TSTP Solution File: REL048+1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : REL048+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n028.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 19:46:16 EDT 2022
% Result : Theorem 0.83s 1.01s
% Output : CNFRefutation 0.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 101
% Number of leaves : 237
% Syntax : Number of formulae : 1007 ( 519 unt; 0 def)
% Number of atoms : 1714 (1712 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 1411 ( 704 ~; 693 |; 9 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 8 con; 0-2 aty)
% Number of variables : 1201 ( 17 sgn 67 !; 6 ?)
% 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(converse_idempotence,axiom,
! [X0] : converse(converse(X0)) = X0 ).
fof(converse_additivity,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(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,X1,X2] :
( join(join(X0,X1),X2) = X2
=> ( join(X0,X2) = X2
& join(X1,X2) = X2 ) ) ).
fof(subgoal_0,plain,
! [X0,X1,X2] :
( join(join(X0,X1),X2) = X2
=> join(X0,X2) = X2 ),
inference(strip,[],[goals]) ).
fof(subgoal_1,plain,
! [X0,X1,X2] :
( ( join(join(X0,X1),X2) = X2
& join(X0,X2) = X2 )
=> join(X1,X2) = X2 ),
inference(strip,[],[goals]) ).
fof(negate_0_0,plain,
~ ! [X0,X1,X2] :
( join(join(X0,X1),X2) = X2
=> join(X0,X2) = X2 ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,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_1,plain,
! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
inference(specialize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(canonicalize,[],[maddux1_join_commutativity]) ).
fof(normalize_0_3,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(specialize,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
inference(canonicalize,[],[maddux4_definiton_of_meet]) ).
fof(normalize_0_5,plain,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
inference(specialize,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(canonicalize,[],[maddux2_join_associativity]) ).
fof(normalize_0_7,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(specialize,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
! [X0] : top = join(X0,complement(X0)),
inference(canonicalize,[],[def_top]) ).
fof(normalize_0_9,plain,
! [X0] : top = join(X0,complement(X0)),
inference(specialize,[],[normalize_0_8]) ).
fof(normalize_0_10,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(canonicalize,[],[converse_additivity]) ).
fof(normalize_0_11,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(specialize,[],[normalize_0_10]) ).
fof(normalize_0_12,plain,
! [X0] : converse(converse(X0)) = X0,
inference(canonicalize,[],[converse_idempotence]) ).
fof(normalize_0_13,plain,
! [X0] : converse(converse(X0)) = 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,X2] :
( join(X0,X2) != X2
& join(join(X0,X1),X2) = X2 ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_17,plain,
( join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2) != skolemFOFtoCNF_X2
& join(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),skolemFOFtoCNF_X2) = skolemFOFtoCNF_X2 ),
inference(skolemize,[],[normalize_0_16]) ).
fof(normalize_0_18,plain,
join(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),skolemFOFtoCNF_X2) = skolemFOFtoCNF_X2,
inference(conjunct,[],[normalize_0_17]) ).
fof(normalize_0_19,plain,
join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2) != skolemFOFtoCNF_X2,
inference(conjunct,[],[normalize_0_17]) ).
cnf(refute_0_0,plain,
X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
inference(canonicalize,[],[normalize_0_1]) ).
cnf(refute_0_1,plain,
join(X0,X1) = join(X1,X0),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_2,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_3,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_4,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_2,refute_0_3]) ).
cnf(refute_0_5,plain,
( join(X0,X1) != join(X1,X0)
| join(X1,X0) = join(X0,X1) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(X0,X1))),bind(Y,$fot(join(X1,X0)))]]) ).
cnf(refute_0_6,plain,
join(X1,X0) = join(X0,X1),
inference(resolve,[$cnf( $equal(join(X0,X1),join(X1,X0)) )],[refute_0_1,refute_0_5]) ).
cnf(refute_0_7,plain,
join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),
inference(subst,[],[refute_0_6:[bind(X0,$fot(complement(join(complement(X0),X1)))),bind(X1,$fot(complement(join(complement(X0),complement(X1)))))]]) ).
cnf(refute_0_8,plain,
( X0 != join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1)))
| join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) != join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1))))
| X0 = join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) ),
introduced(tautology,[equality,[$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_9,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( $equal(join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1))))) )],[refute_0_7,refute_0_8]) ).
cnf(refute_0_10,plain,
X0 = join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),
inference(resolve,[$cnf( $equal(X0,join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1)))) )],[refute_0_0,refute_0_9]) ).
cnf(refute_0_11,plain,
join(complement(join(complement(X0),X1)),meet(X0,X1)) = join(meet(X0,X1),complement(join(complement(X0),X1))),
inference(subst,[],[refute_0_6:[bind(X0,$fot(meet(X0,X1))),bind(X1,$fot(complement(join(complement(X0),X1))))]]) ).
cnf(refute_0_12,plain,
meet(X0,X1) = complement(join(complement(X0),complement(X1))),
inference(canonicalize,[],[normalize_0_5]) ).
cnf(refute_0_13,plain,
( meet(X0,X1) != complement(join(complement(X0),complement(X1)))
| complement(join(complement(X0),complement(X1))) = meet(X0,X1) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(meet(X0,X1))),bind(Y,$fot(complement(join(complement(X0),complement(X1)))))]]) ).
cnf(refute_0_14,plain,
complement(join(complement(X0),complement(X1))) = meet(X0,X1),
inference(resolve,[$cnf( $equal(meet(X0,X1),complement(join(complement(X0),complement(X1)))) )],[refute_0_12,refute_0_13]) ).
cnf(refute_0_15,plain,
join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),
introduced(tautology,[refl,[$fot(join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))))]]) ).
cnf(refute_0_16,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_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)),meet(X0,X1)) ),
inference(resolve,[$cnf( $equal(join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1))))) )],[refute_0_15,refute_0_16]) ).
cnf(refute_0_18,plain,
join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = join(complement(join(complement(X0),X1)),meet(X0,X1)),
inference(resolve,[$cnf( $equal(complement(join(complement(X0),complement(X1))),meet(X0,X1)) )],[refute_0_14,refute_0_17]) ).
cnf(refute_0_19,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_20,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_4,refute_0_19]) ).
cnf(refute_0_21,plain,
( join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) != join(complement(join(complement(X0),X1)),meet(X0,X1))
| join(complement(join(complement(X0),X1)),meet(X0,X1)) != join(meet(X0,X1),complement(join(complement(X0),X1)))
| join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = join(meet(X0,X1),complement(join(complement(X0),X1))) ),
inference(subst,[],[refute_0_20:[bind(X,$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_22,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( $equal(join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),join(complement(join(complement(X0),X1)),meet(X0,X1))) )],[refute_0_18,refute_0_21]) ).
cnf(refute_0_23,plain,
join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = join(meet(X0,X1),complement(join(complement(X0),X1))),
inference(resolve,[$cnf( $equal(join(complement(join(complement(X0),X1)),meet(X0,X1)),join(meet(X0,X1),complement(join(complement(X0),X1)))) )],[refute_0_11,refute_0_22]) ).
cnf(refute_0_24,plain,
( X0 != join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1))))
| join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) != join(meet(X0,X1),complement(join(complement(X0),X1)))
| X0 = join(meet(X0,X1),complement(join(complement(X0),X1))) ),
introduced(tautology,[equality,[$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_25,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( $equal(join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),join(meet(X0,X1),complement(join(complement(X0),X1)))) )],[refute_0_23,refute_0_24]) ).
cnf(refute_0_26,plain,
X0 = join(meet(X0,X1),complement(join(complement(X0),X1))),
inference(resolve,[$cnf( $equal(X0,join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1))))) )],[refute_0_10,refute_0_25]) ).
cnf(refute_0_27,plain,
X_32 = join(meet(X_32,X_33),complement(join(complement(X_32),X_33))),
inference(subst,[],[refute_0_26:[bind(X0,$fot(X_32)),bind(X1,$fot(X_33))]]) ).
cnf(refute_0_28,plain,
join(X_33,complement(X_32)) = join(complement(X_32),X_33),
inference(subst,[],[refute_0_1:[bind(X0,$fot(X_33)),bind(X1,$fot(complement(X_32)))]]) ).
cnf(refute_0_29,plain,
( join(X_33,complement(X_32)) != join(complement(X_32),X_33)
| join(complement(X_32),X_33) = join(X_33,complement(X_32)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(X_33,complement(X_32)))),bind(Y,$fot(join(complement(X_32),X_33)))]]) ).
cnf(refute_0_30,plain,
join(complement(X_32),X_33) = join(X_33,complement(X_32)),
inference(resolve,[$cnf( $equal(join(X_33,complement(X_32)),join(complement(X_32),X_33)) )],[refute_0_28,refute_0_29]) ).
cnf(refute_0_31,plain,
( X_32 != join(meet(X_32,X_33),complement(join(complement(X_32),X_33)))
| join(complement(X_32),X_33) != join(X_33,complement(X_32))
| X_32 = join(meet(X_32,X_33),complement(join(X_33,complement(X_32)))) ),
introduced(tautology,[equality,[$cnf( $equal(X_32,join(meet(X_32,X_33),complement(join(complement(X_32),X_33)))) ),[1,1,0],$fot(join(X_33,complement(X_32)))]]) ).
cnf(refute_0_32,plain,
( X_32 != join(meet(X_32,X_33),complement(join(complement(X_32),X_33)))
| X_32 = join(meet(X_32,X_33),complement(join(X_33,complement(X_32)))) ),
inference(resolve,[$cnf( $equal(join(complement(X_32),X_33),join(X_33,complement(X_32))) )],[refute_0_30,refute_0_31]) ).
cnf(refute_0_33,plain,
X_32 = join(meet(X_32,X_33),complement(join(X_33,complement(X_32)))),
inference(resolve,[$cnf( $equal(X_32,join(meet(X_32,X_33),complement(join(complement(X_32),X_33)))) )],[refute_0_27,refute_0_32]) ).
cnf(refute_0_34,plain,
join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2) = join(meet(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),skolemFOFtoCNF_X2),complement(join(skolemFOFtoCNF_X2,complement(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))))),
inference(subst,[],[refute_0_33:[bind(X_32,$fot(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))),bind(X_33,$fot(skolemFOFtoCNF_X2))]]) ).
cnf(refute_0_35,plain,
join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_36,plain,
join(skolemFOFtoCNF_X0,join(meet(skolemFOFtoCNF_X2,complement(skolemFOFtoCNF_X0)),X2)) = join(join(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X2,complement(skolemFOFtoCNF_X0))),X2),
inference(subst,[],[refute_0_35:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X1,$fot(meet(skolemFOFtoCNF_X2,complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_37,plain,
X_32 = join(meet(X_32,complement(X1)),complement(join(complement(X_32),complement(X1)))),
inference(subst,[],[refute_0_26:[bind(X0,$fot(X_32)),bind(X1,$fot(complement(X1)))]]) ).
cnf(refute_0_38,plain,
meet(X_32,X1) = complement(join(complement(X_32),complement(X1))),
inference(subst,[],[refute_0_12:[bind(X0,$fot(X_32))]]) ).
cnf(refute_0_39,plain,
( meet(X_32,X1) != complement(join(complement(X_32),complement(X1)))
| complement(join(complement(X_32),complement(X1))) = meet(X_32,X1) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(meet(X_32,X1))),bind(Y,$fot(complement(join(complement(X_32),complement(X1)))))]]) ).
cnf(refute_0_40,plain,
complement(join(complement(X_32),complement(X1))) = meet(X_32,X1),
inference(resolve,[$cnf( $equal(meet(X_32,X1),complement(join(complement(X_32),complement(X1)))) )],[refute_0_38,refute_0_39]) ).
cnf(refute_0_41,plain,
( X_32 != join(meet(X_32,complement(X1)),complement(join(complement(X_32),complement(X1))))
| complement(join(complement(X_32),complement(X1))) != meet(X_32,X1)
| X_32 = join(meet(X_32,complement(X1)),meet(X_32,X1)) ),
introduced(tautology,[equality,[$cnf( $equal(X_32,join(meet(X_32,complement(X1)),complement(join(complement(X_32),complement(X1))))) ),[1,1],$fot(meet(X_32,X1))]]) ).
cnf(refute_0_42,plain,
( X_32 != join(meet(X_32,complement(X1)),complement(join(complement(X_32),complement(X1))))
| X_32 = join(meet(X_32,complement(X1)),meet(X_32,X1)) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_32),complement(X1))),meet(X_32,X1)) )],[refute_0_40,refute_0_41]) ).
cnf(refute_0_43,plain,
X_32 = join(meet(X_32,complement(X1)),meet(X_32,X1)),
inference(resolve,[$cnf( $equal(X_32,join(meet(X_32,complement(X1)),complement(join(complement(X_32),complement(X1))))) )],[refute_0_37,refute_0_42]) ).
cnf(refute_0_44,plain,
join(meet(X_32,complement(X1)),meet(X_32,X1)) = join(meet(X_32,X1),meet(X_32,complement(X1))),
inference(subst,[],[refute_0_6:[bind(X0,$fot(meet(X_32,X1))),bind(X1,$fot(meet(X_32,complement(X1))))]]) ).
cnf(refute_0_45,plain,
( X_32 != join(meet(X_32,complement(X1)),meet(X_32,X1))
| join(meet(X_32,complement(X1)),meet(X_32,X1)) != join(meet(X_32,X1),meet(X_32,complement(X1)))
| X_32 = join(meet(X_32,X1),meet(X_32,complement(X1))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_32,join(meet(X_32,X1),meet(X_32,complement(X1)))) ),[0],$fot(join(meet(X_32,complement(X1)),meet(X_32,X1)))]]) ).
cnf(refute_0_46,plain,
( X_32 != join(meet(X_32,complement(X1)),meet(X_32,X1))
| X_32 = join(meet(X_32,X1),meet(X_32,complement(X1))) ),
inference(resolve,[$cnf( $equal(join(meet(X_32,complement(X1)),meet(X_32,X1)),join(meet(X_32,X1),meet(X_32,complement(X1)))) )],[refute_0_44,refute_0_45]) ).
cnf(refute_0_47,plain,
X_32 = join(meet(X_32,X1),meet(X_32,complement(X1))),
inference(resolve,[$cnf( $equal(X_32,join(meet(X_32,complement(X1)),meet(X_32,X1))) )],[refute_0_43,refute_0_46]) ).
cnf(refute_0_48,plain,
X_43 = join(meet(X_43,X_42),meet(X_43,complement(X_42))),
inference(subst,[],[refute_0_47:[bind(X1,$fot(X_42)),bind(X_32,$fot(X_43))]]) ).
cnf(refute_0_49,plain,
meet(X_11,X_12) = complement(join(complement(X_11),complement(X_12))),
inference(subst,[],[refute_0_12:[bind(X0,$fot(X_11)),bind(X1,$fot(X_12))]]) ).
cnf(refute_0_50,plain,
join(complement(X_12),complement(X_11)) = join(complement(X_11),complement(X_12)),
inference(subst,[],[refute_0_1:[bind(X0,$fot(complement(X_12))),bind(X1,$fot(complement(X_11)))]]) ).
cnf(refute_0_51,plain,
( join(complement(X_12),complement(X_11)) != join(complement(X_11),complement(X_12))
| join(complement(X_11),complement(X_12)) = join(complement(X_12),complement(X_11)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(complement(X_12),complement(X_11)))),bind(Y,$fot(join(complement(X_11),complement(X_12))))]]) ).
cnf(refute_0_52,plain,
join(complement(X_11),complement(X_12)) = join(complement(X_12),complement(X_11)),
inference(resolve,[$cnf( $equal(join(complement(X_12),complement(X_11)),join(complement(X_11),complement(X_12))) )],[refute_0_50,refute_0_51]) ).
cnf(refute_0_53,plain,
( join(complement(X_11),complement(X_12)) != join(complement(X_12),complement(X_11))
| meet(X_11,X_12) != complement(join(complement(X_11),complement(X_12)))
| meet(X_11,X_12) = complement(join(complement(X_12),complement(X_11))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_11,X_12),complement(join(complement(X_11),complement(X_12)))) ),[1,0],$fot(join(complement(X_12),complement(X_11)))]]) ).
cnf(refute_0_54,plain,
( meet(X_11,X_12) != complement(join(complement(X_11),complement(X_12)))
| meet(X_11,X_12) = complement(join(complement(X_12),complement(X_11))) ),
inference(resolve,[$cnf( $equal(join(complement(X_11),complement(X_12)),join(complement(X_12),complement(X_11))) )],[refute_0_52,refute_0_53]) ).
cnf(refute_0_55,plain,
meet(X_11,X_12) = complement(join(complement(X_12),complement(X_11))),
inference(resolve,[$cnf( $equal(meet(X_11,X_12),complement(join(complement(X_11),complement(X_12)))) )],[refute_0_49,refute_0_54]) ).
cnf(refute_0_56,plain,
complement(join(complement(X_12),complement(X_11))) = meet(X_12,X_11),
inference(subst,[],[refute_0_14:[bind(X0,$fot(X_12)),bind(X1,$fot(X_11))]]) ).
cnf(refute_0_57,plain,
( complement(join(complement(X_12),complement(X_11))) != meet(X_12,X_11)
| meet(X_11,X_12) != complement(join(complement(X_12),complement(X_11)))
| meet(X_11,X_12) = meet(X_12,X_11) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_11,X_12),complement(join(complement(X_12),complement(X_11)))) ),[1],$fot(meet(X_12,X_11))]]) ).
cnf(refute_0_58,plain,
( meet(X_11,X_12) != complement(join(complement(X_12),complement(X_11)))
| meet(X_11,X_12) = meet(X_12,X_11) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_12),complement(X_11))),meet(X_12,X_11)) )],[refute_0_56,refute_0_57]) ).
cnf(refute_0_59,plain,
meet(X_11,X_12) = meet(X_12,X_11),
inference(resolve,[$cnf( $equal(meet(X_11,X_12),complement(join(complement(X_12),complement(X_11)))) )],[refute_0_55,refute_0_58]) ).
cnf(refute_0_60,plain,
meet(X_42,X_43) = meet(X_43,X_42),
inference(subst,[],[refute_0_59:[bind(X_11,$fot(X_42)),bind(X_12,$fot(X_43))]]) ).
cnf(refute_0_61,plain,
( meet(X_42,X_43) != meet(X_43,X_42)
| meet(X_43,X_42) = meet(X_42,X_43) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(meet(X_42,X_43))),bind(Y,$fot(meet(X_43,X_42)))]]) ).
cnf(refute_0_62,plain,
meet(X_43,X_42) = meet(X_42,X_43),
inference(resolve,[$cnf( $equal(meet(X_42,X_43),meet(X_43,X_42)) )],[refute_0_60,refute_0_61]) ).
cnf(refute_0_63,plain,
( X_43 != join(meet(X_43,X_42),meet(X_43,complement(X_42)))
| meet(X_43,X_42) != meet(X_42,X_43)
| X_43 = join(meet(X_42,X_43),meet(X_43,complement(X_42))) ),
introduced(tautology,[equality,[$cnf( $equal(X_43,join(meet(X_43,X_42),meet(X_43,complement(X_42)))) ),[1,0],$fot(meet(X_42,X_43))]]) ).
cnf(refute_0_64,plain,
( X_43 != join(meet(X_43,X_42),meet(X_43,complement(X_42)))
| X_43 = join(meet(X_42,X_43),meet(X_43,complement(X_42))) ),
inference(resolve,[$cnf( $equal(meet(X_43,X_42),meet(X_42,X_43)) )],[refute_0_62,refute_0_63]) ).
cnf(refute_0_65,plain,
X_43 = join(meet(X_42,X_43),meet(X_43,complement(X_42))),
inference(resolve,[$cnf( $equal(X_43,join(meet(X_43,X_42),meet(X_43,complement(X_42)))) )],[refute_0_48,refute_0_64]) ).
cnf(refute_0_66,plain,
skolemFOFtoCNF_X2 = join(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),meet(skolemFOFtoCNF_X2,complement(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_65:[bind(X_42,$fot(skolemFOFtoCNF_X0)),bind(X_43,$fot(skolemFOFtoCNF_X2))]]) ).
cnf(refute_0_67,plain,
meet(X_33,X_32) = meet(X_32,X_33),
inference(subst,[],[refute_0_59:[bind(X_11,$fot(X_33)),bind(X_12,$fot(X_32))]]) ).
cnf(refute_0_68,plain,
( meet(X_33,X_32) != meet(X_32,X_33)
| meet(X_32,X_33) = meet(X_33,X_32) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(meet(X_33,X_32))),bind(Y,$fot(meet(X_32,X_33)))]]) ).
cnf(refute_0_69,plain,
meet(X_32,X_33) = meet(X_33,X_32),
inference(resolve,[$cnf( $equal(meet(X_33,X_32),meet(X_32,X_33)) )],[refute_0_67,refute_0_68]) ).
cnf(refute_0_70,plain,
( X_32 != join(meet(X_32,X_33),complement(join(complement(X_32),X_33)))
| meet(X_32,X_33) != meet(X_33,X_32)
| X_32 = join(meet(X_33,X_32),complement(join(complement(X_32),X_33))) ),
introduced(tautology,[equality,[$cnf( $equal(X_32,join(meet(X_32,X_33),complement(join(complement(X_32),X_33)))) ),[1,0],$fot(meet(X_33,X_32))]]) ).
cnf(refute_0_71,plain,
( X_32 != join(meet(X_32,X_33),complement(join(complement(X_32),X_33)))
| X_32 = join(meet(X_33,X_32),complement(join(complement(X_32),X_33))) ),
inference(resolve,[$cnf( $equal(meet(X_32,X_33),meet(X_33,X_32)) )],[refute_0_69,refute_0_70]) ).
cnf(refute_0_72,plain,
X_32 = join(meet(X_33,X_32),complement(join(complement(X_32),X_33))),
inference(resolve,[$cnf( $equal(X_32,join(meet(X_32,X_33),complement(join(complement(X_32),X_33)))) )],[refute_0_27,refute_0_71]) ).
cnf(refute_0_73,plain,
X_32 = join(meet(join(complement(complement(X_32)),X_84),X_32),complement(join(complement(X_32),join(complement(complement(X_32)),X_84)))),
inference(subst,[],[refute_0_72:[bind(X_33,$fot(join(complement(complement(X_32)),X_84)))]]) ).
cnf(refute_0_74,plain,
join(X_79,join(complement(X_79),X_81)) = join(join(X_79,complement(X_79)),X_81),
inference(subst,[],[refute_0_35:[bind(X0,$fot(X_79)),bind(X1,$fot(complement(X_79))),bind(X2,$fot(X_81))]]) ).
cnf(refute_0_75,plain,
top = join(X0,complement(X0)),
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_76,plain,
top = join(X_79,complement(X_79)),
inference(subst,[],[refute_0_75:[bind(X0,$fot(X_79))]]) ).
cnf(refute_0_77,plain,
( top != join(X_79,complement(X_79))
| join(X_79,complement(X_79)) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(X_79,complement(X_79))))]]) ).
cnf(refute_0_78,plain,
join(X_79,complement(X_79)) = top,
inference(resolve,[$cnf( $equal(top,join(X_79,complement(X_79))) )],[refute_0_76,refute_0_77]) ).
cnf(refute_0_79,plain,
( join(X_79,complement(X_79)) != top
| join(X_79,join(complement(X_79),X_81)) != join(join(X_79,complement(X_79)),X_81)
| join(X_79,join(complement(X_79),X_81)) = join(top,X_81) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_79,join(complement(X_79),X_81)),join(join(X_79,complement(X_79)),X_81)) ),[1,0],$fot(top)]]) ).
cnf(refute_0_80,plain,
( join(X_79,join(complement(X_79),X_81)) != join(join(X_79,complement(X_79)),X_81)
| join(X_79,join(complement(X_79),X_81)) = join(top,X_81) ),
inference(resolve,[$cnf( $equal(join(X_79,complement(X_79)),top) )],[refute_0_78,refute_0_79]) ).
cnf(refute_0_81,plain,
join(X_79,join(complement(X_79),X_81)) = join(top,X_81),
inference(resolve,[$cnf( $equal(join(X_79,join(complement(X_79),X_81)),join(join(X_79,complement(X_79)),X_81)) )],[refute_0_74,refute_0_80]) ).
cnf(refute_0_82,plain,
join(top,X1) = join(X1,top),
inference(subst,[],[refute_0_1:[bind(X0,$fot(top))]]) ).
cnf(refute_0_83,plain,
converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(canonicalize,[],[normalize_0_11]) ).
cnf(refute_0_84,plain,
converse(join(converse(X0),X_18)) = join(converse(converse(X0)),converse(X_18)),
inference(subst,[],[refute_0_83:[bind(X0,$fot(converse(X0))),bind(X1,$fot(X_18))]]) ).
cnf(refute_0_85,plain,
converse(converse(X0)) = X0,
inference(canonicalize,[],[normalize_0_13]) ).
cnf(refute_0_86,plain,
( converse(converse(X0)) != X0
| converse(join(converse(X0),X_18)) != join(converse(converse(X0)),converse(X_18))
| converse(join(converse(X0),X_18)) = join(X0,converse(X_18)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X0),X_18)),join(converse(converse(X0)),converse(X_18))) ),[1,0],$fot(X0)]]) ).
cnf(refute_0_87,plain,
( converse(join(converse(X0),X_18)) != join(converse(converse(X0)),converse(X_18))
| converse(join(converse(X0),X_18)) = join(X0,converse(X_18)) ),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_0_85,refute_0_86]) ).
cnf(refute_0_88,plain,
converse(join(converse(X0),X_18)) = join(X0,converse(X_18)),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),X_18)),join(converse(converse(X0)),converse(X_18))) )],[refute_0_84,refute_0_87]) ).
cnf(refute_0_89,plain,
converse(join(converse(X0),converse(complement(meet(top,converse(converse(X0))))))) = join(X0,converse(converse(complement(meet(top,converse(converse(X0))))))),
inference(subst,[],[refute_0_88:[bind(X_18,$fot(converse(complement(meet(top,converse(converse(X0)))))))]]) ).
cnf(refute_0_90,plain,
converse(join(converse(X_19),complement(converse(X_19)))) = join(X_19,converse(complement(converse(X_19)))),
inference(subst,[],[refute_0_88:[bind(X0,$fot(X_19)),bind(X_18,$fot(complement(converse(X_19))))]]) ).
cnf(refute_0_91,plain,
top = join(converse(X_19),complement(converse(X_19))),
inference(subst,[],[refute_0_75:[bind(X0,$fot(converse(X_19)))]]) ).
cnf(refute_0_92,plain,
( top != join(converse(X_19),complement(converse(X_19)))
| join(converse(X_19),complement(converse(X_19))) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(converse(X_19),complement(converse(X_19)))))]]) ).
cnf(refute_0_93,plain,
join(converse(X_19),complement(converse(X_19))) = top,
inference(resolve,[$cnf( $equal(top,join(converse(X_19),complement(converse(X_19)))) )],[refute_0_91,refute_0_92]) ).
cnf(refute_0_94,plain,
( converse(join(converse(X_19),complement(converse(X_19)))) != join(X_19,converse(complement(converse(X_19))))
| join(converse(X_19),complement(converse(X_19))) != top
| converse(top) = join(X_19,converse(complement(converse(X_19)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X_19),complement(converse(X_19)))),join(X_19,converse(complement(converse(X_19))))) ),[0,0],$fot(top)]]) ).
cnf(refute_0_95,plain,
( converse(join(converse(X_19),complement(converse(X_19)))) != join(X_19,converse(complement(converse(X_19))))
| converse(top) = join(X_19,converse(complement(converse(X_19)))) ),
inference(resolve,[$cnf( $equal(join(converse(X_19),complement(converse(X_19))),top) )],[refute_0_93,refute_0_94]) ).
cnf(refute_0_96,plain,
converse(top) = join(X_19,converse(complement(converse(X_19)))),
inference(resolve,[$cnf( $equal(converse(join(converse(X_19),complement(converse(X_19)))),join(X_19,converse(complement(converse(X_19))))) )],[refute_0_90,refute_0_95]) ).
cnf(refute_0_97,plain,
converse(top) = join(join(X_49,converse(X_48)),converse(complement(converse(join(X_49,converse(X_48)))))),
inference(subst,[],[refute_0_96:[bind(X_19,$fot(join(X_49,converse(X_48))))]]) ).
cnf(refute_0_98,plain,
converse(join(X_17,converse(X0))) = join(converse(X_17),converse(converse(X0))),
inference(subst,[],[refute_0_83:[bind(X0,$fot(X_17)),bind(X1,$fot(converse(X0)))]]) ).
cnf(refute_0_99,plain,
( converse(converse(X0)) != X0
| converse(join(X_17,converse(X0))) != join(converse(X_17),converse(converse(X0)))
| converse(join(X_17,converse(X0))) = join(converse(X_17),X0) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X_17,converse(X0))),join(converse(X_17),converse(converse(X0)))) ),[1,1],$fot(X0)]]) ).
cnf(refute_0_100,plain,
( converse(join(X_17,converse(X0))) != join(converse(X_17),converse(converse(X0)))
| converse(join(X_17,converse(X0))) = join(converse(X_17),X0) ),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_0_85,refute_0_99]) ).
cnf(refute_0_101,plain,
converse(join(X_17,converse(X0))) = join(converse(X_17),X0),
inference(resolve,[$cnf( $equal(converse(join(X_17,converse(X0))),join(converse(X_17),converse(converse(X0)))) )],[refute_0_98,refute_0_100]) ).
cnf(refute_0_102,plain,
converse(join(X_49,converse(X_48))) = join(converse(X_49),X_48),
inference(subst,[],[refute_0_101:[bind(X0,$fot(X_48)),bind(X_17,$fot(X_49))]]) ).
cnf(refute_0_103,plain,
( converse(join(X_49,converse(X_48))) != join(converse(X_49),X_48)
| converse(top) != join(join(X_49,converse(X_48)),converse(complement(converse(join(X_49,converse(X_48))))))
| converse(top) = join(join(X_49,converse(X_48)),converse(complement(join(converse(X_49),X_48)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(top),join(join(X_49,converse(X_48)),converse(complement(converse(join(X_49,converse(X_48))))))) ),[1,1,0,0],$fot(join(converse(X_49),X_48))]]) ).
cnf(refute_0_104,plain,
( converse(top) != join(join(X_49,converse(X_48)),converse(complement(converse(join(X_49,converse(X_48))))))
| converse(top) = join(join(X_49,converse(X_48)),converse(complement(join(converse(X_49),X_48)))) ),
inference(resolve,[$cnf( $equal(converse(join(X_49,converse(X_48))),join(converse(X_49),X_48)) )],[refute_0_102,refute_0_103]) ).
cnf(refute_0_105,plain,
converse(top) = join(join(X_49,converse(X_48)),converse(complement(join(converse(X_49),X_48)))),
inference(resolve,[$cnf( $equal(converse(top),join(join(X_49,converse(X_48)),converse(complement(converse(join(X_49,converse(X_48))))))) )],[refute_0_97,refute_0_104]) ).
cnf(refute_0_106,plain,
( converse(join(X0,X1)) != join(converse(X0),converse(X1))
| join(converse(X0),converse(X1)) = converse(join(X0,X1)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(converse(join(X0,X1)))),bind(Y,$fot(join(converse(X0),converse(X1))))]]) ).
cnf(refute_0_107,plain,
join(converse(X0),converse(X1)) = converse(join(X0,X1)),
inference(resolve,[$cnf( $equal(converse(join(X0,X1)),join(converse(X0),converse(X1))) )],[refute_0_83,refute_0_106]) ).
cnf(refute_0_108,plain,
join(converse(X_48),converse(complement(join(converse(X_49),X_48)))) = converse(join(X_48,complement(join(converse(X_49),X_48)))),
inference(subst,[],[refute_0_107:[bind(X0,$fot(X_48)),bind(X1,$fot(complement(join(converse(X_49),X_48))))]]) ).
cnf(refute_0_109,plain,
join(X_49,join(converse(X_48),converse(complement(join(converse(X_49),X_48))))) = join(X_49,join(converse(X_48),converse(complement(join(converse(X_49),X_48))))),
introduced(tautology,[refl,[$fot(join(X_49,join(converse(X_48),converse(complement(join(converse(X_49),X_48))))))]]) ).
cnf(refute_0_110,plain,
( join(X_49,join(converse(X_48),converse(complement(join(converse(X_49),X_48))))) != join(X_49,join(converse(X_48),converse(complement(join(converse(X_49),X_48)))))
| join(converse(X_48),converse(complement(join(converse(X_49),X_48)))) != converse(join(X_48,complement(join(converse(X_49),X_48))))
| join(X_49,join(converse(X_48),converse(complement(join(converse(X_49),X_48))))) = join(X_49,converse(join(X_48,complement(join(converse(X_49),X_48))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_49,join(converse(X_48),converse(complement(join(converse(X_49),X_48))))),join(X_49,join(converse(X_48),converse(complement(join(converse(X_49),X_48)))))) ),[1,1],$fot(converse(join(X_48,complement(join(converse(X_49),X_48)))))]]) ).
cnf(refute_0_111,plain,
( join(converse(X_48),converse(complement(join(converse(X_49),X_48)))) != converse(join(X_48,complement(join(converse(X_49),X_48))))
| join(X_49,join(converse(X_48),converse(complement(join(converse(X_49),X_48))))) = join(X_49,converse(join(X_48,complement(join(converse(X_49),X_48))))) ),
inference(resolve,[$cnf( $equal(join(X_49,join(converse(X_48),converse(complement(join(converse(X_49),X_48))))),join(X_49,join(converse(X_48),converse(complement(join(converse(X_49),X_48)))))) )],[refute_0_109,refute_0_110]) ).
cnf(refute_0_112,plain,
join(X_49,join(converse(X_48),converse(complement(join(converse(X_49),X_48))))) = join(X_49,converse(join(X_48,complement(join(converse(X_49),X_48))))),
inference(resolve,[$cnf( $equal(join(converse(X_48),converse(complement(join(converse(X_49),X_48)))),converse(join(X_48,complement(join(converse(X_49),X_48))))) )],[refute_0_108,refute_0_111]) ).
cnf(refute_0_113,plain,
( join(X0,join(X1,X2)) != join(join(X0,X1),X2)
| join(join(X0,X1),X2) = join(X0,join(X1,X2)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(X0,join(X1,X2)))),bind(Y,$fot(join(join(X0,X1),X2)))]]) ).
cnf(refute_0_114,plain,
join(join(X0,X1),X2) = join(X0,join(X1,X2)),
inference(resolve,[$cnf( $equal(join(X0,join(X1,X2)),join(join(X0,X1),X2)) )],[refute_0_35,refute_0_113]) ).
cnf(refute_0_115,plain,
join(join(X_49,converse(X_48)),converse(complement(join(converse(X_49),X_48)))) = join(X_49,join(converse(X_48),converse(complement(join(converse(X_49),X_48))))),
inference(subst,[],[refute_0_114:[bind(X0,$fot(X_49)),bind(X1,$fot(converse(X_48))),bind(X2,$fot(converse(complement(join(converse(X_49),X_48)))))]]) ).
cnf(refute_0_116,plain,
( join(X_49,join(converse(X_48),converse(complement(join(converse(X_49),X_48))))) != join(X_49,converse(join(X_48,complement(join(converse(X_49),X_48)))))
| join(join(X_49,converse(X_48)),converse(complement(join(converse(X_49),X_48)))) != join(X_49,join(converse(X_48),converse(complement(join(converse(X_49),X_48)))))
| join(join(X_49,converse(X_48)),converse(complement(join(converse(X_49),X_48)))) = join(X_49,converse(join(X_48,complement(join(converse(X_49),X_48))))) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(join(join(X_49,converse(X_48)),converse(complement(join(converse(X_49),X_48)))))),bind(Y,$fot(join(X_49,join(converse(X_48),converse(complement(join(converse(X_49),X_48))))))),bind(Z,$fot(join(X_49,converse(join(X_48,complement(join(converse(X_49),X_48)))))))]]) ).
cnf(refute_0_117,plain,
( join(X_49,join(converse(X_48),converse(complement(join(converse(X_49),X_48))))) != join(X_49,converse(join(X_48,complement(join(converse(X_49),X_48)))))
| join(join(X_49,converse(X_48)),converse(complement(join(converse(X_49),X_48)))) = join(X_49,converse(join(X_48,complement(join(converse(X_49),X_48))))) ),
inference(resolve,[$cnf( $equal(join(join(X_49,converse(X_48)),converse(complement(join(converse(X_49),X_48)))),join(X_49,join(converse(X_48),converse(complement(join(converse(X_49),X_48)))))) )],[refute_0_115,refute_0_116]) ).
cnf(refute_0_118,plain,
join(join(X_49,converse(X_48)),converse(complement(join(converse(X_49),X_48)))) = join(X_49,converse(join(X_48,complement(join(converse(X_49),X_48))))),
inference(resolve,[$cnf( $equal(join(X_49,join(converse(X_48),converse(complement(join(converse(X_49),X_48))))),join(X_49,converse(join(X_48,complement(join(converse(X_49),X_48)))))) )],[refute_0_112,refute_0_117]) ).
cnf(refute_0_119,plain,
( converse(top) != join(join(X_49,converse(X_48)),converse(complement(join(converse(X_49),X_48))))
| join(join(X_49,converse(X_48)),converse(complement(join(converse(X_49),X_48)))) != join(X_49,converse(join(X_48,complement(join(converse(X_49),X_48)))))
| converse(top) = join(X_49,converse(join(X_48,complement(join(converse(X_49),X_48))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(top),join(X_49,converse(join(X_48,complement(join(converse(X_49),X_48)))))) ),[0],$fot(join(join(X_49,converse(X_48)),converse(complement(join(converse(X_49),X_48)))))]]) ).
cnf(refute_0_120,plain,
( converse(top) != join(join(X_49,converse(X_48)),converse(complement(join(converse(X_49),X_48))))
| converse(top) = join(X_49,converse(join(X_48,complement(join(converse(X_49),X_48))))) ),
inference(resolve,[$cnf( $equal(join(join(X_49,converse(X_48)),converse(complement(join(converse(X_49),X_48)))),join(X_49,converse(join(X_48,complement(join(converse(X_49),X_48)))))) )],[refute_0_118,refute_0_119]) ).
cnf(refute_0_121,plain,
converse(top) = join(X_49,converse(join(X_48,complement(join(converse(X_49),X_48))))),
inference(resolve,[$cnf( $equal(converse(top),join(join(X_49,converse(X_48)),converse(complement(join(converse(X_49),X_48))))) )],[refute_0_105,refute_0_120]) ).
cnf(refute_0_122,plain,
converse(top) = join(X_67,converse(join(complement(converse(X_67)),complement(join(converse(X_67),complement(converse(X_67))))))),
inference(subst,[],[refute_0_121:[bind(X_48,$fot(complement(converse(X_67)))),bind(X_49,$fot(X_67))]]) ).
cnf(refute_0_123,plain,
top = join(converse(X_67),complement(converse(X_67))),
inference(subst,[],[refute_0_75:[bind(X0,$fot(converse(X_67)))]]) ).
cnf(refute_0_124,plain,
( top != join(converse(X_67),complement(converse(X_67)))
| join(converse(X_67),complement(converse(X_67))) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(converse(X_67),complement(converse(X_67)))))]]) ).
cnf(refute_0_125,plain,
join(converse(X_67),complement(converse(X_67))) = top,
inference(resolve,[$cnf( $equal(top,join(converse(X_67),complement(converse(X_67)))) )],[refute_0_123,refute_0_124]) ).
cnf(refute_0_126,plain,
( converse(top) != join(X_67,converse(join(complement(converse(X_67)),complement(join(converse(X_67),complement(converse(X_67)))))))
| join(converse(X_67),complement(converse(X_67))) != top
| converse(top) = join(X_67,converse(join(complement(converse(X_67)),complement(top)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(top),join(X_67,converse(join(complement(converse(X_67)),complement(join(converse(X_67),complement(converse(X_67)))))))) ),[1,1,0,1,0],$fot(top)]]) ).
cnf(refute_0_127,plain,
( converse(top) != join(X_67,converse(join(complement(converse(X_67)),complement(join(converse(X_67),complement(converse(X_67)))))))
| converse(top) = join(X_67,converse(join(complement(converse(X_67)),complement(top)))) ),
inference(resolve,[$cnf( $equal(join(converse(X_67),complement(converse(X_67))),top) )],[refute_0_125,refute_0_126]) ).
cnf(refute_0_128,plain,
converse(top) = join(X_67,converse(join(complement(converse(X_67)),complement(top)))),
inference(resolve,[$cnf( $equal(converse(top),join(X_67,converse(join(complement(converse(X_67)),complement(join(converse(X_67),complement(converse(X_67)))))))) )],[refute_0_122,refute_0_127]) ).
cnf(refute_0_129,plain,
X_32 = join(meet(X_32,complement(complement(X_32))),complement(join(complement(X_32),complement(complement(X_32))))),
inference(subst,[],[refute_0_26:[bind(X0,$fot(X_32)),bind(X1,$fot(complement(complement(X_32))))]]) ).
cnf(refute_0_130,plain,
top = join(complement(X_32),complement(complement(X_32))),
inference(subst,[],[refute_0_75:[bind(X0,$fot(complement(X_32)))]]) ).
cnf(refute_0_131,plain,
( top != join(complement(X_32),complement(complement(X_32)))
| join(complement(X_32),complement(complement(X_32))) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(complement(X_32),complement(complement(X_32)))))]]) ).
cnf(refute_0_132,plain,
join(complement(X_32),complement(complement(X_32))) = top,
inference(resolve,[$cnf( $equal(top,join(complement(X_32),complement(complement(X_32)))) )],[refute_0_130,refute_0_131]) ).
cnf(refute_0_133,plain,
( X_32 != join(meet(X_32,complement(complement(X_32))),complement(join(complement(X_32),complement(complement(X_32)))))
| join(complement(X_32),complement(complement(X_32))) != top
| X_32 = join(meet(X_32,complement(complement(X_32))),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(X_32,join(meet(X_32,complement(complement(X_32))),complement(join(complement(X_32),complement(complement(X_32)))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_0_134,plain,
( X_32 != join(meet(X_32,complement(complement(X_32))),complement(join(complement(X_32),complement(complement(X_32)))))
| X_32 = join(meet(X_32,complement(complement(X_32))),complement(top)) ),
inference(resolve,[$cnf( $equal(join(complement(X_32),complement(complement(X_32))),top) )],[refute_0_132,refute_0_133]) ).
cnf(refute_0_135,plain,
X_32 = join(meet(X_32,complement(complement(X_32))),complement(top)),
inference(resolve,[$cnf( $equal(X_32,join(meet(X_32,complement(complement(X_32))),complement(join(complement(X_32),complement(complement(X_32)))))) )],[refute_0_129,refute_0_134]) ).
cnf(refute_0_136,plain,
zero = meet(X0,complement(X0)),
inference(canonicalize,[],[normalize_0_15]) ).
cnf(refute_0_137,plain,
zero = meet(join(complement(X_11),complement(X_12)),complement(join(complement(X_11),complement(X_12)))),
inference(subst,[],[refute_0_136:[bind(X0,$fot(join(complement(X_11),complement(X_12))))]]) ).
cnf(refute_0_138,plain,
( meet(X_11,X_12) != complement(join(complement(X_11),complement(X_12)))
| complement(join(complement(X_11),complement(X_12))) = meet(X_11,X_12) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(meet(X_11,X_12))),bind(Y,$fot(complement(join(complement(X_11),complement(X_12)))))]]) ).
cnf(refute_0_139,plain,
complement(join(complement(X_11),complement(X_12))) = meet(X_11,X_12),
inference(resolve,[$cnf( $equal(meet(X_11,X_12),complement(join(complement(X_11),complement(X_12)))) )],[refute_0_49,refute_0_138]) ).
cnf(refute_0_140,plain,
( complement(join(complement(X_11),complement(X_12))) != meet(X_11,X_12)
| zero != meet(join(complement(X_11),complement(X_12)),complement(join(complement(X_11),complement(X_12))))
| zero = meet(join(complement(X_11),complement(X_12)),meet(X_11,X_12)) ),
introduced(tautology,[equality,[$cnf( $equal(zero,meet(join(complement(X_11),complement(X_12)),complement(join(complement(X_11),complement(X_12))))) ),[1,1],$fot(meet(X_11,X_12))]]) ).
cnf(refute_0_141,plain,
( zero != meet(join(complement(X_11),complement(X_12)),complement(join(complement(X_11),complement(X_12))))
| zero = meet(join(complement(X_11),complement(X_12)),meet(X_11,X_12)) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_11),complement(X_12))),meet(X_11,X_12)) )],[refute_0_139,refute_0_140]) ).
cnf(refute_0_142,plain,
zero = meet(join(complement(X_11),complement(X_12)),meet(X_11,X_12)),
inference(resolve,[$cnf( $equal(zero,meet(join(complement(X_11),complement(X_12)),complement(join(complement(X_11),complement(X_12))))) )],[refute_0_137,refute_0_141]) ).
cnf(refute_0_143,plain,
( top != join(X0,complement(X0))
| join(X0,complement(X0)) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(X0,complement(X0))))]]) ).
cnf(refute_0_144,plain,
join(X0,complement(X0)) = top,
inference(resolve,[$cnf( $equal(top,join(X0,complement(X0))) )],[refute_0_75,refute_0_143]) ).
cnf(refute_0_145,plain,
join(meet(X_11,X_12),complement(meet(X_11,X_12))) = top,
inference(subst,[],[refute_0_144:[bind(X0,$fot(meet(X_11,X_12)))]]) ).
cnf(refute_0_146,plain,
complement(join(meet(X_11,X_12),complement(meet(X_11,X_12)))) = complement(join(meet(X_11,X_12),complement(meet(X_11,X_12)))),
introduced(tautology,[refl,[$fot(complement(join(meet(X_11,X_12),complement(meet(X_11,X_12)))))]]) ).
cnf(refute_0_147,plain,
( complement(join(meet(X_11,X_12),complement(meet(X_11,X_12)))) != complement(join(meet(X_11,X_12),complement(meet(X_11,X_12))))
| join(meet(X_11,X_12),complement(meet(X_11,X_12))) != top
| complement(join(meet(X_11,X_12),complement(meet(X_11,X_12)))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(meet(X_11,X_12),complement(meet(X_11,X_12)))),complement(join(meet(X_11,X_12),complement(meet(X_11,X_12))))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_148,plain,
( join(meet(X_11,X_12),complement(meet(X_11,X_12))) != top
| complement(join(meet(X_11,X_12),complement(meet(X_11,X_12)))) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(join(meet(X_11,X_12),complement(meet(X_11,X_12)))),complement(join(meet(X_11,X_12),complement(meet(X_11,X_12))))) )],[refute_0_146,refute_0_147]) ).
cnf(refute_0_149,plain,
complement(join(meet(X_11,X_12),complement(meet(X_11,X_12)))) = complement(top),
inference(resolve,[$cnf( $equal(join(meet(X_11,X_12),complement(meet(X_11,X_12))),top) )],[refute_0_145,refute_0_148]) ).
cnf(refute_0_150,plain,
meet(join(complement(X_11),complement(X_12)),X1) = complement(join(complement(join(complement(X_11),complement(X_12))),complement(X1))),
inference(subst,[],[refute_0_12:[bind(X0,$fot(join(complement(X_11),complement(X_12))))]]) ).
cnf(refute_0_151,plain,
( complement(join(complement(X_11),complement(X_12))) != meet(X_11,X_12)
| meet(join(complement(X_11),complement(X_12)),X1) != complement(join(complement(join(complement(X_11),complement(X_12))),complement(X1)))
| meet(join(complement(X_11),complement(X_12)),X1) = complement(join(meet(X_11,X_12),complement(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(complement(X_11),complement(X_12)),X1),complement(join(complement(join(complement(X_11),complement(X_12))),complement(X1)))) ),[1,0,0],$fot(meet(X_11,X_12))]]) ).
cnf(refute_0_152,plain,
( meet(join(complement(X_11),complement(X_12)),X1) != complement(join(complement(join(complement(X_11),complement(X_12))),complement(X1)))
| meet(join(complement(X_11),complement(X_12)),X1) = complement(join(meet(X_11,X_12),complement(X1))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_11),complement(X_12))),meet(X_11,X_12)) )],[refute_0_139,refute_0_151]) ).
cnf(refute_0_153,plain,
meet(join(complement(X_11),complement(X_12)),X1) = complement(join(meet(X_11,X_12),complement(X1))),
inference(resolve,[$cnf( $equal(meet(join(complement(X_11),complement(X_12)),X1),complement(join(complement(join(complement(X_11),complement(X_12))),complement(X1)))) )],[refute_0_150,refute_0_152]) ).
cnf(refute_0_154,plain,
meet(join(complement(X_11),complement(X_12)),meet(X_11,X_12)) = complement(join(meet(X_11,X_12),complement(meet(X_11,X_12)))),
inference(subst,[],[refute_0_153:[bind(X1,$fot(meet(X_11,X_12)))]]) ).
cnf(refute_0_155,plain,
( complement(join(meet(X_11,X_12),complement(meet(X_11,X_12)))) != complement(top)
| meet(join(complement(X_11),complement(X_12)),meet(X_11,X_12)) != complement(join(meet(X_11,X_12),complement(meet(X_11,X_12))))
| meet(join(complement(X_11),complement(X_12)),meet(X_11,X_12)) = complement(top) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(meet(join(complement(X_11),complement(X_12)),meet(X_11,X_12)))),bind(Y,$fot(complement(join(meet(X_11,X_12),complement(meet(X_11,X_12)))))),bind(Z,$fot(complement(top)))]]) ).
cnf(refute_0_156,plain,
( complement(join(meet(X_11,X_12),complement(meet(X_11,X_12)))) != complement(top)
| meet(join(complement(X_11),complement(X_12)),meet(X_11,X_12)) = complement(top) ),
inference(resolve,[$cnf( $equal(meet(join(complement(X_11),complement(X_12)),meet(X_11,X_12)),complement(join(meet(X_11,X_12),complement(meet(X_11,X_12))))) )],[refute_0_154,refute_0_155]) ).
cnf(refute_0_157,plain,
meet(join(complement(X_11),complement(X_12)),meet(X_11,X_12)) = complement(top),
inference(resolve,[$cnf( $equal(complement(join(meet(X_11,X_12),complement(meet(X_11,X_12)))),complement(top)) )],[refute_0_149,refute_0_156]) ).
cnf(refute_0_158,plain,
( meet(join(complement(X_11),complement(X_12)),meet(X_11,X_12)) != complement(top)
| zero != meet(join(complement(X_11),complement(X_12)),meet(X_11,X_12))
| zero = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(zero,meet(join(complement(X_11),complement(X_12)),meet(X_11,X_12))) ),[1],$fot(complement(top))]]) ).
cnf(refute_0_159,plain,
( zero != meet(join(complement(X_11),complement(X_12)),meet(X_11,X_12))
| zero = complement(top) ),
inference(resolve,[$cnf( $equal(meet(join(complement(X_11),complement(X_12)),meet(X_11,X_12)),complement(top)) )],[refute_0_157,refute_0_158]) ).
cnf(refute_0_160,plain,
zero = complement(top),
inference(resolve,[$cnf( $equal(zero,meet(join(complement(X_11),complement(X_12)),meet(X_11,X_12))) )],[refute_0_142,refute_0_159]) ).
cnf(refute_0_161,plain,
( zero != complement(top)
| complement(top) = zero ),
inference(subst,[],[refute_0_4:[bind(X,$fot(zero)),bind(Y,$fot(complement(top)))]]) ).
cnf(refute_0_162,plain,
complement(top) = zero,
inference(resolve,[$cnf( $equal(zero,complement(top)) )],[refute_0_160,refute_0_161]) ).
cnf(refute_0_163,plain,
join(complement(top),meet(X_32,complement(complement(X_32)))) = join(complement(top),meet(X_32,complement(complement(X_32)))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(X_32,complement(complement(X_32)))))]]) ).
cnf(refute_0_164,plain,
( complement(top) != zero
| join(complement(top),meet(X_32,complement(complement(X_32)))) != join(complement(top),meet(X_32,complement(complement(X_32))))
| join(complement(top),meet(X_32,complement(complement(X_32)))) = join(zero,meet(X_32,complement(complement(X_32)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(X_32,complement(complement(X_32)))),join(complement(top),meet(X_32,complement(complement(X_32))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_165,plain,
( complement(top) != zero
| join(complement(top),meet(X_32,complement(complement(X_32)))) = join(zero,meet(X_32,complement(complement(X_32)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_32,complement(complement(X_32)))),join(complement(top),meet(X_32,complement(complement(X_32))))) )],[refute_0_163,refute_0_164]) ).
cnf(refute_0_166,plain,
join(complement(top),meet(X_32,complement(complement(X_32)))) = join(zero,meet(X_32,complement(complement(X_32)))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_162,refute_0_165]) ).
cnf(refute_0_167,plain,
join(meet(X_32,complement(complement(X_32))),complement(top)) = join(complement(top),meet(X_32,complement(complement(X_32)))),
inference(subst,[],[refute_0_6:[bind(X0,$fot(complement(top))),bind(X1,$fot(meet(X_32,complement(complement(X_32)))))]]) ).
cnf(refute_0_168,plain,
( join(complement(top),meet(X_32,complement(complement(X_32)))) != join(zero,meet(X_32,complement(complement(X_32))))
| join(meet(X_32,complement(complement(X_32))),complement(top)) != join(complement(top),meet(X_32,complement(complement(X_32))))
| join(meet(X_32,complement(complement(X_32))),complement(top)) = join(zero,meet(X_32,complement(complement(X_32)))) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(join(meet(X_32,complement(complement(X_32))),complement(top)))),bind(Y,$fot(join(complement(top),meet(X_32,complement(complement(X_32)))))),bind(Z,$fot(join(zero,meet(X_32,complement(complement(X_32))))))]]) ).
cnf(refute_0_169,plain,
( join(complement(top),meet(X_32,complement(complement(X_32)))) != join(zero,meet(X_32,complement(complement(X_32))))
| join(meet(X_32,complement(complement(X_32))),complement(top)) = join(zero,meet(X_32,complement(complement(X_32)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_32,complement(complement(X_32))),complement(top)),join(complement(top),meet(X_32,complement(complement(X_32))))) )],[refute_0_167,refute_0_168]) ).
cnf(refute_0_170,plain,
join(meet(X_32,complement(complement(X_32))),complement(top)) = join(zero,meet(X_32,complement(complement(X_32)))),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_32,complement(complement(X_32)))),join(zero,meet(X_32,complement(complement(X_32))))) )],[refute_0_166,refute_0_169]) ).
cnf(refute_0_171,plain,
( X_32 != join(meet(X_32,complement(complement(X_32))),complement(top))
| join(meet(X_32,complement(complement(X_32))),complement(top)) != join(zero,meet(X_32,complement(complement(X_32))))
| X_32 = join(zero,meet(X_32,complement(complement(X_32)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_32,join(zero,meet(X_32,complement(complement(X_32))))) ),[0],$fot(join(meet(X_32,complement(complement(X_32))),complement(top)))]]) ).
cnf(refute_0_172,plain,
( X_32 != join(meet(X_32,complement(complement(X_32))),complement(top))
| X_32 = join(zero,meet(X_32,complement(complement(X_32)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_32,complement(complement(X_32))),complement(top)),join(zero,meet(X_32,complement(complement(X_32))))) )],[refute_0_170,refute_0_171]) ).
cnf(refute_0_173,plain,
X_32 = join(zero,meet(X_32,complement(complement(X_32)))),
inference(resolve,[$cnf( $equal(X_32,join(meet(X_32,complement(complement(X_32))),complement(top))) )],[refute_0_135,refute_0_172]) ).
cnf(refute_0_174,plain,
join(complement(X0),complement(X1)) = join(zero,meet(join(complement(X0),complement(X1)),complement(complement(join(complement(X0),complement(X1)))))),
inference(subst,[],[refute_0_173:[bind(X_32,$fot(join(complement(X0),complement(X1))))]]) ).
cnf(refute_0_175,plain,
( complement(join(complement(X0),complement(X1))) != meet(X0,X1)
| join(complement(X0),complement(X1)) != join(zero,meet(join(complement(X0),complement(X1)),complement(complement(join(complement(X0),complement(X1))))))
| join(complement(X0),complement(X1)) = join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X0),complement(X1)),join(zero,meet(join(complement(X0),complement(X1)),complement(complement(join(complement(X0),complement(X1))))))) ),[1,1,1,0],$fot(meet(X0,X1))]]) ).
cnf(refute_0_176,plain,
( join(complement(X0),complement(X1)) != join(zero,meet(join(complement(X0),complement(X1)),complement(complement(join(complement(X0),complement(X1))))))
| join(complement(X0),complement(X1)) = join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1)))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X0),complement(X1))),meet(X0,X1)) )],[refute_0_14,refute_0_175]) ).
cnf(refute_0_177,plain,
join(complement(X0),complement(X1)) = join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1)))),
inference(resolve,[$cnf( $equal(join(complement(X0),complement(X1)),join(zero,meet(join(complement(X0),complement(X1)),complement(complement(join(complement(X0),complement(X1))))))) )],[refute_0_174,refute_0_176]) ).
cnf(refute_0_178,plain,
join(complement(complement(meet(X0,X1))),meet(X0,X1)) = join(meet(X0,X1),complement(complement(meet(X0,X1)))),
inference(subst,[],[refute_0_6:[bind(X0,$fot(meet(X0,X1))),bind(X1,$fot(complement(complement(meet(X0,X1)))))]]) ).
cnf(refute_0_179,plain,
complement(join(complement(complement(meet(X0,X1))),meet(X0,X1))) = complement(join(complement(complement(meet(X0,X1))),meet(X0,X1))),
introduced(tautology,[refl,[$fot(complement(join(complement(complement(meet(X0,X1))),meet(X0,X1))))]]) ).
cnf(refute_0_180,plain,
( complement(join(complement(complement(meet(X0,X1))),meet(X0,X1))) != complement(join(complement(complement(meet(X0,X1))),meet(X0,X1)))
| join(complement(complement(meet(X0,X1))),meet(X0,X1)) != join(meet(X0,X1),complement(complement(meet(X0,X1))))
| complement(join(complement(complement(meet(X0,X1))),meet(X0,X1))) = complement(join(meet(X0,X1),complement(complement(meet(X0,X1))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(complement(meet(X0,X1))),meet(X0,X1))),complement(join(complement(complement(meet(X0,X1))),meet(X0,X1)))) ),[1,0],$fot(join(meet(X0,X1),complement(complement(meet(X0,X1)))))]]) ).
cnf(refute_0_181,plain,
( join(complement(complement(meet(X0,X1))),meet(X0,X1)) != join(meet(X0,X1),complement(complement(meet(X0,X1))))
| complement(join(complement(complement(meet(X0,X1))),meet(X0,X1))) = complement(join(meet(X0,X1),complement(complement(meet(X0,X1))))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(complement(meet(X0,X1))),meet(X0,X1))),complement(join(complement(complement(meet(X0,X1))),meet(X0,X1)))) )],[refute_0_179,refute_0_180]) ).
cnf(refute_0_182,plain,
complement(join(complement(complement(meet(X0,X1))),meet(X0,X1))) = complement(join(meet(X0,X1),complement(complement(meet(X0,X1))))),
inference(resolve,[$cnf( $equal(join(complement(complement(meet(X0,X1))),meet(X0,X1)),join(meet(X0,X1),complement(complement(meet(X0,X1))))) )],[refute_0_178,refute_0_181]) ).
cnf(refute_0_183,plain,
meet(X0,join(complement(X_11),complement(X_12))) = complement(join(complement(X0),complement(join(complement(X_11),complement(X_12))))),
inference(subst,[],[refute_0_12:[bind(X1,$fot(join(complement(X_11),complement(X_12))))]]) ).
cnf(refute_0_184,plain,
( complement(join(complement(X_11),complement(X_12))) != meet(X_11,X_12)
| meet(X0,join(complement(X_11),complement(X_12))) != complement(join(complement(X0),complement(join(complement(X_11),complement(X_12)))))
| meet(X0,join(complement(X_11),complement(X_12))) = complement(join(complement(X0),meet(X_11,X_12))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X0,join(complement(X_11),complement(X_12))),complement(join(complement(X0),complement(join(complement(X_11),complement(X_12)))))) ),[1,0,1],$fot(meet(X_11,X_12))]]) ).
cnf(refute_0_185,plain,
( meet(X0,join(complement(X_11),complement(X_12))) != complement(join(complement(X0),complement(join(complement(X_11),complement(X_12)))))
| meet(X0,join(complement(X_11),complement(X_12))) = complement(join(complement(X0),meet(X_11,X_12))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_11),complement(X_12))),meet(X_11,X_12)) )],[refute_0_139,refute_0_184]) ).
cnf(refute_0_186,plain,
meet(X0,join(complement(X_11),complement(X_12))) = complement(join(complement(X0),meet(X_11,X_12))),
inference(resolve,[$cnf( $equal(meet(X0,join(complement(X_11),complement(X_12))),complement(join(complement(X0),complement(join(complement(X_11),complement(X_12)))))) )],[refute_0_183,refute_0_185]) ).
cnf(refute_0_187,plain,
meet(complement(meet(X0,X1)),join(complement(X0),complement(X1))) = complement(join(complement(complement(meet(X0,X1))),meet(X0,X1))),
inference(subst,[],[refute_0_186:[bind(X0,$fot(complement(meet(X0,X1)))),bind(X_11,$fot(X0)),bind(X_12,$fot(X1))]]) ).
cnf(refute_0_188,plain,
( meet(X_11,X_12) != meet(X_12,X_11)
| meet(X_12,X_11) = meet(X_11,X_12) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(meet(X_11,X_12))),bind(Y,$fot(meet(X_12,X_11)))]]) ).
cnf(refute_0_189,plain,
meet(X_12,X_11) = meet(X_11,X_12),
inference(resolve,[$cnf( $equal(meet(X_11,X_12),meet(X_12,X_11)) )],[refute_0_59,refute_0_188]) ).
cnf(refute_0_190,plain,
meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))) = meet(complement(meet(X0,X1)),join(complement(X0),complement(X1))),
inference(subst,[],[refute_0_189:[bind(X_11,$fot(complement(meet(X0,X1)))),bind(X_12,$fot(join(complement(X0),complement(X1))))]]) ).
cnf(refute_0_191,plain,
( meet(complement(meet(X0,X1)),join(complement(X0),complement(X1))) != complement(join(complement(complement(meet(X0,X1))),meet(X0,X1)))
| meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))) != meet(complement(meet(X0,X1)),join(complement(X0),complement(X1)))
| meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))) = complement(join(complement(complement(meet(X0,X1))),meet(X0,X1))) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))))),bind(Y,$fot(meet(complement(meet(X0,X1)),join(complement(X0),complement(X1))))),bind(Z,$fot(complement(join(complement(complement(meet(X0,X1))),meet(X0,X1)))))]]) ).
cnf(refute_0_192,plain,
( meet(complement(meet(X0,X1)),join(complement(X0),complement(X1))) != complement(join(complement(complement(meet(X0,X1))),meet(X0,X1)))
| meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))) = complement(join(complement(complement(meet(X0,X1))),meet(X0,X1))) ),
inference(resolve,[$cnf( $equal(meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))),meet(complement(meet(X0,X1)),join(complement(X0),complement(X1)))) )],[refute_0_190,refute_0_191]) ).
cnf(refute_0_193,plain,
meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))) = complement(join(complement(complement(meet(X0,X1))),meet(X0,X1))),
inference(resolve,[$cnf( $equal(meet(complement(meet(X0,X1)),join(complement(X0),complement(X1))),complement(join(complement(complement(meet(X0,X1))),meet(X0,X1)))) )],[refute_0_187,refute_0_192]) ).
cnf(refute_0_194,plain,
( complement(join(complement(complement(meet(X0,X1))),meet(X0,X1))) != complement(join(meet(X0,X1),complement(complement(meet(X0,X1)))))
| meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))) != complement(join(complement(complement(meet(X0,X1))),meet(X0,X1)))
| meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))) = complement(join(meet(X0,X1),complement(complement(meet(X0,X1))))) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))))),bind(Y,$fot(complement(join(complement(complement(meet(X0,X1))),meet(X0,X1))))),bind(Z,$fot(complement(join(meet(X0,X1),complement(complement(meet(X0,X1)))))))]]) ).
cnf(refute_0_195,plain,
( complement(join(complement(complement(meet(X0,X1))),meet(X0,X1))) != complement(join(meet(X0,X1),complement(complement(meet(X0,X1)))))
| meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))) = complement(join(meet(X0,X1),complement(complement(meet(X0,X1))))) ),
inference(resolve,[$cnf( $equal(meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))),complement(join(complement(complement(meet(X0,X1))),meet(X0,X1)))) )],[refute_0_193,refute_0_194]) ).
cnf(refute_0_196,plain,
meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))) = complement(join(meet(X0,X1),complement(complement(meet(X0,X1))))),
inference(resolve,[$cnf( $equal(complement(join(complement(complement(meet(X0,X1))),meet(X0,X1))),complement(join(meet(X0,X1),complement(complement(meet(X0,X1)))))) )],[refute_0_182,refute_0_195]) ).
cnf(refute_0_197,plain,
join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1)))) = join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1)))),
introduced(tautology,[refl,[$fot(join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1)))))]]) ).
cnf(refute_0_198,plain,
( join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1)))) != join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))))
| meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))) != complement(join(meet(X0,X1),complement(complement(meet(X0,X1)))))
| join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1)))) = join(zero,complement(join(meet(X0,X1),complement(complement(meet(X0,X1)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1)))),join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))))) ),[1,1],$fot(complement(join(meet(X0,X1),complement(complement(meet(X0,X1))))))]]) ).
cnf(refute_0_199,plain,
( meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))) != complement(join(meet(X0,X1),complement(complement(meet(X0,X1)))))
| join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1)))) = join(zero,complement(join(meet(X0,X1),complement(complement(meet(X0,X1)))))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1)))),join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))))) )],[refute_0_197,refute_0_198]) ).
cnf(refute_0_200,plain,
join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1)))) = join(zero,complement(join(meet(X0,X1),complement(complement(meet(X0,X1)))))),
inference(resolve,[$cnf( $equal(meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))),complement(join(meet(X0,X1),complement(complement(meet(X0,X1)))))) )],[refute_0_196,refute_0_199]) ).
cnf(refute_0_201,plain,
( join(complement(X0),complement(X1)) != join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))))
| join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1)))) != join(zero,complement(join(meet(X0,X1),complement(complement(meet(X0,X1))))))
| join(complement(X0),complement(X1)) = join(zero,complement(join(meet(X0,X1),complement(complement(meet(X0,X1)))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(complement(X0),complement(X1)),join(zero,complement(join(meet(X0,X1),complement(complement(meet(X0,X1))))))) ),[0],$fot(join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1)))))]]) ).
cnf(refute_0_202,plain,
( join(complement(X0),complement(X1)) != join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))))
| join(complement(X0),complement(X1)) = join(zero,complement(join(meet(X0,X1),complement(complement(meet(X0,X1)))))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1)))),join(zero,complement(join(meet(X0,X1),complement(complement(meet(X0,X1))))))) )],[refute_0_200,refute_0_201]) ).
cnf(refute_0_203,plain,
join(complement(X0),complement(X1)) = join(zero,complement(join(meet(X0,X1),complement(complement(meet(X0,X1)))))),
inference(resolve,[$cnf( $equal(join(complement(X0),complement(X1)),join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))))) )],[refute_0_177,refute_0_202]) ).
cnf(refute_0_204,plain,
complement(X_58) = join(meet(X_58,complement(X_58)),complement(join(complement(complement(X_58)),X_58))),
inference(subst,[],[refute_0_72:[bind(X_32,$fot(complement(X_58))),bind(X_33,$fot(X_58))]]) ).
cnf(refute_0_205,plain,
zero = meet(X_58,complement(X_58)),
inference(subst,[],[refute_0_136:[bind(X0,$fot(X_58))]]) ).
cnf(refute_0_206,plain,
( zero != meet(X_58,complement(X_58))
| meet(X_58,complement(X_58)) = zero ),
inference(subst,[],[refute_0_4:[bind(X,$fot(zero)),bind(Y,$fot(meet(X_58,complement(X_58))))]]) ).
cnf(refute_0_207,plain,
meet(X_58,complement(X_58)) = zero,
inference(resolve,[$cnf( $equal(zero,meet(X_58,complement(X_58))) )],[refute_0_205,refute_0_206]) ).
cnf(refute_0_208,plain,
( complement(X_58) != join(meet(X_58,complement(X_58)),complement(join(complement(complement(X_58)),X_58)))
| meet(X_58,complement(X_58)) != zero
| complement(X_58) = join(zero,complement(join(complement(complement(X_58)),X_58))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(X_58),join(meet(X_58,complement(X_58)),complement(join(complement(complement(X_58)),X_58)))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_209,plain,
( complement(X_58) != join(meet(X_58,complement(X_58)),complement(join(complement(complement(X_58)),X_58)))
| complement(X_58) = join(zero,complement(join(complement(complement(X_58)),X_58))) ),
inference(resolve,[$cnf( $equal(meet(X_58,complement(X_58)),zero) )],[refute_0_207,refute_0_208]) ).
cnf(refute_0_210,plain,
complement(X_58) = join(zero,complement(join(complement(complement(X_58)),X_58))),
inference(resolve,[$cnf( $equal(complement(X_58),join(meet(X_58,complement(X_58)),complement(join(complement(complement(X_58)),X_58)))) )],[refute_0_204,refute_0_209]) ).
cnf(refute_0_211,plain,
join(complement(complement(X_58)),X_58) = join(X_58,complement(complement(X_58))),
inference(subst,[],[refute_0_6:[bind(X0,$fot(X_58)),bind(X1,$fot(complement(complement(X_58))))]]) ).
cnf(refute_0_212,plain,
complement(join(complement(complement(X_58)),X_58)) = complement(join(complement(complement(X_58)),X_58)),
introduced(tautology,[refl,[$fot(complement(join(complement(complement(X_58)),X_58)))]]) ).
cnf(refute_0_213,plain,
( complement(join(complement(complement(X_58)),X_58)) != complement(join(complement(complement(X_58)),X_58))
| join(complement(complement(X_58)),X_58) != join(X_58,complement(complement(X_58)))
| complement(join(complement(complement(X_58)),X_58)) = complement(join(X_58,complement(complement(X_58)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(complement(X_58)),X_58)),complement(join(complement(complement(X_58)),X_58))) ),[1,0],$fot(join(X_58,complement(complement(X_58))))]]) ).
cnf(refute_0_214,plain,
( join(complement(complement(X_58)),X_58) != join(X_58,complement(complement(X_58)))
| complement(join(complement(complement(X_58)),X_58)) = complement(join(X_58,complement(complement(X_58)))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(complement(X_58)),X_58)),complement(join(complement(complement(X_58)),X_58))) )],[refute_0_212,refute_0_213]) ).
cnf(refute_0_215,plain,
complement(join(complement(complement(X_58)),X_58)) = complement(join(X_58,complement(complement(X_58)))),
inference(resolve,[$cnf( $equal(join(complement(complement(X_58)),X_58),join(X_58,complement(complement(X_58)))) )],[refute_0_211,refute_0_214]) ).
cnf(refute_0_216,plain,
join(zero,complement(join(complement(complement(X_58)),X_58))) = join(zero,complement(join(complement(complement(X_58)),X_58))),
introduced(tautology,[refl,[$fot(join(zero,complement(join(complement(complement(X_58)),X_58))))]]) ).
cnf(refute_0_217,plain,
( complement(join(complement(complement(X_58)),X_58)) != complement(join(X_58,complement(complement(X_58))))
| join(zero,complement(join(complement(complement(X_58)),X_58))) != join(zero,complement(join(complement(complement(X_58)),X_58)))
| join(zero,complement(join(complement(complement(X_58)),X_58))) = join(zero,complement(join(X_58,complement(complement(X_58))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,complement(join(complement(complement(X_58)),X_58))),join(zero,complement(join(complement(complement(X_58)),X_58)))) ),[1,1],$fot(complement(join(X_58,complement(complement(X_58)))))]]) ).
cnf(refute_0_218,plain,
( complement(join(complement(complement(X_58)),X_58)) != complement(join(X_58,complement(complement(X_58))))
| join(zero,complement(join(complement(complement(X_58)),X_58))) = join(zero,complement(join(X_58,complement(complement(X_58))))) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(complement(complement(X_58)),X_58))),join(zero,complement(join(complement(complement(X_58)),X_58)))) )],[refute_0_216,refute_0_217]) ).
cnf(refute_0_219,plain,
join(zero,complement(join(complement(complement(X_58)),X_58))) = join(zero,complement(join(X_58,complement(complement(X_58))))),
inference(resolve,[$cnf( $equal(complement(join(complement(complement(X_58)),X_58)),complement(join(X_58,complement(complement(X_58))))) )],[refute_0_215,refute_0_218]) ).
cnf(refute_0_220,plain,
( complement(X_58) != join(zero,complement(join(complement(complement(X_58)),X_58)))
| join(zero,complement(join(complement(complement(X_58)),X_58))) != join(zero,complement(join(X_58,complement(complement(X_58)))))
| complement(X_58) = join(zero,complement(join(X_58,complement(complement(X_58))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(X_58),join(zero,complement(join(X_58,complement(complement(X_58)))))) ),[0],$fot(join(zero,complement(join(complement(complement(X_58)),X_58))))]]) ).
cnf(refute_0_221,plain,
( complement(X_58) != join(zero,complement(join(complement(complement(X_58)),X_58)))
| complement(X_58) = join(zero,complement(join(X_58,complement(complement(X_58))))) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(complement(complement(X_58)),X_58))),join(zero,complement(join(X_58,complement(complement(X_58)))))) )],[refute_0_219,refute_0_220]) ).
cnf(refute_0_222,plain,
complement(X_58) = join(zero,complement(join(X_58,complement(complement(X_58))))),
inference(resolve,[$cnf( $equal(complement(X_58),join(zero,complement(join(complement(complement(X_58)),X_58)))) )],[refute_0_210,refute_0_221]) ).
cnf(refute_0_223,plain,
( complement(X_58) != join(zero,complement(join(X_58,complement(complement(X_58)))))
| join(zero,complement(join(X_58,complement(complement(X_58))))) = complement(X_58) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(complement(X_58))),bind(Y,$fot(join(zero,complement(join(X_58,complement(complement(X_58)))))))]]) ).
cnf(refute_0_224,plain,
join(zero,complement(join(X_58,complement(complement(X_58))))) = complement(X_58),
inference(resolve,[$cnf( $equal(complement(X_58),join(zero,complement(join(X_58,complement(complement(X_58)))))) )],[refute_0_222,refute_0_223]) ).
cnf(refute_0_225,plain,
join(zero,complement(join(meet(X0,X1),complement(complement(meet(X0,X1)))))) = complement(meet(X0,X1)),
inference(subst,[],[refute_0_224:[bind(X_58,$fot(meet(X0,X1)))]]) ).
cnf(refute_0_226,plain,
( join(complement(X0),complement(X1)) != join(zero,complement(join(meet(X0,X1),complement(complement(meet(X0,X1))))))
| join(zero,complement(join(meet(X0,X1),complement(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(join(meet(X0,X1),complement(complement(meet(X0,X1)))))))]]) ).
cnf(refute_0_227,plain,
( join(complement(X0),complement(X1)) != join(zero,complement(join(meet(X0,X1),complement(complement(meet(X0,X1))))))
| join(complement(X0),complement(X1)) = complement(meet(X0,X1)) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(meet(X0,X1),complement(complement(meet(X0,X1)))))),complement(meet(X0,X1))) )],[refute_0_225,refute_0_226]) ).
cnf(refute_0_228,plain,
join(complement(X0),complement(X1)) = complement(meet(X0,X1)),
inference(resolve,[$cnf( $equal(join(complement(X0),complement(X1)),join(zero,complement(join(meet(X0,X1),complement(complement(meet(X0,X1))))))) )],[refute_0_203,refute_0_227]) ).
cnf(refute_0_229,plain,
join(complement(top),complement(converse(X_67))) = complement(meet(top,converse(X_67))),
inference(subst,[],[refute_0_228:[bind(X0,$fot(top)),bind(X1,$fot(converse(X_67)))]]) ).
cnf(refute_0_230,plain,
converse(join(complement(top),complement(converse(X_67)))) = converse(join(complement(top),complement(converse(X_67)))),
introduced(tautology,[refl,[$fot(converse(join(complement(top),complement(converse(X_67)))))]]) ).
cnf(refute_0_231,plain,
( converse(join(complement(top),complement(converse(X_67)))) != converse(join(complement(top),complement(converse(X_67))))
| join(complement(top),complement(converse(X_67))) != complement(meet(top,converse(X_67)))
| converse(join(complement(top),complement(converse(X_67)))) = converse(complement(meet(top,converse(X_67)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(complement(top),complement(converse(X_67)))),converse(join(complement(top),complement(converse(X_67))))) ),[1,0],$fot(complement(meet(top,converse(X_67))))]]) ).
cnf(refute_0_232,plain,
( join(complement(top),complement(converse(X_67))) != complement(meet(top,converse(X_67)))
| converse(join(complement(top),complement(converse(X_67)))) = converse(complement(meet(top,converse(X_67)))) ),
inference(resolve,[$cnf( $equal(converse(join(complement(top),complement(converse(X_67)))),converse(join(complement(top),complement(converse(X_67))))) )],[refute_0_230,refute_0_231]) ).
cnf(refute_0_233,plain,
converse(join(complement(top),complement(converse(X_67)))) = converse(complement(meet(top,converse(X_67)))),
inference(resolve,[$cnf( $equal(join(complement(top),complement(converse(X_67))),complement(meet(top,converse(X_67)))) )],[refute_0_229,refute_0_232]) ).
cnf(refute_0_234,plain,
join(converse(X_18),converse(X_17)) = join(converse(X_17),converse(X_18)),
inference(subst,[],[refute_0_1:[bind(X0,$fot(converse(X_18))),bind(X1,$fot(converse(X_17)))]]) ).
cnf(refute_0_235,plain,
converse(join(X_17,X_18)) = join(converse(X_17),converse(X_18)),
inference(subst,[],[refute_0_83:[bind(X0,$fot(X_17)),bind(X1,$fot(X_18))]]) ).
cnf(refute_0_236,plain,
( converse(join(X_17,X_18)) != join(converse(X_17),converse(X_18))
| join(converse(X_17),converse(X_18)) = converse(join(X_17,X_18)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(converse(join(X_17,X_18)))),bind(Y,$fot(join(converse(X_17),converse(X_18))))]]) ).
cnf(refute_0_237,plain,
join(converse(X_17),converse(X_18)) = converse(join(X_17,X_18)),
inference(resolve,[$cnf( $equal(converse(join(X_17,X_18)),join(converse(X_17),converse(X_18))) )],[refute_0_235,refute_0_236]) ).
cnf(refute_0_238,plain,
( join(converse(X_17),converse(X_18)) != converse(join(X_17,X_18))
| join(converse(X_18),converse(X_17)) != join(converse(X_17),converse(X_18))
| join(converse(X_18),converse(X_17)) = converse(join(X_17,X_18)) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(X_18),converse(X_17)),join(converse(X_17),converse(X_18))) ),[1],$fot(converse(join(X_17,X_18)))]]) ).
cnf(refute_0_239,plain,
( join(converse(X_18),converse(X_17)) != join(converse(X_17),converse(X_18))
| join(converse(X_18),converse(X_17)) = converse(join(X_17,X_18)) ),
inference(resolve,[$cnf( $equal(join(converse(X_17),converse(X_18)),converse(join(X_17,X_18))) )],[refute_0_237,refute_0_238]) ).
cnf(refute_0_240,plain,
join(converse(X_18),converse(X_17)) = converse(join(X_17,X_18)),
inference(resolve,[$cnf( $equal(join(converse(X_18),converse(X_17)),join(converse(X_17),converse(X_18))) )],[refute_0_234,refute_0_239]) ).
cnf(refute_0_241,plain,
join(converse(X_18),converse(X_17)) = converse(join(X_18,X_17)),
inference(subst,[],[refute_0_107:[bind(X0,$fot(X_18)),bind(X1,$fot(X_17))]]) ).
cnf(refute_0_242,plain,
( join(converse(X_18),converse(X_17)) != converse(join(X_17,X_18))
| join(converse(X_18),converse(X_17)) != converse(join(X_18,X_17))
| converse(join(X_18,X_17)) = converse(join(X_17,X_18)) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(X_18),converse(X_17)),converse(join(X_17,X_18))) ),[0],$fot(converse(join(X_18,X_17)))]]) ).
cnf(refute_0_243,plain,
( join(converse(X_18),converse(X_17)) != converse(join(X_17,X_18))
| converse(join(X_18,X_17)) = converse(join(X_17,X_18)) ),
inference(resolve,[$cnf( $equal(join(converse(X_18),converse(X_17)),converse(join(X_18,X_17))) )],[refute_0_241,refute_0_242]) ).
cnf(refute_0_244,plain,
converse(join(X_18,X_17)) = converse(join(X_17,X_18)),
inference(resolve,[$cnf( $equal(join(converse(X_18),converse(X_17)),converse(join(X_17,X_18))) )],[refute_0_240,refute_0_243]) ).
cnf(refute_0_245,plain,
( converse(join(X_18,X_17)) != converse(join(X_17,X_18))
| converse(join(X_17,X_18)) = converse(join(X_18,X_17)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(converse(join(X_18,X_17)))),bind(Y,$fot(converse(join(X_17,X_18))))]]) ).
cnf(refute_0_246,plain,
converse(join(X_17,X_18)) = converse(join(X_18,X_17)),
inference(resolve,[$cnf( $equal(converse(join(X_18,X_17)),converse(join(X_17,X_18))) )],[refute_0_244,refute_0_245]) ).
cnf(refute_0_247,plain,
converse(join(complement(converse(X_67)),complement(top))) = converse(join(complement(top),complement(converse(X_67)))),
inference(subst,[],[refute_0_246:[bind(X_17,$fot(complement(converse(X_67)))),bind(X_18,$fot(complement(top)))]]) ).
cnf(refute_0_248,plain,
( converse(join(complement(converse(X_67)),complement(top))) != converse(join(complement(top),complement(converse(X_67))))
| converse(join(complement(top),complement(converse(X_67)))) != converse(complement(meet(top,converse(X_67))))
| converse(join(complement(converse(X_67)),complement(top))) = converse(complement(meet(top,converse(X_67)))) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(converse(join(complement(converse(X_67)),complement(top))))),bind(Y,$fot(converse(join(complement(top),complement(converse(X_67)))))),bind(Z,$fot(converse(complement(meet(top,converse(X_67))))))]]) ).
cnf(refute_0_249,plain,
( converse(join(complement(top),complement(converse(X_67)))) != converse(complement(meet(top,converse(X_67))))
| converse(join(complement(converse(X_67)),complement(top))) = converse(complement(meet(top,converse(X_67)))) ),
inference(resolve,[$cnf( $equal(converse(join(complement(converse(X_67)),complement(top))),converse(join(complement(top),complement(converse(X_67))))) )],[refute_0_247,refute_0_248]) ).
cnf(refute_0_250,plain,
converse(join(complement(converse(X_67)),complement(top))) = converse(complement(meet(top,converse(X_67)))),
inference(resolve,[$cnf( $equal(converse(join(complement(top),complement(converse(X_67)))),converse(complement(meet(top,converse(X_67))))) )],[refute_0_233,refute_0_249]) ).
cnf(refute_0_251,plain,
join(X_67,converse(join(complement(converse(X_67)),complement(top)))) = join(X_67,converse(join(complement(converse(X_67)),complement(top)))),
introduced(tautology,[refl,[$fot(join(X_67,converse(join(complement(converse(X_67)),complement(top)))))]]) ).
cnf(refute_0_252,plain,
( converse(join(complement(converse(X_67)),complement(top))) != converse(complement(meet(top,converse(X_67))))
| join(X_67,converse(join(complement(converse(X_67)),complement(top)))) != join(X_67,converse(join(complement(converse(X_67)),complement(top))))
| join(X_67,converse(join(complement(converse(X_67)),complement(top)))) = join(X_67,converse(complement(meet(top,converse(X_67))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_67,converse(join(complement(converse(X_67)),complement(top)))),join(X_67,converse(join(complement(converse(X_67)),complement(top))))) ),[1,1],$fot(converse(complement(meet(top,converse(X_67)))))]]) ).
cnf(refute_0_253,plain,
( converse(join(complement(converse(X_67)),complement(top))) != converse(complement(meet(top,converse(X_67))))
| join(X_67,converse(join(complement(converse(X_67)),complement(top)))) = join(X_67,converse(complement(meet(top,converse(X_67))))) ),
inference(resolve,[$cnf( $equal(join(X_67,converse(join(complement(converse(X_67)),complement(top)))),join(X_67,converse(join(complement(converse(X_67)),complement(top))))) )],[refute_0_251,refute_0_252]) ).
cnf(refute_0_254,plain,
join(X_67,converse(join(complement(converse(X_67)),complement(top)))) = join(X_67,converse(complement(meet(top,converse(X_67))))),
inference(resolve,[$cnf( $equal(converse(join(complement(converse(X_67)),complement(top))),converse(complement(meet(top,converse(X_67))))) )],[refute_0_250,refute_0_253]) ).
cnf(refute_0_255,plain,
( converse(top) != join(X_67,converse(join(complement(converse(X_67)),complement(top))))
| join(X_67,converse(join(complement(converse(X_67)),complement(top)))) != join(X_67,converse(complement(meet(top,converse(X_67)))))
| converse(top) = join(X_67,converse(complement(meet(top,converse(X_67))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(top),join(X_67,converse(complement(meet(top,converse(X_67)))))) ),[0],$fot(join(X_67,converse(join(complement(converse(X_67)),complement(top)))))]]) ).
cnf(refute_0_256,plain,
( converse(top) != join(X_67,converse(join(complement(converse(X_67)),complement(top))))
| converse(top) = join(X_67,converse(complement(meet(top,converse(X_67))))) ),
inference(resolve,[$cnf( $equal(join(X_67,converse(join(complement(converse(X_67)),complement(top)))),join(X_67,converse(complement(meet(top,converse(X_67)))))) )],[refute_0_254,refute_0_255]) ).
cnf(refute_0_257,plain,
converse(top) = join(X_67,converse(complement(meet(top,converse(X_67))))),
inference(resolve,[$cnf( $equal(converse(top),join(X_67,converse(join(complement(converse(X_67)),complement(top))))) )],[refute_0_128,refute_0_256]) ).
cnf(refute_0_258,plain,
converse(top) = join(converse(X0),converse(complement(meet(top,converse(converse(X0)))))),
inference(subst,[],[refute_0_257:[bind(X_67,$fot(converse(X0)))]]) ).
cnf(refute_0_259,plain,
( converse(top) != join(converse(X0),converse(complement(meet(top,converse(converse(X0))))))
| join(converse(X0),converse(complement(meet(top,converse(converse(X0)))))) = converse(top) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(converse(top))),bind(Y,$fot(join(converse(X0),converse(complement(meet(top,converse(converse(X0))))))))]]) ).
cnf(refute_0_260,plain,
join(converse(X0),converse(complement(meet(top,converse(converse(X0)))))) = converse(top),
inference(resolve,[$cnf( $equal(converse(top),join(converse(X0),converse(complement(meet(top,converse(converse(X0))))))) )],[refute_0_258,refute_0_259]) ).
cnf(refute_0_261,plain,
( converse(join(converse(X0),converse(complement(meet(top,converse(converse(X0))))))) != join(X0,converse(converse(complement(meet(top,converse(converse(X0)))))))
| join(converse(X0),converse(complement(meet(top,converse(converse(X0)))))) != converse(top)
| converse(converse(top)) = join(X0,converse(converse(complement(meet(top,converse(converse(X0))))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X0),converse(complement(meet(top,converse(converse(X0))))))),join(X0,converse(converse(complement(meet(top,converse(converse(X0)))))))) ),[0,0],$fot(converse(top))]]) ).
cnf(refute_0_262,plain,
( converse(join(converse(X0),converse(complement(meet(top,converse(converse(X0))))))) != join(X0,converse(converse(complement(meet(top,converse(converse(X0)))))))
| converse(converse(top)) = join(X0,converse(converse(complement(meet(top,converse(converse(X0))))))) ),
inference(resolve,[$cnf( $equal(join(converse(X0),converse(complement(meet(top,converse(converse(X0)))))),converse(top)) )],[refute_0_260,refute_0_261]) ).
cnf(refute_0_263,plain,
converse(converse(top)) = join(X0,converse(converse(complement(meet(top,converse(converse(X0))))))),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),converse(complement(meet(top,converse(converse(X0))))))),join(X0,converse(converse(complement(meet(top,converse(converse(X0)))))))) )],[refute_0_89,refute_0_262]) ).
cnf(refute_0_264,plain,
converse(converse(top)) = top,
inference(subst,[],[refute_0_85:[bind(X0,$fot(top))]]) ).
cnf(refute_0_265,plain,
( converse(converse(top)) != join(X0,converse(converse(complement(meet(top,converse(converse(X0)))))))
| converse(converse(top)) != top
| top = join(X0,converse(converse(complement(meet(top,converse(converse(X0))))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(top)),join(X0,converse(converse(complement(meet(top,converse(converse(X0)))))))) ),[0],$fot(top)]]) ).
cnf(refute_0_266,plain,
( converse(converse(top)) != join(X0,converse(converse(complement(meet(top,converse(converse(X0)))))))
| top = join(X0,converse(converse(complement(meet(top,converse(converse(X0))))))) ),
inference(resolve,[$cnf( $equal(converse(converse(top)),top) )],[refute_0_264,refute_0_265]) ).
cnf(refute_0_267,plain,
meet(top,converse(converse(X0))) = meet(top,converse(converse(X0))),
introduced(tautology,[refl,[$fot(meet(top,converse(converse(X0))))]]) ).
cnf(refute_0_268,plain,
( converse(converse(X0)) != X0
| meet(top,converse(converse(X0))) != meet(top,converse(converse(X0)))
| meet(top,converse(converse(X0))) = meet(top,X0) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,converse(converse(X0))),meet(top,converse(converse(X0)))) ),[1,1],$fot(X0)]]) ).
cnf(refute_0_269,plain,
( converse(converse(X0)) != X0
| meet(top,converse(converse(X0))) = meet(top,X0) ),
inference(resolve,[$cnf( $equal(meet(top,converse(converse(X0))),meet(top,converse(converse(X0)))) )],[refute_0_267,refute_0_268]) ).
cnf(refute_0_270,plain,
meet(top,converse(converse(X0))) = meet(top,X0),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_0_85,refute_0_269]) ).
cnf(refute_0_271,plain,
complement(meet(top,converse(converse(X0)))) = complement(meet(top,converse(converse(X0)))),
introduced(tautology,[refl,[$fot(complement(meet(top,converse(converse(X0)))))]]) ).
cnf(refute_0_272,plain,
( complement(meet(top,converse(converse(X0)))) != complement(meet(top,converse(converse(X0))))
| meet(top,converse(converse(X0))) != meet(top,X0)
| complement(meet(top,converse(converse(X0)))) = complement(meet(top,X0)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(top,converse(converse(X0)))),complement(meet(top,converse(converse(X0))))) ),[1,0],$fot(meet(top,X0))]]) ).
cnf(refute_0_273,plain,
( meet(top,converse(converse(X0))) != meet(top,X0)
| complement(meet(top,converse(converse(X0)))) = complement(meet(top,X0)) ),
inference(resolve,[$cnf( $equal(complement(meet(top,converse(converse(X0)))),complement(meet(top,converse(converse(X0))))) )],[refute_0_271,refute_0_272]) ).
cnf(refute_0_274,plain,
complement(meet(top,converse(converse(X0)))) = complement(meet(top,X0)),
inference(resolve,[$cnf( $equal(meet(top,converse(converse(X0))),meet(top,X0)) )],[refute_0_270,refute_0_273]) ).
cnf(refute_0_275,plain,
converse(converse(complement(meet(top,converse(converse(X0)))))) = complement(meet(top,converse(converse(X0)))),
inference(subst,[],[refute_0_85:[bind(X0,$fot(complement(meet(top,converse(converse(X0))))))]]) ).
cnf(refute_0_276,plain,
( complement(meet(top,converse(converse(X0)))) != complement(meet(top,X0))
| converse(converse(complement(meet(top,converse(converse(X0)))))) != complement(meet(top,converse(converse(X0))))
| converse(converse(complement(meet(top,converse(converse(X0)))))) = complement(meet(top,X0)) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(converse(converse(complement(meet(top,converse(converse(X0)))))))),bind(Y,$fot(complement(meet(top,converse(converse(X0)))))),bind(Z,$fot(complement(meet(top,X0))))]]) ).
cnf(refute_0_277,plain,
( complement(meet(top,converse(converse(X0)))) != complement(meet(top,X0))
| converse(converse(complement(meet(top,converse(converse(X0)))))) = complement(meet(top,X0)) ),
inference(resolve,[$cnf( $equal(converse(converse(complement(meet(top,converse(converse(X0)))))),complement(meet(top,converse(converse(X0))))) )],[refute_0_275,refute_0_276]) ).
cnf(refute_0_278,plain,
converse(converse(complement(meet(top,converse(converse(X0)))))) = complement(meet(top,X0)),
inference(resolve,[$cnf( $equal(complement(meet(top,converse(converse(X0)))),complement(meet(top,X0))) )],[refute_0_274,refute_0_277]) ).
cnf(refute_0_279,plain,
join(X0,converse(converse(complement(meet(top,converse(converse(X0))))))) = join(X0,converse(converse(complement(meet(top,converse(converse(X0))))))),
introduced(tautology,[refl,[$fot(join(X0,converse(converse(complement(meet(top,converse(converse(X0))))))))]]) ).
cnf(refute_0_280,plain,
( converse(converse(complement(meet(top,converse(converse(X0)))))) != complement(meet(top,X0))
| join(X0,converse(converse(complement(meet(top,converse(converse(X0))))))) != join(X0,converse(converse(complement(meet(top,converse(converse(X0)))))))
| join(X0,converse(converse(complement(meet(top,converse(converse(X0))))))) = join(X0,complement(meet(top,X0))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X0,converse(converse(complement(meet(top,converse(converse(X0))))))),join(X0,converse(converse(complement(meet(top,converse(converse(X0)))))))) ),[1,1],$fot(complement(meet(top,X0)))]]) ).
cnf(refute_0_281,plain,
( converse(converse(complement(meet(top,converse(converse(X0)))))) != complement(meet(top,X0))
| join(X0,converse(converse(complement(meet(top,converse(converse(X0))))))) = join(X0,complement(meet(top,X0))) ),
inference(resolve,[$cnf( $equal(join(X0,converse(converse(complement(meet(top,converse(converse(X0))))))),join(X0,converse(converse(complement(meet(top,converse(converse(X0)))))))) )],[refute_0_279,refute_0_280]) ).
cnf(refute_0_282,plain,
join(X0,converse(converse(complement(meet(top,converse(converse(X0))))))) = join(X0,complement(meet(top,X0))),
inference(resolve,[$cnf( $equal(converse(converse(complement(meet(top,converse(converse(X0)))))),complement(meet(top,X0))) )],[refute_0_278,refute_0_281]) ).
cnf(refute_0_283,plain,
( join(X0,converse(converse(complement(meet(top,converse(converse(X0))))))) != join(X0,complement(meet(top,X0)))
| top != join(X0,converse(converse(complement(meet(top,converse(converse(X0)))))))
| top = join(X0,complement(meet(top,X0))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(X0,converse(converse(complement(meet(top,converse(converse(X0)))))))) ),[1],$fot(join(X0,complement(meet(top,X0))))]]) ).
cnf(refute_0_284,plain,
( top != join(X0,converse(converse(complement(meet(top,converse(converse(X0)))))))
| top = join(X0,complement(meet(top,X0))) ),
inference(resolve,[$cnf( $equal(join(X0,converse(converse(complement(meet(top,converse(converse(X0))))))),join(X0,complement(meet(top,X0)))) )],[refute_0_282,refute_0_283]) ).
cnf(refute_0_285,plain,
( converse(converse(top)) != join(X0,converse(converse(complement(meet(top,converse(converse(X0)))))))
| top = join(X0,complement(meet(top,X0))) ),
inference(resolve,[$cnf( $equal(top,join(X0,converse(converse(complement(meet(top,converse(converse(X0)))))))) )],[refute_0_266,refute_0_284]) ).
cnf(refute_0_286,plain,
top = join(X0,complement(meet(top,X0))),
inference(resolve,[$cnf( $equal(converse(converse(top)),join(X0,converse(converse(complement(meet(top,converse(converse(X0)))))))) )],[refute_0_263,refute_0_285]) ).
cnf(refute_0_287,plain,
top = join(join(X_58,complement(complement(X_58))),complement(meet(top,join(X_58,complement(complement(X_58)))))),
inference(subst,[],[refute_0_286:[bind(X0,$fot(join(X_58,complement(complement(X_58)))))]]) ).
cnf(refute_0_288,plain,
join(zero,complement(X1)) = join(zero,meet(join(zero,complement(X1)),complement(complement(join(zero,complement(X1)))))),
inference(subst,[],[refute_0_173:[bind(X_32,$fot(join(zero,complement(X1))))]]) ).
cnf(refute_0_289,plain,
meet(top,X1) = complement(join(complement(top),complement(X1))),
inference(subst,[],[refute_0_12:[bind(X0,$fot(top))]]) ).
cnf(refute_0_290,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_291,plain,
( meet(top,X1) != complement(join(complement(top),complement(X1)))
| meet(top,X1) = complement(join(zero,complement(X1))) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_162,refute_0_290]) ).
cnf(refute_0_292,plain,
meet(top,X1) = complement(join(zero,complement(X1))),
inference(resolve,[$cnf( $equal(meet(top,X1),complement(join(complement(top),complement(X1)))) )],[refute_0_289,refute_0_291]) ).
cnf(refute_0_293,plain,
( meet(top,X1) != complement(join(zero,complement(X1)))
| complement(join(zero,complement(X1))) = meet(top,X1) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(meet(top,X1))),bind(Y,$fot(complement(join(zero,complement(X1)))))]]) ).
cnf(refute_0_294,plain,
complement(join(zero,complement(X1))) = meet(top,X1),
inference(resolve,[$cnf( $equal(meet(top,X1),complement(join(zero,complement(X1)))) )],[refute_0_292,refute_0_293]) ).
cnf(refute_0_295,plain,
( complement(join(zero,complement(X1))) != meet(top,X1)
| join(zero,complement(X1)) != join(zero,meet(join(zero,complement(X1)),complement(complement(join(zero,complement(X1))))))
| join(zero,complement(X1)) = join(zero,meet(join(zero,complement(X1)),complement(meet(top,X1)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,complement(X1)),join(zero,meet(join(zero,complement(X1)),complement(complement(join(zero,complement(X1))))))) ),[1,1,1,0],$fot(meet(top,X1))]]) ).
cnf(refute_0_296,plain,
( join(zero,complement(X1)) != join(zero,meet(join(zero,complement(X1)),complement(complement(join(zero,complement(X1))))))
| join(zero,complement(X1)) = join(zero,meet(join(zero,complement(X1)),complement(meet(top,X1)))) ),
inference(resolve,[$cnf( $equal(complement(join(zero,complement(X1))),meet(top,X1)) )],[refute_0_294,refute_0_295]) ).
cnf(refute_0_297,plain,
join(zero,complement(X1)) = join(zero,meet(join(zero,complement(X1)),complement(meet(top,X1)))),
inference(resolve,[$cnf( $equal(join(zero,complement(X1)),join(zero,meet(join(zero,complement(X1)),complement(complement(join(zero,complement(X1))))))) )],[refute_0_288,refute_0_296]) ).
cnf(refute_0_298,plain,
meet(join(zero,complement(X1)),complement(meet(top,X1))) = meet(complement(meet(top,X1)),join(zero,complement(X1))),
inference(subst,[],[refute_0_189:[bind(X_11,$fot(complement(meet(top,X1)))),bind(X_12,$fot(join(zero,complement(X1))))]]) ).
cnf(refute_0_299,plain,
join(zero,meet(join(zero,complement(X1)),complement(meet(top,X1)))) = join(zero,meet(join(zero,complement(X1)),complement(meet(top,X1)))),
introduced(tautology,[refl,[$fot(join(zero,meet(join(zero,complement(X1)),complement(meet(top,X1)))))]]) ).
cnf(refute_0_300,plain,
( join(zero,meet(join(zero,complement(X1)),complement(meet(top,X1)))) != join(zero,meet(join(zero,complement(X1)),complement(meet(top,X1))))
| meet(join(zero,complement(X1)),complement(meet(top,X1))) != meet(complement(meet(top,X1)),join(zero,complement(X1)))
| join(zero,meet(join(zero,complement(X1)),complement(meet(top,X1)))) = join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(join(zero,complement(X1)),complement(meet(top,X1)))),join(zero,meet(join(zero,complement(X1)),complement(meet(top,X1))))) ),[1,1],$fot(meet(complement(meet(top,X1)),join(zero,complement(X1))))]]) ).
cnf(refute_0_301,plain,
( meet(join(zero,complement(X1)),complement(meet(top,X1))) != meet(complement(meet(top,X1)),join(zero,complement(X1)))
| join(zero,meet(join(zero,complement(X1)),complement(meet(top,X1)))) = join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1)))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(join(zero,complement(X1)),complement(meet(top,X1)))),join(zero,meet(join(zero,complement(X1)),complement(meet(top,X1))))) )],[refute_0_299,refute_0_300]) ).
cnf(refute_0_302,plain,
join(zero,meet(join(zero,complement(X1)),complement(meet(top,X1)))) = join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1)))),
inference(resolve,[$cnf( $equal(meet(join(zero,complement(X1)),complement(meet(top,X1))),meet(complement(meet(top,X1)),join(zero,complement(X1)))) )],[refute_0_298,refute_0_301]) ).
cnf(refute_0_303,plain,
( join(zero,complement(X1)) != join(zero,meet(join(zero,complement(X1)),complement(meet(top,X1))))
| join(zero,meet(join(zero,complement(X1)),complement(meet(top,X1)))) != join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1))))
| join(zero,complement(X1)) = join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(zero,complement(X1)),join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1))))) ),[0],$fot(join(zero,meet(join(zero,complement(X1)),complement(meet(top,X1)))))]]) ).
cnf(refute_0_304,plain,
( join(zero,complement(X1)) != join(zero,meet(join(zero,complement(X1)),complement(meet(top,X1))))
| join(zero,complement(X1)) = join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1)))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(join(zero,complement(X1)),complement(meet(top,X1)))),join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1))))) )],[refute_0_302,refute_0_303]) ).
cnf(refute_0_305,plain,
join(zero,complement(X1)) = join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1)))),
inference(resolve,[$cnf( $equal(join(zero,complement(X1)),join(zero,meet(join(zero,complement(X1)),complement(meet(top,X1))))) )],[refute_0_297,refute_0_304]) ).
cnf(refute_0_306,plain,
X_32 = join(meet(X_32,complement(X_32)),complement(join(complement(X_32),complement(X_32)))),
inference(subst,[],[refute_0_26:[bind(X0,$fot(X_32)),bind(X1,$fot(complement(X_32)))]]) ).
cnf(refute_0_307,plain,
zero = meet(X_32,complement(X_32)),
inference(subst,[],[refute_0_136:[bind(X0,$fot(X_32))]]) ).
cnf(refute_0_308,plain,
( zero != meet(X_32,complement(X_32))
| meet(X_32,complement(X_32)) = zero ),
inference(subst,[],[refute_0_4:[bind(X,$fot(zero)),bind(Y,$fot(meet(X_32,complement(X_32))))]]) ).
cnf(refute_0_309,plain,
meet(X_32,complement(X_32)) = zero,
inference(resolve,[$cnf( $equal(zero,meet(X_32,complement(X_32))) )],[refute_0_307,refute_0_308]) ).
cnf(refute_0_310,plain,
( X_32 != join(meet(X_32,complement(X_32)),complement(join(complement(X_32),complement(X_32))))
| meet(X_32,complement(X_32)) != zero
| X_32 = join(zero,complement(join(complement(X_32),complement(X_32)))) ),
introduced(tautology,[equality,[$cnf( $equal(X_32,join(meet(X_32,complement(X_32)),complement(join(complement(X_32),complement(X_32))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_311,plain,
( X_32 != join(meet(X_32,complement(X_32)),complement(join(complement(X_32),complement(X_32))))
| X_32 = join(zero,complement(join(complement(X_32),complement(X_32)))) ),
inference(resolve,[$cnf( $equal(meet(X_32,complement(X_32)),zero) )],[refute_0_309,refute_0_310]) ).
cnf(refute_0_312,plain,
X_32 = join(zero,complement(join(complement(X_32),complement(X_32)))),
inference(resolve,[$cnf( $equal(X_32,join(meet(X_32,complement(X_32)),complement(join(complement(X_32),complement(X_32))))) )],[refute_0_306,refute_0_311]) ).
cnf(refute_0_313,plain,
complement(join(complement(X_32),complement(X_32))) = meet(X_32,X_32),
inference(subst,[],[refute_0_14:[bind(X0,$fot(X_32)),bind(X1,$fot(X_32))]]) ).
cnf(refute_0_314,plain,
join(zero,complement(join(complement(X_32),complement(X_32)))) = join(zero,complement(join(complement(X_32),complement(X_32)))),
introduced(tautology,[refl,[$fot(join(zero,complement(join(complement(X_32),complement(X_32)))))]]) ).
cnf(refute_0_315,plain,
( complement(join(complement(X_32),complement(X_32))) != meet(X_32,X_32)
| join(zero,complement(join(complement(X_32),complement(X_32)))) != join(zero,complement(join(complement(X_32),complement(X_32))))
| join(zero,complement(join(complement(X_32),complement(X_32)))) = join(zero,meet(X_32,X_32)) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,complement(join(complement(X_32),complement(X_32)))),join(zero,complement(join(complement(X_32),complement(X_32))))) ),[1,1],$fot(meet(X_32,X_32))]]) ).
cnf(refute_0_316,plain,
( complement(join(complement(X_32),complement(X_32))) != meet(X_32,X_32)
| join(zero,complement(join(complement(X_32),complement(X_32)))) = join(zero,meet(X_32,X_32)) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(complement(X_32),complement(X_32)))),join(zero,complement(join(complement(X_32),complement(X_32))))) )],[refute_0_314,refute_0_315]) ).
cnf(refute_0_317,plain,
join(zero,complement(join(complement(X_32),complement(X_32)))) = join(zero,meet(X_32,X_32)),
inference(resolve,[$cnf( $equal(complement(join(complement(X_32),complement(X_32))),meet(X_32,X_32)) )],[refute_0_313,refute_0_316]) ).
cnf(refute_0_318,plain,
( X_32 != join(zero,complement(join(complement(X_32),complement(X_32))))
| join(zero,complement(join(complement(X_32),complement(X_32)))) != join(zero,meet(X_32,X_32))
| X_32 = join(zero,meet(X_32,X_32)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_32,join(zero,meet(X_32,X_32))) ),[0],$fot(join(zero,complement(join(complement(X_32),complement(X_32)))))]]) ).
cnf(refute_0_319,plain,
( X_32 != join(zero,complement(join(complement(X_32),complement(X_32))))
| X_32 = join(zero,meet(X_32,X_32)) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(complement(X_32),complement(X_32)))),join(zero,meet(X_32,X_32))) )],[refute_0_317,refute_0_318]) ).
cnf(refute_0_320,plain,
X_32 = join(zero,meet(X_32,X_32)),
inference(resolve,[$cnf( $equal(X_32,join(zero,complement(join(complement(X_32),complement(X_32))))) )],[refute_0_312,refute_0_319]) ).
cnf(refute_0_321,plain,
( X_32 != join(zero,meet(X_32,X_32))
| join(zero,meet(X_32,X_32)) = X_32 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(X_32)),bind(Y,$fot(join(zero,meet(X_32,X_32))))]]) ).
cnf(refute_0_322,plain,
join(zero,meet(X_32,X_32)) = X_32,
inference(resolve,[$cnf( $equal(X_32,join(zero,meet(X_32,X_32))) )],[refute_0_320,refute_0_321]) ).
cnf(refute_0_323,plain,
join(zero,meet(complement(meet(top,X1)),complement(meet(top,X1)))) = complement(meet(top,X1)),
inference(subst,[],[refute_0_322:[bind(X_32,$fot(complement(meet(top,X1))))]]) ).
cnf(refute_0_324,plain,
meet(X0,join(zero,complement(X_16))) = complement(join(complement(X0),complement(join(zero,complement(X_16))))),
inference(subst,[],[refute_0_12:[bind(X1,$fot(join(zero,complement(X_16))))]]) ).
cnf(refute_0_325,plain,
meet(top,X_16) = complement(join(zero,complement(X_16))),
inference(subst,[],[refute_0_292:[bind(X1,$fot(X_16))]]) ).
cnf(refute_0_326,plain,
( meet(top,X_16) != complement(join(zero,complement(X_16)))
| complement(join(zero,complement(X_16))) = meet(top,X_16) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(meet(top,X_16))),bind(Y,$fot(complement(join(zero,complement(X_16)))))]]) ).
cnf(refute_0_327,plain,
complement(join(zero,complement(X_16))) = meet(top,X_16),
inference(resolve,[$cnf( $equal(meet(top,X_16),complement(join(zero,complement(X_16)))) )],[refute_0_325,refute_0_326]) ).
cnf(refute_0_328,plain,
( complement(join(zero,complement(X_16))) != meet(top,X_16)
| meet(X0,join(zero,complement(X_16))) != complement(join(complement(X0),complement(join(zero,complement(X_16)))))
| meet(X0,join(zero,complement(X_16))) = complement(join(complement(X0),meet(top,X_16))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X0,join(zero,complement(X_16))),complement(join(complement(X0),complement(join(zero,complement(X_16)))))) ),[1,0,1],$fot(meet(top,X_16))]]) ).
cnf(refute_0_329,plain,
( meet(X0,join(zero,complement(X_16))) != complement(join(complement(X0),complement(join(zero,complement(X_16)))))
| meet(X0,join(zero,complement(X_16))) = complement(join(complement(X0),meet(top,X_16))) ),
inference(resolve,[$cnf( $equal(complement(join(zero,complement(X_16))),meet(top,X_16)) )],[refute_0_327,refute_0_328]) ).
cnf(refute_0_330,plain,
meet(X0,join(zero,complement(X_16))) = complement(join(complement(X0),meet(top,X_16))),
inference(resolve,[$cnf( $equal(meet(X0,join(zero,complement(X_16))),complement(join(complement(X0),complement(join(zero,complement(X_16)))))) )],[refute_0_324,refute_0_329]) ).
cnf(refute_0_331,plain,
join(complement(X_11),complement(X_12)) = complement(meet(X_11,X_12)),
inference(subst,[],[refute_0_228:[bind(X0,$fot(X_11)),bind(X1,$fot(X_12))]]) ).
cnf(refute_0_332,plain,
meet(X0,join(complement(X_11),complement(X_12))) = meet(X0,join(complement(X_11),complement(X_12))),
introduced(tautology,[refl,[$fot(meet(X0,join(complement(X_11),complement(X_12))))]]) ).
cnf(refute_0_333,plain,
( join(complement(X_11),complement(X_12)) != complement(meet(X_11,X_12))
| meet(X0,join(complement(X_11),complement(X_12))) != meet(X0,join(complement(X_11),complement(X_12)))
| meet(X0,join(complement(X_11),complement(X_12))) = meet(X0,complement(meet(X_11,X_12))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X0,join(complement(X_11),complement(X_12))),meet(X0,join(complement(X_11),complement(X_12)))) ),[1,1],$fot(complement(meet(X_11,X_12)))]]) ).
cnf(refute_0_334,plain,
( join(complement(X_11),complement(X_12)) != complement(meet(X_11,X_12))
| meet(X0,join(complement(X_11),complement(X_12))) = meet(X0,complement(meet(X_11,X_12))) ),
inference(resolve,[$cnf( $equal(meet(X0,join(complement(X_11),complement(X_12))),meet(X0,join(complement(X_11),complement(X_12)))) )],[refute_0_332,refute_0_333]) ).
cnf(refute_0_335,plain,
meet(X0,join(complement(X_11),complement(X_12))) = meet(X0,complement(meet(X_11,X_12))),
inference(resolve,[$cnf( $equal(join(complement(X_11),complement(X_12)),complement(meet(X_11,X_12))) )],[refute_0_331,refute_0_334]) ).
cnf(refute_0_336,plain,
( meet(X0,join(complement(X_11),complement(X_12))) != complement(join(complement(X0),meet(X_11,X_12)))
| meet(X0,join(complement(X_11),complement(X_12))) != meet(X0,complement(meet(X_11,X_12)))
| meet(X0,complement(meet(X_11,X_12))) = complement(join(complement(X0),meet(X_11,X_12))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X0,join(complement(X_11),complement(X_12))),complement(join(complement(X0),meet(X_11,X_12)))) ),[0],$fot(meet(X0,complement(meet(X_11,X_12))))]]) ).
cnf(refute_0_337,plain,
( meet(X0,join(complement(X_11),complement(X_12))) != complement(join(complement(X0),meet(X_11,X_12)))
| meet(X0,complement(meet(X_11,X_12))) = complement(join(complement(X0),meet(X_11,X_12))) ),
inference(resolve,[$cnf( $equal(meet(X0,join(complement(X_11),complement(X_12))),meet(X0,complement(meet(X_11,X_12)))) )],[refute_0_335,refute_0_336]) ).
cnf(refute_0_338,plain,
meet(X0,complement(meet(X_11,X_12))) = complement(join(complement(X0),meet(X_11,X_12))),
inference(resolve,[$cnf( $equal(meet(X0,join(complement(X_11),complement(X_12))),complement(join(complement(X0),meet(X_11,X_12)))) )],[refute_0_186,refute_0_337]) ).
cnf(refute_0_339,plain,
( meet(X0,complement(meet(X_11,X_12))) != complement(join(complement(X0),meet(X_11,X_12)))
| complement(join(complement(X0),meet(X_11,X_12))) = meet(X0,complement(meet(X_11,X_12))) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(meet(X0,complement(meet(X_11,X_12))))),bind(Y,$fot(complement(join(complement(X0),meet(X_11,X_12)))))]]) ).
cnf(refute_0_340,plain,
complement(join(complement(X0),meet(X_11,X_12))) = meet(X0,complement(meet(X_11,X_12))),
inference(resolve,[$cnf( $equal(meet(X0,complement(meet(X_11,X_12))),complement(join(complement(X0),meet(X_11,X_12)))) )],[refute_0_338,refute_0_339]) ).
cnf(refute_0_341,plain,
complement(join(complement(X0),meet(top,X_16))) = meet(X0,complement(meet(top,X_16))),
inference(subst,[],[refute_0_340:[bind(X_11,$fot(top)),bind(X_12,$fot(X_16))]]) ).
cnf(refute_0_342,plain,
( complement(join(complement(X0),meet(top,X_16))) != meet(X0,complement(meet(top,X_16)))
| meet(X0,join(zero,complement(X_16))) != complement(join(complement(X0),meet(top,X_16)))
| meet(X0,join(zero,complement(X_16))) = meet(X0,complement(meet(top,X_16))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X0,join(zero,complement(X_16))),complement(join(complement(X0),meet(top,X_16)))) ),[1],$fot(meet(X0,complement(meet(top,X_16))))]]) ).
cnf(refute_0_343,plain,
( meet(X0,join(zero,complement(X_16))) != complement(join(complement(X0),meet(top,X_16)))
| meet(X0,join(zero,complement(X_16))) = meet(X0,complement(meet(top,X_16))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X0),meet(top,X_16))),meet(X0,complement(meet(top,X_16)))) )],[refute_0_341,refute_0_342]) ).
cnf(refute_0_344,plain,
meet(X0,join(zero,complement(X_16))) = meet(X0,complement(meet(top,X_16))),
inference(resolve,[$cnf( $equal(meet(X0,join(zero,complement(X_16))),complement(join(complement(X0),meet(top,X_16)))) )],[refute_0_330,refute_0_343]) ).
cnf(refute_0_345,plain,
meet(complement(meet(top,X1)),join(zero,complement(X1))) = meet(complement(meet(top,X1)),complement(meet(top,X1))),
inference(subst,[],[refute_0_344:[bind(X0,$fot(complement(meet(top,X1)))),bind(X_16,$fot(X1))]]) ).
cnf(refute_0_346,plain,
join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1)))) = join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1)))),
introduced(tautology,[refl,[$fot(join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1)))))]]) ).
cnf(refute_0_347,plain,
( join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1)))) != join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1))))
| meet(complement(meet(top,X1)),join(zero,complement(X1))) != meet(complement(meet(top,X1)),complement(meet(top,X1)))
| join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1)))) = join(zero,meet(complement(meet(top,X1)),complement(meet(top,X1)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1)))),join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1))))) ),[1,1],$fot(meet(complement(meet(top,X1)),complement(meet(top,X1))))]]) ).
cnf(refute_0_348,plain,
( meet(complement(meet(top,X1)),join(zero,complement(X1))) != meet(complement(meet(top,X1)),complement(meet(top,X1)))
| join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1)))) = join(zero,meet(complement(meet(top,X1)),complement(meet(top,X1)))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1)))),join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1))))) )],[refute_0_346,refute_0_347]) ).
cnf(refute_0_349,plain,
join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1)))) = join(zero,meet(complement(meet(top,X1)),complement(meet(top,X1)))),
inference(resolve,[$cnf( $equal(meet(complement(meet(top,X1)),join(zero,complement(X1))),meet(complement(meet(top,X1)),complement(meet(top,X1)))) )],[refute_0_345,refute_0_348]) ).
cnf(refute_0_350,plain,
( join(zero,meet(complement(meet(top,X1)),complement(meet(top,X1)))) != complement(meet(top,X1))
| join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1)))) != join(zero,meet(complement(meet(top,X1)),complement(meet(top,X1))))
| join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1)))) = complement(meet(top,X1)) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1)))))),bind(Y,$fot(join(zero,meet(complement(meet(top,X1)),complement(meet(top,X1)))))),bind(Z,$fot(complement(meet(top,X1))))]]) ).
cnf(refute_0_351,plain,
( join(zero,meet(complement(meet(top,X1)),complement(meet(top,X1)))) != complement(meet(top,X1))
| join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1)))) = complement(meet(top,X1)) ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1)))),join(zero,meet(complement(meet(top,X1)),complement(meet(top,X1))))) )],[refute_0_349,refute_0_350]) ).
cnf(refute_0_352,plain,
join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1)))) = complement(meet(top,X1)),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(meet(top,X1)),complement(meet(top,X1)))),complement(meet(top,X1))) )],[refute_0_323,refute_0_351]) ).
cnf(refute_0_353,plain,
( join(zero,complement(X1)) != join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1))))
| join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1)))) != complement(meet(top,X1))
| join(zero,complement(X1)) = complement(meet(top,X1)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(zero,complement(X1)),complement(meet(top,X1))) ),[0],$fot(join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1)))))]]) ).
cnf(refute_0_354,plain,
( join(zero,complement(X1)) != join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1))))
| join(zero,complement(X1)) = complement(meet(top,X1)) ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1)))),complement(meet(top,X1))) )],[refute_0_352,refute_0_353]) ).
cnf(refute_0_355,plain,
join(zero,complement(X1)) = complement(meet(top,X1)),
inference(resolve,[$cnf( $equal(join(zero,complement(X1)),join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1))))) )],[refute_0_305,refute_0_354]) ).
cnf(refute_0_356,plain,
join(zero,complement(join(X_58,complement(complement(X_58))))) = complement(meet(top,join(X_58,complement(complement(X_58))))),
inference(subst,[],[refute_0_355:[bind(X1,$fot(join(X_58,complement(complement(X_58)))))]]) ).
cnf(refute_0_357,plain,
( complement(X_58) != join(zero,complement(join(X_58,complement(complement(X_58)))))
| join(zero,complement(join(X_58,complement(complement(X_58))))) != complement(meet(top,join(X_58,complement(complement(X_58)))))
| complement(X_58) = complement(meet(top,join(X_58,complement(complement(X_58))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(X_58),complement(meet(top,join(X_58,complement(complement(X_58)))))) ),[0],$fot(join(zero,complement(join(X_58,complement(complement(X_58))))))]]) ).
cnf(refute_0_358,plain,
( complement(X_58) != join(zero,complement(join(X_58,complement(complement(X_58)))))
| complement(X_58) = complement(meet(top,join(X_58,complement(complement(X_58))))) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(X_58,complement(complement(X_58))))),complement(meet(top,join(X_58,complement(complement(X_58)))))) )],[refute_0_356,refute_0_357]) ).
cnf(refute_0_359,plain,
complement(X_58) = complement(meet(top,join(X_58,complement(complement(X_58))))),
inference(resolve,[$cnf( $equal(complement(X_58),join(zero,complement(join(X_58,complement(complement(X_58)))))) )],[refute_0_222,refute_0_358]) ).
cnf(refute_0_360,plain,
( complement(X_58) != complement(meet(top,join(X_58,complement(complement(X_58)))))
| complement(meet(top,join(X_58,complement(complement(X_58))))) = complement(X_58) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(complement(X_58))),bind(Y,$fot(complement(meet(top,join(X_58,complement(complement(X_58)))))))]]) ).
cnf(refute_0_361,plain,
complement(meet(top,join(X_58,complement(complement(X_58))))) = complement(X_58),
inference(resolve,[$cnf( $equal(complement(X_58),complement(meet(top,join(X_58,complement(complement(X_58)))))) )],[refute_0_359,refute_0_360]) ).
cnf(refute_0_362,plain,
( complement(meet(top,join(X_58,complement(complement(X_58))))) != complement(X_58)
| top != join(join(X_58,complement(complement(X_58))),complement(meet(top,join(X_58,complement(complement(X_58))))))
| top = join(join(X_58,complement(complement(X_58))),complement(X_58)) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(join(X_58,complement(complement(X_58))),complement(meet(top,join(X_58,complement(complement(X_58))))))) ),[1,1],$fot(complement(X_58))]]) ).
cnf(refute_0_363,plain,
( top != join(join(X_58,complement(complement(X_58))),complement(meet(top,join(X_58,complement(complement(X_58))))))
| top = join(join(X_58,complement(complement(X_58))),complement(X_58)) ),
inference(resolve,[$cnf( $equal(complement(meet(top,join(X_58,complement(complement(X_58))))),complement(X_58)) )],[refute_0_361,refute_0_362]) ).
cnf(refute_0_364,plain,
top = join(join(X_58,complement(complement(X_58))),complement(X_58)),
inference(resolve,[$cnf( $equal(top,join(join(X_58,complement(complement(X_58))),complement(meet(top,join(X_58,complement(complement(X_58))))))) )],[refute_0_287,refute_0_363]) ).
cnf(refute_0_365,plain,
X_43 = join(meet(X_43,top),meet(X_43,complement(top))),
inference(subst,[],[refute_0_47:[bind(X1,$fot(top)),bind(X_32,$fot(X_43))]]) ).
cnf(refute_0_366,plain,
( X_43 != join(meet(X_43,top),meet(X_43,complement(top)))
| complement(top) != zero
| X_43 = join(meet(X_43,top),meet(X_43,zero)) ),
introduced(tautology,[equality,[$cnf( $equal(X_43,join(meet(X_43,top),meet(X_43,complement(top)))) ),[1,1,1],$fot(zero)]]) ).
cnf(refute_0_367,plain,
( X_43 != join(meet(X_43,top),meet(X_43,complement(top)))
| X_43 = join(meet(X_43,top),meet(X_43,zero)) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_162,refute_0_366]) ).
cnf(refute_0_368,plain,
X_43 = join(meet(X_43,top),meet(X_43,zero)),
inference(resolve,[$cnf( $equal(X_43,join(meet(X_43,top),meet(X_43,complement(top)))) )],[refute_0_365,refute_0_367]) ).
cnf(refute_0_369,plain,
X_44 = join(meet(X_44,top),meet(X_44,zero)),
inference(subst,[],[refute_0_368:[bind(X_43,$fot(X_44))]]) ).
cnf(refute_0_370,plain,
meet(zero,X_44) = meet(X_44,zero),
inference(subst,[],[refute_0_59:[bind(X_11,$fot(zero)),bind(X_12,$fot(X_44))]]) ).
cnf(refute_0_371,plain,
( meet(zero,X_44) != meet(X_44,zero)
| meet(X_44,zero) = meet(zero,X_44) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(meet(zero,X_44))),bind(Y,$fot(meet(X_44,zero)))]]) ).
cnf(refute_0_372,plain,
meet(X_44,zero) = meet(zero,X_44),
inference(resolve,[$cnf( $equal(meet(zero,X_44),meet(X_44,zero)) )],[refute_0_370,refute_0_371]) ).
cnf(refute_0_373,plain,
( X_44 != join(meet(X_44,top),meet(X_44,zero))
| meet(X_44,zero) != meet(zero,X_44)
| X_44 = join(meet(X_44,top),meet(zero,X_44)) ),
introduced(tautology,[equality,[$cnf( $equal(X_44,join(meet(X_44,top),meet(X_44,zero))) ),[1,1],$fot(meet(zero,X_44))]]) ).
cnf(refute_0_374,plain,
( X_44 != join(meet(X_44,top),meet(X_44,zero))
| X_44 = join(meet(X_44,top),meet(zero,X_44)) ),
inference(resolve,[$cnf( $equal(meet(X_44,zero),meet(zero,X_44)) )],[refute_0_372,refute_0_373]) ).
cnf(refute_0_375,plain,
X_44 = join(meet(X_44,top),meet(zero,X_44)),
inference(resolve,[$cnf( $equal(X_44,join(meet(X_44,top),meet(X_44,zero))) )],[refute_0_369,refute_0_374]) ).
cnf(refute_0_376,plain,
complement(zero) = join(meet(complement(zero),top),meet(zero,complement(zero))),
inference(subst,[],[refute_0_375:[bind(X_44,$fot(complement(zero)))]]) ).
cnf(refute_0_377,plain,
zero = meet(zero,complement(zero)),
inference(subst,[],[refute_0_136:[bind(X0,$fot(zero))]]) ).
cnf(refute_0_378,plain,
( zero != meet(zero,complement(zero))
| meet(zero,complement(zero)) = zero ),
inference(subst,[],[refute_0_4:[bind(X,$fot(zero)),bind(Y,$fot(meet(zero,complement(zero))))]]) ).
cnf(refute_0_379,plain,
meet(zero,complement(zero)) = zero,
inference(resolve,[$cnf( $equal(zero,meet(zero,complement(zero))) )],[refute_0_377,refute_0_378]) ).
cnf(refute_0_380,plain,
( complement(zero) != join(meet(complement(zero),top),meet(zero,complement(zero)))
| meet(zero,complement(zero)) != zero
| complement(zero) = join(meet(complement(zero),top),zero) ),
introduced(tautology,[equality,[$cnf( $equal(complement(zero),join(meet(complement(zero),top),meet(zero,complement(zero)))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_381,plain,
( complement(zero) != join(meet(complement(zero),top),meet(zero,complement(zero)))
| complement(zero) = join(meet(complement(zero),top),zero) ),
inference(resolve,[$cnf( $equal(meet(zero,complement(zero)),zero) )],[refute_0_379,refute_0_380]) ).
cnf(refute_0_382,plain,
complement(zero) = join(meet(complement(zero),top),zero),
inference(resolve,[$cnf( $equal(complement(zero),join(meet(complement(zero),top),meet(zero,complement(zero)))) )],[refute_0_376,refute_0_381]) ).
cnf(refute_0_383,plain,
top = join(meet(top,X_33),complement(join(complement(top),X_33))),
inference(subst,[],[refute_0_26:[bind(X0,$fot(top)),bind(X1,$fot(X_33))]]) ).
cnf(refute_0_384,plain,
( complement(top) != zero
| top != join(meet(top,X_33),complement(join(complement(top),X_33)))
| top = join(meet(top,X_33),complement(join(zero,X_33))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(meet(top,X_33),complement(join(complement(top),X_33)))) ),[1,1,0,0],$fot(zero)]]) ).
cnf(refute_0_385,plain,
( top != join(meet(top,X_33),complement(join(complement(top),X_33)))
| top = join(meet(top,X_33),complement(join(zero,X_33))) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_162,refute_0_384]) ).
cnf(refute_0_386,plain,
top = join(meet(top,X_33),complement(join(zero,X_33))),
inference(resolve,[$cnf( $equal(top,join(meet(top,X_33),complement(join(complement(top),X_33)))) )],[refute_0_383,refute_0_385]) ).
cnf(refute_0_387,plain,
top = join(meet(top,complement(zero)),complement(join(zero,complement(zero)))),
inference(subst,[],[refute_0_386:[bind(X_33,$fot(complement(zero)))]]) ).
cnf(refute_0_388,plain,
top = join(zero,complement(zero)),
inference(subst,[],[refute_0_75:[bind(X0,$fot(zero))]]) ).
cnf(refute_0_389,plain,
( top != join(zero,complement(zero))
| join(zero,complement(zero)) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(zero,complement(zero))))]]) ).
cnf(refute_0_390,plain,
join(zero,complement(zero)) = top,
inference(resolve,[$cnf( $equal(top,join(zero,complement(zero))) )],[refute_0_388,refute_0_389]) ).
cnf(refute_0_391,plain,
( join(zero,complement(zero)) != top
| top != join(meet(top,complement(zero)),complement(join(zero,complement(zero))))
| top = join(meet(top,complement(zero)),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(meet(top,complement(zero)),complement(join(zero,complement(zero))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_0_392,plain,
( top != join(meet(top,complement(zero)),complement(join(zero,complement(zero))))
| top = join(meet(top,complement(zero)),complement(top)) ),
inference(resolve,[$cnf( $equal(join(zero,complement(zero)),top) )],[refute_0_390,refute_0_391]) ).
cnf(refute_0_393,plain,
top = join(meet(top,complement(zero)),complement(top)),
inference(resolve,[$cnf( $equal(top,join(meet(top,complement(zero)),complement(join(zero,complement(zero))))) )],[refute_0_387,refute_0_392]) ).
cnf(refute_0_394,plain,
join(complement(top),meet(top,complement(zero))) = join(complement(top),meet(top,complement(zero))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(top,complement(zero))))]]) ).
cnf(refute_0_395,plain,
( complement(top) != zero
| join(complement(top),meet(top,complement(zero))) != join(complement(top),meet(top,complement(zero)))
| join(complement(top),meet(top,complement(zero))) = join(zero,meet(top,complement(zero))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(top,complement(zero))),join(complement(top),meet(top,complement(zero)))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_396,plain,
( complement(top) != zero
| join(complement(top),meet(top,complement(zero))) = join(zero,meet(top,complement(zero))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(top,complement(zero))),join(complement(top),meet(top,complement(zero)))) )],[refute_0_394,refute_0_395]) ).
cnf(refute_0_397,plain,
join(complement(top),meet(top,complement(zero))) = join(zero,meet(top,complement(zero))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_162,refute_0_396]) ).
cnf(refute_0_398,plain,
join(meet(top,complement(zero)),complement(top)) = join(complement(top),meet(top,complement(zero))),
inference(subst,[],[refute_0_6:[bind(X0,$fot(complement(top))),bind(X1,$fot(meet(top,complement(zero))))]]) ).
cnf(refute_0_399,plain,
( join(complement(top),meet(top,complement(zero))) != join(zero,meet(top,complement(zero)))
| join(meet(top,complement(zero)),complement(top)) != join(complement(top),meet(top,complement(zero)))
| join(meet(top,complement(zero)),complement(top)) = join(zero,meet(top,complement(zero))) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(join(meet(top,complement(zero)),complement(top)))),bind(Y,$fot(join(complement(top),meet(top,complement(zero))))),bind(Z,$fot(join(zero,meet(top,complement(zero)))))]]) ).
cnf(refute_0_400,plain,
( join(complement(top),meet(top,complement(zero))) != join(zero,meet(top,complement(zero)))
| join(meet(top,complement(zero)),complement(top)) = join(zero,meet(top,complement(zero))) ),
inference(resolve,[$cnf( $equal(join(meet(top,complement(zero)),complement(top)),join(complement(top),meet(top,complement(zero)))) )],[refute_0_398,refute_0_399]) ).
cnf(refute_0_401,plain,
join(meet(top,complement(zero)),complement(top)) = join(zero,meet(top,complement(zero))),
inference(resolve,[$cnf( $equal(join(complement(top),meet(top,complement(zero))),join(zero,meet(top,complement(zero)))) )],[refute_0_397,refute_0_400]) ).
cnf(refute_0_402,plain,
( join(meet(top,complement(zero)),complement(top)) != join(zero,meet(top,complement(zero)))
| top != join(meet(top,complement(zero)),complement(top))
| top = join(zero,meet(top,complement(zero))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(meet(top,complement(zero)),complement(top))) ),[1],$fot(join(zero,meet(top,complement(zero))))]]) ).
cnf(refute_0_403,plain,
( top != join(meet(top,complement(zero)),complement(top))
| top = join(zero,meet(top,complement(zero))) ),
inference(resolve,[$cnf( $equal(join(meet(top,complement(zero)),complement(top)),join(zero,meet(top,complement(zero)))) )],[refute_0_401,refute_0_402]) ).
cnf(refute_0_404,plain,
top = join(zero,meet(top,complement(zero))),
inference(resolve,[$cnf( $equal(top,join(meet(top,complement(zero)),complement(top))) )],[refute_0_393,refute_0_403]) ).
cnf(refute_0_405,plain,
( top != join(zero,meet(top,complement(zero)))
| join(zero,meet(top,complement(zero))) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(zero,meet(top,complement(zero)))))]]) ).
cnf(refute_0_406,plain,
join(zero,meet(top,complement(zero))) = top,
inference(resolve,[$cnf( $equal(top,join(zero,meet(top,complement(zero)))) )],[refute_0_404,refute_0_405]) ).
cnf(refute_0_407,plain,
meet(X0,top) = complement(join(complement(X0),complement(top))),
inference(subst,[],[refute_0_12:[bind(X1,$fot(top))]]) ).
cnf(refute_0_408,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_409,plain,
( meet(X0,top) != complement(join(complement(X0),complement(top)))
| meet(X0,top) = complement(join(complement(X0),zero)) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_162,refute_0_408]) ).
cnf(refute_0_410,plain,
meet(X0,top) = complement(join(complement(X0),zero)),
inference(resolve,[$cnf( $equal(meet(X0,top),complement(join(complement(X0),complement(top)))) )],[refute_0_407,refute_0_409]) ).
cnf(refute_0_411,plain,
complement(join(zero,complement(X0))) = meet(top,X0),
inference(subst,[],[refute_0_294:[bind(X1,$fot(X0))]]) ).
cnf(refute_0_412,plain,
join(complement(X0),zero) = join(zero,complement(X0)),
inference(subst,[],[refute_0_6:[bind(X0,$fot(zero)),bind(X1,$fot(complement(X0)))]]) ).
cnf(refute_0_413,plain,
complement(join(complement(X0),zero)) = complement(join(complement(X0),zero)),
introduced(tautology,[refl,[$fot(complement(join(complement(X0),zero)))]]) ).
cnf(refute_0_414,plain,
( complement(join(complement(X0),zero)) != complement(join(complement(X0),zero))
| join(complement(X0),zero) != join(zero,complement(X0))
| complement(join(complement(X0),zero)) = complement(join(zero,complement(X0))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(X0),zero)),complement(join(complement(X0),zero))) ),[1,0],$fot(join(zero,complement(X0)))]]) ).
cnf(refute_0_415,plain,
( join(complement(X0),zero) != join(zero,complement(X0))
| complement(join(complement(X0),zero)) = complement(join(zero,complement(X0))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X0),zero)),complement(join(complement(X0),zero))) )],[refute_0_413,refute_0_414]) ).
cnf(refute_0_416,plain,
complement(join(complement(X0),zero)) = complement(join(zero,complement(X0))),
inference(resolve,[$cnf( $equal(join(complement(X0),zero),join(zero,complement(X0))) )],[refute_0_412,refute_0_415]) ).
cnf(refute_0_417,plain,
( complement(join(complement(X0),zero)) != complement(join(zero,complement(X0)))
| complement(join(zero,complement(X0))) != meet(top,X0)
| complement(join(complement(X0),zero)) = meet(top,X0) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(complement(join(complement(X0),zero)))),bind(Y,$fot(complement(join(zero,complement(X0))))),bind(Z,$fot(meet(top,X0)))]]) ).
cnf(refute_0_418,plain,
( complement(join(zero,complement(X0))) != meet(top,X0)
| complement(join(complement(X0),zero)) = meet(top,X0) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X0),zero)),complement(join(zero,complement(X0)))) )],[refute_0_416,refute_0_417]) ).
cnf(refute_0_419,plain,
complement(join(complement(X0),zero)) = meet(top,X0),
inference(resolve,[$cnf( $equal(complement(join(zero,complement(X0))),meet(top,X0)) )],[refute_0_411,refute_0_418]) ).
cnf(refute_0_420,plain,
( complement(join(complement(X0),zero)) != meet(top,X0)
| meet(X0,top) != complement(join(complement(X0),zero))
| meet(X0,top) = meet(top,X0) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X0,top),complement(join(complement(X0),zero))) ),[1],$fot(meet(top,X0))]]) ).
cnf(refute_0_421,plain,
( meet(X0,top) != complement(join(complement(X0),zero))
| meet(X0,top) = meet(top,X0) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X0),zero)),meet(top,X0)) )],[refute_0_419,refute_0_420]) ).
cnf(refute_0_422,plain,
meet(X0,top) = meet(top,X0),
inference(resolve,[$cnf( $equal(meet(X0,top),complement(join(complement(X0),zero))) )],[refute_0_410,refute_0_421]) ).
cnf(refute_0_423,plain,
meet(complement(zero),top) = meet(top,complement(zero)),
inference(subst,[],[refute_0_422:[bind(X0,$fot(complement(zero)))]]) ).
cnf(refute_0_424,plain,
join(zero,meet(complement(zero),top)) = join(zero,meet(complement(zero),top)),
introduced(tautology,[refl,[$fot(join(zero,meet(complement(zero),top)))]]) ).
cnf(refute_0_425,plain,
( join(zero,meet(complement(zero),top)) != join(zero,meet(complement(zero),top))
| meet(complement(zero),top) != meet(top,complement(zero))
| join(zero,meet(complement(zero),top)) = join(zero,meet(top,complement(zero))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(complement(zero),top)),join(zero,meet(complement(zero),top))) ),[1,1],$fot(meet(top,complement(zero)))]]) ).
cnf(refute_0_426,plain,
( meet(complement(zero),top) != meet(top,complement(zero))
| join(zero,meet(complement(zero),top)) = join(zero,meet(top,complement(zero))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(zero),top)),join(zero,meet(complement(zero),top))) )],[refute_0_424,refute_0_425]) ).
cnf(refute_0_427,plain,
join(zero,meet(complement(zero),top)) = join(zero,meet(top,complement(zero))),
inference(resolve,[$cnf( $equal(meet(complement(zero),top),meet(top,complement(zero))) )],[refute_0_423,refute_0_426]) ).
cnf(refute_0_428,plain,
( join(zero,meet(complement(zero),top)) != join(zero,meet(top,complement(zero)))
| join(zero,meet(top,complement(zero))) != top
| join(zero,meet(complement(zero),top)) = top ),
inference(subst,[],[refute_0_20:[bind(X,$fot(join(zero,meet(complement(zero),top)))),bind(Y,$fot(join(zero,meet(top,complement(zero))))),bind(Z,$fot(top))]]) ).
cnf(refute_0_429,plain,
( join(zero,meet(top,complement(zero))) != top
| join(zero,meet(complement(zero),top)) = top ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(zero),top)),join(zero,meet(top,complement(zero)))) )],[refute_0_427,refute_0_428]) ).
cnf(refute_0_430,plain,
join(zero,meet(complement(zero),top)) = top,
inference(resolve,[$cnf( $equal(join(zero,meet(top,complement(zero))),top) )],[refute_0_406,refute_0_429]) ).
cnf(refute_0_431,plain,
join(meet(complement(zero),top),zero) = join(zero,meet(complement(zero),top)),
inference(subst,[],[refute_0_6:[bind(X0,$fot(zero)),bind(X1,$fot(meet(complement(zero),top)))]]) ).
cnf(refute_0_432,plain,
( join(meet(complement(zero),top),zero) != join(zero,meet(complement(zero),top))
| join(zero,meet(complement(zero),top)) != top
| join(meet(complement(zero),top),zero) = top ),
inference(subst,[],[refute_0_20:[bind(X,$fot(join(meet(complement(zero),top),zero))),bind(Y,$fot(join(zero,meet(complement(zero),top)))),bind(Z,$fot(top))]]) ).
cnf(refute_0_433,plain,
( join(zero,meet(complement(zero),top)) != top
| join(meet(complement(zero),top),zero) = top ),
inference(resolve,[$cnf( $equal(join(meet(complement(zero),top),zero),join(zero,meet(complement(zero),top))) )],[refute_0_431,refute_0_432]) ).
cnf(refute_0_434,plain,
join(meet(complement(zero),top),zero) = top,
inference(resolve,[$cnf( $equal(join(zero,meet(complement(zero),top)),top) )],[refute_0_430,refute_0_433]) ).
cnf(refute_0_435,plain,
( complement(zero) != join(meet(complement(zero),top),zero)
| join(meet(complement(zero),top),zero) != top
| complement(zero) = top ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(zero),top) ),[0],$fot(join(meet(complement(zero),top),zero))]]) ).
cnf(refute_0_436,plain,
( complement(zero) != join(meet(complement(zero),top),zero)
| complement(zero) = top ),
inference(resolve,[$cnf( $equal(join(meet(complement(zero),top),zero),top) )],[refute_0_434,refute_0_435]) ).
cnf(refute_0_437,plain,
complement(zero) = top,
inference(resolve,[$cnf( $equal(complement(zero),join(meet(complement(zero),top),zero)) )],[refute_0_382,refute_0_436]) ).
cnf(refute_0_438,plain,
meet(complement(X_58),X_58) = meet(X_58,complement(X_58)),
inference(subst,[],[refute_0_189:[bind(X_11,$fot(X_58)),bind(X_12,$fot(complement(X_58)))]]) ).
cnf(refute_0_439,plain,
( meet(X_58,complement(X_58)) != zero
| meet(complement(X_58),X_58) != meet(X_58,complement(X_58))
| meet(complement(X_58),X_58) = zero ),
inference(subst,[],[refute_0_20:[bind(X,$fot(meet(complement(X_58),X_58))),bind(Y,$fot(meet(X_58,complement(X_58)))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_440,plain,
( meet(X_58,complement(X_58)) != zero
| meet(complement(X_58),X_58) = zero ),
inference(resolve,[$cnf( $equal(meet(complement(X_58),X_58),meet(X_58,complement(X_58))) )],[refute_0_438,refute_0_439]) ).
cnf(refute_0_441,plain,
meet(complement(X_58),X_58) = zero,
inference(resolve,[$cnf( $equal(meet(X_58,complement(X_58)),zero) )],[refute_0_207,refute_0_440]) ).
cnf(refute_0_442,plain,
complement(meet(complement(X_58),X_58)) = complement(meet(complement(X_58),X_58)),
introduced(tautology,[refl,[$fot(complement(meet(complement(X_58),X_58)))]]) ).
cnf(refute_0_443,plain,
( complement(meet(complement(X_58),X_58)) != complement(meet(complement(X_58),X_58))
| meet(complement(X_58),X_58) != zero
| complement(meet(complement(X_58),X_58)) = complement(zero) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(complement(X_58),X_58)),complement(meet(complement(X_58),X_58))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_444,plain,
( meet(complement(X_58),X_58) != zero
| complement(meet(complement(X_58),X_58)) = complement(zero) ),
inference(resolve,[$cnf( $equal(complement(meet(complement(X_58),X_58)),complement(meet(complement(X_58),X_58))) )],[refute_0_442,refute_0_443]) ).
cnf(refute_0_445,plain,
complement(meet(complement(X_58),X_58)) = complement(zero),
inference(resolve,[$cnf( $equal(meet(complement(X_58),X_58),zero) )],[refute_0_441,refute_0_444]) ).
cnf(refute_0_446,plain,
( complement(meet(complement(X_58),X_58)) != complement(zero)
| complement(zero) != top
| complement(meet(complement(X_58),X_58)) = top ),
inference(subst,[],[refute_0_20:[bind(X,$fot(complement(meet(complement(X_58),X_58)))),bind(Y,$fot(complement(zero))),bind(Z,$fot(top))]]) ).
cnf(refute_0_447,plain,
( complement(zero) != top
| complement(meet(complement(X_58),X_58)) = top ),
inference(resolve,[$cnf( $equal(complement(meet(complement(X_58),X_58)),complement(zero)) )],[refute_0_445,refute_0_446]) ).
cnf(refute_0_448,plain,
complement(meet(complement(X_58),X_58)) = top,
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_437,refute_0_447]) ).
cnf(refute_0_449,plain,
join(complement(complement(X_58)),complement(X_58)) = complement(meet(complement(X_58),X_58)),
inference(subst,[],[refute_0_228:[bind(X0,$fot(complement(X_58))),bind(X1,$fot(X_58))]]) ).
cnf(refute_0_450,plain,
( complement(meet(complement(X_58),X_58)) != top
| join(complement(complement(X_58)),complement(X_58)) != complement(meet(complement(X_58),X_58))
| join(complement(complement(X_58)),complement(X_58)) = top ),
inference(subst,[],[refute_0_20:[bind(X,$fot(join(complement(complement(X_58)),complement(X_58)))),bind(Y,$fot(complement(meet(complement(X_58),X_58)))),bind(Z,$fot(top))]]) ).
cnf(refute_0_451,plain,
( complement(meet(complement(X_58),X_58)) != top
| join(complement(complement(X_58)),complement(X_58)) = top ),
inference(resolve,[$cnf( $equal(join(complement(complement(X_58)),complement(X_58)),complement(meet(complement(X_58),X_58))) )],[refute_0_449,refute_0_450]) ).
cnf(refute_0_452,plain,
join(complement(complement(X_58)),complement(X_58)) = top,
inference(resolve,[$cnf( $equal(complement(meet(complement(X_58),X_58)),top) )],[refute_0_448,refute_0_451]) ).
cnf(refute_0_453,plain,
join(X_58,join(complement(complement(X_58)),complement(X_58))) = join(X_58,join(complement(complement(X_58)),complement(X_58))),
introduced(tautology,[refl,[$fot(join(X_58,join(complement(complement(X_58)),complement(X_58))))]]) ).
cnf(refute_0_454,plain,
( join(X_58,join(complement(complement(X_58)),complement(X_58))) != join(X_58,join(complement(complement(X_58)),complement(X_58)))
| join(complement(complement(X_58)),complement(X_58)) != top
| join(X_58,join(complement(complement(X_58)),complement(X_58))) = join(X_58,top) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_58,join(complement(complement(X_58)),complement(X_58))),join(X_58,join(complement(complement(X_58)),complement(X_58)))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_455,plain,
( join(complement(complement(X_58)),complement(X_58)) != top
| join(X_58,join(complement(complement(X_58)),complement(X_58))) = join(X_58,top) ),
inference(resolve,[$cnf( $equal(join(X_58,join(complement(complement(X_58)),complement(X_58))),join(X_58,join(complement(complement(X_58)),complement(X_58)))) )],[refute_0_453,refute_0_454]) ).
cnf(refute_0_456,plain,
join(X_58,join(complement(complement(X_58)),complement(X_58))) = join(X_58,top),
inference(resolve,[$cnf( $equal(join(complement(complement(X_58)),complement(X_58)),top) )],[refute_0_452,refute_0_455]) ).
cnf(refute_0_457,plain,
join(join(X_58,complement(complement(X_58))),complement(X_58)) = join(X_58,join(complement(complement(X_58)),complement(X_58))),
inference(subst,[],[refute_0_114:[bind(X0,$fot(X_58)),bind(X1,$fot(complement(complement(X_58)))),bind(X2,$fot(complement(X_58)))]]) ).
cnf(refute_0_458,plain,
( join(X_58,join(complement(complement(X_58)),complement(X_58))) != join(X_58,top)
| join(join(X_58,complement(complement(X_58))),complement(X_58)) != join(X_58,join(complement(complement(X_58)),complement(X_58)))
| join(join(X_58,complement(complement(X_58))),complement(X_58)) = join(X_58,top) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(join(join(X_58,complement(complement(X_58))),complement(X_58)))),bind(Y,$fot(join(X_58,join(complement(complement(X_58)),complement(X_58))))),bind(Z,$fot(join(X_58,top)))]]) ).
cnf(refute_0_459,plain,
( join(X_58,join(complement(complement(X_58)),complement(X_58))) != join(X_58,top)
| join(join(X_58,complement(complement(X_58))),complement(X_58)) = join(X_58,top) ),
inference(resolve,[$cnf( $equal(join(join(X_58,complement(complement(X_58))),complement(X_58)),join(X_58,join(complement(complement(X_58)),complement(X_58)))) )],[refute_0_457,refute_0_458]) ).
cnf(refute_0_460,plain,
join(join(X_58,complement(complement(X_58))),complement(X_58)) = join(X_58,top),
inference(resolve,[$cnf( $equal(join(X_58,join(complement(complement(X_58)),complement(X_58))),join(X_58,top)) )],[refute_0_456,refute_0_459]) ).
cnf(refute_0_461,plain,
( join(join(X_58,complement(complement(X_58))),complement(X_58)) != join(X_58,top)
| top != join(join(X_58,complement(complement(X_58))),complement(X_58))
| top = join(X_58,top) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(join(X_58,complement(complement(X_58))),complement(X_58))) ),[1],$fot(join(X_58,top))]]) ).
cnf(refute_0_462,plain,
( top != join(join(X_58,complement(complement(X_58))),complement(X_58))
| top = join(X_58,top) ),
inference(resolve,[$cnf( $equal(join(join(X_58,complement(complement(X_58))),complement(X_58)),join(X_58,top)) )],[refute_0_460,refute_0_461]) ).
cnf(refute_0_463,plain,
top = join(X_58,top),
inference(resolve,[$cnf( $equal(top,join(join(X_58,complement(complement(X_58))),complement(X_58))) )],[refute_0_364,refute_0_462]) ).
cnf(refute_0_464,plain,
top = join(X1,top),
inference(subst,[],[refute_0_463:[bind(X_58,$fot(X1))]]) ).
cnf(refute_0_465,plain,
( top != join(X1,top)
| join(X1,top) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(X1,top)))]]) ).
cnf(refute_0_466,plain,
join(X1,top) = top,
inference(resolve,[$cnf( $equal(top,join(X1,top)) )],[refute_0_464,refute_0_465]) ).
cnf(refute_0_467,plain,
( join(X1,top) != top
| join(top,X1) != join(X1,top)
| join(top,X1) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(top,X1),join(X1,top)) ),[1],$fot(top)]]) ).
cnf(refute_0_468,plain,
( join(top,X1) != join(X1,top)
| join(top,X1) = top ),
inference(resolve,[$cnf( $equal(join(X1,top),top) )],[refute_0_466,refute_0_467]) ).
cnf(refute_0_469,plain,
join(top,X1) = top,
inference(resolve,[$cnf( $equal(join(top,X1),join(X1,top)) )],[refute_0_82,refute_0_468]) ).
cnf(refute_0_470,plain,
join(top,X_81) = top,
inference(subst,[],[refute_0_469:[bind(X1,$fot(X_81))]]) ).
cnf(refute_0_471,plain,
( join(X_79,join(complement(X_79),X_81)) != join(top,X_81)
| join(top,X_81) != top
| join(X_79,join(complement(X_79),X_81)) = top ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_79,join(complement(X_79),X_81)),top) ),[0],$fot(join(top,X_81))]]) ).
cnf(refute_0_472,plain,
( join(X_79,join(complement(X_79),X_81)) != join(top,X_81)
| join(X_79,join(complement(X_79),X_81)) = top ),
inference(resolve,[$cnf( $equal(join(top,X_81),top) )],[refute_0_470,refute_0_471]) ).
cnf(refute_0_473,plain,
join(X_79,join(complement(X_79),X_81)) = top,
inference(resolve,[$cnf( $equal(join(X_79,join(complement(X_79),X_81)),join(top,X_81)) )],[refute_0_81,refute_0_472]) ).
cnf(refute_0_474,plain,
join(complement(X_32),join(complement(complement(X_32)),X_84)) = top,
inference(subst,[],[refute_0_473:[bind(X_79,$fot(complement(X_32))),bind(X_81,$fot(X_84))]]) ).
cnf(refute_0_475,plain,
( X_32 != join(meet(join(complement(complement(X_32)),X_84),X_32),complement(join(complement(X_32),join(complement(complement(X_32)),X_84))))
| join(complement(X_32),join(complement(complement(X_32)),X_84)) != top
| X_32 = join(meet(join(complement(complement(X_32)),X_84),X_32),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(X_32,join(meet(join(complement(complement(X_32)),X_84),X_32),complement(join(complement(X_32),join(complement(complement(X_32)),X_84))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_0_476,plain,
( X_32 != join(meet(join(complement(complement(X_32)),X_84),X_32),complement(join(complement(X_32),join(complement(complement(X_32)),X_84))))
| X_32 = join(meet(join(complement(complement(X_32)),X_84),X_32),complement(top)) ),
inference(resolve,[$cnf( $equal(join(complement(X_32),join(complement(complement(X_32)),X_84)),top) )],[refute_0_474,refute_0_475]) ).
cnf(refute_0_477,plain,
X_32 = join(meet(join(complement(complement(X_32)),X_84),X_32),complement(top)),
inference(resolve,[$cnf( $equal(X_32,join(meet(join(complement(complement(X_32)),X_84),X_32),complement(join(complement(X_32),join(complement(complement(X_32)),X_84))))) )],[refute_0_73,refute_0_476]) ).
cnf(refute_0_478,plain,
meet(top,X_16) = join(meet(meet(top,X_16),join(zero,complement(X_16))),complement(join(complement(meet(top,X_16)),join(zero,complement(X_16))))),
inference(subst,[],[refute_0_26:[bind(X0,$fot(meet(top,X_16))),bind(X1,$fot(join(zero,complement(X_16))))]]) ).
cnf(refute_0_479,plain,
zero = meet(join(zero,complement(X_16)),complement(join(zero,complement(X_16)))),
inference(subst,[],[refute_0_136:[bind(X0,$fot(join(zero,complement(X_16))))]]) ).
cnf(refute_0_480,plain,
( complement(join(zero,complement(X_16))) != meet(top,X_16)
| zero != meet(join(zero,complement(X_16)),complement(join(zero,complement(X_16))))
| zero = meet(join(zero,complement(X_16)),meet(top,X_16)) ),
introduced(tautology,[equality,[$cnf( $equal(zero,meet(join(zero,complement(X_16)),complement(join(zero,complement(X_16))))) ),[1,1],$fot(meet(top,X_16))]]) ).
cnf(refute_0_481,plain,
( zero != meet(join(zero,complement(X_16)),complement(join(zero,complement(X_16))))
| zero = meet(join(zero,complement(X_16)),meet(top,X_16)) ),
inference(resolve,[$cnf( $equal(complement(join(zero,complement(X_16))),meet(top,X_16)) )],[refute_0_327,refute_0_480]) ).
cnf(refute_0_482,plain,
zero = meet(join(zero,complement(X_16)),meet(top,X_16)),
inference(resolve,[$cnf( $equal(zero,meet(join(zero,complement(X_16)),complement(join(zero,complement(X_16))))) )],[refute_0_479,refute_0_481]) ).
cnf(refute_0_483,plain,
meet(join(zero,complement(X_16)),meet(top,X_16)) = meet(meet(top,X_16),join(zero,complement(X_16))),
inference(subst,[],[refute_0_189:[bind(X_11,$fot(meet(top,X_16))),bind(X_12,$fot(join(zero,complement(X_16))))]]) ).
cnf(refute_0_484,plain,
( meet(join(zero,complement(X_16)),meet(top,X_16)) != meet(meet(top,X_16),join(zero,complement(X_16)))
| zero != meet(join(zero,complement(X_16)),meet(top,X_16))
| zero = meet(meet(top,X_16),join(zero,complement(X_16))) ),
introduced(tautology,[equality,[$cnf( $equal(zero,meet(join(zero,complement(X_16)),meet(top,X_16))) ),[1],$fot(meet(meet(top,X_16),join(zero,complement(X_16))))]]) ).
cnf(refute_0_485,plain,
( zero != meet(join(zero,complement(X_16)),meet(top,X_16))
| zero = meet(meet(top,X_16),join(zero,complement(X_16))) ),
inference(resolve,[$cnf( $equal(meet(join(zero,complement(X_16)),meet(top,X_16)),meet(meet(top,X_16),join(zero,complement(X_16)))) )],[refute_0_483,refute_0_484]) ).
cnf(refute_0_486,plain,
zero = meet(meet(top,X_16),join(zero,complement(X_16))),
inference(resolve,[$cnf( $equal(zero,meet(join(zero,complement(X_16)),meet(top,X_16))) )],[refute_0_482,refute_0_485]) ).
cnf(refute_0_487,plain,
( zero != meet(meet(top,X_16),join(zero,complement(X_16)))
| meet(meet(top,X_16),join(zero,complement(X_16))) = zero ),
inference(subst,[],[refute_0_4:[bind(X,$fot(zero)),bind(Y,$fot(meet(meet(top,X_16),join(zero,complement(X_16)))))]]) ).
cnf(refute_0_488,plain,
meet(meet(top,X_16),join(zero,complement(X_16))) = zero,
inference(resolve,[$cnf( $equal(zero,meet(meet(top,X_16),join(zero,complement(X_16)))) )],[refute_0_486,refute_0_487]) ).
cnf(refute_0_489,plain,
( meet(meet(top,X_16),join(zero,complement(X_16))) != zero
| meet(top,X_16) != join(meet(meet(top,X_16),join(zero,complement(X_16))),complement(join(complement(meet(top,X_16)),join(zero,complement(X_16)))))
| meet(top,X_16) = join(zero,complement(join(complement(meet(top,X_16)),join(zero,complement(X_16))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,X_16),join(meet(meet(top,X_16),join(zero,complement(X_16))),complement(join(complement(meet(top,X_16)),join(zero,complement(X_16)))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_490,plain,
( meet(top,X_16) != join(meet(meet(top,X_16),join(zero,complement(X_16))),complement(join(complement(meet(top,X_16)),join(zero,complement(X_16)))))
| meet(top,X_16) = join(zero,complement(join(complement(meet(top,X_16)),join(zero,complement(X_16))))) ),
inference(resolve,[$cnf( $equal(meet(meet(top,X_16),join(zero,complement(X_16))),zero) )],[refute_0_488,refute_0_489]) ).
cnf(refute_0_491,plain,
meet(top,X_16) = join(zero,complement(join(complement(meet(top,X_16)),join(zero,complement(X_16))))),
inference(resolve,[$cnf( $equal(meet(top,X_16),join(meet(meet(top,X_16),join(zero,complement(X_16))),complement(join(complement(meet(top,X_16)),join(zero,complement(X_16)))))) )],[refute_0_478,refute_0_490]) ).
cnf(refute_0_492,plain,
join(complement(meet(top,X_16)),complement(meet(top,X_16))) = complement(meet(meet(top,X_16),meet(top,X_16))),
inference(subst,[],[refute_0_228:[bind(X0,$fot(meet(top,X_16))),bind(X1,$fot(meet(top,X_16)))]]) ).
cnf(refute_0_493,plain,
join(zero,complement(X_16)) = complement(meet(top,X_16)),
inference(subst,[],[refute_0_355:[bind(X1,$fot(X_16))]]) ).
cnf(refute_0_494,plain,
join(complement(meet(top,X_16)),join(zero,complement(X_16))) = join(complement(meet(top,X_16)),join(zero,complement(X_16))),
introduced(tautology,[refl,[$fot(join(complement(meet(top,X_16)),join(zero,complement(X_16))))]]) ).
cnf(refute_0_495,plain,
( join(complement(meet(top,X_16)),join(zero,complement(X_16))) != join(complement(meet(top,X_16)),join(zero,complement(X_16)))
| join(zero,complement(X_16)) != complement(meet(top,X_16))
| join(complement(meet(top,X_16)),join(zero,complement(X_16))) = join(complement(meet(top,X_16)),complement(meet(top,X_16))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(meet(top,X_16)),join(zero,complement(X_16))),join(complement(meet(top,X_16)),join(zero,complement(X_16)))) ),[1,1],$fot(complement(meet(top,X_16)))]]) ).
cnf(refute_0_496,plain,
( join(zero,complement(X_16)) != complement(meet(top,X_16))
| join(complement(meet(top,X_16)),join(zero,complement(X_16))) = join(complement(meet(top,X_16)),complement(meet(top,X_16))) ),
inference(resolve,[$cnf( $equal(join(complement(meet(top,X_16)),join(zero,complement(X_16))),join(complement(meet(top,X_16)),join(zero,complement(X_16)))) )],[refute_0_494,refute_0_495]) ).
cnf(refute_0_497,plain,
join(complement(meet(top,X_16)),join(zero,complement(X_16))) = join(complement(meet(top,X_16)),complement(meet(top,X_16))),
inference(resolve,[$cnf( $equal(join(zero,complement(X_16)),complement(meet(top,X_16))) )],[refute_0_493,refute_0_496]) ).
cnf(refute_0_498,plain,
( join(complement(meet(top,X_16)),complement(meet(top,X_16))) != complement(meet(meet(top,X_16),meet(top,X_16)))
| join(complement(meet(top,X_16)),join(zero,complement(X_16))) != join(complement(meet(top,X_16)),complement(meet(top,X_16)))
| join(complement(meet(top,X_16)),join(zero,complement(X_16))) = complement(meet(meet(top,X_16),meet(top,X_16))) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(join(complement(meet(top,X_16)),join(zero,complement(X_16))))),bind(Y,$fot(join(complement(meet(top,X_16)),complement(meet(top,X_16))))),bind(Z,$fot(complement(meet(meet(top,X_16),meet(top,X_16)))))]]) ).
cnf(refute_0_499,plain,
( join(complement(meet(top,X_16)),complement(meet(top,X_16))) != complement(meet(meet(top,X_16),meet(top,X_16)))
| join(complement(meet(top,X_16)),join(zero,complement(X_16))) = complement(meet(meet(top,X_16),meet(top,X_16))) ),
inference(resolve,[$cnf( $equal(join(complement(meet(top,X_16)),join(zero,complement(X_16))),join(complement(meet(top,X_16)),complement(meet(top,X_16)))) )],[refute_0_497,refute_0_498]) ).
cnf(refute_0_500,plain,
join(complement(meet(top,X_16)),join(zero,complement(X_16))) = complement(meet(meet(top,X_16),meet(top,X_16))),
inference(resolve,[$cnf( $equal(join(complement(meet(top,X_16)),complement(meet(top,X_16))),complement(meet(meet(top,X_16),meet(top,X_16)))) )],[refute_0_492,refute_0_499]) ).
cnf(refute_0_501,plain,
meet(top,join(complement(meet(top,X_16)),join(zero,complement(X_16)))) = meet(top,join(complement(meet(top,X_16)),join(zero,complement(X_16)))),
introduced(tautology,[refl,[$fot(meet(top,join(complement(meet(top,X_16)),join(zero,complement(X_16)))))]]) ).
cnf(refute_0_502,plain,
( join(complement(meet(top,X_16)),join(zero,complement(X_16))) != complement(meet(meet(top,X_16),meet(top,X_16)))
| meet(top,join(complement(meet(top,X_16)),join(zero,complement(X_16)))) != meet(top,join(complement(meet(top,X_16)),join(zero,complement(X_16))))
| meet(top,join(complement(meet(top,X_16)),join(zero,complement(X_16)))) = meet(top,complement(meet(meet(top,X_16),meet(top,X_16)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,join(complement(meet(top,X_16)),join(zero,complement(X_16)))),meet(top,join(complement(meet(top,X_16)),join(zero,complement(X_16))))) ),[1,1],$fot(complement(meet(meet(top,X_16),meet(top,X_16))))]]) ).
cnf(refute_0_503,plain,
( join(complement(meet(top,X_16)),join(zero,complement(X_16))) != complement(meet(meet(top,X_16),meet(top,X_16)))
| meet(top,join(complement(meet(top,X_16)),join(zero,complement(X_16)))) = meet(top,complement(meet(meet(top,X_16),meet(top,X_16)))) ),
inference(resolve,[$cnf( $equal(meet(top,join(complement(meet(top,X_16)),join(zero,complement(X_16)))),meet(top,join(complement(meet(top,X_16)),join(zero,complement(X_16))))) )],[refute_0_501,refute_0_502]) ).
cnf(refute_0_504,plain,
meet(top,join(complement(meet(top,X_16)),join(zero,complement(X_16)))) = meet(top,complement(meet(meet(top,X_16),meet(top,X_16)))),
inference(resolve,[$cnf( $equal(join(complement(meet(top,X_16)),join(zero,complement(X_16))),complement(meet(meet(top,X_16),meet(top,X_16)))) )],[refute_0_500,refute_0_503]) ).
cnf(refute_0_505,plain,
complement(meet(top,join(complement(meet(top,X_16)),join(zero,complement(X_16))))) = complement(meet(top,join(complement(meet(top,X_16)),join(zero,complement(X_16))))),
introduced(tautology,[refl,[$fot(complement(meet(top,join(complement(meet(top,X_16)),join(zero,complement(X_16))))))]]) ).
cnf(refute_0_506,plain,
( complement(meet(top,join(complement(meet(top,X_16)),join(zero,complement(X_16))))) != complement(meet(top,join(complement(meet(top,X_16)),join(zero,complement(X_16)))))
| meet(top,join(complement(meet(top,X_16)),join(zero,complement(X_16)))) != meet(top,complement(meet(meet(top,X_16),meet(top,X_16))))
| complement(meet(top,join(complement(meet(top,X_16)),join(zero,complement(X_16))))) = complement(meet(top,complement(meet(meet(top,X_16),meet(top,X_16))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(top,join(complement(meet(top,X_16)),join(zero,complement(X_16))))),complement(meet(top,join(complement(meet(top,X_16)),join(zero,complement(X_16)))))) ),[1,0],$fot(meet(top,complement(meet(meet(top,X_16),meet(top,X_16)))))]]) ).
cnf(refute_0_507,plain,
( meet(top,join(complement(meet(top,X_16)),join(zero,complement(X_16)))) != meet(top,complement(meet(meet(top,X_16),meet(top,X_16))))
| complement(meet(top,join(complement(meet(top,X_16)),join(zero,complement(X_16))))) = complement(meet(top,complement(meet(meet(top,X_16),meet(top,X_16))))) ),
inference(resolve,[$cnf( $equal(complement(meet(top,join(complement(meet(top,X_16)),join(zero,complement(X_16))))),complement(meet(top,join(complement(meet(top,X_16)),join(zero,complement(X_16)))))) )],[refute_0_505,refute_0_506]) ).
cnf(refute_0_508,plain,
complement(meet(top,join(complement(meet(top,X_16)),join(zero,complement(X_16))))) = complement(meet(top,complement(meet(meet(top,X_16),meet(top,X_16))))),
inference(resolve,[$cnf( $equal(meet(top,join(complement(meet(top,X_16)),join(zero,complement(X_16)))),meet(top,complement(meet(meet(top,X_16),meet(top,X_16))))) )],[refute_0_504,refute_0_507]) ).
cnf(refute_0_509,plain,
join(zero,complement(join(complement(meet(top,X_16)),join(zero,complement(X_16))))) = complement(meet(top,join(complement(meet(top,X_16)),join(zero,complement(X_16))))),
inference(subst,[],[refute_0_355:[bind(X1,$fot(join(complement(meet(top,X_16)),join(zero,complement(X_16)))))]]) ).
cnf(refute_0_510,plain,
( complement(meet(top,join(complement(meet(top,X_16)),join(zero,complement(X_16))))) != complement(meet(top,complement(meet(meet(top,X_16),meet(top,X_16)))))
| join(zero,complement(join(complement(meet(top,X_16)),join(zero,complement(X_16))))) != complement(meet(top,join(complement(meet(top,X_16)),join(zero,complement(X_16)))))
| join(zero,complement(join(complement(meet(top,X_16)),join(zero,complement(X_16))))) = complement(meet(top,complement(meet(meet(top,X_16),meet(top,X_16))))) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(join(zero,complement(join(complement(meet(top,X_16)),join(zero,complement(X_16))))))),bind(Y,$fot(complement(meet(top,join(complement(meet(top,X_16)),join(zero,complement(X_16))))))),bind(Z,$fot(complement(meet(top,complement(meet(meet(top,X_16),meet(top,X_16)))))))]]) ).
cnf(refute_0_511,plain,
( complement(meet(top,join(complement(meet(top,X_16)),join(zero,complement(X_16))))) != complement(meet(top,complement(meet(meet(top,X_16),meet(top,X_16)))))
| join(zero,complement(join(complement(meet(top,X_16)),join(zero,complement(X_16))))) = complement(meet(top,complement(meet(meet(top,X_16),meet(top,X_16))))) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(complement(meet(top,X_16)),join(zero,complement(X_16))))),complement(meet(top,join(complement(meet(top,X_16)),join(zero,complement(X_16)))))) )],[refute_0_509,refute_0_510]) ).
cnf(refute_0_512,plain,
join(zero,complement(join(complement(meet(top,X_16)),join(zero,complement(X_16))))) = complement(meet(top,complement(meet(meet(top,X_16),meet(top,X_16))))),
inference(resolve,[$cnf( $equal(complement(meet(top,join(complement(meet(top,X_16)),join(zero,complement(X_16))))),complement(meet(top,complement(meet(meet(top,X_16),meet(top,X_16)))))) )],[refute_0_508,refute_0_511]) ).
cnf(refute_0_513,plain,
( join(zero,complement(join(complement(meet(top,X_16)),join(zero,complement(X_16))))) != complement(meet(top,complement(meet(meet(top,X_16),meet(top,X_16)))))
| meet(top,X_16) != join(zero,complement(join(complement(meet(top,X_16)),join(zero,complement(X_16)))))
| meet(top,X_16) = complement(meet(top,complement(meet(meet(top,X_16),meet(top,X_16))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,X_16),join(zero,complement(join(complement(meet(top,X_16)),join(zero,complement(X_16)))))) ),[1],$fot(complement(meet(top,complement(meet(meet(top,X_16),meet(top,X_16))))))]]) ).
cnf(refute_0_514,plain,
( meet(top,X_16) != join(zero,complement(join(complement(meet(top,X_16)),join(zero,complement(X_16)))))
| meet(top,X_16) = complement(meet(top,complement(meet(meet(top,X_16),meet(top,X_16))))) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(complement(meet(top,X_16)),join(zero,complement(X_16))))),complement(meet(top,complement(meet(meet(top,X_16),meet(top,X_16)))))) )],[refute_0_512,refute_0_513]) ).
cnf(refute_0_515,plain,
meet(top,X_16) = complement(meet(top,complement(meet(meet(top,X_16),meet(top,X_16))))),
inference(resolve,[$cnf( $equal(meet(top,X_16),join(zero,complement(join(complement(meet(top,X_16)),join(zero,complement(X_16)))))) )],[refute_0_491,refute_0_514]) ).
cnf(refute_0_516,plain,
meet(top,X_33) = join(meet(meet(top,X_33),X_33),complement(join(X_33,complement(meet(top,X_33))))),
inference(subst,[],[refute_0_33:[bind(X_32,$fot(meet(top,X_33)))]]) ).
cnf(refute_0_517,plain,
top = join(X_33,complement(meet(top,X_33))),
inference(subst,[],[refute_0_286:[bind(X0,$fot(X_33))]]) ).
cnf(refute_0_518,plain,
( top != join(X_33,complement(meet(top,X_33)))
| join(X_33,complement(meet(top,X_33))) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(X_33,complement(meet(top,X_33)))))]]) ).
cnf(refute_0_519,plain,
join(X_33,complement(meet(top,X_33))) = top,
inference(resolve,[$cnf( $equal(top,join(X_33,complement(meet(top,X_33)))) )],[refute_0_517,refute_0_518]) ).
cnf(refute_0_520,plain,
( join(X_33,complement(meet(top,X_33))) != top
| meet(top,X_33) != join(meet(meet(top,X_33),X_33),complement(join(X_33,complement(meet(top,X_33)))))
| meet(top,X_33) = join(meet(meet(top,X_33),X_33),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,X_33),join(meet(meet(top,X_33),X_33),complement(join(X_33,complement(meet(top,X_33)))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_0_521,plain,
( meet(top,X_33) != join(meet(meet(top,X_33),X_33),complement(join(X_33,complement(meet(top,X_33)))))
| meet(top,X_33) = join(meet(meet(top,X_33),X_33),complement(top)) ),
inference(resolve,[$cnf( $equal(join(X_33,complement(meet(top,X_33))),top) )],[refute_0_519,refute_0_520]) ).
cnf(refute_0_522,plain,
meet(top,X_33) = join(meet(meet(top,X_33),X_33),complement(top)),
inference(resolve,[$cnf( $equal(meet(top,X_33),join(meet(meet(top,X_33),X_33),complement(join(X_33,complement(meet(top,X_33)))))) )],[refute_0_516,refute_0_521]) ).
cnf(refute_0_523,plain,
meet(meet(top,X_33),X_33) = meet(X_33,meet(top,X_33)),
inference(subst,[],[refute_0_189:[bind(X_11,$fot(X_33)),bind(X_12,$fot(meet(top,X_33)))]]) ).
cnf(refute_0_524,plain,
join(zero,meet(meet(top,X_33),X_33)) = join(zero,meet(meet(top,X_33),X_33)),
introduced(tautology,[refl,[$fot(join(zero,meet(meet(top,X_33),X_33)))]]) ).
cnf(refute_0_525,plain,
( join(zero,meet(meet(top,X_33),X_33)) != join(zero,meet(meet(top,X_33),X_33))
| meet(meet(top,X_33),X_33) != meet(X_33,meet(top,X_33))
| join(zero,meet(meet(top,X_33),X_33)) = join(zero,meet(X_33,meet(top,X_33))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(meet(top,X_33),X_33)),join(zero,meet(meet(top,X_33),X_33))) ),[1,1],$fot(meet(X_33,meet(top,X_33)))]]) ).
cnf(refute_0_526,plain,
( meet(meet(top,X_33),X_33) != meet(X_33,meet(top,X_33))
| join(zero,meet(meet(top,X_33),X_33)) = join(zero,meet(X_33,meet(top,X_33))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(meet(top,X_33),X_33)),join(zero,meet(meet(top,X_33),X_33))) )],[refute_0_524,refute_0_525]) ).
cnf(refute_0_527,plain,
join(zero,meet(meet(top,X_33),X_33)) = join(zero,meet(X_33,meet(top,X_33))),
inference(resolve,[$cnf( $equal(meet(meet(top,X_33),X_33),meet(X_33,meet(top,X_33))) )],[refute_0_523,refute_0_526]) ).
cnf(refute_0_528,plain,
join(complement(top),meet(meet(top,X_33),X_33)) = join(complement(top),meet(meet(top,X_33),X_33)),
introduced(tautology,[refl,[$fot(join(complement(top),meet(meet(top,X_33),X_33)))]]) ).
cnf(refute_0_529,plain,
( complement(top) != zero
| join(complement(top),meet(meet(top,X_33),X_33)) != join(complement(top),meet(meet(top,X_33),X_33))
| join(complement(top),meet(meet(top,X_33),X_33)) = join(zero,meet(meet(top,X_33),X_33)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(meet(top,X_33),X_33)),join(complement(top),meet(meet(top,X_33),X_33))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_530,plain,
( complement(top) != zero
| join(complement(top),meet(meet(top,X_33),X_33)) = join(zero,meet(meet(top,X_33),X_33)) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(meet(top,X_33),X_33)),join(complement(top),meet(meet(top,X_33),X_33))) )],[refute_0_528,refute_0_529]) ).
cnf(refute_0_531,plain,
join(complement(top),meet(meet(top,X_33),X_33)) = join(zero,meet(meet(top,X_33),X_33)),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_162,refute_0_530]) ).
cnf(refute_0_532,plain,
( join(complement(top),meet(meet(top,X_33),X_33)) != join(zero,meet(meet(top,X_33),X_33))
| join(zero,meet(meet(top,X_33),X_33)) != join(zero,meet(X_33,meet(top,X_33)))
| join(complement(top),meet(meet(top,X_33),X_33)) = join(zero,meet(X_33,meet(top,X_33))) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(join(complement(top),meet(meet(top,X_33),X_33)))),bind(Y,$fot(join(zero,meet(meet(top,X_33),X_33)))),bind(Z,$fot(join(zero,meet(X_33,meet(top,X_33)))))]]) ).
cnf(refute_0_533,plain,
( join(zero,meet(meet(top,X_33),X_33)) != join(zero,meet(X_33,meet(top,X_33)))
| join(complement(top),meet(meet(top,X_33),X_33)) = join(zero,meet(X_33,meet(top,X_33))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(meet(top,X_33),X_33)),join(zero,meet(meet(top,X_33),X_33))) )],[refute_0_531,refute_0_532]) ).
cnf(refute_0_534,plain,
join(complement(top),meet(meet(top,X_33),X_33)) = join(zero,meet(X_33,meet(top,X_33))),
inference(resolve,[$cnf( $equal(join(zero,meet(meet(top,X_33),X_33)),join(zero,meet(X_33,meet(top,X_33)))) )],[refute_0_527,refute_0_533]) ).
cnf(refute_0_535,plain,
join(meet(meet(top,X_33),X_33),complement(top)) = join(complement(top),meet(meet(top,X_33),X_33)),
inference(subst,[],[refute_0_6:[bind(X0,$fot(complement(top))),bind(X1,$fot(meet(meet(top,X_33),X_33)))]]) ).
cnf(refute_0_536,plain,
( join(complement(top),meet(meet(top,X_33),X_33)) != join(zero,meet(X_33,meet(top,X_33)))
| join(meet(meet(top,X_33),X_33),complement(top)) != join(complement(top),meet(meet(top,X_33),X_33))
| join(meet(meet(top,X_33),X_33),complement(top)) = join(zero,meet(X_33,meet(top,X_33))) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(join(meet(meet(top,X_33),X_33),complement(top)))),bind(Y,$fot(join(complement(top),meet(meet(top,X_33),X_33)))),bind(Z,$fot(join(zero,meet(X_33,meet(top,X_33)))))]]) ).
cnf(refute_0_537,plain,
( join(complement(top),meet(meet(top,X_33),X_33)) != join(zero,meet(X_33,meet(top,X_33)))
| join(meet(meet(top,X_33),X_33),complement(top)) = join(zero,meet(X_33,meet(top,X_33))) ),
inference(resolve,[$cnf( $equal(join(meet(meet(top,X_33),X_33),complement(top)),join(complement(top),meet(meet(top,X_33),X_33))) )],[refute_0_535,refute_0_536]) ).
cnf(refute_0_538,plain,
join(meet(meet(top,X_33),X_33),complement(top)) = join(zero,meet(X_33,meet(top,X_33))),
inference(resolve,[$cnf( $equal(join(complement(top),meet(meet(top,X_33),X_33)),join(zero,meet(X_33,meet(top,X_33)))) )],[refute_0_534,refute_0_537]) ).
cnf(refute_0_539,plain,
( join(meet(meet(top,X_33),X_33),complement(top)) != join(zero,meet(X_33,meet(top,X_33)))
| meet(top,X_33) != join(meet(meet(top,X_33),X_33),complement(top))
| meet(top,X_33) = join(zero,meet(X_33,meet(top,X_33))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,X_33),join(meet(meet(top,X_33),X_33),complement(top))) ),[1],$fot(join(zero,meet(X_33,meet(top,X_33))))]]) ).
cnf(refute_0_540,plain,
( meet(top,X_33) != join(meet(meet(top,X_33),X_33),complement(top))
| meet(top,X_33) = join(zero,meet(X_33,meet(top,X_33))) ),
inference(resolve,[$cnf( $equal(join(meet(meet(top,X_33),X_33),complement(top)),join(zero,meet(X_33,meet(top,X_33)))) )],[refute_0_538,refute_0_539]) ).
cnf(refute_0_541,plain,
meet(top,X_33) = join(zero,meet(X_33,meet(top,X_33))),
inference(resolve,[$cnf( $equal(meet(top,X_33),join(meet(meet(top,X_33),X_33),complement(top))) )],[refute_0_522,refute_0_540]) ).
cnf(refute_0_542,plain,
X_32 = join(meet(top,X_32),complement(join(complement(X_32),top))),
inference(subst,[],[refute_0_72:[bind(X_33,$fot(top))]]) ).
cnf(refute_0_543,plain,
top = join(complement(X_32),top),
inference(subst,[],[refute_0_463:[bind(X_58,$fot(complement(X_32)))]]) ).
cnf(refute_0_544,plain,
( top != join(complement(X_32),top)
| join(complement(X_32),top) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(complement(X_32),top)))]]) ).
cnf(refute_0_545,plain,
join(complement(X_32),top) = top,
inference(resolve,[$cnf( $equal(top,join(complement(X_32),top)) )],[refute_0_543,refute_0_544]) ).
cnf(refute_0_546,plain,
( X_32 != join(meet(top,X_32),complement(join(complement(X_32),top)))
| join(complement(X_32),top) != top
| X_32 = join(meet(top,X_32),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(X_32,join(meet(top,X_32),complement(join(complement(X_32),top)))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_0_547,plain,
( X_32 != join(meet(top,X_32),complement(join(complement(X_32),top)))
| X_32 = join(meet(top,X_32),complement(top)) ),
inference(resolve,[$cnf( $equal(join(complement(X_32),top),top) )],[refute_0_545,refute_0_546]) ).
cnf(refute_0_548,plain,
X_32 = join(meet(top,X_32),complement(top)),
inference(resolve,[$cnf( $equal(X_32,join(meet(top,X_32),complement(join(complement(X_32),top)))) )],[refute_0_542,refute_0_547]) ).
cnf(refute_0_549,plain,
join(complement(top),meet(top,X_32)) = join(complement(top),meet(top,X_32)),
introduced(tautology,[refl,[$fot(join(complement(top),meet(top,X_32)))]]) ).
cnf(refute_0_550,plain,
( complement(top) != zero
| join(complement(top),meet(top,X_32)) != join(complement(top),meet(top,X_32))
| join(complement(top),meet(top,X_32)) = join(zero,meet(top,X_32)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(top,X_32)),join(complement(top),meet(top,X_32))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_551,plain,
( complement(top) != zero
| join(complement(top),meet(top,X_32)) = join(zero,meet(top,X_32)) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(top,X_32)),join(complement(top),meet(top,X_32))) )],[refute_0_549,refute_0_550]) ).
cnf(refute_0_552,plain,
join(complement(top),meet(top,X_32)) = join(zero,meet(top,X_32)),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_162,refute_0_551]) ).
cnf(refute_0_553,plain,
join(meet(top,X_32),complement(top)) = join(complement(top),meet(top,X_32)),
inference(subst,[],[refute_0_6:[bind(X0,$fot(complement(top))),bind(X1,$fot(meet(top,X_32)))]]) ).
cnf(refute_0_554,plain,
( join(complement(top),meet(top,X_32)) != join(zero,meet(top,X_32))
| join(meet(top,X_32),complement(top)) != join(complement(top),meet(top,X_32))
| join(meet(top,X_32),complement(top)) = join(zero,meet(top,X_32)) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(join(meet(top,X_32),complement(top)))),bind(Y,$fot(join(complement(top),meet(top,X_32)))),bind(Z,$fot(join(zero,meet(top,X_32))))]]) ).
cnf(refute_0_555,plain,
( join(complement(top),meet(top,X_32)) != join(zero,meet(top,X_32))
| join(meet(top,X_32),complement(top)) = join(zero,meet(top,X_32)) ),
inference(resolve,[$cnf( $equal(join(meet(top,X_32),complement(top)),join(complement(top),meet(top,X_32))) )],[refute_0_553,refute_0_554]) ).
cnf(refute_0_556,plain,
join(meet(top,X_32),complement(top)) = join(zero,meet(top,X_32)),
inference(resolve,[$cnf( $equal(join(complement(top),meet(top,X_32)),join(zero,meet(top,X_32))) )],[refute_0_552,refute_0_555]) ).
cnf(refute_0_557,plain,
( X_32 != join(meet(top,X_32),complement(top))
| join(meet(top,X_32),complement(top)) != join(zero,meet(top,X_32))
| X_32 = join(zero,meet(top,X_32)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_32,join(zero,meet(top,X_32))) ),[0],$fot(join(meet(top,X_32),complement(top)))]]) ).
cnf(refute_0_558,plain,
( X_32 != join(meet(top,X_32),complement(top))
| X_32 = join(zero,meet(top,X_32)) ),
inference(resolve,[$cnf( $equal(join(meet(top,X_32),complement(top)),join(zero,meet(top,X_32))) )],[refute_0_556,refute_0_557]) ).
cnf(refute_0_559,plain,
X_32 = join(zero,meet(top,X_32)),
inference(resolve,[$cnf( $equal(X_32,join(meet(top,X_32),complement(top))) )],[refute_0_548,refute_0_558]) ).
cnf(refute_0_560,plain,
( X_32 != join(zero,meet(top,X_32))
| join(zero,meet(top,X_32)) = X_32 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(X_32)),bind(Y,$fot(join(zero,meet(top,X_32))))]]) ).
cnf(refute_0_561,plain,
join(zero,meet(top,X_32)) = X_32,
inference(resolve,[$cnf( $equal(X_32,join(zero,meet(top,X_32))) )],[refute_0_559,refute_0_560]) ).
cnf(refute_0_562,plain,
join(zero,meet(top,X_33)) = X_33,
inference(subst,[],[refute_0_561:[bind(X_32,$fot(X_33))]]) ).
cnf(refute_0_563,plain,
meet(top,X_16) = join(meet(meet(top,X_16),join(zero,complement(X_16))),complement(join(join(zero,complement(X_16)),complement(meet(top,X_16))))),
inference(subst,[],[refute_0_33:[bind(X_32,$fot(meet(top,X_16))),bind(X_33,$fot(join(zero,complement(X_16))))]]) ).
cnf(refute_0_564,plain,
( meet(meet(top,X_16),join(zero,complement(X_16))) != zero
| meet(top,X_16) != join(meet(meet(top,X_16),join(zero,complement(X_16))),complement(join(join(zero,complement(X_16)),complement(meet(top,X_16)))))
| meet(top,X_16) = join(zero,complement(join(join(zero,complement(X_16)),complement(meet(top,X_16))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,X_16),join(meet(meet(top,X_16),join(zero,complement(X_16))),complement(join(join(zero,complement(X_16)),complement(meet(top,X_16)))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_565,plain,
( meet(top,X_16) != join(meet(meet(top,X_16),join(zero,complement(X_16))),complement(join(join(zero,complement(X_16)),complement(meet(top,X_16)))))
| meet(top,X_16) = join(zero,complement(join(join(zero,complement(X_16)),complement(meet(top,X_16))))) ),
inference(resolve,[$cnf( $equal(meet(meet(top,X_16),join(zero,complement(X_16))),zero) )],[refute_0_488,refute_0_564]) ).
cnf(refute_0_566,plain,
meet(top,X_16) = join(zero,complement(join(join(zero,complement(X_16)),complement(meet(top,X_16))))),
inference(resolve,[$cnf( $equal(meet(top,X_16),join(meet(meet(top,X_16),join(zero,complement(X_16))),complement(join(join(zero,complement(X_16)),complement(meet(top,X_16)))))) )],[refute_0_563,refute_0_565]) ).
cnf(refute_0_567,plain,
join(join(zero,complement(X_16)),complement(meet(top,X_16))) = join(zero,join(complement(X_16),complement(meet(top,X_16)))),
inference(subst,[],[refute_0_114:[bind(X0,$fot(zero)),bind(X1,$fot(complement(X_16))),bind(X2,$fot(complement(meet(top,X_16))))]]) ).
cnf(refute_0_568,plain,
complement(join(join(zero,complement(X_16)),complement(meet(top,X_16)))) = complement(join(join(zero,complement(X_16)),complement(meet(top,X_16)))),
introduced(tautology,[refl,[$fot(complement(join(join(zero,complement(X_16)),complement(meet(top,X_16)))))]]) ).
cnf(refute_0_569,plain,
( complement(join(join(zero,complement(X_16)),complement(meet(top,X_16)))) != complement(join(join(zero,complement(X_16)),complement(meet(top,X_16))))
| join(join(zero,complement(X_16)),complement(meet(top,X_16))) != join(zero,join(complement(X_16),complement(meet(top,X_16))))
| complement(join(join(zero,complement(X_16)),complement(meet(top,X_16)))) = complement(join(zero,join(complement(X_16),complement(meet(top,X_16))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(join(zero,complement(X_16)),complement(meet(top,X_16)))),complement(join(join(zero,complement(X_16)),complement(meet(top,X_16))))) ),[1,0],$fot(join(zero,join(complement(X_16),complement(meet(top,X_16)))))]]) ).
cnf(refute_0_570,plain,
( join(join(zero,complement(X_16)),complement(meet(top,X_16))) != join(zero,join(complement(X_16),complement(meet(top,X_16))))
| complement(join(join(zero,complement(X_16)),complement(meet(top,X_16)))) = complement(join(zero,join(complement(X_16),complement(meet(top,X_16))))) ),
inference(resolve,[$cnf( $equal(complement(join(join(zero,complement(X_16)),complement(meet(top,X_16)))),complement(join(join(zero,complement(X_16)),complement(meet(top,X_16))))) )],[refute_0_568,refute_0_569]) ).
cnf(refute_0_571,plain,
complement(join(join(zero,complement(X_16)),complement(meet(top,X_16)))) = complement(join(zero,join(complement(X_16),complement(meet(top,X_16))))),
inference(resolve,[$cnf( $equal(join(join(zero,complement(X_16)),complement(meet(top,X_16))),join(zero,join(complement(X_16),complement(meet(top,X_16))))) )],[refute_0_567,refute_0_570]) ).
cnf(refute_0_572,plain,
join(zero,complement(join(join(zero,complement(X_16)),complement(meet(top,X_16))))) = join(zero,complement(join(join(zero,complement(X_16)),complement(meet(top,X_16))))),
introduced(tautology,[refl,[$fot(join(zero,complement(join(join(zero,complement(X_16)),complement(meet(top,X_16))))))]]) ).
cnf(refute_0_573,plain,
( complement(join(join(zero,complement(X_16)),complement(meet(top,X_16)))) != complement(join(zero,join(complement(X_16),complement(meet(top,X_16)))))
| join(zero,complement(join(join(zero,complement(X_16)),complement(meet(top,X_16))))) != join(zero,complement(join(join(zero,complement(X_16)),complement(meet(top,X_16)))))
| join(zero,complement(join(join(zero,complement(X_16)),complement(meet(top,X_16))))) = join(zero,complement(join(zero,join(complement(X_16),complement(meet(top,X_16)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,complement(join(join(zero,complement(X_16)),complement(meet(top,X_16))))),join(zero,complement(join(join(zero,complement(X_16)),complement(meet(top,X_16)))))) ),[1,1],$fot(complement(join(zero,join(complement(X_16),complement(meet(top,X_16))))))]]) ).
cnf(refute_0_574,plain,
( complement(join(join(zero,complement(X_16)),complement(meet(top,X_16)))) != complement(join(zero,join(complement(X_16),complement(meet(top,X_16)))))
| join(zero,complement(join(join(zero,complement(X_16)),complement(meet(top,X_16))))) = join(zero,complement(join(zero,join(complement(X_16),complement(meet(top,X_16)))))) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(join(zero,complement(X_16)),complement(meet(top,X_16))))),join(zero,complement(join(join(zero,complement(X_16)),complement(meet(top,X_16)))))) )],[refute_0_572,refute_0_573]) ).
cnf(refute_0_575,plain,
join(zero,complement(join(join(zero,complement(X_16)),complement(meet(top,X_16))))) = join(zero,complement(join(zero,join(complement(X_16),complement(meet(top,X_16)))))),
inference(resolve,[$cnf( $equal(complement(join(join(zero,complement(X_16)),complement(meet(top,X_16)))),complement(join(zero,join(complement(X_16),complement(meet(top,X_16)))))) )],[refute_0_571,refute_0_574]) ).
cnf(refute_0_576,plain,
( join(zero,complement(join(join(zero,complement(X_16)),complement(meet(top,X_16))))) != join(zero,complement(join(zero,join(complement(X_16),complement(meet(top,X_16))))))
| meet(top,X_16) != join(zero,complement(join(join(zero,complement(X_16)),complement(meet(top,X_16)))))
| meet(top,X_16) = join(zero,complement(join(zero,join(complement(X_16),complement(meet(top,X_16)))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,X_16),join(zero,complement(join(join(zero,complement(X_16)),complement(meet(top,X_16)))))) ),[1],$fot(join(zero,complement(join(zero,join(complement(X_16),complement(meet(top,X_16)))))))]]) ).
cnf(refute_0_577,plain,
( meet(top,X_16) != join(zero,complement(join(join(zero,complement(X_16)),complement(meet(top,X_16)))))
| meet(top,X_16) = join(zero,complement(join(zero,join(complement(X_16),complement(meet(top,X_16)))))) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(join(zero,complement(X_16)),complement(meet(top,X_16))))),join(zero,complement(join(zero,join(complement(X_16),complement(meet(top,X_16))))))) )],[refute_0_575,refute_0_576]) ).
cnf(refute_0_578,plain,
meet(top,X_16) = join(zero,complement(join(zero,join(complement(X_16),complement(meet(top,X_16)))))),
inference(resolve,[$cnf( $equal(meet(top,X_16),join(zero,complement(join(join(zero,complement(X_16)),complement(meet(top,X_16)))))) )],[refute_0_566,refute_0_577]) ).
cnf(refute_0_579,plain,
meet(top,join(zero,complement(X_16))) = complement(join(zero,complement(join(zero,complement(X_16))))),
inference(subst,[],[refute_0_292:[bind(X1,$fot(join(zero,complement(X_16))))]]) ).
cnf(refute_0_580,plain,
( complement(join(zero,complement(X_16))) != meet(top,X_16)
| meet(top,join(zero,complement(X_16))) != complement(join(zero,complement(join(zero,complement(X_16)))))
| meet(top,join(zero,complement(X_16))) = complement(join(zero,meet(top,X_16))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,join(zero,complement(X_16))),complement(join(zero,complement(join(zero,complement(X_16)))))) ),[1,0,1],$fot(meet(top,X_16))]]) ).
cnf(refute_0_581,plain,
( meet(top,join(zero,complement(X_16))) != complement(join(zero,complement(join(zero,complement(X_16)))))
| meet(top,join(zero,complement(X_16))) = complement(join(zero,meet(top,X_16))) ),
inference(resolve,[$cnf( $equal(complement(join(zero,complement(X_16))),meet(top,X_16)) )],[refute_0_327,refute_0_580]) ).
cnf(refute_0_582,plain,
meet(top,join(zero,complement(X_16))) = complement(join(zero,meet(top,X_16))),
inference(resolve,[$cnf( $equal(meet(top,join(zero,complement(X_16))),complement(join(zero,complement(join(zero,complement(X_16)))))) )],[refute_0_579,refute_0_581]) ).
cnf(refute_0_583,plain,
meet(top,join(zero,complement(X_16))) = meet(top,complement(meet(top,X_16))),
inference(subst,[],[refute_0_344:[bind(X0,$fot(top))]]) ).
cnf(refute_0_584,plain,
( meet(top,join(zero,complement(X_16))) != complement(join(zero,meet(top,X_16)))
| meet(top,join(zero,complement(X_16))) != meet(top,complement(meet(top,X_16)))
| meet(top,complement(meet(top,X_16))) = complement(join(zero,meet(top,X_16))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,join(zero,complement(X_16))),complement(join(zero,meet(top,X_16)))) ),[0],$fot(meet(top,complement(meet(top,X_16))))]]) ).
cnf(refute_0_585,plain,
( meet(top,join(zero,complement(X_16))) != complement(join(zero,meet(top,X_16)))
| meet(top,complement(meet(top,X_16))) = complement(join(zero,meet(top,X_16))) ),
inference(resolve,[$cnf( $equal(meet(top,join(zero,complement(X_16))),meet(top,complement(meet(top,X_16)))) )],[refute_0_583,refute_0_584]) ).
cnf(refute_0_586,plain,
meet(top,complement(meet(top,X_16))) = complement(join(zero,meet(top,X_16))),
inference(resolve,[$cnf( $equal(meet(top,join(zero,complement(X_16))),complement(join(zero,meet(top,X_16)))) )],[refute_0_582,refute_0_585]) ).
cnf(refute_0_587,plain,
meet(top,complement(meet(top,meet(X_16,meet(top,X_16))))) = complement(join(zero,meet(top,meet(X_16,meet(top,X_16))))),
inference(subst,[],[refute_0_586:[bind(X_16,$fot(meet(X_16,meet(top,X_16))))]]) ).
cnf(refute_0_588,plain,
join(zero,complement(meet(X_16,meet(top,X_16)))) = complement(meet(top,meet(X_16,meet(top,X_16)))),
inference(subst,[],[refute_0_355:[bind(X1,$fot(meet(X_16,meet(top,X_16))))]]) ).
cnf(refute_0_589,plain,
join(complement(X_16),complement(meet(top,X_16))) = complement(meet(X_16,meet(top,X_16))),
inference(subst,[],[refute_0_228:[bind(X0,$fot(X_16)),bind(X1,$fot(meet(top,X_16)))]]) ).
cnf(refute_0_590,plain,
join(zero,join(complement(X_16),complement(meet(top,X_16)))) = join(zero,join(complement(X_16),complement(meet(top,X_16)))),
introduced(tautology,[refl,[$fot(join(zero,join(complement(X_16),complement(meet(top,X_16)))))]]) ).
cnf(refute_0_591,plain,
( join(complement(X_16),complement(meet(top,X_16))) != complement(meet(X_16,meet(top,X_16)))
| join(zero,join(complement(X_16),complement(meet(top,X_16)))) != join(zero,join(complement(X_16),complement(meet(top,X_16))))
| join(zero,join(complement(X_16),complement(meet(top,X_16)))) = join(zero,complement(meet(X_16,meet(top,X_16)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,join(complement(X_16),complement(meet(top,X_16)))),join(zero,join(complement(X_16),complement(meet(top,X_16))))) ),[1,1],$fot(complement(meet(X_16,meet(top,X_16))))]]) ).
cnf(refute_0_592,plain,
( join(complement(X_16),complement(meet(top,X_16))) != complement(meet(X_16,meet(top,X_16)))
| join(zero,join(complement(X_16),complement(meet(top,X_16)))) = join(zero,complement(meet(X_16,meet(top,X_16)))) ),
inference(resolve,[$cnf( $equal(join(zero,join(complement(X_16),complement(meet(top,X_16)))),join(zero,join(complement(X_16),complement(meet(top,X_16))))) )],[refute_0_590,refute_0_591]) ).
cnf(refute_0_593,plain,
join(zero,join(complement(X_16),complement(meet(top,X_16)))) = join(zero,complement(meet(X_16,meet(top,X_16)))),
inference(resolve,[$cnf( $equal(join(complement(X_16),complement(meet(top,X_16))),complement(meet(X_16,meet(top,X_16)))) )],[refute_0_589,refute_0_592]) ).
cnf(refute_0_594,plain,
( join(zero,complement(meet(X_16,meet(top,X_16)))) != complement(meet(top,meet(X_16,meet(top,X_16))))
| join(zero,join(complement(X_16),complement(meet(top,X_16)))) != join(zero,complement(meet(X_16,meet(top,X_16))))
| join(zero,join(complement(X_16),complement(meet(top,X_16)))) = complement(meet(top,meet(X_16,meet(top,X_16)))) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(join(zero,join(complement(X_16),complement(meet(top,X_16)))))),bind(Y,$fot(join(zero,complement(meet(X_16,meet(top,X_16)))))),bind(Z,$fot(complement(meet(top,meet(X_16,meet(top,X_16))))))]]) ).
cnf(refute_0_595,plain,
( join(zero,complement(meet(X_16,meet(top,X_16)))) != complement(meet(top,meet(X_16,meet(top,X_16))))
| join(zero,join(complement(X_16),complement(meet(top,X_16)))) = complement(meet(top,meet(X_16,meet(top,X_16)))) ),
inference(resolve,[$cnf( $equal(join(zero,join(complement(X_16),complement(meet(top,X_16)))),join(zero,complement(meet(X_16,meet(top,X_16))))) )],[refute_0_593,refute_0_594]) ).
cnf(refute_0_596,plain,
join(zero,join(complement(X_16),complement(meet(top,X_16)))) = complement(meet(top,meet(X_16,meet(top,X_16)))),
inference(resolve,[$cnf( $equal(join(zero,complement(meet(X_16,meet(top,X_16)))),complement(meet(top,meet(X_16,meet(top,X_16))))) )],[refute_0_588,refute_0_595]) ).
cnf(refute_0_597,plain,
meet(top,join(zero,join(complement(X_16),complement(meet(top,X_16))))) = meet(top,join(zero,join(complement(X_16),complement(meet(top,X_16))))),
introduced(tautology,[refl,[$fot(meet(top,join(zero,join(complement(X_16),complement(meet(top,X_16))))))]]) ).
cnf(refute_0_598,plain,
( join(zero,join(complement(X_16),complement(meet(top,X_16)))) != complement(meet(top,meet(X_16,meet(top,X_16))))
| meet(top,join(zero,join(complement(X_16),complement(meet(top,X_16))))) != meet(top,join(zero,join(complement(X_16),complement(meet(top,X_16)))))
| meet(top,join(zero,join(complement(X_16),complement(meet(top,X_16))))) = meet(top,complement(meet(top,meet(X_16,meet(top,X_16))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,join(zero,join(complement(X_16),complement(meet(top,X_16))))),meet(top,join(zero,join(complement(X_16),complement(meet(top,X_16)))))) ),[1,1],$fot(complement(meet(top,meet(X_16,meet(top,X_16)))))]]) ).
cnf(refute_0_599,plain,
( join(zero,join(complement(X_16),complement(meet(top,X_16)))) != complement(meet(top,meet(X_16,meet(top,X_16))))
| meet(top,join(zero,join(complement(X_16),complement(meet(top,X_16))))) = meet(top,complement(meet(top,meet(X_16,meet(top,X_16))))) ),
inference(resolve,[$cnf( $equal(meet(top,join(zero,join(complement(X_16),complement(meet(top,X_16))))),meet(top,join(zero,join(complement(X_16),complement(meet(top,X_16)))))) )],[refute_0_597,refute_0_598]) ).
cnf(refute_0_600,plain,
meet(top,join(zero,join(complement(X_16),complement(meet(top,X_16))))) = meet(top,complement(meet(top,meet(X_16,meet(top,X_16))))),
inference(resolve,[$cnf( $equal(join(zero,join(complement(X_16),complement(meet(top,X_16)))),complement(meet(top,meet(X_16,meet(top,X_16))))) )],[refute_0_596,refute_0_599]) ).
cnf(refute_0_601,plain,
( meet(top,complement(meet(top,meet(X_16,meet(top,X_16))))) != complement(join(zero,meet(top,meet(X_16,meet(top,X_16)))))
| meet(top,join(zero,join(complement(X_16),complement(meet(top,X_16))))) != meet(top,complement(meet(top,meet(X_16,meet(top,X_16)))))
| meet(top,join(zero,join(complement(X_16),complement(meet(top,X_16))))) = complement(join(zero,meet(top,meet(X_16,meet(top,X_16))))) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(meet(top,join(zero,join(complement(X_16),complement(meet(top,X_16))))))),bind(Y,$fot(meet(top,complement(meet(top,meet(X_16,meet(top,X_16))))))),bind(Z,$fot(complement(join(zero,meet(top,meet(X_16,meet(top,X_16)))))))]]) ).
cnf(refute_0_602,plain,
( meet(top,complement(meet(top,meet(X_16,meet(top,X_16))))) != complement(join(zero,meet(top,meet(X_16,meet(top,X_16)))))
| meet(top,join(zero,join(complement(X_16),complement(meet(top,X_16))))) = complement(join(zero,meet(top,meet(X_16,meet(top,X_16))))) ),
inference(resolve,[$cnf( $equal(meet(top,join(zero,join(complement(X_16),complement(meet(top,X_16))))),meet(top,complement(meet(top,meet(X_16,meet(top,X_16)))))) )],[refute_0_600,refute_0_601]) ).
cnf(refute_0_603,plain,
meet(top,join(zero,join(complement(X_16),complement(meet(top,X_16))))) = complement(join(zero,meet(top,meet(X_16,meet(top,X_16))))),
inference(resolve,[$cnf( $equal(meet(top,complement(meet(top,meet(X_16,meet(top,X_16))))),complement(join(zero,meet(top,meet(X_16,meet(top,X_16)))))) )],[refute_0_587,refute_0_602]) ).
cnf(refute_0_604,plain,
complement(meet(top,join(zero,join(complement(X_16),complement(meet(top,X_16)))))) = complement(meet(top,join(zero,join(complement(X_16),complement(meet(top,X_16)))))),
introduced(tautology,[refl,[$fot(complement(meet(top,join(zero,join(complement(X_16),complement(meet(top,X_16)))))))]]) ).
cnf(refute_0_605,plain,
( complement(meet(top,join(zero,join(complement(X_16),complement(meet(top,X_16)))))) != complement(meet(top,join(zero,join(complement(X_16),complement(meet(top,X_16))))))
| meet(top,join(zero,join(complement(X_16),complement(meet(top,X_16))))) != complement(join(zero,meet(top,meet(X_16,meet(top,X_16)))))
| complement(meet(top,join(zero,join(complement(X_16),complement(meet(top,X_16)))))) = complement(complement(join(zero,meet(top,meet(X_16,meet(top,X_16)))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(top,join(zero,join(complement(X_16),complement(meet(top,X_16)))))),complement(meet(top,join(zero,join(complement(X_16),complement(meet(top,X_16))))))) ),[1,0],$fot(complement(join(zero,meet(top,meet(X_16,meet(top,X_16))))))]]) ).
cnf(refute_0_606,plain,
( meet(top,join(zero,join(complement(X_16),complement(meet(top,X_16))))) != complement(join(zero,meet(top,meet(X_16,meet(top,X_16)))))
| complement(meet(top,join(zero,join(complement(X_16),complement(meet(top,X_16)))))) = complement(complement(join(zero,meet(top,meet(X_16,meet(top,X_16)))))) ),
inference(resolve,[$cnf( $equal(complement(meet(top,join(zero,join(complement(X_16),complement(meet(top,X_16)))))),complement(meet(top,join(zero,join(complement(X_16),complement(meet(top,X_16))))))) )],[refute_0_604,refute_0_605]) ).
cnf(refute_0_607,plain,
complement(meet(top,join(zero,join(complement(X_16),complement(meet(top,X_16)))))) = complement(complement(join(zero,meet(top,meet(X_16,meet(top,X_16)))))),
inference(resolve,[$cnf( $equal(meet(top,join(zero,join(complement(X_16),complement(meet(top,X_16))))),complement(join(zero,meet(top,meet(X_16,meet(top,X_16)))))) )],[refute_0_603,refute_0_606]) ).
cnf(refute_0_608,plain,
join(zero,complement(join(zero,join(complement(X_16),complement(meet(top,X_16)))))) = complement(meet(top,join(zero,join(complement(X_16),complement(meet(top,X_16)))))),
inference(subst,[],[refute_0_355:[bind(X1,$fot(join(zero,join(complement(X_16),complement(meet(top,X_16))))))]]) ).
cnf(refute_0_609,plain,
( complement(meet(top,join(zero,join(complement(X_16),complement(meet(top,X_16)))))) != complement(complement(join(zero,meet(top,meet(X_16,meet(top,X_16))))))
| join(zero,complement(join(zero,join(complement(X_16),complement(meet(top,X_16)))))) != complement(meet(top,join(zero,join(complement(X_16),complement(meet(top,X_16))))))
| join(zero,complement(join(zero,join(complement(X_16),complement(meet(top,X_16)))))) = complement(complement(join(zero,meet(top,meet(X_16,meet(top,X_16)))))) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(join(zero,complement(join(zero,join(complement(X_16),complement(meet(top,X_16)))))))),bind(Y,$fot(complement(meet(top,join(zero,join(complement(X_16),complement(meet(top,X_16)))))))),bind(Z,$fot(complement(complement(join(zero,meet(top,meet(X_16,meet(top,X_16))))))))]]) ).
cnf(refute_0_610,plain,
( complement(meet(top,join(zero,join(complement(X_16),complement(meet(top,X_16)))))) != complement(complement(join(zero,meet(top,meet(X_16,meet(top,X_16))))))
| join(zero,complement(join(zero,join(complement(X_16),complement(meet(top,X_16)))))) = complement(complement(join(zero,meet(top,meet(X_16,meet(top,X_16)))))) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(zero,join(complement(X_16),complement(meet(top,X_16)))))),complement(meet(top,join(zero,join(complement(X_16),complement(meet(top,X_16))))))) )],[refute_0_608,refute_0_609]) ).
cnf(refute_0_611,plain,
join(zero,complement(join(zero,join(complement(X_16),complement(meet(top,X_16)))))) = complement(complement(join(zero,meet(top,meet(X_16,meet(top,X_16)))))),
inference(resolve,[$cnf( $equal(complement(meet(top,join(zero,join(complement(X_16),complement(meet(top,X_16)))))),complement(complement(join(zero,meet(top,meet(X_16,meet(top,X_16))))))) )],[refute_0_607,refute_0_610]) ).
cnf(refute_0_612,plain,
( join(zero,complement(join(zero,join(complement(X_16),complement(meet(top,X_16)))))) != complement(complement(join(zero,meet(top,meet(X_16,meet(top,X_16))))))
| meet(top,X_16) != join(zero,complement(join(zero,join(complement(X_16),complement(meet(top,X_16))))))
| meet(top,X_16) = complement(complement(join(zero,meet(top,meet(X_16,meet(top,X_16)))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,X_16),join(zero,complement(join(zero,join(complement(X_16),complement(meet(top,X_16))))))) ),[1],$fot(complement(complement(join(zero,meet(top,meet(X_16,meet(top,X_16)))))))]]) ).
cnf(refute_0_613,plain,
( meet(top,X_16) != join(zero,complement(join(zero,join(complement(X_16),complement(meet(top,X_16))))))
| meet(top,X_16) = complement(complement(join(zero,meet(top,meet(X_16,meet(top,X_16)))))) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(zero,join(complement(X_16),complement(meet(top,X_16)))))),complement(complement(join(zero,meet(top,meet(X_16,meet(top,X_16))))))) )],[refute_0_611,refute_0_612]) ).
cnf(refute_0_614,plain,
meet(top,X_16) = complement(complement(join(zero,meet(top,meet(X_16,meet(top,X_16)))))),
inference(resolve,[$cnf( $equal(meet(top,X_16),join(zero,complement(join(zero,join(complement(X_16),complement(meet(top,X_16))))))) )],[refute_0_578,refute_0_613]) ).
cnf(refute_0_615,plain,
complement(join(complement(X0),complement(X1))) = complement(join(complement(X0),complement(X1))),
introduced(tautology,[refl,[$fot(complement(join(complement(X0),complement(X1))))]]) ).
cnf(refute_0_616,plain,
( complement(join(complement(X0),complement(X1))) != complement(join(complement(X0),complement(X1)))
| join(complement(X0),complement(X1)) != complement(meet(X0,X1))
| complement(join(complement(X0),complement(X1))) = complement(complement(meet(X0,X1))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),complement(X1)))) ),[1,0],$fot(complement(meet(X0,X1)))]]) ).
cnf(refute_0_617,plain,
( join(complement(X0),complement(X1)) != complement(meet(X0,X1))
| complement(join(complement(X0),complement(X1))) = complement(complement(meet(X0,X1))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),complement(X1)))) )],[refute_0_615,refute_0_616]) ).
cnf(refute_0_618,plain,
complement(join(complement(X0),complement(X1))) = complement(complement(meet(X0,X1))),
inference(resolve,[$cnf( $equal(join(complement(X0),complement(X1)),complement(meet(X0,X1))) )],[refute_0_228,refute_0_617]) ).
cnf(refute_0_619,plain,
( complement(join(complement(X0),complement(X1))) != complement(complement(meet(X0,X1)))
| meet(X0,X1) != complement(join(complement(X0),complement(X1)))
| meet(X0,X1) = complement(complement(meet(X0,X1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X0,X1),complement(join(complement(X0),complement(X1)))) ),[1],$fot(complement(complement(meet(X0,X1))))]]) ).
cnf(refute_0_620,plain,
( meet(X0,X1) != complement(join(complement(X0),complement(X1)))
| meet(X0,X1) = complement(complement(meet(X0,X1))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X0),complement(X1))),complement(complement(meet(X0,X1)))) )],[refute_0_618,refute_0_619]) ).
cnf(refute_0_621,plain,
meet(X0,X1) = complement(complement(meet(X0,X1))),
inference(resolve,[$cnf( $equal(meet(X0,X1),complement(join(complement(X0),complement(X1)))) )],[refute_0_12,refute_0_620]) ).
cnf(refute_0_622,plain,
( meet(X0,X1) != complement(complement(meet(X0,X1)))
| complement(complement(meet(X0,X1))) = meet(X0,X1) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(meet(X0,X1))),bind(Y,$fot(complement(complement(meet(X0,X1)))))]]) ).
cnf(refute_0_623,plain,
complement(complement(meet(X0,X1))) = meet(X0,X1),
inference(resolve,[$cnf( $equal(meet(X0,X1),complement(complement(meet(X0,X1)))) )],[refute_0_621,refute_0_622]) ).
cnf(refute_0_624,plain,
complement(complement(meet(X_16,meet(top,X_16)))) = meet(X_16,meet(top,X_16)),
inference(subst,[],[refute_0_623:[bind(X0,$fot(X_16)),bind(X1,$fot(meet(top,X_16)))]]) ).
cnf(refute_0_625,plain,
join(zero,meet(top,meet(X_16,meet(top,X_16)))) = meet(X_16,meet(top,X_16)),
inference(subst,[],[refute_0_561:[bind(X_32,$fot(meet(X_16,meet(top,X_16))))]]) ).
cnf(refute_0_626,plain,
complement(join(zero,meet(top,meet(X_16,meet(top,X_16))))) = complement(join(zero,meet(top,meet(X_16,meet(top,X_16))))),
introduced(tautology,[refl,[$fot(complement(join(zero,meet(top,meet(X_16,meet(top,X_16))))))]]) ).
cnf(refute_0_627,plain,
( complement(join(zero,meet(top,meet(X_16,meet(top,X_16))))) != complement(join(zero,meet(top,meet(X_16,meet(top,X_16)))))
| join(zero,meet(top,meet(X_16,meet(top,X_16)))) != meet(X_16,meet(top,X_16))
| complement(join(zero,meet(top,meet(X_16,meet(top,X_16))))) = complement(meet(X_16,meet(top,X_16))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(zero,meet(top,meet(X_16,meet(top,X_16))))),complement(join(zero,meet(top,meet(X_16,meet(top,X_16)))))) ),[1,0],$fot(meet(X_16,meet(top,X_16)))]]) ).
cnf(refute_0_628,plain,
( join(zero,meet(top,meet(X_16,meet(top,X_16)))) != meet(X_16,meet(top,X_16))
| complement(join(zero,meet(top,meet(X_16,meet(top,X_16))))) = complement(meet(X_16,meet(top,X_16))) ),
inference(resolve,[$cnf( $equal(complement(join(zero,meet(top,meet(X_16,meet(top,X_16))))),complement(join(zero,meet(top,meet(X_16,meet(top,X_16)))))) )],[refute_0_626,refute_0_627]) ).
cnf(refute_0_629,plain,
complement(join(zero,meet(top,meet(X_16,meet(top,X_16))))) = complement(meet(X_16,meet(top,X_16))),
inference(resolve,[$cnf( $equal(join(zero,meet(top,meet(X_16,meet(top,X_16)))),meet(X_16,meet(top,X_16))) )],[refute_0_625,refute_0_628]) ).
cnf(refute_0_630,plain,
complement(complement(join(zero,meet(top,meet(X_16,meet(top,X_16)))))) = complement(complement(join(zero,meet(top,meet(X_16,meet(top,X_16)))))),
introduced(tautology,[refl,[$fot(complement(complement(join(zero,meet(top,meet(X_16,meet(top,X_16)))))))]]) ).
cnf(refute_0_631,plain,
( complement(complement(join(zero,meet(top,meet(X_16,meet(top,X_16)))))) != complement(complement(join(zero,meet(top,meet(X_16,meet(top,X_16))))))
| complement(join(zero,meet(top,meet(X_16,meet(top,X_16))))) != complement(meet(X_16,meet(top,X_16)))
| complement(complement(join(zero,meet(top,meet(X_16,meet(top,X_16)))))) = complement(complement(meet(X_16,meet(top,X_16)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(join(zero,meet(top,meet(X_16,meet(top,X_16)))))),complement(complement(join(zero,meet(top,meet(X_16,meet(top,X_16))))))) ),[1,0],$fot(complement(meet(X_16,meet(top,X_16))))]]) ).
cnf(refute_0_632,plain,
( complement(join(zero,meet(top,meet(X_16,meet(top,X_16))))) != complement(meet(X_16,meet(top,X_16)))
| complement(complement(join(zero,meet(top,meet(X_16,meet(top,X_16)))))) = complement(complement(meet(X_16,meet(top,X_16)))) ),
inference(resolve,[$cnf( $equal(complement(complement(join(zero,meet(top,meet(X_16,meet(top,X_16)))))),complement(complement(join(zero,meet(top,meet(X_16,meet(top,X_16))))))) )],[refute_0_630,refute_0_631]) ).
cnf(refute_0_633,plain,
complement(complement(join(zero,meet(top,meet(X_16,meet(top,X_16)))))) = complement(complement(meet(X_16,meet(top,X_16)))),
inference(resolve,[$cnf( $equal(complement(join(zero,meet(top,meet(X_16,meet(top,X_16))))),complement(meet(X_16,meet(top,X_16)))) )],[refute_0_629,refute_0_632]) ).
cnf(refute_0_634,plain,
( complement(complement(join(zero,meet(top,meet(X_16,meet(top,X_16)))))) != complement(complement(meet(X_16,meet(top,X_16))))
| complement(complement(meet(X_16,meet(top,X_16)))) != meet(X_16,meet(top,X_16))
| complement(complement(join(zero,meet(top,meet(X_16,meet(top,X_16)))))) = meet(X_16,meet(top,X_16)) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(complement(complement(join(zero,meet(top,meet(X_16,meet(top,X_16)))))))),bind(Y,$fot(complement(complement(meet(X_16,meet(top,X_16)))))),bind(Z,$fot(meet(X_16,meet(top,X_16))))]]) ).
cnf(refute_0_635,plain,
( complement(complement(meet(X_16,meet(top,X_16)))) != meet(X_16,meet(top,X_16))
| complement(complement(join(zero,meet(top,meet(X_16,meet(top,X_16)))))) = meet(X_16,meet(top,X_16)) ),
inference(resolve,[$cnf( $equal(complement(complement(join(zero,meet(top,meet(X_16,meet(top,X_16)))))),complement(complement(meet(X_16,meet(top,X_16))))) )],[refute_0_633,refute_0_634]) ).
cnf(refute_0_636,plain,
complement(complement(join(zero,meet(top,meet(X_16,meet(top,X_16)))))) = meet(X_16,meet(top,X_16)),
inference(resolve,[$cnf( $equal(complement(complement(meet(X_16,meet(top,X_16)))),meet(X_16,meet(top,X_16))) )],[refute_0_624,refute_0_635]) ).
cnf(refute_0_637,plain,
( complement(complement(join(zero,meet(top,meet(X_16,meet(top,X_16)))))) != meet(X_16,meet(top,X_16))
| meet(top,X_16) != complement(complement(join(zero,meet(top,meet(X_16,meet(top,X_16))))))
| meet(top,X_16) = meet(X_16,meet(top,X_16)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,X_16),complement(complement(join(zero,meet(top,meet(X_16,meet(top,X_16))))))) ),[1],$fot(meet(X_16,meet(top,X_16)))]]) ).
cnf(refute_0_638,plain,
( meet(top,X_16) != complement(complement(join(zero,meet(top,meet(X_16,meet(top,X_16))))))
| meet(top,X_16) = meet(X_16,meet(top,X_16)) ),
inference(resolve,[$cnf( $equal(complement(complement(join(zero,meet(top,meet(X_16,meet(top,X_16)))))),meet(X_16,meet(top,X_16))) )],[refute_0_636,refute_0_637]) ).
cnf(refute_0_639,plain,
meet(top,X_16) = meet(X_16,meet(top,X_16)),
inference(resolve,[$cnf( $equal(meet(top,X_16),complement(complement(join(zero,meet(top,meet(X_16,meet(top,X_16))))))) )],[refute_0_614,refute_0_638]) ).
cnf(refute_0_640,plain,
( meet(top,X_16) != meet(X_16,meet(top,X_16))
| meet(X_16,meet(top,X_16)) = meet(top,X_16) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(meet(top,X_16))),bind(Y,$fot(meet(X_16,meet(top,X_16))))]]) ).
cnf(refute_0_641,plain,
meet(X_16,meet(top,X_16)) = meet(top,X_16),
inference(resolve,[$cnf( $equal(meet(top,X_16),meet(X_16,meet(top,X_16))) )],[refute_0_639,refute_0_640]) ).
cnf(refute_0_642,plain,
meet(X_33,meet(top,X_33)) = meet(top,X_33),
inference(subst,[],[refute_0_641:[bind(X_16,$fot(X_33))]]) ).
cnf(refute_0_643,plain,
join(zero,meet(X_33,meet(top,X_33))) = join(zero,meet(X_33,meet(top,X_33))),
introduced(tautology,[refl,[$fot(join(zero,meet(X_33,meet(top,X_33))))]]) ).
cnf(refute_0_644,plain,
( join(zero,meet(X_33,meet(top,X_33))) != join(zero,meet(X_33,meet(top,X_33)))
| meet(X_33,meet(top,X_33)) != meet(top,X_33)
| join(zero,meet(X_33,meet(top,X_33))) = join(zero,meet(top,X_33)) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(X_33,meet(top,X_33))),join(zero,meet(X_33,meet(top,X_33)))) ),[1,1],$fot(meet(top,X_33))]]) ).
cnf(refute_0_645,plain,
( meet(X_33,meet(top,X_33)) != meet(top,X_33)
| join(zero,meet(X_33,meet(top,X_33))) = join(zero,meet(top,X_33)) ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_33,meet(top,X_33))),join(zero,meet(X_33,meet(top,X_33)))) )],[refute_0_643,refute_0_644]) ).
cnf(refute_0_646,plain,
join(zero,meet(X_33,meet(top,X_33))) = join(zero,meet(top,X_33)),
inference(resolve,[$cnf( $equal(meet(X_33,meet(top,X_33)),meet(top,X_33)) )],[refute_0_642,refute_0_645]) ).
cnf(refute_0_647,plain,
( join(zero,meet(X_33,meet(top,X_33))) != join(zero,meet(top,X_33))
| join(zero,meet(top,X_33)) != X_33
| join(zero,meet(X_33,meet(top,X_33))) = X_33 ),
inference(subst,[],[refute_0_20:[bind(X,$fot(join(zero,meet(X_33,meet(top,X_33))))),bind(Y,$fot(join(zero,meet(top,X_33)))),bind(Z,$fot(X_33))]]) ).
cnf(refute_0_648,plain,
( join(zero,meet(top,X_33)) != X_33
| join(zero,meet(X_33,meet(top,X_33))) = X_33 ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_33,meet(top,X_33))),join(zero,meet(top,X_33))) )],[refute_0_646,refute_0_647]) ).
cnf(refute_0_649,plain,
join(zero,meet(X_33,meet(top,X_33))) = X_33,
inference(resolve,[$cnf( $equal(join(zero,meet(top,X_33)),X_33) )],[refute_0_562,refute_0_648]) ).
cnf(refute_0_650,plain,
( join(zero,meet(X_33,meet(top,X_33))) != X_33
| meet(top,X_33) != join(zero,meet(X_33,meet(top,X_33)))
| meet(top,X_33) = X_33 ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,X_33),join(zero,meet(X_33,meet(top,X_33)))) ),[1],$fot(X_33)]]) ).
cnf(refute_0_651,plain,
( meet(top,X_33) != join(zero,meet(X_33,meet(top,X_33)))
| meet(top,X_33) = X_33 ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_33,meet(top,X_33))),X_33) )],[refute_0_649,refute_0_650]) ).
cnf(refute_0_652,plain,
meet(top,X_33) = X_33,
inference(resolve,[$cnf( $equal(meet(top,X_33),join(zero,meet(X_33,meet(top,X_33)))) )],[refute_0_541,refute_0_651]) ).
cnf(refute_0_653,plain,
meet(top,X_16) = X_16,
inference(subst,[],[refute_0_652:[bind(X_33,$fot(X_16))]]) ).
cnf(refute_0_654,plain,
( meet(top,X_16) != X_16
| meet(top,X_16) != complement(meet(top,complement(meet(meet(top,X_16),meet(top,X_16)))))
| X_16 = complement(meet(top,complement(meet(meet(top,X_16),meet(top,X_16))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,X_16),complement(meet(top,complement(meet(meet(top,X_16),meet(top,X_16)))))) ),[0],$fot(X_16)]]) ).
cnf(refute_0_655,plain,
( meet(top,X_16) != complement(meet(top,complement(meet(meet(top,X_16),meet(top,X_16)))))
| X_16 = complement(meet(top,complement(meet(meet(top,X_16),meet(top,X_16))))) ),
inference(resolve,[$cnf( $equal(meet(top,X_16),X_16) )],[refute_0_653,refute_0_654]) ).
cnf(refute_0_656,plain,
complement(complement(meet(X_16,X_16))) = meet(X_16,X_16),
inference(subst,[],[refute_0_623:[bind(X0,$fot(X_16)),bind(X1,$fot(X_16))]]) ).
cnf(refute_0_657,plain,
meet(X_16,meet(top,X_16)) = meet(X_16,meet(top,X_16)),
introduced(tautology,[refl,[$fot(meet(X_16,meet(top,X_16)))]]) ).
cnf(refute_0_658,plain,
( meet(X_16,meet(top,X_16)) != meet(X_16,meet(top,X_16))
| meet(top,X_16) != X_16
| meet(X_16,meet(top,X_16)) = meet(X_16,X_16) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_16,meet(top,X_16)),meet(X_16,meet(top,X_16))) ),[1,1],$fot(X_16)]]) ).
cnf(refute_0_659,plain,
( meet(top,X_16) != X_16
| meet(X_16,meet(top,X_16)) = meet(X_16,X_16) ),
inference(resolve,[$cnf( $equal(meet(X_16,meet(top,X_16)),meet(X_16,meet(top,X_16))) )],[refute_0_657,refute_0_658]) ).
cnf(refute_0_660,plain,
meet(X_16,meet(top,X_16)) = meet(X_16,X_16),
inference(resolve,[$cnf( $equal(meet(top,X_16),X_16) )],[refute_0_653,refute_0_659]) ).
cnf(refute_0_661,plain,
meet(meet(top,X_16),meet(top,X_16)) = meet(meet(top,X_16),meet(top,X_16)),
introduced(tautology,[refl,[$fot(meet(meet(top,X_16),meet(top,X_16)))]]) ).
cnf(refute_0_662,plain,
( meet(meet(top,X_16),meet(top,X_16)) != meet(meet(top,X_16),meet(top,X_16))
| meet(top,X_16) != X_16
| meet(meet(top,X_16),meet(top,X_16)) = meet(X_16,meet(top,X_16)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(top,X_16),meet(top,X_16)),meet(meet(top,X_16),meet(top,X_16))) ),[1,0],$fot(X_16)]]) ).
cnf(refute_0_663,plain,
( meet(top,X_16) != X_16
| meet(meet(top,X_16),meet(top,X_16)) = meet(X_16,meet(top,X_16)) ),
inference(resolve,[$cnf( $equal(meet(meet(top,X_16),meet(top,X_16)),meet(meet(top,X_16),meet(top,X_16))) )],[refute_0_661,refute_0_662]) ).
cnf(refute_0_664,plain,
meet(meet(top,X_16),meet(top,X_16)) = meet(X_16,meet(top,X_16)),
inference(resolve,[$cnf( $equal(meet(top,X_16),X_16) )],[refute_0_653,refute_0_663]) ).
cnf(refute_0_665,plain,
( meet(X_16,meet(top,X_16)) != meet(X_16,X_16)
| meet(meet(top,X_16),meet(top,X_16)) != meet(X_16,meet(top,X_16))
| meet(meet(top,X_16),meet(top,X_16)) = meet(X_16,X_16) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(meet(meet(top,X_16),meet(top,X_16)))),bind(Y,$fot(meet(X_16,meet(top,X_16)))),bind(Z,$fot(meet(X_16,X_16)))]]) ).
cnf(refute_0_666,plain,
( meet(X_16,meet(top,X_16)) != meet(X_16,X_16)
| meet(meet(top,X_16),meet(top,X_16)) = meet(X_16,X_16) ),
inference(resolve,[$cnf( $equal(meet(meet(top,X_16),meet(top,X_16)),meet(X_16,meet(top,X_16))) )],[refute_0_664,refute_0_665]) ).
cnf(refute_0_667,plain,
meet(meet(top,X_16),meet(top,X_16)) = meet(X_16,X_16),
inference(resolve,[$cnf( $equal(meet(X_16,meet(top,X_16)),meet(X_16,X_16)) )],[refute_0_660,refute_0_666]) ).
cnf(refute_0_668,plain,
complement(meet(meet(top,X_16),meet(top,X_16))) = complement(meet(meet(top,X_16),meet(top,X_16))),
introduced(tautology,[refl,[$fot(complement(meet(meet(top,X_16),meet(top,X_16))))]]) ).
cnf(refute_0_669,plain,
( complement(meet(meet(top,X_16),meet(top,X_16))) != complement(meet(meet(top,X_16),meet(top,X_16)))
| meet(meet(top,X_16),meet(top,X_16)) != meet(X_16,X_16)
| complement(meet(meet(top,X_16),meet(top,X_16))) = complement(meet(X_16,X_16)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(meet(top,X_16),meet(top,X_16))),complement(meet(meet(top,X_16),meet(top,X_16)))) ),[1,0],$fot(meet(X_16,X_16))]]) ).
cnf(refute_0_670,plain,
( meet(meet(top,X_16),meet(top,X_16)) != meet(X_16,X_16)
| complement(meet(meet(top,X_16),meet(top,X_16))) = complement(meet(X_16,X_16)) ),
inference(resolve,[$cnf( $equal(complement(meet(meet(top,X_16),meet(top,X_16))),complement(meet(meet(top,X_16),meet(top,X_16)))) )],[refute_0_668,refute_0_669]) ).
cnf(refute_0_671,plain,
complement(meet(meet(top,X_16),meet(top,X_16))) = complement(meet(X_16,X_16)),
inference(resolve,[$cnf( $equal(meet(meet(top,X_16),meet(top,X_16)),meet(X_16,X_16)) )],[refute_0_667,refute_0_670]) ).
cnf(refute_0_672,plain,
meet(top,complement(meet(meet(top,X_16),meet(top,X_16)))) = complement(meet(meet(top,X_16),meet(top,X_16))),
inference(subst,[],[refute_0_652:[bind(X_33,$fot(complement(meet(meet(top,X_16),meet(top,X_16)))))]]) ).
cnf(refute_0_673,plain,
( complement(meet(meet(top,X_16),meet(top,X_16))) != complement(meet(X_16,X_16))
| meet(top,complement(meet(meet(top,X_16),meet(top,X_16)))) != complement(meet(meet(top,X_16),meet(top,X_16)))
| meet(top,complement(meet(meet(top,X_16),meet(top,X_16)))) = complement(meet(X_16,X_16)) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(meet(top,complement(meet(meet(top,X_16),meet(top,X_16)))))),bind(Y,$fot(complement(meet(meet(top,X_16),meet(top,X_16))))),bind(Z,$fot(complement(meet(X_16,X_16))))]]) ).
cnf(refute_0_674,plain,
( complement(meet(meet(top,X_16),meet(top,X_16))) != complement(meet(X_16,X_16))
| meet(top,complement(meet(meet(top,X_16),meet(top,X_16)))) = complement(meet(X_16,X_16)) ),
inference(resolve,[$cnf( $equal(meet(top,complement(meet(meet(top,X_16),meet(top,X_16)))),complement(meet(meet(top,X_16),meet(top,X_16)))) )],[refute_0_672,refute_0_673]) ).
cnf(refute_0_675,plain,
meet(top,complement(meet(meet(top,X_16),meet(top,X_16)))) = complement(meet(X_16,X_16)),
inference(resolve,[$cnf( $equal(complement(meet(meet(top,X_16),meet(top,X_16))),complement(meet(X_16,X_16))) )],[refute_0_671,refute_0_674]) ).
cnf(refute_0_676,plain,
complement(meet(top,complement(meet(meet(top,X_16),meet(top,X_16))))) = complement(meet(top,complement(meet(meet(top,X_16),meet(top,X_16))))),
introduced(tautology,[refl,[$fot(complement(meet(top,complement(meet(meet(top,X_16),meet(top,X_16))))))]]) ).
cnf(refute_0_677,plain,
( complement(meet(top,complement(meet(meet(top,X_16),meet(top,X_16))))) != complement(meet(top,complement(meet(meet(top,X_16),meet(top,X_16)))))
| meet(top,complement(meet(meet(top,X_16),meet(top,X_16)))) != complement(meet(X_16,X_16))
| complement(meet(top,complement(meet(meet(top,X_16),meet(top,X_16))))) = complement(complement(meet(X_16,X_16))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(top,complement(meet(meet(top,X_16),meet(top,X_16))))),complement(meet(top,complement(meet(meet(top,X_16),meet(top,X_16)))))) ),[1,0],$fot(complement(meet(X_16,X_16)))]]) ).
cnf(refute_0_678,plain,
( meet(top,complement(meet(meet(top,X_16),meet(top,X_16)))) != complement(meet(X_16,X_16))
| complement(meet(top,complement(meet(meet(top,X_16),meet(top,X_16))))) = complement(complement(meet(X_16,X_16))) ),
inference(resolve,[$cnf( $equal(complement(meet(top,complement(meet(meet(top,X_16),meet(top,X_16))))),complement(meet(top,complement(meet(meet(top,X_16),meet(top,X_16)))))) )],[refute_0_676,refute_0_677]) ).
cnf(refute_0_679,plain,
complement(meet(top,complement(meet(meet(top,X_16),meet(top,X_16))))) = complement(complement(meet(X_16,X_16))),
inference(resolve,[$cnf( $equal(meet(top,complement(meet(meet(top,X_16),meet(top,X_16)))),complement(meet(X_16,X_16))) )],[refute_0_675,refute_0_678]) ).
cnf(refute_0_680,plain,
( complement(complement(meet(X_16,X_16))) != meet(X_16,X_16)
| complement(meet(top,complement(meet(meet(top,X_16),meet(top,X_16))))) != complement(complement(meet(X_16,X_16)))
| complement(meet(top,complement(meet(meet(top,X_16),meet(top,X_16))))) = meet(X_16,X_16) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(complement(meet(top,complement(meet(meet(top,X_16),meet(top,X_16))))))),bind(Y,$fot(complement(complement(meet(X_16,X_16))))),bind(Z,$fot(meet(X_16,X_16)))]]) ).
cnf(refute_0_681,plain,
( complement(complement(meet(X_16,X_16))) != meet(X_16,X_16)
| complement(meet(top,complement(meet(meet(top,X_16),meet(top,X_16))))) = meet(X_16,X_16) ),
inference(resolve,[$cnf( $equal(complement(meet(top,complement(meet(meet(top,X_16),meet(top,X_16))))),complement(complement(meet(X_16,X_16)))) )],[refute_0_679,refute_0_680]) ).
cnf(refute_0_682,plain,
complement(meet(top,complement(meet(meet(top,X_16),meet(top,X_16))))) = meet(X_16,X_16),
inference(resolve,[$cnf( $equal(complement(complement(meet(X_16,X_16))),meet(X_16,X_16)) )],[refute_0_656,refute_0_681]) ).
cnf(refute_0_683,plain,
( X_16 != complement(meet(top,complement(meet(meet(top,X_16),meet(top,X_16)))))
| complement(meet(top,complement(meet(meet(top,X_16),meet(top,X_16))))) != meet(X_16,X_16)
| X_16 = meet(X_16,X_16) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_16,meet(X_16,X_16)) ),[0],$fot(complement(meet(top,complement(meet(meet(top,X_16),meet(top,X_16))))))]]) ).
cnf(refute_0_684,plain,
( X_16 != complement(meet(top,complement(meet(meet(top,X_16),meet(top,X_16)))))
| X_16 = meet(X_16,X_16) ),
inference(resolve,[$cnf( $equal(complement(meet(top,complement(meet(meet(top,X_16),meet(top,X_16))))),meet(X_16,X_16)) )],[refute_0_682,refute_0_683]) ).
cnf(refute_0_685,plain,
( meet(top,X_16) != complement(meet(top,complement(meet(meet(top,X_16),meet(top,X_16)))))
| X_16 = meet(X_16,X_16) ),
inference(resolve,[$cnf( $equal(X_16,complement(meet(top,complement(meet(meet(top,X_16),meet(top,X_16)))))) )],[refute_0_655,refute_0_684]) ).
cnf(refute_0_686,plain,
X_16 = meet(X_16,X_16),
inference(resolve,[$cnf( $equal(meet(top,X_16),complement(meet(top,complement(meet(meet(top,X_16),meet(top,X_16)))))) )],[refute_0_515,refute_0_685]) ).
cnf(refute_0_687,plain,
( X_16 != meet(X_16,X_16)
| meet(X_16,X_16) = X_16 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(X_16)),bind(Y,$fot(meet(X_16,X_16)))]]) ).
cnf(refute_0_688,plain,
meet(X_16,X_16) = X_16,
inference(resolve,[$cnf( $equal(X_16,meet(X_16,X_16)) )],[refute_0_686,refute_0_687]) ).
cnf(refute_0_689,plain,
meet(X_32,X_32) = X_32,
inference(subst,[],[refute_0_688:[bind(X_16,$fot(X_32))]]) ).
cnf(refute_0_690,plain,
join(zero,meet(X_32,X_32)) = join(zero,meet(X_32,X_32)),
introduced(tautology,[refl,[$fot(join(zero,meet(X_32,X_32)))]]) ).
cnf(refute_0_691,plain,
( join(zero,meet(X_32,X_32)) != join(zero,meet(X_32,X_32))
| meet(X_32,X_32) != X_32
| join(zero,meet(X_32,X_32)) = join(zero,X_32) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(X_32,X_32)),join(zero,meet(X_32,X_32))) ),[1,1],$fot(X_32)]]) ).
cnf(refute_0_692,plain,
( meet(X_32,X_32) != X_32
| join(zero,meet(X_32,X_32)) = join(zero,X_32) ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_32,X_32)),join(zero,meet(X_32,X_32))) )],[refute_0_690,refute_0_691]) ).
cnf(refute_0_693,plain,
join(zero,meet(X_32,X_32)) = join(zero,X_32),
inference(resolve,[$cnf( $equal(meet(X_32,X_32),X_32) )],[refute_0_689,refute_0_692]) ).
cnf(refute_0_694,plain,
( X_32 != join(zero,meet(X_32,X_32))
| join(zero,meet(X_32,X_32)) != join(zero,X_32)
| X_32 = join(zero,X_32) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_32,join(zero,X_32)) ),[0],$fot(join(zero,meet(X_32,X_32)))]]) ).
cnf(refute_0_695,plain,
( X_32 != join(zero,meet(X_32,X_32))
| X_32 = join(zero,X_32) ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_32,X_32)),join(zero,X_32)) )],[refute_0_693,refute_0_694]) ).
cnf(refute_0_696,plain,
X_32 = join(zero,X_32),
inference(resolve,[$cnf( $equal(X_32,join(zero,meet(X_32,X_32))) )],[refute_0_320,refute_0_695]) ).
cnf(refute_0_697,plain,
( X_32 != join(zero,X_32)
| join(zero,X_32) = X_32 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(X_32)),bind(Y,$fot(join(zero,X_32)))]]) ).
cnf(refute_0_698,plain,
join(zero,X_32) = X_32,
inference(resolve,[$cnf( $equal(X_32,join(zero,X_32)) )],[refute_0_696,refute_0_697]) ).
cnf(refute_0_699,plain,
join(zero,meet(X_32,join(X_32,X_84))) = meet(X_32,join(X_32,X_84)),
inference(subst,[],[refute_0_698:[bind(X_32,$fot(meet(X_32,join(X_32,X_84))))]]) ).
cnf(refute_0_700,plain,
meet(top,complement(meet(top,complement(meet(top,X_64))))) = complement(join(zero,meet(top,complement(meet(top,X_64))))),
inference(subst,[],[refute_0_586:[bind(X_16,$fot(complement(meet(top,X_64))))]]) ).
cnf(refute_0_701,plain,
meet(top,complement(meet(top,X_64))) = complement(join(zero,meet(top,X_64))),
inference(subst,[],[refute_0_586:[bind(X_16,$fot(X_64))]]) ).
cnf(refute_0_702,plain,
( meet(top,complement(meet(top,X_64))) != complement(join(zero,meet(top,X_64)))
| meet(top,complement(meet(top,complement(meet(top,X_64))))) != complement(join(zero,meet(top,complement(meet(top,X_64)))))
| meet(top,complement(complement(join(zero,meet(top,X_64))))) = complement(join(zero,meet(top,complement(meet(top,X_64))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,complement(meet(top,complement(meet(top,X_64))))),complement(join(zero,meet(top,complement(meet(top,X_64)))))) ),[0,1,0],$fot(complement(join(zero,meet(top,X_64))))]]) ).
cnf(refute_0_703,plain,
( meet(top,complement(meet(top,complement(meet(top,X_64))))) != complement(join(zero,meet(top,complement(meet(top,X_64)))))
| meet(top,complement(complement(join(zero,meet(top,X_64))))) = complement(join(zero,meet(top,complement(meet(top,X_64))))) ),
inference(resolve,[$cnf( $equal(meet(top,complement(meet(top,X_64))),complement(join(zero,meet(top,X_64)))) )],[refute_0_701,refute_0_702]) ).
cnf(refute_0_704,plain,
meet(top,complement(complement(join(zero,meet(top,X_64))))) = complement(join(zero,meet(top,complement(meet(top,X_64))))),
inference(resolve,[$cnf( $equal(meet(top,complement(meet(top,complement(meet(top,X_64))))),complement(join(zero,meet(top,complement(meet(top,X_64)))))) )],[refute_0_700,refute_0_703]) ).
cnf(refute_0_705,plain,
complement(complement(meet(top,join(zero,meet(top,X_64))))) = meet(top,join(zero,meet(top,X_64))),
inference(subst,[],[refute_0_623:[bind(X0,$fot(top)),bind(X1,$fot(join(zero,meet(top,X_64))))]]) ).
cnf(refute_0_706,plain,
join(zero,complement(join(zero,meet(top,X_64)))) = complement(meet(top,join(zero,meet(top,X_64)))),
inference(subst,[],[refute_0_355:[bind(X1,$fot(join(zero,meet(top,X_64))))]]) ).
cnf(refute_0_707,plain,
join(zero,meet(top,complement(meet(top,X_64)))) = join(zero,meet(top,complement(meet(top,X_64)))),
introduced(tautology,[refl,[$fot(join(zero,meet(top,complement(meet(top,X_64)))))]]) ).
cnf(refute_0_708,plain,
( join(zero,meet(top,complement(meet(top,X_64)))) != join(zero,meet(top,complement(meet(top,X_64))))
| meet(top,complement(meet(top,X_64))) != complement(join(zero,meet(top,X_64)))
| join(zero,meet(top,complement(meet(top,X_64)))) = join(zero,complement(join(zero,meet(top,X_64)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(top,complement(meet(top,X_64)))),join(zero,meet(top,complement(meet(top,X_64))))) ),[1,1],$fot(complement(join(zero,meet(top,X_64))))]]) ).
cnf(refute_0_709,plain,
( meet(top,complement(meet(top,X_64))) != complement(join(zero,meet(top,X_64)))
| join(zero,meet(top,complement(meet(top,X_64)))) = join(zero,complement(join(zero,meet(top,X_64)))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(top,complement(meet(top,X_64)))),join(zero,meet(top,complement(meet(top,X_64))))) )],[refute_0_707,refute_0_708]) ).
cnf(refute_0_710,plain,
join(zero,meet(top,complement(meet(top,X_64)))) = join(zero,complement(join(zero,meet(top,X_64)))),
inference(resolve,[$cnf( $equal(meet(top,complement(meet(top,X_64))),complement(join(zero,meet(top,X_64)))) )],[refute_0_701,refute_0_709]) ).
cnf(refute_0_711,plain,
( join(zero,complement(join(zero,meet(top,X_64)))) != complement(meet(top,join(zero,meet(top,X_64))))
| join(zero,meet(top,complement(meet(top,X_64)))) != join(zero,complement(join(zero,meet(top,X_64))))
| join(zero,meet(top,complement(meet(top,X_64)))) = complement(meet(top,join(zero,meet(top,X_64)))) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(join(zero,meet(top,complement(meet(top,X_64)))))),bind(Y,$fot(join(zero,complement(join(zero,meet(top,X_64)))))),bind(Z,$fot(complement(meet(top,join(zero,meet(top,X_64))))))]]) ).
cnf(refute_0_712,plain,
( join(zero,complement(join(zero,meet(top,X_64)))) != complement(meet(top,join(zero,meet(top,X_64))))
| join(zero,meet(top,complement(meet(top,X_64)))) = complement(meet(top,join(zero,meet(top,X_64)))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(top,complement(meet(top,X_64)))),join(zero,complement(join(zero,meet(top,X_64))))) )],[refute_0_710,refute_0_711]) ).
cnf(refute_0_713,plain,
join(zero,meet(top,complement(meet(top,X_64)))) = complement(meet(top,join(zero,meet(top,X_64)))),
inference(resolve,[$cnf( $equal(join(zero,complement(join(zero,meet(top,X_64)))),complement(meet(top,join(zero,meet(top,X_64))))) )],[refute_0_706,refute_0_712]) ).
cnf(refute_0_714,plain,
complement(join(zero,meet(top,complement(meet(top,X_64))))) = complement(join(zero,meet(top,complement(meet(top,X_64))))),
introduced(tautology,[refl,[$fot(complement(join(zero,meet(top,complement(meet(top,X_64))))))]]) ).
cnf(refute_0_715,plain,
( complement(join(zero,meet(top,complement(meet(top,X_64))))) != complement(join(zero,meet(top,complement(meet(top,X_64)))))
| join(zero,meet(top,complement(meet(top,X_64)))) != complement(meet(top,join(zero,meet(top,X_64))))
| complement(join(zero,meet(top,complement(meet(top,X_64))))) = complement(complement(meet(top,join(zero,meet(top,X_64))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(zero,meet(top,complement(meet(top,X_64))))),complement(join(zero,meet(top,complement(meet(top,X_64)))))) ),[1,0],$fot(complement(meet(top,join(zero,meet(top,X_64)))))]]) ).
cnf(refute_0_716,plain,
( join(zero,meet(top,complement(meet(top,X_64)))) != complement(meet(top,join(zero,meet(top,X_64))))
| complement(join(zero,meet(top,complement(meet(top,X_64))))) = complement(complement(meet(top,join(zero,meet(top,X_64))))) ),
inference(resolve,[$cnf( $equal(complement(join(zero,meet(top,complement(meet(top,X_64))))),complement(join(zero,meet(top,complement(meet(top,X_64)))))) )],[refute_0_714,refute_0_715]) ).
cnf(refute_0_717,plain,
complement(join(zero,meet(top,complement(meet(top,X_64))))) = complement(complement(meet(top,join(zero,meet(top,X_64))))),
inference(resolve,[$cnf( $equal(join(zero,meet(top,complement(meet(top,X_64)))),complement(meet(top,join(zero,meet(top,X_64))))) )],[refute_0_713,refute_0_716]) ).
cnf(refute_0_718,plain,
( complement(complement(meet(top,join(zero,meet(top,X_64))))) != meet(top,join(zero,meet(top,X_64)))
| complement(join(zero,meet(top,complement(meet(top,X_64))))) != complement(complement(meet(top,join(zero,meet(top,X_64)))))
| complement(join(zero,meet(top,complement(meet(top,X_64))))) = meet(top,join(zero,meet(top,X_64))) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(complement(join(zero,meet(top,complement(meet(top,X_64))))))),bind(Y,$fot(complement(complement(meet(top,join(zero,meet(top,X_64))))))),bind(Z,$fot(meet(top,join(zero,meet(top,X_64)))))]]) ).
cnf(refute_0_719,plain,
( complement(complement(meet(top,join(zero,meet(top,X_64))))) != meet(top,join(zero,meet(top,X_64)))
| complement(join(zero,meet(top,complement(meet(top,X_64))))) = meet(top,join(zero,meet(top,X_64))) ),
inference(resolve,[$cnf( $equal(complement(join(zero,meet(top,complement(meet(top,X_64))))),complement(complement(meet(top,join(zero,meet(top,X_64)))))) )],[refute_0_717,refute_0_718]) ).
cnf(refute_0_720,plain,
complement(join(zero,meet(top,complement(meet(top,X_64))))) = meet(top,join(zero,meet(top,X_64))),
inference(resolve,[$cnf( $equal(complement(complement(meet(top,join(zero,meet(top,X_64))))),meet(top,join(zero,meet(top,X_64)))) )],[refute_0_705,refute_0_719]) ).
cnf(refute_0_721,plain,
( complement(join(zero,meet(top,complement(meet(top,X_64))))) != meet(top,join(zero,meet(top,X_64)))
| meet(top,complement(complement(join(zero,meet(top,X_64))))) != complement(join(zero,meet(top,complement(meet(top,X_64)))))
| meet(top,complement(complement(join(zero,meet(top,X_64))))) = meet(top,join(zero,meet(top,X_64))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,complement(complement(join(zero,meet(top,X_64))))),complement(join(zero,meet(top,complement(meet(top,X_64)))))) ),[1],$fot(meet(top,join(zero,meet(top,X_64))))]]) ).
cnf(refute_0_722,plain,
( meet(top,complement(complement(join(zero,meet(top,X_64))))) != complement(join(zero,meet(top,complement(meet(top,X_64)))))
| meet(top,complement(complement(join(zero,meet(top,X_64))))) = meet(top,join(zero,meet(top,X_64))) ),
inference(resolve,[$cnf( $equal(complement(join(zero,meet(top,complement(meet(top,X_64))))),meet(top,join(zero,meet(top,X_64)))) )],[refute_0_720,refute_0_721]) ).
cnf(refute_0_723,plain,
meet(top,complement(complement(join(zero,meet(top,X_64))))) = meet(top,join(zero,meet(top,X_64))),
inference(resolve,[$cnf( $equal(meet(top,complement(complement(join(zero,meet(top,X_64))))),complement(join(zero,meet(top,complement(meet(top,X_64)))))) )],[refute_0_704,refute_0_722]) ).
cnf(refute_0_724,plain,
join(zero,meet(top,X_64)) = X_64,
inference(subst,[],[refute_0_561:[bind(X_32,$fot(X_64))]]) ).
cnf(refute_0_725,plain,
complement(join(zero,meet(top,X_64))) = complement(join(zero,meet(top,X_64))),
introduced(tautology,[refl,[$fot(complement(join(zero,meet(top,X_64))))]]) ).
cnf(refute_0_726,plain,
( complement(join(zero,meet(top,X_64))) != complement(join(zero,meet(top,X_64)))
| join(zero,meet(top,X_64)) != X_64
| complement(join(zero,meet(top,X_64))) = complement(X_64) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(zero,meet(top,X_64))),complement(join(zero,meet(top,X_64)))) ),[1,0],$fot(X_64)]]) ).
cnf(refute_0_727,plain,
( join(zero,meet(top,X_64)) != X_64
| complement(join(zero,meet(top,X_64))) = complement(X_64) ),
inference(resolve,[$cnf( $equal(complement(join(zero,meet(top,X_64))),complement(join(zero,meet(top,X_64)))) )],[refute_0_725,refute_0_726]) ).
cnf(refute_0_728,plain,
complement(join(zero,meet(top,X_64))) = complement(X_64),
inference(resolve,[$cnf( $equal(join(zero,meet(top,X_64)),X_64) )],[refute_0_724,refute_0_727]) ).
cnf(refute_0_729,plain,
complement(complement(join(zero,meet(top,X_64)))) = complement(complement(join(zero,meet(top,X_64)))),
introduced(tautology,[refl,[$fot(complement(complement(join(zero,meet(top,X_64)))))]]) ).
cnf(refute_0_730,plain,
( complement(complement(join(zero,meet(top,X_64)))) != complement(complement(join(zero,meet(top,X_64))))
| complement(join(zero,meet(top,X_64))) != complement(X_64)
| complement(complement(join(zero,meet(top,X_64)))) = complement(complement(X_64)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(join(zero,meet(top,X_64)))),complement(complement(join(zero,meet(top,X_64))))) ),[1,0],$fot(complement(X_64))]]) ).
cnf(refute_0_731,plain,
( complement(join(zero,meet(top,X_64))) != complement(X_64)
| complement(complement(join(zero,meet(top,X_64)))) = complement(complement(X_64)) ),
inference(resolve,[$cnf( $equal(complement(complement(join(zero,meet(top,X_64)))),complement(complement(join(zero,meet(top,X_64))))) )],[refute_0_729,refute_0_730]) ).
cnf(refute_0_732,plain,
complement(complement(join(zero,meet(top,X_64)))) = complement(complement(X_64)),
inference(resolve,[$cnf( $equal(complement(join(zero,meet(top,X_64))),complement(X_64)) )],[refute_0_728,refute_0_731]) ).
cnf(refute_0_733,plain,
meet(top,complement(complement(join(zero,meet(top,X_64))))) = meet(top,complement(complement(join(zero,meet(top,X_64))))),
introduced(tautology,[refl,[$fot(meet(top,complement(complement(join(zero,meet(top,X_64))))))]]) ).
cnf(refute_0_734,plain,
( complement(complement(join(zero,meet(top,X_64)))) != complement(complement(X_64))
| meet(top,complement(complement(join(zero,meet(top,X_64))))) != meet(top,complement(complement(join(zero,meet(top,X_64)))))
| meet(top,complement(complement(join(zero,meet(top,X_64))))) = meet(top,complement(complement(X_64))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,complement(complement(join(zero,meet(top,X_64))))),meet(top,complement(complement(join(zero,meet(top,X_64)))))) ),[1,1],$fot(complement(complement(X_64)))]]) ).
cnf(refute_0_735,plain,
( complement(complement(join(zero,meet(top,X_64)))) != complement(complement(X_64))
| meet(top,complement(complement(join(zero,meet(top,X_64))))) = meet(top,complement(complement(X_64))) ),
inference(resolve,[$cnf( $equal(meet(top,complement(complement(join(zero,meet(top,X_64))))),meet(top,complement(complement(join(zero,meet(top,X_64)))))) )],[refute_0_733,refute_0_734]) ).
cnf(refute_0_736,plain,
meet(top,complement(complement(join(zero,meet(top,X_64))))) = meet(top,complement(complement(X_64))),
inference(resolve,[$cnf( $equal(complement(complement(join(zero,meet(top,X_64)))),complement(complement(X_64))) )],[refute_0_732,refute_0_735]) ).
cnf(refute_0_737,plain,
( meet(top,complement(complement(join(zero,meet(top,X_64))))) != meet(top,complement(complement(X_64)))
| meet(top,complement(complement(join(zero,meet(top,X_64))))) != meet(top,join(zero,meet(top,X_64)))
| meet(top,complement(complement(X_64))) = meet(top,join(zero,meet(top,X_64))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,complement(complement(join(zero,meet(top,X_64))))),meet(top,join(zero,meet(top,X_64)))) ),[0],$fot(meet(top,complement(complement(X_64))))]]) ).
cnf(refute_0_738,plain,
( meet(top,complement(complement(join(zero,meet(top,X_64))))) != meet(top,join(zero,meet(top,X_64)))
| meet(top,complement(complement(X_64))) = meet(top,join(zero,meet(top,X_64))) ),
inference(resolve,[$cnf( $equal(meet(top,complement(complement(join(zero,meet(top,X_64))))),meet(top,complement(complement(X_64)))) )],[refute_0_736,refute_0_737]) ).
cnf(refute_0_739,plain,
meet(top,join(zero,meet(top,X_64))) = meet(top,join(zero,meet(top,X_64))),
introduced(tautology,[refl,[$fot(meet(top,join(zero,meet(top,X_64))))]]) ).
cnf(refute_0_740,plain,
( join(zero,meet(top,X_64)) != X_64
| meet(top,join(zero,meet(top,X_64))) != meet(top,join(zero,meet(top,X_64)))
| meet(top,join(zero,meet(top,X_64))) = meet(top,X_64) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,join(zero,meet(top,X_64))),meet(top,join(zero,meet(top,X_64)))) ),[1,1],$fot(X_64)]]) ).
cnf(refute_0_741,plain,
( join(zero,meet(top,X_64)) != X_64
| meet(top,join(zero,meet(top,X_64))) = meet(top,X_64) ),
inference(resolve,[$cnf( $equal(meet(top,join(zero,meet(top,X_64))),meet(top,join(zero,meet(top,X_64)))) )],[refute_0_739,refute_0_740]) ).
cnf(refute_0_742,plain,
meet(top,join(zero,meet(top,X_64))) = meet(top,X_64),
inference(resolve,[$cnf( $equal(join(zero,meet(top,X_64)),X_64) )],[refute_0_724,refute_0_741]) ).
cnf(refute_0_743,plain,
( meet(top,complement(complement(X_64))) != meet(top,join(zero,meet(top,X_64)))
| meet(top,join(zero,meet(top,X_64))) != meet(top,X_64)
| meet(top,complement(complement(X_64))) = meet(top,X_64) ),
introduced(tautology,[equality,[$cnf( ~ $equal(meet(top,complement(complement(X_64))),meet(top,X_64)) ),[0],$fot(meet(top,join(zero,meet(top,X_64))))]]) ).
cnf(refute_0_744,plain,
( meet(top,complement(complement(X_64))) != meet(top,join(zero,meet(top,X_64)))
| meet(top,complement(complement(X_64))) = meet(top,X_64) ),
inference(resolve,[$cnf( $equal(meet(top,join(zero,meet(top,X_64))),meet(top,X_64)) )],[refute_0_742,refute_0_743]) ).
cnf(refute_0_745,plain,
( meet(top,complement(complement(join(zero,meet(top,X_64))))) != meet(top,join(zero,meet(top,X_64)))
| meet(top,complement(complement(X_64))) = meet(top,X_64) ),
inference(resolve,[$cnf( $equal(meet(top,complement(complement(X_64))),meet(top,join(zero,meet(top,X_64)))) )],[refute_0_738,refute_0_744]) ).
cnf(refute_0_746,plain,
meet(top,complement(complement(X_64))) = meet(top,X_64),
inference(resolve,[$cnf( $equal(meet(top,complement(complement(join(zero,meet(top,X_64))))),meet(top,join(zero,meet(top,X_64)))) )],[refute_0_723,refute_0_745]) ).
cnf(refute_0_747,plain,
meet(top,complement(complement(X_64))) = complement(complement(X_64)),
inference(subst,[],[refute_0_652:[bind(X_33,$fot(complement(complement(X_64))))]]) ).
cnf(refute_0_748,plain,
( meet(top,complement(complement(X_64))) != complement(complement(X_64))
| meet(top,complement(complement(X_64))) != meet(top,X_64)
| complement(complement(X_64)) = meet(top,X_64) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,complement(complement(X_64))),meet(top,X_64)) ),[0],$fot(complement(complement(X_64)))]]) ).
cnf(refute_0_749,plain,
( meet(top,complement(complement(X_64))) != meet(top,X_64)
| complement(complement(X_64)) = meet(top,X_64) ),
inference(resolve,[$cnf( $equal(meet(top,complement(complement(X_64))),complement(complement(X_64))) )],[refute_0_747,refute_0_748]) ).
cnf(refute_0_750,plain,
meet(top,X_64) = X_64,
inference(subst,[],[refute_0_652:[bind(X_33,$fot(X_64))]]) ).
cnf(refute_0_751,plain,
( complement(complement(X_64)) != meet(top,X_64)
| meet(top,X_64) != X_64
| complement(complement(X_64)) = X_64 ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(complement(X_64)),X_64) ),[0],$fot(meet(top,X_64))]]) ).
cnf(refute_0_752,plain,
( complement(complement(X_64)) != meet(top,X_64)
| complement(complement(X_64)) = X_64 ),
inference(resolve,[$cnf( $equal(meet(top,X_64),X_64) )],[refute_0_750,refute_0_751]) ).
cnf(refute_0_753,plain,
( meet(top,complement(complement(X_64))) != meet(top,X_64)
| complement(complement(X_64)) = X_64 ),
inference(resolve,[$cnf( $equal(complement(complement(X_64)),meet(top,X_64)) )],[refute_0_749,refute_0_752]) ).
cnf(refute_0_754,plain,
complement(complement(X_64)) = X_64,
inference(resolve,[$cnf( $equal(meet(top,complement(complement(X_64))),meet(top,X_64)) )],[refute_0_746,refute_0_753]) ).
cnf(refute_0_755,plain,
complement(complement(X_32)) = X_32,
inference(subst,[],[refute_0_754:[bind(X_64,$fot(X_32))]]) ).
cnf(refute_0_756,plain,
join(complement(complement(X_32)),X_84) = join(complement(complement(X_32)),X_84),
introduced(tautology,[refl,[$fot(join(complement(complement(X_32)),X_84))]]) ).
cnf(refute_0_757,plain,
( complement(complement(X_32)) != X_32
| join(complement(complement(X_32)),X_84) != join(complement(complement(X_32)),X_84)
| join(complement(complement(X_32)),X_84) = join(X_32,X_84) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(X_32)),X_84),join(complement(complement(X_32)),X_84)) ),[1,0],$fot(X_32)]]) ).
cnf(refute_0_758,plain,
( complement(complement(X_32)) != X_32
| join(complement(complement(X_32)),X_84) = join(X_32,X_84) ),
inference(resolve,[$cnf( $equal(join(complement(complement(X_32)),X_84),join(complement(complement(X_32)),X_84)) )],[refute_0_756,refute_0_757]) ).
cnf(refute_0_759,plain,
join(complement(complement(X_32)),X_84) = join(X_32,X_84),
inference(resolve,[$cnf( $equal(complement(complement(X_32)),X_32) )],[refute_0_755,refute_0_758]) ).
cnf(refute_0_760,plain,
meet(X_32,join(complement(complement(X_32)),X_84)) = meet(X_32,join(complement(complement(X_32)),X_84)),
introduced(tautology,[refl,[$fot(meet(X_32,join(complement(complement(X_32)),X_84)))]]) ).
cnf(refute_0_761,plain,
( join(complement(complement(X_32)),X_84) != join(X_32,X_84)
| meet(X_32,join(complement(complement(X_32)),X_84)) != meet(X_32,join(complement(complement(X_32)),X_84))
| meet(X_32,join(complement(complement(X_32)),X_84)) = meet(X_32,join(X_32,X_84)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_32,join(complement(complement(X_32)),X_84)),meet(X_32,join(complement(complement(X_32)),X_84))) ),[1,1],$fot(join(X_32,X_84))]]) ).
cnf(refute_0_762,plain,
( join(complement(complement(X_32)),X_84) != join(X_32,X_84)
| meet(X_32,join(complement(complement(X_32)),X_84)) = meet(X_32,join(X_32,X_84)) ),
inference(resolve,[$cnf( $equal(meet(X_32,join(complement(complement(X_32)),X_84)),meet(X_32,join(complement(complement(X_32)),X_84))) )],[refute_0_760,refute_0_761]) ).
cnf(refute_0_763,plain,
meet(X_32,join(complement(complement(X_32)),X_84)) = meet(X_32,join(X_32,X_84)),
inference(resolve,[$cnf( $equal(join(complement(complement(X_32)),X_84),join(X_32,X_84)) )],[refute_0_759,refute_0_762]) ).
cnf(refute_0_764,plain,
meet(join(complement(complement(X_32)),X_84),X_32) = meet(X_32,join(complement(complement(X_32)),X_84)),
inference(subst,[],[refute_0_189:[bind(X_11,$fot(X_32)),bind(X_12,$fot(join(complement(complement(X_32)),X_84)))]]) ).
cnf(refute_0_765,plain,
( meet(X_32,join(complement(complement(X_32)),X_84)) != meet(X_32,join(X_32,X_84))
| meet(join(complement(complement(X_32)),X_84),X_32) != meet(X_32,join(complement(complement(X_32)),X_84))
| meet(join(complement(complement(X_32)),X_84),X_32) = meet(X_32,join(X_32,X_84)) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(meet(join(complement(complement(X_32)),X_84),X_32))),bind(Y,$fot(meet(X_32,join(complement(complement(X_32)),X_84)))),bind(Z,$fot(meet(X_32,join(X_32,X_84))))]]) ).
cnf(refute_0_766,plain,
( meet(X_32,join(complement(complement(X_32)),X_84)) != meet(X_32,join(X_32,X_84))
| meet(join(complement(complement(X_32)),X_84),X_32) = meet(X_32,join(X_32,X_84)) ),
inference(resolve,[$cnf( $equal(meet(join(complement(complement(X_32)),X_84),X_32),meet(X_32,join(complement(complement(X_32)),X_84))) )],[refute_0_764,refute_0_765]) ).
cnf(refute_0_767,plain,
meet(join(complement(complement(X_32)),X_84),X_32) = meet(X_32,join(X_32,X_84)),
inference(resolve,[$cnf( $equal(meet(X_32,join(complement(complement(X_32)),X_84)),meet(X_32,join(X_32,X_84))) )],[refute_0_763,refute_0_766]) ).
cnf(refute_0_768,plain,
join(zero,meet(join(complement(complement(X_32)),X_84),X_32)) = join(zero,meet(join(complement(complement(X_32)),X_84),X_32)),
introduced(tautology,[refl,[$fot(join(zero,meet(join(complement(complement(X_32)),X_84),X_32)))]]) ).
cnf(refute_0_769,plain,
( join(zero,meet(join(complement(complement(X_32)),X_84),X_32)) != join(zero,meet(join(complement(complement(X_32)),X_84),X_32))
| meet(join(complement(complement(X_32)),X_84),X_32) != meet(X_32,join(X_32,X_84))
| join(zero,meet(join(complement(complement(X_32)),X_84),X_32)) = join(zero,meet(X_32,join(X_32,X_84))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(join(complement(complement(X_32)),X_84),X_32)),join(zero,meet(join(complement(complement(X_32)),X_84),X_32))) ),[1,1],$fot(meet(X_32,join(X_32,X_84)))]]) ).
cnf(refute_0_770,plain,
( meet(join(complement(complement(X_32)),X_84),X_32) != meet(X_32,join(X_32,X_84))
| join(zero,meet(join(complement(complement(X_32)),X_84),X_32)) = join(zero,meet(X_32,join(X_32,X_84))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(join(complement(complement(X_32)),X_84),X_32)),join(zero,meet(join(complement(complement(X_32)),X_84),X_32))) )],[refute_0_768,refute_0_769]) ).
cnf(refute_0_771,plain,
join(zero,meet(join(complement(complement(X_32)),X_84),X_32)) = join(zero,meet(X_32,join(X_32,X_84))),
inference(resolve,[$cnf( $equal(meet(join(complement(complement(X_32)),X_84),X_32),meet(X_32,join(X_32,X_84))) )],[refute_0_767,refute_0_770]) ).
cnf(refute_0_772,plain,
join(complement(top),meet(join(complement(complement(X_32)),X_84),X_32)) = join(complement(top),meet(join(complement(complement(X_32)),X_84),X_32)),
introduced(tautology,[refl,[$fot(join(complement(top),meet(join(complement(complement(X_32)),X_84),X_32)))]]) ).
cnf(refute_0_773,plain,
( complement(top) != zero
| join(complement(top),meet(join(complement(complement(X_32)),X_84),X_32)) != join(complement(top),meet(join(complement(complement(X_32)),X_84),X_32))
| join(complement(top),meet(join(complement(complement(X_32)),X_84),X_32)) = join(zero,meet(join(complement(complement(X_32)),X_84),X_32)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(join(complement(complement(X_32)),X_84),X_32)),join(complement(top),meet(join(complement(complement(X_32)),X_84),X_32))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_774,plain,
( complement(top) != zero
| join(complement(top),meet(join(complement(complement(X_32)),X_84),X_32)) = join(zero,meet(join(complement(complement(X_32)),X_84),X_32)) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(join(complement(complement(X_32)),X_84),X_32)),join(complement(top),meet(join(complement(complement(X_32)),X_84),X_32))) )],[refute_0_772,refute_0_773]) ).
cnf(refute_0_775,plain,
join(complement(top),meet(join(complement(complement(X_32)),X_84),X_32)) = join(zero,meet(join(complement(complement(X_32)),X_84),X_32)),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_162,refute_0_774]) ).
cnf(refute_0_776,plain,
( join(complement(top),meet(join(complement(complement(X_32)),X_84),X_32)) != join(zero,meet(join(complement(complement(X_32)),X_84),X_32))
| join(zero,meet(join(complement(complement(X_32)),X_84),X_32)) != join(zero,meet(X_32,join(X_32,X_84)))
| join(complement(top),meet(join(complement(complement(X_32)),X_84),X_32)) = join(zero,meet(X_32,join(X_32,X_84))) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(join(complement(top),meet(join(complement(complement(X_32)),X_84),X_32)))),bind(Y,$fot(join(zero,meet(join(complement(complement(X_32)),X_84),X_32)))),bind(Z,$fot(join(zero,meet(X_32,join(X_32,X_84)))))]]) ).
cnf(refute_0_777,plain,
( join(zero,meet(join(complement(complement(X_32)),X_84),X_32)) != join(zero,meet(X_32,join(X_32,X_84)))
| join(complement(top),meet(join(complement(complement(X_32)),X_84),X_32)) = join(zero,meet(X_32,join(X_32,X_84))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(join(complement(complement(X_32)),X_84),X_32)),join(zero,meet(join(complement(complement(X_32)),X_84),X_32))) )],[refute_0_775,refute_0_776]) ).
cnf(refute_0_778,plain,
join(complement(top),meet(join(complement(complement(X_32)),X_84),X_32)) = join(zero,meet(X_32,join(X_32,X_84))),
inference(resolve,[$cnf( $equal(join(zero,meet(join(complement(complement(X_32)),X_84),X_32)),join(zero,meet(X_32,join(X_32,X_84)))) )],[refute_0_771,refute_0_777]) ).
cnf(refute_0_779,plain,
( join(complement(top),meet(join(complement(complement(X_32)),X_84),X_32)) != join(zero,meet(X_32,join(X_32,X_84)))
| join(zero,meet(X_32,join(X_32,X_84))) != meet(X_32,join(X_32,X_84))
| join(complement(top),meet(join(complement(complement(X_32)),X_84),X_32)) = meet(X_32,join(X_32,X_84)) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(join(complement(top),meet(join(complement(complement(X_32)),X_84),X_32)))),bind(Y,$fot(join(zero,meet(X_32,join(X_32,X_84))))),bind(Z,$fot(meet(X_32,join(X_32,X_84))))]]) ).
cnf(refute_0_780,plain,
( join(zero,meet(X_32,join(X_32,X_84))) != meet(X_32,join(X_32,X_84))
| join(complement(top),meet(join(complement(complement(X_32)),X_84),X_32)) = meet(X_32,join(X_32,X_84)) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(join(complement(complement(X_32)),X_84),X_32)),join(zero,meet(X_32,join(X_32,X_84)))) )],[refute_0_778,refute_0_779]) ).
cnf(refute_0_781,plain,
join(complement(top),meet(join(complement(complement(X_32)),X_84),X_32)) = meet(X_32,join(X_32,X_84)),
inference(resolve,[$cnf( $equal(join(zero,meet(X_32,join(X_32,X_84))),meet(X_32,join(X_32,X_84))) )],[refute_0_699,refute_0_780]) ).
cnf(refute_0_782,plain,
join(meet(join(complement(complement(X_32)),X_84),X_32),complement(top)) = join(complement(top),meet(join(complement(complement(X_32)),X_84),X_32)),
inference(subst,[],[refute_0_6:[bind(X0,$fot(complement(top))),bind(X1,$fot(meet(join(complement(complement(X_32)),X_84),X_32)))]]) ).
cnf(refute_0_783,plain,
( join(complement(top),meet(join(complement(complement(X_32)),X_84),X_32)) != meet(X_32,join(X_32,X_84))
| join(meet(join(complement(complement(X_32)),X_84),X_32),complement(top)) != join(complement(top),meet(join(complement(complement(X_32)),X_84),X_32))
| join(meet(join(complement(complement(X_32)),X_84),X_32),complement(top)) = meet(X_32,join(X_32,X_84)) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(join(meet(join(complement(complement(X_32)),X_84),X_32),complement(top)))),bind(Y,$fot(join(complement(top),meet(join(complement(complement(X_32)),X_84),X_32)))),bind(Z,$fot(meet(X_32,join(X_32,X_84))))]]) ).
cnf(refute_0_784,plain,
( join(complement(top),meet(join(complement(complement(X_32)),X_84),X_32)) != meet(X_32,join(X_32,X_84))
| join(meet(join(complement(complement(X_32)),X_84),X_32),complement(top)) = meet(X_32,join(X_32,X_84)) ),
inference(resolve,[$cnf( $equal(join(meet(join(complement(complement(X_32)),X_84),X_32),complement(top)),join(complement(top),meet(join(complement(complement(X_32)),X_84),X_32))) )],[refute_0_782,refute_0_783]) ).
cnf(refute_0_785,plain,
join(meet(join(complement(complement(X_32)),X_84),X_32),complement(top)) = meet(X_32,join(X_32,X_84)),
inference(resolve,[$cnf( $equal(join(complement(top),meet(join(complement(complement(X_32)),X_84),X_32)),meet(X_32,join(X_32,X_84))) )],[refute_0_781,refute_0_784]) ).
cnf(refute_0_786,plain,
( X_32 != join(meet(join(complement(complement(X_32)),X_84),X_32),complement(top))
| join(meet(join(complement(complement(X_32)),X_84),X_32),complement(top)) != meet(X_32,join(X_32,X_84))
| X_32 = meet(X_32,join(X_32,X_84)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_32,meet(X_32,join(X_32,X_84))) ),[0],$fot(join(meet(join(complement(complement(X_32)),X_84),X_32),complement(top)))]]) ).
cnf(refute_0_787,plain,
( X_32 != join(meet(join(complement(complement(X_32)),X_84),X_32),complement(top))
| X_32 = meet(X_32,join(X_32,X_84)) ),
inference(resolve,[$cnf( $equal(join(meet(join(complement(complement(X_32)),X_84),X_32),complement(top)),meet(X_32,join(X_32,X_84))) )],[refute_0_785,refute_0_786]) ).
cnf(refute_0_788,plain,
X_32 = meet(X_32,join(X_32,X_84)),
inference(resolve,[$cnf( $equal(X_32,join(meet(join(complement(complement(X_32)),X_84),X_32),complement(top))) )],[refute_0_477,refute_0_787]) ).
cnf(refute_0_789,plain,
skolemFOFtoCNF_X0 = meet(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2))),
inference(subst,[],[refute_0_788:[bind(X_32,$fot(skolemFOFtoCNF_X0)),bind(X_84,$fot(join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2)))]]) ).
cnf(refute_0_790,plain,
join(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),skolemFOFtoCNF_X2) = skolemFOFtoCNF_X2,
inference(canonicalize,[],[normalize_0_18]) ).
cnf(refute_0_791,plain,
join(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),skolemFOFtoCNF_X2) = join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2)),
inference(subst,[],[refute_0_114:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X1,$fot(skolemFOFtoCNF_X1)),bind(X2,$fot(skolemFOFtoCNF_X2))]]) ).
cnf(refute_0_792,plain,
( join(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),skolemFOFtoCNF_X2) != join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2))
| join(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),skolemFOFtoCNF_X2) != skolemFOFtoCNF_X2
| join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2)) = skolemFOFtoCNF_X2 ),
introduced(tautology,[equality,[$cnf( $equal(join(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),skolemFOFtoCNF_X2),skolemFOFtoCNF_X2) ),[0],$fot(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2)))]]) ).
cnf(refute_0_793,plain,
( join(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),skolemFOFtoCNF_X2) != skolemFOFtoCNF_X2
| join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2)) = skolemFOFtoCNF_X2 ),
inference(resolve,[$cnf( $equal(join(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),skolemFOFtoCNF_X2),join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2))) )],[refute_0_791,refute_0_792]) ).
cnf(refute_0_794,plain,
join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2)) = skolemFOFtoCNF_X2,
inference(resolve,[$cnf( $equal(join(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1),skolemFOFtoCNF_X2),skolemFOFtoCNF_X2) )],[refute_0_790,refute_0_793]) ).
cnf(refute_0_795,plain,
( join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2)) != skolemFOFtoCNF_X2
| skolemFOFtoCNF_X0 != meet(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2)))
| skolemFOFtoCNF_X0 = meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2) ),
introduced(tautology,[equality,[$cnf( $equal(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2)))) ),[1,1],$fot(skolemFOFtoCNF_X2)]]) ).
cnf(refute_0_796,plain,
( skolemFOFtoCNF_X0 != meet(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2)))
| skolemFOFtoCNF_X0 = meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2)),skolemFOFtoCNF_X2) )],[refute_0_794,refute_0_795]) ).
cnf(refute_0_797,plain,
skolemFOFtoCNF_X0 = meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X0,join(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2)))) )],[refute_0_789,refute_0_796]) ).
cnf(refute_0_798,plain,
( skolemFOFtoCNF_X0 != meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)
| meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2) = skolemFOFtoCNF_X0 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(skolemFOFtoCNF_X0)),bind(Y,$fot(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)))]]) ).
cnf(refute_0_799,plain,
meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2) = skolemFOFtoCNF_X0,
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)) )],[refute_0_797,refute_0_798]) ).
cnf(refute_0_800,plain,
( meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2) != skolemFOFtoCNF_X0
| skolemFOFtoCNF_X2 != join(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),meet(skolemFOFtoCNF_X2,complement(skolemFOFtoCNF_X0)))
| skolemFOFtoCNF_X2 = join(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X2,complement(skolemFOFtoCNF_X0))) ),
introduced(tautology,[equality,[$cnf( $equal(skolemFOFtoCNF_X2,join(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),meet(skolemFOFtoCNF_X2,complement(skolemFOFtoCNF_X0)))) ),[1,0],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_801,plain,
( skolemFOFtoCNF_X2 != join(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),meet(skolemFOFtoCNF_X2,complement(skolemFOFtoCNF_X0)))
| skolemFOFtoCNF_X2 = join(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X2,complement(skolemFOFtoCNF_X0))) ),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),skolemFOFtoCNF_X0) )],[refute_0_799,refute_0_800]) ).
cnf(refute_0_802,plain,
skolemFOFtoCNF_X2 = join(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X2,complement(skolemFOFtoCNF_X0))),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X2,join(meet(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),meet(skolemFOFtoCNF_X2,complement(skolemFOFtoCNF_X0)))) )],[refute_0_66,refute_0_801]) ).
cnf(refute_0_803,plain,
( skolemFOFtoCNF_X2 != join(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X2,complement(skolemFOFtoCNF_X0)))
| join(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X2,complement(skolemFOFtoCNF_X0))) = skolemFOFtoCNF_X2 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(skolemFOFtoCNF_X2)),bind(Y,$fot(join(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X2,complement(skolemFOFtoCNF_X0)))))]]) ).
cnf(refute_0_804,plain,
join(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X2,complement(skolemFOFtoCNF_X0))) = skolemFOFtoCNF_X2,
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X2,join(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X2,complement(skolemFOFtoCNF_X0)))) )],[refute_0_802,refute_0_803]) ).
cnf(refute_0_805,plain,
( join(skolemFOFtoCNF_X0,join(meet(skolemFOFtoCNF_X2,complement(skolemFOFtoCNF_X0)),X2)) != join(join(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X2,complement(skolemFOFtoCNF_X0))),X2)
| join(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X2,complement(skolemFOFtoCNF_X0))) != skolemFOFtoCNF_X2
| join(skolemFOFtoCNF_X0,join(meet(skolemFOFtoCNF_X2,complement(skolemFOFtoCNF_X0)),X2)) = join(skolemFOFtoCNF_X2,X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(meet(skolemFOFtoCNF_X2,complement(skolemFOFtoCNF_X0)),X2)),join(join(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X2,complement(skolemFOFtoCNF_X0))),X2)) ),[1,0],$fot(skolemFOFtoCNF_X2)]]) ).
cnf(refute_0_806,plain,
( join(skolemFOFtoCNF_X0,join(meet(skolemFOFtoCNF_X2,complement(skolemFOFtoCNF_X0)),X2)) != join(join(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X2,complement(skolemFOFtoCNF_X0))),X2)
| join(skolemFOFtoCNF_X0,join(meet(skolemFOFtoCNF_X2,complement(skolemFOFtoCNF_X0)),X2)) = join(skolemFOFtoCNF_X2,X2) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X2,complement(skolemFOFtoCNF_X0))),skolemFOFtoCNF_X2) )],[refute_0_804,refute_0_805]) ).
cnf(refute_0_807,plain,
join(skolemFOFtoCNF_X0,join(meet(skolemFOFtoCNF_X2,complement(skolemFOFtoCNF_X0)),X2)) = join(skolemFOFtoCNF_X2,X2),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(meet(skolemFOFtoCNF_X2,complement(skolemFOFtoCNF_X0)),X2)),join(join(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X2,complement(skolemFOFtoCNF_X0))),X2)) )],[refute_0_36,refute_0_806]) ).
cnf(refute_0_808,plain,
join(skolemFOFtoCNF_X0,join(meet(skolemFOFtoCNF_X2,complement(skolemFOFtoCNF_X0)),complement(join(complement(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X2)))) = join(skolemFOFtoCNF_X2,complement(join(complement(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X2))),
inference(subst,[],[refute_0_807:[bind(X2,$fot(complement(join(complement(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X2))))]]) ).
cnf(refute_0_809,plain,
complement(skolemFOFtoCNF_X0) = join(meet(skolemFOFtoCNF_X2,complement(skolemFOFtoCNF_X0)),complement(join(complement(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X2))),
inference(subst,[],[refute_0_72:[bind(X_32,$fot(complement(skolemFOFtoCNF_X0))),bind(X_33,$fot(skolemFOFtoCNF_X2))]]) ).
cnf(refute_0_810,plain,
( complement(skolemFOFtoCNF_X0) != join(meet(skolemFOFtoCNF_X2,complement(skolemFOFtoCNF_X0)),complement(join(complement(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X2)))
| join(meet(skolemFOFtoCNF_X2,complement(skolemFOFtoCNF_X0)),complement(join(complement(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X2))) = complement(skolemFOFtoCNF_X0) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(complement(skolemFOFtoCNF_X0))),bind(Y,$fot(join(meet(skolemFOFtoCNF_X2,complement(skolemFOFtoCNF_X0)),complement(join(complement(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X2)))))]]) ).
cnf(refute_0_811,plain,
join(meet(skolemFOFtoCNF_X2,complement(skolemFOFtoCNF_X0)),complement(join(complement(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X2))) = complement(skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(complement(skolemFOFtoCNF_X0),join(meet(skolemFOFtoCNF_X2,complement(skolemFOFtoCNF_X0)),complement(join(complement(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X2)))) )],[refute_0_809,refute_0_810]) ).
cnf(refute_0_812,plain,
( join(meet(skolemFOFtoCNF_X2,complement(skolemFOFtoCNF_X0)),complement(join(complement(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X2))) != complement(skolemFOFtoCNF_X0)
| join(skolemFOFtoCNF_X0,join(meet(skolemFOFtoCNF_X2,complement(skolemFOFtoCNF_X0)),complement(join(complement(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X2)))) != join(skolemFOFtoCNF_X2,complement(join(complement(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X2)))
| join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)) = join(skolemFOFtoCNF_X2,complement(join(complement(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X2))) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(meet(skolemFOFtoCNF_X2,complement(skolemFOFtoCNF_X0)),complement(join(complement(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X2)))),join(skolemFOFtoCNF_X2,complement(join(complement(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X2)))) ),[0,1],$fot(complement(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_813,plain,
( join(skolemFOFtoCNF_X0,join(meet(skolemFOFtoCNF_X2,complement(skolemFOFtoCNF_X0)),complement(join(complement(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X2)))) != join(skolemFOFtoCNF_X2,complement(join(complement(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X2)))
| join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)) = join(skolemFOFtoCNF_X2,complement(join(complement(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X2))) ),
inference(resolve,[$cnf( $equal(join(meet(skolemFOFtoCNF_X2,complement(skolemFOFtoCNF_X0)),complement(join(complement(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X2))),complement(skolemFOFtoCNF_X0)) )],[refute_0_811,refute_0_812]) ).
cnf(refute_0_814,plain,
join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)) = join(skolemFOFtoCNF_X2,complement(join(complement(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X2))),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,join(meet(skolemFOFtoCNF_X2,complement(skolemFOFtoCNF_X0)),complement(join(complement(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X2)))),join(skolemFOFtoCNF_X2,complement(join(complement(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X2)))) )],[refute_0_808,refute_0_813]) ).
cnf(refute_0_815,plain,
join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)) = top,
inference(subst,[],[refute_0_144:[bind(X0,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_816,plain,
( join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)) != join(skolemFOFtoCNF_X2,complement(join(complement(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X2)))
| join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)) != top
| top = join(skolemFOFtoCNF_X2,complement(join(complement(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X2))) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),join(skolemFOFtoCNF_X2,complement(join(complement(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X2)))) ),[0],$fot(top)]]) ).
cnf(refute_0_817,plain,
( join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)) != join(skolemFOFtoCNF_X2,complement(join(complement(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X2)))
| top = join(skolemFOFtoCNF_X2,complement(join(complement(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X2))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),top) )],[refute_0_815,refute_0_816]) ).
cnf(refute_0_818,plain,
join(skolemFOFtoCNF_X2,skolemFOFtoCNF_X0) = join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),
inference(subst,[],[refute_0_6:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X1,$fot(skolemFOFtoCNF_X2))]]) ).
cnf(refute_0_819,plain,
complement(complement(skolemFOFtoCNF_X0)) = skolemFOFtoCNF_X0,
inference(subst,[],[refute_0_754:[bind(X_64,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_820,plain,
join(skolemFOFtoCNF_X2,complement(complement(skolemFOFtoCNF_X0))) = join(skolemFOFtoCNF_X2,complement(complement(skolemFOFtoCNF_X0))),
introduced(tautology,[refl,[$fot(join(skolemFOFtoCNF_X2,complement(complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_821,plain,
( complement(complement(skolemFOFtoCNF_X0)) != skolemFOFtoCNF_X0
| join(skolemFOFtoCNF_X2,complement(complement(skolemFOFtoCNF_X0))) != join(skolemFOFtoCNF_X2,complement(complement(skolemFOFtoCNF_X0)))
| join(skolemFOFtoCNF_X2,complement(complement(skolemFOFtoCNF_X0))) = join(skolemFOFtoCNF_X2,skolemFOFtoCNF_X0) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X2,complement(complement(skolemFOFtoCNF_X0))),join(skolemFOFtoCNF_X2,complement(complement(skolemFOFtoCNF_X0)))) ),[1,1],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_822,plain,
( complement(complement(skolemFOFtoCNF_X0)) != skolemFOFtoCNF_X0
| join(skolemFOFtoCNF_X2,complement(complement(skolemFOFtoCNF_X0))) = join(skolemFOFtoCNF_X2,skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X2,complement(complement(skolemFOFtoCNF_X0))),join(skolemFOFtoCNF_X2,complement(complement(skolemFOFtoCNF_X0)))) )],[refute_0_820,refute_0_821]) ).
cnf(refute_0_823,plain,
join(skolemFOFtoCNF_X2,complement(complement(skolemFOFtoCNF_X0))) = join(skolemFOFtoCNF_X2,skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(complement(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X0) )],[refute_0_819,refute_0_822]) ).
cnf(refute_0_824,plain,
( join(skolemFOFtoCNF_X2,complement(complement(skolemFOFtoCNF_X0))) != join(skolemFOFtoCNF_X2,skolemFOFtoCNF_X0)
| join(skolemFOFtoCNF_X2,skolemFOFtoCNF_X0) != join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)
| join(skolemFOFtoCNF_X2,complement(complement(skolemFOFtoCNF_X0))) = join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(join(skolemFOFtoCNF_X2,complement(complement(skolemFOFtoCNF_X0))))),bind(Y,$fot(join(skolemFOFtoCNF_X2,skolemFOFtoCNF_X0))),bind(Z,$fot(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)))]]) ).
cnf(refute_0_825,plain,
( join(skolemFOFtoCNF_X2,skolemFOFtoCNF_X0) != join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)
| join(skolemFOFtoCNF_X2,complement(complement(skolemFOFtoCNF_X0))) = join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X2,complement(complement(skolemFOFtoCNF_X0))),join(skolemFOFtoCNF_X2,skolemFOFtoCNF_X0)) )],[refute_0_823,refute_0_824]) ).
cnf(refute_0_826,plain,
join(skolemFOFtoCNF_X2,complement(complement(skolemFOFtoCNF_X0))) = join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X2,skolemFOFtoCNF_X0),join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)) )],[refute_0_818,refute_0_825]) ).
cnf(refute_0_827,plain,
join(complement(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X2) = join(skolemFOFtoCNF_X2,complement(complement(skolemFOFtoCNF_X0))),
inference(subst,[],[refute_0_6:[bind(X0,$fot(skolemFOFtoCNF_X2)),bind(X1,$fot(complement(complement(skolemFOFtoCNF_X0))))]]) ).
cnf(refute_0_828,plain,
( join(complement(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X2) != join(skolemFOFtoCNF_X2,complement(complement(skolemFOFtoCNF_X0)))
| join(skolemFOFtoCNF_X2,complement(complement(skolemFOFtoCNF_X0))) != join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)
| join(complement(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X2) = join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(join(complement(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X2))),bind(Y,$fot(join(skolemFOFtoCNF_X2,complement(complement(skolemFOFtoCNF_X0))))),bind(Z,$fot(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)))]]) ).
cnf(refute_0_829,plain,
( join(skolemFOFtoCNF_X2,complement(complement(skolemFOFtoCNF_X0))) != join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)
| join(complement(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X2) = join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2) ),
inference(resolve,[$cnf( $equal(join(complement(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X2),join(skolemFOFtoCNF_X2,complement(complement(skolemFOFtoCNF_X0)))) )],[refute_0_827,refute_0_828]) ).
cnf(refute_0_830,plain,
join(complement(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X2) = join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X2,complement(complement(skolemFOFtoCNF_X0))),join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)) )],[refute_0_826,refute_0_829]) ).
cnf(refute_0_831,plain,
complement(join(complement(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X2)) = complement(join(complement(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X2)),
introduced(tautology,[refl,[$fot(complement(join(complement(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X2)))]]) ).
cnf(refute_0_832,plain,
( complement(join(complement(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X2)) != complement(join(complement(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X2))
| join(complement(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X2) != join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)
| complement(join(complement(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X2)) = complement(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X2)),complement(join(complement(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X2))) ),[1,0],$fot(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))]]) ).
cnf(refute_0_833,plain,
( join(complement(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X2) != join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)
| complement(join(complement(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X2)) = complement(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)) ),
inference(resolve,[$cnf( $equal(complement(join(complement(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X2)),complement(join(complement(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X2))) )],[refute_0_831,refute_0_832]) ).
cnf(refute_0_834,plain,
complement(join(complement(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X2)) = complement(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)),
inference(resolve,[$cnf( $equal(join(complement(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X2),join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)) )],[refute_0_830,refute_0_833]) ).
cnf(refute_0_835,plain,
join(skolemFOFtoCNF_X2,complement(join(complement(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X2))) = join(skolemFOFtoCNF_X2,complement(join(complement(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X2))),
introduced(tautology,[refl,[$fot(join(skolemFOFtoCNF_X2,complement(join(complement(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X2))))]]) ).
cnf(refute_0_836,plain,
( complement(join(complement(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X2)) != complement(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))
| join(skolemFOFtoCNF_X2,complement(join(complement(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X2))) != join(skolemFOFtoCNF_X2,complement(join(complement(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X2)))
| join(skolemFOFtoCNF_X2,complement(join(complement(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X2))) = join(skolemFOFtoCNF_X2,complement(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X2,complement(join(complement(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X2))),join(skolemFOFtoCNF_X2,complement(join(complement(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X2)))) ),[1,1],$fot(complement(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)))]]) ).
cnf(refute_0_837,plain,
( complement(join(complement(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X2)) != complement(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))
| join(skolemFOFtoCNF_X2,complement(join(complement(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X2))) = join(skolemFOFtoCNF_X2,complement(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X2,complement(join(complement(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X2))),join(skolemFOFtoCNF_X2,complement(join(complement(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X2)))) )],[refute_0_835,refute_0_836]) ).
cnf(refute_0_838,plain,
join(skolemFOFtoCNF_X2,complement(join(complement(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X2))) = join(skolemFOFtoCNF_X2,complement(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))),
inference(resolve,[$cnf( $equal(complement(join(complement(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X2)),complement(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))) )],[refute_0_834,refute_0_837]) ).
cnf(refute_0_839,plain,
( join(skolemFOFtoCNF_X2,complement(join(complement(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X2))) != join(skolemFOFtoCNF_X2,complement(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)))
| top != join(skolemFOFtoCNF_X2,complement(join(complement(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X2)))
| top = join(skolemFOFtoCNF_X2,complement(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(skolemFOFtoCNF_X2,complement(join(complement(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X2)))) ),[1],$fot(join(skolemFOFtoCNF_X2,complement(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))))]]) ).
cnf(refute_0_840,plain,
( top != join(skolemFOFtoCNF_X2,complement(join(complement(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X2)))
| top = join(skolemFOFtoCNF_X2,complement(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X2,complement(join(complement(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X2))),join(skolemFOFtoCNF_X2,complement(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)))) )],[refute_0_838,refute_0_839]) ).
cnf(refute_0_841,plain,
( join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)) != join(skolemFOFtoCNF_X2,complement(join(complement(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X2)))
| top = join(skolemFOFtoCNF_X2,complement(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))) ),
inference(resolve,[$cnf( $equal(top,join(skolemFOFtoCNF_X2,complement(join(complement(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X2)))) )],[refute_0_817,refute_0_840]) ).
cnf(refute_0_842,plain,
top = join(skolemFOFtoCNF_X2,complement(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,complement(skolemFOFtoCNF_X0)),join(skolemFOFtoCNF_X2,complement(join(complement(complement(skolemFOFtoCNF_X0)),skolemFOFtoCNF_X2)))) )],[refute_0_814,refute_0_841]) ).
cnf(refute_0_843,plain,
( top != join(skolemFOFtoCNF_X2,complement(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)))
| join(skolemFOFtoCNF_X2,complement(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(skolemFOFtoCNF_X2,complement(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)))))]]) ).
cnf(refute_0_844,plain,
join(skolemFOFtoCNF_X2,complement(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))) = top,
inference(resolve,[$cnf( $equal(top,join(skolemFOFtoCNF_X2,complement(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)))) )],[refute_0_842,refute_0_843]) ).
cnf(refute_0_845,plain,
( join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2) != join(meet(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),skolemFOFtoCNF_X2),complement(join(skolemFOFtoCNF_X2,complement(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)))))
| join(skolemFOFtoCNF_X2,complement(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))) != top
| join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2) = join(meet(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),skolemFOFtoCNF_X2),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),join(meet(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),skolemFOFtoCNF_X2),complement(join(skolemFOFtoCNF_X2,complement(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_0_846,plain,
( join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2) != join(meet(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),skolemFOFtoCNF_X2),complement(join(skolemFOFtoCNF_X2,complement(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)))))
| join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2) = join(meet(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),skolemFOFtoCNF_X2),complement(top)) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X2,complement(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))),top) )],[refute_0_844,refute_0_845]) ).
cnf(refute_0_847,plain,
join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2) = join(meet(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),skolemFOFtoCNF_X2),complement(top)),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),join(meet(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),skolemFOFtoCNF_X2),complement(join(skolemFOFtoCNF_X2,complement(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)))))) )],[refute_0_34,refute_0_846]) ).
cnf(refute_0_848,plain,
join(zero,skolemFOFtoCNF_X2) = skolemFOFtoCNF_X2,
inference(subst,[],[refute_0_698:[bind(X_32,$fot(skolemFOFtoCNF_X2))]]) ).
cnf(refute_0_849,plain,
X_32 = join(meet(join(X_87,complement(complement(X_32))),X_32),complement(join(complement(X_32),join(X_87,complement(complement(X_32)))))),
inference(subst,[],[refute_0_72:[bind(X_33,$fot(join(X_87,complement(complement(X_32)))))]]) ).
cnf(refute_0_850,plain,
join(X_83,join(complement(X_83),X_84)) = top,
inference(subst,[],[refute_0_473:[bind(X_79,$fot(X_83)),bind(X_81,$fot(X_84))]]) ).
cnf(refute_0_851,plain,
join(X_84,complement(X_83)) = join(complement(X_83),X_84),
inference(subst,[],[refute_0_1:[bind(X0,$fot(X_84)),bind(X1,$fot(complement(X_83)))]]) ).
cnf(refute_0_852,plain,
( join(X_84,complement(X_83)) != join(complement(X_83),X_84)
| join(complement(X_83),X_84) = join(X_84,complement(X_83)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(X_84,complement(X_83)))),bind(Y,$fot(join(complement(X_83),X_84)))]]) ).
cnf(refute_0_853,plain,
join(complement(X_83),X_84) = join(X_84,complement(X_83)),
inference(resolve,[$cnf( $equal(join(X_84,complement(X_83)),join(complement(X_83),X_84)) )],[refute_0_851,refute_0_852]) ).
cnf(refute_0_854,plain,
( join(X_83,join(complement(X_83),X_84)) != top
| join(complement(X_83),X_84) != join(X_84,complement(X_83))
| join(X_83,join(X_84,complement(X_83))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(X_83,join(complement(X_83),X_84)),top) ),[0,1],$fot(join(X_84,complement(X_83)))]]) ).
cnf(refute_0_855,plain,
( join(X_83,join(complement(X_83),X_84)) != top
| join(X_83,join(X_84,complement(X_83))) = top ),
inference(resolve,[$cnf( $equal(join(complement(X_83),X_84),join(X_84,complement(X_83))) )],[refute_0_853,refute_0_854]) ).
cnf(refute_0_856,plain,
join(X_83,join(X_84,complement(X_83))) = top,
inference(resolve,[$cnf( $equal(join(X_83,join(complement(X_83),X_84)),top) )],[refute_0_850,refute_0_855]) ).
cnf(refute_0_857,plain,
join(complement(X_32),join(X_87,complement(complement(X_32)))) = top,
inference(subst,[],[refute_0_856:[bind(X_83,$fot(complement(X_32))),bind(X_84,$fot(X_87))]]) ).
cnf(refute_0_858,plain,
( X_32 != join(meet(join(X_87,complement(complement(X_32))),X_32),complement(join(complement(X_32),join(X_87,complement(complement(X_32))))))
| join(complement(X_32),join(X_87,complement(complement(X_32)))) != top
| X_32 = join(meet(join(X_87,complement(complement(X_32))),X_32),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(X_32,join(meet(join(X_87,complement(complement(X_32))),X_32),complement(join(complement(X_32),join(X_87,complement(complement(X_32))))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_0_859,plain,
( X_32 != join(meet(join(X_87,complement(complement(X_32))),X_32),complement(join(complement(X_32),join(X_87,complement(complement(X_32))))))
| X_32 = join(meet(join(X_87,complement(complement(X_32))),X_32),complement(top)) ),
inference(resolve,[$cnf( $equal(join(complement(X_32),join(X_87,complement(complement(X_32)))),top) )],[refute_0_857,refute_0_858]) ).
cnf(refute_0_860,plain,
X_32 = join(meet(join(X_87,complement(complement(X_32))),X_32),complement(top)),
inference(resolve,[$cnf( $equal(X_32,join(meet(join(X_87,complement(complement(X_32))),X_32),complement(join(complement(X_32),join(X_87,complement(complement(X_32))))))) )],[refute_0_849,refute_0_859]) ).
cnf(refute_0_861,plain,
join(zero,meet(X_32,join(X_87,X_32))) = meet(X_32,join(X_87,X_32)),
inference(subst,[],[refute_0_698:[bind(X_32,$fot(meet(X_32,join(X_87,X_32))))]]) ).
cnf(refute_0_862,plain,
join(X_87,complement(complement(X_32))) = join(X_87,complement(complement(X_32))),
introduced(tautology,[refl,[$fot(join(X_87,complement(complement(X_32))))]]) ).
cnf(refute_0_863,plain,
( complement(complement(X_32)) != X_32
| join(X_87,complement(complement(X_32))) != join(X_87,complement(complement(X_32)))
| join(X_87,complement(complement(X_32))) = join(X_87,X_32) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_87,complement(complement(X_32))),join(X_87,complement(complement(X_32)))) ),[1,1],$fot(X_32)]]) ).
cnf(refute_0_864,plain,
( complement(complement(X_32)) != X_32
| join(X_87,complement(complement(X_32))) = join(X_87,X_32) ),
inference(resolve,[$cnf( $equal(join(X_87,complement(complement(X_32))),join(X_87,complement(complement(X_32)))) )],[refute_0_862,refute_0_863]) ).
cnf(refute_0_865,plain,
join(X_87,complement(complement(X_32))) = join(X_87,X_32),
inference(resolve,[$cnf( $equal(complement(complement(X_32)),X_32) )],[refute_0_755,refute_0_864]) ).
cnf(refute_0_866,plain,
meet(X_32,join(X_87,complement(complement(X_32)))) = meet(X_32,join(X_87,complement(complement(X_32)))),
introduced(tautology,[refl,[$fot(meet(X_32,join(X_87,complement(complement(X_32)))))]]) ).
cnf(refute_0_867,plain,
( join(X_87,complement(complement(X_32))) != join(X_87,X_32)
| meet(X_32,join(X_87,complement(complement(X_32)))) != meet(X_32,join(X_87,complement(complement(X_32))))
| meet(X_32,join(X_87,complement(complement(X_32)))) = meet(X_32,join(X_87,X_32)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_32,join(X_87,complement(complement(X_32)))),meet(X_32,join(X_87,complement(complement(X_32))))) ),[1,1],$fot(join(X_87,X_32))]]) ).
cnf(refute_0_868,plain,
( join(X_87,complement(complement(X_32))) != join(X_87,X_32)
| meet(X_32,join(X_87,complement(complement(X_32)))) = meet(X_32,join(X_87,X_32)) ),
inference(resolve,[$cnf( $equal(meet(X_32,join(X_87,complement(complement(X_32)))),meet(X_32,join(X_87,complement(complement(X_32))))) )],[refute_0_866,refute_0_867]) ).
cnf(refute_0_869,plain,
meet(X_32,join(X_87,complement(complement(X_32)))) = meet(X_32,join(X_87,X_32)),
inference(resolve,[$cnf( $equal(join(X_87,complement(complement(X_32))),join(X_87,X_32)) )],[refute_0_865,refute_0_868]) ).
cnf(refute_0_870,plain,
meet(join(X_87,complement(complement(X_32))),X_32) = meet(X_32,join(X_87,complement(complement(X_32)))),
inference(subst,[],[refute_0_189:[bind(X_11,$fot(X_32)),bind(X_12,$fot(join(X_87,complement(complement(X_32)))))]]) ).
cnf(refute_0_871,plain,
( meet(X_32,join(X_87,complement(complement(X_32)))) != meet(X_32,join(X_87,X_32))
| meet(join(X_87,complement(complement(X_32))),X_32) != meet(X_32,join(X_87,complement(complement(X_32))))
| meet(join(X_87,complement(complement(X_32))),X_32) = meet(X_32,join(X_87,X_32)) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(meet(join(X_87,complement(complement(X_32))),X_32))),bind(Y,$fot(meet(X_32,join(X_87,complement(complement(X_32)))))),bind(Z,$fot(meet(X_32,join(X_87,X_32))))]]) ).
cnf(refute_0_872,plain,
( meet(X_32,join(X_87,complement(complement(X_32)))) != meet(X_32,join(X_87,X_32))
| meet(join(X_87,complement(complement(X_32))),X_32) = meet(X_32,join(X_87,X_32)) ),
inference(resolve,[$cnf( $equal(meet(join(X_87,complement(complement(X_32))),X_32),meet(X_32,join(X_87,complement(complement(X_32))))) )],[refute_0_870,refute_0_871]) ).
cnf(refute_0_873,plain,
meet(join(X_87,complement(complement(X_32))),X_32) = meet(X_32,join(X_87,X_32)),
inference(resolve,[$cnf( $equal(meet(X_32,join(X_87,complement(complement(X_32)))),meet(X_32,join(X_87,X_32))) )],[refute_0_869,refute_0_872]) ).
cnf(refute_0_874,plain,
join(zero,meet(join(X_87,complement(complement(X_32))),X_32)) = join(zero,meet(join(X_87,complement(complement(X_32))),X_32)),
introduced(tautology,[refl,[$fot(join(zero,meet(join(X_87,complement(complement(X_32))),X_32)))]]) ).
cnf(refute_0_875,plain,
( join(zero,meet(join(X_87,complement(complement(X_32))),X_32)) != join(zero,meet(join(X_87,complement(complement(X_32))),X_32))
| meet(join(X_87,complement(complement(X_32))),X_32) != meet(X_32,join(X_87,X_32))
| join(zero,meet(join(X_87,complement(complement(X_32))),X_32)) = join(zero,meet(X_32,join(X_87,X_32))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(join(X_87,complement(complement(X_32))),X_32)),join(zero,meet(join(X_87,complement(complement(X_32))),X_32))) ),[1,1],$fot(meet(X_32,join(X_87,X_32)))]]) ).
cnf(refute_0_876,plain,
( meet(join(X_87,complement(complement(X_32))),X_32) != meet(X_32,join(X_87,X_32))
| join(zero,meet(join(X_87,complement(complement(X_32))),X_32)) = join(zero,meet(X_32,join(X_87,X_32))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(join(X_87,complement(complement(X_32))),X_32)),join(zero,meet(join(X_87,complement(complement(X_32))),X_32))) )],[refute_0_874,refute_0_875]) ).
cnf(refute_0_877,plain,
join(zero,meet(join(X_87,complement(complement(X_32))),X_32)) = join(zero,meet(X_32,join(X_87,X_32))),
inference(resolve,[$cnf( $equal(meet(join(X_87,complement(complement(X_32))),X_32),meet(X_32,join(X_87,X_32))) )],[refute_0_873,refute_0_876]) ).
cnf(refute_0_878,plain,
join(complement(top),meet(join(X_87,complement(complement(X_32))),X_32)) = join(complement(top),meet(join(X_87,complement(complement(X_32))),X_32)),
introduced(tautology,[refl,[$fot(join(complement(top),meet(join(X_87,complement(complement(X_32))),X_32)))]]) ).
cnf(refute_0_879,plain,
( complement(top) != zero
| join(complement(top),meet(join(X_87,complement(complement(X_32))),X_32)) != join(complement(top),meet(join(X_87,complement(complement(X_32))),X_32))
| join(complement(top),meet(join(X_87,complement(complement(X_32))),X_32)) = join(zero,meet(join(X_87,complement(complement(X_32))),X_32)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(join(X_87,complement(complement(X_32))),X_32)),join(complement(top),meet(join(X_87,complement(complement(X_32))),X_32))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_880,plain,
( complement(top) != zero
| join(complement(top),meet(join(X_87,complement(complement(X_32))),X_32)) = join(zero,meet(join(X_87,complement(complement(X_32))),X_32)) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(join(X_87,complement(complement(X_32))),X_32)),join(complement(top),meet(join(X_87,complement(complement(X_32))),X_32))) )],[refute_0_878,refute_0_879]) ).
cnf(refute_0_881,plain,
join(complement(top),meet(join(X_87,complement(complement(X_32))),X_32)) = join(zero,meet(join(X_87,complement(complement(X_32))),X_32)),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_162,refute_0_880]) ).
cnf(refute_0_882,plain,
( join(complement(top),meet(join(X_87,complement(complement(X_32))),X_32)) != join(zero,meet(join(X_87,complement(complement(X_32))),X_32))
| join(zero,meet(join(X_87,complement(complement(X_32))),X_32)) != join(zero,meet(X_32,join(X_87,X_32)))
| join(complement(top),meet(join(X_87,complement(complement(X_32))),X_32)) = join(zero,meet(X_32,join(X_87,X_32))) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(join(complement(top),meet(join(X_87,complement(complement(X_32))),X_32)))),bind(Y,$fot(join(zero,meet(join(X_87,complement(complement(X_32))),X_32)))),bind(Z,$fot(join(zero,meet(X_32,join(X_87,X_32)))))]]) ).
cnf(refute_0_883,plain,
( join(zero,meet(join(X_87,complement(complement(X_32))),X_32)) != join(zero,meet(X_32,join(X_87,X_32)))
| join(complement(top),meet(join(X_87,complement(complement(X_32))),X_32)) = join(zero,meet(X_32,join(X_87,X_32))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(join(X_87,complement(complement(X_32))),X_32)),join(zero,meet(join(X_87,complement(complement(X_32))),X_32))) )],[refute_0_881,refute_0_882]) ).
cnf(refute_0_884,plain,
join(complement(top),meet(join(X_87,complement(complement(X_32))),X_32)) = join(zero,meet(X_32,join(X_87,X_32))),
inference(resolve,[$cnf( $equal(join(zero,meet(join(X_87,complement(complement(X_32))),X_32)),join(zero,meet(X_32,join(X_87,X_32)))) )],[refute_0_877,refute_0_883]) ).
cnf(refute_0_885,plain,
( join(complement(top),meet(join(X_87,complement(complement(X_32))),X_32)) != join(zero,meet(X_32,join(X_87,X_32)))
| join(zero,meet(X_32,join(X_87,X_32))) != meet(X_32,join(X_87,X_32))
| join(complement(top),meet(join(X_87,complement(complement(X_32))),X_32)) = meet(X_32,join(X_87,X_32)) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(join(complement(top),meet(join(X_87,complement(complement(X_32))),X_32)))),bind(Y,$fot(join(zero,meet(X_32,join(X_87,X_32))))),bind(Z,$fot(meet(X_32,join(X_87,X_32))))]]) ).
cnf(refute_0_886,plain,
( join(zero,meet(X_32,join(X_87,X_32))) != meet(X_32,join(X_87,X_32))
| join(complement(top),meet(join(X_87,complement(complement(X_32))),X_32)) = meet(X_32,join(X_87,X_32)) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(join(X_87,complement(complement(X_32))),X_32)),join(zero,meet(X_32,join(X_87,X_32)))) )],[refute_0_884,refute_0_885]) ).
cnf(refute_0_887,plain,
join(complement(top),meet(join(X_87,complement(complement(X_32))),X_32)) = meet(X_32,join(X_87,X_32)),
inference(resolve,[$cnf( $equal(join(zero,meet(X_32,join(X_87,X_32))),meet(X_32,join(X_87,X_32))) )],[refute_0_861,refute_0_886]) ).
cnf(refute_0_888,plain,
join(meet(join(X_87,complement(complement(X_32))),X_32),complement(top)) = join(complement(top),meet(join(X_87,complement(complement(X_32))),X_32)),
inference(subst,[],[refute_0_6:[bind(X0,$fot(complement(top))),bind(X1,$fot(meet(join(X_87,complement(complement(X_32))),X_32)))]]) ).
cnf(refute_0_889,plain,
( join(complement(top),meet(join(X_87,complement(complement(X_32))),X_32)) != meet(X_32,join(X_87,X_32))
| join(meet(join(X_87,complement(complement(X_32))),X_32),complement(top)) != join(complement(top),meet(join(X_87,complement(complement(X_32))),X_32))
| join(meet(join(X_87,complement(complement(X_32))),X_32),complement(top)) = meet(X_32,join(X_87,X_32)) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(join(meet(join(X_87,complement(complement(X_32))),X_32),complement(top)))),bind(Y,$fot(join(complement(top),meet(join(X_87,complement(complement(X_32))),X_32)))),bind(Z,$fot(meet(X_32,join(X_87,X_32))))]]) ).
cnf(refute_0_890,plain,
( join(complement(top),meet(join(X_87,complement(complement(X_32))),X_32)) != meet(X_32,join(X_87,X_32))
| join(meet(join(X_87,complement(complement(X_32))),X_32),complement(top)) = meet(X_32,join(X_87,X_32)) ),
inference(resolve,[$cnf( $equal(join(meet(join(X_87,complement(complement(X_32))),X_32),complement(top)),join(complement(top),meet(join(X_87,complement(complement(X_32))),X_32))) )],[refute_0_888,refute_0_889]) ).
cnf(refute_0_891,plain,
join(meet(join(X_87,complement(complement(X_32))),X_32),complement(top)) = meet(X_32,join(X_87,X_32)),
inference(resolve,[$cnf( $equal(join(complement(top),meet(join(X_87,complement(complement(X_32))),X_32)),meet(X_32,join(X_87,X_32))) )],[refute_0_887,refute_0_890]) ).
cnf(refute_0_892,plain,
( X_32 != join(meet(join(X_87,complement(complement(X_32))),X_32),complement(top))
| join(meet(join(X_87,complement(complement(X_32))),X_32),complement(top)) != meet(X_32,join(X_87,X_32))
| X_32 = meet(X_32,join(X_87,X_32)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_32,meet(X_32,join(X_87,X_32))) ),[0],$fot(join(meet(join(X_87,complement(complement(X_32))),X_32),complement(top)))]]) ).
cnf(refute_0_893,plain,
( X_32 != join(meet(join(X_87,complement(complement(X_32))),X_32),complement(top))
| X_32 = meet(X_32,join(X_87,X_32)) ),
inference(resolve,[$cnf( $equal(join(meet(join(X_87,complement(complement(X_32))),X_32),complement(top)),meet(X_32,join(X_87,X_32))) )],[refute_0_891,refute_0_892]) ).
cnf(refute_0_894,plain,
X_32 = meet(X_32,join(X_87,X_32)),
inference(resolve,[$cnf( $equal(X_32,join(meet(join(X_87,complement(complement(X_32))),X_32),complement(top))) )],[refute_0_860,refute_0_893]) ).
cnf(refute_0_895,plain,
( X_32 != meet(X_32,join(X_87,X_32))
| meet(X_32,join(X_87,X_32)) = X_32 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(X_32)),bind(Y,$fot(meet(X_32,join(X_87,X_32))))]]) ).
cnf(refute_0_896,plain,
meet(X_32,join(X_87,X_32)) = X_32,
inference(resolve,[$cnf( $equal(X_32,meet(X_32,join(X_87,X_32))) )],[refute_0_894,refute_0_895]) ).
cnf(refute_0_897,plain,
meet(skolemFOFtoCNF_X2,join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)) = skolemFOFtoCNF_X2,
inference(subst,[],[refute_0_896:[bind(X_32,$fot(skolemFOFtoCNF_X2)),bind(X_87,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_898,plain,
meet(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),skolemFOFtoCNF_X2) = meet(skolemFOFtoCNF_X2,join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)),
inference(subst,[],[refute_0_189:[bind(X_11,$fot(skolemFOFtoCNF_X2)),bind(X_12,$fot(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)))]]) ).
cnf(refute_0_899,plain,
( meet(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),skolemFOFtoCNF_X2) != meet(skolemFOFtoCNF_X2,join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))
| meet(skolemFOFtoCNF_X2,join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)) != skolemFOFtoCNF_X2
| meet(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),skolemFOFtoCNF_X2) = skolemFOFtoCNF_X2 ),
inference(subst,[],[refute_0_20:[bind(X,$fot(meet(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),skolemFOFtoCNF_X2))),bind(Y,$fot(meet(skolemFOFtoCNF_X2,join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)))),bind(Z,$fot(skolemFOFtoCNF_X2))]]) ).
cnf(refute_0_900,plain,
( meet(skolemFOFtoCNF_X2,join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)) != skolemFOFtoCNF_X2
| meet(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),skolemFOFtoCNF_X2) = skolemFOFtoCNF_X2 ),
inference(resolve,[$cnf( $equal(meet(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),skolemFOFtoCNF_X2),meet(skolemFOFtoCNF_X2,join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))) )],[refute_0_898,refute_0_899]) ).
cnf(refute_0_901,plain,
meet(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),skolemFOFtoCNF_X2) = skolemFOFtoCNF_X2,
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X2,join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)),skolemFOFtoCNF_X2) )],[refute_0_897,refute_0_900]) ).
cnf(refute_0_902,plain,
join(zero,meet(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),skolemFOFtoCNF_X2)) = join(zero,meet(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),skolemFOFtoCNF_X2)),
introduced(tautology,[refl,[$fot(join(zero,meet(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),skolemFOFtoCNF_X2)))]]) ).
cnf(refute_0_903,plain,
( join(zero,meet(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),skolemFOFtoCNF_X2)) != join(zero,meet(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),skolemFOFtoCNF_X2))
| meet(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),skolemFOFtoCNF_X2) != skolemFOFtoCNF_X2
| join(zero,meet(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),skolemFOFtoCNF_X2)) = join(zero,skolemFOFtoCNF_X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),skolemFOFtoCNF_X2)),join(zero,meet(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),skolemFOFtoCNF_X2))) ),[1,1],$fot(skolemFOFtoCNF_X2)]]) ).
cnf(refute_0_904,plain,
( meet(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),skolemFOFtoCNF_X2) != skolemFOFtoCNF_X2
| join(zero,meet(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),skolemFOFtoCNF_X2)) = join(zero,skolemFOFtoCNF_X2) ),
inference(resolve,[$cnf( $equal(join(zero,meet(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),skolemFOFtoCNF_X2)),join(zero,meet(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),skolemFOFtoCNF_X2))) )],[refute_0_902,refute_0_903]) ).
cnf(refute_0_905,plain,
join(zero,meet(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),skolemFOFtoCNF_X2)) = join(zero,skolemFOFtoCNF_X2),
inference(resolve,[$cnf( $equal(meet(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),skolemFOFtoCNF_X2),skolemFOFtoCNF_X2) )],[refute_0_901,refute_0_904]) ).
cnf(refute_0_906,plain,
join(complement(top),meet(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),skolemFOFtoCNF_X2)) = join(complement(top),meet(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),skolemFOFtoCNF_X2)),
introduced(tautology,[refl,[$fot(join(complement(top),meet(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),skolemFOFtoCNF_X2)))]]) ).
cnf(refute_0_907,plain,
( complement(top) != zero
| join(complement(top),meet(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),skolemFOFtoCNF_X2)) != join(complement(top),meet(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),skolemFOFtoCNF_X2))
| join(complement(top),meet(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),skolemFOFtoCNF_X2)) = join(zero,meet(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),skolemFOFtoCNF_X2)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),skolemFOFtoCNF_X2)),join(complement(top),meet(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),skolemFOFtoCNF_X2))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_908,plain,
( complement(top) != zero
| join(complement(top),meet(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),skolemFOFtoCNF_X2)) = join(zero,meet(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),skolemFOFtoCNF_X2)) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),skolemFOFtoCNF_X2)),join(complement(top),meet(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),skolemFOFtoCNF_X2))) )],[refute_0_906,refute_0_907]) ).
cnf(refute_0_909,plain,
join(complement(top),meet(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),skolemFOFtoCNF_X2)) = join(zero,meet(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),skolemFOFtoCNF_X2)),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_162,refute_0_908]) ).
cnf(refute_0_910,plain,
( join(complement(top),meet(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),skolemFOFtoCNF_X2)) != join(zero,meet(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),skolemFOFtoCNF_X2))
| join(zero,meet(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),skolemFOFtoCNF_X2)) != join(zero,skolemFOFtoCNF_X2)
| join(complement(top),meet(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),skolemFOFtoCNF_X2)) = join(zero,skolemFOFtoCNF_X2) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(join(complement(top),meet(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),skolemFOFtoCNF_X2)))),bind(Y,$fot(join(zero,meet(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),skolemFOFtoCNF_X2)))),bind(Z,$fot(join(zero,skolemFOFtoCNF_X2)))]]) ).
cnf(refute_0_911,plain,
( join(zero,meet(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),skolemFOFtoCNF_X2)) != join(zero,skolemFOFtoCNF_X2)
| join(complement(top),meet(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),skolemFOFtoCNF_X2)) = join(zero,skolemFOFtoCNF_X2) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),skolemFOFtoCNF_X2)),join(zero,meet(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),skolemFOFtoCNF_X2))) )],[refute_0_909,refute_0_910]) ).
cnf(refute_0_912,plain,
join(complement(top),meet(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),skolemFOFtoCNF_X2)) = join(zero,skolemFOFtoCNF_X2),
inference(resolve,[$cnf( $equal(join(zero,meet(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),skolemFOFtoCNF_X2)),join(zero,skolemFOFtoCNF_X2)) )],[refute_0_905,refute_0_911]) ).
cnf(refute_0_913,plain,
( join(complement(top),meet(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),skolemFOFtoCNF_X2)) != join(zero,skolemFOFtoCNF_X2)
| join(zero,skolemFOFtoCNF_X2) != skolemFOFtoCNF_X2
| join(complement(top),meet(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),skolemFOFtoCNF_X2)) = skolemFOFtoCNF_X2 ),
inference(subst,[],[refute_0_20:[bind(X,$fot(join(complement(top),meet(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),skolemFOFtoCNF_X2)))),bind(Y,$fot(join(zero,skolemFOFtoCNF_X2))),bind(Z,$fot(skolemFOFtoCNF_X2))]]) ).
cnf(refute_0_914,plain,
( join(zero,skolemFOFtoCNF_X2) != skolemFOFtoCNF_X2
| join(complement(top),meet(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),skolemFOFtoCNF_X2)) = skolemFOFtoCNF_X2 ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),skolemFOFtoCNF_X2)),join(zero,skolemFOFtoCNF_X2)) )],[refute_0_912,refute_0_913]) ).
cnf(refute_0_915,plain,
join(complement(top),meet(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),skolemFOFtoCNF_X2)) = skolemFOFtoCNF_X2,
inference(resolve,[$cnf( $equal(join(zero,skolemFOFtoCNF_X2),skolemFOFtoCNF_X2) )],[refute_0_848,refute_0_914]) ).
cnf(refute_0_916,plain,
join(meet(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),skolemFOFtoCNF_X2),complement(top)) = join(complement(top),meet(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),skolemFOFtoCNF_X2)),
inference(subst,[],[refute_0_6:[bind(X0,$fot(complement(top))),bind(X1,$fot(meet(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),skolemFOFtoCNF_X2)))]]) ).
cnf(refute_0_917,plain,
( join(complement(top),meet(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),skolemFOFtoCNF_X2)) != skolemFOFtoCNF_X2
| join(meet(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),skolemFOFtoCNF_X2),complement(top)) != join(complement(top),meet(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),skolemFOFtoCNF_X2))
| join(meet(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),skolemFOFtoCNF_X2),complement(top)) = skolemFOFtoCNF_X2 ),
inference(subst,[],[refute_0_20:[bind(X,$fot(join(meet(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),skolemFOFtoCNF_X2),complement(top)))),bind(Y,$fot(join(complement(top),meet(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),skolemFOFtoCNF_X2)))),bind(Z,$fot(skolemFOFtoCNF_X2))]]) ).
cnf(refute_0_918,plain,
( join(complement(top),meet(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),skolemFOFtoCNF_X2)) != skolemFOFtoCNF_X2
| join(meet(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),skolemFOFtoCNF_X2),complement(top)) = skolemFOFtoCNF_X2 ),
inference(resolve,[$cnf( $equal(join(meet(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),skolemFOFtoCNF_X2),complement(top)),join(complement(top),meet(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),skolemFOFtoCNF_X2))) )],[refute_0_916,refute_0_917]) ).
cnf(refute_0_919,plain,
join(meet(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),skolemFOFtoCNF_X2),complement(top)) = skolemFOFtoCNF_X2,
inference(resolve,[$cnf( $equal(join(complement(top),meet(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),skolemFOFtoCNF_X2)),skolemFOFtoCNF_X2) )],[refute_0_915,refute_0_918]) ).
cnf(refute_0_920,plain,
( join(meet(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),skolemFOFtoCNF_X2),complement(top)) != skolemFOFtoCNF_X2
| join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2) != join(meet(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),skolemFOFtoCNF_X2),complement(top))
| join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2) = skolemFOFtoCNF_X2 ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),join(meet(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),skolemFOFtoCNF_X2),complement(top))) ),[1],$fot(skolemFOFtoCNF_X2)]]) ).
cnf(refute_0_921,plain,
( join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2) != join(meet(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),skolemFOFtoCNF_X2),complement(top))
| join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2) = skolemFOFtoCNF_X2 ),
inference(resolve,[$cnf( $equal(join(meet(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),skolemFOFtoCNF_X2),complement(top)),skolemFOFtoCNF_X2) )],[refute_0_919,refute_0_920]) ).
cnf(refute_0_922,plain,
join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2) = skolemFOFtoCNF_X2,
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),join(meet(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),skolemFOFtoCNF_X2),complement(top))) )],[refute_0_847,refute_0_921]) ).
cnf(refute_0_923,plain,
join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2) != skolemFOFtoCNF_X2,
inference(canonicalize,[],[normalize_0_19]) ).
cnf(refute_0_924,plain,
$false,
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),skolemFOFtoCNF_X2) )],[refute_0_922,refute_0_923]) ).
fof(negate_1_0,plain,
~ ! [X0,X1,X2] :
( ( join(join(X0,X1),X2) = X2
& join(X0,X2) = X2 )
=> join(X1,X2) = X2 ),
inference(negate,[],[subgoal_1]) ).
fof(normalize_1_0,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(canonicalize,[],[maddux1_join_commutativity]) ).
fof(normalize_1_1,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(specialize,[],[normalize_1_0]) ).
fof(normalize_1_2,plain,
? [X0,X1,X2] :
( join(X1,X2) != X2
& join(X0,X2) = X2
& join(join(X0,X1),X2) = X2 ),
inference(canonicalize,[],[negate_1_0]) ).
fof(normalize_1_3,plain,
( join(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X2_1) != skolemFOFtoCNF_X2_1
& join(join(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X2_1) = skolemFOFtoCNF_X2_1
& join(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X2_1) = skolemFOFtoCNF_X2_1 ),
inference(skolemize,[],[normalize_1_2]) ).
fof(normalize_1_4,plain,
join(join(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X2_1) = skolemFOFtoCNF_X2_1,
inference(conjunct,[],[normalize_1_3]) ).
fof(normalize_1_5,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(canonicalize,[],[maddux2_join_associativity]) ).
fof(normalize_1_6,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(specialize,[],[normalize_1_5]) ).
fof(normalize_1_7,plain,
join(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X2_1) = skolemFOFtoCNF_X2_1,
inference(conjunct,[],[normalize_1_3]) ).
fof(normalize_1_8,plain,
join(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X2_1) != skolemFOFtoCNF_X2_1,
inference(conjunct,[],[normalize_1_3]) ).
cnf(refute_1_0,plain,
join(X0,X1) = join(X1,X0),
inference(canonicalize,[],[normalize_1_1]) ).
cnf(refute_1_1,plain,
join(skolemFOFtoCNF_X0_1,join(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X2_1)) = join(join(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X2_1),skolemFOFtoCNF_X0_1),
inference(subst,[],[refute_1_0:[bind(X0,$fot(skolemFOFtoCNF_X0_1)),bind(X1,$fot(join(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X2_1)))]]) ).
cnf(refute_1_2,plain,
join(join(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X2_1) = skolemFOFtoCNF_X2_1,
inference(canonicalize,[],[normalize_1_4]) ).
cnf(refute_1_3,plain,
join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(canonicalize,[],[normalize_1_6]) ).
cnf(refute_1_4,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_1_5,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_1_6,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_1_4,refute_1_5]) ).
cnf(refute_1_7,plain,
( join(X0,join(X1,X2)) != join(join(X0,X1),X2)
| join(join(X0,X1),X2) = join(X0,join(X1,X2)) ),
inference(subst,[],[refute_1_6:[bind(X,$fot(join(X0,join(X1,X2)))),bind(Y,$fot(join(join(X0,X1),X2)))]]) ).
cnf(refute_1_8,plain,
join(join(X0,X1),X2) = join(X0,join(X1,X2)),
inference(resolve,[$cnf( $equal(join(X0,join(X1,X2)),join(join(X0,X1),X2)) )],[refute_1_3,refute_1_7]) ).
cnf(refute_1_9,plain,
join(join(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X2_1) = join(skolemFOFtoCNF_X0_1,join(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X2_1)),
inference(subst,[],[refute_1_8:[bind(X0,$fot(skolemFOFtoCNF_X0_1)),bind(X1,$fot(skolemFOFtoCNF_X1_1)),bind(X2,$fot(skolemFOFtoCNF_X2_1))]]) ).
cnf(refute_1_10,plain,
( join(join(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X2_1) != join(skolemFOFtoCNF_X0_1,join(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X2_1))
| join(join(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X2_1) != skolemFOFtoCNF_X2_1
| join(skolemFOFtoCNF_X0_1,join(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X2_1)) = skolemFOFtoCNF_X2_1 ),
introduced(tautology,[equality,[$cnf( $equal(join(join(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X2_1),skolemFOFtoCNF_X2_1) ),[0],$fot(join(skolemFOFtoCNF_X0_1,join(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X2_1)))]]) ).
cnf(refute_1_11,plain,
( join(join(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X2_1) != skolemFOFtoCNF_X2_1
| join(skolemFOFtoCNF_X0_1,join(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X2_1)) = skolemFOFtoCNF_X2_1 ),
inference(resolve,[$cnf( $equal(join(join(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X2_1),join(skolemFOFtoCNF_X0_1,join(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X2_1))) )],[refute_1_9,refute_1_10]) ).
cnf(refute_1_12,plain,
join(skolemFOFtoCNF_X0_1,join(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X2_1)) = skolemFOFtoCNF_X2_1,
inference(resolve,[$cnf( $equal(join(join(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X2_1),skolemFOFtoCNF_X2_1) )],[refute_1_2,refute_1_11]) ).
cnf(refute_1_13,plain,
( join(skolemFOFtoCNF_X0_1,join(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X2_1)) != join(join(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X2_1),skolemFOFtoCNF_X0_1)
| join(skolemFOFtoCNF_X0_1,join(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X2_1)) != skolemFOFtoCNF_X2_1
| skolemFOFtoCNF_X2_1 = join(join(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X2_1),skolemFOFtoCNF_X0_1) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,join(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X2_1)),join(join(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X2_1),skolemFOFtoCNF_X0_1)) ),[0],$fot(skolemFOFtoCNF_X2_1)]]) ).
cnf(refute_1_14,plain,
( join(skolemFOFtoCNF_X0_1,join(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X2_1)) != join(join(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X2_1),skolemFOFtoCNF_X0_1)
| skolemFOFtoCNF_X2_1 = join(join(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X2_1),skolemFOFtoCNF_X0_1) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,join(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X2_1)),skolemFOFtoCNF_X2_1) )],[refute_1_12,refute_1_13]) ).
cnf(refute_1_15,plain,
skolemFOFtoCNF_X2_1 = join(join(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X2_1),skolemFOFtoCNF_X0_1),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,join(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X2_1)),join(join(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X2_1),skolemFOFtoCNF_X0_1)) )],[refute_1_1,refute_1_14]) ).
cnf(refute_1_16,plain,
join(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X2_1) = skolemFOFtoCNF_X2_1,
inference(canonicalize,[],[normalize_1_7]) ).
cnf(refute_1_17,plain,
( join(X0,X1) != join(X1,X0)
| join(X1,X0) = join(X0,X1) ),
inference(subst,[],[refute_1_6:[bind(X,$fot(join(X0,X1))),bind(Y,$fot(join(X1,X0)))]]) ).
cnf(refute_1_18,plain,
join(X1,X0) = join(X0,X1),
inference(resolve,[$cnf( $equal(join(X0,X1),join(X1,X0)) )],[refute_1_0,refute_1_17]) ).
cnf(refute_1_19,plain,
join(skolemFOFtoCNF_X2_1,skolemFOFtoCNF_X0_1) = join(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X2_1),
inference(subst,[],[refute_1_18:[bind(X0,$fot(skolemFOFtoCNF_X0_1)),bind(X1,$fot(skolemFOFtoCNF_X2_1))]]) ).
cnf(refute_1_20,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_1_21,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_1_6,refute_1_20]) ).
cnf(refute_1_22,plain,
( join(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X2_1) != skolemFOFtoCNF_X2_1
| join(skolemFOFtoCNF_X2_1,skolemFOFtoCNF_X0_1) != join(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X2_1)
| join(skolemFOFtoCNF_X2_1,skolemFOFtoCNF_X0_1) = skolemFOFtoCNF_X2_1 ),
inference(subst,[],[refute_1_21:[bind(X,$fot(join(skolemFOFtoCNF_X2_1,skolemFOFtoCNF_X0_1))),bind(Y,$fot(join(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X2_1))),bind(Z,$fot(skolemFOFtoCNF_X2_1))]]) ).
cnf(refute_1_23,plain,
( join(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X2_1) != skolemFOFtoCNF_X2_1
| join(skolemFOFtoCNF_X2_1,skolemFOFtoCNF_X0_1) = skolemFOFtoCNF_X2_1 ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X2_1,skolemFOFtoCNF_X0_1),join(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X2_1)) )],[refute_1_19,refute_1_22]) ).
cnf(refute_1_24,plain,
join(skolemFOFtoCNF_X2_1,skolemFOFtoCNF_X0_1) = skolemFOFtoCNF_X2_1,
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,skolemFOFtoCNF_X2_1),skolemFOFtoCNF_X2_1) )],[refute_1_16,refute_1_23]) ).
cnf(refute_1_25,plain,
join(skolemFOFtoCNF_X1_1,join(skolemFOFtoCNF_X2_1,skolemFOFtoCNF_X0_1)) = join(skolemFOFtoCNF_X1_1,join(skolemFOFtoCNF_X2_1,skolemFOFtoCNF_X0_1)),
introduced(tautology,[refl,[$fot(join(skolemFOFtoCNF_X1_1,join(skolemFOFtoCNF_X2_1,skolemFOFtoCNF_X0_1)))]]) ).
cnf(refute_1_26,plain,
( join(skolemFOFtoCNF_X1_1,join(skolemFOFtoCNF_X2_1,skolemFOFtoCNF_X0_1)) != join(skolemFOFtoCNF_X1_1,join(skolemFOFtoCNF_X2_1,skolemFOFtoCNF_X0_1))
| join(skolemFOFtoCNF_X2_1,skolemFOFtoCNF_X0_1) != skolemFOFtoCNF_X2_1
| join(skolemFOFtoCNF_X1_1,join(skolemFOFtoCNF_X2_1,skolemFOFtoCNF_X0_1)) = join(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X2_1) ),
introduced(tautology,[equality,[$cnf( $equal(join(skolemFOFtoCNF_X1_1,join(skolemFOFtoCNF_X2_1,skolemFOFtoCNF_X0_1)),join(skolemFOFtoCNF_X1_1,join(skolemFOFtoCNF_X2_1,skolemFOFtoCNF_X0_1))) ),[1,1],$fot(skolemFOFtoCNF_X2_1)]]) ).
cnf(refute_1_27,plain,
( join(skolemFOFtoCNF_X2_1,skolemFOFtoCNF_X0_1) != skolemFOFtoCNF_X2_1
| join(skolemFOFtoCNF_X1_1,join(skolemFOFtoCNF_X2_1,skolemFOFtoCNF_X0_1)) = join(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X2_1) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X1_1,join(skolemFOFtoCNF_X2_1,skolemFOFtoCNF_X0_1)),join(skolemFOFtoCNF_X1_1,join(skolemFOFtoCNF_X2_1,skolemFOFtoCNF_X0_1))) )],[refute_1_25,refute_1_26]) ).
cnf(refute_1_28,plain,
join(skolemFOFtoCNF_X1_1,join(skolemFOFtoCNF_X2_1,skolemFOFtoCNF_X0_1)) = join(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X2_1),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X2_1,skolemFOFtoCNF_X0_1),skolemFOFtoCNF_X2_1) )],[refute_1_24,refute_1_27]) ).
cnf(refute_1_29,plain,
join(join(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X2_1),skolemFOFtoCNF_X0_1) = join(skolemFOFtoCNF_X1_1,join(skolemFOFtoCNF_X2_1,skolemFOFtoCNF_X0_1)),
inference(subst,[],[refute_1_8:[bind(X0,$fot(skolemFOFtoCNF_X1_1)),bind(X1,$fot(skolemFOFtoCNF_X2_1)),bind(X2,$fot(skolemFOFtoCNF_X0_1))]]) ).
cnf(refute_1_30,plain,
( join(join(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X2_1),skolemFOFtoCNF_X0_1) != join(skolemFOFtoCNF_X1_1,join(skolemFOFtoCNF_X2_1,skolemFOFtoCNF_X0_1))
| join(skolemFOFtoCNF_X1_1,join(skolemFOFtoCNF_X2_1,skolemFOFtoCNF_X0_1)) != join(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X2_1)
| join(join(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X2_1),skolemFOFtoCNF_X0_1) = join(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X2_1) ),
inference(subst,[],[refute_1_21:[bind(X,$fot(join(join(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X2_1),skolemFOFtoCNF_X0_1))),bind(Y,$fot(join(skolemFOFtoCNF_X1_1,join(skolemFOFtoCNF_X2_1,skolemFOFtoCNF_X0_1)))),bind(Z,$fot(join(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X2_1)))]]) ).
cnf(refute_1_31,plain,
( join(skolemFOFtoCNF_X1_1,join(skolemFOFtoCNF_X2_1,skolemFOFtoCNF_X0_1)) != join(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X2_1)
| join(join(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X2_1),skolemFOFtoCNF_X0_1) = join(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X2_1) ),
inference(resolve,[$cnf( $equal(join(join(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X2_1),skolemFOFtoCNF_X0_1),join(skolemFOFtoCNF_X1_1,join(skolemFOFtoCNF_X2_1,skolemFOFtoCNF_X0_1))) )],[refute_1_29,refute_1_30]) ).
cnf(refute_1_32,plain,
join(join(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X2_1),skolemFOFtoCNF_X0_1) = join(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X2_1),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X1_1,join(skolemFOFtoCNF_X2_1,skolemFOFtoCNF_X0_1)),join(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X2_1)) )],[refute_1_28,refute_1_31]) ).
cnf(refute_1_33,plain,
( join(join(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X2_1),skolemFOFtoCNF_X0_1) != join(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X2_1)
| skolemFOFtoCNF_X2_1 != join(join(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X2_1),skolemFOFtoCNF_X0_1)
| skolemFOFtoCNF_X2_1 = join(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X2_1) ),
introduced(tautology,[equality,[$cnf( $equal(skolemFOFtoCNF_X2_1,join(join(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X2_1),skolemFOFtoCNF_X0_1)) ),[1],$fot(join(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X2_1))]]) ).
cnf(refute_1_34,plain,
( skolemFOFtoCNF_X2_1 != join(join(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X2_1),skolemFOFtoCNF_X0_1)
| skolemFOFtoCNF_X2_1 = join(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X2_1) ),
inference(resolve,[$cnf( $equal(join(join(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X2_1),skolemFOFtoCNF_X0_1),join(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X2_1)) )],[refute_1_32,refute_1_33]) ).
cnf(refute_1_35,plain,
skolemFOFtoCNF_X2_1 = join(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X2_1),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X2_1,join(join(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X2_1),skolemFOFtoCNF_X0_1)) )],[refute_1_15,refute_1_34]) ).
cnf(refute_1_36,plain,
join(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X2_1) != skolemFOFtoCNF_X2_1,
inference(canonicalize,[],[normalize_1_8]) ).
cnf(refute_1_37,plain,
( skolemFOFtoCNF_X2_1 != join(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X2_1)
| join(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X2_1) = skolemFOFtoCNF_X2_1 ),
inference(subst,[],[refute_1_6:[bind(X,$fot(skolemFOFtoCNF_X2_1)),bind(Y,$fot(join(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X2_1)))]]) ).
cnf(refute_1_38,plain,
skolemFOFtoCNF_X2_1 != join(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X2_1),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X2_1),skolemFOFtoCNF_X2_1) )],[refute_1_37,refute_1_36]) ).
cnf(refute_1_39,plain,
$false,
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_X2_1,join(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X2_1)) )],[refute_1_35,refute_1_38]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : REL048+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : metis --show proof --show saturation %s
% 0.12/0.34 % Computer : n028.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Fri Jul 8 15:20:40 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.83/1.01 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.83/1.01
% 0.83/1.01 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.92/1.11
%------------------------------------------------------------------------------