TSTP Solution File: REL023+2 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : REL023+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n027.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 19:43:56 EDT 2022
% Result : Theorem 2.75s 2.93s
% Output : CNFRefutation 2.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 97
% Number of leaves : 253
% Syntax : Number of formulae : 1079 ( 569 unt; 0 def)
% Number of atoms : 1812 (1811 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 1472 ( 739 ~; 733 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 8 ( 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 : 1257 ( 17 sgn 69 !; 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_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(X0,meet(X1,X2))) = composition(X0,meet(X1,X2)) ).
fof(subgoal_0,plain,
! [X0,X1,X2] : join(composition(meet(X0,converse(X1)),meet(X1,X2)),composition(X0,meet(X1,X2))) = composition(X0,meet(X1,X2)),
inference(strip,[],[goals]) ).
fof(negate_0_0,plain,
~ ! [X0,X1,X2] : join(composition(meet(X0,converse(X1)),meet(X1,X2)),composition(X0,meet(X1,X2))) = composition(X0,meet(X1,X2)),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [X0,X1,X2] : join(composition(meet(X0,converse(X1)),meet(X1,X2)),composition(X0,meet(X1,X2))) != composition(X0,meet(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(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2))) != composition(skolemFOFtoCNF_X0,meet(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,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(canonicalize,[],[composition_distributivity]) ).
fof(normalize_0_5,plain,
! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(specialize,[],[normalize_0_4]) ).
fof(normalize_0_6,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_7,plain,
! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
inference(specialize,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
inference(canonicalize,[],[maddux4_definiton_of_meet]) ).
fof(normalize_0_9,plain,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
inference(specialize,[],[normalize_0_8]) ).
fof(normalize_0_10,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(canonicalize,[],[def_zero]) ).
fof(normalize_0_11,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(specialize,[],[normalize_0_10]) ).
fof(normalize_0_12,plain,
! [X0] : top = join(X0,complement(X0)),
inference(canonicalize,[],[def_top]) ).
fof(normalize_0_13,plain,
! [X0] : top = join(X0,complement(X0)),
inference(specialize,[],[normalize_0_12]) ).
fof(normalize_0_14,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(canonicalize,[],[maddux2_join_associativity]) ).
fof(normalize_0_15,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(specialize,[],[normalize_0_14]) ).
fof(normalize_0_16,plain,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
inference(canonicalize,[],[converse_cancellativity]) ).
fof(normalize_0_17,plain,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
inference(specialize,[],[normalize_0_16]) ).
fof(normalize_0_18,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(canonicalize,[],[converse_multiplicativity]) ).
fof(normalize_0_19,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(specialize,[],[normalize_0_18]) ).
fof(normalize_0_20,plain,
! [X0] : converse(converse(X0)) = X0,
inference(canonicalize,[],[converse_idempotence]) ).
fof(normalize_0_21,plain,
! [X0] : converse(converse(X0)) = X0,
inference(specialize,[],[normalize_0_20]) ).
fof(normalize_0_22,plain,
! [X0] : composition(X0,one) = X0,
inference(canonicalize,[],[composition_identity]) ).
fof(normalize_0_23,plain,
! [X0] : composition(X0,one) = X0,
inference(specialize,[],[normalize_0_22]) ).
cnf(refute_0_0,plain,
join(composition(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2)),composition(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2))) != composition(skolemFOFtoCNF_X0,meet(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( $equal(join(X0,X1),join(X1,X0)) )],[refute_0_1,refute_0_5]) ).
cnf(refute_0_7,plain,
join(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X0) = join(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1))),
inference(subst,[],[refute_0_6:[bind(X0,$fot(skolemFOFtoCNF_X0)),bind(X1,$fot(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1))))]]) ).
cnf(refute_0_8,plain,
composition(join(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2)) = composition(join(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2)),
introduced(tautology,[refl,[$fot(composition(join(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2)))]]) ).
cnf(refute_0_9,plain,
( composition(join(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2)) != composition(join(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2))
| join(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X0) != join(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)))
| composition(join(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2)) = composition(join(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1))),meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2)),composition(join(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2))) ),[1,0],$fot(join(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1))))]]) ).
cnf(refute_0_10,plain,
( join(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X0) != join(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)))
| composition(join(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2)) = composition(join(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1))),meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2)) ),
inference(resolve,[$cnf( $equal(composition(join(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2)),composition(join(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2))) )],[refute_0_8,refute_0_9]) ).
cnf(refute_0_11,plain,
composition(join(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2)) = composition(join(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1))),meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2)),
inference(resolve,[$cnf( $equal(join(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X0),join(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)))) )],[refute_0_7,refute_0_10]) ).
cnf(refute_0_12,plain,
composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(canonicalize,[],[normalize_0_5]) ).
cnf(refute_0_13,plain,
( composition(join(X0,X1),X2) != join(composition(X0,X2),composition(X1,X2))
| join(composition(X0,X2),composition(X1,X2)) = composition(join(X0,X1),X2) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(composition(join(X0,X1),X2))),bind(Y,$fot(join(composition(X0,X2),composition(X1,X2))))]]) ).
cnf(refute_0_14,plain,
join(composition(X0,X2),composition(X1,X2)) = composition(join(X0,X1),X2),
inference(resolve,[$cnf( $equal(composition(join(X0,X1),X2),join(composition(X0,X2),composition(X1,X2))) )],[refute_0_12,refute_0_13]) ).
cnf(refute_0_15,plain,
join(composition(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2)),composition(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2))) = composition(join(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2)),
inference(subst,[],[refute_0_14:[bind(X0,$fot(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)))),bind(X1,$fot(skolemFOFtoCNF_X0)),bind(X2,$fot(meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2)))]]) ).
cnf(refute_0_16,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_17,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_4,refute_0_16]) ).
cnf(refute_0_18,plain,
( composition(join(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2)) != composition(join(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1))),meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2))
| join(composition(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2)),composition(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2))) != composition(join(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2))
| join(composition(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2)),composition(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2))) = composition(join(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1))),meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2)) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(composition(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2)),composition(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2))))),bind(Y,$fot(composition(join(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2)))),bind(Z,$fot(composition(join(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1))),meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2))))]]) ).
cnf(refute_0_19,plain,
( composition(join(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2)) != composition(join(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1))),meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2))
| join(composition(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2)),composition(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2))) = composition(join(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1))),meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2)) ),
inference(resolve,[$cnf( $equal(join(composition(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2)),composition(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2))),composition(join(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2))) )],[refute_0_15,refute_0_18]) ).
cnf(refute_0_20,plain,
join(composition(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2)),composition(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2))) = composition(join(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1))),meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2)),
inference(resolve,[$cnf( $equal(composition(join(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),skolemFOFtoCNF_X0),meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2)),composition(join(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1))),meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2))) )],[refute_0_11,refute_0_19]) ).
cnf(refute_0_21,plain,
( composition(join(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1))),meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2)) != composition(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2))
| join(composition(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2)),composition(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2))) != composition(join(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1))),meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2))
| join(composition(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2)),composition(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2))) = composition(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2)) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2)),composition(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2))),composition(join(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1))),meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2))) ),[1],$fot(composition(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2)))]]) ).
cnf(refute_0_22,plain,
( composition(join(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1))),meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2)) != composition(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2))
| join(composition(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2)),composition(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2))) = composition(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2)) ),
inference(resolve,[$cnf( $equal(join(composition(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2)),composition(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2))),composition(join(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1))),meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2))) )],[refute_0_20,refute_0_21]) ).
cnf(refute_0_23,plain,
composition(join(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1))),meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2)) != composition(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2)),
inference(resolve,[$cnf( $equal(join(composition(meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1)),meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2)),composition(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2))),composition(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2))) )],[refute_0_22,refute_0_0]) ).
cnf(refute_0_24,plain,
X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_25,plain,
join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),
inference(subst,[],[refute_0_6:[bind(X0,$fot(complement(join(complement(X0),X1)))),bind(X1,$fot(complement(join(complement(X0),complement(X1)))))]]) ).
cnf(refute_0_26,plain,
( X0 != join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1)))
| join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) != join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1))))
| X0 = join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) ),
introduced(tautology,[equality,[$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_27,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( $equal(join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1))))) )],[refute_0_25,refute_0_26]) ).
cnf(refute_0_28,plain,
X0 = join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),
inference(resolve,[$cnf( $equal(X0,join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1)))) )],[refute_0_24,refute_0_27]) ).
cnf(refute_0_29,plain,
join(complement(join(complement(X0),X1)),meet(X0,X1)) = join(meet(X0,X1),complement(join(complement(X0),X1))),
inference(subst,[],[refute_0_6:[bind(X0,$fot(meet(X0,X1))),bind(X1,$fot(complement(join(complement(X0),X1))))]]) ).
cnf(refute_0_30,plain,
meet(X0,X1) = complement(join(complement(X0),complement(X1))),
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_31,plain,
( meet(X0,X1) != complement(join(complement(X0),complement(X1)))
| complement(join(complement(X0),complement(X1))) = meet(X0,X1) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(meet(X0,X1))),bind(Y,$fot(complement(join(complement(X0),complement(X1)))))]]) ).
cnf(refute_0_32,plain,
complement(join(complement(X0),complement(X1))) = meet(X0,X1),
inference(resolve,[$cnf( $equal(meet(X0,X1),complement(join(complement(X0),complement(X1)))) )],[refute_0_30,refute_0_31]) ).
cnf(refute_0_33,plain,
join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),
introduced(tautology,[refl,[$fot(join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))))]]) ).
cnf(refute_0_34,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_35,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( $equal(join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1))))) )],[refute_0_33,refute_0_34]) ).
cnf(refute_0_36,plain,
join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = join(complement(join(complement(X0),X1)),meet(X0,X1)),
inference(resolve,[$cnf( $equal(complement(join(complement(X0),complement(X1))),meet(X0,X1)) )],[refute_0_32,refute_0_35]) ).
cnf(refute_0_37,plain,
( join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) != join(complement(join(complement(X0),X1)),meet(X0,X1))
| join(complement(join(complement(X0),X1)),meet(X0,X1)) != join(meet(X0,X1),complement(join(complement(X0),X1)))
| join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = join(meet(X0,X1),complement(join(complement(X0),X1))) ),
inference(subst,[],[refute_0_17:[bind(X,$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_38,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( $equal(join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),join(complement(join(complement(X0),X1)),meet(X0,X1))) )],[refute_0_36,refute_0_37]) ).
cnf(refute_0_39,plain,
join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = join(meet(X0,X1),complement(join(complement(X0),X1))),
inference(resolve,[$cnf( $equal(join(complement(join(complement(X0),X1)),meet(X0,X1)),join(meet(X0,X1),complement(join(complement(X0),X1)))) )],[refute_0_29,refute_0_38]) ).
cnf(refute_0_40,plain,
( X0 != join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1))))
| join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) != join(meet(X0,X1),complement(join(complement(X0),X1)))
| X0 = join(meet(X0,X1),complement(join(complement(X0),X1))) ),
introduced(tautology,[equality,[$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_41,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( $equal(join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),join(meet(X0,X1),complement(join(complement(X0),X1)))) )],[refute_0_39,refute_0_40]) ).
cnf(refute_0_42,plain,
X0 = join(meet(X0,X1),complement(join(complement(X0),X1))),
inference(resolve,[$cnf( $equal(X0,join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1))))) )],[refute_0_28,refute_0_41]) ).
cnf(refute_0_43,plain,
X_33 = join(meet(X_33,complement(X1)),complement(join(complement(X_33),complement(X1)))),
inference(subst,[],[refute_0_42:[bind(X0,$fot(X_33)),bind(X1,$fot(complement(X1)))]]) ).
cnf(refute_0_44,plain,
meet(X_33,X1) = complement(join(complement(X_33),complement(X1))),
inference(subst,[],[refute_0_30:[bind(X0,$fot(X_33))]]) ).
cnf(refute_0_45,plain,
( meet(X_33,X1) != complement(join(complement(X_33),complement(X1)))
| complement(join(complement(X_33),complement(X1))) = meet(X_33,X1) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(meet(X_33,X1))),bind(Y,$fot(complement(join(complement(X_33),complement(X1)))))]]) ).
cnf(refute_0_46,plain,
complement(join(complement(X_33),complement(X1))) = meet(X_33,X1),
inference(resolve,[$cnf( $equal(meet(X_33,X1),complement(join(complement(X_33),complement(X1)))) )],[refute_0_44,refute_0_45]) ).
cnf(refute_0_47,plain,
( X_33 != join(meet(X_33,complement(X1)),complement(join(complement(X_33),complement(X1))))
| complement(join(complement(X_33),complement(X1))) != meet(X_33,X1)
| X_33 = join(meet(X_33,complement(X1)),meet(X_33,X1)) ),
introduced(tautology,[equality,[$cnf( $equal(X_33,join(meet(X_33,complement(X1)),complement(join(complement(X_33),complement(X1))))) ),[1,1],$fot(meet(X_33,X1))]]) ).
cnf(refute_0_48,plain,
( X_33 != join(meet(X_33,complement(X1)),complement(join(complement(X_33),complement(X1))))
| X_33 = join(meet(X_33,complement(X1)),meet(X_33,X1)) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_33),complement(X1))),meet(X_33,X1)) )],[refute_0_46,refute_0_47]) ).
cnf(refute_0_49,plain,
X_33 = join(meet(X_33,complement(X1)),meet(X_33,X1)),
inference(resolve,[$cnf( $equal(X_33,join(meet(X_33,complement(X1)),complement(join(complement(X_33),complement(X1))))) )],[refute_0_43,refute_0_48]) ).
cnf(refute_0_50,plain,
join(meet(X_33,complement(X1)),meet(X_33,X1)) = join(meet(X_33,X1),meet(X_33,complement(X1))),
inference(subst,[],[refute_0_6:[bind(X0,$fot(meet(X_33,X1))),bind(X1,$fot(meet(X_33,complement(X1))))]]) ).
cnf(refute_0_51,plain,
( X_33 != join(meet(X_33,complement(X1)),meet(X_33,X1))
| join(meet(X_33,complement(X1)),meet(X_33,X1)) != join(meet(X_33,X1),meet(X_33,complement(X1)))
| X_33 = join(meet(X_33,X1),meet(X_33,complement(X1))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_33,join(meet(X_33,X1),meet(X_33,complement(X1)))) ),[0],$fot(join(meet(X_33,complement(X1)),meet(X_33,X1)))]]) ).
cnf(refute_0_52,plain,
( X_33 != join(meet(X_33,complement(X1)),meet(X_33,X1))
| X_33 = join(meet(X_33,X1),meet(X_33,complement(X1))) ),
inference(resolve,[$cnf( $equal(join(meet(X_33,complement(X1)),meet(X_33,X1)),join(meet(X_33,X1),meet(X_33,complement(X1)))) )],[refute_0_50,refute_0_51]) ).
cnf(refute_0_53,plain,
X_33 = join(meet(X_33,X1),meet(X_33,complement(X1))),
inference(resolve,[$cnf( $equal(X_33,join(meet(X_33,complement(X1)),meet(X_33,X1))) )],[refute_0_49,refute_0_52]) ).
cnf(refute_0_54,plain,
X_40 = join(meet(X_40,X_39),meet(X_40,complement(X_39))),
inference(subst,[],[refute_0_53:[bind(X1,$fot(X_39)),bind(X_33,$fot(X_40))]]) ).
cnf(refute_0_55,plain,
meet(X_6,X_7) = complement(join(complement(X_6),complement(X_7))),
inference(subst,[],[refute_0_30:[bind(X0,$fot(X_6)),bind(X1,$fot(X_7))]]) ).
cnf(refute_0_56,plain,
join(complement(X_7),complement(X_6)) = join(complement(X_6),complement(X_7)),
inference(subst,[],[refute_0_1:[bind(X0,$fot(complement(X_7))),bind(X1,$fot(complement(X_6)))]]) ).
cnf(refute_0_57,plain,
( join(complement(X_7),complement(X_6)) != join(complement(X_6),complement(X_7))
| join(complement(X_6),complement(X_7)) = join(complement(X_7),complement(X_6)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(complement(X_7),complement(X_6)))),bind(Y,$fot(join(complement(X_6),complement(X_7))))]]) ).
cnf(refute_0_58,plain,
join(complement(X_6),complement(X_7)) = join(complement(X_7),complement(X_6)),
inference(resolve,[$cnf( $equal(join(complement(X_7),complement(X_6)),join(complement(X_6),complement(X_7))) )],[refute_0_56,refute_0_57]) ).
cnf(refute_0_59,plain,
( join(complement(X_6),complement(X_7)) != join(complement(X_7),complement(X_6))
| meet(X_6,X_7) != complement(join(complement(X_6),complement(X_7)))
| meet(X_6,X_7) = complement(join(complement(X_7),complement(X_6))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_6,X_7),complement(join(complement(X_6),complement(X_7)))) ),[1,0],$fot(join(complement(X_7),complement(X_6)))]]) ).
cnf(refute_0_60,plain,
( meet(X_6,X_7) != complement(join(complement(X_6),complement(X_7)))
| meet(X_6,X_7) = complement(join(complement(X_7),complement(X_6))) ),
inference(resolve,[$cnf( $equal(join(complement(X_6),complement(X_7)),join(complement(X_7),complement(X_6))) )],[refute_0_58,refute_0_59]) ).
cnf(refute_0_61,plain,
meet(X_6,X_7) = complement(join(complement(X_7),complement(X_6))),
inference(resolve,[$cnf( $equal(meet(X_6,X_7),complement(join(complement(X_6),complement(X_7)))) )],[refute_0_55,refute_0_60]) ).
cnf(refute_0_62,plain,
complement(join(complement(X_7),complement(X_6))) = meet(X_7,X_6),
inference(subst,[],[refute_0_32:[bind(X0,$fot(X_7)),bind(X1,$fot(X_6))]]) ).
cnf(refute_0_63,plain,
( complement(join(complement(X_7),complement(X_6))) != meet(X_7,X_6)
| meet(X_6,X_7) != complement(join(complement(X_7),complement(X_6)))
| meet(X_6,X_7) = meet(X_7,X_6) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_6,X_7),complement(join(complement(X_7),complement(X_6)))) ),[1],$fot(meet(X_7,X_6))]]) ).
cnf(refute_0_64,plain,
( meet(X_6,X_7) != complement(join(complement(X_7),complement(X_6)))
| meet(X_6,X_7) = meet(X_7,X_6) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_7),complement(X_6))),meet(X_7,X_6)) )],[refute_0_62,refute_0_63]) ).
cnf(refute_0_65,plain,
meet(X_6,X_7) = meet(X_7,X_6),
inference(resolve,[$cnf( $equal(meet(X_6,X_7),complement(join(complement(X_7),complement(X_6)))) )],[refute_0_61,refute_0_64]) ).
cnf(refute_0_66,plain,
meet(complement(X_39),X_40) = meet(X_40,complement(X_39)),
inference(subst,[],[refute_0_65:[bind(X_6,$fot(complement(X_39))),bind(X_7,$fot(X_40))]]) ).
cnf(refute_0_67,plain,
( meet(complement(X_39),X_40) != meet(X_40,complement(X_39))
| meet(X_40,complement(X_39)) = meet(complement(X_39),X_40) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(meet(complement(X_39),X_40))),bind(Y,$fot(meet(X_40,complement(X_39))))]]) ).
cnf(refute_0_68,plain,
meet(X_40,complement(X_39)) = meet(complement(X_39),X_40),
inference(resolve,[$cnf( $equal(meet(complement(X_39),X_40),meet(X_40,complement(X_39))) )],[refute_0_66,refute_0_67]) ).
cnf(refute_0_69,plain,
( X_40 != join(meet(X_40,X_39),meet(X_40,complement(X_39)))
| meet(X_40,complement(X_39)) != meet(complement(X_39),X_40)
| X_40 = join(meet(X_40,X_39),meet(complement(X_39),X_40)) ),
introduced(tautology,[equality,[$cnf( $equal(X_40,join(meet(X_40,X_39),meet(X_40,complement(X_39)))) ),[1,1],$fot(meet(complement(X_39),X_40))]]) ).
cnf(refute_0_70,plain,
( X_40 != join(meet(X_40,X_39),meet(X_40,complement(X_39)))
| X_40 = join(meet(X_40,X_39),meet(complement(X_39),X_40)) ),
inference(resolve,[$cnf( $equal(meet(X_40,complement(X_39)),meet(complement(X_39),X_40)) )],[refute_0_68,refute_0_69]) ).
cnf(refute_0_71,plain,
X_40 = join(meet(X_40,X_39),meet(complement(X_39),X_40)),
inference(resolve,[$cnf( $equal(X_40,join(meet(X_40,X_39),meet(X_40,complement(X_39)))) )],[refute_0_54,refute_0_70]) ).
cnf(refute_0_72,plain,
complement(complement(X_70)) = join(meet(complement(complement(X_70)),X_70),meet(complement(X_70),complement(complement(X_70)))),
inference(subst,[],[refute_0_71:[bind(X_39,$fot(X_70)),bind(X_40,$fot(complement(complement(X_70))))]]) ).
cnf(refute_0_73,plain,
zero = meet(X0,complement(X0)),
inference(canonicalize,[],[normalize_0_11]) ).
cnf(refute_0_74,plain,
zero = meet(complement(X_70),complement(complement(X_70))),
inference(subst,[],[refute_0_73:[bind(X0,$fot(complement(X_70)))]]) ).
cnf(refute_0_75,plain,
( zero != meet(complement(X_70),complement(complement(X_70)))
| meet(complement(X_70),complement(complement(X_70))) = zero ),
inference(subst,[],[refute_0_4:[bind(X,$fot(zero)),bind(Y,$fot(meet(complement(X_70),complement(complement(X_70)))))]]) ).
cnf(refute_0_76,plain,
meet(complement(X_70),complement(complement(X_70))) = zero,
inference(resolve,[$cnf( $equal(zero,meet(complement(X_70),complement(complement(X_70)))) )],[refute_0_74,refute_0_75]) ).
cnf(refute_0_77,plain,
( complement(complement(X_70)) != join(meet(complement(complement(X_70)),X_70),meet(complement(X_70),complement(complement(X_70))))
| meet(complement(X_70),complement(complement(X_70))) != zero
| complement(complement(X_70)) = join(meet(complement(complement(X_70)),X_70),zero) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(X_70)),join(meet(complement(complement(X_70)),X_70),meet(complement(X_70),complement(complement(X_70))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_78,plain,
( complement(complement(X_70)) != join(meet(complement(complement(X_70)),X_70),meet(complement(X_70),complement(complement(X_70))))
| complement(complement(X_70)) = join(meet(complement(complement(X_70)),X_70),zero) ),
inference(resolve,[$cnf( $equal(meet(complement(X_70),complement(complement(X_70))),zero) )],[refute_0_76,refute_0_77]) ).
cnf(refute_0_79,plain,
complement(complement(X_70)) = join(meet(complement(complement(X_70)),X_70),zero),
inference(resolve,[$cnf( $equal(complement(complement(X_70)),join(meet(complement(complement(X_70)),X_70),meet(complement(X_70),complement(complement(X_70))))) )],[refute_0_72,refute_0_78]) ).
cnf(refute_0_80,plain,
X_33 = join(meet(X_33,complement(complement(X_33))),complement(join(complement(X_33),complement(complement(X_33))))),
inference(subst,[],[refute_0_42:[bind(X0,$fot(X_33)),bind(X1,$fot(complement(complement(X_33))))]]) ).
cnf(refute_0_81,plain,
top = join(X0,complement(X0)),
inference(canonicalize,[],[normalize_0_13]) ).
cnf(refute_0_82,plain,
top = join(complement(X_33),complement(complement(X_33))),
inference(subst,[],[refute_0_81:[bind(X0,$fot(complement(X_33)))]]) ).
cnf(refute_0_83,plain,
( top != join(complement(X_33),complement(complement(X_33)))
| join(complement(X_33),complement(complement(X_33))) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(complement(X_33),complement(complement(X_33)))))]]) ).
cnf(refute_0_84,plain,
join(complement(X_33),complement(complement(X_33))) = top,
inference(resolve,[$cnf( $equal(top,join(complement(X_33),complement(complement(X_33)))) )],[refute_0_82,refute_0_83]) ).
cnf(refute_0_85,plain,
( X_33 != join(meet(X_33,complement(complement(X_33))),complement(join(complement(X_33),complement(complement(X_33)))))
| join(complement(X_33),complement(complement(X_33))) != top
| X_33 = join(meet(X_33,complement(complement(X_33))),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(X_33,join(meet(X_33,complement(complement(X_33))),complement(join(complement(X_33),complement(complement(X_33)))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_0_86,plain,
( X_33 != join(meet(X_33,complement(complement(X_33))),complement(join(complement(X_33),complement(complement(X_33)))))
| X_33 = join(meet(X_33,complement(complement(X_33))),complement(top)) ),
inference(resolve,[$cnf( $equal(join(complement(X_33),complement(complement(X_33))),top) )],[refute_0_84,refute_0_85]) ).
cnf(refute_0_87,plain,
X_33 = join(meet(X_33,complement(complement(X_33))),complement(top)),
inference(resolve,[$cnf( $equal(X_33,join(meet(X_33,complement(complement(X_33))),complement(join(complement(X_33),complement(complement(X_33)))))) )],[refute_0_80,refute_0_86]) ).
cnf(refute_0_88,plain,
zero = meet(join(complement(X_6),complement(X_7)),complement(join(complement(X_6),complement(X_7)))),
inference(subst,[],[refute_0_73:[bind(X0,$fot(join(complement(X_6),complement(X_7))))]]) ).
cnf(refute_0_89,plain,
( meet(X_6,X_7) != complement(join(complement(X_6),complement(X_7)))
| complement(join(complement(X_6),complement(X_7))) = meet(X_6,X_7) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(meet(X_6,X_7))),bind(Y,$fot(complement(join(complement(X_6),complement(X_7)))))]]) ).
cnf(refute_0_90,plain,
complement(join(complement(X_6),complement(X_7))) = meet(X_6,X_7),
inference(resolve,[$cnf( $equal(meet(X_6,X_7),complement(join(complement(X_6),complement(X_7)))) )],[refute_0_55,refute_0_89]) ).
cnf(refute_0_91,plain,
( complement(join(complement(X_6),complement(X_7))) != meet(X_6,X_7)
| zero != meet(join(complement(X_6),complement(X_7)),complement(join(complement(X_6),complement(X_7))))
| zero = meet(join(complement(X_6),complement(X_7)),meet(X_6,X_7)) ),
introduced(tautology,[equality,[$cnf( $equal(zero,meet(join(complement(X_6),complement(X_7)),complement(join(complement(X_6),complement(X_7))))) ),[1,1],$fot(meet(X_6,X_7))]]) ).
cnf(refute_0_92,plain,
( zero != meet(join(complement(X_6),complement(X_7)),complement(join(complement(X_6),complement(X_7))))
| zero = meet(join(complement(X_6),complement(X_7)),meet(X_6,X_7)) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_6),complement(X_7))),meet(X_6,X_7)) )],[refute_0_90,refute_0_91]) ).
cnf(refute_0_93,plain,
zero = meet(join(complement(X_6),complement(X_7)),meet(X_6,X_7)),
inference(resolve,[$cnf( $equal(zero,meet(join(complement(X_6),complement(X_7)),complement(join(complement(X_6),complement(X_7))))) )],[refute_0_88,refute_0_92]) ).
cnf(refute_0_94,plain,
( top != join(X0,complement(X0))
| join(X0,complement(X0)) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(X0,complement(X0))))]]) ).
cnf(refute_0_95,plain,
join(X0,complement(X0)) = top,
inference(resolve,[$cnf( $equal(top,join(X0,complement(X0))) )],[refute_0_81,refute_0_94]) ).
cnf(refute_0_96,plain,
join(meet(X_6,X_7),complement(meet(X_6,X_7))) = top,
inference(subst,[],[refute_0_95:[bind(X0,$fot(meet(X_6,X_7)))]]) ).
cnf(refute_0_97,plain,
complement(join(meet(X_6,X_7),complement(meet(X_6,X_7)))) = complement(join(meet(X_6,X_7),complement(meet(X_6,X_7)))),
introduced(tautology,[refl,[$fot(complement(join(meet(X_6,X_7),complement(meet(X_6,X_7)))))]]) ).
cnf(refute_0_98,plain,
( complement(join(meet(X_6,X_7),complement(meet(X_6,X_7)))) != complement(join(meet(X_6,X_7),complement(meet(X_6,X_7))))
| join(meet(X_6,X_7),complement(meet(X_6,X_7))) != top
| complement(join(meet(X_6,X_7),complement(meet(X_6,X_7)))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(meet(X_6,X_7),complement(meet(X_6,X_7)))),complement(join(meet(X_6,X_7),complement(meet(X_6,X_7))))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_99,plain,
( join(meet(X_6,X_7),complement(meet(X_6,X_7))) != top
| complement(join(meet(X_6,X_7),complement(meet(X_6,X_7)))) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(join(meet(X_6,X_7),complement(meet(X_6,X_7)))),complement(join(meet(X_6,X_7),complement(meet(X_6,X_7))))) )],[refute_0_97,refute_0_98]) ).
cnf(refute_0_100,plain,
complement(join(meet(X_6,X_7),complement(meet(X_6,X_7)))) = complement(top),
inference(resolve,[$cnf( $equal(join(meet(X_6,X_7),complement(meet(X_6,X_7))),top) )],[refute_0_96,refute_0_99]) ).
cnf(refute_0_101,plain,
meet(join(complement(X_6),complement(X_7)),X1) = complement(join(complement(join(complement(X_6),complement(X_7))),complement(X1))),
inference(subst,[],[refute_0_30:[bind(X0,$fot(join(complement(X_6),complement(X_7))))]]) ).
cnf(refute_0_102,plain,
( complement(join(complement(X_6),complement(X_7))) != meet(X_6,X_7)
| meet(join(complement(X_6),complement(X_7)),X1) != complement(join(complement(join(complement(X_6),complement(X_7))),complement(X1)))
| meet(join(complement(X_6),complement(X_7)),X1) = complement(join(meet(X_6,X_7),complement(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(complement(X_6),complement(X_7)),X1),complement(join(complement(join(complement(X_6),complement(X_7))),complement(X1)))) ),[1,0,0],$fot(meet(X_6,X_7))]]) ).
cnf(refute_0_103,plain,
( meet(join(complement(X_6),complement(X_7)),X1) != complement(join(complement(join(complement(X_6),complement(X_7))),complement(X1)))
| meet(join(complement(X_6),complement(X_7)),X1) = complement(join(meet(X_6,X_7),complement(X1))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_6),complement(X_7))),meet(X_6,X_7)) )],[refute_0_90,refute_0_102]) ).
cnf(refute_0_104,plain,
meet(join(complement(X_6),complement(X_7)),X1) = complement(join(meet(X_6,X_7),complement(X1))),
inference(resolve,[$cnf( $equal(meet(join(complement(X_6),complement(X_7)),X1),complement(join(complement(join(complement(X_6),complement(X_7))),complement(X1)))) )],[refute_0_101,refute_0_103]) ).
cnf(refute_0_105,plain,
meet(join(complement(X_6),complement(X_7)),meet(X_6,X_7)) = complement(join(meet(X_6,X_7),complement(meet(X_6,X_7)))),
inference(subst,[],[refute_0_104:[bind(X1,$fot(meet(X_6,X_7)))]]) ).
cnf(refute_0_106,plain,
( complement(join(meet(X_6,X_7),complement(meet(X_6,X_7)))) != complement(top)
| meet(join(complement(X_6),complement(X_7)),meet(X_6,X_7)) != complement(join(meet(X_6,X_7),complement(meet(X_6,X_7))))
| meet(join(complement(X_6),complement(X_7)),meet(X_6,X_7)) = complement(top) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(meet(join(complement(X_6),complement(X_7)),meet(X_6,X_7)))),bind(Y,$fot(complement(join(meet(X_6,X_7),complement(meet(X_6,X_7)))))),bind(Z,$fot(complement(top)))]]) ).
cnf(refute_0_107,plain,
( complement(join(meet(X_6,X_7),complement(meet(X_6,X_7)))) != complement(top)
| meet(join(complement(X_6),complement(X_7)),meet(X_6,X_7)) = complement(top) ),
inference(resolve,[$cnf( $equal(meet(join(complement(X_6),complement(X_7)),meet(X_6,X_7)),complement(join(meet(X_6,X_7),complement(meet(X_6,X_7))))) )],[refute_0_105,refute_0_106]) ).
cnf(refute_0_108,plain,
meet(join(complement(X_6),complement(X_7)),meet(X_6,X_7)) = complement(top),
inference(resolve,[$cnf( $equal(complement(join(meet(X_6,X_7),complement(meet(X_6,X_7)))),complement(top)) )],[refute_0_100,refute_0_107]) ).
cnf(refute_0_109,plain,
( meet(join(complement(X_6),complement(X_7)),meet(X_6,X_7)) != complement(top)
| zero != meet(join(complement(X_6),complement(X_7)),meet(X_6,X_7))
| zero = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(zero,meet(join(complement(X_6),complement(X_7)),meet(X_6,X_7))) ),[1],$fot(complement(top))]]) ).
cnf(refute_0_110,plain,
( zero != meet(join(complement(X_6),complement(X_7)),meet(X_6,X_7))
| zero = complement(top) ),
inference(resolve,[$cnf( $equal(meet(join(complement(X_6),complement(X_7)),meet(X_6,X_7)),complement(top)) )],[refute_0_108,refute_0_109]) ).
cnf(refute_0_111,plain,
zero = complement(top),
inference(resolve,[$cnf( $equal(zero,meet(join(complement(X_6),complement(X_7)),meet(X_6,X_7))) )],[refute_0_93,refute_0_110]) ).
cnf(refute_0_112,plain,
( zero != complement(top)
| complement(top) = zero ),
inference(subst,[],[refute_0_4:[bind(X,$fot(zero)),bind(Y,$fot(complement(top)))]]) ).
cnf(refute_0_113,plain,
complement(top) = zero,
inference(resolve,[$cnf( $equal(zero,complement(top)) )],[refute_0_111,refute_0_112]) ).
cnf(refute_0_114,plain,
join(complement(top),meet(X_33,complement(complement(X_33)))) = join(complement(top),meet(X_33,complement(complement(X_33)))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(X_33,complement(complement(X_33)))))]]) ).
cnf(refute_0_115,plain,
( complement(top) != zero
| join(complement(top),meet(X_33,complement(complement(X_33)))) != join(complement(top),meet(X_33,complement(complement(X_33))))
| join(complement(top),meet(X_33,complement(complement(X_33)))) = join(zero,meet(X_33,complement(complement(X_33)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(X_33,complement(complement(X_33)))),join(complement(top),meet(X_33,complement(complement(X_33))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_116,plain,
( complement(top) != zero
| join(complement(top),meet(X_33,complement(complement(X_33)))) = join(zero,meet(X_33,complement(complement(X_33)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_33,complement(complement(X_33)))),join(complement(top),meet(X_33,complement(complement(X_33))))) )],[refute_0_114,refute_0_115]) ).
cnf(refute_0_117,plain,
join(complement(top),meet(X_33,complement(complement(X_33)))) = join(zero,meet(X_33,complement(complement(X_33)))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_113,refute_0_116]) ).
cnf(refute_0_118,plain,
join(meet(X_33,complement(complement(X_33))),complement(top)) = join(complement(top),meet(X_33,complement(complement(X_33)))),
inference(subst,[],[refute_0_6:[bind(X0,$fot(complement(top))),bind(X1,$fot(meet(X_33,complement(complement(X_33)))))]]) ).
cnf(refute_0_119,plain,
( join(complement(top),meet(X_33,complement(complement(X_33)))) != join(zero,meet(X_33,complement(complement(X_33))))
| join(meet(X_33,complement(complement(X_33))),complement(top)) != join(complement(top),meet(X_33,complement(complement(X_33))))
| join(meet(X_33,complement(complement(X_33))),complement(top)) = join(zero,meet(X_33,complement(complement(X_33)))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(meet(X_33,complement(complement(X_33))),complement(top)))),bind(Y,$fot(join(complement(top),meet(X_33,complement(complement(X_33)))))),bind(Z,$fot(join(zero,meet(X_33,complement(complement(X_33))))))]]) ).
cnf(refute_0_120,plain,
( join(complement(top),meet(X_33,complement(complement(X_33)))) != join(zero,meet(X_33,complement(complement(X_33))))
| join(meet(X_33,complement(complement(X_33))),complement(top)) = join(zero,meet(X_33,complement(complement(X_33)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_33,complement(complement(X_33))),complement(top)),join(complement(top),meet(X_33,complement(complement(X_33))))) )],[refute_0_118,refute_0_119]) ).
cnf(refute_0_121,plain,
join(meet(X_33,complement(complement(X_33))),complement(top)) = join(zero,meet(X_33,complement(complement(X_33)))),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_33,complement(complement(X_33)))),join(zero,meet(X_33,complement(complement(X_33))))) )],[refute_0_117,refute_0_120]) ).
cnf(refute_0_122,plain,
( X_33 != join(meet(X_33,complement(complement(X_33))),complement(top))
| join(meet(X_33,complement(complement(X_33))),complement(top)) != join(zero,meet(X_33,complement(complement(X_33))))
| X_33 = join(zero,meet(X_33,complement(complement(X_33)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_33,join(zero,meet(X_33,complement(complement(X_33))))) ),[0],$fot(join(meet(X_33,complement(complement(X_33))),complement(top)))]]) ).
cnf(refute_0_123,plain,
( X_33 != join(meet(X_33,complement(complement(X_33))),complement(top))
| X_33 = join(zero,meet(X_33,complement(complement(X_33)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_33,complement(complement(X_33))),complement(top)),join(zero,meet(X_33,complement(complement(X_33))))) )],[refute_0_121,refute_0_122]) ).
cnf(refute_0_124,plain,
X_33 = join(zero,meet(X_33,complement(complement(X_33)))),
inference(resolve,[$cnf( $equal(X_33,join(meet(X_33,complement(complement(X_33))),complement(top))) )],[refute_0_87,refute_0_123]) ).
cnf(refute_0_125,plain,
( X_33 != join(zero,meet(X_33,complement(complement(X_33))))
| join(zero,meet(X_33,complement(complement(X_33)))) = X_33 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(X_33)),bind(Y,$fot(join(zero,meet(X_33,complement(complement(X_33))))))]]) ).
cnf(refute_0_126,plain,
join(zero,meet(X_33,complement(complement(X_33)))) = X_33,
inference(resolve,[$cnf( $equal(X_33,join(zero,meet(X_33,complement(complement(X_33))))) )],[refute_0_124,refute_0_125]) ).
cnf(refute_0_127,plain,
join(zero,meet(X_70,complement(complement(X_70)))) = X_70,
inference(subst,[],[refute_0_126:[bind(X_33,$fot(X_70))]]) ).
cnf(refute_0_128,plain,
( meet(X_6,X_7) != meet(X_7,X_6)
| meet(X_7,X_6) = meet(X_6,X_7) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(meet(X_6,X_7))),bind(Y,$fot(meet(X_7,X_6)))]]) ).
cnf(refute_0_129,plain,
meet(X_7,X_6) = meet(X_6,X_7),
inference(resolve,[$cnf( $equal(meet(X_6,X_7),meet(X_7,X_6)) )],[refute_0_65,refute_0_128]) ).
cnf(refute_0_130,plain,
meet(complement(complement(X_70)),X_70) = meet(X_70,complement(complement(X_70))),
inference(subst,[],[refute_0_129:[bind(X_6,$fot(X_70)),bind(X_7,$fot(complement(complement(X_70))))]]) ).
cnf(refute_0_131,plain,
join(zero,meet(complement(complement(X_70)),X_70)) = join(zero,meet(complement(complement(X_70)),X_70)),
introduced(tautology,[refl,[$fot(join(zero,meet(complement(complement(X_70)),X_70)))]]) ).
cnf(refute_0_132,plain,
( join(zero,meet(complement(complement(X_70)),X_70)) != join(zero,meet(complement(complement(X_70)),X_70))
| meet(complement(complement(X_70)),X_70) != meet(X_70,complement(complement(X_70)))
| join(zero,meet(complement(complement(X_70)),X_70)) = join(zero,meet(X_70,complement(complement(X_70)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(complement(complement(X_70)),X_70)),join(zero,meet(complement(complement(X_70)),X_70))) ),[1,1],$fot(meet(X_70,complement(complement(X_70))))]]) ).
cnf(refute_0_133,plain,
( meet(complement(complement(X_70)),X_70) != meet(X_70,complement(complement(X_70)))
| join(zero,meet(complement(complement(X_70)),X_70)) = join(zero,meet(X_70,complement(complement(X_70)))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(complement(X_70)),X_70)),join(zero,meet(complement(complement(X_70)),X_70))) )],[refute_0_131,refute_0_132]) ).
cnf(refute_0_134,plain,
join(zero,meet(complement(complement(X_70)),X_70)) = join(zero,meet(X_70,complement(complement(X_70)))),
inference(resolve,[$cnf( $equal(meet(complement(complement(X_70)),X_70),meet(X_70,complement(complement(X_70)))) )],[refute_0_130,refute_0_133]) ).
cnf(refute_0_135,plain,
( join(zero,meet(X_70,complement(complement(X_70)))) != X_70
| join(zero,meet(complement(complement(X_70)),X_70)) != join(zero,meet(X_70,complement(complement(X_70))))
| join(zero,meet(complement(complement(X_70)),X_70)) = X_70 ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(zero,meet(complement(complement(X_70)),X_70)))),bind(Y,$fot(join(zero,meet(X_70,complement(complement(X_70)))))),bind(Z,$fot(X_70))]]) ).
cnf(refute_0_136,plain,
( join(zero,meet(X_70,complement(complement(X_70)))) != X_70
| join(zero,meet(complement(complement(X_70)),X_70)) = X_70 ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(complement(X_70)),X_70)),join(zero,meet(X_70,complement(complement(X_70))))) )],[refute_0_134,refute_0_135]) ).
cnf(refute_0_137,plain,
join(zero,meet(complement(complement(X_70)),X_70)) = X_70,
inference(resolve,[$cnf( $equal(join(zero,meet(X_70,complement(complement(X_70)))),X_70) )],[refute_0_127,refute_0_136]) ).
cnf(refute_0_138,plain,
join(meet(complement(complement(X_70)),X_70),zero) = join(zero,meet(complement(complement(X_70)),X_70)),
inference(subst,[],[refute_0_6:[bind(X0,$fot(zero)),bind(X1,$fot(meet(complement(complement(X_70)),X_70)))]]) ).
cnf(refute_0_139,plain,
( join(meet(complement(complement(X_70)),X_70),zero) != join(zero,meet(complement(complement(X_70)),X_70))
| join(zero,meet(complement(complement(X_70)),X_70)) != X_70
| join(meet(complement(complement(X_70)),X_70),zero) = X_70 ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(meet(complement(complement(X_70)),X_70),zero))),bind(Y,$fot(join(zero,meet(complement(complement(X_70)),X_70)))),bind(Z,$fot(X_70))]]) ).
cnf(refute_0_140,plain,
( join(zero,meet(complement(complement(X_70)),X_70)) != X_70
| join(meet(complement(complement(X_70)),X_70),zero) = X_70 ),
inference(resolve,[$cnf( $equal(join(meet(complement(complement(X_70)),X_70),zero),join(zero,meet(complement(complement(X_70)),X_70))) )],[refute_0_138,refute_0_139]) ).
cnf(refute_0_141,plain,
join(meet(complement(complement(X_70)),X_70),zero) = X_70,
inference(resolve,[$cnf( $equal(join(zero,meet(complement(complement(X_70)),X_70)),X_70) )],[refute_0_137,refute_0_140]) ).
cnf(refute_0_142,plain,
( complement(complement(X_70)) != join(meet(complement(complement(X_70)),X_70),zero)
| join(meet(complement(complement(X_70)),X_70),zero) != X_70
| complement(complement(X_70)) = X_70 ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(complement(X_70)),X_70) ),[0],$fot(join(meet(complement(complement(X_70)),X_70),zero))]]) ).
cnf(refute_0_143,plain,
( complement(complement(X_70)) != join(meet(complement(complement(X_70)),X_70),zero)
| complement(complement(X_70)) = X_70 ),
inference(resolve,[$cnf( $equal(join(meet(complement(complement(X_70)),X_70),zero),X_70) )],[refute_0_141,refute_0_142]) ).
cnf(refute_0_144,plain,
complement(complement(X_70)) = X_70,
inference(resolve,[$cnf( $equal(complement(complement(X_70)),join(meet(complement(complement(X_70)),X_70),zero)) )],[refute_0_79,refute_0_143]) ).
cnf(refute_0_145,plain,
complement(complement(join(X_355,meet(X_355,X_356)))) = join(X_355,meet(X_355,X_356)),
inference(subst,[],[refute_0_144:[bind(X_70,$fot(join(X_355,meet(X_355,X_356))))]]) ).
cnf(refute_0_146,plain,
X_33 = join(meet(X_33,X_34),complement(join(complement(X_33),X_34))),
inference(subst,[],[refute_0_42:[bind(X0,$fot(X_33)),bind(X1,$fot(X_34))]]) ).
cnf(refute_0_147,plain,
meet(X_34,X_33) = meet(X_33,X_34),
inference(subst,[],[refute_0_65:[bind(X_6,$fot(X_34)),bind(X_7,$fot(X_33))]]) ).
cnf(refute_0_148,plain,
( meet(X_34,X_33) != meet(X_33,X_34)
| meet(X_33,X_34) = meet(X_34,X_33) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(meet(X_34,X_33))),bind(Y,$fot(meet(X_33,X_34)))]]) ).
cnf(refute_0_149,plain,
meet(X_33,X_34) = meet(X_34,X_33),
inference(resolve,[$cnf( $equal(meet(X_34,X_33),meet(X_33,X_34)) )],[refute_0_147,refute_0_148]) ).
cnf(refute_0_150,plain,
( X_33 != join(meet(X_33,X_34),complement(join(complement(X_33),X_34)))
| meet(X_33,X_34) != meet(X_34,X_33)
| X_33 = join(meet(X_34,X_33),complement(join(complement(X_33),X_34))) ),
introduced(tautology,[equality,[$cnf( $equal(X_33,join(meet(X_33,X_34),complement(join(complement(X_33),X_34)))) ),[1,0],$fot(meet(X_34,X_33))]]) ).
cnf(refute_0_151,plain,
( X_33 != join(meet(X_33,X_34),complement(join(complement(X_33),X_34)))
| X_33 = join(meet(X_34,X_33),complement(join(complement(X_33),X_34))) ),
inference(resolve,[$cnf( $equal(meet(X_33,X_34),meet(X_34,X_33)) )],[refute_0_149,refute_0_150]) ).
cnf(refute_0_152,plain,
X_33 = join(meet(X_34,X_33),complement(join(complement(X_33),X_34))),
inference(resolve,[$cnf( $equal(X_33,join(meet(X_33,X_34),complement(join(complement(X_33),X_34)))) )],[refute_0_146,refute_0_151]) ).
cnf(refute_0_153,plain,
X_33 = join(meet(join(complement(complement(X_33)),X_84),X_33),complement(join(complement(X_33),join(complement(complement(X_33)),X_84)))),
inference(subst,[],[refute_0_152:[bind(X_34,$fot(join(complement(complement(X_33)),X_84)))]]) ).
cnf(refute_0_154,plain,
join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(canonicalize,[],[normalize_0_15]) ).
cnf(refute_0_155,plain,
join(X_75,join(complement(X_75),X_77)) = join(join(X_75,complement(X_75)),X_77),
inference(subst,[],[refute_0_154:[bind(X0,$fot(X_75)),bind(X1,$fot(complement(X_75))),bind(X2,$fot(X_77))]]) ).
cnf(refute_0_156,plain,
top = join(X_75,complement(X_75)),
inference(subst,[],[refute_0_81:[bind(X0,$fot(X_75))]]) ).
cnf(refute_0_157,plain,
( top != join(X_75,complement(X_75))
| join(X_75,complement(X_75)) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(X_75,complement(X_75))))]]) ).
cnf(refute_0_158,plain,
join(X_75,complement(X_75)) = top,
inference(resolve,[$cnf( $equal(top,join(X_75,complement(X_75))) )],[refute_0_156,refute_0_157]) ).
cnf(refute_0_159,plain,
( join(X_75,complement(X_75)) != top
| join(X_75,join(complement(X_75),X_77)) != join(join(X_75,complement(X_75)),X_77)
| join(X_75,join(complement(X_75),X_77)) = join(top,X_77) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_75,join(complement(X_75),X_77)),join(join(X_75,complement(X_75)),X_77)) ),[1,0],$fot(top)]]) ).
cnf(refute_0_160,plain,
( join(X_75,join(complement(X_75),X_77)) != join(join(X_75,complement(X_75)),X_77)
| join(X_75,join(complement(X_75),X_77)) = join(top,X_77) ),
inference(resolve,[$cnf( $equal(join(X_75,complement(X_75)),top) )],[refute_0_158,refute_0_159]) ).
cnf(refute_0_161,plain,
join(X_75,join(complement(X_75),X_77)) = join(top,X_77),
inference(resolve,[$cnf( $equal(join(X_75,join(complement(X_75),X_77)),join(join(X_75,complement(X_75)),X_77)) )],[refute_0_155,refute_0_160]) ).
cnf(refute_0_162,plain,
join(complement(X_33),join(complement(complement(X_33)),X_84)) = join(top,X_84),
inference(subst,[],[refute_0_161:[bind(X_75,$fot(complement(X_33))),bind(X_77,$fot(X_84))]]) ).
cnf(refute_0_163,plain,
( X_33 != join(meet(join(complement(complement(X_33)),X_84),X_33),complement(join(complement(X_33),join(complement(complement(X_33)),X_84))))
| join(complement(X_33),join(complement(complement(X_33)),X_84)) != join(top,X_84)
| X_33 = join(meet(join(complement(complement(X_33)),X_84),X_33),complement(join(top,X_84))) ),
introduced(tautology,[equality,[$cnf( $equal(X_33,join(meet(join(complement(complement(X_33)),X_84),X_33),complement(join(complement(X_33),join(complement(complement(X_33)),X_84))))) ),[1,1,0],$fot(join(top,X_84))]]) ).
cnf(refute_0_164,plain,
( X_33 != join(meet(join(complement(complement(X_33)),X_84),X_33),complement(join(complement(X_33),join(complement(complement(X_33)),X_84))))
| X_33 = join(meet(join(complement(complement(X_33)),X_84),X_33),complement(join(top,X_84))) ),
inference(resolve,[$cnf( $equal(join(complement(X_33),join(complement(complement(X_33)),X_84)),join(top,X_84)) )],[refute_0_162,refute_0_163]) ).
cnf(refute_0_165,plain,
X_33 = join(meet(join(complement(complement(X_33)),X_84),X_33),complement(join(top,X_84))),
inference(resolve,[$cnf( $equal(X_33,join(meet(join(complement(complement(X_33)),X_84),X_33),complement(join(complement(X_33),join(complement(complement(X_33)),X_84))))) )],[refute_0_153,refute_0_164]) ).
cnf(refute_0_166,plain,
complement(complement(X_33)) = X_33,
inference(subst,[],[refute_0_144:[bind(X_70,$fot(X_33))]]) ).
cnf(refute_0_167,plain,
join(complement(complement(X_33)),X_84) = join(complement(complement(X_33)),X_84),
introduced(tautology,[refl,[$fot(join(complement(complement(X_33)),X_84))]]) ).
cnf(refute_0_168,plain,
( complement(complement(X_33)) != X_33
| join(complement(complement(X_33)),X_84) != join(complement(complement(X_33)),X_84)
| join(complement(complement(X_33)),X_84) = join(X_33,X_84) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(X_33)),X_84),join(complement(complement(X_33)),X_84)) ),[1,0],$fot(X_33)]]) ).
cnf(refute_0_169,plain,
( complement(complement(X_33)) != X_33
| join(complement(complement(X_33)),X_84) = join(X_33,X_84) ),
inference(resolve,[$cnf( $equal(join(complement(complement(X_33)),X_84),join(complement(complement(X_33)),X_84)) )],[refute_0_167,refute_0_168]) ).
cnf(refute_0_170,plain,
join(complement(complement(X_33)),X_84) = join(X_33,X_84),
inference(resolve,[$cnf( $equal(complement(complement(X_33)),X_33) )],[refute_0_166,refute_0_169]) ).
cnf(refute_0_171,plain,
meet(X_33,join(complement(complement(X_33)),X_84)) = meet(X_33,join(complement(complement(X_33)),X_84)),
introduced(tautology,[refl,[$fot(meet(X_33,join(complement(complement(X_33)),X_84)))]]) ).
cnf(refute_0_172,plain,
( join(complement(complement(X_33)),X_84) != join(X_33,X_84)
| meet(X_33,join(complement(complement(X_33)),X_84)) != meet(X_33,join(complement(complement(X_33)),X_84))
| meet(X_33,join(complement(complement(X_33)),X_84)) = meet(X_33,join(X_33,X_84)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_33,join(complement(complement(X_33)),X_84)),meet(X_33,join(complement(complement(X_33)),X_84))) ),[1,1],$fot(join(X_33,X_84))]]) ).
cnf(refute_0_173,plain,
( join(complement(complement(X_33)),X_84) != join(X_33,X_84)
| meet(X_33,join(complement(complement(X_33)),X_84)) = meet(X_33,join(X_33,X_84)) ),
inference(resolve,[$cnf( $equal(meet(X_33,join(complement(complement(X_33)),X_84)),meet(X_33,join(complement(complement(X_33)),X_84))) )],[refute_0_171,refute_0_172]) ).
cnf(refute_0_174,plain,
meet(X_33,join(complement(complement(X_33)),X_84)) = meet(X_33,join(X_33,X_84)),
inference(resolve,[$cnf( $equal(join(complement(complement(X_33)),X_84),join(X_33,X_84)) )],[refute_0_170,refute_0_173]) ).
cnf(refute_0_175,plain,
meet(join(complement(complement(X_33)),X_84),X_33) = meet(X_33,join(complement(complement(X_33)),X_84)),
inference(subst,[],[refute_0_129:[bind(X_6,$fot(X_33)),bind(X_7,$fot(join(complement(complement(X_33)),X_84)))]]) ).
cnf(refute_0_176,plain,
( meet(X_33,join(complement(complement(X_33)),X_84)) != meet(X_33,join(X_33,X_84))
| meet(join(complement(complement(X_33)),X_84),X_33) != meet(X_33,join(complement(complement(X_33)),X_84))
| meet(join(complement(complement(X_33)),X_84),X_33) = meet(X_33,join(X_33,X_84)) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(meet(join(complement(complement(X_33)),X_84),X_33))),bind(Y,$fot(meet(X_33,join(complement(complement(X_33)),X_84)))),bind(Z,$fot(meet(X_33,join(X_33,X_84))))]]) ).
cnf(refute_0_177,plain,
( meet(X_33,join(complement(complement(X_33)),X_84)) != meet(X_33,join(X_33,X_84))
| meet(join(complement(complement(X_33)),X_84),X_33) = meet(X_33,join(X_33,X_84)) ),
inference(resolve,[$cnf( $equal(meet(join(complement(complement(X_33)),X_84),X_33),meet(X_33,join(complement(complement(X_33)),X_84))) )],[refute_0_175,refute_0_176]) ).
cnf(refute_0_178,plain,
meet(join(complement(complement(X_33)),X_84),X_33) = meet(X_33,join(X_33,X_84)),
inference(resolve,[$cnf( $equal(meet(X_33,join(complement(complement(X_33)),X_84)),meet(X_33,join(X_33,X_84))) )],[refute_0_174,refute_0_177]) ).
cnf(refute_0_179,plain,
join(complement(join(top,X_84)),meet(join(complement(complement(X_33)),X_84),X_33)) = join(complement(join(top,X_84)),meet(join(complement(complement(X_33)),X_84),X_33)),
introduced(tautology,[refl,[$fot(join(complement(join(top,X_84)),meet(join(complement(complement(X_33)),X_84),X_33)))]]) ).
cnf(refute_0_180,plain,
( join(complement(join(top,X_84)),meet(join(complement(complement(X_33)),X_84),X_33)) != join(complement(join(top,X_84)),meet(join(complement(complement(X_33)),X_84),X_33))
| meet(join(complement(complement(X_33)),X_84),X_33) != meet(X_33,join(X_33,X_84))
| join(complement(join(top,X_84)),meet(join(complement(complement(X_33)),X_84),X_33)) = join(complement(join(top,X_84)),meet(X_33,join(X_33,X_84))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(join(top,X_84)),meet(join(complement(complement(X_33)),X_84),X_33)),join(complement(join(top,X_84)),meet(join(complement(complement(X_33)),X_84),X_33))) ),[1,1],$fot(meet(X_33,join(X_33,X_84)))]]) ).
cnf(refute_0_181,plain,
( meet(join(complement(complement(X_33)),X_84),X_33) != meet(X_33,join(X_33,X_84))
| join(complement(join(top,X_84)),meet(join(complement(complement(X_33)),X_84),X_33)) = join(complement(join(top,X_84)),meet(X_33,join(X_33,X_84))) ),
inference(resolve,[$cnf( $equal(join(complement(join(top,X_84)),meet(join(complement(complement(X_33)),X_84),X_33)),join(complement(join(top,X_84)),meet(join(complement(complement(X_33)),X_84),X_33))) )],[refute_0_179,refute_0_180]) ).
cnf(refute_0_182,plain,
join(complement(join(top,X_84)),meet(join(complement(complement(X_33)),X_84),X_33)) = join(complement(join(top,X_84)),meet(X_33,join(X_33,X_84))),
inference(resolve,[$cnf( $equal(meet(join(complement(complement(X_33)),X_84),X_33),meet(X_33,join(X_33,X_84))) )],[refute_0_178,refute_0_181]) ).
cnf(refute_0_183,plain,
join(meet(join(complement(complement(X_33)),X_84),X_33),complement(join(top,X_84))) = join(complement(join(top,X_84)),meet(join(complement(complement(X_33)),X_84),X_33)),
inference(subst,[],[refute_0_6:[bind(X0,$fot(complement(join(top,X_84)))),bind(X1,$fot(meet(join(complement(complement(X_33)),X_84),X_33)))]]) ).
cnf(refute_0_184,plain,
( join(complement(join(top,X_84)),meet(join(complement(complement(X_33)),X_84),X_33)) != join(complement(join(top,X_84)),meet(X_33,join(X_33,X_84)))
| join(meet(join(complement(complement(X_33)),X_84),X_33),complement(join(top,X_84))) != join(complement(join(top,X_84)),meet(join(complement(complement(X_33)),X_84),X_33))
| join(meet(join(complement(complement(X_33)),X_84),X_33),complement(join(top,X_84))) = join(complement(join(top,X_84)),meet(X_33,join(X_33,X_84))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(meet(join(complement(complement(X_33)),X_84),X_33),complement(join(top,X_84))))),bind(Y,$fot(join(complement(join(top,X_84)),meet(join(complement(complement(X_33)),X_84),X_33)))),bind(Z,$fot(join(complement(join(top,X_84)),meet(X_33,join(X_33,X_84)))))]]) ).
cnf(refute_0_185,plain,
( join(complement(join(top,X_84)),meet(join(complement(complement(X_33)),X_84),X_33)) != join(complement(join(top,X_84)),meet(X_33,join(X_33,X_84)))
| join(meet(join(complement(complement(X_33)),X_84),X_33),complement(join(top,X_84))) = join(complement(join(top,X_84)),meet(X_33,join(X_33,X_84))) ),
inference(resolve,[$cnf( $equal(join(meet(join(complement(complement(X_33)),X_84),X_33),complement(join(top,X_84))),join(complement(join(top,X_84)),meet(join(complement(complement(X_33)),X_84),X_33))) )],[refute_0_183,refute_0_184]) ).
cnf(refute_0_186,plain,
join(meet(join(complement(complement(X_33)),X_84),X_33),complement(join(top,X_84))) = join(complement(join(top,X_84)),meet(X_33,join(X_33,X_84))),
inference(resolve,[$cnf( $equal(join(complement(join(top,X_84)),meet(join(complement(complement(X_33)),X_84),X_33)),join(complement(join(top,X_84)),meet(X_33,join(X_33,X_84)))) )],[refute_0_182,refute_0_185]) ).
cnf(refute_0_187,plain,
( X_33 != join(meet(join(complement(complement(X_33)),X_84),X_33),complement(join(top,X_84)))
| join(meet(join(complement(complement(X_33)),X_84),X_33),complement(join(top,X_84))) != join(complement(join(top,X_84)),meet(X_33,join(X_33,X_84)))
| X_33 = join(complement(join(top,X_84)),meet(X_33,join(X_33,X_84))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_33,join(complement(join(top,X_84)),meet(X_33,join(X_33,X_84)))) ),[0],$fot(join(meet(join(complement(complement(X_33)),X_84),X_33),complement(join(top,X_84))))]]) ).
cnf(refute_0_188,plain,
( X_33 != join(meet(join(complement(complement(X_33)),X_84),X_33),complement(join(top,X_84)))
| X_33 = join(complement(join(top,X_84)),meet(X_33,join(X_33,X_84))) ),
inference(resolve,[$cnf( $equal(join(meet(join(complement(complement(X_33)),X_84),X_33),complement(join(top,X_84))),join(complement(join(top,X_84)),meet(X_33,join(X_33,X_84)))) )],[refute_0_186,refute_0_187]) ).
cnf(refute_0_189,plain,
X_33 = join(complement(join(top,X_84)),meet(X_33,join(X_33,X_84))),
inference(resolve,[$cnf( $equal(X_33,join(meet(join(complement(complement(X_33)),X_84),X_33),complement(join(top,X_84)))) )],[refute_0_165,refute_0_188]) ).
cnf(refute_0_190,plain,
join(zero,X1) = join(X1,zero),
inference(subst,[],[refute_0_1:[bind(X0,$fot(zero))]]) ).
cnf(refute_0_191,plain,
X_33 = join(meet(X_33,composition(converse(X0),complement(composition(X0,X_33)))),complement(join(complement(X_33),composition(converse(X0),complement(composition(X0,X_33)))))),
inference(subst,[],[refute_0_42:[bind(X0,$fot(X_33)),bind(X1,$fot(composition(converse(X0),complement(composition(X0,X_33)))))]]) ).
cnf(refute_0_192,plain,
join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
inference(canonicalize,[],[normalize_0_17]) ).
cnf(refute_0_193,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_194,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_195,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( $equal(join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),join(complement(X1),composition(converse(X0),complement(composition(X0,X1))))) )],[refute_0_193,refute_0_194]) ).
cnf(refute_0_196,plain,
join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))) = complement(X1),
inference(resolve,[$cnf( $equal(join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),complement(X1)) )],[refute_0_192,refute_0_195]) ).
cnf(refute_0_197,plain,
join(complement(X_33),composition(converse(X0),complement(composition(X0,X_33)))) = complement(X_33),
inference(subst,[],[refute_0_196:[bind(X1,$fot(X_33))]]) ).
cnf(refute_0_198,plain,
( X_33 != join(meet(X_33,composition(converse(X0),complement(composition(X0,X_33)))),complement(join(complement(X_33),composition(converse(X0),complement(composition(X0,X_33))))))
| join(complement(X_33),composition(converse(X0),complement(composition(X0,X_33)))) != complement(X_33)
| X_33 = join(meet(X_33,composition(converse(X0),complement(composition(X0,X_33)))),complement(complement(X_33))) ),
introduced(tautology,[equality,[$cnf( $equal(X_33,join(meet(X_33,composition(converse(X0),complement(composition(X0,X_33)))),complement(join(complement(X_33),composition(converse(X0),complement(composition(X0,X_33))))))) ),[1,1,0],$fot(complement(X_33))]]) ).
cnf(refute_0_199,plain,
( X_33 != join(meet(X_33,composition(converse(X0),complement(composition(X0,X_33)))),complement(join(complement(X_33),composition(converse(X0),complement(composition(X0,X_33))))))
| X_33 = join(meet(X_33,composition(converse(X0),complement(composition(X0,X_33)))),complement(complement(X_33))) ),
inference(resolve,[$cnf( $equal(join(complement(X_33),composition(converse(X0),complement(composition(X0,X_33)))),complement(X_33)) )],[refute_0_197,refute_0_198]) ).
cnf(refute_0_200,plain,
X_33 = join(meet(X_33,composition(converse(X0),complement(composition(X0,X_33)))),complement(complement(X_33))),
inference(resolve,[$cnf( $equal(X_33,join(meet(X_33,composition(converse(X0),complement(composition(X0,X_33)))),complement(join(complement(X_33),composition(converse(X0),complement(composition(X0,X_33))))))) )],[refute_0_191,refute_0_199]) ).
cnf(refute_0_201,plain,
join(meet(X_33,composition(converse(X0),complement(composition(X0,X_33)))),complement(complement(X_33))) = join(complement(complement(X_33)),meet(X_33,composition(converse(X0),complement(composition(X0,X_33))))),
inference(subst,[],[refute_0_6:[bind(X0,$fot(complement(complement(X_33)))),bind(X1,$fot(meet(X_33,composition(converse(X0),complement(composition(X0,X_33))))))]]) ).
cnf(refute_0_202,plain,
( X_33 != join(meet(X_33,composition(converse(X0),complement(composition(X0,X_33)))),complement(complement(X_33)))
| join(meet(X_33,composition(converse(X0),complement(composition(X0,X_33)))),complement(complement(X_33))) != join(complement(complement(X_33)),meet(X_33,composition(converse(X0),complement(composition(X0,X_33)))))
| X_33 = join(complement(complement(X_33)),meet(X_33,composition(converse(X0),complement(composition(X0,X_33))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_33,join(complement(complement(X_33)),meet(X_33,composition(converse(X0),complement(composition(X0,X_33)))))) ),[0],$fot(join(meet(X_33,composition(converse(X0),complement(composition(X0,X_33)))),complement(complement(X_33))))]]) ).
cnf(refute_0_203,plain,
( X_33 != join(meet(X_33,composition(converse(X0),complement(composition(X0,X_33)))),complement(complement(X_33)))
| X_33 = join(complement(complement(X_33)),meet(X_33,composition(converse(X0),complement(composition(X0,X_33))))) ),
inference(resolve,[$cnf( $equal(join(meet(X_33,composition(converse(X0),complement(composition(X0,X_33)))),complement(complement(X_33))),join(complement(complement(X_33)),meet(X_33,composition(converse(X0),complement(composition(X0,X_33)))))) )],[refute_0_201,refute_0_202]) ).
cnf(refute_0_204,plain,
X_33 = join(complement(complement(X_33)),meet(X_33,composition(converse(X0),complement(composition(X0,X_33))))),
inference(resolve,[$cnf( $equal(X_33,join(meet(X_33,composition(converse(X0),complement(composition(X0,X_33)))),complement(complement(X_33)))) )],[refute_0_200,refute_0_203]) ).
cnf(refute_0_205,plain,
join(complement(complement(X_33)),meet(X_33,composition(converse(X0),complement(composition(X0,X_33))))) = join(complement(complement(X_33)),meet(X_33,composition(converse(X0),complement(composition(X0,X_33))))),
introduced(tautology,[refl,[$fot(join(complement(complement(X_33)),meet(X_33,composition(converse(X0),complement(composition(X0,X_33))))))]]) ).
cnf(refute_0_206,plain,
( complement(complement(X_33)) != X_33
| join(complement(complement(X_33)),meet(X_33,composition(converse(X0),complement(composition(X0,X_33))))) != join(complement(complement(X_33)),meet(X_33,composition(converse(X0),complement(composition(X0,X_33)))))
| join(complement(complement(X_33)),meet(X_33,composition(converse(X0),complement(composition(X0,X_33))))) = join(X_33,meet(X_33,composition(converse(X0),complement(composition(X0,X_33))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(X_33)),meet(X_33,composition(converse(X0),complement(composition(X0,X_33))))),join(complement(complement(X_33)),meet(X_33,composition(converse(X0),complement(composition(X0,X_33)))))) ),[1,0],$fot(X_33)]]) ).
cnf(refute_0_207,plain,
( complement(complement(X_33)) != X_33
| join(complement(complement(X_33)),meet(X_33,composition(converse(X0),complement(composition(X0,X_33))))) = join(X_33,meet(X_33,composition(converse(X0),complement(composition(X0,X_33))))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(X_33)),meet(X_33,composition(converse(X0),complement(composition(X0,X_33))))),join(complement(complement(X_33)),meet(X_33,composition(converse(X0),complement(composition(X0,X_33)))))) )],[refute_0_205,refute_0_206]) ).
cnf(refute_0_208,plain,
join(complement(complement(X_33)),meet(X_33,composition(converse(X0),complement(composition(X0,X_33))))) = join(X_33,meet(X_33,composition(converse(X0),complement(composition(X0,X_33))))),
inference(resolve,[$cnf( $equal(complement(complement(X_33)),X_33) )],[refute_0_166,refute_0_207]) ).
cnf(refute_0_209,plain,
( X_33 != join(complement(complement(X_33)),meet(X_33,composition(converse(X0),complement(composition(X0,X_33)))))
| join(complement(complement(X_33)),meet(X_33,composition(converse(X0),complement(composition(X0,X_33))))) != join(X_33,meet(X_33,composition(converse(X0),complement(composition(X0,X_33)))))
| X_33 = join(X_33,meet(X_33,composition(converse(X0),complement(composition(X0,X_33))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_33,join(X_33,meet(X_33,composition(converse(X0),complement(composition(X0,X_33)))))) ),[0],$fot(join(complement(complement(X_33)),meet(X_33,composition(converse(X0),complement(composition(X0,X_33))))))]]) ).
cnf(refute_0_210,plain,
( X_33 != join(complement(complement(X_33)),meet(X_33,composition(converse(X0),complement(composition(X0,X_33)))))
| X_33 = join(X_33,meet(X_33,composition(converse(X0),complement(composition(X0,X_33))))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(X_33)),meet(X_33,composition(converse(X0),complement(composition(X0,X_33))))),join(X_33,meet(X_33,composition(converse(X0),complement(composition(X0,X_33)))))) )],[refute_0_208,refute_0_209]) ).
cnf(refute_0_211,plain,
X_33 = join(X_33,meet(X_33,composition(converse(X0),complement(composition(X0,X_33))))),
inference(resolve,[$cnf( $equal(X_33,join(complement(complement(X_33)),meet(X_33,composition(converse(X0),complement(composition(X0,X_33)))))) )],[refute_0_204,refute_0_210]) ).
cnf(refute_0_212,plain,
X_117 = join(X_117,meet(X_117,composition(converse(one),complement(composition(one,X_117))))),
inference(subst,[],[refute_0_211:[bind(X0,$fot(one)),bind(X_33,$fot(X_117))]]) ).
cnf(refute_0_213,plain,
converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(canonicalize,[],[normalize_0_19]) ).
cnf(refute_0_214,plain,
converse(composition(converse(X0),X_24)) = composition(converse(X_24),converse(converse(X0))),
inference(subst,[],[refute_0_213:[bind(X0,$fot(converse(X0))),bind(X1,$fot(X_24))]]) ).
cnf(refute_0_215,plain,
converse(converse(X0)) = X0,
inference(canonicalize,[],[normalize_0_21]) ).
cnf(refute_0_216,plain,
( converse(composition(converse(X0),X_24)) != composition(converse(X_24),converse(converse(X0)))
| converse(converse(X0)) != X0
| converse(composition(converse(X0),X_24)) = composition(converse(X_24),X0) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(X0),X_24)),composition(converse(X_24),converse(converse(X0)))) ),[1,1],$fot(X0)]]) ).
cnf(refute_0_217,plain,
( converse(composition(converse(X0),X_24)) != composition(converse(X_24),converse(converse(X0)))
| converse(composition(converse(X0),X_24)) = composition(converse(X_24),X0) ),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_0_215,refute_0_216]) ).
cnf(refute_0_218,plain,
converse(composition(converse(X0),X_24)) = composition(converse(X_24),X0),
inference(resolve,[$cnf( $equal(converse(composition(converse(X0),X_24)),composition(converse(X_24),converse(converse(X0)))) )],[refute_0_214,refute_0_217]) ).
cnf(refute_0_219,plain,
converse(composition(converse(X_25),one)) = composition(converse(one),X_25),
inference(subst,[],[refute_0_218:[bind(X0,$fot(X_25)),bind(X_24,$fot(one))]]) ).
cnf(refute_0_220,plain,
composition(X0,one) = X0,
inference(canonicalize,[],[normalize_0_23]) ).
cnf(refute_0_221,plain,
composition(converse(X_25),one) = converse(X_25),
inference(subst,[],[refute_0_220:[bind(X0,$fot(converse(X_25)))]]) ).
cnf(refute_0_222,plain,
( composition(converse(X_25),one) != converse(X_25)
| converse(composition(converse(X_25),one)) != composition(converse(one),X_25)
| converse(converse(X_25)) = composition(converse(one),X_25) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(X_25),one)),composition(converse(one),X_25)) ),[0,0],$fot(converse(X_25))]]) ).
cnf(refute_0_223,plain,
( converse(composition(converse(X_25),one)) != composition(converse(one),X_25)
| converse(converse(X_25)) = composition(converse(one),X_25) ),
inference(resolve,[$cnf( $equal(composition(converse(X_25),one),converse(X_25)) )],[refute_0_221,refute_0_222]) ).
cnf(refute_0_224,plain,
converse(converse(X_25)) = composition(converse(one),X_25),
inference(resolve,[$cnf( $equal(converse(composition(converse(X_25),one)),composition(converse(one),X_25)) )],[refute_0_219,refute_0_223]) ).
cnf(refute_0_225,plain,
converse(converse(X_25)) = X_25,
inference(subst,[],[refute_0_215:[bind(X0,$fot(X_25))]]) ).
cnf(refute_0_226,plain,
( converse(converse(X_25)) != X_25
| converse(converse(X_25)) != composition(converse(one),X_25)
| X_25 = composition(converse(one),X_25) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(X_25)),composition(converse(one),X_25)) ),[0],$fot(X_25)]]) ).
cnf(refute_0_227,plain,
( converse(converse(X_25)) != composition(converse(one),X_25)
| X_25 = composition(converse(one),X_25) ),
inference(resolve,[$cnf( $equal(converse(converse(X_25)),X_25) )],[refute_0_225,refute_0_226]) ).
cnf(refute_0_228,plain,
X_25 = composition(converse(one),X_25),
inference(resolve,[$cnf( $equal(converse(converse(X_25)),composition(converse(one),X_25)) )],[refute_0_224,refute_0_227]) ).
cnf(refute_0_229,plain,
composition(converse(one),one) = converse(one),
inference(subst,[],[refute_0_220:[bind(X0,$fot(converse(one)))]]) ).
cnf(refute_0_230,plain,
one = composition(converse(one),one),
inference(subst,[],[refute_0_228:[bind(X_25,$fot(one))]]) ).
cnf(refute_0_231,plain,
( one != composition(converse(one),one)
| composition(converse(one),one) = one ),
inference(subst,[],[refute_0_4:[bind(X,$fot(one)),bind(Y,$fot(composition(converse(one),one)))]]) ).
cnf(refute_0_232,plain,
composition(converse(one),one) = one,
inference(resolve,[$cnf( $equal(one,composition(converse(one),one)) )],[refute_0_230,refute_0_231]) ).
cnf(refute_0_233,plain,
( composition(converse(one),one) != converse(one)
| composition(converse(one),one) != one
| one = converse(one) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(one),one),converse(one)) ),[0],$fot(one)]]) ).
cnf(refute_0_234,plain,
( composition(converse(one),one) != converse(one)
| one = converse(one) ),
inference(resolve,[$cnf( $equal(composition(converse(one),one),one) )],[refute_0_232,refute_0_233]) ).
cnf(refute_0_235,plain,
one = converse(one),
inference(resolve,[$cnf( $equal(composition(converse(one),one),converse(one)) )],[refute_0_229,refute_0_234]) ).
cnf(refute_0_236,plain,
( one != converse(one)
| converse(one) = one ),
inference(subst,[],[refute_0_4:[bind(X,$fot(one)),bind(Y,$fot(converse(one)))]]) ).
cnf(refute_0_237,plain,
converse(one) = one,
inference(resolve,[$cnf( $equal(one,converse(one)) )],[refute_0_235,refute_0_236]) ).
cnf(refute_0_238,plain,
composition(converse(one),X_25) = composition(converse(one),X_25),
introduced(tautology,[refl,[$fot(composition(converse(one),X_25))]]) ).
cnf(refute_0_239,plain,
( composition(converse(one),X_25) != composition(converse(one),X_25)
| converse(one) != one
| composition(converse(one),X_25) = composition(one,X_25) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(one),X_25),composition(converse(one),X_25)) ),[1,0],$fot(one)]]) ).
cnf(refute_0_240,plain,
( converse(one) != one
| composition(converse(one),X_25) = composition(one,X_25) ),
inference(resolve,[$cnf( $equal(composition(converse(one),X_25),composition(converse(one),X_25)) )],[refute_0_238,refute_0_239]) ).
cnf(refute_0_241,plain,
composition(converse(one),X_25) = composition(one,X_25),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_237,refute_0_240]) ).
cnf(refute_0_242,plain,
( X_25 != composition(converse(one),X_25)
| composition(converse(one),X_25) != composition(one,X_25)
| X_25 = composition(one,X_25) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_25,composition(one,X_25)) ),[0],$fot(composition(converse(one),X_25))]]) ).
cnf(refute_0_243,plain,
( X_25 != composition(converse(one),X_25)
| X_25 = composition(one,X_25) ),
inference(resolve,[$cnf( $equal(composition(converse(one),X_25),composition(one,X_25)) )],[refute_0_241,refute_0_242]) ).
cnf(refute_0_244,plain,
X_25 = composition(one,X_25),
inference(resolve,[$cnf( $equal(X_25,composition(converse(one),X_25)) )],[refute_0_228,refute_0_243]) ).
cnf(refute_0_245,plain,
X_117 = composition(one,X_117),
inference(subst,[],[refute_0_244:[bind(X_25,$fot(X_117))]]) ).
cnf(refute_0_246,plain,
( X_117 != composition(one,X_117)
| composition(one,X_117) = X_117 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(X_117)),bind(Y,$fot(composition(one,X_117)))]]) ).
cnf(refute_0_247,plain,
composition(one,X_117) = X_117,
inference(resolve,[$cnf( $equal(X_117,composition(one,X_117)) )],[refute_0_245,refute_0_246]) ).
cnf(refute_0_248,plain,
( X_117 != join(X_117,meet(X_117,composition(converse(one),complement(composition(one,X_117)))))
| composition(one,X_117) != X_117
| X_117 = join(X_117,meet(X_117,composition(converse(one),complement(X_117)))) ),
introduced(tautology,[equality,[$cnf( $equal(X_117,join(X_117,meet(X_117,composition(converse(one),complement(composition(one,X_117)))))) ),[1,1,1,1,0],$fot(X_117)]]) ).
cnf(refute_0_249,plain,
( X_117 != join(X_117,meet(X_117,composition(converse(one),complement(composition(one,X_117)))))
| X_117 = join(X_117,meet(X_117,composition(converse(one),complement(X_117)))) ),
inference(resolve,[$cnf( $equal(composition(one,X_117),X_117) )],[refute_0_247,refute_0_248]) ).
cnf(refute_0_250,plain,
X_117 = join(X_117,meet(X_117,composition(converse(one),complement(X_117)))),
inference(resolve,[$cnf( $equal(X_117,join(X_117,meet(X_117,composition(converse(one),complement(composition(one,X_117)))))) )],[refute_0_212,refute_0_249]) ).
cnf(refute_0_251,plain,
( zero != meet(X0,complement(X0))
| meet(X0,complement(X0)) = zero ),
inference(subst,[],[refute_0_4:[bind(X,$fot(zero)),bind(Y,$fot(meet(X0,complement(X0))))]]) ).
cnf(refute_0_252,plain,
meet(X0,complement(X0)) = zero,
inference(resolve,[$cnf( $equal(zero,meet(X0,complement(X0))) )],[refute_0_73,refute_0_251]) ).
cnf(refute_0_253,plain,
meet(X_117,complement(X_117)) = zero,
inference(subst,[],[refute_0_252:[bind(X0,$fot(X_117))]]) ).
cnf(refute_0_254,plain,
( X_25 != composition(one,X_25)
| composition(one,X_25) = X_25 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(X_25)),bind(Y,$fot(composition(one,X_25)))]]) ).
cnf(refute_0_255,plain,
composition(one,X_25) = X_25,
inference(resolve,[$cnf( $equal(X_25,composition(one,X_25)) )],[refute_0_244,refute_0_254]) ).
cnf(refute_0_256,plain,
composition(one,complement(X_117)) = complement(X_117),
inference(subst,[],[refute_0_255:[bind(X_25,$fot(complement(X_117)))]]) ).
cnf(refute_0_257,plain,
composition(converse(one),complement(X_117)) = composition(converse(one),complement(X_117)),
introduced(tautology,[refl,[$fot(composition(converse(one),complement(X_117)))]]) ).
cnf(refute_0_258,plain,
( composition(converse(one),complement(X_117)) != composition(converse(one),complement(X_117))
| converse(one) != one
| composition(converse(one),complement(X_117)) = composition(one,complement(X_117)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(one),complement(X_117)),composition(converse(one),complement(X_117))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_259,plain,
( converse(one) != one
| composition(converse(one),complement(X_117)) = composition(one,complement(X_117)) ),
inference(resolve,[$cnf( $equal(composition(converse(one),complement(X_117)),composition(converse(one),complement(X_117))) )],[refute_0_257,refute_0_258]) ).
cnf(refute_0_260,plain,
composition(converse(one),complement(X_117)) = composition(one,complement(X_117)),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_237,refute_0_259]) ).
cnf(refute_0_261,plain,
( composition(converse(one),complement(X_117)) != composition(one,complement(X_117))
| composition(one,complement(X_117)) != complement(X_117)
| composition(converse(one),complement(X_117)) = complement(X_117) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(composition(converse(one),complement(X_117)))),bind(Y,$fot(composition(one,complement(X_117)))),bind(Z,$fot(complement(X_117)))]]) ).
cnf(refute_0_262,plain,
( composition(one,complement(X_117)) != complement(X_117)
| composition(converse(one),complement(X_117)) = complement(X_117) ),
inference(resolve,[$cnf( $equal(composition(converse(one),complement(X_117)),composition(one,complement(X_117))) )],[refute_0_260,refute_0_261]) ).
cnf(refute_0_263,plain,
composition(converse(one),complement(X_117)) = complement(X_117),
inference(resolve,[$cnf( $equal(composition(one,complement(X_117)),complement(X_117)) )],[refute_0_256,refute_0_262]) ).
cnf(refute_0_264,plain,
meet(X_117,composition(converse(one),complement(X_117))) = meet(X_117,composition(converse(one),complement(X_117))),
introduced(tautology,[refl,[$fot(meet(X_117,composition(converse(one),complement(X_117))))]]) ).
cnf(refute_0_265,plain,
( composition(converse(one),complement(X_117)) != complement(X_117)
| meet(X_117,composition(converse(one),complement(X_117))) != meet(X_117,composition(converse(one),complement(X_117)))
| meet(X_117,composition(converse(one),complement(X_117))) = meet(X_117,complement(X_117)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_117,composition(converse(one),complement(X_117))),meet(X_117,composition(converse(one),complement(X_117)))) ),[1,1],$fot(complement(X_117))]]) ).
cnf(refute_0_266,plain,
( composition(converse(one),complement(X_117)) != complement(X_117)
| meet(X_117,composition(converse(one),complement(X_117))) = meet(X_117,complement(X_117)) ),
inference(resolve,[$cnf( $equal(meet(X_117,composition(converse(one),complement(X_117))),meet(X_117,composition(converse(one),complement(X_117)))) )],[refute_0_264,refute_0_265]) ).
cnf(refute_0_267,plain,
meet(X_117,composition(converse(one),complement(X_117))) = meet(X_117,complement(X_117)),
inference(resolve,[$cnf( $equal(composition(converse(one),complement(X_117)),complement(X_117)) )],[refute_0_263,refute_0_266]) ).
cnf(refute_0_268,plain,
( meet(X_117,complement(X_117)) != zero
| meet(X_117,composition(converse(one),complement(X_117))) != meet(X_117,complement(X_117))
| meet(X_117,composition(converse(one),complement(X_117))) = zero ),
inference(subst,[],[refute_0_17:[bind(X,$fot(meet(X_117,composition(converse(one),complement(X_117))))),bind(Y,$fot(meet(X_117,complement(X_117)))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_269,plain,
( meet(X_117,complement(X_117)) != zero
| meet(X_117,composition(converse(one),complement(X_117))) = zero ),
inference(resolve,[$cnf( $equal(meet(X_117,composition(converse(one),complement(X_117))),meet(X_117,complement(X_117))) )],[refute_0_267,refute_0_268]) ).
cnf(refute_0_270,plain,
meet(X_117,composition(converse(one),complement(X_117))) = zero,
inference(resolve,[$cnf( $equal(meet(X_117,complement(X_117)),zero) )],[refute_0_253,refute_0_269]) ).
cnf(refute_0_271,plain,
join(X_117,meet(X_117,composition(converse(one),complement(X_117)))) = join(X_117,meet(X_117,composition(converse(one),complement(X_117)))),
introduced(tautology,[refl,[$fot(join(X_117,meet(X_117,composition(converse(one),complement(X_117)))))]]) ).
cnf(refute_0_272,plain,
( join(X_117,meet(X_117,composition(converse(one),complement(X_117)))) != join(X_117,meet(X_117,composition(converse(one),complement(X_117))))
| meet(X_117,composition(converse(one),complement(X_117))) != zero
| join(X_117,meet(X_117,composition(converse(one),complement(X_117)))) = join(X_117,zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_117,meet(X_117,composition(converse(one),complement(X_117)))),join(X_117,meet(X_117,composition(converse(one),complement(X_117))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_273,plain,
( meet(X_117,composition(converse(one),complement(X_117))) != zero
| join(X_117,meet(X_117,composition(converse(one),complement(X_117)))) = join(X_117,zero) ),
inference(resolve,[$cnf( $equal(join(X_117,meet(X_117,composition(converse(one),complement(X_117)))),join(X_117,meet(X_117,composition(converse(one),complement(X_117))))) )],[refute_0_271,refute_0_272]) ).
cnf(refute_0_274,plain,
join(X_117,meet(X_117,composition(converse(one),complement(X_117)))) = join(X_117,zero),
inference(resolve,[$cnf( $equal(meet(X_117,composition(converse(one),complement(X_117))),zero) )],[refute_0_270,refute_0_273]) ).
cnf(refute_0_275,plain,
( X_117 != join(X_117,meet(X_117,composition(converse(one),complement(X_117))))
| join(X_117,meet(X_117,composition(converse(one),complement(X_117)))) != join(X_117,zero)
| X_117 = join(X_117,zero) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_117,join(X_117,zero)) ),[0],$fot(join(X_117,meet(X_117,composition(converse(one),complement(X_117)))))]]) ).
cnf(refute_0_276,plain,
( X_117 != join(X_117,meet(X_117,composition(converse(one),complement(X_117))))
| X_117 = join(X_117,zero) ),
inference(resolve,[$cnf( $equal(join(X_117,meet(X_117,composition(converse(one),complement(X_117)))),join(X_117,zero)) )],[refute_0_274,refute_0_275]) ).
cnf(refute_0_277,plain,
X_117 = join(X_117,zero),
inference(resolve,[$cnf( $equal(X_117,join(X_117,meet(X_117,composition(converse(one),complement(X_117))))) )],[refute_0_250,refute_0_276]) ).
cnf(refute_0_278,plain,
X1 = join(X1,zero),
inference(subst,[],[refute_0_277:[bind(X_117,$fot(X1))]]) ).
cnf(refute_0_279,plain,
( X1 != join(X1,zero)
| join(X1,zero) = X1 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(X1)),bind(Y,$fot(join(X1,zero)))]]) ).
cnf(refute_0_280,plain,
join(X1,zero) = X1,
inference(resolve,[$cnf( $equal(X1,join(X1,zero)) )],[refute_0_278,refute_0_279]) ).
cnf(refute_0_281,plain,
( join(X1,zero) != X1
| join(zero,X1) != join(X1,zero)
| join(zero,X1) = X1 ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,X1),join(X1,zero)) ),[1],$fot(X1)]]) ).
cnf(refute_0_282,plain,
( join(zero,X1) != join(X1,zero)
| join(zero,X1) = X1 ),
inference(resolve,[$cnf( $equal(join(X1,zero),X1) )],[refute_0_280,refute_0_281]) ).
cnf(refute_0_283,plain,
join(zero,X1) = X1,
inference(resolve,[$cnf( $equal(join(zero,X1),join(X1,zero)) )],[refute_0_190,refute_0_282]) ).
cnf(refute_0_284,plain,
join(zero,meet(X_33,join(X_33,X_84))) = meet(X_33,join(X_33,X_84)),
inference(subst,[],[refute_0_283:[bind(X1,$fot(meet(X_33,join(X_33,X_84))))]]) ).
cnf(refute_0_285,plain,
join(join(top,X_100),join(complement(join(top,X_100)),meet(zero,join(X_100,top)))) = join(top,meet(zero,join(X_100,top))),
inference(subst,[],[refute_0_161:[bind(X_75,$fot(join(top,X_100))),bind(X_77,$fot(meet(zero,join(X_100,top))))]]) ).
cnf(refute_0_286,plain,
zero = join(meet(zero,X1),complement(join(complement(zero),X1))),
inference(subst,[],[refute_0_42:[bind(X0,$fot(zero))]]) ).
cnf(refute_0_287,plain,
X_40 = join(meet(X_40,top),meet(X_40,complement(top))),
inference(subst,[],[refute_0_53:[bind(X1,$fot(top)),bind(X_33,$fot(X_40))]]) ).
cnf(refute_0_288,plain,
( X_40 != join(meet(X_40,top),meet(X_40,complement(top)))
| complement(top) != zero
| X_40 = join(meet(X_40,top),meet(X_40,zero)) ),
introduced(tautology,[equality,[$cnf( $equal(X_40,join(meet(X_40,top),meet(X_40,complement(top)))) ),[1,1,1],$fot(zero)]]) ).
cnf(refute_0_289,plain,
( X_40 != join(meet(X_40,top),meet(X_40,complement(top)))
| X_40 = join(meet(X_40,top),meet(X_40,zero)) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_113,refute_0_288]) ).
cnf(refute_0_290,plain,
X_40 = join(meet(X_40,top),meet(X_40,zero)),
inference(resolve,[$cnf( $equal(X_40,join(meet(X_40,top),meet(X_40,complement(top)))) )],[refute_0_287,refute_0_289]) ).
cnf(refute_0_291,plain,
X_41 = join(meet(X_41,top),meet(X_41,zero)),
inference(subst,[],[refute_0_290:[bind(X_40,$fot(X_41))]]) ).
cnf(refute_0_292,plain,
meet(zero,X_41) = meet(X_41,zero),
inference(subst,[],[refute_0_65:[bind(X_6,$fot(zero)),bind(X_7,$fot(X_41))]]) ).
cnf(refute_0_293,plain,
( meet(zero,X_41) != meet(X_41,zero)
| meet(X_41,zero) = meet(zero,X_41) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(meet(zero,X_41))),bind(Y,$fot(meet(X_41,zero)))]]) ).
cnf(refute_0_294,plain,
meet(X_41,zero) = meet(zero,X_41),
inference(resolve,[$cnf( $equal(meet(zero,X_41),meet(X_41,zero)) )],[refute_0_292,refute_0_293]) ).
cnf(refute_0_295,plain,
( X_41 != join(meet(X_41,top),meet(X_41,zero))
| meet(X_41,zero) != meet(zero,X_41)
| X_41 = join(meet(X_41,top),meet(zero,X_41)) ),
introduced(tautology,[equality,[$cnf( $equal(X_41,join(meet(X_41,top),meet(X_41,zero))) ),[1,1],$fot(meet(zero,X_41))]]) ).
cnf(refute_0_296,plain,
( X_41 != join(meet(X_41,top),meet(X_41,zero))
| X_41 = join(meet(X_41,top),meet(zero,X_41)) ),
inference(resolve,[$cnf( $equal(meet(X_41,zero),meet(zero,X_41)) )],[refute_0_294,refute_0_295]) ).
cnf(refute_0_297,plain,
X_41 = join(meet(X_41,top),meet(zero,X_41)),
inference(resolve,[$cnf( $equal(X_41,join(meet(X_41,top),meet(X_41,zero))) )],[refute_0_291,refute_0_296]) ).
cnf(refute_0_298,plain,
complement(zero) = join(meet(complement(zero),top),meet(zero,complement(zero))),
inference(subst,[],[refute_0_297:[bind(X_41,$fot(complement(zero)))]]) ).
cnf(refute_0_299,plain,
zero = meet(zero,complement(zero)),
inference(subst,[],[refute_0_73:[bind(X0,$fot(zero))]]) ).
cnf(refute_0_300,plain,
( zero != meet(zero,complement(zero))
| meet(zero,complement(zero)) = zero ),
inference(subst,[],[refute_0_4:[bind(X,$fot(zero)),bind(Y,$fot(meet(zero,complement(zero))))]]) ).
cnf(refute_0_301,plain,
meet(zero,complement(zero)) = zero,
inference(resolve,[$cnf( $equal(zero,meet(zero,complement(zero))) )],[refute_0_299,refute_0_300]) ).
cnf(refute_0_302,plain,
( complement(zero) != join(meet(complement(zero),top),meet(zero,complement(zero)))
| meet(zero,complement(zero)) != zero
| complement(zero) = join(meet(complement(zero),top),zero) ),
introduced(tautology,[equality,[$cnf( $equal(complement(zero),join(meet(complement(zero),top),meet(zero,complement(zero)))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_303,plain,
( complement(zero) != join(meet(complement(zero),top),meet(zero,complement(zero)))
| complement(zero) = join(meet(complement(zero),top),zero) ),
inference(resolve,[$cnf( $equal(meet(zero,complement(zero)),zero) )],[refute_0_301,refute_0_302]) ).
cnf(refute_0_304,plain,
complement(zero) = join(meet(complement(zero),top),zero),
inference(resolve,[$cnf( $equal(complement(zero),join(meet(complement(zero),top),meet(zero,complement(zero)))) )],[refute_0_298,refute_0_303]) ).
cnf(refute_0_305,plain,
top = join(zero,meet(top,complement(complement(top)))),
inference(subst,[],[refute_0_124:[bind(X_33,$fot(top))]]) ).
cnf(refute_0_306,plain,
( complement(top) != zero
| top != join(zero,meet(top,complement(complement(top))))
| top = join(zero,meet(top,complement(zero))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(zero,meet(top,complement(complement(top))))) ),[1,1,1,0],$fot(zero)]]) ).
cnf(refute_0_307,plain,
( top != join(zero,meet(top,complement(complement(top))))
| top = join(zero,meet(top,complement(zero))) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_113,refute_0_306]) ).
cnf(refute_0_308,plain,
top = join(zero,meet(top,complement(zero))),
inference(resolve,[$cnf( $equal(top,join(zero,meet(top,complement(complement(top))))) )],[refute_0_305,refute_0_307]) ).
cnf(refute_0_309,plain,
( top != join(zero,meet(top,complement(zero)))
| join(zero,meet(top,complement(zero))) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(zero,meet(top,complement(zero)))))]]) ).
cnf(refute_0_310,plain,
join(zero,meet(top,complement(zero))) = top,
inference(resolve,[$cnf( $equal(top,join(zero,meet(top,complement(zero)))) )],[refute_0_308,refute_0_309]) ).
cnf(refute_0_311,plain,
meet(X0,top) = complement(join(complement(X0),complement(top))),
inference(subst,[],[refute_0_30:[bind(X1,$fot(top))]]) ).
cnf(refute_0_312,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_313,plain,
( meet(X0,top) != complement(join(complement(X0),complement(top)))
| meet(X0,top) = complement(join(complement(X0),zero)) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_113,refute_0_312]) ).
cnf(refute_0_314,plain,
meet(X0,top) = complement(join(complement(X0),zero)),
inference(resolve,[$cnf( $equal(meet(X0,top),complement(join(complement(X0),complement(top)))) )],[refute_0_311,refute_0_313]) ).
cnf(refute_0_315,plain,
meet(top,X1) = complement(join(complement(top),complement(X1))),
inference(subst,[],[refute_0_30:[bind(X0,$fot(top))]]) ).
cnf(refute_0_316,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_317,plain,
( meet(top,X1) != complement(join(complement(top),complement(X1)))
| meet(top,X1) = complement(join(zero,complement(X1))) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_113,refute_0_316]) ).
cnf(refute_0_318,plain,
meet(top,X1) = complement(join(zero,complement(X1))),
inference(resolve,[$cnf( $equal(meet(top,X1),complement(join(complement(top),complement(X1)))) )],[refute_0_315,refute_0_317]) ).
cnf(refute_0_319,plain,
( meet(top,X1) != complement(join(zero,complement(X1)))
| complement(join(zero,complement(X1))) = meet(top,X1) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(meet(top,X1))),bind(Y,$fot(complement(join(zero,complement(X1)))))]]) ).
cnf(refute_0_320,plain,
complement(join(zero,complement(X1))) = meet(top,X1),
inference(resolve,[$cnf( $equal(meet(top,X1),complement(join(zero,complement(X1)))) )],[refute_0_318,refute_0_319]) ).
cnf(refute_0_321,plain,
complement(join(zero,complement(X0))) = meet(top,X0),
inference(subst,[],[refute_0_320:[bind(X1,$fot(X0))]]) ).
cnf(refute_0_322,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_323,plain,
complement(join(complement(X0),zero)) = complement(join(complement(X0),zero)),
introduced(tautology,[refl,[$fot(complement(join(complement(X0),zero)))]]) ).
cnf(refute_0_324,plain,
( complement(join(complement(X0),zero)) != complement(join(complement(X0),zero))
| join(complement(X0),zero) != join(zero,complement(X0))
| complement(join(complement(X0),zero)) = complement(join(zero,complement(X0))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(X0),zero)),complement(join(complement(X0),zero))) ),[1,0],$fot(join(zero,complement(X0)))]]) ).
cnf(refute_0_325,plain,
( join(complement(X0),zero) != join(zero,complement(X0))
| complement(join(complement(X0),zero)) = complement(join(zero,complement(X0))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X0),zero)),complement(join(complement(X0),zero))) )],[refute_0_323,refute_0_324]) ).
cnf(refute_0_326,plain,
complement(join(complement(X0),zero)) = complement(join(zero,complement(X0))),
inference(resolve,[$cnf( $equal(join(complement(X0),zero),join(zero,complement(X0))) )],[refute_0_322,refute_0_325]) ).
cnf(refute_0_327,plain,
( complement(join(complement(X0),zero)) != complement(join(zero,complement(X0)))
| complement(join(zero,complement(X0))) != meet(top,X0)
| complement(join(complement(X0),zero)) = meet(top,X0) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(complement(join(complement(X0),zero)))),bind(Y,$fot(complement(join(zero,complement(X0))))),bind(Z,$fot(meet(top,X0)))]]) ).
cnf(refute_0_328,plain,
( complement(join(zero,complement(X0))) != meet(top,X0)
| complement(join(complement(X0),zero)) = meet(top,X0) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X0),zero)),complement(join(zero,complement(X0)))) )],[refute_0_326,refute_0_327]) ).
cnf(refute_0_329,plain,
complement(join(complement(X0),zero)) = meet(top,X0),
inference(resolve,[$cnf( $equal(complement(join(zero,complement(X0))),meet(top,X0)) )],[refute_0_321,refute_0_328]) ).
cnf(refute_0_330,plain,
( complement(join(complement(X0),zero)) != meet(top,X0)
| meet(X0,top) != complement(join(complement(X0),zero))
| meet(X0,top) = meet(top,X0) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X0,top),complement(join(complement(X0),zero))) ),[1],$fot(meet(top,X0))]]) ).
cnf(refute_0_331,plain,
( meet(X0,top) != complement(join(complement(X0),zero))
| meet(X0,top) = meet(top,X0) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X0),zero)),meet(top,X0)) )],[refute_0_329,refute_0_330]) ).
cnf(refute_0_332,plain,
meet(X0,top) = meet(top,X0),
inference(resolve,[$cnf( $equal(meet(X0,top),complement(join(complement(X0),zero))) )],[refute_0_314,refute_0_331]) ).
cnf(refute_0_333,plain,
meet(complement(zero),top) = meet(top,complement(zero)),
inference(subst,[],[refute_0_332:[bind(X0,$fot(complement(zero)))]]) ).
cnf(refute_0_334,plain,
join(zero,meet(complement(zero),top)) = join(zero,meet(complement(zero),top)),
introduced(tautology,[refl,[$fot(join(zero,meet(complement(zero),top)))]]) ).
cnf(refute_0_335,plain,
( join(zero,meet(complement(zero),top)) != join(zero,meet(complement(zero),top))
| meet(complement(zero),top) != meet(top,complement(zero))
| join(zero,meet(complement(zero),top)) = join(zero,meet(top,complement(zero))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(complement(zero),top)),join(zero,meet(complement(zero),top))) ),[1,1],$fot(meet(top,complement(zero)))]]) ).
cnf(refute_0_336,plain,
( meet(complement(zero),top) != meet(top,complement(zero))
| join(zero,meet(complement(zero),top)) = join(zero,meet(top,complement(zero))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(zero),top)),join(zero,meet(complement(zero),top))) )],[refute_0_334,refute_0_335]) ).
cnf(refute_0_337,plain,
join(zero,meet(complement(zero),top)) = join(zero,meet(top,complement(zero))),
inference(resolve,[$cnf( $equal(meet(complement(zero),top),meet(top,complement(zero))) )],[refute_0_333,refute_0_336]) ).
cnf(refute_0_338,plain,
( join(zero,meet(complement(zero),top)) != join(zero,meet(top,complement(zero)))
| join(zero,meet(top,complement(zero))) != top
| join(zero,meet(complement(zero),top)) = top ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(zero,meet(complement(zero),top)))),bind(Y,$fot(join(zero,meet(top,complement(zero))))),bind(Z,$fot(top))]]) ).
cnf(refute_0_339,plain,
( join(zero,meet(top,complement(zero))) != top
| join(zero,meet(complement(zero),top)) = top ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(zero),top)),join(zero,meet(top,complement(zero)))) )],[refute_0_337,refute_0_338]) ).
cnf(refute_0_340,plain,
join(zero,meet(complement(zero),top)) = top,
inference(resolve,[$cnf( $equal(join(zero,meet(top,complement(zero))),top) )],[refute_0_310,refute_0_339]) ).
cnf(refute_0_341,plain,
join(meet(complement(zero),top),zero) = join(zero,meet(complement(zero),top)),
inference(subst,[],[refute_0_6:[bind(X0,$fot(zero)),bind(X1,$fot(meet(complement(zero),top)))]]) ).
cnf(refute_0_342,plain,
( join(meet(complement(zero),top),zero) != join(zero,meet(complement(zero),top))
| join(zero,meet(complement(zero),top)) != top
| join(meet(complement(zero),top),zero) = top ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(meet(complement(zero),top),zero))),bind(Y,$fot(join(zero,meet(complement(zero),top)))),bind(Z,$fot(top))]]) ).
cnf(refute_0_343,plain,
( join(zero,meet(complement(zero),top)) != top
| join(meet(complement(zero),top),zero) = top ),
inference(resolve,[$cnf( $equal(join(meet(complement(zero),top),zero),join(zero,meet(complement(zero),top))) )],[refute_0_341,refute_0_342]) ).
cnf(refute_0_344,plain,
join(meet(complement(zero),top),zero) = top,
inference(resolve,[$cnf( $equal(join(zero,meet(complement(zero),top)),top) )],[refute_0_340,refute_0_343]) ).
cnf(refute_0_345,plain,
( complement(zero) != join(meet(complement(zero),top),zero)
| join(meet(complement(zero),top),zero) != top
| complement(zero) = top ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(zero),top) ),[0],$fot(join(meet(complement(zero),top),zero))]]) ).
cnf(refute_0_346,plain,
( complement(zero) != join(meet(complement(zero),top),zero)
| complement(zero) = top ),
inference(resolve,[$cnf( $equal(join(meet(complement(zero),top),zero),top) )],[refute_0_344,refute_0_345]) ).
cnf(refute_0_347,plain,
complement(zero) = top,
inference(resolve,[$cnf( $equal(complement(zero),join(meet(complement(zero),top),zero)) )],[refute_0_304,refute_0_346]) ).
cnf(refute_0_348,plain,
( complement(zero) != top
| zero != join(meet(zero,X1),complement(join(complement(zero),X1)))
| zero = join(meet(zero,X1),complement(join(top,X1))) ),
introduced(tautology,[equality,[$cnf( $equal(zero,join(meet(zero,X1),complement(join(complement(zero),X1)))) ),[1,1,0,0],$fot(top)]]) ).
cnf(refute_0_349,plain,
( zero != join(meet(zero,X1),complement(join(complement(zero),X1)))
| zero = join(meet(zero,X1),complement(join(top,X1))) ),
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_347,refute_0_348]) ).
cnf(refute_0_350,plain,
zero = join(meet(zero,X1),complement(join(top,X1))),
inference(resolve,[$cnf( $equal(zero,join(meet(zero,X1),complement(join(complement(zero),X1)))) )],[refute_0_286,refute_0_349]) ).
cnf(refute_0_351,plain,
zero = join(meet(zero,join(X_80,top)),complement(join(top,join(X_80,top)))),
inference(subst,[],[refute_0_350:[bind(X1,$fot(join(X_80,top)))]]) ).
cnf(refute_0_352,plain,
join(join(top,X_78),top) = join(top,join(top,X_78)),
inference(subst,[],[refute_0_1:[bind(X0,$fot(join(top,X_78))),bind(X1,$fot(top))]]) ).
cnf(refute_0_353,plain,
join(top,join(top,X_77)) = join(join(top,top),X_77),
inference(subst,[],[refute_0_154:[bind(X0,$fot(top)),bind(X1,$fot(top)),bind(X2,$fot(X_77))]]) ).
cnf(refute_0_354,plain,
join(X_34,complement(X_33)) = join(complement(X_33),X_34),
inference(subst,[],[refute_0_1:[bind(X0,$fot(X_34)),bind(X1,$fot(complement(X_33)))]]) ).
cnf(refute_0_355,plain,
( join(X_34,complement(X_33)) != join(complement(X_33),X_34)
| join(complement(X_33),X_34) = join(X_34,complement(X_33)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(X_34,complement(X_33)))),bind(Y,$fot(join(complement(X_33),X_34)))]]) ).
cnf(refute_0_356,plain,
join(complement(X_33),X_34) = join(X_34,complement(X_33)),
inference(resolve,[$cnf( $equal(join(X_34,complement(X_33)),join(complement(X_33),X_34)) )],[refute_0_354,refute_0_355]) ).
cnf(refute_0_357,plain,
( X_33 != join(meet(X_33,X_34),complement(join(complement(X_33),X_34)))
| join(complement(X_33),X_34) != join(X_34,complement(X_33))
| X_33 = join(meet(X_33,X_34),complement(join(X_34,complement(X_33)))) ),
introduced(tautology,[equality,[$cnf( $equal(X_33,join(meet(X_33,X_34),complement(join(complement(X_33),X_34)))) ),[1,1,0],$fot(join(X_34,complement(X_33)))]]) ).
cnf(refute_0_358,plain,
( X_33 != join(meet(X_33,X_34),complement(join(complement(X_33),X_34)))
| X_33 = join(meet(X_33,X_34),complement(join(X_34,complement(X_33)))) ),
inference(resolve,[$cnf( $equal(join(complement(X_33),X_34),join(X_34,complement(X_33))) )],[refute_0_356,refute_0_357]) ).
cnf(refute_0_359,plain,
X_33 = join(meet(X_33,X_34),complement(join(X_34,complement(X_33)))),
inference(resolve,[$cnf( $equal(X_33,join(meet(X_33,X_34),complement(join(complement(X_33),X_34)))) )],[refute_0_146,refute_0_358]) ).
cnf(refute_0_360,plain,
join(top,top) = join(meet(join(top,top),top),complement(join(top,complement(join(top,top))))),
inference(subst,[],[refute_0_359:[bind(X_33,$fot(join(top,top))),bind(X_34,$fot(top))]]) ).
cnf(refute_0_361,plain,
top = join(meet(top,join(top,top)),complement(join(join(top,top),complement(top)))),
inference(subst,[],[refute_0_359:[bind(X_33,$fot(top)),bind(X_34,$fot(join(top,top)))]]) ).
cnf(refute_0_362,plain,
meet(top,join(top,top)) = complement(join(zero,complement(join(top,top)))),
inference(subst,[],[refute_0_318:[bind(X1,$fot(join(top,top)))]]) ).
cnf(refute_0_363,plain,
zero = join(meet(zero,X_49),complement(join(X_49,complement(zero)))),
inference(subst,[],[refute_0_359:[bind(X_33,$fot(zero)),bind(X_34,$fot(X_49))]]) ).
cnf(refute_0_364,plain,
( complement(zero) != top
| zero != join(meet(zero,X_49),complement(join(X_49,complement(zero))))
| zero = join(meet(zero,X_49),complement(join(X_49,top))) ),
introduced(tautology,[equality,[$cnf( $equal(zero,join(meet(zero,X_49),complement(join(X_49,complement(zero))))) ),[1,1,0,1],$fot(top)]]) ).
cnf(refute_0_365,plain,
( zero != join(meet(zero,X_49),complement(join(X_49,complement(zero))))
| zero = join(meet(zero,X_49),complement(join(X_49,top))) ),
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_347,refute_0_364]) ).
cnf(refute_0_366,plain,
zero = join(meet(zero,X_49),complement(join(X_49,top))),
inference(resolve,[$cnf( $equal(zero,join(meet(zero,X_49),complement(join(X_49,complement(zero))))) )],[refute_0_363,refute_0_365]) ).
cnf(refute_0_367,plain,
zero = join(meet(zero,complement(zero)),complement(join(complement(zero),top))),
inference(subst,[],[refute_0_366:[bind(X_49,$fot(complement(zero)))]]) ).
cnf(refute_0_368,plain,
( meet(zero,complement(zero)) != zero
| zero != join(meet(zero,complement(zero)),complement(join(complement(zero),top)))
| zero = join(zero,complement(join(complement(zero),top))) ),
introduced(tautology,[equality,[$cnf( $equal(zero,join(meet(zero,complement(zero)),complement(join(complement(zero),top)))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_369,plain,
( zero != join(meet(zero,complement(zero)),complement(join(complement(zero),top)))
| zero = join(zero,complement(join(complement(zero),top))) ),
inference(resolve,[$cnf( $equal(meet(zero,complement(zero)),zero) )],[refute_0_301,refute_0_368]) ).
cnf(refute_0_370,plain,
zero = join(zero,complement(join(complement(zero),top))),
inference(resolve,[$cnf( $equal(zero,join(meet(zero,complement(zero)),complement(join(complement(zero),top)))) )],[refute_0_367,refute_0_369]) ).
cnf(refute_0_371,plain,
join(top,complement(zero)) = join(top,complement(zero)),
introduced(tautology,[refl,[$fot(join(top,complement(zero)))]]) ).
cnf(refute_0_372,plain,
( complement(zero) != top
| join(top,complement(zero)) != join(top,complement(zero))
| join(top,complement(zero)) = join(top,top) ),
introduced(tautology,[equality,[$cnf( $equal(join(top,complement(zero)),join(top,complement(zero))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_373,plain,
( complement(zero) != top
| join(top,complement(zero)) = join(top,top) ),
inference(resolve,[$cnf( $equal(join(top,complement(zero)),join(top,complement(zero))) )],[refute_0_371,refute_0_372]) ).
cnf(refute_0_374,plain,
join(top,complement(zero)) = join(top,top),
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_347,refute_0_373]) ).
cnf(refute_0_375,plain,
join(complement(zero),top) = join(top,complement(zero)),
inference(subst,[],[refute_0_6:[bind(X0,$fot(top)),bind(X1,$fot(complement(zero)))]]) ).
cnf(refute_0_376,plain,
( join(complement(zero),top) != join(top,complement(zero))
| join(top,complement(zero)) != join(top,top)
| join(complement(zero),top) = join(top,top) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(complement(zero),top))),bind(Y,$fot(join(top,complement(zero)))),bind(Z,$fot(join(top,top)))]]) ).
cnf(refute_0_377,plain,
( join(top,complement(zero)) != join(top,top)
| join(complement(zero),top) = join(top,top) ),
inference(resolve,[$cnf( $equal(join(complement(zero),top),join(top,complement(zero))) )],[refute_0_375,refute_0_376]) ).
cnf(refute_0_378,plain,
join(complement(zero),top) = join(top,top),
inference(resolve,[$cnf( $equal(join(top,complement(zero)),join(top,top)) )],[refute_0_374,refute_0_377]) ).
cnf(refute_0_379,plain,
complement(join(complement(zero),top)) = complement(join(complement(zero),top)),
introduced(tautology,[refl,[$fot(complement(join(complement(zero),top)))]]) ).
cnf(refute_0_380,plain,
( complement(join(complement(zero),top)) != complement(join(complement(zero),top))
| join(complement(zero),top) != join(top,top)
| complement(join(complement(zero),top)) = complement(join(top,top)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(zero),top)),complement(join(complement(zero),top))) ),[1,0],$fot(join(top,top))]]) ).
cnf(refute_0_381,plain,
( join(complement(zero),top) != join(top,top)
| complement(join(complement(zero),top)) = complement(join(top,top)) ),
inference(resolve,[$cnf( $equal(complement(join(complement(zero),top)),complement(join(complement(zero),top))) )],[refute_0_379,refute_0_380]) ).
cnf(refute_0_382,plain,
complement(join(complement(zero),top)) = complement(join(top,top)),
inference(resolve,[$cnf( $equal(join(complement(zero),top),join(top,top)) )],[refute_0_378,refute_0_381]) ).
cnf(refute_0_383,plain,
join(zero,complement(join(complement(zero),top))) = join(zero,complement(join(complement(zero),top))),
introduced(tautology,[refl,[$fot(join(zero,complement(join(complement(zero),top))))]]) ).
cnf(refute_0_384,plain,
( complement(join(complement(zero),top)) != complement(join(top,top))
| join(zero,complement(join(complement(zero),top))) != join(zero,complement(join(complement(zero),top)))
| join(zero,complement(join(complement(zero),top))) = join(zero,complement(join(top,top))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,complement(join(complement(zero),top))),join(zero,complement(join(complement(zero),top)))) ),[1,1],$fot(complement(join(top,top)))]]) ).
cnf(refute_0_385,plain,
( complement(join(complement(zero),top)) != complement(join(top,top))
| join(zero,complement(join(complement(zero),top))) = join(zero,complement(join(top,top))) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(complement(zero),top))),join(zero,complement(join(complement(zero),top)))) )],[refute_0_383,refute_0_384]) ).
cnf(refute_0_386,plain,
join(zero,complement(join(complement(zero),top))) = join(zero,complement(join(top,top))),
inference(resolve,[$cnf( $equal(complement(join(complement(zero),top)),complement(join(top,top))) )],[refute_0_382,refute_0_385]) ).
cnf(refute_0_387,plain,
( join(zero,complement(join(complement(zero),top))) != join(zero,complement(join(top,top)))
| zero != join(zero,complement(join(complement(zero),top)))
| zero = join(zero,complement(join(top,top))) ),
introduced(tautology,[equality,[$cnf( $equal(zero,join(zero,complement(join(complement(zero),top)))) ),[1],$fot(join(zero,complement(join(top,top))))]]) ).
cnf(refute_0_388,plain,
( zero != join(zero,complement(join(complement(zero),top)))
| zero = join(zero,complement(join(top,top))) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(complement(zero),top))),join(zero,complement(join(top,top)))) )],[refute_0_386,refute_0_387]) ).
cnf(refute_0_389,plain,
zero = join(zero,complement(join(top,top))),
inference(resolve,[$cnf( $equal(zero,join(zero,complement(join(complement(zero),top)))) )],[refute_0_370,refute_0_388]) ).
cnf(refute_0_390,plain,
( zero != join(zero,complement(join(top,top)))
| join(zero,complement(join(top,top))) = zero ),
inference(subst,[],[refute_0_4:[bind(X,$fot(zero)),bind(Y,$fot(join(zero,complement(join(top,top)))))]]) ).
cnf(refute_0_391,plain,
join(zero,complement(join(top,top))) = zero,
inference(resolve,[$cnf( $equal(zero,join(zero,complement(join(top,top)))) )],[refute_0_389,refute_0_390]) ).
cnf(refute_0_392,plain,
( join(zero,complement(join(top,top))) != zero
| meet(top,join(top,top)) != complement(join(zero,complement(join(top,top))))
| meet(top,join(top,top)) = complement(zero) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,join(top,top)),complement(join(zero,complement(join(top,top))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_393,plain,
( meet(top,join(top,top)) != complement(join(zero,complement(join(top,top))))
| meet(top,join(top,top)) = complement(zero) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(top,top))),zero) )],[refute_0_391,refute_0_392]) ).
cnf(refute_0_394,plain,
meet(top,join(top,top)) = complement(zero),
inference(resolve,[$cnf( $equal(meet(top,join(top,top)),complement(join(zero,complement(join(top,top))))) )],[refute_0_362,refute_0_393]) ).
cnf(refute_0_395,plain,
( complement(zero) != top
| meet(top,join(top,top)) != complement(zero)
| meet(top,join(top,top)) = top ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,join(top,top)),complement(zero)) ),[1],$fot(top)]]) ).
cnf(refute_0_396,plain,
( meet(top,join(top,top)) != complement(zero)
| meet(top,join(top,top)) = top ),
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_347,refute_0_395]) ).
cnf(refute_0_397,plain,
meet(top,join(top,top)) = top,
inference(resolve,[$cnf( $equal(meet(top,join(top,top)),complement(zero)) )],[refute_0_394,refute_0_396]) ).
cnf(refute_0_398,plain,
( meet(top,join(top,top)) != top
| top != join(meet(top,join(top,top)),complement(join(join(top,top),complement(top))))
| top = join(top,complement(join(join(top,top),complement(top)))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(meet(top,join(top,top)),complement(join(join(top,top),complement(top))))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_399,plain,
( top != join(meet(top,join(top,top)),complement(join(join(top,top),complement(top))))
| top = join(top,complement(join(join(top,top),complement(top)))) ),
inference(resolve,[$cnf( $equal(meet(top,join(top,top)),top) )],[refute_0_397,refute_0_398]) ).
cnf(refute_0_400,plain,
top = join(top,complement(join(join(top,top),complement(top)))),
inference(resolve,[$cnf( $equal(top,join(meet(top,join(top,top)),complement(join(join(top,top),complement(top))))) )],[refute_0_361,refute_0_399]) ).
cnf(refute_0_401,plain,
join(top,complement(top)) = top,
inference(subst,[],[refute_0_95:[bind(X0,$fot(top))]]) ).
cnf(refute_0_402,plain,
join(top,join(top,complement(top))) = join(top,join(top,complement(top))),
introduced(tautology,[refl,[$fot(join(top,join(top,complement(top))))]]) ).
cnf(refute_0_403,plain,
( join(top,complement(top)) != top
| join(top,join(top,complement(top))) != join(top,join(top,complement(top)))
| join(top,join(top,complement(top))) = join(top,top) ),
introduced(tautology,[equality,[$cnf( $equal(join(top,join(top,complement(top))),join(top,join(top,complement(top)))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_404,plain,
( join(top,complement(top)) != top
| join(top,join(top,complement(top))) = join(top,top) ),
inference(resolve,[$cnf( $equal(join(top,join(top,complement(top))),join(top,join(top,complement(top)))) )],[refute_0_402,refute_0_403]) ).
cnf(refute_0_405,plain,
join(top,join(top,complement(top))) = join(top,top),
inference(resolve,[$cnf( $equal(join(top,complement(top)),top) )],[refute_0_401,refute_0_404]) ).
cnf(refute_0_406,plain,
( join(X0,join(X1,X2)) != join(join(X0,X1),X2)
| join(join(X0,X1),X2) = join(X0,join(X1,X2)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(X0,join(X1,X2)))),bind(Y,$fot(join(join(X0,X1),X2)))]]) ).
cnf(refute_0_407,plain,
join(join(X0,X1),X2) = join(X0,join(X1,X2)),
inference(resolve,[$cnf( $equal(join(X0,join(X1,X2)),join(join(X0,X1),X2)) )],[refute_0_154,refute_0_406]) ).
cnf(refute_0_408,plain,
join(join(top,top),complement(top)) = join(top,join(top,complement(top))),
inference(subst,[],[refute_0_407:[bind(X0,$fot(top)),bind(X1,$fot(top)),bind(X2,$fot(complement(top)))]]) ).
cnf(refute_0_409,plain,
( join(join(top,top),complement(top)) != join(top,join(top,complement(top)))
| join(top,join(top,complement(top))) != join(top,top)
| join(join(top,top),complement(top)) = join(top,top) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(join(top,top),complement(top)))),bind(Y,$fot(join(top,join(top,complement(top))))),bind(Z,$fot(join(top,top)))]]) ).
cnf(refute_0_410,plain,
( join(top,join(top,complement(top))) != join(top,top)
| join(join(top,top),complement(top)) = join(top,top) ),
inference(resolve,[$cnf( $equal(join(join(top,top),complement(top)),join(top,join(top,complement(top)))) )],[refute_0_408,refute_0_409]) ).
cnf(refute_0_411,plain,
join(join(top,top),complement(top)) = join(top,top),
inference(resolve,[$cnf( $equal(join(top,join(top,complement(top))),join(top,top)) )],[refute_0_405,refute_0_410]) ).
cnf(refute_0_412,plain,
complement(join(join(top,top),complement(top))) = complement(join(join(top,top),complement(top))),
introduced(tautology,[refl,[$fot(complement(join(join(top,top),complement(top))))]]) ).
cnf(refute_0_413,plain,
( complement(join(join(top,top),complement(top))) != complement(join(join(top,top),complement(top)))
| join(join(top,top),complement(top)) != join(top,top)
| complement(join(join(top,top),complement(top))) = complement(join(top,top)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(join(top,top),complement(top))),complement(join(join(top,top),complement(top)))) ),[1,0],$fot(join(top,top))]]) ).
cnf(refute_0_414,plain,
( join(join(top,top),complement(top)) != join(top,top)
| complement(join(join(top,top),complement(top))) = complement(join(top,top)) ),
inference(resolve,[$cnf( $equal(complement(join(join(top,top),complement(top))),complement(join(join(top,top),complement(top)))) )],[refute_0_412,refute_0_413]) ).
cnf(refute_0_415,plain,
complement(join(join(top,top),complement(top))) = complement(join(top,top)),
inference(resolve,[$cnf( $equal(join(join(top,top),complement(top)),join(top,top)) )],[refute_0_411,refute_0_414]) ).
cnf(refute_0_416,plain,
join(top,complement(join(join(top,top),complement(top)))) = join(top,complement(join(join(top,top),complement(top)))),
introduced(tautology,[refl,[$fot(join(top,complement(join(join(top,top),complement(top)))))]]) ).
cnf(refute_0_417,plain,
( complement(join(join(top,top),complement(top))) != complement(join(top,top))
| join(top,complement(join(join(top,top),complement(top)))) != join(top,complement(join(join(top,top),complement(top))))
| join(top,complement(join(join(top,top),complement(top)))) = join(top,complement(join(top,top))) ),
introduced(tautology,[equality,[$cnf( $equal(join(top,complement(join(join(top,top),complement(top)))),join(top,complement(join(join(top,top),complement(top))))) ),[1,1],$fot(complement(join(top,top)))]]) ).
cnf(refute_0_418,plain,
( complement(join(join(top,top),complement(top))) != complement(join(top,top))
| join(top,complement(join(join(top,top),complement(top)))) = join(top,complement(join(top,top))) ),
inference(resolve,[$cnf( $equal(join(top,complement(join(join(top,top),complement(top)))),join(top,complement(join(join(top,top),complement(top))))) )],[refute_0_416,refute_0_417]) ).
cnf(refute_0_419,plain,
join(top,complement(join(join(top,top),complement(top)))) = join(top,complement(join(top,top))),
inference(resolve,[$cnf( $equal(complement(join(join(top,top),complement(top))),complement(join(top,top))) )],[refute_0_415,refute_0_418]) ).
cnf(refute_0_420,plain,
( join(top,complement(join(join(top,top),complement(top)))) != join(top,complement(join(top,top)))
| top != join(top,complement(join(join(top,top),complement(top))))
| top = join(top,complement(join(top,top))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(top,complement(join(join(top,top),complement(top))))) ),[1],$fot(join(top,complement(join(top,top))))]]) ).
cnf(refute_0_421,plain,
( top != join(top,complement(join(join(top,top),complement(top))))
| top = join(top,complement(join(top,top))) ),
inference(resolve,[$cnf( $equal(join(top,complement(join(join(top,top),complement(top)))),join(top,complement(join(top,top)))) )],[refute_0_419,refute_0_420]) ).
cnf(refute_0_422,plain,
top = join(top,complement(join(top,top))),
inference(resolve,[$cnf( $equal(top,join(top,complement(join(join(top,top),complement(top))))) )],[refute_0_400,refute_0_421]) ).
cnf(refute_0_423,plain,
( top != join(top,complement(join(top,top)))
| join(top,complement(join(top,top))) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(top,complement(join(top,top)))))]]) ).
cnf(refute_0_424,plain,
join(top,complement(join(top,top))) = top,
inference(resolve,[$cnf( $equal(top,join(top,complement(join(top,top)))) )],[refute_0_422,refute_0_423]) ).
cnf(refute_0_425,plain,
( join(top,complement(join(top,top))) != top
| join(top,top) != join(meet(join(top,top),top),complement(join(top,complement(join(top,top)))))
| join(top,top) = join(meet(join(top,top),top),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(top,top),join(meet(join(top,top),top),complement(join(top,complement(join(top,top)))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_0_426,plain,
( join(top,top) != join(meet(join(top,top),top),complement(join(top,complement(join(top,top)))))
| join(top,top) = join(meet(join(top,top),top),complement(top)) ),
inference(resolve,[$cnf( $equal(join(top,complement(join(top,top))),top) )],[refute_0_424,refute_0_425]) ).
cnf(refute_0_427,plain,
join(top,top) = join(meet(join(top,top),top),complement(top)),
inference(resolve,[$cnf( $equal(join(top,top),join(meet(join(top,top),top),complement(join(top,complement(join(top,top)))))) )],[refute_0_360,refute_0_426]) ).
cnf(refute_0_428,plain,
top = join(top,complement(top)),
inference(subst,[],[refute_0_81:[bind(X0,$fot(top))]]) ).
cnf(refute_0_429,plain,
( complement(top) != zero
| top != join(top,complement(top))
| top = join(top,zero) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(top,complement(top))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_430,plain,
( top != join(top,complement(top))
| top = join(top,zero) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_113,refute_0_429]) ).
cnf(refute_0_431,plain,
top = join(top,zero),
inference(resolve,[$cnf( $equal(top,join(top,complement(top))) )],[refute_0_428,refute_0_430]) ).
cnf(refute_0_432,plain,
( top != join(top,zero)
| join(top,zero) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(top,zero)))]]) ).
cnf(refute_0_433,plain,
join(top,zero) = top,
inference(resolve,[$cnf( $equal(top,join(top,zero)) )],[refute_0_431,refute_0_432]) ).
cnf(refute_0_434,plain,
join(zero,top) = join(top,zero),
inference(subst,[],[refute_0_6:[bind(X0,$fot(top)),bind(X1,$fot(zero))]]) ).
cnf(refute_0_435,plain,
( join(top,zero) != top
| join(zero,top) != join(top,zero)
| join(zero,top) = top ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(zero,top))),bind(Y,$fot(join(top,zero))),bind(Z,$fot(top))]]) ).
cnf(refute_0_436,plain,
( join(top,zero) != top
| join(zero,top) = top ),
inference(resolve,[$cnf( $equal(join(zero,top),join(top,zero)) )],[refute_0_434,refute_0_435]) ).
cnf(refute_0_437,plain,
join(zero,top) = top,
inference(resolve,[$cnf( $equal(join(top,zero),top) )],[refute_0_433,refute_0_436]) ).
cnf(refute_0_438,plain,
meet(join(top,top),top) = meet(top,join(top,top)),
inference(subst,[],[refute_0_332:[bind(X0,$fot(join(top,top)))]]) ).
cnf(refute_0_439,plain,
( meet(join(top,top),top) != meet(top,join(top,top))
| meet(top,join(top,top)) != top
| meet(join(top,top),top) = top ),
inference(subst,[],[refute_0_17:[bind(X,$fot(meet(join(top,top),top))),bind(Y,$fot(meet(top,join(top,top)))),bind(Z,$fot(top))]]) ).
cnf(refute_0_440,plain,
( meet(top,join(top,top)) != top
| meet(join(top,top),top) = top ),
inference(resolve,[$cnf( $equal(meet(join(top,top),top),meet(top,join(top,top))) )],[refute_0_438,refute_0_439]) ).
cnf(refute_0_441,plain,
meet(join(top,top),top) = top,
inference(resolve,[$cnf( $equal(meet(top,join(top,top)),top) )],[refute_0_397,refute_0_440]) ).
cnf(refute_0_442,plain,
join(zero,meet(join(top,top),top)) = join(zero,meet(join(top,top),top)),
introduced(tautology,[refl,[$fot(join(zero,meet(join(top,top),top)))]]) ).
cnf(refute_0_443,plain,
( join(zero,meet(join(top,top),top)) != join(zero,meet(join(top,top),top))
| meet(join(top,top),top) != top
| join(zero,meet(join(top,top),top)) = join(zero,top) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(join(top,top),top)),join(zero,meet(join(top,top),top))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_444,plain,
( meet(join(top,top),top) != top
| join(zero,meet(join(top,top),top)) = join(zero,top) ),
inference(resolve,[$cnf( $equal(join(zero,meet(join(top,top),top)),join(zero,meet(join(top,top),top))) )],[refute_0_442,refute_0_443]) ).
cnf(refute_0_445,plain,
join(zero,meet(join(top,top),top)) = join(zero,top),
inference(resolve,[$cnf( $equal(meet(join(top,top),top),top) )],[refute_0_441,refute_0_444]) ).
cnf(refute_0_446,plain,
join(complement(top),meet(join(top,top),top)) = join(complement(top),meet(join(top,top),top)),
introduced(tautology,[refl,[$fot(join(complement(top),meet(join(top,top),top)))]]) ).
cnf(refute_0_447,plain,
( complement(top) != zero
| join(complement(top),meet(join(top,top),top)) != join(complement(top),meet(join(top,top),top))
| join(complement(top),meet(join(top,top),top)) = join(zero,meet(join(top,top),top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(join(top,top),top)),join(complement(top),meet(join(top,top),top))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_448,plain,
( complement(top) != zero
| join(complement(top),meet(join(top,top),top)) = join(zero,meet(join(top,top),top)) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(join(top,top),top)),join(complement(top),meet(join(top,top),top))) )],[refute_0_446,refute_0_447]) ).
cnf(refute_0_449,plain,
join(complement(top),meet(join(top,top),top)) = join(zero,meet(join(top,top),top)),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_113,refute_0_448]) ).
cnf(refute_0_450,plain,
( join(complement(top),meet(join(top,top),top)) != join(zero,meet(join(top,top),top))
| join(zero,meet(join(top,top),top)) != join(zero,top)
| join(complement(top),meet(join(top,top),top)) = join(zero,top) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(complement(top),meet(join(top,top),top)))),bind(Y,$fot(join(zero,meet(join(top,top),top)))),bind(Z,$fot(join(zero,top)))]]) ).
cnf(refute_0_451,plain,
( join(zero,meet(join(top,top),top)) != join(zero,top)
| join(complement(top),meet(join(top,top),top)) = join(zero,top) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(join(top,top),top)),join(zero,meet(join(top,top),top))) )],[refute_0_449,refute_0_450]) ).
cnf(refute_0_452,plain,
join(complement(top),meet(join(top,top),top)) = join(zero,top),
inference(resolve,[$cnf( $equal(join(zero,meet(join(top,top),top)),join(zero,top)) )],[refute_0_445,refute_0_451]) ).
cnf(refute_0_453,plain,
( join(complement(top),meet(join(top,top),top)) != join(zero,top)
| join(zero,top) != top
| join(complement(top),meet(join(top,top),top)) = top ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(complement(top),meet(join(top,top),top)))),bind(Y,$fot(join(zero,top))),bind(Z,$fot(top))]]) ).
cnf(refute_0_454,plain,
( join(zero,top) != top
| join(complement(top),meet(join(top,top),top)) = top ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(join(top,top),top)),join(zero,top)) )],[refute_0_452,refute_0_453]) ).
cnf(refute_0_455,plain,
join(complement(top),meet(join(top,top),top)) = top,
inference(resolve,[$cnf( $equal(join(zero,top),top) )],[refute_0_437,refute_0_454]) ).
cnf(refute_0_456,plain,
join(meet(join(top,top),top),complement(top)) = join(complement(top),meet(join(top,top),top)),
inference(subst,[],[refute_0_6:[bind(X0,$fot(complement(top))),bind(X1,$fot(meet(join(top,top),top)))]]) ).
cnf(refute_0_457,plain,
( join(complement(top),meet(join(top,top),top)) != top
| join(meet(join(top,top),top),complement(top)) != join(complement(top),meet(join(top,top),top))
| join(meet(join(top,top),top),complement(top)) = top ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(meet(join(top,top),top),complement(top)))),bind(Y,$fot(join(complement(top),meet(join(top,top),top)))),bind(Z,$fot(top))]]) ).
cnf(refute_0_458,plain,
( join(complement(top),meet(join(top,top),top)) != top
| join(meet(join(top,top),top),complement(top)) = top ),
inference(resolve,[$cnf( $equal(join(meet(join(top,top),top),complement(top)),join(complement(top),meet(join(top,top),top))) )],[refute_0_456,refute_0_457]) ).
cnf(refute_0_459,plain,
join(meet(join(top,top),top),complement(top)) = top,
inference(resolve,[$cnf( $equal(join(complement(top),meet(join(top,top),top)),top) )],[refute_0_455,refute_0_458]) ).
cnf(refute_0_460,plain,
( join(meet(join(top,top),top),complement(top)) != top
| join(top,top) != join(meet(join(top,top),top),complement(top))
| join(top,top) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(top,top),join(meet(join(top,top),top),complement(top))) ),[1],$fot(top)]]) ).
cnf(refute_0_461,plain,
( join(top,top) != join(meet(join(top,top),top),complement(top))
| join(top,top) = top ),
inference(resolve,[$cnf( $equal(join(meet(join(top,top),top),complement(top)),top) )],[refute_0_459,refute_0_460]) ).
cnf(refute_0_462,plain,
join(top,top) = top,
inference(resolve,[$cnf( $equal(join(top,top),join(meet(join(top,top),top),complement(top))) )],[refute_0_427,refute_0_461]) ).
cnf(refute_0_463,plain,
( join(top,join(top,X_77)) != join(join(top,top),X_77)
| join(top,top) != top
| join(top,join(top,X_77)) = join(top,X_77) ),
introduced(tautology,[equality,[$cnf( $equal(join(top,join(top,X_77)),join(join(top,top),X_77)) ),[1,0],$fot(top)]]) ).
cnf(refute_0_464,plain,
( join(top,join(top,X_77)) != join(join(top,top),X_77)
| join(top,join(top,X_77)) = join(top,X_77) ),
inference(resolve,[$cnf( $equal(join(top,top),top) )],[refute_0_462,refute_0_463]) ).
cnf(refute_0_465,plain,
join(top,join(top,X_77)) = join(top,X_77),
inference(resolve,[$cnf( $equal(join(top,join(top,X_77)),join(join(top,top),X_77)) )],[refute_0_353,refute_0_464]) ).
cnf(refute_0_466,plain,
join(top,join(top,X_78)) = join(top,X_78),
inference(subst,[],[refute_0_465:[bind(X_77,$fot(X_78))]]) ).
cnf(refute_0_467,plain,
( join(join(top,X_78),top) != join(top,join(top,X_78))
| join(top,join(top,X_78)) != join(top,X_78)
| join(join(top,X_78),top) = join(top,X_78) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(join(top,X_78),top),join(top,X_78)) ),[0],$fot(join(top,join(top,X_78)))]]) ).
cnf(refute_0_468,plain,
( join(join(top,X_78),top) != join(top,join(top,X_78))
| join(join(top,X_78),top) = join(top,X_78) ),
inference(resolve,[$cnf( $equal(join(top,join(top,X_78)),join(top,X_78)) )],[refute_0_466,refute_0_467]) ).
cnf(refute_0_469,plain,
join(join(top,X_78),top) = join(top,X_78),
inference(resolve,[$cnf( $equal(join(join(top,X_78),top),join(top,join(top,X_78))) )],[refute_0_352,refute_0_468]) ).
cnf(refute_0_470,plain,
join(join(top,X_78),top) = join(top,join(X_78,top)),
inference(subst,[],[refute_0_407:[bind(X0,$fot(top)),bind(X1,$fot(X_78)),bind(X2,$fot(top))]]) ).
cnf(refute_0_471,plain,
( join(join(top,X_78),top) != join(top,X_78)
| join(join(top,X_78),top) != join(top,join(X_78,top))
| join(top,join(X_78,top)) = join(top,X_78) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(top,X_78),top),join(top,X_78)) ),[0],$fot(join(top,join(X_78,top)))]]) ).
cnf(refute_0_472,plain,
( join(join(top,X_78),top) != join(top,X_78)
| join(top,join(X_78,top)) = join(top,X_78) ),
inference(resolve,[$cnf( $equal(join(join(top,X_78),top),join(top,join(X_78,top))) )],[refute_0_470,refute_0_471]) ).
cnf(refute_0_473,plain,
join(top,join(X_78,top)) = join(top,X_78),
inference(resolve,[$cnf( $equal(join(join(top,X_78),top),join(top,X_78)) )],[refute_0_469,refute_0_472]) ).
cnf(refute_0_474,plain,
join(top,join(X_80,top)) = join(top,X_80),
inference(subst,[],[refute_0_473:[bind(X_78,$fot(X_80))]]) ).
cnf(refute_0_475,plain,
( join(top,join(X_80,top)) != join(top,X_80)
| zero != join(meet(zero,join(X_80,top)),complement(join(top,join(X_80,top))))
| zero = join(meet(zero,join(X_80,top)),complement(join(top,X_80))) ),
introduced(tautology,[equality,[$cnf( $equal(zero,join(meet(zero,join(X_80,top)),complement(join(top,join(X_80,top))))) ),[1,1,0],$fot(join(top,X_80))]]) ).
cnf(refute_0_476,plain,
( zero != join(meet(zero,join(X_80,top)),complement(join(top,join(X_80,top))))
| zero = join(meet(zero,join(X_80,top)),complement(join(top,X_80))) ),
inference(resolve,[$cnf( $equal(join(top,join(X_80,top)),join(top,X_80)) )],[refute_0_474,refute_0_475]) ).
cnf(refute_0_477,plain,
zero = join(meet(zero,join(X_80,top)),complement(join(top,X_80))),
inference(resolve,[$cnf( $equal(zero,join(meet(zero,join(X_80,top)),complement(join(top,join(X_80,top))))) )],[refute_0_351,refute_0_476]) ).
cnf(refute_0_478,plain,
join(meet(zero,join(X_80,top)),complement(join(top,X_80))) = join(complement(join(top,X_80)),meet(zero,join(X_80,top))),
inference(subst,[],[refute_0_6:[bind(X0,$fot(complement(join(top,X_80)))),bind(X1,$fot(meet(zero,join(X_80,top))))]]) ).
cnf(refute_0_479,plain,
( join(meet(zero,join(X_80,top)),complement(join(top,X_80))) != join(complement(join(top,X_80)),meet(zero,join(X_80,top)))
| zero != join(meet(zero,join(X_80,top)),complement(join(top,X_80)))
| zero = join(complement(join(top,X_80)),meet(zero,join(X_80,top))) ),
introduced(tautology,[equality,[$cnf( $equal(zero,join(meet(zero,join(X_80,top)),complement(join(top,X_80)))) ),[1],$fot(join(complement(join(top,X_80)),meet(zero,join(X_80,top))))]]) ).
cnf(refute_0_480,plain,
( zero != join(meet(zero,join(X_80,top)),complement(join(top,X_80)))
| zero = join(complement(join(top,X_80)),meet(zero,join(X_80,top))) ),
inference(resolve,[$cnf( $equal(join(meet(zero,join(X_80,top)),complement(join(top,X_80))),join(complement(join(top,X_80)),meet(zero,join(X_80,top)))) )],[refute_0_478,refute_0_479]) ).
cnf(refute_0_481,plain,
zero = join(complement(join(top,X_80)),meet(zero,join(X_80,top))),
inference(resolve,[$cnf( $equal(zero,join(meet(zero,join(X_80,top)),complement(join(top,X_80)))) )],[refute_0_477,refute_0_480]) ).
cnf(refute_0_482,plain,
zero = join(complement(join(top,X_100)),meet(zero,join(X_100,top))),
inference(subst,[],[refute_0_481:[bind(X_80,$fot(X_100))]]) ).
cnf(refute_0_483,plain,
( zero != join(complement(join(top,X_100)),meet(zero,join(X_100,top)))
| join(complement(join(top,X_100)),meet(zero,join(X_100,top))) = zero ),
inference(subst,[],[refute_0_4:[bind(X,$fot(zero)),bind(Y,$fot(join(complement(join(top,X_100)),meet(zero,join(X_100,top)))))]]) ).
cnf(refute_0_484,plain,
join(complement(join(top,X_100)),meet(zero,join(X_100,top))) = zero,
inference(resolve,[$cnf( $equal(zero,join(complement(join(top,X_100)),meet(zero,join(X_100,top)))) )],[refute_0_482,refute_0_483]) ).
cnf(refute_0_485,plain,
( join(complement(join(top,X_100)),meet(zero,join(X_100,top))) != zero
| join(join(top,X_100),join(complement(join(top,X_100)),meet(zero,join(X_100,top)))) != join(top,meet(zero,join(X_100,top)))
| join(join(top,X_100),zero) = join(top,meet(zero,join(X_100,top))) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(top,X_100),join(complement(join(top,X_100)),meet(zero,join(X_100,top)))),join(top,meet(zero,join(X_100,top)))) ),[0,1],$fot(zero)]]) ).
cnf(refute_0_486,plain,
( join(join(top,X_100),join(complement(join(top,X_100)),meet(zero,join(X_100,top)))) != join(top,meet(zero,join(X_100,top)))
| join(join(top,X_100),zero) = join(top,meet(zero,join(X_100,top))) ),
inference(resolve,[$cnf( $equal(join(complement(join(top,X_100)),meet(zero,join(X_100,top))),zero) )],[refute_0_484,refute_0_485]) ).
cnf(refute_0_487,plain,
join(join(top,X_100),zero) = join(top,meet(zero,join(X_100,top))),
inference(resolve,[$cnf( $equal(join(join(top,X_100),join(complement(join(top,X_100)),meet(zero,join(X_100,top)))),join(top,meet(zero,join(X_100,top)))) )],[refute_0_285,refute_0_486]) ).
cnf(refute_0_488,plain,
join(top,join(zero,X_77)) = join(join(top,zero),X_77),
inference(subst,[],[refute_0_154:[bind(X0,$fot(top)),bind(X1,$fot(zero)),bind(X2,$fot(X_77))]]) ).
cnf(refute_0_489,plain,
( join(top,join(zero,X_77)) != join(join(top,zero),X_77)
| join(top,zero) != top
| join(top,join(zero,X_77)) = join(top,X_77) ),
introduced(tautology,[equality,[$cnf( $equal(join(top,join(zero,X_77)),join(join(top,zero),X_77)) ),[1,0],$fot(top)]]) ).
cnf(refute_0_490,plain,
( join(top,join(zero,X_77)) != join(join(top,zero),X_77)
| join(top,join(zero,X_77)) = join(top,X_77) ),
inference(resolve,[$cnf( $equal(join(top,zero),top) )],[refute_0_433,refute_0_489]) ).
cnf(refute_0_491,plain,
join(top,join(zero,X_77)) = join(top,X_77),
inference(resolve,[$cnf( $equal(join(top,join(zero,X_77)),join(join(top,zero),X_77)) )],[refute_0_488,refute_0_490]) ).
cnf(refute_0_492,plain,
join(top,join(zero,X_79)) = join(top,X_79),
inference(subst,[],[refute_0_491:[bind(X_77,$fot(X_79))]]) ).
cnf(refute_0_493,plain,
join(X_79,zero) = join(zero,X_79),
inference(subst,[],[refute_0_1:[bind(X0,$fot(X_79)),bind(X1,$fot(zero))]]) ).
cnf(refute_0_494,plain,
( join(X_79,zero) != join(zero,X_79)
| join(zero,X_79) = join(X_79,zero) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(X_79,zero))),bind(Y,$fot(join(zero,X_79)))]]) ).
cnf(refute_0_495,plain,
join(zero,X_79) = join(X_79,zero),
inference(resolve,[$cnf( $equal(join(X_79,zero),join(zero,X_79)) )],[refute_0_493,refute_0_494]) ).
cnf(refute_0_496,plain,
( join(top,join(zero,X_79)) != join(top,X_79)
| join(zero,X_79) != join(X_79,zero)
| join(top,join(X_79,zero)) = join(top,X_79) ),
introduced(tautology,[equality,[$cnf( $equal(join(top,join(zero,X_79)),join(top,X_79)) ),[0,1],$fot(join(X_79,zero))]]) ).
cnf(refute_0_497,plain,
( join(top,join(zero,X_79)) != join(top,X_79)
| join(top,join(X_79,zero)) = join(top,X_79) ),
inference(resolve,[$cnf( $equal(join(zero,X_79),join(X_79,zero)) )],[refute_0_495,refute_0_496]) ).
cnf(refute_0_498,plain,
join(top,join(X_79,zero)) = join(top,X_79),
inference(resolve,[$cnf( $equal(join(top,join(zero,X_79)),join(top,X_79)) )],[refute_0_492,refute_0_497]) ).
cnf(refute_0_499,plain,
join(top,join(X_100,zero)) = join(top,X_100),
inference(subst,[],[refute_0_498:[bind(X_79,$fot(X_100))]]) ).
cnf(refute_0_500,plain,
join(join(top,X_100),zero) = join(top,join(X_100,zero)),
inference(subst,[],[refute_0_407:[bind(X0,$fot(top)),bind(X1,$fot(X_100)),bind(X2,$fot(zero))]]) ).
cnf(refute_0_501,plain,
( join(join(top,X_100),zero) != join(top,join(X_100,zero))
| join(top,join(X_100,zero)) != join(top,X_100)
| join(join(top,X_100),zero) = join(top,X_100) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(join(top,X_100),zero))),bind(Y,$fot(join(top,join(X_100,zero)))),bind(Z,$fot(join(top,X_100)))]]) ).
cnf(refute_0_502,plain,
( join(top,join(X_100,zero)) != join(top,X_100)
| join(join(top,X_100),zero) = join(top,X_100) ),
inference(resolve,[$cnf( $equal(join(join(top,X_100),zero),join(top,join(X_100,zero))) )],[refute_0_500,refute_0_501]) ).
cnf(refute_0_503,plain,
join(join(top,X_100),zero) = join(top,X_100),
inference(resolve,[$cnf( $equal(join(top,join(X_100,zero)),join(top,X_100)) )],[refute_0_499,refute_0_502]) ).
cnf(refute_0_504,plain,
( join(join(top,X_100),zero) != join(top,X_100)
| join(join(top,X_100),zero) != join(top,meet(zero,join(X_100,top)))
| join(top,X_100) = join(top,meet(zero,join(X_100,top))) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(top,X_100),zero),join(top,meet(zero,join(X_100,top)))) ),[0],$fot(join(top,X_100))]]) ).
cnf(refute_0_505,plain,
( join(join(top,X_100),zero) != join(top,meet(zero,join(X_100,top)))
| join(top,X_100) = join(top,meet(zero,join(X_100,top))) ),
inference(resolve,[$cnf( $equal(join(join(top,X_100),zero),join(top,X_100)) )],[refute_0_503,refute_0_504]) ).
cnf(refute_0_506,plain,
join(top,X_100) = join(top,meet(zero,join(X_100,top))),
inference(resolve,[$cnf( $equal(join(join(top,X_100),zero),join(top,meet(zero,join(X_100,top)))) )],[refute_0_487,refute_0_505]) ).
cnf(refute_0_507,plain,
top = join(join(X_75,X_76),complement(join(X_75,X_76))),
inference(subst,[],[refute_0_81:[bind(X0,$fot(join(X_75,X_76)))]]) ).
cnf(refute_0_508,plain,
join(X_75,join(X_76,complement(join(X_75,X_76)))) = join(join(X_75,X_76),complement(join(X_75,X_76))),
inference(subst,[],[refute_0_154:[bind(X0,$fot(X_75)),bind(X1,$fot(X_76)),bind(X2,$fot(complement(join(X_75,X_76))))]]) ).
cnf(refute_0_509,plain,
( join(X_75,join(X_76,complement(join(X_75,X_76)))) != join(join(X_75,X_76),complement(join(X_75,X_76)))
| join(join(X_75,X_76),complement(join(X_75,X_76))) = join(X_75,join(X_76,complement(join(X_75,X_76)))) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(X_75,join(X_76,complement(join(X_75,X_76)))))),bind(Y,$fot(join(join(X_75,X_76),complement(join(X_75,X_76)))))]]) ).
cnf(refute_0_510,plain,
join(join(X_75,X_76),complement(join(X_75,X_76))) = join(X_75,join(X_76,complement(join(X_75,X_76)))),
inference(resolve,[$cnf( $equal(join(X_75,join(X_76,complement(join(X_75,X_76)))),join(join(X_75,X_76),complement(join(X_75,X_76)))) )],[refute_0_508,refute_0_509]) ).
cnf(refute_0_511,plain,
( join(join(X_75,X_76),complement(join(X_75,X_76))) != join(X_75,join(X_76,complement(join(X_75,X_76))))
| top != join(join(X_75,X_76),complement(join(X_75,X_76)))
| top = join(X_75,join(X_76,complement(join(X_75,X_76)))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(join(X_75,X_76),complement(join(X_75,X_76)))) ),[1],$fot(join(X_75,join(X_76,complement(join(X_75,X_76)))))]]) ).
cnf(refute_0_512,plain,
( top != join(join(X_75,X_76),complement(join(X_75,X_76)))
| top = join(X_75,join(X_76,complement(join(X_75,X_76)))) ),
inference(resolve,[$cnf( $equal(join(join(X_75,X_76),complement(join(X_75,X_76))),join(X_75,join(X_76,complement(join(X_75,X_76))))) )],[refute_0_510,refute_0_511]) ).
cnf(refute_0_513,plain,
top = join(X_75,join(X_76,complement(join(X_75,X_76)))),
inference(resolve,[$cnf( $equal(top,join(join(X_75,X_76),complement(join(X_75,X_76)))) )],[refute_0_507,refute_0_512]) ).
cnf(refute_0_514,plain,
top = join(X_75,join(meet(zero,X_75),complement(join(X_75,meet(zero,X_75))))),
inference(subst,[],[refute_0_513:[bind(X_76,$fot(meet(zero,X_75)))]]) ).
cnf(refute_0_515,plain,
X_33 = join(meet(zero,X_33),complement(join(complement(X_33),zero))),
inference(subst,[],[refute_0_152:[bind(X_34,$fot(zero))]]) ).
cnf(refute_0_516,plain,
complement(X_33) = join(complement(X_33),zero),
inference(subst,[],[refute_0_277:[bind(X_117,$fot(complement(X_33)))]]) ).
cnf(refute_0_517,plain,
( complement(X_33) != join(complement(X_33),zero)
| join(complement(X_33),zero) = complement(X_33) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(complement(X_33))),bind(Y,$fot(join(complement(X_33),zero)))]]) ).
cnf(refute_0_518,plain,
join(complement(X_33),zero) = complement(X_33),
inference(resolve,[$cnf( $equal(complement(X_33),join(complement(X_33),zero)) )],[refute_0_516,refute_0_517]) ).
cnf(refute_0_519,plain,
( X_33 != join(meet(zero,X_33),complement(join(complement(X_33),zero)))
| join(complement(X_33),zero) != complement(X_33)
| X_33 = join(meet(zero,X_33),complement(complement(X_33))) ),
introduced(tautology,[equality,[$cnf( $equal(X_33,join(meet(zero,X_33),complement(join(complement(X_33),zero)))) ),[1,1,0],$fot(complement(X_33))]]) ).
cnf(refute_0_520,plain,
( X_33 != join(meet(zero,X_33),complement(join(complement(X_33),zero)))
| X_33 = join(meet(zero,X_33),complement(complement(X_33))) ),
inference(resolve,[$cnf( $equal(join(complement(X_33),zero),complement(X_33)) )],[refute_0_518,refute_0_519]) ).
cnf(refute_0_521,plain,
X_33 = join(meet(zero,X_33),complement(complement(X_33))),
inference(resolve,[$cnf( $equal(X_33,join(meet(zero,X_33),complement(join(complement(X_33),zero)))) )],[refute_0_515,refute_0_520]) ).
cnf(refute_0_522,plain,
join(complement(complement(X_33)),meet(zero,X_33)) = join(complement(complement(X_33)),meet(zero,X_33)),
introduced(tautology,[refl,[$fot(join(complement(complement(X_33)),meet(zero,X_33)))]]) ).
cnf(refute_0_523,plain,
( complement(complement(X_33)) != X_33
| join(complement(complement(X_33)),meet(zero,X_33)) != join(complement(complement(X_33)),meet(zero,X_33))
| join(complement(complement(X_33)),meet(zero,X_33)) = join(X_33,meet(zero,X_33)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(X_33)),meet(zero,X_33)),join(complement(complement(X_33)),meet(zero,X_33))) ),[1,0],$fot(X_33)]]) ).
cnf(refute_0_524,plain,
( complement(complement(X_33)) != X_33
| join(complement(complement(X_33)),meet(zero,X_33)) = join(X_33,meet(zero,X_33)) ),
inference(resolve,[$cnf( $equal(join(complement(complement(X_33)),meet(zero,X_33)),join(complement(complement(X_33)),meet(zero,X_33))) )],[refute_0_522,refute_0_523]) ).
cnf(refute_0_525,plain,
join(complement(complement(X_33)),meet(zero,X_33)) = join(X_33,meet(zero,X_33)),
inference(resolve,[$cnf( $equal(complement(complement(X_33)),X_33) )],[refute_0_166,refute_0_524]) ).
cnf(refute_0_526,plain,
join(meet(zero,X_33),complement(complement(X_33))) = join(complement(complement(X_33)),meet(zero,X_33)),
inference(subst,[],[refute_0_6:[bind(X0,$fot(complement(complement(X_33)))),bind(X1,$fot(meet(zero,X_33)))]]) ).
cnf(refute_0_527,plain,
( join(complement(complement(X_33)),meet(zero,X_33)) != join(X_33,meet(zero,X_33))
| join(meet(zero,X_33),complement(complement(X_33))) != join(complement(complement(X_33)),meet(zero,X_33))
| join(meet(zero,X_33),complement(complement(X_33))) = join(X_33,meet(zero,X_33)) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(meet(zero,X_33),complement(complement(X_33))))),bind(Y,$fot(join(complement(complement(X_33)),meet(zero,X_33)))),bind(Z,$fot(join(X_33,meet(zero,X_33))))]]) ).
cnf(refute_0_528,plain,
( join(complement(complement(X_33)),meet(zero,X_33)) != join(X_33,meet(zero,X_33))
| join(meet(zero,X_33),complement(complement(X_33))) = join(X_33,meet(zero,X_33)) ),
inference(resolve,[$cnf( $equal(join(meet(zero,X_33),complement(complement(X_33))),join(complement(complement(X_33)),meet(zero,X_33))) )],[refute_0_526,refute_0_527]) ).
cnf(refute_0_529,plain,
join(meet(zero,X_33),complement(complement(X_33))) = join(X_33,meet(zero,X_33)),
inference(resolve,[$cnf( $equal(join(complement(complement(X_33)),meet(zero,X_33)),join(X_33,meet(zero,X_33))) )],[refute_0_525,refute_0_528]) ).
cnf(refute_0_530,plain,
( X_33 != join(meet(zero,X_33),complement(complement(X_33)))
| join(meet(zero,X_33),complement(complement(X_33))) != join(X_33,meet(zero,X_33))
| X_33 = join(X_33,meet(zero,X_33)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_33,join(X_33,meet(zero,X_33))) ),[0],$fot(join(meet(zero,X_33),complement(complement(X_33))))]]) ).
cnf(refute_0_531,plain,
( X_33 != join(meet(zero,X_33),complement(complement(X_33)))
| X_33 = join(X_33,meet(zero,X_33)) ),
inference(resolve,[$cnf( $equal(join(meet(zero,X_33),complement(complement(X_33))),join(X_33,meet(zero,X_33))) )],[refute_0_529,refute_0_530]) ).
cnf(refute_0_532,plain,
X_33 = join(X_33,meet(zero,X_33)),
inference(resolve,[$cnf( $equal(X_33,join(meet(zero,X_33),complement(complement(X_33)))) )],[refute_0_521,refute_0_531]) ).
cnf(refute_0_533,plain,
X_75 = join(X_75,meet(zero,X_75)),
inference(subst,[],[refute_0_532:[bind(X_33,$fot(X_75))]]) ).
cnf(refute_0_534,plain,
( X_75 != join(X_75,meet(zero,X_75))
| join(X_75,meet(zero,X_75)) = X_75 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(X_75)),bind(Y,$fot(join(X_75,meet(zero,X_75))))]]) ).
cnf(refute_0_535,plain,
join(X_75,meet(zero,X_75)) = X_75,
inference(resolve,[$cnf( $equal(X_75,join(X_75,meet(zero,X_75))) )],[refute_0_533,refute_0_534]) ).
cnf(refute_0_536,plain,
( join(X_75,meet(zero,X_75)) != X_75
| top != join(X_75,join(meet(zero,X_75),complement(join(X_75,meet(zero,X_75)))))
| top = join(X_75,join(meet(zero,X_75),complement(X_75))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(X_75,join(meet(zero,X_75),complement(join(X_75,meet(zero,X_75)))))) ),[1,1,1,0],$fot(X_75)]]) ).
cnf(refute_0_537,plain,
( top != join(X_75,join(meet(zero,X_75),complement(join(X_75,meet(zero,X_75)))))
| top = join(X_75,join(meet(zero,X_75),complement(X_75))) ),
inference(resolve,[$cnf( $equal(join(X_75,meet(zero,X_75)),X_75) )],[refute_0_535,refute_0_536]) ).
cnf(refute_0_538,plain,
top = join(X_75,join(meet(zero,X_75),complement(X_75))),
inference(resolve,[$cnf( $equal(top,join(X_75,join(meet(zero,X_75),complement(join(X_75,meet(zero,X_75)))))) )],[refute_0_514,refute_0_537]) ).
cnf(refute_0_539,plain,
join(X_83,join(complement(X_83),X_84)) = join(top,X_84),
inference(subst,[],[refute_0_161:[bind(X_75,$fot(X_83)),bind(X_77,$fot(X_84))]]) ).
cnf(refute_0_540,plain,
join(X_84,complement(X_83)) = join(complement(X_83),X_84),
inference(subst,[],[refute_0_1:[bind(X0,$fot(X_84)),bind(X1,$fot(complement(X_83)))]]) ).
cnf(refute_0_541,plain,
( join(X_84,complement(X_83)) != join(complement(X_83),X_84)
| join(complement(X_83),X_84) = join(X_84,complement(X_83)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(X_84,complement(X_83)))),bind(Y,$fot(join(complement(X_83),X_84)))]]) ).
cnf(refute_0_542,plain,
join(complement(X_83),X_84) = join(X_84,complement(X_83)),
inference(resolve,[$cnf( $equal(join(X_84,complement(X_83)),join(complement(X_83),X_84)) )],[refute_0_540,refute_0_541]) ).
cnf(refute_0_543,plain,
( join(X_83,join(complement(X_83),X_84)) != join(top,X_84)
| join(complement(X_83),X_84) != join(X_84,complement(X_83))
| join(X_83,join(X_84,complement(X_83))) = join(top,X_84) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_83,join(complement(X_83),X_84)),join(top,X_84)) ),[0,1],$fot(join(X_84,complement(X_83)))]]) ).
cnf(refute_0_544,plain,
( join(X_83,join(complement(X_83),X_84)) != join(top,X_84)
| join(X_83,join(X_84,complement(X_83))) = join(top,X_84) ),
inference(resolve,[$cnf( $equal(join(complement(X_83),X_84),join(X_84,complement(X_83))) )],[refute_0_542,refute_0_543]) ).
cnf(refute_0_545,plain,
join(X_83,join(X_84,complement(X_83))) = join(top,X_84),
inference(resolve,[$cnf( $equal(join(X_83,join(complement(X_83),X_84)),join(top,X_84)) )],[refute_0_539,refute_0_544]) ).
cnf(refute_0_546,plain,
join(X_75,join(meet(zero,X_75),complement(X_75))) = join(top,meet(zero,X_75)),
inference(subst,[],[refute_0_545:[bind(X_83,$fot(X_75)),bind(X_84,$fot(meet(zero,X_75)))]]) ).
cnf(refute_0_547,plain,
( join(X_75,join(meet(zero,X_75),complement(X_75))) != join(top,meet(zero,X_75))
| top != join(X_75,join(meet(zero,X_75),complement(X_75)))
| top = join(top,meet(zero,X_75)) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(X_75,join(meet(zero,X_75),complement(X_75)))) ),[1],$fot(join(top,meet(zero,X_75)))]]) ).
cnf(refute_0_548,plain,
( top != join(X_75,join(meet(zero,X_75),complement(X_75)))
| top = join(top,meet(zero,X_75)) ),
inference(resolve,[$cnf( $equal(join(X_75,join(meet(zero,X_75),complement(X_75))),join(top,meet(zero,X_75))) )],[refute_0_546,refute_0_547]) ).
cnf(refute_0_549,plain,
top = join(top,meet(zero,X_75)),
inference(resolve,[$cnf( $equal(top,join(X_75,join(meet(zero,X_75),complement(X_75)))) )],[refute_0_538,refute_0_548]) ).
cnf(refute_0_550,plain,
( top != join(top,meet(zero,X_75))
| join(top,meet(zero,X_75)) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(top,meet(zero,X_75))))]]) ).
cnf(refute_0_551,plain,
join(top,meet(zero,X_75)) = top,
inference(resolve,[$cnf( $equal(top,join(top,meet(zero,X_75))) )],[refute_0_549,refute_0_550]) ).
cnf(refute_0_552,plain,
join(top,meet(zero,join(X_100,top))) = top,
inference(subst,[],[refute_0_551:[bind(X_75,$fot(join(X_100,top)))]]) ).
cnf(refute_0_553,plain,
( join(top,X_100) != join(top,meet(zero,join(X_100,top)))
| join(top,meet(zero,join(X_100,top))) != top
| join(top,X_100) = top ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(top,X_100),top) ),[0],$fot(join(top,meet(zero,join(X_100,top))))]]) ).
cnf(refute_0_554,plain,
( join(top,X_100) != join(top,meet(zero,join(X_100,top)))
| join(top,X_100) = top ),
inference(resolve,[$cnf( $equal(join(top,meet(zero,join(X_100,top))),top) )],[refute_0_552,refute_0_553]) ).
cnf(refute_0_555,plain,
join(top,X_100) = top,
inference(resolve,[$cnf( $equal(join(top,X_100),join(top,meet(zero,join(X_100,top)))) )],[refute_0_506,refute_0_554]) ).
cnf(refute_0_556,plain,
join(top,X_84) = top,
inference(subst,[],[refute_0_555:[bind(X_100,$fot(X_84))]]) ).
cnf(refute_0_557,plain,
complement(join(top,X_84)) = complement(join(top,X_84)),
introduced(tautology,[refl,[$fot(complement(join(top,X_84)))]]) ).
cnf(refute_0_558,plain,
( complement(join(top,X_84)) != complement(join(top,X_84))
| join(top,X_84) != top
| complement(join(top,X_84)) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(top,X_84)),complement(join(top,X_84))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_559,plain,
( join(top,X_84) != top
| complement(join(top,X_84)) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(join(top,X_84)),complement(join(top,X_84))) )],[refute_0_557,refute_0_558]) ).
cnf(refute_0_560,plain,
complement(join(top,X_84)) = complement(top),
inference(resolve,[$cnf( $equal(join(top,X_84),top) )],[refute_0_556,refute_0_559]) ).
cnf(refute_0_561,plain,
( complement(join(top,X_84)) != complement(top)
| complement(top) != zero
| complement(join(top,X_84)) = zero ),
inference(subst,[],[refute_0_17:[bind(X,$fot(complement(join(top,X_84)))),bind(Y,$fot(complement(top))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_562,plain,
( complement(top) != zero
| complement(join(top,X_84)) = zero ),
inference(resolve,[$cnf( $equal(complement(join(top,X_84)),complement(top)) )],[refute_0_560,refute_0_561]) ).
cnf(refute_0_563,plain,
complement(join(top,X_84)) = zero,
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_113,refute_0_562]) ).
cnf(refute_0_564,plain,
join(complement(join(top,X_84)),meet(X_33,join(X_33,X_84))) = join(complement(join(top,X_84)),meet(X_33,join(X_33,X_84))),
introduced(tautology,[refl,[$fot(join(complement(join(top,X_84)),meet(X_33,join(X_33,X_84))))]]) ).
cnf(refute_0_565,plain,
( complement(join(top,X_84)) != zero
| join(complement(join(top,X_84)),meet(X_33,join(X_33,X_84))) != join(complement(join(top,X_84)),meet(X_33,join(X_33,X_84)))
| join(complement(join(top,X_84)),meet(X_33,join(X_33,X_84))) = join(zero,meet(X_33,join(X_33,X_84))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(join(top,X_84)),meet(X_33,join(X_33,X_84))),join(complement(join(top,X_84)),meet(X_33,join(X_33,X_84)))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_566,plain,
( complement(join(top,X_84)) != zero
| join(complement(join(top,X_84)),meet(X_33,join(X_33,X_84))) = join(zero,meet(X_33,join(X_33,X_84))) ),
inference(resolve,[$cnf( $equal(join(complement(join(top,X_84)),meet(X_33,join(X_33,X_84))),join(complement(join(top,X_84)),meet(X_33,join(X_33,X_84)))) )],[refute_0_564,refute_0_565]) ).
cnf(refute_0_567,plain,
join(complement(join(top,X_84)),meet(X_33,join(X_33,X_84))) = join(zero,meet(X_33,join(X_33,X_84))),
inference(resolve,[$cnf( $equal(complement(join(top,X_84)),zero) )],[refute_0_563,refute_0_566]) ).
cnf(refute_0_568,plain,
( join(complement(join(top,X_84)),meet(X_33,join(X_33,X_84))) != join(zero,meet(X_33,join(X_33,X_84)))
| join(zero,meet(X_33,join(X_33,X_84))) != meet(X_33,join(X_33,X_84))
| join(complement(join(top,X_84)),meet(X_33,join(X_33,X_84))) = meet(X_33,join(X_33,X_84)) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(complement(join(top,X_84)),meet(X_33,join(X_33,X_84))))),bind(Y,$fot(join(zero,meet(X_33,join(X_33,X_84))))),bind(Z,$fot(meet(X_33,join(X_33,X_84))))]]) ).
cnf(refute_0_569,plain,
( join(zero,meet(X_33,join(X_33,X_84))) != meet(X_33,join(X_33,X_84))
| join(complement(join(top,X_84)),meet(X_33,join(X_33,X_84))) = meet(X_33,join(X_33,X_84)) ),
inference(resolve,[$cnf( $equal(join(complement(join(top,X_84)),meet(X_33,join(X_33,X_84))),join(zero,meet(X_33,join(X_33,X_84)))) )],[refute_0_567,refute_0_568]) ).
cnf(refute_0_570,plain,
join(complement(join(top,X_84)),meet(X_33,join(X_33,X_84))) = meet(X_33,join(X_33,X_84)),
inference(resolve,[$cnf( $equal(join(zero,meet(X_33,join(X_33,X_84))),meet(X_33,join(X_33,X_84))) )],[refute_0_284,refute_0_569]) ).
cnf(refute_0_571,plain,
( X_33 != join(complement(join(top,X_84)),meet(X_33,join(X_33,X_84)))
| join(complement(join(top,X_84)),meet(X_33,join(X_33,X_84))) != meet(X_33,join(X_33,X_84))
| X_33 = meet(X_33,join(X_33,X_84)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_33,meet(X_33,join(X_33,X_84))) ),[0],$fot(join(complement(join(top,X_84)),meet(X_33,join(X_33,X_84))))]]) ).
cnf(refute_0_572,plain,
( X_33 != join(complement(join(top,X_84)),meet(X_33,join(X_33,X_84)))
| X_33 = meet(X_33,join(X_33,X_84)) ),
inference(resolve,[$cnf( $equal(join(complement(join(top,X_84)),meet(X_33,join(X_33,X_84))),meet(X_33,join(X_33,X_84))) )],[refute_0_570,refute_0_571]) ).
cnf(refute_0_573,plain,
X_33 = meet(X_33,join(X_33,X_84)),
inference(resolve,[$cnf( $equal(X_33,join(complement(join(top,X_84)),meet(X_33,join(X_33,X_84)))) )],[refute_0_189,refute_0_572]) ).
cnf(refute_0_574,plain,
complement(X_349) = meet(complement(X_349),join(complement(X_349),complement(X_350))),
inference(subst,[],[refute_0_573:[bind(X_33,$fot(complement(X_349))),bind(X_84,$fot(complement(X_350)))]]) ).
cnf(refute_0_575,plain,
join(complement(X0),complement(X1)) = join(zero,meet(join(complement(X0),complement(X1)),complement(complement(join(complement(X0),complement(X1)))))),
inference(subst,[],[refute_0_124:[bind(X_33,$fot(join(complement(X0),complement(X1))))]]) ).
cnf(refute_0_576,plain,
( complement(join(complement(X0),complement(X1))) != meet(X0,X1)
| join(complement(X0),complement(X1)) != join(zero,meet(join(complement(X0),complement(X1)),complement(complement(join(complement(X0),complement(X1))))))
| join(complement(X0),complement(X1)) = join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X0),complement(X1)),join(zero,meet(join(complement(X0),complement(X1)),complement(complement(join(complement(X0),complement(X1))))))) ),[1,1,1,0],$fot(meet(X0,X1))]]) ).
cnf(refute_0_577,plain,
( join(complement(X0),complement(X1)) != join(zero,meet(join(complement(X0),complement(X1)),complement(complement(join(complement(X0),complement(X1))))))
| join(complement(X0),complement(X1)) = join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1)))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X0),complement(X1))),meet(X0,X1)) )],[refute_0_32,refute_0_576]) ).
cnf(refute_0_578,plain,
join(complement(X0),complement(X1)) = join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1)))),
inference(resolve,[$cnf( $equal(join(complement(X0),complement(X1)),join(zero,meet(join(complement(X0),complement(X1)),complement(complement(join(complement(X0),complement(X1))))))) )],[refute_0_575,refute_0_577]) ).
cnf(refute_0_579,plain,
join(complement(complement(meet(X0,X1))),meet(X0,X1)) = join(meet(X0,X1),complement(complement(meet(X0,X1)))),
inference(subst,[],[refute_0_6:[bind(X0,$fot(meet(X0,X1))),bind(X1,$fot(complement(complement(meet(X0,X1)))))]]) ).
cnf(refute_0_580,plain,
complement(join(complement(complement(meet(X0,X1))),meet(X0,X1))) = complement(join(complement(complement(meet(X0,X1))),meet(X0,X1))),
introduced(tautology,[refl,[$fot(complement(join(complement(complement(meet(X0,X1))),meet(X0,X1))))]]) ).
cnf(refute_0_581,plain,
( complement(join(complement(complement(meet(X0,X1))),meet(X0,X1))) != complement(join(complement(complement(meet(X0,X1))),meet(X0,X1)))
| join(complement(complement(meet(X0,X1))),meet(X0,X1)) != join(meet(X0,X1),complement(complement(meet(X0,X1))))
| complement(join(complement(complement(meet(X0,X1))),meet(X0,X1))) = complement(join(meet(X0,X1),complement(complement(meet(X0,X1))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(complement(meet(X0,X1))),meet(X0,X1))),complement(join(complement(complement(meet(X0,X1))),meet(X0,X1)))) ),[1,0],$fot(join(meet(X0,X1),complement(complement(meet(X0,X1)))))]]) ).
cnf(refute_0_582,plain,
( join(complement(complement(meet(X0,X1))),meet(X0,X1)) != join(meet(X0,X1),complement(complement(meet(X0,X1))))
| complement(join(complement(complement(meet(X0,X1))),meet(X0,X1))) = complement(join(meet(X0,X1),complement(complement(meet(X0,X1))))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(complement(meet(X0,X1))),meet(X0,X1))),complement(join(complement(complement(meet(X0,X1))),meet(X0,X1)))) )],[refute_0_580,refute_0_581]) ).
cnf(refute_0_583,plain,
complement(join(complement(complement(meet(X0,X1))),meet(X0,X1))) = complement(join(meet(X0,X1),complement(complement(meet(X0,X1))))),
inference(resolve,[$cnf( $equal(join(complement(complement(meet(X0,X1))),meet(X0,X1)),join(meet(X0,X1),complement(complement(meet(X0,X1))))) )],[refute_0_579,refute_0_582]) ).
cnf(refute_0_584,plain,
meet(X0,join(complement(X_6),complement(X_7))) = complement(join(complement(X0),complement(join(complement(X_6),complement(X_7))))),
inference(subst,[],[refute_0_30:[bind(X1,$fot(join(complement(X_6),complement(X_7))))]]) ).
cnf(refute_0_585,plain,
( complement(join(complement(X_6),complement(X_7))) != meet(X_6,X_7)
| meet(X0,join(complement(X_6),complement(X_7))) != complement(join(complement(X0),complement(join(complement(X_6),complement(X_7)))))
| meet(X0,join(complement(X_6),complement(X_7))) = complement(join(complement(X0),meet(X_6,X_7))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X0,join(complement(X_6),complement(X_7))),complement(join(complement(X0),complement(join(complement(X_6),complement(X_7)))))) ),[1,0,1],$fot(meet(X_6,X_7))]]) ).
cnf(refute_0_586,plain,
( meet(X0,join(complement(X_6),complement(X_7))) != complement(join(complement(X0),complement(join(complement(X_6),complement(X_7)))))
| meet(X0,join(complement(X_6),complement(X_7))) = complement(join(complement(X0),meet(X_6,X_7))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_6),complement(X_7))),meet(X_6,X_7)) )],[refute_0_90,refute_0_585]) ).
cnf(refute_0_587,plain,
meet(X0,join(complement(X_6),complement(X_7))) = complement(join(complement(X0),meet(X_6,X_7))),
inference(resolve,[$cnf( $equal(meet(X0,join(complement(X_6),complement(X_7))),complement(join(complement(X0),complement(join(complement(X_6),complement(X_7)))))) )],[refute_0_584,refute_0_586]) ).
cnf(refute_0_588,plain,
meet(complement(meet(X0,X1)),join(complement(X0),complement(X1))) = complement(join(complement(complement(meet(X0,X1))),meet(X0,X1))),
inference(subst,[],[refute_0_587:[bind(X0,$fot(complement(meet(X0,X1)))),bind(X_6,$fot(X0)),bind(X_7,$fot(X1))]]) ).
cnf(refute_0_589,plain,
meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))) = meet(complement(meet(X0,X1)),join(complement(X0),complement(X1))),
inference(subst,[],[refute_0_129:[bind(X_6,$fot(complement(meet(X0,X1)))),bind(X_7,$fot(join(complement(X0),complement(X1))))]]) ).
cnf(refute_0_590,plain,
( meet(complement(meet(X0,X1)),join(complement(X0),complement(X1))) != complement(join(complement(complement(meet(X0,X1))),meet(X0,X1)))
| meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))) != meet(complement(meet(X0,X1)),join(complement(X0),complement(X1)))
| meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))) = complement(join(complement(complement(meet(X0,X1))),meet(X0,X1))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))))),bind(Y,$fot(meet(complement(meet(X0,X1)),join(complement(X0),complement(X1))))),bind(Z,$fot(complement(join(complement(complement(meet(X0,X1))),meet(X0,X1)))))]]) ).
cnf(refute_0_591,plain,
( meet(complement(meet(X0,X1)),join(complement(X0),complement(X1))) != complement(join(complement(complement(meet(X0,X1))),meet(X0,X1)))
| meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))) = complement(join(complement(complement(meet(X0,X1))),meet(X0,X1))) ),
inference(resolve,[$cnf( $equal(meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))),meet(complement(meet(X0,X1)),join(complement(X0),complement(X1)))) )],[refute_0_589,refute_0_590]) ).
cnf(refute_0_592,plain,
meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))) = complement(join(complement(complement(meet(X0,X1))),meet(X0,X1))),
inference(resolve,[$cnf( $equal(meet(complement(meet(X0,X1)),join(complement(X0),complement(X1))),complement(join(complement(complement(meet(X0,X1))),meet(X0,X1)))) )],[refute_0_588,refute_0_591]) ).
cnf(refute_0_593,plain,
( complement(join(complement(complement(meet(X0,X1))),meet(X0,X1))) != complement(join(meet(X0,X1),complement(complement(meet(X0,X1)))))
| meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))) != complement(join(complement(complement(meet(X0,X1))),meet(X0,X1)))
| meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))) = complement(join(meet(X0,X1),complement(complement(meet(X0,X1))))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))))),bind(Y,$fot(complement(join(complement(complement(meet(X0,X1))),meet(X0,X1))))),bind(Z,$fot(complement(join(meet(X0,X1),complement(complement(meet(X0,X1)))))))]]) ).
cnf(refute_0_594,plain,
( complement(join(complement(complement(meet(X0,X1))),meet(X0,X1))) != complement(join(meet(X0,X1),complement(complement(meet(X0,X1)))))
| meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))) = complement(join(meet(X0,X1),complement(complement(meet(X0,X1))))) ),
inference(resolve,[$cnf( $equal(meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))),complement(join(complement(complement(meet(X0,X1))),meet(X0,X1)))) )],[refute_0_592,refute_0_593]) ).
cnf(refute_0_595,plain,
meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))) = complement(join(meet(X0,X1),complement(complement(meet(X0,X1))))),
inference(resolve,[$cnf( $equal(complement(join(complement(complement(meet(X0,X1))),meet(X0,X1))),complement(join(meet(X0,X1),complement(complement(meet(X0,X1)))))) )],[refute_0_583,refute_0_594]) ).
cnf(refute_0_596,plain,
join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1)))) = join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1)))),
introduced(tautology,[refl,[$fot(join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1)))))]]) ).
cnf(refute_0_597,plain,
( join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1)))) != join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))))
| meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))) != complement(join(meet(X0,X1),complement(complement(meet(X0,X1)))))
| join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1)))) = join(zero,complement(join(meet(X0,X1),complement(complement(meet(X0,X1)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1)))),join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))))) ),[1,1],$fot(complement(join(meet(X0,X1),complement(complement(meet(X0,X1))))))]]) ).
cnf(refute_0_598,plain,
( meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))) != complement(join(meet(X0,X1),complement(complement(meet(X0,X1)))))
| join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1)))) = join(zero,complement(join(meet(X0,X1),complement(complement(meet(X0,X1)))))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1)))),join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))))) )],[refute_0_596,refute_0_597]) ).
cnf(refute_0_599,plain,
join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1)))) = join(zero,complement(join(meet(X0,X1),complement(complement(meet(X0,X1)))))),
inference(resolve,[$cnf( $equal(meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))),complement(join(meet(X0,X1),complement(complement(meet(X0,X1)))))) )],[refute_0_595,refute_0_598]) ).
cnf(refute_0_600,plain,
( join(complement(X0),complement(X1)) != join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))))
| join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1)))) != join(zero,complement(join(meet(X0,X1),complement(complement(meet(X0,X1))))))
| join(complement(X0),complement(X1)) = join(zero,complement(join(meet(X0,X1),complement(complement(meet(X0,X1)))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(complement(X0),complement(X1)),join(zero,complement(join(meet(X0,X1),complement(complement(meet(X0,X1))))))) ),[0],$fot(join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1)))))]]) ).
cnf(refute_0_601,plain,
( join(complement(X0),complement(X1)) != join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))))
| join(complement(X0),complement(X1)) = join(zero,complement(join(meet(X0,X1),complement(complement(meet(X0,X1)))))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1)))),join(zero,complement(join(meet(X0,X1),complement(complement(meet(X0,X1))))))) )],[refute_0_599,refute_0_600]) ).
cnf(refute_0_602,plain,
join(complement(X0),complement(X1)) = join(zero,complement(join(meet(X0,X1),complement(complement(meet(X0,X1)))))),
inference(resolve,[$cnf( $equal(join(complement(X0),complement(X1)),join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))))) )],[refute_0_578,refute_0_601]) ).
cnf(refute_0_603,plain,
complement(X_53) = join(meet(X_53,complement(X_53)),complement(join(complement(complement(X_53)),X_53))),
inference(subst,[],[refute_0_152:[bind(X_33,$fot(complement(X_53))),bind(X_34,$fot(X_53))]]) ).
cnf(refute_0_604,plain,
zero = meet(X_53,complement(X_53)),
inference(subst,[],[refute_0_73:[bind(X0,$fot(X_53))]]) ).
cnf(refute_0_605,plain,
( zero != meet(X_53,complement(X_53))
| meet(X_53,complement(X_53)) = zero ),
inference(subst,[],[refute_0_4:[bind(X,$fot(zero)),bind(Y,$fot(meet(X_53,complement(X_53))))]]) ).
cnf(refute_0_606,plain,
meet(X_53,complement(X_53)) = zero,
inference(resolve,[$cnf( $equal(zero,meet(X_53,complement(X_53))) )],[refute_0_604,refute_0_605]) ).
cnf(refute_0_607,plain,
( complement(X_53) != join(meet(X_53,complement(X_53)),complement(join(complement(complement(X_53)),X_53)))
| meet(X_53,complement(X_53)) != zero
| complement(X_53) = join(zero,complement(join(complement(complement(X_53)),X_53))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(X_53),join(meet(X_53,complement(X_53)),complement(join(complement(complement(X_53)),X_53)))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_608,plain,
( complement(X_53) != join(meet(X_53,complement(X_53)),complement(join(complement(complement(X_53)),X_53)))
| complement(X_53) = join(zero,complement(join(complement(complement(X_53)),X_53))) ),
inference(resolve,[$cnf( $equal(meet(X_53,complement(X_53)),zero) )],[refute_0_606,refute_0_607]) ).
cnf(refute_0_609,plain,
complement(X_53) = join(zero,complement(join(complement(complement(X_53)),X_53))),
inference(resolve,[$cnf( $equal(complement(X_53),join(meet(X_53,complement(X_53)),complement(join(complement(complement(X_53)),X_53)))) )],[refute_0_603,refute_0_608]) ).
cnf(refute_0_610,plain,
join(complement(complement(X_53)),X_53) = join(X_53,complement(complement(X_53))),
inference(subst,[],[refute_0_6:[bind(X0,$fot(X_53)),bind(X1,$fot(complement(complement(X_53))))]]) ).
cnf(refute_0_611,plain,
complement(join(complement(complement(X_53)),X_53)) = complement(join(complement(complement(X_53)),X_53)),
introduced(tautology,[refl,[$fot(complement(join(complement(complement(X_53)),X_53)))]]) ).
cnf(refute_0_612,plain,
( complement(join(complement(complement(X_53)),X_53)) != complement(join(complement(complement(X_53)),X_53))
| join(complement(complement(X_53)),X_53) != join(X_53,complement(complement(X_53)))
| complement(join(complement(complement(X_53)),X_53)) = complement(join(X_53,complement(complement(X_53)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(complement(X_53)),X_53)),complement(join(complement(complement(X_53)),X_53))) ),[1,0],$fot(join(X_53,complement(complement(X_53))))]]) ).
cnf(refute_0_613,plain,
( join(complement(complement(X_53)),X_53) != join(X_53,complement(complement(X_53)))
| complement(join(complement(complement(X_53)),X_53)) = complement(join(X_53,complement(complement(X_53)))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(complement(X_53)),X_53)),complement(join(complement(complement(X_53)),X_53))) )],[refute_0_611,refute_0_612]) ).
cnf(refute_0_614,plain,
complement(join(complement(complement(X_53)),X_53)) = complement(join(X_53,complement(complement(X_53)))),
inference(resolve,[$cnf( $equal(join(complement(complement(X_53)),X_53),join(X_53,complement(complement(X_53)))) )],[refute_0_610,refute_0_613]) ).
cnf(refute_0_615,plain,
join(zero,complement(join(complement(complement(X_53)),X_53))) = join(zero,complement(join(complement(complement(X_53)),X_53))),
introduced(tautology,[refl,[$fot(join(zero,complement(join(complement(complement(X_53)),X_53))))]]) ).
cnf(refute_0_616,plain,
( complement(join(complement(complement(X_53)),X_53)) != complement(join(X_53,complement(complement(X_53))))
| join(zero,complement(join(complement(complement(X_53)),X_53))) != join(zero,complement(join(complement(complement(X_53)),X_53)))
| join(zero,complement(join(complement(complement(X_53)),X_53))) = join(zero,complement(join(X_53,complement(complement(X_53))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,complement(join(complement(complement(X_53)),X_53))),join(zero,complement(join(complement(complement(X_53)),X_53)))) ),[1,1],$fot(complement(join(X_53,complement(complement(X_53)))))]]) ).
cnf(refute_0_617,plain,
( complement(join(complement(complement(X_53)),X_53)) != complement(join(X_53,complement(complement(X_53))))
| join(zero,complement(join(complement(complement(X_53)),X_53))) = join(zero,complement(join(X_53,complement(complement(X_53))))) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(complement(complement(X_53)),X_53))),join(zero,complement(join(complement(complement(X_53)),X_53)))) )],[refute_0_615,refute_0_616]) ).
cnf(refute_0_618,plain,
join(zero,complement(join(complement(complement(X_53)),X_53))) = join(zero,complement(join(X_53,complement(complement(X_53))))),
inference(resolve,[$cnf( $equal(complement(join(complement(complement(X_53)),X_53)),complement(join(X_53,complement(complement(X_53))))) )],[refute_0_614,refute_0_617]) ).
cnf(refute_0_619,plain,
( complement(X_53) != join(zero,complement(join(complement(complement(X_53)),X_53)))
| join(zero,complement(join(complement(complement(X_53)),X_53))) != join(zero,complement(join(X_53,complement(complement(X_53)))))
| complement(X_53) = join(zero,complement(join(X_53,complement(complement(X_53))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(X_53),join(zero,complement(join(X_53,complement(complement(X_53)))))) ),[0],$fot(join(zero,complement(join(complement(complement(X_53)),X_53))))]]) ).
cnf(refute_0_620,plain,
( complement(X_53) != join(zero,complement(join(complement(complement(X_53)),X_53)))
| complement(X_53) = join(zero,complement(join(X_53,complement(complement(X_53))))) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(complement(complement(X_53)),X_53))),join(zero,complement(join(X_53,complement(complement(X_53)))))) )],[refute_0_618,refute_0_619]) ).
cnf(refute_0_621,plain,
complement(X_53) = join(zero,complement(join(X_53,complement(complement(X_53))))),
inference(resolve,[$cnf( $equal(complement(X_53),join(zero,complement(join(complement(complement(X_53)),X_53)))) )],[refute_0_609,refute_0_620]) ).
cnf(refute_0_622,plain,
( complement(X_53) != join(zero,complement(join(X_53,complement(complement(X_53)))))
| join(zero,complement(join(X_53,complement(complement(X_53))))) = complement(X_53) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(complement(X_53))),bind(Y,$fot(join(zero,complement(join(X_53,complement(complement(X_53)))))))]]) ).
cnf(refute_0_623,plain,
join(zero,complement(join(X_53,complement(complement(X_53))))) = complement(X_53),
inference(resolve,[$cnf( $equal(complement(X_53),join(zero,complement(join(X_53,complement(complement(X_53)))))) )],[refute_0_621,refute_0_622]) ).
cnf(refute_0_624,plain,
join(zero,complement(join(meet(X0,X1),complement(complement(meet(X0,X1)))))) = complement(meet(X0,X1)),
inference(subst,[],[refute_0_623:[bind(X_53,$fot(meet(X0,X1)))]]) ).
cnf(refute_0_625,plain,
( join(complement(X0),complement(X1)) != join(zero,complement(join(meet(X0,X1),complement(complement(meet(X0,X1))))))
| join(zero,complement(join(meet(X0,X1),complement(complement(meet(X0,X1)))))) != complement(meet(X0,X1))
| join(complement(X0),complement(X1)) = complement(meet(X0,X1)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(complement(X0),complement(X1)),complement(meet(X0,X1))) ),[0],$fot(join(zero,complement(join(meet(X0,X1),complement(complement(meet(X0,X1)))))))]]) ).
cnf(refute_0_626,plain,
( join(complement(X0),complement(X1)) != join(zero,complement(join(meet(X0,X1),complement(complement(meet(X0,X1))))))
| join(complement(X0),complement(X1)) = complement(meet(X0,X1)) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(meet(X0,X1),complement(complement(meet(X0,X1)))))),complement(meet(X0,X1))) )],[refute_0_624,refute_0_625]) ).
cnf(refute_0_627,plain,
join(complement(X0),complement(X1)) = complement(meet(X0,X1)),
inference(resolve,[$cnf( $equal(join(complement(X0),complement(X1)),join(zero,complement(join(meet(X0,X1),complement(complement(meet(X0,X1))))))) )],[refute_0_602,refute_0_626]) ).
cnf(refute_0_628,plain,
join(complement(X_349),complement(X_350)) = complement(meet(X_349,X_350)),
inference(subst,[],[refute_0_627:[bind(X0,$fot(X_349)),bind(X1,$fot(X_350))]]) ).
cnf(refute_0_629,plain,
( complement(X_349) != meet(complement(X_349),join(complement(X_349),complement(X_350)))
| join(complement(X_349),complement(X_350)) != complement(meet(X_349,X_350))
| complement(X_349) = meet(complement(X_349),complement(meet(X_349,X_350))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(X_349),meet(complement(X_349),join(complement(X_349),complement(X_350)))) ),[1,1],$fot(complement(meet(X_349,X_350)))]]) ).
cnf(refute_0_630,plain,
( complement(X_349) != meet(complement(X_349),join(complement(X_349),complement(X_350)))
| complement(X_349) = meet(complement(X_349),complement(meet(X_349,X_350))) ),
inference(resolve,[$cnf( $equal(join(complement(X_349),complement(X_350)),complement(meet(X_349,X_350))) )],[refute_0_628,refute_0_629]) ).
cnf(refute_0_631,plain,
complement(X_349) = meet(complement(X_349),complement(meet(X_349,X_350))),
inference(resolve,[$cnf( $equal(complement(X_349),meet(complement(X_349),join(complement(X_349),complement(X_350)))) )],[refute_0_574,refute_0_630]) ).
cnf(refute_0_632,plain,
join(complement(X_6),complement(X_7)) = complement(meet(X_6,X_7)),
inference(subst,[],[refute_0_627:[bind(X0,$fot(X_6)),bind(X1,$fot(X_7))]]) ).
cnf(refute_0_633,plain,
meet(join(complement(X_6),complement(X_7)),X1) = meet(join(complement(X_6),complement(X_7)),X1),
introduced(tautology,[refl,[$fot(meet(join(complement(X_6),complement(X_7)),X1))]]) ).
cnf(refute_0_634,plain,
( join(complement(X_6),complement(X_7)) != complement(meet(X_6,X_7))
| meet(join(complement(X_6),complement(X_7)),X1) != meet(join(complement(X_6),complement(X_7)),X1)
| meet(join(complement(X_6),complement(X_7)),X1) = meet(complement(meet(X_6,X_7)),X1) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(complement(X_6),complement(X_7)),X1),meet(join(complement(X_6),complement(X_7)),X1)) ),[1,0],$fot(complement(meet(X_6,X_7)))]]) ).
cnf(refute_0_635,plain,
( join(complement(X_6),complement(X_7)) != complement(meet(X_6,X_7))
| meet(join(complement(X_6),complement(X_7)),X1) = meet(complement(meet(X_6,X_7)),X1) ),
inference(resolve,[$cnf( $equal(meet(join(complement(X_6),complement(X_7)),X1),meet(join(complement(X_6),complement(X_7)),X1)) )],[refute_0_633,refute_0_634]) ).
cnf(refute_0_636,plain,
meet(join(complement(X_6),complement(X_7)),X1) = meet(complement(meet(X_6,X_7)),X1),
inference(resolve,[$cnf( $equal(join(complement(X_6),complement(X_7)),complement(meet(X_6,X_7))) )],[refute_0_632,refute_0_635]) ).
cnf(refute_0_637,plain,
( meet(join(complement(X_6),complement(X_7)),X1) != complement(join(meet(X_6,X_7),complement(X1)))
| meet(join(complement(X_6),complement(X_7)),X1) != meet(complement(meet(X_6,X_7)),X1)
| meet(complement(meet(X_6,X_7)),X1) = complement(join(meet(X_6,X_7),complement(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(complement(X_6),complement(X_7)),X1),complement(join(meet(X_6,X_7),complement(X1)))) ),[0],$fot(meet(complement(meet(X_6,X_7)),X1))]]) ).
cnf(refute_0_638,plain,
( meet(join(complement(X_6),complement(X_7)),X1) != complement(join(meet(X_6,X_7),complement(X1)))
| meet(complement(meet(X_6,X_7)),X1) = complement(join(meet(X_6,X_7),complement(X1))) ),
inference(resolve,[$cnf( $equal(meet(join(complement(X_6),complement(X_7)),X1),meet(complement(meet(X_6,X_7)),X1)) )],[refute_0_636,refute_0_637]) ).
cnf(refute_0_639,plain,
meet(complement(meet(X_6,X_7)),X1) = complement(join(meet(X_6,X_7),complement(X1))),
inference(resolve,[$cnf( $equal(meet(join(complement(X_6),complement(X_7)),X1),complement(join(meet(X_6,X_7),complement(X1)))) )],[refute_0_104,refute_0_638]) ).
cnf(refute_0_640,plain,
meet(complement(meet(top,X_186)),X_184) = complement(join(meet(top,X_186),complement(X_184))),
inference(subst,[],[refute_0_639:[bind(X1,$fot(X_184)),bind(X_6,$fot(top)),bind(X_7,$fot(X_186))]]) ).
cnf(refute_0_641,plain,
complement(complement(meet(top,complement(meet(meet(X_90,top),meet(top,X_90)))))) = meet(top,complement(meet(meet(X_90,top),meet(top,X_90)))),
inference(subst,[],[refute_0_144:[bind(X_70,$fot(meet(top,complement(meet(meet(X_90,top),meet(top,X_90))))))]]) ).
cnf(refute_0_642,plain,
meet(X_31,top) = join(meet(meet(X_31,top),join(zero,complement(X_31))),complement(join(complement(meet(X_31,top)),join(zero,complement(X_31))))),
inference(subst,[],[refute_0_42:[bind(X0,$fot(meet(X_31,top))),bind(X1,$fot(join(zero,complement(X_31))))]]) ).
cnf(refute_0_643,plain,
zero = meet(join(zero,complement(X_10)),complement(join(zero,complement(X_10)))),
inference(subst,[],[refute_0_73:[bind(X0,$fot(join(zero,complement(X_10))))]]) ).
cnf(refute_0_644,plain,
meet(top,X_10) = complement(join(zero,complement(X_10))),
inference(subst,[],[refute_0_318:[bind(X1,$fot(X_10))]]) ).
cnf(refute_0_645,plain,
( meet(top,X_10) != complement(join(zero,complement(X_10)))
| complement(join(zero,complement(X_10))) = meet(top,X_10) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(meet(top,X_10))),bind(Y,$fot(complement(join(zero,complement(X_10)))))]]) ).
cnf(refute_0_646,plain,
complement(join(zero,complement(X_10))) = meet(top,X_10),
inference(resolve,[$cnf( $equal(meet(top,X_10),complement(join(zero,complement(X_10)))) )],[refute_0_644,refute_0_645]) ).
cnf(refute_0_647,plain,
( complement(join(zero,complement(X_10))) != meet(top,X_10)
| zero != meet(join(zero,complement(X_10)),complement(join(zero,complement(X_10))))
| zero = meet(join(zero,complement(X_10)),meet(top,X_10)) ),
introduced(tautology,[equality,[$cnf( $equal(zero,meet(join(zero,complement(X_10)),complement(join(zero,complement(X_10))))) ),[1,1],$fot(meet(top,X_10))]]) ).
cnf(refute_0_648,plain,
( zero != meet(join(zero,complement(X_10)),complement(join(zero,complement(X_10))))
| zero = meet(join(zero,complement(X_10)),meet(top,X_10)) ),
inference(resolve,[$cnf( $equal(complement(join(zero,complement(X_10))),meet(top,X_10)) )],[refute_0_646,refute_0_647]) ).
cnf(refute_0_649,plain,
zero = meet(join(zero,complement(X_10)),meet(top,X_10)),
inference(resolve,[$cnf( $equal(zero,meet(join(zero,complement(X_10)),complement(join(zero,complement(X_10))))) )],[refute_0_643,refute_0_648]) ).
cnf(refute_0_650,plain,
meet(join(zero,complement(X_10)),meet(top,X_10)) = meet(meet(top,X_10),join(zero,complement(X_10))),
inference(subst,[],[refute_0_129:[bind(X_6,$fot(meet(top,X_10))),bind(X_7,$fot(join(zero,complement(X_10))))]]) ).
cnf(refute_0_651,plain,
( meet(join(zero,complement(X_10)),meet(top,X_10)) != meet(meet(top,X_10),join(zero,complement(X_10)))
| zero != meet(join(zero,complement(X_10)),meet(top,X_10))
| zero = meet(meet(top,X_10),join(zero,complement(X_10))) ),
introduced(tautology,[equality,[$cnf( $equal(zero,meet(join(zero,complement(X_10)),meet(top,X_10))) ),[1],$fot(meet(meet(top,X_10),join(zero,complement(X_10))))]]) ).
cnf(refute_0_652,plain,
( zero != meet(join(zero,complement(X_10)),meet(top,X_10))
| zero = meet(meet(top,X_10),join(zero,complement(X_10))) ),
inference(resolve,[$cnf( $equal(meet(join(zero,complement(X_10)),meet(top,X_10)),meet(meet(top,X_10),join(zero,complement(X_10)))) )],[refute_0_650,refute_0_651]) ).
cnf(refute_0_653,plain,
zero = meet(meet(top,X_10),join(zero,complement(X_10))),
inference(resolve,[$cnf( $equal(zero,meet(join(zero,complement(X_10)),meet(top,X_10))) )],[refute_0_649,refute_0_652]) ).
cnf(refute_0_654,plain,
zero = meet(meet(top,X_31),join(zero,complement(X_31))),
inference(subst,[],[refute_0_653:[bind(X_10,$fot(X_31))]]) ).
cnf(refute_0_655,plain,
meet(X_31,top) = meet(top,X_31),
inference(subst,[],[refute_0_65:[bind(X_6,$fot(X_31)),bind(X_7,$fot(top))]]) ).
cnf(refute_0_656,plain,
( meet(X_31,top) != meet(top,X_31)
| meet(top,X_31) = meet(X_31,top) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(meet(X_31,top))),bind(Y,$fot(meet(top,X_31)))]]) ).
cnf(refute_0_657,plain,
meet(top,X_31) = meet(X_31,top),
inference(resolve,[$cnf( $equal(meet(X_31,top),meet(top,X_31)) )],[refute_0_655,refute_0_656]) ).
cnf(refute_0_658,plain,
( meet(top,X_31) != meet(X_31,top)
| zero != meet(meet(top,X_31),join(zero,complement(X_31)))
| zero = meet(meet(X_31,top),join(zero,complement(X_31))) ),
introduced(tautology,[equality,[$cnf( $equal(zero,meet(meet(top,X_31),join(zero,complement(X_31)))) ),[1,0],$fot(meet(X_31,top))]]) ).
cnf(refute_0_659,plain,
( zero != meet(meet(top,X_31),join(zero,complement(X_31)))
| zero = meet(meet(X_31,top),join(zero,complement(X_31))) ),
inference(resolve,[$cnf( $equal(meet(top,X_31),meet(X_31,top)) )],[refute_0_657,refute_0_658]) ).
cnf(refute_0_660,plain,
zero = meet(meet(X_31,top),join(zero,complement(X_31))),
inference(resolve,[$cnf( $equal(zero,meet(meet(top,X_31),join(zero,complement(X_31)))) )],[refute_0_654,refute_0_659]) ).
cnf(refute_0_661,plain,
( zero != meet(meet(X_31,top),join(zero,complement(X_31)))
| meet(meet(X_31,top),join(zero,complement(X_31))) = zero ),
inference(subst,[],[refute_0_4:[bind(X,$fot(zero)),bind(Y,$fot(meet(meet(X_31,top),join(zero,complement(X_31)))))]]) ).
cnf(refute_0_662,plain,
meet(meet(X_31,top),join(zero,complement(X_31))) = zero,
inference(resolve,[$cnf( $equal(zero,meet(meet(X_31,top),join(zero,complement(X_31)))) )],[refute_0_660,refute_0_661]) ).
cnf(refute_0_663,plain,
( meet(X_31,top) != join(meet(meet(X_31,top),join(zero,complement(X_31))),complement(join(complement(meet(X_31,top)),join(zero,complement(X_31)))))
| meet(meet(X_31,top),join(zero,complement(X_31))) != zero
| meet(X_31,top) = join(zero,complement(join(complement(meet(X_31,top)),join(zero,complement(X_31))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_31,top),join(meet(meet(X_31,top),join(zero,complement(X_31))),complement(join(complement(meet(X_31,top)),join(zero,complement(X_31)))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_664,plain,
( meet(X_31,top) != join(meet(meet(X_31,top),join(zero,complement(X_31))),complement(join(complement(meet(X_31,top)),join(zero,complement(X_31)))))
| meet(X_31,top) = join(zero,complement(join(complement(meet(X_31,top)),join(zero,complement(X_31))))) ),
inference(resolve,[$cnf( $equal(meet(meet(X_31,top),join(zero,complement(X_31))),zero) )],[refute_0_662,refute_0_663]) ).
cnf(refute_0_665,plain,
meet(X_31,top) = join(zero,complement(join(complement(meet(X_31,top)),join(zero,complement(X_31))))),
inference(resolve,[$cnf( $equal(meet(X_31,top),join(meet(meet(X_31,top),join(zero,complement(X_31))),complement(join(complement(meet(X_31,top)),join(zero,complement(X_31)))))) )],[refute_0_642,refute_0_664]) ).
cnf(refute_0_666,plain,
join(complement(meet(X_31,top)),complement(meet(top,X_31))) = complement(meet(meet(X_31,top),meet(top,X_31))),
inference(subst,[],[refute_0_627:[bind(X0,$fot(meet(X_31,top))),bind(X1,$fot(meet(top,X_31)))]]) ).
cnf(refute_0_667,plain,
join(zero,complement(X1)) = join(zero,meet(join(zero,complement(X1)),complement(complement(join(zero,complement(X1)))))),
inference(subst,[],[refute_0_124:[bind(X_33,$fot(join(zero,complement(X1))))]]) ).
cnf(refute_0_668,plain,
( complement(join(zero,complement(X1))) != meet(top,X1)
| join(zero,complement(X1)) != join(zero,meet(join(zero,complement(X1)),complement(complement(join(zero,complement(X1))))))
| join(zero,complement(X1)) = join(zero,meet(join(zero,complement(X1)),complement(meet(top,X1)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,complement(X1)),join(zero,meet(join(zero,complement(X1)),complement(complement(join(zero,complement(X1))))))) ),[1,1,1,0],$fot(meet(top,X1))]]) ).
cnf(refute_0_669,plain,
( join(zero,complement(X1)) != join(zero,meet(join(zero,complement(X1)),complement(complement(join(zero,complement(X1))))))
| join(zero,complement(X1)) = join(zero,meet(join(zero,complement(X1)),complement(meet(top,X1)))) ),
inference(resolve,[$cnf( $equal(complement(join(zero,complement(X1))),meet(top,X1)) )],[refute_0_320,refute_0_668]) ).
cnf(refute_0_670,plain,
join(zero,complement(X1)) = join(zero,meet(join(zero,complement(X1)),complement(meet(top,X1)))),
inference(resolve,[$cnf( $equal(join(zero,complement(X1)),join(zero,meet(join(zero,complement(X1)),complement(complement(join(zero,complement(X1))))))) )],[refute_0_667,refute_0_669]) ).
cnf(refute_0_671,plain,
meet(join(zero,complement(X1)),complement(meet(top,X1))) = meet(complement(meet(top,X1)),join(zero,complement(X1))),
inference(subst,[],[refute_0_129:[bind(X_6,$fot(complement(meet(top,X1)))),bind(X_7,$fot(join(zero,complement(X1))))]]) ).
cnf(refute_0_672,plain,
join(zero,meet(join(zero,complement(X1)),complement(meet(top,X1)))) = join(zero,meet(join(zero,complement(X1)),complement(meet(top,X1)))),
introduced(tautology,[refl,[$fot(join(zero,meet(join(zero,complement(X1)),complement(meet(top,X1)))))]]) ).
cnf(refute_0_673,plain,
( join(zero,meet(join(zero,complement(X1)),complement(meet(top,X1)))) != join(zero,meet(join(zero,complement(X1)),complement(meet(top,X1))))
| meet(join(zero,complement(X1)),complement(meet(top,X1))) != meet(complement(meet(top,X1)),join(zero,complement(X1)))
| join(zero,meet(join(zero,complement(X1)),complement(meet(top,X1)))) = join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(join(zero,complement(X1)),complement(meet(top,X1)))),join(zero,meet(join(zero,complement(X1)),complement(meet(top,X1))))) ),[1,1],$fot(meet(complement(meet(top,X1)),join(zero,complement(X1))))]]) ).
cnf(refute_0_674,plain,
( meet(join(zero,complement(X1)),complement(meet(top,X1))) != meet(complement(meet(top,X1)),join(zero,complement(X1)))
| join(zero,meet(join(zero,complement(X1)),complement(meet(top,X1)))) = join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1)))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(join(zero,complement(X1)),complement(meet(top,X1)))),join(zero,meet(join(zero,complement(X1)),complement(meet(top,X1))))) )],[refute_0_672,refute_0_673]) ).
cnf(refute_0_675,plain,
join(zero,meet(join(zero,complement(X1)),complement(meet(top,X1)))) = join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1)))),
inference(resolve,[$cnf( $equal(meet(join(zero,complement(X1)),complement(meet(top,X1))),meet(complement(meet(top,X1)),join(zero,complement(X1)))) )],[refute_0_671,refute_0_674]) ).
cnf(refute_0_676,plain,
( join(zero,complement(X1)) != join(zero,meet(join(zero,complement(X1)),complement(meet(top,X1))))
| join(zero,meet(join(zero,complement(X1)),complement(meet(top,X1)))) != join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1))))
| join(zero,complement(X1)) = join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(zero,complement(X1)),join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1))))) ),[0],$fot(join(zero,meet(join(zero,complement(X1)),complement(meet(top,X1)))))]]) ).
cnf(refute_0_677,plain,
( join(zero,complement(X1)) != join(zero,meet(join(zero,complement(X1)),complement(meet(top,X1))))
| join(zero,complement(X1)) = join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1)))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(join(zero,complement(X1)),complement(meet(top,X1)))),join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1))))) )],[refute_0_675,refute_0_676]) ).
cnf(refute_0_678,plain,
join(zero,complement(X1)) = join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1)))),
inference(resolve,[$cnf( $equal(join(zero,complement(X1)),join(zero,meet(join(zero,complement(X1)),complement(meet(top,X1))))) )],[refute_0_670,refute_0_677]) ).
cnf(refute_0_679,plain,
X_33 = join(meet(X_33,complement(X_33)),complement(join(complement(X_33),complement(X_33)))),
inference(subst,[],[refute_0_42:[bind(X0,$fot(X_33)),bind(X1,$fot(complement(X_33)))]]) ).
cnf(refute_0_680,plain,
zero = meet(X_33,complement(X_33)),
inference(subst,[],[refute_0_73:[bind(X0,$fot(X_33))]]) ).
cnf(refute_0_681,plain,
( zero != meet(X_33,complement(X_33))
| meet(X_33,complement(X_33)) = zero ),
inference(subst,[],[refute_0_4:[bind(X,$fot(zero)),bind(Y,$fot(meet(X_33,complement(X_33))))]]) ).
cnf(refute_0_682,plain,
meet(X_33,complement(X_33)) = zero,
inference(resolve,[$cnf( $equal(zero,meet(X_33,complement(X_33))) )],[refute_0_680,refute_0_681]) ).
cnf(refute_0_683,plain,
( X_33 != join(meet(X_33,complement(X_33)),complement(join(complement(X_33),complement(X_33))))
| meet(X_33,complement(X_33)) != zero
| X_33 = join(zero,complement(join(complement(X_33),complement(X_33)))) ),
introduced(tautology,[equality,[$cnf( $equal(X_33,join(meet(X_33,complement(X_33)),complement(join(complement(X_33),complement(X_33))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_684,plain,
( X_33 != join(meet(X_33,complement(X_33)),complement(join(complement(X_33),complement(X_33))))
| X_33 = join(zero,complement(join(complement(X_33),complement(X_33)))) ),
inference(resolve,[$cnf( $equal(meet(X_33,complement(X_33)),zero) )],[refute_0_682,refute_0_683]) ).
cnf(refute_0_685,plain,
X_33 = join(zero,complement(join(complement(X_33),complement(X_33)))),
inference(resolve,[$cnf( $equal(X_33,join(meet(X_33,complement(X_33)),complement(join(complement(X_33),complement(X_33))))) )],[refute_0_679,refute_0_684]) ).
cnf(refute_0_686,plain,
complement(join(complement(X_33),complement(X_33))) = meet(X_33,X_33),
inference(subst,[],[refute_0_32:[bind(X0,$fot(X_33)),bind(X1,$fot(X_33))]]) ).
cnf(refute_0_687,plain,
join(zero,complement(join(complement(X_33),complement(X_33)))) = join(zero,complement(join(complement(X_33),complement(X_33)))),
introduced(tautology,[refl,[$fot(join(zero,complement(join(complement(X_33),complement(X_33)))))]]) ).
cnf(refute_0_688,plain,
( complement(join(complement(X_33),complement(X_33))) != meet(X_33,X_33)
| join(zero,complement(join(complement(X_33),complement(X_33)))) != join(zero,complement(join(complement(X_33),complement(X_33))))
| join(zero,complement(join(complement(X_33),complement(X_33)))) = join(zero,meet(X_33,X_33)) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,complement(join(complement(X_33),complement(X_33)))),join(zero,complement(join(complement(X_33),complement(X_33))))) ),[1,1],$fot(meet(X_33,X_33))]]) ).
cnf(refute_0_689,plain,
( complement(join(complement(X_33),complement(X_33))) != meet(X_33,X_33)
| join(zero,complement(join(complement(X_33),complement(X_33)))) = join(zero,meet(X_33,X_33)) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(complement(X_33),complement(X_33)))),join(zero,complement(join(complement(X_33),complement(X_33))))) )],[refute_0_687,refute_0_688]) ).
cnf(refute_0_690,plain,
join(zero,complement(join(complement(X_33),complement(X_33)))) = join(zero,meet(X_33,X_33)),
inference(resolve,[$cnf( $equal(complement(join(complement(X_33),complement(X_33))),meet(X_33,X_33)) )],[refute_0_686,refute_0_689]) ).
cnf(refute_0_691,plain,
( X_33 != join(zero,complement(join(complement(X_33),complement(X_33))))
| join(zero,complement(join(complement(X_33),complement(X_33)))) != join(zero,meet(X_33,X_33))
| X_33 = join(zero,meet(X_33,X_33)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_33,join(zero,meet(X_33,X_33))) ),[0],$fot(join(zero,complement(join(complement(X_33),complement(X_33)))))]]) ).
cnf(refute_0_692,plain,
( X_33 != join(zero,complement(join(complement(X_33),complement(X_33))))
| X_33 = join(zero,meet(X_33,X_33)) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(complement(X_33),complement(X_33)))),join(zero,meet(X_33,X_33))) )],[refute_0_690,refute_0_691]) ).
cnf(refute_0_693,plain,
X_33 = join(zero,meet(X_33,X_33)),
inference(resolve,[$cnf( $equal(X_33,join(zero,complement(join(complement(X_33),complement(X_33))))) )],[refute_0_685,refute_0_692]) ).
cnf(refute_0_694,plain,
( X_33 != join(zero,meet(X_33,X_33))
| join(zero,meet(X_33,X_33)) = X_33 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(X_33)),bind(Y,$fot(join(zero,meet(X_33,X_33))))]]) ).
cnf(refute_0_695,plain,
join(zero,meet(X_33,X_33)) = X_33,
inference(resolve,[$cnf( $equal(X_33,join(zero,meet(X_33,X_33))) )],[refute_0_693,refute_0_694]) ).
cnf(refute_0_696,plain,
join(zero,meet(complement(meet(top,X1)),complement(meet(top,X1)))) = complement(meet(top,X1)),
inference(subst,[],[refute_0_695:[bind(X_33,$fot(complement(meet(top,X1))))]]) ).
cnf(refute_0_697,plain,
meet(X0,join(zero,complement(X_10))) = complement(join(complement(X0),complement(join(zero,complement(X_10))))),
inference(subst,[],[refute_0_30:[bind(X1,$fot(join(zero,complement(X_10))))]]) ).
cnf(refute_0_698,plain,
( complement(join(zero,complement(X_10))) != meet(top,X_10)
| meet(X0,join(zero,complement(X_10))) != complement(join(complement(X0),complement(join(zero,complement(X_10)))))
| meet(X0,join(zero,complement(X_10))) = complement(join(complement(X0),meet(top,X_10))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X0,join(zero,complement(X_10))),complement(join(complement(X0),complement(join(zero,complement(X_10)))))) ),[1,0,1],$fot(meet(top,X_10))]]) ).
cnf(refute_0_699,plain,
( meet(X0,join(zero,complement(X_10))) != complement(join(complement(X0),complement(join(zero,complement(X_10)))))
| meet(X0,join(zero,complement(X_10))) = complement(join(complement(X0),meet(top,X_10))) ),
inference(resolve,[$cnf( $equal(complement(join(zero,complement(X_10))),meet(top,X_10)) )],[refute_0_646,refute_0_698]) ).
cnf(refute_0_700,plain,
meet(X0,join(zero,complement(X_10))) = complement(join(complement(X0),meet(top,X_10))),
inference(resolve,[$cnf( $equal(meet(X0,join(zero,complement(X_10))),complement(join(complement(X0),complement(join(zero,complement(X_10)))))) )],[refute_0_697,refute_0_699]) ).
cnf(refute_0_701,plain,
meet(X0,join(complement(X_6),complement(X_7))) = meet(X0,join(complement(X_6),complement(X_7))),
introduced(tautology,[refl,[$fot(meet(X0,join(complement(X_6),complement(X_7))))]]) ).
cnf(refute_0_702,plain,
( join(complement(X_6),complement(X_7)) != complement(meet(X_6,X_7))
| meet(X0,join(complement(X_6),complement(X_7))) != meet(X0,join(complement(X_6),complement(X_7)))
| meet(X0,join(complement(X_6),complement(X_7))) = meet(X0,complement(meet(X_6,X_7))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X0,join(complement(X_6),complement(X_7))),meet(X0,join(complement(X_6),complement(X_7)))) ),[1,1],$fot(complement(meet(X_6,X_7)))]]) ).
cnf(refute_0_703,plain,
( join(complement(X_6),complement(X_7)) != complement(meet(X_6,X_7))
| meet(X0,join(complement(X_6),complement(X_7))) = meet(X0,complement(meet(X_6,X_7))) ),
inference(resolve,[$cnf( $equal(meet(X0,join(complement(X_6),complement(X_7))),meet(X0,join(complement(X_6),complement(X_7)))) )],[refute_0_701,refute_0_702]) ).
cnf(refute_0_704,plain,
meet(X0,join(complement(X_6),complement(X_7))) = meet(X0,complement(meet(X_6,X_7))),
inference(resolve,[$cnf( $equal(join(complement(X_6),complement(X_7)),complement(meet(X_6,X_7))) )],[refute_0_632,refute_0_703]) ).
cnf(refute_0_705,plain,
( meet(X0,join(complement(X_6),complement(X_7))) != complement(join(complement(X0),meet(X_6,X_7)))
| meet(X0,join(complement(X_6),complement(X_7))) != meet(X0,complement(meet(X_6,X_7)))
| meet(X0,complement(meet(X_6,X_7))) = complement(join(complement(X0),meet(X_6,X_7))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X0,join(complement(X_6),complement(X_7))),complement(join(complement(X0),meet(X_6,X_7)))) ),[0],$fot(meet(X0,complement(meet(X_6,X_7))))]]) ).
cnf(refute_0_706,plain,
( meet(X0,join(complement(X_6),complement(X_7))) != complement(join(complement(X0),meet(X_6,X_7)))
| meet(X0,complement(meet(X_6,X_7))) = complement(join(complement(X0),meet(X_6,X_7))) ),
inference(resolve,[$cnf( $equal(meet(X0,join(complement(X_6),complement(X_7))),meet(X0,complement(meet(X_6,X_7)))) )],[refute_0_704,refute_0_705]) ).
cnf(refute_0_707,plain,
meet(X0,complement(meet(X_6,X_7))) = complement(join(complement(X0),meet(X_6,X_7))),
inference(resolve,[$cnf( $equal(meet(X0,join(complement(X_6),complement(X_7))),complement(join(complement(X0),meet(X_6,X_7)))) )],[refute_0_587,refute_0_706]) ).
cnf(refute_0_708,plain,
( meet(X0,complement(meet(X_6,X_7))) != complement(join(complement(X0),meet(X_6,X_7)))
| complement(join(complement(X0),meet(X_6,X_7))) = meet(X0,complement(meet(X_6,X_7))) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(meet(X0,complement(meet(X_6,X_7))))),bind(Y,$fot(complement(join(complement(X0),meet(X_6,X_7)))))]]) ).
cnf(refute_0_709,plain,
complement(join(complement(X0),meet(X_6,X_7))) = meet(X0,complement(meet(X_6,X_7))),
inference(resolve,[$cnf( $equal(meet(X0,complement(meet(X_6,X_7))),complement(join(complement(X0),meet(X_6,X_7)))) )],[refute_0_707,refute_0_708]) ).
cnf(refute_0_710,plain,
complement(join(complement(X0),meet(top,X_10))) = meet(X0,complement(meet(top,X_10))),
inference(subst,[],[refute_0_709:[bind(X_6,$fot(top)),bind(X_7,$fot(X_10))]]) ).
cnf(refute_0_711,plain,
( complement(join(complement(X0),meet(top,X_10))) != meet(X0,complement(meet(top,X_10)))
| meet(X0,join(zero,complement(X_10))) != complement(join(complement(X0),meet(top,X_10)))
| meet(X0,join(zero,complement(X_10))) = meet(X0,complement(meet(top,X_10))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X0,join(zero,complement(X_10))),complement(join(complement(X0),meet(top,X_10)))) ),[1],$fot(meet(X0,complement(meet(top,X_10))))]]) ).
cnf(refute_0_712,plain,
( meet(X0,join(zero,complement(X_10))) != complement(join(complement(X0),meet(top,X_10)))
| meet(X0,join(zero,complement(X_10))) = meet(X0,complement(meet(top,X_10))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X0),meet(top,X_10))),meet(X0,complement(meet(top,X_10)))) )],[refute_0_710,refute_0_711]) ).
cnf(refute_0_713,plain,
meet(X0,join(zero,complement(X_10))) = meet(X0,complement(meet(top,X_10))),
inference(resolve,[$cnf( $equal(meet(X0,join(zero,complement(X_10))),complement(join(complement(X0),meet(top,X_10)))) )],[refute_0_700,refute_0_712]) ).
cnf(refute_0_714,plain,
meet(complement(meet(top,X1)),join(zero,complement(X1))) = meet(complement(meet(top,X1)),complement(meet(top,X1))),
inference(subst,[],[refute_0_713:[bind(X0,$fot(complement(meet(top,X1)))),bind(X_10,$fot(X1))]]) ).
cnf(refute_0_715,plain,
join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1)))) = join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1)))),
introduced(tautology,[refl,[$fot(join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1)))))]]) ).
cnf(refute_0_716,plain,
( join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1)))) != join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1))))
| meet(complement(meet(top,X1)),join(zero,complement(X1))) != meet(complement(meet(top,X1)),complement(meet(top,X1)))
| join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1)))) = join(zero,meet(complement(meet(top,X1)),complement(meet(top,X1)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1)))),join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1))))) ),[1,1],$fot(meet(complement(meet(top,X1)),complement(meet(top,X1))))]]) ).
cnf(refute_0_717,plain,
( meet(complement(meet(top,X1)),join(zero,complement(X1))) != meet(complement(meet(top,X1)),complement(meet(top,X1)))
| join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1)))) = join(zero,meet(complement(meet(top,X1)),complement(meet(top,X1)))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1)))),join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1))))) )],[refute_0_715,refute_0_716]) ).
cnf(refute_0_718,plain,
join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1)))) = join(zero,meet(complement(meet(top,X1)),complement(meet(top,X1)))),
inference(resolve,[$cnf( $equal(meet(complement(meet(top,X1)),join(zero,complement(X1))),meet(complement(meet(top,X1)),complement(meet(top,X1)))) )],[refute_0_714,refute_0_717]) ).
cnf(refute_0_719,plain,
( join(zero,meet(complement(meet(top,X1)),complement(meet(top,X1)))) != complement(meet(top,X1))
| join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1)))) != join(zero,meet(complement(meet(top,X1)),complement(meet(top,X1))))
| join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1)))) = complement(meet(top,X1)) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1)))))),bind(Y,$fot(join(zero,meet(complement(meet(top,X1)),complement(meet(top,X1)))))),bind(Z,$fot(complement(meet(top,X1))))]]) ).
cnf(refute_0_720,plain,
( join(zero,meet(complement(meet(top,X1)),complement(meet(top,X1)))) != complement(meet(top,X1))
| join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1)))) = complement(meet(top,X1)) ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1)))),join(zero,meet(complement(meet(top,X1)),complement(meet(top,X1))))) )],[refute_0_718,refute_0_719]) ).
cnf(refute_0_721,plain,
join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1)))) = complement(meet(top,X1)),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(meet(top,X1)),complement(meet(top,X1)))),complement(meet(top,X1))) )],[refute_0_696,refute_0_720]) ).
cnf(refute_0_722,plain,
( join(zero,complement(X1)) != join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1))))
| join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1)))) != complement(meet(top,X1))
| join(zero,complement(X1)) = complement(meet(top,X1)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(zero,complement(X1)),complement(meet(top,X1))) ),[0],$fot(join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1)))))]]) ).
cnf(refute_0_723,plain,
( join(zero,complement(X1)) != join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1))))
| join(zero,complement(X1)) = complement(meet(top,X1)) ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1)))),complement(meet(top,X1))) )],[refute_0_721,refute_0_722]) ).
cnf(refute_0_724,plain,
join(zero,complement(X1)) = complement(meet(top,X1)),
inference(resolve,[$cnf( $equal(join(zero,complement(X1)),join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1))))) )],[refute_0_678,refute_0_723]) ).
cnf(refute_0_725,plain,
join(zero,complement(X_31)) = complement(meet(top,X_31)),
inference(subst,[],[refute_0_724:[bind(X1,$fot(X_31))]]) ).
cnf(refute_0_726,plain,
join(complement(meet(X_31,top)),join(zero,complement(X_31))) = join(complement(meet(X_31,top)),join(zero,complement(X_31))),
introduced(tautology,[refl,[$fot(join(complement(meet(X_31,top)),join(zero,complement(X_31))))]]) ).
cnf(refute_0_727,plain,
( join(complement(meet(X_31,top)),join(zero,complement(X_31))) != join(complement(meet(X_31,top)),join(zero,complement(X_31)))
| join(zero,complement(X_31)) != complement(meet(top,X_31))
| join(complement(meet(X_31,top)),join(zero,complement(X_31))) = join(complement(meet(X_31,top)),complement(meet(top,X_31))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(meet(X_31,top)),join(zero,complement(X_31))),join(complement(meet(X_31,top)),join(zero,complement(X_31)))) ),[1,1],$fot(complement(meet(top,X_31)))]]) ).
cnf(refute_0_728,plain,
( join(zero,complement(X_31)) != complement(meet(top,X_31))
| join(complement(meet(X_31,top)),join(zero,complement(X_31))) = join(complement(meet(X_31,top)),complement(meet(top,X_31))) ),
inference(resolve,[$cnf( $equal(join(complement(meet(X_31,top)),join(zero,complement(X_31))),join(complement(meet(X_31,top)),join(zero,complement(X_31)))) )],[refute_0_726,refute_0_727]) ).
cnf(refute_0_729,plain,
join(complement(meet(X_31,top)),join(zero,complement(X_31))) = join(complement(meet(X_31,top)),complement(meet(top,X_31))),
inference(resolve,[$cnf( $equal(join(zero,complement(X_31)),complement(meet(top,X_31))) )],[refute_0_725,refute_0_728]) ).
cnf(refute_0_730,plain,
( join(complement(meet(X_31,top)),complement(meet(top,X_31))) != complement(meet(meet(X_31,top),meet(top,X_31)))
| join(complement(meet(X_31,top)),join(zero,complement(X_31))) != join(complement(meet(X_31,top)),complement(meet(top,X_31)))
| join(complement(meet(X_31,top)),join(zero,complement(X_31))) = complement(meet(meet(X_31,top),meet(top,X_31))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(complement(meet(X_31,top)),join(zero,complement(X_31))))),bind(Y,$fot(join(complement(meet(X_31,top)),complement(meet(top,X_31))))),bind(Z,$fot(complement(meet(meet(X_31,top),meet(top,X_31)))))]]) ).
cnf(refute_0_731,plain,
( join(complement(meet(X_31,top)),complement(meet(top,X_31))) != complement(meet(meet(X_31,top),meet(top,X_31)))
| join(complement(meet(X_31,top)),join(zero,complement(X_31))) = complement(meet(meet(X_31,top),meet(top,X_31))) ),
inference(resolve,[$cnf( $equal(join(complement(meet(X_31,top)),join(zero,complement(X_31))),join(complement(meet(X_31,top)),complement(meet(top,X_31)))) )],[refute_0_729,refute_0_730]) ).
cnf(refute_0_732,plain,
join(complement(meet(X_31,top)),join(zero,complement(X_31))) = complement(meet(meet(X_31,top),meet(top,X_31))),
inference(resolve,[$cnf( $equal(join(complement(meet(X_31,top)),complement(meet(top,X_31))),complement(meet(meet(X_31,top),meet(top,X_31)))) )],[refute_0_666,refute_0_731]) ).
cnf(refute_0_733,plain,
meet(top,join(complement(meet(X_31,top)),join(zero,complement(X_31)))) = meet(top,join(complement(meet(X_31,top)),join(zero,complement(X_31)))),
introduced(tautology,[refl,[$fot(meet(top,join(complement(meet(X_31,top)),join(zero,complement(X_31)))))]]) ).
cnf(refute_0_734,plain,
( join(complement(meet(X_31,top)),join(zero,complement(X_31))) != complement(meet(meet(X_31,top),meet(top,X_31)))
| meet(top,join(complement(meet(X_31,top)),join(zero,complement(X_31)))) != meet(top,join(complement(meet(X_31,top)),join(zero,complement(X_31))))
| meet(top,join(complement(meet(X_31,top)),join(zero,complement(X_31)))) = meet(top,complement(meet(meet(X_31,top),meet(top,X_31)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,join(complement(meet(X_31,top)),join(zero,complement(X_31)))),meet(top,join(complement(meet(X_31,top)),join(zero,complement(X_31))))) ),[1,1],$fot(complement(meet(meet(X_31,top),meet(top,X_31))))]]) ).
cnf(refute_0_735,plain,
( join(complement(meet(X_31,top)),join(zero,complement(X_31))) != complement(meet(meet(X_31,top),meet(top,X_31)))
| meet(top,join(complement(meet(X_31,top)),join(zero,complement(X_31)))) = meet(top,complement(meet(meet(X_31,top),meet(top,X_31)))) ),
inference(resolve,[$cnf( $equal(meet(top,join(complement(meet(X_31,top)),join(zero,complement(X_31)))),meet(top,join(complement(meet(X_31,top)),join(zero,complement(X_31))))) )],[refute_0_733,refute_0_734]) ).
cnf(refute_0_736,plain,
meet(top,join(complement(meet(X_31,top)),join(zero,complement(X_31)))) = meet(top,complement(meet(meet(X_31,top),meet(top,X_31)))),
inference(resolve,[$cnf( $equal(join(complement(meet(X_31,top)),join(zero,complement(X_31))),complement(meet(meet(X_31,top),meet(top,X_31)))) )],[refute_0_732,refute_0_735]) ).
cnf(refute_0_737,plain,
complement(meet(top,join(complement(meet(X_31,top)),join(zero,complement(X_31))))) = complement(meet(top,join(complement(meet(X_31,top)),join(zero,complement(X_31))))),
introduced(tautology,[refl,[$fot(complement(meet(top,join(complement(meet(X_31,top)),join(zero,complement(X_31))))))]]) ).
cnf(refute_0_738,plain,
( complement(meet(top,join(complement(meet(X_31,top)),join(zero,complement(X_31))))) != complement(meet(top,join(complement(meet(X_31,top)),join(zero,complement(X_31)))))
| meet(top,join(complement(meet(X_31,top)),join(zero,complement(X_31)))) != meet(top,complement(meet(meet(X_31,top),meet(top,X_31))))
| complement(meet(top,join(complement(meet(X_31,top)),join(zero,complement(X_31))))) = complement(meet(top,complement(meet(meet(X_31,top),meet(top,X_31))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(top,join(complement(meet(X_31,top)),join(zero,complement(X_31))))),complement(meet(top,join(complement(meet(X_31,top)),join(zero,complement(X_31)))))) ),[1,0],$fot(meet(top,complement(meet(meet(X_31,top),meet(top,X_31)))))]]) ).
cnf(refute_0_739,plain,
( meet(top,join(complement(meet(X_31,top)),join(zero,complement(X_31)))) != meet(top,complement(meet(meet(X_31,top),meet(top,X_31))))
| complement(meet(top,join(complement(meet(X_31,top)),join(zero,complement(X_31))))) = complement(meet(top,complement(meet(meet(X_31,top),meet(top,X_31))))) ),
inference(resolve,[$cnf( $equal(complement(meet(top,join(complement(meet(X_31,top)),join(zero,complement(X_31))))),complement(meet(top,join(complement(meet(X_31,top)),join(zero,complement(X_31)))))) )],[refute_0_737,refute_0_738]) ).
cnf(refute_0_740,plain,
complement(meet(top,join(complement(meet(X_31,top)),join(zero,complement(X_31))))) = complement(meet(top,complement(meet(meet(X_31,top),meet(top,X_31))))),
inference(resolve,[$cnf( $equal(meet(top,join(complement(meet(X_31,top)),join(zero,complement(X_31)))),meet(top,complement(meet(meet(X_31,top),meet(top,X_31))))) )],[refute_0_736,refute_0_739]) ).
cnf(refute_0_741,plain,
join(zero,complement(join(complement(meet(X_31,top)),join(zero,complement(X_31))))) = complement(meet(top,join(complement(meet(X_31,top)),join(zero,complement(X_31))))),
inference(subst,[],[refute_0_724:[bind(X1,$fot(join(complement(meet(X_31,top)),join(zero,complement(X_31)))))]]) ).
cnf(refute_0_742,plain,
( complement(meet(top,join(complement(meet(X_31,top)),join(zero,complement(X_31))))) != complement(meet(top,complement(meet(meet(X_31,top),meet(top,X_31)))))
| join(zero,complement(join(complement(meet(X_31,top)),join(zero,complement(X_31))))) != complement(meet(top,join(complement(meet(X_31,top)),join(zero,complement(X_31)))))
| join(zero,complement(join(complement(meet(X_31,top)),join(zero,complement(X_31))))) = complement(meet(top,complement(meet(meet(X_31,top),meet(top,X_31))))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(zero,complement(join(complement(meet(X_31,top)),join(zero,complement(X_31))))))),bind(Y,$fot(complement(meet(top,join(complement(meet(X_31,top)),join(zero,complement(X_31))))))),bind(Z,$fot(complement(meet(top,complement(meet(meet(X_31,top),meet(top,X_31)))))))]]) ).
cnf(refute_0_743,plain,
( complement(meet(top,join(complement(meet(X_31,top)),join(zero,complement(X_31))))) != complement(meet(top,complement(meet(meet(X_31,top),meet(top,X_31)))))
| join(zero,complement(join(complement(meet(X_31,top)),join(zero,complement(X_31))))) = complement(meet(top,complement(meet(meet(X_31,top),meet(top,X_31))))) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(complement(meet(X_31,top)),join(zero,complement(X_31))))),complement(meet(top,join(complement(meet(X_31,top)),join(zero,complement(X_31)))))) )],[refute_0_741,refute_0_742]) ).
cnf(refute_0_744,plain,
join(zero,complement(join(complement(meet(X_31,top)),join(zero,complement(X_31))))) = complement(meet(top,complement(meet(meet(X_31,top),meet(top,X_31))))),
inference(resolve,[$cnf( $equal(complement(meet(top,join(complement(meet(X_31,top)),join(zero,complement(X_31))))),complement(meet(top,complement(meet(meet(X_31,top),meet(top,X_31)))))) )],[refute_0_740,refute_0_743]) ).
cnf(refute_0_745,plain,
( join(zero,complement(join(complement(meet(X_31,top)),join(zero,complement(X_31))))) != complement(meet(top,complement(meet(meet(X_31,top),meet(top,X_31)))))
| meet(X_31,top) != join(zero,complement(join(complement(meet(X_31,top)),join(zero,complement(X_31)))))
| meet(X_31,top) = complement(meet(top,complement(meet(meet(X_31,top),meet(top,X_31))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_31,top),join(zero,complement(join(complement(meet(X_31,top)),join(zero,complement(X_31)))))) ),[1],$fot(complement(meet(top,complement(meet(meet(X_31,top),meet(top,X_31))))))]]) ).
cnf(refute_0_746,plain,
( meet(X_31,top) != join(zero,complement(join(complement(meet(X_31,top)),join(zero,complement(X_31)))))
| meet(X_31,top) = complement(meet(top,complement(meet(meet(X_31,top),meet(top,X_31))))) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(complement(meet(X_31,top)),join(zero,complement(X_31))))),complement(meet(top,complement(meet(meet(X_31,top),meet(top,X_31)))))) )],[refute_0_744,refute_0_745]) ).
cnf(refute_0_747,plain,
meet(X_31,top) = complement(meet(top,complement(meet(meet(X_31,top),meet(top,X_31))))),
inference(resolve,[$cnf( $equal(meet(X_31,top),join(zero,complement(join(complement(meet(X_31,top)),join(zero,complement(X_31)))))) )],[refute_0_665,refute_0_746]) ).
cnf(refute_0_748,plain,
meet(X_90,top) = complement(meet(top,complement(meet(meet(X_90,top),meet(top,X_90))))),
inference(subst,[],[refute_0_747:[bind(X_31,$fot(X_90))]]) ).
cnf(refute_0_749,plain,
( meet(X_90,top) != complement(meet(top,complement(meet(meet(X_90,top),meet(top,X_90)))))
| complement(meet(top,complement(meet(meet(X_90,top),meet(top,X_90))))) = meet(X_90,top) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(meet(X_90,top))),bind(Y,$fot(complement(meet(top,complement(meet(meet(X_90,top),meet(top,X_90)))))))]]) ).
cnf(refute_0_750,plain,
complement(meet(top,complement(meet(meet(X_90,top),meet(top,X_90))))) = meet(X_90,top),
inference(resolve,[$cnf( $equal(meet(X_90,top),complement(meet(top,complement(meet(meet(X_90,top),meet(top,X_90)))))) )],[refute_0_748,refute_0_749]) ).
cnf(refute_0_751,plain,
( complement(complement(meet(top,complement(meet(meet(X_90,top),meet(top,X_90)))))) != meet(top,complement(meet(meet(X_90,top),meet(top,X_90))))
| complement(meet(top,complement(meet(meet(X_90,top),meet(top,X_90))))) != meet(X_90,top)
| complement(meet(X_90,top)) = meet(top,complement(meet(meet(X_90,top),meet(top,X_90)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(meet(top,complement(meet(meet(X_90,top),meet(top,X_90)))))),meet(top,complement(meet(meet(X_90,top),meet(top,X_90))))) ),[0,0],$fot(meet(X_90,top))]]) ).
cnf(refute_0_752,plain,
( complement(complement(meet(top,complement(meet(meet(X_90,top),meet(top,X_90)))))) != meet(top,complement(meet(meet(X_90,top),meet(top,X_90))))
| complement(meet(X_90,top)) = meet(top,complement(meet(meet(X_90,top),meet(top,X_90)))) ),
inference(resolve,[$cnf( $equal(complement(meet(top,complement(meet(meet(X_90,top),meet(top,X_90))))),meet(X_90,top)) )],[refute_0_750,refute_0_751]) ).
cnf(refute_0_753,plain,
complement(meet(X_90,top)) = meet(top,complement(meet(meet(X_90,top),meet(top,X_90)))),
inference(resolve,[$cnf( $equal(complement(complement(meet(top,complement(meet(meet(X_90,top),meet(top,X_90)))))),meet(top,complement(meet(meet(X_90,top),meet(top,X_90))))) )],[refute_0_641,refute_0_752]) ).
cnf(refute_0_754,plain,
complement(meet(complement(meet(meet(X_93,top),meet(top,X_93))),top)) = meet(top,complement(meet(meet(complement(meet(meet(X_93,top),meet(top,X_93))),top),meet(top,complement(meet(meet(X_93,top),meet(top,X_93))))))),
inference(subst,[],[refute_0_753:[bind(X_90,$fot(complement(meet(meet(X_93,top),meet(top,X_93)))))]]) ).
cnf(refute_0_755,plain,
complement(meet(X_93,top)) = meet(top,complement(meet(meet(X_93,top),meet(top,X_93)))),
inference(subst,[],[refute_0_753:[bind(X_90,$fot(X_93))]]) ).
cnf(refute_0_756,plain,
( complement(meet(X_93,top)) != meet(top,complement(meet(meet(X_93,top),meet(top,X_93))))
| meet(top,complement(meet(meet(X_93,top),meet(top,X_93)))) = complement(meet(X_93,top)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(complement(meet(X_93,top)))),bind(Y,$fot(meet(top,complement(meet(meet(X_93,top),meet(top,X_93))))))]]) ).
cnf(refute_0_757,plain,
meet(top,complement(meet(meet(X_93,top),meet(top,X_93)))) = complement(meet(X_93,top)),
inference(resolve,[$cnf( $equal(complement(meet(X_93,top)),meet(top,complement(meet(meet(X_93,top),meet(top,X_93))))) )],[refute_0_755,refute_0_756]) ).
cnf(refute_0_758,plain,
( complement(meet(complement(meet(meet(X_93,top),meet(top,X_93))),top)) != meet(top,complement(meet(meet(complement(meet(meet(X_93,top),meet(top,X_93))),top),meet(top,complement(meet(meet(X_93,top),meet(top,X_93)))))))
| meet(top,complement(meet(meet(X_93,top),meet(top,X_93)))) != complement(meet(X_93,top))
| complement(meet(complement(meet(meet(X_93,top),meet(top,X_93))),top)) = meet(top,complement(meet(meet(complement(meet(meet(X_93,top),meet(top,X_93))),top),complement(meet(X_93,top))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(complement(meet(meet(X_93,top),meet(top,X_93))),top)),meet(top,complement(meet(meet(complement(meet(meet(X_93,top),meet(top,X_93))),top),meet(top,complement(meet(meet(X_93,top),meet(top,X_93)))))))) ),[1,1,0,1],$fot(complement(meet(X_93,top)))]]) ).
cnf(refute_0_759,plain,
( complement(meet(complement(meet(meet(X_93,top),meet(top,X_93))),top)) != meet(top,complement(meet(meet(complement(meet(meet(X_93,top),meet(top,X_93))),top),meet(top,complement(meet(meet(X_93,top),meet(top,X_93)))))))
| complement(meet(complement(meet(meet(X_93,top),meet(top,X_93))),top)) = meet(top,complement(meet(meet(complement(meet(meet(X_93,top),meet(top,X_93))),top),complement(meet(X_93,top))))) ),
inference(resolve,[$cnf( $equal(meet(top,complement(meet(meet(X_93,top),meet(top,X_93)))),complement(meet(X_93,top))) )],[refute_0_757,refute_0_758]) ).
cnf(refute_0_760,plain,
complement(meet(complement(meet(meet(X_93,top),meet(top,X_93))),top)) = meet(top,complement(meet(meet(complement(meet(meet(X_93,top),meet(top,X_93))),top),complement(meet(X_93,top))))),
inference(resolve,[$cnf( $equal(complement(meet(complement(meet(meet(X_93,top),meet(top,X_93))),top)),meet(top,complement(meet(meet(complement(meet(meet(X_93,top),meet(top,X_93))),top),meet(top,complement(meet(meet(X_93,top),meet(top,X_93)))))))) )],[refute_0_754,refute_0_759]) ).
cnf(refute_0_761,plain,
complement(complement(meet(X_93,top))) = meet(X_93,top),
inference(subst,[],[refute_0_144:[bind(X_70,$fot(meet(X_93,top)))]]) ).
cnf(refute_0_762,plain,
complement(meet(top,complement(meet(meet(X_93,top),meet(top,X_93))))) = complement(meet(top,complement(meet(meet(X_93,top),meet(top,X_93))))),
introduced(tautology,[refl,[$fot(complement(meet(top,complement(meet(meet(X_93,top),meet(top,X_93))))))]]) ).
cnf(refute_0_763,plain,
( complement(meet(top,complement(meet(meet(X_93,top),meet(top,X_93))))) != complement(meet(top,complement(meet(meet(X_93,top),meet(top,X_93)))))
| meet(top,complement(meet(meet(X_93,top),meet(top,X_93)))) != complement(meet(X_93,top))
| complement(meet(top,complement(meet(meet(X_93,top),meet(top,X_93))))) = complement(complement(meet(X_93,top))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(top,complement(meet(meet(X_93,top),meet(top,X_93))))),complement(meet(top,complement(meet(meet(X_93,top),meet(top,X_93)))))) ),[1,0],$fot(complement(meet(X_93,top)))]]) ).
cnf(refute_0_764,plain,
( meet(top,complement(meet(meet(X_93,top),meet(top,X_93)))) != complement(meet(X_93,top))
| complement(meet(top,complement(meet(meet(X_93,top),meet(top,X_93))))) = complement(complement(meet(X_93,top))) ),
inference(resolve,[$cnf( $equal(complement(meet(top,complement(meet(meet(X_93,top),meet(top,X_93))))),complement(meet(top,complement(meet(meet(X_93,top),meet(top,X_93)))))) )],[refute_0_762,refute_0_763]) ).
cnf(refute_0_765,plain,
complement(meet(top,complement(meet(meet(X_93,top),meet(top,X_93))))) = complement(complement(meet(X_93,top))),
inference(resolve,[$cnf( $equal(meet(top,complement(meet(meet(X_93,top),meet(top,X_93)))),complement(meet(X_93,top))) )],[refute_0_757,refute_0_764]) ).
cnf(refute_0_766,plain,
( complement(complement(meet(X_93,top))) != meet(X_93,top)
| complement(meet(top,complement(meet(meet(X_93,top),meet(top,X_93))))) != complement(complement(meet(X_93,top)))
| complement(meet(top,complement(meet(meet(X_93,top),meet(top,X_93))))) = meet(X_93,top) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(complement(meet(top,complement(meet(meet(X_93,top),meet(top,X_93))))))),bind(Y,$fot(complement(complement(meet(X_93,top))))),bind(Z,$fot(meet(X_93,top)))]]) ).
cnf(refute_0_767,plain,
( complement(complement(meet(X_93,top))) != meet(X_93,top)
| complement(meet(top,complement(meet(meet(X_93,top),meet(top,X_93))))) = meet(X_93,top) ),
inference(resolve,[$cnf( $equal(complement(meet(top,complement(meet(meet(X_93,top),meet(top,X_93))))),complement(complement(meet(X_93,top)))) )],[refute_0_765,refute_0_766]) ).
cnf(refute_0_768,plain,
complement(meet(top,complement(meet(meet(X_93,top),meet(top,X_93))))) = meet(X_93,top),
inference(resolve,[$cnf( $equal(complement(complement(meet(X_93,top))),meet(X_93,top)) )],[refute_0_761,refute_0_767]) ).
cnf(refute_0_769,plain,
complement(complement(meet(top,complement(meet(X_91,top))))) = meet(top,complement(meet(X_91,top))),
inference(subst,[],[refute_0_144:[bind(X_70,$fot(meet(top,complement(meet(X_91,top)))))]]) ).
cnf(refute_0_770,plain,
meet(X_90,top) = meet(top,X_90),
inference(subst,[],[refute_0_65:[bind(X_6,$fot(X_90)),bind(X_7,$fot(top))]]) ).
cnf(refute_0_771,plain,
( meet(X_90,top) != meet(top,X_90)
| meet(top,X_90) = meet(X_90,top) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(meet(X_90,top))),bind(Y,$fot(meet(top,X_90)))]]) ).
cnf(refute_0_772,plain,
meet(top,X_90) = meet(X_90,top),
inference(resolve,[$cnf( $equal(meet(X_90,top),meet(top,X_90)) )],[refute_0_770,refute_0_771]) ).
cnf(refute_0_773,plain,
( meet(X_90,top) != complement(meet(top,complement(meet(meet(X_90,top),meet(top,X_90)))))
| meet(top,X_90) != meet(X_90,top)
| meet(X_90,top) = complement(meet(top,complement(meet(meet(X_90,top),meet(X_90,top))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_90,top),complement(meet(top,complement(meet(meet(X_90,top),meet(top,X_90)))))) ),[1,0,1,0,1],$fot(meet(X_90,top))]]) ).
cnf(refute_0_774,plain,
( meet(X_90,top) != complement(meet(top,complement(meet(meet(X_90,top),meet(top,X_90)))))
| meet(X_90,top) = complement(meet(top,complement(meet(meet(X_90,top),meet(X_90,top))))) ),
inference(resolve,[$cnf( $equal(meet(top,X_90),meet(X_90,top)) )],[refute_0_772,refute_0_773]) ).
cnf(refute_0_775,plain,
meet(X_90,top) = complement(meet(top,complement(meet(meet(X_90,top),meet(X_90,top))))),
inference(resolve,[$cnf( $equal(meet(X_90,top),complement(meet(top,complement(meet(meet(X_90,top),meet(top,X_90)))))) )],[refute_0_748,refute_0_774]) ).
cnf(refute_0_776,plain,
join(complement(X1),composition(converse(converse(one)),complement(composition(converse(one),X1)))) = complement(X1),
inference(subst,[],[refute_0_196:[bind(X0,$fot(converse(one)))]]) ).
cnf(refute_0_777,plain,
X1 = composition(converse(one),X1),
inference(subst,[],[refute_0_228:[bind(X_25,$fot(X1))]]) ).
cnf(refute_0_778,plain,
( X1 != composition(converse(one),X1)
| composition(converse(one),X1) = X1 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(X1)),bind(Y,$fot(composition(converse(one),X1)))]]) ).
cnf(refute_0_779,plain,
composition(converse(one),X1) = X1,
inference(resolve,[$cnf( $equal(X1,composition(converse(one),X1)) )],[refute_0_777,refute_0_778]) ).
cnf(refute_0_780,plain,
( composition(converse(one),X1) != X1
| join(complement(X1),composition(converse(converse(one)),complement(composition(converse(one),X1)))) != complement(X1)
| join(complement(X1),composition(converse(converse(one)),complement(X1))) = complement(X1) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X1),composition(converse(converse(one)),complement(composition(converse(one),X1)))),complement(X1)) ),[0,1,1,0],$fot(X1)]]) ).
cnf(refute_0_781,plain,
( join(complement(X1),composition(converse(converse(one)),complement(composition(converse(one),X1)))) != complement(X1)
| join(complement(X1),composition(converse(converse(one)),complement(X1))) = complement(X1) ),
inference(resolve,[$cnf( $equal(composition(converse(one),X1),X1) )],[refute_0_779,refute_0_780]) ).
cnf(refute_0_782,plain,
join(complement(X1),composition(converse(converse(one)),complement(X1))) = complement(X1),
inference(resolve,[$cnf( $equal(join(complement(X1),composition(converse(converse(one)),complement(composition(converse(one),X1)))),complement(X1)) )],[refute_0_776,refute_0_781]) ).
cnf(refute_0_783,plain,
converse(converse(one)) = one,
inference(subst,[],[refute_0_215:[bind(X0,$fot(one))]]) ).
cnf(refute_0_784,plain,
composition(converse(converse(one)),complement(X1)) = composition(converse(converse(one)),complement(X1)),
introduced(tautology,[refl,[$fot(composition(converse(converse(one)),complement(X1)))]]) ).
cnf(refute_0_785,plain,
( composition(converse(converse(one)),complement(X1)) != composition(converse(converse(one)),complement(X1))
| converse(converse(one)) != one
| composition(converse(converse(one)),complement(X1)) = composition(one,complement(X1)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(converse(one)),complement(X1)),composition(converse(converse(one)),complement(X1))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_786,plain,
( converse(converse(one)) != one
| composition(converse(converse(one)),complement(X1)) = composition(one,complement(X1)) ),
inference(resolve,[$cnf( $equal(composition(converse(converse(one)),complement(X1)),composition(converse(converse(one)),complement(X1))) )],[refute_0_784,refute_0_785]) ).
cnf(refute_0_787,plain,
composition(converse(converse(one)),complement(X1)) = composition(one,complement(X1)),
inference(resolve,[$cnf( $equal(converse(converse(one)),one) )],[refute_0_783,refute_0_786]) ).
cnf(refute_0_788,plain,
join(complement(X1),composition(converse(converse(one)),complement(X1))) = join(complement(X1),composition(converse(converse(one)),complement(X1))),
introduced(tautology,[refl,[$fot(join(complement(X1),composition(converse(converse(one)),complement(X1))))]]) ).
cnf(refute_0_789,plain,
( composition(converse(converse(one)),complement(X1)) != composition(one,complement(X1))
| join(complement(X1),composition(converse(converse(one)),complement(X1))) != join(complement(X1),composition(converse(converse(one)),complement(X1)))
| join(complement(X1),composition(converse(converse(one)),complement(X1))) = join(complement(X1),composition(one,complement(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X1),composition(converse(converse(one)),complement(X1))),join(complement(X1),composition(converse(converse(one)),complement(X1)))) ),[1,1],$fot(composition(one,complement(X1)))]]) ).
cnf(refute_0_790,plain,
( composition(converse(converse(one)),complement(X1)) != composition(one,complement(X1))
| join(complement(X1),composition(converse(converse(one)),complement(X1))) = join(complement(X1),composition(one,complement(X1))) ),
inference(resolve,[$cnf( $equal(join(complement(X1),composition(converse(converse(one)),complement(X1))),join(complement(X1),composition(converse(converse(one)),complement(X1)))) )],[refute_0_788,refute_0_789]) ).
cnf(refute_0_791,plain,
join(complement(X1),composition(converse(converse(one)),complement(X1))) = join(complement(X1),composition(one,complement(X1))),
inference(resolve,[$cnf( $equal(composition(converse(converse(one)),complement(X1)),composition(one,complement(X1))) )],[refute_0_787,refute_0_790]) ).
cnf(refute_0_792,plain,
( join(complement(X1),composition(converse(converse(one)),complement(X1))) != complement(X1)
| join(complement(X1),composition(converse(converse(one)),complement(X1))) != join(complement(X1),composition(one,complement(X1)))
| join(complement(X1),composition(one,complement(X1))) = complement(X1) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X1),composition(converse(converse(one)),complement(X1))),complement(X1)) ),[0],$fot(join(complement(X1),composition(one,complement(X1))))]]) ).
cnf(refute_0_793,plain,
( join(complement(X1),composition(converse(converse(one)),complement(X1))) != complement(X1)
| join(complement(X1),composition(one,complement(X1))) = complement(X1) ),
inference(resolve,[$cnf( $equal(join(complement(X1),composition(converse(converse(one)),complement(X1))),join(complement(X1),composition(one,complement(X1)))) )],[refute_0_791,refute_0_792]) ).
cnf(refute_0_794,plain,
join(complement(X1),composition(one,complement(X1))) = complement(X1),
inference(resolve,[$cnf( $equal(join(complement(X1),composition(converse(converse(one)),complement(X1))),complement(X1)) )],[refute_0_782,refute_0_793]) ).
cnf(refute_0_795,plain,
composition(one,complement(X1)) = complement(X1),
inference(subst,[],[refute_0_255:[bind(X_25,$fot(complement(X1)))]]) ).
cnf(refute_0_796,plain,
join(complement(X1),composition(one,complement(X1))) = join(complement(X1),composition(one,complement(X1))),
introduced(tautology,[refl,[$fot(join(complement(X1),composition(one,complement(X1))))]]) ).
cnf(refute_0_797,plain,
( composition(one,complement(X1)) != complement(X1)
| join(complement(X1),composition(one,complement(X1))) != join(complement(X1),composition(one,complement(X1)))
| join(complement(X1),composition(one,complement(X1))) = join(complement(X1),complement(X1)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X1),composition(one,complement(X1))),join(complement(X1),composition(one,complement(X1)))) ),[1,1],$fot(complement(X1))]]) ).
cnf(refute_0_798,plain,
( composition(one,complement(X1)) != complement(X1)
| join(complement(X1),composition(one,complement(X1))) = join(complement(X1),complement(X1)) ),
inference(resolve,[$cnf( $equal(join(complement(X1),composition(one,complement(X1))),join(complement(X1),composition(one,complement(X1)))) )],[refute_0_796,refute_0_797]) ).
cnf(refute_0_799,plain,
join(complement(X1),composition(one,complement(X1))) = join(complement(X1),complement(X1)),
inference(resolve,[$cnf( $equal(composition(one,complement(X1)),complement(X1)) )],[refute_0_795,refute_0_798]) ).
cnf(refute_0_800,plain,
( join(complement(X1),composition(one,complement(X1))) != complement(X1)
| join(complement(X1),composition(one,complement(X1))) != join(complement(X1),complement(X1))
| join(complement(X1),complement(X1)) = complement(X1) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X1),composition(one,complement(X1))),complement(X1)) ),[0],$fot(join(complement(X1),complement(X1)))]]) ).
cnf(refute_0_801,plain,
( join(complement(X1),composition(one,complement(X1))) != complement(X1)
| join(complement(X1),complement(X1)) = complement(X1) ),
inference(resolve,[$cnf( $equal(join(complement(X1),composition(one,complement(X1))),join(complement(X1),complement(X1))) )],[refute_0_799,refute_0_800]) ).
cnf(refute_0_802,plain,
join(complement(X1),complement(X1)) = complement(X1),
inference(resolve,[$cnf( $equal(join(complement(X1),composition(one,complement(X1))),complement(X1)) )],[refute_0_794,refute_0_801]) ).
cnf(refute_0_803,plain,
join(complement(X1),complement(X1)) = complement(meet(X1,X1)),
inference(subst,[],[refute_0_627:[bind(X0,$fot(X1))]]) ).
cnf(refute_0_804,plain,
( join(complement(X1),complement(X1)) != complement(X1)
| join(complement(X1),complement(X1)) != complement(meet(X1,X1))
| complement(meet(X1,X1)) = complement(X1) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X1),complement(X1)),complement(X1)) ),[0],$fot(complement(meet(X1,X1)))]]) ).
cnf(refute_0_805,plain,
( join(complement(X1),complement(X1)) != complement(X1)
| complement(meet(X1,X1)) = complement(X1) ),
inference(resolve,[$cnf( $equal(join(complement(X1),complement(X1)),complement(meet(X1,X1))) )],[refute_0_803,refute_0_804]) ).
cnf(refute_0_806,plain,
complement(meet(X1,X1)) = complement(X1),
inference(resolve,[$cnf( $equal(join(complement(X1),complement(X1)),complement(X1)) )],[refute_0_802,refute_0_805]) ).
cnf(refute_0_807,plain,
complement(meet(meet(X_90,top),meet(X_90,top))) = complement(meet(X_90,top)),
inference(subst,[],[refute_0_806:[bind(X1,$fot(meet(X_90,top)))]]) ).
cnf(refute_0_808,plain,
meet(top,complement(meet(meet(X_90,top),meet(X_90,top)))) = meet(top,complement(meet(meet(X_90,top),meet(X_90,top)))),
introduced(tautology,[refl,[$fot(meet(top,complement(meet(meet(X_90,top),meet(X_90,top)))))]]) ).
cnf(refute_0_809,plain,
( complement(meet(meet(X_90,top),meet(X_90,top))) != complement(meet(X_90,top))
| meet(top,complement(meet(meet(X_90,top),meet(X_90,top)))) != meet(top,complement(meet(meet(X_90,top),meet(X_90,top))))
| meet(top,complement(meet(meet(X_90,top),meet(X_90,top)))) = meet(top,complement(meet(X_90,top))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,complement(meet(meet(X_90,top),meet(X_90,top)))),meet(top,complement(meet(meet(X_90,top),meet(X_90,top))))) ),[1,1],$fot(complement(meet(X_90,top)))]]) ).
cnf(refute_0_810,plain,
( complement(meet(meet(X_90,top),meet(X_90,top))) != complement(meet(X_90,top))
| meet(top,complement(meet(meet(X_90,top),meet(X_90,top)))) = meet(top,complement(meet(X_90,top))) ),
inference(resolve,[$cnf( $equal(meet(top,complement(meet(meet(X_90,top),meet(X_90,top)))),meet(top,complement(meet(meet(X_90,top),meet(X_90,top))))) )],[refute_0_808,refute_0_809]) ).
cnf(refute_0_811,plain,
meet(top,complement(meet(meet(X_90,top),meet(X_90,top)))) = meet(top,complement(meet(X_90,top))),
inference(resolve,[$cnf( $equal(complement(meet(meet(X_90,top),meet(X_90,top))),complement(meet(X_90,top))) )],[refute_0_807,refute_0_810]) ).
cnf(refute_0_812,plain,
complement(meet(top,complement(meet(meet(X_90,top),meet(X_90,top))))) = complement(meet(top,complement(meet(meet(X_90,top),meet(X_90,top))))),
introduced(tautology,[refl,[$fot(complement(meet(top,complement(meet(meet(X_90,top),meet(X_90,top))))))]]) ).
cnf(refute_0_813,plain,
( complement(meet(top,complement(meet(meet(X_90,top),meet(X_90,top))))) != complement(meet(top,complement(meet(meet(X_90,top),meet(X_90,top)))))
| meet(top,complement(meet(meet(X_90,top),meet(X_90,top)))) != meet(top,complement(meet(X_90,top)))
| complement(meet(top,complement(meet(meet(X_90,top),meet(X_90,top))))) = complement(meet(top,complement(meet(X_90,top)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(top,complement(meet(meet(X_90,top),meet(X_90,top))))),complement(meet(top,complement(meet(meet(X_90,top),meet(X_90,top)))))) ),[1,0],$fot(meet(top,complement(meet(X_90,top))))]]) ).
cnf(refute_0_814,plain,
( meet(top,complement(meet(meet(X_90,top),meet(X_90,top)))) != meet(top,complement(meet(X_90,top)))
| complement(meet(top,complement(meet(meet(X_90,top),meet(X_90,top))))) = complement(meet(top,complement(meet(X_90,top)))) ),
inference(resolve,[$cnf( $equal(complement(meet(top,complement(meet(meet(X_90,top),meet(X_90,top))))),complement(meet(top,complement(meet(meet(X_90,top),meet(X_90,top)))))) )],[refute_0_812,refute_0_813]) ).
cnf(refute_0_815,plain,
complement(meet(top,complement(meet(meet(X_90,top),meet(X_90,top))))) = complement(meet(top,complement(meet(X_90,top)))),
inference(resolve,[$cnf( $equal(meet(top,complement(meet(meet(X_90,top),meet(X_90,top)))),meet(top,complement(meet(X_90,top)))) )],[refute_0_811,refute_0_814]) ).
cnf(refute_0_816,plain,
( complement(meet(top,complement(meet(meet(X_90,top),meet(X_90,top))))) != complement(meet(top,complement(meet(X_90,top))))
| meet(X_90,top) != complement(meet(top,complement(meet(meet(X_90,top),meet(X_90,top)))))
| meet(X_90,top) = complement(meet(top,complement(meet(X_90,top)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_90,top),complement(meet(top,complement(meet(meet(X_90,top),meet(X_90,top)))))) ),[1],$fot(complement(meet(top,complement(meet(X_90,top)))))]]) ).
cnf(refute_0_817,plain,
( meet(X_90,top) != complement(meet(top,complement(meet(meet(X_90,top),meet(X_90,top)))))
| meet(X_90,top) = complement(meet(top,complement(meet(X_90,top)))) ),
inference(resolve,[$cnf( $equal(complement(meet(top,complement(meet(meet(X_90,top),meet(X_90,top))))),complement(meet(top,complement(meet(X_90,top))))) )],[refute_0_815,refute_0_816]) ).
cnf(refute_0_818,plain,
meet(X_90,top) = complement(meet(top,complement(meet(X_90,top)))),
inference(resolve,[$cnf( $equal(meet(X_90,top),complement(meet(top,complement(meet(meet(X_90,top),meet(X_90,top)))))) )],[refute_0_775,refute_0_817]) ).
cnf(refute_0_819,plain,
meet(X_91,top) = complement(meet(top,complement(meet(X_91,top)))),
inference(subst,[],[refute_0_818:[bind(X_90,$fot(X_91))]]) ).
cnf(refute_0_820,plain,
( meet(X_91,top) != complement(meet(top,complement(meet(X_91,top))))
| complement(meet(top,complement(meet(X_91,top)))) = meet(X_91,top) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(meet(X_91,top))),bind(Y,$fot(complement(meet(top,complement(meet(X_91,top))))))]]) ).
cnf(refute_0_821,plain,
complement(meet(top,complement(meet(X_91,top)))) = meet(X_91,top),
inference(resolve,[$cnf( $equal(meet(X_91,top),complement(meet(top,complement(meet(X_91,top))))) )],[refute_0_819,refute_0_820]) ).
cnf(refute_0_822,plain,
( complement(complement(meet(top,complement(meet(X_91,top))))) != meet(top,complement(meet(X_91,top)))
| complement(meet(top,complement(meet(X_91,top)))) != meet(X_91,top)
| complement(meet(X_91,top)) = meet(top,complement(meet(X_91,top))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(meet(top,complement(meet(X_91,top))))),meet(top,complement(meet(X_91,top)))) ),[0,0],$fot(meet(X_91,top))]]) ).
cnf(refute_0_823,plain,
( complement(complement(meet(top,complement(meet(X_91,top))))) != meet(top,complement(meet(X_91,top)))
| complement(meet(X_91,top)) = meet(top,complement(meet(X_91,top))) ),
inference(resolve,[$cnf( $equal(complement(meet(top,complement(meet(X_91,top)))),meet(X_91,top)) )],[refute_0_821,refute_0_822]) ).
cnf(refute_0_824,plain,
complement(meet(X_91,top)) = meet(top,complement(meet(X_91,top))),
inference(resolve,[$cnf( $equal(complement(complement(meet(top,complement(meet(X_91,top))))),meet(top,complement(meet(X_91,top)))) )],[refute_0_769,refute_0_823]) ).
cnf(refute_0_825,plain,
complement(meet(X_92,top)) = meet(top,complement(meet(X_92,top))),
inference(subst,[],[refute_0_824:[bind(X_91,$fot(X_92))]]) ).
cnf(refute_0_826,plain,
meet(top,X_92) = meet(X_92,top),
inference(subst,[],[refute_0_65:[bind(X_6,$fot(top)),bind(X_7,$fot(X_92))]]) ).
cnf(refute_0_827,plain,
( meet(top,X_92) != meet(X_92,top)
| meet(X_92,top) = meet(top,X_92) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(meet(top,X_92))),bind(Y,$fot(meet(X_92,top)))]]) ).
cnf(refute_0_828,plain,
meet(X_92,top) = meet(top,X_92),
inference(resolve,[$cnf( $equal(meet(top,X_92),meet(X_92,top)) )],[refute_0_826,refute_0_827]) ).
cnf(refute_0_829,plain,
( complement(meet(X_92,top)) != meet(top,complement(meet(X_92,top)))
| meet(X_92,top) != meet(top,X_92)
| complement(meet(top,X_92)) = meet(top,complement(meet(X_92,top))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(X_92,top)),meet(top,complement(meet(X_92,top)))) ),[0,0],$fot(meet(top,X_92))]]) ).
cnf(refute_0_830,plain,
( complement(meet(X_92,top)) != meet(top,complement(meet(X_92,top)))
| complement(meet(top,X_92)) = meet(top,complement(meet(X_92,top))) ),
inference(resolve,[$cnf( $equal(meet(X_92,top),meet(top,X_92)) )],[refute_0_828,refute_0_829]) ).
cnf(refute_0_831,plain,
complement(meet(top,X_92)) = meet(top,complement(meet(X_92,top))),
inference(resolve,[$cnf( $equal(complement(meet(X_92,top)),meet(top,complement(meet(X_92,top)))) )],[refute_0_825,refute_0_830]) ).
cnf(refute_0_832,plain,
( complement(meet(X_91,top)) != meet(top,complement(meet(X_91,top)))
| meet(top,complement(meet(X_91,top))) = complement(meet(X_91,top)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(complement(meet(X_91,top)))),bind(Y,$fot(meet(top,complement(meet(X_91,top)))))]]) ).
cnf(refute_0_833,plain,
meet(top,complement(meet(X_91,top))) = complement(meet(X_91,top)),
inference(resolve,[$cnf( $equal(complement(meet(X_91,top)),meet(top,complement(meet(X_91,top)))) )],[refute_0_824,refute_0_832]) ).
cnf(refute_0_834,plain,
meet(top,complement(meet(X_92,top))) = complement(meet(X_92,top)),
inference(subst,[],[refute_0_833:[bind(X_91,$fot(X_92))]]) ).
cnf(refute_0_835,plain,
( complement(meet(top,X_92)) != meet(top,complement(meet(X_92,top)))
| meet(top,complement(meet(X_92,top))) != complement(meet(X_92,top))
| complement(meet(top,X_92)) = complement(meet(X_92,top)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(meet(top,X_92)),complement(meet(X_92,top))) ),[0],$fot(meet(top,complement(meet(X_92,top))))]]) ).
cnf(refute_0_836,plain,
( complement(meet(top,X_92)) != meet(top,complement(meet(X_92,top)))
| complement(meet(top,X_92)) = complement(meet(X_92,top)) ),
inference(resolve,[$cnf( $equal(meet(top,complement(meet(X_92,top))),complement(meet(X_92,top))) )],[refute_0_834,refute_0_835]) ).
cnf(refute_0_837,plain,
complement(meet(top,X_92)) = complement(meet(X_92,top)),
inference(resolve,[$cnf( $equal(complement(meet(top,X_92)),meet(top,complement(meet(X_92,top)))) )],[refute_0_831,refute_0_836]) ).
cnf(refute_0_838,plain,
( complement(meet(top,X_92)) != complement(meet(X_92,top))
| complement(meet(X_92,top)) = complement(meet(top,X_92)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(complement(meet(top,X_92)))),bind(Y,$fot(complement(meet(X_92,top))))]]) ).
cnf(refute_0_839,plain,
complement(meet(X_92,top)) = complement(meet(top,X_92)),
inference(resolve,[$cnf( $equal(complement(meet(top,X_92)),complement(meet(X_92,top))) )],[refute_0_837,refute_0_838]) ).
cnf(refute_0_840,plain,
complement(meet(complement(meet(meet(X_93,top),meet(top,X_93))),top)) = complement(meet(top,complement(meet(meet(X_93,top),meet(top,X_93))))),
inference(subst,[],[refute_0_839:[bind(X_92,$fot(complement(meet(meet(X_93,top),meet(top,X_93)))))]]) ).
cnf(refute_0_841,plain,
( complement(meet(complement(meet(meet(X_93,top),meet(top,X_93))),top)) != complement(meet(top,complement(meet(meet(X_93,top),meet(top,X_93)))))
| complement(meet(top,complement(meet(meet(X_93,top),meet(top,X_93))))) != meet(X_93,top)
| complement(meet(complement(meet(meet(X_93,top),meet(top,X_93))),top)) = meet(X_93,top) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(complement(meet(complement(meet(meet(X_93,top),meet(top,X_93))),top)))),bind(Y,$fot(complement(meet(top,complement(meet(meet(X_93,top),meet(top,X_93))))))),bind(Z,$fot(meet(X_93,top)))]]) ).
cnf(refute_0_842,plain,
( complement(meet(top,complement(meet(meet(X_93,top),meet(top,X_93))))) != meet(X_93,top)
| complement(meet(complement(meet(meet(X_93,top),meet(top,X_93))),top)) = meet(X_93,top) ),
inference(resolve,[$cnf( $equal(complement(meet(complement(meet(meet(X_93,top),meet(top,X_93))),top)),complement(meet(top,complement(meet(meet(X_93,top),meet(top,X_93)))))) )],[refute_0_840,refute_0_841]) ).
cnf(refute_0_843,plain,
complement(meet(complement(meet(meet(X_93,top),meet(top,X_93))),top)) = meet(X_93,top),
inference(resolve,[$cnf( $equal(complement(meet(top,complement(meet(meet(X_93,top),meet(top,X_93))))),meet(X_93,top)) )],[refute_0_768,refute_0_842]) ).
cnf(refute_0_844,plain,
( complement(meet(complement(meet(meet(X_93,top),meet(top,X_93))),top)) != meet(X_93,top)
| complement(meet(complement(meet(meet(X_93,top),meet(top,X_93))),top)) != meet(top,complement(meet(meet(complement(meet(meet(X_93,top),meet(top,X_93))),top),complement(meet(X_93,top)))))
| meet(X_93,top) = meet(top,complement(meet(meet(complement(meet(meet(X_93,top),meet(top,X_93))),top),complement(meet(X_93,top))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(complement(meet(meet(X_93,top),meet(top,X_93))),top)),meet(top,complement(meet(meet(complement(meet(meet(X_93,top),meet(top,X_93))),top),complement(meet(X_93,top)))))) ),[0],$fot(meet(X_93,top))]]) ).
cnf(refute_0_845,plain,
( complement(meet(complement(meet(meet(X_93,top),meet(top,X_93))),top)) != meet(top,complement(meet(meet(complement(meet(meet(X_93,top),meet(top,X_93))),top),complement(meet(X_93,top)))))
| meet(X_93,top) = meet(top,complement(meet(meet(complement(meet(meet(X_93,top),meet(top,X_93))),top),complement(meet(X_93,top))))) ),
inference(resolve,[$cnf( $equal(complement(meet(complement(meet(meet(X_93,top),meet(top,X_93))),top)),meet(X_93,top)) )],[refute_0_843,refute_0_844]) ).
cnf(refute_0_846,plain,
complement(meet(complement(meet(X_93,top)),complement(meet(X_93,top)))) = complement(complement(meet(X_93,top))),
inference(subst,[],[refute_0_806:[bind(X1,$fot(complement(meet(X_93,top))))]]) ).
cnf(refute_0_847,plain,
( complement(complement(meet(X_93,top))) != meet(X_93,top)
| complement(meet(complement(meet(X_93,top)),complement(meet(X_93,top)))) != complement(complement(meet(X_93,top)))
| complement(meet(complement(meet(X_93,top)),complement(meet(X_93,top)))) = meet(X_93,top) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(complement(meet(complement(meet(X_93,top)),complement(meet(X_93,top)))))),bind(Y,$fot(complement(complement(meet(X_93,top))))),bind(Z,$fot(meet(X_93,top)))]]) ).
cnf(refute_0_848,plain,
( complement(complement(meet(X_93,top))) != meet(X_93,top)
| complement(meet(complement(meet(X_93,top)),complement(meet(X_93,top)))) = meet(X_93,top) ),
inference(resolve,[$cnf( $equal(complement(meet(complement(meet(X_93,top)),complement(meet(X_93,top)))),complement(complement(meet(X_93,top)))) )],[refute_0_846,refute_0_847]) ).
cnf(refute_0_849,plain,
complement(meet(complement(meet(X_93,top)),complement(meet(X_93,top)))) = meet(X_93,top),
inference(resolve,[$cnf( $equal(complement(complement(meet(X_93,top))),meet(X_93,top)) )],[refute_0_761,refute_0_848]) ).
cnf(refute_0_850,plain,
meet(complement(meet(meet(X_93,top),meet(top,X_93))),top) = meet(top,complement(meet(meet(X_93,top),meet(top,X_93)))),
inference(subst,[],[refute_0_332:[bind(X0,$fot(complement(meet(meet(X_93,top),meet(top,X_93)))))]]) ).
cnf(refute_0_851,plain,
( meet(complement(meet(meet(X_93,top),meet(top,X_93))),top) != meet(top,complement(meet(meet(X_93,top),meet(top,X_93))))
| meet(top,complement(meet(meet(X_93,top),meet(top,X_93)))) != complement(meet(X_93,top))
| meet(complement(meet(meet(X_93,top),meet(top,X_93))),top) = complement(meet(X_93,top)) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(meet(complement(meet(meet(X_93,top),meet(top,X_93))),top))),bind(Y,$fot(meet(top,complement(meet(meet(X_93,top),meet(top,X_93)))))),bind(Z,$fot(complement(meet(X_93,top))))]]) ).
cnf(refute_0_852,plain,
( meet(top,complement(meet(meet(X_93,top),meet(top,X_93)))) != complement(meet(X_93,top))
| meet(complement(meet(meet(X_93,top),meet(top,X_93))),top) = complement(meet(X_93,top)) ),
inference(resolve,[$cnf( $equal(meet(complement(meet(meet(X_93,top),meet(top,X_93))),top),meet(top,complement(meet(meet(X_93,top),meet(top,X_93))))) )],[refute_0_850,refute_0_851]) ).
cnf(refute_0_853,plain,
meet(complement(meet(meet(X_93,top),meet(top,X_93))),top) = complement(meet(X_93,top)),
inference(resolve,[$cnf( $equal(meet(top,complement(meet(meet(X_93,top),meet(top,X_93)))),complement(meet(X_93,top))) )],[refute_0_757,refute_0_852]) ).
cnf(refute_0_854,plain,
meet(complement(meet(X_93,top)),meet(complement(meet(meet(X_93,top),meet(top,X_93))),top)) = meet(complement(meet(X_93,top)),meet(complement(meet(meet(X_93,top),meet(top,X_93))),top)),
introduced(tautology,[refl,[$fot(meet(complement(meet(X_93,top)),meet(complement(meet(meet(X_93,top),meet(top,X_93))),top)))]]) ).
cnf(refute_0_855,plain,
( meet(complement(meet(X_93,top)),meet(complement(meet(meet(X_93,top),meet(top,X_93))),top)) != meet(complement(meet(X_93,top)),meet(complement(meet(meet(X_93,top),meet(top,X_93))),top))
| meet(complement(meet(meet(X_93,top),meet(top,X_93))),top) != complement(meet(X_93,top))
| meet(complement(meet(X_93,top)),meet(complement(meet(meet(X_93,top),meet(top,X_93))),top)) = meet(complement(meet(X_93,top)),complement(meet(X_93,top))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(meet(X_93,top)),meet(complement(meet(meet(X_93,top),meet(top,X_93))),top)),meet(complement(meet(X_93,top)),meet(complement(meet(meet(X_93,top),meet(top,X_93))),top))) ),[1,1],$fot(complement(meet(X_93,top)))]]) ).
cnf(refute_0_856,plain,
( meet(complement(meet(meet(X_93,top),meet(top,X_93))),top) != complement(meet(X_93,top))
| meet(complement(meet(X_93,top)),meet(complement(meet(meet(X_93,top),meet(top,X_93))),top)) = meet(complement(meet(X_93,top)),complement(meet(X_93,top))) ),
inference(resolve,[$cnf( $equal(meet(complement(meet(X_93,top)),meet(complement(meet(meet(X_93,top),meet(top,X_93))),top)),meet(complement(meet(X_93,top)),meet(complement(meet(meet(X_93,top),meet(top,X_93))),top))) )],[refute_0_854,refute_0_855]) ).
cnf(refute_0_857,plain,
meet(complement(meet(X_93,top)),meet(complement(meet(meet(X_93,top),meet(top,X_93))),top)) = meet(complement(meet(X_93,top)),complement(meet(X_93,top))),
inference(resolve,[$cnf( $equal(meet(complement(meet(meet(X_93,top),meet(top,X_93))),top),complement(meet(X_93,top))) )],[refute_0_853,refute_0_856]) ).
cnf(refute_0_858,plain,
meet(meet(complement(meet(meet(X_93,top),meet(top,X_93))),top),complement(meet(X_93,top))) = meet(complement(meet(X_93,top)),meet(complement(meet(meet(X_93,top),meet(top,X_93))),top)),
inference(subst,[],[refute_0_129:[bind(X_6,$fot(complement(meet(X_93,top)))),bind(X_7,$fot(meet(complement(meet(meet(X_93,top),meet(top,X_93))),top)))]]) ).
cnf(refute_0_859,plain,
( meet(complement(meet(X_93,top)),meet(complement(meet(meet(X_93,top),meet(top,X_93))),top)) != meet(complement(meet(X_93,top)),complement(meet(X_93,top)))
| meet(meet(complement(meet(meet(X_93,top),meet(top,X_93))),top),complement(meet(X_93,top))) != meet(complement(meet(X_93,top)),meet(complement(meet(meet(X_93,top),meet(top,X_93))),top))
| meet(meet(complement(meet(meet(X_93,top),meet(top,X_93))),top),complement(meet(X_93,top))) = meet(complement(meet(X_93,top)),complement(meet(X_93,top))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(meet(meet(complement(meet(meet(X_93,top),meet(top,X_93))),top),complement(meet(X_93,top))))),bind(Y,$fot(meet(complement(meet(X_93,top)),meet(complement(meet(meet(X_93,top),meet(top,X_93))),top)))),bind(Z,$fot(meet(complement(meet(X_93,top)),complement(meet(X_93,top)))))]]) ).
cnf(refute_0_860,plain,
( meet(complement(meet(X_93,top)),meet(complement(meet(meet(X_93,top),meet(top,X_93))),top)) != meet(complement(meet(X_93,top)),complement(meet(X_93,top)))
| meet(meet(complement(meet(meet(X_93,top),meet(top,X_93))),top),complement(meet(X_93,top))) = meet(complement(meet(X_93,top)),complement(meet(X_93,top))) ),
inference(resolve,[$cnf( $equal(meet(meet(complement(meet(meet(X_93,top),meet(top,X_93))),top),complement(meet(X_93,top))),meet(complement(meet(X_93,top)),meet(complement(meet(meet(X_93,top),meet(top,X_93))),top))) )],[refute_0_858,refute_0_859]) ).
cnf(refute_0_861,plain,
meet(meet(complement(meet(meet(X_93,top),meet(top,X_93))),top),complement(meet(X_93,top))) = meet(complement(meet(X_93,top)),complement(meet(X_93,top))),
inference(resolve,[$cnf( $equal(meet(complement(meet(X_93,top)),meet(complement(meet(meet(X_93,top),meet(top,X_93))),top)),meet(complement(meet(X_93,top)),complement(meet(X_93,top)))) )],[refute_0_857,refute_0_860]) ).
cnf(refute_0_862,plain,
complement(meet(meet(complement(meet(meet(X_93,top),meet(top,X_93))),top),complement(meet(X_93,top)))) = complement(meet(meet(complement(meet(meet(X_93,top),meet(top,X_93))),top),complement(meet(X_93,top)))),
introduced(tautology,[refl,[$fot(complement(meet(meet(complement(meet(meet(X_93,top),meet(top,X_93))),top),complement(meet(X_93,top)))))]]) ).
cnf(refute_0_863,plain,
( complement(meet(meet(complement(meet(meet(X_93,top),meet(top,X_93))),top),complement(meet(X_93,top)))) != complement(meet(meet(complement(meet(meet(X_93,top),meet(top,X_93))),top),complement(meet(X_93,top))))
| meet(meet(complement(meet(meet(X_93,top),meet(top,X_93))),top),complement(meet(X_93,top))) != meet(complement(meet(X_93,top)),complement(meet(X_93,top)))
| complement(meet(meet(complement(meet(meet(X_93,top),meet(top,X_93))),top),complement(meet(X_93,top)))) = complement(meet(complement(meet(X_93,top)),complement(meet(X_93,top)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(meet(complement(meet(meet(X_93,top),meet(top,X_93))),top),complement(meet(X_93,top)))),complement(meet(meet(complement(meet(meet(X_93,top),meet(top,X_93))),top),complement(meet(X_93,top))))) ),[1,0],$fot(meet(complement(meet(X_93,top)),complement(meet(X_93,top))))]]) ).
cnf(refute_0_864,plain,
( meet(meet(complement(meet(meet(X_93,top),meet(top,X_93))),top),complement(meet(X_93,top))) != meet(complement(meet(X_93,top)),complement(meet(X_93,top)))
| complement(meet(meet(complement(meet(meet(X_93,top),meet(top,X_93))),top),complement(meet(X_93,top)))) = complement(meet(complement(meet(X_93,top)),complement(meet(X_93,top)))) ),
inference(resolve,[$cnf( $equal(complement(meet(meet(complement(meet(meet(X_93,top),meet(top,X_93))),top),complement(meet(X_93,top)))),complement(meet(meet(complement(meet(meet(X_93,top),meet(top,X_93))),top),complement(meet(X_93,top))))) )],[refute_0_862,refute_0_863]) ).
cnf(refute_0_865,plain,
complement(meet(meet(complement(meet(meet(X_93,top),meet(top,X_93))),top),complement(meet(X_93,top)))) = complement(meet(complement(meet(X_93,top)),complement(meet(X_93,top)))),
inference(resolve,[$cnf( $equal(meet(meet(complement(meet(meet(X_93,top),meet(top,X_93))),top),complement(meet(X_93,top))),meet(complement(meet(X_93,top)),complement(meet(X_93,top)))) )],[refute_0_861,refute_0_864]) ).
cnf(refute_0_866,plain,
( complement(meet(complement(meet(X_93,top)),complement(meet(X_93,top)))) != meet(X_93,top)
| complement(meet(meet(complement(meet(meet(X_93,top),meet(top,X_93))),top),complement(meet(X_93,top)))) != complement(meet(complement(meet(X_93,top)),complement(meet(X_93,top))))
| complement(meet(meet(complement(meet(meet(X_93,top),meet(top,X_93))),top),complement(meet(X_93,top)))) = meet(X_93,top) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(complement(meet(meet(complement(meet(meet(X_93,top),meet(top,X_93))),top),complement(meet(X_93,top)))))),bind(Y,$fot(complement(meet(complement(meet(X_93,top)),complement(meet(X_93,top)))))),bind(Z,$fot(meet(X_93,top)))]]) ).
cnf(refute_0_867,plain,
( complement(meet(complement(meet(X_93,top)),complement(meet(X_93,top)))) != meet(X_93,top)
| complement(meet(meet(complement(meet(meet(X_93,top),meet(top,X_93))),top),complement(meet(X_93,top)))) = meet(X_93,top) ),
inference(resolve,[$cnf( $equal(complement(meet(meet(complement(meet(meet(X_93,top),meet(top,X_93))),top),complement(meet(X_93,top)))),complement(meet(complement(meet(X_93,top)),complement(meet(X_93,top))))) )],[refute_0_865,refute_0_866]) ).
cnf(refute_0_868,plain,
complement(meet(meet(complement(meet(meet(X_93,top),meet(top,X_93))),top),complement(meet(X_93,top)))) = meet(X_93,top),
inference(resolve,[$cnf( $equal(complement(meet(complement(meet(X_93,top)),complement(meet(X_93,top)))),meet(X_93,top)) )],[refute_0_849,refute_0_867]) ).
cnf(refute_0_869,plain,
meet(top,complement(meet(meet(complement(meet(meet(X_93,top),meet(top,X_93))),top),complement(meet(X_93,top))))) = meet(top,complement(meet(meet(complement(meet(meet(X_93,top),meet(top,X_93))),top),complement(meet(X_93,top))))),
introduced(tautology,[refl,[$fot(meet(top,complement(meet(meet(complement(meet(meet(X_93,top),meet(top,X_93))),top),complement(meet(X_93,top))))))]]) ).
cnf(refute_0_870,plain,
( complement(meet(meet(complement(meet(meet(X_93,top),meet(top,X_93))),top),complement(meet(X_93,top)))) != meet(X_93,top)
| meet(top,complement(meet(meet(complement(meet(meet(X_93,top),meet(top,X_93))),top),complement(meet(X_93,top))))) != meet(top,complement(meet(meet(complement(meet(meet(X_93,top),meet(top,X_93))),top),complement(meet(X_93,top)))))
| meet(top,complement(meet(meet(complement(meet(meet(X_93,top),meet(top,X_93))),top),complement(meet(X_93,top))))) = meet(top,meet(X_93,top)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,complement(meet(meet(complement(meet(meet(X_93,top),meet(top,X_93))),top),complement(meet(X_93,top))))),meet(top,complement(meet(meet(complement(meet(meet(X_93,top),meet(top,X_93))),top),complement(meet(X_93,top)))))) ),[1,1],$fot(meet(X_93,top))]]) ).
cnf(refute_0_871,plain,
( complement(meet(meet(complement(meet(meet(X_93,top),meet(top,X_93))),top),complement(meet(X_93,top)))) != meet(X_93,top)
| meet(top,complement(meet(meet(complement(meet(meet(X_93,top),meet(top,X_93))),top),complement(meet(X_93,top))))) = meet(top,meet(X_93,top)) ),
inference(resolve,[$cnf( $equal(meet(top,complement(meet(meet(complement(meet(meet(X_93,top),meet(top,X_93))),top),complement(meet(X_93,top))))),meet(top,complement(meet(meet(complement(meet(meet(X_93,top),meet(top,X_93))),top),complement(meet(X_93,top)))))) )],[refute_0_869,refute_0_870]) ).
cnf(refute_0_872,plain,
meet(top,complement(meet(meet(complement(meet(meet(X_93,top),meet(top,X_93))),top),complement(meet(X_93,top))))) = meet(top,meet(X_93,top)),
inference(resolve,[$cnf( $equal(complement(meet(meet(complement(meet(meet(X_93,top),meet(top,X_93))),top),complement(meet(X_93,top)))),meet(X_93,top)) )],[refute_0_868,refute_0_871]) ).
cnf(refute_0_873,plain,
( meet(X_93,top) != meet(top,complement(meet(meet(complement(meet(meet(X_93,top),meet(top,X_93))),top),complement(meet(X_93,top)))))
| meet(top,complement(meet(meet(complement(meet(meet(X_93,top),meet(top,X_93))),top),complement(meet(X_93,top))))) != meet(top,meet(X_93,top))
| meet(X_93,top) = meet(top,meet(X_93,top)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(meet(X_93,top),meet(top,meet(X_93,top))) ),[0],$fot(meet(top,complement(meet(meet(complement(meet(meet(X_93,top),meet(top,X_93))),top),complement(meet(X_93,top))))))]]) ).
cnf(refute_0_874,plain,
( meet(X_93,top) != meet(top,complement(meet(meet(complement(meet(meet(X_93,top),meet(top,X_93))),top),complement(meet(X_93,top)))))
| meet(X_93,top) = meet(top,meet(X_93,top)) ),
inference(resolve,[$cnf( $equal(meet(top,complement(meet(meet(complement(meet(meet(X_93,top),meet(top,X_93))),top),complement(meet(X_93,top))))),meet(top,meet(X_93,top))) )],[refute_0_872,refute_0_873]) ).
cnf(refute_0_875,plain,
( complement(meet(complement(meet(meet(X_93,top),meet(top,X_93))),top)) != meet(top,complement(meet(meet(complement(meet(meet(X_93,top),meet(top,X_93))),top),complement(meet(X_93,top)))))
| meet(X_93,top) = meet(top,meet(X_93,top)) ),
inference(resolve,[$cnf( $equal(meet(X_93,top),meet(top,complement(meet(meet(complement(meet(meet(X_93,top),meet(top,X_93))),top),complement(meet(X_93,top)))))) )],[refute_0_845,refute_0_874]) ).
cnf(refute_0_876,plain,
meet(X_93,top) = meet(top,meet(X_93,top)),
inference(resolve,[$cnf( $equal(complement(meet(complement(meet(meet(X_93,top),meet(top,X_93))),top)),meet(top,complement(meet(meet(complement(meet(meet(X_93,top),meet(top,X_93))),top),complement(meet(X_93,top)))))) )],[refute_0_760,refute_0_875]) ).
cnf(refute_0_877,plain,
meet(X_34,top) = join(meet(X_34,meet(X_34,top)),complement(join(complement(meet(X_34,top)),X_34))),
inference(subst,[],[refute_0_152:[bind(X_33,$fot(meet(X_34,top)))]]) ).
cnf(refute_0_878,plain,
join(X_45,zero) = join(meet(join(X_45,zero),meet(X_45,top)),complement(join(meet(X_45,top),complement(join(X_45,zero))))),
inference(subst,[],[refute_0_359:[bind(X_33,$fot(join(X_45,zero))),bind(X_34,$fot(meet(X_45,top)))]]) ).
cnf(refute_0_879,plain,
top = join(meet(top,X_34),complement(join(complement(top),X_34))),
inference(subst,[],[refute_0_42:[bind(X0,$fot(top)),bind(X1,$fot(X_34))]]) ).
cnf(refute_0_880,plain,
( complement(top) != zero
| top != join(meet(top,X_34),complement(join(complement(top),X_34)))
| top = join(meet(top,X_34),complement(join(zero,X_34))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(meet(top,X_34),complement(join(complement(top),X_34)))) ),[1,1,0,0],$fot(zero)]]) ).
cnf(refute_0_881,plain,
( top != join(meet(top,X_34),complement(join(complement(top),X_34)))
| top = join(meet(top,X_34),complement(join(zero,X_34))) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_113,refute_0_880]) ).
cnf(refute_0_882,plain,
top = join(meet(top,X_34),complement(join(zero,X_34))),
inference(resolve,[$cnf( $equal(top,join(meet(top,X_34),complement(join(complement(top),X_34)))) )],[refute_0_879,refute_0_881]) ).
cnf(refute_0_883,plain,
top = join(meet(top,X_37),complement(join(zero,X_37))),
inference(subst,[],[refute_0_882:[bind(X_34,$fot(X_37))]]) ).
cnf(refute_0_884,plain,
join(X_37,zero) = join(zero,X_37),
inference(subst,[],[refute_0_1:[bind(X0,$fot(X_37)),bind(X1,$fot(zero))]]) ).
cnf(refute_0_885,plain,
( join(X_37,zero) != join(zero,X_37)
| join(zero,X_37) = join(X_37,zero) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(X_37,zero))),bind(Y,$fot(join(zero,X_37)))]]) ).
cnf(refute_0_886,plain,
join(zero,X_37) = join(X_37,zero),
inference(resolve,[$cnf( $equal(join(X_37,zero),join(zero,X_37)) )],[refute_0_884,refute_0_885]) ).
cnf(refute_0_887,plain,
( join(zero,X_37) != join(X_37,zero)
| top != join(meet(top,X_37),complement(join(zero,X_37)))
| top = join(meet(top,X_37),complement(join(X_37,zero))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(meet(top,X_37),complement(join(zero,X_37)))) ),[1,1,0],$fot(join(X_37,zero))]]) ).
cnf(refute_0_888,plain,
( top != join(meet(top,X_37),complement(join(zero,X_37)))
| top = join(meet(top,X_37),complement(join(X_37,zero))) ),
inference(resolve,[$cnf( $equal(join(zero,X_37),join(X_37,zero)) )],[refute_0_886,refute_0_887]) ).
cnf(refute_0_889,plain,
top = join(meet(top,X_37),complement(join(X_37,zero))),
inference(resolve,[$cnf( $equal(top,join(meet(top,X_37),complement(join(zero,X_37)))) )],[refute_0_883,refute_0_888]) ).
cnf(refute_0_890,plain,
top = join(meet(top,X_45),complement(join(X_45,zero))),
inference(subst,[],[refute_0_889:[bind(X_37,$fot(X_45))]]) ).
cnf(refute_0_891,plain,
meet(X_45,top) = meet(top,X_45),
inference(subst,[],[refute_0_65:[bind(X_6,$fot(X_45)),bind(X_7,$fot(top))]]) ).
cnf(refute_0_892,plain,
( meet(X_45,top) != meet(top,X_45)
| meet(top,X_45) = meet(X_45,top) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(meet(X_45,top))),bind(Y,$fot(meet(top,X_45)))]]) ).
cnf(refute_0_893,plain,
meet(top,X_45) = meet(X_45,top),
inference(resolve,[$cnf( $equal(meet(X_45,top),meet(top,X_45)) )],[refute_0_891,refute_0_892]) ).
cnf(refute_0_894,plain,
( meet(top,X_45) != meet(X_45,top)
| top != join(meet(top,X_45),complement(join(X_45,zero)))
| top = join(meet(X_45,top),complement(join(X_45,zero))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(meet(top,X_45),complement(join(X_45,zero)))) ),[1,0],$fot(meet(X_45,top))]]) ).
cnf(refute_0_895,plain,
( top != join(meet(top,X_45),complement(join(X_45,zero)))
| top = join(meet(X_45,top),complement(join(X_45,zero))) ),
inference(resolve,[$cnf( $equal(meet(top,X_45),meet(X_45,top)) )],[refute_0_893,refute_0_894]) ).
cnf(refute_0_896,plain,
top = join(meet(X_45,top),complement(join(X_45,zero))),
inference(resolve,[$cnf( $equal(top,join(meet(top,X_45),complement(join(X_45,zero)))) )],[refute_0_890,refute_0_895]) ).
cnf(refute_0_897,plain,
( top != join(meet(X_45,top),complement(join(X_45,zero)))
| join(meet(X_45,top),complement(join(X_45,zero))) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(meet(X_45,top),complement(join(X_45,zero)))))]]) ).
cnf(refute_0_898,plain,
join(meet(X_45,top),complement(join(X_45,zero))) = top,
inference(resolve,[$cnf( $equal(top,join(meet(X_45,top),complement(join(X_45,zero)))) )],[refute_0_896,refute_0_897]) ).
cnf(refute_0_899,plain,
( join(X_45,zero) != join(meet(join(X_45,zero),meet(X_45,top)),complement(join(meet(X_45,top),complement(join(X_45,zero)))))
| join(meet(X_45,top),complement(join(X_45,zero))) != top
| join(X_45,zero) = join(meet(join(X_45,zero),meet(X_45,top)),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_45,zero),join(meet(join(X_45,zero),meet(X_45,top)),complement(join(meet(X_45,top),complement(join(X_45,zero)))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_0_900,plain,
( join(X_45,zero) != join(meet(join(X_45,zero),meet(X_45,top)),complement(join(meet(X_45,top),complement(join(X_45,zero)))))
| join(X_45,zero) = join(meet(join(X_45,zero),meet(X_45,top)),complement(top)) ),
inference(resolve,[$cnf( $equal(join(meet(X_45,top),complement(join(X_45,zero))),top) )],[refute_0_898,refute_0_899]) ).
cnf(refute_0_901,plain,
join(X_45,zero) = join(meet(join(X_45,zero),meet(X_45,top)),complement(top)),
inference(resolve,[$cnf( $equal(join(X_45,zero),join(meet(join(X_45,zero),meet(X_45,top)),complement(join(meet(X_45,top),complement(join(X_45,zero)))))) )],[refute_0_878,refute_0_900]) ).
cnf(refute_0_902,plain,
join(complement(top),meet(join(X_45,zero),meet(X_45,top))) = join(complement(top),meet(join(X_45,zero),meet(X_45,top))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(join(X_45,zero),meet(X_45,top))))]]) ).
cnf(refute_0_903,plain,
( complement(top) != zero
| join(complement(top),meet(join(X_45,zero),meet(X_45,top))) != join(complement(top),meet(join(X_45,zero),meet(X_45,top)))
| join(complement(top),meet(join(X_45,zero),meet(X_45,top))) = join(zero,meet(join(X_45,zero),meet(X_45,top))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(join(X_45,zero),meet(X_45,top))),join(complement(top),meet(join(X_45,zero),meet(X_45,top)))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_904,plain,
( complement(top) != zero
| join(complement(top),meet(join(X_45,zero),meet(X_45,top))) = join(zero,meet(join(X_45,zero),meet(X_45,top))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(join(X_45,zero),meet(X_45,top))),join(complement(top),meet(join(X_45,zero),meet(X_45,top)))) )],[refute_0_902,refute_0_903]) ).
cnf(refute_0_905,plain,
join(complement(top),meet(join(X_45,zero),meet(X_45,top))) = join(zero,meet(join(X_45,zero),meet(X_45,top))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_113,refute_0_904]) ).
cnf(refute_0_906,plain,
join(meet(join(X_45,zero),meet(X_45,top)),complement(top)) = join(complement(top),meet(join(X_45,zero),meet(X_45,top))),
inference(subst,[],[refute_0_6:[bind(X0,$fot(complement(top))),bind(X1,$fot(meet(join(X_45,zero),meet(X_45,top))))]]) ).
cnf(refute_0_907,plain,
( join(complement(top),meet(join(X_45,zero),meet(X_45,top))) != join(zero,meet(join(X_45,zero),meet(X_45,top)))
| join(meet(join(X_45,zero),meet(X_45,top)),complement(top)) != join(complement(top),meet(join(X_45,zero),meet(X_45,top)))
| join(meet(join(X_45,zero),meet(X_45,top)),complement(top)) = join(zero,meet(join(X_45,zero),meet(X_45,top))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(meet(join(X_45,zero),meet(X_45,top)),complement(top)))),bind(Y,$fot(join(complement(top),meet(join(X_45,zero),meet(X_45,top))))),bind(Z,$fot(join(zero,meet(join(X_45,zero),meet(X_45,top)))))]]) ).
cnf(refute_0_908,plain,
( join(complement(top),meet(join(X_45,zero),meet(X_45,top))) != join(zero,meet(join(X_45,zero),meet(X_45,top)))
| join(meet(join(X_45,zero),meet(X_45,top)),complement(top)) = join(zero,meet(join(X_45,zero),meet(X_45,top))) ),
inference(resolve,[$cnf( $equal(join(meet(join(X_45,zero),meet(X_45,top)),complement(top)),join(complement(top),meet(join(X_45,zero),meet(X_45,top)))) )],[refute_0_906,refute_0_907]) ).
cnf(refute_0_909,plain,
join(meet(join(X_45,zero),meet(X_45,top)),complement(top)) = join(zero,meet(join(X_45,zero),meet(X_45,top))),
inference(resolve,[$cnf( $equal(join(complement(top),meet(join(X_45,zero),meet(X_45,top))),join(zero,meet(join(X_45,zero),meet(X_45,top)))) )],[refute_0_905,refute_0_908]) ).
cnf(refute_0_910,plain,
( join(X_45,zero) != join(meet(join(X_45,zero),meet(X_45,top)),complement(top))
| join(meet(join(X_45,zero),meet(X_45,top)),complement(top)) != join(zero,meet(join(X_45,zero),meet(X_45,top)))
| join(X_45,zero) = join(zero,meet(join(X_45,zero),meet(X_45,top))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_45,zero),join(zero,meet(join(X_45,zero),meet(X_45,top)))) ),[0],$fot(join(meet(join(X_45,zero),meet(X_45,top)),complement(top)))]]) ).
cnf(refute_0_911,plain,
( join(X_45,zero) != join(meet(join(X_45,zero),meet(X_45,top)),complement(top))
| join(X_45,zero) = join(zero,meet(join(X_45,zero),meet(X_45,top))) ),
inference(resolve,[$cnf( $equal(join(meet(join(X_45,zero),meet(X_45,top)),complement(top)),join(zero,meet(join(X_45,zero),meet(X_45,top)))) )],[refute_0_909,refute_0_910]) ).
cnf(refute_0_912,plain,
join(X_45,zero) = join(zero,meet(join(X_45,zero),meet(X_45,top))),
inference(resolve,[$cnf( $equal(join(X_45,zero),join(meet(join(X_45,zero),meet(X_45,top)),complement(top))) )],[refute_0_901,refute_0_911]) ).
cnf(refute_0_913,plain,
( X_117 != join(X_117,zero)
| join(X_117,zero) = X_117 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(X_117)),bind(Y,$fot(join(X_117,zero)))]]) ).
cnf(refute_0_914,plain,
join(X_117,zero) = X_117,
inference(resolve,[$cnf( $equal(X_117,join(X_117,zero)) )],[refute_0_277,refute_0_913]) ).
cnf(refute_0_915,plain,
join(X_45,zero) = X_45,
inference(subst,[],[refute_0_914:[bind(X_117,$fot(X_45))]]) ).
cnf(refute_0_916,plain,
( join(X_45,zero) != X_45
| join(X_45,zero) != join(zero,meet(join(X_45,zero),meet(X_45,top)))
| X_45 = join(zero,meet(join(X_45,zero),meet(X_45,top))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_45,zero),join(zero,meet(join(X_45,zero),meet(X_45,top)))) ),[0],$fot(X_45)]]) ).
cnf(refute_0_917,plain,
( join(X_45,zero) != join(zero,meet(join(X_45,zero),meet(X_45,top)))
| X_45 = join(zero,meet(join(X_45,zero),meet(X_45,top))) ),
inference(resolve,[$cnf( $equal(join(X_45,zero),X_45) )],[refute_0_915,refute_0_916]) ).
cnf(refute_0_918,plain,
meet(join(X_45,zero),meet(X_45,top)) = meet(join(X_45,zero),meet(X_45,top)),
introduced(tautology,[refl,[$fot(meet(join(X_45,zero),meet(X_45,top)))]]) ).
cnf(refute_0_919,plain,
( join(X_45,zero) != X_45
| meet(join(X_45,zero),meet(X_45,top)) != meet(join(X_45,zero),meet(X_45,top))
| meet(join(X_45,zero),meet(X_45,top)) = meet(X_45,meet(X_45,top)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_45,zero),meet(X_45,top)),meet(join(X_45,zero),meet(X_45,top))) ),[1,0],$fot(X_45)]]) ).
cnf(refute_0_920,plain,
( join(X_45,zero) != X_45
| meet(join(X_45,zero),meet(X_45,top)) = meet(X_45,meet(X_45,top)) ),
inference(resolve,[$cnf( $equal(meet(join(X_45,zero),meet(X_45,top)),meet(join(X_45,zero),meet(X_45,top))) )],[refute_0_918,refute_0_919]) ).
cnf(refute_0_921,plain,
meet(join(X_45,zero),meet(X_45,top)) = meet(X_45,meet(X_45,top)),
inference(resolve,[$cnf( $equal(join(X_45,zero),X_45) )],[refute_0_915,refute_0_920]) ).
cnf(refute_0_922,plain,
join(zero,meet(join(X_45,zero),meet(X_45,top))) = join(zero,meet(join(X_45,zero),meet(X_45,top))),
introduced(tautology,[refl,[$fot(join(zero,meet(join(X_45,zero),meet(X_45,top))))]]) ).
cnf(refute_0_923,plain,
( join(zero,meet(join(X_45,zero),meet(X_45,top))) != join(zero,meet(join(X_45,zero),meet(X_45,top)))
| meet(join(X_45,zero),meet(X_45,top)) != meet(X_45,meet(X_45,top))
| join(zero,meet(join(X_45,zero),meet(X_45,top))) = join(zero,meet(X_45,meet(X_45,top))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(join(X_45,zero),meet(X_45,top))),join(zero,meet(join(X_45,zero),meet(X_45,top)))) ),[1,1],$fot(meet(X_45,meet(X_45,top)))]]) ).
cnf(refute_0_924,plain,
( meet(join(X_45,zero),meet(X_45,top)) != meet(X_45,meet(X_45,top))
| join(zero,meet(join(X_45,zero),meet(X_45,top))) = join(zero,meet(X_45,meet(X_45,top))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(join(X_45,zero),meet(X_45,top))),join(zero,meet(join(X_45,zero),meet(X_45,top)))) )],[refute_0_922,refute_0_923]) ).
cnf(refute_0_925,plain,
join(zero,meet(join(X_45,zero),meet(X_45,top))) = join(zero,meet(X_45,meet(X_45,top))),
inference(resolve,[$cnf( $equal(meet(join(X_45,zero),meet(X_45,top)),meet(X_45,meet(X_45,top))) )],[refute_0_921,refute_0_924]) ).
cnf(refute_0_926,plain,
( X_45 != join(zero,meet(join(X_45,zero),meet(X_45,top)))
| join(zero,meet(join(X_45,zero),meet(X_45,top))) != join(zero,meet(X_45,meet(X_45,top)))
| X_45 = join(zero,meet(X_45,meet(X_45,top))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_45,join(zero,meet(X_45,meet(X_45,top)))) ),[0],$fot(join(zero,meet(join(X_45,zero),meet(X_45,top))))]]) ).
cnf(refute_0_927,plain,
( X_45 != join(zero,meet(join(X_45,zero),meet(X_45,top)))
| X_45 = join(zero,meet(X_45,meet(X_45,top))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(join(X_45,zero),meet(X_45,top))),join(zero,meet(X_45,meet(X_45,top)))) )],[refute_0_925,refute_0_926]) ).
cnf(refute_0_928,plain,
( join(X_45,zero) != join(zero,meet(join(X_45,zero),meet(X_45,top)))
| X_45 = join(zero,meet(X_45,meet(X_45,top))) ),
inference(resolve,[$cnf( $equal(X_45,join(zero,meet(join(X_45,zero),meet(X_45,top)))) )],[refute_0_917,refute_0_927]) ).
cnf(refute_0_929,plain,
X_45 = join(zero,meet(X_45,meet(X_45,top))),
inference(resolve,[$cnf( $equal(join(X_45,zero),join(zero,meet(join(X_45,zero),meet(X_45,top)))) )],[refute_0_912,refute_0_928]) ).
cnf(refute_0_930,plain,
join(zero,meet(X_45,meet(X_45,top))) = meet(X_45,meet(X_45,top)),
inference(subst,[],[refute_0_283:[bind(X1,$fot(meet(X_45,meet(X_45,top))))]]) ).
cnf(refute_0_931,plain,
( X_45 != join(zero,meet(X_45,meet(X_45,top)))
| join(zero,meet(X_45,meet(X_45,top))) != meet(X_45,meet(X_45,top))
| X_45 = meet(X_45,meet(X_45,top)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_45,meet(X_45,meet(X_45,top))) ),[0],$fot(join(zero,meet(X_45,meet(X_45,top))))]]) ).
cnf(refute_0_932,plain,
( X_45 != join(zero,meet(X_45,meet(X_45,top)))
| X_45 = meet(X_45,meet(X_45,top)) ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_45,meet(X_45,top))),meet(X_45,meet(X_45,top))) )],[refute_0_930,refute_0_931]) ).
cnf(refute_0_933,plain,
X_45 = meet(X_45,meet(X_45,top)),
inference(resolve,[$cnf( $equal(X_45,join(zero,meet(X_45,meet(X_45,top)))) )],[refute_0_929,refute_0_932]) ).
cnf(refute_0_934,plain,
X_34 = meet(X_34,meet(X_34,top)),
inference(subst,[],[refute_0_933:[bind(X_45,$fot(X_34))]]) ).
cnf(refute_0_935,plain,
( X_34 != meet(X_34,meet(X_34,top))
| meet(X_34,meet(X_34,top)) = X_34 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(X_34)),bind(Y,$fot(meet(X_34,meet(X_34,top))))]]) ).
cnf(refute_0_936,plain,
meet(X_34,meet(X_34,top)) = X_34,
inference(resolve,[$cnf( $equal(X_34,meet(X_34,meet(X_34,top))) )],[refute_0_934,refute_0_935]) ).
cnf(refute_0_937,plain,
( meet(X_34,meet(X_34,top)) != X_34
| meet(X_34,top) != join(meet(X_34,meet(X_34,top)),complement(join(complement(meet(X_34,top)),X_34)))
| meet(X_34,top) = join(X_34,complement(join(complement(meet(X_34,top)),X_34))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_34,top),join(meet(X_34,meet(X_34,top)),complement(join(complement(meet(X_34,top)),X_34)))) ),[1,0],$fot(X_34)]]) ).
cnf(refute_0_938,plain,
( meet(X_34,top) != join(meet(X_34,meet(X_34,top)),complement(join(complement(meet(X_34,top)),X_34)))
| meet(X_34,top) = join(X_34,complement(join(complement(meet(X_34,top)),X_34))) ),
inference(resolve,[$cnf( $equal(meet(X_34,meet(X_34,top)),X_34) )],[refute_0_936,refute_0_937]) ).
cnf(refute_0_939,plain,
meet(X_34,top) = join(X_34,complement(join(complement(meet(X_34,top)),X_34))),
inference(resolve,[$cnf( $equal(meet(X_34,top),join(meet(X_34,meet(X_34,top)),complement(join(complement(meet(X_34,top)),X_34)))) )],[refute_0_877,refute_0_938]) ).
cnf(refute_0_940,plain,
join(X_34,zero) = X_34,
inference(subst,[],[refute_0_914:[bind(X_117,$fot(X_34))]]) ).
cnf(refute_0_941,plain,
join(X_34,complement(X_34)) = top,
inference(subst,[],[refute_0_95:[bind(X0,$fot(X_34))]]) ).
cnf(refute_0_942,plain,
join(zero,complement(X1)) = complement(X1),
inference(subst,[],[refute_0_283:[bind(X1,$fot(complement(X1)))]]) ).
cnf(refute_0_943,plain,
( join(zero,complement(X1)) != complement(X1)
| join(zero,complement(X1)) != complement(meet(top,X1))
| complement(X1) = complement(meet(top,X1)) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,complement(X1)),complement(meet(top,X1))) ),[0],$fot(complement(X1))]]) ).
cnf(refute_0_944,plain,
( join(zero,complement(X1)) != complement(meet(top,X1))
| complement(X1) = complement(meet(top,X1)) ),
inference(resolve,[$cnf( $equal(join(zero,complement(X1)),complement(X1)) )],[refute_0_942,refute_0_943]) ).
cnf(refute_0_945,plain,
complement(X1) = complement(meet(top,X1)),
inference(resolve,[$cnf( $equal(join(zero,complement(X1)),complement(meet(top,X1))) )],[refute_0_724,refute_0_944]) ).
cnf(refute_0_946,plain,
( complement(X1) != complement(meet(top,X1))
| complement(meet(top,X1)) = complement(X1) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(complement(X1))),bind(Y,$fot(complement(meet(top,X1))))]]) ).
cnf(refute_0_947,plain,
complement(meet(top,X1)) = complement(X1),
inference(resolve,[$cnf( $equal(complement(X1),complement(meet(top,X1))) )],[refute_0_945,refute_0_946]) ).
cnf(refute_0_948,plain,
complement(meet(top,X_92)) = complement(X_92),
inference(subst,[],[refute_0_947:[bind(X1,$fot(X_92))]]) ).
cnf(refute_0_949,plain,
( complement(meet(top,X_92)) != complement(X_92)
| complement(meet(top,X_92)) != complement(meet(X_92,top))
| complement(X_92) = complement(meet(X_92,top)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(top,X_92)),complement(meet(X_92,top))) ),[0],$fot(complement(X_92))]]) ).
cnf(refute_0_950,plain,
( complement(meet(top,X_92)) != complement(meet(X_92,top))
| complement(X_92) = complement(meet(X_92,top)) ),
inference(resolve,[$cnf( $equal(complement(meet(top,X_92)),complement(X_92)) )],[refute_0_948,refute_0_949]) ).
cnf(refute_0_951,plain,
complement(X_92) = complement(meet(X_92,top)),
inference(resolve,[$cnf( $equal(complement(meet(top,X_92)),complement(meet(X_92,top))) )],[refute_0_837,refute_0_950]) ).
cnf(refute_0_952,plain,
( complement(X_92) != complement(meet(X_92,top))
| complement(meet(X_92,top)) = complement(X_92) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(complement(X_92))),bind(Y,$fot(complement(meet(X_92,top))))]]) ).
cnf(refute_0_953,plain,
complement(meet(X_92,top)) = complement(X_92),
inference(resolve,[$cnf( $equal(complement(X_92),complement(meet(X_92,top))) )],[refute_0_951,refute_0_952]) ).
cnf(refute_0_954,plain,
complement(meet(X_34,top)) = complement(X_34),
inference(subst,[],[refute_0_953:[bind(X_92,$fot(X_34))]]) ).
cnf(refute_0_955,plain,
join(X_34,complement(meet(X_34,top))) = join(X_34,complement(meet(X_34,top))),
introduced(tautology,[refl,[$fot(join(X_34,complement(meet(X_34,top))))]]) ).
cnf(refute_0_956,plain,
( complement(meet(X_34,top)) != complement(X_34)
| join(X_34,complement(meet(X_34,top))) != join(X_34,complement(meet(X_34,top)))
| join(X_34,complement(meet(X_34,top))) = join(X_34,complement(X_34)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_34,complement(meet(X_34,top))),join(X_34,complement(meet(X_34,top)))) ),[1,1],$fot(complement(X_34))]]) ).
cnf(refute_0_957,plain,
( complement(meet(X_34,top)) != complement(X_34)
| join(X_34,complement(meet(X_34,top))) = join(X_34,complement(X_34)) ),
inference(resolve,[$cnf( $equal(join(X_34,complement(meet(X_34,top))),join(X_34,complement(meet(X_34,top)))) )],[refute_0_955,refute_0_956]) ).
cnf(refute_0_958,plain,
join(X_34,complement(meet(X_34,top))) = join(X_34,complement(X_34)),
inference(resolve,[$cnf( $equal(complement(meet(X_34,top)),complement(X_34)) )],[refute_0_954,refute_0_957]) ).
cnf(refute_0_959,plain,
( join(X_34,complement(X_34)) != top
| join(X_34,complement(meet(X_34,top))) != join(X_34,complement(X_34))
| join(X_34,complement(meet(X_34,top))) = top ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(X_34,complement(meet(X_34,top))))),bind(Y,$fot(join(X_34,complement(X_34)))),bind(Z,$fot(top))]]) ).
cnf(refute_0_960,plain,
( join(X_34,complement(X_34)) != top
| join(X_34,complement(meet(X_34,top))) = top ),
inference(resolve,[$cnf( $equal(join(X_34,complement(meet(X_34,top))),join(X_34,complement(X_34))) )],[refute_0_958,refute_0_959]) ).
cnf(refute_0_961,plain,
join(X_34,complement(meet(X_34,top))) = top,
inference(resolve,[$cnf( $equal(join(X_34,complement(X_34)),top) )],[refute_0_941,refute_0_960]) ).
cnf(refute_0_962,plain,
join(complement(meet(X_34,top)),X_34) = join(X_34,complement(meet(X_34,top))),
inference(subst,[],[refute_0_6:[bind(X0,$fot(X_34)),bind(X1,$fot(complement(meet(X_34,top))))]]) ).
cnf(refute_0_963,plain,
( join(X_34,complement(meet(X_34,top))) != top
| join(complement(meet(X_34,top)),X_34) != join(X_34,complement(meet(X_34,top)))
| join(complement(meet(X_34,top)),X_34) = top ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(complement(meet(X_34,top)),X_34))),bind(Y,$fot(join(X_34,complement(meet(X_34,top))))),bind(Z,$fot(top))]]) ).
cnf(refute_0_964,plain,
( join(X_34,complement(meet(X_34,top))) != top
| join(complement(meet(X_34,top)),X_34) = top ),
inference(resolve,[$cnf( $equal(join(complement(meet(X_34,top)),X_34),join(X_34,complement(meet(X_34,top)))) )],[refute_0_962,refute_0_963]) ).
cnf(refute_0_965,plain,
join(complement(meet(X_34,top)),X_34) = top,
inference(resolve,[$cnf( $equal(join(X_34,complement(meet(X_34,top))),top) )],[refute_0_961,refute_0_964]) ).
cnf(refute_0_966,plain,
complement(join(complement(meet(X_34,top)),X_34)) = complement(join(complement(meet(X_34,top)),X_34)),
introduced(tautology,[refl,[$fot(complement(join(complement(meet(X_34,top)),X_34)))]]) ).
cnf(refute_0_967,plain,
( complement(join(complement(meet(X_34,top)),X_34)) != complement(join(complement(meet(X_34,top)),X_34))
| join(complement(meet(X_34,top)),X_34) != top
| complement(join(complement(meet(X_34,top)),X_34)) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(meet(X_34,top)),X_34)),complement(join(complement(meet(X_34,top)),X_34))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_968,plain,
( join(complement(meet(X_34,top)),X_34) != top
| complement(join(complement(meet(X_34,top)),X_34)) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(join(complement(meet(X_34,top)),X_34)),complement(join(complement(meet(X_34,top)),X_34))) )],[refute_0_966,refute_0_967]) ).
cnf(refute_0_969,plain,
complement(join(complement(meet(X_34,top)),X_34)) = complement(top),
inference(resolve,[$cnf( $equal(join(complement(meet(X_34,top)),X_34),top) )],[refute_0_965,refute_0_968]) ).
cnf(refute_0_970,plain,
( complement(join(complement(meet(X_34,top)),X_34)) != complement(top)
| complement(top) != zero
| complement(join(complement(meet(X_34,top)),X_34)) = zero ),
inference(subst,[],[refute_0_17:[bind(X,$fot(complement(join(complement(meet(X_34,top)),X_34)))),bind(Y,$fot(complement(top))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_971,plain,
( complement(top) != zero
| complement(join(complement(meet(X_34,top)),X_34)) = zero ),
inference(resolve,[$cnf( $equal(complement(join(complement(meet(X_34,top)),X_34)),complement(top)) )],[refute_0_969,refute_0_970]) ).
cnf(refute_0_972,plain,
complement(join(complement(meet(X_34,top)),X_34)) = zero,
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_113,refute_0_971]) ).
cnf(refute_0_973,plain,
join(X_34,complement(join(complement(meet(X_34,top)),X_34))) = join(X_34,complement(join(complement(meet(X_34,top)),X_34))),
introduced(tautology,[refl,[$fot(join(X_34,complement(join(complement(meet(X_34,top)),X_34))))]]) ).
cnf(refute_0_974,plain,
( complement(join(complement(meet(X_34,top)),X_34)) != zero
| join(X_34,complement(join(complement(meet(X_34,top)),X_34))) != join(X_34,complement(join(complement(meet(X_34,top)),X_34)))
| join(X_34,complement(join(complement(meet(X_34,top)),X_34))) = join(X_34,zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_34,complement(join(complement(meet(X_34,top)),X_34))),join(X_34,complement(join(complement(meet(X_34,top)),X_34)))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_975,plain,
( complement(join(complement(meet(X_34,top)),X_34)) != zero
| join(X_34,complement(join(complement(meet(X_34,top)),X_34))) = join(X_34,zero) ),
inference(resolve,[$cnf( $equal(join(X_34,complement(join(complement(meet(X_34,top)),X_34))),join(X_34,complement(join(complement(meet(X_34,top)),X_34)))) )],[refute_0_973,refute_0_974]) ).
cnf(refute_0_976,plain,
join(X_34,complement(join(complement(meet(X_34,top)),X_34))) = join(X_34,zero),
inference(resolve,[$cnf( $equal(complement(join(complement(meet(X_34,top)),X_34)),zero) )],[refute_0_972,refute_0_975]) ).
cnf(refute_0_977,plain,
( join(X_34,complement(join(complement(meet(X_34,top)),X_34))) != join(X_34,zero)
| join(X_34,zero) != X_34
| join(X_34,complement(join(complement(meet(X_34,top)),X_34))) = X_34 ),
inference(subst,[],[refute_0_17:[bind(X,$fot(join(X_34,complement(join(complement(meet(X_34,top)),X_34))))),bind(Y,$fot(join(X_34,zero))),bind(Z,$fot(X_34))]]) ).
cnf(refute_0_978,plain,
( join(X_34,zero) != X_34
| join(X_34,complement(join(complement(meet(X_34,top)),X_34))) = X_34 ),
inference(resolve,[$cnf( $equal(join(X_34,complement(join(complement(meet(X_34,top)),X_34))),join(X_34,zero)) )],[refute_0_976,refute_0_977]) ).
cnf(refute_0_979,plain,
join(X_34,complement(join(complement(meet(X_34,top)),X_34))) = X_34,
inference(resolve,[$cnf( $equal(join(X_34,zero),X_34) )],[refute_0_940,refute_0_978]) ).
cnf(refute_0_980,plain,
( join(X_34,complement(join(complement(meet(X_34,top)),X_34))) != X_34
| meet(X_34,top) != join(X_34,complement(join(complement(meet(X_34,top)),X_34)))
| meet(X_34,top) = X_34 ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_34,top),join(X_34,complement(join(complement(meet(X_34,top)),X_34)))) ),[1],$fot(X_34)]]) ).
cnf(refute_0_981,plain,
( meet(X_34,top) != join(X_34,complement(join(complement(meet(X_34,top)),X_34)))
| meet(X_34,top) = X_34 ),
inference(resolve,[$cnf( $equal(join(X_34,complement(join(complement(meet(X_34,top)),X_34))),X_34) )],[refute_0_979,refute_0_980]) ).
cnf(refute_0_982,plain,
meet(X_34,top) = X_34,
inference(resolve,[$cnf( $equal(meet(X_34,top),join(X_34,complement(join(complement(meet(X_34,top)),X_34)))) )],[refute_0_939,refute_0_981]) ).
cnf(refute_0_983,plain,
meet(X_93,top) = X_93,
inference(subst,[],[refute_0_982:[bind(X_34,$fot(X_93))]]) ).
cnf(refute_0_984,plain,
( meet(X_93,top) != X_93
| meet(X_93,top) != meet(top,meet(X_93,top))
| X_93 = meet(top,meet(X_93,top)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_93,top),meet(top,meet(X_93,top))) ),[0],$fot(X_93)]]) ).
cnf(refute_0_985,plain,
( meet(X_93,top) != meet(top,meet(X_93,top))
| X_93 = meet(top,meet(X_93,top)) ),
inference(resolve,[$cnf( $equal(meet(X_93,top),X_93) )],[refute_0_983,refute_0_984]) ).
cnf(refute_0_986,plain,
meet(top,meet(X_93,top)) = meet(top,meet(X_93,top)),
introduced(tautology,[refl,[$fot(meet(top,meet(X_93,top)))]]) ).
cnf(refute_0_987,plain,
( meet(X_93,top) != X_93
| meet(top,meet(X_93,top)) != meet(top,meet(X_93,top))
| meet(top,meet(X_93,top)) = meet(top,X_93) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,meet(X_93,top)),meet(top,meet(X_93,top))) ),[1,1],$fot(X_93)]]) ).
cnf(refute_0_988,plain,
( meet(X_93,top) != X_93
| meet(top,meet(X_93,top)) = meet(top,X_93) ),
inference(resolve,[$cnf( $equal(meet(top,meet(X_93,top)),meet(top,meet(X_93,top))) )],[refute_0_986,refute_0_987]) ).
cnf(refute_0_989,plain,
meet(top,meet(X_93,top)) = meet(top,X_93),
inference(resolve,[$cnf( $equal(meet(X_93,top),X_93) )],[refute_0_983,refute_0_988]) ).
cnf(refute_0_990,plain,
( X_93 != meet(top,meet(X_93,top))
| meet(top,meet(X_93,top)) != meet(top,X_93)
| X_93 = meet(top,X_93) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_93,meet(top,X_93)) ),[0],$fot(meet(top,meet(X_93,top)))]]) ).
cnf(refute_0_991,plain,
( X_93 != meet(top,meet(X_93,top))
| X_93 = meet(top,X_93) ),
inference(resolve,[$cnf( $equal(meet(top,meet(X_93,top)),meet(top,X_93)) )],[refute_0_989,refute_0_990]) ).
cnf(refute_0_992,plain,
( meet(X_93,top) != meet(top,meet(X_93,top))
| X_93 = meet(top,X_93) ),
inference(resolve,[$cnf( $equal(X_93,meet(top,meet(X_93,top))) )],[refute_0_985,refute_0_991]) ).
cnf(refute_0_993,plain,
X_93 = meet(top,X_93),
inference(resolve,[$cnf( $equal(meet(X_93,top),meet(top,meet(X_93,top))) )],[refute_0_876,refute_0_992]) ).
cnf(refute_0_994,plain,
X_186 = meet(top,X_186),
inference(subst,[],[refute_0_993:[bind(X_93,$fot(X_186))]]) ).
cnf(refute_0_995,plain,
( X_186 != meet(top,X_186)
| meet(top,X_186) = X_186 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(X_186)),bind(Y,$fot(meet(top,X_186)))]]) ).
cnf(refute_0_996,plain,
meet(top,X_186) = X_186,
inference(resolve,[$cnf( $equal(X_186,meet(top,X_186)) )],[refute_0_994,refute_0_995]) ).
cnf(refute_0_997,plain,
( meet(complement(meet(top,X_186)),X_184) != complement(join(meet(top,X_186),complement(X_184)))
| meet(top,X_186) != X_186
| meet(complement(meet(top,X_186)),X_184) = complement(join(X_186,complement(X_184))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(meet(top,X_186)),X_184),complement(join(meet(top,X_186),complement(X_184)))) ),[1,0,0],$fot(X_186)]]) ).
cnf(refute_0_998,plain,
( meet(complement(meet(top,X_186)),X_184) != complement(join(meet(top,X_186),complement(X_184)))
| meet(complement(meet(top,X_186)),X_184) = complement(join(X_186,complement(X_184))) ),
inference(resolve,[$cnf( $equal(meet(top,X_186),X_186) )],[refute_0_996,refute_0_997]) ).
cnf(refute_0_999,plain,
meet(complement(meet(top,X_186)),X_184) = complement(join(X_186,complement(X_184))),
inference(resolve,[$cnf( $equal(meet(complement(meet(top,X_186)),X_184),complement(join(meet(top,X_186),complement(X_184)))) )],[refute_0_640,refute_0_998]) ).
cnf(refute_0_1000,plain,
complement(meet(top,X_186)) = complement(meet(top,X_186)),
introduced(tautology,[refl,[$fot(complement(meet(top,X_186)))]]) ).
cnf(refute_0_1001,plain,
( complement(meet(top,X_186)) != complement(meet(top,X_186))
| meet(top,X_186) != X_186
| complement(meet(top,X_186)) = complement(X_186) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(top,X_186)),complement(meet(top,X_186))) ),[1,0],$fot(X_186)]]) ).
cnf(refute_0_1002,plain,
( meet(top,X_186) != X_186
| complement(meet(top,X_186)) = complement(X_186) ),
inference(resolve,[$cnf( $equal(complement(meet(top,X_186)),complement(meet(top,X_186))) )],[refute_0_1000,refute_0_1001]) ).
cnf(refute_0_1003,plain,
complement(meet(top,X_186)) = complement(X_186),
inference(resolve,[$cnf( $equal(meet(top,X_186),X_186) )],[refute_0_996,refute_0_1002]) ).
cnf(refute_0_1004,plain,
meet(complement(meet(top,X_186)),X_184) = meet(complement(meet(top,X_186)),X_184),
introduced(tautology,[refl,[$fot(meet(complement(meet(top,X_186)),X_184))]]) ).
cnf(refute_0_1005,plain,
( complement(meet(top,X_186)) != complement(X_186)
| meet(complement(meet(top,X_186)),X_184) != meet(complement(meet(top,X_186)),X_184)
| meet(complement(meet(top,X_186)),X_184) = meet(complement(X_186),X_184) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(meet(top,X_186)),X_184),meet(complement(meet(top,X_186)),X_184)) ),[1,0],$fot(complement(X_186))]]) ).
cnf(refute_0_1006,plain,
( complement(meet(top,X_186)) != complement(X_186)
| meet(complement(meet(top,X_186)),X_184) = meet(complement(X_186),X_184) ),
inference(resolve,[$cnf( $equal(meet(complement(meet(top,X_186)),X_184),meet(complement(meet(top,X_186)),X_184)) )],[refute_0_1004,refute_0_1005]) ).
cnf(refute_0_1007,plain,
meet(complement(meet(top,X_186)),X_184) = meet(complement(X_186),X_184),
inference(resolve,[$cnf( $equal(complement(meet(top,X_186)),complement(X_186)) )],[refute_0_1003,refute_0_1006]) ).
cnf(refute_0_1008,plain,
( meet(complement(meet(top,X_186)),X_184) != complement(join(X_186,complement(X_184)))
| meet(complement(meet(top,X_186)),X_184) != meet(complement(X_186),X_184)
| meet(complement(X_186),X_184) = complement(join(X_186,complement(X_184))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(meet(top,X_186)),X_184),complement(join(X_186,complement(X_184)))) ),[0],$fot(meet(complement(X_186),X_184))]]) ).
cnf(refute_0_1009,plain,
( meet(complement(meet(top,X_186)),X_184) != complement(join(X_186,complement(X_184)))
| meet(complement(X_186),X_184) = complement(join(X_186,complement(X_184))) ),
inference(resolve,[$cnf( $equal(meet(complement(meet(top,X_186)),X_184),meet(complement(X_186),X_184)) )],[refute_0_1007,refute_0_1008]) ).
cnf(refute_0_1010,plain,
meet(complement(X_186),X_184) = complement(join(X_186,complement(X_184))),
inference(resolve,[$cnf( $equal(meet(complement(meet(top,X_186)),X_184),complement(join(X_186,complement(X_184)))) )],[refute_0_999,refute_0_1009]) ).
cnf(refute_0_1011,plain,
meet(complement(X_188),complement(X_70)) = complement(join(X_188,complement(complement(X_70)))),
inference(subst,[],[refute_0_1010:[bind(X_184,$fot(complement(X_70))),bind(X_186,$fot(X_188))]]) ).
cnf(refute_0_1012,plain,
( complement(complement(X_70)) != X_70
| meet(complement(X_188),complement(X_70)) != complement(join(X_188,complement(complement(X_70))))
| meet(complement(X_188),complement(X_70)) = complement(join(X_188,X_70)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(X_188),complement(X_70)),complement(join(X_188,complement(complement(X_70))))) ),[1,0,1],$fot(X_70)]]) ).
cnf(refute_0_1013,plain,
( meet(complement(X_188),complement(X_70)) != complement(join(X_188,complement(complement(X_70))))
| meet(complement(X_188),complement(X_70)) = complement(join(X_188,X_70)) ),
inference(resolve,[$cnf( $equal(complement(complement(X_70)),X_70) )],[refute_0_144,refute_0_1012]) ).
cnf(refute_0_1014,plain,
meet(complement(X_188),complement(X_70)) = complement(join(X_188,X_70)),
inference(resolve,[$cnf( $equal(meet(complement(X_188),complement(X_70)),complement(join(X_188,complement(complement(X_70))))) )],[refute_0_1011,refute_0_1013]) ).
cnf(refute_0_1015,plain,
meet(complement(X_349),complement(meet(X_349,X_350))) = complement(join(X_349,meet(X_349,X_350))),
inference(subst,[],[refute_0_1014:[bind(X_188,$fot(X_349)),bind(X_70,$fot(meet(X_349,X_350)))]]) ).
cnf(refute_0_1016,plain,
( complement(X_349) != meet(complement(X_349),complement(meet(X_349,X_350)))
| meet(complement(X_349),complement(meet(X_349,X_350))) != complement(join(X_349,meet(X_349,X_350)))
| complement(X_349) = complement(join(X_349,meet(X_349,X_350))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(X_349),complement(join(X_349,meet(X_349,X_350)))) ),[0],$fot(meet(complement(X_349),complement(meet(X_349,X_350))))]]) ).
cnf(refute_0_1017,plain,
( complement(X_349) != meet(complement(X_349),complement(meet(X_349,X_350)))
| complement(X_349) = complement(join(X_349,meet(X_349,X_350))) ),
inference(resolve,[$cnf( $equal(meet(complement(X_349),complement(meet(X_349,X_350))),complement(join(X_349,meet(X_349,X_350)))) )],[refute_0_1015,refute_0_1016]) ).
cnf(refute_0_1018,plain,
complement(X_349) = complement(join(X_349,meet(X_349,X_350))),
inference(resolve,[$cnf( $equal(complement(X_349),meet(complement(X_349),complement(meet(X_349,X_350)))) )],[refute_0_631,refute_0_1017]) ).
cnf(refute_0_1019,plain,
complement(X_355) = complement(join(X_355,meet(X_355,X_356))),
inference(subst,[],[refute_0_1018:[bind(X_349,$fot(X_355)),bind(X_350,$fot(X_356))]]) ).
cnf(refute_0_1020,plain,
( complement(X_355) != complement(join(X_355,meet(X_355,X_356)))
| complement(join(X_355,meet(X_355,X_356))) = complement(X_355) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(complement(X_355))),bind(Y,$fot(complement(join(X_355,meet(X_355,X_356)))))]]) ).
cnf(refute_0_1021,plain,
complement(join(X_355,meet(X_355,X_356))) = complement(X_355),
inference(resolve,[$cnf( $equal(complement(X_355),complement(join(X_355,meet(X_355,X_356)))) )],[refute_0_1019,refute_0_1020]) ).
cnf(refute_0_1022,plain,
( complement(complement(join(X_355,meet(X_355,X_356)))) != join(X_355,meet(X_355,X_356))
| complement(join(X_355,meet(X_355,X_356))) != complement(X_355)
| complement(complement(X_355)) = join(X_355,meet(X_355,X_356)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(join(X_355,meet(X_355,X_356)))),join(X_355,meet(X_355,X_356))) ),[0,0],$fot(complement(X_355))]]) ).
cnf(refute_0_1023,plain,
( complement(complement(join(X_355,meet(X_355,X_356)))) != join(X_355,meet(X_355,X_356))
| complement(complement(X_355)) = join(X_355,meet(X_355,X_356)) ),
inference(resolve,[$cnf( $equal(complement(join(X_355,meet(X_355,X_356))),complement(X_355)) )],[refute_0_1021,refute_0_1022]) ).
cnf(refute_0_1024,plain,
complement(complement(X_355)) = join(X_355,meet(X_355,X_356)),
inference(resolve,[$cnf( $equal(complement(complement(join(X_355,meet(X_355,X_356)))),join(X_355,meet(X_355,X_356))) )],[refute_0_145,refute_0_1023]) ).
cnf(refute_0_1025,plain,
complement(complement(X_355)) = X_355,
inference(subst,[],[refute_0_144:[bind(X_70,$fot(X_355))]]) ).
cnf(refute_0_1026,plain,
( complement(complement(X_355)) != X_355
| complement(complement(X_355)) != join(X_355,meet(X_355,X_356))
| X_355 = join(X_355,meet(X_355,X_356)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(X_355)),join(X_355,meet(X_355,X_356))) ),[0],$fot(X_355)]]) ).
cnf(refute_0_1027,plain,
( complement(complement(X_355)) != join(X_355,meet(X_355,X_356))
| X_355 = join(X_355,meet(X_355,X_356)) ),
inference(resolve,[$cnf( $equal(complement(complement(X_355)),X_355) )],[refute_0_1025,refute_0_1026]) ).
cnf(refute_0_1028,plain,
X_355 = join(X_355,meet(X_355,X_356)),
inference(resolve,[$cnf( $equal(complement(complement(X_355)),join(X_355,meet(X_355,X_356))) )],[refute_0_1024,refute_0_1027]) ).
cnf(refute_0_1029,plain,
( X_355 != join(X_355,meet(X_355,X_356))
| join(X_355,meet(X_355,X_356)) = X_355 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(X_355)),bind(Y,$fot(join(X_355,meet(X_355,X_356))))]]) ).
cnf(refute_0_1030,plain,
join(X_355,meet(X_355,X_356)) = X_355,
inference(resolve,[$cnf( $equal(X_355,join(X_355,meet(X_355,X_356))) )],[refute_0_1028,refute_0_1029]) ).
cnf(refute_0_1031,plain,
join(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1))) = skolemFOFtoCNF_X0,
inference(subst,[],[refute_0_1030:[bind(X_355,$fot(skolemFOFtoCNF_X0)),bind(X_356,$fot(converse(skolemFOFtoCNF_X1)))]]) ).
cnf(refute_0_1032,plain,
composition(join(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1))),meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2)) = composition(join(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1))),meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2)),
introduced(tautology,[refl,[$fot(composition(join(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1))),meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2)))]]) ).
cnf(refute_0_1033,plain,
( composition(join(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1))),meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2)) != composition(join(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1))),meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2))
| join(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1))) != skolemFOFtoCNF_X0
| composition(join(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1))),meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2)) = composition(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1))),meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2)),composition(join(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1))),meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2))) ),[1,0],$fot(skolemFOFtoCNF_X0)]]) ).
cnf(refute_0_1034,plain,
( join(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1))) != skolemFOFtoCNF_X0
| composition(join(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1))),meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2)) = composition(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2)) ),
inference(resolve,[$cnf( $equal(composition(join(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1))),meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2)),composition(join(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1))),meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2))) )],[refute_0_1032,refute_0_1033]) ).
cnf(refute_0_1035,plain,
composition(join(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1))),meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2)) = composition(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2)),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1))),skolemFOFtoCNF_X0) )],[refute_0_1031,refute_0_1034]) ).
cnf(refute_0_1036,plain,
( composition(join(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1))),meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2)) != composition(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2))
| composition(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2)) != composition(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2))
| composition(join(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1))),meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2)) = composition(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1))),meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2)),composition(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2))) ),[0],$fot(composition(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2)))]]) ).
cnf(refute_0_1037,plain,
( composition(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2)) != composition(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2))
| composition(join(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1))),meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2)) = composition(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2)) ),
inference(resolve,[$cnf( $equal(composition(join(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1))),meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2)),composition(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2))) )],[refute_0_1035,refute_0_1036]) ).
cnf(refute_0_1038,plain,
composition(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2)) != composition(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2)),
inference(resolve,[$cnf( $equal(composition(join(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X0,converse(skolemFOFtoCNF_X1))),meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2)),composition(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2))) )],[refute_0_1037,refute_0_23]) ).
cnf(refute_0_1039,plain,
composition(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2)) = composition(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2)),
introduced(tautology,[refl,[$fot(composition(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2)))]]) ).
cnf(refute_0_1040,plain,
$false,
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2)),composition(skolemFOFtoCNF_X0,meet(skolemFOFtoCNF_X1,skolemFOFtoCNF_X2))) )],[refute_0_1039,refute_0_1038]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : REL023+2 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n027.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Fri Jul 8 12:03:00 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 2.75/2.93 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.75/2.93
% 2.75/2.93 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.89/3.07
%------------------------------------------------------------------------------