%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : REL050+4 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Mon Jul 18 19:46:29 EDT 2022
% Result : Theorem 6.62s 6.79s
% Output : CNFRefutation 6.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 142
% Number of leaves : 476
% Syntax : Number of formulae : 2042 (1064 unt; 0 def)
% Number of atoms : 3449 (3447 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 2821 (1414 ~;1402 |; 3 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 2543 ( 59 sgn 130 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(maddux1_join_commutativity,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0) ).
fof(maddux2_join_associativity,axiom,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2) ).
fof(maddux3_a_kind_of_de_Morgan,axiom,
! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) ).
fof(maddux4_definiton_of_meet,axiom,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))) ).
fof(composition_associativity,axiom,
! [X0,X1,X2] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2) ).
fof(composition_identity,axiom,
! [X0] : composition(X0,one) = X0 ).
fof(composition_distributivity,axiom,
! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)) ).
fof(converse_idempotence,axiom,
! [X0] : converse(converse(X0)) = X0 ).
fof(converse_additivity,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)) ).
fof(converse_multiplicativity,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)) ).
fof(converse_cancellativity,axiom,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1) ).
fof(def_top,axiom,
! [X0] : top = join(X0,complement(X0)) ).
fof(def_zero,axiom,
! [X0] : zero = meet(X0,complement(X0)) ).
fof(goals,conjecture,
! [X0] :
( join(complement(composition(X0,top)),composition(complement(composition(X0,top)),top)) = composition(complement(composition(X0,top)),top)
& join(composition(complement(composition(X0,top)),top),complement(composition(X0,top))) = complement(composition(X0,top)) ) ).
fof(subgoal_0,plain,
! [X0] : join(complement(composition(X0,top)),composition(complement(composition(X0,top)),top)) = composition(complement(composition(X0,top)),top),
inference(strip,[],[goals]) ).
fof(subgoal_1,plain,
! [X0] :
( join(complement(composition(X0,top)),composition(complement(composition(X0,top)),top)) = composition(complement(composition(X0,top)),top)
=> join(composition(complement(composition(X0,top)),top),complement(composition(X0,top))) = complement(composition(X0,top)) ),
inference(strip,[],[goals]) ).
fof(negate_0_0,plain,
~ ! [X0] : join(complement(composition(X0,top)),composition(complement(composition(X0,top)),top)) = composition(complement(composition(X0,top)),top),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [X0] : join(complement(composition(X0,top)),composition(complement(composition(X0,top)),top)) != composition(complement(composition(X0,top)),top),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
join(complement(composition(skolemFOFtoCNF_X0,top)),composition(complement(composition(skolemFOFtoCNF_X0,top)),top)) != composition(complement(composition(skolemFOFtoCNF_X0,top)),top),
inference(skolemize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(canonicalize,[],[maddux2_join_associativity]) ).
fof(normalize_0_3,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(specialize,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
! [X0] : top = join(X0,complement(X0)),
inference(canonicalize,[],[def_top]) ).
fof(normalize_0_5,plain,
! [X0] : top = join(X0,complement(X0)),
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] : join(X0,X1) = join(X1,X0),
inference(canonicalize,[],[maddux1_join_commutativity]) ).
fof(normalize_0_9,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(specialize,[],[normalize_0_8]) ).
fof(normalize_0_10,plain,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
inference(canonicalize,[],[maddux4_definiton_of_meet]) ).
fof(normalize_0_11,plain,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
inference(specialize,[],[normalize_0_10]) ).
fof(normalize_0_12,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(canonicalize,[],[def_zero]) ).
fof(normalize_0_13,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(specialize,[],[normalize_0_12]) ).
fof(normalize_0_14,plain,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
inference(canonicalize,[],[converse_cancellativity]) ).
fof(normalize_0_15,plain,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
inference(specialize,[],[normalize_0_14]) ).
fof(normalize_0_16,plain,
! [X0,X1,X2] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
inference(canonicalize,[],[composition_associativity]) ).
fof(normalize_0_17,plain,
! [X0,X1,X2] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
inference(specialize,[],[normalize_0_16]) ).
fof(normalize_0_18,plain,
! [X0] : composition(X0,one) = X0,
inference(canonicalize,[],[composition_identity]) ).
fof(normalize_0_19,plain,
! [X0] : composition(X0,one) = X0,
inference(specialize,[],[normalize_0_18]) ).
fof(normalize_0_20,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(canonicalize,[],[converse_multiplicativity]) ).
fof(normalize_0_21,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(specialize,[],[normalize_0_20]) ).
fof(normalize_0_22,plain,
! [X0] : converse(converse(X0)) = X0,
inference(canonicalize,[],[converse_idempotence]) ).
fof(normalize_0_23,plain,
! [X0] : converse(converse(X0)) = X0,
inference(specialize,[],[normalize_0_22]) ).
fof(normalize_0_24,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(canonicalize,[],[converse_additivity]) ).
fof(normalize_0_25,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(specialize,[],[normalize_0_24]) ).
fof(normalize_0_26,plain,
! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(canonicalize,[],[composition_distributivity]) ).
fof(normalize_0_27,plain,
! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(specialize,[],[normalize_0_26]) ).
cnf(refute_0_0,plain,
join(complement(composition(skolemFOFtoCNF_X0,top)),composition(complement(composition(skolemFOFtoCNF_X0,top)),top)) != composition(complement(composition(skolemFOFtoCNF_X0,top)),top),
inference(canonicalize,[],[normalize_0_1]) ).
cnf(refute_0_1,plain,
join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_2,plain,
join(X_93,join(complement(X_93),X_95)) = join(join(X_93,complement(X_93)),X_95),
inference(subst,[],[refute_0_1:[bind(X0,$fot(X_93)),bind(X1,$fot(complement(X_93))),bind(X2,$fot(X_95))]]) ).
cnf(refute_0_3,plain,
top = join(X0,complement(X0)),
inference(canonicalize,[],[normalize_0_5]) ).
cnf(refute_0_4,plain,
top = join(X_93,complement(X_93)),
inference(subst,[],[refute_0_3:[bind(X0,$fot(X_93))]]) ).
cnf(refute_0_5,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_6,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_7,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_5,refute_0_6]) ).
cnf(refute_0_8,plain,
( top != join(X_93,complement(X_93))
| join(X_93,complement(X_93)) = top ),
inference(subst,[],[refute_0_7:[bind(X,$fot(top)),bind(Y,$fot(join(X_93,complement(X_93))))]]) ).
cnf(refute_0_9,plain,
join(X_93,complement(X_93)) = top,
inference(resolve,[$cnf( $equal(top,join(X_93,complement(X_93))) )],[refute_0_4,refute_0_8]) ).
cnf(refute_0_10,plain,
( join(X_93,complement(X_93)) != top
| join(X_93,join(complement(X_93),X_95)) != join(join(X_93,complement(X_93)),X_95)
| join(X_93,join(complement(X_93),X_95)) = join(top,X_95) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_93,join(complement(X_93),X_95)),join(join(X_93,complement(X_93)),X_95)) ),[1,0],$fot(top)]]) ).
cnf(refute_0_11,plain,
( join(X_93,join(complement(X_93),X_95)) != join(join(X_93,complement(X_93)),X_95)
| join(X_93,join(complement(X_93),X_95)) = join(top,X_95) ),
inference(resolve,[$cnf( $equal(join(X_93,complement(X_93)),top) )],[refute_0_9,refute_0_10]) ).
cnf(refute_0_12,plain,
join(X_93,join(complement(X_93),X_95)) = join(top,X_95),
inference(resolve,[$cnf( $equal(join(X_93,join(complement(X_93),X_95)),join(join(X_93,complement(X_93)),X_95)) )],[refute_0_2,refute_0_11]) ).
cnf(refute_0_13,plain,
join(join(X_127,X_127),join(complement(join(X_127,X_127)),X_95)) = join(top,X_95),
inference(subst,[],[refute_0_12:[bind(X_93,$fot(join(X_127,X_127)))]]) ).
cnf(refute_0_14,plain,
X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_15,plain,
join(X0,X1) = join(X1,X0),
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_16,plain,
( join(X0,X1) != join(X1,X0)
| join(X1,X0) = join(X0,X1) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(X0,X1))),bind(Y,$fot(join(X1,X0)))]]) ).
cnf(refute_0_17,plain,
join(X1,X0) = join(X0,X1),
inference(resolve,[$cnf( $equal(join(X0,X1),join(X1,X0)) )],[refute_0_15,refute_0_16]) ).
cnf(refute_0_18,plain,
join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),
inference(subst,[],[refute_0_17:[bind(X0,$fot(complement(join(complement(X0),X1)))),bind(X1,$fot(complement(join(complement(X0),complement(X1)))))]]) ).
cnf(refute_0_19,plain,
( X0 != join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1)))
| join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) != join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1))))
| X0 = join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) ),
introduced(tautology,[equality,[$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_20,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( $equal(join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1))))) )],[refute_0_18,refute_0_19]) ).
cnf(refute_0_21,plain,
X0 = join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),
inference(resolve,[$cnf( $equal(X0,join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1)))) )],[refute_0_14,refute_0_20]) ).
cnf(refute_0_22,plain,
join(complement(join(complement(X0),X1)),meet(X0,X1)) = join(meet(X0,X1),complement(join(complement(X0),X1))),
inference(subst,[],[refute_0_17:[bind(X0,$fot(meet(X0,X1))),bind(X1,$fot(complement(join(complement(X0),X1))))]]) ).
cnf(refute_0_23,plain,
meet(X0,X1) = complement(join(complement(X0),complement(X1))),
inference(canonicalize,[],[normalize_0_11]) ).
cnf(refute_0_24,plain,
( meet(X0,X1) != complement(join(complement(X0),complement(X1)))
| complement(join(complement(X0),complement(X1))) = meet(X0,X1) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(X0,X1))),bind(Y,$fot(complement(join(complement(X0),complement(X1)))))]]) ).
cnf(refute_0_25,plain,
complement(join(complement(X0),complement(X1))) = meet(X0,X1),
inference(resolve,[$cnf( $equal(meet(X0,X1),complement(join(complement(X0),complement(X1)))) )],[refute_0_23,refute_0_24]) ).
cnf(refute_0_26,plain,
join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),
introduced(tautology,[refl,[$fot(join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))))]]) ).
cnf(refute_0_27,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_28,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( $equal(join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1))))) )],[refute_0_26,refute_0_27]) ).
cnf(refute_0_29,plain,
join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = join(complement(join(complement(X0),X1)),meet(X0,X1)),
inference(resolve,[$cnf( $equal(complement(join(complement(X0),complement(X1))),meet(X0,X1)) )],[refute_0_25,refute_0_28]) ).
cnf(refute_0_30,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_31,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_7,refute_0_30]) ).
cnf(refute_0_32,plain,
( join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) != join(complement(join(complement(X0),X1)),meet(X0,X1))
| join(complement(join(complement(X0),X1)),meet(X0,X1)) != join(meet(X0,X1),complement(join(complement(X0),X1)))
| join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = join(meet(X0,X1),complement(join(complement(X0),X1))) ),
inference(subst,[],[refute_0_31:[bind(X,$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_33,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( $equal(join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),join(complement(join(complement(X0),X1)),meet(X0,X1))) )],[refute_0_29,refute_0_32]) ).
cnf(refute_0_34,plain,
join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = join(meet(X0,X1),complement(join(complement(X0),X1))),
inference(resolve,[$cnf( $equal(join(complement(join(complement(X0),X1)),meet(X0,X1)),join(meet(X0,X1),complement(join(complement(X0),X1)))) )],[refute_0_22,refute_0_33]) ).
cnf(refute_0_35,plain,
( X0 != join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1))))
| join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) != join(meet(X0,X1),complement(join(complement(X0),X1)))
| X0 = join(meet(X0,X1),complement(join(complement(X0),X1))) ),
introduced(tautology,[equality,[$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_36,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( $equal(join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),join(meet(X0,X1),complement(join(complement(X0),X1)))) )],[refute_0_34,refute_0_35]) ).
cnf(refute_0_37,plain,
X0 = join(meet(X0,X1),complement(join(complement(X0),X1))),
inference(resolve,[$cnf( $equal(X0,join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1))))) )],[refute_0_21,refute_0_36]) ).
cnf(refute_0_38,plain,
X_6 = join(meet(X_6,X_7),complement(join(complement(X_6),X_7))),
inference(subst,[],[refute_0_37:[bind(X0,$fot(X_6)),bind(X1,$fot(X_7))]]) ).
cnf(refute_0_39,plain,
join(X_7,complement(X_6)) = join(complement(X_6),X_7),
inference(subst,[],[refute_0_15:[bind(X0,$fot(X_7)),bind(X1,$fot(complement(X_6)))]]) ).
cnf(refute_0_40,plain,
( join(X_7,complement(X_6)) != join(complement(X_6),X_7)
| join(complement(X_6),X_7) = join(X_7,complement(X_6)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(X_7,complement(X_6)))),bind(Y,$fot(join(complement(X_6),X_7)))]]) ).
cnf(refute_0_41,plain,
join(complement(X_6),X_7) = join(X_7,complement(X_6)),
inference(resolve,[$cnf( $equal(join(X_7,complement(X_6)),join(complement(X_6),X_7)) )],[refute_0_39,refute_0_40]) ).
cnf(refute_0_42,plain,
( X_6 != join(meet(X_6,X_7),complement(join(complement(X_6),X_7)))
| join(complement(X_6),X_7) != join(X_7,complement(X_6))
| X_6 = join(meet(X_6,X_7),complement(join(X_7,complement(X_6)))) ),
introduced(tautology,[equality,[$cnf( $equal(X_6,join(meet(X_6,X_7),complement(join(complement(X_6),X_7)))) ),[1,1,0],$fot(join(X_7,complement(X_6)))]]) ).
cnf(refute_0_43,plain,
( X_6 != join(meet(X_6,X_7),complement(join(complement(X_6),X_7)))
| X_6 = join(meet(X_6,X_7),complement(join(X_7,complement(X_6)))) ),
inference(resolve,[$cnf( $equal(join(complement(X_6),X_7),join(X_7,complement(X_6))) )],[refute_0_41,refute_0_42]) ).
cnf(refute_0_44,plain,
X_6 = join(meet(X_6,X_7),complement(join(X_7,complement(X_6)))),
inference(resolve,[$cnf( $equal(X_6,join(meet(X_6,X_7),complement(join(complement(X_6),X_7)))) )],[refute_0_38,refute_0_43]) ).
cnf(refute_0_45,plain,
meet(X_16,X_17) = complement(join(complement(X_16),complement(X_17))),
inference(subst,[],[refute_0_23:[bind(X0,$fot(X_16)),bind(X1,$fot(X_17))]]) ).
cnf(refute_0_46,plain,
join(complement(X_17),complement(X_16)) = join(complement(X_16),complement(X_17)),
inference(subst,[],[refute_0_15:[bind(X0,$fot(complement(X_17))),bind(X1,$fot(complement(X_16)))]]) ).
cnf(refute_0_47,plain,
( join(complement(X_17),complement(X_16)) != join(complement(X_16),complement(X_17))
| join(complement(X_16),complement(X_17)) = join(complement(X_17),complement(X_16)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(complement(X_17),complement(X_16)))),bind(Y,$fot(join(complement(X_16),complement(X_17))))]]) ).
cnf(refute_0_48,plain,
join(complement(X_16),complement(X_17)) = join(complement(X_17),complement(X_16)),
inference(resolve,[$cnf( $equal(join(complement(X_17),complement(X_16)),join(complement(X_16),complement(X_17))) )],[refute_0_46,refute_0_47]) ).
cnf(refute_0_49,plain,
( join(complement(X_16),complement(X_17)) != join(complement(X_17),complement(X_16))
| meet(X_16,X_17) != complement(join(complement(X_16),complement(X_17)))
| meet(X_16,X_17) = complement(join(complement(X_17),complement(X_16))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_16,X_17),complement(join(complement(X_16),complement(X_17)))) ),[1,0],$fot(join(complement(X_17),complement(X_16)))]]) ).
cnf(refute_0_50,plain,
( meet(X_16,X_17) != complement(join(complement(X_16),complement(X_17)))
| meet(X_16,X_17) = complement(join(complement(X_17),complement(X_16))) ),
inference(resolve,[$cnf( $equal(join(complement(X_16),complement(X_17)),join(complement(X_17),complement(X_16))) )],[refute_0_48,refute_0_49]) ).
cnf(refute_0_51,plain,
meet(X_16,X_17) = complement(join(complement(X_17),complement(X_16))),
inference(resolve,[$cnf( $equal(meet(X_16,X_17),complement(join(complement(X_16),complement(X_17)))) )],[refute_0_45,refute_0_50]) ).
cnf(refute_0_52,plain,
complement(join(complement(X_17),complement(X_16))) = meet(X_17,X_16),
inference(subst,[],[refute_0_25:[bind(X0,$fot(X_17)),bind(X1,$fot(X_16))]]) ).
cnf(refute_0_53,plain,
( complement(join(complement(X_17),complement(X_16))) != meet(X_17,X_16)
| meet(X_16,X_17) != complement(join(complement(X_17),complement(X_16)))
| meet(X_16,X_17) = meet(X_17,X_16) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_16,X_17),complement(join(complement(X_17),complement(X_16)))) ),[1],$fot(meet(X_17,X_16))]]) ).
cnf(refute_0_54,plain,
( meet(X_16,X_17) != complement(join(complement(X_17),complement(X_16)))
| meet(X_16,X_17) = meet(X_17,X_16) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_17),complement(X_16))),meet(X_17,X_16)) )],[refute_0_52,refute_0_53]) ).
cnf(refute_0_55,plain,
meet(X_16,X_17) = meet(X_17,X_16),
inference(resolve,[$cnf( $equal(meet(X_16,X_17),complement(join(complement(X_17),complement(X_16)))) )],[refute_0_51,refute_0_54]) ).
cnf(refute_0_56,plain,
meet(X_6,X_7) = meet(X_7,X_6),
inference(subst,[],[refute_0_55:[bind(X_16,$fot(X_6)),bind(X_17,$fot(X_7))]]) ).
cnf(refute_0_57,plain,
( X_6 != join(meet(X_6,X_7),complement(join(X_7,complement(X_6))))
| meet(X_6,X_7) != meet(X_7,X_6)
| X_6 = join(meet(X_7,X_6),complement(join(X_7,complement(X_6)))) ),
introduced(tautology,[equality,[$cnf( $equal(X_6,join(meet(X_6,X_7),complement(join(X_7,complement(X_6))))) ),[1,0],$fot(meet(X_7,X_6))]]) ).
cnf(refute_0_58,plain,
( X_6 != join(meet(X_6,X_7),complement(join(X_7,complement(X_6))))
| X_6 = join(meet(X_7,X_6),complement(join(X_7,complement(X_6)))) ),
inference(resolve,[$cnf( $equal(meet(X_6,X_7),meet(X_7,X_6)) )],[refute_0_56,refute_0_57]) ).
cnf(refute_0_59,plain,
X_6 = join(meet(X_7,X_6),complement(join(X_7,complement(X_6)))),
inference(resolve,[$cnf( $equal(X_6,join(meet(X_6,X_7),complement(join(X_7,complement(X_6))))) )],[refute_0_44,refute_0_58]) ).
cnf(refute_0_60,plain,
complement(X_126) = join(meet(X_126,complement(X_126)),complement(join(X_126,complement(complement(X_126))))),
inference(subst,[],[refute_0_59:[bind(X_6,$fot(complement(X_126))),bind(X_7,$fot(X_126))]]) ).
cnf(refute_0_61,plain,
zero = meet(X0,complement(X0)),
inference(canonicalize,[],[normalize_0_13]) ).
cnf(refute_0_62,plain,
zero = meet(X_126,complement(X_126)),
inference(subst,[],[refute_0_61:[bind(X0,$fot(X_126))]]) ).
cnf(refute_0_63,plain,
( zero != meet(X_126,complement(X_126))
| meet(X_126,complement(X_126)) = zero ),
inference(subst,[],[refute_0_7:[bind(X,$fot(zero)),bind(Y,$fot(meet(X_126,complement(X_126))))]]) ).
cnf(refute_0_64,plain,
meet(X_126,complement(X_126)) = zero,
inference(resolve,[$cnf( $equal(zero,meet(X_126,complement(X_126))) )],[refute_0_62,refute_0_63]) ).
cnf(refute_0_65,plain,
( complement(X_126) != join(meet(X_126,complement(X_126)),complement(join(X_126,complement(complement(X_126)))))
| meet(X_126,complement(X_126)) != zero
| complement(X_126) = join(zero,complement(join(X_126,complement(complement(X_126))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(X_126),join(meet(X_126,complement(X_126)),complement(join(X_126,complement(complement(X_126)))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_66,plain,
( complement(X_126) != join(meet(X_126,complement(X_126)),complement(join(X_126,complement(complement(X_126)))))
| complement(X_126) = join(zero,complement(join(X_126,complement(complement(X_126))))) ),
inference(resolve,[$cnf( $equal(meet(X_126,complement(X_126)),zero) )],[refute_0_64,refute_0_65]) ).
cnf(refute_0_67,plain,
complement(X_126) = join(zero,complement(join(X_126,complement(complement(X_126))))),
inference(resolve,[$cnf( $equal(complement(X_126),join(meet(X_126,complement(X_126)),complement(join(X_126,complement(complement(X_126)))))) )],[refute_0_60,refute_0_66]) ).
cnf(refute_0_68,plain,
X_29 = join(meet(X_29,complement(X0)),complement(join(complement(X0),complement(X_29)))),
inference(subst,[],[refute_0_44:[bind(X_6,$fot(X_29)),bind(X_7,$fot(complement(X0)))]]) ).
cnf(refute_0_69,plain,
meet(X0,X_29) = complement(join(complement(X0),complement(X_29))),
inference(subst,[],[refute_0_23:[bind(X1,$fot(X_29))]]) ).
cnf(refute_0_70,plain,
( meet(X0,X_29) != complement(join(complement(X0),complement(X_29)))
| complement(join(complement(X0),complement(X_29))) = meet(X0,X_29) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(X0,X_29))),bind(Y,$fot(complement(join(complement(X0),complement(X_29)))))]]) ).
cnf(refute_0_71,plain,
complement(join(complement(X0),complement(X_29))) = meet(X0,X_29),
inference(resolve,[$cnf( $equal(meet(X0,X_29),complement(join(complement(X0),complement(X_29)))) )],[refute_0_69,refute_0_70]) ).
cnf(refute_0_72,plain,
( X_29 != join(meet(X_29,complement(X0)),complement(join(complement(X0),complement(X_29))))
| complement(join(complement(X0),complement(X_29))) != meet(X0,X_29)
| X_29 = join(meet(X_29,complement(X0)),meet(X0,X_29)) ),
introduced(tautology,[equality,[$cnf( $equal(X_29,join(meet(X_29,complement(X0)),complement(join(complement(X0),complement(X_29))))) ),[1,1],$fot(meet(X0,X_29))]]) ).
cnf(refute_0_73,plain,
( X_29 != join(meet(X_29,complement(X0)),complement(join(complement(X0),complement(X_29))))
| X_29 = join(meet(X_29,complement(X0)),meet(X0,X_29)) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X0),complement(X_29))),meet(X0,X_29)) )],[refute_0_71,refute_0_72]) ).
cnf(refute_0_74,plain,
X_29 = join(meet(X_29,complement(X0)),meet(X0,X_29)),
inference(resolve,[$cnf( $equal(X_29,join(meet(X_29,complement(X0)),complement(join(complement(X0),complement(X_29))))) )],[refute_0_68,refute_0_73]) ).
cnf(refute_0_75,plain,
join(meet(X_29,complement(X0)),meet(X0,X_29)) = join(meet(X0,X_29),meet(X_29,complement(X0))),
inference(subst,[],[refute_0_17:[bind(X0,$fot(meet(X0,X_29))),bind(X1,$fot(meet(X_29,complement(X0))))]]) ).
cnf(refute_0_76,plain,
( X_29 != join(meet(X_29,complement(X0)),meet(X0,X_29))
| join(meet(X_29,complement(X0)),meet(X0,X_29)) != join(meet(X0,X_29),meet(X_29,complement(X0)))
| X_29 = join(meet(X0,X_29),meet(X_29,complement(X0))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_29,join(meet(X0,X_29),meet(X_29,complement(X0)))) ),[0],$fot(join(meet(X_29,complement(X0)),meet(X0,X_29)))]]) ).
cnf(refute_0_77,plain,
( X_29 != join(meet(X_29,complement(X0)),meet(X0,X_29))
| X_29 = join(meet(X0,X_29),meet(X_29,complement(X0))) ),
inference(resolve,[$cnf( $equal(join(meet(X_29,complement(X0)),meet(X0,X_29)),join(meet(X0,X_29),meet(X_29,complement(X0)))) )],[refute_0_75,refute_0_76]) ).
cnf(refute_0_78,plain,
X_29 = join(meet(X0,X_29),meet(X_29,complement(X0))),
inference(resolve,[$cnf( $equal(X_29,join(meet(X_29,complement(X0)),meet(X0,X_29))) )],[refute_0_74,refute_0_77]) ).
cnf(refute_0_79,plain,
X_62 = join(meet(X_61,X_62),meet(X_62,complement(X_61))),
inference(subst,[],[refute_0_78:[bind(X0,$fot(X_61)),bind(X_29,$fot(X_62))]]) ).
cnf(refute_0_80,plain,
meet(complement(X_61),X_62) = meet(X_62,complement(X_61)),
inference(subst,[],[refute_0_55:[bind(X_16,$fot(complement(X_61))),bind(X_17,$fot(X_62))]]) ).
cnf(refute_0_81,plain,
( meet(complement(X_61),X_62) != meet(X_62,complement(X_61))
| meet(X_62,complement(X_61)) = meet(complement(X_61),X_62) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(complement(X_61),X_62))),bind(Y,$fot(meet(X_62,complement(X_61))))]]) ).
cnf(refute_0_82,plain,
meet(X_62,complement(X_61)) = meet(complement(X_61),X_62),
inference(resolve,[$cnf( $equal(meet(complement(X_61),X_62),meet(X_62,complement(X_61))) )],[refute_0_80,refute_0_81]) ).
cnf(refute_0_83,plain,
( X_62 != join(meet(X_61,X_62),meet(X_62,complement(X_61)))
| meet(X_62,complement(X_61)) != meet(complement(X_61),X_62)
| X_62 = join(meet(X_61,X_62),meet(complement(X_61),X_62)) ),
introduced(tautology,[equality,[$cnf( $equal(X_62,join(meet(X_61,X_62),meet(X_62,complement(X_61)))) ),[1,1],$fot(meet(complement(X_61),X_62))]]) ).
cnf(refute_0_84,plain,
( X_62 != join(meet(X_61,X_62),meet(X_62,complement(X_61)))
| X_62 = join(meet(X_61,X_62),meet(complement(X_61),X_62)) ),
inference(resolve,[$cnf( $equal(meet(X_62,complement(X_61)),meet(complement(X_61),X_62)) )],[refute_0_82,refute_0_83]) ).
cnf(refute_0_85,plain,
X_62 = join(meet(X_61,X_62),meet(complement(X_61),X_62)),
inference(resolve,[$cnf( $equal(X_62,join(meet(X_61,X_62),meet(X_62,complement(X_61)))) )],[refute_0_79,refute_0_84]) ).
cnf(refute_0_86,plain,
complement(complement(X_71)) = join(meet(X_71,complement(complement(X_71))),meet(complement(X_71),complement(complement(X_71)))),
inference(subst,[],[refute_0_85:[bind(X_61,$fot(X_71)),bind(X_62,$fot(complement(complement(X_71))))]]) ).
cnf(refute_0_87,plain,
zero = meet(complement(X_71),complement(complement(X_71))),
inference(subst,[],[refute_0_61:[bind(X0,$fot(complement(X_71)))]]) ).
cnf(refute_0_88,plain,
( zero != meet(complement(X_71),complement(complement(X_71)))
| meet(complement(X_71),complement(complement(X_71))) = zero ),
inference(subst,[],[refute_0_7:[bind(X,$fot(zero)),bind(Y,$fot(meet(complement(X_71),complement(complement(X_71)))))]]) ).
cnf(refute_0_89,plain,
meet(complement(X_71),complement(complement(X_71))) = zero,
inference(resolve,[$cnf( $equal(zero,meet(complement(X_71),complement(complement(X_71)))) )],[refute_0_87,refute_0_88]) ).
cnf(refute_0_90,plain,
( complement(complement(X_71)) != join(meet(X_71,complement(complement(X_71))),meet(complement(X_71),complement(complement(X_71))))
| meet(complement(X_71),complement(complement(X_71))) != zero
| complement(complement(X_71)) = join(meet(X_71,complement(complement(X_71))),zero) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(X_71)),join(meet(X_71,complement(complement(X_71))),meet(complement(X_71),complement(complement(X_71))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_91,plain,
( complement(complement(X_71)) != join(meet(X_71,complement(complement(X_71))),meet(complement(X_71),complement(complement(X_71))))
| complement(complement(X_71)) = join(meet(X_71,complement(complement(X_71))),zero) ),
inference(resolve,[$cnf( $equal(meet(complement(X_71),complement(complement(X_71))),zero) )],[refute_0_89,refute_0_90]) ).
cnf(refute_0_92,plain,
complement(complement(X_71)) = join(meet(X_71,complement(complement(X_71))),zero),
inference(resolve,[$cnf( $equal(complement(complement(X_71)),join(meet(X_71,complement(complement(X_71))),meet(complement(X_71),complement(complement(X_71))))) )],[refute_0_86,refute_0_91]) ).
cnf(refute_0_93,plain,
X_6 = join(meet(X_6,complement(complement(X_6))),complement(join(complement(X_6),complement(complement(X_6))))),
inference(subst,[],[refute_0_37:[bind(X0,$fot(X_6)),bind(X1,$fot(complement(complement(X_6))))]]) ).
cnf(refute_0_94,plain,
top = join(complement(X_6),complement(complement(X_6))),
inference(subst,[],[refute_0_3:[bind(X0,$fot(complement(X_6)))]]) ).
cnf(refute_0_95,plain,
( top != join(complement(X_6),complement(complement(X_6)))
| join(complement(X_6),complement(complement(X_6))) = top ),
inference(subst,[],[refute_0_7:[bind(X,$fot(top)),bind(Y,$fot(join(complement(X_6),complement(complement(X_6)))))]]) ).
cnf(refute_0_96,plain,
join(complement(X_6),complement(complement(X_6))) = top,
inference(resolve,[$cnf( $equal(top,join(complement(X_6),complement(complement(X_6)))) )],[refute_0_94,refute_0_95]) ).
cnf(refute_0_97,plain,
( X_6 != join(meet(X_6,complement(complement(X_6))),complement(join(complement(X_6),complement(complement(X_6)))))
| join(complement(X_6),complement(complement(X_6))) != top
| X_6 = join(meet(X_6,complement(complement(X_6))),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(X_6,join(meet(X_6,complement(complement(X_6))),complement(join(complement(X_6),complement(complement(X_6)))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_0_98,plain,
( X_6 != join(meet(X_6,complement(complement(X_6))),complement(join(complement(X_6),complement(complement(X_6)))))
| X_6 = join(meet(X_6,complement(complement(X_6))),complement(top)) ),
inference(resolve,[$cnf( $equal(join(complement(X_6),complement(complement(X_6))),top) )],[refute_0_96,refute_0_97]) ).
cnf(refute_0_99,plain,
X_6 = join(meet(X_6,complement(complement(X_6))),complement(top)),
inference(resolve,[$cnf( $equal(X_6,join(meet(X_6,complement(complement(X_6))),complement(join(complement(X_6),complement(complement(X_6)))))) )],[refute_0_93,refute_0_98]) ).
cnf(refute_0_100,plain,
join(meet(X_6,complement(complement(X_6))),complement(top)) = join(complement(top),meet(X_6,complement(complement(X_6)))),
inference(subst,[],[refute_0_17:[bind(X0,$fot(complement(top))),bind(X1,$fot(meet(X_6,complement(complement(X_6)))))]]) ).
cnf(refute_0_101,plain,
( X_6 != join(meet(X_6,complement(complement(X_6))),complement(top))
| join(meet(X_6,complement(complement(X_6))),complement(top)) != join(complement(top),meet(X_6,complement(complement(X_6))))
| X_6 = join(complement(top),meet(X_6,complement(complement(X_6)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_6,join(complement(top),meet(X_6,complement(complement(X_6))))) ),[0],$fot(join(meet(X_6,complement(complement(X_6))),complement(top)))]]) ).
cnf(refute_0_102,plain,
( X_6 != join(meet(X_6,complement(complement(X_6))),complement(top))
| X_6 = join(complement(top),meet(X_6,complement(complement(X_6)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_6,complement(complement(X_6))),complement(top)),join(complement(top),meet(X_6,complement(complement(X_6))))) )],[refute_0_100,refute_0_101]) ).
cnf(refute_0_103,plain,
X_6 = join(complement(top),meet(X_6,complement(complement(X_6)))),
inference(resolve,[$cnf( $equal(X_6,join(meet(X_6,complement(complement(X_6))),complement(top))) )],[refute_0_99,refute_0_102]) ).
cnf(refute_0_104,plain,
zero = meet(join(complement(X_16),complement(X_17)),complement(join(complement(X_16),complement(X_17)))),
inference(subst,[],[refute_0_61:[bind(X0,$fot(join(complement(X_16),complement(X_17))))]]) ).
cnf(refute_0_105,plain,
( meet(X_16,X_17) != complement(join(complement(X_16),complement(X_17)))
| complement(join(complement(X_16),complement(X_17))) = meet(X_16,X_17) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(X_16,X_17))),bind(Y,$fot(complement(join(complement(X_16),complement(X_17)))))]]) ).
cnf(refute_0_106,plain,
complement(join(complement(X_16),complement(X_17))) = meet(X_16,X_17),
inference(resolve,[$cnf( $equal(meet(X_16,X_17),complement(join(complement(X_16),complement(X_17)))) )],[refute_0_45,refute_0_105]) ).
cnf(refute_0_107,plain,
( complement(join(complement(X_16),complement(X_17))) != meet(X_16,X_17)
| zero != meet(join(complement(X_16),complement(X_17)),complement(join(complement(X_16),complement(X_17))))
| zero = meet(join(complement(X_16),complement(X_17)),meet(X_16,X_17)) ),
introduced(tautology,[equality,[$cnf( $equal(zero,meet(join(complement(X_16),complement(X_17)),complement(join(complement(X_16),complement(X_17))))) ),[1,1],$fot(meet(X_16,X_17))]]) ).
cnf(refute_0_108,plain,
( zero != meet(join(complement(X_16),complement(X_17)),complement(join(complement(X_16),complement(X_17))))
| zero = meet(join(complement(X_16),complement(X_17)),meet(X_16,X_17)) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_16),complement(X_17))),meet(X_16,X_17)) )],[refute_0_106,refute_0_107]) ).
cnf(refute_0_109,plain,
zero = meet(join(complement(X_16),complement(X_17)),meet(X_16,X_17)),
inference(resolve,[$cnf( $equal(zero,meet(join(complement(X_16),complement(X_17)),complement(join(complement(X_16),complement(X_17))))) )],[refute_0_104,refute_0_108]) ).
cnf(refute_0_110,plain,
( top != join(X0,complement(X0))
| join(X0,complement(X0)) = top ),
inference(subst,[],[refute_0_7:[bind(X,$fot(top)),bind(Y,$fot(join(X0,complement(X0))))]]) ).
cnf(refute_0_111,plain,
join(X0,complement(X0)) = top,
inference(resolve,[$cnf( $equal(top,join(X0,complement(X0))) )],[refute_0_3,refute_0_110]) ).
cnf(refute_0_112,plain,
join(meet(X_16,X_17),complement(meet(X_16,X_17))) = top,
inference(subst,[],[refute_0_111:[bind(X0,$fot(meet(X_16,X_17)))]]) ).
cnf(refute_0_113,plain,
complement(join(meet(X_16,X_17),complement(meet(X_16,X_17)))) = complement(join(meet(X_16,X_17),complement(meet(X_16,X_17)))),
introduced(tautology,[refl,[$fot(complement(join(meet(X_16,X_17),complement(meet(X_16,X_17)))))]]) ).
cnf(refute_0_114,plain,
( complement(join(meet(X_16,X_17),complement(meet(X_16,X_17)))) != complement(join(meet(X_16,X_17),complement(meet(X_16,X_17))))
| join(meet(X_16,X_17),complement(meet(X_16,X_17))) != top
| complement(join(meet(X_16,X_17),complement(meet(X_16,X_17)))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(meet(X_16,X_17),complement(meet(X_16,X_17)))),complement(join(meet(X_16,X_17),complement(meet(X_16,X_17))))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_115,plain,
( join(meet(X_16,X_17),complement(meet(X_16,X_17))) != top
| complement(join(meet(X_16,X_17),complement(meet(X_16,X_17)))) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(join(meet(X_16,X_17),complement(meet(X_16,X_17)))),complement(join(meet(X_16,X_17),complement(meet(X_16,X_17))))) )],[refute_0_113,refute_0_114]) ).
cnf(refute_0_116,plain,
complement(join(meet(X_16,X_17),complement(meet(X_16,X_17)))) = complement(top),
inference(resolve,[$cnf( $equal(join(meet(X_16,X_17),complement(meet(X_16,X_17))),top) )],[refute_0_112,refute_0_115]) ).
cnf(refute_0_117,plain,
meet(join(complement(X_16),complement(X_17)),X1) = complement(join(complement(join(complement(X_16),complement(X_17))),complement(X1))),
inference(subst,[],[refute_0_23:[bind(X0,$fot(join(complement(X_16),complement(X_17))))]]) ).
cnf(refute_0_118,plain,
( complement(join(complement(X_16),complement(X_17))) != meet(X_16,X_17)
| meet(join(complement(X_16),complement(X_17)),X1) != complement(join(complement(join(complement(X_16),complement(X_17))),complement(X1)))
| meet(join(complement(X_16),complement(X_17)),X1) = complement(join(meet(X_16,X_17),complement(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(complement(X_16),complement(X_17)),X1),complement(join(complement(join(complement(X_16),complement(X_17))),complement(X1)))) ),[1,0,0],$fot(meet(X_16,X_17))]]) ).
cnf(refute_0_119,plain,
( meet(join(complement(X_16),complement(X_17)),X1) != complement(join(complement(join(complement(X_16),complement(X_17))),complement(X1)))
| meet(join(complement(X_16),complement(X_17)),X1) = complement(join(meet(X_16,X_17),complement(X1))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_16),complement(X_17))),meet(X_16,X_17)) )],[refute_0_106,refute_0_118]) ).
cnf(refute_0_120,plain,
meet(join(complement(X_16),complement(X_17)),X1) = complement(join(meet(X_16,X_17),complement(X1))),
inference(resolve,[$cnf( $equal(meet(join(complement(X_16),complement(X_17)),X1),complement(join(complement(join(complement(X_16),complement(X_17))),complement(X1)))) )],[refute_0_117,refute_0_119]) ).
cnf(refute_0_121,plain,
meet(join(complement(X_16),complement(X_17)),meet(X_16,X_17)) = complement(join(meet(X_16,X_17),complement(meet(X_16,X_17)))),
inference(subst,[],[refute_0_120:[bind(X1,$fot(meet(X_16,X_17)))]]) ).
cnf(refute_0_122,plain,
( complement(join(meet(X_16,X_17),complement(meet(X_16,X_17)))) != complement(top)
| meet(join(complement(X_16),complement(X_17)),meet(X_16,X_17)) != complement(join(meet(X_16,X_17),complement(meet(X_16,X_17))))
| meet(join(complement(X_16),complement(X_17)),meet(X_16,X_17)) = complement(top) ),
inference(subst,[],[refute_0_31:[bind(X,$fot(meet(join(complement(X_16),complement(X_17)),meet(X_16,X_17)))),bind(Y,$fot(complement(join(meet(X_16,X_17),complement(meet(X_16,X_17)))))),bind(Z,$fot(complement(top)))]]) ).
cnf(refute_0_123,plain,
( complement(join(meet(X_16,X_17),complement(meet(X_16,X_17)))) != complement(top)
| meet(join(complement(X_16),complement(X_17)),meet(X_16,X_17)) = complement(top) ),
inference(resolve,[$cnf( $equal(meet(join(complement(X_16),complement(X_17)),meet(X_16,X_17)),complement(join(meet(X_16,X_17),complement(meet(X_16,X_17))))) )],[refute_0_121,refute_0_122]) ).
cnf(refute_0_124,plain,
meet(join(complement(X_16),complement(X_17)),meet(X_16,X_17)) = complement(top),
inference(resolve,[$cnf( $equal(complement(join(meet(X_16,X_17),complement(meet(X_16,X_17)))),complement(top)) )],[refute_0_116,refute_0_123]) ).
cnf(refute_0_125,plain,
( meet(join(complement(X_16),complement(X_17)),meet(X_16,X_17)) != complement(top)
| zero != meet(join(complement(X_16),complement(X_17)),meet(X_16,X_17))
| zero = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(zero,meet(join(complement(X_16),complement(X_17)),meet(X_16,X_17))) ),[1],$fot(complement(top))]]) ).
cnf(refute_0_126,plain,
( zero != meet(join(complement(X_16),complement(X_17)),meet(X_16,X_17))
| zero = complement(top) ),
inference(resolve,[$cnf( $equal(meet(join(complement(X_16),complement(X_17)),meet(X_16,X_17)),complement(top)) )],[refute_0_124,refute_0_125]) ).
cnf(refute_0_127,plain,
zero = complement(top),
inference(resolve,[$cnf( $equal(zero,meet(join(complement(X_16),complement(X_17)),meet(X_16,X_17))) )],[refute_0_109,refute_0_126]) ).
cnf(refute_0_128,plain,
( zero != complement(top)
| complement(top) = zero ),
inference(subst,[],[refute_0_7:[bind(X,$fot(zero)),bind(Y,$fot(complement(top)))]]) ).
cnf(refute_0_129,plain,
complement(top) = zero,
inference(resolve,[$cnf( $equal(zero,complement(top)) )],[refute_0_127,refute_0_128]) ).
cnf(refute_0_130,plain,
join(complement(top),meet(X_6,complement(complement(X_6)))) = join(complement(top),meet(X_6,complement(complement(X_6)))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(X_6,complement(complement(X_6)))))]]) ).
cnf(refute_0_131,plain,
( complement(top) != zero
| join(complement(top),meet(X_6,complement(complement(X_6)))) != join(complement(top),meet(X_6,complement(complement(X_6))))
| join(complement(top),meet(X_6,complement(complement(X_6)))) = join(zero,meet(X_6,complement(complement(X_6)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(X_6,complement(complement(X_6)))),join(complement(top),meet(X_6,complement(complement(X_6))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_132,plain,
( complement(top) != zero
| join(complement(top),meet(X_6,complement(complement(X_6)))) = join(zero,meet(X_6,complement(complement(X_6)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_6,complement(complement(X_6)))),join(complement(top),meet(X_6,complement(complement(X_6))))) )],[refute_0_130,refute_0_131]) ).
cnf(refute_0_133,plain,
join(complement(top),meet(X_6,complement(complement(X_6)))) = join(zero,meet(X_6,complement(complement(X_6)))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_129,refute_0_132]) ).
cnf(refute_0_134,plain,
( X_6 != join(complement(top),meet(X_6,complement(complement(X_6))))
| join(complement(top),meet(X_6,complement(complement(X_6)))) != join(zero,meet(X_6,complement(complement(X_6))))
| X_6 = join(zero,meet(X_6,complement(complement(X_6)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_6,join(zero,meet(X_6,complement(complement(X_6))))) ),[0],$fot(join(complement(top),meet(X_6,complement(complement(X_6)))))]]) ).
cnf(refute_0_135,plain,
( X_6 != join(complement(top),meet(X_6,complement(complement(X_6))))
| X_6 = join(zero,meet(X_6,complement(complement(X_6)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_6,complement(complement(X_6)))),join(zero,meet(X_6,complement(complement(X_6))))) )],[refute_0_133,refute_0_134]) ).
cnf(refute_0_136,plain,
X_6 = join(zero,meet(X_6,complement(complement(X_6)))),
inference(resolve,[$cnf( $equal(X_6,join(complement(top),meet(X_6,complement(complement(X_6))))) )],[refute_0_103,refute_0_135]) ).
cnf(refute_0_137,plain,
( X_6 != join(zero,meet(X_6,complement(complement(X_6))))
| join(zero,meet(X_6,complement(complement(X_6)))) = X_6 ),
inference(subst,[],[refute_0_7:[bind(X,$fot(X_6)),bind(Y,$fot(join(zero,meet(X_6,complement(complement(X_6))))))]]) ).
cnf(refute_0_138,plain,
join(zero,meet(X_6,complement(complement(X_6)))) = X_6,
inference(resolve,[$cnf( $equal(X_6,join(zero,meet(X_6,complement(complement(X_6))))) )],[refute_0_136,refute_0_137]) ).
cnf(refute_0_139,plain,
join(zero,meet(X_71,complement(complement(X_71)))) = X_71,
inference(subst,[],[refute_0_138:[bind(X_6,$fot(X_71))]]) ).
cnf(refute_0_140,plain,
join(meet(X_71,complement(complement(X_71))),zero) = join(zero,meet(X_71,complement(complement(X_71)))),
inference(subst,[],[refute_0_17:[bind(X0,$fot(zero)),bind(X1,$fot(meet(X_71,complement(complement(X_71)))))]]) ).
cnf(refute_0_141,plain,
( join(meet(X_71,complement(complement(X_71))),zero) != join(zero,meet(X_71,complement(complement(X_71))))
| join(zero,meet(X_71,complement(complement(X_71)))) != X_71
| join(meet(X_71,complement(complement(X_71))),zero) = X_71 ),
inference(subst,[],[refute_0_31:[bind(X,$fot(join(meet(X_71,complement(complement(X_71))),zero))),bind(Y,$fot(join(zero,meet(X_71,complement(complement(X_71)))))),bind(Z,$fot(X_71))]]) ).
cnf(refute_0_142,plain,
( join(zero,meet(X_71,complement(complement(X_71)))) != X_71
| join(meet(X_71,complement(complement(X_71))),zero) = X_71 ),
inference(resolve,[$cnf( $equal(join(meet(X_71,complement(complement(X_71))),zero),join(zero,meet(X_71,complement(complement(X_71))))) )],[refute_0_140,refute_0_141]) ).
cnf(refute_0_143,plain,
join(meet(X_71,complement(complement(X_71))),zero) = X_71,
inference(resolve,[$cnf( $equal(join(zero,meet(X_71,complement(complement(X_71)))),X_71) )],[refute_0_139,refute_0_142]) ).
cnf(refute_0_144,plain,
( complement(complement(X_71)) != join(meet(X_71,complement(complement(X_71))),zero)
| join(meet(X_71,complement(complement(X_71))),zero) != X_71
| complement(complement(X_71)) = X_71 ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(complement(X_71)),X_71) ),[0],$fot(join(meet(X_71,complement(complement(X_71))),zero))]]) ).
cnf(refute_0_145,plain,
( complement(complement(X_71)) != join(meet(X_71,complement(complement(X_71))),zero)
| complement(complement(X_71)) = X_71 ),
inference(resolve,[$cnf( $equal(join(meet(X_71,complement(complement(X_71))),zero),X_71) )],[refute_0_143,refute_0_144]) ).
cnf(refute_0_146,plain,
complement(complement(X_71)) = X_71,
inference(resolve,[$cnf( $equal(complement(complement(X_71)),join(meet(X_71,complement(complement(X_71))),zero)) )],[refute_0_92,refute_0_145]) ).
cnf(refute_0_147,plain,
complement(complement(X_126)) = X_126,
inference(subst,[],[refute_0_146:[bind(X_71,$fot(X_126))]]) ).
cnf(refute_0_148,plain,
join(X_126,complement(complement(X_126))) = join(X_126,complement(complement(X_126))),
introduced(tautology,[refl,[$fot(join(X_126,complement(complement(X_126))))]]) ).
cnf(refute_0_149,plain,
( complement(complement(X_126)) != X_126
| join(X_126,complement(complement(X_126))) != join(X_126,complement(complement(X_126)))
| join(X_126,complement(complement(X_126))) = join(X_126,X_126) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_126,complement(complement(X_126))),join(X_126,complement(complement(X_126)))) ),[1,1],$fot(X_126)]]) ).
cnf(refute_0_150,plain,
( complement(complement(X_126)) != X_126
| join(X_126,complement(complement(X_126))) = join(X_126,X_126) ),
inference(resolve,[$cnf( $equal(join(X_126,complement(complement(X_126))),join(X_126,complement(complement(X_126)))) )],[refute_0_148,refute_0_149]) ).
cnf(refute_0_151,plain,
join(X_126,complement(complement(X_126))) = join(X_126,X_126),
inference(resolve,[$cnf( $equal(complement(complement(X_126)),X_126) )],[refute_0_147,refute_0_150]) ).
cnf(refute_0_152,plain,
complement(join(X_126,complement(complement(X_126)))) = complement(join(X_126,complement(complement(X_126)))),
introduced(tautology,[refl,[$fot(complement(join(X_126,complement(complement(X_126)))))]]) ).
cnf(refute_0_153,plain,
( complement(join(X_126,complement(complement(X_126)))) != complement(join(X_126,complement(complement(X_126))))
| join(X_126,complement(complement(X_126))) != join(X_126,X_126)
| complement(join(X_126,complement(complement(X_126)))) = complement(join(X_126,X_126)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(X_126,complement(complement(X_126)))),complement(join(X_126,complement(complement(X_126))))) ),[1,0],$fot(join(X_126,X_126))]]) ).
cnf(refute_0_154,plain,
( join(X_126,complement(complement(X_126))) != join(X_126,X_126)
| complement(join(X_126,complement(complement(X_126)))) = complement(join(X_126,X_126)) ),
inference(resolve,[$cnf( $equal(complement(join(X_126,complement(complement(X_126)))),complement(join(X_126,complement(complement(X_126))))) )],[refute_0_152,refute_0_153]) ).
cnf(refute_0_155,plain,
complement(join(X_126,complement(complement(X_126)))) = complement(join(X_126,X_126)),
inference(resolve,[$cnf( $equal(join(X_126,complement(complement(X_126))),join(X_126,X_126)) )],[refute_0_151,refute_0_154]) ).
cnf(refute_0_156,plain,
complement(complement(X_6)) = X_6,
inference(subst,[],[refute_0_146:[bind(X_71,$fot(X_6))]]) ).
cnf(refute_0_157,plain,
meet(X1,X1) = complement(join(complement(X1),complement(X1))),
inference(subst,[],[refute_0_23:[bind(X0,$fot(X1))]]) ).
cnf(refute_0_158,plain,
join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
inference(canonicalize,[],[normalize_0_15]) ).
cnf(refute_0_159,plain,
join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))),
inference(subst,[],[refute_0_17:[bind(X0,$fot(complement(X1))),bind(X1,$fot(composition(converse(X0),complement(composition(X0,X1)))))]]) ).
cnf(refute_0_160,plain,
( join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) != complement(X1)
| join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) != join(complement(X1),composition(converse(X0),complement(composition(X0,X1))))
| join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))) = complement(X1) ),
introduced(tautology,[equality,[$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_161,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( $equal(join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),join(complement(X1),composition(converse(X0),complement(composition(X0,X1))))) )],[refute_0_159,refute_0_160]) ).
cnf(refute_0_162,plain,
join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))) = complement(X1),
inference(resolve,[$cnf( $equal(join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),complement(X1)) )],[refute_0_158,refute_0_161]) ).
cnf(refute_0_163,plain,
join(complement(X_55),composition(converse(one),complement(composition(one,X_55)))) = complement(X_55),
inference(subst,[],[refute_0_162:[bind(X0,$fot(one)),bind(X1,$fot(X_55))]]) ).
cnf(refute_0_164,plain,
composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
inference(canonicalize,[],[normalize_0_17]) ).
cnf(refute_0_165,plain,
composition(X_11,composition(one,X_13)) = composition(composition(X_11,one),X_13),
inference(subst,[],[refute_0_164:[bind(X0,$fot(X_11)),bind(X1,$fot(one)),bind(X2,$fot(X_13))]]) ).
cnf(refute_0_166,plain,
composition(X0,one) = X0,
inference(canonicalize,[],[normalize_0_19]) ).
cnf(refute_0_167,plain,
composition(X_11,one) = X_11,
inference(subst,[],[refute_0_166:[bind(X0,$fot(X_11))]]) ).
cnf(refute_0_168,plain,
( composition(X_11,composition(one,X_13)) != composition(composition(X_11,one),X_13)
| composition(X_11,one) != X_11
| composition(X_11,composition(one,X_13)) = composition(X_11,X_13) ),
introduced(tautology,[equality,[$cnf( $equal(composition(X_11,composition(one,X_13)),composition(composition(X_11,one),X_13)) ),[1,0],$fot(X_11)]]) ).
cnf(refute_0_169,plain,
( composition(X_11,composition(one,X_13)) != composition(composition(X_11,one),X_13)
| composition(X_11,composition(one,X_13)) = composition(X_11,X_13) ),
inference(resolve,[$cnf( $equal(composition(X_11,one),X_11) )],[refute_0_167,refute_0_168]) ).
cnf(refute_0_170,plain,
composition(X_11,composition(one,X_13)) = composition(X_11,X_13),
inference(resolve,[$cnf( $equal(composition(X_11,composition(one,X_13)),composition(composition(X_11,one),X_13)) )],[refute_0_165,refute_0_169]) ).
cnf(refute_0_171,plain,
composition(converse(one),composition(one,X_13)) = composition(converse(one),X_13),
inference(subst,[],[refute_0_170:[bind(X_11,$fot(converse(one)))]]) ).
cnf(refute_0_172,plain,
converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(canonicalize,[],[normalize_0_21]) ).
cnf(refute_0_173,plain,
converse(composition(converse(X0),X_28)) = composition(converse(X_28),converse(converse(X0))),
inference(subst,[],[refute_0_172:[bind(X0,$fot(converse(X0))),bind(X1,$fot(X_28))]]) ).
cnf(refute_0_174,plain,
converse(converse(X0)) = X0,
inference(canonicalize,[],[normalize_0_23]) ).
cnf(refute_0_175,plain,
( converse(composition(converse(X0),X_28)) != composition(converse(X_28),converse(converse(X0)))
| converse(converse(X0)) != X0
| converse(composition(converse(X0),X_28)) = composition(converse(X_28),X0) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(X0),X_28)),composition(converse(X_28),converse(converse(X0)))) ),[1,1],$fot(X0)]]) ).
cnf(refute_0_176,plain,
( converse(composition(converse(X0),X_28)) != composition(converse(X_28),converse(converse(X0)))
| converse(composition(converse(X0),X_28)) = composition(converse(X_28),X0) ),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_0_174,refute_0_175]) ).
cnf(refute_0_177,plain,
converse(composition(converse(X0),X_28)) = composition(converse(X_28),X0),
inference(resolve,[$cnf( $equal(converse(composition(converse(X0),X_28)),composition(converse(X_28),converse(converse(X0)))) )],[refute_0_173,refute_0_176]) ).
cnf(refute_0_178,plain,
converse(composition(converse(X_31),one)) = composition(converse(one),X_31),
inference(subst,[],[refute_0_177:[bind(X0,$fot(X_31)),bind(X_28,$fot(one))]]) ).
cnf(refute_0_179,plain,
composition(converse(X_31),one) = converse(X_31),
inference(subst,[],[refute_0_166:[bind(X0,$fot(converse(X_31)))]]) ).
cnf(refute_0_180,plain,
( composition(converse(X_31),one) != converse(X_31)
| converse(composition(converse(X_31),one)) != composition(converse(one),X_31)
| converse(converse(X_31)) = composition(converse(one),X_31) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(X_31),one)),composition(converse(one),X_31)) ),[0,0],$fot(converse(X_31))]]) ).
cnf(refute_0_181,plain,
( converse(composition(converse(X_31),one)) != composition(converse(one),X_31)
| converse(converse(X_31)) = composition(converse(one),X_31) ),
inference(resolve,[$cnf( $equal(composition(converse(X_31),one),converse(X_31)) )],[refute_0_179,refute_0_180]) ).
cnf(refute_0_182,plain,
converse(converse(X_31)) = composition(converse(one),X_31),
inference(resolve,[$cnf( $equal(converse(composition(converse(X_31),one)),composition(converse(one),X_31)) )],[refute_0_178,refute_0_181]) ).
cnf(refute_0_183,plain,
converse(converse(X_31)) = X_31,
inference(subst,[],[refute_0_174:[bind(X0,$fot(X_31))]]) ).
cnf(refute_0_184,plain,
( converse(converse(X_31)) != X_31
| converse(converse(X_31)) != composition(converse(one),X_31)
| X_31 = composition(converse(one),X_31) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(X_31)),composition(converse(one),X_31)) ),[0],$fot(X_31)]]) ).
cnf(refute_0_185,plain,
( converse(converse(X_31)) != composition(converse(one),X_31)
| X_31 = composition(converse(one),X_31) ),
inference(resolve,[$cnf( $equal(converse(converse(X_31)),X_31) )],[refute_0_183,refute_0_184]) ).
cnf(refute_0_186,plain,
X_31 = composition(converse(one),X_31),
inference(resolve,[$cnf( $equal(converse(converse(X_31)),composition(converse(one),X_31)) )],[refute_0_182,refute_0_185]) ).
cnf(refute_0_187,plain,
composition(one,X_13) = composition(converse(one),composition(one,X_13)),
inference(subst,[],[refute_0_186:[bind(X_31,$fot(composition(one,X_13)))]]) ).
cnf(refute_0_188,plain,
( composition(one,X_13) != composition(converse(one),composition(one,X_13))
| composition(converse(one),composition(one,X_13)) = composition(one,X_13) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(composition(one,X_13))),bind(Y,$fot(composition(converse(one),composition(one,X_13))))]]) ).
cnf(refute_0_189,plain,
composition(converse(one),composition(one,X_13)) = composition(one,X_13),
inference(resolve,[$cnf( $equal(composition(one,X_13),composition(converse(one),composition(one,X_13))) )],[refute_0_187,refute_0_188]) ).
cnf(refute_0_190,plain,
( composition(converse(one),composition(one,X_13)) != composition(converse(one),X_13)
| composition(converse(one),composition(one,X_13)) != composition(one,X_13)
| composition(one,X_13) = composition(converse(one),X_13) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(one),composition(one,X_13)),composition(converse(one),X_13)) ),[0],$fot(composition(one,X_13))]]) ).
cnf(refute_0_191,plain,
( composition(converse(one),composition(one,X_13)) != composition(converse(one),X_13)
| composition(one,X_13) = composition(converse(one),X_13) ),
inference(resolve,[$cnf( $equal(composition(converse(one),composition(one,X_13)),composition(one,X_13)) )],[refute_0_189,refute_0_190]) ).
cnf(refute_0_192,plain,
composition(one,X_13) = composition(converse(one),X_13),
inference(resolve,[$cnf( $equal(composition(converse(one),composition(one,X_13)),composition(converse(one),X_13)) )],[refute_0_171,refute_0_191]) ).
cnf(refute_0_193,plain,
( X_31 != composition(converse(one),X_31)
| composition(converse(one),X_31) = X_31 ),
inference(subst,[],[refute_0_7:[bind(X,$fot(X_31)),bind(Y,$fot(composition(converse(one),X_31)))]]) ).
cnf(refute_0_194,plain,
composition(converse(one),X_31) = X_31,
inference(resolve,[$cnf( $equal(X_31,composition(converse(one),X_31)) )],[refute_0_186,refute_0_193]) ).
cnf(refute_0_195,plain,
composition(converse(one),X_13) = X_13,
inference(subst,[],[refute_0_194:[bind(X_31,$fot(X_13))]]) ).
cnf(refute_0_196,plain,
( composition(converse(one),X_13) != X_13
| composition(one,X_13) != composition(converse(one),X_13)
| composition(one,X_13) = X_13 ),
introduced(tautology,[equality,[$cnf( $equal(composition(one,X_13),composition(converse(one),X_13)) ),[1],$fot(X_13)]]) ).
cnf(refute_0_197,plain,
( composition(one,X_13) != composition(converse(one),X_13)
| composition(one,X_13) = X_13 ),
inference(resolve,[$cnf( $equal(composition(converse(one),X_13),X_13) )],[refute_0_195,refute_0_196]) ).
cnf(refute_0_198,plain,
composition(one,X_13) = X_13,
inference(resolve,[$cnf( $equal(composition(one,X_13),composition(converse(one),X_13)) )],[refute_0_192,refute_0_197]) ).
cnf(refute_0_199,plain,
composition(one,X_55) = X_55,
inference(subst,[],[refute_0_198:[bind(X_13,$fot(X_55))]]) ).
cnf(refute_0_200,plain,
( composition(one,X_55) != X_55
| join(complement(X_55),composition(converse(one),complement(composition(one,X_55)))) != complement(X_55)
| join(complement(X_55),composition(converse(one),complement(X_55))) = complement(X_55) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_55),composition(converse(one),complement(composition(one,X_55)))),complement(X_55)) ),[0,1,1,0],$fot(X_55)]]) ).
cnf(refute_0_201,plain,
( join(complement(X_55),composition(converse(one),complement(composition(one,X_55)))) != complement(X_55)
| join(complement(X_55),composition(converse(one),complement(X_55))) = complement(X_55) ),
inference(resolve,[$cnf( $equal(composition(one,X_55),X_55) )],[refute_0_199,refute_0_200]) ).
cnf(refute_0_202,plain,
join(complement(X_55),composition(converse(one),complement(X_55))) = complement(X_55),
inference(resolve,[$cnf( $equal(join(complement(X_55),composition(converse(one),complement(composition(one,X_55)))),complement(X_55)) )],[refute_0_163,refute_0_201]) ).
cnf(refute_0_203,plain,
composition(one,complement(X_55)) = complement(X_55),
inference(subst,[],[refute_0_198:[bind(X_13,$fot(complement(X_55)))]]) ).
cnf(refute_0_204,plain,
composition(converse(one),one) = converse(one),
inference(subst,[],[refute_0_166:[bind(X0,$fot(converse(one)))]]) ).
cnf(refute_0_205,plain,
one = composition(converse(one),one),
inference(subst,[],[refute_0_186:[bind(X_31,$fot(one))]]) ).
cnf(refute_0_206,plain,
( one != composition(converse(one),one)
| composition(converse(one),one) = one ),
inference(subst,[],[refute_0_7:[bind(X,$fot(one)),bind(Y,$fot(composition(converse(one),one)))]]) ).
cnf(refute_0_207,plain,
composition(converse(one),one) = one,
inference(resolve,[$cnf( $equal(one,composition(converse(one),one)) )],[refute_0_205,refute_0_206]) ).
cnf(refute_0_208,plain,
( composition(converse(one),one) != converse(one)
| composition(converse(one),one) != one
| one = converse(one) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(one),one),converse(one)) ),[0],$fot(one)]]) ).
cnf(refute_0_209,plain,
( composition(converse(one),one) != converse(one)
| one = converse(one) ),
inference(resolve,[$cnf( $equal(composition(converse(one),one),one) )],[refute_0_207,refute_0_208]) ).
cnf(refute_0_210,plain,
one = converse(one),
inference(resolve,[$cnf( $equal(composition(converse(one),one),converse(one)) )],[refute_0_204,refute_0_209]) ).
cnf(refute_0_211,plain,
( one != converse(one)
| converse(one) = one ),
inference(subst,[],[refute_0_7:[bind(X,$fot(one)),bind(Y,$fot(converse(one)))]]) ).
cnf(refute_0_212,plain,
converse(one) = one,
inference(resolve,[$cnf( $equal(one,converse(one)) )],[refute_0_210,refute_0_211]) ).
cnf(refute_0_213,plain,
composition(converse(one),complement(X_55)) = composition(converse(one),complement(X_55)),
introduced(tautology,[refl,[$fot(composition(converse(one),complement(X_55)))]]) ).
cnf(refute_0_214,plain,
( composition(converse(one),complement(X_55)) != composition(converse(one),complement(X_55))
| converse(one) != one
| composition(converse(one),complement(X_55)) = composition(one,complement(X_55)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(one),complement(X_55)),composition(converse(one),complement(X_55))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_215,plain,
( converse(one) != one
| composition(converse(one),complement(X_55)) = composition(one,complement(X_55)) ),
inference(resolve,[$cnf( $equal(composition(converse(one),complement(X_55)),composition(converse(one),complement(X_55))) )],[refute_0_213,refute_0_214]) ).
cnf(refute_0_216,plain,
composition(converse(one),complement(X_55)) = composition(one,complement(X_55)),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_212,refute_0_215]) ).
cnf(refute_0_217,plain,
( composition(converse(one),complement(X_55)) != composition(one,complement(X_55))
| composition(one,complement(X_55)) != complement(X_55)
| composition(converse(one),complement(X_55)) = complement(X_55) ),
inference(subst,[],[refute_0_31:[bind(X,$fot(composition(converse(one),complement(X_55)))),bind(Y,$fot(composition(one,complement(X_55)))),bind(Z,$fot(complement(X_55)))]]) ).
cnf(refute_0_218,plain,
( composition(one,complement(X_55)) != complement(X_55)
| composition(converse(one),complement(X_55)) = complement(X_55) ),
inference(resolve,[$cnf( $equal(composition(converse(one),complement(X_55)),composition(one,complement(X_55))) )],[refute_0_216,refute_0_217]) ).
cnf(refute_0_219,plain,
composition(converse(one),complement(X_55)) = complement(X_55),
inference(resolve,[$cnf( $equal(composition(one,complement(X_55)),complement(X_55)) )],[refute_0_203,refute_0_218]) ).
cnf(refute_0_220,plain,
join(complement(X_55),composition(converse(one),complement(X_55))) = join(complement(X_55),composition(converse(one),complement(X_55))),
introduced(tautology,[refl,[$fot(join(complement(X_55),composition(converse(one),complement(X_55))))]]) ).
cnf(refute_0_221,plain,
( composition(converse(one),complement(X_55)) != complement(X_55)
| join(complement(X_55),composition(converse(one),complement(X_55))) != join(complement(X_55),composition(converse(one),complement(X_55)))
| join(complement(X_55),composition(converse(one),complement(X_55))) = join(complement(X_55),complement(X_55)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_55),composition(converse(one),complement(X_55))),join(complement(X_55),composition(converse(one),complement(X_55)))) ),[1,1],$fot(complement(X_55))]]) ).
cnf(refute_0_222,plain,
( composition(converse(one),complement(X_55)) != complement(X_55)
| join(complement(X_55),composition(converse(one),complement(X_55))) = join(complement(X_55),complement(X_55)) ),
inference(resolve,[$cnf( $equal(join(complement(X_55),composition(converse(one),complement(X_55))),join(complement(X_55),composition(converse(one),complement(X_55)))) )],[refute_0_220,refute_0_221]) ).
cnf(refute_0_223,plain,
join(complement(X_55),composition(converse(one),complement(X_55))) = join(complement(X_55),complement(X_55)),
inference(resolve,[$cnf( $equal(composition(converse(one),complement(X_55)),complement(X_55)) )],[refute_0_219,refute_0_222]) ).
cnf(refute_0_224,plain,
( join(complement(X_55),composition(converse(one),complement(X_55))) != complement(X_55)
| join(complement(X_55),composition(converse(one),complement(X_55))) != join(complement(X_55),complement(X_55))
| join(complement(X_55),complement(X_55)) = complement(X_55) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_55),composition(converse(one),complement(X_55))),complement(X_55)) ),[0],$fot(join(complement(X_55),complement(X_55)))]]) ).
cnf(refute_0_225,plain,
( join(complement(X_55),composition(converse(one),complement(X_55))) != complement(X_55)
| join(complement(X_55),complement(X_55)) = complement(X_55) ),
inference(resolve,[$cnf( $equal(join(complement(X_55),composition(converse(one),complement(X_55))),join(complement(X_55),complement(X_55))) )],[refute_0_223,refute_0_224]) ).
cnf(refute_0_226,plain,
join(complement(X_55),complement(X_55)) = complement(X_55),
inference(resolve,[$cnf( $equal(join(complement(X_55),composition(converse(one),complement(X_55))),complement(X_55)) )],[refute_0_202,refute_0_225]) ).
cnf(refute_0_227,plain,
join(complement(X1),complement(X1)) = complement(X1),
inference(subst,[],[refute_0_226:[bind(X_55,$fot(X1))]]) ).
cnf(refute_0_228,plain,
( join(complement(X1),complement(X1)) != complement(X1)
| meet(X1,X1) != complement(join(complement(X1),complement(X1)))
| meet(X1,X1) = complement(complement(X1)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X1,X1),complement(join(complement(X1),complement(X1)))) ),[1,0],$fot(complement(X1))]]) ).
cnf(refute_0_229,plain,
( meet(X1,X1) != complement(join(complement(X1),complement(X1)))
| meet(X1,X1) = complement(complement(X1)) ),
inference(resolve,[$cnf( $equal(join(complement(X1),complement(X1)),complement(X1)) )],[refute_0_227,refute_0_228]) ).
cnf(refute_0_230,plain,
meet(X1,X1) = complement(complement(X1)),
inference(resolve,[$cnf( $equal(meet(X1,X1),complement(join(complement(X1),complement(X1)))) )],[refute_0_157,refute_0_229]) ).
cnf(refute_0_231,plain,
meet(X_6,X_6) = complement(complement(X_6)),
inference(subst,[],[refute_0_230:[bind(X1,$fot(X_6))]]) ).
cnf(refute_0_232,plain,
( complement(complement(X_6)) != X_6
| meet(X_6,X_6) != complement(complement(X_6))
| meet(X_6,X_6) = X_6 ),
inference(subst,[],[refute_0_31:[bind(X,$fot(meet(X_6,X_6))),bind(Y,$fot(complement(complement(X_6)))),bind(Z,$fot(X_6))]]) ).
cnf(refute_0_233,plain,
( complement(complement(X_6)) != X_6
| meet(X_6,X_6) = X_6 ),
inference(resolve,[$cnf( $equal(meet(X_6,X_6),complement(complement(X_6))) )],[refute_0_231,refute_0_232]) ).
cnf(refute_0_234,plain,
meet(X_6,X_6) = X_6,
inference(resolve,[$cnf( $equal(complement(complement(X_6)),X_6) )],[refute_0_156,refute_0_233]) ).
cnf(refute_0_235,plain,
meet(X_6,complement(complement(X_6))) = meet(X_6,complement(complement(X_6))),
introduced(tautology,[refl,[$fot(meet(X_6,complement(complement(X_6))))]]) ).
cnf(refute_0_236,plain,
( complement(complement(X_6)) != X_6
| meet(X_6,complement(complement(X_6))) != meet(X_6,complement(complement(X_6)))
| meet(X_6,complement(complement(X_6))) = meet(X_6,X_6) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_6,complement(complement(X_6))),meet(X_6,complement(complement(X_6)))) ),[1,1],$fot(X_6)]]) ).
cnf(refute_0_237,plain,
( complement(complement(X_6)) != X_6
| meet(X_6,complement(complement(X_6))) = meet(X_6,X_6) ),
inference(resolve,[$cnf( $equal(meet(X_6,complement(complement(X_6))),meet(X_6,complement(complement(X_6)))) )],[refute_0_235,refute_0_236]) ).
cnf(refute_0_238,plain,
meet(X_6,complement(complement(X_6))) = meet(X_6,X_6),
inference(resolve,[$cnf( $equal(complement(complement(X_6)),X_6) )],[refute_0_156,refute_0_237]) ).
cnf(refute_0_239,plain,
( meet(X_6,X_6) != X_6
| meet(X_6,complement(complement(X_6))) != meet(X_6,X_6)
| meet(X_6,complement(complement(X_6))) = X_6 ),
inference(subst,[],[refute_0_31:[bind(X,$fot(meet(X_6,complement(complement(X_6))))),bind(Y,$fot(meet(X_6,X_6))),bind(Z,$fot(X_6))]]) ).
cnf(refute_0_240,plain,
( meet(X_6,X_6) != X_6
| meet(X_6,complement(complement(X_6))) = X_6 ),
inference(resolve,[$cnf( $equal(meet(X_6,complement(complement(X_6))),meet(X_6,X_6)) )],[refute_0_238,refute_0_239]) ).
cnf(refute_0_241,plain,
meet(X_6,complement(complement(X_6))) = X_6,
inference(resolve,[$cnf( $equal(meet(X_6,X_6),X_6) )],[refute_0_234,refute_0_240]) ).
cnf(refute_0_242,plain,
join(zero,meet(X_6,complement(complement(X_6)))) = join(zero,meet(X_6,complement(complement(X_6)))),
introduced(tautology,[refl,[$fot(join(zero,meet(X_6,complement(complement(X_6)))))]]) ).
cnf(refute_0_243,plain,
( join(zero,meet(X_6,complement(complement(X_6)))) != join(zero,meet(X_6,complement(complement(X_6))))
| meet(X_6,complement(complement(X_6))) != X_6
| join(zero,meet(X_6,complement(complement(X_6)))) = join(zero,X_6) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(X_6,complement(complement(X_6)))),join(zero,meet(X_6,complement(complement(X_6))))) ),[1,1],$fot(X_6)]]) ).
cnf(refute_0_244,plain,
( meet(X_6,complement(complement(X_6))) != X_6
| join(zero,meet(X_6,complement(complement(X_6)))) = join(zero,X_6) ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_6,complement(complement(X_6)))),join(zero,meet(X_6,complement(complement(X_6))))) )],[refute_0_242,refute_0_243]) ).
cnf(refute_0_245,plain,
join(zero,meet(X_6,complement(complement(X_6)))) = join(zero,X_6),
inference(resolve,[$cnf( $equal(meet(X_6,complement(complement(X_6))),X_6) )],[refute_0_241,refute_0_244]) ).
cnf(refute_0_246,plain,
( X_6 != join(zero,meet(X_6,complement(complement(X_6))))
| join(zero,meet(X_6,complement(complement(X_6)))) != join(zero,X_6)
| X_6 = join(zero,X_6) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_6,join(zero,X_6)) ),[0],$fot(join(zero,meet(X_6,complement(complement(X_6)))))]]) ).
cnf(refute_0_247,plain,
( X_6 != join(zero,meet(X_6,complement(complement(X_6))))
| X_6 = join(zero,X_6) ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_6,complement(complement(X_6)))),join(zero,X_6)) )],[refute_0_245,refute_0_246]) ).
cnf(refute_0_248,plain,
X_6 = join(zero,X_6),
inference(resolve,[$cnf( $equal(X_6,join(zero,meet(X_6,complement(complement(X_6))))) )],[refute_0_136,refute_0_247]) ).
cnf(refute_0_249,plain,
( X_6 != join(zero,X_6)
| join(zero,X_6) = X_6 ),
inference(subst,[],[refute_0_7:[bind(X,$fot(X_6)),bind(Y,$fot(join(zero,X_6)))]]) ).
cnf(refute_0_250,plain,
join(zero,X_6) = X_6,
inference(resolve,[$cnf( $equal(X_6,join(zero,X_6)) )],[refute_0_248,refute_0_249]) ).
cnf(refute_0_251,plain,
join(zero,complement(join(X_126,complement(complement(X_126))))) = complement(join(X_126,complement(complement(X_126)))),
inference(subst,[],[refute_0_250:[bind(X_6,$fot(complement(join(X_126,complement(complement(X_126))))))]]) ).
cnf(refute_0_252,plain,
( complement(join(X_126,complement(complement(X_126)))) != complement(join(X_126,X_126))
| join(zero,complement(join(X_126,complement(complement(X_126))))) != complement(join(X_126,complement(complement(X_126))))
| join(zero,complement(join(X_126,complement(complement(X_126))))) = complement(join(X_126,X_126)) ),
inference(subst,[],[refute_0_31:[bind(X,$fot(join(zero,complement(join(X_126,complement(complement(X_126))))))),bind(Y,$fot(complement(join(X_126,complement(complement(X_126)))))),bind(Z,$fot(complement(join(X_126,X_126))))]]) ).
cnf(refute_0_253,plain,
( complement(join(X_126,complement(complement(X_126)))) != complement(join(X_126,X_126))
| join(zero,complement(join(X_126,complement(complement(X_126))))) = complement(join(X_126,X_126)) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(X_126,complement(complement(X_126))))),complement(join(X_126,complement(complement(X_126))))) )],[refute_0_251,refute_0_252]) ).
cnf(refute_0_254,plain,
join(zero,complement(join(X_126,complement(complement(X_126))))) = complement(join(X_126,X_126)),
inference(resolve,[$cnf( $equal(complement(join(X_126,complement(complement(X_126)))),complement(join(X_126,X_126))) )],[refute_0_155,refute_0_253]) ).
cnf(refute_0_255,plain,
( complement(X_126) != join(zero,complement(join(X_126,complement(complement(X_126)))))
| join(zero,complement(join(X_126,complement(complement(X_126))))) != complement(join(X_126,X_126))
| complement(X_126) = complement(join(X_126,X_126)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(X_126),complement(join(X_126,X_126))) ),[0],$fot(join(zero,complement(join(X_126,complement(complement(X_126))))))]]) ).
cnf(refute_0_256,plain,
( complement(X_126) != join(zero,complement(join(X_126,complement(complement(X_126)))))
| complement(X_126) = complement(join(X_126,X_126)) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(X_126,complement(complement(X_126))))),complement(join(X_126,X_126))) )],[refute_0_254,refute_0_255]) ).
cnf(refute_0_257,plain,
complement(X_126) = complement(join(X_126,X_126)),
inference(resolve,[$cnf( $equal(complement(X_126),join(zero,complement(join(X_126,complement(complement(X_126)))))) )],[refute_0_67,refute_0_256]) ).
cnf(refute_0_258,plain,
complement(X_127) = complement(join(X_127,X_127)),
inference(subst,[],[refute_0_257:[bind(X_126,$fot(X_127))]]) ).
cnf(refute_0_259,plain,
( complement(X_127) != complement(join(X_127,X_127))
| complement(join(X_127,X_127)) = complement(X_127) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(complement(X_127))),bind(Y,$fot(complement(join(X_127,X_127))))]]) ).
cnf(refute_0_260,plain,
complement(join(X_127,X_127)) = complement(X_127),
inference(resolve,[$cnf( $equal(complement(X_127),complement(join(X_127,X_127))) )],[refute_0_258,refute_0_259]) ).
cnf(refute_0_261,plain,
( complement(join(X_127,X_127)) != complement(X_127)
| join(join(X_127,X_127),join(complement(join(X_127,X_127)),X_95)) != join(top,X_95)
| join(join(X_127,X_127),join(complement(X_127),X_95)) = join(top,X_95) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(X_127,X_127),join(complement(join(X_127,X_127)),X_95)),join(top,X_95)) ),[0,1,0],$fot(complement(X_127))]]) ).
cnf(refute_0_262,plain,
( join(join(X_127,X_127),join(complement(join(X_127,X_127)),X_95)) != join(top,X_95)
| join(join(X_127,X_127),join(complement(X_127),X_95)) = join(top,X_95) ),
inference(resolve,[$cnf( $equal(complement(join(X_127,X_127)),complement(X_127)) )],[refute_0_260,refute_0_261]) ).
cnf(refute_0_263,plain,
join(join(X_127,X_127),join(complement(X_127),X_95)) = join(top,X_95),
inference(resolve,[$cnf( $equal(join(join(X_127,X_127),join(complement(join(X_127,X_127)),X_95)),join(top,X_95)) )],[refute_0_13,refute_0_262]) ).
cnf(refute_0_264,plain,
join(X0,join(X1,join(complement(X1),X_103))) = join(join(X0,X1),join(complement(X1),X_103)),
inference(subst,[],[refute_0_1:[bind(X2,$fot(join(complement(X1),X_103)))]]) ).
cnf(refute_0_265,plain,
join(X1,join(complement(X1),X_103)) = join(top,X_103),
inference(subst,[],[refute_0_12:[bind(X_93,$fot(X1)),bind(X_95,$fot(X_103))]]) ).
cnf(refute_0_266,plain,
( join(X0,join(X1,join(complement(X1),X_103))) != join(join(X0,X1),join(complement(X1),X_103))
| join(X1,join(complement(X1),X_103)) != join(top,X_103)
| join(X0,join(top,X_103)) = join(join(X0,X1),join(complement(X1),X_103)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X0,join(X1,join(complement(X1),X_103))),join(join(X0,X1),join(complement(X1),X_103))) ),[0,1],$fot(join(top,X_103))]]) ).
cnf(refute_0_267,plain,
( join(X0,join(X1,join(complement(X1),X_103))) != join(join(X0,X1),join(complement(X1),X_103))
| join(X0,join(top,X_103)) = join(join(X0,X1),join(complement(X1),X_103)) ),
inference(resolve,[$cnf( $equal(join(X1,join(complement(X1),X_103)),join(top,X_103)) )],[refute_0_265,refute_0_266]) ).
cnf(refute_0_268,plain,
join(X0,join(top,X_103)) = join(join(X0,X1),join(complement(X1),X_103)),
inference(resolve,[$cnf( $equal(join(X0,join(X1,join(complement(X1),X_103))),join(join(X0,X1),join(complement(X1),X_103))) )],[refute_0_264,refute_0_267]) ).
cnf(refute_0_269,plain,
( join(X0,join(X1,X2)) != join(join(X0,X1),X2)
| join(join(X0,X1),X2) = join(X0,join(X1,X2)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(X0,join(X1,X2)))),bind(Y,$fot(join(join(X0,X1),X2)))]]) ).
cnf(refute_0_270,plain,
join(join(X0,X1),X2) = join(X0,join(X1,X2)),
inference(resolve,[$cnf( $equal(join(X0,join(X1,X2)),join(join(X0,X1),X2)) )],[refute_0_1,refute_0_269]) ).
cnf(refute_0_271,plain,
join(join(X0,X1),X_103) = join(X0,join(X1,X_103)),
inference(subst,[],[refute_0_270:[bind(X2,$fot(X_103))]]) ).
cnf(refute_0_272,plain,
join(complement(X1),join(join(X0,X1),X_103)) = join(complement(X1),join(join(X0,X1),X_103)),
introduced(tautology,[refl,[$fot(join(complement(X1),join(join(X0,X1),X_103)))]]) ).
cnf(refute_0_273,plain,
( join(complement(X1),join(join(X0,X1),X_103)) != join(complement(X1),join(join(X0,X1),X_103))
| join(join(X0,X1),X_103) != join(X0,join(X1,X_103))
| join(complement(X1),join(join(X0,X1),X_103)) = join(complement(X1),join(X0,join(X1,X_103))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X1),join(join(X0,X1),X_103)),join(complement(X1),join(join(X0,X1),X_103))) ),[1,1],$fot(join(X0,join(X1,X_103)))]]) ).
cnf(refute_0_274,plain,
( join(join(X0,X1),X_103) != join(X0,join(X1,X_103))
| join(complement(X1),join(join(X0,X1),X_103)) = join(complement(X1),join(X0,join(X1,X_103))) ),
inference(resolve,[$cnf( $equal(join(complement(X1),join(join(X0,X1),X_103)),join(complement(X1),join(join(X0,X1),X_103))) )],[refute_0_272,refute_0_273]) ).
cnf(refute_0_275,plain,
join(complement(X1),join(join(X0,X1),X_103)) = join(complement(X1),join(X0,join(X1,X_103))),
inference(resolve,[$cnf( $equal(join(join(X0,X1),X_103),join(X0,join(X1,X_103))) )],[refute_0_271,refute_0_274]) ).
cnf(refute_0_276,plain,
join(X_93,join(X_94,X_95)) = join(join(X_93,X_94),X_95),
inference(subst,[],[refute_0_1:[bind(X0,$fot(X_93)),bind(X1,$fot(X_94)),bind(X2,$fot(X_95))]]) ).
cnf(refute_0_277,plain,
join(X_94,X_93) = join(X_93,X_94),
inference(subst,[],[refute_0_15:[bind(X0,$fot(X_94)),bind(X1,$fot(X_93))]]) ).
cnf(refute_0_278,plain,
( join(X_94,X_93) != join(X_93,X_94)
| join(X_93,X_94) = join(X_94,X_93) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(X_94,X_93))),bind(Y,$fot(join(X_93,X_94)))]]) ).
cnf(refute_0_279,plain,
join(X_93,X_94) = join(X_94,X_93),
inference(resolve,[$cnf( $equal(join(X_94,X_93),join(X_93,X_94)) )],[refute_0_277,refute_0_278]) ).
cnf(refute_0_280,plain,
( join(X_93,X_94) != join(X_94,X_93)
| join(X_93,join(X_94,X_95)) != join(join(X_93,X_94),X_95)
| join(X_93,join(X_94,X_95)) = join(join(X_94,X_93),X_95) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_93,join(X_94,X_95)),join(join(X_93,X_94),X_95)) ),[1,0],$fot(join(X_94,X_93))]]) ).
cnf(refute_0_281,plain,
( join(X_93,join(X_94,X_95)) != join(join(X_93,X_94),X_95)
| join(X_93,join(X_94,X_95)) = join(join(X_94,X_93),X_95) ),
inference(resolve,[$cnf( $equal(join(X_93,X_94),join(X_94,X_93)) )],[refute_0_279,refute_0_280]) ).
cnf(refute_0_282,plain,
join(X_93,join(X_94,X_95)) = join(join(X_94,X_93),X_95),
inference(resolve,[$cnf( $equal(join(X_93,join(X_94,X_95)),join(join(X_93,X_94),X_95)) )],[refute_0_276,refute_0_281]) ).
cnf(refute_0_283,plain,
join(join(X_94,X_93),X_95) = join(X_94,join(X_93,X_95)),
inference(subst,[],[refute_0_270:[bind(X0,$fot(X_94)),bind(X1,$fot(X_93)),bind(X2,$fot(X_95))]]) ).
cnf(refute_0_284,plain,
( join(X_93,join(X_94,X_95)) != join(join(X_94,X_93),X_95)
| join(join(X_94,X_93),X_95) != join(X_94,join(X_93,X_95))
| join(X_93,join(X_94,X_95)) = join(X_94,join(X_93,X_95)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_93,join(X_94,X_95)),join(X_94,join(X_93,X_95))) ),[0],$fot(join(join(X_94,X_93),X_95))]]) ).
cnf(refute_0_285,plain,
( join(X_93,join(X_94,X_95)) != join(join(X_94,X_93),X_95)
| join(X_93,join(X_94,X_95)) = join(X_94,join(X_93,X_95)) ),
inference(resolve,[$cnf( $equal(join(join(X_94,X_93),X_95),join(X_94,join(X_93,X_95))) )],[refute_0_283,refute_0_284]) ).
cnf(refute_0_286,plain,
join(X_93,join(X_94,X_95)) = join(X_94,join(X_93,X_95)),
inference(resolve,[$cnf( $equal(join(X_93,join(X_94,X_95)),join(join(X_94,X_93),X_95)) )],[refute_0_282,refute_0_285]) ).
cnf(refute_0_287,plain,
( join(X_93,join(X_94,X_95)) != join(X_94,join(X_93,X_95))
| join(X_94,join(X_93,X_95)) = join(X_93,join(X_94,X_95)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(X_93,join(X_94,X_95)))),bind(Y,$fot(join(X_94,join(X_93,X_95))))]]) ).
cnf(refute_0_288,plain,
join(X_94,join(X_93,X_95)) = join(X_93,join(X_94,X_95)),
inference(resolve,[$cnf( $equal(join(X_93,join(X_94,X_95)),join(X_94,join(X_93,X_95))) )],[refute_0_286,refute_0_287]) ).
cnf(refute_0_289,plain,
join(join(X0,X1),join(complement(X1),X_103)) = join(complement(X1),join(join(X0,X1),X_103)),
inference(subst,[],[refute_0_288:[bind(X_93,$fot(complement(X1))),bind(X_94,$fot(join(X0,X1))),bind(X_95,$fot(X_103))]]) ).
cnf(refute_0_290,plain,
( join(complement(X1),join(join(X0,X1),X_103)) != join(complement(X1),join(X0,join(X1,X_103)))
| join(join(X0,X1),join(complement(X1),X_103)) != join(complement(X1),join(join(X0,X1),X_103))
| join(join(X0,X1),join(complement(X1),X_103)) = join(complement(X1),join(X0,join(X1,X_103))) ),
inference(subst,[],[refute_0_31:[bind(X,$fot(join(join(X0,X1),join(complement(X1),X_103)))),bind(Y,$fot(join(complement(X1),join(join(X0,X1),X_103)))),bind(Z,$fot(join(complement(X1),join(X0,join(X1,X_103)))))]]) ).
cnf(refute_0_291,plain,
( join(complement(X1),join(join(X0,X1),X_103)) != join(complement(X1),join(X0,join(X1,X_103)))
| join(join(X0,X1),join(complement(X1),X_103)) = join(complement(X1),join(X0,join(X1,X_103))) ),
inference(resolve,[$cnf( $equal(join(join(X0,X1),join(complement(X1),X_103)),join(complement(X1),join(join(X0,X1),X_103))) )],[refute_0_289,refute_0_290]) ).
cnf(refute_0_292,plain,
join(join(X0,X1),join(complement(X1),X_103)) = join(complement(X1),join(X0,join(X1,X_103))),
inference(resolve,[$cnf( $equal(join(complement(X1),join(join(X0,X1),X_103)),join(complement(X1),join(X0,join(X1,X_103)))) )],[refute_0_275,refute_0_291]) ).
cnf(refute_0_293,plain,
( join(X0,join(top,X_103)) != join(join(X0,X1),join(complement(X1),X_103))
| join(join(X0,X1),join(complement(X1),X_103)) != join(complement(X1),join(X0,join(X1,X_103)))
| join(X0,join(top,X_103)) = join(complement(X1),join(X0,join(X1,X_103))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X0,join(top,X_103)),join(complement(X1),join(X0,join(X1,X_103)))) ),[0],$fot(join(join(X0,X1),join(complement(X1),X_103)))]]) ).
cnf(refute_0_294,plain,
( join(X0,join(top,X_103)) != join(join(X0,X1),join(complement(X1),X_103))
| join(X0,join(top,X_103)) = join(complement(X1),join(X0,join(X1,X_103))) ),
inference(resolve,[$cnf( $equal(join(join(X0,X1),join(complement(X1),X_103)),join(complement(X1),join(X0,join(X1,X_103)))) )],[refute_0_292,refute_0_293]) ).
cnf(refute_0_295,plain,
join(X0,join(top,X_103)) = join(complement(X1),join(X0,join(X1,X_103))),
inference(resolve,[$cnf( $equal(join(X0,join(top,X_103)),join(join(X0,X1),join(complement(X1),X_103))) )],[refute_0_268,refute_0_294]) ).
cnf(refute_0_296,plain,
( join(X0,join(top,X_103)) != join(complement(X1),join(X0,join(X1,X_103)))
| join(complement(X1),join(X0,join(X1,X_103))) = join(X0,join(top,X_103)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(X0,join(top,X_103)))),bind(Y,$fot(join(complement(X1),join(X0,join(X1,X_103)))))]]) ).
cnf(refute_0_297,plain,
join(complement(X1),join(X0,join(X1,X_103))) = join(X0,join(top,X_103)),
inference(resolve,[$cnf( $equal(join(X0,join(top,X_103)),join(complement(X1),join(X0,join(X1,X_103)))) )],[refute_0_295,refute_0_296]) ).
cnf(refute_0_298,plain,
join(complement(X_127),join(X_127,join(X_127,X_95))) = join(X_127,join(top,X_95)),
inference(subst,[],[refute_0_297:[bind(X0,$fot(X_127)),bind(X1,$fot(X_127)),bind(X_103,$fot(X_95))]]) ).
cnf(refute_0_299,plain,
join(join(X_127,X_127),X_95) = join(X_127,join(X_127,X_95)),
inference(subst,[],[refute_0_270:[bind(X0,$fot(X_127)),bind(X1,$fot(X_127)),bind(X2,$fot(X_95))]]) ).
cnf(refute_0_300,plain,
join(complement(X_127),join(join(X_127,X_127),X_95)) = join(complement(X_127),join(join(X_127,X_127),X_95)),
introduced(tautology,[refl,[$fot(join(complement(X_127),join(join(X_127,X_127),X_95)))]]) ).
cnf(refute_0_301,plain,
( join(complement(X_127),join(join(X_127,X_127),X_95)) != join(complement(X_127),join(join(X_127,X_127),X_95))
| join(join(X_127,X_127),X_95) != join(X_127,join(X_127,X_95))
| join(complement(X_127),join(join(X_127,X_127),X_95)) = join(complement(X_127),join(X_127,join(X_127,X_95))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_127),join(join(X_127,X_127),X_95)),join(complement(X_127),join(join(X_127,X_127),X_95))) ),[1,1],$fot(join(X_127,join(X_127,X_95)))]]) ).
cnf(refute_0_302,plain,
( join(join(X_127,X_127),X_95) != join(X_127,join(X_127,X_95))
| join(complement(X_127),join(join(X_127,X_127),X_95)) = join(complement(X_127),join(X_127,join(X_127,X_95))) ),
inference(resolve,[$cnf( $equal(join(complement(X_127),join(join(X_127,X_127),X_95)),join(complement(X_127),join(join(X_127,X_127),X_95))) )],[refute_0_300,refute_0_301]) ).
cnf(refute_0_303,plain,
join(complement(X_127),join(join(X_127,X_127),X_95)) = join(complement(X_127),join(X_127,join(X_127,X_95))),
inference(resolve,[$cnf( $equal(join(join(X_127,X_127),X_95),join(X_127,join(X_127,X_95))) )],[refute_0_299,refute_0_302]) ).
cnf(refute_0_304,plain,
( join(complement(X_127),join(X_127,join(X_127,X_95))) != join(X_127,join(top,X_95))
| join(complement(X_127),join(join(X_127,X_127),X_95)) != join(complement(X_127),join(X_127,join(X_127,X_95)))
| join(complement(X_127),join(join(X_127,X_127),X_95)) = join(X_127,join(top,X_95)) ),
inference(subst,[],[refute_0_31:[bind(X,$fot(join(complement(X_127),join(join(X_127,X_127),X_95)))),bind(Y,$fot(join(complement(X_127),join(X_127,join(X_127,X_95))))),bind(Z,$fot(join(X_127,join(top,X_95))))]]) ).
cnf(refute_0_305,plain,
( join(complement(X_127),join(X_127,join(X_127,X_95))) != join(X_127,join(top,X_95))
| join(complement(X_127),join(join(X_127,X_127),X_95)) = join(X_127,join(top,X_95)) ),
inference(resolve,[$cnf( $equal(join(complement(X_127),join(join(X_127,X_127),X_95)),join(complement(X_127),join(X_127,join(X_127,X_95)))) )],[refute_0_303,refute_0_304]) ).
cnf(refute_0_306,plain,
join(complement(X_127),join(join(X_127,X_127),X_95)) = join(X_127,join(top,X_95)),
inference(resolve,[$cnf( $equal(join(complement(X_127),join(X_127,join(X_127,X_95))),join(X_127,join(top,X_95))) )],[refute_0_298,refute_0_305]) ).
cnf(refute_0_307,plain,
join(join(X_127,X_127),join(complement(X_127),X_95)) = join(complement(X_127),join(join(X_127,X_127),X_95)),
inference(subst,[],[refute_0_288:[bind(X_93,$fot(complement(X_127))),bind(X_94,$fot(join(X_127,X_127)))]]) ).
cnf(refute_0_308,plain,
( join(complement(X_127),join(join(X_127,X_127),X_95)) != join(X_127,join(top,X_95))
| join(join(X_127,X_127),join(complement(X_127),X_95)) != join(complement(X_127),join(join(X_127,X_127),X_95))
| join(join(X_127,X_127),join(complement(X_127),X_95)) = join(X_127,join(top,X_95)) ),
inference(subst,[],[refute_0_31:[bind(X,$fot(join(join(X_127,X_127),join(complement(X_127),X_95)))),bind(Y,$fot(join(complement(X_127),join(join(X_127,X_127),X_95)))),bind(Z,$fot(join(X_127,join(top,X_95))))]]) ).
cnf(refute_0_309,plain,
( join(complement(X_127),join(join(X_127,X_127),X_95)) != join(X_127,join(top,X_95))
| join(join(X_127,X_127),join(complement(X_127),X_95)) = join(X_127,join(top,X_95)) ),
inference(resolve,[$cnf( $equal(join(join(X_127,X_127),join(complement(X_127),X_95)),join(complement(X_127),join(join(X_127,X_127),X_95))) )],[refute_0_307,refute_0_308]) ).
cnf(refute_0_310,plain,
join(join(X_127,X_127),join(complement(X_127),X_95)) = join(X_127,join(top,X_95)),
inference(resolve,[$cnf( $equal(join(complement(X_127),join(join(X_127,X_127),X_95)),join(X_127,join(top,X_95))) )],[refute_0_306,refute_0_309]) ).
cnf(refute_0_311,plain,
( join(join(X_127,X_127),join(complement(X_127),X_95)) != join(X_127,join(top,X_95))
| join(join(X_127,X_127),join(complement(X_127),X_95)) != join(top,X_95)
| join(X_127,join(top,X_95)) = join(top,X_95) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(X_127,X_127),join(complement(X_127),X_95)),join(top,X_95)) ),[0],$fot(join(X_127,join(top,X_95)))]]) ).
cnf(refute_0_312,plain,
( join(join(X_127,X_127),join(complement(X_127),X_95)) != join(top,X_95)
| join(X_127,join(top,X_95)) = join(top,X_95) ),
inference(resolve,[$cnf( $equal(join(join(X_127,X_127),join(complement(X_127),X_95)),join(X_127,join(top,X_95))) )],[refute_0_310,refute_0_311]) ).
cnf(refute_0_313,plain,
join(X_127,join(top,X_95)) = join(top,X_95),
inference(resolve,[$cnf( $equal(join(join(X_127,X_127),join(complement(X_127),X_95)),join(top,X_95)) )],[refute_0_263,refute_0_312]) ).
cnf(refute_0_314,plain,
top = join(join(X_127,X_127),complement(join(X_127,X_127))),
inference(subst,[],[refute_0_3:[bind(X0,$fot(join(X_127,X_127)))]]) ).
cnf(refute_0_315,plain,
( complement(join(X_127,X_127)) != complement(X_127)
| top != join(join(X_127,X_127),complement(join(X_127,X_127)))
| top = join(join(X_127,X_127),complement(X_127)) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(join(X_127,X_127),complement(join(X_127,X_127)))) ),[1,1],$fot(complement(X_127))]]) ).
cnf(refute_0_316,plain,
( top != join(join(X_127,X_127),complement(join(X_127,X_127)))
| top = join(join(X_127,X_127),complement(X_127)) ),
inference(resolve,[$cnf( $equal(complement(join(X_127,X_127)),complement(X_127)) )],[refute_0_260,refute_0_315]) ).
cnf(refute_0_317,plain,
top = join(join(X_127,X_127),complement(X_127)),
inference(resolve,[$cnf( $equal(top,join(join(X_127,X_127),complement(join(X_127,X_127)))) )],[refute_0_314,refute_0_316]) ).
cnf(refute_0_318,plain,
join(X_102,join(complement(X_102),X_103)) = join(top,X_103),
inference(subst,[],[refute_0_12:[bind(X_93,$fot(X_102)),bind(X_95,$fot(X_103))]]) ).
cnf(refute_0_319,plain,
join(X_103,complement(X_102)) = join(complement(X_102),X_103),
inference(subst,[],[refute_0_15:[bind(X0,$fot(X_103)),bind(X1,$fot(complement(X_102)))]]) ).
cnf(refute_0_320,plain,
( join(X_103,complement(X_102)) != join(complement(X_102),X_103)
| join(complement(X_102),X_103) = join(X_103,complement(X_102)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(X_103,complement(X_102)))),bind(Y,$fot(join(complement(X_102),X_103)))]]) ).
cnf(refute_0_321,plain,
join(complement(X_102),X_103) = join(X_103,complement(X_102)),
inference(resolve,[$cnf( $equal(join(X_103,complement(X_102)),join(complement(X_102),X_103)) )],[refute_0_319,refute_0_320]) ).
cnf(refute_0_322,plain,
( join(X_102,join(complement(X_102),X_103)) != join(top,X_103)
| join(complement(X_102),X_103) != join(X_103,complement(X_102))
| join(X_102,join(X_103,complement(X_102))) = join(top,X_103) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_102,join(complement(X_102),X_103)),join(top,X_103)) ),[0,1],$fot(join(X_103,complement(X_102)))]]) ).
cnf(refute_0_323,plain,
( join(X_102,join(complement(X_102),X_103)) != join(top,X_103)
| join(X_102,join(X_103,complement(X_102))) = join(top,X_103) ),
inference(resolve,[$cnf( $equal(join(complement(X_102),X_103),join(X_103,complement(X_102))) )],[refute_0_321,refute_0_322]) ).
cnf(refute_0_324,plain,
join(X_102,join(X_103,complement(X_102))) = join(top,X_103),
inference(resolve,[$cnf( $equal(join(X_102,join(complement(X_102),X_103)),join(top,X_103)) )],[refute_0_318,refute_0_323]) ).
cnf(refute_0_325,plain,
join(X_127,join(X_127,complement(X_127))) = join(top,X_127),
inference(subst,[],[refute_0_324:[bind(X_102,$fot(X_127)),bind(X_103,$fot(X_127))]]) ).
cnf(refute_0_326,plain,
join(join(X_127,X_127),complement(X_127)) = join(X_127,join(X_127,complement(X_127))),
inference(subst,[],[refute_0_270:[bind(X0,$fot(X_127)),bind(X1,$fot(X_127)),bind(X2,$fot(complement(X_127)))]]) ).
cnf(refute_0_327,plain,
( join(X_127,join(X_127,complement(X_127))) != join(top,X_127)
| join(join(X_127,X_127),complement(X_127)) != join(X_127,join(X_127,complement(X_127)))
| join(join(X_127,X_127),complement(X_127)) = join(top,X_127) ),
inference(subst,[],[refute_0_31:[bind(X,$fot(join(join(X_127,X_127),complement(X_127)))),bind(Y,$fot(join(X_127,join(X_127,complement(X_127))))),bind(Z,$fot(join(top,X_127)))]]) ).
cnf(refute_0_328,plain,
( join(X_127,join(X_127,complement(X_127))) != join(top,X_127)
| join(join(X_127,X_127),complement(X_127)) = join(top,X_127) ),
inference(resolve,[$cnf( $equal(join(join(X_127,X_127),complement(X_127)),join(X_127,join(X_127,complement(X_127)))) )],[refute_0_326,refute_0_327]) ).
cnf(refute_0_329,plain,
join(join(X_127,X_127),complement(X_127)) = join(top,X_127),
inference(resolve,[$cnf( $equal(join(X_127,join(X_127,complement(X_127))),join(top,X_127)) )],[refute_0_325,refute_0_328]) ).
cnf(refute_0_330,plain,
( join(join(X_127,X_127),complement(X_127)) != join(top,X_127)
| top != join(join(X_127,X_127),complement(X_127))
| top = join(top,X_127) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(join(X_127,X_127),complement(X_127))) ),[1],$fot(join(top,X_127))]]) ).
cnf(refute_0_331,plain,
( top != join(join(X_127,X_127),complement(X_127))
| top = join(top,X_127) ),
inference(resolve,[$cnf( $equal(join(join(X_127,X_127),complement(X_127)),join(top,X_127)) )],[refute_0_329,refute_0_330]) ).
cnf(refute_0_332,plain,
top = join(top,X_127),
inference(resolve,[$cnf( $equal(top,join(join(X_127,X_127),complement(X_127))) )],[refute_0_317,refute_0_331]) ).
cnf(refute_0_333,plain,
( top != join(top,X_127)
| join(top,X_127) = top ),
inference(subst,[],[refute_0_7:[bind(X,$fot(top)),bind(Y,$fot(join(top,X_127)))]]) ).
cnf(refute_0_334,plain,
join(top,X_127) = top,
inference(resolve,[$cnf( $equal(top,join(top,X_127)) )],[refute_0_332,refute_0_333]) ).
cnf(refute_0_335,plain,
join(top,X_95) = top,
inference(subst,[],[refute_0_334:[bind(X_127,$fot(X_95))]]) ).
cnf(refute_0_336,plain,
join(X_127,join(top,X_95)) = join(X_127,join(top,X_95)),
introduced(tautology,[refl,[$fot(join(X_127,join(top,X_95)))]]) ).
cnf(refute_0_337,plain,
( join(X_127,join(top,X_95)) != join(X_127,join(top,X_95))
| join(top,X_95) != top
| join(X_127,join(top,X_95)) = join(X_127,top) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_127,join(top,X_95)),join(X_127,join(top,X_95))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_338,plain,
( join(top,X_95) != top
| join(X_127,join(top,X_95)) = join(X_127,top) ),
inference(resolve,[$cnf( $equal(join(X_127,join(top,X_95)),join(X_127,join(top,X_95))) )],[refute_0_336,refute_0_337]) ).
cnf(refute_0_339,plain,
join(X_127,join(top,X_95)) = join(X_127,top),
inference(resolve,[$cnf( $equal(join(top,X_95),top) )],[refute_0_335,refute_0_338]) ).
cnf(refute_0_340,plain,
( join(X_127,join(top,X_95)) != join(X_127,top)
| join(X_127,join(top,X_95)) != join(top,X_95)
| join(X_127,top) = join(top,X_95) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_127,join(top,X_95)),join(top,X_95)) ),[0],$fot(join(X_127,top))]]) ).
cnf(refute_0_341,plain,
( join(X_127,join(top,X_95)) != join(top,X_95)
| join(X_127,top) = join(top,X_95) ),
inference(resolve,[$cnf( $equal(join(X_127,join(top,X_95)),join(X_127,top)) )],[refute_0_339,refute_0_340]) ).
cnf(refute_0_342,plain,
( join(X_127,top) != join(top,X_95)
| join(top,X_95) != top
| join(X_127,top) = top ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_127,top),top) ),[0],$fot(join(top,X_95))]]) ).
cnf(refute_0_343,plain,
( join(X_127,top) != join(top,X_95)
| join(X_127,top) = top ),
inference(resolve,[$cnf( $equal(join(top,X_95),top) )],[refute_0_335,refute_0_342]) ).
cnf(refute_0_344,plain,
( join(X_127,join(top,X_95)) != join(top,X_95)
| join(X_127,top) = top ),
inference(resolve,[$cnf( $equal(join(X_127,top),join(top,X_95)) )],[refute_0_341,refute_0_343]) ).
cnf(refute_0_345,plain,
join(X_127,top) = top,
inference(resolve,[$cnf( $equal(join(X_127,join(top,X_95)),join(top,X_95)) )],[refute_0_313,refute_0_344]) ).
cnf(refute_0_346,plain,
join(one,top) = top,
inference(subst,[],[refute_0_345:[bind(X_127,$fot(one))]]) ).
cnf(refute_0_347,plain,
composition(complement(composition(skolemFOFtoCNF_X0,top)),join(one,top)) = composition(complement(composition(skolemFOFtoCNF_X0,top)),join(one,top)),
introduced(tautology,[refl,[$fot(composition(complement(composition(skolemFOFtoCNF_X0,top)),join(one,top)))]]) ).
cnf(refute_0_348,plain,
( composition(complement(composition(skolemFOFtoCNF_X0,top)),join(one,top)) != composition(complement(composition(skolemFOFtoCNF_X0,top)),join(one,top))
| join(one,top) != top
| composition(complement(composition(skolemFOFtoCNF_X0,top)),join(one,top)) = composition(complement(composition(skolemFOFtoCNF_X0,top)),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(composition(skolemFOFtoCNF_X0,top)),join(one,top)),composition(complement(composition(skolemFOFtoCNF_X0,top)),join(one,top))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_349,plain,
( join(one,top) != top
| composition(complement(composition(skolemFOFtoCNF_X0,top)),join(one,top)) = composition(complement(composition(skolemFOFtoCNF_X0,top)),top) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(skolemFOFtoCNF_X0,top)),join(one,top)),composition(complement(composition(skolemFOFtoCNF_X0,top)),join(one,top))) )],[refute_0_347,refute_0_348]) ).
cnf(refute_0_350,plain,
composition(complement(composition(skolemFOFtoCNF_X0,top)),join(one,top)) = composition(complement(composition(skolemFOFtoCNF_X0,top)),top),
inference(resolve,[$cnf( $equal(join(one,top),top) )],[refute_0_346,refute_0_349]) ).
cnf(refute_0_351,plain,
converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(canonicalize,[],[normalize_0_25]) ).
cnf(refute_0_352,plain,
converse(join(converse(X0),X_21)) = join(converse(converse(X0)),converse(X_21)),
inference(subst,[],[refute_0_351:[bind(X0,$fot(converse(X0))),bind(X1,$fot(X_21))]]) ).
cnf(refute_0_353,plain,
( converse(converse(X0)) != X0
| converse(join(converse(X0),X_21)) != join(converse(converse(X0)),converse(X_21))
| converse(join(converse(X0),X_21)) = join(X0,converse(X_21)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X0),X_21)),join(converse(converse(X0)),converse(X_21))) ),[1,0],$fot(X0)]]) ).
cnf(refute_0_354,plain,
( converse(join(converse(X0),X_21)) != join(converse(converse(X0)),converse(X_21))
| converse(join(converse(X0),X_21)) = join(X0,converse(X_21)) ),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_0_174,refute_0_353]) ).
cnf(refute_0_355,plain,
converse(join(converse(X0),X_21)) = join(X0,converse(X_21)),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),X_21)),join(converse(converse(X0)),converse(X_21))) )],[refute_0_352,refute_0_354]) ).
cnf(refute_0_356,plain,
converse(join(converse(X0),composition(X_117,converse(X0)))) = join(X0,converse(composition(X_117,converse(X0)))),
inference(subst,[],[refute_0_355:[bind(X_21,$fot(composition(X_117,converse(X0))))]]) ).
cnf(refute_0_357,plain,
composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(canonicalize,[],[normalize_0_27]) ).
cnf(refute_0_358,plain,
composition(join(X_109,one),X_111) = join(composition(X_109,X_111),composition(one,X_111)),
inference(subst,[],[refute_0_357:[bind(X0,$fot(X_109)),bind(X1,$fot(one)),bind(X2,$fot(X_111))]]) ).
cnf(refute_0_359,plain,
composition(one,X_111) = X_111,
inference(subst,[],[refute_0_198:[bind(X_13,$fot(X_111))]]) ).
cnf(refute_0_360,plain,
( composition(join(X_109,one),X_111) != join(composition(X_109,X_111),composition(one,X_111))
| composition(one,X_111) != X_111
| composition(join(X_109,one),X_111) = join(composition(X_109,X_111),X_111) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X_109,one),X_111),join(composition(X_109,X_111),composition(one,X_111))) ),[1,1],$fot(X_111)]]) ).
cnf(refute_0_361,plain,
( composition(join(X_109,one),X_111) != join(composition(X_109,X_111),composition(one,X_111))
| composition(join(X_109,one),X_111) = join(composition(X_109,X_111),X_111) ),
inference(resolve,[$cnf( $equal(composition(one,X_111),X_111) )],[refute_0_359,refute_0_360]) ).
cnf(refute_0_362,plain,
composition(join(X_109,one),X_111) = join(composition(X_109,X_111),X_111),
inference(resolve,[$cnf( $equal(composition(join(X_109,one),X_111),join(composition(X_109,X_111),composition(one,X_111))) )],[refute_0_358,refute_0_361]) ).
cnf(refute_0_363,plain,
join(composition(X_109,X_111),X_111) = join(X_111,composition(X_109,X_111)),
inference(subst,[],[refute_0_17:[bind(X0,$fot(X_111)),bind(X1,$fot(composition(X_109,X_111)))]]) ).
cnf(refute_0_364,plain,
( composition(join(X_109,one),X_111) != join(composition(X_109,X_111),X_111)
| join(composition(X_109,X_111),X_111) != join(X_111,composition(X_109,X_111))
| composition(join(X_109,one),X_111) = join(X_111,composition(X_109,X_111)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(X_109,one),X_111),join(X_111,composition(X_109,X_111))) ),[0],$fot(join(composition(X_109,X_111),X_111))]]) ).
cnf(refute_0_365,plain,
( composition(join(X_109,one),X_111) != join(composition(X_109,X_111),X_111)
| composition(join(X_109,one),X_111) = join(X_111,composition(X_109,X_111)) ),
inference(resolve,[$cnf( $equal(join(composition(X_109,X_111),X_111),join(X_111,composition(X_109,X_111))) )],[refute_0_363,refute_0_364]) ).
cnf(refute_0_366,plain,
composition(join(X_109,one),X_111) = join(X_111,composition(X_109,X_111)),
inference(resolve,[$cnf( $equal(composition(join(X_109,one),X_111),join(composition(X_109,X_111),X_111)) )],[refute_0_362,refute_0_365]) ).
cnf(refute_0_367,plain,
composition(join(X_117,one),converse(X0)) = join(converse(X0),composition(X_117,converse(X0))),
inference(subst,[],[refute_0_366:[bind(X_109,$fot(X_117)),bind(X_111,$fot(converse(X0)))]]) ).
cnf(refute_0_368,plain,
( composition(join(X_117,one),converse(X0)) != join(converse(X0),composition(X_117,converse(X0)))
| join(converse(X0),composition(X_117,converse(X0))) = composition(join(X_117,one),converse(X0)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(composition(join(X_117,one),converse(X0)))),bind(Y,$fot(join(converse(X0),composition(X_117,converse(X0)))))]]) ).
cnf(refute_0_369,plain,
join(converse(X0),composition(X_117,converse(X0))) = composition(join(X_117,one),converse(X0)),
inference(resolve,[$cnf( $equal(composition(join(X_117,one),converse(X0)),join(converse(X0),composition(X_117,converse(X0)))) )],[refute_0_367,refute_0_368]) ).
cnf(refute_0_370,plain,
( converse(join(converse(X0),composition(X_117,converse(X0)))) != join(X0,converse(composition(X_117,converse(X0))))
| join(converse(X0),composition(X_117,converse(X0))) != composition(join(X_117,one),converse(X0))
| converse(composition(join(X_117,one),converse(X0))) = join(X0,converse(composition(X_117,converse(X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X0),composition(X_117,converse(X0)))),join(X0,converse(composition(X_117,converse(X0))))) ),[0,0],$fot(composition(join(X_117,one),converse(X0)))]]) ).
cnf(refute_0_371,plain,
( converse(join(converse(X0),composition(X_117,converse(X0)))) != join(X0,converse(composition(X_117,converse(X0))))
| converse(composition(join(X_117,one),converse(X0))) = join(X0,converse(composition(X_117,converse(X0)))) ),
inference(resolve,[$cnf( $equal(join(converse(X0),composition(X_117,converse(X0))),composition(join(X_117,one),converse(X0))) )],[refute_0_369,refute_0_370]) ).
cnf(refute_0_372,plain,
converse(composition(join(X_117,one),converse(X0))) = join(X0,converse(composition(X_117,converse(X0)))),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),composition(X_117,converse(X0)))),join(X0,converse(composition(X_117,converse(X0))))) )],[refute_0_356,refute_0_371]) ).
cnf(refute_0_373,plain,
converse(composition(X_27,converse(X0))) = composition(converse(converse(X0)),converse(X_27)),
inference(subst,[],[refute_0_172:[bind(X0,$fot(X_27)),bind(X1,$fot(converse(X0)))]]) ).
cnf(refute_0_374,plain,
( converse(composition(X_27,converse(X0))) != composition(converse(converse(X0)),converse(X_27))
| converse(converse(X0)) != X0
| converse(composition(X_27,converse(X0))) = composition(X0,converse(X_27)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(X_27,converse(X0))),composition(converse(converse(X0)),converse(X_27))) ),[1,0],$fot(X0)]]) ).
cnf(refute_0_375,plain,
( converse(composition(X_27,converse(X0))) != composition(converse(converse(X0)),converse(X_27))
| converse(composition(X_27,converse(X0))) = composition(X0,converse(X_27)) ),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_0_174,refute_0_374]) ).
cnf(refute_0_376,plain,
converse(composition(X_27,converse(X0))) = composition(X0,converse(X_27)),
inference(resolve,[$cnf( $equal(converse(composition(X_27,converse(X0))),composition(converse(converse(X0)),converse(X_27))) )],[refute_0_373,refute_0_375]) ).
cnf(refute_0_377,plain,
converse(composition(join(X_117,one),converse(X0))) = composition(X0,converse(join(X_117,one))),
inference(subst,[],[refute_0_376:[bind(X_27,$fot(join(X_117,one)))]]) ).
cnf(refute_0_378,plain,
( converse(composition(join(X_117,one),converse(X0))) != composition(X0,converse(join(X_117,one)))
| converse(composition(join(X_117,one),converse(X0))) != join(X0,converse(composition(X_117,converse(X0))))
| composition(X0,converse(join(X_117,one))) = join(X0,converse(composition(X_117,converse(X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(join(X_117,one),converse(X0))),join(X0,converse(composition(X_117,converse(X0))))) ),[0],$fot(composition(X0,converse(join(X_117,one))))]]) ).
cnf(refute_0_379,plain,
( converse(composition(join(X_117,one),converse(X0))) != join(X0,converse(composition(X_117,converse(X0))))
| composition(X0,converse(join(X_117,one))) = join(X0,converse(composition(X_117,converse(X0)))) ),
inference(resolve,[$cnf( $equal(converse(composition(join(X_117,one),converse(X0))),composition(X0,converse(join(X_117,one)))) )],[refute_0_377,refute_0_378]) ).
cnf(refute_0_380,plain,
converse(composition(X_117,converse(X0))) = composition(X0,converse(X_117)),
inference(subst,[],[refute_0_376:[bind(X_27,$fot(X_117))]]) ).
cnf(refute_0_381,plain,
join(X0,converse(composition(X_117,converse(X0)))) = join(X0,converse(composition(X_117,converse(X0)))),
introduced(tautology,[refl,[$fot(join(X0,converse(composition(X_117,converse(X0)))))]]) ).
cnf(refute_0_382,plain,
( converse(composition(X_117,converse(X0))) != composition(X0,converse(X_117))
| join(X0,converse(composition(X_117,converse(X0)))) != join(X0,converse(composition(X_117,converse(X0))))
| join(X0,converse(composition(X_117,converse(X0)))) = join(X0,composition(X0,converse(X_117))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X0,converse(composition(X_117,converse(X0)))),join(X0,converse(composition(X_117,converse(X0))))) ),[1,1],$fot(composition(X0,converse(X_117)))]]) ).
cnf(refute_0_383,plain,
( converse(composition(X_117,converse(X0))) != composition(X0,converse(X_117))
| join(X0,converse(composition(X_117,converse(X0)))) = join(X0,composition(X0,converse(X_117))) ),
inference(resolve,[$cnf( $equal(join(X0,converse(composition(X_117,converse(X0)))),join(X0,converse(composition(X_117,converse(X0))))) )],[refute_0_381,refute_0_382]) ).
cnf(refute_0_384,plain,
join(X0,converse(composition(X_117,converse(X0)))) = join(X0,composition(X0,converse(X_117))),
inference(resolve,[$cnf( $equal(converse(composition(X_117,converse(X0))),composition(X0,converse(X_117))) )],[refute_0_380,refute_0_383]) ).
cnf(refute_0_385,plain,
( composition(X0,converse(join(X_117,one))) != join(X0,converse(composition(X_117,converse(X0))))
| join(X0,converse(composition(X_117,converse(X0)))) != join(X0,composition(X0,converse(X_117)))
| composition(X0,converse(join(X_117,one))) = join(X0,composition(X0,converse(X_117))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(X0,converse(join(X_117,one))),join(X0,composition(X0,converse(X_117)))) ),[0],$fot(join(X0,converse(composition(X_117,converse(X0)))))]]) ).
cnf(refute_0_386,plain,
( composition(X0,converse(join(X_117,one))) != join(X0,converse(composition(X_117,converse(X0))))
| composition(X0,converse(join(X_117,one))) = join(X0,composition(X0,converse(X_117))) ),
inference(resolve,[$cnf( $equal(join(X0,converse(composition(X_117,converse(X0)))),join(X0,composition(X0,converse(X_117)))) )],[refute_0_384,refute_0_385]) ).
cnf(refute_0_387,plain,
( converse(composition(join(X_117,one),converse(X0))) != join(X0,converse(composition(X_117,converse(X0))))
| composition(X0,converse(join(X_117,one))) = join(X0,composition(X0,converse(X_117))) ),
inference(resolve,[$cnf( $equal(composition(X0,converse(join(X_117,one))),join(X0,converse(composition(X_117,converse(X0))))) )],[refute_0_379,refute_0_386]) ).
cnf(refute_0_388,plain,
composition(X0,converse(join(X_117,one))) = join(X0,composition(X0,converse(X_117))),
inference(resolve,[$cnf( $equal(converse(composition(join(X_117,one),converse(X0))),join(X0,converse(composition(X_117,converse(X0))))) )],[refute_0_372,refute_0_387]) ).
cnf(refute_0_389,plain,
composition(X_381,converse(join(converse(X0),one))) = join(X_381,composition(X_381,converse(converse(X0)))),
inference(subst,[],[refute_0_388:[bind(X0,$fot(X_381)),bind(X_117,$fot(converse(X0)))]]) ).
cnf(refute_0_390,plain,
( composition(X_381,converse(join(converse(X0),one))) != join(X_381,composition(X_381,converse(converse(X0))))
| converse(converse(X0)) != X0
| composition(X_381,converse(join(converse(X0),one))) = join(X_381,composition(X_381,X0)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(X_381,converse(join(converse(X0),one))),join(X_381,composition(X_381,converse(converse(X0))))) ),[1,1,1],$fot(X0)]]) ).
cnf(refute_0_391,plain,
( composition(X_381,converse(join(converse(X0),one))) != join(X_381,composition(X_381,converse(converse(X0))))
| composition(X_381,converse(join(converse(X0),one))) = join(X_381,composition(X_381,X0)) ),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_0_174,refute_0_390]) ).
cnf(refute_0_392,plain,
composition(X_381,converse(join(converse(X0),one))) = join(X_381,composition(X_381,X0)),
inference(resolve,[$cnf( $equal(composition(X_381,converse(join(converse(X0),one))),join(X_381,composition(X_381,converse(converse(X0))))) )],[refute_0_389,refute_0_391]) ).
cnf(refute_0_393,plain,
join(converse(one),X0) = join(converse(one),X0),
introduced(tautology,[refl,[$fot(join(converse(one),X0))]]) ).
cnf(refute_0_394,plain,
( converse(one) != one
| join(converse(one),X0) != join(converse(one),X0)
| join(converse(one),X0) = join(one,X0) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(one),X0),join(converse(one),X0)) ),[1,0],$fot(one)]]) ).
cnf(refute_0_395,plain,
( converse(one) != one
| join(converse(one),X0) = join(one,X0) ),
inference(resolve,[$cnf( $equal(join(converse(one),X0),join(converse(one),X0)) )],[refute_0_393,refute_0_394]) ).
cnf(refute_0_396,plain,
join(converse(one),X0) = join(one,X0),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_212,refute_0_395]) ).
cnf(refute_0_397,plain,
converse(join(X_20,converse(X0))) = join(converse(X_20),converse(converse(X0))),
inference(subst,[],[refute_0_351:[bind(X0,$fot(X_20)),bind(X1,$fot(converse(X0)))]]) ).
cnf(refute_0_398,plain,
( converse(converse(X0)) != X0
| converse(join(X_20,converse(X0))) != join(converse(X_20),converse(converse(X0)))
| converse(join(X_20,converse(X0))) = join(converse(X_20),X0) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X_20,converse(X0))),join(converse(X_20),converse(converse(X0)))) ),[1,1],$fot(X0)]]) ).
cnf(refute_0_399,plain,
( converse(join(X_20,converse(X0))) != join(converse(X_20),converse(converse(X0)))
| converse(join(X_20,converse(X0))) = join(converse(X_20),X0) ),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_0_174,refute_0_398]) ).
cnf(refute_0_400,plain,
converse(join(X_20,converse(X0))) = join(converse(X_20),X0),
inference(resolve,[$cnf( $equal(converse(join(X_20,converse(X0))),join(converse(X_20),converse(converse(X0)))) )],[refute_0_397,refute_0_399]) ).
cnf(refute_0_401,plain,
converse(join(one,converse(X0))) = join(converse(one),X0),
inference(subst,[],[refute_0_400:[bind(X_20,$fot(one))]]) ).
cnf(refute_0_402,plain,
( converse(join(one,converse(X0))) != join(converse(one),X0)
| join(converse(one),X0) != join(one,X0)
| converse(join(one,converse(X0))) = join(one,X0) ),
inference(subst,[],[refute_0_31:[bind(X,$fot(converse(join(one,converse(X0))))),bind(Y,$fot(join(converse(one),X0))),bind(Z,$fot(join(one,X0)))]]) ).
cnf(refute_0_403,plain,
( join(converse(one),X0) != join(one,X0)
| converse(join(one,converse(X0))) = join(one,X0) ),
inference(resolve,[$cnf( $equal(converse(join(one,converse(X0))),join(converse(one),X0)) )],[refute_0_401,refute_0_402]) ).
cnf(refute_0_404,plain,
converse(join(one,converse(X0))) = join(one,X0),
inference(resolve,[$cnf( $equal(join(converse(one),X0),join(one,X0)) )],[refute_0_396,refute_0_403]) ).
cnf(refute_0_405,plain,
composition(X_381,converse(join(one,converse(X0)))) = composition(X_381,converse(join(one,converse(X0)))),
introduced(tautology,[refl,[$fot(composition(X_381,converse(join(one,converse(X0)))))]]) ).
cnf(refute_0_406,plain,
( composition(X_381,converse(join(one,converse(X0)))) != composition(X_381,converse(join(one,converse(X0))))
| converse(join(one,converse(X0))) != join(one,X0)
| composition(X_381,converse(join(one,converse(X0)))) = composition(X_381,join(one,X0)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(X_381,converse(join(one,converse(X0)))),composition(X_381,converse(join(one,converse(X0))))) ),[1,1],$fot(join(one,X0))]]) ).
cnf(refute_0_407,plain,
( converse(join(one,converse(X0))) != join(one,X0)
| composition(X_381,converse(join(one,converse(X0)))) = composition(X_381,join(one,X0)) ),
inference(resolve,[$cnf( $equal(composition(X_381,converse(join(one,converse(X0)))),composition(X_381,converse(join(one,converse(X0))))) )],[refute_0_405,refute_0_406]) ).
cnf(refute_0_408,plain,
composition(X_381,converse(join(one,converse(X0)))) = composition(X_381,join(one,X0)),
inference(resolve,[$cnf( $equal(converse(join(one,converse(X0))),join(one,X0)) )],[refute_0_404,refute_0_407]) ).
cnf(refute_0_409,plain,
composition(X_381,converse(join(X_382,one))) = join(X_381,composition(X_381,converse(X_382))),
inference(subst,[],[refute_0_388:[bind(X0,$fot(X_381)),bind(X_117,$fot(X_382))]]) ).
cnf(refute_0_410,plain,
join(one,X_382) = join(X_382,one),
inference(subst,[],[refute_0_15:[bind(X0,$fot(one)),bind(X1,$fot(X_382))]]) ).
cnf(refute_0_411,plain,
( join(one,X_382) != join(X_382,one)
| join(X_382,one) = join(one,X_382) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(one,X_382))),bind(Y,$fot(join(X_382,one)))]]) ).
cnf(refute_0_412,plain,
join(X_382,one) = join(one,X_382),
inference(resolve,[$cnf( $equal(join(one,X_382),join(X_382,one)) )],[refute_0_410,refute_0_411]) ).
cnf(refute_0_413,plain,
( composition(X_381,converse(join(X_382,one))) != join(X_381,composition(X_381,converse(X_382)))
| join(X_382,one) != join(one,X_382)
| composition(X_381,converse(join(one,X_382))) = join(X_381,composition(X_381,converse(X_382))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(X_381,converse(join(X_382,one))),join(X_381,composition(X_381,converse(X_382)))) ),[0,1,0],$fot(join(one,X_382))]]) ).
cnf(refute_0_414,plain,
( composition(X_381,converse(join(X_382,one))) != join(X_381,composition(X_381,converse(X_382)))
| composition(X_381,converse(join(one,X_382))) = join(X_381,composition(X_381,converse(X_382))) ),
inference(resolve,[$cnf( $equal(join(X_382,one),join(one,X_382)) )],[refute_0_412,refute_0_413]) ).
cnf(refute_0_415,plain,
composition(X_381,converse(join(one,X_382))) = join(X_381,composition(X_381,converse(X_382))),
inference(resolve,[$cnf( $equal(composition(X_381,converse(join(X_382,one))),join(X_381,composition(X_381,converse(X_382)))) )],[refute_0_409,refute_0_414]) ).
cnf(refute_0_416,plain,
( composition(X0,converse(join(X_117,one))) != join(X0,composition(X0,converse(X_117)))
| join(X0,composition(X0,converse(X_117))) = composition(X0,converse(join(X_117,one))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(composition(X0,converse(join(X_117,one))))),bind(Y,$fot(join(X0,composition(X0,converse(X_117)))))]]) ).
cnf(refute_0_417,plain,
join(X0,composition(X0,converse(X_117))) = composition(X0,converse(join(X_117,one))),
inference(resolve,[$cnf( $equal(composition(X0,converse(join(X_117,one))),join(X0,composition(X0,converse(X_117)))) )],[refute_0_388,refute_0_416]) ).
cnf(refute_0_418,plain,
join(X_381,composition(X_381,converse(X_382))) = composition(X_381,converse(join(X_382,one))),
inference(subst,[],[refute_0_417:[bind(X0,$fot(X_381)),bind(X_117,$fot(X_382))]]) ).
cnf(refute_0_419,plain,
( composition(X_381,converse(join(one,X_382))) != join(X_381,composition(X_381,converse(X_382)))
| join(X_381,composition(X_381,converse(X_382))) != composition(X_381,converse(join(X_382,one)))
| composition(X_381,converse(join(one,X_382))) = composition(X_381,converse(join(X_382,one))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(X_381,converse(join(one,X_382))),composition(X_381,converse(join(X_382,one)))) ),[0],$fot(join(X_381,composition(X_381,converse(X_382))))]]) ).
cnf(refute_0_420,plain,
( composition(X_381,converse(join(one,X_382))) != join(X_381,composition(X_381,converse(X_382)))
| composition(X_381,converse(join(one,X_382))) = composition(X_381,converse(join(X_382,one))) ),
inference(resolve,[$cnf( $equal(join(X_381,composition(X_381,converse(X_382))),composition(X_381,converse(join(X_382,one)))) )],[refute_0_418,refute_0_419]) ).
cnf(refute_0_421,plain,
composition(X_381,converse(join(one,X_382))) = composition(X_381,converse(join(X_382,one))),
inference(resolve,[$cnf( $equal(composition(X_381,converse(join(one,X_382))),join(X_381,composition(X_381,converse(X_382)))) )],[refute_0_415,refute_0_420]) ).
cnf(refute_0_422,plain,
( composition(X_381,converse(join(one,X_382))) != composition(X_381,converse(join(X_382,one)))
| composition(X_381,converse(join(X_382,one))) = composition(X_381,converse(join(one,X_382))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(composition(X_381,converse(join(one,X_382))))),bind(Y,$fot(composition(X_381,converse(join(X_382,one)))))]]) ).
cnf(refute_0_423,plain,
composition(X_381,converse(join(X_382,one))) = composition(X_381,converse(join(one,X_382))),
inference(resolve,[$cnf( $equal(composition(X_381,converse(join(one,X_382))),composition(X_381,converse(join(X_382,one)))) )],[refute_0_421,refute_0_422]) ).
cnf(refute_0_424,plain,
composition(X_381,converse(join(converse(X0),one))) = composition(X_381,converse(join(one,converse(X0)))),
inference(subst,[],[refute_0_423:[bind(X_382,$fot(converse(X0)))]]) ).
cnf(refute_0_425,plain,
( composition(X_381,converse(join(converse(X0),one))) != composition(X_381,converse(join(one,converse(X0))))
| composition(X_381,converse(join(one,converse(X0)))) != composition(X_381,join(one,X0))
| composition(X_381,converse(join(converse(X0),one))) = composition(X_381,join(one,X0)) ),
inference(subst,[],[refute_0_31:[bind(X,$fot(composition(X_381,converse(join(converse(X0),one))))),bind(Y,$fot(composition(X_381,converse(join(one,converse(X0)))))),bind(Z,$fot(composition(X_381,join(one,X0))))]]) ).
cnf(refute_0_426,plain,
( composition(X_381,converse(join(one,converse(X0)))) != composition(X_381,join(one,X0))
| composition(X_381,converse(join(converse(X0),one))) = composition(X_381,join(one,X0)) ),
inference(resolve,[$cnf( $equal(composition(X_381,converse(join(converse(X0),one))),composition(X_381,converse(join(one,converse(X0))))) )],[refute_0_424,refute_0_425]) ).
cnf(refute_0_427,plain,
composition(X_381,converse(join(converse(X0),one))) = composition(X_381,join(one,X0)),
inference(resolve,[$cnf( $equal(composition(X_381,converse(join(one,converse(X0)))),composition(X_381,join(one,X0))) )],[refute_0_408,refute_0_426]) ).
cnf(refute_0_428,plain,
( composition(X_381,converse(join(converse(X0),one))) != composition(X_381,join(one,X0))
| composition(X_381,converse(join(converse(X0),one))) != join(X_381,composition(X_381,X0))
| composition(X_381,join(one,X0)) = join(X_381,composition(X_381,X0)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(X_381,converse(join(converse(X0),one))),join(X_381,composition(X_381,X0))) ),[0],$fot(composition(X_381,join(one,X0)))]]) ).
cnf(refute_0_429,plain,
( composition(X_381,converse(join(converse(X0),one))) != join(X_381,composition(X_381,X0))
| composition(X_381,join(one,X0)) = join(X_381,composition(X_381,X0)) ),
inference(resolve,[$cnf( $equal(composition(X_381,converse(join(converse(X0),one))),composition(X_381,join(one,X0))) )],[refute_0_427,refute_0_428]) ).
cnf(refute_0_430,plain,
composition(X_381,join(one,X0)) = join(X_381,composition(X_381,X0)),
inference(resolve,[$cnf( $equal(composition(X_381,converse(join(converse(X0),one))),join(X_381,composition(X_381,X0))) )],[refute_0_392,refute_0_429]) ).
cnf(refute_0_431,plain,
( composition(X_381,join(one,X0)) != join(X_381,composition(X_381,X0))
| join(X_381,composition(X_381,X0)) = composition(X_381,join(one,X0)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(composition(X_381,join(one,X0)))),bind(Y,$fot(join(X_381,composition(X_381,X0))))]]) ).
cnf(refute_0_432,plain,
join(X_381,composition(X_381,X0)) = composition(X_381,join(one,X0)),
inference(resolve,[$cnf( $equal(composition(X_381,join(one,X0)),join(X_381,composition(X_381,X0))) )],[refute_0_430,refute_0_431]) ).
cnf(refute_0_433,plain,
join(complement(composition(skolemFOFtoCNF_X0,top)),composition(complement(composition(skolemFOFtoCNF_X0,top)),top)) = composition(complement(composition(skolemFOFtoCNF_X0,top)),join(one,top)),
inference(subst,[],[refute_0_432:[bind(X0,$fot(top)),bind(X_381,$fot(complement(composition(skolemFOFtoCNF_X0,top))))]]) ).
cnf(refute_0_434,plain,
( composition(complement(composition(skolemFOFtoCNF_X0,top)),join(one,top)) != composition(complement(composition(skolemFOFtoCNF_X0,top)),top)
| join(complement(composition(skolemFOFtoCNF_X0,top)),composition(complement(composition(skolemFOFtoCNF_X0,top)),top)) != composition(complement(composition(skolemFOFtoCNF_X0,top)),join(one,top))
| join(complement(composition(skolemFOFtoCNF_X0,top)),composition(complement(composition(skolemFOFtoCNF_X0,top)),top)) = composition(complement(composition(skolemFOFtoCNF_X0,top)),top) ),
inference(subst,[],[refute_0_31:[bind(X,$fot(join(complement(composition(skolemFOFtoCNF_X0,top)),composition(complement(composition(skolemFOFtoCNF_X0,top)),top)))),bind(Y,$fot(composition(complement(composition(skolemFOFtoCNF_X0,top)),join(one,top)))),bind(Z,$fot(composition(complement(composition(skolemFOFtoCNF_X0,top)),top)))]]) ).
cnf(refute_0_435,plain,
( composition(complement(composition(skolemFOFtoCNF_X0,top)),join(one,top)) != composition(complement(composition(skolemFOFtoCNF_X0,top)),top)
| join(complement(composition(skolemFOFtoCNF_X0,top)),composition(complement(composition(skolemFOFtoCNF_X0,top)),top)) = composition(complement(composition(skolemFOFtoCNF_X0,top)),top) ),
inference(resolve,[$cnf( $equal(join(complement(composition(skolemFOFtoCNF_X0,top)),composition(complement(composition(skolemFOFtoCNF_X0,top)),top)),composition(complement(composition(skolemFOFtoCNF_X0,top)),join(one,top))) )],[refute_0_433,refute_0_434]) ).
cnf(refute_0_436,plain,
join(complement(composition(skolemFOFtoCNF_X0,top)),composition(complement(composition(skolemFOFtoCNF_X0,top)),top)) = composition(complement(composition(skolemFOFtoCNF_X0,top)),top),
inference(resolve,[$cnf( $equal(composition(complement(composition(skolemFOFtoCNF_X0,top)),join(one,top)),composition(complement(composition(skolemFOFtoCNF_X0,top)),top)) )],[refute_0_350,refute_0_435]) ).
cnf(refute_0_437,plain,
( composition(complement(composition(skolemFOFtoCNF_X0,top)),top) != composition(complement(composition(skolemFOFtoCNF_X0,top)),top)
| join(complement(composition(skolemFOFtoCNF_X0,top)),composition(complement(composition(skolemFOFtoCNF_X0,top)),top)) != composition(complement(composition(skolemFOFtoCNF_X0,top)),top)
| join(complement(composition(skolemFOFtoCNF_X0,top)),composition(complement(composition(skolemFOFtoCNF_X0,top)),top)) = composition(complement(composition(skolemFOFtoCNF_X0,top)),top) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(composition(skolemFOFtoCNF_X0,top)),composition(complement(composition(skolemFOFtoCNF_X0,top)),top)),composition(complement(composition(skolemFOFtoCNF_X0,top)),top)) ),[0,1],$fot(composition(complement(composition(skolemFOFtoCNF_X0,top)),top))]]) ).
cnf(refute_0_438,plain,
( composition(complement(composition(skolemFOFtoCNF_X0,top)),top) != composition(complement(composition(skolemFOFtoCNF_X0,top)),top)
| join(complement(composition(skolemFOFtoCNF_X0,top)),composition(complement(composition(skolemFOFtoCNF_X0,top)),top)) = composition(complement(composition(skolemFOFtoCNF_X0,top)),top) ),
inference(resolve,[$cnf( $equal(join(complement(composition(skolemFOFtoCNF_X0,top)),composition(complement(composition(skolemFOFtoCNF_X0,top)),top)),composition(complement(composition(skolemFOFtoCNF_X0,top)),top)) )],[refute_0_436,refute_0_437]) ).
cnf(refute_0_439,plain,
composition(complement(composition(skolemFOFtoCNF_X0,top)),top) != composition(complement(composition(skolemFOFtoCNF_X0,top)),top),
inference(resolve,[$cnf( $equal(join(complement(composition(skolemFOFtoCNF_X0,top)),composition(complement(composition(skolemFOFtoCNF_X0,top)),top)),composition(complement(composition(skolemFOFtoCNF_X0,top)),top)) )],[refute_0_438,refute_0_0]) ).
cnf(refute_0_440,plain,
composition(complement(composition(skolemFOFtoCNF_X0,top)),top) = composition(complement(composition(skolemFOFtoCNF_X0,top)),top),
introduced(tautology,[refl,[$fot(composition(complement(composition(skolemFOFtoCNF_X0,top)),top))]]) ).
cnf(refute_0_441,plain,
$false,
inference(resolve,[$cnf( $equal(composition(complement(composition(skolemFOFtoCNF_X0,top)),top),composition(complement(composition(skolemFOFtoCNF_X0,top)),top)) )],[refute_0_440,refute_0_439]) ).
fof(negate_1_0,plain,
~ ! [X0] :
( join(complement(composition(X0,top)),composition(complement(composition(X0,top)),top)) = composition(complement(composition(X0,top)),top)
=> join(composition(complement(composition(X0,top)),top),complement(composition(X0,top))) = complement(composition(X0,top)) ),
inference(negate,[],[subgoal_1]) ).
fof(normalize_1_0,plain,
? [X0] :
( join(composition(complement(composition(X0,top)),top),complement(composition(X0,top))) != complement(composition(X0,top))
& join(complement(composition(X0,top)),composition(complement(composition(X0,top)),top)) = composition(complement(composition(X0,top)),top) ),
inference(canonicalize,[],[negate_1_0]) ).
fof(normalize_1_1,plain,
( join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),complement(composition(skolemFOFtoCNF_X0_1,top))) != complement(composition(skolemFOFtoCNF_X0_1,top))
& join(complement(composition(skolemFOFtoCNF_X0_1,top)),composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top)) = composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top) ),
inference(skolemize,[],[normalize_1_0]) ).
fof(normalize_1_2,plain,
join(complement(composition(skolemFOFtoCNF_X0_1,top)),composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top)) = composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),
inference(conjunct,[],[normalize_1_1]) ).
fof(normalize_1_3,plain,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
inference(canonicalize,[],[converse_cancellativity]) ).
fof(normalize_1_4,plain,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
inference(specialize,[],[normalize_1_3]) ).
fof(normalize_1_5,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(canonicalize,[],[maddux1_join_commutativity]) ).
fof(normalize_1_6,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(specialize,[],[normalize_1_5]) ).
fof(normalize_1_7,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(canonicalize,[],[converse_multiplicativity]) ).
fof(normalize_1_8,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(specialize,[],[normalize_1_7]) ).
fof(normalize_1_9,plain,
! [X0] : converse(converse(X0)) = X0,
inference(canonicalize,[],[converse_idempotence]) ).
fof(normalize_1_10,plain,
! [X0] : converse(converse(X0)) = X0,
inference(specialize,[],[normalize_1_9]) ).
fof(normalize_1_11,plain,
! [X0,X1,X2] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
inference(canonicalize,[],[composition_associativity]) ).
fof(normalize_1_12,plain,
! [X0,X1,X2] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
inference(specialize,[],[normalize_1_11]) ).
fof(normalize_1_13,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(canonicalize,[],[def_zero]) ).
fof(normalize_1_14,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(specialize,[],[normalize_1_13]) ).
fof(normalize_1_15,plain,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
inference(canonicalize,[],[maddux4_definiton_of_meet]) ).
fof(normalize_1_16,plain,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
inference(specialize,[],[normalize_1_15]) ).
fof(normalize_1_17,plain,
! [X0] : top = join(X0,complement(X0)),
inference(canonicalize,[],[def_top]) ).
fof(normalize_1_18,plain,
! [X0] : top = join(X0,complement(X0)),
inference(specialize,[],[normalize_1_17]) ).
fof(normalize_1_19,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_1_20,plain,
! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
inference(specialize,[],[normalize_1_19]) ).
fof(normalize_1_21,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(canonicalize,[],[maddux2_join_associativity]) ).
fof(normalize_1_22,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(specialize,[],[normalize_1_21]) ).
fof(normalize_1_23,plain,
! [X0] : composition(X0,one) = X0,
inference(canonicalize,[],[composition_identity]) ).
fof(normalize_1_24,plain,
! [X0] : composition(X0,one) = X0,
inference(specialize,[],[normalize_1_23]) ).
fof(normalize_1_25,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(canonicalize,[],[converse_additivity]) ).
fof(normalize_1_26,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(specialize,[],[normalize_1_25]) ).
fof(normalize_1_27,plain,
! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(canonicalize,[],[composition_distributivity]) ).
fof(normalize_1_28,plain,
! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(specialize,[],[normalize_1_27]) ).
fof(normalize_1_29,plain,
join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),complement(composition(skolemFOFtoCNF_X0_1,top))) != complement(composition(skolemFOFtoCNF_X0_1,top)),
inference(conjunct,[],[normalize_1_1]) ).
cnf(refute_1_0,plain,
join(complement(composition(skolemFOFtoCNF_X0_1,top)),composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top)) = composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),
inference(canonicalize,[],[normalize_1_2]) ).
cnf(refute_1_1,plain,
join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
inference(canonicalize,[],[normalize_1_4]) ).
cnf(refute_1_2,plain,
join(X0,X1) = join(X1,X0),
inference(canonicalize,[],[normalize_1_6]) ).
cnf(refute_1_3,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_1_4,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_1_5,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_1_3,refute_1_4]) ).
cnf(refute_1_6,plain,
( join(X0,X1) != join(X1,X0)
| join(X1,X0) = join(X0,X1) ),
inference(subst,[],[refute_1_5:[bind(X,$fot(join(X0,X1))),bind(Y,$fot(join(X1,X0)))]]) ).
cnf(refute_1_7,plain,
join(X1,X0) = join(X0,X1),
inference(resolve,[$cnf( $equal(join(X0,X1),join(X1,X0)) )],[refute_1_2,refute_1_6]) ).
cnf(refute_1_8,plain,
join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))),
inference(subst,[],[refute_1_7:[bind(X0,$fot(complement(X1))),bind(X1,$fot(composition(converse(X0),complement(composition(X0,X1)))))]]) ).
cnf(refute_1_9,plain,
( join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) != complement(X1)
| join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) != join(complement(X1),composition(converse(X0),complement(composition(X0,X1))))
| join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))) = complement(X1) ),
introduced(tautology,[equality,[$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_1_10,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( $equal(join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),join(complement(X1),composition(converse(X0),complement(composition(X0,X1))))) )],[refute_1_8,refute_1_9]) ).
cnf(refute_1_11,plain,
join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))) = complement(X1),
inference(resolve,[$cnf( $equal(join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),complement(X1)) )],[refute_1_1,refute_1_10]) ).
cnf(refute_1_12,plain,
join(complement(converse(X0)),composition(converse(converse(X1)),complement(composition(converse(X1),converse(X0))))) = complement(converse(X0)),
inference(subst,[],[refute_1_11:[bind(X0,$fot(converse(X1))),bind(X1,$fot(converse(X0)))]]) ).
cnf(refute_1_13,plain,
converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(canonicalize,[],[normalize_1_8]) ).
cnf(refute_1_14,plain,
( converse(composition(X0,X1)) != composition(converse(X1),converse(X0))
| composition(converse(X1),converse(X0)) = converse(composition(X0,X1)) ),
inference(subst,[],[refute_1_5:[bind(X,$fot(converse(composition(X0,X1)))),bind(Y,$fot(composition(converse(X1),converse(X0))))]]) ).
cnf(refute_1_15,plain,
composition(converse(X1),converse(X0)) = converse(composition(X0,X1)),
inference(resolve,[$cnf( $equal(converse(composition(X0,X1)),composition(converse(X1),converse(X0))) )],[refute_1_13,refute_1_14]) ).
cnf(refute_1_16,plain,
( composition(converse(X1),converse(X0)) != converse(composition(X0,X1))
| join(complement(converse(X0)),composition(converse(converse(X1)),complement(composition(converse(X1),converse(X0))))) != complement(converse(X0))
| join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))) = complement(converse(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(X0)),composition(converse(converse(X1)),complement(composition(converse(X1),converse(X0))))),complement(converse(X0))) ),[0,1,1,0],$fot(converse(composition(X0,X1)))]]) ).
cnf(refute_1_17,plain,
( join(complement(converse(X0)),composition(converse(converse(X1)),complement(composition(converse(X1),converse(X0))))) != complement(converse(X0))
| join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))) = complement(converse(X0)) ),
inference(resolve,[$cnf( $equal(composition(converse(X1),converse(X0)),converse(composition(X0,X1))) )],[refute_1_15,refute_1_16]) ).
cnf(refute_1_18,plain,
join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))) = complement(converse(X0)),
inference(resolve,[$cnf( $equal(join(complement(converse(X0)),composition(converse(converse(X1)),complement(composition(converse(X1),converse(X0))))),complement(converse(X0))) )],[refute_1_12,refute_1_17]) ).
cnf(refute_1_19,plain,
converse(converse(X0)) = X0,
inference(canonicalize,[],[normalize_1_10]) ).
cnf(refute_1_20,plain,
converse(converse(X1)) = X1,
inference(subst,[],[refute_1_19:[bind(X0,$fot(X1))]]) ).
cnf(refute_1_21,plain,
composition(converse(converse(X1)),complement(converse(composition(X0,X1)))) = composition(converse(converse(X1)),complement(converse(composition(X0,X1)))),
introduced(tautology,[refl,[$fot(composition(converse(converse(X1)),complement(converse(composition(X0,X1)))))]]) ).
cnf(refute_1_22,plain,
( composition(converse(converse(X1)),complement(converse(composition(X0,X1)))) != composition(converse(converse(X1)),complement(converse(composition(X0,X1))))
| converse(converse(X1)) != X1
| composition(converse(converse(X1)),complement(converse(composition(X0,X1)))) = composition(X1,complement(converse(composition(X0,X1)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(converse(X1)),complement(converse(composition(X0,X1)))),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))) ),[1,0],$fot(X1)]]) ).
cnf(refute_1_23,plain,
( converse(converse(X1)) != X1
| composition(converse(converse(X1)),complement(converse(composition(X0,X1)))) = composition(X1,complement(converse(composition(X0,X1)))) ),
inference(resolve,[$cnf( $equal(composition(converse(converse(X1)),complement(converse(composition(X0,X1)))),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))) )],[refute_1_21,refute_1_22]) ).
cnf(refute_1_24,plain,
composition(converse(converse(X1)),complement(converse(composition(X0,X1)))) = composition(X1,complement(converse(composition(X0,X1)))),
inference(resolve,[$cnf( $equal(converse(converse(X1)),X1) )],[refute_1_20,refute_1_23]) ).
cnf(refute_1_25,plain,
join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))) = join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))),
introduced(tautology,[refl,[$fot(join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))))]]) ).
cnf(refute_1_26,plain,
( composition(converse(converse(X1)),complement(converse(composition(X0,X1)))) != composition(X1,complement(converse(composition(X0,X1))))
| join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))) != join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1)))))
| join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))) = join(complement(converse(X0)),composition(X1,complement(converse(composition(X0,X1))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))),join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1)))))) ),[1,1],$fot(composition(X1,complement(converse(composition(X0,X1)))))]]) ).
cnf(refute_1_27,plain,
( composition(converse(converse(X1)),complement(converse(composition(X0,X1)))) != composition(X1,complement(converse(composition(X0,X1))))
| join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))) = join(complement(converse(X0)),composition(X1,complement(converse(composition(X0,X1))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))),join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1)))))) )],[refute_1_25,refute_1_26]) ).
cnf(refute_1_28,plain,
join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))) = join(complement(converse(X0)),composition(X1,complement(converse(composition(X0,X1))))),
inference(resolve,[$cnf( $equal(composition(converse(converse(X1)),complement(converse(composition(X0,X1)))),composition(X1,complement(converse(composition(X0,X1))))) )],[refute_1_24,refute_1_27]) ).
cnf(refute_1_29,plain,
( join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))) != complement(converse(X0))
| join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))) != join(complement(converse(X0)),composition(X1,complement(converse(composition(X0,X1)))))
| join(complement(converse(X0)),composition(X1,complement(converse(composition(X0,X1))))) = complement(converse(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))),complement(converse(X0))) ),[0],$fot(join(complement(converse(X0)),composition(X1,complement(converse(composition(X0,X1))))))]]) ).
cnf(refute_1_30,plain,
( join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))) != complement(converse(X0))
| join(complement(converse(X0)),composition(X1,complement(converse(composition(X0,X1))))) = complement(converse(X0)) ),
inference(resolve,[$cnf( $equal(join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))),join(complement(converse(X0)),composition(X1,complement(converse(composition(X0,X1)))))) )],[refute_1_28,refute_1_29]) ).
cnf(refute_1_31,plain,
join(complement(converse(X0)),composition(X1,complement(converse(composition(X0,X1))))) = complement(converse(X0)),
inference(resolve,[$cnf( $equal(join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))),complement(converse(X0))) )],[refute_1_18,refute_1_30]) ).
cnf(refute_1_32,plain,
join(complement(converse(converse(composition(X_566,X_565)))),composition(complement(composition(X_566,top)),complement(converse(composition(converse(composition(X_566,X_565)),complement(composition(X_566,top))))))) = complement(converse(converse(composition(X_566,X_565)))),
inference(subst,[],[refute_1_31:[bind(X0,$fot(converse(composition(X_566,X_565)))),bind(X1,$fot(complement(composition(X_566,top))))]]) ).
cnf(refute_1_33,plain,
converse(composition(converse(X0),X_390)) = composition(converse(X_390),converse(converse(X0))),
inference(subst,[],[refute_1_13:[bind(X0,$fot(converse(X0))),bind(X1,$fot(X_390))]]) ).
cnf(refute_1_34,plain,
( converse(composition(converse(X0),X_390)) != composition(converse(X_390),converse(converse(X0)))
| converse(converse(X0)) != X0
| converse(composition(converse(X0),X_390)) = composition(converse(X_390),X0) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(X0),X_390)),composition(converse(X_390),converse(converse(X0)))) ),[1,1],$fot(X0)]]) ).
cnf(refute_1_35,plain,
( converse(composition(converse(X0),X_390)) != composition(converse(X_390),converse(converse(X0)))
| converse(composition(converse(X0),X_390)) = composition(converse(X_390),X0) ),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_1_19,refute_1_34]) ).
cnf(refute_1_36,plain,
converse(composition(converse(X0),X_390)) = composition(converse(X_390),X0),
inference(resolve,[$cnf( $equal(converse(composition(converse(X0),X_390)),composition(converse(X_390),converse(converse(X0)))) )],[refute_1_33,refute_1_35]) ).
cnf(refute_1_37,plain,
converse(composition(converse(composition(converse(X_400),X_401)),X_390)) = composition(converse(X_390),composition(converse(X_400),X_401)),
inference(subst,[],[refute_1_36:[bind(X0,$fot(composition(converse(X_400),X_401)))]]) ).
cnf(refute_1_38,plain,
converse(composition(converse(X_400),X_401)) = composition(converse(X_401),X_400),
inference(subst,[],[refute_1_36:[bind(X0,$fot(X_400)),bind(X_390,$fot(X_401))]]) ).
cnf(refute_1_39,plain,
( converse(composition(converse(X_400),X_401)) != composition(converse(X_401),X_400)
| converse(composition(converse(composition(converse(X_400),X_401)),X_390)) != composition(converse(X_390),composition(converse(X_400),X_401))
| converse(composition(composition(converse(X_401),X_400),X_390)) = composition(converse(X_390),composition(converse(X_400),X_401)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(composition(converse(X_400),X_401)),X_390)),composition(converse(X_390),composition(converse(X_400),X_401))) ),[0,0,0],$fot(composition(converse(X_401),X_400))]]) ).
cnf(refute_1_40,plain,
( converse(composition(converse(composition(converse(X_400),X_401)),X_390)) != composition(converse(X_390),composition(converse(X_400),X_401))
| converse(composition(composition(converse(X_401),X_400),X_390)) = composition(converse(X_390),composition(converse(X_400),X_401)) ),
inference(resolve,[$cnf( $equal(converse(composition(converse(X_400),X_401)),composition(converse(X_401),X_400)) )],[refute_1_38,refute_1_39]) ).
cnf(refute_1_41,plain,
converse(composition(composition(converse(X_401),X_400),X_390)) = composition(converse(X_390),composition(converse(X_400),X_401)),
inference(resolve,[$cnf( $equal(converse(composition(converse(composition(converse(X_400),X_401)),X_390)),composition(converse(X_390),composition(converse(X_400),X_401))) )],[refute_1_37,refute_1_40]) ).
cnf(refute_1_42,plain,
converse(composition(converse(X_401),composition(X_400,X_390))) = composition(converse(composition(X_400,X_390)),X_401),
inference(subst,[],[refute_1_36:[bind(X0,$fot(X_401)),bind(X_390,$fot(composition(X_400,X_390)))]]) ).
cnf(refute_1_43,plain,
composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
inference(canonicalize,[],[normalize_1_12]) ).
cnf(refute_1_44,plain,
( composition(X0,composition(X1,X2)) != composition(composition(X0,X1),X2)
| composition(composition(X0,X1),X2) = composition(X0,composition(X1,X2)) ),
inference(subst,[],[refute_1_5:[bind(X,$fot(composition(X0,composition(X1,X2)))),bind(Y,$fot(composition(composition(X0,X1),X2)))]]) ).
cnf(refute_1_45,plain,
composition(composition(X0,X1),X2) = composition(X0,composition(X1,X2)),
inference(resolve,[$cnf( $equal(composition(X0,composition(X1,X2)),composition(composition(X0,X1),X2)) )],[refute_1_43,refute_1_44]) ).
cnf(refute_1_46,plain,
composition(composition(converse(X_401),X_400),X_390) = composition(converse(X_401),composition(X_400,X_390)),
inference(subst,[],[refute_1_45:[bind(X0,$fot(converse(X_401))),bind(X1,$fot(X_400)),bind(X2,$fot(X_390))]]) ).
cnf(refute_1_47,plain,
converse(composition(composition(converse(X_401),X_400),X_390)) = converse(composition(composition(converse(X_401),X_400),X_390)),
introduced(tautology,[refl,[$fot(converse(composition(composition(converse(X_401),X_400),X_390)))]]) ).
cnf(refute_1_48,plain,
( composition(composition(converse(X_401),X_400),X_390) != composition(converse(X_401),composition(X_400,X_390))
| converse(composition(composition(converse(X_401),X_400),X_390)) != converse(composition(composition(converse(X_401),X_400),X_390))
| converse(composition(composition(converse(X_401),X_400),X_390)) = converse(composition(converse(X_401),composition(X_400,X_390))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(composition(converse(X_401),X_400),X_390)),converse(composition(composition(converse(X_401),X_400),X_390))) ),[1,0],$fot(composition(converse(X_401),composition(X_400,X_390)))]]) ).
cnf(refute_1_49,plain,
( composition(composition(converse(X_401),X_400),X_390) != composition(converse(X_401),composition(X_400,X_390))
| converse(composition(composition(converse(X_401),X_400),X_390)) = converse(composition(converse(X_401),composition(X_400,X_390))) ),
inference(resolve,[$cnf( $equal(converse(composition(composition(converse(X_401),X_400),X_390)),converse(composition(composition(converse(X_401),X_400),X_390))) )],[refute_1_47,refute_1_48]) ).
cnf(refute_1_50,plain,
converse(composition(composition(converse(X_401),X_400),X_390)) = converse(composition(converse(X_401),composition(X_400,X_390))),
inference(resolve,[$cnf( $equal(composition(composition(converse(X_401),X_400),X_390),composition(converse(X_401),composition(X_400,X_390))) )],[refute_1_46,refute_1_49]) ).
cnf(refute_1_51,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_1_52,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_1_5,refute_1_51]) ).
cnf(refute_1_53,plain,
( converse(composition(composition(converse(X_401),X_400),X_390)) != converse(composition(converse(X_401),composition(X_400,X_390)))
| converse(composition(converse(X_401),composition(X_400,X_390))) != composition(converse(composition(X_400,X_390)),X_401)
| converse(composition(composition(converse(X_401),X_400),X_390)) = composition(converse(composition(X_400,X_390)),X_401) ),
inference(subst,[],[refute_1_52:[bind(X,$fot(converse(composition(composition(converse(X_401),X_400),X_390)))),bind(Y,$fot(converse(composition(converse(X_401),composition(X_400,X_390))))),bind(Z,$fot(composition(converse(composition(X_400,X_390)),X_401)))]]) ).
cnf(refute_1_54,plain,
( converse(composition(converse(X_401),composition(X_400,X_390))) != composition(converse(composition(X_400,X_390)),X_401)
| converse(composition(composition(converse(X_401),X_400),X_390)) = composition(converse(composition(X_400,X_390)),X_401) ),
inference(resolve,[$cnf( $equal(converse(composition(composition(converse(X_401),X_400),X_390)),converse(composition(converse(X_401),composition(X_400,X_390)))) )],[refute_1_50,refute_1_53]) ).
cnf(refute_1_55,plain,
converse(composition(composition(converse(X_401),X_400),X_390)) = composition(converse(composition(X_400,X_390)),X_401),
inference(resolve,[$cnf( $equal(converse(composition(converse(X_401),composition(X_400,X_390))),composition(converse(composition(X_400,X_390)),X_401)) )],[refute_1_42,refute_1_54]) ).
cnf(refute_1_56,plain,
( converse(composition(composition(converse(X_401),X_400),X_390)) != composition(converse(X_390),composition(converse(X_400),X_401))
| converse(composition(composition(converse(X_401),X_400),X_390)) != composition(converse(composition(X_400,X_390)),X_401)
| composition(converse(composition(X_400,X_390)),X_401) = composition(converse(X_390),composition(converse(X_400),X_401)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(composition(converse(X_401),X_400),X_390)),composition(converse(X_390),composition(converse(X_400),X_401))) ),[0],$fot(composition(converse(composition(X_400,X_390)),X_401))]]) ).
cnf(refute_1_57,plain,
( converse(composition(composition(converse(X_401),X_400),X_390)) != composition(converse(X_390),composition(converse(X_400),X_401))
| composition(converse(composition(X_400,X_390)),X_401) = composition(converse(X_390),composition(converse(X_400),X_401)) ),
inference(resolve,[$cnf( $equal(converse(composition(composition(converse(X_401),X_400),X_390)),composition(converse(composition(X_400,X_390)),X_401)) )],[refute_1_55,refute_1_56]) ).
cnf(refute_1_58,plain,
composition(converse(composition(X_400,X_390)),X_401) = composition(converse(X_390),composition(converse(X_400),X_401)),
inference(resolve,[$cnf( $equal(converse(composition(composition(converse(X_401),X_400),X_390)),composition(converse(X_390),composition(converse(X_400),X_401))) )],[refute_1_41,refute_1_57]) ).
cnf(refute_1_59,plain,
composition(converse(composition(X_563,X_562)),complement(converse(composition(top,converse(X_563))))) = composition(converse(X_562),composition(converse(X_563),complement(converse(composition(top,converse(X_563)))))),
inference(subst,[],[refute_1_58:[bind(X_390,$fot(X_562)),bind(X_400,$fot(X_563)),bind(X_401,$fot(complement(converse(composition(top,converse(X_563))))))]]) ).
cnf(refute_1_60,plain,
join(complement(top),composition(converse(X_473),complement(composition(X_473,top)))) = complement(top),
inference(subst,[],[refute_1_11:[bind(X0,$fot(X_473)),bind(X1,$fot(top))]]) ).
cnf(refute_1_61,plain,
zero = meet(X0,complement(X0)),
inference(canonicalize,[],[normalize_1_14]) ).
cnf(refute_1_62,plain,
zero = meet(join(complement(X_406),complement(X_407)),complement(join(complement(X_406),complement(X_407)))),
inference(subst,[],[refute_1_61:[bind(X0,$fot(join(complement(X_406),complement(X_407))))]]) ).
cnf(refute_1_63,plain,
meet(X0,X1) = complement(join(complement(X0),complement(X1))),
inference(canonicalize,[],[normalize_1_16]) ).
cnf(refute_1_64,plain,
meet(X_406,X_407) = complement(join(complement(X_406),complement(X_407))),
inference(subst,[],[refute_1_63:[bind(X0,$fot(X_406)),bind(X1,$fot(X_407))]]) ).
cnf(refute_1_65,plain,
( meet(X_406,X_407) != complement(join(complement(X_406),complement(X_407)))
| complement(join(complement(X_406),complement(X_407))) = meet(X_406,X_407) ),
inference(subst,[],[refute_1_5:[bind(X,$fot(meet(X_406,X_407))),bind(Y,$fot(complement(join(complement(X_406),complement(X_407)))))]]) ).
cnf(refute_1_66,plain,
complement(join(complement(X_406),complement(X_407))) = meet(X_406,X_407),
inference(resolve,[$cnf( $equal(meet(X_406,X_407),complement(join(complement(X_406),complement(X_407)))) )],[refute_1_64,refute_1_65]) ).
cnf(refute_1_67,plain,
( complement(join(complement(X_406),complement(X_407))) != meet(X_406,X_407)
| zero != meet(join(complement(X_406),complement(X_407)),complement(join(complement(X_406),complement(X_407))))
| zero = meet(join(complement(X_406),complement(X_407)),meet(X_406,X_407)) ),
introduced(tautology,[equality,[$cnf( $equal(zero,meet(join(complement(X_406),complement(X_407)),complement(join(complement(X_406),complement(X_407))))) ),[1,1],$fot(meet(X_406,X_407))]]) ).
cnf(refute_1_68,plain,
( zero != meet(join(complement(X_406),complement(X_407)),complement(join(complement(X_406),complement(X_407))))
| zero = meet(join(complement(X_406),complement(X_407)),meet(X_406,X_407)) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_406),complement(X_407))),meet(X_406,X_407)) )],[refute_1_66,refute_1_67]) ).
cnf(refute_1_69,plain,
zero = meet(join(complement(X_406),complement(X_407)),meet(X_406,X_407)),
inference(resolve,[$cnf( $equal(zero,meet(join(complement(X_406),complement(X_407)),complement(join(complement(X_406),complement(X_407))))) )],[refute_1_62,refute_1_68]) ).
cnf(refute_1_70,plain,
top = join(X0,complement(X0)),
inference(canonicalize,[],[normalize_1_18]) ).
cnf(refute_1_71,plain,
( top != join(X0,complement(X0))
| join(X0,complement(X0)) = top ),
inference(subst,[],[refute_1_5:[bind(X,$fot(top)),bind(Y,$fot(join(X0,complement(X0))))]]) ).
cnf(refute_1_72,plain,
join(X0,complement(X0)) = top,
inference(resolve,[$cnf( $equal(top,join(X0,complement(X0))) )],[refute_1_70,refute_1_71]) ).
cnf(refute_1_73,plain,
join(meet(X_406,X_407),complement(meet(X_406,X_407))) = top,
inference(subst,[],[refute_1_72:[bind(X0,$fot(meet(X_406,X_407)))]]) ).
cnf(refute_1_74,plain,
complement(join(meet(X_406,X_407),complement(meet(X_406,X_407)))) = complement(join(meet(X_406,X_407),complement(meet(X_406,X_407)))),
introduced(tautology,[refl,[$fot(complement(join(meet(X_406,X_407),complement(meet(X_406,X_407)))))]]) ).
cnf(refute_1_75,plain,
( complement(join(meet(X_406,X_407),complement(meet(X_406,X_407)))) != complement(join(meet(X_406,X_407),complement(meet(X_406,X_407))))
| join(meet(X_406,X_407),complement(meet(X_406,X_407))) != top
| complement(join(meet(X_406,X_407),complement(meet(X_406,X_407)))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(meet(X_406,X_407),complement(meet(X_406,X_407)))),complement(join(meet(X_406,X_407),complement(meet(X_406,X_407))))) ),[1,0],$fot(top)]]) ).
cnf(refute_1_76,plain,
( join(meet(X_406,X_407),complement(meet(X_406,X_407))) != top
| complement(join(meet(X_406,X_407),complement(meet(X_406,X_407)))) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(join(meet(X_406,X_407),complement(meet(X_406,X_407)))),complement(join(meet(X_406,X_407),complement(meet(X_406,X_407))))) )],[refute_1_74,refute_1_75]) ).
cnf(refute_1_77,plain,
complement(join(meet(X_406,X_407),complement(meet(X_406,X_407)))) = complement(top),
inference(resolve,[$cnf( $equal(join(meet(X_406,X_407),complement(meet(X_406,X_407))),top) )],[refute_1_73,refute_1_76]) ).
cnf(refute_1_78,plain,
meet(join(complement(X_406),complement(X_407)),X1) = complement(join(complement(join(complement(X_406),complement(X_407))),complement(X1))),
inference(subst,[],[refute_1_63:[bind(X0,$fot(join(complement(X_406),complement(X_407))))]]) ).
cnf(refute_1_79,plain,
( complement(join(complement(X_406),complement(X_407))) != meet(X_406,X_407)
| meet(join(complement(X_406),complement(X_407)),X1) != complement(join(complement(join(complement(X_406),complement(X_407))),complement(X1)))
| meet(join(complement(X_406),complement(X_407)),X1) = complement(join(meet(X_406,X_407),complement(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(complement(X_406),complement(X_407)),X1),complement(join(complement(join(complement(X_406),complement(X_407))),complement(X1)))) ),[1,0,0],$fot(meet(X_406,X_407))]]) ).
cnf(refute_1_80,plain,
( meet(join(complement(X_406),complement(X_407)),X1) != complement(join(complement(join(complement(X_406),complement(X_407))),complement(X1)))
| meet(join(complement(X_406),complement(X_407)),X1) = complement(join(meet(X_406,X_407),complement(X1))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_406),complement(X_407))),meet(X_406,X_407)) )],[refute_1_66,refute_1_79]) ).
cnf(refute_1_81,plain,
meet(join(complement(X_406),complement(X_407)),X1) = complement(join(meet(X_406,X_407),complement(X1))),
inference(resolve,[$cnf( $equal(meet(join(complement(X_406),complement(X_407)),X1),complement(join(complement(join(complement(X_406),complement(X_407))),complement(X1)))) )],[refute_1_78,refute_1_80]) ).
cnf(refute_1_82,plain,
meet(join(complement(X_406),complement(X_407)),meet(X_406,X_407)) = complement(join(meet(X_406,X_407),complement(meet(X_406,X_407)))),
inference(subst,[],[refute_1_81:[bind(X1,$fot(meet(X_406,X_407)))]]) ).
cnf(refute_1_83,plain,
( complement(join(meet(X_406,X_407),complement(meet(X_406,X_407)))) != complement(top)
| meet(join(complement(X_406),complement(X_407)),meet(X_406,X_407)) != complement(join(meet(X_406,X_407),complement(meet(X_406,X_407))))
| meet(join(complement(X_406),complement(X_407)),meet(X_406,X_407)) = complement(top) ),
inference(subst,[],[refute_1_52:[bind(X,$fot(meet(join(complement(X_406),complement(X_407)),meet(X_406,X_407)))),bind(Y,$fot(complement(join(meet(X_406,X_407),complement(meet(X_406,X_407)))))),bind(Z,$fot(complement(top)))]]) ).
cnf(refute_1_84,plain,
( complement(join(meet(X_406,X_407),complement(meet(X_406,X_407)))) != complement(top)
| meet(join(complement(X_406),complement(X_407)),meet(X_406,X_407)) = complement(top) ),
inference(resolve,[$cnf( $equal(meet(join(complement(X_406),complement(X_407)),meet(X_406,X_407)),complement(join(meet(X_406,X_407),complement(meet(X_406,X_407))))) )],[refute_1_82,refute_1_83]) ).
cnf(refute_1_85,plain,
meet(join(complement(X_406),complement(X_407)),meet(X_406,X_407)) = complement(top),
inference(resolve,[$cnf( $equal(complement(join(meet(X_406,X_407),complement(meet(X_406,X_407)))),complement(top)) )],[refute_1_77,refute_1_84]) ).
cnf(refute_1_86,plain,
( meet(join(complement(X_406),complement(X_407)),meet(X_406,X_407)) != complement(top)
| zero != meet(join(complement(X_406),complement(X_407)),meet(X_406,X_407))
| zero = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(zero,meet(join(complement(X_406),complement(X_407)),meet(X_406,X_407))) ),[1],$fot(complement(top))]]) ).
cnf(refute_1_87,plain,
( zero != meet(join(complement(X_406),complement(X_407)),meet(X_406,X_407))
| zero = complement(top) ),
inference(resolve,[$cnf( $equal(meet(join(complement(X_406),complement(X_407)),meet(X_406,X_407)),complement(top)) )],[refute_1_85,refute_1_86]) ).
cnf(refute_1_88,plain,
zero = complement(top),
inference(resolve,[$cnf( $equal(zero,meet(join(complement(X_406),complement(X_407)),meet(X_406,X_407))) )],[refute_1_69,refute_1_87]) ).
cnf(refute_1_89,plain,
( zero != complement(top)
| complement(top) = zero ),
inference(subst,[],[refute_1_5:[bind(X,$fot(zero)),bind(Y,$fot(complement(top)))]]) ).
cnf(refute_1_90,plain,
complement(top) = zero,
inference(resolve,[$cnf( $equal(zero,complement(top)) )],[refute_1_88,refute_1_89]) ).
cnf(refute_1_91,plain,
( complement(top) != zero
| join(complement(top),composition(converse(X_473),complement(composition(X_473,top)))) != complement(top)
| join(zero,composition(converse(X_473),complement(composition(X_473,top)))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),composition(converse(X_473),complement(composition(X_473,top)))),complement(top)) ),[0,0],$fot(zero)]]) ).
cnf(refute_1_92,plain,
( join(complement(top),composition(converse(X_473),complement(composition(X_473,top)))) != complement(top)
| join(zero,composition(converse(X_473),complement(composition(X_473,top)))) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_1_90,refute_1_91]) ).
cnf(refute_1_93,plain,
join(zero,composition(converse(X_473),complement(composition(X_473,top)))) = complement(top),
inference(resolve,[$cnf( $equal(join(complement(top),composition(converse(X_473),complement(composition(X_473,top)))),complement(top)) )],[refute_1_60,refute_1_92]) ).
cnf(refute_1_94,plain,
( complement(top) != zero
| join(zero,composition(converse(X_473),complement(composition(X_473,top)))) != complement(top)
| join(zero,composition(converse(X_473),complement(composition(X_473,top)))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,composition(converse(X_473),complement(composition(X_473,top)))),complement(top)) ),[1],$fot(zero)]]) ).
cnf(refute_1_95,plain,
( join(zero,composition(converse(X_473),complement(composition(X_473,top)))) != complement(top)
| join(zero,composition(converse(X_473),complement(composition(X_473,top)))) = zero ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_1_90,refute_1_94]) ).
cnf(refute_1_96,plain,
join(zero,composition(converse(X_473),complement(composition(X_473,top)))) = zero,
inference(resolve,[$cnf( $equal(join(zero,composition(converse(X_473),complement(composition(X_473,top)))),complement(top)) )],[refute_1_93,refute_1_95]) ).
cnf(refute_1_97,plain,
X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
inference(canonicalize,[],[normalize_1_20]) ).
cnf(refute_1_98,plain,
join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),
inference(subst,[],[refute_1_7:[bind(X0,$fot(complement(join(complement(X0),X1)))),bind(X1,$fot(complement(join(complement(X0),complement(X1)))))]]) ).
cnf(refute_1_99,plain,
( X0 != join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1)))
| join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) != join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1))))
| X0 = join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) ),
introduced(tautology,[equality,[$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_1_100,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( $equal(join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1))))) )],[refute_1_98,refute_1_99]) ).
cnf(refute_1_101,plain,
X0 = join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),
inference(resolve,[$cnf( $equal(X0,join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1)))) )],[refute_1_97,refute_1_100]) ).
cnf(refute_1_102,plain,
join(complement(join(complement(X0),X1)),meet(X0,X1)) = join(meet(X0,X1),complement(join(complement(X0),X1))),
inference(subst,[],[refute_1_7:[bind(X0,$fot(meet(X0,X1))),bind(X1,$fot(complement(join(complement(X0),X1))))]]) ).
cnf(refute_1_103,plain,
( meet(X0,X1) != complement(join(complement(X0),complement(X1)))
| complement(join(complement(X0),complement(X1))) = meet(X0,X1) ),
inference(subst,[],[refute_1_5:[bind(X,$fot(meet(X0,X1))),bind(Y,$fot(complement(join(complement(X0),complement(X1)))))]]) ).
cnf(refute_1_104,plain,
complement(join(complement(X0),complement(X1))) = meet(X0,X1),
inference(resolve,[$cnf( $equal(meet(X0,X1),complement(join(complement(X0),complement(X1)))) )],[refute_1_63,refute_1_103]) ).
cnf(refute_1_105,plain,
join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),
introduced(tautology,[refl,[$fot(join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))))]]) ).
cnf(refute_1_106,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_1_107,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( $equal(join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1))))) )],[refute_1_105,refute_1_106]) ).
cnf(refute_1_108,plain,
join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = join(complement(join(complement(X0),X1)),meet(X0,X1)),
inference(resolve,[$cnf( $equal(complement(join(complement(X0),complement(X1))),meet(X0,X1)) )],[refute_1_104,refute_1_107]) ).
cnf(refute_1_109,plain,
( join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) != join(complement(join(complement(X0),X1)),meet(X0,X1))
| join(complement(join(complement(X0),X1)),meet(X0,X1)) != join(meet(X0,X1),complement(join(complement(X0),X1)))
| join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = join(meet(X0,X1),complement(join(complement(X0),X1))) ),
inference(subst,[],[refute_1_52:[bind(X,$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_1_110,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( $equal(join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),join(complement(join(complement(X0),X1)),meet(X0,X1))) )],[refute_1_108,refute_1_109]) ).
cnf(refute_1_111,plain,
join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = join(meet(X0,X1),complement(join(complement(X0),X1))),
inference(resolve,[$cnf( $equal(join(complement(join(complement(X0),X1)),meet(X0,X1)),join(meet(X0,X1),complement(join(complement(X0),X1)))) )],[refute_1_102,refute_1_110]) ).
cnf(refute_1_112,plain,
( X0 != join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1))))
| join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) != join(meet(X0,X1),complement(join(complement(X0),X1)))
| X0 = join(meet(X0,X1),complement(join(complement(X0),X1))) ),
introduced(tautology,[equality,[$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_1_113,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( $equal(join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),join(meet(X0,X1),complement(join(complement(X0),X1)))) )],[refute_1_111,refute_1_112]) ).
cnf(refute_1_114,plain,
X0 = join(meet(X0,X1),complement(join(complement(X0),X1))),
inference(resolve,[$cnf( $equal(X0,join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1))))) )],[refute_1_101,refute_1_113]) ).
cnf(refute_1_115,plain,
X_417 = join(meet(X_417,top),complement(join(complement(X_417),top))),
inference(subst,[],[refute_1_114:[bind(X0,$fot(X_417)),bind(X1,$fot(top))]]) ).
cnf(refute_1_116,plain,
meet(X0,top) = complement(join(complement(X0),complement(top))),
inference(subst,[],[refute_1_63:[bind(X1,$fot(top))]]) ).
cnf(refute_1_117,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_1_118,plain,
( meet(X0,top) != complement(join(complement(X0),complement(top)))
| meet(X0,top) = complement(join(complement(X0),zero)) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_1_90,refute_1_117]) ).
cnf(refute_1_119,plain,
meet(X0,top) = complement(join(complement(X0),zero)),
inference(resolve,[$cnf( $equal(meet(X0,top),complement(join(complement(X0),complement(top)))) )],[refute_1_116,refute_1_118]) ).
cnf(refute_1_120,plain,
meet(top,X1) = complement(join(complement(top),complement(X1))),
inference(subst,[],[refute_1_63:[bind(X0,$fot(top))]]) ).
cnf(refute_1_121,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_1_122,plain,
( meet(top,X1) != complement(join(complement(top),complement(X1)))
| meet(top,X1) = complement(join(zero,complement(X1))) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_1_90,refute_1_121]) ).
cnf(refute_1_123,plain,
meet(top,X1) = complement(join(zero,complement(X1))),
inference(resolve,[$cnf( $equal(meet(top,X1),complement(join(complement(top),complement(X1)))) )],[refute_1_120,refute_1_122]) ).
cnf(refute_1_124,plain,
( meet(top,X1) != complement(join(zero,complement(X1)))
| complement(join(zero,complement(X1))) = meet(top,X1) ),
inference(subst,[],[refute_1_5:[bind(X,$fot(meet(top,X1))),bind(Y,$fot(complement(join(zero,complement(X1)))))]]) ).
cnf(refute_1_125,plain,
complement(join(zero,complement(X1))) = meet(top,X1),
inference(resolve,[$cnf( $equal(meet(top,X1),complement(join(zero,complement(X1)))) )],[refute_1_123,refute_1_124]) ).
cnf(refute_1_126,plain,
complement(join(zero,complement(X0))) = meet(top,X0),
inference(subst,[],[refute_1_125:[bind(X1,$fot(X0))]]) ).
cnf(refute_1_127,plain,
join(complement(X0),zero) = join(zero,complement(X0)),
inference(subst,[],[refute_1_7:[bind(X0,$fot(zero)),bind(X1,$fot(complement(X0)))]]) ).
cnf(refute_1_128,plain,
complement(join(complement(X0),zero)) = complement(join(complement(X0),zero)),
introduced(tautology,[refl,[$fot(complement(join(complement(X0),zero)))]]) ).
cnf(refute_1_129,plain,
( complement(join(complement(X0),zero)) != complement(join(complement(X0),zero))
| join(complement(X0),zero) != join(zero,complement(X0))
| complement(join(complement(X0),zero)) = complement(join(zero,complement(X0))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(X0),zero)),complement(join(complement(X0),zero))) ),[1,0],$fot(join(zero,complement(X0)))]]) ).
cnf(refute_1_130,plain,
( join(complement(X0),zero) != join(zero,complement(X0))
| complement(join(complement(X0),zero)) = complement(join(zero,complement(X0))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X0),zero)),complement(join(complement(X0),zero))) )],[refute_1_128,refute_1_129]) ).
cnf(refute_1_131,plain,
complement(join(complement(X0),zero)) = complement(join(zero,complement(X0))),
inference(resolve,[$cnf( $equal(join(complement(X0),zero),join(zero,complement(X0))) )],[refute_1_127,refute_1_130]) ).
cnf(refute_1_132,plain,
( complement(join(complement(X0),zero)) != complement(join(zero,complement(X0)))
| complement(join(zero,complement(X0))) != meet(top,X0)
| complement(join(complement(X0),zero)) = meet(top,X0) ),
inference(subst,[],[refute_1_52:[bind(X,$fot(complement(join(complement(X0),zero)))),bind(Y,$fot(complement(join(zero,complement(X0))))),bind(Z,$fot(meet(top,X0)))]]) ).
cnf(refute_1_133,plain,
( complement(join(zero,complement(X0))) != meet(top,X0)
| complement(join(complement(X0),zero)) = meet(top,X0) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X0),zero)),complement(join(zero,complement(X0)))) )],[refute_1_131,refute_1_132]) ).
cnf(refute_1_134,plain,
complement(join(complement(X0),zero)) = meet(top,X0),
inference(resolve,[$cnf( $equal(complement(join(zero,complement(X0))),meet(top,X0)) )],[refute_1_126,refute_1_133]) ).
cnf(refute_1_135,plain,
( complement(join(complement(X0),zero)) != meet(top,X0)
| meet(X0,top) != complement(join(complement(X0),zero))
| meet(X0,top) = meet(top,X0) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X0,top),complement(join(complement(X0),zero))) ),[1],$fot(meet(top,X0))]]) ).
cnf(refute_1_136,plain,
( meet(X0,top) != complement(join(complement(X0),zero))
| meet(X0,top) = meet(top,X0) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X0),zero)),meet(top,X0)) )],[refute_1_134,refute_1_135]) ).
cnf(refute_1_137,plain,
meet(X0,top) = meet(top,X0),
inference(resolve,[$cnf( $equal(meet(X0,top),complement(join(complement(X0),zero))) )],[refute_1_119,refute_1_136]) ).
cnf(refute_1_138,plain,
meet(X_417,top) = meet(top,X_417),
inference(subst,[],[refute_1_137:[bind(X0,$fot(X_417))]]) ).
cnf(refute_1_139,plain,
( X_417 != join(meet(X_417,top),complement(join(complement(X_417),top)))
| meet(X_417,top) != meet(top,X_417)
| X_417 = join(meet(top,X_417),complement(join(complement(X_417),top))) ),
introduced(tautology,[equality,[$cnf( $equal(X_417,join(meet(X_417,top),complement(join(complement(X_417),top)))) ),[1,0],$fot(meet(top,X_417))]]) ).
cnf(refute_1_140,plain,
( X_417 != join(meet(X_417,top),complement(join(complement(X_417),top)))
| X_417 = join(meet(top,X_417),complement(join(complement(X_417),top))) ),
inference(resolve,[$cnf( $equal(meet(X_417,top),meet(top,X_417)) )],[refute_1_138,refute_1_139]) ).
cnf(refute_1_141,plain,
X_417 = join(meet(top,X_417),complement(join(complement(X_417),top))),
inference(resolve,[$cnf( $equal(X_417,join(meet(X_417,top),complement(join(complement(X_417),top)))) )],[refute_1_115,refute_1_140]) ).
cnf(refute_1_142,plain,
join(complement(X_417),top) = join(top,complement(X_417)),
inference(subst,[],[refute_1_7:[bind(X0,$fot(top)),bind(X1,$fot(complement(X_417)))]]) ).
cnf(refute_1_143,plain,
complement(join(complement(X_417),top)) = complement(join(complement(X_417),top)),
introduced(tautology,[refl,[$fot(complement(join(complement(X_417),top)))]]) ).
cnf(refute_1_144,plain,
( complement(join(complement(X_417),top)) != complement(join(complement(X_417),top))
| join(complement(X_417),top) != join(top,complement(X_417))
| complement(join(complement(X_417),top)) = complement(join(top,complement(X_417))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(X_417),top)),complement(join(complement(X_417),top))) ),[1,0],$fot(join(top,complement(X_417)))]]) ).
cnf(refute_1_145,plain,
( join(complement(X_417),top) != join(top,complement(X_417))
| complement(join(complement(X_417),top)) = complement(join(top,complement(X_417))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_417),top)),complement(join(complement(X_417),top))) )],[refute_1_143,refute_1_144]) ).
cnf(refute_1_146,plain,
complement(join(complement(X_417),top)) = complement(join(top,complement(X_417))),
inference(resolve,[$cnf( $equal(join(complement(X_417),top),join(top,complement(X_417))) )],[refute_1_142,refute_1_145]) ).
cnf(refute_1_147,plain,
join(meet(top,X_417),complement(join(complement(X_417),top))) = join(meet(top,X_417),complement(join(complement(X_417),top))),
introduced(tautology,[refl,[$fot(join(meet(top,X_417),complement(join(complement(X_417),top))))]]) ).
cnf(refute_1_148,plain,
( complement(join(complement(X_417),top)) != complement(join(top,complement(X_417)))
| join(meet(top,X_417),complement(join(complement(X_417),top))) != join(meet(top,X_417),complement(join(complement(X_417),top)))
| join(meet(top,X_417),complement(join(complement(X_417),top))) = join(meet(top,X_417),complement(join(top,complement(X_417)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(top,X_417),complement(join(complement(X_417),top))),join(meet(top,X_417),complement(join(complement(X_417),top)))) ),[1,1],$fot(complement(join(top,complement(X_417))))]]) ).
cnf(refute_1_149,plain,
( complement(join(complement(X_417),top)) != complement(join(top,complement(X_417)))
| join(meet(top,X_417),complement(join(complement(X_417),top))) = join(meet(top,X_417),complement(join(top,complement(X_417)))) ),
inference(resolve,[$cnf( $equal(join(meet(top,X_417),complement(join(complement(X_417),top))),join(meet(top,X_417),complement(join(complement(X_417),top)))) )],[refute_1_147,refute_1_148]) ).
cnf(refute_1_150,plain,
join(meet(top,X_417),complement(join(complement(X_417),top))) = join(meet(top,X_417),complement(join(top,complement(X_417)))),
inference(resolve,[$cnf( $equal(complement(join(complement(X_417),top)),complement(join(top,complement(X_417)))) )],[refute_1_146,refute_1_149]) ).
cnf(refute_1_151,plain,
( X_417 != join(meet(top,X_417),complement(join(complement(X_417),top)))
| join(meet(top,X_417),complement(join(complement(X_417),top))) != join(meet(top,X_417),complement(join(top,complement(X_417))))
| X_417 = join(meet(top,X_417),complement(join(top,complement(X_417)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_417,join(meet(top,X_417),complement(join(top,complement(X_417))))) ),[0],$fot(join(meet(top,X_417),complement(join(complement(X_417),top))))]]) ).
cnf(refute_1_152,plain,
( X_417 != join(meet(top,X_417),complement(join(complement(X_417),top)))
| X_417 = join(meet(top,X_417),complement(join(top,complement(X_417)))) ),
inference(resolve,[$cnf( $equal(join(meet(top,X_417),complement(join(complement(X_417),top))),join(meet(top,X_417),complement(join(top,complement(X_417))))) )],[refute_1_150,refute_1_151]) ).
cnf(refute_1_153,plain,
X_417 = join(meet(top,X_417),complement(join(top,complement(X_417)))),
inference(resolve,[$cnf( $equal(X_417,join(meet(top,X_417),complement(join(complement(X_417),top)))) )],[refute_1_141,refute_1_152]) ).
cnf(refute_1_154,plain,
meet(zero,X1) = complement(join(complement(zero),complement(X1))),
inference(subst,[],[refute_1_63:[bind(X0,$fot(zero))]]) ).
cnf(refute_1_155,plain,
X_417 = join(meet(X_417,join(zero,meet(X_417,top))),complement(join(complement(X_417),join(zero,meet(X_417,top))))),
inference(subst,[],[refute_1_114:[bind(X0,$fot(X_417)),bind(X1,$fot(join(zero,meet(X_417,top))))]]) ).
cnf(refute_1_156,plain,
top = join(join(complement(X_406),complement(X_407)),complement(join(complement(X_406),complement(X_407)))),
inference(subst,[],[refute_1_70:[bind(X0,$fot(join(complement(X_406),complement(X_407))))]]) ).
cnf(refute_1_157,plain,
( complement(join(complement(X_406),complement(X_407))) != meet(X_406,X_407)
| top != join(join(complement(X_406),complement(X_407)),complement(join(complement(X_406),complement(X_407))))
| top = join(join(complement(X_406),complement(X_407)),meet(X_406,X_407)) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(join(complement(X_406),complement(X_407)),complement(join(complement(X_406),complement(X_407))))) ),[1,1],$fot(meet(X_406,X_407))]]) ).
cnf(refute_1_158,plain,
( top != join(join(complement(X_406),complement(X_407)),complement(join(complement(X_406),complement(X_407))))
| top = join(join(complement(X_406),complement(X_407)),meet(X_406,X_407)) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_406),complement(X_407))),meet(X_406,X_407)) )],[refute_1_66,refute_1_157]) ).
cnf(refute_1_159,plain,
top = join(join(complement(X_406),complement(X_407)),meet(X_406,X_407)),
inference(resolve,[$cnf( $equal(top,join(join(complement(X_406),complement(X_407)),complement(join(complement(X_406),complement(X_407))))) )],[refute_1_156,refute_1_158]) ).
cnf(refute_1_160,plain,
join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(canonicalize,[],[normalize_1_22]) ).
cnf(refute_1_161,plain,
( join(X0,join(X1,X2)) != join(join(X0,X1),X2)
| join(join(X0,X1),X2) = join(X0,join(X1,X2)) ),
inference(subst,[],[refute_1_5:[bind(X,$fot(join(X0,join(X1,X2)))),bind(Y,$fot(join(join(X0,X1),X2)))]]) ).
cnf(refute_1_162,plain,
join(join(X0,X1),X2) = join(X0,join(X1,X2)),
inference(resolve,[$cnf( $equal(join(X0,join(X1,X2)),join(join(X0,X1),X2)) )],[refute_1_160,refute_1_161]) ).
cnf(refute_1_163,plain,
join(join(complement(X_406),complement(X_407)),meet(X_406,X_407)) = join(complement(X_406),join(complement(X_407),meet(X_406,X_407))),
inference(subst,[],[refute_1_162:[bind(X0,$fot(complement(X_406))),bind(X1,$fot(complement(X_407))),bind(X2,$fot(meet(X_406,X_407)))]]) ).
cnf(refute_1_164,plain,
( join(join(complement(X_406),complement(X_407)),meet(X_406,X_407)) != join(complement(X_406),join(complement(X_407),meet(X_406,X_407)))
| top != join(join(complement(X_406),complement(X_407)),meet(X_406,X_407))
| top = join(complement(X_406),join(complement(X_407),meet(X_406,X_407))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(join(complement(X_406),complement(X_407)),meet(X_406,X_407))) ),[1],$fot(join(complement(X_406),join(complement(X_407),meet(X_406,X_407))))]]) ).
cnf(refute_1_165,plain,
( top != join(join(complement(X_406),complement(X_407)),meet(X_406,X_407))
| top = join(complement(X_406),join(complement(X_407),meet(X_406,X_407))) ),
inference(resolve,[$cnf( $equal(join(join(complement(X_406),complement(X_407)),meet(X_406,X_407)),join(complement(X_406),join(complement(X_407),meet(X_406,X_407)))) )],[refute_1_163,refute_1_164]) ).
cnf(refute_1_166,plain,
top = join(complement(X_406),join(complement(X_407),meet(X_406,X_407))),
inference(resolve,[$cnf( $equal(top,join(join(complement(X_406),complement(X_407)),meet(X_406,X_407))) )],[refute_1_159,refute_1_165]) ).
cnf(refute_1_167,plain,
top = join(complement(X_412),join(complement(top),meet(X_412,top))),
inference(subst,[],[refute_1_166:[bind(X_406,$fot(X_412)),bind(X_407,$fot(top))]]) ).
cnf(refute_1_168,plain,
( complement(top) != zero
| top != join(complement(X_412),join(complement(top),meet(X_412,top)))
| top = join(complement(X_412),join(zero,meet(X_412,top))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(X_412),join(complement(top),meet(X_412,top)))) ),[1,1,0],$fot(zero)]]) ).
cnf(refute_1_169,plain,
( top != join(complement(X_412),join(complement(top),meet(X_412,top)))
| top = join(complement(X_412),join(zero,meet(X_412,top))) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_1_90,refute_1_168]) ).
cnf(refute_1_170,plain,
top = join(complement(X_412),join(zero,meet(X_412,top))),
inference(resolve,[$cnf( $equal(top,join(complement(X_412),join(complement(top),meet(X_412,top)))) )],[refute_1_167,refute_1_169]) ).
cnf(refute_1_171,plain,
top = join(complement(X_417),join(zero,meet(X_417,top))),
inference(subst,[],[refute_1_170:[bind(X_412,$fot(X_417))]]) ).
cnf(refute_1_172,plain,
( top != join(complement(X_417),join(zero,meet(X_417,top)))
| join(complement(X_417),join(zero,meet(X_417,top))) = top ),
inference(subst,[],[refute_1_5:[bind(X,$fot(top)),bind(Y,$fot(join(complement(X_417),join(zero,meet(X_417,top)))))]]) ).
cnf(refute_1_173,plain,
join(complement(X_417),join(zero,meet(X_417,top))) = top,
inference(resolve,[$cnf( $equal(top,join(complement(X_417),join(zero,meet(X_417,top)))) )],[refute_1_171,refute_1_172]) ).
cnf(refute_1_174,plain,
( X_417 != join(meet(X_417,join(zero,meet(X_417,top))),complement(join(complement(X_417),join(zero,meet(X_417,top)))))
| join(complement(X_417),join(zero,meet(X_417,top))) != top
| X_417 = join(meet(X_417,join(zero,meet(X_417,top))),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(X_417,join(meet(X_417,join(zero,meet(X_417,top))),complement(join(complement(X_417),join(zero,meet(X_417,top)))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_1_175,plain,
( X_417 != join(meet(X_417,join(zero,meet(X_417,top))),complement(join(complement(X_417),join(zero,meet(X_417,top)))))
| X_417 = join(meet(X_417,join(zero,meet(X_417,top))),complement(top)) ),
inference(resolve,[$cnf( $equal(join(complement(X_417),join(zero,meet(X_417,top))),top) )],[refute_1_173,refute_1_174]) ).
cnf(refute_1_176,plain,
X_417 = join(meet(X_417,join(zero,meet(X_417,top))),complement(top)),
inference(resolve,[$cnf( $equal(X_417,join(meet(X_417,join(zero,meet(X_417,top))),complement(join(complement(X_417),join(zero,meet(X_417,top)))))) )],[refute_1_155,refute_1_175]) ).
cnf(refute_1_177,plain,
join(complement(top),meet(X_417,join(zero,meet(X_417,top)))) = join(complement(top),meet(X_417,join(zero,meet(X_417,top)))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(X_417,join(zero,meet(X_417,top)))))]]) ).
cnf(refute_1_178,plain,
( complement(top) != zero
| join(complement(top),meet(X_417,join(zero,meet(X_417,top)))) != join(complement(top),meet(X_417,join(zero,meet(X_417,top))))
| join(complement(top),meet(X_417,join(zero,meet(X_417,top)))) = join(zero,meet(X_417,join(zero,meet(X_417,top)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(X_417,join(zero,meet(X_417,top)))),join(complement(top),meet(X_417,join(zero,meet(X_417,top))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_1_179,plain,
( complement(top) != zero
| join(complement(top),meet(X_417,join(zero,meet(X_417,top)))) = join(zero,meet(X_417,join(zero,meet(X_417,top)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_417,join(zero,meet(X_417,top)))),join(complement(top),meet(X_417,join(zero,meet(X_417,top))))) )],[refute_1_177,refute_1_178]) ).
cnf(refute_1_180,plain,
join(complement(top),meet(X_417,join(zero,meet(X_417,top)))) = join(zero,meet(X_417,join(zero,meet(X_417,top)))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_1_90,refute_1_179]) ).
cnf(refute_1_181,plain,
join(meet(X_417,join(zero,meet(X_417,top))),complement(top)) = join(complement(top),meet(X_417,join(zero,meet(X_417,top)))),
inference(subst,[],[refute_1_7:[bind(X0,$fot(complement(top))),bind(X1,$fot(meet(X_417,join(zero,meet(X_417,top)))))]]) ).
cnf(refute_1_182,plain,
( join(complement(top),meet(X_417,join(zero,meet(X_417,top)))) != join(zero,meet(X_417,join(zero,meet(X_417,top))))
| join(meet(X_417,join(zero,meet(X_417,top))),complement(top)) != join(complement(top),meet(X_417,join(zero,meet(X_417,top))))
| join(meet(X_417,join(zero,meet(X_417,top))),complement(top)) = join(zero,meet(X_417,join(zero,meet(X_417,top)))) ),
inference(subst,[],[refute_1_52:[bind(X,$fot(join(meet(X_417,join(zero,meet(X_417,top))),complement(top)))),bind(Y,$fot(join(complement(top),meet(X_417,join(zero,meet(X_417,top)))))),bind(Z,$fot(join(zero,meet(X_417,join(zero,meet(X_417,top))))))]]) ).
cnf(refute_1_183,plain,
( join(complement(top),meet(X_417,join(zero,meet(X_417,top)))) != join(zero,meet(X_417,join(zero,meet(X_417,top))))
| join(meet(X_417,join(zero,meet(X_417,top))),complement(top)) = join(zero,meet(X_417,join(zero,meet(X_417,top)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_417,join(zero,meet(X_417,top))),complement(top)),join(complement(top),meet(X_417,join(zero,meet(X_417,top))))) )],[refute_1_181,refute_1_182]) ).
cnf(refute_1_184,plain,
join(meet(X_417,join(zero,meet(X_417,top))),complement(top)) = join(zero,meet(X_417,join(zero,meet(X_417,top)))),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_417,join(zero,meet(X_417,top)))),join(zero,meet(X_417,join(zero,meet(X_417,top))))) )],[refute_1_180,refute_1_183]) ).
cnf(refute_1_185,plain,
( X_417 != join(meet(X_417,join(zero,meet(X_417,top))),complement(top))
| join(meet(X_417,join(zero,meet(X_417,top))),complement(top)) != join(zero,meet(X_417,join(zero,meet(X_417,top))))
| X_417 = join(zero,meet(X_417,join(zero,meet(X_417,top)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_417,join(zero,meet(X_417,join(zero,meet(X_417,top))))) ),[0],$fot(join(meet(X_417,join(zero,meet(X_417,top))),complement(top)))]]) ).
cnf(refute_1_186,plain,
( X_417 != join(meet(X_417,join(zero,meet(X_417,top))),complement(top))
| X_417 = join(zero,meet(X_417,join(zero,meet(X_417,top)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_417,join(zero,meet(X_417,top))),complement(top)),join(zero,meet(X_417,join(zero,meet(X_417,top))))) )],[refute_1_184,refute_1_185]) ).
cnf(refute_1_187,plain,
X_417 = join(zero,meet(X_417,join(zero,meet(X_417,top)))),
inference(resolve,[$cnf( $equal(X_417,join(meet(X_417,join(zero,meet(X_417,top))),complement(top))) )],[refute_1_176,refute_1_186]) ).
cnf(refute_1_188,plain,
X_422 = join(zero,meet(X_422,join(zero,meet(X_422,top)))),
inference(subst,[],[refute_1_187:[bind(X_417,$fot(X_422))]]) ).
cnf(refute_1_189,plain,
join(complement(X_407),complement(X_406)) = join(complement(X_406),complement(X_407)),
inference(subst,[],[refute_1_2:[bind(X0,$fot(complement(X_407))),bind(X1,$fot(complement(X_406)))]]) ).
cnf(refute_1_190,plain,
( join(complement(X_407),complement(X_406)) != join(complement(X_406),complement(X_407))
| join(complement(X_406),complement(X_407)) = join(complement(X_407),complement(X_406)) ),
inference(subst,[],[refute_1_5:[bind(X,$fot(join(complement(X_407),complement(X_406)))),bind(Y,$fot(join(complement(X_406),complement(X_407))))]]) ).
cnf(refute_1_191,plain,
join(complement(X_406),complement(X_407)) = join(complement(X_407),complement(X_406)),
inference(resolve,[$cnf( $equal(join(complement(X_407),complement(X_406)),join(complement(X_406),complement(X_407))) )],[refute_1_189,refute_1_190]) ).
cnf(refute_1_192,plain,
( join(complement(X_406),complement(X_407)) != join(complement(X_407),complement(X_406))
| meet(X_406,X_407) != complement(join(complement(X_406),complement(X_407)))
| meet(X_406,X_407) = complement(join(complement(X_407),complement(X_406))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_406,X_407),complement(join(complement(X_406),complement(X_407)))) ),[1,0],$fot(join(complement(X_407),complement(X_406)))]]) ).
cnf(refute_1_193,plain,
( meet(X_406,X_407) != complement(join(complement(X_406),complement(X_407)))
| meet(X_406,X_407) = complement(join(complement(X_407),complement(X_406))) ),
inference(resolve,[$cnf( $equal(join(complement(X_406),complement(X_407)),join(complement(X_407),complement(X_406))) )],[refute_1_191,refute_1_192]) ).
cnf(refute_1_194,plain,
meet(X_406,X_407) = complement(join(complement(X_407),complement(X_406))),
inference(resolve,[$cnf( $equal(meet(X_406,X_407),complement(join(complement(X_406),complement(X_407)))) )],[refute_1_64,refute_1_193]) ).
cnf(refute_1_195,plain,
complement(join(complement(X_407),complement(X_406))) = meet(X_407,X_406),
inference(subst,[],[refute_1_104:[bind(X0,$fot(X_407)),bind(X1,$fot(X_406))]]) ).
cnf(refute_1_196,plain,
( complement(join(complement(X_407),complement(X_406))) != meet(X_407,X_406)
| meet(X_406,X_407) != complement(join(complement(X_407),complement(X_406)))
| meet(X_406,X_407) = meet(X_407,X_406) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_406,X_407),complement(join(complement(X_407),complement(X_406)))) ),[1],$fot(meet(X_407,X_406))]]) ).
cnf(refute_1_197,plain,
( meet(X_406,X_407) != complement(join(complement(X_407),complement(X_406)))
| meet(X_406,X_407) = meet(X_407,X_406) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_407),complement(X_406))),meet(X_407,X_406)) )],[refute_1_195,refute_1_196]) ).
cnf(refute_1_198,plain,
meet(X_406,X_407) = meet(X_407,X_406),
inference(resolve,[$cnf( $equal(meet(X_406,X_407),complement(join(complement(X_407),complement(X_406)))) )],[refute_1_194,refute_1_197]) ).
cnf(refute_1_199,plain,
meet(top,X_422) = meet(X_422,top),
inference(subst,[],[refute_1_198:[bind(X_406,$fot(top)),bind(X_407,$fot(X_422))]]) ).
cnf(refute_1_200,plain,
( meet(top,X_422) != meet(X_422,top)
| meet(X_422,top) = meet(top,X_422) ),
inference(subst,[],[refute_1_5:[bind(X,$fot(meet(top,X_422))),bind(Y,$fot(meet(X_422,top)))]]) ).
cnf(refute_1_201,plain,
meet(X_422,top) = meet(top,X_422),
inference(resolve,[$cnf( $equal(meet(top,X_422),meet(X_422,top)) )],[refute_1_199,refute_1_200]) ).
cnf(refute_1_202,plain,
( X_422 != join(zero,meet(X_422,join(zero,meet(X_422,top))))
| meet(X_422,top) != meet(top,X_422)
| X_422 = join(zero,meet(X_422,join(zero,meet(top,X_422)))) ),
introduced(tautology,[equality,[$cnf( $equal(X_422,join(zero,meet(X_422,join(zero,meet(X_422,top))))) ),[1,1,1,1],$fot(meet(top,X_422))]]) ).
cnf(refute_1_203,plain,
( X_422 != join(zero,meet(X_422,join(zero,meet(X_422,top))))
| X_422 = join(zero,meet(X_422,join(zero,meet(top,X_422)))) ),
inference(resolve,[$cnf( $equal(meet(X_422,top),meet(top,X_422)) )],[refute_1_201,refute_1_202]) ).
cnf(refute_1_204,plain,
X_422 = join(zero,meet(X_422,join(zero,meet(top,X_422)))),
inference(resolve,[$cnf( $equal(X_422,join(zero,meet(X_422,join(zero,meet(X_422,top))))) )],[refute_1_188,refute_1_203]) ).
cnf(refute_1_205,plain,
complement(complement(top)) = join(zero,meet(complement(complement(top)),join(zero,meet(top,complement(complement(top)))))),
inference(subst,[],[refute_1_204:[bind(X_422,$fot(complement(complement(top))))]]) ).
cnf(refute_1_206,plain,
X_417 = join(meet(X_417,complement(complement(X_417))),complement(join(complement(X_417),complement(complement(X_417))))),
inference(subst,[],[refute_1_114:[bind(X0,$fot(X_417)),bind(X1,$fot(complement(complement(X_417))))]]) ).
cnf(refute_1_207,plain,
top = join(complement(X_417),complement(complement(X_417))),
inference(subst,[],[refute_1_70:[bind(X0,$fot(complement(X_417)))]]) ).
cnf(refute_1_208,plain,
( top != join(complement(X_417),complement(complement(X_417)))
| join(complement(X_417),complement(complement(X_417))) = top ),
inference(subst,[],[refute_1_5:[bind(X,$fot(top)),bind(Y,$fot(join(complement(X_417),complement(complement(X_417)))))]]) ).
cnf(refute_1_209,plain,
join(complement(X_417),complement(complement(X_417))) = top,
inference(resolve,[$cnf( $equal(top,join(complement(X_417),complement(complement(X_417)))) )],[refute_1_207,refute_1_208]) ).
cnf(refute_1_210,plain,
( X_417 != join(meet(X_417,complement(complement(X_417))),complement(join(complement(X_417),complement(complement(X_417)))))
| join(complement(X_417),complement(complement(X_417))) != top
| X_417 = join(meet(X_417,complement(complement(X_417))),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(X_417,join(meet(X_417,complement(complement(X_417))),complement(join(complement(X_417),complement(complement(X_417)))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_1_211,plain,
( X_417 != join(meet(X_417,complement(complement(X_417))),complement(join(complement(X_417),complement(complement(X_417)))))
| X_417 = join(meet(X_417,complement(complement(X_417))),complement(top)) ),
inference(resolve,[$cnf( $equal(join(complement(X_417),complement(complement(X_417))),top) )],[refute_1_209,refute_1_210]) ).
cnf(refute_1_212,plain,
X_417 = join(meet(X_417,complement(complement(X_417))),complement(top)),
inference(resolve,[$cnf( $equal(X_417,join(meet(X_417,complement(complement(X_417))),complement(join(complement(X_417),complement(complement(X_417)))))) )],[refute_1_206,refute_1_211]) ).
cnf(refute_1_213,plain,
join(complement(top),meet(X_417,complement(complement(X_417)))) = join(complement(top),meet(X_417,complement(complement(X_417)))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(X_417,complement(complement(X_417)))))]]) ).
cnf(refute_1_214,plain,
( complement(top) != zero
| join(complement(top),meet(X_417,complement(complement(X_417)))) != join(complement(top),meet(X_417,complement(complement(X_417))))
| join(complement(top),meet(X_417,complement(complement(X_417)))) = join(zero,meet(X_417,complement(complement(X_417)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(X_417,complement(complement(X_417)))),join(complement(top),meet(X_417,complement(complement(X_417))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_1_215,plain,
( complement(top) != zero
| join(complement(top),meet(X_417,complement(complement(X_417)))) = join(zero,meet(X_417,complement(complement(X_417)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_417,complement(complement(X_417)))),join(complement(top),meet(X_417,complement(complement(X_417))))) )],[refute_1_213,refute_1_214]) ).
cnf(refute_1_216,plain,
join(complement(top),meet(X_417,complement(complement(X_417)))) = join(zero,meet(X_417,complement(complement(X_417)))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_1_90,refute_1_215]) ).
cnf(refute_1_217,plain,
join(meet(X_417,complement(complement(X_417))),complement(top)) = join(complement(top),meet(X_417,complement(complement(X_417)))),
inference(subst,[],[refute_1_7:[bind(X0,$fot(complement(top))),bind(X1,$fot(meet(X_417,complement(complement(X_417)))))]]) ).
cnf(refute_1_218,plain,
( join(complement(top),meet(X_417,complement(complement(X_417)))) != join(zero,meet(X_417,complement(complement(X_417))))
| join(meet(X_417,complement(complement(X_417))),complement(top)) != join(complement(top),meet(X_417,complement(complement(X_417))))
| join(meet(X_417,complement(complement(X_417))),complement(top)) = join(zero,meet(X_417,complement(complement(X_417)))) ),
inference(subst,[],[refute_1_52:[bind(X,$fot(join(meet(X_417,complement(complement(X_417))),complement(top)))),bind(Y,$fot(join(complement(top),meet(X_417,complement(complement(X_417)))))),bind(Z,$fot(join(zero,meet(X_417,complement(complement(X_417))))))]]) ).
cnf(refute_1_219,plain,
( join(complement(top),meet(X_417,complement(complement(X_417)))) != join(zero,meet(X_417,complement(complement(X_417))))
| join(meet(X_417,complement(complement(X_417))),complement(top)) = join(zero,meet(X_417,complement(complement(X_417)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_417,complement(complement(X_417))),complement(top)),join(complement(top),meet(X_417,complement(complement(X_417))))) )],[refute_1_217,refute_1_218]) ).
cnf(refute_1_220,plain,
join(meet(X_417,complement(complement(X_417))),complement(top)) = join(zero,meet(X_417,complement(complement(X_417)))),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_417,complement(complement(X_417)))),join(zero,meet(X_417,complement(complement(X_417))))) )],[refute_1_216,refute_1_219]) ).
cnf(refute_1_221,plain,
( X_417 != join(meet(X_417,complement(complement(X_417))),complement(top))
| join(meet(X_417,complement(complement(X_417))),complement(top)) != join(zero,meet(X_417,complement(complement(X_417))))
| X_417 = join(zero,meet(X_417,complement(complement(X_417)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_417,join(zero,meet(X_417,complement(complement(X_417))))) ),[0],$fot(join(meet(X_417,complement(complement(X_417))),complement(top)))]]) ).
cnf(refute_1_222,plain,
( X_417 != join(meet(X_417,complement(complement(X_417))),complement(top))
| X_417 = join(zero,meet(X_417,complement(complement(X_417)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_417,complement(complement(X_417))),complement(top)),join(zero,meet(X_417,complement(complement(X_417))))) )],[refute_1_220,refute_1_221]) ).
cnf(refute_1_223,plain,
X_417 = join(zero,meet(X_417,complement(complement(X_417)))),
inference(resolve,[$cnf( $equal(X_417,join(meet(X_417,complement(complement(X_417))),complement(top))) )],[refute_1_212,refute_1_222]) ).
cnf(refute_1_224,plain,
top = join(zero,meet(top,complement(complement(top)))),
inference(subst,[],[refute_1_223:[bind(X_417,$fot(top))]]) ).
cnf(refute_1_225,plain,
( top != join(zero,meet(top,complement(complement(top))))
| join(zero,meet(top,complement(complement(top)))) = top ),
inference(subst,[],[refute_1_5:[bind(X,$fot(top)),bind(Y,$fot(join(zero,meet(top,complement(complement(top))))))]]) ).
cnf(refute_1_226,plain,
join(zero,meet(top,complement(complement(top)))) = top,
inference(resolve,[$cnf( $equal(top,join(zero,meet(top,complement(complement(top))))) )],[refute_1_224,refute_1_225]) ).
cnf(refute_1_227,plain,
( complement(complement(top)) != join(zero,meet(complement(complement(top)),join(zero,meet(top,complement(complement(top))))))
| join(zero,meet(top,complement(complement(top)))) != top
| complement(complement(top)) = join(zero,meet(complement(complement(top)),top)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(top)),join(zero,meet(complement(complement(top)),join(zero,meet(top,complement(complement(top))))))) ),[1,1,1],$fot(top)]]) ).
cnf(refute_1_228,plain,
( complement(complement(top)) != join(zero,meet(complement(complement(top)),join(zero,meet(top,complement(complement(top))))))
| complement(complement(top)) = join(zero,meet(complement(complement(top)),top)) ),
inference(resolve,[$cnf( $equal(join(zero,meet(top,complement(complement(top)))),top) )],[refute_1_226,refute_1_227]) ).
cnf(refute_1_229,plain,
complement(complement(top)) = join(zero,meet(complement(complement(top)),top)),
inference(resolve,[$cnf( $equal(complement(complement(top)),join(zero,meet(complement(complement(top)),join(zero,meet(top,complement(complement(top))))))) )],[refute_1_205,refute_1_228]) ).
cnf(refute_1_230,plain,
complement(complement(top)) = complement(complement(top)),
introduced(tautology,[refl,[$fot(complement(complement(top)))]]) ).
cnf(refute_1_231,plain,
( complement(complement(top)) != complement(complement(top))
| complement(top) != zero
| complement(complement(top)) = complement(zero) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(top)),complement(complement(top))) ),[1,0],$fot(zero)]]) ).
cnf(refute_1_232,plain,
( complement(top) != zero
| complement(complement(top)) = complement(zero) ),
inference(resolve,[$cnf( $equal(complement(complement(top)),complement(complement(top))) )],[refute_1_230,refute_1_231]) ).
cnf(refute_1_233,plain,
complement(complement(top)) = complement(zero),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_1_90,refute_1_232]) ).
cnf(refute_1_234,plain,
( complement(complement(top)) != complement(zero)
| complement(complement(top)) != join(zero,meet(complement(complement(top)),top))
| complement(zero) = join(zero,meet(complement(complement(top)),top)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(top)),join(zero,meet(complement(complement(top)),top))) ),[0],$fot(complement(zero))]]) ).
cnf(refute_1_235,plain,
( complement(complement(top)) != join(zero,meet(complement(complement(top)),top))
| complement(zero) = join(zero,meet(complement(complement(top)),top)) ),
inference(resolve,[$cnf( $equal(complement(complement(top)),complement(zero)) )],[refute_1_233,refute_1_234]) ).
cnf(refute_1_236,plain,
( complement(top) != zero
| top != join(zero,meet(top,complement(complement(top))))
| top = join(zero,meet(top,complement(zero))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(zero,meet(top,complement(complement(top))))) ),[1,1,1,0],$fot(zero)]]) ).
cnf(refute_1_237,plain,
( top != join(zero,meet(top,complement(complement(top))))
| top = join(zero,meet(top,complement(zero))) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_1_90,refute_1_236]) ).
cnf(refute_1_238,plain,
top = join(zero,meet(top,complement(zero))),
inference(resolve,[$cnf( $equal(top,join(zero,meet(top,complement(complement(top))))) )],[refute_1_224,refute_1_237]) ).
cnf(refute_1_239,plain,
( top != join(zero,meet(top,complement(zero)))
| join(zero,meet(top,complement(zero))) = top ),
inference(subst,[],[refute_1_5:[bind(X,$fot(top)),bind(Y,$fot(join(zero,meet(top,complement(zero)))))]]) ).
cnf(refute_1_240,plain,
join(zero,meet(top,complement(zero))) = top,
inference(resolve,[$cnf( $equal(top,join(zero,meet(top,complement(zero)))) )],[refute_1_238,refute_1_239]) ).
cnf(refute_1_241,plain,
meet(top,complement(complement(top))) = meet(top,complement(complement(top))),
introduced(tautology,[refl,[$fot(meet(top,complement(complement(top))))]]) ).
cnf(refute_1_242,plain,
( complement(complement(top)) != complement(zero)
| meet(top,complement(complement(top))) != meet(top,complement(complement(top)))
| meet(top,complement(complement(top))) = meet(top,complement(zero)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,complement(complement(top))),meet(top,complement(complement(top)))) ),[1,1],$fot(complement(zero))]]) ).
cnf(refute_1_243,plain,
( complement(complement(top)) != complement(zero)
| meet(top,complement(complement(top))) = meet(top,complement(zero)) ),
inference(resolve,[$cnf( $equal(meet(top,complement(complement(top))),meet(top,complement(complement(top)))) )],[refute_1_241,refute_1_242]) ).
cnf(refute_1_244,plain,
meet(top,complement(complement(top))) = meet(top,complement(zero)),
inference(resolve,[$cnf( $equal(complement(complement(top)),complement(zero)) )],[refute_1_233,refute_1_243]) ).
cnf(refute_1_245,plain,
meet(complement(complement(top)),top) = meet(top,complement(complement(top))),
inference(subst,[],[refute_1_137:[bind(X0,$fot(complement(complement(top))))]]) ).
cnf(refute_1_246,plain,
( meet(complement(complement(top)),top) != meet(top,complement(complement(top)))
| meet(top,complement(complement(top))) != meet(top,complement(zero))
| meet(complement(complement(top)),top) = meet(top,complement(zero)) ),
inference(subst,[],[refute_1_52:[bind(X,$fot(meet(complement(complement(top)),top))),bind(Y,$fot(meet(top,complement(complement(top))))),bind(Z,$fot(meet(top,complement(zero))))]]) ).
cnf(refute_1_247,plain,
( meet(top,complement(complement(top))) != meet(top,complement(zero))
| meet(complement(complement(top)),top) = meet(top,complement(zero)) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(top)),top),meet(top,complement(complement(top)))) )],[refute_1_245,refute_1_246]) ).
cnf(refute_1_248,plain,
meet(complement(complement(top)),top) = meet(top,complement(zero)),
inference(resolve,[$cnf( $equal(meet(top,complement(complement(top))),meet(top,complement(zero))) )],[refute_1_244,refute_1_247]) ).
cnf(refute_1_249,plain,
join(zero,meet(complement(complement(top)),top)) = join(zero,meet(complement(complement(top)),top)),
introduced(tautology,[refl,[$fot(join(zero,meet(complement(complement(top)),top)))]]) ).
cnf(refute_1_250,plain,
( join(zero,meet(complement(complement(top)),top)) != join(zero,meet(complement(complement(top)),top))
| meet(complement(complement(top)),top) != meet(top,complement(zero))
| join(zero,meet(complement(complement(top)),top)) = join(zero,meet(top,complement(zero))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(complement(complement(top)),top)),join(zero,meet(complement(complement(top)),top))) ),[1,1],$fot(meet(top,complement(zero)))]]) ).
cnf(refute_1_251,plain,
( meet(complement(complement(top)),top) != meet(top,complement(zero))
| join(zero,meet(complement(complement(top)),top)) = join(zero,meet(top,complement(zero))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(complement(top)),top)),join(zero,meet(complement(complement(top)),top))) )],[refute_1_249,refute_1_250]) ).
cnf(refute_1_252,plain,
join(zero,meet(complement(complement(top)),top)) = join(zero,meet(top,complement(zero))),
inference(resolve,[$cnf( $equal(meet(complement(complement(top)),top),meet(top,complement(zero))) )],[refute_1_248,refute_1_251]) ).
cnf(refute_1_253,plain,
( join(zero,meet(complement(complement(top)),top)) != join(zero,meet(top,complement(zero)))
| join(zero,meet(top,complement(zero))) != top
| join(zero,meet(complement(complement(top)),top)) = top ),
inference(subst,[],[refute_1_52:[bind(X,$fot(join(zero,meet(complement(complement(top)),top)))),bind(Y,$fot(join(zero,meet(top,complement(zero))))),bind(Z,$fot(top))]]) ).
cnf(refute_1_254,plain,
( join(zero,meet(top,complement(zero))) != top
| join(zero,meet(complement(complement(top)),top)) = top ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(complement(top)),top)),join(zero,meet(top,complement(zero)))) )],[refute_1_252,refute_1_253]) ).
cnf(refute_1_255,plain,
join(zero,meet(complement(complement(top)),top)) = top,
inference(resolve,[$cnf( $equal(join(zero,meet(top,complement(zero))),top) )],[refute_1_240,refute_1_254]) ).
cnf(refute_1_256,plain,
( complement(zero) != join(zero,meet(complement(complement(top)),top))
| join(zero,meet(complement(complement(top)),top)) != top
| complement(zero) = top ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(zero),top) ),[0],$fot(join(zero,meet(complement(complement(top)),top)))]]) ).
cnf(refute_1_257,plain,
( complement(zero) != join(zero,meet(complement(complement(top)),top))
| complement(zero) = top ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(complement(top)),top)),top) )],[refute_1_255,refute_1_256]) ).
cnf(refute_1_258,plain,
( complement(complement(top)) != join(zero,meet(complement(complement(top)),top))
| complement(zero) = top ),
inference(resolve,[$cnf( $equal(complement(zero),join(zero,meet(complement(complement(top)),top))) )],[refute_1_235,refute_1_257]) ).
cnf(refute_1_259,plain,
complement(zero) = top,
inference(resolve,[$cnf( $equal(complement(complement(top)),join(zero,meet(complement(complement(top)),top))) )],[refute_1_229,refute_1_258]) ).
cnf(refute_1_260,plain,
( complement(zero) != top
| meet(zero,X1) != complement(join(complement(zero),complement(X1)))
| meet(zero,X1) = complement(join(top,complement(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(zero,X1),complement(join(complement(zero),complement(X1)))) ),[1,0,0],$fot(top)]]) ).
cnf(refute_1_261,plain,
( meet(zero,X1) != complement(join(complement(zero),complement(X1)))
| meet(zero,X1) = complement(join(top,complement(X1))) ),
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_1_259,refute_1_260]) ).
cnf(refute_1_262,plain,
meet(zero,X1) = complement(join(top,complement(X1))),
inference(resolve,[$cnf( $equal(meet(zero,X1),complement(join(complement(zero),complement(X1)))) )],[refute_1_154,refute_1_261]) ).
cnf(refute_1_263,plain,
( meet(zero,X1) != complement(join(top,complement(X1)))
| complement(join(top,complement(X1))) = meet(zero,X1) ),
inference(subst,[],[refute_1_5:[bind(X,$fot(meet(zero,X1))),bind(Y,$fot(complement(join(top,complement(X1)))))]]) ).
cnf(refute_1_264,plain,
complement(join(top,complement(X1))) = meet(zero,X1),
inference(resolve,[$cnf( $equal(meet(zero,X1),complement(join(top,complement(X1)))) )],[refute_1_262,refute_1_263]) ).
cnf(refute_1_265,plain,
complement(join(top,complement(X_417))) = meet(zero,X_417),
inference(subst,[],[refute_1_264:[bind(X1,$fot(X_417))]]) ).
cnf(refute_1_266,plain,
join(meet(top,X_417),complement(join(top,complement(X_417)))) = join(meet(top,X_417),complement(join(top,complement(X_417)))),
introduced(tautology,[refl,[$fot(join(meet(top,X_417),complement(join(top,complement(X_417)))))]]) ).
cnf(refute_1_267,plain,
( complement(join(top,complement(X_417))) != meet(zero,X_417)
| join(meet(top,X_417),complement(join(top,complement(X_417)))) != join(meet(top,X_417),complement(join(top,complement(X_417))))
| join(meet(top,X_417),complement(join(top,complement(X_417)))) = join(meet(top,X_417),meet(zero,X_417)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(top,X_417),complement(join(top,complement(X_417)))),join(meet(top,X_417),complement(join(top,complement(X_417))))) ),[1,1],$fot(meet(zero,X_417))]]) ).
cnf(refute_1_268,plain,
( complement(join(top,complement(X_417))) != meet(zero,X_417)
| join(meet(top,X_417),complement(join(top,complement(X_417)))) = join(meet(top,X_417),meet(zero,X_417)) ),
inference(resolve,[$cnf( $equal(join(meet(top,X_417),complement(join(top,complement(X_417)))),join(meet(top,X_417),complement(join(top,complement(X_417))))) )],[refute_1_266,refute_1_267]) ).
cnf(refute_1_269,plain,
join(meet(top,X_417),complement(join(top,complement(X_417)))) = join(meet(top,X_417),meet(zero,X_417)),
inference(resolve,[$cnf( $equal(complement(join(top,complement(X_417))),meet(zero,X_417)) )],[refute_1_265,refute_1_268]) ).
cnf(refute_1_270,plain,
( X_417 != join(meet(top,X_417),complement(join(top,complement(X_417))))
| join(meet(top,X_417),complement(join(top,complement(X_417)))) != join(meet(top,X_417),meet(zero,X_417))
| X_417 = join(meet(top,X_417),meet(zero,X_417)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_417,join(meet(top,X_417),meet(zero,X_417))) ),[0],$fot(join(meet(top,X_417),complement(join(top,complement(X_417)))))]]) ).
cnf(refute_1_271,plain,
( X_417 != join(meet(top,X_417),complement(join(top,complement(X_417))))
| X_417 = join(meet(top,X_417),meet(zero,X_417)) ),
inference(resolve,[$cnf( $equal(join(meet(top,X_417),complement(join(top,complement(X_417)))),join(meet(top,X_417),meet(zero,X_417))) )],[refute_1_269,refute_1_270]) ).
cnf(refute_1_272,plain,
X_417 = join(meet(top,X_417),meet(zero,X_417)),
inference(resolve,[$cnf( $equal(X_417,join(meet(top,X_417),complement(join(top,complement(X_417))))) )],[refute_1_153,refute_1_271]) ).
cnf(refute_1_273,plain,
join(meet(top,X_417),zero) = join(zero,meet(top,X_417)),
inference(subst,[],[refute_1_7:[bind(X0,$fot(zero)),bind(X1,$fot(meet(top,X_417)))]]) ).
cnf(refute_1_274,plain,
X_417 = join(meet(X_417,X_418),complement(join(complement(X_417),X_418))),
inference(subst,[],[refute_1_114:[bind(X0,$fot(X_417)),bind(X1,$fot(X_418))]]) ).
cnf(refute_1_275,plain,
meet(X_418,X_417) = meet(X_417,X_418),
inference(subst,[],[refute_1_198:[bind(X_406,$fot(X_418)),bind(X_407,$fot(X_417))]]) ).
cnf(refute_1_276,plain,
( meet(X_418,X_417) != meet(X_417,X_418)
| meet(X_417,X_418) = meet(X_418,X_417) ),
inference(subst,[],[refute_1_5:[bind(X,$fot(meet(X_418,X_417))),bind(Y,$fot(meet(X_417,X_418)))]]) ).
cnf(refute_1_277,plain,
meet(X_417,X_418) = meet(X_418,X_417),
inference(resolve,[$cnf( $equal(meet(X_418,X_417),meet(X_417,X_418)) )],[refute_1_275,refute_1_276]) ).
cnf(refute_1_278,plain,
( X_417 != join(meet(X_417,X_418),complement(join(complement(X_417),X_418)))
| meet(X_417,X_418) != meet(X_418,X_417)
| X_417 = join(meet(X_418,X_417),complement(join(complement(X_417),X_418))) ),
introduced(tautology,[equality,[$cnf( $equal(X_417,join(meet(X_417,X_418),complement(join(complement(X_417),X_418)))) ),[1,0],$fot(meet(X_418,X_417))]]) ).
cnf(refute_1_279,plain,
( X_417 != join(meet(X_417,X_418),complement(join(complement(X_417),X_418)))
| X_417 = join(meet(X_418,X_417),complement(join(complement(X_417),X_418))) ),
inference(resolve,[$cnf( $equal(meet(X_417,X_418),meet(X_418,X_417)) )],[refute_1_277,refute_1_278]) ).
cnf(refute_1_280,plain,
X_417 = join(meet(X_418,X_417),complement(join(complement(X_417),X_418))),
inference(resolve,[$cnf( $equal(X_417,join(meet(X_417,X_418),complement(join(complement(X_417),X_418)))) )],[refute_1_274,refute_1_279]) ).
cnf(refute_1_281,plain,
meet(zero,X_480) = join(meet(top,meet(zero,X_480)),complement(join(complement(meet(zero,X_480)),top))),
inference(subst,[],[refute_1_280:[bind(X_417,$fot(meet(zero,X_480))),bind(X_418,$fot(top))]]) ).
cnf(refute_1_282,plain,
meet(X0,meet(top,complement(X0))) = complement(join(complement(X0),complement(meet(top,complement(X0))))),
inference(subst,[],[refute_1_63:[bind(X1,$fot(meet(top,complement(X0))))]]) ).
cnf(refute_1_283,plain,
top = join(complement(X_412),join(complement(complement(X_412)),meet(X_412,complement(X_412)))),
inference(subst,[],[refute_1_166:[bind(X_406,$fot(X_412)),bind(X_407,$fot(complement(X_412)))]]) ).
cnf(refute_1_284,plain,
zero = meet(X_412,complement(X_412)),
inference(subst,[],[refute_1_61:[bind(X0,$fot(X_412))]]) ).
cnf(refute_1_285,plain,
( zero != meet(X_412,complement(X_412))
| meet(X_412,complement(X_412)) = zero ),
inference(subst,[],[refute_1_5:[bind(X,$fot(zero)),bind(Y,$fot(meet(X_412,complement(X_412))))]]) ).
cnf(refute_1_286,plain,
meet(X_412,complement(X_412)) = zero,
inference(resolve,[$cnf( $equal(zero,meet(X_412,complement(X_412))) )],[refute_1_284,refute_1_285]) ).
cnf(refute_1_287,plain,
( meet(X_412,complement(X_412)) != zero
| top != join(complement(X_412),join(complement(complement(X_412)),meet(X_412,complement(X_412))))
| top = join(complement(X_412),join(complement(complement(X_412)),zero)) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(X_412),join(complement(complement(X_412)),meet(X_412,complement(X_412))))) ),[1,1,1],$fot(zero)]]) ).
cnf(refute_1_288,plain,
( top != join(complement(X_412),join(complement(complement(X_412)),meet(X_412,complement(X_412))))
| top = join(complement(X_412),join(complement(complement(X_412)),zero)) ),
inference(resolve,[$cnf( $equal(meet(X_412,complement(X_412)),zero) )],[refute_1_286,refute_1_287]) ).
cnf(refute_1_289,plain,
top = join(complement(X_412),join(complement(complement(X_412)),zero)),
inference(resolve,[$cnf( $equal(top,join(complement(X_412),join(complement(complement(X_412)),meet(X_412,complement(X_412))))) )],[refute_1_283,refute_1_288]) ).
cnf(refute_1_290,plain,
join(complement(complement(X_412)),zero) = join(zero,complement(complement(X_412))),
inference(subst,[],[refute_1_7:[bind(X0,$fot(zero)),bind(X1,$fot(complement(complement(X_412))))]]) ).
cnf(refute_1_291,plain,
join(complement(X_412),join(complement(complement(X_412)),zero)) = join(complement(X_412),join(complement(complement(X_412)),zero)),
introduced(tautology,[refl,[$fot(join(complement(X_412),join(complement(complement(X_412)),zero)))]]) ).
cnf(refute_1_292,plain,
( join(complement(X_412),join(complement(complement(X_412)),zero)) != join(complement(X_412),join(complement(complement(X_412)),zero))
| join(complement(complement(X_412)),zero) != join(zero,complement(complement(X_412)))
| join(complement(X_412),join(complement(complement(X_412)),zero)) = join(complement(X_412),join(zero,complement(complement(X_412)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_412),join(complement(complement(X_412)),zero)),join(complement(X_412),join(complement(complement(X_412)),zero))) ),[1,1],$fot(join(zero,complement(complement(X_412))))]]) ).
cnf(refute_1_293,plain,
( join(complement(complement(X_412)),zero) != join(zero,complement(complement(X_412)))
| join(complement(X_412),join(complement(complement(X_412)),zero)) = join(complement(X_412),join(zero,complement(complement(X_412)))) ),
inference(resolve,[$cnf( $equal(join(complement(X_412),join(complement(complement(X_412)),zero)),join(complement(X_412),join(complement(complement(X_412)),zero))) )],[refute_1_291,refute_1_292]) ).
cnf(refute_1_294,plain,
join(complement(X_412),join(complement(complement(X_412)),zero)) = join(complement(X_412),join(zero,complement(complement(X_412)))),
inference(resolve,[$cnf( $equal(join(complement(complement(X_412)),zero),join(zero,complement(complement(X_412)))) )],[refute_1_290,refute_1_293]) ).
cnf(refute_1_295,plain,
( join(complement(X_412),join(complement(complement(X_412)),zero)) != join(complement(X_412),join(zero,complement(complement(X_412))))
| top != join(complement(X_412),join(complement(complement(X_412)),zero))
| top = join(complement(X_412),join(zero,complement(complement(X_412)))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(X_412),join(complement(complement(X_412)),zero))) ),[1],$fot(join(complement(X_412),join(zero,complement(complement(X_412)))))]]) ).
cnf(refute_1_296,plain,
( top != join(complement(X_412),join(complement(complement(X_412)),zero))
| top = join(complement(X_412),join(zero,complement(complement(X_412)))) ),
inference(resolve,[$cnf( $equal(join(complement(X_412),join(complement(complement(X_412)),zero)),join(complement(X_412),join(zero,complement(complement(X_412))))) )],[refute_1_294,refute_1_295]) ).
cnf(refute_1_297,plain,
top = join(complement(X_412),join(zero,complement(complement(X_412)))),
inference(resolve,[$cnf( $equal(top,join(complement(X_412),join(complement(complement(X_412)),zero))) )],[refute_1_289,refute_1_296]) ).
cnf(refute_1_298,plain,
meet(top,X_411) = join(meet(meet(top,X_411),join(zero,complement(X_411))),complement(join(complement(meet(top,X_411)),join(zero,complement(X_411))))),
inference(subst,[],[refute_1_114:[bind(X0,$fot(meet(top,X_411))),bind(X1,$fot(join(zero,complement(X_411))))]]) ).
cnf(refute_1_299,plain,
zero = meet(join(zero,complement(X_411)),complement(join(zero,complement(X_411)))),
inference(subst,[],[refute_1_61:[bind(X0,$fot(join(zero,complement(X_411))))]]) ).
cnf(refute_1_300,plain,
meet(top,X_411) = complement(join(zero,complement(X_411))),
inference(subst,[],[refute_1_123:[bind(X1,$fot(X_411))]]) ).
cnf(refute_1_301,plain,
( meet(top,X_411) != complement(join(zero,complement(X_411)))
| complement(join(zero,complement(X_411))) = meet(top,X_411) ),
inference(subst,[],[refute_1_5:[bind(X,$fot(meet(top,X_411))),bind(Y,$fot(complement(join(zero,complement(X_411)))))]]) ).
cnf(refute_1_302,plain,
complement(join(zero,complement(X_411))) = meet(top,X_411),
inference(resolve,[$cnf( $equal(meet(top,X_411),complement(join(zero,complement(X_411)))) )],[refute_1_300,refute_1_301]) ).
cnf(refute_1_303,plain,
( complement(join(zero,complement(X_411))) != meet(top,X_411)
| zero != meet(join(zero,complement(X_411)),complement(join(zero,complement(X_411))))
| zero = meet(join(zero,complement(X_411)),meet(top,X_411)) ),
introduced(tautology,[equality,[$cnf( $equal(zero,meet(join(zero,complement(X_411)),complement(join(zero,complement(X_411))))) ),[1,1],$fot(meet(top,X_411))]]) ).
cnf(refute_1_304,plain,
( zero != meet(join(zero,complement(X_411)),complement(join(zero,complement(X_411))))
| zero = meet(join(zero,complement(X_411)),meet(top,X_411)) ),
inference(resolve,[$cnf( $equal(complement(join(zero,complement(X_411))),meet(top,X_411)) )],[refute_1_302,refute_1_303]) ).
cnf(refute_1_305,plain,
zero = meet(join(zero,complement(X_411)),meet(top,X_411)),
inference(resolve,[$cnf( $equal(zero,meet(join(zero,complement(X_411)),complement(join(zero,complement(X_411))))) )],[refute_1_299,refute_1_304]) ).
cnf(refute_1_306,plain,
( meet(X_406,X_407) != meet(X_407,X_406)
| meet(X_407,X_406) = meet(X_406,X_407) ),
inference(subst,[],[refute_1_5:[bind(X,$fot(meet(X_406,X_407))),bind(Y,$fot(meet(X_407,X_406)))]]) ).
cnf(refute_1_307,plain,
meet(X_407,X_406) = meet(X_406,X_407),
inference(resolve,[$cnf( $equal(meet(X_406,X_407),meet(X_407,X_406)) )],[refute_1_198,refute_1_306]) ).
cnf(refute_1_308,plain,
meet(join(zero,complement(X_411)),meet(top,X_411)) = meet(meet(top,X_411),join(zero,complement(X_411))),
inference(subst,[],[refute_1_307:[bind(X_406,$fot(meet(top,X_411))),bind(X_407,$fot(join(zero,complement(X_411))))]]) ).
cnf(refute_1_309,plain,
( meet(join(zero,complement(X_411)),meet(top,X_411)) != meet(meet(top,X_411),join(zero,complement(X_411)))
| zero != meet(join(zero,complement(X_411)),meet(top,X_411))
| zero = meet(meet(top,X_411),join(zero,complement(X_411))) ),
introduced(tautology,[equality,[$cnf( $equal(zero,meet(join(zero,complement(X_411)),meet(top,X_411))) ),[1],$fot(meet(meet(top,X_411),join(zero,complement(X_411))))]]) ).
cnf(refute_1_310,plain,
( zero != meet(join(zero,complement(X_411)),meet(top,X_411))
| zero = meet(meet(top,X_411),join(zero,complement(X_411))) ),
inference(resolve,[$cnf( $equal(meet(join(zero,complement(X_411)),meet(top,X_411)),meet(meet(top,X_411),join(zero,complement(X_411)))) )],[refute_1_308,refute_1_309]) ).
cnf(refute_1_311,plain,
zero = meet(meet(top,X_411),join(zero,complement(X_411))),
inference(resolve,[$cnf( $equal(zero,meet(join(zero,complement(X_411)),meet(top,X_411))) )],[refute_1_305,refute_1_310]) ).
cnf(refute_1_312,plain,
( zero != meet(meet(top,X_411),join(zero,complement(X_411)))
| meet(meet(top,X_411),join(zero,complement(X_411))) = zero ),
inference(subst,[],[refute_1_5:[bind(X,$fot(zero)),bind(Y,$fot(meet(meet(top,X_411),join(zero,complement(X_411)))))]]) ).
cnf(refute_1_313,plain,
meet(meet(top,X_411),join(zero,complement(X_411))) = zero,
inference(resolve,[$cnf( $equal(zero,meet(meet(top,X_411),join(zero,complement(X_411)))) )],[refute_1_311,refute_1_312]) ).
cnf(refute_1_314,plain,
( meet(meet(top,X_411),join(zero,complement(X_411))) != zero
| meet(top,X_411) != join(meet(meet(top,X_411),join(zero,complement(X_411))),complement(join(complement(meet(top,X_411)),join(zero,complement(X_411)))))
| meet(top,X_411) = join(zero,complement(join(complement(meet(top,X_411)),join(zero,complement(X_411))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,X_411),join(meet(meet(top,X_411),join(zero,complement(X_411))),complement(join(complement(meet(top,X_411)),join(zero,complement(X_411)))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_1_315,plain,
( meet(top,X_411) != join(meet(meet(top,X_411),join(zero,complement(X_411))),complement(join(complement(meet(top,X_411)),join(zero,complement(X_411)))))
| meet(top,X_411) = join(zero,complement(join(complement(meet(top,X_411)),join(zero,complement(X_411))))) ),
inference(resolve,[$cnf( $equal(meet(meet(top,X_411),join(zero,complement(X_411))),zero) )],[refute_1_313,refute_1_314]) ).
cnf(refute_1_316,plain,
meet(top,X_411) = join(zero,complement(join(complement(meet(top,X_411)),join(zero,complement(X_411))))),
inference(resolve,[$cnf( $equal(meet(top,X_411),join(meet(meet(top,X_411),join(zero,complement(X_411))),complement(join(complement(meet(top,X_411)),join(zero,complement(X_411)))))) )],[refute_1_298,refute_1_315]) ).
cnf(refute_1_317,plain,
meet(top,join(complement(meet(top,X_411)),join(zero,complement(X_411)))) = join(zero,complement(join(complement(meet(top,join(complement(meet(top,X_411)),join(zero,complement(X_411))))),join(zero,complement(join(complement(meet(top,X_411)),join(zero,complement(X_411)))))))),
inference(subst,[],[refute_1_316:[bind(X_411,$fot(join(complement(meet(top,X_411)),join(zero,complement(X_411)))))]]) ).
cnf(refute_1_318,plain,
( meet(top,X_411) != join(zero,complement(join(complement(meet(top,X_411)),join(zero,complement(X_411)))))
| join(zero,complement(join(complement(meet(top,X_411)),join(zero,complement(X_411))))) = meet(top,X_411) ),
inference(subst,[],[refute_1_5:[bind(X,$fot(meet(top,X_411))),bind(Y,$fot(join(zero,complement(join(complement(meet(top,X_411)),join(zero,complement(X_411)))))))]]) ).
cnf(refute_1_319,plain,
join(zero,complement(join(complement(meet(top,X_411)),join(zero,complement(X_411))))) = meet(top,X_411),
inference(resolve,[$cnf( $equal(meet(top,X_411),join(zero,complement(join(complement(meet(top,X_411)),join(zero,complement(X_411)))))) )],[refute_1_316,refute_1_318]) ).
cnf(refute_1_320,plain,
( join(zero,complement(join(complement(meet(top,X_411)),join(zero,complement(X_411))))) != meet(top,X_411)
| meet(top,join(complement(meet(top,X_411)),join(zero,complement(X_411)))) != join(zero,complement(join(complement(meet(top,join(complement(meet(top,X_411)),join(zero,complement(X_411))))),join(zero,complement(join(complement(meet(top,X_411)),join(zero,complement(X_411))))))))
| meet(top,join(complement(meet(top,X_411)),join(zero,complement(X_411)))) = join(zero,complement(join(complement(meet(top,join(complement(meet(top,X_411)),join(zero,complement(X_411))))),meet(top,X_411)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,join(complement(meet(top,X_411)),join(zero,complement(X_411)))),join(zero,complement(join(complement(meet(top,join(complement(meet(top,X_411)),join(zero,complement(X_411))))),join(zero,complement(join(complement(meet(top,X_411)),join(zero,complement(X_411))))))))) ),[1,1,0,1],$fot(meet(top,X_411))]]) ).
cnf(refute_1_321,plain,
( meet(top,join(complement(meet(top,X_411)),join(zero,complement(X_411)))) != join(zero,complement(join(complement(meet(top,join(complement(meet(top,X_411)),join(zero,complement(X_411))))),join(zero,complement(join(complement(meet(top,X_411)),join(zero,complement(X_411))))))))
| meet(top,join(complement(meet(top,X_411)),join(zero,complement(X_411)))) = join(zero,complement(join(complement(meet(top,join(complement(meet(top,X_411)),join(zero,complement(X_411))))),meet(top,X_411)))) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(complement(meet(top,X_411)),join(zero,complement(X_411))))),meet(top,X_411)) )],[refute_1_319,refute_1_320]) ).
cnf(refute_1_322,plain,
meet(top,join(complement(meet(top,X_411)),join(zero,complement(X_411)))) = join(zero,complement(join(complement(meet(top,join(complement(meet(top,X_411)),join(zero,complement(X_411))))),meet(top,X_411)))),
inference(resolve,[$cnf( $equal(meet(top,join(complement(meet(top,X_411)),join(zero,complement(X_411)))),join(zero,complement(join(complement(meet(top,join(complement(meet(top,X_411)),join(zero,complement(X_411))))),join(zero,complement(join(complement(meet(top,X_411)),join(zero,complement(X_411))))))))) )],[refute_1_317,refute_1_321]) ).
cnf(refute_1_323,plain,
meet(top,join(complement(meet(top,X_436)),join(zero,complement(X_436)))) = complement(join(zero,complement(join(complement(meet(top,X_436)),join(zero,complement(X_436)))))),
inference(subst,[],[refute_1_123:[bind(X1,$fot(join(complement(meet(top,X_436)),join(zero,complement(X_436)))))]]) ).
cnf(refute_1_324,plain,
meet(top,X_436) = join(zero,complement(join(complement(meet(top,X_436)),join(zero,complement(X_436))))),
inference(subst,[],[refute_1_316:[bind(X_411,$fot(X_436))]]) ).
cnf(refute_1_325,plain,
( meet(top,X_436) != join(zero,complement(join(complement(meet(top,X_436)),join(zero,complement(X_436)))))
| join(zero,complement(join(complement(meet(top,X_436)),join(zero,complement(X_436))))) = meet(top,X_436) ),
inference(subst,[],[refute_1_5:[bind(X,$fot(meet(top,X_436))),bind(Y,$fot(join(zero,complement(join(complement(meet(top,X_436)),join(zero,complement(X_436)))))))]]) ).
cnf(refute_1_326,plain,
join(zero,complement(join(complement(meet(top,X_436)),join(zero,complement(X_436))))) = meet(top,X_436),
inference(resolve,[$cnf( $equal(meet(top,X_436),join(zero,complement(join(complement(meet(top,X_436)),join(zero,complement(X_436)))))) )],[refute_1_324,refute_1_325]) ).
cnf(refute_1_327,plain,
( join(zero,complement(join(complement(meet(top,X_436)),join(zero,complement(X_436))))) != meet(top,X_436)
| meet(top,join(complement(meet(top,X_436)),join(zero,complement(X_436)))) != complement(join(zero,complement(join(complement(meet(top,X_436)),join(zero,complement(X_436))))))
| meet(top,join(complement(meet(top,X_436)),join(zero,complement(X_436)))) = complement(meet(top,X_436)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,join(complement(meet(top,X_436)),join(zero,complement(X_436)))),complement(join(zero,complement(join(complement(meet(top,X_436)),join(zero,complement(X_436))))))) ),[1,0],$fot(meet(top,X_436))]]) ).
cnf(refute_1_328,plain,
( meet(top,join(complement(meet(top,X_436)),join(zero,complement(X_436)))) != complement(join(zero,complement(join(complement(meet(top,X_436)),join(zero,complement(X_436))))))
| meet(top,join(complement(meet(top,X_436)),join(zero,complement(X_436)))) = complement(meet(top,X_436)) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(complement(meet(top,X_436)),join(zero,complement(X_436))))),meet(top,X_436)) )],[refute_1_326,refute_1_327]) ).
cnf(refute_1_329,plain,
meet(top,join(complement(meet(top,X_436)),join(zero,complement(X_436)))) = complement(meet(top,X_436)),
inference(resolve,[$cnf( $equal(meet(top,join(complement(meet(top,X_436)),join(zero,complement(X_436)))),complement(join(zero,complement(join(complement(meet(top,X_436)),join(zero,complement(X_436))))))) )],[refute_1_323,refute_1_328]) ).
cnf(refute_1_330,plain,
meet(top,join(complement(meet(top,X_411)),join(zero,complement(X_411)))) = complement(meet(top,X_411)),
inference(subst,[],[refute_1_329:[bind(X_436,$fot(X_411))]]) ).
cnf(refute_1_331,plain,
( meet(top,join(complement(meet(top,X_411)),join(zero,complement(X_411)))) != complement(meet(top,X_411))
| meet(top,join(complement(meet(top,X_411)),join(zero,complement(X_411)))) != join(zero,complement(join(complement(meet(top,join(complement(meet(top,X_411)),join(zero,complement(X_411))))),meet(top,X_411))))
| complement(meet(top,X_411)) = join(zero,complement(join(complement(meet(top,join(complement(meet(top,X_411)),join(zero,complement(X_411))))),meet(top,X_411)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,join(complement(meet(top,X_411)),join(zero,complement(X_411)))),join(zero,complement(join(complement(meet(top,join(complement(meet(top,X_411)),join(zero,complement(X_411))))),meet(top,X_411))))) ),[0],$fot(complement(meet(top,X_411)))]]) ).
cnf(refute_1_332,plain,
( meet(top,join(complement(meet(top,X_411)),join(zero,complement(X_411)))) != join(zero,complement(join(complement(meet(top,join(complement(meet(top,X_411)),join(zero,complement(X_411))))),meet(top,X_411))))
| complement(meet(top,X_411)) = join(zero,complement(join(complement(meet(top,join(complement(meet(top,X_411)),join(zero,complement(X_411))))),meet(top,X_411)))) ),
inference(resolve,[$cnf( $equal(meet(top,join(complement(meet(top,X_411)),join(zero,complement(X_411)))),complement(meet(top,X_411))) )],[refute_1_330,refute_1_331]) ).
cnf(refute_1_333,plain,
join(zero,complement(X1)) = join(zero,meet(join(zero,complement(X1)),complement(complement(join(zero,complement(X1)))))),
inference(subst,[],[refute_1_223:[bind(X_417,$fot(join(zero,complement(X1))))]]) ).
cnf(refute_1_334,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_1_335,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( $equal(complement(join(zero,complement(X1))),meet(top,X1)) )],[refute_1_125,refute_1_334]) ).
cnf(refute_1_336,plain,
join(zero,complement(X1)) = join(zero,meet(join(zero,complement(X1)),complement(meet(top,X1)))),
inference(resolve,[$cnf( $equal(join(zero,complement(X1)),join(zero,meet(join(zero,complement(X1)),complement(complement(join(zero,complement(X1))))))) )],[refute_1_333,refute_1_335]) ).
cnf(refute_1_337,plain,
meet(join(zero,complement(X1)),complement(meet(top,X1))) = meet(complement(meet(top,X1)),join(zero,complement(X1))),
inference(subst,[],[refute_1_307:[bind(X_406,$fot(complement(meet(top,X1)))),bind(X_407,$fot(join(zero,complement(X1))))]]) ).
cnf(refute_1_338,plain,
join(zero,meet(join(zero,complement(X1)),complement(meet(top,X1)))) = join(zero,meet(join(zero,complement(X1)),complement(meet(top,X1)))),
introduced(tautology,[refl,[$fot(join(zero,meet(join(zero,complement(X1)),complement(meet(top,X1)))))]]) ).
cnf(refute_1_339,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_1_340,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( $equal(join(zero,meet(join(zero,complement(X1)),complement(meet(top,X1)))),join(zero,meet(join(zero,complement(X1)),complement(meet(top,X1))))) )],[refute_1_338,refute_1_339]) ).
cnf(refute_1_341,plain,
join(zero,meet(join(zero,complement(X1)),complement(meet(top,X1)))) = join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1)))),
inference(resolve,[$cnf( $equal(meet(join(zero,complement(X1)),complement(meet(top,X1))),meet(complement(meet(top,X1)),join(zero,complement(X1)))) )],[refute_1_337,refute_1_340]) ).
cnf(refute_1_342,plain,
( join(zero,complement(X1)) != join(zero,meet(join(zero,complement(X1)),complement(meet(top,X1))))
| join(zero,meet(join(zero,complement(X1)),complement(meet(top,X1)))) != join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1))))
| join(zero,complement(X1)) = join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1)))) ),
introduced(tautology,[equality,[$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_1_343,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( $equal(join(zero,meet(join(zero,complement(X1)),complement(meet(top,X1)))),join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1))))) )],[refute_1_341,refute_1_342]) ).
cnf(refute_1_344,plain,
join(zero,complement(X1)) = join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1)))),
inference(resolve,[$cnf( $equal(join(zero,complement(X1)),join(zero,meet(join(zero,complement(X1)),complement(meet(top,X1))))) )],[refute_1_336,refute_1_343]) ).
cnf(refute_1_345,plain,
( join(zero,complement(X1)) != join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1))))
| join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1)))) = join(zero,complement(X1)) ),
inference(subst,[],[refute_1_5:[bind(X,$fot(join(zero,complement(X1)))),bind(Y,$fot(join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1))))))]]) ).
cnf(refute_1_346,plain,
join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1)))) = join(zero,complement(X1)),
inference(resolve,[$cnf( $equal(join(zero,complement(X1)),join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1))))) )],[refute_1_344,refute_1_345]) ).
cnf(refute_1_347,plain,
join(zero,meet(complement(meet(top,X_411)),join(zero,complement(X_411)))) = join(zero,complement(X_411)),
inference(subst,[],[refute_1_346:[bind(X1,$fot(X_411))]]) ).
cnf(refute_1_348,plain,
meet(join(zero,complement(X_411)),complement(meet(top,X_411))) = meet(complement(meet(top,X_411)),join(zero,complement(X_411))),
inference(subst,[],[refute_1_307:[bind(X_406,$fot(complement(meet(top,X_411)))),bind(X_407,$fot(join(zero,complement(X_411))))]]) ).
cnf(refute_1_349,plain,
meet(join(zero,complement(X_411)),meet(top,join(complement(meet(top,X_411)),join(zero,complement(X_411))))) = meet(join(zero,complement(X_411)),meet(top,join(complement(meet(top,X_411)),join(zero,complement(X_411))))),
introduced(tautology,[refl,[$fot(meet(join(zero,complement(X_411)),meet(top,join(complement(meet(top,X_411)),join(zero,complement(X_411))))))]]) ).
cnf(refute_1_350,plain,
( meet(join(zero,complement(X_411)),meet(top,join(complement(meet(top,X_411)),join(zero,complement(X_411))))) != meet(join(zero,complement(X_411)),meet(top,join(complement(meet(top,X_411)),join(zero,complement(X_411)))))
| meet(top,join(complement(meet(top,X_411)),join(zero,complement(X_411)))) != complement(meet(top,X_411))
| meet(join(zero,complement(X_411)),meet(top,join(complement(meet(top,X_411)),join(zero,complement(X_411))))) = meet(join(zero,complement(X_411)),complement(meet(top,X_411))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(zero,complement(X_411)),meet(top,join(complement(meet(top,X_411)),join(zero,complement(X_411))))),meet(join(zero,complement(X_411)),meet(top,join(complement(meet(top,X_411)),join(zero,complement(X_411)))))) ),[1,1],$fot(complement(meet(top,X_411)))]]) ).
cnf(refute_1_351,plain,
( meet(top,join(complement(meet(top,X_411)),join(zero,complement(X_411)))) != complement(meet(top,X_411))
| meet(join(zero,complement(X_411)),meet(top,join(complement(meet(top,X_411)),join(zero,complement(X_411))))) = meet(join(zero,complement(X_411)),complement(meet(top,X_411))) ),
inference(resolve,[$cnf( $equal(meet(join(zero,complement(X_411)),meet(top,join(complement(meet(top,X_411)),join(zero,complement(X_411))))),meet(join(zero,complement(X_411)),meet(top,join(complement(meet(top,X_411)),join(zero,complement(X_411)))))) )],[refute_1_349,refute_1_350]) ).
cnf(refute_1_352,plain,
meet(join(zero,complement(X_411)),meet(top,join(complement(meet(top,X_411)),join(zero,complement(X_411))))) = meet(join(zero,complement(X_411)),complement(meet(top,X_411))),
inference(resolve,[$cnf( $equal(meet(top,join(complement(meet(top,X_411)),join(zero,complement(X_411)))),complement(meet(top,X_411))) )],[refute_1_330,refute_1_351]) ).
cnf(refute_1_353,plain,
( meet(join(zero,complement(X_411)),complement(meet(top,X_411))) != meet(complement(meet(top,X_411)),join(zero,complement(X_411)))
| meet(join(zero,complement(X_411)),meet(top,join(complement(meet(top,X_411)),join(zero,complement(X_411))))) != meet(join(zero,complement(X_411)),complement(meet(top,X_411)))
| meet(join(zero,complement(X_411)),meet(top,join(complement(meet(top,X_411)),join(zero,complement(X_411))))) = meet(complement(meet(top,X_411)),join(zero,complement(X_411))) ),
inference(subst,[],[refute_1_52:[bind(X,$fot(meet(join(zero,complement(X_411)),meet(top,join(complement(meet(top,X_411)),join(zero,complement(X_411))))))),bind(Y,$fot(meet(join(zero,complement(X_411)),complement(meet(top,X_411))))),bind(Z,$fot(meet(complement(meet(top,X_411)),join(zero,complement(X_411)))))]]) ).
cnf(refute_1_354,plain,
( meet(join(zero,complement(X_411)),complement(meet(top,X_411))) != meet(complement(meet(top,X_411)),join(zero,complement(X_411)))
| meet(join(zero,complement(X_411)),meet(top,join(complement(meet(top,X_411)),join(zero,complement(X_411))))) = meet(complement(meet(top,X_411)),join(zero,complement(X_411))) ),
inference(resolve,[$cnf( $equal(meet(join(zero,complement(X_411)),meet(top,join(complement(meet(top,X_411)),join(zero,complement(X_411))))),meet(join(zero,complement(X_411)),complement(meet(top,X_411)))) )],[refute_1_352,refute_1_353]) ).
cnf(refute_1_355,plain,
meet(join(zero,complement(X_411)),meet(top,join(complement(meet(top,X_411)),join(zero,complement(X_411))))) = meet(complement(meet(top,X_411)),join(zero,complement(X_411))),
inference(resolve,[$cnf( $equal(meet(join(zero,complement(X_411)),complement(meet(top,X_411))),meet(complement(meet(top,X_411)),join(zero,complement(X_411)))) )],[refute_1_348,refute_1_354]) ).
cnf(refute_1_356,plain,
meet(meet(top,join(complement(meet(top,X_411)),join(zero,complement(X_411)))),join(zero,complement(X_411))) = meet(join(zero,complement(X_411)),meet(top,join(complement(meet(top,X_411)),join(zero,complement(X_411))))),
inference(subst,[],[refute_1_307:[bind(X_406,$fot(join(zero,complement(X_411)))),bind(X_407,$fot(meet(top,join(complement(meet(top,X_411)),join(zero,complement(X_411))))))]]) ).
cnf(refute_1_357,plain,
meet(X0,join(zero,complement(X_411))) = complement(join(complement(X0),complement(join(zero,complement(X_411))))),
inference(subst,[],[refute_1_63:[bind(X1,$fot(join(zero,complement(X_411))))]]) ).
cnf(refute_1_358,plain,
( complement(join(zero,complement(X_411))) != meet(top,X_411)
| meet(X0,join(zero,complement(X_411))) != complement(join(complement(X0),complement(join(zero,complement(X_411)))))
| meet(X0,join(zero,complement(X_411))) = complement(join(complement(X0),meet(top,X_411))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X0,join(zero,complement(X_411))),complement(join(complement(X0),complement(join(zero,complement(X_411)))))) ),[1,0,1],$fot(meet(top,X_411))]]) ).
cnf(refute_1_359,plain,
( meet(X0,join(zero,complement(X_411))) != complement(join(complement(X0),complement(join(zero,complement(X_411)))))
| meet(X0,join(zero,complement(X_411))) = complement(join(complement(X0),meet(top,X_411))) ),
inference(resolve,[$cnf( $equal(complement(join(zero,complement(X_411))),meet(top,X_411)) )],[refute_1_302,refute_1_358]) ).
cnf(refute_1_360,plain,
meet(X0,join(zero,complement(X_411))) = complement(join(complement(X0),meet(top,X_411))),
inference(resolve,[$cnf( $equal(meet(X0,join(zero,complement(X_411))),complement(join(complement(X0),complement(join(zero,complement(X_411)))))) )],[refute_1_357,refute_1_359]) ).
cnf(refute_1_361,plain,
( meet(X0,join(zero,complement(X_411))) != complement(join(complement(X0),meet(top,X_411)))
| complement(join(complement(X0),meet(top,X_411))) = meet(X0,join(zero,complement(X_411))) ),
inference(subst,[],[refute_1_5:[bind(X,$fot(meet(X0,join(zero,complement(X_411))))),bind(Y,$fot(complement(join(complement(X0),meet(top,X_411)))))]]) ).
cnf(refute_1_362,plain,
complement(join(complement(X0),meet(top,X_411))) = meet(X0,join(zero,complement(X_411))),
inference(resolve,[$cnf( $equal(meet(X0,join(zero,complement(X_411))),complement(join(complement(X0),meet(top,X_411)))) )],[refute_1_360,refute_1_361]) ).
cnf(refute_1_363,plain,
complement(join(complement(meet(top,join(complement(meet(top,X_411)),join(zero,complement(X_411))))),meet(top,X_411))) = meet(meet(top,join(complement(meet(top,X_411)),join(zero,complement(X_411)))),join(zero,complement(X_411))),
inference(subst,[],[refute_1_362:[bind(X0,$fot(meet(top,join(complement(meet(top,X_411)),join(zero,complement(X_411))))))]]) ).
cnf(refute_1_364,plain,
( complement(join(complement(meet(top,join(complement(meet(top,X_411)),join(zero,complement(X_411))))),meet(top,X_411))) != meet(meet(top,join(complement(meet(top,X_411)),join(zero,complement(X_411)))),join(zero,complement(X_411)))
| meet(meet(top,join(complement(meet(top,X_411)),join(zero,complement(X_411)))),join(zero,complement(X_411))) != meet(join(zero,complement(X_411)),meet(top,join(complement(meet(top,X_411)),join(zero,complement(X_411)))))
| complement(join(complement(meet(top,join(complement(meet(top,X_411)),join(zero,complement(X_411))))),meet(top,X_411))) = meet(join(zero,complement(X_411)),meet(top,join(complement(meet(top,X_411)),join(zero,complement(X_411))))) ),
inference(subst,[],[refute_1_52:[bind(X,$fot(complement(join(complement(meet(top,join(complement(meet(top,X_411)),join(zero,complement(X_411))))),meet(top,X_411))))),bind(Y,$fot(meet(meet(top,join(complement(meet(top,X_411)),join(zero,complement(X_411)))),join(zero,complement(X_411))))),bind(Z,$fot(meet(join(zero,complement(X_411)),meet(top,join(complement(meet(top,X_411)),join(zero,complement(X_411)))))))]]) ).
cnf(refute_1_365,plain,
( meet(meet(top,join(complement(meet(top,X_411)),join(zero,complement(X_411)))),join(zero,complement(X_411))) != meet(join(zero,complement(X_411)),meet(top,join(complement(meet(top,X_411)),join(zero,complement(X_411)))))
| complement(join(complement(meet(top,join(complement(meet(top,X_411)),join(zero,complement(X_411))))),meet(top,X_411))) = meet(join(zero,complement(X_411)),meet(top,join(complement(meet(top,X_411)),join(zero,complement(X_411))))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(meet(top,join(complement(meet(top,X_411)),join(zero,complement(X_411))))),meet(top,X_411))),meet(meet(top,join(complement(meet(top,X_411)),join(zero,complement(X_411)))),join(zero,complement(X_411)))) )],[refute_1_363,refute_1_364]) ).
cnf(refute_1_366,plain,
complement(join(complement(meet(top,join(complement(meet(top,X_411)),join(zero,complement(X_411))))),meet(top,X_411))) = meet(join(zero,complement(X_411)),meet(top,join(complement(meet(top,X_411)),join(zero,complement(X_411))))),
inference(resolve,[$cnf( $equal(meet(meet(top,join(complement(meet(top,X_411)),join(zero,complement(X_411)))),join(zero,complement(X_411))),meet(join(zero,complement(X_411)),meet(top,join(complement(meet(top,X_411)),join(zero,complement(X_411)))))) )],[refute_1_356,refute_1_365]) ).
cnf(refute_1_367,plain,
( complement(join(complement(meet(top,join(complement(meet(top,X_411)),join(zero,complement(X_411))))),meet(top,X_411))) != meet(join(zero,complement(X_411)),meet(top,join(complement(meet(top,X_411)),join(zero,complement(X_411)))))
| meet(join(zero,complement(X_411)),meet(top,join(complement(meet(top,X_411)),join(zero,complement(X_411))))) != meet(complement(meet(top,X_411)),join(zero,complement(X_411)))
| complement(join(complement(meet(top,join(complement(meet(top,X_411)),join(zero,complement(X_411))))),meet(top,X_411))) = meet(complement(meet(top,X_411)),join(zero,complement(X_411))) ),
inference(subst,[],[refute_1_52:[bind(X,$fot(complement(join(complement(meet(top,join(complement(meet(top,X_411)),join(zero,complement(X_411))))),meet(top,X_411))))),bind(Y,$fot(meet(join(zero,complement(X_411)),meet(top,join(complement(meet(top,X_411)),join(zero,complement(X_411))))))),bind(Z,$fot(meet(complement(meet(top,X_411)),join(zero,complement(X_411)))))]]) ).
cnf(refute_1_368,plain,
( meet(join(zero,complement(X_411)),meet(top,join(complement(meet(top,X_411)),join(zero,complement(X_411))))) != meet(complement(meet(top,X_411)),join(zero,complement(X_411)))
| complement(join(complement(meet(top,join(complement(meet(top,X_411)),join(zero,complement(X_411))))),meet(top,X_411))) = meet(complement(meet(top,X_411)),join(zero,complement(X_411))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(meet(top,join(complement(meet(top,X_411)),join(zero,complement(X_411))))),meet(top,X_411))),meet(join(zero,complement(X_411)),meet(top,join(complement(meet(top,X_411)),join(zero,complement(X_411)))))) )],[refute_1_366,refute_1_367]) ).
cnf(refute_1_369,plain,
complement(join(complement(meet(top,join(complement(meet(top,X_411)),join(zero,complement(X_411))))),meet(top,X_411))) = meet(complement(meet(top,X_411)),join(zero,complement(X_411))),
inference(resolve,[$cnf( $equal(meet(join(zero,complement(X_411)),meet(top,join(complement(meet(top,X_411)),join(zero,complement(X_411))))),meet(complement(meet(top,X_411)),join(zero,complement(X_411)))) )],[refute_1_355,refute_1_368]) ).
cnf(refute_1_370,plain,
join(zero,complement(join(complement(meet(top,join(complement(meet(top,X_411)),join(zero,complement(X_411))))),meet(top,X_411)))) = join(zero,complement(join(complement(meet(top,join(complement(meet(top,X_411)),join(zero,complement(X_411))))),meet(top,X_411)))),
introduced(tautology,[refl,[$fot(join(zero,complement(join(complement(meet(top,join(complement(meet(top,X_411)),join(zero,complement(X_411))))),meet(top,X_411)))))]]) ).
cnf(refute_1_371,plain,
( complement(join(complement(meet(top,join(complement(meet(top,X_411)),join(zero,complement(X_411))))),meet(top,X_411))) != meet(complement(meet(top,X_411)),join(zero,complement(X_411)))
| join(zero,complement(join(complement(meet(top,join(complement(meet(top,X_411)),join(zero,complement(X_411))))),meet(top,X_411)))) != join(zero,complement(join(complement(meet(top,join(complement(meet(top,X_411)),join(zero,complement(X_411))))),meet(top,X_411))))
| join(zero,complement(join(complement(meet(top,join(complement(meet(top,X_411)),join(zero,complement(X_411))))),meet(top,X_411)))) = join(zero,meet(complement(meet(top,X_411)),join(zero,complement(X_411)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,complement(join(complement(meet(top,join(complement(meet(top,X_411)),join(zero,complement(X_411))))),meet(top,X_411)))),join(zero,complement(join(complement(meet(top,join(complement(meet(top,X_411)),join(zero,complement(X_411))))),meet(top,X_411))))) ),[1,1],$fot(meet(complement(meet(top,X_411)),join(zero,complement(X_411))))]]) ).
cnf(refute_1_372,plain,
( complement(join(complement(meet(top,join(complement(meet(top,X_411)),join(zero,complement(X_411))))),meet(top,X_411))) != meet(complement(meet(top,X_411)),join(zero,complement(X_411)))
| join(zero,complement(join(complement(meet(top,join(complement(meet(top,X_411)),join(zero,complement(X_411))))),meet(top,X_411)))) = join(zero,meet(complement(meet(top,X_411)),join(zero,complement(X_411)))) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(complement(meet(top,join(complement(meet(top,X_411)),join(zero,complement(X_411))))),meet(top,X_411)))),join(zero,complement(join(complement(meet(top,join(complement(meet(top,X_411)),join(zero,complement(X_411))))),meet(top,X_411))))) )],[refute_1_370,refute_1_371]) ).
cnf(refute_1_373,plain,
join(zero,complement(join(complement(meet(top,join(complement(meet(top,X_411)),join(zero,complement(X_411))))),meet(top,X_411)))) = join(zero,meet(complement(meet(top,X_411)),join(zero,complement(X_411)))),
inference(resolve,[$cnf( $equal(complement(join(complement(meet(top,join(complement(meet(top,X_411)),join(zero,complement(X_411))))),meet(top,X_411))),meet(complement(meet(top,X_411)),join(zero,complement(X_411)))) )],[refute_1_369,refute_1_372]) ).
cnf(refute_1_374,plain,
( join(zero,complement(join(complement(meet(top,join(complement(meet(top,X_411)),join(zero,complement(X_411))))),meet(top,X_411)))) != join(zero,meet(complement(meet(top,X_411)),join(zero,complement(X_411))))
| join(zero,meet(complement(meet(top,X_411)),join(zero,complement(X_411)))) != join(zero,complement(X_411))
| join(zero,complement(join(complement(meet(top,join(complement(meet(top,X_411)),join(zero,complement(X_411))))),meet(top,X_411)))) = join(zero,complement(X_411)) ),
inference(subst,[],[refute_1_52:[bind(X,$fot(join(zero,complement(join(complement(meet(top,join(complement(meet(top,X_411)),join(zero,complement(X_411))))),meet(top,X_411)))))),bind(Y,$fot(join(zero,meet(complement(meet(top,X_411)),join(zero,complement(X_411)))))),bind(Z,$fot(join(zero,complement(X_411))))]]) ).
cnf(refute_1_375,plain,
( join(zero,meet(complement(meet(top,X_411)),join(zero,complement(X_411)))) != join(zero,complement(X_411))
| join(zero,complement(join(complement(meet(top,join(complement(meet(top,X_411)),join(zero,complement(X_411))))),meet(top,X_411)))) = join(zero,complement(X_411)) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(complement(meet(top,join(complement(meet(top,X_411)),join(zero,complement(X_411))))),meet(top,X_411)))),join(zero,meet(complement(meet(top,X_411)),join(zero,complement(X_411))))) )],[refute_1_373,refute_1_374]) ).
cnf(refute_1_376,plain,
join(zero,complement(join(complement(meet(top,join(complement(meet(top,X_411)),join(zero,complement(X_411))))),meet(top,X_411)))) = join(zero,complement(X_411)),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(meet(top,X_411)),join(zero,complement(X_411)))),join(zero,complement(X_411))) )],[refute_1_347,refute_1_375]) ).
cnf(refute_1_377,plain,
( complement(meet(top,X_411)) != join(zero,complement(join(complement(meet(top,join(complement(meet(top,X_411)),join(zero,complement(X_411))))),meet(top,X_411))))
| join(zero,complement(join(complement(meet(top,join(complement(meet(top,X_411)),join(zero,complement(X_411))))),meet(top,X_411)))) != join(zero,complement(X_411))
| complement(meet(top,X_411)) = join(zero,complement(X_411)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(meet(top,X_411)),join(zero,complement(X_411))) ),[0],$fot(join(zero,complement(join(complement(meet(top,join(complement(meet(top,X_411)),join(zero,complement(X_411))))),meet(top,X_411)))))]]) ).
cnf(refute_1_378,plain,
( complement(meet(top,X_411)) != join(zero,complement(join(complement(meet(top,join(complement(meet(top,X_411)),join(zero,complement(X_411))))),meet(top,X_411))))
| complement(meet(top,X_411)) = join(zero,complement(X_411)) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(complement(meet(top,join(complement(meet(top,X_411)),join(zero,complement(X_411))))),meet(top,X_411)))),join(zero,complement(X_411))) )],[refute_1_376,refute_1_377]) ).
cnf(refute_1_379,plain,
( meet(top,join(complement(meet(top,X_411)),join(zero,complement(X_411)))) != join(zero,complement(join(complement(meet(top,join(complement(meet(top,X_411)),join(zero,complement(X_411))))),meet(top,X_411))))
| complement(meet(top,X_411)) = join(zero,complement(X_411)) ),
inference(resolve,[$cnf( $equal(complement(meet(top,X_411)),join(zero,complement(join(complement(meet(top,join(complement(meet(top,X_411)),join(zero,complement(X_411))))),meet(top,X_411))))) )],[refute_1_332,refute_1_378]) ).
cnf(refute_1_380,plain,
complement(meet(top,X_411)) = join(zero,complement(X_411)),
inference(resolve,[$cnf( $equal(meet(top,join(complement(meet(top,X_411)),join(zero,complement(X_411)))),join(zero,complement(join(complement(meet(top,join(complement(meet(top,X_411)),join(zero,complement(X_411))))),meet(top,X_411))))) )],[refute_1_322,refute_1_379]) ).
cnf(refute_1_381,plain,
( complement(meet(top,X_411)) != join(zero,complement(X_411))
| join(zero,complement(X_411)) = complement(meet(top,X_411)) ),
inference(subst,[],[refute_1_5:[bind(X,$fot(complement(meet(top,X_411)))),bind(Y,$fot(join(zero,complement(X_411))))]]) ).
cnf(refute_1_382,plain,
join(zero,complement(X_411)) = complement(meet(top,X_411)),
inference(resolve,[$cnf( $equal(complement(meet(top,X_411)),join(zero,complement(X_411))) )],[refute_1_380,refute_1_381]) ).
cnf(refute_1_383,plain,
join(zero,complement(complement(X_412))) = complement(meet(top,complement(X_412))),
inference(subst,[],[refute_1_382:[bind(X_411,$fot(complement(X_412)))]]) ).
cnf(refute_1_384,plain,
join(complement(X_412),join(zero,complement(complement(X_412)))) = join(complement(X_412),join(zero,complement(complement(X_412)))),
introduced(tautology,[refl,[$fot(join(complement(X_412),join(zero,complement(complement(X_412)))))]]) ).
cnf(refute_1_385,plain,
( join(complement(X_412),join(zero,complement(complement(X_412)))) != join(complement(X_412),join(zero,complement(complement(X_412))))
| join(zero,complement(complement(X_412))) != complement(meet(top,complement(X_412)))
| join(complement(X_412),join(zero,complement(complement(X_412)))) = join(complement(X_412),complement(meet(top,complement(X_412)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_412),join(zero,complement(complement(X_412)))),join(complement(X_412),join(zero,complement(complement(X_412))))) ),[1,1],$fot(complement(meet(top,complement(X_412))))]]) ).
cnf(refute_1_386,plain,
( join(zero,complement(complement(X_412))) != complement(meet(top,complement(X_412)))
| join(complement(X_412),join(zero,complement(complement(X_412)))) = join(complement(X_412),complement(meet(top,complement(X_412)))) ),
inference(resolve,[$cnf( $equal(join(complement(X_412),join(zero,complement(complement(X_412)))),join(complement(X_412),join(zero,complement(complement(X_412))))) )],[refute_1_384,refute_1_385]) ).
cnf(refute_1_387,plain,
join(complement(X_412),join(zero,complement(complement(X_412)))) = join(complement(X_412),complement(meet(top,complement(X_412)))),
inference(resolve,[$cnf( $equal(join(zero,complement(complement(X_412))),complement(meet(top,complement(X_412)))) )],[refute_1_383,refute_1_386]) ).
cnf(refute_1_388,plain,
( join(complement(X_412),join(zero,complement(complement(X_412)))) != join(complement(X_412),complement(meet(top,complement(X_412))))
| top != join(complement(X_412),join(zero,complement(complement(X_412))))
| top = join(complement(X_412),complement(meet(top,complement(X_412)))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(X_412),join(zero,complement(complement(X_412))))) ),[1],$fot(join(complement(X_412),complement(meet(top,complement(X_412)))))]]) ).
cnf(refute_1_389,plain,
( top != join(complement(X_412),join(zero,complement(complement(X_412))))
| top = join(complement(X_412),complement(meet(top,complement(X_412)))) ),
inference(resolve,[$cnf( $equal(join(complement(X_412),join(zero,complement(complement(X_412)))),join(complement(X_412),complement(meet(top,complement(X_412))))) )],[refute_1_387,refute_1_388]) ).
cnf(refute_1_390,plain,
top = join(complement(X_412),complement(meet(top,complement(X_412)))),
inference(resolve,[$cnf( $equal(top,join(complement(X_412),join(zero,complement(complement(X_412))))) )],[refute_1_297,refute_1_389]) ).
cnf(refute_1_391,plain,
top = join(complement(X0),complement(meet(top,complement(X0)))),
inference(subst,[],[refute_1_390:[bind(X_412,$fot(X0))]]) ).
cnf(refute_1_392,plain,
( top != join(complement(X0),complement(meet(top,complement(X0))))
| join(complement(X0),complement(meet(top,complement(X0)))) = top ),
inference(subst,[],[refute_1_5:[bind(X,$fot(top)),bind(Y,$fot(join(complement(X0),complement(meet(top,complement(X0))))))]]) ).
cnf(refute_1_393,plain,
join(complement(X0),complement(meet(top,complement(X0)))) = top,
inference(resolve,[$cnf( $equal(top,join(complement(X0),complement(meet(top,complement(X0))))) )],[refute_1_391,refute_1_392]) ).
cnf(refute_1_394,plain,
( join(complement(X0),complement(meet(top,complement(X0)))) != top
| meet(X0,meet(top,complement(X0))) != complement(join(complement(X0),complement(meet(top,complement(X0)))))
| meet(X0,meet(top,complement(X0))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X0,meet(top,complement(X0))),complement(join(complement(X0),complement(meet(top,complement(X0)))))) ),[1,0],$fot(top)]]) ).
cnf(refute_1_395,plain,
( meet(X0,meet(top,complement(X0))) != complement(join(complement(X0),complement(meet(top,complement(X0)))))
| meet(X0,meet(top,complement(X0))) = complement(top) ),
inference(resolve,[$cnf( $equal(join(complement(X0),complement(meet(top,complement(X0)))),top) )],[refute_1_393,refute_1_394]) ).
cnf(refute_1_396,plain,
meet(X0,meet(top,complement(X0))) = complement(top),
inference(resolve,[$cnf( $equal(meet(X0,meet(top,complement(X0))),complement(join(complement(X0),complement(meet(top,complement(X0)))))) )],[refute_1_282,refute_1_395]) ).
cnf(refute_1_397,plain,
( complement(top) != zero
| meet(X0,meet(top,complement(X0))) != complement(top)
| meet(X0,meet(top,complement(X0))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(X0,meet(top,complement(X0))),complement(top)) ),[1],$fot(zero)]]) ).
cnf(refute_1_398,plain,
( meet(X0,meet(top,complement(X0))) != complement(top)
| meet(X0,meet(top,complement(X0))) = zero ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_1_90,refute_1_397]) ).
cnf(refute_1_399,plain,
meet(X0,meet(top,complement(X0))) = zero,
inference(resolve,[$cnf( $equal(meet(X0,meet(top,complement(X0))),complement(top)) )],[refute_1_396,refute_1_398]) ).
cnf(refute_1_400,plain,
meet(meet(zero,X_479),meet(top,complement(meet(zero,X_479)))) = zero,
inference(subst,[],[refute_1_399:[bind(X0,$fot(meet(zero,X_479)))]]) ).
cnf(refute_1_401,plain,
top = join(complement(X_406),join(complement(X_406),meet(X_406,X_406))),
inference(subst,[],[refute_1_166:[bind(X_407,$fot(X_406))]]) ).
cnf(refute_1_402,plain,
top = join(meet(X_475,X_475),complement(meet(X_475,X_475))),
inference(subst,[],[refute_1_70:[bind(X0,$fot(meet(X_475,X_475)))]]) ).
cnf(refute_1_403,plain,
join(complement(X_474),composition(converse(one),complement(composition(one,X_474)))) = complement(X_474),
inference(subst,[],[refute_1_11:[bind(X0,$fot(one)),bind(X1,$fot(X_474))]]) ).
cnf(refute_1_404,plain,
converse(composition(converse(X_400),one)) = composition(converse(one),X_400),
inference(subst,[],[refute_1_36:[bind(X0,$fot(X_400)),bind(X_390,$fot(one))]]) ).
cnf(refute_1_405,plain,
composition(X0,one) = X0,
inference(canonicalize,[],[normalize_1_24]) ).
cnf(refute_1_406,plain,
composition(converse(X_400),one) = converse(X_400),
inference(subst,[],[refute_1_405:[bind(X0,$fot(converse(X_400)))]]) ).
cnf(refute_1_407,plain,
( composition(converse(X_400),one) != converse(X_400)
| converse(composition(converse(X_400),one)) != composition(converse(one),X_400)
| converse(converse(X_400)) = composition(converse(one),X_400) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(X_400),one)),composition(converse(one),X_400)) ),[0,0],$fot(converse(X_400))]]) ).
cnf(refute_1_408,plain,
( converse(composition(converse(X_400),one)) != composition(converse(one),X_400)
| converse(converse(X_400)) = composition(converse(one),X_400) ),
inference(resolve,[$cnf( $equal(composition(converse(X_400),one),converse(X_400)) )],[refute_1_406,refute_1_407]) ).
cnf(refute_1_409,plain,
converse(converse(X_400)) = composition(converse(one),X_400),
inference(resolve,[$cnf( $equal(converse(composition(converse(X_400),one)),composition(converse(one),X_400)) )],[refute_1_404,refute_1_408]) ).
cnf(refute_1_410,plain,
converse(converse(X_400)) = X_400,
inference(subst,[],[refute_1_19:[bind(X0,$fot(X_400))]]) ).
cnf(refute_1_411,plain,
( converse(converse(X_400)) != X_400
| converse(converse(X_400)) != composition(converse(one),X_400)
| X_400 = composition(converse(one),X_400) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(X_400)),composition(converse(one),X_400)) ),[0],$fot(X_400)]]) ).
cnf(refute_1_412,plain,
( converse(converse(X_400)) != composition(converse(one),X_400)
| X_400 = composition(converse(one),X_400) ),
inference(resolve,[$cnf( $equal(converse(converse(X_400)),X_400) )],[refute_1_410,refute_1_411]) ).
cnf(refute_1_413,plain,
X_400 = composition(converse(one),X_400),
inference(resolve,[$cnf( $equal(converse(converse(X_400)),composition(converse(one),X_400)) )],[refute_1_409,refute_1_412]) ).
cnf(refute_1_414,plain,
composition(converse(one),one) = converse(one),
inference(subst,[],[refute_1_405:[bind(X0,$fot(converse(one)))]]) ).
cnf(refute_1_415,plain,
one = composition(converse(one),one),
inference(subst,[],[refute_1_413:[bind(X_400,$fot(one))]]) ).
cnf(refute_1_416,plain,
( one != composition(converse(one),one)
| composition(converse(one),one) = one ),
inference(subst,[],[refute_1_5:[bind(X,$fot(one)),bind(Y,$fot(composition(converse(one),one)))]]) ).
cnf(refute_1_417,plain,
composition(converse(one),one) = one,
inference(resolve,[$cnf( $equal(one,composition(converse(one),one)) )],[refute_1_415,refute_1_416]) ).
cnf(refute_1_418,plain,
( composition(converse(one),one) != converse(one)
| composition(converse(one),one) != one
| one = converse(one) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(one),one),converse(one)) ),[0],$fot(one)]]) ).
cnf(refute_1_419,plain,
( composition(converse(one),one) != converse(one)
| one = converse(one) ),
inference(resolve,[$cnf( $equal(composition(converse(one),one),one) )],[refute_1_417,refute_1_418]) ).
cnf(refute_1_420,plain,
one = converse(one),
inference(resolve,[$cnf( $equal(composition(converse(one),one),converse(one)) )],[refute_1_414,refute_1_419]) ).
cnf(refute_1_421,plain,
( one != converse(one)
| converse(one) = one ),
inference(subst,[],[refute_1_5:[bind(X,$fot(one)),bind(Y,$fot(converse(one)))]]) ).
cnf(refute_1_422,plain,
converse(one) = one,
inference(resolve,[$cnf( $equal(one,converse(one)) )],[refute_1_420,refute_1_421]) ).
cnf(refute_1_423,plain,
composition(converse(one),X_400) = composition(converse(one),X_400),
introduced(tautology,[refl,[$fot(composition(converse(one),X_400))]]) ).
cnf(refute_1_424,plain,
( composition(converse(one),X_400) != composition(converse(one),X_400)
| converse(one) != one
| composition(converse(one),X_400) = composition(one,X_400) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(one),X_400),composition(converse(one),X_400)) ),[1,0],$fot(one)]]) ).
cnf(refute_1_425,plain,
( converse(one) != one
| composition(converse(one),X_400) = composition(one,X_400) ),
inference(resolve,[$cnf( $equal(composition(converse(one),X_400),composition(converse(one),X_400)) )],[refute_1_423,refute_1_424]) ).
cnf(refute_1_426,plain,
composition(converse(one),X_400) = composition(one,X_400),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_1_422,refute_1_425]) ).
cnf(refute_1_427,plain,
( X_400 != composition(converse(one),X_400)
| composition(converse(one),X_400) != composition(one,X_400)
| X_400 = composition(one,X_400) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_400,composition(one,X_400)) ),[0],$fot(composition(converse(one),X_400))]]) ).
cnf(refute_1_428,plain,
( X_400 != composition(converse(one),X_400)
| X_400 = composition(one,X_400) ),
inference(resolve,[$cnf( $equal(composition(converse(one),X_400),composition(one,X_400)) )],[refute_1_426,refute_1_427]) ).
cnf(refute_1_429,plain,
X_400 = composition(one,X_400),
inference(resolve,[$cnf( $equal(X_400,composition(converse(one),X_400)) )],[refute_1_413,refute_1_428]) ).
cnf(refute_1_430,plain,
X_474 = composition(one,X_474),
inference(subst,[],[refute_1_429:[bind(X_400,$fot(X_474))]]) ).
cnf(refute_1_431,plain,
( X_474 != composition(one,X_474)
| composition(one,X_474) = X_474 ),
inference(subst,[],[refute_1_5:[bind(X,$fot(X_474)),bind(Y,$fot(composition(one,X_474)))]]) ).
cnf(refute_1_432,plain,
composition(one,X_474) = X_474,
inference(resolve,[$cnf( $equal(X_474,composition(one,X_474)) )],[refute_1_430,refute_1_431]) ).
cnf(refute_1_433,plain,
( composition(one,X_474) != X_474
| join(complement(X_474),composition(converse(one),complement(composition(one,X_474)))) != complement(X_474)
| join(complement(X_474),composition(converse(one),complement(X_474))) = complement(X_474) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_474),composition(converse(one),complement(composition(one,X_474)))),complement(X_474)) ),[0,1,1,0],$fot(X_474)]]) ).
cnf(refute_1_434,plain,
( join(complement(X_474),composition(converse(one),complement(composition(one,X_474)))) != complement(X_474)
| join(complement(X_474),composition(converse(one),complement(X_474))) = complement(X_474) ),
inference(resolve,[$cnf( $equal(composition(one,X_474),X_474) )],[refute_1_432,refute_1_433]) ).
cnf(refute_1_435,plain,
join(complement(X_474),composition(converse(one),complement(X_474))) = complement(X_474),
inference(resolve,[$cnf( $equal(join(complement(X_474),composition(converse(one),complement(composition(one,X_474)))),complement(X_474)) )],[refute_1_403,refute_1_434]) ).
cnf(refute_1_436,plain,
join(complement(X0),complement(X1)) = join(zero,meet(join(complement(X0),complement(X1)),complement(complement(join(complement(X0),complement(X1)))))),
inference(subst,[],[refute_1_223:[bind(X_417,$fot(join(complement(X0),complement(X1))))]]) ).
cnf(refute_1_437,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_1_438,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( $equal(complement(join(complement(X0),complement(X1))),meet(X0,X1)) )],[refute_1_104,refute_1_437]) ).
cnf(refute_1_439,plain,
join(complement(X0),complement(X1)) = join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1)))),
inference(resolve,[$cnf( $equal(join(complement(X0),complement(X1)),join(zero,meet(join(complement(X0),complement(X1)),complement(complement(join(complement(X0),complement(X1))))))) )],[refute_1_436,refute_1_438]) ).
cnf(refute_1_440,plain,
join(complement(complement(meet(X0,X1))),meet(X0,X1)) = join(meet(X0,X1),complement(complement(meet(X0,X1)))),
inference(subst,[],[refute_1_7:[bind(X0,$fot(meet(X0,X1))),bind(X1,$fot(complement(complement(meet(X0,X1)))))]]) ).
cnf(refute_1_441,plain,
complement(join(complement(complement(meet(X0,X1))),meet(X0,X1))) = complement(join(complement(complement(meet(X0,X1))),meet(X0,X1))),
introduced(tautology,[refl,[$fot(complement(join(complement(complement(meet(X0,X1))),meet(X0,X1))))]]) ).
cnf(refute_1_442,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_1_443,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( $equal(complement(join(complement(complement(meet(X0,X1))),meet(X0,X1))),complement(join(complement(complement(meet(X0,X1))),meet(X0,X1)))) )],[refute_1_441,refute_1_442]) ).
cnf(refute_1_444,plain,
complement(join(complement(complement(meet(X0,X1))),meet(X0,X1))) = complement(join(meet(X0,X1),complement(complement(meet(X0,X1))))),
inference(resolve,[$cnf( $equal(join(complement(complement(meet(X0,X1))),meet(X0,X1)),join(meet(X0,X1),complement(complement(meet(X0,X1))))) )],[refute_1_440,refute_1_443]) ).
cnf(refute_1_445,plain,
meet(X0,join(complement(X_406),complement(X_407))) = complement(join(complement(X0),complement(join(complement(X_406),complement(X_407))))),
inference(subst,[],[refute_1_63:[bind(X1,$fot(join(complement(X_406),complement(X_407))))]]) ).
cnf(refute_1_446,plain,
( complement(join(complement(X_406),complement(X_407))) != meet(X_406,X_407)
| meet(X0,join(complement(X_406),complement(X_407))) != complement(join(complement(X0),complement(join(complement(X_406),complement(X_407)))))
| meet(X0,join(complement(X_406),complement(X_407))) = complement(join(complement(X0),meet(X_406,X_407))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X0,join(complement(X_406),complement(X_407))),complement(join(complement(X0),complement(join(complement(X_406),complement(X_407)))))) ),[1,0,1],$fot(meet(X_406,X_407))]]) ).
cnf(refute_1_447,plain,
( meet(X0,join(complement(X_406),complement(X_407))) != complement(join(complement(X0),complement(join(complement(X_406),complement(X_407)))))
| meet(X0,join(complement(X_406),complement(X_407))) = complement(join(complement(X0),meet(X_406,X_407))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_406),complement(X_407))),meet(X_406,X_407)) )],[refute_1_66,refute_1_446]) ).
cnf(refute_1_448,plain,
meet(X0,join(complement(X_406),complement(X_407))) = complement(join(complement(X0),meet(X_406,X_407))),
inference(resolve,[$cnf( $equal(meet(X0,join(complement(X_406),complement(X_407))),complement(join(complement(X0),complement(join(complement(X_406),complement(X_407)))))) )],[refute_1_445,refute_1_447]) ).
cnf(refute_1_449,plain,
meet(complement(meet(X0,X1)),join(complement(X0),complement(X1))) = complement(join(complement(complement(meet(X0,X1))),meet(X0,X1))),
inference(subst,[],[refute_1_448:[bind(X0,$fot(complement(meet(X0,X1)))),bind(X_406,$fot(X0)),bind(X_407,$fot(X1))]]) ).
cnf(refute_1_450,plain,
meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))) = meet(complement(meet(X0,X1)),join(complement(X0),complement(X1))),
inference(subst,[],[refute_1_307:[bind(X_406,$fot(complement(meet(X0,X1)))),bind(X_407,$fot(join(complement(X0),complement(X1))))]]) ).
cnf(refute_1_451,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_1_52:[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,$fot(complement(join(complement(complement(meet(X0,X1))),meet(X0,X1)))))]]) ).
cnf(refute_1_452,plain,
( meet(complement(meet(X0,X1)),join(complement(X0),complement(X1))) != complement(join(complement(complement(meet(X0,X1))),meet(X0,X1)))
| meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))) = complement(join(complement(complement(meet(X0,X1))),meet(X0,X1))) ),
inference(resolve,[$cnf( $equal(meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))),meet(complement(meet(X0,X1)),join(complement(X0),complement(X1)))) )],[refute_1_450,refute_1_451]) ).
cnf(refute_1_453,plain,
meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))) = complement(join(complement(complement(meet(X0,X1))),meet(X0,X1))),
inference(resolve,[$cnf( $equal(meet(complement(meet(X0,X1)),join(complement(X0),complement(X1))),complement(join(complement(complement(meet(X0,X1))),meet(X0,X1)))) )],[refute_1_449,refute_1_452]) ).
cnf(refute_1_454,plain,
( complement(join(complement(complement(meet(X0,X1))),meet(X0,X1))) != complement(join(meet(X0,X1),complement(complement(meet(X0,X1)))))
| meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))) != complement(join(complement(complement(meet(X0,X1))),meet(X0,X1)))
| meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))) = complement(join(meet(X0,X1),complement(complement(meet(X0,X1))))) ),
inference(subst,[],[refute_1_52:[bind(X,$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_1_455,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( $equal(meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))),complement(join(complement(complement(meet(X0,X1))),meet(X0,X1)))) )],[refute_1_453,refute_1_454]) ).
cnf(refute_1_456,plain,
meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))) = complement(join(meet(X0,X1),complement(complement(meet(X0,X1))))),
inference(resolve,[$cnf( $equal(complement(join(complement(complement(meet(X0,X1))),meet(X0,X1))),complement(join(meet(X0,X1),complement(complement(meet(X0,X1)))))) )],[refute_1_444,refute_1_455]) ).
cnf(refute_1_457,plain,
join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1)))) = join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1)))),
introduced(tautology,[refl,[$fot(join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1)))))]]) ).
cnf(refute_1_458,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_1_459,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( $equal(join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1)))),join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))))) )],[refute_1_457,refute_1_458]) ).
cnf(refute_1_460,plain,
join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1)))) = join(zero,complement(join(meet(X0,X1),complement(complement(meet(X0,X1)))))),
inference(resolve,[$cnf( $equal(meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))),complement(join(meet(X0,X1),complement(complement(meet(X0,X1)))))) )],[refute_1_456,refute_1_459]) ).
cnf(refute_1_461,plain,
( join(complement(X0),complement(X1)) != join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))))
| join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1)))) != join(zero,complement(join(meet(X0,X1),complement(complement(meet(X0,X1))))))
| join(complement(X0),complement(X1)) = join(zero,complement(join(meet(X0,X1),complement(complement(meet(X0,X1)))))) ),
introduced(tautology,[equality,[$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_1_462,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( $equal(join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1)))),join(zero,complement(join(meet(X0,X1),complement(complement(meet(X0,X1))))))) )],[refute_1_460,refute_1_461]) ).
cnf(refute_1_463,plain,
join(complement(X0),complement(X1)) = join(zero,complement(join(meet(X0,X1),complement(complement(meet(X0,X1)))))),
inference(resolve,[$cnf( $equal(join(complement(X0),complement(X1)),join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))))) )],[refute_1_439,refute_1_462]) ).
cnf(refute_1_464,plain,
join(zero,complement(join(meet(X0,X1),complement(complement(meet(X0,X1)))))) = complement(meet(top,join(meet(X0,X1),complement(complement(meet(X0,X1)))))),
inference(subst,[],[refute_1_382:[bind(X_411,$fot(join(meet(X0,X1),complement(complement(meet(X0,X1))))))]]) ).
cnf(refute_1_465,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(top,join(meet(X0,X1),complement(complement(meet(X0,X1))))))
| join(complement(X0),complement(X1)) = complement(meet(top,join(meet(X0,X1),complement(complement(meet(X0,X1)))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(complement(X0),complement(X1)),complement(meet(top,join(meet(X0,X1),complement(complement(meet(X0,X1))))))) ),[0],$fot(join(zero,complement(join(meet(X0,X1),complement(complement(meet(X0,X1)))))))]]) ).
cnf(refute_1_466,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(top,join(meet(X0,X1),complement(complement(meet(X0,X1)))))) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(meet(X0,X1),complement(complement(meet(X0,X1)))))),complement(meet(top,join(meet(X0,X1),complement(complement(meet(X0,X1))))))) )],[refute_1_464,refute_1_465]) ).
cnf(refute_1_467,plain,
join(complement(X0),complement(X1)) = complement(meet(top,join(meet(X0,X1),complement(complement(meet(X0,X1)))))),
inference(resolve,[$cnf( $equal(join(complement(X0),complement(X1)),join(zero,complement(join(meet(X0,X1),complement(complement(meet(X0,X1))))))) )],[refute_1_463,refute_1_466]) ).
cnf(refute_1_468,plain,
complement(X_444) = join(meet(X_444,complement(X_444)),complement(join(complement(complement(X_444)),X_444))),
inference(subst,[],[refute_1_280:[bind(X_417,$fot(complement(X_444))),bind(X_418,$fot(X_444))]]) ).
cnf(refute_1_469,plain,
zero = meet(X_444,complement(X_444)),
inference(subst,[],[refute_1_61:[bind(X0,$fot(X_444))]]) ).
cnf(refute_1_470,plain,
( zero != meet(X_444,complement(X_444))
| meet(X_444,complement(X_444)) = zero ),
inference(subst,[],[refute_1_5:[bind(X,$fot(zero)),bind(Y,$fot(meet(X_444,complement(X_444))))]]) ).
cnf(refute_1_471,plain,
meet(X_444,complement(X_444)) = zero,
inference(resolve,[$cnf( $equal(zero,meet(X_444,complement(X_444))) )],[refute_1_469,refute_1_470]) ).
cnf(refute_1_472,plain,
( complement(X_444) != join(meet(X_444,complement(X_444)),complement(join(complement(complement(X_444)),X_444)))
| meet(X_444,complement(X_444)) != zero
| complement(X_444) = join(zero,complement(join(complement(complement(X_444)),X_444))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(X_444),join(meet(X_444,complement(X_444)),complement(join(complement(complement(X_444)),X_444)))) ),[1,0],$fot(zero)]]) ).
cnf(refute_1_473,plain,
( complement(X_444) != join(meet(X_444,complement(X_444)),complement(join(complement(complement(X_444)),X_444)))
| complement(X_444) = join(zero,complement(join(complement(complement(X_444)),X_444))) ),
inference(resolve,[$cnf( $equal(meet(X_444,complement(X_444)),zero) )],[refute_1_471,refute_1_472]) ).
cnf(refute_1_474,plain,
complement(X_444) = join(zero,complement(join(complement(complement(X_444)),X_444))),
inference(resolve,[$cnf( $equal(complement(X_444),join(meet(X_444,complement(X_444)),complement(join(complement(complement(X_444)),X_444)))) )],[refute_1_468,refute_1_473]) ).
cnf(refute_1_475,plain,
join(complement(complement(X_444)),X_444) = join(X_444,complement(complement(X_444))),
inference(subst,[],[refute_1_7:[bind(X0,$fot(X_444)),bind(X1,$fot(complement(complement(X_444))))]]) ).
cnf(refute_1_476,plain,
meet(top,join(complement(complement(X_444)),X_444)) = meet(top,join(complement(complement(X_444)),X_444)),
introduced(tautology,[refl,[$fot(meet(top,join(complement(complement(X_444)),X_444)))]]) ).
cnf(refute_1_477,plain,
( join(complement(complement(X_444)),X_444) != join(X_444,complement(complement(X_444)))
| meet(top,join(complement(complement(X_444)),X_444)) != meet(top,join(complement(complement(X_444)),X_444))
| meet(top,join(complement(complement(X_444)),X_444)) = meet(top,join(X_444,complement(complement(X_444)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,join(complement(complement(X_444)),X_444)),meet(top,join(complement(complement(X_444)),X_444))) ),[1,1],$fot(join(X_444,complement(complement(X_444))))]]) ).
cnf(refute_1_478,plain,
( join(complement(complement(X_444)),X_444) != join(X_444,complement(complement(X_444)))
| meet(top,join(complement(complement(X_444)),X_444)) = meet(top,join(X_444,complement(complement(X_444)))) ),
inference(resolve,[$cnf( $equal(meet(top,join(complement(complement(X_444)),X_444)),meet(top,join(complement(complement(X_444)),X_444))) )],[refute_1_476,refute_1_477]) ).
cnf(refute_1_479,plain,
meet(top,join(complement(complement(X_444)),X_444)) = meet(top,join(X_444,complement(complement(X_444)))),
inference(resolve,[$cnf( $equal(join(complement(complement(X_444)),X_444),join(X_444,complement(complement(X_444)))) )],[refute_1_475,refute_1_478]) ).
cnf(refute_1_480,plain,
complement(meet(top,join(complement(complement(X_444)),X_444))) = complement(meet(top,join(complement(complement(X_444)),X_444))),
introduced(tautology,[refl,[$fot(complement(meet(top,join(complement(complement(X_444)),X_444))))]]) ).
cnf(refute_1_481,plain,
( complement(meet(top,join(complement(complement(X_444)),X_444))) != complement(meet(top,join(complement(complement(X_444)),X_444)))
| meet(top,join(complement(complement(X_444)),X_444)) != meet(top,join(X_444,complement(complement(X_444))))
| complement(meet(top,join(complement(complement(X_444)),X_444))) = complement(meet(top,join(X_444,complement(complement(X_444))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(top,join(complement(complement(X_444)),X_444))),complement(meet(top,join(complement(complement(X_444)),X_444)))) ),[1,0],$fot(meet(top,join(X_444,complement(complement(X_444)))))]]) ).
cnf(refute_1_482,plain,
( meet(top,join(complement(complement(X_444)),X_444)) != meet(top,join(X_444,complement(complement(X_444))))
| complement(meet(top,join(complement(complement(X_444)),X_444))) = complement(meet(top,join(X_444,complement(complement(X_444))))) ),
inference(resolve,[$cnf( $equal(complement(meet(top,join(complement(complement(X_444)),X_444))),complement(meet(top,join(complement(complement(X_444)),X_444)))) )],[refute_1_480,refute_1_481]) ).
cnf(refute_1_483,plain,
complement(meet(top,join(complement(complement(X_444)),X_444))) = complement(meet(top,join(X_444,complement(complement(X_444))))),
inference(resolve,[$cnf( $equal(meet(top,join(complement(complement(X_444)),X_444)),meet(top,join(X_444,complement(complement(X_444))))) )],[refute_1_479,refute_1_482]) ).
cnf(refute_1_484,plain,
join(zero,complement(join(complement(complement(X_444)),X_444))) = complement(meet(top,join(complement(complement(X_444)),X_444))),
inference(subst,[],[refute_1_382:[bind(X_411,$fot(join(complement(complement(X_444)),X_444)))]]) ).
cnf(refute_1_485,plain,
( complement(meet(top,join(complement(complement(X_444)),X_444))) != complement(meet(top,join(X_444,complement(complement(X_444)))))
| join(zero,complement(join(complement(complement(X_444)),X_444))) != complement(meet(top,join(complement(complement(X_444)),X_444)))
| join(zero,complement(join(complement(complement(X_444)),X_444))) = complement(meet(top,join(X_444,complement(complement(X_444))))) ),
inference(subst,[],[refute_1_52:[bind(X,$fot(join(zero,complement(join(complement(complement(X_444)),X_444))))),bind(Y,$fot(complement(meet(top,join(complement(complement(X_444)),X_444))))),bind(Z,$fot(complement(meet(top,join(X_444,complement(complement(X_444)))))))]]) ).
cnf(refute_1_486,plain,
( complement(meet(top,join(complement(complement(X_444)),X_444))) != complement(meet(top,join(X_444,complement(complement(X_444)))))
| join(zero,complement(join(complement(complement(X_444)),X_444))) = complement(meet(top,join(X_444,complement(complement(X_444))))) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(complement(complement(X_444)),X_444))),complement(meet(top,join(complement(complement(X_444)),X_444)))) )],[refute_1_484,refute_1_485]) ).
cnf(refute_1_487,plain,
join(zero,complement(join(complement(complement(X_444)),X_444))) = complement(meet(top,join(X_444,complement(complement(X_444))))),
inference(resolve,[$cnf( $equal(complement(meet(top,join(complement(complement(X_444)),X_444))),complement(meet(top,join(X_444,complement(complement(X_444)))))) )],[refute_1_483,refute_1_486]) ).
cnf(refute_1_488,plain,
( complement(X_444) != join(zero,complement(join(complement(complement(X_444)),X_444)))
| join(zero,complement(join(complement(complement(X_444)),X_444))) != complement(meet(top,join(X_444,complement(complement(X_444)))))
| complement(X_444) = complement(meet(top,join(X_444,complement(complement(X_444))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(X_444),complement(meet(top,join(X_444,complement(complement(X_444)))))) ),[0],$fot(join(zero,complement(join(complement(complement(X_444)),X_444))))]]) ).
cnf(refute_1_489,plain,
( complement(X_444) != join(zero,complement(join(complement(complement(X_444)),X_444)))
| complement(X_444) = complement(meet(top,join(X_444,complement(complement(X_444))))) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(complement(complement(X_444)),X_444))),complement(meet(top,join(X_444,complement(complement(X_444)))))) )],[refute_1_487,refute_1_488]) ).
cnf(refute_1_490,plain,
complement(X_444) = complement(meet(top,join(X_444,complement(complement(X_444))))),
inference(resolve,[$cnf( $equal(complement(X_444),join(zero,complement(join(complement(complement(X_444)),X_444)))) )],[refute_1_474,refute_1_489]) ).
cnf(refute_1_491,plain,
( complement(X_444) != complement(meet(top,join(X_444,complement(complement(X_444)))))
| complement(meet(top,join(X_444,complement(complement(X_444))))) = complement(X_444) ),
inference(subst,[],[refute_1_5:[bind(X,$fot(complement(X_444))),bind(Y,$fot(complement(meet(top,join(X_444,complement(complement(X_444)))))))]]) ).
cnf(refute_1_492,plain,
complement(meet(top,join(X_444,complement(complement(X_444))))) = complement(X_444),
inference(resolve,[$cnf( $equal(complement(X_444),complement(meet(top,join(X_444,complement(complement(X_444)))))) )],[refute_1_490,refute_1_491]) ).
cnf(refute_1_493,plain,
complement(meet(top,join(meet(X0,X1),complement(complement(meet(X0,X1)))))) = complement(meet(X0,X1)),
inference(subst,[],[refute_1_492:[bind(X_444,$fot(meet(X0,X1)))]]) ).
cnf(refute_1_494,plain,
( complement(meet(top,join(meet(X0,X1),complement(complement(meet(X0,X1)))))) != complement(meet(X0,X1))
| join(complement(X0),complement(X1)) != complement(meet(top,join(meet(X0,X1),complement(complement(meet(X0,X1))))))
| join(complement(X0),complement(X1)) = complement(meet(X0,X1)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X0),complement(X1)),complement(meet(top,join(meet(X0,X1),complement(complement(meet(X0,X1))))))) ),[1],$fot(complement(meet(X0,X1)))]]) ).
cnf(refute_1_495,plain,
( join(complement(X0),complement(X1)) != complement(meet(top,join(meet(X0,X1),complement(complement(meet(X0,X1))))))
| join(complement(X0),complement(X1)) = complement(meet(X0,X1)) ),
inference(resolve,[$cnf( $equal(complement(meet(top,join(meet(X0,X1),complement(complement(meet(X0,X1)))))),complement(meet(X0,X1))) )],[refute_1_493,refute_1_494]) ).
cnf(refute_1_496,plain,
join(complement(X0),complement(X1)) = complement(meet(X0,X1)),
inference(resolve,[$cnf( $equal(join(complement(X0),complement(X1)),complement(meet(top,join(meet(X0,X1),complement(complement(meet(X0,X1))))))) )],[refute_1_467,refute_1_495]) ).
cnf(refute_1_497,plain,
join(complement(X_474),complement(X_474)) = complement(meet(X_474,X_474)),
inference(subst,[],[refute_1_496:[bind(X0,$fot(X_474)),bind(X1,$fot(X_474))]]) ).
cnf(refute_1_498,plain,
( X_400 != composition(one,X_400)
| composition(one,X_400) = X_400 ),
inference(subst,[],[refute_1_5:[bind(X,$fot(X_400)),bind(Y,$fot(composition(one,X_400)))]]) ).
cnf(refute_1_499,plain,
composition(one,X_400) = X_400,
inference(resolve,[$cnf( $equal(X_400,composition(one,X_400)) )],[refute_1_429,refute_1_498]) ).
cnf(refute_1_500,plain,
composition(one,complement(X_474)) = complement(X_474),
inference(subst,[],[refute_1_499:[bind(X_400,$fot(complement(X_474)))]]) ).
cnf(refute_1_501,plain,
composition(converse(one),complement(X_474)) = composition(converse(one),complement(X_474)),
introduced(tautology,[refl,[$fot(composition(converse(one),complement(X_474)))]]) ).
cnf(refute_1_502,plain,
( composition(converse(one),complement(X_474)) != composition(converse(one),complement(X_474))
| converse(one) != one
| composition(converse(one),complement(X_474)) = composition(one,complement(X_474)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(one),complement(X_474)),composition(converse(one),complement(X_474))) ),[1,0],$fot(one)]]) ).
cnf(refute_1_503,plain,
( converse(one) != one
| composition(converse(one),complement(X_474)) = composition(one,complement(X_474)) ),
inference(resolve,[$cnf( $equal(composition(converse(one),complement(X_474)),composition(converse(one),complement(X_474))) )],[refute_1_501,refute_1_502]) ).
cnf(refute_1_504,plain,
composition(converse(one),complement(X_474)) = composition(one,complement(X_474)),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_1_422,refute_1_503]) ).
cnf(refute_1_505,plain,
( composition(converse(one),complement(X_474)) != composition(one,complement(X_474))
| composition(one,complement(X_474)) != complement(X_474)
| composition(converse(one),complement(X_474)) = complement(X_474) ),
inference(subst,[],[refute_1_52:[bind(X,$fot(composition(converse(one),complement(X_474)))),bind(Y,$fot(composition(one,complement(X_474)))),bind(Z,$fot(complement(X_474)))]]) ).
cnf(refute_1_506,plain,
( composition(one,complement(X_474)) != complement(X_474)
| composition(converse(one),complement(X_474)) = complement(X_474) ),
inference(resolve,[$cnf( $equal(composition(converse(one),complement(X_474)),composition(one,complement(X_474))) )],[refute_1_504,refute_1_505]) ).
cnf(refute_1_507,plain,
composition(converse(one),complement(X_474)) = complement(X_474),
inference(resolve,[$cnf( $equal(composition(one,complement(X_474)),complement(X_474)) )],[refute_1_500,refute_1_506]) ).
cnf(refute_1_508,plain,
join(complement(X_474),composition(converse(one),complement(X_474))) = join(complement(X_474),composition(converse(one),complement(X_474))),
introduced(tautology,[refl,[$fot(join(complement(X_474),composition(converse(one),complement(X_474))))]]) ).
cnf(refute_1_509,plain,
( composition(converse(one),complement(X_474)) != complement(X_474)
| join(complement(X_474),composition(converse(one),complement(X_474))) != join(complement(X_474),composition(converse(one),complement(X_474)))
| join(complement(X_474),composition(converse(one),complement(X_474))) = join(complement(X_474),complement(X_474)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_474),composition(converse(one),complement(X_474))),join(complement(X_474),composition(converse(one),complement(X_474)))) ),[1,1],$fot(complement(X_474))]]) ).
cnf(refute_1_510,plain,
( composition(converse(one),complement(X_474)) != complement(X_474)
| join(complement(X_474),composition(converse(one),complement(X_474))) = join(complement(X_474),complement(X_474)) ),
inference(resolve,[$cnf( $equal(join(complement(X_474),composition(converse(one),complement(X_474))),join(complement(X_474),composition(converse(one),complement(X_474)))) )],[refute_1_508,refute_1_509]) ).
cnf(refute_1_511,plain,
join(complement(X_474),composition(converse(one),complement(X_474))) = join(complement(X_474),complement(X_474)),
inference(resolve,[$cnf( $equal(composition(converse(one),complement(X_474)),complement(X_474)) )],[refute_1_507,refute_1_510]) ).
cnf(refute_1_512,plain,
( join(complement(X_474),complement(X_474)) != complement(meet(X_474,X_474))
| join(complement(X_474),composition(converse(one),complement(X_474))) != join(complement(X_474),complement(X_474))
| join(complement(X_474),composition(converse(one),complement(X_474))) = complement(meet(X_474,X_474)) ),
inference(subst,[],[refute_1_52:[bind(X,$fot(join(complement(X_474),composition(converse(one),complement(X_474))))),bind(Y,$fot(join(complement(X_474),complement(X_474)))),bind(Z,$fot(complement(meet(X_474,X_474))))]]) ).
cnf(refute_1_513,plain,
( join(complement(X_474),complement(X_474)) != complement(meet(X_474,X_474))
| join(complement(X_474),composition(converse(one),complement(X_474))) = complement(meet(X_474,X_474)) ),
inference(resolve,[$cnf( $equal(join(complement(X_474),composition(converse(one),complement(X_474))),join(complement(X_474),complement(X_474))) )],[refute_1_511,refute_1_512]) ).
cnf(refute_1_514,plain,
join(complement(X_474),composition(converse(one),complement(X_474))) = complement(meet(X_474,X_474)),
inference(resolve,[$cnf( $equal(join(complement(X_474),complement(X_474)),complement(meet(X_474,X_474))) )],[refute_1_497,refute_1_513]) ).
cnf(refute_1_515,plain,
( join(complement(X_474),composition(converse(one),complement(X_474))) != complement(X_474)
| join(complement(X_474),composition(converse(one),complement(X_474))) != complement(meet(X_474,X_474))
| complement(meet(X_474,X_474)) = complement(X_474) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_474),composition(converse(one),complement(X_474))),complement(X_474)) ),[0],$fot(complement(meet(X_474,X_474)))]]) ).
cnf(refute_1_516,plain,
( join(complement(X_474),composition(converse(one),complement(X_474))) != complement(X_474)
| complement(meet(X_474,X_474)) = complement(X_474) ),
inference(resolve,[$cnf( $equal(join(complement(X_474),composition(converse(one),complement(X_474))),complement(meet(X_474,X_474))) )],[refute_1_514,refute_1_515]) ).
cnf(refute_1_517,plain,
complement(meet(X_474,X_474)) = complement(X_474),
inference(resolve,[$cnf( $equal(join(complement(X_474),composition(converse(one),complement(X_474))),complement(X_474)) )],[refute_1_435,refute_1_516]) ).
cnf(refute_1_518,plain,
complement(meet(X_475,X_475)) = complement(X_475),
inference(subst,[],[refute_1_517:[bind(X_474,$fot(X_475))]]) ).
cnf(refute_1_519,plain,
( complement(meet(X_475,X_475)) != complement(X_475)
| top != join(meet(X_475,X_475),complement(meet(X_475,X_475)))
| top = join(meet(X_475,X_475),complement(X_475)) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(meet(X_475,X_475),complement(meet(X_475,X_475)))) ),[1,1],$fot(complement(X_475))]]) ).
cnf(refute_1_520,plain,
( top != join(meet(X_475,X_475),complement(meet(X_475,X_475)))
| top = join(meet(X_475,X_475),complement(X_475)) ),
inference(resolve,[$cnf( $equal(complement(meet(X_475,X_475)),complement(X_475)) )],[refute_1_518,refute_1_519]) ).
cnf(refute_1_521,plain,
top = join(meet(X_475,X_475),complement(X_475)),
inference(resolve,[$cnf( $equal(top,join(meet(X_475,X_475),complement(meet(X_475,X_475)))) )],[refute_1_402,refute_1_520]) ).
cnf(refute_1_522,plain,
join(meet(X_475,X_475),complement(X_475)) = join(complement(X_475),meet(X_475,X_475)),
inference(subst,[],[refute_1_7:[bind(X0,$fot(complement(X_475))),bind(X1,$fot(meet(X_475,X_475)))]]) ).
cnf(refute_1_523,plain,
( join(meet(X_475,X_475),complement(X_475)) != join(complement(X_475),meet(X_475,X_475))
| top != join(meet(X_475,X_475),complement(X_475))
| top = join(complement(X_475),meet(X_475,X_475)) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(meet(X_475,X_475),complement(X_475))) ),[1],$fot(join(complement(X_475),meet(X_475,X_475)))]]) ).
cnf(refute_1_524,plain,
( top != join(meet(X_475,X_475),complement(X_475))
| top = join(complement(X_475),meet(X_475,X_475)) ),
inference(resolve,[$cnf( $equal(join(meet(X_475,X_475),complement(X_475)),join(complement(X_475),meet(X_475,X_475))) )],[refute_1_522,refute_1_523]) ).
cnf(refute_1_525,plain,
top = join(complement(X_475),meet(X_475,X_475)),
inference(resolve,[$cnf( $equal(top,join(meet(X_475,X_475),complement(X_475))) )],[refute_1_521,refute_1_524]) ).
cnf(refute_1_526,plain,
top = join(complement(X_406),meet(X_406,X_406)),
inference(subst,[],[refute_1_525:[bind(X_475,$fot(X_406))]]) ).
cnf(refute_1_527,plain,
( top != join(complement(X_406),meet(X_406,X_406))
| join(complement(X_406),meet(X_406,X_406)) = top ),
inference(subst,[],[refute_1_5:[bind(X,$fot(top)),bind(Y,$fot(join(complement(X_406),meet(X_406,X_406))))]]) ).
cnf(refute_1_528,plain,
join(complement(X_406),meet(X_406,X_406)) = top,
inference(resolve,[$cnf( $equal(top,join(complement(X_406),meet(X_406,X_406))) )],[refute_1_526,refute_1_527]) ).
cnf(refute_1_529,plain,
( join(complement(X_406),meet(X_406,X_406)) != top
| top != join(complement(X_406),join(complement(X_406),meet(X_406,X_406)))
| top = join(complement(X_406),top) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(X_406),join(complement(X_406),meet(X_406,X_406)))) ),[1,1],$fot(top)]]) ).
cnf(refute_1_530,plain,
( top != join(complement(X_406),join(complement(X_406),meet(X_406,X_406)))
| top = join(complement(X_406),top) ),
inference(resolve,[$cnf( $equal(join(complement(X_406),meet(X_406,X_406)),top) )],[refute_1_528,refute_1_529]) ).
cnf(refute_1_531,plain,
top = join(complement(X_406),top),
inference(resolve,[$cnf( $equal(top,join(complement(X_406),join(complement(X_406),meet(X_406,X_406)))) )],[refute_1_401,refute_1_530]) ).
cnf(refute_1_532,plain,
join(top,complement(X_432)) = join(zero,meet(join(top,complement(X_432)),complement(complement(join(top,complement(X_432)))))),
inference(subst,[],[refute_1_223:[bind(X_417,$fot(join(top,complement(X_432))))]]) ).
cnf(refute_1_533,plain,
meet(zero,X_432) = complement(join(top,complement(X_432))),
inference(subst,[],[refute_1_262:[bind(X1,$fot(X_432))]]) ).
cnf(refute_1_534,plain,
( meet(zero,X_432) != complement(join(top,complement(X_432)))
| complement(join(top,complement(X_432))) = meet(zero,X_432) ),
inference(subst,[],[refute_1_5:[bind(X,$fot(meet(zero,X_432))),bind(Y,$fot(complement(join(top,complement(X_432)))))]]) ).
cnf(refute_1_535,plain,
complement(join(top,complement(X_432))) = meet(zero,X_432),
inference(resolve,[$cnf( $equal(meet(zero,X_432),complement(join(top,complement(X_432)))) )],[refute_1_533,refute_1_534]) ).
cnf(refute_1_536,plain,
( complement(join(top,complement(X_432))) != meet(zero,X_432)
| join(top,complement(X_432)) != join(zero,meet(join(top,complement(X_432)),complement(complement(join(top,complement(X_432))))))
| join(top,complement(X_432)) = join(zero,meet(join(top,complement(X_432)),complement(meet(zero,X_432)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(top,complement(X_432)),join(zero,meet(join(top,complement(X_432)),complement(complement(join(top,complement(X_432))))))) ),[1,1,1,0],$fot(meet(zero,X_432))]]) ).
cnf(refute_1_537,plain,
( join(top,complement(X_432)) != join(zero,meet(join(top,complement(X_432)),complement(complement(join(top,complement(X_432))))))
| join(top,complement(X_432)) = join(zero,meet(join(top,complement(X_432)),complement(meet(zero,X_432)))) ),
inference(resolve,[$cnf( $equal(complement(join(top,complement(X_432))),meet(zero,X_432)) )],[refute_1_535,refute_1_536]) ).
cnf(refute_1_538,plain,
join(top,complement(X_432)) = join(zero,meet(join(top,complement(X_432)),complement(meet(zero,X_432)))),
inference(resolve,[$cnf( $equal(join(top,complement(X_432)),join(zero,meet(join(top,complement(X_432)),complement(complement(join(top,complement(X_432))))))) )],[refute_1_532,refute_1_537]) ).
cnf(refute_1_539,plain,
meet(join(top,complement(X_432)),complement(meet(zero,X_432))) = meet(complement(meet(zero,X_432)),join(top,complement(X_432))),
inference(subst,[],[refute_1_307:[bind(X_406,$fot(complement(meet(zero,X_432)))),bind(X_407,$fot(join(top,complement(X_432))))]]) ).
cnf(refute_1_540,plain,
join(zero,meet(join(top,complement(X_432)),complement(meet(zero,X_432)))) = join(zero,meet(join(top,complement(X_432)),complement(meet(zero,X_432)))),
introduced(tautology,[refl,[$fot(join(zero,meet(join(top,complement(X_432)),complement(meet(zero,X_432)))))]]) ).
cnf(refute_1_541,plain,
( join(zero,meet(join(top,complement(X_432)),complement(meet(zero,X_432)))) != join(zero,meet(join(top,complement(X_432)),complement(meet(zero,X_432))))
| meet(join(top,complement(X_432)),complement(meet(zero,X_432))) != meet(complement(meet(zero,X_432)),join(top,complement(X_432)))
| join(zero,meet(join(top,complement(X_432)),complement(meet(zero,X_432)))) = join(zero,meet(complement(meet(zero,X_432)),join(top,complement(X_432)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(join(top,complement(X_432)),complement(meet(zero,X_432)))),join(zero,meet(join(top,complement(X_432)),complement(meet(zero,X_432))))) ),[1,1],$fot(meet(complement(meet(zero,X_432)),join(top,complement(X_432))))]]) ).
cnf(refute_1_542,plain,
( meet(join(top,complement(X_432)),complement(meet(zero,X_432))) != meet(complement(meet(zero,X_432)),join(top,complement(X_432)))
| join(zero,meet(join(top,complement(X_432)),complement(meet(zero,X_432)))) = join(zero,meet(complement(meet(zero,X_432)),join(top,complement(X_432)))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(join(top,complement(X_432)),complement(meet(zero,X_432)))),join(zero,meet(join(top,complement(X_432)),complement(meet(zero,X_432))))) )],[refute_1_540,refute_1_541]) ).
cnf(refute_1_543,plain,
join(zero,meet(join(top,complement(X_432)),complement(meet(zero,X_432)))) = join(zero,meet(complement(meet(zero,X_432)),join(top,complement(X_432)))),
inference(resolve,[$cnf( $equal(meet(join(top,complement(X_432)),complement(meet(zero,X_432))),meet(complement(meet(zero,X_432)),join(top,complement(X_432)))) )],[refute_1_539,refute_1_542]) ).
cnf(refute_1_544,plain,
( join(top,complement(X_432)) != join(zero,meet(join(top,complement(X_432)),complement(meet(zero,X_432))))
| join(zero,meet(join(top,complement(X_432)),complement(meet(zero,X_432)))) != join(zero,meet(complement(meet(zero,X_432)),join(top,complement(X_432))))
| join(top,complement(X_432)) = join(zero,meet(complement(meet(zero,X_432)),join(top,complement(X_432)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(top,complement(X_432)),join(zero,meet(complement(meet(zero,X_432)),join(top,complement(X_432))))) ),[0],$fot(join(zero,meet(join(top,complement(X_432)),complement(meet(zero,X_432)))))]]) ).
cnf(refute_1_545,plain,
( join(top,complement(X_432)) != join(zero,meet(join(top,complement(X_432)),complement(meet(zero,X_432))))
| join(top,complement(X_432)) = join(zero,meet(complement(meet(zero,X_432)),join(top,complement(X_432)))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(join(top,complement(X_432)),complement(meet(zero,X_432)))),join(zero,meet(complement(meet(zero,X_432)),join(top,complement(X_432))))) )],[refute_1_543,refute_1_544]) ).
cnf(refute_1_546,plain,
join(top,complement(X_432)) = join(zero,meet(complement(meet(zero,X_432)),join(top,complement(X_432)))),
inference(resolve,[$cnf( $equal(join(top,complement(X_432)),join(zero,meet(join(top,complement(X_432)),complement(meet(zero,X_432))))) )],[refute_1_538,refute_1_545]) ).
cnf(refute_1_547,plain,
X_417 = join(meet(X_417,complement(X_417)),complement(join(complement(X_417),complement(X_417)))),
inference(subst,[],[refute_1_114:[bind(X0,$fot(X_417)),bind(X1,$fot(complement(X_417)))]]) ).
cnf(refute_1_548,plain,
zero = meet(X_417,complement(X_417)),
inference(subst,[],[refute_1_61:[bind(X0,$fot(X_417))]]) ).
cnf(refute_1_549,plain,
( zero != meet(X_417,complement(X_417))
| meet(X_417,complement(X_417)) = zero ),
inference(subst,[],[refute_1_5:[bind(X,$fot(zero)),bind(Y,$fot(meet(X_417,complement(X_417))))]]) ).
cnf(refute_1_550,plain,
meet(X_417,complement(X_417)) = zero,
inference(resolve,[$cnf( $equal(zero,meet(X_417,complement(X_417))) )],[refute_1_548,refute_1_549]) ).
cnf(refute_1_551,plain,
( X_417 != join(meet(X_417,complement(X_417)),complement(join(complement(X_417),complement(X_417))))
| meet(X_417,complement(X_417)) != zero
| X_417 = join(zero,complement(join(complement(X_417),complement(X_417)))) ),
introduced(tautology,[equality,[$cnf( $equal(X_417,join(meet(X_417,complement(X_417)),complement(join(complement(X_417),complement(X_417))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_1_552,plain,
( X_417 != join(meet(X_417,complement(X_417)),complement(join(complement(X_417),complement(X_417))))
| X_417 = join(zero,complement(join(complement(X_417),complement(X_417)))) ),
inference(resolve,[$cnf( $equal(meet(X_417,complement(X_417)),zero) )],[refute_1_550,refute_1_551]) ).
cnf(refute_1_553,plain,
X_417 = join(zero,complement(join(complement(X_417),complement(X_417)))),
inference(resolve,[$cnf( $equal(X_417,join(meet(X_417,complement(X_417)),complement(join(complement(X_417),complement(X_417))))) )],[refute_1_547,refute_1_552]) ).
cnf(refute_1_554,plain,
complement(join(complement(X_417),complement(X_417))) = meet(X_417,X_417),
inference(subst,[],[refute_1_104:[bind(X0,$fot(X_417)),bind(X1,$fot(X_417))]]) ).
cnf(refute_1_555,plain,
join(zero,complement(join(complement(X_417),complement(X_417)))) = join(zero,complement(join(complement(X_417),complement(X_417)))),
introduced(tautology,[refl,[$fot(join(zero,complement(join(complement(X_417),complement(X_417)))))]]) ).
cnf(refute_1_556,plain,
( complement(join(complement(X_417),complement(X_417))) != meet(X_417,X_417)
| join(zero,complement(join(complement(X_417),complement(X_417)))) != join(zero,complement(join(complement(X_417),complement(X_417))))
| join(zero,complement(join(complement(X_417),complement(X_417)))) = join(zero,meet(X_417,X_417)) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,complement(join(complement(X_417),complement(X_417)))),join(zero,complement(join(complement(X_417),complement(X_417))))) ),[1,1],$fot(meet(X_417,X_417))]]) ).
cnf(refute_1_557,plain,
( complement(join(complement(X_417),complement(X_417))) != meet(X_417,X_417)
| join(zero,complement(join(complement(X_417),complement(X_417)))) = join(zero,meet(X_417,X_417)) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(complement(X_417),complement(X_417)))),join(zero,complement(join(complement(X_417),complement(X_417))))) )],[refute_1_555,refute_1_556]) ).
cnf(refute_1_558,plain,
join(zero,complement(join(complement(X_417),complement(X_417)))) = join(zero,meet(X_417,X_417)),
inference(resolve,[$cnf( $equal(complement(join(complement(X_417),complement(X_417))),meet(X_417,X_417)) )],[refute_1_554,refute_1_557]) ).
cnf(refute_1_559,plain,
( X_417 != join(zero,complement(join(complement(X_417),complement(X_417))))
| join(zero,complement(join(complement(X_417),complement(X_417)))) != join(zero,meet(X_417,X_417))
| X_417 = join(zero,meet(X_417,X_417)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_417,join(zero,meet(X_417,X_417))) ),[0],$fot(join(zero,complement(join(complement(X_417),complement(X_417)))))]]) ).
cnf(refute_1_560,plain,
( X_417 != join(zero,complement(join(complement(X_417),complement(X_417))))
| X_417 = join(zero,meet(X_417,X_417)) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(complement(X_417),complement(X_417)))),join(zero,meet(X_417,X_417))) )],[refute_1_558,refute_1_559]) ).
cnf(refute_1_561,plain,
X_417 = join(zero,meet(X_417,X_417)),
inference(resolve,[$cnf( $equal(X_417,join(zero,complement(join(complement(X_417),complement(X_417))))) )],[refute_1_553,refute_1_560]) ).
cnf(refute_1_562,plain,
( X_417 != join(zero,meet(X_417,X_417))
| join(zero,meet(X_417,X_417)) = X_417 ),
inference(subst,[],[refute_1_5:[bind(X,$fot(X_417)),bind(Y,$fot(join(zero,meet(X_417,X_417))))]]) ).
cnf(refute_1_563,plain,
join(zero,meet(X_417,X_417)) = X_417,
inference(resolve,[$cnf( $equal(X_417,join(zero,meet(X_417,X_417))) )],[refute_1_561,refute_1_562]) ).
cnf(refute_1_564,plain,
join(zero,meet(complement(meet(zero,X_432)),complement(meet(zero,X_432)))) = complement(meet(zero,X_432)),
inference(subst,[],[refute_1_563:[bind(X_417,$fot(complement(meet(zero,X_432))))]]) ).
cnf(refute_1_565,plain,
meet(X0,join(top,complement(X_432))) = complement(join(complement(X0),complement(join(top,complement(X_432))))),
inference(subst,[],[refute_1_63:[bind(X1,$fot(join(top,complement(X_432))))]]) ).
cnf(refute_1_566,plain,
( complement(join(top,complement(X_432))) != meet(zero,X_432)
| meet(X0,join(top,complement(X_432))) != complement(join(complement(X0),complement(join(top,complement(X_432)))))
| meet(X0,join(top,complement(X_432))) = complement(join(complement(X0),meet(zero,X_432))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X0,join(top,complement(X_432))),complement(join(complement(X0),complement(join(top,complement(X_432)))))) ),[1,0,1],$fot(meet(zero,X_432))]]) ).
cnf(refute_1_567,plain,
( meet(X0,join(top,complement(X_432))) != complement(join(complement(X0),complement(join(top,complement(X_432)))))
| meet(X0,join(top,complement(X_432))) = complement(join(complement(X0),meet(zero,X_432))) ),
inference(resolve,[$cnf( $equal(complement(join(top,complement(X_432))),meet(zero,X_432)) )],[refute_1_535,refute_1_566]) ).
cnf(refute_1_568,plain,
meet(X0,join(top,complement(X_432))) = complement(join(complement(X0),meet(zero,X_432))),
inference(resolve,[$cnf( $equal(meet(X0,join(top,complement(X_432))),complement(join(complement(X0),complement(join(top,complement(X_432)))))) )],[refute_1_565,refute_1_567]) ).
cnf(refute_1_569,plain,
join(complement(X_406),complement(X_407)) = complement(meet(X_406,X_407)),
inference(subst,[],[refute_1_496:[bind(X0,$fot(X_406)),bind(X1,$fot(X_407))]]) ).
cnf(refute_1_570,plain,
meet(X0,join(complement(X_406),complement(X_407))) = meet(X0,join(complement(X_406),complement(X_407))),
introduced(tautology,[refl,[$fot(meet(X0,join(complement(X_406),complement(X_407))))]]) ).
cnf(refute_1_571,plain,
( join(complement(X_406),complement(X_407)) != complement(meet(X_406,X_407))
| meet(X0,join(complement(X_406),complement(X_407))) != meet(X0,join(complement(X_406),complement(X_407)))
| meet(X0,join(complement(X_406),complement(X_407))) = meet(X0,complement(meet(X_406,X_407))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X0,join(complement(X_406),complement(X_407))),meet(X0,join(complement(X_406),complement(X_407)))) ),[1,1],$fot(complement(meet(X_406,X_407)))]]) ).
cnf(refute_1_572,plain,
( join(complement(X_406),complement(X_407)) != complement(meet(X_406,X_407))
| meet(X0,join(complement(X_406),complement(X_407))) = meet(X0,complement(meet(X_406,X_407))) ),
inference(resolve,[$cnf( $equal(meet(X0,join(complement(X_406),complement(X_407))),meet(X0,join(complement(X_406),complement(X_407)))) )],[refute_1_570,refute_1_571]) ).
cnf(refute_1_573,plain,
meet(X0,join(complement(X_406),complement(X_407))) = meet(X0,complement(meet(X_406,X_407))),
inference(resolve,[$cnf( $equal(join(complement(X_406),complement(X_407)),complement(meet(X_406,X_407))) )],[refute_1_569,refute_1_572]) ).
cnf(refute_1_574,plain,
( meet(X0,join(complement(X_406),complement(X_407))) != complement(join(complement(X0),meet(X_406,X_407)))
| meet(X0,join(complement(X_406),complement(X_407))) != meet(X0,complement(meet(X_406,X_407)))
| meet(X0,complement(meet(X_406,X_407))) = complement(join(complement(X0),meet(X_406,X_407))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X0,join(complement(X_406),complement(X_407))),complement(join(complement(X0),meet(X_406,X_407)))) ),[0],$fot(meet(X0,complement(meet(X_406,X_407))))]]) ).
cnf(refute_1_575,plain,
( meet(X0,join(complement(X_406),complement(X_407))) != complement(join(complement(X0),meet(X_406,X_407)))
| meet(X0,complement(meet(X_406,X_407))) = complement(join(complement(X0),meet(X_406,X_407))) ),
inference(resolve,[$cnf( $equal(meet(X0,join(complement(X_406),complement(X_407))),meet(X0,complement(meet(X_406,X_407)))) )],[refute_1_573,refute_1_574]) ).
cnf(refute_1_576,plain,
meet(X0,complement(meet(X_406,X_407))) = complement(join(complement(X0),meet(X_406,X_407))),
inference(resolve,[$cnf( $equal(meet(X0,join(complement(X_406),complement(X_407))),complement(join(complement(X0),meet(X_406,X_407)))) )],[refute_1_448,refute_1_575]) ).
cnf(refute_1_577,plain,
( meet(X0,complement(meet(X_406,X_407))) != complement(join(complement(X0),meet(X_406,X_407)))
| complement(join(complement(X0),meet(X_406,X_407))) = meet(X0,complement(meet(X_406,X_407))) ),
inference(subst,[],[refute_1_5:[bind(X,$fot(meet(X0,complement(meet(X_406,X_407))))),bind(Y,$fot(complement(join(complement(X0),meet(X_406,X_407)))))]]) ).
cnf(refute_1_578,plain,
complement(join(complement(X0),meet(X_406,X_407))) = meet(X0,complement(meet(X_406,X_407))),
inference(resolve,[$cnf( $equal(meet(X0,complement(meet(X_406,X_407))),complement(join(complement(X0),meet(X_406,X_407)))) )],[refute_1_576,refute_1_577]) ).
cnf(refute_1_579,plain,
complement(join(complement(X0),meet(zero,X_432))) = meet(X0,complement(meet(zero,X_432))),
inference(subst,[],[refute_1_578:[bind(X_406,$fot(zero)),bind(X_407,$fot(X_432))]]) ).
cnf(refute_1_580,plain,
( complement(join(complement(X0),meet(zero,X_432))) != meet(X0,complement(meet(zero,X_432)))
| meet(X0,join(top,complement(X_432))) != complement(join(complement(X0),meet(zero,X_432)))
| meet(X0,join(top,complement(X_432))) = meet(X0,complement(meet(zero,X_432))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X0,join(top,complement(X_432))),complement(join(complement(X0),meet(zero,X_432)))) ),[1],$fot(meet(X0,complement(meet(zero,X_432))))]]) ).
cnf(refute_1_581,plain,
( meet(X0,join(top,complement(X_432))) != complement(join(complement(X0),meet(zero,X_432)))
| meet(X0,join(top,complement(X_432))) = meet(X0,complement(meet(zero,X_432))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X0),meet(zero,X_432))),meet(X0,complement(meet(zero,X_432)))) )],[refute_1_579,refute_1_580]) ).
cnf(refute_1_582,plain,
meet(X0,join(top,complement(X_432))) = meet(X0,complement(meet(zero,X_432))),
inference(resolve,[$cnf( $equal(meet(X0,join(top,complement(X_432))),complement(join(complement(X0),meet(zero,X_432)))) )],[refute_1_568,refute_1_581]) ).
cnf(refute_1_583,plain,
meet(complement(meet(zero,X_432)),join(top,complement(X_432))) = meet(complement(meet(zero,X_432)),complement(meet(zero,X_432))),
inference(subst,[],[refute_1_582:[bind(X0,$fot(complement(meet(zero,X_432))))]]) ).
cnf(refute_1_584,plain,
join(zero,meet(complement(meet(zero,X_432)),join(top,complement(X_432)))) = join(zero,meet(complement(meet(zero,X_432)),join(top,complement(X_432)))),
introduced(tautology,[refl,[$fot(join(zero,meet(complement(meet(zero,X_432)),join(top,complement(X_432)))))]]) ).
cnf(refute_1_585,plain,
( join(zero,meet(complement(meet(zero,X_432)),join(top,complement(X_432)))) != join(zero,meet(complement(meet(zero,X_432)),join(top,complement(X_432))))
| meet(complement(meet(zero,X_432)),join(top,complement(X_432))) != meet(complement(meet(zero,X_432)),complement(meet(zero,X_432)))
| join(zero,meet(complement(meet(zero,X_432)),join(top,complement(X_432)))) = join(zero,meet(complement(meet(zero,X_432)),complement(meet(zero,X_432)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(complement(meet(zero,X_432)),join(top,complement(X_432)))),join(zero,meet(complement(meet(zero,X_432)),join(top,complement(X_432))))) ),[1,1],$fot(meet(complement(meet(zero,X_432)),complement(meet(zero,X_432))))]]) ).
cnf(refute_1_586,plain,
( meet(complement(meet(zero,X_432)),join(top,complement(X_432))) != meet(complement(meet(zero,X_432)),complement(meet(zero,X_432)))
| join(zero,meet(complement(meet(zero,X_432)),join(top,complement(X_432)))) = join(zero,meet(complement(meet(zero,X_432)),complement(meet(zero,X_432)))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(meet(zero,X_432)),join(top,complement(X_432)))),join(zero,meet(complement(meet(zero,X_432)),join(top,complement(X_432))))) )],[refute_1_584,refute_1_585]) ).
cnf(refute_1_587,plain,
join(zero,meet(complement(meet(zero,X_432)),join(top,complement(X_432)))) = join(zero,meet(complement(meet(zero,X_432)),complement(meet(zero,X_432)))),
inference(resolve,[$cnf( $equal(meet(complement(meet(zero,X_432)),join(top,complement(X_432))),meet(complement(meet(zero,X_432)),complement(meet(zero,X_432)))) )],[refute_1_583,refute_1_586]) ).
cnf(refute_1_588,plain,
( join(zero,meet(complement(meet(zero,X_432)),complement(meet(zero,X_432)))) != complement(meet(zero,X_432))
| join(zero,meet(complement(meet(zero,X_432)),join(top,complement(X_432)))) != join(zero,meet(complement(meet(zero,X_432)),complement(meet(zero,X_432))))
| join(zero,meet(complement(meet(zero,X_432)),join(top,complement(X_432)))) = complement(meet(zero,X_432)) ),
inference(subst,[],[refute_1_52:[bind(X,$fot(join(zero,meet(complement(meet(zero,X_432)),join(top,complement(X_432)))))),bind(Y,$fot(join(zero,meet(complement(meet(zero,X_432)),complement(meet(zero,X_432)))))),bind(Z,$fot(complement(meet(zero,X_432))))]]) ).
cnf(refute_1_589,plain,
( join(zero,meet(complement(meet(zero,X_432)),complement(meet(zero,X_432)))) != complement(meet(zero,X_432))
| join(zero,meet(complement(meet(zero,X_432)),join(top,complement(X_432)))) = complement(meet(zero,X_432)) ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(meet(zero,X_432)),join(top,complement(X_432)))),join(zero,meet(complement(meet(zero,X_432)),complement(meet(zero,X_432))))) )],[refute_1_587,refute_1_588]) ).
cnf(refute_1_590,plain,
join(zero,meet(complement(meet(zero,X_432)),join(top,complement(X_432)))) = complement(meet(zero,X_432)),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(meet(zero,X_432)),complement(meet(zero,X_432)))),complement(meet(zero,X_432))) )],[refute_1_564,refute_1_589]) ).
cnf(refute_1_591,plain,
( join(top,complement(X_432)) != join(zero,meet(complement(meet(zero,X_432)),join(top,complement(X_432))))
| join(zero,meet(complement(meet(zero,X_432)),join(top,complement(X_432)))) != complement(meet(zero,X_432))
| join(top,complement(X_432)) = complement(meet(zero,X_432)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(top,complement(X_432)),complement(meet(zero,X_432))) ),[0],$fot(join(zero,meet(complement(meet(zero,X_432)),join(top,complement(X_432)))))]]) ).
cnf(refute_1_592,plain,
( join(top,complement(X_432)) != join(zero,meet(complement(meet(zero,X_432)),join(top,complement(X_432))))
| join(top,complement(X_432)) = complement(meet(zero,X_432)) ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(meet(zero,X_432)),join(top,complement(X_432)))),complement(meet(zero,X_432))) )],[refute_1_590,refute_1_591]) ).
cnf(refute_1_593,plain,
join(top,complement(X_432)) = complement(meet(zero,X_432)),
inference(resolve,[$cnf( $equal(join(top,complement(X_432)),join(zero,meet(complement(meet(zero,X_432)),join(top,complement(X_432))))) )],[refute_1_546,refute_1_592]) ).
cnf(refute_1_594,plain,
join(top,complement(X_406)) = complement(meet(zero,X_406)),
inference(subst,[],[refute_1_593:[bind(X_432,$fot(X_406))]]) ).
cnf(refute_1_595,plain,
join(X_465,join(complement(X_412),join(zero,meet(X_412,top)))) = join(join(X_465,complement(X_412)),join(zero,meet(X_412,top))),
inference(subst,[],[refute_1_160:[bind(X0,$fot(X_465)),bind(X1,$fot(complement(X_412))),bind(X2,$fot(join(zero,meet(X_412,top))))]]) ).
cnf(refute_1_596,plain,
( top != join(complement(X_412),join(zero,meet(X_412,top)))
| join(complement(X_412),join(zero,meet(X_412,top))) = top ),
inference(subst,[],[refute_1_5:[bind(X,$fot(top)),bind(Y,$fot(join(complement(X_412),join(zero,meet(X_412,top)))))]]) ).
cnf(refute_1_597,plain,
join(complement(X_412),join(zero,meet(X_412,top))) = top,
inference(resolve,[$cnf( $equal(top,join(complement(X_412),join(zero,meet(X_412,top)))) )],[refute_1_170,refute_1_596]) ).
cnf(refute_1_598,plain,
( join(X_465,join(complement(X_412),join(zero,meet(X_412,top)))) != join(join(X_465,complement(X_412)),join(zero,meet(X_412,top)))
| join(complement(X_412),join(zero,meet(X_412,top))) != top
| join(X_465,top) = join(join(X_465,complement(X_412)),join(zero,meet(X_412,top))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_465,join(complement(X_412),join(zero,meet(X_412,top)))),join(join(X_465,complement(X_412)),join(zero,meet(X_412,top)))) ),[0,1],$fot(top)]]) ).
cnf(refute_1_599,plain,
( join(X_465,join(complement(X_412),join(zero,meet(X_412,top)))) != join(join(X_465,complement(X_412)),join(zero,meet(X_412,top)))
| join(X_465,top) = join(join(X_465,complement(X_412)),join(zero,meet(X_412,top))) ),
inference(resolve,[$cnf( $equal(join(complement(X_412),join(zero,meet(X_412,top))),top) )],[refute_1_597,refute_1_598]) ).
cnf(refute_1_600,plain,
join(X_465,top) = join(join(X_465,complement(X_412)),join(zero,meet(X_412,top))),
inference(resolve,[$cnf( $equal(join(X_465,join(complement(X_412),join(zero,meet(X_412,top)))),join(join(X_465,complement(X_412)),join(zero,meet(X_412,top)))) )],[refute_1_595,refute_1_599]) ).
cnf(refute_1_601,plain,
join(X0,join(X_465,X_466)) = join(join(X_465,X_466),X0),
inference(subst,[],[refute_1_2:[bind(X1,$fot(join(X_465,X_466)))]]) ).
cnf(refute_1_602,plain,
join(X_465,join(X_466,X0)) = join(join(X_465,X_466),X0),
inference(subst,[],[refute_1_160:[bind(X0,$fot(X_465)),bind(X1,$fot(X_466)),bind(X2,$fot(X0))]]) ).
cnf(refute_1_603,plain,
( join(X_465,join(X_466,X0)) != join(join(X_465,X_466),X0)
| join(join(X_465,X_466),X0) = join(X_465,join(X_466,X0)) ),
inference(subst,[],[refute_1_5:[bind(X,$fot(join(X_465,join(X_466,X0)))),bind(Y,$fot(join(join(X_465,X_466),X0)))]]) ).
cnf(refute_1_604,plain,
join(join(X_465,X_466),X0) = join(X_465,join(X_466,X0)),
inference(resolve,[$cnf( $equal(join(X_465,join(X_466,X0)),join(join(X_465,X_466),X0)) )],[refute_1_602,refute_1_603]) ).
cnf(refute_1_605,plain,
( join(X0,join(X_465,X_466)) != join(join(X_465,X_466),X0)
| join(join(X_465,X_466),X0) != join(X_465,join(X_466,X0))
| join(X0,join(X_465,X_466)) = join(X_465,join(X_466,X0)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X0,join(X_465,X_466)),join(X_465,join(X_466,X0))) ),[0],$fot(join(join(X_465,X_466),X0))]]) ).
cnf(refute_1_606,plain,
( join(X0,join(X_465,X_466)) != join(join(X_465,X_466),X0)
| join(X0,join(X_465,X_466)) = join(X_465,join(X_466,X0)) ),
inference(resolve,[$cnf( $equal(join(join(X_465,X_466),X0),join(X_465,join(X_466,X0))) )],[refute_1_604,refute_1_605]) ).
cnf(refute_1_607,plain,
join(X0,join(X_465,X_466)) = join(X_465,join(X_466,X0)),
inference(resolve,[$cnf( $equal(join(X0,join(X_465,X_466)),join(join(X_465,X_466),X0)) )],[refute_1_601,refute_1_606]) ).
cnf(refute_1_608,plain,
( join(X0,join(X_465,X_466)) != join(X_465,join(X_466,X0))
| join(X_465,join(X_466,X0)) = join(X0,join(X_465,X_466)) ),
inference(subst,[],[refute_1_5:[bind(X,$fot(join(X0,join(X_465,X_466)))),bind(Y,$fot(join(X_465,join(X_466,X0))))]]) ).
cnf(refute_1_609,plain,
join(X_465,join(X_466,X0)) = join(X0,join(X_465,X_466)),
inference(resolve,[$cnf( $equal(join(X0,join(X_465,X_466)),join(X_465,join(X_466,X0))) )],[refute_1_607,refute_1_608]) ).
cnf(refute_1_610,plain,
join(meet(X_412,top),join(X_465,complement(X_412))) = join(complement(X_412),join(meet(X_412,top),X_465)),
inference(subst,[],[refute_1_609:[bind(X0,$fot(complement(X_412))),bind(X_465,$fot(meet(X_412,top))),bind(X_466,$fot(X_465))]]) ).
cnf(refute_1_611,plain,
join(zero,join(meet(X_412,top),join(X_465,complement(X_412)))) = join(zero,join(meet(X_412,top),join(X_465,complement(X_412)))),
introduced(tautology,[refl,[$fot(join(zero,join(meet(X_412,top),join(X_465,complement(X_412)))))]]) ).
cnf(refute_1_612,plain,
( join(meet(X_412,top),join(X_465,complement(X_412))) != join(complement(X_412),join(meet(X_412,top),X_465))
| join(zero,join(meet(X_412,top),join(X_465,complement(X_412)))) != join(zero,join(meet(X_412,top),join(X_465,complement(X_412))))
| join(zero,join(meet(X_412,top),join(X_465,complement(X_412)))) = join(zero,join(complement(X_412),join(meet(X_412,top),X_465))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,join(meet(X_412,top),join(X_465,complement(X_412)))),join(zero,join(meet(X_412,top),join(X_465,complement(X_412))))) ),[1,1],$fot(join(complement(X_412),join(meet(X_412,top),X_465)))]]) ).
cnf(refute_1_613,plain,
( join(meet(X_412,top),join(X_465,complement(X_412))) != join(complement(X_412),join(meet(X_412,top),X_465))
| join(zero,join(meet(X_412,top),join(X_465,complement(X_412)))) = join(zero,join(complement(X_412),join(meet(X_412,top),X_465))) ),
inference(resolve,[$cnf( $equal(join(zero,join(meet(X_412,top),join(X_465,complement(X_412)))),join(zero,join(meet(X_412,top),join(X_465,complement(X_412))))) )],[refute_1_611,refute_1_612]) ).
cnf(refute_1_614,plain,
join(zero,join(meet(X_412,top),join(X_465,complement(X_412)))) = join(zero,join(complement(X_412),join(meet(X_412,top),X_465))),
inference(resolve,[$cnf( $equal(join(meet(X_412,top),join(X_465,complement(X_412))),join(complement(X_412),join(meet(X_412,top),X_465))) )],[refute_1_610,refute_1_613]) ).
cnf(refute_1_615,plain,
join(meet(X_412,top),join(join(X_465,complement(X_412)),zero)) = join(zero,join(meet(X_412,top),join(X_465,complement(X_412)))),
inference(subst,[],[refute_1_609:[bind(X0,$fot(zero)),bind(X_465,$fot(meet(X_412,top))),bind(X_466,$fot(join(X_465,complement(X_412))))]]) ).
cnf(refute_1_616,plain,
join(join(X_465,complement(X_412)),join(zero,meet(X_412,top))) = join(meet(X_412,top),join(join(X_465,complement(X_412)),zero)),
inference(subst,[],[refute_1_609:[bind(X0,$fot(meet(X_412,top))),bind(X_465,$fot(join(X_465,complement(X_412)))),bind(X_466,$fot(zero))]]) ).
cnf(refute_1_617,plain,
( join(join(X_465,complement(X_412)),join(zero,meet(X_412,top))) != join(meet(X_412,top),join(join(X_465,complement(X_412)),zero))
| join(meet(X_412,top),join(join(X_465,complement(X_412)),zero)) != join(zero,join(meet(X_412,top),join(X_465,complement(X_412))))
| join(join(X_465,complement(X_412)),join(zero,meet(X_412,top))) = join(zero,join(meet(X_412,top),join(X_465,complement(X_412)))) ),
inference(subst,[],[refute_1_52:[bind(X,$fot(join(join(X_465,complement(X_412)),join(zero,meet(X_412,top))))),bind(Y,$fot(join(meet(X_412,top),join(join(X_465,complement(X_412)),zero)))),bind(Z,$fot(join(zero,join(meet(X_412,top),join(X_465,complement(X_412))))))]]) ).
cnf(refute_1_618,plain,
( join(meet(X_412,top),join(join(X_465,complement(X_412)),zero)) != join(zero,join(meet(X_412,top),join(X_465,complement(X_412))))
| join(join(X_465,complement(X_412)),join(zero,meet(X_412,top))) = join(zero,join(meet(X_412,top),join(X_465,complement(X_412)))) ),
inference(resolve,[$cnf( $equal(join(join(X_465,complement(X_412)),join(zero,meet(X_412,top))),join(meet(X_412,top),join(join(X_465,complement(X_412)),zero))) )],[refute_1_616,refute_1_617]) ).
cnf(refute_1_619,plain,
join(join(X_465,complement(X_412)),join(zero,meet(X_412,top))) = join(zero,join(meet(X_412,top),join(X_465,complement(X_412)))),
inference(resolve,[$cnf( $equal(join(meet(X_412,top),join(join(X_465,complement(X_412)),zero)),join(zero,join(meet(X_412,top),join(X_465,complement(X_412))))) )],[refute_1_615,refute_1_618]) ).
cnf(refute_1_620,plain,
( join(join(X_465,complement(X_412)),join(zero,meet(X_412,top))) != join(zero,join(meet(X_412,top),join(X_465,complement(X_412))))
| join(zero,join(meet(X_412,top),join(X_465,complement(X_412)))) != join(zero,join(complement(X_412),join(meet(X_412,top),X_465)))
| join(join(X_465,complement(X_412)),join(zero,meet(X_412,top))) = join(zero,join(complement(X_412),join(meet(X_412,top),X_465))) ),
inference(subst,[],[refute_1_52:[bind(X,$fot(join(join(X_465,complement(X_412)),join(zero,meet(X_412,top))))),bind(Y,$fot(join(zero,join(meet(X_412,top),join(X_465,complement(X_412)))))),bind(Z,$fot(join(zero,join(complement(X_412),join(meet(X_412,top),X_465)))))]]) ).
cnf(refute_1_621,plain,
( join(zero,join(meet(X_412,top),join(X_465,complement(X_412)))) != join(zero,join(complement(X_412),join(meet(X_412,top),X_465)))
| join(join(X_465,complement(X_412)),join(zero,meet(X_412,top))) = join(zero,join(complement(X_412),join(meet(X_412,top),X_465))) ),
inference(resolve,[$cnf( $equal(join(join(X_465,complement(X_412)),join(zero,meet(X_412,top))),join(zero,join(meet(X_412,top),join(X_465,complement(X_412))))) )],[refute_1_619,refute_1_620]) ).
cnf(refute_1_622,plain,
join(join(X_465,complement(X_412)),join(zero,meet(X_412,top))) = join(zero,join(complement(X_412),join(meet(X_412,top),X_465))),
inference(resolve,[$cnf( $equal(join(zero,join(meet(X_412,top),join(X_465,complement(X_412)))),join(zero,join(complement(X_412),join(meet(X_412,top),X_465)))) )],[refute_1_614,refute_1_621]) ).
cnf(refute_1_623,plain,
( join(X_465,top) != join(join(X_465,complement(X_412)),join(zero,meet(X_412,top)))
| join(join(X_465,complement(X_412)),join(zero,meet(X_412,top))) != join(zero,join(complement(X_412),join(meet(X_412,top),X_465)))
| join(X_465,top) = join(zero,join(complement(X_412),join(meet(X_412,top),X_465))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_465,top),join(zero,join(complement(X_412),join(meet(X_412,top),X_465)))) ),[0],$fot(join(join(X_465,complement(X_412)),join(zero,meet(X_412,top))))]]) ).
cnf(refute_1_624,plain,
( join(X_465,top) != join(join(X_465,complement(X_412)),join(zero,meet(X_412,top)))
| join(X_465,top) = join(zero,join(complement(X_412),join(meet(X_412,top),X_465))) ),
inference(resolve,[$cnf( $equal(join(join(X_465,complement(X_412)),join(zero,meet(X_412,top))),join(zero,join(complement(X_412),join(meet(X_412,top),X_465)))) )],[refute_1_622,refute_1_623]) ).
cnf(refute_1_625,plain,
join(X_465,top) = join(zero,join(complement(X_412),join(meet(X_412,top),X_465))),
inference(resolve,[$cnf( $equal(join(X_465,top),join(join(X_465,complement(X_412)),join(zero,meet(X_412,top)))) )],[refute_1_600,refute_1_624]) ).
cnf(refute_1_626,plain,
join(top,join(zero,X_467)) = join(join(top,zero),X_467),
inference(subst,[],[refute_1_160:[bind(X0,$fot(top)),bind(X1,$fot(zero)),bind(X2,$fot(X_467))]]) ).
cnf(refute_1_627,plain,
top = join(top,complement(top)),
inference(subst,[],[refute_1_70:[bind(X0,$fot(top))]]) ).
cnf(refute_1_628,plain,
( complement(top) != zero
| top != join(top,complement(top))
| top = join(top,zero) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(top,complement(top))) ),[1,1],$fot(zero)]]) ).
cnf(refute_1_629,plain,
( top != join(top,complement(top))
| top = join(top,zero) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_1_90,refute_1_628]) ).
cnf(refute_1_630,plain,
top = join(top,zero),
inference(resolve,[$cnf( $equal(top,join(top,complement(top))) )],[refute_1_627,refute_1_629]) ).
cnf(refute_1_631,plain,
( top != join(top,zero)
| join(top,zero) = top ),
inference(subst,[],[refute_1_5:[bind(X,$fot(top)),bind(Y,$fot(join(top,zero)))]]) ).
cnf(refute_1_632,plain,
join(top,zero) = top,
inference(resolve,[$cnf( $equal(top,join(top,zero)) )],[refute_1_630,refute_1_631]) ).
cnf(refute_1_633,plain,
( join(top,join(zero,X_467)) != join(join(top,zero),X_467)
| join(top,zero) != top
| join(top,join(zero,X_467)) = join(top,X_467) ),
introduced(tautology,[equality,[$cnf( $equal(join(top,join(zero,X_467)),join(join(top,zero),X_467)) ),[1,0],$fot(top)]]) ).
cnf(refute_1_634,plain,
( join(top,join(zero,X_467)) != join(join(top,zero),X_467)
| join(top,join(zero,X_467)) = join(top,X_467) ),
inference(resolve,[$cnf( $equal(join(top,zero),top) )],[refute_1_632,refute_1_633]) ).
cnf(refute_1_635,plain,
join(top,join(zero,X_467)) = join(top,X_467),
inference(resolve,[$cnf( $equal(join(top,join(zero,X_467)),join(join(top,zero),X_467)) )],[refute_1_626,refute_1_634]) ).
cnf(refute_1_636,plain,
join(top,join(zero,X_465)) = join(top,X_465),
inference(subst,[],[refute_1_635:[bind(X_467,$fot(X_465))]]) ).
cnf(refute_1_637,plain,
join(X_465,join(X_466,X_467)) = join(join(X_465,X_466),X_467),
inference(subst,[],[refute_1_160:[bind(X0,$fot(X_465)),bind(X1,$fot(X_466)),bind(X2,$fot(X_467))]]) ).
cnf(refute_1_638,plain,
join(X_466,X_465) = join(X_465,X_466),
inference(subst,[],[refute_1_2:[bind(X0,$fot(X_466)),bind(X1,$fot(X_465))]]) ).
cnf(refute_1_639,plain,
( join(X_466,X_465) != join(X_465,X_466)
| join(X_465,X_466) = join(X_466,X_465) ),
inference(subst,[],[refute_1_5:[bind(X,$fot(join(X_466,X_465))),bind(Y,$fot(join(X_465,X_466)))]]) ).
cnf(refute_1_640,plain,
join(X_465,X_466) = join(X_466,X_465),
inference(resolve,[$cnf( $equal(join(X_466,X_465),join(X_465,X_466)) )],[refute_1_638,refute_1_639]) ).
cnf(refute_1_641,plain,
( join(X_465,X_466) != join(X_466,X_465)
| join(X_465,join(X_466,X_467)) != join(join(X_465,X_466),X_467)
| join(X_465,join(X_466,X_467)) = join(join(X_466,X_465),X_467) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_465,join(X_466,X_467)),join(join(X_465,X_466),X_467)) ),[1,0],$fot(join(X_466,X_465))]]) ).
cnf(refute_1_642,plain,
( join(X_465,join(X_466,X_467)) != join(join(X_465,X_466),X_467)
| join(X_465,join(X_466,X_467)) = join(join(X_466,X_465),X_467) ),
inference(resolve,[$cnf( $equal(join(X_465,X_466),join(X_466,X_465)) )],[refute_1_640,refute_1_641]) ).
cnf(refute_1_643,plain,
join(X_465,join(X_466,X_467)) = join(join(X_466,X_465),X_467),
inference(resolve,[$cnf( $equal(join(X_465,join(X_466,X_467)),join(join(X_465,X_466),X_467)) )],[refute_1_637,refute_1_642]) ).
cnf(refute_1_644,plain,
join(join(X_466,X_465),X_467) = join(X_466,join(X_465,X_467)),
inference(subst,[],[refute_1_162:[bind(X0,$fot(X_466)),bind(X1,$fot(X_465)),bind(X2,$fot(X_467))]]) ).
cnf(refute_1_645,plain,
( join(X_465,join(X_466,X_467)) != join(join(X_466,X_465),X_467)
| join(join(X_466,X_465),X_467) != join(X_466,join(X_465,X_467))
| join(X_465,join(X_466,X_467)) = join(X_466,join(X_465,X_467)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_465,join(X_466,X_467)),join(X_466,join(X_465,X_467))) ),[0],$fot(join(join(X_466,X_465),X_467))]]) ).
cnf(refute_1_646,plain,
( join(X_465,join(X_466,X_467)) != join(join(X_466,X_465),X_467)
| join(X_465,join(X_466,X_467)) = join(X_466,join(X_465,X_467)) ),
inference(resolve,[$cnf( $equal(join(join(X_466,X_465),X_467),join(X_466,join(X_465,X_467))) )],[refute_1_644,refute_1_645]) ).
cnf(refute_1_647,plain,
join(X_465,join(X_466,X_467)) = join(X_466,join(X_465,X_467)),
inference(resolve,[$cnf( $equal(join(X_465,join(X_466,X_467)),join(join(X_466,X_465),X_467)) )],[refute_1_643,refute_1_646]) ).
cnf(refute_1_648,plain,
( join(X_465,join(X_466,X_467)) != join(X_466,join(X_465,X_467))
| join(X_466,join(X_465,X_467)) = join(X_465,join(X_466,X_467)) ),
inference(subst,[],[refute_1_5:[bind(X,$fot(join(X_465,join(X_466,X_467)))),bind(Y,$fot(join(X_466,join(X_465,X_467))))]]) ).
cnf(refute_1_649,plain,
join(X_466,join(X_465,X_467)) = join(X_465,join(X_466,X_467)),
inference(resolve,[$cnf( $equal(join(X_465,join(X_466,X_467)),join(X_466,join(X_465,X_467))) )],[refute_1_647,refute_1_648]) ).
cnf(refute_1_650,plain,
join(zero,join(top,X_465)) = join(top,join(zero,X_465)),
inference(subst,[],[refute_1_649:[bind(X_465,$fot(top)),bind(X_466,$fot(zero)),bind(X_467,$fot(X_465))]]) ).
cnf(refute_1_651,plain,
( join(top,join(zero,X_465)) != join(top,X_465)
| join(zero,join(top,X_465)) != join(top,join(zero,X_465))
| join(zero,join(top,X_465)) = join(top,X_465) ),
inference(subst,[],[refute_1_52:[bind(X,$fot(join(zero,join(top,X_465)))),bind(Y,$fot(join(top,join(zero,X_465)))),bind(Z,$fot(join(top,X_465)))]]) ).
cnf(refute_1_652,plain,
( join(top,join(zero,X_465)) != join(top,X_465)
| join(zero,join(top,X_465)) = join(top,X_465) ),
inference(resolve,[$cnf( $equal(join(zero,join(top,X_465)),join(top,join(zero,X_465))) )],[refute_1_650,refute_1_651]) ).
cnf(refute_1_653,plain,
join(zero,join(top,X_465)) = join(top,X_465),
inference(resolve,[$cnf( $equal(join(top,join(zero,X_465)),join(top,X_465)) )],[refute_1_636,refute_1_652]) ).
cnf(refute_1_654,plain,
join(complement(X_452),join(meet(X_452,top),X_467)) = join(join(complement(X_452),meet(X_452,top)),X_467),
inference(subst,[],[refute_1_160:[bind(X0,$fot(complement(X_452))),bind(X1,$fot(meet(X_452,top))),bind(X2,$fot(X_467))]]) ).
cnf(refute_1_655,plain,
join(complement(X_450),meet(top,X_450)) = join(zero,meet(join(complement(X_450),meet(top,X_450)),join(zero,meet(top,join(complement(X_450),meet(top,X_450)))))),
inference(subst,[],[refute_1_204:[bind(X_422,$fot(join(complement(X_450),meet(top,X_450))))]]) ).
cnf(refute_1_656,plain,
X_417 = join(meet(X_417,join(complement(X_407),meet(X_417,X_407))),complement(join(complement(X_417),join(complement(X_407),meet(X_417,X_407))))),
inference(subst,[],[refute_1_114:[bind(X0,$fot(X_417)),bind(X1,$fot(join(complement(X_407),meet(X_417,X_407))))]]) ).
cnf(refute_1_657,plain,
top = join(complement(X_417),join(complement(X_407),meet(X_417,X_407))),
inference(subst,[],[refute_1_166:[bind(X_406,$fot(X_417))]]) ).
cnf(refute_1_658,plain,
( top != join(complement(X_417),join(complement(X_407),meet(X_417,X_407)))
| join(complement(X_417),join(complement(X_407),meet(X_417,X_407))) = top ),
inference(subst,[],[refute_1_5:[bind(X,$fot(top)),bind(Y,$fot(join(complement(X_417),join(complement(X_407),meet(X_417,X_407)))))]]) ).
cnf(refute_1_659,plain,
join(complement(X_417),join(complement(X_407),meet(X_417,X_407))) = top,
inference(resolve,[$cnf( $equal(top,join(complement(X_417),join(complement(X_407),meet(X_417,X_407)))) )],[refute_1_657,refute_1_658]) ).
cnf(refute_1_660,plain,
( X_417 != join(meet(X_417,join(complement(X_407),meet(X_417,X_407))),complement(join(complement(X_417),join(complement(X_407),meet(X_417,X_407)))))
| join(complement(X_417),join(complement(X_407),meet(X_417,X_407))) != top
| X_417 = join(meet(X_417,join(complement(X_407),meet(X_417,X_407))),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(X_417,join(meet(X_417,join(complement(X_407),meet(X_417,X_407))),complement(join(complement(X_417),join(complement(X_407),meet(X_417,X_407)))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_1_661,plain,
( X_417 != join(meet(X_417,join(complement(X_407),meet(X_417,X_407))),complement(join(complement(X_417),join(complement(X_407),meet(X_417,X_407)))))
| X_417 = join(meet(X_417,join(complement(X_407),meet(X_417,X_407))),complement(top)) ),
inference(resolve,[$cnf( $equal(join(complement(X_417),join(complement(X_407),meet(X_417,X_407))),top) )],[refute_1_659,refute_1_660]) ).
cnf(refute_1_662,plain,
X_417 = join(meet(X_417,join(complement(X_407),meet(X_417,X_407))),complement(top)),
inference(resolve,[$cnf( $equal(X_417,join(meet(X_417,join(complement(X_407),meet(X_417,X_407))),complement(join(complement(X_417),join(complement(X_407),meet(X_417,X_407)))))) )],[refute_1_656,refute_1_661]) ).
cnf(refute_1_663,plain,
join(complement(top),meet(X_417,join(complement(X_407),meet(X_417,X_407)))) = join(complement(top),meet(X_417,join(complement(X_407),meet(X_417,X_407)))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(X_417,join(complement(X_407),meet(X_417,X_407)))))]]) ).
cnf(refute_1_664,plain,
( complement(top) != zero
| join(complement(top),meet(X_417,join(complement(X_407),meet(X_417,X_407)))) != join(complement(top),meet(X_417,join(complement(X_407),meet(X_417,X_407))))
| join(complement(top),meet(X_417,join(complement(X_407),meet(X_417,X_407)))) = join(zero,meet(X_417,join(complement(X_407),meet(X_417,X_407)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(X_417,join(complement(X_407),meet(X_417,X_407)))),join(complement(top),meet(X_417,join(complement(X_407),meet(X_417,X_407))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_1_665,plain,
( complement(top) != zero
| join(complement(top),meet(X_417,join(complement(X_407),meet(X_417,X_407)))) = join(zero,meet(X_417,join(complement(X_407),meet(X_417,X_407)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_417,join(complement(X_407),meet(X_417,X_407)))),join(complement(top),meet(X_417,join(complement(X_407),meet(X_417,X_407))))) )],[refute_1_663,refute_1_664]) ).
cnf(refute_1_666,plain,
join(complement(top),meet(X_417,join(complement(X_407),meet(X_417,X_407)))) = join(zero,meet(X_417,join(complement(X_407),meet(X_417,X_407)))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_1_90,refute_1_665]) ).
cnf(refute_1_667,plain,
join(meet(X_417,join(complement(X_407),meet(X_417,X_407))),complement(top)) = join(complement(top),meet(X_417,join(complement(X_407),meet(X_417,X_407)))),
inference(subst,[],[refute_1_7:[bind(X0,$fot(complement(top))),bind(X1,$fot(meet(X_417,join(complement(X_407),meet(X_417,X_407)))))]]) ).
cnf(refute_1_668,plain,
( join(complement(top),meet(X_417,join(complement(X_407),meet(X_417,X_407)))) != join(zero,meet(X_417,join(complement(X_407),meet(X_417,X_407))))
| join(meet(X_417,join(complement(X_407),meet(X_417,X_407))),complement(top)) != join(complement(top),meet(X_417,join(complement(X_407),meet(X_417,X_407))))
| join(meet(X_417,join(complement(X_407),meet(X_417,X_407))),complement(top)) = join(zero,meet(X_417,join(complement(X_407),meet(X_417,X_407)))) ),
inference(subst,[],[refute_1_52:[bind(X,$fot(join(meet(X_417,join(complement(X_407),meet(X_417,X_407))),complement(top)))),bind(Y,$fot(join(complement(top),meet(X_417,join(complement(X_407),meet(X_417,X_407)))))),bind(Z,$fot(join(zero,meet(X_417,join(complement(X_407),meet(X_417,X_407))))))]]) ).
cnf(refute_1_669,plain,
( join(complement(top),meet(X_417,join(complement(X_407),meet(X_417,X_407)))) != join(zero,meet(X_417,join(complement(X_407),meet(X_417,X_407))))
| join(meet(X_417,join(complement(X_407),meet(X_417,X_407))),complement(top)) = join(zero,meet(X_417,join(complement(X_407),meet(X_417,X_407)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_417,join(complement(X_407),meet(X_417,X_407))),complement(top)),join(complement(top),meet(X_417,join(complement(X_407),meet(X_417,X_407))))) )],[refute_1_667,refute_1_668]) ).
cnf(refute_1_670,plain,
join(meet(X_417,join(complement(X_407),meet(X_417,X_407))),complement(top)) = join(zero,meet(X_417,join(complement(X_407),meet(X_417,X_407)))),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_417,join(complement(X_407),meet(X_417,X_407)))),join(zero,meet(X_417,join(complement(X_407),meet(X_417,X_407))))) )],[refute_1_666,refute_1_669]) ).
cnf(refute_1_671,plain,
( X_417 != join(meet(X_417,join(complement(X_407),meet(X_417,X_407))),complement(top))
| join(meet(X_417,join(complement(X_407),meet(X_417,X_407))),complement(top)) != join(zero,meet(X_417,join(complement(X_407),meet(X_417,X_407))))
| X_417 = join(zero,meet(X_417,join(complement(X_407),meet(X_417,X_407)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_417,join(zero,meet(X_417,join(complement(X_407),meet(X_417,X_407))))) ),[0],$fot(join(meet(X_417,join(complement(X_407),meet(X_417,X_407))),complement(top)))]]) ).
cnf(refute_1_672,plain,
( X_417 != join(meet(X_417,join(complement(X_407),meet(X_417,X_407))),complement(top))
| X_417 = join(zero,meet(X_417,join(complement(X_407),meet(X_417,X_407)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_417,join(complement(X_407),meet(X_417,X_407))),complement(top)),join(zero,meet(X_417,join(complement(X_407),meet(X_417,X_407))))) )],[refute_1_670,refute_1_671]) ).
cnf(refute_1_673,plain,
X_417 = join(zero,meet(X_417,join(complement(X_407),meet(X_417,X_407)))),
inference(resolve,[$cnf( $equal(X_417,join(meet(X_417,join(complement(X_407),meet(X_417,X_407))),complement(top))) )],[refute_1_662,refute_1_672]) ).
cnf(refute_1_674,plain,
top = join(zero,meet(top,join(complement(X_450),meet(top,X_450)))),
inference(subst,[],[refute_1_673:[bind(X_407,$fot(X_450)),bind(X_417,$fot(top))]]) ).
cnf(refute_1_675,plain,
( top != join(zero,meet(top,join(complement(X_450),meet(top,X_450))))
| join(zero,meet(top,join(complement(X_450),meet(top,X_450)))) = top ),
inference(subst,[],[refute_1_5:[bind(X,$fot(top)),bind(Y,$fot(join(zero,meet(top,join(complement(X_450),meet(top,X_450))))))]]) ).
cnf(refute_1_676,plain,
join(zero,meet(top,join(complement(X_450),meet(top,X_450)))) = top,
inference(resolve,[$cnf( $equal(top,join(zero,meet(top,join(complement(X_450),meet(top,X_450))))) )],[refute_1_674,refute_1_675]) ).
cnf(refute_1_677,plain,
( join(complement(X_450),meet(top,X_450)) != join(zero,meet(join(complement(X_450),meet(top,X_450)),join(zero,meet(top,join(complement(X_450),meet(top,X_450))))))
| join(zero,meet(top,join(complement(X_450),meet(top,X_450)))) != top
| join(complement(X_450),meet(top,X_450)) = join(zero,meet(join(complement(X_450),meet(top,X_450)),top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_450),meet(top,X_450)),join(zero,meet(join(complement(X_450),meet(top,X_450)),join(zero,meet(top,join(complement(X_450),meet(top,X_450))))))) ),[1,1,1],$fot(top)]]) ).
cnf(refute_1_678,plain,
( join(complement(X_450),meet(top,X_450)) != join(zero,meet(join(complement(X_450),meet(top,X_450)),join(zero,meet(top,join(complement(X_450),meet(top,X_450))))))
| join(complement(X_450),meet(top,X_450)) = join(zero,meet(join(complement(X_450),meet(top,X_450)),top)) ),
inference(resolve,[$cnf( $equal(join(zero,meet(top,join(complement(X_450),meet(top,X_450)))),top) )],[refute_1_676,refute_1_677]) ).
cnf(refute_1_679,plain,
join(complement(X_450),meet(top,X_450)) = join(zero,meet(join(complement(X_450),meet(top,X_450)),top)),
inference(resolve,[$cnf( $equal(join(complement(X_450),meet(top,X_450)),join(zero,meet(join(complement(X_450),meet(top,X_450)),join(zero,meet(top,join(complement(X_450),meet(top,X_450))))))) )],[refute_1_655,refute_1_678]) ).
cnf(refute_1_680,plain,
meet(join(complement(X_450),meet(top,X_450)),top) = meet(top,join(complement(X_450),meet(top,X_450))),
inference(subst,[],[refute_1_137:[bind(X0,$fot(join(complement(X_450),meet(top,X_450))))]]) ).
cnf(refute_1_681,plain,
join(zero,meet(join(complement(X_450),meet(top,X_450)),top)) = join(zero,meet(join(complement(X_450),meet(top,X_450)),top)),
introduced(tautology,[refl,[$fot(join(zero,meet(join(complement(X_450),meet(top,X_450)),top)))]]) ).
cnf(refute_1_682,plain,
( join(zero,meet(join(complement(X_450),meet(top,X_450)),top)) != join(zero,meet(join(complement(X_450),meet(top,X_450)),top))
| meet(join(complement(X_450),meet(top,X_450)),top) != meet(top,join(complement(X_450),meet(top,X_450)))
| join(zero,meet(join(complement(X_450),meet(top,X_450)),top)) = join(zero,meet(top,join(complement(X_450),meet(top,X_450)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(join(complement(X_450),meet(top,X_450)),top)),join(zero,meet(join(complement(X_450),meet(top,X_450)),top))) ),[1,1],$fot(meet(top,join(complement(X_450),meet(top,X_450))))]]) ).
cnf(refute_1_683,plain,
( meet(join(complement(X_450),meet(top,X_450)),top) != meet(top,join(complement(X_450),meet(top,X_450)))
| join(zero,meet(join(complement(X_450),meet(top,X_450)),top)) = join(zero,meet(top,join(complement(X_450),meet(top,X_450)))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(join(complement(X_450),meet(top,X_450)),top)),join(zero,meet(join(complement(X_450),meet(top,X_450)),top))) )],[refute_1_681,refute_1_682]) ).
cnf(refute_1_684,plain,
join(zero,meet(join(complement(X_450),meet(top,X_450)),top)) = join(zero,meet(top,join(complement(X_450),meet(top,X_450)))),
inference(resolve,[$cnf( $equal(meet(join(complement(X_450),meet(top,X_450)),top),meet(top,join(complement(X_450),meet(top,X_450)))) )],[refute_1_680,refute_1_683]) ).
cnf(refute_1_685,plain,
( join(zero,meet(join(complement(X_450),meet(top,X_450)),top)) != join(zero,meet(top,join(complement(X_450),meet(top,X_450))))
| join(zero,meet(top,join(complement(X_450),meet(top,X_450)))) != top
| join(zero,meet(join(complement(X_450),meet(top,X_450)),top)) = top ),
inference(subst,[],[refute_1_52:[bind(X,$fot(join(zero,meet(join(complement(X_450),meet(top,X_450)),top)))),bind(Y,$fot(join(zero,meet(top,join(complement(X_450),meet(top,X_450)))))),bind(Z,$fot(top))]]) ).
cnf(refute_1_686,plain,
( join(zero,meet(top,join(complement(X_450),meet(top,X_450)))) != top
| join(zero,meet(join(complement(X_450),meet(top,X_450)),top)) = top ),
inference(resolve,[$cnf( $equal(join(zero,meet(join(complement(X_450),meet(top,X_450)),top)),join(zero,meet(top,join(complement(X_450),meet(top,X_450))))) )],[refute_1_684,refute_1_685]) ).
cnf(refute_1_687,plain,
join(zero,meet(join(complement(X_450),meet(top,X_450)),top)) = top,
inference(resolve,[$cnf( $equal(join(zero,meet(top,join(complement(X_450),meet(top,X_450)))),top) )],[refute_1_676,refute_1_686]) ).
cnf(refute_1_688,plain,
( join(complement(X_450),meet(top,X_450)) != join(zero,meet(join(complement(X_450),meet(top,X_450)),top))
| join(zero,meet(join(complement(X_450),meet(top,X_450)),top)) != top
| join(complement(X_450),meet(top,X_450)) = top ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(complement(X_450),meet(top,X_450)),top) ),[0],$fot(join(zero,meet(join(complement(X_450),meet(top,X_450)),top)))]]) ).
cnf(refute_1_689,plain,
( join(complement(X_450),meet(top,X_450)) != join(zero,meet(join(complement(X_450),meet(top,X_450)),top))
| join(complement(X_450),meet(top,X_450)) = top ),
inference(resolve,[$cnf( $equal(join(zero,meet(join(complement(X_450),meet(top,X_450)),top)),top) )],[refute_1_687,refute_1_688]) ).
cnf(refute_1_690,plain,
join(complement(X_450),meet(top,X_450)) = top,
inference(resolve,[$cnf( $equal(join(complement(X_450),meet(top,X_450)),join(zero,meet(join(complement(X_450),meet(top,X_450)),top))) )],[refute_1_679,refute_1_689]) ).
cnf(refute_1_691,plain,
join(complement(X_452),meet(top,X_452)) = top,
inference(subst,[],[refute_1_690:[bind(X_450,$fot(X_452))]]) ).
cnf(refute_1_692,plain,
meet(X_452,top) = meet(top,X_452),
inference(subst,[],[refute_1_198:[bind(X_406,$fot(X_452)),bind(X_407,$fot(top))]]) ).
cnf(refute_1_693,plain,
( meet(X_452,top) != meet(top,X_452)
| meet(top,X_452) = meet(X_452,top) ),
inference(subst,[],[refute_1_5:[bind(X,$fot(meet(X_452,top))),bind(Y,$fot(meet(top,X_452)))]]) ).
cnf(refute_1_694,plain,
meet(top,X_452) = meet(X_452,top),
inference(resolve,[$cnf( $equal(meet(X_452,top),meet(top,X_452)) )],[refute_1_692,refute_1_693]) ).
cnf(refute_1_695,plain,
( join(complement(X_452),meet(top,X_452)) != top
| meet(top,X_452) != meet(X_452,top)
| join(complement(X_452),meet(X_452,top)) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_452),meet(top,X_452)),top) ),[0,1],$fot(meet(X_452,top))]]) ).
cnf(refute_1_696,plain,
( join(complement(X_452),meet(top,X_452)) != top
| join(complement(X_452),meet(X_452,top)) = top ),
inference(resolve,[$cnf( $equal(meet(top,X_452),meet(X_452,top)) )],[refute_1_694,refute_1_695]) ).
cnf(refute_1_697,plain,
join(complement(X_452),meet(X_452,top)) = top,
inference(resolve,[$cnf( $equal(join(complement(X_452),meet(top,X_452)),top) )],[refute_1_691,refute_1_696]) ).
cnf(refute_1_698,plain,
( join(complement(X_452),join(meet(X_452,top),X_467)) != join(join(complement(X_452),meet(X_452,top)),X_467)
| join(complement(X_452),meet(X_452,top)) != top
| join(complement(X_452),join(meet(X_452,top),X_467)) = join(top,X_467) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_452),join(meet(X_452,top),X_467)),join(join(complement(X_452),meet(X_452,top)),X_467)) ),[1,0],$fot(top)]]) ).
cnf(refute_1_699,plain,
( join(complement(X_452),join(meet(X_452,top),X_467)) != join(join(complement(X_452),meet(X_452,top)),X_467)
| join(complement(X_452),join(meet(X_452,top),X_467)) = join(top,X_467) ),
inference(resolve,[$cnf( $equal(join(complement(X_452),meet(X_452,top)),top) )],[refute_1_697,refute_1_698]) ).
cnf(refute_1_700,plain,
join(complement(X_452),join(meet(X_452,top),X_467)) = join(top,X_467),
inference(resolve,[$cnf( $equal(join(complement(X_452),join(meet(X_452,top),X_467)),join(join(complement(X_452),meet(X_452,top)),X_467)) )],[refute_1_654,refute_1_699]) ).
cnf(refute_1_701,plain,
join(complement(X_412),join(meet(X_412,top),X_465)) = join(top,X_465),
inference(subst,[],[refute_1_700:[bind(X_452,$fot(X_412)),bind(X_467,$fot(X_465))]]) ).
cnf(refute_1_702,plain,
join(zero,join(complement(X_412),join(meet(X_412,top),X_465))) = join(zero,join(complement(X_412),join(meet(X_412,top),X_465))),
introduced(tautology,[refl,[$fot(join(zero,join(complement(X_412),join(meet(X_412,top),X_465))))]]) ).
cnf(refute_1_703,plain,
( join(complement(X_412),join(meet(X_412,top),X_465)) != join(top,X_465)
| join(zero,join(complement(X_412),join(meet(X_412,top),X_465))) != join(zero,join(complement(X_412),join(meet(X_412,top),X_465)))
| join(zero,join(complement(X_412),join(meet(X_412,top),X_465))) = join(zero,join(top,X_465)) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,join(complement(X_412),join(meet(X_412,top),X_465))),join(zero,join(complement(X_412),join(meet(X_412,top),X_465)))) ),[1,1],$fot(join(top,X_465))]]) ).
cnf(refute_1_704,plain,
( join(complement(X_412),join(meet(X_412,top),X_465)) != join(top,X_465)
| join(zero,join(complement(X_412),join(meet(X_412,top),X_465))) = join(zero,join(top,X_465)) ),
inference(resolve,[$cnf( $equal(join(zero,join(complement(X_412),join(meet(X_412,top),X_465))),join(zero,join(complement(X_412),join(meet(X_412,top),X_465)))) )],[refute_1_702,refute_1_703]) ).
cnf(refute_1_705,plain,
join(zero,join(complement(X_412),join(meet(X_412,top),X_465))) = join(zero,join(top,X_465)),
inference(resolve,[$cnf( $equal(join(complement(X_412),join(meet(X_412,top),X_465)),join(top,X_465)) )],[refute_1_701,refute_1_704]) ).
cnf(refute_1_706,plain,
( join(zero,join(complement(X_412),join(meet(X_412,top),X_465))) != join(zero,join(top,X_465))
| join(zero,join(top,X_465)) != join(top,X_465)
| join(zero,join(complement(X_412),join(meet(X_412,top),X_465))) = join(top,X_465) ),
inference(subst,[],[refute_1_52:[bind(X,$fot(join(zero,join(complement(X_412),join(meet(X_412,top),X_465))))),bind(Y,$fot(join(zero,join(top,X_465)))),bind(Z,$fot(join(top,X_465)))]]) ).
cnf(refute_1_707,plain,
( join(zero,join(top,X_465)) != join(top,X_465)
| join(zero,join(complement(X_412),join(meet(X_412,top),X_465))) = join(top,X_465) ),
inference(resolve,[$cnf( $equal(join(zero,join(complement(X_412),join(meet(X_412,top),X_465))),join(zero,join(top,X_465))) )],[refute_1_705,refute_1_706]) ).
cnf(refute_1_708,plain,
join(zero,join(complement(X_412),join(meet(X_412,top),X_465))) = join(top,X_465),
inference(resolve,[$cnf( $equal(join(zero,join(top,X_465)),join(top,X_465)) )],[refute_1_653,refute_1_707]) ).
cnf(refute_1_709,plain,
( join(X_465,top) != join(zero,join(complement(X_412),join(meet(X_412,top),X_465)))
| join(zero,join(complement(X_412),join(meet(X_412,top),X_465))) != join(top,X_465)
| join(X_465,top) = join(top,X_465) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_465,top),join(top,X_465)) ),[0],$fot(join(zero,join(complement(X_412),join(meet(X_412,top),X_465))))]]) ).
cnf(refute_1_710,plain,
( join(X_465,top) != join(zero,join(complement(X_412),join(meet(X_412,top),X_465)))
| join(X_465,top) = join(top,X_465) ),
inference(resolve,[$cnf( $equal(join(zero,join(complement(X_412),join(meet(X_412,top),X_465))),join(top,X_465)) )],[refute_1_708,refute_1_709]) ).
cnf(refute_1_711,plain,
join(X_465,top) = join(top,X_465),
inference(resolve,[$cnf( $equal(join(X_465,top),join(zero,join(complement(X_412),join(meet(X_412,top),X_465)))) )],[refute_1_625,refute_1_710]) ).
cnf(refute_1_712,plain,
join(complement(X_406),top) = join(top,complement(X_406)),
inference(subst,[],[refute_1_711:[bind(X_465,$fot(complement(X_406)))]]) ).
cnf(refute_1_713,plain,
( join(complement(X_406),top) != join(top,complement(X_406))
| join(top,complement(X_406)) != complement(meet(zero,X_406))
| join(complement(X_406),top) = complement(meet(zero,X_406)) ),
inference(subst,[],[refute_1_52:[bind(X,$fot(join(complement(X_406),top))),bind(Y,$fot(join(top,complement(X_406)))),bind(Z,$fot(complement(meet(zero,X_406))))]]) ).
cnf(refute_1_714,plain,
( join(top,complement(X_406)) != complement(meet(zero,X_406))
| join(complement(X_406),top) = complement(meet(zero,X_406)) ),
inference(resolve,[$cnf( $equal(join(complement(X_406),top),join(top,complement(X_406))) )],[refute_1_712,refute_1_713]) ).
cnf(refute_1_715,plain,
join(complement(X_406),top) = complement(meet(zero,X_406)),
inference(resolve,[$cnf( $equal(join(top,complement(X_406)),complement(meet(zero,X_406))) )],[refute_1_594,refute_1_714]) ).
cnf(refute_1_716,plain,
( join(complement(X_406),top) != complement(meet(zero,X_406))
| top != join(complement(X_406),top)
| top = complement(meet(zero,X_406)) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(X_406),top)) ),[1],$fot(complement(meet(zero,X_406)))]]) ).
cnf(refute_1_717,plain,
( top != join(complement(X_406),top)
| top = complement(meet(zero,X_406)) ),
inference(resolve,[$cnf( $equal(join(complement(X_406),top),complement(meet(zero,X_406))) )],[refute_1_715,refute_1_716]) ).
cnf(refute_1_718,plain,
top = complement(meet(zero,X_406)),
inference(resolve,[$cnf( $equal(top,join(complement(X_406),top)) )],[refute_1_531,refute_1_717]) ).
cnf(refute_1_719,plain,
top = complement(meet(zero,X_479)),
inference(subst,[],[refute_1_718:[bind(X_406,$fot(X_479))]]) ).
cnf(refute_1_720,plain,
( top != complement(meet(zero,X_479))
| complement(meet(zero,X_479)) = top ),
inference(subst,[],[refute_1_5:[bind(X,$fot(top)),bind(Y,$fot(complement(meet(zero,X_479))))]]) ).
cnf(refute_1_721,plain,
complement(meet(zero,X_479)) = top,
inference(resolve,[$cnf( $equal(top,complement(meet(zero,X_479))) )],[refute_1_719,refute_1_720]) ).
cnf(refute_1_722,plain,
( complement(meet(zero,X_479)) != top
| meet(meet(zero,X_479),meet(top,complement(meet(zero,X_479)))) != zero
| meet(meet(zero,X_479),meet(top,top)) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(zero,X_479),meet(top,complement(meet(zero,X_479)))),zero) ),[0,1,1],$fot(top)]]) ).
cnf(refute_1_723,plain,
( meet(meet(zero,X_479),meet(top,complement(meet(zero,X_479)))) != zero
| meet(meet(zero,X_479),meet(top,top)) = zero ),
inference(resolve,[$cnf( $equal(complement(meet(zero,X_479)),top) )],[refute_1_721,refute_1_722]) ).
cnf(refute_1_724,plain,
meet(meet(zero,X_479),meet(top,top)) = zero,
inference(resolve,[$cnf( $equal(meet(meet(zero,X_479),meet(top,complement(meet(zero,X_479)))),zero) )],[refute_1_400,refute_1_723]) ).
cnf(refute_1_725,plain,
meet(top,top) = complement(join(zero,complement(top))),
inference(subst,[],[refute_1_123:[bind(X1,$fot(top))]]) ).
cnf(refute_1_726,plain,
( complement(top) != zero
| meet(top,top) != complement(join(zero,complement(top)))
| meet(top,top) = complement(join(zero,zero)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,top),complement(join(zero,complement(top)))) ),[1,0,1],$fot(zero)]]) ).
cnf(refute_1_727,plain,
( meet(top,top) != complement(join(zero,complement(top)))
| meet(top,top) = complement(join(zero,zero)) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_1_90,refute_1_726]) ).
cnf(refute_1_728,plain,
meet(top,top) = complement(join(zero,zero)),
inference(resolve,[$cnf( $equal(meet(top,top),complement(join(zero,complement(top)))) )],[refute_1_725,refute_1_727]) ).
cnf(refute_1_729,plain,
complement(top) = join(meet(top,complement(top)),complement(join(top,complement(complement(top))))),
inference(subst,[],[refute_1_153:[bind(X_417,$fot(complement(top)))]]) ).
cnf(refute_1_730,plain,
zero = meet(top,complement(top)),
inference(subst,[],[refute_1_61:[bind(X0,$fot(top))]]) ).
cnf(refute_1_731,plain,
( zero != meet(top,complement(top))
| meet(top,complement(top)) = zero ),
inference(subst,[],[refute_1_5:[bind(X,$fot(zero)),bind(Y,$fot(meet(top,complement(top))))]]) ).
cnf(refute_1_732,plain,
meet(top,complement(top)) = zero,
inference(resolve,[$cnf( $equal(zero,meet(top,complement(top))) )],[refute_1_730,refute_1_731]) ).
cnf(refute_1_733,plain,
( complement(top) != join(meet(top,complement(top)),complement(join(top,complement(complement(top)))))
| meet(top,complement(top)) != zero
| complement(top) = join(zero,complement(join(top,complement(complement(top))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(top),join(meet(top,complement(top)),complement(join(top,complement(complement(top)))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_1_734,plain,
( complement(top) != join(meet(top,complement(top)),complement(join(top,complement(complement(top)))))
| complement(top) = join(zero,complement(join(top,complement(complement(top))))) ),
inference(resolve,[$cnf( $equal(meet(top,complement(top)),zero) )],[refute_1_732,refute_1_733]) ).
cnf(refute_1_735,plain,
complement(top) = join(zero,complement(join(top,complement(complement(top))))),
inference(resolve,[$cnf( $equal(complement(top),join(meet(top,complement(top)),complement(join(top,complement(complement(top)))))) )],[refute_1_729,refute_1_734]) ).
cnf(refute_1_736,plain,
( complement(top) != join(zero,complement(join(top,complement(complement(top)))))
| complement(top) != zero
| zero = join(zero,complement(join(top,complement(complement(top))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(top),join(zero,complement(join(top,complement(complement(top)))))) ),[0],$fot(zero)]]) ).
cnf(refute_1_737,plain,
( complement(top) != join(zero,complement(join(top,complement(complement(top)))))
| zero = join(zero,complement(join(top,complement(complement(top))))) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_1_90,refute_1_736]) ).
cnf(refute_1_738,plain,
join(top,complement(complement(top))) = join(top,complement(complement(top))),
introduced(tautology,[refl,[$fot(join(top,complement(complement(top))))]]) ).
cnf(refute_1_739,plain,
( complement(complement(top)) != complement(zero)
| join(top,complement(complement(top))) != join(top,complement(complement(top)))
| join(top,complement(complement(top))) = join(top,complement(zero)) ),
introduced(tautology,[equality,[$cnf( $equal(join(top,complement(complement(top))),join(top,complement(complement(top)))) ),[1,1],$fot(complement(zero))]]) ).
cnf(refute_1_740,plain,
( complement(complement(top)) != complement(zero)
| join(top,complement(complement(top))) = join(top,complement(zero)) ),
inference(resolve,[$cnf( $equal(join(top,complement(complement(top))),join(top,complement(complement(top)))) )],[refute_1_738,refute_1_739]) ).
cnf(refute_1_741,plain,
join(top,complement(complement(top))) = join(top,complement(zero)),
inference(resolve,[$cnf( $equal(complement(complement(top)),complement(zero)) )],[refute_1_233,refute_1_740]) ).
cnf(refute_1_742,plain,
complement(join(top,complement(complement(top)))) = complement(join(top,complement(complement(top)))),
introduced(tautology,[refl,[$fot(complement(join(top,complement(complement(top)))))]]) ).
cnf(refute_1_743,plain,
( complement(join(top,complement(complement(top)))) != complement(join(top,complement(complement(top))))
| join(top,complement(complement(top))) != join(top,complement(zero))
| complement(join(top,complement(complement(top)))) = complement(join(top,complement(zero))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(top,complement(complement(top)))),complement(join(top,complement(complement(top))))) ),[1,0],$fot(join(top,complement(zero)))]]) ).
cnf(refute_1_744,plain,
( join(top,complement(complement(top))) != join(top,complement(zero))
| complement(join(top,complement(complement(top)))) = complement(join(top,complement(zero))) ),
inference(resolve,[$cnf( $equal(complement(join(top,complement(complement(top)))),complement(join(top,complement(complement(top))))) )],[refute_1_742,refute_1_743]) ).
cnf(refute_1_745,plain,
complement(join(top,complement(complement(top)))) = complement(join(top,complement(zero))),
inference(resolve,[$cnf( $equal(join(top,complement(complement(top))),join(top,complement(zero))) )],[refute_1_741,refute_1_744]) ).
cnf(refute_1_746,plain,
join(zero,complement(join(top,complement(complement(top))))) = join(zero,complement(join(top,complement(complement(top))))),
introduced(tautology,[refl,[$fot(join(zero,complement(join(top,complement(complement(top))))))]]) ).
cnf(refute_1_747,plain,
( complement(join(top,complement(complement(top)))) != complement(join(top,complement(zero)))
| join(zero,complement(join(top,complement(complement(top))))) != join(zero,complement(join(top,complement(complement(top)))))
| join(zero,complement(join(top,complement(complement(top))))) = join(zero,complement(join(top,complement(zero)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,complement(join(top,complement(complement(top))))),join(zero,complement(join(top,complement(complement(top)))))) ),[1,1],$fot(complement(join(top,complement(zero))))]]) ).
cnf(refute_1_748,plain,
( complement(join(top,complement(complement(top)))) != complement(join(top,complement(zero)))
| join(zero,complement(join(top,complement(complement(top))))) = join(zero,complement(join(top,complement(zero)))) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(top,complement(complement(top))))),join(zero,complement(join(top,complement(complement(top)))))) )],[refute_1_746,refute_1_747]) ).
cnf(refute_1_749,plain,
join(zero,complement(join(top,complement(complement(top))))) = join(zero,complement(join(top,complement(zero)))),
inference(resolve,[$cnf( $equal(complement(join(top,complement(complement(top)))),complement(join(top,complement(zero)))) )],[refute_1_745,refute_1_748]) ).
cnf(refute_1_750,plain,
( join(zero,complement(join(top,complement(complement(top))))) != join(zero,complement(join(top,complement(zero))))
| zero != join(zero,complement(join(top,complement(complement(top)))))
| zero = join(zero,complement(join(top,complement(zero)))) ),
introduced(tautology,[equality,[$cnf( $equal(zero,join(zero,complement(join(top,complement(complement(top)))))) ),[1],$fot(join(zero,complement(join(top,complement(zero)))))]]) ).
cnf(refute_1_751,plain,
( zero != join(zero,complement(join(top,complement(complement(top)))))
| zero = join(zero,complement(join(top,complement(zero)))) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(top,complement(complement(top))))),join(zero,complement(join(top,complement(zero))))) )],[refute_1_749,refute_1_750]) ).
cnf(refute_1_752,plain,
( complement(top) != join(zero,complement(join(top,complement(complement(top)))))
| zero = join(zero,complement(join(top,complement(zero)))) ),
inference(resolve,[$cnf( $equal(zero,join(zero,complement(join(top,complement(complement(top)))))) )],[refute_1_737,refute_1_751]) ).
cnf(refute_1_753,plain,
zero = join(zero,complement(join(top,complement(zero)))),
inference(resolve,[$cnf( $equal(complement(top),join(zero,complement(join(top,complement(complement(top)))))) )],[refute_1_735,refute_1_752]) ).
cnf(refute_1_754,plain,
join(top,complement(zero)) = join(zero,meet(join(top,complement(zero)),join(zero,meet(top,join(top,complement(zero)))))),
inference(subst,[],[refute_1_204:[bind(X_422,$fot(join(top,complement(zero))))]]) ).
cnf(refute_1_755,plain,
meet(top,join(top,complement(zero))) = complement(join(zero,complement(join(top,complement(zero))))),
inference(subst,[],[refute_1_123:[bind(X1,$fot(join(top,complement(zero))))]]) ).
cnf(refute_1_756,plain,
( zero != join(zero,complement(join(top,complement(zero))))
| join(zero,complement(join(top,complement(zero)))) = zero ),
inference(subst,[],[refute_1_5:[bind(X,$fot(zero)),bind(Y,$fot(join(zero,complement(join(top,complement(zero))))))]]) ).
cnf(refute_1_757,plain,
join(zero,complement(join(top,complement(zero)))) = zero,
inference(resolve,[$cnf( $equal(zero,join(zero,complement(join(top,complement(zero))))) )],[refute_1_753,refute_1_756]) ).
cnf(refute_1_758,plain,
( join(zero,complement(join(top,complement(zero)))) != zero
| meet(top,join(top,complement(zero))) != complement(join(zero,complement(join(top,complement(zero)))))
| meet(top,join(top,complement(zero))) = complement(zero) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,join(top,complement(zero))),complement(join(zero,complement(join(top,complement(zero)))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_1_759,plain,
( meet(top,join(top,complement(zero))) != complement(join(zero,complement(join(top,complement(zero)))))
| meet(top,join(top,complement(zero))) = complement(zero) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(top,complement(zero)))),zero) )],[refute_1_757,refute_1_758]) ).
cnf(refute_1_760,plain,
meet(top,join(top,complement(zero))) = complement(zero),
inference(resolve,[$cnf( $equal(meet(top,join(top,complement(zero))),complement(join(zero,complement(join(top,complement(zero)))))) )],[refute_1_755,refute_1_759]) ).
cnf(refute_1_761,plain,
( join(top,complement(zero)) != join(zero,meet(join(top,complement(zero)),join(zero,meet(top,join(top,complement(zero))))))
| meet(top,join(top,complement(zero))) != complement(zero)
| join(top,complement(zero)) = join(zero,meet(join(top,complement(zero)),join(zero,complement(zero)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(top,complement(zero)),join(zero,meet(join(top,complement(zero)),join(zero,meet(top,join(top,complement(zero))))))) ),[1,1,1,1],$fot(complement(zero))]]) ).
cnf(refute_1_762,plain,
( join(top,complement(zero)) != join(zero,meet(join(top,complement(zero)),join(zero,meet(top,join(top,complement(zero))))))
| join(top,complement(zero)) = join(zero,meet(join(top,complement(zero)),join(zero,complement(zero)))) ),
inference(resolve,[$cnf( $equal(meet(top,join(top,complement(zero))),complement(zero)) )],[refute_1_760,refute_1_761]) ).
cnf(refute_1_763,plain,
join(top,complement(zero)) = join(zero,meet(join(top,complement(zero)),join(zero,complement(zero)))),
inference(resolve,[$cnf( $equal(join(top,complement(zero)),join(zero,meet(join(top,complement(zero)),join(zero,meet(top,join(top,complement(zero))))))) )],[refute_1_754,refute_1_762]) ).
cnf(refute_1_764,plain,
join(zero,complement(zero)) = top,
inference(subst,[],[refute_1_72:[bind(X0,$fot(zero))]]) ).
cnf(refute_1_765,plain,
meet(join(top,complement(zero)),top) = meet(top,join(top,complement(zero))),
inference(subst,[],[refute_1_137:[bind(X0,$fot(join(top,complement(zero))))]]) ).
cnf(refute_1_766,plain,
( meet(join(top,complement(zero)),top) != meet(top,join(top,complement(zero)))
| meet(top,join(top,complement(zero))) != complement(zero)
| meet(join(top,complement(zero)),top) = complement(zero) ),
inference(subst,[],[refute_1_52:[bind(X,$fot(meet(join(top,complement(zero)),top))),bind(Y,$fot(meet(top,join(top,complement(zero))))),bind(Z,$fot(complement(zero)))]]) ).
cnf(refute_1_767,plain,
( meet(top,join(top,complement(zero))) != complement(zero)
| meet(join(top,complement(zero)),top) = complement(zero) ),
inference(resolve,[$cnf( $equal(meet(join(top,complement(zero)),top),meet(top,join(top,complement(zero)))) )],[refute_1_765,refute_1_766]) ).
cnf(refute_1_768,plain,
meet(join(top,complement(zero)),top) = complement(zero),
inference(resolve,[$cnf( $equal(meet(top,join(top,complement(zero))),complement(zero)) )],[refute_1_760,refute_1_767]) ).
cnf(refute_1_769,plain,
meet(join(top,complement(zero)),join(zero,complement(zero))) = meet(join(top,complement(zero)),join(zero,complement(zero))),
introduced(tautology,[refl,[$fot(meet(join(top,complement(zero)),join(zero,complement(zero))))]]) ).
cnf(refute_1_770,plain,
( join(zero,complement(zero)) != top
| meet(join(top,complement(zero)),join(zero,complement(zero))) != meet(join(top,complement(zero)),join(zero,complement(zero)))
| meet(join(top,complement(zero)),join(zero,complement(zero))) = meet(join(top,complement(zero)),top) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(top,complement(zero)),join(zero,complement(zero))),meet(join(top,complement(zero)),join(zero,complement(zero)))) ),[1,1],$fot(top)]]) ).
cnf(refute_1_771,plain,
( join(zero,complement(zero)) != top
| meet(join(top,complement(zero)),join(zero,complement(zero))) = meet(join(top,complement(zero)),top) ),
inference(resolve,[$cnf( $equal(meet(join(top,complement(zero)),join(zero,complement(zero))),meet(join(top,complement(zero)),join(zero,complement(zero)))) )],[refute_1_769,refute_1_770]) ).
cnf(refute_1_772,plain,
meet(join(top,complement(zero)),join(zero,complement(zero))) = meet(join(top,complement(zero)),top),
inference(resolve,[$cnf( $equal(join(zero,complement(zero)),top) )],[refute_1_764,refute_1_771]) ).
cnf(refute_1_773,plain,
( meet(join(top,complement(zero)),join(zero,complement(zero))) != meet(join(top,complement(zero)),top)
| meet(join(top,complement(zero)),top) != complement(zero)
| meet(join(top,complement(zero)),join(zero,complement(zero))) = complement(zero) ),
inference(subst,[],[refute_1_52:[bind(X,$fot(meet(join(top,complement(zero)),join(zero,complement(zero))))),bind(Y,$fot(meet(join(top,complement(zero)),top))),bind(Z,$fot(complement(zero)))]]) ).
cnf(refute_1_774,plain,
( meet(join(top,complement(zero)),top) != complement(zero)
| meet(join(top,complement(zero)),join(zero,complement(zero))) = complement(zero) ),
inference(resolve,[$cnf( $equal(meet(join(top,complement(zero)),join(zero,complement(zero))),meet(join(top,complement(zero)),top)) )],[refute_1_772,refute_1_773]) ).
cnf(refute_1_775,plain,
meet(join(top,complement(zero)),join(zero,complement(zero))) = complement(zero),
inference(resolve,[$cnf( $equal(meet(join(top,complement(zero)),top),complement(zero)) )],[refute_1_768,refute_1_774]) ).
cnf(refute_1_776,plain,
join(zero,meet(join(top,complement(zero)),join(zero,complement(zero)))) = join(zero,meet(join(top,complement(zero)),join(zero,complement(zero)))),
introduced(tautology,[refl,[$fot(join(zero,meet(join(top,complement(zero)),join(zero,complement(zero)))))]]) ).
cnf(refute_1_777,plain,
( join(zero,meet(join(top,complement(zero)),join(zero,complement(zero)))) != join(zero,meet(join(top,complement(zero)),join(zero,complement(zero))))
| meet(join(top,complement(zero)),join(zero,complement(zero))) != complement(zero)
| join(zero,meet(join(top,complement(zero)),join(zero,complement(zero)))) = join(zero,complement(zero)) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(join(top,complement(zero)),join(zero,complement(zero)))),join(zero,meet(join(top,complement(zero)),join(zero,complement(zero))))) ),[1,1],$fot(complement(zero))]]) ).
cnf(refute_1_778,plain,
( meet(join(top,complement(zero)),join(zero,complement(zero))) != complement(zero)
| join(zero,meet(join(top,complement(zero)),join(zero,complement(zero)))) = join(zero,complement(zero)) ),
inference(resolve,[$cnf( $equal(join(zero,meet(join(top,complement(zero)),join(zero,complement(zero)))),join(zero,meet(join(top,complement(zero)),join(zero,complement(zero))))) )],[refute_1_776,refute_1_777]) ).
cnf(refute_1_779,plain,
join(zero,meet(join(top,complement(zero)),join(zero,complement(zero)))) = join(zero,complement(zero)),
inference(resolve,[$cnf( $equal(meet(join(top,complement(zero)),join(zero,complement(zero))),complement(zero)) )],[refute_1_775,refute_1_778]) ).
cnf(refute_1_780,plain,
( join(zero,complement(zero)) != top
| join(zero,meet(join(top,complement(zero)),join(zero,complement(zero)))) != join(zero,complement(zero))
| join(zero,meet(join(top,complement(zero)),join(zero,complement(zero)))) = top ),
inference(subst,[],[refute_1_52:[bind(X,$fot(join(zero,meet(join(top,complement(zero)),join(zero,complement(zero)))))),bind(Y,$fot(join(zero,complement(zero)))),bind(Z,$fot(top))]]) ).
cnf(refute_1_781,plain,
( join(zero,complement(zero)) != top
| join(zero,meet(join(top,complement(zero)),join(zero,complement(zero)))) = top ),
inference(resolve,[$cnf( $equal(join(zero,meet(join(top,complement(zero)),join(zero,complement(zero)))),join(zero,complement(zero))) )],[refute_1_779,refute_1_780]) ).
cnf(refute_1_782,plain,
join(zero,meet(join(top,complement(zero)),join(zero,complement(zero)))) = top,
inference(resolve,[$cnf( $equal(join(zero,complement(zero)),top) )],[refute_1_764,refute_1_781]) ).
cnf(refute_1_783,plain,
( join(top,complement(zero)) != join(zero,meet(join(top,complement(zero)),join(zero,complement(zero))))
| join(zero,meet(join(top,complement(zero)),join(zero,complement(zero)))) != top
| join(top,complement(zero)) = top ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(top,complement(zero)),top) ),[0],$fot(join(zero,meet(join(top,complement(zero)),join(zero,complement(zero)))))]]) ).
cnf(refute_1_784,plain,
( join(top,complement(zero)) != join(zero,meet(join(top,complement(zero)),join(zero,complement(zero))))
| join(top,complement(zero)) = top ),
inference(resolve,[$cnf( $equal(join(zero,meet(join(top,complement(zero)),join(zero,complement(zero)))),top) )],[refute_1_782,refute_1_783]) ).
cnf(refute_1_785,plain,
join(top,complement(zero)) = top,
inference(resolve,[$cnf( $equal(join(top,complement(zero)),join(zero,meet(join(top,complement(zero)),join(zero,complement(zero))))) )],[refute_1_763,refute_1_784]) ).
cnf(refute_1_786,plain,
complement(join(top,complement(zero))) = complement(join(top,complement(zero))),
introduced(tautology,[refl,[$fot(complement(join(top,complement(zero))))]]) ).
cnf(refute_1_787,plain,
( complement(join(top,complement(zero))) != complement(join(top,complement(zero)))
| join(top,complement(zero)) != top
| complement(join(top,complement(zero))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(top,complement(zero))),complement(join(top,complement(zero)))) ),[1,0],$fot(top)]]) ).
cnf(refute_1_788,plain,
( join(top,complement(zero)) != top
| complement(join(top,complement(zero))) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(join(top,complement(zero))),complement(join(top,complement(zero)))) )],[refute_1_786,refute_1_787]) ).
cnf(refute_1_789,plain,
complement(join(top,complement(zero))) = complement(top),
inference(resolve,[$cnf( $equal(join(top,complement(zero)),top) )],[refute_1_785,refute_1_788]) ).
cnf(refute_1_790,plain,
( complement(join(top,complement(zero))) != complement(top)
| complement(top) != zero
| complement(join(top,complement(zero))) = zero ),
inference(subst,[],[refute_1_52:[bind(X,$fot(complement(join(top,complement(zero))))),bind(Y,$fot(complement(top))),bind(Z,$fot(zero))]]) ).
cnf(refute_1_791,plain,
( complement(top) != zero
| complement(join(top,complement(zero))) = zero ),
inference(resolve,[$cnf( $equal(complement(join(top,complement(zero))),complement(top)) )],[refute_1_789,refute_1_790]) ).
cnf(refute_1_792,plain,
complement(join(top,complement(zero))) = zero,
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_1_90,refute_1_791]) ).
cnf(refute_1_793,plain,
join(zero,complement(join(top,complement(zero)))) = join(zero,complement(join(top,complement(zero)))),
introduced(tautology,[refl,[$fot(join(zero,complement(join(top,complement(zero)))))]]) ).
cnf(refute_1_794,plain,
( complement(join(top,complement(zero))) != zero
| join(zero,complement(join(top,complement(zero)))) != join(zero,complement(join(top,complement(zero))))
| join(zero,complement(join(top,complement(zero)))) = join(zero,zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,complement(join(top,complement(zero)))),join(zero,complement(join(top,complement(zero))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_1_795,plain,
( complement(join(top,complement(zero))) != zero
| join(zero,complement(join(top,complement(zero)))) = join(zero,zero) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(top,complement(zero)))),join(zero,complement(join(top,complement(zero))))) )],[refute_1_793,refute_1_794]) ).
cnf(refute_1_796,plain,
join(zero,complement(join(top,complement(zero)))) = join(zero,zero),
inference(resolve,[$cnf( $equal(complement(join(top,complement(zero))),zero) )],[refute_1_792,refute_1_795]) ).
cnf(refute_1_797,plain,
( join(zero,complement(join(top,complement(zero)))) != join(zero,zero)
| zero != join(zero,complement(join(top,complement(zero))))
| zero = join(zero,zero) ),
introduced(tautology,[equality,[$cnf( $equal(zero,join(zero,complement(join(top,complement(zero))))) ),[1],$fot(join(zero,zero))]]) ).
cnf(refute_1_798,plain,
( zero != join(zero,complement(join(top,complement(zero))))
| zero = join(zero,zero) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(top,complement(zero)))),join(zero,zero)) )],[refute_1_796,refute_1_797]) ).
cnf(refute_1_799,plain,
zero = join(zero,zero),
inference(resolve,[$cnf( $equal(zero,join(zero,complement(join(top,complement(zero))))) )],[refute_1_753,refute_1_798]) ).
cnf(refute_1_800,plain,
( zero != join(zero,zero)
| join(zero,zero) = zero ),
inference(subst,[],[refute_1_5:[bind(X,$fot(zero)),bind(Y,$fot(join(zero,zero)))]]) ).
cnf(refute_1_801,plain,
join(zero,zero) = zero,
inference(resolve,[$cnf( $equal(zero,join(zero,zero)) )],[refute_1_799,refute_1_800]) ).
cnf(refute_1_802,plain,
complement(join(zero,zero)) = complement(join(zero,zero)),
introduced(tautology,[refl,[$fot(complement(join(zero,zero)))]]) ).
cnf(refute_1_803,plain,
( complement(join(zero,zero)) != complement(join(zero,zero))
| join(zero,zero) != zero
| complement(join(zero,zero)) = complement(zero) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(zero,zero)),complement(join(zero,zero))) ),[1,0],$fot(zero)]]) ).
cnf(refute_1_804,plain,
( join(zero,zero) != zero
| complement(join(zero,zero)) = complement(zero) ),
inference(resolve,[$cnf( $equal(complement(join(zero,zero)),complement(join(zero,zero))) )],[refute_1_802,refute_1_803]) ).
cnf(refute_1_805,plain,
complement(join(zero,zero)) = complement(zero),
inference(resolve,[$cnf( $equal(join(zero,zero),zero) )],[refute_1_801,refute_1_804]) ).
cnf(refute_1_806,plain,
( complement(join(zero,zero)) != complement(zero)
| complement(zero) != top
| complement(join(zero,zero)) = top ),
inference(subst,[],[refute_1_52:[bind(X,$fot(complement(join(zero,zero)))),bind(Y,$fot(complement(zero))),bind(Z,$fot(top))]]) ).
cnf(refute_1_807,plain,
( complement(zero) != top
| complement(join(zero,zero)) = top ),
inference(resolve,[$cnf( $equal(complement(join(zero,zero)),complement(zero)) )],[refute_1_805,refute_1_806]) ).
cnf(refute_1_808,plain,
complement(join(zero,zero)) = top,
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_1_259,refute_1_807]) ).
cnf(refute_1_809,plain,
( complement(join(zero,zero)) != top
| meet(top,top) != complement(join(zero,zero))
| meet(top,top) = top ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,top),complement(join(zero,zero))) ),[1],$fot(top)]]) ).
cnf(refute_1_810,plain,
( meet(top,top) != complement(join(zero,zero))
| meet(top,top) = top ),
inference(resolve,[$cnf( $equal(complement(join(zero,zero)),top) )],[refute_1_808,refute_1_809]) ).
cnf(refute_1_811,plain,
meet(top,top) = top,
inference(resolve,[$cnf( $equal(meet(top,top),complement(join(zero,zero))) )],[refute_1_728,refute_1_810]) ).
cnf(refute_1_812,plain,
meet(meet(top,top),meet(zero,X_479)) = meet(meet(top,top),meet(zero,X_479)),
introduced(tautology,[refl,[$fot(meet(meet(top,top),meet(zero,X_479)))]]) ).
cnf(refute_1_813,plain,
( meet(meet(top,top),meet(zero,X_479)) != meet(meet(top,top),meet(zero,X_479))
| meet(top,top) != top
| meet(meet(top,top),meet(zero,X_479)) = meet(top,meet(zero,X_479)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(top,top),meet(zero,X_479)),meet(meet(top,top),meet(zero,X_479))) ),[1,0],$fot(top)]]) ).
cnf(refute_1_814,plain,
( meet(top,top) != top
| meet(meet(top,top),meet(zero,X_479)) = meet(top,meet(zero,X_479)) ),
inference(resolve,[$cnf( $equal(meet(meet(top,top),meet(zero,X_479)),meet(meet(top,top),meet(zero,X_479))) )],[refute_1_812,refute_1_813]) ).
cnf(refute_1_815,plain,
meet(meet(top,top),meet(zero,X_479)) = meet(top,meet(zero,X_479)),
inference(resolve,[$cnf( $equal(meet(top,top),top) )],[refute_1_811,refute_1_814]) ).
cnf(refute_1_816,plain,
meet(meet(zero,X_479),meet(top,top)) = meet(meet(top,top),meet(zero,X_479)),
inference(subst,[],[refute_1_307:[bind(X_406,$fot(meet(top,top))),bind(X_407,$fot(meet(zero,X_479)))]]) ).
cnf(refute_1_817,plain,
( meet(meet(top,top),meet(zero,X_479)) != meet(top,meet(zero,X_479))
| meet(meet(zero,X_479),meet(top,top)) != meet(meet(top,top),meet(zero,X_479))
| meet(meet(zero,X_479),meet(top,top)) = meet(top,meet(zero,X_479)) ),
inference(subst,[],[refute_1_52:[bind(X,$fot(meet(meet(zero,X_479),meet(top,top)))),bind(Y,$fot(meet(meet(top,top),meet(zero,X_479)))),bind(Z,$fot(meet(top,meet(zero,X_479))))]]) ).
cnf(refute_1_818,plain,
( meet(meet(top,top),meet(zero,X_479)) != meet(top,meet(zero,X_479))
| meet(meet(zero,X_479),meet(top,top)) = meet(top,meet(zero,X_479)) ),
inference(resolve,[$cnf( $equal(meet(meet(zero,X_479),meet(top,top)),meet(meet(top,top),meet(zero,X_479))) )],[refute_1_816,refute_1_817]) ).
cnf(refute_1_819,plain,
meet(meet(zero,X_479),meet(top,top)) = meet(top,meet(zero,X_479)),
inference(resolve,[$cnf( $equal(meet(meet(top,top),meet(zero,X_479)),meet(top,meet(zero,X_479))) )],[refute_1_815,refute_1_818]) ).
cnf(refute_1_820,plain,
( meet(meet(zero,X_479),meet(top,top)) != meet(top,meet(zero,X_479))
| meet(meet(zero,X_479),meet(top,top)) != zero
| meet(top,meet(zero,X_479)) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(zero,X_479),meet(top,top)),zero) ),[0],$fot(meet(top,meet(zero,X_479)))]]) ).
cnf(refute_1_821,plain,
( meet(meet(zero,X_479),meet(top,top)) != zero
| meet(top,meet(zero,X_479)) = zero ),
inference(resolve,[$cnf( $equal(meet(meet(zero,X_479),meet(top,top)),meet(top,meet(zero,X_479))) )],[refute_1_819,refute_1_820]) ).
cnf(refute_1_822,plain,
meet(top,meet(zero,X_479)) = zero,
inference(resolve,[$cnf( $equal(meet(meet(zero,X_479),meet(top,top)),zero) )],[refute_1_724,refute_1_821]) ).
cnf(refute_1_823,plain,
meet(top,meet(zero,X_480)) = zero,
inference(subst,[],[refute_1_822:[bind(X_479,$fot(X_480))]]) ).
cnf(refute_1_824,plain,
( meet(top,meet(zero,X_480)) != zero
| meet(zero,X_480) != join(meet(top,meet(zero,X_480)),complement(join(complement(meet(zero,X_480)),top)))
| meet(zero,X_480) = join(zero,complement(join(complement(meet(zero,X_480)),top))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(zero,X_480),join(meet(top,meet(zero,X_480)),complement(join(complement(meet(zero,X_480)),top)))) ),[1,0],$fot(zero)]]) ).
cnf(refute_1_825,plain,
( meet(zero,X_480) != join(meet(top,meet(zero,X_480)),complement(join(complement(meet(zero,X_480)),top)))
| meet(zero,X_480) = join(zero,complement(join(complement(meet(zero,X_480)),top))) ),
inference(resolve,[$cnf( $equal(meet(top,meet(zero,X_480)),zero) )],[refute_1_823,refute_1_824]) ).
cnf(refute_1_826,plain,
meet(zero,X_480) = join(zero,complement(join(complement(meet(zero,X_480)),top))),
inference(resolve,[$cnf( $equal(meet(zero,X_480),join(meet(top,meet(zero,X_480)),complement(join(complement(meet(zero,X_480)),top)))) )],[refute_1_281,refute_1_825]) ).
cnf(refute_1_827,plain,
( top != complement(meet(zero,X_406))
| complement(meet(zero,X_406)) = top ),
inference(subst,[],[refute_1_5:[bind(X,$fot(top)),bind(Y,$fot(complement(meet(zero,X_406))))]]) ).
cnf(refute_1_828,plain,
complement(meet(zero,X_406)) = top,
inference(resolve,[$cnf( $equal(top,complement(meet(zero,X_406))) )],[refute_1_718,refute_1_827]) ).
cnf(refute_1_829,plain,
complement(meet(zero,X_432)) = top,
inference(subst,[],[refute_1_828:[bind(X_406,$fot(X_432))]]) ).
cnf(refute_1_830,plain,
( complement(meet(zero,X_432)) != top
| join(top,complement(X_432)) != complement(meet(zero,X_432))
| join(top,complement(X_432)) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(top,complement(X_432)),complement(meet(zero,X_432))) ),[1],$fot(top)]]) ).
cnf(refute_1_831,plain,
( join(top,complement(X_432)) != complement(meet(zero,X_432))
| join(top,complement(X_432)) = top ),
inference(resolve,[$cnf( $equal(complement(meet(zero,X_432)),top) )],[refute_1_829,refute_1_830]) ).
cnf(refute_1_832,plain,
join(top,complement(X_432)) = top,
inference(resolve,[$cnf( $equal(join(top,complement(X_432)),complement(meet(zero,X_432))) )],[refute_1_593,refute_1_831]) ).
cnf(refute_1_833,plain,
join(top,complement(meet(zero,X_480))) = top,
inference(subst,[],[refute_1_832:[bind(X_432,$fot(meet(zero,X_480)))]]) ).
cnf(refute_1_834,plain,
join(complement(meet(zero,X_480)),top) = join(top,complement(meet(zero,X_480))),
inference(subst,[],[refute_1_711:[bind(X_465,$fot(complement(meet(zero,X_480))))]]) ).
cnf(refute_1_835,plain,
( join(complement(meet(zero,X_480)),top) != join(top,complement(meet(zero,X_480)))
| join(top,complement(meet(zero,X_480))) != top
| join(complement(meet(zero,X_480)),top) = top ),
inference(subst,[],[refute_1_52:[bind(X,$fot(join(complement(meet(zero,X_480)),top))),bind(Y,$fot(join(top,complement(meet(zero,X_480))))),bind(Z,$fot(top))]]) ).
cnf(refute_1_836,plain,
( join(top,complement(meet(zero,X_480))) != top
| join(complement(meet(zero,X_480)),top) = top ),
inference(resolve,[$cnf( $equal(join(complement(meet(zero,X_480)),top),join(top,complement(meet(zero,X_480)))) )],[refute_1_834,refute_1_835]) ).
cnf(refute_1_837,plain,
join(complement(meet(zero,X_480)),top) = top,
inference(resolve,[$cnf( $equal(join(top,complement(meet(zero,X_480))),top) )],[refute_1_833,refute_1_836]) ).
cnf(refute_1_838,plain,
meet(top,join(complement(meet(zero,X_480)),top)) = meet(top,join(complement(meet(zero,X_480)),top)),
introduced(tautology,[refl,[$fot(meet(top,join(complement(meet(zero,X_480)),top)))]]) ).
cnf(refute_1_839,plain,
( join(complement(meet(zero,X_480)),top) != top
| meet(top,join(complement(meet(zero,X_480)),top)) != meet(top,join(complement(meet(zero,X_480)),top))
| meet(top,join(complement(meet(zero,X_480)),top)) = meet(top,top) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,join(complement(meet(zero,X_480)),top)),meet(top,join(complement(meet(zero,X_480)),top))) ),[1,1],$fot(top)]]) ).
cnf(refute_1_840,plain,
( join(complement(meet(zero,X_480)),top) != top
| meet(top,join(complement(meet(zero,X_480)),top)) = meet(top,top) ),
inference(resolve,[$cnf( $equal(meet(top,join(complement(meet(zero,X_480)),top)),meet(top,join(complement(meet(zero,X_480)),top))) )],[refute_1_838,refute_1_839]) ).
cnf(refute_1_841,plain,
meet(top,join(complement(meet(zero,X_480)),top)) = meet(top,top),
inference(resolve,[$cnf( $equal(join(complement(meet(zero,X_480)),top),top) )],[refute_1_837,refute_1_840]) ).
cnf(refute_1_842,plain,
( meet(top,join(complement(meet(zero,X_480)),top)) != meet(top,top)
| meet(top,top) != top
| meet(top,join(complement(meet(zero,X_480)),top)) = top ),
inference(subst,[],[refute_1_52:[bind(X,$fot(meet(top,join(complement(meet(zero,X_480)),top)))),bind(Y,$fot(meet(top,top))),bind(Z,$fot(top))]]) ).
cnf(refute_1_843,plain,
( meet(top,top) != top
| meet(top,join(complement(meet(zero,X_480)),top)) = top ),
inference(resolve,[$cnf( $equal(meet(top,join(complement(meet(zero,X_480)),top)),meet(top,top)) )],[refute_1_841,refute_1_842]) ).
cnf(refute_1_844,plain,
meet(top,join(complement(meet(zero,X_480)),top)) = top,
inference(resolve,[$cnf( $equal(meet(top,top),top) )],[refute_1_811,refute_1_843]) ).
cnf(refute_1_845,plain,
complement(meet(top,join(complement(meet(zero,X_480)),top))) = complement(meet(top,join(complement(meet(zero,X_480)),top))),
introduced(tautology,[refl,[$fot(complement(meet(top,join(complement(meet(zero,X_480)),top))))]]) ).
cnf(refute_1_846,plain,
( complement(meet(top,join(complement(meet(zero,X_480)),top))) != complement(meet(top,join(complement(meet(zero,X_480)),top)))
| meet(top,join(complement(meet(zero,X_480)),top)) != top
| complement(meet(top,join(complement(meet(zero,X_480)),top))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(top,join(complement(meet(zero,X_480)),top))),complement(meet(top,join(complement(meet(zero,X_480)),top)))) ),[1,0],$fot(top)]]) ).
cnf(refute_1_847,plain,
( meet(top,join(complement(meet(zero,X_480)),top)) != top
| complement(meet(top,join(complement(meet(zero,X_480)),top))) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(meet(top,join(complement(meet(zero,X_480)),top))),complement(meet(top,join(complement(meet(zero,X_480)),top)))) )],[refute_1_845,refute_1_846]) ).
cnf(refute_1_848,plain,
complement(meet(top,join(complement(meet(zero,X_480)),top))) = complement(top),
inference(resolve,[$cnf( $equal(meet(top,join(complement(meet(zero,X_480)),top)),top) )],[refute_1_844,refute_1_847]) ).
cnf(refute_1_849,plain,
( complement(meet(top,join(complement(meet(zero,X_480)),top))) != complement(top)
| complement(top) != zero
| complement(meet(top,join(complement(meet(zero,X_480)),top))) = zero ),
inference(subst,[],[refute_1_52:[bind(X,$fot(complement(meet(top,join(complement(meet(zero,X_480)),top))))),bind(Y,$fot(complement(top))),bind(Z,$fot(zero))]]) ).
cnf(refute_1_850,plain,
( complement(top) != zero
| complement(meet(top,join(complement(meet(zero,X_480)),top))) = zero ),
inference(resolve,[$cnf( $equal(complement(meet(top,join(complement(meet(zero,X_480)),top))),complement(top)) )],[refute_1_848,refute_1_849]) ).
cnf(refute_1_851,plain,
complement(meet(top,join(complement(meet(zero,X_480)),top))) = zero,
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_1_90,refute_1_850]) ).
cnf(refute_1_852,plain,
join(zero,complement(join(complement(meet(zero,X_480)),top))) = complement(meet(top,join(complement(meet(zero,X_480)),top))),
inference(subst,[],[refute_1_382:[bind(X_411,$fot(join(complement(meet(zero,X_480)),top)))]]) ).
cnf(refute_1_853,plain,
( complement(meet(top,join(complement(meet(zero,X_480)),top))) != zero
| join(zero,complement(join(complement(meet(zero,X_480)),top))) != complement(meet(top,join(complement(meet(zero,X_480)),top)))
| join(zero,complement(join(complement(meet(zero,X_480)),top))) = zero ),
inference(subst,[],[refute_1_52:[bind(X,$fot(join(zero,complement(join(complement(meet(zero,X_480)),top))))),bind(Y,$fot(complement(meet(top,join(complement(meet(zero,X_480)),top))))),bind(Z,$fot(zero))]]) ).
cnf(refute_1_854,plain,
( complement(meet(top,join(complement(meet(zero,X_480)),top))) != zero
| join(zero,complement(join(complement(meet(zero,X_480)),top))) = zero ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(complement(meet(zero,X_480)),top))),complement(meet(top,join(complement(meet(zero,X_480)),top)))) )],[refute_1_852,refute_1_853]) ).
cnf(refute_1_855,plain,
join(zero,complement(join(complement(meet(zero,X_480)),top))) = zero,
inference(resolve,[$cnf( $equal(complement(meet(top,join(complement(meet(zero,X_480)),top))),zero) )],[refute_1_851,refute_1_854]) ).
cnf(refute_1_856,plain,
( join(zero,complement(join(complement(meet(zero,X_480)),top))) != zero
| meet(zero,X_480) != join(zero,complement(join(complement(meet(zero,X_480)),top)))
| meet(zero,X_480) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(zero,X_480),join(zero,complement(join(complement(meet(zero,X_480)),top)))) ),[1],$fot(zero)]]) ).
cnf(refute_1_857,plain,
( meet(zero,X_480) != join(zero,complement(join(complement(meet(zero,X_480)),top)))
| meet(zero,X_480) = zero ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(complement(meet(zero,X_480)),top))),zero) )],[refute_1_855,refute_1_856]) ).
cnf(refute_1_858,plain,
meet(zero,X_480) = zero,
inference(resolve,[$cnf( $equal(meet(zero,X_480),join(zero,complement(join(complement(meet(zero,X_480)),top)))) )],[refute_1_826,refute_1_857]) ).
cnf(refute_1_859,plain,
meet(zero,X_417) = zero,
inference(subst,[],[refute_1_858:[bind(X_480,$fot(X_417))]]) ).
cnf(refute_1_860,plain,
join(meet(top,X_417),meet(zero,X_417)) = join(meet(top,X_417),meet(zero,X_417)),
introduced(tautology,[refl,[$fot(join(meet(top,X_417),meet(zero,X_417)))]]) ).
cnf(refute_1_861,plain,
( join(meet(top,X_417),meet(zero,X_417)) != join(meet(top,X_417),meet(zero,X_417))
| meet(zero,X_417) != zero
| join(meet(top,X_417),meet(zero,X_417)) = join(meet(top,X_417),zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(top,X_417),meet(zero,X_417)),join(meet(top,X_417),meet(zero,X_417))) ),[1,1],$fot(zero)]]) ).
cnf(refute_1_862,plain,
( meet(zero,X_417) != zero
| join(meet(top,X_417),meet(zero,X_417)) = join(meet(top,X_417),zero) ),
inference(resolve,[$cnf( $equal(join(meet(top,X_417),meet(zero,X_417)),join(meet(top,X_417),meet(zero,X_417))) )],[refute_1_860,refute_1_861]) ).
cnf(refute_1_863,plain,
join(meet(top,X_417),meet(zero,X_417)) = join(meet(top,X_417),zero),
inference(resolve,[$cnf( $equal(meet(zero,X_417),zero) )],[refute_1_859,refute_1_862]) ).
cnf(refute_1_864,plain,
( join(meet(top,X_417),meet(zero,X_417)) != join(meet(top,X_417),zero)
| join(meet(top,X_417),zero) != join(zero,meet(top,X_417))
| join(meet(top,X_417),meet(zero,X_417)) = join(zero,meet(top,X_417)) ),
inference(subst,[],[refute_1_52:[bind(X,$fot(join(meet(top,X_417),meet(zero,X_417)))),bind(Y,$fot(join(meet(top,X_417),zero))),bind(Z,$fot(join(zero,meet(top,X_417))))]]) ).
cnf(refute_1_865,plain,
( join(meet(top,X_417),zero) != join(zero,meet(top,X_417))
| join(meet(top,X_417),meet(zero,X_417)) = join(zero,meet(top,X_417)) ),
inference(resolve,[$cnf( $equal(join(meet(top,X_417),meet(zero,X_417)),join(meet(top,X_417),zero)) )],[refute_1_863,refute_1_864]) ).
cnf(refute_1_866,plain,
join(meet(top,X_417),meet(zero,X_417)) = join(zero,meet(top,X_417)),
inference(resolve,[$cnf( $equal(join(meet(top,X_417),zero),join(zero,meet(top,X_417))) )],[refute_1_273,refute_1_865]) ).
cnf(refute_1_867,plain,
( X_417 != join(meet(top,X_417),meet(zero,X_417))
| join(meet(top,X_417),meet(zero,X_417)) != join(zero,meet(top,X_417))
| X_417 = join(zero,meet(top,X_417)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_417,join(zero,meet(top,X_417))) ),[0],$fot(join(meet(top,X_417),meet(zero,X_417)))]]) ).
cnf(refute_1_868,plain,
( X_417 != join(meet(top,X_417),meet(zero,X_417))
| X_417 = join(zero,meet(top,X_417)) ),
inference(resolve,[$cnf( $equal(join(meet(top,X_417),meet(zero,X_417)),join(zero,meet(top,X_417))) )],[refute_1_866,refute_1_867]) ).
cnf(refute_1_869,plain,
X_417 = join(zero,meet(top,X_417)),
inference(resolve,[$cnf( $equal(X_417,join(meet(top,X_417),meet(zero,X_417))) )],[refute_1_272,refute_1_868]) ).
cnf(refute_1_870,plain,
X_417 = join(meet(X_417,join(zero,complement(complement(X_417)))),complement(join(complement(X_417),join(zero,complement(complement(X_417)))))),
inference(subst,[],[refute_1_114:[bind(X0,$fot(X_417)),bind(X1,$fot(join(zero,complement(complement(X_417)))))]]) ).
cnf(refute_1_871,plain,
top = join(complement(X_417),join(zero,complement(complement(X_417)))),
inference(subst,[],[refute_1_297:[bind(X_412,$fot(X_417))]]) ).
cnf(refute_1_872,plain,
( top != join(complement(X_417),join(zero,complement(complement(X_417))))
| join(complement(X_417),join(zero,complement(complement(X_417)))) = top ),
inference(subst,[],[refute_1_5:[bind(X,$fot(top)),bind(Y,$fot(join(complement(X_417),join(zero,complement(complement(X_417))))))]]) ).
cnf(refute_1_873,plain,
join(complement(X_417),join(zero,complement(complement(X_417)))) = top,
inference(resolve,[$cnf( $equal(top,join(complement(X_417),join(zero,complement(complement(X_417))))) )],[refute_1_871,refute_1_872]) ).
cnf(refute_1_874,plain,
( X_417 != join(meet(X_417,join(zero,complement(complement(X_417)))),complement(join(complement(X_417),join(zero,complement(complement(X_417))))))
| join(complement(X_417),join(zero,complement(complement(X_417)))) != top
| X_417 = join(meet(X_417,join(zero,complement(complement(X_417)))),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(X_417,join(meet(X_417,join(zero,complement(complement(X_417)))),complement(join(complement(X_417),join(zero,complement(complement(X_417))))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_1_875,plain,
( X_417 != join(meet(X_417,join(zero,complement(complement(X_417)))),complement(join(complement(X_417),join(zero,complement(complement(X_417))))))
| X_417 = join(meet(X_417,join(zero,complement(complement(X_417)))),complement(top)) ),
inference(resolve,[$cnf( $equal(join(complement(X_417),join(zero,complement(complement(X_417)))),top) )],[refute_1_873,refute_1_874]) ).
cnf(refute_1_876,plain,
X_417 = join(meet(X_417,join(zero,complement(complement(X_417)))),complement(top)),
inference(resolve,[$cnf( $equal(X_417,join(meet(X_417,join(zero,complement(complement(X_417)))),complement(join(complement(X_417),join(zero,complement(complement(X_417))))))) )],[refute_1_870,refute_1_875]) ).
cnf(refute_1_877,plain,
join(complement(top),meet(X_417,join(zero,complement(complement(X_417))))) = join(complement(top),meet(X_417,join(zero,complement(complement(X_417))))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(X_417,join(zero,complement(complement(X_417))))))]]) ).
cnf(refute_1_878,plain,
( complement(top) != zero
| join(complement(top),meet(X_417,join(zero,complement(complement(X_417))))) != join(complement(top),meet(X_417,join(zero,complement(complement(X_417)))))
| join(complement(top),meet(X_417,join(zero,complement(complement(X_417))))) = join(zero,meet(X_417,join(zero,complement(complement(X_417))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(X_417,join(zero,complement(complement(X_417))))),join(complement(top),meet(X_417,join(zero,complement(complement(X_417)))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_1_879,plain,
( complement(top) != zero
| join(complement(top),meet(X_417,join(zero,complement(complement(X_417))))) = join(zero,meet(X_417,join(zero,complement(complement(X_417))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_417,join(zero,complement(complement(X_417))))),join(complement(top),meet(X_417,join(zero,complement(complement(X_417)))))) )],[refute_1_877,refute_1_878]) ).
cnf(refute_1_880,plain,
join(complement(top),meet(X_417,join(zero,complement(complement(X_417))))) = join(zero,meet(X_417,join(zero,complement(complement(X_417))))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_1_90,refute_1_879]) ).
cnf(refute_1_881,plain,
join(meet(X_417,join(zero,complement(complement(X_417)))),complement(top)) = join(complement(top),meet(X_417,join(zero,complement(complement(X_417))))),
inference(subst,[],[refute_1_7:[bind(X0,$fot(complement(top))),bind(X1,$fot(meet(X_417,join(zero,complement(complement(X_417))))))]]) ).
cnf(refute_1_882,plain,
( join(complement(top),meet(X_417,join(zero,complement(complement(X_417))))) != join(zero,meet(X_417,join(zero,complement(complement(X_417)))))
| join(meet(X_417,join(zero,complement(complement(X_417)))),complement(top)) != join(complement(top),meet(X_417,join(zero,complement(complement(X_417)))))
| join(meet(X_417,join(zero,complement(complement(X_417)))),complement(top)) = join(zero,meet(X_417,join(zero,complement(complement(X_417))))) ),
inference(subst,[],[refute_1_52:[bind(X,$fot(join(meet(X_417,join(zero,complement(complement(X_417)))),complement(top)))),bind(Y,$fot(join(complement(top),meet(X_417,join(zero,complement(complement(X_417))))))),bind(Z,$fot(join(zero,meet(X_417,join(zero,complement(complement(X_417)))))))]]) ).
cnf(refute_1_883,plain,
( join(complement(top),meet(X_417,join(zero,complement(complement(X_417))))) != join(zero,meet(X_417,join(zero,complement(complement(X_417)))))
| join(meet(X_417,join(zero,complement(complement(X_417)))),complement(top)) = join(zero,meet(X_417,join(zero,complement(complement(X_417))))) ),
inference(resolve,[$cnf( $equal(join(meet(X_417,join(zero,complement(complement(X_417)))),complement(top)),join(complement(top),meet(X_417,join(zero,complement(complement(X_417)))))) )],[refute_1_881,refute_1_882]) ).
cnf(refute_1_884,plain,
join(meet(X_417,join(zero,complement(complement(X_417)))),complement(top)) = join(zero,meet(X_417,join(zero,complement(complement(X_417))))),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_417,join(zero,complement(complement(X_417))))),join(zero,meet(X_417,join(zero,complement(complement(X_417)))))) )],[refute_1_880,refute_1_883]) ).
cnf(refute_1_885,plain,
( X_417 != join(meet(X_417,join(zero,complement(complement(X_417)))),complement(top))
| join(meet(X_417,join(zero,complement(complement(X_417)))),complement(top)) != join(zero,meet(X_417,join(zero,complement(complement(X_417)))))
| X_417 = join(zero,meet(X_417,join(zero,complement(complement(X_417))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_417,join(zero,meet(X_417,join(zero,complement(complement(X_417)))))) ),[0],$fot(join(meet(X_417,join(zero,complement(complement(X_417)))),complement(top)))]]) ).
cnf(refute_1_886,plain,
( X_417 != join(meet(X_417,join(zero,complement(complement(X_417)))),complement(top))
| X_417 = join(zero,meet(X_417,join(zero,complement(complement(X_417))))) ),
inference(resolve,[$cnf( $equal(join(meet(X_417,join(zero,complement(complement(X_417)))),complement(top)),join(zero,meet(X_417,join(zero,complement(complement(X_417)))))) )],[refute_1_884,refute_1_885]) ).
cnf(refute_1_887,plain,
X_417 = join(zero,meet(X_417,join(zero,complement(complement(X_417))))),
inference(resolve,[$cnf( $equal(X_417,join(meet(X_417,join(zero,complement(complement(X_417)))),complement(top))) )],[refute_1_876,refute_1_886]) ).
cnf(refute_1_888,plain,
join(zero,complement(complement(X_417))) = complement(meet(top,complement(X_417))),
inference(subst,[],[refute_1_382:[bind(X_411,$fot(complement(X_417)))]]) ).
cnf(refute_1_889,plain,
meet(X_417,join(zero,complement(complement(X_417)))) = meet(X_417,join(zero,complement(complement(X_417)))),
introduced(tautology,[refl,[$fot(meet(X_417,join(zero,complement(complement(X_417)))))]]) ).
cnf(refute_1_890,plain,
( join(zero,complement(complement(X_417))) != complement(meet(top,complement(X_417)))
| meet(X_417,join(zero,complement(complement(X_417)))) != meet(X_417,join(zero,complement(complement(X_417))))
| meet(X_417,join(zero,complement(complement(X_417)))) = meet(X_417,complement(meet(top,complement(X_417)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_417,join(zero,complement(complement(X_417)))),meet(X_417,join(zero,complement(complement(X_417))))) ),[1,1],$fot(complement(meet(top,complement(X_417))))]]) ).
cnf(refute_1_891,plain,
( join(zero,complement(complement(X_417))) != complement(meet(top,complement(X_417)))
| meet(X_417,join(zero,complement(complement(X_417)))) = meet(X_417,complement(meet(top,complement(X_417)))) ),
inference(resolve,[$cnf( $equal(meet(X_417,join(zero,complement(complement(X_417)))),meet(X_417,join(zero,complement(complement(X_417))))) )],[refute_1_889,refute_1_890]) ).
cnf(refute_1_892,plain,
meet(X_417,join(zero,complement(complement(X_417)))) = meet(X_417,complement(meet(top,complement(X_417)))),
inference(resolve,[$cnf( $equal(join(zero,complement(complement(X_417))),complement(meet(top,complement(X_417)))) )],[refute_1_888,refute_1_891]) ).
cnf(refute_1_893,plain,
join(zero,meet(X_417,join(zero,complement(complement(X_417))))) = join(zero,meet(X_417,join(zero,complement(complement(X_417))))),
introduced(tautology,[refl,[$fot(join(zero,meet(X_417,join(zero,complement(complement(X_417))))))]]) ).
cnf(refute_1_894,plain,
( join(zero,meet(X_417,join(zero,complement(complement(X_417))))) != join(zero,meet(X_417,join(zero,complement(complement(X_417)))))
| meet(X_417,join(zero,complement(complement(X_417)))) != meet(X_417,complement(meet(top,complement(X_417))))
| join(zero,meet(X_417,join(zero,complement(complement(X_417))))) = join(zero,meet(X_417,complement(meet(top,complement(X_417))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(X_417,join(zero,complement(complement(X_417))))),join(zero,meet(X_417,join(zero,complement(complement(X_417)))))) ),[1,1],$fot(meet(X_417,complement(meet(top,complement(X_417)))))]]) ).
cnf(refute_1_895,plain,
( meet(X_417,join(zero,complement(complement(X_417)))) != meet(X_417,complement(meet(top,complement(X_417))))
| join(zero,meet(X_417,join(zero,complement(complement(X_417))))) = join(zero,meet(X_417,complement(meet(top,complement(X_417))))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_417,join(zero,complement(complement(X_417))))),join(zero,meet(X_417,join(zero,complement(complement(X_417)))))) )],[refute_1_893,refute_1_894]) ).
cnf(refute_1_896,plain,
join(zero,meet(X_417,join(zero,complement(complement(X_417))))) = join(zero,meet(X_417,complement(meet(top,complement(X_417))))),
inference(resolve,[$cnf( $equal(meet(X_417,join(zero,complement(complement(X_417)))),meet(X_417,complement(meet(top,complement(X_417))))) )],[refute_1_892,refute_1_895]) ).
cnf(refute_1_897,plain,
( X_417 != join(zero,meet(X_417,join(zero,complement(complement(X_417)))))
| join(zero,meet(X_417,join(zero,complement(complement(X_417))))) != join(zero,meet(X_417,complement(meet(top,complement(X_417)))))
| X_417 = join(zero,meet(X_417,complement(meet(top,complement(X_417))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_417,join(zero,meet(X_417,complement(meet(top,complement(X_417)))))) ),[0],$fot(join(zero,meet(X_417,join(zero,complement(complement(X_417))))))]]) ).
cnf(refute_1_898,plain,
( X_417 != join(zero,meet(X_417,join(zero,complement(complement(X_417)))))
| X_417 = join(zero,meet(X_417,complement(meet(top,complement(X_417))))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_417,join(zero,complement(complement(X_417))))),join(zero,meet(X_417,complement(meet(top,complement(X_417)))))) )],[refute_1_896,refute_1_897]) ).
cnf(refute_1_899,plain,
X_417 = join(zero,meet(X_417,complement(meet(top,complement(X_417))))),
inference(resolve,[$cnf( $equal(X_417,join(zero,meet(X_417,join(zero,complement(complement(X_417)))))) )],[refute_1_887,refute_1_898]) ).
cnf(refute_1_900,plain,
meet(top,X_437) = join(zero,meet(meet(top,X_437),complement(meet(top,complement(meet(top,X_437)))))),
inference(subst,[],[refute_1_899:[bind(X_417,$fot(meet(top,X_437)))]]) ).
cnf(refute_1_901,plain,
complement(meet(top,X_437)) = join(zero,complement(X_437)),
inference(subst,[],[refute_1_380:[bind(X_411,$fot(X_437))]]) ).
cnf(refute_1_902,plain,
meet(X_437,top) = meet(top,X_437),
inference(subst,[],[refute_1_198:[bind(X_406,$fot(X_437)),bind(X_407,$fot(top))]]) ).
cnf(refute_1_903,plain,
( meet(X_437,top) != meet(top,X_437)
| meet(top,X_437) = meet(X_437,top) ),
inference(subst,[],[refute_1_5:[bind(X,$fot(meet(X_437,top))),bind(Y,$fot(meet(top,X_437)))]]) ).
cnf(refute_1_904,plain,
meet(top,X_437) = meet(X_437,top),
inference(resolve,[$cnf( $equal(meet(X_437,top),meet(top,X_437)) )],[refute_1_902,refute_1_903]) ).
cnf(refute_1_905,plain,
( complement(meet(top,X_437)) != join(zero,complement(X_437))
| meet(top,X_437) != meet(X_437,top)
| complement(meet(X_437,top)) = join(zero,complement(X_437)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(top,X_437)),join(zero,complement(X_437))) ),[0,0],$fot(meet(X_437,top))]]) ).
cnf(refute_1_906,plain,
( complement(meet(top,X_437)) != join(zero,complement(X_437))
| complement(meet(X_437,top)) = join(zero,complement(X_437)) ),
inference(resolve,[$cnf( $equal(meet(top,X_437),meet(X_437,top)) )],[refute_1_904,refute_1_905]) ).
cnf(refute_1_907,plain,
complement(meet(X_437,top)) = join(zero,complement(X_437)),
inference(resolve,[$cnf( $equal(complement(meet(top,X_437)),join(zero,complement(X_437))) )],[refute_1_901,refute_1_906]) ).
cnf(refute_1_908,plain,
join(zero,complement(X_437)) = complement(meet(top,X_437)),
inference(subst,[],[refute_1_382:[bind(X_411,$fot(X_437))]]) ).
cnf(refute_1_909,plain,
( complement(meet(X_437,top)) != join(zero,complement(X_437))
| join(zero,complement(X_437)) != complement(meet(top,X_437))
| complement(meet(X_437,top)) = complement(meet(top,X_437)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(meet(X_437,top)),complement(meet(top,X_437))) ),[0],$fot(join(zero,complement(X_437)))]]) ).
cnf(refute_1_910,plain,
( complement(meet(X_437,top)) != join(zero,complement(X_437))
| complement(meet(X_437,top)) = complement(meet(top,X_437)) ),
inference(resolve,[$cnf( $equal(join(zero,complement(X_437)),complement(meet(top,X_437))) )],[refute_1_908,refute_1_909]) ).
cnf(refute_1_911,plain,
complement(meet(X_437,top)) = complement(meet(top,X_437)),
inference(resolve,[$cnf( $equal(complement(meet(X_437,top)),join(zero,complement(X_437))) )],[refute_1_907,refute_1_910]) ).
cnf(refute_1_912,plain,
( complement(meet(X_437,top)) != complement(meet(top,X_437))
| complement(meet(top,X_437)) = complement(meet(X_437,top)) ),
inference(subst,[],[refute_1_5:[bind(X,$fot(complement(meet(X_437,top)))),bind(Y,$fot(complement(meet(top,X_437))))]]) ).
cnf(refute_1_913,plain,
complement(meet(top,X_437)) = complement(meet(X_437,top)),
inference(resolve,[$cnf( $equal(complement(meet(X_437,top)),complement(meet(top,X_437))) )],[refute_1_911,refute_1_912]) ).
cnf(refute_1_914,plain,
( complement(meet(top,X_437)) != complement(meet(X_437,top))
| meet(top,X_437) != join(zero,meet(meet(top,X_437),complement(meet(top,complement(meet(top,X_437))))))
| meet(top,X_437) = join(zero,meet(meet(top,X_437),complement(meet(top,complement(meet(X_437,top)))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,X_437),join(zero,meet(meet(top,X_437),complement(meet(top,complement(meet(top,X_437))))))) ),[1,1,1,0,1],$fot(complement(meet(X_437,top)))]]) ).
cnf(refute_1_915,plain,
( meet(top,X_437) != join(zero,meet(meet(top,X_437),complement(meet(top,complement(meet(top,X_437))))))
| meet(top,X_437) = join(zero,meet(meet(top,X_437),complement(meet(top,complement(meet(X_437,top)))))) ),
inference(resolve,[$cnf( $equal(complement(meet(top,X_437)),complement(meet(X_437,top))) )],[refute_1_913,refute_1_914]) ).
cnf(refute_1_916,plain,
meet(top,X_437) = join(zero,meet(meet(top,X_437),complement(meet(top,complement(meet(X_437,top)))))),
inference(resolve,[$cnf( $equal(meet(top,X_437),join(zero,meet(meet(top,X_437),complement(meet(top,complement(meet(top,X_437))))))) )],[refute_1_900,refute_1_915]) ).
cnf(refute_1_917,plain,
complement(meet(top,join(complement(X0),complement(X1)))) = join(zero,complement(join(complement(X0),complement(X1)))),
inference(subst,[],[refute_1_380:[bind(X_411,$fot(join(complement(X0),complement(X1))))]]) ).
cnf(refute_1_918,plain,
( complement(join(complement(X0),complement(X1))) != meet(X0,X1)
| complement(meet(top,join(complement(X0),complement(X1)))) != join(zero,complement(join(complement(X0),complement(X1))))
| complement(meet(top,join(complement(X0),complement(X1)))) = join(zero,meet(X0,X1)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(top,join(complement(X0),complement(X1)))),join(zero,complement(join(complement(X0),complement(X1))))) ),[1,1],$fot(meet(X0,X1))]]) ).
cnf(refute_1_919,plain,
( complement(meet(top,join(complement(X0),complement(X1)))) != join(zero,complement(join(complement(X0),complement(X1))))
| complement(meet(top,join(complement(X0),complement(X1)))) = join(zero,meet(X0,X1)) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X0),complement(X1))),meet(X0,X1)) )],[refute_1_104,refute_1_918]) ).
cnf(refute_1_920,plain,
complement(meet(top,join(complement(X0),complement(X1)))) = join(zero,meet(X0,X1)),
inference(resolve,[$cnf( $equal(complement(meet(top,join(complement(X0),complement(X1)))),join(zero,complement(join(complement(X0),complement(X1))))) )],[refute_1_917,refute_1_919]) ).
cnf(refute_1_921,plain,
join(complement(top),meet(X0,X1)) = join(complement(top),meet(X0,X1)),
introduced(tautology,[refl,[$fot(join(complement(top),meet(X0,X1)))]]) ).
cnf(refute_1_922,plain,
( complement(top) != zero
| join(complement(top),meet(X0,X1)) != join(complement(top),meet(X0,X1))
| join(complement(top),meet(X0,X1)) = join(zero,meet(X0,X1)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(X0,X1)),join(complement(top),meet(X0,X1))) ),[1,0],$fot(zero)]]) ).
cnf(refute_1_923,plain,
( complement(top) != zero
| join(complement(top),meet(X0,X1)) = join(zero,meet(X0,X1)) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X0,X1)),join(complement(top),meet(X0,X1))) )],[refute_1_921,refute_1_922]) ).
cnf(refute_1_924,plain,
join(complement(top),meet(X0,X1)) = join(zero,meet(X0,X1)),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_1_90,refute_1_923]) ).
cnf(refute_1_925,plain,
complement(join(complement(top),meet(X0,X1))) = complement(join(complement(top),meet(X0,X1))),
introduced(tautology,[refl,[$fot(complement(join(complement(top),meet(X0,X1))))]]) ).
cnf(refute_1_926,plain,
( complement(join(complement(top),meet(X0,X1))) != complement(join(complement(top),meet(X0,X1)))
| join(complement(top),meet(X0,X1)) != join(zero,meet(X0,X1))
| complement(join(complement(top),meet(X0,X1))) = complement(join(zero,meet(X0,X1))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(top),meet(X0,X1))),complement(join(complement(top),meet(X0,X1)))) ),[1,0],$fot(join(zero,meet(X0,X1)))]]) ).
cnf(refute_1_927,plain,
( join(complement(top),meet(X0,X1)) != join(zero,meet(X0,X1))
| complement(join(complement(top),meet(X0,X1))) = complement(join(zero,meet(X0,X1))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(top),meet(X0,X1))),complement(join(complement(top),meet(X0,X1)))) )],[refute_1_925,refute_1_926]) ).
cnf(refute_1_928,plain,
complement(join(complement(top),meet(X0,X1))) = complement(join(zero,meet(X0,X1))),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X0,X1)),join(zero,meet(X0,X1))) )],[refute_1_924,refute_1_927]) ).
cnf(refute_1_929,plain,
meet(top,join(complement(X0),complement(X1))) = complement(join(complement(top),meet(X0,X1))),
inference(subst,[],[refute_1_448:[bind(X0,$fot(top)),bind(X_406,$fot(X0)),bind(X_407,$fot(X1))]]) ).
cnf(refute_1_930,plain,
( complement(join(complement(top),meet(X0,X1))) != complement(join(zero,meet(X0,X1)))
| meet(top,join(complement(X0),complement(X1))) != complement(join(complement(top),meet(X0,X1)))
| meet(top,join(complement(X0),complement(X1))) = complement(join(zero,meet(X0,X1))) ),
inference(subst,[],[refute_1_52:[bind(X,$fot(meet(top,join(complement(X0),complement(X1))))),bind(Y,$fot(complement(join(complement(top),meet(X0,X1))))),bind(Z,$fot(complement(join(zero,meet(X0,X1)))))]]) ).
cnf(refute_1_931,plain,
( complement(join(complement(top),meet(X0,X1))) != complement(join(zero,meet(X0,X1)))
| meet(top,join(complement(X0),complement(X1))) = complement(join(zero,meet(X0,X1))) ),
inference(resolve,[$cnf( $equal(meet(top,join(complement(X0),complement(X1))),complement(join(complement(top),meet(X0,X1)))) )],[refute_1_929,refute_1_930]) ).
cnf(refute_1_932,plain,
meet(top,join(complement(X0),complement(X1))) = complement(join(zero,meet(X0,X1))),
inference(resolve,[$cnf( $equal(complement(join(complement(top),meet(X0,X1))),complement(join(zero,meet(X0,X1)))) )],[refute_1_928,refute_1_931]) ).
cnf(refute_1_933,plain,
complement(meet(top,join(complement(X0),complement(X1)))) = complement(meet(top,join(complement(X0),complement(X1)))),
introduced(tautology,[refl,[$fot(complement(meet(top,join(complement(X0),complement(X1)))))]]) ).
cnf(refute_1_934,plain,
( complement(meet(top,join(complement(X0),complement(X1)))) != complement(meet(top,join(complement(X0),complement(X1))))
| meet(top,join(complement(X0),complement(X1))) != complement(join(zero,meet(X0,X1)))
| complement(meet(top,join(complement(X0),complement(X1)))) = complement(complement(join(zero,meet(X0,X1)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(top,join(complement(X0),complement(X1)))),complement(meet(top,join(complement(X0),complement(X1))))) ),[1,0],$fot(complement(join(zero,meet(X0,X1))))]]) ).
cnf(refute_1_935,plain,
( meet(top,join(complement(X0),complement(X1))) != complement(join(zero,meet(X0,X1)))
| complement(meet(top,join(complement(X0),complement(X1)))) = complement(complement(join(zero,meet(X0,X1)))) ),
inference(resolve,[$cnf( $equal(complement(meet(top,join(complement(X0),complement(X1)))),complement(meet(top,join(complement(X0),complement(X1))))) )],[refute_1_933,refute_1_934]) ).
cnf(refute_1_936,plain,
complement(meet(top,join(complement(X0),complement(X1)))) = complement(complement(join(zero,meet(X0,X1)))),
inference(resolve,[$cnf( $equal(meet(top,join(complement(X0),complement(X1))),complement(join(zero,meet(X0,X1)))) )],[refute_1_932,refute_1_935]) ).
cnf(refute_1_937,plain,
( complement(meet(top,join(complement(X0),complement(X1)))) != complement(complement(join(zero,meet(X0,X1))))
| complement(meet(top,join(complement(X0),complement(X1)))) != join(zero,meet(X0,X1))
| complement(complement(join(zero,meet(X0,X1)))) = join(zero,meet(X0,X1)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(top,join(complement(X0),complement(X1)))),join(zero,meet(X0,X1))) ),[0],$fot(complement(complement(join(zero,meet(X0,X1)))))]]) ).
cnf(refute_1_938,plain,
( complement(meet(top,join(complement(X0),complement(X1)))) != join(zero,meet(X0,X1))
| complement(complement(join(zero,meet(X0,X1)))) = join(zero,meet(X0,X1)) ),
inference(resolve,[$cnf( $equal(complement(meet(top,join(complement(X0),complement(X1)))),complement(complement(join(zero,meet(X0,X1))))) )],[refute_1_936,refute_1_937]) ).
cnf(refute_1_939,plain,
complement(complement(join(zero,meet(X0,X1)))) = join(zero,meet(X0,X1)),
inference(resolve,[$cnf( $equal(complement(meet(top,join(complement(X0),complement(X1)))),join(zero,meet(X0,X1))) )],[refute_1_920,refute_1_938]) ).
cnf(refute_1_940,plain,
complement(complement(join(zero,meet(top,X_437)))) = join(zero,meet(top,X_437)),
inference(subst,[],[refute_1_939:[bind(X0,$fot(top)),bind(X1,$fot(X_437))]]) ).
cnf(refute_1_941,plain,
meet(top,join(zero,complement(X_411))) = complement(join(zero,complement(join(zero,complement(X_411))))),
inference(subst,[],[refute_1_123:[bind(X1,$fot(join(zero,complement(X_411))))]]) ).
cnf(refute_1_942,plain,
( complement(join(zero,complement(X_411))) != meet(top,X_411)
| meet(top,join(zero,complement(X_411))) != complement(join(zero,complement(join(zero,complement(X_411)))))
| meet(top,join(zero,complement(X_411))) = complement(join(zero,meet(top,X_411))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,join(zero,complement(X_411))),complement(join(zero,complement(join(zero,complement(X_411)))))) ),[1,0,1],$fot(meet(top,X_411))]]) ).
cnf(refute_1_943,plain,
( meet(top,join(zero,complement(X_411))) != complement(join(zero,complement(join(zero,complement(X_411)))))
| meet(top,join(zero,complement(X_411))) = complement(join(zero,meet(top,X_411))) ),
inference(resolve,[$cnf( $equal(complement(join(zero,complement(X_411))),meet(top,X_411)) )],[refute_1_302,refute_1_942]) ).
cnf(refute_1_944,plain,
meet(top,join(zero,complement(X_411))) = complement(join(zero,meet(top,X_411))),
inference(resolve,[$cnf( $equal(meet(top,join(zero,complement(X_411))),complement(join(zero,complement(join(zero,complement(X_411)))))) )],[refute_1_941,refute_1_943]) ).
cnf(refute_1_945,plain,
meet(top,join(zero,complement(X_411))) = meet(top,join(zero,complement(X_411))),
introduced(tautology,[refl,[$fot(meet(top,join(zero,complement(X_411))))]]) ).
cnf(refute_1_946,plain,
( join(zero,complement(X_411)) != complement(meet(top,X_411))
| meet(top,join(zero,complement(X_411))) != meet(top,join(zero,complement(X_411)))
| meet(top,join(zero,complement(X_411))) = meet(top,complement(meet(top,X_411))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,join(zero,complement(X_411))),meet(top,join(zero,complement(X_411)))) ),[1,1],$fot(complement(meet(top,X_411)))]]) ).
cnf(refute_1_947,plain,
( join(zero,complement(X_411)) != complement(meet(top,X_411))
| meet(top,join(zero,complement(X_411))) = meet(top,complement(meet(top,X_411))) ),
inference(resolve,[$cnf( $equal(meet(top,join(zero,complement(X_411))),meet(top,join(zero,complement(X_411)))) )],[refute_1_945,refute_1_946]) ).
cnf(refute_1_948,plain,
meet(top,join(zero,complement(X_411))) = meet(top,complement(meet(top,X_411))),
inference(resolve,[$cnf( $equal(join(zero,complement(X_411)),complement(meet(top,X_411))) )],[refute_1_382,refute_1_947]) ).
cnf(refute_1_949,plain,
( meet(top,join(zero,complement(X_411))) != complement(join(zero,meet(top,X_411)))
| meet(top,join(zero,complement(X_411))) != meet(top,complement(meet(top,X_411)))
| meet(top,complement(meet(top,X_411))) = complement(join(zero,meet(top,X_411))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,join(zero,complement(X_411))),complement(join(zero,meet(top,X_411)))) ),[0],$fot(meet(top,complement(meet(top,X_411))))]]) ).
cnf(refute_1_950,plain,
( meet(top,join(zero,complement(X_411))) != complement(join(zero,meet(top,X_411)))
| meet(top,complement(meet(top,X_411))) = complement(join(zero,meet(top,X_411))) ),
inference(resolve,[$cnf( $equal(meet(top,join(zero,complement(X_411))),meet(top,complement(meet(top,X_411)))) )],[refute_1_948,refute_1_949]) ).
cnf(refute_1_951,plain,
meet(top,complement(meet(top,X_411))) = complement(join(zero,meet(top,X_411))),
inference(resolve,[$cnf( $equal(meet(top,join(zero,complement(X_411))),complement(join(zero,meet(top,X_411)))) )],[refute_1_944,refute_1_950]) ).
cnf(refute_1_952,plain,
meet(top,complement(meet(top,X_447))) = complement(join(zero,meet(top,X_447))),
inference(subst,[],[refute_1_951:[bind(X_411,$fot(X_447))]]) ).
cnf(refute_1_953,plain,
meet(X_447,top) = meet(top,X_447),
inference(subst,[],[refute_1_198:[bind(X_406,$fot(X_447)),bind(X_407,$fot(top))]]) ).
cnf(refute_1_954,plain,
( meet(X_447,top) != meet(top,X_447)
| meet(top,X_447) = meet(X_447,top) ),
inference(subst,[],[refute_1_5:[bind(X,$fot(meet(X_447,top))),bind(Y,$fot(meet(top,X_447)))]]) ).
cnf(refute_1_955,plain,
meet(top,X_447) = meet(X_447,top),
inference(resolve,[$cnf( $equal(meet(X_447,top),meet(top,X_447)) )],[refute_1_953,refute_1_954]) ).
cnf(refute_1_956,plain,
( meet(top,X_447) != meet(X_447,top)
| meet(top,complement(meet(top,X_447))) != complement(join(zero,meet(top,X_447)))
| meet(top,complement(meet(X_447,top))) = complement(join(zero,meet(top,X_447))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,complement(meet(top,X_447))),complement(join(zero,meet(top,X_447)))) ),[0,1,0],$fot(meet(X_447,top))]]) ).
cnf(refute_1_957,plain,
( meet(top,complement(meet(top,X_447))) != complement(join(zero,meet(top,X_447)))
| meet(top,complement(meet(X_447,top))) = complement(join(zero,meet(top,X_447))) ),
inference(resolve,[$cnf( $equal(meet(top,X_447),meet(X_447,top)) )],[refute_1_955,refute_1_956]) ).
cnf(refute_1_958,plain,
meet(top,complement(meet(X_447,top))) = complement(join(zero,meet(top,X_447))),
inference(resolve,[$cnf( $equal(meet(top,complement(meet(top,X_447))),complement(join(zero,meet(top,X_447)))) )],[refute_1_952,refute_1_957]) ).
cnf(refute_1_959,plain,
meet(top,complement(meet(X_437,top))) = complement(join(zero,meet(top,X_437))),
inference(subst,[],[refute_1_958:[bind(X_447,$fot(X_437))]]) ).
cnf(refute_1_960,plain,
complement(meet(top,complement(meet(X_437,top)))) = complement(meet(top,complement(meet(X_437,top)))),
introduced(tautology,[refl,[$fot(complement(meet(top,complement(meet(X_437,top)))))]]) ).
cnf(refute_1_961,plain,
( complement(meet(top,complement(meet(X_437,top)))) != complement(meet(top,complement(meet(X_437,top))))
| meet(top,complement(meet(X_437,top))) != complement(join(zero,meet(top,X_437)))
| complement(meet(top,complement(meet(X_437,top)))) = complement(complement(join(zero,meet(top,X_437)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(top,complement(meet(X_437,top)))),complement(meet(top,complement(meet(X_437,top))))) ),[1,0],$fot(complement(join(zero,meet(top,X_437))))]]) ).
cnf(refute_1_962,plain,
( meet(top,complement(meet(X_437,top))) != complement(join(zero,meet(top,X_437)))
| complement(meet(top,complement(meet(X_437,top)))) = complement(complement(join(zero,meet(top,X_437)))) ),
inference(resolve,[$cnf( $equal(complement(meet(top,complement(meet(X_437,top)))),complement(meet(top,complement(meet(X_437,top))))) )],[refute_1_960,refute_1_961]) ).
cnf(refute_1_963,plain,
complement(meet(top,complement(meet(X_437,top)))) = complement(complement(join(zero,meet(top,X_437)))),
inference(resolve,[$cnf( $equal(meet(top,complement(meet(X_437,top))),complement(join(zero,meet(top,X_437)))) )],[refute_1_959,refute_1_962]) ).
cnf(refute_1_964,plain,
( complement(complement(join(zero,meet(top,X_437)))) != join(zero,meet(top,X_437))
| complement(meet(top,complement(meet(X_437,top)))) != complement(complement(join(zero,meet(top,X_437))))
| complement(meet(top,complement(meet(X_437,top)))) = join(zero,meet(top,X_437)) ),
inference(subst,[],[refute_1_52:[bind(X,$fot(complement(meet(top,complement(meet(X_437,top)))))),bind(Y,$fot(complement(complement(join(zero,meet(top,X_437)))))),bind(Z,$fot(join(zero,meet(top,X_437))))]]) ).
cnf(refute_1_965,plain,
( complement(complement(join(zero,meet(top,X_437)))) != join(zero,meet(top,X_437))
| complement(meet(top,complement(meet(X_437,top)))) = join(zero,meet(top,X_437)) ),
inference(resolve,[$cnf( $equal(complement(meet(top,complement(meet(X_437,top)))),complement(complement(join(zero,meet(top,X_437))))) )],[refute_1_963,refute_1_964]) ).
cnf(refute_1_966,plain,
complement(meet(top,complement(meet(X_437,top)))) = join(zero,meet(top,X_437)),
inference(resolve,[$cnf( $equal(complement(complement(join(zero,meet(top,X_437)))),join(zero,meet(top,X_437))) )],[refute_1_940,refute_1_965]) ).
cnf(refute_1_967,plain,
meet(meet(top,X_437),complement(meet(top,complement(meet(X_437,top))))) = meet(meet(top,X_437),complement(meet(top,complement(meet(X_437,top))))),
introduced(tautology,[refl,[$fot(meet(meet(top,X_437),complement(meet(top,complement(meet(X_437,top))))))]]) ).
cnf(refute_1_968,plain,
( complement(meet(top,complement(meet(X_437,top)))) != join(zero,meet(top,X_437))
| meet(meet(top,X_437),complement(meet(top,complement(meet(X_437,top))))) != meet(meet(top,X_437),complement(meet(top,complement(meet(X_437,top)))))
| meet(meet(top,X_437),complement(meet(top,complement(meet(X_437,top))))) = meet(meet(top,X_437),join(zero,meet(top,X_437))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(top,X_437),complement(meet(top,complement(meet(X_437,top))))),meet(meet(top,X_437),complement(meet(top,complement(meet(X_437,top)))))) ),[1,1],$fot(join(zero,meet(top,X_437)))]]) ).
cnf(refute_1_969,plain,
( complement(meet(top,complement(meet(X_437,top)))) != join(zero,meet(top,X_437))
| meet(meet(top,X_437),complement(meet(top,complement(meet(X_437,top))))) = meet(meet(top,X_437),join(zero,meet(top,X_437))) ),
inference(resolve,[$cnf( $equal(meet(meet(top,X_437),complement(meet(top,complement(meet(X_437,top))))),meet(meet(top,X_437),complement(meet(top,complement(meet(X_437,top)))))) )],[refute_1_967,refute_1_968]) ).
cnf(refute_1_970,plain,
meet(meet(top,X_437),complement(meet(top,complement(meet(X_437,top))))) = meet(meet(top,X_437),join(zero,meet(top,X_437))),
inference(resolve,[$cnf( $equal(complement(meet(top,complement(meet(X_437,top)))),join(zero,meet(top,X_437))) )],[refute_1_966,refute_1_969]) ).
cnf(refute_1_971,plain,
join(zero,meet(meet(top,X_437),complement(meet(top,complement(meet(X_437,top)))))) = join(zero,meet(meet(top,X_437),complement(meet(top,complement(meet(X_437,top)))))),
introduced(tautology,[refl,[$fot(join(zero,meet(meet(top,X_437),complement(meet(top,complement(meet(X_437,top)))))))]]) ).
cnf(refute_1_972,plain,
( join(zero,meet(meet(top,X_437),complement(meet(top,complement(meet(X_437,top)))))) != join(zero,meet(meet(top,X_437),complement(meet(top,complement(meet(X_437,top))))))
| meet(meet(top,X_437),complement(meet(top,complement(meet(X_437,top))))) != meet(meet(top,X_437),join(zero,meet(top,X_437)))
| join(zero,meet(meet(top,X_437),complement(meet(top,complement(meet(X_437,top)))))) = join(zero,meet(meet(top,X_437),join(zero,meet(top,X_437)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(meet(top,X_437),complement(meet(top,complement(meet(X_437,top)))))),join(zero,meet(meet(top,X_437),complement(meet(top,complement(meet(X_437,top))))))) ),[1,1],$fot(meet(meet(top,X_437),join(zero,meet(top,X_437))))]]) ).
cnf(refute_1_973,plain,
( meet(meet(top,X_437),complement(meet(top,complement(meet(X_437,top))))) != meet(meet(top,X_437),join(zero,meet(top,X_437)))
| join(zero,meet(meet(top,X_437),complement(meet(top,complement(meet(X_437,top)))))) = join(zero,meet(meet(top,X_437),join(zero,meet(top,X_437)))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(meet(top,X_437),complement(meet(top,complement(meet(X_437,top)))))),join(zero,meet(meet(top,X_437),complement(meet(top,complement(meet(X_437,top))))))) )],[refute_1_971,refute_1_972]) ).
cnf(refute_1_974,plain,
join(zero,meet(meet(top,X_437),complement(meet(top,complement(meet(X_437,top)))))) = join(zero,meet(meet(top,X_437),join(zero,meet(top,X_437)))),
inference(resolve,[$cnf( $equal(meet(meet(top,X_437),complement(meet(top,complement(meet(X_437,top))))),meet(meet(top,X_437),join(zero,meet(top,X_437)))) )],[refute_1_970,refute_1_973]) ).
cnf(refute_1_975,plain,
( join(zero,meet(meet(top,X_437),complement(meet(top,complement(meet(X_437,top)))))) != join(zero,meet(meet(top,X_437),join(zero,meet(top,X_437))))
| meet(top,X_437) != join(zero,meet(meet(top,X_437),complement(meet(top,complement(meet(X_437,top))))))
| meet(top,X_437) = join(zero,meet(meet(top,X_437),join(zero,meet(top,X_437)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,X_437),join(zero,meet(meet(top,X_437),complement(meet(top,complement(meet(X_437,top))))))) ),[1],$fot(join(zero,meet(meet(top,X_437),join(zero,meet(top,X_437)))))]]) ).
cnf(refute_1_976,plain,
( meet(top,X_437) != join(zero,meet(meet(top,X_437),complement(meet(top,complement(meet(X_437,top))))))
| meet(top,X_437) = join(zero,meet(meet(top,X_437),join(zero,meet(top,X_437)))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(meet(top,X_437),complement(meet(top,complement(meet(X_437,top)))))),join(zero,meet(meet(top,X_437),join(zero,meet(top,X_437))))) )],[refute_1_974,refute_1_975]) ).
cnf(refute_1_977,plain,
meet(top,X_437) = join(zero,meet(meet(top,X_437),join(zero,meet(top,X_437)))),
inference(resolve,[$cnf( $equal(meet(top,X_437),join(zero,meet(meet(top,X_437),complement(meet(top,complement(meet(X_437,top))))))) )],[refute_1_916,refute_1_976]) ).
cnf(refute_1_978,plain,
X_417 = join(meet(meet(top,X_417),X_417),complement(join(complement(X_417),meet(top,X_417)))),
inference(subst,[],[refute_1_280:[bind(X_418,$fot(meet(top,X_417)))]]) ).
cnf(refute_1_979,plain,
join(complement(X_417),meet(top,X_417)) = top,
inference(subst,[],[refute_1_690:[bind(X_450,$fot(X_417))]]) ).
cnf(refute_1_980,plain,
( X_417 != join(meet(meet(top,X_417),X_417),complement(join(complement(X_417),meet(top,X_417))))
| join(complement(X_417),meet(top,X_417)) != top
| X_417 = join(meet(meet(top,X_417),X_417),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(X_417,join(meet(meet(top,X_417),X_417),complement(join(complement(X_417),meet(top,X_417))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_1_981,plain,
( X_417 != join(meet(meet(top,X_417),X_417),complement(join(complement(X_417),meet(top,X_417))))
| X_417 = join(meet(meet(top,X_417),X_417),complement(top)) ),
inference(resolve,[$cnf( $equal(join(complement(X_417),meet(top,X_417)),top) )],[refute_1_979,refute_1_980]) ).
cnf(refute_1_982,plain,
X_417 = join(meet(meet(top,X_417),X_417),complement(top)),
inference(resolve,[$cnf( $equal(X_417,join(meet(meet(top,X_417),X_417),complement(join(complement(X_417),meet(top,X_417))))) )],[refute_1_978,refute_1_981]) ).
cnf(refute_1_983,plain,
meet(meet(top,X_417),X_417) = meet(X_417,meet(top,X_417)),
inference(subst,[],[refute_1_307:[bind(X_406,$fot(X_417)),bind(X_407,$fot(meet(top,X_417)))]]) ).
cnf(refute_1_984,plain,
join(zero,meet(meet(top,X_417),X_417)) = join(zero,meet(meet(top,X_417),X_417)),
introduced(tautology,[refl,[$fot(join(zero,meet(meet(top,X_417),X_417)))]]) ).
cnf(refute_1_985,plain,
( join(zero,meet(meet(top,X_417),X_417)) != join(zero,meet(meet(top,X_417),X_417))
| meet(meet(top,X_417),X_417) != meet(X_417,meet(top,X_417))
| join(zero,meet(meet(top,X_417),X_417)) = join(zero,meet(X_417,meet(top,X_417))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(meet(top,X_417),X_417)),join(zero,meet(meet(top,X_417),X_417))) ),[1,1],$fot(meet(X_417,meet(top,X_417)))]]) ).
cnf(refute_1_986,plain,
( meet(meet(top,X_417),X_417) != meet(X_417,meet(top,X_417))
| join(zero,meet(meet(top,X_417),X_417)) = join(zero,meet(X_417,meet(top,X_417))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(meet(top,X_417),X_417)),join(zero,meet(meet(top,X_417),X_417))) )],[refute_1_984,refute_1_985]) ).
cnf(refute_1_987,plain,
join(zero,meet(meet(top,X_417),X_417)) = join(zero,meet(X_417,meet(top,X_417))),
inference(resolve,[$cnf( $equal(meet(meet(top,X_417),X_417),meet(X_417,meet(top,X_417))) )],[refute_1_983,refute_1_986]) ).
cnf(refute_1_988,plain,
join(complement(top),meet(meet(top,X_417),X_417)) = join(complement(top),meet(meet(top,X_417),X_417)),
introduced(tautology,[refl,[$fot(join(complement(top),meet(meet(top,X_417),X_417)))]]) ).
cnf(refute_1_989,plain,
( complement(top) != zero
| join(complement(top),meet(meet(top,X_417),X_417)) != join(complement(top),meet(meet(top,X_417),X_417))
| join(complement(top),meet(meet(top,X_417),X_417)) = join(zero,meet(meet(top,X_417),X_417)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(meet(top,X_417),X_417)),join(complement(top),meet(meet(top,X_417),X_417))) ),[1,0],$fot(zero)]]) ).
cnf(refute_1_990,plain,
( complement(top) != zero
| join(complement(top),meet(meet(top,X_417),X_417)) = join(zero,meet(meet(top,X_417),X_417)) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(meet(top,X_417),X_417)),join(complement(top),meet(meet(top,X_417),X_417))) )],[refute_1_988,refute_1_989]) ).
cnf(refute_1_991,plain,
join(complement(top),meet(meet(top,X_417),X_417)) = join(zero,meet(meet(top,X_417),X_417)),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_1_90,refute_1_990]) ).
cnf(refute_1_992,plain,
( join(complement(top),meet(meet(top,X_417),X_417)) != join(zero,meet(meet(top,X_417),X_417))
| join(zero,meet(meet(top,X_417),X_417)) != join(zero,meet(X_417,meet(top,X_417)))
| join(complement(top),meet(meet(top,X_417),X_417)) = join(zero,meet(X_417,meet(top,X_417))) ),
inference(subst,[],[refute_1_52:[bind(X,$fot(join(complement(top),meet(meet(top,X_417),X_417)))),bind(Y,$fot(join(zero,meet(meet(top,X_417),X_417)))),bind(Z,$fot(join(zero,meet(X_417,meet(top,X_417)))))]]) ).
cnf(refute_1_993,plain,
( join(zero,meet(meet(top,X_417),X_417)) != join(zero,meet(X_417,meet(top,X_417)))
| join(complement(top),meet(meet(top,X_417),X_417)) = join(zero,meet(X_417,meet(top,X_417))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(meet(top,X_417),X_417)),join(zero,meet(meet(top,X_417),X_417))) )],[refute_1_991,refute_1_992]) ).
cnf(refute_1_994,plain,
join(complement(top),meet(meet(top,X_417),X_417)) = join(zero,meet(X_417,meet(top,X_417))),
inference(resolve,[$cnf( $equal(join(zero,meet(meet(top,X_417),X_417)),join(zero,meet(X_417,meet(top,X_417)))) )],[refute_1_987,refute_1_993]) ).
cnf(refute_1_995,plain,
join(meet(meet(top,X_417),X_417),complement(top)) = join(complement(top),meet(meet(top,X_417),X_417)),
inference(subst,[],[refute_1_7:[bind(X0,$fot(complement(top))),bind(X1,$fot(meet(meet(top,X_417),X_417)))]]) ).
cnf(refute_1_996,plain,
( join(complement(top),meet(meet(top,X_417),X_417)) != join(zero,meet(X_417,meet(top,X_417)))
| join(meet(meet(top,X_417),X_417),complement(top)) != join(complement(top),meet(meet(top,X_417),X_417))
| join(meet(meet(top,X_417),X_417),complement(top)) = join(zero,meet(X_417,meet(top,X_417))) ),
inference(subst,[],[refute_1_52:[bind(X,$fot(join(meet(meet(top,X_417),X_417),complement(top)))),bind(Y,$fot(join(complement(top),meet(meet(top,X_417),X_417)))),bind(Z,$fot(join(zero,meet(X_417,meet(top,X_417)))))]]) ).
cnf(refute_1_997,plain,
( join(complement(top),meet(meet(top,X_417),X_417)) != join(zero,meet(X_417,meet(top,X_417)))
| join(meet(meet(top,X_417),X_417),complement(top)) = join(zero,meet(X_417,meet(top,X_417))) ),
inference(resolve,[$cnf( $equal(join(meet(meet(top,X_417),X_417),complement(top)),join(complement(top),meet(meet(top,X_417),X_417))) )],[refute_1_995,refute_1_996]) ).
cnf(refute_1_998,plain,
join(meet(meet(top,X_417),X_417),complement(top)) = join(zero,meet(X_417,meet(top,X_417))),
inference(resolve,[$cnf( $equal(join(complement(top),meet(meet(top,X_417),X_417)),join(zero,meet(X_417,meet(top,X_417)))) )],[refute_1_994,refute_1_997]) ).
cnf(refute_1_999,plain,
( X_417 != join(meet(meet(top,X_417),X_417),complement(top))
| join(meet(meet(top,X_417),X_417),complement(top)) != join(zero,meet(X_417,meet(top,X_417)))
| X_417 = join(zero,meet(X_417,meet(top,X_417))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_417,join(zero,meet(X_417,meet(top,X_417)))) ),[0],$fot(join(meet(meet(top,X_417),X_417),complement(top)))]]) ).
cnf(refute_1_1000,plain,
( X_417 != join(meet(meet(top,X_417),X_417),complement(top))
| X_417 = join(zero,meet(X_417,meet(top,X_417))) ),
inference(resolve,[$cnf( $equal(join(meet(meet(top,X_417),X_417),complement(top)),join(zero,meet(X_417,meet(top,X_417)))) )],[refute_1_998,refute_1_999]) ).
cnf(refute_1_1001,plain,
X_417 = join(zero,meet(X_417,meet(top,X_417))),
inference(resolve,[$cnf( $equal(X_417,join(meet(meet(top,X_417),X_417),complement(top))) )],[refute_1_982,refute_1_1000]) ).
cnf(refute_1_1002,plain,
( X_417 != join(zero,meet(X_417,meet(top,X_417)))
| join(zero,meet(X_417,meet(top,X_417))) = X_417 ),
inference(subst,[],[refute_1_5:[bind(X,$fot(X_417)),bind(Y,$fot(join(zero,meet(X_417,meet(top,X_417)))))]]) ).
cnf(refute_1_1003,plain,
join(zero,meet(X_417,meet(top,X_417))) = X_417,
inference(resolve,[$cnf( $equal(X_417,join(zero,meet(X_417,meet(top,X_417)))) )],[refute_1_1001,refute_1_1002]) ).
cnf(refute_1_1004,plain,
join(zero,meet(X_437,meet(top,X_437))) = X_437,
inference(subst,[],[refute_1_1003:[bind(X_417,$fot(X_437))]]) ).
cnf(refute_1_1005,plain,
meet(meet(top,X_437),X_437) = meet(X_437,meet(top,X_437)),
inference(subst,[],[refute_1_307:[bind(X_406,$fot(X_437)),bind(X_407,$fot(meet(top,X_437)))]]) ).
cnf(refute_1_1006,plain,
( X_417 != join(zero,meet(top,X_417))
| join(zero,meet(top,X_417)) = X_417 ),
inference(subst,[],[refute_1_5:[bind(X,$fot(X_417)),bind(Y,$fot(join(zero,meet(top,X_417))))]]) ).
cnf(refute_1_1007,plain,
join(zero,meet(top,X_417)) = X_417,
inference(resolve,[$cnf( $equal(X_417,join(zero,meet(top,X_417))) )],[refute_1_869,refute_1_1006]) ).
cnf(refute_1_1008,plain,
join(zero,meet(top,X_437)) = X_437,
inference(subst,[],[refute_1_1007:[bind(X_417,$fot(X_437))]]) ).
cnf(refute_1_1009,plain,
meet(meet(top,X_437),join(zero,meet(top,X_437))) = meet(meet(top,X_437),join(zero,meet(top,X_437))),
introduced(tautology,[refl,[$fot(meet(meet(top,X_437),join(zero,meet(top,X_437))))]]) ).
cnf(refute_1_1010,plain,
( join(zero,meet(top,X_437)) != X_437
| meet(meet(top,X_437),join(zero,meet(top,X_437))) != meet(meet(top,X_437),join(zero,meet(top,X_437)))
| meet(meet(top,X_437),join(zero,meet(top,X_437))) = meet(meet(top,X_437),X_437) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(top,X_437),join(zero,meet(top,X_437))),meet(meet(top,X_437),join(zero,meet(top,X_437)))) ),[1,1],$fot(X_437)]]) ).
cnf(refute_1_1011,plain,
( join(zero,meet(top,X_437)) != X_437
| meet(meet(top,X_437),join(zero,meet(top,X_437))) = meet(meet(top,X_437),X_437) ),
inference(resolve,[$cnf( $equal(meet(meet(top,X_437),join(zero,meet(top,X_437))),meet(meet(top,X_437),join(zero,meet(top,X_437)))) )],[refute_1_1009,refute_1_1010]) ).
cnf(refute_1_1012,plain,
meet(meet(top,X_437),join(zero,meet(top,X_437))) = meet(meet(top,X_437),X_437),
inference(resolve,[$cnf( $equal(join(zero,meet(top,X_437)),X_437) )],[refute_1_1008,refute_1_1011]) ).
cnf(refute_1_1013,plain,
( meet(meet(top,X_437),X_437) != meet(X_437,meet(top,X_437))
| meet(meet(top,X_437),join(zero,meet(top,X_437))) != meet(meet(top,X_437),X_437)
| meet(meet(top,X_437),join(zero,meet(top,X_437))) = meet(X_437,meet(top,X_437)) ),
inference(subst,[],[refute_1_52:[bind(X,$fot(meet(meet(top,X_437),join(zero,meet(top,X_437))))),bind(Y,$fot(meet(meet(top,X_437),X_437))),bind(Z,$fot(meet(X_437,meet(top,X_437))))]]) ).
cnf(refute_1_1014,plain,
( meet(meet(top,X_437),X_437) != meet(X_437,meet(top,X_437))
| meet(meet(top,X_437),join(zero,meet(top,X_437))) = meet(X_437,meet(top,X_437)) ),
inference(resolve,[$cnf( $equal(meet(meet(top,X_437),join(zero,meet(top,X_437))),meet(meet(top,X_437),X_437)) )],[refute_1_1012,refute_1_1013]) ).
cnf(refute_1_1015,plain,
meet(meet(top,X_437),join(zero,meet(top,X_437))) = meet(X_437,meet(top,X_437)),
inference(resolve,[$cnf( $equal(meet(meet(top,X_437),X_437),meet(X_437,meet(top,X_437))) )],[refute_1_1005,refute_1_1014]) ).
cnf(refute_1_1016,plain,
join(zero,meet(meet(top,X_437),join(zero,meet(top,X_437)))) = join(zero,meet(meet(top,X_437),join(zero,meet(top,X_437)))),
introduced(tautology,[refl,[$fot(join(zero,meet(meet(top,X_437),join(zero,meet(top,X_437)))))]]) ).
cnf(refute_1_1017,plain,
( join(zero,meet(meet(top,X_437),join(zero,meet(top,X_437)))) != join(zero,meet(meet(top,X_437),join(zero,meet(top,X_437))))
| meet(meet(top,X_437),join(zero,meet(top,X_437))) != meet(X_437,meet(top,X_437))
| join(zero,meet(meet(top,X_437),join(zero,meet(top,X_437)))) = join(zero,meet(X_437,meet(top,X_437))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(meet(top,X_437),join(zero,meet(top,X_437)))),join(zero,meet(meet(top,X_437),join(zero,meet(top,X_437))))) ),[1,1],$fot(meet(X_437,meet(top,X_437)))]]) ).
cnf(refute_1_1018,plain,
( meet(meet(top,X_437),join(zero,meet(top,X_437))) != meet(X_437,meet(top,X_437))
| join(zero,meet(meet(top,X_437),join(zero,meet(top,X_437)))) = join(zero,meet(X_437,meet(top,X_437))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(meet(top,X_437),join(zero,meet(top,X_437)))),join(zero,meet(meet(top,X_437),join(zero,meet(top,X_437))))) )],[refute_1_1016,refute_1_1017]) ).
cnf(refute_1_1019,plain,
join(zero,meet(meet(top,X_437),join(zero,meet(top,X_437)))) = join(zero,meet(X_437,meet(top,X_437))),
inference(resolve,[$cnf( $equal(meet(meet(top,X_437),join(zero,meet(top,X_437))),meet(X_437,meet(top,X_437))) )],[refute_1_1015,refute_1_1018]) ).
cnf(refute_1_1020,plain,
( join(zero,meet(X_437,meet(top,X_437))) != X_437
| join(zero,meet(meet(top,X_437),join(zero,meet(top,X_437)))) != join(zero,meet(X_437,meet(top,X_437)))
| join(zero,meet(meet(top,X_437),join(zero,meet(top,X_437)))) = X_437 ),
inference(subst,[],[refute_1_52:[bind(X,$fot(join(zero,meet(meet(top,X_437),join(zero,meet(top,X_437)))))),bind(Y,$fot(join(zero,meet(X_437,meet(top,X_437))))),bind(Z,$fot(X_437))]]) ).
cnf(refute_1_1021,plain,
( join(zero,meet(X_437,meet(top,X_437))) != X_437
| join(zero,meet(meet(top,X_437),join(zero,meet(top,X_437)))) = X_437 ),
inference(resolve,[$cnf( $equal(join(zero,meet(meet(top,X_437),join(zero,meet(top,X_437)))),join(zero,meet(X_437,meet(top,X_437)))) )],[refute_1_1019,refute_1_1020]) ).
cnf(refute_1_1022,plain,
join(zero,meet(meet(top,X_437),join(zero,meet(top,X_437)))) = X_437,
inference(resolve,[$cnf( $equal(join(zero,meet(X_437,meet(top,X_437))),X_437) )],[refute_1_1004,refute_1_1021]) ).
cnf(refute_1_1023,plain,
( join(zero,meet(meet(top,X_437),join(zero,meet(top,X_437)))) != X_437
| meet(top,X_437) != join(zero,meet(meet(top,X_437),join(zero,meet(top,X_437))))
| meet(top,X_437) = X_437 ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,X_437),join(zero,meet(meet(top,X_437),join(zero,meet(top,X_437))))) ),[1],$fot(X_437)]]) ).
cnf(refute_1_1024,plain,
( meet(top,X_437) != join(zero,meet(meet(top,X_437),join(zero,meet(top,X_437))))
| meet(top,X_437) = X_437 ),
inference(resolve,[$cnf( $equal(join(zero,meet(meet(top,X_437),join(zero,meet(top,X_437)))),X_437) )],[refute_1_1022,refute_1_1023]) ).
cnf(refute_1_1025,plain,
meet(top,X_437) = X_437,
inference(resolve,[$cnf( $equal(meet(top,X_437),join(zero,meet(meet(top,X_437),join(zero,meet(top,X_437))))) )],[refute_1_977,refute_1_1024]) ).
cnf(refute_1_1026,plain,
meet(top,X_417) = X_417,
inference(subst,[],[refute_1_1025:[bind(X_437,$fot(X_417))]]) ).
cnf(refute_1_1027,plain,
join(zero,meet(top,X_417)) = join(zero,meet(top,X_417)),
introduced(tautology,[refl,[$fot(join(zero,meet(top,X_417)))]]) ).
cnf(refute_1_1028,plain,
( join(zero,meet(top,X_417)) != join(zero,meet(top,X_417))
| meet(top,X_417) != X_417
| join(zero,meet(top,X_417)) = join(zero,X_417) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(top,X_417)),join(zero,meet(top,X_417))) ),[1,1],$fot(X_417)]]) ).
cnf(refute_1_1029,plain,
( meet(top,X_417) != X_417
| join(zero,meet(top,X_417)) = join(zero,X_417) ),
inference(resolve,[$cnf( $equal(join(zero,meet(top,X_417)),join(zero,meet(top,X_417))) )],[refute_1_1027,refute_1_1028]) ).
cnf(refute_1_1030,plain,
join(zero,meet(top,X_417)) = join(zero,X_417),
inference(resolve,[$cnf( $equal(meet(top,X_417),X_417) )],[refute_1_1026,refute_1_1029]) ).
cnf(refute_1_1031,plain,
( X_417 != join(zero,meet(top,X_417))
| join(zero,meet(top,X_417)) != join(zero,X_417)
| X_417 = join(zero,X_417) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_417,join(zero,X_417)) ),[0],$fot(join(zero,meet(top,X_417)))]]) ).
cnf(refute_1_1032,plain,
( X_417 != join(zero,meet(top,X_417))
| X_417 = join(zero,X_417) ),
inference(resolve,[$cnf( $equal(join(zero,meet(top,X_417)),join(zero,X_417)) )],[refute_1_1030,refute_1_1031]) ).
cnf(refute_1_1033,plain,
X_417 = join(zero,X_417),
inference(resolve,[$cnf( $equal(X_417,join(zero,meet(top,X_417))) )],[refute_1_869,refute_1_1032]) ).
cnf(refute_1_1034,plain,
( X_417 != join(zero,X_417)
| join(zero,X_417) = X_417 ),
inference(subst,[],[refute_1_5:[bind(X,$fot(X_417)),bind(Y,$fot(join(zero,X_417)))]]) ).
cnf(refute_1_1035,plain,
join(zero,X_417) = X_417,
inference(resolve,[$cnf( $equal(X_417,join(zero,X_417)) )],[refute_1_1033,refute_1_1034]) ).
cnf(refute_1_1036,plain,
join(zero,composition(converse(X_473),complement(composition(X_473,top)))) = composition(converse(X_473),complement(composition(X_473,top))),
inference(subst,[],[refute_1_1035:[bind(X_417,$fot(composition(converse(X_473),complement(composition(X_473,top)))))]]) ).
cnf(refute_1_1037,plain,
( join(zero,composition(converse(X_473),complement(composition(X_473,top)))) != composition(converse(X_473),complement(composition(X_473,top)))
| join(zero,composition(converse(X_473),complement(composition(X_473,top)))) != zero
| composition(converse(X_473),complement(composition(X_473,top))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,composition(converse(X_473),complement(composition(X_473,top)))),zero) ),[0],$fot(composition(converse(X_473),complement(composition(X_473,top))))]]) ).
cnf(refute_1_1038,plain,
( join(zero,composition(converse(X_473),complement(composition(X_473,top)))) != zero
| composition(converse(X_473),complement(composition(X_473,top))) = zero ),
inference(resolve,[$cnf( $equal(join(zero,composition(converse(X_473),complement(composition(X_473,top)))),composition(converse(X_473),complement(composition(X_473,top)))) )],[refute_1_1036,refute_1_1037]) ).
cnf(refute_1_1039,plain,
composition(converse(X_473),complement(composition(X_473,top))) = zero,
inference(resolve,[$cnf( $equal(join(zero,composition(converse(X_473),complement(composition(X_473,top)))),zero) )],[refute_1_96,refute_1_1038]) ).
cnf(refute_1_1040,plain,
composition(converse(converse(X0)),complement(composition(converse(X0),top))) = zero,
inference(subst,[],[refute_1_1039:[bind(X_473,$fot(converse(X0)))]]) ).
cnf(refute_1_1041,plain,
( composition(converse(converse(X0)),complement(composition(converse(X0),top))) != zero
| converse(converse(X0)) != X0
| composition(X0,complement(composition(converse(X0),top))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(converse(X0)),complement(composition(converse(X0),top))),zero) ),[0,0],$fot(X0)]]) ).
cnf(refute_1_1042,plain,
( composition(converse(converse(X0)),complement(composition(converse(X0),top))) != zero
| composition(X0,complement(composition(converse(X0),top))) = zero ),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_1_19,refute_1_1041]) ).
cnf(refute_1_1043,plain,
composition(X0,complement(composition(converse(X0),top))) = zero,
inference(resolve,[$cnf( $equal(composition(converse(converse(X0)),complement(composition(converse(X0),top))),zero) )],[refute_1_1040,refute_1_1042]) ).
cnf(refute_1_1044,plain,
converse(composition(converse(top),X_390)) = composition(converse(X_390),top),
inference(subst,[],[refute_1_36:[bind(X0,$fot(top))]]) ).
cnf(refute_1_1045,plain,
converse(top) = join(meet(converse(top),meet(zero,converse(complement(converse(top))))),complement(join(complement(converse(top)),meet(zero,converse(complement(converse(top))))))),
inference(subst,[],[refute_1_114:[bind(X0,$fot(converse(top))),bind(X1,$fot(meet(zero,converse(complement(converse(top))))))]]) ).
cnf(refute_1_1046,plain,
X_417 = join(meet(X_417,converse(complement(converse(complement(X_417))))),complement(join(complement(X_417),converse(complement(converse(complement(X_417))))))),
inference(subst,[],[refute_1_114:[bind(X0,$fot(X_417)),bind(X1,$fot(converse(complement(converse(complement(X_417))))))]]) ).
cnf(refute_1_1047,plain,
converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(canonicalize,[],[normalize_1_26]) ).
cnf(refute_1_1048,plain,
converse(join(converse(X0),X_394)) = join(converse(converse(X0)),converse(X_394)),
inference(subst,[],[refute_1_1047:[bind(X0,$fot(converse(X0))),bind(X1,$fot(X_394))]]) ).
cnf(refute_1_1049,plain,
( converse(converse(X0)) != X0
| converse(join(converse(X0),X_394)) != join(converse(converse(X0)),converse(X_394))
| converse(join(converse(X0),X_394)) = join(X0,converse(X_394)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X0),X_394)),join(converse(converse(X0)),converse(X_394))) ),[1,0],$fot(X0)]]) ).
cnf(refute_1_1050,plain,
( converse(join(converse(X0),X_394)) != join(converse(converse(X0)),converse(X_394))
| converse(join(converse(X0),X_394)) = join(X0,converse(X_394)) ),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_1_19,refute_1_1049]) ).
cnf(refute_1_1051,plain,
converse(join(converse(X0),X_394)) = join(X0,converse(X_394)),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),X_394)),join(converse(converse(X0)),converse(X_394))) )],[refute_1_1048,refute_1_1050]) ).
cnf(refute_1_1052,plain,
converse(join(converse(X_397),complement(converse(X_397)))) = join(X_397,converse(complement(converse(X_397)))),
inference(subst,[],[refute_1_1051:[bind(X0,$fot(X_397)),bind(X_394,$fot(complement(converse(X_397))))]]) ).
cnf(refute_1_1053,plain,
top = join(converse(X_397),complement(converse(X_397))),
inference(subst,[],[refute_1_70:[bind(X0,$fot(converse(X_397)))]]) ).
cnf(refute_1_1054,plain,
( top != join(converse(X_397),complement(converse(X_397)))
| join(converse(X_397),complement(converse(X_397))) = top ),
inference(subst,[],[refute_1_5:[bind(X,$fot(top)),bind(Y,$fot(join(converse(X_397),complement(converse(X_397)))))]]) ).
cnf(refute_1_1055,plain,
join(converse(X_397),complement(converse(X_397))) = top,
inference(resolve,[$cnf( $equal(top,join(converse(X_397),complement(converse(X_397)))) )],[refute_1_1053,refute_1_1054]) ).
cnf(refute_1_1056,plain,
( converse(join(converse(X_397),complement(converse(X_397)))) != join(X_397,converse(complement(converse(X_397))))
| join(converse(X_397),complement(converse(X_397))) != top
| converse(top) = join(X_397,converse(complement(converse(X_397)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X_397),complement(converse(X_397)))),join(X_397,converse(complement(converse(X_397))))) ),[0,0],$fot(top)]]) ).
cnf(refute_1_1057,plain,
( converse(join(converse(X_397),complement(converse(X_397)))) != join(X_397,converse(complement(converse(X_397))))
| converse(top) = join(X_397,converse(complement(converse(X_397)))) ),
inference(resolve,[$cnf( $equal(join(converse(X_397),complement(converse(X_397))),top) )],[refute_1_1055,refute_1_1056]) ).
cnf(refute_1_1058,plain,
converse(top) = join(X_397,converse(complement(converse(X_397)))),
inference(resolve,[$cnf( $equal(converse(join(converse(X_397),complement(converse(X_397)))),join(X_397,converse(complement(converse(X_397))))) )],[refute_1_1052,refute_1_1057]) ).
cnf(refute_1_1059,plain,
converse(top) = join(complement(X_417),converse(complement(converse(complement(X_417))))),
inference(subst,[],[refute_1_1058:[bind(X_397,$fot(complement(X_417)))]]) ).
cnf(refute_1_1060,plain,
( converse(top) != join(complement(X_417),converse(complement(converse(complement(X_417)))))
| join(complement(X_417),converse(complement(converse(complement(X_417))))) = converse(top) ),
inference(subst,[],[refute_1_5:[bind(X,$fot(converse(top))),bind(Y,$fot(join(complement(X_417),converse(complement(converse(complement(X_417)))))))]]) ).
cnf(refute_1_1061,plain,
join(complement(X_417),converse(complement(converse(complement(X_417))))) = converse(top),
inference(resolve,[$cnf( $equal(converse(top),join(complement(X_417),converse(complement(converse(complement(X_417)))))) )],[refute_1_1059,refute_1_1060]) ).
cnf(refute_1_1062,plain,
( X_417 != join(meet(X_417,converse(complement(converse(complement(X_417))))),complement(join(complement(X_417),converse(complement(converse(complement(X_417)))))))
| join(complement(X_417),converse(complement(converse(complement(X_417))))) != converse(top)
| X_417 = join(meet(X_417,converse(complement(converse(complement(X_417))))),complement(converse(top))) ),
introduced(tautology,[equality,[$cnf( $equal(X_417,join(meet(X_417,converse(complement(converse(complement(X_417))))),complement(join(complement(X_417),converse(complement(converse(complement(X_417)))))))) ),[1,1,0],$fot(converse(top))]]) ).
cnf(refute_1_1063,plain,
( X_417 != join(meet(X_417,converse(complement(converse(complement(X_417))))),complement(join(complement(X_417),converse(complement(converse(complement(X_417)))))))
| X_417 = join(meet(X_417,converse(complement(converse(complement(X_417))))),complement(converse(top))) ),
inference(resolve,[$cnf( $equal(join(complement(X_417),converse(complement(converse(complement(X_417))))),converse(top)) )],[refute_1_1061,refute_1_1062]) ).
cnf(refute_1_1064,plain,
X_417 = join(meet(X_417,converse(complement(converse(complement(X_417))))),complement(converse(top))),
inference(resolve,[$cnf( $equal(X_417,join(meet(X_417,converse(complement(converse(complement(X_417))))),complement(join(complement(X_417),converse(complement(converse(complement(X_417)))))))) )],[refute_1_1046,refute_1_1063]) ).
cnf(refute_1_1065,plain,
join(meet(X_417,converse(complement(converse(complement(X_417))))),complement(converse(top))) = join(complement(converse(top)),meet(X_417,converse(complement(converse(complement(X_417)))))),
inference(subst,[],[refute_1_7:[bind(X0,$fot(complement(converse(top)))),bind(X1,$fot(meet(X_417,converse(complement(converse(complement(X_417)))))))]]) ).
cnf(refute_1_1066,plain,
( X_417 != join(meet(X_417,converse(complement(converse(complement(X_417))))),complement(converse(top)))
| join(meet(X_417,converse(complement(converse(complement(X_417))))),complement(converse(top))) != join(complement(converse(top)),meet(X_417,converse(complement(converse(complement(X_417))))))
| X_417 = join(complement(converse(top)),meet(X_417,converse(complement(converse(complement(X_417)))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_417,join(complement(converse(top)),meet(X_417,converse(complement(converse(complement(X_417))))))) ),[0],$fot(join(meet(X_417,converse(complement(converse(complement(X_417))))),complement(converse(top))))]]) ).
cnf(refute_1_1067,plain,
( X_417 != join(meet(X_417,converse(complement(converse(complement(X_417))))),complement(converse(top)))
| X_417 = join(complement(converse(top)),meet(X_417,converse(complement(converse(complement(X_417)))))) ),
inference(resolve,[$cnf( $equal(join(meet(X_417,converse(complement(converse(complement(X_417))))),complement(converse(top))),join(complement(converse(top)),meet(X_417,converse(complement(converse(complement(X_417))))))) )],[refute_1_1065,refute_1_1066]) ).
cnf(refute_1_1068,plain,
X_417 = join(complement(converse(top)),meet(X_417,converse(complement(converse(complement(X_417)))))),
inference(resolve,[$cnf( $equal(X_417,join(meet(X_417,converse(complement(converse(complement(X_417))))),complement(converse(top)))) )],[refute_1_1064,refute_1_1067]) ).
cnf(refute_1_1069,plain,
zero = join(complement(converse(top)),meet(zero,converse(complement(converse(complement(zero)))))),
inference(subst,[],[refute_1_1068:[bind(X_417,$fot(zero))]]) ).
cnf(refute_1_1070,plain,
( complement(zero) != top
| zero != join(complement(converse(top)),meet(zero,converse(complement(converse(complement(zero))))))
| zero = join(complement(converse(top)),meet(zero,converse(complement(converse(top))))) ),
introduced(tautology,[equality,[$cnf( $equal(zero,join(complement(converse(top)),meet(zero,converse(complement(converse(complement(zero))))))) ),[1,1,1,0,0,0],$fot(top)]]) ).
cnf(refute_1_1071,plain,
( zero != join(complement(converse(top)),meet(zero,converse(complement(converse(complement(zero))))))
| zero = join(complement(converse(top)),meet(zero,converse(complement(converse(top))))) ),
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_1_259,refute_1_1070]) ).
cnf(refute_1_1072,plain,
zero = join(complement(converse(top)),meet(zero,converse(complement(converse(top))))),
inference(resolve,[$cnf( $equal(zero,join(complement(converse(top)),meet(zero,converse(complement(converse(complement(zero))))))) )],[refute_1_1069,refute_1_1071]) ).
cnf(refute_1_1073,plain,
( zero != join(complement(converse(top)),meet(zero,converse(complement(converse(top)))))
| join(complement(converse(top)),meet(zero,converse(complement(converse(top))))) = zero ),
inference(subst,[],[refute_1_5:[bind(X,$fot(zero)),bind(Y,$fot(join(complement(converse(top)),meet(zero,converse(complement(converse(top)))))))]]) ).
cnf(refute_1_1074,plain,
join(complement(converse(top)),meet(zero,converse(complement(converse(top))))) = zero,
inference(resolve,[$cnf( $equal(zero,join(complement(converse(top)),meet(zero,converse(complement(converse(top)))))) )],[refute_1_1072,refute_1_1073]) ).
cnf(refute_1_1075,plain,
( converse(top) != join(meet(converse(top),meet(zero,converse(complement(converse(top))))),complement(join(complement(converse(top)),meet(zero,converse(complement(converse(top)))))))
| join(complement(converse(top)),meet(zero,converse(complement(converse(top))))) != zero
| converse(top) = join(meet(converse(top),meet(zero,converse(complement(converse(top))))),complement(zero)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(top),join(meet(converse(top),meet(zero,converse(complement(converse(top))))),complement(join(complement(converse(top)),meet(zero,converse(complement(converse(top)))))))) ),[1,1,0],$fot(zero)]]) ).
cnf(refute_1_1076,plain,
( converse(top) != join(meet(converse(top),meet(zero,converse(complement(converse(top))))),complement(join(complement(converse(top)),meet(zero,converse(complement(converse(top)))))))
| converse(top) = join(meet(converse(top),meet(zero,converse(complement(converse(top))))),complement(zero)) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),meet(zero,converse(complement(converse(top))))),zero) )],[refute_1_1074,refute_1_1075]) ).
cnf(refute_1_1077,plain,
converse(top) = join(meet(converse(top),meet(zero,converse(complement(converse(top))))),complement(zero)),
inference(resolve,[$cnf( $equal(converse(top),join(meet(converse(top),meet(zero,converse(complement(converse(top))))),complement(join(complement(converse(top)),meet(zero,converse(complement(converse(top)))))))) )],[refute_1_1045,refute_1_1076]) ).
cnf(refute_1_1078,plain,
join(complement(zero),meet(converse(top),meet(zero,converse(complement(converse(top)))))) = join(complement(zero),meet(converse(top),meet(zero,converse(complement(converse(top)))))),
introduced(tautology,[refl,[$fot(join(complement(zero),meet(converse(top),meet(zero,converse(complement(converse(top)))))))]]) ).
cnf(refute_1_1079,plain,
( complement(zero) != top
| join(complement(zero),meet(converse(top),meet(zero,converse(complement(converse(top)))))) != join(complement(zero),meet(converse(top),meet(zero,converse(complement(converse(top))))))
| join(complement(zero),meet(converse(top),meet(zero,converse(complement(converse(top)))))) = join(top,meet(converse(top),meet(zero,converse(complement(converse(top)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(zero),meet(converse(top),meet(zero,converse(complement(converse(top)))))),join(complement(zero),meet(converse(top),meet(zero,converse(complement(converse(top))))))) ),[1,0],$fot(top)]]) ).
cnf(refute_1_1080,plain,
( complement(zero) != top
| join(complement(zero),meet(converse(top),meet(zero,converse(complement(converse(top)))))) = join(top,meet(converse(top),meet(zero,converse(complement(converse(top)))))) ),
inference(resolve,[$cnf( $equal(join(complement(zero),meet(converse(top),meet(zero,converse(complement(converse(top)))))),join(complement(zero),meet(converse(top),meet(zero,converse(complement(converse(top))))))) )],[refute_1_1078,refute_1_1079]) ).
cnf(refute_1_1081,plain,
join(complement(zero),meet(converse(top),meet(zero,converse(complement(converse(top)))))) = join(top,meet(converse(top),meet(zero,converse(complement(converse(top)))))),
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_1_259,refute_1_1080]) ).
cnf(refute_1_1082,plain,
join(meet(converse(top),meet(zero,converse(complement(converse(top))))),complement(zero)) = join(complement(zero),meet(converse(top),meet(zero,converse(complement(converse(top)))))),
inference(subst,[],[refute_1_7:[bind(X0,$fot(complement(zero))),bind(X1,$fot(meet(converse(top),meet(zero,converse(complement(converse(top)))))))]]) ).
cnf(refute_1_1083,plain,
( join(complement(zero),meet(converse(top),meet(zero,converse(complement(converse(top)))))) != join(top,meet(converse(top),meet(zero,converse(complement(converse(top))))))
| join(meet(converse(top),meet(zero,converse(complement(converse(top))))),complement(zero)) != join(complement(zero),meet(converse(top),meet(zero,converse(complement(converse(top))))))
| join(meet(converse(top),meet(zero,converse(complement(converse(top))))),complement(zero)) = join(top,meet(converse(top),meet(zero,converse(complement(converse(top)))))) ),
inference(subst,[],[refute_1_52:[bind(X,$fot(join(meet(converse(top),meet(zero,converse(complement(converse(top))))),complement(zero)))),bind(Y,$fot(join(complement(zero),meet(converse(top),meet(zero,converse(complement(converse(top)))))))),bind(Z,$fot(join(top,meet(converse(top),meet(zero,converse(complement(converse(top))))))))]]) ).
cnf(refute_1_1084,plain,
( join(complement(zero),meet(converse(top),meet(zero,converse(complement(converse(top)))))) != join(top,meet(converse(top),meet(zero,converse(complement(converse(top))))))
| join(meet(converse(top),meet(zero,converse(complement(converse(top))))),complement(zero)) = join(top,meet(converse(top),meet(zero,converse(complement(converse(top)))))) ),
inference(resolve,[$cnf( $equal(join(meet(converse(top),meet(zero,converse(complement(converse(top))))),complement(zero)),join(complement(zero),meet(converse(top),meet(zero,converse(complement(converse(top))))))) )],[refute_1_1082,refute_1_1083]) ).
cnf(refute_1_1085,plain,
join(meet(converse(top),meet(zero,converse(complement(converse(top))))),complement(zero)) = join(top,meet(converse(top),meet(zero,converse(complement(converse(top)))))),
inference(resolve,[$cnf( $equal(join(complement(zero),meet(converse(top),meet(zero,converse(complement(converse(top)))))),join(top,meet(converse(top),meet(zero,converse(complement(converse(top))))))) )],[refute_1_1081,refute_1_1084]) ).
cnf(refute_1_1086,plain,
( converse(top) != join(meet(converse(top),meet(zero,converse(complement(converse(top))))),complement(zero))
| join(meet(converse(top),meet(zero,converse(complement(converse(top))))),complement(zero)) != join(top,meet(converse(top),meet(zero,converse(complement(converse(top))))))
| converse(top) = join(top,meet(converse(top),meet(zero,converse(complement(converse(top)))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(top),join(top,meet(converse(top),meet(zero,converse(complement(converse(top))))))) ),[0],$fot(join(meet(converse(top),meet(zero,converse(complement(converse(top))))),complement(zero)))]]) ).
cnf(refute_1_1087,plain,
( converse(top) != join(meet(converse(top),meet(zero,converse(complement(converse(top))))),complement(zero))
| converse(top) = join(top,meet(converse(top),meet(zero,converse(complement(converse(top)))))) ),
inference(resolve,[$cnf( $equal(join(meet(converse(top),meet(zero,converse(complement(converse(top))))),complement(zero)),join(top,meet(converse(top),meet(zero,converse(complement(converse(top))))))) )],[refute_1_1085,refute_1_1086]) ).
cnf(refute_1_1088,plain,
converse(top) = join(top,meet(converse(top),meet(zero,converse(complement(converse(top)))))),
inference(resolve,[$cnf( $equal(converse(top),join(meet(converse(top),meet(zero,converse(complement(converse(top))))),complement(zero))) )],[refute_1_1077,refute_1_1087]) ).
cnf(refute_1_1089,plain,
meet(zero,converse(top)) = zero,
inference(subst,[],[refute_1_858:[bind(X_480,$fot(converse(top)))]]) ).
cnf(refute_1_1090,plain,
meet(converse(top),zero) = meet(zero,converse(top)),
inference(subst,[],[refute_1_307:[bind(X_406,$fot(zero)),bind(X_407,$fot(converse(top)))]]) ).
cnf(refute_1_1091,plain,
( meet(converse(top),zero) != meet(zero,converse(top))
| meet(zero,converse(top)) != zero
| meet(converse(top),zero) = zero ),
inference(subst,[],[refute_1_52:[bind(X,$fot(meet(converse(top),zero))),bind(Y,$fot(meet(zero,converse(top)))),bind(Z,$fot(zero))]]) ).
cnf(refute_1_1092,plain,
( meet(zero,converse(top)) != zero
| meet(converse(top),zero) = zero ),
inference(resolve,[$cnf( $equal(meet(converse(top),zero),meet(zero,converse(top))) )],[refute_1_1090,refute_1_1091]) ).
cnf(refute_1_1093,plain,
meet(converse(top),zero) = zero,
inference(resolve,[$cnf( $equal(meet(zero,converse(top)),zero) )],[refute_1_1089,refute_1_1092]) ).
cnf(refute_1_1094,plain,
meet(zero,converse(complement(converse(top)))) = zero,
inference(subst,[],[refute_1_858:[bind(X_480,$fot(converse(complement(converse(top)))))]]) ).
cnf(refute_1_1095,plain,
meet(converse(top),meet(zero,converse(complement(converse(top))))) = meet(converse(top),meet(zero,converse(complement(converse(top))))),
introduced(tautology,[refl,[$fot(meet(converse(top),meet(zero,converse(complement(converse(top))))))]]) ).
cnf(refute_1_1096,plain,
( meet(converse(top),meet(zero,converse(complement(converse(top))))) != meet(converse(top),meet(zero,converse(complement(converse(top)))))
| meet(zero,converse(complement(converse(top)))) != zero
| meet(converse(top),meet(zero,converse(complement(converse(top))))) = meet(converse(top),zero) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(top),meet(zero,converse(complement(converse(top))))),meet(converse(top),meet(zero,converse(complement(converse(top)))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_1_1097,plain,
( meet(zero,converse(complement(converse(top)))) != zero
| meet(converse(top),meet(zero,converse(complement(converse(top))))) = meet(converse(top),zero) ),
inference(resolve,[$cnf( $equal(meet(converse(top),meet(zero,converse(complement(converse(top))))),meet(converse(top),meet(zero,converse(complement(converse(top)))))) )],[refute_1_1095,refute_1_1096]) ).
cnf(refute_1_1098,plain,
meet(converse(top),meet(zero,converse(complement(converse(top))))) = meet(converse(top),zero),
inference(resolve,[$cnf( $equal(meet(zero,converse(complement(converse(top)))),zero) )],[refute_1_1094,refute_1_1097]) ).
cnf(refute_1_1099,plain,
( meet(converse(top),meet(zero,converse(complement(converse(top))))) != meet(converse(top),zero)
| meet(converse(top),zero) != zero
| meet(converse(top),meet(zero,converse(complement(converse(top))))) = zero ),
inference(subst,[],[refute_1_52:[bind(X,$fot(meet(converse(top),meet(zero,converse(complement(converse(top))))))),bind(Y,$fot(meet(converse(top),zero))),bind(Z,$fot(zero))]]) ).
cnf(refute_1_1100,plain,
( meet(converse(top),zero) != zero
| meet(converse(top),meet(zero,converse(complement(converse(top))))) = zero ),
inference(resolve,[$cnf( $equal(meet(converse(top),meet(zero,converse(complement(converse(top))))),meet(converse(top),zero)) )],[refute_1_1098,refute_1_1099]) ).
cnf(refute_1_1101,plain,
meet(converse(top),meet(zero,converse(complement(converse(top))))) = zero,
inference(resolve,[$cnf( $equal(meet(converse(top),zero),zero) )],[refute_1_1093,refute_1_1100]) ).
cnf(refute_1_1102,plain,
join(top,meet(converse(top),meet(zero,converse(complement(converse(top)))))) = join(top,meet(converse(top),meet(zero,converse(complement(converse(top)))))),
introduced(tautology,[refl,[$fot(join(top,meet(converse(top),meet(zero,converse(complement(converse(top)))))))]]) ).
cnf(refute_1_1103,plain,
( join(top,meet(converse(top),meet(zero,converse(complement(converse(top)))))) != join(top,meet(converse(top),meet(zero,converse(complement(converse(top))))))
| meet(converse(top),meet(zero,converse(complement(converse(top))))) != zero
| join(top,meet(converse(top),meet(zero,converse(complement(converse(top)))))) = join(top,zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(top,meet(converse(top),meet(zero,converse(complement(converse(top)))))),join(top,meet(converse(top),meet(zero,converse(complement(converse(top))))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_1_1104,plain,
( meet(converse(top),meet(zero,converse(complement(converse(top))))) != zero
| join(top,meet(converse(top),meet(zero,converse(complement(converse(top)))))) = join(top,zero) ),
inference(resolve,[$cnf( $equal(join(top,meet(converse(top),meet(zero,converse(complement(converse(top)))))),join(top,meet(converse(top),meet(zero,converse(complement(converse(top))))))) )],[refute_1_1102,refute_1_1103]) ).
cnf(refute_1_1105,plain,
join(top,meet(converse(top),meet(zero,converse(complement(converse(top)))))) = join(top,zero),
inference(resolve,[$cnf( $equal(meet(converse(top),meet(zero,converse(complement(converse(top))))),zero) )],[refute_1_1101,refute_1_1104]) ).
cnf(refute_1_1106,plain,
( join(top,meet(converse(top),meet(zero,converse(complement(converse(top)))))) != join(top,zero)
| join(top,zero) != top
| join(top,meet(converse(top),meet(zero,converse(complement(converse(top)))))) = top ),
inference(subst,[],[refute_1_52:[bind(X,$fot(join(top,meet(converse(top),meet(zero,converse(complement(converse(top)))))))),bind(Y,$fot(join(top,zero))),bind(Z,$fot(top))]]) ).
cnf(refute_1_1107,plain,
( join(top,zero) != top
| join(top,meet(converse(top),meet(zero,converse(complement(converse(top)))))) = top ),
inference(resolve,[$cnf( $equal(join(top,meet(converse(top),meet(zero,converse(complement(converse(top)))))),join(top,zero)) )],[refute_1_1105,refute_1_1106]) ).
cnf(refute_1_1108,plain,
join(top,meet(converse(top),meet(zero,converse(complement(converse(top)))))) = top,
inference(resolve,[$cnf( $equal(join(top,zero),top) )],[refute_1_632,refute_1_1107]) ).
cnf(refute_1_1109,plain,
( converse(top) != join(top,meet(converse(top),meet(zero,converse(complement(converse(top))))))
| join(top,meet(converse(top),meet(zero,converse(complement(converse(top)))))) != top
| converse(top) = top ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(top),top) ),[0],$fot(join(top,meet(converse(top),meet(zero,converse(complement(converse(top)))))))]]) ).
cnf(refute_1_1110,plain,
( converse(top) != join(top,meet(converse(top),meet(zero,converse(complement(converse(top))))))
| converse(top) = top ),
inference(resolve,[$cnf( $equal(join(top,meet(converse(top),meet(zero,converse(complement(converse(top)))))),top) )],[refute_1_1108,refute_1_1109]) ).
cnf(refute_1_1111,plain,
converse(top) = top,
inference(resolve,[$cnf( $equal(converse(top),join(top,meet(converse(top),meet(zero,converse(complement(converse(top))))))) )],[refute_1_1088,refute_1_1110]) ).
cnf(refute_1_1112,plain,
( converse(composition(converse(top),X_390)) != composition(converse(X_390),top)
| converse(top) != top
| converse(composition(top,X_390)) = composition(converse(X_390),top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(top),X_390)),composition(converse(X_390),top)) ),[0,0,0],$fot(top)]]) ).
cnf(refute_1_1113,plain,
( converse(composition(converse(top),X_390)) != composition(converse(X_390),top)
| converse(composition(top,X_390)) = composition(converse(X_390),top) ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_1_1111,refute_1_1112]) ).
cnf(refute_1_1114,plain,
converse(composition(top,X_390)) = composition(converse(X_390),top),
inference(resolve,[$cnf( $equal(converse(composition(converse(top),X_390)),composition(converse(X_390),top)) )],[refute_1_1044,refute_1_1113]) ).
cnf(refute_1_1115,plain,
( converse(composition(top,X_390)) != composition(converse(X_390),top)
| composition(converse(X_390),top) = converse(composition(top,X_390)) ),
inference(subst,[],[refute_1_5:[bind(X,$fot(converse(composition(top,X_390)))),bind(Y,$fot(composition(converse(X_390),top)))]]) ).
cnf(refute_1_1116,plain,
composition(converse(X_390),top) = converse(composition(top,X_390)),
inference(resolve,[$cnf( $equal(converse(composition(top,X_390)),composition(converse(X_390),top)) )],[refute_1_1114,refute_1_1115]) ).
cnf(refute_1_1117,plain,
composition(converse(X0),top) = converse(composition(top,X0)),
inference(subst,[],[refute_1_1116:[bind(X_390,$fot(X0))]]) ).
cnf(refute_1_1118,plain,
complement(composition(converse(X0),top)) = complement(composition(converse(X0),top)),
introduced(tautology,[refl,[$fot(complement(composition(converse(X0),top)))]]) ).
cnf(refute_1_1119,plain,
( complement(composition(converse(X0),top)) != complement(composition(converse(X0),top))
| composition(converse(X0),top) != converse(composition(top,X0))
| complement(composition(converse(X0),top)) = complement(converse(composition(top,X0))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(converse(X0),top)),complement(composition(converse(X0),top))) ),[1,0],$fot(converse(composition(top,X0)))]]) ).
cnf(refute_1_1120,plain,
( composition(converse(X0),top) != converse(composition(top,X0))
| complement(composition(converse(X0),top)) = complement(converse(composition(top,X0))) ),
inference(resolve,[$cnf( $equal(complement(composition(converse(X0),top)),complement(composition(converse(X0),top))) )],[refute_1_1118,refute_1_1119]) ).
cnf(refute_1_1121,plain,
complement(composition(converse(X0),top)) = complement(converse(composition(top,X0))),
inference(resolve,[$cnf( $equal(composition(converse(X0),top),converse(composition(top,X0))) )],[refute_1_1117,refute_1_1120]) ).
cnf(refute_1_1122,plain,
composition(X0,complement(composition(converse(X0),top))) = composition(X0,complement(composition(converse(X0),top))),
introduced(tautology,[refl,[$fot(composition(X0,complement(composition(converse(X0),top))))]]) ).
cnf(refute_1_1123,plain,
( complement(composition(converse(X0),top)) != complement(converse(composition(top,X0)))
| composition(X0,complement(composition(converse(X0),top))) != composition(X0,complement(composition(converse(X0),top)))
| composition(X0,complement(composition(converse(X0),top))) = composition(X0,complement(converse(composition(top,X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(X0,complement(composition(converse(X0),top))),composition(X0,complement(composition(converse(X0),top)))) ),[1,1],$fot(complement(converse(composition(top,X0))))]]) ).
cnf(refute_1_1124,plain,
( complement(composition(converse(X0),top)) != complement(converse(composition(top,X0)))
| composition(X0,complement(composition(converse(X0),top))) = composition(X0,complement(converse(composition(top,X0)))) ),
inference(resolve,[$cnf( $equal(composition(X0,complement(composition(converse(X0),top))),composition(X0,complement(composition(converse(X0),top)))) )],[refute_1_1122,refute_1_1123]) ).
cnf(refute_1_1125,plain,
composition(X0,complement(composition(converse(X0),top))) = composition(X0,complement(converse(composition(top,X0)))),
inference(resolve,[$cnf( $equal(complement(composition(converse(X0),top)),complement(converse(composition(top,X0)))) )],[refute_1_1121,refute_1_1124]) ).
cnf(refute_1_1126,plain,
( composition(X0,complement(composition(converse(X0),top))) != composition(X0,complement(converse(composition(top,X0))))
| composition(X0,complement(composition(converse(X0),top))) != zero
| composition(X0,complement(converse(composition(top,X0)))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(composition(X0,complement(composition(converse(X0),top))),zero) ),[0],$fot(composition(X0,complement(converse(composition(top,X0)))))]]) ).
cnf(refute_1_1127,plain,
( composition(X0,complement(composition(converse(X0),top))) != zero
| composition(X0,complement(converse(composition(top,X0)))) = zero ),
inference(resolve,[$cnf( $equal(composition(X0,complement(composition(converse(X0),top))),composition(X0,complement(converse(composition(top,X0))))) )],[refute_1_1125,refute_1_1126]) ).
cnf(refute_1_1128,plain,
composition(X0,complement(converse(composition(top,X0)))) = zero,
inference(resolve,[$cnf( $equal(composition(X0,complement(composition(converse(X0),top))),zero) )],[refute_1_1043,refute_1_1127]) ).
cnf(refute_1_1129,plain,
composition(converse(X_563),complement(converse(composition(top,converse(X_563))))) = zero,
inference(subst,[],[refute_1_1128:[bind(X0,$fot(converse(X_563)))]]) ).
cnf(refute_1_1130,plain,
( composition(converse(X_563),complement(converse(composition(top,converse(X_563))))) != zero
| composition(converse(composition(X_563,X_562)),complement(converse(composition(top,converse(X_563))))) != composition(converse(X_562),composition(converse(X_563),complement(converse(composition(top,converse(X_563))))))
| composition(converse(composition(X_563,X_562)),complement(converse(composition(top,converse(X_563))))) = composition(converse(X_562),zero) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(composition(X_563,X_562)),complement(converse(composition(top,converse(X_563))))),composition(converse(X_562),composition(converse(X_563),complement(converse(composition(top,converse(X_563))))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_1_1131,plain,
( composition(converse(composition(X_563,X_562)),complement(converse(composition(top,converse(X_563))))) != composition(converse(X_562),composition(converse(X_563),complement(converse(composition(top,converse(X_563))))))
| composition(converse(composition(X_563,X_562)),complement(converse(composition(top,converse(X_563))))) = composition(converse(X_562),zero) ),
inference(resolve,[$cnf( $equal(composition(converse(X_563),complement(converse(composition(top,converse(X_563))))),zero) )],[refute_1_1129,refute_1_1130]) ).
cnf(refute_1_1132,plain,
composition(converse(composition(X_563,X_562)),complement(converse(composition(top,converse(X_563))))) = composition(converse(X_562),zero),
inference(resolve,[$cnf( $equal(composition(converse(composition(X_563,X_562)),complement(converse(composition(top,converse(X_563))))),composition(converse(X_562),composition(converse(X_563),complement(converse(composition(top,converse(X_563))))))) )],[refute_1_59,refute_1_1131]) ).
cnf(refute_1_1133,plain,
composition(X_563,converse(top)) = composition(X_563,converse(top)),
introduced(tautology,[refl,[$fot(composition(X_563,converse(top)))]]) ).
cnf(refute_1_1134,plain,
( composition(X_563,converse(top)) != composition(X_563,converse(top))
| converse(top) != top
| composition(X_563,converse(top)) = composition(X_563,top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(X_563,converse(top)),composition(X_563,converse(top))) ),[1,1],$fot(top)]]) ).
cnf(refute_1_1135,plain,
( converse(top) != top
| composition(X_563,converse(top)) = composition(X_563,top) ),
inference(resolve,[$cnf( $equal(composition(X_563,converse(top)),composition(X_563,converse(top))) )],[refute_1_1133,refute_1_1134]) ).
cnf(refute_1_1136,plain,
composition(X_563,converse(top)) = composition(X_563,top),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_1_1111,refute_1_1135]) ).
cnf(refute_1_1137,plain,
converse(composition(X_389,converse(X0))) = composition(converse(converse(X0)),converse(X_389)),
inference(subst,[],[refute_1_13:[bind(X0,$fot(X_389)),bind(X1,$fot(converse(X0)))]]) ).
cnf(refute_1_1138,plain,
( converse(composition(X_389,converse(X0))) != composition(converse(converse(X0)),converse(X_389))
| converse(converse(X0)) != X0
| converse(composition(X_389,converse(X0))) = composition(X0,converse(X_389)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(X_389,converse(X0))),composition(converse(converse(X0)),converse(X_389))) ),[1,0],$fot(X0)]]) ).
cnf(refute_1_1139,plain,
( converse(composition(X_389,converse(X0))) != composition(converse(converse(X0)),converse(X_389))
| converse(composition(X_389,converse(X0))) = composition(X0,converse(X_389)) ),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_1_19,refute_1_1138]) ).
cnf(refute_1_1140,plain,
converse(composition(X_389,converse(X0))) = composition(X0,converse(X_389)),
inference(resolve,[$cnf( $equal(converse(composition(X_389,converse(X0))),composition(converse(converse(X0)),converse(X_389))) )],[refute_1_1137,refute_1_1139]) ).
cnf(refute_1_1141,plain,
converse(composition(top,converse(X_563))) = composition(X_563,converse(top)),
inference(subst,[],[refute_1_1140:[bind(X0,$fot(X_563)),bind(X_389,$fot(top))]]) ).
cnf(refute_1_1142,plain,
( composition(X_563,converse(top)) != composition(X_563,top)
| converse(composition(top,converse(X_563))) != composition(X_563,converse(top))
| converse(composition(top,converse(X_563))) = composition(X_563,top) ),
inference(subst,[],[refute_1_52:[bind(X,$fot(converse(composition(top,converse(X_563))))),bind(Y,$fot(composition(X_563,converse(top)))),bind(Z,$fot(composition(X_563,top)))]]) ).
cnf(refute_1_1143,plain,
( composition(X_563,converse(top)) != composition(X_563,top)
| converse(composition(top,converse(X_563))) = composition(X_563,top) ),
inference(resolve,[$cnf( $equal(converse(composition(top,converse(X_563))),composition(X_563,converse(top))) )],[refute_1_1141,refute_1_1142]) ).
cnf(refute_1_1144,plain,
converse(composition(top,converse(X_563))) = composition(X_563,top),
inference(resolve,[$cnf( $equal(composition(X_563,converse(top)),composition(X_563,top)) )],[refute_1_1136,refute_1_1143]) ).
cnf(refute_1_1145,plain,
complement(converse(composition(top,converse(X_563)))) = complement(converse(composition(top,converse(X_563)))),
introduced(tautology,[refl,[$fot(complement(converse(composition(top,converse(X_563)))))]]) ).
cnf(refute_1_1146,plain,
( complement(converse(composition(top,converse(X_563)))) != complement(converse(composition(top,converse(X_563))))
| converse(composition(top,converse(X_563))) != composition(X_563,top)
| complement(converse(composition(top,converse(X_563)))) = complement(composition(X_563,top)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(composition(top,converse(X_563)))),complement(converse(composition(top,converse(X_563))))) ),[1,0],$fot(composition(X_563,top))]]) ).
cnf(refute_1_1147,plain,
( converse(composition(top,converse(X_563))) != composition(X_563,top)
| complement(converse(composition(top,converse(X_563)))) = complement(composition(X_563,top)) ),
inference(resolve,[$cnf( $equal(complement(converse(composition(top,converse(X_563)))),complement(converse(composition(top,converse(X_563))))) )],[refute_1_1145,refute_1_1146]) ).
cnf(refute_1_1148,plain,
complement(converse(composition(top,converse(X_563)))) = complement(composition(X_563,top)),
inference(resolve,[$cnf( $equal(converse(composition(top,converse(X_563))),composition(X_563,top)) )],[refute_1_1144,refute_1_1147]) ).
cnf(refute_1_1149,plain,
composition(converse(composition(X_563,X_562)),complement(converse(composition(top,converse(X_563))))) = composition(converse(composition(X_563,X_562)),complement(converse(composition(top,converse(X_563))))),
introduced(tautology,[refl,[$fot(composition(converse(composition(X_563,X_562)),complement(converse(composition(top,converse(X_563))))))]]) ).
cnf(refute_1_1150,plain,
( complement(converse(composition(top,converse(X_563)))) != complement(composition(X_563,top))
| composition(converse(composition(X_563,X_562)),complement(converse(composition(top,converse(X_563))))) != composition(converse(composition(X_563,X_562)),complement(converse(composition(top,converse(X_563)))))
| composition(converse(composition(X_563,X_562)),complement(converse(composition(top,converse(X_563))))) = composition(converse(composition(X_563,X_562)),complement(composition(X_563,top))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(composition(X_563,X_562)),complement(converse(composition(top,converse(X_563))))),composition(converse(composition(X_563,X_562)),complement(converse(composition(top,converse(X_563)))))) ),[1,1],$fot(complement(composition(X_563,top)))]]) ).
cnf(refute_1_1151,plain,
( complement(converse(composition(top,converse(X_563)))) != complement(composition(X_563,top))
| composition(converse(composition(X_563,X_562)),complement(converse(composition(top,converse(X_563))))) = composition(converse(composition(X_563,X_562)),complement(composition(X_563,top))) ),
inference(resolve,[$cnf( $equal(composition(converse(composition(X_563,X_562)),complement(converse(composition(top,converse(X_563))))),composition(converse(composition(X_563,X_562)),complement(converse(composition(top,converse(X_563)))))) )],[refute_1_1149,refute_1_1150]) ).
cnf(refute_1_1152,plain,
composition(converse(composition(X_563,X_562)),complement(converse(composition(top,converse(X_563))))) = composition(converse(composition(X_563,X_562)),complement(composition(X_563,top))),
inference(resolve,[$cnf( $equal(complement(converse(composition(top,converse(X_563)))),complement(composition(X_563,top))) )],[refute_1_1148,refute_1_1151]) ).
cnf(refute_1_1153,plain,
( composition(converse(composition(X_563,X_562)),complement(converse(composition(top,converse(X_563))))) != composition(converse(X_562),zero)
| composition(converse(composition(X_563,X_562)),complement(converse(composition(top,converse(X_563))))) != composition(converse(composition(X_563,X_562)),complement(composition(X_563,top)))
| composition(converse(composition(X_563,X_562)),complement(composition(X_563,top))) = composition(converse(X_562),zero) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(composition(X_563,X_562)),complement(converse(composition(top,converse(X_563))))),composition(converse(X_562),zero)) ),[0],$fot(composition(converse(composition(X_563,X_562)),complement(composition(X_563,top))))]]) ).
cnf(refute_1_1154,plain,
( composition(converse(composition(X_563,X_562)),complement(converse(composition(top,converse(X_563))))) != composition(converse(X_562),zero)
| composition(converse(composition(X_563,X_562)),complement(composition(X_563,top))) = composition(converse(X_562),zero) ),
inference(resolve,[$cnf( $equal(composition(converse(composition(X_563,X_562)),complement(converse(composition(top,converse(X_563))))),composition(converse(composition(X_563,X_562)),complement(composition(X_563,top)))) )],[refute_1_1152,refute_1_1153]) ).
cnf(refute_1_1155,plain,
composition(X0,composition(X1,complement(composition(top,top)))) = composition(composition(X0,X1),complement(composition(top,top))),
inference(subst,[],[refute_1_43:[bind(X2,$fot(complement(composition(top,top))))]]) ).
cnf(refute_1_1156,plain,
composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(canonicalize,[],[normalize_1_28]) ).
cnf(refute_1_1157,plain,
composition(join(X_510,top),complement(composition(top,top))) = join(composition(X_510,complement(composition(top,top))),composition(top,complement(composition(top,top)))),
inference(subst,[],[refute_1_1156:[bind(X0,$fot(X_510)),bind(X1,$fot(top)),bind(X2,$fot(complement(composition(top,top))))]]) ).
cnf(refute_1_1158,plain,
composition(converse(top),complement(composition(top,top))) = zero,
inference(subst,[],[refute_1_1039:[bind(X_473,$fot(top))]]) ).
cnf(refute_1_1159,plain,
( composition(converse(top),complement(composition(top,top))) != zero
| converse(top) != top
| composition(top,complement(composition(top,top))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(top),complement(composition(top,top))),zero) ),[0,0],$fot(top)]]) ).
cnf(refute_1_1160,plain,
( composition(converse(top),complement(composition(top,top))) != zero
| composition(top,complement(composition(top,top))) = zero ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_1_1111,refute_1_1159]) ).
cnf(refute_1_1161,plain,
composition(top,complement(composition(top,top))) = zero,
inference(resolve,[$cnf( $equal(composition(converse(top),complement(composition(top,top))),zero) )],[refute_1_1158,refute_1_1160]) ).
cnf(refute_1_1162,plain,
( composition(join(X_510,top),complement(composition(top,top))) != join(composition(X_510,complement(composition(top,top))),composition(top,complement(composition(top,top))))
| composition(top,complement(composition(top,top))) != zero
| composition(join(X_510,top),complement(composition(top,top))) = join(composition(X_510,complement(composition(top,top))),zero) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X_510,top),complement(composition(top,top))),join(composition(X_510,complement(composition(top,top))),composition(top,complement(composition(top,top))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_1_1163,plain,
( composition(join(X_510,top),complement(composition(top,top))) != join(composition(X_510,complement(composition(top,top))),composition(top,complement(composition(top,top))))
| composition(join(X_510,top),complement(composition(top,top))) = join(composition(X_510,complement(composition(top,top))),zero) ),
inference(resolve,[$cnf( $equal(composition(top,complement(composition(top,top))),zero) )],[refute_1_1161,refute_1_1162]) ).
cnf(refute_1_1164,plain,
composition(join(X_510,top),complement(composition(top,top))) = join(composition(X_510,complement(composition(top,top))),zero),
inference(resolve,[$cnf( $equal(composition(join(X_510,top),complement(composition(top,top))),join(composition(X_510,complement(composition(top,top))),composition(top,complement(composition(top,top))))) )],[refute_1_1157,refute_1_1163]) ).
cnf(refute_1_1165,plain,
join(X_465,join(complement(X_412),join(top,meet(X_412,zero)))) = join(join(X_465,complement(X_412)),join(top,meet(X_412,zero))),
inference(subst,[],[refute_1_160:[bind(X0,$fot(X_465)),bind(X1,$fot(complement(X_412))),bind(X2,$fot(join(top,meet(X_412,zero))))]]) ).
cnf(refute_1_1166,plain,
top = join(complement(X_412),join(complement(join(zero,zero)),meet(X_412,join(zero,zero)))),
inference(subst,[],[refute_1_166:[bind(X_406,$fot(X_412)),bind(X_407,$fot(join(zero,zero)))]]) ).
cnf(refute_1_1167,plain,
( meet(top,top) != complement(join(zero,zero))
| complement(join(zero,zero)) = meet(top,top) ),
inference(subst,[],[refute_1_5:[bind(X,$fot(meet(top,top))),bind(Y,$fot(complement(join(zero,zero))))]]) ).
cnf(refute_1_1168,plain,
complement(join(zero,zero)) = meet(top,top),
inference(resolve,[$cnf( $equal(meet(top,top),complement(join(zero,zero))) )],[refute_1_728,refute_1_1167]) ).
cnf(refute_1_1169,plain,
( complement(join(zero,zero)) != meet(top,top)
| top != join(complement(X_412),join(complement(join(zero,zero)),meet(X_412,join(zero,zero))))
| top = join(complement(X_412),join(meet(top,top),meet(X_412,join(zero,zero)))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(X_412),join(complement(join(zero,zero)),meet(X_412,join(zero,zero))))) ),[1,1,0],$fot(meet(top,top))]]) ).
cnf(refute_1_1170,plain,
( top != join(complement(X_412),join(complement(join(zero,zero)),meet(X_412,join(zero,zero))))
| top = join(complement(X_412),join(meet(top,top),meet(X_412,join(zero,zero)))) ),
inference(resolve,[$cnf( $equal(complement(join(zero,zero)),meet(top,top)) )],[refute_1_1168,refute_1_1169]) ).
cnf(refute_1_1171,plain,
top = join(complement(X_412),join(meet(top,top),meet(X_412,join(zero,zero)))),
inference(resolve,[$cnf( $equal(top,join(complement(X_412),join(complement(join(zero,zero)),meet(X_412,join(zero,zero))))) )],[refute_1_1166,refute_1_1170]) ).
cnf(refute_1_1172,plain,
meet(X_412,join(zero,zero)) = meet(X_412,join(zero,zero)),
introduced(tautology,[refl,[$fot(meet(X_412,join(zero,zero)))]]) ).
cnf(refute_1_1173,plain,
( join(zero,zero) != zero
| meet(X_412,join(zero,zero)) != meet(X_412,join(zero,zero))
| meet(X_412,join(zero,zero)) = meet(X_412,zero) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_412,join(zero,zero)),meet(X_412,join(zero,zero))) ),[1,1],$fot(zero)]]) ).
cnf(refute_1_1174,plain,
( join(zero,zero) != zero
| meet(X_412,join(zero,zero)) = meet(X_412,zero) ),
inference(resolve,[$cnf( $equal(meet(X_412,join(zero,zero)),meet(X_412,join(zero,zero))) )],[refute_1_1172,refute_1_1173]) ).
cnf(refute_1_1175,plain,
meet(X_412,join(zero,zero)) = meet(X_412,zero),
inference(resolve,[$cnf( $equal(join(zero,zero),zero) )],[refute_1_801,refute_1_1174]) ).
cnf(refute_1_1176,plain,
join(top,meet(X_412,join(zero,zero))) = join(top,meet(X_412,join(zero,zero))),
introduced(tautology,[refl,[$fot(join(top,meet(X_412,join(zero,zero))))]]) ).
cnf(refute_1_1177,plain,
( join(top,meet(X_412,join(zero,zero))) != join(top,meet(X_412,join(zero,zero)))
| meet(X_412,join(zero,zero)) != meet(X_412,zero)
| join(top,meet(X_412,join(zero,zero))) = join(top,meet(X_412,zero)) ),
introduced(tautology,[equality,[$cnf( $equal(join(top,meet(X_412,join(zero,zero))),join(top,meet(X_412,join(zero,zero)))) ),[1,1],$fot(meet(X_412,zero))]]) ).
cnf(refute_1_1178,plain,
( meet(X_412,join(zero,zero)) != meet(X_412,zero)
| join(top,meet(X_412,join(zero,zero))) = join(top,meet(X_412,zero)) ),
inference(resolve,[$cnf( $equal(join(top,meet(X_412,join(zero,zero))),join(top,meet(X_412,join(zero,zero)))) )],[refute_1_1176,refute_1_1177]) ).
cnf(refute_1_1179,plain,
join(top,meet(X_412,join(zero,zero))) = join(top,meet(X_412,zero)),
inference(resolve,[$cnf( $equal(meet(X_412,join(zero,zero)),meet(X_412,zero)) )],[refute_1_1175,refute_1_1178]) ).
cnf(refute_1_1180,plain,
join(meet(top,top),meet(X_412,join(zero,zero))) = join(meet(top,top),meet(X_412,join(zero,zero))),
introduced(tautology,[refl,[$fot(join(meet(top,top),meet(X_412,join(zero,zero))))]]) ).
cnf(refute_1_1181,plain,
( join(meet(top,top),meet(X_412,join(zero,zero))) != join(meet(top,top),meet(X_412,join(zero,zero)))
| meet(top,top) != top
| join(meet(top,top),meet(X_412,join(zero,zero))) = join(top,meet(X_412,join(zero,zero))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(top,top),meet(X_412,join(zero,zero))),join(meet(top,top),meet(X_412,join(zero,zero)))) ),[1,0],$fot(top)]]) ).
cnf(refute_1_1182,plain,
( meet(top,top) != top
| join(meet(top,top),meet(X_412,join(zero,zero))) = join(top,meet(X_412,join(zero,zero))) ),
inference(resolve,[$cnf( $equal(join(meet(top,top),meet(X_412,join(zero,zero))),join(meet(top,top),meet(X_412,join(zero,zero)))) )],[refute_1_1180,refute_1_1181]) ).
cnf(refute_1_1183,plain,
join(meet(top,top),meet(X_412,join(zero,zero))) = join(top,meet(X_412,join(zero,zero))),
inference(resolve,[$cnf( $equal(meet(top,top),top) )],[refute_1_811,refute_1_1182]) ).
cnf(refute_1_1184,plain,
( join(meet(top,top),meet(X_412,join(zero,zero))) != join(top,meet(X_412,join(zero,zero)))
| join(top,meet(X_412,join(zero,zero))) != join(top,meet(X_412,zero))
| join(meet(top,top),meet(X_412,join(zero,zero))) = join(top,meet(X_412,zero)) ),
inference(subst,[],[refute_1_52:[bind(X,$fot(join(meet(top,top),meet(X_412,join(zero,zero))))),bind(Y,$fot(join(top,meet(X_412,join(zero,zero))))),bind(Z,$fot(join(top,meet(X_412,zero))))]]) ).
cnf(refute_1_1185,plain,
( join(top,meet(X_412,join(zero,zero))) != join(top,meet(X_412,zero))
| join(meet(top,top),meet(X_412,join(zero,zero))) = join(top,meet(X_412,zero)) ),
inference(resolve,[$cnf( $equal(join(meet(top,top),meet(X_412,join(zero,zero))),join(top,meet(X_412,join(zero,zero)))) )],[refute_1_1183,refute_1_1184]) ).
cnf(refute_1_1186,plain,
join(meet(top,top),meet(X_412,join(zero,zero))) = join(top,meet(X_412,zero)),
inference(resolve,[$cnf( $equal(join(top,meet(X_412,join(zero,zero))),join(top,meet(X_412,zero))) )],[refute_1_1179,refute_1_1185]) ).
cnf(refute_1_1187,plain,
join(complement(X_412),join(meet(top,top),meet(X_412,join(zero,zero)))) = join(complement(X_412),join(meet(top,top),meet(X_412,join(zero,zero)))),
introduced(tautology,[refl,[$fot(join(complement(X_412),join(meet(top,top),meet(X_412,join(zero,zero)))))]]) ).
cnf(refute_1_1188,plain,
( join(complement(X_412),join(meet(top,top),meet(X_412,join(zero,zero)))) != join(complement(X_412),join(meet(top,top),meet(X_412,join(zero,zero))))
| join(meet(top,top),meet(X_412,join(zero,zero))) != join(top,meet(X_412,zero))
| join(complement(X_412),join(meet(top,top),meet(X_412,join(zero,zero)))) = join(complement(X_412),join(top,meet(X_412,zero))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_412),join(meet(top,top),meet(X_412,join(zero,zero)))),join(complement(X_412),join(meet(top,top),meet(X_412,join(zero,zero))))) ),[1,1],$fot(join(top,meet(X_412,zero)))]]) ).
cnf(refute_1_1189,plain,
( join(meet(top,top),meet(X_412,join(zero,zero))) != join(top,meet(X_412,zero))
| join(complement(X_412),join(meet(top,top),meet(X_412,join(zero,zero)))) = join(complement(X_412),join(top,meet(X_412,zero))) ),
inference(resolve,[$cnf( $equal(join(complement(X_412),join(meet(top,top),meet(X_412,join(zero,zero)))),join(complement(X_412),join(meet(top,top),meet(X_412,join(zero,zero))))) )],[refute_1_1187,refute_1_1188]) ).
cnf(refute_1_1190,plain,
join(complement(X_412),join(meet(top,top),meet(X_412,join(zero,zero)))) = join(complement(X_412),join(top,meet(X_412,zero))),
inference(resolve,[$cnf( $equal(join(meet(top,top),meet(X_412,join(zero,zero))),join(top,meet(X_412,zero))) )],[refute_1_1186,refute_1_1189]) ).
cnf(refute_1_1191,plain,
( join(complement(X_412),join(meet(top,top),meet(X_412,join(zero,zero)))) != join(complement(X_412),join(top,meet(X_412,zero)))
| top != join(complement(X_412),join(meet(top,top),meet(X_412,join(zero,zero))))
| top = join(complement(X_412),join(top,meet(X_412,zero))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(X_412),join(meet(top,top),meet(X_412,join(zero,zero))))) ),[1],$fot(join(complement(X_412),join(top,meet(X_412,zero))))]]) ).
cnf(refute_1_1192,plain,
( top != join(complement(X_412),join(meet(top,top),meet(X_412,join(zero,zero))))
| top = join(complement(X_412),join(top,meet(X_412,zero))) ),
inference(resolve,[$cnf( $equal(join(complement(X_412),join(meet(top,top),meet(X_412,join(zero,zero)))),join(complement(X_412),join(top,meet(X_412,zero)))) )],[refute_1_1190,refute_1_1191]) ).
cnf(refute_1_1193,plain,
top = join(complement(X_412),join(top,meet(X_412,zero))),
inference(resolve,[$cnf( $equal(top,join(complement(X_412),join(meet(top,top),meet(X_412,join(zero,zero))))) )],[refute_1_1171,refute_1_1192]) ).
cnf(refute_1_1194,plain,
( top != join(complement(X_412),join(top,meet(X_412,zero)))
| join(complement(X_412),join(top,meet(X_412,zero))) = top ),
inference(subst,[],[refute_1_5:[bind(X,$fot(top)),bind(Y,$fot(join(complement(X_412),join(top,meet(X_412,zero)))))]]) ).
cnf(refute_1_1195,plain,
join(complement(X_412),join(top,meet(X_412,zero))) = top,
inference(resolve,[$cnf( $equal(top,join(complement(X_412),join(top,meet(X_412,zero)))) )],[refute_1_1193,refute_1_1194]) ).
cnf(refute_1_1196,plain,
( join(X_465,join(complement(X_412),join(top,meet(X_412,zero)))) != join(join(X_465,complement(X_412)),join(top,meet(X_412,zero)))
| join(complement(X_412),join(top,meet(X_412,zero))) != top
| join(X_465,top) = join(join(X_465,complement(X_412)),join(top,meet(X_412,zero))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_465,join(complement(X_412),join(top,meet(X_412,zero)))),join(join(X_465,complement(X_412)),join(top,meet(X_412,zero)))) ),[0,1],$fot(top)]]) ).
cnf(refute_1_1197,plain,
( join(X_465,join(complement(X_412),join(top,meet(X_412,zero)))) != join(join(X_465,complement(X_412)),join(top,meet(X_412,zero)))
| join(X_465,top) = join(join(X_465,complement(X_412)),join(top,meet(X_412,zero))) ),
inference(resolve,[$cnf( $equal(join(complement(X_412),join(top,meet(X_412,zero))),top) )],[refute_1_1195,refute_1_1196]) ).
cnf(refute_1_1198,plain,
join(X_465,top) = join(join(X_465,complement(X_412)),join(top,meet(X_412,zero))),
inference(resolve,[$cnf( $equal(join(X_465,join(complement(X_412),join(top,meet(X_412,zero)))),join(join(X_465,complement(X_412)),join(top,meet(X_412,zero)))) )],[refute_1_1165,refute_1_1197]) ).
cnf(refute_1_1199,plain,
join(meet(X_412,zero),join(X_465,complement(X_412))) = join(complement(X_412),join(meet(X_412,zero),X_465)),
inference(subst,[],[refute_1_609:[bind(X0,$fot(complement(X_412))),bind(X_465,$fot(meet(X_412,zero))),bind(X_466,$fot(X_465))]]) ).
cnf(refute_1_1200,plain,
join(top,join(meet(X_412,zero),join(X_465,complement(X_412)))) = join(top,join(meet(X_412,zero),join(X_465,complement(X_412)))),
introduced(tautology,[refl,[$fot(join(top,join(meet(X_412,zero),join(X_465,complement(X_412)))))]]) ).
cnf(refute_1_1201,plain,
( join(meet(X_412,zero),join(X_465,complement(X_412))) != join(complement(X_412),join(meet(X_412,zero),X_465))
| join(top,join(meet(X_412,zero),join(X_465,complement(X_412)))) != join(top,join(meet(X_412,zero),join(X_465,complement(X_412))))
| join(top,join(meet(X_412,zero),join(X_465,complement(X_412)))) = join(top,join(complement(X_412),join(meet(X_412,zero),X_465))) ),
introduced(tautology,[equality,[$cnf( $equal(join(top,join(meet(X_412,zero),join(X_465,complement(X_412)))),join(top,join(meet(X_412,zero),join(X_465,complement(X_412))))) ),[1,1],$fot(join(complement(X_412),join(meet(X_412,zero),X_465)))]]) ).
cnf(refute_1_1202,plain,
( join(meet(X_412,zero),join(X_465,complement(X_412))) != join(complement(X_412),join(meet(X_412,zero),X_465))
| join(top,join(meet(X_412,zero),join(X_465,complement(X_412)))) = join(top,join(complement(X_412),join(meet(X_412,zero),X_465))) ),
inference(resolve,[$cnf( $equal(join(top,join(meet(X_412,zero),join(X_465,complement(X_412)))),join(top,join(meet(X_412,zero),join(X_465,complement(X_412))))) )],[refute_1_1200,refute_1_1201]) ).
cnf(refute_1_1203,plain,
join(top,join(meet(X_412,zero),join(X_465,complement(X_412)))) = join(top,join(complement(X_412),join(meet(X_412,zero),X_465))),
inference(resolve,[$cnf( $equal(join(meet(X_412,zero),join(X_465,complement(X_412))),join(complement(X_412),join(meet(X_412,zero),X_465))) )],[refute_1_1199,refute_1_1202]) ).
cnf(refute_1_1204,plain,
join(meet(X_412,zero),join(join(X_465,complement(X_412)),top)) = join(top,join(meet(X_412,zero),join(X_465,complement(X_412)))),
inference(subst,[],[refute_1_609:[bind(X0,$fot(top)),bind(X_465,$fot(meet(X_412,zero))),bind(X_466,$fot(join(X_465,complement(X_412))))]]) ).
cnf(refute_1_1205,plain,
join(join(X_465,complement(X_412)),join(top,meet(X_412,zero))) = join(meet(X_412,zero),join(join(X_465,complement(X_412)),top)),
inference(subst,[],[refute_1_609:[bind(X0,$fot(meet(X_412,zero))),bind(X_465,$fot(join(X_465,complement(X_412)))),bind(X_466,$fot(top))]]) ).
cnf(refute_1_1206,plain,
( join(join(X_465,complement(X_412)),join(top,meet(X_412,zero))) != join(meet(X_412,zero),join(join(X_465,complement(X_412)),top))
| join(meet(X_412,zero),join(join(X_465,complement(X_412)),top)) != join(top,join(meet(X_412,zero),join(X_465,complement(X_412))))
| join(join(X_465,complement(X_412)),join(top,meet(X_412,zero))) = join(top,join(meet(X_412,zero),join(X_465,complement(X_412)))) ),
inference(subst,[],[refute_1_52:[bind(X,$fot(join(join(X_465,complement(X_412)),join(top,meet(X_412,zero))))),bind(Y,$fot(join(meet(X_412,zero),join(join(X_465,complement(X_412)),top)))),bind(Z,$fot(join(top,join(meet(X_412,zero),join(X_465,complement(X_412))))))]]) ).
cnf(refute_1_1207,plain,
( join(meet(X_412,zero),join(join(X_465,complement(X_412)),top)) != join(top,join(meet(X_412,zero),join(X_465,complement(X_412))))
| join(join(X_465,complement(X_412)),join(top,meet(X_412,zero))) = join(top,join(meet(X_412,zero),join(X_465,complement(X_412)))) ),
inference(resolve,[$cnf( $equal(join(join(X_465,complement(X_412)),join(top,meet(X_412,zero))),join(meet(X_412,zero),join(join(X_465,complement(X_412)),top))) )],[refute_1_1205,refute_1_1206]) ).
cnf(refute_1_1208,plain,
join(join(X_465,complement(X_412)),join(top,meet(X_412,zero))) = join(top,join(meet(X_412,zero),join(X_465,complement(X_412)))),
inference(resolve,[$cnf( $equal(join(meet(X_412,zero),join(join(X_465,complement(X_412)),top)),join(top,join(meet(X_412,zero),join(X_465,complement(X_412))))) )],[refute_1_1204,refute_1_1207]) ).
cnf(refute_1_1209,plain,
( join(join(X_465,complement(X_412)),join(top,meet(X_412,zero))) != join(top,join(meet(X_412,zero),join(X_465,complement(X_412))))
| join(top,join(meet(X_412,zero),join(X_465,complement(X_412)))) != join(top,join(complement(X_412),join(meet(X_412,zero),X_465)))
| join(join(X_465,complement(X_412)),join(top,meet(X_412,zero))) = join(top,join(complement(X_412),join(meet(X_412,zero),X_465))) ),
inference(subst,[],[refute_1_52:[bind(X,$fot(join(join(X_465,complement(X_412)),join(top,meet(X_412,zero))))),bind(Y,$fot(join(top,join(meet(X_412,zero),join(X_465,complement(X_412)))))),bind(Z,$fot(join(top,join(complement(X_412),join(meet(X_412,zero),X_465)))))]]) ).
cnf(refute_1_1210,plain,
( join(top,join(meet(X_412,zero),join(X_465,complement(X_412)))) != join(top,join(complement(X_412),join(meet(X_412,zero),X_465)))
| join(join(X_465,complement(X_412)),join(top,meet(X_412,zero))) = join(top,join(complement(X_412),join(meet(X_412,zero),X_465))) ),
inference(resolve,[$cnf( $equal(join(join(X_465,complement(X_412)),join(top,meet(X_412,zero))),join(top,join(meet(X_412,zero),join(X_465,complement(X_412))))) )],[refute_1_1208,refute_1_1209]) ).
cnf(refute_1_1211,plain,
join(join(X_465,complement(X_412)),join(top,meet(X_412,zero))) = join(top,join(complement(X_412),join(meet(X_412,zero),X_465))),
inference(resolve,[$cnf( $equal(join(top,join(meet(X_412,zero),join(X_465,complement(X_412)))),join(top,join(complement(X_412),join(meet(X_412,zero),X_465)))) )],[refute_1_1203,refute_1_1210]) ).
cnf(refute_1_1212,plain,
( join(X_465,top) != join(join(X_465,complement(X_412)),join(top,meet(X_412,zero)))
| join(join(X_465,complement(X_412)),join(top,meet(X_412,zero))) != join(top,join(complement(X_412),join(meet(X_412,zero),X_465)))
| join(X_465,top) = join(top,join(complement(X_412),join(meet(X_412,zero),X_465))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_465,top),join(top,join(complement(X_412),join(meet(X_412,zero),X_465)))) ),[0],$fot(join(join(X_465,complement(X_412)),join(top,meet(X_412,zero))))]]) ).
cnf(refute_1_1213,plain,
( join(X_465,top) != join(join(X_465,complement(X_412)),join(top,meet(X_412,zero)))
| join(X_465,top) = join(top,join(complement(X_412),join(meet(X_412,zero),X_465))) ),
inference(resolve,[$cnf( $equal(join(join(X_465,complement(X_412)),join(top,meet(X_412,zero))),join(top,join(complement(X_412),join(meet(X_412,zero),X_465)))) )],[refute_1_1211,refute_1_1212]) ).
cnf(refute_1_1214,plain,
join(X_465,top) = join(top,join(complement(X_412),join(meet(X_412,zero),X_465))),
inference(resolve,[$cnf( $equal(join(X_465,top),join(join(X_465,complement(X_412)),join(top,meet(X_412,zero)))) )],[refute_1_1198,refute_1_1213]) ).
cnf(refute_1_1215,plain,
top = join(meet(top,join(X_445,complement(complement(X_445)))),complement(meet(top,join(X_445,complement(complement(X_445)))))),
inference(subst,[],[refute_1_70:[bind(X0,$fot(meet(top,join(X_445,complement(complement(X_445))))))]]) ).
cnf(refute_1_1216,plain,
complement(X_445) = complement(meet(top,join(X_445,complement(complement(X_445))))),
inference(subst,[],[refute_1_490:[bind(X_444,$fot(X_445))]]) ).
cnf(refute_1_1217,plain,
( complement(X_445) != complement(meet(top,join(X_445,complement(complement(X_445)))))
| complement(meet(top,join(X_445,complement(complement(X_445))))) = complement(X_445) ),
inference(subst,[],[refute_1_5:[bind(X,$fot(complement(X_445))),bind(Y,$fot(complement(meet(top,join(X_445,complement(complement(X_445)))))))]]) ).
cnf(refute_1_1218,plain,
complement(meet(top,join(X_445,complement(complement(X_445))))) = complement(X_445),
inference(resolve,[$cnf( $equal(complement(X_445),complement(meet(top,join(X_445,complement(complement(X_445)))))) )],[refute_1_1216,refute_1_1217]) ).
cnf(refute_1_1219,plain,
( complement(meet(top,join(X_445,complement(complement(X_445))))) != complement(X_445)
| top != join(meet(top,join(X_445,complement(complement(X_445)))),complement(meet(top,join(X_445,complement(complement(X_445))))))
| top = join(meet(top,join(X_445,complement(complement(X_445)))),complement(X_445)) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(meet(top,join(X_445,complement(complement(X_445)))),complement(meet(top,join(X_445,complement(complement(X_445))))))) ),[1,1],$fot(complement(X_445))]]) ).
cnf(refute_1_1220,plain,
( top != join(meet(top,join(X_445,complement(complement(X_445)))),complement(meet(top,join(X_445,complement(complement(X_445))))))
| top = join(meet(top,join(X_445,complement(complement(X_445)))),complement(X_445)) ),
inference(resolve,[$cnf( $equal(complement(meet(top,join(X_445,complement(complement(X_445))))),complement(X_445)) )],[refute_1_1218,refute_1_1219]) ).
cnf(refute_1_1221,plain,
top = join(meet(top,join(X_445,complement(complement(X_445)))),complement(X_445)),
inference(resolve,[$cnf( $equal(top,join(meet(top,join(X_445,complement(complement(X_445)))),complement(meet(top,join(X_445,complement(complement(X_445))))))) )],[refute_1_1215,refute_1_1220]) ).
cnf(refute_1_1222,plain,
join(meet(top,join(X_445,complement(complement(X_445)))),complement(X_445)) = join(complement(X_445),meet(top,join(X_445,complement(complement(X_445))))),
inference(subst,[],[refute_1_7:[bind(X0,$fot(complement(X_445))),bind(X1,$fot(meet(top,join(X_445,complement(complement(X_445))))))]]) ).
cnf(refute_1_1223,plain,
( join(meet(top,join(X_445,complement(complement(X_445)))),complement(X_445)) != join(complement(X_445),meet(top,join(X_445,complement(complement(X_445)))))
| top != join(meet(top,join(X_445,complement(complement(X_445)))),complement(X_445))
| top = join(complement(X_445),meet(top,join(X_445,complement(complement(X_445))))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(meet(top,join(X_445,complement(complement(X_445)))),complement(X_445))) ),[1],$fot(join(complement(X_445),meet(top,join(X_445,complement(complement(X_445))))))]]) ).
cnf(refute_1_1224,plain,
( top != join(meet(top,join(X_445,complement(complement(X_445)))),complement(X_445))
| top = join(complement(X_445),meet(top,join(X_445,complement(complement(X_445))))) ),
inference(resolve,[$cnf( $equal(join(meet(top,join(X_445,complement(complement(X_445)))),complement(X_445)),join(complement(X_445),meet(top,join(X_445,complement(complement(X_445)))))) )],[refute_1_1222,refute_1_1223]) ).
cnf(refute_1_1225,plain,
top = join(complement(X_445),meet(top,join(X_445,complement(complement(X_445))))),
inference(resolve,[$cnf( $equal(top,join(meet(top,join(X_445,complement(complement(X_445)))),complement(X_445))) )],[refute_1_1221,refute_1_1224]) ).
cnf(refute_1_1226,plain,
join(X_465,join(complement(X_465),X_467)) = join(join(X_465,complement(X_465)),X_467),
inference(subst,[],[refute_1_160:[bind(X0,$fot(X_465)),bind(X1,$fot(complement(X_465))),bind(X2,$fot(X_467))]]) ).
cnf(refute_1_1227,plain,
top = join(X_465,complement(X_465)),
inference(subst,[],[refute_1_70:[bind(X0,$fot(X_465))]]) ).
cnf(refute_1_1228,plain,
( top != join(X_465,complement(X_465))
| join(X_465,complement(X_465)) = top ),
inference(subst,[],[refute_1_5:[bind(X,$fot(top)),bind(Y,$fot(join(X_465,complement(X_465))))]]) ).
cnf(refute_1_1229,plain,
join(X_465,complement(X_465)) = top,
inference(resolve,[$cnf( $equal(top,join(X_465,complement(X_465))) )],[refute_1_1227,refute_1_1228]) ).
cnf(refute_1_1230,plain,
( join(X_465,complement(X_465)) != top
| join(X_465,join(complement(X_465),X_467)) != join(join(X_465,complement(X_465)),X_467)
| join(X_465,join(complement(X_465),X_467)) = join(top,X_467) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_465,join(complement(X_465),X_467)),join(join(X_465,complement(X_465)),X_467)) ),[1,0],$fot(top)]]) ).
cnf(refute_1_1231,plain,
( join(X_465,join(complement(X_465),X_467)) != join(join(X_465,complement(X_465)),X_467)
| join(X_465,join(complement(X_465),X_467)) = join(top,X_467) ),
inference(resolve,[$cnf( $equal(join(X_465,complement(X_465)),top) )],[refute_1_1229,refute_1_1230]) ).
cnf(refute_1_1232,plain,
join(X_465,join(complement(X_465),X_467)) = join(top,X_467),
inference(resolve,[$cnf( $equal(join(X_465,join(complement(X_465),X_467)),join(join(X_465,complement(X_465)),X_467)) )],[refute_1_1226,refute_1_1231]) ).
cnf(refute_1_1233,plain,
join(X_445,join(complement(X_445),X_445)) = join(top,X_445),
inference(subst,[],[refute_1_1232:[bind(X_465,$fot(X_445)),bind(X_467,$fot(X_445))]]) ).
cnf(refute_1_1234,plain,
join(complement(X_445),join(X_445,X_445)) = join(X_445,join(complement(X_445),X_445)),
inference(subst,[],[refute_1_649:[bind(X_465,$fot(X_445)),bind(X_466,$fot(complement(X_445))),bind(X_467,$fot(X_445))]]) ).
cnf(refute_1_1235,plain,
( join(X_445,join(complement(X_445),X_445)) != join(top,X_445)
| join(complement(X_445),join(X_445,X_445)) != join(X_445,join(complement(X_445),X_445))
| join(complement(X_445),join(X_445,X_445)) = join(top,X_445) ),
inference(subst,[],[refute_1_52:[bind(X,$fot(join(complement(X_445),join(X_445,X_445)))),bind(Y,$fot(join(X_445,join(complement(X_445),X_445)))),bind(Z,$fot(join(top,X_445)))]]) ).
cnf(refute_1_1236,plain,
( join(X_445,join(complement(X_445),X_445)) != join(top,X_445)
| join(complement(X_445),join(X_445,X_445)) = join(top,X_445) ),
inference(resolve,[$cnf( $equal(join(complement(X_445),join(X_445,X_445)),join(X_445,join(complement(X_445),X_445))) )],[refute_1_1234,refute_1_1235]) ).
cnf(refute_1_1237,plain,
join(complement(X_445),join(X_445,X_445)) = join(top,X_445),
inference(resolve,[$cnf( $equal(join(X_445,join(complement(X_445),X_445)),join(top,X_445)) )],[refute_1_1233,refute_1_1236]) ).
cnf(refute_1_1238,plain,
X0 = join(meet(X0,meet(top,complement(X0))),complement(join(complement(X0),meet(top,complement(X0))))),
inference(subst,[],[refute_1_114:[bind(X1,$fot(meet(top,complement(X0))))]]) ).
cnf(refute_1_1239,plain,
( X0 != join(meet(X0,meet(top,complement(X0))),complement(join(complement(X0),meet(top,complement(X0)))))
| meet(X0,meet(top,complement(X0))) != zero
| X0 = join(zero,complement(join(complement(X0),meet(top,complement(X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(X0,join(meet(X0,meet(top,complement(X0))),complement(join(complement(X0),meet(top,complement(X0)))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_1_1240,plain,
( X0 != join(meet(X0,meet(top,complement(X0))),complement(join(complement(X0),meet(top,complement(X0)))))
| X0 = join(zero,complement(join(complement(X0),meet(top,complement(X0))))) ),
inference(resolve,[$cnf( $equal(meet(X0,meet(top,complement(X0))),zero) )],[refute_1_399,refute_1_1239]) ).
cnf(refute_1_1241,plain,
X0 = join(zero,complement(join(complement(X0),meet(top,complement(X0))))),
inference(resolve,[$cnf( $equal(X0,join(meet(X0,meet(top,complement(X0))),complement(join(complement(X0),meet(top,complement(X0)))))) )],[refute_1_1238,refute_1_1240]) ).
cnf(refute_1_1242,plain,
join(zero,complement(join(complement(X0),meet(top,complement(X0))))) = complement(meet(top,join(complement(X0),meet(top,complement(X0))))),
inference(subst,[],[refute_1_382:[bind(X_411,$fot(join(complement(X0),meet(top,complement(X0)))))]]) ).
cnf(refute_1_1243,plain,
( X0 != join(zero,complement(join(complement(X0),meet(top,complement(X0)))))
| join(zero,complement(join(complement(X0),meet(top,complement(X0))))) != complement(meet(top,join(complement(X0),meet(top,complement(X0)))))
| X0 = complement(meet(top,join(complement(X0),meet(top,complement(X0))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X0,complement(meet(top,join(complement(X0),meet(top,complement(X0)))))) ),[0],$fot(join(zero,complement(join(complement(X0),meet(top,complement(X0))))))]]) ).
cnf(refute_1_1244,plain,
( X0 != join(zero,complement(join(complement(X0),meet(top,complement(X0)))))
| X0 = complement(meet(top,join(complement(X0),meet(top,complement(X0))))) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(complement(X0),meet(top,complement(X0))))),complement(meet(top,join(complement(X0),meet(top,complement(X0)))))) )],[refute_1_1242,refute_1_1243]) ).
cnf(refute_1_1245,plain,
X0 = complement(meet(top,join(complement(X0),meet(top,complement(X0))))),
inference(resolve,[$cnf( $equal(X0,join(zero,complement(join(complement(X0),meet(top,complement(X0)))))) )],[refute_1_1241,refute_1_1244]) ).
cnf(refute_1_1246,plain,
complement(meet(X0,X0)) = complement(X0),
inference(subst,[],[refute_1_517:[bind(X_474,$fot(X0))]]) ).
cnf(refute_1_1247,plain,
join(complement(X0),complement(X0)) = complement(meet(X0,X0)),
inference(subst,[],[refute_1_496:[bind(X1,$fot(X0))]]) ).
cnf(refute_1_1248,plain,
( complement(meet(X0,X0)) != complement(X0)
| join(complement(X0),complement(X0)) != complement(meet(X0,X0))
| join(complement(X0),complement(X0)) = complement(X0) ),
inference(subst,[],[refute_1_52:[bind(X,$fot(join(complement(X0),complement(X0)))),bind(Y,$fot(complement(meet(X0,X0)))),bind(Z,$fot(complement(X0)))]]) ).
cnf(refute_1_1249,plain,
( complement(meet(X0,X0)) != complement(X0)
| join(complement(X0),complement(X0)) = complement(X0) ),
inference(resolve,[$cnf( $equal(join(complement(X0),complement(X0)),complement(meet(X0,X0))) )],[refute_1_1247,refute_1_1248]) ).
cnf(refute_1_1250,plain,
join(complement(X0),complement(X0)) = complement(X0),
inference(resolve,[$cnf( $equal(complement(meet(X0,X0)),complement(X0)) )],[refute_1_1246,refute_1_1249]) ).
cnf(refute_1_1251,plain,
meet(top,complement(X0)) = complement(X0),
inference(subst,[],[refute_1_1025:[bind(X_437,$fot(complement(X0)))]]) ).
cnf(refute_1_1252,plain,
join(complement(X0),meet(top,complement(X0))) = join(complement(X0),meet(top,complement(X0))),
introduced(tautology,[refl,[$fot(join(complement(X0),meet(top,complement(X0))))]]) ).
cnf(refute_1_1253,plain,
( join(complement(X0),meet(top,complement(X0))) != join(complement(X0),meet(top,complement(X0)))
| meet(top,complement(X0)) != complement(X0)
| join(complement(X0),meet(top,complement(X0))) = join(complement(X0),complement(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X0),meet(top,complement(X0))),join(complement(X0),meet(top,complement(X0)))) ),[1,1],$fot(complement(X0))]]) ).
cnf(refute_1_1254,plain,
( meet(top,complement(X0)) != complement(X0)
| join(complement(X0),meet(top,complement(X0))) = join(complement(X0),complement(X0)) ),
inference(resolve,[$cnf( $equal(join(complement(X0),meet(top,complement(X0))),join(complement(X0),meet(top,complement(X0)))) )],[refute_1_1252,refute_1_1253]) ).
cnf(refute_1_1255,plain,
join(complement(X0),meet(top,complement(X0))) = join(complement(X0),complement(X0)),
inference(resolve,[$cnf( $equal(meet(top,complement(X0)),complement(X0)) )],[refute_1_1251,refute_1_1254]) ).
cnf(refute_1_1256,plain,
( join(complement(X0),complement(X0)) != complement(X0)
| join(complement(X0),meet(top,complement(X0))) != join(complement(X0),complement(X0))
| join(complement(X0),meet(top,complement(X0))) = complement(X0) ),
inference(subst,[],[refute_1_52:[bind(X,$fot(join(complement(X0),meet(top,complement(X0))))),bind(Y,$fot(join(complement(X0),complement(X0)))),bind(Z,$fot(complement(X0)))]]) ).
cnf(refute_1_1257,plain,
( join(complement(X0),complement(X0)) != complement(X0)
| join(complement(X0),meet(top,complement(X0))) = complement(X0) ),
inference(resolve,[$cnf( $equal(join(complement(X0),meet(top,complement(X0))),join(complement(X0),complement(X0))) )],[refute_1_1255,refute_1_1256]) ).
cnf(refute_1_1258,plain,
join(complement(X0),meet(top,complement(X0))) = complement(X0),
inference(resolve,[$cnf( $equal(join(complement(X0),complement(X0)),complement(X0)) )],[refute_1_1250,refute_1_1257]) ).
cnf(refute_1_1259,plain,
meet(top,join(complement(X0),meet(top,complement(X0)))) = join(complement(X0),meet(top,complement(X0))),
inference(subst,[],[refute_1_1025:[bind(X_437,$fot(join(complement(X0),meet(top,complement(X0)))))]]) ).
cnf(refute_1_1260,plain,
( join(complement(X0),meet(top,complement(X0))) != complement(X0)
| meet(top,join(complement(X0),meet(top,complement(X0)))) != join(complement(X0),meet(top,complement(X0)))
| meet(top,join(complement(X0),meet(top,complement(X0)))) = complement(X0) ),
inference(subst,[],[refute_1_52:[bind(X,$fot(meet(top,join(complement(X0),meet(top,complement(X0)))))),bind(Y,$fot(join(complement(X0),meet(top,complement(X0))))),bind(Z,$fot(complement(X0)))]]) ).
cnf(refute_1_1261,plain,
( join(complement(X0),meet(top,complement(X0))) != complement(X0)
| meet(top,join(complement(X0),meet(top,complement(X0)))) = complement(X0) ),
inference(resolve,[$cnf( $equal(meet(top,join(complement(X0),meet(top,complement(X0)))),join(complement(X0),meet(top,complement(X0)))) )],[refute_1_1259,refute_1_1260]) ).
cnf(refute_1_1262,plain,
meet(top,join(complement(X0),meet(top,complement(X0)))) = complement(X0),
inference(resolve,[$cnf( $equal(join(complement(X0),meet(top,complement(X0))),complement(X0)) )],[refute_1_1258,refute_1_1261]) ).
cnf(refute_1_1263,plain,
complement(meet(top,join(complement(X0),meet(top,complement(X0))))) = complement(meet(top,join(complement(X0),meet(top,complement(X0))))),
introduced(tautology,[refl,[$fot(complement(meet(top,join(complement(X0),meet(top,complement(X0))))))]]) ).
cnf(refute_1_1264,plain,
( complement(meet(top,join(complement(X0),meet(top,complement(X0))))) != complement(meet(top,join(complement(X0),meet(top,complement(X0)))))
| meet(top,join(complement(X0),meet(top,complement(X0)))) != complement(X0)
| complement(meet(top,join(complement(X0),meet(top,complement(X0))))) = complement(complement(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(top,join(complement(X0),meet(top,complement(X0))))),complement(meet(top,join(complement(X0),meet(top,complement(X0)))))) ),[1,0],$fot(complement(X0))]]) ).
cnf(refute_1_1265,plain,
( meet(top,join(complement(X0),meet(top,complement(X0)))) != complement(X0)
| complement(meet(top,join(complement(X0),meet(top,complement(X0))))) = complement(complement(X0)) ),
inference(resolve,[$cnf( $equal(complement(meet(top,join(complement(X0),meet(top,complement(X0))))),complement(meet(top,join(complement(X0),meet(top,complement(X0)))))) )],[refute_1_1263,refute_1_1264]) ).
cnf(refute_1_1266,plain,
complement(meet(top,join(complement(X0),meet(top,complement(X0))))) = complement(complement(X0)),
inference(resolve,[$cnf( $equal(meet(top,join(complement(X0),meet(top,complement(X0)))),complement(X0)) )],[refute_1_1262,refute_1_1265]) ).
cnf(refute_1_1267,plain,
( X0 != complement(meet(top,join(complement(X0),meet(top,complement(X0)))))
| complement(meet(top,join(complement(X0),meet(top,complement(X0))))) != complement(complement(X0))
| X0 = complement(complement(X0)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X0,complement(complement(X0))) ),[0],$fot(complement(meet(top,join(complement(X0),meet(top,complement(X0))))))]]) ).
cnf(refute_1_1268,plain,
( X0 != complement(meet(top,join(complement(X0),meet(top,complement(X0)))))
| X0 = complement(complement(X0)) ),
inference(resolve,[$cnf( $equal(complement(meet(top,join(complement(X0),meet(top,complement(X0))))),complement(complement(X0))) )],[refute_1_1266,refute_1_1267]) ).
cnf(refute_1_1269,plain,
X0 = complement(complement(X0)),
inference(resolve,[$cnf( $equal(X0,complement(meet(top,join(complement(X0),meet(top,complement(X0)))))) )],[refute_1_1245,refute_1_1268]) ).
cnf(refute_1_1270,plain,
( X0 != complement(complement(X0))
| complement(complement(X0)) = X0 ),
inference(subst,[],[refute_1_5:[bind(X,$fot(X0)),bind(Y,$fot(complement(complement(X0))))]]) ).
cnf(refute_1_1271,plain,
complement(complement(X0)) = X0,
inference(resolve,[$cnf( $equal(X0,complement(complement(X0))) )],[refute_1_1269,refute_1_1270]) ).
cnf(refute_1_1272,plain,
complement(complement(X_445)) = X_445,
inference(subst,[],[refute_1_1271:[bind(X0,$fot(X_445))]]) ).
cnf(refute_1_1273,plain,
join(X_445,complement(complement(X_445))) = join(X_445,complement(complement(X_445))),
introduced(tautology,[refl,[$fot(join(X_445,complement(complement(X_445))))]]) ).
cnf(refute_1_1274,plain,
( complement(complement(X_445)) != X_445
| join(X_445,complement(complement(X_445))) != join(X_445,complement(complement(X_445)))
| join(X_445,complement(complement(X_445))) = join(X_445,X_445) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_445,complement(complement(X_445))),join(X_445,complement(complement(X_445)))) ),[1,1],$fot(X_445)]]) ).
cnf(refute_1_1275,plain,
( complement(complement(X_445)) != X_445
| join(X_445,complement(complement(X_445))) = join(X_445,X_445) ),
inference(resolve,[$cnf( $equal(join(X_445,complement(complement(X_445))),join(X_445,complement(complement(X_445)))) )],[refute_1_1273,refute_1_1274]) ).
cnf(refute_1_1276,plain,
join(X_445,complement(complement(X_445))) = join(X_445,X_445),
inference(resolve,[$cnf( $equal(complement(complement(X_445)),X_445) )],[refute_1_1272,refute_1_1275]) ).
cnf(refute_1_1277,plain,
meet(top,join(X_445,complement(complement(X_445)))) = join(X_445,complement(complement(X_445))),
inference(subst,[],[refute_1_1025:[bind(X_437,$fot(join(X_445,complement(complement(X_445)))))]]) ).
cnf(refute_1_1278,plain,
( join(X_445,complement(complement(X_445))) != join(X_445,X_445)
| meet(top,join(X_445,complement(complement(X_445)))) != join(X_445,complement(complement(X_445)))
| meet(top,join(X_445,complement(complement(X_445)))) = join(X_445,X_445) ),
inference(subst,[],[refute_1_52:[bind(X,$fot(meet(top,join(X_445,complement(complement(X_445)))))),bind(Y,$fot(join(X_445,complement(complement(X_445))))),bind(Z,$fot(join(X_445,X_445)))]]) ).
cnf(refute_1_1279,plain,
( join(X_445,complement(complement(X_445))) != join(X_445,X_445)
| meet(top,join(X_445,complement(complement(X_445)))) = join(X_445,X_445) ),
inference(resolve,[$cnf( $equal(meet(top,join(X_445,complement(complement(X_445)))),join(X_445,complement(complement(X_445)))) )],[refute_1_1277,refute_1_1278]) ).
cnf(refute_1_1280,plain,
meet(top,join(X_445,complement(complement(X_445)))) = join(X_445,X_445),
inference(resolve,[$cnf( $equal(join(X_445,complement(complement(X_445))),join(X_445,X_445)) )],[refute_1_1276,refute_1_1279]) ).
cnf(refute_1_1281,plain,
join(complement(X_445),meet(top,join(X_445,complement(complement(X_445))))) = join(complement(X_445),meet(top,join(X_445,complement(complement(X_445))))),
introduced(tautology,[refl,[$fot(join(complement(X_445),meet(top,join(X_445,complement(complement(X_445))))))]]) ).
cnf(refute_1_1282,plain,
( join(complement(X_445),meet(top,join(X_445,complement(complement(X_445))))) != join(complement(X_445),meet(top,join(X_445,complement(complement(X_445)))))
| meet(top,join(X_445,complement(complement(X_445)))) != join(X_445,X_445)
| join(complement(X_445),meet(top,join(X_445,complement(complement(X_445))))) = join(complement(X_445),join(X_445,X_445)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_445),meet(top,join(X_445,complement(complement(X_445))))),join(complement(X_445),meet(top,join(X_445,complement(complement(X_445)))))) ),[1,1],$fot(join(X_445,X_445))]]) ).
cnf(refute_1_1283,plain,
( meet(top,join(X_445,complement(complement(X_445)))) != join(X_445,X_445)
| join(complement(X_445),meet(top,join(X_445,complement(complement(X_445))))) = join(complement(X_445),join(X_445,X_445)) ),
inference(resolve,[$cnf( $equal(join(complement(X_445),meet(top,join(X_445,complement(complement(X_445))))),join(complement(X_445),meet(top,join(X_445,complement(complement(X_445)))))) )],[refute_1_1281,refute_1_1282]) ).
cnf(refute_1_1284,plain,
join(complement(X_445),meet(top,join(X_445,complement(complement(X_445))))) = join(complement(X_445),join(X_445,X_445)),
inference(resolve,[$cnf( $equal(meet(top,join(X_445,complement(complement(X_445)))),join(X_445,X_445)) )],[refute_1_1280,refute_1_1283]) ).
cnf(refute_1_1285,plain,
( join(complement(X_445),join(X_445,X_445)) != join(top,X_445)
| join(complement(X_445),meet(top,join(X_445,complement(complement(X_445))))) != join(complement(X_445),join(X_445,X_445))
| join(complement(X_445),meet(top,join(X_445,complement(complement(X_445))))) = join(top,X_445) ),
inference(subst,[],[refute_1_52:[bind(X,$fot(join(complement(X_445),meet(top,join(X_445,complement(complement(X_445))))))),bind(Y,$fot(join(complement(X_445),join(X_445,X_445)))),bind(Z,$fot(join(top,X_445)))]]) ).
cnf(refute_1_1286,plain,
( join(complement(X_445),join(X_445,X_445)) != join(top,X_445)
| join(complement(X_445),meet(top,join(X_445,complement(complement(X_445))))) = join(top,X_445) ),
inference(resolve,[$cnf( $equal(join(complement(X_445),meet(top,join(X_445,complement(complement(X_445))))),join(complement(X_445),join(X_445,X_445))) )],[refute_1_1284,refute_1_1285]) ).
cnf(refute_1_1287,plain,
join(complement(X_445),meet(top,join(X_445,complement(complement(X_445))))) = join(top,X_445),
inference(resolve,[$cnf( $equal(join(complement(X_445),join(X_445,X_445)),join(top,X_445)) )],[refute_1_1237,refute_1_1286]) ).
cnf(refute_1_1288,plain,
( join(complement(X_445),meet(top,join(X_445,complement(complement(X_445))))) != join(top,X_445)
| top != join(complement(X_445),meet(top,join(X_445,complement(complement(X_445)))))
| top = join(top,X_445) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(X_445),meet(top,join(X_445,complement(complement(X_445)))))) ),[1],$fot(join(top,X_445))]]) ).
cnf(refute_1_1289,plain,
( top != join(complement(X_445),meet(top,join(X_445,complement(complement(X_445)))))
| top = join(top,X_445) ),
inference(resolve,[$cnf( $equal(join(complement(X_445),meet(top,join(X_445,complement(complement(X_445))))),join(top,X_445)) )],[refute_1_1287,refute_1_1288]) ).
cnf(refute_1_1290,plain,
top = join(top,X_445),
inference(resolve,[$cnf( $equal(top,join(complement(X_445),meet(top,join(X_445,complement(complement(X_445)))))) )],[refute_1_1225,refute_1_1289]) ).
cnf(refute_1_1291,plain,
( top != join(top,X_445)
| join(top,X_445) = top ),
inference(subst,[],[refute_1_5:[bind(X,$fot(top)),bind(Y,$fot(join(top,X_445)))]]) ).
cnf(refute_1_1292,plain,
join(top,X_445) = top,
inference(resolve,[$cnf( $equal(top,join(top,X_445)) )],[refute_1_1290,refute_1_1291]) ).
cnf(refute_1_1293,plain,
join(top,join(complement(X_412),join(meet(X_412,zero),X_465))) = top,
inference(subst,[],[refute_1_1292:[bind(X_445,$fot(join(complement(X_412),join(meet(X_412,zero),X_465))))]]) ).
cnf(refute_1_1294,plain,
( join(X_465,top) != join(top,join(complement(X_412),join(meet(X_412,zero),X_465)))
| join(top,join(complement(X_412),join(meet(X_412,zero),X_465))) != top
| join(X_465,top) = top ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_465,top),top) ),[0],$fot(join(top,join(complement(X_412),join(meet(X_412,zero),X_465))))]]) ).
cnf(refute_1_1295,plain,
( join(X_465,top) != join(top,join(complement(X_412),join(meet(X_412,zero),X_465)))
| join(X_465,top) = top ),
inference(resolve,[$cnf( $equal(join(top,join(complement(X_412),join(meet(X_412,zero),X_465))),top) )],[refute_1_1293,refute_1_1294]) ).
cnf(refute_1_1296,plain,
join(X_465,top) = top,
inference(resolve,[$cnf( $equal(join(X_465,top),join(top,join(complement(X_412),join(meet(X_412,zero),X_465)))) )],[refute_1_1214,refute_1_1295]) ).
cnf(refute_1_1297,plain,
join(X_510,top) = top,
inference(subst,[],[refute_1_1296:[bind(X_465,$fot(X_510))]]) ).
cnf(refute_1_1298,plain,
composition(join(X_510,top),complement(composition(top,top))) = composition(join(X_510,top),complement(composition(top,top))),
introduced(tautology,[refl,[$fot(composition(join(X_510,top),complement(composition(top,top))))]]) ).
cnf(refute_1_1299,plain,
( composition(join(X_510,top),complement(composition(top,top))) != composition(join(X_510,top),complement(composition(top,top)))
| join(X_510,top) != top
| composition(join(X_510,top),complement(composition(top,top))) = composition(top,complement(composition(top,top))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X_510,top),complement(composition(top,top))),composition(join(X_510,top),complement(composition(top,top)))) ),[1,0],$fot(top)]]) ).
cnf(refute_1_1300,plain,
( join(X_510,top) != top
| composition(join(X_510,top),complement(composition(top,top))) = composition(top,complement(composition(top,top))) ),
inference(resolve,[$cnf( $equal(composition(join(X_510,top),complement(composition(top,top))),composition(join(X_510,top),complement(composition(top,top)))) )],[refute_1_1298,refute_1_1299]) ).
cnf(refute_1_1301,plain,
composition(join(X_510,top),complement(composition(top,top))) = composition(top,complement(composition(top,top))),
inference(resolve,[$cnf( $equal(join(X_510,top),top) )],[refute_1_1297,refute_1_1300]) ).
cnf(refute_1_1302,plain,
( composition(join(X_510,top),complement(composition(top,top))) != composition(top,complement(composition(top,top)))
| composition(top,complement(composition(top,top))) != zero
| composition(join(X_510,top),complement(composition(top,top))) = zero ),
inference(subst,[],[refute_1_52:[bind(X,$fot(composition(join(X_510,top),complement(composition(top,top))))),bind(Y,$fot(composition(top,complement(composition(top,top))))),bind(Z,$fot(zero))]]) ).
cnf(refute_1_1303,plain,
( composition(top,complement(composition(top,top))) != zero
| composition(join(X_510,top),complement(composition(top,top))) = zero ),
inference(resolve,[$cnf( $equal(composition(join(X_510,top),complement(composition(top,top))),composition(top,complement(composition(top,top)))) )],[refute_1_1301,refute_1_1302]) ).
cnf(refute_1_1304,plain,
composition(join(X_510,top),complement(composition(top,top))) = zero,
inference(resolve,[$cnf( $equal(composition(top,complement(composition(top,top))),zero) )],[refute_1_1161,refute_1_1303]) ).
cnf(refute_1_1305,plain,
( composition(join(X_510,top),complement(composition(top,top))) != join(composition(X_510,complement(composition(top,top))),zero)
| composition(join(X_510,top),complement(composition(top,top))) != zero
| zero = join(composition(X_510,complement(composition(top,top))),zero) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X_510,top),complement(composition(top,top))),join(composition(X_510,complement(composition(top,top))),zero)) ),[0],$fot(zero)]]) ).
cnf(refute_1_1306,plain,
( composition(join(X_510,top),complement(composition(top,top))) != join(composition(X_510,complement(composition(top,top))),zero)
| zero = join(composition(X_510,complement(composition(top,top))),zero) ),
inference(resolve,[$cnf( $equal(composition(join(X_510,top),complement(composition(top,top))),zero) )],[refute_1_1304,refute_1_1305]) ).
cnf(refute_1_1307,plain,
X_428 = join(meet(top,X_428),meet(zero,X_428)),
inference(subst,[],[refute_1_272:[bind(X_417,$fot(X_428))]]) ).
cnf(refute_1_1308,plain,
meet(X_428,zero) = meet(zero,X_428),
inference(subst,[],[refute_1_198:[bind(X_406,$fot(X_428)),bind(X_407,$fot(zero))]]) ).
cnf(refute_1_1309,plain,
( meet(X_428,zero) != meet(zero,X_428)
| meet(zero,X_428) = meet(X_428,zero) ),
inference(subst,[],[refute_1_5:[bind(X,$fot(meet(X_428,zero))),bind(Y,$fot(meet(zero,X_428)))]]) ).
cnf(refute_1_1310,plain,
meet(zero,X_428) = meet(X_428,zero),
inference(resolve,[$cnf( $equal(meet(X_428,zero),meet(zero,X_428)) )],[refute_1_1308,refute_1_1309]) ).
cnf(refute_1_1311,plain,
( X_428 != join(meet(top,X_428),meet(zero,X_428))
| meet(zero,X_428) != meet(X_428,zero)
| X_428 = join(meet(top,X_428),meet(X_428,zero)) ),
introduced(tautology,[equality,[$cnf( $equal(X_428,join(meet(top,X_428),meet(zero,X_428))) ),[1,1],$fot(meet(X_428,zero))]]) ).
cnf(refute_1_1312,plain,
( X_428 != join(meet(top,X_428),meet(zero,X_428))
| X_428 = join(meet(top,X_428),meet(X_428,zero)) ),
inference(resolve,[$cnf( $equal(meet(zero,X_428),meet(X_428,zero)) )],[refute_1_1310,refute_1_1311]) ).
cnf(refute_1_1313,plain,
X_428 = join(meet(top,X_428),meet(X_428,zero)),
inference(resolve,[$cnf( $equal(X_428,join(meet(top,X_428),meet(zero,X_428))) )],[refute_1_1307,refute_1_1312]) ).
cnf(refute_1_1314,plain,
meet(top,X_428) = X_428,
inference(subst,[],[refute_1_1025:[bind(X_437,$fot(X_428))]]) ).
cnf(refute_1_1315,plain,
join(meet(top,X_428),meet(X_428,zero)) = join(meet(top,X_428),meet(X_428,zero)),
introduced(tautology,[refl,[$fot(join(meet(top,X_428),meet(X_428,zero)))]]) ).
cnf(refute_1_1316,plain,
( join(meet(top,X_428),meet(X_428,zero)) != join(meet(top,X_428),meet(X_428,zero))
| meet(top,X_428) != X_428
| join(meet(top,X_428),meet(X_428,zero)) = join(X_428,meet(X_428,zero)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(top,X_428),meet(X_428,zero)),join(meet(top,X_428),meet(X_428,zero))) ),[1,0],$fot(X_428)]]) ).
cnf(refute_1_1317,plain,
( meet(top,X_428) != X_428
| join(meet(top,X_428),meet(X_428,zero)) = join(X_428,meet(X_428,zero)) ),
inference(resolve,[$cnf( $equal(join(meet(top,X_428),meet(X_428,zero)),join(meet(top,X_428),meet(X_428,zero))) )],[refute_1_1315,refute_1_1316]) ).
cnf(refute_1_1318,plain,
join(meet(top,X_428),meet(X_428,zero)) = join(X_428,meet(X_428,zero)),
inference(resolve,[$cnf( $equal(meet(top,X_428),X_428) )],[refute_1_1314,refute_1_1317]) ).
cnf(refute_1_1319,plain,
( X_428 != join(meet(top,X_428),meet(X_428,zero))
| join(meet(top,X_428),meet(X_428,zero)) != join(X_428,meet(X_428,zero))
| X_428 = join(X_428,meet(X_428,zero)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_428,join(X_428,meet(X_428,zero))) ),[0],$fot(join(meet(top,X_428),meet(X_428,zero)))]]) ).
cnf(refute_1_1320,plain,
( X_428 != join(meet(top,X_428),meet(X_428,zero))
| X_428 = join(X_428,meet(X_428,zero)) ),
inference(resolve,[$cnf( $equal(join(meet(top,X_428),meet(X_428,zero)),join(X_428,meet(X_428,zero))) )],[refute_1_1318,refute_1_1319]) ).
cnf(refute_1_1321,plain,
X_428 = join(X_428,meet(X_428,zero)),
inference(resolve,[$cnf( $equal(X_428,join(meet(top,X_428),meet(X_428,zero))) )],[refute_1_1313,refute_1_1320]) ).
cnf(refute_1_1322,plain,
zero = join(meet(X_444,zero),complement(join(complement(zero),X_444))),
inference(subst,[],[refute_1_280:[bind(X_417,$fot(zero)),bind(X_418,$fot(X_444))]]) ).
cnf(refute_1_1323,plain,
( complement(zero) != top
| zero != join(meet(X_444,zero),complement(join(complement(zero),X_444)))
| zero = join(meet(X_444,zero),complement(join(top,X_444))) ),
introduced(tautology,[equality,[$cnf( $equal(zero,join(meet(X_444,zero),complement(join(complement(zero),X_444)))) ),[1,1,0,0],$fot(top)]]) ).
cnf(refute_1_1324,plain,
( zero != join(meet(X_444,zero),complement(join(complement(zero),X_444)))
| zero = join(meet(X_444,zero),complement(join(top,X_444))) ),
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_1_259,refute_1_1323]) ).
cnf(refute_1_1325,plain,
zero = join(meet(X_444,zero),complement(join(top,X_444))),
inference(resolve,[$cnf( $equal(zero,join(meet(X_444,zero),complement(join(complement(zero),X_444)))) )],[refute_1_1322,refute_1_1324]) ).
cnf(refute_1_1326,plain,
join(zero,meet(X_444,zero)) = meet(X_444,zero),
inference(subst,[],[refute_1_1035:[bind(X_417,$fot(meet(X_444,zero)))]]) ).
cnf(refute_1_1327,plain,
join(meet(X_444,zero),zero) = join(zero,meet(X_444,zero)),
inference(subst,[],[refute_1_7:[bind(X0,$fot(zero)),bind(X1,$fot(meet(X_444,zero)))]]) ).
cnf(refute_1_1328,plain,
( join(meet(X_444,zero),zero) != join(zero,meet(X_444,zero))
| join(zero,meet(X_444,zero)) != meet(X_444,zero)
| join(meet(X_444,zero),zero) = meet(X_444,zero) ),
inference(subst,[],[refute_1_52:[bind(X,$fot(join(meet(X_444,zero),zero))),bind(Y,$fot(join(zero,meet(X_444,zero)))),bind(Z,$fot(meet(X_444,zero)))]]) ).
cnf(refute_1_1329,plain,
( join(zero,meet(X_444,zero)) != meet(X_444,zero)
| join(meet(X_444,zero),zero) = meet(X_444,zero) ),
inference(resolve,[$cnf( $equal(join(meet(X_444,zero),zero),join(zero,meet(X_444,zero))) )],[refute_1_1327,refute_1_1328]) ).
cnf(refute_1_1330,plain,
join(meet(X_444,zero),zero) = meet(X_444,zero),
inference(resolve,[$cnf( $equal(join(zero,meet(X_444,zero)),meet(X_444,zero)) )],[refute_1_1326,refute_1_1329]) ).
cnf(refute_1_1331,plain,
join(zero,zero) = join(meet(join(zero,zero),X_418),complement(join(complement(join(zero,zero)),X_418))),
inference(subst,[],[refute_1_114:[bind(X0,$fot(join(zero,zero))),bind(X1,$fot(X_418))]]) ).
cnf(refute_1_1332,plain,
( complement(join(zero,zero)) != meet(top,top)
| join(zero,zero) != join(meet(join(zero,zero),X_418),complement(join(complement(join(zero,zero)),X_418)))
| join(zero,zero) = join(meet(join(zero,zero),X_418),complement(join(meet(top,top),X_418))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,zero),join(meet(join(zero,zero),X_418),complement(join(complement(join(zero,zero)),X_418)))) ),[1,1,0,0],$fot(meet(top,top))]]) ).
cnf(refute_1_1333,plain,
( join(zero,zero) != join(meet(join(zero,zero),X_418),complement(join(complement(join(zero,zero)),X_418)))
| join(zero,zero) = join(meet(join(zero,zero),X_418),complement(join(meet(top,top),X_418))) ),
inference(resolve,[$cnf( $equal(complement(join(zero,zero)),meet(top,top)) )],[refute_1_1168,refute_1_1332]) ).
cnf(refute_1_1334,plain,
join(zero,zero) = join(meet(join(zero,zero),X_418),complement(join(meet(top,top),X_418))),
inference(resolve,[$cnf( $equal(join(zero,zero),join(meet(join(zero,zero),X_418),complement(join(complement(join(zero,zero)),X_418)))) )],[refute_1_1331,refute_1_1333]) ).
cnf(refute_1_1335,plain,
( join(zero,zero) != join(meet(join(zero,zero),X_418),complement(join(meet(top,top),X_418)))
| join(zero,zero) != zero
| zero = join(meet(join(zero,zero),X_418),complement(join(meet(top,top),X_418))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,zero),join(meet(join(zero,zero),X_418),complement(join(meet(top,top),X_418)))) ),[0],$fot(zero)]]) ).
cnf(refute_1_1336,plain,
( join(zero,zero) != join(meet(join(zero,zero),X_418),complement(join(meet(top,top),X_418)))
| zero = join(meet(join(zero,zero),X_418),complement(join(meet(top,top),X_418))) ),
inference(resolve,[$cnf( $equal(join(zero,zero),zero) )],[refute_1_801,refute_1_1335]) ).
cnf(refute_1_1337,plain,
join(meet(top,top),X_418) = join(meet(top,top),X_418),
introduced(tautology,[refl,[$fot(join(meet(top,top),X_418))]]) ).
cnf(refute_1_1338,plain,
( join(meet(top,top),X_418) != join(meet(top,top),X_418)
| meet(top,top) != top
| join(meet(top,top),X_418) = join(top,X_418) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(top,top),X_418),join(meet(top,top),X_418)) ),[1,0],$fot(top)]]) ).
cnf(refute_1_1339,plain,
( meet(top,top) != top
| join(meet(top,top),X_418) = join(top,X_418) ),
inference(resolve,[$cnf( $equal(join(meet(top,top),X_418),join(meet(top,top),X_418)) )],[refute_1_1337,refute_1_1338]) ).
cnf(refute_1_1340,plain,
join(meet(top,top),X_418) = join(top,X_418),
inference(resolve,[$cnf( $equal(meet(top,top),top) )],[refute_1_811,refute_1_1339]) ).
cnf(refute_1_1341,plain,
complement(join(meet(top,top),X_418)) = complement(join(meet(top,top),X_418)),
introduced(tautology,[refl,[$fot(complement(join(meet(top,top),X_418)))]]) ).
cnf(refute_1_1342,plain,
( complement(join(meet(top,top),X_418)) != complement(join(meet(top,top),X_418))
| join(meet(top,top),X_418) != join(top,X_418)
| complement(join(meet(top,top),X_418)) = complement(join(top,X_418)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(meet(top,top),X_418)),complement(join(meet(top,top),X_418))) ),[1,0],$fot(join(top,X_418))]]) ).
cnf(refute_1_1343,plain,
( join(meet(top,top),X_418) != join(top,X_418)
| complement(join(meet(top,top),X_418)) = complement(join(top,X_418)) ),
inference(resolve,[$cnf( $equal(complement(join(meet(top,top),X_418)),complement(join(meet(top,top),X_418))) )],[refute_1_1341,refute_1_1342]) ).
cnf(refute_1_1344,plain,
complement(join(meet(top,top),X_418)) = complement(join(top,X_418)),
inference(resolve,[$cnf( $equal(join(meet(top,top),X_418),join(top,X_418)) )],[refute_1_1340,refute_1_1343]) ).
cnf(refute_1_1345,plain,
join(meet(zero,X_418),complement(join(meet(top,top),X_418))) = join(meet(zero,X_418),complement(join(meet(top,top),X_418))),
introduced(tautology,[refl,[$fot(join(meet(zero,X_418),complement(join(meet(top,top),X_418))))]]) ).
cnf(refute_1_1346,plain,
( complement(join(meet(top,top),X_418)) != complement(join(top,X_418))
| join(meet(zero,X_418),complement(join(meet(top,top),X_418))) != join(meet(zero,X_418),complement(join(meet(top,top),X_418)))
| join(meet(zero,X_418),complement(join(meet(top,top),X_418))) = join(meet(zero,X_418),complement(join(top,X_418))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(zero,X_418),complement(join(meet(top,top),X_418))),join(meet(zero,X_418),complement(join(meet(top,top),X_418)))) ),[1,1],$fot(complement(join(top,X_418)))]]) ).
cnf(refute_1_1347,plain,
( complement(join(meet(top,top),X_418)) != complement(join(top,X_418))
| join(meet(zero,X_418),complement(join(meet(top,top),X_418))) = join(meet(zero,X_418),complement(join(top,X_418))) ),
inference(resolve,[$cnf( $equal(join(meet(zero,X_418),complement(join(meet(top,top),X_418))),join(meet(zero,X_418),complement(join(meet(top,top),X_418)))) )],[refute_1_1345,refute_1_1346]) ).
cnf(refute_1_1348,plain,
join(meet(zero,X_418),complement(join(meet(top,top),X_418))) = join(meet(zero,X_418),complement(join(top,X_418))),
inference(resolve,[$cnf( $equal(complement(join(meet(top,top),X_418)),complement(join(top,X_418))) )],[refute_1_1344,refute_1_1347]) ).
cnf(refute_1_1349,plain,
meet(join(zero,zero),X_418) = meet(join(zero,zero),X_418),
introduced(tautology,[refl,[$fot(meet(join(zero,zero),X_418))]]) ).
cnf(refute_1_1350,plain,
( join(zero,zero) != zero
| meet(join(zero,zero),X_418) != meet(join(zero,zero),X_418)
| meet(join(zero,zero),X_418) = meet(zero,X_418) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(zero,zero),X_418),meet(join(zero,zero),X_418)) ),[1,0],$fot(zero)]]) ).
cnf(refute_1_1351,plain,
( join(zero,zero) != zero
| meet(join(zero,zero),X_418) = meet(zero,X_418) ),
inference(resolve,[$cnf( $equal(meet(join(zero,zero),X_418),meet(join(zero,zero),X_418)) )],[refute_1_1349,refute_1_1350]) ).
cnf(refute_1_1352,plain,
meet(join(zero,zero),X_418) = meet(zero,X_418),
inference(resolve,[$cnf( $equal(join(zero,zero),zero) )],[refute_1_801,refute_1_1351]) ).
cnf(refute_1_1353,plain,
join(meet(join(zero,zero),X_418),complement(join(meet(top,top),X_418))) = join(meet(join(zero,zero),X_418),complement(join(meet(top,top),X_418))),
introduced(tautology,[refl,[$fot(join(meet(join(zero,zero),X_418),complement(join(meet(top,top),X_418))))]]) ).
cnf(refute_1_1354,plain,
( join(meet(join(zero,zero),X_418),complement(join(meet(top,top),X_418))) != join(meet(join(zero,zero),X_418),complement(join(meet(top,top),X_418)))
| meet(join(zero,zero),X_418) != meet(zero,X_418)
| join(meet(join(zero,zero),X_418),complement(join(meet(top,top),X_418))) = join(meet(zero,X_418),complement(join(meet(top,top),X_418))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(join(zero,zero),X_418),complement(join(meet(top,top),X_418))),join(meet(join(zero,zero),X_418),complement(join(meet(top,top),X_418)))) ),[1,0],$fot(meet(zero,X_418))]]) ).
cnf(refute_1_1355,plain,
( meet(join(zero,zero),X_418) != meet(zero,X_418)
| join(meet(join(zero,zero),X_418),complement(join(meet(top,top),X_418))) = join(meet(zero,X_418),complement(join(meet(top,top),X_418))) ),
inference(resolve,[$cnf( $equal(join(meet(join(zero,zero),X_418),complement(join(meet(top,top),X_418))),join(meet(join(zero,zero),X_418),complement(join(meet(top,top),X_418)))) )],[refute_1_1353,refute_1_1354]) ).
cnf(refute_1_1356,plain,
join(meet(join(zero,zero),X_418),complement(join(meet(top,top),X_418))) = join(meet(zero,X_418),complement(join(meet(top,top),X_418))),
inference(resolve,[$cnf( $equal(meet(join(zero,zero),X_418),meet(zero,X_418)) )],[refute_1_1352,refute_1_1355]) ).
cnf(refute_1_1357,plain,
( join(meet(join(zero,zero),X_418),complement(join(meet(top,top),X_418))) != join(meet(zero,X_418),complement(join(meet(top,top),X_418)))
| join(meet(zero,X_418),complement(join(meet(top,top),X_418))) != join(meet(zero,X_418),complement(join(top,X_418)))
| join(meet(join(zero,zero),X_418),complement(join(meet(top,top),X_418))) = join(meet(zero,X_418),complement(join(top,X_418))) ),
inference(subst,[],[refute_1_52:[bind(X,$fot(join(meet(join(zero,zero),X_418),complement(join(meet(top,top),X_418))))),bind(Y,$fot(join(meet(zero,X_418),complement(join(meet(top,top),X_418))))),bind(Z,$fot(join(meet(zero,X_418),complement(join(top,X_418)))))]]) ).
cnf(refute_1_1358,plain,
( join(meet(zero,X_418),complement(join(meet(top,top),X_418))) != join(meet(zero,X_418),complement(join(top,X_418)))
| join(meet(join(zero,zero),X_418),complement(join(meet(top,top),X_418))) = join(meet(zero,X_418),complement(join(top,X_418))) ),
inference(resolve,[$cnf( $equal(join(meet(join(zero,zero),X_418),complement(join(meet(top,top),X_418))),join(meet(zero,X_418),complement(join(meet(top,top),X_418)))) )],[refute_1_1356,refute_1_1357]) ).
cnf(refute_1_1359,plain,
join(meet(join(zero,zero),X_418),complement(join(meet(top,top),X_418))) = join(meet(zero,X_418),complement(join(top,X_418))),
inference(resolve,[$cnf( $equal(join(meet(zero,X_418),complement(join(meet(top,top),X_418))),join(meet(zero,X_418),complement(join(top,X_418)))) )],[refute_1_1348,refute_1_1358]) ).
cnf(refute_1_1360,plain,
( join(meet(join(zero,zero),X_418),complement(join(meet(top,top),X_418))) != join(meet(zero,X_418),complement(join(top,X_418)))
| zero != join(meet(join(zero,zero),X_418),complement(join(meet(top,top),X_418)))
| zero = join(meet(zero,X_418),complement(join(top,X_418))) ),
introduced(tautology,[equality,[$cnf( $equal(zero,join(meet(join(zero,zero),X_418),complement(join(meet(top,top),X_418)))) ),[1],$fot(join(meet(zero,X_418),complement(join(top,X_418))))]]) ).
cnf(refute_1_1361,plain,
( zero != join(meet(join(zero,zero),X_418),complement(join(meet(top,top),X_418)))
| zero = join(meet(zero,X_418),complement(join(top,X_418))) ),
inference(resolve,[$cnf( $equal(join(meet(join(zero,zero),X_418),complement(join(meet(top,top),X_418))),join(meet(zero,X_418),complement(join(top,X_418)))) )],[refute_1_1359,refute_1_1360]) ).
cnf(refute_1_1362,plain,
( join(zero,zero) != join(meet(join(zero,zero),X_418),complement(join(meet(top,top),X_418)))
| zero = join(meet(zero,X_418),complement(join(top,X_418))) ),
inference(resolve,[$cnf( $equal(zero,join(meet(join(zero,zero),X_418),complement(join(meet(top,top),X_418)))) )],[refute_1_1336,refute_1_1361]) ).
cnf(refute_1_1363,plain,
zero = join(meet(zero,X_418),complement(join(top,X_418))),
inference(resolve,[$cnf( $equal(join(zero,zero),join(meet(join(zero,zero),X_418),complement(join(meet(top,top),X_418)))) )],[refute_1_1334,refute_1_1362]) ).
cnf(refute_1_1364,plain,
join(zero,complement(join(top,X_418))) = complement(meet(top,join(top,X_418))),
inference(subst,[],[refute_1_382:[bind(X_411,$fot(join(top,X_418)))]]) ).
cnf(refute_1_1365,plain,
meet(zero,X_418) = zero,
inference(subst,[],[refute_1_858:[bind(X_480,$fot(X_418))]]) ).
cnf(refute_1_1366,plain,
join(meet(zero,X_418),complement(join(top,X_418))) = join(meet(zero,X_418),complement(join(top,X_418))),
introduced(tautology,[refl,[$fot(join(meet(zero,X_418),complement(join(top,X_418))))]]) ).
cnf(refute_1_1367,plain,
( join(meet(zero,X_418),complement(join(top,X_418))) != join(meet(zero,X_418),complement(join(top,X_418)))
| meet(zero,X_418) != zero
| join(meet(zero,X_418),complement(join(top,X_418))) = join(zero,complement(join(top,X_418))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(zero,X_418),complement(join(top,X_418))),join(meet(zero,X_418),complement(join(top,X_418)))) ),[1,0],$fot(zero)]]) ).
cnf(refute_1_1368,plain,
( meet(zero,X_418) != zero
| join(meet(zero,X_418),complement(join(top,X_418))) = join(zero,complement(join(top,X_418))) ),
inference(resolve,[$cnf( $equal(join(meet(zero,X_418),complement(join(top,X_418))),join(meet(zero,X_418),complement(join(top,X_418)))) )],[refute_1_1366,refute_1_1367]) ).
cnf(refute_1_1369,plain,
join(meet(zero,X_418),complement(join(top,X_418))) = join(zero,complement(join(top,X_418))),
inference(resolve,[$cnf( $equal(meet(zero,X_418),zero) )],[refute_1_1365,refute_1_1368]) ).
cnf(refute_1_1370,plain,
( join(meet(zero,X_418),complement(join(top,X_418))) != join(zero,complement(join(top,X_418)))
| join(zero,complement(join(top,X_418))) != complement(meet(top,join(top,X_418)))
| join(meet(zero,X_418),complement(join(top,X_418))) = complement(meet(top,join(top,X_418))) ),
inference(subst,[],[refute_1_52:[bind(X,$fot(join(meet(zero,X_418),complement(join(top,X_418))))),bind(Y,$fot(join(zero,complement(join(top,X_418))))),bind(Z,$fot(complement(meet(top,join(top,X_418)))))]]) ).
cnf(refute_1_1371,plain,
( join(zero,complement(join(top,X_418))) != complement(meet(top,join(top,X_418)))
| join(meet(zero,X_418),complement(join(top,X_418))) = complement(meet(top,join(top,X_418))) ),
inference(resolve,[$cnf( $equal(join(meet(zero,X_418),complement(join(top,X_418))),join(zero,complement(join(top,X_418)))) )],[refute_1_1369,refute_1_1370]) ).
cnf(refute_1_1372,plain,
join(meet(zero,X_418),complement(join(top,X_418))) = complement(meet(top,join(top,X_418))),
inference(resolve,[$cnf( $equal(join(zero,complement(join(top,X_418))),complement(meet(top,join(top,X_418)))) )],[refute_1_1364,refute_1_1371]) ).
cnf(refute_1_1373,plain,
( join(meet(zero,X_418),complement(join(top,X_418))) != complement(meet(top,join(top,X_418)))
| zero != join(meet(zero,X_418),complement(join(top,X_418)))
| zero = complement(meet(top,join(top,X_418))) ),
introduced(tautology,[equality,[$cnf( $equal(zero,join(meet(zero,X_418),complement(join(top,X_418)))) ),[1],$fot(complement(meet(top,join(top,X_418))))]]) ).
cnf(refute_1_1374,plain,
( zero != join(meet(zero,X_418),complement(join(top,X_418)))
| zero = complement(meet(top,join(top,X_418))) ),
inference(resolve,[$cnf( $equal(join(meet(zero,X_418),complement(join(top,X_418))),complement(meet(top,join(top,X_418)))) )],[refute_1_1372,refute_1_1373]) ).
cnf(refute_1_1375,plain,
zero = complement(meet(top,join(top,X_418))),
inference(resolve,[$cnf( $equal(zero,join(meet(zero,X_418),complement(join(top,X_418)))) )],[refute_1_1363,refute_1_1374]) ).
cnf(refute_1_1376,plain,
meet(top,join(top,X_418)) = join(top,X_418),
inference(subst,[],[refute_1_1025:[bind(X_437,$fot(join(top,X_418)))]]) ).
cnf(refute_1_1377,plain,
complement(meet(top,join(top,X_418))) = complement(meet(top,join(top,X_418))),
introduced(tautology,[refl,[$fot(complement(meet(top,join(top,X_418))))]]) ).
cnf(refute_1_1378,plain,
( complement(meet(top,join(top,X_418))) != complement(meet(top,join(top,X_418)))
| meet(top,join(top,X_418)) != join(top,X_418)
| complement(meet(top,join(top,X_418))) = complement(join(top,X_418)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(top,join(top,X_418))),complement(meet(top,join(top,X_418)))) ),[1,0],$fot(join(top,X_418))]]) ).
cnf(refute_1_1379,plain,
( meet(top,join(top,X_418)) != join(top,X_418)
| complement(meet(top,join(top,X_418))) = complement(join(top,X_418)) ),
inference(resolve,[$cnf( $equal(complement(meet(top,join(top,X_418))),complement(meet(top,join(top,X_418)))) )],[refute_1_1377,refute_1_1378]) ).
cnf(refute_1_1380,plain,
complement(meet(top,join(top,X_418))) = complement(join(top,X_418)),
inference(resolve,[$cnf( $equal(meet(top,join(top,X_418)),join(top,X_418)) )],[refute_1_1376,refute_1_1379]) ).
cnf(refute_1_1381,plain,
( complement(meet(top,join(top,X_418))) != complement(join(top,X_418))
| zero != complement(meet(top,join(top,X_418)))
| zero = complement(join(top,X_418)) ),
introduced(tautology,[equality,[$cnf( $equal(zero,complement(meet(top,join(top,X_418)))) ),[1],$fot(complement(join(top,X_418)))]]) ).
cnf(refute_1_1382,plain,
( zero != complement(meet(top,join(top,X_418)))
| zero = complement(join(top,X_418)) ),
inference(resolve,[$cnf( $equal(complement(meet(top,join(top,X_418))),complement(join(top,X_418))) )],[refute_1_1380,refute_1_1381]) ).
cnf(refute_1_1383,plain,
zero = complement(join(top,X_418)),
inference(resolve,[$cnf( $equal(zero,complement(meet(top,join(top,X_418)))) )],[refute_1_1375,refute_1_1382]) ).
cnf(refute_1_1384,plain,
( zero != complement(join(top,X_418))
| complement(join(top,X_418)) = zero ),
inference(subst,[],[refute_1_5:[bind(X,$fot(zero)),bind(Y,$fot(complement(join(top,X_418))))]]) ).
cnf(refute_1_1385,plain,
complement(join(top,X_418)) = zero,
inference(resolve,[$cnf( $equal(zero,complement(join(top,X_418))) )],[refute_1_1383,refute_1_1384]) ).
cnf(refute_1_1386,plain,
complement(join(top,X_444)) = zero,
inference(subst,[],[refute_1_1385:[bind(X_418,$fot(X_444))]]) ).
cnf(refute_1_1387,plain,
join(meet(X_444,zero),complement(join(top,X_444))) = join(meet(X_444,zero),complement(join(top,X_444))),
introduced(tautology,[refl,[$fot(join(meet(X_444,zero),complement(join(top,X_444))))]]) ).
cnf(refute_1_1388,plain,
( complement(join(top,X_444)) != zero
| join(meet(X_444,zero),complement(join(top,X_444))) != join(meet(X_444,zero),complement(join(top,X_444)))
| join(meet(X_444,zero),complement(join(top,X_444))) = join(meet(X_444,zero),zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_444,zero),complement(join(top,X_444))),join(meet(X_444,zero),complement(join(top,X_444)))) ),[1,1],$fot(zero)]]) ).
cnf(refute_1_1389,plain,
( complement(join(top,X_444)) != zero
| join(meet(X_444,zero),complement(join(top,X_444))) = join(meet(X_444,zero),zero) ),
inference(resolve,[$cnf( $equal(join(meet(X_444,zero),complement(join(top,X_444))),join(meet(X_444,zero),complement(join(top,X_444)))) )],[refute_1_1387,refute_1_1388]) ).
cnf(refute_1_1390,plain,
join(meet(X_444,zero),complement(join(top,X_444))) = join(meet(X_444,zero),zero),
inference(resolve,[$cnf( $equal(complement(join(top,X_444)),zero) )],[refute_1_1386,refute_1_1389]) ).
cnf(refute_1_1391,plain,
( join(meet(X_444,zero),complement(join(top,X_444))) != join(meet(X_444,zero),zero)
| join(meet(X_444,zero),zero) != meet(X_444,zero)
| join(meet(X_444,zero),complement(join(top,X_444))) = meet(X_444,zero) ),
inference(subst,[],[refute_1_52:[bind(X,$fot(join(meet(X_444,zero),complement(join(top,X_444))))),bind(Y,$fot(join(meet(X_444,zero),zero))),bind(Z,$fot(meet(X_444,zero)))]]) ).
cnf(refute_1_1392,plain,
( join(meet(X_444,zero),zero) != meet(X_444,zero)
| join(meet(X_444,zero),complement(join(top,X_444))) = meet(X_444,zero) ),
inference(resolve,[$cnf( $equal(join(meet(X_444,zero),complement(join(top,X_444))),join(meet(X_444,zero),zero)) )],[refute_1_1390,refute_1_1391]) ).
cnf(refute_1_1393,plain,
join(meet(X_444,zero),complement(join(top,X_444))) = meet(X_444,zero),
inference(resolve,[$cnf( $equal(join(meet(X_444,zero),zero),meet(X_444,zero)) )],[refute_1_1330,refute_1_1392]) ).
cnf(refute_1_1394,plain,
( join(meet(X_444,zero),complement(join(top,X_444))) != meet(X_444,zero)
| zero != join(meet(X_444,zero),complement(join(top,X_444)))
| zero = meet(X_444,zero) ),
introduced(tautology,[equality,[$cnf( $equal(zero,join(meet(X_444,zero),complement(join(top,X_444)))) ),[1],$fot(meet(X_444,zero))]]) ).
cnf(refute_1_1395,plain,
( zero != join(meet(X_444,zero),complement(join(top,X_444)))
| zero = meet(X_444,zero) ),
inference(resolve,[$cnf( $equal(join(meet(X_444,zero),complement(join(top,X_444))),meet(X_444,zero)) )],[refute_1_1393,refute_1_1394]) ).
cnf(refute_1_1396,plain,
zero = meet(X_444,zero),
inference(resolve,[$cnf( $equal(zero,join(meet(X_444,zero),complement(join(top,X_444)))) )],[refute_1_1325,refute_1_1395]) ).
cnf(refute_1_1397,plain,
( zero != meet(X_444,zero)
| meet(X_444,zero) = zero ),
inference(subst,[],[refute_1_5:[bind(X,$fot(zero)),bind(Y,$fot(meet(X_444,zero)))]]) ).
cnf(refute_1_1398,plain,
meet(X_444,zero) = zero,
inference(resolve,[$cnf( $equal(zero,meet(X_444,zero)) )],[refute_1_1396,refute_1_1397]) ).
cnf(refute_1_1399,plain,
meet(X_428,zero) = zero,
inference(subst,[],[refute_1_1398:[bind(X_444,$fot(X_428))]]) ).
cnf(refute_1_1400,plain,
join(X_428,meet(X_428,zero)) = join(X_428,meet(X_428,zero)),
introduced(tautology,[refl,[$fot(join(X_428,meet(X_428,zero)))]]) ).
cnf(refute_1_1401,plain,
( join(X_428,meet(X_428,zero)) != join(X_428,meet(X_428,zero))
| meet(X_428,zero) != zero
| join(X_428,meet(X_428,zero)) = join(X_428,zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_428,meet(X_428,zero)),join(X_428,meet(X_428,zero))) ),[1,1],$fot(zero)]]) ).
cnf(refute_1_1402,plain,
( meet(X_428,zero) != zero
| join(X_428,meet(X_428,zero)) = join(X_428,zero) ),
inference(resolve,[$cnf( $equal(join(X_428,meet(X_428,zero)),join(X_428,meet(X_428,zero))) )],[refute_1_1400,refute_1_1401]) ).
cnf(refute_1_1403,plain,
join(X_428,meet(X_428,zero)) = join(X_428,zero),
inference(resolve,[$cnf( $equal(meet(X_428,zero),zero) )],[refute_1_1399,refute_1_1402]) ).
cnf(refute_1_1404,plain,
( X_428 != join(X_428,meet(X_428,zero))
| join(X_428,meet(X_428,zero)) != join(X_428,zero)
| X_428 = join(X_428,zero) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_428,join(X_428,zero)) ),[0],$fot(join(X_428,meet(X_428,zero)))]]) ).
cnf(refute_1_1405,plain,
( X_428 != join(X_428,meet(X_428,zero))
| X_428 = join(X_428,zero) ),
inference(resolve,[$cnf( $equal(join(X_428,meet(X_428,zero)),join(X_428,zero)) )],[refute_1_1403,refute_1_1404]) ).
cnf(refute_1_1406,plain,
X_428 = join(X_428,zero),
inference(resolve,[$cnf( $equal(X_428,join(X_428,meet(X_428,zero))) )],[refute_1_1321,refute_1_1405]) ).
cnf(refute_1_1407,plain,
( X_428 != join(X_428,zero)
| join(X_428,zero) = X_428 ),
inference(subst,[],[refute_1_5:[bind(X,$fot(X_428)),bind(Y,$fot(join(X_428,zero)))]]) ).
cnf(refute_1_1408,plain,
join(X_428,zero) = X_428,
inference(resolve,[$cnf( $equal(X_428,join(X_428,zero)) )],[refute_1_1406,refute_1_1407]) ).
cnf(refute_1_1409,plain,
join(composition(X_510,complement(composition(top,top))),zero) = composition(X_510,complement(composition(top,top))),
inference(subst,[],[refute_1_1408:[bind(X_428,$fot(composition(X_510,complement(composition(top,top)))))]]) ).
cnf(refute_1_1410,plain,
( join(composition(X_510,complement(composition(top,top))),zero) != composition(X_510,complement(composition(top,top)))
| zero != join(composition(X_510,complement(composition(top,top))),zero)
| zero = composition(X_510,complement(composition(top,top))) ),
introduced(tautology,[equality,[$cnf( $equal(zero,join(composition(X_510,complement(composition(top,top))),zero)) ),[1],$fot(composition(X_510,complement(composition(top,top))))]]) ).
cnf(refute_1_1411,plain,
( zero != join(composition(X_510,complement(composition(top,top))),zero)
| zero = composition(X_510,complement(composition(top,top))) ),
inference(resolve,[$cnf( $equal(join(composition(X_510,complement(composition(top,top))),zero),composition(X_510,complement(composition(top,top)))) )],[refute_1_1409,refute_1_1410]) ).
cnf(refute_1_1412,plain,
( composition(join(X_510,top),complement(composition(top,top))) != join(composition(X_510,complement(composition(top,top))),zero)
| zero = composition(X_510,complement(composition(top,top))) ),
inference(resolve,[$cnf( $equal(zero,join(composition(X_510,complement(composition(top,top))),zero)) )],[refute_1_1306,refute_1_1411]) ).
cnf(refute_1_1413,plain,
zero = composition(X_510,complement(composition(top,top))),
inference(resolve,[$cnf( $equal(composition(join(X_510,top),complement(composition(top,top))),join(composition(X_510,complement(composition(top,top))),zero)) )],[refute_1_1164,refute_1_1412]) ).
cnf(refute_1_1414,plain,
zero = composition(composition(X0,X1),complement(composition(top,top))),
inference(subst,[],[refute_1_1413:[bind(X_510,$fot(composition(X0,X1)))]]) ).
cnf(refute_1_1415,plain,
( zero != composition(composition(X0,X1),complement(composition(top,top)))
| composition(composition(X0,X1),complement(composition(top,top))) = zero ),
inference(subst,[],[refute_1_5:[bind(X,$fot(zero)),bind(Y,$fot(composition(composition(X0,X1),complement(composition(top,top)))))]]) ).
cnf(refute_1_1416,plain,
composition(composition(X0,X1),complement(composition(top,top))) = zero,
inference(resolve,[$cnf( $equal(zero,composition(composition(X0,X1),complement(composition(top,top)))) )],[refute_1_1414,refute_1_1415]) ).
cnf(refute_1_1417,plain,
( composition(X0,composition(X1,complement(composition(top,top)))) != composition(composition(X0,X1),complement(composition(top,top)))
| composition(composition(X0,X1),complement(composition(top,top))) != zero
| composition(X0,composition(X1,complement(composition(top,top)))) = zero ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(X0,composition(X1,complement(composition(top,top)))),zero) ),[0],$fot(composition(composition(X0,X1),complement(composition(top,top))))]]) ).
cnf(refute_1_1418,plain,
( composition(X0,composition(X1,complement(composition(top,top)))) != composition(composition(X0,X1),complement(composition(top,top)))
| composition(X0,composition(X1,complement(composition(top,top)))) = zero ),
inference(resolve,[$cnf( $equal(composition(composition(X0,X1),complement(composition(top,top))),zero) )],[refute_1_1416,refute_1_1417]) ).
cnf(refute_1_1419,plain,
composition(X0,composition(X1,complement(composition(top,top)))) = zero,
inference(resolve,[$cnf( $equal(composition(X0,composition(X1,complement(composition(top,top)))),composition(composition(X0,X1),complement(composition(top,top)))) )],[refute_1_1155,refute_1_1418]) ).
cnf(refute_1_1420,plain,
( zero != composition(X_510,complement(composition(top,top)))
| composition(X_510,complement(composition(top,top))) = zero ),
inference(subst,[],[refute_1_5:[bind(X,$fot(zero)),bind(Y,$fot(composition(X_510,complement(composition(top,top)))))]]) ).
cnf(refute_1_1421,plain,
composition(X_510,complement(composition(top,top))) = zero,
inference(resolve,[$cnf( $equal(zero,composition(X_510,complement(composition(top,top)))) )],[refute_1_1413,refute_1_1420]) ).
cnf(refute_1_1422,plain,
composition(X1,complement(composition(top,top))) = zero,
inference(subst,[],[refute_1_1421:[bind(X_510,$fot(X1))]]) ).
cnf(refute_1_1423,plain,
composition(X0,composition(X1,complement(composition(top,top)))) = composition(X0,composition(X1,complement(composition(top,top)))),
introduced(tautology,[refl,[$fot(composition(X0,composition(X1,complement(composition(top,top)))))]]) ).
cnf(refute_1_1424,plain,
( composition(X0,composition(X1,complement(composition(top,top)))) != composition(X0,composition(X1,complement(composition(top,top))))
| composition(X1,complement(composition(top,top))) != zero
| composition(X0,composition(X1,complement(composition(top,top)))) = composition(X0,zero) ),
introduced(tautology,[equality,[$cnf( $equal(composition(X0,composition(X1,complement(composition(top,top)))),composition(X0,composition(X1,complement(composition(top,top))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_1_1425,plain,
( composition(X1,complement(composition(top,top))) != zero
| composition(X0,composition(X1,complement(composition(top,top)))) = composition(X0,zero) ),
inference(resolve,[$cnf( $equal(composition(X0,composition(X1,complement(composition(top,top)))),composition(X0,composition(X1,complement(composition(top,top))))) )],[refute_1_1423,refute_1_1424]) ).
cnf(refute_1_1426,plain,
composition(X0,composition(X1,complement(composition(top,top)))) = composition(X0,zero),
inference(resolve,[$cnf( $equal(composition(X1,complement(composition(top,top))),zero) )],[refute_1_1422,refute_1_1425]) ).
cnf(refute_1_1427,plain,
( composition(X0,composition(X1,complement(composition(top,top)))) != composition(X0,zero)
| composition(X0,composition(X1,complement(composition(top,top)))) != zero
| composition(X0,zero) = zero ),
introduced(tautology,[equality,[$cnf( $equal(composition(X0,composition(X1,complement(composition(top,top)))),zero) ),[0],$fot(composition(X0,zero))]]) ).
cnf(refute_1_1428,plain,
( composition(X0,composition(X1,complement(composition(top,top)))) != zero
| composition(X0,zero) = zero ),
inference(resolve,[$cnf( $equal(composition(X0,composition(X1,complement(composition(top,top)))),composition(X0,zero)) )],[refute_1_1426,refute_1_1427]) ).
cnf(refute_1_1429,plain,
composition(X0,zero) = zero,
inference(resolve,[$cnf( $equal(composition(X0,composition(X1,complement(composition(top,top)))),zero) )],[refute_1_1419,refute_1_1428]) ).
cnf(refute_1_1430,plain,
composition(converse(X_562),zero) = zero,
inference(subst,[],[refute_1_1429:[bind(X0,$fot(converse(X_562)))]]) ).
cnf(refute_1_1431,plain,
( composition(converse(X_562),zero) != zero
| composition(converse(composition(X_563,X_562)),complement(composition(X_563,top))) != composition(converse(X_562),zero)
| composition(converse(composition(X_563,X_562)),complement(composition(X_563,top))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(composition(X_563,X_562)),complement(composition(X_563,top))),composition(converse(X_562),zero)) ),[1],$fot(zero)]]) ).
cnf(refute_1_1432,plain,
( composition(converse(composition(X_563,X_562)),complement(composition(X_563,top))) != composition(converse(X_562),zero)
| composition(converse(composition(X_563,X_562)),complement(composition(X_563,top))) = zero ),
inference(resolve,[$cnf( $equal(composition(converse(X_562),zero),zero) )],[refute_1_1430,refute_1_1431]) ).
cnf(refute_1_1433,plain,
( composition(converse(composition(X_563,X_562)),complement(converse(composition(top,converse(X_563))))) != composition(converse(X_562),zero)
| composition(converse(composition(X_563,X_562)),complement(composition(X_563,top))) = zero ),
inference(resolve,[$cnf( $equal(composition(converse(composition(X_563,X_562)),complement(composition(X_563,top))),composition(converse(X_562),zero)) )],[refute_1_1154,refute_1_1432]) ).
cnf(refute_1_1434,plain,
composition(converse(composition(X_563,X_562)),complement(composition(X_563,top))) = zero,
inference(resolve,[$cnf( $equal(composition(converse(composition(X_563,X_562)),complement(converse(composition(top,converse(X_563))))),composition(converse(X_562),zero)) )],[refute_1_1132,refute_1_1433]) ).
cnf(refute_1_1435,plain,
composition(converse(composition(X_566,X_565)),complement(composition(X_566,top))) = zero,
inference(subst,[],[refute_1_1434:[bind(X_562,$fot(X_565)),bind(X_563,$fot(X_566))]]) ).
cnf(refute_1_1436,plain,
( composition(converse(composition(X_566,X_565)),complement(composition(X_566,top))) != zero
| join(complement(converse(converse(composition(X_566,X_565)))),composition(complement(composition(X_566,top)),complement(converse(composition(converse(composition(X_566,X_565)),complement(composition(X_566,top))))))) != complement(converse(converse(composition(X_566,X_565))))
| join(complement(converse(converse(composition(X_566,X_565)))),composition(complement(composition(X_566,top)),complement(converse(zero)))) = complement(converse(converse(composition(X_566,X_565)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(converse(composition(X_566,X_565)))),composition(complement(composition(X_566,top)),complement(converse(composition(converse(composition(X_566,X_565)),complement(composition(X_566,top))))))),complement(converse(converse(composition(X_566,X_565))))) ),[0,1,1,0,0],$fot(zero)]]) ).
cnf(refute_1_1437,plain,
( join(complement(converse(converse(composition(X_566,X_565)))),composition(complement(composition(X_566,top)),complement(converse(composition(converse(composition(X_566,X_565)),complement(composition(X_566,top))))))) != complement(converse(converse(composition(X_566,X_565))))
| join(complement(converse(converse(composition(X_566,X_565)))),composition(complement(composition(X_566,top)),complement(converse(zero)))) = complement(converse(converse(composition(X_566,X_565)))) ),
inference(resolve,[$cnf( $equal(composition(converse(composition(X_566,X_565)),complement(composition(X_566,top))),zero) )],[refute_1_1435,refute_1_1436]) ).
cnf(refute_1_1438,plain,
join(complement(converse(converse(composition(X_566,X_565)))),composition(complement(composition(X_566,top)),complement(converse(zero)))) = complement(converse(converse(composition(X_566,X_565)))),
inference(resolve,[$cnf( $equal(join(complement(converse(converse(composition(X_566,X_565)))),composition(complement(composition(X_566,top)),complement(converse(composition(converse(composition(X_566,X_565)),complement(composition(X_566,top))))))),complement(converse(converse(composition(X_566,X_565))))) )],[refute_1_32,refute_1_1437]) ).
cnf(refute_1_1439,plain,
converse(converse(complement(converse(zero)))) = complement(converse(zero)),
inference(subst,[],[refute_1_19:[bind(X0,$fot(complement(converse(zero))))]]) ).
cnf(refute_1_1440,plain,
top = join(meet(top,X_418),complement(join(complement(top),X_418))),
inference(subst,[],[refute_1_114:[bind(X0,$fot(top)),bind(X1,$fot(X_418))]]) ).
cnf(refute_1_1441,plain,
( complement(top) != zero
| top != join(meet(top,X_418),complement(join(complement(top),X_418)))
| top = join(meet(top,X_418),complement(join(zero,X_418))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(meet(top,X_418),complement(join(complement(top),X_418)))) ),[1,1,0,0],$fot(zero)]]) ).
cnf(refute_1_1442,plain,
( top != join(meet(top,X_418),complement(join(complement(top),X_418)))
| top = join(meet(top,X_418),complement(join(zero,X_418))) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_1_90,refute_1_1441]) ).
cnf(refute_1_1443,plain,
top = join(meet(top,X_418),complement(join(zero,X_418))),
inference(resolve,[$cnf( $equal(top,join(meet(top,X_418),complement(join(complement(top),X_418)))) )],[refute_1_1440,refute_1_1442]) ).
cnf(refute_1_1444,plain,
top = join(meet(top,converse(complement(converse(zero)))),complement(join(zero,converse(complement(converse(zero)))))),
inference(subst,[],[refute_1_1443:[bind(X_418,$fot(converse(complement(converse(zero)))))]]) ).
cnf(refute_1_1445,plain,
converse(top) = join(zero,converse(complement(converse(zero)))),
inference(subst,[],[refute_1_1058:[bind(X_397,$fot(zero))]]) ).
cnf(refute_1_1446,plain,
( converse(top) != join(zero,converse(complement(converse(zero))))
| join(zero,converse(complement(converse(zero)))) = converse(top) ),
inference(subst,[],[refute_1_5:[bind(X,$fot(converse(top))),bind(Y,$fot(join(zero,converse(complement(converse(zero))))))]]) ).
cnf(refute_1_1447,plain,
join(zero,converse(complement(converse(zero)))) = converse(top),
inference(resolve,[$cnf( $equal(converse(top),join(zero,converse(complement(converse(zero))))) )],[refute_1_1445,refute_1_1446]) ).
cnf(refute_1_1448,plain,
( join(zero,converse(complement(converse(zero)))) != converse(top)
| top != join(meet(top,converse(complement(converse(zero)))),complement(join(zero,converse(complement(converse(zero))))))
| top = join(meet(top,converse(complement(converse(zero)))),complement(converse(top))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(meet(top,converse(complement(converse(zero)))),complement(join(zero,converse(complement(converse(zero))))))) ),[1,1,0],$fot(converse(top))]]) ).
cnf(refute_1_1449,plain,
( top != join(meet(top,converse(complement(converse(zero)))),complement(join(zero,converse(complement(converse(zero))))))
| top = join(meet(top,converse(complement(converse(zero)))),complement(converse(top))) ),
inference(resolve,[$cnf( $equal(join(zero,converse(complement(converse(zero)))),converse(top)) )],[refute_1_1447,refute_1_1448]) ).
cnf(refute_1_1450,plain,
top = join(meet(top,converse(complement(converse(zero)))),complement(converse(top))),
inference(resolve,[$cnf( $equal(top,join(meet(top,converse(complement(converse(zero)))),complement(join(zero,converse(complement(converse(zero))))))) )],[refute_1_1444,refute_1_1449]) ).
cnf(refute_1_1451,plain,
join(meet(top,converse(complement(converse(zero)))),complement(converse(top))) = join(complement(converse(top)),meet(top,converse(complement(converse(zero))))),
inference(subst,[],[refute_1_7:[bind(X0,$fot(complement(converse(top)))),bind(X1,$fot(meet(top,converse(complement(converse(zero))))))]]) ).
cnf(refute_1_1452,plain,
( join(meet(top,converse(complement(converse(zero)))),complement(converse(top))) != join(complement(converse(top)),meet(top,converse(complement(converse(zero)))))
| top != join(meet(top,converse(complement(converse(zero)))),complement(converse(top)))
| top = join(complement(converse(top)),meet(top,converse(complement(converse(zero))))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(meet(top,converse(complement(converse(zero)))),complement(converse(top)))) ),[1],$fot(join(complement(converse(top)),meet(top,converse(complement(converse(zero))))))]]) ).
cnf(refute_1_1453,plain,
( top != join(meet(top,converse(complement(converse(zero)))),complement(converse(top)))
| top = join(complement(converse(top)),meet(top,converse(complement(converse(zero))))) ),
inference(resolve,[$cnf( $equal(join(meet(top,converse(complement(converse(zero)))),complement(converse(top))),join(complement(converse(top)),meet(top,converse(complement(converse(zero)))))) )],[refute_1_1451,refute_1_1452]) ).
cnf(refute_1_1454,plain,
top = join(complement(converse(top)),meet(top,converse(complement(converse(zero))))),
inference(resolve,[$cnf( $equal(top,join(meet(top,converse(complement(converse(zero)))),complement(converse(top)))) )],[refute_1_1450,refute_1_1453]) ).
cnf(refute_1_1455,plain,
join(zero,meet(top,converse(complement(converse(zero))))) = converse(complement(converse(zero))),
inference(subst,[],[refute_1_1007:[bind(X_417,$fot(converse(complement(converse(zero)))))]]) ).
cnf(refute_1_1456,plain,
complement(converse(top)) = complement(converse(top)),
introduced(tautology,[refl,[$fot(complement(converse(top)))]]) ).
cnf(refute_1_1457,plain,
( complement(converse(top)) != complement(converse(top))
| converse(top) != top
| complement(converse(top)) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(top)),complement(converse(top))) ),[1,0],$fot(top)]]) ).
cnf(refute_1_1458,plain,
( converse(top) != top
| complement(converse(top)) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(converse(top)),complement(converse(top))) )],[refute_1_1456,refute_1_1457]) ).
cnf(refute_1_1459,plain,
complement(converse(top)) = complement(top),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_1_1111,refute_1_1458]) ).
cnf(refute_1_1460,plain,
( complement(converse(top)) != complement(top)
| complement(top) != zero
| complement(converse(top)) = zero ),
inference(subst,[],[refute_1_52:[bind(X,$fot(complement(converse(top)))),bind(Y,$fot(complement(top))),bind(Z,$fot(zero))]]) ).
cnf(refute_1_1461,plain,
( complement(top) != zero
| complement(converse(top)) = zero ),
inference(resolve,[$cnf( $equal(complement(converse(top)),complement(top)) )],[refute_1_1459,refute_1_1460]) ).
cnf(refute_1_1462,plain,
complement(converse(top)) = zero,
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_1_90,refute_1_1461]) ).
cnf(refute_1_1463,plain,
join(complement(converse(top)),meet(top,converse(complement(converse(zero))))) = join(complement(converse(top)),meet(top,converse(complement(converse(zero))))),
introduced(tautology,[refl,[$fot(join(complement(converse(top)),meet(top,converse(complement(converse(zero))))))]]) ).
cnf(refute_1_1464,plain,
( complement(converse(top)) != zero
| join(complement(converse(top)),meet(top,converse(complement(converse(zero))))) != join(complement(converse(top)),meet(top,converse(complement(converse(zero)))))
| join(complement(converse(top)),meet(top,converse(complement(converse(zero))))) = join(zero,meet(top,converse(complement(converse(zero))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(top)),meet(top,converse(complement(converse(zero))))),join(complement(converse(top)),meet(top,converse(complement(converse(zero)))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_1_1465,plain,
( complement(converse(top)) != zero
| join(complement(converse(top)),meet(top,converse(complement(converse(zero))))) = join(zero,meet(top,converse(complement(converse(zero))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),meet(top,converse(complement(converse(zero))))),join(complement(converse(top)),meet(top,converse(complement(converse(zero)))))) )],[refute_1_1463,refute_1_1464]) ).
cnf(refute_1_1466,plain,
join(complement(converse(top)),meet(top,converse(complement(converse(zero))))) = join(zero,meet(top,converse(complement(converse(zero))))),
inference(resolve,[$cnf( $equal(complement(converse(top)),zero) )],[refute_1_1462,refute_1_1465]) ).
cnf(refute_1_1467,plain,
( join(complement(converse(top)),meet(top,converse(complement(converse(zero))))) != join(zero,meet(top,converse(complement(converse(zero)))))
| join(zero,meet(top,converse(complement(converse(zero))))) != converse(complement(converse(zero)))
| join(complement(converse(top)),meet(top,converse(complement(converse(zero))))) = converse(complement(converse(zero))) ),
inference(subst,[],[refute_1_52:[bind(X,$fot(join(complement(converse(top)),meet(top,converse(complement(converse(zero))))))),bind(Y,$fot(join(zero,meet(top,converse(complement(converse(zero))))))),bind(Z,$fot(converse(complement(converse(zero)))))]]) ).
cnf(refute_1_1468,plain,
( join(zero,meet(top,converse(complement(converse(zero))))) != converse(complement(converse(zero)))
| join(complement(converse(top)),meet(top,converse(complement(converse(zero))))) = converse(complement(converse(zero))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),meet(top,converse(complement(converse(zero))))),join(zero,meet(top,converse(complement(converse(zero)))))) )],[refute_1_1466,refute_1_1467]) ).
cnf(refute_1_1469,plain,
join(complement(converse(top)),meet(top,converse(complement(converse(zero))))) = converse(complement(converse(zero))),
inference(resolve,[$cnf( $equal(join(zero,meet(top,converse(complement(converse(zero))))),converse(complement(converse(zero)))) )],[refute_1_1455,refute_1_1468]) ).
cnf(refute_1_1470,plain,
( join(complement(converse(top)),meet(top,converse(complement(converse(zero))))) != converse(complement(converse(zero)))
| top != join(complement(converse(top)),meet(top,converse(complement(converse(zero)))))
| top = converse(complement(converse(zero))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(converse(top)),meet(top,converse(complement(converse(zero)))))) ),[1],$fot(converse(complement(converse(zero))))]]) ).
cnf(refute_1_1471,plain,
( top != join(complement(converse(top)),meet(top,converse(complement(converse(zero)))))
| top = converse(complement(converse(zero))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),meet(top,converse(complement(converse(zero))))),converse(complement(converse(zero)))) )],[refute_1_1469,refute_1_1470]) ).
cnf(refute_1_1472,plain,
top = converse(complement(converse(zero))),
inference(resolve,[$cnf( $equal(top,join(complement(converse(top)),meet(top,converse(complement(converse(zero)))))) )],[refute_1_1454,refute_1_1471]) ).
cnf(refute_1_1473,plain,
( top != converse(complement(converse(zero)))
| converse(complement(converse(zero))) = top ),
inference(subst,[],[refute_1_5:[bind(X,$fot(top)),bind(Y,$fot(converse(complement(converse(zero)))))]]) ).
cnf(refute_1_1474,plain,
converse(complement(converse(zero))) = top,
inference(resolve,[$cnf( $equal(top,converse(complement(converse(zero)))) )],[refute_1_1472,refute_1_1473]) ).
cnf(refute_1_1475,plain,
( converse(complement(converse(zero))) != top
| converse(converse(complement(converse(zero)))) != complement(converse(zero))
| converse(top) = complement(converse(zero)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(complement(converse(zero)))),complement(converse(zero))) ),[0,0],$fot(top)]]) ).
cnf(refute_1_1476,plain,
( converse(converse(complement(converse(zero)))) != complement(converse(zero))
| converse(top) = complement(converse(zero)) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(zero))),top) )],[refute_1_1474,refute_1_1475]) ).
cnf(refute_1_1477,plain,
converse(top) = complement(converse(zero)),
inference(resolve,[$cnf( $equal(converse(converse(complement(converse(zero)))),complement(converse(zero))) )],[refute_1_1439,refute_1_1476]) ).
cnf(refute_1_1478,plain,
( converse(top) != complement(converse(zero))
| converse(top) != top
| top = complement(converse(zero)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(top),complement(converse(zero))) ),[0],$fot(top)]]) ).
cnf(refute_1_1479,plain,
( converse(top) != complement(converse(zero))
| top = complement(converse(zero)) ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_1_1111,refute_1_1478]) ).
cnf(refute_1_1480,plain,
top = complement(converse(zero)),
inference(resolve,[$cnf( $equal(converse(top),complement(converse(zero))) )],[refute_1_1477,refute_1_1479]) ).
cnf(refute_1_1481,plain,
( top != complement(converse(zero))
| complement(converse(zero)) = top ),
inference(subst,[],[refute_1_5:[bind(X,$fot(top)),bind(Y,$fot(complement(converse(zero))))]]) ).
cnf(refute_1_1482,plain,
complement(converse(zero)) = top,
inference(resolve,[$cnf( $equal(top,complement(converse(zero))) )],[refute_1_1480,refute_1_1481]) ).
cnf(refute_1_1483,plain,
composition(complement(composition(X_566,top)),complement(converse(zero))) = composition(complement(composition(X_566,top)),complement(converse(zero))),
introduced(tautology,[refl,[$fot(composition(complement(composition(X_566,top)),complement(converse(zero))))]]) ).
cnf(refute_1_1484,plain,
( complement(converse(zero)) != top
| composition(complement(composition(X_566,top)),complement(converse(zero))) != composition(complement(composition(X_566,top)),complement(converse(zero)))
| composition(complement(composition(X_566,top)),complement(converse(zero))) = composition(complement(composition(X_566,top)),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(composition(X_566,top)),complement(converse(zero))),composition(complement(composition(X_566,top)),complement(converse(zero)))) ),[1,1],$fot(top)]]) ).
cnf(refute_1_1485,plain,
( complement(converse(zero)) != top
| composition(complement(composition(X_566,top)),complement(converse(zero))) = composition(complement(composition(X_566,top)),top) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(X_566,top)),complement(converse(zero))),composition(complement(composition(X_566,top)),complement(converse(zero)))) )],[refute_1_1483,refute_1_1484]) ).
cnf(refute_1_1486,plain,
composition(complement(composition(X_566,top)),complement(converse(zero))) = composition(complement(composition(X_566,top)),top),
inference(resolve,[$cnf( $equal(complement(converse(zero)),top) )],[refute_1_1482,refute_1_1485]) ).
cnf(refute_1_1487,plain,
join(complement(composition(X_566,X_565)),composition(complement(composition(X_566,top)),complement(converse(zero)))) = join(complement(composition(X_566,X_565)),composition(complement(composition(X_566,top)),complement(converse(zero)))),
introduced(tautology,[refl,[$fot(join(complement(composition(X_566,X_565)),composition(complement(composition(X_566,top)),complement(converse(zero)))))]]) ).
cnf(refute_1_1488,plain,
( composition(complement(composition(X_566,top)),complement(converse(zero))) != composition(complement(composition(X_566,top)),top)
| join(complement(composition(X_566,X_565)),composition(complement(composition(X_566,top)),complement(converse(zero)))) != join(complement(composition(X_566,X_565)),composition(complement(composition(X_566,top)),complement(converse(zero))))
| join(complement(composition(X_566,X_565)),composition(complement(composition(X_566,top)),complement(converse(zero)))) = join(complement(composition(X_566,X_565)),composition(complement(composition(X_566,top)),top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(composition(X_566,X_565)),composition(complement(composition(X_566,top)),complement(converse(zero)))),join(complement(composition(X_566,X_565)),composition(complement(composition(X_566,top)),complement(converse(zero))))) ),[1,1],$fot(composition(complement(composition(X_566,top)),top))]]) ).
cnf(refute_1_1489,plain,
( composition(complement(composition(X_566,top)),complement(converse(zero))) != composition(complement(composition(X_566,top)),top)
| join(complement(composition(X_566,X_565)),composition(complement(composition(X_566,top)),complement(converse(zero)))) = join(complement(composition(X_566,X_565)),composition(complement(composition(X_566,top)),top)) ),
inference(resolve,[$cnf( $equal(join(complement(composition(X_566,X_565)),composition(complement(composition(X_566,top)),complement(converse(zero)))),join(complement(composition(X_566,X_565)),composition(complement(composition(X_566,top)),complement(converse(zero))))) )],[refute_1_1487,refute_1_1488]) ).
cnf(refute_1_1490,plain,
join(complement(composition(X_566,X_565)),composition(complement(composition(X_566,top)),complement(converse(zero)))) = join(complement(composition(X_566,X_565)),composition(complement(composition(X_566,top)),top)),
inference(resolve,[$cnf( $equal(composition(complement(composition(X_566,top)),complement(converse(zero))),composition(complement(composition(X_566,top)),top)) )],[refute_1_1486,refute_1_1489]) ).
cnf(refute_1_1491,plain,
converse(converse(composition(X_566,X_565))) = composition(X_566,X_565),
inference(subst,[],[refute_1_19:[bind(X0,$fot(composition(X_566,X_565)))]]) ).
cnf(refute_1_1492,plain,
complement(converse(converse(composition(X_566,X_565)))) = complement(converse(converse(composition(X_566,X_565)))),
introduced(tautology,[refl,[$fot(complement(converse(converse(composition(X_566,X_565)))))]]) ).
cnf(refute_1_1493,plain,
( complement(converse(converse(composition(X_566,X_565)))) != complement(converse(converse(composition(X_566,X_565))))
| converse(converse(composition(X_566,X_565))) != composition(X_566,X_565)
| complement(converse(converse(composition(X_566,X_565)))) = complement(composition(X_566,X_565)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(converse(composition(X_566,X_565)))),complement(converse(converse(composition(X_566,X_565))))) ),[1,0],$fot(composition(X_566,X_565))]]) ).
cnf(refute_1_1494,plain,
( converse(converse(composition(X_566,X_565))) != composition(X_566,X_565)
| complement(converse(converse(composition(X_566,X_565)))) = complement(composition(X_566,X_565)) ),
inference(resolve,[$cnf( $equal(complement(converse(converse(composition(X_566,X_565)))),complement(converse(converse(composition(X_566,X_565))))) )],[refute_1_1492,refute_1_1493]) ).
cnf(refute_1_1495,plain,
complement(converse(converse(composition(X_566,X_565)))) = complement(composition(X_566,X_565)),
inference(resolve,[$cnf( $equal(converse(converse(composition(X_566,X_565))),composition(X_566,X_565)) )],[refute_1_1491,refute_1_1494]) ).
cnf(refute_1_1496,plain,
join(complement(converse(converse(composition(X_566,X_565)))),composition(complement(composition(X_566,top)),complement(converse(zero)))) = join(complement(converse(converse(composition(X_566,X_565)))),composition(complement(composition(X_566,top)),complement(converse(zero)))),
introduced(tautology,[refl,[$fot(join(complement(converse(converse(composition(X_566,X_565)))),composition(complement(composition(X_566,top)),complement(converse(zero)))))]]) ).
cnf(refute_1_1497,plain,
( complement(converse(converse(composition(X_566,X_565)))) != complement(composition(X_566,X_565))
| join(complement(converse(converse(composition(X_566,X_565)))),composition(complement(composition(X_566,top)),complement(converse(zero)))) != join(complement(converse(converse(composition(X_566,X_565)))),composition(complement(composition(X_566,top)),complement(converse(zero))))
| join(complement(converse(converse(composition(X_566,X_565)))),composition(complement(composition(X_566,top)),complement(converse(zero)))) = join(complement(composition(X_566,X_565)),composition(complement(composition(X_566,top)),complement(converse(zero)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(converse(composition(X_566,X_565)))),composition(complement(composition(X_566,top)),complement(converse(zero)))),join(complement(converse(converse(composition(X_566,X_565)))),composition(complement(composition(X_566,top)),complement(converse(zero))))) ),[1,0],$fot(complement(composition(X_566,X_565)))]]) ).
cnf(refute_1_1498,plain,
( complement(converse(converse(composition(X_566,X_565)))) != complement(composition(X_566,X_565))
| join(complement(converse(converse(composition(X_566,X_565)))),composition(complement(composition(X_566,top)),complement(converse(zero)))) = join(complement(composition(X_566,X_565)),composition(complement(composition(X_566,top)),complement(converse(zero)))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(converse(composition(X_566,X_565)))),composition(complement(composition(X_566,top)),complement(converse(zero)))),join(complement(converse(converse(composition(X_566,X_565)))),composition(complement(composition(X_566,top)),complement(converse(zero))))) )],[refute_1_1496,refute_1_1497]) ).
cnf(refute_1_1499,plain,
join(complement(converse(converse(composition(X_566,X_565)))),composition(complement(composition(X_566,top)),complement(converse(zero)))) = join(complement(composition(X_566,X_565)),composition(complement(composition(X_566,top)),complement(converse(zero)))),
inference(resolve,[$cnf( $equal(complement(converse(converse(composition(X_566,X_565)))),complement(composition(X_566,X_565))) )],[refute_1_1495,refute_1_1498]) ).
cnf(refute_1_1500,plain,
( join(complement(composition(X_566,X_565)),composition(complement(composition(X_566,top)),complement(converse(zero)))) != join(complement(composition(X_566,X_565)),composition(complement(composition(X_566,top)),top))
| join(complement(converse(converse(composition(X_566,X_565)))),composition(complement(composition(X_566,top)),complement(converse(zero)))) != join(complement(composition(X_566,X_565)),composition(complement(composition(X_566,top)),complement(converse(zero))))
| join(complement(converse(converse(composition(X_566,X_565)))),composition(complement(composition(X_566,top)),complement(converse(zero)))) = join(complement(composition(X_566,X_565)),composition(complement(composition(X_566,top)),top)) ),
inference(subst,[],[refute_1_52:[bind(X,$fot(join(complement(converse(converse(composition(X_566,X_565)))),composition(complement(composition(X_566,top)),complement(converse(zero)))))),bind(Y,$fot(join(complement(composition(X_566,X_565)),composition(complement(composition(X_566,top)),complement(converse(zero)))))),bind(Z,$fot(join(complement(composition(X_566,X_565)),composition(complement(composition(X_566,top)),top))))]]) ).
cnf(refute_1_1501,plain,
( join(complement(composition(X_566,X_565)),composition(complement(composition(X_566,top)),complement(converse(zero)))) != join(complement(composition(X_566,X_565)),composition(complement(composition(X_566,top)),top))
| join(complement(converse(converse(composition(X_566,X_565)))),composition(complement(composition(X_566,top)),complement(converse(zero)))) = join(complement(composition(X_566,X_565)),composition(complement(composition(X_566,top)),top)) ),
inference(resolve,[$cnf( $equal(join(complement(converse(converse(composition(X_566,X_565)))),composition(complement(composition(X_566,top)),complement(converse(zero)))),join(complement(composition(X_566,X_565)),composition(complement(composition(X_566,top)),complement(converse(zero))))) )],[refute_1_1499,refute_1_1500]) ).
cnf(refute_1_1502,plain,
join(complement(converse(converse(composition(X_566,X_565)))),composition(complement(composition(X_566,top)),complement(converse(zero)))) = join(complement(composition(X_566,X_565)),composition(complement(composition(X_566,top)),top)),
inference(resolve,[$cnf( $equal(join(complement(composition(X_566,X_565)),composition(complement(composition(X_566,top)),complement(converse(zero)))),join(complement(composition(X_566,X_565)),composition(complement(composition(X_566,top)),top))) )],[refute_1_1490,refute_1_1501]) ).
cnf(refute_1_1503,plain,
( join(complement(converse(converse(composition(X_566,X_565)))),composition(complement(composition(X_566,top)),complement(converse(zero)))) != complement(converse(converse(composition(X_566,X_565))))
| join(complement(converse(converse(composition(X_566,X_565)))),composition(complement(composition(X_566,top)),complement(converse(zero)))) != join(complement(composition(X_566,X_565)),composition(complement(composition(X_566,top)),top))
| join(complement(composition(X_566,X_565)),composition(complement(composition(X_566,top)),top)) = complement(converse(converse(composition(X_566,X_565)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(converse(composition(X_566,X_565)))),composition(complement(composition(X_566,top)),complement(converse(zero)))),complement(converse(converse(composition(X_566,X_565))))) ),[0],$fot(join(complement(composition(X_566,X_565)),composition(complement(composition(X_566,top)),top)))]]) ).
cnf(refute_1_1504,plain,
( join(complement(converse(converse(composition(X_566,X_565)))),composition(complement(composition(X_566,top)),complement(converse(zero)))) != complement(converse(converse(composition(X_566,X_565))))
| join(complement(composition(X_566,X_565)),composition(complement(composition(X_566,top)),top)) = complement(converse(converse(composition(X_566,X_565)))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(converse(composition(X_566,X_565)))),composition(complement(composition(X_566,top)),complement(converse(zero)))),join(complement(composition(X_566,X_565)),composition(complement(composition(X_566,top)),top))) )],[refute_1_1502,refute_1_1503]) ).
cnf(refute_1_1505,plain,
( complement(converse(converse(composition(X_566,X_565)))) != complement(composition(X_566,X_565))
| join(complement(composition(X_566,X_565)),composition(complement(composition(X_566,top)),top)) != complement(converse(converse(composition(X_566,X_565))))
| join(complement(composition(X_566,X_565)),composition(complement(composition(X_566,top)),top)) = complement(composition(X_566,X_565)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(composition(X_566,X_565)),composition(complement(composition(X_566,top)),top)),complement(converse(converse(composition(X_566,X_565))))) ),[1],$fot(complement(composition(X_566,X_565)))]]) ).
cnf(refute_1_1506,plain,
( join(complement(composition(X_566,X_565)),composition(complement(composition(X_566,top)),top)) != complement(converse(converse(composition(X_566,X_565))))
| join(complement(composition(X_566,X_565)),composition(complement(composition(X_566,top)),top)) = complement(composition(X_566,X_565)) ),
inference(resolve,[$cnf( $equal(complement(converse(converse(composition(X_566,X_565)))),complement(composition(X_566,X_565))) )],[refute_1_1495,refute_1_1505]) ).
cnf(refute_1_1507,plain,
( join(complement(converse(converse(composition(X_566,X_565)))),composition(complement(composition(X_566,top)),complement(converse(zero)))) != complement(converse(converse(composition(X_566,X_565))))
| join(complement(composition(X_566,X_565)),composition(complement(composition(X_566,top)),top)) = complement(composition(X_566,X_565)) ),
inference(resolve,[$cnf( $equal(join(complement(composition(X_566,X_565)),composition(complement(composition(X_566,top)),top)),complement(converse(converse(composition(X_566,X_565))))) )],[refute_1_1504,refute_1_1506]) ).
cnf(refute_1_1508,plain,
join(complement(composition(X_566,X_565)),composition(complement(composition(X_566,top)),top)) = complement(composition(X_566,X_565)),
inference(resolve,[$cnf( $equal(join(complement(converse(converse(composition(X_566,X_565)))),composition(complement(composition(X_566,top)),complement(converse(zero)))),complement(converse(converse(composition(X_566,X_565))))) )],[refute_1_1438,refute_1_1507]) ).
cnf(refute_1_1509,plain,
join(complement(composition(skolemFOFtoCNF_X0_1,top)),composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top)) = complement(composition(skolemFOFtoCNF_X0_1,top)),
inference(subst,[],[refute_1_1508:[bind(X_565,$fot(top)),bind(X_566,$fot(skolemFOFtoCNF_X0_1))]]) ).
cnf(refute_1_1510,plain,
( join(complement(composition(skolemFOFtoCNF_X0_1,top)),composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top)) != complement(composition(skolemFOFtoCNF_X0_1,top))
| join(complement(composition(skolemFOFtoCNF_X0_1,top)),composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top)) != composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top)
| complement(composition(skolemFOFtoCNF_X0_1,top)) = composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(composition(skolemFOFtoCNF_X0_1,top)),composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top)),composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top)) ),[0],$fot(complement(composition(skolemFOFtoCNF_X0_1,top)))]]) ).
cnf(refute_1_1511,plain,
( join(complement(composition(skolemFOFtoCNF_X0_1,top)),composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top)) != composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top)
| complement(composition(skolemFOFtoCNF_X0_1,top)) = composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top) ),
inference(resolve,[$cnf( $equal(join(complement(composition(skolemFOFtoCNF_X0_1,top)),composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top)),complement(composition(skolemFOFtoCNF_X0_1,top))) )],[refute_1_1509,refute_1_1510]) ).
cnf(refute_1_1512,plain,
complement(composition(skolemFOFtoCNF_X0_1,top)) = composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),
inference(resolve,[$cnf( $equal(join(complement(composition(skolemFOFtoCNF_X0_1,top)),composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top)),composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top)) )],[refute_1_0,refute_1_1511]) ).
cnf(refute_1_1513,plain,
join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),complement(composition(skolemFOFtoCNF_X0_1,top))) != complement(composition(skolemFOFtoCNF_X0_1,top)),
inference(canonicalize,[],[normalize_1_29]) ).
cnf(refute_1_1514,plain,
join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),complement(composition(skolemFOFtoCNF_X0_1,top))) = join(complement(composition(skolemFOFtoCNF_X0_1,top)),composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top)),
inference(subst,[],[refute_1_7:[bind(X0,$fot(complement(composition(skolemFOFtoCNF_X0_1,top)))),bind(X1,$fot(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top)))]]) ).
cnf(refute_1_1515,plain,
( join(complement(composition(skolemFOFtoCNF_X0_1,top)),composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top)) != composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top)
| join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),complement(composition(skolemFOFtoCNF_X0_1,top))) != join(complement(composition(skolemFOFtoCNF_X0_1,top)),composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top))
| join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),complement(composition(skolemFOFtoCNF_X0_1,top))) = composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top) ),
inference(subst,[],[refute_1_52:[bind(X,$fot(join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),complement(composition(skolemFOFtoCNF_X0_1,top))))),bind(Y,$fot(join(complement(composition(skolemFOFtoCNF_X0_1,top)),composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top)))),bind(Z,$fot(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top)))]]) ).
cnf(refute_1_1516,plain,
( join(complement(composition(skolemFOFtoCNF_X0_1,top)),composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top)) != composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top)
| join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),complement(composition(skolemFOFtoCNF_X0_1,top))) = composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top) ),
inference(resolve,[$cnf( $equal(join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),complement(composition(skolemFOFtoCNF_X0_1,top))),join(complement(composition(skolemFOFtoCNF_X0_1,top)),composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top))) )],[refute_1_1514,refute_1_1515]) ).
cnf(refute_1_1517,plain,
join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),complement(composition(skolemFOFtoCNF_X0_1,top))) = composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),
inference(resolve,[$cnf( $equal(join(complement(composition(skolemFOFtoCNF_X0_1,top)),composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top)),composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top)) )],[refute_1_0,refute_1_1516]) ).
cnf(refute_1_1518,plain,
( composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top) != complement(composition(skolemFOFtoCNF_X0_1,top))
| join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),complement(composition(skolemFOFtoCNF_X0_1,top))) != composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top)
| join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),complement(composition(skolemFOFtoCNF_X0_1,top))) = complement(composition(skolemFOFtoCNF_X0_1,top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),complement(composition(skolemFOFtoCNF_X0_1,top))),composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top)) ),[1],$fot(complement(composition(skolemFOFtoCNF_X0_1,top)))]]) ).
cnf(refute_1_1519,plain,
( composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top) != complement(composition(skolemFOFtoCNF_X0_1,top))
| join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),complement(composition(skolemFOFtoCNF_X0_1,top))) = complement(composition(skolemFOFtoCNF_X0_1,top)) ),
inference(resolve,[$cnf( $equal(join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),complement(composition(skolemFOFtoCNF_X0_1,top))),composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top)) )],[refute_1_1517,refute_1_1518]) ).
cnf(refute_1_1520,plain,
composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top) != complement(composition(skolemFOFtoCNF_X0_1,top)),
inference(resolve,[$cnf( $equal(join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),complement(composition(skolemFOFtoCNF_X0_1,top))),complement(composition(skolemFOFtoCNF_X0_1,top))) )],[refute_1_1519,refute_1_1513]) ).
cnf(refute_1_1521,plain,
( complement(composition(skolemFOFtoCNF_X0_1,top)) != composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top)
| composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top) = complement(composition(skolemFOFtoCNF_X0_1,top)) ),
inference(subst,[],[refute_1_5:[bind(X,$fot(complement(composition(skolemFOFtoCNF_X0_1,top)))),bind(Y,$fot(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top)))]]) ).
cnf(refute_1_1522,plain,
complement(composition(skolemFOFtoCNF_X0_1,top)) != composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),
inference(resolve,[$cnf( $equal(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),complement(composition(skolemFOFtoCNF_X0_1,top))) )],[refute_1_1521,refute_1_1520]) ).
cnf(refute_1_1523,plain,
$false,
inference(resolve,[$cnf( $equal(complement(composition(skolemFOFtoCNF_X0_1,top)),composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top)) )],[refute_1_1512,refute_1_1522]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : REL050+4 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n026.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Fri Jul 8 08:40:54 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 6.62/6.79 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.62/6.79
% 6.62/6.79 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 6.79/7.01
%------------------------------------------------------------------------------