X_3,Y)))) ),[1,1],$fot(join(meet(Y,join(X_3,Y)),X_3))]]) ).
cnf(refute_0_61,plain,
( meet(join(X_3,Y),join(X_3,Y)) != join(meet(Y,join(X_3,Y)),X_3)
| meet(X_3,meet(join(X_3,Y),join(X_3,Y))) = meet(X_3,join(meet(Y,join(X_3,Y)),X_3)) ),
inference(resolve,[$cnf( $equal(meet(X_3,meet(join(X_3,Y),join(X_3,Y))),meet(X_3,meet(join(X_3,Y),join(X_3,Y)))) )],[refute_0_59,refute_0_60]) ).
cnf(refute_0_62,plain,
meet(X_3,meet(join(X_3,Y),join(X_3,Y))) = meet(X_3,join(meet(Y,join(X_3,Y)),X_3)),
inference(resolve,[$cnf( $equal(meet(join(X_3,Y),join(X_3,Y)),join(meet(Y,join(X_3,Y)),X_3)) )],[refute_0_55,refute_0_61]) ).
cnf(refute_0_63,plain,
join(meet(X_3,meet(join(X_3,Y),join(X_3,Y))),meet(Y,join(X_3,Y))) = join(meet(X_3,meet(join(X_3,Y),join(X_3,Y))),meet(Y,join(X_3,Y))),
introduced(tautology,[refl,[$fot(join(meet(X_3,meet(join(X_3,Y),join(X_3,Y))),meet(Y,join(X_3,Y))))]]) ).
cnf(refute_0_64,plain,
( join(meet(X_3,meet(join(X_3,Y),join(X_3,Y))),meet(Y,join(X_3,Y))) != join(meet(X_3,meet(join(X_3,Y),join(X_3,Y))),meet(Y,join(X_3,Y)))
| meet(X_3,meet(join(X_3,Y),join(X_3,Y))) != meet(X_3,join(meet(Y,join(X_3,Y)),X_3))
| join(meet(X_3,meet(join(X_3,Y),join(X_3,Y))),meet(Y,join(X_3,Y))) = join(meet(X_3,join(meet(Y,join(X_3,Y)),X_3)),meet(Y,join(X_3,Y))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_3,meet(join(X_3,Y),join(X_3,Y))),meet(Y,join(X_3,Y))),join(meet(X_3,meet(join(X_3,Y),join(X_3,Y))),meet(Y,join(X_3,Y)))) ),[1,0],$fot(meet(X_3,join(meet(Y,join(X_3,Y)),X_3)))]]) ).
cnf(refute_0_65,plain,
( meet(X_3,meet(join(X_3,Y),join(X_3,Y))) != meet(X_3,join(meet(Y,join(X_3,Y)),X_3))
| join(meet(X_3,meet(join(X_3,Y),join(X_3,Y))),meet(Y,join(X_3,Y))) = join(meet(X_3,join(meet(Y,join(X_3,Y)),X_3)),meet(Y,join(X_3,Y))) ),
inference(resolve,[$cnf( $equal(join(meet(X_3,meet(join(X_3,Y),join(X_3,Y))),meet(Y,join(X_3,Y))),join(meet(X_3,meet(join(X_3,Y),join(X_3,Y))),meet(Y,join(X_3,Y)))) )],[refute_0_63,refute_0_64]) ).
cnf(refute_0_66,plain,
join(meet(X_3,meet(join(X_3,Y),join(X_3,Y))),meet(Y,join(X_3,Y))) = join(meet(X_3,join(meet(Y,join(X_3,Y)),X_3)),meet(Y,join(X_3,Y))),
inference(resolve,[$cnf( $equal(meet(X_3,meet(join(X_3,Y),join(X_3,Y))),meet(X_3,join(meet(Y,join(X_3,Y)),X_3))) )],[refute_0_62,refute_0_65]) ).
cnf(refute_0_67,plain,
meet(join(meet(Z,X),meet(Y,X)),join(meet(Z,X),X_7)) = join(meet(X_7,join(meet(Z,X),meet(Y,X))),meet(Z,X)),
inference(subst,[],[refute_0_15:[bind(Y,$fot(meet(Y,X))),bind(X_3,$fot(meet(Z,X))),bind(X_4,$fot(X_7))]]) ).
cnf(refute_0_68,plain,
( join(meet(Z,X),meet(Y,X)) != meet(X,join(Y,Z))
| meet(join(meet(Z,X),meet(Y,X)),join(meet(Z,X),X_7)) != join(meet(X_7,join(meet(Z,X),meet(Y,X))),meet(Z,X))
| meet(meet(X,join(Y,Z)),join(meet(Z,X),X_7)) = join(meet(X_7,join(meet(Z,X),meet(Y,X))),meet(Z,X)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(meet(Z,X),meet(Y,X)),join(meet(Z,X),X_7)),join(meet(X_7,join(meet(Z,X),meet(Y,X))),meet(Z,X))) ),[0,0],$fot(meet(X,join(Y,Z)))]]) ).
cnf(refute_0_69,plain,
( meet(join(meet(Z,X),meet(Y,X)),join(meet(Z,X),X_7)) != join(meet(X_7,join(meet(Z,X),meet(Y,X))),meet(Z,X))
| meet(meet(X,join(Y,Z)),join(meet(Z,X),X_7)) = join(meet(X_7,join(meet(Z,X),meet(Y,X))),meet(Z,X)) ),
inference(resolve,[$cnf( $equal(join(meet(Z,X),meet(Y,X)),meet(X,join(Y,Z))) )],[refute_0_32,refute_0_68]) ).
cnf(refute_0_70,plain,
meet(meet(X,join(Y,Z)),join(meet(Z,X),X_7)) = join(meet(X_7,join(meet(Z,X),meet(Y,X))),meet(Z,X)),
inference(resolve,[$cnf( $equal(meet(join(meet(Z,X),meet(Y,X)),join(meet(Z,X),X_7)),join(meet(X_7,join(meet(Z,X),meet(Y,X))),meet(Z,X))) )],[refute_0_67,refute_0_69]) ).
cnf(refute_0_71,plain,
meet(X_7,join(meet(Z,X),meet(Y,X))) = meet(X_7,join(meet(Z,X),meet(Y,X))),
introduced(tautology,[refl,[$fot(meet(X_7,join(meet(Z,X),meet(Y,X))))]]) ).
cnf(refute_0_72,plain,
( join(meet(Z,X),meet(Y,X)) != meet(X,join(Y,Z))
| meet(X_7,join(meet(Z,X),meet(Y,X))) != meet(X_7,join(meet(Z,X),meet(Y,X)))
| meet(X_7,join(meet(Z,X),meet(Y,X))) = meet(X_7,meet(X,join(Y,Z))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_7,join(meet(Z,X),meet(Y,X))),meet(X_7,join(meet(Z,X),meet(Y,X)))) ),[1,1],$fot(meet(X,join(Y,Z)))]]) ).
cnf(refute_0_73,plain,
( join(meet(Z,X),meet(Y,X)) != meet(X,join(Y,Z))
| meet(X_7,join(meet(Z,X),meet(Y,X))) = meet(X_7,meet(X,join(Y,Z))) ),
inference(resolve,[$cnf( $equal(meet(X_7,join(meet(Z,X),meet(Y,X))),meet(X_7,join(meet(Z,X),meet(Y,X)))) )],[refute_0_71,refute_0_72]) ).
cnf(refute_0_74,plain,
meet(X_7,join(meet(Z,X),meet(Y,X))) = meet(X_7,meet(X,join(Y,Z))),
inference(resolve,[$cnf( $equal(join(meet(Z,X),meet(Y,X)),meet(X,join(Y,Z))) )],[refute_0_32,refute_0_73]) ).
cnf(refute_0_75,plain,
join(meet(X_7,join(meet(Z,X),meet(Y,X))),meet(Z,X)) = join(meet(X_7,join(meet(Z,X),meet(Y,X))),meet(Z,X)),
introduced(tautology,[refl,[$fot(join(meet(X_7,join(meet(Z,X),meet(Y,X))),meet(Z,X)))]]) ).
cnf(refute_0_76,plain,
( join(meet(X_7,join(meet(Z,X),meet(Y,X))),meet(Z,X)) != join(meet(X_7,join(meet(Z,X),meet(Y,X))),meet(Z,X))
| meet(X_7,join(meet(Z,X),meet(Y,X))) != meet(X_7,meet(X,join(Y,Z)))
| join(meet(X_7,join(meet(Z,X),meet(Y,X))),meet(Z,X)) = join(meet(X_7,meet(X,join(Y,Z))),meet(Z,X)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_7,join(meet(Z,X),meet(Y,X))),meet(Z,X)),join(meet(X_7,join(meet(Z,X),meet(Y,X))),meet(Z,X))) ),[1,0],$fot(meet(X_7,meet(X,join(Y,Z))))]]) ).
cnf(refute_0_77,plain,
( meet(X_7,join(meet(Z,X),meet(Y,X))) != meet(X_7,meet(X,join(Y,Z)))
| join(meet(X_7,join(meet(Z,X),meet(Y,X))),meet(Z,X)) = join(meet(X_7,meet(X,join(Y,Z))),meet(Z,X)) ),
inference(resolve,[$cnf( $equal(join(meet(X_7,join(meet(Z,X),meet(Y,X))),meet(Z,X)),join(meet(X_7,join(meet(Z,X),meet(Y,X))),meet(Z,X))) )],[refute_0_75,refute_0_76]) ).
cnf(refute_0_78,plain,
join(meet(X_7,join(meet(Z,X),meet(Y,X))),meet(Z,X)) = join(meet(X_7,meet(X,join(Y,Z))),meet(Z,X)),
inference(resolve,[$cnf( $equal(meet(X_7,join(meet(Z,X),meet(Y,X))),meet(X_7,meet(X,join(Y,Z)))) )],[refute_0_74,refute_0_77]) ).
cnf(refute_0_79,plain,
( join(meet(X_7,join(meet(Z,X),meet(Y,X))),meet(Z,X)) != join(meet(X_7,meet(X,join(Y,Z))),meet(Z,X))
| meet(meet(X,join(Y,Z)),join(meet(Z,X),X_7)) != join(meet(X_7,join(meet(Z,X),meet(Y,X))),meet(Z,X))
| meet(meet(X,join(Y,Z)),join(meet(Z,X),X_7)) = join(meet(X_7,meet(X,join(Y,Z))),meet(Z,X)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(X,join(Y,Z)),join(meet(Z,X),X_7)),join(meet(X_7,join(meet(Z,X),meet(Y,X))),meet(Z,X))) ),[1],$fot(join(meet(X_7,meet(X,join(Y,Z))),meet(Z,X)))]]) ).
cnf(refute_0_80,plain,
( meet(meet(X,join(Y,Z)),join(meet(Z,X),X_7)) != join(meet(X_7,join(meet(Z,X),meet(Y,X))),meet(Z,X))
| meet(meet(X,join(Y,Z)),join(meet(Z,X),X_7)) = join(meet(X_7,meet(X,join(Y,Z))),meet(Z,X)) ),
inference(resolve,[$cnf( $equal(join(meet(X_7,join(meet(Z,X),meet(Y,X))),meet(Z,X)),join(meet(X_7,meet(X,join(Y,Z))),meet(Z,X))) )],[refute_0_78,refute_0_79]) ).
cnf(refute_0_81,plain,
meet(meet(X,join(Y,Z)),join(meet(Z,X),X_7)) = join(meet(X_7,meet(X,join(Y,Z))),meet(Z,X)),
inference(resolve,[$cnf( $equal(meet(meet(X,join(Y,Z)),join(meet(Z,X),X_7)),join(meet(X_7,join(meet(Z,X),meet(Y,X))),meet(Z,X))) )],[refute_0_70,refute_0_80]) ).
cnf(refute_0_82,plain,
meet(meet(join(X_3,Y),join(X_3,Y)),join(meet(Y,join(X_3,Y)),X_3)) = join(meet(X_3,meet(join(X_3,Y),join(X_3,Y))),meet(Y,join(X_3,Y))),
inference(subst,[],[refute_0_81:[bind(X,$fot(join(X_3,Y))),bind(Y,$fot(X_3)),bind(Z,$fot(Y)),bind(X_7,$fot(X_3))]]) ).
cnf(refute_0_83,plain,
( Y0 != X0
| Y0 != Z0
| X0 = Z0 ),
introduced(tautology,[equality,[$cnf( $equal(Y0,Z0) ),[0],$fot(X0)]]) ).
cnf(refute_0_84,plain,
( X0 != Y0
| Y0 != Z0
| X0 = Z0 ),
inference(resolve,[$cnf( $equal(Y0,X0) )],[refute_0_24,refute_0_83]) ).
cnf(refute_0_85,plain,
( join(meet(X_3,meet(join(X_3,Y),join(X_3,Y))),meet(Y,join(X_3,Y))) != join(meet(X_3,join(meet(Y,join(X_3,Y)),X_3)),meet(Y,join(X_3,Y)))
| meet(meet(join(X_3,Y),join(X_3,Y)),join(meet(Y,join(X_3,Y)),X_3)) != join(meet(X_3,meet(join(X_3,Y),join(X_3,Y))),meet(Y,join(X_3,Y)))
| meet(meet(join(X_3,Y),join(X_3,Y)),join(meet(Y,join(X_3,Y)),X_3)) = join(meet(X_3,join(meet(Y,join(X_3,Y)),X_3)),meet(Y,join(X_3,Y))) ),
inference(subst,[],[refute_0_84:[bind(X0,$fot(meet(meet(join(X_3,Y),join(X_3,Y)),join(meet(Y,join(X_3,Y)),X_3)))),bind(Y0,$fot(join(meet(X_3,meet(join(X_3,Y),join(X_3,Y))),meet(Y,join(X_3,Y))))),bind(Z0,$fot(join(meet(X_3,join(meet(Y,join(X_3,Y)),X_3)),meet(Y,join(X_3,Y)))))]]) ).
cnf(refute_0_86,plain,
( join(meet(X_3,meet(join(X_3,Y),join(X_3,Y))),meet(Y,join(X_3,Y))) != join(meet(X_3,join(meet(Y,join(X_3,Y)),X_3)),meet(Y,join(X_3,Y)))
| meet(meet(join(X_3,Y),join(X_3,Y)),join(meet(Y,join(X_3,Y)),X_3)) = join(meet(X_3,join(meet(Y,join(X_3,Y)),X_3)),meet(Y,join(X_3,Y))) ),
inference(resolve,[$cnf( $equal(meet(meet(join(X_3,Y),join(X_3,Y)),join(meet(Y,join(X_3,Y)),X_3)),join(meet(X_3,meet(join(X_3,Y),join(X_3,Y))),meet(Y,join(X_3,Y)))) )],[refute_0_82,refute_0_85]) ).
cnf(refute_0_87,plain,
meet(meet(join(X_3,Y),join(X_3,Y)),join(meet(Y,join(X_3,Y)),X_3)) = join(meet(X_3,join(meet(Y,join(X_3,Y)),X_3)),meet(Y,join(X_3,Y))),
inference(resolve,[$cnf( $equal(join(meet(X_3,meet(join(X_3,Y),join(X_3,Y))),meet(Y,join(X_3,Y))),join(meet(X_3,join(meet(Y,join(X_3,Y)),X_3)),meet(Y,join(X_3,Y)))) )],[refute_0_66,refute_0_86]) ).
cnf(refute_0_88,plain,
( meet(meet(join(X_3,Y),join(X_3,Y)),join(meet(Y,join(X_3,Y)),X_3)) != join(meet(X_3,join(meet(Y,join(X_3,Y)),X_3)),meet(Y,join(X_3,Y)))
| meet(meet(join(X_3,Y),join(X_3,Y)),join(meet(Y,join(X_3,Y)),X_3)) != meet(join(X_3,Y),join(X_3,Y))
| join(meet(X_3,join(meet(Y,join(X_3,Y)),X_3)),meet(Y,join(X_3,Y))) = meet(join(X_3,Y),join(X_3,Y)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(join(X_3,Y),join(X_3,Y)),join(meet(Y,join(X_3,Y)),X_3)),meet(join(X_3,Y),join(X_3,Y))) ),[0],$fot(join(meet(X_3,join(meet(Y,join(X_3,Y)),X_3)),meet(Y,join(X_3,Y))))]]) ).
cnf(refute_0_89,plain,
( meet(meet(join(X_3,Y),join(X_3,Y)),join(meet(Y,join(X_3,Y)),X_3)) != meet(join(X_3,Y),join(X_3,Y))
| join(meet(X_3,join(meet(Y,join(X_3,Y)),X_3)),meet(Y,join(X_3,Y))) = meet(join(X_3,Y),join(X_3,Y)) ),
inference(resolve,[$cnf( $equal(meet(meet(join(X_3,Y),join(X_3,Y)),join(meet(Y,join(X_3,Y)),X_3)),join(meet(X_3,join(meet(Y,join(X_3,Y)),X_3)),meet(Y,join(X_3,Y)))) )],[refute_0_87,refute_0_88]) ).
cnf(refute_0_90,plain,
( join(meet(X_3,join(meet(Y,join(X_3,Y)),X_3)),meet(Y,join(X_3,Y))) != meet(join(X_3,Y),join(X_3,Y))
| meet(join(X_3,Y),join(X_3,Y)) != join(meet(Y,join(X_3,Y)),X_3)
| join(meet(X_3,join(meet(Y,join(X_3,Y)),X_3)),meet(Y,join(X_3,Y))) = join(meet(Y,join(X_3,Y)),X_3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(meet(X_3,join(meet(Y,join(X_3,Y)),X_3)),meet(Y,join(X_3,Y))),join(meet(Y,join(X_3,Y)),X_3)) ),[0],$fot(meet(join(X_3,Y),join(X_3,Y)))]]) ).
cnf(refute_0_91,plain,
( join(meet(X_3,join(meet(Y,join(X_3,Y)),X_3)),meet(Y,join(X_3,Y))) != meet(join(X_3,Y),join(X_3,Y))
| join(meet(X_3,join(meet(Y,join(X_3,Y)),X_3)),meet(Y,join(X_3,Y))) = join(meet(Y,join(X_3,Y)),X_3) ),
inference(resolve,[$cnf( $equal(meet(join(X_3,Y),join(X_3,Y)),join(meet(Y,join(X_3,Y)),X_3)) )],[refute_0_55,refute_0_90]) ).
cnf(refute_0_92,plain,
( meet(meet(join(X_3,Y),join(X_3,Y)),join(meet(Y,join(X_3,Y)),X_3)) != meet(join(X_3,Y),join(X_3,Y))
| join(meet(X_3,join(meet(Y,join(X_3,Y)),X_3)),meet(Y,join(X_3,Y))) = join(meet(Y,join(X_3,Y)),X_3) ),
inference(resolve,[$cnf( $equal(join(meet(X_3,join(meet(Y,join(X_3,Y)),X_3)),meet(Y,join(X_3,Y))),meet(join(X_3,Y),join(X_3,Y))) )],[refute_0_89,refute_0_91]) ).
cnf(refute_0_93,plain,
join(meet(X_3,join(meet(Y,join(X_3,Y)),X_3)),meet(Y,join(X_3,Y))) = join(meet(Y,join(X_3,Y)),X_3),
inference(resolve,[$cnf( $equal(meet(meet(join(X_3,Y),join(X_3,Y)),join(meet(Y,join(X_3,Y)),X_3)),meet(join(X_3,Y),join(X_3,Y))) )],[refute_0_58,refute_0_92]) ).
cnf(refute_0_94,plain,
meet(join(X_29,X_29),join(Y,join(join(X_29,X_29),X_29))) = join(meet(join(join(X_29,X_29),X_29),join(X_29,X_29)),meet(Y,join(X_29,X_29))),
inference(subst,[],[distribution:[bind(X,$fot(join(X_29,X_29))),bind(Z,$fot(join(join(X_29,X_29),X_29)))]]) ).
cnf(refute_0_95,plain,
meet(meet(join(X_15,X_15),X_14),meet(X_14,join(X_15,join(X_15,X_15)))) = meet(join(X_15,X_15),X_14),
inference(subst,[],[refute_0_29:[bind(X_2,$fot(X_14)),bind(X_3,$fot(X_15)),bind(X_4,$fot(join(X_15,X_15)))]]) ).
cnf(refute_0_96,plain,
meet(join(Y,X_8),join(join(Y,X_8),Y)) = join(Y,X_8),
inference(subst,[],[absorption:[bind(X,$fot(join(Y,X_8)))]]) ).
cnf(refute_0_97,plain,
meet(join(Y,X_8),join(join(Y,X_8),Y)) = join(Y,meet(join(Y,X_8),join(Y,X_8))),
inference(subst,[],[refute_0_5:[bind(Y,$fot(X_8)),bind(X_3,$fot(join(Y,X_8))),bind(X_4,$fot(Y))]]) ).
cnf(refute_0_98,plain,
( meet(join(Y,X_8),join(join(Y,X_8),Y)) != join(Y,X_8)
| meet(join(Y,X_8),join(join(Y,X_8),Y)) != join(Y,meet(join(Y,X_8),join(Y,X_8)))
| join(Y,meet(join(Y,X_8),join(Y,X_8))) = join(Y,X_8) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(Y,X_8),join(join(Y,X_8),Y)),join(Y,X_8)) ),[0],$fot(join(Y,meet(join(Y,X_8),join(Y,X_8))))]]) ).
cnf(refute_0_99,plain,
( meet(join(Y,X_8),join(join(Y,X_8),Y)) != join(Y,X_8)
| join(Y,meet(join(Y,X_8),join(Y,X_8))) = join(Y,X_8) ),
inference(resolve,[$cnf( $equal(meet(join(Y,X_8),join(join(Y,X_8),Y)),join(Y,meet(join(Y,X_8),join(Y,X_8)))) )],[refute_0_97,refute_0_98]) ).
cnf(refute_0_100,plain,
join(Y,meet(join(Y,X_8),join(Y,X_8))) = join(Y,X_8),
inference(resolve,[$cnf( $equal(meet(join(Y,X_8),join(join(Y,X_8),Y)),join(Y,X_8)) )],[refute_0_96,refute_0_99]) ).
cnf(refute_0_101,plain,
meet(join(Y,X_8),join(Y,X_8)) = join(meet(X_8,join(Y,X_8)),Y),
inference(subst,[],[refute_0_15:[bind(Y,$fot(X_8)),bind(X_3,$fot(Y)),bind(X_4,$fot(X_8))]]) ).
cnf(refute_0_102,plain,
join(Y,meet(join(Y,X_8),join(Y,X_8))) = join(Y,meet(join(Y,X_8),join(Y,X_8))),
introduced(tautology,[refl,[$fot(join(Y,meet(join(Y,X_8),join(Y,X_8))))]]) ).
cnf(refute_0_103,plain,
( join(Y,meet(join(Y,X_8),join(Y,X_8))) != join(Y,meet(join(Y,X_8),join(Y,X_8)))
| meet(join(Y,X_8),join(Y,X_8)) != join(meet(X_8,join(Y,X_8)),Y)
| join(Y,meet(join(Y,X_8),join(Y,X_8))) = join(Y,join(meet(X_8,join(Y,X_8)),Y)) ),
introduced(tautology,[equality,[$cnf( $equal(join(Y,meet(join(Y,X_8),join(Y,X_8))),join(Y,meet(join(Y,X_8),join(Y,X_8)))) ),[1,1],$fot(join(meet(X_8,join(Y,X_8)),Y))]]) ).
cnf(refute_0_104,plain,
( meet(join(Y,X_8),join(Y,X_8)) != join(meet(X_8,join(Y,X_8)),Y)
| join(Y,meet(join(Y,X_8),join(Y,X_8))) = join(Y,join(meet(X_8,join(Y,X_8)),Y)) ),
inference(resolve,[$cnf( $equal(join(Y,meet(join(Y,X_8),join(Y,X_8))),join(Y,meet(join(Y,X_8),join(Y,X_8)))) )],[refute_0_102,refute_0_103]) ).
cnf(refute_0_105,plain,
join(Y,meet(join(Y,X_8),join(Y,X_8))) = join(Y,join(meet(X_8,join(Y,X_8)),Y)),
inference(resolve,[$cnf( $equal(meet(join(Y,X_8),join(Y,X_8)),join(meet(X_8,join(Y,X_8)),Y)) )],[refute_0_101,refute_0_104]) ).
cnf(refute_0_106,plain,
( join(Y,meet(join(Y,X_8),join(Y,X_8))) != join(Y,X_8)
| join(Y,meet(join(Y,X_8),join(Y,X_8))) != join(Y,join(meet(X_8,join(Y,X_8)),Y))
| join(Y,join(meet(X_8,join(Y,X_8)),Y)) = join(Y,X_8) ),
introduced(tautology,[equality,[$cnf( $equal(join(Y,meet(join(Y,X_8),join(Y,X_8))),join(Y,X_8)) ),[0],$fot(join(Y,join(meet(X_8,join(Y,X_8)),Y)))]]) ).
cnf(refute_0_107,plain,
( join(Y,meet(join(Y,X_8),join(Y,X_8))) != join(Y,X_8)
| join(Y,join(meet(X_8,join(Y,X_8)),Y)) = join(Y,X_8) ),
inference(resolve,[$cnf( $equal(join(Y,meet(join(Y,X_8),join(Y,X_8))),join(Y,join(meet(X_8,join(Y,X_8)),Y))) )],[refute_0_105,refute_0_106]) ).
cnf(refute_0_108,plain,
join(Y,join(meet(X_8,join(Y,X_8)),Y)) = join(Y,X_8),
inference(resolve,[$cnf( $equal(join(Y,meet(join(Y,X_8),join(Y,X_8))),join(Y,X_8)) )],[refute_0_100,refute_0_107]) ).
cnf(refute_0_109,plain,
join(X_11,join(meet(X_11,join(X_11,X_11)),X_11)) = join(X_11,X_11),
inference(subst,[],[refute_0_108:[bind(Y,$fot(X_11)),bind(X_8,$fot(X_11))]]) ).
cnf(refute_0_110,plain,
meet(X_11,join(X_11,X_11)) = X_11,
inference(subst,[],[absorption:[bind(X,$fot(X_11)),bind(Y,$fot(X_11))]]) ).
cnf(refute_0_111,plain,
( join(X_11,join(meet(X_11,join(X_11,X_11)),X_11)) != join(X_11,X_11)
| meet(X_11,join(X_11,X_11)) != X_11
| join(X_11,join(X_11,X_11)) = join(X_11,X_11) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_11,join(meet(X_11,join(X_11,X_11)),X_11)),join(X_11,X_11)) ),[0,1,0],$fot(X_11)]]) ).
cnf(refute_0_112,plain,
( join(X_11,join(meet(X_11,join(X_11,X_11)),X_11)) != join(X_11,X_11)
| join(X_11,join(X_11,X_11)) = join(X_11,X_11) ),
inference(resolve,[$cnf( $equal(meet(X_11,join(X_11,X_11)),X_11) )],[refute_0_110,refute_0_111]) ).
cnf(refute_0_113,plain,
join(X_11,join(X_11,X_11)) = join(X_11,X_11),
inference(resolve,[$cnf( $equal(join(X_11,join(meet(X_11,join(X_11,X_11)),X_11)),join(X_11,X_11)) )],[refute_0_109,refute_0_112]) ).
cnf(refute_0_114,plain,
join(X_15,join(X_15,X_15)) = join(X_15,X_15),
inference(subst,[],[refute_0_113:[bind(X_11,$fot(X_15))]]) ).
cnf(refute_0_115,plain,
( join(X_15,join(X_15,X_15)) != join(X_15,X_15)
| meet(meet(join(X_15,X_15),X_14),meet(X_14,join(X_15,join(X_15,X_15)))) != meet(join(X_15,X_15),X_14)
| meet(meet(join(X_15,X_15),X_14),meet(X_14,join(X_15,X_15))) = meet(join(X_15,X_15),X_14) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(join(X_15,X_15),X_14),meet(X_14,join(X_15,join(X_15,X_15)))),meet(join(X_15,X_15),X_14)) ),[0,1,1],$fot(join(X_15,X_15))]]) ).
cnf(refute_0_116,plain,
( meet(meet(join(X_15,X_15),X_14),meet(X_14,join(X_15,join(X_15,X_15)))) != meet(join(X_15,X_15),X_14)
| meet(meet(join(X_15,X_15),X_14),meet(X_14,join(X_15,X_15))) = meet(join(X_15,X_15),X_14) ),
inference(resolve,[$cnf( $equal(join(X_15,join(X_15,X_15)),join(X_15,X_15)) )],[refute_0_114,refute_0_115]) ).
cnf(refute_0_117,plain,
meet(meet(join(X_15,X_15),X_14),meet(X_14,join(X_15,X_15))) = meet(join(X_15,X_15),X_14),
inference(resolve,[$cnf( $equal(meet(meet(join(X_15,X_15),X_14),meet(X_14,join(X_15,join(X_15,X_15)))),meet(join(X_15,X_15),X_14)) )],[refute_0_95,refute_0_116]) ).
cnf(refute_0_118,plain,
meet(meet(join(X_21,X_21),join(X_21,Y)),meet(join(X_21,Y),join(X_21,X_21))) = meet(join(X_21,X_21),join(X_21,Y)),
inference(subst,[],[refute_0_117:[bind(X_14,$fot(join(X_21,Y))),bind(X_15,$fot(X_21))]]) ).
cnf(refute_0_119,plain,
meet(join(X_21,Y),join(X_21,X_21)) = join(X_21,meet(X_21,join(X_21,Y))),
inference(subst,[],[refute_0_5:[bind(X_3,$fot(X_21)),bind(X_4,$fot(X_21))]]) ).
cnf(refute_0_120,plain,
( meet(join(X_21,Y),join(X_21,X_21)) != join(X_21,meet(X_21,join(X_21,Y)))
| meet(meet(join(X_21,X_21),join(X_21,Y)),meet(join(X_21,Y),join(X_21,X_21))) != meet(join(X_21,X_21),join(X_21,Y))
| meet(meet(join(X_21,X_21),join(X_21,Y)),join(X_21,meet(X_21,join(X_21,Y)))) = meet(join(X_21,X_21),join(X_21,Y)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(join(X_21,X_21),join(X_21,Y)),meet(join(X_21,Y),join(X_21,X_21))),meet(join(X_21,X_21),join(X_21,Y))) ),[0,1],$fot(join(X_21,meet(X_21,join(X_21,Y))))]]) ).
cnf(refute_0_121,plain,
( meet(meet(join(X_21,X_21),join(X_21,Y)),meet(join(X_21,Y),join(X_21,X_21))) != meet(join(X_21,X_21),join(X_21,Y))
| meet(meet(join(X_21,X_21),join(X_21,Y)),join(X_21,meet(X_21,join(X_21,Y)))) = meet(join(X_21,X_21),join(X_21,Y)) ),
inference(resolve,[$cnf( $equal(meet(join(X_21,Y),join(X_21,X_21)),join(X_21,meet(X_21,join(X_21,Y)))) )],[refute_0_119,refute_0_120]) ).
cnf(refute_0_122,plain,
meet(meet(join(X_21,X_21),join(X_21,Y)),join(X_21,meet(X_21,join(X_21,Y)))) = meet(join(X_21,X_21),join(X_21,Y)),
inference(resolve,[$cnf( $equal(meet(meet(join(X_21,X_21),join(X_21,Y)),meet(join(X_21,Y),join(X_21,X_21))),meet(join(X_21,X_21),join(X_21,Y))) )],[refute_0_118,refute_0_121]) ).
cnf(refute_0_123,plain,
meet(X_21,join(X_21,Y)) = X_21,
inference(subst,[],[absorption:[bind(X,$fot(X_21))]]) ).
cnf(refute_0_124,plain,
join(X_21,meet(X_21,join(X_21,Y))) = join(X_21,meet(X_21,join(X_21,Y))),
introduced(tautology,[refl,[$fot(join(X_21,meet(X_21,join(X_21,Y))))]]) ).
cnf(refute_0_125,plain,
( join(X_21,meet(X_21,join(X_21,Y))) != join(X_21,meet(X_21,join(X_21,Y)))
| meet(X_21,join(X_21,Y)) != X_21
| join(X_21,meet(X_21,join(X_21,Y))) = join(X_21,X_21) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_21,meet(X_21,join(X_21,Y))),join(X_21,meet(X_21,join(X_21,Y)))) ),[1,1],$fot(X_21)]]) ).
cnf(refute_0_126,plain,
( meet(X_21,join(X_21,Y)) != X_21
| join(X_21,meet(X_21,join(X_21,Y))) = join(X_21,X_21) ),
inference(resolve,[$cnf( $equal(join(X_21,meet(X_21,join(X_21,Y))),join(X_21,meet(X_21,join(X_21,Y)))) )],[refute_0_124,refute_0_125]) ).
cnf(refute_0_127,plain,
join(X_21,meet(X_21,join(X_21,Y))) = join(X_21,X_21),
inference(resolve,[$cnf( $equal(meet(X_21,join(X_21,Y)),X_21) )],[refute_0_123,refute_0_126]) ).
cnf(refute_0_128,plain,
meet(join(meet(Y,join(X_21,X_21)),X_21),join(X_21,meet(X_21,join(X_21,Y)))) = meet(join(meet(Y,join(X_21,X_21)),X_21),join(X_21,meet(X_21,join(X_21,Y)))),
introduced(tautology,[refl,[$fot(meet(join(meet(Y,join(X_21,X_21)),X_21),join(X_21,meet(X_21,join(X_21,Y)))))]]) ).
cnf(refute_0_129,plain,
( join(X_21,meet(X_21,join(X_21,Y))) != join(X_21,X_21)
| meet(join(meet(Y,join(X_21,X_21)),X_21),join(X_21,meet(X_21,join(X_21,Y)))) != meet(join(meet(Y,join(X_21,X_21)),X_21),join(X_21,meet(X_21,join(X_21,Y))))
| meet(join(meet(Y,join(X_21,X_21)),X_21),join(X_21,meet(X_21,join(X_21,Y)))) = meet(join(meet(Y,join(X_21,X_21)),X_21),join(X_21,X_21)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(meet(Y,join(X_21,X_21)),X_21),join(X_21,meet(X_21,join(X_21,Y)))),meet(join(meet(Y,join(X_21,X_21)),X_21),join(X_21,meet(X_21,join(X_21,Y))))) ),[1,1],$fot(join(X_21,X_21))]]) ).
cnf(refute_0_130,plain,
( join(X_21,meet(X_21,join(X_21,Y))) != join(X_21,X_21)
| meet(join(meet(Y,join(X_21,X_21)),X_21),join(X_21,meet(X_21,join(X_21,Y)))) = meet(join(meet(Y,join(X_21,X_21)),X_21),join(X_21,X_21)) ),
inference(resolve,[$cnf( $equal(meet(join(meet(Y,join(X_21,X_21)),X_21),join(X_21,meet(X_21,join(X_21,Y)))),meet(join(meet(Y,join(X_21,X_21)),X_21),join(X_21,meet(X_21,join(X_21,Y))))) )],[refute_0_128,refute_0_129]) ).
cnf(refute_0_131,plain,
meet(join(meet(Y,join(X_21,X_21)),X_21),join(X_21,meet(X_21,join(X_21,Y)))) = meet(join(meet(Y,join(X_21,X_21)),X_21),join(X_21,X_21)),
inference(resolve,[$cnf( $equal(join(X_21,meet(X_21,join(X_21,Y))),join(X_21,X_21)) )],[refute_0_127,refute_0_130]) ).
cnf(refute_0_132,plain,
meet(join(X_21,X_21),join(X_21,Y)) = join(meet(Y,join(X_21,X_21)),X_21),
inference(subst,[],[refute_0_15:[bind(Y,$fot(X_21)),bind(X_3,$fot(X_21)),bind(X_4,$fot(Y))]]) ).
cnf(refute_0_133,plain,
meet(meet(join(X_21,X_21),join(X_21,Y)),join(X_21,meet(X_21,join(X_21,Y)))) = meet(meet(join(X_21,X_21),join(X_21,Y)),join(X_21,meet(X_21,join(X_21,Y)))),
introduced(tautology,[refl,[$fot(meet(meet(join(X_21,X_21),join(X_21,Y)),join(X_21,meet(X_21,join(X_21,Y)))))]]) ).
cnf(refute_0_134,plain,
( meet(join(X_21,X_21),join(X_21,Y)) != join(meet(Y,join(X_21,X_21)),X_21)
| meet(meet(join(X_21,X_21),join(X_21,Y)),join(X_21,meet(X_21,join(X_21,Y)))) != meet(meet(join(X_21,X_21),join(X_21,Y)),join(X_21,meet(X_21,join(X_21,Y))))
| meet(meet(join(X_21,X_21),join(X_21,Y)),join(X_21,meet(X_21,join(X_21,Y)))) = meet(join(meet(Y,join(X_21,X_21)),X_21),join(X_21,meet(X_21,join(X_21,Y)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(join(X_21,X_21),join(X_21,Y)),join(X_21,meet(X_21,join(X_21,Y)))),meet(meet(join(X_21,X_21),join(X_21,Y)),join(X_21,meet(X_21,join(X_21,Y))))) ),[1,0],$fot(join(meet(Y,join(X_21,X_21)),X_21))]]) ).
cnf(refute_0_135,plain,
( meet(join(X_21,X_21),join(X_21,Y)) != join(meet(Y,join(X_21,X_21)),X_21)
| meet(meet(join(X_21,X_21),join(X_21,Y)),join(X_21,meet(X_21,join(X_21,Y)))) = meet(join(meet(Y,join(X_21,X_21)),X_21),join(X_21,meet(X_21,join(X_21,Y)))) ),
inference(resolve,[$cnf( $equal(meet(meet(join(X_21,X_21),join(X_21,Y)),join(X_21,meet(X_21,join(X_21,Y)))),meet(meet(join(X_21,X_21),join(X_21,Y)),join(X_21,meet(X_21,join(X_21,Y))))) )],[refute_0_133,refute_0_134]) ).
cnf(refute_0_136,plain,
meet(meet(join(X_21,X_21),join(X_21,Y)),join(X_21,meet(X_21,join(X_21,Y)))) = meet(join(meet(Y,join(X_21,X_21)),X_21),join(X_21,meet(X_21,join(X_21,Y)))),
inference(resolve,[$cnf( $equal(meet(join(X_21,X_21),join(X_21,Y)),join(meet(Y,join(X_21,X_21)),X_21)) )],[refute_0_132,refute_0_135]) ).
cnf(refute_0_137,plain,
( meet(join(meet(Y,join(X_21,X_21)),X_21),join(X_21,meet(X_21,join(X_21,Y)))) != meet(join(meet(Y,join(X_21,X_21)),X_21),join(X_21,X_21))
| meet(meet(join(X_21,X_21),join(X_21,Y)),join(X_21,meet(X_21,join(X_21,Y)))) != meet(join(meet(Y,join(X_21,X_21)),X_21),join(X_21,meet(X_21,join(X_21,Y))))
| meet(meet(join(X_21,X_21),join(X_21,Y)),join(X_21,meet(X_21,join(X_21,Y)))) = meet(join(meet(Y,join(X_21,X_21)),X_21),join(X_21,X_21)) ),
inference(subst,[],[refute_0_84:[bind(X0,$fot(meet(meet(join(X_21,X_21),join(X_21,Y)),join(X_21,meet(X_21,join(X_21,Y)))))),bind(Y0,$fot(meet(join(meet(Y,join(X_21,X_21)),X_21),join(X_21,meet(X_21,join(X_21,Y)))))),bind(Z0,$fot(meet(join(meet(Y,join(X_21,X_21)),X_21),join(X_21,X_21))))]]) ).
cnf(refute_0_138,plain,
( meet(join(meet(Y,join(X_21,X_21)),X_21),join(X_21,meet(X_21,join(X_21,Y)))) != meet(join(meet(Y,join(X_21,X_21)),X_21),join(X_21,X_21))
| meet(meet(join(X_21,X_21),join(X_21,Y)),join(X_21,meet(X_21,join(X_21,Y)))) = meet(join(meet(Y,join(X_21,X_21)),X_21),join(X_21,X_21)) ),
inference(resolve,[$cnf( $equal(meet(meet(join(X_21,X_21),join(X_21,Y)),join(X_21,meet(X_21,join(X_21,Y)))),meet(join(meet(Y,join(X_21,X_21)),X_21),join(X_21,meet(X_21,join(X_21,Y))))) )],[refute_0_136,refute_0_137]) ).
cnf(refute_0_139,plain,
meet(meet(join(X_21,X_21),join(X_21,Y)),join(X_21,meet(X_21,join(X_21,Y)))) = meet(join(meet(Y,join(X_21,X_21)),X_21),join(X_21,X_21)),
inference(resolve,[$cnf( $equal(meet(join(meet(Y,join(X_21,X_21)),X_21),join(X_21,meet(X_21,join(X_21,Y)))),meet(join(meet(Y,join(X_21,X_21)),X_21),join(X_21,X_21))) )],[refute_0_131,refute_0_138]) ).
cnf(refute_0_140,plain,
( meet(meet(join(X_21,X_21),join(X_21,Y)),join(X_21,meet(X_21,join(X_21,Y)))) != meet(join(X_21,X_21),join(X_21,Y))
| meet(meet(join(X_21,X_21),join(X_21,Y)),join(X_21,meet(X_21,join(X_21,Y)))) != meet(join(meet(Y,join(X_21,X_21)),X_21),join(X_21,X_21))
| meet(join(meet(Y,join(X_21,X_21)),X_21),join(X_21,X_21)) = meet(join(X_21,X_21),join(X_21,Y)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(join(X_21,X_21),join(X_21,Y)),join(X_21,meet(X_21,join(X_21,Y)))),meet(join(X_21,X_21),join(X_21,Y))) ),[0],$fot(meet(join(meet(Y,join(X_21,X_21)),X_21),join(X_21,X_21)))]]) ).
cnf(refute_0_141,plain,
( meet(meet(join(X_21,X_21),join(X_21,Y)),join(X_21,meet(X_21,join(X_21,Y)))) != meet(join(X_21,X_21),join(X_21,Y))
| meet(join(meet(Y,join(X_21,X_21)),X_21),join(X_21,X_21)) = meet(join(X_21,X_21),join(X_21,Y)) ),
inference(resolve,[$cnf( $equal(meet(meet(join(X_21,X_21),join(X_21,Y)),join(X_21,meet(X_21,join(X_21,Y)))),meet(join(meet(Y,join(X_21,X_21)),X_21),join(X_21,X_21))) )],[refute_0_139,refute_0_140]) ).
cnf(refute_0_142,plain,
( meet(join(X_21,X_21),join(X_21,Y)) != join(meet(Y,join(X_21,X_21)),X_21)
| meet(join(meet(Y,join(X_21,X_21)),X_21),join(X_21,X_21)) != meet(join(X_21,X_21),join(X_21,Y))
| meet(join(meet(Y,join(X_21,X_21)),X_21),join(X_21,X_21)) = join(meet(Y,join(X_21,X_21)),X_21) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(meet(Y,join(X_21,X_21)),X_21),join(X_21,X_21)),meet(join(X_21,X_21),join(X_21,Y))) ),[1],$fot(join(meet(Y,join(X_21,X_21)),X_21))]]) ).
cnf(refute_0_143,plain,
( meet(join(meet(Y,join(X_21,X_21)),X_21),join(X_21,X_21)) != meet(join(X_21,X_21),join(X_21,Y))
| meet(join(meet(Y,join(X_21,X_21)),X_21),join(X_21,X_21)) = join(meet(Y,join(X_21,X_21)),X_21) ),
inference(resolve,[$cnf( $equal(meet(join(X_21,X_21),join(X_21,Y)),join(meet(Y,join(X_21,X_21)),X_21)) )],[refute_0_132,refute_0_142]) ).
cnf(refute_0_144,plain,
( meet(meet(join(X_21,X_21),join(X_21,Y)),join(X_21,meet(X_21,join(X_21,Y)))) != meet(join(X_21,X_21),join(X_21,Y))
| meet(join(meet(Y,join(X_21,X_21)),X_21),join(X_21,X_21)) = join(meet(Y,join(X_21,X_21)),X_21) ),
inference(resolve,[$cnf( $equal(meet(join(meet(Y,join(X_21,X_21)),X_21),join(X_21,X_21)),meet(join(X_21,X_21),join(X_21,Y))) )],[refute_0_141,refute_0_143]) ).
cnf(refute_0_145,plain,
meet(join(meet(Y,join(X_21,X_21)),X_21),join(X_21,X_21)) = join(meet(Y,join(X_21,X_21)),X_21),
inference(resolve,[$cnf( $equal(meet(meet(join(X_21,X_21),join(X_21,Y)),join(X_21,meet(X_21,join(X_21,Y)))),meet(join(X_21,X_21),join(X_21,Y))) )],[refute_0_122,refute_0_144]) ).
cnf(refute_0_146,plain,
meet(join(meet(join(X_28,Y),join(X_28,X_28)),X_28),join(X_28,X_28)) = join(meet(join(X_28,Y),join(X_28,X_28)),X_28),
inference(subst,[],[refute_0_145:[bind(Y,$fot(join(X_28,Y))),bind(X_21,$fot(X_28))]]) ).
cnf(refute_0_147,plain,
meet(join(X_28,Y),join(X_28,X_28)) = join(X_28,meet(X_28,join(X_28,Y))),
inference(subst,[],[refute_0_5:[bind(X_3,$fot(X_28)),bind(X_4,$fot(X_28))]]) ).
cnf(refute_0_148,plain,
( meet(join(X_28,Y),join(X_28,X_28)) != join(X_28,meet(X_28,join(X_28,Y)))
| meet(join(meet(join(X_28,Y),join(X_28,X_28)),X_28),join(X_28,X_28)) != join(meet(join(X_28,Y),join(X_28,X_28)),X_28)
| meet(join(join(X_28,meet(X_28,join(X_28,Y))),X_28),join(X_28,X_28)) = join(meet(join(X_28,Y),join(X_28,X_28)),X_28) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(meet(join(X_28,Y),join(X_28,X_28)),X_28),join(X_28,X_28)),join(meet(join(X_28,Y),join(X_28,X_28)),X_28)) ),[0,0,0],$fot(join(X_28,meet(X_28,join(X_28,Y))))]]) ).
cnf(refute_0_149,plain,
( meet(join(meet(join(X_28,Y),join(X_28,X_28)),X_28),join(X_28,X_28)) != join(meet(join(X_28,Y),join(X_28,X_28)),X_28)
| meet(join(join(X_28,meet(X_28,join(X_28,Y))),X_28),join(X_28,X_28)) = join(meet(join(X_28,Y),join(X_28,X_28)),X_28) ),
inference(resolve,[$cnf( $equal(meet(join(X_28,Y),join(X_28,X_28)),join(X_28,meet(X_28,join(X_28,Y)))) )],[refute_0_147,refute_0_148]) ).
cnf(refute_0_150,plain,
meet(join(join(X_28,meet(X_28,join(X_28,Y))),X_28),join(X_28,X_28)) = join(meet(join(X_28,Y),join(X_28,X_28)),X_28),
inference(resolve,[$cnf( $equal(meet(join(meet(join(X_28,Y),join(X_28,X_28)),X_28),join(X_28,X_28)),join(meet(join(X_28,Y),join(X_28,X_28)),X_28)) )],[refute_0_146,refute_0_149]) ).
cnf(refute_0_151,plain,
meet(X_28,join(X_28,Y)) = X_28,
inference(subst,[],[absorption:[bind(X,$fot(X_28))]]) ).
cnf(refute_0_152,plain,
join(X_28,meet(X_28,join(X_28,Y))) = join(X_28,meet(X_28,join(X_28,Y))),
introduced(tautology,[refl,[$fot(join(X_28,meet(X_28,join(X_28,Y))))]]) ).
cnf(refute_0_153,plain,
( join(X_28,meet(X_28,join(X_28,Y))) != join(X_28,meet(X_28,join(X_28,Y)))
| meet(X_28,join(X_28,Y)) != X_28
| join(X_28,meet(X_28,join(X_28,Y))) = join(X_28,X_28) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_28,meet(X_28,join(X_28,Y))),join(X_28,meet(X_28,join(X_28,Y)))) ),[1,1],$fot(X_28)]]) ).
cnf(refute_0_154,plain,
( meet(X_28,join(X_28,Y)) != X_28
| join(X_28,meet(X_28,join(X_28,Y))) = join(X_28,X_28) ),
inference(resolve,[$cnf( $equal(join(X_28,meet(X_28,join(X_28,Y))),join(X_28,meet(X_28,join(X_28,Y)))) )],[refute_0_152,refute_0_153]) ).
cnf(refute_0_155,plain,
join(X_28,meet(X_28,join(X_28,Y))) = join(X_28,X_28),
inference(resolve,[$cnf( $equal(meet(X_28,join(X_28,Y)),X_28) )],[refute_0_151,refute_0_154]) ).
cnf(refute_0_156,plain,
join(join(X_28,meet(X_28,join(X_28,Y))),X_28) = join(join(X_28,meet(X_28,join(X_28,Y))),X_28),
introduced(tautology,[refl,[$fot(join(join(X_28,meet(X_28,join(X_28,Y))),X_28))]]) ).
cnf(refute_0_157,plain,
( join(X_28,meet(X_28,join(X_28,Y))) != join(X_28,X_28)
| join(join(X_28,meet(X_28,join(X_28,Y))),X_28) != join(join(X_28,meet(X_28,join(X_28,Y))),X_28)
| join(join(X_28,meet(X_28,join(X_28,Y))),X_28) = join(join(X_28,X_28),X_28) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(X_28,meet(X_28,join(X_28,Y))),X_28),join(join(X_28,meet(X_28,join(X_28,Y))),X_28)) ),[1,0],$fot(join(X_28,X_28))]]) ).
cnf(refute_0_158,plain,
( join(X_28,meet(X_28,join(X_28,Y))) != join(X_28,X_28)
| join(join(X_28,meet(X_28,join(X_28,Y))),X_28) = join(join(X_28,X_28),X_28) ),
inference(resolve,[$cnf( $equal(join(join(X_28,meet(X_28,join(X_28,Y))),X_28),join(join(X_28,meet(X_28,join(X_28,Y))),X_28)) )],[refute_0_156,refute_0_157]) ).
cnf(refute_0_159,plain,
join(join(X_28,meet(X_28,join(X_28,Y))),X_28) = join(join(X_28,X_28),X_28),
inference(resolve,[$cnf( $equal(join(X_28,meet(X_28,join(X_28,Y))),join(X_28,X_28)) )],[refute_0_155,refute_0_158]) ).
cnf(refute_0_160,plain,
meet(join(join(X_28,meet(X_28,join(X_28,Y))),X_28),join(X_28,X_28)) = meet(join(join(X_28,meet(X_28,join(X_28,Y))),X_28),join(X_28,X_28)),
introduced(tautology,[refl,[$fot(meet(join(join(X_28,meet(X_28,join(X_28,Y))),X_28),join(X_28,X_28)))]]) ).
cnf(refute_0_161,plain,
( join(join(X_28,meet(X_28,join(X_28,Y))),X_28) != join(join(X_28,X_28),X_28)
| meet(join(join(X_28,meet(X_28,join(X_28,Y))),X_28),join(X_28,X_28)) != meet(join(join(X_28,meet(X_28,join(X_28,Y))),X_28),join(X_28,X_28))
| meet(join(join(X_28,meet(X_28,join(X_28,Y))),X_28),join(X_28,X_28)) = meet(join(join(X_28,X_28),X_28),join(X_28,X_28)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(join(X_28,meet(X_28,join(X_28,Y))),X_28),join(X_28,X_28)),meet(join(join(X_28,meet(X_28,join(X_28,Y))),X_28),join(X_28,X_28))) ),[1,0],$fot(join(join(X_28,X_28),X_28))]]) ).
cnf(refute_0_162,plain,
( join(join(X_28,meet(X_28,join(X_28,Y))),X_28) != join(join(X_28,X_28),X_28)
| meet(join(join(X_28,meet(X_28,join(X_28,Y))),X_28),join(X_28,X_28)) = meet(join(join(X_28,X_28),X_28),join(X_28,X_28)) ),
inference(resolve,[$cnf( $equal(meet(join(join(X_28,meet(X_28,join(X_28,Y))),X_28),join(X_28,X_28)),meet(join(join(X_28,meet(X_28,join(X_28,Y))),X_28),join(X_28,X_28))) )],[refute_0_160,refute_0_161]) ).
cnf(refute_0_163,plain,
meet(join(join(X_28,meet(X_28,join(X_28,Y))),X_28),join(X_28,X_28)) = meet(join(join(X_28,X_28),X_28),join(X_28,X_28)),
inference(resolve,[$cnf( $equal(join(join(X_28,meet(X_28,join(X_28,Y))),X_28),join(join(X_28,X_28),X_28)) )],[refute_0_159,refute_0_162]) ).
cnf(refute_0_164,plain,
( meet(join(join(X_28,meet(X_28,join(X_28,Y))),X_28),join(X_28,X_28)) != join(meet(join(X_28,Y),join(X_28,X_28)),X_28)
| meet(join(join(X_28,meet(X_28,join(X_28,Y))),X_28),join(X_28,X_28)) != meet(join(join(X_28,X_28),X_28),join(X_28,X_28))
| meet(join(join(X_28,X_28),X_28),join(X_28,X_28)) = join(meet(join(X_28,Y),join(X_28,X_28)),X_28) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(join(X_28,meet(X_28,join(X_28,Y))),X_28),join(X_28,X_28)),join(meet(join(X_28,Y),join(X_28,X_28)),X_28)) ),[0],$fot(meet(join(join(X_28,X_28),X_28),join(X_28,X_28)))]]) ).
cnf(refute_0_165,plain,
( meet(join(join(X_28,meet(X_28,join(X_28,Y))),X_28),join(X_28,X_28)) != join(meet(join(X_28,Y),join(X_28,X_28)),X_28)
| meet(join(join(X_28,X_28),X_28),join(X_28,X_28)) = join(meet(join(X_28,Y),join(X_28,X_28)),X_28) ),
inference(resolve,[$cnf( $equal(meet(join(join(X_28,meet(X_28,join(X_28,Y))),X_28),join(X_28,X_28)),meet(join(join(X_28,X_28),X_28),join(X_28,X_28))) )],[refute_0_163,refute_0_164]) ).
cnf(refute_0_166,plain,
( join(X_28,meet(X_28,join(X_28,Y))) != join(X_28,X_28)
| meet(join(X_28,Y),join(X_28,X_28)) != join(X_28,meet(X_28,join(X_28,Y)))
| meet(join(X_28,Y),join(X_28,X_28)) = join(X_28,X_28) ),
inference(subst,[],[refute_0_84:[bind(X0,$fot(meet(join(X_28,Y),join(X_28,X_28)))),bind(Y0,$fot(join(X_28,meet(X_28,join(X_28,Y))))),bind(Z0,$fot(join(X_28,X_28)))]]) ).
cnf(refute_0_167,plain,
( join(X_28,meet(X_28,join(X_28,Y))) != join(X_28,X_28)
| meet(join(X_28,Y),join(X_28,X_28)) = join(X_28,X_28) ),
inference(resolve,[$cnf( $equal(meet(join(X_28,Y),join(X_28,X_28)),join(X_28,meet(X_28,join(X_28,Y)))) )],[refute_0_147,refute_0_166]) ).
cnf(refute_0_168,plain,
meet(join(X_28,Y),join(X_28,X_28)) = join(X_28,X_28),
inference(resolve,[$cnf( $equal(join(X_28,meet(X_28,join(X_28,Y))),join(X_28,X_28)) )],[refute_0_155,refute_0_167]) ).
cnf(refute_0_169,plain,
join(meet(join(X_28,Y),join(X_28,X_28)),X_28) = join(meet(join(X_28,Y),join(X_28,X_28)),X_28),
introduced(tautology,[refl,[$fot(join(meet(join(X_28,Y),join(X_28,X_28)),X_28))]]) ).
cnf(refute_0_170,plain,
( join(meet(join(X_28,Y),join(X_28,X_28)),X_28) != join(meet(join(X_28,Y),join(X_28,X_28)),X_28)
| meet(join(X_28,Y),join(X_28,X_28)) != join(X_28,X_28)
| join(meet(join(X_28,Y),join(X_28,X_28)),X_28) = join(join(X_28,X_28),X_28) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(join(X_28,Y),join(X_28,X_28)),X_28),join(meet(join(X_28,Y),join(X_28,X_28)),X_28)) ),[1,0],$fot(join(X_28,X_28))]]) ).
cnf(refute_0_171,plain,
( meet(join(X_28,Y),join(X_28,X_28)) != join(X_28,X_28)
| join(meet(join(X_28,Y),join(X_28,X_28)),X_28) = join(join(X_28,X_28),X_28) ),
inference(resolve,[$cnf( $equal(join(meet(join(X_28,Y),join(X_28,X_28)),X_28),join(meet(join(X_28,Y),join(X_28,X_28)),X_28)) )],[refute_0_169,refute_0_170]) ).
cnf(refute_0_172,plain,
join(meet(join(X_28,Y),join(X_28,X_28)),X_28) = join(join(X_28,X_28),X_28),
inference(resolve,[$cnf( $equal(meet(join(X_28,Y),join(X_28,X_28)),join(X_28,X_28)) )],[refute_0_168,refute_0_171]) ).
cnf(refute_0_173,plain,
( join(meet(join(X_28,Y),join(X_28,X_28)),X_28) != join(join(X_28,X_28),X_28)
| meet(join(join(X_28,X_28),X_28),join(X_28,X_28)) != join(meet(join(X_28,Y),join(X_28,X_28)),X_28)
| meet(join(join(X_28,X_28),X_28),join(X_28,X_28)) = join(join(X_28,X_28),X_28) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(join(X_28,X_28),X_28),join(X_28,X_28)),join(meet(join(X_28,Y),join(X_28,X_28)),X_28)) ),[1],$fot(join(join(X_28,X_28),X_28))]]) ).
cnf(refute_0_174,plain,
( meet(join(join(X_28,X_28),X_28),join(X_28,X_28)) != join(meet(join(X_28,Y),join(X_28,X_28)),X_28)
| meet(join(join(X_28,X_28),X_28),join(X_28,X_28)) = join(join(X_28,X_28),X_28) ),
inference(resolve,[$cnf( $equal(join(meet(join(X_28,Y),join(X_28,X_28)),X_28),join(join(X_28,X_28),X_28)) )],[refute_0_172,refute_0_173]) ).
cnf(refute_0_175,plain,
( meet(join(join(X_28,meet(X_28,join(X_28,Y))),X_28),join(X_28,X_28)) != join(meet(join(X_28,Y),join(X_28,X_28)),X_28)
| meet(join(join(X_28,X_28),X_28),join(X_28,X_28)) = join(join(X_28,X_28),X_28) ),
inference(resolve,[$cnf( $equal(meet(join(join(X_28,X_28),X_28),join(X_28,X_28)),join(meet(join(X_28,Y),join(X_28,X_28)),X_28)) )],[refute_0_165,refute_0_174]) ).
cnf(refute_0_176,plain,
meet(join(join(X_28,X_28),X_28),join(X_28,X_28)) = join(join(X_28,X_28),X_28),
inference(resolve,[$cnf( $equal(meet(join(join(X_28,meet(X_28,join(X_28,Y))),X_28),join(X_28,X_28)),join(meet(join(X_28,Y),join(X_28,X_28)),X_28)) )],[refute_0_150,refute_0_175]) ).
cnf(refute_0_177,plain,
meet(join(join(X_29,X_29),X_29),join(X_29,X_29)) = join(join(X_29,X_29),X_29),
inference(subst,[],[refute_0_176:[bind(X_28,$fot(X_29))]]) ).
cnf(refute_0_178,plain,
( meet(join(X_29,X_29),join(Y,join(join(X_29,X_29),X_29))) != join(meet(join(join(X_29,X_29),X_29),join(X_29,X_29)),meet(Y,join(X_29,X_29)))
| meet(join(join(X_29,X_29),X_29),join(X_29,X_29)) != join(join(X_29,X_29),X_29)
| meet(join(X_29,X_29),join(Y,join(join(X_29,X_29),X_29))) = join(join(join(X_29,X_29),X_29),meet(Y,join(X_29,X_29))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_29,X_29),join(Y,join(join(X_29,X_29),X_29))),join(meet(join(join(X_29,X_29),X_29),join(X_29,X_29)),meet(Y,join(X_29,X_29)))) ),[1,0],$fot(join(join(X_29,X_29),X_29))]]) ).
cnf(refute_0_179,plain,
( meet(join(X_29,X_29),join(Y,join(join(X_29,X_29),X_29))) != join(meet(join(join(X_29,X_29),X_29),join(X_29,X_29)),meet(Y,join(X_29,X_29)))
| meet(join(X_29,X_29),join(Y,join(join(X_29,X_29),X_29))) = join(join(join(X_29,X_29),X_29),meet(Y,join(X_29,X_29))) ),
inference(resolve,[$cnf( $equal(meet(join(join(X_29,X_29),X_29),join(X_29,X_29)),join(join(X_29,X_29),X_29)) )],[refute_0_177,refute_0_178]) ).
cnf(refute_0_180,plain,
meet(join(X_29,X_29),join(Y,join(join(X_29,X_29),X_29))) = join(join(join(X_29,X_29),X_29),meet(Y,join(X_29,X_29))),
inference(resolve,[$cnf( $equal(meet(join(X_29,X_29),join(Y,join(join(X_29,X_29),X_29))),join(meet(join(join(X_29,X_29),X_29),join(X_29,X_29)),meet(Y,join(X_29,X_29)))) )],[refute_0_94,refute_0_179]) ).
cnf(refute_0_181,plain,
meet(X_28,join(X_28,X_28)) = X_28,
inference(subst,[],[absorption:[bind(X,$fot(X_28)),bind(Y,$fot(X_28))]]) ).
cnf(refute_0_182,plain,
join(X_28,meet(X_28,join(X_28,X_28))) = join(X_28,meet(X_28,join(X_28,X_28))),
introduced(tautology,[refl,[$fot(join(X_28,meet(X_28,join(X_28,X_28))))]]) ).
cnf(refute_0_183,plain,
( join(X_28,meet(X_28,join(X_28,X_28))) != join(X_28,meet(X_28,join(X_28,X_28)))
| meet(X_28,join(X_28,X_28)) != X_28
| join(X_28,meet(X_28,join(X_28,X_28))) = join(X_28,X_28) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_28,meet(X_28,join(X_28,X_28))),join(X_28,meet(X_28,join(X_28,X_28)))) ),[1,1],$fot(X_28)]]) ).
cnf(refute_0_184,plain,
( meet(X_28,join(X_28,X_28)) != X_28
| join(X_28,meet(X_28,join(X_28,X_28))) = join(X_28,X_28) ),
inference(resolve,[$cnf( $equal(join(X_28,meet(X_28,join(X_28,X_28))),join(X_28,meet(X_28,join(X_28,X_28)))) )],[refute_0_182,refute_0_183]) ).
cnf(refute_0_185,plain,
join(X_28,meet(X_28,join(X_28,X_28))) = join(X_28,X_28),
inference(resolve,[$cnf( $equal(meet(X_28,join(X_28,X_28)),X_28) )],[refute_0_181,refute_0_184]) ).
cnf(refute_0_186,plain,
meet(join(X_28,X_28),join(X_28,X_28)) = join(X_28,meet(X_28,join(X_28,X_28))),
inference(subst,[],[refute_0_5:[bind(Y,$fot(X_28)),bind(X_3,$fot(X_28)),bind(X_4,$fot(X_28))]]) ).
cnf(refute_0_187,plain,
meet(meet(join(meet(X_8,join(X_15,X_8)),X_15),X_14),meet(X_14,join(X_15,join(meet(X_8,join(X_15,X_8)),X_15)))) = meet(join(meet(X_8,join(X_15,X_8)),X_15),X_14),
inference(subst,[],[refute_0_29:[bind(X_2,$fot(X_14)),bind(X_3,$fot(X_15)),bind(X_4,$fot(join(meet(X_8,join(X_15,X_8)),X_15)))]]) ).
cnf(refute_0_188,plain,
join(X_15,join(meet(X_8,join(X_15,X_8)),X_15)) = join(X_15,X_8),
inference(subst,[],[refute_0_108:[bind(Y,$fot(X_15))]]) ).
cnf(refute_0_189,plain,
( join(X_15,join(meet(X_8,join(X_15,X_8)),X_15)) != join(X_15,X_8)
| meet(meet(join(meet(X_8,join(X_15,X_8)),X_15),X_14),meet(X_14,join(X_15,join(meet(X_8,join(X_15,X_8)),X_15)))) != meet(join(meet(X_8,join(X_15,X_8)),X_15),X_14)
| meet(meet(join(meet(X_8,join(X_15,X_8)),X_15),X_14),meet(X_14,join(X_15,X_8))) = meet(join(meet(X_8,join(X_15,X_8)),X_15),X_14) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(join(meet(X_8,join(X_15,X_8)),X_15),X_14),meet(X_14,join(X_15,join(meet(X_8,join(X_15,X_8)),X_15)))),meet(join(meet(X_8,join(X_15,X_8)),X_15),X_14)) ),[0,1,1],$fot(join(X_15,X_8))]]) ).
cnf(refute_0_190,plain,
( meet(meet(join(meet(X_8,join(X_15,X_8)),X_15),X_14),meet(X_14,join(X_15,join(meet(X_8,join(X_15,X_8)),X_15)))) != meet(join(meet(X_8,join(X_15,X_8)),X_15),X_14)
| meet(meet(join(meet(X_8,join(X_15,X_8)),X_15),X_14),meet(X_14,join(X_15,X_8))) = meet(join(meet(X_8,join(X_15,X_8)),X_15),X_14) ),
inference(resolve,[$cnf( $equal(join(X_15,join(meet(X_8,join(X_15,X_8)),X_15)),join(X_15,X_8)) )],[refute_0_188,refute_0_189]) ).
cnf(refute_0_191,plain,
meet(meet(join(meet(X_8,join(X_15,X_8)),X_15),X_14),meet(X_14,join(X_15,X_8))) = meet(join(meet(X_8,join(X_15,X_8)),X_15),X_14),
inference(resolve,[$cnf( $equal(meet(meet(join(meet(X_8,join(X_15,X_8)),X_15),X_14),meet(X_14,join(X_15,join(meet(X_8,join(X_15,X_8)),X_15)))),meet(join(meet(X_8,join(X_15,X_8)),X_15),X_14)) )],[refute_0_187,refute_0_190]) ).
cnf(refute_0_192,plain,
meet(meet(join(meet(join(X_42,X_42),join(X_42,join(X_42,X_42))),X_42),X_41),meet(X_41,join(X_42,join(X_42,X_42)))) = meet(join(meet(join(X_42,X_42),join(X_42,join(X_42,X_42))),X_42),X_41),
inference(subst,[],[refute_0_191:[bind(X_14,$fot(X_41)),bind(X_15,$fot(X_42)),bind(X_8,$fot(join(X_42,X_42)))]]) ).
cnf(refute_0_193,plain,
join(X_42,join(X_42,X_42)) = join(X_42,X_42),
inference(subst,[],[refute_0_113:[bind(X_11,$fot(X_42))]]) ).
cnf(refute_0_194,plain,
( join(X_42,join(X_42,X_42)) != join(X_42,X_42)
| meet(meet(join(meet(join(X_42,X_42),join(X_42,join(X_42,X_42))),X_42),X_41),meet(X_41,join(X_42,join(X_42,X_42)))) != meet(join(meet(join(X_42,X_42),join(X_42,join(X_42,X_42))),X_42),X_41)
| meet(meet(join(meet(join(X_42,X_42),join(X_42,X_42)),X_42),X_41),meet(X_41,join(X_42,join(X_42,X_42)))) = meet(join(meet(join(X_42,X_42),join(X_42,join(X_42,X_42))),X_42),X_41) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(join(meet(join(X_42,X_42),join(X_42,join(X_42,X_42))),X_42),X_41),meet(X_41,join(X_42,join(X_42,X_42)))),meet(join(meet(join(X_42,X_42),join(X_42,join(X_42,X_42))),X_42),X_41)) ),[0,0,0,0,1],$fot(join(X_42,X_42))]]) ).
cnf(refute_0_195,plain,
( meet(meet(join(meet(join(X_42,X_42),join(X_42,join(X_42,X_42))),X_42),X_41),meet(X_41,join(X_42,join(X_42,X_42)))) != meet(join(meet(join(X_42,X_42),join(X_42,join(X_42,X_42))),X_42),X_41)
| meet(meet(join(meet(join(X_42,X_42),join(X_42,X_42)),X_42),X_41),meet(X_41,join(X_42,join(X_42,X_42)))) = meet(join(meet(join(X_42,X_42),join(X_42,join(X_42,X_42))),X_42),X_41) ),
inference(resolve,[$cnf( $equal(join(X_42,join(X_42,X_42)),join(X_42,X_42)) )],[refute_0_193,refute_0_194]) ).
cnf(refute_0_196,plain,
meet(meet(join(meet(join(X_42,X_42),join(X_42,X_42)),X_42),X_41),meet(X_41,join(X_42,join(X_42,X_42)))) = meet(join(meet(join(X_42,X_42),join(X_42,join(X_42,X_42))),X_42),X_41),
inference(resolve,[$cnf( $equal(meet(meet(join(meet(join(X_42,X_42),join(X_42,join(X_42,X_42))),X_42),X_41),meet(X_41,join(X_42,join(X_42,X_42)))),meet(join(meet(join(X_42,X_42),join(X_42,join(X_42,X_42))),X_42),X_41)) )],[refute_0_192,refute_0_195]) ).
cnf(refute_0_197,plain,
meet(meet(join(join(X_3,X_3),X_3),X_2),meet(X_2,join(X_3,join(join(X_3,X_3),X_3)))) = meet(join(join(X_3,X_3),X_3),X_2),
inference(subst,[],[refute_0_29:[bind(X_4,$fot(join(join(X_3,X_3),X_3)))]]) ).
cnf(refute_0_198,plain,
join(Y,join(meet(join(Y,Y),join(Y,join(Y,Y))),Y)) = join(Y,join(Y,Y)),
inference(subst,[],[refute_0_108:[bind(X_8,$fot(join(Y,Y)))]]) ).
cnf(refute_0_199,plain,
join(Y,join(Y,Y)) = join(Y,Y),
inference(subst,[],[refute_0_113:[bind(X_11,$fot(Y))]]) ).
cnf(refute_0_200,plain,
( join(Y,join(Y,Y)) != join(Y,Y)
| join(Y,join(meet(join(Y,Y),join(Y,join(Y,Y))),Y)) != join(Y,join(Y,Y))
| join(Y,join(meet(join(Y,Y),join(Y,Y)),Y)) = join(Y,join(Y,Y)) ),
introduced(tautology,[equality,[$cnf( $equal(join(Y,join(meet(join(Y,Y),join(Y,join(Y,Y))),Y)),join(Y,join(Y,Y))) ),[0,1,0,1],$fot(join(Y,Y))]]) ).
cnf(refute_0_201,plain,
( join(Y,join(meet(join(Y,Y),join(Y,join(Y,Y))),Y)) != join(Y,join(Y,Y))
| join(Y,join(meet(join(Y,Y),join(Y,Y)),Y)) = join(Y,join(Y,Y)) ),
inference(resolve,[$cnf( $equal(join(Y,join(Y,Y)),join(Y,Y)) )],[refute_0_199,refute_0_200]) ).
cnf(refute_0_202,plain,
join(Y,join(meet(join(Y,Y),join(Y,Y)),Y)) = join(Y,join(Y,Y)),
inference(resolve,[$cnf( $equal(join(Y,join(meet(join(Y,Y),join(Y,join(Y,Y))),Y)),join(Y,join(Y,Y))) )],[refute_0_198,refute_0_201]) ).
cnf(refute_0_203,plain,
meet(Y,join(Y,Y)) = Y,
inference(subst,[],[absorption:[bind(X,$fot(Y))]]) ).
cnf(refute_0_204,plain,
join(Y,meet(Y,join(Y,Y))) = join(Y,meet(Y,join(Y,Y))),
introduced(tautology,[refl,[$fot(join(Y,meet(Y,join(Y,Y))))]]) ).
cnf(refute_0_205,plain,
( join(Y,meet(Y,join(Y,Y))) != join(Y,meet(Y,join(Y,Y)))
| meet(Y,join(Y,Y)) != Y
| join(Y,meet(Y,join(Y,Y))) = join(Y,Y) ),
introduced(tautology,[equality,[$cnf( $equal(join(Y,meet(Y,join(Y,Y))),join(Y,meet(Y,join(Y,Y)))) ),[1,1],$fot(Y)]]) ).
cnf(refute_0_206,plain,
( meet(Y,join(Y,Y)) != Y
| join(Y,meet(Y,join(Y,Y))) = join(Y,Y) ),
inference(resolve,[$cnf( $equal(join(Y,meet(Y,join(Y,Y))),join(Y,meet(Y,join(Y,Y)))) )],[refute_0_204,refute_0_205]) ).
cnf(refute_0_207,plain,
join(Y,meet(Y,join(Y,Y))) = join(Y,Y),
inference(resolve,[$cnf( $equal(meet(Y,join(Y,Y)),Y) )],[refute_0_203,refute_0_206]) ).
cnf(refute_0_208,plain,
meet(join(Y,Y),join(Y,Y)) = join(Y,meet(Y,join(Y,Y))),
inference(subst,[],[refute_0_5:[bind(X_3,$fot(Y)),bind(X_4,$fot(Y))]]) ).
cnf(refute_0_209,plain,
( join(Y,meet(Y,join(Y,Y))) != join(Y,Y)
| meet(join(Y,Y),join(Y,Y)) != join(Y,meet(Y,join(Y,Y)))
| meet(join(Y,Y),join(Y,Y)) = join(Y,Y) ),
inference(subst,[],[refute_0_84:[bind(X0,$fot(meet(join(Y,Y),join(Y,Y)))),bind(Y0,$fot(join(Y,meet(Y,join(Y,Y))))),bind(Z0,$fot(join(Y,Y)))]]) ).
cnf(refute_0_210,plain,
( join(Y,meet(Y,join(Y,Y))) != join(Y,Y)
| meet(join(Y,Y),join(Y,Y)) = join(Y,Y) ),
inference(resolve,[$cnf( $equal(meet(join(Y,Y),join(Y,Y)),join(Y,meet(Y,join(Y,Y)))) )],[refute_0_208,refute_0_209]) ).
cnf(refute_0_211,plain,
meet(join(Y,Y),join(Y,Y)) = join(Y,Y),
inference(resolve,[$cnf( $equal(join(Y,meet(Y,join(Y,Y))),join(Y,Y)) )],[refute_0_207,refute_0_210]) ).
cnf(refute_0_212,plain,
join(meet(join(Y,Y),join(Y,Y)),Y) = join(meet(join(Y,Y),join(Y,Y)),Y),
introduced(tautology,[refl,[$fot(join(meet(join(Y,Y),join(Y,Y)),Y))]]) ).
cnf(refute_0_213,plain,
( join(meet(join(Y,Y),join(Y,Y)),Y) != join(meet(join(Y,Y),join(Y,Y)),Y)
| meet(join(Y,Y),join(Y,Y)) != join(Y,Y)
| join(meet(join(Y,Y),join(Y,Y)),Y) = join(join(Y,Y),Y) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(join(Y,Y),join(Y,Y)),Y),join(meet(join(Y,Y),join(Y,Y)),Y)) ),[1,0],$fot(join(Y,Y))]]) ).
cnf(refute_0_214,plain,
( meet(join(Y,Y),join(Y,Y)) != join(Y,Y)
| join(meet(join(Y,Y),join(Y,Y)),Y) = join(join(Y,Y),Y) ),
inference(resolve,[$cnf( $equal(join(meet(join(Y,Y),join(Y,Y)),Y),join(meet(join(Y,Y),join(Y,Y)),Y)) )],[refute_0_212,refute_0_213]) ).
cnf(refute_0_215,plain,
join(meet(join(Y,Y),join(Y,Y)),Y) = join(join(Y,Y),Y),
inference(resolve,[$cnf( $equal(meet(join(Y,Y),join(Y,Y)),join(Y,Y)) )],[refute_0_211,refute_0_214]) ).
cnf(refute_0_216,plain,
join(Y,join(meet(join(Y,Y),join(Y,Y)),Y)) = join(Y,join(meet(join(Y,Y),join(Y,Y)),Y)),
introduced(tautology,[refl,[$fot(join(Y,join(meet(join(Y,Y),join(Y,Y)),Y)))]]) ).
cnf(refute_0_217,plain,
( join(Y,join(meet(join(Y,Y),join(Y,Y)),Y)) != join(Y,join(meet(join(Y,Y),join(Y,Y)),Y))
| join(meet(join(Y,Y),join(Y,Y)),Y) != join(join(Y,Y),Y)
| join(Y,join(meet(join(Y,Y),join(Y,Y)),Y)) = join(Y,join(join(Y,Y),Y)) ),
introduced(tautology,[equality,[$cnf( $equal(join(Y,join(meet(join(Y,Y),join(Y,Y)),Y)),join(Y,join(meet(join(Y,Y),join(Y,Y)),Y))) ),[1,1],$fot(join(join(Y,Y),Y))]]) ).
cnf(refute_0_218,plain,
( join(meet(join(Y,Y),join(Y,Y)),Y) != join(join(Y,Y),Y)
| join(Y,join(meet(join(Y,Y),join(Y,Y)),Y)) = join(Y,join(join(Y,Y),Y)) ),
inference(resolve,[$cnf( $equal(join(Y,join(meet(join(Y,Y),join(Y,Y)),Y)),join(Y,join(meet(join(Y,Y),join(Y,Y)),Y))) )],[refute_0_216,refute_0_217]) ).
cnf(refute_0_219,plain,
join(Y,join(meet(join(Y,Y),join(Y,Y)),Y)) = join(Y,join(join(Y,Y),Y)),
inference(resolve,[$cnf( $equal(join(meet(join(Y,Y),join(Y,Y)),Y),join(join(Y,Y),Y)) )],[refute_0_215,refute_0_218]) ).
cnf(refute_0_220,plain,
( join(Y,join(meet(join(Y,Y),join(Y,Y)),Y)) != join(Y,join(Y,Y))
| join(Y,join(meet(join(Y,Y),join(Y,Y)),Y)) != join(Y,join(join(Y,Y),Y))
| join(Y,join(join(Y,Y),Y)) = join(Y,join(Y,Y)) ),
introduced(tautology,[equality,[$cnf( $equal(join(Y,join(meet(join(Y,Y),join(Y,Y)),Y)),join(Y,join(Y,Y))) ),[0],$fot(join(Y,join(join(Y,Y),Y)))]]) ).
cnf(refute_0_221,plain,
( join(Y,join(meet(join(Y,Y),join(Y,Y)),Y)) != join(Y,join(Y,Y))
| join(Y,join(join(Y,Y),Y)) = join(Y,join(Y,Y)) ),
inference(resolve,[$cnf( $equal(join(Y,join(meet(join(Y,Y),join(Y,Y)),Y)),join(Y,join(join(Y,Y),Y))) )],[refute_0_219,refute_0_220]) ).
cnf(refute_0_222,plain,
( join(Y,join(Y,Y)) != join(Y,Y)
| join(Y,join(join(Y,Y),Y)) != join(Y,join(Y,Y))
| join(Y,join(join(Y,Y),Y)) = join(Y,Y) ),
introduced(tautology,[equality,[$cnf( $equal(join(Y,join(join(Y,Y),Y)),join(Y,join(Y,Y))) ),[1],$fot(join(Y,Y))]]) ).
cnf(refute_0_223,plain,
( join(Y,join(join(Y,Y),Y)) != join(Y,join(Y,Y))
| join(Y,join(join(Y,Y),Y)) = join(Y,Y) ),
inference(resolve,[$cnf( $equal(join(Y,join(Y,Y)),join(Y,Y)) )],[refute_0_199,refute_0_222]) ).
cnf(refute_0_224,plain,
( join(Y,join(meet(join(Y,Y),join(Y,Y)),Y)) != join(Y,join(Y,Y))
| join(Y,join(join(Y,Y),Y)) = join(Y,Y) ),
inference(resolve,[$cnf( $equal(join(Y,join(join(Y,Y),Y)),join(Y,join(Y,Y))) )],[refute_0_221,refute_0_223]) ).
cnf(refute_0_225,plain,
join(Y,join(join(Y,Y),Y)) = join(Y,Y),
inference(resolve,[$cnf( $equal(join(Y,join(meet(join(Y,Y),join(Y,Y)),Y)),join(Y,join(Y,Y))) )],[refute_0_202,refute_0_224]) ).
cnf(refute_0_226,plain,
join(X_3,join(join(X_3,X_3),X_3)) = join(X_3,X_3),
inference(subst,[],[refute_0_225:[bind(Y,$fot(X_3))]]) ).
cnf(refute_0_227,plain,
( join(X_3,join(join(X_3,X_3),X_3)) != join(X_3,X_3)
| meet(meet(join(join(X_3,X_3),X_3),X_2),meet(X_2,join(X_3,join(join(X_3,X_3),X_3)))) != meet(join(join(X_3,X_3),X_3),X_2)
| meet(meet(join(join(X_3,X_3),X_3),X_2),meet(X_2,join(X_3,X_3))) = meet(join(join(X_3,X_3),X_3),X_2) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(join(join(X_3,X_3),X_3),X_2),meet(X_2,join(X_3,join(join(X_3,X_3),X_3)))),meet(join(join(X_3,X_3),X_3),X_2)) ),[0,1,1],$fot(join(X_3,X_3))]]) ).
cnf(refute_0_228,plain,
( meet(meet(join(join(X_3,X_3),X_3),X_2),meet(X_2,join(X_3,join(join(X_3,X_3),X_3)))) != meet(join(join(X_3,X_3),X_3),X_2)
| meet(meet(join(join(X_3,X_3),X_3),X_2),meet(X_2,join(X_3,X_3))) = meet(join(join(X_3,X_3),X_3),X_2) ),
inference(resolve,[$cnf( $equal(join(X_3,join(join(X_3,X_3),X_3)),join(X_3,X_3)) )],[refute_0_226,refute_0_227]) ).
cnf(refute_0_229,plain,
meet(meet(join(join(X_3,X_3),X_3),X_2),meet(X_2,join(X_3,X_3))) = meet(join(join(X_3,X_3),X_3),X_2),
inference(resolve,[$cnf( $equal(meet(meet(join(join(X_3,X_3),X_3),X_2),meet(X_2,join(X_3,join(join(X_3,X_3),X_3)))),meet(join(join(X_3,X_3),X_3),X_2)) )],[refute_0_197,refute_0_228]) ).
cnf(refute_0_230,plain,
meet(meet(join(join(X_42,X_42),X_42),X_41),meet(X_41,join(X_42,X_42))) = meet(join(join(X_42,X_42),X_42),X_41),
inference(subst,[],[refute_0_229:[bind(X_2,$fot(X_41)),bind(X_3,$fot(X_42))]]) ).
cnf(refute_0_231,plain,
meet(X_41,join(X_42,join(X_42,X_42))) = meet(X_41,join(X_42,join(X_42,X_42))),
introduced(tautology,[refl,[$fot(meet(X_41,join(X_42,join(X_42,X_42))))]]) ).
cnf(refute_0_232,plain,
( join(X_42,join(X_42,X_42)) != join(X_42,X_42)
| meet(X_41,join(X_42,join(X_42,X_42))) != meet(X_41,join(X_42,join(X_42,X_42)))
| meet(X_41,join(X_42,join(X_42,X_42))) = meet(X_41,join(X_42,X_42)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_41,join(X_42,join(X_42,X_42))),meet(X_41,join(X_42,join(X_42,X_42)))) ),[1,1],$fot(join(X_42,X_42))]]) ).
cnf(refute_0_233,plain,
( join(X_42,join(X_42,X_42)) != join(X_42,X_42)
| meet(X_41,join(X_42,join(X_42,X_42))) = meet(X_41,join(X_42,X_42)) ),
inference(resolve,[$cnf( $equal(meet(X_41,join(X_42,join(X_42,X_42))),meet(X_41,join(X_42,join(X_42,X_42)))) )],[refute_0_231,refute_0_232]) ).
cnf(refute_0_234,plain,
meet(X_41,join(X_42,join(X_42,X_42))) = meet(X_41,join(X_42,X_42)),
inference(resolve,[$cnf( $equal(join(X_42,join(X_42,X_42)),join(X_42,X_42)) )],[refute_0_193,refute_0_233]) ).
cnf(refute_0_235,plain,
meet(meet(join(join(X_42,X_42),X_42),X_41),meet(X_41,join(X_42,join(X_42,X_42)))) = meet(meet(join(join(X_42,X_42),X_42),X_41),meet(X_41,join(X_42,join(X_42,X_42)))),
introduced(tautology,[refl,[$fot(meet(meet(join(join(X_42,X_42),X_42),X_41),meet(X_41,join(X_42,join(X_42,X_42)))))]]) ).
cnf(refute_0_236,plain,
( meet(X_41,join(X_42,join(X_42,X_42))) != meet(X_41,join(X_42,X_42))
| meet(meet(join(join(X_42,X_42),X_42),X_41),meet(X_41,join(X_42,join(X_42,X_42)))) != meet(meet(join(join(X_42,X_42),X_42),X_41),meet(X_41,join(X_42,join(X_42,X_42))))
| meet(meet(join(join(X_42,X_42),X_42),X_41),meet(X_41,join(X_42,join(X_42,X_42)))) = meet(meet(join(join(X_42,X_42),X_42),X_41),meet(X_41,join(X_42,X_42))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(join(join(X_42,X_42),X_42),X_41),meet(X_41,join(X_42,join(X_42,X_42)))),meet(meet(join(join(X_42,X_42),X_42),X_41),meet(X_41,join(X_42,join(X_42,X_42))))) ),[1,1],$fot(meet(X_41,join(X_42,X_42)))]]) ).
cnf(refute_0_237,plain,
( meet(X_41,join(X_42,join(X_42,X_42))) != meet(X_41,join(X_42,X_42))
| meet(meet(join(join(X_42,X_42),X_42),X_41),meet(X_41,join(X_42,join(X_42,X_42)))) = meet(meet(join(join(X_42,X_42),X_42),X_41),meet(X_41,join(X_42,X_42))) ),
inference(resolve,[$cnf( $equal(meet(meet(join(join(X_42,X_42),X_42),X_41),meet(X_41,join(X_42,join(X_42,X_42)))),meet(meet(join(join(X_42,X_42),X_42),X_41),meet(X_41,join(X_42,join(X_42,X_42))))) )],[refute_0_235,refute_0_236]) ).
cnf(refute_0_238,plain,
meet(meet(join(join(X_42,X_42),X_42),X_41),meet(X_41,join(X_42,join(X_42,X_42)))) = meet(meet(join(join(X_42,X_42),X_42),X_41),meet(X_41,join(X_42,X_42))),
inference(resolve,[$cnf( $equal(meet(X_41,join(X_42,join(X_42,X_42))),meet(X_41,join(X_42,X_42))) )],[refute_0_234,refute_0_237]) ).
cnf(refute_0_239,plain,
meet(X_42,join(X_42,X_42)) = X_42,
inference(subst,[],[absorption:[bind(X,$fot(X_42)),bind(Y,$fot(X_42))]]) ).
cnf(refute_0_240,plain,
join(X_42,meet(X_42,join(X_42,X_42))) = join(X_42,meet(X_42,join(X_42,X_42))),
introduced(tautology,[refl,[$fot(join(X_42,meet(X_42,join(X_42,X_42))))]]) ).
cnf(refute_0_241,plain,
( join(X_42,meet(X_42,join(X_42,X_42))) != join(X_42,meet(X_42,join(X_42,X_42)))
| meet(X_42,join(X_42,X_42)) != X_42
| join(X_42,meet(X_42,join(X_42,X_42))) = join(X_42,X_42) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_42,meet(X_42,join(X_42,X_42))),join(X_42,meet(X_42,join(X_42,X_42)))) ),[1,1],$fot(X_42)]]) ).
cnf(refute_0_242,plain,
( meet(X_42,join(X_42,X_42)) != X_42
| join(X_42,meet(X_42,join(X_42,X_42))) = join(X_42,X_42) ),
inference(resolve,[$cnf( $equal(join(X_42,meet(X_42,join(X_42,X_42))),join(X_42,meet(X_42,join(X_42,X_42)))) )],[refute_0_240,refute_0_241]) ).
cnf(refute_0_243,plain,
join(X_42,meet(X_42,join(X_42,X_42))) = join(X_42,X_42),
inference(resolve,[$cnf( $equal(meet(X_42,join(X_42,X_42)),X_42) )],[refute_0_239,refute_0_242]) ).
cnf(refute_0_244,plain,
meet(join(X_42,X_42),join(X_42,X_42)) = join(X_42,meet(X_42,join(X_42,X_42))),
inference(subst,[],[refute_0_5:[bind(Y,$fot(X_42)),bind(X_3,$fot(X_42)),bind(X_4,$fot(X_42))]]) ).
cnf(refute_0_245,plain,
( join(X_42,meet(X_42,join(X_42,X_42))) != join(X_42,X_42)
| meet(join(X_42,X_42),join(X_42,X_42)) != join(X_42,meet(X_42,join(X_42,X_42)))
| meet(join(X_42,X_42),join(X_42,X_42)) = join(X_42,X_42) ),
inference(subst,[],[refute_0_84:[bind(X0,$fot(meet(join(X_42,X_42),join(X_42,X_42)))),bind(Y0,$fot(join(X_42,meet(X_42,join(X_42,X_42))))),bind(Z0,$fot(join(X_42,X_42)))]]) ).
cnf(refute_0_246,plain,
( join(X_42,meet(X_42,join(X_42,X_42))) != join(X_42,X_42)
| meet(join(X_42,X_42),join(X_42,X_42)) = join(X_42,X_42) ),
inference(resolve,[$cnf( $equal(meet(join(X_42,X_42),join(X_42,X_42)),join(X_42,meet(X_42,join(X_42,X_42)))) )],[refute_0_244,refute_0_245]) ).
cnf(refute_0_247,plain,
meet(join(X_42,X_42),join(X_42,X_42)) = join(X_42,X_42),
inference(resolve,[$cnf( $equal(join(X_42,meet(X_42,join(X_42,X_42))),join(X_42,X_42)) )],[refute_0_243,refute_0_246]) ).
cnf(refute_0_248,plain,
join(meet(join(X_42,X_42),join(X_42,X_42)),X_42) = join(meet(join(X_42,X_42),join(X_42,X_42)),X_42),
introduced(tautology,[refl,[$fot(join(meet(join(X_42,X_42),join(X_42,X_42)),X_42))]]) ).
cnf(refute_0_249,plain,
( join(meet(join(X_42,X_42),join(X_42,X_42)),X_42) != join(meet(join(X_42,X_42),join(X_42,X_42)),X_42)
| meet(join(X_42,X_42),join(X_42,X_42)) != join(X_42,X_42)
| join(meet(join(X_42,X_42),join(X_42,X_42)),X_42) = join(join(X_42,X_42),X_42) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(join(X_42,X_42),join(X_42,X_42)),X_42),join(meet(join(X_42,X_42),join(X_42,X_42)),X_42)) ),[1,0],$fot(join(X_42,X_42))]]) ).
cnf(refute_0_250,plain,
( meet(join(X_42,X_42),join(X_42,X_42)) != join(X_42,X_42)
| join(meet(join(X_42,X_42),join(X_42,X_42)),X_42) = join(join(X_42,X_42),X_42) ),
inference(resolve,[$cnf( $equal(join(meet(join(X_42,X_42),join(X_42,X_42)),X_42),join(meet(join(X_42,X_42),join(X_42,X_42)),X_42)) )],[refute_0_248,refute_0_249]) ).
cnf(refute_0_251,plain,
join(meet(join(X_42,X_42),join(X_42,X_42)),X_42) = join(join(X_42,X_42),X_42),
inference(resolve,[$cnf( $equal(meet(join(X_42,X_42),join(X_42,X_42)),join(X_42,X_42)) )],[refute_0_247,refute_0_250]) ).
cnf(refute_0_252,plain,
meet(join(meet(join(X_42,X_42),join(X_42,X_42)),X_42),X_41) = meet(join(meet(join(X_42,X_42),join(X_42,X_42)),X_42),X_41),
introduced(tautology,[refl,[$fot(meet(join(meet(join(X_42,X_42),join(X_42,X_42)),X_42),X_41))]]) ).
cnf(refute_0_253,plain,
( join(meet(join(X_42,X_42),join(X_42,X_42)),X_42) != join(join(X_42,X_42),X_42)
| meet(join(meet(join(X_42,X_42),join(X_42,X_42)),X_42),X_41) != meet(join(meet(join(X_42,X_42),join(X_42,X_42)),X_42),X_41)
| meet(join(meet(join(X_42,X_42),join(X_42,X_42)),X_42),X_41) = meet(join(join(X_42,X_42),X_42),X_41) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(meet(join(X_42,X_42),join(X_42,X_42)),X_42),X_41),meet(join(meet(join(X_42,X_42),join(X_42,X_42)),X_42),X_41)) ),[1,0],$fot(join(join(X_42,X_42),X_42))]]) ).
cnf(refute_0_254,plain,
( join(meet(join(X_42,X_42),join(X_42,X_42)),X_42) != join(join(X_42,X_42),X_42)
| meet(join(meet(join(X_42,X_42),join(X_42,X_42)),X_42),X_41) = meet(join(join(X_42,X_42),X_42),X_41) ),
inference(resolve,[$cnf( $equal(meet(join(meet(join(X_42,X_42),join(X_42,X_42)),X_42),X_41),meet(join(meet(join(X_42,X_42),join(X_42,X_42)),X_42),X_41)) )],[refute_0_252,refute_0_253]) ).
cnf(refute_0_255,plain,
meet(join(meet(join(X_42,X_42),join(X_42,X_42)),X_42),X_41) = meet(join(join(X_42,X_42),X_42),X_41),
inference(resolve,[$cnf( $equal(join(meet(join(X_42,X_42),join(X_42,X_42)),X_42),join(join(X_42,X_42),X_42)) )],[refute_0_251,refute_0_254]) ).
cnf(refute_0_256,plain,
meet(meet(join(meet(join(X_42,X_42),join(X_42,X_42)),X_42),X_41),meet(X_41,join(X_42,join(X_42,X_42)))) = meet(meet(join(meet(join(X_42,X_42),join(X_42,X_42)),X_42),X_41),meet(X_41,join(X_42,join(X_42,X_42)))),
introduced(tautology,[refl,[$fot(meet(meet(join(meet(join(X_42,X_42),join(X_42,X_42)),X_42),X_41),meet(X_41,join(X_42,join(X_42,X_42)))))]]) ).
cnf(refute_0_257,plain,
( meet(join(meet(join(X_42,X_42),join(X_42,X_42)),X_42),X_41) != meet(join(join(X_42,X_42),X_42),X_41)
| meet(meet(join(meet(join(X_42,X_42),join(X_42,X_42)),X_42),X_41),meet(X_41,join(X_42,join(X_42,X_42)))) != meet(meet(join(meet(join(X_42,X_42),join(X_42,X_42)),X_42),X_41),meet(X_41,join(X_42,join(X_42,X_42))))
| meet(meet(join(meet(join(X_42,X_42),join(X_42,X_42)),X_42),X_41),meet(X_41,join(X_42,join(X_42,X_42)))) = meet(meet(join(join(X_42,X_42),X_42),X_41),meet(X_41,join(X_42,join(X_42,X_42)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(join(meet(join(X_42,X_42),join(X_42,X_42)),X_42),X_41),meet(X_41,join(X_42,join(X_42,X_42)))),meet(meet(join(meet(join(X_42,X_42),join(X_42,X_42)),X_42),X_41),meet(X_41,join(X_42,join(X_42,X_42))))) ),[1,0],$fot(meet(join(join(X_42,X_42),X_42),X_41))]]) ).
cnf(refute_0_258,plain,
( meet(join(meet(join(X_42,X_42),join(X_42,X_42)),X_42),X_41) != meet(join(join(X_42,X_42),X_42),X_41)
| meet(meet(join(meet(join(X_42,X_42),join(X_42,X_42)),X_42),X_41),meet(X_41,join(X_42,join(X_42,X_42)))) = meet(meet(join(join(X_42,X_42),X_42),X_41),meet(X_41,join(X_42,join(X_42,X_42)))) ),
inference(resolve,[$cnf( $equal(meet(meet(join(meet(join(X_42,X_42),join(X_42,X_42)),X_42),X_41),meet(X_41,join(X_42,join(X_42,X_42)))),meet(meet(join(meet(join(X_42,X_42),join(X_42,X_42)),X_42),X_41),meet(X_41,join(X_42,join(X_42,X_42))))) )],[refute_0_256,refute_0_257]) ).
cnf(refute_0_259,plain,
meet(meet(join(meet(join(X_42,X_42),join(X_42,X_42)),X_42),X_41),meet(X_41,join(X_42,join(X_42,X_42)))) = meet(meet(join(join(X_42,X_42),X_42),X_41),meet(X_41,join(X_42,join(X_42,X_42)))),
inference(resolve,[$cnf( $equal(meet(join(meet(join(X_42,X_42),join(X_42,X_42)),X_42),X_41),meet(join(join(X_42,X_42),X_42),X_41)) )],[refute_0_255,refute_0_258]) ).
cnf(refute_0_260,plain,
( meet(meet(join(join(X_42,X_42),X_42),X_41),meet(X_41,join(X_42,join(X_42,X_42)))) != meet(meet(join(join(X_42,X_42),X_42),X_41),meet(X_41,join(X_42,X_42)))
| meet(meet(join(meet(join(X_42,X_42),join(X_42,X_42)),X_42),X_41),meet(X_41,join(X_42,join(X_42,X_42)))) != meet(meet(join(join(X_42,X_42),X_42),X_41),meet(X_41,join(X_42,join(X_42,X_42))))
| meet(meet(join(meet(join(X_42,X_42),join(X_42,X_42)),X_42),X_41),meet(X_41,join(X_42,join(X_42,X_42)))) = meet(meet(join(join(X_42,X_42),X_42),X_41),meet(X_41,join(X_42,X_42))) ),
inference(subst,[],[refute_0_84:[bind(X0,$fot(meet(meet(join(meet(join(X_42,X_42),join(X_42,X_42)),X_42),X_41),meet(X_41,join(X_42,join(X_42,X_42)))))),bind(Y0,$fot(meet(meet(join(join(X_42,X_42),X_42),X_41),meet(X_41,join(X_42,join(X_42,X_42)))))),bind(Z0,$fot(meet(meet(join(join(X_42,X_42),X_42),X_41),meet(X_41,join(X_42,X_42)))))]]) ).
cnf(refute_0_261,plain,
( meet(meet(join(join(X_42,X_42),X_42),X_41),meet(X_41,join(X_42,join(X_42,X_42)))) != meet(meet(join(join(X_42,X_42),X_42),X_41),meet(X_41,join(X_42,X_42)))
| meet(meet(join(meet(join(X_42,X_42),join(X_42,X_42)),X_42),X_41),meet(X_41,join(X_42,join(X_42,X_42)))) = meet(meet(join(join(X_42,X_42),X_42),X_41),meet(X_41,join(X_42,X_42))) ),
inference(resolve,[$cnf( $equal(meet(meet(join(meet(join(X_42,X_42),join(X_42,X_42)),X_42),X_41),meet(X_41,join(X_42,join(X_42,X_42)))),meet(meet(join(join(X_42,X_42),X_42),X_41),meet(X_41,join(X_42,join(X_42,X_42))))) )],[refute_0_259,refute_0_260]) ).
cnf(refute_0_262,plain,
meet(meet(join(meet(join(X_42,X_42),join(X_42,X_42)),X_42),X_41),meet(X_41,join(X_42,join(X_42,X_42)))) = meet(meet(join(join(X_42,X_42),X_42),X_41),meet(X_41,join(X_42,X_42))),
inference(resolve,[$cnf( $equal(meet(meet(join(join(X_42,X_42),X_42),X_41),meet(X_41,join(X_42,join(X_42,X_42)))),meet(meet(join(join(X_42,X_42),X_42),X_41),meet(X_41,join(X_42,X_42)))) )],[refute_0_238,refute_0_261]) ).
cnf(refute_0_263,plain,
( meet(meet(join(join(X_42,X_42),X_42),X_41),meet(X_41,join(X_42,X_42))) != meet(join(join(X_42,X_42),X_42),X_41)
| meet(meet(join(meet(join(X_42,X_42),join(X_42,X_42)),X_42),X_41),meet(X_41,join(X_42,join(X_42,X_42)))) != meet(meet(join(join(X_42,X_42),X_42),X_41),meet(X_41,join(X_42,X_42)))
| meet(meet(join(meet(join(X_42,X_42),join(X_42,X_42)),X_42),X_41),meet(X_41,join(X_42,join(X_42,X_42)))) = meet(join(join(X_42,X_42),X_42),X_41) ),
inference(subst,[],[refute_0_84:[bind(X0,$fot(meet(meet(join(meet(join(X_42,X_42),join(X_42,X_42)),X_42),X_41),meet(X_41,join(X_42,join(X_42,X_42)))))),bind(Y0,$fot(meet(meet(join(join(X_42,X_42),X_42),X_41),meet(X_41,join(X_42,X_42))))),bind(Z0,$fot(meet(join(join(X_42,X_42),X_42),X_41)))]]) ).
cnf(refute_0_264,plain,
( meet(meet(join(join(X_42,X_42),X_42),X_41),meet(X_41,join(X_42,X_42))) != meet(join(join(X_42,X_42),X_42),X_41)
| meet(meet(join(meet(join(X_42,X_42),join(X_42,X_42)),X_42),X_41),meet(X_41,join(X_42,join(X_42,X_42)))) = meet(join(join(X_42,X_42),X_42),X_41) ),
inference(resolve,[$cnf( $equal(meet(meet(join(meet(join(X_42,X_42),join(X_42,X_42)),X_42),X_41),meet(X_41,join(X_42,join(X_42,X_42)))),meet(meet(join(join(X_42,X_42),X_42),X_41),meet(X_41,join(X_42,X_42)))) )],[refute_0_262,refute_0_263]) ).
cnf(refute_0_265,plain,
meet(meet(join(meet(join(X_42,X_42),join(X_42,X_42)),X_42),X_41),meet(X_41,join(X_42,join(X_42,X_42)))) = meet(join(join(X_42,X_42),X_42),X_41),
inference(resolve,[$cnf( $equal(meet(meet(join(join(X_42,X_42),X_42),X_41),meet(X_41,join(X_42,X_42))),meet(join(join(X_42,X_42),X_42),X_41)) )],[refute_0_230,refute_0_264]) ).
cnf(refute_0_266,plain,
( meet(meet(join(meet(join(X_42,X_42),join(X_42,X_42)),X_42),X_41),meet(X_41,join(X_42,join(X_42,X_42)))) != meet(join(join(X_42,X_42),X_42),X_41)
| meet(meet(join(meet(join(X_42,X_42),join(X_42,X_42)),X_42),X_41),meet(X_41,join(X_42,join(X_42,X_42)))) != meet(join(meet(join(X_42,X_42),join(X_42,join(X_42,X_42))),X_42),X_41)
| meet(join(join(X_42,X_42),X_42),X_41) = meet(join(meet(join(X_42,X_42),join(X_42,join(X_42,X_42))),X_42),X_41) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(join(meet(join(X_42,X_42),join(X_42,X_42)),X_42),X_41),meet(X_41,join(X_42,join(X_42,X_42)))),meet(join(meet(join(X_42,X_42),join(X_42,join(X_42,X_42))),X_42),X_41)) ),[0],$fot(meet(join(join(X_42,X_42),X_42),X_41))]]) ).
cnf(refute_0_267,plain,
( meet(meet(join(meet(join(X_42,X_42),join(X_42,X_42)),X_42),X_41),meet(X_41,join(X_42,join(X_42,X_42)))) != meet(join(meet(join(X_42,X_42),join(X_42,join(X_42,X_42))),X_42),X_41)
| meet(join(join(X_42,X_42),X_42),X_41) = meet(join(meet(join(X_42,X_42),join(X_42,join(X_42,X_42))),X_42),X_41) ),
inference(resolve,[$cnf( $equal(meet(meet(join(meet(join(X_42,X_42),join(X_42,X_42)),X_42),X_41),meet(X_41,join(X_42,join(X_42,X_42)))),meet(join(join(X_42,X_42),X_42),X_41)) )],[refute_0_265,refute_0_266]) ).
cnf(refute_0_268,plain,
meet(join(meet(join(join(X_21,X_21),X_21),join(X_21,X_21)),X_21),join(X_21,X_21)) = join(meet(join(join(X_21,X_21),X_21),join(X_21,X_21)),X_21),
inference(subst,[],[refute_0_145:[bind(Y,$fot(join(join(X_21,X_21),X_21)))]]) ).
cnf(refute_0_269,plain,
meet(join(join(X_21,X_21),X_21),join(X_21,X_21)) = join(join(X_21,X_21),X_21),
inference(subst,[],[refute_0_176:[bind(X_28,$fot(X_21))]]) ).
cnf(refute_0_270,plain,
( meet(join(join(X_21,X_21),X_21),join(X_21,X_21)) != join(join(X_21,X_21),X_21)
| meet(join(meet(join(join(X_21,X_21),X_21),join(X_21,X_21)),X_21),join(X_21,X_21)) != join(meet(join(join(X_21,X_21),X_21),join(X_21,X_21)),X_21)
| meet(join(meet(join(join(X_21,X_21),X_21),join(X_21,X_21)),X_21),join(X_21,X_21)) = join(join(join(X_21,X_21),X_21),X_21) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(meet(join(join(X_21,X_21),X_21),join(X_21,X_21)),X_21),join(X_21,X_21)),join(meet(join(join(X_21,X_21),X_21),join(X_21,X_21)),X_21)) ),[1,0],$fot(join(join(X_21,X_21),X_21))]]) ).
cnf(refute_0_271,plain,
( meet(join(meet(join(join(X_21,X_21),X_21),join(X_21,X_21)),X_21),join(X_21,X_21)) != join(meet(join(join(X_21,X_21),X_21),join(X_21,X_21)),X_21)
| meet(join(meet(join(join(X_21,X_21),X_21),join(X_21,X_21)),X_21),join(X_21,X_21)) = join(join(join(X_21,X_21),X_21),X_21) ),
inference(resolve,[$cnf( $equal(meet(join(join(X_21,X_21),X_21),join(X_21,X_21)),join(join(X_21,X_21),X_21)) )],[refute_0_269,refute_0_270]) ).
cnf(refute_0_272,plain,
meet(join(meet(join(join(X_21,X_21),X_21),join(X_21,X_21)),X_21),join(X_21,X_21)) = join(join(join(X_21,X_21),X_21),X_21),
inference(resolve,[$cnf( $equal(meet(join(meet(join(join(X_21,X_21),X_21),join(X_21,X_21)),X_21),join(X_21,X_21)),join(meet(join(join(X_21,X_21),X_21),join(X_21,X_21)),X_21)) )],[refute_0_268,refute_0_271]) ).
cnf(refute_0_273,plain,
meet(join(X_3,Y),join(X_3,join(join(X_3,X_3),X_3))) = join(meet(join(join(X_3,X_3),X_3),join(X_3,Y)),X_3),
inference(subst,[],[refute_0_15:[bind(X_4,$fot(join(join(X_3,X_3),X_3)))]]) ).
cnf(refute_0_274,plain,
( join(X_3,join(join(X_3,X_3),X_3)) != join(X_3,X_3)
| meet(join(X_3,Y),join(X_3,join(join(X_3,X_3),X_3))) != join(meet(join(join(X_3,X_3),X_3),join(X_3,Y)),X_3)
| meet(join(X_3,Y),join(X_3,X_3)) = join(meet(join(join(X_3,X_3),X_3),join(X_3,Y)),X_3) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_3,Y),join(X_3,join(join(X_3,X_3),X_3))),join(meet(join(join(X_3,X_3),X_3),join(X_3,Y)),X_3)) ),[0,1],$fot(join(X_3,X_3))]]) ).
cnf(refute_0_275,plain,
( meet(join(X_3,Y),join(X_3,join(join(X_3,X_3),X_3))) != join(meet(join(join(X_3,X_3),X_3),join(X_3,Y)),X_3)
| meet(join(X_3,Y),join(X_3,X_3)) = join(meet(join(join(X_3,X_3),X_3),join(X_3,Y)),X_3) ),
inference(resolve,[$cnf( $equal(join(X_3,join(join(X_3,X_3),X_3)),join(X_3,X_3)) )],[refute_0_226,refute_0_274]) ).
cnf(refute_0_276,plain,
meet(join(X_3,Y),join(X_3,X_3)) = join(meet(join(join(X_3,X_3),X_3),join(X_3,Y)),X_3),
inference(resolve,[$cnf( $equal(meet(join(X_3,Y),join(X_3,join(join(X_3,X_3),X_3))),join(meet(join(join(X_3,X_3),X_3),join(X_3,Y)),X_3)) )],[refute_0_273,refute_0_275]) ).
cnf(refute_0_277,plain,
join(X_3,meet(X_3,join(X_3,Y))) = join(X_3,meet(X_3,join(X_3,Y))),
introduced(tautology,[refl,[$fot(join(X_3,meet(X_3,join(X_3,Y))))]]) ).
cnf(refute_0_278,plain,
( join(X_3,meet(X_3,join(X_3,Y))) != join(X_3,meet(X_3,join(X_3,Y)))
| meet(X_3,join(X_3,Y)) != X_3
| join(X_3,meet(X_3,join(X_3,Y))) = join(X_3,X_3) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_3,meet(X_3,join(X_3,Y))),join(X_3,meet(X_3,join(X_3,Y)))) ),[1,1],$fot(X_3)]]) ).
cnf(refute_0_279,plain,
( meet(X_3,join(X_3,Y)) != X_3
| join(X_3,meet(X_3,join(X_3,Y))) = join(X_3,X_3) ),
inference(resolve,[$cnf( $equal(join(X_3,meet(X_3,join(X_3,Y))),join(X_3,meet(X_3,join(X_3,Y)))) )],[refute_0_277,refute_0_278]) ).
cnf(refute_0_280,plain,
join(X_3,meet(X_3,join(X_3,Y))) = join(X_3,X_3),
inference(resolve,[$cnf( $equal(meet(X_3,join(X_3,Y)),X_3) )],[refute_0_12,refute_0_279]) ).
cnf(refute_0_281,plain,
meet(join(X_3,Y),join(X_3,X_3)) = join(X_3,meet(X_3,join(X_3,Y))),
inference(subst,[],[refute_0_5:[bind(X_4,$fot(X_3))]]) ).
cnf(refute_0_282,plain,
( join(X_3,meet(X_3,join(X_3,Y))) != join(X_3,X_3)
| meet(join(X_3,Y),join(X_3,X_3)) != join(X_3,meet(X_3,join(X_3,Y)))
| meet(join(X_3,Y),join(X_3,X_3)) = join(X_3,X_3) ),
inference(subst,[],[refute_0_84:[bind(X0,$fot(meet(join(X_3,Y),join(X_3,X_3)))),bind(Y0,$fot(join(X_3,meet(X_3,join(X_3,Y))))),bind(Z0,$fot(join(X_3,X_3)))]]) ).
cnf(refute_0_283,plain,
( join(X_3,meet(X_3,join(X_3,Y))) != join(X_3,X_3)
| meet(join(X_3,Y),join(X_3,X_3)) = join(X_3,X_3) ),
inference(resolve,[$cnf( $equal(meet(join(X_3,Y),join(X_3,X_3)),join(X_3,meet(X_3,join(X_3,Y)))) )],[refute_0_281,refute_0_282]) ).
cnf(refute_0_284,plain,
meet(join(X_3,Y),join(X_3,X_3)) = join(X_3,X_3),
inference(resolve,[$cnf( $equal(join(X_3,meet(X_3,join(X_3,Y))),join(X_3,X_3)) )],[refute_0_280,refute_0_283]) ).
cnf(refute_0_285,plain,
( meet(join(X_3,Y),join(X_3,X_3)) != join(X_3,X_3)
| meet(join(X_3,Y),join(X_3,X_3)) != join(meet(join(join(X_3,X_3),X_3),join(X_3,Y)),X_3)
| join(X_3,X_3) = join(meet(join(join(X_3,X_3),X_3),join(X_3,Y)),X_3) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_3,Y),join(X_3,X_3)),join(meet(join(join(X_3,X_3),X_3),join(X_3,Y)),X_3)) ),[0],$fot(join(X_3,X_3))]]) ).
cnf(refute_0_286,plain,
( meet(join(X_3,Y),join(X_3,X_3)) != join(meet(join(join(X_3,X_3),X_3),join(X_3,Y)),X_3)
| join(X_3,X_3) = join(meet(join(join(X_3,X_3),X_3),join(X_3,Y)),X_3) ),
inference(resolve,[$cnf( $equal(meet(join(X_3,Y),join(X_3,X_3)),join(X_3,X_3)) )],[refute_0_284,refute_0_285]) ).
cnf(refute_0_287,plain,
join(X_3,X_3) = join(meet(join(join(X_3,X_3),X_3),join(X_3,Y)),X_3),
inference(resolve,[$cnf( $equal(meet(join(X_3,Y),join(X_3,X_3)),join(meet(join(join(X_3,X_3),X_3),join(X_3,Y)),X_3)) )],[refute_0_276,refute_0_286]) ).
cnf(refute_0_288,plain,
( join(X_3,X_3) != join(meet(join(join(X_3,X_3),X_3),join(X_3,Y)),X_3)
| join(meet(join(join(X_3,X_3),X_3),join(X_3,Y)),X_3) = join(X_3,X_3) ),
inference(subst,[],[refute_0_24:[bind(X0,$fot(join(X_3,X_3))),bind(Y0,$fot(join(meet(join(join(X_3,X_3),X_3),join(X_3,Y)),X_3)))]]) ).
cnf(refute_0_289,plain,
join(meet(join(join(X_3,X_3),X_3),join(X_3,Y)),X_3) = join(X_3,X_3),
inference(resolve,[$cnf( $equal(join(X_3,X_3),join(meet(join(join(X_3,X_3),X_3),join(X_3,Y)),X_3)) )],[refute_0_287,refute_0_288]) ).
cnf(refute_0_290,plain,
join(meet(join(join(X_21,X_21),X_21),join(X_21,X_21)),X_21) = join(X_21,X_21),
inference(subst,[],[refute_0_289:[bind(Y,$fot(X_21)),bind(X_3,$fot(X_21))]]) ).
cnf(refute_0_291,plain,
( join(meet(join(join(X_21,X_21),X_21),join(X_21,X_21)),X_21) != join(X_21,X_21)
| meet(join(meet(join(join(X_21,X_21),X_21),join(X_21,X_21)),X_21),join(X_21,X_21)) != join(meet(join(join(X_21,X_21),X_21),join(X_21,X_21)),X_21)
| meet(join(meet(join(join(X_21,X_21),X_21),join(X_21,X_21)),X_21),join(X_21,X_21)) = join(X_21,X_21) ),
inference(subst,[],[refute_0_84:[bind(X0,$fot(meet(join(meet(join(join(X_21,X_21),X_21),join(X_21,X_21)),X_21),join(X_21,X_21)))),bind(Y0,$fot(join(meet(join(join(X_21,X_21),X_21),join(X_21,X_21)),X_21))),bind(Z0,$fot(join(X_21,X_21)))]]) ).
cnf(refute_0_292,plain,
( join(meet(join(join(X_21,X_21),X_21),join(X_21,X_21)),X_21) != join(X_21,X_21)
| meet(join(meet(join(join(X_21,X_21),X_21),join(X_21,X_21)),X_21),join(X_21,X_21)) = join(X_21,X_21) ),
inference(resolve,[$cnf( $equal(meet(join(meet(join(join(X_21,X_21),X_21),join(X_21,X_21)),X_21),join(X_21,X_21)),join(meet(join(join(X_21,X_21),X_21),join(X_21,X_21)),X_21)) )],[refute_0_268,refute_0_291]) ).
cnf(refute_0_293,plain,
meet(join(meet(join(join(X_21,X_21),X_21),join(X_21,X_21)),X_21),join(X_21,X_21)) = join(X_21,X_21),
inference(resolve,[$cnf( $equal(join(meet(join(join(X_21,X_21),X_21),join(X_21,X_21)),X_21),join(X_21,X_21)) )],[refute_0_290,refute_0_292]) ).
cnf(refute_0_294,plain,
( meet(join(meet(join(join(X_21,X_21),X_21),join(X_21,X_21)),X_21),join(X_21,X_21)) != join(X_21,X_21)
| meet(join(meet(join(join(X_21,X_21),X_21),join(X_21,X_21)),X_21),join(X_21,X_21)) != join(join(join(X_21,X_21),X_21),X_21)
| join(X_21,X_21) = join(join(join(X_21,X_21),X_21),X_21) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(meet(join(join(X_21,X_21),X_21),join(X_21,X_21)),X_21),join(X_21,X_21)),join(join(join(X_21,X_21),X_21),X_21)) ),[0],$fot(join(X_21,X_21))]]) ).
cnf(refute_0_295,plain,
( meet(join(meet(join(join(X_21,X_21),X_21),join(X_21,X_21)),X_21),join(X_21,X_21)) != join(join(join(X_21,X_21),X_21),X_21)
| join(X_21,X_21) = join(join(join(X_21,X_21),X_21),X_21) ),
inference(resolve,[$cnf( $equal(meet(join(meet(join(join(X_21,X_21),X_21),join(X_21,X_21)),X_21),join(X_21,X_21)),join(X_21,X_21)) )],[refute_0_293,refute_0_294]) ).
cnf(refute_0_296,plain,
join(X_21,X_21) = join(join(join(X_21,X_21),X_21),X_21),
inference(resolve,[$cnf( $equal(meet(join(meet(join(join(X_21,X_21),X_21),join(X_21,X_21)),X_21),join(X_21,X_21)),join(join(join(X_21,X_21),X_21),X_21)) )],[refute_0_272,refute_0_295]) ).
cnf(refute_0_297,plain,
( join(X_21,X_21) != join(join(join(X_21,X_21),X_21),X_21)
| join(join(join(X_21,X_21),X_21),X_21) = join(X_21,X_21) ),
inference(subst,[],[refute_0_24:[bind(X0,$fot(join(X_21,X_21))),bind(Y0,$fot(join(join(join(X_21,X_21),X_21),X_21)))]]) ).
cnf(refute_0_298,plain,
join(join(join(X_21,X_21),X_21),X_21) = join(X_21,X_21),
inference(resolve,[$cnf( $equal(join(X_21,X_21),join(join(join(X_21,X_21),X_21),X_21)) )],[refute_0_296,refute_0_297]) ).
cnf(refute_0_299,plain,
join(join(join(X_42,X_42),X_42),X_42) = join(X_42,X_42),
inference(subst,[],[refute_0_298:[bind(X_21,$fot(X_42))]]) ).
cnf(refute_0_300,plain,
meet(join(X_42,X_42),join(X_42,join(X_42,X_42))) = join(meet(join(X_42,X_42),join(X_42,X_42)),X_42),
inference(subst,[],[refute_0_15:[bind(Y,$fot(X_42)),bind(X_3,$fot(X_42)),bind(X_4,$fot(join(X_42,X_42)))]]) ).
cnf(refute_0_301,plain,
( join(meet(join(X_42,X_42),join(X_42,X_42)),X_42) != join(join(X_42,X_42),X_42)
| meet(join(X_42,X_42),join(X_42,join(X_42,X_42))) != join(meet(join(X_42,X_42),join(X_42,X_42)),X_42)
| meet(join(X_42,X_42),join(X_42,join(X_42,X_42))) = join(join(X_42,X_42),X_42) ),
inference(subst,[],[refute_0_84:[bind(X0,$fot(meet(join(X_42,X_42),join(X_42,join(X_42,X_42))))),bind(Y0,$fot(join(meet(join(X_42,X_42),join(X_42,X_42)),X_42))),bind(Z0,$fot(join(join(X_42,X_42),X_42)))]]) ).
cnf(refute_0_302,plain,
( join(meet(join(X_42,X_42),join(X_42,X_42)),X_42) != join(join(X_42,X_42),X_42)
| meet(join(X_42,X_42),join(X_42,join(X_42,X_42))) = join(join(X_42,X_42),X_42) ),
inference(resolve,[$cnf( $equal(meet(join(X_42,X_42),join(X_42,join(X_42,X_42))),join(meet(join(X_42,X_42),join(X_42,X_42)),X_42)) )],[refute_0_300,refute_0_301]) ).
cnf(refute_0_303,plain,
meet(join(X_42,X_42),join(X_42,join(X_42,X_42))) = join(join(X_42,X_42),X_42),
inference(resolve,[$cnf( $equal(join(meet(join(X_42,X_42),join(X_42,X_42)),X_42),join(join(X_42,X_42),X_42)) )],[refute_0_251,refute_0_302]) ).
cnf(refute_0_304,plain,
join(meet(join(X_42,X_42),join(X_42,join(X_42,X_42))),X_42) = join(meet(join(X_42,X_42),join(X_42,join(X_42,X_42))),X_42),
introduced(tautology,[refl,[$fot(join(meet(join(X_42,X_42),join(X_42,join(X_42,X_42))),X_42))]]) ).
cnf(refute_0_305,plain,
( join(meet(join(X_42,X_42),join(X_42,join(X_42,X_42))),X_42) != join(meet(join(X_42,X_42),join(X_42,join(X_42,X_42))),X_42)
| meet(join(X_42,X_42),join(X_42,join(X_42,X_42))) != join(join(X_42,X_42),X_42)
| join(meet(join(X_42,X_42),join(X_42,join(X_42,X_42))),X_42) = join(join(join(X_42,X_42),X_42),X_42) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(join(X_42,X_42),join(X_42,join(X_42,X_42))),X_42),join(meet(join(X_42,X_42),join(X_42,join(X_42,X_42))),X_42)) ),[1,0],$fot(join(join(X_42,X_42),X_42))]]) ).
cnf(refute_0_306,plain,
( meet(join(X_42,X_42),join(X_42,join(X_42,X_42))) != join(join(X_42,X_42),X_42)
| join(meet(join(X_42,X_42),join(X_42,join(X_42,X_42))),X_42) = join(join(join(X_42,X_42),X_42),X_42) ),
inference(resolve,[$cnf( $equal(join(meet(join(X_42,X_42),join(X_42,join(X_42,X_42))),X_42),join(meet(join(X_42,X_42),join(X_42,join(X_42,X_42))),X_42)) )],[refute_0_304,refute_0_305]) ).
cnf(refute_0_307,plain,
join(meet(join(X_42,X_42),join(X_42,join(X_42,X_42))),X_42) = join(join(join(X_42,X_42),X_42),X_42),
inference(resolve,[$cnf( $equal(meet(join(X_42,X_42),join(X_42,join(X_42,X_42))),join(join(X_42,X_42),X_42)) )],[refute_0_303,refute_0_306]) ).
cnf(refute_0_308,plain,
( join(join(join(X_42,X_42),X_42),X_42) != join(X_42,X_42)
| join(meet(join(X_42,X_42),join(X_42,join(X_42,X_42))),X_42) != join(join(join(X_42,X_42),X_42),X_42)
| join(meet(join(X_42,X_42),join(X_42,join(X_42,X_42))),X_42) = join(X_42,X_42) ),
inference(subst,[],[refute_0_84:[bind(X0,$fot(join(meet(join(X_42,X_42),join(X_42,join(X_42,X_42))),X_42))),bind(Y0,$fot(join(join(join(X_42,X_42),X_42),X_42))),bind(Z0,$fot(join(X_42,X_42)))]]) ).
cnf(refute_0_309,plain,
( join(join(join(X_42,X_42),X_42),X_42) != join(X_42,X_42)
| join(meet(join(X_42,X_42),join(X_42,join(X_42,X_42))),X_42) = join(X_42,X_42) ),
inference(resolve,[$cnf( $equal(join(meet(join(X_42,X_42),join(X_42,join(X_42,X_42))),X_42),join(join(join(X_42,X_42),X_42),X_42)) )],[refute_0_307,refute_0_308]) ).
cnf(refute_0_310,plain,
join(meet(join(X_42,X_42),join(X_42,join(X_42,X_42))),X_42) = join(X_42,X_42),
inference(resolve,[$cnf( $equal(join(join(join(X_42,X_42),X_42),X_42),join(X_42,X_42)) )],[refute_0_299,refute_0_309]) ).
cnf(refute_0_311,plain,
meet(join(meet(join(X_42,X_42),join(X_42,join(X_42,X_42))),X_42),X_41) = meet(join(meet(join(X_42,X_42),join(X_42,join(X_42,X_42))),X_42),X_41),
introduced(tautology,[refl,[$fot(meet(join(meet(join(X_42,X_42),join(X_42,join(X_42,X_42))),X_42),X_41))]]) ).
cnf(refute_0_312,plain,
( join(meet(join(X_42,X_42),join(X_42,join(X_42,X_42))),X_42) != join(X_42,X_42)
| meet(join(meet(join(X_42,X_42),join(X_42,join(X_42,X_42))),X_42),X_41) != meet(join(meet(join(X_42,X_42),join(X_42,join(X_42,X_42))),X_42),X_41)
| meet(join(meet(join(X_42,X_42),join(X_42,join(X_42,X_42))),X_42),X_41) = meet(join(X_42,X_42),X_41) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(meet(join(X_42,X_42),join(X_42,join(X_42,X_42))),X_42),X_41),meet(join(meet(join(X_42,X_42),join(X_42,join(X_42,X_42))),X_42),X_41)) ),[1,0],$fot(join(X_42,X_42))]]) ).
cnf(refute_0_313,plain,
( join(meet(join(X_42,X_42),join(X_42,join(X_42,X_42))),X_42) != join(X_42,X_42)
| meet(join(meet(join(X_42,X_42),join(X_42,join(X_42,X_42))),X_42),X_41) = meet(join(X_42,X_42),X_41) ),
inference(resolve,[$cnf( $equal(meet(join(meet(join(X_42,X_42),join(X_42,join(X_42,X_42))),X_42),X_41),meet(join(meet(join(X_42,X_42),join(X_42,join(X_42,X_42))),X_42),X_41)) )],[refute_0_311,refute_0_312]) ).
cnf(refute_0_314,plain,
meet(join(meet(join(X_42,X_42),join(X_42,join(X_42,X_42))),X_42),X_41) = meet(join(X_42,X_42),X_41),
inference(resolve,[$cnf( $equal(join(meet(join(X_42,X_42),join(X_42,join(X_42,X_42))),X_42),join(X_42,X_42)) )],[refute_0_310,refute_0_313]) ).
cnf(refute_0_315,plain,
( meet(join(join(X_42,X_42),X_42),X_41) != meet(join(meet(join(X_42,X_42),join(X_42,join(X_42,X_42))),X_42),X_41)
| meet(join(meet(join(X_42,X_42),join(X_42,join(X_42,X_42))),X_42),X_41) != meet(join(X_42,X_42),X_41)
| meet(join(join(X_42,X_42),X_42),X_41) = meet(join(X_42,X_42),X_41) ),
introduced(tautology,[equality,[$cnf( ~ $equal(meet(join(join(X_42,X_42),X_42),X_41),meet(join(X_42,X_42),X_41)) ),[0],$fot(meet(join(meet(join(X_42,X_42),join(X_42,join(X_42,X_42))),X_42),X_41))]]) ).
cnf(refute_0_316,plain,
( meet(join(join(X_42,X_42),X_42),X_41) != meet(join(meet(join(X_42,X_42),join(X_42,join(X_42,X_42))),X_42),X_41)
| meet(join(join(X_42,X_42),X_42),X_41) = meet(join(X_42,X_42),X_41) ),
inference(resolve,[$cnf( $equal(meet(join(meet(join(X_42,X_42),join(X_42,join(X_42,X_42))),X_42),X_41),meet(join(X_42,X_42),X_41)) )],[refute_0_314,refute_0_315]) ).
cnf(refute_0_317,plain,
( meet(meet(join(meet(join(X_42,X_42),join(X_42,X_42)),X_42),X_41),meet(X_41,join(X_42,join(X_42,X_42)))) != meet(join(meet(join(X_42,X_42),join(X_42,join(X_42,X_42))),X_42),X_41)
| meet(join(join(X_42,X_42),X_42),X_41) = meet(join(X_42,X_42),X_41) ),
inference(resolve,[$cnf( $equal(meet(join(join(X_42,X_42),X_42),X_41),meet(join(meet(join(X_42,X_42),join(X_42,join(X_42,X_42))),X_42),X_41)) )],[refute_0_267,refute_0_316]) ).
cnf(refute_0_318,plain,
meet(join(join(X_42,X_42),X_42),X_41) = meet(join(X_42,X_42),X_41),
inference(resolve,[$cnf( $equal(meet(meet(join(meet(join(X_42,X_42),join(X_42,X_42)),X_42),X_41),meet(X_41,join(X_42,join(X_42,X_42)))),meet(join(meet(join(X_42,X_42),join(X_42,join(X_42,X_42))),X_42),X_41)) )],[refute_0_196,refute_0_317]) ).
cnf(refute_0_319,plain,
meet(join(join(X_28,X_28),X_28),join(X_28,X_28)) = meet(join(X_28,X_28),join(X_28,X_28)),
inference(subst,[],[refute_0_318:[bind(X_41,$fot(join(X_28,X_28))),bind(X_42,$fot(X_28))]]) ).
cnf(refute_0_320,plain,
( meet(join(X_28,X_28),join(X_28,X_28)) != join(X_28,meet(X_28,join(X_28,X_28)))
| meet(join(join(X_28,X_28),X_28),join(X_28,X_28)) != meet(join(X_28,X_28),join(X_28,X_28))
| meet(join(join(X_28,X_28),X_28),join(X_28,X_28)) = join(X_28,meet(X_28,join(X_28,X_28))) ),
inference(subst,[],[refute_0_84:[bind(X0,$fot(meet(join(join(X_28,X_28),X_28),join(X_28,X_28)))),bind(Y0,$fot(meet(join(X_28,X_28),join(X_28,X_28)))),bind(Z0,$fot(join(X_28,meet(X_28,join(X_28,X_28)))))]]) ).
cnf(refute_0_321,plain,
( meet(join(X_28,X_28),join(X_28,X_28)) != join(X_28,meet(X_28,join(X_28,X_28)))
| meet(join(join(X_28,X_28),X_28),join(X_28,X_28)) = join(X_28,meet(X_28,join(X_28,X_28))) ),
inference(resolve,[$cnf( $equal(meet(join(join(X_28,X_28),X_28),join(X_28,X_28)),meet(join(X_28,X_28),join(X_28,X_28))) )],[refute_0_319,refute_0_320]) ).
cnf(refute_0_322,plain,
meet(join(join(X_28,X_28),X_28),join(X_28,X_28)) = join(X_28,meet(X_28,join(X_28,X_28))),
inference(resolve,[$cnf( $equal(meet(join(X_28,X_28),join(X_28,X_28)),join(X_28,meet(X_28,join(X_28,X_28)))) )],[refute_0_186,refute_0_321]) ).
cnf(refute_0_323,plain,
( join(X_28,meet(X_28,join(X_28,X_28))) != join(X_28,X_28)
| meet(join(join(X_28,X_28),X_28),join(X_28,X_28)) != join(X_28,meet(X_28,join(X_28,X_28)))
| meet(join(join(X_28,X_28),X_28),join(X_28,X_28)) = join(X_28,X_28) ),
inference(subst,[],[refute_0_84:[bind(X0,$fot(meet(join(join(X_28,X_28),X_28),join(X_28,X_28)))),bind(Y0,$fot(join(X_28,meet(X_28,join(X_28,X_28))))),bind(Z0,$fot(join(X_28,X_28)))]]) ).
cnf(refute_0_324,plain,
( join(X_28,meet(X_28,join(X_28,X_28))) != join(X_28,X_28)
| meet(join(join(X_28,X_28),X_28),join(X_28,X_28)) = join(X_28,X_28) ),
inference(resolve,[$cnf( $equal(meet(join(join(X_28,X_28),X_28),join(X_28,X_28)),join(X_28,meet(X_28,join(X_28,X_28)))) )],[refute_0_322,refute_0_323]) ).
cnf(refute_0_325,plain,
meet(join(join(X_28,X_28),X_28),join(X_28,X_28)) = join(X_28,X_28),
inference(resolve,[$cnf( $equal(join(X_28,meet(X_28,join(X_28,X_28))),join(X_28,X_28)) )],[refute_0_185,refute_0_324]) ).
cnf(refute_0_326,plain,
( meet(join(join(X_28,X_28),X_28),join(X_28,X_28)) != join(X_28,X_28)
| meet(join(join(X_28,X_28),X_28),join(X_28,X_28)) != join(join(X_28,X_28),X_28)
| join(X_28,X_28) = join(join(X_28,X_28),X_28) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(join(X_28,X_28),X_28),join(X_28,X_28)),join(join(X_28,X_28),X_28)) ),[0],$fot(join(X_28,X_28))]]) ).
cnf(refute_0_327,plain,
( meet(join(join(X_28,X_28),X_28),join(X_28,X_28)) != join(join(X_28,X_28),X_28)
| join(X_28,X_28) = join(join(X_28,X_28),X_28) ),
inference(resolve,[$cnf( $equal(meet(join(join(X_28,X_28),X_28),join(X_28,X_28)),join(X_28,X_28)) )],[refute_0_325,refute_0_326]) ).
cnf(refute_0_328,plain,
join(X_28,X_28) = join(join(X_28,X_28),X_28),
inference(resolve,[$cnf( $equal(meet(join(join(X_28,X_28),X_28),join(X_28,X_28)),join(join(X_28,X_28),X_28)) )],[refute_0_176,refute_0_327]) ).
cnf(refute_0_329,plain,
( join(X_28,X_28) != join(join(X_28,X_28),X_28)
| join(join(X_28,X_28),X_28) = join(X_28,X_28) ),
inference(subst,[],[refute_0_24:[bind(X0,$fot(join(X_28,X_28))),bind(Y0,$fot(join(join(X_28,X_28),X_28)))]]) ).
cnf(refute_0_330,plain,
join(join(X_28,X_28),X_28) = join(X_28,X_28),
inference(resolve,[$cnf( $equal(join(X_28,X_28),join(join(X_28,X_28),X_28)) )],[refute_0_328,refute_0_329]) ).
cnf(refute_0_331,plain,
join(join(X_29,X_29),X_29) = join(X_29,X_29),
inference(subst,[],[refute_0_330:[bind(X_28,$fot(X_29))]]) ).
cnf(refute_0_332,plain,
join(Y,join(join(X_29,X_29),X_29)) = join(Y,join(join(X_29,X_29),X_29)),
introduced(tautology,[refl,[$fot(join(Y,join(join(X_29,X_29),X_29)))]]) ).
cnf(refute_0_333,plain,
( join(Y,join(join(X_29,X_29),X_29)) != join(Y,join(join(X_29,X_29),X_29))
| join(join(X_29,X_29),X_29) != join(X_29,X_29)
| join(Y,join(join(X_29,X_29),X_29)) = join(Y,join(X_29,X_29)) ),
introduced(tautology,[equality,[$cnf( $equal(join(Y,join(join(X_29,X_29),X_29)),join(Y,join(join(X_29,X_29),X_29))) ),[1,1],$fot(join(X_29,X_29))]]) ).
cnf(refute_0_334,plain,
( join(join(X_29,X_29),X_29) != join(X_29,X_29)
| join(Y,join(join(X_29,X_29),X_29)) = join(Y,join(X_29,X_29)) ),
inference(resolve,[$cnf( $equal(join(Y,join(join(X_29,X_29),X_29)),join(Y,join(join(X_29,X_29),X_29))) )],[refute_0_332,refute_0_333]) ).
cnf(refute_0_335,plain,
join(Y,join(join(X_29,X_29),X_29)) = join(Y,join(X_29,X_29)),
inference(resolve,[$cnf( $equal(join(join(X_29,X_29),X_29),join(X_29,X_29)) )],[refute_0_331,refute_0_334]) ).
cnf(refute_0_336,plain,
meet(join(X_29,X_29),join(Y,join(join(X_29,X_29),X_29))) = meet(join(X_29,X_29),join(Y,join(join(X_29,X_29),X_29))),
introduced(tautology,[refl,[$fot(meet(join(X_29,X_29),join(Y,join(join(X_29,X_29),X_29))))]]) ).
cnf(refute_0_337,plain,
( join(Y,join(join(X_29,X_29),X_29)) != join(Y,join(X_29,X_29))
| meet(join(X_29,X_29),join(Y,join(join(X_29,X_29),X_29))) != meet(join(X_29,X_29),join(Y,join(join(X_29,X_29),X_29)))
| meet(join(X_29,X_29),join(Y,join(join(X_29,X_29),X_29))) = meet(join(X_29,X_29),join(Y,join(X_29,X_29))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_29,X_29),join(Y,join(join(X_29,X_29),X_29))),meet(join(X_29,X_29),join(Y,join(join(X_29,X_29),X_29)))) ),[1,1],$fot(join(Y,join(X_29,X_29)))]]) ).
cnf(refute_0_338,plain,
( join(Y,join(join(X_29,X_29),X_29)) != join(Y,join(X_29,X_29))
| meet(join(X_29,X_29),join(Y,join(join(X_29,X_29),X_29))) = meet(join(X_29,X_29),join(Y,join(X_29,X_29))) ),
inference(resolve,[$cnf( $equal(meet(join(X_29,X_29),join(Y,join(join(X_29,X_29),X_29))),meet(join(X_29,X_29),join(Y,join(join(X_29,X_29),X_29)))) )],[refute_0_336,refute_0_337]) ).
cnf(refute_0_339,plain,
meet(join(X_29,X_29),join(Y,join(join(X_29,X_29),X_29))) = meet(join(X_29,X_29),join(Y,join(X_29,X_29))),
inference(resolve,[$cnf( $equal(join(Y,join(join(X_29,X_29),X_29)),join(Y,join(X_29,X_29))) )],[refute_0_335,refute_0_338]) ).
cnf(refute_0_340,plain,
( meet(join(X_29,X_29),join(Y,join(join(X_29,X_29),X_29))) != join(join(join(X_29,X_29),X_29),meet(Y,join(X_29,X_29)))
| meet(join(X_29,X_29),join(Y,join(join(X_29,X_29),X_29))) != meet(join(X_29,X_29),join(Y,join(X_29,X_29)))
| meet(join(X_29,X_29),join(Y,join(X_29,X_29))) = join(join(join(X_29,X_29),X_29),meet(Y,join(X_29,X_29))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_29,X_29),join(Y,join(join(X_29,X_29),X_29))),join(join(join(X_29,X_29),X_29),meet(Y,join(X_29,X_29)))) ),[0],$fot(meet(join(X_29,X_29),join(Y,join(X_29,X_29))))]]) ).
cnf(refute_0_341,plain,
( meet(join(X_29,X_29),join(Y,join(join(X_29,X_29),X_29))) != join(join(join(X_29,X_29),X_29),meet(Y,join(X_29,X_29)))
| meet(join(X_29,X_29),join(Y,join(X_29,X_29))) = join(join(join(X_29,X_29),X_29),meet(Y,join(X_29,X_29))) ),
inference(resolve,[$cnf( $equal(meet(join(X_29,X_29),join(Y,join(join(X_29,X_29),X_29))),meet(join(X_29,X_29),join(Y,join(X_29,X_29)))) )],[refute_0_339,refute_0_340]) ).
cnf(refute_0_342,plain,
join(join(join(X_29,X_29),X_29),meet(Y,join(X_29,X_29))) = join(join(join(X_29,X_29),X_29),meet(Y,join(X_29,X_29))),
introduced(tautology,[refl,[$fot(join(join(join(X_29,X_29),X_29),meet(Y,join(X_29,X_29))))]]) ).
cnf(refute_0_343,plain,
( join(join(X_29,X_29),X_29) != join(X_29,X_29)
| join(join(join(X_29,X_29),X_29),meet(Y,join(X_29,X_29))) != join(join(join(X_29,X_29),X_29),meet(Y,join(X_29,X_29)))
| join(join(join(X_29,X_29),X_29),meet(Y,join(X_29,X_29))) = join(join(X_29,X_29),meet(Y,join(X_29,X_29))) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(join(X_29,X_29),X_29),meet(Y,join(X_29,X_29))),join(join(join(X_29,X_29),X_29),meet(Y,join(X_29,X_29)))) ),[1,0],$fot(join(X_29,X_29))]]) ).
cnf(refute_0_344,plain,
( join(join(X_29,X_29),X_29) != join(X_29,X_29)
| join(join(join(X_29,X_29),X_29),meet(Y,join(X_29,X_29))) = join(join(X_29,X_29),meet(Y,join(X_29,X_29))) ),
inference(resolve,[$cnf( $equal(join(join(join(X_29,X_29),X_29),meet(Y,join(X_29,X_29))),join(join(join(X_29,X_29),X_29),meet(Y,join(X_29,X_29)))) )],[refute_0_342,refute_0_343]) ).
cnf(refute_0_345,plain,
join(join(join(X_29,X_29),X_29),meet(Y,join(X_29,X_29))) = join(join(X_29,X_29),meet(Y,join(X_29,X_29))),
inference(resolve,[$cnf( $equal(join(join(X_29,X_29),X_29),join(X_29,X_29)) )],[refute_0_331,refute_0_344]) ).
cnf(refute_0_346,plain,
( join(join(join(X_29,X_29),X_29),meet(Y,join(X_29,X_29))) != join(join(X_29,X_29),meet(Y,join(X_29,X_29)))
| meet(join(X_29,X_29),join(Y,join(X_29,X_29))) != join(join(join(X_29,X_29),X_29),meet(Y,join(X_29,X_29)))
| meet(join(X_29,X_29),join(Y,join(X_29,X_29))) = join(join(X_29,X_29),meet(Y,join(X_29,X_29))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_29,X_29),join(Y,join(X_29,X_29))),join(join(join(X_29,X_29),X_29),meet(Y,join(X_29,X_29)))) ),[1],$fot(join(join(X_29,X_29),meet(Y,join(X_29,X_29))))]]) ).
cnf(refute_0_347,plain,
( meet(join(X_29,X_29),join(Y,join(X_29,X_29))) != join(join(join(X_29,X_29),X_29),meet(Y,join(X_29,X_29)))
| meet(join(X_29,X_29),join(Y,join(X_29,X_29))) = join(join(X_29,X_29),meet(Y,join(X_29,X_29))) ),
inference(resolve,[$cnf( $equal(join(join(join(X_29,X_29),X_29),meet(Y,join(X_29,X_29))),join(join(X_29,X_29),meet(Y,join(X_29,X_29)))) )],[refute_0_345,refute_0_346]) ).
cnf(refute_0_348,plain,
( meet(join(X_29,X_29),join(Y,join(join(X_29,X_29),X_29))) != join(join(join(X_29,X_29),X_29),meet(Y,join(X_29,X_29)))
| meet(join(X_29,X_29),join(Y,join(X_29,X_29))) = join(join(X_29,X_29),meet(Y,join(X_29,X_29))) ),
inference(resolve,[$cnf( $equal(meet(join(X_29,X_29),join(Y,join(X_29,X_29))),join(join(join(X_29,X_29),X_29),meet(Y,join(X_29,X_29)))) )],[refute_0_341,refute_0_347]) ).
cnf(refute_0_349,plain,
meet(join(X_29,X_29),join(Y,join(X_29,X_29))) = join(join(X_29,X_29),meet(Y,join(X_29,X_29))),
inference(resolve,[$cnf( $equal(meet(join(X_29,X_29),join(Y,join(join(X_29,X_29),X_29))),join(join(join(X_29,X_29),X_29),meet(Y,join(X_29,X_29)))) )],[refute_0_180,refute_0_348]) ).
cnf(refute_0_350,plain,
meet(join(Y,Y),join(Y,join(Y,Y))) = join(meet(join(Y,Y),join(Y,Y)),meet(Y,join(Y,Y))),
inference(subst,[],[distribution:[bind(X,$fot(join(Y,Y))),bind(Z,$fot(join(Y,Y)))]]) ).
cnf(refute_0_351,plain,
join(meet(Z,X),meet(Z,X)) = join(join(meet(Z,X),meet(Z,X)),meet(Z,X)),
inference(subst,[],[refute_0_328:[bind(X_28,$fot(meet(Z,X)))]]) ).
cnf(refute_0_352,plain,
meet(X,join(Z,Z)) = join(meet(Z,X),meet(Z,X)),
inference(subst,[],[distribution:[bind(Y,$fot(Z))]]) ).
cnf(refute_0_353,plain,
( meet(X,join(Z,Z)) != join(meet(Z,X),meet(Z,X))
| join(meet(Z,X),meet(Z,X)) = meet(X,join(Z,Z)) ),
inference(subst,[],[refute_0_24:[bind(X0,$fot(meet(X,join(Z,Z)))),bind(Y0,$fot(join(meet(Z,X),meet(Z,X))))]]) ).
cnf(refute_0_354,plain,
join(meet(Z,X),meet(Z,X)) = meet(X,join(Z,Z)),
inference(resolve,[$cnf( $equal(meet(X,join(Z,Z)),join(meet(Z,X),meet(Z,X))) )],[refute_0_352,refute_0_353]) ).
cnf(refute_0_355,plain,
( join(meet(Z,X),meet(Z,X)) != join(join(meet(Z,X),meet(Z,X)),meet(Z,X))
| join(meet(Z,X),meet(Z,X)) != meet(X,join(Z,Z))
| join(meet(Z,X),meet(Z,X)) = join(meet(X,join(Z,Z)),meet(Z,X)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(Z,X),meet(Z,X)),join(join(meet(Z,X),meet(Z,X)),meet(Z,X))) ),[1,0],$fot(meet(X,join(Z,Z)))]]) ).
cnf(refute_0_356,plain,
( join(meet(Z,X),meet(Z,X)) != join(join(meet(Z,X),meet(Z,X)),meet(Z,X))
| join(meet(Z,X),meet(Z,X)) = join(meet(X,join(Z,Z)),meet(Z,X)) ),
inference(resolve,[$cnf( $equal(join(meet(Z,X),meet(Z,X)),meet(X,join(Z,Z))) )],[refute_0_354,refute_0_355]) ).
cnf(refute_0_357,plain,
join(meet(Z,X),meet(Z,X)) = join(meet(X,join(Z,Z)),meet(Z,X)),
inference(resolve,[$cnf( $equal(join(meet(Z,X),meet(Z,X)),join(join(meet(Z,X),meet(Z,X)),meet(Z,X))) )],[refute_0_351,refute_0_356]) ).
cnf(refute_0_358,plain,
( join(meet(Z,X),meet(Z,X)) != join(meet(X,join(Z,Z)),meet(Z,X))
| join(meet(Z,X),meet(Z,X)) != meet(X,join(Z,Z))
| meet(X,join(Z,Z)) = join(meet(X,join(Z,Z)),meet(Z,X)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(Z,X),meet(Z,X)),join(meet(X,join(Z,Z)),meet(Z,X))) ),[0],$fot(meet(X,join(Z,Z)))]]) ).
cnf(refute_0_359,plain,
( join(meet(Z,X),meet(Z,X)) != join(meet(X,join(Z,Z)),meet(Z,X))
| meet(X,join(Z,Z)) = join(meet(X,join(Z,Z)),meet(Z,X)) ),
inference(resolve,[$cnf( $equal(join(meet(Z,X),meet(Z,X)),meet(X,join(Z,Z))) )],[refute_0_354,refute_0_358]) ).
cnf(refute_0_360,plain,
meet(X,join(Z,Z)) = join(meet(X,join(Z,Z)),meet(Z,X)),
inference(resolve,[$cnf( $equal(join(meet(Z,X),meet(Z,X)),join(meet(X,join(Z,Z)),meet(Z,X))) )],[refute_0_357,refute_0_359]) ).
cnf(refute_0_361,plain,
meet(join(Y,Y),join(Y,Y)) = join(meet(join(Y,Y),join(Y,Y)),meet(Y,join(Y,Y))),
inference(subst,[],[refute_0_360:[bind(X,$fot(join(Y,Y))),bind(Z,$fot(Y))]]) ).
cnf(refute_0_362,plain,
( meet(join(Y,Y),join(Y,Y)) != join(meet(join(Y,Y),join(Y,Y)),meet(Y,join(Y,Y)))
| join(meet(join(Y,Y),join(Y,Y)),meet(Y,join(Y,Y))) = meet(join(Y,Y),join(Y,Y)) ),
inference(subst,[],[refute_0_24:[bind(X0,$fot(meet(join(Y,Y),join(Y,Y)))),bind(Y0,$fot(join(meet(join(Y,Y),join(Y,Y)),meet(Y,join(Y,Y)))))]]) ).
cnf(refute_0_363,plain,
join(meet(join(Y,Y),join(Y,Y)),meet(Y,join(Y,Y))) = meet(join(Y,Y),join(Y,Y)),
inference(resolve,[$cnf( $equal(meet(join(Y,Y),join(Y,Y)),join(meet(join(Y,Y),join(Y,Y)),meet(Y,join(Y,Y)))) )],[refute_0_361,refute_0_362]) ).
cnf(refute_0_364,plain,
( join(meet(join(Y,Y),join(Y,Y)),meet(Y,join(Y,Y))) != meet(join(Y,Y),join(Y,Y))
| meet(join(Y,Y),join(Y,join(Y,Y))) != join(meet(join(Y,Y),join(Y,Y)),meet(Y,join(Y,Y)))
| meet(join(Y,Y),join(Y,join(Y,Y))) = meet(join(Y,Y),join(Y,Y)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(Y,Y),join(Y,join(Y,Y))),join(meet(join(Y,Y),join(Y,Y)),meet(Y,join(Y,Y)))) ),[1],$fot(meet(join(Y,Y),join(Y,Y)))]]) ).
cnf(refute_0_365,plain,
( meet(join(Y,Y),join(Y,join(Y,Y))) != join(meet(join(Y,Y),join(Y,Y)),meet(Y,join(Y,Y)))
| meet(join(Y,Y),join(Y,join(Y,Y))) = meet(join(Y,Y),join(Y,Y)) ),
inference(resolve,[$cnf( $equal(join(meet(join(Y,Y),join(Y,Y)),meet(Y,join(Y,Y))),meet(join(Y,Y),join(Y,Y))) )],[refute_0_363,refute_0_364]) ).
cnf(refute_0_366,plain,
meet(join(Y,Y),join(Y,join(Y,Y))) = meet(join(Y,Y),join(Y,Y)),
inference(resolve,[$cnf( $equal(meet(join(Y,Y),join(Y,join(Y,Y))),join(meet(join(Y,Y),join(Y,Y)),meet(Y,join(Y,Y)))) )],[refute_0_350,refute_0_365]) ).
cnf(refute_0_367,plain,
join(join(Y,Y),Y) = join(Y,Y),
inference(subst,[],[refute_0_330:[bind(X_28,$fot(Y))]]) ).
cnf(refute_0_368,plain,
join(join(Y,Y),meet(Y,join(Y,Y))) = join(join(Y,Y),meet(Y,join(Y,Y))),
introduced(tautology,[refl,[$fot(join(join(Y,Y),meet(Y,join(Y,Y))))]]) ).
cnf(refute_0_369,plain,
( join(join(Y,Y),meet(Y,join(Y,Y))) != join(join(Y,Y),meet(Y,join(Y,Y)))
| meet(Y,join(Y,Y)) != Y
| join(join(Y,Y),meet(Y,join(Y,Y))) = join(join(Y,Y),Y) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(Y,Y),meet(Y,join(Y,Y))),join(join(Y,Y),meet(Y,join(Y,Y)))) ),[1,1],$fot(Y)]]) ).
cnf(refute_0_370,plain,
( meet(Y,join(Y,Y)) != Y
| join(join(Y,Y),meet(Y,join(Y,Y))) = join(join(Y,Y),Y) ),
inference(resolve,[$cnf( $equal(join(join(Y,Y),meet(Y,join(Y,Y))),join(join(Y,Y),meet(Y,join(Y,Y)))) )],[refute_0_368,refute_0_369]) ).
cnf(refute_0_371,plain,
join(join(Y,Y),meet(Y,join(Y,Y))) = join(join(Y,Y),Y),
inference(resolve,[$cnf( $equal(meet(Y,join(Y,Y)),Y) )],[refute_0_203,refute_0_370]) ).
cnf(refute_0_372,plain,
( join(join(Y,Y),Y) != join(Y,Y)
| join(join(Y,Y),meet(Y,join(Y,Y))) != join(join(Y,Y),Y)
| join(join(Y,Y),meet(Y,join(Y,Y))) = join(Y,Y) ),
inference(subst,[],[refute_0_84:[bind(X0,$fot(join(join(Y,Y),meet(Y,join(Y,Y))))),bind(Y0,$fot(join(join(Y,Y),Y))),bind(Z0,$fot(join(Y,Y)))]]) ).
cnf(refute_0_373,plain,
( join(join(Y,Y),Y) != join(Y,Y)
| join(join(Y,Y),meet(Y,join(Y,Y))) = join(Y,Y) ),
inference(resolve,[$cnf( $equal(join(join(Y,Y),meet(Y,join(Y,Y))),join(join(Y,Y),Y)) )],[refute_0_371,refute_0_372]) ).
cnf(refute_0_374,plain,
join(join(Y,Y),meet(Y,join(Y,Y))) = join(Y,Y),
inference(resolve,[$cnf( $equal(join(join(Y,Y),Y),join(Y,Y)) )],[refute_0_367,refute_0_373]) ).
cnf(refute_0_375,plain,
meet(join(Y,Y),join(Y,join(Y,Y))) = join(join(Y,Y),meet(Y,join(Y,Y))),
inference(subst,[],[refute_0_349:[bind(X_29,$fot(Y))]]) ).
cnf(refute_0_376,plain,
( join(join(Y,Y),meet(Y,join(Y,Y))) != join(Y,Y)
| meet(join(Y,Y),join(Y,join(Y,Y))) != join(join(Y,Y),meet(Y,join(Y,Y)))
| meet(join(Y,Y),join(Y,join(Y,Y))) = join(Y,Y) ),
inference(subst,[],[refute_0_84:[bind(X0,$fot(meet(join(Y,Y),join(Y,join(Y,Y))))),bind(Y0,$fot(join(join(Y,Y),meet(Y,join(Y,Y))))),bind(Z0,$fot(join(Y,Y)))]]) ).
cnf(refute_0_377,plain,
( join(join(Y,Y),meet(Y,join(Y,Y))) != join(Y,Y)
| meet(join(Y,Y),join(Y,join(Y,Y))) = join(Y,Y) ),
inference(resolve,[$cnf( $equal(meet(join(Y,Y),join(Y,join(Y,Y))),join(join(Y,Y),meet(Y,join(Y,Y)))) )],[refute_0_375,refute_0_376]) ).
cnf(refute_0_378,plain,
meet(join(Y,Y),join(Y,join(Y,Y))) = join(Y,Y),
inference(resolve,[$cnf( $equal(join(join(Y,Y),meet(Y,join(Y,Y))),join(Y,Y)) )],[refute_0_374,refute_0_377]) ).
cnf(refute_0_379,plain,
( meet(join(Y,Y),join(Y,join(Y,Y))) != join(Y,Y)
| meet(join(Y,Y),join(Y,join(Y,Y))) != meet(join(Y,Y),join(Y,Y))
| join(Y,Y) = meet(join(Y,Y),join(Y,Y)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(Y,Y),join(Y,join(Y,Y))),meet(join(Y,Y),join(Y,Y))) ),[0],$fot(join(Y,Y))]]) ).
cnf(refute_0_380,plain,
( meet(join(Y,Y),join(Y,join(Y,Y))) != meet(join(Y,Y),join(Y,Y))
| join(Y,Y) = meet(join(Y,Y),join(Y,Y)) ),
inference(resolve,[$cnf( $equal(meet(join(Y,Y),join(Y,join(Y,Y))),join(Y,Y)) )],[refute_0_378,refute_0_379]) ).
cnf(refute_0_381,plain,
join(join(join(X_8,X_8),X_8),join(meet(X_8,join(join(join(X_8,X_8),X_8),X_8)),join(join(X_8,X_8),X_8))) = join(join(join(X_8,X_8),X_8),X_8),
inference(subst,[],[refute_0_108:[bind(Y,$fot(join(join(X_8,X_8),X_8)))]]) ).
cnf(refute_0_382,plain,
join(X_8,X_8) = join(join(join(X_8,X_8),X_8),X_8),
inference(subst,[],[refute_0_296:[bind(X_21,$fot(X_8))]]) ).
cnf(refute_0_383,plain,
( join(X_8,X_8) != join(join(join(X_8,X_8),X_8),X_8)
| join(join(join(X_8,X_8),X_8),X_8) = join(X_8,X_8) ),
inference(subst,[],[refute_0_24:[bind(X0,$fot(join(X_8,X_8))),bind(Y0,$fot(join(join(join(X_8,X_8),X_8),X_8)))]]) ).
cnf(refute_0_384,plain,
join(join(join(X_8,X_8),X_8),X_8) = join(X_8,X_8),
inference(resolve,[$cnf( $equal(join(X_8,X_8),join(join(join(X_8,X_8),X_8),X_8)) )],[refute_0_382,refute_0_383]) ).
cnf(refute_0_385,plain,
( join(join(join(X_8,X_8),X_8),X_8) != join(X_8,X_8)
| join(join(join(X_8,X_8),X_8),join(meet(X_8,join(join(join(X_8,X_8),X_8),X_8)),join(join(X_8,X_8),X_8))) != join(join(join(X_8,X_8),X_8),X_8)
| join(join(join(X_8,X_8),X_8),join(meet(X_8,join(X_8,X_8)),join(join(X_8,X_8),X_8))) = join(join(join(X_8,X_8),X_8),X_8) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(join(X_8,X_8),X_8),join(meet(X_8,join(join(join(X_8,X_8),X_8),X_8)),join(join(X_8,X_8),X_8))),join(join(join(X_8,X_8),X_8),X_8)) ),[0,1,0,1],$fot(join(X_8,X_8))]]) ).
cnf(refute_0_386,plain,
( join(join(join(X_8,X_8),X_8),join(meet(X_8,join(join(join(X_8,X_8),X_8),X_8)),join(join(X_8,X_8),X_8))) != join(join(join(X_8,X_8),X_8),X_8)
| join(join(join(X_8,X_8),X_8),join(meet(X_8,join(X_8,X_8)),join(join(X_8,X_8),X_8))) = join(join(join(X_8,X_8),X_8),X_8) ),
inference(resolve,[$cnf( $equal(join(join(join(X_8,X_8),X_8),X_8),join(X_8,X_8)) )],[refute_0_384,refute_0_385]) ).
cnf(refute_0_387,plain,
join(join(join(X_8,X_8),X_8),join(meet(X_8,join(X_8,X_8)),join(join(X_8,X_8),X_8))) = join(join(join(X_8,X_8),X_8),X_8),
inference(resolve,[$cnf( $equal(join(join(join(X_8,X_8),X_8),join(meet(X_8,join(join(join(X_8,X_8),X_8),X_8)),join(join(X_8,X_8),X_8))),join(join(join(X_8,X_8),X_8),X_8)) )],[refute_0_381,refute_0_386]) ).
cnf(refute_0_388,plain,
join(X_8,join(join(X_8,X_8),X_8)) = join(X_8,X_8),
inference(subst,[],[refute_0_225:[bind(Y,$fot(X_8))]]) ).
cnf(refute_0_389,plain,
meet(X_8,join(X_8,X_8)) = X_8,
inference(subst,[],[absorption:[bind(X,$fot(X_8)),bind(Y,$fot(X_8))]]) ).
cnf(refute_0_390,plain,
join(meet(X_8,join(X_8,X_8)),join(join(X_8,X_8),X_8)) = join(meet(X_8,join(X_8,X_8)),join(join(X_8,X_8),X_8)),
introduced(tautology,[refl,[$fot(join(meet(X_8,join(X_8,X_8)),join(join(X_8,X_8),X_8)))]]) ).
cnf(refute_0_391,plain,
( join(meet(X_8,join(X_8,X_8)),join(join(X_8,X_8),X_8)) != join(meet(X_8,join(X_8,X_8)),join(join(X_8,X_8),X_8))
| meet(X_8,join(X_8,X_8)) != X_8
| join(meet(X_8,join(X_8,X_8)),join(join(X_8,X_8),X_8)) = join(X_8,join(join(X_8,X_8),X_8)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_8,join(X_8,X_8)),join(join(X_8,X_8),X_8)),join(meet(X_8,join(X_8,X_8)),join(join(X_8,X_8),X_8))) ),[1,0],$fot(X_8)]]) ).
cnf(refute_0_392,plain,
( meet(X_8,join(X_8,X_8)) != X_8
| join(meet(X_8,join(X_8,X_8)),join(join(X_8,X_8),X_8)) = join(X_8,join(join(X_8,X_8),X_8)) ),
inference(resolve,[$cnf( $equal(join(meet(X_8,join(X_8,X_8)),join(join(X_8,X_8),X_8)),join(meet(X_8,join(X_8,X_8)),join(join(X_8,X_8),X_8))) )],[refute_0_390,refute_0_391]) ).
cnf(refute_0_393,plain,
join(meet(X_8,join(X_8,X_8)),join(join(X_8,X_8),X_8)) = join(X_8,join(join(X_8,X_8),X_8)),
inference(resolve,[$cnf( $equal(meet(X_8,join(X_8,X_8)),X_8) )],[refute_0_389,refute_0_392]) ).
cnf(refute_0_394,plain,
( join(X_8,join(join(X_8,X_8),X_8)) != join(X_8,X_8)
| join(meet(X_8,join(X_8,X_8)),join(join(X_8,X_8),X_8)) != join(X_8,join(join(X_8,X_8),X_8))
| join(meet(X_8,join(X_8,X_8)),join(join(X_8,X_8),X_8)) = join(X_8,X_8) ),
inference(subst,[],[refute_0_84:[bind(X0,$fot(join(meet(X_8,join(X_8,X_8)),join(join(X_8,X_8),X_8)))),bind(Y0,$fot(join(X_8,join(join(X_8,X_8),X_8)))),bind(Z0,$fot(join(X_8,X_8)))]]) ).
cnf(refute_0_395,plain,
( join(X_8,join(join(X_8,X_8),X_8)) != join(X_8,X_8)
| join(meet(X_8,join(X_8,X_8)),join(join(X_8,X_8),X_8)) = join(X_8,X_8) ),
inference(resolve,[$cnf( $equal(join(meet(X_8,join(X_8,X_8)),join(join(X_8,X_8),X_8)),join(X_8,join(join(X_8,X_8),X_8))) )],[refute_0_393,refute_0_394]) ).
cnf(refute_0_396,plain,
join(meet(X_8,join(X_8,X_8)),join(join(X_8,X_8),X_8)) = join(X_8,X_8),
inference(resolve,[$cnf( $equal(join(X_8,join(join(X_8,X_8),X_8)),join(X_8,X_8)) )],[refute_0_388,refute_0_395]) ).
cnf(refute_0_397,plain,
join(join(join(X_8,X_8),X_8),join(meet(X_8,join(X_8,X_8)),join(join(X_8,X_8),X_8))) = join(join(join(X_8,X_8),X_8),join(meet(X_8,join(X_8,X_8)),join(join(X_8,X_8),X_8))),
introduced(tautology,[refl,[$fot(join(join(join(X_8,X_8),X_8),join(meet(X_8,join(X_8,X_8)),join(join(X_8,X_8),X_8))))]]) ).
cnf(refute_0_398,plain,
( join(join(join(X_8,X_8),X_8),join(meet(X_8,join(X_8,X_8)),join(join(X_8,X_8),X_8))) != join(join(join(X_8,X_8),X_8),join(meet(X_8,join(X_8,X_8)),join(join(X_8,X_8),X_8)))
| join(meet(X_8,join(X_8,X_8)),join(join(X_8,X_8),X_8)) != join(X_8,X_8)
| join(join(join(X_8,X_8),X_8),join(meet(X_8,join(X_8,X_8)),join(join(X_8,X_8),X_8))) = join(join(join(X_8,X_8),X_8),join(X_8,X_8)) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(join(X_8,X_8),X_8),join(meet(X_8,join(X_8,X_8)),join(join(X_8,X_8),X_8))),join(join(join(X_8,X_8),X_8),join(meet(X_8,join(X_8,X_8)),join(join(X_8,X_8),X_8)))) ),[1,1],$fot(join(X_8,X_8))]]) ).
cnf(refute_0_399,plain,
( join(meet(X_8,join(X_8,X_8)),join(join(X_8,X_8),X_8)) != join(X_8,X_8)
| join(join(join(X_8,X_8),X_8),join(meet(X_8,join(X_8,X_8)),join(join(X_8,X_8),X_8))) = join(join(join(X_8,X_8),X_8),join(X_8,X_8)) ),
inference(resolve,[$cnf( $equal(join(join(join(X_8,X_8),X_8),join(meet(X_8,join(X_8,X_8)),join(join(X_8,X_8),X_8))),join(join(join(X_8,X_8),X_8),join(meet(X_8,join(X_8,X_8)),join(join(X_8,X_8),X_8)))) )],[refute_0_397,refute_0_398]) ).
cnf(refute_0_400,plain,
join(join(join(X_8,X_8),X_8),join(meet(X_8,join(X_8,X_8)),join(join(X_8,X_8),X_8))) = join(join(join(X_8,X_8),X_8),join(X_8,X_8)),
inference(resolve,[$cnf( $equal(join(meet(X_8,join(X_8,X_8)),join(join(X_8,X_8),X_8)),join(X_8,X_8)) )],[refute_0_396,refute_0_399]) ).
cnf(refute_0_401,plain,
( join(join(join(X_8,X_8),X_8),join(meet(X_8,join(X_8,X_8)),join(join(X_8,X_8),X_8))) != join(join(join(X_8,X_8),X_8),X_8)
| join(join(join(X_8,X_8),X_8),join(meet(X_8,join(X_8,X_8)),join(join(X_8,X_8),X_8))) != join(join(join(X_8,X_8),X_8),join(X_8,X_8))
| join(join(join(X_8,X_8),X_8),join(X_8,X_8)) = join(join(join(X_8,X_8),X_8),X_8) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(join(X_8,X_8),X_8),join(meet(X_8,join(X_8,X_8)),join(join(X_8,X_8),X_8))),join(join(join(X_8,X_8),X_8),X_8)) ),[0],$fot(join(join(join(X_8,X_8),X_8),join(X_8,X_8)))]]) ).
cnf(refute_0_402,plain,
( join(join(join(X_8,X_8),X_8),join(meet(X_8,join(X_8,X_8)),join(join(X_8,X_8),X_8))) != join(join(join(X_8,X_8),X_8),X_8)
| join(join(join(X_8,X_8),X_8),join(X_8,X_8)) = join(join(join(X_8,X_8),X_8),X_8) ),
inference(resolve,[$cnf( $equal(join(join(join(X_8,X_8),X_8),join(meet(X_8,join(X_8,X_8)),join(join(X_8,X_8),X_8))),join(join(join(X_8,X_8),X_8),join(X_8,X_8))) )],[refute_0_400,refute_0_401]) ).
cnf(refute_0_403,plain,
( join(join(join(X_8,X_8),X_8),X_8) != join(X_8,X_8)
| join(join(join(X_8,X_8),X_8),join(X_8,X_8)) != join(join(join(X_8,X_8),X_8),X_8)
| join(join(join(X_8,X_8),X_8),join(X_8,X_8)) = join(X_8,X_8) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(join(X_8,X_8),X_8),join(X_8,X_8)),join(join(join(X_8,X_8),X_8),X_8)) ),[1],$fot(join(X_8,X_8))]]) ).
cnf(refute_0_404,plain,
( join(join(join(X_8,X_8),X_8),join(X_8,X_8)) != join(join(join(X_8,X_8),X_8),X_8)
| join(join(join(X_8,X_8),X_8),join(X_8,X_8)) = join(X_8,X_8) ),
inference(resolve,[$cnf( $equal(join(join(join(X_8,X_8),X_8),X_8),join(X_8,X_8)) )],[refute_0_384,refute_0_403]) ).
cnf(refute_0_405,plain,
( join(join(join(X_8,X_8),X_8),join(meet(X_8,join(X_8,X_8)),join(join(X_8,X_8),X_8))) != join(join(join(X_8,X_8),X_8),X_8)
| join(join(join(X_8,X_8),X_8),join(X_8,X_8)) = join(X_8,X_8) ),
inference(resolve,[$cnf( $equal(join(join(join(X_8,X_8),X_8),join(X_8,X_8)),join(join(join(X_8,X_8),X_8),X_8)) )],[refute_0_402,refute_0_404]) ).
cnf(refute_0_406,plain,
join(join(join(X_8,X_8),X_8),join(X_8,X_8)) = join(X_8,X_8),
inference(resolve,[$cnf( $equal(join(join(join(X_8,X_8),X_8),join(meet(X_8,join(X_8,X_8)),join(join(X_8,X_8),X_8))),join(join(join(X_8,X_8),X_8),X_8)) )],[refute_0_387,refute_0_405]) ).
cnf(refute_0_407,plain,
join(join(join(meet(Z,X),meet(Z,X)),meet(Z,X)),join(meet(Z,X),meet(Z,X))) = join(meet(Z,X),meet(Z,X)),
inference(subst,[],[refute_0_406:[bind(X_8,$fot(meet(Z,X)))]]) ).
cnf(refute_0_408,plain,
( join(join(join(meet(Z,X),meet(Z,X)),meet(Z,X)),join(meet(Z,X),meet(Z,X))) != join(meet(Z,X),meet(Z,X))
| join(meet(Z,X),meet(Z,X)) != meet(X,join(Z,Z))
| join(join(join(meet(Z,X),meet(Z,X)),meet(Z,X)),meet(X,join(Z,Z))) = join(meet(Z,X),meet(Z,X)) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(join(meet(Z,X),meet(Z,X)),meet(Z,X)),join(meet(Z,X),meet(Z,X))),join(meet(Z,X),meet(Z,X))) ),[0,1],$fot(meet(X,join(Z,Z)))]]) ).
cnf(refute_0_409,plain,
( join(join(join(meet(Z,X),meet(Z,X)),meet(Z,X)),join(meet(Z,X),meet(Z,X))) != join(meet(Z,X),meet(Z,X))
| join(join(join(meet(Z,X),meet(Z,X)),meet(Z,X)),meet(X,join(Z,Z))) = join(meet(Z,X),meet(Z,X)) ),
inference(resolve,[$cnf( $equal(join(meet(Z,X),meet(Z,X)),meet(X,join(Z,Z))) )],[refute_0_354,refute_0_408]) ).
cnf(refute_0_410,plain,
join(join(join(meet(Z,X),meet(Z,X)),meet(Z,X)),meet(X,join(Z,Z))) = join(meet(Z,X),meet(Z,X)),
inference(resolve,[$cnf( $equal(join(join(join(meet(Z,X),meet(Z,X)),meet(Z,X)),join(meet(Z,X),meet(Z,X))),join(meet(Z,X),meet(Z,X))) )],[refute_0_407,refute_0_409]) ).
cnf(refute_0_411,plain,
join(join(meet(Z,X),meet(Z,X)),meet(Z,X)) = join(join(meet(Z,X),meet(Z,X)),meet(Z,X)),
introduced(tautology,[refl,[$fot(join(join(meet(Z,X),meet(Z,X)),meet(Z,X)))]]) ).
cnf(refute_0_412,plain,
( join(join(meet(Z,X),meet(Z,X)),meet(Z,X)) != join(join(meet(Z,X),meet(Z,X)),meet(Z,X))
| join(meet(Z,X),meet(Z,X)) != meet(X,join(Z,Z))
| join(join(meet(Z,X),meet(Z,X)),meet(Z,X)) = join(meet(X,join(Z,Z)),meet(Z,X)) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(meet(Z,X),meet(Z,X)),meet(Z,X)),join(join(meet(Z,X),meet(Z,X)),meet(Z,X))) ),[1,0],$fot(meet(X,join(Z,Z)))]]) ).
cnf(refute_0_413,plain,
( join(meet(Z,X),meet(Z,X)) != meet(X,join(Z,Z))
| join(join(meet(Z,X),meet(Z,X)),meet(Z,X)) = join(meet(X,join(Z,Z)),meet(Z,X)) ),
inference(resolve,[$cnf( $equal(join(join(meet(Z,X),meet(Z,X)),meet(Z,X)),join(join(meet(Z,X),meet(Z,X)),meet(Z,X))) )],[refute_0_411,refute_0_412]) ).
cnf(refute_0_414,plain,
join(join(meet(Z,X),meet(Z,X)),meet(Z,X)) = join(meet(X,join(Z,Z)),meet(Z,X)),
inference(resolve,[$cnf( $equal(join(meet(Z,X),meet(Z,X)),meet(X,join(Z,Z))) )],[refute_0_354,refute_0_413]) ).
cnf(refute_0_415,plain,
join(join(join(meet(Z,X),meet(Z,X)),meet(Z,X)),meet(X,join(Z,Z))) = join(join(join(meet(Z,X),meet(Z,X)),meet(Z,X)),meet(X,join(Z,Z))),
introduced(tautology,[refl,[$fot(join(join(join(meet(Z,X),meet(Z,X)),meet(Z,X)),meet(X,join(Z,Z))))]]) ).
cnf(refute_0_416,plain,
( join(join(join(meet(Z,X),meet(Z,X)),meet(Z,X)),meet(X,join(Z,Z))) != join(join(join(meet(Z,X),meet(Z,X)),meet(Z,X)),meet(X,join(Z,Z)))
| join(join(meet(Z,X),meet(Z,X)),meet(Z,X)) != join(meet(X,join(Z,Z)),meet(Z,X))
| join(join(join(meet(Z,X),meet(Z,X)),meet(Z,X)),meet(X,join(Z,Z))) = join(join(meet(X,join(Z,Z)),meet(Z,X)),meet(X,join(Z,Z))) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(join(meet(Z,X),meet(Z,X)),meet(Z,X)),meet(X,join(Z,Z))),join(join(join(meet(Z,X),meet(Z,X)),meet(Z,X)),meet(X,join(Z,Z)))) ),[1,0],$fot(join(meet(X,join(Z,Z)),meet(Z,X)))]]) ).
cnf(refute_0_417,plain,
( join(join(meet(Z,X),meet(Z,X)),meet(Z,X)) != join(meet(X,join(Z,Z)),meet(Z,X))
| join(join(join(meet(Z,X),meet(Z,X)),meet(Z,X)),meet(X,join(Z,Z))) = join(join(meet(X,join(Z,Z)),meet(Z,X)),meet(X,join(Z,Z))) ),
inference(resolve,[$cnf( $equal(join(join(join(meet(Z,X),meet(Z,X)),meet(Z,X)),meet(X,join(Z,Z))),join(join(join(meet(Z,X),meet(Z,X)),meet(Z,X)),meet(X,join(Z,Z)))) )],[refute_0_415,refute_0_416]) ).
cnf(refute_0_418,plain,
join(join(join(meet(Z,X),meet(Z,X)),meet(Z,X)),meet(X,join(Z,Z))) = join(join(meet(X,join(Z,Z)),meet(Z,X)),meet(X,join(Z,Z))),
inference(resolve,[$cnf( $equal(join(join(meet(Z,X),meet(Z,X)),meet(Z,X)),join(meet(X,join(Z,Z)),meet(Z,X))) )],[refute_0_414,refute_0_417]) ).
cnf(refute_0_419,plain,
( join(join(join(meet(Z,X),meet(Z,X)),meet(Z,X)),meet(X,join(Z,Z))) != join(join(meet(X,join(Z,Z)),meet(Z,X)),meet(X,join(Z,Z)))
| join(join(join(meet(Z,X),meet(Z,X)),meet(Z,X)),meet(X,join(Z,Z))) != join(meet(Z,X),meet(Z,X))
| join(join(meet(X,join(Z,Z)),meet(Z,X)),meet(X,join(Z,Z))) = join(meet(Z,X),meet(Z,X)) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(join(meet(Z,X),meet(Z,X)),meet(Z,X)),meet(X,join(Z,Z))),join(meet(Z,X),meet(Z,X))) ),[0],$fot(join(join(meet(X,join(Z,Z)),meet(Z,X)),meet(X,join(Z,Z))))]]) ).
cnf(refute_0_420,plain,
( join(join(join(meet(Z,X),meet(Z,X)),meet(Z,X)),meet(X,join(Z,Z))) != join(meet(Z,X),meet(Z,X))
| join(join(meet(X,join(Z,Z)),meet(Z,X)),meet(X,join(Z,Z))) = join(meet(Z,X),meet(Z,X)) ),
inference(resolve,[$cnf( $equal(join(join(join(meet(Z,X),meet(Z,X)),meet(Z,X)),meet(X,join(Z,Z))),join(join(meet(X,join(Z,Z)),meet(Z,X)),meet(X,join(Z,Z)))) )],[refute_0_418,refute_0_419]) ).
cnf(refute_0_421,plain,
( join(join(meet(X,join(Z,Z)),meet(Z,X)),meet(X,join(Z,Z))) != join(meet(Z,X),meet(Z,X))
| join(meet(Z,X),meet(Z,X)) != meet(X,join(Z,Z))
| join(join(meet(X,join(Z,Z)),meet(Z,X)),meet(X,join(Z,Z))) = meet(X,join(Z,Z)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(join(meet(X,join(Z,Z)),meet(Z,X)),meet(X,join(Z,Z))),meet(X,join(Z,Z))) ),[0],$fot(join(meet(Z,X),meet(Z,X)))]]) ).
cnf(refute_0_422,plain,
( join(join(meet(X,join(Z,Z)),meet(Z,X)),meet(X,join(Z,Z))) != join(meet(Z,X),meet(Z,X))
| join(join(meet(X,join(Z,Z)),meet(Z,X)),meet(X,join(Z,Z))) = meet(X,join(Z,Z)) ),
inference(resolve,[$cnf( $equal(join(meet(Z,X),meet(Z,X)),meet(X,join(Z,Z))) )],[refute_0_354,refute_0_421]) ).
cnf(refute_0_423,plain,
( join(join(join(meet(Z,X),meet(Z,X)),meet(Z,X)),meet(X,join(Z,Z))) != join(meet(Z,X),meet(Z,X))
| join(join(meet(X,join(Z,Z)),meet(Z,X)),meet(X,join(Z,Z))) = meet(X,join(Z,Z)) ),
inference(resolve,[$cnf( $equal(join(join(meet(X,join(Z,Z)),meet(Z,X)),meet(X,join(Z,Z))),join(meet(Z,X),meet(Z,X))) )],[refute_0_420,refute_0_422]) ).
cnf(refute_0_424,plain,
join(join(meet(X,join(Z,Z)),meet(Z,X)),meet(X,join(Z,Z))) = meet(X,join(Z,Z)),
inference(resolve,[$cnf( $equal(join(join(join(meet(Z,X),meet(Z,X)),meet(Z,X)),meet(X,join(Z,Z))),join(meet(Z,X),meet(Z,X))) )],[refute_0_410,refute_0_423]) ).
cnf(refute_0_425,plain,
join(meet(X,join(Z,Z)),meet(X,join(Z,Z))) = meet(join(Z,Z),join(X,X)),
inference(subst,[],[refute_0_32:[bind(X,$fot(join(Z,Z))),bind(Y,$fot(X)),bind(Z,$fot(X))]]) ).
cnf(refute_0_426,plain,
( meet(X,join(Z,Z)) != join(meet(X,join(Z,Z)),meet(Z,X))
| join(meet(X,join(Z,Z)),meet(Z,X)) = meet(X,join(Z,Z)) ),
inference(subst,[],[refute_0_24:[bind(X0,$fot(meet(X,join(Z,Z)))),bind(Y0,$fot(join(meet(X,join(Z,Z)),meet(Z,X))))]]) ).
cnf(refute_0_427,plain,
join(meet(X,join(Z,Z)),meet(Z,X)) = meet(X,join(Z,Z)),
inference(resolve,[$cnf( $equal(meet(X,join(Z,Z)),join(meet(X,join(Z,Z)),meet(Z,X))) )],[refute_0_360,refute_0_426]) ).
cnf(refute_0_428,plain,
join(join(meet(X,join(Z,Z)),meet(Z,X)),meet(X,join(Z,Z))) = join(join(meet(X,join(Z,Z)),meet(Z,X)),meet(X,join(Z,Z))),
introduced(tautology,[refl,[$fot(join(join(meet(X,join(Z,Z)),meet(Z,X)),meet(X,join(Z,Z))))]]) ).
cnf(refute_0_429,plain,
( join(join(meet(X,join(Z,Z)),meet(Z,X)),meet(X,join(Z,Z))) != join(join(meet(X,join(Z,Z)),meet(Z,X)),meet(X,join(Z,Z)))
| join(meet(X,join(Z,Z)),meet(Z,X)) != meet(X,join(Z,Z))
| join(join(meet(X,join(Z,Z)),meet(Z,X)),meet(X,join(Z,Z))) = join(meet(X,join(Z,Z)),meet(X,join(Z,Z))) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(meet(X,join(Z,Z)),meet(Z,X)),meet(X,join(Z,Z))),join(join(meet(X,join(Z,Z)),meet(Z,X)),meet(X,join(Z,Z)))) ),[1,0],$fot(meet(X,join(Z,Z)))]]) ).
cnf(refute_0_430,plain,
( join(meet(X,join(Z,Z)),meet(Z,X)) != meet(X,join(Z,Z))
| join(join(meet(X,join(Z,Z)),meet(Z,X)),meet(X,join(Z,Z))) = join(meet(X,join(Z,Z)),meet(X,join(Z,Z))) ),
inference(resolve,[$cnf( $equal(join(join(meet(X,join(Z,Z)),meet(Z,X)),meet(X,join(Z,Z))),join(join(meet(X,join(Z,Z)),meet(Z,X)),meet(X,join(Z,Z)))) )],[refute_0_428,refute_0_429]) ).
cnf(refute_0_431,plain,
join(join(meet(X,join(Z,Z)),meet(Z,X)),meet(X,join(Z,Z))) = join(meet(X,join(Z,Z)),meet(X,join(Z,Z))),
inference(resolve,[$cnf( $equal(join(meet(X,join(Z,Z)),meet(Z,X)),meet(X,join(Z,Z))) )],[refute_0_427,refute_0_430]) ).
cnf(refute_0_432,plain,
( join(join(meet(X,join(Z,Z)),meet(Z,X)),meet(X,join(Z,Z))) != join(meet(X,join(Z,Z)),meet(X,join(Z,Z)))
| join(meet(X,join(Z,Z)),meet(X,join(Z,Z))) != meet(join(Z,Z),join(X,X))
| join(join(meet(X,join(Z,Z)),meet(Z,X)),meet(X,join(Z,Z))) = meet(join(Z,Z),join(X,X)) ),
inference(subst,[],[refute_0_84:[bind(X0,$fot(join(join(meet(X,join(Z,Z)),meet(Z,X)),meet(X,join(Z,Z))))),bind(Y0,$fot(join(meet(X,join(Z,Z)),meet(X,join(Z,Z))))),bind(Z0,$fot(meet(join(Z,Z),join(X,X))))]]) ).
cnf(refute_0_433,plain,
( join(meet(X,join(Z,Z)),meet(X,join(Z,Z))) != meet(join(Z,Z),join(X,X))
| join(join(meet(X,join(Z,Z)),meet(Z,X)),meet(X,join(Z,Z))) = meet(join(Z,Z),join(X,X)) ),
inference(resolve,[$cnf( $equal(join(join(meet(X,join(Z,Z)),meet(Z,X)),meet(X,join(Z,Z))),join(meet(X,join(Z,Z)),meet(X,join(Z,Z)))) )],[refute_0_431,refute_0_432]) ).
cnf(refute_0_434,plain,
join(join(meet(X,join(Z,Z)),meet(Z,X)),meet(X,join(Z,Z))) = meet(join(Z,Z),join(X,X)),
inference(resolve,[$cnf( $equal(join(meet(X,join(Z,Z)),meet(X,join(Z,Z))),meet(join(Z,Z),join(X,X))) )],[refute_0_425,refute_0_433]) ).
cnf(refute_0_435,plain,
( join(join(meet(X,join(Z,Z)),meet(Z,X)),meet(X,join(Z,Z))) != meet(X,join(Z,Z))
| join(join(meet(X,join(Z,Z)),meet(Z,X)),meet(X,join(Z,Z))) != meet(join(Z,Z),join(X,X))
| meet(join(Z,Z),join(X,X)) = meet(X,join(Z,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(meet(X,join(Z,Z)),meet(Z,X)),meet(X,join(Z,Z))),meet(X,join(Z,Z))) ),[0],$fot(meet(join(Z,Z),join(X,X)))]]) ).
cnf(refute_0_436,plain,
( join(join(meet(X,join(Z,Z)),meet(Z,X)),meet(X,join(Z,Z))) != meet(X,join(Z,Z))
| meet(join(Z,Z),join(X,X)) = meet(X,join(Z,Z)) ),
inference(resolve,[$cnf( $equal(join(join(meet(X,join(Z,Z)),meet(Z,X)),meet(X,join(Z,Z))),meet(join(Z,Z),join(X,X))) )],[refute_0_434,refute_0_435]) ).
cnf(refute_0_437,plain,
meet(join(Z,Z),join(X,X)) = meet(X,join(Z,Z)),
inference(resolve,[$cnf( $equal(join(join(meet(X,join(Z,Z)),meet(Z,X)),meet(X,join(Z,Z))),meet(X,join(Z,Z))) )],[refute_0_424,refute_0_436]) ).
cnf(refute_0_438,plain,
meet(join(Y,Y),join(Y,Y)) = meet(Y,join(Y,Y)),
inference(subst,[],[refute_0_437:[bind(X,$fot(Y)),bind(Z,$fot(Y))]]) ).
cnf(refute_0_439,plain,
( meet(Y,join(Y,Y)) != Y
| meet(join(Y,Y),join(Y,Y)) != meet(Y,join(Y,Y))
| meet(join(Y,Y),join(Y,Y)) = Y ),
inference(subst,[],[refute_0_84:[bind(X0,$fot(meet(join(Y,Y),join(Y,Y)))),bind(Y0,$fot(meet(Y,join(Y,Y)))),bind(Z0,$fot(Y))]]) ).
cnf(refute_0_440,plain,
( meet(Y,join(Y,Y)) != Y
| meet(join(Y,Y),join(Y,Y)) = Y ),
inference(resolve,[$cnf( $equal(meet(join(Y,Y),join(Y,Y)),meet(Y,join(Y,Y))) )],[refute_0_438,refute_0_439]) ).
cnf(refute_0_441,plain,
meet(join(Y,Y),join(Y,Y)) = Y,
inference(resolve,[$cnf( $equal(meet(Y,join(Y,Y)),Y) )],[refute_0_203,refute_0_440]) ).
cnf(refute_0_442,plain,
( join(Y,Y) != meet(join(Y,Y),join(Y,Y))
| meet(join(Y,Y),join(Y,Y)) != Y
| join(Y,Y) = Y ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(Y,Y),Y) ),[0],$fot(meet(join(Y,Y),join(Y,Y)))]]) ).
cnf(refute_0_443,plain,
( join(Y,Y) != meet(join(Y,Y),join(Y,Y))
| join(Y,Y) = Y ),
inference(resolve,[$cnf( $equal(meet(join(Y,Y),join(Y,Y)),Y) )],[refute_0_441,refute_0_442]) ).
cnf(refute_0_444,plain,
( meet(join(Y,Y),join(Y,join(Y,Y))) != meet(join(Y,Y),join(Y,Y))
| join(Y,Y) = Y ),
inference(resolve,[$cnf( $equal(join(Y,Y),meet(join(Y,Y),join(Y,Y))) )],[refute_0_380,refute_0_443]) ).
cnf(refute_0_445,plain,
join(Y,Y) = Y,
inference(resolve,[$cnf( $equal(meet(join(Y,Y),join(Y,join(Y,Y))),meet(join(Y,Y),join(Y,Y))) )],[refute_0_366,refute_0_444]) ).
cnf(refute_0_446,plain,
join(X_29,X_29) = X_29,
inference(subst,[],[refute_0_445:[bind(Y,$fot(X_29))]]) ).
cnf(refute_0_447,plain,
join(Y,join(X_29,X_29)) = join(Y,join(X_29,X_29)),
introduced(tautology,[refl,[$fot(join(Y,join(X_29,X_29)))]]) ).
cnf(refute_0_448,plain,
( join(Y,join(X_29,X_29)) != join(Y,join(X_29,X_29))
| join(X_29,X_29) != X_29
| join(Y,join(X_29,X_29)) = join(Y,X_29) ),
introduced(tautology,[equality,[$cnf( $equal(join(Y,join(X_29,X_29)),join(Y,join(X_29,X_29))) ),[1,1],$fot(X_29)]]) ).
cnf(refute_0_449,plain,
( join(X_29,X_29) != X_29
| join(Y,join(X_29,X_29)) = join(Y,X_29) ),
inference(resolve,[$cnf( $equal(join(Y,join(X_29,X_29)),join(Y,join(X_29,X_29))) )],[refute_0_447,refute_0_448]) ).
cnf(refute_0_450,plain,
join(Y,join(X_29,X_29)) = join(Y,X_29),
inference(resolve,[$cnf( $equal(join(X_29,X_29),X_29) )],[refute_0_446,refute_0_449]) ).
cnf(refute_0_451,plain,
meet(X_29,join(Y,join(X_29,X_29))) = meet(X_29,join(Y,join(X_29,X_29))),
introduced(tautology,[refl,[$fot(meet(X_29,join(Y,join(X_29,X_29))))]]) ).
cnf(refute_0_452,plain,
( join(Y,join(X_29,X_29)) != join(Y,X_29)
| meet(X_29,join(Y,join(X_29,X_29))) != meet(X_29,join(Y,join(X_29,X_29)))
| meet(X_29,join(Y,join(X_29,X_29))) = meet(X_29,join(Y,X_29)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_29,join(Y,join(X_29,X_29))),meet(X_29,join(Y,join(X_29,X_29)))) ),[1,1],$fot(join(Y,X_29))]]) ).
cnf(refute_0_453,plain,
( join(Y,join(X_29,X_29)) != join(Y,X_29)
| meet(X_29,join(Y,join(X_29,X_29))) = meet(X_29,join(Y,X_29)) ),
inference(resolve,[$cnf( $equal(meet(X_29,join(Y,join(X_29,X_29))),meet(X_29,join(Y,join(X_29,X_29)))) )],[refute_0_451,refute_0_452]) ).
cnf(refute_0_454,plain,
meet(X_29,join(Y,join(X_29,X_29))) = meet(X_29,join(Y,X_29)),
inference(resolve,[$cnf( $equal(join(Y,join(X_29,X_29)),join(Y,X_29)) )],[refute_0_450,refute_0_453]) ).
cnf(refute_0_455,plain,
meet(join(X_29,X_29),join(Y,join(X_29,X_29))) = meet(join(X_29,X_29),join(Y,join(X_29,X_29))),
introduced(tautology,[refl,[$fot(meet(join(X_29,X_29),join(Y,join(X_29,X_29))))]]) ).
cnf(refute_0_456,plain,
( join(X_29,X_29) != X_29
| meet(join(X_29,X_29),join(Y,join(X_29,X_29))) != meet(join(X_29,X_29),join(Y,join(X_29,X_29)))
| meet(join(X_29,X_29),join(Y,join(X_29,X_29))) = meet(X_29,join(Y,join(X_29,X_29))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_29,X_29),join(Y,join(X_29,X_29))),meet(join(X_29,X_29),join(Y,join(X_29,X_29)))) ),[1,0],$fot(X_29)]]) ).
cnf(refute_0_457,plain,
( join(X_29,X_29) != X_29
| meet(join(X_29,X_29),join(Y,join(X_29,X_29))) = meet(X_29,join(Y,join(X_29,X_29))) ),
inference(resolve,[$cnf( $equal(meet(join(X_29,X_29),join(Y,join(X_29,X_29))),meet(join(X_29,X_29),join(Y,join(X_29,X_29)))) )],[refute_0_455,refute_0_456]) ).
cnf(refute_0_458,plain,
meet(join(X_29,X_29),join(Y,join(X_29,X_29))) = meet(X_29,join(Y,join(X_29,X_29))),
inference(resolve,[$cnf( $equal(join(X_29,X_29),X_29) )],[refute_0_446,refute_0_457]) ).
cnf(refute_0_459,plain,
( meet(X_29,join(Y,join(X_29,X_29))) != meet(X_29,join(Y,X_29))
| meet(join(X_29,X_29),join(Y,join(X_29,X_29))) != meet(X_29,join(Y,join(X_29,X_29)))
| meet(join(X_29,X_29),join(Y,join(X_29,X_29))) = meet(X_29,join(Y,X_29)) ),
inference(subst,[],[refute_0_84:[bind(X0,$fot(meet(join(X_29,X_29),join(Y,join(X_29,X_29))))),bind(Y0,$fot(meet(X_29,join(Y,join(X_29,X_29))))),bind(Z0,$fot(meet(X_29,join(Y,X_29))))]]) ).
cnf(refute_0_460,plain,
( meet(X_29,join(Y,join(X_29,X_29))) != meet(X_29,join(Y,X_29))
| meet(join(X_29,X_29),join(Y,join(X_29,X_29))) = meet(X_29,join(Y,X_29)) ),
inference(resolve,[$cnf( $equal(meet(join(X_29,X_29),join(Y,join(X_29,X_29))),meet(X_29,join(Y,join(X_29,X_29)))) )],[refute_0_458,refute_0_459]) ).
cnf(refute_0_461,plain,
meet(join(X_29,X_29),join(Y,join(X_29,X_29))) = meet(X_29,join(Y,X_29)),
inference(resolve,[$cnf( $equal(meet(X_29,join(Y,join(X_29,X_29))),meet(X_29,join(Y,X_29))) )],[refute_0_454,refute_0_460]) ).
cnf(refute_0_462,plain,
( meet(join(X_29,X_29),join(Y,join(X_29,X_29))) != join(join(X_29,X_29),meet(Y,join(X_29,X_29)))
| meet(join(X_29,X_29),join(Y,join(X_29,X_29))) != meet(X_29,join(Y,X_29))
| meet(X_29,join(Y,X_29)) = join(join(X_29,X_29),meet(Y,join(X_29,X_29))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_29,X_29),join(Y,join(X_29,X_29))),join(join(X_29,X_29),meet(Y,join(X_29,X_29)))) ),[0],$fot(meet(X_29,join(Y,X_29)))]]) ).
cnf(refute_0_463,plain,
( meet(join(X_29,X_29),join(Y,join(X_29,X_29))) != join(join(X_29,X_29),meet(Y,join(X_29,X_29)))
| meet(X_29,join(Y,X_29)) = join(join(X_29,X_29),meet(Y,join(X_29,X_29))) ),
inference(resolve,[$cnf( $equal(meet(join(X_29,X_29),join(Y,join(X_29,X_29))),meet(X_29,join(Y,X_29))) )],[refute_0_461,refute_0_462]) ).
cnf(refute_0_464,plain,
meet(Y,join(X_29,X_29)) = meet(Y,join(X_29,X_29)),
introduced(tautology,[refl,[$fot(meet(Y,join(X_29,X_29)))]]) ).
cnf(refute_0_465,plain,
( join(X_29,X_29) != X_29
| meet(Y,join(X_29,X_29)) != meet(Y,join(X_29,X_29))
| meet(Y,join(X_29,X_29)) = meet(Y,X_29) ),
introduced(tautology,[equality,[$cnf( $equal(meet(Y,join(X_29,X_29)),meet(Y,join(X_29,X_29))) ),[1,1],$fot(X_29)]]) ).
cnf(refute_0_466,plain,
( join(X_29,X_29) != X_29
| meet(Y,join(X_29,X_29)) = meet(Y,X_29) ),
inference(resolve,[$cnf( $equal(meet(Y,join(X_29,X_29)),meet(Y,join(X_29,X_29))) )],[refute_0_464,refute_0_465]) ).
cnf(refute_0_467,plain,
meet(Y,join(X_29,X_29)) = meet(Y,X_29),
inference(resolve,[$cnf( $equal(join(X_29,X_29),X_29) )],[refute_0_446,refute_0_466]) ).
cnf(refute_0_468,plain,
join(X_29,meet(Y,join(X_29,X_29))) = join(X_29,meet(Y,join(X_29,X_29))),
introduced(tautology,[refl,[$fot(join(X_29,meet(Y,join(X_29,X_29))))]]) ).
cnf(refute_0_469,plain,
( join(X_29,meet(Y,join(X_29,X_29))) != join(X_29,meet(Y,join(X_29,X_29)))
| meet(Y,join(X_29,X_29)) != meet(Y,X_29)
| join(X_29,meet(Y,join(X_29,X_29))) = join(X_29,meet(Y,X_29)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_29,meet(Y,join(X_29,X_29))),join(X_29,meet(Y,join(X_29,X_29)))) ),[1,1],$fot(meet(Y,X_29))]]) ).
cnf(refute_0_470,plain,
( meet(Y,join(X_29,X_29)) != meet(Y,X_29)
| join(X_29,meet(Y,join(X_29,X_29))) = join(X_29,meet(Y,X_29)) ),
inference(resolve,[$cnf( $equal(join(X_29,meet(Y,join(X_29,X_29))),join(X_29,meet(Y,join(X_29,X_29)))) )],[refute_0_468,refute_0_469]) ).
cnf(refute_0_471,plain,
join(X_29,meet(Y,join(X_29,X_29))) = join(X_29,meet(Y,X_29)),
inference(resolve,[$cnf( $equal(meet(Y,join(X_29,X_29)),meet(Y,X_29)) )],[refute_0_467,refute_0_470]) ).
cnf(refute_0_472,plain,
join(join(X_29,X_29),meet(Y,join(X_29,X_29))) = join(join(X_29,X_29),meet(Y,join(X_29,X_29))),
introduced(tautology,[refl,[$fot(join(join(X_29,X_29),meet(Y,join(X_29,X_29))))]]) ).
cnf(refute_0_473,plain,
( join(X_29,X_29) != X_29
| join(join(X_29,X_29),meet(Y,join(X_29,X_29))) != join(join(X_29,X_29),meet(Y,join(X_29,X_29)))
| join(join(X_29,X_29),meet(Y,join(X_29,X_29))) = join(X_29,meet(Y,join(X_29,X_29))) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(X_29,X_29),meet(Y,join(X_29,X_29))),join(join(X_29,X_29),meet(Y,join(X_29,X_29)))) ),[1,0],$fot(X_29)]]) ).
cnf(refute_0_474,plain,
( join(X_29,X_29) != X_29
| join(join(X_29,X_29),meet(Y,join(X_29,X_29))) = join(X_29,meet(Y,join(X_29,X_29))) ),
inference(resolve,[$cnf( $equal(join(join(X_29,X_29),meet(Y,join(X_29,X_29))),join(join(X_29,X_29),meet(Y,join(X_29,X_29)))) )],[refute_0_472,refute_0_473]) ).
cnf(refute_0_475,plain,
join(join(X_29,X_29),meet(Y,join(X_29,X_29))) = join(X_29,meet(Y,join(X_29,X_29))),
inference(resolve,[$cnf( $equal(join(X_29,X_29),X_29) )],[refute_0_446,refute_0_474]) ).
cnf(refute_0_476,plain,
( join(X_29,meet(Y,join(X_29,X_29))) != join(X_29,meet(Y,X_29))
| join(join(X_29,X_29),meet(Y,join(X_29,X_29))) != join(X_29,meet(Y,join(X_29,X_29)))
| join(join(X_29,X_29),meet(Y,join(X_29,X_29))) = join(X_29,meet(Y,X_29)) ),
inference(subst,[],[refute_0_84:[bind(X0,$fot(join(join(X_29,X_29),meet(Y,join(X_29,X_29))))),bind(Y0,$fot(join(X_29,meet(Y,join(X_29,X_29))))),bind(Z0,$fot(join(X_29,meet(Y,X_29))))]]) ).
cnf(refute_0_477,plain,
( join(X_29,meet(Y,join(X_29,X_29))) != join(X_29,meet(Y,X_29))
| join(join(X_29,X_29),meet(Y,join(X_29,X_29))) = join(X_29,meet(Y,X_29)) ),
inference(resolve,[$cnf( $equal(join(join(X_29,X_29),meet(Y,join(X_29,X_29))),join(X_29,meet(Y,join(X_29,X_29)))) )],[refute_0_475,refute_0_476]) ).
cnf(refute_0_478,plain,
join(join(X_29,X_29),meet(Y,join(X_29,X_29))) = join(X_29,meet(Y,X_29)),
inference(resolve,[$cnf( $equal(join(X_29,meet(Y,join(X_29,X_29))),join(X_29,meet(Y,X_29))) )],[refute_0_471,refute_0_477]) ).
cnf(refute_0_479,plain,
( join(join(X_29,X_29),meet(Y,join(X_29,X_29))) != join(X_29,meet(Y,X_29))
| meet(X_29,join(Y,X_29)) != join(join(X_29,X_29),meet(Y,join(X_29,X_29)))
| meet(X_29,join(Y,X_29)) = join(X_29,meet(Y,X_29)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_29,join(Y,X_29)),join(join(X_29,X_29),meet(Y,join(X_29,X_29)))) ),[1],$fot(join(X_29,meet(Y,X_29)))]]) ).
cnf(refute_0_480,plain,
( meet(X_29,join(Y,X_29)) != join(join(X_29,X_29),meet(Y,join(X_29,X_29)))
| meet(X_29,join(Y,X_29)) = join(X_29,meet(Y,X_29)) ),
inference(resolve,[$cnf( $equal(join(join(X_29,X_29),meet(Y,join(X_29,X_29))),join(X_29,meet(Y,X_29))) )],[refute_0_478,refute_0_479]) ).
cnf(refute_0_481,plain,
( meet(join(X_29,X_29),join(Y,join(X_29,X_29))) != join(join(X_29,X_29),meet(Y,join(X_29,X_29)))
| meet(X_29,join(Y,X_29)) = join(X_29,meet(Y,X_29)) ),
inference(resolve,[$cnf( $equal(meet(X_29,join(Y,X_29)),join(join(X_29,X_29),meet(Y,join(X_29,X_29)))) )],[refute_0_463,refute_0_480]) ).
cnf(refute_0_482,plain,
meet(X_29,join(Y,X_29)) = join(X_29,meet(Y,X_29)),
inference(resolve,[$cnf( $equal(meet(join(X_29,X_29),join(Y,join(X_29,X_29))),join(join(X_29,X_29),meet(Y,join(X_29,X_29)))) )],[refute_0_349,refute_0_481]) ).
cnf(refute_0_483,plain,
meet(join(X_29,X_29),join(join(join(X_29,X_29),X_29),Z)) = join(meet(Z,join(X_29,X_29)),meet(join(join(X_29,X_29),X_29),join(X_29,X_29))),
inference(subst,[],[distribution:[bind(X,$fot(join(X_29,X_29))),bind(Y,$fot(join(join(X_29,X_29),X_29)))]]) ).
cnf(refute_0_484,plain,
( meet(join(X_29,X_29),join(join(join(X_29,X_29),X_29),Z)) != join(meet(Z,join(X_29,X_29)),meet(join(join(X_29,X_29),X_29),join(X_29,X_29)))
| meet(join(join(X_29,X_29),X_29),join(X_29,X_29)) != join(join(X_29,X_29),X_29)
| meet(join(X_29,X_29),join(join(join(X_29,X_29),X_29),Z)) = join(meet(Z,join(X_29,X_29)),join(join(X_29,X_29),X_29)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_29,X_29),join(join(join(X_29,X_29),X_29),Z)),join(meet(Z,join(X_29,X_29)),meet(join(join(X_29,X_29),X_29),join(X_29,X_29)))) ),[1,1],$fot(join(join(X_29,X_29),X_29))]]) ).
cnf(refute_0_485,plain,
( meet(join(X_29,X_29),join(join(join(X_29,X_29),X_29),Z)) != join(meet(Z,join(X_29,X_29)),meet(join(join(X_29,X_29),X_29),join(X_29,X_29)))
| meet(join(X_29,X_29),join(join(join(X_29,X_29),X_29),Z)) = join(meet(Z,join(X_29,X_29)),join(join(X_29,X_29),X_29)) ),
inference(resolve,[$cnf( $equal(meet(join(join(X_29,X_29),X_29),join(X_29,X_29)),join(join(X_29,X_29),X_29)) )],[refute_0_177,refute_0_484]) ).
cnf(refute_0_486,plain,
meet(join(X_29,X_29),join(join(join(X_29,X_29),X_29),Z)) = join(meet(Z,join(X_29,X_29)),join(join(X_29,X_29),X_29)),
inference(resolve,[$cnf( $equal(meet(join(X_29,X_29),join(join(join(X_29,X_29),X_29),Z)),join(meet(Z,join(X_29,X_29)),meet(join(join(X_29,X_29),X_29),join(X_29,X_29)))) )],[refute_0_483,refute_0_485]) ).
cnf(refute_0_487,plain,
meet(join(X_29,X_29),join(join(X_29,X_29),Z)) = join(X_29,X_29),
inference(subst,[],[absorption:[bind(X,$fot(join(X_29,X_29))),bind(Y,$fot(Z))]]) ).
cnf(refute_0_488,plain,
join(join(join(X_29,X_29),X_29),Z) = join(join(join(X_29,X_29),X_29),Z),
introduced(tautology,[refl,[$fot(join(join(join(X_29,X_29),X_29),Z))]]) ).
cnf(refute_0_489,plain,
( join(join(X_29,X_29),X_29) != join(X_29,X_29)
| join(join(join(X_29,X_29),X_29),Z) != join(join(join(X_29,X_29),X_29),Z)
| join(join(join(X_29,X_29),X_29),Z) = join(join(X_29,X_29),Z) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(join(X_29,X_29),X_29),Z),join(join(join(X_29,X_29),X_29),Z)) ),[1,0],$fot(join(X_29,X_29))]]) ).
cnf(refute_0_490,plain,
( join(join(X_29,X_29),X_29) != join(X_29,X_29)
| join(join(join(X_29,X_29),X_29),Z) = join(join(X_29,X_29),Z) ),
inference(resolve,[$cnf( $equal(join(join(join(X_29,X_29),X_29),Z),join(join(join(X_29,X_29),X_29),Z)) )],[refute_0_488,refute_0_489]) ).
cnf(refute_0_491,plain,
join(join(join(X_29,X_29),X_29),Z) = join(join(X_29,X_29),Z),
inference(resolve,[$cnf( $equal(join(join(X_29,X_29),X_29),join(X_29,X_29)) )],[refute_0_331,refute_0_490]) ).
cnf(refute_0_492,plain,
meet(join(X_29,X_29),join(join(join(X_29,X_29),X_29),Z)) = meet(join(X_29,X_29),join(join(join(X_29,X_29),X_29),Z)),
introduced(tautology,[refl,[$fot(meet(join(X_29,X_29),join(join(join(X_29,X_29),X_29),Z)))]]) ).
cnf(refute_0_493,plain,
( join(join(join(X_29,X_29),X_29),Z) != join(join(X_29,X_29),Z)
| meet(join(X_29,X_29),join(join(join(X_29,X_29),X_29),Z)) != meet(join(X_29,X_29),join(join(join(X_29,X_29),X_29),Z))
| meet(join(X_29,X_29),join(join(join(X_29,X_29),X_29),Z)) = meet(join(X_29,X_29),join(join(X_29,X_29),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_29,X_29),join(join(join(X_29,X_29),X_29),Z)),meet(join(X_29,X_29),join(join(join(X_29,X_29),X_29),Z))) ),[1,1],$fot(join(join(X_29,X_29),Z))]]) ).
cnf(refute_0_494,plain,
( join(join(join(X_29,X_29),X_29),Z) != join(join(X_29,X_29),Z)
| meet(join(X_29,X_29),join(join(join(X_29,X_29),X_29),Z)) = meet(join(X_29,X_29),join(join(X_29,X_29),Z)) ),
inference(resolve,[$cnf( $equal(meet(join(X_29,X_29),join(join(join(X_29,X_29),X_29),Z)),meet(join(X_29,X_29),join(join(join(X_29,X_29),X_29),Z))) )],[refute_0_492,refute_0_493]) ).
cnf(refute_0_495,plain,
meet(join(X_29,X_29),join(join(join(X_29,X_29),X_29),Z)) = meet(join(X_29,X_29),join(join(X_29,X_29),Z)),
inference(resolve,[$cnf( $equal(join(join(join(X_29,X_29),X_29),Z),join(join(X_29,X_29),Z)) )],[refute_0_491,refute_0_494]) ).
cnf(refute_0_496,plain,
( meet(join(X_29,X_29),join(join(X_29,X_29),Z)) != join(X_29,X_29)
| meet(join(X_29,X_29),join(join(join(X_29,X_29),X_29),Z)) != meet(join(X_29,X_29),join(join(X_29,X_29),Z))
| meet(join(X_29,X_29),join(join(join(X_29,X_29),X_29),Z)) = join(X_29,X_29) ),
inference(subst,[],[refute_0_84:[bind(X0,$fot(meet(join(X_29,X_29),join(join(join(X_29,X_29),X_29),Z)))),bind(Y0,$fot(meet(join(X_29,X_29),join(join(X_29,X_29),Z)))),bind(Z0,$fot(join(X_29,X_29)))]]) ).
cnf(refute_0_497,plain,
( meet(join(X_29,X_29),join(join(X_29,X_29),Z)) != join(X_29,X_29)
| meet(join(X_29,X_29),join(join(join(X_29,X_29),X_29),Z)) = join(X_29,X_29) ),
inference(resolve,[$cnf( $equal(meet(join(X_29,X_29),join(join(join(X_29,X_29),X_29),Z)),meet(join(X_29,X_29),join(join(X_29,X_29),Z))) )],[refute_0_495,refute_0_496]) ).
cnf(refute_0_498,plain,
meet(join(X_29,X_29),join(join(join(X_29,X_29),X_29),Z)) = join(X_29,X_29),
inference(resolve,[$cnf( $equal(meet(join(X_29,X_29),join(join(X_29,X_29),Z)),join(X_29,X_29)) )],[refute_0_487,refute_0_497]) ).
cnf(refute_0_499,plain,
( meet(join(X_29,X_29),join(join(join(X_29,X_29),X_29),Z)) != join(X_29,X_29)
| meet(join(X_29,X_29),join(join(join(X_29,X_29),X_29),Z)) != join(meet(Z,join(X_29,X_29)),join(join(X_29,X_29),X_29))
| join(X_29,X_29) = join(meet(Z,join(X_29,X_29)),join(join(X_29,X_29),X_29)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_29,X_29),join(join(join(X_29,X_29),X_29),Z)),join(meet(Z,join(X_29,X_29)),join(join(X_29,X_29),X_29))) ),[0],$fot(join(X_29,X_29))]]) ).
cnf(refute_0_500,plain,
( meet(join(X_29,X_29),join(join(join(X_29,X_29),X_29),Z)) != join(meet(Z,join(X_29,X_29)),join(join(X_29,X_29),X_29))
| join(X_29,X_29) = join(meet(Z,join(X_29,X_29)),join(join(X_29,X_29),X_29)) ),
inference(resolve,[$cnf( $equal(meet(join(X_29,X_29),join(join(join(X_29,X_29),X_29),Z)),join(X_29,X_29)) )],[refute_0_498,refute_0_499]) ).
cnf(refute_0_501,plain,
join(meet(Z,join(X_29,X_29)),join(join(X_29,X_29),X_29)) = join(meet(Z,join(X_29,X_29)),join(join(X_29,X_29),X_29)),
introduced(tautology,[refl,[$fot(join(meet(Z,join(X_29,X_29)),join(join(X_29,X_29),X_29)))]]) ).
cnf(refute_0_502,plain,
( join(join(X_29,X_29),X_29) != join(X_29,X_29)
| join(meet(Z,join(X_29,X_29)),join(join(X_29,X_29),X_29)) != join(meet(Z,join(X_29,X_29)),join(join(X_29,X_29),X_29))
| join(meet(Z,join(X_29,X_29)),join(join(X_29,X_29),X_29)) = join(meet(Z,join(X_29,X_29)),join(X_29,X_29)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(Z,join(X_29,X_29)),join(join(X_29,X_29),X_29)),join(meet(Z,join(X_29,X_29)),join(join(X_29,X_29),X_29))) ),[1,1],$fot(join(X_29,X_29))]]) ).
cnf(refute_0_503,plain,
( join(join(X_29,X_29),X_29) != join(X_29,X_29)
| join(meet(Z,join(X_29,X_29)),join(join(X_29,X_29),X_29)) = join(meet(Z,join(X_29,X_29)),join(X_29,X_29)) ),
inference(resolve,[$cnf( $equal(join(meet(Z,join(X_29,X_29)),join(join(X_29,X_29),X_29)),join(meet(Z,join(X_29,X_29)),join(join(X_29,X_29),X_29))) )],[refute_0_501,refute_0_502]) ).
cnf(refute_0_504,plain,
join(meet(Z,join(X_29,X_29)),join(join(X_29,X_29),X_29)) = join(meet(Z,join(X_29,X_29)),join(X_29,X_29)),
inference(resolve,[$cnf( $equal(join(join(X_29,X_29),X_29),join(X_29,X_29)) )],[refute_0_331,refute_0_503]) ).
cnf(refute_0_505,plain,
( join(X_29,X_29) != join(meet(Z,join(X_29,X_29)),join(join(X_29,X_29),X_29))
| join(meet(Z,join(X_29,X_29)),join(join(X_29,X_29),X_29)) != join(meet(Z,join(X_29,X_29)),join(X_29,X_29))
| join(X_29,X_29) = join(meet(Z,join(X_29,X_29)),join(X_29,X_29)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_29,X_29),join(meet(Z,join(X_29,X_29)),join(X_29,X_29))) ),[0],$fot(join(meet(Z,join(X_29,X_29)),join(join(X_29,X_29),X_29)))]]) ).
cnf(refute_0_506,plain,
( join(X_29,X_29) != join(meet(Z,join(X_29,X_29)),join(join(X_29,X_29),X_29))
| join(X_29,X_29) = join(meet(Z,join(X_29,X_29)),join(X_29,X_29)) ),
inference(resolve,[$cnf( $equal(join(meet(Z,join(X_29,X_29)),join(join(X_29,X_29),X_29)),join(meet(Z,join(X_29,X_29)),join(X_29,X_29))) )],[refute_0_504,refute_0_505]) ).
cnf(refute_0_507,plain,
( meet(join(X_29,X_29),join(join(join(X_29,X_29),X_29),Z)) != join(meet(Z,join(X_29,X_29)),join(join(X_29,X_29),X_29))
| join(X_29,X_29) = join(meet(Z,join(X_29,X_29)),join(X_29,X_29)) ),
inference(resolve,[$cnf( $equal(join(X_29,X_29),join(meet(Z,join(X_29,X_29)),join(join(X_29,X_29),X_29))) )],[refute_0_500,refute_0_506]) ).
cnf(refute_0_508,plain,
join(X_29,X_29) = join(meet(Z,join(X_29,X_29)),join(X_29,X_29)),
inference(resolve,[$cnf( $equal(meet(join(X_29,X_29),join(join(join(X_29,X_29),X_29),Z)),join(meet(Z,join(X_29,X_29)),join(join(X_29,X_29),X_29))) )],[refute_0_486,refute_0_507]) ).
cnf(refute_0_509,plain,
( join(X_29,X_29) != X_29
| join(X_29,X_29) != join(meet(Z,join(X_29,X_29)),join(X_29,X_29))
| X_29 = join(meet(Z,join(X_29,X_29)),join(X_29,X_29)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_29,X_29),join(meet(Z,join(X_29,X_29)),join(X_29,X_29))) ),[0],$fot(X_29)]]) ).
cnf(refute_0_510,plain,
( join(X_29,X_29) != join(meet(Z,join(X_29,X_29)),join(X_29,X_29))
| X_29 = join(meet(Z,join(X_29,X_29)),join(X_29,X_29)) ),
inference(resolve,[$cnf( $equal(join(X_29,X_29),X_29) )],[refute_0_446,refute_0_509]) ).
cnf(refute_0_511,plain,
meet(Z,join(X_29,X_29)) = meet(Z,join(X_29,X_29)),
introduced(tautology,[refl,[$fot(meet(Z,join(X_29,X_29)))]]) ).
cnf(refute_0_512,plain,
( join(X_29,X_29) != X_29
| meet(Z,join(X_29,X_29)) != meet(Z,join(X_29,X_29))
| meet(Z,join(X_29,X_29)) = meet(Z,X_29) ),
introduced(tautology,[equality,[$cnf( $equal(meet(Z,join(X_29,X_29)),meet(Z,join(X_29,X_29))) ),[1,1],$fot(X_29)]]) ).
cnf(refute_0_513,plain,
( join(X_29,X_29) != X_29
| meet(Z,join(X_29,X_29)) = meet(Z,X_29) ),
inference(resolve,[$cnf( $equal(meet(Z,join(X_29,X_29)),meet(Z,join(X_29,X_29))) )],[refute_0_511,refute_0_512]) ).
cnf(refute_0_514,plain,
meet(Z,join(X_29,X_29)) = meet(Z,X_29),
inference(resolve,[$cnf( $equal(join(X_29,X_29),X_29) )],[refute_0_446,refute_0_513]) ).
cnf(refute_0_515,plain,
join(X_29,meet(Z,join(X_29,X_29))) = join(X_29,meet(Z,join(X_29,X_29))),
introduced(tautology,[refl,[$fot(join(X_29,meet(Z,join(X_29,X_29))))]]) ).
cnf(refute_0_516,plain,
( join(X_29,meet(Z,join(X_29,X_29))) != join(X_29,meet(Z,join(X_29,X_29)))
| meet(Z,join(X_29,X_29)) != meet(Z,X_29)
| join(X_29,meet(Z,join(X_29,X_29))) = join(X_29,meet(Z,X_29)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_29,meet(Z,join(X_29,X_29))),join(X_29,meet(Z,join(X_29,X_29)))) ),[1,1],$fot(meet(Z,X_29))]]) ).
cnf(refute_0_517,plain,
( meet(Z,join(X_29,X_29)) != meet(Z,X_29)
| join(X_29,meet(Z,join(X_29,X_29))) = join(X_29,meet(Z,X_29)) ),
inference(resolve,[$cnf( $equal(join(X_29,meet(Z,join(X_29,X_29))),join(X_29,meet(Z,join(X_29,X_29)))) )],[refute_0_515,refute_0_516]) ).
cnf(refute_0_518,plain,
join(X_29,meet(Z,join(X_29,X_29))) = join(X_29,meet(Z,X_29)),
inference(resolve,[$cnf( $equal(meet(Z,join(X_29,X_29)),meet(Z,X_29)) )],[refute_0_514,refute_0_517]) ).
cnf(refute_0_519,plain,
join(join(X_29,X_29),meet(Z,join(X_29,X_29))) = join(join(X_29,X_29),meet(Z,join(X_29,X_29))),
introduced(tautology,[refl,[$fot(join(join(X_29,X_29),meet(Z,join(X_29,X_29))))]]) ).
cnf(refute_0_520,plain,
( join(X_29,X_29) != X_29
| join(join(X_29,X_29),meet(Z,join(X_29,X_29))) != join(join(X_29,X_29),meet(Z,join(X_29,X_29)))
| join(join(X_29,X_29),meet(Z,join(X_29,X_29))) = join(X_29,meet(Z,join(X_29,X_29))) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(X_29,X_29),meet(Z,join(X_29,X_29))),join(join(X_29,X_29),meet(Z,join(X_29,X_29)))) ),[1,0],$fot(X_29)]]) ).
cnf(refute_0_521,plain,
( join(X_29,X_29) != X_29
| join(join(X_29,X_29),meet(Z,join(X_29,X_29))) = join(X_29,meet(Z,join(X_29,X_29))) ),
inference(resolve,[$cnf( $equal(join(join(X_29,X_29),meet(Z,join(X_29,X_29))),join(join(X_29,X_29),meet(Z,join(X_29,X_29)))) )],[refute_0_519,refute_0_520]) ).
cnf(refute_0_522,plain,
join(join(X_29,X_29),meet(Z,join(X_29,X_29))) = join(X_29,meet(Z,join(X_29,X_29))),
inference(resolve,[$cnf( $equal(join(X_29,X_29),X_29) )],[refute_0_446,refute_0_521]) ).
cnf(refute_0_523,plain,
( join(X_29,meet(Z,join(X_29,X_29))) != join(X_29,meet(Z,X_29))
| join(join(X_29,X_29),meet(Z,join(X_29,X_29))) != join(X_29,meet(Z,join(X_29,X_29)))
| join(join(X_29,X_29),meet(Z,join(X_29,X_29))) = join(X_29,meet(Z,X_29)) ),
inference(subst,[],[refute_0_84:[bind(X0,$fot(join(join(X_29,X_29),meet(Z,join(X_29,X_29))))),bind(Y0,$fot(join(X_29,meet(Z,join(X_29,X_29))))),bind(Z0,$fot(join(X_29,meet(Z,X_29))))]]) ).
cnf(refute_0_524,plain,
( join(X_29,meet(Z,join(X_29,X_29))) != join(X_29,meet(Z,X_29))
| join(join(X_29,X_29),meet(Z,join(X_29,X_29))) = join(X_29,meet(Z,X_29)) ),
inference(resolve,[$cnf( $equal(join(join(X_29,X_29),meet(Z,join(X_29,X_29))),join(X_29,meet(Z,join(X_29,X_29)))) )],[refute_0_522,refute_0_523]) ).
cnf(refute_0_525,plain,
join(join(X_29,X_29),meet(Z,join(X_29,X_29))) = join(X_29,meet(Z,X_29)),
inference(resolve,[$cnf( $equal(join(X_29,meet(Z,join(X_29,X_29))),join(X_29,meet(Z,X_29))) )],[refute_0_518,refute_0_524]) ).
cnf(refute_0_526,plain,
join(X_21,X_21) = X_21,
inference(subst,[],[refute_0_445:[bind(Y,$fot(X_21))]]) ).
cnf(refute_0_527,plain,
meet(Y,join(X_21,X_21)) = meet(Y,join(X_21,X_21)),
introduced(tautology,[refl,[$fot(meet(Y,join(X_21,X_21)))]]) ).
cnf(refute_0_528,plain,
( join(X_21,X_21) != X_21
| meet(Y,join(X_21,X_21)) != meet(Y,join(X_21,X_21))
| meet(Y,join(X_21,X_21)) = meet(Y,X_21) ),
introduced(tautology,[equality,[$cnf( $equal(meet(Y,join(X_21,X_21)),meet(Y,join(X_21,X_21))) ),[1,1],$fot(X_21)]]) ).
cnf(refute_0_529,plain,
( join(X_21,X_21) != X_21
| meet(Y,join(X_21,X_21)) = meet(Y,X_21) ),
inference(resolve,[$cnf( $equal(meet(Y,join(X_21,X_21)),meet(Y,join(X_21,X_21))) )],[refute_0_527,refute_0_528]) ).
cnf(refute_0_530,plain,
meet(Y,join(X_21,X_21)) = meet(Y,X_21),
inference(resolve,[$cnf( $equal(join(X_21,X_21),X_21) )],[refute_0_526,refute_0_529]) ).
cnf(refute_0_531,plain,
join(X_21,meet(Y,join(X_21,X_21))) = join(X_21,meet(Y,join(X_21,X_21))),
introduced(tautology,[refl,[$fot(join(X_21,meet(Y,join(X_21,X_21))))]]) ).
cnf(refute_0_532,plain,
( join(X_21,meet(Y,join(X_21,X_21))) != join(X_21,meet(Y,join(X_21,X_21)))
| meet(Y,join(X_21,X_21)) != meet(Y,X_21)
| join(X_21,meet(Y,join(X_21,X_21))) = join(X_21,meet(Y,X_21)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_21,meet(Y,join(X_21,X_21))),join(X_21,meet(Y,join(X_21,X_21)))) ),[1,1],$fot(meet(Y,X_21))]]) ).
cnf(refute_0_533,plain,
( meet(Y,join(X_21,X_21)) != meet(Y,X_21)
| join(X_21,meet(Y,join(X_21,X_21))) = join(X_21,meet(Y,X_21)) ),
inference(resolve,[$cnf( $equal(join(X_21,meet(Y,join(X_21,X_21))),join(X_21,meet(Y,join(X_21,X_21)))) )],[refute_0_531,refute_0_532]) ).
cnf(refute_0_534,plain,
join(X_21,meet(Y,join(X_21,X_21))) = join(X_21,meet(Y,X_21)),
inference(resolve,[$cnf( $equal(meet(Y,join(X_21,X_21)),meet(Y,X_21)) )],[refute_0_530,refute_0_533]) ).
cnf(refute_0_535,plain,
meet(join(X_21,X_21),join(Y,X_21)) = join(X_21,meet(Y,join(X_21,X_21))),
inference(subst,[],[refute_0_5:[bind(Y,$fot(X_21)),bind(X_3,$fot(Y)),bind(X_4,$fot(X_21))]]) ).
cnf(refute_0_536,plain,
meet(X,join(meet(X_18,X),Z)) = join(meet(Z,X),meet(meet(X_18,X),X)),
inference(subst,[],[distribution:[bind(Y,$fot(meet(X_18,X)))]]) ).
cnf(refute_0_537,plain,
meet(meet(X_18,X),X) = meet(X_18,X),
inference(subst,[],[refute_0_46:[bind(X_15,$fot(X)),bind(X_16,$fot(X_18))]]) ).
cnf(refute_0_538,plain,
( meet(X,join(meet(X_18,X),Z)) != join(meet(Z,X),meet(meet(X_18,X),X))
| meet(meet(X_18,X),X) != meet(X_18,X)
| meet(X,join(meet(X_18,X),Z)) = join(meet(Z,X),meet(X_18,X)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X,join(meet(X_18,X),Z)),join(meet(Z,X),meet(meet(X_18,X),X))) ),[1,1],$fot(meet(X_18,X))]]) ).
cnf(refute_0_539,plain,
( meet(X,join(meet(X_18,X),Z)) != join(meet(Z,X),meet(meet(X_18,X),X))
| meet(X,join(meet(X_18,X),Z)) = join(meet(Z,X),meet(X_18,X)) ),
inference(resolve,[$cnf( $equal(meet(meet(X_18,X),X),meet(X_18,X)) )],[refute_0_537,refute_0_538]) ).
cnf(refute_0_540,plain,
meet(X,join(meet(X_18,X),Z)) = join(meet(Z,X),meet(X_18,X)),
inference(resolve,[$cnf( $equal(meet(X,join(meet(X_18,X),Z)),join(meet(Z,X),meet(meet(X_18,X),X))) )],[refute_0_536,refute_0_539]) ).
cnf(refute_0_541,plain,
join(meet(Z,X),meet(X_18,X)) = meet(X,join(X_18,Z)),
inference(subst,[],[refute_0_32:[bind(Y,$fot(X_18))]]) ).
cnf(refute_0_542,plain,
( join(meet(Z,X),meet(X_18,X)) != meet(X,join(X_18,Z))
| meet(X,join(meet(X_18,X),Z)) != join(meet(Z,X),meet(X_18,X))
| meet(X,join(meet(X_18,X),Z)) = meet(X,join(X_18,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X,join(meet(X_18,X),Z)),join(meet(Z,X),meet(X_18,X))) ),[1],$fot(meet(X,join(X_18,Z)))]]) ).
cnf(refute_0_543,plain,
( meet(X,join(meet(X_18,X),Z)) != join(meet(Z,X),meet(X_18,X))
| meet(X,join(meet(X_18,X),Z)) = meet(X,join(X_18,Z)) ),
inference(resolve,[$cnf( $equal(join(meet(Z,X),meet(X_18,X)),meet(X,join(X_18,Z))) )],[refute_0_541,refute_0_542]) ).
cnf(refute_0_544,plain,
meet(X,join(meet(X_18,X),Z)) = meet(X,join(X_18,Z)),
inference(resolve,[$cnf( $equal(meet(X,join(meet(X_18,X),Z)),join(meet(Z,X),meet(X_18,X))) )],[refute_0_540,refute_0_543]) ).
cnf(refute_0_545,plain,
meet(join(X_21,X_21),join(meet(Y,join(X_21,X_21)),X_21)) = meet(join(X_21,X_21),join(Y,X_21)),
inference(subst,[],[refute_0_544:[bind(X,$fot(join(X_21,X_21))),bind(Z,$fot(X_21)),bind(X_18,$fot(Y))]]) ).
cnf(refute_0_546,plain,
( meet(join(X_21,X_21),join(Y,X_21)) != join(X_21,meet(Y,join(X_21,X_21)))
| meet(join(X_21,X_21),join(meet(Y,join(X_21,X_21)),X_21)) != meet(join(X_21,X_21),join(Y,X_21))
| meet(join(X_21,X_21),join(meet(Y,join(X_21,X_21)),X_21)) = join(X_21,meet(Y,join(X_21,X_21))) ),
inference(subst,[],[refute_0_84:[bind(X0,$fot(meet(join(X_21,X_21),join(meet(Y,join(X_21,X_21)),X_21)))),bind(Y0,$fot(meet(join(X_21,X_21),join(Y,X_21)))),bind(Z0,$fot(join(X_21,meet(Y,join(X_21,X_21)))))]]) ).
cnf(refute_0_547,plain,
( meet(join(X_21,X_21),join(Y,X_21)) != join(X_21,meet(Y,join(X_21,X_21)))
| meet(join(X_21,X_21),join(meet(Y,join(X_21,X_21)),X_21)) = join(X_21,meet(Y,join(X_21,X_21))) ),
inference(resolve,[$cnf( $equal(meet(join(X_21,X_21),join(meet(Y,join(X_21,X_21)),X_21)),meet(join(X_21,X_21),join(Y,X_21))) )],[refute_0_545,refute_0_546]) ).
cnf(refute_0_548,plain,
meet(join(X_21,X_21),join(meet(Y,join(X_21,X_21)),X_21)) = join(X_21,meet(Y,join(X_21,X_21))),
inference(resolve,[$cnf( $equal(meet(join(X_21,X_21),join(Y,X_21)),join(X_21,meet(Y,join(X_21,X_21)))) )],[refute_0_535,refute_0_547]) ).
cnf(refute_0_549,plain,
join(meet(Z,X),join(meet(Z,X),meet(Z,X))) = join(meet(Z,X),meet(Z,X)),
inference(subst,[],[refute_0_113:[bind(X_11,$fot(meet(Z,X)))]]) ).
cnf(refute_0_550,plain,
( join(meet(Z,X),join(meet(Z,X),meet(Z,X))) != join(meet(Z,X),meet(Z,X))
| join(meet(Z,X),meet(Z,X)) != meet(X,join(Z,Z))
| join(meet(Z,X),meet(X,join(Z,Z))) = join(meet(Z,X),meet(Z,X)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(Z,X),join(meet(Z,X),meet(Z,X))),join(meet(Z,X),meet(Z,X))) ),[0,1],$fot(meet(X,join(Z,Z)))]]) ).
cnf(refute_0_551,plain,
( join(meet(Z,X),join(meet(Z,X),meet(Z,X))) != join(meet(Z,X),meet(Z,X))
| join(meet(Z,X),meet(X,join(Z,Z))) = join(meet(Z,X),meet(Z,X)) ),
inference(resolve,[$cnf( $equal(join(meet(Z,X),meet(Z,X)),meet(X,join(Z,Z))) )],[refute_0_354,refute_0_550]) ).
cnf(refute_0_552,plain,
join(meet(Z,X),meet(X,join(Z,Z))) = join(meet(Z,X),meet(Z,X)),
inference(resolve,[$cnf( $equal(join(meet(Z,X),join(meet(Z,X),meet(Z,X))),join(meet(Z,X),meet(Z,X))) )],[refute_0_549,refute_0_551]) ).
cnf(refute_0_553,plain,
( join(meet(Z,X),meet(X,join(Z,Z))) != join(meet(Z,X),meet(Z,X))
| join(meet(Z,X),meet(Z,X)) != meet(X,join(Z,Z))
| join(meet(Z,X),meet(X,join(Z,Z))) = meet(X,join(Z,Z)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(meet(Z,X),meet(X,join(Z,Z))),meet(X,join(Z,Z))) ),[0],$fot(join(meet(Z,X),meet(Z,X)))]]) ).
cnf(refute_0_554,plain,
( join(meet(Z,X),meet(X,join(Z,Z))) != join(meet(Z,X),meet(Z,X))
| join(meet(Z,X),meet(X,join(Z,Z))) = meet(X,join(Z,Z)) ),
inference(resolve,[$cnf( $equal(join(meet(Z,X),meet(Z,X)),meet(X,join(Z,Z))) )],[refute_0_354,refute_0_553]) ).
cnf(refute_0_555,plain,
join(meet(Z,X),meet(X,join(Z,Z))) = meet(X,join(Z,Z)),
inference(resolve,[$cnf( $equal(join(meet(Z,X),meet(X,join(Z,Z))),join(meet(Z,X),meet(Z,X))) )],[refute_0_552,refute_0_554]) ).
cnf(refute_0_556,plain,
meet(X_45,join(meet(X_16,X_45),meet(X_16,X_45))) = join(meet(X_45,join(meet(X_16,X_45),meet(X_16,X_45))),meet(meet(X_16,X_45),X_45)),
inference(subst,[],[refute_0_360:[bind(X,$fot(X_45)),bind(Z,$fot(meet(X_16,X_45)))]]) ).
cnf(refute_0_557,plain,
meet(meet(X_16,X_45),X_45) = meet(X_16,X_45),
inference(subst,[],[refute_0_46:[bind(X_15,$fot(X_45))]]) ).
cnf(refute_0_558,plain,
( meet(X_45,join(meet(X_16,X_45),meet(X_16,X_45))) != join(meet(X_45,join(meet(X_16,X_45),meet(X_16,X_45))),meet(meet(X_16,X_45),X_45))
| meet(meet(X_16,X_45),X_45) != meet(X_16,X_45)
| meet(X_45,join(meet(X_16,X_45),meet(X_16,X_45))) = join(meet(X_45,join(meet(X_16,X_45),meet(X_16,X_45))),meet(X_16,X_45)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_45,join(meet(X_16,X_45),meet(X_16,X_45))),join(meet(X_45,join(meet(X_16,X_45),meet(X_16,X_45))),meet(meet(X_16,X_45),X_45))) ),[1,1],$fot(meet(X_16,X_45))]]) ).
cnf(refute_0_559,plain,
( meet(X_45,join(meet(X_16,X_45),meet(X_16,X_45))) != join(meet(X_45,join(meet(X_16,X_45),meet(X_16,X_45))),meet(meet(X_16,X_45),X_45))
| meet(X_45,join(meet(X_16,X_45),meet(X_16,X_45))) = join(meet(X_45,join(meet(X_16,X_45),meet(X_16,X_45))),meet(X_16,X_45)) ),
inference(resolve,[$cnf( $equal(meet(meet(X_16,X_45),X_45),meet(X_16,X_45)) )],[refute_0_557,refute_0_558]) ).
cnf(refute_0_560,plain,
meet(X_45,join(meet(X_16,X_45),meet(X_16,X_45))) = join(meet(X_45,join(meet(X_16,X_45),meet(X_16,X_45))),meet(X_16,X_45)),
inference(resolve,[$cnf( $equal(meet(X_45,join(meet(X_16,X_45),meet(X_16,X_45))),join(meet(X_45,join(meet(X_16,X_45),meet(X_16,X_45))),meet(meet(X_16,X_45),X_45))) )],[refute_0_556,refute_0_559]) ).
cnf(refute_0_561,plain,
join(X_16,X_16) = X_16,
inference(subst,[],[refute_0_445:[bind(Y,$fot(X_16))]]) ).
cnf(refute_0_562,plain,
meet(X_45,join(X_16,X_16)) = meet(X_45,join(X_16,X_16)),
introduced(tautology,[refl,[$fot(meet(X_45,join(X_16,X_16)))]]) ).
cnf(refute_0_563,plain,
( join(X_16,X_16) != X_16
| meet(X_45,join(X_16,X_16)) != meet(X_45,join(X_16,X_16))
| meet(X_45,join(X_16,X_16)) = meet(X_45,X_16) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_45,join(X_16,X_16)),meet(X_45,join(X_16,X_16))) ),[1,1],$fot(X_16)]]) ).
cnf(refute_0_564,plain,
( join(X_16,X_16) != X_16
| meet(X_45,join(X_16,X_16)) = meet(X_45,X_16) ),
inference(resolve,[$cnf( $equal(meet(X_45,join(X_16,X_16)),meet(X_45,join(X_16,X_16))) )],[refute_0_562,refute_0_563]) ).
cnf(refute_0_565,plain,
meet(X_45,join(X_16,X_16)) = meet(X_45,X_16),
inference(resolve,[$cnf( $equal(join(X_16,X_16),X_16) )],[refute_0_561,refute_0_564]) ).
cnf(refute_0_566,plain,
meet(X,join(Y,meet(X_18,X))) = join(meet(meet(X_18,X),X),meet(Y,X)),
inference(subst,[],[distribution:[bind(Z,$fot(meet(X_18,X)))]]) ).
cnf(refute_0_567,plain,
( meet(X,join(Y,meet(X_18,X))) != join(meet(meet(X_18,X),X),meet(Y,X))
| meet(meet(X_18,X),X) != meet(X_18,X)
| meet(X,join(Y,meet(X_18,X))) = join(meet(X_18,X),meet(Y,X)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X,join(Y,meet(X_18,X))),join(meet(meet(X_18,X),X),meet(Y,X))) ),[1,0],$fot(meet(X_18,X))]]) ).
cnf(refute_0_568,plain,
( meet(X,join(Y,meet(X_18,X))) != join(meet(meet(X_18,X),X),meet(Y,X))
| meet(X,join(Y,meet(X_18,X))) = join(meet(X_18,X),meet(Y,X)) ),
inference(resolve,[$cnf( $equal(meet(meet(X_18,X),X),meet(X_18,X)) )],[refute_0_537,refute_0_567]) ).
cnf(refute_0_569,plain,
meet(X,join(Y,meet(X_18,X))) = join(meet(X_18,X),meet(Y,X)),
inference(resolve,[$cnf( $equal(meet(X,join(Y,meet(X_18,X))),join(meet(meet(X_18,X),X),meet(Y,X))) )],[refute_0_566,refute_0_568]) ).
cnf(refute_0_570,plain,
join(meet(X_18,X),meet(Y,X)) = meet(X,join(Y,X_18)),
inference(subst,[],[refute_0_32:[bind(Z,$fot(X_18))]]) ).
cnf(refute_0_571,plain,
( join(meet(X_18,X),meet(Y,X)) != meet(X,join(Y,X_18))
| meet(X,join(Y,meet(X_18,X))) != join(meet(X_18,X),meet(Y,X))
| meet(X,join(Y,meet(X_18,X))) = meet(X,join(Y,X_18)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X,join(Y,meet(X_18,X))),join(meet(X_18,X),meet(Y,X))) ),[1],$fot(meet(X,join(Y,X_18)))]]) ).
cnf(refute_0_572,plain,
( meet(X,join(Y,meet(X_18,X))) != join(meet(X_18,X),meet(Y,X))
| meet(X,join(Y,meet(X_18,X))) = meet(X,join(Y,X_18)) ),
inference(resolve,[$cnf( $equal(join(meet(X_18,X),meet(Y,X)),meet(X,join(Y,X_18))) )],[refute_0_570,refute_0_571]) ).
cnf(refute_0_573,plain,
meet(X,join(Y,meet(X_18,X))) = meet(X,join(Y,X_18)),
inference(resolve,[$cnf( $equal(meet(X,join(Y,meet(X_18,X))),join(meet(X_18,X),meet(Y,X))) )],[refute_0_569,refute_0_572]) ).
cnf(refute_0_574,plain,
meet(X_45,join(X_16,meet(X_16,X_45))) = meet(X_45,join(X_16,X_16)),
inference(subst,[],[refute_0_573:[bind(X,$fot(X_45)),bind(Y,$fot(X_16)),bind(X_18,$fot(X_16))]]) ).
cnf(refute_0_575,plain,
meet(X_45,join(meet(X_16,X_45),meet(X_16,X_45))) = meet(X_45,join(X_16,meet(X_16,X_45))),
inference(subst,[],[refute_0_544:[bind(X,$fot(X_45)),bind(Z,$fot(meet(X_16,X_45))),bind(X_18,$fot(X_16))]]) ).
cnf(refute_0_576,plain,
( meet(X_45,join(X_16,meet(X_16,X_45))) != meet(X_45,join(X_16,X_16))
| meet(X_45,join(meet(X_16,X_45),meet(X_16,X_45))) != meet(X_45,join(X_16,meet(X_16,X_45)))
| meet(X_45,join(meet(X_16,X_45),meet(X_16,X_45))) = meet(X_45,join(X_16,X_16)) ),
inference(subst,[],[refute_0_84:[bind(X0,$fot(meet(X_45,join(meet(X_16,X_45),meet(X_16,X_45))))),bind(Y0,$fot(meet(X_45,join(X_16,meet(X_16,X_45))))),bind(Z0,$fot(meet(X_45,join(X_16,X_16))))]]) ).
cnf(refute_0_577,plain,
( meet(X_45,join(X_16,meet(X_16,X_45))) != meet(X_45,join(X_16,X_16))
| meet(X_45,join(meet(X_16,X_45),meet(X_16,X_45))) = meet(X_45,join(X_16,X_16)) ),
inference(resolve,[$cnf( $equal(meet(X_45,join(meet(X_16,X_45),meet(X_16,X_45))),meet(X_45,join(X_16,meet(X_16,X_45)))) )],[refute_0_575,refute_0_576]) ).
cnf(refute_0_578,plain,
meet(X_45,join(meet(X_16,X_45),meet(X_16,X_45))) = meet(X_45,join(X_16,X_16)),
inference(resolve,[$cnf( $equal(meet(X_45,join(X_16,meet(X_16,X_45))),meet(X_45,join(X_16,X_16))) )],[refute_0_574,refute_0_577]) ).
cnf(refute_0_579,plain,
( meet(X_45,join(X_16,X_16)) != meet(X_45,X_16)
| meet(X_45,join(meet(X_16,X_45),meet(X_16,X_45))) != meet(X_45,join(X_16,X_16))
| meet(X_45,join(meet(X_16,X_45),meet(X_16,X_45))) = meet(X_45,X_16) ),
inference(subst,[],[refute_0_84:[bind(X0,$fot(meet(X_45,join(meet(X_16,X_45),meet(X_16,X_45))))),bind(Y0,$fot(meet(X_45,join(X_16,X_16)))),bind(Z0,$fot(meet(X_45,X_16)))]]) ).
cnf(refute_0_580,plain,
( meet(X_45,join(X_16,X_16)) != meet(X_45,X_16)
| meet(X_45,join(meet(X_16,X_45),meet(X_16,X_45))) = meet(X_45,X_16) ),
inference(resolve,[$cnf( $equal(meet(X_45,join(meet(X_16,X_45),meet(X_16,X_45))),meet(X_45,join(X_16,X_16))) )],[refute_0_578,refute_0_579]) ).
cnf(refute_0_581,plain,
meet(X_45,join(meet(X_16,X_45),meet(X_16,X_45))) = meet(X_45,X_16),
inference(resolve,[$cnf( $equal(meet(X_45,join(X_16,X_16)),meet(X_45,X_16)) )],[refute_0_565,refute_0_580]) ).
cnf(refute_0_582,plain,
( meet(X_45,join(meet(X_16,X_45),meet(X_16,X_45))) != join(meet(X_45,join(meet(X_16,X_45),meet(X_16,X_45))),meet(X_16,X_45))
| meet(X_45,join(meet(X_16,X_45),meet(X_16,X_45))) != meet(X_45,X_16)
| meet(X_45,X_16) = join(meet(X_45,join(meet(X_16,X_45),meet(X_16,X_45))),meet(X_16,X_45)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_45,join(meet(X_16,X_45),meet(X_16,X_45))),join(meet(X_45,join(meet(X_16,X_45),meet(X_16,X_45))),meet(X_16,X_45))) ),[0],$fot(meet(X_45,X_16))]]) ).
cnf(refute_0_583,plain,
( meet(X_45,join(meet(X_16,X_45),meet(X_16,X_45))) != join(meet(X_45,join(meet(X_16,X_45),meet(X_16,X_45))),meet(X_16,X_45))
| meet(X_45,X_16) = join(meet(X_45,join(meet(X_16,X_45),meet(X_16,X_45))),meet(X_16,X_45)) ),
inference(resolve,[$cnf( $equal(meet(X_45,join(meet(X_16,X_45),meet(X_16,X_45))),meet(X_45,X_16)) )],[refute_0_581,refute_0_582]) ).
cnf(refute_0_584,plain,
join(meet(X_45,join(meet(X_16,X_45),meet(X_16,X_45))),meet(X_16,X_45)) = join(meet(X_45,join(meet(X_16,X_45),meet(X_16,X_45))),meet(X_16,X_45)),
introduced(tautology,[refl,[$fot(join(meet(X_45,join(meet(X_16,X_45),meet(X_16,X_45))),meet(X_16,X_45)))]]) ).
cnf(refute_0_585,plain,
( join(meet(X_45,join(meet(X_16,X_45),meet(X_16,X_45))),meet(X_16,X_45)) != join(meet(X_45,join(meet(X_16,X_45),meet(X_16,X_45))),meet(X_16,X_45))
| meet(X_45,join(meet(X_16,X_45),meet(X_16,X_45))) != meet(X_45,X_16)
| join(meet(X_45,join(meet(X_16,X_45),meet(X_16,X_45))),meet(X_16,X_45)) = join(meet(X_45,X_16),meet(X_16,X_45)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_45,join(meet(X_16,X_45),meet(X_16,X_45))),meet(X_16,X_45)),join(meet(X_45,join(meet(X_16,X_45),meet(X_16,X_45))),meet(X_16,X_45))) ),[1,0],$fot(meet(X_45,X_16))]]) ).
cnf(refute_0_586,plain,
( meet(X_45,join(meet(X_16,X_45),meet(X_16,X_45))) != meet(X_45,X_16)
| join(meet(X_45,join(meet(X_16,X_45),meet(X_16,X_45))),meet(X_16,X_45)) = join(meet(X_45,X_16),meet(X_16,X_45)) ),
inference(resolve,[$cnf( $equal(join(meet(X_45,join(meet(X_16,X_45),meet(X_16,X_45))),meet(X_16,X_45)),join(meet(X_45,join(meet(X_16,X_45),meet(X_16,X_45))),meet(X_16,X_45))) )],[refute_0_584,refute_0_585]) ).
cnf(refute_0_587,plain,
join(meet(X_45,join(meet(X_16,X_45),meet(X_16,X_45))),meet(X_16,X_45)) = join(meet(X_45,X_16),meet(X_16,X_45)),
inference(resolve,[$cnf( $equal(meet(X_45,join(meet(X_16,X_45),meet(X_16,X_45))),meet(X_45,X_16)) )],[refute_0_581,refute_0_586]) ).
cnf(refute_0_588,plain,
( join(meet(X_45,join(meet(X_16,X_45),meet(X_16,X_45))),meet(X_16,X_45)) != join(meet(X_45,X_16),meet(X_16,X_45))
| meet(X_45,X_16) != join(meet(X_45,join(meet(X_16,X_45),meet(X_16,X_45))),meet(X_16,X_45))
| meet(X_45,X_16) = join(meet(X_45,X_16),meet(X_16,X_45)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_45,X_16),join(meet(X_45,join(meet(X_16,X_45),meet(X_16,X_45))),meet(X_16,X_45))) ),[1],$fot(join(meet(X_45,X_16),meet(X_16,X_45)))]]) ).
cnf(refute_0_589,plain,
( meet(X_45,X_16) != join(meet(X_45,join(meet(X_16,X_45),meet(X_16,X_45))),meet(X_16,X_45))
| meet(X_45,X_16) = join(meet(X_45,X_16),meet(X_16,X_45)) ),
inference(resolve,[$cnf( $equal(join(meet(X_45,join(meet(X_16,X_45),meet(X_16,X_45))),meet(X_16,X_45)),join(meet(X_45,X_16),meet(X_16,X_45))) )],[refute_0_587,refute_0_588]) ).
cnf(refute_0_590,plain,
( meet(X_45,join(meet(X_16,X_45),meet(X_16,X_45))) != join(meet(X_45,join(meet(X_16,X_45),meet(X_16,X_45))),meet(X_16,X_45))
| meet(X_45,X_16) = join(meet(X_45,X_16),meet(X_16,X_45)) ),
inference(resolve,[$cnf( $equal(meet(X_45,X_16),join(meet(X_45,join(meet(X_16,X_45),meet(X_16,X_45))),meet(X_16,X_45))) )],[refute_0_583,refute_0_589]) ).
cnf(refute_0_591,plain,
meet(X_45,X_16) = join(meet(X_45,X_16),meet(X_16,X_45)),
inference(resolve,[$cnf( $equal(meet(X_45,join(meet(X_16,X_45),meet(X_16,X_45))),join(meet(X_45,join(meet(X_16,X_45),meet(X_16,X_45))),meet(X_16,X_45))) )],[refute_0_560,refute_0_590]) ).
cnf(refute_0_592,plain,
( meet(X_45,X_16) != join(meet(X_45,X_16),meet(X_16,X_45))
| join(meet(X_45,X_16),meet(X_16,X_45)) = meet(X_45,X_16) ),
inference(subst,[],[refute_0_24:[bind(X0,$fot(meet(X_45,X_16))),bind(Y0,$fot(join(meet(X_45,X_16),meet(X_16,X_45))))]]) ).
cnf(refute_0_593,plain,
join(meet(X_45,X_16),meet(X_16,X_45)) = meet(X_45,X_16),
inference(resolve,[$cnf( $equal(meet(X_45,X_16),join(meet(X_45,X_16),meet(X_16,X_45))) )],[refute_0_591,refute_0_592]) ).
cnf(refute_0_594,plain,
join(meet(Z,X),meet(X,Z)) = meet(Z,X),
inference(subst,[],[refute_0_593:[bind(X_16,$fot(X)),bind(X_45,$fot(Z))]]) ).
cnf(refute_0_595,plain,
join(Z,Z) = Z,
inference(subst,[],[refute_0_445:[bind(Y,$fot(Z))]]) ).
cnf(refute_0_596,plain,
meet(X,join(Z,Z)) = meet(X,join(Z,Z)),
introduced(tautology,[refl,[$fot(meet(X,join(Z,Z)))]]) ).
cnf(refute_0_597,plain,
( join(Z,Z) != Z
| meet(X,join(Z,Z)) != meet(X,join(Z,Z))
| meet(X,join(Z,Z)) = meet(X,Z) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X,join(Z,Z)),meet(X,join(Z,Z))) ),[1,1],$fot(Z)]]) ).
cnf(refute_0_598,plain,
( join(Z,Z) != Z
| meet(X,join(Z,Z)) = meet(X,Z) ),
inference(resolve,[$cnf( $equal(meet(X,join(Z,Z)),meet(X,join(Z,Z))) )],[refute_0_596,refute_0_597]) ).
cnf(refute_0_599,plain,
meet(X,join(Z,Z)) = meet(X,Z),
inference(resolve,[$cnf( $equal(join(Z,Z),Z) )],[refute_0_595,refute_0_598]) ).
cnf(refute_0_600,plain,
join(meet(Z,X),meet(X,join(Z,Z))) = join(meet(Z,X),meet(X,join(Z,Z))),
introduced(tautology,[refl,[$fot(join(meet(Z,X),meet(X,join(Z,Z))))]]) ).
cnf(refute_0_601,plain,
( join(meet(Z,X),meet(X,join(Z,Z))) != join(meet(Z,X),meet(X,join(Z,Z)))
| meet(X,join(Z,Z)) != meet(X,Z)
| join(meet(Z,X),meet(X,join(Z,Z))) = join(meet(Z,X),meet(X,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(Z,X),meet(X,join(Z,Z))),join(meet(Z,X),meet(X,join(Z,Z)))) ),[1,1],$fot(meet(X,Z))]]) ).
cnf(refute_0_602,plain,
( meet(X,join(Z,Z)) != meet(X,Z)
| join(meet(Z,X),meet(X,join(Z,Z))) = join(meet(Z,X),meet(X,Z)) ),
inference(resolve,[$cnf( $equal(join(meet(Z,X),meet(X,join(Z,Z))),join(meet(Z,X),meet(X,join(Z,Z)))) )],[refute_0_600,refute_0_601]) ).
cnf(refute_0_603,plain,
join(meet(Z,X),meet(X,join(Z,Z))) = join(meet(Z,X),meet(X,Z)),
inference(resolve,[$cnf( $equal(meet(X,join(Z,Z)),meet(X,Z)) )],[refute_0_599,refute_0_602]) ).
cnf(refute_0_604,plain,
( join(meet(Z,X),meet(X,Z)) != meet(Z,X)
| join(meet(Z,X),meet(X,join(Z,Z))) != join(meet(Z,X),meet(X,Z))
| join(meet(Z,X),meet(X,join(Z,Z))) = meet(Z,X) ),
inference(subst,[],[refute_0_84:[bind(X0,$fot(join(meet(Z,X),meet(X,join(Z,Z))))),bind(Y0,$fot(join(meet(Z,X),meet(X,Z)))),bind(Z0,$fot(meet(Z,X)))]]) ).
cnf(refute_0_605,plain,
( join(meet(Z,X),meet(X,Z)) != meet(Z,X)
| join(meet(Z,X),meet(X,join(Z,Z))) = meet(Z,X) ),
inference(resolve,[$cnf( $equal(join(meet(Z,X),meet(X,join(Z,Z))),join(meet(Z,X),meet(X,Z))) )],[refute_0_603,refute_0_604]) ).
cnf(refute_0_606,plain,
join(meet(Z,X),meet(X,join(Z,Z))) = meet(Z,X),
inference(resolve,[$cnf( $equal(join(meet(Z,X),meet(X,Z)),meet(Z,X)) )],[refute_0_594,refute_0_605]) ).
cnf(refute_0_607,plain,
( join(meet(Z,X),meet(X,join(Z,Z))) != meet(X,join(Z,Z))
| join(meet(Z,X),meet(X,join(Z,Z))) != meet(Z,X)
| meet(Z,X) = meet(X,join(Z,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(Z,X),meet(X,join(Z,Z))),meet(X,join(Z,Z))) ),[0],$fot(meet(Z,X))]]) ).
cnf(refute_0_608,plain,
( join(meet(Z,X),meet(X,join(Z,Z))) != meet(X,join(Z,Z))
| meet(Z,X) = meet(X,join(Z,Z)) ),
inference(resolve,[$cnf( $equal(join(meet(Z,X),meet(X,join(Z,Z))),meet(Z,X)) )],[refute_0_606,refute_0_607]) ).
cnf(refute_0_609,plain,
( meet(X,join(Z,Z)) != meet(X,Z)
| meet(Z,X) != meet(X,join(Z,Z))
| meet(Z,X) = meet(X,Z) ),
introduced(tautology,[equality,[$cnf( $equal(meet(Z,X),meet(X,join(Z,Z))) ),[1],$fot(meet(X,Z))]]) ).
cnf(refute_0_610,plain,
( meet(Z,X) != meet(X,join(Z,Z))
| meet(Z,X) = meet(X,Z) ),
inference(resolve,[$cnf( $equal(meet(X,join(Z,Z)),meet(X,Z)) )],[refute_0_599,refute_0_609]) ).
cnf(refute_0_611,plain,
( join(meet(Z,X),meet(X,join(Z,Z))) != meet(X,join(Z,Z))
| meet(Z,X) = meet(X,Z) ),
inference(resolve,[$cnf( $equal(meet(Z,X),meet(X,join(Z,Z))) )],[refute_0_608,refute_0_610]) ).
cnf(refute_0_612,plain,
meet(Z,X) = meet(X,Z),
inference(resolve,[$cnf( $equal(join(meet(Z,X),meet(X,join(Z,Z))),meet(X,join(Z,Z))) )],[refute_0_555,refute_0_611]) ).
cnf(refute_0_613,plain,
( meet(Z,X) != meet(X,Z)
| meet(X,Z) = meet(Z,X) ),
inference(subst,[],[refute_0_24:[bind(X0,$fot(meet(Z,X))),bind(Y0,$fot(meet(X,Z)))]]) ).
cnf(refute_0_614,plain,
meet(X,Z) = meet(Z,X),
inference(resolve,[$cnf( $equal(meet(Z,X),meet(X,Z)) )],[refute_0_612,refute_0_613]) ).
cnf(refute_0_615,plain,
meet(join(meet(Y,join(X_21,X_21)),X_21),join(X_21,X_21)) = meet(join(X_21,X_21),join(meet(Y,join(X_21,X_21)),X_21)),
inference(subst,[],[refute_0_614:[bind(X,$fot(join(meet(Y,join(X_21,X_21)),X_21))),bind(Z,$fot(join(X_21,X_21)))]]) ).
cnf(refute_0_616,plain,
( meet(join(X_21,X_21),join(meet(Y,join(X_21,X_21)),X_21)) != join(X_21,meet(Y,join(X_21,X_21)))
| meet(join(meet(Y,join(X_21,X_21)),X_21),join(X_21,X_21)) != meet(join(X_21,X_21),join(meet(Y,join(X_21,X_21)),X_21))
| meet(join(meet(Y,join(X_21,X_21)),X_21),join(X_21,X_21)) = join(X_21,meet(Y,join(X_21,X_21))) ),
inference(subst,[],[refute_0_84:[bind(X0,$fot(meet(join(meet(Y,join(X_21,X_21)),X_21),join(X_21,X_21)))),bind(Y0,$fot(meet(join(X_21,X_21),join(meet(Y,join(X_21,X_21)),X_21)))),bind(Z0,$fot(join(X_21,meet(Y,join(X_21,X_21)))))]]) ).
cnf(refute_0_617,plain,
( meet(join(X_21,X_21),join(meet(Y,join(X_21,X_21)),X_21)) != join(X_21,meet(Y,join(X_21,X_21)))
| meet(join(meet(Y,join(X_21,X_21)),X_21),join(X_21,X_21)) = join(X_21,meet(Y,join(X_21,X_21))) ),
inference(resolve,[$cnf( $equal(meet(join(meet(Y,join(X_21,X_21)),X_21),join(X_21,X_21)),meet(join(X_21,X_21),join(meet(Y,join(X_21,X_21)),X_21))) )],[refute_0_615,refute_0_616]) ).
cnf(refute_0_618,plain,
meet(join(meet(Y,join(X_21,X_21)),X_21),join(X_21,X_21)) = join(X_21,meet(Y,join(X_21,X_21))),
inference(resolve,[$cnf( $equal(meet(join(X_21,X_21),join(meet(Y,join(X_21,X_21)),X_21)),join(X_21,meet(Y,join(X_21,X_21)))) )],[refute_0_548,refute_0_617]) ).
cnf(refute_0_619,plain,
( join(X_21,meet(Y,join(X_21,X_21))) != join(X_21,meet(Y,X_21))
| meet(join(meet(Y,join(X_21,X_21)),X_21),join(X_21,X_21)) != join(X_21,meet(Y,join(X_21,X_21)))
| meet(join(meet(Y,join(X_21,X_21)),X_21),join(X_21,X_21)) = join(X_21,meet(Y,X_21)) ),
inference(subst,[],[refute_0_84:[bind(X0,$fot(meet(join(meet(Y,join(X_21,X_21)),X_21),join(X_21,X_21)))),bind(Y0,$fot(join(X_21,meet(Y,join(X_21,X_21))))),bind(Z0,$fot(join(X_21,meet(Y,X_21))))]]) ).
cnf(refute_0_620,plain,
( join(X_21,meet(Y,join(X_21,X_21))) != join(X_21,meet(Y,X_21))
| meet(join(meet(Y,join(X_21,X_21)),X_21),join(X_21,X_21)) = join(X_21,meet(Y,X_21)) ),
inference(resolve,[$cnf( $equal(meet(join(meet(Y,join(X_21,X_21)),X_21),join(X_21,X_21)),join(X_21,meet(Y,join(X_21,X_21)))) )],[refute_0_618,refute_0_619]) ).
cnf(refute_0_621,plain,
meet(join(meet(Y,join(X_21,X_21)),X_21),join(X_21,X_21)) = join(X_21,meet(Y,X_21)),
inference(resolve,[$cnf( $equal(join(X_21,meet(Y,join(X_21,X_21))),join(X_21,meet(Y,X_21))) )],[refute_0_534,refute_0_620]) ).
cnf(refute_0_622,plain,
( meet(join(meet(Y,join(X_21,X_21)),X_21),join(X_21,X_21)) != join(X_21,meet(Y,X_21))
| meet(join(meet(Y,join(X_21,X_21)),X_21),join(X_21,X_21)) != join(meet(Y,join(X_21,X_21)),X_21)
| join(X_21,meet(Y,X_21)) = join(meet(Y,join(X_21,X_21)),X_21) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(meet(Y,join(X_21,X_21)),X_21),join(X_21,X_21)),join(meet(Y,join(X_21,X_21)),X_21)) ),[0],$fot(join(X_21,meet(Y,X_21)))]]) ).
cnf(refute_0_623,plain,
( meet(join(meet(Y,join(X_21,X_21)),X_21),join(X_21,X_21)) != join(meet(Y,join(X_21,X_21)),X_21)
| join(X_21,meet(Y,X_21)) = join(meet(Y,join(X_21,X_21)),X_21) ),
inference(resolve,[$cnf( $equal(meet(join(meet(Y,join(X_21,X_21)),X_21),join(X_21,X_21)),join(X_21,meet(Y,X_21))) )],[refute_0_621,refute_0_622]) ).
cnf(refute_0_624,plain,
join(meet(Y,join(X_21,X_21)),X_21) = join(meet(Y,join(X_21,X_21)),X_21),
introduced(tautology,[refl,[$fot(join(meet(Y,join(X_21,X_21)),X_21))]]) ).
cnf(refute_0_625,plain,
( join(meet(Y,join(X_21,X_21)),X_21) != join(meet(Y,join(X_21,X_21)),X_21)
| meet(Y,join(X_21,X_21)) != meet(Y,X_21)
| join(meet(Y,join(X_21,X_21)),X_21) = join(meet(Y,X_21),X_21) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(Y,join(X_21,X_21)),X_21),join(meet(Y,join(X_21,X_21)),X_21)) ),[1,0],$fot(meet(Y,X_21))]]) ).
cnf(refute_0_626,plain,
( meet(Y,join(X_21,X_21)) != meet(Y,X_21)
| join(meet(Y,join(X_21,X_21)),X_21) = join(meet(Y,X_21),X_21) ),
inference(resolve,[$cnf( $equal(join(meet(Y,join(X_21,X_21)),X_21),join(meet(Y,join(X_21,X_21)),X_21)) )],[refute_0_624,refute_0_625]) ).
cnf(refute_0_627,plain,
join(meet(Y,join(X_21,X_21)),X_21) = join(meet(Y,X_21),X_21),
inference(resolve,[$cnf( $equal(meet(Y,join(X_21,X_21)),meet(Y,X_21)) )],[refute_0_530,refute_0_626]) ).
cnf(refute_0_628,plain,
( join(X_21,meet(Y,X_21)) != join(meet(Y,join(X_21,X_21)),X_21)
| join(meet(Y,join(X_21,X_21)),X_21) != join(meet(Y,X_21),X_21)
| join(X_21,meet(Y,X_21)) = join(meet(Y,X_21),X_21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_21,meet(Y,X_21)),join(meet(Y,X_21),X_21)) ),[0],$fot(join(meet(Y,join(X_21,X_21)),X_21))]]) ).
cnf(refute_0_629,plain,
( join(X_21,meet(Y,X_21)) != join(meet(Y,join(X_21,X_21)),X_21)
| join(X_21,meet(Y,X_21)) = join(meet(Y,X_21),X_21) ),
inference(resolve,[$cnf( $equal(join(meet(Y,join(X_21,X_21)),X_21),join(meet(Y,X_21),X_21)) )],[refute_0_627,refute_0_628]) ).
cnf(refute_0_630,plain,
( meet(join(meet(Y,join(X_21,X_21)),X_21),join(X_21,X_21)) != join(meet(Y,join(X_21,X_21)),X_21)
| join(X_21,meet(Y,X_21)) = join(meet(Y,X_21),X_21) ),
inference(resolve,[$cnf( $equal(join(X_21,meet(Y,X_21)),join(meet(Y,join(X_21,X_21)),X_21)) )],[refute_0_623,refute_0_629]) ).
cnf(refute_0_631,plain,
join(X_21,meet(Y,X_21)) = join(meet(Y,X_21),X_21),
inference(resolve,[$cnf( $equal(meet(join(meet(Y,join(X_21,X_21)),X_21),join(X_21,X_21)),join(meet(Y,join(X_21,X_21)),X_21)) )],[refute_0_145,refute_0_630]) ).
cnf(refute_0_632,plain,
( join(X_21,meet(Y,X_21)) != join(meet(Y,X_21),X_21)
| join(meet(Y,X_21),X_21) = join(X_21,meet(Y,X_21)) ),
inference(subst,[],[refute_0_24:[bind(X0,$fot(join(X_21,meet(Y,X_21)))),bind(Y0,$fot(join(meet(Y,X_21),X_21)))]]) ).
cnf(refute_0_633,plain,
join(meet(Y,X_21),X_21) = join(X_21,meet(Y,X_21)),
inference(resolve,[$cnf( $equal(join(X_21,meet(Y,X_21)),join(meet(Y,X_21),X_21)) )],[refute_0_631,refute_0_632]) ).
cnf(refute_0_634,plain,
join(meet(Z,join(X_29,X_29)),join(X_29,X_29)) = join(join(X_29,X_29),meet(Z,join(X_29,X_29))),
inference(subst,[],[refute_0_633:[bind(Y,$fot(Z)),bind(X_21,$fot(join(X_29,X_29)))]]) ).
cnf(refute_0_635,plain,
( join(join(X_29,X_29),meet(Z,join(X_29,X_29))) != join(X_29,meet(Z,X_29))
| join(meet(Z,join(X_29,X_29)),join(X_29,X_29)) != join(join(X_29,X_29),meet(Z,join(X_29,X_29)))
| join(meet(Z,join(X_29,X_29)),join(X_29,X_29)) = join(X_29,meet(Z,X_29)) ),
inference(subst,[],[refute_0_84:[bind(X0,$fot(join(meet(Z,join(X_29,X_29)),join(X_29,X_29)))),bind(Y0,$fot(join(join(X_29,X_29),meet(Z,join(X_29,X_29))))),bind(Z0,$fot(join(X_29,meet(Z,X_29))))]]) ).
cnf(refute_0_636,plain,
( join(join(X_29,X_29),meet(Z,join(X_29,X_29))) != join(X_29,meet(Z,X_29))
| join(meet(Z,join(X_29,X_29)),join(X_29,X_29)) = join(X_29,meet(Z,X_29)) ),
inference(resolve,[$cnf( $equal(join(meet(Z,join(X_29,X_29)),join(X_29,X_29)),join(join(X_29,X_29),meet(Z,join(X_29,X_29)))) )],[refute_0_634,refute_0_635]) ).
cnf(refute_0_637,plain,
join(meet(Z,join(X_29,X_29)),join(X_29,X_29)) = join(X_29,meet(Z,X_29)),
inference(resolve,[$cnf( $equal(join(join(X_29,X_29),meet(Z,join(X_29,X_29))),join(X_29,meet(Z,X_29))) )],[refute_0_525,refute_0_636]) ).
cnf(refute_0_638,plain,
( X_29 != join(meet(Z,join(X_29,X_29)),join(X_29,X_29))
| join(meet(Z,join(X_29,X_29)),join(X_29,X_29)) != join(X_29,meet(Z,X_29))
| X_29 = join(X_29,meet(Z,X_29)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_29,join(X_29,meet(Z,X_29))) ),[0],$fot(join(meet(Z,join(X_29,X_29)),join(X_29,X_29)))]]) ).
cnf(refute_0_639,plain,
( X_29 != join(meet(Z,join(X_29,X_29)),join(X_29,X_29))
| X_29 = join(X_29,meet(Z,X_29)) ),
inference(resolve,[$cnf( $equal(join(meet(Z,join(X_29,X_29)),join(X_29,X_29)),join(X_29,meet(Z,X_29))) )],[refute_0_637,refute_0_638]) ).
cnf(refute_0_640,plain,
( join(X_29,X_29) != join(meet(Z,join(X_29,X_29)),join(X_29,X_29))
| X_29 = join(X_29,meet(Z,X_29)) ),
inference(resolve,[$cnf( $equal(X_29,join(meet(Z,join(X_29,X_29)),join(X_29,X_29))) )],[refute_0_510,refute_0_639]) ).
cnf(refute_0_641,plain,
X_29 = join(X_29,meet(Z,X_29)),
inference(resolve,[$cnf( $equal(join(X_29,X_29),join(meet(Z,join(X_29,X_29)),join(X_29,X_29))) )],[refute_0_508,refute_0_640]) ).
cnf(refute_0_642,plain,
( X_29 != join(X_29,meet(Z,X_29))
| join(X_29,meet(Z,X_29)) = X_29 ),
inference(subst,[],[refute_0_24:[bind(X0,$fot(X_29)),bind(Y0,$fot(join(X_29,meet(Z,X_29))))]]) ).
cnf(refute_0_643,plain,
join(X_29,meet(Z,X_29)) = X_29,
inference(resolve,[$cnf( $equal(X_29,join(X_29,meet(Z,X_29))) )],[refute_0_641,refute_0_642]) ).
cnf(refute_0_644,plain,
join(X_29,meet(Y,X_29)) = X_29,
inference(subst,[],[refute_0_643:[bind(Z,$fot(Y))]]) ).
cnf(refute_0_645,plain,
( join(X_29,meet(Y,X_29)) != X_29
| meet(X_29,join(Y,X_29)) != join(X_29,meet(Y,X_29))
| meet(X_29,join(Y,X_29)) = X_29 ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_29,join(Y,X_29)),join(X_29,meet(Y,X_29))) ),[1],$fot(X_29)]]) ).
cnf(refute_0_646,plain,
( meet(X_29,join(Y,X_29)) != join(X_29,meet(Y,X_29))
| meet(X_29,join(Y,X_29)) = X_29 ),
inference(resolve,[$cnf( $equal(join(X_29,meet(Y,X_29)),X_29) )],[refute_0_644,refute_0_645]) ).
cnf(refute_0_647,plain,
meet(X_29,join(Y,X_29)) = X_29,
inference(resolve,[$cnf( $equal(meet(X_29,join(Y,X_29)),join(X_29,meet(Y,X_29))) )],[refute_0_482,refute_0_646]) ).
cnf(refute_0_648,plain,
meet(Y,join(X_3,Y)) = Y,
inference(subst,[],[refute_0_647:[bind(Y,$fot(X_3)),bind(X_29,$fot(Y))]]) ).
cnf(refute_0_649,plain,
join(X_3,meet(Y,join(X_3,Y))) = join(X_3,meet(Y,join(X_3,Y))),
introduced(tautology,[refl,[$fot(join(X_3,meet(Y,join(X_3,Y))))]]) ).
cnf(refute_0_650,plain,
( join(X_3,meet(Y,join(X_3,Y))) != join(X_3,meet(Y,join(X_3,Y)))
| meet(Y,join(X_3,Y)) != Y
| join(X_3,meet(Y,join(X_3,Y))) = join(X_3,Y) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_3,meet(Y,join(X_3,Y))),join(X_3,meet(Y,join(X_3,Y)))) ),[1,1],$fot(Y)]]) ).
cnf(refute_0_651,plain,
( meet(Y,join(X_3,Y)) != Y
| join(X_3,meet(Y,join(X_3,Y))) = join(X_3,Y) ),
inference(resolve,[$cnf( $equal(join(X_3,meet(Y,join(X_3,Y))),join(X_3,meet(Y,join(X_3,Y)))) )],[refute_0_649,refute_0_650]) ).
cnf(refute_0_652,plain,
join(X_3,meet(Y,join(X_3,Y))) = join(X_3,Y),
inference(resolve,[$cnf( $equal(meet(Y,join(X_3,Y)),Y) )],[refute_0_648,refute_0_651]) ).
cnf(refute_0_653,plain,
meet(X_3,join(meet(Y,join(X_3,Y)),X_3)) = X_3,
inference(subst,[],[refute_0_647:[bind(Y,$fot(meet(Y,join(X_3,Y)))),bind(X_29,$fot(X_3))]]) ).
cnf(refute_0_654,plain,
join(meet(X_3,join(meet(Y,join(X_3,Y)),X_3)),meet(Y,join(X_3,Y))) = join(meet(X_3,join(meet(Y,join(X_3,Y)),X_3)),meet(Y,join(X_3,Y))),
introduced(tautology,[refl,[$fot(join(meet(X_3,join(meet(Y,join(X_3,Y)),X_3)),meet(Y,join(X_3,Y))))]]) ).
cnf(refute_0_655,plain,
( join(meet(X_3,join(meet(Y,join(X_3,Y)),X_3)),meet(Y,join(X_3,Y))) != join(meet(X_3,join(meet(Y,join(X_3,Y)),X_3)),meet(Y,join(X_3,Y)))
| meet(X_3,join(meet(Y,join(X_3,Y)),X_3)) != X_3
| join(meet(X_3,join(meet(Y,join(X_3,Y)),X_3)),meet(Y,join(X_3,Y))) = join(X_3,meet(Y,join(X_3,Y))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_3,join(meet(Y,join(X_3,Y)),X_3)),meet(Y,join(X_3,Y))),join(meet(X_3,join(meet(Y,join(X_3,Y)),X_3)),meet(Y,join(X_3,Y)))) ),[1,0],$fot(X_3)]]) ).
cnf(refute_0_656,plain,
( meet(X_3,join(meet(Y,join(X_3,Y)),X_3)) != X_3
| join(meet(X_3,join(meet(Y,join(X_3,Y)),X_3)),meet(Y,join(X_3,Y))) = join(X_3,meet(Y,join(X_3,Y))) ),
inference(resolve,[$cnf( $equal(join(meet(X_3,join(meet(Y,join(X_3,Y)),X_3)),meet(Y,join(X_3,Y))),join(meet(X_3,join(meet(Y,join(X_3,Y)),X_3)),meet(Y,join(X_3,Y)))) )],[refute_0_654,refute_0_655]) ).
cnf(refute_0_657,plain,
join(meet(X_3,join(meet(Y,join(X_3,Y)),X_3)),meet(Y,join(X_3,Y))) = join(X_3,meet(Y,join(X_3,Y))),
inference(resolve,[$cnf( $equal(meet(X_3,join(meet(Y,join(X_3,Y)),X_3)),X_3) )],[refute_0_653,refute_0_656]) ).
cnf(refute_0_658,plain,
( join(X_3,meet(Y,join(X_3,Y))) != join(X_3,Y)
| join(meet(X_3,join(meet(Y,join(X_3,Y)),X_3)),meet(Y,join(X_3,Y))) != join(X_3,meet(Y,join(X_3,Y)))
| join(meet(X_3,join(meet(Y,join(X_3,Y)),X_3)),meet(Y,join(X_3,Y))) = join(X_3,Y) ),
inference(subst,[],[refute_0_84:[bind(X0,$fot(join(meet(X_3,join(meet(Y,join(X_3,Y)),X_3)),meet(Y,join(X_3,Y))))),bind(Y0,$fot(join(X_3,meet(Y,join(X_3,Y))))),bind(Z0,$fot(join(X_3,Y)))]]) ).
cnf(refute_0_659,plain,
( join(X_3,meet(Y,join(X_3,Y))) != join(X_3,Y)
| join(meet(X_3,join(meet(Y,join(X_3,Y)),X_3)),meet(Y,join(X_3,Y))) = join(X_3,Y) ),
inference(resolve,[$cnf( $equal(join(meet(X_3,join(meet(Y,join(X_3,Y)),X_3)),meet(Y,join(X_3,Y))),join(X_3,meet(Y,join(X_3,Y)))) )],[refute_0_657,refute_0_658]) ).
cnf(refute_0_660,plain,
join(meet(X_3,join(meet(Y,join(X_3,Y)),X_3)),meet(Y,join(X_3,Y))) = join(X_3,Y),
inference(resolve,[$cnf( $equal(join(X_3,meet(Y,join(X_3,Y))),join(X_3,Y)) )],[refute_0_652,refute_0_659]) ).
cnf(refute_0_661,plain,
( join(meet(X_3,join(meet(Y,join(X_3,Y)),X_3)),meet(Y,join(X_3,Y))) != join(X_3,Y)
| join(meet(X_3,join(meet(Y,join(X_3,Y)),X_3)),meet(Y,join(X_3,Y))) != join(meet(Y,join(X_3,Y)),X_3)
| join(X_3,Y) = join(meet(Y,join(X_3,Y)),X_3) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_3,join(meet(Y,join(X_3,Y)),X_3)),meet(Y,join(X_3,Y))),join(meet(Y,join(X_3,Y)),X_3)) ),[0],$fot(join(X_3,Y))]]) ).
cnf(refute_0_662,plain,
( join(meet(X_3,join(meet(Y,join(X_3,Y)),X_3)),meet(Y,join(X_3,Y))) != join(meet(Y,join(X_3,Y)),X_3)
| join(X_3,Y) = join(meet(Y,join(X_3,Y)),X_3) ),
inference(resolve,[$cnf( $equal(join(meet(X_3,join(meet(Y,join(X_3,Y)),X_3)),meet(Y,join(X_3,Y))),join(X_3,Y)) )],[refute_0_660,refute_0_661]) ).
cnf(refute_0_663,plain,
join(meet(Y,join(X_3,Y)),X_3) = join(meet(Y,join(X_3,Y)),X_3),
introduced(tautology,[refl,[$fot(join(meet(Y,join(X_3,Y)),X_3))]]) ).
cnf(refute_0_664,plain,
( join(meet(Y,join(X_3,Y)),X_3) != join(meet(Y,join(X_3,Y)),X_3)
| meet(Y,join(X_3,Y)) != Y
| join(meet(Y,join(X_3,Y)),X_3) = join(Y,X_3) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(Y,join(X_3,Y)),X_3),join(meet(Y,join(X_3,Y)),X_3)) ),[1,0],$fot(Y)]]) ).
cnf(refute_0_665,plain,
( meet(Y,join(X_3,Y)) != Y
| join(meet(Y,join(X_3,Y)),X_3) = join(Y,X_3) ),
inference(resolve,[$cnf( $equal(join(meet(Y,join(X_3,Y)),X_3),join(meet(Y,join(X_3,Y)),X_3)) )],[refute_0_663,refute_0_664]) ).
cnf(refute_0_666,plain,
join(meet(Y,join(X_3,Y)),X_3) = join(Y,X_3),
inference(resolve,[$cnf( $equal(meet(Y,join(X_3,Y)),Y) )],[refute_0_648,refute_0_665]) ).
cnf(refute_0_667,plain,
( join(X_3,Y) != join(meet(Y,join(X_3,Y)),X_3)
| join(meet(Y,join(X_3,Y)),X_3) != join(Y,X_3)
| join(X_3,Y) = join(Y,X_3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_3,Y),join(Y,X_3)) ),[0],$fot(join(meet(Y,join(X_3,Y)),X_3))]]) ).
cnf(refute_0_668,plain,
( join(X_3,Y) != join(meet(Y,join(X_3,Y)),X_3)
| join(X_3,Y) = join(Y,X_3) ),
inference(resolve,[$cnf( $equal(join(meet(Y,join(X_3,Y)),X_3),join(Y,X_3)) )],[refute_0_666,refute_0_667]) ).
cnf(refute_0_669,plain,
( join(meet(X_3,join(meet(Y,join(X_3,Y)),X_3)),meet(Y,join(X_3,Y))) != join(meet(Y,join(X_3,Y)),X_3)
| join(X_3,Y) = join(Y,X_3) ),
inference(resolve,[$cnf( $equal(join(X_3,Y),join(meet(Y,join(X_3,Y)),X_3)) )],[refute_0_662,refute_0_668]) ).
cnf(refute_0_670,plain,
join(X_3,Y) = join(Y,X_3),
inference(resolve,[$cnf( $equal(join(meet(X_3,join(meet(Y,join(X_3,Y)),X_3)),meet(Y,join(X_3,Y))),join(meet(Y,join(X_3,Y)),X_3)) )],[refute_0_93,refute_0_669]) ).
cnf(refute_0_671,plain,
( join(X_3,Y) != join(Y,X_3)
| join(Y,X_3) = join(X_3,Y) ),
inference(subst,[],[refute_0_24:[bind(X0,$fot(join(X_3,Y))),bind(Y0,$fot(join(Y,X_3)))]]) ).
cnf(refute_0_672,plain,
join(Y,X_3) = join(X_3,Y),
inference(resolve,[$cnf( $equal(join(X_3,Y),join(Y,X_3)) )],[refute_0_670,refute_0_671]) ).
cnf(refute_0_673,plain,
join(meet(X_7,join(X_6,X_5)),X_6) = join(X_6,meet(X_7,join(X_6,X_5))),
inference(subst,[],[refute_0_672:[bind(Y,$fot(meet(X_7,join(X_6,X_5)))),bind(X_3,$fot(X_6))]]) ).
cnf(refute_0_674,plain,
join(join(meet(X_7,join(X_6,X_5)),X_6),meet(Y,join(X_6,X_7))) = join(join(meet(X_7,join(X_6,X_5)),X_6),meet(Y,join(X_6,X_7))),
introduced(tautology,[refl,[$fot(join(join(meet(X_7,join(X_6,X_5)),X_6),meet(Y,join(X_6,X_7))))]]) ).
cnf(refute_0_675,plain,
( join(join(meet(X_7,join(X_6,X_5)),X_6),meet(Y,join(X_6,X_7))) != join(join(meet(X_7,join(X_6,X_5)),X_6),meet(Y,join(X_6,X_7)))
| join(meet(X_7,join(X_6,X_5)),X_6) != join(X_6,meet(X_7,join(X_6,X_5)))
| join(join(meet(X_7,join(X_6,X_5)),X_6),meet(Y,join(X_6,X_7))) = join(join(X_6,meet(X_7,join(X_6,X_5))),meet(Y,join(X_6,X_7))) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(meet(X_7,join(X_6,X_5)),X_6),meet(Y,join(X_6,X_7))),join(join(meet(X_7,join(X_6,X_5)),X_6),meet(Y,join(X_6,X_7)))) ),[1,0],$fot(join(X_6,meet(X_7,join(X_6,X_5))))]]) ).
cnf(refute_0_676,plain,
( join(meet(X_7,join(X_6,X_5)),X_6) != join(X_6,meet(X_7,join(X_6,X_5)))
| join(join(meet(X_7,join(X_6,X_5)),X_6),meet(Y,join(X_6,X_7))) = join(join(X_6,meet(X_7,join(X_6,X_5))),meet(Y,join(X_6,X_7))) ),
inference(resolve,[$cnf( $equal(join(join(meet(X_7,join(X_6,X_5)),X_6),meet(Y,join(X_6,X_7))),join(join(meet(X_7,join(X_6,X_5)),X_6),meet(Y,join(X_6,X_7)))) )],[refute_0_674,refute_0_675]) ).
cnf(refute_0_677,plain,
join(join(meet(X_7,join(X_6,X_5)),X_6),meet(Y,join(X_6,X_7))) = join(join(X_6,meet(X_7,join(X_6,X_5))),meet(Y,join(X_6,X_7))),
inference(resolve,[$cnf( $equal(join(meet(X_7,join(X_6,X_5)),X_6),join(X_6,meet(X_7,join(X_6,X_5)))) )],[refute_0_673,refute_0_676]) ).
cnf(refute_0_678,plain,
( join(join(meet(X_7,join(X_6,X_5)),X_6),meet(Y,join(X_6,X_7))) != join(join(X_6,meet(X_7,join(X_6,X_5))),meet(Y,join(X_6,X_7)))
| meet(join(X_6,X_7),join(Y,join(X_6,X_5))) != join(join(meet(X_7,join(X_6,X_5)),X_6),meet(Y,join(X_6,X_7)))
| meet(join(X_6,X_7),join(Y,join(X_6,X_5))) = join(join(X_6,meet(X_7,join(X_6,X_5))),meet(Y,join(X_6,X_7))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_6,X_7),join(Y,join(X_6,X_5))),join(join(meet(X_7,join(X_6,X_5)),X_6),meet(Y,join(X_6,X_7)))) ),[1],$fot(join(join(X_6,meet(X_7,join(X_6,X_5))),meet(Y,join(X_6,X_7))))]]) ).
cnf(refute_0_679,plain,
( meet(join(X_6,X_7),join(Y,join(X_6,X_5))) != join(join(meet(X_7,join(X_6,X_5)),X_6),meet(Y,join(X_6,X_7)))
| meet(join(X_6,X_7),join(Y,join(X_6,X_5))) = join(join(X_6,meet(X_7,join(X_6,X_5))),meet(Y,join(X_6,X_7))) ),
inference(resolve,[$cnf( $equal(join(join(meet(X_7,join(X_6,X_5)),X_6),meet(Y,join(X_6,X_7))),join(join(X_6,meet(X_7,join(X_6,X_5))),meet(Y,join(X_6,X_7)))) )],[refute_0_677,refute_0_678]) ).
cnf(refute_0_680,plain,
meet(join(X_6,X_7),join(Y,join(X_6,X_5))) = join(join(X_6,meet(X_7,join(X_6,X_5))),meet(Y,join(X_6,X_7))),
inference(resolve,[$cnf( $equal(meet(join(X_6,X_7),join(Y,join(X_6,X_5))),join(join(meet(X_7,join(X_6,X_5)),X_6),meet(Y,join(X_6,X_7)))) )],[refute_0_19,refute_0_679]) ).
cnf(refute_0_681,plain,
meet(join(X_65,X_66),join(X_63,join(X_65,X_64))) = join(join(X_65,meet(X_66,join(X_65,X_64))),meet(X_63,join(X_65,X_66))),
inference(subst,[],[refute_0_680:[bind(Y,$fot(X_63)),bind(X_5,$fot(X_64)),bind(X_6,$fot(X_65)),bind(X_7,$fot(X_66))]]) ).
cnf(refute_0_682,plain,
meet(X_8,join(Y,X_8)) = join(X_8,meet(Y,X_8)),
inference(subst,[],[refute_0_482:[bind(X_29,$fot(X_8))]]) ).
cnf(refute_0_683,plain,
join(meet(X_8,join(Y,X_8)),Y) = join(meet(X_8,join(Y,X_8)),Y),
introduced(tautology,[refl,[$fot(join(meet(X_8,join(Y,X_8)),Y))]]) ).
cnf(refute_0_684,plain,
( join(meet(X_8,join(Y,X_8)),Y) != join(meet(X_8,join(Y,X_8)),Y)
| meet(X_8,join(Y,X_8)) != join(X_8,meet(Y,X_8))
| join(meet(X_8,join(Y,X_8)),Y) = join(join(X_8,meet(Y,X_8)),Y) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_8,join(Y,X_8)),Y),join(meet(X_8,join(Y,X_8)),Y)) ),[1,0],$fot(join(X_8,meet(Y,X_8)))]]) ).
cnf(refute_0_685,plain,
( meet(X_8,join(Y,X_8)) != join(X_8,meet(Y,X_8))
| join(meet(X_8,join(Y,X_8)),Y) = join(join(X_8,meet(Y,X_8)),Y) ),
inference(resolve,[$cnf( $equal(join(meet(X_8,join(Y,X_8)),Y),join(meet(X_8,join(Y,X_8)),Y)) )],[refute_0_683,refute_0_684]) ).
cnf(refute_0_686,plain,
join(meet(X_8,join(Y,X_8)),Y) = join(join(X_8,meet(Y,X_8)),Y),
inference(resolve,[$cnf( $equal(meet(X_8,join(Y,X_8)),join(X_8,meet(Y,X_8))) )],[refute_0_682,refute_0_685]) ).
cnf(refute_0_687,plain,
join(Y,join(meet(X_8,join(Y,X_8)),Y)) = join(Y,join(meet(X_8,join(Y,X_8)),Y)),
introduced(tautology,[refl,[$fot(join(Y,join(meet(X_8,join(Y,X_8)),Y)))]]) ).
cnf(refute_0_688,plain,
( join(Y,join(meet(X_8,join(Y,X_8)),Y)) != join(Y,join(meet(X_8,join(Y,X_8)),Y))
| join(meet(X_8,join(Y,X_8)),Y) != join(join(X_8,meet(Y,X_8)),Y)
| join(Y,join(meet(X_8,join(Y,X_8)),Y)) = join(Y,join(join(X_8,meet(Y,X_8)),Y)) ),
introduced(tautology,[equality,[$cnf( $equal(join(Y,join(meet(X_8,join(Y,X_8)),Y)),join(Y,join(meet(X_8,join(Y,X_8)),Y))) ),[1,1],$fot(join(join(X_8,meet(Y,X_8)),Y))]]) ).
cnf(refute_0_689,plain,
( join(meet(X_8,join(Y,X_8)),Y) != join(join(X_8,meet(Y,X_8)),Y)
| join(Y,join(meet(X_8,join(Y,X_8)),Y)) = join(Y,join(join(X_8,meet(Y,X_8)),Y)) ),
inference(resolve,[$cnf( $equal(join(Y,join(meet(X_8,join(Y,X_8)),Y)),join(Y,join(meet(X_8,join(Y,X_8)),Y))) )],[refute_0_687,refute_0_688]) ).
cnf(refute_0_690,plain,
join(Y,join(meet(X_8,join(Y,X_8)),Y)) = join(Y,join(join(X_8,meet(Y,X_8)),Y)),
inference(resolve,[$cnf( $equal(join(meet(X_8,join(Y,X_8)),Y),join(join(X_8,meet(Y,X_8)),Y)) )],[refute_0_686,refute_0_689]) ).
cnf(refute_0_691,plain,
( join(Y,join(meet(X_8,join(Y,X_8)),Y)) != join(Y,X_8)
| join(Y,join(meet(X_8,join(Y,X_8)),Y)) != join(Y,join(join(X_8,meet(Y,X_8)),Y))
| join(Y,join(join(X_8,meet(Y,X_8)),Y)) = join(Y,X_8) ),
introduced(tautology,[equality,[$cnf( $equal(join(Y,join(meet(X_8,join(Y,X_8)),Y)),join(Y,X_8)) ),[0],$fot(join(Y,join(join(X_8,meet(Y,X_8)),Y)))]]) ).
cnf(refute_0_692,plain,
( join(Y,join(meet(X_8,join(Y,X_8)),Y)) != join(Y,X_8)
| join(Y,join(join(X_8,meet(Y,X_8)),Y)) = join(Y,X_8) ),
inference(resolve,[$cnf( $equal(join(Y,join(meet(X_8,join(Y,X_8)),Y)),join(Y,join(join(X_8,meet(Y,X_8)),Y))) )],[refute_0_690,refute_0_691]) ).
cnf(refute_0_693,plain,
join(Y,join(join(X_8,meet(Y,X_8)),Y)) = join(Y,X_8),
inference(resolve,[$cnf( $equal(join(Y,join(meet(X_8,join(Y,X_8)),Y)),join(Y,X_8)) )],[refute_0_108,refute_0_692]) ).
cnf(refute_0_694,plain,
join(X_8,meet(Y,X_8)) = X_8,
inference(subst,[],[refute_0_643:[bind(Z,$fot(Y)),bind(X_29,$fot(X_8))]]) ).
cnf(refute_0_695,plain,
join(join(X_8,meet(Y,X_8)),Y) = join(join(X_8,meet(Y,X_8)),Y),
introduced(tautology,[refl,[$fot(join(join(X_8,meet(Y,X_8)),Y))]]) ).
cnf(refute_0_696,plain,
( join(X_8,meet(Y,X_8)) != X_8
| join(join(X_8,meet(Y,X_8)),Y) != join(join(X_8,meet(Y,X_8)),Y)
| join(join(X_8,meet(Y,X_8)),Y) = join(X_8,Y) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(X_8,meet(Y,X_8)),Y),join(join(X_8,meet(Y,X_8)),Y)) ),[1,0],$fot(X_8)]]) ).
cnf(refute_0_697,plain,
( join(X_8,meet(Y,X_8)) != X_8
| join(join(X_8,meet(Y,X_8)),Y) = join(X_8,Y) ),
inference(resolve,[$cnf( $equal(join(join(X_8,meet(Y,X_8)),Y),join(join(X_8,meet(Y,X_8)),Y)) )],[refute_0_695,refute_0_696]) ).
cnf(refute_0_698,plain,
join(join(X_8,meet(Y,X_8)),Y) = join(X_8,Y),
inference(resolve,[$cnf( $equal(join(X_8,meet(Y,X_8)),X_8) )],[refute_0_694,refute_0_697]) ).
cnf(refute_0_699,plain,
join(Y,join(join(X_8,meet(Y,X_8)),Y)) = join(Y,join(join(X_8,meet(Y,X_8)),Y)),
introduced(tautology,[refl,[$fot(join(Y,join(join(X_8,meet(Y,X_8)),Y)))]]) ).
cnf(refute_0_700,plain,
( join(Y,join(join(X_8,meet(Y,X_8)),Y)) != join(Y,join(join(X_8,meet(Y,X_8)),Y))
| join(join(X_8,meet(Y,X_8)),Y) != join(X_8,Y)
| join(Y,join(join(X_8,meet(Y,X_8)),Y)) = join(Y,join(X_8,Y)) ),
introduced(tautology,[equality,[$cnf( $equal(join(Y,join(join(X_8,meet(Y,X_8)),Y)),join(Y,join(join(X_8,meet(Y,X_8)),Y))) ),[1,1],$fot(join(X_8,Y))]]) ).
cnf(refute_0_701,plain,
( join(join(X_8,meet(Y,X_8)),Y) != join(X_8,Y)
| join(Y,join(join(X_8,meet(Y,X_8)),Y)) = join(Y,join(X_8,Y)) ),
inference(resolve,[$cnf( $equal(join(Y,join(join(X_8,meet(Y,X_8)),Y)),join(Y,join(join(X_8,meet(Y,X_8)),Y))) )],[refute_0_699,refute_0_700]) ).
cnf(refute_0_702,plain,
join(Y,join(join(X_8,meet(Y,X_8)),Y)) = join(Y,join(X_8,Y)),
inference(resolve,[$cnf( $equal(join(join(X_8,meet(Y,X_8)),Y),join(X_8,Y)) )],[refute_0_698,refute_0_701]) ).
cnf(refute_0_703,plain,
( join(Y,join(join(X_8,meet(Y,X_8)),Y)) != join(Y,X_8)
| join(Y,join(join(X_8,meet(Y,X_8)),Y)) != join(Y,join(X_8,Y))
| join(Y,join(X_8,Y)) = join(Y,X_8) ),
introduced(tautology,[equality,[$cnf( $equal(join(Y,join(join(X_8,meet(Y,X_8)),Y)),join(Y,X_8)) ),[0],$fot(join(Y,join(X_8,Y)))]]) ).
cnf(refute_0_704,plain,
( join(Y,join(join(X_8,meet(Y,X_8)),Y)) != join(Y,X_8)
| join(Y,join(X_8,Y)) = join(Y,X_8) ),
inference(resolve,[$cnf( $equal(join(Y,join(join(X_8,meet(Y,X_8)),Y)),join(Y,join(X_8,Y))) )],[refute_0_702,refute_0_703]) ).
cnf(refute_0_705,plain,
join(Y,join(X_8,Y)) = join(Y,X_8),
inference(resolve,[$cnf( $equal(join(Y,join(join(X_8,meet(Y,X_8)),Y)),join(Y,X_8)) )],[refute_0_693,refute_0_704]) ).
cnf(refute_0_706,plain,
join(join(X_52,X_8),join(X_8,join(X_52,X_8))) = join(join(X_52,X_8),X_8),
inference(subst,[],[refute_0_705:[bind(Y,$fot(join(X_52,X_8)))]]) ).
cnf(refute_0_707,plain,
join(X_8,join(X_52,X_8)) = join(X_8,X_52),
inference(subst,[],[refute_0_705:[bind(Y,$fot(X_8)),bind(X_8,$fot(X_52))]]) ).
cnf(refute_0_708,plain,
( join(X_8,join(X_52,X_8)) != join(X_8,X_52)
| join(join(X_52,X_8),join(X_8,join(X_52,X_8))) != join(join(X_52,X_8),X_8)
| join(join(X_52,X_8),join(X_8,X_52)) = join(join(X_52,X_8),X_8) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(X_52,X_8),join(X_8,join(X_52,X_8))),join(join(X_52,X_8),X_8)) ),[0,1],$fot(join(X_8,X_52))]]) ).
cnf(refute_0_709,plain,
( join(join(X_52,X_8),join(X_8,join(X_52,X_8))) != join(join(X_52,X_8),X_8)
| join(join(X_52,X_8),join(X_8,X_52)) = join(join(X_52,X_8),X_8) ),
inference(resolve,[$cnf( $equal(join(X_8,join(X_52,X_8)),join(X_8,X_52)) )],[refute_0_707,refute_0_708]) ).
cnf(refute_0_710,plain,
join(join(X_52,X_8),join(X_8,X_52)) = join(join(X_52,X_8),X_8),
inference(resolve,[$cnf( $equal(join(join(X_52,X_8),join(X_8,join(X_52,X_8))),join(join(X_52,X_8),X_8)) )],[refute_0_706,refute_0_709]) ).
cnf(refute_0_711,plain,
join(join(X_52,X_8),X_8) = join(X_8,join(X_52,X_8)),
inference(subst,[],[refute_0_672:[bind(Y,$fot(join(X_52,X_8))),bind(X_3,$fot(X_8))]]) ).
cnf(refute_0_712,plain,
( join(X_8,join(X_52,X_8)) != join(X_8,X_52)
| join(join(X_52,X_8),X_8) != join(X_8,join(X_52,X_8))
| join(join(X_52,X_8),X_8) = join(X_8,X_52) ),
inference(subst,[],[refute_0_84:[bind(X0,$fot(join(join(X_52,X_8),X_8))),bind(Y0,$fot(join(X_8,join(X_52,X_8)))),bind(Z0,$fot(join(X_8,X_52)))]]) ).
cnf(refute_0_713,plain,
( join(X_8,join(X_52,X_8)) != join(X_8,X_52)
| join(join(X_52,X_8),X_8) = join(X_8,X_52) ),
inference(resolve,[$cnf( $equal(join(join(X_52,X_8),X_8),join(X_8,join(X_52,X_8))) )],[refute_0_711,refute_0_712]) ).
cnf(refute_0_714,plain,
join(join(X_52,X_8),X_8) = join(X_8,X_52),
inference(resolve,[$cnf( $equal(join(X_8,join(X_52,X_8)),join(X_8,X_52)) )],[refute_0_707,refute_0_713]) ).
cnf(refute_0_715,plain,
( join(join(X_52,X_8),X_8) != join(X_8,X_52)
| join(join(X_52,X_8),join(X_8,X_52)) != join(join(X_52,X_8),X_8)
| join(join(X_52,X_8),join(X_8,X_52)) = join(X_8,X_52) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(X_52,X_8),join(X_8,X_52)),join(join(X_52,X_8),X_8)) ),[1],$fot(join(X_8,X_52))]]) ).
cnf(refute_0_716,plain,
( join(join(X_52,X_8),join(X_8,X_52)) != join(join(X_52,X_8),X_8)
| join(join(X_52,X_8),join(X_8,X_52)) = join(X_8,X_52) ),
inference(resolve,[$cnf( $equal(join(join(X_52,X_8),X_8),join(X_8,X_52)) )],[refute_0_714,refute_0_715]) ).
cnf(refute_0_717,plain,
join(join(X_52,X_8),join(X_8,X_52)) = join(X_8,X_52),
inference(resolve,[$cnf( $equal(join(join(X_52,X_8),join(X_8,X_52)),join(join(X_52,X_8),X_8)) )],[refute_0_710,refute_0_716]) ).
cnf(refute_0_718,plain,
join(join(join(X_60,X_59),join(X_59,X_60)),join(join(X_59,X_60),join(X_60,X_59))) = join(join(X_59,X_60),join(X_60,X_59)),
inference(subst,[],[refute_0_717:[bind(X_52,$fot(join(X_60,X_59))),bind(X_8,$fot(join(X_59,X_60)))]]) ).
cnf(refute_0_719,plain,
join(join(X_59,X_60),join(X_60,X_59)) = join(X_60,X_59),
inference(subst,[],[refute_0_717:[bind(X_52,$fot(X_59)),bind(X_8,$fot(X_60))]]) ).
cnf(refute_0_720,plain,
( join(join(X_59,X_60),join(X_60,X_59)) != join(X_60,X_59)
| join(join(join(X_60,X_59),join(X_59,X_60)),join(join(X_59,X_60),join(X_60,X_59))) != join(join(X_59,X_60),join(X_60,X_59))
| join(join(join(X_60,X_59),join(X_59,X_60)),join(X_60,X_59)) = join(join(X_59,X_60),join(X_60,X_59)) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(join(X_60,X_59),join(X_59,X_60)),join(join(X_59,X_60),join(X_60,X_59))),join(join(X_59,X_60),join(X_60,X_59))) ),[0,1],$fot(join(X_60,X_59))]]) ).
cnf(refute_0_721,plain,
( join(join(join(X_60,X_59),join(X_59,X_60)),join(join(X_59,X_60),join(X_60,X_59))) != join(join(X_59,X_60),join(X_60,X_59))
| join(join(join(X_60,X_59),join(X_59,X_60)),join(X_60,X_59)) = join(join(X_59,X_60),join(X_60,X_59)) ),
inference(resolve,[$cnf( $equal(join(join(X_59,X_60),join(X_60,X_59)),join(X_60,X_59)) )],[refute_0_719,refute_0_720]) ).
cnf(refute_0_722,plain,
join(join(join(X_60,X_59),join(X_59,X_60)),join(X_60,X_59)) = join(join(X_59,X_60),join(X_60,X_59)),
inference(resolve,[$cnf( $equal(join(join(join(X_60,X_59),join(X_59,X_60)),join(join(X_59,X_60),join(X_60,X_59))),join(join(X_59,X_60),join(X_60,X_59))) )],[refute_0_718,refute_0_721]) ).
cnf(refute_0_723,plain,
join(join(X_60,X_59),join(X_59,X_60)) = join(X_59,X_60),
inference(subst,[],[refute_0_717:[bind(X_52,$fot(X_60)),bind(X_8,$fot(X_59))]]) ).
cnf(refute_0_724,plain,
join(X_11,join(meet(join(X_11,Y),join(X_11,join(X_11,Y))),X_11)) = join(X_11,join(X_11,Y)),
inference(subst,[],[refute_0_108:[bind(Y,$fot(X_11)),bind(X_8,$fot(join(X_11,Y)))]]) ).
cnf(refute_0_725,plain,
meet(join(X_11,Y),join(X_11,join(X_11,Y))) = join(meet(join(X_11,Y),join(X_11,Y)),X_11),
inference(subst,[],[refute_0_15:[bind(X_3,$fot(X_11)),bind(X_4,$fot(join(X_11,Y)))]]) ).
cnf(refute_0_726,plain,
( join(X_11,join(meet(join(X_11,Y),join(X_11,join(X_11,Y))),X_11)) != join(X_11,join(X_11,Y))
| meet(join(X_11,Y),join(X_11,join(X_11,Y))) != join(meet(join(X_11,Y),join(X_11,Y)),X_11)
| join(X_11,join(join(meet(join(X_11,Y),join(X_11,Y)),X_11),X_11)) = join(X_11,join(X_11,Y)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_11,join(meet(join(X_11,Y),join(X_11,join(X_11,Y))),X_11)),join(X_11,join(X_11,Y))) ),[0,1,0],$fot(join(meet(join(X_11,Y),join(X_11,Y)),X_11))]]) ).
cnf(refute_0_727,plain,
( join(X_11,join(meet(join(X_11,Y),join(X_11,join(X_11,Y))),X_11)) != join(X_11,join(X_11,Y))
| join(X_11,join(join(meet(join(X_11,Y),join(X_11,Y)),X_11),X_11)) = join(X_11,join(X_11,Y)) ),
inference(resolve,[$cnf( $equal(meet(join(X_11,Y),join(X_11,join(X_11,Y))),join(meet(join(X_11,Y),join(X_11,Y)),X_11)) )],[refute_0_725,refute_0_726]) ).
cnf(refute_0_728,plain,
join(X_11,join(join(meet(join(X_11,Y),join(X_11,Y)),X_11),X_11)) = join(X_11,join(X_11,Y)),
inference(resolve,[$cnf( $equal(join(X_11,join(meet(join(X_11,Y),join(X_11,join(X_11,Y))),X_11)),join(X_11,join(X_11,Y))) )],[refute_0_724,refute_0_727]) ).
cnf(refute_0_729,plain,
meet(join(X_11,Y),join(X_11,Y)) = join(meet(Y,join(X_11,Y)),X_11),
inference(subst,[],[refute_0_15:[bind(X_3,$fot(X_11)),bind(X_4,$fot(Y))]]) ).
cnf(refute_0_730,plain,
join(meet(join(X_11,Y),join(X_11,Y)),X_11) = join(meet(join(X_11,Y),join(X_11,Y)),X_11),
introduced(tautology,[refl,[$fot(join(meet(join(X_11,Y),join(X_11,Y)),X_11))]]) ).
cnf(refute_0_731,plain,
( join(meet(join(X_11,Y),join(X_11,Y)),X_11) != join(meet(join(X_11,Y),join(X_11,Y)),X_11)
| meet(join(X_11,Y),join(X_11,Y)) != join(meet(Y,join(X_11,Y)),X_11)
| join(meet(join(X_11,Y),join(X_11,Y)),X_11) = join(join(meet(Y,join(X_11,Y)),X_11),X_11) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(join(X_11,Y),join(X_11,Y)),X_11),join(meet(join(X_11,Y),join(X_11,Y)),X_11)) ),[1,0],$fot(join(meet(Y,join(X_11,Y)),X_11))]]) ).
cnf(refute_0_732,plain,
( meet(join(X_11,Y),join(X_11,Y)) != join(meet(Y,join(X_11,Y)),X_11)
| join(meet(join(X_11,Y),join(X_11,Y)),X_11) = join(join(meet(Y,join(X_11,Y)),X_11),X_11) ),
inference(resolve,[$cnf( $equal(join(meet(join(X_11,Y),join(X_11,Y)),X_11),join(meet(join(X_11,Y),join(X_11,Y)),X_11)) )],[refute_0_730,refute_0_731]) ).
cnf(refute_0_733,plain,
join(meet(join(X_11,Y),join(X_11,Y)),X_11) = join(join(meet(Y,join(X_11,Y)),X_11),X_11),
inference(resolve,[$cnf( $equal(meet(join(X_11,Y),join(X_11,Y)),join(meet(Y,join(X_11,Y)),X_11)) )],[refute_0_729,refute_0_732]) ).
cnf(refute_0_734,plain,
join(join(meet(join(X_11,Y),join(X_11,Y)),X_11),X_11) = join(join(meet(join(X_11,Y),join(X_11,Y)),X_11),X_11),
introduced(tautology,[refl,[$fot(join(join(meet(join(X_11,Y),join(X_11,Y)),X_11),X_11))]]) ).
cnf(refute_0_735,plain,
( join(join(meet(join(X_11,Y),join(X_11,Y)),X_11),X_11) != join(join(meet(join(X_11,Y),join(X_11,Y)),X_11),X_11)
| join(meet(join(X_11,Y),join(X_11,Y)),X_11) != join(join(meet(Y,join(X_11,Y)),X_11),X_11)
| join(join(meet(join(X_11,Y),join(X_11,Y)),X_11),X_11) = join(join(join(meet(Y,join(X_11,Y)),X_11),X_11),X_11) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(meet(join(X_11,Y),join(X_11,Y)),X_11),X_11),join(join(meet(join(X_11,Y),join(X_11,Y)),X_11),X_11)) ),[1,0],$fot(join(join(meet(Y,join(X_11,Y)),X_11),X_11))]]) ).
cnf(refute_0_736,plain,
( join(meet(join(X_11,Y),join(X_11,Y)),X_11) != join(join(meet(Y,join(X_11,Y)),X_11),X_11)
| join(join(meet(join(X_11,Y),join(X_11,Y)),X_11),X_11) = join(join(join(meet(Y,join(X_11,Y)),X_11),X_11),X_11) ),
inference(resolve,[$cnf( $equal(join(join(meet(join(X_11,Y),join(X_11,Y)),X_11),X_11),join(join(meet(join(X_11,Y),join(X_11,Y)),X_11),X_11)) )],[refute_0_734,refute_0_735]) ).
cnf(refute_0_737,plain,
join(join(meet(join(X_11,Y),join(X_11,Y)),X_11),X_11) = join(join(join(meet(Y,join(X_11,Y)),X_11),X_11),X_11),
inference(resolve,[$cnf( $equal(join(meet(join(X_11,Y),join(X_11,Y)),X_11),join(join(meet(Y,join(X_11,Y)),X_11),X_11)) )],[refute_0_733,refute_0_736]) ).
cnf(refute_0_738,plain,
join(X_11,join(join(meet(join(X_11,Y),join(X_11,Y)),X_11),X_11)) = join(X_11,join(join(meet(join(X_11,Y),join(X_11,Y)),X_11),X_11)),
introduced(tautology,[refl,[$fot(join(X_11,join(join(meet(join(X_11,Y),join(X_11,Y)),X_11),X_11)))]]) ).
cnf(refute_0_739,plain,
( join(X_11,join(join(meet(join(X_11,Y),join(X_11,Y)),X_11),X_11)) != join(X_11,join(join(meet(join(X_11,Y),join(X_11,Y)),X_11),X_11))
| join(join(meet(join(X_11,Y),join(X_11,Y)),X_11),X_11) != join(join(join(meet(Y,join(X_11,Y)),X_11),X_11),X_11)
| join(X_11,join(join(meet(join(X_11,Y),join(X_11,Y)),X_11),X_11)) = join(X_11,join(join(join(meet(Y,join(X_11,Y)),X_11),X_11),X_11)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_11,join(join(meet(join(X_11,Y),join(X_11,Y)),X_11),X_11)),join(X_11,join(join(meet(join(X_11,Y),join(X_11,Y)),X_11),X_11))) ),[1,1],$fot(join(join(join(meet(Y,join(X_11,Y)),X_11),X_11),X_11))]]) ).
cnf(refute_0_740,plain,
( join(join(meet(join(X_11,Y),join(X_11,Y)),X_11),X_11) != join(join(join(meet(Y,join(X_11,Y)),X_11),X_11),X_11)
| join(X_11,join(join(meet(join(X_11,Y),join(X_11,Y)),X_11),X_11)) = join(X_11,join(join(join(meet(Y,join(X_11,Y)),X_11),X_11),X_11)) ),
inference(resolve,[$cnf( $equal(join(X_11,join(join(meet(join(X_11,Y),join(X_11,Y)),X_11),X_11)),join(X_11,join(join(meet(join(X_11,Y),join(X_11,Y)),X_11),X_11))) )],[refute_0_738,refute_0_739]) ).
cnf(refute_0_741,plain,
join(X_11,join(join(meet(join(X_11,Y),join(X_11,Y)),X_11),X_11)) = join(X_11,join(join(join(meet(Y,join(X_11,Y)),X_11),X_11),X_11)),
inference(resolve,[$cnf( $equal(join(join(meet(join(X_11,Y),join(X_11,Y)),X_11),X_11),join(join(join(meet(Y,join(X_11,Y)),X_11),X_11),X_11)) )],[refute_0_737,refute_0_740]) ).
cnf(refute_0_742,plain,
( join(X_11,join(join(meet(join(X_11,Y),join(X_11,Y)),X_11),X_11)) != join(X_11,join(X_11,Y))
| join(X_11,join(join(meet(join(X_11,Y),join(X_11,Y)),X_11),X_11)) != join(X_11,join(join(join(meet(Y,join(X_11,Y)),X_11),X_11),X_11))
| join(X_11,join(join(join(meet(Y,join(X_11,Y)),X_11),X_11),X_11)) = join(X_11,join(X_11,Y)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_11,join(join(meet(join(X_11,Y),join(X_11,Y)),X_11),X_11)),join(X_11,join(X_11,Y))) ),[0],$fot(join(X_11,join(join(join(meet(Y,join(X_11,Y)),X_11),X_11),X_11)))]]) ).
cnf(refute_0_743,plain,
( join(X_11,join(join(meet(join(X_11,Y),join(X_11,Y)),X_11),X_11)) != join(X_11,join(X_11,Y))
| join(X_11,join(join(join(meet(Y,join(X_11,Y)),X_11),X_11),X_11)) = join(X_11,join(X_11,Y)) ),
inference(resolve,[$cnf( $equal(join(X_11,join(join(meet(join(X_11,Y),join(X_11,Y)),X_11),X_11)),join(X_11,join(join(join(meet(Y,join(X_11,Y)),X_11),X_11),X_11))) )],[refute_0_741,refute_0_742]) ).
cnf(refute_0_744,plain,
join(X_11,join(join(join(meet(Y,join(X_11,Y)),X_11),X_11),X_11)) = join(X_11,join(X_11,Y)),
inference(resolve,[$cnf( $equal(join(X_11,join(join(meet(join(X_11,Y),join(X_11,Y)),X_11),X_11)),join(X_11,join(X_11,Y))) )],[refute_0_728,refute_0_743]) ).
cnf(refute_0_745,plain,
meet(Y,join(X_11,Y)) = join(Y,meet(X_11,Y)),
inference(subst,[],[refute_0_482:[bind(Y,$fot(X_11)),bind(X_29,$fot(Y))]]) ).
cnf(refute_0_746,plain,
join(meet(Y,join(X_11,Y)),X_11) = join(meet(Y,join(X_11,Y)),X_11),
introduced(tautology,[refl,[$fot(join(meet(Y,join(X_11,Y)),X_11))]]) ).
cnf(refute_0_747,plain,
( join(meet(Y,join(X_11,Y)),X_11) != join(meet(Y,join(X_11,Y)),X_11)
| meet(Y,join(X_11,Y)) != join(Y,meet(X_11,Y))
| join(meet(Y,join(X_11,Y)),X_11) = join(join(Y,meet(X_11,Y)),X_11) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(Y,join(X_11,Y)),X_11),join(meet(Y,join(X_11,Y)),X_11)) ),[1,0],$fot(join(Y,meet(X_11,Y)))]]) ).
cnf(refute_0_748,plain,
( meet(Y,join(X_11,Y)) != join(Y,meet(X_11,Y))
| join(meet(Y,join(X_11,Y)),X_11) = join(join(Y,meet(X_11,Y)),X_11) ),
inference(resolve,[$cnf( $equal(join(meet(Y,join(X_11,Y)),X_11),join(meet(Y,join(X_11,Y)),X_11)) )],[refute_0_746,refute_0_747]) ).
cnf(refute_0_749,plain,
join(meet(Y,join(X_11,Y)),X_11) = join(join(Y,meet(X_11,Y)),X_11),
inference(resolve,[$cnf( $equal(meet(Y,join(X_11,Y)),join(Y,meet(X_11,Y))) )],[refute_0_745,refute_0_748]) ).
cnf(refute_0_750,plain,
join(join(meet(Y,join(X_11,Y)),X_11),X_11) = join(join(meet(Y,join(X_11,Y)),X_11),X_11),
introduced(tautology,[refl,[$fot(join(join(meet(Y,join(X_11,Y)),X_11),X_11))]]) ).
cnf(refute_0_751,plain,
( join(join(meet(Y,join(X_11,Y)),X_11),X_11) != join(join(meet(Y,join(X_11,Y)),X_11),X_11)
| join(meet(Y,join(X_11,Y)),X_11) != join(join(Y,meet(X_11,Y)),X_11)
| join(join(meet(Y,join(X_11,Y)),X_11),X_11) = join(join(join(Y,meet(X_11,Y)),X_11),X_11) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(meet(Y,join(X_11,Y)),X_11),X_11),join(join(meet(Y,join(X_11,Y)),X_11),X_11)) ),[1,0],$fot(join(join(Y,meet(X_11,Y)),X_11))]]) ).
cnf(refute_0_752,plain,
( join(meet(Y,join(X_11,Y)),X_11) != join(join(Y,meet(X_11,Y)),X_11)
| join(join(meet(Y,join(X_11,Y)),X_11),X_11) = join(join(join(Y,meet(X_11,Y)),X_11),X_11) ),
inference(resolve,[$cnf( $equal(join(join(meet(Y,join(X_11,Y)),X_11),X_11),join(join(meet(Y,join(X_11,Y)),X_11),X_11)) )],[refute_0_750,refute_0_751]) ).
cnf(refute_0_753,plain,
join(join(meet(Y,join(X_11,Y)),X_11),X_11) = join(join(join(Y,meet(X_11,Y)),X_11),X_11),
inference(resolve,[$cnf( $equal(join(meet(Y,join(X_11,Y)),X_11),join(join(Y,meet(X_11,Y)),X_11)) )],[refute_0_749,refute_0_752]) ).
cnf(refute_0_754,plain,
join(join(join(meet(Y,join(X_11,Y)),X_11),X_11),X_11) = join(join(join(meet(Y,join(X_11,Y)),X_11),X_11),X_11),
introduced(tautology,[refl,[$fot(join(join(join(meet(Y,join(X_11,Y)),X_11),X_11),X_11))]]) ).
cnf(refute_0_755,plain,
( join(join(join(meet(Y,join(X_11,Y)),X_11),X_11),X_11) != join(join(join(meet(Y,join(X_11,Y)),X_11),X_11),X_11)
| join(join(meet(Y,join(X_11,Y)),X_11),X_11) != join(join(join(Y,meet(X_11,Y)),X_11),X_11)
| join(join(join(meet(Y,join(X_11,Y)),X_11),X_11),X_11) = join(join(join(join(Y,meet(X_11,Y)),X_11),X_11),X_11) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(join(meet(Y,join(X_11,Y)),X_11),X_11),X_11),join(join(join(meet(Y,join(X_11,Y)),X_11),X_11),X_11)) ),[1,0],$fot(join(join(join(Y,meet(X_11,Y)),X_11),X_11))]]) ).
cnf(refute_0_756,plain,
( join(join(meet(Y,join(X_11,Y)),X_11),X_11) != join(join(join(Y,meet(X_11,Y)),X_11),X_11)
| join(join(join(meet(Y,join(X_11,Y)),X_11),X_11),X_11) = join(join(join(join(Y,meet(X_11,Y)),X_11),X_11),X_11) ),
inference(resolve,[$cnf( $equal(join(join(join(meet(Y,join(X_11,Y)),X_11),X_11),X_11),join(join(join(meet(Y,join(X_11,Y)),X_11),X_11),X_11)) )],[refute_0_754,refute_0_755]) ).
cnf(refute_0_757,plain,
join(join(join(meet(Y,join(X_11,Y)),X_11),X_11),X_11) = join(join(join(join(Y,meet(X_11,Y)),X_11),X_11),X_11),
inference(resolve,[$cnf( $equal(join(join(meet(Y,join(X_11,Y)),X_11),X_11),join(join(join(Y,meet(X_11,Y)),X_11),X_11)) )],[refute_0_753,refute_0_756]) ).
cnf(refute_0_758,plain,
join(X_11,join(join(join(meet(Y,join(X_11,Y)),X_11),X_11),X_11)) = join(X_11,join(join(join(meet(Y,join(X_11,Y)),X_11),X_11),X_11)),
introduced(tautology,[refl,[$fot(join(X_11,join(join(join(meet(Y,join(X_11,Y)),X_11),X_11),X_11)))]]) ).
cnf(refute_0_759,plain,
( join(X_11,join(join(join(meet(Y,join(X_11,Y)),X_11),X_11),X_11)) != join(X_11,join(join(join(meet(Y,join(X_11,Y)),X_11),X_11),X_11))
| join(join(join(meet(Y,join(X_11,Y)),X_11),X_11),X_11) != join(join(join(join(Y,meet(X_11,Y)),X_11),X_11),X_11)
| join(X_11,join(join(join(meet(Y,join(X_11,Y)),X_11),X_11),X_11)) = join(X_11,join(join(join(join(Y,meet(X_11,Y)),X_11),X_11),X_11)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_11,join(join(join(meet(Y,join(X_11,Y)),X_11),X_11),X_11)),join(X_11,join(join(join(meet(Y,join(X_11,Y)),X_11),X_11),X_11))) ),[1,1],$fot(join(join(join(join(Y,meet(X_11,Y)),X_11),X_11),X_11))]]) ).
cnf(refute_0_760,plain,
( join(join(join(meet(Y,join(X_11,Y)),X_11),X_11),X_11) != join(join(join(join(Y,meet(X_11,Y)),X_11),X_11),X_11)
| join(X_11,join(join(join(meet(Y,join(X_11,Y)),X_11),X_11),X_11)) = join(X_11,join(join(join(join(Y,meet(X_11,Y)),X_11),X_11),X_11)) ),
inference(resolve,[$cnf( $equal(join(X_11,join(join(join(meet(Y,join(X_11,Y)),X_11),X_11),X_11)),join(X_11,join(join(join(meet(Y,join(X_11,Y)),X_11),X_11),X_11))) )],[refute_0_758,refute_0_759]) ).
cnf(refute_0_761,plain,
join(X_11,join(join(join(meet(Y,join(X_11,Y)),X_11),X_11),X_11)) = join(X_11,join(join(join(join(Y,meet(X_11,Y)),X_11),X_11),X_11)),
inference(resolve,[$cnf( $equal(join(join(join(meet(Y,join(X_11,Y)),X_11),X_11),X_11),join(join(join(join(Y,meet(X_11,Y)),X_11),X_11),X_11)) )],[refute_0_757,refute_0_760]) ).
cnf(refute_0_762,plain,
( join(X_11,join(join(join(meet(Y,join(X_11,Y)),X_11),X_11),X_11)) != join(X_11,join(X_11,Y))
| join(X_11,join(join(join(meet(Y,join(X_11,Y)),X_11),X_11),X_11)) != join(X_11,join(join(join(join(Y,meet(X_11,Y)),X_11),X_11),X_11))
| join(X_11,join(join(join(join(Y,meet(X_11,Y)),X_11),X_11),X_11)) = join(X_11,join(X_11,Y)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_11,join(join(join(meet(Y,join(X_11,Y)),X_11),X_11),X_11)),join(X_11,join(X_11,Y))) ),[0],$fot(join(X_11,join(join(join(join(Y,meet(X_11,Y)),X_11),X_11),X_11)))]]) ).
cnf(refute_0_763,plain,
( join(X_11,join(join(join(meet(Y,join(X_11,Y)),X_11),X_11),X_11)) != join(X_11,join(X_11,Y))
| join(X_11,join(join(join(join(Y,meet(X_11,Y)),X_11),X_11),X_11)) = join(X_11,join(X_11,Y)) ),
inference(resolve,[$cnf( $equal(join(X_11,join(join(join(meet(Y,join(X_11,Y)),X_11),X_11),X_11)),join(X_11,join(join(join(join(Y,meet(X_11,Y)),X_11),X_11),X_11))) )],[refute_0_761,refute_0_762]) ).
cnf(refute_0_764,plain,
join(X_11,join(join(join(join(Y,meet(X_11,Y)),X_11),X_11),X_11)) = join(X_11,join(X_11,Y)),
inference(resolve,[$cnf( $equal(join(X_11,join(join(join(meet(Y,join(X_11,Y)),X_11),X_11),X_11)),join(X_11,join(X_11,Y))) )],[refute_0_744,refute_0_763]) ).
cnf(refute_0_765,plain,
join(Y,meet(X_11,Y)) = Y,
inference(subst,[],[refute_0_643:[bind(Z,$fot(X_11)),bind(X_29,$fot(Y))]]) ).
cnf(refute_0_766,plain,
join(X_11,join(Y,meet(X_11,Y))) = join(X_11,join(Y,meet(X_11,Y))),
introduced(tautology,[refl,[$fot(join(X_11,join(Y,meet(X_11,Y))))]]) ).
cnf(refute_0_767,plain,
( join(Y,meet(X_11,Y)) != Y
| join(X_11,join(Y,meet(X_11,Y))) != join(X_11,join(Y,meet(X_11,Y)))
| join(X_11,join(Y,meet(X_11,Y))) = join(X_11,Y) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_11,join(Y,meet(X_11,Y))),join(X_11,join(Y,meet(X_11,Y)))) ),[1,1],$fot(Y)]]) ).
cnf(refute_0_768,plain,
( join(Y,meet(X_11,Y)) != Y
| join(X_11,join(Y,meet(X_11,Y))) = join(X_11,Y) ),
inference(resolve,[$cnf( $equal(join(X_11,join(Y,meet(X_11,Y))),join(X_11,join(Y,meet(X_11,Y)))) )],[refute_0_766,refute_0_767]) ).
cnf(refute_0_769,plain,
join(X_11,join(Y,meet(X_11,Y))) = join(X_11,Y),
inference(resolve,[$cnf( $equal(join(Y,meet(X_11,Y)),Y) )],[refute_0_765,refute_0_768]) ).
cnf(refute_0_770,plain,
join(X_11,join(join(Y,meet(X_11,Y)),X_11)) = join(X_11,join(Y,meet(X_11,Y))),
inference(subst,[],[refute_0_705:[bind(Y,$fot(X_11)),bind(X_8,$fot(join(Y,meet(X_11,Y))))]]) ).
cnf(refute_0_771,plain,
join(X_11,join(join(join(Y,meet(X_11,Y)),X_11),X_11)) = join(X_11,join(join(Y,meet(X_11,Y)),X_11)),
inference(subst,[],[refute_0_705:[bind(Y,$fot(X_11)),bind(X_8,$fot(join(join(Y,meet(X_11,Y)),X_11)))]]) ).
cnf(refute_0_772,plain,
( join(X_11,join(join(Y,meet(X_11,Y)),X_11)) != join(X_11,join(Y,meet(X_11,Y)))
| join(X_11,join(join(join(Y,meet(X_11,Y)),X_11),X_11)) != join(X_11,join(join(Y,meet(X_11,Y)),X_11))
| join(X_11,join(join(join(Y,meet(X_11,Y)),X_11),X_11)) = join(X_11,join(Y,meet(X_11,Y))) ),
inference(subst,[],[refute_0_84:[bind(X0,$fot(join(X_11,join(join(join(Y,meet(X_11,Y)),X_11),X_11)))),bind(Y0,$fot(join(X_11,join(join(Y,meet(X_11,Y)),X_11)))),bind(Z0,$fot(join(X_11,join(Y,meet(X_11,Y)))))]]) ).
cnf(refute_0_773,plain,
( join(X_11,join(join(Y,meet(X_11,Y)),X_11)) != join(X_11,join(Y,meet(X_11,Y)))
| join(X_11,join(join(join(Y,meet(X_11,Y)),X_11),X_11)) = join(X_11,join(Y,meet(X_11,Y))) ),
inference(resolve,[$cnf( $equal(join(X_11,join(join(join(Y,meet(X_11,Y)),X_11),X_11)),join(X_11,join(join(Y,meet(X_11,Y)),X_11))) )],[refute_0_771,refute_0_772]) ).
cnf(refute_0_774,plain,
join(X_11,join(join(join(Y,meet(X_11,Y)),X_11),X_11)) = join(X_11,join(Y,meet(X_11,Y))),
inference(resolve,[$cnf( $equal(join(X_11,join(join(Y,meet(X_11,Y)),X_11)),join(X_11,join(Y,meet(X_11,Y)))) )],[refute_0_770,refute_0_773]) ).
cnf(refute_0_775,plain,
join(X_11,join(join(join(join(Y,meet(X_11,Y)),X_11),X_11),X_11)) = join(X_11,join(join(join(Y,meet(X_11,Y)),X_11),X_11)),
inference(subst,[],[refute_0_705:[bind(Y,$fot(X_11)),bind(X_8,$fot(join(join(join(Y,meet(X_11,Y)),X_11),X_11)))]]) ).
cnf(refute_0_776,plain,
( join(X_11,join(join(join(Y,meet(X_11,Y)),X_11),X_11)) != join(X_11,join(Y,meet(X_11,Y)))
| join(X_11,join(join(join(join(Y,meet(X_11,Y)),X_11),X_11),X_11)) != join(X_11,join(join(join(Y,meet(X_11,Y)),X_11),X_11))
| join(X_11,join(join(join(join(Y,meet(X_11,Y)),X_11),X_11),X_11)) = join(X_11,join(Y,meet(X_11,Y))) ),
inference(subst,[],[refute_0_84:[bind(X0,$fot(join(X_11,join(join(join(join(Y,meet(X_11,Y)),X_11),X_11),X_11)))),bind(Y0,$fot(join(X_11,join(join(join(Y,meet(X_11,Y)),X_11),X_11)))),bind(Z0,$fot(join(X_11,join(Y,meet(X_11,Y)))))]]) ).
cnf(refute_0_777,plain,
( join(X_11,join(join(join(Y,meet(X_11,Y)),X_11),X_11)) != join(X_11,join(Y,meet(X_11,Y)))
| join(X_11,join(join(join(join(Y,meet(X_11,Y)),X_11),X_11),X_11)) = join(X_11,join(Y,meet(X_11,Y))) ),
inference(resolve,[$cnf( $equal(join(X_11,join(join(join(join(Y,meet(X_11,Y)),X_11),X_11),X_11)),join(X_11,join(join(join(Y,meet(X_11,Y)),X_11),X_11))) )],[refute_0_775,refute_0_776]) ).
cnf(refute_0_778,plain,
join(X_11,join(join(join(join(Y,meet(X_11,Y)),X_11),X_11),X_11)) = join(X_11,join(Y,meet(X_11,Y))),
inference(resolve,[$cnf( $equal(join(X_11,join(join(join(Y,meet(X_11,Y)),X_11),X_11)),join(X_11,join(Y,meet(X_11,Y)))) )],[refute_0_774,refute_0_777]) ).
cnf(refute_0_779,plain,
( join(X_11,join(Y,meet(X_11,Y))) != join(X_11,Y)
| join(X_11,join(join(join(join(Y,meet(X_11,Y)),X_11),X_11),X_11)) != join(X_11,join(Y,meet(X_11,Y)))
| join(X_11,join(join(join(join(Y,meet(X_11,Y)),X_11),X_11),X_11)) = join(X_11,Y) ),
inference(subst,[],[refute_0_84:[bind(X0,$fot(join(X_11,join(join(join(join(Y,meet(X_11,Y)),X_11),X_11),X_11)))),bind(Y0,$fot(join(X_11,join(Y,meet(X_11,Y))))),bind(Z0,$fot(join(X_11,Y)))]]) ).
cnf(refute_0_780,plain,
( join(X_11,join(Y,meet(X_11,Y))) != join(X_11,Y)
| join(X_11,join(join(join(join(Y,meet(X_11,Y)),X_11),X_11),X_11)) = join(X_11,Y) ),
inference(resolve,[$cnf( $equal(join(X_11,join(join(join(join(Y,meet(X_11,Y)),X_11),X_11),X_11)),join(X_11,join(Y,meet(X_11,Y)))) )],[refute_0_778,refute_0_779]) ).
cnf(refute_0_781,plain,
join(X_11,join(join(join(join(Y,meet(X_11,Y)),X_11),X_11),X_11)) = join(X_11,Y),
inference(resolve,[$cnf( $equal(join(X_11,join(Y,meet(X_11,Y))),join(X_11,Y)) )],[refute_0_769,refute_0_780]) ).
cnf(refute_0_782,plain,
( join(X_11,join(join(join(join(Y,meet(X_11,Y)),X_11),X_11),X_11)) != join(X_11,Y)
| join(X_11,join(join(join(join(Y,meet(X_11,Y)),X_11),X_11),X_11)) != join(X_11,join(X_11,Y))
| join(X_11,Y) = join(X_11,join(X_11,Y)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_11,join(join(join(join(Y,meet(X_11,Y)),X_11),X_11),X_11)),join(X_11,join(X_11,Y))) ),[0],$fot(join(X_11,Y))]]) ).
cnf(refute_0_783,plain,
( join(X_11,join(join(join(join(Y,meet(X_11,Y)),X_11),X_11),X_11)) != join(X_11,join(X_11,Y))
| join(X_11,Y) = join(X_11,join(X_11,Y)) ),
inference(resolve,[$cnf( $equal(join(X_11,join(join(join(join(Y,meet(X_11,Y)),X_11),X_11),X_11)),join(X_11,Y)) )],[refute_0_781,refute_0_782]) ).
cnf(refute_0_784,plain,
join(X_11,Y) = join(X_11,join(X_11,Y)),
inference(resolve,[$cnf( $equal(join(X_11,join(join(join(join(Y,meet(X_11,Y)),X_11),X_11),X_11)),join(X_11,join(X_11,Y))) )],[refute_0_764,refute_0_783]) ).
cnf(refute_0_785,plain,
( join(X_11,Y) != join(X_11,join(X_11,Y))
| join(X_11,join(X_11,Y)) = join(X_11,Y) ),
inference(subst,[],[refute_0_24:[bind(X0,$fot(join(X_11,Y))),bind(Y0,$fot(join(X_11,join(X_11,Y))))]]) ).
cnf(refute_0_786,plain,
join(X_11,join(X_11,Y)) = join(X_11,Y),
inference(resolve,[$cnf( $equal(join(X_11,Y),join(X_11,join(X_11,Y))) )],[refute_0_784,refute_0_785]) ).
cnf(refute_0_787,plain,
join(join(X_60,X_59),join(join(X_60,X_59),join(X_59,X_60))) = join(join(X_60,X_59),join(X_59,X_60)),
inference(subst,[],[refute_0_786:[bind(Y,$fot(join(X_59,X_60))),bind(X_11,$fot(join(X_60,X_59)))]]) ).
cnf(refute_0_788,plain,
( join(join(X_60,X_59),join(X_59,X_60)) != join(X_59,X_60)
| join(join(X_60,X_59),join(join(X_60,X_59),join(X_59,X_60))) != join(join(X_60,X_59),join(X_59,X_60))
| join(join(X_60,X_59),join(join(X_60,X_59),join(X_59,X_60))) = join(X_59,X_60) ),
inference(subst,[],[refute_0_84:[bind(X0,$fot(join(join(X_60,X_59),join(join(X_60,X_59),join(X_59,X_60))))),bind(Y0,$fot(join(join(X_60,X_59),join(X_59,X_60)))),bind(Z0,$fot(join(X_59,X_60)))]]) ).
cnf(refute_0_789,plain,
( join(join(X_60,X_59),join(X_59,X_60)) != join(X_59,X_60)
| join(join(X_60,X_59),join(join(X_60,X_59),join(X_59,X_60))) = join(X_59,X_60) ),
inference(resolve,[$cnf( $equal(join(join(X_60,X_59),join(join(X_60,X_59),join(X_59,X_60))),join(join(X_60,X_59),join(X_59,X_60))) )],[refute_0_787,refute_0_788]) ).
cnf(refute_0_790,plain,
join(join(X_60,X_59),join(join(X_60,X_59),join(X_59,X_60))) = join(X_59,X_60),
inference(resolve,[$cnf( $equal(join(join(X_60,X_59),join(X_59,X_60)),join(X_59,X_60)) )],[refute_0_723,refute_0_789]) ).
cnf(refute_0_791,plain,
join(join(join(X_60,X_59),join(X_59,X_60)),join(X_60,X_59)) = join(join(X_60,X_59),join(join(X_60,X_59),join(X_59,X_60))),
inference(subst,[],[refute_0_672:[bind(Y,$fot(join(join(X_60,X_59),join(X_59,X_60)))),bind(X_3,$fot(join(X_60,X_59)))]]) ).
cnf(refute_0_792,plain,
( join(join(X_60,X_59),join(join(X_60,X_59),join(X_59,X_60))) != join(X_59,X_60)
| join(join(join(X_60,X_59),join(X_59,X_60)),join(X_60,X_59)) != join(join(X_60,X_59),join(join(X_60,X_59),join(X_59,X_60)))
| join(join(join(X_60,X_59),join(X_59,X_60)),join(X_60,X_59)) = join(X_59,X_60) ),
inference(subst,[],[refute_0_84:[bind(X0,$fot(join(join(join(X_60,X_59),join(X_59,X_60)),join(X_60,X_59)))),bind(Y0,$fot(join(join(X_60,X_59),join(join(X_60,X_59),join(X_59,X_60))))),bind(Z0,$fot(join(X_59,X_60)))]]) ).
cnf(refute_0_793,plain,
( join(join(X_60,X_59),join(join(X_60,X_59),join(X_59,X_60))) != join(X_59,X_60)
| join(join(join(X_60,X_59),join(X_59,X_60)),join(X_60,X_59)) = join(X_59,X_60) ),
inference(resolve,[$cnf( $equal(join(join(join(X_60,X_59),join(X_59,X_60)),join(X_60,X_59)),join(join(X_60,X_59),join(join(X_60,X_59),join(X_59,X_60)))) )],[refute_0_791,refute_0_792]) ).
cnf(refute_0_794,plain,
join(join(join(X_60,X_59),join(X_59,X_60)),join(X_60,X_59)) = join(X_59,X_60),
inference(resolve,[$cnf( $equal(join(join(X_60,X_59),join(join(X_60,X_59),join(X_59,X_60))),join(X_59,X_60)) )],[refute_0_790,refute_0_793]) ).
cnf(refute_0_795,plain,
( join(join(join(X_60,X_59),join(X_59,X_60)),join(X_60,X_59)) != join(X_59,X_60)
| join(join(join(X_60,X_59),join(X_59,X_60)),join(X_60,X_59)) != join(join(X_59,X_60),join(X_60,X_59))
| join(X_59,X_60) = join(join(X_59,X_60),join(X_60,X_59)) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(join(X_60,X_59),join(X_59,X_60)),join(X_60,X_59)),join(join(X_59,X_60),join(X_60,X_59))) ),[0],$fot(join(X_59,X_60))]]) ).
cnf(refute_0_796,plain,
( join(join(join(X_60,X_59),join(X_59,X_60)),join(X_60,X_59)) != join(join(X_59,X_60),join(X_60,X_59))
| join(X_59,X_60) = join(join(X_59,X_60),join(X_60,X_59)) ),
inference(resolve,[$cnf( $equal(join(join(join(X_60,X_59),join(X_59,X_60)),join(X_60,X_59)),join(X_59,X_60)) )],[refute_0_794,refute_0_795]) ).
cnf(refute_0_797,plain,
( join(X_59,X_60) != join(join(X_59,X_60),join(X_60,X_59))
| join(join(X_59,X_60),join(X_60,X_59)) != join(X_60,X_59)
| join(X_59,X_60) = join(X_60,X_59) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_59,X_60),join(X_60,X_59)) ),[0],$fot(join(join(X_59,X_60),join(X_60,X_59)))]]) ).
cnf(refute_0_798,plain,
( join(X_59,X_60) != join(join(X_59,X_60),join(X_60,X_59))
| join(X_59,X_60) = join(X_60,X_59) ),
inference(resolve,[$cnf( $equal(join(join(X_59,X_60),join(X_60,X_59)),join(X_60,X_59)) )],[refute_0_719,refute_0_797]) ).
cnf(refute_0_799,plain,
( join(join(join(X_60,X_59),join(X_59,X_60)),join(X_60,X_59)) != join(join(X_59,X_60),join(X_60,X_59))
| join(X_59,X_60) = join(X_60,X_59) ),
inference(resolve,[$cnf( $equal(join(X_59,X_60),join(join(X_59,X_60),join(X_60,X_59))) )],[refute_0_796,refute_0_798]) ).
cnf(refute_0_800,plain,
join(X_59,X_60) = join(X_60,X_59),
inference(resolve,[$cnf( $equal(join(join(join(X_60,X_59),join(X_59,X_60)),join(X_60,X_59)),join(join(X_59,X_60),join(X_60,X_59))) )],[refute_0_722,refute_0_799]) ).
cnf(refute_0_801,plain,
join(X_66,X_65) = join(X_65,X_66),
inference(subst,[],[refute_0_800:[bind(X_59,$fot(X_66)),bind(X_60,$fot(X_65))]]) ).
cnf(refute_0_802,plain,
( join(X_66,X_65) != join(X_65,X_66)
| join(X_65,X_66) = join(X_66,X_65) ),
inference(subst,[],[refute_0_24:[bind(X0,$fot(join(X_66,X_65))),bind(Y0,$fot(join(X_65,X_66)))]]) ).
cnf(refute_0_803,plain,
join(X_65,X_66) = join(X_66,X_65),
inference(resolve,[$cnf( $equal(join(X_66,X_65),join(X_65,X_66)) )],[refute_0_801,refute_0_802]) ).
cnf(refute_0_804,plain,
( join(X_65,X_66) != join(X_66,X_65)
| meet(join(X_65,X_66),join(X_63,join(X_65,X_64))) != join(join(X_65,meet(X_66,join(X_65,X_64))),meet(X_63,join(X_65,X_66)))
| meet(join(X_66,X_65),join(X_63,join(X_65,X_64))) = join(join(X_65,meet(X_66,join(X_65,X_64))),meet(X_63,join(X_65,X_66))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_65,X_66),join(X_63,join(X_65,X_64))),join(join(X_65,meet(X_66,join(X_65,X_64))),meet(X_63,join(X_65,X_66)))) ),[0,0],$fot(join(X_66,X_65))]]) ).
cnf(refute_0_805,plain,
( meet(join(X_65,X_66),join(X_63,join(X_65,X_64))) != join(join(X_65,meet(X_66,join(X_65,X_64))),meet(X_63,join(X_65,X_66)))
| meet(join(X_66,X_65),join(X_63,join(X_65,X_64))) = join(join(X_65,meet(X_66,join(X_65,X_64))),meet(X_63,join(X_65,X_66))) ),
inference(resolve,[$cnf( $equal(join(X_65,X_66),join(X_66,X_65)) )],[refute_0_803,refute_0_804]) ).
cnf(refute_0_806,plain,
meet(join(X_66,X_65),join(X_63,join(X_65,X_64))) = join(join(X_65,meet(X_66,join(X_65,X_64))),meet(X_63,join(X_65,X_66))),
inference(resolve,[$cnf( $equal(meet(join(X_65,X_66),join(X_63,join(X_65,X_64))),join(join(X_65,meet(X_66,join(X_65,X_64))),meet(X_63,join(X_65,X_66)))) )],[refute_0_681,refute_0_805]) ).
cnf(refute_0_807,plain,
( meet(join(X_6,X_7),join(Y,join(X_6,X_5))) != join(join(X_6,meet(X_7,join(X_6,X_5))),meet(Y,join(X_6,X_7)))
| join(join(X_6,meet(X_7,join(X_6,X_5))),meet(Y,join(X_6,X_7))) = meet(join(X_6,X_7),join(Y,join(X_6,X_5))) ),
inference(subst,[],[refute_0_24:[bind(X0,$fot(meet(join(X_6,X_7),join(Y,join(X_6,X_5))))),bind(Y0,$fot(join(join(X_6,meet(X_7,join(X_6,X_5))),meet(Y,join(X_6,X_7)))))]]) ).
cnf(refute_0_808,plain,
join(join(X_6,meet(X_7,join(X_6,X_5))),meet(Y,join(X_6,X_7))) = meet(join(X_6,X_7),join(Y,join(X_6,X_5))),
inference(resolve,[$cnf( $equal(meet(join(X_6,X_7),join(Y,join(X_6,X_5))),join(join(X_6,meet(X_7,join(X_6,X_5))),meet(Y,join(X_6,X_7)))) )],[refute_0_680,refute_0_807]) ).
cnf(refute_0_809,plain,
join(join(X_65,meet(X_66,join(X_65,X_64))),meet(X_63,join(X_65,X_66))) = meet(join(X_65,X_66),join(X_63,join(X_65,X_64))),
inference(subst,[],[refute_0_808:[bind(Y,$fot(X_63)),bind(X_5,$fot(X_64)),bind(X_6,$fot(X_65)),bind(X_7,$fot(X_66))]]) ).
cnf(refute_0_810,plain,
( join(join(X_65,meet(X_66,join(X_65,X_64))),meet(X_63,join(X_65,X_66))) != meet(join(X_65,X_66),join(X_63,join(X_65,X_64)))
| meet(join(X_66,X_65),join(X_63,join(X_65,X_64))) != join(join(X_65,meet(X_66,join(X_65,X_64))),meet(X_63,join(X_65,X_66)))
| meet(join(X_66,X_65),join(X_63,join(X_65,X_64))) = meet(join(X_65,X_66),join(X_63,join(X_65,X_64))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_66,X_65),join(X_63,join(X_65,X_64))),join(join(X_65,meet(X_66,join(X_65,X_64))),meet(X_63,join(X_65,X_66)))) ),[1],$fot(meet(join(X_65,X_66),join(X_63,join(X_65,X_64))))]]) ).
cnf(refute_0_811,plain,
( meet(join(X_66,X_65),join(X_63,join(X_65,X_64))) != join(join(X_65,meet(X_66,join(X_65,X_64))),meet(X_63,join(X_65,X_66)))
| meet(join(X_66,X_65),join(X_63,join(X_65,X_64))) = meet(join(X_65,X_66),join(X_63,join(X_65,X_64))) ),
inference(resolve,[$cnf( $equal(join(join(X_65,meet(X_66,join(X_65,X_64))),meet(X_63,join(X_65,X_66))),meet(join(X_65,X_66),join(X_63,join(X_65,X_64)))) )],[refute_0_809,refute_0_810]) ).
cnf(refute_0_812,plain,
meet(join(X_66,X_65),join(X_63,join(X_65,X_64))) = meet(join(X_65,X_66),join(X_63,join(X_65,X_64))),
inference(resolve,[$cnf( $equal(meet(join(X_66,X_65),join(X_63,join(X_65,X_64))),join(join(X_65,meet(X_66,join(X_65,X_64))),meet(X_63,join(X_65,X_66)))) )],[refute_0_806,refute_0_811]) ).
cnf(refute_0_813,plain,
meet(meet(X_16,X_15),X_15) = meet(X_15,meet(X_16,X_15)),
inference(subst,[],[refute_0_614:[bind(X,$fot(meet(X_16,X_15))),bind(Z,$fot(X_15))]]) ).
cnf(refute_0_814,plain,
( meet(meet(X_16,X_15),X_15) != meet(X_15,meet(X_16,X_15))
| meet(meet(X_16,X_15),X_15) != meet(X_16,X_15)
| meet(X_15,meet(X_16,X_15)) = meet(X_16,X_15) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(X_16,X_15),X_15),meet(X_16,X_15)) ),[0],$fot(meet(X_15,meet(X_16,X_15)))]]) ).
cnf(refute_0_815,plain,
( meet(meet(X_16,X_15),X_15) != meet(X_16,X_15)
| meet(X_15,meet(X_16,X_15)) = meet(X_16,X_15) ),
inference(resolve,[$cnf( $equal(meet(meet(X_16,X_15),X_15),meet(X_15,meet(X_16,X_15))) )],[refute_0_813,refute_0_814]) ).
cnf(refute_0_816,plain,
meet(X_15,meet(X_16,X_15)) = meet(X_16,X_15),
inference(resolve,[$cnf( $equal(meet(meet(X_16,X_15),X_15),meet(X_16,X_15)) )],[refute_0_46,refute_0_815]) ).
cnf(refute_0_817,plain,
meet(X_53,meet(X_54,X_53)) = meet(X_54,X_53),
inference(subst,[],[refute_0_816:[bind(X_15,$fot(X_53)),bind(X_16,$fot(X_54))]]) ).
cnf(refute_0_818,plain,
meet(X,join(Y,Y)) = join(meet(Y,X),meet(Y,X)),
inference(subst,[],[distribution:[bind(Z,$fot(Y))]]) ).
cnf(refute_0_819,plain,
join(meet(Y,X),meet(Y,X)) = meet(Y,X),
inference(subst,[],[refute_0_445:[bind(Y,$fot(meet(Y,X)))]]) ).
cnf(refute_0_820,plain,
( join(meet(Y,X),meet(Y,X)) != meet(Y,X)
| meet(X,join(Y,Y)) != join(meet(Y,X),meet(Y,X))
| meet(X,join(Y,Y)) = meet(Y,X) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X,join(Y,Y)),join(meet(Y,X),meet(Y,X))) ),[1],$fot(meet(Y,X))]]) ).
cnf(refute_0_821,plain,
( meet(X,join(Y,Y)) != join(meet(Y,X),meet(Y,X))
| meet(X,join(Y,Y)) = meet(Y,X) ),
inference(resolve,[$cnf( $equal(join(meet(Y,X),meet(Y,X)),meet(Y,X)) )],[refute_0_819,refute_0_820]) ).
cnf(refute_0_822,plain,
meet(X,join(Y,Y)) = meet(Y,X),
inference(resolve,[$cnf( $equal(meet(X,join(Y,Y)),join(meet(Y,X),meet(Y,X))) )],[refute_0_818,refute_0_821]) ).
cnf(refute_0_823,plain,
meet(X,join(Y,Y)) = meet(X,join(Y,Y)),
introduced(tautology,[refl,[$fot(meet(X,join(Y,Y)))]]) ).
cnf(refute_0_824,plain,
( join(Y,Y) != Y
| meet(X,join(Y,Y)) != meet(X,join(Y,Y))
| meet(X,join(Y,Y)) = meet(X,Y) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X,join(Y,Y)),meet(X,join(Y,Y))) ),[1,1],$fot(Y)]]) ).
cnf(refute_0_825,plain,
( join(Y,Y) != Y
| meet(X,join(Y,Y)) = meet(X,Y) ),
inference(resolve,[$cnf( $equal(meet(X,join(Y,Y)),meet(X,join(Y,Y))) )],[refute_0_823,refute_0_824]) ).
cnf(refute_0_826,plain,
meet(X,join(Y,Y)) = meet(X,Y),
inference(resolve,[$cnf( $equal(join(Y,Y),Y) )],[refute_0_445,refute_0_825]) ).
cnf(refute_0_827,plain,
( meet(X,join(Y,Y)) != meet(X,Y)
| meet(X,join(Y,Y)) != meet(Y,X)
| meet(X,Y) = meet(Y,X) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X,join(Y,Y)),meet(Y,X)) ),[0],$fot(meet(X,Y))]]) ).
cnf(refute_0_828,plain,
( meet(X,join(Y,Y)) != meet(Y,X)
| meet(X,Y) = meet(Y,X) ),
inference(resolve,[$cnf( $equal(meet(X,join(Y,Y)),meet(X,Y)) )],[refute_0_826,refute_0_827]) ).
cnf(refute_0_829,plain,
meet(X,Y) = meet(Y,X),
inference(resolve,[$cnf( $equal(meet(X,join(Y,Y)),meet(Y,X)) )],[refute_0_822,refute_0_828]) ).
cnf(refute_0_830,plain,
meet(X_53,X_54) = meet(X_54,X_53),
inference(subst,[],[refute_0_829:[bind(X,$fot(X_53)),bind(Y,$fot(X_54))]]) ).
cnf(refute_0_831,plain,
( meet(X_53,X_54) != meet(X_54,X_53)
| meet(X_54,X_53) = meet(X_53,X_54) ),
inference(subst,[],[refute_0_24:[bind(X0,$fot(meet(X_53,X_54))),bind(Y0,$fot(meet(X_54,X_53)))]]) ).
cnf(refute_0_832,plain,
meet(X_54,X_53) = meet(X_53,X_54),
inference(resolve,[$cnf( $equal(meet(X_53,X_54),meet(X_54,X_53)) )],[refute_0_830,refute_0_831]) ).
cnf(refute_0_833,plain,
( meet(X_53,meet(X_54,X_53)) != meet(X_54,X_53)
| meet(X_54,X_53) != meet(X_53,X_54)
| meet(X_53,meet(X_53,X_54)) = meet(X_54,X_53) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_53,meet(X_54,X_53)),meet(X_54,X_53)) ),[0,1],$fot(meet(X_53,X_54))]]) ).
cnf(refute_0_834,plain,
( meet(X_53,meet(X_54,X_53)) != meet(X_54,X_53)
| meet(X_53,meet(X_53,X_54)) = meet(X_54,X_53) ),
inference(resolve,[$cnf( $equal(meet(X_54,X_53),meet(X_53,X_54)) )],[refute_0_832,refute_0_833]) ).
cnf(refute_0_835,plain,
meet(X_53,meet(X_53,X_54)) = meet(X_54,X_53),
inference(resolve,[$cnf( $equal(meet(X_53,meet(X_54,X_53)),meet(X_54,X_53)) )],[refute_0_817,refute_0_834]) ).
cnf(refute_0_836,plain,
meet(X_53,meet(X_53,join(meet(X_87,X_53),X_86))) = meet(join(meet(X_87,X_53),X_86),X_53),
inference(subst,[],[refute_0_835:[bind(X_54,$fot(join(meet(X_87,X_53),X_86)))]]) ).
cnf(refute_0_837,plain,
meet(X_53,join(meet(X_87,X_53),X_86)) = meet(X_53,join(X_87,X_86)),
inference(subst,[],[refute_0_544:[bind(X,$fot(X_53)),bind(Z,$fot(X_86)),bind(X_18,$fot(X_87))]]) ).
cnf(refute_0_838,plain,
( meet(X_53,join(meet(X_87,X_53),X_86)) != meet(X_53,join(X_87,X_86))
| meet(X_53,meet(X_53,join(meet(X_87,X_53),X_86))) != meet(join(meet(X_87,X_53),X_86),X_53)
| meet(X_53,meet(X_53,join(X_87,X_86))) = meet(join(meet(X_87,X_53),X_86),X_53) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_53,meet(X_53,join(meet(X_87,X_53),X_86))),meet(join(meet(X_87,X_53),X_86),X_53)) ),[0,1],$fot(meet(X_53,join(X_87,X_86)))]]) ).
cnf(refute_0_839,plain,
( meet(X_53,meet(X_53,join(meet(X_87,X_53),X_86))) != meet(join(meet(X_87,X_53),X_86),X_53)
| meet(X_53,meet(X_53,join(X_87,X_86))) = meet(join(meet(X_87,X_53),X_86),X_53) ),
inference(resolve,[$cnf( $equal(meet(X_53,join(meet(X_87,X_53),X_86)),meet(X_53,join(X_87,X_86))) )],[refute_0_837,refute_0_838]) ).
cnf(refute_0_840,plain,
meet(X_53,meet(X_53,join(X_87,X_86))) = meet(join(meet(X_87,X_53),X_86),X_53),
inference(resolve,[$cnf( $equal(meet(X_53,meet(X_53,join(meet(X_87,X_53),X_86))),meet(join(meet(X_87,X_53),X_86),X_53)) )],[refute_0_836,refute_0_839]) ).
cnf(refute_0_841,plain,
meet(X_53,meet(X_53,join(X_87,X_86))) = meet(join(X_87,X_86),X_53),
inference(subst,[],[refute_0_835:[bind(X_54,$fot(join(X_87,X_86)))]]) ).
cnf(refute_0_842,plain,
( meet(X_53,meet(X_53,join(X_87,X_86))) != meet(join(X_87,X_86),X_53)
| meet(X_53,meet(X_53,join(X_87,X_86))) != meet(join(meet(X_87,X_53),X_86),X_53)
| meet(join(X_87,X_86),X_53) = meet(join(meet(X_87,X_53),X_86),X_53) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_53,meet(X_53,join(X_87,X_86))),meet(join(meet(X_87,X_53),X_86),X_53)) ),[0],$fot(meet(join(X_87,X_86),X_53))]]) ).
cnf(refute_0_843,plain,
( meet(X_53,meet(X_53,join(X_87,X_86))) != meet(join(meet(X_87,X_53),X_86),X_53)
| meet(join(X_87,X_86),X_53) = meet(join(meet(X_87,X_53),X_86),X_53) ),
inference(resolve,[$cnf( $equal(meet(X_53,meet(X_53,join(X_87,X_86))),meet(join(X_87,X_86),X_53)) )],[refute_0_841,refute_0_842]) ).
cnf(refute_0_844,plain,
meet(X_53,join(X_86,meet(X_87,X_53))) = meet(X_53,join(X_86,X_87)),
inference(subst,[],[refute_0_573:[bind(X,$fot(X_53)),bind(Y,$fot(X_86)),bind(X_18,$fot(X_87))]]) ).
cnf(refute_0_845,plain,
meet(join(X_84,X_83),Y) = meet(Y,join(X_84,X_83)),
inference(subst,[],[refute_0_829:[bind(X,$fot(join(X_84,X_83)))]]) ).
cnf(refute_0_846,plain,
meet(X_79,join(X_80,meet(X_81,X_79))) = meet(X_79,join(X_80,X_81)),
inference(subst,[],[refute_0_573:[bind(X,$fot(X_79)),bind(Y,$fot(X_80)),bind(X_18,$fot(X_81))]]) ).
cnf(refute_0_847,plain,
join(meet(X_81,X_79),X_80) = join(X_80,meet(X_81,X_79)),
inference(subst,[],[refute_0_800:[bind(X_59,$fot(meet(X_81,X_79))),bind(X_60,$fot(X_80))]]) ).
cnf(refute_0_848,plain,
( join(meet(X_81,X_79),X_80) != join(X_80,meet(X_81,X_79))
| join(X_80,meet(X_81,X_79)) = join(meet(X_81,X_79),X_80) ),
inference(subst,[],[refute_0_24:[bind(X0,$fot(join(meet(X_81,X_79),X_80))),bind(Y0,$fot(join(X_80,meet(X_81,X_79))))]]) ).
cnf(refute_0_849,plain,
join(X_80,meet(X_81,X_79)) = join(meet(X_81,X_79),X_80),
inference(resolve,[$cnf( $equal(join(meet(X_81,X_79),X_80),join(X_80,meet(X_81,X_79))) )],[refute_0_847,refute_0_848]) ).
cnf(refute_0_850,plain,
( join(X_80,meet(X_81,X_79)) != join(meet(X_81,X_79),X_80)
| meet(X_79,join(X_80,meet(X_81,X_79))) != meet(X_79,join(X_80,X_81))
| meet(X_79,join(meet(X_81,X_79),X_80)) = meet(X_79,join(X_80,X_81)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_79,join(X_80,meet(X_81,X_79))),meet(X_79,join(X_80,X_81))) ),[0,1],$fot(join(meet(X_81,X_79),X_80))]]) ).
cnf(refute_0_851,plain,
( meet(X_79,join(X_80,meet(X_81,X_79))) != meet(X_79,join(X_80,X_81))
| meet(X_79,join(meet(X_81,X_79),X_80)) = meet(X_79,join(X_80,X_81)) ),
inference(resolve,[$cnf( $equal(join(X_80,meet(X_81,X_79)),join(meet(X_81,X_79),X_80)) )],[refute_0_849,refute_0_850]) ).
cnf(refute_0_852,plain,
meet(X_79,join(meet(X_81,X_79),X_80)) = meet(X_79,join(X_80,X_81)),
inference(resolve,[$cnf( $equal(meet(X_79,join(X_80,meet(X_81,X_79))),meet(X_79,join(X_80,X_81))) )],[refute_0_846,refute_0_851]) ).
cnf(refute_0_853,plain,
meet(X_79,join(meet(X_81,X_79),X_80)) = meet(X_79,join(X_81,X_80)),
inference(subst,[],[refute_0_544:[bind(X,$fot(X_79)),bind(Z,$fot(X_80)),bind(X_18,$fot(X_81))]]) ).
cnf(refute_0_854,plain,
( meet(X_79,join(meet(X_81,X_79),X_80)) != meet(X_79,join(X_80,X_81))
| meet(X_79,join(meet(X_81,X_79),X_80)) != meet(X_79,join(X_81,X_80))
| meet(X_79,join(X_81,X_80)) = meet(X_79,join(X_80,X_81)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_79,join(meet(X_81,X_79),X_80)),meet(X_79,join(X_80,X_81))) ),[0],$fot(meet(X_79,join(X_81,X_80)))]]) ).
cnf(refute_0_855,plain,
( meet(X_79,join(meet(X_81,X_79),X_80)) != meet(X_79,join(X_80,X_81))
| meet(X_79,join(X_81,X_80)) = meet(X_79,join(X_80,X_81)) ),
inference(resolve,[$cnf( $equal(meet(X_79,join(meet(X_81,X_79),X_80)),meet(X_79,join(X_81,X_80))) )],[refute_0_853,refute_0_854]) ).
cnf(refute_0_856,plain,
meet(X_79,join(X_81,X_80)) = meet(X_79,join(X_80,X_81)),
inference(resolve,[$cnf( $equal(meet(X_79,join(meet(X_81,X_79),X_80)),meet(X_79,join(X_80,X_81))) )],[refute_0_852,refute_0_855]) ).
cnf(refute_0_857,plain,
meet(Y,join(X_84,X_83)) = meet(Y,join(X_83,X_84)),
inference(subst,[],[refute_0_856:[bind(X_79,$fot(Y)),bind(X_80,$fot(X_83)),bind(X_81,$fot(X_84))]]) ).
cnf(refute_0_858,plain,
( meet(Y,join(X_84,X_83)) != meet(Y,join(X_83,X_84))
| meet(join(X_84,X_83),Y) != meet(Y,join(X_84,X_83))
| meet(join(X_84,X_83),Y) = meet(Y,join(X_83,X_84)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_84,X_83),Y),meet(Y,join(X_84,X_83))) ),[1],$fot(meet(Y,join(X_83,X_84)))]]) ).
cnf(refute_0_859,plain,
( meet(join(X_84,X_83),Y) != meet(Y,join(X_84,X_83))
| meet(join(X_84,X_83),Y) = meet(Y,join(X_83,X_84)) ),
inference(resolve,[$cnf( $equal(meet(Y,join(X_84,X_83)),meet(Y,join(X_83,X_84))) )],[refute_0_857,refute_0_858]) ).
cnf(refute_0_860,plain,
meet(join(X_84,X_83),Y) = meet(Y,join(X_83,X_84)),
inference(resolve,[$cnf( $equal(meet(join(X_84,X_83),Y),meet(Y,join(X_84,X_83))) )],[refute_0_845,refute_0_859]) ).
cnf(refute_0_861,plain,
meet(join(meet(X_87,X_53),X_86),X_53) = meet(X_53,join(X_86,meet(X_87,X_53))),
inference(subst,[],[refute_0_860:[bind(Y,$fot(X_53)),bind(X_83,$fot(X_86)),bind(X_84,$fot(meet(X_87,X_53)))]]) ).
cnf(refute_0_862,plain,
( meet(X_53,join(X_86,meet(X_87,X_53))) != meet(X_53,join(X_86,X_87))
| meet(join(meet(X_87,X_53),X_86),X_53) != meet(X_53,join(X_86,meet(X_87,X_53)))
| meet(join(meet(X_87,X_53),X_86),X_53) = meet(X_53,join(X_86,X_87)) ),
inference(subst,[],[refute_0_84:[bind(X0,$fot(meet(join(meet(X_87,X_53),X_86),X_53))),bind(Y0,$fot(meet(X_53,join(X_86,meet(X_87,X_53))))),bind(Z0,$fot(meet(X_53,join(X_86,X_87))))]]) ).
cnf(refute_0_863,plain,
( meet(X_53,join(X_86,meet(X_87,X_53))) != meet(X_53,join(X_86,X_87))
| meet(join(meet(X_87,X_53),X_86),X_53) = meet(X_53,join(X_86,X_87)) ),
inference(resolve,[$cnf( $equal(meet(join(meet(X_87,X_53),X_86),X_53),meet(X_53,join(X_86,meet(X_87,X_53)))) )],[refute_0_861,refute_0_862]) ).
cnf(refute_0_864,plain,
meet(join(meet(X_87,X_53),X_86),X_53) = meet(X_53,join(X_86,X_87)),
inference(resolve,[$cnf( $equal(meet(X_53,join(X_86,meet(X_87,X_53))),meet(X_53,join(X_86,X_87))) )],[refute_0_844,refute_0_863]) ).
cnf(refute_0_865,plain,
( meet(join(X_87,X_86),X_53) != meet(join(meet(X_87,X_53),X_86),X_53)
| meet(join(meet(X_87,X_53),X_86),X_53) != meet(X_53,join(X_86,X_87))
| meet(join(X_87,X_86),X_53) = meet(X_53,join(X_86,X_87)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(meet(join(X_87,X_86),X_53),meet(X_53,join(X_86,X_87))) ),[0],$fot(meet(join(meet(X_87,X_53),X_86),X_53))]]) ).
cnf(refute_0_866,plain,
( meet(join(X_87,X_86),X_53) != meet(join(meet(X_87,X_53),X_86),X_53)
| meet(join(X_87,X_86),X_53) = meet(X_53,join(X_86,X_87)) ),
inference(resolve,[$cnf( $equal(meet(join(meet(X_87,X_53),X_86),X_53),meet(X_53,join(X_86,X_87))) )],[refute_0_864,refute_0_865]) ).
cnf(refute_0_867,plain,
( meet(X_53,meet(X_53,join(X_87,X_86))) != meet(join(meet(X_87,X_53),X_86),X_53)
| meet(join(X_87,X_86),X_53) = meet(X_53,join(X_86,X_87)) ),
inference(resolve,[$cnf( $equal(meet(join(X_87,X_86),X_53),meet(join(meet(X_87,X_53),X_86),X_53)) )],[refute_0_843,refute_0_866]) ).
cnf(refute_0_868,plain,
meet(join(X_87,X_86),X_53) = meet(X_53,join(X_86,X_87)),
inference(resolve,[$cnf( $equal(meet(X_53,meet(X_53,join(X_87,X_86))),meet(join(meet(X_87,X_53),X_86),X_53)) )],[refute_0_840,refute_0_867]) ).
cnf(refute_0_869,plain,
meet(join(X_6,X_7),join(Y,join(X_6,X_5))) = meet(join(Y,join(X_6,X_5)),join(X_7,X_6)),
inference(subst,[],[refute_0_868:[bind(X_53,$fot(join(Y,join(X_6,X_5)))),bind(X_86,$fot(X_7)),bind(X_87,$fot(X_6))]]) ).
cnf(refute_0_870,plain,
( meet(join(X_6,X_7),join(Y,join(X_6,X_5))) != join(join(X_6,meet(X_7,join(X_6,X_5))),meet(Y,join(X_6,X_7)))
| meet(join(X_6,X_7),join(Y,join(X_6,X_5))) != meet(join(Y,join(X_6,X_5)),join(X_7,X_6))
| meet(join(Y,join(X_6,X_5)),join(X_7,X_6)) = join(join(X_6,meet(X_7,join(X_6,X_5))),meet(Y,join(X_6,X_7))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_6,X_7),join(Y,join(X_6,X_5))),join(join(X_6,meet(X_7,join(X_6,X_5))),meet(Y,join(X_6,X_7)))) ),[0],$fot(meet(join(Y,join(X_6,X_5)),join(X_7,X_6)))]]) ).
cnf(refute_0_871,plain,
( meet(join(X_6,X_7),join(Y,join(X_6,X_5))) != join(join(X_6,meet(X_7,join(X_6,X_5))),meet(Y,join(X_6,X_7)))
| meet(join(Y,join(X_6,X_5)),join(X_7,X_6)) = join(join(X_6,meet(X_7,join(X_6,X_5))),meet(Y,join(X_6,X_7))) ),
inference(resolve,[$cnf( $equal(meet(join(X_6,X_7),join(Y,join(X_6,X_5))),meet(join(Y,join(X_6,X_5)),join(X_7,X_6))) )],[refute_0_869,refute_0_870]) ).
cnf(refute_0_872,plain,
meet(join(Y,join(X_6,X_5)),join(X_7,X_6)) = join(join(X_6,meet(X_7,join(X_6,X_5))),meet(Y,join(X_6,X_7))),
inference(resolve,[$cnf( $equal(meet(join(X_6,X_7),join(Y,join(X_6,X_5))),join(join(X_6,meet(X_7,join(X_6,X_5))),meet(Y,join(X_6,X_7)))) )],[refute_0_680,refute_0_871]) ).
cnf(refute_0_873,plain,
meet(join(X_67,join(Z,X_68)),join(Y,Z)) = join(meet(Z,join(X_67,join(Z,X_68))),meet(Y,join(X_67,join(Z,X_68)))),
inference(subst,[],[distribution:[bind(X,$fot(join(X_67,join(Z,X_68))))]]) ).
cnf(refute_0_874,plain,
meet(join(X_66,X_66),join(X_63,join(X_66,X_64))) = join(join(X_66,meet(X_66,join(X_66,X_64))),meet(X_63,join(X_66,X_66))),
inference(subst,[],[refute_0_680:[bind(Y,$fot(X_63)),bind(X_5,$fot(X_64)),bind(X_6,$fot(X_66)),bind(X_7,$fot(X_66))]]) ).
cnf(refute_0_875,plain,
join(X_66,X_66) = X_66,
inference(subst,[],[refute_0_445:[bind(Y,$fot(X_66))]]) ).
cnf(refute_0_876,plain,
( join(X_66,X_66) != X_66
| meet(join(X_66,X_66),join(X_63,join(X_66,X_64))) != join(join(X_66,meet(X_66,join(X_66,X_64))),meet(X_63,join(X_66,X_66)))
| meet(join(X_66,X_66),join(X_63,join(X_66,X_64))) = join(join(X_66,meet(X_66,join(X_66,X_64))),meet(X_63,X_66)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_66,X_66),join(X_63,join(X_66,X_64))),join(join(X_66,meet(X_66,join(X_66,X_64))),meet(X_63,join(X_66,X_66)))) ),[1,1,1],$fot(X_66)]]) ).
cnf(refute_0_877,plain,
( meet(join(X_66,X_66),join(X_63,join(X_66,X_64))) != join(join(X_66,meet(X_66,join(X_66,X_64))),meet(X_63,join(X_66,X_66)))
| meet(join(X_66,X_66),join(X_63,join(X_66,X_64))) = join(join(X_66,meet(X_66,join(X_66,X_64))),meet(X_63,X_66)) ),
inference(resolve,[$cnf( $equal(join(X_66,X_66),X_66) )],[refute_0_875,refute_0_876]) ).
cnf(refute_0_878,plain,
meet(join(X_66,X_66),join(X_63,join(X_66,X_64))) = join(join(X_66,meet(X_66,join(X_66,X_64))),meet(X_63,X_66)),
inference(resolve,[$cnf( $equal(meet(join(X_66,X_66),join(X_63,join(X_66,X_64))),join(join(X_66,meet(X_66,join(X_66,X_64))),meet(X_63,join(X_66,X_66)))) )],[refute_0_874,refute_0_877]) ).
cnf(refute_0_879,plain,
meet(join(X_66,X_66),join(X_63,join(X_66,X_64))) = meet(join(X_66,X_66),join(X_63,join(X_66,X_64))),
introduced(tautology,[refl,[$fot(meet(join(X_66,X_66),join(X_63,join(X_66,X_64))))]]) ).
cnf(refute_0_880,plain,
( join(X_66,X_66) != X_66
| meet(join(X_66,X_66),join(X_63,join(X_66,X_64))) != meet(join(X_66,X_66),join(X_63,join(X_66,X_64)))
| meet(join(X_66,X_66),join(X_63,join(X_66,X_64))) = meet(X_66,join(X_63,join(X_66,X_64))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_66,X_66),join(X_63,join(X_66,X_64))),meet(join(X_66,X_66),join(X_63,join(X_66,X_64)))) ),[1,0],$fot(X_66)]]) ).
cnf(refute_0_881,plain,
( join(X_66,X_66) != X_66
| meet(join(X_66,X_66),join(X_63,join(X_66,X_64))) = meet(X_66,join(X_63,join(X_66,X_64))) ),
inference(resolve,[$cnf( $equal(meet(join(X_66,X_66),join(X_63,join(X_66,X_64))),meet(join(X_66,X_66),join(X_63,join(X_66,X_64)))) )],[refute_0_879,refute_0_880]) ).
cnf(refute_0_882,plain,
meet(join(X_66,X_66),join(X_63,join(X_66,X_64))) = meet(X_66,join(X_63,join(X_66,X_64))),
inference(resolve,[$cnf( $equal(join(X_66,X_66),X_66) )],[refute_0_875,refute_0_881]) ).
cnf(refute_0_883,plain,
( meet(join(X_66,X_66),join(X_63,join(X_66,X_64))) != join(join(X_66,meet(X_66,join(X_66,X_64))),meet(X_63,X_66))
| meet(join(X_66,X_66),join(X_63,join(X_66,X_64))) != meet(X_66,join(X_63,join(X_66,X_64)))
| meet(X_66,join(X_63,join(X_66,X_64))) = join(join(X_66,meet(X_66,join(X_66,X_64))),meet(X_63,X_66)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_66,X_66),join(X_63,join(X_66,X_64))),join(join(X_66,meet(X_66,join(X_66,X_64))),meet(X_63,X_66))) ),[0],$fot(meet(X_66,join(X_63,join(X_66,X_64))))]]) ).
cnf(refute_0_884,plain,
( meet(join(X_66,X_66),join(X_63,join(X_66,X_64))) != join(join(X_66,meet(X_66,join(X_66,X_64))),meet(X_63,X_66))
| meet(X_66,join(X_63,join(X_66,X_64))) = join(join(X_66,meet(X_66,join(X_66,X_64))),meet(X_63,X_66)) ),
inference(resolve,[$cnf( $equal(meet(join(X_66,X_66),join(X_63,join(X_66,X_64))),meet(X_66,join(X_63,join(X_66,X_64)))) )],[refute_0_882,refute_0_883]) ).
cnf(refute_0_885,plain,
join(X_66,meet(X_63,X_66)) = X_66,
inference(subst,[],[refute_0_643:[bind(Z,$fot(X_63)),bind(X_29,$fot(X_66))]]) ).
cnf(refute_0_886,plain,
meet(X_66,join(X_66,X_64)) = X_66,
inference(subst,[],[absorption:[bind(X,$fot(X_66)),bind(Y,$fot(X_64))]]) ).
cnf(refute_0_887,plain,
join(X_66,meet(X_66,join(X_66,X_64))) = join(X_66,meet(X_66,join(X_66,X_64))),
introduced(tautology,[refl,[$fot(join(X_66,meet(X_66,join(X_66,X_64))))]]) ).
cnf(refute_0_888,plain,
( join(X_66,meet(X_66,join(X_66,X_64))) != join(X_66,meet(X_66,join(X_66,X_64)))
| meet(X_66,join(X_66,X_64)) != X_66
| join(X_66,meet(X_66,join(X_66,X_64))) = join(X_66,X_66) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_66,meet(X_66,join(X_66,X_64))),join(X_66,meet(X_66,join(X_66,X_64)))) ),[1,1],$fot(X_66)]]) ).
cnf(refute_0_889,plain,
( meet(X_66,join(X_66,X_64)) != X_66
| join(X_66,meet(X_66,join(X_66,X_64))) = join(X_66,X_66) ),
inference(resolve,[$cnf( $equal(join(X_66,meet(X_66,join(X_66,X_64))),join(X_66,meet(X_66,join(X_66,X_64)))) )],[refute_0_887,refute_0_888]) ).
cnf(refute_0_890,plain,
join(X_66,meet(X_66,join(X_66,X_64))) = join(X_66,X_66),
inference(resolve,[$cnf( $equal(meet(X_66,join(X_66,X_64)),X_66) )],[refute_0_886,refute_0_889]) ).
cnf(refute_0_891,plain,
( join(X_66,X_66) != X_66
| join(X_66,meet(X_66,join(X_66,X_64))) != join(X_66,X_66)
| join(X_66,meet(X_66,join(X_66,X_64))) = X_66 ),
inference(subst,[],[refute_0_84:[bind(X0,$fot(join(X_66,meet(X_66,join(X_66,X_64))))),bind(Y0,$fot(join(X_66,X_66))),bind(Z0,$fot(X_66))]]) ).
cnf(refute_0_892,plain,
( join(X_66,X_66) != X_66
| join(X_66,meet(X_66,join(X_66,X_64))) = X_66 ),
inference(resolve,[$cnf( $equal(join(X_66,meet(X_66,join(X_66,X_64))),join(X_66,X_66)) )],[refute_0_890,refute_0_891]) ).
cnf(refute_0_893,plain,
join(X_66,meet(X_66,join(X_66,X_64))) = X_66,
inference(resolve,[$cnf( $equal(join(X_66,X_66),X_66) )],[refute_0_875,refute_0_892]) ).
cnf(refute_0_894,plain,
join(join(X_66,meet(X_66,join(X_66,X_64))),meet(X_63,X_66)) = join(join(X_66,meet(X_66,join(X_66,X_64))),meet(X_63,X_66)),
introduced(tautology,[refl,[$fot(join(join(X_66,meet(X_66,join(X_66,X_64))),meet(X_63,X_66)))]]) ).
cnf(refute_0_895,plain,
( join(X_66,meet(X_66,join(X_66,X_64))) != X_66
| join(join(X_66,meet(X_66,join(X_66,X_64))),meet(X_63,X_66)) != join(join(X_66,meet(X_66,join(X_66,X_64))),meet(X_63,X_66))
| join(join(X_66,meet(X_66,join(X_66,X_64))),meet(X_63,X_66)) = join(X_66,meet(X_63,X_66)) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(X_66,meet(X_66,join(X_66,X_64))),meet(X_63,X_66)),join(join(X_66,meet(X_66,join(X_66,X_64))),meet(X_63,X_66))) ),[1,0],$fot(X_66)]]) ).
cnf(refute_0_896,plain,
( join(X_66,meet(X_66,join(X_66,X_64))) != X_66
| join(join(X_66,meet(X_66,join(X_66,X_64))),meet(X_63,X_66)) = join(X_66,meet(X_63,X_66)) ),
inference(resolve,[$cnf( $equal(join(join(X_66,meet(X_66,join(X_66,X_64))),meet(X_63,X_66)),join(join(X_66,meet(X_66,join(X_66,X_64))),meet(X_63,X_66))) )],[refute_0_894,refute_0_895]) ).
cnf(refute_0_897,plain,
join(join(X_66,meet(X_66,join(X_66,X_64))),meet(X_63,X_66)) = join(X_66,meet(X_63,X_66)),
inference(resolve,[$cnf( $equal(join(X_66,meet(X_66,join(X_66,X_64))),X_66) )],[refute_0_893,refute_0_896]) ).
cnf(refute_0_898,plain,
( join(X_66,meet(X_63,X_66)) != X_66
| join(join(X_66,meet(X_66,join(X_66,X_64))),meet(X_63,X_66)) != join(X_66,meet(X_63,X_66))
| join(join(X_66,meet(X_66,join(X_66,X_64))),meet(X_63,X_66)) = X_66 ),
inference(subst,[],[refute_0_84:[bind(X0,$fot(join(join(X_66,meet(X_66,join(X_66,X_64))),meet(X_63,X_66)))),bind(Y0,$fot(join(X_66,meet(X_63,X_66)))),bind(Z0,$fot(X_66))]]) ).
cnf(refute_0_899,plain,
( join(X_66,meet(X_63,X_66)) != X_66
| join(join(X_66,meet(X_66,join(X_66,X_64))),meet(X_63,X_66)) = X_66 ),
inference(resolve,[$cnf( $equal(join(join(X_66,meet(X_66,join(X_66,X_64))),meet(X_63,X_66)),join(X_66,meet(X_63,X_66))) )],[refute_0_897,refute_0_898]) ).
cnf(refute_0_900,plain,
join(join(X_66,meet(X_66,join(X_66,X_64))),meet(X_63,X_66)) = X_66,
inference(resolve,[$cnf( $equal(join(X_66,meet(X_63,X_66)),X_66) )],[refute_0_885,refute_0_899]) ).
cnf(refute_0_901,plain,
( join(join(X_66,meet(X_66,join(X_66,X_64))),meet(X_63,X_66)) != X_66
| meet(X_66,join(X_63,join(X_66,X_64))) != join(join(X_66,meet(X_66,join(X_66,X_64))),meet(X_63,X_66))
| meet(X_66,join(X_63,join(X_66,X_64))) = X_66 ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_66,join(X_63,join(X_66,X_64))),join(join(X_66,meet(X_66,join(X_66,X_64))),meet(X_63,X_66))) ),[1],$fot(X_66)]]) ).
cnf(refute_0_902,plain,
( meet(X_66,join(X_63,join(X_66,X_64))) != join(join(X_66,meet(X_66,join(X_66,X_64))),meet(X_63,X_66))
| meet(X_66,join(X_63,join(X_66,X_64))) = X_66 ),
inference(resolve,[$cnf( $equal(join(join(X_66,meet(X_66,join(X_66,X_64))),meet(X_63,X_66)),X_66) )],[refute_0_900,refute_0_901]) ).
cnf(refute_0_903,plain,
( meet(join(X_66,X_66),join(X_63,join(X_66,X_64))) != join(join(X_66,meet(X_66,join(X_66,X_64))),meet(X_63,X_66))
| meet(X_66,join(X_63,join(X_66,X_64))) = X_66 ),
inference(resolve,[$cnf( $equal(meet(X_66,join(X_63,join(X_66,X_64))),join(join(X_66,meet(X_66,join(X_66,X_64))),meet(X_63,X_66))) )],[refute_0_884,refute_0_902]) ).
cnf(refute_0_904,plain,
meet(X_66,join(X_63,join(X_66,X_64))) = X_66,
inference(resolve,[$cnf( $equal(meet(join(X_66,X_66),join(X_63,join(X_66,X_64))),join(join(X_66,meet(X_66,join(X_66,X_64))),meet(X_63,X_66))) )],[refute_0_878,refute_0_903]) ).
cnf(refute_0_905,plain,
meet(Z,join(X_67,join(Z,X_68))) = Z,
inference(subst,[],[refute_0_904:[bind(X_63,$fot(X_67)),bind(X_64,$fot(X_68)),bind(X_66,$fot(Z))]]) ).
cnf(refute_0_906,plain,
( meet(Z,join(X_67,join(Z,X_68))) != Z
| meet(join(X_67,join(Z,X_68)),join(Y,Z)) != join(meet(Z,join(X_67,join(Z,X_68))),meet(Y,join(X_67,join(Z,X_68))))
| meet(join(X_67,join(Z,X_68)),join(Y,Z)) = join(Z,meet(Y,join(X_67,join(Z,X_68)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_67,join(Z,X_68)),join(Y,Z)),join(meet(Z,join(X_67,join(Z,X_68))),meet(Y,join(X_67,join(Z,X_68))))) ),[1,0],$fot(Z)]]) ).
cnf(refute_0_907,plain,
( meet(join(X_67,join(Z,X_68)),join(Y,Z)) != join(meet(Z,join(X_67,join(Z,X_68))),meet(Y,join(X_67,join(Z,X_68))))
| meet(join(X_67,join(Z,X_68)),join(Y,Z)) = join(Z,meet(Y,join(X_67,join(Z,X_68)))) ),
inference(resolve,[$cnf( $equal(meet(Z,join(X_67,join(Z,X_68))),Z) )],[refute_0_905,refute_0_906]) ).
cnf(refute_0_908,plain,
meet(join(X_67,join(Z,X_68)),join(Y,Z)) = join(Z,meet(Y,join(X_67,join(Z,X_68)))),
inference(resolve,[$cnf( $equal(meet(join(X_67,join(Z,X_68)),join(Y,Z)),join(meet(Z,join(X_67,join(Z,X_68))),meet(Y,join(X_67,join(Z,X_68))))) )],[refute_0_873,refute_0_907]) ).
cnf(refute_0_909,plain,
meet(join(Y,join(X_6,X_5)),join(X_7,X_6)) = join(X_6,meet(X_7,join(Y,join(X_6,X_5)))),
inference(subst,[],[refute_0_908:[bind(Y,$fot(X_7)),bind(Z,$fot(X_6)),bind(X_67,$fot(Y)),bind(X_68,$fot(X_5))]]) ).
cnf(refute_0_910,plain,
( meet(join(Y,join(X_6,X_5)),join(X_7,X_6)) != join(X_6,meet(X_7,join(Y,join(X_6,X_5))))
| meet(join(Y,join(X_6,X_5)),join(X_7,X_6)) != join(join(X_6,meet(X_7,join(X_6,X_5))),meet(Y,join(X_6,X_7)))
| join(X_6,meet(X_7,join(Y,join(X_6,X_5)))) = join(join(X_6,meet(X_7,join(X_6,X_5))),meet(Y,join(X_6,X_7))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(Y,join(X_6,X_5)),join(X_7,X_6)),join(join(X_6,meet(X_7,join(X_6,X_5))),meet(Y,join(X_6,X_7)))) ),[0],$fot(join(X_6,meet(X_7,join(Y,join(X_6,X_5)))))]]) ).
cnf(refute_0_911,plain,
( meet(join(Y,join(X_6,X_5)),join(X_7,X_6)) != join(join(X_6,meet(X_7,join(X_6,X_5))),meet(Y,join(X_6,X_7)))
| join(X_6,meet(X_7,join(Y,join(X_6,X_5)))) = join(join(X_6,meet(X_7,join(X_6,X_5))),meet(Y,join(X_6,X_7))) ),
inference(resolve,[$cnf( $equal(meet(join(Y,join(X_6,X_5)),join(X_7,X_6)),join(X_6,meet(X_7,join(Y,join(X_6,X_5))))) )],[refute_0_909,refute_0_910]) ).
cnf(refute_0_912,plain,
( join(X_6,meet(X_7,join(Y,join(X_6,X_5)))) != join(join(X_6,meet(X_7,join(X_6,X_5))),meet(Y,join(X_6,X_7)))
| join(join(X_6,meet(X_7,join(X_6,X_5))),meet(Y,join(X_6,X_7))) != meet(join(X_6,X_7),join(Y,join(X_6,X_5)))
| join(X_6,meet(X_7,join(Y,join(X_6,X_5)))) = meet(join(X_6,X_7),join(Y,join(X_6,X_5))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_6,meet(X_7,join(Y,join(X_6,X_5)))),meet(join(X_6,X_7),join(Y,join(X_6,X_5)))) ),[0],$fot(join(join(X_6,meet(X_7,join(X_6,X_5))),meet(Y,join(X_6,X_7))))]]) ).
cnf(refute_0_913,plain,
( join(X_6,meet(X_7,join(Y,join(X_6,X_5)))) != join(join(X_6,meet(X_7,join(X_6,X_5))),meet(Y,join(X_6,X_7)))
| join(X_6,meet(X_7,join(Y,join(X_6,X_5)))) = meet(join(X_6,X_7),join(Y,join(X_6,X_5))) ),
inference(resolve,[$cnf( $equal(join(join(X_6,meet(X_7,join(X_6,X_5))),meet(Y,join(X_6,X_7))),meet(join(X_6,X_7),join(Y,join(X_6,X_5)))) )],[refute_0_808,refute_0_912]) ).
cnf(refute_0_914,plain,
( meet(join(Y,join(X_6,X_5)),join(X_7,X_6)) != join(join(X_6,meet(X_7,join(X_6,X_5))),meet(Y,join(X_6,X_7)))
| join(X_6,meet(X_7,join(Y,join(X_6,X_5)))) = meet(join(X_6,X_7),join(Y,join(X_6,X_5))) ),
inference(resolve,[$cnf( $equal(join(X_6,meet(X_7,join(Y,join(X_6,X_5)))),join(join(X_6,meet(X_7,join(X_6,X_5))),meet(Y,join(X_6,X_7)))) )],[refute_0_911,refute_0_913]) ).
cnf(refute_0_915,plain,
join(X_6,meet(X_7,join(Y,join(X_6,X_5)))) = meet(join(X_6,X_7),join(Y,join(X_6,X_5))),
inference(resolve,[$cnf( $equal(meet(join(Y,join(X_6,X_5)),join(X_7,X_6)),join(join(X_6,meet(X_7,join(X_6,X_5))),meet(Y,join(X_6,X_7)))) )],[refute_0_872,refute_0_914]) ).
cnf(refute_0_916,plain,
( join(X_6,meet(X_7,join(Y,join(X_6,X_5)))) != meet(join(X_6,X_7),join(Y,join(X_6,X_5)))
| meet(join(X_6,X_7),join(Y,join(X_6,X_5))) = join(X_6,meet(X_7,join(Y,join(X_6,X_5)))) ),
inference(subst,[],[refute_0_24:[bind(X0,$fot(join(X_6,meet(X_7,join(Y,join(X_6,X_5)))))),bind(Y0,$fot(meet(join(X_6,X_7),join(Y,join(X_6,X_5)))))]]) ).
cnf(refute_0_917,plain,
meet(join(X_6,X_7),join(Y,join(X_6,X_5))) = join(X_6,meet(X_7,join(Y,join(X_6,X_5)))),
inference(resolve,[$cnf( $equal(join(X_6,meet(X_7,join(Y,join(X_6,X_5)))),meet(join(X_6,X_7),join(Y,join(X_6,X_5)))) )],[refute_0_915,refute_0_916]) ).
cnf(refute_0_918,plain,
meet(join(X_65,X_66),join(X_63,join(X_65,X_64))) = join(X_65,meet(X_66,join(X_63,join(X_65,X_64)))),
inference(subst,[],[refute_0_917:[bind(Y,$fot(X_63)),bind(X_5,$fot(X_64)),bind(X_6,$fot(X_65)),bind(X_7,$fot(X_66))]]) ).
cnf(refute_0_919,plain,
( meet(join(X_65,X_66),join(X_63,join(X_65,X_64))) != join(X_65,meet(X_66,join(X_63,join(X_65,X_64))))
| meet(join(X_66,X_65),join(X_63,join(X_65,X_64))) != meet(join(X_65,X_66),join(X_63,join(X_65,X_64)))
| meet(join(X_66,X_65),join(X_63,join(X_65,X_64))) = join(X_65,meet(X_66,join(X_63,join(X_65,X_64)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_66,X_65),join(X_63,join(X_65,X_64))),meet(join(X_65,X_66),join(X_63,join(X_65,X_64)))) ),[1],$fot(join(X_65,meet(X_66,join(X_63,join(X_65,X_64)))))]]) ).
cnf(refute_0_920,plain,
( meet(join(X_66,X_65),join(X_63,join(X_65,X_64))) != meet(join(X_65,X_66),join(X_63,join(X_65,X_64)))
| meet(join(X_66,X_65),join(X_63,join(X_65,X_64))) = join(X_65,meet(X_66,join(X_63,join(X_65,X_64)))) ),
inference(resolve,[$cnf( $equal(meet(join(X_65,X_66),join(X_63,join(X_65,X_64))),join(X_65,meet(X_66,join(X_63,join(X_65,X_64))))) )],[refute_0_918,refute_0_919]) ).
cnf(refute_0_921,plain,
meet(join(X_66,X_65),join(X_63,join(X_65,X_64))) = join(X_65,meet(X_66,join(X_63,join(X_65,X_64)))),
inference(resolve,[$cnf( $equal(meet(join(X_66,X_65),join(X_63,join(X_65,X_64))),meet(join(X_65,X_66),join(X_63,join(X_65,X_64)))) )],[refute_0_812,refute_0_920]) ).
cnf(refute_0_922,plain,
meet(join(X_9,X_10),join(Y,join(X_10,X_8))) = join(X_10,meet(X_9,join(Y,join(X_10,X_8)))),
inference(subst,[],[refute_0_921:[bind(X_63,$fot(Y)),bind(X_64,$fot(X_8)),bind(X_65,$fot(X_10)),bind(X_66,$fot(X_9))]]) ).
cnf(refute_0_923,plain,
( meet(join(X_9,X_10),join(Y,join(X_10,X_8))) != join(X_10,meet(X_9,join(Y,join(X_10,X_8))))
| meet(join(X_9,X_10),join(Y,join(X_10,X_8))) != join(join(X_10,meet(X_9,join(X_10,X_8))),meet(Y,join(X_9,X_10)))
| join(X_10,meet(X_9,join(Y,join(X_10,X_8)))) = join(join(X_10,meet(X_9,join(X_10,X_8))),meet(Y,join(X_9,X_10))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_9,X_10),join(Y,join(X_10,X_8))),join(join(X_10,meet(X_9,join(X_10,X_8))),meet(Y,join(X_9,X_10)))) ),[0],$fot(join(X_10,meet(X_9,join(Y,join(X_10,X_8)))))]]) ).
cnf(refute_0_924,plain,
( meet(join(X_9,X_10),join(Y,join(X_10,X_8))) != join(join(X_10,meet(X_9,join(X_10,X_8))),meet(Y,join(X_9,X_10)))
| join(X_10,meet(X_9,join(Y,join(X_10,X_8)))) = join(join(X_10,meet(X_9,join(X_10,X_8))),meet(Y,join(X_9,X_10))) ),
inference(resolve,[$cnf( $equal(meet(join(X_9,X_10),join(Y,join(X_10,X_8))),join(X_10,meet(X_9,join(Y,join(X_10,X_8))))) )],[refute_0_922,refute_0_923]) ).
cnf(refute_0_925,plain,
join(X_10,meet(X_9,join(Y,join(X_10,X_8)))) = join(join(X_10,meet(X_9,join(X_10,X_8))),meet(Y,join(X_9,X_10))),
inference(resolve,[$cnf( $equal(meet(join(X_9,X_10),join(Y,join(X_10,X_8))),join(join(X_10,meet(X_9,join(X_10,X_8))),meet(Y,join(X_9,X_10)))) )],[refute_0_9,refute_0_924]) ).
cnf(refute_0_926,plain,
join(X_92,meet(X_94,join(X_94,join(X_92,X_93)))) = join(join(X_92,meet(X_94,join(X_92,X_93))),meet(X_94,join(X_94,X_92))),
inference(subst,[],[refute_0_925:[bind(Y,$fot(X_94)),bind(X_10,$fot(X_92)),bind(X_8,$fot(X_93)),bind(X_9,$fot(X_94))]]) ).
cnf(refute_0_927,plain,
meet(X_94,join(X_94,X_92)) = X_94,
inference(subst,[],[absorption:[bind(X,$fot(X_94)),bind(Y,$fot(X_92))]]) ).
cnf(refute_0_928,plain,
( join(X_92,meet(X_94,join(X_94,join(X_92,X_93)))) != join(join(X_92,meet(X_94,join(X_92,X_93))),meet(X_94,join(X_94,X_92)))
| meet(X_94,join(X_94,X_92)) != X_94
| join(X_92,meet(X_94,join(X_94,join(X_92,X_93)))) = join(join(X_92,meet(X_94,join(X_92,X_93))),X_94) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_92,meet(X_94,join(X_94,join(X_92,X_93)))),join(join(X_92,meet(X_94,join(X_92,X_93))),meet(X_94,join(X_94,X_92)))) ),[1,1],$fot(X_94)]]) ).
cnf(refute_0_929,plain,
( join(X_92,meet(X_94,join(X_94,join(X_92,X_93)))) != join(join(X_92,meet(X_94,join(X_92,X_93))),meet(X_94,join(X_94,X_92)))
| join(X_92,meet(X_94,join(X_94,join(X_92,X_93)))) = join(join(X_92,meet(X_94,join(X_92,X_93))),X_94) ),
inference(resolve,[$cnf( $equal(meet(X_94,join(X_94,X_92)),X_94) )],[refute_0_927,refute_0_928]) ).
cnf(refute_0_930,plain,
join(X_92,meet(X_94,join(X_94,join(X_92,X_93)))) = join(join(X_92,meet(X_94,join(X_92,X_93))),X_94),
inference(resolve,[$cnf( $equal(join(X_92,meet(X_94,join(X_94,join(X_92,X_93)))),join(join(X_92,meet(X_94,join(X_92,X_93))),meet(X_94,join(X_94,X_92)))) )],[refute_0_926,refute_0_929]) ).
cnf(refute_0_931,plain,
meet(X_94,join(X_94,join(X_92,X_93))) = X_94,
inference(subst,[],[absorption:[bind(X,$fot(X_94)),bind(Y,$fot(join(X_92,X_93)))]]) ).
cnf(refute_0_932,plain,
join(X_92,meet(X_94,join(X_94,join(X_92,X_93)))) = join(X_92,meet(X_94,join(X_94,join(X_92,X_93)))),
introduced(tautology,[refl,[$fot(join(X_92,meet(X_94,join(X_94,join(X_92,X_93)))))]]) ).
cnf(refute_0_933,plain,
( join(X_92,meet(X_94,join(X_94,join(X_92,X_93)))) != join(X_92,meet(X_94,join(X_94,join(X_92,X_93))))
| meet(X_94,join(X_94,join(X_92,X_93))) != X_94
| join(X_92,meet(X_94,join(X_94,join(X_92,X_93)))) = join(X_92,X_94) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_92,meet(X_94,join(X_94,join(X_92,X_93)))),join(X_92,meet(X_94,join(X_94,join(X_92,X_93))))) ),[1,1],$fot(X_94)]]) ).
cnf(refute_0_934,plain,
( meet(X_94,join(X_94,join(X_92,X_93))) != X_94
| join(X_92,meet(X_94,join(X_94,join(X_92,X_93)))) = join(X_92,X_94) ),
inference(resolve,[$cnf( $equal(join(X_92,meet(X_94,join(X_94,join(X_92,X_93)))),join(X_92,meet(X_94,join(X_94,join(X_92,X_93))))) )],[refute_0_932,refute_0_933]) ).
cnf(refute_0_935,plain,
join(X_92,meet(X_94,join(X_94,join(X_92,X_93)))) = join(X_92,X_94),
inference(resolve,[$cnf( $equal(meet(X_94,join(X_94,join(X_92,X_93))),X_94) )],[refute_0_931,refute_0_934]) ).
cnf(refute_0_936,plain,
( join(X_92,meet(X_94,join(X_94,join(X_92,X_93)))) != join(X_92,X_94)
| join(X_92,meet(X_94,join(X_94,join(X_92,X_93)))) != join(join(X_92,meet(X_94,join(X_92,X_93))),X_94)
| join(X_92,X_94) = join(join(X_92,meet(X_94,join(X_92,X_93))),X_94) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_92,meet(X_94,join(X_94,join(X_92,X_93)))),join(join(X_92,meet(X_94,join(X_92,X_93))),X_94)) ),[0],$fot(join(X_92,X_94))]]) ).
cnf(refute_0_937,plain,
( join(X_92,meet(X_94,join(X_94,join(X_92,X_93)))) != join(join(X_92,meet(X_94,join(X_92,X_93))),X_94)
| join(X_92,X_94) = join(join(X_92,meet(X_94,join(X_92,X_93))),X_94) ),
inference(resolve,[$cnf( $equal(join(X_92,meet(X_94,join(X_94,join(X_92,X_93)))),join(X_92,X_94)) )],[refute_0_935,refute_0_936]) ).
cnf(refute_0_938,plain,
join(join(X_92,meet(X_94,join(X_92,X_93))),X_94) = join(X_94,join(X_92,meet(X_94,join(X_92,X_93)))),
inference(subst,[],[refute_0_800:[bind(X_59,$fot(join(X_92,meet(X_94,join(X_92,X_93))))),bind(X_60,$fot(X_94))]]) ).
cnf(refute_0_939,plain,
( join(X_92,X_94) != join(join(X_92,meet(X_94,join(X_92,X_93))),X_94)
| join(join(X_92,meet(X_94,join(X_92,X_93))),X_94) != join(X_94,join(X_92,meet(X_94,join(X_92,X_93))))
| join(X_92,X_94) = join(X_94,join(X_92,meet(X_94,join(X_92,X_93)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_92,X_94),join(X_94,join(X_92,meet(X_94,join(X_92,X_93))))) ),[0],$fot(join(join(X_92,meet(X_94,join(X_92,X_93))),X_94))]]) ).
cnf(refute_0_940,plain,
( join(X_92,X_94) != join(join(X_92,meet(X_94,join(X_92,X_93))),X_94)
| join(X_92,X_94) = join(X_94,join(X_92,meet(X_94,join(X_92,X_93)))) ),
inference(resolve,[$cnf( $equal(join(join(X_92,meet(X_94,join(X_92,X_93))),X_94),join(X_94,join(X_92,meet(X_94,join(X_92,X_93))))) )],[refute_0_938,refute_0_939]) ).
cnf(refute_0_941,plain,
( join(X_92,meet(X_94,join(X_94,join(X_92,X_93)))) != join(join(X_92,meet(X_94,join(X_92,X_93))),X_94)
| join(X_92,X_94) = join(X_94,join(X_92,meet(X_94,join(X_92,X_93)))) ),
inference(resolve,[$cnf( $equal(join(X_92,X_94),join(join(X_92,meet(X_94,join(X_92,X_93))),X_94)) )],[refute_0_937,refute_0_940]) ).
cnf(refute_0_942,plain,
join(X_92,X_94) = join(X_94,join(X_92,meet(X_94,join(X_92,X_93)))),
inference(resolve,[$cnf( $equal(join(X_92,meet(X_94,join(X_94,join(X_92,X_93)))),join(join(X_92,meet(X_94,join(X_92,X_93))),X_94)) )],[refute_0_930,refute_0_941]) ).
cnf(refute_0_943,plain,
join(meet(X_18,X_97),X_97) = join(X_97,join(meet(X_18,X_97),meet(X_97,join(meet(X_18,X_97),X_96)))),
inference(subst,[],[refute_0_942:[bind(X_92,$fot(meet(X_18,X_97))),bind(X_93,$fot(X_96)),bind(X_94,$fot(X_97))]]) ).
cnf(refute_0_944,plain,
meet(X_97,join(meet(X_18,X_97),X_96)) = meet(X_97,join(X_18,X_96)),
inference(subst,[],[refute_0_544:[bind(X,$fot(X_97)),bind(Z,$fot(X_96))]]) ).
cnf(refute_0_945,plain,
( join(meet(X_18,X_97),X_97) != join(X_97,join(meet(X_18,X_97),meet(X_97,join(meet(X_18,X_97),X_96))))
| meet(X_97,join(meet(X_18,X_97),X_96)) != meet(X_97,join(X_18,X_96))
| join(meet(X_18,X_97),X_97) = join(X_97,join(meet(X_18,X_97),meet(X_97,join(X_18,X_96)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_18,X_97),X_97),join(X_97,join(meet(X_18,X_97),meet(X_97,join(meet(X_18,X_97),X_96))))) ),[1,1,1],$fot(meet(X_97,join(X_18,X_96)))]]) ).
cnf(refute_0_946,plain,
( join(meet(X_18,X_97),X_97) != join(X_97,join(meet(X_18,X_97),meet(X_97,join(meet(X_18,X_97),X_96))))
| join(meet(X_18,X_97),X_97) = join(X_97,join(meet(X_18,X_97),meet(X_97,join(X_18,X_96)))) ),
inference(resolve,[$cnf( $equal(meet(X_97,join(meet(X_18,X_97),X_96)),meet(X_97,join(X_18,X_96))) )],[refute_0_944,refute_0_945]) ).
cnf(refute_0_947,plain,
join(meet(X_18,X_97),X_97) = join(X_97,join(meet(X_18,X_97),meet(X_97,join(X_18,X_96)))),
inference(resolve,[$cnf( $equal(join(meet(X_18,X_97),X_97),join(X_97,join(meet(X_18,X_97),meet(X_97,join(meet(X_18,X_97),X_96))))) )],[refute_0_943,refute_0_946]) ).
cnf(refute_0_948,plain,
join(X_97,meet(X_18,X_97)) = X_97,
inference(subst,[],[refute_0_643:[bind(Z,$fot(X_18)),bind(X_29,$fot(X_97))]]) ).
cnf(refute_0_949,plain,
join(meet(X_18,X_97),X_97) = join(X_97,meet(X_18,X_97)),
inference(subst,[],[refute_0_800:[bind(X_59,$fot(meet(X_18,X_97))),bind(X_60,$fot(X_97))]]) ).
cnf(refute_0_950,plain,
( join(X_97,meet(X_18,X_97)) != X_97
| join(meet(X_18,X_97),X_97) != join(X_97,meet(X_18,X_97))
| join(meet(X_18,X_97),X_97) = X_97 ),
inference(subst,[],[refute_0_84:[bind(X0,$fot(join(meet(X_18,X_97),X_97))),bind(Y0,$fot(join(X_97,meet(X_18,X_97)))),bind(Z0,$fot(X_97))]]) ).
cnf(refute_0_951,plain,
( join(X_97,meet(X_18,X_97)) != X_97
| join(meet(X_18,X_97),X_97) = X_97 ),
inference(resolve,[$cnf( $equal(join(meet(X_18,X_97),X_97),join(X_97,meet(X_18,X_97))) )],[refute_0_949,refute_0_950]) ).
cnf(refute_0_952,plain,
join(meet(X_18,X_97),X_97) = X_97,
inference(resolve,[$cnf( $equal(join(X_97,meet(X_18,X_97)),X_97) )],[refute_0_948,refute_0_951]) ).
cnf(refute_0_953,plain,
( join(meet(X_18,X_97),X_97) != X_97
| join(meet(X_18,X_97),X_97) != join(X_97,join(meet(X_18,X_97),meet(X_97,join(X_18,X_96))))
| X_97 = join(X_97,join(meet(X_18,X_97),meet(X_97,join(X_18,X_96)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_18,X_97),X_97),join(X_97,join(meet(X_18,X_97),meet(X_97,join(X_18,X_96))))) ),[0],$fot(X_97)]]) ).
cnf(refute_0_954,plain,
( join(meet(X_18,X_97),X_97) != join(X_97,join(meet(X_18,X_97),meet(X_97,join(X_18,X_96))))
| X_97 = join(X_97,join(meet(X_18,X_97),meet(X_97,join(X_18,X_96)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_18,X_97),X_97),X_97) )],[refute_0_952,refute_0_953]) ).
cnf(refute_0_955,plain,
join(X_18,join(X_18,X_96)) = join(X_18,X_96),
inference(subst,[],[refute_0_786:[bind(Y,$fot(X_96)),bind(X_11,$fot(X_18))]]) ).
cnf(refute_0_956,plain,
meet(X_97,join(X_18,join(X_18,X_96))) = meet(X_97,join(X_18,join(X_18,X_96))),
introduced(tautology,[refl,[$fot(meet(X_97,join(X_18,join(X_18,X_96))))]]) ).
cnf(refute_0_957,plain,
( join(X_18,join(X_18,X_96)) != join(X_18,X_96)
| meet(X_97,join(X_18,join(X_18,X_96))) != meet(X_97,join(X_18,join(X_18,X_96)))
| meet(X_97,join(X_18,join(X_18,X_96))) = meet(X_97,join(X_18,X_96)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_97,join(X_18,join(X_18,X_96))),meet(X_97,join(X_18,join(X_18,X_96)))) ),[1,1],$fot(join(X_18,X_96))]]) ).
cnf(refute_0_958,plain,
( join(X_18,join(X_18,X_96)) != join(X_18,X_96)
| meet(X_97,join(X_18,join(X_18,X_96))) = meet(X_97,join(X_18,X_96)) ),
inference(resolve,[$cnf( $equal(meet(X_97,join(X_18,join(X_18,X_96))),meet(X_97,join(X_18,join(X_18,X_96)))) )],[refute_0_956,refute_0_957]) ).
cnf(refute_0_959,plain,
meet(X_97,join(X_18,join(X_18,X_96))) = meet(X_97,join(X_18,X_96)),
inference(resolve,[$cnf( $equal(join(X_18,join(X_18,X_96)),join(X_18,X_96)) )],[refute_0_955,refute_0_958]) ).
cnf(refute_0_960,plain,
( meet(X_79,join(X_81,X_80)) != meet(X_79,join(X_80,X_81))
| meet(X_79,join(X_80,X_81)) = meet(X_79,join(X_81,X_80)) ),
inference(subst,[],[refute_0_24:[bind(X0,$fot(meet(X_79,join(X_81,X_80)))),bind(Y0,$fot(meet(X_79,join(X_80,X_81))))]]) ).
cnf(refute_0_961,plain,
meet(X_79,join(X_80,X_81)) = meet(X_79,join(X_81,X_80)),
inference(resolve,[$cnf( $equal(meet(X_79,join(X_81,X_80)),meet(X_79,join(X_80,X_81))) )],[refute_0_856,refute_0_960]) ).
cnf(refute_0_962,plain,
meet(X_97,join(join(X_18,X_96),X_18)) = meet(X_97,join(X_18,join(X_18,X_96))),
inference(subst,[],[refute_0_961:[bind(X_79,$fot(X_97)),bind(X_80,$fot(join(X_18,X_96))),bind(X_81,$fot(X_18))]]) ).
cnf(refute_0_963,plain,
meet(Y,X) = meet(X,Y),
inference(subst,[],[refute_0_829:[bind(X,$fot(Y)),bind(Y,$fot(X))]]) ).
cnf(refute_0_964,plain,
( meet(X,join(Y,Z)) != join(meet(Z,X),meet(Y,X))
| meet(Y,X) != meet(X,Y)
| meet(X,join(Y,Z)) = join(meet(Z,X),meet(X,Y)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X,join(Y,Z)),join(meet(Z,X),meet(Y,X))) ),[1,1],$fot(meet(X,Y))]]) ).
cnf(refute_0_965,plain,
( meet(X,join(Y,Z)) != join(meet(Z,X),meet(Y,X))
| meet(X,join(Y,Z)) = join(meet(Z,X),meet(X,Y)) ),
inference(resolve,[$cnf( $equal(meet(Y,X),meet(X,Y)) )],[refute_0_963,refute_0_964]) ).
cnf(refute_0_966,plain,
meet(X,join(Y,Z)) = join(meet(Z,X),meet(X,Y)),
inference(resolve,[$cnf( $equal(meet(X,join(Y,Z)),join(meet(Z,X),meet(Y,X))) )],[distribution,refute_0_965]) ).
cnf(refute_0_967,plain,
( meet(X,join(Y,Z)) != join(meet(Z,X),meet(X,Y))
| join(meet(Z,X),meet(X,Y)) = meet(X,join(Y,Z)) ),
inference(subst,[],[refute_0_24:[bind(X0,$fot(meet(X,join(Y,Z)))),bind(Y0,$fot(join(meet(Z,X),meet(X,Y))))]]) ).
cnf(refute_0_968,plain,
join(meet(Z,X),meet(X,Y)) = meet(X,join(Y,Z)),
inference(resolve,[$cnf( $equal(meet(X,join(Y,Z)),join(meet(Z,X),meet(X,Y))) )],[refute_0_966,refute_0_967]) ).
cnf(refute_0_969,plain,
join(meet(X_18,X_97),meet(X_97,join(X_18,X_96))) = meet(X_97,join(join(X_18,X_96),X_18)),
inference(subst,[],[refute_0_968:[bind(X,$fot(X_97)),bind(Y,$fot(join(X_18,X_96))),bind(Z,$fot(X_18))]]) ).
cnf(refute_0_970,plain,
( join(meet(X_18,X_97),meet(X_97,join(X_18,X_96))) != meet(X_97,join(join(X_18,X_96),X_18))
| meet(X_97,join(join(X_18,X_96),X_18)) != meet(X_97,join(X_18,join(X_18,X_96)))
| join(meet(X_18,X_97),meet(X_97,join(X_18,X_96))) = meet(X_97,join(X_18,join(X_18,X_96))) ),
inference(subst,[],[refute_0_84:[bind(X0,$fot(join(meet(X_18,X_97),meet(X_97,join(X_18,X_96))))),bind(Y0,$fot(meet(X_97,join(join(X_18,X_96),X_18)))),bind(Z0,$fot(meet(X_97,join(X_18,join(X_18,X_96)))))]]) ).
cnf(refute_0_971,plain,
( meet(X_97,join(join(X_18,X_96),X_18)) != meet(X_97,join(X_18,join(X_18,X_96)))
| join(meet(X_18,X_97),meet(X_97,join(X_18,X_96))) = meet(X_97,join(X_18,join(X_18,X_96))) ),
inference(resolve,[$cnf( $equal(join(meet(X_18,X_97),meet(X_97,join(X_18,X_96))),meet(X_97,join(join(X_18,X_96),X_18))) )],[refute_0_969,refute_0_970]) ).
cnf(refute_0_972,plain,
join(meet(X_18,X_97),meet(X_97,join(X_18,X_96))) = meet(X_97,join(X_18,join(X_18,X_96))),
inference(resolve,[$cnf( $equal(meet(X_97,join(join(X_18,X_96),X_18)),meet(X_97,join(X_18,join(X_18,X_96)))) )],[refute_0_962,refute_0_971]) ).
cnf(refute_0_973,plain,
( join(meet(X_18,X_97),meet(X_97,join(X_18,X_96))) != meet(X_97,join(X_18,join(X_18,X_96)))
| meet(X_97,join(X_18,join(X_18,X_96))) != meet(X_97,join(X_18,X_96))
| join(meet(X_18,X_97),meet(X_97,join(X_18,X_96))) = meet(X_97,join(X_18,X_96)) ),
inference(subst,[],[refute_0_84:[bind(X0,$fot(join(meet(X_18,X_97),meet(X_97,join(X_18,X_96))))),bind(Y0,$fot(meet(X_97,join(X_18,join(X_18,X_96))))),bind(Z0,$fot(meet(X_97,join(X_18,X_96))))]]) ).
cnf(refute_0_974,plain,
( meet(X_97,join(X_18,join(X_18,X_96))) != meet(X_97,join(X_18,X_96))
| join(meet(X_18,X_97),meet(X_97,join(X_18,X_96))) = meet(X_97,join(X_18,X_96)) ),
inference(resolve,[$cnf( $equal(join(meet(X_18,X_97),meet(X_97,join(X_18,X_96))),meet(X_97,join(X_18,join(X_18,X_96)))) )],[refute_0_972,refute_0_973]) ).
cnf(refute_0_975,plain,
join(meet(X_18,X_97),meet(X_97,join(X_18,X_96))) = meet(X_97,join(X_18,X_96)),
inference(resolve,[$cnf( $equal(meet(X_97,join(X_18,join(X_18,X_96))),meet(X_97,join(X_18,X_96))) )],[refute_0_959,refute_0_974]) ).
cnf(refute_0_976,plain,
join(X_97,join(meet(X_18,X_97),meet(X_97,join(X_18,X_96)))) = join(X_97,join(meet(X_18,X_97),meet(X_97,join(X_18,X_96)))),
introduced(tautology,[refl,[$fot(join(X_97,join(meet(X_18,X_97),meet(X_97,join(X_18,X_96)))))]]) ).
cnf(refute_0_977,plain,
( join(X_97,join(meet(X_18,X_97),meet(X_97,join(X_18,X_96)))) != join(X_97,join(meet(X_18,X_97),meet(X_97,join(X_18,X_96))))
| join(meet(X_18,X_97),meet(X_97,join(X_18,X_96))) != meet(X_97,join(X_18,X_96))
| join(X_97,join(meet(X_18,X_97),meet(X_97,join(X_18,X_96)))) = join(X_97,meet(X_97,join(X_18,X_96))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_97,join(meet(X_18,X_97),meet(X_97,join(X_18,X_96)))),join(X_97,join(meet(X_18,X_97),meet(X_97,join(X_18,X_96))))) ),[1,1],$fot(meet(X_97,join(X_18,X_96)))]]) ).
cnf(refute_0_978,plain,
( join(meet(X_18,X_97),meet(X_97,join(X_18,X_96))) != meet(X_97,join(X_18,X_96))
| join(X_97,join(meet(X_18,X_97),meet(X_97,join(X_18,X_96)))) = join(X_97,meet(X_97,join(X_18,X_96))) ),
inference(resolve,[$cnf( $equal(join(X_97,join(meet(X_18,X_97),meet(X_97,join(X_18,X_96)))),join(X_97,join(meet(X_18,X_97),meet(X_97,join(X_18,X_96))))) )],[refute_0_976,refute_0_977]) ).
cnf(refute_0_979,plain,
join(X_97,join(meet(X_18,X_97),meet(X_97,join(X_18,X_96)))) = join(X_97,meet(X_97,join(X_18,X_96))),
inference(resolve,[$cnf( $equal(join(meet(X_18,X_97),meet(X_97,join(X_18,X_96))),meet(X_97,join(X_18,X_96))) )],[refute_0_975,refute_0_978]) ).
cnf(refute_0_980,plain,
( X_97 != join(X_97,join(meet(X_18,X_97),meet(X_97,join(X_18,X_96))))
| join(X_97,join(meet(X_18,X_97),meet(X_97,join(X_18,X_96)))) != join(X_97,meet(X_97,join(X_18,X_96)))
| X_97 = join(X_97,meet(X_97,join(X_18,X_96))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_97,join(X_97,meet(X_97,join(X_18,X_96)))) ),[0],$fot(join(X_97,join(meet(X_18,X_97),meet(X_97,join(X_18,X_96)))))]]) ).
cnf(refute_0_981,plain,
( X_97 != join(X_97,join(meet(X_18,X_97),meet(X_97,join(X_18,X_96))))
| X_97 = join(X_97,meet(X_97,join(X_18,X_96))) ),
inference(resolve,[$cnf( $equal(join(X_97,join(meet(X_18,X_97),meet(X_97,join(X_18,X_96)))),join(X_97,meet(X_97,join(X_18,X_96)))) )],[refute_0_979,refute_0_980]) ).
cnf(refute_0_982,plain,
( join(meet(X_18,X_97),X_97) != join(X_97,join(meet(X_18,X_97),meet(X_97,join(X_18,X_96))))
| X_97 = join(X_97,meet(X_97,join(X_18,X_96))) ),
inference(resolve,[$cnf( $equal(X_97,join(X_97,join(meet(X_18,X_97),meet(X_97,join(X_18,X_96))))) )],[refute_0_954,refute_0_981]) ).
cnf(refute_0_983,plain,
X_97 = join(X_97,meet(X_97,join(X_18,X_96))),
inference(resolve,[$cnf( $equal(join(meet(X_18,X_97),X_97),join(X_97,join(meet(X_18,X_97),meet(X_97,join(X_18,X_96))))) )],[refute_0_947,refute_0_982]) ).
cnf(refute_0_984,plain,
X_97 = join(X_97,meet(X_97,join(X_18,meet(X_18,join(X_98,X_99))))),
inference(subst,[],[refute_0_983:[bind(X_96,$fot(meet(X_18,join(X_98,X_99))))]]) ).
cnf(refute_0_985,plain,
X_18 = join(X_18,meet(X_18,join(X_98,X_99))),
inference(subst,[],[refute_0_983:[bind(X_18,$fot(X_98)),bind(X_96,$fot(X_99)),bind(X_97,$fot(X_18))]]) ).
cnf(refute_0_986,plain,
( X_18 != join(X_18,meet(X_18,join(X_98,X_99)))
| join(X_18,meet(X_18,join(X_98,X_99))) = X_18 ),
inference(subst,[],[refute_0_24:[bind(X0,$fot(X_18)),bind(Y0,$fot(join(X_18,meet(X_18,join(X_98,X_99)))))]]) ).
cnf(refute_0_987,plain,
join(X_18,meet(X_18,join(X_98,X_99))) = X_18,
inference(resolve,[$cnf( $equal(X_18,join(X_18,meet(X_18,join(X_98,X_99)))) )],[refute_0_985,refute_0_986]) ).
cnf(refute_0_988,plain,
( X_97 != join(X_97,meet(X_97,join(X_18,meet(X_18,join(X_98,X_99)))))
| join(X_18,meet(X_18,join(X_98,X_99))) != X_18
| X_97 = join(X_97,meet(X_97,X_18)) ),
introduced(tautology,[equality,[$cnf( $equal(X_97,join(X_97,meet(X_97,join(X_18,meet(X_18,join(X_98,X_99)))))) ),[1,1,1],$fot(X_18)]]) ).
cnf(refute_0_989,plain,
( X_97 != join(X_97,meet(X_97,join(X_18,meet(X_18,join(X_98,X_99)))))
| X_97 = join(X_97,meet(X_97,X_18)) ),
inference(resolve,[$cnf( $equal(join(X_18,meet(X_18,join(X_98,X_99))),X_18) )],[refute_0_987,refute_0_988]) ).
cnf(refute_0_990,plain,
X_97 = join(X_97,meet(X_97,X_18)),
inference(resolve,[$cnf( $equal(X_97,join(X_97,meet(X_97,join(X_18,meet(X_18,join(X_98,X_99)))))) )],[refute_0_984,refute_0_989]) ).
cnf(refute_0_991,plain,
( X_97 != join(X_97,meet(X_97,X_18))
| join(X_97,meet(X_97,X_18)) = X_97 ),
inference(subst,[],[refute_0_24:[bind(X0,$fot(X_97)),bind(Y0,$fot(join(X_97,meet(X_97,X_18))))]]) ).
cnf(refute_0_992,plain,
join(X_97,meet(X_97,X_18)) = X_97,
inference(resolve,[$cnf( $equal(X_97,join(X_97,meet(X_97,X_18))) )],[refute_0_990,refute_0_991]) ).
cnf(refute_0_993,plain,
join(a,meet(a,b)) = a,
inference(subst,[],[refute_0_992:[bind(X_18,$fot(b)),bind(X_97,$fot(a))]]) ).
cnf(refute_0_994,plain,
( a != a
| join(a,meet(a,b)) != a
| join(a,meet(a,b)) = a ),
introduced(tautology,[equality,[$cnf( $equal(join(a,meet(a,b)),a) ),[0,0],$fot(a)]]) ).
cnf(refute_0_995,plain,
( a != a
| join(a,meet(a,b)) = a ),
inference(resolve,[$cnf( $equal(join(a,meet(a,b)),a) )],[refute_0_993,refute_0_994]) ).
cnf(refute_0_996,plain,
a != a,
inference(resolve,[$cnf( $equal(join(a,meet(a,b)),a) )],[refute_0_995,prove_absorbtion_dual]) ).
cnf(refute_0_997,plain,
a = a,
introduced(tautology,[refl,[$fot(a)]]) ).
cnf(refute_0_998,plain,
$false,
inference(resolve,[$cnf( $equal(a,a) )],[refute_0_997,refute_0_996]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : LAT008-1 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.14 % Command : metis --show proof --show saturation %s
% 0.14/0.35 % Computer : n020.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Thu Jun 30 06:24:00 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.36 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 1.80/2.00 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.80/2.00
% 1.80/2.00 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 1.97/2.17
%------------------------------------------------------------------------------