TSTP Solution File: REL024+2 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : REL024+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n003.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 19:43:57 EDT 2022
% Result : Timeout 293.45s 293.68s
% Output : None
% Verified :
% SZS Type : Refutation
% Derivation depth : 128
% Number of leaves : 288
% Syntax : Number of formulae : 1175 ( 604 unt; 0 def)
% Number of atoms : 1996 (1995 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 1648 ( 827 ~; 821 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-2 aty)
% Number of variables : 1711 ( 44 sgn 75 !; 3 ?)
% 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,X2] : join(composition(meet(X0,converse(X1)),meet(X1,X2)),composition(meet(X0,converse(X1)),X2)) = composition(meet(X0,converse(X1)),X2) ).
fof(subgoal_0,plain,
! [X0,X1,X2] : join(composition(meet(X0,converse(X1)),meet(X1,X2)),composition(meet(X0,converse(X1)),X2)) = composition(meet(X0,converse(X1)),X2),
inference(strip,[],[goals]) ).
fof(negate_0_0,plain,
~ ! [X0,X1,X2] : join(composition(meet(X0,converse(X1)),meet(X1,X2)),composition(meet(X0,converse(X1)),X2)) = composition(meet(X0,converse(X1)),X2),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [X0,X1,X2] : join(composition(meet(X0,converse(X1)),meet(X1,X2)),composition(meet(X0,converse(X1)),X2)) != composition(meet(X0,converse(X1)),X2),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
join(composition(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2)),composition(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X2)) != composition(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X2),
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] : top = join(X0,complement(X0)),
inference(canonicalize,[],[def_top]) ).
fof(normalize_0_9,plain,
! [X0] : top = join(X0,complement(X0)),
inference(specialize,[],[normalize_0_8]) ).
fof(normalize_0_10,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(canonicalize,[],[maddux2_join_associativity]) ).
fof(normalize_0_11,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(specialize,[],[normalize_0_10]) ).
fof(normalize_0_12,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(canonicalize,[],[def_zero]) ).
fof(normalize_0_13,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(specialize,[],[normalize_0_12]) ).
fof(normalize_0_14,plain,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
inference(canonicalize,[],[converse_cancellativity]) ).
fof(normalize_0_15,plain,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
inference(specialize,[],[normalize_0_14]) ).
fof(normalize_0_16,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(canonicalize,[],[converse_multiplicativity]) ).
fof(normalize_0_17,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(specialize,[],[normalize_0_16]) ).
fof(normalize_0_18,plain,
! [X0] : converse(converse(X0)) = X0,
inference(canonicalize,[],[converse_idempotence]) ).
fof(normalize_0_19,plain,
! [X0] : converse(converse(X0)) = X0,
inference(specialize,[],[normalize_0_18]) ).
fof(normalize_0_20,plain,
! [X0] : composition(X0,one) = X0,
inference(canonicalize,[],[composition_identity]) ).
fof(normalize_0_21,plain,
! [X0] : composition(X0,one) = X0,
inference(specialize,[],[normalize_0_20]) ).
fof(normalize_0_22,plain,
! [X0,X1] : 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] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(canonicalize,[],[composition_distributivity]) ).
fof(normalize_0_25,plain,
! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(specialize,[],[normalize_0_24]) ).
cnf(refute_0_0,plain,
join(composition(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2)),composition(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X2)) != composition(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X2),
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( $equal(join(X0,X1),join(X1,X0)) )],[refute_0_1,refute_0_5]) ).
cnf(refute_0_7,plain,
join(composition(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2)),composition(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X2)) = join(composition(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X2),composition(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2))),
inference(subst,[],[refute_0_6:[bind(X0,$fot(composition(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X2))),bind(X1,$fot(composition(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2))))]]) ).
cnf(refute_0_8,plain,
( join(composition(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2)),composition(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X2)) != join(composition(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X2),composition(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2)))
| join(composition(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X2),composition(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2))) != composition(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X2)
| join(composition(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2)),composition(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X2)) = composition(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X2) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(composition(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2)),composition(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X2)),composition(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X2)) ),[0],$fot(join(composition(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X2),composition(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2))))]]) ).
cnf(refute_0_9,plain,
( join(composition(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X2),composition(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2))) != composition(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X2)
| join(composition(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2)),composition(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X2)) = composition(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X2) ),
inference(resolve,[$cnf( $equal(join(composition(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2)),composition(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X2)),join(composition(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X2),composition(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2)))) )],[refute_0_7,refute_0_8]) ).
cnf(refute_0_10,plain,
join(composition(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X2),composition(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2))) != composition(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X2),
inference(resolve,[$cnf( $equal(join(composition(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2)),composition(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X2)),composition(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X2)) )],[refute_0_9,refute_0_0]) ).
cnf(refute_0_11,plain,
X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
inference(canonicalize,[],[normalize_0_5]) ).
cnf(refute_0_12,plain,
join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),
inference(subst,[],[refute_0_6:[bind(X0,$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( $equal(X0,join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1))))) )],[refute_0_15,refute_0_30]) ).
cnf(refute_0_32,plain,
X_42 = join(meet(X_42,join(zero,meet(X_42,top))),complement(join(complement(X_42),join(zero,meet(X_42,top))))),
inference(subst,[],[refute_0_31:[bind(X0,$fot(X_42)),bind(X1,$fot(join(zero,meet(X_42,top))))]]) ).
cnf(refute_0_33,plain,
top = join(X0,complement(X0)),
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_34,plain,
top = join(join(complement(X_14),complement(X_15)),complement(join(complement(X_14),complement(X_15)))),
inference(subst,[],[refute_0_33:[bind(X0,$fot(join(complement(X_14),complement(X_15))))]]) ).
cnf(refute_0_35,plain,
meet(X_14,X_15) = complement(join(complement(X_14),complement(X_15))),
inference(subst,[],[refute_0_17:[bind(X0,$fot(X_14)),bind(X1,$fot(X_15))]]) ).
cnf(refute_0_36,plain,
( meet(X_14,X_15) != complement(join(complement(X_14),complement(X_15)))
| complement(join(complement(X_14),complement(X_15))) = meet(X_14,X_15) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(meet(X_14,X_15))),bind(Y,$fot(complement(join(complement(X_14),complement(X_15)))))]]) ).
cnf(refute_0_37,plain,
complement(join(complement(X_14),complement(X_15))) = meet(X_14,X_15),
inference(resolve,[$cnf( $equal(meet(X_14,X_15),complement(join(complement(X_14),complement(X_15)))) )],[refute_0_35,refute_0_36]) ).
cnf(refute_0_38,plain,
( complement(join(complement(X_14),complement(X_15))) != meet(X_14,X_15)
| top != join(join(complement(X_14),complement(X_15)),complement(join(complement(X_14),complement(X_15))))
| top = join(join(complement(X_14),complement(X_15)),meet(X_14,X_15)) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(join(complement(X_14),complement(X_15)),complement(join(complement(X_14),complement(X_15))))) ),[1,1],$fot(meet(X_14,X_15))]]) ).
cnf(refute_0_39,plain,
( top != join(join(complement(X_14),complement(X_15)),complement(join(complement(X_14),complement(X_15))))
| top = join(join(complement(X_14),complement(X_15)),meet(X_14,X_15)) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_14),complement(X_15))),meet(X_14,X_15)) )],[refute_0_37,refute_0_38]) ).
cnf(refute_0_40,plain,
top = join(join(complement(X_14),complement(X_15)),meet(X_14,X_15)),
inference(resolve,[$cnf( $equal(top,join(join(complement(X_14),complement(X_15)),complement(join(complement(X_14),complement(X_15))))) )],[refute_0_34,refute_0_39]) ).
cnf(refute_0_41,plain,
join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(canonicalize,[],[normalize_0_11]) ).
cnf(refute_0_42,plain,
( join(X0,join(X1,X2)) != join(join(X0,X1),X2)
| join(join(X0,X1),X2) = join(X0,join(X1,X2)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(X0,join(X1,X2)))),bind(Y,$fot(join(join(X0,X1),X2)))]]) ).
cnf(refute_0_43,plain,
join(join(X0,X1),X2) = join(X0,join(X1,X2)),
inference(resolve,[$cnf( $equal(join(X0,join(X1,X2)),join(join(X0,X1),X2)) )],[refute_0_41,refute_0_42]) ).
cnf(refute_0_44,plain,
join(join(complement(X_14),complement(X_15)),meet(X_14,X_15)) = join(complement(X_14),join(complement(X_15),meet(X_14,X_15))),
inference(subst,[],[refute_0_43:[bind(X0,$fot(complement(X_14))),bind(X1,$fot(complement(X_15))),bind(X2,$fot(meet(X_14,X_15)))]]) ).
cnf(refute_0_45,plain,
( join(join(complement(X_14),complement(X_15)),meet(X_14,X_15)) != join(complement(X_14),join(complement(X_15),meet(X_14,X_15)))
| top != join(join(complement(X_14),complement(X_15)),meet(X_14,X_15))
| top = join(complement(X_14),join(complement(X_15),meet(X_14,X_15))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(join(complement(X_14),complement(X_15)),meet(X_14,X_15))) ),[1],$fot(join(complement(X_14),join(complement(X_15),meet(X_14,X_15))))]]) ).
cnf(refute_0_46,plain,
( top != join(join(complement(X_14),complement(X_15)),meet(X_14,X_15))
| top = join(complement(X_14),join(complement(X_15),meet(X_14,X_15))) ),
inference(resolve,[$cnf( $equal(join(join(complement(X_14),complement(X_15)),meet(X_14,X_15)),join(complement(X_14),join(complement(X_15),meet(X_14,X_15)))) )],[refute_0_44,refute_0_45]) ).
cnf(refute_0_47,plain,
top = join(complement(X_14),join(complement(X_15),meet(X_14,X_15))),
inference(resolve,[$cnf( $equal(top,join(join(complement(X_14),complement(X_15)),meet(X_14,X_15))) )],[refute_0_40,refute_0_46]) ).
cnf(refute_0_48,plain,
top = join(complement(X_24),join(complement(top),meet(X_24,top))),
inference(subst,[],[refute_0_47:[bind(X_14,$fot(X_24)),bind(X_15,$fot(top))]]) ).
cnf(refute_0_49,plain,
zero = meet(X0,complement(X0)),
inference(canonicalize,[],[normalize_0_13]) ).
cnf(refute_0_50,plain,
zero = meet(join(complement(X_14),complement(X_15)),complement(join(complement(X_14),complement(X_15)))),
inference(subst,[],[refute_0_49:[bind(X0,$fot(join(complement(X_14),complement(X_15))))]]) ).
cnf(refute_0_51,plain,
( complement(join(complement(X_14),complement(X_15))) != meet(X_14,X_15)
| zero != meet(join(complement(X_14),complement(X_15)),complement(join(complement(X_14),complement(X_15))))
| zero = meet(join(complement(X_14),complement(X_15)),meet(X_14,X_15)) ),
introduced(tautology,[equality,[$cnf( $equal(zero,meet(join(complement(X_14),complement(X_15)),complement(join(complement(X_14),complement(X_15))))) ),[1,1],$fot(meet(X_14,X_15))]]) ).
cnf(refute_0_52,plain,
( zero != meet(join(complement(X_14),complement(X_15)),complement(join(complement(X_14),complement(X_15))))
| zero = meet(join(complement(X_14),complement(X_15)),meet(X_14,X_15)) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_14),complement(X_15))),meet(X_14,X_15)) )],[refute_0_37,refute_0_51]) ).
cnf(refute_0_53,plain,
zero = meet(join(complement(X_14),complement(X_15)),meet(X_14,X_15)),
inference(resolve,[$cnf( $equal(zero,meet(join(complement(X_14),complement(X_15)),complement(join(complement(X_14),complement(X_15))))) )],[refute_0_50,refute_0_52]) ).
cnf(refute_0_54,plain,
( top != join(X0,complement(X0))
| join(X0,complement(X0)) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(X0,complement(X0))))]]) ).
cnf(refute_0_55,plain,
join(X0,complement(X0)) = top,
inference(resolve,[$cnf( $equal(top,join(X0,complement(X0))) )],[refute_0_33,refute_0_54]) ).
cnf(refute_0_56,plain,
join(meet(X_14,X_15),complement(meet(X_14,X_15))) = top,
inference(subst,[],[refute_0_55:[bind(X0,$fot(meet(X_14,X_15)))]]) ).
cnf(refute_0_57,plain,
complement(join(meet(X_14,X_15),complement(meet(X_14,X_15)))) = complement(join(meet(X_14,X_15),complement(meet(X_14,X_15)))),
introduced(tautology,[refl,[$fot(complement(join(meet(X_14,X_15),complement(meet(X_14,X_15)))))]]) ).
cnf(refute_0_58,plain,
( complement(join(meet(X_14,X_15),complement(meet(X_14,X_15)))) != complement(join(meet(X_14,X_15),complement(meet(X_14,X_15))))
| join(meet(X_14,X_15),complement(meet(X_14,X_15))) != top
| complement(join(meet(X_14,X_15),complement(meet(X_14,X_15)))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(meet(X_14,X_15),complement(meet(X_14,X_15)))),complement(join(meet(X_14,X_15),complement(meet(X_14,X_15))))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_59,plain,
( join(meet(X_14,X_15),complement(meet(X_14,X_15))) != top
| complement(join(meet(X_14,X_15),complement(meet(X_14,X_15)))) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(join(meet(X_14,X_15),complement(meet(X_14,X_15)))),complement(join(meet(X_14,X_15),complement(meet(X_14,X_15))))) )],[refute_0_57,refute_0_58]) ).
cnf(refute_0_60,plain,
complement(join(meet(X_14,X_15),complement(meet(X_14,X_15)))) = complement(top),
inference(resolve,[$cnf( $equal(join(meet(X_14,X_15),complement(meet(X_14,X_15))),top) )],[refute_0_56,refute_0_59]) ).
cnf(refute_0_61,plain,
meet(join(complement(X_14),complement(X_15)),X1) = complement(join(complement(join(complement(X_14),complement(X_15))),complement(X1))),
inference(subst,[],[refute_0_17:[bind(X0,$fot(join(complement(X_14),complement(X_15))))]]) ).
cnf(refute_0_62,plain,
( complement(join(complement(X_14),complement(X_15))) != meet(X_14,X_15)
| meet(join(complement(X_14),complement(X_15)),X1) != complement(join(complement(join(complement(X_14),complement(X_15))),complement(X1)))
| meet(join(complement(X_14),complement(X_15)),X1) = complement(join(meet(X_14,X_15),complement(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(complement(X_14),complement(X_15)),X1),complement(join(complement(join(complement(X_14),complement(X_15))),complement(X1)))) ),[1,0,0],$fot(meet(X_14,X_15))]]) ).
cnf(refute_0_63,plain,
( meet(join(complement(X_14),complement(X_15)),X1) != complement(join(complement(join(complement(X_14),complement(X_15))),complement(X1)))
| meet(join(complement(X_14),complement(X_15)),X1) = complement(join(meet(X_14,X_15),complement(X1))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_14),complement(X_15))),meet(X_14,X_15)) )],[refute_0_37,refute_0_62]) ).
cnf(refute_0_64,plain,
meet(join(complement(X_14),complement(X_15)),X1) = complement(join(meet(X_14,X_15),complement(X1))),
inference(resolve,[$cnf( $equal(meet(join(complement(X_14),complement(X_15)),X1),complement(join(complement(join(complement(X_14),complement(X_15))),complement(X1)))) )],[refute_0_61,refute_0_63]) ).
cnf(refute_0_65,plain,
meet(join(complement(X_14),complement(X_15)),meet(X_14,X_15)) = complement(join(meet(X_14,X_15),complement(meet(X_14,X_15)))),
inference(subst,[],[refute_0_64:[bind(X1,$fot(meet(X_14,X_15)))]]) ).
cnf(refute_0_66,plain,
( complement(join(meet(X_14,X_15),complement(meet(X_14,X_15)))) != complement(top)
| meet(join(complement(X_14),complement(X_15)),meet(X_14,X_15)) != complement(join(meet(X_14,X_15),complement(meet(X_14,X_15))))
| meet(join(complement(X_14),complement(X_15)),meet(X_14,X_15)) = complement(top) ),
inference(subst,[],[refute_0_25:[bind(X,$fot(meet(join(complement(X_14),complement(X_15)),meet(X_14,X_15)))),bind(Y,$fot(complement(join(meet(X_14,X_15),complement(meet(X_14,X_15)))))),bind(Z,$fot(complement(top)))]]) ).
cnf(refute_0_67,plain,
( complement(join(meet(X_14,X_15),complement(meet(X_14,X_15)))) != complement(top)
| meet(join(complement(X_14),complement(X_15)),meet(X_14,X_15)) = complement(top) ),
inference(resolve,[$cnf( $equal(meet(join(complement(X_14),complement(X_15)),meet(X_14,X_15)),complement(join(meet(X_14,X_15),complement(meet(X_14,X_15))))) )],[refute_0_65,refute_0_66]) ).
cnf(refute_0_68,plain,
meet(join(complement(X_14),complement(X_15)),meet(X_14,X_15)) = complement(top),
inference(resolve,[$cnf( $equal(complement(join(meet(X_14,X_15),complement(meet(X_14,X_15)))),complement(top)) )],[refute_0_60,refute_0_67]) ).
cnf(refute_0_69,plain,
( meet(join(complement(X_14),complement(X_15)),meet(X_14,X_15)) != complement(top)
| zero != meet(join(complement(X_14),complement(X_15)),meet(X_14,X_15))
| zero = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(zero,meet(join(complement(X_14),complement(X_15)),meet(X_14,X_15))) ),[1],$fot(complement(top))]]) ).
cnf(refute_0_70,plain,
( zero != meet(join(complement(X_14),complement(X_15)),meet(X_14,X_15))
| zero = complement(top) ),
inference(resolve,[$cnf( $equal(meet(join(complement(X_14),complement(X_15)),meet(X_14,X_15)),complement(top)) )],[refute_0_68,refute_0_69]) ).
cnf(refute_0_71,plain,
zero = complement(top),
inference(resolve,[$cnf( $equal(zero,meet(join(complement(X_14),complement(X_15)),meet(X_14,X_15))) )],[refute_0_53,refute_0_70]) ).
cnf(refute_0_72,plain,
( zero != complement(top)
| complement(top) = zero ),
inference(subst,[],[refute_0_4:[bind(X,$fot(zero)),bind(Y,$fot(complement(top)))]]) ).
cnf(refute_0_73,plain,
complement(top) = zero,
inference(resolve,[$cnf( $equal(zero,complement(top)) )],[refute_0_71,refute_0_72]) ).
cnf(refute_0_74,plain,
( complement(top) != zero
| top != join(complement(X_24),join(complement(top),meet(X_24,top)))
| top = join(complement(X_24),join(zero,meet(X_24,top))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(X_24),join(complement(top),meet(X_24,top)))) ),[1,1,0],$fot(zero)]]) ).
cnf(refute_0_75,plain,
( top != join(complement(X_24),join(complement(top),meet(X_24,top)))
| top = join(complement(X_24),join(zero,meet(X_24,top))) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_73,refute_0_74]) ).
cnf(refute_0_76,plain,
top = join(complement(X_24),join(zero,meet(X_24,top))),
inference(resolve,[$cnf( $equal(top,join(complement(X_24),join(complement(top),meet(X_24,top)))) )],[refute_0_48,refute_0_75]) ).
cnf(refute_0_77,plain,
top = join(complement(X_42),join(zero,meet(X_42,top))),
inference(subst,[],[refute_0_76:[bind(X_24,$fot(X_42))]]) ).
cnf(refute_0_78,plain,
( top != join(complement(X_42),join(zero,meet(X_42,top)))
| join(complement(X_42),join(zero,meet(X_42,top))) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(complement(X_42),join(zero,meet(X_42,top)))))]]) ).
cnf(refute_0_79,plain,
join(complement(X_42),join(zero,meet(X_42,top))) = top,
inference(resolve,[$cnf( $equal(top,join(complement(X_42),join(zero,meet(X_42,top)))) )],[refute_0_77,refute_0_78]) ).
cnf(refute_0_80,plain,
( X_42 != join(meet(X_42,join(zero,meet(X_42,top))),complement(join(complement(X_42),join(zero,meet(X_42,top)))))
| join(complement(X_42),join(zero,meet(X_42,top))) != top
| X_42 = join(meet(X_42,join(zero,meet(X_42,top))),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(X_42,join(meet(X_42,join(zero,meet(X_42,top))),complement(join(complement(X_42),join(zero,meet(X_42,top)))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_0_81,plain,
( X_42 != join(meet(X_42,join(zero,meet(X_42,top))),complement(join(complement(X_42),join(zero,meet(X_42,top)))))
| X_42 = join(meet(X_42,join(zero,meet(X_42,top))),complement(top)) ),
inference(resolve,[$cnf( $equal(join(complement(X_42),join(zero,meet(X_42,top))),top) )],[refute_0_79,refute_0_80]) ).
cnf(refute_0_82,plain,
X_42 = join(meet(X_42,join(zero,meet(X_42,top))),complement(top)),
inference(resolve,[$cnf( $equal(X_42,join(meet(X_42,join(zero,meet(X_42,top))),complement(join(complement(X_42),join(zero,meet(X_42,top)))))) )],[refute_0_32,refute_0_81]) ).
cnf(refute_0_83,plain,
join(complement(top),meet(X_42,join(zero,meet(X_42,top)))) = join(complement(top),meet(X_42,join(zero,meet(X_42,top)))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(X_42,join(zero,meet(X_42,top)))))]]) ).
cnf(refute_0_84,plain,
( complement(top) != zero
| join(complement(top),meet(X_42,join(zero,meet(X_42,top)))) != join(complement(top),meet(X_42,join(zero,meet(X_42,top))))
| join(complement(top),meet(X_42,join(zero,meet(X_42,top)))) = join(zero,meet(X_42,join(zero,meet(X_42,top)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(X_42,join(zero,meet(X_42,top)))),join(complement(top),meet(X_42,join(zero,meet(X_42,top))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_85,plain,
( complement(top) != zero
| join(complement(top),meet(X_42,join(zero,meet(X_42,top)))) = join(zero,meet(X_42,join(zero,meet(X_42,top)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_42,join(zero,meet(X_42,top)))),join(complement(top),meet(X_42,join(zero,meet(X_42,top))))) )],[refute_0_83,refute_0_84]) ).
cnf(refute_0_86,plain,
join(complement(top),meet(X_42,join(zero,meet(X_42,top)))) = join(zero,meet(X_42,join(zero,meet(X_42,top)))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_73,refute_0_85]) ).
cnf(refute_0_87,plain,
join(meet(X_42,join(zero,meet(X_42,top))),complement(top)) = join(complement(top),meet(X_42,join(zero,meet(X_42,top)))),
inference(subst,[],[refute_0_6:[bind(X0,$fot(complement(top))),bind(X1,$fot(meet(X_42,join(zero,meet(X_42,top)))))]]) ).
cnf(refute_0_88,plain,
( join(complement(top),meet(X_42,join(zero,meet(X_42,top)))) != join(zero,meet(X_42,join(zero,meet(X_42,top))))
| join(meet(X_42,join(zero,meet(X_42,top))),complement(top)) != join(complement(top),meet(X_42,join(zero,meet(X_42,top))))
| join(meet(X_42,join(zero,meet(X_42,top))),complement(top)) = join(zero,meet(X_42,join(zero,meet(X_42,top)))) ),
inference(subst,[],[refute_0_25:[bind(X,$fot(join(meet(X_42,join(zero,meet(X_42,top))),complement(top)))),bind(Y,$fot(join(complement(top),meet(X_42,join(zero,meet(X_42,top)))))),bind(Z,$fot(join(zero,meet(X_42,join(zero,meet(X_42,top))))))]]) ).
cnf(refute_0_89,plain,
( join(complement(top),meet(X_42,join(zero,meet(X_42,top)))) != join(zero,meet(X_42,join(zero,meet(X_42,top))))
| join(meet(X_42,join(zero,meet(X_42,top))),complement(top)) = join(zero,meet(X_42,join(zero,meet(X_42,top)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_42,join(zero,meet(X_42,top))),complement(top)),join(complement(top),meet(X_42,join(zero,meet(X_42,top))))) )],[refute_0_87,refute_0_88]) ).
cnf(refute_0_90,plain,
join(meet(X_42,join(zero,meet(X_42,top))),complement(top)) = join(zero,meet(X_42,join(zero,meet(X_42,top)))),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_42,join(zero,meet(X_42,top)))),join(zero,meet(X_42,join(zero,meet(X_42,top))))) )],[refute_0_86,refute_0_89]) ).
cnf(refute_0_91,plain,
( X_42 != join(meet(X_42,join(zero,meet(X_42,top))),complement(top))
| join(meet(X_42,join(zero,meet(X_42,top))),complement(top)) != join(zero,meet(X_42,join(zero,meet(X_42,top))))
| X_42 = join(zero,meet(X_42,join(zero,meet(X_42,top)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_42,join(zero,meet(X_42,join(zero,meet(X_42,top))))) ),[0],$fot(join(meet(X_42,join(zero,meet(X_42,top))),complement(top)))]]) ).
cnf(refute_0_92,plain,
( X_42 != join(meet(X_42,join(zero,meet(X_42,top))),complement(top))
| X_42 = join(zero,meet(X_42,join(zero,meet(X_42,top)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_42,join(zero,meet(X_42,top))),complement(top)),join(zero,meet(X_42,join(zero,meet(X_42,top))))) )],[refute_0_90,refute_0_91]) ).
cnf(refute_0_93,plain,
X_42 = join(zero,meet(X_42,join(zero,meet(X_42,top)))),
inference(resolve,[$cnf( $equal(X_42,join(meet(X_42,join(zero,meet(X_42,top))),complement(top))) )],[refute_0_82,refute_0_92]) ).
cnf(refute_0_94,plain,
X0 = join(meet(X0,zero),complement(join(complement(X0),zero))),
inference(subst,[],[refute_0_31:[bind(X1,$fot(zero))]]) ).
cnf(refute_0_95,plain,
meet(X0,zero) = complement(join(complement(X0),complement(zero))),
inference(subst,[],[refute_0_17:[bind(X1,$fot(zero))]]) ).
cnf(refute_0_96,plain,
X_42 = join(meet(X_42,join(zero,meet(top,X_42))),complement(join(complement(X_42),join(zero,meet(top,X_42))))),
inference(subst,[],[refute_0_31:[bind(X0,$fot(X_42)),bind(X1,$fot(join(zero,meet(top,X_42))))]]) ).
cnf(refute_0_97,plain,
top = join(complement(X_31),join(zero,meet(X_31,top))),
inference(subst,[],[refute_0_76:[bind(X_24,$fot(X_31))]]) ).
cnf(refute_0_98,plain,
join(complement(X_15),complement(X_14)) = join(complement(X_14),complement(X_15)),
inference(subst,[],[refute_0_1:[bind(X0,$fot(complement(X_15))),bind(X1,$fot(complement(X_14)))]]) ).
cnf(refute_0_99,plain,
( join(complement(X_15),complement(X_14)) != join(complement(X_14),complement(X_15))
| join(complement(X_14),complement(X_15)) = join(complement(X_15),complement(X_14)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(complement(X_15),complement(X_14)))),bind(Y,$fot(join(complement(X_14),complement(X_15))))]]) ).
cnf(refute_0_100,plain,
join(complement(X_14),complement(X_15)) = join(complement(X_15),complement(X_14)),
inference(resolve,[$cnf( $equal(join(complement(X_15),complement(X_14)),join(complement(X_14),complement(X_15))) )],[refute_0_98,refute_0_99]) ).
cnf(refute_0_101,plain,
( join(complement(X_14),complement(X_15)) != join(complement(X_15),complement(X_14))
| meet(X_14,X_15) != complement(join(complement(X_14),complement(X_15)))
| meet(X_14,X_15) = complement(join(complement(X_15),complement(X_14))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_14,X_15),complement(join(complement(X_14),complement(X_15)))) ),[1,0],$fot(join(complement(X_15),complement(X_14)))]]) ).
cnf(refute_0_102,plain,
( meet(X_14,X_15) != complement(join(complement(X_14),complement(X_15)))
| meet(X_14,X_15) = complement(join(complement(X_15),complement(X_14))) ),
inference(resolve,[$cnf( $equal(join(complement(X_14),complement(X_15)),join(complement(X_15),complement(X_14))) )],[refute_0_100,refute_0_101]) ).
cnf(refute_0_103,plain,
meet(X_14,X_15) = complement(join(complement(X_15),complement(X_14))),
inference(resolve,[$cnf( $equal(meet(X_14,X_15),complement(join(complement(X_14),complement(X_15)))) )],[refute_0_35,refute_0_102]) ).
cnf(refute_0_104,plain,
complement(join(complement(X_15),complement(X_14))) = meet(X_15,X_14),
inference(subst,[],[refute_0_19:[bind(X0,$fot(X_15)),bind(X1,$fot(X_14))]]) ).
cnf(refute_0_105,plain,
( complement(join(complement(X_15),complement(X_14))) != meet(X_15,X_14)
| meet(X_14,X_15) != complement(join(complement(X_15),complement(X_14)))
| meet(X_14,X_15) = meet(X_15,X_14) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_14,X_15),complement(join(complement(X_15),complement(X_14)))) ),[1],$fot(meet(X_15,X_14))]]) ).
cnf(refute_0_106,plain,
( meet(X_14,X_15) != complement(join(complement(X_15),complement(X_14)))
| meet(X_14,X_15) = meet(X_15,X_14) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_15),complement(X_14))),meet(X_15,X_14)) )],[refute_0_104,refute_0_105]) ).
cnf(refute_0_107,plain,
meet(X_14,X_15) = meet(X_15,X_14),
inference(resolve,[$cnf( $equal(meet(X_14,X_15),complement(join(complement(X_15),complement(X_14)))) )],[refute_0_103,refute_0_106]) ).
cnf(refute_0_108,plain,
meet(top,X_31) = meet(X_31,top),
inference(subst,[],[refute_0_107:[bind(X_14,$fot(top)),bind(X_15,$fot(X_31))]]) ).
cnf(refute_0_109,plain,
( meet(top,X_31) != meet(X_31,top)
| meet(X_31,top) = meet(top,X_31) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(meet(top,X_31))),bind(Y,$fot(meet(X_31,top)))]]) ).
cnf(refute_0_110,plain,
meet(X_31,top) = meet(top,X_31),
inference(resolve,[$cnf( $equal(meet(top,X_31),meet(X_31,top)) )],[refute_0_108,refute_0_109]) ).
cnf(refute_0_111,plain,
( meet(X_31,top) != meet(top,X_31)
| top != join(complement(X_31),join(zero,meet(X_31,top)))
| top = join(complement(X_31),join(zero,meet(top,X_31))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(X_31),join(zero,meet(X_31,top)))) ),[1,1,1],$fot(meet(top,X_31))]]) ).
cnf(refute_0_112,plain,
( top != join(complement(X_31),join(zero,meet(X_31,top)))
| top = join(complement(X_31),join(zero,meet(top,X_31))) ),
inference(resolve,[$cnf( $equal(meet(X_31,top),meet(top,X_31)) )],[refute_0_110,refute_0_111]) ).
cnf(refute_0_113,plain,
top = join(complement(X_31),join(zero,meet(top,X_31))),
inference(resolve,[$cnf( $equal(top,join(complement(X_31),join(zero,meet(X_31,top)))) )],[refute_0_97,refute_0_112]) ).
cnf(refute_0_114,plain,
top = join(complement(X_42),join(zero,meet(top,X_42))),
inference(subst,[],[refute_0_113:[bind(X_31,$fot(X_42))]]) ).
cnf(refute_0_115,plain,
( top != join(complement(X_42),join(zero,meet(top,X_42)))
| join(complement(X_42),join(zero,meet(top,X_42))) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(complement(X_42),join(zero,meet(top,X_42)))))]]) ).
cnf(refute_0_116,plain,
join(complement(X_42),join(zero,meet(top,X_42))) = top,
inference(resolve,[$cnf( $equal(top,join(complement(X_42),join(zero,meet(top,X_42)))) )],[refute_0_114,refute_0_115]) ).
cnf(refute_0_117,plain,
( X_42 != join(meet(X_42,join(zero,meet(top,X_42))),complement(join(complement(X_42),join(zero,meet(top,X_42)))))
| join(complement(X_42),join(zero,meet(top,X_42))) != top
| X_42 = join(meet(X_42,join(zero,meet(top,X_42))),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(X_42,join(meet(X_42,join(zero,meet(top,X_42))),complement(join(complement(X_42),join(zero,meet(top,X_42)))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_0_118,plain,
( X_42 != join(meet(X_42,join(zero,meet(top,X_42))),complement(join(complement(X_42),join(zero,meet(top,X_42)))))
| X_42 = join(meet(X_42,join(zero,meet(top,X_42))),complement(top)) ),
inference(resolve,[$cnf( $equal(join(complement(X_42),join(zero,meet(top,X_42))),top) )],[refute_0_116,refute_0_117]) ).
cnf(refute_0_119,plain,
X_42 = join(meet(X_42,join(zero,meet(top,X_42))),complement(top)),
inference(resolve,[$cnf( $equal(X_42,join(meet(X_42,join(zero,meet(top,X_42))),complement(join(complement(X_42),join(zero,meet(top,X_42)))))) )],[refute_0_96,refute_0_118]) ).
cnf(refute_0_120,plain,
join(complement(top),meet(X_42,join(zero,meet(top,X_42)))) = join(complement(top),meet(X_42,join(zero,meet(top,X_42)))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(X_42,join(zero,meet(top,X_42)))))]]) ).
cnf(refute_0_121,plain,
( complement(top) != zero
| join(complement(top),meet(X_42,join(zero,meet(top,X_42)))) != join(complement(top),meet(X_42,join(zero,meet(top,X_42))))
| join(complement(top),meet(X_42,join(zero,meet(top,X_42)))) = join(zero,meet(X_42,join(zero,meet(top,X_42)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(X_42,join(zero,meet(top,X_42)))),join(complement(top),meet(X_42,join(zero,meet(top,X_42))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_122,plain,
( complement(top) != zero
| join(complement(top),meet(X_42,join(zero,meet(top,X_42)))) = join(zero,meet(X_42,join(zero,meet(top,X_42)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_42,join(zero,meet(top,X_42)))),join(complement(top),meet(X_42,join(zero,meet(top,X_42))))) )],[refute_0_120,refute_0_121]) ).
cnf(refute_0_123,plain,
join(complement(top),meet(X_42,join(zero,meet(top,X_42)))) = join(zero,meet(X_42,join(zero,meet(top,X_42)))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_73,refute_0_122]) ).
cnf(refute_0_124,plain,
join(meet(X_42,join(zero,meet(top,X_42))),complement(top)) = join(complement(top),meet(X_42,join(zero,meet(top,X_42)))),
inference(subst,[],[refute_0_6:[bind(X0,$fot(complement(top))),bind(X1,$fot(meet(X_42,join(zero,meet(top,X_42)))))]]) ).
cnf(refute_0_125,plain,
( join(complement(top),meet(X_42,join(zero,meet(top,X_42)))) != join(zero,meet(X_42,join(zero,meet(top,X_42))))
| join(meet(X_42,join(zero,meet(top,X_42))),complement(top)) != join(complement(top),meet(X_42,join(zero,meet(top,X_42))))
| join(meet(X_42,join(zero,meet(top,X_42))),complement(top)) = join(zero,meet(X_42,join(zero,meet(top,X_42)))) ),
inference(subst,[],[refute_0_25:[bind(X,$fot(join(meet(X_42,join(zero,meet(top,X_42))),complement(top)))),bind(Y,$fot(join(complement(top),meet(X_42,join(zero,meet(top,X_42)))))),bind(Z,$fot(join(zero,meet(X_42,join(zero,meet(top,X_42))))))]]) ).
cnf(refute_0_126,plain,
( join(complement(top),meet(X_42,join(zero,meet(top,X_42)))) != join(zero,meet(X_42,join(zero,meet(top,X_42))))
| join(meet(X_42,join(zero,meet(top,X_42))),complement(top)) = join(zero,meet(X_42,join(zero,meet(top,X_42)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_42,join(zero,meet(top,X_42))),complement(top)),join(complement(top),meet(X_42,join(zero,meet(top,X_42))))) )],[refute_0_124,refute_0_125]) ).
cnf(refute_0_127,plain,
join(meet(X_42,join(zero,meet(top,X_42))),complement(top)) = join(zero,meet(X_42,join(zero,meet(top,X_42)))),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_42,join(zero,meet(top,X_42)))),join(zero,meet(X_42,join(zero,meet(top,X_42))))) )],[refute_0_123,refute_0_126]) ).
cnf(refute_0_128,plain,
( X_42 != join(meet(X_42,join(zero,meet(top,X_42))),complement(top))
| join(meet(X_42,join(zero,meet(top,X_42))),complement(top)) != join(zero,meet(X_42,join(zero,meet(top,X_42))))
| X_42 = join(zero,meet(X_42,join(zero,meet(top,X_42)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_42,join(zero,meet(X_42,join(zero,meet(top,X_42))))) ),[0],$fot(join(meet(X_42,join(zero,meet(top,X_42))),complement(top)))]]) ).
cnf(refute_0_129,plain,
( X_42 != join(meet(X_42,join(zero,meet(top,X_42))),complement(top))
| X_42 = join(zero,meet(X_42,join(zero,meet(top,X_42)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_42,join(zero,meet(top,X_42))),complement(top)),join(zero,meet(X_42,join(zero,meet(top,X_42))))) )],[refute_0_127,refute_0_128]) ).
cnf(refute_0_130,plain,
X_42 = join(zero,meet(X_42,join(zero,meet(top,X_42)))),
inference(resolve,[$cnf( $equal(X_42,join(meet(X_42,join(zero,meet(top,X_42))),complement(top))) )],[refute_0_119,refute_0_129]) ).
cnf(refute_0_131,plain,
complement(complement(top)) = join(zero,meet(complement(complement(top)),join(zero,meet(top,complement(complement(top)))))),
inference(subst,[],[refute_0_130:[bind(X_42,$fot(complement(complement(top))))]]) ).
cnf(refute_0_132,plain,
X_42 = join(meet(X_42,complement(complement(X_42))),complement(join(complement(X_42),complement(complement(X_42))))),
inference(subst,[],[refute_0_31:[bind(X0,$fot(X_42)),bind(X1,$fot(complement(complement(X_42))))]]) ).
cnf(refute_0_133,plain,
top = join(complement(X_42),complement(complement(X_42))),
inference(subst,[],[refute_0_33:[bind(X0,$fot(complement(X_42)))]]) ).
cnf(refute_0_134,plain,
( top != join(complement(X_42),complement(complement(X_42)))
| join(complement(X_42),complement(complement(X_42))) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(complement(X_42),complement(complement(X_42)))))]]) ).
cnf(refute_0_135,plain,
join(complement(X_42),complement(complement(X_42))) = top,
inference(resolve,[$cnf( $equal(top,join(complement(X_42),complement(complement(X_42)))) )],[refute_0_133,refute_0_134]) ).
cnf(refute_0_136,plain,
( X_42 != join(meet(X_42,complement(complement(X_42))),complement(join(complement(X_42),complement(complement(X_42)))))
| join(complement(X_42),complement(complement(X_42))) != top
| X_42 = join(meet(X_42,complement(complement(X_42))),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(X_42,join(meet(X_42,complement(complement(X_42))),complement(join(complement(X_42),complement(complement(X_42)))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_0_137,plain,
( X_42 != join(meet(X_42,complement(complement(X_42))),complement(join(complement(X_42),complement(complement(X_42)))))
| X_42 = join(meet(X_42,complement(complement(X_42))),complement(top)) ),
inference(resolve,[$cnf( $equal(join(complement(X_42),complement(complement(X_42))),top) )],[refute_0_135,refute_0_136]) ).
cnf(refute_0_138,plain,
X_42 = join(meet(X_42,complement(complement(X_42))),complement(top)),
inference(resolve,[$cnf( $equal(X_42,join(meet(X_42,complement(complement(X_42))),complement(join(complement(X_42),complement(complement(X_42)))))) )],[refute_0_132,refute_0_137]) ).
cnf(refute_0_139,plain,
join(complement(top),meet(X_42,complement(complement(X_42)))) = join(complement(top),meet(X_42,complement(complement(X_42)))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(X_42,complement(complement(X_42)))))]]) ).
cnf(refute_0_140,plain,
( complement(top) != zero
| join(complement(top),meet(X_42,complement(complement(X_42)))) != join(complement(top),meet(X_42,complement(complement(X_42))))
| join(complement(top),meet(X_42,complement(complement(X_42)))) = join(zero,meet(X_42,complement(complement(X_42)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(X_42,complement(complement(X_42)))),join(complement(top),meet(X_42,complement(complement(X_42))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_141,plain,
( complement(top) != zero
| join(complement(top),meet(X_42,complement(complement(X_42)))) = join(zero,meet(X_42,complement(complement(X_42)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_42,complement(complement(X_42)))),join(complement(top),meet(X_42,complement(complement(X_42))))) )],[refute_0_139,refute_0_140]) ).
cnf(refute_0_142,plain,
join(complement(top),meet(X_42,complement(complement(X_42)))) = join(zero,meet(X_42,complement(complement(X_42)))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_73,refute_0_141]) ).
cnf(refute_0_143,plain,
join(meet(X_42,complement(complement(X_42))),complement(top)) = join(complement(top),meet(X_42,complement(complement(X_42)))),
inference(subst,[],[refute_0_6:[bind(X0,$fot(complement(top))),bind(X1,$fot(meet(X_42,complement(complement(X_42)))))]]) ).
cnf(refute_0_144,plain,
( join(complement(top),meet(X_42,complement(complement(X_42)))) != join(zero,meet(X_42,complement(complement(X_42))))
| join(meet(X_42,complement(complement(X_42))),complement(top)) != join(complement(top),meet(X_42,complement(complement(X_42))))
| join(meet(X_42,complement(complement(X_42))),complement(top)) = join(zero,meet(X_42,complement(complement(X_42)))) ),
inference(subst,[],[refute_0_25:[bind(X,$fot(join(meet(X_42,complement(complement(X_42))),complement(top)))),bind(Y,$fot(join(complement(top),meet(X_42,complement(complement(X_42)))))),bind(Z,$fot(join(zero,meet(X_42,complement(complement(X_42))))))]]) ).
cnf(refute_0_145,plain,
( join(complement(top),meet(X_42,complement(complement(X_42)))) != join(zero,meet(X_42,complement(complement(X_42))))
| join(meet(X_42,complement(complement(X_42))),complement(top)) = join(zero,meet(X_42,complement(complement(X_42)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_42,complement(complement(X_42))),complement(top)),join(complement(top),meet(X_42,complement(complement(X_42))))) )],[refute_0_143,refute_0_144]) ).
cnf(refute_0_146,plain,
join(meet(X_42,complement(complement(X_42))),complement(top)) = join(zero,meet(X_42,complement(complement(X_42)))),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_42,complement(complement(X_42)))),join(zero,meet(X_42,complement(complement(X_42))))) )],[refute_0_142,refute_0_145]) ).
cnf(refute_0_147,plain,
( X_42 != join(meet(X_42,complement(complement(X_42))),complement(top))
| join(meet(X_42,complement(complement(X_42))),complement(top)) != join(zero,meet(X_42,complement(complement(X_42))))
| X_42 = join(zero,meet(X_42,complement(complement(X_42)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_42,join(zero,meet(X_42,complement(complement(X_42))))) ),[0],$fot(join(meet(X_42,complement(complement(X_42))),complement(top)))]]) ).
cnf(refute_0_148,plain,
( X_42 != join(meet(X_42,complement(complement(X_42))),complement(top))
| X_42 = join(zero,meet(X_42,complement(complement(X_42)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_42,complement(complement(X_42))),complement(top)),join(zero,meet(X_42,complement(complement(X_42))))) )],[refute_0_146,refute_0_147]) ).
cnf(refute_0_149,plain,
X_42 = join(zero,meet(X_42,complement(complement(X_42)))),
inference(resolve,[$cnf( $equal(X_42,join(meet(X_42,complement(complement(X_42))),complement(top))) )],[refute_0_138,refute_0_148]) ).
cnf(refute_0_150,plain,
top = join(zero,meet(top,complement(complement(top)))),
inference(subst,[],[refute_0_149:[bind(X_42,$fot(top))]]) ).
cnf(refute_0_151,plain,
( top != join(zero,meet(top,complement(complement(top))))
| join(zero,meet(top,complement(complement(top)))) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(zero,meet(top,complement(complement(top))))))]]) ).
cnf(refute_0_152,plain,
join(zero,meet(top,complement(complement(top)))) = top,
inference(resolve,[$cnf( $equal(top,join(zero,meet(top,complement(complement(top))))) )],[refute_0_150,refute_0_151]) ).
cnf(refute_0_153,plain,
( complement(complement(top)) != join(zero,meet(complement(complement(top)),join(zero,meet(top,complement(complement(top))))))
| join(zero,meet(top,complement(complement(top)))) != top
| complement(complement(top)) = join(zero,meet(complement(complement(top)),top)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(top)),join(zero,meet(complement(complement(top)),join(zero,meet(top,complement(complement(top))))))) ),[1,1,1],$fot(top)]]) ).
cnf(refute_0_154,plain,
( complement(complement(top)) != join(zero,meet(complement(complement(top)),join(zero,meet(top,complement(complement(top))))))
| complement(complement(top)) = join(zero,meet(complement(complement(top)),top)) ),
inference(resolve,[$cnf( $equal(join(zero,meet(top,complement(complement(top)))),top) )],[refute_0_152,refute_0_153]) ).
cnf(refute_0_155,plain,
complement(complement(top)) = join(zero,meet(complement(complement(top)),top)),
inference(resolve,[$cnf( $equal(complement(complement(top)),join(zero,meet(complement(complement(top)),join(zero,meet(top,complement(complement(top))))))) )],[refute_0_131,refute_0_154]) ).
cnf(refute_0_156,plain,
complement(complement(top)) = complement(complement(top)),
introduced(tautology,[refl,[$fot(complement(complement(top)))]]) ).
cnf(refute_0_157,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_158,plain,
( complement(top) != zero
| complement(complement(top)) = complement(zero) ),
inference(resolve,[$cnf( $equal(complement(complement(top)),complement(complement(top))) )],[refute_0_156,refute_0_157]) ).
cnf(refute_0_159,plain,
complement(complement(top)) = complement(zero),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_73,refute_0_158]) ).
cnf(refute_0_160,plain,
( complement(complement(top)) != complement(zero)
| complement(complement(top)) != join(zero,meet(complement(complement(top)),top))
| complement(zero) = join(zero,meet(complement(complement(top)),top)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(top)),join(zero,meet(complement(complement(top)),top))) ),[0],$fot(complement(zero))]]) ).
cnf(refute_0_161,plain,
( complement(complement(top)) != join(zero,meet(complement(complement(top)),top))
| complement(zero) = join(zero,meet(complement(complement(top)),top)) ),
inference(resolve,[$cnf( $equal(complement(complement(top)),complement(zero)) )],[refute_0_159,refute_0_160]) ).
cnf(refute_0_162,plain,
join(zero,complement(zero)) = top,
inference(subst,[],[refute_0_55:[bind(X0,$fot(zero))]]) ).
cnf(refute_0_163,plain,
meet(top,X1) = complement(join(complement(top),complement(X1))),
inference(subst,[],[refute_0_17:[bind(X0,$fot(top))]]) ).
cnf(refute_0_164,plain,
( complement(top) != zero
| meet(top,X1) != complement(join(complement(top),complement(X1)))
| meet(top,X1) = complement(join(zero,complement(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,X1),complement(join(complement(top),complement(X1)))) ),[1,0,0],$fot(zero)]]) ).
cnf(refute_0_165,plain,
( meet(top,X1) != complement(join(complement(top),complement(X1)))
| meet(top,X1) = complement(join(zero,complement(X1))) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_73,refute_0_164]) ).
cnf(refute_0_166,plain,
meet(top,X1) = complement(join(zero,complement(X1))),
inference(resolve,[$cnf( $equal(meet(top,X1),complement(join(complement(top),complement(X1)))) )],[refute_0_163,refute_0_165]) ).
cnf(refute_0_167,plain,
meet(top,complement(X_44)) = complement(join(zero,complement(complement(X_44)))),
inference(subst,[],[refute_0_166:[bind(X1,$fot(complement(X_44)))]]) ).
cnf(refute_0_168,plain,
X_42 = join(meet(X_42,complement(X_42)),complement(join(complement(X_42),complement(X_42)))),
inference(subst,[],[refute_0_31:[bind(X0,$fot(X_42)),bind(X1,$fot(complement(X_42)))]]) ).
cnf(refute_0_169,plain,
join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
inference(canonicalize,[],[normalize_0_15]) ).
cnf(refute_0_170,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_171,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_172,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( $equal(join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),join(complement(X1),composition(converse(X0),complement(composition(X0,X1))))) )],[refute_0_170,refute_0_171]) ).
cnf(refute_0_173,plain,
join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))) = complement(X1),
inference(resolve,[$cnf( $equal(join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),complement(X1)) )],[refute_0_169,refute_0_172]) ).
cnf(refute_0_174,plain,
join(complement(X_33),composition(converse(one),complement(composition(one,X_33)))) = complement(X_33),
inference(subst,[],[refute_0_173:[bind(X0,$fot(one)),bind(X1,$fot(X_33))]]) ).
cnf(refute_0_175,plain,
converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(canonicalize,[],[normalize_0_17]) ).
cnf(refute_0_176,plain,
converse(composition(converse(X0),X_5)) = composition(converse(X_5),converse(converse(X0))),
inference(subst,[],[refute_0_175:[bind(X0,$fot(converse(X0))),bind(X1,$fot(X_5))]]) ).
cnf(refute_0_177,plain,
converse(converse(X0)) = X0,
inference(canonicalize,[],[normalize_0_19]) ).
cnf(refute_0_178,plain,
( converse(composition(converse(X0),X_5)) != composition(converse(X_5),converse(converse(X0)))
| converse(converse(X0)) != X0
| converse(composition(converse(X0),X_5)) = composition(converse(X_5),X0) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(X0),X_5)),composition(converse(X_5),converse(converse(X0)))) ),[1,1],$fot(X0)]]) ).
cnf(refute_0_179,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( $equal(converse(converse(X0)),X0) )],[refute_0_177,refute_0_178]) ).
cnf(refute_0_180,plain,
converse(composition(converse(X0),X_5)) = composition(converse(X_5),X0),
inference(resolve,[$cnf( $equal(converse(composition(converse(X0),X_5)),composition(converse(X_5),converse(converse(X0)))) )],[refute_0_176,refute_0_179]) ).
cnf(refute_0_181,plain,
converse(composition(converse(X_8),one)) = composition(converse(one),X_8),
inference(subst,[],[refute_0_180:[bind(X0,$fot(X_8)),bind(X_5,$fot(one))]]) ).
cnf(refute_0_182,plain,
composition(X0,one) = X0,
inference(canonicalize,[],[normalize_0_21]) ).
cnf(refute_0_183,plain,
composition(converse(X_8),one) = converse(X_8),
inference(subst,[],[refute_0_182:[bind(X0,$fot(converse(X_8)))]]) ).
cnf(refute_0_184,plain,
( composition(converse(X_8),one) != converse(X_8)
| converse(composition(converse(X_8),one)) != composition(converse(one),X_8)
| converse(converse(X_8)) = composition(converse(one),X_8) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(X_8),one)),composition(converse(one),X_8)) ),[0,0],$fot(converse(X_8))]]) ).
cnf(refute_0_185,plain,
( converse(composition(converse(X_8),one)) != composition(converse(one),X_8)
| converse(converse(X_8)) = composition(converse(one),X_8) ),
inference(resolve,[$cnf( $equal(composition(converse(X_8),one),converse(X_8)) )],[refute_0_183,refute_0_184]) ).
cnf(refute_0_186,plain,
converse(converse(X_8)) = composition(converse(one),X_8),
inference(resolve,[$cnf( $equal(converse(composition(converse(X_8),one)),composition(converse(one),X_8)) )],[refute_0_181,refute_0_185]) ).
cnf(refute_0_187,plain,
converse(converse(X_8)) = X_8,
inference(subst,[],[refute_0_177:[bind(X0,$fot(X_8))]]) ).
cnf(refute_0_188,plain,
( converse(converse(X_8)) != X_8
| converse(converse(X_8)) != composition(converse(one),X_8)
| X_8 = composition(converse(one),X_8) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(X_8)),composition(converse(one),X_8)) ),[0],$fot(X_8)]]) ).
cnf(refute_0_189,plain,
( converse(converse(X_8)) != composition(converse(one),X_8)
| X_8 = composition(converse(one),X_8) ),
inference(resolve,[$cnf( $equal(converse(converse(X_8)),X_8) )],[refute_0_187,refute_0_188]) ).
cnf(refute_0_190,plain,
X_8 = composition(converse(one),X_8),
inference(resolve,[$cnf( $equal(converse(converse(X_8)),composition(converse(one),X_8)) )],[refute_0_186,refute_0_189]) ).
cnf(refute_0_191,plain,
composition(converse(one),one) = converse(one),
inference(subst,[],[refute_0_182:[bind(X0,$fot(converse(one)))]]) ).
cnf(refute_0_192,plain,
one = composition(converse(one),one),
inference(subst,[],[refute_0_190:[bind(X_8,$fot(one))]]) ).
cnf(refute_0_193,plain,
( one != composition(converse(one),one)
| composition(converse(one),one) = one ),
inference(subst,[],[refute_0_4:[bind(X,$fot(one)),bind(Y,$fot(composition(converse(one),one)))]]) ).
cnf(refute_0_194,plain,
composition(converse(one),one) = one,
inference(resolve,[$cnf( $equal(one,composition(converse(one),one)) )],[refute_0_192,refute_0_193]) ).
cnf(refute_0_195,plain,
( composition(converse(one),one) != converse(one)
| composition(converse(one),one) != one
| one = converse(one) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(one),one),converse(one)) ),[0],$fot(one)]]) ).
cnf(refute_0_196,plain,
( composition(converse(one),one) != converse(one)
| one = converse(one) ),
inference(resolve,[$cnf( $equal(composition(converse(one),one),one) )],[refute_0_194,refute_0_195]) ).
cnf(refute_0_197,plain,
one = converse(one),
inference(resolve,[$cnf( $equal(composition(converse(one),one),converse(one)) )],[refute_0_191,refute_0_196]) ).
cnf(refute_0_198,plain,
( one != converse(one)
| converse(one) = one ),
inference(subst,[],[refute_0_4:[bind(X,$fot(one)),bind(Y,$fot(converse(one)))]]) ).
cnf(refute_0_199,plain,
converse(one) = one,
inference(resolve,[$cnf( $equal(one,converse(one)) )],[refute_0_197,refute_0_198]) ).
cnf(refute_0_200,plain,
composition(converse(one),X_8) = composition(converse(one),X_8),
introduced(tautology,[refl,[$fot(composition(converse(one),X_8))]]) ).
cnf(refute_0_201,plain,
( composition(converse(one),X_8) != composition(converse(one),X_8)
| converse(one) != one
| composition(converse(one),X_8) = composition(one,X_8) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(one),X_8),composition(converse(one),X_8)) ),[1,0],$fot(one)]]) ).
cnf(refute_0_202,plain,
( converse(one) != one
| composition(converse(one),X_8) = composition(one,X_8) ),
inference(resolve,[$cnf( $equal(composition(converse(one),X_8),composition(converse(one),X_8)) )],[refute_0_200,refute_0_201]) ).
cnf(refute_0_203,plain,
composition(converse(one),X_8) = composition(one,X_8),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_199,refute_0_202]) ).
cnf(refute_0_204,plain,
( X_8 != composition(converse(one),X_8)
| composition(converse(one),X_8) != composition(one,X_8)
| X_8 = composition(one,X_8) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_8,composition(one,X_8)) ),[0],$fot(composition(converse(one),X_8))]]) ).
cnf(refute_0_205,plain,
( X_8 != composition(converse(one),X_8)
| X_8 = composition(one,X_8) ),
inference(resolve,[$cnf( $equal(composition(converse(one),X_8),composition(one,X_8)) )],[refute_0_203,refute_0_204]) ).
cnf(refute_0_206,plain,
X_8 = composition(one,X_8),
inference(resolve,[$cnf( $equal(X_8,composition(converse(one),X_8)) )],[refute_0_190,refute_0_205]) ).
cnf(refute_0_207,plain,
X_33 = composition(one,X_33),
inference(subst,[],[refute_0_206:[bind(X_8,$fot(X_33))]]) ).
cnf(refute_0_208,plain,
( X_33 != composition(one,X_33)
| composition(one,X_33) = X_33 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(X_33)),bind(Y,$fot(composition(one,X_33)))]]) ).
cnf(refute_0_209,plain,
composition(one,X_33) = X_33,
inference(resolve,[$cnf( $equal(X_33,composition(one,X_33)) )],[refute_0_207,refute_0_208]) ).
cnf(refute_0_210,plain,
( composition(one,X_33) != X_33
| join(complement(X_33),composition(converse(one),complement(composition(one,X_33)))) != complement(X_33)
| join(complement(X_33),composition(converse(one),complement(X_33))) = complement(X_33) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_33),composition(converse(one),complement(composition(one,X_33)))),complement(X_33)) ),[0,1,1,0],$fot(X_33)]]) ).
cnf(refute_0_211,plain,
( join(complement(X_33),composition(converse(one),complement(composition(one,X_33)))) != complement(X_33)
| join(complement(X_33),composition(converse(one),complement(X_33))) = complement(X_33) ),
inference(resolve,[$cnf( $equal(composition(one,X_33),X_33) )],[refute_0_209,refute_0_210]) ).
cnf(refute_0_212,plain,
join(complement(X_33),composition(converse(one),complement(X_33))) = complement(X_33),
inference(resolve,[$cnf( $equal(join(complement(X_33),composition(converse(one),complement(composition(one,X_33)))),complement(X_33)) )],[refute_0_174,refute_0_211]) ).
cnf(refute_0_213,plain,
( X_8 != composition(one,X_8)
| composition(one,X_8) = X_8 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(X_8)),bind(Y,$fot(composition(one,X_8)))]]) ).
cnf(refute_0_214,plain,
composition(one,X_8) = X_8,
inference(resolve,[$cnf( $equal(X_8,composition(one,X_8)) )],[refute_0_206,refute_0_213]) ).
cnf(refute_0_215,plain,
composition(one,complement(X_33)) = complement(X_33),
inference(subst,[],[refute_0_214:[bind(X_8,$fot(complement(X_33)))]]) ).
cnf(refute_0_216,plain,
composition(converse(one),complement(X_33)) = composition(converse(one),complement(X_33)),
introduced(tautology,[refl,[$fot(composition(converse(one),complement(X_33)))]]) ).
cnf(refute_0_217,plain,
( composition(converse(one),complement(X_33)) != composition(converse(one),complement(X_33))
| converse(one) != one
| composition(converse(one),complement(X_33)) = composition(one,complement(X_33)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(one),complement(X_33)),composition(converse(one),complement(X_33))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_218,plain,
( converse(one) != one
| composition(converse(one),complement(X_33)) = composition(one,complement(X_33)) ),
inference(resolve,[$cnf( $equal(composition(converse(one),complement(X_33)),composition(converse(one),complement(X_33))) )],[refute_0_216,refute_0_217]) ).
cnf(refute_0_219,plain,
composition(converse(one),complement(X_33)) = composition(one,complement(X_33)),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_199,refute_0_218]) ).
cnf(refute_0_220,plain,
( composition(converse(one),complement(X_33)) != composition(one,complement(X_33))
| composition(one,complement(X_33)) != complement(X_33)
| composition(converse(one),complement(X_33)) = complement(X_33) ),
inference(subst,[],[refute_0_25:[bind(X,$fot(composition(converse(one),complement(X_33)))),bind(Y,$fot(composition(one,complement(X_33)))),bind(Z,$fot(complement(X_33)))]]) ).
cnf(refute_0_221,plain,
( composition(one,complement(X_33)) != complement(X_33)
| composition(converse(one),complement(X_33)) = complement(X_33) ),
inference(resolve,[$cnf( $equal(composition(converse(one),complement(X_33)),composition(one,complement(X_33))) )],[refute_0_219,refute_0_220]) ).
cnf(refute_0_222,plain,
composition(converse(one),complement(X_33)) = complement(X_33),
inference(resolve,[$cnf( $equal(composition(one,complement(X_33)),complement(X_33)) )],[refute_0_215,refute_0_221]) ).
cnf(refute_0_223,plain,
join(complement(X_33),composition(converse(one),complement(X_33))) = join(complement(X_33),composition(converse(one),complement(X_33))),
introduced(tautology,[refl,[$fot(join(complement(X_33),composition(converse(one),complement(X_33))))]]) ).
cnf(refute_0_224,plain,
( composition(converse(one),complement(X_33)) != complement(X_33)
| join(complement(X_33),composition(converse(one),complement(X_33))) != join(complement(X_33),composition(converse(one),complement(X_33)))
| join(complement(X_33),composition(converse(one),complement(X_33))) = join(complement(X_33),complement(X_33)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_33),composition(converse(one),complement(X_33))),join(complement(X_33),composition(converse(one),complement(X_33)))) ),[1,1],$fot(complement(X_33))]]) ).
cnf(refute_0_225,plain,
( composition(converse(one),complement(X_33)) != complement(X_33)
| join(complement(X_33),composition(converse(one),complement(X_33))) = join(complement(X_33),complement(X_33)) ),
inference(resolve,[$cnf( $equal(join(complement(X_33),composition(converse(one),complement(X_33))),join(complement(X_33),composition(converse(one),complement(X_33)))) )],[refute_0_223,refute_0_224]) ).
cnf(refute_0_226,plain,
join(complement(X_33),composition(converse(one),complement(X_33))) = join(complement(X_33),complement(X_33)),
inference(resolve,[$cnf( $equal(composition(converse(one),complement(X_33)),complement(X_33)) )],[refute_0_222,refute_0_225]) ).
cnf(refute_0_227,plain,
( join(complement(X_33),composition(converse(one),complement(X_33))) != complement(X_33)
| join(complement(X_33),composition(converse(one),complement(X_33))) != join(complement(X_33),complement(X_33))
| join(complement(X_33),complement(X_33)) = complement(X_33) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_33),composition(converse(one),complement(X_33))),complement(X_33)) ),[0],$fot(join(complement(X_33),complement(X_33)))]]) ).
cnf(refute_0_228,plain,
( join(complement(X_33),composition(converse(one),complement(X_33))) != complement(X_33)
| join(complement(X_33),complement(X_33)) = complement(X_33) ),
inference(resolve,[$cnf( $equal(join(complement(X_33),composition(converse(one),complement(X_33))),join(complement(X_33),complement(X_33))) )],[refute_0_226,refute_0_227]) ).
cnf(refute_0_229,plain,
join(complement(X_33),complement(X_33)) = complement(X_33),
inference(resolve,[$cnf( $equal(join(complement(X_33),composition(converse(one),complement(X_33))),complement(X_33)) )],[refute_0_212,refute_0_228]) ).
cnf(refute_0_230,plain,
join(complement(X_42),complement(X_42)) = complement(X_42),
inference(subst,[],[refute_0_229:[bind(X_33,$fot(X_42))]]) ).
cnf(refute_0_231,plain,
( X_42 != join(meet(X_42,complement(X_42)),complement(join(complement(X_42),complement(X_42))))
| join(complement(X_42),complement(X_42)) != complement(X_42)
| X_42 = join(meet(X_42,complement(X_42)),complement(complement(X_42))) ),
introduced(tautology,[equality,[$cnf( $equal(X_42,join(meet(X_42,complement(X_42)),complement(join(complement(X_42),complement(X_42))))) ),[1,1,0],$fot(complement(X_42))]]) ).
cnf(refute_0_232,plain,
( X_42 != join(meet(X_42,complement(X_42)),complement(join(complement(X_42),complement(X_42))))
| X_42 = join(meet(X_42,complement(X_42)),complement(complement(X_42))) ),
inference(resolve,[$cnf( $equal(join(complement(X_42),complement(X_42)),complement(X_42)) )],[refute_0_230,refute_0_231]) ).
cnf(refute_0_233,plain,
X_42 = join(meet(X_42,complement(X_42)),complement(complement(X_42))),
inference(resolve,[$cnf( $equal(X_42,join(meet(X_42,complement(X_42)),complement(join(complement(X_42),complement(X_42))))) )],[refute_0_168,refute_0_232]) ).
cnf(refute_0_234,plain,
join(complement(complement(X_42)),zero) = join(zero,complement(complement(X_42))),
inference(subst,[],[refute_0_6:[bind(X0,$fot(zero)),bind(X1,$fot(complement(complement(X_42))))]]) ).
cnf(refute_0_235,plain,
( zero != meet(X0,complement(X0))
| meet(X0,complement(X0)) = zero ),
inference(subst,[],[refute_0_4:[bind(X,$fot(zero)),bind(Y,$fot(meet(X0,complement(X0))))]]) ).
cnf(refute_0_236,plain,
meet(X0,complement(X0)) = zero,
inference(resolve,[$cnf( $equal(zero,meet(X0,complement(X0))) )],[refute_0_49,refute_0_235]) ).
cnf(refute_0_237,plain,
meet(X_42,complement(X_42)) = zero,
inference(subst,[],[refute_0_236:[bind(X0,$fot(X_42))]]) ).
cnf(refute_0_238,plain,
join(complement(complement(X_42)),meet(X_42,complement(X_42))) = join(complement(complement(X_42)),meet(X_42,complement(X_42))),
introduced(tautology,[refl,[$fot(join(complement(complement(X_42)),meet(X_42,complement(X_42))))]]) ).
cnf(refute_0_239,plain,
( join(complement(complement(X_42)),meet(X_42,complement(X_42))) != join(complement(complement(X_42)),meet(X_42,complement(X_42)))
| meet(X_42,complement(X_42)) != zero
| join(complement(complement(X_42)),meet(X_42,complement(X_42))) = join(complement(complement(X_42)),zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(X_42)),meet(X_42,complement(X_42))),join(complement(complement(X_42)),meet(X_42,complement(X_42)))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_240,plain,
( meet(X_42,complement(X_42)) != zero
| join(complement(complement(X_42)),meet(X_42,complement(X_42))) = join(complement(complement(X_42)),zero) ),
inference(resolve,[$cnf( $equal(join(complement(complement(X_42)),meet(X_42,complement(X_42))),join(complement(complement(X_42)),meet(X_42,complement(X_42)))) )],[refute_0_238,refute_0_239]) ).
cnf(refute_0_241,plain,
join(complement(complement(X_42)),meet(X_42,complement(X_42))) = join(complement(complement(X_42)),zero),
inference(resolve,[$cnf( $equal(meet(X_42,complement(X_42)),zero) )],[refute_0_237,refute_0_240]) ).
cnf(refute_0_242,plain,
( join(complement(complement(X_42)),meet(X_42,complement(X_42))) != join(complement(complement(X_42)),zero)
| join(complement(complement(X_42)),zero) != join(zero,complement(complement(X_42)))
| join(complement(complement(X_42)),meet(X_42,complement(X_42))) = join(zero,complement(complement(X_42))) ),
inference(subst,[],[refute_0_25:[bind(X,$fot(join(complement(complement(X_42)),meet(X_42,complement(X_42))))),bind(Y,$fot(join(complement(complement(X_42)),zero))),bind(Z,$fot(join(zero,complement(complement(X_42)))))]]) ).
cnf(refute_0_243,plain,
( join(complement(complement(X_42)),zero) != join(zero,complement(complement(X_42)))
| join(complement(complement(X_42)),meet(X_42,complement(X_42))) = join(zero,complement(complement(X_42))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(X_42)),meet(X_42,complement(X_42))),join(complement(complement(X_42)),zero)) )],[refute_0_241,refute_0_242]) ).
cnf(refute_0_244,plain,
join(complement(complement(X_42)),meet(X_42,complement(X_42))) = join(zero,complement(complement(X_42))),
inference(resolve,[$cnf( $equal(join(complement(complement(X_42)),zero),join(zero,complement(complement(X_42)))) )],[refute_0_234,refute_0_243]) ).
cnf(refute_0_245,plain,
join(meet(X_42,complement(X_42)),complement(complement(X_42))) = join(complement(complement(X_42)),meet(X_42,complement(X_42))),
inference(subst,[],[refute_0_6:[bind(X0,$fot(complement(complement(X_42)))),bind(X1,$fot(meet(X_42,complement(X_42))))]]) ).
cnf(refute_0_246,plain,
( join(complement(complement(X_42)),meet(X_42,complement(X_42))) != join(zero,complement(complement(X_42)))
| join(meet(X_42,complement(X_42)),complement(complement(X_42))) != join(complement(complement(X_42)),meet(X_42,complement(X_42)))
| join(meet(X_42,complement(X_42)),complement(complement(X_42))) = join(zero,complement(complement(X_42))) ),
inference(subst,[],[refute_0_25:[bind(X,$fot(join(meet(X_42,complement(X_42)),complement(complement(X_42))))),bind(Y,$fot(join(complement(complement(X_42)),meet(X_42,complement(X_42))))),bind(Z,$fot(join(zero,complement(complement(X_42)))))]]) ).
cnf(refute_0_247,plain,
( join(complement(complement(X_42)),meet(X_42,complement(X_42))) != join(zero,complement(complement(X_42)))
| join(meet(X_42,complement(X_42)),complement(complement(X_42))) = join(zero,complement(complement(X_42))) ),
inference(resolve,[$cnf( $equal(join(meet(X_42,complement(X_42)),complement(complement(X_42))),join(complement(complement(X_42)),meet(X_42,complement(X_42)))) )],[refute_0_245,refute_0_246]) ).
cnf(refute_0_248,plain,
join(meet(X_42,complement(X_42)),complement(complement(X_42))) = join(zero,complement(complement(X_42))),
inference(resolve,[$cnf( $equal(join(complement(complement(X_42)),meet(X_42,complement(X_42))),join(zero,complement(complement(X_42)))) )],[refute_0_244,refute_0_247]) ).
cnf(refute_0_249,plain,
( X_42 != join(meet(X_42,complement(X_42)),complement(complement(X_42)))
| join(meet(X_42,complement(X_42)),complement(complement(X_42))) != join(zero,complement(complement(X_42)))
| X_42 = join(zero,complement(complement(X_42))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_42,join(zero,complement(complement(X_42)))) ),[0],$fot(join(meet(X_42,complement(X_42)),complement(complement(X_42))))]]) ).
cnf(refute_0_250,plain,
( X_42 != join(meet(X_42,complement(X_42)),complement(complement(X_42)))
| X_42 = join(zero,complement(complement(X_42))) ),
inference(resolve,[$cnf( $equal(join(meet(X_42,complement(X_42)),complement(complement(X_42))),join(zero,complement(complement(X_42)))) )],[refute_0_248,refute_0_249]) ).
cnf(refute_0_251,plain,
X_42 = join(zero,complement(complement(X_42))),
inference(resolve,[$cnf( $equal(X_42,join(meet(X_42,complement(X_42)),complement(complement(X_42)))) )],[refute_0_233,refute_0_250]) ).
cnf(refute_0_252,plain,
X_44 = join(zero,complement(complement(X_44))),
inference(subst,[],[refute_0_251:[bind(X_42,$fot(X_44))]]) ).
cnf(refute_0_253,plain,
( X_44 != join(zero,complement(complement(X_44)))
| join(zero,complement(complement(X_44))) = X_44 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(X_44)),bind(Y,$fot(join(zero,complement(complement(X_44)))))]]) ).
cnf(refute_0_254,plain,
join(zero,complement(complement(X_44))) = X_44,
inference(resolve,[$cnf( $equal(X_44,join(zero,complement(complement(X_44)))) )],[refute_0_252,refute_0_253]) ).
cnf(refute_0_255,plain,
( join(zero,complement(complement(X_44))) != X_44
| meet(top,complement(X_44)) != complement(join(zero,complement(complement(X_44))))
| meet(top,complement(X_44)) = complement(X_44) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,complement(X_44)),complement(join(zero,complement(complement(X_44))))) ),[1,0],$fot(X_44)]]) ).
cnf(refute_0_256,plain,
( meet(top,complement(X_44)) != complement(join(zero,complement(complement(X_44))))
| meet(top,complement(X_44)) = complement(X_44) ),
inference(resolve,[$cnf( $equal(join(zero,complement(complement(X_44))),X_44) )],[refute_0_254,refute_0_255]) ).
cnf(refute_0_257,plain,
meet(top,complement(X_44)) = complement(X_44),
inference(resolve,[$cnf( $equal(meet(top,complement(X_44)),complement(join(zero,complement(complement(X_44))))) )],[refute_0_167,refute_0_256]) ).
cnf(refute_0_258,plain,
meet(top,complement(complement(top))) = complement(complement(top)),
inference(subst,[],[refute_0_257:[bind(X_44,$fot(complement(top)))]]) ).
cnf(refute_0_259,plain,
meet(X0,top) = complement(join(complement(X0),complement(top))),
inference(subst,[],[refute_0_17:[bind(X1,$fot(top))]]) ).
cnf(refute_0_260,plain,
( complement(top) != zero
| meet(X0,top) != complement(join(complement(X0),complement(top)))
| meet(X0,top) = complement(join(complement(X0),zero)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X0,top),complement(join(complement(X0),complement(top)))) ),[1,0,1],$fot(zero)]]) ).
cnf(refute_0_261,plain,
( meet(X0,top) != complement(join(complement(X0),complement(top)))
| meet(X0,top) = complement(join(complement(X0),zero)) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_73,refute_0_260]) ).
cnf(refute_0_262,plain,
meet(X0,top) = complement(join(complement(X0),zero)),
inference(resolve,[$cnf( $equal(meet(X0,top),complement(join(complement(X0),complement(top)))) )],[refute_0_259,refute_0_261]) ).
cnf(refute_0_263,plain,
( meet(top,X1) != complement(join(zero,complement(X1)))
| complement(join(zero,complement(X1))) = meet(top,X1) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(meet(top,X1))),bind(Y,$fot(complement(join(zero,complement(X1)))))]]) ).
cnf(refute_0_264,plain,
complement(join(zero,complement(X1))) = meet(top,X1),
inference(resolve,[$cnf( $equal(meet(top,X1),complement(join(zero,complement(X1)))) )],[refute_0_166,refute_0_263]) ).
cnf(refute_0_265,plain,
complement(join(zero,complement(X0))) = meet(top,X0),
inference(subst,[],[refute_0_264:[bind(X1,$fot(X0))]]) ).
cnf(refute_0_266,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_267,plain,
complement(join(complement(X0),zero)) = complement(join(complement(X0),zero)),
introduced(tautology,[refl,[$fot(complement(join(complement(X0),zero)))]]) ).
cnf(refute_0_268,plain,
( complement(join(complement(X0),zero)) != complement(join(complement(X0),zero))
| join(complement(X0),zero) != join(zero,complement(X0))
| complement(join(complement(X0),zero)) = complement(join(zero,complement(X0))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(X0),zero)),complement(join(complement(X0),zero))) ),[1,0],$fot(join(zero,complement(X0)))]]) ).
cnf(refute_0_269,plain,
( join(complement(X0),zero) != join(zero,complement(X0))
| complement(join(complement(X0),zero)) = complement(join(zero,complement(X0))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X0),zero)),complement(join(complement(X0),zero))) )],[refute_0_267,refute_0_268]) ).
cnf(refute_0_270,plain,
complement(join(complement(X0),zero)) = complement(join(zero,complement(X0))),
inference(resolve,[$cnf( $equal(join(complement(X0),zero),join(zero,complement(X0))) )],[refute_0_266,refute_0_269]) ).
cnf(refute_0_271,plain,
( complement(join(complement(X0),zero)) != complement(join(zero,complement(X0)))
| complement(join(zero,complement(X0))) != meet(top,X0)
| complement(join(complement(X0),zero)) = meet(top,X0) ),
inference(subst,[],[refute_0_25:[bind(X,$fot(complement(join(complement(X0),zero)))),bind(Y,$fot(complement(join(zero,complement(X0))))),bind(Z,$fot(meet(top,X0)))]]) ).
cnf(refute_0_272,plain,
( complement(join(zero,complement(X0))) != meet(top,X0)
| complement(join(complement(X0),zero)) = meet(top,X0) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X0),zero)),complement(join(zero,complement(X0)))) )],[refute_0_270,refute_0_271]) ).
cnf(refute_0_273,plain,
complement(join(complement(X0),zero)) = meet(top,X0),
inference(resolve,[$cnf( $equal(complement(join(zero,complement(X0))),meet(top,X0)) )],[refute_0_265,refute_0_272]) ).
cnf(refute_0_274,plain,
( complement(join(complement(X0),zero)) != meet(top,X0)
| meet(X0,top) != complement(join(complement(X0),zero))
| meet(X0,top) = meet(top,X0) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X0,top),complement(join(complement(X0),zero))) ),[1],$fot(meet(top,X0))]]) ).
cnf(refute_0_275,plain,
( meet(X0,top) != complement(join(complement(X0),zero))
| meet(X0,top) = meet(top,X0) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X0),zero)),meet(top,X0)) )],[refute_0_273,refute_0_274]) ).
cnf(refute_0_276,plain,
meet(X0,top) = meet(top,X0),
inference(resolve,[$cnf( $equal(meet(X0,top),complement(join(complement(X0),zero))) )],[refute_0_262,refute_0_275]) ).
cnf(refute_0_277,plain,
meet(complement(complement(top)),top) = meet(top,complement(complement(top))),
inference(subst,[],[refute_0_276:[bind(X0,$fot(complement(complement(top))))]]) ).
cnf(refute_0_278,plain,
( meet(complement(complement(top)),top) != meet(top,complement(complement(top)))
| meet(top,complement(complement(top))) != complement(complement(top))
| meet(complement(complement(top)),top) = complement(complement(top)) ),
inference(subst,[],[refute_0_25:[bind(X,$fot(meet(complement(complement(top)),top))),bind(Y,$fot(meet(top,complement(complement(top))))),bind(Z,$fot(complement(complement(top))))]]) ).
cnf(refute_0_279,plain,
( meet(top,complement(complement(top))) != complement(complement(top))
| meet(complement(complement(top)),top) = complement(complement(top)) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(top)),top),meet(top,complement(complement(top)))) )],[refute_0_277,refute_0_278]) ).
cnf(refute_0_280,plain,
meet(complement(complement(top)),top) = complement(complement(top)),
inference(resolve,[$cnf( $equal(meet(top,complement(complement(top))),complement(complement(top))) )],[refute_0_258,refute_0_279]) ).
cnf(refute_0_281,plain,
( complement(complement(top)) != complement(zero)
| meet(complement(complement(top)),top) != complement(complement(top))
| meet(complement(complement(top)),top) = complement(zero) ),
inference(subst,[],[refute_0_25:[bind(X,$fot(meet(complement(complement(top)),top))),bind(Y,$fot(complement(complement(top)))),bind(Z,$fot(complement(zero)))]]) ).
cnf(refute_0_282,plain,
( complement(complement(top)) != complement(zero)
| meet(complement(complement(top)),top) = complement(zero) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(top)),top),complement(complement(top))) )],[refute_0_280,refute_0_281]) ).
cnf(refute_0_283,plain,
meet(complement(complement(top)),top) = complement(zero),
inference(resolve,[$cnf( $equal(complement(complement(top)),complement(zero)) )],[refute_0_159,refute_0_282]) ).
cnf(refute_0_284,plain,
join(zero,meet(complement(complement(top)),top)) = join(zero,meet(complement(complement(top)),top)),
introduced(tautology,[refl,[$fot(join(zero,meet(complement(complement(top)),top)))]]) ).
cnf(refute_0_285,plain,
( join(zero,meet(complement(complement(top)),top)) != join(zero,meet(complement(complement(top)),top))
| meet(complement(complement(top)),top) != complement(zero)
| join(zero,meet(complement(complement(top)),top)) = join(zero,complement(zero)) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(complement(complement(top)),top)),join(zero,meet(complement(complement(top)),top))) ),[1,1],$fot(complement(zero))]]) ).
cnf(refute_0_286,plain,
( meet(complement(complement(top)),top) != complement(zero)
| join(zero,meet(complement(complement(top)),top)) = join(zero,complement(zero)) ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(complement(top)),top)),join(zero,meet(complement(complement(top)),top))) )],[refute_0_284,refute_0_285]) ).
cnf(refute_0_287,plain,
join(zero,meet(complement(complement(top)),top)) = join(zero,complement(zero)),
inference(resolve,[$cnf( $equal(meet(complement(complement(top)),top),complement(zero)) )],[refute_0_283,refute_0_286]) ).
cnf(refute_0_288,plain,
( join(zero,complement(zero)) != top
| join(zero,meet(complement(complement(top)),top)) != join(zero,complement(zero))
| join(zero,meet(complement(complement(top)),top)) = top ),
inference(subst,[],[refute_0_25:[bind(X,$fot(join(zero,meet(complement(complement(top)),top)))),bind(Y,$fot(join(zero,complement(zero)))),bind(Z,$fot(top))]]) ).
cnf(refute_0_289,plain,
( join(zero,complement(zero)) != top
| join(zero,meet(complement(complement(top)),top)) = top ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(complement(top)),top)),join(zero,complement(zero))) )],[refute_0_287,refute_0_288]) ).
cnf(refute_0_290,plain,
join(zero,meet(complement(complement(top)),top)) = top,
inference(resolve,[$cnf( $equal(join(zero,complement(zero)),top) )],[refute_0_162,refute_0_289]) ).
cnf(refute_0_291,plain,
( complement(zero) != join(zero,meet(complement(complement(top)),top))
| join(zero,meet(complement(complement(top)),top)) != top
| complement(zero) = top ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(zero),top) ),[0],$fot(join(zero,meet(complement(complement(top)),top)))]]) ).
cnf(refute_0_292,plain,
( complement(zero) != join(zero,meet(complement(complement(top)),top))
| complement(zero) = top ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(complement(top)),top)),top) )],[refute_0_290,refute_0_291]) ).
cnf(refute_0_293,plain,
( complement(complement(top)) != join(zero,meet(complement(complement(top)),top))
| complement(zero) = top ),
inference(resolve,[$cnf( $equal(complement(zero),join(zero,meet(complement(complement(top)),top))) )],[refute_0_161,refute_0_292]) ).
cnf(refute_0_294,plain,
complement(zero) = top,
inference(resolve,[$cnf( $equal(complement(complement(top)),join(zero,meet(complement(complement(top)),top))) )],[refute_0_155,refute_0_293]) ).
cnf(refute_0_295,plain,
( complement(zero) != top
| meet(X0,zero) != complement(join(complement(X0),complement(zero)))
| meet(X0,zero) = complement(join(complement(X0),top)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X0,zero),complement(join(complement(X0),complement(zero)))) ),[1,0,1],$fot(top)]]) ).
cnf(refute_0_296,plain,
( meet(X0,zero) != complement(join(complement(X0),complement(zero)))
| meet(X0,zero) = complement(join(complement(X0),top)) ),
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_294,refute_0_295]) ).
cnf(refute_0_297,plain,
meet(X0,zero) = complement(join(complement(X0),top)),
inference(resolve,[$cnf( $equal(meet(X0,zero),complement(join(complement(X0),complement(zero)))) )],[refute_0_95,refute_0_296]) ).
cnf(refute_0_298,plain,
top = join(complement(X_15),join(complement(X_15),meet(X_15,X_15))),
inference(subst,[],[refute_0_47:[bind(X_14,$fot(X_15))]]) ).
cnf(refute_0_299,plain,
meet(X1,X1) = complement(join(complement(X1),complement(X1))),
inference(subst,[],[refute_0_17:[bind(X0,$fot(X1))]]) ).
cnf(refute_0_300,plain,
join(complement(X1),complement(X1)) = complement(X1),
inference(subst,[],[refute_0_229:[bind(X_33,$fot(X1))]]) ).
cnf(refute_0_301,plain,
( join(complement(X1),complement(X1)) != complement(X1)
| meet(X1,X1) != complement(join(complement(X1),complement(X1)))
| meet(X1,X1) = complement(complement(X1)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X1,X1),complement(join(complement(X1),complement(X1)))) ),[1,0],$fot(complement(X1))]]) ).
cnf(refute_0_302,plain,
( meet(X1,X1) != complement(join(complement(X1),complement(X1)))
| meet(X1,X1) = complement(complement(X1)) ),
inference(resolve,[$cnf( $equal(join(complement(X1),complement(X1)),complement(X1)) )],[refute_0_300,refute_0_301]) ).
cnf(refute_0_303,plain,
meet(X1,X1) = complement(complement(X1)),
inference(resolve,[$cnf( $equal(meet(X1,X1),complement(join(complement(X1),complement(X1)))) )],[refute_0_299,refute_0_302]) ).
cnf(refute_0_304,plain,
meet(X_15,X_15) = complement(complement(X_15)),
inference(subst,[],[refute_0_303:[bind(X1,$fot(X_15))]]) ).
cnf(refute_0_305,plain,
( meet(X_15,X_15) != complement(complement(X_15))
| top != join(complement(X_15),join(complement(X_15),meet(X_15,X_15)))
| top = join(complement(X_15),join(complement(X_15),complement(complement(X_15)))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(X_15),join(complement(X_15),meet(X_15,X_15)))) ),[1,1,1],$fot(complement(complement(X_15)))]]) ).
cnf(refute_0_306,plain,
( top != join(complement(X_15),join(complement(X_15),meet(X_15,X_15)))
| top = join(complement(X_15),join(complement(X_15),complement(complement(X_15)))) ),
inference(resolve,[$cnf( $equal(meet(X_15,X_15),complement(complement(X_15))) )],[refute_0_304,refute_0_305]) ).
cnf(refute_0_307,plain,
top = join(complement(X_15),join(complement(X_15),complement(complement(X_15)))),
inference(resolve,[$cnf( $equal(top,join(complement(X_15),join(complement(X_15),meet(X_15,X_15)))) )],[refute_0_298,refute_0_306]) ).
cnf(refute_0_308,plain,
join(complement(X_15),top) = join(top,complement(X_15)),
inference(subst,[],[refute_0_6:[bind(X0,$fot(top)),bind(X1,$fot(complement(X_15)))]]) ).
cnf(refute_0_309,plain,
join(complement(X_15),complement(complement(X_15))) = top,
inference(subst,[],[refute_0_55:[bind(X0,$fot(complement(X_15)))]]) ).
cnf(refute_0_310,plain,
join(complement(X_15),join(complement(X_15),complement(complement(X_15)))) = join(complement(X_15),join(complement(X_15),complement(complement(X_15)))),
introduced(tautology,[refl,[$fot(join(complement(X_15),join(complement(X_15),complement(complement(X_15)))))]]) ).
cnf(refute_0_311,plain,
( join(complement(X_15),complement(complement(X_15))) != top
| join(complement(X_15),join(complement(X_15),complement(complement(X_15)))) != join(complement(X_15),join(complement(X_15),complement(complement(X_15))))
| join(complement(X_15),join(complement(X_15),complement(complement(X_15)))) = join(complement(X_15),top) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_15),join(complement(X_15),complement(complement(X_15)))),join(complement(X_15),join(complement(X_15),complement(complement(X_15))))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_312,plain,
( join(complement(X_15),complement(complement(X_15))) != top
| join(complement(X_15),join(complement(X_15),complement(complement(X_15)))) = join(complement(X_15),top) ),
inference(resolve,[$cnf( $equal(join(complement(X_15),join(complement(X_15),complement(complement(X_15)))),join(complement(X_15),join(complement(X_15),complement(complement(X_15))))) )],[refute_0_310,refute_0_311]) ).
cnf(refute_0_313,plain,
join(complement(X_15),join(complement(X_15),complement(complement(X_15)))) = join(complement(X_15),top),
inference(resolve,[$cnf( $equal(join(complement(X_15),complement(complement(X_15))),top) )],[refute_0_309,refute_0_312]) ).
cnf(refute_0_314,plain,
( join(complement(X_15),join(complement(X_15),complement(complement(X_15)))) != join(complement(X_15),top)
| join(complement(X_15),top) != join(top,complement(X_15))
| join(complement(X_15),join(complement(X_15),complement(complement(X_15)))) = join(top,complement(X_15)) ),
inference(subst,[],[refute_0_25:[bind(X,$fot(join(complement(X_15),join(complement(X_15),complement(complement(X_15)))))),bind(Y,$fot(join(complement(X_15),top))),bind(Z,$fot(join(top,complement(X_15))))]]) ).
cnf(refute_0_315,plain,
( join(complement(X_15),top) != join(top,complement(X_15))
| join(complement(X_15),join(complement(X_15),complement(complement(X_15)))) = join(top,complement(X_15)) ),
inference(resolve,[$cnf( $equal(join(complement(X_15),join(complement(X_15),complement(complement(X_15)))),join(complement(X_15),top)) )],[refute_0_313,refute_0_314]) ).
cnf(refute_0_316,plain,
join(complement(X_15),join(complement(X_15),complement(complement(X_15)))) = join(top,complement(X_15)),
inference(resolve,[$cnf( $equal(join(complement(X_15),top),join(top,complement(X_15))) )],[refute_0_308,refute_0_315]) ).
cnf(refute_0_317,plain,
( join(complement(X_15),join(complement(X_15),complement(complement(X_15)))) != join(top,complement(X_15))
| top != join(complement(X_15),join(complement(X_15),complement(complement(X_15))))
| top = join(top,complement(X_15)) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(X_15),join(complement(X_15),complement(complement(X_15))))) ),[1],$fot(join(top,complement(X_15)))]]) ).
cnf(refute_0_318,plain,
( top != join(complement(X_15),join(complement(X_15),complement(complement(X_15))))
| top = join(top,complement(X_15)) ),
inference(resolve,[$cnf( $equal(join(complement(X_15),join(complement(X_15),complement(complement(X_15)))),join(top,complement(X_15))) )],[refute_0_316,refute_0_317]) ).
cnf(refute_0_319,plain,
top = join(top,complement(X_15)),
inference(resolve,[$cnf( $equal(top,join(complement(X_15),join(complement(X_15),complement(complement(X_15))))) )],[refute_0_307,refute_0_318]) ).
cnf(refute_0_320,plain,
( top != join(top,complement(X_15))
| join(top,complement(X_15)) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(top,complement(X_15))))]]) ).
cnf(refute_0_321,plain,
join(top,complement(X_15)) = top,
inference(resolve,[$cnf( $equal(top,join(top,complement(X_15))) )],[refute_0_319,refute_0_320]) ).
cnf(refute_0_322,plain,
join(top,complement(X0)) = top,
inference(subst,[],[refute_0_321:[bind(X_15,$fot(X0))]]) ).
cnf(refute_0_323,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_324,plain,
( join(complement(X0),top) != join(top,complement(X0))
| join(top,complement(X0)) != top
| join(complement(X0),top) = top ),
inference(subst,[],[refute_0_25:[bind(X,$fot(join(complement(X0),top))),bind(Y,$fot(join(top,complement(X0)))),bind(Z,$fot(top))]]) ).
cnf(refute_0_325,plain,
( join(top,complement(X0)) != top
| join(complement(X0),top) = top ),
inference(resolve,[$cnf( $equal(join(complement(X0),top),join(top,complement(X0))) )],[refute_0_323,refute_0_324]) ).
cnf(refute_0_326,plain,
join(complement(X0),top) = top,
inference(resolve,[$cnf( $equal(join(top,complement(X0)),top) )],[refute_0_322,refute_0_325]) ).
cnf(refute_0_327,plain,
complement(join(complement(X0),top)) = complement(join(complement(X0),top)),
introduced(tautology,[refl,[$fot(complement(join(complement(X0),top)))]]) ).
cnf(refute_0_328,plain,
( complement(join(complement(X0),top)) != complement(join(complement(X0),top))
| join(complement(X0),top) != top
| complement(join(complement(X0),top)) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(X0),top)),complement(join(complement(X0),top))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_329,plain,
( join(complement(X0),top) != top
| complement(join(complement(X0),top)) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X0),top)),complement(join(complement(X0),top))) )],[refute_0_327,refute_0_328]) ).
cnf(refute_0_330,plain,
complement(join(complement(X0),top)) = complement(top),
inference(resolve,[$cnf( $equal(join(complement(X0),top),top) )],[refute_0_326,refute_0_329]) ).
cnf(refute_0_331,plain,
( complement(join(complement(X0),top)) != complement(top)
| complement(top) != zero
| complement(join(complement(X0),top)) = zero ),
inference(subst,[],[refute_0_25:[bind(X,$fot(complement(join(complement(X0),top)))),bind(Y,$fot(complement(top))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_332,plain,
( complement(top) != zero
| complement(join(complement(X0),top)) = zero ),
inference(resolve,[$cnf( $equal(complement(join(complement(X0),top)),complement(top)) )],[refute_0_330,refute_0_331]) ).
cnf(refute_0_333,plain,
complement(join(complement(X0),top)) = zero,
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_73,refute_0_332]) ).
cnf(refute_0_334,plain,
( complement(join(complement(X0),top)) != zero
| meet(X0,zero) != complement(join(complement(X0),top))
| meet(X0,zero) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(X0,zero),complement(join(complement(X0),top))) ),[1],$fot(zero)]]) ).
cnf(refute_0_335,plain,
( meet(X0,zero) != complement(join(complement(X0),top))
| meet(X0,zero) = zero ),
inference(resolve,[$cnf( $equal(complement(join(complement(X0),top)),zero) )],[refute_0_333,refute_0_334]) ).
cnf(refute_0_336,plain,
meet(X0,zero) = zero,
inference(resolve,[$cnf( $equal(meet(X0,zero),complement(join(complement(X0),top))) )],[refute_0_297,refute_0_335]) ).
cnf(refute_0_337,plain,
( X0 != join(meet(X0,zero),complement(join(complement(X0),zero)))
| meet(X0,zero) != zero
| X0 = join(zero,complement(join(complement(X0),zero))) ),
introduced(tautology,[equality,[$cnf( $equal(X0,join(meet(X0,zero),complement(join(complement(X0),zero)))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_338,plain,
( X0 != join(meet(X0,zero),complement(join(complement(X0),zero)))
| X0 = join(zero,complement(join(complement(X0),zero))) ),
inference(resolve,[$cnf( $equal(meet(X0,zero),zero) )],[refute_0_336,refute_0_337]) ).
cnf(refute_0_339,plain,
X0 = join(zero,complement(join(complement(X0),zero))),
inference(resolve,[$cnf( $equal(X0,join(meet(X0,zero),complement(join(complement(X0),zero)))) )],[refute_0_94,refute_0_338]) ).
cnf(refute_0_340,plain,
join(zero,complement(join(complement(X0),zero))) = join(zero,complement(join(complement(X0),zero))),
introduced(tautology,[refl,[$fot(join(zero,complement(join(complement(X0),zero))))]]) ).
cnf(refute_0_341,plain,
( complement(join(complement(X0),zero)) != meet(top,X0)
| join(zero,complement(join(complement(X0),zero))) != join(zero,complement(join(complement(X0),zero)))
| join(zero,complement(join(complement(X0),zero))) = join(zero,meet(top,X0)) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,complement(join(complement(X0),zero))),join(zero,complement(join(complement(X0),zero)))) ),[1,1],$fot(meet(top,X0))]]) ).
cnf(refute_0_342,plain,
( complement(join(complement(X0),zero)) != meet(top,X0)
| join(zero,complement(join(complement(X0),zero))) = join(zero,meet(top,X0)) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(complement(X0),zero))),join(zero,complement(join(complement(X0),zero)))) )],[refute_0_340,refute_0_341]) ).
cnf(refute_0_343,plain,
join(zero,complement(join(complement(X0),zero))) = join(zero,meet(top,X0)),
inference(resolve,[$cnf( $equal(complement(join(complement(X0),zero)),meet(top,X0)) )],[refute_0_273,refute_0_342]) ).
cnf(refute_0_344,plain,
( X0 != join(zero,complement(join(complement(X0),zero)))
| join(zero,complement(join(complement(X0),zero))) != join(zero,meet(top,X0))
| X0 = join(zero,meet(top,X0)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X0,join(zero,meet(top,X0))) ),[0],$fot(join(zero,complement(join(complement(X0),zero))))]]) ).
cnf(refute_0_345,plain,
( X0 != join(zero,complement(join(complement(X0),zero)))
| X0 = join(zero,meet(top,X0)) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(complement(X0),zero))),join(zero,meet(top,X0))) )],[refute_0_343,refute_0_344]) ).
cnf(refute_0_346,plain,
X0 = join(zero,meet(top,X0)),
inference(resolve,[$cnf( $equal(X0,join(zero,complement(join(complement(X0),zero)))) )],[refute_0_339,refute_0_345]) ).
cnf(refute_0_347,plain,
complement(X_44) = join(zero,meet(top,complement(X_44))),
inference(subst,[],[refute_0_346:[bind(X0,$fot(complement(X_44)))]]) ).
cnf(refute_0_348,plain,
( complement(X_44) != join(zero,meet(top,complement(X_44)))
| meet(top,complement(X_44)) != complement(X_44)
| complement(X_44) = join(zero,complement(X_44)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(X_44),join(zero,meet(top,complement(X_44)))) ),[1,1],$fot(complement(X_44))]]) ).
cnf(refute_0_349,plain,
( complement(X_44) != join(zero,meet(top,complement(X_44)))
| complement(X_44) = join(zero,complement(X_44)) ),
inference(resolve,[$cnf( $equal(meet(top,complement(X_44)),complement(X_44)) )],[refute_0_257,refute_0_348]) ).
cnf(refute_0_350,plain,
complement(X_44) = join(zero,complement(X_44)),
inference(resolve,[$cnf( $equal(complement(X_44),join(zero,meet(top,complement(X_44)))) )],[refute_0_347,refute_0_349]) ).
cnf(refute_0_351,plain,
( complement(X_44) != join(zero,complement(X_44))
| join(zero,complement(X_44)) = complement(X_44) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(complement(X_44))),bind(Y,$fot(join(zero,complement(X_44))))]]) ).
cnf(refute_0_352,plain,
join(zero,complement(X_44)) = complement(X_44),
inference(resolve,[$cnf( $equal(complement(X_44),join(zero,complement(X_44))) )],[refute_0_350,refute_0_351]) ).
cnf(refute_0_353,plain,
join(zero,complement(complement(X_42))) = complement(complement(X_42)),
inference(subst,[],[refute_0_352:[bind(X_44,$fot(complement(X_42)))]]) ).
cnf(refute_0_354,plain,
meet(X_42,X_42) = complement(complement(X_42)),
inference(subst,[],[refute_0_303:[bind(X1,$fot(X_42))]]) ).
cnf(refute_0_355,plain,
X_55 = join(zero,meet(top,X_55)),
inference(subst,[],[refute_0_346:[bind(X0,$fot(X_55))]]) ).
cnf(refute_0_356,plain,
meet(X_55,top) = meet(top,X_55),
inference(subst,[],[refute_0_107:[bind(X_14,$fot(X_55)),bind(X_15,$fot(top))]]) ).
cnf(refute_0_357,plain,
( meet(X_55,top) != meet(top,X_55)
| meet(top,X_55) = meet(X_55,top) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(meet(X_55,top))),bind(Y,$fot(meet(top,X_55)))]]) ).
cnf(refute_0_358,plain,
meet(top,X_55) = meet(X_55,top),
inference(resolve,[$cnf( $equal(meet(X_55,top),meet(top,X_55)) )],[refute_0_356,refute_0_357]) ).
cnf(refute_0_359,plain,
( X_55 != join(zero,meet(top,X_55))
| meet(top,X_55) != meet(X_55,top)
| X_55 = join(zero,meet(X_55,top)) ),
introduced(tautology,[equality,[$cnf( $equal(X_55,join(zero,meet(top,X_55))) ),[1,1],$fot(meet(X_55,top))]]) ).
cnf(refute_0_360,plain,
( X_55 != join(zero,meet(top,X_55))
| X_55 = join(zero,meet(X_55,top)) ),
inference(resolve,[$cnf( $equal(meet(top,X_55),meet(X_55,top)) )],[refute_0_358,refute_0_359]) ).
cnf(refute_0_361,plain,
X_55 = join(zero,meet(X_55,top)),
inference(resolve,[$cnf( $equal(X_55,join(zero,meet(top,X_55))) )],[refute_0_355,refute_0_360]) ).
cnf(refute_0_362,plain,
( X_55 != join(zero,meet(X_55,top))
| join(zero,meet(X_55,top)) = X_55 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(X_55)),bind(Y,$fot(join(zero,meet(X_55,top))))]]) ).
cnf(refute_0_363,plain,
join(zero,meet(X_55,top)) = X_55,
inference(resolve,[$cnf( $equal(X_55,join(zero,meet(X_55,top))) )],[refute_0_361,refute_0_362]) ).
cnf(refute_0_364,plain,
join(zero,meet(X_42,top)) = X_42,
inference(subst,[],[refute_0_363:[bind(X_55,$fot(X_42))]]) ).
cnf(refute_0_365,plain,
meet(X_42,join(zero,meet(X_42,top))) = meet(X_42,join(zero,meet(X_42,top))),
introduced(tautology,[refl,[$fot(meet(X_42,join(zero,meet(X_42,top))))]]) ).
cnf(refute_0_366,plain,
( join(zero,meet(X_42,top)) != X_42
| meet(X_42,join(zero,meet(X_42,top))) != meet(X_42,join(zero,meet(X_42,top)))
| meet(X_42,join(zero,meet(X_42,top))) = meet(X_42,X_42) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_42,join(zero,meet(X_42,top))),meet(X_42,join(zero,meet(X_42,top)))) ),[1,1],$fot(X_42)]]) ).
cnf(refute_0_367,plain,
( join(zero,meet(X_42,top)) != X_42
| meet(X_42,join(zero,meet(X_42,top))) = meet(X_42,X_42) ),
inference(resolve,[$cnf( $equal(meet(X_42,join(zero,meet(X_42,top))),meet(X_42,join(zero,meet(X_42,top)))) )],[refute_0_365,refute_0_366]) ).
cnf(refute_0_368,plain,
meet(X_42,join(zero,meet(X_42,top))) = meet(X_42,X_42),
inference(resolve,[$cnf( $equal(join(zero,meet(X_42,top)),X_42) )],[refute_0_364,refute_0_367]) ).
cnf(refute_0_369,plain,
( meet(X_42,X_42) != complement(complement(X_42))
| meet(X_42,join(zero,meet(X_42,top))) != meet(X_42,X_42)
| meet(X_42,join(zero,meet(X_42,top))) = complement(complement(X_42)) ),
inference(subst,[],[refute_0_25:[bind(X,$fot(meet(X_42,join(zero,meet(X_42,top))))),bind(Y,$fot(meet(X_42,X_42))),bind(Z,$fot(complement(complement(X_42))))]]) ).
cnf(refute_0_370,plain,
( meet(X_42,X_42) != complement(complement(X_42))
| meet(X_42,join(zero,meet(X_42,top))) = complement(complement(X_42)) ),
inference(resolve,[$cnf( $equal(meet(X_42,join(zero,meet(X_42,top))),meet(X_42,X_42)) )],[refute_0_368,refute_0_369]) ).
cnf(refute_0_371,plain,
meet(X_42,join(zero,meet(X_42,top))) = complement(complement(X_42)),
inference(resolve,[$cnf( $equal(meet(X_42,X_42),complement(complement(X_42))) )],[refute_0_354,refute_0_370]) ).
cnf(refute_0_372,plain,
join(zero,meet(X_42,join(zero,meet(X_42,top)))) = join(zero,meet(X_42,join(zero,meet(X_42,top)))),
introduced(tautology,[refl,[$fot(join(zero,meet(X_42,join(zero,meet(X_42,top)))))]]) ).
cnf(refute_0_373,plain,
( join(zero,meet(X_42,join(zero,meet(X_42,top)))) != join(zero,meet(X_42,join(zero,meet(X_42,top))))
| meet(X_42,join(zero,meet(X_42,top))) != complement(complement(X_42))
| join(zero,meet(X_42,join(zero,meet(X_42,top)))) = join(zero,complement(complement(X_42))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(X_42,join(zero,meet(X_42,top)))),join(zero,meet(X_42,join(zero,meet(X_42,top))))) ),[1,1],$fot(complement(complement(X_42)))]]) ).
cnf(refute_0_374,plain,
( meet(X_42,join(zero,meet(X_42,top))) != complement(complement(X_42))
| join(zero,meet(X_42,join(zero,meet(X_42,top)))) = join(zero,complement(complement(X_42))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_42,join(zero,meet(X_42,top)))),join(zero,meet(X_42,join(zero,meet(X_42,top))))) )],[refute_0_372,refute_0_373]) ).
cnf(refute_0_375,plain,
join(zero,meet(X_42,join(zero,meet(X_42,top)))) = join(zero,complement(complement(X_42))),
inference(resolve,[$cnf( $equal(meet(X_42,join(zero,meet(X_42,top))),complement(complement(X_42))) )],[refute_0_371,refute_0_374]) ).
cnf(refute_0_376,plain,
( join(zero,complement(complement(X_42))) != complement(complement(X_42))
| join(zero,meet(X_42,join(zero,meet(X_42,top)))) != join(zero,complement(complement(X_42)))
| join(zero,meet(X_42,join(zero,meet(X_42,top)))) = complement(complement(X_42)) ),
inference(subst,[],[refute_0_25:[bind(X,$fot(join(zero,meet(X_42,join(zero,meet(X_42,top)))))),bind(Y,$fot(join(zero,complement(complement(X_42))))),bind(Z,$fot(complement(complement(X_42))))]]) ).
cnf(refute_0_377,plain,
( join(zero,complement(complement(X_42))) != complement(complement(X_42))
| join(zero,meet(X_42,join(zero,meet(X_42,top)))) = complement(complement(X_42)) ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_42,join(zero,meet(X_42,top)))),join(zero,complement(complement(X_42)))) )],[refute_0_375,refute_0_376]) ).
cnf(refute_0_378,plain,
join(zero,meet(X_42,join(zero,meet(X_42,top)))) = complement(complement(X_42)),
inference(resolve,[$cnf( $equal(join(zero,complement(complement(X_42))),complement(complement(X_42))) )],[refute_0_353,refute_0_377]) ).
cnf(refute_0_379,plain,
( X_42 != join(zero,meet(X_42,join(zero,meet(X_42,top))))
| join(zero,meet(X_42,join(zero,meet(X_42,top)))) != complement(complement(X_42))
| X_42 = complement(complement(X_42)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_42,complement(complement(X_42))) ),[0],$fot(join(zero,meet(X_42,join(zero,meet(X_42,top)))))]]) ).
cnf(refute_0_380,plain,
( X_42 != join(zero,meet(X_42,join(zero,meet(X_42,top))))
| X_42 = complement(complement(X_42)) ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_42,join(zero,meet(X_42,top)))),complement(complement(X_42))) )],[refute_0_378,refute_0_379]) ).
cnf(refute_0_381,plain,
X_42 = complement(complement(X_42)),
inference(resolve,[$cnf( $equal(X_42,join(zero,meet(X_42,join(zero,meet(X_42,top))))) )],[refute_0_93,refute_0_380]) ).
cnf(refute_0_382,plain,
join(X_297,complement(X_296)) = complement(complement(join(X_297,complement(X_296)))),
inference(subst,[],[refute_0_381:[bind(X_42,$fot(join(X_297,complement(X_296))))]]) ).
cnf(refute_0_383,plain,
meet(join(zero,complement(X_18)),X1) = complement(join(complement(join(zero,complement(X_18))),complement(X1))),
inference(subst,[],[refute_0_17:[bind(X0,$fot(join(zero,complement(X_18))))]]) ).
cnf(refute_0_384,plain,
meet(top,X_18) = complement(join(zero,complement(X_18))),
inference(subst,[],[refute_0_166:[bind(X1,$fot(X_18))]]) ).
cnf(refute_0_385,plain,
( meet(top,X_18) != complement(join(zero,complement(X_18)))
| complement(join(zero,complement(X_18))) = meet(top,X_18) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(meet(top,X_18))),bind(Y,$fot(complement(join(zero,complement(X_18)))))]]) ).
cnf(refute_0_386,plain,
complement(join(zero,complement(X_18))) = meet(top,X_18),
inference(resolve,[$cnf( $equal(meet(top,X_18),complement(join(zero,complement(X_18)))) )],[refute_0_384,refute_0_385]) ).
cnf(refute_0_387,plain,
( complement(join(zero,complement(X_18))) != meet(top,X_18)
| meet(join(zero,complement(X_18)),X1) != complement(join(complement(join(zero,complement(X_18))),complement(X1)))
| meet(join(zero,complement(X_18)),X1) = complement(join(meet(top,X_18),complement(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(zero,complement(X_18)),X1),complement(join(complement(join(zero,complement(X_18))),complement(X1)))) ),[1,0,0],$fot(meet(top,X_18))]]) ).
cnf(refute_0_388,plain,
( meet(join(zero,complement(X_18)),X1) != complement(join(complement(join(zero,complement(X_18))),complement(X1)))
| meet(join(zero,complement(X_18)),X1) = complement(join(meet(top,X_18),complement(X1))) ),
inference(resolve,[$cnf( $equal(complement(join(zero,complement(X_18))),meet(top,X_18)) )],[refute_0_386,refute_0_387]) ).
cnf(refute_0_389,plain,
meet(join(zero,complement(X_18)),X1) = complement(join(meet(top,X_18),complement(X1))),
inference(resolve,[$cnf( $equal(meet(join(zero,complement(X_18)),X1),complement(join(complement(join(zero,complement(X_18))),complement(X1)))) )],[refute_0_383,refute_0_388]) ).
cnf(refute_0_390,plain,
join(zero,complement(X_18)) = complement(X_18),
inference(subst,[],[refute_0_352:[bind(X_44,$fot(X_18))]]) ).
cnf(refute_0_391,plain,
meet(join(zero,complement(X_18)),X1) = meet(join(zero,complement(X_18)),X1),
introduced(tautology,[refl,[$fot(meet(join(zero,complement(X_18)),X1))]]) ).
cnf(refute_0_392,plain,
( join(zero,complement(X_18)) != complement(X_18)
| meet(join(zero,complement(X_18)),X1) != meet(join(zero,complement(X_18)),X1)
| meet(join(zero,complement(X_18)),X1) = meet(complement(X_18),X1) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(zero,complement(X_18)),X1),meet(join(zero,complement(X_18)),X1)) ),[1,0],$fot(complement(X_18))]]) ).
cnf(refute_0_393,plain,
( join(zero,complement(X_18)) != complement(X_18)
| meet(join(zero,complement(X_18)),X1) = meet(complement(X_18),X1) ),
inference(resolve,[$cnf( $equal(meet(join(zero,complement(X_18)),X1),meet(join(zero,complement(X_18)),X1)) )],[refute_0_391,refute_0_392]) ).
cnf(refute_0_394,plain,
meet(join(zero,complement(X_18)),X1) = meet(complement(X_18),X1),
inference(resolve,[$cnf( $equal(join(zero,complement(X_18)),complement(X_18)) )],[refute_0_390,refute_0_393]) ).
cnf(refute_0_395,plain,
( meet(join(zero,complement(X_18)),X1) != complement(join(meet(top,X_18),complement(X1)))
| meet(join(zero,complement(X_18)),X1) != meet(complement(X_18),X1)
| meet(complement(X_18),X1) = complement(join(meet(top,X_18),complement(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(zero,complement(X_18)),X1),complement(join(meet(top,X_18),complement(X1)))) ),[0],$fot(meet(complement(X_18),X1))]]) ).
cnf(refute_0_396,plain,
( meet(join(zero,complement(X_18)),X1) != complement(join(meet(top,X_18),complement(X1)))
| meet(complement(X_18),X1) = complement(join(meet(top,X_18),complement(X1))) ),
inference(resolve,[$cnf( $equal(meet(join(zero,complement(X_18)),X1),meet(complement(X_18),X1)) )],[refute_0_394,refute_0_395]) ).
cnf(refute_0_397,plain,
( X_42 != complement(complement(X_42))
| complement(complement(X_42)) = X_42 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(X_42)),bind(Y,$fot(complement(complement(X_42))))]]) ).
cnf(refute_0_398,plain,
complement(complement(X_42)) = X_42,
inference(resolve,[$cnf( $equal(X_42,complement(complement(X_42))) )],[refute_0_381,refute_0_397]) ).
cnf(refute_0_399,plain,
complement(complement(X1)) = X1,
inference(subst,[],[refute_0_398:[bind(X_42,$fot(X1))]]) ).
cnf(refute_0_400,plain,
join(zero,complement(X1)) = complement(X1),
inference(subst,[],[refute_0_352:[bind(X_44,$fot(X1))]]) ).
cnf(refute_0_401,plain,
complement(join(zero,complement(X1))) = complement(join(zero,complement(X1))),
introduced(tautology,[refl,[$fot(complement(join(zero,complement(X1))))]]) ).
cnf(refute_0_402,plain,
( complement(join(zero,complement(X1))) != complement(join(zero,complement(X1)))
| join(zero,complement(X1)) != complement(X1)
| complement(join(zero,complement(X1))) = complement(complement(X1)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(zero,complement(X1))),complement(join(zero,complement(X1)))) ),[1,0],$fot(complement(X1))]]) ).
cnf(refute_0_403,plain,
( join(zero,complement(X1)) != complement(X1)
| complement(join(zero,complement(X1))) = complement(complement(X1)) ),
inference(resolve,[$cnf( $equal(complement(join(zero,complement(X1))),complement(join(zero,complement(X1)))) )],[refute_0_401,refute_0_402]) ).
cnf(refute_0_404,plain,
complement(join(zero,complement(X1))) = complement(complement(X1)),
inference(resolve,[$cnf( $equal(join(zero,complement(X1)),complement(X1)) )],[refute_0_400,refute_0_403]) ).
cnf(refute_0_405,plain,
( complement(complement(X1)) != X1
| complement(join(zero,complement(X1))) != complement(complement(X1))
| complement(join(zero,complement(X1))) = X1 ),
inference(subst,[],[refute_0_25:[bind(X,$fot(complement(join(zero,complement(X1))))),bind(Y,$fot(complement(complement(X1)))),bind(Z,$fot(X1))]]) ).
cnf(refute_0_406,plain,
( complement(complement(X1)) != X1
| complement(join(zero,complement(X1))) = X1 ),
inference(resolve,[$cnf( $equal(complement(join(zero,complement(X1))),complement(complement(X1))) )],[refute_0_404,refute_0_405]) ).
cnf(refute_0_407,plain,
complement(join(zero,complement(X1))) = X1,
inference(resolve,[$cnf( $equal(complement(complement(X1)),X1) )],[refute_0_399,refute_0_406]) ).
cnf(refute_0_408,plain,
( complement(join(zero,complement(X1))) != X1
| meet(top,X1) != complement(join(zero,complement(X1)))
| meet(top,X1) = X1 ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,X1),complement(join(zero,complement(X1)))) ),[1],$fot(X1)]]) ).
cnf(refute_0_409,plain,
( meet(top,X1) != complement(join(zero,complement(X1)))
| meet(top,X1) = X1 ),
inference(resolve,[$cnf( $equal(complement(join(zero,complement(X1))),X1) )],[refute_0_407,refute_0_408]) ).
cnf(refute_0_410,plain,
meet(top,X1) = X1,
inference(resolve,[$cnf( $equal(meet(top,X1),complement(join(zero,complement(X1)))) )],[refute_0_166,refute_0_409]) ).
cnf(refute_0_411,plain,
meet(top,X_18) = X_18,
inference(subst,[],[refute_0_410:[bind(X1,$fot(X_18))]]) ).
cnf(refute_0_412,plain,
join(meet(top,X_18),complement(X1)) = join(meet(top,X_18),complement(X1)),
introduced(tautology,[refl,[$fot(join(meet(top,X_18),complement(X1)))]]) ).
cnf(refute_0_413,plain,
( join(meet(top,X_18),complement(X1)) != join(meet(top,X_18),complement(X1))
| meet(top,X_18) != X_18
| join(meet(top,X_18),complement(X1)) = join(X_18,complement(X1)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(top,X_18),complement(X1)),join(meet(top,X_18),complement(X1))) ),[1,0],$fot(X_18)]]) ).
cnf(refute_0_414,plain,
( meet(top,X_18) != X_18
| join(meet(top,X_18),complement(X1)) = join(X_18,complement(X1)) ),
inference(resolve,[$cnf( $equal(join(meet(top,X_18),complement(X1)),join(meet(top,X_18),complement(X1))) )],[refute_0_412,refute_0_413]) ).
cnf(refute_0_415,plain,
join(meet(top,X_18),complement(X1)) = join(X_18,complement(X1)),
inference(resolve,[$cnf( $equal(meet(top,X_18),X_18) )],[refute_0_411,refute_0_414]) ).
cnf(refute_0_416,plain,
complement(join(meet(top,X_18),complement(X1))) = complement(join(meet(top,X_18),complement(X1))),
introduced(tautology,[refl,[$fot(complement(join(meet(top,X_18),complement(X1))))]]) ).
cnf(refute_0_417,plain,
( complement(join(meet(top,X_18),complement(X1))) != complement(join(meet(top,X_18),complement(X1)))
| join(meet(top,X_18),complement(X1)) != join(X_18,complement(X1))
| complement(join(meet(top,X_18),complement(X1))) = complement(join(X_18,complement(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(meet(top,X_18),complement(X1))),complement(join(meet(top,X_18),complement(X1)))) ),[1,0],$fot(join(X_18,complement(X1)))]]) ).
cnf(refute_0_418,plain,
( join(meet(top,X_18),complement(X1)) != join(X_18,complement(X1))
| complement(join(meet(top,X_18),complement(X1))) = complement(join(X_18,complement(X1))) ),
inference(resolve,[$cnf( $equal(complement(join(meet(top,X_18),complement(X1))),complement(join(meet(top,X_18),complement(X1)))) )],[refute_0_416,refute_0_417]) ).
cnf(refute_0_419,plain,
complement(join(meet(top,X_18),complement(X1))) = complement(join(X_18,complement(X1))),
inference(resolve,[$cnf( $equal(join(meet(top,X_18),complement(X1)),join(X_18,complement(X1))) )],[refute_0_415,refute_0_418]) ).
cnf(refute_0_420,plain,
( complement(join(meet(top,X_18),complement(X1))) != complement(join(X_18,complement(X1)))
| meet(complement(X_18),X1) != complement(join(meet(top,X_18),complement(X1)))
| meet(complement(X_18),X1) = complement(join(X_18,complement(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(X_18),X1),complement(join(meet(top,X_18),complement(X1)))) ),[1],$fot(complement(join(X_18,complement(X1))))]]) ).
cnf(refute_0_421,plain,
( meet(complement(X_18),X1) != complement(join(meet(top,X_18),complement(X1)))
| meet(complement(X_18),X1) = complement(join(X_18,complement(X1))) ),
inference(resolve,[$cnf( $equal(complement(join(meet(top,X_18),complement(X1))),complement(join(X_18,complement(X1)))) )],[refute_0_419,refute_0_420]) ).
cnf(refute_0_422,plain,
( meet(join(zero,complement(X_18)),X1) != complement(join(meet(top,X_18),complement(X1)))
| meet(complement(X_18),X1) = complement(join(X_18,complement(X1))) ),
inference(resolve,[$cnf( $equal(meet(complement(X_18),X1),complement(join(meet(top,X_18),complement(X1)))) )],[refute_0_396,refute_0_421]) ).
cnf(refute_0_423,plain,
meet(complement(X_18),X1) = complement(join(X_18,complement(X1))),
inference(resolve,[$cnf( $equal(meet(join(zero,complement(X_18)),X1),complement(join(meet(top,X_18),complement(X1)))) )],[refute_0_389,refute_0_422]) ).
cnf(refute_0_424,plain,
meet(complement(X_297),X_296) = complement(join(X_297,complement(X_296))),
inference(subst,[],[refute_0_423:[bind(X1,$fot(X_296)),bind(X_18,$fot(X_297))]]) ).
cnf(refute_0_425,plain,
( meet(complement(X_297),X_296) != complement(join(X_297,complement(X_296)))
| complement(join(X_297,complement(X_296))) = meet(complement(X_297),X_296) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(meet(complement(X_297),X_296))),bind(Y,$fot(complement(join(X_297,complement(X_296)))))]]) ).
cnf(refute_0_426,plain,
complement(join(X_297,complement(X_296))) = meet(complement(X_297),X_296),
inference(resolve,[$cnf( $equal(meet(complement(X_297),X_296),complement(join(X_297,complement(X_296)))) )],[refute_0_424,refute_0_425]) ).
cnf(refute_0_427,plain,
( complement(join(X_297,complement(X_296))) != meet(complement(X_297),X_296)
| join(X_297,complement(X_296)) != complement(complement(join(X_297,complement(X_296))))
| join(X_297,complement(X_296)) = complement(meet(complement(X_297),X_296)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_297,complement(X_296)),complement(complement(join(X_297,complement(X_296))))) ),[1,0],$fot(meet(complement(X_297),X_296))]]) ).
cnf(refute_0_428,plain,
( join(X_297,complement(X_296)) != complement(complement(join(X_297,complement(X_296))))
| join(X_297,complement(X_296)) = complement(meet(complement(X_297),X_296)) ),
inference(resolve,[$cnf( $equal(complement(join(X_297,complement(X_296))),meet(complement(X_297),X_296)) )],[refute_0_426,refute_0_427]) ).
cnf(refute_0_429,plain,
join(X_297,complement(X_296)) = complement(meet(complement(X_297),X_296)),
inference(resolve,[$cnf( $equal(join(X_297,complement(X_296)),complement(complement(join(X_297,complement(X_296))))) )],[refute_0_382,refute_0_428]) ).
cnf(refute_0_430,plain,
join(X_363,complement(join(complement(X_103),meet(X_103,complement(X_363))))) = complement(meet(complement(X_363),join(complement(X_103),meet(X_103,complement(X_363))))),
inference(subst,[],[refute_0_429:[bind(X_296,$fot(join(complement(X_103),meet(X_103,complement(X_363))))),bind(X_297,$fot(X_363))]]) ).
cnf(refute_0_431,plain,
X_42 = join(meet(X_42,join(complement(X_15),meet(X_42,X_15))),complement(join(complement(X_42),join(complement(X_15),meet(X_42,X_15))))),
inference(subst,[],[refute_0_31:[bind(X0,$fot(X_42)),bind(X1,$fot(join(complement(X_15),meet(X_42,X_15))))]]) ).
cnf(refute_0_432,plain,
top = join(complement(X_42),join(complement(X_15),meet(X_42,X_15))),
inference(subst,[],[refute_0_47:[bind(X_14,$fot(X_42))]]) ).
cnf(refute_0_433,plain,
( top != join(complement(X_42),join(complement(X_15),meet(X_42,X_15)))
| join(complement(X_42),join(complement(X_15),meet(X_42,X_15))) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(complement(X_42),join(complement(X_15),meet(X_42,X_15)))))]]) ).
cnf(refute_0_434,plain,
join(complement(X_42),join(complement(X_15),meet(X_42,X_15))) = top,
inference(resolve,[$cnf( $equal(top,join(complement(X_42),join(complement(X_15),meet(X_42,X_15)))) )],[refute_0_432,refute_0_433]) ).
cnf(refute_0_435,plain,
( X_42 != join(meet(X_42,join(complement(X_15),meet(X_42,X_15))),complement(join(complement(X_42),join(complement(X_15),meet(X_42,X_15)))))
| join(complement(X_42),join(complement(X_15),meet(X_42,X_15))) != top
| X_42 = join(meet(X_42,join(complement(X_15),meet(X_42,X_15))),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(X_42,join(meet(X_42,join(complement(X_15),meet(X_42,X_15))),complement(join(complement(X_42),join(complement(X_15),meet(X_42,X_15)))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_0_436,plain,
( X_42 != join(meet(X_42,join(complement(X_15),meet(X_42,X_15))),complement(join(complement(X_42),join(complement(X_15),meet(X_42,X_15)))))
| X_42 = join(meet(X_42,join(complement(X_15),meet(X_42,X_15))),complement(top)) ),
inference(resolve,[$cnf( $equal(join(complement(X_42),join(complement(X_15),meet(X_42,X_15))),top) )],[refute_0_434,refute_0_435]) ).
cnf(refute_0_437,plain,
X_42 = join(meet(X_42,join(complement(X_15),meet(X_42,X_15))),complement(top)),
inference(resolve,[$cnf( $equal(X_42,join(meet(X_42,join(complement(X_15),meet(X_42,X_15))),complement(join(complement(X_42),join(complement(X_15),meet(X_42,X_15)))))) )],[refute_0_431,refute_0_436]) ).
cnf(refute_0_438,plain,
join(complement(top),meet(X_42,join(complement(X_15),meet(X_42,X_15)))) = join(complement(top),meet(X_42,join(complement(X_15),meet(X_42,X_15)))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(X_42,join(complement(X_15),meet(X_42,X_15)))))]]) ).
cnf(refute_0_439,plain,
( complement(top) != zero
| join(complement(top),meet(X_42,join(complement(X_15),meet(X_42,X_15)))) != join(complement(top),meet(X_42,join(complement(X_15),meet(X_42,X_15))))
| join(complement(top),meet(X_42,join(complement(X_15),meet(X_42,X_15)))) = join(zero,meet(X_42,join(complement(X_15),meet(X_42,X_15)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(X_42,join(complement(X_15),meet(X_42,X_15)))),join(complement(top),meet(X_42,join(complement(X_15),meet(X_42,X_15))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_440,plain,
( complement(top) != zero
| join(complement(top),meet(X_42,join(complement(X_15),meet(X_42,X_15)))) = join(zero,meet(X_42,join(complement(X_15),meet(X_42,X_15)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_42,join(complement(X_15),meet(X_42,X_15)))),join(complement(top),meet(X_42,join(complement(X_15),meet(X_42,X_15))))) )],[refute_0_438,refute_0_439]) ).
cnf(refute_0_441,plain,
join(complement(top),meet(X_42,join(complement(X_15),meet(X_42,X_15)))) = join(zero,meet(X_42,join(complement(X_15),meet(X_42,X_15)))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_73,refute_0_440]) ).
cnf(refute_0_442,plain,
join(meet(X_42,join(complement(X_15),meet(X_42,X_15))),complement(top)) = join(complement(top),meet(X_42,join(complement(X_15),meet(X_42,X_15)))),
inference(subst,[],[refute_0_6:[bind(X0,$fot(complement(top))),bind(X1,$fot(meet(X_42,join(complement(X_15),meet(X_42,X_15)))))]]) ).
cnf(refute_0_443,plain,
( join(complement(top),meet(X_42,join(complement(X_15),meet(X_42,X_15)))) != join(zero,meet(X_42,join(complement(X_15),meet(X_42,X_15))))
| join(meet(X_42,join(complement(X_15),meet(X_42,X_15))),complement(top)) != join(complement(top),meet(X_42,join(complement(X_15),meet(X_42,X_15))))
| join(meet(X_42,join(complement(X_15),meet(X_42,X_15))),complement(top)) = join(zero,meet(X_42,join(complement(X_15),meet(X_42,X_15)))) ),
inference(subst,[],[refute_0_25:[bind(X,$fot(join(meet(X_42,join(complement(X_15),meet(X_42,X_15))),complement(top)))),bind(Y,$fot(join(complement(top),meet(X_42,join(complement(X_15),meet(X_42,X_15)))))),bind(Z,$fot(join(zero,meet(X_42,join(complement(X_15),meet(X_42,X_15))))))]]) ).
cnf(refute_0_444,plain,
( join(complement(top),meet(X_42,join(complement(X_15),meet(X_42,X_15)))) != join(zero,meet(X_42,join(complement(X_15),meet(X_42,X_15))))
| join(meet(X_42,join(complement(X_15),meet(X_42,X_15))),complement(top)) = join(zero,meet(X_42,join(complement(X_15),meet(X_42,X_15)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_42,join(complement(X_15),meet(X_42,X_15))),complement(top)),join(complement(top),meet(X_42,join(complement(X_15),meet(X_42,X_15))))) )],[refute_0_442,refute_0_443]) ).
cnf(refute_0_445,plain,
join(meet(X_42,join(complement(X_15),meet(X_42,X_15))),complement(top)) = join(zero,meet(X_42,join(complement(X_15),meet(X_42,X_15)))),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_42,join(complement(X_15),meet(X_42,X_15)))),join(zero,meet(X_42,join(complement(X_15),meet(X_42,X_15))))) )],[refute_0_441,refute_0_444]) ).
cnf(refute_0_446,plain,
( X_42 != join(meet(X_42,join(complement(X_15),meet(X_42,X_15))),complement(top))
| join(meet(X_42,join(complement(X_15),meet(X_42,X_15))),complement(top)) != join(zero,meet(X_42,join(complement(X_15),meet(X_42,X_15))))
| X_42 = join(zero,meet(X_42,join(complement(X_15),meet(X_42,X_15)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_42,join(zero,meet(X_42,join(complement(X_15),meet(X_42,X_15))))) ),[0],$fot(join(meet(X_42,join(complement(X_15),meet(X_42,X_15))),complement(top)))]]) ).
cnf(refute_0_447,plain,
( X_42 != join(meet(X_42,join(complement(X_15),meet(X_42,X_15))),complement(top))
| X_42 = join(zero,meet(X_42,join(complement(X_15),meet(X_42,X_15)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_42,join(complement(X_15),meet(X_42,X_15))),complement(top)),join(zero,meet(X_42,join(complement(X_15),meet(X_42,X_15))))) )],[refute_0_445,refute_0_446]) ).
cnf(refute_0_448,plain,
X_42 = join(zero,meet(X_42,join(complement(X_15),meet(X_42,X_15)))),
inference(resolve,[$cnf( $equal(X_42,join(meet(X_42,join(complement(X_15),meet(X_42,X_15))),complement(top))) )],[refute_0_437,refute_0_447]) ).
cnf(refute_0_449,plain,
( complement(complement(X1)) != X1
| meet(X1,X1) != complement(complement(X1))
| meet(X1,X1) = X1 ),
introduced(tautology,[equality,[$cnf( $equal(meet(X1,X1),complement(complement(X1))) ),[1],$fot(X1)]]) ).
cnf(refute_0_450,plain,
( meet(X1,X1) != complement(complement(X1))
| meet(X1,X1) = X1 ),
inference(resolve,[$cnf( $equal(complement(complement(X1)),X1) )],[refute_0_399,refute_0_449]) ).
cnf(refute_0_451,plain,
meet(X1,X1) = X1,
inference(resolve,[$cnf( $equal(meet(X1,X1),complement(complement(X1))) )],[refute_0_303,refute_0_450]) ).
cnf(refute_0_452,plain,
meet(X_42,X_42) = X_42,
inference(subst,[],[refute_0_451:[bind(X1,$fot(X_42))]]) ).
cnf(refute_0_453,plain,
meet(X_42,complement(complement(X_42))) = meet(X_42,complement(complement(X_42))),
introduced(tautology,[refl,[$fot(meet(X_42,complement(complement(X_42))))]]) ).
cnf(refute_0_454,plain,
( complement(complement(X_42)) != X_42
| meet(X_42,complement(complement(X_42))) != meet(X_42,complement(complement(X_42)))
| meet(X_42,complement(complement(X_42))) = meet(X_42,X_42) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_42,complement(complement(X_42))),meet(X_42,complement(complement(X_42)))) ),[1,1],$fot(X_42)]]) ).
cnf(refute_0_455,plain,
( complement(complement(X_42)) != X_42
| meet(X_42,complement(complement(X_42))) = meet(X_42,X_42) ),
inference(resolve,[$cnf( $equal(meet(X_42,complement(complement(X_42))),meet(X_42,complement(complement(X_42)))) )],[refute_0_453,refute_0_454]) ).
cnf(refute_0_456,plain,
meet(X_42,complement(complement(X_42))) = meet(X_42,X_42),
inference(resolve,[$cnf( $equal(complement(complement(X_42)),X_42) )],[refute_0_398,refute_0_455]) ).
cnf(refute_0_457,plain,
( meet(X_42,X_42) != X_42
| meet(X_42,complement(complement(X_42))) != meet(X_42,X_42)
| meet(X_42,complement(complement(X_42))) = X_42 ),
inference(subst,[],[refute_0_25:[bind(X,$fot(meet(X_42,complement(complement(X_42))))),bind(Y,$fot(meet(X_42,X_42))),bind(Z,$fot(X_42))]]) ).
cnf(refute_0_458,plain,
( meet(X_42,X_42) != X_42
| meet(X_42,complement(complement(X_42))) = X_42 ),
inference(resolve,[$cnf( $equal(meet(X_42,complement(complement(X_42))),meet(X_42,X_42)) )],[refute_0_456,refute_0_457]) ).
cnf(refute_0_459,plain,
meet(X_42,complement(complement(X_42))) = X_42,
inference(resolve,[$cnf( $equal(meet(X_42,X_42),X_42) )],[refute_0_452,refute_0_458]) ).
cnf(refute_0_460,plain,
join(zero,meet(X_42,complement(complement(X_42)))) = join(zero,meet(X_42,complement(complement(X_42)))),
introduced(tautology,[refl,[$fot(join(zero,meet(X_42,complement(complement(X_42)))))]]) ).
cnf(refute_0_461,plain,
( join(zero,meet(X_42,complement(complement(X_42)))) != join(zero,meet(X_42,complement(complement(X_42))))
| meet(X_42,complement(complement(X_42))) != X_42
| join(zero,meet(X_42,complement(complement(X_42)))) = join(zero,X_42) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(X_42,complement(complement(X_42)))),join(zero,meet(X_42,complement(complement(X_42))))) ),[1,1],$fot(X_42)]]) ).
cnf(refute_0_462,plain,
( meet(X_42,complement(complement(X_42))) != X_42
| join(zero,meet(X_42,complement(complement(X_42)))) = join(zero,X_42) ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_42,complement(complement(X_42)))),join(zero,meet(X_42,complement(complement(X_42))))) )],[refute_0_460,refute_0_461]) ).
cnf(refute_0_463,plain,
join(zero,meet(X_42,complement(complement(X_42)))) = join(zero,X_42),
inference(resolve,[$cnf( $equal(meet(X_42,complement(complement(X_42))),X_42) )],[refute_0_459,refute_0_462]) ).
cnf(refute_0_464,plain,
( X_42 != join(zero,meet(X_42,complement(complement(X_42))))
| join(zero,meet(X_42,complement(complement(X_42)))) != join(zero,X_42)
| X_42 = join(zero,X_42) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_42,join(zero,X_42)) ),[0],$fot(join(zero,meet(X_42,complement(complement(X_42)))))]]) ).
cnf(refute_0_465,plain,
( X_42 != join(zero,meet(X_42,complement(complement(X_42))))
| X_42 = join(zero,X_42) ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_42,complement(complement(X_42)))),join(zero,X_42)) )],[refute_0_463,refute_0_464]) ).
cnf(refute_0_466,plain,
X_42 = join(zero,X_42),
inference(resolve,[$cnf( $equal(X_42,join(zero,meet(X_42,complement(complement(X_42))))) )],[refute_0_149,refute_0_465]) ).
cnf(refute_0_467,plain,
( X_42 != join(zero,X_42)
| join(zero,X_42) = X_42 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(X_42)),bind(Y,$fot(join(zero,X_42)))]]) ).
cnf(refute_0_468,plain,
join(zero,X_42) = X_42,
inference(resolve,[$cnf( $equal(X_42,join(zero,X_42)) )],[refute_0_466,refute_0_467]) ).
cnf(refute_0_469,plain,
join(zero,meet(X_42,join(complement(X_15),meet(X_42,X_15)))) = meet(X_42,join(complement(X_15),meet(X_42,X_15))),
inference(subst,[],[refute_0_468:[bind(X_42,$fot(meet(X_42,join(complement(X_15),meet(X_42,X_15)))))]]) ).
cnf(refute_0_470,plain,
( X_42 != join(zero,meet(X_42,join(complement(X_15),meet(X_42,X_15))))
| join(zero,meet(X_42,join(complement(X_15),meet(X_42,X_15)))) != meet(X_42,join(complement(X_15),meet(X_42,X_15)))
| X_42 = meet(X_42,join(complement(X_15),meet(X_42,X_15))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_42,meet(X_42,join(complement(X_15),meet(X_42,X_15)))) ),[0],$fot(join(zero,meet(X_42,join(complement(X_15),meet(X_42,X_15)))))]]) ).
cnf(refute_0_471,plain,
( X_42 != join(zero,meet(X_42,join(complement(X_15),meet(X_42,X_15))))
| X_42 = meet(X_42,join(complement(X_15),meet(X_42,X_15))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_42,join(complement(X_15),meet(X_42,X_15)))),meet(X_42,join(complement(X_15),meet(X_42,X_15)))) )],[refute_0_469,refute_0_470]) ).
cnf(refute_0_472,plain,
X_42 = meet(X_42,join(complement(X_15),meet(X_42,X_15))),
inference(resolve,[$cnf( $equal(X_42,join(zero,meet(X_42,join(complement(X_15),meet(X_42,X_15))))) )],[refute_0_448,refute_0_471]) ).
cnf(refute_0_473,plain,
X_104 = meet(X_104,join(complement(X_103),meet(X_104,X_103))),
inference(subst,[],[refute_0_472:[bind(X_15,$fot(X_103)),bind(X_42,$fot(X_104))]]) ).
cnf(refute_0_474,plain,
meet(X_103,X_104) = meet(X_104,X_103),
inference(subst,[],[refute_0_107:[bind(X_14,$fot(X_103)),bind(X_15,$fot(X_104))]]) ).
cnf(refute_0_475,plain,
( meet(X_103,X_104) != meet(X_104,X_103)
| meet(X_104,X_103) = meet(X_103,X_104) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(meet(X_103,X_104))),bind(Y,$fot(meet(X_104,X_103)))]]) ).
cnf(refute_0_476,plain,
meet(X_104,X_103) = meet(X_103,X_104),
inference(resolve,[$cnf( $equal(meet(X_103,X_104),meet(X_104,X_103)) )],[refute_0_474,refute_0_475]) ).
cnf(refute_0_477,plain,
( X_104 != meet(X_104,join(complement(X_103),meet(X_104,X_103)))
| meet(X_104,X_103) != meet(X_103,X_104)
| X_104 = meet(X_104,join(complement(X_103),meet(X_103,X_104))) ),
introduced(tautology,[equality,[$cnf( $equal(X_104,meet(X_104,join(complement(X_103),meet(X_104,X_103)))) ),[1,1,1],$fot(meet(X_103,X_104))]]) ).
cnf(refute_0_478,plain,
( X_104 != meet(X_104,join(complement(X_103),meet(X_104,X_103)))
| X_104 = meet(X_104,join(complement(X_103),meet(X_103,X_104))) ),
inference(resolve,[$cnf( $equal(meet(X_104,X_103),meet(X_103,X_104)) )],[refute_0_476,refute_0_477]) ).
cnf(refute_0_479,plain,
X_104 = meet(X_104,join(complement(X_103),meet(X_103,X_104))),
inference(resolve,[$cnf( $equal(X_104,meet(X_104,join(complement(X_103),meet(X_104,X_103)))) )],[refute_0_473,refute_0_478]) ).
cnf(refute_0_480,plain,
complement(X_363) = meet(complement(X_363),join(complement(X_103),meet(X_103,complement(X_363)))),
inference(subst,[],[refute_0_479:[bind(X_104,$fot(complement(X_363)))]]) ).
cnf(refute_0_481,plain,
( complement(X_363) != meet(complement(X_363),join(complement(X_103),meet(X_103,complement(X_363))))
| meet(complement(X_363),join(complement(X_103),meet(X_103,complement(X_363)))) = complement(X_363) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(complement(X_363))),bind(Y,$fot(meet(complement(X_363),join(complement(X_103),meet(X_103,complement(X_363))))))]]) ).
cnf(refute_0_482,plain,
meet(complement(X_363),join(complement(X_103),meet(X_103,complement(X_363)))) = complement(X_363),
inference(resolve,[$cnf( $equal(complement(X_363),meet(complement(X_363),join(complement(X_103),meet(X_103,complement(X_363))))) )],[refute_0_480,refute_0_481]) ).
cnf(refute_0_483,plain,
( join(X_363,complement(join(complement(X_103),meet(X_103,complement(X_363))))) != complement(meet(complement(X_363),join(complement(X_103),meet(X_103,complement(X_363)))))
| meet(complement(X_363),join(complement(X_103),meet(X_103,complement(X_363)))) != complement(X_363)
| join(X_363,complement(join(complement(X_103),meet(X_103,complement(X_363))))) = complement(complement(X_363)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_363,complement(join(complement(X_103),meet(X_103,complement(X_363))))),complement(meet(complement(X_363),join(complement(X_103),meet(X_103,complement(X_363)))))) ),[1,0],$fot(complement(X_363))]]) ).
cnf(refute_0_484,plain,
( join(X_363,complement(join(complement(X_103),meet(X_103,complement(X_363))))) != complement(meet(complement(X_363),join(complement(X_103),meet(X_103,complement(X_363)))))
| join(X_363,complement(join(complement(X_103),meet(X_103,complement(X_363))))) = complement(complement(X_363)) ),
inference(resolve,[$cnf( $equal(meet(complement(X_363),join(complement(X_103),meet(X_103,complement(X_363)))),complement(X_363)) )],[refute_0_482,refute_0_483]) ).
cnf(refute_0_485,plain,
join(X_363,complement(join(complement(X_103),meet(X_103,complement(X_363))))) = complement(complement(X_363)),
inference(resolve,[$cnf( $equal(join(X_363,complement(join(complement(X_103),meet(X_103,complement(X_363))))),complement(meet(complement(X_363),join(complement(X_103),meet(X_103,complement(X_363)))))) )],[refute_0_430,refute_0_484]) ).
cnf(refute_0_486,plain,
join(complement(X_307),X_308) = complement(complement(join(complement(X_307),X_308))),
inference(subst,[],[refute_0_381:[bind(X_42,$fot(join(complement(X_307),X_308)))]]) ).
cnf(refute_0_487,plain,
meet(X0,join(zero,complement(X_18))) = complement(join(complement(X0),complement(join(zero,complement(X_18))))),
inference(subst,[],[refute_0_17:[bind(X1,$fot(join(zero,complement(X_18))))]]) ).
cnf(refute_0_488,plain,
( complement(join(zero,complement(X_18))) != meet(top,X_18)
| meet(X0,join(zero,complement(X_18))) != complement(join(complement(X0),complement(join(zero,complement(X_18)))))
| meet(X0,join(zero,complement(X_18))) = complement(join(complement(X0),meet(top,X_18))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X0,join(zero,complement(X_18))),complement(join(complement(X0),complement(join(zero,complement(X_18)))))) ),[1,0,1],$fot(meet(top,X_18))]]) ).
cnf(refute_0_489,plain,
( meet(X0,join(zero,complement(X_18))) != complement(join(complement(X0),complement(join(zero,complement(X_18)))))
| meet(X0,join(zero,complement(X_18))) = complement(join(complement(X0),meet(top,X_18))) ),
inference(resolve,[$cnf( $equal(complement(join(zero,complement(X_18))),meet(top,X_18)) )],[refute_0_386,refute_0_488]) ).
cnf(refute_0_490,plain,
meet(X0,join(zero,complement(X_18))) = complement(join(complement(X0),meet(top,X_18))),
inference(resolve,[$cnf( $equal(meet(X0,join(zero,complement(X_18))),complement(join(complement(X0),complement(join(zero,complement(X_18)))))) )],[refute_0_487,refute_0_489]) ).
cnf(refute_0_491,plain,
meet(X0,join(zero,complement(X_18))) = meet(X0,join(zero,complement(X_18))),
introduced(tautology,[refl,[$fot(meet(X0,join(zero,complement(X_18))))]]) ).
cnf(refute_0_492,plain,
( join(zero,complement(X_18)) != complement(X_18)
| meet(X0,join(zero,complement(X_18))) != meet(X0,join(zero,complement(X_18)))
| meet(X0,join(zero,complement(X_18))) = meet(X0,complement(X_18)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X0,join(zero,complement(X_18))),meet(X0,join(zero,complement(X_18)))) ),[1,1],$fot(complement(X_18))]]) ).
cnf(refute_0_493,plain,
( join(zero,complement(X_18)) != complement(X_18)
| meet(X0,join(zero,complement(X_18))) = meet(X0,complement(X_18)) ),
inference(resolve,[$cnf( $equal(meet(X0,join(zero,complement(X_18))),meet(X0,join(zero,complement(X_18)))) )],[refute_0_491,refute_0_492]) ).
cnf(refute_0_494,plain,
meet(X0,join(zero,complement(X_18))) = meet(X0,complement(X_18)),
inference(resolve,[$cnf( $equal(join(zero,complement(X_18)),complement(X_18)) )],[refute_0_390,refute_0_493]) ).
cnf(refute_0_495,plain,
( meet(X0,join(zero,complement(X_18))) != complement(join(complement(X0),meet(top,X_18)))
| meet(X0,join(zero,complement(X_18))) != meet(X0,complement(X_18))
| meet(X0,complement(X_18)) = complement(join(complement(X0),meet(top,X_18))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X0,join(zero,complement(X_18))),complement(join(complement(X0),meet(top,X_18)))) ),[0],$fot(meet(X0,complement(X_18)))]]) ).
cnf(refute_0_496,plain,
( meet(X0,join(zero,complement(X_18))) != complement(join(complement(X0),meet(top,X_18)))
| meet(X0,complement(X_18)) = complement(join(complement(X0),meet(top,X_18))) ),
inference(resolve,[$cnf( $equal(meet(X0,join(zero,complement(X_18))),meet(X0,complement(X_18))) )],[refute_0_494,refute_0_495]) ).
cnf(refute_0_497,plain,
join(complement(X0),meet(top,X_18)) = join(complement(X0),meet(top,X_18)),
introduced(tautology,[refl,[$fot(join(complement(X0),meet(top,X_18)))]]) ).
cnf(refute_0_498,plain,
( join(complement(X0),meet(top,X_18)) != join(complement(X0),meet(top,X_18))
| meet(top,X_18) != X_18
| join(complement(X0),meet(top,X_18)) = join(complement(X0),X_18) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X0),meet(top,X_18)),join(complement(X0),meet(top,X_18))) ),[1,1],$fot(X_18)]]) ).
cnf(refute_0_499,plain,
( meet(top,X_18) != X_18
| join(complement(X0),meet(top,X_18)) = join(complement(X0),X_18) ),
inference(resolve,[$cnf( $equal(join(complement(X0),meet(top,X_18)),join(complement(X0),meet(top,X_18))) )],[refute_0_497,refute_0_498]) ).
cnf(refute_0_500,plain,
join(complement(X0),meet(top,X_18)) = join(complement(X0),X_18),
inference(resolve,[$cnf( $equal(meet(top,X_18),X_18) )],[refute_0_411,refute_0_499]) ).
cnf(refute_0_501,plain,
complement(join(complement(X0),meet(top,X_18))) = complement(join(complement(X0),meet(top,X_18))),
introduced(tautology,[refl,[$fot(complement(join(complement(X0),meet(top,X_18))))]]) ).
cnf(refute_0_502,plain,
( complement(join(complement(X0),meet(top,X_18))) != complement(join(complement(X0),meet(top,X_18)))
| join(complement(X0),meet(top,X_18)) != join(complement(X0),X_18)
| complement(join(complement(X0),meet(top,X_18))) = complement(join(complement(X0),X_18)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(X0),meet(top,X_18))),complement(join(complement(X0),meet(top,X_18)))) ),[1,0],$fot(join(complement(X0),X_18))]]) ).
cnf(refute_0_503,plain,
( join(complement(X0),meet(top,X_18)) != join(complement(X0),X_18)
| complement(join(complement(X0),meet(top,X_18))) = complement(join(complement(X0),X_18)) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X0),meet(top,X_18))),complement(join(complement(X0),meet(top,X_18)))) )],[refute_0_501,refute_0_502]) ).
cnf(refute_0_504,plain,
complement(join(complement(X0),meet(top,X_18))) = complement(join(complement(X0),X_18)),
inference(resolve,[$cnf( $equal(join(complement(X0),meet(top,X_18)),join(complement(X0),X_18)) )],[refute_0_500,refute_0_503]) ).
cnf(refute_0_505,plain,
( complement(join(complement(X0),meet(top,X_18))) != complement(join(complement(X0),X_18))
| meet(X0,complement(X_18)) != complement(join(complement(X0),meet(top,X_18)))
| meet(X0,complement(X_18)) = complement(join(complement(X0),X_18)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X0,complement(X_18)),complement(join(complement(X0),meet(top,X_18)))) ),[1],$fot(complement(join(complement(X0),X_18)))]]) ).
cnf(refute_0_506,plain,
( meet(X0,complement(X_18)) != complement(join(complement(X0),meet(top,X_18)))
| meet(X0,complement(X_18)) = complement(join(complement(X0),X_18)) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X0),meet(top,X_18))),complement(join(complement(X0),X_18))) )],[refute_0_504,refute_0_505]) ).
cnf(refute_0_507,plain,
( meet(X0,join(zero,complement(X_18))) != complement(join(complement(X0),meet(top,X_18)))
| meet(X0,complement(X_18)) = complement(join(complement(X0),X_18)) ),
inference(resolve,[$cnf( $equal(meet(X0,complement(X_18)),complement(join(complement(X0),meet(top,X_18)))) )],[refute_0_496,refute_0_506]) ).
cnf(refute_0_508,plain,
meet(X0,complement(X_18)) = complement(join(complement(X0),X_18)),
inference(resolve,[$cnf( $equal(meet(X0,join(zero,complement(X_18))),complement(join(complement(X0),meet(top,X_18)))) )],[refute_0_490,refute_0_507]) ).
cnf(refute_0_509,plain,
meet(X_307,complement(X_308)) = complement(join(complement(X_307),X_308)),
inference(subst,[],[refute_0_508:[bind(X0,$fot(X_307)),bind(X_18,$fot(X_308))]]) ).
cnf(refute_0_510,plain,
( meet(X_307,complement(X_308)) != complement(join(complement(X_307),X_308))
| complement(join(complement(X_307),X_308)) = meet(X_307,complement(X_308)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(meet(X_307,complement(X_308)))),bind(Y,$fot(complement(join(complement(X_307),X_308))))]]) ).
cnf(refute_0_511,plain,
complement(join(complement(X_307),X_308)) = meet(X_307,complement(X_308)),
inference(resolve,[$cnf( $equal(meet(X_307,complement(X_308)),complement(join(complement(X_307),X_308))) )],[refute_0_509,refute_0_510]) ).
cnf(refute_0_512,plain,
( complement(join(complement(X_307),X_308)) != meet(X_307,complement(X_308))
| join(complement(X_307),X_308) != complement(complement(join(complement(X_307),X_308)))
| join(complement(X_307),X_308) = complement(meet(X_307,complement(X_308))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_307),X_308),complement(complement(join(complement(X_307),X_308)))) ),[1,0],$fot(meet(X_307,complement(X_308)))]]) ).
cnf(refute_0_513,plain,
( join(complement(X_307),X_308) != complement(complement(join(complement(X_307),X_308)))
| join(complement(X_307),X_308) = complement(meet(X_307,complement(X_308))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_307),X_308)),meet(X_307,complement(X_308))) )],[refute_0_511,refute_0_512]) ).
cnf(refute_0_514,plain,
join(complement(X_307),X_308) = complement(meet(X_307,complement(X_308))),
inference(resolve,[$cnf( $equal(join(complement(X_307),X_308),complement(complement(join(complement(X_307),X_308)))) )],[refute_0_486,refute_0_513]) ).
cnf(refute_0_515,plain,
( join(complement(X_307),X_308) != complement(meet(X_307,complement(X_308)))
| complement(meet(X_307,complement(X_308))) = join(complement(X_307),X_308) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(complement(X_307),X_308))),bind(Y,$fot(complement(meet(X_307,complement(X_308)))))]]) ).
cnf(refute_0_516,plain,
complement(meet(X_307,complement(X_308))) = join(complement(X_307),X_308),
inference(resolve,[$cnf( $equal(join(complement(X_307),X_308),complement(meet(X_307,complement(X_308)))) )],[refute_0_514,refute_0_515]) ).
cnf(refute_0_517,plain,
complement(meet(X_103,complement(X_363))) = join(complement(X_103),X_363),
inference(subst,[],[refute_0_516:[bind(X_307,$fot(X_103)),bind(X_308,$fot(X_363))]]) ).
cnf(refute_0_518,plain,
meet(X_103,complement(meet(X_103,complement(X_363)))) = meet(X_103,complement(meet(X_103,complement(X_363)))),
introduced(tautology,[refl,[$fot(meet(X_103,complement(meet(X_103,complement(X_363)))))]]) ).
cnf(refute_0_519,plain,
( complement(meet(X_103,complement(X_363))) != join(complement(X_103),X_363)
| meet(X_103,complement(meet(X_103,complement(X_363)))) != meet(X_103,complement(meet(X_103,complement(X_363))))
| meet(X_103,complement(meet(X_103,complement(X_363)))) = meet(X_103,join(complement(X_103),X_363)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_103,complement(meet(X_103,complement(X_363)))),meet(X_103,complement(meet(X_103,complement(X_363))))) ),[1,1],$fot(join(complement(X_103),X_363))]]) ).
cnf(refute_0_520,plain,
( complement(meet(X_103,complement(X_363))) != join(complement(X_103),X_363)
| meet(X_103,complement(meet(X_103,complement(X_363)))) = meet(X_103,join(complement(X_103),X_363)) ),
inference(resolve,[$cnf( $equal(meet(X_103,complement(meet(X_103,complement(X_363)))),meet(X_103,complement(meet(X_103,complement(X_363))))) )],[refute_0_518,refute_0_519]) ).
cnf(refute_0_521,plain,
meet(X_103,complement(meet(X_103,complement(X_363)))) = meet(X_103,join(complement(X_103),X_363)),
inference(resolve,[$cnf( $equal(complement(meet(X_103,complement(X_363))),join(complement(X_103),X_363)) )],[refute_0_517,refute_0_520]) ).
cnf(refute_0_522,plain,
( meet(X0,complement(X_18)) != complement(join(complement(X0),X_18))
| complement(join(complement(X0),X_18)) = meet(X0,complement(X_18)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(meet(X0,complement(X_18)))),bind(Y,$fot(complement(join(complement(X0),X_18))))]]) ).
cnf(refute_0_523,plain,
complement(join(complement(X0),X_18)) = meet(X0,complement(X_18)),
inference(resolve,[$cnf( $equal(meet(X0,complement(X_18)),complement(join(complement(X0),X_18))) )],[refute_0_508,refute_0_522]) ).
cnf(refute_0_524,plain,
complement(join(complement(X_103),meet(X_103,complement(X_363)))) = meet(X_103,complement(meet(X_103,complement(X_363)))),
inference(subst,[],[refute_0_523:[bind(X0,$fot(X_103)),bind(X_18,$fot(meet(X_103,complement(X_363))))]]) ).
cnf(refute_0_525,plain,
( complement(join(complement(X_103),meet(X_103,complement(X_363)))) != meet(X_103,complement(meet(X_103,complement(X_363))))
| meet(X_103,complement(meet(X_103,complement(X_363)))) != meet(X_103,join(complement(X_103),X_363))
| complement(join(complement(X_103),meet(X_103,complement(X_363)))) = meet(X_103,join(complement(X_103),X_363)) ),
inference(subst,[],[refute_0_25:[bind(X,$fot(complement(join(complement(X_103),meet(X_103,complement(X_363)))))),bind(Y,$fot(meet(X_103,complement(meet(X_103,complement(X_363)))))),bind(Z,$fot(meet(X_103,join(complement(X_103),X_363))))]]) ).
cnf(refute_0_526,plain,
( meet(X_103,complement(meet(X_103,complement(X_363)))) != meet(X_103,join(complement(X_103),X_363))
| complement(join(complement(X_103),meet(X_103,complement(X_363)))) = meet(X_103,join(complement(X_103),X_363)) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_103),meet(X_103,complement(X_363)))),meet(X_103,complement(meet(X_103,complement(X_363))))) )],[refute_0_524,refute_0_525]) ).
cnf(refute_0_527,plain,
complement(join(complement(X_103),meet(X_103,complement(X_363)))) = meet(X_103,join(complement(X_103),X_363)),
inference(resolve,[$cnf( $equal(meet(X_103,complement(meet(X_103,complement(X_363)))),meet(X_103,join(complement(X_103),X_363))) )],[refute_0_521,refute_0_526]) ).
cnf(refute_0_528,plain,
join(X_363,complement(join(complement(X_103),meet(X_103,complement(X_363))))) = join(X_363,complement(join(complement(X_103),meet(X_103,complement(X_363))))),
introduced(tautology,[refl,[$fot(join(X_363,complement(join(complement(X_103),meet(X_103,complement(X_363))))))]]) ).
cnf(refute_0_529,plain,
( complement(join(complement(X_103),meet(X_103,complement(X_363)))) != meet(X_103,join(complement(X_103),X_363))
| join(X_363,complement(join(complement(X_103),meet(X_103,complement(X_363))))) != join(X_363,complement(join(complement(X_103),meet(X_103,complement(X_363)))))
| join(X_363,complement(join(complement(X_103),meet(X_103,complement(X_363))))) = join(X_363,meet(X_103,join(complement(X_103),X_363))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_363,complement(join(complement(X_103),meet(X_103,complement(X_363))))),join(X_363,complement(join(complement(X_103),meet(X_103,complement(X_363)))))) ),[1,1],$fot(meet(X_103,join(complement(X_103),X_363)))]]) ).
cnf(refute_0_530,plain,
( complement(join(complement(X_103),meet(X_103,complement(X_363)))) != meet(X_103,join(complement(X_103),X_363))
| join(X_363,complement(join(complement(X_103),meet(X_103,complement(X_363))))) = join(X_363,meet(X_103,join(complement(X_103),X_363))) ),
inference(resolve,[$cnf( $equal(join(X_363,complement(join(complement(X_103),meet(X_103,complement(X_363))))),join(X_363,complement(join(complement(X_103),meet(X_103,complement(X_363)))))) )],[refute_0_528,refute_0_529]) ).
cnf(refute_0_531,plain,
join(X_363,complement(join(complement(X_103),meet(X_103,complement(X_363))))) = join(X_363,meet(X_103,join(complement(X_103),X_363))),
inference(resolve,[$cnf( $equal(complement(join(complement(X_103),meet(X_103,complement(X_363)))),meet(X_103,join(complement(X_103),X_363))) )],[refute_0_527,refute_0_530]) ).
cnf(refute_0_532,plain,
( join(X_363,complement(join(complement(X_103),meet(X_103,complement(X_363))))) != complement(complement(X_363))
| join(X_363,complement(join(complement(X_103),meet(X_103,complement(X_363))))) != join(X_363,meet(X_103,join(complement(X_103),X_363)))
| join(X_363,meet(X_103,join(complement(X_103),X_363))) = complement(complement(X_363)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_363,complement(join(complement(X_103),meet(X_103,complement(X_363))))),complement(complement(X_363))) ),[0],$fot(join(X_363,meet(X_103,join(complement(X_103),X_363))))]]) ).
cnf(refute_0_533,plain,
( join(X_363,complement(join(complement(X_103),meet(X_103,complement(X_363))))) != complement(complement(X_363))
| join(X_363,meet(X_103,join(complement(X_103),X_363))) = complement(complement(X_363)) ),
inference(resolve,[$cnf( $equal(join(X_363,complement(join(complement(X_103),meet(X_103,complement(X_363))))),join(X_363,meet(X_103,join(complement(X_103),X_363)))) )],[refute_0_531,refute_0_532]) ).
cnf(refute_0_534,plain,
complement(complement(X_363)) = X_363,
inference(subst,[],[refute_0_398:[bind(X_42,$fot(X_363))]]) ).
cnf(refute_0_535,plain,
( complement(complement(X_363)) != X_363
| join(X_363,meet(X_103,join(complement(X_103),X_363))) != complement(complement(X_363))
| join(X_363,meet(X_103,join(complement(X_103),X_363))) = X_363 ),
introduced(tautology,[equality,[$cnf( $equal(join(X_363,meet(X_103,join(complement(X_103),X_363))),complement(complement(X_363))) ),[1],$fot(X_363)]]) ).
cnf(refute_0_536,plain,
( join(X_363,meet(X_103,join(complement(X_103),X_363))) != complement(complement(X_363))
| join(X_363,meet(X_103,join(complement(X_103),X_363))) = X_363 ),
inference(resolve,[$cnf( $equal(complement(complement(X_363)),X_363) )],[refute_0_534,refute_0_535]) ).
cnf(refute_0_537,plain,
( join(X_363,complement(join(complement(X_103),meet(X_103,complement(X_363))))) != complement(complement(X_363))
| join(X_363,meet(X_103,join(complement(X_103),X_363))) = X_363 ),
inference(resolve,[$cnf( $equal(join(X_363,meet(X_103,join(complement(X_103),X_363))),complement(complement(X_363))) )],[refute_0_533,refute_0_536]) ).
cnf(refute_0_538,plain,
join(X_363,meet(X_103,join(complement(X_103),X_363))) = X_363,
inference(resolve,[$cnf( $equal(join(X_363,complement(join(complement(X_103),meet(X_103,complement(X_363))))),complement(complement(X_363))) )],[refute_0_485,refute_0_537]) ).
cnf(refute_0_539,plain,
X_118 = meet(X_118,join(complement(complement(X_42)),meet(complement(X_42),X_118))),
inference(subst,[],[refute_0_479:[bind(X_103,$fot(complement(X_42))),bind(X_104,$fot(X_118))]]) ).
cnf(refute_0_540,plain,
( X_118 != meet(X_118,join(complement(complement(X_42)),meet(complement(X_42),X_118)))
| complement(complement(X_42)) != X_42
| X_118 = meet(X_118,join(X_42,meet(complement(X_42),X_118))) ),
introduced(tautology,[equality,[$cnf( $equal(X_118,meet(X_118,join(complement(complement(X_42)),meet(complement(X_42),X_118)))) ),[1,1,0],$fot(X_42)]]) ).
cnf(refute_0_541,plain,
( X_118 != meet(X_118,join(complement(complement(X_42)),meet(complement(X_42),X_118)))
| X_118 = meet(X_118,join(X_42,meet(complement(X_42),X_118))) ),
inference(resolve,[$cnf( $equal(complement(complement(X_42)),X_42) )],[refute_0_398,refute_0_540]) ).
cnf(refute_0_542,plain,
X_118 = meet(X_118,join(X_42,meet(complement(X_42),X_118))),
inference(resolve,[$cnf( $equal(X_118,meet(X_118,join(complement(complement(X_42)),meet(complement(X_42),X_118)))) )],[refute_0_539,refute_0_541]) ).
cnf(refute_0_543,plain,
meet(X_384,complement(meet(X_384,complement(X_42)))) = meet(meet(X_384,complement(meet(X_384,complement(X_42)))),join(X_42,meet(complement(X_42),meet(X_384,complement(meet(X_384,complement(X_42))))))),
inference(subst,[],[refute_0_542:[bind(X_118,$fot(meet(X_384,complement(meet(X_384,complement(X_42))))))]]) ).
cnf(refute_0_544,plain,
meet(X_307,complement(join(complement(X_288),meet(X_288,complement(complement(X_307)))))) = complement(join(complement(X_307),join(complement(X_288),meet(X_288,complement(complement(X_307)))))),
inference(subst,[],[refute_0_508:[bind(X0,$fot(X_307)),bind(X_18,$fot(join(complement(X_288),meet(X_288,complement(complement(X_307))))))]]) ).
cnf(refute_0_545,plain,
top = join(complement(join(zero,complement(X1))),join(complement(X_25),meet(join(zero,complement(X1)),X_25))),
inference(subst,[],[refute_0_47:[bind(X_14,$fot(join(zero,complement(X1)))),bind(X_15,$fot(X_25))]]) ).
cnf(refute_0_546,plain,
( complement(join(zero,complement(X1))) != meet(top,X1)
| top != join(complement(join(zero,complement(X1))),join(complement(X_25),meet(join(zero,complement(X1)),X_25)))
| top = join(meet(top,X1),join(complement(X_25),meet(join(zero,complement(X1)),X_25))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(join(zero,complement(X1))),join(complement(X_25),meet(join(zero,complement(X1)),X_25)))) ),[1,0],$fot(meet(top,X1))]]) ).
cnf(refute_0_547,plain,
( top != join(complement(join(zero,complement(X1))),join(complement(X_25),meet(join(zero,complement(X1)),X_25)))
| top = join(meet(top,X1),join(complement(X_25),meet(join(zero,complement(X1)),X_25))) ),
inference(resolve,[$cnf( $equal(complement(join(zero,complement(X1))),meet(top,X1)) )],[refute_0_264,refute_0_546]) ).
cnf(refute_0_548,plain,
top = join(meet(top,X1),join(complement(X_25),meet(join(zero,complement(X1)),X_25))),
inference(resolve,[$cnf( $equal(top,join(complement(join(zero,complement(X1))),join(complement(X_25),meet(join(zero,complement(X1)),X_25)))) )],[refute_0_545,refute_0_547]) ).
cnf(refute_0_549,plain,
meet(join(zero,complement(X1)),X_25) = meet(join(zero,complement(X1)),X_25),
introduced(tautology,[refl,[$fot(meet(join(zero,complement(X1)),X_25))]]) ).
cnf(refute_0_550,plain,
( join(zero,complement(X1)) != complement(X1)
| meet(join(zero,complement(X1)),X_25) != meet(join(zero,complement(X1)),X_25)
| meet(join(zero,complement(X1)),X_25) = meet(complement(X1),X_25) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(zero,complement(X1)),X_25),meet(join(zero,complement(X1)),X_25)) ),[1,0],$fot(complement(X1))]]) ).
cnf(refute_0_551,plain,
( join(zero,complement(X1)) != complement(X1)
| meet(join(zero,complement(X1)),X_25) = meet(complement(X1),X_25) ),
inference(resolve,[$cnf( $equal(meet(join(zero,complement(X1)),X_25),meet(join(zero,complement(X1)),X_25)) )],[refute_0_549,refute_0_550]) ).
cnf(refute_0_552,plain,
meet(join(zero,complement(X1)),X_25) = meet(complement(X1),X_25),
inference(resolve,[$cnf( $equal(join(zero,complement(X1)),complement(X1)) )],[refute_0_400,refute_0_551]) ).
cnf(refute_0_553,plain,
join(complement(X_25),meet(join(zero,complement(X1)),X_25)) = join(complement(X_25),meet(join(zero,complement(X1)),X_25)),
introduced(tautology,[refl,[$fot(join(complement(X_25),meet(join(zero,complement(X1)),X_25)))]]) ).
cnf(refute_0_554,plain,
( join(complement(X_25),meet(join(zero,complement(X1)),X_25)) != join(complement(X_25),meet(join(zero,complement(X1)),X_25))
| meet(join(zero,complement(X1)),X_25) != meet(complement(X1),X_25)
| join(complement(X_25),meet(join(zero,complement(X1)),X_25)) = join(complement(X_25),meet(complement(X1),X_25)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_25),meet(join(zero,complement(X1)),X_25)),join(complement(X_25),meet(join(zero,complement(X1)),X_25))) ),[1,1],$fot(meet(complement(X1),X_25))]]) ).
cnf(refute_0_555,plain,
( meet(join(zero,complement(X1)),X_25) != meet(complement(X1),X_25)
| join(complement(X_25),meet(join(zero,complement(X1)),X_25)) = join(complement(X_25),meet(complement(X1),X_25)) ),
inference(resolve,[$cnf( $equal(join(complement(X_25),meet(join(zero,complement(X1)),X_25)),join(complement(X_25),meet(join(zero,complement(X1)),X_25))) )],[refute_0_553,refute_0_554]) ).
cnf(refute_0_556,plain,
join(complement(X_25),meet(join(zero,complement(X1)),X_25)) = join(complement(X_25),meet(complement(X1),X_25)),
inference(resolve,[$cnf( $equal(meet(join(zero,complement(X1)),X_25),meet(complement(X1),X_25)) )],[refute_0_552,refute_0_555]) ).
cnf(refute_0_557,plain,
join(X1,join(complement(X_25),meet(join(zero,complement(X1)),X_25))) = join(X1,join(complement(X_25),meet(join(zero,complement(X1)),X_25))),
introduced(tautology,[refl,[$fot(join(X1,join(complement(X_25),meet(join(zero,complement(X1)),X_25))))]]) ).
cnf(refute_0_558,plain,
( join(X1,join(complement(X_25),meet(join(zero,complement(X1)),X_25))) != join(X1,join(complement(X_25),meet(join(zero,complement(X1)),X_25)))
| join(complement(X_25),meet(join(zero,complement(X1)),X_25)) != join(complement(X_25),meet(complement(X1),X_25))
| join(X1,join(complement(X_25),meet(join(zero,complement(X1)),X_25))) = join(X1,join(complement(X_25),meet(complement(X1),X_25))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X1,join(complement(X_25),meet(join(zero,complement(X1)),X_25))),join(X1,join(complement(X_25),meet(join(zero,complement(X1)),X_25)))) ),[1,1],$fot(join(complement(X_25),meet(complement(X1),X_25)))]]) ).
cnf(refute_0_559,plain,
( join(complement(X_25),meet(join(zero,complement(X1)),X_25)) != join(complement(X_25),meet(complement(X1),X_25))
| join(X1,join(complement(X_25),meet(join(zero,complement(X1)),X_25))) = join(X1,join(complement(X_25),meet(complement(X1),X_25))) ),
inference(resolve,[$cnf( $equal(join(X1,join(complement(X_25),meet(join(zero,complement(X1)),X_25))),join(X1,join(complement(X_25),meet(join(zero,complement(X1)),X_25)))) )],[refute_0_557,refute_0_558]) ).
cnf(refute_0_560,plain,
join(X1,join(complement(X_25),meet(join(zero,complement(X1)),X_25))) = join(X1,join(complement(X_25),meet(complement(X1),X_25))),
inference(resolve,[$cnf( $equal(join(complement(X_25),meet(join(zero,complement(X1)),X_25)),join(complement(X_25),meet(complement(X1),X_25))) )],[refute_0_556,refute_0_559]) ).
cnf(refute_0_561,plain,
join(meet(top,X1),join(complement(X_25),meet(join(zero,complement(X1)),X_25))) = join(meet(top,X1),join(complement(X_25),meet(join(zero,complement(X1)),X_25))),
introduced(tautology,[refl,[$fot(join(meet(top,X1),join(complement(X_25),meet(join(zero,complement(X1)),X_25))))]]) ).
cnf(refute_0_562,plain,
( join(meet(top,X1),join(complement(X_25),meet(join(zero,complement(X1)),X_25))) != join(meet(top,X1),join(complement(X_25),meet(join(zero,complement(X1)),X_25)))
| meet(top,X1) != X1
| join(meet(top,X1),join(complement(X_25),meet(join(zero,complement(X1)),X_25))) = join(X1,join(complement(X_25),meet(join(zero,complement(X1)),X_25))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(top,X1),join(complement(X_25),meet(join(zero,complement(X1)),X_25))),join(meet(top,X1),join(complement(X_25),meet(join(zero,complement(X1)),X_25)))) ),[1,0],$fot(X1)]]) ).
cnf(refute_0_563,plain,
( meet(top,X1) != X1
| join(meet(top,X1),join(complement(X_25),meet(join(zero,complement(X1)),X_25))) = join(X1,join(complement(X_25),meet(join(zero,complement(X1)),X_25))) ),
inference(resolve,[$cnf( $equal(join(meet(top,X1),join(complement(X_25),meet(join(zero,complement(X1)),X_25))),join(meet(top,X1),join(complement(X_25),meet(join(zero,complement(X1)),X_25)))) )],[refute_0_561,refute_0_562]) ).
cnf(refute_0_564,plain,
join(meet(top,X1),join(complement(X_25),meet(join(zero,complement(X1)),X_25))) = join(X1,join(complement(X_25),meet(join(zero,complement(X1)),X_25))),
inference(resolve,[$cnf( $equal(meet(top,X1),X1) )],[refute_0_410,refute_0_563]) ).
cnf(refute_0_565,plain,
( join(X1,join(complement(X_25),meet(join(zero,complement(X1)),X_25))) != join(X1,join(complement(X_25),meet(complement(X1),X_25)))
| join(meet(top,X1),join(complement(X_25),meet(join(zero,complement(X1)),X_25))) != join(X1,join(complement(X_25),meet(join(zero,complement(X1)),X_25)))
| join(meet(top,X1),join(complement(X_25),meet(join(zero,complement(X1)),X_25))) = join(X1,join(complement(X_25),meet(complement(X1),X_25))) ),
inference(subst,[],[refute_0_25:[bind(X,$fot(join(meet(top,X1),join(complement(X_25),meet(join(zero,complement(X1)),X_25))))),bind(Y,$fot(join(X1,join(complement(X_25),meet(join(zero,complement(X1)),X_25))))),bind(Z,$fot(join(X1,join(complement(X_25),meet(complement(X1),X_25)))))]]) ).
cnf(refute_0_566,plain,
( join(X1,join(complement(X_25),meet(join(zero,complement(X1)),X_25))) != join(X1,join(complement(X_25),meet(complement(X1),X_25)))
| join(meet(top,X1),join(complement(X_25),meet(join(zero,complement(X1)),X_25))) = join(X1,join(complement(X_25),meet(complement(X1),X_25))) ),
inference(resolve,[$cnf( $equal(join(meet(top,X1),join(complement(X_25),meet(join(zero,complement(X1)),X_25))),join(X1,join(complement(X_25),meet(join(zero,complement(X1)),X_25)))) )],[refute_0_564,refute_0_565]) ).
cnf(refute_0_567,plain,
join(meet(top,X1),join(complement(X_25),meet(join(zero,complement(X1)),X_25))) = join(X1,join(complement(X_25),meet(complement(X1),X_25))),
inference(resolve,[$cnf( $equal(join(X1,join(complement(X_25),meet(join(zero,complement(X1)),X_25))),join(X1,join(complement(X_25),meet(complement(X1),X_25)))) )],[refute_0_560,refute_0_566]) ).
cnf(refute_0_568,plain,
( join(meet(top,X1),join(complement(X_25),meet(join(zero,complement(X1)),X_25))) != join(X1,join(complement(X_25),meet(complement(X1),X_25)))
| top != join(meet(top,X1),join(complement(X_25),meet(join(zero,complement(X1)),X_25)))
| top = join(X1,join(complement(X_25),meet(complement(X1),X_25))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(meet(top,X1),join(complement(X_25),meet(join(zero,complement(X1)),X_25)))) ),[1],$fot(join(X1,join(complement(X_25),meet(complement(X1),X_25))))]]) ).
cnf(refute_0_569,plain,
( top != join(meet(top,X1),join(complement(X_25),meet(join(zero,complement(X1)),X_25)))
| top = join(X1,join(complement(X_25),meet(complement(X1),X_25))) ),
inference(resolve,[$cnf( $equal(join(meet(top,X1),join(complement(X_25),meet(join(zero,complement(X1)),X_25))),join(X1,join(complement(X_25),meet(complement(X1),X_25)))) )],[refute_0_567,refute_0_568]) ).
cnf(refute_0_570,plain,
top = join(X1,join(complement(X_25),meet(complement(X1),X_25))),
inference(resolve,[$cnf( $equal(top,join(meet(top,X1),join(complement(X_25),meet(join(zero,complement(X1)),X_25)))) )],[refute_0_548,refute_0_569]) ).
cnf(refute_0_571,plain,
top = join(X_287,join(complement(X_288),meet(complement(X_287),X_288))),
inference(subst,[],[refute_0_570:[bind(X1,$fot(X_287)),bind(X_25,$fot(X_288))]]) ).
cnf(refute_0_572,plain,
meet(X_288,complement(X_287)) = meet(complement(X_287),X_288),
inference(subst,[],[refute_0_107:[bind(X_14,$fot(X_288)),bind(X_15,$fot(complement(X_287)))]]) ).
cnf(refute_0_573,plain,
( meet(X_288,complement(X_287)) != meet(complement(X_287),X_288)
| meet(complement(X_287),X_288) = meet(X_288,complement(X_287)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(meet(X_288,complement(X_287)))),bind(Y,$fot(meet(complement(X_287),X_288)))]]) ).
cnf(refute_0_574,plain,
meet(complement(X_287),X_288) = meet(X_288,complement(X_287)),
inference(resolve,[$cnf( $equal(meet(X_288,complement(X_287)),meet(complement(X_287),X_288)) )],[refute_0_572,refute_0_573]) ).
cnf(refute_0_575,plain,
( meet(complement(X_287),X_288) != meet(X_288,complement(X_287))
| top != join(X_287,join(complement(X_288),meet(complement(X_287),X_288)))
| top = join(X_287,join(complement(X_288),meet(X_288,complement(X_287)))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(X_287,join(complement(X_288),meet(complement(X_287),X_288)))) ),[1,1,1],$fot(meet(X_288,complement(X_287)))]]) ).
cnf(refute_0_576,plain,
( top != join(X_287,join(complement(X_288),meet(complement(X_287),X_288)))
| top = join(X_287,join(complement(X_288),meet(X_288,complement(X_287)))) ),
inference(resolve,[$cnf( $equal(meet(complement(X_287),X_288),meet(X_288,complement(X_287))) )],[refute_0_574,refute_0_575]) ).
cnf(refute_0_577,plain,
top = join(X_287,join(complement(X_288),meet(X_288,complement(X_287)))),
inference(resolve,[$cnf( $equal(top,join(X_287,join(complement(X_288),meet(complement(X_287),X_288)))) )],[refute_0_571,refute_0_576]) ).
cnf(refute_0_578,plain,
top = join(complement(X_307),join(complement(X_288),meet(X_288,complement(complement(X_307))))),
inference(subst,[],[refute_0_577:[bind(X_287,$fot(complement(X_307)))]]) ).
cnf(refute_0_579,plain,
( top != join(complement(X_307),join(complement(X_288),meet(X_288,complement(complement(X_307)))))
| join(complement(X_307),join(complement(X_288),meet(X_288,complement(complement(X_307))))) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(complement(X_307),join(complement(X_288),meet(X_288,complement(complement(X_307)))))))]]) ).
cnf(refute_0_580,plain,
join(complement(X_307),join(complement(X_288),meet(X_288,complement(complement(X_307))))) = top,
inference(resolve,[$cnf( $equal(top,join(complement(X_307),join(complement(X_288),meet(X_288,complement(complement(X_307)))))) )],[refute_0_578,refute_0_579]) ).
cnf(refute_0_581,plain,
( join(complement(X_307),join(complement(X_288),meet(X_288,complement(complement(X_307))))) != top
| meet(X_307,complement(join(complement(X_288),meet(X_288,complement(complement(X_307)))))) != complement(join(complement(X_307),join(complement(X_288),meet(X_288,complement(complement(X_307))))))
| meet(X_307,complement(join(complement(X_288),meet(X_288,complement(complement(X_307)))))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_307,complement(join(complement(X_288),meet(X_288,complement(complement(X_307)))))),complement(join(complement(X_307),join(complement(X_288),meet(X_288,complement(complement(X_307))))))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_582,plain,
( meet(X_307,complement(join(complement(X_288),meet(X_288,complement(complement(X_307)))))) != complement(join(complement(X_307),join(complement(X_288),meet(X_288,complement(complement(X_307))))))
| meet(X_307,complement(join(complement(X_288),meet(X_288,complement(complement(X_307)))))) = complement(top) ),
inference(resolve,[$cnf( $equal(join(complement(X_307),join(complement(X_288),meet(X_288,complement(complement(X_307))))),top) )],[refute_0_580,refute_0_581]) ).
cnf(refute_0_583,plain,
meet(X_307,complement(join(complement(X_288),meet(X_288,complement(complement(X_307)))))) = complement(top),
inference(resolve,[$cnf( $equal(meet(X_307,complement(join(complement(X_288),meet(X_288,complement(complement(X_307)))))),complement(join(complement(X_307),join(complement(X_288),meet(X_288,complement(complement(X_307))))))) )],[refute_0_544,refute_0_582]) ).
cnf(refute_0_584,plain,
join(complement(X0),complement(X1)) = join(meet(join(complement(X0),complement(X1)),X_43),complement(join(complement(join(complement(X0),complement(X1))),X_43))),
inference(subst,[],[refute_0_31:[bind(X0,$fot(join(complement(X0),complement(X1)))),bind(X1,$fot(X_43))]]) ).
cnf(refute_0_585,plain,
( complement(join(complement(X0),complement(X1))) != meet(X0,X1)
| join(complement(X0),complement(X1)) != join(meet(join(complement(X0),complement(X1)),X_43),complement(join(complement(join(complement(X0),complement(X1))),X_43)))
| join(complement(X0),complement(X1)) = join(meet(join(complement(X0),complement(X1)),X_43),complement(join(meet(X0,X1),X_43))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X0),complement(X1)),join(meet(join(complement(X0),complement(X1)),X_43),complement(join(complement(join(complement(X0),complement(X1))),X_43)))) ),[1,1,0,0],$fot(meet(X0,X1))]]) ).
cnf(refute_0_586,plain,
( join(complement(X0),complement(X1)) != join(meet(join(complement(X0),complement(X1)),X_43),complement(join(complement(join(complement(X0),complement(X1))),X_43)))
| join(complement(X0),complement(X1)) = join(meet(join(complement(X0),complement(X1)),X_43),complement(join(meet(X0,X1),X_43))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X0),complement(X1))),meet(X0,X1)) )],[refute_0_19,refute_0_585]) ).
cnf(refute_0_587,plain,
join(complement(X0),complement(X1)) = join(meet(join(complement(X0),complement(X1)),X_43),complement(join(meet(X0,X1),X_43))),
inference(resolve,[$cnf( $equal(join(complement(X0),complement(X1)),join(meet(join(complement(X0),complement(X1)),X_43),complement(join(complement(join(complement(X0),complement(X1))),X_43)))) )],[refute_0_584,refute_0_586]) ).
cnf(refute_0_588,plain,
meet(join(complement(X0),complement(X1)),X_43) = complement(join(meet(X0,X1),complement(X_43))),
inference(subst,[],[refute_0_64:[bind(X1,$fot(X_43)),bind(X_14,$fot(X0)),bind(X_15,$fot(X1))]]) ).
cnf(refute_0_589,plain,
join(complement(join(meet(X0,X1),X_43)),meet(join(complement(X0),complement(X1)),X_43)) = join(complement(join(meet(X0,X1),X_43)),meet(join(complement(X0),complement(X1)),X_43)),
introduced(tautology,[refl,[$fot(join(complement(join(meet(X0,X1),X_43)),meet(join(complement(X0),complement(X1)),X_43)))]]) ).
cnf(refute_0_590,plain,
( join(complement(join(meet(X0,X1),X_43)),meet(join(complement(X0),complement(X1)),X_43)) != join(complement(join(meet(X0,X1),X_43)),meet(join(complement(X0),complement(X1)),X_43))
| meet(join(complement(X0),complement(X1)),X_43) != complement(join(meet(X0,X1),complement(X_43)))
| join(complement(join(meet(X0,X1),X_43)),meet(join(complement(X0),complement(X1)),X_43)) = join(complement(join(meet(X0,X1),X_43)),complement(join(meet(X0,X1),complement(X_43)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(join(meet(X0,X1),X_43)),meet(join(complement(X0),complement(X1)),X_43)),join(complement(join(meet(X0,X1),X_43)),meet(join(complement(X0),complement(X1)),X_43))) ),[1,1],$fot(complement(join(meet(X0,X1),complement(X_43))))]]) ).
cnf(refute_0_591,plain,
( meet(join(complement(X0),complement(X1)),X_43) != complement(join(meet(X0,X1),complement(X_43)))
| join(complement(join(meet(X0,X1),X_43)),meet(join(complement(X0),complement(X1)),X_43)) = join(complement(join(meet(X0,X1),X_43)),complement(join(meet(X0,X1),complement(X_43)))) ),
inference(resolve,[$cnf( $equal(join(complement(join(meet(X0,X1),X_43)),meet(join(complement(X0),complement(X1)),X_43)),join(complement(join(meet(X0,X1),X_43)),meet(join(complement(X0),complement(X1)),X_43))) )],[refute_0_589,refute_0_590]) ).
cnf(refute_0_592,plain,
join(complement(join(meet(X0,X1),X_43)),meet(join(complement(X0),complement(X1)),X_43)) = join(complement(join(meet(X0,X1),X_43)),complement(join(meet(X0,X1),complement(X_43)))),
inference(resolve,[$cnf( $equal(meet(join(complement(X0),complement(X1)),X_43),complement(join(meet(X0,X1),complement(X_43)))) )],[refute_0_588,refute_0_591]) ).
cnf(refute_0_593,plain,
join(meet(join(complement(X0),complement(X1)),X_43),complement(join(meet(X0,X1),X_43))) = join(complement(join(meet(X0,X1),X_43)),meet(join(complement(X0),complement(X1)),X_43)),
inference(subst,[],[refute_0_6:[bind(X0,$fot(complement(join(meet(X0,X1),X_43)))),bind(X1,$fot(meet(join(complement(X0),complement(X1)),X_43)))]]) ).
cnf(refute_0_594,plain,
( join(complement(join(meet(X0,X1),X_43)),meet(join(complement(X0),complement(X1)),X_43)) != join(complement(join(meet(X0,X1),X_43)),complement(join(meet(X0,X1),complement(X_43))))
| join(meet(join(complement(X0),complement(X1)),X_43),complement(join(meet(X0,X1),X_43))) != join(complement(join(meet(X0,X1),X_43)),meet(join(complement(X0),complement(X1)),X_43))
| join(meet(join(complement(X0),complement(X1)),X_43),complement(join(meet(X0,X1),X_43))) = join(complement(join(meet(X0,X1),X_43)),complement(join(meet(X0,X1),complement(X_43)))) ),
inference(subst,[],[refute_0_25:[bind(X,$fot(join(meet(join(complement(X0),complement(X1)),X_43),complement(join(meet(X0,X1),X_43))))),bind(Y,$fot(join(complement(join(meet(X0,X1),X_43)),meet(join(complement(X0),complement(X1)),X_43)))),bind(Z,$fot(join(complement(join(meet(X0,X1),X_43)),complement(join(meet(X0,X1),complement(X_43))))))]]) ).
cnf(refute_0_595,plain,
( join(complement(join(meet(X0,X1),X_43)),meet(join(complement(X0),complement(X1)),X_43)) != join(complement(join(meet(X0,X1),X_43)),complement(join(meet(X0,X1),complement(X_43))))
| join(meet(join(complement(X0),complement(X1)),X_43),complement(join(meet(X0,X1),X_43))) = join(complement(join(meet(X0,X1),X_43)),complement(join(meet(X0,X1),complement(X_43)))) ),
inference(resolve,[$cnf( $equal(join(meet(join(complement(X0),complement(X1)),X_43),complement(join(meet(X0,X1),X_43))),join(complement(join(meet(X0,X1),X_43)),meet(join(complement(X0),complement(X1)),X_43))) )],[refute_0_593,refute_0_594]) ).
cnf(refute_0_596,plain,
join(meet(join(complement(X0),complement(X1)),X_43),complement(join(meet(X0,X1),X_43))) = join(complement(join(meet(X0,X1),X_43)),complement(join(meet(X0,X1),complement(X_43)))),
inference(resolve,[$cnf( $equal(join(complement(join(meet(X0,X1),X_43)),meet(join(complement(X0),complement(X1)),X_43)),join(complement(join(meet(X0,X1),X_43)),complement(join(meet(X0,X1),complement(X_43))))) )],[refute_0_592,refute_0_595]) ).
cnf(refute_0_597,plain,
( join(complement(X0),complement(X1)) != join(meet(join(complement(X0),complement(X1)),X_43),complement(join(meet(X0,X1),X_43)))
| join(meet(join(complement(X0),complement(X1)),X_43),complement(join(meet(X0,X1),X_43))) != join(complement(join(meet(X0,X1),X_43)),complement(join(meet(X0,X1),complement(X_43))))
| join(complement(X0),complement(X1)) = join(complement(join(meet(X0,X1),X_43)),complement(join(meet(X0,X1),complement(X_43)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(complement(X0),complement(X1)),join(complement(join(meet(X0,X1),X_43)),complement(join(meet(X0,X1),complement(X_43))))) ),[0],$fot(join(meet(join(complement(X0),complement(X1)),X_43),complement(join(meet(X0,X1),X_43))))]]) ).
cnf(refute_0_598,plain,
( join(complement(X0),complement(X1)) != join(meet(join(complement(X0),complement(X1)),X_43),complement(join(meet(X0,X1),X_43)))
| join(complement(X0),complement(X1)) = join(complement(join(meet(X0,X1),X_43)),complement(join(meet(X0,X1),complement(X_43)))) ),
inference(resolve,[$cnf( $equal(join(meet(join(complement(X0),complement(X1)),X_43),complement(join(meet(X0,X1),X_43))),join(complement(join(meet(X0,X1),X_43)),complement(join(meet(X0,X1),complement(X_43))))) )],[refute_0_596,refute_0_597]) ).
cnf(refute_0_599,plain,
join(complement(X0),complement(X1)) = join(complement(join(meet(X0,X1),X_43)),complement(join(meet(X0,X1),complement(X_43)))),
inference(resolve,[$cnf( $equal(join(complement(X0),complement(X1)),join(meet(join(complement(X0),complement(X1)),X_43),complement(join(meet(X0,X1),X_43)))) )],[refute_0_587,refute_0_598]) ).
cnf(refute_0_600,plain,
( meet(complement(X_18),X1) != complement(join(X_18,complement(X1)))
| complement(join(X_18,complement(X1))) = meet(complement(X_18),X1) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(meet(complement(X_18),X1))),bind(Y,$fot(complement(join(X_18,complement(X1)))))]]) ).
cnf(refute_0_601,plain,
complement(join(X_18,complement(X1))) = meet(complement(X_18),X1),
inference(resolve,[$cnf( $equal(meet(complement(X_18),X1),complement(join(X_18,complement(X1)))) )],[refute_0_423,refute_0_600]) ).
cnf(refute_0_602,plain,
complement(join(meet(X0,X1),complement(X_43))) = meet(complement(meet(X0,X1)),X_43),
inference(subst,[],[refute_0_601:[bind(X1,$fot(X_43)),bind(X_18,$fot(meet(X0,X1)))]]) ).
cnf(refute_0_603,plain,
join(complement(join(meet(X0,X1),X_43)),complement(join(meet(X0,X1),complement(X_43)))) = join(complement(join(meet(X0,X1),X_43)),complement(join(meet(X0,X1),complement(X_43)))),
introduced(tautology,[refl,[$fot(join(complement(join(meet(X0,X1),X_43)),complement(join(meet(X0,X1),complement(X_43)))))]]) ).
cnf(refute_0_604,plain,
( complement(join(meet(X0,X1),complement(X_43))) != meet(complement(meet(X0,X1)),X_43)
| join(complement(join(meet(X0,X1),X_43)),complement(join(meet(X0,X1),complement(X_43)))) != join(complement(join(meet(X0,X1),X_43)),complement(join(meet(X0,X1),complement(X_43))))
| join(complement(join(meet(X0,X1),X_43)),complement(join(meet(X0,X1),complement(X_43)))) = join(complement(join(meet(X0,X1),X_43)),meet(complement(meet(X0,X1)),X_43)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(join(meet(X0,X1),X_43)),complement(join(meet(X0,X1),complement(X_43)))),join(complement(join(meet(X0,X1),X_43)),complement(join(meet(X0,X1),complement(X_43))))) ),[1,1],$fot(meet(complement(meet(X0,X1)),X_43))]]) ).
cnf(refute_0_605,plain,
( complement(join(meet(X0,X1),complement(X_43))) != meet(complement(meet(X0,X1)),X_43)
| join(complement(join(meet(X0,X1),X_43)),complement(join(meet(X0,X1),complement(X_43)))) = join(complement(join(meet(X0,X1),X_43)),meet(complement(meet(X0,X1)),X_43)) ),
inference(resolve,[$cnf( $equal(join(complement(join(meet(X0,X1),X_43)),complement(join(meet(X0,X1),complement(X_43)))),join(complement(join(meet(X0,X1),X_43)),complement(join(meet(X0,X1),complement(X_43))))) )],[refute_0_603,refute_0_604]) ).
cnf(refute_0_606,plain,
join(complement(join(meet(X0,X1),X_43)),complement(join(meet(X0,X1),complement(X_43)))) = join(complement(join(meet(X0,X1),X_43)),meet(complement(meet(X0,X1)),X_43)),
inference(resolve,[$cnf( $equal(complement(join(meet(X0,X1),complement(X_43))),meet(complement(meet(X0,X1)),X_43)) )],[refute_0_602,refute_0_605]) ).
cnf(refute_0_607,plain,
( join(complement(X0),complement(X1)) != join(complement(join(meet(X0,X1),X_43)),complement(join(meet(X0,X1),complement(X_43))))
| join(complement(join(meet(X0,X1),X_43)),complement(join(meet(X0,X1),complement(X_43)))) != join(complement(join(meet(X0,X1),X_43)),meet(complement(meet(X0,X1)),X_43))
| join(complement(X0),complement(X1)) = join(complement(join(meet(X0,X1),X_43)),meet(complement(meet(X0,X1)),X_43)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(complement(X0),complement(X1)),join(complement(join(meet(X0,X1),X_43)),meet(complement(meet(X0,X1)),X_43))) ),[0],$fot(join(complement(join(meet(X0,X1),X_43)),complement(join(meet(X0,X1),complement(X_43)))))]]) ).
cnf(refute_0_608,plain,
( join(complement(X0),complement(X1)) != join(complement(join(meet(X0,X1),X_43)),complement(join(meet(X0,X1),complement(X_43))))
| join(complement(X0),complement(X1)) = join(complement(join(meet(X0,X1),X_43)),meet(complement(meet(X0,X1)),X_43)) ),
inference(resolve,[$cnf( $equal(join(complement(join(meet(X0,X1),X_43)),complement(join(meet(X0,X1),complement(X_43)))),join(complement(join(meet(X0,X1),X_43)),meet(complement(meet(X0,X1)),X_43))) )],[refute_0_606,refute_0_607]) ).
cnf(refute_0_609,plain,
join(complement(X0),complement(X1)) = join(complement(join(meet(X0,X1),X_43)),meet(complement(meet(X0,X1)),X_43)),
inference(resolve,[$cnf( $equal(join(complement(X0),complement(X1)),join(complement(join(meet(X0,X1),X_43)),complement(join(meet(X0,X1),complement(X_43))))) )],[refute_0_599,refute_0_608]) ).
cnf(refute_0_610,plain,
join(zero,complement(X1)) = join(meet(join(zero,complement(X1)),X_43),complement(join(complement(join(zero,complement(X1))),X_43))),
inference(subst,[],[refute_0_31:[bind(X0,$fot(join(zero,complement(X1)))),bind(X1,$fot(X_43))]]) ).
cnf(refute_0_611,plain,
( complement(join(zero,complement(X1))) != meet(top,X1)
| join(zero,complement(X1)) != join(meet(join(zero,complement(X1)),X_43),complement(join(complement(join(zero,complement(X1))),X_43)))
| join(zero,complement(X1)) = join(meet(join(zero,complement(X1)),X_43),complement(join(meet(top,X1),X_43))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,complement(X1)),join(meet(join(zero,complement(X1)),X_43),complement(join(complement(join(zero,complement(X1))),X_43)))) ),[1,1,0,0],$fot(meet(top,X1))]]) ).
cnf(refute_0_612,plain,
( join(zero,complement(X1)) != join(meet(join(zero,complement(X1)),X_43),complement(join(complement(join(zero,complement(X1))),X_43)))
| join(zero,complement(X1)) = join(meet(join(zero,complement(X1)),X_43),complement(join(meet(top,X1),X_43))) ),
inference(resolve,[$cnf( $equal(complement(join(zero,complement(X1))),meet(top,X1)) )],[refute_0_264,refute_0_611]) ).
cnf(refute_0_613,plain,
join(zero,complement(X1)) = join(meet(join(zero,complement(X1)),X_43),complement(join(meet(top,X1),X_43))),
inference(resolve,[$cnf( $equal(join(zero,complement(X1)),join(meet(join(zero,complement(X1)),X_43),complement(join(complement(join(zero,complement(X1))),X_43)))) )],[refute_0_610,refute_0_612]) ).
cnf(refute_0_614,plain,
join(meet(join(zero,complement(X1)),X_43),complement(join(meet(top,X1),X_43))) = join(complement(join(meet(top,X1),X_43)),meet(join(zero,complement(X1)),X_43)),
inference(subst,[],[refute_0_6:[bind(X0,$fot(complement(join(meet(top,X1),X_43)))),bind(X1,$fot(meet(join(zero,complement(X1)),X_43)))]]) ).
cnf(refute_0_615,plain,
( join(meet(join(zero,complement(X1)),X_43),complement(join(meet(top,X1),X_43))) != join(complement(join(meet(top,X1),X_43)),meet(join(zero,complement(X1)),X_43))
| join(zero,complement(X1)) != join(meet(join(zero,complement(X1)),X_43),complement(join(meet(top,X1),X_43)))
| join(zero,complement(X1)) = join(complement(join(meet(top,X1),X_43)),meet(join(zero,complement(X1)),X_43)) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,complement(X1)),join(meet(join(zero,complement(X1)),X_43),complement(join(meet(top,X1),X_43)))) ),[1],$fot(join(complement(join(meet(top,X1),X_43)),meet(join(zero,complement(X1)),X_43)))]]) ).
cnf(refute_0_616,plain,
( join(zero,complement(X1)) != join(meet(join(zero,complement(X1)),X_43),complement(join(meet(top,X1),X_43)))
| join(zero,complement(X1)) = join(complement(join(meet(top,X1),X_43)),meet(join(zero,complement(X1)),X_43)) ),
inference(resolve,[$cnf( $equal(join(meet(join(zero,complement(X1)),X_43),complement(join(meet(top,X1),X_43))),join(complement(join(meet(top,X1),X_43)),meet(join(zero,complement(X1)),X_43))) )],[refute_0_614,refute_0_615]) ).
cnf(refute_0_617,plain,
join(zero,complement(X1)) = join(complement(join(meet(top,X1),X_43)),meet(join(zero,complement(X1)),X_43)),
inference(resolve,[$cnf( $equal(join(zero,complement(X1)),join(meet(join(zero,complement(X1)),X_43),complement(join(meet(top,X1),X_43)))) )],[refute_0_613,refute_0_616]) ).
cnf(refute_0_618,plain,
( join(zero,complement(X1)) != complement(X1)
| join(zero,complement(X1)) != join(complement(join(meet(top,X1),X_43)),meet(join(zero,complement(X1)),X_43))
| complement(X1) = join(complement(join(meet(top,X1),X_43)),meet(join(zero,complement(X1)),X_43)) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,complement(X1)),join(complement(join(meet(top,X1),X_43)),meet(join(zero,complement(X1)),X_43))) ),[0],$fot(complement(X1))]]) ).
cnf(refute_0_619,plain,
( join(zero,complement(X1)) != join(complement(join(meet(top,X1),X_43)),meet(join(zero,complement(X1)),X_43))
| complement(X1) = join(complement(join(meet(top,X1),X_43)),meet(join(zero,complement(X1)),X_43)) ),
inference(resolve,[$cnf( $equal(join(zero,complement(X1)),complement(X1)) )],[refute_0_400,refute_0_618]) ).
cnf(refute_0_620,plain,
meet(join(zero,complement(X1)),X_43) = meet(join(zero,complement(X1)),X_43),
introduced(tautology,[refl,[$fot(meet(join(zero,complement(X1)),X_43))]]) ).
cnf(refute_0_621,plain,
( join(zero,complement(X1)) != complement(X1)
| meet(join(zero,complement(X1)),X_43) != meet(join(zero,complement(X1)),X_43)
| meet(join(zero,complement(X1)),X_43) = meet(complement(X1),X_43) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(zero,complement(X1)),X_43),meet(join(zero,complement(X1)),X_43)) ),[1,0],$fot(complement(X1))]]) ).
cnf(refute_0_622,plain,
( join(zero,complement(X1)) != complement(X1)
| meet(join(zero,complement(X1)),X_43) = meet(complement(X1),X_43) ),
inference(resolve,[$cnf( $equal(meet(join(zero,complement(X1)),X_43),meet(join(zero,complement(X1)),X_43)) )],[refute_0_620,refute_0_621]) ).
cnf(refute_0_623,plain,
meet(join(zero,complement(X1)),X_43) = meet(complement(X1),X_43),
inference(resolve,[$cnf( $equal(join(zero,complement(X1)),complement(X1)) )],[refute_0_400,refute_0_622]) ).
cnf(refute_0_624,plain,
join(complement(join(X1,X_43)),meet(join(zero,complement(X1)),X_43)) = join(complement(join(X1,X_43)),meet(join(zero,complement(X1)),X_43)),
introduced(tautology,[refl,[$fot(join(complement(join(X1,X_43)),meet(join(zero,complement(X1)),X_43)))]]) ).
cnf(refute_0_625,plain,
( join(complement(join(X1,X_43)),meet(join(zero,complement(X1)),X_43)) != join(complement(join(X1,X_43)),meet(join(zero,complement(X1)),X_43))
| meet(join(zero,complement(X1)),X_43) != meet(complement(X1),X_43)
| join(complement(join(X1,X_43)),meet(join(zero,complement(X1)),X_43)) = join(complement(join(X1,X_43)),meet(complement(X1),X_43)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(join(X1,X_43)),meet(join(zero,complement(X1)),X_43)),join(complement(join(X1,X_43)),meet(join(zero,complement(X1)),X_43))) ),[1,1],$fot(meet(complement(X1),X_43))]]) ).
cnf(refute_0_626,plain,
( meet(join(zero,complement(X1)),X_43) != meet(complement(X1),X_43)
| join(complement(join(X1,X_43)),meet(join(zero,complement(X1)),X_43)) = join(complement(join(X1,X_43)),meet(complement(X1),X_43)) ),
inference(resolve,[$cnf( $equal(join(complement(join(X1,X_43)),meet(join(zero,complement(X1)),X_43)),join(complement(join(X1,X_43)),meet(join(zero,complement(X1)),X_43))) )],[refute_0_624,refute_0_625]) ).
cnf(refute_0_627,plain,
join(complement(join(X1,X_43)),meet(join(zero,complement(X1)),X_43)) = join(complement(join(X1,X_43)),meet(complement(X1),X_43)),
inference(resolve,[$cnf( $equal(meet(join(zero,complement(X1)),X_43),meet(complement(X1),X_43)) )],[refute_0_623,refute_0_626]) ).
cnf(refute_0_628,plain,
join(meet(top,X1),X_43) = join(meet(top,X1),X_43),
introduced(tautology,[refl,[$fot(join(meet(top,X1),X_43))]]) ).
cnf(refute_0_629,plain,
( join(meet(top,X1),X_43) != join(meet(top,X1),X_43)
| meet(top,X1) != X1
| join(meet(top,X1),X_43) = join(X1,X_43) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(top,X1),X_43),join(meet(top,X1),X_43)) ),[1,0],$fot(X1)]]) ).
cnf(refute_0_630,plain,
( meet(top,X1) != X1
| join(meet(top,X1),X_43) = join(X1,X_43) ),
inference(resolve,[$cnf( $equal(join(meet(top,X1),X_43),join(meet(top,X1),X_43)) )],[refute_0_628,refute_0_629]) ).
cnf(refute_0_631,plain,
join(meet(top,X1),X_43) = join(X1,X_43),
inference(resolve,[$cnf( $equal(meet(top,X1),X1) )],[refute_0_410,refute_0_630]) ).
cnf(refute_0_632,plain,
complement(join(meet(top,X1),X_43)) = complement(join(meet(top,X1),X_43)),
introduced(tautology,[refl,[$fot(complement(join(meet(top,X1),X_43)))]]) ).
cnf(refute_0_633,plain,
( complement(join(meet(top,X1),X_43)) != complement(join(meet(top,X1),X_43))
| join(meet(top,X1),X_43) != join(X1,X_43)
| complement(join(meet(top,X1),X_43)) = complement(join(X1,X_43)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(meet(top,X1),X_43)),complement(join(meet(top,X1),X_43))) ),[1,0],$fot(join(X1,X_43))]]) ).
cnf(refute_0_634,plain,
( join(meet(top,X1),X_43) != join(X1,X_43)
| complement(join(meet(top,X1),X_43)) = complement(join(X1,X_43)) ),
inference(resolve,[$cnf( $equal(complement(join(meet(top,X1),X_43)),complement(join(meet(top,X1),X_43))) )],[refute_0_632,refute_0_633]) ).
cnf(refute_0_635,plain,
complement(join(meet(top,X1),X_43)) = complement(join(X1,X_43)),
inference(resolve,[$cnf( $equal(join(meet(top,X1),X_43),join(X1,X_43)) )],[refute_0_631,refute_0_634]) ).
cnf(refute_0_636,plain,
join(complement(join(meet(top,X1),X_43)),meet(join(zero,complement(X1)),X_43)) = join(complement(join(meet(top,X1),X_43)),meet(join(zero,complement(X1)),X_43)),
introduced(tautology,[refl,[$fot(join(complement(join(meet(top,X1),X_43)),meet(join(zero,complement(X1)),X_43)))]]) ).
cnf(refute_0_637,plain,
( complement(join(meet(top,X1),X_43)) != complement(join(X1,X_43))
| join(complement(join(meet(top,X1),X_43)),meet(join(zero,complement(X1)),X_43)) != join(complement(join(meet(top,X1),X_43)),meet(join(zero,complement(X1)),X_43))
| join(complement(join(meet(top,X1),X_43)),meet(join(zero,complement(X1)),X_43)) = join(complement(join(X1,X_43)),meet(join(zero,complement(X1)),X_43)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(join(meet(top,X1),X_43)),meet(join(zero,complement(X1)),X_43)),join(complement(join(meet(top,X1),X_43)),meet(join(zero,complement(X1)),X_43))) ),[1,0],$fot(complement(join(X1,X_43)))]]) ).
cnf(refute_0_638,plain,
( complement(join(meet(top,X1),X_43)) != complement(join(X1,X_43))
| join(complement(join(meet(top,X1),X_43)),meet(join(zero,complement(X1)),X_43)) = join(complement(join(X1,X_43)),meet(join(zero,complement(X1)),X_43)) ),
inference(resolve,[$cnf( $equal(join(complement(join(meet(top,X1),X_43)),meet(join(zero,complement(X1)),X_43)),join(complement(join(meet(top,X1),X_43)),meet(join(zero,complement(X1)),X_43))) )],[refute_0_636,refute_0_637]) ).
cnf(refute_0_639,plain,
join(complement(join(meet(top,X1),X_43)),meet(join(zero,complement(X1)),X_43)) = join(complement(join(X1,X_43)),meet(join(zero,complement(X1)),X_43)),
inference(resolve,[$cnf( $equal(complement(join(meet(top,X1),X_43)),complement(join(X1,X_43))) )],[refute_0_635,refute_0_638]) ).
cnf(refute_0_640,plain,
( join(complement(join(X1,X_43)),meet(join(zero,complement(X1)),X_43)) != join(complement(join(X1,X_43)),meet(complement(X1),X_43))
| join(complement(join(meet(top,X1),X_43)),meet(join(zero,complement(X1)),X_43)) != join(complement(join(X1,X_43)),meet(join(zero,complement(X1)),X_43))
| join(complement(join(meet(top,X1),X_43)),meet(join(zero,complement(X1)),X_43)) = join(complement(join(X1,X_43)),meet(complement(X1),X_43)) ),
inference(subst,[],[refute_0_25:[bind(X,$fot(join(complement(join(meet(top,X1),X_43)),meet(join(zero,complement(X1)),X_43)))),bind(Y,$fot(join(complement(join(X1,X_43)),meet(join(zero,complement(X1)),X_43)))),bind(Z,$fot(join(complement(join(X1,X_43)),meet(complement(X1),X_43))))]]) ).
cnf(refute_0_641,plain,
( join(complement(join(X1,X_43)),meet(join(zero,complement(X1)),X_43)) != join(complement(join(X1,X_43)),meet(complement(X1),X_43))
| join(complement(join(meet(top,X1),X_43)),meet(join(zero,complement(X1)),X_43)) = join(complement(join(X1,X_43)),meet(complement(X1),X_43)) ),
inference(resolve,[$cnf( $equal(join(complement(join(meet(top,X1),X_43)),meet(join(zero,complement(X1)),X_43)),join(complement(join(X1,X_43)),meet(join(zero,complement(X1)),X_43))) )],[refute_0_639,refute_0_640]) ).
cnf(refute_0_642,plain,
join(complement(join(meet(top,X1),X_43)),meet(join(zero,complement(X1)),X_43)) = join(complement(join(X1,X_43)),meet(complement(X1),X_43)),
inference(resolve,[$cnf( $equal(join(complement(join(X1,X_43)),meet(join(zero,complement(X1)),X_43)),join(complement(join(X1,X_43)),meet(complement(X1),X_43))) )],[refute_0_627,refute_0_641]) ).
cnf(refute_0_643,plain,
( complement(X1) != join(complement(join(meet(top,X1),X_43)),meet(join(zero,complement(X1)),X_43))
| join(complement(join(meet(top,X1),X_43)),meet(join(zero,complement(X1)),X_43)) != join(complement(join(X1,X_43)),meet(complement(X1),X_43))
| complement(X1) = join(complement(join(X1,X_43)),meet(complement(X1),X_43)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(X1),join(complement(join(X1,X_43)),meet(complement(X1),X_43))) ),[0],$fot(join(complement(join(meet(top,X1),X_43)),meet(join(zero,complement(X1)),X_43)))]]) ).
cnf(refute_0_644,plain,
( complement(X1) != join(complement(join(meet(top,X1),X_43)),meet(join(zero,complement(X1)),X_43))
| complement(X1) = join(complement(join(X1,X_43)),meet(complement(X1),X_43)) ),
inference(resolve,[$cnf( $equal(join(complement(join(meet(top,X1),X_43)),meet(join(zero,complement(X1)),X_43)),join(complement(join(X1,X_43)),meet(complement(X1),X_43))) )],[refute_0_642,refute_0_643]) ).
cnf(refute_0_645,plain,
( join(zero,complement(X1)) != join(complement(join(meet(top,X1),X_43)),meet(join(zero,complement(X1)),X_43))
| complement(X1) = join(complement(join(X1,X_43)),meet(complement(X1),X_43)) ),
inference(resolve,[$cnf( $equal(complement(X1),join(complement(join(meet(top,X1),X_43)),meet(join(zero,complement(X1)),X_43))) )],[refute_0_619,refute_0_644]) ).
cnf(refute_0_646,plain,
complement(X1) = join(complement(join(X1,X_43)),meet(complement(X1),X_43)),
inference(resolve,[$cnf( $equal(join(zero,complement(X1)),join(complement(join(meet(top,X1),X_43)),meet(join(zero,complement(X1)),X_43))) )],[refute_0_617,refute_0_645]) ).
cnf(refute_0_647,plain,
( complement(X1) != join(complement(join(X1,X_43)),meet(complement(X1),X_43))
| join(complement(join(X1,X_43)),meet(complement(X1),X_43)) = complement(X1) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(complement(X1))),bind(Y,$fot(join(complement(join(X1,X_43)),meet(complement(X1),X_43))))]]) ).
cnf(refute_0_648,plain,
join(complement(join(X1,X_43)),meet(complement(X1),X_43)) = complement(X1),
inference(resolve,[$cnf( $equal(complement(X1),join(complement(join(X1,X_43)),meet(complement(X1),X_43))) )],[refute_0_646,refute_0_647]) ).
cnf(refute_0_649,plain,
join(complement(join(meet(X0,X1),X_43)),meet(complement(meet(X0,X1)),X_43)) = complement(meet(X0,X1)),
inference(subst,[],[refute_0_648:[bind(X1,$fot(meet(X0,X1)))]]) ).
cnf(refute_0_650,plain,
( join(complement(X0),complement(X1)) != join(complement(join(meet(X0,X1),X_43)),meet(complement(meet(X0,X1)),X_43))
| join(complement(join(meet(X0,X1),X_43)),meet(complement(meet(X0,X1)),X_43)) != complement(meet(X0,X1))
| join(complement(X0),complement(X1)) = complement(meet(X0,X1)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(complement(X0),complement(X1)),complement(meet(X0,X1))) ),[0],$fot(join(complement(join(meet(X0,X1),X_43)),meet(complement(meet(X0,X1)),X_43)))]]) ).
cnf(refute_0_651,plain,
( join(complement(X0),complement(X1)) != join(complement(join(meet(X0,X1),X_43)),meet(complement(meet(X0,X1)),X_43))
| join(complement(X0),complement(X1)) = complement(meet(X0,X1)) ),
inference(resolve,[$cnf( $equal(join(complement(join(meet(X0,X1),X_43)),meet(complement(meet(X0,X1)),X_43)),complement(meet(X0,X1))) )],[refute_0_649,refute_0_650]) ).
cnf(refute_0_652,plain,
join(complement(X0),complement(X1)) = complement(meet(X0,X1)),
inference(resolve,[$cnf( $equal(join(complement(X0),complement(X1)),join(complement(join(meet(X0,X1),X_43)),meet(complement(meet(X0,X1)),X_43))) )],[refute_0_609,refute_0_651]) ).
cnf(refute_0_653,plain,
join(complement(X_288),complement(X_307)) = complement(meet(X_288,X_307)),
inference(subst,[],[refute_0_652:[bind(X0,$fot(X_288)),bind(X1,$fot(X_307))]]) ).
cnf(refute_0_654,plain,
complement(meet(X_288,complement(complement(X_307)))) = join(complement(X_288),complement(X_307)),
inference(subst,[],[refute_0_516:[bind(X_307,$fot(X_288)),bind(X_308,$fot(complement(X_307)))]]) ).
cnf(refute_0_655,plain,
( complement(meet(X_288,complement(complement(X_307)))) != join(complement(X_288),complement(X_307))
| join(complement(X_288),complement(X_307)) != complement(meet(X_288,X_307))
| complement(meet(X_288,complement(complement(X_307)))) = complement(meet(X_288,X_307)) ),
inference(subst,[],[refute_0_25:[bind(X,$fot(complement(meet(X_288,complement(complement(X_307)))))),bind(Y,$fot(join(complement(X_288),complement(X_307)))),bind(Z,$fot(complement(meet(X_288,X_307))))]]) ).
cnf(refute_0_656,plain,
( join(complement(X_288),complement(X_307)) != complement(meet(X_288,X_307))
| complement(meet(X_288,complement(complement(X_307)))) = complement(meet(X_288,X_307)) ),
inference(resolve,[$cnf( $equal(complement(meet(X_288,complement(complement(X_307)))),join(complement(X_288),complement(X_307))) )],[refute_0_654,refute_0_655]) ).
cnf(refute_0_657,plain,
complement(meet(X_288,complement(complement(X_307)))) = complement(meet(X_288,X_307)),
inference(resolve,[$cnf( $equal(join(complement(X_288),complement(X_307)),complement(meet(X_288,X_307))) )],[refute_0_653,refute_0_656]) ).
cnf(refute_0_658,plain,
meet(X_288,complement(meet(X_288,complement(complement(X_307))))) = meet(X_288,complement(meet(X_288,complement(complement(X_307))))),
introduced(tautology,[refl,[$fot(meet(X_288,complement(meet(X_288,complement(complement(X_307))))))]]) ).
cnf(refute_0_659,plain,
( complement(meet(X_288,complement(complement(X_307)))) != complement(meet(X_288,X_307))
| meet(X_288,complement(meet(X_288,complement(complement(X_307))))) != meet(X_288,complement(meet(X_288,complement(complement(X_307)))))
| meet(X_288,complement(meet(X_288,complement(complement(X_307))))) = meet(X_288,complement(meet(X_288,X_307))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_288,complement(meet(X_288,complement(complement(X_307))))),meet(X_288,complement(meet(X_288,complement(complement(X_307)))))) ),[1,1],$fot(complement(meet(X_288,X_307)))]]) ).
cnf(refute_0_660,plain,
( complement(meet(X_288,complement(complement(X_307)))) != complement(meet(X_288,X_307))
| meet(X_288,complement(meet(X_288,complement(complement(X_307))))) = meet(X_288,complement(meet(X_288,X_307))) ),
inference(resolve,[$cnf( $equal(meet(X_288,complement(meet(X_288,complement(complement(X_307))))),meet(X_288,complement(meet(X_288,complement(complement(X_307)))))) )],[refute_0_658,refute_0_659]) ).
cnf(refute_0_661,plain,
meet(X_288,complement(meet(X_288,complement(complement(X_307))))) = meet(X_288,complement(meet(X_288,X_307))),
inference(resolve,[$cnf( $equal(complement(meet(X_288,complement(complement(X_307)))),complement(meet(X_288,X_307))) )],[refute_0_657,refute_0_660]) ).
cnf(refute_0_662,plain,
complement(join(complement(X_288),meet(X_288,complement(complement(X_307))))) = meet(X_288,complement(meet(X_288,complement(complement(X_307))))),
inference(subst,[],[refute_0_523:[bind(X0,$fot(X_288)),bind(X_18,$fot(meet(X_288,complement(complement(X_307)))))]]) ).
cnf(refute_0_663,plain,
( complement(join(complement(X_288),meet(X_288,complement(complement(X_307))))) != meet(X_288,complement(meet(X_288,complement(complement(X_307)))))
| meet(X_288,complement(meet(X_288,complement(complement(X_307))))) != meet(X_288,complement(meet(X_288,X_307)))
| complement(join(complement(X_288),meet(X_288,complement(complement(X_307))))) = meet(X_288,complement(meet(X_288,X_307))) ),
inference(subst,[],[refute_0_25:[bind(X,$fot(complement(join(complement(X_288),meet(X_288,complement(complement(X_307))))))),bind(Y,$fot(meet(X_288,complement(meet(X_288,complement(complement(X_307))))))),bind(Z,$fot(meet(X_288,complement(meet(X_288,X_307)))))]]) ).
cnf(refute_0_664,plain,
( meet(X_288,complement(meet(X_288,complement(complement(X_307))))) != meet(X_288,complement(meet(X_288,X_307)))
| complement(join(complement(X_288),meet(X_288,complement(complement(X_307))))) = meet(X_288,complement(meet(X_288,X_307))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_288),meet(X_288,complement(complement(X_307))))),meet(X_288,complement(meet(X_288,complement(complement(X_307)))))) )],[refute_0_662,refute_0_663]) ).
cnf(refute_0_665,plain,
complement(join(complement(X_288),meet(X_288,complement(complement(X_307))))) = meet(X_288,complement(meet(X_288,X_307))),
inference(resolve,[$cnf( $equal(meet(X_288,complement(meet(X_288,complement(complement(X_307))))),meet(X_288,complement(meet(X_288,X_307)))) )],[refute_0_661,refute_0_664]) ).
cnf(refute_0_666,plain,
meet(X_307,complement(join(complement(X_288),meet(X_288,complement(complement(X_307)))))) = meet(X_307,complement(join(complement(X_288),meet(X_288,complement(complement(X_307)))))),
introduced(tautology,[refl,[$fot(meet(X_307,complement(join(complement(X_288),meet(X_288,complement(complement(X_307)))))))]]) ).
cnf(refute_0_667,plain,
( complement(join(complement(X_288),meet(X_288,complement(complement(X_307))))) != meet(X_288,complement(meet(X_288,X_307)))
| meet(X_307,complement(join(complement(X_288),meet(X_288,complement(complement(X_307)))))) != meet(X_307,complement(join(complement(X_288),meet(X_288,complement(complement(X_307))))))
| meet(X_307,complement(join(complement(X_288),meet(X_288,complement(complement(X_307)))))) = meet(X_307,meet(X_288,complement(meet(X_288,X_307)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_307,complement(join(complement(X_288),meet(X_288,complement(complement(X_307)))))),meet(X_307,complement(join(complement(X_288),meet(X_288,complement(complement(X_307))))))) ),[1,1],$fot(meet(X_288,complement(meet(X_288,X_307))))]]) ).
cnf(refute_0_668,plain,
( complement(join(complement(X_288),meet(X_288,complement(complement(X_307))))) != meet(X_288,complement(meet(X_288,X_307)))
| meet(X_307,complement(join(complement(X_288),meet(X_288,complement(complement(X_307)))))) = meet(X_307,meet(X_288,complement(meet(X_288,X_307)))) ),
inference(resolve,[$cnf( $equal(meet(X_307,complement(join(complement(X_288),meet(X_288,complement(complement(X_307)))))),meet(X_307,complement(join(complement(X_288),meet(X_288,complement(complement(X_307))))))) )],[refute_0_666,refute_0_667]) ).
cnf(refute_0_669,plain,
meet(X_307,complement(join(complement(X_288),meet(X_288,complement(complement(X_307)))))) = meet(X_307,meet(X_288,complement(meet(X_288,X_307)))),
inference(resolve,[$cnf( $equal(complement(join(complement(X_288),meet(X_288,complement(complement(X_307))))),meet(X_288,complement(meet(X_288,X_307)))) )],[refute_0_665,refute_0_668]) ).
cnf(refute_0_670,plain,
( meet(X_307,complement(join(complement(X_288),meet(X_288,complement(complement(X_307)))))) != complement(top)
| meet(X_307,complement(join(complement(X_288),meet(X_288,complement(complement(X_307)))))) != meet(X_307,meet(X_288,complement(meet(X_288,X_307))))
| meet(X_307,meet(X_288,complement(meet(X_288,X_307)))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_307,complement(join(complement(X_288),meet(X_288,complement(complement(X_307)))))),complement(top)) ),[0],$fot(meet(X_307,meet(X_288,complement(meet(X_288,X_307)))))]]) ).
cnf(refute_0_671,plain,
( meet(X_307,complement(join(complement(X_288),meet(X_288,complement(complement(X_307)))))) != complement(top)
| meet(X_307,meet(X_288,complement(meet(X_288,X_307)))) = complement(top) ),
inference(resolve,[$cnf( $equal(meet(X_307,complement(join(complement(X_288),meet(X_288,complement(complement(X_307)))))),meet(X_307,meet(X_288,complement(meet(X_288,X_307))))) )],[refute_0_669,refute_0_670]) ).
cnf(refute_0_672,plain,
( complement(top) != zero
| meet(X_307,meet(X_288,complement(meet(X_288,X_307)))) != complement(top)
| meet(X_307,meet(X_288,complement(meet(X_288,X_307)))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_307,meet(X_288,complement(meet(X_288,X_307)))),complement(top)) ),[1],$fot(zero)]]) ).
cnf(refute_0_673,plain,
( meet(X_307,meet(X_288,complement(meet(X_288,X_307)))) != complement(top)
| meet(X_307,meet(X_288,complement(meet(X_288,X_307)))) = zero ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_73,refute_0_672]) ).
cnf(refute_0_674,plain,
( meet(X_307,complement(join(complement(X_288),meet(X_288,complement(complement(X_307)))))) != complement(top)
| meet(X_307,meet(X_288,complement(meet(X_288,X_307)))) = zero ),
inference(resolve,[$cnf( $equal(meet(X_307,meet(X_288,complement(meet(X_288,X_307)))),complement(top)) )],[refute_0_671,refute_0_673]) ).
cnf(refute_0_675,plain,
meet(X_307,meet(X_288,complement(meet(X_288,X_307)))) = zero,
inference(resolve,[$cnf( $equal(meet(X_307,complement(join(complement(X_288),meet(X_288,complement(complement(X_307)))))),complement(top)) )],[refute_0_583,refute_0_674]) ).
cnf(refute_0_676,plain,
meet(complement(X_42),meet(X_384,complement(meet(X_384,complement(X_42))))) = zero,
inference(subst,[],[refute_0_675:[bind(X_288,$fot(X_384)),bind(X_307,$fot(complement(X_42)))]]) ).
cnf(refute_0_677,plain,
( meet(X_384,complement(meet(X_384,complement(X_42)))) != meet(meet(X_384,complement(meet(X_384,complement(X_42)))),join(X_42,meet(complement(X_42),meet(X_384,complement(meet(X_384,complement(X_42)))))))
| meet(complement(X_42),meet(X_384,complement(meet(X_384,complement(X_42))))) != zero
| meet(X_384,complement(meet(X_384,complement(X_42)))) = meet(meet(X_384,complement(meet(X_384,complement(X_42)))),join(X_42,zero)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_384,complement(meet(X_384,complement(X_42)))),meet(meet(X_384,complement(meet(X_384,complement(X_42)))),join(X_42,meet(complement(X_42),meet(X_384,complement(meet(X_384,complement(X_42)))))))) ),[1,1,1],$fot(zero)]]) ).
cnf(refute_0_678,plain,
( meet(X_384,complement(meet(X_384,complement(X_42)))) != meet(meet(X_384,complement(meet(X_384,complement(X_42)))),join(X_42,meet(complement(X_42),meet(X_384,complement(meet(X_384,complement(X_42)))))))
| meet(X_384,complement(meet(X_384,complement(X_42)))) = meet(meet(X_384,complement(meet(X_384,complement(X_42)))),join(X_42,zero)) ),
inference(resolve,[$cnf( $equal(meet(complement(X_42),meet(X_384,complement(meet(X_384,complement(X_42))))),zero) )],[refute_0_676,refute_0_677]) ).
cnf(refute_0_679,plain,
meet(X_384,complement(meet(X_384,complement(X_42)))) = meet(meet(X_384,complement(meet(X_384,complement(X_42)))),join(X_42,zero)),
inference(resolve,[$cnf( $equal(meet(X_384,complement(meet(X_384,complement(X_42)))),meet(meet(X_384,complement(meet(X_384,complement(X_42)))),join(X_42,meet(complement(X_42),meet(X_384,complement(meet(X_384,complement(X_42)))))))) )],[refute_0_543,refute_0_678]) ).
cnf(refute_0_680,plain,
complement(meet(X_384,complement(X_42))) = join(complement(X_384),X_42),
inference(subst,[],[refute_0_516:[bind(X_307,$fot(X_384)),bind(X_308,$fot(X_42))]]) ).
cnf(refute_0_681,plain,
meet(X_384,complement(meet(X_384,complement(X_42)))) = meet(X_384,complement(meet(X_384,complement(X_42)))),
introduced(tautology,[refl,[$fot(meet(X_384,complement(meet(X_384,complement(X_42)))))]]) ).
cnf(refute_0_682,plain,
( complement(meet(X_384,complement(X_42))) != join(complement(X_384),X_42)
| meet(X_384,complement(meet(X_384,complement(X_42)))) != meet(X_384,complement(meet(X_384,complement(X_42))))
| meet(X_384,complement(meet(X_384,complement(X_42)))) = meet(X_384,join(complement(X_384),X_42)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_384,complement(meet(X_384,complement(X_42)))),meet(X_384,complement(meet(X_384,complement(X_42))))) ),[1,1],$fot(join(complement(X_384),X_42))]]) ).
cnf(refute_0_683,plain,
( complement(meet(X_384,complement(X_42))) != join(complement(X_384),X_42)
| meet(X_384,complement(meet(X_384,complement(X_42)))) = meet(X_384,join(complement(X_384),X_42)) ),
inference(resolve,[$cnf( $equal(meet(X_384,complement(meet(X_384,complement(X_42)))),meet(X_384,complement(meet(X_384,complement(X_42))))) )],[refute_0_681,refute_0_682]) ).
cnf(refute_0_684,plain,
meet(X_384,complement(meet(X_384,complement(X_42)))) = meet(X_384,join(complement(X_384),X_42)),
inference(resolve,[$cnf( $equal(complement(meet(X_384,complement(X_42))),join(complement(X_384),X_42)) )],[refute_0_680,refute_0_683]) ).
cnf(refute_0_685,plain,
( meet(X_384,complement(meet(X_384,complement(X_42)))) != meet(X_384,join(complement(X_384),X_42))
| meet(X_384,complement(meet(X_384,complement(X_42)))) != meet(meet(X_384,complement(meet(X_384,complement(X_42)))),join(X_42,zero))
| meet(X_384,join(complement(X_384),X_42)) = meet(meet(X_384,complement(meet(X_384,complement(X_42)))),join(X_42,zero)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_384,complement(meet(X_384,complement(X_42)))),meet(meet(X_384,complement(meet(X_384,complement(X_42)))),join(X_42,zero))) ),[0],$fot(meet(X_384,join(complement(X_384),X_42)))]]) ).
cnf(refute_0_686,plain,
( meet(X_384,complement(meet(X_384,complement(X_42)))) != meet(meet(X_384,complement(meet(X_384,complement(X_42)))),join(X_42,zero))
| meet(X_384,join(complement(X_384),X_42)) = meet(meet(X_384,complement(meet(X_384,complement(X_42)))),join(X_42,zero)) ),
inference(resolve,[$cnf( $equal(meet(X_384,complement(meet(X_384,complement(X_42)))),meet(X_384,join(complement(X_384),X_42))) )],[refute_0_684,refute_0_685]) ).
cnf(refute_0_687,plain,
complement(X_248) = join(complement(join(X_248,join(complement(X_248),X_85))),meet(complement(X_248),join(complement(X_248),X_85))),
inference(subst,[],[refute_0_646:[bind(X1,$fot(X_248)),bind(X_43,$fot(join(complement(X_248),X_85)))]]) ).
cnf(refute_0_688,plain,
join(X_83,join(complement(X_83),X_85)) = join(join(X_83,complement(X_83)),X_85),
inference(subst,[],[refute_0_41:[bind(X0,$fot(X_83)),bind(X1,$fot(complement(X_83))),bind(X2,$fot(X_85))]]) ).
cnf(refute_0_689,plain,
top = join(X_83,complement(X_83)),
inference(subst,[],[refute_0_33:[bind(X0,$fot(X_83))]]) ).
cnf(refute_0_690,plain,
( top != join(X_83,complement(X_83))
| join(X_83,complement(X_83)) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(X_83,complement(X_83))))]]) ).
cnf(refute_0_691,plain,
join(X_83,complement(X_83)) = top,
inference(resolve,[$cnf( $equal(top,join(X_83,complement(X_83))) )],[refute_0_689,refute_0_690]) ).
cnf(refute_0_692,plain,
( join(X_83,complement(X_83)) != top
| join(X_83,join(complement(X_83),X_85)) != join(join(X_83,complement(X_83)),X_85)
| join(X_83,join(complement(X_83),X_85)) = join(top,X_85) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_83,join(complement(X_83),X_85)),join(join(X_83,complement(X_83)),X_85)) ),[1,0],$fot(top)]]) ).
cnf(refute_0_693,plain,
( join(X_83,join(complement(X_83),X_85)) != join(join(X_83,complement(X_83)),X_85)
| join(X_83,join(complement(X_83),X_85)) = join(top,X_85) ),
inference(resolve,[$cnf( $equal(join(X_83,complement(X_83)),top) )],[refute_0_691,refute_0_692]) ).
cnf(refute_0_694,plain,
join(X_83,join(complement(X_83),X_85)) = join(top,X_85),
inference(resolve,[$cnf( $equal(join(X_83,join(complement(X_83),X_85)),join(join(X_83,complement(X_83)),X_85)) )],[refute_0_688,refute_0_693]) ).
cnf(refute_0_695,plain,
X_42 = join(meet(X_42,X_43),complement(join(complement(X_42),X_43))),
inference(subst,[],[refute_0_31:[bind(X0,$fot(X_42)),bind(X1,$fot(X_43))]]) ).
cnf(refute_0_696,plain,
meet(X_43,X_42) = meet(X_42,X_43),
inference(subst,[],[refute_0_107:[bind(X_14,$fot(X_43)),bind(X_15,$fot(X_42))]]) ).
cnf(refute_0_697,plain,
( meet(X_43,X_42) != meet(X_42,X_43)
| meet(X_42,X_43) = meet(X_43,X_42) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(meet(X_43,X_42))),bind(Y,$fot(meet(X_42,X_43)))]]) ).
cnf(refute_0_698,plain,
meet(X_42,X_43) = meet(X_43,X_42),
inference(resolve,[$cnf( $equal(meet(X_43,X_42),meet(X_42,X_43)) )],[refute_0_696,refute_0_697]) ).
cnf(refute_0_699,plain,
( X_42 != join(meet(X_42,X_43),complement(join(complement(X_42),X_43)))
| meet(X_42,X_43) != meet(X_43,X_42)
| X_42 = join(meet(X_43,X_42),complement(join(complement(X_42),X_43))) ),
introduced(tautology,[equality,[$cnf( $equal(X_42,join(meet(X_42,X_43),complement(join(complement(X_42),X_43)))) ),[1,0],$fot(meet(X_43,X_42))]]) ).
cnf(refute_0_700,plain,
( X_42 != join(meet(X_42,X_43),complement(join(complement(X_42),X_43)))
| X_42 = join(meet(X_43,X_42),complement(join(complement(X_42),X_43))) ),
inference(resolve,[$cnf( $equal(meet(X_42,X_43),meet(X_43,X_42)) )],[refute_0_698,refute_0_699]) ).
cnf(refute_0_701,plain,
X_42 = join(meet(X_43,X_42),complement(join(complement(X_42),X_43))),
inference(resolve,[$cnf( $equal(X_42,join(meet(X_42,X_43),complement(join(complement(X_42),X_43)))) )],[refute_0_695,refute_0_700]) ).
cnf(refute_0_702,plain,
complement(join(complement(X_42),X_43)) = meet(X_42,complement(X_43)),
inference(subst,[],[refute_0_523:[bind(X0,$fot(X_42)),bind(X_18,$fot(X_43))]]) ).
cnf(refute_0_703,plain,
join(meet(X_43,X_42),complement(join(complement(X_42),X_43))) = join(meet(X_43,X_42),complement(join(complement(X_42),X_43))),
introduced(tautology,[refl,[$fot(join(meet(X_43,X_42),complement(join(complement(X_42),X_43))))]]) ).
cnf(refute_0_704,plain,
( complement(join(complement(X_42),X_43)) != meet(X_42,complement(X_43))
| join(meet(X_43,X_42),complement(join(complement(X_42),X_43))) != join(meet(X_43,X_42),complement(join(complement(X_42),X_43)))
| join(meet(X_43,X_42),complement(join(complement(X_42),X_43))) = join(meet(X_43,X_42),meet(X_42,complement(X_43))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_43,X_42),complement(join(complement(X_42),X_43))),join(meet(X_43,X_42),complement(join(complement(X_42),X_43)))) ),[1,1],$fot(meet(X_42,complement(X_43)))]]) ).
cnf(refute_0_705,plain,
( complement(join(complement(X_42),X_43)) != meet(X_42,complement(X_43))
| join(meet(X_43,X_42),complement(join(complement(X_42),X_43))) = join(meet(X_43,X_42),meet(X_42,complement(X_43))) ),
inference(resolve,[$cnf( $equal(join(meet(X_43,X_42),complement(join(complement(X_42),X_43))),join(meet(X_43,X_42),complement(join(complement(X_42),X_43)))) )],[refute_0_703,refute_0_704]) ).
cnf(refute_0_706,plain,
join(meet(X_43,X_42),complement(join(complement(X_42),X_43))) = join(meet(X_43,X_42),meet(X_42,complement(X_43))),
inference(resolve,[$cnf( $equal(complement(join(complement(X_42),X_43)),meet(X_42,complement(X_43))) )],[refute_0_702,refute_0_705]) ).
cnf(refute_0_707,plain,
( X_42 != join(meet(X_43,X_42),complement(join(complement(X_42),X_43)))
| join(meet(X_43,X_42),complement(join(complement(X_42),X_43))) != join(meet(X_43,X_42),meet(X_42,complement(X_43)))
| X_42 = join(meet(X_43,X_42),meet(X_42,complement(X_43))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_42,join(meet(X_43,X_42),meet(X_42,complement(X_43)))) ),[0],$fot(join(meet(X_43,X_42),complement(join(complement(X_42),X_43))))]]) ).
cnf(refute_0_708,plain,
( X_42 != join(meet(X_43,X_42),complement(join(complement(X_42),X_43)))
| X_42 = join(meet(X_43,X_42),meet(X_42,complement(X_43))) ),
inference(resolve,[$cnf( $equal(join(meet(X_43,X_42),complement(join(complement(X_42),X_43))),join(meet(X_43,X_42),meet(X_42,complement(X_43)))) )],[refute_0_706,refute_0_707]) ).
cnf(refute_0_709,plain,
X_42 = join(meet(X_43,X_42),meet(X_42,complement(X_43))),
inference(resolve,[$cnf( $equal(X_42,join(meet(X_43,X_42),complement(join(complement(X_42),X_43)))) )],[refute_0_701,refute_0_708]) ).
cnf(refute_0_710,plain,
converse(complement(converse(complement(X_73)))) = join(meet(X_73,converse(complement(converse(complement(X_73))))),meet(converse(complement(converse(complement(X_73)))),complement(X_73))),
inference(subst,[],[refute_0_709:[bind(X_42,$fot(converse(complement(converse(complement(X_73)))))),bind(X_43,$fot(X_73))]]) ).
cnf(refute_0_711,plain,
X_42 = join(meet(X_42,converse(complement(converse(complement(X_42))))),complement(join(complement(X_42),converse(complement(converse(complement(X_42))))))),
inference(subst,[],[refute_0_31:[bind(X0,$fot(X_42)),bind(X1,$fot(converse(complement(converse(complement(X_42))))))]]) ).
cnf(refute_0_712,plain,
converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(canonicalize,[],[normalize_0_23]) ).
cnf(refute_0_713,plain,
converse(join(converse(X0),X_20)) = join(converse(converse(X0)),converse(X_20)),
inference(subst,[],[refute_0_712:[bind(X0,$fot(converse(X0))),bind(X1,$fot(X_20))]]) ).
cnf(refute_0_714,plain,
( converse(converse(X0)) != X0
| converse(join(converse(X0),X_20)) != join(converse(converse(X0)),converse(X_20))
| converse(join(converse(X0),X_20)) = join(X0,converse(X_20)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X0),X_20)),join(converse(converse(X0)),converse(X_20))) ),[1,0],$fot(X0)]]) ).
cnf(refute_0_715,plain,
( converse(join(converse(X0),X_20)) != join(converse(converse(X0)),converse(X_20))
| converse(join(converse(X0),X_20)) = join(X0,converse(X_20)) ),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_0_177,refute_0_714]) ).
cnf(refute_0_716,plain,
converse(join(converse(X0),X_20)) = join(X0,converse(X_20)),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),X_20)),join(converse(converse(X0)),converse(X_20))) )],[refute_0_713,refute_0_715]) ).
cnf(refute_0_717,plain,
converse(join(converse(X_28),complement(converse(X_28)))) = join(X_28,converse(complement(converse(X_28)))),
inference(subst,[],[refute_0_716:[bind(X0,$fot(X_28)),bind(X_20,$fot(complement(converse(X_28))))]]) ).
cnf(refute_0_718,plain,
top = join(converse(X_28),complement(converse(X_28))),
inference(subst,[],[refute_0_33:[bind(X0,$fot(converse(X_28)))]]) ).
cnf(refute_0_719,plain,
( top != join(converse(X_28),complement(converse(X_28)))
| join(converse(X_28),complement(converse(X_28))) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(converse(X_28),complement(converse(X_28)))))]]) ).
cnf(refute_0_720,plain,
join(converse(X_28),complement(converse(X_28))) = top,
inference(resolve,[$cnf( $equal(top,join(converse(X_28),complement(converse(X_28)))) )],[refute_0_718,refute_0_719]) ).
cnf(refute_0_721,plain,
( converse(join(converse(X_28),complement(converse(X_28)))) != join(X_28,converse(complement(converse(X_28))))
| join(converse(X_28),complement(converse(X_28))) != top
| converse(top) = join(X_28,converse(complement(converse(X_28)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X_28),complement(converse(X_28)))),join(X_28,converse(complement(converse(X_28))))) ),[0,0],$fot(top)]]) ).
cnf(refute_0_722,plain,
( converse(join(converse(X_28),complement(converse(X_28)))) != join(X_28,converse(complement(converse(X_28))))
| converse(top) = join(X_28,converse(complement(converse(X_28)))) ),
inference(resolve,[$cnf( $equal(join(converse(X_28),complement(converse(X_28))),top) )],[refute_0_720,refute_0_721]) ).
cnf(refute_0_723,plain,
converse(top) = join(X_28,converse(complement(converse(X_28)))),
inference(resolve,[$cnf( $equal(converse(join(converse(X_28),complement(converse(X_28)))),join(X_28,converse(complement(converse(X_28))))) )],[refute_0_717,refute_0_722]) ).
cnf(refute_0_724,plain,
converse(top) = join(complement(X_42),converse(complement(converse(complement(X_42))))),
inference(subst,[],[refute_0_723:[bind(X_28,$fot(complement(X_42)))]]) ).
cnf(refute_0_725,plain,
( converse(top) != join(complement(X_42),converse(complement(converse(complement(X_42)))))
| join(complement(X_42),converse(complement(converse(complement(X_42))))) = converse(top) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(converse(top))),bind(Y,$fot(join(complement(X_42),converse(complement(converse(complement(X_42)))))))]]) ).
cnf(refute_0_726,plain,
join(complement(X_42),converse(complement(converse(complement(X_42))))) = converse(top),
inference(resolve,[$cnf( $equal(converse(top),join(complement(X_42),converse(complement(converse(complement(X_42)))))) )],[refute_0_724,refute_0_725]) ).
cnf(refute_0_727,plain,
( X_42 != join(meet(X_42,converse(complement(converse(complement(X_42))))),complement(join(complement(X_42),converse(complement(converse(complement(X_42)))))))
| join(complement(X_42),converse(complement(converse(complement(X_42))))) != converse(top)
| X_42 = join(meet(X_42,converse(complement(converse(complement(X_42))))),complement(converse(top))) ),
introduced(tautology,[equality,[$cnf( $equal(X_42,join(meet(X_42,converse(complement(converse(complement(X_42))))),complement(join(complement(X_42),converse(complement(converse(complement(X_42)))))))) ),[1,1,0],$fot(converse(top))]]) ).
cnf(refute_0_728,plain,
( X_42 != join(meet(X_42,converse(complement(converse(complement(X_42))))),complement(join(complement(X_42),converse(complement(converse(complement(X_42)))))))
| X_42 = join(meet(X_42,converse(complement(converse(complement(X_42))))),complement(converse(top))) ),
inference(resolve,[$cnf( $equal(join(complement(X_42),converse(complement(converse(complement(X_42))))),converse(top)) )],[refute_0_726,refute_0_727]) ).
cnf(refute_0_729,plain,
X_42 = join(meet(X_42,converse(complement(converse(complement(X_42))))),complement(converse(top))),
inference(resolve,[$cnf( $equal(X_42,join(meet(X_42,converse(complement(converse(complement(X_42))))),complement(join(complement(X_42),converse(complement(converse(complement(X_42)))))))) )],[refute_0_711,refute_0_728]) ).
cnf(refute_0_730,plain,
join(meet(X_42,converse(complement(converse(complement(X_42))))),complement(converse(top))) = join(complement(converse(top)),meet(X_42,converse(complement(converse(complement(X_42)))))),
inference(subst,[],[refute_0_6:[bind(X0,$fot(complement(converse(top)))),bind(X1,$fot(meet(X_42,converse(complement(converse(complement(X_42)))))))]]) ).
cnf(refute_0_731,plain,
( X_42 != join(meet(X_42,converse(complement(converse(complement(X_42))))),complement(converse(top)))
| join(meet(X_42,converse(complement(converse(complement(X_42))))),complement(converse(top))) != join(complement(converse(top)),meet(X_42,converse(complement(converse(complement(X_42))))))
| X_42 = join(complement(converse(top)),meet(X_42,converse(complement(converse(complement(X_42)))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_42,join(complement(converse(top)),meet(X_42,converse(complement(converse(complement(X_42))))))) ),[0],$fot(join(meet(X_42,converse(complement(converse(complement(X_42))))),complement(converse(top))))]]) ).
cnf(refute_0_732,plain,
( X_42 != join(meet(X_42,converse(complement(converse(complement(X_42))))),complement(converse(top)))
| X_42 = join(complement(converse(top)),meet(X_42,converse(complement(converse(complement(X_42)))))) ),
inference(resolve,[$cnf( $equal(join(meet(X_42,converse(complement(converse(complement(X_42))))),complement(converse(top))),join(complement(converse(top)),meet(X_42,converse(complement(converse(complement(X_42))))))) )],[refute_0_730,refute_0_731]) ).
cnf(refute_0_733,plain,
X_42 = join(complement(converse(top)),meet(X_42,converse(complement(converse(complement(X_42)))))),
inference(resolve,[$cnf( $equal(X_42,join(meet(X_42,converse(complement(converse(complement(X_42))))),complement(converse(top)))) )],[refute_0_729,refute_0_732]) ).
cnf(refute_0_734,plain,
join(zero,meet(X_42,converse(complement(converse(complement(X_42)))))) = meet(X_42,converse(complement(converse(complement(X_42))))),
inference(subst,[],[refute_0_468:[bind(X_42,$fot(meet(X_42,converse(complement(converse(complement(X_42)))))))]]) ).
cnf(refute_0_735,plain,
zero = join(complement(converse(top)),meet(zero,converse(complement(converse(complement(zero)))))),
inference(subst,[],[refute_0_733:[bind(X_42,$fot(zero))]]) ).
cnf(refute_0_736,plain,
( complement(zero) != top
| zero != join(complement(converse(top)),meet(zero,converse(complement(converse(complement(zero))))))
| zero = join(complement(converse(top)),meet(zero,converse(complement(converse(top))))) ),
introduced(tautology,[equality,[$cnf( $equal(zero,join(complement(converse(top)),meet(zero,converse(complement(converse(complement(zero))))))) ),[1,1,1,0,0,0],$fot(top)]]) ).
cnf(refute_0_737,plain,
( zero != join(complement(converse(top)),meet(zero,converse(complement(converse(complement(zero))))))
| zero = join(complement(converse(top)),meet(zero,converse(complement(converse(top))))) ),
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_294,refute_0_736]) ).
cnf(refute_0_738,plain,
zero = join(complement(converse(top)),meet(zero,converse(complement(converse(top))))),
inference(resolve,[$cnf( $equal(zero,join(complement(converse(top)),meet(zero,converse(complement(converse(complement(zero))))))) )],[refute_0_735,refute_0_737]) ).
cnf(refute_0_739,plain,
join(X0,zero) = join(zero,X0),
inference(subst,[],[refute_0_1:[bind(X1,$fot(zero))]]) ).
cnf(refute_0_740,plain,
X0 = join(zero,X0),
inference(subst,[],[refute_0_466:[bind(X_42,$fot(X0))]]) ).
cnf(refute_0_741,plain,
( X0 != join(zero,X0)
| join(zero,X0) = X0 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(X0)),bind(Y,$fot(join(zero,X0)))]]) ).
cnf(refute_0_742,plain,
join(zero,X0) = X0,
inference(resolve,[$cnf( $equal(X0,join(zero,X0)) )],[refute_0_740,refute_0_741]) ).
cnf(refute_0_743,plain,
( join(X0,zero) != join(zero,X0)
| join(zero,X0) != X0
| join(X0,zero) = X0 ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X0,zero),X0) ),[0],$fot(join(zero,X0))]]) ).
cnf(refute_0_744,plain,
( join(X0,zero) != join(zero,X0)
| join(X0,zero) = X0 ),
inference(resolve,[$cnf( $equal(join(zero,X0),X0) )],[refute_0_742,refute_0_743]) ).
cnf(refute_0_745,plain,
join(X0,zero) = X0,
inference(resolve,[$cnf( $equal(join(X0,zero),join(zero,X0)) )],[refute_0_739,refute_0_744]) ).
cnf(refute_0_746,plain,
join(complement(converse(top)),zero) = complement(converse(top)),
inference(subst,[],[refute_0_745:[bind(X0,$fot(complement(converse(top))))]]) ).
cnf(refute_0_747,plain,
meet(zero,X1) = complement(join(complement(zero),complement(X1))),
inference(subst,[],[refute_0_17:[bind(X0,$fot(zero))]]) ).
cnf(refute_0_748,plain,
( complement(zero) != top
| meet(zero,X1) != complement(join(complement(zero),complement(X1)))
| meet(zero,X1) = complement(join(top,complement(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(zero,X1),complement(join(complement(zero),complement(X1)))) ),[1,0,0],$fot(top)]]) ).
cnf(refute_0_749,plain,
( meet(zero,X1) != complement(join(complement(zero),complement(X1)))
| meet(zero,X1) = complement(join(top,complement(X1))) ),
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_294,refute_0_748]) ).
cnf(refute_0_750,plain,
meet(zero,X1) = complement(join(top,complement(X1))),
inference(resolve,[$cnf( $equal(meet(zero,X1),complement(join(complement(zero),complement(X1)))) )],[refute_0_747,refute_0_749]) ).
cnf(refute_0_751,plain,
join(top,complement(X1)) = top,
inference(subst,[],[refute_0_321:[bind(X_15,$fot(X1))]]) ).
cnf(refute_0_752,plain,
complement(join(top,complement(X1))) = complement(join(top,complement(X1))),
introduced(tautology,[refl,[$fot(complement(join(top,complement(X1))))]]) ).
cnf(refute_0_753,plain,
( complement(join(top,complement(X1))) != complement(join(top,complement(X1)))
| join(top,complement(X1)) != top
| complement(join(top,complement(X1))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(top,complement(X1))),complement(join(top,complement(X1)))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_754,plain,
( join(top,complement(X1)) != top
| complement(join(top,complement(X1))) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(join(top,complement(X1))),complement(join(top,complement(X1)))) )],[refute_0_752,refute_0_753]) ).
cnf(refute_0_755,plain,
complement(join(top,complement(X1))) = complement(top),
inference(resolve,[$cnf( $equal(join(top,complement(X1)),top) )],[refute_0_751,refute_0_754]) ).
cnf(refute_0_756,plain,
( complement(join(top,complement(X1))) != complement(top)
| complement(top) != zero
| complement(join(top,complement(X1))) = zero ),
inference(subst,[],[refute_0_25:[bind(X,$fot(complement(join(top,complement(X1))))),bind(Y,$fot(complement(top))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_757,plain,
( complement(top) != zero
| complement(join(top,complement(X1))) = zero ),
inference(resolve,[$cnf( $equal(complement(join(top,complement(X1))),complement(top)) )],[refute_0_755,refute_0_756]) ).
cnf(refute_0_758,plain,
complement(join(top,complement(X1))) = zero,
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_73,refute_0_757]) ).
cnf(refute_0_759,plain,
( complement(join(top,complement(X1))) != zero
| meet(zero,X1) != complement(join(top,complement(X1)))
| meet(zero,X1) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(zero,X1),complement(join(top,complement(X1)))) ),[1],$fot(zero)]]) ).
cnf(refute_0_760,plain,
( meet(zero,X1) != complement(join(top,complement(X1)))
| meet(zero,X1) = zero ),
inference(resolve,[$cnf( $equal(complement(join(top,complement(X1))),zero) )],[refute_0_758,refute_0_759]) ).
cnf(refute_0_761,plain,
meet(zero,X1) = zero,
inference(resolve,[$cnf( $equal(meet(zero,X1),complement(join(top,complement(X1)))) )],[refute_0_750,refute_0_760]) ).
cnf(refute_0_762,plain,
meet(zero,converse(complement(converse(top)))) = zero,
inference(subst,[],[refute_0_761:[bind(X1,$fot(converse(complement(converse(top)))))]]) ).
cnf(refute_0_763,plain,
join(complement(converse(top)),meet(zero,converse(complement(converse(top))))) = join(complement(converse(top)),meet(zero,converse(complement(converse(top))))),
introduced(tautology,[refl,[$fot(join(complement(converse(top)),meet(zero,converse(complement(converse(top))))))]]) ).
cnf(refute_0_764,plain,
( join(complement(converse(top)),meet(zero,converse(complement(converse(top))))) != join(complement(converse(top)),meet(zero,converse(complement(converse(top)))))
| meet(zero,converse(complement(converse(top)))) != zero
| join(complement(converse(top)),meet(zero,converse(complement(converse(top))))) = join(complement(converse(top)),zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(top)),meet(zero,converse(complement(converse(top))))),join(complement(converse(top)),meet(zero,converse(complement(converse(top)))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_765,plain,
( meet(zero,converse(complement(converse(top)))) != zero
| join(complement(converse(top)),meet(zero,converse(complement(converse(top))))) = join(complement(converse(top)),zero) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),meet(zero,converse(complement(converse(top))))),join(complement(converse(top)),meet(zero,converse(complement(converse(top)))))) )],[refute_0_763,refute_0_764]) ).
cnf(refute_0_766,plain,
join(complement(converse(top)),meet(zero,converse(complement(converse(top))))) = join(complement(converse(top)),zero),
inference(resolve,[$cnf( $equal(meet(zero,converse(complement(converse(top)))),zero) )],[refute_0_762,refute_0_765]) ).
cnf(refute_0_767,plain,
( join(complement(converse(top)),meet(zero,converse(complement(converse(top))))) != join(complement(converse(top)),zero)
| join(complement(converse(top)),zero) != complement(converse(top))
| join(complement(converse(top)),meet(zero,converse(complement(converse(top))))) = complement(converse(top)) ),
inference(subst,[],[refute_0_25:[bind(X,$fot(join(complement(converse(top)),meet(zero,converse(complement(converse(top))))))),bind(Y,$fot(join(complement(converse(top)),zero))),bind(Z,$fot(complement(converse(top))))]]) ).
cnf(refute_0_768,plain,
( join(complement(converse(top)),zero) != complement(converse(top))
| join(complement(converse(top)),meet(zero,converse(complement(converse(top))))) = complement(converse(top)) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),meet(zero,converse(complement(converse(top))))),join(complement(converse(top)),zero)) )],[refute_0_766,refute_0_767]) ).
cnf(refute_0_769,plain,
join(complement(converse(top)),meet(zero,converse(complement(converse(top))))) = complement(converse(top)),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),zero),complement(converse(top))) )],[refute_0_746,refute_0_768]) ).
cnf(refute_0_770,plain,
( join(complement(converse(top)),meet(zero,converse(complement(converse(top))))) != complement(converse(top))
| zero != join(complement(converse(top)),meet(zero,converse(complement(converse(top)))))
| zero = complement(converse(top)) ),
introduced(tautology,[equality,[$cnf( $equal(zero,join(complement(converse(top)),meet(zero,converse(complement(converse(top)))))) ),[1],$fot(complement(converse(top)))]]) ).
cnf(refute_0_771,plain,
( zero != join(complement(converse(top)),meet(zero,converse(complement(converse(top)))))
| zero = complement(converse(top)) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),meet(zero,converse(complement(converse(top))))),complement(converse(top))) )],[refute_0_769,refute_0_770]) ).
cnf(refute_0_772,plain,
zero = complement(converse(top)),
inference(resolve,[$cnf( $equal(zero,join(complement(converse(top)),meet(zero,converse(complement(converse(top)))))) )],[refute_0_738,refute_0_771]) ).
cnf(refute_0_773,plain,
( zero != complement(converse(top))
| complement(converse(top)) = zero ),
inference(subst,[],[refute_0_4:[bind(X,$fot(zero)),bind(Y,$fot(complement(converse(top))))]]) ).
cnf(refute_0_774,plain,
complement(converse(top)) = zero,
inference(resolve,[$cnf( $equal(zero,complement(converse(top))) )],[refute_0_772,refute_0_773]) ).
cnf(refute_0_775,plain,
join(complement(converse(top)),meet(X_42,converse(complement(converse(complement(X_42)))))) = join(complement(converse(top)),meet(X_42,converse(complement(converse(complement(X_42)))))),
introduced(tautology,[refl,[$fot(join(complement(converse(top)),meet(X_42,converse(complement(converse(complement(X_42)))))))]]) ).
cnf(refute_0_776,plain,
( complement(converse(top)) != zero
| join(complement(converse(top)),meet(X_42,converse(complement(converse(complement(X_42)))))) != join(complement(converse(top)),meet(X_42,converse(complement(converse(complement(X_42))))))
| join(complement(converse(top)),meet(X_42,converse(complement(converse(complement(X_42)))))) = join(zero,meet(X_42,converse(complement(converse(complement(X_42)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(top)),meet(X_42,converse(complement(converse(complement(X_42)))))),join(complement(converse(top)),meet(X_42,converse(complement(converse(complement(X_42))))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_777,plain,
( complement(converse(top)) != zero
| join(complement(converse(top)),meet(X_42,converse(complement(converse(complement(X_42)))))) = join(zero,meet(X_42,converse(complement(converse(complement(X_42)))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),meet(X_42,converse(complement(converse(complement(X_42)))))),join(complement(converse(top)),meet(X_42,converse(complement(converse(complement(X_42))))))) )],[refute_0_775,refute_0_776]) ).
cnf(refute_0_778,plain,
join(complement(converse(top)),meet(X_42,converse(complement(converse(complement(X_42)))))) = join(zero,meet(X_42,converse(complement(converse(complement(X_42)))))),
inference(resolve,[$cnf( $equal(complement(converse(top)),zero) )],[refute_0_774,refute_0_777]) ).
cnf(refute_0_779,plain,
( join(complement(converse(top)),meet(X_42,converse(complement(converse(complement(X_42)))))) != join(zero,meet(X_42,converse(complement(converse(complement(X_42))))))
| join(zero,meet(X_42,converse(complement(converse(complement(X_42)))))) != meet(X_42,converse(complement(converse(complement(X_42)))))
| join(complement(converse(top)),meet(X_42,converse(complement(converse(complement(X_42)))))) = meet(X_42,converse(complement(converse(complement(X_42))))) ),
inference(subst,[],[refute_0_25:[bind(X,$fot(join(complement(converse(top)),meet(X_42,converse(complement(converse(complement(X_42)))))))),bind(Y,$fot(join(zero,meet(X_42,converse(complement(converse(complement(X_42)))))))),bind(Z,$fot(meet(X_42,converse(complement(converse(complement(X_42)))))))]]) ).
cnf(refute_0_780,plain,
( join(zero,meet(X_42,converse(complement(converse(complement(X_42)))))) != meet(X_42,converse(complement(converse(complement(X_42)))))
| join(complement(converse(top)),meet(X_42,converse(complement(converse(complement(X_42)))))) = meet(X_42,converse(complement(converse(complement(X_42))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),meet(X_42,converse(complement(converse(complement(X_42)))))),join(zero,meet(X_42,converse(complement(converse(complement(X_42))))))) )],[refute_0_778,refute_0_779]) ).
cnf(refute_0_781,plain,
join(complement(converse(top)),meet(X_42,converse(complement(converse(complement(X_42)))))) = meet(X_42,converse(complement(converse(complement(X_42))))),
inference(resolve,[$cnf( $equal(join(zero,meet(X_42,converse(complement(converse(complement(X_42)))))),meet(X_42,converse(complement(converse(complement(X_42)))))) )],[refute_0_734,refute_0_780]) ).
cnf(refute_0_782,plain,
( X_42 != join(complement(converse(top)),meet(X_42,converse(complement(converse(complement(X_42))))))
| join(complement(converse(top)),meet(X_42,converse(complement(converse(complement(X_42)))))) != meet(X_42,converse(complement(converse(complement(X_42)))))
| X_42 = meet(X_42,converse(complement(converse(complement(X_42))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_42,meet(X_42,converse(complement(converse(complement(X_42)))))) ),[0],$fot(join(complement(converse(top)),meet(X_42,converse(complement(converse(complement(X_42)))))))]]) ).
cnf(refute_0_783,plain,
( X_42 != join(complement(converse(top)),meet(X_42,converse(complement(converse(complement(X_42))))))
| X_42 = meet(X_42,converse(complement(converse(complement(X_42))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),meet(X_42,converse(complement(converse(complement(X_42)))))),meet(X_42,converse(complement(converse(complement(X_42)))))) )],[refute_0_781,refute_0_782]) ).
cnf(refute_0_784,plain,
X_42 = meet(X_42,converse(complement(converse(complement(X_42))))),
inference(resolve,[$cnf( $equal(X_42,join(complement(converse(top)),meet(X_42,converse(complement(converse(complement(X_42))))))) )],[refute_0_733,refute_0_783]) ).
cnf(refute_0_785,plain,
X_73 = meet(X_73,converse(complement(converse(complement(X_73))))),
inference(subst,[],[refute_0_784:[bind(X_42,$fot(X_73))]]) ).
cnf(refute_0_786,plain,
( X_73 != meet(X_73,converse(complement(converse(complement(X_73)))))
| meet(X_73,converse(complement(converse(complement(X_73))))) = X_73 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(X_73)),bind(Y,$fot(meet(X_73,converse(complement(converse(complement(X_73)))))))]]) ).
cnf(refute_0_787,plain,
meet(X_73,converse(complement(converse(complement(X_73))))) = X_73,
inference(resolve,[$cnf( $equal(X_73,meet(X_73,converse(complement(converse(complement(X_73)))))) )],[refute_0_785,refute_0_786]) ).
cnf(refute_0_788,plain,
( converse(complement(converse(complement(X_73)))) != join(meet(X_73,converse(complement(converse(complement(X_73))))),meet(converse(complement(converse(complement(X_73)))),complement(X_73)))
| meet(X_73,converse(complement(converse(complement(X_73))))) != X_73
| converse(complement(converse(complement(X_73)))) = join(X_73,meet(converse(complement(converse(complement(X_73)))),complement(X_73))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(complement(X_73)))),join(meet(X_73,converse(complement(converse(complement(X_73))))),meet(converse(complement(converse(complement(X_73)))),complement(X_73)))) ),[1,0],$fot(X_73)]]) ).
cnf(refute_0_789,plain,
( converse(complement(converse(complement(X_73)))) != join(meet(X_73,converse(complement(converse(complement(X_73))))),meet(converse(complement(converse(complement(X_73)))),complement(X_73)))
| converse(complement(converse(complement(X_73)))) = join(X_73,meet(converse(complement(converse(complement(X_73)))),complement(X_73))) ),
inference(resolve,[$cnf( $equal(meet(X_73,converse(complement(converse(complement(X_73))))),X_73) )],[refute_0_787,refute_0_788]) ).
cnf(refute_0_790,plain,
converse(complement(converse(complement(X_73)))) = join(X_73,meet(converse(complement(converse(complement(X_73)))),complement(X_73))),
inference(resolve,[$cnf( $equal(converse(complement(converse(complement(X_73)))),join(meet(X_73,converse(complement(converse(complement(X_73))))),meet(converse(complement(converse(complement(X_73)))),complement(X_73)))) )],[refute_0_710,refute_0_789]) ).
cnf(refute_0_791,plain,
( meet(X_14,X_15) != meet(X_15,X_14)
| meet(X_15,X_14) = meet(X_14,X_15) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(meet(X_14,X_15))),bind(Y,$fot(meet(X_15,X_14)))]]) ).
cnf(refute_0_792,plain,
meet(X_15,X_14) = meet(X_14,X_15),
inference(resolve,[$cnf( $equal(meet(X_14,X_15),meet(X_15,X_14)) )],[refute_0_107,refute_0_791]) ).
cnf(refute_0_793,plain,
meet(converse(complement(converse(complement(X_73)))),complement(X_73)) = meet(complement(X_73),converse(complement(converse(complement(X_73))))),
inference(subst,[],[refute_0_792:[bind(X_14,$fot(complement(X_73))),bind(X_15,$fot(converse(complement(converse(complement(X_73))))))]]) ).
cnf(refute_0_794,plain,
join(X_73,meet(converse(complement(converse(complement(X_73)))),complement(X_73))) = join(X_73,meet(converse(complement(converse(complement(X_73)))),complement(X_73))),
introduced(tautology,[refl,[$fot(join(X_73,meet(converse(complement(converse(complement(X_73)))),complement(X_73))))]]) ).
cnf(refute_0_795,plain,
( join(X_73,meet(converse(complement(converse(complement(X_73)))),complement(X_73))) != join(X_73,meet(converse(complement(converse(complement(X_73)))),complement(X_73)))
| meet(converse(complement(converse(complement(X_73)))),complement(X_73)) != meet(complement(X_73),converse(complement(converse(complement(X_73)))))
| join(X_73,meet(converse(complement(converse(complement(X_73)))),complement(X_73))) = join(X_73,meet(complement(X_73),converse(complement(converse(complement(X_73)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_73,meet(converse(complement(converse(complement(X_73)))),complement(X_73))),join(X_73,meet(converse(complement(converse(complement(X_73)))),complement(X_73)))) ),[1,1],$fot(meet(complement(X_73),converse(complement(converse(complement(X_73))))))]]) ).
cnf(refute_0_796,plain,
( meet(converse(complement(converse(complement(X_73)))),complement(X_73)) != meet(complement(X_73),converse(complement(converse(complement(X_73)))))
| join(X_73,meet(converse(complement(converse(complement(X_73)))),complement(X_73))) = join(X_73,meet(complement(X_73),converse(complement(converse(complement(X_73)))))) ),
inference(resolve,[$cnf( $equal(join(X_73,meet(converse(complement(converse(complement(X_73)))),complement(X_73))),join(X_73,meet(converse(complement(converse(complement(X_73)))),complement(X_73)))) )],[refute_0_794,refute_0_795]) ).
cnf(refute_0_797,plain,
join(X_73,meet(converse(complement(converse(complement(X_73)))),complement(X_73))) = join(X_73,meet(complement(X_73),converse(complement(converse(complement(X_73)))))),
inference(resolve,[$cnf( $equal(meet(converse(complement(converse(complement(X_73)))),complement(X_73)),meet(complement(X_73),converse(complement(converse(complement(X_73)))))) )],[refute_0_793,refute_0_796]) ).
cnf(refute_0_798,plain,
( converse(complement(converse(complement(X_73)))) != join(X_73,meet(converse(complement(converse(complement(X_73)))),complement(X_73)))
| join(X_73,meet(converse(complement(converse(complement(X_73)))),complement(X_73))) != join(X_73,meet(complement(X_73),converse(complement(converse(complement(X_73))))))
| converse(complement(converse(complement(X_73)))) = join(X_73,meet(complement(X_73),converse(complement(converse(complement(X_73)))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(complement(converse(complement(X_73)))),join(X_73,meet(complement(X_73),converse(complement(converse(complement(X_73))))))) ),[0],$fot(join(X_73,meet(converse(complement(converse(complement(X_73)))),complement(X_73))))]]) ).
cnf(refute_0_799,plain,
( converse(complement(converse(complement(X_73)))) != join(X_73,meet(converse(complement(converse(complement(X_73)))),complement(X_73)))
| converse(complement(converse(complement(X_73)))) = join(X_73,meet(complement(X_73),converse(complement(converse(complement(X_73)))))) ),
inference(resolve,[$cnf( $equal(join(X_73,meet(converse(complement(converse(complement(X_73)))),complement(X_73))),join(X_73,meet(complement(X_73),converse(complement(converse(complement(X_73))))))) )],[refute_0_797,refute_0_798]) ).
cnf(refute_0_800,plain,
converse(complement(converse(complement(X_73)))) = join(X_73,meet(complement(X_73),converse(complement(converse(complement(X_73)))))),
inference(resolve,[$cnf( $equal(converse(complement(converse(complement(X_73)))),join(X_73,meet(converse(complement(converse(complement(X_73)))),complement(X_73)))) )],[refute_0_790,refute_0_799]) ).
cnf(refute_0_801,plain,
converse(complement(converse(complement(join(top,X_91))))) = join(join(top,X_91),meet(complement(join(top,X_91)),converse(complement(converse(complement(join(top,X_91))))))),
inference(subst,[],[refute_0_800:[bind(X_73,$fot(join(top,X_91)))]]) ).
cnf(refute_0_802,plain,
zero = join(meet(zero,X1),complement(join(complement(zero),X1))),
inference(subst,[],[refute_0_31:[bind(X0,$fot(zero))]]) ).
cnf(refute_0_803,plain,
( complement(zero) != top
| zero != join(meet(zero,X1),complement(join(complement(zero),X1)))
| zero = join(meet(zero,X1),complement(join(top,X1))) ),
introduced(tautology,[equality,[$cnf( $equal(zero,join(meet(zero,X1),complement(join(complement(zero),X1)))) ),[1,1,0,0],$fot(top)]]) ).
cnf(refute_0_804,plain,
( zero != join(meet(zero,X1),complement(join(complement(zero),X1)))
| zero = join(meet(zero,X1),complement(join(top,X1))) ),
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_294,refute_0_803]) ).
cnf(refute_0_805,plain,
zero = join(meet(zero,X1),complement(join(top,X1))),
inference(resolve,[$cnf( $equal(zero,join(meet(zero,X1),complement(join(complement(zero),X1)))) )],[refute_0_802,refute_0_804]) ).
cnf(refute_0_806,plain,
join(meet(zero,X1),complement(join(top,X1))) = join(meet(zero,X1),complement(join(top,X1))),
introduced(tautology,[refl,[$fot(join(meet(zero,X1),complement(join(top,X1))))]]) ).
cnf(refute_0_807,plain,
( join(meet(zero,X1),complement(join(top,X1))) != join(meet(zero,X1),complement(join(top,X1)))
| meet(zero,X1) != zero
| join(meet(zero,X1),complement(join(top,X1))) = join(zero,complement(join(top,X1))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(zero,X1),complement(join(top,X1))),join(meet(zero,X1),complement(join(top,X1)))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_808,plain,
( meet(zero,X1) != zero
| join(meet(zero,X1),complement(join(top,X1))) = join(zero,complement(join(top,X1))) ),
inference(resolve,[$cnf( $equal(join(meet(zero,X1),complement(join(top,X1))),join(meet(zero,X1),complement(join(top,X1)))) )],[refute_0_806,refute_0_807]) ).
cnf(refute_0_809,plain,
join(meet(zero,X1),complement(join(top,X1))) = join(zero,complement(join(top,X1))),
inference(resolve,[$cnf( $equal(meet(zero,X1),zero) )],[refute_0_761,refute_0_808]) ).
cnf(refute_0_810,plain,
( join(meet(zero,X1),complement(join(top,X1))) != join(zero,complement(join(top,X1)))
| zero != join(meet(zero,X1),complement(join(top,X1)))
| zero = join(zero,complement(join(top,X1))) ),
introduced(tautology,[equality,[$cnf( $equal(zero,join(meet(zero,X1),complement(join(top,X1)))) ),[1],$fot(join(zero,complement(join(top,X1))))]]) ).
cnf(refute_0_811,plain,
( zero != join(meet(zero,X1),complement(join(top,X1)))
| zero = join(zero,complement(join(top,X1))) ),
inference(resolve,[$cnf( $equal(join(meet(zero,X1),complement(join(top,X1))),join(zero,complement(join(top,X1)))) )],[refute_0_809,refute_0_810]) ).
cnf(refute_0_812,plain,
zero = join(zero,complement(join(top,X1))),
inference(resolve,[$cnf( $equal(zero,join(meet(zero,X1),complement(join(top,X1)))) )],[refute_0_805,refute_0_811]) ).
cnf(refute_0_813,plain,
join(zero,complement(join(top,X1))) = complement(join(top,X1)),
inference(subst,[],[refute_0_352:[bind(X_44,$fot(join(top,X1)))]]) ).
cnf(refute_0_814,plain,
( join(zero,complement(join(top,X1))) != complement(join(top,X1))
| zero != join(zero,complement(join(top,X1)))
| zero = complement(join(top,X1)) ),
introduced(tautology,[equality,[$cnf( $equal(zero,join(zero,complement(join(top,X1)))) ),[1],$fot(complement(join(top,X1)))]]) ).
cnf(refute_0_815,plain,
( zero != join(zero,complement(join(top,X1)))
| zero = complement(join(top,X1)) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(top,X1))),complement(join(top,X1))) )],[refute_0_813,refute_0_814]) ).
cnf(refute_0_816,plain,
zero = complement(join(top,X1)),
inference(resolve,[$cnf( $equal(zero,join(zero,complement(join(top,X1)))) )],[refute_0_812,refute_0_815]) ).
cnf(refute_0_817,plain,
zero = complement(join(top,X_91)),
inference(subst,[],[refute_0_816:[bind(X1,$fot(X_91))]]) ).
cnf(refute_0_818,plain,
( zero != complement(join(top,X_91))
| complement(join(top,X_91)) = zero ),
inference(subst,[],[refute_0_4:[bind(X,$fot(zero)),bind(Y,$fot(complement(join(top,X_91))))]]) ).
cnf(refute_0_819,plain,
complement(join(top,X_91)) = zero,
inference(resolve,[$cnf( $equal(zero,complement(join(top,X_91))) )],[refute_0_817,refute_0_818]) ).
cnf(refute_0_820,plain,
( complement(join(top,X_91)) != zero
| converse(complement(converse(complement(join(top,X_91))))) != join(join(top,X_91),meet(complement(join(top,X_91)),converse(complement(converse(complement(join(top,X_91)))))))
| converse(complement(converse(complement(join(top,X_91))))) = join(join(top,X_91),meet(zero,converse(complement(converse(complement(join(top,X_91))))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(complement(join(top,X_91))))),join(join(top,X_91),meet(complement(join(top,X_91)),converse(complement(converse(complement(join(top,X_91)))))))) ),[1,1,0],$fot(zero)]]) ).
cnf(refute_0_821,plain,
( converse(complement(converse(complement(join(top,X_91))))) != join(join(top,X_91),meet(complement(join(top,X_91)),converse(complement(converse(complement(join(top,X_91)))))))
| converse(complement(converse(complement(join(top,X_91))))) = join(join(top,X_91),meet(zero,converse(complement(converse(complement(join(top,X_91))))))) ),
inference(resolve,[$cnf( $equal(complement(join(top,X_91)),zero) )],[refute_0_819,refute_0_820]) ).
cnf(refute_0_822,plain,
converse(complement(converse(complement(join(top,X_91))))) = join(join(top,X_91),meet(zero,converse(complement(converse(complement(join(top,X_91))))))),
inference(resolve,[$cnf( $equal(converse(complement(converse(complement(join(top,X_91))))),join(join(top,X_91),meet(complement(join(top,X_91)),converse(complement(converse(complement(join(top,X_91)))))))) )],[refute_0_801,refute_0_821]) ).
cnf(refute_0_823,plain,
top = join(complement(converse(top)),meet(top,converse(complement(converse(complement(top)))))),
inference(subst,[],[refute_0_733:[bind(X_42,$fot(top))]]) ).
cnf(refute_0_824,plain,
meet(top,converse(complement(converse(complement(top))))) = converse(complement(converse(complement(top)))),
inference(subst,[],[refute_0_410:[bind(X1,$fot(converse(complement(converse(complement(top))))))]]) ).
cnf(refute_0_825,plain,
( meet(top,converse(complement(converse(complement(top))))) != converse(complement(converse(complement(top))))
| top != join(complement(converse(top)),meet(top,converse(complement(converse(complement(top))))))
| top = join(complement(converse(top)),converse(complement(converse(complement(top))))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(converse(top)),meet(top,converse(complement(converse(complement(top))))))) ),[1,1],$fot(converse(complement(converse(complement(top)))))]]) ).
cnf(refute_0_826,plain,
( top != join(complement(converse(top)),meet(top,converse(complement(converse(complement(top))))))
| top = join(complement(converse(top)),converse(complement(converse(complement(top))))) ),
inference(resolve,[$cnf( $equal(meet(top,converse(complement(converse(complement(top))))),converse(complement(converse(complement(top))))) )],[refute_0_824,refute_0_825]) ).
cnf(refute_0_827,plain,
top = join(complement(converse(top)),converse(complement(converse(complement(top))))),
inference(resolve,[$cnf( $equal(top,join(complement(converse(top)),meet(top,converse(complement(converse(complement(top))))))) )],[refute_0_823,refute_0_826]) ).
cnf(refute_0_828,plain,
join(zero,converse(top)) = converse(top),
inference(subst,[],[refute_0_468:[bind(X_42,$fot(converse(top)))]]) ).
cnf(refute_0_829,plain,
zero = meet(converse(zero),complement(converse(zero))),
inference(subst,[],[refute_0_49:[bind(X0,$fot(converse(zero)))]]) ).
cnf(refute_0_830,plain,
converse(converse(complement(converse(zero)))) = complement(converse(zero)),
inference(subst,[],[refute_0_177:[bind(X0,$fot(complement(converse(zero))))]]) ).
cnf(refute_0_831,plain,
converse(top) = join(zero,converse(complement(converse(zero)))),
inference(subst,[],[refute_0_723:[bind(X_28,$fot(zero))]]) ).
cnf(refute_0_832,plain,
converse(complement(converse(zero))) = join(zero,converse(complement(converse(zero)))),
inference(subst,[],[refute_0_466:[bind(X_42,$fot(converse(complement(converse(zero)))))]]) ).
cnf(refute_0_833,plain,
( converse(complement(converse(zero))) != join(zero,converse(complement(converse(zero))))
| join(zero,converse(complement(converse(zero)))) = converse(complement(converse(zero))) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(converse(complement(converse(zero))))),bind(Y,$fot(join(zero,converse(complement(converse(zero))))))]]) ).
cnf(refute_0_834,plain,
join(zero,converse(complement(converse(zero)))) = converse(complement(converse(zero))),
inference(resolve,[$cnf( $equal(converse(complement(converse(zero))),join(zero,converse(complement(converse(zero))))) )],[refute_0_832,refute_0_833]) ).
cnf(refute_0_835,plain,
( converse(top) != join(zero,converse(complement(converse(zero))))
| join(zero,converse(complement(converse(zero)))) != converse(complement(converse(zero)))
| converse(top) = converse(complement(converse(zero))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(top),converse(complement(converse(zero)))) ),[0],$fot(join(zero,converse(complement(converse(zero)))))]]) ).
cnf(refute_0_836,plain,
( converse(top) != join(zero,converse(complement(converse(zero))))
| converse(top) = converse(complement(converse(zero))) ),
inference(resolve,[$cnf( $equal(join(zero,converse(complement(converse(zero)))),converse(complement(converse(zero)))) )],[refute_0_834,refute_0_835]) ).
cnf(refute_0_837,plain,
converse(top) = converse(complement(converse(zero))),
inference(resolve,[$cnf( $equal(converse(top),join(zero,converse(complement(converse(zero))))) )],[refute_0_831,refute_0_836]) ).
cnf(refute_0_838,plain,
( converse(top) != converse(complement(converse(zero)))
| converse(complement(converse(zero))) = converse(top) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(converse(top))),bind(Y,$fot(converse(complement(converse(zero)))))]]) ).
cnf(refute_0_839,plain,
converse(complement(converse(zero))) = converse(top),
inference(resolve,[$cnf( $equal(converse(top),converse(complement(converse(zero)))) )],[refute_0_837,refute_0_838]) ).
cnf(refute_0_840,plain,
( converse(complement(converse(zero))) != converse(top)
| converse(converse(complement(converse(zero)))) != complement(converse(zero))
| converse(converse(top)) = complement(converse(zero)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(complement(converse(zero)))),complement(converse(zero))) ),[0,0],$fot(converse(top))]]) ).
cnf(refute_0_841,plain,
( converse(converse(complement(converse(zero)))) != complement(converse(zero))
| converse(converse(top)) = complement(converse(zero)) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(zero))),converse(top)) )],[refute_0_839,refute_0_840]) ).
cnf(refute_0_842,plain,
converse(converse(top)) = complement(converse(zero)),
inference(resolve,[$cnf( $equal(converse(converse(complement(converse(zero)))),complement(converse(zero))) )],[refute_0_830,refute_0_841]) ).
cnf(refute_0_843,plain,
converse(converse(top)) = top,
inference(subst,[],[refute_0_177:[bind(X0,$fot(top))]]) ).
cnf(refute_0_844,plain,
( converse(converse(top)) != complement(converse(zero))
| converse(converse(top)) != top
| top = complement(converse(zero)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(top)),complement(converse(zero))) ),[0],$fot(top)]]) ).
cnf(refute_0_845,plain,
( converse(converse(top)) != complement(converse(zero))
| top = complement(converse(zero)) ),
inference(resolve,[$cnf( $equal(converse(converse(top)),top) )],[refute_0_843,refute_0_844]) ).
cnf(refute_0_846,plain,
top = complement(converse(zero)),
inference(resolve,[$cnf( $equal(converse(converse(top)),complement(converse(zero))) )],[refute_0_842,refute_0_845]) ).
cnf(refute_0_847,plain,
( top != complement(converse(zero))
| complement(converse(zero)) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(complement(converse(zero))))]]) ).
cnf(refute_0_848,plain,
complement(converse(zero)) = top,
inference(resolve,[$cnf( $equal(top,complement(converse(zero))) )],[refute_0_846,refute_0_847]) ).
cnf(refute_0_849,plain,
( complement(converse(zero)) != top
| zero != meet(converse(zero),complement(converse(zero)))
| zero = meet(converse(zero),top) ),
introduced(tautology,[equality,[$cnf( $equal(zero,meet(converse(zero),complement(converse(zero)))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_850,plain,
( zero != meet(converse(zero),complement(converse(zero)))
| zero = meet(converse(zero),top) ),
inference(resolve,[$cnf( $equal(complement(converse(zero)),top) )],[refute_0_848,refute_0_849]) ).
cnf(refute_0_851,plain,
zero = meet(converse(zero),top),
inference(resolve,[$cnf( $equal(zero,meet(converse(zero),complement(converse(zero)))) )],[refute_0_829,refute_0_850]) ).
cnf(refute_0_852,plain,
join(zero,meet(X_55,top)) = meet(X_55,top),
inference(subst,[],[refute_0_468:[bind(X_42,$fot(meet(X_55,top)))]]) ).
cnf(refute_0_853,plain,
( X_55 != join(zero,meet(X_55,top))
| join(zero,meet(X_55,top)) != meet(X_55,top)
| X_55 = meet(X_55,top) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_55,meet(X_55,top)) ),[0],$fot(join(zero,meet(X_55,top)))]]) ).
cnf(refute_0_854,plain,
( X_55 != join(zero,meet(X_55,top))
| X_55 = meet(X_55,top) ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_55,top)),meet(X_55,top)) )],[refute_0_852,refute_0_853]) ).
cnf(refute_0_855,plain,
X_55 = meet(X_55,top),
inference(resolve,[$cnf( $equal(X_55,join(zero,meet(X_55,top))) )],[refute_0_361,refute_0_854]) ).
cnf(refute_0_856,plain,
( X_55 != meet(X_55,top)
| meet(X_55,top) = X_55 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(X_55)),bind(Y,$fot(meet(X_55,top)))]]) ).
cnf(refute_0_857,plain,
meet(X_55,top) = X_55,
inference(resolve,[$cnf( $equal(X_55,meet(X_55,top)) )],[refute_0_855,refute_0_856]) ).
cnf(refute_0_858,plain,
meet(converse(zero),top) = converse(zero),
inference(subst,[],[refute_0_857:[bind(X_55,$fot(converse(zero)))]]) ).
cnf(refute_0_859,plain,
( meet(converse(zero),top) != converse(zero)
| zero != meet(converse(zero),top)
| zero = converse(zero) ),
introduced(tautology,[equality,[$cnf( $equal(zero,meet(converse(zero),top)) ),[1],$fot(converse(zero))]]) ).
cnf(refute_0_860,plain,
( zero != meet(converse(zero),top)
| zero = converse(zero) ),
inference(resolve,[$cnf( $equal(meet(converse(zero),top),converse(zero)) )],[refute_0_858,refute_0_859]) ).
cnf(refute_0_861,plain,
zero = converse(zero),
inference(resolve,[$cnf( $equal(zero,meet(converse(zero),top)) )],[refute_0_851,refute_0_860]) ).
cnf(refute_0_862,plain,
( zero != converse(zero)
| converse(zero) = zero ),
inference(subst,[],[refute_0_4:[bind(X,$fot(zero)),bind(Y,$fot(converse(zero)))]]) ).
cnf(refute_0_863,plain,
converse(zero) = zero,
inference(resolve,[$cnf( $equal(zero,converse(zero)) )],[refute_0_861,refute_0_862]) ).
cnf(refute_0_864,plain,
converse(complement(top)) = converse(complement(top)),
introduced(tautology,[refl,[$fot(converse(complement(top)))]]) ).
cnf(refute_0_865,plain,
( complement(top) != zero
| converse(complement(top)) != converse(complement(top))
| converse(complement(top)) = converse(zero) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(top)),converse(complement(top))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_866,plain,
( complement(top) != zero
| converse(complement(top)) = converse(zero) ),
inference(resolve,[$cnf( $equal(converse(complement(top)),converse(complement(top))) )],[refute_0_864,refute_0_865]) ).
cnf(refute_0_867,plain,
converse(complement(top)) = converse(zero),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_73,refute_0_866]) ).
cnf(refute_0_868,plain,
( converse(complement(top)) != converse(zero)
| converse(zero) != zero
| converse(complement(top)) = zero ),
inference(subst,[],[refute_0_25:[bind(X,$fot(converse(complement(top)))),bind(Y,$fot(converse(zero))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_869,plain,
( converse(zero) != zero
| converse(complement(top)) = zero ),
inference(resolve,[$cnf( $equal(converse(complement(top)),converse(zero)) )],[refute_0_867,refute_0_868]) ).
cnf(refute_0_870,plain,
converse(complement(top)) = zero,
inference(resolve,[$cnf( $equal(converse(zero),zero) )],[refute_0_863,refute_0_869]) ).
cnf(refute_0_871,plain,
complement(converse(complement(top))) = complement(converse(complement(top))),
introduced(tautology,[refl,[$fot(complement(converse(complement(top))))]]) ).
cnf(refute_0_872,plain,
( complement(converse(complement(top))) != complement(converse(complement(top)))
| converse(complement(top)) != zero
| complement(converse(complement(top))) = complement(zero) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(complement(top))),complement(converse(complement(top)))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_873,plain,
( converse(complement(top)) != zero
| complement(converse(complement(top))) = complement(zero) ),
inference(resolve,[$cnf( $equal(complement(converse(complement(top))),complement(converse(complement(top)))) )],[refute_0_871,refute_0_872]) ).
cnf(refute_0_874,plain,
complement(converse(complement(top))) = complement(zero),
inference(resolve,[$cnf( $equal(converse(complement(top)),zero) )],[refute_0_870,refute_0_873]) ).
cnf(refute_0_875,plain,
( complement(converse(complement(top))) != complement(zero)
| complement(zero) != top
| complement(converse(complement(top))) = top ),
inference(subst,[],[refute_0_25:[bind(X,$fot(complement(converse(complement(top))))),bind(Y,$fot(complement(zero))),bind(Z,$fot(top))]]) ).
cnf(refute_0_876,plain,
( complement(zero) != top
| complement(converse(complement(top))) = top ),
inference(resolve,[$cnf( $equal(complement(converse(complement(top))),complement(zero)) )],[refute_0_874,refute_0_875]) ).
cnf(refute_0_877,plain,
complement(converse(complement(top))) = top,
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_294,refute_0_876]) ).
cnf(refute_0_878,plain,
converse(complement(converse(complement(top)))) = converse(complement(converse(complement(top)))),
introduced(tautology,[refl,[$fot(converse(complement(converse(complement(top)))))]]) ).
cnf(refute_0_879,plain,
( complement(converse(complement(top))) != top
| converse(complement(converse(complement(top)))) != converse(complement(converse(complement(top))))
| converse(complement(converse(complement(top)))) = converse(top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(complement(top)))),converse(complement(converse(complement(top))))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_880,plain,
( complement(converse(complement(top))) != top
| converse(complement(converse(complement(top)))) = converse(top) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(complement(top)))),converse(complement(converse(complement(top))))) )],[refute_0_878,refute_0_879]) ).
cnf(refute_0_881,plain,
converse(complement(converse(complement(top)))) = converse(top),
inference(resolve,[$cnf( $equal(complement(converse(complement(top))),top) )],[refute_0_877,refute_0_880]) ).
cnf(refute_0_882,plain,
join(zero,converse(complement(converse(complement(top))))) = join(zero,converse(complement(converse(complement(top))))),
introduced(tautology,[refl,[$fot(join(zero,converse(complement(converse(complement(top))))))]]) ).
cnf(refute_0_883,plain,
( converse(complement(converse(complement(top)))) != converse(top)
| join(zero,converse(complement(converse(complement(top))))) != join(zero,converse(complement(converse(complement(top)))))
| join(zero,converse(complement(converse(complement(top))))) = join(zero,converse(top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,converse(complement(converse(complement(top))))),join(zero,converse(complement(converse(complement(top)))))) ),[1,1],$fot(converse(top))]]) ).
cnf(refute_0_884,plain,
( converse(complement(converse(complement(top)))) != converse(top)
| join(zero,converse(complement(converse(complement(top))))) = join(zero,converse(top)) ),
inference(resolve,[$cnf( $equal(join(zero,converse(complement(converse(complement(top))))),join(zero,converse(complement(converse(complement(top)))))) )],[refute_0_882,refute_0_883]) ).
cnf(refute_0_885,plain,
join(zero,converse(complement(converse(complement(top))))) = join(zero,converse(top)),
inference(resolve,[$cnf( $equal(converse(complement(converse(complement(top)))),converse(top)) )],[refute_0_881,refute_0_884]) ).
cnf(refute_0_886,plain,
join(complement(converse(top)),converse(complement(converse(complement(top))))) = join(complement(converse(top)),converse(complement(converse(complement(top))))),
introduced(tautology,[refl,[$fot(join(complement(converse(top)),converse(complement(converse(complement(top))))))]]) ).
cnf(refute_0_887,plain,
( complement(converse(top)) != zero
| join(complement(converse(top)),converse(complement(converse(complement(top))))) != join(complement(converse(top)),converse(complement(converse(complement(top)))))
| join(complement(converse(top)),converse(complement(converse(complement(top))))) = join(zero,converse(complement(converse(complement(top))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(top)),converse(complement(converse(complement(top))))),join(complement(converse(top)),converse(complement(converse(complement(top)))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_888,plain,
( complement(converse(top)) != zero
| join(complement(converse(top)),converse(complement(converse(complement(top))))) = join(zero,converse(complement(converse(complement(top))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),converse(complement(converse(complement(top))))),join(complement(converse(top)),converse(complement(converse(complement(top)))))) )],[refute_0_886,refute_0_887]) ).
cnf(refute_0_889,plain,
join(complement(converse(top)),converse(complement(converse(complement(top))))) = join(zero,converse(complement(converse(complement(top))))),
inference(resolve,[$cnf( $equal(complement(converse(top)),zero) )],[refute_0_774,refute_0_888]) ).
cnf(refute_0_890,plain,
( join(complement(converse(top)),converse(complement(converse(complement(top))))) != join(zero,converse(complement(converse(complement(top)))))
| join(zero,converse(complement(converse(complement(top))))) != join(zero,converse(top))
| join(complement(converse(top)),converse(complement(converse(complement(top))))) = join(zero,converse(top)) ),
inference(subst,[],[refute_0_25:[bind(X,$fot(join(complement(converse(top)),converse(complement(converse(complement(top))))))),bind(Y,$fot(join(zero,converse(complement(converse(complement(top))))))),bind(Z,$fot(join(zero,converse(top))))]]) ).
cnf(refute_0_891,plain,
( join(zero,converse(complement(converse(complement(top))))) != join(zero,converse(top))
| join(complement(converse(top)),converse(complement(converse(complement(top))))) = join(zero,converse(top)) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),converse(complement(converse(complement(top))))),join(zero,converse(complement(converse(complement(top)))))) )],[refute_0_889,refute_0_890]) ).
cnf(refute_0_892,plain,
join(complement(converse(top)),converse(complement(converse(complement(top))))) = join(zero,converse(top)),
inference(resolve,[$cnf( $equal(join(zero,converse(complement(converse(complement(top))))),join(zero,converse(top))) )],[refute_0_885,refute_0_891]) ).
cnf(refute_0_893,plain,
( join(complement(converse(top)),converse(complement(converse(complement(top))))) != join(zero,converse(top))
| join(zero,converse(top)) != converse(top)
| join(complement(converse(top)),converse(complement(converse(complement(top))))) = converse(top) ),
inference(subst,[],[refute_0_25:[bind(X,$fot(join(complement(converse(top)),converse(complement(converse(complement(top))))))),bind(Y,$fot(join(zero,converse(top)))),bind(Z,$fot(converse(top)))]]) ).
cnf(refute_0_894,plain,
( join(zero,converse(top)) != converse(top)
| join(complement(converse(top)),converse(complement(converse(complement(top))))) = converse(top) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),converse(complement(converse(complement(top))))),join(zero,converse(top))) )],[refute_0_892,refute_0_893]) ).
cnf(refute_0_895,plain,
join(complement(converse(top)),converse(complement(converse(complement(top))))) = converse(top),
inference(resolve,[$cnf( $equal(join(zero,converse(top)),converse(top)) )],[refute_0_828,refute_0_894]) ).
cnf(refute_0_896,plain,
( join(complement(converse(top)),converse(complement(converse(complement(top))))) != converse(top)
| top != join(complement(converse(top)),converse(complement(converse(complement(top)))))
| top = converse(top) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(converse(top)),converse(complement(converse(complement(top)))))) ),[1],$fot(converse(top))]]) ).
cnf(refute_0_897,plain,
( top != join(complement(converse(top)),converse(complement(converse(complement(top)))))
| top = converse(top) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),converse(complement(converse(complement(top))))),converse(top)) )],[refute_0_895,refute_0_896]) ).
cnf(refute_0_898,plain,
top = converse(top),
inference(resolve,[$cnf( $equal(top,join(complement(converse(top)),converse(complement(converse(complement(top)))))) )],[refute_0_827,refute_0_897]) ).
cnf(refute_0_899,plain,
( top != converse(top)
| converse(top) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(converse(top)))]]) ).
cnf(refute_0_900,plain,
converse(top) = top,
inference(resolve,[$cnf( $equal(top,converse(top)) )],[refute_0_898,refute_0_899]) ).
cnf(refute_0_901,plain,
converse(complement(join(top,X_91))) = converse(complement(join(top,X_91))),
introduced(tautology,[refl,[$fot(converse(complement(join(top,X_91))))]]) ).
cnf(refute_0_902,plain,
( complement(join(top,X_91)) != zero
| converse(complement(join(top,X_91))) != converse(complement(join(top,X_91)))
| converse(complement(join(top,X_91))) = converse(zero) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(join(top,X_91))),converse(complement(join(top,X_91)))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_903,plain,
( complement(join(top,X_91)) != zero
| converse(complement(join(top,X_91))) = converse(zero) ),
inference(resolve,[$cnf( $equal(converse(complement(join(top,X_91))),converse(complement(join(top,X_91)))) )],[refute_0_901,refute_0_902]) ).
cnf(refute_0_904,plain,
converse(complement(join(top,X_91))) = converse(zero),
inference(resolve,[$cnf( $equal(complement(join(top,X_91)),zero) )],[refute_0_819,refute_0_903]) ).
cnf(refute_0_905,plain,
( converse(complement(join(top,X_91))) != converse(zero)
| converse(zero) != zero
| converse(complement(join(top,X_91))) = zero ),
inference(subst,[],[refute_0_25:[bind(X,$fot(converse(complement(join(top,X_91))))),bind(Y,$fot(converse(zero))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_906,plain,
( converse(zero) != zero
| converse(complement(join(top,X_91))) = zero ),
inference(resolve,[$cnf( $equal(converse(complement(join(top,X_91))),converse(zero)) )],[refute_0_904,refute_0_905]) ).
cnf(refute_0_907,plain,
converse(complement(join(top,X_91))) = zero,
inference(resolve,[$cnf( $equal(converse(zero),zero) )],[refute_0_863,refute_0_906]) ).
cnf(refute_0_908,plain,
complement(converse(complement(join(top,X_91)))) = complement(converse(complement(join(top,X_91)))),
introduced(tautology,[refl,[$fot(complement(converse(complement(join(top,X_91)))))]]) ).
cnf(refute_0_909,plain,
( complement(converse(complement(join(top,X_91)))) != complement(converse(complement(join(top,X_91))))
| converse(complement(join(top,X_91))) != zero
| complement(converse(complement(join(top,X_91)))) = complement(zero) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(complement(join(top,X_91)))),complement(converse(complement(join(top,X_91))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_910,plain,
( converse(complement(join(top,X_91))) != zero
| complement(converse(complement(join(top,X_91)))) = complement(zero) ),
inference(resolve,[$cnf( $equal(complement(converse(complement(join(top,X_91)))),complement(converse(complement(join(top,X_91))))) )],[refute_0_908,refute_0_909]) ).
cnf(refute_0_911,plain,
complement(converse(complement(join(top,X_91)))) = complement(zero),
inference(resolve,[$cnf( $equal(converse(complement(join(top,X_91))),zero) )],[refute_0_907,refute_0_910]) ).
cnf(refute_0_912,plain,
( complement(converse(complement(join(top,X_91)))) != complement(zero)
| complement(zero) != top
| complement(converse(complement(join(top,X_91)))) = top ),
inference(subst,[],[refute_0_25:[bind(X,$fot(complement(converse(complement(join(top,X_91)))))),bind(Y,$fot(complement(zero))),bind(Z,$fot(top))]]) ).
cnf(refute_0_913,plain,
( complement(zero) != top
| complement(converse(complement(join(top,X_91)))) = top ),
inference(resolve,[$cnf( $equal(complement(converse(complement(join(top,X_91)))),complement(zero)) )],[refute_0_911,refute_0_912]) ).
cnf(refute_0_914,plain,
complement(converse(complement(join(top,X_91)))) = top,
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_294,refute_0_913]) ).
cnf(refute_0_915,plain,
converse(complement(converse(complement(join(top,X_91))))) = converse(complement(converse(complement(join(top,X_91))))),
introduced(tautology,[refl,[$fot(converse(complement(converse(complement(join(top,X_91))))))]]) ).
cnf(refute_0_916,plain,
( complement(converse(complement(join(top,X_91)))) != top
| converse(complement(converse(complement(join(top,X_91))))) != converse(complement(converse(complement(join(top,X_91)))))
| converse(complement(converse(complement(join(top,X_91))))) = converse(top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(complement(join(top,X_91))))),converse(complement(converse(complement(join(top,X_91)))))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_917,plain,
( complement(converse(complement(join(top,X_91)))) != top
| converse(complement(converse(complement(join(top,X_91))))) = converse(top) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(complement(join(top,X_91))))),converse(complement(converse(complement(join(top,X_91)))))) )],[refute_0_915,refute_0_916]) ).
cnf(refute_0_918,plain,
converse(complement(converse(complement(join(top,X_91))))) = converse(top),
inference(resolve,[$cnf( $equal(complement(converse(complement(join(top,X_91)))),top) )],[refute_0_914,refute_0_917]) ).
cnf(refute_0_919,plain,
( converse(complement(converse(complement(join(top,X_91))))) != converse(top)
| converse(top) != top
| converse(complement(converse(complement(join(top,X_91))))) = top ),
inference(subst,[],[refute_0_25:[bind(X,$fot(converse(complement(converse(complement(join(top,X_91))))))),bind(Y,$fot(converse(top))),bind(Z,$fot(top))]]) ).
cnf(refute_0_920,plain,
( converse(top) != top
| converse(complement(converse(complement(join(top,X_91))))) = top ),
inference(resolve,[$cnf( $equal(converse(complement(converse(complement(join(top,X_91))))),converse(top)) )],[refute_0_918,refute_0_919]) ).
cnf(refute_0_921,plain,
converse(complement(converse(complement(join(top,X_91))))) = top,
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_900,refute_0_920]) ).
cnf(refute_0_922,plain,
( converse(complement(converse(complement(join(top,X_91))))) != join(join(top,X_91),meet(zero,converse(complement(converse(complement(join(top,X_91)))))))
| converse(complement(converse(complement(join(top,X_91))))) != top
| top = join(join(top,X_91),meet(zero,converse(complement(converse(complement(join(top,X_91))))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(complement(join(top,X_91))))),join(join(top,X_91),meet(zero,converse(complement(converse(complement(join(top,X_91)))))))) ),[0],$fot(top)]]) ).
cnf(refute_0_923,plain,
( converse(complement(converse(complement(join(top,X_91))))) != join(join(top,X_91),meet(zero,converse(complement(converse(complement(join(top,X_91)))))))
| top = join(join(top,X_91),meet(zero,converse(complement(converse(complement(join(top,X_91))))))) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(complement(join(top,X_91))))),top) )],[refute_0_921,refute_0_922]) ).
cnf(refute_0_924,plain,
join(X_91,zero) = X_91,
inference(subst,[],[refute_0_745:[bind(X0,$fot(X_91))]]) ).
cnf(refute_0_925,plain,
meet(zero,converse(complement(converse(complement(join(top,X_91)))))) = zero,
inference(subst,[],[refute_0_761:[bind(X1,$fot(converse(complement(converse(complement(join(top,X_91)))))))]]) ).
cnf(refute_0_926,plain,
join(X_91,meet(zero,converse(complement(converse(complement(join(top,X_91))))))) = join(X_91,meet(zero,converse(complement(converse(complement(join(top,X_91))))))),
introduced(tautology,[refl,[$fot(join(X_91,meet(zero,converse(complement(converse(complement(join(top,X_91))))))))]]) ).
cnf(refute_0_927,plain,
( join(X_91,meet(zero,converse(complement(converse(complement(join(top,X_91))))))) != join(X_91,meet(zero,converse(complement(converse(complement(join(top,X_91)))))))
| meet(zero,converse(complement(converse(complement(join(top,X_91)))))) != zero
| join(X_91,meet(zero,converse(complement(converse(complement(join(top,X_91))))))) = join(X_91,zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_91,meet(zero,converse(complement(converse(complement(join(top,X_91))))))),join(X_91,meet(zero,converse(complement(converse(complement(join(top,X_91)))))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_928,plain,
( meet(zero,converse(complement(converse(complement(join(top,X_91)))))) != zero
| join(X_91,meet(zero,converse(complement(converse(complement(join(top,X_91))))))) = join(X_91,zero) ),
inference(resolve,[$cnf( $equal(join(X_91,meet(zero,converse(complement(converse(complement(join(top,X_91))))))),join(X_91,meet(zero,converse(complement(converse(complement(join(top,X_91)))))))) )],[refute_0_926,refute_0_927]) ).
cnf(refute_0_929,plain,
join(X_91,meet(zero,converse(complement(converse(complement(join(top,X_91))))))) = join(X_91,zero),
inference(resolve,[$cnf( $equal(meet(zero,converse(complement(converse(complement(join(top,X_91)))))),zero) )],[refute_0_925,refute_0_928]) ).
cnf(refute_0_930,plain,
( join(X_91,meet(zero,converse(complement(converse(complement(join(top,X_91))))))) != join(X_91,zero)
| join(X_91,zero) != X_91
| join(X_91,meet(zero,converse(complement(converse(complement(join(top,X_91))))))) = X_91 ),
inference(subst,[],[refute_0_25:[bind(X,$fot(join(X_91,meet(zero,converse(complement(converse(complement(join(top,X_91))))))))),bind(Y,$fot(join(X_91,zero))),bind(Z,$fot(X_91))]]) ).
cnf(refute_0_931,plain,
( join(X_91,zero) != X_91
| join(X_91,meet(zero,converse(complement(converse(complement(join(top,X_91))))))) = X_91 ),
inference(resolve,[$cnf( $equal(join(X_91,meet(zero,converse(complement(converse(complement(join(top,X_91))))))),join(X_91,zero)) )],[refute_0_929,refute_0_930]) ).
cnf(refute_0_932,plain,
join(X_91,meet(zero,converse(complement(converse(complement(join(top,X_91))))))) = X_91,
inference(resolve,[$cnf( $equal(join(X_91,zero),X_91) )],[refute_0_924,refute_0_931]) ).
cnf(refute_0_933,plain,
join(top,join(X_91,meet(zero,converse(complement(converse(complement(join(top,X_91)))))))) = join(top,join(X_91,meet(zero,converse(complement(converse(complement(join(top,X_91)))))))),
introduced(tautology,[refl,[$fot(join(top,join(X_91,meet(zero,converse(complement(converse(complement(join(top,X_91)))))))))]]) ).
cnf(refute_0_934,plain,
( join(X_91,meet(zero,converse(complement(converse(complement(join(top,X_91))))))) != X_91
| join(top,join(X_91,meet(zero,converse(complement(converse(complement(join(top,X_91)))))))) != join(top,join(X_91,meet(zero,converse(complement(converse(complement(join(top,X_91))))))))
| join(top,join(X_91,meet(zero,converse(complement(converse(complement(join(top,X_91)))))))) = join(top,X_91) ),
introduced(tautology,[equality,[$cnf( $equal(join(top,join(X_91,meet(zero,converse(complement(converse(complement(join(top,X_91)))))))),join(top,join(X_91,meet(zero,converse(complement(converse(complement(join(top,X_91))))))))) ),[1,1],$fot(X_91)]]) ).
cnf(refute_0_935,plain,
( join(X_91,meet(zero,converse(complement(converse(complement(join(top,X_91))))))) != X_91
| join(top,join(X_91,meet(zero,converse(complement(converse(complement(join(top,X_91)))))))) = join(top,X_91) ),
inference(resolve,[$cnf( $equal(join(top,join(X_91,meet(zero,converse(complement(converse(complement(join(top,X_91)))))))),join(top,join(X_91,meet(zero,converse(complement(converse(complement(join(top,X_91))))))))) )],[refute_0_933,refute_0_934]) ).
cnf(refute_0_936,plain,
join(top,join(X_91,meet(zero,converse(complement(converse(complement(join(top,X_91)))))))) = join(top,X_91),
inference(resolve,[$cnf( $equal(join(X_91,meet(zero,converse(complement(converse(complement(join(top,X_91))))))),X_91) )],[refute_0_932,refute_0_935]) ).
cnf(refute_0_937,plain,
join(join(top,X_91),meet(zero,converse(complement(converse(complement(join(top,X_91))))))) = join(top,join(X_91,meet(zero,converse(complement(converse(complement(join(top,X_91)))))))),
inference(subst,[],[refute_0_43:[bind(X0,$fot(top)),bind(X1,$fot(X_91)),bind(X2,$fot(meet(zero,converse(complement(converse(complement(join(top,X_91))))))))]]) ).
cnf(refute_0_938,plain,
( join(join(top,X_91),meet(zero,converse(complement(converse(complement(join(top,X_91))))))) != join(top,join(X_91,meet(zero,converse(complement(converse(complement(join(top,X_91))))))))
| join(top,join(X_91,meet(zero,converse(complement(converse(complement(join(top,X_91)))))))) != join(top,X_91)
| join(join(top,X_91),meet(zero,converse(complement(converse(complement(join(top,X_91))))))) = join(top,X_91) ),
inference(subst,[],[refute_0_25:[bind(X,$fot(join(join(top,X_91),meet(zero,converse(complement(converse(complement(join(top,X_91))))))))),bind(Y,$fot(join(top,join(X_91,meet(zero,converse(complement(converse(complement(join(top,X_91)))))))))),bind(Z,$fot(join(top,X_91)))]]) ).
cnf(refute_0_939,plain,
( join(top,join(X_91,meet(zero,converse(complement(converse(complement(join(top,X_91)))))))) != join(top,X_91)
| join(join(top,X_91),meet(zero,converse(complement(converse(complement(join(top,X_91))))))) = join(top,X_91) ),
inference(resolve,[$cnf( $equal(join(join(top,X_91),meet(zero,converse(complement(converse(complement(join(top,X_91))))))),join(top,join(X_91,meet(zero,converse(complement(converse(complement(join(top,X_91))))))))) )],[refute_0_937,refute_0_938]) ).
cnf(refute_0_940,plain,
join(join(top,X_91),meet(zero,converse(complement(converse(complement(join(top,X_91))))))) = join(top,X_91),
inference(resolve,[$cnf( $equal(join(top,join(X_91,meet(zero,converse(complement(converse(complement(join(top,X_91)))))))),join(top,X_91)) )],[refute_0_936,refute_0_939]) ).
cnf(refute_0_941,plain,
( join(join(top,X_91),meet(zero,converse(complement(converse(complement(join(top,X_91))))))) != join(top,X_91)
| top != join(join(top,X_91),meet(zero,converse(complement(converse(complement(join(top,X_91)))))))
| top = join(top,X_91) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(join(top,X_91),meet(zero,converse(complement(converse(complement(join(top,X_91)))))))) ),[1],$fot(join(top,X_91))]]) ).
cnf(refute_0_942,plain,
( top != join(join(top,X_91),meet(zero,converse(complement(converse(complement(join(top,X_91)))))))
| top = join(top,X_91) ),
inference(resolve,[$cnf( $equal(join(join(top,X_91),meet(zero,converse(complement(converse(complement(join(top,X_91))))))),join(top,X_91)) )],[refute_0_940,refute_0_941]) ).
cnf(refute_0_943,plain,
( converse(complement(converse(complement(join(top,X_91))))) != join(join(top,X_91),meet(zero,converse(complement(converse(complement(join(top,X_91)))))))
| top = join(top,X_91) ),
inference(resolve,[$cnf( $equal(top,join(join(top,X_91),meet(zero,converse(complement(converse(complement(join(top,X_91)))))))) )],[refute_0_923,refute_0_942]) ).
cnf(refute_0_944,plain,
top = join(top,X_91),
inference(resolve,[$cnf( $equal(converse(complement(converse(complement(join(top,X_91))))),join(join(top,X_91),meet(zero,converse(complement(converse(complement(join(top,X_91)))))))) )],[refute_0_822,refute_0_943]) ).
cnf(refute_0_945,plain,
( top != join(top,X_91)
| join(top,X_91) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(top,X_91)))]]) ).
cnf(refute_0_946,plain,
join(top,X_91) = top,
inference(resolve,[$cnf( $equal(top,join(top,X_91)) )],[refute_0_944,refute_0_945]) ).
cnf(refute_0_947,plain,
join(top,X_85) = top,
inference(subst,[],[refute_0_946:[bind(X_91,$fot(X_85))]]) ).
cnf(refute_0_948,plain,
( join(X_83,join(complement(X_83),X_85)) != join(top,X_85)
| join(top,X_85) != top
| join(X_83,join(complement(X_83),X_85)) = top ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_83,join(complement(X_83),X_85)),top) ),[0],$fot(join(top,X_85))]]) ).
cnf(refute_0_949,plain,
( join(X_83,join(complement(X_83),X_85)) != join(top,X_85)
| join(X_83,join(complement(X_83),X_85)) = top ),
inference(resolve,[$cnf( $equal(join(top,X_85),top) )],[refute_0_947,refute_0_948]) ).
cnf(refute_0_950,plain,
join(X_83,join(complement(X_83),X_85)) = top,
inference(resolve,[$cnf( $equal(join(X_83,join(complement(X_83),X_85)),join(top,X_85)) )],[refute_0_694,refute_0_949]) ).
cnf(refute_0_951,plain,
join(X_248,join(complement(X_248),X_85)) = top,
inference(subst,[],[refute_0_950:[bind(X_83,$fot(X_248))]]) ).
cnf(refute_0_952,plain,
( complement(X_248) != join(complement(join(X_248,join(complement(X_248),X_85))),meet(complement(X_248),join(complement(X_248),X_85)))
| join(X_248,join(complement(X_248),X_85)) != top
| complement(X_248) = join(complement(top),meet(complement(X_248),join(complement(X_248),X_85))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(X_248),join(complement(join(X_248,join(complement(X_248),X_85))),meet(complement(X_248),join(complement(X_248),X_85)))) ),[1,0,0],$fot(top)]]) ).
cnf(refute_0_953,plain,
( complement(X_248) != join(complement(join(X_248,join(complement(X_248),X_85))),meet(complement(X_248),join(complement(X_248),X_85)))
| complement(X_248) = join(complement(top),meet(complement(X_248),join(complement(X_248),X_85))) ),
inference(resolve,[$cnf( $equal(join(X_248,join(complement(X_248),X_85)),top) )],[refute_0_951,refute_0_952]) ).
cnf(refute_0_954,plain,
complement(X_248) = join(complement(top),meet(complement(X_248),join(complement(X_248),X_85))),
inference(resolve,[$cnf( $equal(complement(X_248),join(complement(join(X_248,join(complement(X_248),X_85))),meet(complement(X_248),join(complement(X_248),X_85)))) )],[refute_0_687,refute_0_953]) ).
cnf(refute_0_955,plain,
join(zero,meet(complement(X_248),join(complement(X_248),X_85))) = meet(complement(X_248),join(complement(X_248),X_85)),
inference(subst,[],[refute_0_468:[bind(X_42,$fot(meet(complement(X_248),join(complement(X_248),X_85))))]]) ).
cnf(refute_0_956,plain,
join(complement(top),meet(complement(X_248),join(complement(X_248),X_85))) = join(complement(top),meet(complement(X_248),join(complement(X_248),X_85))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(complement(X_248),join(complement(X_248),X_85))))]]) ).
cnf(refute_0_957,plain,
( complement(top) != zero
| join(complement(top),meet(complement(X_248),join(complement(X_248),X_85))) != join(complement(top),meet(complement(X_248),join(complement(X_248),X_85)))
| join(complement(top),meet(complement(X_248),join(complement(X_248),X_85))) = join(zero,meet(complement(X_248),join(complement(X_248),X_85))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(complement(X_248),join(complement(X_248),X_85))),join(complement(top),meet(complement(X_248),join(complement(X_248),X_85)))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_958,plain,
( complement(top) != zero
| join(complement(top),meet(complement(X_248),join(complement(X_248),X_85))) = join(zero,meet(complement(X_248),join(complement(X_248),X_85))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(X_248),join(complement(X_248),X_85))),join(complement(top),meet(complement(X_248),join(complement(X_248),X_85)))) )],[refute_0_956,refute_0_957]) ).
cnf(refute_0_959,plain,
join(complement(top),meet(complement(X_248),join(complement(X_248),X_85))) = join(zero,meet(complement(X_248),join(complement(X_248),X_85))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_73,refute_0_958]) ).
cnf(refute_0_960,plain,
( join(complement(top),meet(complement(X_248),join(complement(X_248),X_85))) != join(zero,meet(complement(X_248),join(complement(X_248),X_85)))
| join(zero,meet(complement(X_248),join(complement(X_248),X_85))) != meet(complement(X_248),join(complement(X_248),X_85))
| join(complement(top),meet(complement(X_248),join(complement(X_248),X_85))) = meet(complement(X_248),join(complement(X_248),X_85)) ),
inference(subst,[],[refute_0_25:[bind(X,$fot(join(complement(top),meet(complement(X_248),join(complement(X_248),X_85))))),bind(Y,$fot(join(zero,meet(complement(X_248),join(complement(X_248),X_85))))),bind(Z,$fot(meet(complement(X_248),join(complement(X_248),X_85))))]]) ).
cnf(refute_0_961,plain,
( join(zero,meet(complement(X_248),join(complement(X_248),X_85))) != meet(complement(X_248),join(complement(X_248),X_85))
| join(complement(top),meet(complement(X_248),join(complement(X_248),X_85))) = meet(complement(X_248),join(complement(X_248),X_85)) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(X_248),join(complement(X_248),X_85))),join(zero,meet(complement(X_248),join(complement(X_248),X_85)))) )],[refute_0_959,refute_0_960]) ).
cnf(refute_0_962,plain,
join(complement(top),meet(complement(X_248),join(complement(X_248),X_85))) = meet(complement(X_248),join(complement(X_248),X_85)),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(X_248),join(complement(X_248),X_85))),meet(complement(X_248),join(complement(X_248),X_85))) )],[refute_0_955,refute_0_961]) ).
cnf(refute_0_963,plain,
( complement(X_248) != join(complement(top),meet(complement(X_248),join(complement(X_248),X_85)))
| join(complement(top),meet(complement(X_248),join(complement(X_248),X_85))) != meet(complement(X_248),join(complement(X_248),X_85))
| complement(X_248) = meet(complement(X_248),join(complement(X_248),X_85)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(X_248),meet(complement(X_248),join(complement(X_248),X_85))) ),[0],$fot(join(complement(top),meet(complement(X_248),join(complement(X_248),X_85))))]]) ).
cnf(refute_0_964,plain,
( complement(X_248) != join(complement(top),meet(complement(X_248),join(complement(X_248),X_85)))
| complement(X_248) = meet(complement(X_248),join(complement(X_248),X_85)) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(complement(X_248),join(complement(X_248),X_85))),meet(complement(X_248),join(complement(X_248),X_85))) )],[refute_0_962,refute_0_963]) ).
cnf(refute_0_965,plain,
complement(X_248) = meet(complement(X_248),join(complement(X_248),X_85)),
inference(resolve,[$cnf( $equal(complement(X_248),join(complement(top),meet(complement(X_248),join(complement(X_248),X_85)))) )],[refute_0_954,refute_0_964]) ).
cnf(refute_0_966,plain,
complement(complement(X_42)) = meet(complement(complement(X_42)),join(complement(complement(X_42)),X_252)),
inference(subst,[],[refute_0_965:[bind(X_248,$fot(complement(X_42))),bind(X_85,$fot(X_252))]]) ).
cnf(refute_0_967,plain,
( complement(complement(X_42)) != X_42
| complement(complement(X_42)) != meet(complement(complement(X_42)),join(complement(complement(X_42)),X_252))
| complement(complement(X_42)) = meet(complement(complement(X_42)),join(X_42,X_252)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(X_42)),meet(complement(complement(X_42)),join(complement(complement(X_42)),X_252))) ),[1,1,0],$fot(X_42)]]) ).
cnf(refute_0_968,plain,
( complement(complement(X_42)) != meet(complement(complement(X_42)),join(complement(complement(X_42)),X_252))
| complement(complement(X_42)) = meet(complement(complement(X_42)),join(X_42,X_252)) ),
inference(resolve,[$cnf( $equal(complement(complement(X_42)),X_42) )],[refute_0_398,refute_0_967]) ).
cnf(refute_0_969,plain,
complement(complement(X_42)) = meet(complement(complement(X_42)),join(X_42,X_252)),
inference(resolve,[$cnf( $equal(complement(complement(X_42)),meet(complement(complement(X_42)),join(complement(complement(X_42)),X_252))) )],[refute_0_966,refute_0_968]) ).
cnf(refute_0_970,plain,
( complement(complement(X_42)) != X_42
| complement(complement(X_42)) != meet(complement(complement(X_42)),join(X_42,X_252))
| X_42 = meet(complement(complement(X_42)),join(X_42,X_252)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(X_42)),meet(complement(complement(X_42)),join(X_42,X_252))) ),[0],$fot(X_42)]]) ).
cnf(refute_0_971,plain,
( complement(complement(X_42)) != meet(complement(complement(X_42)),join(X_42,X_252))
| X_42 = meet(complement(complement(X_42)),join(X_42,X_252)) ),
inference(resolve,[$cnf( $equal(complement(complement(X_42)),X_42) )],[refute_0_398,refute_0_970]) ).
cnf(refute_0_972,plain,
meet(complement(complement(X_42)),join(X_42,X_252)) = meet(complement(complement(X_42)),join(X_42,X_252)),
introduced(tautology,[refl,[$fot(meet(complement(complement(X_42)),join(X_42,X_252)))]]) ).
cnf(refute_0_973,plain,
( complement(complement(X_42)) != X_42
| meet(complement(complement(X_42)),join(X_42,X_252)) != meet(complement(complement(X_42)),join(X_42,X_252))
| meet(complement(complement(X_42)),join(X_42,X_252)) = meet(X_42,join(X_42,X_252)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(complement(X_42)),join(X_42,X_252)),meet(complement(complement(X_42)),join(X_42,X_252))) ),[1,0],$fot(X_42)]]) ).
cnf(refute_0_974,plain,
( complement(complement(X_42)) != X_42
| meet(complement(complement(X_42)),join(X_42,X_252)) = meet(X_42,join(X_42,X_252)) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(X_42)),join(X_42,X_252)),meet(complement(complement(X_42)),join(X_42,X_252))) )],[refute_0_972,refute_0_973]) ).
cnf(refute_0_975,plain,
meet(complement(complement(X_42)),join(X_42,X_252)) = meet(X_42,join(X_42,X_252)),
inference(resolve,[$cnf( $equal(complement(complement(X_42)),X_42) )],[refute_0_398,refute_0_974]) ).
cnf(refute_0_976,plain,
( X_42 != meet(complement(complement(X_42)),join(X_42,X_252))
| meet(complement(complement(X_42)),join(X_42,X_252)) != meet(X_42,join(X_42,X_252))
| X_42 = meet(X_42,join(X_42,X_252)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_42,meet(X_42,join(X_42,X_252))) ),[0],$fot(meet(complement(complement(X_42)),join(X_42,X_252)))]]) ).
cnf(refute_0_977,plain,
( X_42 != meet(complement(complement(X_42)),join(X_42,X_252))
| X_42 = meet(X_42,join(X_42,X_252)) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(X_42)),join(X_42,X_252)),meet(X_42,join(X_42,X_252))) )],[refute_0_975,refute_0_976]) ).
cnf(refute_0_978,plain,
( complement(complement(X_42)) != meet(complement(complement(X_42)),join(X_42,X_252))
| X_42 = meet(X_42,join(X_42,X_252)) ),
inference(resolve,[$cnf( $equal(X_42,meet(complement(complement(X_42)),join(X_42,X_252))) )],[refute_0_971,refute_0_977]) ).
cnf(refute_0_979,plain,
X_42 = meet(X_42,join(X_42,X_252)),
inference(resolve,[$cnf( $equal(complement(complement(X_42)),meet(complement(complement(X_42)),join(X_42,X_252))) )],[refute_0_969,refute_0_978]) ).
cnf(refute_0_980,plain,
X_370 = meet(X_370,join(X_370,X_369)),
inference(subst,[],[refute_0_979:[bind(X_252,$fot(X_369)),bind(X_42,$fot(X_370))]]) ).
cnf(refute_0_981,plain,
join(X_369,X_370) = join(X_370,X_369),
inference(subst,[],[refute_0_1:[bind(X0,$fot(X_369)),bind(X1,$fot(X_370))]]) ).
cnf(refute_0_982,plain,
( join(X_369,X_370) != join(X_370,X_369)
| join(X_370,X_369) = join(X_369,X_370) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(X_369,X_370))),bind(Y,$fot(join(X_370,X_369)))]]) ).
cnf(refute_0_983,plain,
join(X_370,X_369) = join(X_369,X_370),
inference(resolve,[$cnf( $equal(join(X_369,X_370),join(X_370,X_369)) )],[refute_0_981,refute_0_982]) ).
cnf(refute_0_984,plain,
( X_370 != meet(X_370,join(X_370,X_369))
| join(X_370,X_369) != join(X_369,X_370)
| X_370 = meet(X_370,join(X_369,X_370)) ),
introduced(tautology,[equality,[$cnf( $equal(X_370,meet(X_370,join(X_370,X_369))) ),[1,1],$fot(join(X_369,X_370))]]) ).
cnf(refute_0_985,plain,
( X_370 != meet(X_370,join(X_370,X_369))
| X_370 = meet(X_370,join(X_369,X_370)) ),
inference(resolve,[$cnf( $equal(join(X_370,X_369),join(X_369,X_370)) )],[refute_0_983,refute_0_984]) ).
cnf(refute_0_986,plain,
X_370 = meet(X_370,join(X_369,X_370)),
inference(resolve,[$cnf( $equal(X_370,meet(X_370,join(X_370,X_369))) )],[refute_0_980,refute_0_985]) ).
cnf(refute_0_987,plain,
( X_370 != meet(X_370,join(X_369,X_370))
| meet(X_370,join(X_369,X_370)) = X_370 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(X_370)),bind(Y,$fot(meet(X_370,join(X_369,X_370))))]]) ).
cnf(refute_0_988,plain,
meet(X_370,join(X_369,X_370)) = X_370,
inference(resolve,[$cnf( $equal(X_370,meet(X_370,join(X_369,X_370))) )],[refute_0_986,refute_0_987]) ).
cnf(refute_0_989,plain,
meet(X_42,join(complement(X_384),X_42)) = X_42,
inference(subst,[],[refute_0_988:[bind(X_369,$fot(complement(X_384))),bind(X_370,$fot(X_42))]]) ).
cnf(refute_0_990,plain,
meet(X_42,complement(meet(X_384,complement(X_42)))) = meet(X_42,complement(meet(X_384,complement(X_42)))),
introduced(tautology,[refl,[$fot(meet(X_42,complement(meet(X_384,complement(X_42)))))]]) ).
cnf(refute_0_991,plain,
( complement(meet(X_384,complement(X_42))) != join(complement(X_384),X_42)
| meet(X_42,complement(meet(X_384,complement(X_42)))) != meet(X_42,complement(meet(X_384,complement(X_42))))
| meet(X_42,complement(meet(X_384,complement(X_42)))) = meet(X_42,join(complement(X_384),X_42)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_42,complement(meet(X_384,complement(X_42)))),meet(X_42,complement(meet(X_384,complement(X_42))))) ),[1,1],$fot(join(complement(X_384),X_42))]]) ).
cnf(refute_0_992,plain,
( complement(meet(X_384,complement(X_42))) != join(complement(X_384),X_42)
| meet(X_42,complement(meet(X_384,complement(X_42)))) = meet(X_42,join(complement(X_384),X_42)) ),
inference(resolve,[$cnf( $equal(meet(X_42,complement(meet(X_384,complement(X_42)))),meet(X_42,complement(meet(X_384,complement(X_42))))) )],[refute_0_990,refute_0_991]) ).
cnf(refute_0_993,plain,
meet(X_42,complement(meet(X_384,complement(X_42)))) = meet(X_42,join(complement(X_384),X_42)),
inference(resolve,[$cnf( $equal(complement(meet(X_384,complement(X_42))),join(complement(X_384),X_42)) )],[refute_0_680,refute_0_992]) ).
cnf(refute_0_994,plain,
join(X_42,zero) = X_42,
inference(subst,[],[refute_0_745:[bind(X0,$fot(X_42))]]) ).
cnf(refute_0_995,plain,
meet(join(X_42,zero),complement(meet(X_384,complement(X_42)))) = meet(join(X_42,zero),complement(meet(X_384,complement(X_42)))),
introduced(tautology,[refl,[$fot(meet(join(X_42,zero),complement(meet(X_384,complement(X_42)))))]]) ).
cnf(refute_0_996,plain,
( join(X_42,zero) != X_42
| meet(join(X_42,zero),complement(meet(X_384,complement(X_42)))) != meet(join(X_42,zero),complement(meet(X_384,complement(X_42))))
| meet(join(X_42,zero),complement(meet(X_384,complement(X_42)))) = meet(X_42,complement(meet(X_384,complement(X_42)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_42,zero),complement(meet(X_384,complement(X_42)))),meet(join(X_42,zero),complement(meet(X_384,complement(X_42))))) ),[1,0],$fot(X_42)]]) ).
cnf(refute_0_997,plain,
( join(X_42,zero) != X_42
| meet(join(X_42,zero),complement(meet(X_384,complement(X_42)))) = meet(X_42,complement(meet(X_384,complement(X_42)))) ),
inference(resolve,[$cnf( $equal(meet(join(X_42,zero),complement(meet(X_384,complement(X_42)))),meet(join(X_42,zero),complement(meet(X_384,complement(X_42))))) )],[refute_0_995,refute_0_996]) ).
cnf(refute_0_998,plain,
meet(join(X_42,zero),complement(meet(X_384,complement(X_42)))) = meet(X_42,complement(meet(X_384,complement(X_42)))),
inference(resolve,[$cnf( $equal(join(X_42,zero),X_42) )],[refute_0_994,refute_0_997]) ).
cnf(refute_0_999,plain,
( meet(X_42,complement(meet(X_384,complement(X_42)))) != meet(X_42,join(complement(X_384),X_42))
| meet(join(X_42,zero),complement(meet(X_384,complement(X_42)))) != meet(X_42,complement(meet(X_384,complement(X_42))))
| meet(join(X_42,zero),complement(meet(X_384,complement(X_42)))) = meet(X_42,join(complement(X_384),X_42)) ),
inference(subst,[],[refute_0_25:[bind(X,$fot(meet(join(X_42,zero),complement(meet(X_384,complement(X_42)))))),bind(Y,$fot(meet(X_42,complement(meet(X_384,complement(X_42)))))),bind(Z,$fot(meet(X_42,join(complement(X_384),X_42))))]]) ).
cnf(refute_0_1000,plain,
( meet(X_42,complement(meet(X_384,complement(X_42)))) != meet(X_42,join(complement(X_384),X_42))
| meet(join(X_42,zero),complement(meet(X_384,complement(X_42)))) = meet(X_42,join(complement(X_384),X_42)) ),
inference(resolve,[$cnf( $equal(meet(join(X_42,zero),complement(meet(X_384,complement(X_42)))),meet(X_42,complement(meet(X_384,complement(X_42))))) )],[refute_0_998,refute_0_999]) ).
cnf(refute_0_1001,plain,
meet(join(X_42,zero),complement(meet(X_384,complement(X_42)))) = meet(X_42,join(complement(X_384),X_42)),
inference(resolve,[$cnf( $equal(meet(X_42,complement(meet(X_384,complement(X_42)))),meet(X_42,join(complement(X_384),X_42))) )],[refute_0_993,refute_0_1000]) ).
cnf(refute_0_1002,plain,
( meet(X_42,join(complement(X_384),X_42)) != X_42
| meet(join(X_42,zero),complement(meet(X_384,complement(X_42)))) != meet(X_42,join(complement(X_384),X_42))
| meet(join(X_42,zero),complement(meet(X_384,complement(X_42)))) = X_42 ),
inference(subst,[],[refute_0_25:[bind(X,$fot(meet(join(X_42,zero),complement(meet(X_384,complement(X_42)))))),bind(Y,$fot(meet(X_42,join(complement(X_384),X_42)))),bind(Z,$fot(X_42))]]) ).
cnf(refute_0_1003,plain,
( meet(X_42,join(complement(X_384),X_42)) != X_42
| meet(join(X_42,zero),complement(meet(X_384,complement(X_42)))) = X_42 ),
inference(resolve,[$cnf( $equal(meet(join(X_42,zero),complement(meet(X_384,complement(X_42)))),meet(X_42,join(complement(X_384),X_42))) )],[refute_0_1001,refute_0_1002]) ).
cnf(refute_0_1004,plain,
meet(join(X_42,zero),complement(meet(X_384,complement(X_42)))) = X_42,
inference(resolve,[$cnf( $equal(meet(X_42,join(complement(X_384),X_42)),X_42) )],[refute_0_989,refute_0_1003]) ).
cnf(refute_0_1005,plain,
meet(complement(meet(X_384,complement(X_42))),join(X_42,zero)) = meet(join(X_42,zero),complement(meet(X_384,complement(X_42)))),
inference(subst,[],[refute_0_792:[bind(X_14,$fot(join(X_42,zero))),bind(X_15,$fot(complement(meet(X_384,complement(X_42)))))]]) ).
cnf(refute_0_1006,plain,
( meet(complement(meet(X_384,complement(X_42))),join(X_42,zero)) != meet(join(X_42,zero),complement(meet(X_384,complement(X_42))))
| meet(join(X_42,zero),complement(meet(X_384,complement(X_42)))) != X_42
| meet(complement(meet(X_384,complement(X_42))),join(X_42,zero)) = X_42 ),
inference(subst,[],[refute_0_25:[bind(X,$fot(meet(complement(meet(X_384,complement(X_42))),join(X_42,zero)))),bind(Y,$fot(meet(join(X_42,zero),complement(meet(X_384,complement(X_42)))))),bind(Z,$fot(X_42))]]) ).
cnf(refute_0_1007,plain,
( meet(join(X_42,zero),complement(meet(X_384,complement(X_42)))) != X_42
| meet(complement(meet(X_384,complement(X_42))),join(X_42,zero)) = X_42 ),
inference(resolve,[$cnf( $equal(meet(complement(meet(X_384,complement(X_42))),join(X_42,zero)),meet(join(X_42,zero),complement(meet(X_384,complement(X_42))))) )],[refute_0_1005,refute_0_1006]) ).
cnf(refute_0_1008,plain,
meet(complement(meet(X_384,complement(X_42))),join(X_42,zero)) = X_42,
inference(resolve,[$cnf( $equal(meet(join(X_42,zero),complement(meet(X_384,complement(X_42)))),X_42) )],[refute_0_1004,refute_0_1007]) ).
cnf(refute_0_1009,plain,
meet(X_384,meet(complement(meet(X_384,complement(X_42))),join(X_42,zero))) = meet(X_384,meet(complement(meet(X_384,complement(X_42))),join(X_42,zero))),
introduced(tautology,[refl,[$fot(meet(X_384,meet(complement(meet(X_384,complement(X_42))),join(X_42,zero))))]]) ).
cnf(refute_0_1010,plain,
( meet(X_384,meet(complement(meet(X_384,complement(X_42))),join(X_42,zero))) != meet(X_384,meet(complement(meet(X_384,complement(X_42))),join(X_42,zero)))
| meet(complement(meet(X_384,complement(X_42))),join(X_42,zero)) != X_42
| meet(X_384,meet(complement(meet(X_384,complement(X_42))),join(X_42,zero))) = meet(X_384,X_42) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_384,meet(complement(meet(X_384,complement(X_42))),join(X_42,zero))),meet(X_384,meet(complement(meet(X_384,complement(X_42))),join(X_42,zero)))) ),[1,1],$fot(X_42)]]) ).
cnf(refute_0_1011,plain,
( meet(complement(meet(X_384,complement(X_42))),join(X_42,zero)) != X_42
| meet(X_384,meet(complement(meet(X_384,complement(X_42))),join(X_42,zero))) = meet(X_384,X_42) ),
inference(resolve,[$cnf( $equal(meet(X_384,meet(complement(meet(X_384,complement(X_42))),join(X_42,zero))),meet(X_384,meet(complement(meet(X_384,complement(X_42))),join(X_42,zero)))) )],[refute_0_1009,refute_0_1010]) ).
cnf(refute_0_1012,plain,
meet(X_384,meet(complement(meet(X_384,complement(X_42))),join(X_42,zero))) = meet(X_384,X_42),
inference(resolve,[$cnf( $equal(meet(complement(meet(X_384,complement(X_42))),join(X_42,zero)),X_42) )],[refute_0_1008,refute_0_1011]) ).
cnf(refute_0_1013,plain,
meet(X_307,complement(join(X_18,complement(X1)))) = complement(join(complement(X_307),join(X_18,complement(X1)))),
inference(subst,[],[refute_0_508:[bind(X0,$fot(X_307)),bind(X_18,$fot(join(X_18,complement(X1))))]]) ).
cnf(refute_0_1014,plain,
( complement(join(X_18,complement(X1))) != meet(complement(X_18),X1)
| meet(X_307,complement(join(X_18,complement(X1)))) != complement(join(complement(X_307),join(X_18,complement(X1))))
| meet(X_307,meet(complement(X_18),X1)) = complement(join(complement(X_307),join(X_18,complement(X1)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_307,complement(join(X_18,complement(X1)))),complement(join(complement(X_307),join(X_18,complement(X1))))) ),[0,1],$fot(meet(complement(X_18),X1))]]) ).
cnf(refute_0_1015,plain,
( meet(X_307,complement(join(X_18,complement(X1)))) != complement(join(complement(X_307),join(X_18,complement(X1))))
| meet(X_307,meet(complement(X_18),X1)) = complement(join(complement(X_307),join(X_18,complement(X1)))) ),
inference(resolve,[$cnf( $equal(complement(join(X_18,complement(X1))),meet(complement(X_18),X1)) )],[refute_0_601,refute_0_1014]) ).
cnf(refute_0_1016,plain,
meet(X_307,meet(complement(X_18),X1)) = complement(join(complement(X_307),join(X_18,complement(X1)))),
inference(resolve,[$cnf( $equal(meet(X_307,complement(join(X_18,complement(X1)))),complement(join(complement(X_307),join(X_18,complement(X1))))) )],[refute_0_1013,refute_0_1015]) ).
cnf(refute_0_1017,plain,
complement(join(complement(X_307),X_18)) = meet(X_307,complement(X_18)),
inference(subst,[],[refute_0_523:[bind(X0,$fot(X_307))]]) ).
cnf(refute_0_1018,plain,
meet(complement(join(complement(X_307),X_18)),X1) = meet(complement(join(complement(X_307),X_18)),X1),
introduced(tautology,[refl,[$fot(meet(complement(join(complement(X_307),X_18)),X1))]]) ).
cnf(refute_0_1019,plain,
( complement(join(complement(X_307),X_18)) != meet(X_307,complement(X_18))
| meet(complement(join(complement(X_307),X_18)),X1) != meet(complement(join(complement(X_307),X_18)),X1)
| meet(complement(join(complement(X_307),X_18)),X1) = meet(meet(X_307,complement(X_18)),X1) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(join(complement(X_307),X_18)),X1),meet(complement(join(complement(X_307),X_18)),X1)) ),[1,0],$fot(meet(X_307,complement(X_18)))]]) ).
cnf(refute_0_1020,plain,
( complement(join(complement(X_307),X_18)) != meet(X_307,complement(X_18))
| meet(complement(join(complement(X_307),X_18)),X1) = meet(meet(X_307,complement(X_18)),X1) ),
inference(resolve,[$cnf( $equal(meet(complement(join(complement(X_307),X_18)),X1),meet(complement(join(complement(X_307),X_18)),X1)) )],[refute_0_1018,refute_0_1019]) ).
cnf(refute_0_1021,plain,
meet(complement(join(complement(X_307),X_18)),X1) = meet(meet(X_307,complement(X_18)),X1),
inference(resolve,[$cnf( $equal(complement(join(complement(X_307),X_18)),meet(X_307,complement(X_18))) )],[refute_0_1017,refute_0_1020]) ).
cnf(refute_0_1022,plain,
meet(complement(join(X0,X1)),X_296) = complement(join(join(X0,X1),complement(X_296))),
inference(subst,[],[refute_0_423:[bind(X1,$fot(X_296)),bind(X_18,$fot(join(X0,X1)))]]) ).
cnf(refute_0_1023,plain,
join(X0,join(X1,complement(X_296))) = join(join(X0,X1),complement(X_296)),
inference(subst,[],[refute_0_41:[bind(X2,$fot(complement(X_296)))]]) ).
cnf(refute_0_1024,plain,
( join(X0,join(X1,complement(X_296))) != join(join(X0,X1),complement(X_296))
| join(join(X0,X1),complement(X_296)) = join(X0,join(X1,complement(X_296))) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(X0,join(X1,complement(X_296))))),bind(Y,$fot(join(join(X0,X1),complement(X_296))))]]) ).
cnf(refute_0_1025,plain,
join(join(X0,X1),complement(X_296)) = join(X0,join(X1,complement(X_296))),
inference(resolve,[$cnf( $equal(join(X0,join(X1,complement(X_296))),join(join(X0,X1),complement(X_296))) )],[refute_0_1023,refute_0_1024]) ).
cnf(refute_0_1026,plain,
( join(join(X0,X1),complement(X_296)) != join(X0,join(X1,complement(X_296)))
| meet(complement(join(X0,X1)),X_296) != complement(join(join(X0,X1),complement(X_296)))
| meet(complement(join(X0,X1)),X_296) = complement(join(X0,join(X1,complement(X_296)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(join(X0,X1)),X_296),complement(join(join(X0,X1),complement(X_296)))) ),[1,0],$fot(join(X0,join(X1,complement(X_296))))]]) ).
cnf(refute_0_1027,plain,
( meet(complement(join(X0,X1)),X_296) != complement(join(join(X0,X1),complement(X_296)))
| meet(complement(join(X0,X1)),X_296) = complement(join(X0,join(X1,complement(X_296)))) ),
inference(resolve,[$cnf( $equal(join(join(X0,X1),complement(X_296)),join(X0,join(X1,complement(X_296)))) )],[refute_0_1025,refute_0_1026]) ).
cnf(refute_0_1028,plain,
meet(complement(join(X0,X1)),X_296) = complement(join(X0,join(X1,complement(X_296)))),
inference(resolve,[$cnf( $equal(meet(complement(join(X0,X1)),X_296),complement(join(join(X0,X1),complement(X_296)))) )],[refute_0_1022,refute_0_1027]) ).
cnf(refute_0_1029,plain,
( meet(complement(join(X0,X1)),X_296) != complement(join(X0,join(X1,complement(X_296))))
| complement(join(X0,join(X1,complement(X_296)))) = meet(complement(join(X0,X1)),X_296) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(meet(complement(join(X0,X1)),X_296))),bind(Y,$fot(complement(join(X0,join(X1,complement(X_296))))))]]) ).
cnf(refute_0_1030,plain,
complement(join(X0,join(X1,complement(X_296)))) = meet(complement(join(X0,X1)),X_296),
inference(resolve,[$cnf( $equal(meet(complement(join(X0,X1)),X_296),complement(join(X0,join(X1,complement(X_296))))) )],[refute_0_1028,refute_0_1029]) ).
cnf(refute_0_1031,plain,
complement(join(complement(X_307),join(X_18,complement(X1)))) = meet(complement(join(complement(X_307),X_18)),X1),
inference(subst,[],[refute_0_1030:[bind(X0,$fot(complement(X_307))),bind(X1,$fot(X_18)),bind(X_296,$fot(X1))]]) ).
cnf(refute_0_1032,plain,
( complement(join(complement(X_307),join(X_18,complement(X1)))) != meet(complement(join(complement(X_307),X_18)),X1)
| meet(complement(join(complement(X_307),X_18)),X1) != meet(meet(X_307,complement(X_18)),X1)
| complement(join(complement(X_307),join(X_18,complement(X1)))) = meet(meet(X_307,complement(X_18)),X1) ),
inference(subst,[],[refute_0_25:[bind(X,$fot(complement(join(complement(X_307),join(X_18,complement(X1)))))),bind(Y,$fot(meet(complement(join(complement(X_307),X_18)),X1))),bind(Z,$fot(meet(meet(X_307,complement(X_18)),X1)))]]) ).
cnf(refute_0_1033,plain,
( meet(complement(join(complement(X_307),X_18)),X1) != meet(meet(X_307,complement(X_18)),X1)
| complement(join(complement(X_307),join(X_18,complement(X1)))) = meet(meet(X_307,complement(X_18)),X1) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_307),join(X_18,complement(X1)))),meet(complement(join(complement(X_307),X_18)),X1)) )],[refute_0_1031,refute_0_1032]) ).
cnf(refute_0_1034,plain,
complement(join(complement(X_307),join(X_18,complement(X1)))) = meet(meet(X_307,complement(X_18)),X1),
inference(resolve,[$cnf( $equal(meet(complement(join(complement(X_307),X_18)),X1),meet(meet(X_307,complement(X_18)),X1)) )],[refute_0_1021,refute_0_1033]) ).
cnf(refute_0_1035,plain,
( complement(join(complement(X_307),join(X_18,complement(X1)))) != meet(meet(X_307,complement(X_18)),X1)
| meet(X_307,meet(complement(X_18),X1)) != complement(join(complement(X_307),join(X_18,complement(X1))))
| meet(X_307,meet(complement(X_18),X1)) = meet(meet(X_307,complement(X_18)),X1) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_307,meet(complement(X_18),X1)),complement(join(complement(X_307),join(X_18,complement(X1))))) ),[1],$fot(meet(meet(X_307,complement(X_18)),X1))]]) ).
cnf(refute_0_1036,plain,
( meet(X_307,meet(complement(X_18),X1)) != complement(join(complement(X_307),join(X_18,complement(X1))))
| meet(X_307,meet(complement(X_18),X1)) = meet(meet(X_307,complement(X_18)),X1) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_307),join(X_18,complement(X1)))),meet(meet(X_307,complement(X_18)),X1)) )],[refute_0_1034,refute_0_1035]) ).
cnf(refute_0_1037,plain,
meet(X_307,meet(complement(X_18),X1)) = meet(meet(X_307,complement(X_18)),X1),
inference(resolve,[$cnf( $equal(meet(X_307,meet(complement(X_18),X1)),complement(join(complement(X_307),join(X_18,complement(X1))))) )],[refute_0_1016,refute_0_1036]) ).
cnf(refute_0_1038,plain,
( meet(X_307,meet(complement(X_18),X1)) != meet(meet(X_307,complement(X_18)),X1)
| meet(meet(X_307,complement(X_18)),X1) = meet(X_307,meet(complement(X_18),X1)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(meet(X_307,meet(complement(X_18),X1)))),bind(Y,$fot(meet(meet(X_307,complement(X_18)),X1)))]]) ).
cnf(refute_0_1039,plain,
meet(meet(X_307,complement(X_18)),X1) = meet(X_307,meet(complement(X_18),X1)),
inference(resolve,[$cnf( $equal(meet(X_307,meet(complement(X_18),X1)),meet(meet(X_307,complement(X_18)),X1)) )],[refute_0_1037,refute_0_1038]) ).
cnf(refute_0_1040,plain,
meet(meet(X_384,complement(meet(X_384,complement(X_42)))),join(X_42,zero)) = meet(X_384,meet(complement(meet(X_384,complement(X_42))),join(X_42,zero))),
inference(subst,[],[refute_0_1039:[bind(X1,$fot(join(X_42,zero))),bind(X_18,$fot(meet(X_384,complement(X_42)))),bind(X_307,$fot(X_384))]]) ).
cnf(refute_0_1041,plain,
( meet(X_384,meet(complement(meet(X_384,complement(X_42))),join(X_42,zero))) != meet(X_384,X_42)
| meet(meet(X_384,complement(meet(X_384,complement(X_42)))),join(X_42,zero)) != meet(X_384,meet(complement(meet(X_384,complement(X_42))),join(X_42,zero)))
| meet(meet(X_384,complement(meet(X_384,complement(X_42)))),join(X_42,zero)) = meet(X_384,X_42) ),
inference(subst,[],[refute_0_25:[bind(X,$fot(meet(meet(X_384,complement(meet(X_384,complement(X_42)))),join(X_42,zero)))),bind(Y,$fot(meet(X_384,meet(complement(meet(X_384,complement(X_42))),join(X_42,zero))))),bind(Z,$fot(meet(X_384,X_42)))]]) ).
cnf(refute_0_1042,plain,
( meet(X_384,meet(complement(meet(X_384,complement(X_42))),join(X_42,zero))) != meet(X_384,X_42)
| meet(meet(X_384,complement(meet(X_384,complement(X_42)))),join(X_42,zero)) = meet(X_384,X_42) ),
inference(resolve,[$cnf( $equal(meet(meet(X_384,complement(meet(X_384,complement(X_42)))),join(X_42,zero)),meet(X_384,meet(complement(meet(X_384,complement(X_42))),join(X_42,zero)))) )],[refute_0_1040,refute_0_1041]) ).
cnf(refute_0_1043,plain,
meet(meet(X_384,complement(meet(X_384,complement(X_42)))),join(X_42,zero)) = meet(X_384,X_42),
inference(resolve,[$cnf( $equal(meet(X_384,meet(complement(meet(X_384,complement(X_42))),join(X_42,zero))),meet(X_384,X_42)) )],[refute_0_1012,refute_0_1042]) ).
cnf(refute_0_1044,plain,
( meet(X_384,join(complement(X_384),X_42)) != meet(meet(X_384,complement(meet(X_384,complement(X_42)))),join(X_42,zero))
| meet(meet(X_384,complement(meet(X_384,complement(X_42)))),join(X_42,zero)) != meet(X_384,X_42)
| meet(X_384,join(complement(X_384),X_42)) = meet(X_384,X_42) ),
introduced(tautology,[equality,[$cnf( ~ $equal(meet(X_384,join(complement(X_384),X_42)),meet(X_384,X_42)) ),[0],$fot(meet(meet(X_384,complement(meet(X_384,complement(X_42)))),join(X_42,zero)))]]) ).
cnf(refute_0_1045,plain,
( meet(X_384,join(complement(X_384),X_42)) != meet(meet(X_384,complement(meet(X_384,complement(X_42)))),join(X_42,zero))
| meet(X_384,join(complement(X_384),X_42)) = meet(X_384,X_42) ),
inference(resolve,[$cnf( $equal(meet(meet(X_384,complement(meet(X_384,complement(X_42)))),join(X_42,zero)),meet(X_384,X_42)) )],[refute_0_1043,refute_0_1044]) ).
cnf(refute_0_1046,plain,
( meet(X_384,complement(meet(X_384,complement(X_42)))) != meet(meet(X_384,complement(meet(X_384,complement(X_42)))),join(X_42,zero))
| meet(X_384,join(complement(X_384),X_42)) = meet(X_384,X_42) ),
inference(resolve,[$cnf( $equal(meet(X_384,join(complement(X_384),X_42)),meet(meet(X_384,complement(meet(X_384,complement(X_42)))),join(X_42,zero))) )],[refute_0_686,refute_0_1045]) ).
cnf(refute_0_1047,plain,
meet(X_384,join(complement(X_384),X_42)) = meet(X_384,X_42),
inference(resolve,[$cnf( $equal(meet(X_384,complement(meet(X_384,complement(X_42)))),meet(meet(X_384,complement(meet(X_384,complement(X_42)))),join(X_42,zero))) )],[refute_0_679,refute_0_1046]) ).
cnf(refute_0_1048,plain,
meet(X_103,join(complement(X_103),X_363)) = meet(X_103,X_363),
inference(subst,[],[refute_0_1047:[bind(X_384,$fot(X_103)),bind(X_42,$fot(X_363))]]) ).
cnf(refute_0_1049,plain,
join(X_363,meet(X_103,join(complement(X_103),X_363))) = join(X_363,meet(X_103,join(complement(X_103),X_363))),
introduced(tautology,[refl,[$fot(join(X_363,meet(X_103,join(complement(X_103),X_363))))]]) ).
cnf(refute_0_1050,plain,
( join(X_363,meet(X_103,join(complement(X_103),X_363))) != join(X_363,meet(X_103,join(complement(X_103),X_363)))
| meet(X_103,join(complement(X_103),X_363)) != meet(X_103,X_363)
| join(X_363,meet(X_103,join(complement(X_103),X_363))) = join(X_363,meet(X_103,X_363)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_363,meet(X_103,join(complement(X_103),X_363))),join(X_363,meet(X_103,join(complement(X_103),X_363)))) ),[1,1],$fot(meet(X_103,X_363))]]) ).
cnf(refute_0_1051,plain,
( meet(X_103,join(complement(X_103),X_363)) != meet(X_103,X_363)
| join(X_363,meet(X_103,join(complement(X_103),X_363))) = join(X_363,meet(X_103,X_363)) ),
inference(resolve,[$cnf( $equal(join(X_363,meet(X_103,join(complement(X_103),X_363))),join(X_363,meet(X_103,join(complement(X_103),X_363)))) )],[refute_0_1049,refute_0_1050]) ).
cnf(refute_0_1052,plain,
join(X_363,meet(X_103,join(complement(X_103),X_363))) = join(X_363,meet(X_103,X_363)),
inference(resolve,[$cnf( $equal(meet(X_103,join(complement(X_103),X_363)),meet(X_103,X_363)) )],[refute_0_1048,refute_0_1051]) ).
cnf(refute_0_1053,plain,
( join(X_363,meet(X_103,join(complement(X_103),X_363))) != X_363
| join(X_363,meet(X_103,join(complement(X_103),X_363))) != join(X_363,meet(X_103,X_363))
| join(X_363,meet(X_103,X_363)) = X_363 ),
introduced(tautology,[equality,[$cnf( $equal(join(X_363,meet(X_103,join(complement(X_103),X_363))),X_363) ),[0],$fot(join(X_363,meet(X_103,X_363)))]]) ).
cnf(refute_0_1054,plain,
( join(X_363,meet(X_103,join(complement(X_103),X_363))) != X_363
| join(X_363,meet(X_103,X_363)) = X_363 ),
inference(resolve,[$cnf( $equal(join(X_363,meet(X_103,join(complement(X_103),X_363))),join(X_363,meet(X_103,X_363))) )],[refute_0_1052,refute_0_1053]) ).
cnf(refute_0_1055,plain,
join(X_363,meet(X_103,X_363)) = X_363,
inference(resolve,[$cnf( $equal(join(X_363,meet(X_103,join(complement(X_103),X_363))),X_363) )],[refute_0_538,refute_0_1054]) ).
cnf(refute_0_1056,plain,
join(skolemFOFtoCNF_X2,meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2)) = skolemFOFtoCNF_X2,
inference(subst,[],[refute_0_1055:[bind(X_103,$fot(skolemFOFtoCNF_X1)),bind(X_363,$fot(skolemFOFtoCNF_X2))]]) ).
cnf(refute_0_1057,plain,
composition(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),join(skolemFOFtoCNF_X2,meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2))) = composition(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),join(skolemFOFtoCNF_X2,meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2))),
introduced(tautology,[refl,[$fot(composition(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),join(skolemFOFtoCNF_X2,meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2))))]]) ).
cnf(refute_0_1058,plain,
( composition(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),join(skolemFOFtoCNF_X2,meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2))) != composition(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),join(skolemFOFtoCNF_X2,meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2)))
| join(skolemFOFtoCNF_X2,meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2)) != skolemFOFtoCNF_X2
| composition(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),join(skolemFOFtoCNF_X2,meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2))) = composition(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X2) ),
introduced(tautology,[equality,[$cnf( $equal(composition(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),join(skolemFOFtoCNF_X2,meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2))),composition(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),join(skolemFOFtoCNF_X2,meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2)))) ),[1,1],$fot(skolemFOFtoCNF_X2)]]) ).
cnf(refute_0_1059,plain,
( join(skolemFOFtoCNF_X2,meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2)) != skolemFOFtoCNF_X2
| composition(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),join(skolemFOFtoCNF_X2,meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2))) = composition(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X2) ),
inference(resolve,[$cnf( $equal(composition(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),join(skolemFOFtoCNF_X2,meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2))),composition(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),join(skolemFOFtoCNF_X2,meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2)))) )],[refute_0_1057,refute_0_1058]) ).
cnf(refute_0_1060,plain,
composition(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),join(skolemFOFtoCNF_X2,meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2))) = composition(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X2),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X2,meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2)),skolemFOFtoCNF_X2) )],[refute_0_1056,refute_0_1059]) ).
cnf(refute_0_1061,plain,
converse(converse(join(composition(X_264,X_265),composition(X_264,converse(X_266))))) = join(composition(X_264,X_265),composition(X_264,converse(X_266))),
inference(subst,[],[refute_0_177:[bind(X0,$fot(join(composition(X_264,X_265),composition(X_264,converse(X_266)))))]]) ).
cnf(refute_0_1062,plain,
composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(canonicalize,[],[normalize_0_25]) ).
cnf(refute_0_1063,plain,
composition(join(converse(X1),X_76),converse(X0)) = join(composition(converse(X1),converse(X0)),composition(X_76,converse(X0))),
inference(subst,[],[refute_0_1062:[bind(X0,$fot(converse(X1))),bind(X1,$fot(X_76)),bind(X2,$fot(converse(X0)))]]) ).
cnf(refute_0_1064,plain,
( converse(composition(X0,X1)) != composition(converse(X1),converse(X0))
| composition(converse(X1),converse(X0)) = converse(composition(X0,X1)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(converse(composition(X0,X1)))),bind(Y,$fot(composition(converse(X1),converse(X0))))]]) ).
cnf(refute_0_1065,plain,
composition(converse(X1),converse(X0)) = converse(composition(X0,X1)),
inference(resolve,[$cnf( $equal(converse(composition(X0,X1)),composition(converse(X1),converse(X0))) )],[refute_0_175,refute_0_1064]) ).
cnf(refute_0_1066,plain,
( composition(converse(X1),converse(X0)) != converse(composition(X0,X1))
| composition(join(converse(X1),X_76),converse(X0)) != join(composition(converse(X1),converse(X0)),composition(X_76,converse(X0)))
| composition(join(converse(X1),X_76),converse(X0)) = join(converse(composition(X0,X1)),composition(X_76,converse(X0))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(converse(X1),X_76),converse(X0)),join(composition(converse(X1),converse(X0)),composition(X_76,converse(X0)))) ),[1,0],$fot(converse(composition(X0,X1)))]]) ).
cnf(refute_0_1067,plain,
( composition(join(converse(X1),X_76),converse(X0)) != join(composition(converse(X1),converse(X0)),composition(X_76,converse(X0)))
| composition(join(converse(X1),X_76),converse(X0)) = join(converse(composition(X0,X1)),composition(X_76,converse(X0))) ),
inference(resolve,[$cnf( $equal(composition(converse(X1),converse(X0)),converse(composition(X0,X1))) )],[refute_0_1065,refute_0_1066]) ).
cnf(refute_0_1068,plain,
composition(join(converse(X1),X_76),converse(X0)) = join(converse(composition(X0,X1)),composition(X_76,converse(X0))),
inference(resolve,[$cnf( $equal(composition(join(converse(X1),X_76),converse(X0)),join(composition(converse(X1),converse(X0)),composition(X_76,converse(X0)))) )],[refute_0_1063,refute_0_1067]) ).
cnf(refute_0_1069,plain,
converse(composition(X0,join(X_27,converse(X_26)))) = composition(converse(join(X_27,converse(X_26))),converse(X0)),
inference(subst,[],[refute_0_175:[bind(X1,$fot(join(X_27,converse(X_26))))]]) ).
cnf(refute_0_1070,plain,
converse(join(X_19,converse(X0))) = join(converse(X_19),converse(converse(X0))),
inference(subst,[],[refute_0_712:[bind(X0,$fot(X_19)),bind(X1,$fot(converse(X0)))]]) ).
cnf(refute_0_1071,plain,
( converse(converse(X0)) != X0
| converse(join(X_19,converse(X0))) != join(converse(X_19),converse(converse(X0)))
| converse(join(X_19,converse(X0))) = join(converse(X_19),X0) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X_19,converse(X0))),join(converse(X_19),converse(converse(X0)))) ),[1,1],$fot(X0)]]) ).
cnf(refute_0_1072,plain,
( converse(join(X_19,converse(X0))) != join(converse(X_19),converse(converse(X0)))
| converse(join(X_19,converse(X0))) = join(converse(X_19),X0) ),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_0_177,refute_0_1071]) ).
cnf(refute_0_1073,plain,
converse(join(X_19,converse(X0))) = join(converse(X_19),X0),
inference(resolve,[$cnf( $equal(converse(join(X_19,converse(X0))),join(converse(X_19),converse(converse(X0)))) )],[refute_0_1070,refute_0_1072]) ).
cnf(refute_0_1074,plain,
converse(join(X_27,converse(X_26))) = join(converse(X_27),X_26),
inference(subst,[],[refute_0_1073:[bind(X0,$fot(X_26)),bind(X_19,$fot(X_27))]]) ).
cnf(refute_0_1075,plain,
( converse(composition(X0,join(X_27,converse(X_26)))) != composition(converse(join(X_27,converse(X_26))),converse(X0))
| converse(join(X_27,converse(X_26))) != join(converse(X_27),X_26)
| converse(composition(X0,join(X_27,converse(X_26)))) = composition(join(converse(X_27),X_26),converse(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(X0,join(X_27,converse(X_26)))),composition(converse(join(X_27,converse(X_26))),converse(X0))) ),[1,0],$fot(join(converse(X_27),X_26))]]) ).
cnf(refute_0_1076,plain,
( converse(composition(X0,join(X_27,converse(X_26)))) != composition(converse(join(X_27,converse(X_26))),converse(X0))
| converse(composition(X0,join(X_27,converse(X_26)))) = composition(join(converse(X_27),X_26),converse(X0)) ),
inference(resolve,[$cnf( $equal(converse(join(X_27,converse(X_26))),join(converse(X_27),X_26)) )],[refute_0_1074,refute_0_1075]) ).
cnf(refute_0_1077,plain,
converse(composition(X0,join(X_27,converse(X_26)))) = composition(join(converse(X_27),X_26),converse(X0)),
inference(resolve,[$cnf( $equal(converse(composition(X0,join(X_27,converse(X_26)))),composition(converse(join(X_27,converse(X_26))),converse(X0))) )],[refute_0_1069,refute_0_1076]) ).
cnf(refute_0_1078,plain,
( converse(composition(X0,join(X_27,converse(X_26)))) != composition(join(converse(X_27),X_26),converse(X0))
| composition(join(converse(X_27),X_26),converse(X0)) = converse(composition(X0,join(X_27,converse(X_26)))) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(converse(composition(X0,join(X_27,converse(X_26)))))),bind(Y,$fot(composition(join(converse(X_27),X_26),converse(X0))))]]) ).
cnf(refute_0_1079,plain,
composition(join(converse(X_27),X_26),converse(X0)) = converse(composition(X0,join(X_27,converse(X_26)))),
inference(resolve,[$cnf( $equal(converse(composition(X0,join(X_27,converse(X_26)))),composition(join(converse(X_27),X_26),converse(X0))) )],[refute_0_1077,refute_0_1078]) ).
cnf(refute_0_1080,plain,
composition(join(converse(X1),X_76),converse(X0)) = converse(composition(X0,join(X1,converse(X_76)))),
inference(subst,[],[refute_0_1079:[bind(X_26,$fot(X_76)),bind(X_27,$fot(X1))]]) ).
cnf(refute_0_1081,plain,
( composition(join(converse(X1),X_76),converse(X0)) != converse(composition(X0,join(X1,converse(X_76))))
| composition(join(converse(X1),X_76),converse(X0)) != join(converse(composition(X0,X1)),composition(X_76,converse(X0)))
| converse(composition(X0,join(X1,converse(X_76)))) = join(converse(composition(X0,X1)),composition(X_76,converse(X0))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(converse(X1),X_76),converse(X0)),join(converse(composition(X0,X1)),composition(X_76,converse(X0)))) ),[0],$fot(converse(composition(X0,join(X1,converse(X_76)))))]]) ).
cnf(refute_0_1082,plain,
( composition(join(converse(X1),X_76),converse(X0)) != join(converse(composition(X0,X1)),composition(X_76,converse(X0)))
| converse(composition(X0,join(X1,converse(X_76)))) = join(converse(composition(X0,X1)),composition(X_76,converse(X0))) ),
inference(resolve,[$cnf( $equal(composition(join(converse(X1),X_76),converse(X0)),converse(composition(X0,join(X1,converse(X_76))))) )],[refute_0_1080,refute_0_1081]) ).
cnf(refute_0_1083,plain,
converse(join(X_19,composition(X_4,converse(X0)))) = join(converse(X_19),converse(composition(X_4,converse(X0)))),
inference(subst,[],[refute_0_712:[bind(X0,$fot(X_19)),bind(X1,$fot(composition(X_4,converse(X0))))]]) ).
cnf(refute_0_1084,plain,
converse(composition(X_4,converse(X0))) = composition(converse(converse(X0)),converse(X_4)),
inference(subst,[],[refute_0_175:[bind(X0,$fot(X_4)),bind(X1,$fot(converse(X0)))]]) ).
cnf(refute_0_1085,plain,
( converse(composition(X_4,converse(X0))) != composition(converse(converse(X0)),converse(X_4))
| converse(converse(X0)) != X0
| converse(composition(X_4,converse(X0))) = composition(X0,converse(X_4)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(X_4,converse(X0))),composition(converse(converse(X0)),converse(X_4))) ),[1,0],$fot(X0)]]) ).
cnf(refute_0_1086,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( $equal(converse(converse(X0)),X0) )],[refute_0_177,refute_0_1085]) ).
cnf(refute_0_1087,plain,
converse(composition(X_4,converse(X0))) = composition(X0,converse(X_4)),
inference(resolve,[$cnf( $equal(converse(composition(X_4,converse(X0))),composition(converse(converse(X0)),converse(X_4))) )],[refute_0_1084,refute_0_1086]) ).
cnf(refute_0_1088,plain,
( converse(composition(X_4,converse(X0))) != composition(X0,converse(X_4))
| converse(join(X_19,composition(X_4,converse(X0)))) != join(converse(X_19),converse(composition(X_4,converse(X0))))
| converse(join(X_19,composition(X_4,converse(X0)))) = join(converse(X_19),composition(X0,converse(X_4))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X_19,composition(X_4,converse(X0)))),join(converse(X_19),converse(composition(X_4,converse(X0))))) ),[1,1],$fot(composition(X0,converse(X_4)))]]) ).
cnf(refute_0_1089,plain,
( converse(join(X_19,composition(X_4,converse(X0)))) != join(converse(X_19),converse(composition(X_4,converse(X0))))
| converse(join(X_19,composition(X_4,converse(X0)))) = join(converse(X_19),composition(X0,converse(X_4))) ),
inference(resolve,[$cnf( $equal(converse(composition(X_4,converse(X0))),composition(X0,converse(X_4))) )],[refute_0_1087,refute_0_1088]) ).
cnf(refute_0_1090,plain,
converse(join(X_19,composition(X_4,converse(X0)))) = join(converse(X_19),composition(X0,converse(X_4))),
inference(resolve,[$cnf( $equal(converse(join(X_19,composition(X_4,converse(X0)))),join(converse(X_19),converse(composition(X_4,converse(X0))))) )],[refute_0_1083,refute_0_1089]) ).
cnf(refute_0_1091,plain,
( converse(join(X_19,composition(X_4,converse(X0)))) != join(converse(X_19),composition(X0,converse(X_4)))
| join(converse(X_19),composition(X0,converse(X_4))) = converse(join(X_19,composition(X_4,converse(X0)))) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(converse(join(X_19,composition(X_4,converse(X0)))))),bind(Y,$fot(join(converse(X_19),composition(X0,converse(X_4)))))]]) ).
cnf(refute_0_1092,plain,
join(converse(X_19),composition(X0,converse(X_4))) = converse(join(X_19,composition(X_4,converse(X0)))),
inference(resolve,[$cnf( $equal(converse(join(X_19,composition(X_4,converse(X0)))),join(converse(X_19),composition(X0,converse(X_4)))) )],[refute_0_1090,refute_0_1091]) ).
cnf(refute_0_1093,plain,
join(converse(composition(X0,X1)),composition(X_76,converse(X0))) = converse(join(composition(X0,X1),composition(X0,converse(X_76)))),
inference(subst,[],[refute_0_1092:[bind(X0,$fot(X_76)),bind(X_19,$fot(composition(X0,X1))),bind(X_4,$fot(X0))]]) ).
cnf(refute_0_1094,plain,
( converse(composition(X0,join(X1,converse(X_76)))) != join(converse(composition(X0,X1)),composition(X_76,converse(X0)))
| join(converse(composition(X0,X1)),composition(X_76,converse(X0))) != converse(join(composition(X0,X1),composition(X0,converse(X_76))))
| converse(composition(X0,join(X1,converse(X_76)))) = converse(join(composition(X0,X1),composition(X0,converse(X_76)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(composition(X0,join(X1,converse(X_76)))),converse(join(composition(X0,X1),composition(X0,converse(X_76))))) ),[0],$fot(join(converse(composition(X0,X1)),composition(X_76,converse(X0))))]]) ).
cnf(refute_0_1095,plain,
( converse(composition(X0,join(X1,converse(X_76)))) != join(converse(composition(X0,X1)),composition(X_76,converse(X0)))
| converse(composition(X0,join(X1,converse(X_76)))) = converse(join(composition(X0,X1),composition(X0,converse(X_76)))) ),
inference(resolve,[$cnf( $equal(join(converse(composition(X0,X1)),composition(X_76,converse(X0))),converse(join(composition(X0,X1),composition(X0,converse(X_76))))) )],[refute_0_1093,refute_0_1094]) ).
cnf(refute_0_1096,plain,
( composition(join(converse(X1),X_76),converse(X0)) != join(converse(composition(X0,X1)),composition(X_76,converse(X0)))
| converse(composition(X0,join(X1,converse(X_76)))) = converse(join(composition(X0,X1),composition(X0,converse(X_76)))) ),
inference(resolve,[$cnf( $equal(converse(composition(X0,join(X1,converse(X_76)))),join(converse(composition(X0,X1)),composition(X_76,converse(X0)))) )],[refute_0_1082,refute_0_1095]) ).
cnf(refute_0_1097,plain,
converse(composition(X0,join(X1,converse(X_76)))) = converse(join(composition(X0,X1),composition(X0,converse(X_76)))),
inference(resolve,[$cnf( $equal(composition(join(converse(X1),X_76),converse(X0)),join(converse(composition(X0,X1)),composition(X_76,converse(X0)))) )],[refute_0_1068,refute_0_1096]) ).
cnf(refute_0_1098,plain,
converse(composition(X_264,join(X_265,converse(X_266)))) = converse(join(composition(X_264,X_265),composition(X_264,converse(X_266)))),
inference(subst,[],[refute_0_1097:[bind(X0,$fot(X_264)),bind(X1,$fot(X_265)),bind(X_76,$fot(X_266))]]) ).
cnf(refute_0_1099,plain,
( converse(composition(X_264,join(X_265,converse(X_266)))) != converse(join(composition(X_264,X_265),composition(X_264,converse(X_266))))
| converse(join(composition(X_264,X_265),composition(X_264,converse(X_266)))) = converse(composition(X_264,join(X_265,converse(X_266)))) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(converse(composition(X_264,join(X_265,converse(X_266)))))),bind(Y,$fot(converse(join(composition(X_264,X_265),composition(X_264,converse(X_266))))))]]) ).
cnf(refute_0_1100,plain,
converse(join(composition(X_264,X_265),composition(X_264,converse(X_266)))) = converse(composition(X_264,join(X_265,converse(X_266)))),
inference(resolve,[$cnf( $equal(converse(composition(X_264,join(X_265,converse(X_266)))),converse(join(composition(X_264,X_265),composition(X_264,converse(X_266))))) )],[refute_0_1098,refute_0_1099]) ).
cnf(refute_0_1101,plain,
( converse(converse(join(composition(X_264,X_265),composition(X_264,converse(X_266))))) != join(composition(X_264,X_265),composition(X_264,converse(X_266)))
| converse(join(composition(X_264,X_265),composition(X_264,converse(X_266)))) != converse(composition(X_264,join(X_265,converse(X_266))))
| converse(converse(composition(X_264,join(X_265,converse(X_266))))) = join(composition(X_264,X_265),composition(X_264,converse(X_266))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(join(composition(X_264,X_265),composition(X_264,converse(X_266))))),join(composition(X_264,X_265),composition(X_264,converse(X_266)))) ),[0,0],$fot(converse(composition(X_264,join(X_265,converse(X_266)))))]]) ).
cnf(refute_0_1102,plain,
( converse(converse(join(composition(X_264,X_265),composition(X_264,converse(X_266))))) != join(composition(X_264,X_265),composition(X_264,converse(X_266)))
| converse(converse(composition(X_264,join(X_265,converse(X_266))))) = join(composition(X_264,X_265),composition(X_264,converse(X_266))) ),
inference(resolve,[$cnf( $equal(converse(join(composition(X_264,X_265),composition(X_264,converse(X_266)))),converse(composition(X_264,join(X_265,converse(X_266))))) )],[refute_0_1100,refute_0_1101]) ).
cnf(refute_0_1103,plain,
converse(converse(composition(X_264,join(X_265,converse(X_266))))) = join(composition(X_264,X_265),composition(X_264,converse(X_266))),
inference(resolve,[$cnf( $equal(converse(converse(join(composition(X_264,X_265),composition(X_264,converse(X_266))))),join(composition(X_264,X_265),composition(X_264,converse(X_266)))) )],[refute_0_1061,refute_0_1102]) ).
cnf(refute_0_1104,plain,
converse(converse(composition(X_264,join(X_265,converse(X_266))))) = composition(X_264,join(X_265,converse(X_266))),
inference(subst,[],[refute_0_177:[bind(X0,$fot(composition(X_264,join(X_265,converse(X_266)))))]]) ).
cnf(refute_0_1105,plain,
( converse(converse(composition(X_264,join(X_265,converse(X_266))))) != composition(X_264,join(X_265,converse(X_266)))
| converse(converse(composition(X_264,join(X_265,converse(X_266))))) != join(composition(X_264,X_265),composition(X_264,converse(X_266)))
| composition(X_264,join(X_265,converse(X_266))) = join(composition(X_264,X_265),composition(X_264,converse(X_266))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(composition(X_264,join(X_265,converse(X_266))))),join(composition(X_264,X_265),composition(X_264,converse(X_266)))) ),[0],$fot(composition(X_264,join(X_265,converse(X_266))))]]) ).
cnf(refute_0_1106,plain,
( converse(converse(composition(X_264,join(X_265,converse(X_266))))) != join(composition(X_264,X_265),composition(X_264,converse(X_266)))
| composition(X_264,join(X_265,converse(X_266))) = join(composition(X_264,X_265),composition(X_264,converse(X_266))) ),
inference(resolve,[$cnf( $equal(converse(converse(composition(X_264,join(X_265,converse(X_266))))),composition(X_264,join(X_265,converse(X_266)))) )],[refute_0_1104,refute_0_1105]) ).
cnf(refute_0_1107,plain,
composition(X_264,join(X_265,converse(X_266))) = join(composition(X_264,X_265),composition(X_264,converse(X_266))),
inference(resolve,[$cnf( $equal(converse(converse(composition(X_264,join(X_265,converse(X_266))))),join(composition(X_264,X_265),composition(X_264,converse(X_266)))) )],[refute_0_1103,refute_0_1106]) ).
cnf(refute_0_1108,plain,
composition(X_2048,join(X_2049,converse(converse(X0)))) = join(composition(X_2048,X_2049),composition(X_2048,converse(converse(X0)))),
inference(subst,[],[refute_0_1107:[bind(X_264,$fot(X_2048)),bind(X_265,$fot(X_2049)),bind(X_266,$fot(converse(X0)))]]) ).
cnf(refute_0_1109,plain,
( composition(X_2048,join(X_2049,converse(converse(X0)))) != join(composition(X_2048,X_2049),composition(X_2048,converse(converse(X0))))
| converse(converse(X0)) != X0
| composition(X_2048,join(X_2049,converse(converse(X0)))) = join(composition(X_2048,X_2049),composition(X_2048,X0)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(X_2048,join(X_2049,converse(converse(X0)))),join(composition(X_2048,X_2049),composition(X_2048,converse(converse(X0))))) ),[1,1,1],$fot(X0)]]) ).
cnf(refute_0_1110,plain,
( composition(X_2048,join(X_2049,converse(converse(X0)))) != join(composition(X_2048,X_2049),composition(X_2048,converse(converse(X0))))
| composition(X_2048,join(X_2049,converse(converse(X0)))) = join(composition(X_2048,X_2049),composition(X_2048,X0)) ),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_0_177,refute_0_1109]) ).
cnf(refute_0_1111,plain,
composition(X_2048,join(X_2049,converse(converse(X0)))) = join(composition(X_2048,X_2049),composition(X_2048,X0)),
inference(resolve,[$cnf( $equal(composition(X_2048,join(X_2049,converse(converse(X0)))),join(composition(X_2048,X_2049),composition(X_2048,converse(converse(X0))))) )],[refute_0_1108,refute_0_1110]) ).
cnf(refute_0_1112,plain,
join(X_2049,converse(converse(X0))) = join(X_2049,converse(converse(X0))),
introduced(tautology,[refl,[$fot(join(X_2049,converse(converse(X0))))]]) ).
cnf(refute_0_1113,plain,
( converse(converse(X0)) != X0
| join(X_2049,converse(converse(X0))) != join(X_2049,converse(converse(X0)))
| join(X_2049,converse(converse(X0))) = join(X_2049,X0) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_2049,converse(converse(X0))),join(X_2049,converse(converse(X0)))) ),[1,1],$fot(X0)]]) ).
cnf(refute_0_1114,plain,
( converse(converse(X0)) != X0
| join(X_2049,converse(converse(X0))) = join(X_2049,X0) ),
inference(resolve,[$cnf( $equal(join(X_2049,converse(converse(X0))),join(X_2049,converse(converse(X0)))) )],[refute_0_1112,refute_0_1113]) ).
cnf(refute_0_1115,plain,
join(X_2049,converse(converse(X0))) = join(X_2049,X0),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_0_177,refute_0_1114]) ).
cnf(refute_0_1116,plain,
composition(X_2048,join(X_2049,converse(converse(X0)))) = composition(X_2048,join(X_2049,converse(converse(X0)))),
introduced(tautology,[refl,[$fot(composition(X_2048,join(X_2049,converse(converse(X0)))))]]) ).
cnf(refute_0_1117,plain,
( composition(X_2048,join(X_2049,converse(converse(X0)))) != composition(X_2048,join(X_2049,converse(converse(X0))))
| join(X_2049,converse(converse(X0))) != join(X_2049,X0)
| composition(X_2048,join(X_2049,converse(converse(X0)))) = composition(X_2048,join(X_2049,X0)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(X_2048,join(X_2049,converse(converse(X0)))),composition(X_2048,join(X_2049,converse(converse(X0))))) ),[1,1],$fot(join(X_2049,X0))]]) ).
cnf(refute_0_1118,plain,
( join(X_2049,converse(converse(X0))) != join(X_2049,X0)
| composition(X_2048,join(X_2049,converse(converse(X0)))) = composition(X_2048,join(X_2049,X0)) ),
inference(resolve,[$cnf( $equal(composition(X_2048,join(X_2049,converse(converse(X0)))),composition(X_2048,join(X_2049,converse(converse(X0))))) )],[refute_0_1116,refute_0_1117]) ).
cnf(refute_0_1119,plain,
composition(X_2048,join(X_2049,converse(converse(X0)))) = composition(X_2048,join(X_2049,X0)),
inference(resolve,[$cnf( $equal(join(X_2049,converse(converse(X0))),join(X_2049,X0)) )],[refute_0_1115,refute_0_1118]) ).
cnf(refute_0_1120,plain,
( composition(X_2048,join(X_2049,converse(converse(X0)))) != composition(X_2048,join(X_2049,X0))
| composition(X_2048,join(X_2049,converse(converse(X0)))) != join(composition(X_2048,X_2049),composition(X_2048,X0))
| composition(X_2048,join(X_2049,X0)) = join(composition(X_2048,X_2049),composition(X_2048,X0)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(X_2048,join(X_2049,converse(converse(X0)))),join(composition(X_2048,X_2049),composition(X_2048,X0))) ),[0],$fot(composition(X_2048,join(X_2049,X0)))]]) ).
cnf(refute_0_1121,plain,
( composition(X_2048,join(X_2049,converse(converse(X0)))) != join(composition(X_2048,X_2049),composition(X_2048,X0))
| composition(X_2048,join(X_2049,X0)) = join(composition(X_2048,X_2049),composition(X_2048,X0)) ),
inference(resolve,[$cnf( $equal(composition(X_2048,join(X_2049,converse(converse(X0)))),composition(X_2048,join(X_2049,X0))) )],[refute_0_1119,refute_0_1120]) ).
cnf(refute_0_1122,plain,
composition(X_2048,join(X_2049,X0)) = join(composition(X_2048,X_2049),composition(X_2048,X0)),
inference(resolve,[$cnf( $equal(composition(X_2048,join(X_2049,converse(converse(X0)))),join(composition(X_2048,X_2049),composition(X_2048,X0))) )],[refute_0_1111,refute_0_1121]) ).
cnf(refute_0_1123,plain,
( composition(X_2048,join(X_2049,X0)) != join(composition(X_2048,X_2049),composition(X_2048,X0))
| join(composition(X_2048,X_2049),composition(X_2048,X0)) = composition(X_2048,join(X_2049,X0)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(composition(X_2048,join(X_2049,X0)))),bind(Y,$fot(join(composition(X_2048,X_2049),composition(X_2048,X0))))]]) ).
cnf(refute_0_1124,plain,
join(composition(X_2048,X_2049),composition(X_2048,X0)) = composition(X_2048,join(X_2049,X0)),
inference(resolve,[$cnf( $equal(composition(X_2048,join(X_2049,X0)),join(composition(X_2048,X_2049),composition(X_2048,X0))) )],[refute_0_1122,refute_0_1123]) ).
cnf(refute_0_1125,plain,
join(composition(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X2),composition(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2))) = composition(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),join(skolemFOFtoCNF_X2,meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2))),
inference(subst,[],[refute_0_1124:[bind(X0,$fot(meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2))),bind(X_2048,$fot(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)))),bind(X_2049,$fot(skolemFOFtoCNF_X2))]]) ).
cnf(refute_0_1126,plain,
( composition(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),join(skolemFOFtoCNF_X2,meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2))) != composition(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X2)
| join(composition(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X2),composition(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2))) != composition(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),join(skolemFOFtoCNF_X2,meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2)))
| join(composition(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X2),composition(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2))) = composition(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X2) ),
inference(subst,[],[refute_0_25:[bind(X,$fot(join(composition(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X2),composition(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2))))),bind(Y,$fot(composition(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),join(skolemFOFtoCNF_X2,meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2))))),bind(Z,$fot(composition(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X2)))]]) ).
cnf(refute_0_1127,plain,
( composition(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),join(skolemFOFtoCNF_X2,meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2))) != composition(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X2)
| join(composition(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X2),composition(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2))) = composition(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X2) ),
inference(resolve,[$cnf( $equal(join(composition(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X2),composition(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2))),composition(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),join(skolemFOFtoCNF_X2,meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2)))) )],[refute_0_1125,refute_0_1126]) ).
cnf(refute_0_1128,plain,
join(composition(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X2),composition(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2))) = composition(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X2),
inference(resolve,[$cnf( $equal(composition(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),join(skolemFOFtoCNF_X2,meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2))),composition(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X2)) )],[refute_0_1060,refute_0_1127]) ).
cnf(refute_0_1129,plain,
( composition(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X2) != composition(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X2)
| join(composition(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X2),composition(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2))) != composition(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X2)
| join(composition(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X2),composition(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2))) = composition(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X2),composition(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2))),composition(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X2)) ),[0,0],$fot(composition(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X2))]]) ).
cnf(refute_0_1130,plain,
( composition(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X2) != composition(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X2)
| join(composition(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X2),composition(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2))) = composition(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X2) ),
inference(resolve,[$cnf( $equal(join(composition(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X2),composition(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2))),composition(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X2)) )],[refute_0_1128,refute_0_1129]) ).
cnf(refute_0_1131,plain,
composition(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X2) != composition(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X2),
inference(resolve,[$cnf( $equal(join(composition(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X2),composition(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2))),composition(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X2)) )],[refute_0_1130,refute_0_10]) ).
cnf(refute_0_1132,plain,
composition(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X2) = composition(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X2),
introduced(tautology,[refl,[$fot(composition(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X2))]]) ).
cnf(refute_0_1133,plain,
$false,
inference(resolve,[$cnf( $equal(composition(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X2),composition(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X2)) )],[refute_0_1132,refute_0_1131]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : REL024+2 : TPTP v8.1.0. Released v4.0.0.
% 0.08/0.14 % Command : metis --show proof --show saturation %s
% 0.14/0.36 % Computer : n003.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Fri Jul 8 14:29:28 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.14/0.37 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 293.45/293.68 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 293.45/293.68
% 293.45/293.68 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 293.58/293.78
%------------------------------------------------------------------------------