TSTP Solution File: REL012+2 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : REL012+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Mon Jul 18 19:43:20 EDT 2022
% Result : Theorem 64.62s 64.80s
% Output : CNFRefutation 64.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 152
% Number of leaves : 443
% Syntax : Number of formulae : 1908 ( 976 unt; 0 def)
% Number of atoms : 3250 (3249 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 2690 (1348 ~;1342 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 2201 ( 36 sgn 72 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(maddux1_join_commutativity,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0) ).
fof(maddux2_join_associativity,axiom,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2) ).
fof(maddux3_a_kind_of_de_Morgan,axiom,
! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) ).
fof(maddux4_definiton_of_meet,axiom,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))) ).
fof(composition_identity,axiom,
! [X0] : composition(X0,one) = X0 ).
fof(composition_distributivity,axiom,
! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)) ).
fof(converse_idempotence,axiom,
! [X0] : converse(converse(X0)) = X0 ).
fof(converse_additivity,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)) ).
fof(converse_multiplicativity,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)) ).
fof(converse_cancellativity,axiom,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1) ).
fof(def_top,axiom,
! [X0] : top = join(X0,complement(X0)) ).
fof(def_zero,axiom,
! [X0] : zero = meet(X0,complement(X0)) ).
fof(goals,conjecture,
! [X0,X1] : join(composition(complement(composition(X0,X1)),converse(X1)),complement(X0)) = complement(X0) ).
fof(subgoal_0,plain,
! [X0,X1] : join(composition(complement(composition(X0,X1)),converse(X1)),complement(X0)) = complement(X0),
inference(strip,[],[goals]) ).
fof(negate_0_0,plain,
~ ! [X0,X1] : join(composition(complement(composition(X0,X1)),converse(X1)),complement(X0)) = complement(X0),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [X0,X1] : join(composition(complement(composition(X0,X1)),converse(X1)),complement(X0)) != complement(X0),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
join(composition(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),converse(skolemFOFtoCNF_X1)),complement(skolemFOFtoCNF_X0)) != complement(skolemFOFtoCNF_X0),
inference(skolemize,[],[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] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
inference(canonicalize,[],[maddux3_a_kind_of_de_Morgan]) ).
fof(normalize_0_5,plain,
! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
inference(specialize,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
inference(canonicalize,[],[maddux4_definiton_of_meet]) ).
fof(normalize_0_7,plain,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
inference(specialize,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(canonicalize,[],[composition_distributivity]) ).
fof(normalize_0_9,plain,
! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(specialize,[],[normalize_0_8]) ).
fof(normalize_0_10,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(canonicalize,[],[converse_multiplicativity]) ).
fof(normalize_0_11,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
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] : composition(X0,one) = X0,
inference(canonicalize,[],[composition_identity]) ).
fof(normalize_0_15,plain,
! [X0] : composition(X0,one) = X0,
inference(specialize,[],[normalize_0_14]) ).
fof(normalize_0_16,plain,
! [X0] : top = join(X0,complement(X0)),
inference(canonicalize,[],[def_top]) ).
fof(normalize_0_17,plain,
! [X0] : top = join(X0,complement(X0)),
inference(specialize,[],[normalize_0_16]) ).
fof(normalize_0_18,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(canonicalize,[],[def_zero]) ).
fof(normalize_0_19,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(specialize,[],[normalize_0_18]) ).
fof(normalize_0_20,plain,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
inference(canonicalize,[],[converse_cancellativity]) ).
fof(normalize_0_21,plain,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
inference(specialize,[],[normalize_0_20]) ).
fof(normalize_0_22,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(canonicalize,[],[converse_additivity]) ).
fof(normalize_0_23,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(specialize,[],[normalize_0_22]) ).
fof(normalize_0_24,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(canonicalize,[],[maddux2_join_associativity]) ).
fof(normalize_0_25,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(specialize,[],[normalize_0_24]) ).
cnf(refute_0_0,plain,
join(composition(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),converse(skolemFOFtoCNF_X1)),complement(skolemFOFtoCNF_X0)) != complement(skolemFOFtoCNF_X0),
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( $equal(join(X0,X1),join(X1,X0)) )],[refute_0_1,refute_0_5]) ).
cnf(refute_0_7,plain,
join(composition(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),converse(skolemFOFtoCNF_X1)),complement(skolemFOFtoCNF_X0)) = join(complement(skolemFOFtoCNF_X0),composition(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),converse(skolemFOFtoCNF_X1))),
inference(subst,[],[refute_0_6:[bind(X0,$fot(complement(skolemFOFtoCNF_X0))),bind(X1,$fot(composition(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),converse(skolemFOFtoCNF_X1))))]]) ).
cnf(refute_0_8,plain,
( join(complement(skolemFOFtoCNF_X0),composition(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),converse(skolemFOFtoCNF_X1))) != complement(skolemFOFtoCNF_X0)
| join(composition(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),converse(skolemFOFtoCNF_X1)),complement(skolemFOFtoCNF_X0)) != join(complement(skolemFOFtoCNF_X0),composition(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),converse(skolemFOFtoCNF_X1)))
| join(composition(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),converse(skolemFOFtoCNF_X1)),complement(skolemFOFtoCNF_X0)) = complement(skolemFOFtoCNF_X0) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),converse(skolemFOFtoCNF_X1)),complement(skolemFOFtoCNF_X0)),join(complement(skolemFOFtoCNF_X0),composition(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),converse(skolemFOFtoCNF_X1)))) ),[1],$fot(complement(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_9,plain,
( join(complement(skolemFOFtoCNF_X0),composition(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),converse(skolemFOFtoCNF_X1))) != complement(skolemFOFtoCNF_X0)
| join(composition(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),converse(skolemFOFtoCNF_X1)),complement(skolemFOFtoCNF_X0)) = complement(skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(join(composition(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),converse(skolemFOFtoCNF_X1)),complement(skolemFOFtoCNF_X0)),join(complement(skolemFOFtoCNF_X0),composition(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),converse(skolemFOFtoCNF_X1)))) )],[refute_0_7,refute_0_8]) ).
cnf(refute_0_10,plain,
join(complement(skolemFOFtoCNF_X0),composition(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),converse(skolemFOFtoCNF_X1))) != complement(skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(join(composition(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),converse(skolemFOFtoCNF_X1)),complement(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X0)) )],[refute_0_9,refute_0_0]) ).
cnf(refute_0_11,plain,
X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
inference(canonicalize,[],[normalize_0_5]) ).
cnf(refute_0_12,plain,
join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),
inference(subst,[],[refute_0_6:[bind(X0,$fot(complement(join(complement(X0),X1)))),bind(X1,$fot(complement(join(complement(X0),complement(X1)))))]]) ).
cnf(refute_0_13,plain,
( X0 != join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1)))
| join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) != join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1))))
| X0 = join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) ),
introduced(tautology,[equality,[$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_14,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( $equal(join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1))))) )],[refute_0_12,refute_0_13]) ).
cnf(refute_0_15,plain,
X0 = join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),
inference(resolve,[$cnf( $equal(X0,join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1)))) )],[refute_0_11,refute_0_14]) ).
cnf(refute_0_16,plain,
join(complement(join(complement(X0),X1)),meet(X0,X1)) = join(meet(X0,X1),complement(join(complement(X0),X1))),
inference(subst,[],[refute_0_6:[bind(X0,$fot(meet(X0,X1))),bind(X1,$fot(complement(join(complement(X0),X1))))]]) ).
cnf(refute_0_17,plain,
meet(X0,X1) = complement(join(complement(X0),complement(X1))),
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_18,plain,
( meet(X0,X1) != complement(join(complement(X0),complement(X1)))
| complement(join(complement(X0),complement(X1))) = meet(X0,X1) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(meet(X0,X1))),bind(Y,$fot(complement(join(complement(X0),complement(X1)))))]]) ).
cnf(refute_0_19,plain,
complement(join(complement(X0),complement(X1))) = meet(X0,X1),
inference(resolve,[$cnf( $equal(meet(X0,X1),complement(join(complement(X0),complement(X1)))) )],[refute_0_17,refute_0_18]) ).
cnf(refute_0_20,plain,
join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),
introduced(tautology,[refl,[$fot(join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))))]]) ).
cnf(refute_0_21,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_22,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( $equal(join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1))))) )],[refute_0_20,refute_0_21]) ).
cnf(refute_0_23,plain,
join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = join(complement(join(complement(X0),X1)),meet(X0,X1)),
inference(resolve,[$cnf( $equal(complement(join(complement(X0),complement(X1))),meet(X0,X1)) )],[refute_0_19,refute_0_22]) ).
cnf(refute_0_24,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_25,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_4,refute_0_24]) ).
cnf(refute_0_26,plain,
( join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) != join(complement(join(complement(X0),X1)),meet(X0,X1))
| join(complement(join(complement(X0),X1)),meet(X0,X1)) != join(meet(X0,X1),complement(join(complement(X0),X1)))
| join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = join(meet(X0,X1),complement(join(complement(X0),X1))) ),
inference(subst,[],[refute_0_25:[bind(X,$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_27,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( $equal(join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),join(complement(join(complement(X0),X1)),meet(X0,X1))) )],[refute_0_23,refute_0_26]) ).
cnf(refute_0_28,plain,
join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = join(meet(X0,X1),complement(join(complement(X0),X1))),
inference(resolve,[$cnf( $equal(join(complement(join(complement(X0),X1)),meet(X0,X1)),join(meet(X0,X1),complement(join(complement(X0),X1)))) )],[refute_0_16,refute_0_27]) ).
cnf(refute_0_29,plain,
( X0 != join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1))))
| join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) != join(meet(X0,X1),complement(join(complement(X0),X1)))
| X0 = join(meet(X0,X1),complement(join(complement(X0),X1))) ),
introduced(tautology,[equality,[$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_30,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( $equal(join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),join(meet(X0,X1),complement(join(complement(X0),X1)))) )],[refute_0_28,refute_0_29]) ).
cnf(refute_0_31,plain,
X0 = join(meet(X0,X1),complement(join(complement(X0),X1))),
inference(resolve,[$cnf( $equal(X0,join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1))))) )],[refute_0_15,refute_0_30]) ).
cnf(refute_0_32,plain,
meet(X_39,X_40) = complement(join(complement(X_39),complement(X_40))),
inference(subst,[],[refute_0_17:[bind(X0,$fot(X_39)),bind(X1,$fot(X_40))]]) ).
cnf(refute_0_33,plain,
join(complement(X_40),complement(X_39)) = join(complement(X_39),complement(X_40)),
inference(subst,[],[refute_0_1:[bind(X0,$fot(complement(X_40))),bind(X1,$fot(complement(X_39)))]]) ).
cnf(refute_0_34,plain,
( join(complement(X_40),complement(X_39)) != join(complement(X_39),complement(X_40))
| join(complement(X_39),complement(X_40)) = join(complement(X_40),complement(X_39)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(complement(X_40),complement(X_39)))),bind(Y,$fot(join(complement(X_39),complement(X_40))))]]) ).
cnf(refute_0_35,plain,
join(complement(X_39),complement(X_40)) = join(complement(X_40),complement(X_39)),
inference(resolve,[$cnf( $equal(join(complement(X_40),complement(X_39)),join(complement(X_39),complement(X_40))) )],[refute_0_33,refute_0_34]) ).
cnf(refute_0_36,plain,
( join(complement(X_39),complement(X_40)) != join(complement(X_40),complement(X_39))
| meet(X_39,X_40) != complement(join(complement(X_39),complement(X_40)))
| meet(X_39,X_40) = complement(join(complement(X_40),complement(X_39))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_39,X_40),complement(join(complement(X_39),complement(X_40)))) ),[1,0],$fot(join(complement(X_40),complement(X_39)))]]) ).
cnf(refute_0_37,plain,
( meet(X_39,X_40) != complement(join(complement(X_39),complement(X_40)))
| meet(X_39,X_40) = complement(join(complement(X_40),complement(X_39))) ),
inference(resolve,[$cnf( $equal(join(complement(X_39),complement(X_40)),join(complement(X_40),complement(X_39))) )],[refute_0_35,refute_0_36]) ).
cnf(refute_0_38,plain,
meet(X_39,X_40) = complement(join(complement(X_40),complement(X_39))),
inference(resolve,[$cnf( $equal(meet(X_39,X_40),complement(join(complement(X_39),complement(X_40)))) )],[refute_0_32,refute_0_37]) ).
cnf(refute_0_39,plain,
complement(join(complement(X_40),complement(X_39))) = meet(X_40,X_39),
inference(subst,[],[refute_0_19:[bind(X0,$fot(X_40)),bind(X1,$fot(X_39))]]) ).
cnf(refute_0_40,plain,
( complement(join(complement(X_40),complement(X_39))) != meet(X_40,X_39)
| meet(X_39,X_40) != complement(join(complement(X_40),complement(X_39)))
| meet(X_39,X_40) = meet(X_40,X_39) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_39,X_40),complement(join(complement(X_40),complement(X_39)))) ),[1],$fot(meet(X_40,X_39))]]) ).
cnf(refute_0_41,plain,
( meet(X_39,X_40) != complement(join(complement(X_40),complement(X_39)))
| meet(X_39,X_40) = meet(X_40,X_39) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_40),complement(X_39))),meet(X_40,X_39)) )],[refute_0_39,refute_0_40]) ).
cnf(refute_0_42,plain,
meet(X_39,X_40) = meet(X_40,X_39),
inference(resolve,[$cnf( $equal(meet(X_39,X_40),complement(join(complement(X_40),complement(X_39)))) )],[refute_0_38,refute_0_41]) ).
cnf(refute_0_43,plain,
meet(X0,X1) = meet(X1,X0),
inference(subst,[],[refute_0_42:[bind(X_39,$fot(X0)),bind(X_40,$fot(X1))]]) ).
cnf(refute_0_44,plain,
( X0 != join(meet(X0,X1),complement(join(complement(X0),X1)))
| meet(X0,X1) != meet(X1,X0)
| X0 = join(meet(X1,X0),complement(join(complement(X0),X1))) ),
introduced(tautology,[equality,[$cnf( $equal(X0,join(meet(X0,X1),complement(join(complement(X0),X1)))) ),[1,0],$fot(meet(X1,X0))]]) ).
cnf(refute_0_45,plain,
( X0 != join(meet(X0,X1),complement(join(complement(X0),X1)))
| X0 = join(meet(X1,X0),complement(join(complement(X0),X1))) ),
inference(resolve,[$cnf( $equal(meet(X0,X1),meet(X1,X0)) )],[refute_0_43,refute_0_44]) ).
cnf(refute_0_46,plain,
X0 = join(meet(X1,X0),complement(join(complement(X0),X1))),
inference(resolve,[$cnf( $equal(X0,join(meet(X0,X1),complement(join(complement(X0),X1)))) )],[refute_0_31,refute_0_45]) ).
cnf(refute_0_47,plain,
X0 = join(meet(complement(X0),X0),complement(join(complement(X0),complement(X0)))),
inference(subst,[],[refute_0_46:[bind(X1,$fot(complement(X0)))]]) ).
cnf(refute_0_48,plain,
composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_49,plain,
composition(join(X_74,one),X_76) = join(composition(X_74,X_76),composition(one,X_76)),
inference(subst,[],[refute_0_48:[bind(X0,$fot(X_74)),bind(X1,$fot(one)),bind(X2,$fot(X_76))]]) ).
cnf(refute_0_50,plain,
converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(canonicalize,[],[normalize_0_11]) ).
cnf(refute_0_51,plain,
converse(composition(converse(X0),X_5)) = composition(converse(X_5),converse(converse(X0))),
inference(subst,[],[refute_0_50:[bind(X0,$fot(converse(X0))),bind(X1,$fot(X_5))]]) ).
cnf(refute_0_52,plain,
converse(converse(X0)) = X0,
inference(canonicalize,[],[normalize_0_13]) ).
cnf(refute_0_53,plain,
( converse(composition(converse(X0),X_5)) != composition(converse(X_5),converse(converse(X0)))
| converse(converse(X0)) != X0
| converse(composition(converse(X0),X_5)) = composition(converse(X_5),X0) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(X0),X_5)),composition(converse(X_5),converse(converse(X0)))) ),[1,1],$fot(X0)]]) ).
cnf(refute_0_54,plain,
( converse(composition(converse(X0),X_5)) != composition(converse(X_5),converse(converse(X0)))
| converse(composition(converse(X0),X_5)) = composition(converse(X_5),X0) ),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_0_52,refute_0_53]) ).
cnf(refute_0_55,plain,
converse(composition(converse(X0),X_5)) = composition(converse(X_5),X0),
inference(resolve,[$cnf( $equal(converse(composition(converse(X0),X_5)),composition(converse(X_5),converse(converse(X0)))) )],[refute_0_51,refute_0_54]) ).
cnf(refute_0_56,plain,
converse(composition(converse(X_6),one)) = composition(converse(one),X_6),
inference(subst,[],[refute_0_55:[bind(X0,$fot(X_6)),bind(X_5,$fot(one))]]) ).
cnf(refute_0_57,plain,
composition(X0,one) = X0,
inference(canonicalize,[],[normalize_0_15]) ).
cnf(refute_0_58,plain,
composition(converse(X_6),one) = converse(X_6),
inference(subst,[],[refute_0_57:[bind(X0,$fot(converse(X_6)))]]) ).
cnf(refute_0_59,plain,
( composition(converse(X_6),one) != converse(X_6)
| converse(composition(converse(X_6),one)) != composition(converse(one),X_6)
| converse(converse(X_6)) = composition(converse(one),X_6) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(X_6),one)),composition(converse(one),X_6)) ),[0,0],$fot(converse(X_6))]]) ).
cnf(refute_0_60,plain,
( converse(composition(converse(X_6),one)) != composition(converse(one),X_6)
| converse(converse(X_6)) = composition(converse(one),X_6) ),
inference(resolve,[$cnf( $equal(composition(converse(X_6),one),converse(X_6)) )],[refute_0_58,refute_0_59]) ).
cnf(refute_0_61,plain,
converse(converse(X_6)) = composition(converse(one),X_6),
inference(resolve,[$cnf( $equal(converse(composition(converse(X_6),one)),composition(converse(one),X_6)) )],[refute_0_56,refute_0_60]) ).
cnf(refute_0_62,plain,
converse(converse(X_6)) = X_6,
inference(subst,[],[refute_0_52:[bind(X0,$fot(X_6))]]) ).
cnf(refute_0_63,plain,
( converse(converse(X_6)) != X_6
| converse(converse(X_6)) != composition(converse(one),X_6)
| X_6 = composition(converse(one),X_6) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(X_6)),composition(converse(one),X_6)) ),[0],$fot(X_6)]]) ).
cnf(refute_0_64,plain,
( converse(converse(X_6)) != composition(converse(one),X_6)
| X_6 = composition(converse(one),X_6) ),
inference(resolve,[$cnf( $equal(converse(converse(X_6)),X_6) )],[refute_0_62,refute_0_63]) ).
cnf(refute_0_65,plain,
X_6 = composition(converse(one),X_6),
inference(resolve,[$cnf( $equal(converse(converse(X_6)),composition(converse(one),X_6)) )],[refute_0_61,refute_0_64]) ).
cnf(refute_0_66,plain,
composition(converse(one),one) = converse(one),
inference(subst,[],[refute_0_57:[bind(X0,$fot(converse(one)))]]) ).
cnf(refute_0_67,plain,
one = composition(converse(one),one),
inference(subst,[],[refute_0_65:[bind(X_6,$fot(one))]]) ).
cnf(refute_0_68,plain,
( one != composition(converse(one),one)
| composition(converse(one),one) = one ),
inference(subst,[],[refute_0_4:[bind(X,$fot(one)),bind(Y,$fot(composition(converse(one),one)))]]) ).
cnf(refute_0_69,plain,
composition(converse(one),one) = one,
inference(resolve,[$cnf( $equal(one,composition(converse(one),one)) )],[refute_0_67,refute_0_68]) ).
cnf(refute_0_70,plain,
( composition(converse(one),one) != converse(one)
| composition(converse(one),one) != one
| one = converse(one) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(one),one),converse(one)) ),[0],$fot(one)]]) ).
cnf(refute_0_71,plain,
( composition(converse(one),one) != converse(one)
| one = converse(one) ),
inference(resolve,[$cnf( $equal(composition(converse(one),one),one) )],[refute_0_69,refute_0_70]) ).
cnf(refute_0_72,plain,
one = converse(one),
inference(resolve,[$cnf( $equal(composition(converse(one),one),converse(one)) )],[refute_0_66,refute_0_71]) ).
cnf(refute_0_73,plain,
( one != converse(one)
| converse(one) = one ),
inference(subst,[],[refute_0_4:[bind(X,$fot(one)),bind(Y,$fot(converse(one)))]]) ).
cnf(refute_0_74,plain,
converse(one) = one,
inference(resolve,[$cnf( $equal(one,converse(one)) )],[refute_0_72,refute_0_73]) ).
cnf(refute_0_75,plain,
composition(converse(one),X_6) = composition(converse(one),X_6),
introduced(tautology,[refl,[$fot(composition(converse(one),X_6))]]) ).
cnf(refute_0_76,plain,
( composition(converse(one),X_6) != composition(converse(one),X_6)
| converse(one) != one
| composition(converse(one),X_6) = composition(one,X_6) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(one),X_6),composition(converse(one),X_6)) ),[1,0],$fot(one)]]) ).
cnf(refute_0_77,plain,
( converse(one) != one
| composition(converse(one),X_6) = composition(one,X_6) ),
inference(resolve,[$cnf( $equal(composition(converse(one),X_6),composition(converse(one),X_6)) )],[refute_0_75,refute_0_76]) ).
cnf(refute_0_78,plain,
composition(converse(one),X_6) = composition(one,X_6),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_74,refute_0_77]) ).
cnf(refute_0_79,plain,
( X_6 != composition(converse(one),X_6)
| composition(converse(one),X_6) != composition(one,X_6)
| X_6 = composition(one,X_6) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_6,composition(one,X_6)) ),[0],$fot(composition(converse(one),X_6))]]) ).
cnf(refute_0_80,plain,
( X_6 != composition(converse(one),X_6)
| X_6 = composition(one,X_6) ),
inference(resolve,[$cnf( $equal(composition(converse(one),X_6),composition(one,X_6)) )],[refute_0_78,refute_0_79]) ).
cnf(refute_0_81,plain,
X_6 = composition(one,X_6),
inference(resolve,[$cnf( $equal(X_6,composition(converse(one),X_6)) )],[refute_0_65,refute_0_80]) ).
cnf(refute_0_82,plain,
X_76 = composition(one,X_76),
inference(subst,[],[refute_0_81:[bind(X_6,$fot(X_76))]]) ).
cnf(refute_0_83,plain,
( X_76 != composition(one,X_76)
| composition(one,X_76) = X_76 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(X_76)),bind(Y,$fot(composition(one,X_76)))]]) ).
cnf(refute_0_84,plain,
composition(one,X_76) = X_76,
inference(resolve,[$cnf( $equal(X_76,composition(one,X_76)) )],[refute_0_82,refute_0_83]) ).
cnf(refute_0_85,plain,
( composition(join(X_74,one),X_76) != join(composition(X_74,X_76),composition(one,X_76))
| composition(one,X_76) != X_76
| composition(join(X_74,one),X_76) = join(composition(X_74,X_76),X_76) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X_74,one),X_76),join(composition(X_74,X_76),composition(one,X_76))) ),[1,1],$fot(X_76)]]) ).
cnf(refute_0_86,plain,
( composition(join(X_74,one),X_76) != join(composition(X_74,X_76),composition(one,X_76))
| composition(join(X_74,one),X_76) = join(composition(X_74,X_76),X_76) ),
inference(resolve,[$cnf( $equal(composition(one,X_76),X_76) )],[refute_0_84,refute_0_85]) ).
cnf(refute_0_87,plain,
composition(join(X_74,one),X_76) = join(composition(X_74,X_76),X_76),
inference(resolve,[$cnf( $equal(composition(join(X_74,one),X_76),join(composition(X_74,X_76),composition(one,X_76))) )],[refute_0_49,refute_0_86]) ).
cnf(refute_0_88,plain,
join(composition(X_74,X_76),X_76) = join(X_76,composition(X_74,X_76)),
inference(subst,[],[refute_0_6:[bind(X0,$fot(X_76)),bind(X1,$fot(composition(X_74,X_76)))]]) ).
cnf(refute_0_89,plain,
( composition(join(X_74,one),X_76) != join(composition(X_74,X_76),X_76)
| join(composition(X_74,X_76),X_76) != join(X_76,composition(X_74,X_76))
| composition(join(X_74,one),X_76) = join(X_76,composition(X_74,X_76)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(X_74,one),X_76),join(X_76,composition(X_74,X_76))) ),[0],$fot(join(composition(X_74,X_76),X_76))]]) ).
cnf(refute_0_90,plain,
( composition(join(X_74,one),X_76) != join(composition(X_74,X_76),X_76)
| composition(join(X_74,one),X_76) = join(X_76,composition(X_74,X_76)) ),
inference(resolve,[$cnf( $equal(join(composition(X_74,X_76),X_76),join(X_76,composition(X_74,X_76))) )],[refute_0_88,refute_0_89]) ).
cnf(refute_0_91,plain,
composition(join(X_74,one),X_76) = join(X_76,composition(X_74,X_76)),
inference(resolve,[$cnf( $equal(composition(join(X_74,one),X_76),join(composition(X_74,X_76),X_76)) )],[refute_0_87,refute_0_90]) ).
cnf(refute_0_92,plain,
composition(join(one,one),X_78) = join(X_78,composition(one,X_78)),
inference(subst,[],[refute_0_91:[bind(X_74,$fot(one)),bind(X_76,$fot(X_78))]]) ).
cnf(refute_0_93,plain,
X_78 = composition(one,X_78),
inference(subst,[],[refute_0_81:[bind(X_6,$fot(X_78))]]) ).
cnf(refute_0_94,plain,
( X_78 != composition(one,X_78)
| composition(one,X_78) = X_78 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(X_78)),bind(Y,$fot(composition(one,X_78)))]]) ).
cnf(refute_0_95,plain,
composition(one,X_78) = X_78,
inference(resolve,[$cnf( $equal(X_78,composition(one,X_78)) )],[refute_0_93,refute_0_94]) ).
cnf(refute_0_96,plain,
( composition(join(one,one),X_78) != join(X_78,composition(one,X_78))
| composition(one,X_78) != X_78
| composition(join(one,one),X_78) = join(X_78,X_78) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,one),X_78),join(X_78,composition(one,X_78))) ),[1,1],$fot(X_78)]]) ).
cnf(refute_0_97,plain,
( composition(join(one,one),X_78) != join(X_78,composition(one,X_78))
| composition(join(one,one),X_78) = join(X_78,X_78) ),
inference(resolve,[$cnf( $equal(composition(one,X_78),X_78) )],[refute_0_95,refute_0_96]) ).
cnf(refute_0_98,plain,
composition(join(one,one),X_78) = join(X_78,X_78),
inference(resolve,[$cnf( $equal(composition(join(one,one),X_78),join(X_78,composition(one,X_78))) )],[refute_0_92,refute_0_97]) ).
cnf(refute_0_99,plain,
composition(join(one,one),complement(X0)) = join(complement(X0),complement(X0)),
inference(subst,[],[refute_0_98:[bind(X_78,$fot(complement(X0)))]]) ).
cnf(refute_0_100,plain,
( composition(join(one,one),complement(X0)) != join(complement(X0),complement(X0))
| join(complement(X0),complement(X0)) = composition(join(one,one),complement(X0)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(composition(join(one,one),complement(X0)))),bind(Y,$fot(join(complement(X0),complement(X0))))]]) ).
cnf(refute_0_101,plain,
join(complement(X0),complement(X0)) = composition(join(one,one),complement(X0)),
inference(resolve,[$cnf( $equal(composition(join(one,one),complement(X0)),join(complement(X0),complement(X0))) )],[refute_0_99,refute_0_100]) ).
cnf(refute_0_102,plain,
( X0 != join(meet(complement(X0),X0),complement(join(complement(X0),complement(X0))))
| join(complement(X0),complement(X0)) != composition(join(one,one),complement(X0))
| X0 = join(meet(complement(X0),X0),complement(composition(join(one,one),complement(X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(X0,join(meet(complement(X0),X0),complement(join(complement(X0),complement(X0))))) ),[1,1,0],$fot(composition(join(one,one),complement(X0)))]]) ).
cnf(refute_0_103,plain,
( X0 != join(meet(complement(X0),X0),complement(join(complement(X0),complement(X0))))
| X0 = join(meet(complement(X0),X0),complement(composition(join(one,one),complement(X0)))) ),
inference(resolve,[$cnf( $equal(join(complement(X0),complement(X0)),composition(join(one,one),complement(X0))) )],[refute_0_101,refute_0_102]) ).
cnf(refute_0_104,plain,
X0 = join(meet(complement(X0),X0),complement(composition(join(one,one),complement(X0)))),
inference(resolve,[$cnf( $equal(X0,join(meet(complement(X0),X0),complement(join(complement(X0),complement(X0))))) )],[refute_0_47,refute_0_103]) ).
cnf(refute_0_105,plain,
X0 = join(meet(X0,meet(top,meet(X0,complement(complement(X0))))),complement(join(complement(X0),meet(top,meet(X0,complement(complement(X0))))))),
inference(subst,[],[refute_0_31:[bind(X1,$fot(meet(top,meet(X0,complement(complement(X0))))))]]) ).
cnf(refute_0_106,plain,
top = join(meet(top,meet(X_17,complement(complement(X_17)))),complement(join(complement(top),meet(X_17,complement(complement(X_17)))))),
inference(subst,[],[refute_0_31:[bind(X0,$fot(top)),bind(X1,$fot(meet(X_17,complement(complement(X_17)))))]]) ).
cnf(refute_0_107,plain,
X_14 = join(meet(X_14,complement(complement(X_14))),complement(join(complement(X_14),complement(complement(X_14))))),
inference(subst,[],[refute_0_31:[bind(X0,$fot(X_14)),bind(X1,$fot(complement(complement(X_14))))]]) ).
cnf(refute_0_108,plain,
top = join(X0,complement(X0)),
inference(canonicalize,[],[normalize_0_17]) ).
cnf(refute_0_109,plain,
top = join(complement(X_14),complement(complement(X_14))),
inference(subst,[],[refute_0_108:[bind(X0,$fot(complement(X_14)))]]) ).
cnf(refute_0_110,plain,
( top != join(complement(X_14),complement(complement(X_14)))
| join(complement(X_14),complement(complement(X_14))) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(complement(X_14),complement(complement(X_14)))))]]) ).
cnf(refute_0_111,plain,
join(complement(X_14),complement(complement(X_14))) = top,
inference(resolve,[$cnf( $equal(top,join(complement(X_14),complement(complement(X_14)))) )],[refute_0_109,refute_0_110]) ).
cnf(refute_0_112,plain,
( X_14 != join(meet(X_14,complement(complement(X_14))),complement(join(complement(X_14),complement(complement(X_14)))))
| join(complement(X_14),complement(complement(X_14))) != top
| X_14 = join(meet(X_14,complement(complement(X_14))),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(X_14,join(meet(X_14,complement(complement(X_14))),complement(join(complement(X_14),complement(complement(X_14)))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_0_113,plain,
( X_14 != join(meet(X_14,complement(complement(X_14))),complement(join(complement(X_14),complement(complement(X_14)))))
| X_14 = join(meet(X_14,complement(complement(X_14))),complement(top)) ),
inference(resolve,[$cnf( $equal(join(complement(X_14),complement(complement(X_14))),top) )],[refute_0_111,refute_0_112]) ).
cnf(refute_0_114,plain,
X_14 = join(meet(X_14,complement(complement(X_14))),complement(top)),
inference(resolve,[$cnf( $equal(X_14,join(meet(X_14,complement(complement(X_14))),complement(join(complement(X_14),complement(complement(X_14)))))) )],[refute_0_107,refute_0_113]) ).
cnf(refute_0_115,plain,
join(meet(X_14,complement(complement(X_14))),complement(top)) = join(complement(top),meet(X_14,complement(complement(X_14)))),
inference(subst,[],[refute_0_6:[bind(X0,$fot(complement(top))),bind(X1,$fot(meet(X_14,complement(complement(X_14)))))]]) ).
cnf(refute_0_116,plain,
( X_14 != join(meet(X_14,complement(complement(X_14))),complement(top))
| join(meet(X_14,complement(complement(X_14))),complement(top)) != join(complement(top),meet(X_14,complement(complement(X_14))))
| X_14 = join(complement(top),meet(X_14,complement(complement(X_14)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_14,join(complement(top),meet(X_14,complement(complement(X_14))))) ),[0],$fot(join(meet(X_14,complement(complement(X_14))),complement(top)))]]) ).
cnf(refute_0_117,plain,
( X_14 != join(meet(X_14,complement(complement(X_14))),complement(top))
| X_14 = join(complement(top),meet(X_14,complement(complement(X_14)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_14,complement(complement(X_14))),complement(top)),join(complement(top),meet(X_14,complement(complement(X_14))))) )],[refute_0_115,refute_0_116]) ).
cnf(refute_0_118,plain,
X_14 = join(complement(top),meet(X_14,complement(complement(X_14)))),
inference(resolve,[$cnf( $equal(X_14,join(meet(X_14,complement(complement(X_14))),complement(top))) )],[refute_0_114,refute_0_117]) ).
cnf(refute_0_119,plain,
X_17 = join(complement(top),meet(X_17,complement(complement(X_17)))),
inference(subst,[],[refute_0_118:[bind(X_14,$fot(X_17))]]) ).
cnf(refute_0_120,plain,
( X_17 != join(complement(top),meet(X_17,complement(complement(X_17))))
| join(complement(top),meet(X_17,complement(complement(X_17)))) = X_17 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(X_17)),bind(Y,$fot(join(complement(top),meet(X_17,complement(complement(X_17))))))]]) ).
cnf(refute_0_121,plain,
join(complement(top),meet(X_17,complement(complement(X_17)))) = X_17,
inference(resolve,[$cnf( $equal(X_17,join(complement(top),meet(X_17,complement(complement(X_17))))) )],[refute_0_119,refute_0_120]) ).
cnf(refute_0_122,plain,
( join(complement(top),meet(X_17,complement(complement(X_17)))) != X_17
| top != join(meet(top,meet(X_17,complement(complement(X_17)))),complement(join(complement(top),meet(X_17,complement(complement(X_17))))))
| top = join(meet(top,meet(X_17,complement(complement(X_17)))),complement(X_17)) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(meet(top,meet(X_17,complement(complement(X_17)))),complement(join(complement(top),meet(X_17,complement(complement(X_17))))))) ),[1,1,0],$fot(X_17)]]) ).
cnf(refute_0_123,plain,
( top != join(meet(top,meet(X_17,complement(complement(X_17)))),complement(join(complement(top),meet(X_17,complement(complement(X_17))))))
| top = join(meet(top,meet(X_17,complement(complement(X_17)))),complement(X_17)) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_17,complement(complement(X_17)))),X_17) )],[refute_0_121,refute_0_122]) ).
cnf(refute_0_124,plain,
top = join(meet(top,meet(X_17,complement(complement(X_17)))),complement(X_17)),
inference(resolve,[$cnf( $equal(top,join(meet(top,meet(X_17,complement(complement(X_17)))),complement(join(complement(top),meet(X_17,complement(complement(X_17))))))) )],[refute_0_106,refute_0_123]) ).
cnf(refute_0_125,plain,
join(meet(top,meet(X_17,complement(complement(X_17)))),complement(X_17)) = join(complement(X_17),meet(top,meet(X_17,complement(complement(X_17))))),
inference(subst,[],[refute_0_6:[bind(X0,$fot(complement(X_17))),bind(X1,$fot(meet(top,meet(X_17,complement(complement(X_17))))))]]) ).
cnf(refute_0_126,plain,
( join(meet(top,meet(X_17,complement(complement(X_17)))),complement(X_17)) != join(complement(X_17),meet(top,meet(X_17,complement(complement(X_17)))))
| top != join(meet(top,meet(X_17,complement(complement(X_17)))),complement(X_17))
| top = join(complement(X_17),meet(top,meet(X_17,complement(complement(X_17))))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(meet(top,meet(X_17,complement(complement(X_17)))),complement(X_17))) ),[1],$fot(join(complement(X_17),meet(top,meet(X_17,complement(complement(X_17))))))]]) ).
cnf(refute_0_127,plain,
( top != join(meet(top,meet(X_17,complement(complement(X_17)))),complement(X_17))
| top = join(complement(X_17),meet(top,meet(X_17,complement(complement(X_17))))) ),
inference(resolve,[$cnf( $equal(join(meet(top,meet(X_17,complement(complement(X_17)))),complement(X_17)),join(complement(X_17),meet(top,meet(X_17,complement(complement(X_17)))))) )],[refute_0_125,refute_0_126]) ).
cnf(refute_0_128,plain,
top = join(complement(X_17),meet(top,meet(X_17,complement(complement(X_17))))),
inference(resolve,[$cnf( $equal(top,join(meet(top,meet(X_17,complement(complement(X_17)))),complement(X_17))) )],[refute_0_124,refute_0_127]) ).
cnf(refute_0_129,plain,
top = join(complement(X0),meet(top,meet(X0,complement(complement(X0))))),
inference(subst,[],[refute_0_128:[bind(X_17,$fot(X0))]]) ).
cnf(refute_0_130,plain,
( top != join(complement(X0),meet(top,meet(X0,complement(complement(X0)))))
| join(complement(X0),meet(top,meet(X0,complement(complement(X0))))) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(complement(X0),meet(top,meet(X0,complement(complement(X0)))))))]]) ).
cnf(refute_0_131,plain,
join(complement(X0),meet(top,meet(X0,complement(complement(X0))))) = top,
inference(resolve,[$cnf( $equal(top,join(complement(X0),meet(top,meet(X0,complement(complement(X0)))))) )],[refute_0_129,refute_0_130]) ).
cnf(refute_0_132,plain,
( X0 != join(meet(X0,meet(top,meet(X0,complement(complement(X0))))),complement(join(complement(X0),meet(top,meet(X0,complement(complement(X0)))))))
| join(complement(X0),meet(top,meet(X0,complement(complement(X0))))) != top
| X0 = join(meet(X0,meet(top,meet(X0,complement(complement(X0))))),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(X0,join(meet(X0,meet(top,meet(X0,complement(complement(X0))))),complement(join(complement(X0),meet(top,meet(X0,complement(complement(X0)))))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_0_133,plain,
( X0 != join(meet(X0,meet(top,meet(X0,complement(complement(X0))))),complement(join(complement(X0),meet(top,meet(X0,complement(complement(X0)))))))
| X0 = join(meet(X0,meet(top,meet(X0,complement(complement(X0))))),complement(top)) ),
inference(resolve,[$cnf( $equal(join(complement(X0),meet(top,meet(X0,complement(complement(X0))))),top) )],[refute_0_131,refute_0_132]) ).
cnf(refute_0_134,plain,
X0 = join(meet(X0,meet(top,meet(X0,complement(complement(X0))))),complement(top)),
inference(resolve,[$cnf( $equal(X0,join(meet(X0,meet(top,meet(X0,complement(complement(X0))))),complement(join(complement(X0),meet(top,meet(X0,complement(complement(X0)))))))) )],[refute_0_105,refute_0_133]) ).
cnf(refute_0_135,plain,
join(meet(X0,meet(top,meet(X0,complement(complement(X0))))),complement(top)) = join(complement(top),meet(X0,meet(top,meet(X0,complement(complement(X0)))))),
inference(subst,[],[refute_0_6:[bind(X0,$fot(complement(top))),bind(X1,$fot(meet(X0,meet(top,meet(X0,complement(complement(X0)))))))]]) ).
cnf(refute_0_136,plain,
( X0 != join(meet(X0,meet(top,meet(X0,complement(complement(X0))))),complement(top))
| join(meet(X0,meet(top,meet(X0,complement(complement(X0))))),complement(top)) != join(complement(top),meet(X0,meet(top,meet(X0,complement(complement(X0))))))
| X0 = join(complement(top),meet(X0,meet(top,meet(X0,complement(complement(X0)))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X0,join(complement(top),meet(X0,meet(top,meet(X0,complement(complement(X0))))))) ),[0],$fot(join(meet(X0,meet(top,meet(X0,complement(complement(X0))))),complement(top)))]]) ).
cnf(refute_0_137,plain,
( X0 != join(meet(X0,meet(top,meet(X0,complement(complement(X0))))),complement(top))
| X0 = join(complement(top),meet(X0,meet(top,meet(X0,complement(complement(X0)))))) ),
inference(resolve,[$cnf( $equal(join(meet(X0,meet(top,meet(X0,complement(complement(X0))))),complement(top)),join(complement(top),meet(X0,meet(top,meet(X0,complement(complement(X0))))))) )],[refute_0_135,refute_0_136]) ).
cnf(refute_0_138,plain,
X0 = join(complement(top),meet(X0,meet(top,meet(X0,complement(complement(X0)))))),
inference(resolve,[$cnf( $equal(X0,join(meet(X0,meet(top,meet(X0,complement(complement(X0))))),complement(top))) )],[refute_0_134,refute_0_137]) ).
cnf(refute_0_139,plain,
zero = meet(X0,complement(X0)),
inference(canonicalize,[],[normalize_0_19]) ).
cnf(refute_0_140,plain,
zero = meet(join(complement(X_39),complement(X_40)),complement(join(complement(X_39),complement(X_40)))),
inference(subst,[],[refute_0_139:[bind(X0,$fot(join(complement(X_39),complement(X_40))))]]) ).
cnf(refute_0_141,plain,
( meet(X_39,X_40) != complement(join(complement(X_39),complement(X_40)))
| complement(join(complement(X_39),complement(X_40))) = meet(X_39,X_40) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(meet(X_39,X_40))),bind(Y,$fot(complement(join(complement(X_39),complement(X_40)))))]]) ).
cnf(refute_0_142,plain,
complement(join(complement(X_39),complement(X_40))) = meet(X_39,X_40),
inference(resolve,[$cnf( $equal(meet(X_39,X_40),complement(join(complement(X_39),complement(X_40)))) )],[refute_0_32,refute_0_141]) ).
cnf(refute_0_143,plain,
( complement(join(complement(X_39),complement(X_40))) != meet(X_39,X_40)
| zero != meet(join(complement(X_39),complement(X_40)),complement(join(complement(X_39),complement(X_40))))
| zero = meet(join(complement(X_39),complement(X_40)),meet(X_39,X_40)) ),
introduced(tautology,[equality,[$cnf( $equal(zero,meet(join(complement(X_39),complement(X_40)),complement(join(complement(X_39),complement(X_40))))) ),[1,1],$fot(meet(X_39,X_40))]]) ).
cnf(refute_0_144,plain,
( zero != meet(join(complement(X_39),complement(X_40)),complement(join(complement(X_39),complement(X_40))))
| zero = meet(join(complement(X_39),complement(X_40)),meet(X_39,X_40)) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_39),complement(X_40))),meet(X_39,X_40)) )],[refute_0_142,refute_0_143]) ).
cnf(refute_0_145,plain,
zero = meet(join(complement(X_39),complement(X_40)),meet(X_39,X_40)),
inference(resolve,[$cnf( $equal(zero,meet(join(complement(X_39),complement(X_40)),complement(join(complement(X_39),complement(X_40))))) )],[refute_0_140,refute_0_144]) ).
cnf(refute_0_146,plain,
( top != join(X0,complement(X0))
| join(X0,complement(X0)) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(X0,complement(X0))))]]) ).
cnf(refute_0_147,plain,
join(X0,complement(X0)) = top,
inference(resolve,[$cnf( $equal(top,join(X0,complement(X0))) )],[refute_0_108,refute_0_146]) ).
cnf(refute_0_148,plain,
join(meet(X_39,X_40),complement(meet(X_39,X_40))) = top,
inference(subst,[],[refute_0_147:[bind(X0,$fot(meet(X_39,X_40)))]]) ).
cnf(refute_0_149,plain,
complement(join(meet(X_39,X_40),complement(meet(X_39,X_40)))) = complement(join(meet(X_39,X_40),complement(meet(X_39,X_40)))),
introduced(tautology,[refl,[$fot(complement(join(meet(X_39,X_40),complement(meet(X_39,X_40)))))]]) ).
cnf(refute_0_150,plain,
( complement(join(meet(X_39,X_40),complement(meet(X_39,X_40)))) != complement(join(meet(X_39,X_40),complement(meet(X_39,X_40))))
| join(meet(X_39,X_40),complement(meet(X_39,X_40))) != top
| complement(join(meet(X_39,X_40),complement(meet(X_39,X_40)))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(meet(X_39,X_40),complement(meet(X_39,X_40)))),complement(join(meet(X_39,X_40),complement(meet(X_39,X_40))))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_151,plain,
( join(meet(X_39,X_40),complement(meet(X_39,X_40))) != top
| complement(join(meet(X_39,X_40),complement(meet(X_39,X_40)))) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(join(meet(X_39,X_40),complement(meet(X_39,X_40)))),complement(join(meet(X_39,X_40),complement(meet(X_39,X_40))))) )],[refute_0_149,refute_0_150]) ).
cnf(refute_0_152,plain,
complement(join(meet(X_39,X_40),complement(meet(X_39,X_40)))) = complement(top),
inference(resolve,[$cnf( $equal(join(meet(X_39,X_40),complement(meet(X_39,X_40))),top) )],[refute_0_148,refute_0_151]) ).
cnf(refute_0_153,plain,
meet(join(complement(X_39),complement(X_40)),X1) = complement(join(complement(join(complement(X_39),complement(X_40))),complement(X1))),
inference(subst,[],[refute_0_17:[bind(X0,$fot(join(complement(X_39),complement(X_40))))]]) ).
cnf(refute_0_154,plain,
( complement(join(complement(X_39),complement(X_40))) != meet(X_39,X_40)
| meet(join(complement(X_39),complement(X_40)),X1) != complement(join(complement(join(complement(X_39),complement(X_40))),complement(X1)))
| meet(join(complement(X_39),complement(X_40)),X1) = complement(join(meet(X_39,X_40),complement(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(complement(X_39),complement(X_40)),X1),complement(join(complement(join(complement(X_39),complement(X_40))),complement(X1)))) ),[1,0,0],$fot(meet(X_39,X_40))]]) ).
cnf(refute_0_155,plain,
( meet(join(complement(X_39),complement(X_40)),X1) != complement(join(complement(join(complement(X_39),complement(X_40))),complement(X1)))
| meet(join(complement(X_39),complement(X_40)),X1) = complement(join(meet(X_39,X_40),complement(X1))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_39),complement(X_40))),meet(X_39,X_40)) )],[refute_0_142,refute_0_154]) ).
cnf(refute_0_156,plain,
meet(join(complement(X_39),complement(X_40)),X1) = complement(join(meet(X_39,X_40),complement(X1))),
inference(resolve,[$cnf( $equal(meet(join(complement(X_39),complement(X_40)),X1),complement(join(complement(join(complement(X_39),complement(X_40))),complement(X1)))) )],[refute_0_153,refute_0_155]) ).
cnf(refute_0_157,plain,
meet(join(complement(X_39),complement(X_40)),meet(X_39,X_40)) = complement(join(meet(X_39,X_40),complement(meet(X_39,X_40)))),
inference(subst,[],[refute_0_156:[bind(X1,$fot(meet(X_39,X_40)))]]) ).
cnf(refute_0_158,plain,
( complement(join(meet(X_39,X_40),complement(meet(X_39,X_40)))) != complement(top)
| meet(join(complement(X_39),complement(X_40)),meet(X_39,X_40)) != complement(join(meet(X_39,X_40),complement(meet(X_39,X_40))))
| meet(join(complement(X_39),complement(X_40)),meet(X_39,X_40)) = complement(top) ),
inference(subst,[],[refute_0_25:[bind(X,$fot(meet(join(complement(X_39),complement(X_40)),meet(X_39,X_40)))),bind(Y,$fot(complement(join(meet(X_39,X_40),complement(meet(X_39,X_40)))))),bind(Z,$fot(complement(top)))]]) ).
cnf(refute_0_159,plain,
( complement(join(meet(X_39,X_40),complement(meet(X_39,X_40)))) != complement(top)
| meet(join(complement(X_39),complement(X_40)),meet(X_39,X_40)) = complement(top) ),
inference(resolve,[$cnf( $equal(meet(join(complement(X_39),complement(X_40)),meet(X_39,X_40)),complement(join(meet(X_39,X_40),complement(meet(X_39,X_40))))) )],[refute_0_157,refute_0_158]) ).
cnf(refute_0_160,plain,
meet(join(complement(X_39),complement(X_40)),meet(X_39,X_40)) = complement(top),
inference(resolve,[$cnf( $equal(complement(join(meet(X_39,X_40),complement(meet(X_39,X_40)))),complement(top)) )],[refute_0_152,refute_0_159]) ).
cnf(refute_0_161,plain,
( meet(join(complement(X_39),complement(X_40)),meet(X_39,X_40)) != complement(top)
| zero != meet(join(complement(X_39),complement(X_40)),meet(X_39,X_40))
| zero = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(zero,meet(join(complement(X_39),complement(X_40)),meet(X_39,X_40))) ),[1],$fot(complement(top))]]) ).
cnf(refute_0_162,plain,
( zero != meet(join(complement(X_39),complement(X_40)),meet(X_39,X_40))
| zero = complement(top) ),
inference(resolve,[$cnf( $equal(meet(join(complement(X_39),complement(X_40)),meet(X_39,X_40)),complement(top)) )],[refute_0_160,refute_0_161]) ).
cnf(refute_0_163,plain,
zero = complement(top),
inference(resolve,[$cnf( $equal(zero,meet(join(complement(X_39),complement(X_40)),meet(X_39,X_40))) )],[refute_0_145,refute_0_162]) ).
cnf(refute_0_164,plain,
( zero != complement(top)
| complement(top) = zero ),
inference(subst,[],[refute_0_4:[bind(X,$fot(zero)),bind(Y,$fot(complement(top)))]]) ).
cnf(refute_0_165,plain,
complement(top) = zero,
inference(resolve,[$cnf( $equal(zero,complement(top)) )],[refute_0_163,refute_0_164]) ).
cnf(refute_0_166,plain,
join(complement(top),meet(X0,meet(top,meet(X0,complement(complement(X0)))))) = join(complement(top),meet(X0,meet(top,meet(X0,complement(complement(X0)))))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(X0,meet(top,meet(X0,complement(complement(X0)))))))]]) ).
cnf(refute_0_167,plain,
( complement(top) != zero
| join(complement(top),meet(X0,meet(top,meet(X0,complement(complement(X0)))))) != join(complement(top),meet(X0,meet(top,meet(X0,complement(complement(X0))))))
| join(complement(top),meet(X0,meet(top,meet(X0,complement(complement(X0)))))) = join(zero,meet(X0,meet(top,meet(X0,complement(complement(X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(X0,meet(top,meet(X0,complement(complement(X0)))))),join(complement(top),meet(X0,meet(top,meet(X0,complement(complement(X0))))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_168,plain,
( complement(top) != zero
| join(complement(top),meet(X0,meet(top,meet(X0,complement(complement(X0)))))) = join(zero,meet(X0,meet(top,meet(X0,complement(complement(X0)))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X0,meet(top,meet(X0,complement(complement(X0)))))),join(complement(top),meet(X0,meet(top,meet(X0,complement(complement(X0))))))) )],[refute_0_166,refute_0_167]) ).
cnf(refute_0_169,plain,
join(complement(top),meet(X0,meet(top,meet(X0,complement(complement(X0)))))) = join(zero,meet(X0,meet(top,meet(X0,complement(complement(X0)))))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_165,refute_0_168]) ).
cnf(refute_0_170,plain,
( X0 != join(complement(top),meet(X0,meet(top,meet(X0,complement(complement(X0))))))
| join(complement(top),meet(X0,meet(top,meet(X0,complement(complement(X0)))))) != join(zero,meet(X0,meet(top,meet(X0,complement(complement(X0))))))
| X0 = join(zero,meet(X0,meet(top,meet(X0,complement(complement(X0)))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X0,join(zero,meet(X0,meet(top,meet(X0,complement(complement(X0))))))) ),[0],$fot(join(complement(top),meet(X0,meet(top,meet(X0,complement(complement(X0)))))))]]) ).
cnf(refute_0_171,plain,
( X0 != join(complement(top),meet(X0,meet(top,meet(X0,complement(complement(X0))))))
| X0 = join(zero,meet(X0,meet(top,meet(X0,complement(complement(X0)))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X0,meet(top,meet(X0,complement(complement(X0)))))),join(zero,meet(X0,meet(top,meet(X0,complement(complement(X0))))))) )],[refute_0_169,refute_0_170]) ).
cnf(refute_0_172,plain,
X0 = join(zero,meet(X0,meet(top,meet(X0,complement(complement(X0)))))),
inference(resolve,[$cnf( $equal(X0,join(complement(top),meet(X0,meet(top,meet(X0,complement(complement(X0))))))) )],[refute_0_138,refute_0_171]) ).
cnf(refute_0_173,plain,
join(zero,complement(X_52)) = join(zero,meet(join(zero,complement(X_52)),meet(top,meet(join(zero,complement(X_52)),complement(complement(join(zero,complement(X_52)))))))),
inference(subst,[],[refute_0_172:[bind(X0,$fot(join(zero,complement(X_52))))]]) ).
cnf(refute_0_174,plain,
meet(top,X1) = complement(join(complement(top),complement(X1))),
inference(subst,[],[refute_0_17:[bind(X0,$fot(top))]]) ).
cnf(refute_0_175,plain,
( complement(top) != zero
| meet(top,X1) != complement(join(complement(top),complement(X1)))
| meet(top,X1) = complement(join(zero,complement(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,X1),complement(join(complement(top),complement(X1)))) ),[1,0,0],$fot(zero)]]) ).
cnf(refute_0_176,plain,
( meet(top,X1) != complement(join(complement(top),complement(X1)))
| meet(top,X1) = complement(join(zero,complement(X1))) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_165,refute_0_175]) ).
cnf(refute_0_177,plain,
meet(top,X1) = complement(join(zero,complement(X1))),
inference(resolve,[$cnf( $equal(meet(top,X1),complement(join(complement(top),complement(X1)))) )],[refute_0_174,refute_0_176]) ).
cnf(refute_0_178,plain,
meet(top,X_52) = complement(join(zero,complement(X_52))),
inference(subst,[],[refute_0_177:[bind(X1,$fot(X_52))]]) ).
cnf(refute_0_179,plain,
( meet(top,X_52) != complement(join(zero,complement(X_52)))
| complement(join(zero,complement(X_52))) = meet(top,X_52) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(meet(top,X_52))),bind(Y,$fot(complement(join(zero,complement(X_52)))))]]) ).
cnf(refute_0_180,plain,
complement(join(zero,complement(X_52))) = meet(top,X_52),
inference(resolve,[$cnf( $equal(meet(top,X_52),complement(join(zero,complement(X_52)))) )],[refute_0_178,refute_0_179]) ).
cnf(refute_0_181,plain,
( complement(join(zero,complement(X_52))) != meet(top,X_52)
| join(zero,complement(X_52)) != join(zero,meet(join(zero,complement(X_52)),meet(top,meet(join(zero,complement(X_52)),complement(complement(join(zero,complement(X_52))))))))
| join(zero,complement(X_52)) = join(zero,meet(join(zero,complement(X_52)),meet(top,meet(join(zero,complement(X_52)),complement(meet(top,X_52)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,complement(X_52)),join(zero,meet(join(zero,complement(X_52)),meet(top,meet(join(zero,complement(X_52)),complement(complement(join(zero,complement(X_52))))))))) ),[1,1,1,1,1,0],$fot(meet(top,X_52))]]) ).
cnf(refute_0_182,plain,
( join(zero,complement(X_52)) != join(zero,meet(join(zero,complement(X_52)),meet(top,meet(join(zero,complement(X_52)),complement(complement(join(zero,complement(X_52))))))))
| join(zero,complement(X_52)) = join(zero,meet(join(zero,complement(X_52)),meet(top,meet(join(zero,complement(X_52)),complement(meet(top,X_52)))))) ),
inference(resolve,[$cnf( $equal(complement(join(zero,complement(X_52))),meet(top,X_52)) )],[refute_0_180,refute_0_181]) ).
cnf(refute_0_183,plain,
join(zero,complement(X_52)) = join(zero,meet(join(zero,complement(X_52)),meet(top,meet(join(zero,complement(X_52)),complement(meet(top,X_52)))))),
inference(resolve,[$cnf( $equal(join(zero,complement(X_52)),join(zero,meet(join(zero,complement(X_52)),meet(top,meet(join(zero,complement(X_52)),complement(complement(join(zero,complement(X_52))))))))) )],[refute_0_173,refute_0_182]) ).
cnf(refute_0_184,plain,
( meet(X_39,X_40) != meet(X_40,X_39)
| meet(X_40,X_39) = meet(X_39,X_40) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(meet(X_39,X_40))),bind(Y,$fot(meet(X_40,X_39)))]]) ).
cnf(refute_0_185,plain,
meet(X_40,X_39) = meet(X_39,X_40),
inference(resolve,[$cnf( $equal(meet(X_39,X_40),meet(X_40,X_39)) )],[refute_0_42,refute_0_184]) ).
cnf(refute_0_186,plain,
meet(join(zero,complement(X_52)),complement(meet(top,X_52))) = meet(complement(meet(top,X_52)),join(zero,complement(X_52))),
inference(subst,[],[refute_0_185:[bind(X_39,$fot(complement(meet(top,X_52)))),bind(X_40,$fot(join(zero,complement(X_52))))]]) ).
cnf(refute_0_187,plain,
meet(top,meet(join(zero,complement(X_52)),complement(meet(top,X_52)))) = meet(top,meet(join(zero,complement(X_52)),complement(meet(top,X_52)))),
introduced(tautology,[refl,[$fot(meet(top,meet(join(zero,complement(X_52)),complement(meet(top,X_52)))))]]) ).
cnf(refute_0_188,plain,
( meet(join(zero,complement(X_52)),complement(meet(top,X_52))) != meet(complement(meet(top,X_52)),join(zero,complement(X_52)))
| meet(top,meet(join(zero,complement(X_52)),complement(meet(top,X_52)))) != meet(top,meet(join(zero,complement(X_52)),complement(meet(top,X_52))))
| meet(top,meet(join(zero,complement(X_52)),complement(meet(top,X_52)))) = meet(top,meet(complement(meet(top,X_52)),join(zero,complement(X_52)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,meet(join(zero,complement(X_52)),complement(meet(top,X_52)))),meet(top,meet(join(zero,complement(X_52)),complement(meet(top,X_52))))) ),[1,1],$fot(meet(complement(meet(top,X_52)),join(zero,complement(X_52))))]]) ).
cnf(refute_0_189,plain,
( meet(join(zero,complement(X_52)),complement(meet(top,X_52))) != meet(complement(meet(top,X_52)),join(zero,complement(X_52)))
| meet(top,meet(join(zero,complement(X_52)),complement(meet(top,X_52)))) = meet(top,meet(complement(meet(top,X_52)),join(zero,complement(X_52)))) ),
inference(resolve,[$cnf( $equal(meet(top,meet(join(zero,complement(X_52)),complement(meet(top,X_52)))),meet(top,meet(join(zero,complement(X_52)),complement(meet(top,X_52))))) )],[refute_0_187,refute_0_188]) ).
cnf(refute_0_190,plain,
meet(top,meet(join(zero,complement(X_52)),complement(meet(top,X_52)))) = meet(top,meet(complement(meet(top,X_52)),join(zero,complement(X_52)))),
inference(resolve,[$cnf( $equal(meet(join(zero,complement(X_52)),complement(meet(top,X_52))),meet(complement(meet(top,X_52)),join(zero,complement(X_52)))) )],[refute_0_186,refute_0_189]) ).
cnf(refute_0_191,plain,
meet(join(zero,complement(X_52)),meet(top,meet(join(zero,complement(X_52)),complement(meet(top,X_52))))) = meet(join(zero,complement(X_52)),meet(top,meet(join(zero,complement(X_52)),complement(meet(top,X_52))))),
introduced(tautology,[refl,[$fot(meet(join(zero,complement(X_52)),meet(top,meet(join(zero,complement(X_52)),complement(meet(top,X_52))))))]]) ).
cnf(refute_0_192,plain,
( meet(join(zero,complement(X_52)),meet(top,meet(join(zero,complement(X_52)),complement(meet(top,X_52))))) != meet(join(zero,complement(X_52)),meet(top,meet(join(zero,complement(X_52)),complement(meet(top,X_52)))))
| meet(top,meet(join(zero,complement(X_52)),complement(meet(top,X_52)))) != meet(top,meet(complement(meet(top,X_52)),join(zero,complement(X_52))))
| meet(join(zero,complement(X_52)),meet(top,meet(join(zero,complement(X_52)),complement(meet(top,X_52))))) = meet(join(zero,complement(X_52)),meet(top,meet(complement(meet(top,X_52)),join(zero,complement(X_52))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(zero,complement(X_52)),meet(top,meet(join(zero,complement(X_52)),complement(meet(top,X_52))))),meet(join(zero,complement(X_52)),meet(top,meet(join(zero,complement(X_52)),complement(meet(top,X_52)))))) ),[1,1],$fot(meet(top,meet(complement(meet(top,X_52)),join(zero,complement(X_52)))))]]) ).
cnf(refute_0_193,plain,
( meet(top,meet(join(zero,complement(X_52)),complement(meet(top,X_52)))) != meet(top,meet(complement(meet(top,X_52)),join(zero,complement(X_52))))
| meet(join(zero,complement(X_52)),meet(top,meet(join(zero,complement(X_52)),complement(meet(top,X_52))))) = meet(join(zero,complement(X_52)),meet(top,meet(complement(meet(top,X_52)),join(zero,complement(X_52))))) ),
inference(resolve,[$cnf( $equal(meet(join(zero,complement(X_52)),meet(top,meet(join(zero,complement(X_52)),complement(meet(top,X_52))))),meet(join(zero,complement(X_52)),meet(top,meet(join(zero,complement(X_52)),complement(meet(top,X_52)))))) )],[refute_0_191,refute_0_192]) ).
cnf(refute_0_194,plain,
meet(join(zero,complement(X_52)),meet(top,meet(join(zero,complement(X_52)),complement(meet(top,X_52))))) = meet(join(zero,complement(X_52)),meet(top,meet(complement(meet(top,X_52)),join(zero,complement(X_52))))),
inference(resolve,[$cnf( $equal(meet(top,meet(join(zero,complement(X_52)),complement(meet(top,X_52)))),meet(top,meet(complement(meet(top,X_52)),join(zero,complement(X_52))))) )],[refute_0_190,refute_0_193]) ).
cnf(refute_0_195,plain,
join(zero,meet(join(zero,complement(X_52)),meet(top,meet(join(zero,complement(X_52)),complement(meet(top,X_52)))))) = join(zero,meet(join(zero,complement(X_52)),meet(top,meet(join(zero,complement(X_52)),complement(meet(top,X_52)))))),
introduced(tautology,[refl,[$fot(join(zero,meet(join(zero,complement(X_52)),meet(top,meet(join(zero,complement(X_52)),complement(meet(top,X_52)))))))]]) ).
cnf(refute_0_196,plain,
( join(zero,meet(join(zero,complement(X_52)),meet(top,meet(join(zero,complement(X_52)),complement(meet(top,X_52)))))) != join(zero,meet(join(zero,complement(X_52)),meet(top,meet(join(zero,complement(X_52)),complement(meet(top,X_52))))))
| meet(join(zero,complement(X_52)),meet(top,meet(join(zero,complement(X_52)),complement(meet(top,X_52))))) != meet(join(zero,complement(X_52)),meet(top,meet(complement(meet(top,X_52)),join(zero,complement(X_52)))))
| join(zero,meet(join(zero,complement(X_52)),meet(top,meet(join(zero,complement(X_52)),complement(meet(top,X_52)))))) = join(zero,meet(join(zero,complement(X_52)),meet(top,meet(complement(meet(top,X_52)),join(zero,complement(X_52)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(join(zero,complement(X_52)),meet(top,meet(join(zero,complement(X_52)),complement(meet(top,X_52)))))),join(zero,meet(join(zero,complement(X_52)),meet(top,meet(join(zero,complement(X_52)),complement(meet(top,X_52))))))) ),[1,1],$fot(meet(join(zero,complement(X_52)),meet(top,meet(complement(meet(top,X_52)),join(zero,complement(X_52))))))]]) ).
cnf(refute_0_197,plain,
( meet(join(zero,complement(X_52)),meet(top,meet(join(zero,complement(X_52)),complement(meet(top,X_52))))) != meet(join(zero,complement(X_52)),meet(top,meet(complement(meet(top,X_52)),join(zero,complement(X_52)))))
| join(zero,meet(join(zero,complement(X_52)),meet(top,meet(join(zero,complement(X_52)),complement(meet(top,X_52)))))) = join(zero,meet(join(zero,complement(X_52)),meet(top,meet(complement(meet(top,X_52)),join(zero,complement(X_52)))))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(join(zero,complement(X_52)),meet(top,meet(join(zero,complement(X_52)),complement(meet(top,X_52)))))),join(zero,meet(join(zero,complement(X_52)),meet(top,meet(join(zero,complement(X_52)),complement(meet(top,X_52))))))) )],[refute_0_195,refute_0_196]) ).
cnf(refute_0_198,plain,
join(zero,meet(join(zero,complement(X_52)),meet(top,meet(join(zero,complement(X_52)),complement(meet(top,X_52)))))) = join(zero,meet(join(zero,complement(X_52)),meet(top,meet(complement(meet(top,X_52)),join(zero,complement(X_52)))))),
inference(resolve,[$cnf( $equal(meet(join(zero,complement(X_52)),meet(top,meet(join(zero,complement(X_52)),complement(meet(top,X_52))))),meet(join(zero,complement(X_52)),meet(top,meet(complement(meet(top,X_52)),join(zero,complement(X_52)))))) )],[refute_0_194,refute_0_197]) ).
cnf(refute_0_199,plain,
( join(zero,complement(X_52)) != join(zero,meet(join(zero,complement(X_52)),meet(top,meet(join(zero,complement(X_52)),complement(meet(top,X_52))))))
| join(zero,meet(join(zero,complement(X_52)),meet(top,meet(join(zero,complement(X_52)),complement(meet(top,X_52)))))) != join(zero,meet(join(zero,complement(X_52)),meet(top,meet(complement(meet(top,X_52)),join(zero,complement(X_52))))))
| join(zero,complement(X_52)) = join(zero,meet(join(zero,complement(X_52)),meet(top,meet(complement(meet(top,X_52)),join(zero,complement(X_52)))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(zero,complement(X_52)),join(zero,meet(join(zero,complement(X_52)),meet(top,meet(complement(meet(top,X_52)),join(zero,complement(X_52))))))) ),[0],$fot(join(zero,meet(join(zero,complement(X_52)),meet(top,meet(join(zero,complement(X_52)),complement(meet(top,X_52)))))))]]) ).
cnf(refute_0_200,plain,
( join(zero,complement(X_52)) != join(zero,meet(join(zero,complement(X_52)),meet(top,meet(join(zero,complement(X_52)),complement(meet(top,X_52))))))
| join(zero,complement(X_52)) = join(zero,meet(join(zero,complement(X_52)),meet(top,meet(complement(meet(top,X_52)),join(zero,complement(X_52)))))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(join(zero,complement(X_52)),meet(top,meet(join(zero,complement(X_52)),complement(meet(top,X_52)))))),join(zero,meet(join(zero,complement(X_52)),meet(top,meet(complement(meet(top,X_52)),join(zero,complement(X_52))))))) )],[refute_0_198,refute_0_199]) ).
cnf(refute_0_201,plain,
join(zero,complement(X_52)) = join(zero,meet(join(zero,complement(X_52)),meet(top,meet(complement(meet(top,X_52)),join(zero,complement(X_52)))))),
inference(resolve,[$cnf( $equal(join(zero,complement(X_52)),join(zero,meet(join(zero,complement(X_52)),meet(top,meet(join(zero,complement(X_52)),complement(meet(top,X_52))))))) )],[refute_0_183,refute_0_200]) ).
cnf(refute_0_202,plain,
meet(join(zero,complement(X_52)),X1) = complement(join(complement(join(zero,complement(X_52))),complement(X1))),
inference(subst,[],[refute_0_17:[bind(X0,$fot(join(zero,complement(X_52))))]]) ).
cnf(refute_0_203,plain,
( complement(join(zero,complement(X_52))) != meet(top,X_52)
| meet(join(zero,complement(X_52)),X1) != complement(join(complement(join(zero,complement(X_52))),complement(X1)))
| meet(join(zero,complement(X_52)),X1) = complement(join(meet(top,X_52),complement(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(zero,complement(X_52)),X1),complement(join(complement(join(zero,complement(X_52))),complement(X1)))) ),[1,0,0],$fot(meet(top,X_52))]]) ).
cnf(refute_0_204,plain,
( meet(join(zero,complement(X_52)),X1) != complement(join(complement(join(zero,complement(X_52))),complement(X1)))
| meet(join(zero,complement(X_52)),X1) = complement(join(meet(top,X_52),complement(X1))) ),
inference(resolve,[$cnf( $equal(complement(join(zero,complement(X_52))),meet(top,X_52)) )],[refute_0_180,refute_0_203]) ).
cnf(refute_0_205,plain,
meet(join(zero,complement(X_52)),X1) = complement(join(meet(top,X_52),complement(X1))),
inference(resolve,[$cnf( $equal(meet(join(zero,complement(X_52)),X1),complement(join(complement(join(zero,complement(X_52))),complement(X1)))) )],[refute_0_202,refute_0_204]) ).
cnf(refute_0_206,plain,
join(complement(X_39),complement(X_40)) = join(complement(top),meet(join(complement(X_39),complement(X_40)),complement(complement(join(complement(X_39),complement(X_40)))))),
inference(subst,[],[refute_0_118:[bind(X_14,$fot(join(complement(X_39),complement(X_40))))]]) ).
cnf(refute_0_207,plain,
( complement(join(complement(X_39),complement(X_40))) != meet(X_39,X_40)
| join(complement(X_39),complement(X_40)) != join(complement(top),meet(join(complement(X_39),complement(X_40)),complement(complement(join(complement(X_39),complement(X_40))))))
| join(complement(X_39),complement(X_40)) = join(complement(top),meet(join(complement(X_39),complement(X_40)),complement(meet(X_39,X_40)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_39),complement(X_40)),join(complement(top),meet(join(complement(X_39),complement(X_40)),complement(complement(join(complement(X_39),complement(X_40))))))) ),[1,1,1,0],$fot(meet(X_39,X_40))]]) ).
cnf(refute_0_208,plain,
( join(complement(X_39),complement(X_40)) != join(complement(top),meet(join(complement(X_39),complement(X_40)),complement(complement(join(complement(X_39),complement(X_40))))))
| join(complement(X_39),complement(X_40)) = join(complement(top),meet(join(complement(X_39),complement(X_40)),complement(meet(X_39,X_40)))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_39),complement(X_40))),meet(X_39,X_40)) )],[refute_0_142,refute_0_207]) ).
cnf(refute_0_209,plain,
join(complement(X_39),complement(X_40)) = join(complement(top),meet(join(complement(X_39),complement(X_40)),complement(meet(X_39,X_40)))),
inference(resolve,[$cnf( $equal(join(complement(X_39),complement(X_40)),join(complement(top),meet(join(complement(X_39),complement(X_40)),complement(complement(join(complement(X_39),complement(X_40))))))) )],[refute_0_206,refute_0_208]) ).
cnf(refute_0_210,plain,
meet(join(complement(X_39),complement(X_40)),complement(meet(X_39,X_40))) = complement(join(meet(X_39,X_40),complement(complement(meet(X_39,X_40))))),
inference(subst,[],[refute_0_156:[bind(X1,$fot(complement(meet(X_39,X_40))))]]) ).
cnf(refute_0_211,plain,
join(complement(top),meet(join(complement(X_39),complement(X_40)),complement(meet(X_39,X_40)))) = join(complement(top),meet(join(complement(X_39),complement(X_40)),complement(meet(X_39,X_40)))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(join(complement(X_39),complement(X_40)),complement(meet(X_39,X_40)))))]]) ).
cnf(refute_0_212,plain,
( join(complement(top),meet(join(complement(X_39),complement(X_40)),complement(meet(X_39,X_40)))) != join(complement(top),meet(join(complement(X_39),complement(X_40)),complement(meet(X_39,X_40))))
| meet(join(complement(X_39),complement(X_40)),complement(meet(X_39,X_40))) != complement(join(meet(X_39,X_40),complement(complement(meet(X_39,X_40)))))
| join(complement(top),meet(join(complement(X_39),complement(X_40)),complement(meet(X_39,X_40)))) = join(complement(top),complement(join(meet(X_39,X_40),complement(complement(meet(X_39,X_40)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(join(complement(X_39),complement(X_40)),complement(meet(X_39,X_40)))),join(complement(top),meet(join(complement(X_39),complement(X_40)),complement(meet(X_39,X_40))))) ),[1,1],$fot(complement(join(meet(X_39,X_40),complement(complement(meet(X_39,X_40))))))]]) ).
cnf(refute_0_213,plain,
( meet(join(complement(X_39),complement(X_40)),complement(meet(X_39,X_40))) != complement(join(meet(X_39,X_40),complement(complement(meet(X_39,X_40)))))
| join(complement(top),meet(join(complement(X_39),complement(X_40)),complement(meet(X_39,X_40)))) = join(complement(top),complement(join(meet(X_39,X_40),complement(complement(meet(X_39,X_40)))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(join(complement(X_39),complement(X_40)),complement(meet(X_39,X_40)))),join(complement(top),meet(join(complement(X_39),complement(X_40)),complement(meet(X_39,X_40))))) )],[refute_0_211,refute_0_212]) ).
cnf(refute_0_214,plain,
join(complement(top),meet(join(complement(X_39),complement(X_40)),complement(meet(X_39,X_40)))) = join(complement(top),complement(join(meet(X_39,X_40),complement(complement(meet(X_39,X_40)))))),
inference(resolve,[$cnf( $equal(meet(join(complement(X_39),complement(X_40)),complement(meet(X_39,X_40))),complement(join(meet(X_39,X_40),complement(complement(meet(X_39,X_40)))))) )],[refute_0_210,refute_0_213]) ).
cnf(refute_0_215,plain,
( join(complement(X_39),complement(X_40)) != join(complement(top),meet(join(complement(X_39),complement(X_40)),complement(meet(X_39,X_40))))
| join(complement(top),meet(join(complement(X_39),complement(X_40)),complement(meet(X_39,X_40)))) != join(complement(top),complement(join(meet(X_39,X_40),complement(complement(meet(X_39,X_40))))))
| join(complement(X_39),complement(X_40)) = join(complement(top),complement(join(meet(X_39,X_40),complement(complement(meet(X_39,X_40)))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(complement(X_39),complement(X_40)),join(complement(top),complement(join(meet(X_39,X_40),complement(complement(meet(X_39,X_40))))))) ),[0],$fot(join(complement(top),meet(join(complement(X_39),complement(X_40)),complement(meet(X_39,X_40)))))]]) ).
cnf(refute_0_216,plain,
( join(complement(X_39),complement(X_40)) != join(complement(top),meet(join(complement(X_39),complement(X_40)),complement(meet(X_39,X_40))))
| join(complement(X_39),complement(X_40)) = join(complement(top),complement(join(meet(X_39,X_40),complement(complement(meet(X_39,X_40)))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(join(complement(X_39),complement(X_40)),complement(meet(X_39,X_40)))),join(complement(top),complement(join(meet(X_39,X_40),complement(complement(meet(X_39,X_40))))))) )],[refute_0_214,refute_0_215]) ).
cnf(refute_0_217,plain,
join(complement(X_39),complement(X_40)) = join(complement(top),complement(join(meet(X_39,X_40),complement(complement(meet(X_39,X_40)))))),
inference(resolve,[$cnf( $equal(join(complement(X_39),complement(X_40)),join(complement(top),meet(join(complement(X_39),complement(X_40)),complement(meet(X_39,X_40))))) )],[refute_0_209,refute_0_216]) ).
cnf(refute_0_218,plain,
join(complement(top),complement(join(meet(X_39,X_40),complement(complement(meet(X_39,X_40)))))) = join(complement(top),complement(join(meet(X_39,X_40),complement(complement(meet(X_39,X_40)))))),
introduced(tautology,[refl,[$fot(join(complement(top),complement(join(meet(X_39,X_40),complement(complement(meet(X_39,X_40)))))))]]) ).
cnf(refute_0_219,plain,
( complement(top) != zero
| join(complement(top),complement(join(meet(X_39,X_40),complement(complement(meet(X_39,X_40)))))) != join(complement(top),complement(join(meet(X_39,X_40),complement(complement(meet(X_39,X_40))))))
| join(complement(top),complement(join(meet(X_39,X_40),complement(complement(meet(X_39,X_40)))))) = join(zero,complement(join(meet(X_39,X_40),complement(complement(meet(X_39,X_40)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),complement(join(meet(X_39,X_40),complement(complement(meet(X_39,X_40)))))),join(complement(top),complement(join(meet(X_39,X_40),complement(complement(meet(X_39,X_40))))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_220,plain,
( complement(top) != zero
| join(complement(top),complement(join(meet(X_39,X_40),complement(complement(meet(X_39,X_40)))))) = join(zero,complement(join(meet(X_39,X_40),complement(complement(meet(X_39,X_40)))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),complement(join(meet(X_39,X_40),complement(complement(meet(X_39,X_40)))))),join(complement(top),complement(join(meet(X_39,X_40),complement(complement(meet(X_39,X_40))))))) )],[refute_0_218,refute_0_219]) ).
cnf(refute_0_221,plain,
join(complement(top),complement(join(meet(X_39,X_40),complement(complement(meet(X_39,X_40)))))) = join(zero,complement(join(meet(X_39,X_40),complement(complement(meet(X_39,X_40)))))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_165,refute_0_220]) ).
cnf(refute_0_222,plain,
( join(complement(X_39),complement(X_40)) != join(complement(top),complement(join(meet(X_39,X_40),complement(complement(meet(X_39,X_40))))))
| join(complement(top),complement(join(meet(X_39,X_40),complement(complement(meet(X_39,X_40)))))) != join(zero,complement(join(meet(X_39,X_40),complement(complement(meet(X_39,X_40))))))
| join(complement(X_39),complement(X_40)) = join(zero,complement(join(meet(X_39,X_40),complement(complement(meet(X_39,X_40)))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(complement(X_39),complement(X_40)),join(zero,complement(join(meet(X_39,X_40),complement(complement(meet(X_39,X_40))))))) ),[0],$fot(join(complement(top),complement(join(meet(X_39,X_40),complement(complement(meet(X_39,X_40)))))))]]) ).
cnf(refute_0_223,plain,
( join(complement(X_39),complement(X_40)) != join(complement(top),complement(join(meet(X_39,X_40),complement(complement(meet(X_39,X_40))))))
| join(complement(X_39),complement(X_40)) = join(zero,complement(join(meet(X_39,X_40),complement(complement(meet(X_39,X_40)))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),complement(join(meet(X_39,X_40),complement(complement(meet(X_39,X_40)))))),join(zero,complement(join(meet(X_39,X_40),complement(complement(meet(X_39,X_40))))))) )],[refute_0_221,refute_0_222]) ).
cnf(refute_0_224,plain,
join(complement(X_39),complement(X_40)) = join(zero,complement(join(meet(X_39,X_40),complement(complement(meet(X_39,X_40)))))),
inference(resolve,[$cnf( $equal(join(complement(X_39),complement(X_40)),join(complement(top),complement(join(meet(X_39,X_40),complement(complement(meet(X_39,X_40))))))) )],[refute_0_217,refute_0_223]) ).
cnf(refute_0_225,plain,
X_14 = join(meet(X_14,X_15),complement(join(complement(X_14),X_15))),
inference(subst,[],[refute_0_31:[bind(X0,$fot(X_14)),bind(X1,$fot(X_15))]]) ).
cnf(refute_0_226,plain,
join(X_15,complement(X_14)) = join(complement(X_14),X_15),
inference(subst,[],[refute_0_1:[bind(X0,$fot(X_15)),bind(X1,$fot(complement(X_14)))]]) ).
cnf(refute_0_227,plain,
( join(X_15,complement(X_14)) != join(complement(X_14),X_15)
| join(complement(X_14),X_15) = join(X_15,complement(X_14)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(X_15,complement(X_14)))),bind(Y,$fot(join(complement(X_14),X_15)))]]) ).
cnf(refute_0_228,plain,
join(complement(X_14),X_15) = join(X_15,complement(X_14)),
inference(resolve,[$cnf( $equal(join(X_15,complement(X_14)),join(complement(X_14),X_15)) )],[refute_0_226,refute_0_227]) ).
cnf(refute_0_229,plain,
( X_14 != join(meet(X_14,X_15),complement(join(complement(X_14),X_15)))
| join(complement(X_14),X_15) != join(X_15,complement(X_14))
| X_14 = join(meet(X_14,X_15),complement(join(X_15,complement(X_14)))) ),
introduced(tautology,[equality,[$cnf( $equal(X_14,join(meet(X_14,X_15),complement(join(complement(X_14),X_15)))) ),[1,1,0],$fot(join(X_15,complement(X_14)))]]) ).
cnf(refute_0_230,plain,
( X_14 != join(meet(X_14,X_15),complement(join(complement(X_14),X_15)))
| X_14 = join(meet(X_14,X_15),complement(join(X_15,complement(X_14)))) ),
inference(resolve,[$cnf( $equal(join(complement(X_14),X_15),join(X_15,complement(X_14))) )],[refute_0_228,refute_0_229]) ).
cnf(refute_0_231,plain,
X_14 = join(meet(X_14,X_15),complement(join(X_15,complement(X_14)))),
inference(resolve,[$cnf( $equal(X_14,join(meet(X_14,X_15),complement(join(complement(X_14),X_15)))) )],[refute_0_225,refute_0_230]) ).
cnf(refute_0_232,plain,
meet(X_14,X_15) = meet(X_15,X_14),
inference(subst,[],[refute_0_42:[bind(X_39,$fot(X_14)),bind(X_40,$fot(X_15))]]) ).
cnf(refute_0_233,plain,
( X_14 != join(meet(X_14,X_15),complement(join(X_15,complement(X_14))))
| meet(X_14,X_15) != meet(X_15,X_14)
| X_14 = join(meet(X_15,X_14),complement(join(X_15,complement(X_14)))) ),
introduced(tautology,[equality,[$cnf( $equal(X_14,join(meet(X_14,X_15),complement(join(X_15,complement(X_14))))) ),[1,0],$fot(meet(X_15,X_14))]]) ).
cnf(refute_0_234,plain,
( X_14 != join(meet(X_14,X_15),complement(join(X_15,complement(X_14))))
| X_14 = join(meet(X_15,X_14),complement(join(X_15,complement(X_14)))) ),
inference(resolve,[$cnf( $equal(meet(X_14,X_15),meet(X_15,X_14)) )],[refute_0_232,refute_0_233]) ).
cnf(refute_0_235,plain,
X_14 = join(meet(X_15,X_14),complement(join(X_15,complement(X_14)))),
inference(resolve,[$cnf( $equal(X_14,join(meet(X_14,X_15),complement(join(X_15,complement(X_14))))) )],[refute_0_231,refute_0_234]) ).
cnf(refute_0_236,plain,
complement(X_65) = join(meet(X_65,complement(X_65)),complement(join(X_65,complement(complement(X_65))))),
inference(subst,[],[refute_0_235:[bind(X_14,$fot(complement(X_65))),bind(X_15,$fot(X_65))]]) ).
cnf(refute_0_237,plain,
zero = meet(X_65,complement(X_65)),
inference(subst,[],[refute_0_139:[bind(X0,$fot(X_65))]]) ).
cnf(refute_0_238,plain,
( zero != meet(X_65,complement(X_65))
| meet(X_65,complement(X_65)) = zero ),
inference(subst,[],[refute_0_4:[bind(X,$fot(zero)),bind(Y,$fot(meet(X_65,complement(X_65))))]]) ).
cnf(refute_0_239,plain,
meet(X_65,complement(X_65)) = zero,
inference(resolve,[$cnf( $equal(zero,meet(X_65,complement(X_65))) )],[refute_0_237,refute_0_238]) ).
cnf(refute_0_240,plain,
( complement(X_65) != join(meet(X_65,complement(X_65)),complement(join(X_65,complement(complement(X_65)))))
| meet(X_65,complement(X_65)) != zero
| complement(X_65) = join(zero,complement(join(X_65,complement(complement(X_65))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(X_65),join(meet(X_65,complement(X_65)),complement(join(X_65,complement(complement(X_65)))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_241,plain,
( complement(X_65) != join(meet(X_65,complement(X_65)),complement(join(X_65,complement(complement(X_65)))))
| complement(X_65) = join(zero,complement(join(X_65,complement(complement(X_65))))) ),
inference(resolve,[$cnf( $equal(meet(X_65,complement(X_65)),zero) )],[refute_0_239,refute_0_240]) ).
cnf(refute_0_242,plain,
complement(X_65) = join(zero,complement(join(X_65,complement(complement(X_65))))),
inference(resolve,[$cnf( $equal(complement(X_65),join(meet(X_65,complement(X_65)),complement(join(X_65,complement(complement(X_65)))))) )],[refute_0_236,refute_0_241]) ).
cnf(refute_0_243,plain,
( complement(X_65) != join(zero,complement(join(X_65,complement(complement(X_65)))))
| join(zero,complement(join(X_65,complement(complement(X_65))))) = complement(X_65) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(complement(X_65))),bind(Y,$fot(join(zero,complement(join(X_65,complement(complement(X_65)))))))]]) ).
cnf(refute_0_244,plain,
join(zero,complement(join(X_65,complement(complement(X_65))))) = complement(X_65),
inference(resolve,[$cnf( $equal(complement(X_65),join(zero,complement(join(X_65,complement(complement(X_65)))))) )],[refute_0_242,refute_0_243]) ).
cnf(refute_0_245,plain,
join(zero,complement(join(meet(X_39,X_40),complement(complement(meet(X_39,X_40)))))) = complement(meet(X_39,X_40)),
inference(subst,[],[refute_0_244:[bind(X_65,$fot(meet(X_39,X_40)))]]) ).
cnf(refute_0_246,plain,
( join(complement(X_39),complement(X_40)) != join(zero,complement(join(meet(X_39,X_40),complement(complement(meet(X_39,X_40))))))
| join(zero,complement(join(meet(X_39,X_40),complement(complement(meet(X_39,X_40)))))) != complement(meet(X_39,X_40))
| join(complement(X_39),complement(X_40)) = complement(meet(X_39,X_40)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(complement(X_39),complement(X_40)),complement(meet(X_39,X_40))) ),[0],$fot(join(zero,complement(join(meet(X_39,X_40),complement(complement(meet(X_39,X_40)))))))]]) ).
cnf(refute_0_247,plain,
( join(complement(X_39),complement(X_40)) != join(zero,complement(join(meet(X_39,X_40),complement(complement(meet(X_39,X_40))))))
| join(complement(X_39),complement(X_40)) = complement(meet(X_39,X_40)) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(meet(X_39,X_40),complement(complement(meet(X_39,X_40)))))),complement(meet(X_39,X_40))) )],[refute_0_245,refute_0_246]) ).
cnf(refute_0_248,plain,
join(complement(X_39),complement(X_40)) = complement(meet(X_39,X_40)),
inference(resolve,[$cnf( $equal(join(complement(X_39),complement(X_40)),join(zero,complement(join(meet(X_39,X_40),complement(complement(meet(X_39,X_40))))))) )],[refute_0_224,refute_0_247]) ).
cnf(refute_0_249,plain,
meet(join(complement(X_39),complement(X_40)),X1) = meet(join(complement(X_39),complement(X_40)),X1),
introduced(tautology,[refl,[$fot(meet(join(complement(X_39),complement(X_40)),X1))]]) ).
cnf(refute_0_250,plain,
( join(complement(X_39),complement(X_40)) != complement(meet(X_39,X_40))
| meet(join(complement(X_39),complement(X_40)),X1) != meet(join(complement(X_39),complement(X_40)),X1)
| meet(join(complement(X_39),complement(X_40)),X1) = meet(complement(meet(X_39,X_40)),X1) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(complement(X_39),complement(X_40)),X1),meet(join(complement(X_39),complement(X_40)),X1)) ),[1,0],$fot(complement(meet(X_39,X_40)))]]) ).
cnf(refute_0_251,plain,
( join(complement(X_39),complement(X_40)) != complement(meet(X_39,X_40))
| meet(join(complement(X_39),complement(X_40)),X1) = meet(complement(meet(X_39,X_40)),X1) ),
inference(resolve,[$cnf( $equal(meet(join(complement(X_39),complement(X_40)),X1),meet(join(complement(X_39),complement(X_40)),X1)) )],[refute_0_249,refute_0_250]) ).
cnf(refute_0_252,plain,
meet(join(complement(X_39),complement(X_40)),X1) = meet(complement(meet(X_39,X_40)),X1),
inference(resolve,[$cnf( $equal(join(complement(X_39),complement(X_40)),complement(meet(X_39,X_40))) )],[refute_0_248,refute_0_251]) ).
cnf(refute_0_253,plain,
( meet(join(complement(X_39),complement(X_40)),X1) != complement(join(meet(X_39,X_40),complement(X1)))
| meet(join(complement(X_39),complement(X_40)),X1) != meet(complement(meet(X_39,X_40)),X1)
| meet(complement(meet(X_39,X_40)),X1) = complement(join(meet(X_39,X_40),complement(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(complement(X_39),complement(X_40)),X1),complement(join(meet(X_39,X_40),complement(X1)))) ),[0],$fot(meet(complement(meet(X_39,X_40)),X1))]]) ).
cnf(refute_0_254,plain,
( meet(join(complement(X_39),complement(X_40)),X1) != complement(join(meet(X_39,X_40),complement(X1)))
| meet(complement(meet(X_39,X_40)),X1) = complement(join(meet(X_39,X_40),complement(X1))) ),
inference(resolve,[$cnf( $equal(meet(join(complement(X_39),complement(X_40)),X1),meet(complement(meet(X_39,X_40)),X1)) )],[refute_0_252,refute_0_253]) ).
cnf(refute_0_255,plain,
meet(complement(meet(X_39,X_40)),X1) = complement(join(meet(X_39,X_40),complement(X1))),
inference(resolve,[$cnf( $equal(meet(join(complement(X_39),complement(X_40)),X1),complement(join(meet(X_39,X_40),complement(X1)))) )],[refute_0_156,refute_0_254]) ).
cnf(refute_0_256,plain,
( meet(complement(meet(X_39,X_40)),X1) != complement(join(meet(X_39,X_40),complement(X1)))
| complement(join(meet(X_39,X_40),complement(X1))) = meet(complement(meet(X_39,X_40)),X1) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(meet(complement(meet(X_39,X_40)),X1))),bind(Y,$fot(complement(join(meet(X_39,X_40),complement(X1)))))]]) ).
cnf(refute_0_257,plain,
complement(join(meet(X_39,X_40),complement(X1))) = meet(complement(meet(X_39,X_40)),X1),
inference(resolve,[$cnf( $equal(meet(complement(meet(X_39,X_40)),X1),complement(join(meet(X_39,X_40),complement(X1)))) )],[refute_0_255,refute_0_256]) ).
cnf(refute_0_258,plain,
complement(join(meet(top,X_52),complement(X1))) = meet(complement(meet(top,X_52)),X1),
inference(subst,[],[refute_0_257:[bind(X_39,$fot(top)),bind(X_40,$fot(X_52))]]) ).
cnf(refute_0_259,plain,
( complement(join(meet(top,X_52),complement(X1))) != meet(complement(meet(top,X_52)),X1)
| meet(join(zero,complement(X_52)),X1) != complement(join(meet(top,X_52),complement(X1)))
| meet(join(zero,complement(X_52)),X1) = meet(complement(meet(top,X_52)),X1) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(zero,complement(X_52)),X1),complement(join(meet(top,X_52),complement(X1)))) ),[1],$fot(meet(complement(meet(top,X_52)),X1))]]) ).
cnf(refute_0_260,plain,
( meet(join(zero,complement(X_52)),X1) != complement(join(meet(top,X_52),complement(X1)))
| meet(join(zero,complement(X_52)),X1) = meet(complement(meet(top,X_52)),X1) ),
inference(resolve,[$cnf( $equal(complement(join(meet(top,X_52),complement(X1))),meet(complement(meet(top,X_52)),X1)) )],[refute_0_258,refute_0_259]) ).
cnf(refute_0_261,plain,
meet(join(zero,complement(X_52)),X1) = meet(complement(meet(top,X_52)),X1),
inference(resolve,[$cnf( $equal(meet(join(zero,complement(X_52)),X1),complement(join(meet(top,X_52),complement(X1)))) )],[refute_0_205,refute_0_260]) ).
cnf(refute_0_262,plain,
meet(join(zero,complement(X_52)),meet(top,meet(complement(meet(top,X_52)),join(zero,complement(X_52))))) = meet(complement(meet(top,X_52)),meet(top,meet(complement(meet(top,X_52)),join(zero,complement(X_52))))),
inference(subst,[],[refute_0_261:[bind(X1,$fot(meet(top,meet(complement(meet(top,X_52)),join(zero,complement(X_52))))))]]) ).
cnf(refute_0_263,plain,
join(zero,meet(join(zero,complement(X_52)),meet(top,meet(complement(meet(top,X_52)),join(zero,complement(X_52)))))) = join(zero,meet(join(zero,complement(X_52)),meet(top,meet(complement(meet(top,X_52)),join(zero,complement(X_52)))))),
introduced(tautology,[refl,[$fot(join(zero,meet(join(zero,complement(X_52)),meet(top,meet(complement(meet(top,X_52)),join(zero,complement(X_52)))))))]]) ).
cnf(refute_0_264,plain,
( join(zero,meet(join(zero,complement(X_52)),meet(top,meet(complement(meet(top,X_52)),join(zero,complement(X_52)))))) != join(zero,meet(join(zero,complement(X_52)),meet(top,meet(complement(meet(top,X_52)),join(zero,complement(X_52))))))
| meet(join(zero,complement(X_52)),meet(top,meet(complement(meet(top,X_52)),join(zero,complement(X_52))))) != meet(complement(meet(top,X_52)),meet(top,meet(complement(meet(top,X_52)),join(zero,complement(X_52)))))
| join(zero,meet(join(zero,complement(X_52)),meet(top,meet(complement(meet(top,X_52)),join(zero,complement(X_52)))))) = join(zero,meet(complement(meet(top,X_52)),meet(top,meet(complement(meet(top,X_52)),join(zero,complement(X_52)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(join(zero,complement(X_52)),meet(top,meet(complement(meet(top,X_52)),join(zero,complement(X_52)))))),join(zero,meet(join(zero,complement(X_52)),meet(top,meet(complement(meet(top,X_52)),join(zero,complement(X_52))))))) ),[1,1],$fot(meet(complement(meet(top,X_52)),meet(top,meet(complement(meet(top,X_52)),join(zero,complement(X_52))))))]]) ).
cnf(refute_0_265,plain,
( meet(join(zero,complement(X_52)),meet(top,meet(complement(meet(top,X_52)),join(zero,complement(X_52))))) != meet(complement(meet(top,X_52)),meet(top,meet(complement(meet(top,X_52)),join(zero,complement(X_52)))))
| join(zero,meet(join(zero,complement(X_52)),meet(top,meet(complement(meet(top,X_52)),join(zero,complement(X_52)))))) = join(zero,meet(complement(meet(top,X_52)),meet(top,meet(complement(meet(top,X_52)),join(zero,complement(X_52)))))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(join(zero,complement(X_52)),meet(top,meet(complement(meet(top,X_52)),join(zero,complement(X_52)))))),join(zero,meet(join(zero,complement(X_52)),meet(top,meet(complement(meet(top,X_52)),join(zero,complement(X_52))))))) )],[refute_0_263,refute_0_264]) ).
cnf(refute_0_266,plain,
join(zero,meet(join(zero,complement(X_52)),meet(top,meet(complement(meet(top,X_52)),join(zero,complement(X_52)))))) = join(zero,meet(complement(meet(top,X_52)),meet(top,meet(complement(meet(top,X_52)),join(zero,complement(X_52)))))),
inference(resolve,[$cnf( $equal(meet(join(zero,complement(X_52)),meet(top,meet(complement(meet(top,X_52)),join(zero,complement(X_52))))),meet(complement(meet(top,X_52)),meet(top,meet(complement(meet(top,X_52)),join(zero,complement(X_52)))))) )],[refute_0_262,refute_0_265]) ).
cnf(refute_0_267,plain,
( join(zero,complement(X_52)) != join(zero,meet(join(zero,complement(X_52)),meet(top,meet(complement(meet(top,X_52)),join(zero,complement(X_52))))))
| join(zero,meet(join(zero,complement(X_52)),meet(top,meet(complement(meet(top,X_52)),join(zero,complement(X_52)))))) != join(zero,meet(complement(meet(top,X_52)),meet(top,meet(complement(meet(top,X_52)),join(zero,complement(X_52))))))
| join(zero,complement(X_52)) = join(zero,meet(complement(meet(top,X_52)),meet(top,meet(complement(meet(top,X_52)),join(zero,complement(X_52)))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(zero,complement(X_52)),join(zero,meet(complement(meet(top,X_52)),meet(top,meet(complement(meet(top,X_52)),join(zero,complement(X_52))))))) ),[0],$fot(join(zero,meet(join(zero,complement(X_52)),meet(top,meet(complement(meet(top,X_52)),join(zero,complement(X_52)))))))]]) ).
cnf(refute_0_268,plain,
( join(zero,complement(X_52)) != join(zero,meet(join(zero,complement(X_52)),meet(top,meet(complement(meet(top,X_52)),join(zero,complement(X_52))))))
| join(zero,complement(X_52)) = join(zero,meet(complement(meet(top,X_52)),meet(top,meet(complement(meet(top,X_52)),join(zero,complement(X_52)))))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(join(zero,complement(X_52)),meet(top,meet(complement(meet(top,X_52)),join(zero,complement(X_52)))))),join(zero,meet(complement(meet(top,X_52)),meet(top,meet(complement(meet(top,X_52)),join(zero,complement(X_52))))))) )],[refute_0_266,refute_0_267]) ).
cnf(refute_0_269,plain,
join(zero,complement(X_52)) = join(zero,meet(complement(meet(top,X_52)),meet(top,meet(complement(meet(top,X_52)),join(zero,complement(X_52)))))),
inference(resolve,[$cnf( $equal(join(zero,complement(X_52)),join(zero,meet(join(zero,complement(X_52)),meet(top,meet(complement(meet(top,X_52)),join(zero,complement(X_52))))))) )],[refute_0_201,refute_0_268]) ).
cnf(refute_0_270,plain,
X0 = join(meet(X0,meet(top,meet(X0,X0))),complement(join(complement(X0),meet(top,meet(X0,X0))))),
inference(subst,[],[refute_0_31:[bind(X1,$fot(meet(top,meet(X0,X0))))]]) ).
cnf(refute_0_271,plain,
top = join(meet(top,meet(X_25,X_25)),complement(join(complement(top),meet(X_25,X_25)))),
inference(subst,[],[refute_0_31:[bind(X0,$fot(top)),bind(X1,$fot(meet(X_25,X_25)))]]) ).
cnf(refute_0_272,plain,
X_23 = join(meet(X_23,X_23),complement(join(X_23,complement(X_23)))),
inference(subst,[],[refute_0_231:[bind(X_14,$fot(X_23)),bind(X_15,$fot(X_23))]]) ).
cnf(refute_0_273,plain,
top = join(X_23,complement(X_23)),
inference(subst,[],[refute_0_108:[bind(X0,$fot(X_23))]]) ).
cnf(refute_0_274,plain,
( top != join(X_23,complement(X_23))
| join(X_23,complement(X_23)) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(X_23,complement(X_23))))]]) ).
cnf(refute_0_275,plain,
join(X_23,complement(X_23)) = top,
inference(resolve,[$cnf( $equal(top,join(X_23,complement(X_23))) )],[refute_0_273,refute_0_274]) ).
cnf(refute_0_276,plain,
( X_23 != join(meet(X_23,X_23),complement(join(X_23,complement(X_23))))
| join(X_23,complement(X_23)) != top
| X_23 = join(meet(X_23,X_23),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(X_23,join(meet(X_23,X_23),complement(join(X_23,complement(X_23))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_0_277,plain,
( X_23 != join(meet(X_23,X_23),complement(join(X_23,complement(X_23))))
| X_23 = join(meet(X_23,X_23),complement(top)) ),
inference(resolve,[$cnf( $equal(join(X_23,complement(X_23)),top) )],[refute_0_275,refute_0_276]) ).
cnf(refute_0_278,plain,
X_23 = join(meet(X_23,X_23),complement(top)),
inference(resolve,[$cnf( $equal(X_23,join(meet(X_23,X_23),complement(join(X_23,complement(X_23))))) )],[refute_0_272,refute_0_277]) ).
cnf(refute_0_279,plain,
join(meet(X_23,X_23),complement(top)) = join(complement(top),meet(X_23,X_23)),
inference(subst,[],[refute_0_6:[bind(X0,$fot(complement(top))),bind(X1,$fot(meet(X_23,X_23)))]]) ).
cnf(refute_0_280,plain,
( X_23 != join(meet(X_23,X_23),complement(top))
| join(meet(X_23,X_23),complement(top)) != join(complement(top),meet(X_23,X_23))
| X_23 = join(complement(top),meet(X_23,X_23)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_23,join(complement(top),meet(X_23,X_23))) ),[0],$fot(join(meet(X_23,X_23),complement(top)))]]) ).
cnf(refute_0_281,plain,
( X_23 != join(meet(X_23,X_23),complement(top))
| X_23 = join(complement(top),meet(X_23,X_23)) ),
inference(resolve,[$cnf( $equal(join(meet(X_23,X_23),complement(top)),join(complement(top),meet(X_23,X_23))) )],[refute_0_279,refute_0_280]) ).
cnf(refute_0_282,plain,
X_23 = join(complement(top),meet(X_23,X_23)),
inference(resolve,[$cnf( $equal(X_23,join(meet(X_23,X_23),complement(top))) )],[refute_0_278,refute_0_281]) ).
cnf(refute_0_283,plain,
X_25 = join(complement(top),meet(X_25,X_25)),
inference(subst,[],[refute_0_282:[bind(X_23,$fot(X_25))]]) ).
cnf(refute_0_284,plain,
( X_25 != join(complement(top),meet(X_25,X_25))
| join(complement(top),meet(X_25,X_25)) = X_25 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(X_25)),bind(Y,$fot(join(complement(top),meet(X_25,X_25))))]]) ).
cnf(refute_0_285,plain,
join(complement(top),meet(X_25,X_25)) = X_25,
inference(resolve,[$cnf( $equal(X_25,join(complement(top),meet(X_25,X_25))) )],[refute_0_283,refute_0_284]) ).
cnf(refute_0_286,plain,
( join(complement(top),meet(X_25,X_25)) != X_25
| top != join(meet(top,meet(X_25,X_25)),complement(join(complement(top),meet(X_25,X_25))))
| top = join(meet(top,meet(X_25,X_25)),complement(X_25)) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(meet(top,meet(X_25,X_25)),complement(join(complement(top),meet(X_25,X_25))))) ),[1,1,0],$fot(X_25)]]) ).
cnf(refute_0_287,plain,
( top != join(meet(top,meet(X_25,X_25)),complement(join(complement(top),meet(X_25,X_25))))
| top = join(meet(top,meet(X_25,X_25)),complement(X_25)) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_25,X_25)),X_25) )],[refute_0_285,refute_0_286]) ).
cnf(refute_0_288,plain,
top = join(meet(top,meet(X_25,X_25)),complement(X_25)),
inference(resolve,[$cnf( $equal(top,join(meet(top,meet(X_25,X_25)),complement(join(complement(top),meet(X_25,X_25))))) )],[refute_0_271,refute_0_287]) ).
cnf(refute_0_289,plain,
join(meet(top,meet(X_25,X_25)),complement(X_25)) = join(complement(X_25),meet(top,meet(X_25,X_25))),
inference(subst,[],[refute_0_6:[bind(X0,$fot(complement(X_25))),bind(X1,$fot(meet(top,meet(X_25,X_25))))]]) ).
cnf(refute_0_290,plain,
( join(meet(top,meet(X_25,X_25)),complement(X_25)) != join(complement(X_25),meet(top,meet(X_25,X_25)))
| top != join(meet(top,meet(X_25,X_25)),complement(X_25))
| top = join(complement(X_25),meet(top,meet(X_25,X_25))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(meet(top,meet(X_25,X_25)),complement(X_25))) ),[1],$fot(join(complement(X_25),meet(top,meet(X_25,X_25))))]]) ).
cnf(refute_0_291,plain,
( top != join(meet(top,meet(X_25,X_25)),complement(X_25))
| top = join(complement(X_25),meet(top,meet(X_25,X_25))) ),
inference(resolve,[$cnf( $equal(join(meet(top,meet(X_25,X_25)),complement(X_25)),join(complement(X_25),meet(top,meet(X_25,X_25)))) )],[refute_0_289,refute_0_290]) ).
cnf(refute_0_292,plain,
top = join(complement(X_25),meet(top,meet(X_25,X_25))),
inference(resolve,[$cnf( $equal(top,join(meet(top,meet(X_25,X_25)),complement(X_25))) )],[refute_0_288,refute_0_291]) ).
cnf(refute_0_293,plain,
top = join(complement(X0),meet(top,meet(X0,X0))),
inference(subst,[],[refute_0_292:[bind(X_25,$fot(X0))]]) ).
cnf(refute_0_294,plain,
( top != join(complement(X0),meet(top,meet(X0,X0)))
| join(complement(X0),meet(top,meet(X0,X0))) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(complement(X0),meet(top,meet(X0,X0)))))]]) ).
cnf(refute_0_295,plain,
join(complement(X0),meet(top,meet(X0,X0))) = top,
inference(resolve,[$cnf( $equal(top,join(complement(X0),meet(top,meet(X0,X0)))) )],[refute_0_293,refute_0_294]) ).
cnf(refute_0_296,plain,
( X0 != join(meet(X0,meet(top,meet(X0,X0))),complement(join(complement(X0),meet(top,meet(X0,X0)))))
| join(complement(X0),meet(top,meet(X0,X0))) != top
| X0 = join(meet(X0,meet(top,meet(X0,X0))),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(X0,join(meet(X0,meet(top,meet(X0,X0))),complement(join(complement(X0),meet(top,meet(X0,X0)))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_0_297,plain,
( X0 != join(meet(X0,meet(top,meet(X0,X0))),complement(join(complement(X0),meet(top,meet(X0,X0)))))
| X0 = join(meet(X0,meet(top,meet(X0,X0))),complement(top)) ),
inference(resolve,[$cnf( $equal(join(complement(X0),meet(top,meet(X0,X0))),top) )],[refute_0_295,refute_0_296]) ).
cnf(refute_0_298,plain,
X0 = join(meet(X0,meet(top,meet(X0,X0))),complement(top)),
inference(resolve,[$cnf( $equal(X0,join(meet(X0,meet(top,meet(X0,X0))),complement(join(complement(X0),meet(top,meet(X0,X0)))))) )],[refute_0_270,refute_0_297]) ).
cnf(refute_0_299,plain,
join(meet(X0,meet(top,meet(X0,X0))),complement(top)) = join(complement(top),meet(X0,meet(top,meet(X0,X0)))),
inference(subst,[],[refute_0_6:[bind(X0,$fot(complement(top))),bind(X1,$fot(meet(X0,meet(top,meet(X0,X0)))))]]) ).
cnf(refute_0_300,plain,
( X0 != join(meet(X0,meet(top,meet(X0,X0))),complement(top))
| join(meet(X0,meet(top,meet(X0,X0))),complement(top)) != join(complement(top),meet(X0,meet(top,meet(X0,X0))))
| X0 = join(complement(top),meet(X0,meet(top,meet(X0,X0)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X0,join(complement(top),meet(X0,meet(top,meet(X0,X0))))) ),[0],$fot(join(meet(X0,meet(top,meet(X0,X0))),complement(top)))]]) ).
cnf(refute_0_301,plain,
( X0 != join(meet(X0,meet(top,meet(X0,X0))),complement(top))
| X0 = join(complement(top),meet(X0,meet(top,meet(X0,X0)))) ),
inference(resolve,[$cnf( $equal(join(meet(X0,meet(top,meet(X0,X0))),complement(top)),join(complement(top),meet(X0,meet(top,meet(X0,X0))))) )],[refute_0_299,refute_0_300]) ).
cnf(refute_0_302,plain,
X0 = join(complement(top),meet(X0,meet(top,meet(X0,X0)))),
inference(resolve,[$cnf( $equal(X0,join(meet(X0,meet(top,meet(X0,X0))),complement(top))) )],[refute_0_298,refute_0_301]) ).
cnf(refute_0_303,plain,
join(complement(top),meet(X0,meet(top,meet(X0,X0)))) = join(complement(top),meet(X0,meet(top,meet(X0,X0)))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(X0,meet(top,meet(X0,X0)))))]]) ).
cnf(refute_0_304,plain,
( complement(top) != zero
| join(complement(top),meet(X0,meet(top,meet(X0,X0)))) != join(complement(top),meet(X0,meet(top,meet(X0,X0))))
| join(complement(top),meet(X0,meet(top,meet(X0,X0)))) = join(zero,meet(X0,meet(top,meet(X0,X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(X0,meet(top,meet(X0,X0)))),join(complement(top),meet(X0,meet(top,meet(X0,X0))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_305,plain,
( complement(top) != zero
| join(complement(top),meet(X0,meet(top,meet(X0,X0)))) = join(zero,meet(X0,meet(top,meet(X0,X0)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X0,meet(top,meet(X0,X0)))),join(complement(top),meet(X0,meet(top,meet(X0,X0))))) )],[refute_0_303,refute_0_304]) ).
cnf(refute_0_306,plain,
join(complement(top),meet(X0,meet(top,meet(X0,X0)))) = join(zero,meet(X0,meet(top,meet(X0,X0)))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_165,refute_0_305]) ).
cnf(refute_0_307,plain,
( X0 != join(complement(top),meet(X0,meet(top,meet(X0,X0))))
| join(complement(top),meet(X0,meet(top,meet(X0,X0)))) != join(zero,meet(X0,meet(top,meet(X0,X0))))
| X0 = join(zero,meet(X0,meet(top,meet(X0,X0)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X0,join(zero,meet(X0,meet(top,meet(X0,X0))))) ),[0],$fot(join(complement(top),meet(X0,meet(top,meet(X0,X0)))))]]) ).
cnf(refute_0_308,plain,
( X0 != join(complement(top),meet(X0,meet(top,meet(X0,X0))))
| X0 = join(zero,meet(X0,meet(top,meet(X0,X0)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X0,meet(top,meet(X0,X0)))),join(zero,meet(X0,meet(top,meet(X0,X0))))) )],[refute_0_306,refute_0_307]) ).
cnf(refute_0_309,plain,
X0 = join(zero,meet(X0,meet(top,meet(X0,X0)))),
inference(resolve,[$cnf( $equal(X0,join(complement(top),meet(X0,meet(top,meet(X0,X0))))) )],[refute_0_302,refute_0_308]) ).
cnf(refute_0_310,plain,
( X0 != join(zero,meet(X0,meet(top,meet(X0,X0))))
| join(zero,meet(X0,meet(top,meet(X0,X0)))) = X0 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(X0)),bind(Y,$fot(join(zero,meet(X0,meet(top,meet(X0,X0))))))]]) ).
cnf(refute_0_311,plain,
join(zero,meet(X0,meet(top,meet(X0,X0)))) = X0,
inference(resolve,[$cnf( $equal(X0,join(zero,meet(X0,meet(top,meet(X0,X0))))) )],[refute_0_309,refute_0_310]) ).
cnf(refute_0_312,plain,
join(zero,meet(complement(meet(top,X_52)),meet(top,meet(complement(meet(top,X_52)),complement(meet(top,X_52)))))) = complement(meet(top,X_52)),
inference(subst,[],[refute_0_311:[bind(X0,$fot(complement(meet(top,X_52))))]]) ).
cnf(refute_0_313,plain,
meet(X0,join(zero,complement(X_52))) = complement(join(complement(X0),complement(join(zero,complement(X_52))))),
inference(subst,[],[refute_0_17:[bind(X1,$fot(join(zero,complement(X_52))))]]) ).
cnf(refute_0_314,plain,
( complement(join(zero,complement(X_52))) != meet(top,X_52)
| meet(X0,join(zero,complement(X_52))) != complement(join(complement(X0),complement(join(zero,complement(X_52)))))
| meet(X0,join(zero,complement(X_52))) = complement(join(complement(X0),meet(top,X_52))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X0,join(zero,complement(X_52))),complement(join(complement(X0),complement(join(zero,complement(X_52)))))) ),[1,0,1],$fot(meet(top,X_52))]]) ).
cnf(refute_0_315,plain,
( meet(X0,join(zero,complement(X_52))) != complement(join(complement(X0),complement(join(zero,complement(X_52)))))
| meet(X0,join(zero,complement(X_52))) = complement(join(complement(X0),meet(top,X_52))) ),
inference(resolve,[$cnf( $equal(complement(join(zero,complement(X_52))),meet(top,X_52)) )],[refute_0_180,refute_0_314]) ).
cnf(refute_0_316,plain,
meet(X0,join(zero,complement(X_52))) = complement(join(complement(X0),meet(top,X_52))),
inference(resolve,[$cnf( $equal(meet(X0,join(zero,complement(X_52))),complement(join(complement(X0),complement(join(zero,complement(X_52)))))) )],[refute_0_313,refute_0_315]) ).
cnf(refute_0_317,plain,
meet(X0,join(complement(X_39),complement(X_40))) = complement(join(complement(X0),complement(join(complement(X_39),complement(X_40))))),
inference(subst,[],[refute_0_17:[bind(X1,$fot(join(complement(X_39),complement(X_40))))]]) ).
cnf(refute_0_318,plain,
( complement(join(complement(X_39),complement(X_40))) != meet(X_39,X_40)
| meet(X0,join(complement(X_39),complement(X_40))) != complement(join(complement(X0),complement(join(complement(X_39),complement(X_40)))))
| meet(X0,join(complement(X_39),complement(X_40))) = complement(join(complement(X0),meet(X_39,X_40))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X0,join(complement(X_39),complement(X_40))),complement(join(complement(X0),complement(join(complement(X_39),complement(X_40)))))) ),[1,0,1],$fot(meet(X_39,X_40))]]) ).
cnf(refute_0_319,plain,
( meet(X0,join(complement(X_39),complement(X_40))) != complement(join(complement(X0),complement(join(complement(X_39),complement(X_40)))))
| meet(X0,join(complement(X_39),complement(X_40))) = complement(join(complement(X0),meet(X_39,X_40))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_39),complement(X_40))),meet(X_39,X_40)) )],[refute_0_142,refute_0_318]) ).
cnf(refute_0_320,plain,
meet(X0,join(complement(X_39),complement(X_40))) = complement(join(complement(X0),meet(X_39,X_40))),
inference(resolve,[$cnf( $equal(meet(X0,join(complement(X_39),complement(X_40))),complement(join(complement(X0),complement(join(complement(X_39),complement(X_40)))))) )],[refute_0_317,refute_0_319]) ).
cnf(refute_0_321,plain,
meet(X0,join(complement(X_39),complement(X_40))) = meet(X0,join(complement(X_39),complement(X_40))),
introduced(tautology,[refl,[$fot(meet(X0,join(complement(X_39),complement(X_40))))]]) ).
cnf(refute_0_322,plain,
( join(complement(X_39),complement(X_40)) != complement(meet(X_39,X_40))
| meet(X0,join(complement(X_39),complement(X_40))) != meet(X0,join(complement(X_39),complement(X_40)))
| meet(X0,join(complement(X_39),complement(X_40))) = meet(X0,complement(meet(X_39,X_40))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X0,join(complement(X_39),complement(X_40))),meet(X0,join(complement(X_39),complement(X_40)))) ),[1,1],$fot(complement(meet(X_39,X_40)))]]) ).
cnf(refute_0_323,plain,
( join(complement(X_39),complement(X_40)) != complement(meet(X_39,X_40))
| meet(X0,join(complement(X_39),complement(X_40))) = meet(X0,complement(meet(X_39,X_40))) ),
inference(resolve,[$cnf( $equal(meet(X0,join(complement(X_39),complement(X_40))),meet(X0,join(complement(X_39),complement(X_40)))) )],[refute_0_321,refute_0_322]) ).
cnf(refute_0_324,plain,
meet(X0,join(complement(X_39),complement(X_40))) = meet(X0,complement(meet(X_39,X_40))),
inference(resolve,[$cnf( $equal(join(complement(X_39),complement(X_40)),complement(meet(X_39,X_40))) )],[refute_0_248,refute_0_323]) ).
cnf(refute_0_325,plain,
( meet(X0,join(complement(X_39),complement(X_40))) != complement(join(complement(X0),meet(X_39,X_40)))
| meet(X0,join(complement(X_39),complement(X_40))) != meet(X0,complement(meet(X_39,X_40)))
| meet(X0,complement(meet(X_39,X_40))) = complement(join(complement(X0),meet(X_39,X_40))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X0,join(complement(X_39),complement(X_40))),complement(join(complement(X0),meet(X_39,X_40)))) ),[0],$fot(meet(X0,complement(meet(X_39,X_40))))]]) ).
cnf(refute_0_326,plain,
( meet(X0,join(complement(X_39),complement(X_40))) != complement(join(complement(X0),meet(X_39,X_40)))
| meet(X0,complement(meet(X_39,X_40))) = complement(join(complement(X0),meet(X_39,X_40))) ),
inference(resolve,[$cnf( $equal(meet(X0,join(complement(X_39),complement(X_40))),meet(X0,complement(meet(X_39,X_40)))) )],[refute_0_324,refute_0_325]) ).
cnf(refute_0_327,plain,
meet(X0,complement(meet(X_39,X_40))) = complement(join(complement(X0),meet(X_39,X_40))),
inference(resolve,[$cnf( $equal(meet(X0,join(complement(X_39),complement(X_40))),complement(join(complement(X0),meet(X_39,X_40)))) )],[refute_0_320,refute_0_326]) ).
cnf(refute_0_328,plain,
( meet(X0,complement(meet(X_39,X_40))) != complement(join(complement(X0),meet(X_39,X_40)))
| complement(join(complement(X0),meet(X_39,X_40))) = meet(X0,complement(meet(X_39,X_40))) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(meet(X0,complement(meet(X_39,X_40))))),bind(Y,$fot(complement(join(complement(X0),meet(X_39,X_40)))))]]) ).
cnf(refute_0_329,plain,
complement(join(complement(X0),meet(X_39,X_40))) = meet(X0,complement(meet(X_39,X_40))),
inference(resolve,[$cnf( $equal(meet(X0,complement(meet(X_39,X_40))),complement(join(complement(X0),meet(X_39,X_40)))) )],[refute_0_327,refute_0_328]) ).
cnf(refute_0_330,plain,
complement(join(complement(X0),meet(top,X_52))) = meet(X0,complement(meet(top,X_52))),
inference(subst,[],[refute_0_329:[bind(X_39,$fot(top)),bind(X_40,$fot(X_52))]]) ).
cnf(refute_0_331,plain,
( complement(join(complement(X0),meet(top,X_52))) != meet(X0,complement(meet(top,X_52)))
| meet(X0,join(zero,complement(X_52))) != complement(join(complement(X0),meet(top,X_52)))
| meet(X0,join(zero,complement(X_52))) = meet(X0,complement(meet(top,X_52))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X0,join(zero,complement(X_52))),complement(join(complement(X0),meet(top,X_52)))) ),[1],$fot(meet(X0,complement(meet(top,X_52))))]]) ).
cnf(refute_0_332,plain,
( meet(X0,join(zero,complement(X_52))) != complement(join(complement(X0),meet(top,X_52)))
| meet(X0,join(zero,complement(X_52))) = meet(X0,complement(meet(top,X_52))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X0),meet(top,X_52))),meet(X0,complement(meet(top,X_52)))) )],[refute_0_330,refute_0_331]) ).
cnf(refute_0_333,plain,
meet(X0,join(zero,complement(X_52))) = meet(X0,complement(meet(top,X_52))),
inference(resolve,[$cnf( $equal(meet(X0,join(zero,complement(X_52))),complement(join(complement(X0),meet(top,X_52)))) )],[refute_0_316,refute_0_332]) ).
cnf(refute_0_334,plain,
meet(complement(meet(top,X_52)),join(zero,complement(X_52))) = meet(complement(meet(top,X_52)),complement(meet(top,X_52))),
inference(subst,[],[refute_0_333:[bind(X0,$fot(complement(meet(top,X_52))))]]) ).
cnf(refute_0_335,plain,
meet(top,meet(complement(meet(top,X_52)),join(zero,complement(X_52)))) = meet(top,meet(complement(meet(top,X_52)),join(zero,complement(X_52)))),
introduced(tautology,[refl,[$fot(meet(top,meet(complement(meet(top,X_52)),join(zero,complement(X_52)))))]]) ).
cnf(refute_0_336,plain,
( meet(complement(meet(top,X_52)),join(zero,complement(X_52))) != meet(complement(meet(top,X_52)),complement(meet(top,X_52)))
| meet(top,meet(complement(meet(top,X_52)),join(zero,complement(X_52)))) != meet(top,meet(complement(meet(top,X_52)),join(zero,complement(X_52))))
| meet(top,meet(complement(meet(top,X_52)),join(zero,complement(X_52)))) = meet(top,meet(complement(meet(top,X_52)),complement(meet(top,X_52)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,meet(complement(meet(top,X_52)),join(zero,complement(X_52)))),meet(top,meet(complement(meet(top,X_52)),join(zero,complement(X_52))))) ),[1,1],$fot(meet(complement(meet(top,X_52)),complement(meet(top,X_52))))]]) ).
cnf(refute_0_337,plain,
( meet(complement(meet(top,X_52)),join(zero,complement(X_52))) != meet(complement(meet(top,X_52)),complement(meet(top,X_52)))
| meet(top,meet(complement(meet(top,X_52)),join(zero,complement(X_52)))) = meet(top,meet(complement(meet(top,X_52)),complement(meet(top,X_52)))) ),
inference(resolve,[$cnf( $equal(meet(top,meet(complement(meet(top,X_52)),join(zero,complement(X_52)))),meet(top,meet(complement(meet(top,X_52)),join(zero,complement(X_52))))) )],[refute_0_335,refute_0_336]) ).
cnf(refute_0_338,plain,
meet(top,meet(complement(meet(top,X_52)),join(zero,complement(X_52)))) = meet(top,meet(complement(meet(top,X_52)),complement(meet(top,X_52)))),
inference(resolve,[$cnf( $equal(meet(complement(meet(top,X_52)),join(zero,complement(X_52))),meet(complement(meet(top,X_52)),complement(meet(top,X_52)))) )],[refute_0_334,refute_0_337]) ).
cnf(refute_0_339,plain,
meet(complement(meet(top,X_52)),meet(top,meet(complement(meet(top,X_52)),join(zero,complement(X_52))))) = meet(complement(meet(top,X_52)),meet(top,meet(complement(meet(top,X_52)),join(zero,complement(X_52))))),
introduced(tautology,[refl,[$fot(meet(complement(meet(top,X_52)),meet(top,meet(complement(meet(top,X_52)),join(zero,complement(X_52))))))]]) ).
cnf(refute_0_340,plain,
( meet(complement(meet(top,X_52)),meet(top,meet(complement(meet(top,X_52)),join(zero,complement(X_52))))) != meet(complement(meet(top,X_52)),meet(top,meet(complement(meet(top,X_52)),join(zero,complement(X_52)))))
| meet(top,meet(complement(meet(top,X_52)),join(zero,complement(X_52)))) != meet(top,meet(complement(meet(top,X_52)),complement(meet(top,X_52))))
| meet(complement(meet(top,X_52)),meet(top,meet(complement(meet(top,X_52)),join(zero,complement(X_52))))) = meet(complement(meet(top,X_52)),meet(top,meet(complement(meet(top,X_52)),complement(meet(top,X_52))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(meet(top,X_52)),meet(top,meet(complement(meet(top,X_52)),join(zero,complement(X_52))))),meet(complement(meet(top,X_52)),meet(top,meet(complement(meet(top,X_52)),join(zero,complement(X_52)))))) ),[1,1],$fot(meet(top,meet(complement(meet(top,X_52)),complement(meet(top,X_52)))))]]) ).
cnf(refute_0_341,plain,
( meet(top,meet(complement(meet(top,X_52)),join(zero,complement(X_52)))) != meet(top,meet(complement(meet(top,X_52)),complement(meet(top,X_52))))
| meet(complement(meet(top,X_52)),meet(top,meet(complement(meet(top,X_52)),join(zero,complement(X_52))))) = meet(complement(meet(top,X_52)),meet(top,meet(complement(meet(top,X_52)),complement(meet(top,X_52))))) ),
inference(resolve,[$cnf( $equal(meet(complement(meet(top,X_52)),meet(top,meet(complement(meet(top,X_52)),join(zero,complement(X_52))))),meet(complement(meet(top,X_52)),meet(top,meet(complement(meet(top,X_52)),join(zero,complement(X_52)))))) )],[refute_0_339,refute_0_340]) ).
cnf(refute_0_342,plain,
meet(complement(meet(top,X_52)),meet(top,meet(complement(meet(top,X_52)),join(zero,complement(X_52))))) = meet(complement(meet(top,X_52)),meet(top,meet(complement(meet(top,X_52)),complement(meet(top,X_52))))),
inference(resolve,[$cnf( $equal(meet(top,meet(complement(meet(top,X_52)),join(zero,complement(X_52)))),meet(top,meet(complement(meet(top,X_52)),complement(meet(top,X_52))))) )],[refute_0_338,refute_0_341]) ).
cnf(refute_0_343,plain,
join(zero,meet(complement(meet(top,X_52)),meet(top,meet(complement(meet(top,X_52)),join(zero,complement(X_52)))))) = join(zero,meet(complement(meet(top,X_52)),meet(top,meet(complement(meet(top,X_52)),join(zero,complement(X_52)))))),
introduced(tautology,[refl,[$fot(join(zero,meet(complement(meet(top,X_52)),meet(top,meet(complement(meet(top,X_52)),join(zero,complement(X_52)))))))]]) ).
cnf(refute_0_344,plain,
( join(zero,meet(complement(meet(top,X_52)),meet(top,meet(complement(meet(top,X_52)),join(zero,complement(X_52)))))) != join(zero,meet(complement(meet(top,X_52)),meet(top,meet(complement(meet(top,X_52)),join(zero,complement(X_52))))))
| meet(complement(meet(top,X_52)),meet(top,meet(complement(meet(top,X_52)),join(zero,complement(X_52))))) != meet(complement(meet(top,X_52)),meet(top,meet(complement(meet(top,X_52)),complement(meet(top,X_52)))))
| join(zero,meet(complement(meet(top,X_52)),meet(top,meet(complement(meet(top,X_52)),join(zero,complement(X_52)))))) = join(zero,meet(complement(meet(top,X_52)),meet(top,meet(complement(meet(top,X_52)),complement(meet(top,X_52)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(complement(meet(top,X_52)),meet(top,meet(complement(meet(top,X_52)),join(zero,complement(X_52)))))),join(zero,meet(complement(meet(top,X_52)),meet(top,meet(complement(meet(top,X_52)),join(zero,complement(X_52))))))) ),[1,1],$fot(meet(complement(meet(top,X_52)),meet(top,meet(complement(meet(top,X_52)),complement(meet(top,X_52))))))]]) ).
cnf(refute_0_345,plain,
( meet(complement(meet(top,X_52)),meet(top,meet(complement(meet(top,X_52)),join(zero,complement(X_52))))) != meet(complement(meet(top,X_52)),meet(top,meet(complement(meet(top,X_52)),complement(meet(top,X_52)))))
| join(zero,meet(complement(meet(top,X_52)),meet(top,meet(complement(meet(top,X_52)),join(zero,complement(X_52)))))) = join(zero,meet(complement(meet(top,X_52)),meet(top,meet(complement(meet(top,X_52)),complement(meet(top,X_52)))))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(meet(top,X_52)),meet(top,meet(complement(meet(top,X_52)),join(zero,complement(X_52)))))),join(zero,meet(complement(meet(top,X_52)),meet(top,meet(complement(meet(top,X_52)),join(zero,complement(X_52))))))) )],[refute_0_343,refute_0_344]) ).
cnf(refute_0_346,plain,
join(zero,meet(complement(meet(top,X_52)),meet(top,meet(complement(meet(top,X_52)),join(zero,complement(X_52)))))) = join(zero,meet(complement(meet(top,X_52)),meet(top,meet(complement(meet(top,X_52)),complement(meet(top,X_52)))))),
inference(resolve,[$cnf( $equal(meet(complement(meet(top,X_52)),meet(top,meet(complement(meet(top,X_52)),join(zero,complement(X_52))))),meet(complement(meet(top,X_52)),meet(top,meet(complement(meet(top,X_52)),complement(meet(top,X_52)))))) )],[refute_0_342,refute_0_345]) ).
cnf(refute_0_347,plain,
( join(zero,meet(complement(meet(top,X_52)),meet(top,meet(complement(meet(top,X_52)),complement(meet(top,X_52)))))) != complement(meet(top,X_52))
| join(zero,meet(complement(meet(top,X_52)),meet(top,meet(complement(meet(top,X_52)),join(zero,complement(X_52)))))) != join(zero,meet(complement(meet(top,X_52)),meet(top,meet(complement(meet(top,X_52)),complement(meet(top,X_52))))))
| join(zero,meet(complement(meet(top,X_52)),meet(top,meet(complement(meet(top,X_52)),join(zero,complement(X_52)))))) = complement(meet(top,X_52)) ),
inference(subst,[],[refute_0_25:[bind(X,$fot(join(zero,meet(complement(meet(top,X_52)),meet(top,meet(complement(meet(top,X_52)),join(zero,complement(X_52)))))))),bind(Y,$fot(join(zero,meet(complement(meet(top,X_52)),meet(top,meet(complement(meet(top,X_52)),complement(meet(top,X_52)))))))),bind(Z,$fot(complement(meet(top,X_52))))]]) ).
cnf(refute_0_348,plain,
( join(zero,meet(complement(meet(top,X_52)),meet(top,meet(complement(meet(top,X_52)),complement(meet(top,X_52)))))) != complement(meet(top,X_52))
| join(zero,meet(complement(meet(top,X_52)),meet(top,meet(complement(meet(top,X_52)),join(zero,complement(X_52)))))) = complement(meet(top,X_52)) ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(meet(top,X_52)),meet(top,meet(complement(meet(top,X_52)),join(zero,complement(X_52)))))),join(zero,meet(complement(meet(top,X_52)),meet(top,meet(complement(meet(top,X_52)),complement(meet(top,X_52))))))) )],[refute_0_346,refute_0_347]) ).
cnf(refute_0_349,plain,
join(zero,meet(complement(meet(top,X_52)),meet(top,meet(complement(meet(top,X_52)),join(zero,complement(X_52)))))) = complement(meet(top,X_52)),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(meet(top,X_52)),meet(top,meet(complement(meet(top,X_52)),complement(meet(top,X_52)))))),complement(meet(top,X_52))) )],[refute_0_312,refute_0_348]) ).
cnf(refute_0_350,plain,
( join(zero,complement(X_52)) != join(zero,meet(complement(meet(top,X_52)),meet(top,meet(complement(meet(top,X_52)),join(zero,complement(X_52))))))
| join(zero,meet(complement(meet(top,X_52)),meet(top,meet(complement(meet(top,X_52)),join(zero,complement(X_52)))))) != complement(meet(top,X_52))
| join(zero,complement(X_52)) = complement(meet(top,X_52)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(zero,complement(X_52)),complement(meet(top,X_52))) ),[0],$fot(join(zero,meet(complement(meet(top,X_52)),meet(top,meet(complement(meet(top,X_52)),join(zero,complement(X_52)))))))]]) ).
cnf(refute_0_351,plain,
( join(zero,complement(X_52)) != join(zero,meet(complement(meet(top,X_52)),meet(top,meet(complement(meet(top,X_52)),join(zero,complement(X_52))))))
| join(zero,complement(X_52)) = complement(meet(top,X_52)) ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(meet(top,X_52)),meet(top,meet(complement(meet(top,X_52)),join(zero,complement(X_52)))))),complement(meet(top,X_52))) )],[refute_0_349,refute_0_350]) ).
cnf(refute_0_352,plain,
join(zero,complement(X_52)) = complement(meet(top,X_52)),
inference(resolve,[$cnf( $equal(join(zero,complement(X_52)),join(zero,meet(complement(meet(top,X_52)),meet(top,meet(complement(meet(top,X_52)),join(zero,complement(X_52))))))) )],[refute_0_269,refute_0_351]) ).
cnf(refute_0_353,plain,
join(zero,complement(composition(join(one,one),complement(X0)))) = complement(meet(top,composition(join(one,one),complement(X0)))),
inference(subst,[],[refute_0_352:[bind(X_52,$fot(composition(join(one,one),complement(X0))))]]) ).
cnf(refute_0_354,plain,
( zero != meet(X0,complement(X0))
| meet(X0,complement(X0)) = zero ),
inference(subst,[],[refute_0_4:[bind(X,$fot(zero)),bind(Y,$fot(meet(X0,complement(X0))))]]) ).
cnf(refute_0_355,plain,
meet(X0,complement(X0)) = zero,
inference(resolve,[$cnf( $equal(zero,meet(X0,complement(X0))) )],[refute_0_139,refute_0_354]) ).
cnf(refute_0_356,plain,
meet(complement(X0),X0) = meet(X0,complement(X0)),
inference(subst,[],[refute_0_185:[bind(X_39,$fot(X0)),bind(X_40,$fot(complement(X0)))]]) ).
cnf(refute_0_357,plain,
( meet(X0,complement(X0)) != zero
| meet(complement(X0),X0) != meet(X0,complement(X0))
| meet(complement(X0),X0) = zero ),
inference(subst,[],[refute_0_25:[bind(X,$fot(meet(complement(X0),X0))),bind(Y,$fot(meet(X0,complement(X0)))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_358,plain,
( meet(X0,complement(X0)) != zero
| meet(complement(X0),X0) = zero ),
inference(resolve,[$cnf( $equal(meet(complement(X0),X0),meet(X0,complement(X0))) )],[refute_0_356,refute_0_357]) ).
cnf(refute_0_359,plain,
meet(complement(X0),X0) = zero,
inference(resolve,[$cnf( $equal(meet(X0,complement(X0)),zero) )],[refute_0_355,refute_0_358]) ).
cnf(refute_0_360,plain,
join(meet(complement(X0),X0),complement(composition(join(one,one),complement(X0)))) = join(meet(complement(X0),X0),complement(composition(join(one,one),complement(X0)))),
introduced(tautology,[refl,[$fot(join(meet(complement(X0),X0),complement(composition(join(one,one),complement(X0)))))]]) ).
cnf(refute_0_361,plain,
( join(meet(complement(X0),X0),complement(composition(join(one,one),complement(X0)))) != join(meet(complement(X0),X0),complement(composition(join(one,one),complement(X0))))
| meet(complement(X0),X0) != zero
| join(meet(complement(X0),X0),complement(composition(join(one,one),complement(X0)))) = join(zero,complement(composition(join(one,one),complement(X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(complement(X0),X0),complement(composition(join(one,one),complement(X0)))),join(meet(complement(X0),X0),complement(composition(join(one,one),complement(X0))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_362,plain,
( meet(complement(X0),X0) != zero
| join(meet(complement(X0),X0),complement(composition(join(one,one),complement(X0)))) = join(zero,complement(composition(join(one,one),complement(X0)))) ),
inference(resolve,[$cnf( $equal(join(meet(complement(X0),X0),complement(composition(join(one,one),complement(X0)))),join(meet(complement(X0),X0),complement(composition(join(one,one),complement(X0))))) )],[refute_0_360,refute_0_361]) ).
cnf(refute_0_363,plain,
join(meet(complement(X0),X0),complement(composition(join(one,one),complement(X0)))) = join(zero,complement(composition(join(one,one),complement(X0)))),
inference(resolve,[$cnf( $equal(meet(complement(X0),X0),zero) )],[refute_0_359,refute_0_362]) ).
cnf(refute_0_364,plain,
( join(meet(complement(X0),X0),complement(composition(join(one,one),complement(X0)))) != join(zero,complement(composition(join(one,one),complement(X0))))
| join(zero,complement(composition(join(one,one),complement(X0)))) != complement(meet(top,composition(join(one,one),complement(X0))))
| join(meet(complement(X0),X0),complement(composition(join(one,one),complement(X0)))) = complement(meet(top,composition(join(one,one),complement(X0)))) ),
inference(subst,[],[refute_0_25:[bind(X,$fot(join(meet(complement(X0),X0),complement(composition(join(one,one),complement(X0)))))),bind(Y,$fot(join(zero,complement(composition(join(one,one),complement(X0)))))),bind(Z,$fot(complement(meet(top,composition(join(one,one),complement(X0))))))]]) ).
cnf(refute_0_365,plain,
( join(zero,complement(composition(join(one,one),complement(X0)))) != complement(meet(top,composition(join(one,one),complement(X0))))
| join(meet(complement(X0),X0),complement(composition(join(one,one),complement(X0)))) = complement(meet(top,composition(join(one,one),complement(X0)))) ),
inference(resolve,[$cnf( $equal(join(meet(complement(X0),X0),complement(composition(join(one,one),complement(X0)))),join(zero,complement(composition(join(one,one),complement(X0))))) )],[refute_0_363,refute_0_364]) ).
cnf(refute_0_366,plain,
join(meet(complement(X0),X0),complement(composition(join(one,one),complement(X0)))) = complement(meet(top,composition(join(one,one),complement(X0)))),
inference(resolve,[$cnf( $equal(join(zero,complement(composition(join(one,one),complement(X0)))),complement(meet(top,composition(join(one,one),complement(X0))))) )],[refute_0_353,refute_0_365]) ).
cnf(refute_0_367,plain,
( X0 != join(meet(complement(X0),X0),complement(composition(join(one,one),complement(X0))))
| join(meet(complement(X0),X0),complement(composition(join(one,one),complement(X0)))) != complement(meet(top,composition(join(one,one),complement(X0))))
| X0 = complement(meet(top,composition(join(one,one),complement(X0)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X0,complement(meet(top,composition(join(one,one),complement(X0))))) ),[0],$fot(join(meet(complement(X0),X0),complement(composition(join(one,one),complement(X0)))))]]) ).
cnf(refute_0_368,plain,
( X0 != join(meet(complement(X0),X0),complement(composition(join(one,one),complement(X0))))
| X0 = complement(meet(top,composition(join(one,one),complement(X0)))) ),
inference(resolve,[$cnf( $equal(join(meet(complement(X0),X0),complement(composition(join(one,one),complement(X0)))),complement(meet(top,composition(join(one,one),complement(X0))))) )],[refute_0_366,refute_0_367]) ).
cnf(refute_0_369,plain,
X0 = complement(meet(top,composition(join(one,one),complement(X0)))),
inference(resolve,[$cnf( $equal(X0,join(meet(complement(X0),X0),complement(composition(join(one,one),complement(X0))))) )],[refute_0_104,refute_0_368]) ).
cnf(refute_0_370,plain,
join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
inference(canonicalize,[],[normalize_0_21]) ).
cnf(refute_0_371,plain,
join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))),
inference(subst,[],[refute_0_6:[bind(X0,$fot(complement(X1))),bind(X1,$fot(composition(converse(X0),complement(composition(X0,X1)))))]]) ).
cnf(refute_0_372,plain,
( join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) != complement(X1)
| join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) != join(complement(X1),composition(converse(X0),complement(composition(X0,X1))))
| join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))) = complement(X1) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),complement(X1)) ),[0],$fot(join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))))]]) ).
cnf(refute_0_373,plain,
( join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) != complement(X1)
| join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))) = complement(X1) ),
inference(resolve,[$cnf( $equal(join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),join(complement(X1),composition(converse(X0),complement(composition(X0,X1))))) )],[refute_0_371,refute_0_372]) ).
cnf(refute_0_374,plain,
join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))) = complement(X1),
inference(resolve,[$cnf( $equal(join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),complement(X1)) )],[refute_0_370,refute_0_373]) ).
cnf(refute_0_375,plain,
join(complement(X_82),composition(converse(one),complement(composition(one,X_82)))) = complement(X_82),
inference(subst,[],[refute_0_374:[bind(X0,$fot(one)),bind(X1,$fot(X_82))]]) ).
cnf(refute_0_376,plain,
X_82 = composition(one,X_82),
inference(subst,[],[refute_0_81:[bind(X_6,$fot(X_82))]]) ).
cnf(refute_0_377,plain,
( X_82 != composition(one,X_82)
| composition(one,X_82) = X_82 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(X_82)),bind(Y,$fot(composition(one,X_82)))]]) ).
cnf(refute_0_378,plain,
composition(one,X_82) = X_82,
inference(resolve,[$cnf( $equal(X_82,composition(one,X_82)) )],[refute_0_376,refute_0_377]) ).
cnf(refute_0_379,plain,
( composition(one,X_82) != X_82
| join(complement(X_82),composition(converse(one),complement(composition(one,X_82)))) != complement(X_82)
| join(complement(X_82),composition(converse(one),complement(X_82))) = complement(X_82) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_82),composition(converse(one),complement(composition(one,X_82)))),complement(X_82)) ),[0,1,1,0],$fot(X_82)]]) ).
cnf(refute_0_380,plain,
( join(complement(X_82),composition(converse(one),complement(composition(one,X_82)))) != complement(X_82)
| join(complement(X_82),composition(converse(one),complement(X_82))) = complement(X_82) ),
inference(resolve,[$cnf( $equal(composition(one,X_82),X_82) )],[refute_0_378,refute_0_379]) ).
cnf(refute_0_381,plain,
join(complement(X_82),composition(converse(one),complement(X_82))) = complement(X_82),
inference(resolve,[$cnf( $equal(join(complement(X_82),composition(converse(one),complement(composition(one,X_82)))),complement(X_82)) )],[refute_0_375,refute_0_380]) ).
cnf(refute_0_382,plain,
converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(canonicalize,[],[normalize_0_23]) ).
cnf(refute_0_383,plain,
converse(join(X_20,one)) = join(converse(X_20),converse(one)),
inference(subst,[],[refute_0_382:[bind(X0,$fot(X_20)),bind(X1,$fot(one))]]) ).
cnf(refute_0_384,plain,
( converse(join(X_20,one)) != join(converse(X_20),converse(one))
| converse(one) != one
| converse(join(X_20,one)) = join(converse(X_20),one) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X_20,one)),join(converse(X_20),converse(one))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_385,plain,
( converse(join(X_20,one)) != join(converse(X_20),converse(one))
| converse(join(X_20,one)) = join(converse(X_20),one) ),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_74,refute_0_384]) ).
cnf(refute_0_386,plain,
converse(join(X_20,one)) = join(converse(X_20),one),
inference(resolve,[$cnf( $equal(converse(join(X_20,one)),join(converse(X_20),converse(one))) )],[refute_0_383,refute_0_385]) ).
cnf(refute_0_387,plain,
join(converse(X_20),one) = join(one,converse(X_20)),
inference(subst,[],[refute_0_6:[bind(X0,$fot(one)),bind(X1,$fot(converse(X_20)))]]) ).
cnf(refute_0_388,plain,
( converse(join(X_20,one)) != join(converse(X_20),one)
| join(converse(X_20),one) != join(one,converse(X_20))
| converse(join(X_20,one)) = join(one,converse(X_20)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(join(X_20,one)),join(one,converse(X_20))) ),[0],$fot(join(converse(X_20),one))]]) ).
cnf(refute_0_389,plain,
( converse(join(X_20,one)) != join(converse(X_20),one)
| converse(join(X_20,one)) = join(one,converse(X_20)) ),
inference(resolve,[$cnf( $equal(join(converse(X_20),one),join(one,converse(X_20))) )],[refute_0_387,refute_0_388]) ).
cnf(refute_0_390,plain,
converse(join(X_20,one)) = join(one,converse(X_20)),
inference(resolve,[$cnf( $equal(converse(join(X_20,one)),join(converse(X_20),one)) )],[refute_0_386,refute_0_389]) ).
cnf(refute_0_391,plain,
converse(join(one,one)) = join(one,converse(one)),
inference(subst,[],[refute_0_390:[bind(X_20,$fot(one))]]) ).
cnf(refute_0_392,plain,
( converse(join(one,one)) != join(one,converse(one))
| converse(one) != one
| converse(join(one,one)) = join(one,one) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,one)),join(one,converse(one))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_393,plain,
( converse(join(one,one)) != join(one,converse(one))
| converse(join(one,one)) = join(one,one) ),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_74,refute_0_392]) ).
cnf(refute_0_394,plain,
converse(join(one,one)) = join(one,one),
inference(resolve,[$cnf( $equal(converse(join(one,one)),join(one,converse(one))) )],[refute_0_391,refute_0_393]) ).
cnf(refute_0_395,plain,
( converse(join(X_20,one)) != join(one,converse(X_20))
| join(one,converse(X_20)) = converse(join(X_20,one)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(converse(join(X_20,one)))),bind(Y,$fot(join(one,converse(X_20))))]]) ).
cnf(refute_0_396,plain,
join(one,converse(X_20)) = converse(join(X_20,one)),
inference(resolve,[$cnf( $equal(converse(join(X_20,one)),join(one,converse(X_20))) )],[refute_0_390,refute_0_395]) ).
cnf(refute_0_397,plain,
join(one,converse(one)) = converse(join(one,one)),
inference(subst,[],[refute_0_396:[bind(X_20,$fot(one))]]) ).
cnf(refute_0_398,plain,
( converse(join(one,one)) != join(one,one)
| join(one,converse(one)) != converse(join(one,one))
| join(one,converse(one)) = join(one,one) ),
inference(subst,[],[refute_0_25:[bind(X,$fot(join(one,converse(one)))),bind(Y,$fot(converse(join(one,one)))),bind(Z,$fot(join(one,one)))]]) ).
cnf(refute_0_399,plain,
( converse(join(one,one)) != join(one,one)
| join(one,converse(one)) = join(one,one) ),
inference(resolve,[$cnf( $equal(join(one,converse(one)),converse(join(one,one))) )],[refute_0_397,refute_0_398]) ).
cnf(refute_0_400,plain,
join(one,converse(one)) = join(one,one),
inference(resolve,[$cnf( $equal(converse(join(one,one)),join(one,one)) )],[refute_0_394,refute_0_399]) ).
cnf(refute_0_401,plain,
composition(join(one,converse(one)),complement(X_82)) = composition(join(one,converse(one)),complement(X_82)),
introduced(tautology,[refl,[$fot(composition(join(one,converse(one)),complement(X_82)))]]) ).
cnf(refute_0_402,plain,
( composition(join(one,converse(one)),complement(X_82)) != composition(join(one,converse(one)),complement(X_82))
| join(one,converse(one)) != join(one,one)
| composition(join(one,converse(one)),complement(X_82)) = composition(join(one,one),complement(X_82)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,converse(one)),complement(X_82)),composition(join(one,converse(one)),complement(X_82))) ),[1,0],$fot(join(one,one))]]) ).
cnf(refute_0_403,plain,
( join(one,converse(one)) != join(one,one)
| composition(join(one,converse(one)),complement(X_82)) = composition(join(one,one),complement(X_82)) ),
inference(resolve,[$cnf( $equal(composition(join(one,converse(one)),complement(X_82)),composition(join(one,converse(one)),complement(X_82))) )],[refute_0_401,refute_0_402]) ).
cnf(refute_0_404,plain,
composition(join(one,converse(one)),complement(X_82)) = composition(join(one,one),complement(X_82)),
inference(resolve,[$cnf( $equal(join(one,converse(one)),join(one,one)) )],[refute_0_400,refute_0_403]) ).
cnf(refute_0_405,plain,
composition(join(X_77,one),X_78) = join(X_78,composition(X_77,X_78)),
inference(subst,[],[refute_0_91:[bind(X_74,$fot(X_77)),bind(X_76,$fot(X_78))]]) ).
cnf(refute_0_406,plain,
join(one,X_77) = join(X_77,one),
inference(subst,[],[refute_0_1:[bind(X0,$fot(one)),bind(X1,$fot(X_77))]]) ).
cnf(refute_0_407,plain,
( join(one,X_77) != join(X_77,one)
| join(X_77,one) = join(one,X_77) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(one,X_77))),bind(Y,$fot(join(X_77,one)))]]) ).
cnf(refute_0_408,plain,
join(X_77,one) = join(one,X_77),
inference(resolve,[$cnf( $equal(join(one,X_77),join(X_77,one)) )],[refute_0_406,refute_0_407]) ).
cnf(refute_0_409,plain,
( composition(join(X_77,one),X_78) != join(X_78,composition(X_77,X_78))
| join(X_77,one) != join(one,X_77)
| composition(join(one,X_77),X_78) = join(X_78,composition(X_77,X_78)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X_77,one),X_78),join(X_78,composition(X_77,X_78))) ),[0,0],$fot(join(one,X_77))]]) ).
cnf(refute_0_410,plain,
( composition(join(X_77,one),X_78) != join(X_78,composition(X_77,X_78))
| composition(join(one,X_77),X_78) = join(X_78,composition(X_77,X_78)) ),
inference(resolve,[$cnf( $equal(join(X_77,one),join(one,X_77)) )],[refute_0_408,refute_0_409]) ).
cnf(refute_0_411,plain,
composition(join(one,X_77),X_78) = join(X_78,composition(X_77,X_78)),
inference(resolve,[$cnf( $equal(composition(join(X_77,one),X_78),join(X_78,composition(X_77,X_78))) )],[refute_0_405,refute_0_410]) ).
cnf(refute_0_412,plain,
( composition(join(X_74,one),X_76) != join(X_76,composition(X_74,X_76))
| join(X_76,composition(X_74,X_76)) = composition(join(X_74,one),X_76) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(composition(join(X_74,one),X_76))),bind(Y,$fot(join(X_76,composition(X_74,X_76))))]]) ).
cnf(refute_0_413,plain,
join(X_76,composition(X_74,X_76)) = composition(join(X_74,one),X_76),
inference(resolve,[$cnf( $equal(composition(join(X_74,one),X_76),join(X_76,composition(X_74,X_76))) )],[refute_0_91,refute_0_412]) ).
cnf(refute_0_414,plain,
join(X_78,composition(X_77,X_78)) = composition(join(X_77,one),X_78),
inference(subst,[],[refute_0_413:[bind(X_74,$fot(X_77)),bind(X_76,$fot(X_78))]]) ).
cnf(refute_0_415,plain,
( composition(join(one,X_77),X_78) != join(X_78,composition(X_77,X_78))
| join(X_78,composition(X_77,X_78)) != composition(join(X_77,one),X_78)
| composition(join(one,X_77),X_78) = composition(join(X_77,one),X_78) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(one,X_77),X_78),composition(join(X_77,one),X_78)) ),[0],$fot(join(X_78,composition(X_77,X_78)))]]) ).
cnf(refute_0_416,plain,
( composition(join(one,X_77),X_78) != join(X_78,composition(X_77,X_78))
| composition(join(one,X_77),X_78) = composition(join(X_77,one),X_78) ),
inference(resolve,[$cnf( $equal(join(X_78,composition(X_77,X_78)),composition(join(X_77,one),X_78)) )],[refute_0_414,refute_0_415]) ).
cnf(refute_0_417,plain,
composition(join(one,X_77),X_78) = composition(join(X_77,one),X_78),
inference(resolve,[$cnf( $equal(composition(join(one,X_77),X_78),join(X_78,composition(X_77,X_78))) )],[refute_0_411,refute_0_416]) ).
cnf(refute_0_418,plain,
( composition(join(one,X_77),X_78) != composition(join(X_77,one),X_78)
| composition(join(X_77,one),X_78) = composition(join(one,X_77),X_78) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(composition(join(one,X_77),X_78))),bind(Y,$fot(composition(join(X_77,one),X_78)))]]) ).
cnf(refute_0_419,plain,
composition(join(X_77,one),X_78) = composition(join(one,X_77),X_78),
inference(resolve,[$cnf( $equal(composition(join(one,X_77),X_78),composition(join(X_77,one),X_78)) )],[refute_0_417,refute_0_418]) ).
cnf(refute_0_420,plain,
composition(join(converse(one),one),complement(X_82)) = composition(join(one,converse(one)),complement(X_82)),
inference(subst,[],[refute_0_419:[bind(X_77,$fot(converse(one))),bind(X_78,$fot(complement(X_82)))]]) ).
cnf(refute_0_421,plain,
join(complement(X_82),composition(converse(one),complement(X_82))) = composition(join(converse(one),one),complement(X_82)),
inference(subst,[],[refute_0_413:[bind(X_74,$fot(converse(one))),bind(X_76,$fot(complement(X_82)))]]) ).
cnf(refute_0_422,plain,
( composition(join(converse(one),one),complement(X_82)) != composition(join(one,converse(one)),complement(X_82))
| join(complement(X_82),composition(converse(one),complement(X_82))) != composition(join(converse(one),one),complement(X_82))
| join(complement(X_82),composition(converse(one),complement(X_82))) = composition(join(one,converse(one)),complement(X_82)) ),
inference(subst,[],[refute_0_25:[bind(X,$fot(join(complement(X_82),composition(converse(one),complement(X_82))))),bind(Y,$fot(composition(join(converse(one),one),complement(X_82)))),bind(Z,$fot(composition(join(one,converse(one)),complement(X_82))))]]) ).
cnf(refute_0_423,plain,
( composition(join(converse(one),one),complement(X_82)) != composition(join(one,converse(one)),complement(X_82))
| join(complement(X_82),composition(converse(one),complement(X_82))) = composition(join(one,converse(one)),complement(X_82)) ),
inference(resolve,[$cnf( $equal(join(complement(X_82),composition(converse(one),complement(X_82))),composition(join(converse(one),one),complement(X_82))) )],[refute_0_421,refute_0_422]) ).
cnf(refute_0_424,plain,
join(complement(X_82),composition(converse(one),complement(X_82))) = composition(join(one,converse(one)),complement(X_82)),
inference(resolve,[$cnf( $equal(composition(join(converse(one),one),complement(X_82)),composition(join(one,converse(one)),complement(X_82))) )],[refute_0_420,refute_0_423]) ).
cnf(refute_0_425,plain,
( composition(join(one,converse(one)),complement(X_82)) != composition(join(one,one),complement(X_82))
| join(complement(X_82),composition(converse(one),complement(X_82))) != composition(join(one,converse(one)),complement(X_82))
| join(complement(X_82),composition(converse(one),complement(X_82))) = composition(join(one,one),complement(X_82)) ),
inference(subst,[],[refute_0_25:[bind(X,$fot(join(complement(X_82),composition(converse(one),complement(X_82))))),bind(Y,$fot(composition(join(one,converse(one)),complement(X_82)))),bind(Z,$fot(composition(join(one,one),complement(X_82))))]]) ).
cnf(refute_0_426,plain,
( composition(join(one,converse(one)),complement(X_82)) != composition(join(one,one),complement(X_82))
| join(complement(X_82),composition(converse(one),complement(X_82))) = composition(join(one,one),complement(X_82)) ),
inference(resolve,[$cnf( $equal(join(complement(X_82),composition(converse(one),complement(X_82))),composition(join(one,converse(one)),complement(X_82))) )],[refute_0_424,refute_0_425]) ).
cnf(refute_0_427,plain,
join(complement(X_82),composition(converse(one),complement(X_82))) = composition(join(one,one),complement(X_82)),
inference(resolve,[$cnf( $equal(composition(join(one,converse(one)),complement(X_82)),composition(join(one,one),complement(X_82))) )],[refute_0_404,refute_0_426]) ).
cnf(refute_0_428,plain,
( join(complement(X_82),composition(converse(one),complement(X_82))) != complement(X_82)
| join(complement(X_82),composition(converse(one),complement(X_82))) != composition(join(one,one),complement(X_82))
| composition(join(one,one),complement(X_82)) = complement(X_82) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_82),composition(converse(one),complement(X_82))),complement(X_82)) ),[0],$fot(composition(join(one,one),complement(X_82)))]]) ).
cnf(refute_0_429,plain,
( join(complement(X_82),composition(converse(one),complement(X_82))) != complement(X_82)
| composition(join(one,one),complement(X_82)) = complement(X_82) ),
inference(resolve,[$cnf( $equal(join(complement(X_82),composition(converse(one),complement(X_82))),composition(join(one,one),complement(X_82))) )],[refute_0_427,refute_0_428]) ).
cnf(refute_0_430,plain,
composition(join(one,one),complement(X_82)) = complement(X_82),
inference(resolve,[$cnf( $equal(join(complement(X_82),composition(converse(one),complement(X_82))),complement(X_82)) )],[refute_0_381,refute_0_429]) ).
cnf(refute_0_431,plain,
composition(join(one,one),complement(X0)) = complement(X0),
inference(subst,[],[refute_0_430:[bind(X_82,$fot(X0))]]) ).
cnf(refute_0_432,plain,
meet(top,composition(join(one,one),complement(X0))) = meet(top,composition(join(one,one),complement(X0))),
introduced(tautology,[refl,[$fot(meet(top,composition(join(one,one),complement(X0))))]]) ).
cnf(refute_0_433,plain,
( composition(join(one,one),complement(X0)) != complement(X0)
| meet(top,composition(join(one,one),complement(X0))) != meet(top,composition(join(one,one),complement(X0)))
| meet(top,composition(join(one,one),complement(X0))) = meet(top,complement(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,composition(join(one,one),complement(X0))),meet(top,composition(join(one,one),complement(X0)))) ),[1,1],$fot(complement(X0))]]) ).
cnf(refute_0_434,plain,
( composition(join(one,one),complement(X0)) != complement(X0)
| meet(top,composition(join(one,one),complement(X0))) = meet(top,complement(X0)) ),
inference(resolve,[$cnf( $equal(meet(top,composition(join(one,one),complement(X0))),meet(top,composition(join(one,one),complement(X0)))) )],[refute_0_432,refute_0_433]) ).
cnf(refute_0_435,plain,
meet(top,composition(join(one,one),complement(X0))) = meet(top,complement(X0)),
inference(resolve,[$cnf( $equal(composition(join(one,one),complement(X0)),complement(X0)) )],[refute_0_431,refute_0_434]) ).
cnf(refute_0_436,plain,
complement(meet(top,composition(join(one,one),complement(X0)))) = complement(meet(top,composition(join(one,one),complement(X0)))),
introduced(tautology,[refl,[$fot(complement(meet(top,composition(join(one,one),complement(X0)))))]]) ).
cnf(refute_0_437,plain,
( complement(meet(top,composition(join(one,one),complement(X0)))) != complement(meet(top,composition(join(one,one),complement(X0))))
| meet(top,composition(join(one,one),complement(X0))) != meet(top,complement(X0))
| complement(meet(top,composition(join(one,one),complement(X0)))) = complement(meet(top,complement(X0))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(top,composition(join(one,one),complement(X0)))),complement(meet(top,composition(join(one,one),complement(X0))))) ),[1,0],$fot(meet(top,complement(X0)))]]) ).
cnf(refute_0_438,plain,
( meet(top,composition(join(one,one),complement(X0))) != meet(top,complement(X0))
| complement(meet(top,composition(join(one,one),complement(X0)))) = complement(meet(top,complement(X0))) ),
inference(resolve,[$cnf( $equal(complement(meet(top,composition(join(one,one),complement(X0)))),complement(meet(top,composition(join(one,one),complement(X0))))) )],[refute_0_436,refute_0_437]) ).
cnf(refute_0_439,plain,
complement(meet(top,composition(join(one,one),complement(X0)))) = complement(meet(top,complement(X0))),
inference(resolve,[$cnf( $equal(meet(top,composition(join(one,one),complement(X0))),meet(top,complement(X0))) )],[refute_0_435,refute_0_438]) ).
cnf(refute_0_440,plain,
( X0 != complement(meet(top,composition(join(one,one),complement(X0))))
| complement(meet(top,composition(join(one,one),complement(X0)))) != complement(meet(top,complement(X0)))
| X0 = complement(meet(top,complement(X0))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X0,complement(meet(top,complement(X0)))) ),[0],$fot(complement(meet(top,composition(join(one,one),complement(X0)))))]]) ).
cnf(refute_0_441,plain,
( X0 != complement(meet(top,composition(join(one,one),complement(X0))))
| X0 = complement(meet(top,complement(X0))) ),
inference(resolve,[$cnf( $equal(complement(meet(top,composition(join(one,one),complement(X0)))),complement(meet(top,complement(X0)))) )],[refute_0_439,refute_0_440]) ).
cnf(refute_0_442,plain,
X0 = complement(meet(top,complement(X0))),
inference(resolve,[$cnf( $equal(X0,complement(meet(top,composition(join(one,one),complement(X0))))) )],[refute_0_369,refute_0_441]) ).
cnf(refute_0_443,plain,
X_64 = join(meet(zero,X_64),complement(join(zero,complement(X_64)))),
inference(subst,[],[refute_0_235:[bind(X_14,$fot(X_64)),bind(X_15,$fot(zero))]]) ).
cnf(refute_0_444,plain,
meet(top,X_64) = complement(join(zero,complement(X_64))),
inference(subst,[],[refute_0_177:[bind(X1,$fot(X_64))]]) ).
cnf(refute_0_445,plain,
( meet(top,X_64) != complement(join(zero,complement(X_64)))
| complement(join(zero,complement(X_64))) = meet(top,X_64) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(meet(top,X_64))),bind(Y,$fot(complement(join(zero,complement(X_64)))))]]) ).
cnf(refute_0_446,plain,
complement(join(zero,complement(X_64))) = meet(top,X_64),
inference(resolve,[$cnf( $equal(meet(top,X_64),complement(join(zero,complement(X_64)))) )],[refute_0_444,refute_0_445]) ).
cnf(refute_0_447,plain,
( X_64 != join(meet(zero,X_64),complement(join(zero,complement(X_64))))
| complement(join(zero,complement(X_64))) != meet(top,X_64)
| X_64 = join(meet(zero,X_64),meet(top,X_64)) ),
introduced(tautology,[equality,[$cnf( $equal(X_64,join(meet(zero,X_64),complement(join(zero,complement(X_64))))) ),[1,1],$fot(meet(top,X_64))]]) ).
cnf(refute_0_448,plain,
( X_64 != join(meet(zero,X_64),complement(join(zero,complement(X_64))))
| X_64 = join(meet(zero,X_64),meet(top,X_64)) ),
inference(resolve,[$cnf( $equal(complement(join(zero,complement(X_64))),meet(top,X_64)) )],[refute_0_446,refute_0_447]) ).
cnf(refute_0_449,plain,
X_64 = join(meet(zero,X_64),meet(top,X_64)),
inference(resolve,[$cnf( $equal(X_64,join(meet(zero,X_64),complement(join(zero,complement(X_64))))) )],[refute_0_443,refute_0_448]) ).
cnf(refute_0_450,plain,
join(meet(zero,X_64),meet(top,X_64)) = join(meet(top,X_64),meet(zero,X_64)),
inference(subst,[],[refute_0_6:[bind(X0,$fot(meet(top,X_64))),bind(X1,$fot(meet(zero,X_64)))]]) ).
cnf(refute_0_451,plain,
( X_64 != join(meet(zero,X_64),meet(top,X_64))
| join(meet(zero,X_64),meet(top,X_64)) != join(meet(top,X_64),meet(zero,X_64))
| X_64 = join(meet(top,X_64),meet(zero,X_64)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_64,join(meet(top,X_64),meet(zero,X_64))) ),[0],$fot(join(meet(zero,X_64),meet(top,X_64)))]]) ).
cnf(refute_0_452,plain,
( X_64 != join(meet(zero,X_64),meet(top,X_64))
| X_64 = join(meet(top,X_64),meet(zero,X_64)) ),
inference(resolve,[$cnf( $equal(join(meet(zero,X_64),meet(top,X_64)),join(meet(top,X_64),meet(zero,X_64))) )],[refute_0_450,refute_0_451]) ).
cnf(refute_0_453,plain,
X_64 = join(meet(top,X_64),meet(zero,X_64)),
inference(resolve,[$cnf( $equal(X_64,join(meet(zero,X_64),meet(top,X_64))) )],[refute_0_449,refute_0_452]) ).
cnf(refute_0_454,plain,
join(meet(top,X_64),zero) = join(zero,meet(top,X_64)),
inference(subst,[],[refute_0_6:[bind(X0,$fot(zero)),bind(X1,$fot(meet(top,X_64)))]]) ).
cnf(refute_0_455,plain,
meet(zero,X1) = complement(join(complement(zero),complement(X1))),
inference(subst,[],[refute_0_17:[bind(X0,$fot(zero))]]) ).
cnf(refute_0_456,plain,
complement(zero) = join(meet(complement(zero),top),complement(join(top,complement(complement(zero))))),
inference(subst,[],[refute_0_231:[bind(X_14,$fot(complement(zero))),bind(X_15,$fot(top))]]) ).
cnf(refute_0_457,plain,
top = join(join(complement(X_39),complement(X_40)),complement(join(complement(X_39),complement(X_40)))),
inference(subst,[],[refute_0_108:[bind(X0,$fot(join(complement(X_39),complement(X_40))))]]) ).
cnf(refute_0_458,plain,
( complement(join(complement(X_39),complement(X_40))) != meet(X_39,X_40)
| top != join(join(complement(X_39),complement(X_40)),complement(join(complement(X_39),complement(X_40))))
| top = join(join(complement(X_39),complement(X_40)),meet(X_39,X_40)) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(join(complement(X_39),complement(X_40)),complement(join(complement(X_39),complement(X_40))))) ),[1,1],$fot(meet(X_39,X_40))]]) ).
cnf(refute_0_459,plain,
( top != join(join(complement(X_39),complement(X_40)),complement(join(complement(X_39),complement(X_40))))
| top = join(join(complement(X_39),complement(X_40)),meet(X_39,X_40)) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_39),complement(X_40))),meet(X_39,X_40)) )],[refute_0_142,refute_0_458]) ).
cnf(refute_0_460,plain,
top = join(join(complement(X_39),complement(X_40)),meet(X_39,X_40)),
inference(resolve,[$cnf( $equal(top,join(join(complement(X_39),complement(X_40)),complement(join(complement(X_39),complement(X_40))))) )],[refute_0_457,refute_0_459]) ).
cnf(refute_0_461,plain,
join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(canonicalize,[],[normalize_0_25]) ).
cnf(refute_0_462,plain,
( join(X0,join(X1,X2)) != join(join(X0,X1),X2)
| join(join(X0,X1),X2) = join(X0,join(X1,X2)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(X0,join(X1,X2)))),bind(Y,$fot(join(join(X0,X1),X2)))]]) ).
cnf(refute_0_463,plain,
join(join(X0,X1),X2) = join(X0,join(X1,X2)),
inference(resolve,[$cnf( $equal(join(X0,join(X1,X2)),join(join(X0,X1),X2)) )],[refute_0_461,refute_0_462]) ).
cnf(refute_0_464,plain,
join(join(complement(X_39),complement(X_40)),meet(X_39,X_40)) = join(complement(X_39),join(complement(X_40),meet(X_39,X_40))),
inference(subst,[],[refute_0_463:[bind(X0,$fot(complement(X_39))),bind(X1,$fot(complement(X_40))),bind(X2,$fot(meet(X_39,X_40)))]]) ).
cnf(refute_0_465,plain,
( join(join(complement(X_39),complement(X_40)),meet(X_39,X_40)) != join(complement(X_39),join(complement(X_40),meet(X_39,X_40)))
| top != join(join(complement(X_39),complement(X_40)),meet(X_39,X_40))
| top = join(complement(X_39),join(complement(X_40),meet(X_39,X_40))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(join(complement(X_39),complement(X_40)),meet(X_39,X_40))) ),[1],$fot(join(complement(X_39),join(complement(X_40),meet(X_39,X_40))))]]) ).
cnf(refute_0_466,plain,
( top != join(join(complement(X_39),complement(X_40)),meet(X_39,X_40))
| top = join(complement(X_39),join(complement(X_40),meet(X_39,X_40))) ),
inference(resolve,[$cnf( $equal(join(join(complement(X_39),complement(X_40)),meet(X_39,X_40)),join(complement(X_39),join(complement(X_40),meet(X_39,X_40)))) )],[refute_0_464,refute_0_465]) ).
cnf(refute_0_467,plain,
top = join(complement(X_39),join(complement(X_40),meet(X_39,X_40))),
inference(resolve,[$cnf( $equal(top,join(join(complement(X_39),complement(X_40)),meet(X_39,X_40))) )],[refute_0_460,refute_0_466]) ).
cnf(refute_0_468,plain,
top = join(complement(top),join(complement(complement(zero)),meet(top,complement(zero)))),
inference(subst,[],[refute_0_467:[bind(X_39,$fot(top)),bind(X_40,$fot(complement(zero)))]]) ).
cnf(refute_0_469,plain,
meet(top,complement(zero)) = join(meet(meet(top,complement(zero)),top),complement(join(top,complement(meet(top,complement(zero)))))),
inference(subst,[],[refute_0_231:[bind(X_14,$fot(meet(top,complement(zero)))),bind(X_15,$fot(top))]]) ).
cnf(refute_0_470,plain,
join(zero,join(meet(top,complement(zero)),X2)) = join(join(zero,meet(top,complement(zero))),X2),
inference(subst,[],[refute_0_461:[bind(X0,$fot(zero)),bind(X1,$fot(meet(top,complement(zero))))]]) ).
cnf(refute_0_471,plain,
join(complement(top),meet(X_14,complement(complement(X_14)))) = join(complement(top),meet(X_14,complement(complement(X_14)))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(X_14,complement(complement(X_14)))))]]) ).
cnf(refute_0_472,plain,
( complement(top) != zero
| join(complement(top),meet(X_14,complement(complement(X_14)))) != join(complement(top),meet(X_14,complement(complement(X_14))))
| join(complement(top),meet(X_14,complement(complement(X_14)))) = join(zero,meet(X_14,complement(complement(X_14)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(X_14,complement(complement(X_14)))),join(complement(top),meet(X_14,complement(complement(X_14))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_473,plain,
( complement(top) != zero
| join(complement(top),meet(X_14,complement(complement(X_14)))) = join(zero,meet(X_14,complement(complement(X_14)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_14,complement(complement(X_14)))),join(complement(top),meet(X_14,complement(complement(X_14))))) )],[refute_0_471,refute_0_472]) ).
cnf(refute_0_474,plain,
join(complement(top),meet(X_14,complement(complement(X_14)))) = join(zero,meet(X_14,complement(complement(X_14)))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_165,refute_0_473]) ).
cnf(refute_0_475,plain,
( X_14 != join(complement(top),meet(X_14,complement(complement(X_14))))
| join(complement(top),meet(X_14,complement(complement(X_14)))) != join(zero,meet(X_14,complement(complement(X_14))))
| X_14 = join(zero,meet(X_14,complement(complement(X_14)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_14,join(zero,meet(X_14,complement(complement(X_14))))) ),[0],$fot(join(complement(top),meet(X_14,complement(complement(X_14)))))]]) ).
cnf(refute_0_476,plain,
( X_14 != join(complement(top),meet(X_14,complement(complement(X_14))))
| X_14 = join(zero,meet(X_14,complement(complement(X_14)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_14,complement(complement(X_14)))),join(zero,meet(X_14,complement(complement(X_14))))) )],[refute_0_474,refute_0_475]) ).
cnf(refute_0_477,plain,
X_14 = join(zero,meet(X_14,complement(complement(X_14)))),
inference(resolve,[$cnf( $equal(X_14,join(complement(top),meet(X_14,complement(complement(X_14))))) )],[refute_0_118,refute_0_476]) ).
cnf(refute_0_478,plain,
top = join(zero,meet(top,complement(complement(top)))),
inference(subst,[],[refute_0_477:[bind(X_14,$fot(top))]]) ).
cnf(refute_0_479,plain,
( complement(top) != zero
| top != join(zero,meet(top,complement(complement(top))))
| top = join(zero,meet(top,complement(zero))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(zero,meet(top,complement(complement(top))))) ),[1,1,1,0],$fot(zero)]]) ).
cnf(refute_0_480,plain,
( top != join(zero,meet(top,complement(complement(top))))
| top = join(zero,meet(top,complement(zero))) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_165,refute_0_479]) ).
cnf(refute_0_481,plain,
top = join(zero,meet(top,complement(zero))),
inference(resolve,[$cnf( $equal(top,join(zero,meet(top,complement(complement(top))))) )],[refute_0_478,refute_0_480]) ).
cnf(refute_0_482,plain,
( top != join(zero,meet(top,complement(zero)))
| join(zero,meet(top,complement(zero))) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(zero,meet(top,complement(zero)))))]]) ).
cnf(refute_0_483,plain,
join(zero,meet(top,complement(zero))) = top,
inference(resolve,[$cnf( $equal(top,join(zero,meet(top,complement(zero)))) )],[refute_0_481,refute_0_482]) ).
cnf(refute_0_484,plain,
( join(zero,join(meet(top,complement(zero)),X2)) != join(join(zero,meet(top,complement(zero))),X2)
| join(zero,meet(top,complement(zero))) != top
| join(zero,join(meet(top,complement(zero)),X2)) = join(top,X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,join(meet(top,complement(zero)),X2)),join(join(zero,meet(top,complement(zero))),X2)) ),[1,0],$fot(top)]]) ).
cnf(refute_0_485,plain,
( join(zero,join(meet(top,complement(zero)),X2)) != join(join(zero,meet(top,complement(zero))),X2)
| join(zero,join(meet(top,complement(zero)),X2)) = join(top,X2) ),
inference(resolve,[$cnf( $equal(join(zero,meet(top,complement(zero))),top) )],[refute_0_483,refute_0_484]) ).
cnf(refute_0_486,plain,
join(zero,join(meet(top,complement(zero)),X2)) = join(top,X2),
inference(resolve,[$cnf( $equal(join(zero,join(meet(top,complement(zero)),X2)),join(join(zero,meet(top,complement(zero))),X2)) )],[refute_0_470,refute_0_485]) ).
cnf(refute_0_487,plain,
join(zero,join(meet(top,complement(zero)),complement(meet(top,complement(zero))))) = join(top,complement(meet(top,complement(zero)))),
inference(subst,[],[refute_0_486:[bind(X2,$fot(complement(meet(top,complement(zero)))))]]) ).
cnf(refute_0_488,plain,
top = join(meet(top,complement(zero)),complement(meet(top,complement(zero)))),
inference(subst,[],[refute_0_108:[bind(X0,$fot(meet(top,complement(zero))))]]) ).
cnf(refute_0_489,plain,
( top != join(meet(top,complement(zero)),complement(meet(top,complement(zero))))
| join(meet(top,complement(zero)),complement(meet(top,complement(zero)))) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(meet(top,complement(zero)),complement(meet(top,complement(zero))))))]]) ).
cnf(refute_0_490,plain,
join(meet(top,complement(zero)),complement(meet(top,complement(zero)))) = top,
inference(resolve,[$cnf( $equal(top,join(meet(top,complement(zero)),complement(meet(top,complement(zero))))) )],[refute_0_488,refute_0_489]) ).
cnf(refute_0_491,plain,
( join(meet(top,complement(zero)),complement(meet(top,complement(zero)))) != top
| join(zero,join(meet(top,complement(zero)),complement(meet(top,complement(zero))))) != join(top,complement(meet(top,complement(zero))))
| join(zero,top) = join(top,complement(meet(top,complement(zero)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,join(meet(top,complement(zero)),complement(meet(top,complement(zero))))),join(top,complement(meet(top,complement(zero))))) ),[0,1],$fot(top)]]) ).
cnf(refute_0_492,plain,
( join(zero,join(meet(top,complement(zero)),complement(meet(top,complement(zero))))) != join(top,complement(meet(top,complement(zero))))
| join(zero,top) = join(top,complement(meet(top,complement(zero)))) ),
inference(resolve,[$cnf( $equal(join(meet(top,complement(zero)),complement(meet(top,complement(zero)))),top) )],[refute_0_490,refute_0_491]) ).
cnf(refute_0_493,plain,
join(zero,top) = join(top,complement(meet(top,complement(zero)))),
inference(resolve,[$cnf( $equal(join(zero,join(meet(top,complement(zero)),complement(meet(top,complement(zero))))),join(top,complement(meet(top,complement(zero))))) )],[refute_0_487,refute_0_492]) ).
cnf(refute_0_494,plain,
top = join(top,complement(top)),
inference(subst,[],[refute_0_108:[bind(X0,$fot(top))]]) ).
cnf(refute_0_495,plain,
( complement(top) != zero
| top != join(top,complement(top))
| top = join(top,zero) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(top,complement(top))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_496,plain,
( top != join(top,complement(top))
| top = join(top,zero) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_165,refute_0_495]) ).
cnf(refute_0_497,plain,
top = join(top,zero),
inference(resolve,[$cnf( $equal(top,join(top,complement(top))) )],[refute_0_494,refute_0_496]) ).
cnf(refute_0_498,plain,
( top != join(top,zero)
| join(top,zero) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(top,zero)))]]) ).
cnf(refute_0_499,plain,
join(top,zero) = top,
inference(resolve,[$cnf( $equal(top,join(top,zero)) )],[refute_0_497,refute_0_498]) ).
cnf(refute_0_500,plain,
join(zero,top) = join(top,zero),
inference(subst,[],[refute_0_6:[bind(X0,$fot(top)),bind(X1,$fot(zero))]]) ).
cnf(refute_0_501,plain,
( join(top,zero) != top
| join(zero,top) != join(top,zero)
| join(zero,top) = top ),
inference(subst,[],[refute_0_25:[bind(X,$fot(join(zero,top))),bind(Y,$fot(join(top,zero))),bind(Z,$fot(top))]]) ).
cnf(refute_0_502,plain,
( join(top,zero) != top
| join(zero,top) = top ),
inference(resolve,[$cnf( $equal(join(zero,top),join(top,zero)) )],[refute_0_500,refute_0_501]) ).
cnf(refute_0_503,plain,
join(zero,top) = top,
inference(resolve,[$cnf( $equal(join(top,zero),top) )],[refute_0_499,refute_0_502]) ).
cnf(refute_0_504,plain,
( join(zero,top) != join(top,complement(meet(top,complement(zero))))
| join(zero,top) != top
| top = join(top,complement(meet(top,complement(zero)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,top),join(top,complement(meet(top,complement(zero))))) ),[0],$fot(top)]]) ).
cnf(refute_0_505,plain,
( join(zero,top) != join(top,complement(meet(top,complement(zero))))
| top = join(top,complement(meet(top,complement(zero)))) ),
inference(resolve,[$cnf( $equal(join(zero,top),top) )],[refute_0_503,refute_0_504]) ).
cnf(refute_0_506,plain,
top = join(top,complement(meet(top,complement(zero)))),
inference(resolve,[$cnf( $equal(join(zero,top),join(top,complement(meet(top,complement(zero))))) )],[refute_0_493,refute_0_505]) ).
cnf(refute_0_507,plain,
( top != join(top,complement(meet(top,complement(zero))))
| join(top,complement(meet(top,complement(zero)))) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(top,complement(meet(top,complement(zero))))))]]) ).
cnf(refute_0_508,plain,
join(top,complement(meet(top,complement(zero)))) = top,
inference(resolve,[$cnf( $equal(top,join(top,complement(meet(top,complement(zero))))) )],[refute_0_506,refute_0_507]) ).
cnf(refute_0_509,plain,
( join(top,complement(meet(top,complement(zero)))) != top
| meet(top,complement(zero)) != join(meet(meet(top,complement(zero)),top),complement(join(top,complement(meet(top,complement(zero))))))
| meet(top,complement(zero)) = join(meet(meet(top,complement(zero)),top),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,complement(zero)),join(meet(meet(top,complement(zero)),top),complement(join(top,complement(meet(top,complement(zero))))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_0_510,plain,
( meet(top,complement(zero)) != join(meet(meet(top,complement(zero)),top),complement(join(top,complement(meet(top,complement(zero))))))
| meet(top,complement(zero)) = join(meet(meet(top,complement(zero)),top),complement(top)) ),
inference(resolve,[$cnf( $equal(join(top,complement(meet(top,complement(zero)))),top) )],[refute_0_508,refute_0_509]) ).
cnf(refute_0_511,plain,
meet(top,complement(zero)) = join(meet(meet(top,complement(zero)),top),complement(top)),
inference(resolve,[$cnf( $equal(meet(top,complement(zero)),join(meet(meet(top,complement(zero)),top),complement(join(top,complement(meet(top,complement(zero))))))) )],[refute_0_469,refute_0_510]) ).
cnf(refute_0_512,plain,
top = join(complement(top),meet(top,meet(top,complement(complement(top))))),
inference(subst,[],[refute_0_128:[bind(X_17,$fot(top))]]) ).
cnf(refute_0_513,plain,
( complement(top) != zero
| top != join(complement(top),meet(top,meet(top,complement(complement(top)))))
| top = join(zero,meet(top,meet(top,complement(complement(top))))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(top),meet(top,meet(top,complement(complement(top)))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_514,plain,
( top != join(complement(top),meet(top,meet(top,complement(complement(top)))))
| top = join(zero,meet(top,meet(top,complement(complement(top))))) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_165,refute_0_513]) ).
cnf(refute_0_515,plain,
top = join(zero,meet(top,meet(top,complement(complement(top))))),
inference(resolve,[$cnf( $equal(top,join(complement(top),meet(top,meet(top,complement(complement(top)))))) )],[refute_0_512,refute_0_514]) ).
cnf(refute_0_516,plain,
complement(complement(top)) = complement(complement(top)),
introduced(tautology,[refl,[$fot(complement(complement(top)))]]) ).
cnf(refute_0_517,plain,
( complement(complement(top)) != complement(complement(top))
| complement(top) != zero
| complement(complement(top)) = complement(zero) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(top)),complement(complement(top))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_518,plain,
( complement(top) != zero
| complement(complement(top)) = complement(zero) ),
inference(resolve,[$cnf( $equal(complement(complement(top)),complement(complement(top))) )],[refute_0_516,refute_0_517]) ).
cnf(refute_0_519,plain,
complement(complement(top)) = complement(zero),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_165,refute_0_518]) ).
cnf(refute_0_520,plain,
meet(top,complement(complement(top))) = meet(top,complement(complement(top))),
introduced(tautology,[refl,[$fot(meet(top,complement(complement(top))))]]) ).
cnf(refute_0_521,plain,
( complement(complement(top)) != complement(zero)
| meet(top,complement(complement(top))) != meet(top,complement(complement(top)))
| meet(top,complement(complement(top))) = meet(top,complement(zero)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,complement(complement(top))),meet(top,complement(complement(top)))) ),[1,1],$fot(complement(zero))]]) ).
cnf(refute_0_522,plain,
( complement(complement(top)) != complement(zero)
| meet(top,complement(complement(top))) = meet(top,complement(zero)) ),
inference(resolve,[$cnf( $equal(meet(top,complement(complement(top))),meet(top,complement(complement(top)))) )],[refute_0_520,refute_0_521]) ).
cnf(refute_0_523,plain,
meet(top,complement(complement(top))) = meet(top,complement(zero)),
inference(resolve,[$cnf( $equal(complement(complement(top)),complement(zero)) )],[refute_0_519,refute_0_522]) ).
cnf(refute_0_524,plain,
meet(top,meet(top,complement(complement(top)))) = meet(top,meet(top,complement(complement(top)))),
introduced(tautology,[refl,[$fot(meet(top,meet(top,complement(complement(top)))))]]) ).
cnf(refute_0_525,plain,
( meet(top,complement(complement(top))) != meet(top,complement(zero))
| meet(top,meet(top,complement(complement(top)))) != meet(top,meet(top,complement(complement(top))))
| meet(top,meet(top,complement(complement(top)))) = meet(top,meet(top,complement(zero))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,meet(top,complement(complement(top)))),meet(top,meet(top,complement(complement(top))))) ),[1,1],$fot(meet(top,complement(zero)))]]) ).
cnf(refute_0_526,plain,
( meet(top,complement(complement(top))) != meet(top,complement(zero))
| meet(top,meet(top,complement(complement(top)))) = meet(top,meet(top,complement(zero))) ),
inference(resolve,[$cnf( $equal(meet(top,meet(top,complement(complement(top)))),meet(top,meet(top,complement(complement(top))))) )],[refute_0_524,refute_0_525]) ).
cnf(refute_0_527,plain,
meet(top,meet(top,complement(complement(top)))) = meet(top,meet(top,complement(zero))),
inference(resolve,[$cnf( $equal(meet(top,complement(complement(top))),meet(top,complement(zero))) )],[refute_0_523,refute_0_526]) ).
cnf(refute_0_528,plain,
join(zero,meet(top,meet(top,complement(complement(top))))) = join(zero,meet(top,meet(top,complement(complement(top))))),
introduced(tautology,[refl,[$fot(join(zero,meet(top,meet(top,complement(complement(top))))))]]) ).
cnf(refute_0_529,plain,
( join(zero,meet(top,meet(top,complement(complement(top))))) != join(zero,meet(top,meet(top,complement(complement(top)))))
| meet(top,meet(top,complement(complement(top)))) != meet(top,meet(top,complement(zero)))
| join(zero,meet(top,meet(top,complement(complement(top))))) = join(zero,meet(top,meet(top,complement(zero)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(top,meet(top,complement(complement(top))))),join(zero,meet(top,meet(top,complement(complement(top)))))) ),[1,1],$fot(meet(top,meet(top,complement(zero))))]]) ).
cnf(refute_0_530,plain,
( meet(top,meet(top,complement(complement(top)))) != meet(top,meet(top,complement(zero)))
| join(zero,meet(top,meet(top,complement(complement(top))))) = join(zero,meet(top,meet(top,complement(zero)))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(top,meet(top,complement(complement(top))))),join(zero,meet(top,meet(top,complement(complement(top)))))) )],[refute_0_528,refute_0_529]) ).
cnf(refute_0_531,plain,
join(zero,meet(top,meet(top,complement(complement(top))))) = join(zero,meet(top,meet(top,complement(zero)))),
inference(resolve,[$cnf( $equal(meet(top,meet(top,complement(complement(top)))),meet(top,meet(top,complement(zero)))) )],[refute_0_527,refute_0_530]) ).
cnf(refute_0_532,plain,
( join(zero,meet(top,meet(top,complement(complement(top))))) != join(zero,meet(top,meet(top,complement(zero))))
| top != join(zero,meet(top,meet(top,complement(complement(top)))))
| top = join(zero,meet(top,meet(top,complement(zero)))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(zero,meet(top,meet(top,complement(complement(top)))))) ),[1],$fot(join(zero,meet(top,meet(top,complement(zero)))))]]) ).
cnf(refute_0_533,plain,
( top != join(zero,meet(top,meet(top,complement(complement(top)))))
| top = join(zero,meet(top,meet(top,complement(zero)))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(top,meet(top,complement(complement(top))))),join(zero,meet(top,meet(top,complement(zero))))) )],[refute_0_531,refute_0_532]) ).
cnf(refute_0_534,plain,
top = join(zero,meet(top,meet(top,complement(zero)))),
inference(resolve,[$cnf( $equal(top,join(zero,meet(top,meet(top,complement(complement(top)))))) )],[refute_0_515,refute_0_533]) ).
cnf(refute_0_535,plain,
( top != join(zero,meet(top,meet(top,complement(zero))))
| join(zero,meet(top,meet(top,complement(zero)))) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(zero,meet(top,meet(top,complement(zero))))))]]) ).
cnf(refute_0_536,plain,
join(zero,meet(top,meet(top,complement(zero)))) = top,
inference(resolve,[$cnf( $equal(top,join(zero,meet(top,meet(top,complement(zero))))) )],[refute_0_534,refute_0_535]) ).
cnf(refute_0_537,plain,
meet(X0,top) = complement(join(complement(X0),complement(top))),
inference(subst,[],[refute_0_17:[bind(X1,$fot(top))]]) ).
cnf(refute_0_538,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_539,plain,
( meet(X0,top) != complement(join(complement(X0),complement(top)))
| meet(X0,top) = complement(join(complement(X0),zero)) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_165,refute_0_538]) ).
cnf(refute_0_540,plain,
meet(X0,top) = complement(join(complement(X0),zero)),
inference(resolve,[$cnf( $equal(meet(X0,top),complement(join(complement(X0),complement(top)))) )],[refute_0_537,refute_0_539]) ).
cnf(refute_0_541,plain,
( meet(top,X1) != complement(join(zero,complement(X1)))
| complement(join(zero,complement(X1))) = meet(top,X1) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(meet(top,X1))),bind(Y,$fot(complement(join(zero,complement(X1)))))]]) ).
cnf(refute_0_542,plain,
complement(join(zero,complement(X1))) = meet(top,X1),
inference(resolve,[$cnf( $equal(meet(top,X1),complement(join(zero,complement(X1)))) )],[refute_0_177,refute_0_541]) ).
cnf(refute_0_543,plain,
complement(join(zero,complement(X0))) = meet(top,X0),
inference(subst,[],[refute_0_542:[bind(X1,$fot(X0))]]) ).
cnf(refute_0_544,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_545,plain,
complement(join(complement(X0),zero)) = complement(join(complement(X0),zero)),
introduced(tautology,[refl,[$fot(complement(join(complement(X0),zero)))]]) ).
cnf(refute_0_546,plain,
( complement(join(complement(X0),zero)) != complement(join(complement(X0),zero))
| join(complement(X0),zero) != join(zero,complement(X0))
| complement(join(complement(X0),zero)) = complement(join(zero,complement(X0))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(X0),zero)),complement(join(complement(X0),zero))) ),[1,0],$fot(join(zero,complement(X0)))]]) ).
cnf(refute_0_547,plain,
( join(complement(X0),zero) != join(zero,complement(X0))
| complement(join(complement(X0),zero)) = complement(join(zero,complement(X0))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X0),zero)),complement(join(complement(X0),zero))) )],[refute_0_545,refute_0_546]) ).
cnf(refute_0_548,plain,
complement(join(complement(X0),zero)) = complement(join(zero,complement(X0))),
inference(resolve,[$cnf( $equal(join(complement(X0),zero),join(zero,complement(X0))) )],[refute_0_544,refute_0_547]) ).
cnf(refute_0_549,plain,
( complement(join(complement(X0),zero)) != complement(join(zero,complement(X0)))
| complement(join(zero,complement(X0))) != meet(top,X0)
| complement(join(complement(X0),zero)) = meet(top,X0) ),
inference(subst,[],[refute_0_25:[bind(X,$fot(complement(join(complement(X0),zero)))),bind(Y,$fot(complement(join(zero,complement(X0))))),bind(Z,$fot(meet(top,X0)))]]) ).
cnf(refute_0_550,plain,
( complement(join(zero,complement(X0))) != meet(top,X0)
| complement(join(complement(X0),zero)) = meet(top,X0) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X0),zero)),complement(join(zero,complement(X0)))) )],[refute_0_548,refute_0_549]) ).
cnf(refute_0_551,plain,
complement(join(complement(X0),zero)) = meet(top,X0),
inference(resolve,[$cnf( $equal(complement(join(zero,complement(X0))),meet(top,X0)) )],[refute_0_543,refute_0_550]) ).
cnf(refute_0_552,plain,
( complement(join(complement(X0),zero)) != meet(top,X0)
| meet(X0,top) != complement(join(complement(X0),zero))
| meet(X0,top) = meet(top,X0) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X0,top),complement(join(complement(X0),zero))) ),[1],$fot(meet(top,X0))]]) ).
cnf(refute_0_553,plain,
( meet(X0,top) != complement(join(complement(X0),zero))
| meet(X0,top) = meet(top,X0) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X0),zero)),meet(top,X0)) )],[refute_0_551,refute_0_552]) ).
cnf(refute_0_554,plain,
meet(X0,top) = meet(top,X0),
inference(resolve,[$cnf( $equal(meet(X0,top),complement(join(complement(X0),zero))) )],[refute_0_540,refute_0_553]) ).
cnf(refute_0_555,plain,
meet(meet(top,complement(zero)),top) = meet(top,meet(top,complement(zero))),
inference(subst,[],[refute_0_554:[bind(X0,$fot(meet(top,complement(zero))))]]) ).
cnf(refute_0_556,plain,
join(zero,meet(meet(top,complement(zero)),top)) = join(zero,meet(meet(top,complement(zero)),top)),
introduced(tautology,[refl,[$fot(join(zero,meet(meet(top,complement(zero)),top)))]]) ).
cnf(refute_0_557,plain,
( join(zero,meet(meet(top,complement(zero)),top)) != join(zero,meet(meet(top,complement(zero)),top))
| meet(meet(top,complement(zero)),top) != meet(top,meet(top,complement(zero)))
| join(zero,meet(meet(top,complement(zero)),top)) = join(zero,meet(top,meet(top,complement(zero)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(meet(top,complement(zero)),top)),join(zero,meet(meet(top,complement(zero)),top))) ),[1,1],$fot(meet(top,meet(top,complement(zero))))]]) ).
cnf(refute_0_558,plain,
( meet(meet(top,complement(zero)),top) != meet(top,meet(top,complement(zero)))
| join(zero,meet(meet(top,complement(zero)),top)) = join(zero,meet(top,meet(top,complement(zero)))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(meet(top,complement(zero)),top)),join(zero,meet(meet(top,complement(zero)),top))) )],[refute_0_556,refute_0_557]) ).
cnf(refute_0_559,plain,
join(zero,meet(meet(top,complement(zero)),top)) = join(zero,meet(top,meet(top,complement(zero)))),
inference(resolve,[$cnf( $equal(meet(meet(top,complement(zero)),top),meet(top,meet(top,complement(zero)))) )],[refute_0_555,refute_0_558]) ).
cnf(refute_0_560,plain,
join(complement(top),meet(meet(top,complement(zero)),top)) = join(complement(top),meet(meet(top,complement(zero)),top)),
introduced(tautology,[refl,[$fot(join(complement(top),meet(meet(top,complement(zero)),top)))]]) ).
cnf(refute_0_561,plain,
( complement(top) != zero
| join(complement(top),meet(meet(top,complement(zero)),top)) != join(complement(top),meet(meet(top,complement(zero)),top))
| join(complement(top),meet(meet(top,complement(zero)),top)) = join(zero,meet(meet(top,complement(zero)),top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(meet(top,complement(zero)),top)),join(complement(top),meet(meet(top,complement(zero)),top))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_562,plain,
( complement(top) != zero
| join(complement(top),meet(meet(top,complement(zero)),top)) = join(zero,meet(meet(top,complement(zero)),top)) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(meet(top,complement(zero)),top)),join(complement(top),meet(meet(top,complement(zero)),top))) )],[refute_0_560,refute_0_561]) ).
cnf(refute_0_563,plain,
join(complement(top),meet(meet(top,complement(zero)),top)) = join(zero,meet(meet(top,complement(zero)),top)),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_165,refute_0_562]) ).
cnf(refute_0_564,plain,
( join(complement(top),meet(meet(top,complement(zero)),top)) != join(zero,meet(meet(top,complement(zero)),top))
| join(zero,meet(meet(top,complement(zero)),top)) != join(zero,meet(top,meet(top,complement(zero))))
| join(complement(top),meet(meet(top,complement(zero)),top)) = join(zero,meet(top,meet(top,complement(zero)))) ),
inference(subst,[],[refute_0_25:[bind(X,$fot(join(complement(top),meet(meet(top,complement(zero)),top)))),bind(Y,$fot(join(zero,meet(meet(top,complement(zero)),top)))),bind(Z,$fot(join(zero,meet(top,meet(top,complement(zero))))))]]) ).
cnf(refute_0_565,plain,
( join(zero,meet(meet(top,complement(zero)),top)) != join(zero,meet(top,meet(top,complement(zero))))
| join(complement(top),meet(meet(top,complement(zero)),top)) = join(zero,meet(top,meet(top,complement(zero)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(meet(top,complement(zero)),top)),join(zero,meet(meet(top,complement(zero)),top))) )],[refute_0_563,refute_0_564]) ).
cnf(refute_0_566,plain,
join(complement(top),meet(meet(top,complement(zero)),top)) = join(zero,meet(top,meet(top,complement(zero)))),
inference(resolve,[$cnf( $equal(join(zero,meet(meet(top,complement(zero)),top)),join(zero,meet(top,meet(top,complement(zero))))) )],[refute_0_559,refute_0_565]) ).
cnf(refute_0_567,plain,
( join(complement(top),meet(meet(top,complement(zero)),top)) != join(zero,meet(top,meet(top,complement(zero))))
| join(zero,meet(top,meet(top,complement(zero)))) != top
| join(complement(top),meet(meet(top,complement(zero)),top)) = top ),
inference(subst,[],[refute_0_25:[bind(X,$fot(join(complement(top),meet(meet(top,complement(zero)),top)))),bind(Y,$fot(join(zero,meet(top,meet(top,complement(zero)))))),bind(Z,$fot(top))]]) ).
cnf(refute_0_568,plain,
( join(zero,meet(top,meet(top,complement(zero)))) != top
| join(complement(top),meet(meet(top,complement(zero)),top)) = top ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(meet(top,complement(zero)),top)),join(zero,meet(top,meet(top,complement(zero))))) )],[refute_0_566,refute_0_567]) ).
cnf(refute_0_569,plain,
join(complement(top),meet(meet(top,complement(zero)),top)) = top,
inference(resolve,[$cnf( $equal(join(zero,meet(top,meet(top,complement(zero)))),top) )],[refute_0_536,refute_0_568]) ).
cnf(refute_0_570,plain,
join(meet(meet(top,complement(zero)),top),complement(top)) = join(complement(top),meet(meet(top,complement(zero)),top)),
inference(subst,[],[refute_0_6:[bind(X0,$fot(complement(top))),bind(X1,$fot(meet(meet(top,complement(zero)),top)))]]) ).
cnf(refute_0_571,plain,
( join(complement(top),meet(meet(top,complement(zero)),top)) != top
| join(meet(meet(top,complement(zero)),top),complement(top)) != join(complement(top),meet(meet(top,complement(zero)),top))
| join(meet(meet(top,complement(zero)),top),complement(top)) = top ),
inference(subst,[],[refute_0_25:[bind(X,$fot(join(meet(meet(top,complement(zero)),top),complement(top)))),bind(Y,$fot(join(complement(top),meet(meet(top,complement(zero)),top)))),bind(Z,$fot(top))]]) ).
cnf(refute_0_572,plain,
( join(complement(top),meet(meet(top,complement(zero)),top)) != top
| join(meet(meet(top,complement(zero)),top),complement(top)) = top ),
inference(resolve,[$cnf( $equal(join(meet(meet(top,complement(zero)),top),complement(top)),join(complement(top),meet(meet(top,complement(zero)),top))) )],[refute_0_570,refute_0_571]) ).
cnf(refute_0_573,plain,
join(meet(meet(top,complement(zero)),top),complement(top)) = top,
inference(resolve,[$cnf( $equal(join(complement(top),meet(meet(top,complement(zero)),top)),top) )],[refute_0_569,refute_0_572]) ).
cnf(refute_0_574,plain,
( join(meet(meet(top,complement(zero)),top),complement(top)) != top
| meet(top,complement(zero)) != join(meet(meet(top,complement(zero)),top),complement(top))
| meet(top,complement(zero)) = top ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,complement(zero)),join(meet(meet(top,complement(zero)),top),complement(top))) ),[1],$fot(top)]]) ).
cnf(refute_0_575,plain,
( meet(top,complement(zero)) != join(meet(meet(top,complement(zero)),top),complement(top))
| meet(top,complement(zero)) = top ),
inference(resolve,[$cnf( $equal(join(meet(meet(top,complement(zero)),top),complement(top)),top) )],[refute_0_573,refute_0_574]) ).
cnf(refute_0_576,plain,
meet(top,complement(zero)) = top,
inference(resolve,[$cnf( $equal(meet(top,complement(zero)),join(meet(meet(top,complement(zero)),top),complement(top))) )],[refute_0_511,refute_0_575]) ).
cnf(refute_0_577,plain,
( meet(top,complement(zero)) != top
| top != join(complement(top),join(complement(complement(zero)),meet(top,complement(zero))))
| top = join(complement(top),join(complement(complement(zero)),top)) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(top),join(complement(complement(zero)),meet(top,complement(zero))))) ),[1,1,1],$fot(top)]]) ).
cnf(refute_0_578,plain,
( top != join(complement(top),join(complement(complement(zero)),meet(top,complement(zero))))
| top = join(complement(top),join(complement(complement(zero)),top)) ),
inference(resolve,[$cnf( $equal(meet(top,complement(zero)),top) )],[refute_0_576,refute_0_577]) ).
cnf(refute_0_579,plain,
top = join(complement(top),join(complement(complement(zero)),top)),
inference(resolve,[$cnf( $equal(top,join(complement(top),join(complement(complement(zero)),meet(top,complement(zero))))) )],[refute_0_468,refute_0_578]) ).
cnf(refute_0_580,plain,
join(X_31,join(complement(X_31),X_33)) = join(join(X_31,complement(X_31)),X_33),
inference(subst,[],[refute_0_461:[bind(X0,$fot(X_31)),bind(X1,$fot(complement(X_31))),bind(X2,$fot(X_33))]]) ).
cnf(refute_0_581,plain,
top = join(X_31,complement(X_31)),
inference(subst,[],[refute_0_108:[bind(X0,$fot(X_31))]]) ).
cnf(refute_0_582,plain,
( top != join(X_31,complement(X_31))
| join(X_31,complement(X_31)) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(X_31,complement(X_31))))]]) ).
cnf(refute_0_583,plain,
join(X_31,complement(X_31)) = top,
inference(resolve,[$cnf( $equal(top,join(X_31,complement(X_31))) )],[refute_0_581,refute_0_582]) ).
cnf(refute_0_584,plain,
( join(X_31,complement(X_31)) != top
| join(X_31,join(complement(X_31),X_33)) != join(join(X_31,complement(X_31)),X_33)
| join(X_31,join(complement(X_31),X_33)) = join(top,X_33) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_31,join(complement(X_31),X_33)),join(join(X_31,complement(X_31)),X_33)) ),[1,0],$fot(top)]]) ).
cnf(refute_0_585,plain,
( join(X_31,join(complement(X_31),X_33)) != join(join(X_31,complement(X_31)),X_33)
| join(X_31,join(complement(X_31),X_33)) = join(top,X_33) ),
inference(resolve,[$cnf( $equal(join(X_31,complement(X_31)),top) )],[refute_0_583,refute_0_584]) ).
cnf(refute_0_586,plain,
join(X_31,join(complement(X_31),X_33)) = join(top,X_33),
inference(resolve,[$cnf( $equal(join(X_31,join(complement(X_31),X_33)),join(join(X_31,complement(X_31)),X_33)) )],[refute_0_580,refute_0_585]) ).
cnf(refute_0_587,plain,
join(top,join(complement(top),complement(complement(zero)))) = join(top,complement(complement(zero))),
inference(subst,[],[refute_0_586:[bind(X_31,$fot(top)),bind(X_33,$fot(complement(complement(zero))))]]) ).
cnf(refute_0_588,plain,
join(X_31,join(X_32,X_33)) = join(join(X_31,X_32),X_33),
inference(subst,[],[refute_0_461:[bind(X0,$fot(X_31)),bind(X1,$fot(X_32)),bind(X2,$fot(X_33))]]) ).
cnf(refute_0_589,plain,
join(X_32,X_31) = join(X_31,X_32),
inference(subst,[],[refute_0_1:[bind(X0,$fot(X_32)),bind(X1,$fot(X_31))]]) ).
cnf(refute_0_590,plain,
( join(X_32,X_31) != join(X_31,X_32)
| join(X_31,X_32) = join(X_32,X_31) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(X_32,X_31))),bind(Y,$fot(join(X_31,X_32)))]]) ).
cnf(refute_0_591,plain,
join(X_31,X_32) = join(X_32,X_31),
inference(resolve,[$cnf( $equal(join(X_32,X_31),join(X_31,X_32)) )],[refute_0_589,refute_0_590]) ).
cnf(refute_0_592,plain,
( join(X_31,X_32) != join(X_32,X_31)
| join(X_31,join(X_32,X_33)) != join(join(X_31,X_32),X_33)
| join(X_31,join(X_32,X_33)) = join(join(X_32,X_31),X_33) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_31,join(X_32,X_33)),join(join(X_31,X_32),X_33)) ),[1,0],$fot(join(X_32,X_31))]]) ).
cnf(refute_0_593,plain,
( join(X_31,join(X_32,X_33)) != join(join(X_31,X_32),X_33)
| join(X_31,join(X_32,X_33)) = join(join(X_32,X_31),X_33) ),
inference(resolve,[$cnf( $equal(join(X_31,X_32),join(X_32,X_31)) )],[refute_0_591,refute_0_592]) ).
cnf(refute_0_594,plain,
join(X_31,join(X_32,X_33)) = join(join(X_32,X_31),X_33),
inference(resolve,[$cnf( $equal(join(X_31,join(X_32,X_33)),join(join(X_31,X_32),X_33)) )],[refute_0_588,refute_0_593]) ).
cnf(refute_0_595,plain,
join(join(X_32,X_31),X_33) = join(X_32,join(X_31,X_33)),
inference(subst,[],[refute_0_463:[bind(X0,$fot(X_32)),bind(X1,$fot(X_31)),bind(X2,$fot(X_33))]]) ).
cnf(refute_0_596,plain,
( join(X_31,join(X_32,X_33)) != join(join(X_32,X_31),X_33)
| join(join(X_32,X_31),X_33) != join(X_32,join(X_31,X_33))
| join(X_31,join(X_32,X_33)) = join(X_32,join(X_31,X_33)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_31,join(X_32,X_33)),join(X_32,join(X_31,X_33))) ),[0],$fot(join(join(X_32,X_31),X_33))]]) ).
cnf(refute_0_597,plain,
( join(X_31,join(X_32,X_33)) != join(join(X_32,X_31),X_33)
| join(X_31,join(X_32,X_33)) = join(X_32,join(X_31,X_33)) ),
inference(resolve,[$cnf( $equal(join(join(X_32,X_31),X_33),join(X_32,join(X_31,X_33))) )],[refute_0_595,refute_0_596]) ).
cnf(refute_0_598,plain,
join(X_31,join(X_32,X_33)) = join(X_32,join(X_31,X_33)),
inference(resolve,[$cnf( $equal(join(X_31,join(X_32,X_33)),join(join(X_32,X_31),X_33)) )],[refute_0_594,refute_0_597]) ).
cnf(refute_0_599,plain,
( join(X_31,join(X_32,X_33)) != join(X_32,join(X_31,X_33))
| join(X_32,join(X_31,X_33)) = join(X_31,join(X_32,X_33)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(X_31,join(X_32,X_33)))),bind(Y,$fot(join(X_32,join(X_31,X_33))))]]) ).
cnf(refute_0_600,plain,
join(X_32,join(X_31,X_33)) = join(X_31,join(X_32,X_33)),
inference(resolve,[$cnf( $equal(join(X_31,join(X_32,X_33)),join(X_32,join(X_31,X_33))) )],[refute_0_598,refute_0_599]) ).
cnf(refute_0_601,plain,
join(complement(top),join(top,complement(complement(zero)))) = join(top,join(complement(top),complement(complement(zero)))),
inference(subst,[],[refute_0_600:[bind(X_31,$fot(top)),bind(X_32,$fot(complement(top))),bind(X_33,$fot(complement(complement(zero))))]]) ).
cnf(refute_0_602,plain,
( join(complement(top),join(top,complement(complement(zero)))) != join(top,join(complement(top),complement(complement(zero))))
| join(top,join(complement(top),complement(complement(zero)))) != join(top,complement(complement(zero)))
| join(complement(top),join(top,complement(complement(zero)))) = join(top,complement(complement(zero))) ),
inference(subst,[],[refute_0_25:[bind(X,$fot(join(complement(top),join(top,complement(complement(zero)))))),bind(Y,$fot(join(top,join(complement(top),complement(complement(zero)))))),bind(Z,$fot(join(top,complement(complement(zero)))))]]) ).
cnf(refute_0_603,plain,
( join(top,join(complement(top),complement(complement(zero)))) != join(top,complement(complement(zero)))
| join(complement(top),join(top,complement(complement(zero)))) = join(top,complement(complement(zero))) ),
inference(resolve,[$cnf( $equal(join(complement(top),join(top,complement(complement(zero)))),join(top,join(complement(top),complement(complement(zero))))) )],[refute_0_601,refute_0_602]) ).
cnf(refute_0_604,plain,
join(complement(top),join(top,complement(complement(zero)))) = join(top,complement(complement(zero))),
inference(resolve,[$cnf( $equal(join(top,join(complement(top),complement(complement(zero)))),join(top,complement(complement(zero)))) )],[refute_0_587,refute_0_603]) ).
cnf(refute_0_605,plain,
join(X_33,X_32) = join(X_32,X_33),
inference(subst,[],[refute_0_1:[bind(X0,$fot(X_33)),bind(X1,$fot(X_32))]]) ).
cnf(refute_0_606,plain,
( join(X_33,X_32) != join(X_32,X_33)
| join(X_32,X_33) = join(X_33,X_32) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(X_33,X_32))),bind(Y,$fot(join(X_32,X_33)))]]) ).
cnf(refute_0_607,plain,
join(X_32,X_33) = join(X_33,X_32),
inference(resolve,[$cnf( $equal(join(X_33,X_32),join(X_32,X_33)) )],[refute_0_605,refute_0_606]) ).
cnf(refute_0_608,plain,
( join(X_31,join(X_32,X_33)) != join(join(X_31,X_32),X_33)
| join(X_32,X_33) != join(X_33,X_32)
| join(X_31,join(X_33,X_32)) = join(join(X_31,X_32),X_33) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_31,join(X_32,X_33)),join(join(X_31,X_32),X_33)) ),[0,1],$fot(join(X_33,X_32))]]) ).
cnf(refute_0_609,plain,
( join(X_31,join(X_32,X_33)) != join(join(X_31,X_32),X_33)
| join(X_31,join(X_33,X_32)) = join(join(X_31,X_32),X_33) ),
inference(resolve,[$cnf( $equal(join(X_32,X_33),join(X_33,X_32)) )],[refute_0_607,refute_0_608]) ).
cnf(refute_0_610,plain,
join(X_31,join(X_33,X_32)) = join(join(X_31,X_32),X_33),
inference(resolve,[$cnf( $equal(join(X_31,join(X_32,X_33)),join(join(X_31,X_32),X_33)) )],[refute_0_588,refute_0_609]) ).
cnf(refute_0_611,plain,
join(join(X_31,X_32),X_33) = join(X_31,join(X_32,X_33)),
inference(subst,[],[refute_0_463:[bind(X0,$fot(X_31)),bind(X1,$fot(X_32)),bind(X2,$fot(X_33))]]) ).
cnf(refute_0_612,plain,
( join(X_31,join(X_33,X_32)) != join(join(X_31,X_32),X_33)
| join(join(X_31,X_32),X_33) != join(X_31,join(X_32,X_33))
| join(X_31,join(X_33,X_32)) = join(X_31,join(X_32,X_33)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_31,join(X_33,X_32)),join(X_31,join(X_32,X_33))) ),[0],$fot(join(join(X_31,X_32),X_33))]]) ).
cnf(refute_0_613,plain,
( join(X_31,join(X_33,X_32)) != join(join(X_31,X_32),X_33)
| join(X_31,join(X_33,X_32)) = join(X_31,join(X_32,X_33)) ),
inference(resolve,[$cnf( $equal(join(join(X_31,X_32),X_33),join(X_31,join(X_32,X_33))) )],[refute_0_611,refute_0_612]) ).
cnf(refute_0_614,plain,
join(X_31,join(X_33,X_32)) = join(X_31,join(X_32,X_33)),
inference(resolve,[$cnf( $equal(join(X_31,join(X_33,X_32)),join(join(X_31,X_32),X_33)) )],[refute_0_610,refute_0_613]) ).
cnf(refute_0_615,plain,
( join(X_31,join(X_33,X_32)) != join(X_31,join(X_32,X_33))
| join(X_31,join(X_32,X_33)) = join(X_31,join(X_33,X_32)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(X_31,join(X_33,X_32)))),bind(Y,$fot(join(X_31,join(X_32,X_33))))]]) ).
cnf(refute_0_616,plain,
join(X_31,join(X_32,X_33)) = join(X_31,join(X_33,X_32)),
inference(resolve,[$cnf( $equal(join(X_31,join(X_33,X_32)),join(X_31,join(X_32,X_33))) )],[refute_0_614,refute_0_615]) ).
cnf(refute_0_617,plain,
join(complement(top),join(complement(complement(zero)),top)) = join(complement(top),join(top,complement(complement(zero)))),
inference(subst,[],[refute_0_616:[bind(X_31,$fot(complement(top))),bind(X_32,$fot(complement(complement(zero)))),bind(X_33,$fot(top))]]) ).
cnf(refute_0_618,plain,
( join(complement(top),join(complement(complement(zero)),top)) != join(complement(top),join(top,complement(complement(zero))))
| join(complement(top),join(top,complement(complement(zero)))) != join(top,complement(complement(zero)))
| join(complement(top),join(complement(complement(zero)),top)) = join(top,complement(complement(zero))) ),
inference(subst,[],[refute_0_25:[bind(X,$fot(join(complement(top),join(complement(complement(zero)),top)))),bind(Y,$fot(join(complement(top),join(top,complement(complement(zero)))))),bind(Z,$fot(join(top,complement(complement(zero)))))]]) ).
cnf(refute_0_619,plain,
( join(complement(top),join(top,complement(complement(zero)))) != join(top,complement(complement(zero)))
| join(complement(top),join(complement(complement(zero)),top)) = join(top,complement(complement(zero))) ),
inference(resolve,[$cnf( $equal(join(complement(top),join(complement(complement(zero)),top)),join(complement(top),join(top,complement(complement(zero))))) )],[refute_0_617,refute_0_618]) ).
cnf(refute_0_620,plain,
join(complement(top),join(complement(complement(zero)),top)) = join(top,complement(complement(zero))),
inference(resolve,[$cnf( $equal(join(complement(top),join(top,complement(complement(zero)))),join(top,complement(complement(zero)))) )],[refute_0_604,refute_0_619]) ).
cnf(refute_0_621,plain,
( join(complement(top),join(complement(complement(zero)),top)) != join(top,complement(complement(zero)))
| top != join(complement(top),join(complement(complement(zero)),top))
| top = join(top,complement(complement(zero))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(top),join(complement(complement(zero)),top))) ),[1],$fot(join(top,complement(complement(zero))))]]) ).
cnf(refute_0_622,plain,
( top != join(complement(top),join(complement(complement(zero)),top))
| top = join(top,complement(complement(zero))) ),
inference(resolve,[$cnf( $equal(join(complement(top),join(complement(complement(zero)),top)),join(top,complement(complement(zero)))) )],[refute_0_620,refute_0_621]) ).
cnf(refute_0_623,plain,
top = join(top,complement(complement(zero))),
inference(resolve,[$cnf( $equal(top,join(complement(top),join(complement(complement(zero)),top))) )],[refute_0_579,refute_0_622]) ).
cnf(refute_0_624,plain,
( top != join(top,complement(complement(zero)))
| join(top,complement(complement(zero))) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(top,complement(complement(zero)))))]]) ).
cnf(refute_0_625,plain,
join(top,complement(complement(zero))) = top,
inference(resolve,[$cnf( $equal(top,join(top,complement(complement(zero)))) )],[refute_0_623,refute_0_624]) ).
cnf(refute_0_626,plain,
( complement(zero) != join(meet(complement(zero),top),complement(join(top,complement(complement(zero)))))
| join(top,complement(complement(zero))) != top
| complement(zero) = join(meet(complement(zero),top),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(zero),join(meet(complement(zero),top),complement(join(top,complement(complement(zero)))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_0_627,plain,
( complement(zero) != join(meet(complement(zero),top),complement(join(top,complement(complement(zero)))))
| complement(zero) = join(meet(complement(zero),top),complement(top)) ),
inference(resolve,[$cnf( $equal(join(top,complement(complement(zero))),top) )],[refute_0_625,refute_0_626]) ).
cnf(refute_0_628,plain,
complement(zero) = join(meet(complement(zero),top),complement(top)),
inference(resolve,[$cnf( $equal(complement(zero),join(meet(complement(zero),top),complement(join(top,complement(complement(zero)))))) )],[refute_0_456,refute_0_627]) ).
cnf(refute_0_629,plain,
meet(complement(zero),top) = meet(top,complement(zero)),
inference(subst,[],[refute_0_554:[bind(X0,$fot(complement(zero)))]]) ).
cnf(refute_0_630,plain,
( meet(complement(zero),top) != meet(top,complement(zero))
| meet(top,complement(zero)) != top
| meet(complement(zero),top) = top ),
inference(subst,[],[refute_0_25:[bind(X,$fot(meet(complement(zero),top))),bind(Y,$fot(meet(top,complement(zero)))),bind(Z,$fot(top))]]) ).
cnf(refute_0_631,plain,
( meet(top,complement(zero)) != top
| meet(complement(zero),top) = top ),
inference(resolve,[$cnf( $equal(meet(complement(zero),top),meet(top,complement(zero))) )],[refute_0_629,refute_0_630]) ).
cnf(refute_0_632,plain,
meet(complement(zero),top) = top,
inference(resolve,[$cnf( $equal(meet(top,complement(zero)),top) )],[refute_0_576,refute_0_631]) ).
cnf(refute_0_633,plain,
join(zero,meet(complement(zero),top)) = join(zero,meet(complement(zero),top)),
introduced(tautology,[refl,[$fot(join(zero,meet(complement(zero),top)))]]) ).
cnf(refute_0_634,plain,
( join(zero,meet(complement(zero),top)) != join(zero,meet(complement(zero),top))
| meet(complement(zero),top) != top
| join(zero,meet(complement(zero),top)) = join(zero,top) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(complement(zero),top)),join(zero,meet(complement(zero),top))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_635,plain,
( meet(complement(zero),top) != top
| join(zero,meet(complement(zero),top)) = join(zero,top) ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(zero),top)),join(zero,meet(complement(zero),top))) )],[refute_0_633,refute_0_634]) ).
cnf(refute_0_636,plain,
join(zero,meet(complement(zero),top)) = join(zero,top),
inference(resolve,[$cnf( $equal(meet(complement(zero),top),top) )],[refute_0_632,refute_0_635]) ).
cnf(refute_0_637,plain,
join(complement(top),meet(complement(zero),top)) = join(complement(top),meet(complement(zero),top)),
introduced(tautology,[refl,[$fot(join(complement(top),meet(complement(zero),top)))]]) ).
cnf(refute_0_638,plain,
( complement(top) != zero
| join(complement(top),meet(complement(zero),top)) != join(complement(top),meet(complement(zero),top))
| join(complement(top),meet(complement(zero),top)) = join(zero,meet(complement(zero),top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(complement(zero),top)),join(complement(top),meet(complement(zero),top))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_639,plain,
( complement(top) != zero
| join(complement(top),meet(complement(zero),top)) = join(zero,meet(complement(zero),top)) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(zero),top)),join(complement(top),meet(complement(zero),top))) )],[refute_0_637,refute_0_638]) ).
cnf(refute_0_640,plain,
join(complement(top),meet(complement(zero),top)) = join(zero,meet(complement(zero),top)),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_165,refute_0_639]) ).
cnf(refute_0_641,plain,
( join(complement(top),meet(complement(zero),top)) != join(zero,meet(complement(zero),top))
| join(zero,meet(complement(zero),top)) != join(zero,top)
| join(complement(top),meet(complement(zero),top)) = join(zero,top) ),
inference(subst,[],[refute_0_25:[bind(X,$fot(join(complement(top),meet(complement(zero),top)))),bind(Y,$fot(join(zero,meet(complement(zero),top)))),bind(Z,$fot(join(zero,top)))]]) ).
cnf(refute_0_642,plain,
( join(zero,meet(complement(zero),top)) != join(zero,top)
| join(complement(top),meet(complement(zero),top)) = join(zero,top) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(zero),top)),join(zero,meet(complement(zero),top))) )],[refute_0_640,refute_0_641]) ).
cnf(refute_0_643,plain,
join(complement(top),meet(complement(zero),top)) = join(zero,top),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(zero),top)),join(zero,top)) )],[refute_0_636,refute_0_642]) ).
cnf(refute_0_644,plain,
( join(complement(top),meet(complement(zero),top)) != join(zero,top)
| join(zero,top) != top
| join(complement(top),meet(complement(zero),top)) = top ),
inference(subst,[],[refute_0_25:[bind(X,$fot(join(complement(top),meet(complement(zero),top)))),bind(Y,$fot(join(zero,top))),bind(Z,$fot(top))]]) ).
cnf(refute_0_645,plain,
( join(zero,top) != top
| join(complement(top),meet(complement(zero),top)) = top ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(zero),top)),join(zero,top)) )],[refute_0_643,refute_0_644]) ).
cnf(refute_0_646,plain,
join(complement(top),meet(complement(zero),top)) = top,
inference(resolve,[$cnf( $equal(join(zero,top),top) )],[refute_0_503,refute_0_645]) ).
cnf(refute_0_647,plain,
join(meet(complement(zero),top),complement(top)) = join(complement(top),meet(complement(zero),top)),
inference(subst,[],[refute_0_6:[bind(X0,$fot(complement(top))),bind(X1,$fot(meet(complement(zero),top)))]]) ).
cnf(refute_0_648,plain,
( join(complement(top),meet(complement(zero),top)) != top
| join(meet(complement(zero),top),complement(top)) != join(complement(top),meet(complement(zero),top))
| join(meet(complement(zero),top),complement(top)) = top ),
inference(subst,[],[refute_0_25:[bind(X,$fot(join(meet(complement(zero),top),complement(top)))),bind(Y,$fot(join(complement(top),meet(complement(zero),top)))),bind(Z,$fot(top))]]) ).
cnf(refute_0_649,plain,
( join(complement(top),meet(complement(zero),top)) != top
| join(meet(complement(zero),top),complement(top)) = top ),
inference(resolve,[$cnf( $equal(join(meet(complement(zero),top),complement(top)),join(complement(top),meet(complement(zero),top))) )],[refute_0_647,refute_0_648]) ).
cnf(refute_0_650,plain,
join(meet(complement(zero),top),complement(top)) = top,
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(zero),top)),top) )],[refute_0_646,refute_0_649]) ).
cnf(refute_0_651,plain,
( complement(zero) != join(meet(complement(zero),top),complement(top))
| join(meet(complement(zero),top),complement(top)) != top
| complement(zero) = top ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(zero),top) ),[0],$fot(join(meet(complement(zero),top),complement(top)))]]) ).
cnf(refute_0_652,plain,
( complement(zero) != join(meet(complement(zero),top),complement(top))
| complement(zero) = top ),
inference(resolve,[$cnf( $equal(join(meet(complement(zero),top),complement(top)),top) )],[refute_0_650,refute_0_651]) ).
cnf(refute_0_653,plain,
complement(zero) = top,
inference(resolve,[$cnf( $equal(complement(zero),join(meet(complement(zero),top),complement(top))) )],[refute_0_628,refute_0_652]) ).
cnf(refute_0_654,plain,
( complement(zero) != top
| meet(zero,X1) != complement(join(complement(zero),complement(X1)))
| meet(zero,X1) = complement(join(top,complement(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(zero,X1),complement(join(complement(zero),complement(X1)))) ),[1,0,0],$fot(top)]]) ).
cnf(refute_0_655,plain,
( meet(zero,X1) != complement(join(complement(zero),complement(X1)))
| meet(zero,X1) = complement(join(top,complement(X1))) ),
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_653,refute_0_654]) ).
cnf(refute_0_656,plain,
meet(zero,X1) = complement(join(top,complement(X1))),
inference(resolve,[$cnf( $equal(meet(zero,X1),complement(join(complement(zero),complement(X1)))) )],[refute_0_455,refute_0_655]) ).
cnf(refute_0_657,plain,
top = join(complement(X_39),join(complement(X_39),meet(X_39,X_39))),
inference(subst,[],[refute_0_467:[bind(X_40,$fot(X_39))]]) ).
cnf(refute_0_658,plain,
top = join(meet(X_83,X_83),complement(meet(X_83,X_83))),
inference(subst,[],[refute_0_108:[bind(X0,$fot(meet(X_83,X_83)))]]) ).
cnf(refute_0_659,plain,
( converse(one) != one
| join(complement(X_82),composition(converse(one),complement(composition(one,X_82)))) != complement(X_82)
| join(complement(X_82),composition(one,complement(composition(one,X_82)))) = complement(X_82) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_82),composition(converse(one),complement(composition(one,X_82)))),complement(X_82)) ),[0,1,0],$fot(one)]]) ).
cnf(refute_0_660,plain,
( join(complement(X_82),composition(converse(one),complement(composition(one,X_82)))) != complement(X_82)
| join(complement(X_82),composition(one,complement(composition(one,X_82)))) = complement(X_82) ),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_74,refute_0_659]) ).
cnf(refute_0_661,plain,
join(complement(X_82),composition(one,complement(composition(one,X_82)))) = complement(X_82),
inference(resolve,[$cnf( $equal(join(complement(X_82),composition(converse(one),complement(composition(one,X_82)))),complement(X_82)) )],[refute_0_375,refute_0_660]) ).
cnf(refute_0_662,plain,
join(complement(X_82),complement(X_82)) = complement(meet(X_82,X_82)),
inference(subst,[],[refute_0_248:[bind(X_39,$fot(X_82)),bind(X_40,$fot(X_82))]]) ).
cnf(refute_0_663,plain,
complement(composition(one,X_82)) = complement(composition(one,X_82)),
introduced(tautology,[refl,[$fot(complement(composition(one,X_82)))]]) ).
cnf(refute_0_664,plain,
( complement(composition(one,X_82)) != complement(composition(one,X_82))
| composition(one,X_82) != X_82
| complement(composition(one,X_82)) = complement(X_82) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(one,X_82)),complement(composition(one,X_82))) ),[1,0],$fot(X_82)]]) ).
cnf(refute_0_665,plain,
( composition(one,X_82) != X_82
| complement(composition(one,X_82)) = complement(X_82) ),
inference(resolve,[$cnf( $equal(complement(composition(one,X_82)),complement(composition(one,X_82))) )],[refute_0_663,refute_0_664]) ).
cnf(refute_0_666,plain,
complement(composition(one,X_82)) = complement(X_82),
inference(resolve,[$cnf( $equal(composition(one,X_82),X_82) )],[refute_0_378,refute_0_665]) ).
cnf(refute_0_667,plain,
( X_6 != composition(one,X_6)
| composition(one,X_6) = X_6 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(X_6)),bind(Y,$fot(composition(one,X_6)))]]) ).
cnf(refute_0_668,plain,
composition(one,X_6) = X_6,
inference(resolve,[$cnf( $equal(X_6,composition(one,X_6)) )],[refute_0_81,refute_0_667]) ).
cnf(refute_0_669,plain,
composition(one,complement(composition(one,X_82))) = complement(composition(one,X_82)),
inference(subst,[],[refute_0_668:[bind(X_6,$fot(complement(composition(one,X_82))))]]) ).
cnf(refute_0_670,plain,
( complement(composition(one,X_82)) != complement(X_82)
| composition(one,complement(composition(one,X_82))) != complement(composition(one,X_82))
| composition(one,complement(composition(one,X_82))) = complement(X_82) ),
inference(subst,[],[refute_0_25:[bind(X,$fot(composition(one,complement(composition(one,X_82))))),bind(Y,$fot(complement(composition(one,X_82)))),bind(Z,$fot(complement(X_82)))]]) ).
cnf(refute_0_671,plain,
( complement(composition(one,X_82)) != complement(X_82)
| composition(one,complement(composition(one,X_82))) = complement(X_82) ),
inference(resolve,[$cnf( $equal(composition(one,complement(composition(one,X_82))),complement(composition(one,X_82))) )],[refute_0_669,refute_0_670]) ).
cnf(refute_0_672,plain,
composition(one,complement(composition(one,X_82))) = complement(X_82),
inference(resolve,[$cnf( $equal(complement(composition(one,X_82)),complement(X_82)) )],[refute_0_666,refute_0_671]) ).
cnf(refute_0_673,plain,
join(complement(X_82),composition(one,complement(composition(one,X_82)))) = join(complement(X_82),composition(one,complement(composition(one,X_82)))),
introduced(tautology,[refl,[$fot(join(complement(X_82),composition(one,complement(composition(one,X_82)))))]]) ).
cnf(refute_0_674,plain,
( composition(one,complement(composition(one,X_82))) != complement(X_82)
| join(complement(X_82),composition(one,complement(composition(one,X_82)))) != join(complement(X_82),composition(one,complement(composition(one,X_82))))
| join(complement(X_82),composition(one,complement(composition(one,X_82)))) = join(complement(X_82),complement(X_82)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_82),composition(one,complement(composition(one,X_82)))),join(complement(X_82),composition(one,complement(composition(one,X_82))))) ),[1,1],$fot(complement(X_82))]]) ).
cnf(refute_0_675,plain,
( composition(one,complement(composition(one,X_82))) != complement(X_82)
| join(complement(X_82),composition(one,complement(composition(one,X_82)))) = join(complement(X_82),complement(X_82)) ),
inference(resolve,[$cnf( $equal(join(complement(X_82),composition(one,complement(composition(one,X_82)))),join(complement(X_82),composition(one,complement(composition(one,X_82))))) )],[refute_0_673,refute_0_674]) ).
cnf(refute_0_676,plain,
join(complement(X_82),composition(one,complement(composition(one,X_82)))) = join(complement(X_82),complement(X_82)),
inference(resolve,[$cnf( $equal(composition(one,complement(composition(one,X_82))),complement(X_82)) )],[refute_0_672,refute_0_675]) ).
cnf(refute_0_677,plain,
( join(complement(X_82),complement(X_82)) != complement(meet(X_82,X_82))
| join(complement(X_82),composition(one,complement(composition(one,X_82)))) != join(complement(X_82),complement(X_82))
| join(complement(X_82),composition(one,complement(composition(one,X_82)))) = complement(meet(X_82,X_82)) ),
inference(subst,[],[refute_0_25:[bind(X,$fot(join(complement(X_82),composition(one,complement(composition(one,X_82)))))),bind(Y,$fot(join(complement(X_82),complement(X_82)))),bind(Z,$fot(complement(meet(X_82,X_82))))]]) ).
cnf(refute_0_678,plain,
( join(complement(X_82),complement(X_82)) != complement(meet(X_82,X_82))
| join(complement(X_82),composition(one,complement(composition(one,X_82)))) = complement(meet(X_82,X_82)) ),
inference(resolve,[$cnf( $equal(join(complement(X_82),composition(one,complement(composition(one,X_82)))),join(complement(X_82),complement(X_82))) )],[refute_0_676,refute_0_677]) ).
cnf(refute_0_679,plain,
join(complement(X_82),composition(one,complement(composition(one,X_82)))) = complement(meet(X_82,X_82)),
inference(resolve,[$cnf( $equal(join(complement(X_82),complement(X_82)),complement(meet(X_82,X_82))) )],[refute_0_662,refute_0_678]) ).
cnf(refute_0_680,plain,
( join(complement(X_82),composition(one,complement(composition(one,X_82)))) != complement(X_82)
| join(complement(X_82),composition(one,complement(composition(one,X_82)))) != complement(meet(X_82,X_82))
| complement(meet(X_82,X_82)) = complement(X_82) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_82),composition(one,complement(composition(one,X_82)))),complement(X_82)) ),[0],$fot(complement(meet(X_82,X_82)))]]) ).
cnf(refute_0_681,plain,
( join(complement(X_82),composition(one,complement(composition(one,X_82)))) != complement(X_82)
| complement(meet(X_82,X_82)) = complement(X_82) ),
inference(resolve,[$cnf( $equal(join(complement(X_82),composition(one,complement(composition(one,X_82)))),complement(meet(X_82,X_82))) )],[refute_0_679,refute_0_680]) ).
cnf(refute_0_682,plain,
complement(meet(X_82,X_82)) = complement(X_82),
inference(resolve,[$cnf( $equal(join(complement(X_82),composition(one,complement(composition(one,X_82)))),complement(X_82)) )],[refute_0_661,refute_0_681]) ).
cnf(refute_0_683,plain,
complement(meet(X_83,X_83)) = complement(X_83),
inference(subst,[],[refute_0_682:[bind(X_82,$fot(X_83))]]) ).
cnf(refute_0_684,plain,
( complement(meet(X_83,X_83)) != complement(X_83)
| top != join(meet(X_83,X_83),complement(meet(X_83,X_83)))
| top = join(meet(X_83,X_83),complement(X_83)) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(meet(X_83,X_83),complement(meet(X_83,X_83)))) ),[1,1],$fot(complement(X_83))]]) ).
cnf(refute_0_685,plain,
( top != join(meet(X_83,X_83),complement(meet(X_83,X_83)))
| top = join(meet(X_83,X_83),complement(X_83)) ),
inference(resolve,[$cnf( $equal(complement(meet(X_83,X_83)),complement(X_83)) )],[refute_0_683,refute_0_684]) ).
cnf(refute_0_686,plain,
top = join(meet(X_83,X_83),complement(X_83)),
inference(resolve,[$cnf( $equal(top,join(meet(X_83,X_83),complement(meet(X_83,X_83)))) )],[refute_0_658,refute_0_685]) ).
cnf(refute_0_687,plain,
join(meet(X_83,X_83),complement(X_83)) = join(complement(X_83),meet(X_83,X_83)),
inference(subst,[],[refute_0_6:[bind(X0,$fot(complement(X_83))),bind(X1,$fot(meet(X_83,X_83)))]]) ).
cnf(refute_0_688,plain,
( join(meet(X_83,X_83),complement(X_83)) != join(complement(X_83),meet(X_83,X_83))
| top != join(meet(X_83,X_83),complement(X_83))
| top = join(complement(X_83),meet(X_83,X_83)) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(meet(X_83,X_83),complement(X_83))) ),[1],$fot(join(complement(X_83),meet(X_83,X_83)))]]) ).
cnf(refute_0_689,plain,
( top != join(meet(X_83,X_83),complement(X_83))
| top = join(complement(X_83),meet(X_83,X_83)) ),
inference(resolve,[$cnf( $equal(join(meet(X_83,X_83),complement(X_83)),join(complement(X_83),meet(X_83,X_83))) )],[refute_0_687,refute_0_688]) ).
cnf(refute_0_690,plain,
top = join(complement(X_83),meet(X_83,X_83)),
inference(resolve,[$cnf( $equal(top,join(meet(X_83,X_83),complement(X_83))) )],[refute_0_686,refute_0_689]) ).
cnf(refute_0_691,plain,
top = join(complement(X_39),meet(X_39,X_39)),
inference(subst,[],[refute_0_690:[bind(X_83,$fot(X_39))]]) ).
cnf(refute_0_692,plain,
( top != join(complement(X_39),meet(X_39,X_39))
| join(complement(X_39),meet(X_39,X_39)) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(complement(X_39),meet(X_39,X_39))))]]) ).
cnf(refute_0_693,plain,
join(complement(X_39),meet(X_39,X_39)) = top,
inference(resolve,[$cnf( $equal(top,join(complement(X_39),meet(X_39,X_39))) )],[refute_0_691,refute_0_692]) ).
cnf(refute_0_694,plain,
( join(complement(X_39),meet(X_39,X_39)) != top
| top != join(complement(X_39),join(complement(X_39),meet(X_39,X_39)))
| top = join(complement(X_39),top) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(X_39),join(complement(X_39),meet(X_39,X_39)))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_695,plain,
( top != join(complement(X_39),join(complement(X_39),meet(X_39,X_39)))
| top = join(complement(X_39),top) ),
inference(resolve,[$cnf( $equal(join(complement(X_39),meet(X_39,X_39)),top) )],[refute_0_693,refute_0_694]) ).
cnf(refute_0_696,plain,
top = join(complement(X_39),top),
inference(resolve,[$cnf( $equal(top,join(complement(X_39),join(complement(X_39),meet(X_39,X_39)))) )],[refute_0_657,refute_0_695]) ).
cnf(refute_0_697,plain,
join(complement(X_39),top) = join(top,complement(X_39)),
inference(subst,[],[refute_0_6:[bind(X0,$fot(top)),bind(X1,$fot(complement(X_39)))]]) ).
cnf(refute_0_698,plain,
( join(complement(X_39),top) != join(top,complement(X_39))
| top != join(complement(X_39),top)
| top = join(top,complement(X_39)) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(X_39),top)) ),[1],$fot(join(top,complement(X_39)))]]) ).
cnf(refute_0_699,plain,
( top != join(complement(X_39),top)
| top = join(top,complement(X_39)) ),
inference(resolve,[$cnf( $equal(join(complement(X_39),top),join(top,complement(X_39))) )],[refute_0_697,refute_0_698]) ).
cnf(refute_0_700,plain,
top = join(top,complement(X_39)),
inference(resolve,[$cnf( $equal(top,join(complement(X_39),top)) )],[refute_0_696,refute_0_699]) ).
cnf(refute_0_701,plain,
( top != join(top,complement(X_39))
| join(top,complement(X_39)) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(top,complement(X_39))))]]) ).
cnf(refute_0_702,plain,
join(top,complement(X_39)) = top,
inference(resolve,[$cnf( $equal(top,join(top,complement(X_39))) )],[refute_0_700,refute_0_701]) ).
cnf(refute_0_703,plain,
join(top,complement(X1)) = top,
inference(subst,[],[refute_0_702:[bind(X_39,$fot(X1))]]) ).
cnf(refute_0_704,plain,
complement(join(top,complement(X1))) = complement(join(top,complement(X1))),
introduced(tautology,[refl,[$fot(complement(join(top,complement(X1))))]]) ).
cnf(refute_0_705,plain,
( complement(join(top,complement(X1))) != complement(join(top,complement(X1)))
| join(top,complement(X1)) != top
| complement(join(top,complement(X1))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(top,complement(X1))),complement(join(top,complement(X1)))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_706,plain,
( join(top,complement(X1)) != top
| complement(join(top,complement(X1))) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(join(top,complement(X1))),complement(join(top,complement(X1)))) )],[refute_0_704,refute_0_705]) ).
cnf(refute_0_707,plain,
complement(join(top,complement(X1))) = complement(top),
inference(resolve,[$cnf( $equal(join(top,complement(X1)),top) )],[refute_0_703,refute_0_706]) ).
cnf(refute_0_708,plain,
( complement(join(top,complement(X1))) != complement(top)
| complement(top) != zero
| complement(join(top,complement(X1))) = zero ),
inference(subst,[],[refute_0_25:[bind(X,$fot(complement(join(top,complement(X1))))),bind(Y,$fot(complement(top))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_709,plain,
( complement(top) != zero
| complement(join(top,complement(X1))) = zero ),
inference(resolve,[$cnf( $equal(complement(join(top,complement(X1))),complement(top)) )],[refute_0_707,refute_0_708]) ).
cnf(refute_0_710,plain,
complement(join(top,complement(X1))) = zero,
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_165,refute_0_709]) ).
cnf(refute_0_711,plain,
( complement(join(top,complement(X1))) != zero
| meet(zero,X1) != complement(join(top,complement(X1)))
| meet(zero,X1) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(zero,X1),complement(join(top,complement(X1)))) ),[1],$fot(zero)]]) ).
cnf(refute_0_712,plain,
( meet(zero,X1) != complement(join(top,complement(X1)))
| meet(zero,X1) = zero ),
inference(resolve,[$cnf( $equal(complement(join(top,complement(X1))),zero) )],[refute_0_710,refute_0_711]) ).
cnf(refute_0_713,plain,
meet(zero,X1) = zero,
inference(resolve,[$cnf( $equal(meet(zero,X1),complement(join(top,complement(X1)))) )],[refute_0_656,refute_0_712]) ).
cnf(refute_0_714,plain,
meet(zero,X_64) = zero,
inference(subst,[],[refute_0_713:[bind(X1,$fot(X_64))]]) ).
cnf(refute_0_715,plain,
join(meet(top,X_64),meet(zero,X_64)) = join(meet(top,X_64),meet(zero,X_64)),
introduced(tautology,[refl,[$fot(join(meet(top,X_64),meet(zero,X_64)))]]) ).
cnf(refute_0_716,plain,
( join(meet(top,X_64),meet(zero,X_64)) != join(meet(top,X_64),meet(zero,X_64))
| meet(zero,X_64) != zero
| join(meet(top,X_64),meet(zero,X_64)) = join(meet(top,X_64),zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(top,X_64),meet(zero,X_64)),join(meet(top,X_64),meet(zero,X_64))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_717,plain,
( meet(zero,X_64) != zero
| join(meet(top,X_64),meet(zero,X_64)) = join(meet(top,X_64),zero) ),
inference(resolve,[$cnf( $equal(join(meet(top,X_64),meet(zero,X_64)),join(meet(top,X_64),meet(zero,X_64))) )],[refute_0_715,refute_0_716]) ).
cnf(refute_0_718,plain,
join(meet(top,X_64),meet(zero,X_64)) = join(meet(top,X_64),zero),
inference(resolve,[$cnf( $equal(meet(zero,X_64),zero) )],[refute_0_714,refute_0_717]) ).
cnf(refute_0_719,plain,
( join(meet(top,X_64),meet(zero,X_64)) != join(meet(top,X_64),zero)
| join(meet(top,X_64),zero) != join(zero,meet(top,X_64))
| join(meet(top,X_64),meet(zero,X_64)) = join(zero,meet(top,X_64)) ),
inference(subst,[],[refute_0_25:[bind(X,$fot(join(meet(top,X_64),meet(zero,X_64)))),bind(Y,$fot(join(meet(top,X_64),zero))),bind(Z,$fot(join(zero,meet(top,X_64))))]]) ).
cnf(refute_0_720,plain,
( join(meet(top,X_64),zero) != join(zero,meet(top,X_64))
| join(meet(top,X_64),meet(zero,X_64)) = join(zero,meet(top,X_64)) ),
inference(resolve,[$cnf( $equal(join(meet(top,X_64),meet(zero,X_64)),join(meet(top,X_64),zero)) )],[refute_0_718,refute_0_719]) ).
cnf(refute_0_721,plain,
join(meet(top,X_64),meet(zero,X_64)) = join(zero,meet(top,X_64)),
inference(resolve,[$cnf( $equal(join(meet(top,X_64),zero),join(zero,meet(top,X_64))) )],[refute_0_454,refute_0_720]) ).
cnf(refute_0_722,plain,
( X_64 != join(meet(top,X_64),meet(zero,X_64))
| join(meet(top,X_64),meet(zero,X_64)) != join(zero,meet(top,X_64))
| X_64 = join(zero,meet(top,X_64)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_64,join(zero,meet(top,X_64))) ),[0],$fot(join(meet(top,X_64),meet(zero,X_64)))]]) ).
cnf(refute_0_723,plain,
( X_64 != join(meet(top,X_64),meet(zero,X_64))
| X_64 = join(zero,meet(top,X_64)) ),
inference(resolve,[$cnf( $equal(join(meet(top,X_64),meet(zero,X_64)),join(zero,meet(top,X_64))) )],[refute_0_721,refute_0_722]) ).
cnf(refute_0_724,plain,
X_64 = join(zero,meet(top,X_64)),
inference(resolve,[$cnf( $equal(X_64,join(meet(top,X_64),meet(zero,X_64))) )],[refute_0_453,refute_0_723]) ).
cnf(refute_0_725,plain,
X_14 = join(meet(X_14,complement(X_14)),complement(join(complement(X_14),complement(X_14)))),
inference(subst,[],[refute_0_31:[bind(X0,$fot(X_14)),bind(X1,$fot(complement(X_14)))]]) ).
cnf(refute_0_726,plain,
zero = meet(X_14,complement(X_14)),
inference(subst,[],[refute_0_139:[bind(X0,$fot(X_14))]]) ).
cnf(refute_0_727,plain,
( zero != meet(X_14,complement(X_14))
| meet(X_14,complement(X_14)) = zero ),
inference(subst,[],[refute_0_4:[bind(X,$fot(zero)),bind(Y,$fot(meet(X_14,complement(X_14))))]]) ).
cnf(refute_0_728,plain,
meet(X_14,complement(X_14)) = zero,
inference(resolve,[$cnf( $equal(zero,meet(X_14,complement(X_14))) )],[refute_0_726,refute_0_727]) ).
cnf(refute_0_729,plain,
( X_14 != join(meet(X_14,complement(X_14)),complement(join(complement(X_14),complement(X_14))))
| meet(X_14,complement(X_14)) != zero
| X_14 = join(zero,complement(join(complement(X_14),complement(X_14)))) ),
introduced(tautology,[equality,[$cnf( $equal(X_14,join(meet(X_14,complement(X_14)),complement(join(complement(X_14),complement(X_14))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_730,plain,
( X_14 != join(meet(X_14,complement(X_14)),complement(join(complement(X_14),complement(X_14))))
| X_14 = join(zero,complement(join(complement(X_14),complement(X_14)))) ),
inference(resolve,[$cnf( $equal(meet(X_14,complement(X_14)),zero) )],[refute_0_728,refute_0_729]) ).
cnf(refute_0_731,plain,
X_14 = join(zero,complement(join(complement(X_14),complement(X_14)))),
inference(resolve,[$cnf( $equal(X_14,join(meet(X_14,complement(X_14)),complement(join(complement(X_14),complement(X_14))))) )],[refute_0_725,refute_0_730]) ).
cnf(refute_0_732,plain,
complement(join(complement(X_14),complement(X_14))) = meet(X_14,X_14),
inference(subst,[],[refute_0_19:[bind(X0,$fot(X_14)),bind(X1,$fot(X_14))]]) ).
cnf(refute_0_733,plain,
join(zero,complement(join(complement(X_14),complement(X_14)))) = join(zero,complement(join(complement(X_14),complement(X_14)))),
introduced(tautology,[refl,[$fot(join(zero,complement(join(complement(X_14),complement(X_14)))))]]) ).
cnf(refute_0_734,plain,
( complement(join(complement(X_14),complement(X_14))) != meet(X_14,X_14)
| join(zero,complement(join(complement(X_14),complement(X_14)))) != join(zero,complement(join(complement(X_14),complement(X_14))))
| join(zero,complement(join(complement(X_14),complement(X_14)))) = join(zero,meet(X_14,X_14)) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,complement(join(complement(X_14),complement(X_14)))),join(zero,complement(join(complement(X_14),complement(X_14))))) ),[1,1],$fot(meet(X_14,X_14))]]) ).
cnf(refute_0_735,plain,
( complement(join(complement(X_14),complement(X_14))) != meet(X_14,X_14)
| join(zero,complement(join(complement(X_14),complement(X_14)))) = join(zero,meet(X_14,X_14)) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(complement(X_14),complement(X_14)))),join(zero,complement(join(complement(X_14),complement(X_14))))) )],[refute_0_733,refute_0_734]) ).
cnf(refute_0_736,plain,
join(zero,complement(join(complement(X_14),complement(X_14)))) = join(zero,meet(X_14,X_14)),
inference(resolve,[$cnf( $equal(complement(join(complement(X_14),complement(X_14))),meet(X_14,X_14)) )],[refute_0_732,refute_0_735]) ).
cnf(refute_0_737,plain,
( X_14 != join(zero,complement(join(complement(X_14),complement(X_14))))
| join(zero,complement(join(complement(X_14),complement(X_14)))) != join(zero,meet(X_14,X_14))
| X_14 = join(zero,meet(X_14,X_14)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_14,join(zero,meet(X_14,X_14))) ),[0],$fot(join(zero,complement(join(complement(X_14),complement(X_14)))))]]) ).
cnf(refute_0_738,plain,
( X_14 != join(zero,complement(join(complement(X_14),complement(X_14))))
| X_14 = join(zero,meet(X_14,X_14)) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(complement(X_14),complement(X_14)))),join(zero,meet(X_14,X_14))) )],[refute_0_736,refute_0_737]) ).
cnf(refute_0_739,plain,
X_14 = join(zero,meet(X_14,X_14)),
inference(resolve,[$cnf( $equal(X_14,join(zero,complement(join(complement(X_14),complement(X_14))))) )],[refute_0_731,refute_0_738]) ).
cnf(refute_0_740,plain,
meet(X_88,X_88) = join(meet(complement(X_88),meet(X_88,X_88)),complement(join(complement(X_88),complement(meet(X_88,X_88))))),
inference(subst,[],[refute_0_235:[bind(X_14,$fot(meet(X_88,X_88))),bind(X_15,$fot(complement(X_88)))]]) ).
cnf(refute_0_741,plain,
zero = meet(meet(X_83,X_83),complement(meet(X_83,X_83))),
inference(subst,[],[refute_0_139:[bind(X0,$fot(meet(X_83,X_83)))]]) ).
cnf(refute_0_742,plain,
( complement(meet(X_83,X_83)) != complement(X_83)
| zero != meet(meet(X_83,X_83),complement(meet(X_83,X_83)))
| zero = meet(meet(X_83,X_83),complement(X_83)) ),
introduced(tautology,[equality,[$cnf( $equal(zero,meet(meet(X_83,X_83),complement(meet(X_83,X_83)))) ),[1,1],$fot(complement(X_83))]]) ).
cnf(refute_0_743,plain,
( zero != meet(meet(X_83,X_83),complement(meet(X_83,X_83)))
| zero = meet(meet(X_83,X_83),complement(X_83)) ),
inference(resolve,[$cnf( $equal(complement(meet(X_83,X_83)),complement(X_83)) )],[refute_0_683,refute_0_742]) ).
cnf(refute_0_744,plain,
zero = meet(meet(X_83,X_83),complement(X_83)),
inference(resolve,[$cnf( $equal(zero,meet(meet(X_83,X_83),complement(meet(X_83,X_83)))) )],[refute_0_741,refute_0_743]) ).
cnf(refute_0_745,plain,
meet(meet(X_83,X_83),complement(X_83)) = meet(complement(X_83),meet(X_83,X_83)),
inference(subst,[],[refute_0_185:[bind(X_39,$fot(complement(X_83))),bind(X_40,$fot(meet(X_83,X_83)))]]) ).
cnf(refute_0_746,plain,
( meet(meet(X_83,X_83),complement(X_83)) != meet(complement(X_83),meet(X_83,X_83))
| zero != meet(meet(X_83,X_83),complement(X_83))
| zero = meet(complement(X_83),meet(X_83,X_83)) ),
introduced(tautology,[equality,[$cnf( $equal(zero,meet(meet(X_83,X_83),complement(X_83))) ),[1],$fot(meet(complement(X_83),meet(X_83,X_83)))]]) ).
cnf(refute_0_747,plain,
( zero != meet(meet(X_83,X_83),complement(X_83))
| zero = meet(complement(X_83),meet(X_83,X_83)) ),
inference(resolve,[$cnf( $equal(meet(meet(X_83,X_83),complement(X_83)),meet(complement(X_83),meet(X_83,X_83))) )],[refute_0_745,refute_0_746]) ).
cnf(refute_0_748,plain,
zero = meet(complement(X_83),meet(X_83,X_83)),
inference(resolve,[$cnf( $equal(zero,meet(meet(X_83,X_83),complement(X_83))) )],[refute_0_744,refute_0_747]) ).
cnf(refute_0_749,plain,
zero = meet(complement(X_88),meet(X_88,X_88)),
inference(subst,[],[refute_0_748:[bind(X_83,$fot(X_88))]]) ).
cnf(refute_0_750,plain,
( zero != meet(complement(X_88),meet(X_88,X_88))
| meet(complement(X_88),meet(X_88,X_88)) = zero ),
inference(subst,[],[refute_0_4:[bind(X,$fot(zero)),bind(Y,$fot(meet(complement(X_88),meet(X_88,X_88))))]]) ).
cnf(refute_0_751,plain,
meet(complement(X_88),meet(X_88,X_88)) = zero,
inference(resolve,[$cnf( $equal(zero,meet(complement(X_88),meet(X_88,X_88))) )],[refute_0_749,refute_0_750]) ).
cnf(refute_0_752,plain,
( meet(X_88,X_88) != join(meet(complement(X_88),meet(X_88,X_88)),complement(join(complement(X_88),complement(meet(X_88,X_88)))))
| meet(complement(X_88),meet(X_88,X_88)) != zero
| meet(X_88,X_88) = join(zero,complement(join(complement(X_88),complement(meet(X_88,X_88))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_88,X_88),join(meet(complement(X_88),meet(X_88,X_88)),complement(join(complement(X_88),complement(meet(X_88,X_88)))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_753,plain,
( meet(X_88,X_88) != join(meet(complement(X_88),meet(X_88,X_88)),complement(join(complement(X_88),complement(meet(X_88,X_88)))))
| meet(X_88,X_88) = join(zero,complement(join(complement(X_88),complement(meet(X_88,X_88))))) ),
inference(resolve,[$cnf( $equal(meet(complement(X_88),meet(X_88,X_88)),zero) )],[refute_0_751,refute_0_752]) ).
cnf(refute_0_754,plain,
meet(X_88,X_88) = join(zero,complement(join(complement(X_88),complement(meet(X_88,X_88))))),
inference(resolve,[$cnf( $equal(meet(X_88,X_88),join(meet(complement(X_88),meet(X_88,X_88)),complement(join(complement(X_88),complement(meet(X_88,X_88)))))) )],[refute_0_740,refute_0_753]) ).
cnf(refute_0_755,plain,
( X0 != complement(meet(top,complement(X0)))
| complement(meet(top,complement(X0))) = X0 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(X0)),bind(Y,$fot(complement(meet(top,complement(X0)))))]]) ).
cnf(refute_0_756,plain,
complement(meet(top,complement(X0))) = X0,
inference(resolve,[$cnf( $equal(X0,complement(meet(top,complement(X0)))) )],[refute_0_442,refute_0_755]) ).
cnf(refute_0_757,plain,
complement(meet(top,complement(X_88))) = X_88,
inference(subst,[],[refute_0_756:[bind(X0,$fot(X_88))]]) ).
cnf(refute_0_758,plain,
complement(meet(X_88,X_88)) = complement(X_88),
inference(subst,[],[refute_0_682:[bind(X_82,$fot(X_88))]]) ).
cnf(refute_0_759,plain,
meet(X_88,X_88) = join(meet(complement(X_88),meet(X_88,X_88)),complement(join(complement(meet(X_88,X_88)),complement(X_88)))),
inference(subst,[],[refute_0_46:[bind(X0,$fot(meet(X_88,X_88))),bind(X1,$fot(complement(X_88)))]]) ).
cnf(refute_0_760,plain,
( meet(X_88,X_88) != join(meet(complement(X_88),meet(X_88,X_88)),complement(join(complement(meet(X_88,X_88)),complement(X_88))))
| meet(complement(X_88),meet(X_88,X_88)) != zero
| meet(X_88,X_88) = join(zero,complement(join(complement(meet(X_88,X_88)),complement(X_88)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_88,X_88),join(meet(complement(X_88),meet(X_88,X_88)),complement(join(complement(meet(X_88,X_88)),complement(X_88))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_761,plain,
( meet(X_88,X_88) != join(meet(complement(X_88),meet(X_88,X_88)),complement(join(complement(meet(X_88,X_88)),complement(X_88))))
| meet(X_88,X_88) = join(zero,complement(join(complement(meet(X_88,X_88)),complement(X_88)))) ),
inference(resolve,[$cnf( $equal(meet(complement(X_88),meet(X_88,X_88)),zero) )],[refute_0_751,refute_0_760]) ).
cnf(refute_0_762,plain,
meet(X_88,X_88) = join(zero,complement(join(complement(meet(X_88,X_88)),complement(X_88)))),
inference(resolve,[$cnf( $equal(meet(X_88,X_88),join(meet(complement(X_88),meet(X_88,X_88)),complement(join(complement(meet(X_88,X_88)),complement(X_88))))) )],[refute_0_759,refute_0_761]) ).
cnf(refute_0_763,plain,
complement(meet(top,complement(meet(X_88,meet(X_88,X_88))))) = meet(X_88,meet(X_88,X_88)),
inference(subst,[],[refute_0_756:[bind(X0,$fot(meet(X_88,meet(X_88,X_88))))]]) ).
cnf(refute_0_764,plain,
meet(meet(X_88,X_88),X_88) = meet(X_88,meet(X_88,X_88)),
inference(subst,[],[refute_0_185:[bind(X_39,$fot(X_88)),bind(X_40,$fot(meet(X_88,X_88)))]]) ).
cnf(refute_0_765,plain,
complement(meet(meet(X_88,X_88),X_88)) = complement(meet(meet(X_88,X_88),X_88)),
introduced(tautology,[refl,[$fot(complement(meet(meet(X_88,X_88),X_88)))]]) ).
cnf(refute_0_766,plain,
( complement(meet(meet(X_88,X_88),X_88)) != complement(meet(meet(X_88,X_88),X_88))
| meet(meet(X_88,X_88),X_88) != meet(X_88,meet(X_88,X_88))
| complement(meet(meet(X_88,X_88),X_88)) = complement(meet(X_88,meet(X_88,X_88))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(meet(X_88,X_88),X_88)),complement(meet(meet(X_88,X_88),X_88))) ),[1,0],$fot(meet(X_88,meet(X_88,X_88)))]]) ).
cnf(refute_0_767,plain,
( meet(meet(X_88,X_88),X_88) != meet(X_88,meet(X_88,X_88))
| complement(meet(meet(X_88,X_88),X_88)) = complement(meet(X_88,meet(X_88,X_88))) ),
inference(resolve,[$cnf( $equal(complement(meet(meet(X_88,X_88),X_88)),complement(meet(meet(X_88,X_88),X_88))) )],[refute_0_765,refute_0_766]) ).
cnf(refute_0_768,plain,
complement(meet(meet(X_88,X_88),X_88)) = complement(meet(X_88,meet(X_88,X_88))),
inference(resolve,[$cnf( $equal(meet(meet(X_88,X_88),X_88),meet(X_88,meet(X_88,X_88))) )],[refute_0_764,refute_0_767]) ).
cnf(refute_0_769,plain,
join(complement(meet(X_88,X_88)),complement(X_88)) = complement(meet(meet(X_88,X_88),X_88)),
inference(subst,[],[refute_0_248:[bind(X_39,$fot(meet(X_88,X_88))),bind(X_40,$fot(X_88))]]) ).
cnf(refute_0_770,plain,
( complement(meet(meet(X_88,X_88),X_88)) != complement(meet(X_88,meet(X_88,X_88)))
| join(complement(meet(X_88,X_88)),complement(X_88)) != complement(meet(meet(X_88,X_88),X_88))
| join(complement(meet(X_88,X_88)),complement(X_88)) = complement(meet(X_88,meet(X_88,X_88))) ),
inference(subst,[],[refute_0_25:[bind(X,$fot(join(complement(meet(X_88,X_88)),complement(X_88)))),bind(Y,$fot(complement(meet(meet(X_88,X_88),X_88)))),bind(Z,$fot(complement(meet(X_88,meet(X_88,X_88)))))]]) ).
cnf(refute_0_771,plain,
( complement(meet(meet(X_88,X_88),X_88)) != complement(meet(X_88,meet(X_88,X_88)))
| join(complement(meet(X_88,X_88)),complement(X_88)) = complement(meet(X_88,meet(X_88,X_88))) ),
inference(resolve,[$cnf( $equal(join(complement(meet(X_88,X_88)),complement(X_88)),complement(meet(meet(X_88,X_88),X_88))) )],[refute_0_769,refute_0_770]) ).
cnf(refute_0_772,plain,
join(complement(meet(X_88,X_88)),complement(X_88)) = complement(meet(X_88,meet(X_88,X_88))),
inference(resolve,[$cnf( $equal(complement(meet(meet(X_88,X_88),X_88)),complement(meet(X_88,meet(X_88,X_88)))) )],[refute_0_768,refute_0_771]) ).
cnf(refute_0_773,plain,
meet(top,join(complement(meet(X_88,X_88)),complement(X_88))) = meet(top,join(complement(meet(X_88,X_88)),complement(X_88))),
introduced(tautology,[refl,[$fot(meet(top,join(complement(meet(X_88,X_88)),complement(X_88))))]]) ).
cnf(refute_0_774,plain,
( join(complement(meet(X_88,X_88)),complement(X_88)) != complement(meet(X_88,meet(X_88,X_88)))
| meet(top,join(complement(meet(X_88,X_88)),complement(X_88))) != meet(top,join(complement(meet(X_88,X_88)),complement(X_88)))
| meet(top,join(complement(meet(X_88,X_88)),complement(X_88))) = meet(top,complement(meet(X_88,meet(X_88,X_88)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,join(complement(meet(X_88,X_88)),complement(X_88))),meet(top,join(complement(meet(X_88,X_88)),complement(X_88)))) ),[1,1],$fot(complement(meet(X_88,meet(X_88,X_88))))]]) ).
cnf(refute_0_775,plain,
( join(complement(meet(X_88,X_88)),complement(X_88)) != complement(meet(X_88,meet(X_88,X_88)))
| meet(top,join(complement(meet(X_88,X_88)),complement(X_88))) = meet(top,complement(meet(X_88,meet(X_88,X_88)))) ),
inference(resolve,[$cnf( $equal(meet(top,join(complement(meet(X_88,X_88)),complement(X_88))),meet(top,join(complement(meet(X_88,X_88)),complement(X_88)))) )],[refute_0_773,refute_0_774]) ).
cnf(refute_0_776,plain,
meet(top,join(complement(meet(X_88,X_88)),complement(X_88))) = meet(top,complement(meet(X_88,meet(X_88,X_88)))),
inference(resolve,[$cnf( $equal(join(complement(meet(X_88,X_88)),complement(X_88)),complement(meet(X_88,meet(X_88,X_88)))) )],[refute_0_772,refute_0_775]) ).
cnf(refute_0_777,plain,
complement(meet(top,join(complement(meet(X_88,X_88)),complement(X_88)))) = complement(meet(top,join(complement(meet(X_88,X_88)),complement(X_88)))),
introduced(tautology,[refl,[$fot(complement(meet(top,join(complement(meet(X_88,X_88)),complement(X_88)))))]]) ).
cnf(refute_0_778,plain,
( complement(meet(top,join(complement(meet(X_88,X_88)),complement(X_88)))) != complement(meet(top,join(complement(meet(X_88,X_88)),complement(X_88))))
| meet(top,join(complement(meet(X_88,X_88)),complement(X_88))) != meet(top,complement(meet(X_88,meet(X_88,X_88))))
| complement(meet(top,join(complement(meet(X_88,X_88)),complement(X_88)))) = complement(meet(top,complement(meet(X_88,meet(X_88,X_88))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(top,join(complement(meet(X_88,X_88)),complement(X_88)))),complement(meet(top,join(complement(meet(X_88,X_88)),complement(X_88))))) ),[1,0],$fot(meet(top,complement(meet(X_88,meet(X_88,X_88)))))]]) ).
cnf(refute_0_779,plain,
( meet(top,join(complement(meet(X_88,X_88)),complement(X_88))) != meet(top,complement(meet(X_88,meet(X_88,X_88))))
| complement(meet(top,join(complement(meet(X_88,X_88)),complement(X_88)))) = complement(meet(top,complement(meet(X_88,meet(X_88,X_88))))) ),
inference(resolve,[$cnf( $equal(complement(meet(top,join(complement(meet(X_88,X_88)),complement(X_88)))),complement(meet(top,join(complement(meet(X_88,X_88)),complement(X_88))))) )],[refute_0_777,refute_0_778]) ).
cnf(refute_0_780,plain,
complement(meet(top,join(complement(meet(X_88,X_88)),complement(X_88)))) = complement(meet(top,complement(meet(X_88,meet(X_88,X_88))))),
inference(resolve,[$cnf( $equal(meet(top,join(complement(meet(X_88,X_88)),complement(X_88))),meet(top,complement(meet(X_88,meet(X_88,X_88))))) )],[refute_0_776,refute_0_779]) ).
cnf(refute_0_781,plain,
( complement(meet(top,complement(meet(X_88,meet(X_88,X_88))))) != meet(X_88,meet(X_88,X_88))
| complement(meet(top,join(complement(meet(X_88,X_88)),complement(X_88)))) != complement(meet(top,complement(meet(X_88,meet(X_88,X_88)))))
| complement(meet(top,join(complement(meet(X_88,X_88)),complement(X_88)))) = meet(X_88,meet(X_88,X_88)) ),
inference(subst,[],[refute_0_25:[bind(X,$fot(complement(meet(top,join(complement(meet(X_88,X_88)),complement(X_88)))))),bind(Y,$fot(complement(meet(top,complement(meet(X_88,meet(X_88,X_88))))))),bind(Z,$fot(meet(X_88,meet(X_88,X_88))))]]) ).
cnf(refute_0_782,plain,
( complement(meet(top,complement(meet(X_88,meet(X_88,X_88))))) != meet(X_88,meet(X_88,X_88))
| complement(meet(top,join(complement(meet(X_88,X_88)),complement(X_88)))) = meet(X_88,meet(X_88,X_88)) ),
inference(resolve,[$cnf( $equal(complement(meet(top,join(complement(meet(X_88,X_88)),complement(X_88)))),complement(meet(top,complement(meet(X_88,meet(X_88,X_88)))))) )],[refute_0_780,refute_0_781]) ).
cnf(refute_0_783,plain,
complement(meet(top,join(complement(meet(X_88,X_88)),complement(X_88)))) = meet(X_88,meet(X_88,X_88)),
inference(resolve,[$cnf( $equal(complement(meet(top,complement(meet(X_88,meet(X_88,X_88))))),meet(X_88,meet(X_88,X_88))) )],[refute_0_763,refute_0_782]) ).
cnf(refute_0_784,plain,
join(zero,complement(join(complement(meet(X_88,X_88)),complement(X_88)))) = complement(meet(top,join(complement(meet(X_88,X_88)),complement(X_88)))),
inference(subst,[],[refute_0_352:[bind(X_52,$fot(join(complement(meet(X_88,X_88)),complement(X_88))))]]) ).
cnf(refute_0_785,plain,
( complement(meet(top,join(complement(meet(X_88,X_88)),complement(X_88)))) != meet(X_88,meet(X_88,X_88))
| join(zero,complement(join(complement(meet(X_88,X_88)),complement(X_88)))) != complement(meet(top,join(complement(meet(X_88,X_88)),complement(X_88))))
| join(zero,complement(join(complement(meet(X_88,X_88)),complement(X_88)))) = meet(X_88,meet(X_88,X_88)) ),
inference(subst,[],[refute_0_25:[bind(X,$fot(join(zero,complement(join(complement(meet(X_88,X_88)),complement(X_88)))))),bind(Y,$fot(complement(meet(top,join(complement(meet(X_88,X_88)),complement(X_88)))))),bind(Z,$fot(meet(X_88,meet(X_88,X_88))))]]) ).
cnf(refute_0_786,plain,
( complement(meet(top,join(complement(meet(X_88,X_88)),complement(X_88)))) != meet(X_88,meet(X_88,X_88))
| join(zero,complement(join(complement(meet(X_88,X_88)),complement(X_88)))) = meet(X_88,meet(X_88,X_88)) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(complement(meet(X_88,X_88)),complement(X_88)))),complement(meet(top,join(complement(meet(X_88,X_88)),complement(X_88))))) )],[refute_0_784,refute_0_785]) ).
cnf(refute_0_787,plain,
join(zero,complement(join(complement(meet(X_88,X_88)),complement(X_88)))) = meet(X_88,meet(X_88,X_88)),
inference(resolve,[$cnf( $equal(complement(meet(top,join(complement(meet(X_88,X_88)),complement(X_88)))),meet(X_88,meet(X_88,X_88))) )],[refute_0_783,refute_0_786]) ).
cnf(refute_0_788,plain,
( join(zero,complement(join(complement(meet(X_88,X_88)),complement(X_88)))) != meet(X_88,meet(X_88,X_88))
| meet(X_88,X_88) != join(zero,complement(join(complement(meet(X_88,X_88)),complement(X_88))))
| meet(X_88,X_88) = meet(X_88,meet(X_88,X_88)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_88,X_88),join(zero,complement(join(complement(meet(X_88,X_88)),complement(X_88))))) ),[1],$fot(meet(X_88,meet(X_88,X_88)))]]) ).
cnf(refute_0_789,plain,
( meet(X_88,X_88) != join(zero,complement(join(complement(meet(X_88,X_88)),complement(X_88))))
| meet(X_88,X_88) = meet(X_88,meet(X_88,X_88)) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(complement(meet(X_88,X_88)),complement(X_88)))),meet(X_88,meet(X_88,X_88))) )],[refute_0_787,refute_0_788]) ).
cnf(refute_0_790,plain,
meet(X_88,X_88) = meet(X_88,meet(X_88,X_88)),
inference(resolve,[$cnf( $equal(meet(X_88,X_88),join(zero,complement(join(complement(meet(X_88,X_88)),complement(X_88))))) )],[refute_0_762,refute_0_789]) ).
cnf(refute_0_791,plain,
( meet(X_88,X_88) != meet(X_88,meet(X_88,X_88))
| meet(X_88,meet(X_88,X_88)) = meet(X_88,X_88) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(meet(X_88,X_88))),bind(Y,$fot(meet(X_88,meet(X_88,X_88))))]]) ).
cnf(refute_0_792,plain,
meet(X_88,meet(X_88,X_88)) = meet(X_88,X_88),
inference(resolve,[$cnf( $equal(meet(X_88,X_88),meet(X_88,meet(X_88,X_88))) )],[refute_0_790,refute_0_791]) ).
cnf(refute_0_793,plain,
complement(meet(X_88,meet(X_88,X_88))) = complement(meet(X_88,meet(X_88,X_88))),
introduced(tautology,[refl,[$fot(complement(meet(X_88,meet(X_88,X_88))))]]) ).
cnf(refute_0_794,plain,
( complement(meet(X_88,meet(X_88,X_88))) != complement(meet(X_88,meet(X_88,X_88)))
| meet(X_88,meet(X_88,X_88)) != meet(X_88,X_88)
| complement(meet(X_88,meet(X_88,X_88))) = complement(meet(X_88,X_88)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(X_88,meet(X_88,X_88))),complement(meet(X_88,meet(X_88,X_88)))) ),[1,0],$fot(meet(X_88,X_88))]]) ).
cnf(refute_0_795,plain,
( meet(X_88,meet(X_88,X_88)) != meet(X_88,X_88)
| complement(meet(X_88,meet(X_88,X_88))) = complement(meet(X_88,X_88)) ),
inference(resolve,[$cnf( $equal(complement(meet(X_88,meet(X_88,X_88))),complement(meet(X_88,meet(X_88,X_88)))) )],[refute_0_793,refute_0_794]) ).
cnf(refute_0_796,plain,
complement(meet(X_88,meet(X_88,X_88))) = complement(meet(X_88,X_88)),
inference(resolve,[$cnf( $equal(meet(X_88,meet(X_88,X_88)),meet(X_88,X_88)) )],[refute_0_792,refute_0_795]) ).
cnf(refute_0_797,plain,
( complement(meet(X_88,X_88)) != complement(X_88)
| complement(meet(X_88,meet(X_88,X_88))) != complement(meet(X_88,X_88))
| complement(meet(X_88,meet(X_88,X_88))) = complement(X_88) ),
inference(subst,[],[refute_0_25:[bind(X,$fot(complement(meet(X_88,meet(X_88,X_88))))),bind(Y,$fot(complement(meet(X_88,X_88)))),bind(Z,$fot(complement(X_88)))]]) ).
cnf(refute_0_798,plain,
( complement(meet(X_88,X_88)) != complement(X_88)
| complement(meet(X_88,meet(X_88,X_88))) = complement(X_88) ),
inference(resolve,[$cnf( $equal(complement(meet(X_88,meet(X_88,X_88))),complement(meet(X_88,X_88))) )],[refute_0_796,refute_0_797]) ).
cnf(refute_0_799,plain,
complement(meet(X_88,meet(X_88,X_88))) = complement(X_88),
inference(resolve,[$cnf( $equal(complement(meet(X_88,X_88)),complement(X_88)) )],[refute_0_758,refute_0_798]) ).
cnf(refute_0_800,plain,
join(complement(X_88),complement(meet(X_88,X_88))) = complement(meet(X_88,meet(X_88,X_88))),
inference(subst,[],[refute_0_248:[bind(X_39,$fot(X_88)),bind(X_40,$fot(meet(X_88,X_88)))]]) ).
cnf(refute_0_801,plain,
( complement(meet(X_88,meet(X_88,X_88))) != complement(X_88)
| join(complement(X_88),complement(meet(X_88,X_88))) != complement(meet(X_88,meet(X_88,X_88)))
| join(complement(X_88),complement(meet(X_88,X_88))) = complement(X_88) ),
inference(subst,[],[refute_0_25:[bind(X,$fot(join(complement(X_88),complement(meet(X_88,X_88))))),bind(Y,$fot(complement(meet(X_88,meet(X_88,X_88))))),bind(Z,$fot(complement(X_88)))]]) ).
cnf(refute_0_802,plain,
( complement(meet(X_88,meet(X_88,X_88))) != complement(X_88)
| join(complement(X_88),complement(meet(X_88,X_88))) = complement(X_88) ),
inference(resolve,[$cnf( $equal(join(complement(X_88),complement(meet(X_88,X_88))),complement(meet(X_88,meet(X_88,X_88)))) )],[refute_0_800,refute_0_801]) ).
cnf(refute_0_803,plain,
join(complement(X_88),complement(meet(X_88,X_88))) = complement(X_88),
inference(resolve,[$cnf( $equal(complement(meet(X_88,meet(X_88,X_88))),complement(X_88)) )],[refute_0_799,refute_0_802]) ).
cnf(refute_0_804,plain,
meet(top,join(complement(X_88),complement(meet(X_88,X_88)))) = meet(top,join(complement(X_88),complement(meet(X_88,X_88)))),
introduced(tautology,[refl,[$fot(meet(top,join(complement(X_88),complement(meet(X_88,X_88)))))]]) ).
cnf(refute_0_805,plain,
( join(complement(X_88),complement(meet(X_88,X_88))) != complement(X_88)
| meet(top,join(complement(X_88),complement(meet(X_88,X_88)))) != meet(top,join(complement(X_88),complement(meet(X_88,X_88))))
| meet(top,join(complement(X_88),complement(meet(X_88,X_88)))) = meet(top,complement(X_88)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,join(complement(X_88),complement(meet(X_88,X_88)))),meet(top,join(complement(X_88),complement(meet(X_88,X_88))))) ),[1,1],$fot(complement(X_88))]]) ).
cnf(refute_0_806,plain,
( join(complement(X_88),complement(meet(X_88,X_88))) != complement(X_88)
| meet(top,join(complement(X_88),complement(meet(X_88,X_88)))) = meet(top,complement(X_88)) ),
inference(resolve,[$cnf( $equal(meet(top,join(complement(X_88),complement(meet(X_88,X_88)))),meet(top,join(complement(X_88),complement(meet(X_88,X_88))))) )],[refute_0_804,refute_0_805]) ).
cnf(refute_0_807,plain,
meet(top,join(complement(X_88),complement(meet(X_88,X_88)))) = meet(top,complement(X_88)),
inference(resolve,[$cnf( $equal(join(complement(X_88),complement(meet(X_88,X_88))),complement(X_88)) )],[refute_0_803,refute_0_806]) ).
cnf(refute_0_808,plain,
complement(meet(top,join(complement(X_88),complement(meet(X_88,X_88))))) = complement(meet(top,join(complement(X_88),complement(meet(X_88,X_88))))),
introduced(tautology,[refl,[$fot(complement(meet(top,join(complement(X_88),complement(meet(X_88,X_88))))))]]) ).
cnf(refute_0_809,plain,
( complement(meet(top,join(complement(X_88),complement(meet(X_88,X_88))))) != complement(meet(top,join(complement(X_88),complement(meet(X_88,X_88)))))
| meet(top,join(complement(X_88),complement(meet(X_88,X_88)))) != meet(top,complement(X_88))
| complement(meet(top,join(complement(X_88),complement(meet(X_88,X_88))))) = complement(meet(top,complement(X_88))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(top,join(complement(X_88),complement(meet(X_88,X_88))))),complement(meet(top,join(complement(X_88),complement(meet(X_88,X_88)))))) ),[1,0],$fot(meet(top,complement(X_88)))]]) ).
cnf(refute_0_810,plain,
( meet(top,join(complement(X_88),complement(meet(X_88,X_88)))) != meet(top,complement(X_88))
| complement(meet(top,join(complement(X_88),complement(meet(X_88,X_88))))) = complement(meet(top,complement(X_88))) ),
inference(resolve,[$cnf( $equal(complement(meet(top,join(complement(X_88),complement(meet(X_88,X_88))))),complement(meet(top,join(complement(X_88),complement(meet(X_88,X_88)))))) )],[refute_0_808,refute_0_809]) ).
cnf(refute_0_811,plain,
complement(meet(top,join(complement(X_88),complement(meet(X_88,X_88))))) = complement(meet(top,complement(X_88))),
inference(resolve,[$cnf( $equal(meet(top,join(complement(X_88),complement(meet(X_88,X_88)))),meet(top,complement(X_88))) )],[refute_0_807,refute_0_810]) ).
cnf(refute_0_812,plain,
( complement(meet(top,complement(X_88))) != X_88
| complement(meet(top,join(complement(X_88),complement(meet(X_88,X_88))))) != complement(meet(top,complement(X_88)))
| complement(meet(top,join(complement(X_88),complement(meet(X_88,X_88))))) = X_88 ),
inference(subst,[],[refute_0_25:[bind(X,$fot(complement(meet(top,join(complement(X_88),complement(meet(X_88,X_88))))))),bind(Y,$fot(complement(meet(top,complement(X_88))))),bind(Z,$fot(X_88))]]) ).
cnf(refute_0_813,plain,
( complement(meet(top,complement(X_88))) != X_88
| complement(meet(top,join(complement(X_88),complement(meet(X_88,X_88))))) = X_88 ),
inference(resolve,[$cnf( $equal(complement(meet(top,join(complement(X_88),complement(meet(X_88,X_88))))),complement(meet(top,complement(X_88)))) )],[refute_0_811,refute_0_812]) ).
cnf(refute_0_814,plain,
complement(meet(top,join(complement(X_88),complement(meet(X_88,X_88))))) = X_88,
inference(resolve,[$cnf( $equal(complement(meet(top,complement(X_88))),X_88) )],[refute_0_757,refute_0_813]) ).
cnf(refute_0_815,plain,
join(zero,complement(join(complement(X_88),complement(meet(X_88,X_88))))) = complement(meet(top,join(complement(X_88),complement(meet(X_88,X_88))))),
inference(subst,[],[refute_0_352:[bind(X_52,$fot(join(complement(X_88),complement(meet(X_88,X_88)))))]]) ).
cnf(refute_0_816,plain,
( complement(meet(top,join(complement(X_88),complement(meet(X_88,X_88))))) != X_88
| join(zero,complement(join(complement(X_88),complement(meet(X_88,X_88))))) != complement(meet(top,join(complement(X_88),complement(meet(X_88,X_88)))))
| join(zero,complement(join(complement(X_88),complement(meet(X_88,X_88))))) = X_88 ),
inference(subst,[],[refute_0_25:[bind(X,$fot(join(zero,complement(join(complement(X_88),complement(meet(X_88,X_88))))))),bind(Y,$fot(complement(meet(top,join(complement(X_88),complement(meet(X_88,X_88))))))),bind(Z,$fot(X_88))]]) ).
cnf(refute_0_817,plain,
( complement(meet(top,join(complement(X_88),complement(meet(X_88,X_88))))) != X_88
| join(zero,complement(join(complement(X_88),complement(meet(X_88,X_88))))) = X_88 ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(complement(X_88),complement(meet(X_88,X_88))))),complement(meet(top,join(complement(X_88),complement(meet(X_88,X_88)))))) )],[refute_0_815,refute_0_816]) ).
cnf(refute_0_818,plain,
join(zero,complement(join(complement(X_88),complement(meet(X_88,X_88))))) = X_88,
inference(resolve,[$cnf( $equal(complement(meet(top,join(complement(X_88),complement(meet(X_88,X_88))))),X_88) )],[refute_0_814,refute_0_817]) ).
cnf(refute_0_819,plain,
( join(zero,complement(join(complement(X_88),complement(meet(X_88,X_88))))) != X_88
| meet(X_88,X_88) != join(zero,complement(join(complement(X_88),complement(meet(X_88,X_88)))))
| meet(X_88,X_88) = X_88 ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_88,X_88),join(zero,complement(join(complement(X_88),complement(meet(X_88,X_88)))))) ),[1],$fot(X_88)]]) ).
cnf(refute_0_820,plain,
( meet(X_88,X_88) != join(zero,complement(join(complement(X_88),complement(meet(X_88,X_88)))))
| meet(X_88,X_88) = X_88 ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(complement(X_88),complement(meet(X_88,X_88))))),X_88) )],[refute_0_818,refute_0_819]) ).
cnf(refute_0_821,plain,
meet(X_88,X_88) = X_88,
inference(resolve,[$cnf( $equal(meet(X_88,X_88),join(zero,complement(join(complement(X_88),complement(meet(X_88,X_88)))))) )],[refute_0_754,refute_0_820]) ).
cnf(refute_0_822,plain,
meet(X_14,X_14) = X_14,
inference(subst,[],[refute_0_821:[bind(X_88,$fot(X_14))]]) ).
cnf(refute_0_823,plain,
join(zero,meet(X_14,X_14)) = join(zero,meet(X_14,X_14)),
introduced(tautology,[refl,[$fot(join(zero,meet(X_14,X_14)))]]) ).
cnf(refute_0_824,plain,
( join(zero,meet(X_14,X_14)) != join(zero,meet(X_14,X_14))
| meet(X_14,X_14) != X_14
| join(zero,meet(X_14,X_14)) = join(zero,X_14) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(X_14,X_14)),join(zero,meet(X_14,X_14))) ),[1,1],$fot(X_14)]]) ).
cnf(refute_0_825,plain,
( meet(X_14,X_14) != X_14
| join(zero,meet(X_14,X_14)) = join(zero,X_14) ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_14,X_14)),join(zero,meet(X_14,X_14))) )],[refute_0_823,refute_0_824]) ).
cnf(refute_0_826,plain,
join(zero,meet(X_14,X_14)) = join(zero,X_14),
inference(resolve,[$cnf( $equal(meet(X_14,X_14),X_14) )],[refute_0_822,refute_0_825]) ).
cnf(refute_0_827,plain,
( X_14 != join(zero,meet(X_14,X_14))
| join(zero,meet(X_14,X_14)) != join(zero,X_14)
| X_14 = join(zero,X_14) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_14,join(zero,X_14)) ),[0],$fot(join(zero,meet(X_14,X_14)))]]) ).
cnf(refute_0_828,plain,
( X_14 != join(zero,meet(X_14,X_14))
| X_14 = join(zero,X_14) ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_14,X_14)),join(zero,X_14)) )],[refute_0_826,refute_0_827]) ).
cnf(refute_0_829,plain,
X_14 = join(zero,X_14),
inference(resolve,[$cnf( $equal(X_14,join(zero,meet(X_14,X_14))) )],[refute_0_739,refute_0_828]) ).
cnf(refute_0_830,plain,
( X_14 != join(zero,X_14)
| join(zero,X_14) = X_14 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(X_14)),bind(Y,$fot(join(zero,X_14)))]]) ).
cnf(refute_0_831,plain,
join(zero,X_14) = X_14,
inference(resolve,[$cnf( $equal(X_14,join(zero,X_14)) )],[refute_0_829,refute_0_830]) ).
cnf(refute_0_832,plain,
join(zero,meet(top,X_64)) = meet(top,X_64),
inference(subst,[],[refute_0_831:[bind(X_14,$fot(meet(top,X_64)))]]) ).
cnf(refute_0_833,plain,
( X_64 != join(zero,meet(top,X_64))
| join(zero,meet(top,X_64)) != meet(top,X_64)
| X_64 = meet(top,X_64) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_64,meet(top,X_64)) ),[0],$fot(join(zero,meet(top,X_64)))]]) ).
cnf(refute_0_834,plain,
( X_64 != join(zero,meet(top,X_64))
| X_64 = meet(top,X_64) ),
inference(resolve,[$cnf( $equal(join(zero,meet(top,X_64)),meet(top,X_64)) )],[refute_0_832,refute_0_833]) ).
cnf(refute_0_835,plain,
X_64 = meet(top,X_64),
inference(resolve,[$cnf( $equal(X_64,join(zero,meet(top,X_64))) )],[refute_0_724,refute_0_834]) ).
cnf(refute_0_836,plain,
( X_64 != meet(top,X_64)
| meet(top,X_64) = X_64 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(X_64)),bind(Y,$fot(meet(top,X_64)))]]) ).
cnf(refute_0_837,plain,
meet(top,X_64) = X_64,
inference(resolve,[$cnf( $equal(X_64,meet(top,X_64)) )],[refute_0_835,refute_0_836]) ).
cnf(refute_0_838,plain,
meet(top,complement(X0)) = complement(X0),
inference(subst,[],[refute_0_837:[bind(X_64,$fot(complement(X0)))]]) ).
cnf(refute_0_839,plain,
complement(meet(top,complement(X0))) = complement(meet(top,complement(X0))),
introduced(tautology,[refl,[$fot(complement(meet(top,complement(X0))))]]) ).
cnf(refute_0_840,plain,
( complement(meet(top,complement(X0))) != complement(meet(top,complement(X0)))
| meet(top,complement(X0)) != complement(X0)
| complement(meet(top,complement(X0))) = complement(complement(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(top,complement(X0))),complement(meet(top,complement(X0)))) ),[1,0],$fot(complement(X0))]]) ).
cnf(refute_0_841,plain,
( meet(top,complement(X0)) != complement(X0)
| complement(meet(top,complement(X0))) = complement(complement(X0)) ),
inference(resolve,[$cnf( $equal(complement(meet(top,complement(X0))),complement(meet(top,complement(X0)))) )],[refute_0_839,refute_0_840]) ).
cnf(refute_0_842,plain,
complement(meet(top,complement(X0))) = complement(complement(X0)),
inference(resolve,[$cnf( $equal(meet(top,complement(X0)),complement(X0)) )],[refute_0_838,refute_0_841]) ).
cnf(refute_0_843,plain,
( X0 != complement(meet(top,complement(X0)))
| complement(meet(top,complement(X0))) != complement(complement(X0))
| X0 = complement(complement(X0)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X0,complement(complement(X0))) ),[0],$fot(complement(meet(top,complement(X0))))]]) ).
cnf(refute_0_844,plain,
( X0 != complement(meet(top,complement(X0)))
| X0 = complement(complement(X0)) ),
inference(resolve,[$cnf( $equal(complement(meet(top,complement(X0))),complement(complement(X0))) )],[refute_0_842,refute_0_843]) ).
cnf(refute_0_845,plain,
X0 = complement(complement(X0)),
inference(resolve,[$cnf( $equal(X0,complement(meet(top,complement(X0)))) )],[refute_0_442,refute_0_844]) ).
cnf(refute_0_846,plain,
converse(complement(X_310)) = complement(complement(converse(complement(X_310)))),
inference(subst,[],[refute_0_845:[bind(X0,$fot(converse(complement(X_310))))]]) ).
cnf(refute_0_847,plain,
converse(converse(complement(converse(complement(X_303))))) = complement(converse(complement(X_303))),
inference(subst,[],[refute_0_52:[bind(X0,$fot(complement(converse(complement(X_303)))))]]) ).
cnf(refute_0_848,plain,
converse(join(converse(X0),X_21)) = join(converse(converse(X0)),converse(X_21)),
inference(subst,[],[refute_0_382:[bind(X0,$fot(converse(X0))),bind(X1,$fot(X_21))]]) ).
cnf(refute_0_849,plain,
( converse(converse(X0)) != X0
| converse(join(converse(X0),X_21)) != join(converse(converse(X0)),converse(X_21))
| converse(join(converse(X0),X_21)) = join(X0,converse(X_21)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X0),X_21)),join(converse(converse(X0)),converse(X_21))) ),[1,0],$fot(X0)]]) ).
cnf(refute_0_850,plain,
( converse(join(converse(X0),X_21)) != join(converse(converse(X0)),converse(X_21))
| converse(join(converse(X0),X_21)) = join(X0,converse(X_21)) ),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_0_52,refute_0_849]) ).
cnf(refute_0_851,plain,
converse(join(converse(X0),X_21)) = join(X0,converse(X_21)),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),X_21)),join(converse(converse(X0)),converse(X_21))) )],[refute_0_848,refute_0_850]) ).
cnf(refute_0_852,plain,
converse(join(converse(X0),complement(converse(complement(converse(converse(X0))))))) = join(X0,converse(complement(converse(complement(converse(converse(X0))))))),
inference(subst,[],[refute_0_851:[bind(X_21,$fot(complement(converse(complement(converse(converse(X0)))))))]]) ).
cnf(refute_0_853,plain,
join(complement(complement(X0)),complement(converse(complement(converse(X0))))) = complement(meet(complement(X0),converse(complement(converse(X0))))),
inference(subst,[],[refute_0_248:[bind(X_39,$fot(complement(X0))),bind(X_40,$fot(converse(complement(converse(X0)))))]]) ).
cnf(refute_0_854,plain,
X0 = join(meet(join(complement(converse(top)),converse(complement(converse(complement(X0))))),X0),complement(join(complement(X0),join(complement(converse(top)),converse(complement(converse(complement(X0)))))))),
inference(subst,[],[refute_0_46:[bind(X1,$fot(join(complement(converse(top)),converse(complement(converse(complement(X0)))))))]]) ).
cnf(refute_0_855,plain,
top = join(join(X_31,X_32),complement(join(X_31,X_32))),
inference(subst,[],[refute_0_108:[bind(X0,$fot(join(X_31,X_32)))]]) ).
cnf(refute_0_856,plain,
join(X_31,join(X_32,complement(join(X_31,X_32)))) = join(join(X_31,X_32),complement(join(X_31,X_32))),
inference(subst,[],[refute_0_461:[bind(X0,$fot(X_31)),bind(X1,$fot(X_32)),bind(X2,$fot(complement(join(X_31,X_32))))]]) ).
cnf(refute_0_857,plain,
( join(X_31,join(X_32,complement(join(X_31,X_32)))) != join(join(X_31,X_32),complement(join(X_31,X_32)))
| join(join(X_31,X_32),complement(join(X_31,X_32))) = join(X_31,join(X_32,complement(join(X_31,X_32)))) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(X_31,join(X_32,complement(join(X_31,X_32)))))),bind(Y,$fot(join(join(X_31,X_32),complement(join(X_31,X_32)))))]]) ).
cnf(refute_0_858,plain,
join(join(X_31,X_32),complement(join(X_31,X_32))) = join(X_31,join(X_32,complement(join(X_31,X_32)))),
inference(resolve,[$cnf( $equal(join(X_31,join(X_32,complement(join(X_31,X_32)))),join(join(X_31,X_32),complement(join(X_31,X_32)))) )],[refute_0_856,refute_0_857]) ).
cnf(refute_0_859,plain,
( join(join(X_31,X_32),complement(join(X_31,X_32))) != join(X_31,join(X_32,complement(join(X_31,X_32))))
| top != join(join(X_31,X_32),complement(join(X_31,X_32)))
| top = join(X_31,join(X_32,complement(join(X_31,X_32)))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(join(X_31,X_32),complement(join(X_31,X_32)))) ),[1],$fot(join(X_31,join(X_32,complement(join(X_31,X_32)))))]]) ).
cnf(refute_0_860,plain,
( top != join(join(X_31,X_32),complement(join(X_31,X_32)))
| top = join(X_31,join(X_32,complement(join(X_31,X_32)))) ),
inference(resolve,[$cnf( $equal(join(join(X_31,X_32),complement(join(X_31,X_32))),join(X_31,join(X_32,complement(join(X_31,X_32))))) )],[refute_0_858,refute_0_859]) ).
cnf(refute_0_861,plain,
top = join(X_31,join(X_32,complement(join(X_31,X_32)))),
inference(resolve,[$cnf( $equal(top,join(join(X_31,X_32),complement(join(X_31,X_32)))) )],[refute_0_855,refute_0_860]) ).
cnf(refute_0_862,plain,
top = join(X_31,join(converse(complement(converse(X_31))),complement(join(X_31,converse(complement(converse(X_31))))))),
inference(subst,[],[refute_0_861:[bind(X_32,$fot(converse(complement(converse(X_31)))))]]) ).
cnf(refute_0_863,plain,
converse(join(converse(X_102),complement(converse(X_102)))) = join(X_102,converse(complement(converse(X_102)))),
inference(subst,[],[refute_0_851:[bind(X0,$fot(X_102)),bind(X_21,$fot(complement(converse(X_102))))]]) ).
cnf(refute_0_864,plain,
top = join(converse(X_102),complement(converse(X_102))),
inference(subst,[],[refute_0_108:[bind(X0,$fot(converse(X_102)))]]) ).
cnf(refute_0_865,plain,
( top != join(converse(X_102),complement(converse(X_102)))
| join(converse(X_102),complement(converse(X_102))) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(converse(X_102),complement(converse(X_102)))))]]) ).
cnf(refute_0_866,plain,
join(converse(X_102),complement(converse(X_102))) = top,
inference(resolve,[$cnf( $equal(top,join(converse(X_102),complement(converse(X_102)))) )],[refute_0_864,refute_0_865]) ).
cnf(refute_0_867,plain,
( converse(join(converse(X_102),complement(converse(X_102)))) != join(X_102,converse(complement(converse(X_102))))
| join(converse(X_102),complement(converse(X_102))) != top
| converse(top) = join(X_102,converse(complement(converse(X_102)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X_102),complement(converse(X_102)))),join(X_102,converse(complement(converse(X_102))))) ),[0,0],$fot(top)]]) ).
cnf(refute_0_868,plain,
( converse(join(converse(X_102),complement(converse(X_102)))) != join(X_102,converse(complement(converse(X_102))))
| converse(top) = join(X_102,converse(complement(converse(X_102)))) ),
inference(resolve,[$cnf( $equal(join(converse(X_102),complement(converse(X_102))),top) )],[refute_0_866,refute_0_867]) ).
cnf(refute_0_869,plain,
converse(top) = join(X_102,converse(complement(converse(X_102)))),
inference(resolve,[$cnf( $equal(converse(join(converse(X_102),complement(converse(X_102)))),join(X_102,converse(complement(converse(X_102))))) )],[refute_0_863,refute_0_868]) ).
cnf(refute_0_870,plain,
converse(top) = join(X_31,converse(complement(converse(X_31)))),
inference(subst,[],[refute_0_869:[bind(X_102,$fot(X_31))]]) ).
cnf(refute_0_871,plain,
( converse(top) != join(X_31,converse(complement(converse(X_31))))
| join(X_31,converse(complement(converse(X_31)))) = converse(top) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(converse(top))),bind(Y,$fot(join(X_31,converse(complement(converse(X_31))))))]]) ).
cnf(refute_0_872,plain,
join(X_31,converse(complement(converse(X_31)))) = converse(top),
inference(resolve,[$cnf( $equal(converse(top),join(X_31,converse(complement(converse(X_31))))) )],[refute_0_870,refute_0_871]) ).
cnf(refute_0_873,plain,
( join(X_31,converse(complement(converse(X_31)))) != converse(top)
| top != join(X_31,join(converse(complement(converse(X_31))),complement(join(X_31,converse(complement(converse(X_31)))))))
| top = join(X_31,join(converse(complement(converse(X_31))),complement(converse(top)))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(X_31,join(converse(complement(converse(X_31))),complement(join(X_31,converse(complement(converse(X_31)))))))) ),[1,1,1,0],$fot(converse(top))]]) ).
cnf(refute_0_874,plain,
( top != join(X_31,join(converse(complement(converse(X_31))),complement(join(X_31,converse(complement(converse(X_31)))))))
| top = join(X_31,join(converse(complement(converse(X_31))),complement(converse(top)))) ),
inference(resolve,[$cnf( $equal(join(X_31,converse(complement(converse(X_31)))),converse(top)) )],[refute_0_872,refute_0_873]) ).
cnf(refute_0_875,plain,
top = join(X_31,join(converse(complement(converse(X_31))),complement(converse(top)))),
inference(resolve,[$cnf( $equal(top,join(X_31,join(converse(complement(converse(X_31))),complement(join(X_31,converse(complement(converse(X_31)))))))) )],[refute_0_862,refute_0_874]) ).
cnf(refute_0_876,plain,
join(X_31,join(converse(complement(converse(X_31))),complement(converse(top)))) = join(X_31,join(complement(converse(top)),converse(complement(converse(X_31))))),
inference(subst,[],[refute_0_616:[bind(X_32,$fot(converse(complement(converse(X_31))))),bind(X_33,$fot(complement(converse(top))))]]) ).
cnf(refute_0_877,plain,
( join(X_31,join(converse(complement(converse(X_31))),complement(converse(top)))) != join(X_31,join(complement(converse(top)),converse(complement(converse(X_31)))))
| top != join(X_31,join(converse(complement(converse(X_31))),complement(converse(top))))
| top = join(X_31,join(complement(converse(top)),converse(complement(converse(X_31))))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(X_31,join(converse(complement(converse(X_31))),complement(converse(top))))) ),[1],$fot(join(X_31,join(complement(converse(top)),converse(complement(converse(X_31))))))]]) ).
cnf(refute_0_878,plain,
( top != join(X_31,join(converse(complement(converse(X_31))),complement(converse(top))))
| top = join(X_31,join(complement(converse(top)),converse(complement(converse(X_31))))) ),
inference(resolve,[$cnf( $equal(join(X_31,join(converse(complement(converse(X_31))),complement(converse(top)))),join(X_31,join(complement(converse(top)),converse(complement(converse(X_31)))))) )],[refute_0_876,refute_0_877]) ).
cnf(refute_0_879,plain,
top = join(X_31,join(complement(converse(top)),converse(complement(converse(X_31))))),
inference(resolve,[$cnf( $equal(top,join(X_31,join(converse(complement(converse(X_31))),complement(converse(top))))) )],[refute_0_875,refute_0_878]) ).
cnf(refute_0_880,plain,
top = join(complement(X0),join(complement(converse(top)),converse(complement(converse(complement(X0)))))),
inference(subst,[],[refute_0_879:[bind(X_31,$fot(complement(X0)))]]) ).
cnf(refute_0_881,plain,
( top != join(complement(X0),join(complement(converse(top)),converse(complement(converse(complement(X0))))))
| join(complement(X0),join(complement(converse(top)),converse(complement(converse(complement(X0)))))) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(complement(X0),join(complement(converse(top)),converse(complement(converse(complement(X0))))))))]]) ).
cnf(refute_0_882,plain,
join(complement(X0),join(complement(converse(top)),converse(complement(converse(complement(X0)))))) = top,
inference(resolve,[$cnf( $equal(top,join(complement(X0),join(complement(converse(top)),converse(complement(converse(complement(X0))))))) )],[refute_0_880,refute_0_881]) ).
cnf(refute_0_883,plain,
( X0 != join(meet(join(complement(converse(top)),converse(complement(converse(complement(X0))))),X0),complement(join(complement(X0),join(complement(converse(top)),converse(complement(converse(complement(X0))))))))
| join(complement(X0),join(complement(converse(top)),converse(complement(converse(complement(X0)))))) != top
| X0 = join(meet(join(complement(converse(top)),converse(complement(converse(complement(X0))))),X0),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(X0,join(meet(join(complement(converse(top)),converse(complement(converse(complement(X0))))),X0),complement(join(complement(X0),join(complement(converse(top)),converse(complement(converse(complement(X0))))))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_0_884,plain,
( X0 != join(meet(join(complement(converse(top)),converse(complement(converse(complement(X0))))),X0),complement(join(complement(X0),join(complement(converse(top)),converse(complement(converse(complement(X0))))))))
| X0 = join(meet(join(complement(converse(top)),converse(complement(converse(complement(X0))))),X0),complement(top)) ),
inference(resolve,[$cnf( $equal(join(complement(X0),join(complement(converse(top)),converse(complement(converse(complement(X0)))))),top) )],[refute_0_882,refute_0_883]) ).
cnf(refute_0_885,plain,
X0 = join(meet(join(complement(converse(top)),converse(complement(converse(complement(X0))))),X0),complement(top)),
inference(resolve,[$cnf( $equal(X0,join(meet(join(complement(converse(top)),converse(complement(converse(complement(X0))))),X0),complement(join(complement(X0),join(complement(converse(top)),converse(complement(converse(complement(X0))))))))) )],[refute_0_854,refute_0_884]) ).
cnf(refute_0_886,plain,
join(zero,meet(X0,join(complement(converse(top)),converse(complement(converse(complement(X0))))))) = meet(X0,join(complement(converse(top)),converse(complement(converse(complement(X0)))))),
inference(subst,[],[refute_0_831:[bind(X_14,$fot(meet(X0,join(complement(converse(top)),converse(complement(converse(complement(X0))))))))]]) ).
cnf(refute_0_887,plain,
meet(join(complement(converse(top)),converse(complement(converse(complement(X0))))),X0) = meet(X0,join(complement(converse(top)),converse(complement(converse(complement(X0)))))),
inference(subst,[],[refute_0_185:[bind(X_39,$fot(X0)),bind(X_40,$fot(join(complement(converse(top)),converse(complement(converse(complement(X0)))))))]]) ).
cnf(refute_0_888,plain,
join(zero,meet(join(complement(converse(top)),converse(complement(converse(complement(X0))))),X0)) = join(zero,meet(join(complement(converse(top)),converse(complement(converse(complement(X0))))),X0)),
introduced(tautology,[refl,[$fot(join(zero,meet(join(complement(converse(top)),converse(complement(converse(complement(X0))))),X0)))]]) ).
cnf(refute_0_889,plain,
( join(zero,meet(join(complement(converse(top)),converse(complement(converse(complement(X0))))),X0)) != join(zero,meet(join(complement(converse(top)),converse(complement(converse(complement(X0))))),X0))
| meet(join(complement(converse(top)),converse(complement(converse(complement(X0))))),X0) != meet(X0,join(complement(converse(top)),converse(complement(converse(complement(X0))))))
| join(zero,meet(join(complement(converse(top)),converse(complement(converse(complement(X0))))),X0)) = join(zero,meet(X0,join(complement(converse(top)),converse(complement(converse(complement(X0))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(join(complement(converse(top)),converse(complement(converse(complement(X0))))),X0)),join(zero,meet(join(complement(converse(top)),converse(complement(converse(complement(X0))))),X0))) ),[1,1],$fot(meet(X0,join(complement(converse(top)),converse(complement(converse(complement(X0)))))))]]) ).
cnf(refute_0_890,plain,
( meet(join(complement(converse(top)),converse(complement(converse(complement(X0))))),X0) != meet(X0,join(complement(converse(top)),converse(complement(converse(complement(X0))))))
| join(zero,meet(join(complement(converse(top)),converse(complement(converse(complement(X0))))),X0)) = join(zero,meet(X0,join(complement(converse(top)),converse(complement(converse(complement(X0))))))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(join(complement(converse(top)),converse(complement(converse(complement(X0))))),X0)),join(zero,meet(join(complement(converse(top)),converse(complement(converse(complement(X0))))),X0))) )],[refute_0_888,refute_0_889]) ).
cnf(refute_0_891,plain,
join(zero,meet(join(complement(converse(top)),converse(complement(converse(complement(X0))))),X0)) = join(zero,meet(X0,join(complement(converse(top)),converse(complement(converse(complement(X0))))))),
inference(resolve,[$cnf( $equal(meet(join(complement(converse(top)),converse(complement(converse(complement(X0))))),X0),meet(X0,join(complement(converse(top)),converse(complement(converse(complement(X0))))))) )],[refute_0_887,refute_0_890]) ).
cnf(refute_0_892,plain,
join(complement(top),meet(join(complement(converse(top)),converse(complement(converse(complement(X0))))),X0)) = join(complement(top),meet(join(complement(converse(top)),converse(complement(converse(complement(X0))))),X0)),
introduced(tautology,[refl,[$fot(join(complement(top),meet(join(complement(converse(top)),converse(complement(converse(complement(X0))))),X0)))]]) ).
cnf(refute_0_893,plain,
( complement(top) != zero
| join(complement(top),meet(join(complement(converse(top)),converse(complement(converse(complement(X0))))),X0)) != join(complement(top),meet(join(complement(converse(top)),converse(complement(converse(complement(X0))))),X0))
| join(complement(top),meet(join(complement(converse(top)),converse(complement(converse(complement(X0))))),X0)) = join(zero,meet(join(complement(converse(top)),converse(complement(converse(complement(X0))))),X0)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(join(complement(converse(top)),converse(complement(converse(complement(X0))))),X0)),join(complement(top),meet(join(complement(converse(top)),converse(complement(converse(complement(X0))))),X0))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_894,plain,
( complement(top) != zero
| join(complement(top),meet(join(complement(converse(top)),converse(complement(converse(complement(X0))))),X0)) = join(zero,meet(join(complement(converse(top)),converse(complement(converse(complement(X0))))),X0)) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(join(complement(converse(top)),converse(complement(converse(complement(X0))))),X0)),join(complement(top),meet(join(complement(converse(top)),converse(complement(converse(complement(X0))))),X0))) )],[refute_0_892,refute_0_893]) ).
cnf(refute_0_895,plain,
join(complement(top),meet(join(complement(converse(top)),converse(complement(converse(complement(X0))))),X0)) = join(zero,meet(join(complement(converse(top)),converse(complement(converse(complement(X0))))),X0)),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_165,refute_0_894]) ).
cnf(refute_0_896,plain,
( join(complement(top),meet(join(complement(converse(top)),converse(complement(converse(complement(X0))))),X0)) != join(zero,meet(join(complement(converse(top)),converse(complement(converse(complement(X0))))),X0))
| join(zero,meet(join(complement(converse(top)),converse(complement(converse(complement(X0))))),X0)) != join(zero,meet(X0,join(complement(converse(top)),converse(complement(converse(complement(X0)))))))
| join(complement(top),meet(join(complement(converse(top)),converse(complement(converse(complement(X0))))),X0)) = join(zero,meet(X0,join(complement(converse(top)),converse(complement(converse(complement(X0))))))) ),
inference(subst,[],[refute_0_25:[bind(X,$fot(join(complement(top),meet(join(complement(converse(top)),converse(complement(converse(complement(X0))))),X0)))),bind(Y,$fot(join(zero,meet(join(complement(converse(top)),converse(complement(converse(complement(X0))))),X0)))),bind(Z,$fot(join(zero,meet(X0,join(complement(converse(top)),converse(complement(converse(complement(X0)))))))))]]) ).
cnf(refute_0_897,plain,
( join(zero,meet(join(complement(converse(top)),converse(complement(converse(complement(X0))))),X0)) != join(zero,meet(X0,join(complement(converse(top)),converse(complement(converse(complement(X0)))))))
| join(complement(top),meet(join(complement(converse(top)),converse(complement(converse(complement(X0))))),X0)) = join(zero,meet(X0,join(complement(converse(top)),converse(complement(converse(complement(X0))))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(join(complement(converse(top)),converse(complement(converse(complement(X0))))),X0)),join(zero,meet(join(complement(converse(top)),converse(complement(converse(complement(X0))))),X0))) )],[refute_0_895,refute_0_896]) ).
cnf(refute_0_898,plain,
join(complement(top),meet(join(complement(converse(top)),converse(complement(converse(complement(X0))))),X0)) = join(zero,meet(X0,join(complement(converse(top)),converse(complement(converse(complement(X0))))))),
inference(resolve,[$cnf( $equal(join(zero,meet(join(complement(converse(top)),converse(complement(converse(complement(X0))))),X0)),join(zero,meet(X0,join(complement(converse(top)),converse(complement(converse(complement(X0)))))))) )],[refute_0_891,refute_0_897]) ).
cnf(refute_0_899,plain,
( join(complement(top),meet(join(complement(converse(top)),converse(complement(converse(complement(X0))))),X0)) != join(zero,meet(X0,join(complement(converse(top)),converse(complement(converse(complement(X0)))))))
| join(zero,meet(X0,join(complement(converse(top)),converse(complement(converse(complement(X0))))))) != meet(X0,join(complement(converse(top)),converse(complement(converse(complement(X0))))))
| join(complement(top),meet(join(complement(converse(top)),converse(complement(converse(complement(X0))))),X0)) = meet(X0,join(complement(converse(top)),converse(complement(converse(complement(X0)))))) ),
inference(subst,[],[refute_0_25:[bind(X,$fot(join(complement(top),meet(join(complement(converse(top)),converse(complement(converse(complement(X0))))),X0)))),bind(Y,$fot(join(zero,meet(X0,join(complement(converse(top)),converse(complement(converse(complement(X0))))))))),bind(Z,$fot(meet(X0,join(complement(converse(top)),converse(complement(converse(complement(X0))))))))]]) ).
cnf(refute_0_900,plain,
( join(zero,meet(X0,join(complement(converse(top)),converse(complement(converse(complement(X0))))))) != meet(X0,join(complement(converse(top)),converse(complement(converse(complement(X0))))))
| join(complement(top),meet(join(complement(converse(top)),converse(complement(converse(complement(X0))))),X0)) = meet(X0,join(complement(converse(top)),converse(complement(converse(complement(X0)))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(join(complement(converse(top)),converse(complement(converse(complement(X0))))),X0)),join(zero,meet(X0,join(complement(converse(top)),converse(complement(converse(complement(X0)))))))) )],[refute_0_898,refute_0_899]) ).
cnf(refute_0_901,plain,
join(complement(top),meet(join(complement(converse(top)),converse(complement(converse(complement(X0))))),X0)) = meet(X0,join(complement(converse(top)),converse(complement(converse(complement(X0)))))),
inference(resolve,[$cnf( $equal(join(zero,meet(X0,join(complement(converse(top)),converse(complement(converse(complement(X0))))))),meet(X0,join(complement(converse(top)),converse(complement(converse(complement(X0))))))) )],[refute_0_886,refute_0_900]) ).
cnf(refute_0_902,plain,
join(meet(join(complement(converse(top)),converse(complement(converse(complement(X0))))),X0),complement(top)) = join(complement(top),meet(join(complement(converse(top)),converse(complement(converse(complement(X0))))),X0)),
inference(subst,[],[refute_0_6:[bind(X0,$fot(complement(top))),bind(X1,$fot(meet(join(complement(converse(top)),converse(complement(converse(complement(X0))))),X0)))]]) ).
cnf(refute_0_903,plain,
( join(complement(top),meet(join(complement(converse(top)),converse(complement(converse(complement(X0))))),X0)) != meet(X0,join(complement(converse(top)),converse(complement(converse(complement(X0))))))
| join(meet(join(complement(converse(top)),converse(complement(converse(complement(X0))))),X0),complement(top)) != join(complement(top),meet(join(complement(converse(top)),converse(complement(converse(complement(X0))))),X0))
| join(meet(join(complement(converse(top)),converse(complement(converse(complement(X0))))),X0),complement(top)) = meet(X0,join(complement(converse(top)),converse(complement(converse(complement(X0)))))) ),
inference(subst,[],[refute_0_25:[bind(X,$fot(join(meet(join(complement(converse(top)),converse(complement(converse(complement(X0))))),X0),complement(top)))),bind(Y,$fot(join(complement(top),meet(join(complement(converse(top)),converse(complement(converse(complement(X0))))),X0)))),bind(Z,$fot(meet(X0,join(complement(converse(top)),converse(complement(converse(complement(X0))))))))]]) ).
cnf(refute_0_904,plain,
( join(complement(top),meet(join(complement(converse(top)),converse(complement(converse(complement(X0))))),X0)) != meet(X0,join(complement(converse(top)),converse(complement(converse(complement(X0))))))
| join(meet(join(complement(converse(top)),converse(complement(converse(complement(X0))))),X0),complement(top)) = meet(X0,join(complement(converse(top)),converse(complement(converse(complement(X0)))))) ),
inference(resolve,[$cnf( $equal(join(meet(join(complement(converse(top)),converse(complement(converse(complement(X0))))),X0),complement(top)),join(complement(top),meet(join(complement(converse(top)),converse(complement(converse(complement(X0))))),X0))) )],[refute_0_902,refute_0_903]) ).
cnf(refute_0_905,plain,
join(meet(join(complement(converse(top)),converse(complement(converse(complement(X0))))),X0),complement(top)) = meet(X0,join(complement(converse(top)),converse(complement(converse(complement(X0)))))),
inference(resolve,[$cnf( $equal(join(complement(top),meet(join(complement(converse(top)),converse(complement(converse(complement(X0))))),X0)),meet(X0,join(complement(converse(top)),converse(complement(converse(complement(X0))))))) )],[refute_0_901,refute_0_904]) ).
cnf(refute_0_906,plain,
( X0 != join(meet(join(complement(converse(top)),converse(complement(converse(complement(X0))))),X0),complement(top))
| join(meet(join(complement(converse(top)),converse(complement(converse(complement(X0))))),X0),complement(top)) != meet(X0,join(complement(converse(top)),converse(complement(converse(complement(X0))))))
| X0 = meet(X0,join(complement(converse(top)),converse(complement(converse(complement(X0)))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X0,meet(X0,join(complement(converse(top)),converse(complement(converse(complement(X0))))))) ),[0],$fot(join(meet(join(complement(converse(top)),converse(complement(converse(complement(X0))))),X0),complement(top)))]]) ).
cnf(refute_0_907,plain,
( X0 != join(meet(join(complement(converse(top)),converse(complement(converse(complement(X0))))),X0),complement(top))
| X0 = meet(X0,join(complement(converse(top)),converse(complement(converse(complement(X0)))))) ),
inference(resolve,[$cnf( $equal(join(meet(join(complement(converse(top)),converse(complement(converse(complement(X0))))),X0),complement(top)),meet(X0,join(complement(converse(top)),converse(complement(converse(complement(X0))))))) )],[refute_0_905,refute_0_906]) ).
cnf(refute_0_908,plain,
X0 = meet(X0,join(complement(converse(top)),converse(complement(converse(complement(X0)))))),
inference(resolve,[$cnf( $equal(X0,join(meet(join(complement(converse(top)),converse(complement(converse(complement(X0))))),X0),complement(top))) )],[refute_0_885,refute_0_907]) ).
cnf(refute_0_909,plain,
join(zero,converse(complement(converse(complement(X0))))) = converse(complement(converse(complement(X0)))),
inference(subst,[],[refute_0_831:[bind(X_14,$fot(converse(complement(converse(complement(X0))))))]]) ).
cnf(refute_0_910,plain,
converse(join(X_22,one)) = join(one,converse(X_22)),
inference(subst,[],[refute_0_390:[bind(X_20,$fot(X_22))]]) ).
cnf(refute_0_911,plain,
join(one,X_22) = join(X_22,one),
inference(subst,[],[refute_0_1:[bind(X0,$fot(one)),bind(X1,$fot(X_22))]]) ).
cnf(refute_0_912,plain,
( join(one,X_22) != join(X_22,one)
| join(X_22,one) = join(one,X_22) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(one,X_22))),bind(Y,$fot(join(X_22,one)))]]) ).
cnf(refute_0_913,plain,
join(X_22,one) = join(one,X_22),
inference(resolve,[$cnf( $equal(join(one,X_22),join(X_22,one)) )],[refute_0_911,refute_0_912]) ).
cnf(refute_0_914,plain,
( converse(join(X_22,one)) != join(one,converse(X_22))
| join(X_22,one) != join(one,X_22)
| converse(join(one,X_22)) = join(one,converse(X_22)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X_22,one)),join(one,converse(X_22))) ),[0,0],$fot(join(one,X_22))]]) ).
cnf(refute_0_915,plain,
( converse(join(X_22,one)) != join(one,converse(X_22))
| converse(join(one,X_22)) = join(one,converse(X_22)) ),
inference(resolve,[$cnf( $equal(join(X_22,one),join(one,X_22)) )],[refute_0_913,refute_0_914]) ).
cnf(refute_0_916,plain,
converse(join(one,X_22)) = join(one,converse(X_22)),
inference(resolve,[$cnf( $equal(converse(join(X_22,one)),join(one,converse(X_22))) )],[refute_0_910,refute_0_915]) ).
cnf(refute_0_917,plain,
join(one,converse(X_22)) = converse(join(X_22,one)),
inference(subst,[],[refute_0_396:[bind(X_20,$fot(X_22))]]) ).
cnf(refute_0_918,plain,
( converse(join(one,X_22)) != join(one,converse(X_22))
| join(one,converse(X_22)) != converse(join(X_22,one))
| converse(join(one,X_22)) = converse(join(X_22,one)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(join(one,X_22)),converse(join(X_22,one))) ),[0],$fot(join(one,converse(X_22)))]]) ).
cnf(refute_0_919,plain,
( converse(join(one,X_22)) != join(one,converse(X_22))
| converse(join(one,X_22)) = converse(join(X_22,one)) ),
inference(resolve,[$cnf( $equal(join(one,converse(X_22)),converse(join(X_22,one))) )],[refute_0_917,refute_0_918]) ).
cnf(refute_0_920,plain,
converse(join(one,X_22)) = converse(join(X_22,one)),
inference(resolve,[$cnf( $equal(converse(join(one,X_22)),join(one,converse(X_22))) )],[refute_0_916,refute_0_919]) ).
cnf(refute_0_921,plain,
converse(join(one,join(complement(converse(top)),converse(complement(converse(one)))))) = converse(join(join(complement(converse(top)),converse(complement(converse(one)))),one)),
inference(subst,[],[refute_0_920:[bind(X_22,$fot(join(complement(converse(top)),converse(complement(converse(one))))))]]) ).
cnf(refute_0_922,plain,
top = join(one,join(complement(converse(top)),converse(complement(converse(one))))),
inference(subst,[],[refute_0_879:[bind(X_31,$fot(one))]]) ).
cnf(refute_0_923,plain,
( top != join(one,join(complement(converse(top)),converse(complement(converse(one)))))
| join(one,join(complement(converse(top)),converse(complement(converse(one))))) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(one,join(complement(converse(top)),converse(complement(converse(one)))))))]]) ).
cnf(refute_0_924,plain,
join(one,join(complement(converse(top)),converse(complement(converse(one))))) = top,
inference(resolve,[$cnf( $equal(top,join(one,join(complement(converse(top)),converse(complement(converse(one)))))) )],[refute_0_922,refute_0_923]) ).
cnf(refute_0_925,plain,
( converse(join(one,join(complement(converse(top)),converse(complement(converse(one)))))) != converse(join(join(complement(converse(top)),converse(complement(converse(one)))),one))
| join(one,join(complement(converse(top)),converse(complement(converse(one))))) != top
| converse(top) = converse(join(join(complement(converse(top)),converse(complement(converse(one)))),one)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,join(complement(converse(top)),converse(complement(converse(one)))))),converse(join(join(complement(converse(top)),converse(complement(converse(one)))),one))) ),[0,0],$fot(top)]]) ).
cnf(refute_0_926,plain,
( converse(join(one,join(complement(converse(top)),converse(complement(converse(one)))))) != converse(join(join(complement(converse(top)),converse(complement(converse(one)))),one))
| converse(top) = converse(join(join(complement(converse(top)),converse(complement(converse(one)))),one)) ),
inference(resolve,[$cnf( $equal(join(one,join(complement(converse(top)),converse(complement(converse(one))))),top) )],[refute_0_924,refute_0_925]) ).
cnf(refute_0_927,plain,
converse(top) = converse(join(join(complement(converse(top)),converse(complement(converse(one)))),one)),
inference(resolve,[$cnf( $equal(converse(join(one,join(complement(converse(top)),converse(complement(converse(one)))))),converse(join(join(complement(converse(top)),converse(complement(converse(one)))),one))) )],[refute_0_921,refute_0_926]) ).
cnf(refute_0_928,plain,
top = join(complement(meet(top,join(X_65,complement(complement(X_65))))),meet(meet(top,join(X_65,complement(complement(X_65)))),meet(top,join(X_65,complement(complement(X_65)))))),
inference(subst,[],[refute_0_690:[bind(X_83,$fot(meet(top,join(X_65,complement(complement(X_65))))))]]) ).
cnf(refute_0_929,plain,
join(zero,complement(join(X_65,complement(complement(X_65))))) = complement(meet(top,join(X_65,complement(complement(X_65))))),
inference(subst,[],[refute_0_352:[bind(X_52,$fot(join(X_65,complement(complement(X_65)))))]]) ).
cnf(refute_0_930,plain,
( complement(X_65) != join(zero,complement(join(X_65,complement(complement(X_65)))))
| join(zero,complement(join(X_65,complement(complement(X_65))))) != complement(meet(top,join(X_65,complement(complement(X_65)))))
| complement(X_65) = complement(meet(top,join(X_65,complement(complement(X_65))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(X_65),complement(meet(top,join(X_65,complement(complement(X_65)))))) ),[0],$fot(join(zero,complement(join(X_65,complement(complement(X_65))))))]]) ).
cnf(refute_0_931,plain,
( complement(X_65) != join(zero,complement(join(X_65,complement(complement(X_65)))))
| complement(X_65) = complement(meet(top,join(X_65,complement(complement(X_65))))) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(X_65,complement(complement(X_65))))),complement(meet(top,join(X_65,complement(complement(X_65)))))) )],[refute_0_929,refute_0_930]) ).
cnf(refute_0_932,plain,
complement(X_65) = complement(meet(top,join(X_65,complement(complement(X_65))))),
inference(resolve,[$cnf( $equal(complement(X_65),join(zero,complement(join(X_65,complement(complement(X_65)))))) )],[refute_0_242,refute_0_931]) ).
cnf(refute_0_933,plain,
( complement(X_65) != complement(meet(top,join(X_65,complement(complement(X_65)))))
| complement(meet(top,join(X_65,complement(complement(X_65))))) = complement(X_65) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(complement(X_65))),bind(Y,$fot(complement(meet(top,join(X_65,complement(complement(X_65)))))))]]) ).
cnf(refute_0_934,plain,
complement(meet(top,join(X_65,complement(complement(X_65))))) = complement(X_65),
inference(resolve,[$cnf( $equal(complement(X_65),complement(meet(top,join(X_65,complement(complement(X_65)))))) )],[refute_0_932,refute_0_933]) ).
cnf(refute_0_935,plain,
( complement(meet(top,join(X_65,complement(complement(X_65))))) != complement(X_65)
| top != join(complement(meet(top,join(X_65,complement(complement(X_65))))),meet(meet(top,join(X_65,complement(complement(X_65)))),meet(top,join(X_65,complement(complement(X_65))))))
| top = join(complement(X_65),meet(meet(top,join(X_65,complement(complement(X_65)))),meet(top,join(X_65,complement(complement(X_65)))))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(meet(top,join(X_65,complement(complement(X_65))))),meet(meet(top,join(X_65,complement(complement(X_65)))),meet(top,join(X_65,complement(complement(X_65))))))) ),[1,0],$fot(complement(X_65))]]) ).
cnf(refute_0_936,plain,
( top != join(complement(meet(top,join(X_65,complement(complement(X_65))))),meet(meet(top,join(X_65,complement(complement(X_65)))),meet(top,join(X_65,complement(complement(X_65))))))
| top = join(complement(X_65),meet(meet(top,join(X_65,complement(complement(X_65)))),meet(top,join(X_65,complement(complement(X_65)))))) ),
inference(resolve,[$cnf( $equal(complement(meet(top,join(X_65,complement(complement(X_65))))),complement(X_65)) )],[refute_0_934,refute_0_935]) ).
cnf(refute_0_937,plain,
top = join(complement(X_65),meet(meet(top,join(X_65,complement(complement(X_65)))),meet(top,join(X_65,complement(complement(X_65)))))),
inference(resolve,[$cnf( $equal(top,join(complement(meet(top,join(X_65,complement(complement(X_65))))),meet(meet(top,join(X_65,complement(complement(X_65)))),meet(top,join(X_65,complement(complement(X_65))))))) )],[refute_0_928,refute_0_936]) ).
cnf(refute_0_938,plain,
join(X_65,join(complement(X_65),X_65)) = join(top,X_65),
inference(subst,[],[refute_0_586:[bind(X_31,$fot(X_65)),bind(X_33,$fot(X_65))]]) ).
cnf(refute_0_939,plain,
join(complement(X_65),join(X_65,X_65)) = join(X_65,join(complement(X_65),X_65)),
inference(subst,[],[refute_0_600:[bind(X_31,$fot(X_65)),bind(X_32,$fot(complement(X_65))),bind(X_33,$fot(X_65))]]) ).
cnf(refute_0_940,plain,
( join(X_65,join(complement(X_65),X_65)) != join(top,X_65)
| join(complement(X_65),join(X_65,X_65)) != join(X_65,join(complement(X_65),X_65))
| join(complement(X_65),join(X_65,X_65)) = join(top,X_65) ),
inference(subst,[],[refute_0_25:[bind(X,$fot(join(complement(X_65),join(X_65,X_65)))),bind(Y,$fot(join(X_65,join(complement(X_65),X_65)))),bind(Z,$fot(join(top,X_65)))]]) ).
cnf(refute_0_941,plain,
( join(X_65,join(complement(X_65),X_65)) != join(top,X_65)
| join(complement(X_65),join(X_65,X_65)) = join(top,X_65) ),
inference(resolve,[$cnf( $equal(join(complement(X_65),join(X_65,X_65)),join(X_65,join(complement(X_65),X_65))) )],[refute_0_939,refute_0_940]) ).
cnf(refute_0_942,plain,
join(complement(X_65),join(X_65,X_65)) = join(top,X_65),
inference(resolve,[$cnf( $equal(join(X_65,join(complement(X_65),X_65)),join(top,X_65)) )],[refute_0_938,refute_0_941]) ).
cnf(refute_0_943,plain,
( X0 != complement(complement(X0))
| complement(complement(X0)) = X0 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(X0)),bind(Y,$fot(complement(complement(X0))))]]) ).
cnf(refute_0_944,plain,
complement(complement(X0)) = X0,
inference(resolve,[$cnf( $equal(X0,complement(complement(X0))) )],[refute_0_845,refute_0_943]) ).
cnf(refute_0_945,plain,
complement(complement(X_65)) = X_65,
inference(subst,[],[refute_0_944:[bind(X0,$fot(X_65))]]) ).
cnf(refute_0_946,plain,
join(X_65,complement(complement(X_65))) = join(X_65,complement(complement(X_65))),
introduced(tautology,[refl,[$fot(join(X_65,complement(complement(X_65))))]]) ).
cnf(refute_0_947,plain,
( complement(complement(X_65)) != X_65
| join(X_65,complement(complement(X_65))) != join(X_65,complement(complement(X_65)))
| join(X_65,complement(complement(X_65))) = join(X_65,X_65) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_65,complement(complement(X_65))),join(X_65,complement(complement(X_65)))) ),[1,1],$fot(X_65)]]) ).
cnf(refute_0_948,plain,
( complement(complement(X_65)) != X_65
| join(X_65,complement(complement(X_65))) = join(X_65,X_65) ),
inference(resolve,[$cnf( $equal(join(X_65,complement(complement(X_65))),join(X_65,complement(complement(X_65)))) )],[refute_0_946,refute_0_947]) ).
cnf(refute_0_949,plain,
join(X_65,complement(complement(X_65))) = join(X_65,X_65),
inference(resolve,[$cnf( $equal(complement(complement(X_65)),X_65) )],[refute_0_945,refute_0_948]) ).
cnf(refute_0_950,plain,
meet(top,join(X_65,complement(complement(X_65)))) = join(X_65,complement(complement(X_65))),
inference(subst,[],[refute_0_837:[bind(X_64,$fot(join(X_65,complement(complement(X_65)))))]]) ).
cnf(refute_0_951,plain,
meet(meet(top,join(X_65,complement(complement(X_65)))),meet(top,join(X_65,complement(complement(X_65))))) = meet(top,join(X_65,complement(complement(X_65)))),
inference(subst,[],[refute_0_821:[bind(X_88,$fot(meet(top,join(X_65,complement(complement(X_65))))))]]) ).
cnf(refute_0_952,plain,
( meet(meet(top,join(X_65,complement(complement(X_65)))),meet(top,join(X_65,complement(complement(X_65))))) != meet(top,join(X_65,complement(complement(X_65))))
| meet(top,join(X_65,complement(complement(X_65)))) != join(X_65,complement(complement(X_65)))
| meet(meet(top,join(X_65,complement(complement(X_65)))),meet(top,join(X_65,complement(complement(X_65))))) = join(X_65,complement(complement(X_65))) ),
inference(subst,[],[refute_0_25:[bind(X,$fot(meet(meet(top,join(X_65,complement(complement(X_65)))),meet(top,join(X_65,complement(complement(X_65))))))),bind(Y,$fot(meet(top,join(X_65,complement(complement(X_65)))))),bind(Z,$fot(join(X_65,complement(complement(X_65)))))]]) ).
cnf(refute_0_953,plain,
( meet(top,join(X_65,complement(complement(X_65)))) != join(X_65,complement(complement(X_65)))
| meet(meet(top,join(X_65,complement(complement(X_65)))),meet(top,join(X_65,complement(complement(X_65))))) = join(X_65,complement(complement(X_65))) ),
inference(resolve,[$cnf( $equal(meet(meet(top,join(X_65,complement(complement(X_65)))),meet(top,join(X_65,complement(complement(X_65))))),meet(top,join(X_65,complement(complement(X_65))))) )],[refute_0_951,refute_0_952]) ).
cnf(refute_0_954,plain,
meet(meet(top,join(X_65,complement(complement(X_65)))),meet(top,join(X_65,complement(complement(X_65))))) = join(X_65,complement(complement(X_65))),
inference(resolve,[$cnf( $equal(meet(top,join(X_65,complement(complement(X_65)))),join(X_65,complement(complement(X_65)))) )],[refute_0_950,refute_0_953]) ).
cnf(refute_0_955,plain,
( join(X_65,complement(complement(X_65))) != join(X_65,X_65)
| meet(meet(top,join(X_65,complement(complement(X_65)))),meet(top,join(X_65,complement(complement(X_65))))) != join(X_65,complement(complement(X_65)))
| meet(meet(top,join(X_65,complement(complement(X_65)))),meet(top,join(X_65,complement(complement(X_65))))) = join(X_65,X_65) ),
inference(subst,[],[refute_0_25:[bind(X,$fot(meet(meet(top,join(X_65,complement(complement(X_65)))),meet(top,join(X_65,complement(complement(X_65))))))),bind(Y,$fot(join(X_65,complement(complement(X_65))))),bind(Z,$fot(join(X_65,X_65)))]]) ).
cnf(refute_0_956,plain,
( join(X_65,complement(complement(X_65))) != join(X_65,X_65)
| meet(meet(top,join(X_65,complement(complement(X_65)))),meet(top,join(X_65,complement(complement(X_65))))) = join(X_65,X_65) ),
inference(resolve,[$cnf( $equal(meet(meet(top,join(X_65,complement(complement(X_65)))),meet(top,join(X_65,complement(complement(X_65))))),join(X_65,complement(complement(X_65)))) )],[refute_0_954,refute_0_955]) ).
cnf(refute_0_957,plain,
meet(meet(top,join(X_65,complement(complement(X_65)))),meet(top,join(X_65,complement(complement(X_65))))) = join(X_65,X_65),
inference(resolve,[$cnf( $equal(join(X_65,complement(complement(X_65))),join(X_65,X_65)) )],[refute_0_949,refute_0_956]) ).
cnf(refute_0_958,plain,
join(complement(X_65),meet(meet(top,join(X_65,complement(complement(X_65)))),meet(top,join(X_65,complement(complement(X_65)))))) = join(complement(X_65),meet(meet(top,join(X_65,complement(complement(X_65)))),meet(top,join(X_65,complement(complement(X_65)))))),
introduced(tautology,[refl,[$fot(join(complement(X_65),meet(meet(top,join(X_65,complement(complement(X_65)))),meet(top,join(X_65,complement(complement(X_65)))))))]]) ).
cnf(refute_0_959,plain,
( join(complement(X_65),meet(meet(top,join(X_65,complement(complement(X_65)))),meet(top,join(X_65,complement(complement(X_65)))))) != join(complement(X_65),meet(meet(top,join(X_65,complement(complement(X_65)))),meet(top,join(X_65,complement(complement(X_65))))))
| meet(meet(top,join(X_65,complement(complement(X_65)))),meet(top,join(X_65,complement(complement(X_65))))) != join(X_65,X_65)
| join(complement(X_65),meet(meet(top,join(X_65,complement(complement(X_65)))),meet(top,join(X_65,complement(complement(X_65)))))) = join(complement(X_65),join(X_65,X_65)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_65),meet(meet(top,join(X_65,complement(complement(X_65)))),meet(top,join(X_65,complement(complement(X_65)))))),join(complement(X_65),meet(meet(top,join(X_65,complement(complement(X_65)))),meet(top,join(X_65,complement(complement(X_65))))))) ),[1,1],$fot(join(X_65,X_65))]]) ).
cnf(refute_0_960,plain,
( meet(meet(top,join(X_65,complement(complement(X_65)))),meet(top,join(X_65,complement(complement(X_65))))) != join(X_65,X_65)
| join(complement(X_65),meet(meet(top,join(X_65,complement(complement(X_65)))),meet(top,join(X_65,complement(complement(X_65)))))) = join(complement(X_65),join(X_65,X_65)) ),
inference(resolve,[$cnf( $equal(join(complement(X_65),meet(meet(top,join(X_65,complement(complement(X_65)))),meet(top,join(X_65,complement(complement(X_65)))))),join(complement(X_65),meet(meet(top,join(X_65,complement(complement(X_65)))),meet(top,join(X_65,complement(complement(X_65))))))) )],[refute_0_958,refute_0_959]) ).
cnf(refute_0_961,plain,
join(complement(X_65),meet(meet(top,join(X_65,complement(complement(X_65)))),meet(top,join(X_65,complement(complement(X_65)))))) = join(complement(X_65),join(X_65,X_65)),
inference(resolve,[$cnf( $equal(meet(meet(top,join(X_65,complement(complement(X_65)))),meet(top,join(X_65,complement(complement(X_65))))),join(X_65,X_65)) )],[refute_0_957,refute_0_960]) ).
cnf(refute_0_962,plain,
( join(complement(X_65),join(X_65,X_65)) != join(top,X_65)
| join(complement(X_65),meet(meet(top,join(X_65,complement(complement(X_65)))),meet(top,join(X_65,complement(complement(X_65)))))) != join(complement(X_65),join(X_65,X_65))
| join(complement(X_65),meet(meet(top,join(X_65,complement(complement(X_65)))),meet(top,join(X_65,complement(complement(X_65)))))) = join(top,X_65) ),
inference(subst,[],[refute_0_25:[bind(X,$fot(join(complement(X_65),meet(meet(top,join(X_65,complement(complement(X_65)))),meet(top,join(X_65,complement(complement(X_65)))))))),bind(Y,$fot(join(complement(X_65),join(X_65,X_65)))),bind(Z,$fot(join(top,X_65)))]]) ).
cnf(refute_0_963,plain,
( join(complement(X_65),join(X_65,X_65)) != join(top,X_65)
| join(complement(X_65),meet(meet(top,join(X_65,complement(complement(X_65)))),meet(top,join(X_65,complement(complement(X_65)))))) = join(top,X_65) ),
inference(resolve,[$cnf( $equal(join(complement(X_65),meet(meet(top,join(X_65,complement(complement(X_65)))),meet(top,join(X_65,complement(complement(X_65)))))),join(complement(X_65),join(X_65,X_65))) )],[refute_0_961,refute_0_962]) ).
cnf(refute_0_964,plain,
join(complement(X_65),meet(meet(top,join(X_65,complement(complement(X_65)))),meet(top,join(X_65,complement(complement(X_65)))))) = join(top,X_65),
inference(resolve,[$cnf( $equal(join(complement(X_65),join(X_65,X_65)),join(top,X_65)) )],[refute_0_942,refute_0_963]) ).
cnf(refute_0_965,plain,
( join(complement(X_65),meet(meet(top,join(X_65,complement(complement(X_65)))),meet(top,join(X_65,complement(complement(X_65)))))) != join(top,X_65)
| top != join(complement(X_65),meet(meet(top,join(X_65,complement(complement(X_65)))),meet(top,join(X_65,complement(complement(X_65))))))
| top = join(top,X_65) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(X_65),meet(meet(top,join(X_65,complement(complement(X_65)))),meet(top,join(X_65,complement(complement(X_65))))))) ),[1],$fot(join(top,X_65))]]) ).
cnf(refute_0_966,plain,
( top != join(complement(X_65),meet(meet(top,join(X_65,complement(complement(X_65)))),meet(top,join(X_65,complement(complement(X_65))))))
| top = join(top,X_65) ),
inference(resolve,[$cnf( $equal(join(complement(X_65),meet(meet(top,join(X_65,complement(complement(X_65)))),meet(top,join(X_65,complement(complement(X_65)))))),join(top,X_65)) )],[refute_0_964,refute_0_965]) ).
cnf(refute_0_967,plain,
top = join(top,X_65),
inference(resolve,[$cnf( $equal(top,join(complement(X_65),meet(meet(top,join(X_65,complement(complement(X_65)))),meet(top,join(X_65,complement(complement(X_65))))))) )],[refute_0_937,refute_0_966]) ).
cnf(refute_0_968,plain,
( top != join(top,X_65)
| join(top,X_65) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(top,X_65)))]]) ).
cnf(refute_0_969,plain,
join(top,X_65) = top,
inference(resolve,[$cnf( $equal(top,join(top,X_65)) )],[refute_0_967,refute_0_968]) ).
cnf(refute_0_970,plain,
join(top,X_33) = top,
inference(subst,[],[refute_0_969:[bind(X_65,$fot(X_33))]]) ).
cnf(refute_0_971,plain,
( join(X_31,join(complement(X_31),X_33)) != join(top,X_33)
| join(top,X_33) != top
| join(X_31,join(complement(X_31),X_33)) = top ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_31,join(complement(X_31),X_33)),top) ),[0],$fot(join(top,X_33))]]) ).
cnf(refute_0_972,plain,
( join(X_31,join(complement(X_31),X_33)) != join(top,X_33)
| join(X_31,join(complement(X_31),X_33)) = top ),
inference(resolve,[$cnf( $equal(join(top,X_33),top) )],[refute_0_970,refute_0_971]) ).
cnf(refute_0_973,plain,
join(X_31,join(complement(X_31),X_33)) = top,
inference(resolve,[$cnf( $equal(join(X_31,join(complement(X_31),X_33)),join(top,X_33)) )],[refute_0_586,refute_0_972]) ).
cnf(refute_0_974,plain,
join(one,join(complement(one),converse(complement(converse(top))))) = top,
inference(subst,[],[refute_0_973:[bind(X_31,$fot(one)),bind(X_33,$fot(converse(complement(converse(top)))))]]) ).
cnf(refute_0_975,plain,
complement(converse(one)) = complement(converse(one)),
introduced(tautology,[refl,[$fot(complement(converse(one)))]]) ).
cnf(refute_0_976,plain,
( complement(converse(one)) != complement(converse(one))
| converse(one) != one
| complement(converse(one)) = complement(one) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(one)),complement(converse(one))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_977,plain,
( converse(one) != one
| complement(converse(one)) = complement(one) ),
inference(resolve,[$cnf( $equal(complement(converse(one)),complement(converse(one))) )],[refute_0_975,refute_0_976]) ).
cnf(refute_0_978,plain,
complement(converse(one)) = complement(one),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_74,refute_0_977]) ).
cnf(refute_0_979,plain,
join(complement(converse(one)),converse(complement(converse(top)))) = join(complement(converse(one)),converse(complement(converse(top)))),
introduced(tautology,[refl,[$fot(join(complement(converse(one)),converse(complement(converse(top)))))]]) ).
cnf(refute_0_980,plain,
( complement(converse(one)) != complement(one)
| join(complement(converse(one)),converse(complement(converse(top)))) != join(complement(converse(one)),converse(complement(converse(top))))
| join(complement(converse(one)),converse(complement(converse(top)))) = join(complement(one),converse(complement(converse(top)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(one)),converse(complement(converse(top)))),join(complement(converse(one)),converse(complement(converse(top))))) ),[1,0],$fot(complement(one))]]) ).
cnf(refute_0_981,plain,
( complement(converse(one)) != complement(one)
| join(complement(converse(one)),converse(complement(converse(top)))) = join(complement(one),converse(complement(converse(top)))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(one)),converse(complement(converse(top)))),join(complement(converse(one)),converse(complement(converse(top))))) )],[refute_0_979,refute_0_980]) ).
cnf(refute_0_982,plain,
join(complement(converse(one)),converse(complement(converse(top)))) = join(complement(one),converse(complement(converse(top)))),
inference(resolve,[$cnf( $equal(complement(converse(one)),complement(one)) )],[refute_0_978,refute_0_981]) ).
cnf(refute_0_983,plain,
join(one,join(complement(converse(one)),converse(complement(converse(top))))) = join(one,join(complement(converse(one)),converse(complement(converse(top))))),
introduced(tautology,[refl,[$fot(join(one,join(complement(converse(one)),converse(complement(converse(top))))))]]) ).
cnf(refute_0_984,plain,
( join(complement(converse(one)),converse(complement(converse(top)))) != join(complement(one),converse(complement(converse(top))))
| join(one,join(complement(converse(one)),converse(complement(converse(top))))) != join(one,join(complement(converse(one)),converse(complement(converse(top)))))
| join(one,join(complement(converse(one)),converse(complement(converse(top))))) = join(one,join(complement(one),converse(complement(converse(top))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(complement(converse(one)),converse(complement(converse(top))))),join(one,join(complement(converse(one)),converse(complement(converse(top)))))) ),[1,1],$fot(join(complement(one),converse(complement(converse(top)))))]]) ).
cnf(refute_0_985,plain,
( join(complement(converse(one)),converse(complement(converse(top)))) != join(complement(one),converse(complement(converse(top))))
| join(one,join(complement(converse(one)),converse(complement(converse(top))))) = join(one,join(complement(one),converse(complement(converse(top))))) ),
inference(resolve,[$cnf( $equal(join(one,join(complement(converse(one)),converse(complement(converse(top))))),join(one,join(complement(converse(one)),converse(complement(converse(top)))))) )],[refute_0_983,refute_0_984]) ).
cnf(refute_0_986,plain,
join(one,join(complement(converse(one)),converse(complement(converse(top))))) = join(one,join(complement(one),converse(complement(converse(top))))),
inference(resolve,[$cnf( $equal(join(complement(converse(one)),converse(complement(converse(top)))),join(complement(one),converse(complement(converse(top))))) )],[refute_0_982,refute_0_985]) ).
cnf(refute_0_987,plain,
( join(one,join(complement(converse(one)),converse(complement(converse(top))))) != join(one,join(complement(one),converse(complement(converse(top)))))
| join(one,join(complement(one),converse(complement(converse(top))))) != top
| join(one,join(complement(converse(one)),converse(complement(converse(top))))) = top ),
inference(subst,[],[refute_0_25:[bind(X,$fot(join(one,join(complement(converse(one)),converse(complement(converse(top))))))),bind(Y,$fot(join(one,join(complement(one),converse(complement(converse(top))))))),bind(Z,$fot(top))]]) ).
cnf(refute_0_988,plain,
( join(one,join(complement(one),converse(complement(converse(top))))) != top
| join(one,join(complement(converse(one)),converse(complement(converse(top))))) = top ),
inference(resolve,[$cnf( $equal(join(one,join(complement(converse(one)),converse(complement(converse(top))))),join(one,join(complement(one),converse(complement(converse(top)))))) )],[refute_0_986,refute_0_987]) ).
cnf(refute_0_989,plain,
join(one,join(complement(converse(one)),converse(complement(converse(top))))) = top,
inference(resolve,[$cnf( $equal(join(one,join(complement(one),converse(complement(converse(top))))),top) )],[refute_0_974,refute_0_988]) ).
cnf(refute_0_990,plain,
join(one,join(converse(complement(converse(top))),complement(converse(one)))) = join(one,join(complement(converse(one)),converse(complement(converse(top))))),
inference(subst,[],[refute_0_616:[bind(X_31,$fot(one)),bind(X_32,$fot(converse(complement(converse(top))))),bind(X_33,$fot(complement(converse(one))))]]) ).
cnf(refute_0_991,plain,
converse(join(join(X_30,converse(X_29)),one)) = join(one,converse(join(X_30,converse(X_29)))),
inference(subst,[],[refute_0_390:[bind(X_20,$fot(join(X_30,converse(X_29))))]]) ).
cnf(refute_0_992,plain,
converse(join(X_20,converse(X0))) = join(converse(X_20),converse(converse(X0))),
inference(subst,[],[refute_0_382:[bind(X0,$fot(X_20)),bind(X1,$fot(converse(X0)))]]) ).
cnf(refute_0_993,plain,
( converse(converse(X0)) != X0
| converse(join(X_20,converse(X0))) != join(converse(X_20),converse(converse(X0)))
| converse(join(X_20,converse(X0))) = join(converse(X_20),X0) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X_20,converse(X0))),join(converse(X_20),converse(converse(X0)))) ),[1,1],$fot(X0)]]) ).
cnf(refute_0_994,plain,
( converse(join(X_20,converse(X0))) != join(converse(X_20),converse(converse(X0)))
| converse(join(X_20,converse(X0))) = join(converse(X_20),X0) ),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_0_52,refute_0_993]) ).
cnf(refute_0_995,plain,
converse(join(X_20,converse(X0))) = join(converse(X_20),X0),
inference(resolve,[$cnf( $equal(converse(join(X_20,converse(X0))),join(converse(X_20),converse(converse(X0)))) )],[refute_0_992,refute_0_994]) ).
cnf(refute_0_996,plain,
converse(join(X_30,converse(X_29))) = join(converse(X_30),X_29),
inference(subst,[],[refute_0_995:[bind(X0,$fot(X_29)),bind(X_20,$fot(X_30))]]) ).
cnf(refute_0_997,plain,
( converse(join(X_30,converse(X_29))) != join(converse(X_30),X_29)
| converse(join(join(X_30,converse(X_29)),one)) != join(one,converse(join(X_30,converse(X_29))))
| converse(join(join(X_30,converse(X_29)),one)) = join(one,join(converse(X_30),X_29)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(X_30,converse(X_29)),one)),join(one,converse(join(X_30,converse(X_29))))) ),[1,1],$fot(join(converse(X_30),X_29))]]) ).
cnf(refute_0_998,plain,
( converse(join(join(X_30,converse(X_29)),one)) != join(one,converse(join(X_30,converse(X_29))))
| converse(join(join(X_30,converse(X_29)),one)) = join(one,join(converse(X_30),X_29)) ),
inference(resolve,[$cnf( $equal(converse(join(X_30,converse(X_29))),join(converse(X_30),X_29)) )],[refute_0_996,refute_0_997]) ).
cnf(refute_0_999,plain,
converse(join(join(X_30,converse(X_29)),one)) = join(one,join(converse(X_30),X_29)),
inference(resolve,[$cnf( $equal(converse(join(join(X_30,converse(X_29)),one)),join(one,converse(join(X_30,converse(X_29))))) )],[refute_0_991,refute_0_998]) ).
cnf(refute_0_1000,plain,
( converse(join(one,X_22)) != converse(join(X_22,one))
| converse(join(X_22,one)) = converse(join(one,X_22)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(converse(join(one,X_22)))),bind(Y,$fot(converse(join(X_22,one))))]]) ).
cnf(refute_0_1001,plain,
converse(join(X_22,one)) = converse(join(one,X_22)),
inference(resolve,[$cnf( $equal(converse(join(one,X_22)),converse(join(X_22,one))) )],[refute_0_920,refute_0_1000]) ).
cnf(refute_0_1002,plain,
converse(join(join(X_30,converse(X_29)),one)) = converse(join(one,join(X_30,converse(X_29)))),
inference(subst,[],[refute_0_1001:[bind(X_22,$fot(join(X_30,converse(X_29))))]]) ).
cnf(refute_0_1003,plain,
( converse(join(join(X_30,converse(X_29)),one)) != converse(join(one,join(X_30,converse(X_29))))
| converse(join(join(X_30,converse(X_29)),one)) != join(one,join(converse(X_30),X_29))
| converse(join(one,join(X_30,converse(X_29)))) = join(one,join(converse(X_30),X_29)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(X_30,converse(X_29)),one)),join(one,join(converse(X_30),X_29))) ),[0],$fot(converse(join(one,join(X_30,converse(X_29)))))]]) ).
cnf(refute_0_1004,plain,
( converse(join(join(X_30,converse(X_29)),one)) != join(one,join(converse(X_30),X_29))
| converse(join(one,join(X_30,converse(X_29)))) = join(one,join(converse(X_30),X_29)) ),
inference(resolve,[$cnf( $equal(converse(join(join(X_30,converse(X_29)),one)),converse(join(one,join(X_30,converse(X_29))))) )],[refute_0_1002,refute_0_1003]) ).
cnf(refute_0_1005,plain,
converse(join(one,join(X_30,converse(X_29)))) = join(one,join(converse(X_30),X_29)),
inference(resolve,[$cnf( $equal(converse(join(join(X_30,converse(X_29)),one)),join(one,join(converse(X_30),X_29))) )],[refute_0_999,refute_0_1004]) ).
cnf(refute_0_1006,plain,
converse(join(join(X_31,X_32),converse(X0))) = join(converse(join(X_31,X_32)),X0),
inference(subst,[],[refute_0_995:[bind(X_20,$fot(join(X_31,X_32)))]]) ).
cnf(refute_0_1007,plain,
join(X_31,join(X_32,converse(X0))) = join(join(X_31,X_32),converse(X0)),
inference(subst,[],[refute_0_461:[bind(X0,$fot(X_31)),bind(X1,$fot(X_32)),bind(X2,$fot(converse(X0)))]]) ).
cnf(refute_0_1008,plain,
( join(X_31,join(X_32,converse(X0))) != join(join(X_31,X_32),converse(X0))
| join(join(X_31,X_32),converse(X0)) = join(X_31,join(X_32,converse(X0))) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(X_31,join(X_32,converse(X0))))),bind(Y,$fot(join(join(X_31,X_32),converse(X0))))]]) ).
cnf(refute_0_1009,plain,
join(join(X_31,X_32),converse(X0)) = join(X_31,join(X_32,converse(X0))),
inference(resolve,[$cnf( $equal(join(X_31,join(X_32,converse(X0))),join(join(X_31,X_32),converse(X0))) )],[refute_0_1007,refute_0_1008]) ).
cnf(refute_0_1010,plain,
( converse(join(join(X_31,X_32),converse(X0))) != join(converse(join(X_31,X_32)),X0)
| join(join(X_31,X_32),converse(X0)) != join(X_31,join(X_32,converse(X0)))
| converse(join(X_31,join(X_32,converse(X0)))) = join(converse(join(X_31,X_32)),X0) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(X_31,X_32),converse(X0))),join(converse(join(X_31,X_32)),X0)) ),[0,0],$fot(join(X_31,join(X_32,converse(X0))))]]) ).
cnf(refute_0_1011,plain,
( converse(join(join(X_31,X_32),converse(X0))) != join(converse(join(X_31,X_32)),X0)
| converse(join(X_31,join(X_32,converse(X0)))) = join(converse(join(X_31,X_32)),X0) ),
inference(resolve,[$cnf( $equal(join(join(X_31,X_32),converse(X0)),join(X_31,join(X_32,converse(X0)))) )],[refute_0_1009,refute_0_1010]) ).
cnf(refute_0_1012,plain,
converse(join(X_31,join(X_32,converse(X0)))) = join(converse(join(X_31,X_32)),X0),
inference(resolve,[$cnf( $equal(converse(join(join(X_31,X_32),converse(X0))),join(converse(join(X_31,X_32)),X0)) )],[refute_0_1006,refute_0_1011]) ).
cnf(refute_0_1013,plain,
converse(join(one,join(X_30,converse(X_29)))) = join(converse(join(one,X_30)),X_29),
inference(subst,[],[refute_0_1012:[bind(X0,$fot(X_29)),bind(X_31,$fot(one)),bind(X_32,$fot(X_30))]]) ).
cnf(refute_0_1014,plain,
( converse(join(one,join(X_30,converse(X_29)))) != join(converse(join(one,X_30)),X_29)
| converse(join(one,join(X_30,converse(X_29)))) != join(one,join(converse(X_30),X_29))
| join(converse(join(one,X_30)),X_29) = join(one,join(converse(X_30),X_29)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,join(X_30,converse(X_29)))),join(one,join(converse(X_30),X_29))) ),[0],$fot(join(converse(join(one,X_30)),X_29))]]) ).
cnf(refute_0_1015,plain,
( converse(join(one,join(X_30,converse(X_29)))) != join(one,join(converse(X_30),X_29))
| join(converse(join(one,X_30)),X_29) = join(one,join(converse(X_30),X_29)) ),
inference(resolve,[$cnf( $equal(converse(join(one,join(X_30,converse(X_29)))),join(converse(join(one,X_30)),X_29)) )],[refute_0_1013,refute_0_1014]) ).
cnf(refute_0_1016,plain,
join(converse(join(one,X_30)),X_29) = join(one,join(converse(X_30),X_29)),
inference(resolve,[$cnf( $equal(converse(join(one,join(X_30,converse(X_29)))),join(one,join(converse(X_30),X_29))) )],[refute_0_1005,refute_0_1015]) ).
cnf(refute_0_1017,plain,
join(converse(join(one,complement(converse(top)))),complement(converse(one))) = join(one,join(converse(complement(converse(top))),complement(converse(one)))),
inference(subst,[],[refute_0_1016:[bind(X_29,$fot(complement(converse(one)))),bind(X_30,$fot(complement(converse(top))))]]) ).
cnf(refute_0_1018,plain,
( join(converse(join(one,complement(converse(top)))),complement(converse(one))) != join(one,join(converse(complement(converse(top))),complement(converse(one))))
| join(one,join(converse(complement(converse(top))),complement(converse(one)))) != join(one,join(complement(converse(one)),converse(complement(converse(top)))))
| join(converse(join(one,complement(converse(top)))),complement(converse(one))) = join(one,join(complement(converse(one)),converse(complement(converse(top))))) ),
inference(subst,[],[refute_0_25:[bind(X,$fot(join(converse(join(one,complement(converse(top)))),complement(converse(one))))),bind(Y,$fot(join(one,join(converse(complement(converse(top))),complement(converse(one)))))),bind(Z,$fot(join(one,join(complement(converse(one)),converse(complement(converse(top)))))))]]) ).
cnf(refute_0_1019,plain,
( join(one,join(converse(complement(converse(top))),complement(converse(one)))) != join(one,join(complement(converse(one)),converse(complement(converse(top)))))
| join(converse(join(one,complement(converse(top)))),complement(converse(one))) = join(one,join(complement(converse(one)),converse(complement(converse(top))))) ),
inference(resolve,[$cnf( $equal(join(converse(join(one,complement(converse(top)))),complement(converse(one))),join(one,join(converse(complement(converse(top))),complement(converse(one))))) )],[refute_0_1017,refute_0_1018]) ).
cnf(refute_0_1020,plain,
join(converse(join(one,complement(converse(top)))),complement(converse(one))) = join(one,join(complement(converse(one)),converse(complement(converse(top))))),
inference(resolve,[$cnf( $equal(join(one,join(converse(complement(converse(top))),complement(converse(one)))),join(one,join(complement(converse(one)),converse(complement(converse(top)))))) )],[refute_0_990,refute_0_1019]) ).
cnf(refute_0_1021,plain,
converse(join(one,join(complement(converse(top)),converse(complement(converse(one)))))) = join(converse(join(one,complement(converse(top)))),complement(converse(one))),
inference(subst,[],[refute_0_1012:[bind(X0,$fot(complement(converse(one)))),bind(X_31,$fot(one)),bind(X_32,$fot(complement(converse(top))))]]) ).
cnf(refute_0_1022,plain,
( converse(join(one,join(complement(converse(top)),converse(complement(converse(one)))))) != join(converse(join(one,complement(converse(top)))),complement(converse(one)))
| join(converse(join(one,complement(converse(top)))),complement(converse(one))) != join(one,join(complement(converse(one)),converse(complement(converse(top)))))
| converse(join(one,join(complement(converse(top)),converse(complement(converse(one)))))) = join(one,join(complement(converse(one)),converse(complement(converse(top))))) ),
inference(subst,[],[refute_0_25:[bind(X,$fot(converse(join(one,join(complement(converse(top)),converse(complement(converse(one)))))))),bind(Y,$fot(join(converse(join(one,complement(converse(top)))),complement(converse(one))))),bind(Z,$fot(join(one,join(complement(converse(one)),converse(complement(converse(top)))))))]]) ).
cnf(refute_0_1023,plain,
( join(converse(join(one,complement(converse(top)))),complement(converse(one))) != join(one,join(complement(converse(one)),converse(complement(converse(top)))))
| converse(join(one,join(complement(converse(top)),converse(complement(converse(one)))))) = join(one,join(complement(converse(one)),converse(complement(converse(top))))) ),
inference(resolve,[$cnf( $equal(converse(join(one,join(complement(converse(top)),converse(complement(converse(one)))))),join(converse(join(one,complement(converse(top)))),complement(converse(one)))) )],[refute_0_1021,refute_0_1022]) ).
cnf(refute_0_1024,plain,
converse(join(one,join(complement(converse(top)),converse(complement(converse(one)))))) = join(one,join(complement(converse(one)),converse(complement(converse(top))))),
inference(resolve,[$cnf( $equal(join(converse(join(one,complement(converse(top)))),complement(converse(one))),join(one,join(complement(converse(one)),converse(complement(converse(top)))))) )],[refute_0_1020,refute_0_1023]) ).
cnf(refute_0_1025,plain,
converse(join(join(one,one),X1)) = join(converse(join(one,one)),converse(X1)),
inference(subst,[],[refute_0_382:[bind(X0,$fot(join(one,one)))]]) ).
cnf(refute_0_1026,plain,
( converse(join(join(one,one),X1)) != join(converse(join(one,one)),converse(X1))
| converse(join(one,one)) != join(one,one)
| converse(join(join(one,one),X1)) = join(join(one,one),converse(X1)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(one,one),X1)),join(converse(join(one,one)),converse(X1))) ),[1,0],$fot(join(one,one))]]) ).
cnf(refute_0_1027,plain,
( converse(join(join(one,one),X1)) != join(converse(join(one,one)),converse(X1))
| converse(join(join(one,one),X1)) = join(join(one,one),converse(X1)) ),
inference(resolve,[$cnf( $equal(converse(join(one,one)),join(one,one)) )],[refute_0_394,refute_0_1026]) ).
cnf(refute_0_1028,plain,
converse(join(join(one,one),X1)) = join(join(one,one),converse(X1)),
inference(resolve,[$cnf( $equal(converse(join(join(one,one),X1)),join(converse(join(one,one)),converse(X1))) )],[refute_0_1025,refute_0_1027]) ).
cnf(refute_0_1029,plain,
join(join(one,one),X1) = join(one,join(one,X1)),
inference(subst,[],[refute_0_463:[bind(X0,$fot(one)),bind(X1,$fot(one)),bind(X2,$fot(X1))]]) ).
cnf(refute_0_1030,plain,
converse(join(join(one,one),X1)) = converse(join(join(one,one),X1)),
introduced(tautology,[refl,[$fot(converse(join(join(one,one),X1)))]]) ).
cnf(refute_0_1031,plain,
( converse(join(join(one,one),X1)) != converse(join(join(one,one),X1))
| join(join(one,one),X1) != join(one,join(one,X1))
| converse(join(join(one,one),X1)) = converse(join(one,join(one,X1))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(one,one),X1)),converse(join(join(one,one),X1))) ),[1,0],$fot(join(one,join(one,X1)))]]) ).
cnf(refute_0_1032,plain,
( join(join(one,one),X1) != join(one,join(one,X1))
| converse(join(join(one,one),X1)) = converse(join(one,join(one,X1))) ),
inference(resolve,[$cnf( $equal(converse(join(join(one,one),X1)),converse(join(join(one,one),X1))) )],[refute_0_1030,refute_0_1031]) ).
cnf(refute_0_1033,plain,
converse(join(join(one,one),X1)) = converse(join(one,join(one,X1))),
inference(resolve,[$cnf( $equal(join(join(one,one),X1),join(one,join(one,X1))) )],[refute_0_1029,refute_0_1032]) ).
cnf(refute_0_1034,plain,
( converse(join(join(one,one),X1)) != converse(join(one,join(one,X1)))
| converse(join(join(one,one),X1)) != join(join(one,one),converse(X1))
| converse(join(one,join(one,X1))) = join(join(one,one),converse(X1)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(one,one),X1)),join(join(one,one),converse(X1))) ),[0],$fot(converse(join(one,join(one,X1))))]]) ).
cnf(refute_0_1035,plain,
( converse(join(join(one,one),X1)) != join(join(one,one),converse(X1))
| converse(join(one,join(one,X1))) = join(join(one,one),converse(X1)) ),
inference(resolve,[$cnf( $equal(converse(join(join(one,one),X1)),converse(join(one,join(one,X1)))) )],[refute_0_1033,refute_0_1034]) ).
cnf(refute_0_1036,plain,
converse(join(join(X1,one),one)) = converse(join(one,join(X1,one))),
inference(subst,[],[refute_0_1001:[bind(X_22,$fot(join(X1,one)))]]) ).
cnf(refute_0_1037,plain,
join(one,converse(join(X1,one))) = converse(join(join(X1,one),one)),
inference(subst,[],[refute_0_396:[bind(X_20,$fot(join(X1,one)))]]) ).
cnf(refute_0_1038,plain,
( converse(join(join(X1,one),one)) != converse(join(one,join(X1,one)))
| join(one,converse(join(X1,one))) != converse(join(join(X1,one),one))
| join(one,converse(join(X1,one))) = converse(join(one,join(X1,one))) ),
inference(subst,[],[refute_0_25:[bind(X,$fot(join(one,converse(join(X1,one))))),bind(Y,$fot(converse(join(join(X1,one),one)))),bind(Z,$fot(converse(join(one,join(X1,one)))))]]) ).
cnf(refute_0_1039,plain,
( converse(join(join(X1,one),one)) != converse(join(one,join(X1,one)))
| join(one,converse(join(X1,one))) = converse(join(one,join(X1,one))) ),
inference(resolve,[$cnf( $equal(join(one,converse(join(X1,one))),converse(join(join(X1,one),one))) )],[refute_0_1037,refute_0_1038]) ).
cnf(refute_0_1040,plain,
join(one,converse(join(X1,one))) = converse(join(one,join(X1,one))),
inference(resolve,[$cnf( $equal(converse(join(join(X1,one),one)),converse(join(one,join(X1,one)))) )],[refute_0_1036,refute_0_1039]) ).
cnf(refute_0_1041,plain,
join(one,converse(X1)) = converse(join(X1,one)),
inference(subst,[],[refute_0_396:[bind(X_20,$fot(X1))]]) ).
cnf(refute_0_1042,plain,
join(one,join(one,converse(X1))) = join(one,join(one,converse(X1))),
introduced(tautology,[refl,[$fot(join(one,join(one,converse(X1))))]]) ).
cnf(refute_0_1043,plain,
( join(one,converse(X1)) != converse(join(X1,one))
| join(one,join(one,converse(X1))) != join(one,join(one,converse(X1)))
| join(one,join(one,converse(X1))) = join(one,converse(join(X1,one))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(one,converse(X1))),join(one,join(one,converse(X1)))) ),[1,1],$fot(converse(join(X1,one)))]]) ).
cnf(refute_0_1044,plain,
( join(one,converse(X1)) != converse(join(X1,one))
| join(one,join(one,converse(X1))) = join(one,converse(join(X1,one))) ),
inference(resolve,[$cnf( $equal(join(one,join(one,converse(X1))),join(one,join(one,converse(X1)))) )],[refute_0_1042,refute_0_1043]) ).
cnf(refute_0_1045,plain,
join(one,join(one,converse(X1))) = join(one,converse(join(X1,one))),
inference(resolve,[$cnf( $equal(join(one,converse(X1)),converse(join(X1,one))) )],[refute_0_1041,refute_0_1044]) ).
cnf(refute_0_1046,plain,
( join(one,converse(join(X1,one))) != converse(join(one,join(X1,one)))
| join(one,join(one,converse(X1))) != join(one,converse(join(X1,one)))
| join(one,join(one,converse(X1))) = converse(join(one,join(X1,one))) ),
inference(subst,[],[refute_0_25:[bind(X,$fot(join(one,join(one,converse(X1))))),bind(Y,$fot(join(one,converse(join(X1,one))))),bind(Z,$fot(converse(join(one,join(X1,one)))))]]) ).
cnf(refute_0_1047,plain,
( join(one,converse(join(X1,one))) != converse(join(one,join(X1,one)))
| join(one,join(one,converse(X1))) = converse(join(one,join(X1,one))) ),
inference(resolve,[$cnf( $equal(join(one,join(one,converse(X1))),join(one,converse(join(X1,one)))) )],[refute_0_1045,refute_0_1046]) ).
cnf(refute_0_1048,plain,
join(one,join(one,converse(X1))) = converse(join(one,join(X1,one))),
inference(resolve,[$cnf( $equal(join(one,converse(join(X1,one))),converse(join(one,join(X1,one)))) )],[refute_0_1040,refute_0_1047]) ).
cnf(refute_0_1049,plain,
join(join(one,one),converse(X1)) = join(one,join(one,converse(X1))),
inference(subst,[],[refute_0_463:[bind(X0,$fot(one)),bind(X1,$fot(one)),bind(X2,$fot(converse(X1)))]]) ).
cnf(refute_0_1050,plain,
( join(join(one,one),converse(X1)) != join(one,join(one,converse(X1)))
| join(one,join(one,converse(X1))) != converse(join(one,join(X1,one)))
| join(join(one,one),converse(X1)) = converse(join(one,join(X1,one))) ),
inference(subst,[],[refute_0_25:[bind(X,$fot(join(join(one,one),converse(X1)))),bind(Y,$fot(join(one,join(one,converse(X1))))),bind(Z,$fot(converse(join(one,join(X1,one)))))]]) ).
cnf(refute_0_1051,plain,
( join(one,join(one,converse(X1))) != converse(join(one,join(X1,one)))
| join(join(one,one),converse(X1)) = converse(join(one,join(X1,one))) ),
inference(resolve,[$cnf( $equal(join(join(one,one),converse(X1)),join(one,join(one,converse(X1)))) )],[refute_0_1049,refute_0_1050]) ).
cnf(refute_0_1052,plain,
join(join(one,one),converse(X1)) = converse(join(one,join(X1,one))),
inference(resolve,[$cnf( $equal(join(one,join(one,converse(X1))),converse(join(one,join(X1,one)))) )],[refute_0_1048,refute_0_1051]) ).
cnf(refute_0_1053,plain,
( converse(join(one,join(one,X1))) != join(join(one,one),converse(X1))
| join(join(one,one),converse(X1)) != converse(join(one,join(X1,one)))
| converse(join(one,join(one,X1))) = converse(join(one,join(X1,one))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(join(one,join(one,X1))),converse(join(one,join(X1,one)))) ),[0],$fot(join(join(one,one),converse(X1)))]]) ).
cnf(refute_0_1054,plain,
( converse(join(one,join(one,X1))) != join(join(one,one),converse(X1))
| converse(join(one,join(one,X1))) = converse(join(one,join(X1,one))) ),
inference(resolve,[$cnf( $equal(join(join(one,one),converse(X1)),converse(join(one,join(X1,one)))) )],[refute_0_1052,refute_0_1053]) ).
cnf(refute_0_1055,plain,
( converse(join(join(one,one),X1)) != join(join(one,one),converse(X1))
| converse(join(one,join(one,X1))) = converse(join(one,join(X1,one))) ),
inference(resolve,[$cnf( $equal(converse(join(one,join(one,X1))),join(join(one,one),converse(X1))) )],[refute_0_1035,refute_0_1054]) ).
cnf(refute_0_1056,plain,
converse(join(one,join(one,X1))) = converse(join(one,join(X1,one))),
inference(resolve,[$cnf( $equal(converse(join(join(one,one),X1)),join(join(one,one),converse(X1))) )],[refute_0_1028,refute_0_1055]) ).
cnf(refute_0_1057,plain,
converse(join(X0,join(one,one))) = join(converse(X0),converse(join(one,one))),
inference(subst,[],[refute_0_382:[bind(X1,$fot(join(one,one)))]]) ).
cnf(refute_0_1058,plain,
( converse(join(X0,join(one,one))) != join(converse(X0),converse(join(one,one)))
| converse(join(one,one)) != join(one,one)
| converse(join(X0,join(one,one))) = join(converse(X0),join(one,one)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X0,join(one,one))),join(converse(X0),converse(join(one,one)))) ),[1,1],$fot(join(one,one))]]) ).
cnf(refute_0_1059,plain,
( converse(join(X0,join(one,one))) != join(converse(X0),converse(join(one,one)))
| converse(join(X0,join(one,one))) = join(converse(X0),join(one,one)) ),
inference(resolve,[$cnf( $equal(converse(join(one,one)),join(one,one)) )],[refute_0_394,refute_0_1058]) ).
cnf(refute_0_1060,plain,
converse(join(X0,join(one,one))) = join(converse(X0),join(one,one)),
inference(resolve,[$cnf( $equal(converse(join(X0,join(one,one))),join(converse(X0),converse(join(one,one)))) )],[refute_0_1057,refute_0_1059]) ).
cnf(refute_0_1061,plain,
converse(join(join(X0,one),one)) = converse(join(one,join(X0,one))),
inference(subst,[],[refute_0_1001:[bind(X_22,$fot(join(X0,one)))]]) ).
cnf(refute_0_1062,plain,
join(one,converse(join(X0,one))) = converse(join(join(X0,one),one)),
inference(subst,[],[refute_0_396:[bind(X_20,$fot(join(X0,one)))]]) ).
cnf(refute_0_1063,plain,
( converse(join(join(X0,one),one)) != converse(join(one,join(X0,one)))
| join(one,converse(join(X0,one))) != converse(join(join(X0,one),one))
| join(one,converse(join(X0,one))) = converse(join(one,join(X0,one))) ),
inference(subst,[],[refute_0_25:[bind(X,$fot(join(one,converse(join(X0,one))))),bind(Y,$fot(converse(join(join(X0,one),one)))),bind(Z,$fot(converse(join(one,join(X0,one)))))]]) ).
cnf(refute_0_1064,plain,
( converse(join(join(X0,one),one)) != converse(join(one,join(X0,one)))
| join(one,converse(join(X0,one))) = converse(join(one,join(X0,one))) ),
inference(resolve,[$cnf( $equal(join(one,converse(join(X0,one))),converse(join(join(X0,one),one))) )],[refute_0_1062,refute_0_1063]) ).
cnf(refute_0_1065,plain,
join(one,converse(join(X0,one))) = converse(join(one,join(X0,one))),
inference(resolve,[$cnf( $equal(converse(join(join(X0,one),one)),converse(join(one,join(X0,one)))) )],[refute_0_1061,refute_0_1064]) ).
cnf(refute_0_1066,plain,
join(one,converse(X0)) = converse(join(X0,one)),
inference(subst,[],[refute_0_396:[bind(X_20,$fot(X0))]]) ).
cnf(refute_0_1067,plain,
join(one,join(one,converse(X0))) = join(one,join(one,converse(X0))),
introduced(tautology,[refl,[$fot(join(one,join(one,converse(X0))))]]) ).
cnf(refute_0_1068,plain,
( join(one,converse(X0)) != converse(join(X0,one))
| join(one,join(one,converse(X0))) != join(one,join(one,converse(X0)))
| join(one,join(one,converse(X0))) = join(one,converse(join(X0,one))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,join(one,converse(X0))),join(one,join(one,converse(X0)))) ),[1,1],$fot(converse(join(X0,one)))]]) ).
cnf(refute_0_1069,plain,
( join(one,converse(X0)) != converse(join(X0,one))
| join(one,join(one,converse(X0))) = join(one,converse(join(X0,one))) ),
inference(resolve,[$cnf( $equal(join(one,join(one,converse(X0))),join(one,join(one,converse(X0)))) )],[refute_0_1067,refute_0_1068]) ).
cnf(refute_0_1070,plain,
join(one,join(one,converse(X0))) = join(one,converse(join(X0,one))),
inference(resolve,[$cnf( $equal(join(one,converse(X0)),converse(join(X0,one))) )],[refute_0_1066,refute_0_1069]) ).
cnf(refute_0_1071,plain,
( join(one,converse(join(X0,one))) != converse(join(one,join(X0,one)))
| join(one,join(one,converse(X0))) != join(one,converse(join(X0,one)))
| join(one,join(one,converse(X0))) = converse(join(one,join(X0,one))) ),
inference(subst,[],[refute_0_25:[bind(X,$fot(join(one,join(one,converse(X0))))),bind(Y,$fot(join(one,converse(join(X0,one))))),bind(Z,$fot(converse(join(one,join(X0,one)))))]]) ).
cnf(refute_0_1072,plain,
( join(one,converse(join(X0,one))) != converse(join(one,join(X0,one)))
| join(one,join(one,converse(X0))) = converse(join(one,join(X0,one))) ),
inference(resolve,[$cnf( $equal(join(one,join(one,converse(X0))),join(one,converse(join(X0,one)))) )],[refute_0_1070,refute_0_1071]) ).
cnf(refute_0_1073,plain,
join(one,join(one,converse(X0))) = converse(join(one,join(X0,one))),
inference(resolve,[$cnf( $equal(join(one,converse(join(X0,one))),converse(join(one,join(X0,one)))) )],[refute_0_1065,refute_0_1072]) ).
cnf(refute_0_1074,plain,
join(one,join(converse(X0),one)) = join(one,join(one,converse(X0))),
inference(subst,[],[refute_0_616:[bind(X_31,$fot(one)),bind(X_32,$fot(converse(X0))),bind(X_33,$fot(one))]]) ).
cnf(refute_0_1075,plain,
join(converse(X0),join(one,one)) = join(one,join(converse(X0),one)),
inference(subst,[],[refute_0_600:[bind(X_31,$fot(one)),bind(X_32,$fot(converse(X0))),bind(X_33,$fot(one))]]) ).
cnf(refute_0_1076,plain,
( join(converse(X0),join(one,one)) != join(one,join(converse(X0),one))
| join(one,join(converse(X0),one)) != join(one,join(one,converse(X0)))
| join(converse(X0),join(one,one)) = join(one,join(one,converse(X0))) ),
inference(subst,[],[refute_0_25:[bind(X,$fot(join(converse(X0),join(one,one)))),bind(Y,$fot(join(one,join(converse(X0),one)))),bind(Z,$fot(join(one,join(one,converse(X0)))))]]) ).
cnf(refute_0_1077,plain,
( join(one,join(converse(X0),one)) != join(one,join(one,converse(X0)))
| join(converse(X0),join(one,one)) = join(one,join(one,converse(X0))) ),
inference(resolve,[$cnf( $equal(join(converse(X0),join(one,one)),join(one,join(converse(X0),one))) )],[refute_0_1075,refute_0_1076]) ).
cnf(refute_0_1078,plain,
join(converse(X0),join(one,one)) = join(one,join(one,converse(X0))),
inference(resolve,[$cnf( $equal(join(one,join(converse(X0),one)),join(one,join(one,converse(X0)))) )],[refute_0_1074,refute_0_1077]) ).
cnf(refute_0_1079,plain,
( join(converse(X0),join(one,one)) != join(one,join(one,converse(X0)))
| join(one,join(one,converse(X0))) != converse(join(one,join(X0,one)))
| join(converse(X0),join(one,one)) = converse(join(one,join(X0,one))) ),
inference(subst,[],[refute_0_25:[bind(X,$fot(join(converse(X0),join(one,one)))),bind(Y,$fot(join(one,join(one,converse(X0))))),bind(Z,$fot(converse(join(one,join(X0,one)))))]]) ).
cnf(refute_0_1080,plain,
( join(one,join(one,converse(X0))) != converse(join(one,join(X0,one)))
| join(converse(X0),join(one,one)) = converse(join(one,join(X0,one))) ),
inference(resolve,[$cnf( $equal(join(converse(X0),join(one,one)),join(one,join(one,converse(X0)))) )],[refute_0_1078,refute_0_1079]) ).
cnf(refute_0_1081,plain,
join(converse(X0),join(one,one)) = converse(join(one,join(X0,one))),
inference(resolve,[$cnf( $equal(join(one,join(one,converse(X0))),converse(join(one,join(X0,one)))) )],[refute_0_1073,refute_0_1080]) ).
cnf(refute_0_1082,plain,
( converse(join(X0,join(one,one))) != join(converse(X0),join(one,one))
| join(converse(X0),join(one,one)) != converse(join(one,join(X0,one)))
| converse(join(X0,join(one,one))) = converse(join(one,join(X0,one))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(join(X0,join(one,one))),converse(join(one,join(X0,one)))) ),[0],$fot(join(converse(X0),join(one,one)))]]) ).
cnf(refute_0_1083,plain,
( converse(join(X0,join(one,one))) != join(converse(X0),join(one,one))
| converse(join(X0,join(one,one))) = converse(join(one,join(X0,one))) ),
inference(resolve,[$cnf( $equal(join(converse(X0),join(one,one)),converse(join(one,join(X0,one)))) )],[refute_0_1081,refute_0_1082]) ).
cnf(refute_0_1084,plain,
converse(join(X0,join(one,one))) = converse(join(one,join(X0,one))),
inference(resolve,[$cnf( $equal(converse(join(X0,join(one,one))),join(converse(X0),join(one,one))) )],[refute_0_1060,refute_0_1083]) ).
cnf(refute_0_1085,plain,
X0 = join(meet(meet(X0,composition(join(one,one),X0)),X0),complement(join(complement(X0),meet(X0,composition(join(one,one),X0))))),
inference(subst,[],[refute_0_46:[bind(X1,$fot(meet(X0,composition(join(one,one),X0))))]]) ).
cnf(refute_0_1086,plain,
top = join(meet(X_84,composition(join(one,one),X_84)),complement(meet(X_84,composition(join(one,one),X_84)))),
inference(subst,[],[refute_0_108:[bind(X0,$fot(meet(X_84,composition(join(one,one),X_84))))]]) ).
cnf(refute_0_1087,plain,
join(complement(X_82),composition(converse(join(one,one)),complement(composition(join(one,one),X_82)))) = complement(X_82),
inference(subst,[],[refute_0_374:[bind(X0,$fot(join(one,one))),bind(X1,$fot(X_82))]]) ).
cnf(refute_0_1088,plain,
( converse(join(one,one)) != join(one,one)
| join(complement(X_82),composition(converse(join(one,one)),complement(composition(join(one,one),X_82)))) != complement(X_82)
| join(complement(X_82),composition(join(one,one),complement(composition(join(one,one),X_82)))) = complement(X_82) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_82),composition(converse(join(one,one)),complement(composition(join(one,one),X_82)))),complement(X_82)) ),[0,1,0],$fot(join(one,one))]]) ).
cnf(refute_0_1089,plain,
( join(complement(X_82),composition(converse(join(one,one)),complement(composition(join(one,one),X_82)))) != complement(X_82)
| join(complement(X_82),composition(join(one,one),complement(composition(join(one,one),X_82)))) = complement(X_82) ),
inference(resolve,[$cnf( $equal(converse(join(one,one)),join(one,one)) )],[refute_0_394,refute_0_1088]) ).
cnf(refute_0_1090,plain,
join(complement(X_82),composition(join(one,one),complement(composition(join(one,one),X_82)))) = complement(X_82),
inference(resolve,[$cnf( $equal(join(complement(X_82),composition(converse(join(one,one)),complement(composition(join(one,one),X_82)))),complement(X_82)) )],[refute_0_1087,refute_0_1089]) ).
cnf(refute_0_1091,plain,
join(complement(X_82),complement(composition(join(one,one),X_82))) = complement(meet(X_82,composition(join(one,one),X_82))),
inference(subst,[],[refute_0_248:[bind(X_39,$fot(X_82)),bind(X_40,$fot(composition(join(one,one),X_82)))]]) ).
cnf(refute_0_1092,plain,
composition(join(one,one),complement(composition(join(one,one),X_82))) = complement(composition(join(one,one),X_82)),
inference(subst,[],[refute_0_430:[bind(X_82,$fot(composition(join(one,one),X_82)))]]) ).
cnf(refute_0_1093,plain,
join(complement(X_82),composition(join(one,one),complement(composition(join(one,one),X_82)))) = join(complement(X_82),composition(join(one,one),complement(composition(join(one,one),X_82)))),
introduced(tautology,[refl,[$fot(join(complement(X_82),composition(join(one,one),complement(composition(join(one,one),X_82)))))]]) ).
cnf(refute_0_1094,plain,
( composition(join(one,one),complement(composition(join(one,one),X_82))) != complement(composition(join(one,one),X_82))
| join(complement(X_82),composition(join(one,one),complement(composition(join(one,one),X_82)))) != join(complement(X_82),composition(join(one,one),complement(composition(join(one,one),X_82))))
| join(complement(X_82),composition(join(one,one),complement(composition(join(one,one),X_82)))) = join(complement(X_82),complement(composition(join(one,one),X_82))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_82),composition(join(one,one),complement(composition(join(one,one),X_82)))),join(complement(X_82),composition(join(one,one),complement(composition(join(one,one),X_82))))) ),[1,1],$fot(complement(composition(join(one,one),X_82)))]]) ).
cnf(refute_0_1095,plain,
( composition(join(one,one),complement(composition(join(one,one),X_82))) != complement(composition(join(one,one),X_82))
| join(complement(X_82),composition(join(one,one),complement(composition(join(one,one),X_82)))) = join(complement(X_82),complement(composition(join(one,one),X_82))) ),
inference(resolve,[$cnf( $equal(join(complement(X_82),composition(join(one,one),complement(composition(join(one,one),X_82)))),join(complement(X_82),composition(join(one,one),complement(composition(join(one,one),X_82))))) )],[refute_0_1093,refute_0_1094]) ).
cnf(refute_0_1096,plain,
join(complement(X_82),composition(join(one,one),complement(composition(join(one,one),X_82)))) = join(complement(X_82),complement(composition(join(one,one),X_82))),
inference(resolve,[$cnf( $equal(composition(join(one,one),complement(composition(join(one,one),X_82))),complement(composition(join(one,one),X_82))) )],[refute_0_1092,refute_0_1095]) ).
cnf(refute_0_1097,plain,
( join(complement(X_82),complement(composition(join(one,one),X_82))) != complement(meet(X_82,composition(join(one,one),X_82)))
| join(complement(X_82),composition(join(one,one),complement(composition(join(one,one),X_82)))) != join(complement(X_82),complement(composition(join(one,one),X_82)))
| join(complement(X_82),composition(join(one,one),complement(composition(join(one,one),X_82)))) = complement(meet(X_82,composition(join(one,one),X_82))) ),
inference(subst,[],[refute_0_25:[bind(X,$fot(join(complement(X_82),composition(join(one,one),complement(composition(join(one,one),X_82)))))),bind(Y,$fot(join(complement(X_82),complement(composition(join(one,one),X_82))))),bind(Z,$fot(complement(meet(X_82,composition(join(one,one),X_82)))))]]) ).
cnf(refute_0_1098,plain,
( join(complement(X_82),complement(composition(join(one,one),X_82))) != complement(meet(X_82,composition(join(one,one),X_82)))
| join(complement(X_82),composition(join(one,one),complement(composition(join(one,one),X_82)))) = complement(meet(X_82,composition(join(one,one),X_82))) ),
inference(resolve,[$cnf( $equal(join(complement(X_82),composition(join(one,one),complement(composition(join(one,one),X_82)))),join(complement(X_82),complement(composition(join(one,one),X_82)))) )],[refute_0_1096,refute_0_1097]) ).
cnf(refute_0_1099,plain,
join(complement(X_82),composition(join(one,one),complement(composition(join(one,one),X_82)))) = complement(meet(X_82,composition(join(one,one),X_82))),
inference(resolve,[$cnf( $equal(join(complement(X_82),complement(composition(join(one,one),X_82))),complement(meet(X_82,composition(join(one,one),X_82)))) )],[refute_0_1091,refute_0_1098]) ).
cnf(refute_0_1100,plain,
( join(complement(X_82),composition(join(one,one),complement(composition(join(one,one),X_82)))) != complement(X_82)
| join(complement(X_82),composition(join(one,one),complement(composition(join(one,one),X_82)))) != complement(meet(X_82,composition(join(one,one),X_82)))
| complement(meet(X_82,composition(join(one,one),X_82))) = complement(X_82) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_82),composition(join(one,one),complement(composition(join(one,one),X_82)))),complement(X_82)) ),[0],$fot(complement(meet(X_82,composition(join(one,one),X_82))))]]) ).
cnf(refute_0_1101,plain,
( join(complement(X_82),composition(join(one,one),complement(composition(join(one,one),X_82)))) != complement(X_82)
| complement(meet(X_82,composition(join(one,one),X_82))) = complement(X_82) ),
inference(resolve,[$cnf( $equal(join(complement(X_82),composition(join(one,one),complement(composition(join(one,one),X_82)))),complement(meet(X_82,composition(join(one,one),X_82)))) )],[refute_0_1099,refute_0_1100]) ).
cnf(refute_0_1102,plain,
complement(meet(X_82,composition(join(one,one),X_82))) = complement(X_82),
inference(resolve,[$cnf( $equal(join(complement(X_82),composition(join(one,one),complement(composition(join(one,one),X_82)))),complement(X_82)) )],[refute_0_1090,refute_0_1101]) ).
cnf(refute_0_1103,plain,
complement(meet(X_84,composition(join(one,one),X_84))) = complement(X_84),
inference(subst,[],[refute_0_1102:[bind(X_82,$fot(X_84))]]) ).
cnf(refute_0_1104,plain,
( complement(meet(X_84,composition(join(one,one),X_84))) != complement(X_84)
| top != join(meet(X_84,composition(join(one,one),X_84)),complement(meet(X_84,composition(join(one,one),X_84))))
| top = join(meet(X_84,composition(join(one,one),X_84)),complement(X_84)) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(meet(X_84,composition(join(one,one),X_84)),complement(meet(X_84,composition(join(one,one),X_84))))) ),[1,1],$fot(complement(X_84))]]) ).
cnf(refute_0_1105,plain,
( top != join(meet(X_84,composition(join(one,one),X_84)),complement(meet(X_84,composition(join(one,one),X_84))))
| top = join(meet(X_84,composition(join(one,one),X_84)),complement(X_84)) ),
inference(resolve,[$cnf( $equal(complement(meet(X_84,composition(join(one,one),X_84))),complement(X_84)) )],[refute_0_1103,refute_0_1104]) ).
cnf(refute_0_1106,plain,
top = join(meet(X_84,composition(join(one,one),X_84)),complement(X_84)),
inference(resolve,[$cnf( $equal(top,join(meet(X_84,composition(join(one,one),X_84)),complement(meet(X_84,composition(join(one,one),X_84))))) )],[refute_0_1086,refute_0_1105]) ).
cnf(refute_0_1107,plain,
join(meet(X_84,composition(join(one,one),X_84)),complement(X_84)) = join(complement(X_84),meet(X_84,composition(join(one,one),X_84))),
inference(subst,[],[refute_0_6:[bind(X0,$fot(complement(X_84))),bind(X1,$fot(meet(X_84,composition(join(one,one),X_84))))]]) ).
cnf(refute_0_1108,plain,
( join(meet(X_84,composition(join(one,one),X_84)),complement(X_84)) != join(complement(X_84),meet(X_84,composition(join(one,one),X_84)))
| top != join(meet(X_84,composition(join(one,one),X_84)),complement(X_84))
| top = join(complement(X_84),meet(X_84,composition(join(one,one),X_84))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(meet(X_84,composition(join(one,one),X_84)),complement(X_84))) ),[1],$fot(join(complement(X_84),meet(X_84,composition(join(one,one),X_84))))]]) ).
cnf(refute_0_1109,plain,
( top != join(meet(X_84,composition(join(one,one),X_84)),complement(X_84))
| top = join(complement(X_84),meet(X_84,composition(join(one,one),X_84))) ),
inference(resolve,[$cnf( $equal(join(meet(X_84,composition(join(one,one),X_84)),complement(X_84)),join(complement(X_84),meet(X_84,composition(join(one,one),X_84)))) )],[refute_0_1107,refute_0_1108]) ).
cnf(refute_0_1110,plain,
top = join(complement(X_84),meet(X_84,composition(join(one,one),X_84))),
inference(resolve,[$cnf( $equal(top,join(meet(X_84,composition(join(one,one),X_84)),complement(X_84))) )],[refute_0_1106,refute_0_1109]) ).
cnf(refute_0_1111,plain,
top = join(complement(X0),meet(X0,composition(join(one,one),X0))),
inference(subst,[],[refute_0_1110:[bind(X_84,$fot(X0))]]) ).
cnf(refute_0_1112,plain,
( top != join(complement(X0),meet(X0,composition(join(one,one),X0)))
| join(complement(X0),meet(X0,composition(join(one,one),X0))) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(complement(X0),meet(X0,composition(join(one,one),X0)))))]]) ).
cnf(refute_0_1113,plain,
join(complement(X0),meet(X0,composition(join(one,one),X0))) = top,
inference(resolve,[$cnf( $equal(top,join(complement(X0),meet(X0,composition(join(one,one),X0)))) )],[refute_0_1111,refute_0_1112]) ).
cnf(refute_0_1114,plain,
( X0 != join(meet(meet(X0,composition(join(one,one),X0)),X0),complement(join(complement(X0),meet(X0,composition(join(one,one),X0)))))
| join(complement(X0),meet(X0,composition(join(one,one),X0))) != top
| X0 = join(meet(meet(X0,composition(join(one,one),X0)),X0),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(X0,join(meet(meet(X0,composition(join(one,one),X0)),X0),complement(join(complement(X0),meet(X0,composition(join(one,one),X0)))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_0_1115,plain,
( X0 != join(meet(meet(X0,composition(join(one,one),X0)),X0),complement(join(complement(X0),meet(X0,composition(join(one,one),X0)))))
| X0 = join(meet(meet(X0,composition(join(one,one),X0)),X0),complement(top)) ),
inference(resolve,[$cnf( $equal(join(complement(X0),meet(X0,composition(join(one,one),X0))),top) )],[refute_0_1113,refute_0_1114]) ).
cnf(refute_0_1116,plain,
X0 = join(meet(meet(X0,composition(join(one,one),X0)),X0),complement(top)),
inference(resolve,[$cnf( $equal(X0,join(meet(meet(X0,composition(join(one,one),X0)),X0),complement(join(complement(X0),meet(X0,composition(join(one,one),X0)))))) )],[refute_0_1085,refute_0_1115]) ).
cnf(refute_0_1117,plain,
join(zero,meet(X0,composition(join(one,one),X0))) = meet(X0,composition(join(one,one),X0)),
inference(subst,[],[refute_0_831:[bind(X_14,$fot(meet(X0,composition(join(one,one),X0))))]]) ).
cnf(refute_0_1118,plain,
meet(X_84,composition(join(one,one),X_84)) = join(zero,meet(meet(X_84,composition(join(one,one),X_84)),complement(complement(meet(X_84,composition(join(one,one),X_84)))))),
inference(subst,[],[refute_0_477:[bind(X_14,$fot(meet(X_84,composition(join(one,one),X_84))))]]) ).
cnf(refute_0_1119,plain,
( complement(meet(X_84,composition(join(one,one),X_84))) != complement(X_84)
| meet(X_84,composition(join(one,one),X_84)) != join(zero,meet(meet(X_84,composition(join(one,one),X_84)),complement(complement(meet(X_84,composition(join(one,one),X_84))))))
| meet(X_84,composition(join(one,one),X_84)) = join(zero,meet(meet(X_84,composition(join(one,one),X_84)),complement(complement(X_84)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_84,composition(join(one,one),X_84)),join(zero,meet(meet(X_84,composition(join(one,one),X_84)),complement(complement(meet(X_84,composition(join(one,one),X_84))))))) ),[1,1,1,0],$fot(complement(X_84))]]) ).
cnf(refute_0_1120,plain,
( meet(X_84,composition(join(one,one),X_84)) != join(zero,meet(meet(X_84,composition(join(one,one),X_84)),complement(complement(meet(X_84,composition(join(one,one),X_84))))))
| meet(X_84,composition(join(one,one),X_84)) = join(zero,meet(meet(X_84,composition(join(one,one),X_84)),complement(complement(X_84)))) ),
inference(resolve,[$cnf( $equal(complement(meet(X_84,composition(join(one,one),X_84))),complement(X_84)) )],[refute_0_1103,refute_0_1119]) ).
cnf(refute_0_1121,plain,
meet(X_84,composition(join(one,one),X_84)) = join(zero,meet(meet(X_84,composition(join(one,one),X_84)),complement(complement(X_84)))),
inference(resolve,[$cnf( $equal(meet(X_84,composition(join(one,one),X_84)),join(zero,meet(meet(X_84,composition(join(one,one),X_84)),complement(complement(meet(X_84,composition(join(one,one),X_84))))))) )],[refute_0_1118,refute_0_1120]) ).
cnf(refute_0_1122,plain,
meet(meet(X_84,composition(join(one,one),X_84)),complement(complement(X_84))) = meet(complement(complement(X_84)),meet(X_84,composition(join(one,one),X_84))),
inference(subst,[],[refute_0_185:[bind(X_39,$fot(complement(complement(X_84)))),bind(X_40,$fot(meet(X_84,composition(join(one,one),X_84))))]]) ).
cnf(refute_0_1123,plain,
join(zero,meet(meet(X_84,composition(join(one,one),X_84)),complement(complement(X_84)))) = join(zero,meet(meet(X_84,composition(join(one,one),X_84)),complement(complement(X_84)))),
introduced(tautology,[refl,[$fot(join(zero,meet(meet(X_84,composition(join(one,one),X_84)),complement(complement(X_84)))))]]) ).
cnf(refute_0_1124,plain,
( join(zero,meet(meet(X_84,composition(join(one,one),X_84)),complement(complement(X_84)))) != join(zero,meet(meet(X_84,composition(join(one,one),X_84)),complement(complement(X_84))))
| meet(meet(X_84,composition(join(one,one),X_84)),complement(complement(X_84))) != meet(complement(complement(X_84)),meet(X_84,composition(join(one,one),X_84)))
| join(zero,meet(meet(X_84,composition(join(one,one),X_84)),complement(complement(X_84)))) = join(zero,meet(complement(complement(X_84)),meet(X_84,composition(join(one,one),X_84)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(meet(X_84,composition(join(one,one),X_84)),complement(complement(X_84)))),join(zero,meet(meet(X_84,composition(join(one,one),X_84)),complement(complement(X_84))))) ),[1,1],$fot(meet(complement(complement(X_84)),meet(X_84,composition(join(one,one),X_84))))]]) ).
cnf(refute_0_1125,plain,
( meet(meet(X_84,composition(join(one,one),X_84)),complement(complement(X_84))) != meet(complement(complement(X_84)),meet(X_84,composition(join(one,one),X_84)))
| join(zero,meet(meet(X_84,composition(join(one,one),X_84)),complement(complement(X_84)))) = join(zero,meet(complement(complement(X_84)),meet(X_84,composition(join(one,one),X_84)))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(meet(X_84,composition(join(one,one),X_84)),complement(complement(X_84)))),join(zero,meet(meet(X_84,composition(join(one,one),X_84)),complement(complement(X_84))))) )],[refute_0_1123,refute_0_1124]) ).
cnf(refute_0_1126,plain,
join(zero,meet(meet(X_84,composition(join(one,one),X_84)),complement(complement(X_84)))) = join(zero,meet(complement(complement(X_84)),meet(X_84,composition(join(one,one),X_84)))),
inference(resolve,[$cnf( $equal(meet(meet(X_84,composition(join(one,one),X_84)),complement(complement(X_84))),meet(complement(complement(X_84)),meet(X_84,composition(join(one,one),X_84)))) )],[refute_0_1122,refute_0_1125]) ).
cnf(refute_0_1127,plain,
( join(zero,meet(meet(X_84,composition(join(one,one),X_84)),complement(complement(X_84)))) != join(zero,meet(complement(complement(X_84)),meet(X_84,composition(join(one,one),X_84))))
| meet(X_84,composition(join(one,one),X_84)) != join(zero,meet(meet(X_84,composition(join(one,one),X_84)),complement(complement(X_84))))
| meet(X_84,composition(join(one,one),X_84)) = join(zero,meet(complement(complement(X_84)),meet(X_84,composition(join(one,one),X_84)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_84,composition(join(one,one),X_84)),join(zero,meet(meet(X_84,composition(join(one,one),X_84)),complement(complement(X_84))))) ),[1],$fot(join(zero,meet(complement(complement(X_84)),meet(X_84,composition(join(one,one),X_84)))))]]) ).
cnf(refute_0_1128,plain,
( meet(X_84,composition(join(one,one),X_84)) != join(zero,meet(meet(X_84,composition(join(one,one),X_84)),complement(complement(X_84))))
| meet(X_84,composition(join(one,one),X_84)) = join(zero,meet(complement(complement(X_84)),meet(X_84,composition(join(one,one),X_84)))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(meet(X_84,composition(join(one,one),X_84)),complement(complement(X_84)))),join(zero,meet(complement(complement(X_84)),meet(X_84,composition(join(one,one),X_84))))) )],[refute_0_1126,refute_0_1127]) ).
cnf(refute_0_1129,plain,
meet(X_84,composition(join(one,one),X_84)) = join(zero,meet(complement(complement(X_84)),meet(X_84,composition(join(one,one),X_84)))),
inference(resolve,[$cnf( $equal(meet(X_84,composition(join(one,one),X_84)),join(zero,meet(meet(X_84,composition(join(one,one),X_84)),complement(complement(X_84))))) )],[refute_0_1121,refute_0_1128]) ).
cnf(refute_0_1130,plain,
complement(complement(X_84)) = X_84,
inference(subst,[],[refute_0_944:[bind(X0,$fot(X_84))]]) ).
cnf(refute_0_1131,plain,
meet(complement(complement(X_84)),meet(X_84,composition(join(one,one),X_84))) = meet(complement(complement(X_84)),meet(X_84,composition(join(one,one),X_84))),
introduced(tautology,[refl,[$fot(meet(complement(complement(X_84)),meet(X_84,composition(join(one,one),X_84))))]]) ).
cnf(refute_0_1132,plain,
( complement(complement(X_84)) != X_84
| meet(complement(complement(X_84)),meet(X_84,composition(join(one,one),X_84))) != meet(complement(complement(X_84)),meet(X_84,composition(join(one,one),X_84)))
| meet(complement(complement(X_84)),meet(X_84,composition(join(one,one),X_84))) = meet(X_84,meet(X_84,composition(join(one,one),X_84))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(complement(X_84)),meet(X_84,composition(join(one,one),X_84))),meet(complement(complement(X_84)),meet(X_84,composition(join(one,one),X_84)))) ),[1,0],$fot(X_84)]]) ).
cnf(refute_0_1133,plain,
( complement(complement(X_84)) != X_84
| meet(complement(complement(X_84)),meet(X_84,composition(join(one,one),X_84))) = meet(X_84,meet(X_84,composition(join(one,one),X_84))) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(X_84)),meet(X_84,composition(join(one,one),X_84))),meet(complement(complement(X_84)),meet(X_84,composition(join(one,one),X_84)))) )],[refute_0_1131,refute_0_1132]) ).
cnf(refute_0_1134,plain,
meet(complement(complement(X_84)),meet(X_84,composition(join(one,one),X_84))) = meet(X_84,meet(X_84,composition(join(one,one),X_84))),
inference(resolve,[$cnf( $equal(complement(complement(X_84)),X_84) )],[refute_0_1130,refute_0_1133]) ).
cnf(refute_0_1135,plain,
join(zero,meet(complement(complement(X_84)),meet(X_84,composition(join(one,one),X_84)))) = meet(complement(complement(X_84)),meet(X_84,composition(join(one,one),X_84))),
inference(subst,[],[refute_0_831:[bind(X_14,$fot(meet(complement(complement(X_84)),meet(X_84,composition(join(one,one),X_84)))))]]) ).
cnf(refute_0_1136,plain,
( join(zero,meet(complement(complement(X_84)),meet(X_84,composition(join(one,one),X_84)))) != meet(complement(complement(X_84)),meet(X_84,composition(join(one,one),X_84)))
| meet(complement(complement(X_84)),meet(X_84,composition(join(one,one),X_84))) != meet(X_84,meet(X_84,composition(join(one,one),X_84)))
| join(zero,meet(complement(complement(X_84)),meet(X_84,composition(join(one,one),X_84)))) = meet(X_84,meet(X_84,composition(join(one,one),X_84))) ),
inference(subst,[],[refute_0_25:[bind(X,$fot(join(zero,meet(complement(complement(X_84)),meet(X_84,composition(join(one,one),X_84)))))),bind(Y,$fot(meet(complement(complement(X_84)),meet(X_84,composition(join(one,one),X_84))))),bind(Z,$fot(meet(X_84,meet(X_84,composition(join(one,one),X_84)))))]]) ).
cnf(refute_0_1137,plain,
( meet(complement(complement(X_84)),meet(X_84,composition(join(one,one),X_84))) != meet(X_84,meet(X_84,composition(join(one,one),X_84)))
| join(zero,meet(complement(complement(X_84)),meet(X_84,composition(join(one,one),X_84)))) = meet(X_84,meet(X_84,composition(join(one,one),X_84))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(complement(X_84)),meet(X_84,composition(join(one,one),X_84)))),meet(complement(complement(X_84)),meet(X_84,composition(join(one,one),X_84)))) )],[refute_0_1135,refute_0_1136]) ).
cnf(refute_0_1138,plain,
join(zero,meet(complement(complement(X_84)),meet(X_84,composition(join(one,one),X_84)))) = meet(X_84,meet(X_84,composition(join(one,one),X_84))),
inference(resolve,[$cnf( $equal(meet(complement(complement(X_84)),meet(X_84,composition(join(one,one),X_84))),meet(X_84,meet(X_84,composition(join(one,one),X_84)))) )],[refute_0_1134,refute_0_1137]) ).
cnf(refute_0_1139,plain,
( join(zero,meet(complement(complement(X_84)),meet(X_84,composition(join(one,one),X_84)))) != meet(X_84,meet(X_84,composition(join(one,one),X_84)))
| meet(X_84,composition(join(one,one),X_84)) != join(zero,meet(complement(complement(X_84)),meet(X_84,composition(join(one,one),X_84))))
| meet(X_84,composition(join(one,one),X_84)) = meet(X_84,meet(X_84,composition(join(one,one),X_84))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_84,composition(join(one,one),X_84)),join(zero,meet(complement(complement(X_84)),meet(X_84,composition(join(one,one),X_84))))) ),[1],$fot(meet(X_84,meet(X_84,composition(join(one,one),X_84))))]]) ).
cnf(refute_0_1140,plain,
( meet(X_84,composition(join(one,one),X_84)) != join(zero,meet(complement(complement(X_84)),meet(X_84,composition(join(one,one),X_84))))
| meet(X_84,composition(join(one,one),X_84)) = meet(X_84,meet(X_84,composition(join(one,one),X_84))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(complement(X_84)),meet(X_84,composition(join(one,one),X_84)))),meet(X_84,meet(X_84,composition(join(one,one),X_84)))) )],[refute_0_1138,refute_0_1139]) ).
cnf(refute_0_1141,plain,
meet(X_84,composition(join(one,one),X_84)) = meet(X_84,meet(X_84,composition(join(one,one),X_84))),
inference(resolve,[$cnf( $equal(meet(X_84,composition(join(one,one),X_84)),join(zero,meet(complement(complement(X_84)),meet(X_84,composition(join(one,one),X_84))))) )],[refute_0_1129,refute_0_1140]) ).
cnf(refute_0_1142,plain,
( meet(X_84,composition(join(one,one),X_84)) != meet(X_84,meet(X_84,composition(join(one,one),X_84)))
| meet(X_84,meet(X_84,composition(join(one,one),X_84))) = meet(X_84,composition(join(one,one),X_84)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(meet(X_84,composition(join(one,one),X_84)))),bind(Y,$fot(meet(X_84,meet(X_84,composition(join(one,one),X_84)))))]]) ).
cnf(refute_0_1143,plain,
meet(X_84,meet(X_84,composition(join(one,one),X_84))) = meet(X_84,composition(join(one,one),X_84)),
inference(resolve,[$cnf( $equal(meet(X_84,composition(join(one,one),X_84)),meet(X_84,meet(X_84,composition(join(one,one),X_84)))) )],[refute_0_1141,refute_0_1142]) ).
cnf(refute_0_1144,plain,
meet(X0,meet(X0,composition(join(one,one),X0))) = meet(X0,composition(join(one,one),X0)),
inference(subst,[],[refute_0_1143:[bind(X_84,$fot(X0))]]) ).
cnf(refute_0_1145,plain,
meet(meet(X0,composition(join(one,one),X0)),X0) = meet(X0,meet(X0,composition(join(one,one),X0))),
inference(subst,[],[refute_0_185:[bind(X_39,$fot(X0)),bind(X_40,$fot(meet(X0,composition(join(one,one),X0))))]]) ).
cnf(refute_0_1146,plain,
( meet(X0,meet(X0,composition(join(one,one),X0))) != meet(X0,composition(join(one,one),X0))
| meet(meet(X0,composition(join(one,one),X0)),X0) != meet(X0,meet(X0,composition(join(one,one),X0)))
| meet(meet(X0,composition(join(one,one),X0)),X0) = meet(X0,composition(join(one,one),X0)) ),
inference(subst,[],[refute_0_25:[bind(X,$fot(meet(meet(X0,composition(join(one,one),X0)),X0))),bind(Y,$fot(meet(X0,meet(X0,composition(join(one,one),X0))))),bind(Z,$fot(meet(X0,composition(join(one,one),X0))))]]) ).
cnf(refute_0_1147,plain,
( meet(X0,meet(X0,composition(join(one,one),X0))) != meet(X0,composition(join(one,one),X0))
| meet(meet(X0,composition(join(one,one),X0)),X0) = meet(X0,composition(join(one,one),X0)) ),
inference(resolve,[$cnf( $equal(meet(meet(X0,composition(join(one,one),X0)),X0),meet(X0,meet(X0,composition(join(one,one),X0)))) )],[refute_0_1145,refute_0_1146]) ).
cnf(refute_0_1148,plain,
meet(meet(X0,composition(join(one,one),X0)),X0) = meet(X0,composition(join(one,one),X0)),
inference(resolve,[$cnf( $equal(meet(X0,meet(X0,composition(join(one,one),X0))),meet(X0,composition(join(one,one),X0))) )],[refute_0_1144,refute_0_1147]) ).
cnf(refute_0_1149,plain,
join(zero,meet(meet(X0,composition(join(one,one),X0)),X0)) = join(zero,meet(meet(X0,composition(join(one,one),X0)),X0)),
introduced(tautology,[refl,[$fot(join(zero,meet(meet(X0,composition(join(one,one),X0)),X0)))]]) ).
cnf(refute_0_1150,plain,
( join(zero,meet(meet(X0,composition(join(one,one),X0)),X0)) != join(zero,meet(meet(X0,composition(join(one,one),X0)),X0))
| meet(meet(X0,composition(join(one,one),X0)),X0) != meet(X0,composition(join(one,one),X0))
| join(zero,meet(meet(X0,composition(join(one,one),X0)),X0)) = join(zero,meet(X0,composition(join(one,one),X0))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(meet(X0,composition(join(one,one),X0)),X0)),join(zero,meet(meet(X0,composition(join(one,one),X0)),X0))) ),[1,1],$fot(meet(X0,composition(join(one,one),X0)))]]) ).
cnf(refute_0_1151,plain,
( meet(meet(X0,composition(join(one,one),X0)),X0) != meet(X0,composition(join(one,one),X0))
| join(zero,meet(meet(X0,composition(join(one,one),X0)),X0)) = join(zero,meet(X0,composition(join(one,one),X0))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(meet(X0,composition(join(one,one),X0)),X0)),join(zero,meet(meet(X0,composition(join(one,one),X0)),X0))) )],[refute_0_1149,refute_0_1150]) ).
cnf(refute_0_1152,plain,
join(zero,meet(meet(X0,composition(join(one,one),X0)),X0)) = join(zero,meet(X0,composition(join(one,one),X0))),
inference(resolve,[$cnf( $equal(meet(meet(X0,composition(join(one,one),X0)),X0),meet(X0,composition(join(one,one),X0))) )],[refute_0_1148,refute_0_1151]) ).
cnf(refute_0_1153,plain,
join(complement(top),meet(meet(X0,composition(join(one,one),X0)),X0)) = join(complement(top),meet(meet(X0,composition(join(one,one),X0)),X0)),
introduced(tautology,[refl,[$fot(join(complement(top),meet(meet(X0,composition(join(one,one),X0)),X0)))]]) ).
cnf(refute_0_1154,plain,
( complement(top) != zero
| join(complement(top),meet(meet(X0,composition(join(one,one),X0)),X0)) != join(complement(top),meet(meet(X0,composition(join(one,one),X0)),X0))
| join(complement(top),meet(meet(X0,composition(join(one,one),X0)),X0)) = join(zero,meet(meet(X0,composition(join(one,one),X0)),X0)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(meet(X0,composition(join(one,one),X0)),X0)),join(complement(top),meet(meet(X0,composition(join(one,one),X0)),X0))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_1155,plain,
( complement(top) != zero
| join(complement(top),meet(meet(X0,composition(join(one,one),X0)),X0)) = join(zero,meet(meet(X0,composition(join(one,one),X0)),X0)) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(meet(X0,composition(join(one,one),X0)),X0)),join(complement(top),meet(meet(X0,composition(join(one,one),X0)),X0))) )],[refute_0_1153,refute_0_1154]) ).
cnf(refute_0_1156,plain,
join(complement(top),meet(meet(X0,composition(join(one,one),X0)),X0)) = join(zero,meet(meet(X0,composition(join(one,one),X0)),X0)),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_165,refute_0_1155]) ).
cnf(refute_0_1157,plain,
( join(complement(top),meet(meet(X0,composition(join(one,one),X0)),X0)) != join(zero,meet(meet(X0,composition(join(one,one),X0)),X0))
| join(zero,meet(meet(X0,composition(join(one,one),X0)),X0)) != join(zero,meet(X0,composition(join(one,one),X0)))
| join(complement(top),meet(meet(X0,composition(join(one,one),X0)),X0)) = join(zero,meet(X0,composition(join(one,one),X0))) ),
inference(subst,[],[refute_0_25:[bind(X,$fot(join(complement(top),meet(meet(X0,composition(join(one,one),X0)),X0)))),bind(Y,$fot(join(zero,meet(meet(X0,composition(join(one,one),X0)),X0)))),bind(Z,$fot(join(zero,meet(X0,composition(join(one,one),X0)))))]]) ).
cnf(refute_0_1158,plain,
( join(zero,meet(meet(X0,composition(join(one,one),X0)),X0)) != join(zero,meet(X0,composition(join(one,one),X0)))
| join(complement(top),meet(meet(X0,composition(join(one,one),X0)),X0)) = join(zero,meet(X0,composition(join(one,one),X0))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(meet(X0,composition(join(one,one),X0)),X0)),join(zero,meet(meet(X0,composition(join(one,one),X0)),X0))) )],[refute_0_1156,refute_0_1157]) ).
cnf(refute_0_1159,plain,
join(complement(top),meet(meet(X0,composition(join(one,one),X0)),X0)) = join(zero,meet(X0,composition(join(one,one),X0))),
inference(resolve,[$cnf( $equal(join(zero,meet(meet(X0,composition(join(one,one),X0)),X0)),join(zero,meet(X0,composition(join(one,one),X0)))) )],[refute_0_1152,refute_0_1158]) ).
cnf(refute_0_1160,plain,
( join(complement(top),meet(meet(X0,composition(join(one,one),X0)),X0)) != join(zero,meet(X0,composition(join(one,one),X0)))
| join(zero,meet(X0,composition(join(one,one),X0))) != meet(X0,composition(join(one,one),X0))
| join(complement(top),meet(meet(X0,composition(join(one,one),X0)),X0)) = meet(X0,composition(join(one,one),X0)) ),
inference(subst,[],[refute_0_25:[bind(X,$fot(join(complement(top),meet(meet(X0,composition(join(one,one),X0)),X0)))),bind(Y,$fot(join(zero,meet(X0,composition(join(one,one),X0))))),bind(Z,$fot(meet(X0,composition(join(one,one),X0))))]]) ).
cnf(refute_0_1161,plain,
( join(zero,meet(X0,composition(join(one,one),X0))) != meet(X0,composition(join(one,one),X0))
| join(complement(top),meet(meet(X0,composition(join(one,one),X0)),X0)) = meet(X0,composition(join(one,one),X0)) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(meet(X0,composition(join(one,one),X0)),X0)),join(zero,meet(X0,composition(join(one,one),X0)))) )],[refute_0_1159,refute_0_1160]) ).
cnf(refute_0_1162,plain,
join(complement(top),meet(meet(X0,composition(join(one,one),X0)),X0)) = meet(X0,composition(join(one,one),X0)),
inference(resolve,[$cnf( $equal(join(zero,meet(X0,composition(join(one,one),X0))),meet(X0,composition(join(one,one),X0))) )],[refute_0_1117,refute_0_1161]) ).
cnf(refute_0_1163,plain,
join(meet(meet(X0,composition(join(one,one),X0)),X0),complement(top)) = join(complement(top),meet(meet(X0,composition(join(one,one),X0)),X0)),
inference(subst,[],[refute_0_6:[bind(X0,$fot(complement(top))),bind(X1,$fot(meet(meet(X0,composition(join(one,one),X0)),X0)))]]) ).
cnf(refute_0_1164,plain,
( join(complement(top),meet(meet(X0,composition(join(one,one),X0)),X0)) != meet(X0,composition(join(one,one),X0))
| join(meet(meet(X0,composition(join(one,one),X0)),X0),complement(top)) != join(complement(top),meet(meet(X0,composition(join(one,one),X0)),X0))
| join(meet(meet(X0,composition(join(one,one),X0)),X0),complement(top)) = meet(X0,composition(join(one,one),X0)) ),
inference(subst,[],[refute_0_25:[bind(X,$fot(join(meet(meet(X0,composition(join(one,one),X0)),X0),complement(top)))),bind(Y,$fot(join(complement(top),meet(meet(X0,composition(join(one,one),X0)),X0)))),bind(Z,$fot(meet(X0,composition(join(one,one),X0))))]]) ).
cnf(refute_0_1165,plain,
( join(complement(top),meet(meet(X0,composition(join(one,one),X0)),X0)) != meet(X0,composition(join(one,one),X0))
| join(meet(meet(X0,composition(join(one,one),X0)),X0),complement(top)) = meet(X0,composition(join(one,one),X0)) ),
inference(resolve,[$cnf( $equal(join(meet(meet(X0,composition(join(one,one),X0)),X0),complement(top)),join(complement(top),meet(meet(X0,composition(join(one,one),X0)),X0))) )],[refute_0_1163,refute_0_1164]) ).
cnf(refute_0_1166,plain,
join(meet(meet(X0,composition(join(one,one),X0)),X0),complement(top)) = meet(X0,composition(join(one,one),X0)),
inference(resolve,[$cnf( $equal(join(complement(top),meet(meet(X0,composition(join(one,one),X0)),X0)),meet(X0,composition(join(one,one),X0))) )],[refute_0_1162,refute_0_1165]) ).
cnf(refute_0_1167,plain,
( X0 != join(meet(meet(X0,composition(join(one,one),X0)),X0),complement(top))
| join(meet(meet(X0,composition(join(one,one),X0)),X0),complement(top)) != meet(X0,composition(join(one,one),X0))
| X0 = meet(X0,composition(join(one,one),X0)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X0,meet(X0,composition(join(one,one),X0))) ),[0],$fot(join(meet(meet(X0,composition(join(one,one),X0)),X0),complement(top)))]]) ).
cnf(refute_0_1168,plain,
( X0 != join(meet(meet(X0,composition(join(one,one),X0)),X0),complement(top))
| X0 = meet(X0,composition(join(one,one),X0)) ),
inference(resolve,[$cnf( $equal(join(meet(meet(X0,composition(join(one,one),X0)),X0),complement(top)),meet(X0,composition(join(one,one),X0))) )],[refute_0_1166,refute_0_1167]) ).
cnf(refute_0_1169,plain,
X0 = meet(X0,composition(join(one,one),X0)),
inference(resolve,[$cnf( $equal(X0,join(meet(meet(X0,composition(join(one,one),X0)),X0),complement(top))) )],[refute_0_1116,refute_0_1168]) ).
cnf(refute_0_1170,plain,
X_100 = meet(X_100,composition(join(one,one),X_100)),
inference(subst,[],[refute_0_1169:[bind(X0,$fot(X_100))]]) ).
cnf(refute_0_1171,plain,
composition(join(one,one),X_100) = join(X_100,X_100),
inference(subst,[],[refute_0_98:[bind(X_78,$fot(X_100))]]) ).
cnf(refute_0_1172,plain,
( X_100 != meet(X_100,composition(join(one,one),X_100))
| composition(join(one,one),X_100) != join(X_100,X_100)
| X_100 = meet(X_100,join(X_100,X_100)) ),
introduced(tautology,[equality,[$cnf( $equal(X_100,meet(X_100,composition(join(one,one),X_100))) ),[1,1],$fot(join(X_100,X_100))]]) ).
cnf(refute_0_1173,plain,
( X_100 != meet(X_100,composition(join(one,one),X_100))
| X_100 = meet(X_100,join(X_100,X_100)) ),
inference(resolve,[$cnf( $equal(composition(join(one,one),X_100),join(X_100,X_100)) )],[refute_0_1171,refute_0_1172]) ).
cnf(refute_0_1174,plain,
X_100 = meet(X_100,join(X_100,X_100)),
inference(resolve,[$cnf( $equal(X_100,meet(X_100,composition(join(one,one),X_100))) )],[refute_0_1170,refute_0_1173]) ).
cnf(refute_0_1175,plain,
meet(top,join(X_72,complement(complement(X_72)))) = join(zero,meet(meet(top,join(X_72,complement(complement(X_72)))),complement(complement(meet(top,join(X_72,complement(complement(X_72)))))))),
inference(subst,[],[refute_0_477:[bind(X_14,$fot(meet(top,join(X_72,complement(complement(X_72))))))]]) ).
cnf(refute_0_1176,plain,
complement(X_72) = complement(meet(top,join(X_72,complement(complement(X_72))))),
inference(subst,[],[refute_0_932:[bind(X_65,$fot(X_72))]]) ).
cnf(refute_0_1177,plain,
( complement(X_72) != complement(meet(top,join(X_72,complement(complement(X_72)))))
| complement(meet(top,join(X_72,complement(complement(X_72))))) = complement(X_72) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(complement(X_72))),bind(Y,$fot(complement(meet(top,join(X_72,complement(complement(X_72)))))))]]) ).
cnf(refute_0_1178,plain,
complement(meet(top,join(X_72,complement(complement(X_72))))) = complement(X_72),
inference(resolve,[$cnf( $equal(complement(X_72),complement(meet(top,join(X_72,complement(complement(X_72)))))) )],[refute_0_1176,refute_0_1177]) ).
cnf(refute_0_1179,plain,
( complement(meet(top,join(X_72,complement(complement(X_72))))) != complement(X_72)
| meet(top,join(X_72,complement(complement(X_72)))) != join(zero,meet(meet(top,join(X_72,complement(complement(X_72)))),complement(complement(meet(top,join(X_72,complement(complement(X_72))))))))
| meet(top,join(X_72,complement(complement(X_72)))) = join(zero,meet(meet(top,join(X_72,complement(complement(X_72)))),complement(complement(X_72)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,join(X_72,complement(complement(X_72)))),join(zero,meet(meet(top,join(X_72,complement(complement(X_72)))),complement(complement(meet(top,join(X_72,complement(complement(X_72))))))))) ),[1,1,1,0],$fot(complement(X_72))]]) ).
cnf(refute_0_1180,plain,
( meet(top,join(X_72,complement(complement(X_72)))) != join(zero,meet(meet(top,join(X_72,complement(complement(X_72)))),complement(complement(meet(top,join(X_72,complement(complement(X_72))))))))
| meet(top,join(X_72,complement(complement(X_72)))) = join(zero,meet(meet(top,join(X_72,complement(complement(X_72)))),complement(complement(X_72)))) ),
inference(resolve,[$cnf( $equal(complement(meet(top,join(X_72,complement(complement(X_72))))),complement(X_72)) )],[refute_0_1178,refute_0_1179]) ).
cnf(refute_0_1181,plain,
meet(top,join(X_72,complement(complement(X_72)))) = join(zero,meet(meet(top,join(X_72,complement(complement(X_72)))),complement(complement(X_72)))),
inference(resolve,[$cnf( $equal(meet(top,join(X_72,complement(complement(X_72)))),join(zero,meet(meet(top,join(X_72,complement(complement(X_72)))),complement(complement(meet(top,join(X_72,complement(complement(X_72))))))))) )],[refute_0_1175,refute_0_1180]) ).
cnf(refute_0_1182,plain,
meet(meet(top,join(X_72,complement(complement(X_72)))),complement(complement(X_72))) = meet(complement(complement(X_72)),meet(top,join(X_72,complement(complement(X_72))))),
inference(subst,[],[refute_0_185:[bind(X_39,$fot(complement(complement(X_72)))),bind(X_40,$fot(meet(top,join(X_72,complement(complement(X_72))))))]]) ).
cnf(refute_0_1183,plain,
join(zero,meet(meet(top,join(X_72,complement(complement(X_72)))),complement(complement(X_72)))) = join(zero,meet(meet(top,join(X_72,complement(complement(X_72)))),complement(complement(X_72)))),
introduced(tautology,[refl,[$fot(join(zero,meet(meet(top,join(X_72,complement(complement(X_72)))),complement(complement(X_72)))))]]) ).
cnf(refute_0_1184,plain,
( join(zero,meet(meet(top,join(X_72,complement(complement(X_72)))),complement(complement(X_72)))) != join(zero,meet(meet(top,join(X_72,complement(complement(X_72)))),complement(complement(X_72))))
| meet(meet(top,join(X_72,complement(complement(X_72)))),complement(complement(X_72))) != meet(complement(complement(X_72)),meet(top,join(X_72,complement(complement(X_72)))))
| join(zero,meet(meet(top,join(X_72,complement(complement(X_72)))),complement(complement(X_72)))) = join(zero,meet(complement(complement(X_72)),meet(top,join(X_72,complement(complement(X_72)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(meet(top,join(X_72,complement(complement(X_72)))),complement(complement(X_72)))),join(zero,meet(meet(top,join(X_72,complement(complement(X_72)))),complement(complement(X_72))))) ),[1,1],$fot(meet(complement(complement(X_72)),meet(top,join(X_72,complement(complement(X_72))))))]]) ).
cnf(refute_0_1185,plain,
( meet(meet(top,join(X_72,complement(complement(X_72)))),complement(complement(X_72))) != meet(complement(complement(X_72)),meet(top,join(X_72,complement(complement(X_72)))))
| join(zero,meet(meet(top,join(X_72,complement(complement(X_72)))),complement(complement(X_72)))) = join(zero,meet(complement(complement(X_72)),meet(top,join(X_72,complement(complement(X_72)))))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(meet(top,join(X_72,complement(complement(X_72)))),complement(complement(X_72)))),join(zero,meet(meet(top,join(X_72,complement(complement(X_72)))),complement(complement(X_72))))) )],[refute_0_1183,refute_0_1184]) ).
cnf(refute_0_1186,plain,
join(zero,meet(meet(top,join(X_72,complement(complement(X_72)))),complement(complement(X_72)))) = join(zero,meet(complement(complement(X_72)),meet(top,join(X_72,complement(complement(X_72)))))),
inference(resolve,[$cnf( $equal(meet(meet(top,join(X_72,complement(complement(X_72)))),complement(complement(X_72))),meet(complement(complement(X_72)),meet(top,join(X_72,complement(complement(X_72)))))) )],[refute_0_1182,refute_0_1185]) ).
cnf(refute_0_1187,plain,
( join(zero,meet(meet(top,join(X_72,complement(complement(X_72)))),complement(complement(X_72)))) != join(zero,meet(complement(complement(X_72)),meet(top,join(X_72,complement(complement(X_72))))))
| meet(top,join(X_72,complement(complement(X_72)))) != join(zero,meet(meet(top,join(X_72,complement(complement(X_72)))),complement(complement(X_72))))
| meet(top,join(X_72,complement(complement(X_72)))) = join(zero,meet(complement(complement(X_72)),meet(top,join(X_72,complement(complement(X_72)))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,join(X_72,complement(complement(X_72)))),join(zero,meet(meet(top,join(X_72,complement(complement(X_72)))),complement(complement(X_72))))) ),[1],$fot(join(zero,meet(complement(complement(X_72)),meet(top,join(X_72,complement(complement(X_72)))))))]]) ).
cnf(refute_0_1188,plain,
( meet(top,join(X_72,complement(complement(X_72)))) != join(zero,meet(meet(top,join(X_72,complement(complement(X_72)))),complement(complement(X_72))))
| meet(top,join(X_72,complement(complement(X_72)))) = join(zero,meet(complement(complement(X_72)),meet(top,join(X_72,complement(complement(X_72)))))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(meet(top,join(X_72,complement(complement(X_72)))),complement(complement(X_72)))),join(zero,meet(complement(complement(X_72)),meet(top,join(X_72,complement(complement(X_72))))))) )],[refute_0_1186,refute_0_1187]) ).
cnf(refute_0_1189,plain,
meet(top,join(X_72,complement(complement(X_72)))) = join(zero,meet(complement(complement(X_72)),meet(top,join(X_72,complement(complement(X_72)))))),
inference(resolve,[$cnf( $equal(meet(top,join(X_72,complement(complement(X_72)))),join(zero,meet(meet(top,join(X_72,complement(complement(X_72)))),complement(complement(X_72))))) )],[refute_0_1181,refute_0_1188]) ).
cnf(refute_0_1190,plain,
meet(top,join(X_72,complement(complement(X_72)))) = join(X_72,complement(complement(X_72))),
inference(subst,[],[refute_0_837:[bind(X_64,$fot(join(X_72,complement(complement(X_72)))))]]) ).
cnf(refute_0_1191,plain,
( meet(top,join(X_72,complement(complement(X_72)))) != join(X_72,complement(complement(X_72)))
| meet(top,join(X_72,complement(complement(X_72)))) != join(zero,meet(complement(complement(X_72)),meet(top,join(X_72,complement(complement(X_72))))))
| join(X_72,complement(complement(X_72))) = join(zero,meet(complement(complement(X_72)),meet(top,join(X_72,complement(complement(X_72)))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,join(X_72,complement(complement(X_72)))),join(zero,meet(complement(complement(X_72)),meet(top,join(X_72,complement(complement(X_72))))))) ),[0],$fot(join(X_72,complement(complement(X_72))))]]) ).
cnf(refute_0_1192,plain,
( meet(top,join(X_72,complement(complement(X_72)))) != join(zero,meet(complement(complement(X_72)),meet(top,join(X_72,complement(complement(X_72))))))
| join(X_72,complement(complement(X_72))) = join(zero,meet(complement(complement(X_72)),meet(top,join(X_72,complement(complement(X_72)))))) ),
inference(resolve,[$cnf( $equal(meet(top,join(X_72,complement(complement(X_72)))),join(X_72,complement(complement(X_72)))) )],[refute_0_1190,refute_0_1191]) ).
cnf(refute_0_1193,plain,
meet(complement(complement(X_72)),meet(top,join(X_72,complement(complement(X_72))))) = meet(complement(complement(X_72)),meet(top,join(X_72,complement(complement(X_72))))),
introduced(tautology,[refl,[$fot(meet(complement(complement(X_72)),meet(top,join(X_72,complement(complement(X_72))))))]]) ).
cnf(refute_0_1194,plain,
( meet(complement(complement(X_72)),meet(top,join(X_72,complement(complement(X_72))))) != meet(complement(complement(X_72)),meet(top,join(X_72,complement(complement(X_72)))))
| meet(top,join(X_72,complement(complement(X_72)))) != join(X_72,complement(complement(X_72)))
| meet(complement(complement(X_72)),meet(top,join(X_72,complement(complement(X_72))))) = meet(complement(complement(X_72)),join(X_72,complement(complement(X_72)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(complement(X_72)),meet(top,join(X_72,complement(complement(X_72))))),meet(complement(complement(X_72)),meet(top,join(X_72,complement(complement(X_72)))))) ),[1,1],$fot(join(X_72,complement(complement(X_72))))]]) ).
cnf(refute_0_1195,plain,
( meet(top,join(X_72,complement(complement(X_72)))) != join(X_72,complement(complement(X_72)))
| meet(complement(complement(X_72)),meet(top,join(X_72,complement(complement(X_72))))) = meet(complement(complement(X_72)),join(X_72,complement(complement(X_72)))) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(X_72)),meet(top,join(X_72,complement(complement(X_72))))),meet(complement(complement(X_72)),meet(top,join(X_72,complement(complement(X_72)))))) )],[refute_0_1193,refute_0_1194]) ).
cnf(refute_0_1196,plain,
meet(complement(complement(X_72)),meet(top,join(X_72,complement(complement(X_72))))) = meet(complement(complement(X_72)),join(X_72,complement(complement(X_72)))),
inference(resolve,[$cnf( $equal(meet(top,join(X_72,complement(complement(X_72)))),join(X_72,complement(complement(X_72)))) )],[refute_0_1190,refute_0_1195]) ).
cnf(refute_0_1197,plain,
join(zero,meet(complement(complement(X_72)),meet(top,join(X_72,complement(complement(X_72)))))) = meet(complement(complement(X_72)),meet(top,join(X_72,complement(complement(X_72))))),
inference(subst,[],[refute_0_831:[bind(X_14,$fot(meet(complement(complement(X_72)),meet(top,join(X_72,complement(complement(X_72)))))))]]) ).
cnf(refute_0_1198,plain,
( join(zero,meet(complement(complement(X_72)),meet(top,join(X_72,complement(complement(X_72)))))) != meet(complement(complement(X_72)),meet(top,join(X_72,complement(complement(X_72)))))
| meet(complement(complement(X_72)),meet(top,join(X_72,complement(complement(X_72))))) != meet(complement(complement(X_72)),join(X_72,complement(complement(X_72))))
| join(zero,meet(complement(complement(X_72)),meet(top,join(X_72,complement(complement(X_72)))))) = meet(complement(complement(X_72)),join(X_72,complement(complement(X_72)))) ),
inference(subst,[],[refute_0_25:[bind(X,$fot(join(zero,meet(complement(complement(X_72)),meet(top,join(X_72,complement(complement(X_72)))))))),bind(Y,$fot(meet(complement(complement(X_72)),meet(top,join(X_72,complement(complement(X_72))))))),bind(Z,$fot(meet(complement(complement(X_72)),join(X_72,complement(complement(X_72))))))]]) ).
cnf(refute_0_1199,plain,
( meet(complement(complement(X_72)),meet(top,join(X_72,complement(complement(X_72))))) != meet(complement(complement(X_72)),join(X_72,complement(complement(X_72))))
| join(zero,meet(complement(complement(X_72)),meet(top,join(X_72,complement(complement(X_72)))))) = meet(complement(complement(X_72)),join(X_72,complement(complement(X_72)))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(complement(X_72)),meet(top,join(X_72,complement(complement(X_72)))))),meet(complement(complement(X_72)),meet(top,join(X_72,complement(complement(X_72)))))) )],[refute_0_1197,refute_0_1198]) ).
cnf(refute_0_1200,plain,
join(zero,meet(complement(complement(X_72)),meet(top,join(X_72,complement(complement(X_72)))))) = meet(complement(complement(X_72)),join(X_72,complement(complement(X_72)))),
inference(resolve,[$cnf( $equal(meet(complement(complement(X_72)),meet(top,join(X_72,complement(complement(X_72))))),meet(complement(complement(X_72)),join(X_72,complement(complement(X_72))))) )],[refute_0_1196,refute_0_1199]) ).
cnf(refute_0_1201,plain,
( join(X_72,complement(complement(X_72))) != join(zero,meet(complement(complement(X_72)),meet(top,join(X_72,complement(complement(X_72))))))
| join(zero,meet(complement(complement(X_72)),meet(top,join(X_72,complement(complement(X_72)))))) != meet(complement(complement(X_72)),join(X_72,complement(complement(X_72))))
| join(X_72,complement(complement(X_72))) = meet(complement(complement(X_72)),join(X_72,complement(complement(X_72)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_72,complement(complement(X_72))),meet(complement(complement(X_72)),join(X_72,complement(complement(X_72))))) ),[0],$fot(join(zero,meet(complement(complement(X_72)),meet(top,join(X_72,complement(complement(X_72)))))))]]) ).
cnf(refute_0_1202,plain,
( join(X_72,complement(complement(X_72))) != join(zero,meet(complement(complement(X_72)),meet(top,join(X_72,complement(complement(X_72))))))
| join(X_72,complement(complement(X_72))) = meet(complement(complement(X_72)),join(X_72,complement(complement(X_72)))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(complement(X_72)),meet(top,join(X_72,complement(complement(X_72)))))),meet(complement(complement(X_72)),join(X_72,complement(complement(X_72))))) )],[refute_0_1200,refute_0_1201]) ).
cnf(refute_0_1203,plain,
( meet(top,join(X_72,complement(complement(X_72)))) != join(zero,meet(complement(complement(X_72)),meet(top,join(X_72,complement(complement(X_72))))))
| join(X_72,complement(complement(X_72))) = meet(complement(complement(X_72)),join(X_72,complement(complement(X_72)))) ),
inference(resolve,[$cnf( $equal(join(X_72,complement(complement(X_72))),join(zero,meet(complement(complement(X_72)),meet(top,join(X_72,complement(complement(X_72))))))) )],[refute_0_1192,refute_0_1202]) ).
cnf(refute_0_1204,plain,
join(X_72,complement(complement(X_72))) = meet(complement(complement(X_72)),join(X_72,complement(complement(X_72)))),
inference(resolve,[$cnf( $equal(meet(top,join(X_72,complement(complement(X_72)))),join(zero,meet(complement(complement(X_72)),meet(top,join(X_72,complement(complement(X_72))))))) )],[refute_0_1189,refute_0_1203]) ).
cnf(refute_0_1205,plain,
complement(complement(X_72)) = X_72,
inference(subst,[],[refute_0_944:[bind(X0,$fot(X_72))]]) ).
cnf(refute_0_1206,plain,
join(X_72,complement(complement(X_72))) = join(X_72,complement(complement(X_72))),
introduced(tautology,[refl,[$fot(join(X_72,complement(complement(X_72))))]]) ).
cnf(refute_0_1207,plain,
( complement(complement(X_72)) != X_72
| join(X_72,complement(complement(X_72))) != join(X_72,complement(complement(X_72)))
| join(X_72,complement(complement(X_72))) = join(X_72,X_72) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_72,complement(complement(X_72))),join(X_72,complement(complement(X_72)))) ),[1,1],$fot(X_72)]]) ).
cnf(refute_0_1208,plain,
( complement(complement(X_72)) != X_72
| join(X_72,complement(complement(X_72))) = join(X_72,X_72) ),
inference(resolve,[$cnf( $equal(join(X_72,complement(complement(X_72))),join(X_72,complement(complement(X_72)))) )],[refute_0_1206,refute_0_1207]) ).
cnf(refute_0_1209,plain,
join(X_72,complement(complement(X_72))) = join(X_72,X_72),
inference(resolve,[$cnf( $equal(complement(complement(X_72)),X_72) )],[refute_0_1205,refute_0_1208]) ).
cnf(refute_0_1210,plain,
( join(X_72,complement(complement(X_72))) != join(X_72,X_72)
| join(X_72,complement(complement(X_72))) != meet(complement(complement(X_72)),join(X_72,complement(complement(X_72))))
| join(X_72,X_72) = meet(complement(complement(X_72)),join(X_72,complement(complement(X_72)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_72,complement(complement(X_72))),meet(complement(complement(X_72)),join(X_72,complement(complement(X_72))))) ),[0],$fot(join(X_72,X_72))]]) ).
cnf(refute_0_1211,plain,
( join(X_72,complement(complement(X_72))) != meet(complement(complement(X_72)),join(X_72,complement(complement(X_72))))
| join(X_72,X_72) = meet(complement(complement(X_72)),join(X_72,complement(complement(X_72)))) ),
inference(resolve,[$cnf( $equal(join(X_72,complement(complement(X_72))),join(X_72,X_72)) )],[refute_0_1209,refute_0_1210]) ).
cnf(refute_0_1212,plain,
meet(X_72,join(X_72,complement(complement(X_72)))) = meet(X_72,join(X_72,complement(complement(X_72)))),
introduced(tautology,[refl,[$fot(meet(X_72,join(X_72,complement(complement(X_72)))))]]) ).
cnf(refute_0_1213,plain,
( join(X_72,complement(complement(X_72))) != join(X_72,X_72)
| meet(X_72,join(X_72,complement(complement(X_72)))) != meet(X_72,join(X_72,complement(complement(X_72))))
| meet(X_72,join(X_72,complement(complement(X_72)))) = meet(X_72,join(X_72,X_72)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_72,join(X_72,complement(complement(X_72)))),meet(X_72,join(X_72,complement(complement(X_72))))) ),[1,1],$fot(join(X_72,X_72))]]) ).
cnf(refute_0_1214,plain,
( join(X_72,complement(complement(X_72))) != join(X_72,X_72)
| meet(X_72,join(X_72,complement(complement(X_72)))) = meet(X_72,join(X_72,X_72)) ),
inference(resolve,[$cnf( $equal(meet(X_72,join(X_72,complement(complement(X_72)))),meet(X_72,join(X_72,complement(complement(X_72))))) )],[refute_0_1212,refute_0_1213]) ).
cnf(refute_0_1215,plain,
meet(X_72,join(X_72,complement(complement(X_72)))) = meet(X_72,join(X_72,X_72)),
inference(resolve,[$cnf( $equal(join(X_72,complement(complement(X_72))),join(X_72,X_72)) )],[refute_0_1209,refute_0_1214]) ).
cnf(refute_0_1216,plain,
meet(complement(complement(X_72)),join(X_72,complement(complement(X_72)))) = meet(complement(complement(X_72)),join(X_72,complement(complement(X_72)))),
introduced(tautology,[refl,[$fot(meet(complement(complement(X_72)),join(X_72,complement(complement(X_72)))))]]) ).
cnf(refute_0_1217,plain,
( complement(complement(X_72)) != X_72
| meet(complement(complement(X_72)),join(X_72,complement(complement(X_72)))) != meet(complement(complement(X_72)),join(X_72,complement(complement(X_72))))
| meet(complement(complement(X_72)),join(X_72,complement(complement(X_72)))) = meet(X_72,join(X_72,complement(complement(X_72)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(complement(X_72)),join(X_72,complement(complement(X_72)))),meet(complement(complement(X_72)),join(X_72,complement(complement(X_72))))) ),[1,0],$fot(X_72)]]) ).
cnf(refute_0_1218,plain,
( complement(complement(X_72)) != X_72
| meet(complement(complement(X_72)),join(X_72,complement(complement(X_72)))) = meet(X_72,join(X_72,complement(complement(X_72)))) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(X_72)),join(X_72,complement(complement(X_72)))),meet(complement(complement(X_72)),join(X_72,complement(complement(X_72))))) )],[refute_0_1216,refute_0_1217]) ).
cnf(refute_0_1219,plain,
meet(complement(complement(X_72)),join(X_72,complement(complement(X_72)))) = meet(X_72,join(X_72,complement(complement(X_72)))),
inference(resolve,[$cnf( $equal(complement(complement(X_72)),X_72) )],[refute_0_1205,refute_0_1218]) ).
cnf(refute_0_1220,plain,
( meet(X_72,join(X_72,complement(complement(X_72)))) != meet(X_72,join(X_72,X_72))
| meet(complement(complement(X_72)),join(X_72,complement(complement(X_72)))) != meet(X_72,join(X_72,complement(complement(X_72))))
| meet(complement(complement(X_72)),join(X_72,complement(complement(X_72)))) = meet(X_72,join(X_72,X_72)) ),
inference(subst,[],[refute_0_25:[bind(X,$fot(meet(complement(complement(X_72)),join(X_72,complement(complement(X_72)))))),bind(Y,$fot(meet(X_72,join(X_72,complement(complement(X_72)))))),bind(Z,$fot(meet(X_72,join(X_72,X_72))))]]) ).
cnf(refute_0_1221,plain,
( meet(X_72,join(X_72,complement(complement(X_72)))) != meet(X_72,join(X_72,X_72))
| meet(complement(complement(X_72)),join(X_72,complement(complement(X_72)))) = meet(X_72,join(X_72,X_72)) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(X_72)),join(X_72,complement(complement(X_72)))),meet(X_72,join(X_72,complement(complement(X_72))))) )],[refute_0_1219,refute_0_1220]) ).
cnf(refute_0_1222,plain,
meet(complement(complement(X_72)),join(X_72,complement(complement(X_72)))) = meet(X_72,join(X_72,X_72)),
inference(resolve,[$cnf( $equal(meet(X_72,join(X_72,complement(complement(X_72)))),meet(X_72,join(X_72,X_72))) )],[refute_0_1215,refute_0_1221]) ).
cnf(refute_0_1223,plain,
( join(X_72,X_72) != meet(complement(complement(X_72)),join(X_72,complement(complement(X_72))))
| meet(complement(complement(X_72)),join(X_72,complement(complement(X_72)))) != meet(X_72,join(X_72,X_72))
| join(X_72,X_72) = meet(X_72,join(X_72,X_72)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_72,X_72),meet(X_72,join(X_72,X_72))) ),[0],$fot(meet(complement(complement(X_72)),join(X_72,complement(complement(X_72)))))]]) ).
cnf(refute_0_1224,plain,
( join(X_72,X_72) != meet(complement(complement(X_72)),join(X_72,complement(complement(X_72))))
| join(X_72,X_72) = meet(X_72,join(X_72,X_72)) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(X_72)),join(X_72,complement(complement(X_72)))),meet(X_72,join(X_72,X_72))) )],[refute_0_1222,refute_0_1223]) ).
cnf(refute_0_1225,plain,
( join(X_72,complement(complement(X_72))) != meet(complement(complement(X_72)),join(X_72,complement(complement(X_72))))
| join(X_72,X_72) = meet(X_72,join(X_72,X_72)) ),
inference(resolve,[$cnf( $equal(join(X_72,X_72),meet(complement(complement(X_72)),join(X_72,complement(complement(X_72))))) )],[refute_0_1211,refute_0_1224]) ).
cnf(refute_0_1226,plain,
join(X_72,X_72) = meet(X_72,join(X_72,X_72)),
inference(resolve,[$cnf( $equal(join(X_72,complement(complement(X_72))),meet(complement(complement(X_72)),join(X_72,complement(complement(X_72))))) )],[refute_0_1204,refute_0_1225]) ).
cnf(refute_0_1227,plain,
( join(X_72,X_72) != meet(X_72,join(X_72,X_72))
| meet(X_72,join(X_72,X_72)) = join(X_72,X_72) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(X_72,X_72))),bind(Y,$fot(meet(X_72,join(X_72,X_72))))]]) ).
cnf(refute_0_1228,plain,
meet(X_72,join(X_72,X_72)) = join(X_72,X_72),
inference(resolve,[$cnf( $equal(join(X_72,X_72),meet(X_72,join(X_72,X_72))) )],[refute_0_1226,refute_0_1227]) ).
cnf(refute_0_1229,plain,
meet(X_100,join(X_100,X_100)) = join(X_100,X_100),
inference(subst,[],[refute_0_1228:[bind(X_72,$fot(X_100))]]) ).
cnf(refute_0_1230,plain,
( X_100 != meet(X_100,join(X_100,X_100))
| meet(X_100,join(X_100,X_100)) != join(X_100,X_100)
| X_100 = join(X_100,X_100) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_100,join(X_100,X_100)) ),[0],$fot(meet(X_100,join(X_100,X_100)))]]) ).
cnf(refute_0_1231,plain,
( X_100 != meet(X_100,join(X_100,X_100))
| X_100 = join(X_100,X_100) ),
inference(resolve,[$cnf( $equal(meet(X_100,join(X_100,X_100)),join(X_100,X_100)) )],[refute_0_1229,refute_0_1230]) ).
cnf(refute_0_1232,plain,
X_100 = join(X_100,X_100),
inference(resolve,[$cnf( $equal(X_100,meet(X_100,join(X_100,X_100))) )],[refute_0_1174,refute_0_1231]) ).
cnf(refute_0_1233,plain,
( X_100 != join(X_100,X_100)
| join(X_100,X_100) = X_100 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(X_100)),bind(Y,$fot(join(X_100,X_100)))]]) ).
cnf(refute_0_1234,plain,
join(X_100,X_100) = X_100,
inference(resolve,[$cnf( $equal(X_100,join(X_100,X_100)) )],[refute_0_1232,refute_0_1233]) ).
cnf(refute_0_1235,plain,
join(one,one) = one,
inference(subst,[],[refute_0_1234:[bind(X_100,$fot(one))]]) ).
cnf(refute_0_1236,plain,
join(X0,join(one,one)) = join(X0,join(one,one)),
introduced(tautology,[refl,[$fot(join(X0,join(one,one)))]]) ).
cnf(refute_0_1237,plain,
( join(X0,join(one,one)) != join(X0,join(one,one))
| join(one,one) != one
| join(X0,join(one,one)) = join(X0,one) ),
introduced(tautology,[equality,[$cnf( $equal(join(X0,join(one,one)),join(X0,join(one,one))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_1238,plain,
( join(one,one) != one
| join(X0,join(one,one)) = join(X0,one) ),
inference(resolve,[$cnf( $equal(join(X0,join(one,one)),join(X0,join(one,one))) )],[refute_0_1236,refute_0_1237]) ).
cnf(refute_0_1239,plain,
join(X0,join(one,one)) = join(X0,one),
inference(resolve,[$cnf( $equal(join(one,one),one) )],[refute_0_1235,refute_0_1238]) ).
cnf(refute_0_1240,plain,
converse(join(X0,join(one,one))) = converse(join(X0,join(one,one))),
introduced(tautology,[refl,[$fot(converse(join(X0,join(one,one))))]]) ).
cnf(refute_0_1241,plain,
( converse(join(X0,join(one,one))) != converse(join(X0,join(one,one)))
| join(X0,join(one,one)) != join(X0,one)
| converse(join(X0,join(one,one))) = converse(join(X0,one)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X0,join(one,one))),converse(join(X0,join(one,one)))) ),[1,0],$fot(join(X0,one))]]) ).
cnf(refute_0_1242,plain,
( join(X0,join(one,one)) != join(X0,one)
| converse(join(X0,join(one,one))) = converse(join(X0,one)) ),
inference(resolve,[$cnf( $equal(converse(join(X0,join(one,one))),converse(join(X0,join(one,one)))) )],[refute_0_1240,refute_0_1241]) ).
cnf(refute_0_1243,plain,
converse(join(X0,join(one,one))) = converse(join(X0,one)),
inference(resolve,[$cnf( $equal(join(X0,join(one,one)),join(X0,one)) )],[refute_0_1239,refute_0_1242]) ).
cnf(refute_0_1244,plain,
( converse(join(X0,join(one,one))) != converse(join(X0,one))
| converse(join(X0,join(one,one))) != converse(join(one,join(X0,one)))
| converse(join(X0,one)) = converse(join(one,join(X0,one))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X0,join(one,one))),converse(join(one,join(X0,one)))) ),[0],$fot(converse(join(X0,one)))]]) ).
cnf(refute_0_1245,plain,
( converse(join(X0,join(one,one))) != converse(join(one,join(X0,one)))
| converse(join(X0,one)) = converse(join(one,join(X0,one))) ),
inference(resolve,[$cnf( $equal(converse(join(X0,join(one,one))),converse(join(X0,one))) )],[refute_0_1243,refute_0_1244]) ).
cnf(refute_0_1246,plain,
converse(join(X0,one)) = converse(join(one,join(X0,one))),
inference(resolve,[$cnf( $equal(converse(join(X0,join(one,one))),converse(join(one,join(X0,one)))) )],[refute_0_1084,refute_0_1245]) ).
cnf(refute_0_1247,plain,
( converse(join(X0,one)) != converse(join(one,join(X0,one)))
| converse(join(one,join(X0,one))) = converse(join(X0,one)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(converse(join(X0,one)))),bind(Y,$fot(converse(join(one,join(X0,one)))))]]) ).
cnf(refute_0_1248,plain,
converse(join(one,join(X0,one))) = converse(join(X0,one)),
inference(resolve,[$cnf( $equal(converse(join(X0,one)),converse(join(one,join(X0,one)))) )],[refute_0_1246,refute_0_1247]) ).
cnf(refute_0_1249,plain,
converse(join(one,join(X1,one))) = converse(join(X1,one)),
inference(subst,[],[refute_0_1248:[bind(X0,$fot(X1))]]) ).
cnf(refute_0_1250,plain,
( converse(join(one,join(X1,one))) != converse(join(X1,one))
| converse(join(one,join(one,X1))) != converse(join(one,join(X1,one)))
| converse(join(one,join(one,X1))) = converse(join(X1,one)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,join(one,X1))),converse(join(one,join(X1,one)))) ),[1],$fot(converse(join(X1,one)))]]) ).
cnf(refute_0_1251,plain,
( converse(join(one,join(one,X1))) != converse(join(one,join(X1,one)))
| converse(join(one,join(one,X1))) = converse(join(X1,one)) ),
inference(resolve,[$cnf( $equal(converse(join(one,join(X1,one))),converse(join(X1,one))) )],[refute_0_1249,refute_0_1250]) ).
cnf(refute_0_1252,plain,
converse(join(one,join(one,X1))) = converse(join(X1,one)),
inference(resolve,[$cnf( $equal(converse(join(one,join(one,X1))),converse(join(one,join(X1,one)))) )],[refute_0_1056,refute_0_1251]) ).
cnf(refute_0_1253,plain,
join(X1,join(X1,X2)) = join(join(X1,X1),X2),
inference(subst,[],[refute_0_461:[bind(X0,$fot(X1))]]) ).
cnf(refute_0_1254,plain,
composition(join(one,one),X1) = join(X1,X1),
inference(subst,[],[refute_0_98:[bind(X_78,$fot(X1))]]) ).
cnf(refute_0_1255,plain,
( composition(join(one,one),X1) != join(X1,X1)
| join(X1,X1) = composition(join(one,one),X1) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(composition(join(one,one),X1))),bind(Y,$fot(join(X1,X1)))]]) ).
cnf(refute_0_1256,plain,
join(X1,X1) = composition(join(one,one),X1),
inference(resolve,[$cnf( $equal(composition(join(one,one),X1),join(X1,X1)) )],[refute_0_1254,refute_0_1255]) ).
cnf(refute_0_1257,plain,
( join(X1,X1) != composition(join(one,one),X1)
| join(X1,join(X1,X2)) != join(join(X1,X1),X2)
| join(X1,join(X1,X2)) = join(composition(join(one,one),X1),X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(X1,join(X1,X2)),join(join(X1,X1),X2)) ),[1,0],$fot(composition(join(one,one),X1))]]) ).
cnf(refute_0_1258,plain,
( join(X1,join(X1,X2)) != join(join(X1,X1),X2)
| join(X1,join(X1,X2)) = join(composition(join(one,one),X1),X2) ),
inference(resolve,[$cnf( $equal(join(X1,X1),composition(join(one,one),X1)) )],[refute_0_1256,refute_0_1257]) ).
cnf(refute_0_1259,plain,
join(X1,join(X1,X2)) = join(composition(join(one,one),X1),X2),
inference(resolve,[$cnf( $equal(join(X1,join(X1,X2)),join(join(X1,X1),X2)) )],[refute_0_1253,refute_0_1258]) ).
cnf(refute_0_1260,plain,
composition(one,X1) = X1,
inference(subst,[],[refute_0_668:[bind(X_6,$fot(X1))]]) ).
cnf(refute_0_1261,plain,
composition(join(one,one),X1) = composition(join(one,one),X1),
introduced(tautology,[refl,[$fot(composition(join(one,one),X1))]]) ).
cnf(refute_0_1262,plain,
( composition(join(one,one),X1) != composition(join(one,one),X1)
| join(one,one) != one
| composition(join(one,one),X1) = composition(one,X1) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,one),X1),composition(join(one,one),X1)) ),[1,0],$fot(one)]]) ).
cnf(refute_0_1263,plain,
( join(one,one) != one
| composition(join(one,one),X1) = composition(one,X1) ),
inference(resolve,[$cnf( $equal(composition(join(one,one),X1),composition(join(one,one),X1)) )],[refute_0_1261,refute_0_1262]) ).
cnf(refute_0_1264,plain,
composition(join(one,one),X1) = composition(one,X1),
inference(resolve,[$cnf( $equal(join(one,one),one) )],[refute_0_1235,refute_0_1263]) ).
cnf(refute_0_1265,plain,
( composition(join(one,one),X1) != composition(one,X1)
| composition(one,X1) != X1
| composition(join(one,one),X1) = X1 ),
inference(subst,[],[refute_0_25:[bind(X,$fot(composition(join(one,one),X1))),bind(Y,$fot(composition(one,X1))),bind(Z,$fot(X1))]]) ).
cnf(refute_0_1266,plain,
( composition(one,X1) != X1
| composition(join(one,one),X1) = X1 ),
inference(resolve,[$cnf( $equal(composition(join(one,one),X1),composition(one,X1)) )],[refute_0_1264,refute_0_1265]) ).
cnf(refute_0_1267,plain,
composition(join(one,one),X1) = X1,
inference(resolve,[$cnf( $equal(composition(one,X1),X1) )],[refute_0_1260,refute_0_1266]) ).
cnf(refute_0_1268,plain,
join(composition(join(one,one),X1),X2) = join(composition(join(one,one),X1),X2),
introduced(tautology,[refl,[$fot(join(composition(join(one,one),X1),X2))]]) ).
cnf(refute_0_1269,plain,
( composition(join(one,one),X1) != X1
| join(composition(join(one,one),X1),X2) != join(composition(join(one,one),X1),X2)
| join(composition(join(one,one),X1),X2) = join(X1,X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(join(one,one),X1),X2),join(composition(join(one,one),X1),X2)) ),[1,0],$fot(X1)]]) ).
cnf(refute_0_1270,plain,
( composition(join(one,one),X1) != X1
| join(composition(join(one,one),X1),X2) = join(X1,X2) ),
inference(resolve,[$cnf( $equal(join(composition(join(one,one),X1),X2),join(composition(join(one,one),X1),X2)) )],[refute_0_1268,refute_0_1269]) ).
cnf(refute_0_1271,plain,
join(composition(join(one,one),X1),X2) = join(X1,X2),
inference(resolve,[$cnf( $equal(composition(join(one,one),X1),X1) )],[refute_0_1267,refute_0_1270]) ).
cnf(refute_0_1272,plain,
( join(X1,join(X1,X2)) != join(composition(join(one,one),X1),X2)
| join(composition(join(one,one),X1),X2) != join(X1,X2)
| join(X1,join(X1,X2)) = join(X1,X2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X1,join(X1,X2)),join(X1,X2)) ),[0],$fot(join(composition(join(one,one),X1),X2))]]) ).
cnf(refute_0_1273,plain,
( join(X1,join(X1,X2)) != join(composition(join(one,one),X1),X2)
| join(X1,join(X1,X2)) = join(X1,X2) ),
inference(resolve,[$cnf( $equal(join(composition(join(one,one),X1),X2),join(X1,X2)) )],[refute_0_1271,refute_0_1272]) ).
cnf(refute_0_1274,plain,
join(X1,join(X1,X2)) = join(X1,X2),
inference(resolve,[$cnf( $equal(join(X1,join(X1,X2)),join(composition(join(one,one),X1),X2)) )],[refute_0_1259,refute_0_1273]) ).
cnf(refute_0_1275,plain,
join(one,join(one,X1)) = join(one,X1),
inference(subst,[],[refute_0_1274:[bind(X1,$fot(one)),bind(X2,$fot(X1))]]) ).
cnf(refute_0_1276,plain,
converse(join(one,join(one,X1))) = converse(join(one,join(one,X1))),
introduced(tautology,[refl,[$fot(converse(join(one,join(one,X1))))]]) ).
cnf(refute_0_1277,plain,
( converse(join(one,join(one,X1))) != converse(join(one,join(one,X1)))
| join(one,join(one,X1)) != join(one,X1)
| converse(join(one,join(one,X1))) = converse(join(one,X1)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,join(one,X1))),converse(join(one,join(one,X1)))) ),[1,0],$fot(join(one,X1))]]) ).
cnf(refute_0_1278,plain,
( join(one,join(one,X1)) != join(one,X1)
| converse(join(one,join(one,X1))) = converse(join(one,X1)) ),
inference(resolve,[$cnf( $equal(converse(join(one,join(one,X1))),converse(join(one,join(one,X1)))) )],[refute_0_1276,refute_0_1277]) ).
cnf(refute_0_1279,plain,
converse(join(one,join(one,X1))) = converse(join(one,X1)),
inference(resolve,[$cnf( $equal(join(one,join(one,X1)),join(one,X1)) )],[refute_0_1275,refute_0_1278]) ).
cnf(refute_0_1280,plain,
( converse(join(one,join(one,X1))) != converse(join(X1,one))
| converse(join(one,join(one,X1))) != converse(join(one,X1))
| converse(join(one,X1)) = converse(join(X1,one)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,join(one,X1))),converse(join(X1,one))) ),[0],$fot(converse(join(one,X1)))]]) ).
cnf(refute_0_1281,plain,
( converse(join(one,join(one,X1))) != converse(join(X1,one))
| converse(join(one,X1)) = converse(join(X1,one)) ),
inference(resolve,[$cnf( $equal(converse(join(one,join(one,X1))),converse(join(one,X1))) )],[refute_0_1279,refute_0_1280]) ).
cnf(refute_0_1282,plain,
converse(join(one,X1)) = converse(join(X1,one)),
inference(resolve,[$cnf( $equal(converse(join(one,join(one,X1))),converse(join(X1,one))) )],[refute_0_1252,refute_0_1281]) ).
cnf(refute_0_1283,plain,
( converse(join(one,X1)) != converse(join(X1,one))
| converse(join(X1,one)) = converse(join(one,X1)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(converse(join(one,X1)))),bind(Y,$fot(converse(join(X1,one))))]]) ).
cnf(refute_0_1284,plain,
converse(join(X1,one)) = converse(join(one,X1)),
inference(resolve,[$cnf( $equal(converse(join(one,X1)),converse(join(X1,one))) )],[refute_0_1282,refute_0_1283]) ).
cnf(refute_0_1285,plain,
converse(join(join(complement(converse(top)),converse(complement(converse(one)))),one)) = converse(join(one,join(complement(converse(top)),converse(complement(converse(one)))))),
inference(subst,[],[refute_0_1284:[bind(X1,$fot(join(complement(converse(top)),converse(complement(converse(one))))))]]) ).
cnf(refute_0_1286,plain,
( converse(join(join(complement(converse(top)),converse(complement(converse(one)))),one)) != converse(join(one,join(complement(converse(top)),converse(complement(converse(one))))))
| converse(join(one,join(complement(converse(top)),converse(complement(converse(one)))))) != join(one,join(complement(converse(one)),converse(complement(converse(top)))))
| converse(join(join(complement(converse(top)),converse(complement(converse(one)))),one)) = join(one,join(complement(converse(one)),converse(complement(converse(top))))) ),
inference(subst,[],[refute_0_25:[bind(X,$fot(converse(join(join(complement(converse(top)),converse(complement(converse(one)))),one)))),bind(Y,$fot(converse(join(one,join(complement(converse(top)),converse(complement(converse(one)))))))),bind(Z,$fot(join(one,join(complement(converse(one)),converse(complement(converse(top)))))))]]) ).
cnf(refute_0_1287,plain,
( converse(join(one,join(complement(converse(top)),converse(complement(converse(one)))))) != join(one,join(complement(converse(one)),converse(complement(converse(top)))))
| converse(join(join(complement(converse(top)),converse(complement(converse(one)))),one)) = join(one,join(complement(converse(one)),converse(complement(converse(top))))) ),
inference(resolve,[$cnf( $equal(converse(join(join(complement(converse(top)),converse(complement(converse(one)))),one)),converse(join(one,join(complement(converse(top)),converse(complement(converse(one))))))) )],[refute_0_1285,refute_0_1286]) ).
cnf(refute_0_1288,plain,
converse(join(join(complement(converse(top)),converse(complement(converse(one)))),one)) = join(one,join(complement(converse(one)),converse(complement(converse(top))))),
inference(resolve,[$cnf( $equal(converse(join(one,join(complement(converse(top)),converse(complement(converse(one)))))),join(one,join(complement(converse(one)),converse(complement(converse(top)))))) )],[refute_0_1024,refute_0_1287]) ).
cnf(refute_0_1289,plain,
( converse(join(join(complement(converse(top)),converse(complement(converse(one)))),one)) != join(one,join(complement(converse(one)),converse(complement(converse(top)))))
| join(one,join(complement(converse(one)),converse(complement(converse(top))))) != top
| converse(join(join(complement(converse(top)),converse(complement(converse(one)))),one)) = top ),
inference(subst,[],[refute_0_25:[bind(X,$fot(converse(join(join(complement(converse(top)),converse(complement(converse(one)))),one)))),bind(Y,$fot(join(one,join(complement(converse(one)),converse(complement(converse(top))))))),bind(Z,$fot(top))]]) ).
cnf(refute_0_1290,plain,
( join(one,join(complement(converse(one)),converse(complement(converse(top))))) != top
| converse(join(join(complement(converse(top)),converse(complement(converse(one)))),one)) = top ),
inference(resolve,[$cnf( $equal(converse(join(join(complement(converse(top)),converse(complement(converse(one)))),one)),join(one,join(complement(converse(one)),converse(complement(converse(top)))))) )],[refute_0_1288,refute_0_1289]) ).
cnf(refute_0_1291,plain,
converse(join(join(complement(converse(top)),converse(complement(converse(one)))),one)) = top,
inference(resolve,[$cnf( $equal(join(one,join(complement(converse(one)),converse(complement(converse(top))))),top) )],[refute_0_989,refute_0_1290]) ).
cnf(refute_0_1292,plain,
( converse(join(join(complement(converse(top)),converse(complement(converse(one)))),one)) != top
| converse(top) != converse(join(join(complement(converse(top)),converse(complement(converse(one)))),one))
| converse(top) = top ),
introduced(tautology,[equality,[$cnf( $equal(converse(top),converse(join(join(complement(converse(top)),converse(complement(converse(one)))),one))) ),[1],$fot(top)]]) ).
cnf(refute_0_1293,plain,
( converse(top) != converse(join(join(complement(converse(top)),converse(complement(converse(one)))),one))
| converse(top) = top ),
inference(resolve,[$cnf( $equal(converse(join(join(complement(converse(top)),converse(complement(converse(one)))),one)),top) )],[refute_0_1291,refute_0_1292]) ).
cnf(refute_0_1294,plain,
converse(top) = top,
inference(resolve,[$cnf( $equal(converse(top),converse(join(join(complement(converse(top)),converse(complement(converse(one)))),one))) )],[refute_0_927,refute_0_1293]) ).
cnf(refute_0_1295,plain,
complement(converse(top)) = complement(converse(top)),
introduced(tautology,[refl,[$fot(complement(converse(top)))]]) ).
cnf(refute_0_1296,plain,
( complement(converse(top)) != complement(converse(top))
| converse(top) != top
| complement(converse(top)) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(top)),complement(converse(top))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_1297,plain,
( converse(top) != top
| complement(converse(top)) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(converse(top)),complement(converse(top))) )],[refute_0_1295,refute_0_1296]) ).
cnf(refute_0_1298,plain,
complement(converse(top)) = complement(top),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_1294,refute_0_1297]) ).
cnf(refute_0_1299,plain,
( complement(converse(top)) != complement(top)
| complement(top) != zero
| complement(converse(top)) = zero ),
inference(subst,[],[refute_0_25:[bind(X,$fot(complement(converse(top)))),bind(Y,$fot(complement(top))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_1300,plain,
( complement(top) != zero
| complement(converse(top)) = zero ),
inference(resolve,[$cnf( $equal(complement(converse(top)),complement(top)) )],[refute_0_1298,refute_0_1299]) ).
cnf(refute_0_1301,plain,
complement(converse(top)) = zero,
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_165,refute_0_1300]) ).
cnf(refute_0_1302,plain,
join(complement(converse(top)),converse(complement(converse(complement(X0))))) = join(complement(converse(top)),converse(complement(converse(complement(X0))))),
introduced(tautology,[refl,[$fot(join(complement(converse(top)),converse(complement(converse(complement(X0))))))]]) ).
cnf(refute_0_1303,plain,
( complement(converse(top)) != zero
| join(complement(converse(top)),converse(complement(converse(complement(X0))))) != join(complement(converse(top)),converse(complement(converse(complement(X0)))))
| join(complement(converse(top)),converse(complement(converse(complement(X0))))) = join(zero,converse(complement(converse(complement(X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(top)),converse(complement(converse(complement(X0))))),join(complement(converse(top)),converse(complement(converse(complement(X0)))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_1304,plain,
( complement(converse(top)) != zero
| join(complement(converse(top)),converse(complement(converse(complement(X0))))) = join(zero,converse(complement(converse(complement(X0))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),converse(complement(converse(complement(X0))))),join(complement(converse(top)),converse(complement(converse(complement(X0)))))) )],[refute_0_1302,refute_0_1303]) ).
cnf(refute_0_1305,plain,
join(complement(converse(top)),converse(complement(converse(complement(X0))))) = join(zero,converse(complement(converse(complement(X0))))),
inference(resolve,[$cnf( $equal(complement(converse(top)),zero) )],[refute_0_1301,refute_0_1304]) ).
cnf(refute_0_1306,plain,
( join(complement(converse(top)),converse(complement(converse(complement(X0))))) != join(zero,converse(complement(converse(complement(X0)))))
| join(zero,converse(complement(converse(complement(X0))))) != converse(complement(converse(complement(X0))))
| join(complement(converse(top)),converse(complement(converse(complement(X0))))) = converse(complement(converse(complement(X0)))) ),
inference(subst,[],[refute_0_25:[bind(X,$fot(join(complement(converse(top)),converse(complement(converse(complement(X0))))))),bind(Y,$fot(join(zero,converse(complement(converse(complement(X0))))))),bind(Z,$fot(converse(complement(converse(complement(X0))))))]]) ).
cnf(refute_0_1307,plain,
( join(zero,converse(complement(converse(complement(X0))))) != converse(complement(converse(complement(X0))))
| join(complement(converse(top)),converse(complement(converse(complement(X0))))) = converse(complement(converse(complement(X0)))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),converse(complement(converse(complement(X0))))),join(zero,converse(complement(converse(complement(X0)))))) )],[refute_0_1305,refute_0_1306]) ).
cnf(refute_0_1308,plain,
join(complement(converse(top)),converse(complement(converse(complement(X0))))) = converse(complement(converse(complement(X0)))),
inference(resolve,[$cnf( $equal(join(zero,converse(complement(converse(complement(X0))))),converse(complement(converse(complement(X0))))) )],[refute_0_909,refute_0_1307]) ).
cnf(refute_0_1309,plain,
meet(X0,join(complement(converse(top)),converse(complement(converse(complement(X0)))))) = meet(X0,join(complement(converse(top)),converse(complement(converse(complement(X0)))))),
introduced(tautology,[refl,[$fot(meet(X0,join(complement(converse(top)),converse(complement(converse(complement(X0)))))))]]) ).
cnf(refute_0_1310,plain,
( join(complement(converse(top)),converse(complement(converse(complement(X0))))) != converse(complement(converse(complement(X0))))
| meet(X0,join(complement(converse(top)),converse(complement(converse(complement(X0)))))) != meet(X0,join(complement(converse(top)),converse(complement(converse(complement(X0))))))
| meet(X0,join(complement(converse(top)),converse(complement(converse(complement(X0)))))) = meet(X0,converse(complement(converse(complement(X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X0,join(complement(converse(top)),converse(complement(converse(complement(X0)))))),meet(X0,join(complement(converse(top)),converse(complement(converse(complement(X0))))))) ),[1,1],$fot(converse(complement(converse(complement(X0)))))]]) ).
cnf(refute_0_1311,plain,
( join(complement(converse(top)),converse(complement(converse(complement(X0))))) != converse(complement(converse(complement(X0))))
| meet(X0,join(complement(converse(top)),converse(complement(converse(complement(X0)))))) = meet(X0,converse(complement(converse(complement(X0))))) ),
inference(resolve,[$cnf( $equal(meet(X0,join(complement(converse(top)),converse(complement(converse(complement(X0)))))),meet(X0,join(complement(converse(top)),converse(complement(converse(complement(X0))))))) )],[refute_0_1309,refute_0_1310]) ).
cnf(refute_0_1312,plain,
meet(X0,join(complement(converse(top)),converse(complement(converse(complement(X0)))))) = meet(X0,converse(complement(converse(complement(X0))))),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),converse(complement(converse(complement(X0))))),converse(complement(converse(complement(X0))))) )],[refute_0_1308,refute_0_1311]) ).
cnf(refute_0_1313,plain,
( X0 != meet(X0,join(complement(converse(top)),converse(complement(converse(complement(X0))))))
| meet(X0,join(complement(converse(top)),converse(complement(converse(complement(X0)))))) != meet(X0,converse(complement(converse(complement(X0)))))
| X0 = meet(X0,converse(complement(converse(complement(X0))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X0,meet(X0,converse(complement(converse(complement(X0)))))) ),[0],$fot(meet(X0,join(complement(converse(top)),converse(complement(converse(complement(X0)))))))]]) ).
cnf(refute_0_1314,plain,
( X0 != meet(X0,join(complement(converse(top)),converse(complement(converse(complement(X0))))))
| X0 = meet(X0,converse(complement(converse(complement(X0))))) ),
inference(resolve,[$cnf( $equal(meet(X0,join(complement(converse(top)),converse(complement(converse(complement(X0)))))),meet(X0,converse(complement(converse(complement(X0)))))) )],[refute_0_1312,refute_0_1313]) ).
cnf(refute_0_1315,plain,
X0 = meet(X0,converse(complement(converse(complement(X0))))),
inference(resolve,[$cnf( $equal(X0,meet(X0,join(complement(converse(top)),converse(complement(converse(complement(X0))))))) )],[refute_0_908,refute_0_1314]) ).
cnf(refute_0_1316,plain,
complement(X0) = meet(complement(X0),converse(complement(converse(complement(complement(X0)))))),
inference(subst,[],[refute_0_1315:[bind(X0,$fot(complement(X0)))]]) ).
cnf(refute_0_1317,plain,
( complement(X0) != meet(complement(X0),converse(complement(converse(complement(complement(X0))))))
| complement(complement(X0)) != X0
| complement(X0) = meet(complement(X0),converse(complement(converse(X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(X0),meet(complement(X0),converse(complement(converse(complement(complement(X0))))))) ),[1,1,0,0,0],$fot(X0)]]) ).
cnf(refute_0_1318,plain,
( complement(X0) != meet(complement(X0),converse(complement(converse(complement(complement(X0))))))
| complement(X0) = meet(complement(X0),converse(complement(converse(X0)))) ),
inference(resolve,[$cnf( $equal(complement(complement(X0)),X0) )],[refute_0_944,refute_0_1317]) ).
cnf(refute_0_1319,plain,
complement(X0) = meet(complement(X0),converse(complement(converse(X0)))),
inference(resolve,[$cnf( $equal(complement(X0),meet(complement(X0),converse(complement(converse(complement(complement(X0))))))) )],[refute_0_1316,refute_0_1318]) ).
cnf(refute_0_1320,plain,
( complement(X0) != meet(complement(X0),converse(complement(converse(X0))))
| meet(complement(X0),converse(complement(converse(X0)))) = complement(X0) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(complement(X0))),bind(Y,$fot(meet(complement(X0),converse(complement(converse(X0))))))]]) ).
cnf(refute_0_1321,plain,
meet(complement(X0),converse(complement(converse(X0)))) = complement(X0),
inference(resolve,[$cnf( $equal(complement(X0),meet(complement(X0),converse(complement(converse(X0))))) )],[refute_0_1319,refute_0_1320]) ).
cnf(refute_0_1322,plain,
( join(complement(complement(X0)),complement(converse(complement(converse(X0))))) != complement(meet(complement(X0),converse(complement(converse(X0)))))
| meet(complement(X0),converse(complement(converse(X0)))) != complement(X0)
| join(complement(complement(X0)),complement(converse(complement(converse(X0))))) = complement(complement(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(X0)),complement(converse(complement(converse(X0))))),complement(meet(complement(X0),converse(complement(converse(X0)))))) ),[1,0],$fot(complement(X0))]]) ).
cnf(refute_0_1323,plain,
( join(complement(complement(X0)),complement(converse(complement(converse(X0))))) != complement(meet(complement(X0),converse(complement(converse(X0)))))
| join(complement(complement(X0)),complement(converse(complement(converse(X0))))) = complement(complement(X0)) ),
inference(resolve,[$cnf( $equal(meet(complement(X0),converse(complement(converse(X0)))),complement(X0)) )],[refute_0_1321,refute_0_1322]) ).
cnf(refute_0_1324,plain,
join(complement(complement(X0)),complement(converse(complement(converse(X0))))) = complement(complement(X0)),
inference(resolve,[$cnf( $equal(join(complement(complement(X0)),complement(converse(complement(converse(X0))))),complement(meet(complement(X0),converse(complement(converse(X0)))))) )],[refute_0_853,refute_0_1323]) ).
cnf(refute_0_1325,plain,
join(complement(complement(X0)),complement(X_297)) = complement(meet(complement(X0),X_297)),
inference(subst,[],[refute_0_248:[bind(X_39,$fot(complement(X0))),bind(X_40,$fot(X_297))]]) ).
cnf(refute_0_1326,plain,
( complement(complement(X0)) != X0
| join(complement(complement(X0)),complement(X_297)) != complement(meet(complement(X0),X_297))
| join(X0,complement(X_297)) = complement(meet(complement(X0),X_297)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(X0)),complement(X_297)),complement(meet(complement(X0),X_297))) ),[0,0],$fot(X0)]]) ).
cnf(refute_0_1327,plain,
( join(complement(complement(X0)),complement(X_297)) != complement(meet(complement(X0),X_297))
| join(X0,complement(X_297)) = complement(meet(complement(X0),X_297)) ),
inference(resolve,[$cnf( $equal(complement(complement(X0)),X0) )],[refute_0_944,refute_0_1326]) ).
cnf(refute_0_1328,plain,
join(X0,complement(X_297)) = complement(meet(complement(X0),X_297)),
inference(resolve,[$cnf( $equal(join(complement(complement(X0)),complement(X_297)),complement(meet(complement(X0),X_297))) )],[refute_0_1325,refute_0_1327]) ).
cnf(refute_0_1329,plain,
( join(X0,complement(X_297)) != complement(meet(complement(X0),X_297))
| complement(meet(complement(X0),X_297)) = join(X0,complement(X_297)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(X0,complement(X_297)))),bind(Y,$fot(complement(meet(complement(X0),X_297))))]]) ).
cnf(refute_0_1330,plain,
complement(meet(complement(X0),X_297)) = join(X0,complement(X_297)),
inference(resolve,[$cnf( $equal(join(X0,complement(X_297)),complement(meet(complement(X0),X_297))) )],[refute_0_1328,refute_0_1329]) ).
cnf(refute_0_1331,plain,
complement(meet(complement(X0),converse(complement(converse(X0))))) = join(X0,complement(converse(complement(converse(X0))))),
inference(subst,[],[refute_0_1330:[bind(X_297,$fot(converse(complement(converse(X0)))))]]) ).
cnf(refute_0_1332,plain,
( complement(meet(complement(X0),converse(complement(converse(X0))))) != join(X0,complement(converse(complement(converse(X0)))))
| join(complement(complement(X0)),complement(converse(complement(converse(X0))))) != complement(meet(complement(X0),converse(complement(converse(X0)))))
| join(complement(complement(X0)),complement(converse(complement(converse(X0))))) = join(X0,complement(converse(complement(converse(X0))))) ),
inference(subst,[],[refute_0_25:[bind(X,$fot(join(complement(complement(X0)),complement(converse(complement(converse(X0))))))),bind(Y,$fot(complement(meet(complement(X0),converse(complement(converse(X0))))))),bind(Z,$fot(join(X0,complement(converse(complement(converse(X0)))))))]]) ).
cnf(refute_0_1333,plain,
( complement(meet(complement(X0),converse(complement(converse(X0))))) != join(X0,complement(converse(complement(converse(X0)))))
| join(complement(complement(X0)),complement(converse(complement(converse(X0))))) = join(X0,complement(converse(complement(converse(X0))))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(X0)),complement(converse(complement(converse(X0))))),complement(meet(complement(X0),converse(complement(converse(X0)))))) )],[refute_0_853,refute_0_1332]) ).
cnf(refute_0_1334,plain,
join(complement(complement(X0)),complement(converse(complement(converse(X0))))) = join(X0,complement(converse(complement(converse(X0))))),
inference(resolve,[$cnf( $equal(complement(meet(complement(X0),converse(complement(converse(X0))))),join(X0,complement(converse(complement(converse(X0)))))) )],[refute_0_1331,refute_0_1333]) ).
cnf(refute_0_1335,plain,
( join(complement(complement(X0)),complement(converse(complement(converse(X0))))) != complement(complement(X0))
| join(complement(complement(X0)),complement(converse(complement(converse(X0))))) != join(X0,complement(converse(complement(converse(X0)))))
| join(X0,complement(converse(complement(converse(X0))))) = complement(complement(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(X0)),complement(converse(complement(converse(X0))))),complement(complement(X0))) ),[0],$fot(join(X0,complement(converse(complement(converse(X0))))))]]) ).
cnf(refute_0_1336,plain,
( join(complement(complement(X0)),complement(converse(complement(converse(X0))))) != complement(complement(X0))
| join(X0,complement(converse(complement(converse(X0))))) = complement(complement(X0)) ),
inference(resolve,[$cnf( $equal(join(complement(complement(X0)),complement(converse(complement(converse(X0))))),join(X0,complement(converse(complement(converse(X0)))))) )],[refute_0_1334,refute_0_1335]) ).
cnf(refute_0_1337,plain,
( complement(complement(X0)) != X0
| join(X0,complement(converse(complement(converse(X0))))) != complement(complement(X0))
| join(X0,complement(converse(complement(converse(X0))))) = X0 ),
introduced(tautology,[equality,[$cnf( $equal(join(X0,complement(converse(complement(converse(X0))))),complement(complement(X0))) ),[1],$fot(X0)]]) ).
cnf(refute_0_1338,plain,
( join(X0,complement(converse(complement(converse(X0))))) != complement(complement(X0))
| join(X0,complement(converse(complement(converse(X0))))) = X0 ),
inference(resolve,[$cnf( $equal(complement(complement(X0)),X0) )],[refute_0_944,refute_0_1337]) ).
cnf(refute_0_1339,plain,
( join(complement(complement(X0)),complement(converse(complement(converse(X0))))) != complement(complement(X0))
| join(X0,complement(converse(complement(converse(X0))))) = X0 ),
inference(resolve,[$cnf( $equal(join(X0,complement(converse(complement(converse(X0))))),complement(complement(X0))) )],[refute_0_1336,refute_0_1338]) ).
cnf(refute_0_1340,plain,
join(X0,complement(converse(complement(converse(X0))))) = X0,
inference(resolve,[$cnf( $equal(join(complement(complement(X0)),complement(converse(complement(converse(X0))))),complement(complement(X0))) )],[refute_0_1324,refute_0_1339]) ).
cnf(refute_0_1341,plain,
join(converse(X0),complement(converse(complement(converse(converse(X0)))))) = converse(X0),
inference(subst,[],[refute_0_1340:[bind(X0,$fot(converse(X0)))]]) ).
cnf(refute_0_1342,plain,
( converse(join(converse(X0),complement(converse(complement(converse(converse(X0))))))) != join(X0,converse(complement(converse(complement(converse(converse(X0)))))))
| join(converse(X0),complement(converse(complement(converse(converse(X0)))))) != converse(X0)
| converse(converse(X0)) = join(X0,converse(complement(converse(complement(converse(converse(X0))))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X0),complement(converse(complement(converse(converse(X0))))))),join(X0,converse(complement(converse(complement(converse(converse(X0)))))))) ),[0,0],$fot(converse(X0))]]) ).
cnf(refute_0_1343,plain,
( converse(join(converse(X0),complement(converse(complement(converse(converse(X0))))))) != join(X0,converse(complement(converse(complement(converse(converse(X0)))))))
| converse(converse(X0)) = join(X0,converse(complement(converse(complement(converse(converse(X0))))))) ),
inference(resolve,[$cnf( $equal(join(converse(X0),complement(converse(complement(converse(converse(X0)))))),converse(X0)) )],[refute_0_1341,refute_0_1342]) ).
cnf(refute_0_1344,plain,
converse(converse(X0)) = join(X0,converse(complement(converse(complement(converse(converse(X0))))))),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),complement(converse(complement(converse(converse(X0))))))),join(X0,converse(complement(converse(complement(converse(converse(X0)))))))) )],[refute_0_852,refute_0_1343]) ).
cnf(refute_0_1345,plain,
( converse(converse(X0)) != X0
| converse(converse(X0)) != join(X0,converse(complement(converse(complement(converse(converse(X0)))))))
| X0 = join(X0,converse(complement(converse(complement(converse(converse(X0))))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(X0)),join(X0,converse(complement(converse(complement(converse(converse(X0)))))))) ),[0],$fot(X0)]]) ).
cnf(refute_0_1346,plain,
( converse(converse(X0)) != join(X0,converse(complement(converse(complement(converse(converse(X0)))))))
| X0 = join(X0,converse(complement(converse(complement(converse(converse(X0))))))) ),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_0_52,refute_0_1345]) ).
cnf(refute_0_1347,plain,
join(meet(X_143,X_144),join(meet(X_143,complement(X_144)),X2)) = join(join(meet(X_143,X_144),meet(X_143,complement(X_144))),X2),
inference(subst,[],[refute_0_461:[bind(X0,$fot(meet(X_143,X_144))),bind(X1,$fot(meet(X_143,complement(X_144))))]]) ).
cnf(refute_0_1348,plain,
X0 = join(meet(X0,complement(X_40)),complement(join(complement(X0),complement(X_40)))),
inference(subst,[],[refute_0_31:[bind(X1,$fot(complement(X_40)))]]) ).
cnf(refute_0_1349,plain,
meet(X0,X_40) = complement(join(complement(X0),complement(X_40))),
inference(subst,[],[refute_0_17:[bind(X1,$fot(X_40))]]) ).
cnf(refute_0_1350,plain,
( meet(X0,X_40) != complement(join(complement(X0),complement(X_40)))
| complement(join(complement(X0),complement(X_40))) = meet(X0,X_40) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(meet(X0,X_40))),bind(Y,$fot(complement(join(complement(X0),complement(X_40)))))]]) ).
cnf(refute_0_1351,plain,
complement(join(complement(X0),complement(X_40))) = meet(X0,X_40),
inference(resolve,[$cnf( $equal(meet(X0,X_40),complement(join(complement(X0),complement(X_40)))) )],[refute_0_1349,refute_0_1350]) ).
cnf(refute_0_1352,plain,
( X0 != join(meet(X0,complement(X_40)),complement(join(complement(X0),complement(X_40))))
| complement(join(complement(X0),complement(X_40))) != meet(X0,X_40)
| X0 = join(meet(X0,complement(X_40)),meet(X0,X_40)) ),
introduced(tautology,[equality,[$cnf( $equal(X0,join(meet(X0,complement(X_40)),complement(join(complement(X0),complement(X_40))))) ),[1,1],$fot(meet(X0,X_40))]]) ).
cnf(refute_0_1353,plain,
( X0 != join(meet(X0,complement(X_40)),complement(join(complement(X0),complement(X_40))))
| X0 = join(meet(X0,complement(X_40)),meet(X0,X_40)) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X0),complement(X_40))),meet(X0,X_40)) )],[refute_0_1351,refute_0_1352]) ).
cnf(refute_0_1354,plain,
X0 = join(meet(X0,complement(X_40)),meet(X0,X_40)),
inference(resolve,[$cnf( $equal(X0,join(meet(X0,complement(X_40)),complement(join(complement(X0),complement(X_40))))) )],[refute_0_1348,refute_0_1353]) ).
cnf(refute_0_1355,plain,
join(meet(X0,complement(X_40)),meet(X0,X_40)) = join(meet(X0,X_40),meet(X0,complement(X_40))),
inference(subst,[],[refute_0_6:[bind(X0,$fot(meet(X0,X_40))),bind(X1,$fot(meet(X0,complement(X_40))))]]) ).
cnf(refute_0_1356,plain,
( X0 != join(meet(X0,complement(X_40)),meet(X0,X_40))
| join(meet(X0,complement(X_40)),meet(X0,X_40)) != join(meet(X0,X_40),meet(X0,complement(X_40)))
| X0 = join(meet(X0,X_40),meet(X0,complement(X_40))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X0,join(meet(X0,X_40),meet(X0,complement(X_40)))) ),[0],$fot(join(meet(X0,complement(X_40)),meet(X0,X_40)))]]) ).
cnf(refute_0_1357,plain,
( X0 != join(meet(X0,complement(X_40)),meet(X0,X_40))
| X0 = join(meet(X0,X_40),meet(X0,complement(X_40))) ),
inference(resolve,[$cnf( $equal(join(meet(X0,complement(X_40)),meet(X0,X_40)),join(meet(X0,X_40),meet(X0,complement(X_40)))) )],[refute_0_1355,refute_0_1356]) ).
cnf(refute_0_1358,plain,
X0 = join(meet(X0,X_40),meet(X0,complement(X_40))),
inference(resolve,[$cnf( $equal(X0,join(meet(X0,complement(X_40)),meet(X0,X_40))) )],[refute_0_1354,refute_0_1357]) ).
cnf(refute_0_1359,plain,
X_143 = join(meet(X_143,X_144),meet(X_143,complement(X_144))),
inference(subst,[],[refute_0_1358:[bind(X0,$fot(X_143)),bind(X_40,$fot(X_144))]]) ).
cnf(refute_0_1360,plain,
( X_143 != join(meet(X_143,X_144),meet(X_143,complement(X_144)))
| join(meet(X_143,X_144),meet(X_143,complement(X_144))) = X_143 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(X_143)),bind(Y,$fot(join(meet(X_143,X_144),meet(X_143,complement(X_144)))))]]) ).
cnf(refute_0_1361,plain,
join(meet(X_143,X_144),meet(X_143,complement(X_144))) = X_143,
inference(resolve,[$cnf( $equal(X_143,join(meet(X_143,X_144),meet(X_143,complement(X_144)))) )],[refute_0_1359,refute_0_1360]) ).
cnf(refute_0_1362,plain,
( join(meet(X_143,X_144),join(meet(X_143,complement(X_144)),X2)) != join(join(meet(X_143,X_144),meet(X_143,complement(X_144))),X2)
| join(meet(X_143,X_144),meet(X_143,complement(X_144))) != X_143
| join(meet(X_143,X_144),join(meet(X_143,complement(X_144)),X2)) = join(X_143,X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_143,X_144),join(meet(X_143,complement(X_144)),X2)),join(join(meet(X_143,X_144),meet(X_143,complement(X_144))),X2)) ),[1,0],$fot(X_143)]]) ).
cnf(refute_0_1363,plain,
( join(meet(X_143,X_144),join(meet(X_143,complement(X_144)),X2)) != join(join(meet(X_143,X_144),meet(X_143,complement(X_144))),X2)
| join(meet(X_143,X_144),join(meet(X_143,complement(X_144)),X2)) = join(X_143,X2) ),
inference(resolve,[$cnf( $equal(join(meet(X_143,X_144),meet(X_143,complement(X_144))),X_143) )],[refute_0_1361,refute_0_1362]) ).
cnf(refute_0_1364,plain,
join(meet(X_143,X_144),join(meet(X_143,complement(X_144)),X2)) = join(X_143,X2),
inference(resolve,[$cnf( $equal(join(meet(X_143,X_144),join(meet(X_143,complement(X_144)),X2)),join(join(meet(X_143,X_144),meet(X_143,complement(X_144))),X2)) )],[refute_0_1347,refute_0_1363]) ).
cnf(refute_0_1365,plain,
join(meet(X_266,X_267),join(meet(X_266,complement(X_267)),complement(join(complement(X_267),complement(X_266))))) = join(X_266,complement(join(complement(X_267),complement(X_266)))),
inference(subst,[],[refute_0_1364:[bind(X2,$fot(complement(join(complement(X_267),complement(X_266))))),bind(X_143,$fot(X_266)),bind(X_144,$fot(X_267))]]) ).
cnf(refute_0_1366,plain,
X_266 = join(meet(X_266,complement(X_267)),complement(join(complement(X_267),complement(X_266)))),
inference(subst,[],[refute_0_231:[bind(X_14,$fot(X_266)),bind(X_15,$fot(complement(X_267)))]]) ).
cnf(refute_0_1367,plain,
( X_266 != join(meet(X_266,complement(X_267)),complement(join(complement(X_267),complement(X_266))))
| join(meet(X_266,complement(X_267)),complement(join(complement(X_267),complement(X_266)))) = X_266 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(X_266)),bind(Y,$fot(join(meet(X_266,complement(X_267)),complement(join(complement(X_267),complement(X_266))))))]]) ).
cnf(refute_0_1368,plain,
join(meet(X_266,complement(X_267)),complement(join(complement(X_267),complement(X_266)))) = X_266,
inference(resolve,[$cnf( $equal(X_266,join(meet(X_266,complement(X_267)),complement(join(complement(X_267),complement(X_266))))) )],[refute_0_1366,refute_0_1367]) ).
cnf(refute_0_1369,plain,
( join(meet(X_266,X_267),join(meet(X_266,complement(X_267)),complement(join(complement(X_267),complement(X_266))))) != join(X_266,complement(join(complement(X_267),complement(X_266))))
| join(meet(X_266,complement(X_267)),complement(join(complement(X_267),complement(X_266)))) != X_266
| join(meet(X_266,X_267),X_266) = join(X_266,complement(join(complement(X_267),complement(X_266)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_266,X_267),join(meet(X_266,complement(X_267)),complement(join(complement(X_267),complement(X_266))))),join(X_266,complement(join(complement(X_267),complement(X_266))))) ),[0,1],$fot(X_266)]]) ).
cnf(refute_0_1370,plain,
( join(meet(X_266,X_267),join(meet(X_266,complement(X_267)),complement(join(complement(X_267),complement(X_266))))) != join(X_266,complement(join(complement(X_267),complement(X_266))))
| join(meet(X_266,X_267),X_266) = join(X_266,complement(join(complement(X_267),complement(X_266)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_266,complement(X_267)),complement(join(complement(X_267),complement(X_266)))),X_266) )],[refute_0_1368,refute_0_1369]) ).
cnf(refute_0_1371,plain,
join(meet(X_266,X_267),X_266) = join(X_266,complement(join(complement(X_267),complement(X_266)))),
inference(resolve,[$cnf( $equal(join(meet(X_266,X_267),join(meet(X_266,complement(X_267)),complement(join(complement(X_267),complement(X_266))))),join(X_266,complement(join(complement(X_267),complement(X_266))))) )],[refute_0_1365,refute_0_1370]) ).
cnf(refute_0_1372,plain,
join(meet(X_266,X_267),X_266) = join(X_266,meet(X_266,X_267)),
inference(subst,[],[refute_0_6:[bind(X0,$fot(X_266)),bind(X1,$fot(meet(X_266,X_267)))]]) ).
cnf(refute_0_1373,plain,
( join(meet(X_266,X_267),X_266) != join(X_266,complement(join(complement(X_267),complement(X_266))))
| join(meet(X_266,X_267),X_266) != join(X_266,meet(X_266,X_267))
| join(X_266,meet(X_266,X_267)) = join(X_266,complement(join(complement(X_267),complement(X_266)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_266,X_267),X_266),join(X_266,complement(join(complement(X_267),complement(X_266))))) ),[0],$fot(join(X_266,meet(X_266,X_267)))]]) ).
cnf(refute_0_1374,plain,
( join(meet(X_266,X_267),X_266) != join(X_266,complement(join(complement(X_267),complement(X_266))))
| join(X_266,meet(X_266,X_267)) = join(X_266,complement(join(complement(X_267),complement(X_266)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_266,X_267),X_266),join(X_266,meet(X_266,X_267))) )],[refute_0_1372,refute_0_1373]) ).
cnf(refute_0_1375,plain,
complement(complement(meet(X_267,X_266))) = meet(X_267,X_266),
inference(subst,[],[refute_0_944:[bind(X0,$fot(meet(X_267,X_266)))]]) ).
cnf(refute_0_1376,plain,
join(complement(X_267),complement(X_266)) = complement(meet(X_267,X_266)),
inference(subst,[],[refute_0_248:[bind(X_39,$fot(X_267)),bind(X_40,$fot(X_266))]]) ).
cnf(refute_0_1377,plain,
complement(join(complement(X_267),complement(X_266))) = complement(join(complement(X_267),complement(X_266))),
introduced(tautology,[refl,[$fot(complement(join(complement(X_267),complement(X_266))))]]) ).
cnf(refute_0_1378,plain,
( complement(join(complement(X_267),complement(X_266))) != complement(join(complement(X_267),complement(X_266)))
| join(complement(X_267),complement(X_266)) != complement(meet(X_267,X_266))
| complement(join(complement(X_267),complement(X_266))) = complement(complement(meet(X_267,X_266))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(X_267),complement(X_266))),complement(join(complement(X_267),complement(X_266)))) ),[1,0],$fot(complement(meet(X_267,X_266)))]]) ).
cnf(refute_0_1379,plain,
( join(complement(X_267),complement(X_266)) != complement(meet(X_267,X_266))
| complement(join(complement(X_267),complement(X_266))) = complement(complement(meet(X_267,X_266))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_267),complement(X_266))),complement(join(complement(X_267),complement(X_266)))) )],[refute_0_1377,refute_0_1378]) ).
cnf(refute_0_1380,plain,
complement(join(complement(X_267),complement(X_266))) = complement(complement(meet(X_267,X_266))),
inference(resolve,[$cnf( $equal(join(complement(X_267),complement(X_266)),complement(meet(X_267,X_266))) )],[refute_0_1376,refute_0_1379]) ).
cnf(refute_0_1381,plain,
( complement(complement(meet(X_267,X_266))) != meet(X_267,X_266)
| complement(join(complement(X_267),complement(X_266))) != complement(complement(meet(X_267,X_266)))
| complement(join(complement(X_267),complement(X_266))) = meet(X_267,X_266) ),
inference(subst,[],[refute_0_25:[bind(X,$fot(complement(join(complement(X_267),complement(X_266))))),bind(Y,$fot(complement(complement(meet(X_267,X_266))))),bind(Z,$fot(meet(X_267,X_266)))]]) ).
cnf(refute_0_1382,plain,
( complement(complement(meet(X_267,X_266))) != meet(X_267,X_266)
| complement(join(complement(X_267),complement(X_266))) = meet(X_267,X_266) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_267),complement(X_266))),complement(complement(meet(X_267,X_266)))) )],[refute_0_1380,refute_0_1381]) ).
cnf(refute_0_1383,plain,
complement(join(complement(X_267),complement(X_266))) = meet(X_267,X_266),
inference(resolve,[$cnf( $equal(complement(complement(meet(X_267,X_266))),meet(X_267,X_266)) )],[refute_0_1375,refute_0_1382]) ).
cnf(refute_0_1384,plain,
join(X_266,complement(join(complement(X_267),complement(X_266)))) = join(X_266,complement(join(complement(X_267),complement(X_266)))),
introduced(tautology,[refl,[$fot(join(X_266,complement(join(complement(X_267),complement(X_266)))))]]) ).
cnf(refute_0_1385,plain,
( complement(join(complement(X_267),complement(X_266))) != meet(X_267,X_266)
| join(X_266,complement(join(complement(X_267),complement(X_266)))) != join(X_266,complement(join(complement(X_267),complement(X_266))))
| join(X_266,complement(join(complement(X_267),complement(X_266)))) = join(X_266,meet(X_267,X_266)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_266,complement(join(complement(X_267),complement(X_266)))),join(X_266,complement(join(complement(X_267),complement(X_266))))) ),[1,1],$fot(meet(X_267,X_266))]]) ).
cnf(refute_0_1386,plain,
( complement(join(complement(X_267),complement(X_266))) != meet(X_267,X_266)
| join(X_266,complement(join(complement(X_267),complement(X_266)))) = join(X_266,meet(X_267,X_266)) ),
inference(resolve,[$cnf( $equal(join(X_266,complement(join(complement(X_267),complement(X_266)))),join(X_266,complement(join(complement(X_267),complement(X_266))))) )],[refute_0_1384,refute_0_1385]) ).
cnf(refute_0_1387,plain,
join(X_266,complement(join(complement(X_267),complement(X_266)))) = join(X_266,meet(X_267,X_266)),
inference(resolve,[$cnf( $equal(complement(join(complement(X_267),complement(X_266))),meet(X_267,X_266)) )],[refute_0_1383,refute_0_1386]) ).
cnf(refute_0_1388,plain,
( join(X_266,complement(join(complement(X_267),complement(X_266)))) != join(X_266,meet(X_267,X_266))
| join(X_266,meet(X_266,X_267)) != join(X_266,complement(join(complement(X_267),complement(X_266))))
| join(X_266,meet(X_266,X_267)) = join(X_266,meet(X_267,X_266)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_266,meet(X_266,X_267)),join(X_266,complement(join(complement(X_267),complement(X_266))))) ),[1],$fot(join(X_266,meet(X_267,X_266)))]]) ).
cnf(refute_0_1389,plain,
( join(X_266,meet(X_266,X_267)) != join(X_266,complement(join(complement(X_267),complement(X_266))))
| join(X_266,meet(X_266,X_267)) = join(X_266,meet(X_267,X_266)) ),
inference(resolve,[$cnf( $equal(join(X_266,complement(join(complement(X_267),complement(X_266)))),join(X_266,meet(X_267,X_266))) )],[refute_0_1387,refute_0_1388]) ).
cnf(refute_0_1390,plain,
( join(meet(X_266,X_267),X_266) != join(X_266,complement(join(complement(X_267),complement(X_266))))
| join(X_266,meet(X_266,X_267)) = join(X_266,meet(X_267,X_266)) ),
inference(resolve,[$cnf( $equal(join(X_266,meet(X_266,X_267)),join(X_266,complement(join(complement(X_267),complement(X_266))))) )],[refute_0_1374,refute_0_1389]) ).
cnf(refute_0_1391,plain,
join(X_266,meet(X_266,X_267)) = join(X_266,meet(X_267,X_266)),
inference(resolve,[$cnf( $equal(join(meet(X_266,X_267),X_266),join(X_266,complement(join(complement(X_267),complement(X_266))))) )],[refute_0_1371,refute_0_1390]) ).
cnf(refute_0_1392,plain,
join(meet(X_266,X_267),join(meet(X_266,complement(X_267)),meet(X_266,complement(complement(X_267))))) = join(X_266,meet(X_266,complement(complement(X_267)))),
inference(subst,[],[refute_0_1364:[bind(X2,$fot(meet(X_266,complement(complement(X_267))))),bind(X_143,$fot(X_266)),bind(X_144,$fot(X_267))]]) ).
cnf(refute_0_1393,plain,
X_266 = join(meet(X_266,complement(X_267)),meet(X_266,complement(complement(X_267)))),
inference(subst,[],[refute_0_1358:[bind(X0,$fot(X_266)),bind(X_40,$fot(complement(X_267)))]]) ).
cnf(refute_0_1394,plain,
( X_266 != join(meet(X_266,complement(X_267)),meet(X_266,complement(complement(X_267))))
| join(meet(X_266,complement(X_267)),meet(X_266,complement(complement(X_267)))) = X_266 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(X_266)),bind(Y,$fot(join(meet(X_266,complement(X_267)),meet(X_266,complement(complement(X_267))))))]]) ).
cnf(refute_0_1395,plain,
join(meet(X_266,complement(X_267)),meet(X_266,complement(complement(X_267)))) = X_266,
inference(resolve,[$cnf( $equal(X_266,join(meet(X_266,complement(X_267)),meet(X_266,complement(complement(X_267))))) )],[refute_0_1393,refute_0_1394]) ).
cnf(refute_0_1396,plain,
( join(meet(X_266,X_267),join(meet(X_266,complement(X_267)),meet(X_266,complement(complement(X_267))))) != join(X_266,meet(X_266,complement(complement(X_267))))
| join(meet(X_266,complement(X_267)),meet(X_266,complement(complement(X_267)))) != X_266
| join(meet(X_266,X_267),X_266) = join(X_266,meet(X_266,complement(complement(X_267)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_266,X_267),join(meet(X_266,complement(X_267)),meet(X_266,complement(complement(X_267))))),join(X_266,meet(X_266,complement(complement(X_267))))) ),[0,1],$fot(X_266)]]) ).
cnf(refute_0_1397,plain,
( join(meet(X_266,X_267),join(meet(X_266,complement(X_267)),meet(X_266,complement(complement(X_267))))) != join(X_266,meet(X_266,complement(complement(X_267))))
| join(meet(X_266,X_267),X_266) = join(X_266,meet(X_266,complement(complement(X_267)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_266,complement(X_267)),meet(X_266,complement(complement(X_267)))),X_266) )],[refute_0_1395,refute_0_1396]) ).
cnf(refute_0_1398,plain,
join(meet(X_266,X_267),X_266) = join(X_266,meet(X_266,complement(complement(X_267)))),
inference(resolve,[$cnf( $equal(join(meet(X_266,X_267),join(meet(X_266,complement(X_267)),meet(X_266,complement(complement(X_267))))),join(X_266,meet(X_266,complement(complement(X_267))))) )],[refute_0_1392,refute_0_1397]) ).
cnf(refute_0_1399,plain,
( join(meet(X_266,X_267),X_266) != join(X_266,meet(X_266,X_267))
| join(meet(X_266,X_267),X_266) != join(X_266,meet(X_266,complement(complement(X_267))))
| join(X_266,meet(X_266,X_267)) = join(X_266,meet(X_266,complement(complement(X_267)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_266,X_267),X_266),join(X_266,meet(X_266,complement(complement(X_267))))) ),[0],$fot(join(X_266,meet(X_266,X_267)))]]) ).
cnf(refute_0_1400,plain,
( join(meet(X_266,X_267),X_266) != join(X_266,meet(X_266,complement(complement(X_267))))
| join(X_266,meet(X_266,X_267)) = join(X_266,meet(X_266,complement(complement(X_267)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_266,X_267),X_266),join(X_266,meet(X_266,X_267))) )],[refute_0_1372,refute_0_1399]) ).
cnf(refute_0_1401,plain,
join(meet(X_266,X_267),join(meet(X_266,complement(X_267)),meet(X_266,complement(X_267)))) = join(X_266,meet(X_266,complement(X_267))),
inference(subst,[],[refute_0_1364:[bind(X2,$fot(meet(X_266,complement(X_267)))),bind(X_143,$fot(X_266)),bind(X_144,$fot(X_267))]]) ).
cnf(refute_0_1402,plain,
meet(X_266,complement(X_267)) = join(meet(X_266,complement(X_267)),meet(X_266,complement(X_267))),
inference(subst,[],[refute_0_1232:[bind(X_100,$fot(meet(X_266,complement(X_267))))]]) ).
cnf(refute_0_1403,plain,
( meet(X_266,complement(X_267)) != join(meet(X_266,complement(X_267)),meet(X_266,complement(X_267)))
| join(meet(X_266,complement(X_267)),meet(X_266,complement(X_267))) = meet(X_266,complement(X_267)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(meet(X_266,complement(X_267)))),bind(Y,$fot(join(meet(X_266,complement(X_267)),meet(X_266,complement(X_267)))))]]) ).
cnf(refute_0_1404,plain,
join(meet(X_266,complement(X_267)),meet(X_266,complement(X_267))) = meet(X_266,complement(X_267)),
inference(resolve,[$cnf( $equal(meet(X_266,complement(X_267)),join(meet(X_266,complement(X_267)),meet(X_266,complement(X_267)))) )],[refute_0_1402,refute_0_1403]) ).
cnf(refute_0_1405,plain,
( join(meet(X_266,X_267),join(meet(X_266,complement(X_267)),meet(X_266,complement(X_267)))) != join(X_266,meet(X_266,complement(X_267)))
| join(meet(X_266,complement(X_267)),meet(X_266,complement(X_267))) != meet(X_266,complement(X_267))
| join(meet(X_266,X_267),meet(X_266,complement(X_267))) = join(X_266,meet(X_266,complement(X_267))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_266,X_267),join(meet(X_266,complement(X_267)),meet(X_266,complement(X_267)))),join(X_266,meet(X_266,complement(X_267)))) ),[0,1],$fot(meet(X_266,complement(X_267)))]]) ).
cnf(refute_0_1406,plain,
( join(meet(X_266,X_267),join(meet(X_266,complement(X_267)),meet(X_266,complement(X_267)))) != join(X_266,meet(X_266,complement(X_267)))
| join(meet(X_266,X_267),meet(X_266,complement(X_267))) = join(X_266,meet(X_266,complement(X_267))) ),
inference(resolve,[$cnf( $equal(join(meet(X_266,complement(X_267)),meet(X_266,complement(X_267))),meet(X_266,complement(X_267))) )],[refute_0_1404,refute_0_1405]) ).
cnf(refute_0_1407,plain,
join(meet(X_266,X_267),meet(X_266,complement(X_267))) = join(X_266,meet(X_266,complement(X_267))),
inference(resolve,[$cnf( $equal(join(meet(X_266,X_267),join(meet(X_266,complement(X_267)),meet(X_266,complement(X_267)))),join(X_266,meet(X_266,complement(X_267)))) )],[refute_0_1401,refute_0_1406]) ).
cnf(refute_0_1408,plain,
( X0 != join(meet(X0,X_40),meet(X0,complement(X_40)))
| join(meet(X0,X_40),meet(X0,complement(X_40))) = X0 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(X0)),bind(Y,$fot(join(meet(X0,X_40),meet(X0,complement(X_40)))))]]) ).
cnf(refute_0_1409,plain,
join(meet(X0,X_40),meet(X0,complement(X_40))) = X0,
inference(resolve,[$cnf( $equal(X0,join(meet(X0,X_40),meet(X0,complement(X_40)))) )],[refute_0_1358,refute_0_1408]) ).
cnf(refute_0_1410,plain,
join(meet(X_266,X_267),meet(X_266,complement(X_267))) = X_266,
inference(subst,[],[refute_0_1409:[bind(X0,$fot(X_266)),bind(X_40,$fot(X_267))]]) ).
cnf(refute_0_1411,plain,
( join(meet(X_266,X_267),meet(X_266,complement(X_267))) != X_266
| join(meet(X_266,X_267),meet(X_266,complement(X_267))) != join(X_266,meet(X_266,complement(X_267)))
| X_266 = join(X_266,meet(X_266,complement(X_267))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_266,X_267),meet(X_266,complement(X_267))),join(X_266,meet(X_266,complement(X_267)))) ),[0],$fot(X_266)]]) ).
cnf(refute_0_1412,plain,
( join(meet(X_266,X_267),meet(X_266,complement(X_267))) != join(X_266,meet(X_266,complement(X_267)))
| X_266 = join(X_266,meet(X_266,complement(X_267))) ),
inference(resolve,[$cnf( $equal(join(meet(X_266,X_267),meet(X_266,complement(X_267))),X_266) )],[refute_0_1410,refute_0_1411]) ).
cnf(refute_0_1413,plain,
X_266 = join(X_266,meet(X_266,complement(X_267))),
inference(resolve,[$cnf( $equal(join(meet(X_266,X_267),meet(X_266,complement(X_267))),join(X_266,meet(X_266,complement(X_267)))) )],[refute_0_1407,refute_0_1412]) ).
cnf(refute_0_1414,plain,
( X_266 != join(X_266,meet(X_266,complement(X_267)))
| join(X_266,meet(X_266,complement(X_267))) = X_266 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(X_266)),bind(Y,$fot(join(X_266,meet(X_266,complement(X_267)))))]]) ).
cnf(refute_0_1415,plain,
join(X_266,meet(X_266,complement(X_267))) = X_266,
inference(resolve,[$cnf( $equal(X_266,join(X_266,meet(X_266,complement(X_267)))) )],[refute_0_1413,refute_0_1414]) ).
cnf(refute_0_1416,plain,
join(X_266,meet(X_266,complement(complement(X_267)))) = X_266,
inference(subst,[],[refute_0_1415:[bind(X_267,$fot(complement(X_267)))]]) ).
cnf(refute_0_1417,plain,
( join(X_266,meet(X_266,X_267)) != join(X_266,meet(X_266,complement(complement(X_267))))
| join(X_266,meet(X_266,complement(complement(X_267)))) != X_266
| join(X_266,meet(X_266,X_267)) = X_266 ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_266,meet(X_266,X_267)),X_266) ),[0],$fot(join(X_266,meet(X_266,complement(complement(X_267)))))]]) ).
cnf(refute_0_1418,plain,
( join(X_266,meet(X_266,X_267)) != join(X_266,meet(X_266,complement(complement(X_267))))
| join(X_266,meet(X_266,X_267)) = X_266 ),
inference(resolve,[$cnf( $equal(join(X_266,meet(X_266,complement(complement(X_267)))),X_266) )],[refute_0_1416,refute_0_1417]) ).
cnf(refute_0_1419,plain,
( join(meet(X_266,X_267),X_266) != join(X_266,meet(X_266,complement(complement(X_267))))
| join(X_266,meet(X_266,X_267)) = X_266 ),
inference(resolve,[$cnf( $equal(join(X_266,meet(X_266,X_267)),join(X_266,meet(X_266,complement(complement(X_267))))) )],[refute_0_1400,refute_0_1418]) ).
cnf(refute_0_1420,plain,
join(X_266,meet(X_266,X_267)) = X_266,
inference(resolve,[$cnf( $equal(join(meet(X_266,X_267),X_266),join(X_266,meet(X_266,complement(complement(X_267))))) )],[refute_0_1398,refute_0_1419]) ).
cnf(refute_0_1421,plain,
( join(X_266,meet(X_266,X_267)) != X_266
| join(X_266,meet(X_266,X_267)) != join(X_266,meet(X_267,X_266))
| X_266 = join(X_266,meet(X_267,X_266)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_266,meet(X_266,X_267)),join(X_266,meet(X_267,X_266))) ),[0],$fot(X_266)]]) ).
cnf(refute_0_1422,plain,
( join(X_266,meet(X_266,X_267)) != join(X_266,meet(X_267,X_266))
| X_266 = join(X_266,meet(X_267,X_266)) ),
inference(resolve,[$cnf( $equal(join(X_266,meet(X_266,X_267)),X_266) )],[refute_0_1420,refute_0_1421]) ).
cnf(refute_0_1423,plain,
X_266 = join(X_266,meet(X_267,X_266)),
inference(resolve,[$cnf( $equal(join(X_266,meet(X_266,X_267)),join(X_266,meet(X_267,X_266))) )],[refute_0_1391,refute_0_1422]) ).
cnf(refute_0_1424,plain,
converse(complement(converse(complement(X_279)))) = join(converse(complement(converse(complement(X_279)))),meet(X_279,converse(complement(converse(complement(X_279)))))),
inference(subst,[],[refute_0_1423:[bind(X_266,$fot(converse(complement(converse(complement(X_279)))))),bind(X_267,$fot(X_279))]]) ).
cnf(refute_0_1425,plain,
X_279 = meet(X_279,converse(complement(converse(complement(X_279))))),
inference(subst,[],[refute_0_1315:[bind(X0,$fot(X_279))]]) ).
cnf(refute_0_1426,plain,
( X_279 != meet(X_279,converse(complement(converse(complement(X_279)))))
| meet(X_279,converse(complement(converse(complement(X_279))))) = X_279 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(X_279)),bind(Y,$fot(meet(X_279,converse(complement(converse(complement(X_279)))))))]]) ).
cnf(refute_0_1427,plain,
meet(X_279,converse(complement(converse(complement(X_279))))) = X_279,
inference(resolve,[$cnf( $equal(X_279,meet(X_279,converse(complement(converse(complement(X_279)))))) )],[refute_0_1425,refute_0_1426]) ).
cnf(refute_0_1428,plain,
( converse(complement(converse(complement(X_279)))) != join(converse(complement(converse(complement(X_279)))),meet(X_279,converse(complement(converse(complement(X_279))))))
| meet(X_279,converse(complement(converse(complement(X_279))))) != X_279
| converse(complement(converse(complement(X_279)))) = join(converse(complement(converse(complement(X_279)))),X_279) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(complement(X_279)))),join(converse(complement(converse(complement(X_279)))),meet(X_279,converse(complement(converse(complement(X_279))))))) ),[1,1],$fot(X_279)]]) ).
cnf(refute_0_1429,plain,
( converse(complement(converse(complement(X_279)))) != join(converse(complement(converse(complement(X_279)))),meet(X_279,converse(complement(converse(complement(X_279))))))
| converse(complement(converse(complement(X_279)))) = join(converse(complement(converse(complement(X_279)))),X_279) ),
inference(resolve,[$cnf( $equal(meet(X_279,converse(complement(converse(complement(X_279))))),X_279) )],[refute_0_1427,refute_0_1428]) ).
cnf(refute_0_1430,plain,
converse(complement(converse(complement(X_279)))) = join(converse(complement(converse(complement(X_279)))),X_279),
inference(resolve,[$cnf( $equal(converse(complement(converse(complement(X_279)))),join(converse(complement(converse(complement(X_279)))),meet(X_279,converse(complement(converse(complement(X_279))))))) )],[refute_0_1424,refute_0_1429]) ).
cnf(refute_0_1431,plain,
join(meet(X_266,join(X_225,X_266)),join(meet(X_266,complement(join(X_225,X_266))),X_265)) = join(X_266,X_265),
inference(subst,[],[refute_0_1364:[bind(X2,$fot(X_265)),bind(X_143,$fot(X_266)),bind(X_144,$fot(join(X_225,X_266)))]]) ).
cnf(refute_0_1432,plain,
X0 = join(meet(X0,join(X_51,complement(join(complement(X0),X_51)))),complement(join(complement(X0),join(X_51,complement(join(complement(X0),X_51)))))),
inference(subst,[],[refute_0_31:[bind(X1,$fot(join(X_51,complement(join(complement(X0),X_51)))))]]) ).
cnf(refute_0_1433,plain,
top = join(complement(X0),join(X_51,complement(join(complement(X0),X_51)))),
inference(subst,[],[refute_0_861:[bind(X_31,$fot(complement(X0))),bind(X_32,$fot(X_51))]]) ).
cnf(refute_0_1434,plain,
( top != join(complement(X0),join(X_51,complement(join(complement(X0),X_51))))
| join(complement(X0),join(X_51,complement(join(complement(X0),X_51)))) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(complement(X0),join(X_51,complement(join(complement(X0),X_51))))))]]) ).
cnf(refute_0_1435,plain,
join(complement(X0),join(X_51,complement(join(complement(X0),X_51)))) = top,
inference(resolve,[$cnf( $equal(top,join(complement(X0),join(X_51,complement(join(complement(X0),X_51))))) )],[refute_0_1433,refute_0_1434]) ).
cnf(refute_0_1436,plain,
( X0 != join(meet(X0,join(X_51,complement(join(complement(X0),X_51)))),complement(join(complement(X0),join(X_51,complement(join(complement(X0),X_51))))))
| join(complement(X0),join(X_51,complement(join(complement(X0),X_51)))) != top
| X0 = join(meet(X0,join(X_51,complement(join(complement(X0),X_51)))),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(X0,join(meet(X0,join(X_51,complement(join(complement(X0),X_51)))),complement(join(complement(X0),join(X_51,complement(join(complement(X0),X_51))))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_0_1437,plain,
( X0 != join(meet(X0,join(X_51,complement(join(complement(X0),X_51)))),complement(join(complement(X0),join(X_51,complement(join(complement(X0),X_51))))))
| X0 = join(meet(X0,join(X_51,complement(join(complement(X0),X_51)))),complement(top)) ),
inference(resolve,[$cnf( $equal(join(complement(X0),join(X_51,complement(join(complement(X0),X_51)))),top) )],[refute_0_1435,refute_0_1436]) ).
cnf(refute_0_1438,plain,
X0 = join(meet(X0,join(X_51,complement(join(complement(X0),X_51)))),complement(top)),
inference(resolve,[$cnf( $equal(X0,join(meet(X0,join(X_51,complement(join(complement(X0),X_51)))),complement(join(complement(X0),join(X_51,complement(join(complement(X0),X_51))))))) )],[refute_0_1432,refute_0_1437]) ).
cnf(refute_0_1439,plain,
join(complement(top),meet(X0,join(X_51,complement(join(complement(X0),X_51))))) = join(complement(top),meet(X0,join(X_51,complement(join(complement(X0),X_51))))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(X0,join(X_51,complement(join(complement(X0),X_51))))))]]) ).
cnf(refute_0_1440,plain,
( complement(top) != zero
| join(complement(top),meet(X0,join(X_51,complement(join(complement(X0),X_51))))) != join(complement(top),meet(X0,join(X_51,complement(join(complement(X0),X_51)))))
| join(complement(top),meet(X0,join(X_51,complement(join(complement(X0),X_51))))) = join(zero,meet(X0,join(X_51,complement(join(complement(X0),X_51))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(X0,join(X_51,complement(join(complement(X0),X_51))))),join(complement(top),meet(X0,join(X_51,complement(join(complement(X0),X_51)))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_1441,plain,
( complement(top) != zero
| join(complement(top),meet(X0,join(X_51,complement(join(complement(X0),X_51))))) = join(zero,meet(X0,join(X_51,complement(join(complement(X0),X_51))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X0,join(X_51,complement(join(complement(X0),X_51))))),join(complement(top),meet(X0,join(X_51,complement(join(complement(X0),X_51)))))) )],[refute_0_1439,refute_0_1440]) ).
cnf(refute_0_1442,plain,
join(complement(top),meet(X0,join(X_51,complement(join(complement(X0),X_51))))) = join(zero,meet(X0,join(X_51,complement(join(complement(X0),X_51))))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_165,refute_0_1441]) ).
cnf(refute_0_1443,plain,
join(meet(X0,join(X_51,complement(join(complement(X0),X_51)))),complement(top)) = join(complement(top),meet(X0,join(X_51,complement(join(complement(X0),X_51))))),
inference(subst,[],[refute_0_6:[bind(X0,$fot(complement(top))),bind(X1,$fot(meet(X0,join(X_51,complement(join(complement(X0),X_51))))))]]) ).
cnf(refute_0_1444,plain,
( join(complement(top),meet(X0,join(X_51,complement(join(complement(X0),X_51))))) != join(zero,meet(X0,join(X_51,complement(join(complement(X0),X_51)))))
| join(meet(X0,join(X_51,complement(join(complement(X0),X_51)))),complement(top)) != join(complement(top),meet(X0,join(X_51,complement(join(complement(X0),X_51)))))
| join(meet(X0,join(X_51,complement(join(complement(X0),X_51)))),complement(top)) = join(zero,meet(X0,join(X_51,complement(join(complement(X0),X_51))))) ),
inference(subst,[],[refute_0_25:[bind(X,$fot(join(meet(X0,join(X_51,complement(join(complement(X0),X_51)))),complement(top)))),bind(Y,$fot(join(complement(top),meet(X0,join(X_51,complement(join(complement(X0),X_51))))))),bind(Z,$fot(join(zero,meet(X0,join(X_51,complement(join(complement(X0),X_51)))))))]]) ).
cnf(refute_0_1445,plain,
( join(complement(top),meet(X0,join(X_51,complement(join(complement(X0),X_51))))) != join(zero,meet(X0,join(X_51,complement(join(complement(X0),X_51)))))
| join(meet(X0,join(X_51,complement(join(complement(X0),X_51)))),complement(top)) = join(zero,meet(X0,join(X_51,complement(join(complement(X0),X_51))))) ),
inference(resolve,[$cnf( $equal(join(meet(X0,join(X_51,complement(join(complement(X0),X_51)))),complement(top)),join(complement(top),meet(X0,join(X_51,complement(join(complement(X0),X_51)))))) )],[refute_0_1443,refute_0_1444]) ).
cnf(refute_0_1446,plain,
join(meet(X0,join(X_51,complement(join(complement(X0),X_51)))),complement(top)) = join(zero,meet(X0,join(X_51,complement(join(complement(X0),X_51))))),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X0,join(X_51,complement(join(complement(X0),X_51))))),join(zero,meet(X0,join(X_51,complement(join(complement(X0),X_51)))))) )],[refute_0_1442,refute_0_1445]) ).
cnf(refute_0_1447,plain,
( X0 != join(meet(X0,join(X_51,complement(join(complement(X0),X_51)))),complement(top))
| join(meet(X0,join(X_51,complement(join(complement(X0),X_51)))),complement(top)) != join(zero,meet(X0,join(X_51,complement(join(complement(X0),X_51)))))
| X0 = join(zero,meet(X0,join(X_51,complement(join(complement(X0),X_51))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X0,join(zero,meet(X0,join(X_51,complement(join(complement(X0),X_51)))))) ),[0],$fot(join(meet(X0,join(X_51,complement(join(complement(X0),X_51)))),complement(top)))]]) ).
cnf(refute_0_1448,plain,
( X0 != join(meet(X0,join(X_51,complement(join(complement(X0),X_51)))),complement(top))
| X0 = join(zero,meet(X0,join(X_51,complement(join(complement(X0),X_51))))) ),
inference(resolve,[$cnf( $equal(join(meet(X0,join(X_51,complement(join(complement(X0),X_51)))),complement(top)),join(zero,meet(X0,join(X_51,complement(join(complement(X0),X_51)))))) )],[refute_0_1446,refute_0_1447]) ).
cnf(refute_0_1449,plain,
X0 = join(zero,meet(X0,join(X_51,complement(join(complement(X0),X_51))))),
inference(resolve,[$cnf( $equal(X0,join(meet(X0,join(X_51,complement(join(complement(X0),X_51)))),complement(top))) )],[refute_0_1438,refute_0_1448]) ).
cnf(refute_0_1450,plain,
join(zero,meet(X0,join(X_51,complement(join(complement(X0),X_51))))) = meet(X0,join(X_51,complement(join(complement(X0),X_51)))),
inference(subst,[],[refute_0_831:[bind(X_14,$fot(meet(X0,join(X_51,complement(join(complement(X0),X_51))))))]]) ).
cnf(refute_0_1451,plain,
( X0 != join(zero,meet(X0,join(X_51,complement(join(complement(X0),X_51)))))
| join(zero,meet(X0,join(X_51,complement(join(complement(X0),X_51))))) != meet(X0,join(X_51,complement(join(complement(X0),X_51))))
| X0 = meet(X0,join(X_51,complement(join(complement(X0),X_51)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X0,meet(X0,join(X_51,complement(join(complement(X0),X_51))))) ),[0],$fot(join(zero,meet(X0,join(X_51,complement(join(complement(X0),X_51))))))]]) ).
cnf(refute_0_1452,plain,
( X0 != join(zero,meet(X0,join(X_51,complement(join(complement(X0),X_51)))))
| X0 = meet(X0,join(X_51,complement(join(complement(X0),X_51)))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(X0,join(X_51,complement(join(complement(X0),X_51))))),meet(X0,join(X_51,complement(join(complement(X0),X_51))))) )],[refute_0_1450,refute_0_1451]) ).
cnf(refute_0_1453,plain,
X0 = meet(X0,join(X_51,complement(join(complement(X0),X_51)))),
inference(resolve,[$cnf( $equal(X0,join(zero,meet(X0,join(X_51,complement(join(complement(X0),X_51)))))) )],[refute_0_1449,refute_0_1452]) ).
cnf(refute_0_1454,plain,
X0 = meet(X0,join(join(X_225,complement(complement(X0))),complement(join(complement(X0),join(X_225,complement(complement(X0))))))),
inference(subst,[],[refute_0_1453:[bind(X_51,$fot(join(X_225,complement(complement(X0)))))]]) ).
cnf(refute_0_1455,plain,
join(X0,join(X_31,X_32)) = join(join(X_31,X_32),X0),
inference(subst,[],[refute_0_1:[bind(X1,$fot(join(X_31,X_32)))]]) ).
cnf(refute_0_1456,plain,
join(X_31,join(X_32,X0)) = join(join(X_31,X_32),X0),
inference(subst,[],[refute_0_461:[bind(X0,$fot(X_31)),bind(X1,$fot(X_32)),bind(X2,$fot(X0))]]) ).
cnf(refute_0_1457,plain,
( join(X_31,join(X_32,X0)) != join(join(X_31,X_32),X0)
| join(join(X_31,X_32),X0) = join(X_31,join(X_32,X0)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(X_31,join(X_32,X0)))),bind(Y,$fot(join(join(X_31,X_32),X0)))]]) ).
cnf(refute_0_1458,plain,
join(join(X_31,X_32),X0) = join(X_31,join(X_32,X0)),
inference(resolve,[$cnf( $equal(join(X_31,join(X_32,X0)),join(join(X_31,X_32),X0)) )],[refute_0_1456,refute_0_1457]) ).
cnf(refute_0_1459,plain,
( join(X0,join(X_31,X_32)) != join(join(X_31,X_32),X0)
| join(join(X_31,X_32),X0) != join(X_31,join(X_32,X0))
| join(X0,join(X_31,X_32)) = join(X_31,join(X_32,X0)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X0,join(X_31,X_32)),join(X_31,join(X_32,X0))) ),[0],$fot(join(join(X_31,X_32),X0))]]) ).
cnf(refute_0_1460,plain,
( join(X0,join(X_31,X_32)) != join(join(X_31,X_32),X0)
| join(X0,join(X_31,X_32)) = join(X_31,join(X_32,X0)) ),
inference(resolve,[$cnf( $equal(join(join(X_31,X_32),X0),join(X_31,join(X_32,X0))) )],[refute_0_1458,refute_0_1459]) ).
cnf(refute_0_1461,plain,
join(X0,join(X_31,X_32)) = join(X_31,join(X_32,X0)),
inference(resolve,[$cnf( $equal(join(X0,join(X_31,X_32)),join(join(X_31,X_32),X0)) )],[refute_0_1455,refute_0_1460]) ).
cnf(refute_0_1462,plain,
join(complement(X_223),join(X_222,X_223)) = join(X_222,join(X_223,complement(X_223))),
inference(subst,[],[refute_0_1461:[bind(X0,$fot(complement(X_223))),bind(X_31,$fot(X_222)),bind(X_32,$fot(X_223))]]) ).
cnf(refute_0_1463,plain,
top = join(X_223,complement(X_223)),
inference(subst,[],[refute_0_108:[bind(X0,$fot(X_223))]]) ).
cnf(refute_0_1464,plain,
( top != join(X_223,complement(X_223))
| join(X_223,complement(X_223)) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(X_223,complement(X_223))))]]) ).
cnf(refute_0_1465,plain,
join(X_223,complement(X_223)) = top,
inference(resolve,[$cnf( $equal(top,join(X_223,complement(X_223))) )],[refute_0_1463,refute_0_1464]) ).
cnf(refute_0_1466,plain,
( join(X_223,complement(X_223)) != top
| join(complement(X_223),join(X_222,X_223)) != join(X_222,join(X_223,complement(X_223)))
| join(complement(X_223),join(X_222,X_223)) = join(X_222,top) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_223),join(X_222,X_223)),join(X_222,join(X_223,complement(X_223)))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_1467,plain,
( join(complement(X_223),join(X_222,X_223)) != join(X_222,join(X_223,complement(X_223)))
| join(complement(X_223),join(X_222,X_223)) = join(X_222,top) ),
inference(resolve,[$cnf( $equal(join(X_223,complement(X_223)),top) )],[refute_0_1465,refute_0_1466]) ).
cnf(refute_0_1468,plain,
join(complement(X_223),join(X_222,X_223)) = join(X_222,top),
inference(resolve,[$cnf( $equal(join(complement(X_223),join(X_222,X_223)),join(X_222,join(X_223,complement(X_223)))) )],[refute_0_1462,refute_0_1467]) ).
cnf(refute_0_1469,plain,
join(X_221,join(X_222,X_223)) = join(X_222,join(X_223,X_221)),
inference(subst,[],[refute_0_1461:[bind(X0,$fot(X_221)),bind(X_31,$fot(X_222)),bind(X_32,$fot(X_223))]]) ).
cnf(refute_0_1470,plain,
join(X_223,X_222) = join(X_222,X_223),
inference(subst,[],[refute_0_1:[bind(X0,$fot(X_223)),bind(X1,$fot(X_222))]]) ).
cnf(refute_0_1471,plain,
( join(X_223,X_222) != join(X_222,X_223)
| join(X_222,X_223) = join(X_223,X_222) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(X_223,X_222))),bind(Y,$fot(join(X_222,X_223)))]]) ).
cnf(refute_0_1472,plain,
join(X_222,X_223) = join(X_223,X_222),
inference(resolve,[$cnf( $equal(join(X_223,X_222),join(X_222,X_223)) )],[refute_0_1470,refute_0_1471]) ).
cnf(refute_0_1473,plain,
( join(X_221,join(X_222,X_223)) != join(X_222,join(X_223,X_221))
| join(X_222,X_223) != join(X_223,X_222)
| join(X_221,join(X_223,X_222)) = join(X_222,join(X_223,X_221)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_221,join(X_222,X_223)),join(X_222,join(X_223,X_221))) ),[0,1],$fot(join(X_223,X_222))]]) ).
cnf(refute_0_1474,plain,
( join(X_221,join(X_222,X_223)) != join(X_222,join(X_223,X_221))
| join(X_221,join(X_223,X_222)) = join(X_222,join(X_223,X_221)) ),
inference(resolve,[$cnf( $equal(join(X_222,X_223),join(X_223,X_222)) )],[refute_0_1472,refute_0_1473]) ).
cnf(refute_0_1475,plain,
join(X_221,join(X_223,X_222)) = join(X_222,join(X_223,X_221)),
inference(resolve,[$cnf( $equal(join(X_221,join(X_222,X_223)),join(X_222,join(X_223,X_221))) )],[refute_0_1469,refute_0_1474]) ).
cnf(refute_0_1476,plain,
( join(X_221,join(X_223,X_222)) != join(X_222,join(X_223,X_221))
| join(X_222,join(X_223,X_221)) = join(X_221,join(X_223,X_222)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(X_221,join(X_223,X_222)))),bind(Y,$fot(join(X_222,join(X_223,X_221))))]]) ).
cnf(refute_0_1477,plain,
join(X_222,join(X_223,X_221)) = join(X_221,join(X_223,X_222)),
inference(resolve,[$cnf( $equal(join(X_221,join(X_223,X_222)),join(X_222,join(X_223,X_221))) )],[refute_0_1475,refute_0_1476]) ).
cnf(refute_0_1478,plain,
join(complement(X_223),join(X_222,X_223)) = join(X_223,join(X_222,complement(X_223))),
inference(subst,[],[refute_0_1477:[bind(X_221,$fot(X_223)),bind(X_222,$fot(complement(X_223))),bind(X_223,$fot(X_222))]]) ).
cnf(refute_0_1479,plain,
( join(complement(X_223),join(X_222,X_223)) != join(X_222,top)
| join(complement(X_223),join(X_222,X_223)) != join(X_223,join(X_222,complement(X_223)))
| join(X_223,join(X_222,complement(X_223))) = join(X_222,top) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_223),join(X_222,X_223)),join(X_222,top)) ),[0],$fot(join(X_223,join(X_222,complement(X_223))))]]) ).
cnf(refute_0_1480,plain,
( join(complement(X_223),join(X_222,X_223)) != join(X_222,top)
| join(X_223,join(X_222,complement(X_223))) = join(X_222,top) ),
inference(resolve,[$cnf( $equal(join(complement(X_223),join(X_222,X_223)),join(X_223,join(X_222,complement(X_223)))) )],[refute_0_1478,refute_0_1479]) ).
cnf(refute_0_1481,plain,
join(X_67,top) = join(meet(meet(X_67,zero),join(X_67,top)),complement(join(meet(X_67,zero),complement(join(X_67,top))))),
inference(subst,[],[refute_0_235:[bind(X_14,$fot(join(X_67,top))),bind(X_15,$fot(meet(X_67,zero)))]]) ).
cnf(refute_0_1482,plain,
zero = join(meet(X_65,zero),complement(join(X_65,complement(zero)))),
inference(subst,[],[refute_0_235:[bind(X_14,$fot(zero)),bind(X_15,$fot(X_65))]]) ).
cnf(refute_0_1483,plain,
( complement(zero) != top
| zero != join(meet(X_65,zero),complement(join(X_65,complement(zero))))
| zero = join(meet(X_65,zero),complement(join(X_65,top))) ),
introduced(tautology,[equality,[$cnf( $equal(zero,join(meet(X_65,zero),complement(join(X_65,complement(zero))))) ),[1,1,0,1],$fot(top)]]) ).
cnf(refute_0_1484,plain,
( zero != join(meet(X_65,zero),complement(join(X_65,complement(zero))))
| zero = join(meet(X_65,zero),complement(join(X_65,top))) ),
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_653,refute_0_1483]) ).
cnf(refute_0_1485,plain,
zero = join(meet(X_65,zero),complement(join(X_65,top))),
inference(resolve,[$cnf( $equal(zero,join(meet(X_65,zero),complement(join(X_65,complement(zero))))) )],[refute_0_1482,refute_0_1484]) ).
cnf(refute_0_1486,plain,
zero = join(meet(X_67,zero),complement(join(X_67,top))),
inference(subst,[],[refute_0_1485:[bind(X_65,$fot(X_67))]]) ).
cnf(refute_0_1487,plain,
( zero != join(meet(X_67,zero),complement(join(X_67,top)))
| join(meet(X_67,zero),complement(join(X_67,top))) = zero ),
inference(subst,[],[refute_0_4:[bind(X,$fot(zero)),bind(Y,$fot(join(meet(X_67,zero),complement(join(X_67,top)))))]]) ).
cnf(refute_0_1488,plain,
join(meet(X_67,zero),complement(join(X_67,top))) = zero,
inference(resolve,[$cnf( $equal(zero,join(meet(X_67,zero),complement(join(X_67,top)))) )],[refute_0_1486,refute_0_1487]) ).
cnf(refute_0_1489,plain,
( join(X_67,top) != join(meet(meet(X_67,zero),join(X_67,top)),complement(join(meet(X_67,zero),complement(join(X_67,top)))))
| join(meet(X_67,zero),complement(join(X_67,top))) != zero
| join(X_67,top) = join(meet(meet(X_67,zero),join(X_67,top)),complement(zero)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_67,top),join(meet(meet(X_67,zero),join(X_67,top)),complement(join(meet(X_67,zero),complement(join(X_67,top)))))) ),[1,1,0],$fot(zero)]]) ).
cnf(refute_0_1490,plain,
( join(X_67,top) != join(meet(meet(X_67,zero),join(X_67,top)),complement(join(meet(X_67,zero),complement(join(X_67,top)))))
| join(X_67,top) = join(meet(meet(X_67,zero),join(X_67,top)),complement(zero)) ),
inference(resolve,[$cnf( $equal(join(meet(X_67,zero),complement(join(X_67,top))),zero) )],[refute_0_1488,refute_0_1489]) ).
cnf(refute_0_1491,plain,
join(X_67,top) = join(meet(meet(X_67,zero),join(X_67,top)),complement(zero)),
inference(resolve,[$cnf( $equal(join(X_67,top),join(meet(meet(X_67,zero),join(X_67,top)),complement(join(meet(X_67,zero),complement(join(X_67,top)))))) )],[refute_0_1481,refute_0_1490]) ).
cnf(refute_0_1492,plain,
meet(meet(X_67,zero),join(X_67,top)) = meet(join(X_67,top),meet(X_67,zero)),
inference(subst,[],[refute_0_185:[bind(X_39,$fot(join(X_67,top))),bind(X_40,$fot(meet(X_67,zero)))]]) ).
cnf(refute_0_1493,plain,
join(top,meet(meet(X_67,zero),join(X_67,top))) = join(top,meet(meet(X_67,zero),join(X_67,top))),
introduced(tautology,[refl,[$fot(join(top,meet(meet(X_67,zero),join(X_67,top))))]]) ).
cnf(refute_0_1494,plain,
( join(top,meet(meet(X_67,zero),join(X_67,top))) != join(top,meet(meet(X_67,zero),join(X_67,top)))
| meet(meet(X_67,zero),join(X_67,top)) != meet(join(X_67,top),meet(X_67,zero))
| join(top,meet(meet(X_67,zero),join(X_67,top))) = join(top,meet(join(X_67,top),meet(X_67,zero))) ),
introduced(tautology,[equality,[$cnf( $equal(join(top,meet(meet(X_67,zero),join(X_67,top))),join(top,meet(meet(X_67,zero),join(X_67,top)))) ),[1,1],$fot(meet(join(X_67,top),meet(X_67,zero)))]]) ).
cnf(refute_0_1495,plain,
( meet(meet(X_67,zero),join(X_67,top)) != meet(join(X_67,top),meet(X_67,zero))
| join(top,meet(meet(X_67,zero),join(X_67,top))) = join(top,meet(join(X_67,top),meet(X_67,zero))) ),
inference(resolve,[$cnf( $equal(join(top,meet(meet(X_67,zero),join(X_67,top))),join(top,meet(meet(X_67,zero),join(X_67,top)))) )],[refute_0_1493,refute_0_1494]) ).
cnf(refute_0_1496,plain,
join(top,meet(meet(X_67,zero),join(X_67,top))) = join(top,meet(join(X_67,top),meet(X_67,zero))),
inference(resolve,[$cnf( $equal(meet(meet(X_67,zero),join(X_67,top)),meet(join(X_67,top),meet(X_67,zero))) )],[refute_0_1492,refute_0_1495]) ).
cnf(refute_0_1497,plain,
join(complement(zero),meet(meet(X_67,zero),join(X_67,top))) = join(complement(zero),meet(meet(X_67,zero),join(X_67,top))),
introduced(tautology,[refl,[$fot(join(complement(zero),meet(meet(X_67,zero),join(X_67,top))))]]) ).
cnf(refute_0_1498,plain,
( complement(zero) != top
| join(complement(zero),meet(meet(X_67,zero),join(X_67,top))) != join(complement(zero),meet(meet(X_67,zero),join(X_67,top)))
| join(complement(zero),meet(meet(X_67,zero),join(X_67,top))) = join(top,meet(meet(X_67,zero),join(X_67,top))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(zero),meet(meet(X_67,zero),join(X_67,top))),join(complement(zero),meet(meet(X_67,zero),join(X_67,top)))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_1499,plain,
( complement(zero) != top
| join(complement(zero),meet(meet(X_67,zero),join(X_67,top))) = join(top,meet(meet(X_67,zero),join(X_67,top))) ),
inference(resolve,[$cnf( $equal(join(complement(zero),meet(meet(X_67,zero),join(X_67,top))),join(complement(zero),meet(meet(X_67,zero),join(X_67,top)))) )],[refute_0_1497,refute_0_1498]) ).
cnf(refute_0_1500,plain,
join(complement(zero),meet(meet(X_67,zero),join(X_67,top))) = join(top,meet(meet(X_67,zero),join(X_67,top))),
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_653,refute_0_1499]) ).
cnf(refute_0_1501,plain,
( join(complement(zero),meet(meet(X_67,zero),join(X_67,top))) != join(top,meet(meet(X_67,zero),join(X_67,top)))
| join(top,meet(meet(X_67,zero),join(X_67,top))) != join(top,meet(join(X_67,top),meet(X_67,zero)))
| join(complement(zero),meet(meet(X_67,zero),join(X_67,top))) = join(top,meet(join(X_67,top),meet(X_67,zero))) ),
inference(subst,[],[refute_0_25:[bind(X,$fot(join(complement(zero),meet(meet(X_67,zero),join(X_67,top))))),bind(Y,$fot(join(top,meet(meet(X_67,zero),join(X_67,top))))),bind(Z,$fot(join(top,meet(join(X_67,top),meet(X_67,zero)))))]]) ).
cnf(refute_0_1502,plain,
( join(top,meet(meet(X_67,zero),join(X_67,top))) != join(top,meet(join(X_67,top),meet(X_67,zero)))
| join(complement(zero),meet(meet(X_67,zero),join(X_67,top))) = join(top,meet(join(X_67,top),meet(X_67,zero))) ),
inference(resolve,[$cnf( $equal(join(complement(zero),meet(meet(X_67,zero),join(X_67,top))),join(top,meet(meet(X_67,zero),join(X_67,top)))) )],[refute_0_1500,refute_0_1501]) ).
cnf(refute_0_1503,plain,
join(complement(zero),meet(meet(X_67,zero),join(X_67,top))) = join(top,meet(join(X_67,top),meet(X_67,zero))),
inference(resolve,[$cnf( $equal(join(top,meet(meet(X_67,zero),join(X_67,top))),join(top,meet(join(X_67,top),meet(X_67,zero)))) )],[refute_0_1496,refute_0_1502]) ).
cnf(refute_0_1504,plain,
join(meet(meet(X_67,zero),join(X_67,top)),complement(zero)) = join(complement(zero),meet(meet(X_67,zero),join(X_67,top))),
inference(subst,[],[refute_0_6:[bind(X0,$fot(complement(zero))),bind(X1,$fot(meet(meet(X_67,zero),join(X_67,top))))]]) ).
cnf(refute_0_1505,plain,
( join(complement(zero),meet(meet(X_67,zero),join(X_67,top))) != join(top,meet(join(X_67,top),meet(X_67,zero)))
| join(meet(meet(X_67,zero),join(X_67,top)),complement(zero)) != join(complement(zero),meet(meet(X_67,zero),join(X_67,top)))
| join(meet(meet(X_67,zero),join(X_67,top)),complement(zero)) = join(top,meet(join(X_67,top),meet(X_67,zero))) ),
inference(subst,[],[refute_0_25:[bind(X,$fot(join(meet(meet(X_67,zero),join(X_67,top)),complement(zero)))),bind(Y,$fot(join(complement(zero),meet(meet(X_67,zero),join(X_67,top))))),bind(Z,$fot(join(top,meet(join(X_67,top),meet(X_67,zero)))))]]) ).
cnf(refute_0_1506,plain,
( join(complement(zero),meet(meet(X_67,zero),join(X_67,top))) != join(top,meet(join(X_67,top),meet(X_67,zero)))
| join(meet(meet(X_67,zero),join(X_67,top)),complement(zero)) = join(top,meet(join(X_67,top),meet(X_67,zero))) ),
inference(resolve,[$cnf( $equal(join(meet(meet(X_67,zero),join(X_67,top)),complement(zero)),join(complement(zero),meet(meet(X_67,zero),join(X_67,top)))) )],[refute_0_1504,refute_0_1505]) ).
cnf(refute_0_1507,plain,
join(meet(meet(X_67,zero),join(X_67,top)),complement(zero)) = join(top,meet(join(X_67,top),meet(X_67,zero))),
inference(resolve,[$cnf( $equal(join(complement(zero),meet(meet(X_67,zero),join(X_67,top))),join(top,meet(join(X_67,top),meet(X_67,zero)))) )],[refute_0_1503,refute_0_1506]) ).
cnf(refute_0_1508,plain,
( join(X_67,top) != join(meet(meet(X_67,zero),join(X_67,top)),complement(zero))
| join(meet(meet(X_67,zero),join(X_67,top)),complement(zero)) != join(top,meet(join(X_67,top),meet(X_67,zero)))
| join(X_67,top) = join(top,meet(join(X_67,top),meet(X_67,zero))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_67,top),join(top,meet(join(X_67,top),meet(X_67,zero)))) ),[0],$fot(join(meet(meet(X_67,zero),join(X_67,top)),complement(zero)))]]) ).
cnf(refute_0_1509,plain,
( join(X_67,top) != join(meet(meet(X_67,zero),join(X_67,top)),complement(zero))
| join(X_67,top) = join(top,meet(join(X_67,top),meet(X_67,zero))) ),
inference(resolve,[$cnf( $equal(join(meet(meet(X_67,zero),join(X_67,top)),complement(zero)),join(top,meet(join(X_67,top),meet(X_67,zero)))) )],[refute_0_1507,refute_0_1508]) ).
cnf(refute_0_1510,plain,
join(X_67,top) = join(top,meet(join(X_67,top),meet(X_67,zero))),
inference(resolve,[$cnf( $equal(join(X_67,top),join(meet(meet(X_67,zero),join(X_67,top)),complement(zero))) )],[refute_0_1491,refute_0_1509]) ).
cnf(refute_0_1511,plain,
meet(X0,join(zero,zero)) = complement(join(complement(X0),complement(join(zero,zero)))),
inference(subst,[],[refute_0_17:[bind(X1,$fot(join(zero,zero)))]]) ).
cnf(refute_0_1512,plain,
meet(top,top) = complement(join(zero,complement(top))),
inference(subst,[],[refute_0_177:[bind(X1,$fot(top))]]) ).
cnf(refute_0_1513,plain,
( complement(top) != zero
| meet(top,top) != complement(join(zero,complement(top)))
| meet(top,top) = complement(join(zero,zero)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,top),complement(join(zero,complement(top)))) ),[1,0,1],$fot(zero)]]) ).
cnf(refute_0_1514,plain,
( meet(top,top) != complement(join(zero,complement(top)))
| meet(top,top) = complement(join(zero,zero)) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_165,refute_0_1513]) ).
cnf(refute_0_1515,plain,
meet(top,top) = complement(join(zero,zero)),
inference(resolve,[$cnf( $equal(meet(top,top),complement(join(zero,complement(top)))) )],[refute_0_1512,refute_0_1514]) ).
cnf(refute_0_1516,plain,
meet(top,complement(zero)) = meet(top,complement(zero)),
introduced(tautology,[refl,[$fot(meet(top,complement(zero)))]]) ).
cnf(refute_0_1517,plain,
( complement(zero) != top
| meet(top,complement(zero)) != meet(top,complement(zero))
| meet(top,complement(zero)) = meet(top,top) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,complement(zero)),meet(top,complement(zero))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_1518,plain,
( complement(zero) != top
| meet(top,complement(zero)) = meet(top,top) ),
inference(resolve,[$cnf( $equal(meet(top,complement(zero)),meet(top,complement(zero))) )],[refute_0_1516,refute_0_1517]) ).
cnf(refute_0_1519,plain,
meet(top,complement(zero)) = meet(top,top),
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_653,refute_0_1518]) ).
cnf(refute_0_1520,plain,
( meet(top,complement(zero)) != meet(top,top)
| meet(top,complement(zero)) != top
| meet(top,top) = top ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,complement(zero)),top) ),[0],$fot(meet(top,top))]]) ).
cnf(refute_0_1521,plain,
( meet(top,complement(zero)) != top
| meet(top,top) = top ),
inference(resolve,[$cnf( $equal(meet(top,complement(zero)),meet(top,top)) )],[refute_0_1519,refute_0_1520]) ).
cnf(refute_0_1522,plain,
meet(top,top) = top,
inference(resolve,[$cnf( $equal(meet(top,complement(zero)),top) )],[refute_0_576,refute_0_1521]) ).
cnf(refute_0_1523,plain,
( meet(top,top) != complement(join(zero,zero))
| meet(top,top) != top
| top = complement(join(zero,zero)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,top),complement(join(zero,zero))) ),[0],$fot(top)]]) ).
cnf(refute_0_1524,plain,
( meet(top,top) != complement(join(zero,zero))
| top = complement(join(zero,zero)) ),
inference(resolve,[$cnf( $equal(meet(top,top),top) )],[refute_0_1522,refute_0_1523]) ).
cnf(refute_0_1525,plain,
top = complement(join(zero,zero)),
inference(resolve,[$cnf( $equal(meet(top,top),complement(join(zero,zero))) )],[refute_0_1515,refute_0_1524]) ).
cnf(refute_0_1526,plain,
( top != complement(join(zero,zero))
| complement(join(zero,zero)) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(complement(join(zero,zero))))]]) ).
cnf(refute_0_1527,plain,
complement(join(zero,zero)) = top,
inference(resolve,[$cnf( $equal(top,complement(join(zero,zero))) )],[refute_0_1525,refute_0_1526]) ).
cnf(refute_0_1528,plain,
( complement(join(zero,zero)) != top
| meet(X0,join(zero,zero)) != complement(join(complement(X0),complement(join(zero,zero))))
| meet(X0,join(zero,zero)) = complement(join(complement(X0),top)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X0,join(zero,zero)),complement(join(complement(X0),complement(join(zero,zero))))) ),[1,0,1],$fot(top)]]) ).
cnf(refute_0_1529,plain,
( meet(X0,join(zero,zero)) != complement(join(complement(X0),complement(join(zero,zero))))
| meet(X0,join(zero,zero)) = complement(join(complement(X0),top)) ),
inference(resolve,[$cnf( $equal(complement(join(zero,zero)),top) )],[refute_0_1527,refute_0_1528]) ).
cnf(refute_0_1530,plain,
meet(X0,join(zero,zero)) = complement(join(complement(X0),top)),
inference(resolve,[$cnf( $equal(meet(X0,join(zero,zero)),complement(join(complement(X0),complement(join(zero,zero))))) )],[refute_0_1511,refute_0_1529]) ).
cnf(refute_0_1531,plain,
( meet(zero,X1) != complement(join(top,complement(X1)))
| complement(join(top,complement(X1))) = meet(zero,X1) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(meet(zero,X1))),bind(Y,$fot(complement(join(top,complement(X1)))))]]) ).
cnf(refute_0_1532,plain,
complement(join(top,complement(X1))) = meet(zero,X1),
inference(resolve,[$cnf( $equal(meet(zero,X1),complement(join(top,complement(X1)))) )],[refute_0_656,refute_0_1531]) ).
cnf(refute_0_1533,plain,
complement(join(top,complement(X0))) = meet(zero,X0),
inference(subst,[],[refute_0_1532:[bind(X1,$fot(X0))]]) ).
cnf(refute_0_1534,plain,
join(complement(X0),top) = join(top,complement(X0)),
inference(subst,[],[refute_0_6:[bind(X0,$fot(top)),bind(X1,$fot(complement(X0)))]]) ).
cnf(refute_0_1535,plain,
complement(join(complement(X0),top)) = complement(join(complement(X0),top)),
introduced(tautology,[refl,[$fot(complement(join(complement(X0),top)))]]) ).
cnf(refute_0_1536,plain,
( complement(join(complement(X0),top)) != complement(join(complement(X0),top))
| join(complement(X0),top) != join(top,complement(X0))
| complement(join(complement(X0),top)) = complement(join(top,complement(X0))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(X0),top)),complement(join(complement(X0),top))) ),[1,0],$fot(join(top,complement(X0)))]]) ).
cnf(refute_0_1537,plain,
( join(complement(X0),top) != join(top,complement(X0))
| complement(join(complement(X0),top)) = complement(join(top,complement(X0))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X0),top)),complement(join(complement(X0),top))) )],[refute_0_1535,refute_0_1536]) ).
cnf(refute_0_1538,plain,
complement(join(complement(X0),top)) = complement(join(top,complement(X0))),
inference(resolve,[$cnf( $equal(join(complement(X0),top),join(top,complement(X0))) )],[refute_0_1534,refute_0_1537]) ).
cnf(refute_0_1539,plain,
( complement(join(complement(X0),top)) != complement(join(top,complement(X0)))
| complement(join(top,complement(X0))) != meet(zero,X0)
| complement(join(complement(X0),top)) = meet(zero,X0) ),
inference(subst,[],[refute_0_25:[bind(X,$fot(complement(join(complement(X0),top)))),bind(Y,$fot(complement(join(top,complement(X0))))),bind(Z,$fot(meet(zero,X0)))]]) ).
cnf(refute_0_1540,plain,
( complement(join(top,complement(X0))) != meet(zero,X0)
| complement(join(complement(X0),top)) = meet(zero,X0) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X0),top)),complement(join(top,complement(X0)))) )],[refute_0_1538,refute_0_1539]) ).
cnf(refute_0_1541,plain,
complement(join(complement(X0),top)) = meet(zero,X0),
inference(resolve,[$cnf( $equal(complement(join(top,complement(X0))),meet(zero,X0)) )],[refute_0_1533,refute_0_1540]) ).
cnf(refute_0_1542,plain,
( complement(join(complement(X0),top)) != meet(zero,X0)
| meet(X0,join(zero,zero)) != complement(join(complement(X0),top))
| meet(X0,join(zero,zero)) = meet(zero,X0) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X0,join(zero,zero)),complement(join(complement(X0),top))) ),[1],$fot(meet(zero,X0))]]) ).
cnf(refute_0_1543,plain,
( meet(X0,join(zero,zero)) != complement(join(complement(X0),top))
| meet(X0,join(zero,zero)) = meet(zero,X0) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X0),top)),meet(zero,X0)) )],[refute_0_1541,refute_0_1542]) ).
cnf(refute_0_1544,plain,
meet(X0,join(zero,zero)) = meet(zero,X0),
inference(resolve,[$cnf( $equal(meet(X0,join(zero,zero)),complement(join(complement(X0),top))) )],[refute_0_1530,refute_0_1543]) ).
cnf(refute_0_1545,plain,
join(zero,zero) = join(meet(join(zero,zero),meet(top,meet(zero,join(zero,zero)))),complement(join(complement(join(zero,zero)),meet(top,meet(zero,join(zero,zero)))))),
inference(subst,[],[refute_0_31:[bind(X0,$fot(join(zero,zero))),bind(X1,$fot(meet(top,meet(zero,join(zero,zero)))))]]) ).
cnf(refute_0_1546,plain,
top = join(meet(top,X1),complement(join(complement(top),X1))),
inference(subst,[],[refute_0_31:[bind(X0,$fot(top))]]) ).
cnf(refute_0_1547,plain,
( complement(top) != zero
| top != join(meet(top,X1),complement(join(complement(top),X1)))
| top = join(meet(top,X1),complement(join(zero,X1))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(meet(top,X1),complement(join(complement(top),X1)))) ),[1,1,0,0],$fot(zero)]]) ).
cnf(refute_0_1548,plain,
( top != join(meet(top,X1),complement(join(complement(top),X1)))
| top = join(meet(top,X1),complement(join(zero,X1))) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_165,refute_0_1547]) ).
cnf(refute_0_1549,plain,
top = join(meet(top,X1),complement(join(zero,X1))),
inference(resolve,[$cnf( $equal(top,join(meet(top,X1),complement(join(complement(top),X1)))) )],[refute_0_1546,refute_0_1548]) ).
cnf(refute_0_1550,plain,
top = join(meet(top,meet(zero,join(zero,zero))),complement(join(zero,meet(zero,join(zero,zero))))),
inference(subst,[],[refute_0_1549:[bind(X1,$fot(meet(zero,join(zero,zero))))]]) ).
cnf(refute_0_1551,plain,
join(zero,zero) = join(meet(join(zero,zero),zero),complement(join(zero,complement(join(zero,zero))))),
inference(subst,[],[refute_0_231:[bind(X_14,$fot(join(zero,zero))),bind(X_15,$fot(zero))]]) ).
cnf(refute_0_1552,plain,
top = join(meet(top,zero),complement(join(complement(top),zero))),
inference(subst,[],[refute_0_31:[bind(X0,$fot(top)),bind(X1,$fot(zero))]]) ).
cnf(refute_0_1553,plain,
zero = meet(top,complement(top)),
inference(subst,[],[refute_0_139:[bind(X0,$fot(top))]]) ).
cnf(refute_0_1554,plain,
( complement(top) != zero
| zero != meet(top,complement(top))
| zero = meet(top,zero) ),
introduced(tautology,[equality,[$cnf( $equal(zero,meet(top,complement(top))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_1555,plain,
( zero != meet(top,complement(top))
| zero = meet(top,zero) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_165,refute_0_1554]) ).
cnf(refute_0_1556,plain,
zero = meet(top,zero),
inference(resolve,[$cnf( $equal(zero,meet(top,complement(top))) )],[refute_0_1553,refute_0_1555]) ).
cnf(refute_0_1557,plain,
( zero != meet(top,zero)
| meet(top,zero) = zero ),
inference(subst,[],[refute_0_4:[bind(X,$fot(zero)),bind(Y,$fot(meet(top,zero)))]]) ).
cnf(refute_0_1558,plain,
meet(top,zero) = zero,
inference(resolve,[$cnf( $equal(zero,meet(top,zero)) )],[refute_0_1556,refute_0_1557]) ).
cnf(refute_0_1559,plain,
( meet(top,zero) != zero
| top != join(meet(top,zero),complement(join(complement(top),zero)))
| top = join(zero,complement(join(complement(top),zero))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(meet(top,zero),complement(join(complement(top),zero)))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_1560,plain,
( top != join(meet(top,zero),complement(join(complement(top),zero)))
| top = join(zero,complement(join(complement(top),zero))) ),
inference(resolve,[$cnf( $equal(meet(top,zero),zero) )],[refute_0_1558,refute_0_1559]) ).
cnf(refute_0_1561,plain,
top = join(zero,complement(join(complement(top),zero))),
inference(resolve,[$cnf( $equal(top,join(meet(top,zero),complement(join(complement(top),zero)))) )],[refute_0_1552,refute_0_1560]) ).
cnf(refute_0_1562,plain,
join(zero,complement(top)) = join(zero,complement(top)),
introduced(tautology,[refl,[$fot(join(zero,complement(top)))]]) ).
cnf(refute_0_1563,plain,
( complement(top) != zero
| join(zero,complement(top)) != join(zero,complement(top))
| join(zero,complement(top)) = join(zero,zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,complement(top)),join(zero,complement(top))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_1564,plain,
( complement(top) != zero
| join(zero,complement(top)) = join(zero,zero) ),
inference(resolve,[$cnf( $equal(join(zero,complement(top)),join(zero,complement(top))) )],[refute_0_1562,refute_0_1563]) ).
cnf(refute_0_1565,plain,
join(zero,complement(top)) = join(zero,zero),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_165,refute_0_1564]) ).
cnf(refute_0_1566,plain,
join(complement(top),zero) = join(zero,complement(top)),
inference(subst,[],[refute_0_6:[bind(X0,$fot(zero)),bind(X1,$fot(complement(top)))]]) ).
cnf(refute_0_1567,plain,
( join(complement(top),zero) != join(zero,complement(top))
| join(zero,complement(top)) != join(zero,zero)
| join(complement(top),zero) = join(zero,zero) ),
inference(subst,[],[refute_0_25:[bind(X,$fot(join(complement(top),zero))),bind(Y,$fot(join(zero,complement(top)))),bind(Z,$fot(join(zero,zero)))]]) ).
cnf(refute_0_1568,plain,
( join(zero,complement(top)) != join(zero,zero)
| join(complement(top),zero) = join(zero,zero) ),
inference(resolve,[$cnf( $equal(join(complement(top),zero),join(zero,complement(top))) )],[refute_0_1566,refute_0_1567]) ).
cnf(refute_0_1569,plain,
join(complement(top),zero) = join(zero,zero),
inference(resolve,[$cnf( $equal(join(zero,complement(top)),join(zero,zero)) )],[refute_0_1565,refute_0_1568]) ).
cnf(refute_0_1570,plain,
complement(join(complement(top),zero)) = complement(join(complement(top),zero)),
introduced(tautology,[refl,[$fot(complement(join(complement(top),zero)))]]) ).
cnf(refute_0_1571,plain,
( complement(join(complement(top),zero)) != complement(join(complement(top),zero))
| join(complement(top),zero) != join(zero,zero)
| complement(join(complement(top),zero)) = complement(join(zero,zero)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(top),zero)),complement(join(complement(top),zero))) ),[1,0],$fot(join(zero,zero))]]) ).
cnf(refute_0_1572,plain,
( join(complement(top),zero) != join(zero,zero)
| complement(join(complement(top),zero)) = complement(join(zero,zero)) ),
inference(resolve,[$cnf( $equal(complement(join(complement(top),zero)),complement(join(complement(top),zero))) )],[refute_0_1570,refute_0_1571]) ).
cnf(refute_0_1573,plain,
complement(join(complement(top),zero)) = complement(join(zero,zero)),
inference(resolve,[$cnf( $equal(join(complement(top),zero),join(zero,zero)) )],[refute_0_1569,refute_0_1572]) ).
cnf(refute_0_1574,plain,
join(zero,complement(join(complement(top),zero))) = join(zero,complement(join(complement(top),zero))),
introduced(tautology,[refl,[$fot(join(zero,complement(join(complement(top),zero))))]]) ).
cnf(refute_0_1575,plain,
( complement(join(complement(top),zero)) != complement(join(zero,zero))
| join(zero,complement(join(complement(top),zero))) != join(zero,complement(join(complement(top),zero)))
| join(zero,complement(join(complement(top),zero))) = join(zero,complement(join(zero,zero))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,complement(join(complement(top),zero))),join(zero,complement(join(complement(top),zero)))) ),[1,1],$fot(complement(join(zero,zero)))]]) ).
cnf(refute_0_1576,plain,
( complement(join(complement(top),zero)) != complement(join(zero,zero))
| join(zero,complement(join(complement(top),zero))) = join(zero,complement(join(zero,zero))) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(complement(top),zero))),join(zero,complement(join(complement(top),zero)))) )],[refute_0_1574,refute_0_1575]) ).
cnf(refute_0_1577,plain,
join(zero,complement(join(complement(top),zero))) = join(zero,complement(join(zero,zero))),
inference(resolve,[$cnf( $equal(complement(join(complement(top),zero)),complement(join(zero,zero))) )],[refute_0_1573,refute_0_1576]) ).
cnf(refute_0_1578,plain,
( join(zero,complement(join(complement(top),zero))) != join(zero,complement(join(zero,zero)))
| top != join(zero,complement(join(complement(top),zero)))
| top = join(zero,complement(join(zero,zero))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(zero,complement(join(complement(top),zero)))) ),[1],$fot(join(zero,complement(join(zero,zero))))]]) ).
cnf(refute_0_1579,plain,
( top != join(zero,complement(join(complement(top),zero)))
| top = join(zero,complement(join(zero,zero))) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(complement(top),zero))),join(zero,complement(join(zero,zero)))) )],[refute_0_1577,refute_0_1578]) ).
cnf(refute_0_1580,plain,
top = join(zero,complement(join(zero,zero))),
inference(resolve,[$cnf( $equal(top,join(zero,complement(join(complement(top),zero)))) )],[refute_0_1561,refute_0_1579]) ).
cnf(refute_0_1581,plain,
( top != join(zero,complement(join(zero,zero)))
| join(zero,complement(join(zero,zero))) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(zero,complement(join(zero,zero)))))]]) ).
cnf(refute_0_1582,plain,
join(zero,complement(join(zero,zero))) = top,
inference(resolve,[$cnf( $equal(top,join(zero,complement(join(zero,zero)))) )],[refute_0_1580,refute_0_1581]) ).
cnf(refute_0_1583,plain,
( join(zero,complement(join(zero,zero))) != top
| join(zero,zero) != join(meet(join(zero,zero),zero),complement(join(zero,complement(join(zero,zero)))))
| join(zero,zero) = join(meet(join(zero,zero),zero),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,zero),join(meet(join(zero,zero),zero),complement(join(zero,complement(join(zero,zero)))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_0_1584,plain,
( join(zero,zero) != join(meet(join(zero,zero),zero),complement(join(zero,complement(join(zero,zero)))))
| join(zero,zero) = join(meet(join(zero,zero),zero),complement(top)) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(zero,zero))),top) )],[refute_0_1582,refute_0_1583]) ).
cnf(refute_0_1585,plain,
join(zero,zero) = join(meet(join(zero,zero),zero),complement(top)),
inference(resolve,[$cnf( $equal(join(zero,zero),join(meet(join(zero,zero),zero),complement(join(zero,complement(join(zero,zero)))))) )],[refute_0_1551,refute_0_1584]) ).
cnf(refute_0_1586,plain,
meet(join(zero,zero),zero) = meet(zero,join(zero,zero)),
inference(subst,[],[refute_0_185:[bind(X_39,$fot(zero)),bind(X_40,$fot(join(zero,zero)))]]) ).
cnf(refute_0_1587,plain,
join(zero,meet(join(zero,zero),zero)) = join(zero,meet(join(zero,zero),zero)),
introduced(tautology,[refl,[$fot(join(zero,meet(join(zero,zero),zero)))]]) ).
cnf(refute_0_1588,plain,
( join(zero,meet(join(zero,zero),zero)) != join(zero,meet(join(zero,zero),zero))
| meet(join(zero,zero),zero) != meet(zero,join(zero,zero))
| join(zero,meet(join(zero,zero),zero)) = join(zero,meet(zero,join(zero,zero))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(join(zero,zero),zero)),join(zero,meet(join(zero,zero),zero))) ),[1,1],$fot(meet(zero,join(zero,zero)))]]) ).
cnf(refute_0_1589,plain,
( meet(join(zero,zero),zero) != meet(zero,join(zero,zero))
| join(zero,meet(join(zero,zero),zero)) = join(zero,meet(zero,join(zero,zero))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(join(zero,zero),zero)),join(zero,meet(join(zero,zero),zero))) )],[refute_0_1587,refute_0_1588]) ).
cnf(refute_0_1590,plain,
join(zero,meet(join(zero,zero),zero)) = join(zero,meet(zero,join(zero,zero))),
inference(resolve,[$cnf( $equal(meet(join(zero,zero),zero),meet(zero,join(zero,zero))) )],[refute_0_1586,refute_0_1589]) ).
cnf(refute_0_1591,plain,
join(complement(top),meet(join(zero,zero),zero)) = join(complement(top),meet(join(zero,zero),zero)),
introduced(tautology,[refl,[$fot(join(complement(top),meet(join(zero,zero),zero)))]]) ).
cnf(refute_0_1592,plain,
( complement(top) != zero
| join(complement(top),meet(join(zero,zero),zero)) != join(complement(top),meet(join(zero,zero),zero))
| join(complement(top),meet(join(zero,zero),zero)) = join(zero,meet(join(zero,zero),zero)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(join(zero,zero),zero)),join(complement(top),meet(join(zero,zero),zero))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_1593,plain,
( complement(top) != zero
| join(complement(top),meet(join(zero,zero),zero)) = join(zero,meet(join(zero,zero),zero)) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(join(zero,zero),zero)),join(complement(top),meet(join(zero,zero),zero))) )],[refute_0_1591,refute_0_1592]) ).
cnf(refute_0_1594,plain,
join(complement(top),meet(join(zero,zero),zero)) = join(zero,meet(join(zero,zero),zero)),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_165,refute_0_1593]) ).
cnf(refute_0_1595,plain,
( join(complement(top),meet(join(zero,zero),zero)) != join(zero,meet(join(zero,zero),zero))
| join(zero,meet(join(zero,zero),zero)) != join(zero,meet(zero,join(zero,zero)))
| join(complement(top),meet(join(zero,zero),zero)) = join(zero,meet(zero,join(zero,zero))) ),
inference(subst,[],[refute_0_25:[bind(X,$fot(join(complement(top),meet(join(zero,zero),zero)))),bind(Y,$fot(join(zero,meet(join(zero,zero),zero)))),bind(Z,$fot(join(zero,meet(zero,join(zero,zero)))))]]) ).
cnf(refute_0_1596,plain,
( join(zero,meet(join(zero,zero),zero)) != join(zero,meet(zero,join(zero,zero)))
| join(complement(top),meet(join(zero,zero),zero)) = join(zero,meet(zero,join(zero,zero))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(join(zero,zero),zero)),join(zero,meet(join(zero,zero),zero))) )],[refute_0_1594,refute_0_1595]) ).
cnf(refute_0_1597,plain,
join(complement(top),meet(join(zero,zero),zero)) = join(zero,meet(zero,join(zero,zero))),
inference(resolve,[$cnf( $equal(join(zero,meet(join(zero,zero),zero)),join(zero,meet(zero,join(zero,zero)))) )],[refute_0_1590,refute_0_1596]) ).
cnf(refute_0_1598,plain,
join(meet(join(zero,zero),zero),complement(top)) = join(complement(top),meet(join(zero,zero),zero)),
inference(subst,[],[refute_0_6:[bind(X0,$fot(complement(top))),bind(X1,$fot(meet(join(zero,zero),zero)))]]) ).
cnf(refute_0_1599,plain,
( join(complement(top),meet(join(zero,zero),zero)) != join(zero,meet(zero,join(zero,zero)))
| join(meet(join(zero,zero),zero),complement(top)) != join(complement(top),meet(join(zero,zero),zero))
| join(meet(join(zero,zero),zero),complement(top)) = join(zero,meet(zero,join(zero,zero))) ),
inference(subst,[],[refute_0_25:[bind(X,$fot(join(meet(join(zero,zero),zero),complement(top)))),bind(Y,$fot(join(complement(top),meet(join(zero,zero),zero)))),bind(Z,$fot(join(zero,meet(zero,join(zero,zero)))))]]) ).
cnf(refute_0_1600,plain,
( join(complement(top),meet(join(zero,zero),zero)) != join(zero,meet(zero,join(zero,zero)))
| join(meet(join(zero,zero),zero),complement(top)) = join(zero,meet(zero,join(zero,zero))) ),
inference(resolve,[$cnf( $equal(join(meet(join(zero,zero),zero),complement(top)),join(complement(top),meet(join(zero,zero),zero))) )],[refute_0_1598,refute_0_1599]) ).
cnf(refute_0_1601,plain,
join(meet(join(zero,zero),zero),complement(top)) = join(zero,meet(zero,join(zero,zero))),
inference(resolve,[$cnf( $equal(join(complement(top),meet(join(zero,zero),zero)),join(zero,meet(zero,join(zero,zero)))) )],[refute_0_1597,refute_0_1600]) ).
cnf(refute_0_1602,plain,
( join(meet(join(zero,zero),zero),complement(top)) != join(zero,meet(zero,join(zero,zero)))
| join(zero,zero) != join(meet(join(zero,zero),zero),complement(top))
| join(zero,zero) = join(zero,meet(zero,join(zero,zero))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,zero),join(meet(join(zero,zero),zero),complement(top))) ),[1],$fot(join(zero,meet(zero,join(zero,zero))))]]) ).
cnf(refute_0_1603,plain,
( join(zero,zero) != join(meet(join(zero,zero),zero),complement(top))
| join(zero,zero) = join(zero,meet(zero,join(zero,zero))) ),
inference(resolve,[$cnf( $equal(join(meet(join(zero,zero),zero),complement(top)),join(zero,meet(zero,join(zero,zero)))) )],[refute_0_1601,refute_0_1602]) ).
cnf(refute_0_1604,plain,
join(zero,zero) = join(zero,meet(zero,join(zero,zero))),
inference(resolve,[$cnf( $equal(join(zero,zero),join(meet(join(zero,zero),zero),complement(top))) )],[refute_0_1585,refute_0_1603]) ).
cnf(refute_0_1605,plain,
( join(zero,zero) != join(zero,meet(zero,join(zero,zero)))
| join(zero,meet(zero,join(zero,zero))) = join(zero,zero) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(zero,zero))),bind(Y,$fot(join(zero,meet(zero,join(zero,zero)))))]]) ).
cnf(refute_0_1606,plain,
join(zero,meet(zero,join(zero,zero))) = join(zero,zero),
inference(resolve,[$cnf( $equal(join(zero,zero),join(zero,meet(zero,join(zero,zero)))) )],[refute_0_1604,refute_0_1605]) ).
cnf(refute_0_1607,plain,
( join(zero,meet(zero,join(zero,zero))) != join(zero,zero)
| top != join(meet(top,meet(zero,join(zero,zero))),complement(join(zero,meet(zero,join(zero,zero)))))
| top = join(meet(top,meet(zero,join(zero,zero))),complement(join(zero,zero))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(meet(top,meet(zero,join(zero,zero))),complement(join(zero,meet(zero,join(zero,zero)))))) ),[1,1,0],$fot(join(zero,zero))]]) ).
cnf(refute_0_1608,plain,
( top != join(meet(top,meet(zero,join(zero,zero))),complement(join(zero,meet(zero,join(zero,zero)))))
| top = join(meet(top,meet(zero,join(zero,zero))),complement(join(zero,zero))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(zero,join(zero,zero))),join(zero,zero)) )],[refute_0_1606,refute_0_1607]) ).
cnf(refute_0_1609,plain,
top = join(meet(top,meet(zero,join(zero,zero))),complement(join(zero,zero))),
inference(resolve,[$cnf( $equal(top,join(meet(top,meet(zero,join(zero,zero))),complement(join(zero,meet(zero,join(zero,zero)))))) )],[refute_0_1550,refute_0_1608]) ).
cnf(refute_0_1610,plain,
join(meet(top,meet(zero,join(zero,zero))),complement(join(zero,zero))) = join(complement(join(zero,zero)),meet(top,meet(zero,join(zero,zero)))),
inference(subst,[],[refute_0_6:[bind(X0,$fot(complement(join(zero,zero)))),bind(X1,$fot(meet(top,meet(zero,join(zero,zero)))))]]) ).
cnf(refute_0_1611,plain,
( join(meet(top,meet(zero,join(zero,zero))),complement(join(zero,zero))) != join(complement(join(zero,zero)),meet(top,meet(zero,join(zero,zero))))
| top != join(meet(top,meet(zero,join(zero,zero))),complement(join(zero,zero)))
| top = join(complement(join(zero,zero)),meet(top,meet(zero,join(zero,zero)))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(meet(top,meet(zero,join(zero,zero))),complement(join(zero,zero)))) ),[1],$fot(join(complement(join(zero,zero)),meet(top,meet(zero,join(zero,zero)))))]]) ).
cnf(refute_0_1612,plain,
( top != join(meet(top,meet(zero,join(zero,zero))),complement(join(zero,zero)))
| top = join(complement(join(zero,zero)),meet(top,meet(zero,join(zero,zero)))) ),
inference(resolve,[$cnf( $equal(join(meet(top,meet(zero,join(zero,zero))),complement(join(zero,zero))),join(complement(join(zero,zero)),meet(top,meet(zero,join(zero,zero))))) )],[refute_0_1610,refute_0_1611]) ).
cnf(refute_0_1613,plain,
top = join(complement(join(zero,zero)),meet(top,meet(zero,join(zero,zero)))),
inference(resolve,[$cnf( $equal(top,join(meet(top,meet(zero,join(zero,zero))),complement(join(zero,zero)))) )],[refute_0_1609,refute_0_1612]) ).
cnf(refute_0_1614,plain,
( top != join(complement(join(zero,zero)),meet(top,meet(zero,join(zero,zero))))
| join(complement(join(zero,zero)),meet(top,meet(zero,join(zero,zero)))) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(complement(join(zero,zero)),meet(top,meet(zero,join(zero,zero))))))]]) ).
cnf(refute_0_1615,plain,
join(complement(join(zero,zero)),meet(top,meet(zero,join(zero,zero)))) = top,
inference(resolve,[$cnf( $equal(top,join(complement(join(zero,zero)),meet(top,meet(zero,join(zero,zero))))) )],[refute_0_1613,refute_0_1614]) ).
cnf(refute_0_1616,plain,
( join(complement(join(zero,zero)),meet(top,meet(zero,join(zero,zero)))) != top
| join(zero,zero) != join(meet(join(zero,zero),meet(top,meet(zero,join(zero,zero)))),complement(join(complement(join(zero,zero)),meet(top,meet(zero,join(zero,zero))))))
| join(zero,zero) = join(meet(join(zero,zero),meet(top,meet(zero,join(zero,zero)))),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,zero),join(meet(join(zero,zero),meet(top,meet(zero,join(zero,zero)))),complement(join(complement(join(zero,zero)),meet(top,meet(zero,join(zero,zero))))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_0_1617,plain,
( join(zero,zero) != join(meet(join(zero,zero),meet(top,meet(zero,join(zero,zero)))),complement(join(complement(join(zero,zero)),meet(top,meet(zero,join(zero,zero))))))
| join(zero,zero) = join(meet(join(zero,zero),meet(top,meet(zero,join(zero,zero)))),complement(top)) ),
inference(resolve,[$cnf( $equal(join(complement(join(zero,zero)),meet(top,meet(zero,join(zero,zero)))),top) )],[refute_0_1615,refute_0_1616]) ).
cnf(refute_0_1618,plain,
join(zero,zero) = join(meet(join(zero,zero),meet(top,meet(zero,join(zero,zero)))),complement(top)),
inference(resolve,[$cnf( $equal(join(zero,zero),join(meet(join(zero,zero),meet(top,meet(zero,join(zero,zero)))),complement(join(complement(join(zero,zero)),meet(top,meet(zero,join(zero,zero))))))) )],[refute_0_1545,refute_0_1617]) ).
cnf(refute_0_1619,plain,
join(complement(top),meet(join(zero,zero),meet(top,meet(zero,join(zero,zero))))) = join(complement(top),meet(join(zero,zero),meet(top,meet(zero,join(zero,zero))))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(join(zero,zero),meet(top,meet(zero,join(zero,zero))))))]]) ).
cnf(refute_0_1620,plain,
( complement(top) != zero
| join(complement(top),meet(join(zero,zero),meet(top,meet(zero,join(zero,zero))))) != join(complement(top),meet(join(zero,zero),meet(top,meet(zero,join(zero,zero)))))
| join(complement(top),meet(join(zero,zero),meet(top,meet(zero,join(zero,zero))))) = join(zero,meet(join(zero,zero),meet(top,meet(zero,join(zero,zero))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(join(zero,zero),meet(top,meet(zero,join(zero,zero))))),join(complement(top),meet(join(zero,zero),meet(top,meet(zero,join(zero,zero)))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_1621,plain,
( complement(top) != zero
| join(complement(top),meet(join(zero,zero),meet(top,meet(zero,join(zero,zero))))) = join(zero,meet(join(zero,zero),meet(top,meet(zero,join(zero,zero))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(join(zero,zero),meet(top,meet(zero,join(zero,zero))))),join(complement(top),meet(join(zero,zero),meet(top,meet(zero,join(zero,zero)))))) )],[refute_0_1619,refute_0_1620]) ).
cnf(refute_0_1622,plain,
join(complement(top),meet(join(zero,zero),meet(top,meet(zero,join(zero,zero))))) = join(zero,meet(join(zero,zero),meet(top,meet(zero,join(zero,zero))))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_165,refute_0_1621]) ).
cnf(refute_0_1623,plain,
join(meet(join(zero,zero),meet(top,meet(zero,join(zero,zero)))),complement(top)) = join(complement(top),meet(join(zero,zero),meet(top,meet(zero,join(zero,zero))))),
inference(subst,[],[refute_0_6:[bind(X0,$fot(complement(top))),bind(X1,$fot(meet(join(zero,zero),meet(top,meet(zero,join(zero,zero))))))]]) ).
cnf(refute_0_1624,plain,
( join(complement(top),meet(join(zero,zero),meet(top,meet(zero,join(zero,zero))))) != join(zero,meet(join(zero,zero),meet(top,meet(zero,join(zero,zero)))))
| join(meet(join(zero,zero),meet(top,meet(zero,join(zero,zero)))),complement(top)) != join(complement(top),meet(join(zero,zero),meet(top,meet(zero,join(zero,zero)))))
| join(meet(join(zero,zero),meet(top,meet(zero,join(zero,zero)))),complement(top)) = join(zero,meet(join(zero,zero),meet(top,meet(zero,join(zero,zero))))) ),
inference(subst,[],[refute_0_25:[bind(X,$fot(join(meet(join(zero,zero),meet(top,meet(zero,join(zero,zero)))),complement(top)))),bind(Y,$fot(join(complement(top),meet(join(zero,zero),meet(top,meet(zero,join(zero,zero))))))),bind(Z,$fot(join(zero,meet(join(zero,zero),meet(top,meet(zero,join(zero,zero)))))))]]) ).
cnf(refute_0_1625,plain,
( join(complement(top),meet(join(zero,zero),meet(top,meet(zero,join(zero,zero))))) != join(zero,meet(join(zero,zero),meet(top,meet(zero,join(zero,zero)))))
| join(meet(join(zero,zero),meet(top,meet(zero,join(zero,zero)))),complement(top)) = join(zero,meet(join(zero,zero),meet(top,meet(zero,join(zero,zero))))) ),
inference(resolve,[$cnf( $equal(join(meet(join(zero,zero),meet(top,meet(zero,join(zero,zero)))),complement(top)),join(complement(top),meet(join(zero,zero),meet(top,meet(zero,join(zero,zero)))))) )],[refute_0_1623,refute_0_1624]) ).
cnf(refute_0_1626,plain,
join(meet(join(zero,zero),meet(top,meet(zero,join(zero,zero)))),complement(top)) = join(zero,meet(join(zero,zero),meet(top,meet(zero,join(zero,zero))))),
inference(resolve,[$cnf( $equal(join(complement(top),meet(join(zero,zero),meet(top,meet(zero,join(zero,zero))))),join(zero,meet(join(zero,zero),meet(top,meet(zero,join(zero,zero)))))) )],[refute_0_1622,refute_0_1625]) ).
cnf(refute_0_1627,plain,
( join(meet(join(zero,zero),meet(top,meet(zero,join(zero,zero)))),complement(top)) != join(zero,meet(join(zero,zero),meet(top,meet(zero,join(zero,zero)))))
| join(zero,zero) != join(meet(join(zero,zero),meet(top,meet(zero,join(zero,zero)))),complement(top))
| join(zero,zero) = join(zero,meet(join(zero,zero),meet(top,meet(zero,join(zero,zero))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,zero),join(meet(join(zero,zero),meet(top,meet(zero,join(zero,zero)))),complement(top))) ),[1],$fot(join(zero,meet(join(zero,zero),meet(top,meet(zero,join(zero,zero))))))]]) ).
cnf(refute_0_1628,plain,
( join(zero,zero) != join(meet(join(zero,zero),meet(top,meet(zero,join(zero,zero)))),complement(top))
| join(zero,zero) = join(zero,meet(join(zero,zero),meet(top,meet(zero,join(zero,zero))))) ),
inference(resolve,[$cnf( $equal(join(meet(join(zero,zero),meet(top,meet(zero,join(zero,zero)))),complement(top)),join(zero,meet(join(zero,zero),meet(top,meet(zero,join(zero,zero)))))) )],[refute_0_1626,refute_0_1627]) ).
cnf(refute_0_1629,plain,
join(zero,zero) = join(zero,meet(join(zero,zero),meet(top,meet(zero,join(zero,zero))))),
inference(resolve,[$cnf( $equal(join(zero,zero),join(meet(join(zero,zero),meet(top,meet(zero,join(zero,zero)))),complement(top))) )],[refute_0_1618,refute_0_1628]) ).
cnf(refute_0_1630,plain,
join(zero,meet(zero,meet(top,meet(zero,zero)))) = zero,
inference(subst,[],[refute_0_311:[bind(X0,$fot(zero))]]) ).
cnf(refute_0_1631,plain,
meet(zero,join(zero,zero)) = meet(zero,zero),
inference(subst,[],[refute_0_1544:[bind(X0,$fot(zero))]]) ).
cnf(refute_0_1632,plain,
meet(top,meet(zero,join(zero,zero))) = meet(top,meet(zero,join(zero,zero))),
introduced(tautology,[refl,[$fot(meet(top,meet(zero,join(zero,zero))))]]) ).
cnf(refute_0_1633,plain,
( meet(top,meet(zero,join(zero,zero))) != meet(top,meet(zero,join(zero,zero)))
| meet(zero,join(zero,zero)) != meet(zero,zero)
| meet(top,meet(zero,join(zero,zero))) = meet(top,meet(zero,zero)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,meet(zero,join(zero,zero))),meet(top,meet(zero,join(zero,zero)))) ),[1,1],$fot(meet(zero,zero))]]) ).
cnf(refute_0_1634,plain,
( meet(zero,join(zero,zero)) != meet(zero,zero)
| meet(top,meet(zero,join(zero,zero))) = meet(top,meet(zero,zero)) ),
inference(resolve,[$cnf( $equal(meet(top,meet(zero,join(zero,zero))),meet(top,meet(zero,join(zero,zero)))) )],[refute_0_1632,refute_0_1633]) ).
cnf(refute_0_1635,plain,
meet(top,meet(zero,join(zero,zero))) = meet(top,meet(zero,zero)),
inference(resolve,[$cnf( $equal(meet(zero,join(zero,zero)),meet(zero,zero)) )],[refute_0_1631,refute_0_1634]) ).
cnf(refute_0_1636,plain,
meet(zero,meet(top,meet(zero,join(zero,zero)))) = meet(zero,meet(top,meet(zero,join(zero,zero)))),
introduced(tautology,[refl,[$fot(meet(zero,meet(top,meet(zero,join(zero,zero)))))]]) ).
cnf(refute_0_1637,plain,
( meet(top,meet(zero,join(zero,zero))) != meet(top,meet(zero,zero))
| meet(zero,meet(top,meet(zero,join(zero,zero)))) != meet(zero,meet(top,meet(zero,join(zero,zero))))
| meet(zero,meet(top,meet(zero,join(zero,zero)))) = meet(zero,meet(top,meet(zero,zero))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(zero,meet(top,meet(zero,join(zero,zero)))),meet(zero,meet(top,meet(zero,join(zero,zero))))) ),[1,1],$fot(meet(top,meet(zero,zero)))]]) ).
cnf(refute_0_1638,plain,
( meet(top,meet(zero,join(zero,zero))) != meet(top,meet(zero,zero))
| meet(zero,meet(top,meet(zero,join(zero,zero)))) = meet(zero,meet(top,meet(zero,zero))) ),
inference(resolve,[$cnf( $equal(meet(zero,meet(top,meet(zero,join(zero,zero)))),meet(zero,meet(top,meet(zero,join(zero,zero))))) )],[refute_0_1636,refute_0_1637]) ).
cnf(refute_0_1639,plain,
meet(zero,meet(top,meet(zero,join(zero,zero)))) = meet(zero,meet(top,meet(zero,zero))),
inference(resolve,[$cnf( $equal(meet(top,meet(zero,join(zero,zero))),meet(top,meet(zero,zero))) )],[refute_0_1635,refute_0_1638]) ).
cnf(refute_0_1640,plain,
meet(join(zero,zero),X1) = complement(join(complement(join(zero,zero)),complement(X1))),
inference(subst,[],[refute_0_17:[bind(X0,$fot(join(zero,zero)))]]) ).
cnf(refute_0_1641,plain,
( complement(join(zero,zero)) != top
| meet(join(zero,zero),X1) != complement(join(complement(join(zero,zero)),complement(X1)))
| meet(join(zero,zero),X1) = complement(join(top,complement(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(zero,zero),X1),complement(join(complement(join(zero,zero)),complement(X1)))) ),[1,0,0],$fot(top)]]) ).
cnf(refute_0_1642,plain,
( meet(join(zero,zero),X1) != complement(join(complement(join(zero,zero)),complement(X1)))
| meet(join(zero,zero),X1) = complement(join(top,complement(X1))) ),
inference(resolve,[$cnf( $equal(complement(join(zero,zero)),top) )],[refute_0_1527,refute_0_1641]) ).
cnf(refute_0_1643,plain,
meet(join(zero,zero),X1) = complement(join(top,complement(X1))),
inference(resolve,[$cnf( $equal(meet(join(zero,zero),X1),complement(join(complement(join(zero,zero)),complement(X1)))) )],[refute_0_1640,refute_0_1642]) ).
cnf(refute_0_1644,plain,
( complement(join(top,complement(X1))) != meet(zero,X1)
| meet(join(zero,zero),X1) != complement(join(top,complement(X1)))
| meet(join(zero,zero),X1) = meet(zero,X1) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(zero,zero),X1),complement(join(top,complement(X1)))) ),[1],$fot(meet(zero,X1))]]) ).
cnf(refute_0_1645,plain,
( meet(join(zero,zero),X1) != complement(join(top,complement(X1)))
| meet(join(zero,zero),X1) = meet(zero,X1) ),
inference(resolve,[$cnf( $equal(complement(join(top,complement(X1))),meet(zero,X1)) )],[refute_0_1532,refute_0_1644]) ).
cnf(refute_0_1646,plain,
meet(join(zero,zero),X1) = meet(zero,X1),
inference(resolve,[$cnf( $equal(meet(join(zero,zero),X1),complement(join(top,complement(X1)))) )],[refute_0_1643,refute_0_1645]) ).
cnf(refute_0_1647,plain,
meet(join(zero,zero),meet(top,meet(zero,join(zero,zero)))) = meet(zero,meet(top,meet(zero,join(zero,zero)))),
inference(subst,[],[refute_0_1646:[bind(X1,$fot(meet(top,meet(zero,join(zero,zero)))))]]) ).
cnf(refute_0_1648,plain,
( meet(join(zero,zero),meet(top,meet(zero,join(zero,zero)))) != meet(zero,meet(top,meet(zero,join(zero,zero))))
| meet(zero,meet(top,meet(zero,join(zero,zero)))) != meet(zero,meet(top,meet(zero,zero)))
| meet(join(zero,zero),meet(top,meet(zero,join(zero,zero)))) = meet(zero,meet(top,meet(zero,zero))) ),
inference(subst,[],[refute_0_25:[bind(X,$fot(meet(join(zero,zero),meet(top,meet(zero,join(zero,zero)))))),bind(Y,$fot(meet(zero,meet(top,meet(zero,join(zero,zero)))))),bind(Z,$fot(meet(zero,meet(top,meet(zero,zero)))))]]) ).
cnf(refute_0_1649,plain,
( meet(zero,meet(top,meet(zero,join(zero,zero)))) != meet(zero,meet(top,meet(zero,zero)))
| meet(join(zero,zero),meet(top,meet(zero,join(zero,zero)))) = meet(zero,meet(top,meet(zero,zero))) ),
inference(resolve,[$cnf( $equal(meet(join(zero,zero),meet(top,meet(zero,join(zero,zero)))),meet(zero,meet(top,meet(zero,join(zero,zero))))) )],[refute_0_1647,refute_0_1648]) ).
cnf(refute_0_1650,plain,
meet(join(zero,zero),meet(top,meet(zero,join(zero,zero)))) = meet(zero,meet(top,meet(zero,zero))),
inference(resolve,[$cnf( $equal(meet(zero,meet(top,meet(zero,join(zero,zero)))),meet(zero,meet(top,meet(zero,zero)))) )],[refute_0_1639,refute_0_1649]) ).
cnf(refute_0_1651,plain,
join(zero,meet(join(zero,zero),meet(top,meet(zero,join(zero,zero))))) = join(zero,meet(join(zero,zero),meet(top,meet(zero,join(zero,zero))))),
introduced(tautology,[refl,[$fot(join(zero,meet(join(zero,zero),meet(top,meet(zero,join(zero,zero))))))]]) ).
cnf(refute_0_1652,plain,
( join(zero,meet(join(zero,zero),meet(top,meet(zero,join(zero,zero))))) != join(zero,meet(join(zero,zero),meet(top,meet(zero,join(zero,zero)))))
| meet(join(zero,zero),meet(top,meet(zero,join(zero,zero)))) != meet(zero,meet(top,meet(zero,zero)))
| join(zero,meet(join(zero,zero),meet(top,meet(zero,join(zero,zero))))) = join(zero,meet(zero,meet(top,meet(zero,zero)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(join(zero,zero),meet(top,meet(zero,join(zero,zero))))),join(zero,meet(join(zero,zero),meet(top,meet(zero,join(zero,zero)))))) ),[1,1],$fot(meet(zero,meet(top,meet(zero,zero))))]]) ).
cnf(refute_0_1653,plain,
( meet(join(zero,zero),meet(top,meet(zero,join(zero,zero)))) != meet(zero,meet(top,meet(zero,zero)))
| join(zero,meet(join(zero,zero),meet(top,meet(zero,join(zero,zero))))) = join(zero,meet(zero,meet(top,meet(zero,zero)))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(join(zero,zero),meet(top,meet(zero,join(zero,zero))))),join(zero,meet(join(zero,zero),meet(top,meet(zero,join(zero,zero)))))) )],[refute_0_1651,refute_0_1652]) ).
cnf(refute_0_1654,plain,
join(zero,meet(join(zero,zero),meet(top,meet(zero,join(zero,zero))))) = join(zero,meet(zero,meet(top,meet(zero,zero)))),
inference(resolve,[$cnf( $equal(meet(join(zero,zero),meet(top,meet(zero,join(zero,zero)))),meet(zero,meet(top,meet(zero,zero)))) )],[refute_0_1650,refute_0_1653]) ).
cnf(refute_0_1655,plain,
( join(zero,meet(join(zero,zero),meet(top,meet(zero,join(zero,zero))))) != join(zero,meet(zero,meet(top,meet(zero,zero))))
| join(zero,meet(zero,meet(top,meet(zero,zero)))) != zero
| join(zero,meet(join(zero,zero),meet(top,meet(zero,join(zero,zero))))) = zero ),
inference(subst,[],[refute_0_25:[bind(X,$fot(join(zero,meet(join(zero,zero),meet(top,meet(zero,join(zero,zero))))))),bind(Y,$fot(join(zero,meet(zero,meet(top,meet(zero,zero)))))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_1656,plain,
( join(zero,meet(zero,meet(top,meet(zero,zero)))) != zero
| join(zero,meet(join(zero,zero),meet(top,meet(zero,join(zero,zero))))) = zero ),
inference(resolve,[$cnf( $equal(join(zero,meet(join(zero,zero),meet(top,meet(zero,join(zero,zero))))),join(zero,meet(zero,meet(top,meet(zero,zero))))) )],[refute_0_1654,refute_0_1655]) ).
cnf(refute_0_1657,plain,
join(zero,meet(join(zero,zero),meet(top,meet(zero,join(zero,zero))))) = zero,
inference(resolve,[$cnf( $equal(join(zero,meet(zero,meet(top,meet(zero,zero)))),zero) )],[refute_0_1630,refute_0_1656]) ).
cnf(refute_0_1658,plain,
( join(zero,meet(join(zero,zero),meet(top,meet(zero,join(zero,zero))))) != zero
| join(zero,zero) != join(zero,meet(join(zero,zero),meet(top,meet(zero,join(zero,zero)))))
| join(zero,zero) = zero ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,zero),join(zero,meet(join(zero,zero),meet(top,meet(zero,join(zero,zero)))))) ),[1],$fot(zero)]]) ).
cnf(refute_0_1659,plain,
( join(zero,zero) != join(zero,meet(join(zero,zero),meet(top,meet(zero,join(zero,zero)))))
| join(zero,zero) = zero ),
inference(resolve,[$cnf( $equal(join(zero,meet(join(zero,zero),meet(top,meet(zero,join(zero,zero))))),zero) )],[refute_0_1657,refute_0_1658]) ).
cnf(refute_0_1660,plain,
join(zero,zero) = zero,
inference(resolve,[$cnf( $equal(join(zero,zero),join(zero,meet(join(zero,zero),meet(top,meet(zero,join(zero,zero)))))) )],[refute_0_1629,refute_0_1659]) ).
cnf(refute_0_1661,plain,
meet(X0,join(zero,zero)) = meet(X0,join(zero,zero)),
introduced(tautology,[refl,[$fot(meet(X0,join(zero,zero)))]]) ).
cnf(refute_0_1662,plain,
( join(zero,zero) != zero
| meet(X0,join(zero,zero)) != meet(X0,join(zero,zero))
| meet(X0,join(zero,zero)) = meet(X0,zero) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X0,join(zero,zero)),meet(X0,join(zero,zero))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_1663,plain,
( join(zero,zero) != zero
| meet(X0,join(zero,zero)) = meet(X0,zero) ),
inference(resolve,[$cnf( $equal(meet(X0,join(zero,zero)),meet(X0,join(zero,zero))) )],[refute_0_1661,refute_0_1662]) ).
cnf(refute_0_1664,plain,
meet(X0,join(zero,zero)) = meet(X0,zero),
inference(resolve,[$cnf( $equal(join(zero,zero),zero) )],[refute_0_1660,refute_0_1663]) ).
cnf(refute_0_1665,plain,
( meet(X0,join(zero,zero)) != meet(X0,zero)
| meet(X0,join(zero,zero)) != meet(zero,X0)
| meet(X0,zero) = meet(zero,X0) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X0,join(zero,zero)),meet(zero,X0)) ),[0],$fot(meet(X0,zero))]]) ).
cnf(refute_0_1666,plain,
( meet(X0,join(zero,zero)) != meet(zero,X0)
| meet(X0,zero) = meet(zero,X0) ),
inference(resolve,[$cnf( $equal(meet(X0,join(zero,zero)),meet(X0,zero)) )],[refute_0_1664,refute_0_1665]) ).
cnf(refute_0_1667,plain,
meet(X0,zero) = meet(zero,X0),
inference(resolve,[$cnf( $equal(meet(X0,join(zero,zero)),meet(zero,X0)) )],[refute_0_1544,refute_0_1666]) ).
cnf(refute_0_1668,plain,
meet(zero,X0) = zero,
inference(subst,[],[refute_0_713:[bind(X1,$fot(X0))]]) ).
cnf(refute_0_1669,plain,
( meet(X0,zero) != meet(zero,X0)
| meet(zero,X0) != zero
| meet(X0,zero) = zero ),
introduced(tautology,[equality,[$cnf( ~ $equal(meet(X0,zero),zero) ),[0],$fot(meet(zero,X0))]]) ).
cnf(refute_0_1670,plain,
( meet(X0,zero) != meet(zero,X0)
| meet(X0,zero) = zero ),
inference(resolve,[$cnf( $equal(meet(zero,X0),zero) )],[refute_0_1668,refute_0_1669]) ).
cnf(refute_0_1671,plain,
meet(X0,zero) = zero,
inference(resolve,[$cnf( $equal(meet(X0,zero),meet(zero,X0)) )],[refute_0_1667,refute_0_1670]) ).
cnf(refute_0_1672,plain,
meet(join(X_67,top),zero) = zero,
inference(subst,[],[refute_0_1671:[bind(X0,$fot(join(X_67,top)))]]) ).
cnf(refute_0_1673,plain,
meet(X_67,zero) = zero,
inference(subst,[],[refute_0_1671:[bind(X0,$fot(X_67))]]) ).
cnf(refute_0_1674,plain,
meet(join(X_67,top),meet(X_67,zero)) = meet(join(X_67,top),meet(X_67,zero)),
introduced(tautology,[refl,[$fot(meet(join(X_67,top),meet(X_67,zero)))]]) ).
cnf(refute_0_1675,plain,
( meet(X_67,zero) != zero
| meet(join(X_67,top),meet(X_67,zero)) != meet(join(X_67,top),meet(X_67,zero))
| meet(join(X_67,top),meet(X_67,zero)) = meet(join(X_67,top),zero) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_67,top),meet(X_67,zero)),meet(join(X_67,top),meet(X_67,zero))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_1676,plain,
( meet(X_67,zero) != zero
| meet(join(X_67,top),meet(X_67,zero)) = meet(join(X_67,top),zero) ),
inference(resolve,[$cnf( $equal(meet(join(X_67,top),meet(X_67,zero)),meet(join(X_67,top),meet(X_67,zero))) )],[refute_0_1674,refute_0_1675]) ).
cnf(refute_0_1677,plain,
meet(join(X_67,top),meet(X_67,zero)) = meet(join(X_67,top),zero),
inference(resolve,[$cnf( $equal(meet(X_67,zero),zero) )],[refute_0_1673,refute_0_1676]) ).
cnf(refute_0_1678,plain,
( meet(join(X_67,top),meet(X_67,zero)) != meet(join(X_67,top),zero)
| meet(join(X_67,top),zero) != zero
| meet(join(X_67,top),meet(X_67,zero)) = zero ),
inference(subst,[],[refute_0_25:[bind(X,$fot(meet(join(X_67,top),meet(X_67,zero)))),bind(Y,$fot(meet(join(X_67,top),zero))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_1679,plain,
( meet(join(X_67,top),zero) != zero
| meet(join(X_67,top),meet(X_67,zero)) = zero ),
inference(resolve,[$cnf( $equal(meet(join(X_67,top),meet(X_67,zero)),meet(join(X_67,top),zero)) )],[refute_0_1677,refute_0_1678]) ).
cnf(refute_0_1680,plain,
meet(join(X_67,top),meet(X_67,zero)) = zero,
inference(resolve,[$cnf( $equal(meet(join(X_67,top),zero),zero) )],[refute_0_1672,refute_0_1679]) ).
cnf(refute_0_1681,plain,
join(top,meet(join(X_67,top),meet(X_67,zero))) = join(top,meet(join(X_67,top),meet(X_67,zero))),
introduced(tautology,[refl,[$fot(join(top,meet(join(X_67,top),meet(X_67,zero))))]]) ).
cnf(refute_0_1682,plain,
( join(top,meet(join(X_67,top),meet(X_67,zero))) != join(top,meet(join(X_67,top),meet(X_67,zero)))
| meet(join(X_67,top),meet(X_67,zero)) != zero
| join(top,meet(join(X_67,top),meet(X_67,zero))) = join(top,zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(top,meet(join(X_67,top),meet(X_67,zero))),join(top,meet(join(X_67,top),meet(X_67,zero)))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_1683,plain,
( meet(join(X_67,top),meet(X_67,zero)) != zero
| join(top,meet(join(X_67,top),meet(X_67,zero))) = join(top,zero) ),
inference(resolve,[$cnf( $equal(join(top,meet(join(X_67,top),meet(X_67,zero))),join(top,meet(join(X_67,top),meet(X_67,zero)))) )],[refute_0_1681,refute_0_1682]) ).
cnf(refute_0_1684,plain,
join(top,meet(join(X_67,top),meet(X_67,zero))) = join(top,zero),
inference(resolve,[$cnf( $equal(meet(join(X_67,top),meet(X_67,zero)),zero) )],[refute_0_1680,refute_0_1683]) ).
cnf(refute_0_1685,plain,
( join(top,meet(join(X_67,top),meet(X_67,zero))) != join(top,zero)
| join(top,zero) != top
| join(top,meet(join(X_67,top),meet(X_67,zero))) = top ),
inference(subst,[],[refute_0_25:[bind(X,$fot(join(top,meet(join(X_67,top),meet(X_67,zero))))),bind(Y,$fot(join(top,zero))),bind(Z,$fot(top))]]) ).
cnf(refute_0_1686,plain,
( join(top,zero) != top
| join(top,meet(join(X_67,top),meet(X_67,zero))) = top ),
inference(resolve,[$cnf( $equal(join(top,meet(join(X_67,top),meet(X_67,zero))),join(top,zero)) )],[refute_0_1684,refute_0_1685]) ).
cnf(refute_0_1687,plain,
join(top,meet(join(X_67,top),meet(X_67,zero))) = top,
inference(resolve,[$cnf( $equal(join(top,zero),top) )],[refute_0_499,refute_0_1686]) ).
cnf(refute_0_1688,plain,
( join(X_67,top) != join(top,meet(join(X_67,top),meet(X_67,zero)))
| join(top,meet(join(X_67,top),meet(X_67,zero))) != top
| join(X_67,top) = top ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_67,top),top) ),[0],$fot(join(top,meet(join(X_67,top),meet(X_67,zero))))]]) ).
cnf(refute_0_1689,plain,
( join(X_67,top) != join(top,meet(join(X_67,top),meet(X_67,zero)))
| join(X_67,top) = top ),
inference(resolve,[$cnf( $equal(join(top,meet(join(X_67,top),meet(X_67,zero))),top) )],[refute_0_1687,refute_0_1688]) ).
cnf(refute_0_1690,plain,
join(X_67,top) = top,
inference(resolve,[$cnf( $equal(join(X_67,top),join(top,meet(join(X_67,top),meet(X_67,zero)))) )],[refute_0_1510,refute_0_1689]) ).
cnf(refute_0_1691,plain,
join(X_222,top) = top,
inference(subst,[],[refute_0_1690:[bind(X_67,$fot(X_222))]]) ).
cnf(refute_0_1692,plain,
( join(X_222,top) != top
| join(X_223,join(X_222,complement(X_223))) != join(X_222,top)
| join(X_223,join(X_222,complement(X_223))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(X_223,join(X_222,complement(X_223))),join(X_222,top)) ),[1],$fot(top)]]) ).
cnf(refute_0_1693,plain,
( join(X_223,join(X_222,complement(X_223))) != join(X_222,top)
| join(X_223,join(X_222,complement(X_223))) = top ),
inference(resolve,[$cnf( $equal(join(X_222,top),top) )],[refute_0_1691,refute_0_1692]) ).
cnf(refute_0_1694,plain,
( join(complement(X_223),join(X_222,X_223)) != join(X_222,top)
| join(X_223,join(X_222,complement(X_223))) = top ),
inference(resolve,[$cnf( $equal(join(X_223,join(X_222,complement(X_223))),join(X_222,top)) )],[refute_0_1480,refute_0_1693]) ).
cnf(refute_0_1695,plain,
join(X_223,join(X_222,complement(X_223))) = top,
inference(resolve,[$cnf( $equal(join(complement(X_223),join(X_222,X_223)),join(X_222,top)) )],[refute_0_1468,refute_0_1694]) ).
cnf(refute_0_1696,plain,
join(complement(X0),join(X_225,complement(complement(X0)))) = top,
inference(subst,[],[refute_0_1695:[bind(X_222,$fot(X_225)),bind(X_223,$fot(complement(X0)))]]) ).
cnf(refute_0_1697,plain,
( X0 != meet(X0,join(join(X_225,complement(complement(X0))),complement(join(complement(X0),join(X_225,complement(complement(X0)))))))
| join(complement(X0),join(X_225,complement(complement(X0)))) != top
| X0 = meet(X0,join(join(X_225,complement(complement(X0))),complement(top))) ),
introduced(tautology,[equality,[$cnf( $equal(X0,meet(X0,join(join(X_225,complement(complement(X0))),complement(join(complement(X0),join(X_225,complement(complement(X0)))))))) ),[1,1,1,0],$fot(top)]]) ).
cnf(refute_0_1698,plain,
( X0 != meet(X0,join(join(X_225,complement(complement(X0))),complement(join(complement(X0),join(X_225,complement(complement(X0)))))))
| X0 = meet(X0,join(join(X_225,complement(complement(X0))),complement(top))) ),
inference(resolve,[$cnf( $equal(join(complement(X0),join(X_225,complement(complement(X0)))),top) )],[refute_0_1696,refute_0_1697]) ).
cnf(refute_0_1699,plain,
X0 = meet(X0,join(join(X_225,complement(complement(X0))),complement(top))),
inference(resolve,[$cnf( $equal(X0,meet(X0,join(join(X_225,complement(complement(X0))),complement(join(complement(X0),join(X_225,complement(complement(X0)))))))) )],[refute_0_1454,refute_0_1698]) ).
cnf(refute_0_1700,plain,
join(complement(top),complement(complement(X0))) = complement(meet(top,complement(X0))),
inference(subst,[],[refute_0_248:[bind(X_39,$fot(top)),bind(X_40,$fot(complement(X0)))]]) ).
cnf(refute_0_1701,plain,
( complement(meet(top,complement(X0))) != X0
| join(complement(top),complement(complement(X0))) != complement(meet(top,complement(X0)))
| join(complement(top),complement(complement(X0))) = X0 ),
inference(subst,[],[refute_0_25:[bind(X,$fot(join(complement(top),complement(complement(X0))))),bind(Y,$fot(complement(meet(top,complement(X0))))),bind(Z,$fot(X0))]]) ).
cnf(refute_0_1702,plain,
( complement(meet(top,complement(X0))) != X0
| join(complement(top),complement(complement(X0))) = X0 ),
inference(resolve,[$cnf( $equal(join(complement(top),complement(complement(X0))),complement(meet(top,complement(X0)))) )],[refute_0_1700,refute_0_1701]) ).
cnf(refute_0_1703,plain,
join(complement(top),complement(complement(X0))) = X0,
inference(resolve,[$cnf( $equal(complement(meet(top,complement(X0))),X0) )],[refute_0_756,refute_0_1702]) ).
cnf(refute_0_1704,plain,
join(X_225,join(complement(top),complement(complement(X0)))) = join(X_225,join(complement(top),complement(complement(X0)))),
introduced(tautology,[refl,[$fot(join(X_225,join(complement(top),complement(complement(X0)))))]]) ).
cnf(refute_0_1705,plain,
( join(X_225,join(complement(top),complement(complement(X0)))) != join(X_225,join(complement(top),complement(complement(X0))))
| join(complement(top),complement(complement(X0))) != X0
| join(X_225,join(complement(top),complement(complement(X0)))) = join(X_225,X0) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_225,join(complement(top),complement(complement(X0)))),join(X_225,join(complement(top),complement(complement(X0))))) ),[1,1],$fot(X0)]]) ).
cnf(refute_0_1706,plain,
( join(complement(top),complement(complement(X0))) != X0
| join(X_225,join(complement(top),complement(complement(X0)))) = join(X_225,X0) ),
inference(resolve,[$cnf( $equal(join(X_225,join(complement(top),complement(complement(X0)))),join(X_225,join(complement(top),complement(complement(X0))))) )],[refute_0_1704,refute_0_1705]) ).
cnf(refute_0_1707,plain,
join(X_225,join(complement(top),complement(complement(X0)))) = join(X_225,X0),
inference(resolve,[$cnf( $equal(join(complement(top),complement(complement(X0))),X0) )],[refute_0_1703,refute_0_1706]) ).
cnf(refute_0_1708,plain,
join(X_225,join(complement(complement(X0)),complement(top))) = join(X_225,join(complement(top),complement(complement(X0)))),
inference(subst,[],[refute_0_616:[bind(X_31,$fot(X_225)),bind(X_32,$fot(complement(complement(X0)))),bind(X_33,$fot(complement(top)))]]) ).
cnf(refute_0_1709,plain,
join(join(X_225,complement(complement(X0))),complement(top)) = join(X_225,join(complement(complement(X0)),complement(top))),
inference(subst,[],[refute_0_463:[bind(X0,$fot(X_225)),bind(X1,$fot(complement(complement(X0)))),bind(X2,$fot(complement(top)))]]) ).
cnf(refute_0_1710,plain,
( join(X_225,join(complement(complement(X0)),complement(top))) != join(X_225,join(complement(top),complement(complement(X0))))
| join(join(X_225,complement(complement(X0))),complement(top)) != join(X_225,join(complement(complement(X0)),complement(top)))
| join(join(X_225,complement(complement(X0))),complement(top)) = join(X_225,join(complement(top),complement(complement(X0)))) ),
inference(subst,[],[refute_0_25:[bind(X,$fot(join(join(X_225,complement(complement(X0))),complement(top)))),bind(Y,$fot(join(X_225,join(complement(complement(X0)),complement(top))))),bind(Z,$fot(join(X_225,join(complement(top),complement(complement(X0))))))]]) ).
cnf(refute_0_1711,plain,
( join(X_225,join(complement(complement(X0)),complement(top))) != join(X_225,join(complement(top),complement(complement(X0))))
| join(join(X_225,complement(complement(X0))),complement(top)) = join(X_225,join(complement(top),complement(complement(X0)))) ),
inference(resolve,[$cnf( $equal(join(join(X_225,complement(complement(X0))),complement(top)),join(X_225,join(complement(complement(X0)),complement(top)))) )],[refute_0_1709,refute_0_1710]) ).
cnf(refute_0_1712,plain,
join(join(X_225,complement(complement(X0))),complement(top)) = join(X_225,join(complement(top),complement(complement(X0)))),
inference(resolve,[$cnf( $equal(join(X_225,join(complement(complement(X0)),complement(top))),join(X_225,join(complement(top),complement(complement(X0))))) )],[refute_0_1708,refute_0_1711]) ).
cnf(refute_0_1713,plain,
( join(X_225,join(complement(top),complement(complement(X0)))) != join(X_225,X0)
| join(join(X_225,complement(complement(X0))),complement(top)) != join(X_225,join(complement(top),complement(complement(X0))))
| join(join(X_225,complement(complement(X0))),complement(top)) = join(X_225,X0) ),
inference(subst,[],[refute_0_25:[bind(X,$fot(join(join(X_225,complement(complement(X0))),complement(top)))),bind(Y,$fot(join(X_225,join(complement(top),complement(complement(X0)))))),bind(Z,$fot(join(X_225,X0)))]]) ).
cnf(refute_0_1714,plain,
( join(X_225,join(complement(top),complement(complement(X0)))) != join(X_225,X0)
| join(join(X_225,complement(complement(X0))),complement(top)) = join(X_225,X0) ),
inference(resolve,[$cnf( $equal(join(join(X_225,complement(complement(X0))),complement(top)),join(X_225,join(complement(top),complement(complement(X0))))) )],[refute_0_1712,refute_0_1713]) ).
cnf(refute_0_1715,plain,
join(join(X_225,complement(complement(X0))),complement(top)) = join(X_225,X0),
inference(resolve,[$cnf( $equal(join(X_225,join(complement(top),complement(complement(X0)))),join(X_225,X0)) )],[refute_0_1707,refute_0_1714]) ).
cnf(refute_0_1716,plain,
meet(X0,join(join(X_225,complement(complement(X0))),complement(top))) = meet(X0,join(join(X_225,complement(complement(X0))),complement(top))),
introduced(tautology,[refl,[$fot(meet(X0,join(join(X_225,complement(complement(X0))),complement(top))))]]) ).
cnf(refute_0_1717,plain,
( join(join(X_225,complement(complement(X0))),complement(top)) != join(X_225,X0)
| meet(X0,join(join(X_225,complement(complement(X0))),complement(top))) != meet(X0,join(join(X_225,complement(complement(X0))),complement(top)))
| meet(X0,join(join(X_225,complement(complement(X0))),complement(top))) = meet(X0,join(X_225,X0)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X0,join(join(X_225,complement(complement(X0))),complement(top))),meet(X0,join(join(X_225,complement(complement(X0))),complement(top)))) ),[1,1],$fot(join(X_225,X0))]]) ).
cnf(refute_0_1718,plain,
( join(join(X_225,complement(complement(X0))),complement(top)) != join(X_225,X0)
| meet(X0,join(join(X_225,complement(complement(X0))),complement(top))) = meet(X0,join(X_225,X0)) ),
inference(resolve,[$cnf( $equal(meet(X0,join(join(X_225,complement(complement(X0))),complement(top))),meet(X0,join(join(X_225,complement(complement(X0))),complement(top)))) )],[refute_0_1716,refute_0_1717]) ).
cnf(refute_0_1719,plain,
meet(X0,join(join(X_225,complement(complement(X0))),complement(top))) = meet(X0,join(X_225,X0)),
inference(resolve,[$cnf( $equal(join(join(X_225,complement(complement(X0))),complement(top)),join(X_225,X0)) )],[refute_0_1715,refute_0_1718]) ).
cnf(refute_0_1720,plain,
( X0 != meet(X0,join(join(X_225,complement(complement(X0))),complement(top)))
| meet(X0,join(join(X_225,complement(complement(X0))),complement(top))) != meet(X0,join(X_225,X0))
| X0 = meet(X0,join(X_225,X0)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X0,meet(X0,join(X_225,X0))) ),[0],$fot(meet(X0,join(join(X_225,complement(complement(X0))),complement(top))))]]) ).
cnf(refute_0_1721,plain,
( X0 != meet(X0,join(join(X_225,complement(complement(X0))),complement(top)))
| X0 = meet(X0,join(X_225,X0)) ),
inference(resolve,[$cnf( $equal(meet(X0,join(join(X_225,complement(complement(X0))),complement(top))),meet(X0,join(X_225,X0))) )],[refute_0_1719,refute_0_1720]) ).
cnf(refute_0_1722,plain,
X0 = meet(X0,join(X_225,X0)),
inference(resolve,[$cnf( $equal(X0,meet(X0,join(join(X_225,complement(complement(X0))),complement(top)))) )],[refute_0_1699,refute_0_1721]) ).
cnf(refute_0_1723,plain,
X_266 = meet(X_266,join(X_225,X_266)),
inference(subst,[],[refute_0_1722:[bind(X0,$fot(X_266))]]) ).
cnf(refute_0_1724,plain,
( X_266 != meet(X_266,join(X_225,X_266))
| meet(X_266,join(X_225,X_266)) = X_266 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(X_266)),bind(Y,$fot(meet(X_266,join(X_225,X_266))))]]) ).
cnf(refute_0_1725,plain,
meet(X_266,join(X_225,X_266)) = X_266,
inference(resolve,[$cnf( $equal(X_266,meet(X_266,join(X_225,X_266))) )],[refute_0_1723,refute_0_1724]) ).
cnf(refute_0_1726,plain,
( join(meet(X_266,join(X_225,X_266)),join(meet(X_266,complement(join(X_225,X_266))),X_265)) != join(X_266,X_265)
| meet(X_266,join(X_225,X_266)) != X_266
| join(X_266,join(meet(X_266,complement(join(X_225,X_266))),X_265)) = join(X_266,X_265) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_266,join(X_225,X_266)),join(meet(X_266,complement(join(X_225,X_266))),X_265)),join(X_266,X_265)) ),[0,0],$fot(X_266)]]) ).
cnf(refute_0_1727,plain,
( join(meet(X_266,join(X_225,X_266)),join(meet(X_266,complement(join(X_225,X_266))),X_265)) != join(X_266,X_265)
| join(X_266,join(meet(X_266,complement(join(X_225,X_266))),X_265)) = join(X_266,X_265) ),
inference(resolve,[$cnf( $equal(meet(X_266,join(X_225,X_266)),X_266) )],[refute_0_1725,refute_0_1726]) ).
cnf(refute_0_1728,plain,
join(X_266,join(meet(X_266,complement(join(X_225,X_266))),X_265)) = join(X_266,X_265),
inference(resolve,[$cnf( $equal(join(meet(X_266,join(X_225,X_266)),join(meet(X_266,complement(join(X_225,X_266))),X_265)),join(X_266,X_265)) )],[refute_0_1431,refute_0_1727]) ).
cnf(refute_0_1729,plain,
join(X0,join(X_31,meet(X_31,X_269))) = join(X_31,join(meet(X_31,X_269),X0)),
inference(subst,[],[refute_0_1461:[bind(X_32,$fot(meet(X_31,X_269)))]]) ).
cnf(refute_0_1730,plain,
join(X_31,meet(X_31,X_269)) = X_31,
inference(subst,[],[refute_0_1420:[bind(X_266,$fot(X_31)),bind(X_267,$fot(X_269))]]) ).
cnf(refute_0_1731,plain,
( join(X0,join(X_31,meet(X_31,X_269))) != join(X_31,join(meet(X_31,X_269),X0))
| join(X_31,meet(X_31,X_269)) != X_31
| join(X0,X_31) = join(X_31,join(meet(X_31,X_269),X0)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X0,join(X_31,meet(X_31,X_269))),join(X_31,join(meet(X_31,X_269),X0))) ),[0,1],$fot(X_31)]]) ).
cnf(refute_0_1732,plain,
( join(X0,join(X_31,meet(X_31,X_269))) != join(X_31,join(meet(X_31,X_269),X0))
| join(X0,X_31) = join(X_31,join(meet(X_31,X_269),X0)) ),
inference(resolve,[$cnf( $equal(join(X_31,meet(X_31,X_269)),X_31) )],[refute_0_1730,refute_0_1731]) ).
cnf(refute_0_1733,plain,
join(X0,X_31) = join(X_31,join(meet(X_31,X_269),X0)),
inference(resolve,[$cnf( $equal(join(X0,join(X_31,meet(X_31,X_269))),join(X_31,join(meet(X_31,X_269),X0))) )],[refute_0_1729,refute_0_1732]) ).
cnf(refute_0_1734,plain,
( join(X0,X_31) != join(X_31,join(meet(X_31,X_269),X0))
| join(X_31,join(meet(X_31,X_269),X0)) = join(X0,X_31) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(X0,X_31))),bind(Y,$fot(join(X_31,join(meet(X_31,X_269),X0))))]]) ).
cnf(refute_0_1735,plain,
join(X_31,join(meet(X_31,X_269),X0)) = join(X0,X_31),
inference(resolve,[$cnf( $equal(join(X0,X_31),join(X_31,join(meet(X_31,X_269),X0))) )],[refute_0_1733,refute_0_1734]) ).
cnf(refute_0_1736,plain,
join(X_266,join(meet(X_266,complement(join(X_225,X_266))),X_265)) = join(X_265,X_266),
inference(subst,[],[refute_0_1735:[bind(X0,$fot(X_265)),bind(X_269,$fot(complement(join(X_225,X_266)))),bind(X_31,$fot(X_266))]]) ).
cnf(refute_0_1737,plain,
( join(X_266,join(meet(X_266,complement(join(X_225,X_266))),X_265)) != join(X_265,X_266)
| join(X_266,join(meet(X_266,complement(join(X_225,X_266))),X_265)) != join(X_266,X_265)
| join(X_265,X_266) = join(X_266,X_265) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_266,join(meet(X_266,complement(join(X_225,X_266))),X_265)),join(X_266,X_265)) ),[0],$fot(join(X_265,X_266))]]) ).
cnf(refute_0_1738,plain,
( join(X_266,join(meet(X_266,complement(join(X_225,X_266))),X_265)) != join(X_266,X_265)
| join(X_265,X_266) = join(X_266,X_265) ),
inference(resolve,[$cnf( $equal(join(X_266,join(meet(X_266,complement(join(X_225,X_266))),X_265)),join(X_265,X_266)) )],[refute_0_1736,refute_0_1737]) ).
cnf(refute_0_1739,plain,
join(X_265,X_266) = join(X_266,X_265),
inference(resolve,[$cnf( $equal(join(X_266,join(meet(X_266,complement(join(X_225,X_266))),X_265)),join(X_266,X_265)) )],[refute_0_1728,refute_0_1738]) ).
cnf(refute_0_1740,plain,
( join(X_265,X_266) != join(X_266,X_265)
| join(X_266,X_265) = join(X_265,X_266) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(X_265,X_266))),bind(Y,$fot(join(X_266,X_265)))]]) ).
cnf(refute_0_1741,plain,
join(X_266,X_265) = join(X_265,X_266),
inference(resolve,[$cnf( $equal(join(X_265,X_266),join(X_266,X_265)) )],[refute_0_1739,refute_0_1740]) ).
cnf(refute_0_1742,plain,
join(converse(complement(converse(complement(X_279)))),X_279) = join(X_279,converse(complement(converse(complement(X_279))))),
inference(subst,[],[refute_0_1741:[bind(X_265,$fot(X_279)),bind(X_266,$fot(converse(complement(converse(complement(X_279))))))]]) ).
cnf(refute_0_1743,plain,
( converse(complement(converse(complement(X_279)))) != join(converse(complement(converse(complement(X_279)))),X_279)
| join(converse(complement(converse(complement(X_279)))),X_279) != join(X_279,converse(complement(converse(complement(X_279)))))
| converse(complement(converse(complement(X_279)))) = join(X_279,converse(complement(converse(complement(X_279))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(complement(converse(complement(X_279)))),join(X_279,converse(complement(converse(complement(X_279)))))) ),[0],$fot(join(converse(complement(converse(complement(X_279)))),X_279))]]) ).
cnf(refute_0_1744,plain,
( converse(complement(converse(complement(X_279)))) != join(converse(complement(converse(complement(X_279)))),X_279)
| converse(complement(converse(complement(X_279)))) = join(X_279,converse(complement(converse(complement(X_279))))) ),
inference(resolve,[$cnf( $equal(join(converse(complement(converse(complement(X_279)))),X_279),join(X_279,converse(complement(converse(complement(X_279)))))) )],[refute_0_1742,refute_0_1743]) ).
cnf(refute_0_1745,plain,
converse(complement(converse(complement(X_279)))) = join(X_279,converse(complement(converse(complement(X_279))))),
inference(resolve,[$cnf( $equal(converse(complement(converse(complement(X_279)))),join(converse(complement(converse(complement(X_279)))),X_279)) )],[refute_0_1430,refute_0_1744]) ).
cnf(refute_0_1746,plain,
( converse(complement(converse(complement(X_279)))) != join(X_279,converse(complement(converse(complement(X_279)))))
| join(X_279,converse(complement(converse(complement(X_279))))) = converse(complement(converse(complement(X_279)))) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(converse(complement(converse(complement(X_279)))))),bind(Y,$fot(join(X_279,converse(complement(converse(complement(X_279)))))))]]) ).
cnf(refute_0_1747,plain,
join(X_279,converse(complement(converse(complement(X_279))))) = converse(complement(converse(complement(X_279)))),
inference(resolve,[$cnf( $equal(converse(complement(converse(complement(X_279)))),join(X_279,converse(complement(converse(complement(X_279)))))) )],[refute_0_1745,refute_0_1746]) ).
cnf(refute_0_1748,plain,
join(X0,converse(complement(converse(complement(X0))))) = converse(complement(converse(complement(X0)))),
inference(subst,[],[refute_0_1747:[bind(X_279,$fot(X0))]]) ).
cnf(refute_0_1749,plain,
complement(converse(converse(X0))) = complement(converse(converse(X0))),
introduced(tautology,[refl,[$fot(complement(converse(converse(X0))))]]) ).
cnf(refute_0_1750,plain,
( complement(converse(converse(X0))) != complement(converse(converse(X0)))
| converse(converse(X0)) != X0
| complement(converse(converse(X0))) = complement(X0) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(converse(X0))),complement(converse(converse(X0)))) ),[1,0],$fot(X0)]]) ).
cnf(refute_0_1751,plain,
( converse(converse(X0)) != X0
| complement(converse(converse(X0))) = complement(X0) ),
inference(resolve,[$cnf( $equal(complement(converse(converse(X0))),complement(converse(converse(X0)))) )],[refute_0_1749,refute_0_1750]) ).
cnf(refute_0_1752,plain,
complement(converse(converse(X0))) = complement(X0),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_0_52,refute_0_1751]) ).
cnf(refute_0_1753,plain,
converse(complement(converse(converse(X0)))) = converse(complement(converse(converse(X0)))),
introduced(tautology,[refl,[$fot(converse(complement(converse(converse(X0)))))]]) ).
cnf(refute_0_1754,plain,
( complement(converse(converse(X0))) != complement(X0)
| converse(complement(converse(converse(X0)))) != converse(complement(converse(converse(X0))))
| converse(complement(converse(converse(X0)))) = converse(complement(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(converse(X0)))),converse(complement(converse(converse(X0))))) ),[1,0],$fot(complement(X0))]]) ).
cnf(refute_0_1755,plain,
( complement(converse(converse(X0))) != complement(X0)
| converse(complement(converse(converse(X0)))) = converse(complement(X0)) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(converse(X0)))),converse(complement(converse(converse(X0))))) )],[refute_0_1753,refute_0_1754]) ).
cnf(refute_0_1756,plain,
converse(complement(converse(converse(X0)))) = converse(complement(X0)),
inference(resolve,[$cnf( $equal(complement(converse(converse(X0))),complement(X0)) )],[refute_0_1752,refute_0_1755]) ).
cnf(refute_0_1757,plain,
complement(converse(complement(converse(converse(X0))))) = complement(converse(complement(converse(converse(X0))))),
introduced(tautology,[refl,[$fot(complement(converse(complement(converse(converse(X0))))))]]) ).
cnf(refute_0_1758,plain,
( complement(converse(complement(converse(converse(X0))))) != complement(converse(complement(converse(converse(X0)))))
| converse(complement(converse(converse(X0)))) != converse(complement(X0))
| complement(converse(complement(converse(converse(X0))))) = complement(converse(complement(X0))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(complement(converse(converse(X0))))),complement(converse(complement(converse(converse(X0)))))) ),[1,0],$fot(converse(complement(X0)))]]) ).
cnf(refute_0_1759,plain,
( converse(complement(converse(converse(X0)))) != converse(complement(X0))
| complement(converse(complement(converse(converse(X0))))) = complement(converse(complement(X0))) ),
inference(resolve,[$cnf( $equal(complement(converse(complement(converse(converse(X0))))),complement(converse(complement(converse(converse(X0)))))) )],[refute_0_1757,refute_0_1758]) ).
cnf(refute_0_1760,plain,
complement(converse(complement(converse(converse(X0))))) = complement(converse(complement(X0))),
inference(resolve,[$cnf( $equal(converse(complement(converse(converse(X0)))),converse(complement(X0))) )],[refute_0_1756,refute_0_1759]) ).
cnf(refute_0_1761,plain,
converse(complement(converse(complement(converse(converse(X0)))))) = converse(complement(converse(complement(converse(converse(X0)))))),
introduced(tautology,[refl,[$fot(converse(complement(converse(complement(converse(converse(X0)))))))]]) ).
cnf(refute_0_1762,plain,
( complement(converse(complement(converse(converse(X0))))) != complement(converse(complement(X0)))
| converse(complement(converse(complement(converse(converse(X0)))))) != converse(complement(converse(complement(converse(converse(X0))))))
| converse(complement(converse(complement(converse(converse(X0)))))) = converse(complement(converse(complement(X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(complement(converse(converse(X0)))))),converse(complement(converse(complement(converse(converse(X0))))))) ),[1,0],$fot(complement(converse(complement(X0))))]]) ).
cnf(refute_0_1763,plain,
( complement(converse(complement(converse(converse(X0))))) != complement(converse(complement(X0)))
| converse(complement(converse(complement(converse(converse(X0)))))) = converse(complement(converse(complement(X0)))) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(complement(converse(converse(X0)))))),converse(complement(converse(complement(converse(converse(X0))))))) )],[refute_0_1761,refute_0_1762]) ).
cnf(refute_0_1764,plain,
converse(complement(converse(complement(converse(converse(X0)))))) = converse(complement(converse(complement(X0)))),
inference(resolve,[$cnf( $equal(complement(converse(complement(converse(converse(X0))))),complement(converse(complement(X0)))) )],[refute_0_1760,refute_0_1763]) ).
cnf(refute_0_1765,plain,
join(X0,converse(complement(converse(complement(converse(converse(X0))))))) = join(X0,converse(complement(converse(complement(converse(converse(X0))))))),
introduced(tautology,[refl,[$fot(join(X0,converse(complement(converse(complement(converse(converse(X0))))))))]]) ).
cnf(refute_0_1766,plain,
( converse(complement(converse(complement(converse(converse(X0)))))) != converse(complement(converse(complement(X0))))
| join(X0,converse(complement(converse(complement(converse(converse(X0))))))) != join(X0,converse(complement(converse(complement(converse(converse(X0)))))))
| join(X0,converse(complement(converse(complement(converse(converse(X0))))))) = join(X0,converse(complement(converse(complement(X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X0,converse(complement(converse(complement(converse(converse(X0))))))),join(X0,converse(complement(converse(complement(converse(converse(X0)))))))) ),[1,1],$fot(converse(complement(converse(complement(X0)))))]]) ).
cnf(refute_0_1767,plain,
( converse(complement(converse(complement(converse(converse(X0)))))) != converse(complement(converse(complement(X0))))
| join(X0,converse(complement(converse(complement(converse(converse(X0))))))) = join(X0,converse(complement(converse(complement(X0))))) ),
inference(resolve,[$cnf( $equal(join(X0,converse(complement(converse(complement(converse(converse(X0))))))),join(X0,converse(complement(converse(complement(converse(converse(X0)))))))) )],[refute_0_1765,refute_0_1766]) ).
cnf(refute_0_1768,plain,
join(X0,converse(complement(converse(complement(converse(converse(X0))))))) = join(X0,converse(complement(converse(complement(X0))))),
inference(resolve,[$cnf( $equal(converse(complement(converse(complement(converse(converse(X0)))))),converse(complement(converse(complement(X0))))) )],[refute_0_1764,refute_0_1767]) ).
cnf(refute_0_1769,plain,
( join(X0,converse(complement(converse(complement(X0))))) != converse(complement(converse(complement(X0))))
| join(X0,converse(complement(converse(complement(converse(converse(X0))))))) != join(X0,converse(complement(converse(complement(X0)))))
| join(X0,converse(complement(converse(complement(converse(converse(X0))))))) = converse(complement(converse(complement(X0)))) ),
inference(subst,[],[refute_0_25:[bind(X,$fot(join(X0,converse(complement(converse(complement(converse(converse(X0))))))))),bind(Y,$fot(join(X0,converse(complement(converse(complement(X0))))))),bind(Z,$fot(converse(complement(converse(complement(X0))))))]]) ).
cnf(refute_0_1770,plain,
( join(X0,converse(complement(converse(complement(X0))))) != converse(complement(converse(complement(X0))))
| join(X0,converse(complement(converse(complement(converse(converse(X0))))))) = converse(complement(converse(complement(X0)))) ),
inference(resolve,[$cnf( $equal(join(X0,converse(complement(converse(complement(converse(converse(X0))))))),join(X0,converse(complement(converse(complement(X0)))))) )],[refute_0_1768,refute_0_1769]) ).
cnf(refute_0_1771,plain,
join(X0,converse(complement(converse(complement(converse(converse(X0))))))) = converse(complement(converse(complement(X0)))),
inference(resolve,[$cnf( $equal(join(X0,converse(complement(converse(complement(X0))))),converse(complement(converse(complement(X0))))) )],[refute_0_1748,refute_0_1770]) ).
cnf(refute_0_1772,plain,
( X0 != join(X0,converse(complement(converse(complement(converse(converse(X0)))))))
| join(X0,converse(complement(converse(complement(converse(converse(X0))))))) != converse(complement(converse(complement(X0))))
| X0 = converse(complement(converse(complement(X0)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X0,converse(complement(converse(complement(X0))))) ),[0],$fot(join(X0,converse(complement(converse(complement(converse(converse(X0))))))))]]) ).
cnf(refute_0_1773,plain,
( X0 != join(X0,converse(complement(converse(complement(converse(converse(X0)))))))
| X0 = converse(complement(converse(complement(X0)))) ),
inference(resolve,[$cnf( $equal(join(X0,converse(complement(converse(complement(converse(converse(X0))))))),converse(complement(converse(complement(X0))))) )],[refute_0_1771,refute_0_1772]) ).
cnf(refute_0_1774,plain,
( converse(converse(X0)) != join(X0,converse(complement(converse(complement(converse(converse(X0)))))))
| X0 = converse(complement(converse(complement(X0)))) ),
inference(resolve,[$cnf( $equal(X0,join(X0,converse(complement(converse(complement(converse(converse(X0)))))))) )],[refute_0_1346,refute_0_1773]) ).
cnf(refute_0_1775,plain,
X0 = converse(complement(converse(complement(X0)))),
inference(resolve,[$cnf( $equal(converse(converse(X0)),join(X0,converse(complement(converse(complement(converse(converse(X0)))))))) )],[refute_0_1344,refute_0_1774]) ).
cnf(refute_0_1776,plain,
X_303 = converse(complement(converse(complement(X_303)))),
inference(subst,[],[refute_0_1775:[bind(X0,$fot(X_303))]]) ).
cnf(refute_0_1777,plain,
( X_303 != converse(complement(converse(complement(X_303))))
| converse(complement(converse(complement(X_303)))) = X_303 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(X_303)),bind(Y,$fot(converse(complement(converse(complement(X_303))))))]]) ).
cnf(refute_0_1778,plain,
converse(complement(converse(complement(X_303)))) = X_303,
inference(resolve,[$cnf( $equal(X_303,converse(complement(converse(complement(X_303))))) )],[refute_0_1776,refute_0_1777]) ).
cnf(refute_0_1779,plain,
( converse(complement(converse(complement(X_303)))) != X_303
| converse(converse(complement(converse(complement(X_303))))) != complement(converse(complement(X_303)))
| converse(X_303) = complement(converse(complement(X_303))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(complement(converse(complement(X_303))))),complement(converse(complement(X_303)))) ),[0,0],$fot(X_303)]]) ).
cnf(refute_0_1780,plain,
( converse(converse(complement(converse(complement(X_303))))) != complement(converse(complement(X_303)))
| converse(X_303) = complement(converse(complement(X_303))) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(complement(X_303)))),X_303) )],[refute_0_1778,refute_0_1779]) ).
cnf(refute_0_1781,plain,
converse(X_303) = complement(converse(complement(X_303))),
inference(resolve,[$cnf( $equal(converse(converse(complement(converse(complement(X_303))))),complement(converse(complement(X_303)))) )],[refute_0_847,refute_0_1780]) ).
cnf(refute_0_1782,plain,
converse(X_310) = complement(converse(complement(X_310))),
inference(subst,[],[refute_0_1781:[bind(X_303,$fot(X_310))]]) ).
cnf(refute_0_1783,plain,
( converse(X_310) != complement(converse(complement(X_310)))
| complement(converse(complement(X_310))) = converse(X_310) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(converse(X_310))),bind(Y,$fot(complement(converse(complement(X_310)))))]]) ).
cnf(refute_0_1784,plain,
complement(converse(complement(X_310))) = converse(X_310),
inference(resolve,[$cnf( $equal(converse(X_310),complement(converse(complement(X_310)))) )],[refute_0_1782,refute_0_1783]) ).
cnf(refute_0_1785,plain,
( complement(converse(complement(X_310))) != converse(X_310)
| converse(complement(X_310)) != complement(complement(converse(complement(X_310))))
| converse(complement(X_310)) = complement(converse(X_310)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(X_310)),complement(complement(converse(complement(X_310))))) ),[1,0],$fot(converse(X_310))]]) ).
cnf(refute_0_1786,plain,
( converse(complement(X_310)) != complement(complement(converse(complement(X_310))))
| converse(complement(X_310)) = complement(converse(X_310)) ),
inference(resolve,[$cnf( $equal(complement(converse(complement(X_310))),converse(X_310)) )],[refute_0_1784,refute_0_1785]) ).
cnf(refute_0_1787,plain,
converse(complement(X_310)) = complement(converse(X_310)),
inference(resolve,[$cnf( $equal(converse(complement(X_310)),complement(complement(converse(complement(X_310))))) )],[refute_0_846,refute_0_1786]) ).
cnf(refute_0_1788,plain,
converse(complement(meet(X_541,complement(X_540)))) = complement(converse(meet(X_541,complement(X_540)))),
inference(subst,[],[refute_0_1787:[bind(X_310,$fot(meet(X_541,complement(X_540))))]]) ).
cnf(refute_0_1789,plain,
join(complement(X_296),complement(complement(X0))) = complement(meet(X_296,complement(X0))),
inference(subst,[],[refute_0_248:[bind(X_39,$fot(X_296)),bind(X_40,$fot(complement(X0)))]]) ).
cnf(refute_0_1790,plain,
( complement(complement(X0)) != X0
| join(complement(X_296),complement(complement(X0))) != complement(meet(X_296,complement(X0)))
| join(complement(X_296),X0) = complement(meet(X_296,complement(X0))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_296),complement(complement(X0))),complement(meet(X_296,complement(X0)))) ),[0,1],$fot(X0)]]) ).
cnf(refute_0_1791,plain,
( join(complement(X_296),complement(complement(X0))) != complement(meet(X_296,complement(X0)))
| join(complement(X_296),X0) = complement(meet(X_296,complement(X0))) ),
inference(resolve,[$cnf( $equal(complement(complement(X0)),X0) )],[refute_0_944,refute_0_1790]) ).
cnf(refute_0_1792,plain,
join(complement(X_296),X0) = complement(meet(X_296,complement(X0))),
inference(resolve,[$cnf( $equal(join(complement(X_296),complement(complement(X0))),complement(meet(X_296,complement(X0)))) )],[refute_0_1789,refute_0_1791]) ).
cnf(refute_0_1793,plain,
join(complement(X_541),X_540) = complement(meet(X_541,complement(X_540))),
inference(subst,[],[refute_0_1792:[bind(X0,$fot(X_540)),bind(X_296,$fot(X_541))]]) ).
cnf(refute_0_1794,plain,
( join(complement(X_541),X_540) != complement(meet(X_541,complement(X_540)))
| complement(meet(X_541,complement(X_540))) = join(complement(X_541),X_540) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(complement(X_541),X_540))),bind(Y,$fot(complement(meet(X_541,complement(X_540)))))]]) ).
cnf(refute_0_1795,plain,
complement(meet(X_541,complement(X_540))) = join(complement(X_541),X_540),
inference(resolve,[$cnf( $equal(join(complement(X_541),X_540),complement(meet(X_541,complement(X_540)))) )],[refute_0_1793,refute_0_1794]) ).
cnf(refute_0_1796,plain,
( complement(meet(X_541,complement(X_540))) != join(complement(X_541),X_540)
| converse(complement(meet(X_541,complement(X_540)))) != complement(converse(meet(X_541,complement(X_540))))
| converse(join(complement(X_541),X_540)) = complement(converse(meet(X_541,complement(X_540)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(meet(X_541,complement(X_540)))),complement(converse(meet(X_541,complement(X_540))))) ),[0,0],$fot(join(complement(X_541),X_540))]]) ).
cnf(refute_0_1797,plain,
( converse(complement(meet(X_541,complement(X_540)))) != complement(converse(meet(X_541,complement(X_540))))
| converse(join(complement(X_541),X_540)) = complement(converse(meet(X_541,complement(X_540)))) ),
inference(resolve,[$cnf( $equal(complement(meet(X_541,complement(X_540))),join(complement(X_541),X_540)) )],[refute_0_1795,refute_0_1796]) ).
cnf(refute_0_1798,plain,
converse(join(complement(X_541),X_540)) = complement(converse(meet(X_541,complement(X_540)))),
inference(resolve,[$cnf( $equal(converse(complement(meet(X_541,complement(X_540)))),complement(converse(meet(X_541,complement(X_540))))) )],[refute_0_1788,refute_0_1797]) ).
cnf(refute_0_1799,plain,
converse(join(complement(converse(X0)),composition(X1,complement(converse(composition(X0,X1)))))) = complement(converse(meet(converse(X0),complement(composition(X1,complement(converse(composition(X0,X1)))))))),
inference(subst,[],[refute_0_1798:[bind(X_540,$fot(composition(X1,complement(converse(composition(X0,X1)))))),bind(X_541,$fot(converse(X0)))]]) ).
cnf(refute_0_1800,plain,
join(complement(converse(X0)),composition(converse(converse(X1)),complement(composition(converse(X1),converse(X0))))) = complement(converse(X0)),
inference(subst,[],[refute_0_374:[bind(X0,$fot(converse(X1))),bind(X1,$fot(converse(X0)))]]) ).
cnf(refute_0_1801,plain,
( converse(composition(X0,X1)) != composition(converse(X1),converse(X0))
| composition(converse(X1),converse(X0)) = converse(composition(X0,X1)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(converse(composition(X0,X1)))),bind(Y,$fot(composition(converse(X1),converse(X0))))]]) ).
cnf(refute_0_1802,plain,
composition(converse(X1),converse(X0)) = converse(composition(X0,X1)),
inference(resolve,[$cnf( $equal(converse(composition(X0,X1)),composition(converse(X1),converse(X0))) )],[refute_0_50,refute_0_1801]) ).
cnf(refute_0_1803,plain,
( composition(converse(X1),converse(X0)) != converse(composition(X0,X1))
| join(complement(converse(X0)),composition(converse(converse(X1)),complement(composition(converse(X1),converse(X0))))) != complement(converse(X0))
| join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))) = complement(converse(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(X0)),composition(converse(converse(X1)),complement(composition(converse(X1),converse(X0))))),complement(converse(X0))) ),[0,1,1,0],$fot(converse(composition(X0,X1)))]]) ).
cnf(refute_0_1804,plain,
( join(complement(converse(X0)),composition(converse(converse(X1)),complement(composition(converse(X1),converse(X0))))) != complement(converse(X0))
| join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))) = complement(converse(X0)) ),
inference(resolve,[$cnf( $equal(composition(converse(X1),converse(X0)),converse(composition(X0,X1))) )],[refute_0_1802,refute_0_1803]) ).
cnf(refute_0_1805,plain,
join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))) = complement(converse(X0)),
inference(resolve,[$cnf( $equal(join(complement(converse(X0)),composition(converse(converse(X1)),complement(composition(converse(X1),converse(X0))))),complement(converse(X0))) )],[refute_0_1800,refute_0_1804]) ).
cnf(refute_0_1806,plain,
converse(converse(X1)) = X1,
inference(subst,[],[refute_0_52:[bind(X0,$fot(X1))]]) ).
cnf(refute_0_1807,plain,
composition(converse(converse(X1)),complement(converse(composition(X0,X1)))) = composition(converse(converse(X1)),complement(converse(composition(X0,X1)))),
introduced(tautology,[refl,[$fot(composition(converse(converse(X1)),complement(converse(composition(X0,X1)))))]]) ).
cnf(refute_0_1808,plain,
( composition(converse(converse(X1)),complement(converse(composition(X0,X1)))) != composition(converse(converse(X1)),complement(converse(composition(X0,X1))))
| converse(converse(X1)) != X1
| composition(converse(converse(X1)),complement(converse(composition(X0,X1)))) = composition(X1,complement(converse(composition(X0,X1)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(converse(X1)),complement(converse(composition(X0,X1)))),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))) ),[1,0],$fot(X1)]]) ).
cnf(refute_0_1809,plain,
( converse(converse(X1)) != X1
| composition(converse(converse(X1)),complement(converse(composition(X0,X1)))) = composition(X1,complement(converse(composition(X0,X1)))) ),
inference(resolve,[$cnf( $equal(composition(converse(converse(X1)),complement(converse(composition(X0,X1)))),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))) )],[refute_0_1807,refute_0_1808]) ).
cnf(refute_0_1810,plain,
composition(converse(converse(X1)),complement(converse(composition(X0,X1)))) = composition(X1,complement(converse(composition(X0,X1)))),
inference(resolve,[$cnf( $equal(converse(converse(X1)),X1) )],[refute_0_1806,refute_0_1809]) ).
cnf(refute_0_1811,plain,
join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))) = join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))),
introduced(tautology,[refl,[$fot(join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))))]]) ).
cnf(refute_0_1812,plain,
( composition(converse(converse(X1)),complement(converse(composition(X0,X1)))) != composition(X1,complement(converse(composition(X0,X1))))
| join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))) != join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1)))))
| join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))) = join(complement(converse(X0)),composition(X1,complement(converse(composition(X0,X1))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))),join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1)))))) ),[1,1],$fot(composition(X1,complement(converse(composition(X0,X1)))))]]) ).
cnf(refute_0_1813,plain,
( composition(converse(converse(X1)),complement(converse(composition(X0,X1)))) != composition(X1,complement(converse(composition(X0,X1))))
| join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))) = join(complement(converse(X0)),composition(X1,complement(converse(composition(X0,X1))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))),join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1)))))) )],[refute_0_1811,refute_0_1812]) ).
cnf(refute_0_1814,plain,
join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))) = join(complement(converse(X0)),composition(X1,complement(converse(composition(X0,X1))))),
inference(resolve,[$cnf( $equal(composition(converse(converse(X1)),complement(converse(composition(X0,X1)))),composition(X1,complement(converse(composition(X0,X1))))) )],[refute_0_1810,refute_0_1813]) ).
cnf(refute_0_1815,plain,
( join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))) != complement(converse(X0))
| join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))) != join(complement(converse(X0)),composition(X1,complement(converse(composition(X0,X1)))))
| join(complement(converse(X0)),composition(X1,complement(converse(composition(X0,X1))))) = complement(converse(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))),complement(converse(X0))) ),[0],$fot(join(complement(converse(X0)),composition(X1,complement(converse(composition(X0,X1))))))]]) ).
cnf(refute_0_1816,plain,
( join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))) != complement(converse(X0))
| join(complement(converse(X0)),composition(X1,complement(converse(composition(X0,X1))))) = complement(converse(X0)) ),
inference(resolve,[$cnf( $equal(join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))),join(complement(converse(X0)),composition(X1,complement(converse(composition(X0,X1)))))) )],[refute_0_1814,refute_0_1815]) ).
cnf(refute_0_1817,plain,
join(complement(converse(X0)),composition(X1,complement(converse(composition(X0,X1))))) = complement(converse(X0)),
inference(resolve,[$cnf( $equal(join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))),complement(converse(X0))) )],[refute_0_1805,refute_0_1816]) ).
cnf(refute_0_1818,plain,
( converse(join(complement(converse(X0)),composition(X1,complement(converse(composition(X0,X1)))))) != complement(converse(meet(converse(X0),complement(composition(X1,complement(converse(composition(X0,X1))))))))
| join(complement(converse(X0)),composition(X1,complement(converse(composition(X0,X1))))) != complement(converse(X0))
| converse(complement(converse(X0))) = complement(converse(meet(converse(X0),complement(composition(X1,complement(converse(composition(X0,X1)))))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(complement(converse(X0)),composition(X1,complement(converse(composition(X0,X1)))))),complement(converse(meet(converse(X0),complement(composition(X1,complement(converse(composition(X0,X1))))))))) ),[0,0],$fot(complement(converse(X0)))]]) ).
cnf(refute_0_1819,plain,
( converse(join(complement(converse(X0)),composition(X1,complement(converse(composition(X0,X1)))))) != complement(converse(meet(converse(X0),complement(composition(X1,complement(converse(composition(X0,X1))))))))
| converse(complement(converse(X0))) = complement(converse(meet(converse(X0),complement(composition(X1,complement(converse(composition(X0,X1)))))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(X0)),composition(X1,complement(converse(composition(X0,X1))))),complement(converse(X0))) )],[refute_0_1817,refute_0_1818]) ).
cnf(refute_0_1820,plain,
converse(complement(converse(X0))) = complement(converse(meet(converse(X0),complement(composition(X1,complement(converse(composition(X0,X1)))))))),
inference(resolve,[$cnf( $equal(converse(join(complement(converse(X0)),composition(X1,complement(converse(composition(X0,X1)))))),complement(converse(meet(converse(X0),complement(composition(X1,complement(converse(composition(X0,X1))))))))) )],[refute_0_1799,refute_0_1819]) ).
cnf(refute_0_1821,plain,
converse(complement(converse(X0))) = complement(converse(converse(X0))),
inference(subst,[],[refute_0_1787:[bind(X_310,$fot(converse(X0)))]]) ).
cnf(refute_0_1822,plain,
( complement(converse(converse(X0))) != complement(X0)
| converse(complement(converse(X0))) != complement(converse(converse(X0)))
| converse(complement(converse(X0))) = complement(X0) ),
inference(subst,[],[refute_0_25:[bind(X,$fot(converse(complement(converse(X0))))),bind(Y,$fot(complement(converse(converse(X0))))),bind(Z,$fot(complement(X0)))]]) ).
cnf(refute_0_1823,plain,
( complement(converse(converse(X0))) != complement(X0)
| converse(complement(converse(X0))) = complement(X0) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(X0))),complement(converse(converse(X0)))) )],[refute_0_1821,refute_0_1822]) ).
cnf(refute_0_1824,plain,
converse(complement(converse(X0))) = complement(X0),
inference(resolve,[$cnf( $equal(complement(converse(converse(X0))),complement(X0)) )],[refute_0_1752,refute_0_1823]) ).
cnf(refute_0_1825,plain,
( converse(complement(converse(X0))) != complement(X0)
| converse(complement(converse(X0))) != complement(converse(meet(converse(X0),complement(composition(X1,complement(converse(composition(X0,X1))))))))
| complement(X0) = complement(converse(meet(converse(X0),complement(composition(X1,complement(converse(composition(X0,X1)))))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(X0))),complement(converse(meet(converse(X0),complement(composition(X1,complement(converse(composition(X0,X1))))))))) ),[0],$fot(complement(X0))]]) ).
cnf(refute_0_1826,plain,
( converse(complement(converse(X0))) != complement(converse(meet(converse(X0),complement(composition(X1,complement(converse(composition(X0,X1))))))))
| complement(X0) = complement(converse(meet(converse(X0),complement(composition(X1,complement(converse(composition(X0,X1)))))))) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(X0))),complement(X0)) )],[refute_0_1824,refute_0_1825]) ).
cnf(refute_0_1827,plain,
converse(composition(X_4,converse(X0))) = composition(converse(converse(X0)),converse(X_4)),
inference(subst,[],[refute_0_50:[bind(X0,$fot(X_4)),bind(X1,$fot(converse(X0)))]]) ).
cnf(refute_0_1828,plain,
( converse(composition(X_4,converse(X0))) != composition(converse(converse(X0)),converse(X_4))
| converse(converse(X0)) != X0
| converse(composition(X_4,converse(X0))) = composition(X0,converse(X_4)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(X_4,converse(X0))),composition(converse(converse(X0)),converse(X_4))) ),[1,0],$fot(X0)]]) ).
cnf(refute_0_1829,plain,
( converse(composition(X_4,converse(X0))) != composition(converse(converse(X0)),converse(X_4))
| converse(composition(X_4,converse(X0))) = composition(X0,converse(X_4)) ),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_0_52,refute_0_1828]) ).
cnf(refute_0_1830,plain,
converse(composition(X_4,converse(X0))) = composition(X0,converse(X_4)),
inference(resolve,[$cnf( $equal(converse(composition(X_4,converse(X0))),composition(converse(converse(X0)),converse(X_4))) )],[refute_0_1827,refute_0_1829]) ).
cnf(refute_0_1831,plain,
converse(composition(X_4,converse(complement(X_315)))) = composition(complement(X_315),converse(X_4)),
inference(subst,[],[refute_0_1830:[bind(X0,$fot(complement(X_315)))]]) ).
cnf(refute_0_1832,plain,
converse(complement(X_315)) = complement(converse(X_315)),
inference(subst,[],[refute_0_1787:[bind(X_310,$fot(X_315))]]) ).
cnf(refute_0_1833,plain,
( converse(complement(X_315)) != complement(converse(X_315))
| converse(composition(X_4,converse(complement(X_315)))) != composition(complement(X_315),converse(X_4))
| converse(composition(X_4,complement(converse(X_315)))) = composition(complement(X_315),converse(X_4)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(X_4,converse(complement(X_315)))),composition(complement(X_315),converse(X_4))) ),[0,0,1],$fot(complement(converse(X_315)))]]) ).
cnf(refute_0_1834,plain,
( converse(composition(X_4,converse(complement(X_315)))) != composition(complement(X_315),converse(X_4))
| converse(composition(X_4,complement(converse(X_315)))) = composition(complement(X_315),converse(X_4)) ),
inference(resolve,[$cnf( $equal(converse(complement(X_315)),complement(converse(X_315))) )],[refute_0_1832,refute_0_1833]) ).
cnf(refute_0_1835,plain,
converse(composition(X_4,complement(converse(X_315)))) = composition(complement(X_315),converse(X_4)),
inference(resolve,[$cnf( $equal(converse(composition(X_4,converse(complement(X_315)))),composition(complement(X_315),converse(X_4))) )],[refute_0_1831,refute_0_1834]) ).
cnf(refute_0_1836,plain,
converse(composition(X1,complement(converse(composition(X0,X1))))) = composition(complement(composition(X0,X1)),converse(X1)),
inference(subst,[],[refute_0_1835:[bind(X_315,$fot(composition(X0,X1))),bind(X_4,$fot(X1))]]) ).
cnf(refute_0_1837,plain,
join(complement(X0),converse(composition(X1,complement(converse(composition(X0,X1)))))) = join(complement(X0),converse(composition(X1,complement(converse(composition(X0,X1)))))),
introduced(tautology,[refl,[$fot(join(complement(X0),converse(composition(X1,complement(converse(composition(X0,X1)))))))]]) ).
cnf(refute_0_1838,plain,
( converse(composition(X1,complement(converse(composition(X0,X1))))) != composition(complement(composition(X0,X1)),converse(X1))
| join(complement(X0),converse(composition(X1,complement(converse(composition(X0,X1)))))) != join(complement(X0),converse(composition(X1,complement(converse(composition(X0,X1))))))
| join(complement(X0),converse(composition(X1,complement(converse(composition(X0,X1)))))) = join(complement(X0),composition(complement(composition(X0,X1)),converse(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X0),converse(composition(X1,complement(converse(composition(X0,X1)))))),join(complement(X0),converse(composition(X1,complement(converse(composition(X0,X1))))))) ),[1,1],$fot(composition(complement(composition(X0,X1)),converse(X1)))]]) ).
cnf(refute_0_1839,plain,
( converse(composition(X1,complement(converse(composition(X0,X1))))) != composition(complement(composition(X0,X1)),converse(X1))
| join(complement(X0),converse(composition(X1,complement(converse(composition(X0,X1)))))) = join(complement(X0),composition(complement(composition(X0,X1)),converse(X1))) ),
inference(resolve,[$cnf( $equal(join(complement(X0),converse(composition(X1,complement(converse(composition(X0,X1)))))),join(complement(X0),converse(composition(X1,complement(converse(composition(X0,X1))))))) )],[refute_0_1837,refute_0_1838]) ).
cnf(refute_0_1840,plain,
join(complement(X0),converse(composition(X1,complement(converse(composition(X0,X1)))))) = join(complement(X0),composition(complement(composition(X0,X1)),converse(X1))),
inference(resolve,[$cnf( $equal(converse(composition(X1,complement(converse(composition(X0,X1))))),composition(complement(composition(X0,X1)),converse(X1))) )],[refute_0_1836,refute_0_1839]) ).
cnf(refute_0_1841,plain,
converse(join(converse(complement(X_315)),X_21)) = join(complement(X_315),converse(X_21)),
inference(subst,[],[refute_0_851:[bind(X0,$fot(complement(X_315)))]]) ).
cnf(refute_0_1842,plain,
( converse(complement(X_315)) != complement(converse(X_315))
| converse(join(converse(complement(X_315)),X_21)) != join(complement(X_315),converse(X_21))
| converse(join(complement(converse(X_315)),X_21)) = join(complement(X_315),converse(X_21)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(complement(X_315)),X_21)),join(complement(X_315),converse(X_21))) ),[0,0,0],$fot(complement(converse(X_315)))]]) ).
cnf(refute_0_1843,plain,
( converse(join(converse(complement(X_315)),X_21)) != join(complement(X_315),converse(X_21))
| converse(join(complement(converse(X_315)),X_21)) = join(complement(X_315),converse(X_21)) ),
inference(resolve,[$cnf( $equal(converse(complement(X_315)),complement(converse(X_315))) )],[refute_0_1832,refute_0_1842]) ).
cnf(refute_0_1844,plain,
converse(join(complement(converse(X_315)),X_21)) = join(complement(X_315),converse(X_21)),
inference(resolve,[$cnf( $equal(converse(join(converse(complement(X_315)),X_21)),join(complement(X_315),converse(X_21))) )],[refute_0_1841,refute_0_1843]) ).
cnf(refute_0_1845,plain,
converse(join(complement(converse(X0)),composition(X1,complement(converse(composition(X0,X1)))))) = join(complement(X0),converse(composition(X1,complement(converse(composition(X0,X1)))))),
inference(subst,[],[refute_0_1844:[bind(X_21,$fot(composition(X1,complement(converse(composition(X0,X1)))))),bind(X_315,$fot(X0))]]) ).
cnf(refute_0_1846,plain,
( converse(join(complement(X_541),X_540)) != complement(converse(meet(X_541,complement(X_540))))
| complement(converse(meet(X_541,complement(X_540)))) = converse(join(complement(X_541),X_540)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(converse(join(complement(X_541),X_540)))),bind(Y,$fot(complement(converse(meet(X_541,complement(X_540))))))]]) ).
cnf(refute_0_1847,plain,
complement(converse(meet(X_541,complement(X_540)))) = converse(join(complement(X_541),X_540)),
inference(resolve,[$cnf( $equal(converse(join(complement(X_541),X_540)),complement(converse(meet(X_541,complement(X_540))))) )],[refute_0_1798,refute_0_1846]) ).
cnf(refute_0_1848,plain,
complement(converse(meet(converse(X0),complement(composition(X1,complement(converse(composition(X0,X1)))))))) = converse(join(complement(converse(X0)),composition(X1,complement(converse(composition(X0,X1)))))),
inference(subst,[],[refute_0_1847:[bind(X_540,$fot(composition(X1,complement(converse(composition(X0,X1)))))),bind(X_541,$fot(converse(X0)))]]) ).
cnf(refute_0_1849,plain,
( complement(converse(meet(converse(X0),complement(composition(X1,complement(converse(composition(X0,X1)))))))) != converse(join(complement(converse(X0)),composition(X1,complement(converse(composition(X0,X1))))))
| converse(join(complement(converse(X0)),composition(X1,complement(converse(composition(X0,X1)))))) != join(complement(X0),converse(composition(X1,complement(converse(composition(X0,X1))))))
| complement(converse(meet(converse(X0),complement(composition(X1,complement(converse(composition(X0,X1)))))))) = join(complement(X0),converse(composition(X1,complement(converse(composition(X0,X1)))))) ),
inference(subst,[],[refute_0_25:[bind(X,$fot(complement(converse(meet(converse(X0),complement(composition(X1,complement(converse(composition(X0,X1)))))))))),bind(Y,$fot(converse(join(complement(converse(X0)),composition(X1,complement(converse(composition(X0,X1)))))))),bind(Z,$fot(join(complement(X0),converse(composition(X1,complement(converse(composition(X0,X1))))))))]]) ).
cnf(refute_0_1850,plain,
( converse(join(complement(converse(X0)),composition(X1,complement(converse(composition(X0,X1)))))) != join(complement(X0),converse(composition(X1,complement(converse(composition(X0,X1))))))
| complement(converse(meet(converse(X0),complement(composition(X1,complement(converse(composition(X0,X1)))))))) = join(complement(X0),converse(composition(X1,complement(converse(composition(X0,X1)))))) ),
inference(resolve,[$cnf( $equal(complement(converse(meet(converse(X0),complement(composition(X1,complement(converse(composition(X0,X1)))))))),converse(join(complement(converse(X0)),composition(X1,complement(converse(composition(X0,X1))))))) )],[refute_0_1848,refute_0_1849]) ).
cnf(refute_0_1851,plain,
complement(converse(meet(converse(X0),complement(composition(X1,complement(converse(composition(X0,X1)))))))) = join(complement(X0),converse(composition(X1,complement(converse(composition(X0,X1)))))),
inference(resolve,[$cnf( $equal(converse(join(complement(converse(X0)),composition(X1,complement(converse(composition(X0,X1)))))),join(complement(X0),converse(composition(X1,complement(converse(composition(X0,X1))))))) )],[refute_0_1845,refute_0_1850]) ).
cnf(refute_0_1852,plain,
( complement(converse(meet(converse(X0),complement(composition(X1,complement(converse(composition(X0,X1)))))))) != join(complement(X0),converse(composition(X1,complement(converse(composition(X0,X1))))))
| join(complement(X0),converse(composition(X1,complement(converse(composition(X0,X1)))))) != join(complement(X0),composition(complement(composition(X0,X1)),converse(X1)))
| complement(converse(meet(converse(X0),complement(composition(X1,complement(converse(composition(X0,X1)))))))) = join(complement(X0),composition(complement(composition(X0,X1)),converse(X1))) ),
inference(subst,[],[refute_0_25:[bind(X,$fot(complement(converse(meet(converse(X0),complement(composition(X1,complement(converse(composition(X0,X1)))))))))),bind(Y,$fot(join(complement(X0),converse(composition(X1,complement(converse(composition(X0,X1)))))))),bind(Z,$fot(join(complement(X0),composition(complement(composition(X0,X1)),converse(X1)))))]]) ).
cnf(refute_0_1853,plain,
( join(complement(X0),converse(composition(X1,complement(converse(composition(X0,X1)))))) != join(complement(X0),composition(complement(composition(X0,X1)),converse(X1)))
| complement(converse(meet(converse(X0),complement(composition(X1,complement(converse(composition(X0,X1)))))))) = join(complement(X0),composition(complement(composition(X0,X1)),converse(X1))) ),
inference(resolve,[$cnf( $equal(complement(converse(meet(converse(X0),complement(composition(X1,complement(converse(composition(X0,X1)))))))),join(complement(X0),converse(composition(X1,complement(converse(composition(X0,X1))))))) )],[refute_0_1851,refute_0_1852]) ).
cnf(refute_0_1854,plain,
complement(converse(meet(converse(X0),complement(composition(X1,complement(converse(composition(X0,X1)))))))) = join(complement(X0),composition(complement(composition(X0,X1)),converse(X1))),
inference(resolve,[$cnf( $equal(join(complement(X0),converse(composition(X1,complement(converse(composition(X0,X1)))))),join(complement(X0),composition(complement(composition(X0,X1)),converse(X1)))) )],[refute_0_1840,refute_0_1853]) ).
cnf(refute_0_1855,plain,
( complement(X0) != complement(converse(meet(converse(X0),complement(composition(X1,complement(converse(composition(X0,X1))))))))
| complement(converse(meet(converse(X0),complement(composition(X1,complement(converse(composition(X0,X1)))))))) != join(complement(X0),composition(complement(composition(X0,X1)),converse(X1)))
| complement(X0) = join(complement(X0),composition(complement(composition(X0,X1)),converse(X1))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(X0),join(complement(X0),composition(complement(composition(X0,X1)),converse(X1)))) ),[0],$fot(complement(converse(meet(converse(X0),complement(composition(X1,complement(converse(composition(X0,X1)))))))))]]) ).
cnf(refute_0_1856,plain,
( complement(X0) != complement(converse(meet(converse(X0),complement(composition(X1,complement(converse(composition(X0,X1))))))))
| complement(X0) = join(complement(X0),composition(complement(composition(X0,X1)),converse(X1))) ),
inference(resolve,[$cnf( $equal(complement(converse(meet(converse(X0),complement(composition(X1,complement(converse(composition(X0,X1)))))))),join(complement(X0),composition(complement(composition(X0,X1)),converse(X1)))) )],[refute_0_1854,refute_0_1855]) ).
cnf(refute_0_1857,plain,
( converse(complement(converse(X0))) != complement(converse(meet(converse(X0),complement(composition(X1,complement(converse(composition(X0,X1))))))))
| complement(X0) = join(complement(X0),composition(complement(composition(X0,X1)),converse(X1))) ),
inference(resolve,[$cnf( $equal(complement(X0),complement(converse(meet(converse(X0),complement(composition(X1,complement(converse(composition(X0,X1))))))))) )],[refute_0_1826,refute_0_1856]) ).
cnf(refute_0_1858,plain,
complement(X0) = join(complement(X0),composition(complement(composition(X0,X1)),converse(X1))),
inference(resolve,[$cnf( $equal(converse(complement(converse(X0))),complement(converse(meet(converse(X0),complement(composition(X1,complement(converse(composition(X0,X1))))))))) )],[refute_0_1820,refute_0_1857]) ).
cnf(refute_0_1859,plain,
( complement(X0) != join(complement(X0),composition(complement(composition(X0,X1)),converse(X1)))
| join(complement(X0),composition(complement(composition(X0,X1)),converse(X1))) = complement(X0) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(complement(X0))),bind(Y,$fot(join(complement(X0),composition(complement(composition(X0,X1)),converse(X1)))))]]) ).
cnf(refute_0_1860,plain,
join(complement(X0),composition(complement(composition(X0,X1)),converse(X1))) = complement(X0),
inference(resolve,[$cnf( $equal(complement(X0),join(complement(X0),composition(complement(composition(X0,X1)),converse(X1)))) )],[refute_0_1858,refute_0_1859]) ).
cnf(refute_0_1861,plain,
join(complement(skolemFOFtoCNF_X0),composition(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),converse(skolemFOFtoCNF_X1))) = complement(skolemFOFtoCNF_X0),
inference(subst,[],[refute_0_1860:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X1,$fot(skolemFOFtoCNF_X1))]]) ).
cnf(refute_0_1862,plain,
( complement(skolemFOFtoCNF_X0) != complement(skolemFOFtoCNF_X0)
| join(complement(skolemFOFtoCNF_X0),composition(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),converse(skolemFOFtoCNF_X1))) != complement(skolemFOFtoCNF_X0)
| join(complement(skolemFOFtoCNF_X0),composition(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),converse(skolemFOFtoCNF_X1))) = complement(skolemFOFtoCNF_X0) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),composition(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),converse(skolemFOFtoCNF_X1))),complement(skolemFOFtoCNF_X0)) ),[0,0],$fot(complement(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_1863,plain,
( complement(skolemFOFtoCNF_X0) != complement(skolemFOFtoCNF_X0)
| join(complement(skolemFOFtoCNF_X0),composition(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),converse(skolemFOFtoCNF_X1))) = complement(skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),composition(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),converse(skolemFOFtoCNF_X1))),complement(skolemFOFtoCNF_X0)) )],[refute_0_1861,refute_0_1862]) ).
cnf(refute_0_1864,plain,
complement(skolemFOFtoCNF_X0) != complement(skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),composition(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),converse(skolemFOFtoCNF_X1))),complement(skolemFOFtoCNF_X0)) )],[refute_0_1863,refute_0_10]) ).
cnf(refute_0_1865,plain,
complement(skolemFOFtoCNF_X0) = complement(skolemFOFtoCNF_X0),
introduced(tautology,[refl,[$fot(complement(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_1866,plain,
$false,
inference(resolve,[$cnf( $equal(complement(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)) )],[refute_0_1865,refute_0_1864]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : REL012+2 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.12 % Command : metis --show proof --show saturation %s
% 0.13/0.33 % Computer : n011.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Fri Jul 8 09:36:09 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 64.62/64.80 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 64.62/64.80
% 64.62/64.80 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 64.86/65.03
%------------------------------------------------------------------------------