TSTP Solution File: REL004+2 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : REL004+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n011.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 : Mon Jul 18 19:43:02 EDT 2022
% Result : Theorem 3.62s 3.85s
% Output : CNFRefutation 3.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 114
% Number of leaves : 215
% Syntax : Number of formulae : 919 ( 485 unt; 0 def)
% Number of atoms : 1543 (1542 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 1253 ( 629 ~; 624 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 9 ( 3 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 1080 ( 22 sgn 60 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(maddux1_join_commutativity,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0) ).
fof(maddux2_join_associativity,axiom,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2) ).
fof(maddux3_a_kind_of_de_Morgan,axiom,
! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) ).
fof(maddux4_definiton_of_meet,axiom,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))) ).
fof(composition_identity,axiom,
! [X0] : composition(X0,one) = X0 ).
fof(converse_idempotence,axiom,
! [X0] : converse(converse(X0)) = X0 ).
fof(converse_additivity,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)) ).
fof(converse_multiplicativity,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)) ).
fof(converse_cancellativity,axiom,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1) ).
fof(def_top,axiom,
! [X0] : top = join(X0,complement(X0)) ).
fof(def_zero,axiom,
! [X0] : zero = meet(X0,complement(X0)) ).
fof(goals,conjecture,
! [X0] : converse(complement(X0)) = complement(converse(X0)) ).
fof(subgoal_0,plain,
! [X0] : converse(complement(X0)) = complement(converse(X0)),
inference(strip,[],[goals]) ).
fof(negate_0_0,plain,
~ ! [X0] : converse(complement(X0)) = complement(converse(X0)),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [X0] : converse(complement(X0)) != complement(converse(X0)),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
converse(complement(skolemFOFtoCNF_X0)) != complement(converse(skolemFOFtoCNF_X0)),
inference(skolemize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
inference(canonicalize,[],[maddux3_a_kind_of_de_Morgan]) ).
fof(normalize_0_3,plain,
! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
inference(specialize,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(canonicalize,[],[maddux1_join_commutativity]) ).
fof(normalize_0_5,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(specialize,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
inference(canonicalize,[],[maddux4_definiton_of_meet]) ).
fof(normalize_0_7,plain,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
inference(specialize,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(canonicalize,[],[converse_additivity]) ).
fof(normalize_0_9,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(specialize,[],[normalize_0_8]) ).
fof(normalize_0_10,plain,
! [X0] : converse(converse(X0)) = X0,
inference(canonicalize,[],[converse_idempotence]) ).
fof(normalize_0_11,plain,
! [X0] : converse(converse(X0)) = X0,
inference(specialize,[],[normalize_0_10]) ).
fof(normalize_0_12,plain,
! [X0] : top = join(X0,complement(X0)),
inference(canonicalize,[],[def_top]) ).
fof(normalize_0_13,plain,
! [X0] : top = join(X0,complement(X0)),
inference(specialize,[],[normalize_0_12]) ).
fof(normalize_0_14,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(canonicalize,[],[def_zero]) ).
fof(normalize_0_15,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(specialize,[],[normalize_0_14]) ).
fof(normalize_0_16,plain,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
inference(canonicalize,[],[converse_cancellativity]) ).
fof(normalize_0_17,plain,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
inference(specialize,[],[normalize_0_16]) ).
fof(normalize_0_18,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(canonicalize,[],[converse_multiplicativity]) ).
fof(normalize_0_19,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(specialize,[],[normalize_0_18]) ).
fof(normalize_0_20,plain,
! [X0] : composition(X0,one) = X0,
inference(canonicalize,[],[composition_identity]) ).
fof(normalize_0_21,plain,
! [X0] : composition(X0,one) = X0,
inference(specialize,[],[normalize_0_20]) ).
fof(normalize_0_22,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(canonicalize,[],[maddux2_join_associativity]) ).
fof(normalize_0_23,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(specialize,[],[normalize_0_22]) ).
cnf(refute_0_0,plain,
converse(complement(skolemFOFtoCNF_X0)) != complement(converse(skolemFOFtoCNF_X0)),
inference(canonicalize,[],[normalize_0_1]) ).
cnf(refute_0_1,plain,
X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_2,plain,
join(X0,X1) = join(X1,X0),
inference(canonicalize,[],[normalize_0_5]) ).
cnf(refute_0_3,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_4,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_5,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_3,refute_0_4]) ).
cnf(refute_0_6,plain,
( join(X0,X1) != join(X1,X0)
| join(X1,X0) = join(X0,X1) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(join(X0,X1))),bind(Y,$fot(join(X1,X0)))]]) ).
cnf(refute_0_7,plain,
join(X1,X0) = join(X0,X1),
inference(resolve,[$cnf( $equal(join(X0,X1),join(X1,X0)) )],[refute_0_2,refute_0_6]) ).
cnf(refute_0_8,plain,
join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),
inference(subst,[],[refute_0_7:[bind(X0,$fot(complement(join(complement(X0),X1)))),bind(X1,$fot(complement(join(complement(X0),complement(X1)))))]]) ).
cnf(refute_0_9,plain,
( X0 != join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1)))
| join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) != join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1))))
| X0 = join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X0,join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1))))) ),[0],$fot(join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))))]]) ).
cnf(refute_0_10,plain,
( X0 != join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1)))
| X0 = join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) ),
inference(resolve,[$cnf( $equal(join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1))))) )],[refute_0_8,refute_0_9]) ).
cnf(refute_0_11,plain,
X0 = join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),
inference(resolve,[$cnf( $equal(X0,join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1)))) )],[refute_0_1,refute_0_10]) ).
cnf(refute_0_12,plain,
join(complement(join(complement(X0),X1)),meet(X0,X1)) = join(meet(X0,X1),complement(join(complement(X0),X1))),
inference(subst,[],[refute_0_7:[bind(X0,$fot(meet(X0,X1))),bind(X1,$fot(complement(join(complement(X0),X1))))]]) ).
cnf(refute_0_13,plain,
meet(X0,X1) = complement(join(complement(X0),complement(X1))),
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_14,plain,
( meet(X0,X1) != complement(join(complement(X0),complement(X1)))
| complement(join(complement(X0),complement(X1))) = meet(X0,X1) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(meet(X0,X1))),bind(Y,$fot(complement(join(complement(X0),complement(X1)))))]]) ).
cnf(refute_0_15,plain,
complement(join(complement(X0),complement(X1))) = meet(X0,X1),
inference(resolve,[$cnf( $equal(meet(X0,X1),complement(join(complement(X0),complement(X1)))) )],[refute_0_13,refute_0_14]) ).
cnf(refute_0_16,plain,
join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),
introduced(tautology,[refl,[$fot(join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))))]]) ).
cnf(refute_0_17,plain,
( complement(join(complement(X0),complement(X1))) != meet(X0,X1)
| join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) != join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1))))
| join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = join(complement(join(complement(X0),X1)),meet(X0,X1)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1))))) ),[1,1],$fot(meet(X0,X1))]]) ).
cnf(refute_0_18,plain,
( complement(join(complement(X0),complement(X1))) != meet(X0,X1)
| join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = join(complement(join(complement(X0),X1)),meet(X0,X1)) ),
inference(resolve,[$cnf( $equal(join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1))))) )],[refute_0_16,refute_0_17]) ).
cnf(refute_0_19,plain,
join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = join(complement(join(complement(X0),X1)),meet(X0,X1)),
inference(resolve,[$cnf( $equal(complement(join(complement(X0),complement(X1))),meet(X0,X1)) )],[refute_0_15,refute_0_18]) ).
cnf(refute_0_20,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_21,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_5,refute_0_20]) ).
cnf(refute_0_22,plain,
( join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) != join(complement(join(complement(X0),X1)),meet(X0,X1))
| join(complement(join(complement(X0),X1)),meet(X0,X1)) != join(meet(X0,X1),complement(join(complement(X0),X1)))
| join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = join(meet(X0,X1),complement(join(complement(X0),X1))) ),
inference(subst,[],[refute_0_21:[bind(X,$fot(join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))))),bind(Y,$fot(join(complement(join(complement(X0),X1)),meet(X0,X1)))),bind(Z,$fot(join(meet(X0,X1),complement(join(complement(X0),X1)))))]]) ).
cnf(refute_0_23,plain,
( join(complement(join(complement(X0),X1)),meet(X0,X1)) != join(meet(X0,X1),complement(join(complement(X0),X1)))
| join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = join(meet(X0,X1),complement(join(complement(X0),X1))) ),
inference(resolve,[$cnf( $equal(join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),join(complement(join(complement(X0),X1)),meet(X0,X1))) )],[refute_0_19,refute_0_22]) ).
cnf(refute_0_24,plain,
join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = join(meet(X0,X1),complement(join(complement(X0),X1))),
inference(resolve,[$cnf( $equal(join(complement(join(complement(X0),X1)),meet(X0,X1)),join(meet(X0,X1),complement(join(complement(X0),X1)))) )],[refute_0_12,refute_0_23]) ).
cnf(refute_0_25,plain,
( X0 != join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1))))
| join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) != join(meet(X0,X1),complement(join(complement(X0),X1)))
| X0 = join(meet(X0,X1),complement(join(complement(X0),X1))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X0,join(meet(X0,X1),complement(join(complement(X0),X1)))) ),[0],$fot(join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))))]]) ).
cnf(refute_0_26,plain,
( X0 != join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1))))
| X0 = join(meet(X0,X1),complement(join(complement(X0),X1))) ),
inference(resolve,[$cnf( $equal(join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),join(meet(X0,X1),complement(join(complement(X0),X1)))) )],[refute_0_24,refute_0_25]) ).
cnf(refute_0_27,plain,
X0 = join(meet(X0,X1),complement(join(complement(X0),X1))),
inference(resolve,[$cnf( $equal(X0,join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1))))) )],[refute_0_11,refute_0_26]) ).
cnf(refute_0_28,plain,
X_43 = join(meet(X_43,complement(X1)),complement(join(complement(X_43),complement(X1)))),
inference(subst,[],[refute_0_27:[bind(X0,$fot(X_43)),bind(X1,$fot(complement(X1)))]]) ).
cnf(refute_0_29,plain,
meet(X_43,X1) = complement(join(complement(X_43),complement(X1))),
inference(subst,[],[refute_0_13:[bind(X0,$fot(X_43))]]) ).
cnf(refute_0_30,plain,
( meet(X_43,X1) != complement(join(complement(X_43),complement(X1)))
| complement(join(complement(X_43),complement(X1))) = meet(X_43,X1) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(meet(X_43,X1))),bind(Y,$fot(complement(join(complement(X_43),complement(X1)))))]]) ).
cnf(refute_0_31,plain,
complement(join(complement(X_43),complement(X1))) = meet(X_43,X1),
inference(resolve,[$cnf( $equal(meet(X_43,X1),complement(join(complement(X_43),complement(X1)))) )],[refute_0_29,refute_0_30]) ).
cnf(refute_0_32,plain,
( X_43 != join(meet(X_43,complement(X1)),complement(join(complement(X_43),complement(X1))))
| complement(join(complement(X_43),complement(X1))) != meet(X_43,X1)
| X_43 = join(meet(X_43,complement(X1)),meet(X_43,X1)) ),
introduced(tautology,[equality,[$cnf( $equal(X_43,join(meet(X_43,complement(X1)),complement(join(complement(X_43),complement(X1))))) ),[1,1],$fot(meet(X_43,X1))]]) ).
cnf(refute_0_33,plain,
( X_43 != join(meet(X_43,complement(X1)),complement(join(complement(X_43),complement(X1))))
| X_43 = join(meet(X_43,complement(X1)),meet(X_43,X1)) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_43),complement(X1))),meet(X_43,X1)) )],[refute_0_31,refute_0_32]) ).
cnf(refute_0_34,plain,
X_43 = join(meet(X_43,complement(X1)),meet(X_43,X1)),
inference(resolve,[$cnf( $equal(X_43,join(meet(X_43,complement(X1)),complement(join(complement(X_43),complement(X1))))) )],[refute_0_28,refute_0_33]) ).
cnf(refute_0_35,plain,
join(meet(X_43,complement(X1)),meet(X_43,X1)) = join(meet(X_43,X1),meet(X_43,complement(X1))),
inference(subst,[],[refute_0_7:[bind(X0,$fot(meet(X_43,X1))),bind(X1,$fot(meet(X_43,complement(X1))))]]) ).
cnf(refute_0_36,plain,
( X_43 != join(meet(X_43,complement(X1)),meet(X_43,X1))
| join(meet(X_43,complement(X1)),meet(X_43,X1)) != join(meet(X_43,X1),meet(X_43,complement(X1)))
| X_43 = join(meet(X_43,X1),meet(X_43,complement(X1))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_43,join(meet(X_43,X1),meet(X_43,complement(X1)))) ),[0],$fot(join(meet(X_43,complement(X1)),meet(X_43,X1)))]]) ).
cnf(refute_0_37,plain,
( X_43 != join(meet(X_43,complement(X1)),meet(X_43,X1))
| X_43 = join(meet(X_43,X1),meet(X_43,complement(X1))) ),
inference(resolve,[$cnf( $equal(join(meet(X_43,complement(X1)),meet(X_43,X1)),join(meet(X_43,X1),meet(X_43,complement(X1)))) )],[refute_0_35,refute_0_36]) ).
cnf(refute_0_38,plain,
X_43 = join(meet(X_43,X1),meet(X_43,complement(X1))),
inference(resolve,[$cnf( $equal(X_43,join(meet(X_43,complement(X1)),meet(X_43,X1))) )],[refute_0_34,refute_0_37]) ).
cnf(refute_0_39,plain,
X_60 = join(meet(X_60,X_59),meet(X_60,complement(X_59))),
inference(subst,[],[refute_0_38:[bind(X1,$fot(X_59)),bind(X_43,$fot(X_60))]]) ).
cnf(refute_0_40,plain,
meet(X_6,X_7) = complement(join(complement(X_6),complement(X_7))),
inference(subst,[],[refute_0_13:[bind(X0,$fot(X_6)),bind(X1,$fot(X_7))]]) ).
cnf(refute_0_41,plain,
join(complement(X_7),complement(X_6)) = join(complement(X_6),complement(X_7)),
inference(subst,[],[refute_0_2:[bind(X0,$fot(complement(X_7))),bind(X1,$fot(complement(X_6)))]]) ).
cnf(refute_0_42,plain,
( join(complement(X_7),complement(X_6)) != join(complement(X_6),complement(X_7))
| join(complement(X_6),complement(X_7)) = join(complement(X_7),complement(X_6)) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(join(complement(X_7),complement(X_6)))),bind(Y,$fot(join(complement(X_6),complement(X_7))))]]) ).
cnf(refute_0_43,plain,
join(complement(X_6),complement(X_7)) = join(complement(X_7),complement(X_6)),
inference(resolve,[$cnf( $equal(join(complement(X_7),complement(X_6)),join(complement(X_6),complement(X_7))) )],[refute_0_41,refute_0_42]) ).
cnf(refute_0_44,plain,
( join(complement(X_6),complement(X_7)) != join(complement(X_7),complement(X_6))
| meet(X_6,X_7) != complement(join(complement(X_6),complement(X_7)))
| meet(X_6,X_7) = complement(join(complement(X_7),complement(X_6))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_6,X_7),complement(join(complement(X_6),complement(X_7)))) ),[1,0],$fot(join(complement(X_7),complement(X_6)))]]) ).
cnf(refute_0_45,plain,
( meet(X_6,X_7) != complement(join(complement(X_6),complement(X_7)))
| meet(X_6,X_7) = complement(join(complement(X_7),complement(X_6))) ),
inference(resolve,[$cnf( $equal(join(complement(X_6),complement(X_7)),join(complement(X_7),complement(X_6))) )],[refute_0_43,refute_0_44]) ).
cnf(refute_0_46,plain,
meet(X_6,X_7) = complement(join(complement(X_7),complement(X_6))),
inference(resolve,[$cnf( $equal(meet(X_6,X_7),complement(join(complement(X_6),complement(X_7)))) )],[refute_0_40,refute_0_45]) ).
cnf(refute_0_47,plain,
complement(join(complement(X_7),complement(X_6))) = meet(X_7,X_6),
inference(subst,[],[refute_0_15:[bind(X0,$fot(X_7)),bind(X1,$fot(X_6))]]) ).
cnf(refute_0_48,plain,
( complement(join(complement(X_7),complement(X_6))) != meet(X_7,X_6)
| meet(X_6,X_7) != complement(join(complement(X_7),complement(X_6)))
| meet(X_6,X_7) = meet(X_7,X_6) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_6,X_7),complement(join(complement(X_7),complement(X_6)))) ),[1],$fot(meet(X_7,X_6))]]) ).
cnf(refute_0_49,plain,
( meet(X_6,X_7) != complement(join(complement(X_7),complement(X_6)))
| meet(X_6,X_7) = meet(X_7,X_6) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_7),complement(X_6))),meet(X_7,X_6)) )],[refute_0_47,refute_0_48]) ).
cnf(refute_0_50,plain,
meet(X_6,X_7) = meet(X_7,X_6),
inference(resolve,[$cnf( $equal(meet(X_6,X_7),complement(join(complement(X_7),complement(X_6)))) )],[refute_0_46,refute_0_49]) ).
cnf(refute_0_51,plain,
meet(complement(X_59),X_60) = meet(X_60,complement(X_59)),
inference(subst,[],[refute_0_50:[bind(X_6,$fot(complement(X_59))),bind(X_7,$fot(X_60))]]) ).
cnf(refute_0_52,plain,
( meet(complement(X_59),X_60) != meet(X_60,complement(X_59))
| meet(X_60,complement(X_59)) = meet(complement(X_59),X_60) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(meet(complement(X_59),X_60))),bind(Y,$fot(meet(X_60,complement(X_59))))]]) ).
cnf(refute_0_53,plain,
meet(X_60,complement(X_59)) = meet(complement(X_59),X_60),
inference(resolve,[$cnf( $equal(meet(complement(X_59),X_60),meet(X_60,complement(X_59))) )],[refute_0_51,refute_0_52]) ).
cnf(refute_0_54,plain,
( X_60 != join(meet(X_60,X_59),meet(X_60,complement(X_59)))
| meet(X_60,complement(X_59)) != meet(complement(X_59),X_60)
| X_60 = join(meet(X_60,X_59),meet(complement(X_59),X_60)) ),
introduced(tautology,[equality,[$cnf( $equal(X_60,join(meet(X_60,X_59),meet(X_60,complement(X_59)))) ),[1,1],$fot(meet(complement(X_59),X_60))]]) ).
cnf(refute_0_55,plain,
( X_60 != join(meet(X_60,X_59),meet(X_60,complement(X_59)))
| X_60 = join(meet(X_60,X_59),meet(complement(X_59),X_60)) ),
inference(resolve,[$cnf( $equal(meet(X_60,complement(X_59)),meet(complement(X_59),X_60)) )],[refute_0_53,refute_0_54]) ).
cnf(refute_0_56,plain,
X_60 = join(meet(X_60,X_59),meet(complement(X_59),X_60)),
inference(resolve,[$cnf( $equal(X_60,join(meet(X_60,X_59),meet(X_60,complement(X_59)))) )],[refute_0_39,refute_0_55]) ).
cnf(refute_0_57,plain,
converse(complement(X_277)) = join(meet(converse(complement(X_277)),converse(X_277)),meet(complement(converse(X_277)),converse(complement(X_277)))),
inference(subst,[],[refute_0_56:[bind(X_59,$fot(converse(X_277))),bind(X_60,$fot(converse(complement(X_277))))]]) ).
cnf(refute_0_58,plain,
X_43 = join(meet(X_43,converse(complement(converse(complement(X_43))))),complement(join(complement(X_43),converse(complement(converse(complement(X_43))))))),
inference(subst,[],[refute_0_27:[bind(X0,$fot(X_43)),bind(X1,$fot(converse(complement(converse(complement(X_43))))))]]) ).
cnf(refute_0_59,plain,
converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_60,plain,
converse(join(converse(X0),X_9)) = join(converse(converse(X0)),converse(X_9)),
inference(subst,[],[refute_0_59:[bind(X0,$fot(converse(X0))),bind(X1,$fot(X_9))]]) ).
cnf(refute_0_61,plain,
converse(converse(X0)) = X0,
inference(canonicalize,[],[normalize_0_11]) ).
cnf(refute_0_62,plain,
( converse(converse(X0)) != X0
| converse(join(converse(X0),X_9)) != join(converse(converse(X0)),converse(X_9))
| converse(join(converse(X0),X_9)) = join(X0,converse(X_9)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X0),X_9)),join(converse(converse(X0)),converse(X_9))) ),[1,0],$fot(X0)]]) ).
cnf(refute_0_63,plain,
( converse(join(converse(X0),X_9)) != join(converse(converse(X0)),converse(X_9))
| converse(join(converse(X0),X_9)) = join(X0,converse(X_9)) ),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_0_61,refute_0_62]) ).
cnf(refute_0_64,plain,
converse(join(converse(X0),X_9)) = join(X0,converse(X_9)),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),X_9)),join(converse(converse(X0)),converse(X_9))) )],[refute_0_60,refute_0_63]) ).
cnf(refute_0_65,plain,
converse(join(converse(X_40),complement(converse(X_40)))) = join(X_40,converse(complement(converse(X_40)))),
inference(subst,[],[refute_0_64:[bind(X0,$fot(X_40)),bind(X_9,$fot(complement(converse(X_40))))]]) ).
cnf(refute_0_66,plain,
top = join(X0,complement(X0)),
inference(canonicalize,[],[normalize_0_13]) ).
cnf(refute_0_67,plain,
top = join(converse(X_40),complement(converse(X_40))),
inference(subst,[],[refute_0_66:[bind(X0,$fot(converse(X_40)))]]) ).
cnf(refute_0_68,plain,
( top != join(converse(X_40),complement(converse(X_40)))
| join(converse(X_40),complement(converse(X_40))) = top ),
inference(subst,[],[refute_0_5:[bind(X,$fot(top)),bind(Y,$fot(join(converse(X_40),complement(converse(X_40)))))]]) ).
cnf(refute_0_69,plain,
join(converse(X_40),complement(converse(X_40))) = top,
inference(resolve,[$cnf( $equal(top,join(converse(X_40),complement(converse(X_40)))) )],[refute_0_67,refute_0_68]) ).
cnf(refute_0_70,plain,
( converse(join(converse(X_40),complement(converse(X_40)))) != join(X_40,converse(complement(converse(X_40))))
| join(converse(X_40),complement(converse(X_40))) != top
| converse(top) = join(X_40,converse(complement(converse(X_40)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X_40),complement(converse(X_40)))),join(X_40,converse(complement(converse(X_40))))) ),[0,0],$fot(top)]]) ).
cnf(refute_0_71,plain,
( converse(join(converse(X_40),complement(converse(X_40)))) != join(X_40,converse(complement(converse(X_40))))
| converse(top) = join(X_40,converse(complement(converse(X_40)))) ),
inference(resolve,[$cnf( $equal(join(converse(X_40),complement(converse(X_40))),top) )],[refute_0_69,refute_0_70]) ).
cnf(refute_0_72,plain,
converse(top) = join(X_40,converse(complement(converse(X_40)))),
inference(resolve,[$cnf( $equal(converse(join(converse(X_40),complement(converse(X_40)))),join(X_40,converse(complement(converse(X_40))))) )],[refute_0_65,refute_0_71]) ).
cnf(refute_0_73,plain,
converse(top) = join(complement(X_43),converse(complement(converse(complement(X_43))))),
inference(subst,[],[refute_0_72:[bind(X_40,$fot(complement(X_43)))]]) ).
cnf(refute_0_74,plain,
( converse(top) != join(complement(X_43),converse(complement(converse(complement(X_43)))))
| join(complement(X_43),converse(complement(converse(complement(X_43))))) = converse(top) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(converse(top))),bind(Y,$fot(join(complement(X_43),converse(complement(converse(complement(X_43)))))))]]) ).
cnf(refute_0_75,plain,
join(complement(X_43),converse(complement(converse(complement(X_43))))) = converse(top),
inference(resolve,[$cnf( $equal(converse(top),join(complement(X_43),converse(complement(converse(complement(X_43)))))) )],[refute_0_73,refute_0_74]) ).
cnf(refute_0_76,plain,
( X_43 != join(meet(X_43,converse(complement(converse(complement(X_43))))),complement(join(complement(X_43),converse(complement(converse(complement(X_43)))))))
| join(complement(X_43),converse(complement(converse(complement(X_43))))) != converse(top)
| X_43 = join(meet(X_43,converse(complement(converse(complement(X_43))))),complement(converse(top))) ),
introduced(tautology,[equality,[$cnf( $equal(X_43,join(meet(X_43,converse(complement(converse(complement(X_43))))),complement(join(complement(X_43),converse(complement(converse(complement(X_43)))))))) ),[1,1,0],$fot(converse(top))]]) ).
cnf(refute_0_77,plain,
( X_43 != join(meet(X_43,converse(complement(converse(complement(X_43))))),complement(join(complement(X_43),converse(complement(converse(complement(X_43)))))))
| X_43 = join(meet(X_43,converse(complement(converse(complement(X_43))))),complement(converse(top))) ),
inference(resolve,[$cnf( $equal(join(complement(X_43),converse(complement(converse(complement(X_43))))),converse(top)) )],[refute_0_75,refute_0_76]) ).
cnf(refute_0_78,plain,
X_43 = join(meet(X_43,converse(complement(converse(complement(X_43))))),complement(converse(top))),
inference(resolve,[$cnf( $equal(X_43,join(meet(X_43,converse(complement(converse(complement(X_43))))),complement(join(complement(X_43),converse(complement(converse(complement(X_43)))))))) )],[refute_0_58,refute_0_77]) ).
cnf(refute_0_79,plain,
join(meet(X_43,converse(complement(converse(complement(X_43))))),complement(converse(top))) = join(complement(converse(top)),meet(X_43,converse(complement(converse(complement(X_43)))))),
inference(subst,[],[refute_0_7:[bind(X0,$fot(complement(converse(top)))),bind(X1,$fot(meet(X_43,converse(complement(converse(complement(X_43)))))))]]) ).
cnf(refute_0_80,plain,
( X_43 != join(meet(X_43,converse(complement(converse(complement(X_43))))),complement(converse(top)))
| join(meet(X_43,converse(complement(converse(complement(X_43))))),complement(converse(top))) != join(complement(converse(top)),meet(X_43,converse(complement(converse(complement(X_43))))))
| X_43 = join(complement(converse(top)),meet(X_43,converse(complement(converse(complement(X_43)))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_43,join(complement(converse(top)),meet(X_43,converse(complement(converse(complement(X_43))))))) ),[0],$fot(join(meet(X_43,converse(complement(converse(complement(X_43))))),complement(converse(top))))]]) ).
cnf(refute_0_81,plain,
( X_43 != join(meet(X_43,converse(complement(converse(complement(X_43))))),complement(converse(top)))
| X_43 = join(complement(converse(top)),meet(X_43,converse(complement(converse(complement(X_43)))))) ),
inference(resolve,[$cnf( $equal(join(meet(X_43,converse(complement(converse(complement(X_43))))),complement(converse(top))),join(complement(converse(top)),meet(X_43,converse(complement(converse(complement(X_43))))))) )],[refute_0_79,refute_0_80]) ).
cnf(refute_0_82,plain,
X_43 = join(complement(converse(top)),meet(X_43,converse(complement(converse(complement(X_43)))))),
inference(resolve,[$cnf( $equal(X_43,join(meet(X_43,converse(complement(converse(complement(X_43))))),complement(converse(top)))) )],[refute_0_78,refute_0_81]) ).
cnf(refute_0_83,plain,
X_43 = join(meet(X_43,complement(complement(X_43))),complement(join(complement(X_43),complement(complement(X_43))))),
inference(subst,[],[refute_0_27:[bind(X0,$fot(X_43)),bind(X1,$fot(complement(complement(X_43))))]]) ).
cnf(refute_0_84,plain,
top = join(complement(X_43),complement(complement(X_43))),
inference(subst,[],[refute_0_66:[bind(X0,$fot(complement(X_43)))]]) ).
cnf(refute_0_85,plain,
( top != join(complement(X_43),complement(complement(X_43)))
| join(complement(X_43),complement(complement(X_43))) = top ),
inference(subst,[],[refute_0_5:[bind(X,$fot(top)),bind(Y,$fot(join(complement(X_43),complement(complement(X_43)))))]]) ).
cnf(refute_0_86,plain,
join(complement(X_43),complement(complement(X_43))) = top,
inference(resolve,[$cnf( $equal(top,join(complement(X_43),complement(complement(X_43)))) )],[refute_0_84,refute_0_85]) ).
cnf(refute_0_87,plain,
( X_43 != join(meet(X_43,complement(complement(X_43))),complement(join(complement(X_43),complement(complement(X_43)))))
| join(complement(X_43),complement(complement(X_43))) != top
| X_43 = join(meet(X_43,complement(complement(X_43))),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(X_43,join(meet(X_43,complement(complement(X_43))),complement(join(complement(X_43),complement(complement(X_43)))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_0_88,plain,
( X_43 != join(meet(X_43,complement(complement(X_43))),complement(join(complement(X_43),complement(complement(X_43)))))
| X_43 = join(meet(X_43,complement(complement(X_43))),complement(top)) ),
inference(resolve,[$cnf( $equal(join(complement(X_43),complement(complement(X_43))),top) )],[refute_0_86,refute_0_87]) ).
cnf(refute_0_89,plain,
X_43 = join(meet(X_43,complement(complement(X_43))),complement(top)),
inference(resolve,[$cnf( $equal(X_43,join(meet(X_43,complement(complement(X_43))),complement(join(complement(X_43),complement(complement(X_43)))))) )],[refute_0_83,refute_0_88]) ).
cnf(refute_0_90,plain,
zero = meet(X0,complement(X0)),
inference(canonicalize,[],[normalize_0_15]) ).
cnf(refute_0_91,plain,
zero = meet(join(complement(X_6),complement(X_7)),complement(join(complement(X_6),complement(X_7)))),
inference(subst,[],[refute_0_90:[bind(X0,$fot(join(complement(X_6),complement(X_7))))]]) ).
cnf(refute_0_92,plain,
( meet(X_6,X_7) != complement(join(complement(X_6),complement(X_7)))
| complement(join(complement(X_6),complement(X_7))) = meet(X_6,X_7) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(meet(X_6,X_7))),bind(Y,$fot(complement(join(complement(X_6),complement(X_7)))))]]) ).
cnf(refute_0_93,plain,
complement(join(complement(X_6),complement(X_7))) = meet(X_6,X_7),
inference(resolve,[$cnf( $equal(meet(X_6,X_7),complement(join(complement(X_6),complement(X_7)))) )],[refute_0_40,refute_0_92]) ).
cnf(refute_0_94,plain,
( complement(join(complement(X_6),complement(X_7))) != meet(X_6,X_7)
| zero != meet(join(complement(X_6),complement(X_7)),complement(join(complement(X_6),complement(X_7))))
| zero = meet(join(complement(X_6),complement(X_7)),meet(X_6,X_7)) ),
introduced(tautology,[equality,[$cnf( $equal(zero,meet(join(complement(X_6),complement(X_7)),complement(join(complement(X_6),complement(X_7))))) ),[1,1],$fot(meet(X_6,X_7))]]) ).
cnf(refute_0_95,plain,
( zero != meet(join(complement(X_6),complement(X_7)),complement(join(complement(X_6),complement(X_7))))
| zero = meet(join(complement(X_6),complement(X_7)),meet(X_6,X_7)) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_6),complement(X_7))),meet(X_6,X_7)) )],[refute_0_93,refute_0_94]) ).
cnf(refute_0_96,plain,
zero = meet(join(complement(X_6),complement(X_7)),meet(X_6,X_7)),
inference(resolve,[$cnf( $equal(zero,meet(join(complement(X_6),complement(X_7)),complement(join(complement(X_6),complement(X_7))))) )],[refute_0_91,refute_0_95]) ).
cnf(refute_0_97,plain,
( top != join(X0,complement(X0))
| join(X0,complement(X0)) = top ),
inference(subst,[],[refute_0_5:[bind(X,$fot(top)),bind(Y,$fot(join(X0,complement(X0))))]]) ).
cnf(refute_0_98,plain,
join(X0,complement(X0)) = top,
inference(resolve,[$cnf( $equal(top,join(X0,complement(X0))) )],[refute_0_66,refute_0_97]) ).
cnf(refute_0_99,plain,
join(meet(X_6,X_7),complement(meet(X_6,X_7))) = top,
inference(subst,[],[refute_0_98:[bind(X0,$fot(meet(X_6,X_7)))]]) ).
cnf(refute_0_100,plain,
complement(join(meet(X_6,X_7),complement(meet(X_6,X_7)))) = complement(join(meet(X_6,X_7),complement(meet(X_6,X_7)))),
introduced(tautology,[refl,[$fot(complement(join(meet(X_6,X_7),complement(meet(X_6,X_7)))))]]) ).
cnf(refute_0_101,plain,
( complement(join(meet(X_6,X_7),complement(meet(X_6,X_7)))) != complement(join(meet(X_6,X_7),complement(meet(X_6,X_7))))
| join(meet(X_6,X_7),complement(meet(X_6,X_7))) != top
| complement(join(meet(X_6,X_7),complement(meet(X_6,X_7)))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(meet(X_6,X_7),complement(meet(X_6,X_7)))),complement(join(meet(X_6,X_7),complement(meet(X_6,X_7))))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_102,plain,
( join(meet(X_6,X_7),complement(meet(X_6,X_7))) != top
| complement(join(meet(X_6,X_7),complement(meet(X_6,X_7)))) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(join(meet(X_6,X_7),complement(meet(X_6,X_7)))),complement(join(meet(X_6,X_7),complement(meet(X_6,X_7))))) )],[refute_0_100,refute_0_101]) ).
cnf(refute_0_103,plain,
complement(join(meet(X_6,X_7),complement(meet(X_6,X_7)))) = complement(top),
inference(resolve,[$cnf( $equal(join(meet(X_6,X_7),complement(meet(X_6,X_7))),top) )],[refute_0_99,refute_0_102]) ).
cnf(refute_0_104,plain,
meet(join(complement(X_6),complement(X_7)),X1) = complement(join(complement(join(complement(X_6),complement(X_7))),complement(X1))),
inference(subst,[],[refute_0_13:[bind(X0,$fot(join(complement(X_6),complement(X_7))))]]) ).
cnf(refute_0_105,plain,
( complement(join(complement(X_6),complement(X_7))) != meet(X_6,X_7)
| meet(join(complement(X_6),complement(X_7)),X1) != complement(join(complement(join(complement(X_6),complement(X_7))),complement(X1)))
| meet(join(complement(X_6),complement(X_7)),X1) = complement(join(meet(X_6,X_7),complement(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(complement(X_6),complement(X_7)),X1),complement(join(complement(join(complement(X_6),complement(X_7))),complement(X1)))) ),[1,0,0],$fot(meet(X_6,X_7))]]) ).
cnf(refute_0_106,plain,
( meet(join(complement(X_6),complement(X_7)),X1) != complement(join(complement(join(complement(X_6),complement(X_7))),complement(X1)))
| meet(join(complement(X_6),complement(X_7)),X1) = complement(join(meet(X_6,X_7),complement(X1))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_6),complement(X_7))),meet(X_6,X_7)) )],[refute_0_93,refute_0_105]) ).
cnf(refute_0_107,plain,
meet(join(complement(X_6),complement(X_7)),X1) = complement(join(meet(X_6,X_7),complement(X1))),
inference(resolve,[$cnf( $equal(meet(join(complement(X_6),complement(X_7)),X1),complement(join(complement(join(complement(X_6),complement(X_7))),complement(X1)))) )],[refute_0_104,refute_0_106]) ).
cnf(refute_0_108,plain,
meet(join(complement(X_6),complement(X_7)),meet(X_6,X_7)) = complement(join(meet(X_6,X_7),complement(meet(X_6,X_7)))),
inference(subst,[],[refute_0_107:[bind(X1,$fot(meet(X_6,X_7)))]]) ).
cnf(refute_0_109,plain,
( complement(join(meet(X_6,X_7),complement(meet(X_6,X_7)))) != complement(top)
| meet(join(complement(X_6),complement(X_7)),meet(X_6,X_7)) != complement(join(meet(X_6,X_7),complement(meet(X_6,X_7))))
| meet(join(complement(X_6),complement(X_7)),meet(X_6,X_7)) = complement(top) ),
inference(subst,[],[refute_0_21:[bind(X,$fot(meet(join(complement(X_6),complement(X_7)),meet(X_6,X_7)))),bind(Y,$fot(complement(join(meet(X_6,X_7),complement(meet(X_6,X_7)))))),bind(Z,$fot(complement(top)))]]) ).
cnf(refute_0_110,plain,
( complement(join(meet(X_6,X_7),complement(meet(X_6,X_7)))) != complement(top)
| meet(join(complement(X_6),complement(X_7)),meet(X_6,X_7)) = complement(top) ),
inference(resolve,[$cnf( $equal(meet(join(complement(X_6),complement(X_7)),meet(X_6,X_7)),complement(join(meet(X_6,X_7),complement(meet(X_6,X_7))))) )],[refute_0_108,refute_0_109]) ).
cnf(refute_0_111,plain,
meet(join(complement(X_6),complement(X_7)),meet(X_6,X_7)) = complement(top),
inference(resolve,[$cnf( $equal(complement(join(meet(X_6,X_7),complement(meet(X_6,X_7)))),complement(top)) )],[refute_0_103,refute_0_110]) ).
cnf(refute_0_112,plain,
( meet(join(complement(X_6),complement(X_7)),meet(X_6,X_7)) != complement(top)
| zero != meet(join(complement(X_6),complement(X_7)),meet(X_6,X_7))
| zero = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(zero,meet(join(complement(X_6),complement(X_7)),meet(X_6,X_7))) ),[1],$fot(complement(top))]]) ).
cnf(refute_0_113,plain,
( zero != meet(join(complement(X_6),complement(X_7)),meet(X_6,X_7))
| zero = complement(top) ),
inference(resolve,[$cnf( $equal(meet(join(complement(X_6),complement(X_7)),meet(X_6,X_7)),complement(top)) )],[refute_0_111,refute_0_112]) ).
cnf(refute_0_114,plain,
zero = complement(top),
inference(resolve,[$cnf( $equal(zero,meet(join(complement(X_6),complement(X_7)),meet(X_6,X_7))) )],[refute_0_96,refute_0_113]) ).
cnf(refute_0_115,plain,
( zero != complement(top)
| complement(top) = zero ),
inference(subst,[],[refute_0_5:[bind(X,$fot(zero)),bind(Y,$fot(complement(top)))]]) ).
cnf(refute_0_116,plain,
complement(top) = zero,
inference(resolve,[$cnf( $equal(zero,complement(top)) )],[refute_0_114,refute_0_115]) ).
cnf(refute_0_117,plain,
join(complement(top),meet(X_43,complement(complement(X_43)))) = join(complement(top),meet(X_43,complement(complement(X_43)))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(X_43,complement(complement(X_43)))))]]) ).
cnf(refute_0_118,plain,
( complement(top) != zero
| join(complement(top),meet(X_43,complement(complement(X_43)))) != join(complement(top),meet(X_43,complement(complement(X_43))))
| join(complement(top),meet(X_43,complement(complement(X_43)))) = join(zero,meet(X_43,complement(complement(X_43)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(X_43,complement(complement(X_43)))),join(complement(top),meet(X_43,complement(complement(X_43))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_119,plain,
( complement(top) != zero
| join(complement(top),meet(X_43,complement(complement(X_43)))) = join(zero,meet(X_43,complement(complement(X_43)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_43,complement(complement(X_43)))),join(complement(top),meet(X_43,complement(complement(X_43))))) )],[refute_0_117,refute_0_118]) ).
cnf(refute_0_120,plain,
join(complement(top),meet(X_43,complement(complement(X_43)))) = join(zero,meet(X_43,complement(complement(X_43)))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_116,refute_0_119]) ).
cnf(refute_0_121,plain,
join(meet(X_43,complement(complement(X_43))),complement(top)) = join(complement(top),meet(X_43,complement(complement(X_43)))),
inference(subst,[],[refute_0_7:[bind(X0,$fot(complement(top))),bind(X1,$fot(meet(X_43,complement(complement(X_43)))))]]) ).
cnf(refute_0_122,plain,
( join(complement(top),meet(X_43,complement(complement(X_43)))) != join(zero,meet(X_43,complement(complement(X_43))))
| join(meet(X_43,complement(complement(X_43))),complement(top)) != join(complement(top),meet(X_43,complement(complement(X_43))))
| join(meet(X_43,complement(complement(X_43))),complement(top)) = join(zero,meet(X_43,complement(complement(X_43)))) ),
inference(subst,[],[refute_0_21:[bind(X,$fot(join(meet(X_43,complement(complement(X_43))),complement(top)))),bind(Y,$fot(join(complement(top),meet(X_43,complement(complement(X_43)))))),bind(Z,$fot(join(zero,meet(X_43,complement(complement(X_43))))))]]) ).
cnf(refute_0_123,plain,
( join(complement(top),meet(X_43,complement(complement(X_43)))) != join(zero,meet(X_43,complement(complement(X_43))))
| join(meet(X_43,complement(complement(X_43))),complement(top)) = join(zero,meet(X_43,complement(complement(X_43)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_43,complement(complement(X_43))),complement(top)),join(complement(top),meet(X_43,complement(complement(X_43))))) )],[refute_0_121,refute_0_122]) ).
cnf(refute_0_124,plain,
join(meet(X_43,complement(complement(X_43))),complement(top)) = join(zero,meet(X_43,complement(complement(X_43)))),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_43,complement(complement(X_43)))),join(zero,meet(X_43,complement(complement(X_43))))) )],[refute_0_120,refute_0_123]) ).
cnf(refute_0_125,plain,
( X_43 != join(meet(X_43,complement(complement(X_43))),complement(top))
| join(meet(X_43,complement(complement(X_43))),complement(top)) != join(zero,meet(X_43,complement(complement(X_43))))
| X_43 = join(zero,meet(X_43,complement(complement(X_43)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_43,join(zero,meet(X_43,complement(complement(X_43))))) ),[0],$fot(join(meet(X_43,complement(complement(X_43))),complement(top)))]]) ).
cnf(refute_0_126,plain,
( X_43 != join(meet(X_43,complement(complement(X_43))),complement(top))
| X_43 = join(zero,meet(X_43,complement(complement(X_43)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_43,complement(complement(X_43))),complement(top)),join(zero,meet(X_43,complement(complement(X_43))))) )],[refute_0_124,refute_0_125]) ).
cnf(refute_0_127,plain,
X_43 = join(zero,meet(X_43,complement(complement(X_43)))),
inference(resolve,[$cnf( $equal(X_43,join(meet(X_43,complement(complement(X_43))),complement(top))) )],[refute_0_89,refute_0_126]) ).
cnf(refute_0_128,plain,
meet(X1,X1) = complement(join(complement(X1),complement(X1))),
inference(subst,[],[refute_0_13:[bind(X0,$fot(X1))]]) ).
cnf(refute_0_129,plain,
join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
inference(canonicalize,[],[normalize_0_17]) ).
cnf(refute_0_130,plain,
join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))),
inference(subst,[],[refute_0_7:[bind(X0,$fot(complement(X1))),bind(X1,$fot(composition(converse(X0),complement(composition(X0,X1)))))]]) ).
cnf(refute_0_131,plain,
( join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) != complement(X1)
| join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) != join(complement(X1),composition(converse(X0),complement(composition(X0,X1))))
| join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))) = complement(X1) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),complement(X1)) ),[0],$fot(join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))))]]) ).
cnf(refute_0_132,plain,
( join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) != complement(X1)
| join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))) = complement(X1) ),
inference(resolve,[$cnf( $equal(join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),join(complement(X1),composition(converse(X0),complement(composition(X0,X1))))) )],[refute_0_130,refute_0_131]) ).
cnf(refute_0_133,plain,
join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))) = complement(X1),
inference(resolve,[$cnf( $equal(join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),complement(X1)) )],[refute_0_129,refute_0_132]) ).
cnf(refute_0_134,plain,
join(complement(X_32),composition(converse(one),complement(composition(one,X_32)))) = complement(X_32),
inference(subst,[],[refute_0_133:[bind(X0,$fot(one)),bind(X1,$fot(X_32))]]) ).
cnf(refute_0_135,plain,
converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(canonicalize,[],[normalize_0_19]) ).
cnf(refute_0_136,plain,
converse(composition(converse(X0),X_17)) = composition(converse(X_17),converse(converse(X0))),
inference(subst,[],[refute_0_135:[bind(X0,$fot(converse(X0))),bind(X1,$fot(X_17))]]) ).
cnf(refute_0_137,plain,
( converse(composition(converse(X0),X_17)) != composition(converse(X_17),converse(converse(X0)))
| converse(converse(X0)) != X0
| converse(composition(converse(X0),X_17)) = composition(converse(X_17),X0) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(X0),X_17)),composition(converse(X_17),converse(converse(X0)))) ),[1,1],$fot(X0)]]) ).
cnf(refute_0_138,plain,
( converse(composition(converse(X0),X_17)) != composition(converse(X_17),converse(converse(X0)))
| converse(composition(converse(X0),X_17)) = composition(converse(X_17),X0) ),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_0_61,refute_0_137]) ).
cnf(refute_0_139,plain,
converse(composition(converse(X0),X_17)) = composition(converse(X_17),X0),
inference(resolve,[$cnf( $equal(converse(composition(converse(X0),X_17)),composition(converse(X_17),converse(converse(X0)))) )],[refute_0_136,refute_0_138]) ).
cnf(refute_0_140,plain,
converse(composition(converse(X_18),one)) = composition(converse(one),X_18),
inference(subst,[],[refute_0_139:[bind(X0,$fot(X_18)),bind(X_17,$fot(one))]]) ).
cnf(refute_0_141,plain,
composition(X0,one) = X0,
inference(canonicalize,[],[normalize_0_21]) ).
cnf(refute_0_142,plain,
composition(converse(X_18),one) = converse(X_18),
inference(subst,[],[refute_0_141:[bind(X0,$fot(converse(X_18)))]]) ).
cnf(refute_0_143,plain,
( composition(converse(X_18),one) != converse(X_18)
| converse(composition(converse(X_18),one)) != composition(converse(one),X_18)
| converse(converse(X_18)) = composition(converse(one),X_18) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(X_18),one)),composition(converse(one),X_18)) ),[0,0],$fot(converse(X_18))]]) ).
cnf(refute_0_144,plain,
( converse(composition(converse(X_18),one)) != composition(converse(one),X_18)
| converse(converse(X_18)) = composition(converse(one),X_18) ),
inference(resolve,[$cnf( $equal(composition(converse(X_18),one),converse(X_18)) )],[refute_0_142,refute_0_143]) ).
cnf(refute_0_145,plain,
converse(converse(X_18)) = composition(converse(one),X_18),
inference(resolve,[$cnf( $equal(converse(composition(converse(X_18),one)),composition(converse(one),X_18)) )],[refute_0_140,refute_0_144]) ).
cnf(refute_0_146,plain,
converse(converse(X_18)) = X_18,
inference(subst,[],[refute_0_61:[bind(X0,$fot(X_18))]]) ).
cnf(refute_0_147,plain,
( converse(converse(X_18)) != X_18
| converse(converse(X_18)) != composition(converse(one),X_18)
| X_18 = composition(converse(one),X_18) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(X_18)),composition(converse(one),X_18)) ),[0],$fot(X_18)]]) ).
cnf(refute_0_148,plain,
( converse(converse(X_18)) != composition(converse(one),X_18)
| X_18 = composition(converse(one),X_18) ),
inference(resolve,[$cnf( $equal(converse(converse(X_18)),X_18) )],[refute_0_146,refute_0_147]) ).
cnf(refute_0_149,plain,
X_18 = composition(converse(one),X_18),
inference(resolve,[$cnf( $equal(converse(converse(X_18)),composition(converse(one),X_18)) )],[refute_0_145,refute_0_148]) ).
cnf(refute_0_150,plain,
composition(converse(one),one) = converse(one),
inference(subst,[],[refute_0_141:[bind(X0,$fot(converse(one)))]]) ).
cnf(refute_0_151,plain,
one = composition(converse(one),one),
inference(subst,[],[refute_0_149:[bind(X_18,$fot(one))]]) ).
cnf(refute_0_152,plain,
( one != composition(converse(one),one)
| composition(converse(one),one) = one ),
inference(subst,[],[refute_0_5:[bind(X,$fot(one)),bind(Y,$fot(composition(converse(one),one)))]]) ).
cnf(refute_0_153,plain,
composition(converse(one),one) = one,
inference(resolve,[$cnf( $equal(one,composition(converse(one),one)) )],[refute_0_151,refute_0_152]) ).
cnf(refute_0_154,plain,
( composition(converse(one),one) != converse(one)
| composition(converse(one),one) != one
| one = converse(one) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(one),one),converse(one)) ),[0],$fot(one)]]) ).
cnf(refute_0_155,plain,
( composition(converse(one),one) != converse(one)
| one = converse(one) ),
inference(resolve,[$cnf( $equal(composition(converse(one),one),one) )],[refute_0_153,refute_0_154]) ).
cnf(refute_0_156,plain,
one = converse(one),
inference(resolve,[$cnf( $equal(composition(converse(one),one),converse(one)) )],[refute_0_150,refute_0_155]) ).
cnf(refute_0_157,plain,
( one != converse(one)
| converse(one) = one ),
inference(subst,[],[refute_0_5:[bind(X,$fot(one)),bind(Y,$fot(converse(one)))]]) ).
cnf(refute_0_158,plain,
converse(one) = one,
inference(resolve,[$cnf( $equal(one,converse(one)) )],[refute_0_156,refute_0_157]) ).
cnf(refute_0_159,plain,
composition(converse(one),X_18) = composition(converse(one),X_18),
introduced(tautology,[refl,[$fot(composition(converse(one),X_18))]]) ).
cnf(refute_0_160,plain,
( composition(converse(one),X_18) != composition(converse(one),X_18)
| converse(one) != one
| composition(converse(one),X_18) = composition(one,X_18) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(one),X_18),composition(converse(one),X_18)) ),[1,0],$fot(one)]]) ).
cnf(refute_0_161,plain,
( converse(one) != one
| composition(converse(one),X_18) = composition(one,X_18) ),
inference(resolve,[$cnf( $equal(composition(converse(one),X_18),composition(converse(one),X_18)) )],[refute_0_159,refute_0_160]) ).
cnf(refute_0_162,plain,
composition(converse(one),X_18) = composition(one,X_18),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_158,refute_0_161]) ).
cnf(refute_0_163,plain,
( X_18 != composition(converse(one),X_18)
| composition(converse(one),X_18) != composition(one,X_18)
| X_18 = composition(one,X_18) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_18,composition(one,X_18)) ),[0],$fot(composition(converse(one),X_18))]]) ).
cnf(refute_0_164,plain,
( X_18 != composition(converse(one),X_18)
| X_18 = composition(one,X_18) ),
inference(resolve,[$cnf( $equal(composition(converse(one),X_18),composition(one,X_18)) )],[refute_0_162,refute_0_163]) ).
cnf(refute_0_165,plain,
X_18 = composition(one,X_18),
inference(resolve,[$cnf( $equal(X_18,composition(converse(one),X_18)) )],[refute_0_149,refute_0_164]) ).
cnf(refute_0_166,plain,
X_32 = composition(one,X_32),
inference(subst,[],[refute_0_165:[bind(X_18,$fot(X_32))]]) ).
cnf(refute_0_167,plain,
( X_32 != composition(one,X_32)
| composition(one,X_32) = X_32 ),
inference(subst,[],[refute_0_5:[bind(X,$fot(X_32)),bind(Y,$fot(composition(one,X_32)))]]) ).
cnf(refute_0_168,plain,
composition(one,X_32) = X_32,
inference(resolve,[$cnf( $equal(X_32,composition(one,X_32)) )],[refute_0_166,refute_0_167]) ).
cnf(refute_0_169,plain,
( composition(one,X_32) != X_32
| join(complement(X_32),composition(converse(one),complement(composition(one,X_32)))) != complement(X_32)
| join(complement(X_32),composition(converse(one),complement(X_32))) = complement(X_32) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_32),composition(converse(one),complement(composition(one,X_32)))),complement(X_32)) ),[0,1,1,0],$fot(X_32)]]) ).
cnf(refute_0_170,plain,
( join(complement(X_32),composition(converse(one),complement(composition(one,X_32)))) != complement(X_32)
| join(complement(X_32),composition(converse(one),complement(X_32))) = complement(X_32) ),
inference(resolve,[$cnf( $equal(composition(one,X_32),X_32) )],[refute_0_168,refute_0_169]) ).
cnf(refute_0_171,plain,
join(complement(X_32),composition(converse(one),complement(X_32))) = complement(X_32),
inference(resolve,[$cnf( $equal(join(complement(X_32),composition(converse(one),complement(composition(one,X_32)))),complement(X_32)) )],[refute_0_134,refute_0_170]) ).
cnf(refute_0_172,plain,
( X_18 != composition(one,X_18)
| composition(one,X_18) = X_18 ),
inference(subst,[],[refute_0_5:[bind(X,$fot(X_18)),bind(Y,$fot(composition(one,X_18)))]]) ).
cnf(refute_0_173,plain,
composition(one,X_18) = X_18,
inference(resolve,[$cnf( $equal(X_18,composition(one,X_18)) )],[refute_0_165,refute_0_172]) ).
cnf(refute_0_174,plain,
composition(one,complement(X_32)) = complement(X_32),
inference(subst,[],[refute_0_173:[bind(X_18,$fot(complement(X_32)))]]) ).
cnf(refute_0_175,plain,
composition(converse(one),complement(X_32)) = composition(converse(one),complement(X_32)),
introduced(tautology,[refl,[$fot(composition(converse(one),complement(X_32)))]]) ).
cnf(refute_0_176,plain,
( composition(converse(one),complement(X_32)) != composition(converse(one),complement(X_32))
| converse(one) != one
| composition(converse(one),complement(X_32)) = composition(one,complement(X_32)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(one),complement(X_32)),composition(converse(one),complement(X_32))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_177,plain,
( converse(one) != one
| composition(converse(one),complement(X_32)) = composition(one,complement(X_32)) ),
inference(resolve,[$cnf( $equal(composition(converse(one),complement(X_32)),composition(converse(one),complement(X_32))) )],[refute_0_175,refute_0_176]) ).
cnf(refute_0_178,plain,
composition(converse(one),complement(X_32)) = composition(one,complement(X_32)),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_158,refute_0_177]) ).
cnf(refute_0_179,plain,
( composition(converse(one),complement(X_32)) != composition(one,complement(X_32))
| composition(one,complement(X_32)) != complement(X_32)
| composition(converse(one),complement(X_32)) = complement(X_32) ),
inference(subst,[],[refute_0_21:[bind(X,$fot(composition(converse(one),complement(X_32)))),bind(Y,$fot(composition(one,complement(X_32)))),bind(Z,$fot(complement(X_32)))]]) ).
cnf(refute_0_180,plain,
( composition(one,complement(X_32)) != complement(X_32)
| composition(converse(one),complement(X_32)) = complement(X_32) ),
inference(resolve,[$cnf( $equal(composition(converse(one),complement(X_32)),composition(one,complement(X_32))) )],[refute_0_178,refute_0_179]) ).
cnf(refute_0_181,plain,
composition(converse(one),complement(X_32)) = complement(X_32),
inference(resolve,[$cnf( $equal(composition(one,complement(X_32)),complement(X_32)) )],[refute_0_174,refute_0_180]) ).
cnf(refute_0_182,plain,
join(complement(X_32),composition(converse(one),complement(X_32))) = join(complement(X_32),composition(converse(one),complement(X_32))),
introduced(tautology,[refl,[$fot(join(complement(X_32),composition(converse(one),complement(X_32))))]]) ).
cnf(refute_0_183,plain,
( composition(converse(one),complement(X_32)) != complement(X_32)
| join(complement(X_32),composition(converse(one),complement(X_32))) != join(complement(X_32),composition(converse(one),complement(X_32)))
| join(complement(X_32),composition(converse(one),complement(X_32))) = join(complement(X_32),complement(X_32)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_32),composition(converse(one),complement(X_32))),join(complement(X_32),composition(converse(one),complement(X_32)))) ),[1,1],$fot(complement(X_32))]]) ).
cnf(refute_0_184,plain,
( composition(converse(one),complement(X_32)) != complement(X_32)
| join(complement(X_32),composition(converse(one),complement(X_32))) = join(complement(X_32),complement(X_32)) ),
inference(resolve,[$cnf( $equal(join(complement(X_32),composition(converse(one),complement(X_32))),join(complement(X_32),composition(converse(one),complement(X_32)))) )],[refute_0_182,refute_0_183]) ).
cnf(refute_0_185,plain,
join(complement(X_32),composition(converse(one),complement(X_32))) = join(complement(X_32),complement(X_32)),
inference(resolve,[$cnf( $equal(composition(converse(one),complement(X_32)),complement(X_32)) )],[refute_0_181,refute_0_184]) ).
cnf(refute_0_186,plain,
( join(complement(X_32),composition(converse(one),complement(X_32))) != complement(X_32)
| join(complement(X_32),composition(converse(one),complement(X_32))) != join(complement(X_32),complement(X_32))
| join(complement(X_32),complement(X_32)) = complement(X_32) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_32),composition(converse(one),complement(X_32))),complement(X_32)) ),[0],$fot(join(complement(X_32),complement(X_32)))]]) ).
cnf(refute_0_187,plain,
( join(complement(X_32),composition(converse(one),complement(X_32))) != complement(X_32)
| join(complement(X_32),complement(X_32)) = complement(X_32) ),
inference(resolve,[$cnf( $equal(join(complement(X_32),composition(converse(one),complement(X_32))),join(complement(X_32),complement(X_32))) )],[refute_0_185,refute_0_186]) ).
cnf(refute_0_188,plain,
join(complement(X_32),complement(X_32)) = complement(X_32),
inference(resolve,[$cnf( $equal(join(complement(X_32),composition(converse(one),complement(X_32))),complement(X_32)) )],[refute_0_171,refute_0_187]) ).
cnf(refute_0_189,plain,
join(complement(X1),complement(X1)) = complement(X1),
inference(subst,[],[refute_0_188:[bind(X_32,$fot(X1))]]) ).
cnf(refute_0_190,plain,
( join(complement(X1),complement(X1)) != complement(X1)
| meet(X1,X1) != complement(join(complement(X1),complement(X1)))
| meet(X1,X1) = complement(complement(X1)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X1,X1),complement(join(complement(X1),complement(X1)))) ),[1,0],$fot(complement(X1))]]) ).
cnf(refute_0_191,plain,
( meet(X1,X1) != complement(join(complement(X1),complement(X1)))
| meet(X1,X1) = complement(complement(X1)) ),
inference(resolve,[$cnf( $equal(join(complement(X1),complement(X1)),complement(X1)) )],[refute_0_189,refute_0_190]) ).
cnf(refute_0_192,plain,
meet(X1,X1) = complement(complement(X1)),
inference(resolve,[$cnf( $equal(meet(X1,X1),complement(join(complement(X1),complement(X1)))) )],[refute_0_128,refute_0_191]) ).
cnf(refute_0_193,plain,
X_43 = join(meet(X_43,complement(X_43)),complement(join(complement(X_43),complement(X_43)))),
inference(subst,[],[refute_0_27:[bind(X0,$fot(X_43)),bind(X1,$fot(complement(X_43)))]]) ).
cnf(refute_0_194,plain,
join(complement(X_43),complement(X_43)) = complement(X_43),
inference(subst,[],[refute_0_188:[bind(X_32,$fot(X_43))]]) ).
cnf(refute_0_195,plain,
( X_43 != join(meet(X_43,complement(X_43)),complement(join(complement(X_43),complement(X_43))))
| join(complement(X_43),complement(X_43)) != complement(X_43)
| X_43 = join(meet(X_43,complement(X_43)),complement(complement(X_43))) ),
introduced(tautology,[equality,[$cnf( $equal(X_43,join(meet(X_43,complement(X_43)),complement(join(complement(X_43),complement(X_43))))) ),[1,1,0],$fot(complement(X_43))]]) ).
cnf(refute_0_196,plain,
( X_43 != join(meet(X_43,complement(X_43)),complement(join(complement(X_43),complement(X_43))))
| X_43 = join(meet(X_43,complement(X_43)),complement(complement(X_43))) ),
inference(resolve,[$cnf( $equal(join(complement(X_43),complement(X_43)),complement(X_43)) )],[refute_0_194,refute_0_195]) ).
cnf(refute_0_197,plain,
X_43 = join(meet(X_43,complement(X_43)),complement(complement(X_43))),
inference(resolve,[$cnf( $equal(X_43,join(meet(X_43,complement(X_43)),complement(join(complement(X_43),complement(X_43))))) )],[refute_0_193,refute_0_196]) ).
cnf(refute_0_198,plain,
join(complement(complement(X_43)),zero) = join(zero,complement(complement(X_43))),
inference(subst,[],[refute_0_7:[bind(X0,$fot(zero)),bind(X1,$fot(complement(complement(X_43))))]]) ).
cnf(refute_0_199,plain,
( zero != meet(X0,complement(X0))
| meet(X0,complement(X0)) = zero ),
inference(subst,[],[refute_0_5:[bind(X,$fot(zero)),bind(Y,$fot(meet(X0,complement(X0))))]]) ).
cnf(refute_0_200,plain,
meet(X0,complement(X0)) = zero,
inference(resolve,[$cnf( $equal(zero,meet(X0,complement(X0))) )],[refute_0_90,refute_0_199]) ).
cnf(refute_0_201,plain,
meet(X_43,complement(X_43)) = zero,
inference(subst,[],[refute_0_200:[bind(X0,$fot(X_43))]]) ).
cnf(refute_0_202,plain,
join(complement(complement(X_43)),meet(X_43,complement(X_43))) = join(complement(complement(X_43)),meet(X_43,complement(X_43))),
introduced(tautology,[refl,[$fot(join(complement(complement(X_43)),meet(X_43,complement(X_43))))]]) ).
cnf(refute_0_203,plain,
( join(complement(complement(X_43)),meet(X_43,complement(X_43))) != join(complement(complement(X_43)),meet(X_43,complement(X_43)))
| meet(X_43,complement(X_43)) != zero
| join(complement(complement(X_43)),meet(X_43,complement(X_43))) = join(complement(complement(X_43)),zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(X_43)),meet(X_43,complement(X_43))),join(complement(complement(X_43)),meet(X_43,complement(X_43)))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_204,plain,
( meet(X_43,complement(X_43)) != zero
| join(complement(complement(X_43)),meet(X_43,complement(X_43))) = join(complement(complement(X_43)),zero) ),
inference(resolve,[$cnf( $equal(join(complement(complement(X_43)),meet(X_43,complement(X_43))),join(complement(complement(X_43)),meet(X_43,complement(X_43)))) )],[refute_0_202,refute_0_203]) ).
cnf(refute_0_205,plain,
join(complement(complement(X_43)),meet(X_43,complement(X_43))) = join(complement(complement(X_43)),zero),
inference(resolve,[$cnf( $equal(meet(X_43,complement(X_43)),zero) )],[refute_0_201,refute_0_204]) ).
cnf(refute_0_206,plain,
( join(complement(complement(X_43)),meet(X_43,complement(X_43))) != join(complement(complement(X_43)),zero)
| join(complement(complement(X_43)),zero) != join(zero,complement(complement(X_43)))
| join(complement(complement(X_43)),meet(X_43,complement(X_43))) = join(zero,complement(complement(X_43))) ),
inference(subst,[],[refute_0_21:[bind(X,$fot(join(complement(complement(X_43)),meet(X_43,complement(X_43))))),bind(Y,$fot(join(complement(complement(X_43)),zero))),bind(Z,$fot(join(zero,complement(complement(X_43)))))]]) ).
cnf(refute_0_207,plain,
( join(complement(complement(X_43)),zero) != join(zero,complement(complement(X_43)))
| join(complement(complement(X_43)),meet(X_43,complement(X_43))) = join(zero,complement(complement(X_43))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(X_43)),meet(X_43,complement(X_43))),join(complement(complement(X_43)),zero)) )],[refute_0_205,refute_0_206]) ).
cnf(refute_0_208,plain,
join(complement(complement(X_43)),meet(X_43,complement(X_43))) = join(zero,complement(complement(X_43))),
inference(resolve,[$cnf( $equal(join(complement(complement(X_43)),zero),join(zero,complement(complement(X_43)))) )],[refute_0_198,refute_0_207]) ).
cnf(refute_0_209,plain,
join(meet(X_43,complement(X_43)),complement(complement(X_43))) = join(complement(complement(X_43)),meet(X_43,complement(X_43))),
inference(subst,[],[refute_0_7:[bind(X0,$fot(complement(complement(X_43)))),bind(X1,$fot(meet(X_43,complement(X_43))))]]) ).
cnf(refute_0_210,plain,
( join(complement(complement(X_43)),meet(X_43,complement(X_43))) != join(zero,complement(complement(X_43)))
| join(meet(X_43,complement(X_43)),complement(complement(X_43))) != join(complement(complement(X_43)),meet(X_43,complement(X_43)))
| join(meet(X_43,complement(X_43)),complement(complement(X_43))) = join(zero,complement(complement(X_43))) ),
inference(subst,[],[refute_0_21:[bind(X,$fot(join(meet(X_43,complement(X_43)),complement(complement(X_43))))),bind(Y,$fot(join(complement(complement(X_43)),meet(X_43,complement(X_43))))),bind(Z,$fot(join(zero,complement(complement(X_43)))))]]) ).
cnf(refute_0_211,plain,
( join(complement(complement(X_43)),meet(X_43,complement(X_43))) != join(zero,complement(complement(X_43)))
| join(meet(X_43,complement(X_43)),complement(complement(X_43))) = join(zero,complement(complement(X_43))) ),
inference(resolve,[$cnf( $equal(join(meet(X_43,complement(X_43)),complement(complement(X_43))),join(complement(complement(X_43)),meet(X_43,complement(X_43)))) )],[refute_0_209,refute_0_210]) ).
cnf(refute_0_212,plain,
join(meet(X_43,complement(X_43)),complement(complement(X_43))) = join(zero,complement(complement(X_43))),
inference(resolve,[$cnf( $equal(join(complement(complement(X_43)),meet(X_43,complement(X_43))),join(zero,complement(complement(X_43)))) )],[refute_0_208,refute_0_211]) ).
cnf(refute_0_213,plain,
( X_43 != join(meet(X_43,complement(X_43)),complement(complement(X_43)))
| join(meet(X_43,complement(X_43)),complement(complement(X_43))) != join(zero,complement(complement(X_43)))
| X_43 = join(zero,complement(complement(X_43))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_43,join(zero,complement(complement(X_43)))) ),[0],$fot(join(meet(X_43,complement(X_43)),complement(complement(X_43))))]]) ).
cnf(refute_0_214,plain,
( X_43 != join(meet(X_43,complement(X_43)),complement(complement(X_43)))
| X_43 = join(zero,complement(complement(X_43))) ),
inference(resolve,[$cnf( $equal(join(meet(X_43,complement(X_43)),complement(complement(X_43))),join(zero,complement(complement(X_43)))) )],[refute_0_212,refute_0_213]) ).
cnf(refute_0_215,plain,
X_43 = join(zero,complement(complement(X_43))),
inference(resolve,[$cnf( $equal(X_43,join(meet(X_43,complement(X_43)),complement(complement(X_43)))) )],[refute_0_197,refute_0_214]) ).
cnf(refute_0_216,plain,
X_43 = join(meet(X_43,top),complement(join(complement(X_43),top))),
inference(subst,[],[refute_0_27:[bind(X0,$fot(X_43)),bind(X1,$fot(top))]]) ).
cnf(refute_0_217,plain,
meet(X0,top) = complement(join(complement(X0),complement(top))),
inference(subst,[],[refute_0_13:[bind(X1,$fot(top))]]) ).
cnf(refute_0_218,plain,
( complement(top) != zero
| meet(X0,top) != complement(join(complement(X0),complement(top)))
| meet(X0,top) = complement(join(complement(X0),zero)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X0,top),complement(join(complement(X0),complement(top)))) ),[1,0,1],$fot(zero)]]) ).
cnf(refute_0_219,plain,
( meet(X0,top) != complement(join(complement(X0),complement(top)))
| meet(X0,top) = complement(join(complement(X0),zero)) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_116,refute_0_218]) ).
cnf(refute_0_220,plain,
meet(X0,top) = complement(join(complement(X0),zero)),
inference(resolve,[$cnf( $equal(meet(X0,top),complement(join(complement(X0),complement(top)))) )],[refute_0_217,refute_0_219]) ).
cnf(refute_0_221,plain,
meet(top,X1) = complement(join(complement(top),complement(X1))),
inference(subst,[],[refute_0_13:[bind(X0,$fot(top))]]) ).
cnf(refute_0_222,plain,
( complement(top) != zero
| meet(top,X1) != complement(join(complement(top),complement(X1)))
| meet(top,X1) = complement(join(zero,complement(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,X1),complement(join(complement(top),complement(X1)))) ),[1,0,0],$fot(zero)]]) ).
cnf(refute_0_223,plain,
( meet(top,X1) != complement(join(complement(top),complement(X1)))
| meet(top,X1) = complement(join(zero,complement(X1))) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_116,refute_0_222]) ).
cnf(refute_0_224,plain,
meet(top,X1) = complement(join(zero,complement(X1))),
inference(resolve,[$cnf( $equal(meet(top,X1),complement(join(complement(top),complement(X1)))) )],[refute_0_221,refute_0_223]) ).
cnf(refute_0_225,plain,
( meet(top,X1) != complement(join(zero,complement(X1)))
| complement(join(zero,complement(X1))) = meet(top,X1) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(meet(top,X1))),bind(Y,$fot(complement(join(zero,complement(X1)))))]]) ).
cnf(refute_0_226,plain,
complement(join(zero,complement(X1))) = meet(top,X1),
inference(resolve,[$cnf( $equal(meet(top,X1),complement(join(zero,complement(X1)))) )],[refute_0_224,refute_0_225]) ).
cnf(refute_0_227,plain,
complement(join(zero,complement(X0))) = meet(top,X0),
inference(subst,[],[refute_0_226:[bind(X1,$fot(X0))]]) ).
cnf(refute_0_228,plain,
join(complement(X0),zero) = join(zero,complement(X0)),
inference(subst,[],[refute_0_7:[bind(X0,$fot(zero)),bind(X1,$fot(complement(X0)))]]) ).
cnf(refute_0_229,plain,
complement(join(complement(X0),zero)) = complement(join(complement(X0),zero)),
introduced(tautology,[refl,[$fot(complement(join(complement(X0),zero)))]]) ).
cnf(refute_0_230,plain,
( complement(join(complement(X0),zero)) != complement(join(complement(X0),zero))
| join(complement(X0),zero) != join(zero,complement(X0))
| complement(join(complement(X0),zero)) = complement(join(zero,complement(X0))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(X0),zero)),complement(join(complement(X0),zero))) ),[1,0],$fot(join(zero,complement(X0)))]]) ).
cnf(refute_0_231,plain,
( join(complement(X0),zero) != join(zero,complement(X0))
| complement(join(complement(X0),zero)) = complement(join(zero,complement(X0))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X0),zero)),complement(join(complement(X0),zero))) )],[refute_0_229,refute_0_230]) ).
cnf(refute_0_232,plain,
complement(join(complement(X0),zero)) = complement(join(zero,complement(X0))),
inference(resolve,[$cnf( $equal(join(complement(X0),zero),join(zero,complement(X0))) )],[refute_0_228,refute_0_231]) ).
cnf(refute_0_233,plain,
( complement(join(complement(X0),zero)) != complement(join(zero,complement(X0)))
| complement(join(zero,complement(X0))) != meet(top,X0)
| complement(join(complement(X0),zero)) = meet(top,X0) ),
inference(subst,[],[refute_0_21:[bind(X,$fot(complement(join(complement(X0),zero)))),bind(Y,$fot(complement(join(zero,complement(X0))))),bind(Z,$fot(meet(top,X0)))]]) ).
cnf(refute_0_234,plain,
( complement(join(zero,complement(X0))) != meet(top,X0)
| complement(join(complement(X0),zero)) = meet(top,X0) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X0),zero)),complement(join(zero,complement(X0)))) )],[refute_0_232,refute_0_233]) ).
cnf(refute_0_235,plain,
complement(join(complement(X0),zero)) = meet(top,X0),
inference(resolve,[$cnf( $equal(complement(join(zero,complement(X0))),meet(top,X0)) )],[refute_0_227,refute_0_234]) ).
cnf(refute_0_236,plain,
( complement(join(complement(X0),zero)) != meet(top,X0)
| meet(X0,top) != complement(join(complement(X0),zero))
| meet(X0,top) = meet(top,X0) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X0,top),complement(join(complement(X0),zero))) ),[1],$fot(meet(top,X0))]]) ).
cnf(refute_0_237,plain,
( meet(X0,top) != complement(join(complement(X0),zero))
| meet(X0,top) = meet(top,X0) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X0),zero)),meet(top,X0)) )],[refute_0_235,refute_0_236]) ).
cnf(refute_0_238,plain,
meet(X0,top) = meet(top,X0),
inference(resolve,[$cnf( $equal(meet(X0,top),complement(join(complement(X0),zero))) )],[refute_0_220,refute_0_237]) ).
cnf(refute_0_239,plain,
meet(X_43,top) = meet(top,X_43),
inference(subst,[],[refute_0_238:[bind(X0,$fot(X_43))]]) ).
cnf(refute_0_240,plain,
( X_43 != join(meet(X_43,top),complement(join(complement(X_43),top)))
| meet(X_43,top) != meet(top,X_43)
| X_43 = join(meet(top,X_43),complement(join(complement(X_43),top))) ),
introduced(tautology,[equality,[$cnf( $equal(X_43,join(meet(X_43,top),complement(join(complement(X_43),top)))) ),[1,0],$fot(meet(top,X_43))]]) ).
cnf(refute_0_241,plain,
( X_43 != join(meet(X_43,top),complement(join(complement(X_43),top)))
| X_43 = join(meet(top,X_43),complement(join(complement(X_43),top))) ),
inference(resolve,[$cnf( $equal(meet(X_43,top),meet(top,X_43)) )],[refute_0_239,refute_0_240]) ).
cnf(refute_0_242,plain,
X_43 = join(meet(top,X_43),complement(join(complement(X_43),top))),
inference(resolve,[$cnf( $equal(X_43,join(meet(X_43,top),complement(join(complement(X_43),top)))) )],[refute_0_216,refute_0_241]) ).
cnf(refute_0_243,plain,
join(meet(top,X_43),zero) = join(zero,meet(top,X_43)),
inference(subst,[],[refute_0_7:[bind(X0,$fot(zero)),bind(X1,$fot(meet(top,X_43)))]]) ).
cnf(refute_0_244,plain,
top = join(join(complement(X_6),complement(X_7)),complement(join(complement(X_6),complement(X_7)))),
inference(subst,[],[refute_0_66:[bind(X0,$fot(join(complement(X_6),complement(X_7))))]]) ).
cnf(refute_0_245,plain,
( complement(join(complement(X_6),complement(X_7))) != meet(X_6,X_7)
| top != join(join(complement(X_6),complement(X_7)),complement(join(complement(X_6),complement(X_7))))
| top = join(join(complement(X_6),complement(X_7)),meet(X_6,X_7)) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(join(complement(X_6),complement(X_7)),complement(join(complement(X_6),complement(X_7))))) ),[1,1],$fot(meet(X_6,X_7))]]) ).
cnf(refute_0_246,plain,
( top != join(join(complement(X_6),complement(X_7)),complement(join(complement(X_6),complement(X_7))))
| top = join(join(complement(X_6),complement(X_7)),meet(X_6,X_7)) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_6),complement(X_7))),meet(X_6,X_7)) )],[refute_0_93,refute_0_245]) ).
cnf(refute_0_247,plain,
top = join(join(complement(X_6),complement(X_7)),meet(X_6,X_7)),
inference(resolve,[$cnf( $equal(top,join(join(complement(X_6),complement(X_7)),complement(join(complement(X_6),complement(X_7))))) )],[refute_0_244,refute_0_246]) ).
cnf(refute_0_248,plain,
join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(canonicalize,[],[normalize_0_23]) ).
cnf(refute_0_249,plain,
( join(X0,join(X1,X2)) != join(join(X0,X1),X2)
| join(join(X0,X1),X2) = join(X0,join(X1,X2)) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(join(X0,join(X1,X2)))),bind(Y,$fot(join(join(X0,X1),X2)))]]) ).
cnf(refute_0_250,plain,
join(join(X0,X1),X2) = join(X0,join(X1,X2)),
inference(resolve,[$cnf( $equal(join(X0,join(X1,X2)),join(join(X0,X1),X2)) )],[refute_0_248,refute_0_249]) ).
cnf(refute_0_251,plain,
join(join(complement(X_6),complement(X_7)),meet(X_6,X_7)) = join(complement(X_6),join(complement(X_7),meet(X_6,X_7))),
inference(subst,[],[refute_0_250:[bind(X0,$fot(complement(X_6))),bind(X1,$fot(complement(X_7))),bind(X2,$fot(meet(X_6,X_7)))]]) ).
cnf(refute_0_252,plain,
( join(join(complement(X_6),complement(X_7)),meet(X_6,X_7)) != join(complement(X_6),join(complement(X_7),meet(X_6,X_7)))
| top != join(join(complement(X_6),complement(X_7)),meet(X_6,X_7))
| top = join(complement(X_6),join(complement(X_7),meet(X_6,X_7))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(join(complement(X_6),complement(X_7)),meet(X_6,X_7))) ),[1],$fot(join(complement(X_6),join(complement(X_7),meet(X_6,X_7))))]]) ).
cnf(refute_0_253,plain,
( top != join(join(complement(X_6),complement(X_7)),meet(X_6,X_7))
| top = join(complement(X_6),join(complement(X_7),meet(X_6,X_7))) ),
inference(resolve,[$cnf( $equal(join(join(complement(X_6),complement(X_7)),meet(X_6,X_7)),join(complement(X_6),join(complement(X_7),meet(X_6,X_7)))) )],[refute_0_251,refute_0_252]) ).
cnf(refute_0_254,plain,
top = join(complement(X_6),join(complement(X_7),meet(X_6,X_7))),
inference(resolve,[$cnf( $equal(top,join(join(complement(X_6),complement(X_7)),meet(X_6,X_7))) )],[refute_0_247,refute_0_253]) ).
cnf(refute_0_255,plain,
top = join(complement(X_7),join(complement(X_7),meet(X_7,X_7))),
inference(subst,[],[refute_0_254:[bind(X_6,$fot(X_7))]]) ).
cnf(refute_0_256,plain,
meet(X_7,X_7) = complement(complement(X_7)),
inference(subst,[],[refute_0_192:[bind(X1,$fot(X_7))]]) ).
cnf(refute_0_257,plain,
( meet(X_7,X_7) != complement(complement(X_7))
| top != join(complement(X_7),join(complement(X_7),meet(X_7,X_7)))
| top = join(complement(X_7),join(complement(X_7),complement(complement(X_7)))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(X_7),join(complement(X_7),meet(X_7,X_7)))) ),[1,1,1],$fot(complement(complement(X_7)))]]) ).
cnf(refute_0_258,plain,
( top != join(complement(X_7),join(complement(X_7),meet(X_7,X_7)))
| top = join(complement(X_7),join(complement(X_7),complement(complement(X_7)))) ),
inference(resolve,[$cnf( $equal(meet(X_7,X_7),complement(complement(X_7))) )],[refute_0_256,refute_0_257]) ).
cnf(refute_0_259,plain,
top = join(complement(X_7),join(complement(X_7),complement(complement(X_7)))),
inference(resolve,[$cnf( $equal(top,join(complement(X_7),join(complement(X_7),meet(X_7,X_7)))) )],[refute_0_255,refute_0_258]) ).
cnf(refute_0_260,plain,
join(complement(X_7),top) = join(top,complement(X_7)),
inference(subst,[],[refute_0_7:[bind(X0,$fot(top)),bind(X1,$fot(complement(X_7)))]]) ).
cnf(refute_0_261,plain,
join(complement(X_7),complement(complement(X_7))) = top,
inference(subst,[],[refute_0_98:[bind(X0,$fot(complement(X_7)))]]) ).
cnf(refute_0_262,plain,
join(complement(X_7),join(complement(X_7),complement(complement(X_7)))) = join(complement(X_7),join(complement(X_7),complement(complement(X_7)))),
introduced(tautology,[refl,[$fot(join(complement(X_7),join(complement(X_7),complement(complement(X_7)))))]]) ).
cnf(refute_0_263,plain,
( join(complement(X_7),complement(complement(X_7))) != top
| join(complement(X_7),join(complement(X_7),complement(complement(X_7)))) != join(complement(X_7),join(complement(X_7),complement(complement(X_7))))
| join(complement(X_7),join(complement(X_7),complement(complement(X_7)))) = join(complement(X_7),top) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_7),join(complement(X_7),complement(complement(X_7)))),join(complement(X_7),join(complement(X_7),complement(complement(X_7))))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_264,plain,
( join(complement(X_7),complement(complement(X_7))) != top
| join(complement(X_7),join(complement(X_7),complement(complement(X_7)))) = join(complement(X_7),top) ),
inference(resolve,[$cnf( $equal(join(complement(X_7),join(complement(X_7),complement(complement(X_7)))),join(complement(X_7),join(complement(X_7),complement(complement(X_7))))) )],[refute_0_262,refute_0_263]) ).
cnf(refute_0_265,plain,
join(complement(X_7),join(complement(X_7),complement(complement(X_7)))) = join(complement(X_7),top),
inference(resolve,[$cnf( $equal(join(complement(X_7),complement(complement(X_7))),top) )],[refute_0_261,refute_0_264]) ).
cnf(refute_0_266,plain,
( join(complement(X_7),join(complement(X_7),complement(complement(X_7)))) != join(complement(X_7),top)
| join(complement(X_7),top) != join(top,complement(X_7))
| join(complement(X_7),join(complement(X_7),complement(complement(X_7)))) = join(top,complement(X_7)) ),
inference(subst,[],[refute_0_21:[bind(X,$fot(join(complement(X_7),join(complement(X_7),complement(complement(X_7)))))),bind(Y,$fot(join(complement(X_7),top))),bind(Z,$fot(join(top,complement(X_7))))]]) ).
cnf(refute_0_267,plain,
( join(complement(X_7),top) != join(top,complement(X_7))
| join(complement(X_7),join(complement(X_7),complement(complement(X_7)))) = join(top,complement(X_7)) ),
inference(resolve,[$cnf( $equal(join(complement(X_7),join(complement(X_7),complement(complement(X_7)))),join(complement(X_7),top)) )],[refute_0_265,refute_0_266]) ).
cnf(refute_0_268,plain,
join(complement(X_7),join(complement(X_7),complement(complement(X_7)))) = join(top,complement(X_7)),
inference(resolve,[$cnf( $equal(join(complement(X_7),top),join(top,complement(X_7))) )],[refute_0_260,refute_0_267]) ).
cnf(refute_0_269,plain,
( join(complement(X_7),join(complement(X_7),complement(complement(X_7)))) != join(top,complement(X_7))
| top != join(complement(X_7),join(complement(X_7),complement(complement(X_7))))
| top = join(top,complement(X_7)) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(X_7),join(complement(X_7),complement(complement(X_7))))) ),[1],$fot(join(top,complement(X_7)))]]) ).
cnf(refute_0_270,plain,
( top != join(complement(X_7),join(complement(X_7),complement(complement(X_7))))
| top = join(top,complement(X_7)) ),
inference(resolve,[$cnf( $equal(join(complement(X_7),join(complement(X_7),complement(complement(X_7)))),join(top,complement(X_7))) )],[refute_0_268,refute_0_269]) ).
cnf(refute_0_271,plain,
top = join(top,complement(X_7)),
inference(resolve,[$cnf( $equal(top,join(complement(X_7),join(complement(X_7),complement(complement(X_7))))) )],[refute_0_259,refute_0_270]) ).
cnf(refute_0_272,plain,
( top != join(top,complement(X_7))
| join(top,complement(X_7)) = top ),
inference(subst,[],[refute_0_5:[bind(X,$fot(top)),bind(Y,$fot(join(top,complement(X_7))))]]) ).
cnf(refute_0_273,plain,
join(top,complement(X_7)) = top,
inference(resolve,[$cnf( $equal(top,join(top,complement(X_7))) )],[refute_0_271,refute_0_272]) ).
cnf(refute_0_274,plain,
join(top,complement(X_43)) = top,
inference(subst,[],[refute_0_273:[bind(X_7,$fot(X_43))]]) ).
cnf(refute_0_275,plain,
join(complement(X_43),top) = join(top,complement(X_43)),
inference(subst,[],[refute_0_7:[bind(X0,$fot(top)),bind(X1,$fot(complement(X_43)))]]) ).
cnf(refute_0_276,plain,
( join(complement(X_43),top) != join(top,complement(X_43))
| join(top,complement(X_43)) != top
| join(complement(X_43),top) = top ),
inference(subst,[],[refute_0_21:[bind(X,$fot(join(complement(X_43),top))),bind(Y,$fot(join(top,complement(X_43)))),bind(Z,$fot(top))]]) ).
cnf(refute_0_277,plain,
( join(top,complement(X_43)) != top
| join(complement(X_43),top) = top ),
inference(resolve,[$cnf( $equal(join(complement(X_43),top),join(top,complement(X_43))) )],[refute_0_275,refute_0_276]) ).
cnf(refute_0_278,plain,
join(complement(X_43),top) = top,
inference(resolve,[$cnf( $equal(join(top,complement(X_43)),top) )],[refute_0_274,refute_0_277]) ).
cnf(refute_0_279,plain,
complement(join(complement(X_43),top)) = complement(join(complement(X_43),top)),
introduced(tautology,[refl,[$fot(complement(join(complement(X_43),top)))]]) ).
cnf(refute_0_280,plain,
( complement(join(complement(X_43),top)) != complement(join(complement(X_43),top))
| join(complement(X_43),top) != top
| complement(join(complement(X_43),top)) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(X_43),top)),complement(join(complement(X_43),top))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_281,plain,
( join(complement(X_43),top) != top
| complement(join(complement(X_43),top)) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_43),top)),complement(join(complement(X_43),top))) )],[refute_0_279,refute_0_280]) ).
cnf(refute_0_282,plain,
complement(join(complement(X_43),top)) = complement(top),
inference(resolve,[$cnf( $equal(join(complement(X_43),top),top) )],[refute_0_278,refute_0_281]) ).
cnf(refute_0_283,plain,
( complement(join(complement(X_43),top)) != complement(top)
| complement(top) != zero
| complement(join(complement(X_43),top)) = zero ),
inference(subst,[],[refute_0_21:[bind(X,$fot(complement(join(complement(X_43),top)))),bind(Y,$fot(complement(top))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_284,plain,
( complement(top) != zero
| complement(join(complement(X_43),top)) = zero ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_43),top)),complement(top)) )],[refute_0_282,refute_0_283]) ).
cnf(refute_0_285,plain,
complement(join(complement(X_43),top)) = zero,
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_116,refute_0_284]) ).
cnf(refute_0_286,plain,
join(meet(top,X_43),complement(join(complement(X_43),top))) = join(meet(top,X_43),complement(join(complement(X_43),top))),
introduced(tautology,[refl,[$fot(join(meet(top,X_43),complement(join(complement(X_43),top))))]]) ).
cnf(refute_0_287,plain,
( complement(join(complement(X_43),top)) != zero
| join(meet(top,X_43),complement(join(complement(X_43),top))) != join(meet(top,X_43),complement(join(complement(X_43),top)))
| join(meet(top,X_43),complement(join(complement(X_43),top))) = join(meet(top,X_43),zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(top,X_43),complement(join(complement(X_43),top))),join(meet(top,X_43),complement(join(complement(X_43),top)))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_288,plain,
( complement(join(complement(X_43),top)) != zero
| join(meet(top,X_43),complement(join(complement(X_43),top))) = join(meet(top,X_43),zero) ),
inference(resolve,[$cnf( $equal(join(meet(top,X_43),complement(join(complement(X_43),top))),join(meet(top,X_43),complement(join(complement(X_43),top)))) )],[refute_0_286,refute_0_287]) ).
cnf(refute_0_289,plain,
join(meet(top,X_43),complement(join(complement(X_43),top))) = join(meet(top,X_43),zero),
inference(resolve,[$cnf( $equal(complement(join(complement(X_43),top)),zero) )],[refute_0_285,refute_0_288]) ).
cnf(refute_0_290,plain,
( join(meet(top,X_43),complement(join(complement(X_43),top))) != join(meet(top,X_43),zero)
| join(meet(top,X_43),zero) != join(zero,meet(top,X_43))
| join(meet(top,X_43),complement(join(complement(X_43),top))) = join(zero,meet(top,X_43)) ),
inference(subst,[],[refute_0_21:[bind(X,$fot(join(meet(top,X_43),complement(join(complement(X_43),top))))),bind(Y,$fot(join(meet(top,X_43),zero))),bind(Z,$fot(join(zero,meet(top,X_43))))]]) ).
cnf(refute_0_291,plain,
( join(meet(top,X_43),zero) != join(zero,meet(top,X_43))
| join(meet(top,X_43),complement(join(complement(X_43),top))) = join(zero,meet(top,X_43)) ),
inference(resolve,[$cnf( $equal(join(meet(top,X_43),complement(join(complement(X_43),top))),join(meet(top,X_43),zero)) )],[refute_0_289,refute_0_290]) ).
cnf(refute_0_292,plain,
join(meet(top,X_43),complement(join(complement(X_43),top))) = join(zero,meet(top,X_43)),
inference(resolve,[$cnf( $equal(join(meet(top,X_43),zero),join(zero,meet(top,X_43))) )],[refute_0_243,refute_0_291]) ).
cnf(refute_0_293,plain,
( X_43 != join(meet(top,X_43),complement(join(complement(X_43),top)))
| join(meet(top,X_43),complement(join(complement(X_43),top))) != join(zero,meet(top,X_43))
| X_43 = join(zero,meet(top,X_43)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_43,join(zero,meet(top,X_43))) ),[0],$fot(join(meet(top,X_43),complement(join(complement(X_43),top))))]]) ).
cnf(refute_0_294,plain,
( X_43 != join(meet(top,X_43),complement(join(complement(X_43),top)))
| X_43 = join(zero,meet(top,X_43)) ),
inference(resolve,[$cnf( $equal(join(meet(top,X_43),complement(join(complement(X_43),top))),join(zero,meet(top,X_43))) )],[refute_0_292,refute_0_293]) ).
cnf(refute_0_295,plain,
X_43 = join(zero,meet(top,X_43)),
inference(resolve,[$cnf( $equal(X_43,join(meet(top,X_43),complement(join(complement(X_43),top)))) )],[refute_0_242,refute_0_294]) ).
cnf(refute_0_296,plain,
complement(X_48) = join(zero,meet(top,complement(X_48))),
inference(subst,[],[refute_0_295:[bind(X_43,$fot(complement(X_48)))]]) ).
cnf(refute_0_297,plain,
meet(top,complement(X_45)) = complement(join(zero,complement(complement(X_45)))),
inference(subst,[],[refute_0_224:[bind(X1,$fot(complement(X_45)))]]) ).
cnf(refute_0_298,plain,
X_45 = join(zero,complement(complement(X_45))),
inference(subst,[],[refute_0_215:[bind(X_43,$fot(X_45))]]) ).
cnf(refute_0_299,plain,
( X_45 != join(zero,complement(complement(X_45)))
| join(zero,complement(complement(X_45))) = X_45 ),
inference(subst,[],[refute_0_5:[bind(X,$fot(X_45)),bind(Y,$fot(join(zero,complement(complement(X_45)))))]]) ).
cnf(refute_0_300,plain,
join(zero,complement(complement(X_45))) = X_45,
inference(resolve,[$cnf( $equal(X_45,join(zero,complement(complement(X_45)))) )],[refute_0_298,refute_0_299]) ).
cnf(refute_0_301,plain,
( join(zero,complement(complement(X_45))) != X_45
| meet(top,complement(X_45)) != complement(join(zero,complement(complement(X_45))))
| meet(top,complement(X_45)) = complement(X_45) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,complement(X_45)),complement(join(zero,complement(complement(X_45))))) ),[1,0],$fot(X_45)]]) ).
cnf(refute_0_302,plain,
( meet(top,complement(X_45)) != complement(join(zero,complement(complement(X_45))))
| meet(top,complement(X_45)) = complement(X_45) ),
inference(resolve,[$cnf( $equal(join(zero,complement(complement(X_45))),X_45) )],[refute_0_300,refute_0_301]) ).
cnf(refute_0_303,plain,
meet(top,complement(X_45)) = complement(X_45),
inference(resolve,[$cnf( $equal(meet(top,complement(X_45)),complement(join(zero,complement(complement(X_45))))) )],[refute_0_297,refute_0_302]) ).
cnf(refute_0_304,plain,
meet(top,complement(X_48)) = complement(X_48),
inference(subst,[],[refute_0_303:[bind(X_45,$fot(X_48))]]) ).
cnf(refute_0_305,plain,
( complement(X_48) != join(zero,meet(top,complement(X_48)))
| meet(top,complement(X_48)) != complement(X_48)
| complement(X_48) = join(zero,complement(X_48)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(X_48),join(zero,meet(top,complement(X_48)))) ),[1,1],$fot(complement(X_48))]]) ).
cnf(refute_0_306,plain,
( complement(X_48) != join(zero,meet(top,complement(X_48)))
| complement(X_48) = join(zero,complement(X_48)) ),
inference(resolve,[$cnf( $equal(meet(top,complement(X_48)),complement(X_48)) )],[refute_0_304,refute_0_305]) ).
cnf(refute_0_307,plain,
complement(X_48) = join(zero,complement(X_48)),
inference(resolve,[$cnf( $equal(complement(X_48),join(zero,meet(top,complement(X_48)))) )],[refute_0_296,refute_0_306]) ).
cnf(refute_0_308,plain,
( complement(X_48) != join(zero,complement(X_48))
| join(zero,complement(X_48)) = complement(X_48) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(complement(X_48))),bind(Y,$fot(join(zero,complement(X_48))))]]) ).
cnf(refute_0_309,plain,
join(zero,complement(X_48)) = complement(X_48),
inference(resolve,[$cnf( $equal(complement(X_48),join(zero,complement(X_48))) )],[refute_0_307,refute_0_308]) ).
cnf(refute_0_310,plain,
join(zero,complement(complement(X_43))) = complement(complement(X_43)),
inference(subst,[],[refute_0_309:[bind(X_48,$fot(complement(X_43)))]]) ).
cnf(refute_0_311,plain,
( X_43 != join(zero,complement(complement(X_43)))
| join(zero,complement(complement(X_43))) != complement(complement(X_43))
| X_43 = complement(complement(X_43)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_43,complement(complement(X_43))) ),[0],$fot(join(zero,complement(complement(X_43))))]]) ).
cnf(refute_0_312,plain,
( X_43 != join(zero,complement(complement(X_43)))
| X_43 = complement(complement(X_43)) ),
inference(resolve,[$cnf( $equal(join(zero,complement(complement(X_43))),complement(complement(X_43))) )],[refute_0_310,refute_0_311]) ).
cnf(refute_0_313,plain,
X_43 = complement(complement(X_43)),
inference(resolve,[$cnf( $equal(X_43,join(zero,complement(complement(X_43)))) )],[refute_0_215,refute_0_312]) ).
cnf(refute_0_314,plain,
( X_43 != complement(complement(X_43))
| complement(complement(X_43)) = X_43 ),
inference(subst,[],[refute_0_5:[bind(X,$fot(X_43)),bind(Y,$fot(complement(complement(X_43))))]]) ).
cnf(refute_0_315,plain,
complement(complement(X_43)) = X_43,
inference(resolve,[$cnf( $equal(X_43,complement(complement(X_43))) )],[refute_0_313,refute_0_314]) ).
cnf(refute_0_316,plain,
complement(complement(X1)) = X1,
inference(subst,[],[refute_0_315:[bind(X_43,$fot(X1))]]) ).
cnf(refute_0_317,plain,
( complement(complement(X1)) != X1
| meet(X1,X1) != complement(complement(X1))
| meet(X1,X1) = X1 ),
introduced(tautology,[equality,[$cnf( $equal(meet(X1,X1),complement(complement(X1))) ),[1],$fot(X1)]]) ).
cnf(refute_0_318,plain,
( meet(X1,X1) != complement(complement(X1))
| meet(X1,X1) = X1 ),
inference(resolve,[$cnf( $equal(complement(complement(X1)),X1) )],[refute_0_316,refute_0_317]) ).
cnf(refute_0_319,plain,
meet(X1,X1) = X1,
inference(resolve,[$cnf( $equal(meet(X1,X1),complement(complement(X1))) )],[refute_0_192,refute_0_318]) ).
cnf(refute_0_320,plain,
meet(X_43,X_43) = X_43,
inference(subst,[],[refute_0_319:[bind(X1,$fot(X_43))]]) ).
cnf(refute_0_321,plain,
meet(X_43,complement(complement(X_43))) = meet(X_43,complement(complement(X_43))),
introduced(tautology,[refl,[$fot(meet(X_43,complement(complement(X_43))))]]) ).
cnf(refute_0_322,plain,
( complement(complement(X_43)) != X_43
| meet(X_43,complement(complement(X_43))) != meet(X_43,complement(complement(X_43)))
| meet(X_43,complement(complement(X_43))) = meet(X_43,X_43) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_43,complement(complement(X_43))),meet(X_43,complement(complement(X_43)))) ),[1,1],$fot(X_43)]]) ).
cnf(refute_0_323,plain,
( complement(complement(X_43)) != X_43
| meet(X_43,complement(complement(X_43))) = meet(X_43,X_43) ),
inference(resolve,[$cnf( $equal(meet(X_43,complement(complement(X_43))),meet(X_43,complement(complement(X_43)))) )],[refute_0_321,refute_0_322]) ).
cnf(refute_0_324,plain,
meet(X_43,complement(complement(X_43))) = meet(X_43,X_43),
inference(resolve,[$cnf( $equal(complement(complement(X_43)),X_43) )],[refute_0_315,refute_0_323]) ).
cnf(refute_0_325,plain,
( meet(X_43,X_43) != X_43
| meet(X_43,complement(complement(X_43))) != meet(X_43,X_43)
| meet(X_43,complement(complement(X_43))) = X_43 ),
inference(subst,[],[refute_0_21:[bind(X,$fot(meet(X_43,complement(complement(X_43))))),bind(Y,$fot(meet(X_43,X_43))),bind(Z,$fot(X_43))]]) ).
cnf(refute_0_326,plain,
( meet(X_43,X_43) != X_43
| meet(X_43,complement(complement(X_43))) = X_43 ),
inference(resolve,[$cnf( $equal(meet(X_43,complement(complement(X_43))),meet(X_43,X_43)) )],[refute_0_324,refute_0_325]) ).
cnf(refute_0_327,plain,
meet(X_43,complement(complement(X_43))) = X_43,
inference(resolve,[$cnf( $equal(meet(X_43,X_43),X_43) )],[refute_0_320,refute_0_326]) ).
cnf(refute_0_328,plain,
join(zero,meet(X_43,complement(complement(X_43)))) = join(zero,meet(X_43,complement(complement(X_43)))),
introduced(tautology,[refl,[$fot(join(zero,meet(X_43,complement(complement(X_43)))))]]) ).
cnf(refute_0_329,plain,
( join(zero,meet(X_43,complement(complement(X_43)))) != join(zero,meet(X_43,complement(complement(X_43))))
| meet(X_43,complement(complement(X_43))) != X_43
| join(zero,meet(X_43,complement(complement(X_43)))) = join(zero,X_43) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(X_43,complement(complement(X_43)))),join(zero,meet(X_43,complement(complement(X_43))))) ),[1,1],$fot(X_43)]]) ).
cnf(refute_0_330,plain,
( meet(X_43,complement(complement(X_43))) != X_43
| join(zero,meet(X_43,complement(complement(X_43)))) = join(zero,X_43) ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_43,complement(complement(X_43)))),join(zero,meet(X_43,complement(complement(X_43))))) )],[refute_0_328,refute_0_329]) ).
cnf(refute_0_331,plain,
join(zero,meet(X_43,complement(complement(X_43)))) = join(zero,X_43),
inference(resolve,[$cnf( $equal(meet(X_43,complement(complement(X_43))),X_43) )],[refute_0_327,refute_0_330]) ).
cnf(refute_0_332,plain,
( X_43 != join(zero,meet(X_43,complement(complement(X_43))))
| join(zero,meet(X_43,complement(complement(X_43)))) != join(zero,X_43)
| X_43 = join(zero,X_43) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_43,join(zero,X_43)) ),[0],$fot(join(zero,meet(X_43,complement(complement(X_43)))))]]) ).
cnf(refute_0_333,plain,
( X_43 != join(zero,meet(X_43,complement(complement(X_43))))
| X_43 = join(zero,X_43) ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_43,complement(complement(X_43)))),join(zero,X_43)) )],[refute_0_331,refute_0_332]) ).
cnf(refute_0_334,plain,
X_43 = join(zero,X_43),
inference(resolve,[$cnf( $equal(X_43,join(zero,meet(X_43,complement(complement(X_43))))) )],[refute_0_127,refute_0_333]) ).
cnf(refute_0_335,plain,
( X_43 != join(zero,X_43)
| join(zero,X_43) = X_43 ),
inference(subst,[],[refute_0_5:[bind(X,$fot(X_43)),bind(Y,$fot(join(zero,X_43)))]]) ).
cnf(refute_0_336,plain,
join(zero,X_43) = X_43,
inference(resolve,[$cnf( $equal(X_43,join(zero,X_43)) )],[refute_0_334,refute_0_335]) ).
cnf(refute_0_337,plain,
join(zero,meet(X_43,converse(complement(converse(complement(X_43)))))) = meet(X_43,converse(complement(converse(complement(X_43))))),
inference(subst,[],[refute_0_336:[bind(X_43,$fot(meet(X_43,converse(complement(converse(complement(X_43)))))))]]) ).
cnf(refute_0_338,plain,
converse(top) = join(meet(converse(top),meet(zero,converse(complement(converse(top))))),complement(join(complement(converse(top)),meet(zero,converse(complement(converse(top))))))),
inference(subst,[],[refute_0_27:[bind(X0,$fot(converse(top))),bind(X1,$fot(meet(zero,converse(complement(converse(top))))))]]) ).
cnf(refute_0_339,plain,
zero = join(complement(converse(top)),meet(zero,converse(complement(converse(complement(zero)))))),
inference(subst,[],[refute_0_82:[bind(X_43,$fot(zero))]]) ).
cnf(refute_0_340,plain,
top = join(zero,complement(zero)),
inference(subst,[],[refute_0_66:[bind(X0,$fot(zero))]]) ).
cnf(refute_0_341,plain,
complement(zero) = join(zero,complement(zero)),
inference(subst,[],[refute_0_334:[bind(X_43,$fot(complement(zero)))]]) ).
cnf(refute_0_342,plain,
( complement(zero) != join(zero,complement(zero))
| join(zero,complement(zero)) = complement(zero) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(complement(zero))),bind(Y,$fot(join(zero,complement(zero))))]]) ).
cnf(refute_0_343,plain,
join(zero,complement(zero)) = complement(zero),
inference(resolve,[$cnf( $equal(complement(zero),join(zero,complement(zero))) )],[refute_0_341,refute_0_342]) ).
cnf(refute_0_344,plain,
( join(zero,complement(zero)) != complement(zero)
| top != join(zero,complement(zero))
| top = complement(zero) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(zero,complement(zero))) ),[1],$fot(complement(zero))]]) ).
cnf(refute_0_345,plain,
( top != join(zero,complement(zero))
| top = complement(zero) ),
inference(resolve,[$cnf( $equal(join(zero,complement(zero)),complement(zero)) )],[refute_0_343,refute_0_344]) ).
cnf(refute_0_346,plain,
top = complement(zero),
inference(resolve,[$cnf( $equal(top,join(zero,complement(zero))) )],[refute_0_340,refute_0_345]) ).
cnf(refute_0_347,plain,
( top != complement(zero)
| complement(zero) = top ),
inference(subst,[],[refute_0_5:[bind(X,$fot(top)),bind(Y,$fot(complement(zero)))]]) ).
cnf(refute_0_348,plain,
complement(zero) = top,
inference(resolve,[$cnf( $equal(top,complement(zero)) )],[refute_0_346,refute_0_347]) ).
cnf(refute_0_349,plain,
( complement(zero) != top
| zero != join(complement(converse(top)),meet(zero,converse(complement(converse(complement(zero))))))
| zero = join(complement(converse(top)),meet(zero,converse(complement(converse(top))))) ),
introduced(tautology,[equality,[$cnf( $equal(zero,join(complement(converse(top)),meet(zero,converse(complement(converse(complement(zero))))))) ),[1,1,1,0,0,0],$fot(top)]]) ).
cnf(refute_0_350,plain,
( zero != join(complement(converse(top)),meet(zero,converse(complement(converse(complement(zero))))))
| zero = join(complement(converse(top)),meet(zero,converse(complement(converse(top))))) ),
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_348,refute_0_349]) ).
cnf(refute_0_351,plain,
zero = join(complement(converse(top)),meet(zero,converse(complement(converse(top))))),
inference(resolve,[$cnf( $equal(zero,join(complement(converse(top)),meet(zero,converse(complement(converse(complement(zero))))))) )],[refute_0_339,refute_0_350]) ).
cnf(refute_0_352,plain,
( zero != join(complement(converse(top)),meet(zero,converse(complement(converse(top)))))
| join(complement(converse(top)),meet(zero,converse(complement(converse(top))))) = zero ),
inference(subst,[],[refute_0_5:[bind(X,$fot(zero)),bind(Y,$fot(join(complement(converse(top)),meet(zero,converse(complement(converse(top)))))))]]) ).
cnf(refute_0_353,plain,
join(complement(converse(top)),meet(zero,converse(complement(converse(top))))) = zero,
inference(resolve,[$cnf( $equal(zero,join(complement(converse(top)),meet(zero,converse(complement(converse(top)))))) )],[refute_0_351,refute_0_352]) ).
cnf(refute_0_354,plain,
( converse(top) != join(meet(converse(top),meet(zero,converse(complement(converse(top))))),complement(join(complement(converse(top)),meet(zero,converse(complement(converse(top)))))))
| join(complement(converse(top)),meet(zero,converse(complement(converse(top))))) != zero
| converse(top) = join(meet(converse(top),meet(zero,converse(complement(converse(top))))),complement(zero)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(top),join(meet(converse(top),meet(zero,converse(complement(converse(top))))),complement(join(complement(converse(top)),meet(zero,converse(complement(converse(top)))))))) ),[1,1,0],$fot(zero)]]) ).
cnf(refute_0_355,plain,
( converse(top) != join(meet(converse(top),meet(zero,converse(complement(converse(top))))),complement(join(complement(converse(top)),meet(zero,converse(complement(converse(top)))))))
| converse(top) = join(meet(converse(top),meet(zero,converse(complement(converse(top))))),complement(zero)) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),meet(zero,converse(complement(converse(top))))),zero) )],[refute_0_353,refute_0_354]) ).
cnf(refute_0_356,plain,
converse(top) = join(meet(converse(top),meet(zero,converse(complement(converse(top))))),complement(zero)),
inference(resolve,[$cnf( $equal(converse(top),join(meet(converse(top),meet(zero,converse(complement(converse(top))))),complement(join(complement(converse(top)),meet(zero,converse(complement(converse(top)))))))) )],[refute_0_338,refute_0_355]) ).
cnf(refute_0_357,plain,
top = join(top,complement(join(complement(X0),complement(X1)))),
inference(subst,[],[refute_0_271:[bind(X_7,$fot(join(complement(X0),complement(X1))))]]) ).
cnf(refute_0_358,plain,
( complement(join(complement(X0),complement(X1))) != meet(X0,X1)
| top != join(top,complement(join(complement(X0),complement(X1))))
| top = join(top,meet(X0,X1)) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(top,complement(join(complement(X0),complement(X1))))) ),[1,1],$fot(meet(X0,X1))]]) ).
cnf(refute_0_359,plain,
( top != join(top,complement(join(complement(X0),complement(X1))))
| top = join(top,meet(X0,X1)) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X0),complement(X1))),meet(X0,X1)) )],[refute_0_15,refute_0_358]) ).
cnf(refute_0_360,plain,
top = join(top,meet(X0,X1)),
inference(resolve,[$cnf( $equal(top,join(top,complement(join(complement(X0),complement(X1))))) )],[refute_0_357,refute_0_359]) ).
cnf(refute_0_361,plain,
( top != join(top,meet(X0,X1))
| join(top,meet(X0,X1)) = top ),
inference(subst,[],[refute_0_5:[bind(X,$fot(top)),bind(Y,$fot(join(top,meet(X0,X1))))]]) ).
cnf(refute_0_362,plain,
join(top,meet(X0,X1)) = top,
inference(resolve,[$cnf( $equal(top,join(top,meet(X0,X1))) )],[refute_0_360,refute_0_361]) ).
cnf(refute_0_363,plain,
join(top,meet(converse(top),meet(zero,converse(complement(converse(top)))))) = top,
inference(subst,[],[refute_0_362:[bind(X0,$fot(converse(top))),bind(X1,$fot(meet(zero,converse(complement(converse(top))))))]]) ).
cnf(refute_0_364,plain,
join(complement(zero),meet(converse(top),meet(zero,converse(complement(converse(top)))))) = join(complement(zero),meet(converse(top),meet(zero,converse(complement(converse(top)))))),
introduced(tautology,[refl,[$fot(join(complement(zero),meet(converse(top),meet(zero,converse(complement(converse(top)))))))]]) ).
cnf(refute_0_365,plain,
( complement(zero) != top
| join(complement(zero),meet(converse(top),meet(zero,converse(complement(converse(top)))))) != join(complement(zero),meet(converse(top),meet(zero,converse(complement(converse(top))))))
| join(complement(zero),meet(converse(top),meet(zero,converse(complement(converse(top)))))) = join(top,meet(converse(top),meet(zero,converse(complement(converse(top)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(zero),meet(converse(top),meet(zero,converse(complement(converse(top)))))),join(complement(zero),meet(converse(top),meet(zero,converse(complement(converse(top))))))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_366,plain,
( complement(zero) != top
| join(complement(zero),meet(converse(top),meet(zero,converse(complement(converse(top)))))) = join(top,meet(converse(top),meet(zero,converse(complement(converse(top)))))) ),
inference(resolve,[$cnf( $equal(join(complement(zero),meet(converse(top),meet(zero,converse(complement(converse(top)))))),join(complement(zero),meet(converse(top),meet(zero,converse(complement(converse(top))))))) )],[refute_0_364,refute_0_365]) ).
cnf(refute_0_367,plain,
join(complement(zero),meet(converse(top),meet(zero,converse(complement(converse(top)))))) = join(top,meet(converse(top),meet(zero,converse(complement(converse(top)))))),
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_348,refute_0_366]) ).
cnf(refute_0_368,plain,
( join(complement(zero),meet(converse(top),meet(zero,converse(complement(converse(top)))))) != join(top,meet(converse(top),meet(zero,converse(complement(converse(top))))))
| join(top,meet(converse(top),meet(zero,converse(complement(converse(top)))))) != top
| join(complement(zero),meet(converse(top),meet(zero,converse(complement(converse(top)))))) = top ),
inference(subst,[],[refute_0_21:[bind(X,$fot(join(complement(zero),meet(converse(top),meet(zero,converse(complement(converse(top)))))))),bind(Y,$fot(join(top,meet(converse(top),meet(zero,converse(complement(converse(top)))))))),bind(Z,$fot(top))]]) ).
cnf(refute_0_369,plain,
( join(top,meet(converse(top),meet(zero,converse(complement(converse(top)))))) != top
| join(complement(zero),meet(converse(top),meet(zero,converse(complement(converse(top)))))) = top ),
inference(resolve,[$cnf( $equal(join(complement(zero),meet(converse(top),meet(zero,converse(complement(converse(top)))))),join(top,meet(converse(top),meet(zero,converse(complement(converse(top))))))) )],[refute_0_367,refute_0_368]) ).
cnf(refute_0_370,plain,
join(complement(zero),meet(converse(top),meet(zero,converse(complement(converse(top)))))) = top,
inference(resolve,[$cnf( $equal(join(top,meet(converse(top),meet(zero,converse(complement(converse(top)))))),top) )],[refute_0_363,refute_0_369]) ).
cnf(refute_0_371,plain,
join(meet(converse(top),meet(zero,converse(complement(converse(top))))),complement(zero)) = join(complement(zero),meet(converse(top),meet(zero,converse(complement(converse(top)))))),
inference(subst,[],[refute_0_7:[bind(X0,$fot(complement(zero))),bind(X1,$fot(meet(converse(top),meet(zero,converse(complement(converse(top)))))))]]) ).
cnf(refute_0_372,plain,
( join(complement(zero),meet(converse(top),meet(zero,converse(complement(converse(top)))))) != top
| join(meet(converse(top),meet(zero,converse(complement(converse(top))))),complement(zero)) != join(complement(zero),meet(converse(top),meet(zero,converse(complement(converse(top))))))
| join(meet(converse(top),meet(zero,converse(complement(converse(top))))),complement(zero)) = top ),
inference(subst,[],[refute_0_21:[bind(X,$fot(join(meet(converse(top),meet(zero,converse(complement(converse(top))))),complement(zero)))),bind(Y,$fot(join(complement(zero),meet(converse(top),meet(zero,converse(complement(converse(top)))))))),bind(Z,$fot(top))]]) ).
cnf(refute_0_373,plain,
( join(complement(zero),meet(converse(top),meet(zero,converse(complement(converse(top)))))) != top
| join(meet(converse(top),meet(zero,converse(complement(converse(top))))),complement(zero)) = top ),
inference(resolve,[$cnf( $equal(join(meet(converse(top),meet(zero,converse(complement(converse(top))))),complement(zero)),join(complement(zero),meet(converse(top),meet(zero,converse(complement(converse(top))))))) )],[refute_0_371,refute_0_372]) ).
cnf(refute_0_374,plain,
join(meet(converse(top),meet(zero,converse(complement(converse(top))))),complement(zero)) = top,
inference(resolve,[$cnf( $equal(join(complement(zero),meet(converse(top),meet(zero,converse(complement(converse(top)))))),top) )],[refute_0_370,refute_0_373]) ).
cnf(refute_0_375,plain,
( converse(top) != join(meet(converse(top),meet(zero,converse(complement(converse(top))))),complement(zero))
| join(meet(converse(top),meet(zero,converse(complement(converse(top))))),complement(zero)) != top
| converse(top) = top ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(top),top) ),[0],$fot(join(meet(converse(top),meet(zero,converse(complement(converse(top))))),complement(zero)))]]) ).
cnf(refute_0_376,plain,
( converse(top) != join(meet(converse(top),meet(zero,converse(complement(converse(top))))),complement(zero))
| converse(top) = top ),
inference(resolve,[$cnf( $equal(join(meet(converse(top),meet(zero,converse(complement(converse(top))))),complement(zero)),top) )],[refute_0_374,refute_0_375]) ).
cnf(refute_0_377,plain,
converse(top) = top,
inference(resolve,[$cnf( $equal(converse(top),join(meet(converse(top),meet(zero,converse(complement(converse(top))))),complement(zero))) )],[refute_0_356,refute_0_376]) ).
cnf(refute_0_378,plain,
complement(converse(top)) = complement(converse(top)),
introduced(tautology,[refl,[$fot(complement(converse(top)))]]) ).
cnf(refute_0_379,plain,
( complement(converse(top)) != complement(converse(top))
| converse(top) != top
| complement(converse(top)) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(top)),complement(converse(top))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_380,plain,
( converse(top) != top
| complement(converse(top)) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(converse(top)),complement(converse(top))) )],[refute_0_378,refute_0_379]) ).
cnf(refute_0_381,plain,
complement(converse(top)) = complement(top),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_377,refute_0_380]) ).
cnf(refute_0_382,plain,
( complement(converse(top)) != complement(top)
| complement(top) != zero
| complement(converse(top)) = zero ),
inference(subst,[],[refute_0_21:[bind(X,$fot(complement(converse(top)))),bind(Y,$fot(complement(top))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_383,plain,
( complement(top) != zero
| complement(converse(top)) = zero ),
inference(resolve,[$cnf( $equal(complement(converse(top)),complement(top)) )],[refute_0_381,refute_0_382]) ).
cnf(refute_0_384,plain,
complement(converse(top)) = zero,
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_116,refute_0_383]) ).
cnf(refute_0_385,plain,
join(complement(converse(top)),meet(X_43,converse(complement(converse(complement(X_43)))))) = join(complement(converse(top)),meet(X_43,converse(complement(converse(complement(X_43)))))),
introduced(tautology,[refl,[$fot(join(complement(converse(top)),meet(X_43,converse(complement(converse(complement(X_43)))))))]]) ).
cnf(refute_0_386,plain,
( complement(converse(top)) != zero
| join(complement(converse(top)),meet(X_43,converse(complement(converse(complement(X_43)))))) != join(complement(converse(top)),meet(X_43,converse(complement(converse(complement(X_43))))))
| join(complement(converse(top)),meet(X_43,converse(complement(converse(complement(X_43)))))) = join(zero,meet(X_43,converse(complement(converse(complement(X_43)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(top)),meet(X_43,converse(complement(converse(complement(X_43)))))),join(complement(converse(top)),meet(X_43,converse(complement(converse(complement(X_43))))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_387,plain,
( complement(converse(top)) != zero
| join(complement(converse(top)),meet(X_43,converse(complement(converse(complement(X_43)))))) = join(zero,meet(X_43,converse(complement(converse(complement(X_43)))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),meet(X_43,converse(complement(converse(complement(X_43)))))),join(complement(converse(top)),meet(X_43,converse(complement(converse(complement(X_43))))))) )],[refute_0_385,refute_0_386]) ).
cnf(refute_0_388,plain,
join(complement(converse(top)),meet(X_43,converse(complement(converse(complement(X_43)))))) = join(zero,meet(X_43,converse(complement(converse(complement(X_43)))))),
inference(resolve,[$cnf( $equal(complement(converse(top)),zero) )],[refute_0_384,refute_0_387]) ).
cnf(refute_0_389,plain,
( join(complement(converse(top)),meet(X_43,converse(complement(converse(complement(X_43)))))) != join(zero,meet(X_43,converse(complement(converse(complement(X_43))))))
| join(zero,meet(X_43,converse(complement(converse(complement(X_43)))))) != meet(X_43,converse(complement(converse(complement(X_43)))))
| join(complement(converse(top)),meet(X_43,converse(complement(converse(complement(X_43)))))) = meet(X_43,converse(complement(converse(complement(X_43))))) ),
inference(subst,[],[refute_0_21:[bind(X,$fot(join(complement(converse(top)),meet(X_43,converse(complement(converse(complement(X_43)))))))),bind(Y,$fot(join(zero,meet(X_43,converse(complement(converse(complement(X_43)))))))),bind(Z,$fot(meet(X_43,converse(complement(converse(complement(X_43)))))))]]) ).
cnf(refute_0_390,plain,
( join(zero,meet(X_43,converse(complement(converse(complement(X_43)))))) != meet(X_43,converse(complement(converse(complement(X_43)))))
| join(complement(converse(top)),meet(X_43,converse(complement(converse(complement(X_43)))))) = meet(X_43,converse(complement(converse(complement(X_43))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),meet(X_43,converse(complement(converse(complement(X_43)))))),join(zero,meet(X_43,converse(complement(converse(complement(X_43))))))) )],[refute_0_388,refute_0_389]) ).
cnf(refute_0_391,plain,
join(complement(converse(top)),meet(X_43,converse(complement(converse(complement(X_43)))))) = meet(X_43,converse(complement(converse(complement(X_43))))),
inference(resolve,[$cnf( $equal(join(zero,meet(X_43,converse(complement(converse(complement(X_43)))))),meet(X_43,converse(complement(converse(complement(X_43)))))) )],[refute_0_337,refute_0_390]) ).
cnf(refute_0_392,plain,
( X_43 != join(complement(converse(top)),meet(X_43,converse(complement(converse(complement(X_43))))))
| join(complement(converse(top)),meet(X_43,converse(complement(converse(complement(X_43)))))) != meet(X_43,converse(complement(converse(complement(X_43)))))
| X_43 = meet(X_43,converse(complement(converse(complement(X_43))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_43,meet(X_43,converse(complement(converse(complement(X_43)))))) ),[0],$fot(join(complement(converse(top)),meet(X_43,converse(complement(converse(complement(X_43)))))))]]) ).
cnf(refute_0_393,plain,
( X_43 != join(complement(converse(top)),meet(X_43,converse(complement(converse(complement(X_43))))))
| X_43 = meet(X_43,converse(complement(converse(complement(X_43))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),meet(X_43,converse(complement(converse(complement(X_43)))))),meet(X_43,converse(complement(converse(complement(X_43)))))) )],[refute_0_391,refute_0_392]) ).
cnf(refute_0_394,plain,
X_43 = meet(X_43,converse(complement(converse(complement(X_43))))),
inference(resolve,[$cnf( $equal(X_43,join(complement(converse(top)),meet(X_43,converse(complement(converse(complement(X_43))))))) )],[refute_0_82,refute_0_393]) ).
cnf(refute_0_395,plain,
complement(X_61) = meet(complement(X_61),converse(complement(converse(complement(complement(X_61)))))),
inference(subst,[],[refute_0_394:[bind(X_43,$fot(complement(X_61)))]]) ).
cnf(refute_0_396,plain,
X_61 = complement(complement(X_61)),
inference(subst,[],[refute_0_313:[bind(X_43,$fot(X_61))]]) ).
cnf(refute_0_397,plain,
( X_61 != complement(complement(X_61))
| complement(complement(X_61)) = X_61 ),
inference(subst,[],[refute_0_5:[bind(X,$fot(X_61)),bind(Y,$fot(complement(complement(X_61))))]]) ).
cnf(refute_0_398,plain,
complement(complement(X_61)) = X_61,
inference(resolve,[$cnf( $equal(X_61,complement(complement(X_61))) )],[refute_0_396,refute_0_397]) ).
cnf(refute_0_399,plain,
( complement(X_61) != meet(complement(X_61),converse(complement(converse(complement(complement(X_61))))))
| complement(complement(X_61)) != X_61
| complement(X_61) = meet(complement(X_61),converse(complement(converse(X_61)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(X_61),meet(complement(X_61),converse(complement(converse(complement(complement(X_61))))))) ),[1,1,0,0,0],$fot(X_61)]]) ).
cnf(refute_0_400,plain,
( complement(X_61) != meet(complement(X_61),converse(complement(converse(complement(complement(X_61))))))
| complement(X_61) = meet(complement(X_61),converse(complement(converse(X_61)))) ),
inference(resolve,[$cnf( $equal(complement(complement(X_61)),X_61) )],[refute_0_398,refute_0_399]) ).
cnf(refute_0_401,plain,
complement(X_61) = meet(complement(X_61),converse(complement(converse(X_61)))),
inference(resolve,[$cnf( $equal(complement(X_61),meet(complement(X_61),converse(complement(converse(complement(complement(X_61))))))) )],[refute_0_395,refute_0_400]) ).
cnf(refute_0_402,plain,
complement(converse(X0)) = meet(complement(converse(X0)),converse(complement(converse(converse(X0))))),
inference(subst,[],[refute_0_401:[bind(X_61,$fot(converse(X0)))]]) ).
cnf(refute_0_403,plain,
( complement(converse(X0)) != meet(complement(converse(X0)),converse(complement(converse(converse(X0)))))
| converse(converse(X0)) != X0
| complement(converse(X0)) = meet(complement(converse(X0)),converse(complement(X0))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(X0)),meet(complement(converse(X0)),converse(complement(converse(converse(X0)))))) ),[1,1,0,0],$fot(X0)]]) ).
cnf(refute_0_404,plain,
( complement(converse(X0)) != meet(complement(converse(X0)),converse(complement(converse(converse(X0)))))
| complement(converse(X0)) = meet(complement(converse(X0)),converse(complement(X0))) ),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_0_61,refute_0_403]) ).
cnf(refute_0_405,plain,
complement(converse(X0)) = meet(complement(converse(X0)),converse(complement(X0))),
inference(resolve,[$cnf( $equal(complement(converse(X0)),meet(complement(converse(X0)),converse(complement(converse(converse(X0)))))) )],[refute_0_402,refute_0_404]) ).
cnf(refute_0_406,plain,
complement(converse(X_277)) = meet(complement(converse(X_277)),converse(complement(X_277))),
inference(subst,[],[refute_0_405:[bind(X0,$fot(X_277))]]) ).
cnf(refute_0_407,plain,
( complement(converse(X_277)) != meet(complement(converse(X_277)),converse(complement(X_277)))
| meet(complement(converse(X_277)),converse(complement(X_277))) = complement(converse(X_277)) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(complement(converse(X_277)))),bind(Y,$fot(meet(complement(converse(X_277)),converse(complement(X_277)))))]]) ).
cnf(refute_0_408,plain,
meet(complement(converse(X_277)),converse(complement(X_277))) = complement(converse(X_277)),
inference(resolve,[$cnf( $equal(complement(converse(X_277)),meet(complement(converse(X_277)),converse(complement(X_277)))) )],[refute_0_406,refute_0_407]) ).
cnf(refute_0_409,plain,
( converse(complement(X_277)) != join(meet(converse(complement(X_277)),converse(X_277)),meet(complement(converse(X_277)),converse(complement(X_277))))
| meet(complement(converse(X_277)),converse(complement(X_277))) != complement(converse(X_277))
| converse(complement(X_277)) = join(meet(converse(complement(X_277)),converse(X_277)),complement(converse(X_277))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(X_277)),join(meet(converse(complement(X_277)),converse(X_277)),meet(complement(converse(X_277)),converse(complement(X_277))))) ),[1,1],$fot(complement(converse(X_277)))]]) ).
cnf(refute_0_410,plain,
( converse(complement(X_277)) != join(meet(converse(complement(X_277)),converse(X_277)),meet(complement(converse(X_277)),converse(complement(X_277))))
| converse(complement(X_277)) = join(meet(converse(complement(X_277)),converse(X_277)),complement(converse(X_277))) ),
inference(resolve,[$cnf( $equal(meet(complement(converse(X_277)),converse(complement(X_277))),complement(converse(X_277))) )],[refute_0_408,refute_0_409]) ).
cnf(refute_0_411,plain,
converse(complement(X_277)) = join(meet(converse(complement(X_277)),converse(X_277)),complement(converse(X_277))),
inference(resolve,[$cnf( $equal(converse(complement(X_277)),join(meet(converse(complement(X_277)),converse(X_277)),meet(complement(converse(X_277)),converse(complement(X_277))))) )],[refute_0_57,refute_0_410]) ).
cnf(refute_0_412,plain,
( meet(X_6,X_7) != meet(X_7,X_6)
| meet(X_7,X_6) = meet(X_6,X_7) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(meet(X_6,X_7))),bind(Y,$fot(meet(X_7,X_6)))]]) ).
cnf(refute_0_413,plain,
meet(X_7,X_6) = meet(X_6,X_7),
inference(resolve,[$cnf( $equal(meet(X_6,X_7),meet(X_7,X_6)) )],[refute_0_50,refute_0_412]) ).
cnf(refute_0_414,plain,
meet(converse(complement(X_277)),converse(X_277)) = meet(converse(X_277),converse(complement(X_277))),
inference(subst,[],[refute_0_413:[bind(X_6,$fot(converse(X_277))),bind(X_7,$fot(converse(complement(X_277))))]]) ).
cnf(refute_0_415,plain,
join(complement(converse(X_277)),meet(converse(complement(X_277)),converse(X_277))) = join(complement(converse(X_277)),meet(converse(complement(X_277)),converse(X_277))),
introduced(tautology,[refl,[$fot(join(complement(converse(X_277)),meet(converse(complement(X_277)),converse(X_277))))]]) ).
cnf(refute_0_416,plain,
( join(complement(converse(X_277)),meet(converse(complement(X_277)),converse(X_277))) != join(complement(converse(X_277)),meet(converse(complement(X_277)),converse(X_277)))
| meet(converse(complement(X_277)),converse(X_277)) != meet(converse(X_277),converse(complement(X_277)))
| join(complement(converse(X_277)),meet(converse(complement(X_277)),converse(X_277))) = join(complement(converse(X_277)),meet(converse(X_277),converse(complement(X_277)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(X_277)),meet(converse(complement(X_277)),converse(X_277))),join(complement(converse(X_277)),meet(converse(complement(X_277)),converse(X_277)))) ),[1,1],$fot(meet(converse(X_277),converse(complement(X_277))))]]) ).
cnf(refute_0_417,plain,
( meet(converse(complement(X_277)),converse(X_277)) != meet(converse(X_277),converse(complement(X_277)))
| join(complement(converse(X_277)),meet(converse(complement(X_277)),converse(X_277))) = join(complement(converse(X_277)),meet(converse(X_277),converse(complement(X_277)))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(X_277)),meet(converse(complement(X_277)),converse(X_277))),join(complement(converse(X_277)),meet(converse(complement(X_277)),converse(X_277)))) )],[refute_0_415,refute_0_416]) ).
cnf(refute_0_418,plain,
join(complement(converse(X_277)),meet(converse(complement(X_277)),converse(X_277))) = join(complement(converse(X_277)),meet(converse(X_277),converse(complement(X_277)))),
inference(resolve,[$cnf( $equal(meet(converse(complement(X_277)),converse(X_277)),meet(converse(X_277),converse(complement(X_277)))) )],[refute_0_414,refute_0_417]) ).
cnf(refute_0_419,plain,
join(meet(converse(complement(X_277)),converse(X_277)),complement(converse(X_277))) = join(complement(converse(X_277)),meet(converse(complement(X_277)),converse(X_277))),
inference(subst,[],[refute_0_7:[bind(X0,$fot(complement(converse(X_277)))),bind(X1,$fot(meet(converse(complement(X_277)),converse(X_277))))]]) ).
cnf(refute_0_420,plain,
( join(complement(converse(X_277)),meet(converse(complement(X_277)),converse(X_277))) != join(complement(converse(X_277)),meet(converse(X_277),converse(complement(X_277))))
| join(meet(converse(complement(X_277)),converse(X_277)),complement(converse(X_277))) != join(complement(converse(X_277)),meet(converse(complement(X_277)),converse(X_277)))
| join(meet(converse(complement(X_277)),converse(X_277)),complement(converse(X_277))) = join(complement(converse(X_277)),meet(converse(X_277),converse(complement(X_277)))) ),
inference(subst,[],[refute_0_21:[bind(X,$fot(join(meet(converse(complement(X_277)),converse(X_277)),complement(converse(X_277))))),bind(Y,$fot(join(complement(converse(X_277)),meet(converse(complement(X_277)),converse(X_277))))),bind(Z,$fot(join(complement(converse(X_277)),meet(converse(X_277),converse(complement(X_277))))))]]) ).
cnf(refute_0_421,plain,
( join(complement(converse(X_277)),meet(converse(complement(X_277)),converse(X_277))) != join(complement(converse(X_277)),meet(converse(X_277),converse(complement(X_277))))
| join(meet(converse(complement(X_277)),converse(X_277)),complement(converse(X_277))) = join(complement(converse(X_277)),meet(converse(X_277),converse(complement(X_277)))) ),
inference(resolve,[$cnf( $equal(join(meet(converse(complement(X_277)),converse(X_277)),complement(converse(X_277))),join(complement(converse(X_277)),meet(converse(complement(X_277)),converse(X_277)))) )],[refute_0_419,refute_0_420]) ).
cnf(refute_0_422,plain,
join(meet(converse(complement(X_277)),converse(X_277)),complement(converse(X_277))) = join(complement(converse(X_277)),meet(converse(X_277),converse(complement(X_277)))),
inference(resolve,[$cnf( $equal(join(complement(converse(X_277)),meet(converse(complement(X_277)),converse(X_277))),join(complement(converse(X_277)),meet(converse(X_277),converse(complement(X_277))))) )],[refute_0_418,refute_0_421]) ).
cnf(refute_0_423,plain,
( converse(complement(X_277)) != join(meet(converse(complement(X_277)),converse(X_277)),complement(converse(X_277)))
| join(meet(converse(complement(X_277)),converse(X_277)),complement(converse(X_277))) != join(complement(converse(X_277)),meet(converse(X_277),converse(complement(X_277))))
| converse(complement(X_277)) = join(complement(converse(X_277)),meet(converse(X_277),converse(complement(X_277)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(complement(X_277)),join(complement(converse(X_277)),meet(converse(X_277),converse(complement(X_277))))) ),[0],$fot(join(meet(converse(complement(X_277)),converse(X_277)),complement(converse(X_277))))]]) ).
cnf(refute_0_424,plain,
( converse(complement(X_277)) != join(meet(converse(complement(X_277)),converse(X_277)),complement(converse(X_277)))
| converse(complement(X_277)) = join(complement(converse(X_277)),meet(converse(X_277),converse(complement(X_277)))) ),
inference(resolve,[$cnf( $equal(join(meet(converse(complement(X_277)),converse(X_277)),complement(converse(X_277))),join(complement(converse(X_277)),meet(converse(X_277),converse(complement(X_277))))) )],[refute_0_422,refute_0_423]) ).
cnf(refute_0_425,plain,
converse(complement(X_277)) = join(complement(converse(X_277)),meet(converse(X_277),converse(complement(X_277)))),
inference(resolve,[$cnf( $equal(converse(complement(X_277)),join(meet(converse(complement(X_277)),converse(X_277)),complement(converse(X_277)))) )],[refute_0_411,refute_0_424]) ).
cnf(refute_0_426,plain,
X1 = join(meet(X1,X1),complement(join(complement(X1),X1))),
inference(subst,[],[refute_0_27:[bind(X0,$fot(X1))]]) ).
cnf(refute_0_427,plain,
( X1 != join(meet(X1,X1),complement(join(complement(X1),X1)))
| meet(X1,X1) != X1
| X1 = join(X1,complement(join(complement(X1),X1))) ),
introduced(tautology,[equality,[$cnf( $equal(X1,join(meet(X1,X1),complement(join(complement(X1),X1)))) ),[1,0],$fot(X1)]]) ).
cnf(refute_0_428,plain,
( X1 != join(meet(X1,X1),complement(join(complement(X1),X1)))
| X1 = join(X1,complement(join(complement(X1),X1))) ),
inference(resolve,[$cnf( $equal(meet(X1,X1),X1) )],[refute_0_319,refute_0_427]) ).
cnf(refute_0_429,plain,
X1 = join(X1,complement(join(complement(X1),X1))),
inference(resolve,[$cnf( $equal(X1,join(meet(X1,X1),complement(join(complement(X1),X1)))) )],[refute_0_426,refute_0_428]) ).
cnf(refute_0_430,plain,
join(X1,complement(X1)) = top,
inference(subst,[],[refute_0_98:[bind(X0,$fot(X1))]]) ).
cnf(refute_0_431,plain,
join(complement(X1),X1) = join(X1,complement(X1)),
inference(subst,[],[refute_0_7:[bind(X0,$fot(X1)),bind(X1,$fot(complement(X1)))]]) ).
cnf(refute_0_432,plain,
( join(X1,complement(X1)) != top
| join(complement(X1),X1) != join(X1,complement(X1))
| join(complement(X1),X1) = top ),
inference(subst,[],[refute_0_21:[bind(X,$fot(join(complement(X1),X1))),bind(Y,$fot(join(X1,complement(X1)))),bind(Z,$fot(top))]]) ).
cnf(refute_0_433,plain,
( join(X1,complement(X1)) != top
| join(complement(X1),X1) = top ),
inference(resolve,[$cnf( $equal(join(complement(X1),X1),join(X1,complement(X1))) )],[refute_0_431,refute_0_432]) ).
cnf(refute_0_434,plain,
join(complement(X1),X1) = top,
inference(resolve,[$cnf( $equal(join(X1,complement(X1)),top) )],[refute_0_430,refute_0_433]) ).
cnf(refute_0_435,plain,
complement(join(complement(X1),X1)) = complement(join(complement(X1),X1)),
introduced(tautology,[refl,[$fot(complement(join(complement(X1),X1)))]]) ).
cnf(refute_0_436,plain,
( complement(join(complement(X1),X1)) != complement(join(complement(X1),X1))
| join(complement(X1),X1) != top
| complement(join(complement(X1),X1)) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(X1),X1)),complement(join(complement(X1),X1))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_437,plain,
( join(complement(X1),X1) != top
| complement(join(complement(X1),X1)) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X1),X1)),complement(join(complement(X1),X1))) )],[refute_0_435,refute_0_436]) ).
cnf(refute_0_438,plain,
complement(join(complement(X1),X1)) = complement(top),
inference(resolve,[$cnf( $equal(join(complement(X1),X1),top) )],[refute_0_434,refute_0_437]) ).
cnf(refute_0_439,plain,
( complement(join(complement(X1),X1)) != complement(top)
| complement(top) != zero
| complement(join(complement(X1),X1)) = zero ),
inference(subst,[],[refute_0_21:[bind(X,$fot(complement(join(complement(X1),X1)))),bind(Y,$fot(complement(top))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_440,plain,
( complement(top) != zero
| complement(join(complement(X1),X1)) = zero ),
inference(resolve,[$cnf( $equal(complement(join(complement(X1),X1)),complement(top)) )],[refute_0_438,refute_0_439]) ).
cnf(refute_0_441,plain,
complement(join(complement(X1),X1)) = zero,
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_116,refute_0_440]) ).
cnf(refute_0_442,plain,
join(X1,complement(join(complement(X1),X1))) = join(X1,complement(join(complement(X1),X1))),
introduced(tautology,[refl,[$fot(join(X1,complement(join(complement(X1),X1))))]]) ).
cnf(refute_0_443,plain,
( complement(join(complement(X1),X1)) != zero
| join(X1,complement(join(complement(X1),X1))) != join(X1,complement(join(complement(X1),X1)))
| join(X1,complement(join(complement(X1),X1))) = join(X1,zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(X1,complement(join(complement(X1),X1))),join(X1,complement(join(complement(X1),X1)))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_444,plain,
( complement(join(complement(X1),X1)) != zero
| join(X1,complement(join(complement(X1),X1))) = join(X1,zero) ),
inference(resolve,[$cnf( $equal(join(X1,complement(join(complement(X1),X1))),join(X1,complement(join(complement(X1),X1)))) )],[refute_0_442,refute_0_443]) ).
cnf(refute_0_445,plain,
join(X1,complement(join(complement(X1),X1))) = join(X1,zero),
inference(resolve,[$cnf( $equal(complement(join(complement(X1),X1)),zero) )],[refute_0_441,refute_0_444]) ).
cnf(refute_0_446,plain,
( X1 != join(X1,complement(join(complement(X1),X1)))
| join(X1,complement(join(complement(X1),X1))) != join(X1,zero)
| X1 = join(X1,zero) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X1,join(X1,zero)) ),[0],$fot(join(X1,complement(join(complement(X1),X1))))]]) ).
cnf(refute_0_447,plain,
( X1 != join(X1,complement(join(complement(X1),X1)))
| X1 = join(X1,zero) ),
inference(resolve,[$cnf( $equal(join(X1,complement(join(complement(X1),X1))),join(X1,zero)) )],[refute_0_445,refute_0_446]) ).
cnf(refute_0_448,plain,
X1 = join(X1,zero),
inference(resolve,[$cnf( $equal(X1,join(X1,complement(join(complement(X1),X1)))) )],[refute_0_429,refute_0_447]) ).
cnf(refute_0_449,plain,
( X1 != join(X1,zero)
| join(X1,zero) = X1 ),
inference(subst,[],[refute_0_5:[bind(X,$fot(X1)),bind(Y,$fot(join(X1,zero)))]]) ).
cnf(refute_0_450,plain,
join(X1,zero) = X1,
inference(resolve,[$cnf( $equal(X1,join(X1,zero)) )],[refute_0_448,refute_0_449]) ).
cnf(refute_0_451,plain,
join(complement(converse(X_277)),zero) = complement(converse(X_277)),
inference(subst,[],[refute_0_450:[bind(X1,$fot(complement(converse(X_277))))]]) ).
cnf(refute_0_452,plain,
complement(converse(converse(complement(meet(converse(X_295),converse(complement(X_295))))))) = meet(complement(converse(converse(complement(meet(converse(X_295),converse(complement(X_295))))))),converse(complement(converse(complement(meet(converse(X_295),converse(complement(X_295)))))))),
inference(subst,[],[refute_0_405:[bind(X0,$fot(converse(complement(meet(converse(X_295),converse(complement(X_295)))))))]]) ).
cnf(refute_0_453,plain,
X_43 = join(meet(X_43,X_44),complement(join(complement(X_43),X_44))),
inference(subst,[],[refute_0_27:[bind(X0,$fot(X_43)),bind(X1,$fot(X_44))]]) ).
cnf(refute_0_454,plain,
join(X_44,complement(X_43)) = join(complement(X_43),X_44),
inference(subst,[],[refute_0_2:[bind(X0,$fot(X_44)),bind(X1,$fot(complement(X_43)))]]) ).
cnf(refute_0_455,plain,
( join(X_44,complement(X_43)) != join(complement(X_43),X_44)
| join(complement(X_43),X_44) = join(X_44,complement(X_43)) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(join(X_44,complement(X_43)))),bind(Y,$fot(join(complement(X_43),X_44)))]]) ).
cnf(refute_0_456,plain,
join(complement(X_43),X_44) = join(X_44,complement(X_43)),
inference(resolve,[$cnf( $equal(join(X_44,complement(X_43)),join(complement(X_43),X_44)) )],[refute_0_454,refute_0_455]) ).
cnf(refute_0_457,plain,
( X_43 != join(meet(X_43,X_44),complement(join(complement(X_43),X_44)))
| join(complement(X_43),X_44) != join(X_44,complement(X_43))
| X_43 = join(meet(X_43,X_44),complement(join(X_44,complement(X_43)))) ),
introduced(tautology,[equality,[$cnf( $equal(X_43,join(meet(X_43,X_44),complement(join(complement(X_43),X_44)))) ),[1,1,0],$fot(join(X_44,complement(X_43)))]]) ).
cnf(refute_0_458,plain,
( X_43 != join(meet(X_43,X_44),complement(join(complement(X_43),X_44)))
| X_43 = join(meet(X_43,X_44),complement(join(X_44,complement(X_43)))) ),
inference(resolve,[$cnf( $equal(join(complement(X_43),X_44),join(X_44,complement(X_43))) )],[refute_0_456,refute_0_457]) ).
cnf(refute_0_459,plain,
X_43 = join(meet(X_43,X_44),complement(join(X_44,complement(X_43)))),
inference(resolve,[$cnf( $equal(X_43,join(meet(X_43,X_44),complement(join(complement(X_43),X_44)))) )],[refute_0_453,refute_0_458]) ).
cnf(refute_0_460,plain,
complement(X_43) = join(meet(complement(X_43),X_67),complement(join(X_67,complement(complement(X_43))))),
inference(subst,[],[refute_0_459:[bind(X_43,$fot(complement(X_43))),bind(X_44,$fot(X_67))]]) ).
cnf(refute_0_461,plain,
( complement(X_43) != join(meet(complement(X_43),X_67),complement(join(X_67,complement(complement(X_43)))))
| complement(complement(X_43)) != X_43
| complement(X_43) = join(meet(complement(X_43),X_67),complement(join(X_67,X_43))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(X_43),join(meet(complement(X_43),X_67),complement(join(X_67,complement(complement(X_43)))))) ),[1,1,0,1],$fot(X_43)]]) ).
cnf(refute_0_462,plain,
( complement(X_43) != join(meet(complement(X_43),X_67),complement(join(X_67,complement(complement(X_43)))))
| complement(X_43) = join(meet(complement(X_43),X_67),complement(join(X_67,X_43))) ),
inference(resolve,[$cnf( $equal(complement(complement(X_43)),X_43) )],[refute_0_315,refute_0_461]) ).
cnf(refute_0_463,plain,
complement(X_43) = join(meet(complement(X_43),X_67),complement(join(X_67,X_43))),
inference(resolve,[$cnf( $equal(complement(X_43),join(meet(complement(X_43),X_67),complement(join(X_67,complement(complement(X_43)))))) )],[refute_0_460,refute_0_462]) ).
cnf(refute_0_464,plain,
join(meet(complement(X_43),X_67),complement(join(X_67,X_43))) = join(complement(join(X_67,X_43)),meet(complement(X_43),X_67)),
inference(subst,[],[refute_0_7:[bind(X0,$fot(complement(join(X_67,X_43)))),bind(X1,$fot(meet(complement(X_43),X_67)))]]) ).
cnf(refute_0_465,plain,
( complement(X_43) != join(meet(complement(X_43),X_67),complement(join(X_67,X_43)))
| join(meet(complement(X_43),X_67),complement(join(X_67,X_43))) != join(complement(join(X_67,X_43)),meet(complement(X_43),X_67))
| complement(X_43) = join(complement(join(X_67,X_43)),meet(complement(X_43),X_67)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(X_43),join(complement(join(X_67,X_43)),meet(complement(X_43),X_67))) ),[0],$fot(join(meet(complement(X_43),X_67),complement(join(X_67,X_43))))]]) ).
cnf(refute_0_466,plain,
( complement(X_43) != join(meet(complement(X_43),X_67),complement(join(X_67,X_43)))
| complement(X_43) = join(complement(join(X_67,X_43)),meet(complement(X_43),X_67)) ),
inference(resolve,[$cnf( $equal(join(meet(complement(X_43),X_67),complement(join(X_67,X_43))),join(complement(join(X_67,X_43)),meet(complement(X_43),X_67))) )],[refute_0_464,refute_0_465]) ).
cnf(refute_0_467,plain,
complement(X_43) = join(complement(join(X_67,X_43)),meet(complement(X_43),X_67)),
inference(resolve,[$cnf( $equal(complement(X_43),join(meet(complement(X_43),X_67),complement(join(X_67,X_43)))) )],[refute_0_463,refute_0_466]) ).
cnf(refute_0_468,plain,
complement(converse(complement(meet(converse(X_67),converse(complement(X_67)))))) = join(complement(join(X_67,converse(complement(meet(converse(X_67),converse(complement(X_67))))))),meet(complement(converse(complement(meet(converse(X_67),converse(complement(X_67)))))),X_67)),
inference(subst,[],[refute_0_467:[bind(X_43,$fot(converse(complement(meet(converse(X_67),converse(complement(X_67)))))))]]) ).
cnf(refute_0_469,plain,
converse(join(converse(X0),complement(meet(converse(X0),converse(complement(converse(converse(X0)))))))) = join(X0,converse(complement(meet(converse(X0),converse(complement(converse(converse(X0)))))))),
inference(subst,[],[refute_0_64:[bind(X_9,$fot(complement(meet(converse(X0),converse(complement(converse(converse(X0))))))))]]) ).
cnf(refute_0_470,plain,
top = join(complement(X_6),join(complement(converse(complement(converse(complement(X_6))))),meet(X_6,converse(complement(converse(complement(X_6))))))),
inference(subst,[],[refute_0_254:[bind(X_7,$fot(converse(complement(converse(complement(X_6))))))]]) ).
cnf(refute_0_471,plain,
X_6 = meet(X_6,converse(complement(converse(complement(X_6))))),
inference(subst,[],[refute_0_394:[bind(X_43,$fot(X_6))]]) ).
cnf(refute_0_472,plain,
( X_6 != meet(X_6,converse(complement(converse(complement(X_6)))))
| meet(X_6,converse(complement(converse(complement(X_6))))) = X_6 ),
inference(subst,[],[refute_0_5:[bind(X,$fot(X_6)),bind(Y,$fot(meet(X_6,converse(complement(converse(complement(X_6)))))))]]) ).
cnf(refute_0_473,plain,
meet(X_6,converse(complement(converse(complement(X_6))))) = X_6,
inference(resolve,[$cnf( $equal(X_6,meet(X_6,converse(complement(converse(complement(X_6)))))) )],[refute_0_471,refute_0_472]) ).
cnf(refute_0_474,plain,
( meet(X_6,converse(complement(converse(complement(X_6))))) != X_6
| top != join(complement(X_6),join(complement(converse(complement(converse(complement(X_6))))),meet(X_6,converse(complement(converse(complement(X_6)))))))
| top = join(complement(X_6),join(complement(converse(complement(converse(complement(X_6))))),X_6)) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(X_6),join(complement(converse(complement(converse(complement(X_6))))),meet(X_6,converse(complement(converse(complement(X_6)))))))) ),[1,1,1],$fot(X_6)]]) ).
cnf(refute_0_475,plain,
( top != join(complement(X_6),join(complement(converse(complement(converse(complement(X_6))))),meet(X_6,converse(complement(converse(complement(X_6)))))))
| top = join(complement(X_6),join(complement(converse(complement(converse(complement(X_6))))),X_6)) ),
inference(resolve,[$cnf( $equal(meet(X_6,converse(complement(converse(complement(X_6))))),X_6) )],[refute_0_473,refute_0_474]) ).
cnf(refute_0_476,plain,
top = join(complement(X_6),join(complement(converse(complement(converse(complement(X_6))))),X_6)),
inference(resolve,[$cnf( $equal(top,join(complement(X_6),join(complement(converse(complement(converse(complement(X_6))))),meet(X_6,converse(complement(converse(complement(X_6)))))))) )],[refute_0_470,refute_0_475]) ).
cnf(refute_0_477,plain,
join(complement(converse(complement(converse(complement(X_6))))),X_6) = join(X_6,complement(converse(complement(converse(complement(X_6)))))),
inference(subst,[],[refute_0_7:[bind(X0,$fot(X_6)),bind(X1,$fot(complement(converse(complement(converse(complement(X_6)))))))]]) ).
cnf(refute_0_478,plain,
join(complement(X_6),join(complement(converse(complement(converse(complement(X_6))))),X_6)) = join(complement(X_6),join(complement(converse(complement(converse(complement(X_6))))),X_6)),
introduced(tautology,[refl,[$fot(join(complement(X_6),join(complement(converse(complement(converse(complement(X_6))))),X_6)))]]) ).
cnf(refute_0_479,plain,
( join(complement(X_6),join(complement(converse(complement(converse(complement(X_6))))),X_6)) != join(complement(X_6),join(complement(converse(complement(converse(complement(X_6))))),X_6))
| join(complement(converse(complement(converse(complement(X_6))))),X_6) != join(X_6,complement(converse(complement(converse(complement(X_6))))))
| join(complement(X_6),join(complement(converse(complement(converse(complement(X_6))))),X_6)) = join(complement(X_6),join(X_6,complement(converse(complement(converse(complement(X_6))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_6),join(complement(converse(complement(converse(complement(X_6))))),X_6)),join(complement(X_6),join(complement(converse(complement(converse(complement(X_6))))),X_6))) ),[1,1],$fot(join(X_6,complement(converse(complement(converse(complement(X_6)))))))]]) ).
cnf(refute_0_480,plain,
( join(complement(converse(complement(converse(complement(X_6))))),X_6) != join(X_6,complement(converse(complement(converse(complement(X_6))))))
| join(complement(X_6),join(complement(converse(complement(converse(complement(X_6))))),X_6)) = join(complement(X_6),join(X_6,complement(converse(complement(converse(complement(X_6))))))) ),
inference(resolve,[$cnf( $equal(join(complement(X_6),join(complement(converse(complement(converse(complement(X_6))))),X_6)),join(complement(X_6),join(complement(converse(complement(converse(complement(X_6))))),X_6))) )],[refute_0_478,refute_0_479]) ).
cnf(refute_0_481,plain,
join(complement(X_6),join(complement(converse(complement(converse(complement(X_6))))),X_6)) = join(complement(X_6),join(X_6,complement(converse(complement(converse(complement(X_6))))))),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(converse(complement(X_6))))),X_6),join(X_6,complement(converse(complement(converse(complement(X_6))))))) )],[refute_0_477,refute_0_480]) ).
cnf(refute_0_482,plain,
( join(complement(X_6),join(complement(converse(complement(converse(complement(X_6))))),X_6)) != join(complement(X_6),join(X_6,complement(converse(complement(converse(complement(X_6)))))))
| top != join(complement(X_6),join(complement(converse(complement(converse(complement(X_6))))),X_6))
| top = join(complement(X_6),join(X_6,complement(converse(complement(converse(complement(X_6))))))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(X_6),join(complement(converse(complement(converse(complement(X_6))))),X_6))) ),[1],$fot(join(complement(X_6),join(X_6,complement(converse(complement(converse(complement(X_6))))))))]]) ).
cnf(refute_0_483,plain,
( top != join(complement(X_6),join(complement(converse(complement(converse(complement(X_6))))),X_6))
| top = join(complement(X_6),join(X_6,complement(converse(complement(converse(complement(X_6))))))) ),
inference(resolve,[$cnf( $equal(join(complement(X_6),join(complement(converse(complement(converse(complement(X_6))))),X_6)),join(complement(X_6),join(X_6,complement(converse(complement(converse(complement(X_6)))))))) )],[refute_0_481,refute_0_482]) ).
cnf(refute_0_484,plain,
top = join(complement(X_6),join(X_6,complement(converse(complement(converse(complement(X_6))))))),
inference(resolve,[$cnf( $equal(top,join(complement(X_6),join(complement(converse(complement(converse(complement(X_6))))),X_6))) )],[refute_0_476,refute_0_483]) ).
cnf(refute_0_485,plain,
top = join(complement(complement(X_43)),join(complement(X_43),complement(converse(complement(converse(complement(complement(X_43)))))))),
inference(subst,[],[refute_0_484:[bind(X_6,$fot(complement(X_43)))]]) ).
cnf(refute_0_486,plain,
( complement(complement(X_43)) != X_43
| top != join(complement(complement(X_43)),join(complement(X_43),complement(converse(complement(converse(complement(complement(X_43))))))))
| top = join(complement(complement(X_43)),join(complement(X_43),complement(converse(complement(converse(X_43)))))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(complement(X_43)),join(complement(X_43),complement(converse(complement(converse(complement(complement(X_43))))))))) ),[1,1,1,0,0,0,0],$fot(X_43)]]) ).
cnf(refute_0_487,plain,
( top != join(complement(complement(X_43)),join(complement(X_43),complement(converse(complement(converse(complement(complement(X_43))))))))
| top = join(complement(complement(X_43)),join(complement(X_43),complement(converse(complement(converse(X_43)))))) ),
inference(resolve,[$cnf( $equal(complement(complement(X_43)),X_43) )],[refute_0_315,refute_0_486]) ).
cnf(refute_0_488,plain,
top = join(complement(complement(X_43)),join(complement(X_43),complement(converse(complement(converse(X_43)))))),
inference(resolve,[$cnf( $equal(top,join(complement(complement(X_43)),join(complement(X_43),complement(converse(complement(converse(complement(complement(X_43))))))))) )],[refute_0_485,refute_0_487]) ).
cnf(refute_0_489,plain,
join(complement(X0),complement(X1)) = join(zero,complement(complement(join(complement(X0),complement(X1))))),
inference(subst,[],[refute_0_215:[bind(X_43,$fot(join(complement(X0),complement(X1))))]]) ).
cnf(refute_0_490,plain,
( complement(join(complement(X0),complement(X1))) != meet(X0,X1)
| join(complement(X0),complement(X1)) != join(zero,complement(complement(join(complement(X0),complement(X1)))))
| join(complement(X0),complement(X1)) = join(zero,complement(meet(X0,X1))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X0),complement(X1)),join(zero,complement(complement(join(complement(X0),complement(X1)))))) ),[1,1,0],$fot(meet(X0,X1))]]) ).
cnf(refute_0_491,plain,
( join(complement(X0),complement(X1)) != join(zero,complement(complement(join(complement(X0),complement(X1)))))
| join(complement(X0),complement(X1)) = join(zero,complement(meet(X0,X1))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X0),complement(X1))),meet(X0,X1)) )],[refute_0_15,refute_0_490]) ).
cnf(refute_0_492,plain,
join(complement(X0),complement(X1)) = join(zero,complement(meet(X0,X1))),
inference(resolve,[$cnf( $equal(join(complement(X0),complement(X1)),join(zero,complement(complement(join(complement(X0),complement(X1)))))) )],[refute_0_489,refute_0_491]) ).
cnf(refute_0_493,plain,
join(zero,complement(meet(X0,X1))) = complement(meet(X0,X1)),
inference(subst,[],[refute_0_309:[bind(X_48,$fot(meet(X0,X1)))]]) ).
cnf(refute_0_494,plain,
( join(complement(X0),complement(X1)) != join(zero,complement(meet(X0,X1)))
| join(zero,complement(meet(X0,X1))) != complement(meet(X0,X1))
| join(complement(X0),complement(X1)) = complement(meet(X0,X1)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(complement(X0),complement(X1)),complement(meet(X0,X1))) ),[0],$fot(join(zero,complement(meet(X0,X1))))]]) ).
cnf(refute_0_495,plain,
( join(complement(X0),complement(X1)) != join(zero,complement(meet(X0,X1)))
| join(complement(X0),complement(X1)) = complement(meet(X0,X1)) ),
inference(resolve,[$cnf( $equal(join(zero,complement(meet(X0,X1))),complement(meet(X0,X1))) )],[refute_0_493,refute_0_494]) ).
cnf(refute_0_496,plain,
join(complement(X0),complement(X1)) = complement(meet(X0,X1)),
inference(resolve,[$cnf( $equal(join(complement(X0),complement(X1)),join(zero,complement(meet(X0,X1)))) )],[refute_0_492,refute_0_495]) ).
cnf(refute_0_497,plain,
join(complement(X_43),complement(converse(complement(converse(X_43))))) = complement(meet(X_43,converse(complement(converse(X_43))))),
inference(subst,[],[refute_0_496:[bind(X0,$fot(X_43)),bind(X1,$fot(converse(complement(converse(X_43)))))]]) ).
cnf(refute_0_498,plain,
join(X_43,join(complement(X_43),complement(converse(complement(converse(X_43)))))) = join(X_43,join(complement(X_43),complement(converse(complement(converse(X_43)))))),
introduced(tautology,[refl,[$fot(join(X_43,join(complement(X_43),complement(converse(complement(converse(X_43)))))))]]) ).
cnf(refute_0_499,plain,
( join(X_43,join(complement(X_43),complement(converse(complement(converse(X_43)))))) != join(X_43,join(complement(X_43),complement(converse(complement(converse(X_43))))))
| join(complement(X_43),complement(converse(complement(converse(X_43))))) != complement(meet(X_43,converse(complement(converse(X_43)))))
| join(X_43,join(complement(X_43),complement(converse(complement(converse(X_43)))))) = join(X_43,complement(meet(X_43,converse(complement(converse(X_43)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_43,join(complement(X_43),complement(converse(complement(converse(X_43)))))),join(X_43,join(complement(X_43),complement(converse(complement(converse(X_43))))))) ),[1,1],$fot(complement(meet(X_43,converse(complement(converse(X_43))))))]]) ).
cnf(refute_0_500,plain,
( join(complement(X_43),complement(converse(complement(converse(X_43))))) != complement(meet(X_43,converse(complement(converse(X_43)))))
| join(X_43,join(complement(X_43),complement(converse(complement(converse(X_43)))))) = join(X_43,complement(meet(X_43,converse(complement(converse(X_43)))))) ),
inference(resolve,[$cnf( $equal(join(X_43,join(complement(X_43),complement(converse(complement(converse(X_43)))))),join(X_43,join(complement(X_43),complement(converse(complement(converse(X_43))))))) )],[refute_0_498,refute_0_499]) ).
cnf(refute_0_501,plain,
join(X_43,join(complement(X_43),complement(converse(complement(converse(X_43)))))) = join(X_43,complement(meet(X_43,converse(complement(converse(X_43)))))),
inference(resolve,[$cnf( $equal(join(complement(X_43),complement(converse(complement(converse(X_43))))),complement(meet(X_43,converse(complement(converse(X_43)))))) )],[refute_0_497,refute_0_500]) ).
cnf(refute_0_502,plain,
join(complement(complement(X_43)),join(complement(X_43),complement(converse(complement(converse(X_43)))))) = join(complement(complement(X_43)),join(complement(X_43),complement(converse(complement(converse(X_43)))))),
introduced(tautology,[refl,[$fot(join(complement(complement(X_43)),join(complement(X_43),complement(converse(complement(converse(X_43)))))))]]) ).
cnf(refute_0_503,plain,
( complement(complement(X_43)) != X_43
| join(complement(complement(X_43)),join(complement(X_43),complement(converse(complement(converse(X_43)))))) != join(complement(complement(X_43)),join(complement(X_43),complement(converse(complement(converse(X_43))))))
| join(complement(complement(X_43)),join(complement(X_43),complement(converse(complement(converse(X_43)))))) = join(X_43,join(complement(X_43),complement(converse(complement(converse(X_43)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(X_43)),join(complement(X_43),complement(converse(complement(converse(X_43)))))),join(complement(complement(X_43)),join(complement(X_43),complement(converse(complement(converse(X_43))))))) ),[1,0],$fot(X_43)]]) ).
cnf(refute_0_504,plain,
( complement(complement(X_43)) != X_43
| join(complement(complement(X_43)),join(complement(X_43),complement(converse(complement(converse(X_43)))))) = join(X_43,join(complement(X_43),complement(converse(complement(converse(X_43)))))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(X_43)),join(complement(X_43),complement(converse(complement(converse(X_43)))))),join(complement(complement(X_43)),join(complement(X_43),complement(converse(complement(converse(X_43))))))) )],[refute_0_502,refute_0_503]) ).
cnf(refute_0_505,plain,
join(complement(complement(X_43)),join(complement(X_43),complement(converse(complement(converse(X_43)))))) = join(X_43,join(complement(X_43),complement(converse(complement(converse(X_43)))))),
inference(resolve,[$cnf( $equal(complement(complement(X_43)),X_43) )],[refute_0_315,refute_0_504]) ).
cnf(refute_0_506,plain,
( join(X_43,join(complement(X_43),complement(converse(complement(converse(X_43)))))) != join(X_43,complement(meet(X_43,converse(complement(converse(X_43))))))
| join(complement(complement(X_43)),join(complement(X_43),complement(converse(complement(converse(X_43)))))) != join(X_43,join(complement(X_43),complement(converse(complement(converse(X_43))))))
| join(complement(complement(X_43)),join(complement(X_43),complement(converse(complement(converse(X_43)))))) = join(X_43,complement(meet(X_43,converse(complement(converse(X_43)))))) ),
inference(subst,[],[refute_0_21:[bind(X,$fot(join(complement(complement(X_43)),join(complement(X_43),complement(converse(complement(converse(X_43)))))))),bind(Y,$fot(join(X_43,join(complement(X_43),complement(converse(complement(converse(X_43)))))))),bind(Z,$fot(join(X_43,complement(meet(X_43,converse(complement(converse(X_43))))))))]]) ).
cnf(refute_0_507,plain,
( join(X_43,join(complement(X_43),complement(converse(complement(converse(X_43)))))) != join(X_43,complement(meet(X_43,converse(complement(converse(X_43))))))
| join(complement(complement(X_43)),join(complement(X_43),complement(converse(complement(converse(X_43)))))) = join(X_43,complement(meet(X_43,converse(complement(converse(X_43)))))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(X_43)),join(complement(X_43),complement(converse(complement(converse(X_43)))))),join(X_43,join(complement(X_43),complement(converse(complement(converse(X_43))))))) )],[refute_0_505,refute_0_506]) ).
cnf(refute_0_508,plain,
join(complement(complement(X_43)),join(complement(X_43),complement(converse(complement(converse(X_43)))))) = join(X_43,complement(meet(X_43,converse(complement(converse(X_43)))))),
inference(resolve,[$cnf( $equal(join(X_43,join(complement(X_43),complement(converse(complement(converse(X_43)))))),join(X_43,complement(meet(X_43,converse(complement(converse(X_43))))))) )],[refute_0_501,refute_0_507]) ).
cnf(refute_0_509,plain,
( join(complement(complement(X_43)),join(complement(X_43),complement(converse(complement(converse(X_43)))))) != join(X_43,complement(meet(X_43,converse(complement(converse(X_43))))))
| top != join(complement(complement(X_43)),join(complement(X_43),complement(converse(complement(converse(X_43))))))
| top = join(X_43,complement(meet(X_43,converse(complement(converse(X_43)))))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(complement(X_43)),join(complement(X_43),complement(converse(complement(converse(X_43))))))) ),[1],$fot(join(X_43,complement(meet(X_43,converse(complement(converse(X_43)))))))]]) ).
cnf(refute_0_510,plain,
( top != join(complement(complement(X_43)),join(complement(X_43),complement(converse(complement(converse(X_43))))))
| top = join(X_43,complement(meet(X_43,converse(complement(converse(X_43)))))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(X_43)),join(complement(X_43),complement(converse(complement(converse(X_43)))))),join(X_43,complement(meet(X_43,converse(complement(converse(X_43))))))) )],[refute_0_508,refute_0_509]) ).
cnf(refute_0_511,plain,
top = join(X_43,complement(meet(X_43,converse(complement(converse(X_43)))))),
inference(resolve,[$cnf( $equal(top,join(complement(complement(X_43)),join(complement(X_43),complement(converse(complement(converse(X_43))))))) )],[refute_0_488,refute_0_510]) ).
cnf(refute_0_512,plain,
top = join(converse(X0),complement(meet(converse(X0),converse(complement(converse(converse(X0))))))),
inference(subst,[],[refute_0_511:[bind(X_43,$fot(converse(X0)))]]) ).
cnf(refute_0_513,plain,
( top != join(converse(X0),complement(meet(converse(X0),converse(complement(converse(converse(X0)))))))
| join(converse(X0),complement(meet(converse(X0),converse(complement(converse(converse(X0))))))) = top ),
inference(subst,[],[refute_0_5:[bind(X,$fot(top)),bind(Y,$fot(join(converse(X0),complement(meet(converse(X0),converse(complement(converse(converse(X0)))))))))]]) ).
cnf(refute_0_514,plain,
join(converse(X0),complement(meet(converse(X0),converse(complement(converse(converse(X0))))))) = top,
inference(resolve,[$cnf( $equal(top,join(converse(X0),complement(meet(converse(X0),converse(complement(converse(converse(X0)))))))) )],[refute_0_512,refute_0_513]) ).
cnf(refute_0_515,plain,
( converse(join(converse(X0),complement(meet(converse(X0),converse(complement(converse(converse(X0)))))))) != join(X0,converse(complement(meet(converse(X0),converse(complement(converse(converse(X0))))))))
| join(converse(X0),complement(meet(converse(X0),converse(complement(converse(converse(X0))))))) != top
| converse(top) = join(X0,converse(complement(meet(converse(X0),converse(complement(converse(converse(X0)))))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X0),complement(meet(converse(X0),converse(complement(converse(converse(X0)))))))),join(X0,converse(complement(meet(converse(X0),converse(complement(converse(converse(X0))))))))) ),[0,0],$fot(top)]]) ).
cnf(refute_0_516,plain,
( converse(join(converse(X0),complement(meet(converse(X0),converse(complement(converse(converse(X0)))))))) != join(X0,converse(complement(meet(converse(X0),converse(complement(converse(converse(X0))))))))
| converse(top) = join(X0,converse(complement(meet(converse(X0),converse(complement(converse(converse(X0)))))))) ),
inference(resolve,[$cnf( $equal(join(converse(X0),complement(meet(converse(X0),converse(complement(converse(converse(X0))))))),top) )],[refute_0_514,refute_0_515]) ).
cnf(refute_0_517,plain,
converse(top) = join(X0,converse(complement(meet(converse(X0),converse(complement(converse(converse(X0)))))))),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),complement(meet(converse(X0),converse(complement(converse(converse(X0)))))))),join(X0,converse(complement(meet(converse(X0),converse(complement(converse(converse(X0))))))))) )],[refute_0_469,refute_0_516]) ).
cnf(refute_0_518,plain,
( converse(top) != join(X0,converse(complement(meet(converse(X0),converse(complement(converse(converse(X0))))))))
| converse(top) != top
| top = join(X0,converse(complement(meet(converse(X0),converse(complement(converse(converse(X0)))))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(top),join(X0,converse(complement(meet(converse(X0),converse(complement(converse(converse(X0))))))))) ),[0],$fot(top)]]) ).
cnf(refute_0_519,plain,
( converse(top) != join(X0,converse(complement(meet(converse(X0),converse(complement(converse(converse(X0))))))))
| top = join(X0,converse(complement(meet(converse(X0),converse(complement(converse(converse(X0)))))))) ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_377,refute_0_518]) ).
cnf(refute_0_520,plain,
complement(converse(converse(X0))) = complement(converse(converse(X0))),
introduced(tautology,[refl,[$fot(complement(converse(converse(X0))))]]) ).
cnf(refute_0_521,plain,
( complement(converse(converse(X0))) != complement(converse(converse(X0)))
| converse(converse(X0)) != X0
| complement(converse(converse(X0))) = complement(X0) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(converse(X0))),complement(converse(converse(X0)))) ),[1,0],$fot(X0)]]) ).
cnf(refute_0_522,plain,
( converse(converse(X0)) != X0
| complement(converse(converse(X0))) = complement(X0) ),
inference(resolve,[$cnf( $equal(complement(converse(converse(X0))),complement(converse(converse(X0)))) )],[refute_0_520,refute_0_521]) ).
cnf(refute_0_523,plain,
complement(converse(converse(X0))) = complement(X0),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_0_61,refute_0_522]) ).
cnf(refute_0_524,plain,
converse(complement(converse(converse(X0)))) = converse(complement(converse(converse(X0)))),
introduced(tautology,[refl,[$fot(converse(complement(converse(converse(X0)))))]]) ).
cnf(refute_0_525,plain,
( complement(converse(converse(X0))) != complement(X0)
| converse(complement(converse(converse(X0)))) != converse(complement(converse(converse(X0))))
| converse(complement(converse(converse(X0)))) = converse(complement(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(converse(X0)))),converse(complement(converse(converse(X0))))) ),[1,0],$fot(complement(X0))]]) ).
cnf(refute_0_526,plain,
( complement(converse(converse(X0))) != complement(X0)
| converse(complement(converse(converse(X0)))) = converse(complement(X0)) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(converse(X0)))),converse(complement(converse(converse(X0))))) )],[refute_0_524,refute_0_525]) ).
cnf(refute_0_527,plain,
converse(complement(converse(converse(X0)))) = converse(complement(X0)),
inference(resolve,[$cnf( $equal(complement(converse(converse(X0))),complement(X0)) )],[refute_0_523,refute_0_526]) ).
cnf(refute_0_528,plain,
meet(converse(X0),converse(complement(converse(converse(X0))))) = meet(converse(X0),converse(complement(converse(converse(X0))))),
introduced(tautology,[refl,[$fot(meet(converse(X0),converse(complement(converse(converse(X0))))))]]) ).
cnf(refute_0_529,plain,
( converse(complement(converse(converse(X0)))) != converse(complement(X0))
| meet(converse(X0),converse(complement(converse(converse(X0))))) != meet(converse(X0),converse(complement(converse(converse(X0)))))
| meet(converse(X0),converse(complement(converse(converse(X0))))) = meet(converse(X0),converse(complement(X0))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(X0),converse(complement(converse(converse(X0))))),meet(converse(X0),converse(complement(converse(converse(X0)))))) ),[1,1],$fot(converse(complement(X0)))]]) ).
cnf(refute_0_530,plain,
( converse(complement(converse(converse(X0)))) != converse(complement(X0))
| meet(converse(X0),converse(complement(converse(converse(X0))))) = meet(converse(X0),converse(complement(X0))) ),
inference(resolve,[$cnf( $equal(meet(converse(X0),converse(complement(converse(converse(X0))))),meet(converse(X0),converse(complement(converse(converse(X0)))))) )],[refute_0_528,refute_0_529]) ).
cnf(refute_0_531,plain,
meet(converse(X0),converse(complement(converse(converse(X0))))) = meet(converse(X0),converse(complement(X0))),
inference(resolve,[$cnf( $equal(converse(complement(converse(converse(X0)))),converse(complement(X0))) )],[refute_0_527,refute_0_530]) ).
cnf(refute_0_532,plain,
complement(meet(converse(X0),converse(complement(converse(converse(X0)))))) = complement(meet(converse(X0),converse(complement(converse(converse(X0)))))),
introduced(tautology,[refl,[$fot(complement(meet(converse(X0),converse(complement(converse(converse(X0)))))))]]) ).
cnf(refute_0_533,plain,
( complement(meet(converse(X0),converse(complement(converse(converse(X0)))))) != complement(meet(converse(X0),converse(complement(converse(converse(X0))))))
| meet(converse(X0),converse(complement(converse(converse(X0))))) != meet(converse(X0),converse(complement(X0)))
| complement(meet(converse(X0),converse(complement(converse(converse(X0)))))) = complement(meet(converse(X0),converse(complement(X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(converse(X0),converse(complement(converse(converse(X0)))))),complement(meet(converse(X0),converse(complement(converse(converse(X0))))))) ),[1,0],$fot(meet(converse(X0),converse(complement(X0))))]]) ).
cnf(refute_0_534,plain,
( meet(converse(X0),converse(complement(converse(converse(X0))))) != meet(converse(X0),converse(complement(X0)))
| complement(meet(converse(X0),converse(complement(converse(converse(X0)))))) = complement(meet(converse(X0),converse(complement(X0)))) ),
inference(resolve,[$cnf( $equal(complement(meet(converse(X0),converse(complement(converse(converse(X0)))))),complement(meet(converse(X0),converse(complement(converse(converse(X0))))))) )],[refute_0_532,refute_0_533]) ).
cnf(refute_0_535,plain,
complement(meet(converse(X0),converse(complement(converse(converse(X0)))))) = complement(meet(converse(X0),converse(complement(X0)))),
inference(resolve,[$cnf( $equal(meet(converse(X0),converse(complement(converse(converse(X0))))),meet(converse(X0),converse(complement(X0)))) )],[refute_0_531,refute_0_534]) ).
cnf(refute_0_536,plain,
converse(complement(meet(converse(X0),converse(complement(converse(converse(X0))))))) = converse(complement(meet(converse(X0),converse(complement(converse(converse(X0))))))),
introduced(tautology,[refl,[$fot(converse(complement(meet(converse(X0),converse(complement(converse(converse(X0))))))))]]) ).
cnf(refute_0_537,plain,
( complement(meet(converse(X0),converse(complement(converse(converse(X0)))))) != complement(meet(converse(X0),converse(complement(X0))))
| converse(complement(meet(converse(X0),converse(complement(converse(converse(X0))))))) != converse(complement(meet(converse(X0),converse(complement(converse(converse(X0)))))))
| converse(complement(meet(converse(X0),converse(complement(converse(converse(X0))))))) = converse(complement(meet(converse(X0),converse(complement(X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(meet(converse(X0),converse(complement(converse(converse(X0))))))),converse(complement(meet(converse(X0),converse(complement(converse(converse(X0)))))))) ),[1,0],$fot(complement(meet(converse(X0),converse(complement(X0)))))]]) ).
cnf(refute_0_538,plain,
( complement(meet(converse(X0),converse(complement(converse(converse(X0)))))) != complement(meet(converse(X0),converse(complement(X0))))
| converse(complement(meet(converse(X0),converse(complement(converse(converse(X0))))))) = converse(complement(meet(converse(X0),converse(complement(X0))))) ),
inference(resolve,[$cnf( $equal(converse(complement(meet(converse(X0),converse(complement(converse(converse(X0))))))),converse(complement(meet(converse(X0),converse(complement(converse(converse(X0)))))))) )],[refute_0_536,refute_0_537]) ).
cnf(refute_0_539,plain,
converse(complement(meet(converse(X0),converse(complement(converse(converse(X0))))))) = converse(complement(meet(converse(X0),converse(complement(X0))))),
inference(resolve,[$cnf( $equal(complement(meet(converse(X0),converse(complement(converse(converse(X0)))))),complement(meet(converse(X0),converse(complement(X0))))) )],[refute_0_535,refute_0_538]) ).
cnf(refute_0_540,plain,
join(X0,converse(complement(meet(converse(X0),converse(complement(converse(converse(X0)))))))) = join(X0,converse(complement(meet(converse(X0),converse(complement(converse(converse(X0)))))))),
introduced(tautology,[refl,[$fot(join(X0,converse(complement(meet(converse(X0),converse(complement(converse(converse(X0)))))))))]]) ).
cnf(refute_0_541,plain,
( converse(complement(meet(converse(X0),converse(complement(converse(converse(X0))))))) != converse(complement(meet(converse(X0),converse(complement(X0)))))
| join(X0,converse(complement(meet(converse(X0),converse(complement(converse(converse(X0)))))))) != join(X0,converse(complement(meet(converse(X0),converse(complement(converse(converse(X0))))))))
| join(X0,converse(complement(meet(converse(X0),converse(complement(converse(converse(X0)))))))) = join(X0,converse(complement(meet(converse(X0),converse(complement(X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X0,converse(complement(meet(converse(X0),converse(complement(converse(converse(X0)))))))),join(X0,converse(complement(meet(converse(X0),converse(complement(converse(converse(X0))))))))) ),[1,1],$fot(converse(complement(meet(converse(X0),converse(complement(X0))))))]]) ).
cnf(refute_0_542,plain,
( converse(complement(meet(converse(X0),converse(complement(converse(converse(X0))))))) != converse(complement(meet(converse(X0),converse(complement(X0)))))
| join(X0,converse(complement(meet(converse(X0),converse(complement(converse(converse(X0)))))))) = join(X0,converse(complement(meet(converse(X0),converse(complement(X0)))))) ),
inference(resolve,[$cnf( $equal(join(X0,converse(complement(meet(converse(X0),converse(complement(converse(converse(X0)))))))),join(X0,converse(complement(meet(converse(X0),converse(complement(converse(converse(X0))))))))) )],[refute_0_540,refute_0_541]) ).
cnf(refute_0_543,plain,
join(X0,converse(complement(meet(converse(X0),converse(complement(converse(converse(X0)))))))) = join(X0,converse(complement(meet(converse(X0),converse(complement(X0)))))),
inference(resolve,[$cnf( $equal(converse(complement(meet(converse(X0),converse(complement(converse(converse(X0))))))),converse(complement(meet(converse(X0),converse(complement(X0)))))) )],[refute_0_539,refute_0_542]) ).
cnf(refute_0_544,plain,
( join(X0,converse(complement(meet(converse(X0),converse(complement(converse(converse(X0)))))))) != join(X0,converse(complement(meet(converse(X0),converse(complement(X0))))))
| top != join(X0,converse(complement(meet(converse(X0),converse(complement(converse(converse(X0))))))))
| top = join(X0,converse(complement(meet(converse(X0),converse(complement(X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(X0,converse(complement(meet(converse(X0),converse(complement(converse(converse(X0))))))))) ),[1],$fot(join(X0,converse(complement(meet(converse(X0),converse(complement(X0)))))))]]) ).
cnf(refute_0_545,plain,
( top != join(X0,converse(complement(meet(converse(X0),converse(complement(converse(converse(X0))))))))
| top = join(X0,converse(complement(meet(converse(X0),converse(complement(X0)))))) ),
inference(resolve,[$cnf( $equal(join(X0,converse(complement(meet(converse(X0),converse(complement(converse(converse(X0)))))))),join(X0,converse(complement(meet(converse(X0),converse(complement(X0))))))) )],[refute_0_543,refute_0_544]) ).
cnf(refute_0_546,plain,
( converse(top) != join(X0,converse(complement(meet(converse(X0),converse(complement(converse(converse(X0))))))))
| top = join(X0,converse(complement(meet(converse(X0),converse(complement(X0)))))) ),
inference(resolve,[$cnf( $equal(top,join(X0,converse(complement(meet(converse(X0),converse(complement(converse(converse(X0))))))))) )],[refute_0_519,refute_0_545]) ).
cnf(refute_0_547,plain,
top = join(X0,converse(complement(meet(converse(X0),converse(complement(X0)))))),
inference(resolve,[$cnf( $equal(converse(top),join(X0,converse(complement(meet(converse(X0),converse(complement(converse(converse(X0))))))))) )],[refute_0_517,refute_0_546]) ).
cnf(refute_0_548,plain,
top = join(X_67,converse(complement(meet(converse(X_67),converse(complement(X_67)))))),
inference(subst,[],[refute_0_547:[bind(X0,$fot(X_67))]]) ).
cnf(refute_0_549,plain,
( top != join(X_67,converse(complement(meet(converse(X_67),converse(complement(X_67))))))
| join(X_67,converse(complement(meet(converse(X_67),converse(complement(X_67)))))) = top ),
inference(subst,[],[refute_0_5:[bind(X,$fot(top)),bind(Y,$fot(join(X_67,converse(complement(meet(converse(X_67),converse(complement(X_67))))))))]]) ).
cnf(refute_0_550,plain,
join(X_67,converse(complement(meet(converse(X_67),converse(complement(X_67)))))) = top,
inference(resolve,[$cnf( $equal(top,join(X_67,converse(complement(meet(converse(X_67),converse(complement(X_67))))))) )],[refute_0_548,refute_0_549]) ).
cnf(refute_0_551,plain,
( complement(converse(complement(meet(converse(X_67),converse(complement(X_67)))))) != join(complement(join(X_67,converse(complement(meet(converse(X_67),converse(complement(X_67))))))),meet(complement(converse(complement(meet(converse(X_67),converse(complement(X_67)))))),X_67))
| join(X_67,converse(complement(meet(converse(X_67),converse(complement(X_67)))))) != top
| complement(converse(complement(meet(converse(X_67),converse(complement(X_67)))))) = join(complement(top),meet(complement(converse(complement(meet(converse(X_67),converse(complement(X_67)))))),X_67)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(complement(meet(converse(X_67),converse(complement(X_67)))))),join(complement(join(X_67,converse(complement(meet(converse(X_67),converse(complement(X_67))))))),meet(complement(converse(complement(meet(converse(X_67),converse(complement(X_67)))))),X_67))) ),[1,0,0],$fot(top)]]) ).
cnf(refute_0_552,plain,
( complement(converse(complement(meet(converse(X_67),converse(complement(X_67)))))) != join(complement(join(X_67,converse(complement(meet(converse(X_67),converse(complement(X_67))))))),meet(complement(converse(complement(meet(converse(X_67),converse(complement(X_67)))))),X_67))
| complement(converse(complement(meet(converse(X_67),converse(complement(X_67)))))) = join(complement(top),meet(complement(converse(complement(meet(converse(X_67),converse(complement(X_67)))))),X_67)) ),
inference(resolve,[$cnf( $equal(join(X_67,converse(complement(meet(converse(X_67),converse(complement(X_67)))))),top) )],[refute_0_550,refute_0_551]) ).
cnf(refute_0_553,plain,
complement(converse(complement(meet(converse(X_67),converse(complement(X_67)))))) = join(complement(top),meet(complement(converse(complement(meet(converse(X_67),converse(complement(X_67)))))),X_67)),
inference(resolve,[$cnf( $equal(complement(converse(complement(meet(converse(X_67),converse(complement(X_67)))))),join(complement(join(X_67,converse(complement(meet(converse(X_67),converse(complement(X_67))))))),meet(complement(converse(complement(meet(converse(X_67),converse(complement(X_67)))))),X_67))) )],[refute_0_468,refute_0_552]) ).
cnf(refute_0_554,plain,
join(X_70,X_70) = complement(complement(join(X_70,X_70))),
inference(subst,[],[refute_0_313:[bind(X_43,$fot(join(X_70,X_70)))]]) ).
cnf(refute_0_555,plain,
meet(X_44,X_43) = meet(X_43,X_44),
inference(subst,[],[refute_0_50:[bind(X_6,$fot(X_44)),bind(X_7,$fot(X_43))]]) ).
cnf(refute_0_556,plain,
( meet(X_44,X_43) != meet(X_43,X_44)
| meet(X_43,X_44) = meet(X_44,X_43) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(meet(X_44,X_43))),bind(Y,$fot(meet(X_43,X_44)))]]) ).
cnf(refute_0_557,plain,
meet(X_43,X_44) = meet(X_44,X_43),
inference(resolve,[$cnf( $equal(meet(X_44,X_43),meet(X_43,X_44)) )],[refute_0_555,refute_0_556]) ).
cnf(refute_0_558,plain,
( X_43 != join(meet(X_43,X_44),complement(join(complement(X_43),X_44)))
| meet(X_43,X_44) != meet(X_44,X_43)
| X_43 = join(meet(X_44,X_43),complement(join(complement(X_43),X_44))) ),
introduced(tautology,[equality,[$cnf( $equal(X_43,join(meet(X_43,X_44),complement(join(complement(X_43),X_44)))) ),[1,0],$fot(meet(X_44,X_43))]]) ).
cnf(refute_0_559,plain,
( X_43 != join(meet(X_43,X_44),complement(join(complement(X_43),X_44)))
| X_43 = join(meet(X_44,X_43),complement(join(complement(X_43),X_44))) ),
inference(resolve,[$cnf( $equal(meet(X_43,X_44),meet(X_44,X_43)) )],[refute_0_557,refute_0_558]) ).
cnf(refute_0_560,plain,
X_43 = join(meet(X_44,X_43),complement(join(complement(X_43),X_44))),
inference(resolve,[$cnf( $equal(X_43,join(meet(X_43,X_44),complement(join(complement(X_43),X_44)))) )],[refute_0_453,refute_0_559]) ).
cnf(refute_0_561,plain,
complement(X_69) = join(meet(X_69,complement(X_69)),complement(join(complement(complement(X_69)),X_69))),
inference(subst,[],[refute_0_560:[bind(X_43,$fot(complement(X_69))),bind(X_44,$fot(X_69))]]) ).
cnf(refute_0_562,plain,
zero = meet(X_69,complement(X_69)),
inference(subst,[],[refute_0_90:[bind(X0,$fot(X_69))]]) ).
cnf(refute_0_563,plain,
( zero != meet(X_69,complement(X_69))
| meet(X_69,complement(X_69)) = zero ),
inference(subst,[],[refute_0_5:[bind(X,$fot(zero)),bind(Y,$fot(meet(X_69,complement(X_69))))]]) ).
cnf(refute_0_564,plain,
meet(X_69,complement(X_69)) = zero,
inference(resolve,[$cnf( $equal(zero,meet(X_69,complement(X_69))) )],[refute_0_562,refute_0_563]) ).
cnf(refute_0_565,plain,
( complement(X_69) != join(meet(X_69,complement(X_69)),complement(join(complement(complement(X_69)),X_69)))
| meet(X_69,complement(X_69)) != zero
| complement(X_69) = join(zero,complement(join(complement(complement(X_69)),X_69))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(X_69),join(meet(X_69,complement(X_69)),complement(join(complement(complement(X_69)),X_69)))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_566,plain,
( complement(X_69) != join(meet(X_69,complement(X_69)),complement(join(complement(complement(X_69)),X_69)))
| complement(X_69) = join(zero,complement(join(complement(complement(X_69)),X_69))) ),
inference(resolve,[$cnf( $equal(meet(X_69,complement(X_69)),zero) )],[refute_0_564,refute_0_565]) ).
cnf(refute_0_567,plain,
complement(X_69) = join(zero,complement(join(complement(complement(X_69)),X_69))),
inference(resolve,[$cnf( $equal(complement(X_69),join(meet(X_69,complement(X_69)),complement(join(complement(complement(X_69)),X_69)))) )],[refute_0_561,refute_0_566]) ).
cnf(refute_0_568,plain,
complement(complement(X_69)) = X_69,
inference(subst,[],[refute_0_315:[bind(X_43,$fot(X_69))]]) ).
cnf(refute_0_569,plain,
join(X_69,complement(complement(X_69))) = join(X_69,complement(complement(X_69))),
introduced(tautology,[refl,[$fot(join(X_69,complement(complement(X_69))))]]) ).
cnf(refute_0_570,plain,
( complement(complement(X_69)) != X_69
| join(X_69,complement(complement(X_69))) != join(X_69,complement(complement(X_69)))
| join(X_69,complement(complement(X_69))) = join(X_69,X_69) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_69,complement(complement(X_69))),join(X_69,complement(complement(X_69)))) ),[1,1],$fot(X_69)]]) ).
cnf(refute_0_571,plain,
( complement(complement(X_69)) != X_69
| join(X_69,complement(complement(X_69))) = join(X_69,X_69) ),
inference(resolve,[$cnf( $equal(join(X_69,complement(complement(X_69))),join(X_69,complement(complement(X_69)))) )],[refute_0_569,refute_0_570]) ).
cnf(refute_0_572,plain,
join(X_69,complement(complement(X_69))) = join(X_69,X_69),
inference(resolve,[$cnf( $equal(complement(complement(X_69)),X_69) )],[refute_0_568,refute_0_571]) ).
cnf(refute_0_573,plain,
join(complement(complement(X_69)),X_69) = join(X_69,complement(complement(X_69))),
inference(subst,[],[refute_0_7:[bind(X0,$fot(X_69)),bind(X1,$fot(complement(complement(X_69))))]]) ).
cnf(refute_0_574,plain,
( join(X_69,complement(complement(X_69))) != join(X_69,X_69)
| join(complement(complement(X_69)),X_69) != join(X_69,complement(complement(X_69)))
| join(complement(complement(X_69)),X_69) = join(X_69,X_69) ),
inference(subst,[],[refute_0_21:[bind(X,$fot(join(complement(complement(X_69)),X_69))),bind(Y,$fot(join(X_69,complement(complement(X_69))))),bind(Z,$fot(join(X_69,X_69)))]]) ).
cnf(refute_0_575,plain,
( join(X_69,complement(complement(X_69))) != join(X_69,X_69)
| join(complement(complement(X_69)),X_69) = join(X_69,X_69) ),
inference(resolve,[$cnf( $equal(join(complement(complement(X_69)),X_69),join(X_69,complement(complement(X_69)))) )],[refute_0_573,refute_0_574]) ).
cnf(refute_0_576,plain,
join(complement(complement(X_69)),X_69) = join(X_69,X_69),
inference(resolve,[$cnf( $equal(join(X_69,complement(complement(X_69))),join(X_69,X_69)) )],[refute_0_572,refute_0_575]) ).
cnf(refute_0_577,plain,
complement(join(complement(complement(X_69)),X_69)) = complement(join(complement(complement(X_69)),X_69)),
introduced(tautology,[refl,[$fot(complement(join(complement(complement(X_69)),X_69)))]]) ).
cnf(refute_0_578,plain,
( complement(join(complement(complement(X_69)),X_69)) != complement(join(complement(complement(X_69)),X_69))
| join(complement(complement(X_69)),X_69) != join(X_69,X_69)
| complement(join(complement(complement(X_69)),X_69)) = complement(join(X_69,X_69)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(complement(X_69)),X_69)),complement(join(complement(complement(X_69)),X_69))) ),[1,0],$fot(join(X_69,X_69))]]) ).
cnf(refute_0_579,plain,
( join(complement(complement(X_69)),X_69) != join(X_69,X_69)
| complement(join(complement(complement(X_69)),X_69)) = complement(join(X_69,X_69)) ),
inference(resolve,[$cnf( $equal(complement(join(complement(complement(X_69)),X_69)),complement(join(complement(complement(X_69)),X_69))) )],[refute_0_577,refute_0_578]) ).
cnf(refute_0_580,plain,
complement(join(complement(complement(X_69)),X_69)) = complement(join(X_69,X_69)),
inference(resolve,[$cnf( $equal(join(complement(complement(X_69)),X_69),join(X_69,X_69)) )],[refute_0_576,refute_0_579]) ).
cnf(refute_0_581,plain,
join(zero,complement(join(complement(complement(X_69)),X_69))) = complement(join(complement(complement(X_69)),X_69)),
inference(subst,[],[refute_0_336:[bind(X_43,$fot(complement(join(complement(complement(X_69)),X_69))))]]) ).
cnf(refute_0_582,plain,
( complement(join(complement(complement(X_69)),X_69)) != complement(join(X_69,X_69))
| join(zero,complement(join(complement(complement(X_69)),X_69))) != complement(join(complement(complement(X_69)),X_69))
| join(zero,complement(join(complement(complement(X_69)),X_69))) = complement(join(X_69,X_69)) ),
inference(subst,[],[refute_0_21:[bind(X,$fot(join(zero,complement(join(complement(complement(X_69)),X_69))))),bind(Y,$fot(complement(join(complement(complement(X_69)),X_69)))),bind(Z,$fot(complement(join(X_69,X_69))))]]) ).
cnf(refute_0_583,plain,
( complement(join(complement(complement(X_69)),X_69)) != complement(join(X_69,X_69))
| join(zero,complement(join(complement(complement(X_69)),X_69))) = complement(join(X_69,X_69)) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(complement(complement(X_69)),X_69))),complement(join(complement(complement(X_69)),X_69))) )],[refute_0_581,refute_0_582]) ).
cnf(refute_0_584,plain,
join(zero,complement(join(complement(complement(X_69)),X_69))) = complement(join(X_69,X_69)),
inference(resolve,[$cnf( $equal(complement(join(complement(complement(X_69)),X_69)),complement(join(X_69,X_69))) )],[refute_0_580,refute_0_583]) ).
cnf(refute_0_585,plain,
( complement(X_69) != join(zero,complement(join(complement(complement(X_69)),X_69)))
| join(zero,complement(join(complement(complement(X_69)),X_69))) != complement(join(X_69,X_69))
| complement(X_69) = complement(join(X_69,X_69)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(X_69),complement(join(X_69,X_69))) ),[0],$fot(join(zero,complement(join(complement(complement(X_69)),X_69))))]]) ).
cnf(refute_0_586,plain,
( complement(X_69) != join(zero,complement(join(complement(complement(X_69)),X_69)))
| complement(X_69) = complement(join(X_69,X_69)) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(complement(complement(X_69)),X_69))),complement(join(X_69,X_69))) )],[refute_0_584,refute_0_585]) ).
cnf(refute_0_587,plain,
complement(X_69) = complement(join(X_69,X_69)),
inference(resolve,[$cnf( $equal(complement(X_69),join(zero,complement(join(complement(complement(X_69)),X_69)))) )],[refute_0_567,refute_0_586]) ).
cnf(refute_0_588,plain,
complement(X_70) = complement(join(X_70,X_70)),
inference(subst,[],[refute_0_587:[bind(X_69,$fot(X_70))]]) ).
cnf(refute_0_589,plain,
( complement(X_70) != complement(join(X_70,X_70))
| complement(join(X_70,X_70)) = complement(X_70) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(complement(X_70))),bind(Y,$fot(complement(join(X_70,X_70))))]]) ).
cnf(refute_0_590,plain,
complement(join(X_70,X_70)) = complement(X_70),
inference(resolve,[$cnf( $equal(complement(X_70),complement(join(X_70,X_70))) )],[refute_0_588,refute_0_589]) ).
cnf(refute_0_591,plain,
( complement(join(X_70,X_70)) != complement(X_70)
| join(X_70,X_70) != complement(complement(join(X_70,X_70)))
| join(X_70,X_70) = complement(complement(X_70)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_70,X_70),complement(complement(join(X_70,X_70)))) ),[1,0],$fot(complement(X_70))]]) ).
cnf(refute_0_592,plain,
( join(X_70,X_70) != complement(complement(join(X_70,X_70)))
| join(X_70,X_70) = complement(complement(X_70)) ),
inference(resolve,[$cnf( $equal(complement(join(X_70,X_70)),complement(X_70)) )],[refute_0_590,refute_0_591]) ).
cnf(refute_0_593,plain,
join(X_70,X_70) = complement(complement(X_70)),
inference(resolve,[$cnf( $equal(join(X_70,X_70),complement(complement(join(X_70,X_70)))) )],[refute_0_554,refute_0_592]) ).
cnf(refute_0_594,plain,
complement(complement(X_70)) = X_70,
inference(subst,[],[refute_0_315:[bind(X_43,$fot(X_70))]]) ).
cnf(refute_0_595,plain,
( complement(complement(X_70)) != X_70
| join(X_70,X_70) != complement(complement(X_70))
| join(X_70,X_70) = X_70 ),
introduced(tautology,[equality,[$cnf( $equal(join(X_70,X_70),complement(complement(X_70))) ),[1],$fot(X_70)]]) ).
cnf(refute_0_596,plain,
( join(X_70,X_70) != complement(complement(X_70))
| join(X_70,X_70) = X_70 ),
inference(resolve,[$cnf( $equal(complement(complement(X_70)),X_70) )],[refute_0_594,refute_0_595]) ).
cnf(refute_0_597,plain,
join(X_70,X_70) = X_70,
inference(resolve,[$cnf( $equal(join(X_70,X_70),complement(complement(X_70))) )],[refute_0_593,refute_0_596]) ).
cnf(refute_0_598,plain,
join(zero,zero) = zero,
inference(subst,[],[refute_0_597:[bind(X_70,$fot(zero))]]) ).
cnf(refute_0_599,plain,
join(complement(converse(X0)),composition(converse(converse(X1)),complement(composition(converse(X1),converse(X0))))) = complement(converse(X0)),
inference(subst,[],[refute_0_133:[bind(X0,$fot(converse(X1))),bind(X1,$fot(converse(X0)))]]) ).
cnf(refute_0_600,plain,
( converse(composition(X0,X1)) != composition(converse(X1),converse(X0))
| composition(converse(X1),converse(X0)) = converse(composition(X0,X1)) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(converse(composition(X0,X1)))),bind(Y,$fot(composition(converse(X1),converse(X0))))]]) ).
cnf(refute_0_601,plain,
composition(converse(X1),converse(X0)) = converse(composition(X0,X1)),
inference(resolve,[$cnf( $equal(converse(composition(X0,X1)),composition(converse(X1),converse(X0))) )],[refute_0_135,refute_0_600]) ).
cnf(refute_0_602,plain,
( composition(converse(X1),converse(X0)) != converse(composition(X0,X1))
| join(complement(converse(X0)),composition(converse(converse(X1)),complement(composition(converse(X1),converse(X0))))) != complement(converse(X0))
| join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))) = complement(converse(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(X0)),composition(converse(converse(X1)),complement(composition(converse(X1),converse(X0))))),complement(converse(X0))) ),[0,1,1,0],$fot(converse(composition(X0,X1)))]]) ).
cnf(refute_0_603,plain,
( join(complement(converse(X0)),composition(converse(converse(X1)),complement(composition(converse(X1),converse(X0))))) != complement(converse(X0))
| join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))) = complement(converse(X0)) ),
inference(resolve,[$cnf( $equal(composition(converse(X1),converse(X0)),converse(composition(X0,X1))) )],[refute_0_601,refute_0_602]) ).
cnf(refute_0_604,plain,
join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))) = complement(converse(X0)),
inference(resolve,[$cnf( $equal(join(complement(converse(X0)),composition(converse(converse(X1)),complement(composition(converse(X1),converse(X0))))),complement(converse(X0))) )],[refute_0_599,refute_0_603]) ).
cnf(refute_0_605,plain,
converse(converse(X1)) = X1,
inference(subst,[],[refute_0_61:[bind(X0,$fot(X1))]]) ).
cnf(refute_0_606,plain,
composition(converse(converse(X1)),complement(converse(composition(X0,X1)))) = composition(converse(converse(X1)),complement(converse(composition(X0,X1)))),
introduced(tautology,[refl,[$fot(composition(converse(converse(X1)),complement(converse(composition(X0,X1)))))]]) ).
cnf(refute_0_607,plain,
( composition(converse(converse(X1)),complement(converse(composition(X0,X1)))) != composition(converse(converse(X1)),complement(converse(composition(X0,X1))))
| converse(converse(X1)) != X1
| composition(converse(converse(X1)),complement(converse(composition(X0,X1)))) = composition(X1,complement(converse(composition(X0,X1)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(converse(X1)),complement(converse(composition(X0,X1)))),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))) ),[1,0],$fot(X1)]]) ).
cnf(refute_0_608,plain,
( converse(converse(X1)) != X1
| composition(converse(converse(X1)),complement(converse(composition(X0,X1)))) = composition(X1,complement(converse(composition(X0,X1)))) ),
inference(resolve,[$cnf( $equal(composition(converse(converse(X1)),complement(converse(composition(X0,X1)))),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))) )],[refute_0_606,refute_0_607]) ).
cnf(refute_0_609,plain,
composition(converse(converse(X1)),complement(converse(composition(X0,X1)))) = composition(X1,complement(converse(composition(X0,X1)))),
inference(resolve,[$cnf( $equal(converse(converse(X1)),X1) )],[refute_0_605,refute_0_608]) ).
cnf(refute_0_610,plain,
join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))) = join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))),
introduced(tautology,[refl,[$fot(join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))))]]) ).
cnf(refute_0_611,plain,
( composition(converse(converse(X1)),complement(converse(composition(X0,X1)))) != composition(X1,complement(converse(composition(X0,X1))))
| join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))) != join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1)))))
| join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))) = join(complement(converse(X0)),composition(X1,complement(converse(composition(X0,X1))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))),join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1)))))) ),[1,1],$fot(composition(X1,complement(converse(composition(X0,X1)))))]]) ).
cnf(refute_0_612,plain,
( composition(converse(converse(X1)),complement(converse(composition(X0,X1)))) != composition(X1,complement(converse(composition(X0,X1))))
| join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))) = join(complement(converse(X0)),composition(X1,complement(converse(composition(X0,X1))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))),join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1)))))) )],[refute_0_610,refute_0_611]) ).
cnf(refute_0_613,plain,
join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))) = join(complement(converse(X0)),composition(X1,complement(converse(composition(X0,X1))))),
inference(resolve,[$cnf( $equal(composition(converse(converse(X1)),complement(converse(composition(X0,X1)))),composition(X1,complement(converse(composition(X0,X1))))) )],[refute_0_609,refute_0_612]) ).
cnf(refute_0_614,plain,
( join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))) != complement(converse(X0))
| join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))) != join(complement(converse(X0)),composition(X1,complement(converse(composition(X0,X1)))))
| join(complement(converse(X0)),composition(X1,complement(converse(composition(X0,X1))))) = complement(converse(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))),complement(converse(X0))) ),[0],$fot(join(complement(converse(X0)),composition(X1,complement(converse(composition(X0,X1))))))]]) ).
cnf(refute_0_615,plain,
( join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))) != complement(converse(X0))
| join(complement(converse(X0)),composition(X1,complement(converse(composition(X0,X1))))) = complement(converse(X0)) ),
inference(resolve,[$cnf( $equal(join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))),join(complement(converse(X0)),composition(X1,complement(converse(composition(X0,X1)))))) )],[refute_0_613,refute_0_614]) ).
cnf(refute_0_616,plain,
join(complement(converse(X0)),composition(X1,complement(converse(composition(X0,X1))))) = complement(converse(X0)),
inference(resolve,[$cnf( $equal(join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))),complement(converse(X0))) )],[refute_0_604,refute_0_615]) ).
cnf(refute_0_617,plain,
join(complement(converse(join(X_8,X_9))),composition(X_120,complement(converse(composition(join(X_8,X_9),X_120))))) = complement(converse(join(X_8,X_9))),
inference(subst,[],[refute_0_616:[bind(X0,$fot(join(X_8,X_9))),bind(X1,$fot(X_120))]]) ).
cnf(refute_0_618,plain,
join(converse(X_9),converse(X_8)) = join(converse(X_8),converse(X_9)),
inference(subst,[],[refute_0_2:[bind(X0,$fot(converse(X_9))),bind(X1,$fot(converse(X_8)))]]) ).
cnf(refute_0_619,plain,
converse(join(X_8,X_9)) = join(converse(X_8),converse(X_9)),
inference(subst,[],[refute_0_59:[bind(X0,$fot(X_8)),bind(X1,$fot(X_9))]]) ).
cnf(refute_0_620,plain,
( converse(join(X_8,X_9)) != join(converse(X_8),converse(X_9))
| join(converse(X_8),converse(X_9)) = converse(join(X_8,X_9)) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(converse(join(X_8,X_9)))),bind(Y,$fot(join(converse(X_8),converse(X_9))))]]) ).
cnf(refute_0_621,plain,
join(converse(X_8),converse(X_9)) = converse(join(X_8,X_9)),
inference(resolve,[$cnf( $equal(converse(join(X_8,X_9)),join(converse(X_8),converse(X_9))) )],[refute_0_619,refute_0_620]) ).
cnf(refute_0_622,plain,
( join(converse(X_8),converse(X_9)) != converse(join(X_8,X_9))
| join(converse(X_9),converse(X_8)) != join(converse(X_8),converse(X_9))
| join(converse(X_9),converse(X_8)) = converse(join(X_8,X_9)) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(X_9),converse(X_8)),join(converse(X_8),converse(X_9))) ),[1],$fot(converse(join(X_8,X_9)))]]) ).
cnf(refute_0_623,plain,
( join(converse(X_9),converse(X_8)) != join(converse(X_8),converse(X_9))
| join(converse(X_9),converse(X_8)) = converse(join(X_8,X_9)) ),
inference(resolve,[$cnf( $equal(join(converse(X_8),converse(X_9)),converse(join(X_8,X_9))) )],[refute_0_621,refute_0_622]) ).
cnf(refute_0_624,plain,
join(converse(X_9),converse(X_8)) = converse(join(X_8,X_9)),
inference(resolve,[$cnf( $equal(join(converse(X_9),converse(X_8)),join(converse(X_8),converse(X_9))) )],[refute_0_618,refute_0_623]) ).
cnf(refute_0_625,plain,
( converse(join(X0,X1)) != join(converse(X0),converse(X1))
| join(converse(X0),converse(X1)) = converse(join(X0,X1)) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(converse(join(X0,X1)))),bind(Y,$fot(join(converse(X0),converse(X1))))]]) ).
cnf(refute_0_626,plain,
join(converse(X0),converse(X1)) = converse(join(X0,X1)),
inference(resolve,[$cnf( $equal(converse(join(X0,X1)),join(converse(X0),converse(X1))) )],[refute_0_59,refute_0_625]) ).
cnf(refute_0_627,plain,
join(converse(X_9),converse(X_8)) = converse(join(X_9,X_8)),
inference(subst,[],[refute_0_626:[bind(X0,$fot(X_9)),bind(X1,$fot(X_8))]]) ).
cnf(refute_0_628,plain,
( join(converse(X_9),converse(X_8)) != converse(join(X_8,X_9))
| join(converse(X_9),converse(X_8)) != converse(join(X_9,X_8))
| converse(join(X_9,X_8)) = converse(join(X_8,X_9)) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(X_9),converse(X_8)),converse(join(X_8,X_9))) ),[0],$fot(converse(join(X_9,X_8)))]]) ).
cnf(refute_0_629,plain,
( join(converse(X_9),converse(X_8)) != converse(join(X_8,X_9))
| converse(join(X_9,X_8)) = converse(join(X_8,X_9)) ),
inference(resolve,[$cnf( $equal(join(converse(X_9),converse(X_8)),converse(join(X_9,X_8))) )],[refute_0_627,refute_0_628]) ).
cnf(refute_0_630,plain,
converse(join(X_9,X_8)) = converse(join(X_8,X_9)),
inference(resolve,[$cnf( $equal(join(converse(X_9),converse(X_8)),converse(join(X_8,X_9))) )],[refute_0_624,refute_0_629]) ).
cnf(refute_0_631,plain,
( converse(join(X_9,X_8)) != converse(join(X_8,X_9))
| converse(join(X_8,X_9)) = converse(join(X_9,X_8)) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(converse(join(X_9,X_8)))),bind(Y,$fot(converse(join(X_8,X_9))))]]) ).
cnf(refute_0_632,plain,
converse(join(X_8,X_9)) = converse(join(X_9,X_8)),
inference(resolve,[$cnf( $equal(converse(join(X_9,X_8)),converse(join(X_8,X_9))) )],[refute_0_630,refute_0_631]) ).
cnf(refute_0_633,plain,
( converse(join(X_8,X_9)) != converse(join(X_9,X_8))
| join(complement(converse(join(X_8,X_9))),composition(X_120,complement(converse(composition(join(X_8,X_9),X_120))))) != complement(converse(join(X_8,X_9)))
| join(complement(converse(join(X_8,X_9))),composition(X_120,complement(converse(composition(join(X_8,X_9),X_120))))) = complement(converse(join(X_9,X_8))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(join(X_8,X_9))),composition(X_120,complement(converse(composition(join(X_8,X_9),X_120))))),complement(converse(join(X_8,X_9)))) ),[1,0],$fot(converse(join(X_9,X_8)))]]) ).
cnf(refute_0_634,plain,
( join(complement(converse(join(X_8,X_9))),composition(X_120,complement(converse(composition(join(X_8,X_9),X_120))))) != complement(converse(join(X_8,X_9)))
| join(complement(converse(join(X_8,X_9))),composition(X_120,complement(converse(composition(join(X_8,X_9),X_120))))) = complement(converse(join(X_9,X_8))) ),
inference(resolve,[$cnf( $equal(converse(join(X_8,X_9)),converse(join(X_9,X_8))) )],[refute_0_632,refute_0_633]) ).
cnf(refute_0_635,plain,
join(complement(converse(join(X_8,X_9))),composition(X_120,complement(converse(composition(join(X_8,X_9),X_120))))) = complement(converse(join(X_9,X_8))),
inference(resolve,[$cnf( $equal(join(complement(converse(join(X_8,X_9))),composition(X_120,complement(converse(composition(join(X_8,X_9),X_120))))),complement(converse(join(X_8,X_9)))) )],[refute_0_617,refute_0_634]) ).
cnf(refute_0_636,plain,
( join(complement(converse(join(X_8,X_9))),composition(X_120,complement(converse(composition(join(X_8,X_9),X_120))))) != complement(converse(join(X_8,X_9)))
| join(complement(converse(join(X_8,X_9))),composition(X_120,complement(converse(composition(join(X_8,X_9),X_120))))) != complement(converse(join(X_9,X_8)))
| complement(converse(join(X_8,X_9))) = complement(converse(join(X_9,X_8))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(join(X_8,X_9))),composition(X_120,complement(converse(composition(join(X_8,X_9),X_120))))),complement(converse(join(X_9,X_8)))) ),[0],$fot(complement(converse(join(X_8,X_9))))]]) ).
cnf(refute_0_637,plain,
( join(complement(converse(join(X_8,X_9))),composition(X_120,complement(converse(composition(join(X_8,X_9),X_120))))) != complement(converse(join(X_9,X_8)))
| complement(converse(join(X_8,X_9))) = complement(converse(join(X_9,X_8))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(join(X_8,X_9))),composition(X_120,complement(converse(composition(join(X_8,X_9),X_120))))),complement(converse(join(X_8,X_9)))) )],[refute_0_617,refute_0_636]) ).
cnf(refute_0_638,plain,
complement(converse(join(X_8,X_9))) = complement(converse(join(X_9,X_8))),
inference(resolve,[$cnf( $equal(join(complement(converse(join(X_8,X_9))),composition(X_120,complement(converse(composition(join(X_8,X_9),X_120))))),complement(converse(join(X_9,X_8)))) )],[refute_0_635,refute_0_637]) ).
cnf(refute_0_639,plain,
complement(converse(join(complement(meet(converse(X_288),converse(complement(X_288)))),converse(complement(X_288))))) = complement(converse(join(converse(complement(X_288)),complement(meet(converse(X_288),converse(complement(X_288))))))),
inference(subst,[],[refute_0_638:[bind(X_8,$fot(complement(meet(converse(X_288),converse(complement(X_288)))))),bind(X_9,$fot(converse(complement(X_288))))]]) ).
cnf(refute_0_640,plain,
( converse(converse(X0)) != X0
| top != join(converse(X0),complement(meet(converse(X0),converse(complement(converse(converse(X0)))))))
| top = join(converse(X0),complement(meet(converse(X0),converse(complement(X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(converse(X0),complement(meet(converse(X0),converse(complement(converse(converse(X0)))))))) ),[1,1,0,1,0,0],$fot(X0)]]) ).
cnf(refute_0_641,plain,
( top != join(converse(X0),complement(meet(converse(X0),converse(complement(converse(converse(X0)))))))
| top = join(converse(X0),complement(meet(converse(X0),converse(complement(X0))))) ),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_0_61,refute_0_640]) ).
cnf(refute_0_642,plain,
top = join(converse(X0),complement(meet(converse(X0),converse(complement(X0))))),
inference(resolve,[$cnf( $equal(top,join(converse(X0),complement(meet(converse(X0),converse(complement(converse(converse(X0)))))))) )],[refute_0_512,refute_0_641]) ).
cnf(refute_0_643,plain,
top = join(converse(complement(X_43)),complement(meet(converse(complement(X_43)),converse(complement(complement(X_43)))))),
inference(subst,[],[refute_0_642:[bind(X0,$fot(complement(X_43)))]]) ).
cnf(refute_0_644,plain,
( complement(complement(X_43)) != X_43
| top != join(converse(complement(X_43)),complement(meet(converse(complement(X_43)),converse(complement(complement(X_43))))))
| top = join(converse(complement(X_43)),complement(meet(converse(complement(X_43)),converse(X_43)))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(converse(complement(X_43)),complement(meet(converse(complement(X_43)),converse(complement(complement(X_43))))))) ),[1,1,0,1,0],$fot(X_43)]]) ).
cnf(refute_0_645,plain,
( top != join(converse(complement(X_43)),complement(meet(converse(complement(X_43)),converse(complement(complement(X_43))))))
| top = join(converse(complement(X_43)),complement(meet(converse(complement(X_43)),converse(X_43)))) ),
inference(resolve,[$cnf( $equal(complement(complement(X_43)),X_43) )],[refute_0_315,refute_0_644]) ).
cnf(refute_0_646,plain,
top = join(converse(complement(X_43)),complement(meet(converse(complement(X_43)),converse(X_43)))),
inference(resolve,[$cnf( $equal(top,join(converse(complement(X_43)),complement(meet(converse(complement(X_43)),converse(complement(complement(X_43))))))) )],[refute_0_643,refute_0_645]) ).
cnf(refute_0_647,plain,
meet(converse(complement(X_43)),converse(X_43)) = meet(converse(X_43),converse(complement(X_43))),
inference(subst,[],[refute_0_413:[bind(X_6,$fot(converse(X_43))),bind(X_7,$fot(converse(complement(X_43))))]]) ).
cnf(refute_0_648,plain,
complement(meet(converse(complement(X_43)),converse(X_43))) = complement(meet(converse(complement(X_43)),converse(X_43))),
introduced(tautology,[refl,[$fot(complement(meet(converse(complement(X_43)),converse(X_43))))]]) ).
cnf(refute_0_649,plain,
( complement(meet(converse(complement(X_43)),converse(X_43))) != complement(meet(converse(complement(X_43)),converse(X_43)))
| meet(converse(complement(X_43)),converse(X_43)) != meet(converse(X_43),converse(complement(X_43)))
| complement(meet(converse(complement(X_43)),converse(X_43))) = complement(meet(converse(X_43),converse(complement(X_43)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(converse(complement(X_43)),converse(X_43))),complement(meet(converse(complement(X_43)),converse(X_43)))) ),[1,0],$fot(meet(converse(X_43),converse(complement(X_43))))]]) ).
cnf(refute_0_650,plain,
( meet(converse(complement(X_43)),converse(X_43)) != meet(converse(X_43),converse(complement(X_43)))
| complement(meet(converse(complement(X_43)),converse(X_43))) = complement(meet(converse(X_43),converse(complement(X_43)))) ),
inference(resolve,[$cnf( $equal(complement(meet(converse(complement(X_43)),converse(X_43))),complement(meet(converse(complement(X_43)),converse(X_43)))) )],[refute_0_648,refute_0_649]) ).
cnf(refute_0_651,plain,
complement(meet(converse(complement(X_43)),converse(X_43))) = complement(meet(converse(X_43),converse(complement(X_43)))),
inference(resolve,[$cnf( $equal(meet(converse(complement(X_43)),converse(X_43)),meet(converse(X_43),converse(complement(X_43)))) )],[refute_0_647,refute_0_650]) ).
cnf(refute_0_652,plain,
join(converse(complement(X_43)),complement(meet(converse(complement(X_43)),converse(X_43)))) = join(converse(complement(X_43)),complement(meet(converse(complement(X_43)),converse(X_43)))),
introduced(tautology,[refl,[$fot(join(converse(complement(X_43)),complement(meet(converse(complement(X_43)),converse(X_43)))))]]) ).
cnf(refute_0_653,plain,
( complement(meet(converse(complement(X_43)),converse(X_43))) != complement(meet(converse(X_43),converse(complement(X_43))))
| join(converse(complement(X_43)),complement(meet(converse(complement(X_43)),converse(X_43)))) != join(converse(complement(X_43)),complement(meet(converse(complement(X_43)),converse(X_43))))
| join(converse(complement(X_43)),complement(meet(converse(complement(X_43)),converse(X_43)))) = join(converse(complement(X_43)),complement(meet(converse(X_43),converse(complement(X_43))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(complement(X_43)),complement(meet(converse(complement(X_43)),converse(X_43)))),join(converse(complement(X_43)),complement(meet(converse(complement(X_43)),converse(X_43))))) ),[1,1],$fot(complement(meet(converse(X_43),converse(complement(X_43)))))]]) ).
cnf(refute_0_654,plain,
( complement(meet(converse(complement(X_43)),converse(X_43))) != complement(meet(converse(X_43),converse(complement(X_43))))
| join(converse(complement(X_43)),complement(meet(converse(complement(X_43)),converse(X_43)))) = join(converse(complement(X_43)),complement(meet(converse(X_43),converse(complement(X_43))))) ),
inference(resolve,[$cnf( $equal(join(converse(complement(X_43)),complement(meet(converse(complement(X_43)),converse(X_43)))),join(converse(complement(X_43)),complement(meet(converse(complement(X_43)),converse(X_43))))) )],[refute_0_652,refute_0_653]) ).
cnf(refute_0_655,plain,
join(converse(complement(X_43)),complement(meet(converse(complement(X_43)),converse(X_43)))) = join(converse(complement(X_43)),complement(meet(converse(X_43),converse(complement(X_43))))),
inference(resolve,[$cnf( $equal(complement(meet(converse(complement(X_43)),converse(X_43))),complement(meet(converse(X_43),converse(complement(X_43))))) )],[refute_0_651,refute_0_654]) ).
cnf(refute_0_656,plain,
( join(converse(complement(X_43)),complement(meet(converse(complement(X_43)),converse(X_43)))) != join(converse(complement(X_43)),complement(meet(converse(X_43),converse(complement(X_43)))))
| top != join(converse(complement(X_43)),complement(meet(converse(complement(X_43)),converse(X_43))))
| top = join(converse(complement(X_43)),complement(meet(converse(X_43),converse(complement(X_43))))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(converse(complement(X_43)),complement(meet(converse(complement(X_43)),converse(X_43))))) ),[1],$fot(join(converse(complement(X_43)),complement(meet(converse(X_43),converse(complement(X_43))))))]]) ).
cnf(refute_0_657,plain,
( top != join(converse(complement(X_43)),complement(meet(converse(complement(X_43)),converse(X_43))))
| top = join(converse(complement(X_43)),complement(meet(converse(X_43),converse(complement(X_43))))) ),
inference(resolve,[$cnf( $equal(join(converse(complement(X_43)),complement(meet(converse(complement(X_43)),converse(X_43)))),join(converse(complement(X_43)),complement(meet(converse(X_43),converse(complement(X_43)))))) )],[refute_0_655,refute_0_656]) ).
cnf(refute_0_658,plain,
top = join(converse(complement(X_43)),complement(meet(converse(X_43),converse(complement(X_43))))),
inference(resolve,[$cnf( $equal(top,join(converse(complement(X_43)),complement(meet(converse(complement(X_43)),converse(X_43))))) )],[refute_0_646,refute_0_657]) ).
cnf(refute_0_659,plain,
top = join(converse(complement(X_288)),complement(meet(converse(X_288),converse(complement(X_288))))),
inference(subst,[],[refute_0_658:[bind(X_43,$fot(X_288))]]) ).
cnf(refute_0_660,plain,
( top != join(converse(complement(X_288)),complement(meet(converse(X_288),converse(complement(X_288)))))
| join(converse(complement(X_288)),complement(meet(converse(X_288),converse(complement(X_288))))) = top ),
inference(subst,[],[refute_0_5:[bind(X,$fot(top)),bind(Y,$fot(join(converse(complement(X_288)),complement(meet(converse(X_288),converse(complement(X_288)))))))]]) ).
cnf(refute_0_661,plain,
join(converse(complement(X_288)),complement(meet(converse(X_288),converse(complement(X_288))))) = top,
inference(resolve,[$cnf( $equal(top,join(converse(complement(X_288)),complement(meet(converse(X_288),converse(complement(X_288)))))) )],[refute_0_659,refute_0_660]) ).
cnf(refute_0_662,plain,
( complement(converse(join(complement(meet(converse(X_288),converse(complement(X_288)))),converse(complement(X_288))))) != complement(converse(join(converse(complement(X_288)),complement(meet(converse(X_288),converse(complement(X_288)))))))
| join(converse(complement(X_288)),complement(meet(converse(X_288),converse(complement(X_288))))) != top
| complement(converse(join(complement(meet(converse(X_288),converse(complement(X_288)))),converse(complement(X_288))))) = complement(converse(top)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(join(complement(meet(converse(X_288),converse(complement(X_288)))),converse(complement(X_288))))),complement(converse(join(converse(complement(X_288)),complement(meet(converse(X_288),converse(complement(X_288)))))))) ),[1,0,0],$fot(top)]]) ).
cnf(refute_0_663,plain,
( complement(converse(join(complement(meet(converse(X_288),converse(complement(X_288)))),converse(complement(X_288))))) != complement(converse(join(converse(complement(X_288)),complement(meet(converse(X_288),converse(complement(X_288)))))))
| complement(converse(join(complement(meet(converse(X_288),converse(complement(X_288)))),converse(complement(X_288))))) = complement(converse(top)) ),
inference(resolve,[$cnf( $equal(join(converse(complement(X_288)),complement(meet(converse(X_288),converse(complement(X_288))))),top) )],[refute_0_661,refute_0_662]) ).
cnf(refute_0_664,plain,
complement(converse(join(complement(meet(converse(X_288),converse(complement(X_288)))),converse(complement(X_288))))) = complement(converse(top)),
inference(resolve,[$cnf( $equal(complement(converse(join(complement(meet(converse(X_288),converse(complement(X_288)))),converse(complement(X_288))))),complement(converse(join(converse(complement(X_288)),complement(meet(converse(X_288),converse(complement(X_288)))))))) )],[refute_0_639,refute_0_663]) ).
cnf(refute_0_665,plain,
meet(complement(converse(complement(meet(converse(X_288),converse(complement(X_288)))))),X_288) = meet(X_288,complement(converse(complement(meet(converse(X_288),converse(complement(X_288))))))),
inference(subst,[],[refute_0_413:[bind(X_6,$fot(X_288)),bind(X_7,$fot(complement(converse(complement(meet(converse(X_288),converse(complement(X_288))))))))]]) ).
cnf(refute_0_666,plain,
join(complement(X_6),complement(X_7)) = complement(meet(X_6,X_7)),
inference(subst,[],[refute_0_496:[bind(X0,$fot(X_6)),bind(X1,$fot(X_7))]]) ).
cnf(refute_0_667,plain,
meet(join(complement(X_6),complement(X_7)),X1) = meet(join(complement(X_6),complement(X_7)),X1),
introduced(tautology,[refl,[$fot(meet(join(complement(X_6),complement(X_7)),X1))]]) ).
cnf(refute_0_668,plain,
( join(complement(X_6),complement(X_7)) != complement(meet(X_6,X_7))
| meet(join(complement(X_6),complement(X_7)),X1) != meet(join(complement(X_6),complement(X_7)),X1)
| meet(join(complement(X_6),complement(X_7)),X1) = meet(complement(meet(X_6,X_7)),X1) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(complement(X_6),complement(X_7)),X1),meet(join(complement(X_6),complement(X_7)),X1)) ),[1,0],$fot(complement(meet(X_6,X_7)))]]) ).
cnf(refute_0_669,plain,
( join(complement(X_6),complement(X_7)) != complement(meet(X_6,X_7))
| meet(join(complement(X_6),complement(X_7)),X1) = meet(complement(meet(X_6,X_7)),X1) ),
inference(resolve,[$cnf( $equal(meet(join(complement(X_6),complement(X_7)),X1),meet(join(complement(X_6),complement(X_7)),X1)) )],[refute_0_667,refute_0_668]) ).
cnf(refute_0_670,plain,
meet(join(complement(X_6),complement(X_7)),X1) = meet(complement(meet(X_6,X_7)),X1),
inference(resolve,[$cnf( $equal(join(complement(X_6),complement(X_7)),complement(meet(X_6,X_7))) )],[refute_0_666,refute_0_669]) ).
cnf(refute_0_671,plain,
( meet(join(complement(X_6),complement(X_7)),X1) != complement(join(meet(X_6,X_7),complement(X1)))
| meet(join(complement(X_6),complement(X_7)),X1) != meet(complement(meet(X_6,X_7)),X1)
| meet(complement(meet(X_6,X_7)),X1) = complement(join(meet(X_6,X_7),complement(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(complement(X_6),complement(X_7)),X1),complement(join(meet(X_6,X_7),complement(X1)))) ),[0],$fot(meet(complement(meet(X_6,X_7)),X1))]]) ).
cnf(refute_0_672,plain,
( meet(join(complement(X_6),complement(X_7)),X1) != complement(join(meet(X_6,X_7),complement(X1)))
| meet(complement(meet(X_6,X_7)),X1) = complement(join(meet(X_6,X_7),complement(X1))) ),
inference(resolve,[$cnf( $equal(meet(join(complement(X_6),complement(X_7)),X1),meet(complement(meet(X_6,X_7)),X1)) )],[refute_0_670,refute_0_671]) ).
cnf(refute_0_673,plain,
meet(complement(meet(X_6,X_7)),X1) = complement(join(meet(X_6,X_7),complement(X1))),
inference(resolve,[$cnf( $equal(meet(join(complement(X_6),complement(X_7)),X1),complement(join(meet(X_6,X_7),complement(X1)))) )],[refute_0_107,refute_0_672]) ).
cnf(refute_0_674,plain,
meet(complement(meet(top,X_153)),X_151) = complement(join(meet(top,X_153),complement(X_151))),
inference(subst,[],[refute_0_673:[bind(X1,$fot(X_151)),bind(X_6,$fot(top)),bind(X_7,$fot(X_153))]]) ).
cnf(refute_0_675,plain,
join(zero,complement(X1)) = complement(X1),
inference(subst,[],[refute_0_309:[bind(X_48,$fot(X1))]]) ).
cnf(refute_0_676,plain,
complement(join(zero,complement(X1))) = complement(join(zero,complement(X1))),
introduced(tautology,[refl,[$fot(complement(join(zero,complement(X1))))]]) ).
cnf(refute_0_677,plain,
( complement(join(zero,complement(X1))) != complement(join(zero,complement(X1)))
| join(zero,complement(X1)) != complement(X1)
| complement(join(zero,complement(X1))) = complement(complement(X1)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(zero,complement(X1))),complement(join(zero,complement(X1)))) ),[1,0],$fot(complement(X1))]]) ).
cnf(refute_0_678,plain,
( join(zero,complement(X1)) != complement(X1)
| complement(join(zero,complement(X1))) = complement(complement(X1)) ),
inference(resolve,[$cnf( $equal(complement(join(zero,complement(X1))),complement(join(zero,complement(X1)))) )],[refute_0_676,refute_0_677]) ).
cnf(refute_0_679,plain,
complement(join(zero,complement(X1))) = complement(complement(X1)),
inference(resolve,[$cnf( $equal(join(zero,complement(X1)),complement(X1)) )],[refute_0_675,refute_0_678]) ).
cnf(refute_0_680,plain,
( complement(join(zero,complement(X1))) != complement(complement(X1))
| meet(top,X1) != complement(join(zero,complement(X1)))
| meet(top,X1) = complement(complement(X1)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,X1),complement(join(zero,complement(X1)))) ),[1],$fot(complement(complement(X1)))]]) ).
cnf(refute_0_681,plain,
( meet(top,X1) != complement(join(zero,complement(X1)))
| meet(top,X1) = complement(complement(X1)) ),
inference(resolve,[$cnf( $equal(complement(join(zero,complement(X1))),complement(complement(X1))) )],[refute_0_679,refute_0_680]) ).
cnf(refute_0_682,plain,
meet(top,X1) = complement(complement(X1)),
inference(resolve,[$cnf( $equal(meet(top,X1),complement(join(zero,complement(X1)))) )],[refute_0_224,refute_0_681]) ).
cnf(refute_0_683,plain,
( complement(complement(X1)) != X1
| meet(top,X1) != complement(complement(X1))
| meet(top,X1) = X1 ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,X1),complement(complement(X1))) ),[1],$fot(X1)]]) ).
cnf(refute_0_684,plain,
( meet(top,X1) != complement(complement(X1))
| meet(top,X1) = X1 ),
inference(resolve,[$cnf( $equal(complement(complement(X1)),X1) )],[refute_0_316,refute_0_683]) ).
cnf(refute_0_685,plain,
meet(top,X1) = X1,
inference(resolve,[$cnf( $equal(meet(top,X1),complement(complement(X1))) )],[refute_0_682,refute_0_684]) ).
cnf(refute_0_686,plain,
meet(top,X_153) = X_153,
inference(subst,[],[refute_0_685:[bind(X1,$fot(X_153))]]) ).
cnf(refute_0_687,plain,
( meet(complement(meet(top,X_153)),X_151) != complement(join(meet(top,X_153),complement(X_151)))
| meet(top,X_153) != X_153
| meet(complement(meet(top,X_153)),X_151) = complement(join(X_153,complement(X_151))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(meet(top,X_153)),X_151),complement(join(meet(top,X_153),complement(X_151)))) ),[1,0,0],$fot(X_153)]]) ).
cnf(refute_0_688,plain,
( meet(complement(meet(top,X_153)),X_151) != complement(join(meet(top,X_153),complement(X_151)))
| meet(complement(meet(top,X_153)),X_151) = complement(join(X_153,complement(X_151))) ),
inference(resolve,[$cnf( $equal(meet(top,X_153),X_153) )],[refute_0_686,refute_0_687]) ).
cnf(refute_0_689,plain,
meet(complement(meet(top,X_153)),X_151) = complement(join(X_153,complement(X_151))),
inference(resolve,[$cnf( $equal(meet(complement(meet(top,X_153)),X_151),complement(join(meet(top,X_153),complement(X_151)))) )],[refute_0_674,refute_0_688]) ).
cnf(refute_0_690,plain,
complement(meet(top,X_153)) = complement(meet(top,X_153)),
introduced(tautology,[refl,[$fot(complement(meet(top,X_153)))]]) ).
cnf(refute_0_691,plain,
( complement(meet(top,X_153)) != complement(meet(top,X_153))
| meet(top,X_153) != X_153
| complement(meet(top,X_153)) = complement(X_153) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(top,X_153)),complement(meet(top,X_153))) ),[1,0],$fot(X_153)]]) ).
cnf(refute_0_692,plain,
( meet(top,X_153) != X_153
| complement(meet(top,X_153)) = complement(X_153) ),
inference(resolve,[$cnf( $equal(complement(meet(top,X_153)),complement(meet(top,X_153))) )],[refute_0_690,refute_0_691]) ).
cnf(refute_0_693,plain,
complement(meet(top,X_153)) = complement(X_153),
inference(resolve,[$cnf( $equal(meet(top,X_153),X_153) )],[refute_0_686,refute_0_692]) ).
cnf(refute_0_694,plain,
meet(complement(meet(top,X_153)),X_151) = meet(complement(meet(top,X_153)),X_151),
introduced(tautology,[refl,[$fot(meet(complement(meet(top,X_153)),X_151))]]) ).
cnf(refute_0_695,plain,
( complement(meet(top,X_153)) != complement(X_153)
| meet(complement(meet(top,X_153)),X_151) != meet(complement(meet(top,X_153)),X_151)
| meet(complement(meet(top,X_153)),X_151) = meet(complement(X_153),X_151) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(meet(top,X_153)),X_151),meet(complement(meet(top,X_153)),X_151)) ),[1,0],$fot(complement(X_153))]]) ).
cnf(refute_0_696,plain,
( complement(meet(top,X_153)) != complement(X_153)
| meet(complement(meet(top,X_153)),X_151) = meet(complement(X_153),X_151) ),
inference(resolve,[$cnf( $equal(meet(complement(meet(top,X_153)),X_151),meet(complement(meet(top,X_153)),X_151)) )],[refute_0_694,refute_0_695]) ).
cnf(refute_0_697,plain,
meet(complement(meet(top,X_153)),X_151) = meet(complement(X_153),X_151),
inference(resolve,[$cnf( $equal(complement(meet(top,X_153)),complement(X_153)) )],[refute_0_693,refute_0_696]) ).
cnf(refute_0_698,plain,
( meet(complement(meet(top,X_153)),X_151) != complement(join(X_153,complement(X_151)))
| meet(complement(meet(top,X_153)),X_151) != meet(complement(X_153),X_151)
| meet(complement(X_153),X_151) = complement(join(X_153,complement(X_151))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(meet(top,X_153)),X_151),complement(join(X_153,complement(X_151)))) ),[0],$fot(meet(complement(X_153),X_151))]]) ).
cnf(refute_0_699,plain,
( meet(complement(meet(top,X_153)),X_151) != complement(join(X_153,complement(X_151)))
| meet(complement(X_153),X_151) = complement(join(X_153,complement(X_151))) ),
inference(resolve,[$cnf( $equal(meet(complement(meet(top,X_153)),X_151),meet(complement(X_153),X_151)) )],[refute_0_697,refute_0_698]) ).
cnf(refute_0_700,plain,
meet(complement(X_153),X_151) = complement(join(X_153,complement(X_151))),
inference(resolve,[$cnf( $equal(meet(complement(meet(top,X_153)),X_151),complement(join(X_153,complement(X_151)))) )],[refute_0_689,refute_0_699]) ).
cnf(refute_0_701,plain,
meet(complement(X_155),X_154) = complement(join(X_155,complement(X_154))),
inference(subst,[],[refute_0_700:[bind(X_151,$fot(X_154)),bind(X_153,$fot(X_155))]]) ).
cnf(refute_0_702,plain,
join(complement(X_154),X_155) = join(X_155,complement(X_154)),
inference(subst,[],[refute_0_2:[bind(X0,$fot(complement(X_154))),bind(X1,$fot(X_155))]]) ).
cnf(refute_0_703,plain,
( join(complement(X_154),X_155) != join(X_155,complement(X_154))
| join(X_155,complement(X_154)) = join(complement(X_154),X_155) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(join(complement(X_154),X_155))),bind(Y,$fot(join(X_155,complement(X_154))))]]) ).
cnf(refute_0_704,plain,
join(X_155,complement(X_154)) = join(complement(X_154),X_155),
inference(resolve,[$cnf( $equal(join(complement(X_154),X_155),join(X_155,complement(X_154))) )],[refute_0_702,refute_0_703]) ).
cnf(refute_0_705,plain,
( join(X_155,complement(X_154)) != join(complement(X_154),X_155)
| meet(complement(X_155),X_154) != complement(join(X_155,complement(X_154)))
| meet(complement(X_155),X_154) = complement(join(complement(X_154),X_155)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(X_155),X_154),complement(join(X_155,complement(X_154)))) ),[1,0],$fot(join(complement(X_154),X_155))]]) ).
cnf(refute_0_706,plain,
( meet(complement(X_155),X_154) != complement(join(X_155,complement(X_154)))
| meet(complement(X_155),X_154) = complement(join(complement(X_154),X_155)) ),
inference(resolve,[$cnf( $equal(join(X_155,complement(X_154)),join(complement(X_154),X_155)) )],[refute_0_704,refute_0_705]) ).
cnf(refute_0_707,plain,
meet(complement(X_155),X_154) = complement(join(complement(X_154),X_155)),
inference(resolve,[$cnf( $equal(meet(complement(X_155),X_154),complement(join(X_155,complement(X_154)))) )],[refute_0_701,refute_0_706]) ).
cnf(refute_0_708,plain,
( meet(complement(X_155),X_154) != complement(join(complement(X_154),X_155))
| complement(join(complement(X_154),X_155)) = meet(complement(X_155),X_154) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(meet(complement(X_155),X_154))),bind(Y,$fot(complement(join(complement(X_154),X_155))))]]) ).
cnf(refute_0_709,plain,
complement(join(complement(X_154),X_155)) = meet(complement(X_155),X_154),
inference(resolve,[$cnf( $equal(meet(complement(X_155),X_154),complement(join(complement(X_154),X_155))) )],[refute_0_707,refute_0_708]) ).
cnf(refute_0_710,plain,
complement(join(complement(X_288),converse(complement(meet(converse(X_288),converse(complement(X_288))))))) = meet(complement(converse(complement(meet(converse(X_288),converse(complement(X_288)))))),X_288),
inference(subst,[],[refute_0_709:[bind(X_154,$fot(X_288)),bind(X_155,$fot(converse(complement(meet(converse(X_288),converse(complement(X_288)))))))]]) ).
cnf(refute_0_711,plain,
( complement(join(complement(X_288),converse(complement(meet(converse(X_288),converse(complement(X_288))))))) != meet(complement(converse(complement(meet(converse(X_288),converse(complement(X_288)))))),X_288)
| meet(complement(converse(complement(meet(converse(X_288),converse(complement(X_288)))))),X_288) != meet(X_288,complement(converse(complement(meet(converse(X_288),converse(complement(X_288)))))))
| complement(join(complement(X_288),converse(complement(meet(converse(X_288),converse(complement(X_288))))))) = meet(X_288,complement(converse(complement(meet(converse(X_288),converse(complement(X_288))))))) ),
inference(subst,[],[refute_0_21:[bind(X,$fot(complement(join(complement(X_288),converse(complement(meet(converse(X_288),converse(complement(X_288))))))))),bind(Y,$fot(meet(complement(converse(complement(meet(converse(X_288),converse(complement(X_288)))))),X_288))),bind(Z,$fot(meet(X_288,complement(converse(complement(meet(converse(X_288),converse(complement(X_288)))))))))]]) ).
cnf(refute_0_712,plain,
( meet(complement(converse(complement(meet(converse(X_288),converse(complement(X_288)))))),X_288) != meet(X_288,complement(converse(complement(meet(converse(X_288),converse(complement(X_288)))))))
| complement(join(complement(X_288),converse(complement(meet(converse(X_288),converse(complement(X_288))))))) = meet(X_288,complement(converse(complement(meet(converse(X_288),converse(complement(X_288))))))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_288),converse(complement(meet(converse(X_288),converse(complement(X_288))))))),meet(complement(converse(complement(meet(converse(X_288),converse(complement(X_288)))))),X_288)) )],[refute_0_710,refute_0_711]) ).
cnf(refute_0_713,plain,
complement(join(complement(X_288),converse(complement(meet(converse(X_288),converse(complement(X_288))))))) = meet(X_288,complement(converse(complement(meet(converse(X_288),converse(complement(X_288))))))),
inference(resolve,[$cnf( $equal(meet(complement(converse(complement(meet(converse(X_288),converse(complement(X_288)))))),X_288),meet(X_288,complement(converse(complement(meet(converse(X_288),converse(complement(X_288)))))))) )],[refute_0_665,refute_0_712]) ).
cnf(refute_0_714,plain,
converse(join(converse(complement(X_288)),complement(meet(converse(X_288),converse(complement(X_288)))))) = join(complement(X_288),converse(complement(meet(converse(X_288),converse(complement(X_288)))))),
inference(subst,[],[refute_0_64:[bind(X0,$fot(complement(X_288))),bind(X_9,$fot(complement(meet(converse(X_288),converse(complement(X_288))))))]]) ).
cnf(refute_0_715,plain,
complement(converse(join(converse(complement(X_288)),complement(meet(converse(X_288),converse(complement(X_288))))))) = complement(converse(join(converse(complement(X_288)),complement(meet(converse(X_288),converse(complement(X_288))))))),
introduced(tautology,[refl,[$fot(complement(converse(join(converse(complement(X_288)),complement(meet(converse(X_288),converse(complement(X_288))))))))]]) ).
cnf(refute_0_716,plain,
( complement(converse(join(converse(complement(X_288)),complement(meet(converse(X_288),converse(complement(X_288))))))) != complement(converse(join(converse(complement(X_288)),complement(meet(converse(X_288),converse(complement(X_288)))))))
| converse(join(converse(complement(X_288)),complement(meet(converse(X_288),converse(complement(X_288)))))) != join(complement(X_288),converse(complement(meet(converse(X_288),converse(complement(X_288))))))
| complement(converse(join(converse(complement(X_288)),complement(meet(converse(X_288),converse(complement(X_288))))))) = complement(join(complement(X_288),converse(complement(meet(converse(X_288),converse(complement(X_288))))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(join(converse(complement(X_288)),complement(meet(converse(X_288),converse(complement(X_288))))))),complement(converse(join(converse(complement(X_288)),complement(meet(converse(X_288),converse(complement(X_288)))))))) ),[1,0],$fot(join(complement(X_288),converse(complement(meet(converse(X_288),converse(complement(X_288)))))))]]) ).
cnf(refute_0_717,plain,
( converse(join(converse(complement(X_288)),complement(meet(converse(X_288),converse(complement(X_288)))))) != join(complement(X_288),converse(complement(meet(converse(X_288),converse(complement(X_288))))))
| complement(converse(join(converse(complement(X_288)),complement(meet(converse(X_288),converse(complement(X_288))))))) = complement(join(complement(X_288),converse(complement(meet(converse(X_288),converse(complement(X_288))))))) ),
inference(resolve,[$cnf( $equal(complement(converse(join(converse(complement(X_288)),complement(meet(converse(X_288),converse(complement(X_288))))))),complement(converse(join(converse(complement(X_288)),complement(meet(converse(X_288),converse(complement(X_288)))))))) )],[refute_0_715,refute_0_716]) ).
cnf(refute_0_718,plain,
complement(converse(join(converse(complement(X_288)),complement(meet(converse(X_288),converse(complement(X_288))))))) = complement(join(complement(X_288),converse(complement(meet(converse(X_288),converse(complement(X_288))))))),
inference(resolve,[$cnf( $equal(converse(join(converse(complement(X_288)),complement(meet(converse(X_288),converse(complement(X_288)))))),join(complement(X_288),converse(complement(meet(converse(X_288),converse(complement(X_288))))))) )],[refute_0_714,refute_0_717]) ).
cnf(refute_0_719,plain,
( complement(converse(join(converse(complement(X_288)),complement(meet(converse(X_288),converse(complement(X_288))))))) != complement(join(complement(X_288),converse(complement(meet(converse(X_288),converse(complement(X_288)))))))
| complement(join(complement(X_288),converse(complement(meet(converse(X_288),converse(complement(X_288))))))) != meet(X_288,complement(converse(complement(meet(converse(X_288),converse(complement(X_288)))))))
| complement(converse(join(converse(complement(X_288)),complement(meet(converse(X_288),converse(complement(X_288))))))) = meet(X_288,complement(converse(complement(meet(converse(X_288),converse(complement(X_288))))))) ),
inference(subst,[],[refute_0_21:[bind(X,$fot(complement(converse(join(converse(complement(X_288)),complement(meet(converse(X_288),converse(complement(X_288))))))))),bind(Y,$fot(complement(join(complement(X_288),converse(complement(meet(converse(X_288),converse(complement(X_288))))))))),bind(Z,$fot(meet(X_288,complement(converse(complement(meet(converse(X_288),converse(complement(X_288)))))))))]]) ).
cnf(refute_0_720,plain,
( complement(join(complement(X_288),converse(complement(meet(converse(X_288),converse(complement(X_288))))))) != meet(X_288,complement(converse(complement(meet(converse(X_288),converse(complement(X_288)))))))
| complement(converse(join(converse(complement(X_288)),complement(meet(converse(X_288),converse(complement(X_288))))))) = meet(X_288,complement(converse(complement(meet(converse(X_288),converse(complement(X_288))))))) ),
inference(resolve,[$cnf( $equal(complement(converse(join(converse(complement(X_288)),complement(meet(converse(X_288),converse(complement(X_288))))))),complement(join(complement(X_288),converse(complement(meet(converse(X_288),converse(complement(X_288)))))))) )],[refute_0_718,refute_0_719]) ).
cnf(refute_0_721,plain,
complement(converse(join(converse(complement(X_288)),complement(meet(converse(X_288),converse(complement(X_288))))))) = meet(X_288,complement(converse(complement(meet(converse(X_288),converse(complement(X_288))))))),
inference(resolve,[$cnf( $equal(complement(join(complement(X_288),converse(complement(meet(converse(X_288),converse(complement(X_288))))))),meet(X_288,complement(converse(complement(meet(converse(X_288),converse(complement(X_288)))))))) )],[refute_0_713,refute_0_720]) ).
cnf(refute_0_722,plain,
( complement(converse(join(complement(meet(converse(X_288),converse(complement(X_288)))),converse(complement(X_288))))) != complement(converse(join(converse(complement(X_288)),complement(meet(converse(X_288),converse(complement(X_288)))))))
| complement(converse(join(converse(complement(X_288)),complement(meet(converse(X_288),converse(complement(X_288))))))) != meet(X_288,complement(converse(complement(meet(converse(X_288),converse(complement(X_288)))))))
| complement(converse(join(complement(meet(converse(X_288),converse(complement(X_288)))),converse(complement(X_288))))) = meet(X_288,complement(converse(complement(meet(converse(X_288),converse(complement(X_288))))))) ),
inference(subst,[],[refute_0_21:[bind(X,$fot(complement(converse(join(complement(meet(converse(X_288),converse(complement(X_288)))),converse(complement(X_288))))))),bind(Y,$fot(complement(converse(join(converse(complement(X_288)),complement(meet(converse(X_288),converse(complement(X_288))))))))),bind(Z,$fot(meet(X_288,complement(converse(complement(meet(converse(X_288),converse(complement(X_288)))))))))]]) ).
cnf(refute_0_723,plain,
( complement(converse(join(converse(complement(X_288)),complement(meet(converse(X_288),converse(complement(X_288))))))) != meet(X_288,complement(converse(complement(meet(converse(X_288),converse(complement(X_288)))))))
| complement(converse(join(complement(meet(converse(X_288),converse(complement(X_288)))),converse(complement(X_288))))) = meet(X_288,complement(converse(complement(meet(converse(X_288),converse(complement(X_288))))))) ),
inference(resolve,[$cnf( $equal(complement(converse(join(complement(meet(converse(X_288),converse(complement(X_288)))),converse(complement(X_288))))),complement(converse(join(converse(complement(X_288)),complement(meet(converse(X_288),converse(complement(X_288)))))))) )],[refute_0_639,refute_0_722]) ).
cnf(refute_0_724,plain,
complement(converse(join(complement(meet(converse(X_288),converse(complement(X_288)))),converse(complement(X_288))))) = meet(X_288,complement(converse(complement(meet(converse(X_288),converse(complement(X_288))))))),
inference(resolve,[$cnf( $equal(complement(converse(join(converse(complement(X_288)),complement(meet(converse(X_288),converse(complement(X_288))))))),meet(X_288,complement(converse(complement(meet(converse(X_288),converse(complement(X_288)))))))) )],[refute_0_721,refute_0_723]) ).
cnf(refute_0_725,plain,
( complement(converse(join(complement(meet(converse(X_288),converse(complement(X_288)))),converse(complement(X_288))))) != complement(converse(top))
| complement(converse(join(complement(meet(converse(X_288),converse(complement(X_288)))),converse(complement(X_288))))) != meet(X_288,complement(converse(complement(meet(converse(X_288),converse(complement(X_288)))))))
| meet(X_288,complement(converse(complement(meet(converse(X_288),converse(complement(X_288))))))) = complement(converse(top)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(join(complement(meet(converse(X_288),converse(complement(X_288)))),converse(complement(X_288))))),complement(converse(top))) ),[0],$fot(meet(X_288,complement(converse(complement(meet(converse(X_288),converse(complement(X_288))))))))]]) ).
cnf(refute_0_726,plain,
( complement(converse(join(complement(meet(converse(X_288),converse(complement(X_288)))),converse(complement(X_288))))) != complement(converse(top))
| meet(X_288,complement(converse(complement(meet(converse(X_288),converse(complement(X_288))))))) = complement(converse(top)) ),
inference(resolve,[$cnf( $equal(complement(converse(join(complement(meet(converse(X_288),converse(complement(X_288)))),converse(complement(X_288))))),meet(X_288,complement(converse(complement(meet(converse(X_288),converse(complement(X_288)))))))) )],[refute_0_724,refute_0_725]) ).
cnf(refute_0_727,plain,
( complement(converse(top)) != zero
| meet(X_288,complement(converse(complement(meet(converse(X_288),converse(complement(X_288))))))) != complement(converse(top))
| meet(X_288,complement(converse(complement(meet(converse(X_288),converse(complement(X_288))))))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_288,complement(converse(complement(meet(converse(X_288),converse(complement(X_288))))))),complement(converse(top))) ),[1],$fot(zero)]]) ).
cnf(refute_0_728,plain,
( meet(X_288,complement(converse(complement(meet(converse(X_288),converse(complement(X_288))))))) != complement(converse(top))
| meet(X_288,complement(converse(complement(meet(converse(X_288),converse(complement(X_288))))))) = zero ),
inference(resolve,[$cnf( $equal(complement(converse(top)),zero) )],[refute_0_384,refute_0_727]) ).
cnf(refute_0_729,plain,
( complement(converse(join(complement(meet(converse(X_288),converse(complement(X_288)))),converse(complement(X_288))))) != complement(converse(top))
| meet(X_288,complement(converse(complement(meet(converse(X_288),converse(complement(X_288))))))) = zero ),
inference(resolve,[$cnf( $equal(meet(X_288,complement(converse(complement(meet(converse(X_288),converse(complement(X_288))))))),complement(converse(top))) )],[refute_0_726,refute_0_728]) ).
cnf(refute_0_730,plain,
meet(X_288,complement(converse(complement(meet(converse(X_288),converse(complement(X_288))))))) = zero,
inference(resolve,[$cnf( $equal(complement(converse(join(complement(meet(converse(X_288),converse(complement(X_288)))),converse(complement(X_288))))),complement(converse(top))) )],[refute_0_664,refute_0_729]) ).
cnf(refute_0_731,plain,
meet(X_67,complement(converse(complement(meet(converse(X_67),converse(complement(X_67))))))) = zero,
inference(subst,[],[refute_0_730:[bind(X_288,$fot(X_67))]]) ).
cnf(refute_0_732,plain,
meet(complement(converse(complement(meet(converse(X_67),converse(complement(X_67)))))),X_67) = meet(X_67,complement(converse(complement(meet(converse(X_67),converse(complement(X_67))))))),
inference(subst,[],[refute_0_413:[bind(X_6,$fot(X_67)),bind(X_7,$fot(complement(converse(complement(meet(converse(X_67),converse(complement(X_67))))))))]]) ).
cnf(refute_0_733,plain,
( meet(X_67,complement(converse(complement(meet(converse(X_67),converse(complement(X_67))))))) != zero
| meet(complement(converse(complement(meet(converse(X_67),converse(complement(X_67)))))),X_67) != meet(X_67,complement(converse(complement(meet(converse(X_67),converse(complement(X_67)))))))
| meet(complement(converse(complement(meet(converse(X_67),converse(complement(X_67)))))),X_67) = zero ),
inference(subst,[],[refute_0_21:[bind(X,$fot(meet(complement(converse(complement(meet(converse(X_67),converse(complement(X_67)))))),X_67))),bind(Y,$fot(meet(X_67,complement(converse(complement(meet(converse(X_67),converse(complement(X_67))))))))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_734,plain,
( meet(X_67,complement(converse(complement(meet(converse(X_67),converse(complement(X_67))))))) != zero
| meet(complement(converse(complement(meet(converse(X_67),converse(complement(X_67)))))),X_67) = zero ),
inference(resolve,[$cnf( $equal(meet(complement(converse(complement(meet(converse(X_67),converse(complement(X_67)))))),X_67),meet(X_67,complement(converse(complement(meet(converse(X_67),converse(complement(X_67)))))))) )],[refute_0_732,refute_0_733]) ).
cnf(refute_0_735,plain,
meet(complement(converse(complement(meet(converse(X_67),converse(complement(X_67)))))),X_67) = zero,
inference(resolve,[$cnf( $equal(meet(X_67,complement(converse(complement(meet(converse(X_67),converse(complement(X_67))))))),zero) )],[refute_0_731,refute_0_734]) ).
cnf(refute_0_736,plain,
join(zero,meet(complement(converse(complement(meet(converse(X_67),converse(complement(X_67)))))),X_67)) = join(zero,meet(complement(converse(complement(meet(converse(X_67),converse(complement(X_67)))))),X_67)),
introduced(tautology,[refl,[$fot(join(zero,meet(complement(converse(complement(meet(converse(X_67),converse(complement(X_67)))))),X_67)))]]) ).
cnf(refute_0_737,plain,
( join(zero,meet(complement(converse(complement(meet(converse(X_67),converse(complement(X_67)))))),X_67)) != join(zero,meet(complement(converse(complement(meet(converse(X_67),converse(complement(X_67)))))),X_67))
| meet(complement(converse(complement(meet(converse(X_67),converse(complement(X_67)))))),X_67) != zero
| join(zero,meet(complement(converse(complement(meet(converse(X_67),converse(complement(X_67)))))),X_67)) = join(zero,zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(complement(converse(complement(meet(converse(X_67),converse(complement(X_67)))))),X_67)),join(zero,meet(complement(converse(complement(meet(converse(X_67),converse(complement(X_67)))))),X_67))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_738,plain,
( meet(complement(converse(complement(meet(converse(X_67),converse(complement(X_67)))))),X_67) != zero
| join(zero,meet(complement(converse(complement(meet(converse(X_67),converse(complement(X_67)))))),X_67)) = join(zero,zero) ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(converse(complement(meet(converse(X_67),converse(complement(X_67)))))),X_67)),join(zero,meet(complement(converse(complement(meet(converse(X_67),converse(complement(X_67)))))),X_67))) )],[refute_0_736,refute_0_737]) ).
cnf(refute_0_739,plain,
join(zero,meet(complement(converse(complement(meet(converse(X_67),converse(complement(X_67)))))),X_67)) = join(zero,zero),
inference(resolve,[$cnf( $equal(meet(complement(converse(complement(meet(converse(X_67),converse(complement(X_67)))))),X_67),zero) )],[refute_0_735,refute_0_738]) ).
cnf(refute_0_740,plain,
join(complement(top),meet(complement(converse(complement(meet(converse(X_67),converse(complement(X_67)))))),X_67)) = join(complement(top),meet(complement(converse(complement(meet(converse(X_67),converse(complement(X_67)))))),X_67)),
introduced(tautology,[refl,[$fot(join(complement(top),meet(complement(converse(complement(meet(converse(X_67),converse(complement(X_67)))))),X_67)))]]) ).
cnf(refute_0_741,plain,
( complement(top) != zero
| join(complement(top),meet(complement(converse(complement(meet(converse(X_67),converse(complement(X_67)))))),X_67)) != join(complement(top),meet(complement(converse(complement(meet(converse(X_67),converse(complement(X_67)))))),X_67))
| join(complement(top),meet(complement(converse(complement(meet(converse(X_67),converse(complement(X_67)))))),X_67)) = join(zero,meet(complement(converse(complement(meet(converse(X_67),converse(complement(X_67)))))),X_67)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(complement(converse(complement(meet(converse(X_67),converse(complement(X_67)))))),X_67)),join(complement(top),meet(complement(converse(complement(meet(converse(X_67),converse(complement(X_67)))))),X_67))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_742,plain,
( complement(top) != zero
| join(complement(top),meet(complement(converse(complement(meet(converse(X_67),converse(complement(X_67)))))),X_67)) = join(zero,meet(complement(converse(complement(meet(converse(X_67),converse(complement(X_67)))))),X_67)) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(converse(complement(meet(converse(X_67),converse(complement(X_67)))))),X_67)),join(complement(top),meet(complement(converse(complement(meet(converse(X_67),converse(complement(X_67)))))),X_67))) )],[refute_0_740,refute_0_741]) ).
cnf(refute_0_743,plain,
join(complement(top),meet(complement(converse(complement(meet(converse(X_67),converse(complement(X_67)))))),X_67)) = join(zero,meet(complement(converse(complement(meet(converse(X_67),converse(complement(X_67)))))),X_67)),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_116,refute_0_742]) ).
cnf(refute_0_744,plain,
( join(complement(top),meet(complement(converse(complement(meet(converse(X_67),converse(complement(X_67)))))),X_67)) != join(zero,meet(complement(converse(complement(meet(converse(X_67),converse(complement(X_67)))))),X_67))
| join(zero,meet(complement(converse(complement(meet(converse(X_67),converse(complement(X_67)))))),X_67)) != join(zero,zero)
| join(complement(top),meet(complement(converse(complement(meet(converse(X_67),converse(complement(X_67)))))),X_67)) = join(zero,zero) ),
inference(subst,[],[refute_0_21:[bind(X,$fot(join(complement(top),meet(complement(converse(complement(meet(converse(X_67),converse(complement(X_67)))))),X_67)))),bind(Y,$fot(join(zero,meet(complement(converse(complement(meet(converse(X_67),converse(complement(X_67)))))),X_67)))),bind(Z,$fot(join(zero,zero)))]]) ).
cnf(refute_0_745,plain,
( join(zero,meet(complement(converse(complement(meet(converse(X_67),converse(complement(X_67)))))),X_67)) != join(zero,zero)
| join(complement(top),meet(complement(converse(complement(meet(converse(X_67),converse(complement(X_67)))))),X_67)) = join(zero,zero) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(converse(complement(meet(converse(X_67),converse(complement(X_67)))))),X_67)),join(zero,meet(complement(converse(complement(meet(converse(X_67),converse(complement(X_67)))))),X_67))) )],[refute_0_743,refute_0_744]) ).
cnf(refute_0_746,plain,
join(complement(top),meet(complement(converse(complement(meet(converse(X_67),converse(complement(X_67)))))),X_67)) = join(zero,zero),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(converse(complement(meet(converse(X_67),converse(complement(X_67)))))),X_67)),join(zero,zero)) )],[refute_0_739,refute_0_745]) ).
cnf(refute_0_747,plain,
( join(complement(top),meet(complement(converse(complement(meet(converse(X_67),converse(complement(X_67)))))),X_67)) != join(zero,zero)
| join(zero,zero) != zero
| join(complement(top),meet(complement(converse(complement(meet(converse(X_67),converse(complement(X_67)))))),X_67)) = zero ),
inference(subst,[],[refute_0_21:[bind(X,$fot(join(complement(top),meet(complement(converse(complement(meet(converse(X_67),converse(complement(X_67)))))),X_67)))),bind(Y,$fot(join(zero,zero))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_748,plain,
( join(zero,zero) != zero
| join(complement(top),meet(complement(converse(complement(meet(converse(X_67),converse(complement(X_67)))))),X_67)) = zero ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(converse(complement(meet(converse(X_67),converse(complement(X_67)))))),X_67)),join(zero,zero)) )],[refute_0_746,refute_0_747]) ).
cnf(refute_0_749,plain,
join(complement(top),meet(complement(converse(complement(meet(converse(X_67),converse(complement(X_67)))))),X_67)) = zero,
inference(resolve,[$cnf( $equal(join(zero,zero),zero) )],[refute_0_598,refute_0_748]) ).
cnf(refute_0_750,plain,
( complement(converse(complement(meet(converse(X_67),converse(complement(X_67)))))) != join(complement(top),meet(complement(converse(complement(meet(converse(X_67),converse(complement(X_67)))))),X_67))
| join(complement(top),meet(complement(converse(complement(meet(converse(X_67),converse(complement(X_67)))))),X_67)) != zero
| complement(converse(complement(meet(converse(X_67),converse(complement(X_67)))))) = zero ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(converse(complement(meet(converse(X_67),converse(complement(X_67)))))),zero) ),[0],$fot(join(complement(top),meet(complement(converse(complement(meet(converse(X_67),converse(complement(X_67)))))),X_67)))]]) ).
cnf(refute_0_751,plain,
( complement(converse(complement(meet(converse(X_67),converse(complement(X_67)))))) != join(complement(top),meet(complement(converse(complement(meet(converse(X_67),converse(complement(X_67)))))),X_67))
| complement(converse(complement(meet(converse(X_67),converse(complement(X_67)))))) = zero ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(converse(complement(meet(converse(X_67),converse(complement(X_67)))))),X_67)),zero) )],[refute_0_749,refute_0_750]) ).
cnf(refute_0_752,plain,
complement(converse(complement(meet(converse(X_67),converse(complement(X_67)))))) = zero,
inference(resolve,[$cnf( $equal(complement(converse(complement(meet(converse(X_67),converse(complement(X_67)))))),join(complement(top),meet(complement(converse(complement(meet(converse(X_67),converse(complement(X_67)))))),X_67))) )],[refute_0_553,refute_0_751]) ).
cnf(refute_0_753,plain,
complement(converse(complement(meet(converse(X_295),converse(complement(X_295)))))) = zero,
inference(subst,[],[refute_0_752:[bind(X_67,$fot(X_295))]]) ).
cnf(refute_0_754,plain,
( complement(converse(complement(meet(converse(X_295),converse(complement(X_295)))))) != zero
| complement(converse(converse(complement(meet(converse(X_295),converse(complement(X_295))))))) != meet(complement(converse(converse(complement(meet(converse(X_295),converse(complement(X_295))))))),converse(complement(converse(complement(meet(converse(X_295),converse(complement(X_295))))))))
| complement(converse(converse(complement(meet(converse(X_295),converse(complement(X_295))))))) = meet(complement(converse(converse(complement(meet(converse(X_295),converse(complement(X_295))))))),converse(zero)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(converse(complement(meet(converse(X_295),converse(complement(X_295))))))),meet(complement(converse(converse(complement(meet(converse(X_295),converse(complement(X_295))))))),converse(complement(converse(complement(meet(converse(X_295),converse(complement(X_295))))))))) ),[1,1,0],$fot(zero)]]) ).
cnf(refute_0_755,plain,
( complement(converse(converse(complement(meet(converse(X_295),converse(complement(X_295))))))) != meet(complement(converse(converse(complement(meet(converse(X_295),converse(complement(X_295))))))),converse(complement(converse(complement(meet(converse(X_295),converse(complement(X_295))))))))
| complement(converse(converse(complement(meet(converse(X_295),converse(complement(X_295))))))) = meet(complement(converse(converse(complement(meet(converse(X_295),converse(complement(X_295))))))),converse(zero)) ),
inference(resolve,[$cnf( $equal(complement(converse(complement(meet(converse(X_295),converse(complement(X_295)))))),zero) )],[refute_0_753,refute_0_754]) ).
cnf(refute_0_756,plain,
complement(converse(converse(complement(meet(converse(X_295),converse(complement(X_295))))))) = meet(complement(converse(converse(complement(meet(converse(X_295),converse(complement(X_295))))))),converse(zero)),
inference(resolve,[$cnf( $equal(complement(converse(converse(complement(meet(converse(X_295),converse(complement(X_295))))))),meet(complement(converse(converse(complement(meet(converse(X_295),converse(complement(X_295))))))),converse(complement(converse(complement(meet(converse(X_295),converse(complement(X_295))))))))) )],[refute_0_452,refute_0_755]) ).
cnf(refute_0_757,plain,
complement(complement(meet(converse(X_295),converse(complement(X_295))))) = meet(converse(X_295),converse(complement(X_295))),
inference(subst,[],[refute_0_315:[bind(X_43,$fot(meet(converse(X_295),converse(complement(X_295)))))]]) ).
cnf(refute_0_758,plain,
converse(converse(complement(meet(converse(X_295),converse(complement(X_295)))))) = complement(meet(converse(X_295),converse(complement(X_295)))),
inference(subst,[],[refute_0_61:[bind(X0,$fot(complement(meet(converse(X_295),converse(complement(X_295))))))]]) ).
cnf(refute_0_759,plain,
complement(converse(converse(complement(meet(converse(X_295),converse(complement(X_295))))))) = complement(converse(converse(complement(meet(converse(X_295),converse(complement(X_295))))))),
introduced(tautology,[refl,[$fot(complement(converse(converse(complement(meet(converse(X_295),converse(complement(X_295))))))))]]) ).
cnf(refute_0_760,plain,
( complement(converse(converse(complement(meet(converse(X_295),converse(complement(X_295))))))) != complement(converse(converse(complement(meet(converse(X_295),converse(complement(X_295)))))))
| converse(converse(complement(meet(converse(X_295),converse(complement(X_295)))))) != complement(meet(converse(X_295),converse(complement(X_295))))
| complement(converse(converse(complement(meet(converse(X_295),converse(complement(X_295))))))) = complement(complement(meet(converse(X_295),converse(complement(X_295))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(converse(complement(meet(converse(X_295),converse(complement(X_295))))))),complement(converse(converse(complement(meet(converse(X_295),converse(complement(X_295)))))))) ),[1,0],$fot(complement(meet(converse(X_295),converse(complement(X_295)))))]]) ).
cnf(refute_0_761,plain,
( converse(converse(complement(meet(converse(X_295),converse(complement(X_295)))))) != complement(meet(converse(X_295),converse(complement(X_295))))
| complement(converse(converse(complement(meet(converse(X_295),converse(complement(X_295))))))) = complement(complement(meet(converse(X_295),converse(complement(X_295))))) ),
inference(resolve,[$cnf( $equal(complement(converse(converse(complement(meet(converse(X_295),converse(complement(X_295))))))),complement(converse(converse(complement(meet(converse(X_295),converse(complement(X_295)))))))) )],[refute_0_759,refute_0_760]) ).
cnf(refute_0_762,plain,
complement(converse(converse(complement(meet(converse(X_295),converse(complement(X_295))))))) = complement(complement(meet(converse(X_295),converse(complement(X_295))))),
inference(resolve,[$cnf( $equal(converse(converse(complement(meet(converse(X_295),converse(complement(X_295)))))),complement(meet(converse(X_295),converse(complement(X_295))))) )],[refute_0_758,refute_0_761]) ).
cnf(refute_0_763,plain,
( complement(complement(meet(converse(X_295),converse(complement(X_295))))) != meet(converse(X_295),converse(complement(X_295)))
| complement(converse(converse(complement(meet(converse(X_295),converse(complement(X_295))))))) != complement(complement(meet(converse(X_295),converse(complement(X_295)))))
| complement(converse(converse(complement(meet(converse(X_295),converse(complement(X_295))))))) = meet(converse(X_295),converse(complement(X_295))) ),
inference(subst,[],[refute_0_21:[bind(X,$fot(complement(converse(converse(complement(meet(converse(X_295),converse(complement(X_295))))))))),bind(Y,$fot(complement(complement(meet(converse(X_295),converse(complement(X_295))))))),bind(Z,$fot(meet(converse(X_295),converse(complement(X_295)))))]]) ).
cnf(refute_0_764,plain,
( complement(complement(meet(converse(X_295),converse(complement(X_295))))) != meet(converse(X_295),converse(complement(X_295)))
| complement(converse(converse(complement(meet(converse(X_295),converse(complement(X_295))))))) = meet(converse(X_295),converse(complement(X_295))) ),
inference(resolve,[$cnf( $equal(complement(converse(converse(complement(meet(converse(X_295),converse(complement(X_295))))))),complement(complement(meet(converse(X_295),converse(complement(X_295)))))) )],[refute_0_762,refute_0_763]) ).
cnf(refute_0_765,plain,
complement(converse(converse(complement(meet(converse(X_295),converse(complement(X_295))))))) = meet(converse(X_295),converse(complement(X_295))),
inference(resolve,[$cnf( $equal(complement(complement(meet(converse(X_295),converse(complement(X_295))))),meet(converse(X_295),converse(complement(X_295)))) )],[refute_0_757,refute_0_764]) ).
cnf(refute_0_766,plain,
( complement(converse(converse(complement(meet(converse(X_295),converse(complement(X_295))))))) != meet(complement(converse(converse(complement(meet(converse(X_295),converse(complement(X_295))))))),converse(zero))
| complement(converse(converse(complement(meet(converse(X_295),converse(complement(X_295))))))) != meet(converse(X_295),converse(complement(X_295)))
| meet(converse(X_295),converse(complement(X_295))) = meet(complement(converse(converse(complement(meet(converse(X_295),converse(complement(X_295))))))),converse(zero)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(converse(complement(meet(converse(X_295),converse(complement(X_295))))))),meet(complement(converse(converse(complement(meet(converse(X_295),converse(complement(X_295))))))),converse(zero))) ),[0],$fot(meet(converse(X_295),converse(complement(X_295))))]]) ).
cnf(refute_0_767,plain,
( complement(converse(converse(complement(meet(converse(X_295),converse(complement(X_295))))))) != meet(complement(converse(converse(complement(meet(converse(X_295),converse(complement(X_295))))))),converse(zero))
| meet(converse(X_295),converse(complement(X_295))) = meet(complement(converse(converse(complement(meet(converse(X_295),converse(complement(X_295))))))),converse(zero)) ),
inference(resolve,[$cnf( $equal(complement(converse(converse(complement(meet(converse(X_295),converse(complement(X_295))))))),meet(converse(X_295),converse(complement(X_295)))) )],[refute_0_765,refute_0_766]) ).
cnf(refute_0_768,plain,
zero = join(meet(zero,X1),complement(join(complement(zero),X1))),
inference(subst,[],[refute_0_27:[bind(X0,$fot(zero))]]) ).
cnf(refute_0_769,plain,
( complement(zero) != top
| zero != join(meet(zero,X1),complement(join(complement(zero),X1)))
| zero = join(meet(zero,X1),complement(join(top,X1))) ),
introduced(tautology,[equality,[$cnf( $equal(zero,join(meet(zero,X1),complement(join(complement(zero),X1)))) ),[1,1,0,0],$fot(top)]]) ).
cnf(refute_0_770,plain,
( zero != join(meet(zero,X1),complement(join(complement(zero),X1)))
| zero = join(meet(zero,X1),complement(join(top,X1))) ),
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_348,refute_0_769]) ).
cnf(refute_0_771,plain,
zero = join(meet(zero,X1),complement(join(top,X1))),
inference(resolve,[$cnf( $equal(zero,join(meet(zero,X1),complement(join(complement(zero),X1)))) )],[refute_0_768,refute_0_770]) ).
cnf(refute_0_772,plain,
join(meet(zero,X1),zero) = meet(zero,X1),
inference(subst,[],[refute_0_450:[bind(X1,$fot(meet(zero,X1)))]]) ).
cnf(refute_0_773,plain,
top = join(top,complement(complement(X_61))),
inference(subst,[],[refute_0_271:[bind(X_7,$fot(complement(X_61)))]]) ).
cnf(refute_0_774,plain,
( complement(complement(X_61)) != X_61
| top != join(top,complement(complement(X_61)))
| top = join(top,X_61) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(top,complement(complement(X_61)))) ),[1,1],$fot(X_61)]]) ).
cnf(refute_0_775,plain,
( top != join(top,complement(complement(X_61)))
| top = join(top,X_61) ),
inference(resolve,[$cnf( $equal(complement(complement(X_61)),X_61) )],[refute_0_398,refute_0_774]) ).
cnf(refute_0_776,plain,
top = join(top,X_61),
inference(resolve,[$cnf( $equal(top,join(top,complement(complement(X_61)))) )],[refute_0_773,refute_0_775]) ).
cnf(refute_0_777,plain,
( top != join(top,X_61)
| join(top,X_61) = top ),
inference(subst,[],[refute_0_5:[bind(X,$fot(top)),bind(Y,$fot(join(top,X_61)))]]) ).
cnf(refute_0_778,plain,
join(top,X_61) = top,
inference(resolve,[$cnf( $equal(top,join(top,X_61)) )],[refute_0_776,refute_0_777]) ).
cnf(refute_0_779,plain,
join(top,X1) = top,
inference(subst,[],[refute_0_778:[bind(X_61,$fot(X1))]]) ).
cnf(refute_0_780,plain,
complement(join(top,X1)) = complement(join(top,X1)),
introduced(tautology,[refl,[$fot(complement(join(top,X1)))]]) ).
cnf(refute_0_781,plain,
( complement(join(top,X1)) != complement(join(top,X1))
| join(top,X1) != top
| complement(join(top,X1)) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(top,X1)),complement(join(top,X1))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_782,plain,
( join(top,X1) != top
| complement(join(top,X1)) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(join(top,X1)),complement(join(top,X1))) )],[refute_0_780,refute_0_781]) ).
cnf(refute_0_783,plain,
complement(join(top,X1)) = complement(top),
inference(resolve,[$cnf( $equal(join(top,X1),top) )],[refute_0_779,refute_0_782]) ).
cnf(refute_0_784,plain,
( complement(join(top,X1)) != complement(top)
| complement(top) != zero
| complement(join(top,X1)) = zero ),
inference(subst,[],[refute_0_21:[bind(X,$fot(complement(join(top,X1)))),bind(Y,$fot(complement(top))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_785,plain,
( complement(top) != zero
| complement(join(top,X1)) = zero ),
inference(resolve,[$cnf( $equal(complement(join(top,X1)),complement(top)) )],[refute_0_783,refute_0_784]) ).
cnf(refute_0_786,plain,
complement(join(top,X1)) = zero,
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_116,refute_0_785]) ).
cnf(refute_0_787,plain,
join(meet(zero,X1),complement(join(top,X1))) = join(meet(zero,X1),complement(join(top,X1))),
introduced(tautology,[refl,[$fot(join(meet(zero,X1),complement(join(top,X1))))]]) ).
cnf(refute_0_788,plain,
( complement(join(top,X1)) != zero
| join(meet(zero,X1),complement(join(top,X1))) != join(meet(zero,X1),complement(join(top,X1)))
| join(meet(zero,X1),complement(join(top,X1))) = join(meet(zero,X1),zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(zero,X1),complement(join(top,X1))),join(meet(zero,X1),complement(join(top,X1)))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_789,plain,
( complement(join(top,X1)) != zero
| join(meet(zero,X1),complement(join(top,X1))) = join(meet(zero,X1),zero) ),
inference(resolve,[$cnf( $equal(join(meet(zero,X1),complement(join(top,X1))),join(meet(zero,X1),complement(join(top,X1)))) )],[refute_0_787,refute_0_788]) ).
cnf(refute_0_790,plain,
join(meet(zero,X1),complement(join(top,X1))) = join(meet(zero,X1),zero),
inference(resolve,[$cnf( $equal(complement(join(top,X1)),zero) )],[refute_0_786,refute_0_789]) ).
cnf(refute_0_791,plain,
( join(meet(zero,X1),complement(join(top,X1))) != join(meet(zero,X1),zero)
| join(meet(zero,X1),zero) != meet(zero,X1)
| join(meet(zero,X1),complement(join(top,X1))) = meet(zero,X1) ),
inference(subst,[],[refute_0_21:[bind(X,$fot(join(meet(zero,X1),complement(join(top,X1))))),bind(Y,$fot(join(meet(zero,X1),zero))),bind(Z,$fot(meet(zero,X1)))]]) ).
cnf(refute_0_792,plain,
( join(meet(zero,X1),zero) != meet(zero,X1)
| join(meet(zero,X1),complement(join(top,X1))) = meet(zero,X1) ),
inference(resolve,[$cnf( $equal(join(meet(zero,X1),complement(join(top,X1))),join(meet(zero,X1),zero)) )],[refute_0_790,refute_0_791]) ).
cnf(refute_0_793,plain,
join(meet(zero,X1),complement(join(top,X1))) = meet(zero,X1),
inference(resolve,[$cnf( $equal(join(meet(zero,X1),zero),meet(zero,X1)) )],[refute_0_772,refute_0_792]) ).
cnf(refute_0_794,plain,
( join(meet(zero,X1),complement(join(top,X1))) != meet(zero,X1)
| zero != join(meet(zero,X1),complement(join(top,X1)))
| zero = meet(zero,X1) ),
introduced(tautology,[equality,[$cnf( $equal(zero,join(meet(zero,X1),complement(join(top,X1)))) ),[1],$fot(meet(zero,X1))]]) ).
cnf(refute_0_795,plain,
( zero != join(meet(zero,X1),complement(join(top,X1)))
| zero = meet(zero,X1) ),
inference(resolve,[$cnf( $equal(join(meet(zero,X1),complement(join(top,X1))),meet(zero,X1)) )],[refute_0_793,refute_0_794]) ).
cnf(refute_0_796,plain,
zero = meet(zero,X1),
inference(resolve,[$cnf( $equal(zero,join(meet(zero,X1),complement(join(top,X1)))) )],[refute_0_771,refute_0_795]) ).
cnf(refute_0_797,plain,
( zero != meet(zero,X1)
| meet(zero,X1) = zero ),
inference(subst,[],[refute_0_5:[bind(X,$fot(zero)),bind(Y,$fot(meet(zero,X1)))]]) ).
cnf(refute_0_798,plain,
meet(zero,X1) = zero,
inference(resolve,[$cnf( $equal(zero,meet(zero,X1)) )],[refute_0_796,refute_0_797]) ).
cnf(refute_0_799,plain,
meet(zero,meet(converse(X_295),converse(complement(X_295)))) = zero,
inference(subst,[],[refute_0_798:[bind(X1,$fot(meet(converse(X_295),converse(complement(X_295)))))]]) ).
cnf(refute_0_800,plain,
meet(zero,complement(converse(converse(complement(meet(converse(X_295),converse(complement(X_295)))))))) = meet(zero,complement(converse(converse(complement(meet(converse(X_295),converse(complement(X_295)))))))),
introduced(tautology,[refl,[$fot(meet(zero,complement(converse(converse(complement(meet(converse(X_295),converse(complement(X_295)))))))))]]) ).
cnf(refute_0_801,plain,
( complement(converse(converse(complement(meet(converse(X_295),converse(complement(X_295))))))) != meet(converse(X_295),converse(complement(X_295)))
| meet(zero,complement(converse(converse(complement(meet(converse(X_295),converse(complement(X_295)))))))) != meet(zero,complement(converse(converse(complement(meet(converse(X_295),converse(complement(X_295))))))))
| meet(zero,complement(converse(converse(complement(meet(converse(X_295),converse(complement(X_295)))))))) = meet(zero,meet(converse(X_295),converse(complement(X_295)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(zero,complement(converse(converse(complement(meet(converse(X_295),converse(complement(X_295)))))))),meet(zero,complement(converse(converse(complement(meet(converse(X_295),converse(complement(X_295))))))))) ),[1,1],$fot(meet(converse(X_295),converse(complement(X_295))))]]) ).
cnf(refute_0_802,plain,
( complement(converse(converse(complement(meet(converse(X_295),converse(complement(X_295))))))) != meet(converse(X_295),converse(complement(X_295)))
| meet(zero,complement(converse(converse(complement(meet(converse(X_295),converse(complement(X_295)))))))) = meet(zero,meet(converse(X_295),converse(complement(X_295)))) ),
inference(resolve,[$cnf( $equal(meet(zero,complement(converse(converse(complement(meet(converse(X_295),converse(complement(X_295)))))))),meet(zero,complement(converse(converse(complement(meet(converse(X_295),converse(complement(X_295))))))))) )],[refute_0_800,refute_0_801]) ).
cnf(refute_0_803,plain,
meet(zero,complement(converse(converse(complement(meet(converse(X_295),converse(complement(X_295)))))))) = meet(zero,meet(converse(X_295),converse(complement(X_295)))),
inference(resolve,[$cnf( $equal(complement(converse(converse(complement(meet(converse(X_295),converse(complement(X_295))))))),meet(converse(X_295),converse(complement(X_295)))) )],[refute_0_765,refute_0_802]) ).
cnf(refute_0_804,plain,
zero = meet(converse(zero),complement(converse(zero))),
inference(subst,[],[refute_0_90:[bind(X0,$fot(converse(zero)))]]) ).
cnf(refute_0_805,plain,
converse(converse(complement(converse(zero)))) = complement(converse(zero)),
inference(subst,[],[refute_0_61:[bind(X0,$fot(complement(converse(zero))))]]) ).
cnf(refute_0_806,plain,
converse(top) = join(zero,converse(complement(converse(zero)))),
inference(subst,[],[refute_0_72:[bind(X_40,$fot(zero))]]) ).
cnf(refute_0_807,plain,
converse(complement(converse(zero))) = join(zero,converse(complement(converse(zero)))),
inference(subst,[],[refute_0_334:[bind(X_43,$fot(converse(complement(converse(zero)))))]]) ).
cnf(refute_0_808,plain,
( converse(complement(converse(zero))) != join(zero,converse(complement(converse(zero))))
| join(zero,converse(complement(converse(zero)))) = converse(complement(converse(zero))) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(converse(complement(converse(zero))))),bind(Y,$fot(join(zero,converse(complement(converse(zero))))))]]) ).
cnf(refute_0_809,plain,
join(zero,converse(complement(converse(zero)))) = converse(complement(converse(zero))),
inference(resolve,[$cnf( $equal(converse(complement(converse(zero))),join(zero,converse(complement(converse(zero))))) )],[refute_0_807,refute_0_808]) ).
cnf(refute_0_810,plain,
( converse(top) != join(zero,converse(complement(converse(zero))))
| join(zero,converse(complement(converse(zero)))) != converse(complement(converse(zero)))
| converse(top) = converse(complement(converse(zero))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(top),converse(complement(converse(zero)))) ),[0],$fot(join(zero,converse(complement(converse(zero)))))]]) ).
cnf(refute_0_811,plain,
( converse(top) != join(zero,converse(complement(converse(zero))))
| converse(top) = converse(complement(converse(zero))) ),
inference(resolve,[$cnf( $equal(join(zero,converse(complement(converse(zero)))),converse(complement(converse(zero)))) )],[refute_0_809,refute_0_810]) ).
cnf(refute_0_812,plain,
converse(top) = converse(complement(converse(zero))),
inference(resolve,[$cnf( $equal(converse(top),join(zero,converse(complement(converse(zero))))) )],[refute_0_806,refute_0_811]) ).
cnf(refute_0_813,plain,
( converse(top) != converse(complement(converse(zero)))
| converse(complement(converse(zero))) = converse(top) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(converse(top))),bind(Y,$fot(converse(complement(converse(zero)))))]]) ).
cnf(refute_0_814,plain,
converse(complement(converse(zero))) = converse(top),
inference(resolve,[$cnf( $equal(converse(top),converse(complement(converse(zero)))) )],[refute_0_812,refute_0_813]) ).
cnf(refute_0_815,plain,
( converse(complement(converse(zero))) != converse(top)
| converse(converse(complement(converse(zero)))) != complement(converse(zero))
| converse(converse(top)) = complement(converse(zero)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(complement(converse(zero)))),complement(converse(zero))) ),[0,0],$fot(converse(top))]]) ).
cnf(refute_0_816,plain,
( converse(converse(complement(converse(zero)))) != complement(converse(zero))
| converse(converse(top)) = complement(converse(zero)) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(zero))),converse(top)) )],[refute_0_814,refute_0_815]) ).
cnf(refute_0_817,plain,
converse(converse(top)) = complement(converse(zero)),
inference(resolve,[$cnf( $equal(converse(converse(complement(converse(zero)))),complement(converse(zero))) )],[refute_0_805,refute_0_816]) ).
cnf(refute_0_818,plain,
converse(converse(top)) = top,
inference(subst,[],[refute_0_61:[bind(X0,$fot(top))]]) ).
cnf(refute_0_819,plain,
( converse(converse(top)) != complement(converse(zero))
| converse(converse(top)) != top
| top = complement(converse(zero)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(top)),complement(converse(zero))) ),[0],$fot(top)]]) ).
cnf(refute_0_820,plain,
( converse(converse(top)) != complement(converse(zero))
| top = complement(converse(zero)) ),
inference(resolve,[$cnf( $equal(converse(converse(top)),top) )],[refute_0_818,refute_0_819]) ).
cnf(refute_0_821,plain,
top = complement(converse(zero)),
inference(resolve,[$cnf( $equal(converse(converse(top)),complement(converse(zero))) )],[refute_0_817,refute_0_820]) ).
cnf(refute_0_822,plain,
( top != complement(converse(zero))
| complement(converse(zero)) = top ),
inference(subst,[],[refute_0_5:[bind(X,$fot(top)),bind(Y,$fot(complement(converse(zero))))]]) ).
cnf(refute_0_823,plain,
complement(converse(zero)) = top,
inference(resolve,[$cnf( $equal(top,complement(converse(zero))) )],[refute_0_821,refute_0_822]) ).
cnf(refute_0_824,plain,
( complement(converse(zero)) != top
| zero != meet(converse(zero),complement(converse(zero)))
| zero = meet(converse(zero),top) ),
introduced(tautology,[equality,[$cnf( $equal(zero,meet(converse(zero),complement(converse(zero)))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_825,plain,
( zero != meet(converse(zero),complement(converse(zero)))
| zero = meet(converse(zero),top) ),
inference(resolve,[$cnf( $equal(complement(converse(zero)),top) )],[refute_0_823,refute_0_824]) ).
cnf(refute_0_826,plain,
zero = meet(converse(zero),top),
inference(resolve,[$cnf( $equal(zero,meet(converse(zero),complement(converse(zero)))) )],[refute_0_804,refute_0_825]) ).
cnf(refute_0_827,plain,
X_46 = join(zero,meet(top,X_46)),
inference(subst,[],[refute_0_295:[bind(X_43,$fot(X_46))]]) ).
cnf(refute_0_828,plain,
meet(X_46,top) = meet(top,X_46),
inference(subst,[],[refute_0_50:[bind(X_6,$fot(X_46)),bind(X_7,$fot(top))]]) ).
cnf(refute_0_829,plain,
( meet(X_46,top) != meet(top,X_46)
| meet(top,X_46) = meet(X_46,top) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(meet(X_46,top))),bind(Y,$fot(meet(top,X_46)))]]) ).
cnf(refute_0_830,plain,
meet(top,X_46) = meet(X_46,top),
inference(resolve,[$cnf( $equal(meet(X_46,top),meet(top,X_46)) )],[refute_0_828,refute_0_829]) ).
cnf(refute_0_831,plain,
( X_46 != join(zero,meet(top,X_46))
| meet(top,X_46) != meet(X_46,top)
| X_46 = join(zero,meet(X_46,top)) ),
introduced(tautology,[equality,[$cnf( $equal(X_46,join(zero,meet(top,X_46))) ),[1,1],$fot(meet(X_46,top))]]) ).
cnf(refute_0_832,plain,
( X_46 != join(zero,meet(top,X_46))
| X_46 = join(zero,meet(X_46,top)) ),
inference(resolve,[$cnf( $equal(meet(top,X_46),meet(X_46,top)) )],[refute_0_830,refute_0_831]) ).
cnf(refute_0_833,plain,
X_46 = join(zero,meet(X_46,top)),
inference(resolve,[$cnf( $equal(X_46,join(zero,meet(top,X_46))) )],[refute_0_827,refute_0_832]) ).
cnf(refute_0_834,plain,
join(zero,meet(X_46,top)) = meet(X_46,top),
inference(subst,[],[refute_0_336:[bind(X_43,$fot(meet(X_46,top)))]]) ).
cnf(refute_0_835,plain,
( X_46 != join(zero,meet(X_46,top))
| join(zero,meet(X_46,top)) != meet(X_46,top)
| X_46 = meet(X_46,top) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_46,meet(X_46,top)) ),[0],$fot(join(zero,meet(X_46,top)))]]) ).
cnf(refute_0_836,plain,
( X_46 != join(zero,meet(X_46,top))
| X_46 = meet(X_46,top) ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_46,top)),meet(X_46,top)) )],[refute_0_834,refute_0_835]) ).
cnf(refute_0_837,plain,
X_46 = meet(X_46,top),
inference(resolve,[$cnf( $equal(X_46,join(zero,meet(X_46,top))) )],[refute_0_833,refute_0_836]) ).
cnf(refute_0_838,plain,
( X_46 != meet(X_46,top)
| meet(X_46,top) = X_46 ),
inference(subst,[],[refute_0_5:[bind(X,$fot(X_46)),bind(Y,$fot(meet(X_46,top)))]]) ).
cnf(refute_0_839,plain,
meet(X_46,top) = X_46,
inference(resolve,[$cnf( $equal(X_46,meet(X_46,top)) )],[refute_0_837,refute_0_838]) ).
cnf(refute_0_840,plain,
meet(converse(zero),top) = converse(zero),
inference(subst,[],[refute_0_839:[bind(X_46,$fot(converse(zero)))]]) ).
cnf(refute_0_841,plain,
( meet(converse(zero),top) != converse(zero)
| zero != meet(converse(zero),top)
| zero = converse(zero) ),
introduced(tautology,[equality,[$cnf( $equal(zero,meet(converse(zero),top)) ),[1],$fot(converse(zero))]]) ).
cnf(refute_0_842,plain,
( zero != meet(converse(zero),top)
| zero = converse(zero) ),
inference(resolve,[$cnf( $equal(meet(converse(zero),top),converse(zero)) )],[refute_0_840,refute_0_841]) ).
cnf(refute_0_843,plain,
zero = converse(zero),
inference(resolve,[$cnf( $equal(zero,meet(converse(zero),top)) )],[refute_0_826,refute_0_842]) ).
cnf(refute_0_844,plain,
( zero != converse(zero)
| converse(zero) = zero ),
inference(subst,[],[refute_0_5:[bind(X,$fot(zero)),bind(Y,$fot(converse(zero)))]]) ).
cnf(refute_0_845,plain,
converse(zero) = zero,
inference(resolve,[$cnf( $equal(zero,converse(zero)) )],[refute_0_843,refute_0_844]) ).
cnf(refute_0_846,plain,
meet(converse(zero),complement(converse(converse(complement(meet(converse(X_295),converse(complement(X_295)))))))) = meet(converse(zero),complement(converse(converse(complement(meet(converse(X_295),converse(complement(X_295)))))))),
introduced(tautology,[refl,[$fot(meet(converse(zero),complement(converse(converse(complement(meet(converse(X_295),converse(complement(X_295)))))))))]]) ).
cnf(refute_0_847,plain,
( converse(zero) != zero
| meet(converse(zero),complement(converse(converse(complement(meet(converse(X_295),converse(complement(X_295)))))))) != meet(converse(zero),complement(converse(converse(complement(meet(converse(X_295),converse(complement(X_295))))))))
| meet(converse(zero),complement(converse(converse(complement(meet(converse(X_295),converse(complement(X_295)))))))) = meet(zero,complement(converse(converse(complement(meet(converse(X_295),converse(complement(X_295)))))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(zero),complement(converse(converse(complement(meet(converse(X_295),converse(complement(X_295)))))))),meet(converse(zero),complement(converse(converse(complement(meet(converse(X_295),converse(complement(X_295))))))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_848,plain,
( converse(zero) != zero
| meet(converse(zero),complement(converse(converse(complement(meet(converse(X_295),converse(complement(X_295)))))))) = meet(zero,complement(converse(converse(complement(meet(converse(X_295),converse(complement(X_295)))))))) ),
inference(resolve,[$cnf( $equal(meet(converse(zero),complement(converse(converse(complement(meet(converse(X_295),converse(complement(X_295)))))))),meet(converse(zero),complement(converse(converse(complement(meet(converse(X_295),converse(complement(X_295))))))))) )],[refute_0_846,refute_0_847]) ).
cnf(refute_0_849,plain,
meet(converse(zero),complement(converse(converse(complement(meet(converse(X_295),converse(complement(X_295)))))))) = meet(zero,complement(converse(converse(complement(meet(converse(X_295),converse(complement(X_295)))))))),
inference(resolve,[$cnf( $equal(converse(zero),zero) )],[refute_0_845,refute_0_848]) ).
cnf(refute_0_850,plain,
( meet(converse(zero),complement(converse(converse(complement(meet(converse(X_295),converse(complement(X_295)))))))) != meet(zero,complement(converse(converse(complement(meet(converse(X_295),converse(complement(X_295))))))))
| meet(zero,complement(converse(converse(complement(meet(converse(X_295),converse(complement(X_295)))))))) != meet(zero,meet(converse(X_295),converse(complement(X_295))))
| meet(converse(zero),complement(converse(converse(complement(meet(converse(X_295),converse(complement(X_295)))))))) = meet(zero,meet(converse(X_295),converse(complement(X_295)))) ),
inference(subst,[],[refute_0_21:[bind(X,$fot(meet(converse(zero),complement(converse(converse(complement(meet(converse(X_295),converse(complement(X_295)))))))))),bind(Y,$fot(meet(zero,complement(converse(converse(complement(meet(converse(X_295),converse(complement(X_295)))))))))),bind(Z,$fot(meet(zero,meet(converse(X_295),converse(complement(X_295))))))]]) ).
cnf(refute_0_851,plain,
( meet(zero,complement(converse(converse(complement(meet(converse(X_295),converse(complement(X_295)))))))) != meet(zero,meet(converse(X_295),converse(complement(X_295))))
| meet(converse(zero),complement(converse(converse(complement(meet(converse(X_295),converse(complement(X_295)))))))) = meet(zero,meet(converse(X_295),converse(complement(X_295)))) ),
inference(resolve,[$cnf( $equal(meet(converse(zero),complement(converse(converse(complement(meet(converse(X_295),converse(complement(X_295)))))))),meet(zero,complement(converse(converse(complement(meet(converse(X_295),converse(complement(X_295))))))))) )],[refute_0_849,refute_0_850]) ).
cnf(refute_0_852,plain,
meet(converse(zero),complement(converse(converse(complement(meet(converse(X_295),converse(complement(X_295)))))))) = meet(zero,meet(converse(X_295),converse(complement(X_295)))),
inference(resolve,[$cnf( $equal(meet(zero,complement(converse(converse(complement(meet(converse(X_295),converse(complement(X_295)))))))),meet(zero,meet(converse(X_295),converse(complement(X_295))))) )],[refute_0_803,refute_0_851]) ).
cnf(refute_0_853,plain,
( meet(converse(zero),complement(converse(converse(complement(meet(converse(X_295),converse(complement(X_295)))))))) != meet(zero,meet(converse(X_295),converse(complement(X_295))))
| meet(zero,meet(converse(X_295),converse(complement(X_295)))) != zero
| meet(converse(zero),complement(converse(converse(complement(meet(converse(X_295),converse(complement(X_295)))))))) = zero ),
inference(subst,[],[refute_0_21:[bind(X,$fot(meet(converse(zero),complement(converse(converse(complement(meet(converse(X_295),converse(complement(X_295)))))))))),bind(Y,$fot(meet(zero,meet(converse(X_295),converse(complement(X_295)))))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_854,plain,
( meet(zero,meet(converse(X_295),converse(complement(X_295)))) != zero
| meet(converse(zero),complement(converse(converse(complement(meet(converse(X_295),converse(complement(X_295)))))))) = zero ),
inference(resolve,[$cnf( $equal(meet(converse(zero),complement(converse(converse(complement(meet(converse(X_295),converse(complement(X_295)))))))),meet(zero,meet(converse(X_295),converse(complement(X_295))))) )],[refute_0_852,refute_0_853]) ).
cnf(refute_0_855,plain,
meet(converse(zero),complement(converse(converse(complement(meet(converse(X_295),converse(complement(X_295)))))))) = zero,
inference(resolve,[$cnf( $equal(meet(zero,meet(converse(X_295),converse(complement(X_295)))),zero) )],[refute_0_799,refute_0_854]) ).
cnf(refute_0_856,plain,
meet(complement(converse(converse(complement(meet(converse(X_295),converse(complement(X_295))))))),converse(zero)) = meet(converse(zero),complement(converse(converse(complement(meet(converse(X_295),converse(complement(X_295)))))))),
inference(subst,[],[refute_0_413:[bind(X_6,$fot(converse(zero))),bind(X_7,$fot(complement(converse(converse(complement(meet(converse(X_295),converse(complement(X_295)))))))))]]) ).
cnf(refute_0_857,plain,
( meet(complement(converse(converse(complement(meet(converse(X_295),converse(complement(X_295))))))),converse(zero)) != meet(converse(zero),complement(converse(converse(complement(meet(converse(X_295),converse(complement(X_295))))))))
| meet(converse(zero),complement(converse(converse(complement(meet(converse(X_295),converse(complement(X_295)))))))) != zero
| meet(complement(converse(converse(complement(meet(converse(X_295),converse(complement(X_295))))))),converse(zero)) = zero ),
inference(subst,[],[refute_0_21:[bind(X,$fot(meet(complement(converse(converse(complement(meet(converse(X_295),converse(complement(X_295))))))),converse(zero)))),bind(Y,$fot(meet(converse(zero),complement(converse(converse(complement(meet(converse(X_295),converse(complement(X_295)))))))))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_858,plain,
( meet(converse(zero),complement(converse(converse(complement(meet(converse(X_295),converse(complement(X_295)))))))) != zero
| meet(complement(converse(converse(complement(meet(converse(X_295),converse(complement(X_295))))))),converse(zero)) = zero ),
inference(resolve,[$cnf( $equal(meet(complement(converse(converse(complement(meet(converse(X_295),converse(complement(X_295))))))),converse(zero)),meet(converse(zero),complement(converse(converse(complement(meet(converse(X_295),converse(complement(X_295))))))))) )],[refute_0_856,refute_0_857]) ).
cnf(refute_0_859,plain,
meet(complement(converse(converse(complement(meet(converse(X_295),converse(complement(X_295))))))),converse(zero)) = zero,
inference(resolve,[$cnf( $equal(meet(converse(zero),complement(converse(converse(complement(meet(converse(X_295),converse(complement(X_295)))))))),zero) )],[refute_0_855,refute_0_858]) ).
cnf(refute_0_860,plain,
( meet(complement(converse(converse(complement(meet(converse(X_295),converse(complement(X_295))))))),converse(zero)) != zero
| meet(converse(X_295),converse(complement(X_295))) != meet(complement(converse(converse(complement(meet(converse(X_295),converse(complement(X_295))))))),converse(zero))
| meet(converse(X_295),converse(complement(X_295))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(X_295),converse(complement(X_295))),meet(complement(converse(converse(complement(meet(converse(X_295),converse(complement(X_295))))))),converse(zero))) ),[1],$fot(zero)]]) ).
cnf(refute_0_861,plain,
( meet(converse(X_295),converse(complement(X_295))) != meet(complement(converse(converse(complement(meet(converse(X_295),converse(complement(X_295))))))),converse(zero))
| meet(converse(X_295),converse(complement(X_295))) = zero ),
inference(resolve,[$cnf( $equal(meet(complement(converse(converse(complement(meet(converse(X_295),converse(complement(X_295))))))),converse(zero)),zero) )],[refute_0_859,refute_0_860]) ).
cnf(refute_0_862,plain,
( complement(converse(converse(complement(meet(converse(X_295),converse(complement(X_295))))))) != meet(complement(converse(converse(complement(meet(converse(X_295),converse(complement(X_295))))))),converse(zero))
| meet(converse(X_295),converse(complement(X_295))) = zero ),
inference(resolve,[$cnf( $equal(meet(converse(X_295),converse(complement(X_295))),meet(complement(converse(converse(complement(meet(converse(X_295),converse(complement(X_295))))))),converse(zero))) )],[refute_0_767,refute_0_861]) ).
cnf(refute_0_863,plain,
meet(converse(X_295),converse(complement(X_295))) = zero,
inference(resolve,[$cnf( $equal(complement(converse(converse(complement(meet(converse(X_295),converse(complement(X_295))))))),meet(complement(converse(converse(complement(meet(converse(X_295),converse(complement(X_295))))))),converse(zero))) )],[refute_0_756,refute_0_862]) ).
cnf(refute_0_864,plain,
meet(converse(X_277),converse(complement(X_277))) = zero,
inference(subst,[],[refute_0_863:[bind(X_295,$fot(X_277))]]) ).
cnf(refute_0_865,plain,
join(complement(converse(X_277)),meet(converse(X_277),converse(complement(X_277)))) = join(complement(converse(X_277)),meet(converse(X_277),converse(complement(X_277)))),
introduced(tautology,[refl,[$fot(join(complement(converse(X_277)),meet(converse(X_277),converse(complement(X_277)))))]]) ).
cnf(refute_0_866,plain,
( join(complement(converse(X_277)),meet(converse(X_277),converse(complement(X_277)))) != join(complement(converse(X_277)),meet(converse(X_277),converse(complement(X_277))))
| meet(converse(X_277),converse(complement(X_277))) != zero
| join(complement(converse(X_277)),meet(converse(X_277),converse(complement(X_277)))) = join(complement(converse(X_277)),zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(X_277)),meet(converse(X_277),converse(complement(X_277)))),join(complement(converse(X_277)),meet(converse(X_277),converse(complement(X_277))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_867,plain,
( meet(converse(X_277),converse(complement(X_277))) != zero
| join(complement(converse(X_277)),meet(converse(X_277),converse(complement(X_277)))) = join(complement(converse(X_277)),zero) ),
inference(resolve,[$cnf( $equal(join(complement(converse(X_277)),meet(converse(X_277),converse(complement(X_277)))),join(complement(converse(X_277)),meet(converse(X_277),converse(complement(X_277))))) )],[refute_0_865,refute_0_866]) ).
cnf(refute_0_868,plain,
join(complement(converse(X_277)),meet(converse(X_277),converse(complement(X_277)))) = join(complement(converse(X_277)),zero),
inference(resolve,[$cnf( $equal(meet(converse(X_277),converse(complement(X_277))),zero) )],[refute_0_864,refute_0_867]) ).
cnf(refute_0_869,plain,
( join(complement(converse(X_277)),meet(converse(X_277),converse(complement(X_277)))) != join(complement(converse(X_277)),zero)
| join(complement(converse(X_277)),zero) != complement(converse(X_277))
| join(complement(converse(X_277)),meet(converse(X_277),converse(complement(X_277)))) = complement(converse(X_277)) ),
inference(subst,[],[refute_0_21:[bind(X,$fot(join(complement(converse(X_277)),meet(converse(X_277),converse(complement(X_277)))))),bind(Y,$fot(join(complement(converse(X_277)),zero))),bind(Z,$fot(complement(converse(X_277))))]]) ).
cnf(refute_0_870,plain,
( join(complement(converse(X_277)),zero) != complement(converse(X_277))
| join(complement(converse(X_277)),meet(converse(X_277),converse(complement(X_277)))) = complement(converse(X_277)) ),
inference(resolve,[$cnf( $equal(join(complement(converse(X_277)),meet(converse(X_277),converse(complement(X_277)))),join(complement(converse(X_277)),zero)) )],[refute_0_868,refute_0_869]) ).
cnf(refute_0_871,plain,
join(complement(converse(X_277)),meet(converse(X_277),converse(complement(X_277)))) = complement(converse(X_277)),
inference(resolve,[$cnf( $equal(join(complement(converse(X_277)),zero),complement(converse(X_277))) )],[refute_0_451,refute_0_870]) ).
cnf(refute_0_872,plain,
( converse(complement(X_277)) != join(complement(converse(X_277)),meet(converse(X_277),converse(complement(X_277))))
| join(complement(converse(X_277)),meet(converse(X_277),converse(complement(X_277)))) != complement(converse(X_277))
| converse(complement(X_277)) = complement(converse(X_277)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(complement(X_277)),complement(converse(X_277))) ),[0],$fot(join(complement(converse(X_277)),meet(converse(X_277),converse(complement(X_277)))))]]) ).
cnf(refute_0_873,plain,
( converse(complement(X_277)) != join(complement(converse(X_277)),meet(converse(X_277),converse(complement(X_277))))
| converse(complement(X_277)) = complement(converse(X_277)) ),
inference(resolve,[$cnf( $equal(join(complement(converse(X_277)),meet(converse(X_277),converse(complement(X_277)))),complement(converse(X_277))) )],[refute_0_871,refute_0_872]) ).
cnf(refute_0_874,plain,
converse(complement(X_277)) = complement(converse(X_277)),
inference(resolve,[$cnf( $equal(converse(complement(X_277)),join(complement(converse(X_277)),meet(converse(X_277),converse(complement(X_277))))) )],[refute_0_425,refute_0_873]) ).
cnf(refute_0_875,plain,
converse(complement(skolemFOFtoCNF_X0)) = complement(converse(skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_874:[bind(X_277,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_876,plain,
( complement(converse(skolemFOFtoCNF_X0)) != complement(converse(skolemFOFtoCNF_X0))
| converse(complement(skolemFOFtoCNF_X0)) != complement(converse(skolemFOFtoCNF_X0))
| converse(complement(skolemFOFtoCNF_X0)) = complement(converse(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))) ),[1],$fot(complement(converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_877,plain,
( complement(converse(skolemFOFtoCNF_X0)) != complement(converse(skolemFOFtoCNF_X0))
| converse(complement(skolemFOFtoCNF_X0)) = complement(converse(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(converse(complement(skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))) )],[refute_0_875,refute_0_876]) ).
cnf(refute_0_878,plain,
complement(converse(skolemFOFtoCNF_X0)) != complement(converse(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(converse(complement(skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))) )],[refute_0_877,refute_0_0]) ).
cnf(refute_0_879,plain,
complement(converse(skolemFOFtoCNF_X0)) = complement(converse(skolemFOFtoCNF_X0)),
introduced(tautology,[refl,[$fot(complement(converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_880,plain,
$false,
inference(resolve,[$cnf( $equal(complement(converse(skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))) )],[refute_0_879,refute_0_878]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : REL004+2 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n011.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Fri Jul 8 07:44:24 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 3.62/3.85 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.62/3.85
% 3.62/3.85 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.80/3.97
%------------------------------------------------------------------------------