TSTP Solution File: REL050+2 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : REL050+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n029.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 19:46:23 EDT 2022
% Result : Theorem 6.68s 6.88s
% Output : CNFRefutation 7.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 156
% Number of leaves : 916
% Syntax : Number of formulae : 3777 (1883 unt; 0 def)
% Number of atoms : 6510 (6508 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 5474 (2741 ~;2728 |; 3 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 14 ( 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 : 3836 ( 78 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] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
inference(canonicalize,[],[converse_cancellativity]) ).
fof(normalize_0_3,plain,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
inference(specialize,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(canonicalize,[],[maddux1_join_commutativity]) ).
fof(normalize_0_5,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(specialize,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
! [X0,X1,X2] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
inference(canonicalize,[],[composition_associativity]) ).
fof(normalize_0_7,plain,
! [X0,X1,X2] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
inference(specialize,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(canonicalize,[],[converse_multiplicativity]) ).
fof(normalize_0_9,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(specialize,[],[normalize_0_8]) ).
fof(normalize_0_10,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(canonicalize,[],[def_zero]) ).
fof(normalize_0_11,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(specialize,[],[normalize_0_10]) ).
fof(normalize_0_12,plain,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
inference(canonicalize,[],[maddux4_definiton_of_meet]) ).
fof(normalize_0_13,plain,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
inference(specialize,[],[normalize_0_12]) ).
fof(normalize_0_14,plain,
! [X0] : top = join(X0,complement(X0)),
inference(canonicalize,[],[def_top]) ).
fof(normalize_0_15,plain,
! [X0] : top = join(X0,complement(X0)),
inference(specialize,[],[normalize_0_14]) ).
fof(normalize_0_16,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_17,plain,
! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
inference(specialize,[],[normalize_0_16]) ).
fof(normalize_0_18,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(canonicalize,[],[maddux2_join_associativity]) ).
fof(normalize_0_19,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(specialize,[],[normalize_0_18]) ).
fof(normalize_0_20,plain,
! [X0] : composition(X0,one) = X0,
inference(canonicalize,[],[composition_identity]) ).
fof(normalize_0_21,plain,
! [X0] : composition(X0,one) = X0,
inference(specialize,[],[normalize_0_20]) ).
fof(normalize_0_22,plain,
! [X0] : 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(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_2,plain,
join(X0,X1) = join(X1,X0),
inference(canonicalize,[],[normalize_0_5]) ).
cnf(refute_0_3,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_4,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_5,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_3,refute_0_4]) ).
cnf(refute_0_6,plain,
( join(X0,X1) != join(X1,X0)
| join(X1,X0) = join(X0,X1) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(join(X0,X1))),bind(Y,$fot(join(X1,X0)))]]) ).
cnf(refute_0_7,plain,
join(X1,X0) = join(X0,X1),
inference(resolve,[$cnf( $equal(join(X0,X1),join(X1,X0)) )],[refute_0_2,refute_0_6]) ).
cnf(refute_0_8,plain,
join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))),
inference(subst,[],[refute_0_7:[bind(X0,$fot(complement(X1))),bind(X1,$fot(composition(converse(X0),complement(composition(X0,X1)))))]]) ).
cnf(refute_0_9,plain,
( join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) != complement(X1)
| join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) != join(complement(X1),composition(converse(X0),complement(composition(X0,X1))))
| join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))) = complement(X1) ),
introduced(tautology,[equality,[$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_0_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( $equal(join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),join(complement(X1),composition(converse(X0),complement(composition(X0,X1))))) )],[refute_0_8,refute_0_9]) ).
cnf(refute_0_11,plain,
join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))) = complement(X1),
inference(resolve,[$cnf( $equal(join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),complement(X1)) )],[refute_0_1,refute_0_10]) ).
cnf(refute_0_12,plain,
join(complement(composition(X_151,X_152)),composition(converse(converse(complement(composition(X_151,top)))),complement(composition(converse(complement(composition(X_151,top))),composition(X_151,X_152))))) = complement(composition(X_151,X_152)),
inference(subst,[],[refute_0_11:[bind(X0,$fot(converse(complement(composition(X_151,top))))),bind(X1,$fot(composition(X_151,X_152)))]]) ).
cnf(refute_0_13,plain,
composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_14,plain,
composition(converse(complement(composition(X_146,top))),composition(X_146,X_147)) = composition(composition(converse(complement(composition(X_146,top))),X_146),X_147),
inference(subst,[],[refute_0_13:[bind(X0,$fot(converse(complement(composition(X_146,top))))),bind(X1,$fot(X_146)),bind(X2,$fot(X_147))]]) ).
cnf(refute_0_15,plain,
converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_16,plain,
converse(composition(converse(X_88),complement(composition(X_88,top)))) = composition(converse(complement(composition(X_88,top))),converse(converse(X_88))),
inference(subst,[],[refute_0_15:[bind(X0,$fot(converse(X_88))),bind(X1,$fot(complement(composition(X_88,top))))]]) ).
cnf(refute_0_17,plain,
join(complement(top),composition(converse(X_74),complement(composition(X_74,top)))) = complement(top),
inference(subst,[],[refute_0_11:[bind(X0,$fot(X_74)),bind(X1,$fot(top))]]) ).
cnf(refute_0_18,plain,
zero = meet(X0,complement(X0)),
inference(canonicalize,[],[normalize_0_11]) ).
cnf(refute_0_19,plain,
zero = meet(join(complement(X_6),complement(X_7)),complement(join(complement(X_6),complement(X_7)))),
inference(subst,[],[refute_0_18:[bind(X0,$fot(join(complement(X_6),complement(X_7))))]]) ).
cnf(refute_0_20,plain,
meet(X0,X1) = complement(join(complement(X0),complement(X1))),
inference(canonicalize,[],[normalize_0_13]) ).
cnf(refute_0_21,plain,
meet(X_6,X_7) = complement(join(complement(X_6),complement(X_7))),
inference(subst,[],[refute_0_20:[bind(X0,$fot(X_6)),bind(X1,$fot(X_7))]]) ).
cnf(refute_0_22,plain,
( meet(X_6,X_7) != complement(join(complement(X_6),complement(X_7)))
| complement(join(complement(X_6),complement(X_7))) = meet(X_6,X_7) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(meet(X_6,X_7))),bind(Y,$fot(complement(join(complement(X_6),complement(X_7)))))]]) ).
cnf(refute_0_23,plain,
complement(join(complement(X_6),complement(X_7))) = meet(X_6,X_7),
inference(resolve,[$cnf( $equal(meet(X_6,X_7),complement(join(complement(X_6),complement(X_7)))) )],[refute_0_21,refute_0_22]) ).
cnf(refute_0_24,plain,
( complement(join(complement(X_6),complement(X_7))) != meet(X_6,X_7)
| zero != meet(join(complement(X_6),complement(X_7)),complement(join(complement(X_6),complement(X_7))))
| zero = meet(join(complement(X_6),complement(X_7)),meet(X_6,X_7)) ),
introduced(tautology,[equality,[$cnf( $equal(zero,meet(join(complement(X_6),complement(X_7)),complement(join(complement(X_6),complement(X_7))))) ),[1,1],$fot(meet(X_6,X_7))]]) ).
cnf(refute_0_25,plain,
( zero != meet(join(complement(X_6),complement(X_7)),complement(join(complement(X_6),complement(X_7))))
| zero = meet(join(complement(X_6),complement(X_7)),meet(X_6,X_7)) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_6),complement(X_7))),meet(X_6,X_7)) )],[refute_0_23,refute_0_24]) ).
cnf(refute_0_26,plain,
zero = meet(join(complement(X_6),complement(X_7)),meet(X_6,X_7)),
inference(resolve,[$cnf( $equal(zero,meet(join(complement(X_6),complement(X_7)),complement(join(complement(X_6),complement(X_7))))) )],[refute_0_19,refute_0_25]) ).
cnf(refute_0_27,plain,
top = join(X0,complement(X0)),
inference(canonicalize,[],[normalize_0_15]) ).
cnf(refute_0_28,plain,
( top != join(X0,complement(X0))
| join(X0,complement(X0)) = top ),
inference(subst,[],[refute_0_5:[bind(X,$fot(top)),bind(Y,$fot(join(X0,complement(X0))))]]) ).
cnf(refute_0_29,plain,
join(X0,complement(X0)) = top,
inference(resolve,[$cnf( $equal(top,join(X0,complement(X0))) )],[refute_0_27,refute_0_28]) ).
cnf(refute_0_30,plain,
join(meet(X_6,X_7),complement(meet(X_6,X_7))) = top,
inference(subst,[],[refute_0_29:[bind(X0,$fot(meet(X_6,X_7)))]]) ).
cnf(refute_0_31,plain,
complement(join(meet(X_6,X_7),complement(meet(X_6,X_7)))) = complement(join(meet(X_6,X_7),complement(meet(X_6,X_7)))),
introduced(tautology,[refl,[$fot(complement(join(meet(X_6,X_7),complement(meet(X_6,X_7)))))]]) ).
cnf(refute_0_32,plain,
( complement(join(meet(X_6,X_7),complement(meet(X_6,X_7)))) != complement(join(meet(X_6,X_7),complement(meet(X_6,X_7))))
| join(meet(X_6,X_7),complement(meet(X_6,X_7))) != top
| complement(join(meet(X_6,X_7),complement(meet(X_6,X_7)))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(meet(X_6,X_7),complement(meet(X_6,X_7)))),complement(join(meet(X_6,X_7),complement(meet(X_6,X_7))))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_33,plain,
( join(meet(X_6,X_7),complement(meet(X_6,X_7))) != top
| complement(join(meet(X_6,X_7),complement(meet(X_6,X_7)))) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(join(meet(X_6,X_7),complement(meet(X_6,X_7)))),complement(join(meet(X_6,X_7),complement(meet(X_6,X_7))))) )],[refute_0_31,refute_0_32]) ).
cnf(refute_0_34,plain,
complement(join(meet(X_6,X_7),complement(meet(X_6,X_7)))) = complement(top),
inference(resolve,[$cnf( $equal(join(meet(X_6,X_7),complement(meet(X_6,X_7))),top) )],[refute_0_30,refute_0_33]) ).
cnf(refute_0_35,plain,
meet(join(complement(X_6),complement(X_7)),X1) = complement(join(complement(join(complement(X_6),complement(X_7))),complement(X1))),
inference(subst,[],[refute_0_20:[bind(X0,$fot(join(complement(X_6),complement(X_7))))]]) ).
cnf(refute_0_36,plain,
( complement(join(complement(X_6),complement(X_7))) != meet(X_6,X_7)
| meet(join(complement(X_6),complement(X_7)),X1) != complement(join(complement(join(complement(X_6),complement(X_7))),complement(X1)))
| meet(join(complement(X_6),complement(X_7)),X1) = complement(join(meet(X_6,X_7),complement(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(complement(X_6),complement(X_7)),X1),complement(join(complement(join(complement(X_6),complement(X_7))),complement(X1)))) ),[1,0,0],$fot(meet(X_6,X_7))]]) ).
cnf(refute_0_37,plain,
( meet(join(complement(X_6),complement(X_7)),X1) != complement(join(complement(join(complement(X_6),complement(X_7))),complement(X1)))
| meet(join(complement(X_6),complement(X_7)),X1) = complement(join(meet(X_6,X_7),complement(X1))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_6),complement(X_7))),meet(X_6,X_7)) )],[refute_0_23,refute_0_36]) ).
cnf(refute_0_38,plain,
meet(join(complement(X_6),complement(X_7)),X1) = complement(join(meet(X_6,X_7),complement(X1))),
inference(resolve,[$cnf( $equal(meet(join(complement(X_6),complement(X_7)),X1),complement(join(complement(join(complement(X_6),complement(X_7))),complement(X1)))) )],[refute_0_35,refute_0_37]) ).
cnf(refute_0_39,plain,
meet(join(complement(X_6),complement(X_7)),meet(X_6,X_7)) = complement(join(meet(X_6,X_7),complement(meet(X_6,X_7)))),
inference(subst,[],[refute_0_38:[bind(X1,$fot(meet(X_6,X_7)))]]) ).
cnf(refute_0_40,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_41,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_5,refute_0_40]) ).
cnf(refute_0_42,plain,
( complement(join(meet(X_6,X_7),complement(meet(X_6,X_7)))) != complement(top)
| meet(join(complement(X_6),complement(X_7)),meet(X_6,X_7)) != complement(join(meet(X_6,X_7),complement(meet(X_6,X_7))))
| meet(join(complement(X_6),complement(X_7)),meet(X_6,X_7)) = complement(top) ),
inference(subst,[],[refute_0_41:[bind(X,$fot(meet(join(complement(X_6),complement(X_7)),meet(X_6,X_7)))),bind(Y,$fot(complement(join(meet(X_6,X_7),complement(meet(X_6,X_7)))))),bind(Z,$fot(complement(top)))]]) ).
cnf(refute_0_43,plain,
( complement(join(meet(X_6,X_7),complement(meet(X_6,X_7)))) != complement(top)
| meet(join(complement(X_6),complement(X_7)),meet(X_6,X_7)) = complement(top) ),
inference(resolve,[$cnf( $equal(meet(join(complement(X_6),complement(X_7)),meet(X_6,X_7)),complement(join(meet(X_6,X_7),complement(meet(X_6,X_7))))) )],[refute_0_39,refute_0_42]) ).
cnf(refute_0_44,plain,
meet(join(complement(X_6),complement(X_7)),meet(X_6,X_7)) = complement(top),
inference(resolve,[$cnf( $equal(complement(join(meet(X_6,X_7),complement(meet(X_6,X_7)))),complement(top)) )],[refute_0_34,refute_0_43]) ).
cnf(refute_0_45,plain,
( meet(join(complement(X_6),complement(X_7)),meet(X_6,X_7)) != complement(top)
| zero != meet(join(complement(X_6),complement(X_7)),meet(X_6,X_7))
| zero = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(zero,meet(join(complement(X_6),complement(X_7)),meet(X_6,X_7))) ),[1],$fot(complement(top))]]) ).
cnf(refute_0_46,plain,
( zero != meet(join(complement(X_6),complement(X_7)),meet(X_6,X_7))
| zero = complement(top) ),
inference(resolve,[$cnf( $equal(meet(join(complement(X_6),complement(X_7)),meet(X_6,X_7)),complement(top)) )],[refute_0_44,refute_0_45]) ).
cnf(refute_0_47,plain,
zero = complement(top),
inference(resolve,[$cnf( $equal(zero,meet(join(complement(X_6),complement(X_7)),meet(X_6,X_7))) )],[refute_0_26,refute_0_46]) ).
cnf(refute_0_48,plain,
( zero != complement(top)
| complement(top) = zero ),
inference(subst,[],[refute_0_5:[bind(X,$fot(zero)),bind(Y,$fot(complement(top)))]]) ).
cnf(refute_0_49,plain,
complement(top) = zero,
inference(resolve,[$cnf( $equal(zero,complement(top)) )],[refute_0_47,refute_0_48]) ).
cnf(refute_0_50,plain,
( complement(top) != zero
| join(complement(top),composition(converse(X_74),complement(composition(X_74,top)))) != complement(top)
| join(zero,composition(converse(X_74),complement(composition(X_74,top)))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),composition(converse(X_74),complement(composition(X_74,top)))),complement(top)) ),[0,0],$fot(zero)]]) ).
cnf(refute_0_51,plain,
( join(complement(top),composition(converse(X_74),complement(composition(X_74,top)))) != complement(top)
| join(zero,composition(converse(X_74),complement(composition(X_74,top)))) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_49,refute_0_50]) ).
cnf(refute_0_52,plain,
join(zero,composition(converse(X_74),complement(composition(X_74,top)))) = complement(top),
inference(resolve,[$cnf( $equal(join(complement(top),composition(converse(X_74),complement(composition(X_74,top)))),complement(top)) )],[refute_0_17,refute_0_51]) ).
cnf(refute_0_53,plain,
( complement(top) != zero
| join(zero,composition(converse(X_74),complement(composition(X_74,top)))) != complement(top)
| join(zero,composition(converse(X_74),complement(composition(X_74,top)))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,composition(converse(X_74),complement(composition(X_74,top)))),complement(top)) ),[1],$fot(zero)]]) ).
cnf(refute_0_54,plain,
( join(zero,composition(converse(X_74),complement(composition(X_74,top)))) != complement(top)
| join(zero,composition(converse(X_74),complement(composition(X_74,top)))) = zero ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_49,refute_0_53]) ).
cnf(refute_0_55,plain,
join(zero,composition(converse(X_74),complement(composition(X_74,top)))) = zero,
inference(resolve,[$cnf( $equal(join(zero,composition(converse(X_74),complement(composition(X_74,top)))),complement(top)) )],[refute_0_52,refute_0_54]) ).
cnf(refute_0_56,plain,
X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
inference(canonicalize,[],[normalize_0_17]) ).
cnf(refute_0_57,plain,
join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),
inference(subst,[],[refute_0_7:[bind(X0,$fot(complement(join(complement(X0),X1)))),bind(X1,$fot(complement(join(complement(X0),complement(X1)))))]]) ).
cnf(refute_0_58,plain,
( X0 != join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1)))
| join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) != join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1))))
| X0 = join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) ),
introduced(tautology,[equality,[$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_59,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( $equal(join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1))))) )],[refute_0_57,refute_0_58]) ).
cnf(refute_0_60,plain,
X0 = join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),
inference(resolve,[$cnf( $equal(X0,join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1)))) )],[refute_0_56,refute_0_59]) ).
cnf(refute_0_61,plain,
join(complement(join(complement(X0),X1)),meet(X0,X1)) = join(meet(X0,X1),complement(join(complement(X0),X1))),
inference(subst,[],[refute_0_7:[bind(X0,$fot(meet(X0,X1))),bind(X1,$fot(complement(join(complement(X0),X1))))]]) ).
cnf(refute_0_62,plain,
( meet(X0,X1) != complement(join(complement(X0),complement(X1)))
| complement(join(complement(X0),complement(X1))) = meet(X0,X1) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(meet(X0,X1))),bind(Y,$fot(complement(join(complement(X0),complement(X1)))))]]) ).
cnf(refute_0_63,plain,
complement(join(complement(X0),complement(X1))) = meet(X0,X1),
inference(resolve,[$cnf( $equal(meet(X0,X1),complement(join(complement(X0),complement(X1)))) )],[refute_0_20,refute_0_62]) ).
cnf(refute_0_64,plain,
join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),
introduced(tautology,[refl,[$fot(join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))))]]) ).
cnf(refute_0_65,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_66,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( $equal(join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1))))) )],[refute_0_64,refute_0_65]) ).
cnf(refute_0_67,plain,
join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = join(complement(join(complement(X0),X1)),meet(X0,X1)),
inference(resolve,[$cnf( $equal(complement(join(complement(X0),complement(X1))),meet(X0,X1)) )],[refute_0_63,refute_0_66]) ).
cnf(refute_0_68,plain,
( join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) != join(complement(join(complement(X0),X1)),meet(X0,X1))
| join(complement(join(complement(X0),X1)),meet(X0,X1)) != join(meet(X0,X1),complement(join(complement(X0),X1)))
| join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = join(meet(X0,X1),complement(join(complement(X0),X1))) ),
inference(subst,[],[refute_0_41:[bind(X,$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_69,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( $equal(join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),join(complement(join(complement(X0),X1)),meet(X0,X1))) )],[refute_0_67,refute_0_68]) ).
cnf(refute_0_70,plain,
join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = join(meet(X0,X1),complement(join(complement(X0),X1))),
inference(resolve,[$cnf( $equal(join(complement(join(complement(X0),X1)),meet(X0,X1)),join(meet(X0,X1),complement(join(complement(X0),X1)))) )],[refute_0_61,refute_0_69]) ).
cnf(refute_0_71,plain,
( X0 != join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1))))
| join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) != join(meet(X0,X1),complement(join(complement(X0),X1)))
| X0 = join(meet(X0,X1),complement(join(complement(X0),X1))) ),
introduced(tautology,[equality,[$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_72,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( $equal(join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),join(meet(X0,X1),complement(join(complement(X0),X1)))) )],[refute_0_70,refute_0_71]) ).
cnf(refute_0_73,plain,
X0 = join(meet(X0,X1),complement(join(complement(X0),X1))),
inference(resolve,[$cnf( $equal(X0,join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1))))) )],[refute_0_60,refute_0_72]) ).
cnf(refute_0_74,plain,
X_29 = join(meet(X_29,complement(complement(X_29))),complement(join(complement(X_29),complement(complement(X_29))))),
inference(subst,[],[refute_0_73:[bind(X0,$fot(X_29)),bind(X1,$fot(complement(complement(X_29))))]]) ).
cnf(refute_0_75,plain,
top = join(complement(X_29),complement(complement(X_29))),
inference(subst,[],[refute_0_27:[bind(X0,$fot(complement(X_29)))]]) ).
cnf(refute_0_76,plain,
( top != join(complement(X_29),complement(complement(X_29)))
| join(complement(X_29),complement(complement(X_29))) = top ),
inference(subst,[],[refute_0_5:[bind(X,$fot(top)),bind(Y,$fot(join(complement(X_29),complement(complement(X_29)))))]]) ).
cnf(refute_0_77,plain,
join(complement(X_29),complement(complement(X_29))) = top,
inference(resolve,[$cnf( $equal(top,join(complement(X_29),complement(complement(X_29)))) )],[refute_0_75,refute_0_76]) ).
cnf(refute_0_78,plain,
( X_29 != join(meet(X_29,complement(complement(X_29))),complement(join(complement(X_29),complement(complement(X_29)))))
| join(complement(X_29),complement(complement(X_29))) != top
| X_29 = join(meet(X_29,complement(complement(X_29))),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(X_29,join(meet(X_29,complement(complement(X_29))),complement(join(complement(X_29),complement(complement(X_29)))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_0_79,plain,
( X_29 != join(meet(X_29,complement(complement(X_29))),complement(join(complement(X_29),complement(complement(X_29)))))
| X_29 = join(meet(X_29,complement(complement(X_29))),complement(top)) ),
inference(resolve,[$cnf( $equal(join(complement(X_29),complement(complement(X_29))),top) )],[refute_0_77,refute_0_78]) ).
cnf(refute_0_80,plain,
X_29 = join(meet(X_29,complement(complement(X_29))),complement(top)),
inference(resolve,[$cnf( $equal(X_29,join(meet(X_29,complement(complement(X_29))),complement(join(complement(X_29),complement(complement(X_29)))))) )],[refute_0_74,refute_0_79]) ).
cnf(refute_0_81,plain,
join(complement(top),meet(X_29,complement(complement(X_29)))) = join(complement(top),meet(X_29,complement(complement(X_29)))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(X_29,complement(complement(X_29)))))]]) ).
cnf(refute_0_82,plain,
( complement(top) != zero
| join(complement(top),meet(X_29,complement(complement(X_29)))) != join(complement(top),meet(X_29,complement(complement(X_29))))
| join(complement(top),meet(X_29,complement(complement(X_29)))) = join(zero,meet(X_29,complement(complement(X_29)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(X_29,complement(complement(X_29)))),join(complement(top),meet(X_29,complement(complement(X_29))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_83,plain,
( complement(top) != zero
| join(complement(top),meet(X_29,complement(complement(X_29)))) = join(zero,meet(X_29,complement(complement(X_29)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_29,complement(complement(X_29)))),join(complement(top),meet(X_29,complement(complement(X_29))))) )],[refute_0_81,refute_0_82]) ).
cnf(refute_0_84,plain,
join(complement(top),meet(X_29,complement(complement(X_29)))) = join(zero,meet(X_29,complement(complement(X_29)))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_49,refute_0_83]) ).
cnf(refute_0_85,plain,
join(meet(X_29,complement(complement(X_29))),complement(top)) = join(complement(top),meet(X_29,complement(complement(X_29)))),
inference(subst,[],[refute_0_7:[bind(X0,$fot(complement(top))),bind(X1,$fot(meet(X_29,complement(complement(X_29)))))]]) ).
cnf(refute_0_86,plain,
( join(complement(top),meet(X_29,complement(complement(X_29)))) != join(zero,meet(X_29,complement(complement(X_29))))
| join(meet(X_29,complement(complement(X_29))),complement(top)) != join(complement(top),meet(X_29,complement(complement(X_29))))
| join(meet(X_29,complement(complement(X_29))),complement(top)) = join(zero,meet(X_29,complement(complement(X_29)))) ),
inference(subst,[],[refute_0_41:[bind(X,$fot(join(meet(X_29,complement(complement(X_29))),complement(top)))),bind(Y,$fot(join(complement(top),meet(X_29,complement(complement(X_29)))))),bind(Z,$fot(join(zero,meet(X_29,complement(complement(X_29))))))]]) ).
cnf(refute_0_87,plain,
( join(complement(top),meet(X_29,complement(complement(X_29)))) != join(zero,meet(X_29,complement(complement(X_29))))
| join(meet(X_29,complement(complement(X_29))),complement(top)) = join(zero,meet(X_29,complement(complement(X_29)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_29,complement(complement(X_29))),complement(top)),join(complement(top),meet(X_29,complement(complement(X_29))))) )],[refute_0_85,refute_0_86]) ).
cnf(refute_0_88,plain,
join(meet(X_29,complement(complement(X_29))),complement(top)) = join(zero,meet(X_29,complement(complement(X_29)))),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_29,complement(complement(X_29)))),join(zero,meet(X_29,complement(complement(X_29))))) )],[refute_0_84,refute_0_87]) ).
cnf(refute_0_89,plain,
( X_29 != join(meet(X_29,complement(complement(X_29))),complement(top))
| join(meet(X_29,complement(complement(X_29))),complement(top)) != join(zero,meet(X_29,complement(complement(X_29))))
| X_29 = join(zero,meet(X_29,complement(complement(X_29)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_29,join(zero,meet(X_29,complement(complement(X_29))))) ),[0],$fot(join(meet(X_29,complement(complement(X_29))),complement(top)))]]) ).
cnf(refute_0_90,plain,
( X_29 != join(meet(X_29,complement(complement(X_29))),complement(top))
| X_29 = join(zero,meet(X_29,complement(complement(X_29)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_29,complement(complement(X_29))),complement(top)),join(zero,meet(X_29,complement(complement(X_29))))) )],[refute_0_88,refute_0_89]) ).
cnf(refute_0_91,plain,
X_29 = join(zero,meet(X_29,complement(complement(X_29)))),
inference(resolve,[$cnf( $equal(X_29,join(meet(X_29,complement(complement(X_29))),complement(top))) )],[refute_0_80,refute_0_90]) ).
cnf(refute_0_92,plain,
meet(top,X1) = complement(join(complement(top),complement(X1))),
inference(subst,[],[refute_0_20:[bind(X0,$fot(top))]]) ).
cnf(refute_0_93,plain,
( complement(top) != zero
| meet(top,X1) != complement(join(complement(top),complement(X1)))
| meet(top,X1) = complement(join(zero,complement(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,X1),complement(join(complement(top),complement(X1)))) ),[1,0,0],$fot(zero)]]) ).
cnf(refute_0_94,plain,
( meet(top,X1) != complement(join(complement(top),complement(X1)))
| meet(top,X1) = complement(join(zero,complement(X1))) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_49,refute_0_93]) ).
cnf(refute_0_95,plain,
meet(top,X1) = complement(join(zero,complement(X1))),
inference(resolve,[$cnf( $equal(meet(top,X1),complement(join(complement(top),complement(X1)))) )],[refute_0_92,refute_0_94]) ).
cnf(refute_0_96,plain,
X_29 = join(meet(X_29,join(complement(X_7),meet(X_29,X_7))),complement(join(complement(X_29),join(complement(X_7),meet(X_29,X_7))))),
inference(subst,[],[refute_0_73:[bind(X0,$fot(X_29)),bind(X1,$fot(join(complement(X_7),meet(X_29,X_7))))]]) ).
cnf(refute_0_97,plain,
top = join(join(complement(X_6),complement(X_7)),complement(join(complement(X_6),complement(X_7)))),
inference(subst,[],[refute_0_27:[bind(X0,$fot(join(complement(X_6),complement(X_7))))]]) ).
cnf(refute_0_98,plain,
( complement(join(complement(X_6),complement(X_7))) != meet(X_6,X_7)
| top != join(join(complement(X_6),complement(X_7)),complement(join(complement(X_6),complement(X_7))))
| top = join(join(complement(X_6),complement(X_7)),meet(X_6,X_7)) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(join(complement(X_6),complement(X_7)),complement(join(complement(X_6),complement(X_7))))) ),[1,1],$fot(meet(X_6,X_7))]]) ).
cnf(refute_0_99,plain,
( top != join(join(complement(X_6),complement(X_7)),complement(join(complement(X_6),complement(X_7))))
| top = join(join(complement(X_6),complement(X_7)),meet(X_6,X_7)) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_6),complement(X_7))),meet(X_6,X_7)) )],[refute_0_23,refute_0_98]) ).
cnf(refute_0_100,plain,
top = join(join(complement(X_6),complement(X_7)),meet(X_6,X_7)),
inference(resolve,[$cnf( $equal(top,join(join(complement(X_6),complement(X_7)),complement(join(complement(X_6),complement(X_7))))) )],[refute_0_97,refute_0_99]) ).
cnf(refute_0_101,plain,
join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(canonicalize,[],[normalize_0_19]) ).
cnf(refute_0_102,plain,
( join(X0,join(X1,X2)) != join(join(X0,X1),X2)
| join(join(X0,X1),X2) = join(X0,join(X1,X2)) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(join(X0,join(X1,X2)))),bind(Y,$fot(join(join(X0,X1),X2)))]]) ).
cnf(refute_0_103,plain,
join(join(X0,X1),X2) = join(X0,join(X1,X2)),
inference(resolve,[$cnf( $equal(join(X0,join(X1,X2)),join(join(X0,X1),X2)) )],[refute_0_101,refute_0_102]) ).
cnf(refute_0_104,plain,
join(join(complement(X_6),complement(X_7)),meet(X_6,X_7)) = join(complement(X_6),join(complement(X_7),meet(X_6,X_7))),
inference(subst,[],[refute_0_103:[bind(X0,$fot(complement(X_6))),bind(X1,$fot(complement(X_7))),bind(X2,$fot(meet(X_6,X_7)))]]) ).
cnf(refute_0_105,plain,
( join(join(complement(X_6),complement(X_7)),meet(X_6,X_7)) != join(complement(X_6),join(complement(X_7),meet(X_6,X_7)))
| top != join(join(complement(X_6),complement(X_7)),meet(X_6,X_7))
| top = join(complement(X_6),join(complement(X_7),meet(X_6,X_7))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(join(complement(X_6),complement(X_7)),meet(X_6,X_7))) ),[1],$fot(join(complement(X_6),join(complement(X_7),meet(X_6,X_7))))]]) ).
cnf(refute_0_106,plain,
( top != join(join(complement(X_6),complement(X_7)),meet(X_6,X_7))
| top = join(complement(X_6),join(complement(X_7),meet(X_6,X_7))) ),
inference(resolve,[$cnf( $equal(join(join(complement(X_6),complement(X_7)),meet(X_6,X_7)),join(complement(X_6),join(complement(X_7),meet(X_6,X_7)))) )],[refute_0_104,refute_0_105]) ).
cnf(refute_0_107,plain,
top = join(complement(X_6),join(complement(X_7),meet(X_6,X_7))),
inference(resolve,[$cnf( $equal(top,join(join(complement(X_6),complement(X_7)),meet(X_6,X_7))) )],[refute_0_100,refute_0_106]) ).
cnf(refute_0_108,plain,
top = join(complement(X_29),join(complement(X_7),meet(X_29,X_7))),
inference(subst,[],[refute_0_107:[bind(X_6,$fot(X_29))]]) ).
cnf(refute_0_109,plain,
( top != join(complement(X_29),join(complement(X_7),meet(X_29,X_7)))
| join(complement(X_29),join(complement(X_7),meet(X_29,X_7))) = top ),
inference(subst,[],[refute_0_5:[bind(X,$fot(top)),bind(Y,$fot(join(complement(X_29),join(complement(X_7),meet(X_29,X_7)))))]]) ).
cnf(refute_0_110,plain,
join(complement(X_29),join(complement(X_7),meet(X_29,X_7))) = top,
inference(resolve,[$cnf( $equal(top,join(complement(X_29),join(complement(X_7),meet(X_29,X_7)))) )],[refute_0_108,refute_0_109]) ).
cnf(refute_0_111,plain,
( X_29 != join(meet(X_29,join(complement(X_7),meet(X_29,X_7))),complement(join(complement(X_29),join(complement(X_7),meet(X_29,X_7)))))
| join(complement(X_29),join(complement(X_7),meet(X_29,X_7))) != top
| X_29 = join(meet(X_29,join(complement(X_7),meet(X_29,X_7))),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(X_29,join(meet(X_29,join(complement(X_7),meet(X_29,X_7))),complement(join(complement(X_29),join(complement(X_7),meet(X_29,X_7)))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_0_112,plain,
( X_29 != join(meet(X_29,join(complement(X_7),meet(X_29,X_7))),complement(join(complement(X_29),join(complement(X_7),meet(X_29,X_7)))))
| X_29 = join(meet(X_29,join(complement(X_7),meet(X_29,X_7))),complement(top)) ),
inference(resolve,[$cnf( $equal(join(complement(X_29),join(complement(X_7),meet(X_29,X_7))),top) )],[refute_0_110,refute_0_111]) ).
cnf(refute_0_113,plain,
X_29 = join(meet(X_29,join(complement(X_7),meet(X_29,X_7))),complement(top)),
inference(resolve,[$cnf( $equal(X_29,join(meet(X_29,join(complement(X_7),meet(X_29,X_7))),complement(join(complement(X_29),join(complement(X_7),meet(X_29,X_7)))))) )],[refute_0_96,refute_0_112]) ).
cnf(refute_0_114,plain,
join(complement(top),meet(X_29,join(complement(X_7),meet(X_29,X_7)))) = join(complement(top),meet(X_29,join(complement(X_7),meet(X_29,X_7)))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(X_29,join(complement(X_7),meet(X_29,X_7)))))]]) ).
cnf(refute_0_115,plain,
( complement(top) != zero
| join(complement(top),meet(X_29,join(complement(X_7),meet(X_29,X_7)))) != join(complement(top),meet(X_29,join(complement(X_7),meet(X_29,X_7))))
| join(complement(top),meet(X_29,join(complement(X_7),meet(X_29,X_7)))) = join(zero,meet(X_29,join(complement(X_7),meet(X_29,X_7)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(X_29,join(complement(X_7),meet(X_29,X_7)))),join(complement(top),meet(X_29,join(complement(X_7),meet(X_29,X_7))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_116,plain,
( complement(top) != zero
| join(complement(top),meet(X_29,join(complement(X_7),meet(X_29,X_7)))) = join(zero,meet(X_29,join(complement(X_7),meet(X_29,X_7)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_29,join(complement(X_7),meet(X_29,X_7)))),join(complement(top),meet(X_29,join(complement(X_7),meet(X_29,X_7))))) )],[refute_0_114,refute_0_115]) ).
cnf(refute_0_117,plain,
join(complement(top),meet(X_29,join(complement(X_7),meet(X_29,X_7)))) = join(zero,meet(X_29,join(complement(X_7),meet(X_29,X_7)))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_49,refute_0_116]) ).
cnf(refute_0_118,plain,
join(meet(X_29,join(complement(X_7),meet(X_29,X_7))),complement(top)) = join(complement(top),meet(X_29,join(complement(X_7),meet(X_29,X_7)))),
inference(subst,[],[refute_0_7:[bind(X0,$fot(complement(top))),bind(X1,$fot(meet(X_29,join(complement(X_7),meet(X_29,X_7)))))]]) ).
cnf(refute_0_119,plain,
( join(complement(top),meet(X_29,join(complement(X_7),meet(X_29,X_7)))) != join(zero,meet(X_29,join(complement(X_7),meet(X_29,X_7))))
| join(meet(X_29,join(complement(X_7),meet(X_29,X_7))),complement(top)) != join(complement(top),meet(X_29,join(complement(X_7),meet(X_29,X_7))))
| join(meet(X_29,join(complement(X_7),meet(X_29,X_7))),complement(top)) = join(zero,meet(X_29,join(complement(X_7),meet(X_29,X_7)))) ),
inference(subst,[],[refute_0_41:[bind(X,$fot(join(meet(X_29,join(complement(X_7),meet(X_29,X_7))),complement(top)))),bind(Y,$fot(join(complement(top),meet(X_29,join(complement(X_7),meet(X_29,X_7)))))),bind(Z,$fot(join(zero,meet(X_29,join(complement(X_7),meet(X_29,X_7))))))]]) ).
cnf(refute_0_120,plain,
( join(complement(top),meet(X_29,join(complement(X_7),meet(X_29,X_7)))) != join(zero,meet(X_29,join(complement(X_7),meet(X_29,X_7))))
| join(meet(X_29,join(complement(X_7),meet(X_29,X_7))),complement(top)) = join(zero,meet(X_29,join(complement(X_7),meet(X_29,X_7)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_29,join(complement(X_7),meet(X_29,X_7))),complement(top)),join(complement(top),meet(X_29,join(complement(X_7),meet(X_29,X_7))))) )],[refute_0_118,refute_0_119]) ).
cnf(refute_0_121,plain,
join(meet(X_29,join(complement(X_7),meet(X_29,X_7))),complement(top)) = join(zero,meet(X_29,join(complement(X_7),meet(X_29,X_7)))),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_29,join(complement(X_7),meet(X_29,X_7)))),join(zero,meet(X_29,join(complement(X_7),meet(X_29,X_7))))) )],[refute_0_117,refute_0_120]) ).
cnf(refute_0_122,plain,
( X_29 != join(meet(X_29,join(complement(X_7),meet(X_29,X_7))),complement(top))
| join(meet(X_29,join(complement(X_7),meet(X_29,X_7))),complement(top)) != join(zero,meet(X_29,join(complement(X_7),meet(X_29,X_7))))
| X_29 = join(zero,meet(X_29,join(complement(X_7),meet(X_29,X_7)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_29,join(zero,meet(X_29,join(complement(X_7),meet(X_29,X_7))))) ),[0],$fot(join(meet(X_29,join(complement(X_7),meet(X_29,X_7))),complement(top)))]]) ).
cnf(refute_0_123,plain,
( X_29 != join(meet(X_29,join(complement(X_7),meet(X_29,X_7))),complement(top))
| X_29 = join(zero,meet(X_29,join(complement(X_7),meet(X_29,X_7)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_29,join(complement(X_7),meet(X_29,X_7))),complement(top)),join(zero,meet(X_29,join(complement(X_7),meet(X_29,X_7))))) )],[refute_0_121,refute_0_122]) ).
cnf(refute_0_124,plain,
X_29 = join(zero,meet(X_29,join(complement(X_7),meet(X_29,X_7)))),
inference(resolve,[$cnf( $equal(X_29,join(meet(X_29,join(complement(X_7),meet(X_29,X_7))),complement(top))) )],[refute_0_113,refute_0_123]) ).
cnf(refute_0_125,plain,
meet(top,X_10) = join(zero,meet(meet(top,X_10),join(complement(join(zero,complement(X_10))),meet(meet(top,X_10),join(zero,complement(X_10)))))),
inference(subst,[],[refute_0_124:[bind(X_29,$fot(meet(top,X_10))),bind(X_7,$fot(join(zero,complement(X_10))))]]) ).
cnf(refute_0_126,plain,
zero = meet(join(zero,complement(X_10)),complement(join(zero,complement(X_10)))),
inference(subst,[],[refute_0_18:[bind(X0,$fot(join(zero,complement(X_10))))]]) ).
cnf(refute_0_127,plain,
meet(top,X_10) = complement(join(zero,complement(X_10))),
inference(subst,[],[refute_0_95:[bind(X1,$fot(X_10))]]) ).
cnf(refute_0_128,plain,
( meet(top,X_10) != complement(join(zero,complement(X_10)))
| complement(join(zero,complement(X_10))) = meet(top,X_10) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(meet(top,X_10))),bind(Y,$fot(complement(join(zero,complement(X_10)))))]]) ).
cnf(refute_0_129,plain,
complement(join(zero,complement(X_10))) = meet(top,X_10),
inference(resolve,[$cnf( $equal(meet(top,X_10),complement(join(zero,complement(X_10)))) )],[refute_0_127,refute_0_128]) ).
cnf(refute_0_130,plain,
( complement(join(zero,complement(X_10))) != meet(top,X_10)
| zero != meet(join(zero,complement(X_10)),complement(join(zero,complement(X_10))))
| zero = meet(join(zero,complement(X_10)),meet(top,X_10)) ),
introduced(tautology,[equality,[$cnf( $equal(zero,meet(join(zero,complement(X_10)),complement(join(zero,complement(X_10))))) ),[1,1],$fot(meet(top,X_10))]]) ).
cnf(refute_0_131,plain,
( zero != meet(join(zero,complement(X_10)),complement(join(zero,complement(X_10))))
| zero = meet(join(zero,complement(X_10)),meet(top,X_10)) ),
inference(resolve,[$cnf( $equal(complement(join(zero,complement(X_10))),meet(top,X_10)) )],[refute_0_129,refute_0_130]) ).
cnf(refute_0_132,plain,
zero = meet(join(zero,complement(X_10)),meet(top,X_10)),
inference(resolve,[$cnf( $equal(zero,meet(join(zero,complement(X_10)),complement(join(zero,complement(X_10))))) )],[refute_0_126,refute_0_131]) ).
cnf(refute_0_133,plain,
join(complement(X_7),complement(X_6)) = join(complement(X_6),complement(X_7)),
inference(subst,[],[refute_0_2:[bind(X0,$fot(complement(X_7))),bind(X1,$fot(complement(X_6)))]]) ).
cnf(refute_0_134,plain,
( join(complement(X_7),complement(X_6)) != join(complement(X_6),complement(X_7))
| join(complement(X_6),complement(X_7)) = join(complement(X_7),complement(X_6)) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(join(complement(X_7),complement(X_6)))),bind(Y,$fot(join(complement(X_6),complement(X_7))))]]) ).
cnf(refute_0_135,plain,
join(complement(X_6),complement(X_7)) = join(complement(X_7),complement(X_6)),
inference(resolve,[$cnf( $equal(join(complement(X_7),complement(X_6)),join(complement(X_6),complement(X_7))) )],[refute_0_133,refute_0_134]) ).
cnf(refute_0_136,plain,
( join(complement(X_6),complement(X_7)) != join(complement(X_7),complement(X_6))
| meet(X_6,X_7) != complement(join(complement(X_6),complement(X_7)))
| meet(X_6,X_7) = complement(join(complement(X_7),complement(X_6))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_6,X_7),complement(join(complement(X_6),complement(X_7)))) ),[1,0],$fot(join(complement(X_7),complement(X_6)))]]) ).
cnf(refute_0_137,plain,
( meet(X_6,X_7) != complement(join(complement(X_6),complement(X_7)))
| meet(X_6,X_7) = complement(join(complement(X_7),complement(X_6))) ),
inference(resolve,[$cnf( $equal(join(complement(X_6),complement(X_7)),join(complement(X_7),complement(X_6))) )],[refute_0_135,refute_0_136]) ).
cnf(refute_0_138,plain,
meet(X_6,X_7) = complement(join(complement(X_7),complement(X_6))),
inference(resolve,[$cnf( $equal(meet(X_6,X_7),complement(join(complement(X_6),complement(X_7)))) )],[refute_0_21,refute_0_137]) ).
cnf(refute_0_139,plain,
complement(join(complement(X_7),complement(X_6))) = meet(X_7,X_6),
inference(subst,[],[refute_0_63:[bind(X0,$fot(X_7)),bind(X1,$fot(X_6))]]) ).
cnf(refute_0_140,plain,
( complement(join(complement(X_7),complement(X_6))) != meet(X_7,X_6)
| meet(X_6,X_7) != complement(join(complement(X_7),complement(X_6)))
| meet(X_6,X_7) = meet(X_7,X_6) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_6,X_7),complement(join(complement(X_7),complement(X_6)))) ),[1],$fot(meet(X_7,X_6))]]) ).
cnf(refute_0_141,plain,
( meet(X_6,X_7) != complement(join(complement(X_7),complement(X_6)))
| meet(X_6,X_7) = meet(X_7,X_6) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_7),complement(X_6))),meet(X_7,X_6)) )],[refute_0_139,refute_0_140]) ).
cnf(refute_0_142,plain,
meet(X_6,X_7) = meet(X_7,X_6),
inference(resolve,[$cnf( $equal(meet(X_6,X_7),complement(join(complement(X_7),complement(X_6)))) )],[refute_0_138,refute_0_141]) ).
cnf(refute_0_143,plain,
( meet(X_6,X_7) != meet(X_7,X_6)
| meet(X_7,X_6) = meet(X_6,X_7) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(meet(X_6,X_7))),bind(Y,$fot(meet(X_7,X_6)))]]) ).
cnf(refute_0_144,plain,
meet(X_7,X_6) = meet(X_6,X_7),
inference(resolve,[$cnf( $equal(meet(X_6,X_7),meet(X_7,X_6)) )],[refute_0_142,refute_0_143]) ).
cnf(refute_0_145,plain,
meet(join(zero,complement(X_10)),meet(top,X_10)) = meet(meet(top,X_10),join(zero,complement(X_10))),
inference(subst,[],[refute_0_144:[bind(X_6,$fot(meet(top,X_10))),bind(X_7,$fot(join(zero,complement(X_10))))]]) ).
cnf(refute_0_146,plain,
( meet(join(zero,complement(X_10)),meet(top,X_10)) != meet(meet(top,X_10),join(zero,complement(X_10)))
| zero != meet(join(zero,complement(X_10)),meet(top,X_10))
| zero = meet(meet(top,X_10),join(zero,complement(X_10))) ),
introduced(tautology,[equality,[$cnf( $equal(zero,meet(join(zero,complement(X_10)),meet(top,X_10))) ),[1],$fot(meet(meet(top,X_10),join(zero,complement(X_10))))]]) ).
cnf(refute_0_147,plain,
( zero != meet(join(zero,complement(X_10)),meet(top,X_10))
| zero = meet(meet(top,X_10),join(zero,complement(X_10))) ),
inference(resolve,[$cnf( $equal(meet(join(zero,complement(X_10)),meet(top,X_10)),meet(meet(top,X_10),join(zero,complement(X_10)))) )],[refute_0_145,refute_0_146]) ).
cnf(refute_0_148,plain,
zero = meet(meet(top,X_10),join(zero,complement(X_10))),
inference(resolve,[$cnf( $equal(zero,meet(join(zero,complement(X_10)),meet(top,X_10))) )],[refute_0_132,refute_0_147]) ).
cnf(refute_0_149,plain,
( zero != meet(meet(top,X_10),join(zero,complement(X_10)))
| meet(meet(top,X_10),join(zero,complement(X_10))) = zero ),
inference(subst,[],[refute_0_5:[bind(X,$fot(zero)),bind(Y,$fot(meet(meet(top,X_10),join(zero,complement(X_10)))))]]) ).
cnf(refute_0_150,plain,
meet(meet(top,X_10),join(zero,complement(X_10))) = zero,
inference(resolve,[$cnf( $equal(zero,meet(meet(top,X_10),join(zero,complement(X_10)))) )],[refute_0_148,refute_0_149]) ).
cnf(refute_0_151,plain,
( meet(meet(top,X_10),join(zero,complement(X_10))) != zero
| meet(top,X_10) != join(zero,meet(meet(top,X_10),join(complement(join(zero,complement(X_10))),meet(meet(top,X_10),join(zero,complement(X_10))))))
| meet(top,X_10) = join(zero,meet(meet(top,X_10),join(complement(join(zero,complement(X_10))),zero))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,X_10),join(zero,meet(meet(top,X_10),join(complement(join(zero,complement(X_10))),meet(meet(top,X_10),join(zero,complement(X_10))))))) ),[1,1,1,1],$fot(zero)]]) ).
cnf(refute_0_152,plain,
( meet(top,X_10) != join(zero,meet(meet(top,X_10),join(complement(join(zero,complement(X_10))),meet(meet(top,X_10),join(zero,complement(X_10))))))
| meet(top,X_10) = join(zero,meet(meet(top,X_10),join(complement(join(zero,complement(X_10))),zero))) ),
inference(resolve,[$cnf( $equal(meet(meet(top,X_10),join(zero,complement(X_10))),zero) )],[refute_0_150,refute_0_151]) ).
cnf(refute_0_153,plain,
meet(top,X_10) = join(zero,meet(meet(top,X_10),join(complement(join(zero,complement(X_10))),zero))),
inference(resolve,[$cnf( $equal(meet(top,X_10),join(zero,meet(meet(top,X_10),join(complement(join(zero,complement(X_10))),meet(meet(top,X_10),join(zero,complement(X_10))))))) )],[refute_0_125,refute_0_152]) ).
cnf(refute_0_154,plain,
join(zero,complement(join(zero,complement(X_10)))) = join(zero,complement(join(zero,complement(X_10)))),
introduced(tautology,[refl,[$fot(join(zero,complement(join(zero,complement(X_10)))))]]) ).
cnf(refute_0_155,plain,
( complement(join(zero,complement(X_10))) != meet(top,X_10)
| join(zero,complement(join(zero,complement(X_10)))) != join(zero,complement(join(zero,complement(X_10))))
| join(zero,complement(join(zero,complement(X_10)))) = join(zero,meet(top,X_10)) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,complement(join(zero,complement(X_10)))),join(zero,complement(join(zero,complement(X_10))))) ),[1,1],$fot(meet(top,X_10))]]) ).
cnf(refute_0_156,plain,
( complement(join(zero,complement(X_10))) != meet(top,X_10)
| join(zero,complement(join(zero,complement(X_10)))) = join(zero,meet(top,X_10)) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(zero,complement(X_10)))),join(zero,complement(join(zero,complement(X_10))))) )],[refute_0_154,refute_0_155]) ).
cnf(refute_0_157,plain,
join(zero,complement(join(zero,complement(X_10)))) = join(zero,meet(top,X_10)),
inference(resolve,[$cnf( $equal(complement(join(zero,complement(X_10))),meet(top,X_10)) )],[refute_0_129,refute_0_156]) ).
cnf(refute_0_158,plain,
join(complement(join(zero,complement(X_10))),zero) = join(zero,complement(join(zero,complement(X_10)))),
inference(subst,[],[refute_0_7:[bind(X0,$fot(zero)),bind(X1,$fot(complement(join(zero,complement(X_10)))))]]) ).
cnf(refute_0_159,plain,
( join(complement(join(zero,complement(X_10))),zero) != join(zero,complement(join(zero,complement(X_10))))
| join(zero,complement(join(zero,complement(X_10)))) != join(zero,meet(top,X_10))
| join(complement(join(zero,complement(X_10))),zero) = join(zero,meet(top,X_10)) ),
inference(subst,[],[refute_0_41:[bind(X,$fot(join(complement(join(zero,complement(X_10))),zero))),bind(Y,$fot(join(zero,complement(join(zero,complement(X_10)))))),bind(Z,$fot(join(zero,meet(top,X_10))))]]) ).
cnf(refute_0_160,plain,
( join(zero,complement(join(zero,complement(X_10)))) != join(zero,meet(top,X_10))
| join(complement(join(zero,complement(X_10))),zero) = join(zero,meet(top,X_10)) ),
inference(resolve,[$cnf( $equal(join(complement(join(zero,complement(X_10))),zero),join(zero,complement(join(zero,complement(X_10))))) )],[refute_0_158,refute_0_159]) ).
cnf(refute_0_161,plain,
join(complement(join(zero,complement(X_10))),zero) = join(zero,meet(top,X_10)),
inference(resolve,[$cnf( $equal(join(zero,complement(join(zero,complement(X_10)))),join(zero,meet(top,X_10))) )],[refute_0_157,refute_0_160]) ).
cnf(refute_0_162,plain,
meet(meet(top,X_10),join(complement(join(zero,complement(X_10))),zero)) = meet(meet(top,X_10),join(complement(join(zero,complement(X_10))),zero)),
introduced(tautology,[refl,[$fot(meet(meet(top,X_10),join(complement(join(zero,complement(X_10))),zero)))]]) ).
cnf(refute_0_163,plain,
( join(complement(join(zero,complement(X_10))),zero) != join(zero,meet(top,X_10))
| meet(meet(top,X_10),join(complement(join(zero,complement(X_10))),zero)) != meet(meet(top,X_10),join(complement(join(zero,complement(X_10))),zero))
| meet(meet(top,X_10),join(complement(join(zero,complement(X_10))),zero)) = meet(meet(top,X_10),join(zero,meet(top,X_10))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(top,X_10),join(complement(join(zero,complement(X_10))),zero)),meet(meet(top,X_10),join(complement(join(zero,complement(X_10))),zero))) ),[1,1],$fot(join(zero,meet(top,X_10)))]]) ).
cnf(refute_0_164,plain,
( join(complement(join(zero,complement(X_10))),zero) != join(zero,meet(top,X_10))
| meet(meet(top,X_10),join(complement(join(zero,complement(X_10))),zero)) = meet(meet(top,X_10),join(zero,meet(top,X_10))) ),
inference(resolve,[$cnf( $equal(meet(meet(top,X_10),join(complement(join(zero,complement(X_10))),zero)),meet(meet(top,X_10),join(complement(join(zero,complement(X_10))),zero))) )],[refute_0_162,refute_0_163]) ).
cnf(refute_0_165,plain,
meet(meet(top,X_10),join(complement(join(zero,complement(X_10))),zero)) = meet(meet(top,X_10),join(zero,meet(top,X_10))),
inference(resolve,[$cnf( $equal(join(complement(join(zero,complement(X_10))),zero),join(zero,meet(top,X_10))) )],[refute_0_161,refute_0_164]) ).
cnf(refute_0_166,plain,
join(zero,meet(meet(top,X_10),join(complement(join(zero,complement(X_10))),zero))) = join(zero,meet(meet(top,X_10),join(complement(join(zero,complement(X_10))),zero))),
introduced(tautology,[refl,[$fot(join(zero,meet(meet(top,X_10),join(complement(join(zero,complement(X_10))),zero))))]]) ).
cnf(refute_0_167,plain,
( join(zero,meet(meet(top,X_10),join(complement(join(zero,complement(X_10))),zero))) != join(zero,meet(meet(top,X_10),join(complement(join(zero,complement(X_10))),zero)))
| meet(meet(top,X_10),join(complement(join(zero,complement(X_10))),zero)) != meet(meet(top,X_10),join(zero,meet(top,X_10)))
| join(zero,meet(meet(top,X_10),join(complement(join(zero,complement(X_10))),zero))) = join(zero,meet(meet(top,X_10),join(zero,meet(top,X_10)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(meet(top,X_10),join(complement(join(zero,complement(X_10))),zero))),join(zero,meet(meet(top,X_10),join(complement(join(zero,complement(X_10))),zero)))) ),[1,1],$fot(meet(meet(top,X_10),join(zero,meet(top,X_10))))]]) ).
cnf(refute_0_168,plain,
( meet(meet(top,X_10),join(complement(join(zero,complement(X_10))),zero)) != meet(meet(top,X_10),join(zero,meet(top,X_10)))
| join(zero,meet(meet(top,X_10),join(complement(join(zero,complement(X_10))),zero))) = join(zero,meet(meet(top,X_10),join(zero,meet(top,X_10)))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(meet(top,X_10),join(complement(join(zero,complement(X_10))),zero))),join(zero,meet(meet(top,X_10),join(complement(join(zero,complement(X_10))),zero)))) )],[refute_0_166,refute_0_167]) ).
cnf(refute_0_169,plain,
join(zero,meet(meet(top,X_10),join(complement(join(zero,complement(X_10))),zero))) = join(zero,meet(meet(top,X_10),join(zero,meet(top,X_10)))),
inference(resolve,[$cnf( $equal(meet(meet(top,X_10),join(complement(join(zero,complement(X_10))),zero)),meet(meet(top,X_10),join(zero,meet(top,X_10)))) )],[refute_0_165,refute_0_168]) ).
cnf(refute_0_170,plain,
( join(zero,meet(meet(top,X_10),join(complement(join(zero,complement(X_10))),zero))) != join(zero,meet(meet(top,X_10),join(zero,meet(top,X_10))))
| meet(top,X_10) != join(zero,meet(meet(top,X_10),join(complement(join(zero,complement(X_10))),zero)))
| meet(top,X_10) = join(zero,meet(meet(top,X_10),join(zero,meet(top,X_10)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,X_10),join(zero,meet(meet(top,X_10),join(complement(join(zero,complement(X_10))),zero)))) ),[1],$fot(join(zero,meet(meet(top,X_10),join(zero,meet(top,X_10)))))]]) ).
cnf(refute_0_171,plain,
( meet(top,X_10) != join(zero,meet(meet(top,X_10),join(complement(join(zero,complement(X_10))),zero)))
| meet(top,X_10) = join(zero,meet(meet(top,X_10),join(zero,meet(top,X_10)))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(meet(top,X_10),join(complement(join(zero,complement(X_10))),zero))),join(zero,meet(meet(top,X_10),join(zero,meet(top,X_10))))) )],[refute_0_169,refute_0_170]) ).
cnf(refute_0_172,plain,
meet(top,X_10) = join(zero,meet(meet(top,X_10),join(zero,meet(top,X_10)))),
inference(resolve,[$cnf( $equal(meet(top,X_10),join(zero,meet(meet(top,X_10),join(complement(join(zero,complement(X_10))),zero)))) )],[refute_0_153,refute_0_171]) ).
cnf(refute_0_173,plain,
X0 = join(meet(X0,meet(top,X0)),complement(join(complement(X0),meet(top,X0)))),
inference(subst,[],[refute_0_73:[bind(X1,$fot(meet(top,X0)))]]) ).
cnf(refute_0_174,plain,
X_29 = join(meet(X_29,join(zero,meet(top,X_29))),complement(join(complement(X_29),join(zero,meet(top,X_29))))),
inference(subst,[],[refute_0_73:[bind(X0,$fot(X_29)),bind(X1,$fot(join(zero,meet(top,X_29))))]]) ).
cnf(refute_0_175,plain,
top = join(complement(X_20),join(complement(top),meet(X_20,top))),
inference(subst,[],[refute_0_107:[bind(X_6,$fot(X_20)),bind(X_7,$fot(top))]]) ).
cnf(refute_0_176,plain,
( complement(top) != zero
| top != join(complement(X_20),join(complement(top),meet(X_20,top)))
| top = join(complement(X_20),join(zero,meet(X_20,top))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(X_20),join(complement(top),meet(X_20,top)))) ),[1,1,0],$fot(zero)]]) ).
cnf(refute_0_177,plain,
( top != join(complement(X_20),join(complement(top),meet(X_20,top)))
| top = join(complement(X_20),join(zero,meet(X_20,top))) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_49,refute_0_176]) ).
cnf(refute_0_178,plain,
top = join(complement(X_20),join(zero,meet(X_20,top))),
inference(resolve,[$cnf( $equal(top,join(complement(X_20),join(complement(top),meet(X_20,top)))) )],[refute_0_175,refute_0_177]) ).
cnf(refute_0_179,plain,
top = join(complement(X_22),join(zero,meet(X_22,top))),
inference(subst,[],[refute_0_178:[bind(X_20,$fot(X_22))]]) ).
cnf(refute_0_180,plain,
meet(top,X_22) = meet(X_22,top),
inference(subst,[],[refute_0_142:[bind(X_6,$fot(top)),bind(X_7,$fot(X_22))]]) ).
cnf(refute_0_181,plain,
( meet(top,X_22) != meet(X_22,top)
| meet(X_22,top) = meet(top,X_22) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(meet(top,X_22))),bind(Y,$fot(meet(X_22,top)))]]) ).
cnf(refute_0_182,plain,
meet(X_22,top) = meet(top,X_22),
inference(resolve,[$cnf( $equal(meet(top,X_22),meet(X_22,top)) )],[refute_0_180,refute_0_181]) ).
cnf(refute_0_183,plain,
( meet(X_22,top) != meet(top,X_22)
| top != join(complement(X_22),join(zero,meet(X_22,top)))
| top = join(complement(X_22),join(zero,meet(top,X_22))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(X_22),join(zero,meet(X_22,top)))) ),[1,1,1],$fot(meet(top,X_22))]]) ).
cnf(refute_0_184,plain,
( top != join(complement(X_22),join(zero,meet(X_22,top)))
| top = join(complement(X_22),join(zero,meet(top,X_22))) ),
inference(resolve,[$cnf( $equal(meet(X_22,top),meet(top,X_22)) )],[refute_0_182,refute_0_183]) ).
cnf(refute_0_185,plain,
top = join(complement(X_22),join(zero,meet(top,X_22))),
inference(resolve,[$cnf( $equal(top,join(complement(X_22),join(zero,meet(X_22,top)))) )],[refute_0_179,refute_0_184]) ).
cnf(refute_0_186,plain,
top = join(complement(X_29),join(zero,meet(top,X_29))),
inference(subst,[],[refute_0_185:[bind(X_22,$fot(X_29))]]) ).
cnf(refute_0_187,plain,
( top != join(complement(X_29),join(zero,meet(top,X_29)))
| join(complement(X_29),join(zero,meet(top,X_29))) = top ),
inference(subst,[],[refute_0_5:[bind(X,$fot(top)),bind(Y,$fot(join(complement(X_29),join(zero,meet(top,X_29)))))]]) ).
cnf(refute_0_188,plain,
join(complement(X_29),join(zero,meet(top,X_29))) = top,
inference(resolve,[$cnf( $equal(top,join(complement(X_29),join(zero,meet(top,X_29)))) )],[refute_0_186,refute_0_187]) ).
cnf(refute_0_189,plain,
( X_29 != join(meet(X_29,join(zero,meet(top,X_29))),complement(join(complement(X_29),join(zero,meet(top,X_29)))))
| join(complement(X_29),join(zero,meet(top,X_29))) != top
| X_29 = join(meet(X_29,join(zero,meet(top,X_29))),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(X_29,join(meet(X_29,join(zero,meet(top,X_29))),complement(join(complement(X_29),join(zero,meet(top,X_29)))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_0_190,plain,
( X_29 != join(meet(X_29,join(zero,meet(top,X_29))),complement(join(complement(X_29),join(zero,meet(top,X_29)))))
| X_29 = join(meet(X_29,join(zero,meet(top,X_29))),complement(top)) ),
inference(resolve,[$cnf( $equal(join(complement(X_29),join(zero,meet(top,X_29))),top) )],[refute_0_188,refute_0_189]) ).
cnf(refute_0_191,plain,
X_29 = join(meet(X_29,join(zero,meet(top,X_29))),complement(top)),
inference(resolve,[$cnf( $equal(X_29,join(meet(X_29,join(zero,meet(top,X_29))),complement(join(complement(X_29),join(zero,meet(top,X_29)))))) )],[refute_0_174,refute_0_190]) ).
cnf(refute_0_192,plain,
join(complement(top),meet(X_29,join(zero,meet(top,X_29)))) = join(complement(top),meet(X_29,join(zero,meet(top,X_29)))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(X_29,join(zero,meet(top,X_29)))))]]) ).
cnf(refute_0_193,plain,
( complement(top) != zero
| join(complement(top),meet(X_29,join(zero,meet(top,X_29)))) != join(complement(top),meet(X_29,join(zero,meet(top,X_29))))
| join(complement(top),meet(X_29,join(zero,meet(top,X_29)))) = join(zero,meet(X_29,join(zero,meet(top,X_29)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(X_29,join(zero,meet(top,X_29)))),join(complement(top),meet(X_29,join(zero,meet(top,X_29))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_194,plain,
( complement(top) != zero
| join(complement(top),meet(X_29,join(zero,meet(top,X_29)))) = join(zero,meet(X_29,join(zero,meet(top,X_29)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_29,join(zero,meet(top,X_29)))),join(complement(top),meet(X_29,join(zero,meet(top,X_29))))) )],[refute_0_192,refute_0_193]) ).
cnf(refute_0_195,plain,
join(complement(top),meet(X_29,join(zero,meet(top,X_29)))) = join(zero,meet(X_29,join(zero,meet(top,X_29)))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_49,refute_0_194]) ).
cnf(refute_0_196,plain,
join(meet(X_29,join(zero,meet(top,X_29))),complement(top)) = join(complement(top),meet(X_29,join(zero,meet(top,X_29)))),
inference(subst,[],[refute_0_7:[bind(X0,$fot(complement(top))),bind(X1,$fot(meet(X_29,join(zero,meet(top,X_29)))))]]) ).
cnf(refute_0_197,plain,
( join(complement(top),meet(X_29,join(zero,meet(top,X_29)))) != join(zero,meet(X_29,join(zero,meet(top,X_29))))
| join(meet(X_29,join(zero,meet(top,X_29))),complement(top)) != join(complement(top),meet(X_29,join(zero,meet(top,X_29))))
| join(meet(X_29,join(zero,meet(top,X_29))),complement(top)) = join(zero,meet(X_29,join(zero,meet(top,X_29)))) ),
inference(subst,[],[refute_0_41:[bind(X,$fot(join(meet(X_29,join(zero,meet(top,X_29))),complement(top)))),bind(Y,$fot(join(complement(top),meet(X_29,join(zero,meet(top,X_29)))))),bind(Z,$fot(join(zero,meet(X_29,join(zero,meet(top,X_29))))))]]) ).
cnf(refute_0_198,plain,
( join(complement(top),meet(X_29,join(zero,meet(top,X_29)))) != join(zero,meet(X_29,join(zero,meet(top,X_29))))
| join(meet(X_29,join(zero,meet(top,X_29))),complement(top)) = join(zero,meet(X_29,join(zero,meet(top,X_29)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_29,join(zero,meet(top,X_29))),complement(top)),join(complement(top),meet(X_29,join(zero,meet(top,X_29))))) )],[refute_0_196,refute_0_197]) ).
cnf(refute_0_199,plain,
join(meet(X_29,join(zero,meet(top,X_29))),complement(top)) = join(zero,meet(X_29,join(zero,meet(top,X_29)))),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_29,join(zero,meet(top,X_29)))),join(zero,meet(X_29,join(zero,meet(top,X_29))))) )],[refute_0_195,refute_0_198]) ).
cnf(refute_0_200,plain,
( X_29 != join(meet(X_29,join(zero,meet(top,X_29))),complement(top))
| join(meet(X_29,join(zero,meet(top,X_29))),complement(top)) != join(zero,meet(X_29,join(zero,meet(top,X_29))))
| X_29 = join(zero,meet(X_29,join(zero,meet(top,X_29)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_29,join(zero,meet(X_29,join(zero,meet(top,X_29))))) ),[0],$fot(join(meet(X_29,join(zero,meet(top,X_29))),complement(top)))]]) ).
cnf(refute_0_201,plain,
( X_29 != join(meet(X_29,join(zero,meet(top,X_29))),complement(top))
| X_29 = join(zero,meet(X_29,join(zero,meet(top,X_29)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_29,join(zero,meet(top,X_29))),complement(top)),join(zero,meet(X_29,join(zero,meet(top,X_29))))) )],[refute_0_199,refute_0_200]) ).
cnf(refute_0_202,plain,
X_29 = join(zero,meet(X_29,join(zero,meet(top,X_29)))),
inference(resolve,[$cnf( $equal(X_29,join(meet(X_29,join(zero,meet(top,X_29))),complement(top))) )],[refute_0_191,refute_0_201]) ).
cnf(refute_0_203,plain,
join(complement(X_62),meet(X_62,top)) = join(zero,meet(join(complement(X_62),meet(X_62,top)),join(zero,meet(top,join(complement(X_62),meet(X_62,top)))))),
inference(subst,[],[refute_0_202:[bind(X_29,$fot(join(complement(X_62),meet(X_62,top))))]]) ).
cnf(refute_0_204,plain,
top = join(meet(top,X_30),complement(join(complement(top),X_30))),
inference(subst,[],[refute_0_73:[bind(X0,$fot(top)),bind(X1,$fot(X_30))]]) ).
cnf(refute_0_205,plain,
( complement(top) != zero
| top != join(meet(top,X_30),complement(join(complement(top),X_30)))
| top = join(meet(top,X_30),complement(join(zero,X_30))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(meet(top,X_30),complement(join(complement(top),X_30)))) ),[1,1,0,0],$fot(zero)]]) ).
cnf(refute_0_206,plain,
( top != join(meet(top,X_30),complement(join(complement(top),X_30)))
| top = join(meet(top,X_30),complement(join(zero,X_30))) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_49,refute_0_205]) ).
cnf(refute_0_207,plain,
top = join(meet(top,X_30),complement(join(zero,X_30))),
inference(resolve,[$cnf( $equal(top,join(meet(top,X_30),complement(join(complement(top),X_30)))) )],[refute_0_204,refute_0_206]) ).
cnf(refute_0_208,plain,
top = join(meet(top,join(complement(X_22),meet(X_22,top))),complement(join(zero,join(complement(X_22),meet(X_22,top))))),
inference(subst,[],[refute_0_207:[bind(X_30,$fot(join(complement(X_22),meet(X_22,top))))]]) ).
cnf(refute_0_209,plain,
join(join(zero,meet(X_22,top)),complement(X_22)) = join(complement(X_22),join(zero,meet(X_22,top))),
inference(subst,[],[refute_0_2:[bind(X0,$fot(join(zero,meet(X_22,top)))),bind(X1,$fot(complement(X_22)))]]) ).
cnf(refute_0_210,plain,
( top != join(complement(X_22),join(zero,meet(X_22,top)))
| join(complement(X_22),join(zero,meet(X_22,top))) = top ),
inference(subst,[],[refute_0_5:[bind(X,$fot(top)),bind(Y,$fot(join(complement(X_22),join(zero,meet(X_22,top)))))]]) ).
cnf(refute_0_211,plain,
join(complement(X_22),join(zero,meet(X_22,top))) = top,
inference(resolve,[$cnf( $equal(top,join(complement(X_22),join(zero,meet(X_22,top)))) )],[refute_0_179,refute_0_210]) ).
cnf(refute_0_212,plain,
( join(complement(X_22),join(zero,meet(X_22,top))) != top
| join(join(zero,meet(X_22,top)),complement(X_22)) != join(complement(X_22),join(zero,meet(X_22,top)))
| join(join(zero,meet(X_22,top)),complement(X_22)) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(join(zero,meet(X_22,top)),complement(X_22)),join(complement(X_22),join(zero,meet(X_22,top)))) ),[1],$fot(top)]]) ).
cnf(refute_0_213,plain,
( join(join(zero,meet(X_22,top)),complement(X_22)) != join(complement(X_22),join(zero,meet(X_22,top)))
| join(join(zero,meet(X_22,top)),complement(X_22)) = top ),
inference(resolve,[$cnf( $equal(join(complement(X_22),join(zero,meet(X_22,top))),top) )],[refute_0_211,refute_0_212]) ).
cnf(refute_0_214,plain,
join(join(zero,meet(X_22,top)),complement(X_22)) = top,
inference(resolve,[$cnf( $equal(join(join(zero,meet(X_22,top)),complement(X_22)),join(complement(X_22),join(zero,meet(X_22,top)))) )],[refute_0_209,refute_0_213]) ).
cnf(refute_0_215,plain,
join(meet(X_22,top),complement(X_22)) = join(complement(X_22),meet(X_22,top)),
inference(subst,[],[refute_0_7:[bind(X0,$fot(complement(X_22))),bind(X1,$fot(meet(X_22,top)))]]) ).
cnf(refute_0_216,plain,
join(zero,join(meet(X_22,top),complement(X_22))) = join(zero,join(meet(X_22,top),complement(X_22))),
introduced(tautology,[refl,[$fot(join(zero,join(meet(X_22,top),complement(X_22))))]]) ).
cnf(refute_0_217,plain,
( join(meet(X_22,top),complement(X_22)) != join(complement(X_22),meet(X_22,top))
| join(zero,join(meet(X_22,top),complement(X_22))) != join(zero,join(meet(X_22,top),complement(X_22)))
| join(zero,join(meet(X_22,top),complement(X_22))) = join(zero,join(complement(X_22),meet(X_22,top))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,join(meet(X_22,top),complement(X_22))),join(zero,join(meet(X_22,top),complement(X_22)))) ),[1,1],$fot(join(complement(X_22),meet(X_22,top)))]]) ).
cnf(refute_0_218,plain,
( join(meet(X_22,top),complement(X_22)) != join(complement(X_22),meet(X_22,top))
| join(zero,join(meet(X_22,top),complement(X_22))) = join(zero,join(complement(X_22),meet(X_22,top))) ),
inference(resolve,[$cnf( $equal(join(zero,join(meet(X_22,top),complement(X_22))),join(zero,join(meet(X_22,top),complement(X_22)))) )],[refute_0_216,refute_0_217]) ).
cnf(refute_0_219,plain,
join(zero,join(meet(X_22,top),complement(X_22))) = join(zero,join(complement(X_22),meet(X_22,top))),
inference(resolve,[$cnf( $equal(join(meet(X_22,top),complement(X_22)),join(complement(X_22),meet(X_22,top))) )],[refute_0_215,refute_0_218]) ).
cnf(refute_0_220,plain,
join(join(zero,meet(X_22,top)),complement(X_22)) = join(zero,join(meet(X_22,top),complement(X_22))),
inference(subst,[],[refute_0_103:[bind(X0,$fot(zero)),bind(X1,$fot(meet(X_22,top))),bind(X2,$fot(complement(X_22)))]]) ).
cnf(refute_0_221,plain,
( join(join(zero,meet(X_22,top)),complement(X_22)) != join(zero,join(meet(X_22,top),complement(X_22)))
| join(zero,join(meet(X_22,top),complement(X_22))) != join(zero,join(complement(X_22),meet(X_22,top)))
| join(join(zero,meet(X_22,top)),complement(X_22)) = join(zero,join(complement(X_22),meet(X_22,top))) ),
inference(subst,[],[refute_0_41:[bind(X,$fot(join(join(zero,meet(X_22,top)),complement(X_22)))),bind(Y,$fot(join(zero,join(meet(X_22,top),complement(X_22))))),bind(Z,$fot(join(zero,join(complement(X_22),meet(X_22,top)))))]]) ).
cnf(refute_0_222,plain,
( join(zero,join(meet(X_22,top),complement(X_22))) != join(zero,join(complement(X_22),meet(X_22,top)))
| join(join(zero,meet(X_22,top)),complement(X_22)) = join(zero,join(complement(X_22),meet(X_22,top))) ),
inference(resolve,[$cnf( $equal(join(join(zero,meet(X_22,top)),complement(X_22)),join(zero,join(meet(X_22,top),complement(X_22)))) )],[refute_0_220,refute_0_221]) ).
cnf(refute_0_223,plain,
join(join(zero,meet(X_22,top)),complement(X_22)) = join(zero,join(complement(X_22),meet(X_22,top))),
inference(resolve,[$cnf( $equal(join(zero,join(meet(X_22,top),complement(X_22))),join(zero,join(complement(X_22),meet(X_22,top)))) )],[refute_0_219,refute_0_222]) ).
cnf(refute_0_224,plain,
( join(join(zero,meet(X_22,top)),complement(X_22)) != join(zero,join(complement(X_22),meet(X_22,top)))
| join(join(zero,meet(X_22,top)),complement(X_22)) != top
| join(zero,join(complement(X_22),meet(X_22,top))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(join(zero,meet(X_22,top)),complement(X_22)),top) ),[0],$fot(join(zero,join(complement(X_22),meet(X_22,top))))]]) ).
cnf(refute_0_225,plain,
( join(join(zero,meet(X_22,top)),complement(X_22)) != top
| join(zero,join(complement(X_22),meet(X_22,top))) = top ),
inference(resolve,[$cnf( $equal(join(join(zero,meet(X_22,top)),complement(X_22)),join(zero,join(complement(X_22),meet(X_22,top)))) )],[refute_0_223,refute_0_224]) ).
cnf(refute_0_226,plain,
join(zero,join(complement(X_22),meet(X_22,top))) = top,
inference(resolve,[$cnf( $equal(join(join(zero,meet(X_22,top)),complement(X_22)),top) )],[refute_0_214,refute_0_225]) ).
cnf(refute_0_227,plain,
( join(zero,join(complement(X_22),meet(X_22,top))) != top
| top != join(meet(top,join(complement(X_22),meet(X_22,top))),complement(join(zero,join(complement(X_22),meet(X_22,top)))))
| top = join(meet(top,join(complement(X_22),meet(X_22,top))),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(meet(top,join(complement(X_22),meet(X_22,top))),complement(join(zero,join(complement(X_22),meet(X_22,top)))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_0_228,plain,
( top != join(meet(top,join(complement(X_22),meet(X_22,top))),complement(join(zero,join(complement(X_22),meet(X_22,top)))))
| top = join(meet(top,join(complement(X_22),meet(X_22,top))),complement(top)) ),
inference(resolve,[$cnf( $equal(join(zero,join(complement(X_22),meet(X_22,top))),top) )],[refute_0_226,refute_0_227]) ).
cnf(refute_0_229,plain,
top = join(meet(top,join(complement(X_22),meet(X_22,top))),complement(top)),
inference(resolve,[$cnf( $equal(top,join(meet(top,join(complement(X_22),meet(X_22,top))),complement(join(zero,join(complement(X_22),meet(X_22,top)))))) )],[refute_0_208,refute_0_228]) ).
cnf(refute_0_230,plain,
join(complement(top),meet(top,join(complement(X_22),meet(X_22,top)))) = join(complement(top),meet(top,join(complement(X_22),meet(X_22,top)))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(top,join(complement(X_22),meet(X_22,top)))))]]) ).
cnf(refute_0_231,plain,
( complement(top) != zero
| join(complement(top),meet(top,join(complement(X_22),meet(X_22,top)))) != join(complement(top),meet(top,join(complement(X_22),meet(X_22,top))))
| join(complement(top),meet(top,join(complement(X_22),meet(X_22,top)))) = join(zero,meet(top,join(complement(X_22),meet(X_22,top)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(top,join(complement(X_22),meet(X_22,top)))),join(complement(top),meet(top,join(complement(X_22),meet(X_22,top))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_232,plain,
( complement(top) != zero
| join(complement(top),meet(top,join(complement(X_22),meet(X_22,top)))) = join(zero,meet(top,join(complement(X_22),meet(X_22,top)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(top,join(complement(X_22),meet(X_22,top)))),join(complement(top),meet(top,join(complement(X_22),meet(X_22,top))))) )],[refute_0_230,refute_0_231]) ).
cnf(refute_0_233,plain,
join(complement(top),meet(top,join(complement(X_22),meet(X_22,top)))) = join(zero,meet(top,join(complement(X_22),meet(X_22,top)))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_49,refute_0_232]) ).
cnf(refute_0_234,plain,
join(meet(top,join(complement(X_22),meet(X_22,top))),complement(top)) = join(complement(top),meet(top,join(complement(X_22),meet(X_22,top)))),
inference(subst,[],[refute_0_7:[bind(X0,$fot(complement(top))),bind(X1,$fot(meet(top,join(complement(X_22),meet(X_22,top)))))]]) ).
cnf(refute_0_235,plain,
( join(complement(top),meet(top,join(complement(X_22),meet(X_22,top)))) != join(zero,meet(top,join(complement(X_22),meet(X_22,top))))
| join(meet(top,join(complement(X_22),meet(X_22,top))),complement(top)) != join(complement(top),meet(top,join(complement(X_22),meet(X_22,top))))
| join(meet(top,join(complement(X_22),meet(X_22,top))),complement(top)) = join(zero,meet(top,join(complement(X_22),meet(X_22,top)))) ),
inference(subst,[],[refute_0_41:[bind(X,$fot(join(meet(top,join(complement(X_22),meet(X_22,top))),complement(top)))),bind(Y,$fot(join(complement(top),meet(top,join(complement(X_22),meet(X_22,top)))))),bind(Z,$fot(join(zero,meet(top,join(complement(X_22),meet(X_22,top))))))]]) ).
cnf(refute_0_236,plain,
( join(complement(top),meet(top,join(complement(X_22),meet(X_22,top)))) != join(zero,meet(top,join(complement(X_22),meet(X_22,top))))
| join(meet(top,join(complement(X_22),meet(X_22,top))),complement(top)) = join(zero,meet(top,join(complement(X_22),meet(X_22,top)))) ),
inference(resolve,[$cnf( $equal(join(meet(top,join(complement(X_22),meet(X_22,top))),complement(top)),join(complement(top),meet(top,join(complement(X_22),meet(X_22,top))))) )],[refute_0_234,refute_0_235]) ).
cnf(refute_0_237,plain,
join(meet(top,join(complement(X_22),meet(X_22,top))),complement(top)) = join(zero,meet(top,join(complement(X_22),meet(X_22,top)))),
inference(resolve,[$cnf( $equal(join(complement(top),meet(top,join(complement(X_22),meet(X_22,top)))),join(zero,meet(top,join(complement(X_22),meet(X_22,top))))) )],[refute_0_233,refute_0_236]) ).
cnf(refute_0_238,plain,
( join(meet(top,join(complement(X_22),meet(X_22,top))),complement(top)) != join(zero,meet(top,join(complement(X_22),meet(X_22,top))))
| top != join(meet(top,join(complement(X_22),meet(X_22,top))),complement(top))
| top = join(zero,meet(top,join(complement(X_22),meet(X_22,top)))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(meet(top,join(complement(X_22),meet(X_22,top))),complement(top))) ),[1],$fot(join(zero,meet(top,join(complement(X_22),meet(X_22,top)))))]]) ).
cnf(refute_0_239,plain,
( top != join(meet(top,join(complement(X_22),meet(X_22,top))),complement(top))
| top = join(zero,meet(top,join(complement(X_22),meet(X_22,top)))) ),
inference(resolve,[$cnf( $equal(join(meet(top,join(complement(X_22),meet(X_22,top))),complement(top)),join(zero,meet(top,join(complement(X_22),meet(X_22,top))))) )],[refute_0_237,refute_0_238]) ).
cnf(refute_0_240,plain,
top = join(zero,meet(top,join(complement(X_22),meet(X_22,top)))),
inference(resolve,[$cnf( $equal(top,join(meet(top,join(complement(X_22),meet(X_22,top))),complement(top))) )],[refute_0_229,refute_0_239]) ).
cnf(refute_0_241,plain,
top = join(zero,meet(top,join(complement(X_62),meet(X_62,top)))),
inference(subst,[],[refute_0_240:[bind(X_22,$fot(X_62))]]) ).
cnf(refute_0_242,plain,
( top != join(zero,meet(top,join(complement(X_62),meet(X_62,top))))
| join(zero,meet(top,join(complement(X_62),meet(X_62,top)))) = top ),
inference(subst,[],[refute_0_5:[bind(X,$fot(top)),bind(Y,$fot(join(zero,meet(top,join(complement(X_62),meet(X_62,top))))))]]) ).
cnf(refute_0_243,plain,
join(zero,meet(top,join(complement(X_62),meet(X_62,top)))) = top,
inference(resolve,[$cnf( $equal(top,join(zero,meet(top,join(complement(X_62),meet(X_62,top))))) )],[refute_0_241,refute_0_242]) ).
cnf(refute_0_244,plain,
( join(complement(X_62),meet(X_62,top)) != join(zero,meet(join(complement(X_62),meet(X_62,top)),join(zero,meet(top,join(complement(X_62),meet(X_62,top))))))
| join(zero,meet(top,join(complement(X_62),meet(X_62,top)))) != top
| join(complement(X_62),meet(X_62,top)) = join(zero,meet(join(complement(X_62),meet(X_62,top)),top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_62),meet(X_62,top)),join(zero,meet(join(complement(X_62),meet(X_62,top)),join(zero,meet(top,join(complement(X_62),meet(X_62,top))))))) ),[1,1,1],$fot(top)]]) ).
cnf(refute_0_245,plain,
( join(complement(X_62),meet(X_62,top)) != join(zero,meet(join(complement(X_62),meet(X_62,top)),join(zero,meet(top,join(complement(X_62),meet(X_62,top))))))
| join(complement(X_62),meet(X_62,top)) = join(zero,meet(join(complement(X_62),meet(X_62,top)),top)) ),
inference(resolve,[$cnf( $equal(join(zero,meet(top,join(complement(X_62),meet(X_62,top)))),top) )],[refute_0_243,refute_0_244]) ).
cnf(refute_0_246,plain,
join(complement(X_62),meet(X_62,top)) = join(zero,meet(join(complement(X_62),meet(X_62,top)),top)),
inference(resolve,[$cnf( $equal(join(complement(X_62),meet(X_62,top)),join(zero,meet(join(complement(X_62),meet(X_62,top)),join(zero,meet(top,join(complement(X_62),meet(X_62,top))))))) )],[refute_0_203,refute_0_245]) ).
cnf(refute_0_247,plain,
meet(X0,top) = complement(join(complement(X0),complement(top))),
inference(subst,[],[refute_0_20:[bind(X1,$fot(top))]]) ).
cnf(refute_0_248,plain,
( complement(top) != zero
| meet(X0,top) != complement(join(complement(X0),complement(top)))
| meet(X0,top) = complement(join(complement(X0),zero)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X0,top),complement(join(complement(X0),complement(top)))) ),[1,0,1],$fot(zero)]]) ).
cnf(refute_0_249,plain,
( meet(X0,top) != complement(join(complement(X0),complement(top)))
| meet(X0,top) = complement(join(complement(X0),zero)) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_49,refute_0_248]) ).
cnf(refute_0_250,plain,
meet(X0,top) = complement(join(complement(X0),zero)),
inference(resolve,[$cnf( $equal(meet(X0,top),complement(join(complement(X0),complement(top)))) )],[refute_0_247,refute_0_249]) ).
cnf(refute_0_251,plain,
( meet(top,X1) != complement(join(zero,complement(X1)))
| complement(join(zero,complement(X1))) = meet(top,X1) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(meet(top,X1))),bind(Y,$fot(complement(join(zero,complement(X1)))))]]) ).
cnf(refute_0_252,plain,
complement(join(zero,complement(X1))) = meet(top,X1),
inference(resolve,[$cnf( $equal(meet(top,X1),complement(join(zero,complement(X1)))) )],[refute_0_95,refute_0_251]) ).
cnf(refute_0_253,plain,
complement(join(zero,complement(X0))) = meet(top,X0),
inference(subst,[],[refute_0_252:[bind(X1,$fot(X0))]]) ).
cnf(refute_0_254,plain,
join(complement(X0),zero) = join(zero,complement(X0)),
inference(subst,[],[refute_0_7:[bind(X0,$fot(zero)),bind(X1,$fot(complement(X0)))]]) ).
cnf(refute_0_255,plain,
complement(join(complement(X0),zero)) = complement(join(complement(X0),zero)),
introduced(tautology,[refl,[$fot(complement(join(complement(X0),zero)))]]) ).
cnf(refute_0_256,plain,
( complement(join(complement(X0),zero)) != complement(join(complement(X0),zero))
| join(complement(X0),zero) != join(zero,complement(X0))
| complement(join(complement(X0),zero)) = complement(join(zero,complement(X0))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(X0),zero)),complement(join(complement(X0),zero))) ),[1,0],$fot(join(zero,complement(X0)))]]) ).
cnf(refute_0_257,plain,
( join(complement(X0),zero) != join(zero,complement(X0))
| complement(join(complement(X0),zero)) = complement(join(zero,complement(X0))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X0),zero)),complement(join(complement(X0),zero))) )],[refute_0_255,refute_0_256]) ).
cnf(refute_0_258,plain,
complement(join(complement(X0),zero)) = complement(join(zero,complement(X0))),
inference(resolve,[$cnf( $equal(join(complement(X0),zero),join(zero,complement(X0))) )],[refute_0_254,refute_0_257]) ).
cnf(refute_0_259,plain,
( complement(join(complement(X0),zero)) != complement(join(zero,complement(X0)))
| complement(join(zero,complement(X0))) != meet(top,X0)
| complement(join(complement(X0),zero)) = meet(top,X0) ),
inference(subst,[],[refute_0_41:[bind(X,$fot(complement(join(complement(X0),zero)))),bind(Y,$fot(complement(join(zero,complement(X0))))),bind(Z,$fot(meet(top,X0)))]]) ).
cnf(refute_0_260,plain,
( complement(join(zero,complement(X0))) != meet(top,X0)
| complement(join(complement(X0),zero)) = meet(top,X0) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X0),zero)),complement(join(zero,complement(X0)))) )],[refute_0_258,refute_0_259]) ).
cnf(refute_0_261,plain,
complement(join(complement(X0),zero)) = meet(top,X0),
inference(resolve,[$cnf( $equal(complement(join(zero,complement(X0))),meet(top,X0)) )],[refute_0_253,refute_0_260]) ).
cnf(refute_0_262,plain,
( complement(join(complement(X0),zero)) != meet(top,X0)
| meet(X0,top) != complement(join(complement(X0),zero))
| meet(X0,top) = meet(top,X0) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X0,top),complement(join(complement(X0),zero))) ),[1],$fot(meet(top,X0))]]) ).
cnf(refute_0_263,plain,
( meet(X0,top) != complement(join(complement(X0),zero))
| meet(X0,top) = meet(top,X0) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X0),zero)),meet(top,X0)) )],[refute_0_261,refute_0_262]) ).
cnf(refute_0_264,plain,
meet(X0,top) = meet(top,X0),
inference(resolve,[$cnf( $equal(meet(X0,top),complement(join(complement(X0),zero))) )],[refute_0_250,refute_0_263]) ).
cnf(refute_0_265,plain,
meet(join(complement(X_62),meet(X_62,top)),top) = meet(top,join(complement(X_62),meet(X_62,top))),
inference(subst,[],[refute_0_264:[bind(X0,$fot(join(complement(X_62),meet(X_62,top))))]]) ).
cnf(refute_0_266,plain,
join(zero,meet(join(complement(X_62),meet(X_62,top)),top)) = join(zero,meet(join(complement(X_62),meet(X_62,top)),top)),
introduced(tautology,[refl,[$fot(join(zero,meet(join(complement(X_62),meet(X_62,top)),top)))]]) ).
cnf(refute_0_267,plain,
( join(zero,meet(join(complement(X_62),meet(X_62,top)),top)) != join(zero,meet(join(complement(X_62),meet(X_62,top)),top))
| meet(join(complement(X_62),meet(X_62,top)),top) != meet(top,join(complement(X_62),meet(X_62,top)))
| join(zero,meet(join(complement(X_62),meet(X_62,top)),top)) = join(zero,meet(top,join(complement(X_62),meet(X_62,top)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(join(complement(X_62),meet(X_62,top)),top)),join(zero,meet(join(complement(X_62),meet(X_62,top)),top))) ),[1,1],$fot(meet(top,join(complement(X_62),meet(X_62,top))))]]) ).
cnf(refute_0_268,plain,
( meet(join(complement(X_62),meet(X_62,top)),top) != meet(top,join(complement(X_62),meet(X_62,top)))
| join(zero,meet(join(complement(X_62),meet(X_62,top)),top)) = join(zero,meet(top,join(complement(X_62),meet(X_62,top)))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(join(complement(X_62),meet(X_62,top)),top)),join(zero,meet(join(complement(X_62),meet(X_62,top)),top))) )],[refute_0_266,refute_0_267]) ).
cnf(refute_0_269,plain,
join(zero,meet(join(complement(X_62),meet(X_62,top)),top)) = join(zero,meet(top,join(complement(X_62),meet(X_62,top)))),
inference(resolve,[$cnf( $equal(meet(join(complement(X_62),meet(X_62,top)),top),meet(top,join(complement(X_62),meet(X_62,top)))) )],[refute_0_265,refute_0_268]) ).
cnf(refute_0_270,plain,
( join(zero,meet(join(complement(X_62),meet(X_62,top)),top)) != join(zero,meet(top,join(complement(X_62),meet(X_62,top))))
| join(zero,meet(top,join(complement(X_62),meet(X_62,top)))) != top
| join(zero,meet(join(complement(X_62),meet(X_62,top)),top)) = top ),
inference(subst,[],[refute_0_41:[bind(X,$fot(join(zero,meet(join(complement(X_62),meet(X_62,top)),top)))),bind(Y,$fot(join(zero,meet(top,join(complement(X_62),meet(X_62,top)))))),bind(Z,$fot(top))]]) ).
cnf(refute_0_271,plain,
( join(zero,meet(top,join(complement(X_62),meet(X_62,top)))) != top
| join(zero,meet(join(complement(X_62),meet(X_62,top)),top)) = top ),
inference(resolve,[$cnf( $equal(join(zero,meet(join(complement(X_62),meet(X_62,top)),top)),join(zero,meet(top,join(complement(X_62),meet(X_62,top))))) )],[refute_0_269,refute_0_270]) ).
cnf(refute_0_272,plain,
join(zero,meet(join(complement(X_62),meet(X_62,top)),top)) = top,
inference(resolve,[$cnf( $equal(join(zero,meet(top,join(complement(X_62),meet(X_62,top)))),top) )],[refute_0_243,refute_0_271]) ).
cnf(refute_0_273,plain,
( join(complement(X_62),meet(X_62,top)) != join(zero,meet(join(complement(X_62),meet(X_62,top)),top))
| join(zero,meet(join(complement(X_62),meet(X_62,top)),top)) != top
| join(complement(X_62),meet(X_62,top)) = top ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(complement(X_62),meet(X_62,top)),top) ),[0],$fot(join(zero,meet(join(complement(X_62),meet(X_62,top)),top)))]]) ).
cnf(refute_0_274,plain,
( join(complement(X_62),meet(X_62,top)) != join(zero,meet(join(complement(X_62),meet(X_62,top)),top))
| join(complement(X_62),meet(X_62,top)) = top ),
inference(resolve,[$cnf( $equal(join(zero,meet(join(complement(X_62),meet(X_62,top)),top)),top) )],[refute_0_272,refute_0_273]) ).
cnf(refute_0_275,plain,
join(complement(X_62),meet(X_62,top)) = top,
inference(resolve,[$cnf( $equal(join(complement(X_62),meet(X_62,top)),join(zero,meet(join(complement(X_62),meet(X_62,top)),top))) )],[refute_0_246,refute_0_274]) ).
cnf(refute_0_276,plain,
join(complement(X_63),meet(X_63,top)) = top,
inference(subst,[],[refute_0_275:[bind(X_62,$fot(X_63))]]) ).
cnf(refute_0_277,plain,
meet(top,X_63) = meet(X_63,top),
inference(subst,[],[refute_0_142:[bind(X_6,$fot(top)),bind(X_7,$fot(X_63))]]) ).
cnf(refute_0_278,plain,
( meet(top,X_63) != meet(X_63,top)
| meet(X_63,top) = meet(top,X_63) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(meet(top,X_63))),bind(Y,$fot(meet(X_63,top)))]]) ).
cnf(refute_0_279,plain,
meet(X_63,top) = meet(top,X_63),
inference(resolve,[$cnf( $equal(meet(top,X_63),meet(X_63,top)) )],[refute_0_277,refute_0_278]) ).
cnf(refute_0_280,plain,
( join(complement(X_63),meet(X_63,top)) != top
| meet(X_63,top) != meet(top,X_63)
| join(complement(X_63),meet(top,X_63)) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_63),meet(X_63,top)),top) ),[0,1],$fot(meet(top,X_63))]]) ).
cnf(refute_0_281,plain,
( join(complement(X_63),meet(X_63,top)) != top
| join(complement(X_63),meet(top,X_63)) = top ),
inference(resolve,[$cnf( $equal(meet(X_63,top),meet(top,X_63)) )],[refute_0_279,refute_0_280]) ).
cnf(refute_0_282,plain,
join(complement(X_63),meet(top,X_63)) = top,
inference(resolve,[$cnf( $equal(join(complement(X_63),meet(X_63,top)),top) )],[refute_0_276,refute_0_281]) ).
cnf(refute_0_283,plain,
join(complement(X0),meet(top,X0)) = top,
inference(subst,[],[refute_0_282:[bind(X_63,$fot(X0))]]) ).
cnf(refute_0_284,plain,
( X0 != join(meet(X0,meet(top,X0)),complement(join(complement(X0),meet(top,X0))))
| join(complement(X0),meet(top,X0)) != top
| X0 = join(meet(X0,meet(top,X0)),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(X0,join(meet(X0,meet(top,X0)),complement(join(complement(X0),meet(top,X0))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_0_285,plain,
( X0 != join(meet(X0,meet(top,X0)),complement(join(complement(X0),meet(top,X0))))
| X0 = join(meet(X0,meet(top,X0)),complement(top)) ),
inference(resolve,[$cnf( $equal(join(complement(X0),meet(top,X0)),top) )],[refute_0_283,refute_0_284]) ).
cnf(refute_0_286,plain,
X0 = join(meet(X0,meet(top,X0)),complement(top)),
inference(resolve,[$cnf( $equal(X0,join(meet(X0,meet(top,X0)),complement(join(complement(X0),meet(top,X0))))) )],[refute_0_173,refute_0_285]) ).
cnf(refute_0_287,plain,
join(complement(top),meet(X0,meet(top,X0))) = join(complement(top),meet(X0,meet(top,X0))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(X0,meet(top,X0))))]]) ).
cnf(refute_0_288,plain,
( complement(top) != zero
| join(complement(top),meet(X0,meet(top,X0))) != join(complement(top),meet(X0,meet(top,X0)))
| join(complement(top),meet(X0,meet(top,X0))) = join(zero,meet(X0,meet(top,X0))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(X0,meet(top,X0))),join(complement(top),meet(X0,meet(top,X0)))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_289,plain,
( complement(top) != zero
| join(complement(top),meet(X0,meet(top,X0))) = join(zero,meet(X0,meet(top,X0))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X0,meet(top,X0))),join(complement(top),meet(X0,meet(top,X0)))) )],[refute_0_287,refute_0_288]) ).
cnf(refute_0_290,plain,
join(complement(top),meet(X0,meet(top,X0))) = join(zero,meet(X0,meet(top,X0))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_49,refute_0_289]) ).
cnf(refute_0_291,plain,
join(meet(X0,meet(top,X0)),complement(top)) = join(complement(top),meet(X0,meet(top,X0))),
inference(subst,[],[refute_0_7:[bind(X0,$fot(complement(top))),bind(X1,$fot(meet(X0,meet(top,X0))))]]) ).
cnf(refute_0_292,plain,
( join(complement(top),meet(X0,meet(top,X0))) != join(zero,meet(X0,meet(top,X0)))
| join(meet(X0,meet(top,X0)),complement(top)) != join(complement(top),meet(X0,meet(top,X0)))
| join(meet(X0,meet(top,X0)),complement(top)) = join(zero,meet(X0,meet(top,X0))) ),
inference(subst,[],[refute_0_41:[bind(X,$fot(join(meet(X0,meet(top,X0)),complement(top)))),bind(Y,$fot(join(complement(top),meet(X0,meet(top,X0))))),bind(Z,$fot(join(zero,meet(X0,meet(top,X0)))))]]) ).
cnf(refute_0_293,plain,
( join(complement(top),meet(X0,meet(top,X0))) != join(zero,meet(X0,meet(top,X0)))
| join(meet(X0,meet(top,X0)),complement(top)) = join(zero,meet(X0,meet(top,X0))) ),
inference(resolve,[$cnf( $equal(join(meet(X0,meet(top,X0)),complement(top)),join(complement(top),meet(X0,meet(top,X0)))) )],[refute_0_291,refute_0_292]) ).
cnf(refute_0_294,plain,
join(meet(X0,meet(top,X0)),complement(top)) = join(zero,meet(X0,meet(top,X0))),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X0,meet(top,X0))),join(zero,meet(X0,meet(top,X0)))) )],[refute_0_290,refute_0_293]) ).
cnf(refute_0_295,plain,
( X0 != join(meet(X0,meet(top,X0)),complement(top))
| join(meet(X0,meet(top,X0)),complement(top)) != join(zero,meet(X0,meet(top,X0)))
| X0 = join(zero,meet(X0,meet(top,X0))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X0,join(zero,meet(X0,meet(top,X0)))) ),[0],$fot(join(meet(X0,meet(top,X0)),complement(top)))]]) ).
cnf(refute_0_296,plain,
( X0 != join(meet(X0,meet(top,X0)),complement(top))
| X0 = join(zero,meet(X0,meet(top,X0))) ),
inference(resolve,[$cnf( $equal(join(meet(X0,meet(top,X0)),complement(top)),join(zero,meet(X0,meet(top,X0)))) )],[refute_0_294,refute_0_295]) ).
cnf(refute_0_297,plain,
X0 = join(zero,meet(X0,meet(top,X0))),
inference(resolve,[$cnf( $equal(X0,join(meet(X0,meet(top,X0)),complement(top))) )],[refute_0_286,refute_0_296]) ).
cnf(refute_0_298,plain,
( X0 != join(zero,meet(X0,meet(top,X0)))
| join(zero,meet(X0,meet(top,X0))) = X0 ),
inference(subst,[],[refute_0_5:[bind(X,$fot(X0)),bind(Y,$fot(join(zero,meet(X0,meet(top,X0)))))]]) ).
cnf(refute_0_299,plain,
join(zero,meet(X0,meet(top,X0))) = X0,
inference(resolve,[$cnf( $equal(X0,join(zero,meet(X0,meet(top,X0)))) )],[refute_0_297,refute_0_298]) ).
cnf(refute_0_300,plain,
join(zero,meet(X_10,meet(top,X_10))) = X_10,
inference(subst,[],[refute_0_299:[bind(X0,$fot(X_10))]]) ).
cnf(refute_0_301,plain,
meet(meet(top,X_10),X_10) = meet(X_10,meet(top,X_10)),
inference(subst,[],[refute_0_144:[bind(X_6,$fot(X_10)),bind(X_7,$fot(meet(top,X_10)))]]) ).
cnf(refute_0_302,plain,
X_7 = join(zero,meet(X_7,join(complement(X_7),meet(X_7,X_7)))),
inference(subst,[],[refute_0_124:[bind(X_29,$fot(X_7))]]) ).
cnf(refute_0_303,plain,
meet(X1,X1) = complement(join(complement(X1),complement(X1))),
inference(subst,[],[refute_0_20:[bind(X0,$fot(X1))]]) ).
cnf(refute_0_304,plain,
join(complement(X_75),composition(converse(one),complement(composition(one,X_75)))) = complement(X_75),
inference(subst,[],[refute_0_11:[bind(X0,$fot(one)),bind(X1,$fot(X_75))]]) ).
cnf(refute_0_305,plain,
composition(X0,one) = X0,
inference(canonicalize,[],[normalize_0_21]) ).
cnf(refute_0_306,plain,
composition(converse(one),one) = converse(one),
inference(subst,[],[refute_0_305:[bind(X0,$fot(converse(one)))]]) ).
cnf(refute_0_307,plain,
converse(composition(converse(X0),X_17)) = composition(converse(X_17),converse(converse(X0))),
inference(subst,[],[refute_0_15:[bind(X0,$fot(converse(X0))),bind(X1,$fot(X_17))]]) ).
cnf(refute_0_308,plain,
converse(converse(X0)) = X0,
inference(canonicalize,[],[normalize_0_23]) ).
cnf(refute_0_309,plain,
( converse(composition(converse(X0),X_17)) != composition(converse(X_17),converse(converse(X0)))
| converse(converse(X0)) != X0
| converse(composition(converse(X0),X_17)) = composition(converse(X_17),X0) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(X0),X_17)),composition(converse(X_17),converse(converse(X0)))) ),[1,1],$fot(X0)]]) ).
cnf(refute_0_310,plain,
( converse(composition(converse(X0),X_17)) != composition(converse(X_17),converse(converse(X0)))
| converse(composition(converse(X0),X_17)) = composition(converse(X_17),X0) ),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_0_308,refute_0_309]) ).
cnf(refute_0_311,plain,
converse(composition(converse(X0),X_17)) = composition(converse(X_17),X0),
inference(resolve,[$cnf( $equal(converse(composition(converse(X0),X_17)),composition(converse(X_17),converse(converse(X0)))) )],[refute_0_307,refute_0_310]) ).
cnf(refute_0_312,plain,
converse(composition(converse(X_46),one)) = composition(converse(one),X_46),
inference(subst,[],[refute_0_311:[bind(X0,$fot(X_46)),bind(X_17,$fot(one))]]) ).
cnf(refute_0_313,plain,
composition(converse(X_46),one) = converse(X_46),
inference(subst,[],[refute_0_305:[bind(X0,$fot(converse(X_46)))]]) ).
cnf(refute_0_314,plain,
( composition(converse(X_46),one) != converse(X_46)
| converse(composition(converse(X_46),one)) != composition(converse(one),X_46)
| converse(converse(X_46)) = composition(converse(one),X_46) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(X_46),one)),composition(converse(one),X_46)) ),[0,0],$fot(converse(X_46))]]) ).
cnf(refute_0_315,plain,
( converse(composition(converse(X_46),one)) != composition(converse(one),X_46)
| converse(converse(X_46)) = composition(converse(one),X_46) ),
inference(resolve,[$cnf( $equal(composition(converse(X_46),one),converse(X_46)) )],[refute_0_313,refute_0_314]) ).
cnf(refute_0_316,plain,
converse(converse(X_46)) = composition(converse(one),X_46),
inference(resolve,[$cnf( $equal(converse(composition(converse(X_46),one)),composition(converse(one),X_46)) )],[refute_0_312,refute_0_315]) ).
cnf(refute_0_317,plain,
converse(converse(X_46)) = X_46,
inference(subst,[],[refute_0_308:[bind(X0,$fot(X_46))]]) ).
cnf(refute_0_318,plain,
( converse(converse(X_46)) != X_46
| converse(converse(X_46)) != composition(converse(one),X_46)
| X_46 = composition(converse(one),X_46) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(X_46)),composition(converse(one),X_46)) ),[0],$fot(X_46)]]) ).
cnf(refute_0_319,plain,
( converse(converse(X_46)) != composition(converse(one),X_46)
| X_46 = composition(converse(one),X_46) ),
inference(resolve,[$cnf( $equal(converse(converse(X_46)),X_46) )],[refute_0_317,refute_0_318]) ).
cnf(refute_0_320,plain,
X_46 = composition(converse(one),X_46),
inference(resolve,[$cnf( $equal(converse(converse(X_46)),composition(converse(one),X_46)) )],[refute_0_316,refute_0_319]) ).
cnf(refute_0_321,plain,
one = composition(converse(one),one),
inference(subst,[],[refute_0_320:[bind(X_46,$fot(one))]]) ).
cnf(refute_0_322,plain,
( one != composition(converse(one),one)
| composition(converse(one),one) = one ),
inference(subst,[],[refute_0_5:[bind(X,$fot(one)),bind(Y,$fot(composition(converse(one),one)))]]) ).
cnf(refute_0_323,plain,
composition(converse(one),one) = one,
inference(resolve,[$cnf( $equal(one,composition(converse(one),one)) )],[refute_0_321,refute_0_322]) ).
cnf(refute_0_324,plain,
( composition(converse(one),one) != converse(one)
| composition(converse(one),one) != one
| one = converse(one) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(one),one),converse(one)) ),[0],$fot(one)]]) ).
cnf(refute_0_325,plain,
( composition(converse(one),one) != converse(one)
| one = converse(one) ),
inference(resolve,[$cnf( $equal(composition(converse(one),one),one) )],[refute_0_323,refute_0_324]) ).
cnf(refute_0_326,plain,
one = converse(one),
inference(resolve,[$cnf( $equal(composition(converse(one),one),converse(one)) )],[refute_0_306,refute_0_325]) ).
cnf(refute_0_327,plain,
( one != converse(one)
| converse(one) = one ),
inference(subst,[],[refute_0_5:[bind(X,$fot(one)),bind(Y,$fot(converse(one)))]]) ).
cnf(refute_0_328,plain,
converse(one) = one,
inference(resolve,[$cnf( $equal(one,converse(one)) )],[refute_0_326,refute_0_327]) ).
cnf(refute_0_329,plain,
( converse(one) != one
| join(complement(X_75),composition(converse(one),complement(composition(one,X_75)))) != complement(X_75)
| join(complement(X_75),composition(one,complement(composition(one,X_75)))) = complement(X_75) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_75),composition(converse(one),complement(composition(one,X_75)))),complement(X_75)) ),[0,1,0],$fot(one)]]) ).
cnf(refute_0_330,plain,
( join(complement(X_75),composition(converse(one),complement(composition(one,X_75)))) != complement(X_75)
| join(complement(X_75),composition(one,complement(composition(one,X_75)))) = complement(X_75) ),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_328,refute_0_329]) ).
cnf(refute_0_331,plain,
join(complement(X_75),composition(one,complement(composition(one,X_75)))) = complement(X_75),
inference(resolve,[$cnf( $equal(join(complement(X_75),composition(converse(one),complement(composition(one,X_75)))),complement(X_75)) )],[refute_0_304,refute_0_330]) ).
cnf(refute_0_332,plain,
composition(converse(one),X_46) = composition(converse(one),X_46),
introduced(tautology,[refl,[$fot(composition(converse(one),X_46))]]) ).
cnf(refute_0_333,plain,
( composition(converse(one),X_46) != composition(converse(one),X_46)
| converse(one) != one
| composition(converse(one),X_46) = composition(one,X_46) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(one),X_46),composition(converse(one),X_46)) ),[1,0],$fot(one)]]) ).
cnf(refute_0_334,plain,
( converse(one) != one
| composition(converse(one),X_46) = composition(one,X_46) ),
inference(resolve,[$cnf( $equal(composition(converse(one),X_46),composition(converse(one),X_46)) )],[refute_0_332,refute_0_333]) ).
cnf(refute_0_335,plain,
composition(converse(one),X_46) = composition(one,X_46),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_328,refute_0_334]) ).
cnf(refute_0_336,plain,
( X_46 != composition(converse(one),X_46)
| composition(converse(one),X_46) != composition(one,X_46)
| X_46 = composition(one,X_46) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_46,composition(one,X_46)) ),[0],$fot(composition(converse(one),X_46))]]) ).
cnf(refute_0_337,plain,
( X_46 != composition(converse(one),X_46)
| X_46 = composition(one,X_46) ),
inference(resolve,[$cnf( $equal(composition(converse(one),X_46),composition(one,X_46)) )],[refute_0_335,refute_0_336]) ).
cnf(refute_0_338,plain,
X_46 = composition(one,X_46),
inference(resolve,[$cnf( $equal(X_46,composition(converse(one),X_46)) )],[refute_0_320,refute_0_337]) ).
cnf(refute_0_339,plain,
( X_46 != composition(one,X_46)
| composition(one,X_46) = X_46 ),
inference(subst,[],[refute_0_5:[bind(X,$fot(X_46)),bind(Y,$fot(composition(one,X_46)))]]) ).
cnf(refute_0_340,plain,
composition(one,X_46) = X_46,
inference(resolve,[$cnf( $equal(X_46,composition(one,X_46)) )],[refute_0_338,refute_0_339]) ).
cnf(refute_0_341,plain,
composition(one,X_75) = X_75,
inference(subst,[],[refute_0_340:[bind(X_46,$fot(X_75))]]) ).
cnf(refute_0_342,plain,
complement(composition(one,X_75)) = complement(composition(one,X_75)),
introduced(tautology,[refl,[$fot(complement(composition(one,X_75)))]]) ).
cnf(refute_0_343,plain,
( complement(composition(one,X_75)) != complement(composition(one,X_75))
| composition(one,X_75) != X_75
| complement(composition(one,X_75)) = complement(X_75) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(one,X_75)),complement(composition(one,X_75))) ),[1,0],$fot(X_75)]]) ).
cnf(refute_0_344,plain,
( composition(one,X_75) != X_75
| complement(composition(one,X_75)) = complement(X_75) ),
inference(resolve,[$cnf( $equal(complement(composition(one,X_75)),complement(composition(one,X_75))) )],[refute_0_342,refute_0_343]) ).
cnf(refute_0_345,plain,
complement(composition(one,X_75)) = complement(X_75),
inference(resolve,[$cnf( $equal(composition(one,X_75),X_75) )],[refute_0_341,refute_0_344]) ).
cnf(refute_0_346,plain,
composition(one,complement(composition(one,X_75))) = complement(composition(one,X_75)),
inference(subst,[],[refute_0_340:[bind(X_46,$fot(complement(composition(one,X_75))))]]) ).
cnf(refute_0_347,plain,
( complement(composition(one,X_75)) != complement(X_75)
| composition(one,complement(composition(one,X_75))) != complement(composition(one,X_75))
| composition(one,complement(composition(one,X_75))) = complement(X_75) ),
inference(subst,[],[refute_0_41:[bind(X,$fot(composition(one,complement(composition(one,X_75))))),bind(Y,$fot(complement(composition(one,X_75)))),bind(Z,$fot(complement(X_75)))]]) ).
cnf(refute_0_348,plain,
( complement(composition(one,X_75)) != complement(X_75)
| composition(one,complement(composition(one,X_75))) = complement(X_75) ),
inference(resolve,[$cnf( $equal(composition(one,complement(composition(one,X_75))),complement(composition(one,X_75))) )],[refute_0_346,refute_0_347]) ).
cnf(refute_0_349,plain,
composition(one,complement(composition(one,X_75))) = complement(X_75),
inference(resolve,[$cnf( $equal(complement(composition(one,X_75)),complement(X_75)) )],[refute_0_345,refute_0_348]) ).
cnf(refute_0_350,plain,
join(complement(X_75),composition(one,complement(composition(one,X_75)))) = join(complement(X_75),composition(one,complement(composition(one,X_75)))),
introduced(tautology,[refl,[$fot(join(complement(X_75),composition(one,complement(composition(one,X_75)))))]]) ).
cnf(refute_0_351,plain,
( composition(one,complement(composition(one,X_75))) != complement(X_75)
| join(complement(X_75),composition(one,complement(composition(one,X_75)))) != join(complement(X_75),composition(one,complement(composition(one,X_75))))
| join(complement(X_75),composition(one,complement(composition(one,X_75)))) = join(complement(X_75),complement(X_75)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_75),composition(one,complement(composition(one,X_75)))),join(complement(X_75),composition(one,complement(composition(one,X_75))))) ),[1,1],$fot(complement(X_75))]]) ).
cnf(refute_0_352,plain,
( composition(one,complement(composition(one,X_75))) != complement(X_75)
| join(complement(X_75),composition(one,complement(composition(one,X_75)))) = join(complement(X_75),complement(X_75)) ),
inference(resolve,[$cnf( $equal(join(complement(X_75),composition(one,complement(composition(one,X_75)))),join(complement(X_75),composition(one,complement(composition(one,X_75))))) )],[refute_0_350,refute_0_351]) ).
cnf(refute_0_353,plain,
join(complement(X_75),composition(one,complement(composition(one,X_75)))) = join(complement(X_75),complement(X_75)),
inference(resolve,[$cnf( $equal(composition(one,complement(composition(one,X_75))),complement(X_75)) )],[refute_0_349,refute_0_352]) ).
cnf(refute_0_354,plain,
( join(complement(X_75),composition(one,complement(composition(one,X_75)))) != complement(X_75)
| join(complement(X_75),composition(one,complement(composition(one,X_75)))) != join(complement(X_75),complement(X_75))
| join(complement(X_75),complement(X_75)) = complement(X_75) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_75),composition(one,complement(composition(one,X_75)))),complement(X_75)) ),[0],$fot(join(complement(X_75),complement(X_75)))]]) ).
cnf(refute_0_355,plain,
( join(complement(X_75),composition(one,complement(composition(one,X_75)))) != complement(X_75)
| join(complement(X_75),complement(X_75)) = complement(X_75) ),
inference(resolve,[$cnf( $equal(join(complement(X_75),composition(one,complement(composition(one,X_75)))),join(complement(X_75),complement(X_75))) )],[refute_0_353,refute_0_354]) ).
cnf(refute_0_356,plain,
join(complement(X_75),complement(X_75)) = complement(X_75),
inference(resolve,[$cnf( $equal(join(complement(X_75),composition(one,complement(composition(one,X_75)))),complement(X_75)) )],[refute_0_331,refute_0_355]) ).
cnf(refute_0_357,plain,
join(complement(X1),complement(X1)) = complement(X1),
inference(subst,[],[refute_0_356:[bind(X_75,$fot(X1))]]) ).
cnf(refute_0_358,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_359,plain,
( meet(X1,X1) != complement(join(complement(X1),complement(X1)))
| meet(X1,X1) = complement(complement(X1)) ),
inference(resolve,[$cnf( $equal(join(complement(X1),complement(X1)),complement(X1)) )],[refute_0_357,refute_0_358]) ).
cnf(refute_0_360,plain,
meet(X1,X1) = complement(complement(X1)),
inference(resolve,[$cnf( $equal(meet(X1,X1),complement(join(complement(X1),complement(X1)))) )],[refute_0_303,refute_0_359]) ).
cnf(refute_0_361,plain,
meet(X_7,X_7) = complement(complement(X_7)),
inference(subst,[],[refute_0_360:[bind(X1,$fot(X_7))]]) ).
cnf(refute_0_362,plain,
( X_7 != join(zero,meet(X_7,join(complement(X_7),meet(X_7,X_7))))
| meet(X_7,X_7) != complement(complement(X_7))
| X_7 = join(zero,meet(X_7,join(complement(X_7),complement(complement(X_7))))) ),
introduced(tautology,[equality,[$cnf( $equal(X_7,join(zero,meet(X_7,join(complement(X_7),meet(X_7,X_7))))) ),[1,1,1,1],$fot(complement(complement(X_7)))]]) ).
cnf(refute_0_363,plain,
( X_7 != join(zero,meet(X_7,join(complement(X_7),meet(X_7,X_7))))
| X_7 = join(zero,meet(X_7,join(complement(X_7),complement(complement(X_7))))) ),
inference(resolve,[$cnf( $equal(meet(X_7,X_7),complement(complement(X_7))) )],[refute_0_361,refute_0_362]) ).
cnf(refute_0_364,plain,
X_7 = join(zero,meet(X_7,join(complement(X_7),complement(complement(X_7))))),
inference(resolve,[$cnf( $equal(X_7,join(zero,meet(X_7,join(complement(X_7),meet(X_7,X_7))))) )],[refute_0_302,refute_0_363]) ).
cnf(refute_0_365,plain,
complement(join(zero,complement(X_7))) = meet(top,X_7),
inference(subst,[],[refute_0_252:[bind(X1,$fot(X_7))]]) ).
cnf(refute_0_366,plain,
join(complement(X_7),zero) = join(zero,complement(X_7)),
inference(subst,[],[refute_0_7:[bind(X0,$fot(zero)),bind(X1,$fot(complement(X_7)))]]) ).
cnf(refute_0_367,plain,
( zero != meet(X0,complement(X0))
| meet(X0,complement(X0)) = zero ),
inference(subst,[],[refute_0_5:[bind(X,$fot(zero)),bind(Y,$fot(meet(X0,complement(X0))))]]) ).
cnf(refute_0_368,plain,
meet(X0,complement(X0)) = zero,
inference(resolve,[$cnf( $equal(zero,meet(X0,complement(X0))) )],[refute_0_18,refute_0_367]) ).
cnf(refute_0_369,plain,
meet(X_7,complement(X_7)) = zero,
inference(subst,[],[refute_0_368:[bind(X0,$fot(X_7))]]) ).
cnf(refute_0_370,plain,
join(complement(X_7),meet(X_7,complement(X_7))) = join(complement(X_7),meet(X_7,complement(X_7))),
introduced(tautology,[refl,[$fot(join(complement(X_7),meet(X_7,complement(X_7))))]]) ).
cnf(refute_0_371,plain,
( join(complement(X_7),meet(X_7,complement(X_7))) != join(complement(X_7),meet(X_7,complement(X_7)))
| meet(X_7,complement(X_7)) != zero
| join(complement(X_7),meet(X_7,complement(X_7))) = join(complement(X_7),zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_7),meet(X_7,complement(X_7))),join(complement(X_7),meet(X_7,complement(X_7)))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_372,plain,
( meet(X_7,complement(X_7)) != zero
| join(complement(X_7),meet(X_7,complement(X_7))) = join(complement(X_7),zero) ),
inference(resolve,[$cnf( $equal(join(complement(X_7),meet(X_7,complement(X_7))),join(complement(X_7),meet(X_7,complement(X_7)))) )],[refute_0_370,refute_0_371]) ).
cnf(refute_0_373,plain,
join(complement(X_7),meet(X_7,complement(X_7))) = join(complement(X_7),zero),
inference(resolve,[$cnf( $equal(meet(X_7,complement(X_7)),zero) )],[refute_0_369,refute_0_372]) ).
cnf(refute_0_374,plain,
( join(complement(X_7),meet(X_7,complement(X_7))) != join(complement(X_7),zero)
| join(complement(X_7),zero) != join(zero,complement(X_7))
| join(complement(X_7),meet(X_7,complement(X_7))) = join(zero,complement(X_7)) ),
inference(subst,[],[refute_0_41:[bind(X,$fot(join(complement(X_7),meet(X_7,complement(X_7))))),bind(Y,$fot(join(complement(X_7),zero))),bind(Z,$fot(join(zero,complement(X_7))))]]) ).
cnf(refute_0_375,plain,
( join(complement(X_7),zero) != join(zero,complement(X_7))
| join(complement(X_7),meet(X_7,complement(X_7))) = join(zero,complement(X_7)) ),
inference(resolve,[$cnf( $equal(join(complement(X_7),meet(X_7,complement(X_7))),join(complement(X_7),zero)) )],[refute_0_373,refute_0_374]) ).
cnf(refute_0_376,plain,
join(complement(X_7),meet(X_7,complement(X_7))) = join(zero,complement(X_7)),
inference(resolve,[$cnf( $equal(join(complement(X_7),zero),join(zero,complement(X_7))) )],[refute_0_366,refute_0_375]) ).
cnf(refute_0_377,plain,
complement(join(complement(X_7),meet(X_7,complement(X_7)))) = complement(join(complement(X_7),meet(X_7,complement(X_7)))),
introduced(tautology,[refl,[$fot(complement(join(complement(X_7),meet(X_7,complement(X_7)))))]]) ).
cnf(refute_0_378,plain,
( complement(join(complement(X_7),meet(X_7,complement(X_7)))) != complement(join(complement(X_7),meet(X_7,complement(X_7))))
| join(complement(X_7),meet(X_7,complement(X_7))) != join(zero,complement(X_7))
| complement(join(complement(X_7),meet(X_7,complement(X_7)))) = complement(join(zero,complement(X_7))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(X_7),meet(X_7,complement(X_7)))),complement(join(complement(X_7),meet(X_7,complement(X_7))))) ),[1,0],$fot(join(zero,complement(X_7)))]]) ).
cnf(refute_0_379,plain,
( join(complement(X_7),meet(X_7,complement(X_7))) != join(zero,complement(X_7))
| complement(join(complement(X_7),meet(X_7,complement(X_7)))) = complement(join(zero,complement(X_7))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_7),meet(X_7,complement(X_7)))),complement(join(complement(X_7),meet(X_7,complement(X_7))))) )],[refute_0_377,refute_0_378]) ).
cnf(refute_0_380,plain,
complement(join(complement(X_7),meet(X_7,complement(X_7)))) = complement(join(zero,complement(X_7))),
inference(resolve,[$cnf( $equal(join(complement(X_7),meet(X_7,complement(X_7))),join(zero,complement(X_7))) )],[refute_0_376,refute_0_379]) ).
cnf(refute_0_381,plain,
( complement(join(complement(X_7),meet(X_7,complement(X_7)))) != complement(join(zero,complement(X_7)))
| complement(join(zero,complement(X_7))) != meet(top,X_7)
| complement(join(complement(X_7),meet(X_7,complement(X_7)))) = meet(top,X_7) ),
inference(subst,[],[refute_0_41:[bind(X,$fot(complement(join(complement(X_7),meet(X_7,complement(X_7)))))),bind(Y,$fot(complement(join(zero,complement(X_7))))),bind(Z,$fot(meet(top,X_7)))]]) ).
cnf(refute_0_382,plain,
( complement(join(zero,complement(X_7))) != meet(top,X_7)
| complement(join(complement(X_7),meet(X_7,complement(X_7)))) = meet(top,X_7) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_7),meet(X_7,complement(X_7)))),complement(join(zero,complement(X_7)))) )],[refute_0_380,refute_0_381]) ).
cnf(refute_0_383,plain,
complement(join(complement(X_7),meet(X_7,complement(X_7)))) = meet(top,X_7),
inference(resolve,[$cnf( $equal(complement(join(zero,complement(X_7))),meet(top,X_7)) )],[refute_0_365,refute_0_382]) ).
cnf(refute_0_384,plain,
meet(X0,join(complement(X_6),complement(X_7))) = complement(join(complement(X0),complement(join(complement(X_6),complement(X_7))))),
inference(subst,[],[refute_0_20:[bind(X1,$fot(join(complement(X_6),complement(X_7))))]]) ).
cnf(refute_0_385,plain,
( complement(join(complement(X_6),complement(X_7))) != meet(X_6,X_7)
| meet(X0,join(complement(X_6),complement(X_7))) != complement(join(complement(X0),complement(join(complement(X_6),complement(X_7)))))
| meet(X0,join(complement(X_6),complement(X_7))) = complement(join(complement(X0),meet(X_6,X_7))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X0,join(complement(X_6),complement(X_7))),complement(join(complement(X0),complement(join(complement(X_6),complement(X_7)))))) ),[1,0,1],$fot(meet(X_6,X_7))]]) ).
cnf(refute_0_386,plain,
( meet(X0,join(complement(X_6),complement(X_7))) != complement(join(complement(X0),complement(join(complement(X_6),complement(X_7)))))
| meet(X0,join(complement(X_6),complement(X_7))) = complement(join(complement(X0),meet(X_6,X_7))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_6),complement(X_7))),meet(X_6,X_7)) )],[refute_0_23,refute_0_385]) ).
cnf(refute_0_387,plain,
meet(X0,join(complement(X_6),complement(X_7))) = complement(join(complement(X0),meet(X_6,X_7))),
inference(resolve,[$cnf( $equal(meet(X0,join(complement(X_6),complement(X_7))),complement(join(complement(X0),complement(join(complement(X_6),complement(X_7)))))) )],[refute_0_384,refute_0_386]) ).
cnf(refute_0_388,plain,
meet(X_7,join(complement(X_7),complement(complement(X_7)))) = complement(join(complement(X_7),meet(X_7,complement(X_7)))),
inference(subst,[],[refute_0_387:[bind(X0,$fot(X_7)),bind(X_6,$fot(X_7)),bind(X_7,$fot(complement(X_7)))]]) ).
cnf(refute_0_389,plain,
( complement(join(complement(X_7),meet(X_7,complement(X_7)))) != meet(top,X_7)
| meet(X_7,join(complement(X_7),complement(complement(X_7)))) != complement(join(complement(X_7),meet(X_7,complement(X_7))))
| meet(X_7,join(complement(X_7),complement(complement(X_7)))) = meet(top,X_7) ),
inference(subst,[],[refute_0_41:[bind(X,$fot(meet(X_7,join(complement(X_7),complement(complement(X_7)))))),bind(Y,$fot(complement(join(complement(X_7),meet(X_7,complement(X_7)))))),bind(Z,$fot(meet(top,X_7)))]]) ).
cnf(refute_0_390,plain,
( complement(join(complement(X_7),meet(X_7,complement(X_7)))) != meet(top,X_7)
| meet(X_7,join(complement(X_7),complement(complement(X_7)))) = meet(top,X_7) ),
inference(resolve,[$cnf( $equal(meet(X_7,join(complement(X_7),complement(complement(X_7)))),complement(join(complement(X_7),meet(X_7,complement(X_7))))) )],[refute_0_388,refute_0_389]) ).
cnf(refute_0_391,plain,
meet(X_7,join(complement(X_7),complement(complement(X_7)))) = meet(top,X_7),
inference(resolve,[$cnf( $equal(complement(join(complement(X_7),meet(X_7,complement(X_7)))),meet(top,X_7)) )],[refute_0_383,refute_0_390]) ).
cnf(refute_0_392,plain,
join(zero,meet(X_7,join(complement(X_7),complement(complement(X_7))))) = join(zero,meet(X_7,join(complement(X_7),complement(complement(X_7))))),
introduced(tautology,[refl,[$fot(join(zero,meet(X_7,join(complement(X_7),complement(complement(X_7))))))]]) ).
cnf(refute_0_393,plain,
( join(zero,meet(X_7,join(complement(X_7),complement(complement(X_7))))) != join(zero,meet(X_7,join(complement(X_7),complement(complement(X_7)))))
| meet(X_7,join(complement(X_7),complement(complement(X_7)))) != meet(top,X_7)
| join(zero,meet(X_7,join(complement(X_7),complement(complement(X_7))))) = join(zero,meet(top,X_7)) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(X_7,join(complement(X_7),complement(complement(X_7))))),join(zero,meet(X_7,join(complement(X_7),complement(complement(X_7)))))) ),[1,1],$fot(meet(top,X_7))]]) ).
cnf(refute_0_394,plain,
( meet(X_7,join(complement(X_7),complement(complement(X_7)))) != meet(top,X_7)
| join(zero,meet(X_7,join(complement(X_7),complement(complement(X_7))))) = join(zero,meet(top,X_7)) ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_7,join(complement(X_7),complement(complement(X_7))))),join(zero,meet(X_7,join(complement(X_7),complement(complement(X_7)))))) )],[refute_0_392,refute_0_393]) ).
cnf(refute_0_395,plain,
join(zero,meet(X_7,join(complement(X_7),complement(complement(X_7))))) = join(zero,meet(top,X_7)),
inference(resolve,[$cnf( $equal(meet(X_7,join(complement(X_7),complement(complement(X_7)))),meet(top,X_7)) )],[refute_0_391,refute_0_394]) ).
cnf(refute_0_396,plain,
( X_7 != join(zero,meet(X_7,join(complement(X_7),complement(complement(X_7)))))
| join(zero,meet(X_7,join(complement(X_7),complement(complement(X_7))))) != join(zero,meet(top,X_7))
| X_7 = join(zero,meet(top,X_7)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_7,join(zero,meet(top,X_7))) ),[0],$fot(join(zero,meet(X_7,join(complement(X_7),complement(complement(X_7))))))]]) ).
cnf(refute_0_397,plain,
( X_7 != join(zero,meet(X_7,join(complement(X_7),complement(complement(X_7)))))
| X_7 = join(zero,meet(top,X_7)) ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_7,join(complement(X_7),complement(complement(X_7))))),join(zero,meet(top,X_7))) )],[refute_0_395,refute_0_396]) ).
cnf(refute_0_398,plain,
X_7 = join(zero,meet(top,X_7)),
inference(resolve,[$cnf( $equal(X_7,join(zero,meet(X_7,join(complement(X_7),complement(complement(X_7)))))) )],[refute_0_364,refute_0_397]) ).
cnf(refute_0_399,plain,
( X_7 != join(zero,meet(top,X_7))
| join(zero,meet(top,X_7)) = X_7 ),
inference(subst,[],[refute_0_5:[bind(X,$fot(X_7)),bind(Y,$fot(join(zero,meet(top,X_7))))]]) ).
cnf(refute_0_400,plain,
join(zero,meet(top,X_7)) = X_7,
inference(resolve,[$cnf( $equal(X_7,join(zero,meet(top,X_7))) )],[refute_0_398,refute_0_399]) ).
cnf(refute_0_401,plain,
join(zero,meet(top,X_10)) = X_10,
inference(subst,[],[refute_0_400:[bind(X_7,$fot(X_10))]]) ).
cnf(refute_0_402,plain,
meet(meet(top,X_10),join(zero,meet(top,X_10))) = meet(meet(top,X_10),join(zero,meet(top,X_10))),
introduced(tautology,[refl,[$fot(meet(meet(top,X_10),join(zero,meet(top,X_10))))]]) ).
cnf(refute_0_403,plain,
( join(zero,meet(top,X_10)) != X_10
| meet(meet(top,X_10),join(zero,meet(top,X_10))) != meet(meet(top,X_10),join(zero,meet(top,X_10)))
| meet(meet(top,X_10),join(zero,meet(top,X_10))) = meet(meet(top,X_10),X_10) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(top,X_10),join(zero,meet(top,X_10))),meet(meet(top,X_10),join(zero,meet(top,X_10)))) ),[1,1],$fot(X_10)]]) ).
cnf(refute_0_404,plain,
( join(zero,meet(top,X_10)) != X_10
| meet(meet(top,X_10),join(zero,meet(top,X_10))) = meet(meet(top,X_10),X_10) ),
inference(resolve,[$cnf( $equal(meet(meet(top,X_10),join(zero,meet(top,X_10))),meet(meet(top,X_10),join(zero,meet(top,X_10)))) )],[refute_0_402,refute_0_403]) ).
cnf(refute_0_405,plain,
meet(meet(top,X_10),join(zero,meet(top,X_10))) = meet(meet(top,X_10),X_10),
inference(resolve,[$cnf( $equal(join(zero,meet(top,X_10)),X_10) )],[refute_0_401,refute_0_404]) ).
cnf(refute_0_406,plain,
( meet(meet(top,X_10),X_10) != meet(X_10,meet(top,X_10))
| meet(meet(top,X_10),join(zero,meet(top,X_10))) != meet(meet(top,X_10),X_10)
| meet(meet(top,X_10),join(zero,meet(top,X_10))) = meet(X_10,meet(top,X_10)) ),
inference(subst,[],[refute_0_41:[bind(X,$fot(meet(meet(top,X_10),join(zero,meet(top,X_10))))),bind(Y,$fot(meet(meet(top,X_10),X_10))),bind(Z,$fot(meet(X_10,meet(top,X_10))))]]) ).
cnf(refute_0_407,plain,
( meet(meet(top,X_10),X_10) != meet(X_10,meet(top,X_10))
| meet(meet(top,X_10),join(zero,meet(top,X_10))) = meet(X_10,meet(top,X_10)) ),
inference(resolve,[$cnf( $equal(meet(meet(top,X_10),join(zero,meet(top,X_10))),meet(meet(top,X_10),X_10)) )],[refute_0_405,refute_0_406]) ).
cnf(refute_0_408,plain,
meet(meet(top,X_10),join(zero,meet(top,X_10))) = meet(X_10,meet(top,X_10)),
inference(resolve,[$cnf( $equal(meet(meet(top,X_10),X_10),meet(X_10,meet(top,X_10))) )],[refute_0_301,refute_0_407]) ).
cnf(refute_0_409,plain,
join(zero,meet(meet(top,X_10),join(zero,meet(top,X_10)))) = join(zero,meet(meet(top,X_10),join(zero,meet(top,X_10)))),
introduced(tautology,[refl,[$fot(join(zero,meet(meet(top,X_10),join(zero,meet(top,X_10)))))]]) ).
cnf(refute_0_410,plain,
( join(zero,meet(meet(top,X_10),join(zero,meet(top,X_10)))) != join(zero,meet(meet(top,X_10),join(zero,meet(top,X_10))))
| meet(meet(top,X_10),join(zero,meet(top,X_10))) != meet(X_10,meet(top,X_10))
| join(zero,meet(meet(top,X_10),join(zero,meet(top,X_10)))) = join(zero,meet(X_10,meet(top,X_10))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(meet(top,X_10),join(zero,meet(top,X_10)))),join(zero,meet(meet(top,X_10),join(zero,meet(top,X_10))))) ),[1,1],$fot(meet(X_10,meet(top,X_10)))]]) ).
cnf(refute_0_411,plain,
( meet(meet(top,X_10),join(zero,meet(top,X_10))) != meet(X_10,meet(top,X_10))
| join(zero,meet(meet(top,X_10),join(zero,meet(top,X_10)))) = join(zero,meet(X_10,meet(top,X_10))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(meet(top,X_10),join(zero,meet(top,X_10)))),join(zero,meet(meet(top,X_10),join(zero,meet(top,X_10))))) )],[refute_0_409,refute_0_410]) ).
cnf(refute_0_412,plain,
join(zero,meet(meet(top,X_10),join(zero,meet(top,X_10)))) = join(zero,meet(X_10,meet(top,X_10))),
inference(resolve,[$cnf( $equal(meet(meet(top,X_10),join(zero,meet(top,X_10))),meet(X_10,meet(top,X_10))) )],[refute_0_408,refute_0_411]) ).
cnf(refute_0_413,plain,
( join(zero,meet(X_10,meet(top,X_10))) != X_10
| join(zero,meet(meet(top,X_10),join(zero,meet(top,X_10)))) != join(zero,meet(X_10,meet(top,X_10)))
| join(zero,meet(meet(top,X_10),join(zero,meet(top,X_10)))) = X_10 ),
inference(subst,[],[refute_0_41:[bind(X,$fot(join(zero,meet(meet(top,X_10),join(zero,meet(top,X_10)))))),bind(Y,$fot(join(zero,meet(X_10,meet(top,X_10))))),bind(Z,$fot(X_10))]]) ).
cnf(refute_0_414,plain,
( join(zero,meet(X_10,meet(top,X_10))) != X_10
| join(zero,meet(meet(top,X_10),join(zero,meet(top,X_10)))) = X_10 ),
inference(resolve,[$cnf( $equal(join(zero,meet(meet(top,X_10),join(zero,meet(top,X_10)))),join(zero,meet(X_10,meet(top,X_10)))) )],[refute_0_412,refute_0_413]) ).
cnf(refute_0_415,plain,
join(zero,meet(meet(top,X_10),join(zero,meet(top,X_10)))) = X_10,
inference(resolve,[$cnf( $equal(join(zero,meet(X_10,meet(top,X_10))),X_10) )],[refute_0_300,refute_0_414]) ).
cnf(refute_0_416,plain,
( join(zero,meet(meet(top,X_10),join(zero,meet(top,X_10)))) != X_10
| meet(top,X_10) != join(zero,meet(meet(top,X_10),join(zero,meet(top,X_10))))
| meet(top,X_10) = X_10 ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,X_10),join(zero,meet(meet(top,X_10),join(zero,meet(top,X_10))))) ),[1],$fot(X_10)]]) ).
cnf(refute_0_417,plain,
( meet(top,X_10) != join(zero,meet(meet(top,X_10),join(zero,meet(top,X_10))))
| meet(top,X_10) = X_10 ),
inference(resolve,[$cnf( $equal(join(zero,meet(meet(top,X_10),join(zero,meet(top,X_10)))),X_10) )],[refute_0_415,refute_0_416]) ).
cnf(refute_0_418,plain,
meet(top,X_10) = X_10,
inference(resolve,[$cnf( $equal(meet(top,X_10),join(zero,meet(meet(top,X_10),join(zero,meet(top,X_10))))) )],[refute_0_172,refute_0_417]) ).
cnf(refute_0_419,plain,
meet(top,X1) = X1,
inference(subst,[],[refute_0_418:[bind(X_10,$fot(X1))]]) ).
cnf(refute_0_420,plain,
( meet(top,X1) != X1
| meet(top,X1) != complement(join(zero,complement(X1)))
| X1 = complement(join(zero,complement(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,X1),complement(join(zero,complement(X1)))) ),[0],$fot(X1)]]) ).
cnf(refute_0_421,plain,
( meet(top,X1) != complement(join(zero,complement(X1)))
| X1 = complement(join(zero,complement(X1))) ),
inference(resolve,[$cnf( $equal(meet(top,X1),X1) )],[refute_0_419,refute_0_420]) ).
cnf(refute_0_422,plain,
X1 = complement(join(zero,complement(X1))),
inference(resolve,[$cnf( $equal(meet(top,X1),complement(join(zero,complement(X1)))) )],[refute_0_95,refute_0_421]) ).
cnf(refute_0_423,plain,
meet(top,join(zero,complement(X_10))) = complement(join(zero,complement(join(zero,complement(X_10))))),
inference(subst,[],[refute_0_95:[bind(X1,$fot(join(zero,complement(X_10))))]]) ).
cnf(refute_0_424,plain,
( complement(join(zero,complement(X_10))) != meet(top,X_10)
| meet(top,join(zero,complement(X_10))) != complement(join(zero,complement(join(zero,complement(X_10)))))
| meet(top,join(zero,complement(X_10))) = complement(join(zero,meet(top,X_10))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,join(zero,complement(X_10))),complement(join(zero,complement(join(zero,complement(X_10)))))) ),[1,0,1],$fot(meet(top,X_10))]]) ).
cnf(refute_0_425,plain,
( meet(top,join(zero,complement(X_10))) != complement(join(zero,complement(join(zero,complement(X_10)))))
| meet(top,join(zero,complement(X_10))) = complement(join(zero,meet(top,X_10))) ),
inference(resolve,[$cnf( $equal(complement(join(zero,complement(X_10))),meet(top,X_10)) )],[refute_0_129,refute_0_424]) ).
cnf(refute_0_426,plain,
meet(top,join(zero,complement(X_10))) = complement(join(zero,meet(top,X_10))),
inference(resolve,[$cnf( $equal(meet(top,join(zero,complement(X_10))),complement(join(zero,complement(join(zero,complement(X_10)))))) )],[refute_0_423,refute_0_425]) ).
cnf(refute_0_427,plain,
complement(join(zero,meet(top,X_10))) = complement(join(zero,meet(top,X_10))),
introduced(tautology,[refl,[$fot(complement(join(zero,meet(top,X_10))))]]) ).
cnf(refute_0_428,plain,
( complement(join(zero,meet(top,X_10))) != complement(join(zero,meet(top,X_10)))
| join(zero,meet(top,X_10)) != X_10
| complement(join(zero,meet(top,X_10))) = complement(X_10) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(zero,meet(top,X_10))),complement(join(zero,meet(top,X_10)))) ),[1,0],$fot(X_10)]]) ).
cnf(refute_0_429,plain,
( join(zero,meet(top,X_10)) != X_10
| complement(join(zero,meet(top,X_10))) = complement(X_10) ),
inference(resolve,[$cnf( $equal(complement(join(zero,meet(top,X_10))),complement(join(zero,meet(top,X_10)))) )],[refute_0_427,refute_0_428]) ).
cnf(refute_0_430,plain,
complement(join(zero,meet(top,X_10))) = complement(X_10),
inference(resolve,[$cnf( $equal(join(zero,meet(top,X_10)),X_10) )],[refute_0_401,refute_0_429]) ).
cnf(refute_0_431,plain,
( complement(join(zero,meet(top,X_10))) != complement(X_10)
| meet(top,join(zero,complement(X_10))) != complement(join(zero,meet(top,X_10)))
| meet(top,join(zero,complement(X_10))) = complement(X_10) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,join(zero,complement(X_10))),complement(join(zero,meet(top,X_10)))) ),[1],$fot(complement(X_10))]]) ).
cnf(refute_0_432,plain,
( meet(top,join(zero,complement(X_10))) != complement(join(zero,meet(top,X_10)))
| meet(top,join(zero,complement(X_10))) = complement(X_10) ),
inference(resolve,[$cnf( $equal(complement(join(zero,meet(top,X_10))),complement(X_10)) )],[refute_0_430,refute_0_431]) ).
cnf(refute_0_433,plain,
meet(top,join(zero,complement(X_10))) = complement(X_10),
inference(resolve,[$cnf( $equal(meet(top,join(zero,complement(X_10))),complement(join(zero,meet(top,X_10)))) )],[refute_0_426,refute_0_432]) ).
cnf(refute_0_434,plain,
meet(top,join(zero,complement(X_10))) = join(zero,complement(X_10)),
inference(subst,[],[refute_0_418:[bind(X_10,$fot(join(zero,complement(X_10))))]]) ).
cnf(refute_0_435,plain,
( meet(top,join(zero,complement(X_10))) != complement(X_10)
| meet(top,join(zero,complement(X_10))) != join(zero,complement(X_10))
| join(zero,complement(X_10)) = complement(X_10) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,join(zero,complement(X_10))),complement(X_10)) ),[0],$fot(join(zero,complement(X_10)))]]) ).
cnf(refute_0_436,plain,
( meet(top,join(zero,complement(X_10))) != complement(X_10)
| join(zero,complement(X_10)) = complement(X_10) ),
inference(resolve,[$cnf( $equal(meet(top,join(zero,complement(X_10))),join(zero,complement(X_10))) )],[refute_0_434,refute_0_435]) ).
cnf(refute_0_437,plain,
join(zero,complement(X_10)) = complement(X_10),
inference(resolve,[$cnf( $equal(meet(top,join(zero,complement(X_10))),complement(X_10)) )],[refute_0_433,refute_0_436]) ).
cnf(refute_0_438,plain,
join(zero,complement(X1)) = complement(X1),
inference(subst,[],[refute_0_437:[bind(X_10,$fot(X1))]]) ).
cnf(refute_0_439,plain,
complement(join(zero,complement(X1))) = complement(join(zero,complement(X1))),
introduced(tautology,[refl,[$fot(complement(join(zero,complement(X1))))]]) ).
cnf(refute_0_440,plain,
( complement(join(zero,complement(X1))) != complement(join(zero,complement(X1)))
| join(zero,complement(X1)) != complement(X1)
| complement(join(zero,complement(X1))) = complement(complement(X1)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(zero,complement(X1))),complement(join(zero,complement(X1)))) ),[1,0],$fot(complement(X1))]]) ).
cnf(refute_0_441,plain,
( join(zero,complement(X1)) != complement(X1)
| complement(join(zero,complement(X1))) = complement(complement(X1)) ),
inference(resolve,[$cnf( $equal(complement(join(zero,complement(X1))),complement(join(zero,complement(X1)))) )],[refute_0_439,refute_0_440]) ).
cnf(refute_0_442,plain,
complement(join(zero,complement(X1))) = complement(complement(X1)),
inference(resolve,[$cnf( $equal(join(zero,complement(X1)),complement(X1)) )],[refute_0_438,refute_0_441]) ).
cnf(refute_0_443,plain,
( X1 != complement(join(zero,complement(X1)))
| complement(join(zero,complement(X1))) != complement(complement(X1))
| X1 = complement(complement(X1)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X1,complement(complement(X1))) ),[0],$fot(complement(join(zero,complement(X1))))]]) ).
cnf(refute_0_444,plain,
( X1 != complement(join(zero,complement(X1)))
| X1 = complement(complement(X1)) ),
inference(resolve,[$cnf( $equal(complement(join(zero,complement(X1))),complement(complement(X1))) )],[refute_0_442,refute_0_443]) ).
cnf(refute_0_445,plain,
X1 = complement(complement(X1)),
inference(resolve,[$cnf( $equal(X1,complement(join(zero,complement(X1)))) )],[refute_0_422,refute_0_444]) ).
cnf(refute_0_446,plain,
( X1 != complement(complement(X1))
| complement(complement(X1)) = X1 ),
inference(subst,[],[refute_0_5:[bind(X,$fot(X1)),bind(Y,$fot(complement(complement(X1))))]]) ).
cnf(refute_0_447,plain,
complement(complement(X1)) = X1,
inference(resolve,[$cnf( $equal(X1,complement(complement(X1))) )],[refute_0_445,refute_0_446]) ).
cnf(refute_0_448,plain,
complement(complement(X_29)) = X_29,
inference(subst,[],[refute_0_447:[bind(X1,$fot(X_29))]]) ).
cnf(refute_0_449,plain,
meet(X_29,X_29) = complement(complement(X_29)),
inference(subst,[],[refute_0_360:[bind(X1,$fot(X_29))]]) ).
cnf(refute_0_450,plain,
( complement(complement(X_29)) != X_29
| meet(X_29,X_29) != complement(complement(X_29))
| meet(X_29,X_29) = X_29 ),
inference(subst,[],[refute_0_41:[bind(X,$fot(meet(X_29,X_29))),bind(Y,$fot(complement(complement(X_29)))),bind(Z,$fot(X_29))]]) ).
cnf(refute_0_451,plain,
( complement(complement(X_29)) != X_29
| meet(X_29,X_29) = X_29 ),
inference(resolve,[$cnf( $equal(meet(X_29,X_29),complement(complement(X_29))) )],[refute_0_449,refute_0_450]) ).
cnf(refute_0_452,plain,
meet(X_29,X_29) = X_29,
inference(resolve,[$cnf( $equal(complement(complement(X_29)),X_29) )],[refute_0_448,refute_0_451]) ).
cnf(refute_0_453,plain,
meet(X_29,complement(complement(X_29))) = meet(X_29,complement(complement(X_29))),
introduced(tautology,[refl,[$fot(meet(X_29,complement(complement(X_29))))]]) ).
cnf(refute_0_454,plain,
( complement(complement(X_29)) != X_29
| meet(X_29,complement(complement(X_29))) != meet(X_29,complement(complement(X_29)))
| meet(X_29,complement(complement(X_29))) = meet(X_29,X_29) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_29,complement(complement(X_29))),meet(X_29,complement(complement(X_29)))) ),[1,1],$fot(X_29)]]) ).
cnf(refute_0_455,plain,
( complement(complement(X_29)) != X_29
| meet(X_29,complement(complement(X_29))) = meet(X_29,X_29) ),
inference(resolve,[$cnf( $equal(meet(X_29,complement(complement(X_29))),meet(X_29,complement(complement(X_29)))) )],[refute_0_453,refute_0_454]) ).
cnf(refute_0_456,plain,
meet(X_29,complement(complement(X_29))) = meet(X_29,X_29),
inference(resolve,[$cnf( $equal(complement(complement(X_29)),X_29) )],[refute_0_448,refute_0_455]) ).
cnf(refute_0_457,plain,
( meet(X_29,X_29) != X_29
| meet(X_29,complement(complement(X_29))) != meet(X_29,X_29)
| meet(X_29,complement(complement(X_29))) = X_29 ),
inference(subst,[],[refute_0_41:[bind(X,$fot(meet(X_29,complement(complement(X_29))))),bind(Y,$fot(meet(X_29,X_29))),bind(Z,$fot(X_29))]]) ).
cnf(refute_0_458,plain,
( meet(X_29,X_29) != X_29
| meet(X_29,complement(complement(X_29))) = X_29 ),
inference(resolve,[$cnf( $equal(meet(X_29,complement(complement(X_29))),meet(X_29,X_29)) )],[refute_0_456,refute_0_457]) ).
cnf(refute_0_459,plain,
meet(X_29,complement(complement(X_29))) = X_29,
inference(resolve,[$cnf( $equal(meet(X_29,X_29),X_29) )],[refute_0_452,refute_0_458]) ).
cnf(refute_0_460,plain,
join(zero,meet(X_29,complement(complement(X_29)))) = join(zero,meet(X_29,complement(complement(X_29)))),
introduced(tautology,[refl,[$fot(join(zero,meet(X_29,complement(complement(X_29)))))]]) ).
cnf(refute_0_461,plain,
( join(zero,meet(X_29,complement(complement(X_29)))) != join(zero,meet(X_29,complement(complement(X_29))))
| meet(X_29,complement(complement(X_29))) != X_29
| join(zero,meet(X_29,complement(complement(X_29)))) = join(zero,X_29) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(X_29,complement(complement(X_29)))),join(zero,meet(X_29,complement(complement(X_29))))) ),[1,1],$fot(X_29)]]) ).
cnf(refute_0_462,plain,
( meet(X_29,complement(complement(X_29))) != X_29
| join(zero,meet(X_29,complement(complement(X_29)))) = join(zero,X_29) ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_29,complement(complement(X_29)))),join(zero,meet(X_29,complement(complement(X_29))))) )],[refute_0_460,refute_0_461]) ).
cnf(refute_0_463,plain,
join(zero,meet(X_29,complement(complement(X_29)))) = join(zero,X_29),
inference(resolve,[$cnf( $equal(meet(X_29,complement(complement(X_29))),X_29) )],[refute_0_459,refute_0_462]) ).
cnf(refute_0_464,plain,
( X_29 != join(zero,meet(X_29,complement(complement(X_29))))
| join(zero,meet(X_29,complement(complement(X_29)))) != join(zero,X_29)
| X_29 = join(zero,X_29) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_29,join(zero,X_29)) ),[0],$fot(join(zero,meet(X_29,complement(complement(X_29)))))]]) ).
cnf(refute_0_465,plain,
( X_29 != join(zero,meet(X_29,complement(complement(X_29))))
| X_29 = join(zero,X_29) ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_29,complement(complement(X_29)))),join(zero,X_29)) )],[refute_0_463,refute_0_464]) ).
cnf(refute_0_466,plain,
X_29 = join(zero,X_29),
inference(resolve,[$cnf( $equal(X_29,join(zero,meet(X_29,complement(complement(X_29))))) )],[refute_0_91,refute_0_465]) ).
cnf(refute_0_467,plain,
( X_29 != join(zero,X_29)
| join(zero,X_29) = X_29 ),
inference(subst,[],[refute_0_5:[bind(X,$fot(X_29)),bind(Y,$fot(join(zero,X_29)))]]) ).
cnf(refute_0_468,plain,
join(zero,X_29) = X_29,
inference(resolve,[$cnf( $equal(X_29,join(zero,X_29)) )],[refute_0_466,refute_0_467]) ).
cnf(refute_0_469,plain,
join(zero,composition(converse(X_74),complement(composition(X_74,top)))) = composition(converse(X_74),complement(composition(X_74,top))),
inference(subst,[],[refute_0_468:[bind(X_29,$fot(composition(converse(X_74),complement(composition(X_74,top)))))]]) ).
cnf(refute_0_470,plain,
( join(zero,composition(converse(X_74),complement(composition(X_74,top)))) != composition(converse(X_74),complement(composition(X_74,top)))
| join(zero,composition(converse(X_74),complement(composition(X_74,top)))) != zero
| composition(converse(X_74),complement(composition(X_74,top))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,composition(converse(X_74),complement(composition(X_74,top)))),zero) ),[0],$fot(composition(converse(X_74),complement(composition(X_74,top))))]]) ).
cnf(refute_0_471,plain,
( join(zero,composition(converse(X_74),complement(composition(X_74,top)))) != zero
| composition(converse(X_74),complement(composition(X_74,top))) = zero ),
inference(resolve,[$cnf( $equal(join(zero,composition(converse(X_74),complement(composition(X_74,top)))),composition(converse(X_74),complement(composition(X_74,top)))) )],[refute_0_469,refute_0_470]) ).
cnf(refute_0_472,plain,
composition(converse(X_74),complement(composition(X_74,top))) = zero,
inference(resolve,[$cnf( $equal(join(zero,composition(converse(X_74),complement(composition(X_74,top)))),zero) )],[refute_0_55,refute_0_471]) ).
cnf(refute_0_473,plain,
composition(converse(X_88),complement(composition(X_88,top))) = zero,
inference(subst,[],[refute_0_472:[bind(X_74,$fot(X_88))]]) ).
cnf(refute_0_474,plain,
( composition(converse(X_88),complement(composition(X_88,top))) != zero
| converse(composition(converse(X_88),complement(composition(X_88,top)))) != composition(converse(complement(composition(X_88,top))),converse(converse(X_88)))
| converse(zero) = composition(converse(complement(composition(X_88,top))),converse(converse(X_88))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(X_88),complement(composition(X_88,top)))),composition(converse(complement(composition(X_88,top))),converse(converse(X_88)))) ),[0,0],$fot(zero)]]) ).
cnf(refute_0_475,plain,
( converse(composition(converse(X_88),complement(composition(X_88,top)))) != composition(converse(complement(composition(X_88,top))),converse(converse(X_88)))
| converse(zero) = composition(converse(complement(composition(X_88,top))),converse(converse(X_88))) ),
inference(resolve,[$cnf( $equal(composition(converse(X_88),complement(composition(X_88,top))),zero) )],[refute_0_473,refute_0_474]) ).
cnf(refute_0_476,plain,
converse(zero) = composition(converse(complement(composition(X_88,top))),converse(converse(X_88))),
inference(resolve,[$cnf( $equal(converse(composition(converse(X_88),complement(composition(X_88,top)))),composition(converse(complement(composition(X_88,top))),converse(converse(X_88)))) )],[refute_0_16,refute_0_475]) ).
cnf(refute_0_477,plain,
zero = meet(converse(zero),complement(converse(zero))),
inference(subst,[],[refute_0_18:[bind(X0,$fot(converse(zero)))]]) ).
cnf(refute_0_478,plain,
converse(converse(complement(converse(zero)))) = complement(converse(zero)),
inference(subst,[],[refute_0_308:[bind(X0,$fot(complement(converse(zero))))]]) ).
cnf(refute_0_479,plain,
top = join(meet(top,converse(complement(converse(zero)))),complement(join(zero,converse(complement(converse(zero)))))),
inference(subst,[],[refute_0_207:[bind(X_30,$fot(converse(complement(converse(zero)))))]]) ).
cnf(refute_0_480,plain,
converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(canonicalize,[],[normalize_0_25]) ).
cnf(refute_0_481,plain,
converse(join(converse(X0),X_12)) = join(converse(converse(X0)),converse(X_12)),
inference(subst,[],[refute_0_480:[bind(X0,$fot(converse(X0))),bind(X1,$fot(X_12))]]) ).
cnf(refute_0_482,plain,
( converse(converse(X0)) != X0
| converse(join(converse(X0),X_12)) != join(converse(converse(X0)),converse(X_12))
| converse(join(converse(X0),X_12)) = join(X0,converse(X_12)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X0),X_12)),join(converse(converse(X0)),converse(X_12))) ),[1,0],$fot(X0)]]) ).
cnf(refute_0_483,plain,
( converse(join(converse(X0),X_12)) != join(converse(converse(X0)),converse(X_12))
| converse(join(converse(X0),X_12)) = join(X0,converse(X_12)) ),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_0_308,refute_0_482]) ).
cnf(refute_0_484,plain,
converse(join(converse(X0),X_12)) = join(X0,converse(X_12)),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),X_12)),join(converse(converse(X0)),converse(X_12))) )],[refute_0_481,refute_0_483]) ).
cnf(refute_0_485,plain,
converse(join(converse(X_13),complement(converse(X_13)))) = join(X_13,converse(complement(converse(X_13)))),
inference(subst,[],[refute_0_484:[bind(X0,$fot(X_13)),bind(X_12,$fot(complement(converse(X_13))))]]) ).
cnf(refute_0_486,plain,
top = join(converse(X_13),complement(converse(X_13))),
inference(subst,[],[refute_0_27:[bind(X0,$fot(converse(X_13)))]]) ).
cnf(refute_0_487,plain,
( top != join(converse(X_13),complement(converse(X_13)))
| join(converse(X_13),complement(converse(X_13))) = top ),
inference(subst,[],[refute_0_5:[bind(X,$fot(top)),bind(Y,$fot(join(converse(X_13),complement(converse(X_13)))))]]) ).
cnf(refute_0_488,plain,
join(converse(X_13),complement(converse(X_13))) = top,
inference(resolve,[$cnf( $equal(top,join(converse(X_13),complement(converse(X_13)))) )],[refute_0_486,refute_0_487]) ).
cnf(refute_0_489,plain,
( converse(join(converse(X_13),complement(converse(X_13)))) != join(X_13,converse(complement(converse(X_13))))
| join(converse(X_13),complement(converse(X_13))) != top
| converse(top) = join(X_13,converse(complement(converse(X_13)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X_13),complement(converse(X_13)))),join(X_13,converse(complement(converse(X_13))))) ),[0,0],$fot(top)]]) ).
cnf(refute_0_490,plain,
( converse(join(converse(X_13),complement(converse(X_13)))) != join(X_13,converse(complement(converse(X_13))))
| converse(top) = join(X_13,converse(complement(converse(X_13)))) ),
inference(resolve,[$cnf( $equal(join(converse(X_13),complement(converse(X_13))),top) )],[refute_0_488,refute_0_489]) ).
cnf(refute_0_491,plain,
converse(top) = join(X_13,converse(complement(converse(X_13)))),
inference(resolve,[$cnf( $equal(converse(join(converse(X_13),complement(converse(X_13)))),join(X_13,converse(complement(converse(X_13))))) )],[refute_0_485,refute_0_490]) ).
cnf(refute_0_492,plain,
converse(top) = join(zero,converse(complement(converse(zero)))),
inference(subst,[],[refute_0_491:[bind(X_13,$fot(zero))]]) ).
cnf(refute_0_493,plain,
( converse(top) != join(zero,converse(complement(converse(zero))))
| join(zero,converse(complement(converse(zero)))) = converse(top) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(converse(top))),bind(Y,$fot(join(zero,converse(complement(converse(zero))))))]]) ).
cnf(refute_0_494,plain,
join(zero,converse(complement(converse(zero)))) = converse(top),
inference(resolve,[$cnf( $equal(converse(top),join(zero,converse(complement(converse(zero))))) )],[refute_0_492,refute_0_493]) ).
cnf(refute_0_495,plain,
( join(zero,converse(complement(converse(zero)))) != converse(top)
| top != join(meet(top,converse(complement(converse(zero)))),complement(join(zero,converse(complement(converse(zero))))))
| top = join(meet(top,converse(complement(converse(zero)))),complement(converse(top))) ),
introduced(tautology,[equality,[$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_0_496,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( $equal(join(zero,converse(complement(converse(zero)))),converse(top)) )],[refute_0_494,refute_0_495]) ).
cnf(refute_0_497,plain,
top = join(meet(top,converse(complement(converse(zero)))),complement(converse(top))),
inference(resolve,[$cnf( $equal(top,join(meet(top,converse(complement(converse(zero)))),complement(join(zero,converse(complement(converse(zero))))))) )],[refute_0_479,refute_0_496]) ).
cnf(refute_0_498,plain,
join(meet(top,converse(complement(converse(zero)))),complement(converse(top))) = join(complement(converse(top)),meet(top,converse(complement(converse(zero))))),
inference(subst,[],[refute_0_7:[bind(X0,$fot(complement(converse(top)))),bind(X1,$fot(meet(top,converse(complement(converse(zero))))))]]) ).
cnf(refute_0_499,plain,
( join(meet(top,converse(complement(converse(zero)))),complement(converse(top))) != join(complement(converse(top)),meet(top,converse(complement(converse(zero)))))
| top != join(meet(top,converse(complement(converse(zero)))),complement(converse(top)))
| top = join(complement(converse(top)),meet(top,converse(complement(converse(zero))))) ),
introduced(tautology,[equality,[$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_0_500,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( $equal(join(meet(top,converse(complement(converse(zero)))),complement(converse(top))),join(complement(converse(top)),meet(top,converse(complement(converse(zero)))))) )],[refute_0_498,refute_0_499]) ).
cnf(refute_0_501,plain,
top = join(complement(converse(top)),meet(top,converse(complement(converse(zero))))),
inference(resolve,[$cnf( $equal(top,join(meet(top,converse(complement(converse(zero)))),complement(converse(top)))) )],[refute_0_497,refute_0_500]) ).
cnf(refute_0_502,plain,
meet(top,converse(complement(converse(zero)))) = converse(complement(converse(zero))),
inference(subst,[],[refute_0_418:[bind(X_10,$fot(converse(complement(converse(zero)))))]]) ).
cnf(refute_0_503,plain,
join(complement(converse(top)),meet(top,converse(complement(converse(zero))))) = join(complement(converse(top)),meet(top,converse(complement(converse(zero))))),
introduced(tautology,[refl,[$fot(join(complement(converse(top)),meet(top,converse(complement(converse(zero))))))]]) ).
cnf(refute_0_504,plain,
( join(complement(converse(top)),meet(top,converse(complement(converse(zero))))) != join(complement(converse(top)),meet(top,converse(complement(converse(zero)))))
| meet(top,converse(complement(converse(zero)))) != converse(complement(converse(zero)))
| join(complement(converse(top)),meet(top,converse(complement(converse(zero))))) = join(complement(converse(top)),converse(complement(converse(zero)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(top)),meet(top,converse(complement(converse(zero))))),join(complement(converse(top)),meet(top,converse(complement(converse(zero)))))) ),[1,1],$fot(converse(complement(converse(zero))))]]) ).
cnf(refute_0_505,plain,
( meet(top,converse(complement(converse(zero)))) != converse(complement(converse(zero)))
| join(complement(converse(top)),meet(top,converse(complement(converse(zero))))) = join(complement(converse(top)),converse(complement(converse(zero)))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),meet(top,converse(complement(converse(zero))))),join(complement(converse(top)),meet(top,converse(complement(converse(zero)))))) )],[refute_0_503,refute_0_504]) ).
cnf(refute_0_506,plain,
join(complement(converse(top)),meet(top,converse(complement(converse(zero))))) = join(complement(converse(top)),converse(complement(converse(zero)))),
inference(resolve,[$cnf( $equal(meet(top,converse(complement(converse(zero)))),converse(complement(converse(zero)))) )],[refute_0_502,refute_0_505]) ).
cnf(refute_0_507,plain,
( join(complement(converse(top)),meet(top,converse(complement(converse(zero))))) != join(complement(converse(top)),converse(complement(converse(zero))))
| top != join(complement(converse(top)),meet(top,converse(complement(converse(zero)))))
| top = join(complement(converse(top)),converse(complement(converse(zero)))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(converse(top)),meet(top,converse(complement(converse(zero)))))) ),[1],$fot(join(complement(converse(top)),converse(complement(converse(zero)))))]]) ).
cnf(refute_0_508,plain,
( top != join(complement(converse(top)),meet(top,converse(complement(converse(zero)))))
| top = join(complement(converse(top)),converse(complement(converse(zero)))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),meet(top,converse(complement(converse(zero))))),join(complement(converse(top)),converse(complement(converse(zero))))) )],[refute_0_506,refute_0_507]) ).
cnf(refute_0_509,plain,
top = join(complement(converse(top)),converse(complement(converse(zero)))),
inference(resolve,[$cnf( $equal(top,join(complement(converse(top)),meet(top,converse(complement(converse(zero)))))) )],[refute_0_501,refute_0_508]) ).
cnf(refute_0_510,plain,
join(zero,converse(complement(converse(zero)))) = converse(complement(converse(zero))),
inference(subst,[],[refute_0_468:[bind(X_29,$fot(converse(complement(converse(zero)))))]]) ).
cnf(refute_0_511,plain,
join(zero,zero) = join(meet(join(zero,zero),X_30),complement(join(complement(join(zero,zero)),X_30))),
inference(subst,[],[refute_0_73:[bind(X0,$fot(join(zero,zero))),bind(X1,$fot(X_30))]]) ).
cnf(refute_0_512,plain,
meet(top,top) = complement(join(zero,complement(top))),
inference(subst,[],[refute_0_95:[bind(X1,$fot(top))]]) ).
cnf(refute_0_513,plain,
( complement(top) != zero
| meet(top,top) != complement(join(zero,complement(top)))
| meet(top,top) = complement(join(zero,zero)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,top),complement(join(zero,complement(top)))) ),[1,0,1],$fot(zero)]]) ).
cnf(refute_0_514,plain,
( meet(top,top) != complement(join(zero,complement(top)))
| meet(top,top) = complement(join(zero,zero)) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_49,refute_0_513]) ).
cnf(refute_0_515,plain,
meet(top,top) = complement(join(zero,zero)),
inference(resolve,[$cnf( $equal(meet(top,top),complement(join(zero,complement(top)))) )],[refute_0_512,refute_0_514]) ).
cnf(refute_0_516,plain,
( meet(top,top) != complement(join(zero,zero))
| complement(join(zero,zero)) = meet(top,top) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(meet(top,top))),bind(Y,$fot(complement(join(zero,zero))))]]) ).
cnf(refute_0_517,plain,
complement(join(zero,zero)) = meet(top,top),
inference(resolve,[$cnf( $equal(meet(top,top),complement(join(zero,zero))) )],[refute_0_515,refute_0_516]) ).
cnf(refute_0_518,plain,
( complement(join(zero,zero)) != meet(top,top)
| join(zero,zero) != join(meet(join(zero,zero),X_30),complement(join(complement(join(zero,zero)),X_30)))
| join(zero,zero) = join(meet(join(zero,zero),X_30),complement(join(meet(top,top),X_30))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,zero),join(meet(join(zero,zero),X_30),complement(join(complement(join(zero,zero)),X_30)))) ),[1,1,0,0],$fot(meet(top,top))]]) ).
cnf(refute_0_519,plain,
( join(zero,zero) != join(meet(join(zero,zero),X_30),complement(join(complement(join(zero,zero)),X_30)))
| join(zero,zero) = join(meet(join(zero,zero),X_30),complement(join(meet(top,top),X_30))) ),
inference(resolve,[$cnf( $equal(complement(join(zero,zero)),meet(top,top)) )],[refute_0_517,refute_0_518]) ).
cnf(refute_0_520,plain,
join(zero,zero) = join(meet(join(zero,zero),X_30),complement(join(meet(top,top),X_30))),
inference(resolve,[$cnf( $equal(join(zero,zero),join(meet(join(zero,zero),X_30),complement(join(complement(join(zero,zero)),X_30)))) )],[refute_0_511,refute_0_519]) ).
cnf(refute_0_521,plain,
join(meet(join(zero,zero),X_30),complement(join(top,X_30))) = join(complement(join(top,X_30)),meet(join(zero,zero),X_30)),
inference(subst,[],[refute_0_7:[bind(X0,$fot(complement(join(top,X_30)))),bind(X1,$fot(meet(join(zero,zero),X_30)))]]) ).
cnf(refute_0_522,plain,
top = join(meet(top,meet(top,complement(zero))),complement(join(zero,meet(top,complement(zero))))),
inference(subst,[],[refute_0_207:[bind(X_30,$fot(meet(top,complement(zero))))]]) ).
cnf(refute_0_523,plain,
top = join(zero,meet(top,complement(complement(top)))),
inference(subst,[],[refute_0_91:[bind(X_29,$fot(top))]]) ).
cnf(refute_0_524,plain,
( complement(top) != zero
| top != join(zero,meet(top,complement(complement(top))))
| top = join(zero,meet(top,complement(zero))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(zero,meet(top,complement(complement(top))))) ),[1,1,1,0],$fot(zero)]]) ).
cnf(refute_0_525,plain,
( top != join(zero,meet(top,complement(complement(top))))
| top = join(zero,meet(top,complement(zero))) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_49,refute_0_524]) ).
cnf(refute_0_526,plain,
top = join(zero,meet(top,complement(zero))),
inference(resolve,[$cnf( $equal(top,join(zero,meet(top,complement(complement(top))))) )],[refute_0_523,refute_0_525]) ).
cnf(refute_0_527,plain,
( top != join(zero,meet(top,complement(zero)))
| join(zero,meet(top,complement(zero))) = top ),
inference(subst,[],[refute_0_5:[bind(X,$fot(top)),bind(Y,$fot(join(zero,meet(top,complement(zero)))))]]) ).
cnf(refute_0_528,plain,
join(zero,meet(top,complement(zero))) = top,
inference(resolve,[$cnf( $equal(top,join(zero,meet(top,complement(zero)))) )],[refute_0_526,refute_0_527]) ).
cnf(refute_0_529,plain,
( join(zero,meet(top,complement(zero))) != top
| top != join(meet(top,meet(top,complement(zero))),complement(join(zero,meet(top,complement(zero)))))
| top = join(meet(top,meet(top,complement(zero))),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(meet(top,meet(top,complement(zero))),complement(join(zero,meet(top,complement(zero)))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_0_530,plain,
( top != join(meet(top,meet(top,complement(zero))),complement(join(zero,meet(top,complement(zero)))))
| top = join(meet(top,meet(top,complement(zero))),complement(top)) ),
inference(resolve,[$cnf( $equal(join(zero,meet(top,complement(zero))),top) )],[refute_0_528,refute_0_529]) ).
cnf(refute_0_531,plain,
top = join(meet(top,meet(top,complement(zero))),complement(top)),
inference(resolve,[$cnf( $equal(top,join(meet(top,meet(top,complement(zero))),complement(join(zero,meet(top,complement(zero)))))) )],[refute_0_522,refute_0_530]) ).
cnf(refute_0_532,plain,
join(complement(top),meet(top,meet(top,complement(zero)))) = join(complement(top),meet(top,meet(top,complement(zero)))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(top,meet(top,complement(zero)))))]]) ).
cnf(refute_0_533,plain,
( complement(top) != zero
| join(complement(top),meet(top,meet(top,complement(zero)))) != join(complement(top),meet(top,meet(top,complement(zero))))
| join(complement(top),meet(top,meet(top,complement(zero)))) = join(zero,meet(top,meet(top,complement(zero)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(top,meet(top,complement(zero)))),join(complement(top),meet(top,meet(top,complement(zero))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_534,plain,
( complement(top) != zero
| join(complement(top),meet(top,meet(top,complement(zero)))) = join(zero,meet(top,meet(top,complement(zero)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(top,meet(top,complement(zero)))),join(complement(top),meet(top,meet(top,complement(zero))))) )],[refute_0_532,refute_0_533]) ).
cnf(refute_0_535,plain,
join(complement(top),meet(top,meet(top,complement(zero)))) = join(zero,meet(top,meet(top,complement(zero)))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_49,refute_0_534]) ).
cnf(refute_0_536,plain,
join(meet(top,meet(top,complement(zero))),complement(top)) = join(complement(top),meet(top,meet(top,complement(zero)))),
inference(subst,[],[refute_0_7:[bind(X0,$fot(complement(top))),bind(X1,$fot(meet(top,meet(top,complement(zero)))))]]) ).
cnf(refute_0_537,plain,
( join(complement(top),meet(top,meet(top,complement(zero)))) != join(zero,meet(top,meet(top,complement(zero))))
| join(meet(top,meet(top,complement(zero))),complement(top)) != join(complement(top),meet(top,meet(top,complement(zero))))
| join(meet(top,meet(top,complement(zero))),complement(top)) = join(zero,meet(top,meet(top,complement(zero)))) ),
inference(subst,[],[refute_0_41:[bind(X,$fot(join(meet(top,meet(top,complement(zero))),complement(top)))),bind(Y,$fot(join(complement(top),meet(top,meet(top,complement(zero)))))),bind(Z,$fot(join(zero,meet(top,meet(top,complement(zero))))))]]) ).
cnf(refute_0_538,plain,
( join(complement(top),meet(top,meet(top,complement(zero)))) != join(zero,meet(top,meet(top,complement(zero))))
| join(meet(top,meet(top,complement(zero))),complement(top)) = join(zero,meet(top,meet(top,complement(zero)))) ),
inference(resolve,[$cnf( $equal(join(meet(top,meet(top,complement(zero))),complement(top)),join(complement(top),meet(top,meet(top,complement(zero))))) )],[refute_0_536,refute_0_537]) ).
cnf(refute_0_539,plain,
join(meet(top,meet(top,complement(zero))),complement(top)) = join(zero,meet(top,meet(top,complement(zero)))),
inference(resolve,[$cnf( $equal(join(complement(top),meet(top,meet(top,complement(zero)))),join(zero,meet(top,meet(top,complement(zero))))) )],[refute_0_535,refute_0_538]) ).
cnf(refute_0_540,plain,
( join(meet(top,meet(top,complement(zero))),complement(top)) != join(zero,meet(top,meet(top,complement(zero))))
| top != join(meet(top,meet(top,complement(zero))),complement(top))
| top = join(zero,meet(top,meet(top,complement(zero)))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(meet(top,meet(top,complement(zero))),complement(top))) ),[1],$fot(join(zero,meet(top,meet(top,complement(zero)))))]]) ).
cnf(refute_0_541,plain,
( top != join(meet(top,meet(top,complement(zero))),complement(top))
| top = join(zero,meet(top,meet(top,complement(zero)))) ),
inference(resolve,[$cnf( $equal(join(meet(top,meet(top,complement(zero))),complement(top)),join(zero,meet(top,meet(top,complement(zero))))) )],[refute_0_539,refute_0_540]) ).
cnf(refute_0_542,plain,
top = join(zero,meet(top,meet(top,complement(zero)))),
inference(resolve,[$cnf( $equal(top,join(meet(top,meet(top,complement(zero))),complement(top))) )],[refute_0_531,refute_0_541]) ).
cnf(refute_0_543,plain,
meet(top,complement(join(zero,join(zero,zero)))) = join(zero,meet(meet(top,complement(join(zero,join(zero,zero)))),join(zero,meet(top,meet(top,complement(join(zero,join(zero,zero)))))))),
inference(subst,[],[refute_0_202:[bind(X_29,$fot(meet(top,complement(join(zero,join(zero,zero))))))]]) ).
cnf(refute_0_544,plain,
top = join(meet(top,meet(top,complement(join(zero,join(zero,zero))))),complement(join(zero,meet(top,complement(join(zero,join(zero,zero))))))),
inference(subst,[],[refute_0_207:[bind(X_30,$fot(meet(top,complement(join(zero,join(zero,zero))))))]]) ).
cnf(refute_0_545,plain,
top = join(meet(top,complement(join(zero,join(zero,zero)))),complement(join(zero,complement(join(zero,join(zero,zero)))))),
inference(subst,[],[refute_0_207:[bind(X_30,$fot(complement(join(zero,join(zero,zero)))))]]) ).
cnf(refute_0_546,plain,
top = join(meet(top,join(zero,zero)),complement(join(complement(top),join(zero,zero)))),
inference(subst,[],[refute_0_73:[bind(X0,$fot(top)),bind(X1,$fot(join(zero,zero)))]]) ).
cnf(refute_0_547,plain,
meet(top,join(zero,zero)) = complement(join(zero,complement(join(zero,zero)))),
inference(subst,[],[refute_0_95:[bind(X1,$fot(join(zero,zero)))]]) ).
cnf(refute_0_548,plain,
( complement(join(zero,zero)) != meet(top,top)
| meet(top,join(zero,zero)) != complement(join(zero,complement(join(zero,zero))))
| meet(top,join(zero,zero)) = complement(join(zero,meet(top,top))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,join(zero,zero)),complement(join(zero,complement(join(zero,zero))))) ),[1,0,1],$fot(meet(top,top))]]) ).
cnf(refute_0_549,plain,
( meet(top,join(zero,zero)) != complement(join(zero,complement(join(zero,zero))))
| meet(top,join(zero,zero)) = complement(join(zero,meet(top,top))) ),
inference(resolve,[$cnf( $equal(complement(join(zero,zero)),meet(top,top)) )],[refute_0_517,refute_0_548]) ).
cnf(refute_0_550,plain,
meet(top,join(zero,zero)) = complement(join(zero,meet(top,top))),
inference(resolve,[$cnf( $equal(meet(top,join(zero,zero)),complement(join(zero,complement(join(zero,zero))))) )],[refute_0_547,refute_0_549]) ).
cnf(refute_0_551,plain,
X_29 = join(meet(X_29,complement(X_29)),complement(join(complement(X_29),complement(X_29)))),
inference(subst,[],[refute_0_73:[bind(X0,$fot(X_29)),bind(X1,$fot(complement(X_29)))]]) ).
cnf(refute_0_552,plain,
zero = meet(X_29,complement(X_29)),
inference(subst,[],[refute_0_18:[bind(X0,$fot(X_29))]]) ).
cnf(refute_0_553,plain,
( zero != meet(X_29,complement(X_29))
| meet(X_29,complement(X_29)) = zero ),
inference(subst,[],[refute_0_5:[bind(X,$fot(zero)),bind(Y,$fot(meet(X_29,complement(X_29))))]]) ).
cnf(refute_0_554,plain,
meet(X_29,complement(X_29)) = zero,
inference(resolve,[$cnf( $equal(zero,meet(X_29,complement(X_29))) )],[refute_0_552,refute_0_553]) ).
cnf(refute_0_555,plain,
( X_29 != join(meet(X_29,complement(X_29)),complement(join(complement(X_29),complement(X_29))))
| meet(X_29,complement(X_29)) != zero
| X_29 = join(zero,complement(join(complement(X_29),complement(X_29)))) ),
introduced(tautology,[equality,[$cnf( $equal(X_29,join(meet(X_29,complement(X_29)),complement(join(complement(X_29),complement(X_29))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_556,plain,
( X_29 != join(meet(X_29,complement(X_29)),complement(join(complement(X_29),complement(X_29))))
| X_29 = join(zero,complement(join(complement(X_29),complement(X_29)))) ),
inference(resolve,[$cnf( $equal(meet(X_29,complement(X_29)),zero) )],[refute_0_554,refute_0_555]) ).
cnf(refute_0_557,plain,
X_29 = join(zero,complement(join(complement(X_29),complement(X_29)))),
inference(resolve,[$cnf( $equal(X_29,join(meet(X_29,complement(X_29)),complement(join(complement(X_29),complement(X_29))))) )],[refute_0_551,refute_0_556]) ).
cnf(refute_0_558,plain,
complement(join(complement(X_29),complement(X_29))) = meet(X_29,X_29),
inference(subst,[],[refute_0_63:[bind(X0,$fot(X_29)),bind(X1,$fot(X_29))]]) ).
cnf(refute_0_559,plain,
join(zero,complement(join(complement(X_29),complement(X_29)))) = join(zero,complement(join(complement(X_29),complement(X_29)))),
introduced(tautology,[refl,[$fot(join(zero,complement(join(complement(X_29),complement(X_29)))))]]) ).
cnf(refute_0_560,plain,
( complement(join(complement(X_29),complement(X_29))) != meet(X_29,X_29)
| join(zero,complement(join(complement(X_29),complement(X_29)))) != join(zero,complement(join(complement(X_29),complement(X_29))))
| join(zero,complement(join(complement(X_29),complement(X_29)))) = join(zero,meet(X_29,X_29)) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,complement(join(complement(X_29),complement(X_29)))),join(zero,complement(join(complement(X_29),complement(X_29))))) ),[1,1],$fot(meet(X_29,X_29))]]) ).
cnf(refute_0_561,plain,
( complement(join(complement(X_29),complement(X_29))) != meet(X_29,X_29)
| join(zero,complement(join(complement(X_29),complement(X_29)))) = join(zero,meet(X_29,X_29)) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(complement(X_29),complement(X_29)))),join(zero,complement(join(complement(X_29),complement(X_29))))) )],[refute_0_559,refute_0_560]) ).
cnf(refute_0_562,plain,
join(zero,complement(join(complement(X_29),complement(X_29)))) = join(zero,meet(X_29,X_29)),
inference(resolve,[$cnf( $equal(complement(join(complement(X_29),complement(X_29))),meet(X_29,X_29)) )],[refute_0_558,refute_0_561]) ).
cnf(refute_0_563,plain,
( X_29 != join(zero,complement(join(complement(X_29),complement(X_29))))
| join(zero,complement(join(complement(X_29),complement(X_29)))) != join(zero,meet(X_29,X_29))
| X_29 = join(zero,meet(X_29,X_29)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_29,join(zero,meet(X_29,X_29))) ),[0],$fot(join(zero,complement(join(complement(X_29),complement(X_29)))))]]) ).
cnf(refute_0_564,plain,
( X_29 != join(zero,complement(join(complement(X_29),complement(X_29))))
| X_29 = join(zero,meet(X_29,X_29)) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(complement(X_29),complement(X_29)))),join(zero,meet(X_29,X_29))) )],[refute_0_562,refute_0_563]) ).
cnf(refute_0_565,plain,
X_29 = join(zero,meet(X_29,X_29)),
inference(resolve,[$cnf( $equal(X_29,join(zero,complement(join(complement(X_29),complement(X_29))))) )],[refute_0_557,refute_0_564]) ).
cnf(refute_0_566,plain,
( X_29 != join(zero,meet(X_29,X_29))
| join(zero,meet(X_29,X_29)) = X_29 ),
inference(subst,[],[refute_0_5:[bind(X,$fot(X_29)),bind(Y,$fot(join(zero,meet(X_29,X_29))))]]) ).
cnf(refute_0_567,plain,
join(zero,meet(X_29,X_29)) = X_29,
inference(resolve,[$cnf( $equal(X_29,join(zero,meet(X_29,X_29))) )],[refute_0_565,refute_0_566]) ).
cnf(refute_0_568,plain,
join(zero,meet(top,top)) = top,
inference(subst,[],[refute_0_567:[bind(X_29,$fot(top))]]) ).
cnf(refute_0_569,plain,
complement(join(zero,meet(top,top))) = complement(join(zero,meet(top,top))),
introduced(tautology,[refl,[$fot(complement(join(zero,meet(top,top))))]]) ).
cnf(refute_0_570,plain,
( complement(join(zero,meet(top,top))) != complement(join(zero,meet(top,top)))
| join(zero,meet(top,top)) != top
| complement(join(zero,meet(top,top))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(zero,meet(top,top))),complement(join(zero,meet(top,top)))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_571,plain,
( join(zero,meet(top,top)) != top
| complement(join(zero,meet(top,top))) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(join(zero,meet(top,top))),complement(join(zero,meet(top,top)))) )],[refute_0_569,refute_0_570]) ).
cnf(refute_0_572,plain,
complement(join(zero,meet(top,top))) = complement(top),
inference(resolve,[$cnf( $equal(join(zero,meet(top,top)),top) )],[refute_0_568,refute_0_571]) ).
cnf(refute_0_573,plain,
( complement(join(zero,meet(top,top))) != complement(top)
| complement(top) != zero
| complement(join(zero,meet(top,top))) = zero ),
inference(subst,[],[refute_0_41:[bind(X,$fot(complement(join(zero,meet(top,top))))),bind(Y,$fot(complement(top))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_574,plain,
( complement(top) != zero
| complement(join(zero,meet(top,top))) = zero ),
inference(resolve,[$cnf( $equal(complement(join(zero,meet(top,top))),complement(top)) )],[refute_0_572,refute_0_573]) ).
cnf(refute_0_575,plain,
complement(join(zero,meet(top,top))) = zero,
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_49,refute_0_574]) ).
cnf(refute_0_576,plain,
( complement(join(zero,meet(top,top))) != zero
| meet(top,join(zero,zero)) != complement(join(zero,meet(top,top)))
| meet(top,join(zero,zero)) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,join(zero,zero)),complement(join(zero,meet(top,top)))) ),[1],$fot(zero)]]) ).
cnf(refute_0_577,plain,
( meet(top,join(zero,zero)) != complement(join(zero,meet(top,top)))
| meet(top,join(zero,zero)) = zero ),
inference(resolve,[$cnf( $equal(complement(join(zero,meet(top,top))),zero) )],[refute_0_575,refute_0_576]) ).
cnf(refute_0_578,plain,
meet(top,join(zero,zero)) = zero,
inference(resolve,[$cnf( $equal(meet(top,join(zero,zero)),complement(join(zero,meet(top,top)))) )],[refute_0_550,refute_0_577]) ).
cnf(refute_0_579,plain,
( meet(top,join(zero,zero)) != zero
| top != join(meet(top,join(zero,zero)),complement(join(complement(top),join(zero,zero))))
| top = join(zero,complement(join(complement(top),join(zero,zero)))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(meet(top,join(zero,zero)),complement(join(complement(top),join(zero,zero))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_580,plain,
( top != join(meet(top,join(zero,zero)),complement(join(complement(top),join(zero,zero))))
| top = join(zero,complement(join(complement(top),join(zero,zero)))) ),
inference(resolve,[$cnf( $equal(meet(top,join(zero,zero)),zero) )],[refute_0_578,refute_0_579]) ).
cnf(refute_0_581,plain,
top = join(zero,complement(join(complement(top),join(zero,zero)))),
inference(resolve,[$cnf( $equal(top,join(meet(top,join(zero,zero)),complement(join(complement(top),join(zero,zero))))) )],[refute_0_546,refute_0_580]) ).
cnf(refute_0_582,plain,
join(complement(top),join(zero,zero)) = join(complement(top),join(zero,zero)),
introduced(tautology,[refl,[$fot(join(complement(top),join(zero,zero)))]]) ).
cnf(refute_0_583,plain,
( complement(top) != zero
| join(complement(top),join(zero,zero)) != join(complement(top),join(zero,zero))
| join(complement(top),join(zero,zero)) = join(zero,join(zero,zero)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),join(zero,zero)),join(complement(top),join(zero,zero))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_584,plain,
( complement(top) != zero
| join(complement(top),join(zero,zero)) = join(zero,join(zero,zero)) ),
inference(resolve,[$cnf( $equal(join(complement(top),join(zero,zero)),join(complement(top),join(zero,zero))) )],[refute_0_582,refute_0_583]) ).
cnf(refute_0_585,plain,
join(complement(top),join(zero,zero)) = join(zero,join(zero,zero)),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_49,refute_0_584]) ).
cnf(refute_0_586,plain,
complement(join(complement(top),join(zero,zero))) = complement(join(complement(top),join(zero,zero))),
introduced(tautology,[refl,[$fot(complement(join(complement(top),join(zero,zero))))]]) ).
cnf(refute_0_587,plain,
( complement(join(complement(top),join(zero,zero))) != complement(join(complement(top),join(zero,zero)))
| join(complement(top),join(zero,zero)) != join(zero,join(zero,zero))
| complement(join(complement(top),join(zero,zero))) = complement(join(zero,join(zero,zero))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(top),join(zero,zero))),complement(join(complement(top),join(zero,zero)))) ),[1,0],$fot(join(zero,join(zero,zero)))]]) ).
cnf(refute_0_588,plain,
( join(complement(top),join(zero,zero)) != join(zero,join(zero,zero))
| complement(join(complement(top),join(zero,zero))) = complement(join(zero,join(zero,zero))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(top),join(zero,zero))),complement(join(complement(top),join(zero,zero)))) )],[refute_0_586,refute_0_587]) ).
cnf(refute_0_589,plain,
complement(join(complement(top),join(zero,zero))) = complement(join(zero,join(zero,zero))),
inference(resolve,[$cnf( $equal(join(complement(top),join(zero,zero)),join(zero,join(zero,zero))) )],[refute_0_585,refute_0_588]) ).
cnf(refute_0_590,plain,
join(zero,complement(join(complement(top),join(zero,zero)))) = join(zero,complement(join(complement(top),join(zero,zero)))),
introduced(tautology,[refl,[$fot(join(zero,complement(join(complement(top),join(zero,zero)))))]]) ).
cnf(refute_0_591,plain,
( complement(join(complement(top),join(zero,zero))) != complement(join(zero,join(zero,zero)))
| join(zero,complement(join(complement(top),join(zero,zero)))) != join(zero,complement(join(complement(top),join(zero,zero))))
| join(zero,complement(join(complement(top),join(zero,zero)))) = join(zero,complement(join(zero,join(zero,zero)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,complement(join(complement(top),join(zero,zero)))),join(zero,complement(join(complement(top),join(zero,zero))))) ),[1,1],$fot(complement(join(zero,join(zero,zero))))]]) ).
cnf(refute_0_592,plain,
( complement(join(complement(top),join(zero,zero))) != complement(join(zero,join(zero,zero)))
| join(zero,complement(join(complement(top),join(zero,zero)))) = join(zero,complement(join(zero,join(zero,zero)))) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(complement(top),join(zero,zero)))),join(zero,complement(join(complement(top),join(zero,zero))))) )],[refute_0_590,refute_0_591]) ).
cnf(refute_0_593,plain,
join(zero,complement(join(complement(top),join(zero,zero)))) = join(zero,complement(join(zero,join(zero,zero)))),
inference(resolve,[$cnf( $equal(complement(join(complement(top),join(zero,zero))),complement(join(zero,join(zero,zero)))) )],[refute_0_589,refute_0_592]) ).
cnf(refute_0_594,plain,
( join(zero,complement(join(complement(top),join(zero,zero)))) != join(zero,complement(join(zero,join(zero,zero))))
| top != join(zero,complement(join(complement(top),join(zero,zero))))
| top = join(zero,complement(join(zero,join(zero,zero)))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(zero,complement(join(complement(top),join(zero,zero))))) ),[1],$fot(join(zero,complement(join(zero,join(zero,zero)))))]]) ).
cnf(refute_0_595,plain,
( top != join(zero,complement(join(complement(top),join(zero,zero))))
| top = join(zero,complement(join(zero,join(zero,zero)))) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(complement(top),join(zero,zero)))),join(zero,complement(join(zero,join(zero,zero))))) )],[refute_0_593,refute_0_594]) ).
cnf(refute_0_596,plain,
top = join(zero,complement(join(zero,join(zero,zero)))),
inference(resolve,[$cnf( $equal(top,join(zero,complement(join(complement(top),join(zero,zero))))) )],[refute_0_581,refute_0_595]) ).
cnf(refute_0_597,plain,
( top != join(zero,complement(join(zero,join(zero,zero))))
| join(zero,complement(join(zero,join(zero,zero)))) = top ),
inference(subst,[],[refute_0_5:[bind(X,$fot(top)),bind(Y,$fot(join(zero,complement(join(zero,join(zero,zero))))))]]) ).
cnf(refute_0_598,plain,
join(zero,complement(join(zero,join(zero,zero)))) = top,
inference(resolve,[$cnf( $equal(top,join(zero,complement(join(zero,join(zero,zero))))) )],[refute_0_596,refute_0_597]) ).
cnf(refute_0_599,plain,
( join(zero,complement(join(zero,join(zero,zero)))) != top
| top != join(meet(top,complement(join(zero,join(zero,zero)))),complement(join(zero,complement(join(zero,join(zero,zero))))))
| top = join(meet(top,complement(join(zero,join(zero,zero)))),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(meet(top,complement(join(zero,join(zero,zero)))),complement(join(zero,complement(join(zero,join(zero,zero))))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_0_600,plain,
( top != join(meet(top,complement(join(zero,join(zero,zero)))),complement(join(zero,complement(join(zero,join(zero,zero))))))
| top = join(meet(top,complement(join(zero,join(zero,zero)))),complement(top)) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(zero,join(zero,zero)))),top) )],[refute_0_598,refute_0_599]) ).
cnf(refute_0_601,plain,
top = join(meet(top,complement(join(zero,join(zero,zero)))),complement(top)),
inference(resolve,[$cnf( $equal(top,join(meet(top,complement(join(zero,join(zero,zero)))),complement(join(zero,complement(join(zero,join(zero,zero))))))) )],[refute_0_545,refute_0_600]) ).
cnf(refute_0_602,plain,
join(complement(top),meet(top,complement(join(zero,join(zero,zero))))) = join(complement(top),meet(top,complement(join(zero,join(zero,zero))))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(top,complement(join(zero,join(zero,zero))))))]]) ).
cnf(refute_0_603,plain,
( complement(top) != zero
| join(complement(top),meet(top,complement(join(zero,join(zero,zero))))) != join(complement(top),meet(top,complement(join(zero,join(zero,zero)))))
| join(complement(top),meet(top,complement(join(zero,join(zero,zero))))) = join(zero,meet(top,complement(join(zero,join(zero,zero))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(top,complement(join(zero,join(zero,zero))))),join(complement(top),meet(top,complement(join(zero,join(zero,zero)))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_604,plain,
( complement(top) != zero
| join(complement(top),meet(top,complement(join(zero,join(zero,zero))))) = join(zero,meet(top,complement(join(zero,join(zero,zero))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(top,complement(join(zero,join(zero,zero))))),join(complement(top),meet(top,complement(join(zero,join(zero,zero)))))) )],[refute_0_602,refute_0_603]) ).
cnf(refute_0_605,plain,
join(complement(top),meet(top,complement(join(zero,join(zero,zero))))) = join(zero,meet(top,complement(join(zero,join(zero,zero))))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_49,refute_0_604]) ).
cnf(refute_0_606,plain,
join(meet(top,complement(join(zero,join(zero,zero)))),complement(top)) = join(complement(top),meet(top,complement(join(zero,join(zero,zero))))),
inference(subst,[],[refute_0_7:[bind(X0,$fot(complement(top))),bind(X1,$fot(meet(top,complement(join(zero,join(zero,zero))))))]]) ).
cnf(refute_0_607,plain,
( join(complement(top),meet(top,complement(join(zero,join(zero,zero))))) != join(zero,meet(top,complement(join(zero,join(zero,zero)))))
| join(meet(top,complement(join(zero,join(zero,zero)))),complement(top)) != join(complement(top),meet(top,complement(join(zero,join(zero,zero)))))
| join(meet(top,complement(join(zero,join(zero,zero)))),complement(top)) = join(zero,meet(top,complement(join(zero,join(zero,zero))))) ),
inference(subst,[],[refute_0_41:[bind(X,$fot(join(meet(top,complement(join(zero,join(zero,zero)))),complement(top)))),bind(Y,$fot(join(complement(top),meet(top,complement(join(zero,join(zero,zero))))))),bind(Z,$fot(join(zero,meet(top,complement(join(zero,join(zero,zero)))))))]]) ).
cnf(refute_0_608,plain,
( join(complement(top),meet(top,complement(join(zero,join(zero,zero))))) != join(zero,meet(top,complement(join(zero,join(zero,zero)))))
| join(meet(top,complement(join(zero,join(zero,zero)))),complement(top)) = join(zero,meet(top,complement(join(zero,join(zero,zero))))) ),
inference(resolve,[$cnf( $equal(join(meet(top,complement(join(zero,join(zero,zero)))),complement(top)),join(complement(top),meet(top,complement(join(zero,join(zero,zero)))))) )],[refute_0_606,refute_0_607]) ).
cnf(refute_0_609,plain,
join(meet(top,complement(join(zero,join(zero,zero)))),complement(top)) = join(zero,meet(top,complement(join(zero,join(zero,zero))))),
inference(resolve,[$cnf( $equal(join(complement(top),meet(top,complement(join(zero,join(zero,zero))))),join(zero,meet(top,complement(join(zero,join(zero,zero)))))) )],[refute_0_605,refute_0_608]) ).
cnf(refute_0_610,plain,
( join(meet(top,complement(join(zero,join(zero,zero)))),complement(top)) != join(zero,meet(top,complement(join(zero,join(zero,zero)))))
| top != join(meet(top,complement(join(zero,join(zero,zero)))),complement(top))
| top = join(zero,meet(top,complement(join(zero,join(zero,zero))))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(meet(top,complement(join(zero,join(zero,zero)))),complement(top))) ),[1],$fot(join(zero,meet(top,complement(join(zero,join(zero,zero))))))]]) ).
cnf(refute_0_611,plain,
( top != join(meet(top,complement(join(zero,join(zero,zero)))),complement(top))
| top = join(zero,meet(top,complement(join(zero,join(zero,zero))))) ),
inference(resolve,[$cnf( $equal(join(meet(top,complement(join(zero,join(zero,zero)))),complement(top)),join(zero,meet(top,complement(join(zero,join(zero,zero)))))) )],[refute_0_609,refute_0_610]) ).
cnf(refute_0_612,plain,
top = join(zero,meet(top,complement(join(zero,join(zero,zero))))),
inference(resolve,[$cnf( $equal(top,join(meet(top,complement(join(zero,join(zero,zero)))),complement(top))) )],[refute_0_601,refute_0_611]) ).
cnf(refute_0_613,plain,
( top != join(zero,meet(top,complement(join(zero,join(zero,zero)))))
| join(zero,meet(top,complement(join(zero,join(zero,zero))))) = top ),
inference(subst,[],[refute_0_5:[bind(X,$fot(top)),bind(Y,$fot(join(zero,meet(top,complement(join(zero,join(zero,zero)))))))]]) ).
cnf(refute_0_614,plain,
join(zero,meet(top,complement(join(zero,join(zero,zero))))) = top,
inference(resolve,[$cnf( $equal(top,join(zero,meet(top,complement(join(zero,join(zero,zero)))))) )],[refute_0_612,refute_0_613]) ).
cnf(refute_0_615,plain,
( join(zero,meet(top,complement(join(zero,join(zero,zero))))) != top
| top != join(meet(top,meet(top,complement(join(zero,join(zero,zero))))),complement(join(zero,meet(top,complement(join(zero,join(zero,zero)))))))
| top = join(meet(top,meet(top,complement(join(zero,join(zero,zero))))),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(meet(top,meet(top,complement(join(zero,join(zero,zero))))),complement(join(zero,meet(top,complement(join(zero,join(zero,zero)))))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_0_616,plain,
( top != join(meet(top,meet(top,complement(join(zero,join(zero,zero))))),complement(join(zero,meet(top,complement(join(zero,join(zero,zero)))))))
| top = join(meet(top,meet(top,complement(join(zero,join(zero,zero))))),complement(top)) ),
inference(resolve,[$cnf( $equal(join(zero,meet(top,complement(join(zero,join(zero,zero))))),top) )],[refute_0_614,refute_0_615]) ).
cnf(refute_0_617,plain,
top = join(meet(top,meet(top,complement(join(zero,join(zero,zero))))),complement(top)),
inference(resolve,[$cnf( $equal(top,join(meet(top,meet(top,complement(join(zero,join(zero,zero))))),complement(join(zero,meet(top,complement(join(zero,join(zero,zero)))))))) )],[refute_0_544,refute_0_616]) ).
cnf(refute_0_618,plain,
join(complement(top),meet(top,meet(top,complement(join(zero,join(zero,zero)))))) = join(complement(top),meet(top,meet(top,complement(join(zero,join(zero,zero)))))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(top,meet(top,complement(join(zero,join(zero,zero)))))))]]) ).
cnf(refute_0_619,plain,
( complement(top) != zero
| join(complement(top),meet(top,meet(top,complement(join(zero,join(zero,zero)))))) != join(complement(top),meet(top,meet(top,complement(join(zero,join(zero,zero))))))
| join(complement(top),meet(top,meet(top,complement(join(zero,join(zero,zero)))))) = join(zero,meet(top,meet(top,complement(join(zero,join(zero,zero)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(top,meet(top,complement(join(zero,join(zero,zero)))))),join(complement(top),meet(top,meet(top,complement(join(zero,join(zero,zero))))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_620,plain,
( complement(top) != zero
| join(complement(top),meet(top,meet(top,complement(join(zero,join(zero,zero)))))) = join(zero,meet(top,meet(top,complement(join(zero,join(zero,zero)))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(top,meet(top,complement(join(zero,join(zero,zero)))))),join(complement(top),meet(top,meet(top,complement(join(zero,join(zero,zero))))))) )],[refute_0_618,refute_0_619]) ).
cnf(refute_0_621,plain,
join(complement(top),meet(top,meet(top,complement(join(zero,join(zero,zero)))))) = join(zero,meet(top,meet(top,complement(join(zero,join(zero,zero)))))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_49,refute_0_620]) ).
cnf(refute_0_622,plain,
join(meet(top,meet(top,complement(join(zero,join(zero,zero))))),complement(top)) = join(complement(top),meet(top,meet(top,complement(join(zero,join(zero,zero)))))),
inference(subst,[],[refute_0_7:[bind(X0,$fot(complement(top))),bind(X1,$fot(meet(top,meet(top,complement(join(zero,join(zero,zero)))))))]]) ).
cnf(refute_0_623,plain,
( join(complement(top),meet(top,meet(top,complement(join(zero,join(zero,zero)))))) != join(zero,meet(top,meet(top,complement(join(zero,join(zero,zero))))))
| join(meet(top,meet(top,complement(join(zero,join(zero,zero))))),complement(top)) != join(complement(top),meet(top,meet(top,complement(join(zero,join(zero,zero))))))
| join(meet(top,meet(top,complement(join(zero,join(zero,zero))))),complement(top)) = join(zero,meet(top,meet(top,complement(join(zero,join(zero,zero)))))) ),
inference(subst,[],[refute_0_41:[bind(X,$fot(join(meet(top,meet(top,complement(join(zero,join(zero,zero))))),complement(top)))),bind(Y,$fot(join(complement(top),meet(top,meet(top,complement(join(zero,join(zero,zero)))))))),bind(Z,$fot(join(zero,meet(top,meet(top,complement(join(zero,join(zero,zero))))))))]]) ).
cnf(refute_0_624,plain,
( join(complement(top),meet(top,meet(top,complement(join(zero,join(zero,zero)))))) != join(zero,meet(top,meet(top,complement(join(zero,join(zero,zero))))))
| join(meet(top,meet(top,complement(join(zero,join(zero,zero))))),complement(top)) = join(zero,meet(top,meet(top,complement(join(zero,join(zero,zero)))))) ),
inference(resolve,[$cnf( $equal(join(meet(top,meet(top,complement(join(zero,join(zero,zero))))),complement(top)),join(complement(top),meet(top,meet(top,complement(join(zero,join(zero,zero))))))) )],[refute_0_622,refute_0_623]) ).
cnf(refute_0_625,plain,
join(meet(top,meet(top,complement(join(zero,join(zero,zero))))),complement(top)) = join(zero,meet(top,meet(top,complement(join(zero,join(zero,zero)))))),
inference(resolve,[$cnf( $equal(join(complement(top),meet(top,meet(top,complement(join(zero,join(zero,zero)))))),join(zero,meet(top,meet(top,complement(join(zero,join(zero,zero))))))) )],[refute_0_621,refute_0_624]) ).
cnf(refute_0_626,plain,
( join(meet(top,meet(top,complement(join(zero,join(zero,zero))))),complement(top)) != join(zero,meet(top,meet(top,complement(join(zero,join(zero,zero))))))
| top != join(meet(top,meet(top,complement(join(zero,join(zero,zero))))),complement(top))
| top = join(zero,meet(top,meet(top,complement(join(zero,join(zero,zero)))))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(meet(top,meet(top,complement(join(zero,join(zero,zero))))),complement(top))) ),[1],$fot(join(zero,meet(top,meet(top,complement(join(zero,join(zero,zero)))))))]]) ).
cnf(refute_0_627,plain,
( top != join(meet(top,meet(top,complement(join(zero,join(zero,zero))))),complement(top))
| top = join(zero,meet(top,meet(top,complement(join(zero,join(zero,zero)))))) ),
inference(resolve,[$cnf( $equal(join(meet(top,meet(top,complement(join(zero,join(zero,zero))))),complement(top)),join(zero,meet(top,meet(top,complement(join(zero,join(zero,zero))))))) )],[refute_0_625,refute_0_626]) ).
cnf(refute_0_628,plain,
top = join(zero,meet(top,meet(top,complement(join(zero,join(zero,zero)))))),
inference(resolve,[$cnf( $equal(top,join(meet(top,meet(top,complement(join(zero,join(zero,zero))))),complement(top))) )],[refute_0_617,refute_0_627]) ).
cnf(refute_0_629,plain,
( top != join(zero,meet(top,meet(top,complement(join(zero,join(zero,zero))))))
| join(zero,meet(top,meet(top,complement(join(zero,join(zero,zero)))))) = top ),
inference(subst,[],[refute_0_5:[bind(X,$fot(top)),bind(Y,$fot(join(zero,meet(top,meet(top,complement(join(zero,join(zero,zero))))))))]]) ).
cnf(refute_0_630,plain,
join(zero,meet(top,meet(top,complement(join(zero,join(zero,zero)))))) = top,
inference(resolve,[$cnf( $equal(top,join(zero,meet(top,meet(top,complement(join(zero,join(zero,zero))))))) )],[refute_0_628,refute_0_629]) ).
cnf(refute_0_631,plain,
( join(zero,meet(top,meet(top,complement(join(zero,join(zero,zero)))))) != top
| meet(top,complement(join(zero,join(zero,zero)))) != join(zero,meet(meet(top,complement(join(zero,join(zero,zero)))),join(zero,meet(top,meet(top,complement(join(zero,join(zero,zero))))))))
| meet(top,complement(join(zero,join(zero,zero)))) = join(zero,meet(meet(top,complement(join(zero,join(zero,zero)))),top)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,complement(join(zero,join(zero,zero)))),join(zero,meet(meet(top,complement(join(zero,join(zero,zero)))),join(zero,meet(top,meet(top,complement(join(zero,join(zero,zero))))))))) ),[1,1,1],$fot(top)]]) ).
cnf(refute_0_632,plain,
( meet(top,complement(join(zero,join(zero,zero)))) != join(zero,meet(meet(top,complement(join(zero,join(zero,zero)))),join(zero,meet(top,meet(top,complement(join(zero,join(zero,zero))))))))
| meet(top,complement(join(zero,join(zero,zero)))) = join(zero,meet(meet(top,complement(join(zero,join(zero,zero)))),top)) ),
inference(resolve,[$cnf( $equal(join(zero,meet(top,meet(top,complement(join(zero,join(zero,zero)))))),top) )],[refute_0_630,refute_0_631]) ).
cnf(refute_0_633,plain,
meet(top,complement(join(zero,join(zero,zero)))) = join(zero,meet(meet(top,complement(join(zero,join(zero,zero)))),top)),
inference(resolve,[$cnf( $equal(meet(top,complement(join(zero,join(zero,zero)))),join(zero,meet(meet(top,complement(join(zero,join(zero,zero)))),join(zero,meet(top,meet(top,complement(join(zero,join(zero,zero))))))))) )],[refute_0_543,refute_0_632]) ).
cnf(refute_0_634,plain,
complement(join(zero,join(zero,zero))) = join(zero,meet(complement(join(zero,join(zero,zero))),join(zero,meet(top,complement(join(zero,join(zero,zero))))))),
inference(subst,[],[refute_0_202:[bind(X_29,$fot(complement(join(zero,join(zero,zero)))))]]) ).
cnf(refute_0_635,plain,
( complement(join(zero,join(zero,zero))) != join(zero,meet(complement(join(zero,join(zero,zero))),join(zero,meet(top,complement(join(zero,join(zero,zero)))))))
| join(zero,meet(top,complement(join(zero,join(zero,zero))))) != top
| complement(join(zero,join(zero,zero))) = join(zero,meet(complement(join(zero,join(zero,zero))),top)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(zero,join(zero,zero))),join(zero,meet(complement(join(zero,join(zero,zero))),join(zero,meet(top,complement(join(zero,join(zero,zero)))))))) ),[1,1,1],$fot(top)]]) ).
cnf(refute_0_636,plain,
( complement(join(zero,join(zero,zero))) != join(zero,meet(complement(join(zero,join(zero,zero))),join(zero,meet(top,complement(join(zero,join(zero,zero)))))))
| complement(join(zero,join(zero,zero))) = join(zero,meet(complement(join(zero,join(zero,zero))),top)) ),
inference(resolve,[$cnf( $equal(join(zero,meet(top,complement(join(zero,join(zero,zero))))),top) )],[refute_0_614,refute_0_635]) ).
cnf(refute_0_637,plain,
complement(join(zero,join(zero,zero))) = join(zero,meet(complement(join(zero,join(zero,zero))),top)),
inference(resolve,[$cnf( $equal(complement(join(zero,join(zero,zero))),join(zero,meet(complement(join(zero,join(zero,zero))),join(zero,meet(top,complement(join(zero,join(zero,zero)))))))) )],[refute_0_634,refute_0_636]) ).
cnf(refute_0_638,plain,
meet(complement(join(zero,join(zero,zero))),top) = meet(top,complement(join(zero,join(zero,zero)))),
inference(subst,[],[refute_0_264:[bind(X0,$fot(complement(join(zero,join(zero,zero)))))]]) ).
cnf(refute_0_639,plain,
join(zero,meet(complement(join(zero,join(zero,zero))),top)) = join(zero,meet(complement(join(zero,join(zero,zero))),top)),
introduced(tautology,[refl,[$fot(join(zero,meet(complement(join(zero,join(zero,zero))),top)))]]) ).
cnf(refute_0_640,plain,
( join(zero,meet(complement(join(zero,join(zero,zero))),top)) != join(zero,meet(complement(join(zero,join(zero,zero))),top))
| meet(complement(join(zero,join(zero,zero))),top) != meet(top,complement(join(zero,join(zero,zero))))
| join(zero,meet(complement(join(zero,join(zero,zero))),top)) = join(zero,meet(top,complement(join(zero,join(zero,zero))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(complement(join(zero,join(zero,zero))),top)),join(zero,meet(complement(join(zero,join(zero,zero))),top))) ),[1,1],$fot(meet(top,complement(join(zero,join(zero,zero)))))]]) ).
cnf(refute_0_641,plain,
( meet(complement(join(zero,join(zero,zero))),top) != meet(top,complement(join(zero,join(zero,zero))))
| join(zero,meet(complement(join(zero,join(zero,zero))),top)) = join(zero,meet(top,complement(join(zero,join(zero,zero))))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(join(zero,join(zero,zero))),top)),join(zero,meet(complement(join(zero,join(zero,zero))),top))) )],[refute_0_639,refute_0_640]) ).
cnf(refute_0_642,plain,
join(zero,meet(complement(join(zero,join(zero,zero))),top)) = join(zero,meet(top,complement(join(zero,join(zero,zero))))),
inference(resolve,[$cnf( $equal(meet(complement(join(zero,join(zero,zero))),top),meet(top,complement(join(zero,join(zero,zero))))) )],[refute_0_638,refute_0_641]) ).
cnf(refute_0_643,plain,
( join(zero,meet(complement(join(zero,join(zero,zero))),top)) != join(zero,meet(top,complement(join(zero,join(zero,zero)))))
| join(zero,meet(top,complement(join(zero,join(zero,zero))))) != top
| join(zero,meet(complement(join(zero,join(zero,zero))),top)) = top ),
inference(subst,[],[refute_0_41:[bind(X,$fot(join(zero,meet(complement(join(zero,join(zero,zero))),top)))),bind(Y,$fot(join(zero,meet(top,complement(join(zero,join(zero,zero))))))),bind(Z,$fot(top))]]) ).
cnf(refute_0_644,plain,
( join(zero,meet(top,complement(join(zero,join(zero,zero))))) != top
| join(zero,meet(complement(join(zero,join(zero,zero))),top)) = top ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(join(zero,join(zero,zero))),top)),join(zero,meet(top,complement(join(zero,join(zero,zero)))))) )],[refute_0_642,refute_0_643]) ).
cnf(refute_0_645,plain,
join(zero,meet(complement(join(zero,join(zero,zero))),top)) = top,
inference(resolve,[$cnf( $equal(join(zero,meet(top,complement(join(zero,join(zero,zero))))),top) )],[refute_0_614,refute_0_644]) ).
cnf(refute_0_646,plain,
( complement(join(zero,join(zero,zero))) != join(zero,meet(complement(join(zero,join(zero,zero))),top))
| join(zero,meet(complement(join(zero,join(zero,zero))),top)) != top
| complement(join(zero,join(zero,zero))) = top ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(join(zero,join(zero,zero))),top) ),[0],$fot(join(zero,meet(complement(join(zero,join(zero,zero))),top)))]]) ).
cnf(refute_0_647,plain,
( complement(join(zero,join(zero,zero))) != join(zero,meet(complement(join(zero,join(zero,zero))),top))
| complement(join(zero,join(zero,zero))) = top ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(join(zero,join(zero,zero))),top)),top) )],[refute_0_645,refute_0_646]) ).
cnf(refute_0_648,plain,
complement(join(zero,join(zero,zero))) = top,
inference(resolve,[$cnf( $equal(complement(join(zero,join(zero,zero))),join(zero,meet(complement(join(zero,join(zero,zero))),top))) )],[refute_0_637,refute_0_647]) ).
cnf(refute_0_649,plain,
meet(top,complement(join(zero,join(zero,zero)))) = meet(top,complement(join(zero,join(zero,zero)))),
introduced(tautology,[refl,[$fot(meet(top,complement(join(zero,join(zero,zero)))))]]) ).
cnf(refute_0_650,plain,
( complement(join(zero,join(zero,zero))) != top
| meet(top,complement(join(zero,join(zero,zero)))) != meet(top,complement(join(zero,join(zero,zero))))
| meet(top,complement(join(zero,join(zero,zero)))) = meet(top,top) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,complement(join(zero,join(zero,zero)))),meet(top,complement(join(zero,join(zero,zero))))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_651,plain,
( complement(join(zero,join(zero,zero))) != top
| meet(top,complement(join(zero,join(zero,zero)))) = meet(top,top) ),
inference(resolve,[$cnf( $equal(meet(top,complement(join(zero,join(zero,zero)))),meet(top,complement(join(zero,join(zero,zero))))) )],[refute_0_649,refute_0_650]) ).
cnf(refute_0_652,plain,
meet(top,complement(join(zero,join(zero,zero)))) = meet(top,top),
inference(resolve,[$cnf( $equal(complement(join(zero,join(zero,zero))),top) )],[refute_0_648,refute_0_651]) ).
cnf(refute_0_653,plain,
( meet(top,complement(join(zero,join(zero,zero)))) != join(zero,meet(meet(top,complement(join(zero,join(zero,zero)))),top))
| meet(top,complement(join(zero,join(zero,zero)))) != meet(top,top)
| meet(top,top) = join(zero,meet(meet(top,complement(join(zero,join(zero,zero)))),top)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,complement(join(zero,join(zero,zero)))),join(zero,meet(meet(top,complement(join(zero,join(zero,zero)))),top))) ),[0],$fot(meet(top,top))]]) ).
cnf(refute_0_654,plain,
( meet(top,complement(join(zero,join(zero,zero)))) != join(zero,meet(meet(top,complement(join(zero,join(zero,zero)))),top))
| meet(top,top) = join(zero,meet(meet(top,complement(join(zero,join(zero,zero)))),top)) ),
inference(resolve,[$cnf( $equal(meet(top,complement(join(zero,join(zero,zero)))),meet(top,top)) )],[refute_0_652,refute_0_653]) ).
cnf(refute_0_655,plain,
meet(top,meet(top,complement(join(zero,join(zero,zero))))) = meet(top,meet(top,complement(join(zero,join(zero,zero))))),
introduced(tautology,[refl,[$fot(meet(top,meet(top,complement(join(zero,join(zero,zero))))))]]) ).
cnf(refute_0_656,plain,
( meet(top,complement(join(zero,join(zero,zero)))) != meet(top,top)
| meet(top,meet(top,complement(join(zero,join(zero,zero))))) != meet(top,meet(top,complement(join(zero,join(zero,zero)))))
| meet(top,meet(top,complement(join(zero,join(zero,zero))))) = meet(top,meet(top,top)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,meet(top,complement(join(zero,join(zero,zero))))),meet(top,meet(top,complement(join(zero,join(zero,zero)))))) ),[1,1],$fot(meet(top,top))]]) ).
cnf(refute_0_657,plain,
( meet(top,complement(join(zero,join(zero,zero)))) != meet(top,top)
| meet(top,meet(top,complement(join(zero,join(zero,zero))))) = meet(top,meet(top,top)) ),
inference(resolve,[$cnf( $equal(meet(top,meet(top,complement(join(zero,join(zero,zero))))),meet(top,meet(top,complement(join(zero,join(zero,zero)))))) )],[refute_0_655,refute_0_656]) ).
cnf(refute_0_658,plain,
meet(top,meet(top,complement(join(zero,join(zero,zero))))) = meet(top,meet(top,top)),
inference(resolve,[$cnf( $equal(meet(top,complement(join(zero,join(zero,zero)))),meet(top,top)) )],[refute_0_652,refute_0_657]) ).
cnf(refute_0_659,plain,
meet(meet(top,complement(join(zero,join(zero,zero)))),top) = meet(top,meet(top,complement(join(zero,join(zero,zero))))),
inference(subst,[],[refute_0_264:[bind(X0,$fot(meet(top,complement(join(zero,join(zero,zero))))))]]) ).
cnf(refute_0_660,plain,
( meet(meet(top,complement(join(zero,join(zero,zero)))),top) != meet(top,meet(top,complement(join(zero,join(zero,zero)))))
| meet(top,meet(top,complement(join(zero,join(zero,zero))))) != meet(top,meet(top,top))
| meet(meet(top,complement(join(zero,join(zero,zero)))),top) = meet(top,meet(top,top)) ),
inference(subst,[],[refute_0_41:[bind(X,$fot(meet(meet(top,complement(join(zero,join(zero,zero)))),top))),bind(Y,$fot(meet(top,meet(top,complement(join(zero,join(zero,zero))))))),bind(Z,$fot(meet(top,meet(top,top))))]]) ).
cnf(refute_0_661,plain,
( meet(top,meet(top,complement(join(zero,join(zero,zero))))) != meet(top,meet(top,top))
| meet(meet(top,complement(join(zero,join(zero,zero)))),top) = meet(top,meet(top,top)) ),
inference(resolve,[$cnf( $equal(meet(meet(top,complement(join(zero,join(zero,zero)))),top),meet(top,meet(top,complement(join(zero,join(zero,zero)))))) )],[refute_0_659,refute_0_660]) ).
cnf(refute_0_662,plain,
meet(meet(top,complement(join(zero,join(zero,zero)))),top) = meet(top,meet(top,top)),
inference(resolve,[$cnf( $equal(meet(top,meet(top,complement(join(zero,join(zero,zero))))),meet(top,meet(top,top))) )],[refute_0_658,refute_0_661]) ).
cnf(refute_0_663,plain,
join(zero,meet(meet(top,complement(join(zero,join(zero,zero)))),top)) = join(zero,meet(meet(top,complement(join(zero,join(zero,zero)))),top)),
introduced(tautology,[refl,[$fot(join(zero,meet(meet(top,complement(join(zero,join(zero,zero)))),top)))]]) ).
cnf(refute_0_664,plain,
( join(zero,meet(meet(top,complement(join(zero,join(zero,zero)))),top)) != join(zero,meet(meet(top,complement(join(zero,join(zero,zero)))),top))
| meet(meet(top,complement(join(zero,join(zero,zero)))),top) != meet(top,meet(top,top))
| join(zero,meet(meet(top,complement(join(zero,join(zero,zero)))),top)) = join(zero,meet(top,meet(top,top))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(meet(top,complement(join(zero,join(zero,zero)))),top)),join(zero,meet(meet(top,complement(join(zero,join(zero,zero)))),top))) ),[1,1],$fot(meet(top,meet(top,top)))]]) ).
cnf(refute_0_665,plain,
( meet(meet(top,complement(join(zero,join(zero,zero)))),top) != meet(top,meet(top,top))
| join(zero,meet(meet(top,complement(join(zero,join(zero,zero)))),top)) = join(zero,meet(top,meet(top,top))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(meet(top,complement(join(zero,join(zero,zero)))),top)),join(zero,meet(meet(top,complement(join(zero,join(zero,zero)))),top))) )],[refute_0_663,refute_0_664]) ).
cnf(refute_0_666,plain,
join(zero,meet(meet(top,complement(join(zero,join(zero,zero)))),top)) = join(zero,meet(top,meet(top,top))),
inference(resolve,[$cnf( $equal(meet(meet(top,complement(join(zero,join(zero,zero)))),top),meet(top,meet(top,top))) )],[refute_0_662,refute_0_665]) ).
cnf(refute_0_667,plain,
( join(zero,meet(meet(top,complement(join(zero,join(zero,zero)))),top)) != join(zero,meet(top,meet(top,top)))
| meet(top,top) != join(zero,meet(meet(top,complement(join(zero,join(zero,zero)))),top))
| meet(top,top) = join(zero,meet(top,meet(top,top))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,top),join(zero,meet(meet(top,complement(join(zero,join(zero,zero)))),top))) ),[1],$fot(join(zero,meet(top,meet(top,top))))]]) ).
cnf(refute_0_668,plain,
( meet(top,top) != join(zero,meet(meet(top,complement(join(zero,join(zero,zero)))),top))
| meet(top,top) = join(zero,meet(top,meet(top,top))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(meet(top,complement(join(zero,join(zero,zero)))),top)),join(zero,meet(top,meet(top,top)))) )],[refute_0_666,refute_0_667]) ).
cnf(refute_0_669,plain,
( meet(top,complement(join(zero,join(zero,zero)))) != join(zero,meet(meet(top,complement(join(zero,join(zero,zero)))),top))
| meet(top,top) = join(zero,meet(top,meet(top,top))) ),
inference(resolve,[$cnf( $equal(meet(top,top),join(zero,meet(meet(top,complement(join(zero,join(zero,zero)))),top))) )],[refute_0_654,refute_0_668]) ).
cnf(refute_0_670,plain,
meet(top,top) = join(zero,meet(top,meet(top,top))),
inference(resolve,[$cnf( $equal(meet(top,complement(join(zero,join(zero,zero)))),join(zero,meet(meet(top,complement(join(zero,join(zero,zero)))),top))) )],[refute_0_633,refute_0_669]) ).
cnf(refute_0_671,plain,
( meet(top,top) != join(zero,meet(top,meet(top,top)))
| join(zero,meet(top,meet(top,top))) = meet(top,top) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(meet(top,top))),bind(Y,$fot(join(zero,meet(top,meet(top,top)))))]]) ).
cnf(refute_0_672,plain,
join(zero,meet(top,meet(top,top))) = meet(top,top),
inference(resolve,[$cnf( $equal(meet(top,top),join(zero,meet(top,meet(top,top)))) )],[refute_0_670,refute_0_671]) ).
cnf(refute_0_673,plain,
complement(complement(top)) = join(zero,meet(complement(complement(top)),join(zero,meet(top,complement(complement(top)))))),
inference(subst,[],[refute_0_202:[bind(X_29,$fot(complement(complement(top))))]]) ).
cnf(refute_0_674,plain,
( top != join(zero,meet(top,complement(complement(top))))
| join(zero,meet(top,complement(complement(top)))) = top ),
inference(subst,[],[refute_0_5:[bind(X,$fot(top)),bind(Y,$fot(join(zero,meet(top,complement(complement(top))))))]]) ).
cnf(refute_0_675,plain,
join(zero,meet(top,complement(complement(top)))) = top,
inference(resolve,[$cnf( $equal(top,join(zero,meet(top,complement(complement(top))))) )],[refute_0_523,refute_0_674]) ).
cnf(refute_0_676,plain,
( complement(complement(top)) != join(zero,meet(complement(complement(top)),join(zero,meet(top,complement(complement(top))))))
| join(zero,meet(top,complement(complement(top)))) != top
| complement(complement(top)) = join(zero,meet(complement(complement(top)),top)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(top)),join(zero,meet(complement(complement(top)),join(zero,meet(top,complement(complement(top))))))) ),[1,1,1],$fot(top)]]) ).
cnf(refute_0_677,plain,
( complement(complement(top)) != join(zero,meet(complement(complement(top)),join(zero,meet(top,complement(complement(top))))))
| complement(complement(top)) = join(zero,meet(complement(complement(top)),top)) ),
inference(resolve,[$cnf( $equal(join(zero,meet(top,complement(complement(top)))),top) )],[refute_0_675,refute_0_676]) ).
cnf(refute_0_678,plain,
complement(complement(top)) = join(zero,meet(complement(complement(top)),top)),
inference(resolve,[$cnf( $equal(complement(complement(top)),join(zero,meet(complement(complement(top)),join(zero,meet(top,complement(complement(top))))))) )],[refute_0_673,refute_0_677]) ).
cnf(refute_0_679,plain,
complement(complement(top)) = complement(complement(top)),
introduced(tautology,[refl,[$fot(complement(complement(top)))]]) ).
cnf(refute_0_680,plain,
( complement(complement(top)) != complement(complement(top))
| complement(top) != zero
| complement(complement(top)) = complement(zero) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(top)),complement(complement(top))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_681,plain,
( complement(top) != zero
| complement(complement(top)) = complement(zero) ),
inference(resolve,[$cnf( $equal(complement(complement(top)),complement(complement(top))) )],[refute_0_679,refute_0_680]) ).
cnf(refute_0_682,plain,
complement(complement(top)) = complement(zero),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_49,refute_0_681]) ).
cnf(refute_0_683,plain,
( complement(complement(top)) != complement(zero)
| complement(complement(top)) != join(zero,meet(complement(complement(top)),top))
| complement(zero) = join(zero,meet(complement(complement(top)),top)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(top)),join(zero,meet(complement(complement(top)),top))) ),[0],$fot(complement(zero))]]) ).
cnf(refute_0_684,plain,
( complement(complement(top)) != join(zero,meet(complement(complement(top)),top))
| complement(zero) = join(zero,meet(complement(complement(top)),top)) ),
inference(resolve,[$cnf( $equal(complement(complement(top)),complement(zero)) )],[refute_0_682,refute_0_683]) ).
cnf(refute_0_685,plain,
meet(top,complement(complement(top))) = meet(top,complement(complement(top))),
introduced(tautology,[refl,[$fot(meet(top,complement(complement(top))))]]) ).
cnf(refute_0_686,plain,
( complement(complement(top)) != complement(zero)
| meet(top,complement(complement(top))) != meet(top,complement(complement(top)))
| meet(top,complement(complement(top))) = meet(top,complement(zero)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,complement(complement(top))),meet(top,complement(complement(top)))) ),[1,1],$fot(complement(zero))]]) ).
cnf(refute_0_687,plain,
( complement(complement(top)) != complement(zero)
| meet(top,complement(complement(top))) = meet(top,complement(zero)) ),
inference(resolve,[$cnf( $equal(meet(top,complement(complement(top))),meet(top,complement(complement(top)))) )],[refute_0_685,refute_0_686]) ).
cnf(refute_0_688,plain,
meet(top,complement(complement(top))) = meet(top,complement(zero)),
inference(resolve,[$cnf( $equal(complement(complement(top)),complement(zero)) )],[refute_0_682,refute_0_687]) ).
cnf(refute_0_689,plain,
meet(complement(complement(top)),top) = meet(top,complement(complement(top))),
inference(subst,[],[refute_0_264:[bind(X0,$fot(complement(complement(top))))]]) ).
cnf(refute_0_690,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_0_41:[bind(X,$fot(meet(complement(complement(top)),top))),bind(Y,$fot(meet(top,complement(complement(top))))),bind(Z,$fot(meet(top,complement(zero))))]]) ).
cnf(refute_0_691,plain,
( meet(top,complement(complement(top))) != meet(top,complement(zero))
| meet(complement(complement(top)),top) = meet(top,complement(zero)) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(top)),top),meet(top,complement(complement(top)))) )],[refute_0_689,refute_0_690]) ).
cnf(refute_0_692,plain,
meet(complement(complement(top)),top) = meet(top,complement(zero)),
inference(resolve,[$cnf( $equal(meet(top,complement(complement(top))),meet(top,complement(zero))) )],[refute_0_688,refute_0_691]) ).
cnf(refute_0_693,plain,
join(zero,meet(complement(complement(top)),top)) = join(zero,meet(complement(complement(top)),top)),
introduced(tautology,[refl,[$fot(join(zero,meet(complement(complement(top)),top)))]]) ).
cnf(refute_0_694,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_0_695,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( $equal(join(zero,meet(complement(complement(top)),top)),join(zero,meet(complement(complement(top)),top))) )],[refute_0_693,refute_0_694]) ).
cnf(refute_0_696,plain,
join(zero,meet(complement(complement(top)),top)) = join(zero,meet(top,complement(zero))),
inference(resolve,[$cnf( $equal(meet(complement(complement(top)),top),meet(top,complement(zero))) )],[refute_0_692,refute_0_695]) ).
cnf(refute_0_697,plain,
( join(zero,meet(complement(complement(top)),top)) != join(zero,meet(top,complement(zero)))
| join(zero,meet(top,complement(zero))) != top
| join(zero,meet(complement(complement(top)),top)) = top ),
inference(subst,[],[refute_0_41:[bind(X,$fot(join(zero,meet(complement(complement(top)),top)))),bind(Y,$fot(join(zero,meet(top,complement(zero))))),bind(Z,$fot(top))]]) ).
cnf(refute_0_698,plain,
( join(zero,meet(top,complement(zero))) != top
| join(zero,meet(complement(complement(top)),top)) = top ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(complement(top)),top)),join(zero,meet(top,complement(zero)))) )],[refute_0_696,refute_0_697]) ).
cnf(refute_0_699,plain,
join(zero,meet(complement(complement(top)),top)) = top,
inference(resolve,[$cnf( $equal(join(zero,meet(top,complement(zero))),top) )],[refute_0_528,refute_0_698]) ).
cnf(refute_0_700,plain,
( complement(zero) != join(zero,meet(complement(complement(top)),top))
| join(zero,meet(complement(complement(top)),top)) != top
| complement(zero) = top ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(zero),top) ),[0],$fot(join(zero,meet(complement(complement(top)),top)))]]) ).
cnf(refute_0_701,plain,
( complement(zero) != join(zero,meet(complement(complement(top)),top))
| complement(zero) = top ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(complement(top)),top)),top) )],[refute_0_699,refute_0_700]) ).
cnf(refute_0_702,plain,
( complement(complement(top)) != join(zero,meet(complement(complement(top)),top))
| complement(zero) = top ),
inference(resolve,[$cnf( $equal(complement(zero),join(zero,meet(complement(complement(top)),top))) )],[refute_0_684,refute_0_701]) ).
cnf(refute_0_703,plain,
complement(zero) = top,
inference(resolve,[$cnf( $equal(complement(complement(top)),join(zero,meet(complement(complement(top)),top))) )],[refute_0_678,refute_0_702]) ).
cnf(refute_0_704,plain,
meet(top,complement(zero)) = meet(top,complement(zero)),
introduced(tautology,[refl,[$fot(meet(top,complement(zero)))]]) ).
cnf(refute_0_705,plain,
( complement(zero) != top
| meet(top,complement(zero)) != meet(top,complement(zero))
| meet(top,complement(zero)) = meet(top,top) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,complement(zero)),meet(top,complement(zero))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_706,plain,
( complement(zero) != top
| meet(top,complement(zero)) = meet(top,top) ),
inference(resolve,[$cnf( $equal(meet(top,complement(zero)),meet(top,complement(zero))) )],[refute_0_704,refute_0_705]) ).
cnf(refute_0_707,plain,
meet(top,complement(zero)) = meet(top,top),
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_703,refute_0_706]) ).
cnf(refute_0_708,plain,
meet(top,meet(top,complement(zero))) = meet(top,meet(top,complement(zero))),
introduced(tautology,[refl,[$fot(meet(top,meet(top,complement(zero))))]]) ).
cnf(refute_0_709,plain,
( meet(top,complement(zero)) != meet(top,top)
| meet(top,meet(top,complement(zero))) != meet(top,meet(top,complement(zero)))
| meet(top,meet(top,complement(zero))) = meet(top,meet(top,top)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,meet(top,complement(zero))),meet(top,meet(top,complement(zero)))) ),[1,1],$fot(meet(top,top))]]) ).
cnf(refute_0_710,plain,
( meet(top,complement(zero)) != meet(top,top)
| meet(top,meet(top,complement(zero))) = meet(top,meet(top,top)) ),
inference(resolve,[$cnf( $equal(meet(top,meet(top,complement(zero))),meet(top,meet(top,complement(zero)))) )],[refute_0_708,refute_0_709]) ).
cnf(refute_0_711,plain,
meet(top,meet(top,complement(zero))) = meet(top,meet(top,top)),
inference(resolve,[$cnf( $equal(meet(top,complement(zero)),meet(top,top)) )],[refute_0_707,refute_0_710]) ).
cnf(refute_0_712,plain,
join(zero,meet(top,meet(top,complement(zero)))) = join(zero,meet(top,meet(top,complement(zero)))),
introduced(tautology,[refl,[$fot(join(zero,meet(top,meet(top,complement(zero)))))]]) ).
cnf(refute_0_713,plain,
( join(zero,meet(top,meet(top,complement(zero)))) != join(zero,meet(top,meet(top,complement(zero))))
| meet(top,meet(top,complement(zero))) != meet(top,meet(top,top))
| join(zero,meet(top,meet(top,complement(zero)))) = join(zero,meet(top,meet(top,top))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(top,meet(top,complement(zero)))),join(zero,meet(top,meet(top,complement(zero))))) ),[1,1],$fot(meet(top,meet(top,top)))]]) ).
cnf(refute_0_714,plain,
( meet(top,meet(top,complement(zero))) != meet(top,meet(top,top))
| join(zero,meet(top,meet(top,complement(zero)))) = join(zero,meet(top,meet(top,top))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(top,meet(top,complement(zero)))),join(zero,meet(top,meet(top,complement(zero))))) )],[refute_0_712,refute_0_713]) ).
cnf(refute_0_715,plain,
join(zero,meet(top,meet(top,complement(zero)))) = join(zero,meet(top,meet(top,top))),
inference(resolve,[$cnf( $equal(meet(top,meet(top,complement(zero))),meet(top,meet(top,top))) )],[refute_0_711,refute_0_714]) ).
cnf(refute_0_716,plain,
( join(zero,meet(top,meet(top,complement(zero)))) != join(zero,meet(top,meet(top,top)))
| join(zero,meet(top,meet(top,top))) != meet(top,top)
| join(zero,meet(top,meet(top,complement(zero)))) = meet(top,top) ),
inference(subst,[],[refute_0_41:[bind(X,$fot(join(zero,meet(top,meet(top,complement(zero)))))),bind(Y,$fot(join(zero,meet(top,meet(top,top))))),bind(Z,$fot(meet(top,top)))]]) ).
cnf(refute_0_717,plain,
( join(zero,meet(top,meet(top,top))) != meet(top,top)
| join(zero,meet(top,meet(top,complement(zero)))) = meet(top,top) ),
inference(resolve,[$cnf( $equal(join(zero,meet(top,meet(top,complement(zero)))),join(zero,meet(top,meet(top,top)))) )],[refute_0_715,refute_0_716]) ).
cnf(refute_0_718,plain,
join(zero,meet(top,meet(top,complement(zero)))) = meet(top,top),
inference(resolve,[$cnf( $equal(join(zero,meet(top,meet(top,top))),meet(top,top)) )],[refute_0_672,refute_0_717]) ).
cnf(refute_0_719,plain,
( join(zero,meet(top,meet(top,complement(zero)))) != meet(top,top)
| top != join(zero,meet(top,meet(top,complement(zero))))
| top = meet(top,top) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(zero,meet(top,meet(top,complement(zero))))) ),[1],$fot(meet(top,top))]]) ).
cnf(refute_0_720,plain,
( top != join(zero,meet(top,meet(top,complement(zero))))
| top = meet(top,top) ),
inference(resolve,[$cnf( $equal(join(zero,meet(top,meet(top,complement(zero)))),meet(top,top)) )],[refute_0_718,refute_0_719]) ).
cnf(refute_0_721,plain,
top = meet(top,top),
inference(resolve,[$cnf( $equal(top,join(zero,meet(top,meet(top,complement(zero))))) )],[refute_0_542,refute_0_720]) ).
cnf(refute_0_722,plain,
( top != meet(top,top)
| meet(top,top) = top ),
inference(subst,[],[refute_0_5:[bind(X,$fot(top)),bind(Y,$fot(meet(top,top)))]]) ).
cnf(refute_0_723,plain,
meet(top,top) = top,
inference(resolve,[$cnf( $equal(top,meet(top,top)) )],[refute_0_721,refute_0_722]) ).
cnf(refute_0_724,plain,
join(meet(top,top),X_30) = join(meet(top,top),X_30),
introduced(tautology,[refl,[$fot(join(meet(top,top),X_30))]]) ).
cnf(refute_0_725,plain,
( join(meet(top,top),X_30) != join(meet(top,top),X_30)
| meet(top,top) != top
| join(meet(top,top),X_30) = join(top,X_30) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(top,top),X_30),join(meet(top,top),X_30)) ),[1,0],$fot(top)]]) ).
cnf(refute_0_726,plain,
( meet(top,top) != top
| join(meet(top,top),X_30) = join(top,X_30) ),
inference(resolve,[$cnf( $equal(join(meet(top,top),X_30),join(meet(top,top),X_30)) )],[refute_0_724,refute_0_725]) ).
cnf(refute_0_727,plain,
join(meet(top,top),X_30) = join(top,X_30),
inference(resolve,[$cnf( $equal(meet(top,top),top) )],[refute_0_723,refute_0_726]) ).
cnf(refute_0_728,plain,
complement(join(meet(top,top),X_30)) = complement(join(meet(top,top),X_30)),
introduced(tautology,[refl,[$fot(complement(join(meet(top,top),X_30)))]]) ).
cnf(refute_0_729,plain,
( complement(join(meet(top,top),X_30)) != complement(join(meet(top,top),X_30))
| join(meet(top,top),X_30) != join(top,X_30)
| complement(join(meet(top,top),X_30)) = complement(join(top,X_30)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(meet(top,top),X_30)),complement(join(meet(top,top),X_30))) ),[1,0],$fot(join(top,X_30))]]) ).
cnf(refute_0_730,plain,
( join(meet(top,top),X_30) != join(top,X_30)
| complement(join(meet(top,top),X_30)) = complement(join(top,X_30)) ),
inference(resolve,[$cnf( $equal(complement(join(meet(top,top),X_30)),complement(join(meet(top,top),X_30))) )],[refute_0_728,refute_0_729]) ).
cnf(refute_0_731,plain,
complement(join(meet(top,top),X_30)) = complement(join(top,X_30)),
inference(resolve,[$cnf( $equal(join(meet(top,top),X_30),join(top,X_30)) )],[refute_0_727,refute_0_730]) ).
cnf(refute_0_732,plain,
join(meet(join(zero,zero),X_30),complement(join(meet(top,top),X_30))) = join(meet(join(zero,zero),X_30),complement(join(meet(top,top),X_30))),
introduced(tautology,[refl,[$fot(join(meet(join(zero,zero),X_30),complement(join(meet(top,top),X_30))))]]) ).
cnf(refute_0_733,plain,
( complement(join(meet(top,top),X_30)) != complement(join(top,X_30))
| join(meet(join(zero,zero),X_30),complement(join(meet(top,top),X_30))) != join(meet(join(zero,zero),X_30),complement(join(meet(top,top),X_30)))
| join(meet(join(zero,zero),X_30),complement(join(meet(top,top),X_30))) = join(meet(join(zero,zero),X_30),complement(join(top,X_30))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(join(zero,zero),X_30),complement(join(meet(top,top),X_30))),join(meet(join(zero,zero),X_30),complement(join(meet(top,top),X_30)))) ),[1,1],$fot(complement(join(top,X_30)))]]) ).
cnf(refute_0_734,plain,
( complement(join(meet(top,top),X_30)) != complement(join(top,X_30))
| join(meet(join(zero,zero),X_30),complement(join(meet(top,top),X_30))) = join(meet(join(zero,zero),X_30),complement(join(top,X_30))) ),
inference(resolve,[$cnf( $equal(join(meet(join(zero,zero),X_30),complement(join(meet(top,top),X_30))),join(meet(join(zero,zero),X_30),complement(join(meet(top,top),X_30)))) )],[refute_0_732,refute_0_733]) ).
cnf(refute_0_735,plain,
join(meet(join(zero,zero),X_30),complement(join(meet(top,top),X_30))) = join(meet(join(zero,zero),X_30),complement(join(top,X_30))),
inference(resolve,[$cnf( $equal(complement(join(meet(top,top),X_30)),complement(join(top,X_30))) )],[refute_0_731,refute_0_734]) ).
cnf(refute_0_736,plain,
( join(meet(join(zero,zero),X_30),complement(join(meet(top,top),X_30))) != join(meet(join(zero,zero),X_30),complement(join(top,X_30)))
| join(meet(join(zero,zero),X_30),complement(join(top,X_30))) != join(complement(join(top,X_30)),meet(join(zero,zero),X_30))
| join(meet(join(zero,zero),X_30),complement(join(meet(top,top),X_30))) = join(complement(join(top,X_30)),meet(join(zero,zero),X_30)) ),
inference(subst,[],[refute_0_41:[bind(X,$fot(join(meet(join(zero,zero),X_30),complement(join(meet(top,top),X_30))))),bind(Y,$fot(join(meet(join(zero,zero),X_30),complement(join(top,X_30))))),bind(Z,$fot(join(complement(join(top,X_30)),meet(join(zero,zero),X_30))))]]) ).
cnf(refute_0_737,plain,
( join(meet(join(zero,zero),X_30),complement(join(top,X_30))) != join(complement(join(top,X_30)),meet(join(zero,zero),X_30))
| join(meet(join(zero,zero),X_30),complement(join(meet(top,top),X_30))) = join(complement(join(top,X_30)),meet(join(zero,zero),X_30)) ),
inference(resolve,[$cnf( $equal(join(meet(join(zero,zero),X_30),complement(join(meet(top,top),X_30))),join(meet(join(zero,zero),X_30),complement(join(top,X_30)))) )],[refute_0_735,refute_0_736]) ).
cnf(refute_0_738,plain,
join(meet(join(zero,zero),X_30),complement(join(meet(top,top),X_30))) = join(complement(join(top,X_30)),meet(join(zero,zero),X_30)),
inference(resolve,[$cnf( $equal(join(meet(join(zero,zero),X_30),complement(join(top,X_30))),join(complement(join(top,X_30)),meet(join(zero,zero),X_30))) )],[refute_0_521,refute_0_737]) ).
cnf(refute_0_739,plain,
( join(meet(join(zero,zero),X_30),complement(join(meet(top,top),X_30))) != join(complement(join(top,X_30)),meet(join(zero,zero),X_30))
| join(zero,zero) != join(meet(join(zero,zero),X_30),complement(join(meet(top,top),X_30)))
| join(zero,zero) = join(complement(join(top,X_30)),meet(join(zero,zero),X_30)) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,zero),join(meet(join(zero,zero),X_30),complement(join(meet(top,top),X_30)))) ),[1],$fot(join(complement(join(top,X_30)),meet(join(zero,zero),X_30)))]]) ).
cnf(refute_0_740,plain,
( join(zero,zero) != join(meet(join(zero,zero),X_30),complement(join(meet(top,top),X_30)))
| join(zero,zero) = join(complement(join(top,X_30)),meet(join(zero,zero),X_30)) ),
inference(resolve,[$cnf( $equal(join(meet(join(zero,zero),X_30),complement(join(meet(top,top),X_30))),join(complement(join(top,X_30)),meet(join(zero,zero),X_30))) )],[refute_0_738,refute_0_739]) ).
cnf(refute_0_741,plain,
join(zero,zero) = join(complement(join(top,X_30)),meet(join(zero,zero),X_30)),
inference(resolve,[$cnf( $equal(join(zero,zero),join(meet(join(zero,zero),X_30),complement(join(meet(top,top),X_30)))) )],[refute_0_520,refute_0_740]) ).
cnf(refute_0_742,plain,
join(zero,zero) = join(zero,meet(join(zero,zero),complement(complement(join(zero,zero))))),
inference(subst,[],[refute_0_91:[bind(X_29,$fot(join(zero,zero)))]]) ).
cnf(refute_0_743,plain,
( complement(join(zero,zero)) != meet(top,top)
| join(zero,zero) != join(zero,meet(join(zero,zero),complement(complement(join(zero,zero)))))
| join(zero,zero) = join(zero,meet(join(zero,zero),complement(meet(top,top)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,zero),join(zero,meet(join(zero,zero),complement(complement(join(zero,zero)))))) ),[1,1,1,0],$fot(meet(top,top))]]) ).
cnf(refute_0_744,plain,
( join(zero,zero) != join(zero,meet(join(zero,zero),complement(complement(join(zero,zero)))))
| join(zero,zero) = join(zero,meet(join(zero,zero),complement(meet(top,top)))) ),
inference(resolve,[$cnf( $equal(complement(join(zero,zero)),meet(top,top)) )],[refute_0_517,refute_0_743]) ).
cnf(refute_0_745,plain,
join(zero,zero) = join(zero,meet(join(zero,zero),complement(meet(top,top)))),
inference(resolve,[$cnf( $equal(join(zero,zero),join(zero,meet(join(zero,zero),complement(complement(join(zero,zero)))))) )],[refute_0_742,refute_0_744]) ).
cnf(refute_0_746,plain,
zero = join(meet(zero,join(zero,zero)),complement(join(complement(zero),join(zero,zero)))),
inference(subst,[],[refute_0_73:[bind(X0,$fot(zero)),bind(X1,$fot(join(zero,zero)))]]) ).
cnf(refute_0_747,plain,
top = join(complement(complement(top)),join(zero,meet(top,complement(top)))),
inference(subst,[],[refute_0_185:[bind(X_22,$fot(complement(top)))]]) ).
cnf(refute_0_748,plain,
zero = meet(top,complement(top)),
inference(subst,[],[refute_0_18:[bind(X0,$fot(top))]]) ).
cnf(refute_0_749,plain,
( zero != meet(top,complement(top))
| meet(top,complement(top)) = zero ),
inference(subst,[],[refute_0_5:[bind(X,$fot(zero)),bind(Y,$fot(meet(top,complement(top))))]]) ).
cnf(refute_0_750,plain,
meet(top,complement(top)) = zero,
inference(resolve,[$cnf( $equal(zero,meet(top,complement(top))) )],[refute_0_748,refute_0_749]) ).
cnf(refute_0_751,plain,
( meet(top,complement(top)) != zero
| top != join(complement(complement(top)),join(zero,meet(top,complement(top))))
| top = join(complement(complement(top)),join(zero,zero)) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(complement(top)),join(zero,meet(top,complement(top))))) ),[1,1,1],$fot(zero)]]) ).
cnf(refute_0_752,plain,
( top != join(complement(complement(top)),join(zero,meet(top,complement(top))))
| top = join(complement(complement(top)),join(zero,zero)) ),
inference(resolve,[$cnf( $equal(meet(top,complement(top)),zero) )],[refute_0_750,refute_0_751]) ).
cnf(refute_0_753,plain,
top = join(complement(complement(top)),join(zero,zero)),
inference(resolve,[$cnf( $equal(top,join(complement(complement(top)),join(zero,meet(top,complement(top))))) )],[refute_0_747,refute_0_752]) ).
cnf(refute_0_754,plain,
join(complement(complement(top)),join(zero,zero)) = join(complement(complement(top)),join(zero,zero)),
introduced(tautology,[refl,[$fot(join(complement(complement(top)),join(zero,zero)))]]) ).
cnf(refute_0_755,plain,
( complement(complement(top)) != complement(zero)
| join(complement(complement(top)),join(zero,zero)) != join(complement(complement(top)),join(zero,zero))
| join(complement(complement(top)),join(zero,zero)) = join(complement(zero),join(zero,zero)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(top)),join(zero,zero)),join(complement(complement(top)),join(zero,zero))) ),[1,0],$fot(complement(zero))]]) ).
cnf(refute_0_756,plain,
( complement(complement(top)) != complement(zero)
| join(complement(complement(top)),join(zero,zero)) = join(complement(zero),join(zero,zero)) ),
inference(resolve,[$cnf( $equal(join(complement(complement(top)),join(zero,zero)),join(complement(complement(top)),join(zero,zero))) )],[refute_0_754,refute_0_755]) ).
cnf(refute_0_757,plain,
join(complement(complement(top)),join(zero,zero)) = join(complement(zero),join(zero,zero)),
inference(resolve,[$cnf( $equal(complement(complement(top)),complement(zero)) )],[refute_0_682,refute_0_756]) ).
cnf(refute_0_758,plain,
( join(complement(complement(top)),join(zero,zero)) != join(complement(zero),join(zero,zero))
| top != join(complement(complement(top)),join(zero,zero))
| top = join(complement(zero),join(zero,zero)) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(complement(top)),join(zero,zero))) ),[1],$fot(join(complement(zero),join(zero,zero)))]]) ).
cnf(refute_0_759,plain,
( top != join(complement(complement(top)),join(zero,zero))
| top = join(complement(zero),join(zero,zero)) ),
inference(resolve,[$cnf( $equal(join(complement(complement(top)),join(zero,zero)),join(complement(zero),join(zero,zero))) )],[refute_0_757,refute_0_758]) ).
cnf(refute_0_760,plain,
top = join(complement(zero),join(zero,zero)),
inference(resolve,[$cnf( $equal(top,join(complement(complement(top)),join(zero,zero))) )],[refute_0_753,refute_0_759]) ).
cnf(refute_0_761,plain,
( top != join(complement(zero),join(zero,zero))
| join(complement(zero),join(zero,zero)) = top ),
inference(subst,[],[refute_0_5:[bind(X,$fot(top)),bind(Y,$fot(join(complement(zero),join(zero,zero))))]]) ).
cnf(refute_0_762,plain,
join(complement(zero),join(zero,zero)) = top,
inference(resolve,[$cnf( $equal(top,join(complement(zero),join(zero,zero))) )],[refute_0_760,refute_0_761]) ).
cnf(refute_0_763,plain,
( join(complement(zero),join(zero,zero)) != top
| zero != join(meet(zero,join(zero,zero)),complement(join(complement(zero),join(zero,zero))))
| zero = join(meet(zero,join(zero,zero)),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(zero,join(meet(zero,join(zero,zero)),complement(join(complement(zero),join(zero,zero))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_0_764,plain,
( zero != join(meet(zero,join(zero,zero)),complement(join(complement(zero),join(zero,zero))))
| zero = join(meet(zero,join(zero,zero)),complement(top)) ),
inference(resolve,[$cnf( $equal(join(complement(zero),join(zero,zero)),top) )],[refute_0_762,refute_0_763]) ).
cnf(refute_0_765,plain,
zero = join(meet(zero,join(zero,zero)),complement(top)),
inference(resolve,[$cnf( $equal(zero,join(meet(zero,join(zero,zero)),complement(join(complement(zero),join(zero,zero))))) )],[refute_0_746,refute_0_764]) ).
cnf(refute_0_766,plain,
join(complement(top),meet(zero,join(zero,zero))) = join(complement(top),meet(zero,join(zero,zero))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(zero,join(zero,zero))))]]) ).
cnf(refute_0_767,plain,
( complement(top) != zero
| join(complement(top),meet(zero,join(zero,zero))) != join(complement(top),meet(zero,join(zero,zero)))
| join(complement(top),meet(zero,join(zero,zero))) = join(zero,meet(zero,join(zero,zero))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(zero,join(zero,zero))),join(complement(top),meet(zero,join(zero,zero)))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_768,plain,
( complement(top) != zero
| join(complement(top),meet(zero,join(zero,zero))) = join(zero,meet(zero,join(zero,zero))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(zero,join(zero,zero))),join(complement(top),meet(zero,join(zero,zero)))) )],[refute_0_766,refute_0_767]) ).
cnf(refute_0_769,plain,
join(complement(top),meet(zero,join(zero,zero))) = join(zero,meet(zero,join(zero,zero))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_49,refute_0_768]) ).
cnf(refute_0_770,plain,
join(meet(zero,join(zero,zero)),complement(top)) = join(complement(top),meet(zero,join(zero,zero))),
inference(subst,[],[refute_0_7:[bind(X0,$fot(complement(top))),bind(X1,$fot(meet(zero,join(zero,zero))))]]) ).
cnf(refute_0_771,plain,
( join(complement(top),meet(zero,join(zero,zero))) != join(zero,meet(zero,join(zero,zero)))
| join(meet(zero,join(zero,zero)),complement(top)) != join(complement(top),meet(zero,join(zero,zero)))
| join(meet(zero,join(zero,zero)),complement(top)) = join(zero,meet(zero,join(zero,zero))) ),
inference(subst,[],[refute_0_41:[bind(X,$fot(join(meet(zero,join(zero,zero)),complement(top)))),bind(Y,$fot(join(complement(top),meet(zero,join(zero,zero))))),bind(Z,$fot(join(zero,meet(zero,join(zero,zero)))))]]) ).
cnf(refute_0_772,plain,
( join(complement(top),meet(zero,join(zero,zero))) != join(zero,meet(zero,join(zero,zero)))
| join(meet(zero,join(zero,zero)),complement(top)) = join(zero,meet(zero,join(zero,zero))) ),
inference(resolve,[$cnf( $equal(join(meet(zero,join(zero,zero)),complement(top)),join(complement(top),meet(zero,join(zero,zero)))) )],[refute_0_770,refute_0_771]) ).
cnf(refute_0_773,plain,
join(meet(zero,join(zero,zero)),complement(top)) = join(zero,meet(zero,join(zero,zero))),
inference(resolve,[$cnf( $equal(join(complement(top),meet(zero,join(zero,zero))),join(zero,meet(zero,join(zero,zero)))) )],[refute_0_769,refute_0_772]) ).
cnf(refute_0_774,plain,
( join(meet(zero,join(zero,zero)),complement(top)) != join(zero,meet(zero,join(zero,zero)))
| zero != join(meet(zero,join(zero,zero)),complement(top))
| zero = join(zero,meet(zero,join(zero,zero))) ),
introduced(tautology,[equality,[$cnf( $equal(zero,join(meet(zero,join(zero,zero)),complement(top))) ),[1],$fot(join(zero,meet(zero,join(zero,zero))))]]) ).
cnf(refute_0_775,plain,
( zero != join(meet(zero,join(zero,zero)),complement(top))
| zero = join(zero,meet(zero,join(zero,zero))) ),
inference(resolve,[$cnf( $equal(join(meet(zero,join(zero,zero)),complement(top)),join(zero,meet(zero,join(zero,zero)))) )],[refute_0_773,refute_0_774]) ).
cnf(refute_0_776,plain,
zero = join(zero,meet(zero,join(zero,zero))),
inference(resolve,[$cnf( $equal(zero,join(meet(zero,join(zero,zero)),complement(top))) )],[refute_0_765,refute_0_775]) ).
cnf(refute_0_777,plain,
( zero != join(zero,meet(zero,join(zero,zero)))
| join(zero,meet(zero,join(zero,zero))) = zero ),
inference(subst,[],[refute_0_5:[bind(X,$fot(zero)),bind(Y,$fot(join(zero,meet(zero,join(zero,zero)))))]]) ).
cnf(refute_0_778,plain,
join(zero,meet(zero,join(zero,zero))) = zero,
inference(resolve,[$cnf( $equal(zero,join(zero,meet(zero,join(zero,zero)))) )],[refute_0_776,refute_0_777]) ).
cnf(refute_0_779,plain,
meet(join(zero,zero),zero) = meet(zero,join(zero,zero)),
inference(subst,[],[refute_0_144:[bind(X_6,$fot(zero)),bind(X_7,$fot(join(zero,zero)))]]) ).
cnf(refute_0_780,plain,
complement(meet(top,top)) = complement(meet(top,top)),
introduced(tautology,[refl,[$fot(complement(meet(top,top)))]]) ).
cnf(refute_0_781,plain,
( complement(meet(top,top)) != complement(meet(top,top))
| meet(top,top) != top
| complement(meet(top,top)) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(top,top)),complement(meet(top,top))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_782,plain,
( meet(top,top) != top
| complement(meet(top,top)) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(meet(top,top)),complement(meet(top,top))) )],[refute_0_780,refute_0_781]) ).
cnf(refute_0_783,plain,
complement(meet(top,top)) = complement(top),
inference(resolve,[$cnf( $equal(meet(top,top),top) )],[refute_0_723,refute_0_782]) ).
cnf(refute_0_784,plain,
( complement(meet(top,top)) != complement(top)
| complement(top) != zero
| complement(meet(top,top)) = zero ),
inference(subst,[],[refute_0_41:[bind(X,$fot(complement(meet(top,top)))),bind(Y,$fot(complement(top))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_785,plain,
( complement(top) != zero
| complement(meet(top,top)) = zero ),
inference(resolve,[$cnf( $equal(complement(meet(top,top)),complement(top)) )],[refute_0_783,refute_0_784]) ).
cnf(refute_0_786,plain,
complement(meet(top,top)) = zero,
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_49,refute_0_785]) ).
cnf(refute_0_787,plain,
meet(join(zero,zero),complement(meet(top,top))) = meet(join(zero,zero),complement(meet(top,top))),
introduced(tautology,[refl,[$fot(meet(join(zero,zero),complement(meet(top,top))))]]) ).
cnf(refute_0_788,plain,
( complement(meet(top,top)) != zero
| meet(join(zero,zero),complement(meet(top,top))) != meet(join(zero,zero),complement(meet(top,top)))
| meet(join(zero,zero),complement(meet(top,top))) = meet(join(zero,zero),zero) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(zero,zero),complement(meet(top,top))),meet(join(zero,zero),complement(meet(top,top)))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_789,plain,
( complement(meet(top,top)) != zero
| meet(join(zero,zero),complement(meet(top,top))) = meet(join(zero,zero),zero) ),
inference(resolve,[$cnf( $equal(meet(join(zero,zero),complement(meet(top,top))),meet(join(zero,zero),complement(meet(top,top)))) )],[refute_0_787,refute_0_788]) ).
cnf(refute_0_790,plain,
meet(join(zero,zero),complement(meet(top,top))) = meet(join(zero,zero),zero),
inference(resolve,[$cnf( $equal(complement(meet(top,top)),zero) )],[refute_0_786,refute_0_789]) ).
cnf(refute_0_791,plain,
( meet(join(zero,zero),complement(meet(top,top))) != meet(join(zero,zero),zero)
| meet(join(zero,zero),zero) != meet(zero,join(zero,zero))
| meet(join(zero,zero),complement(meet(top,top))) = meet(zero,join(zero,zero)) ),
inference(subst,[],[refute_0_41:[bind(X,$fot(meet(join(zero,zero),complement(meet(top,top))))),bind(Y,$fot(meet(join(zero,zero),zero))),bind(Z,$fot(meet(zero,join(zero,zero))))]]) ).
cnf(refute_0_792,plain,
( meet(join(zero,zero),zero) != meet(zero,join(zero,zero))
| meet(join(zero,zero),complement(meet(top,top))) = meet(zero,join(zero,zero)) ),
inference(resolve,[$cnf( $equal(meet(join(zero,zero),complement(meet(top,top))),meet(join(zero,zero),zero)) )],[refute_0_790,refute_0_791]) ).
cnf(refute_0_793,plain,
meet(join(zero,zero),complement(meet(top,top))) = meet(zero,join(zero,zero)),
inference(resolve,[$cnf( $equal(meet(join(zero,zero),zero),meet(zero,join(zero,zero))) )],[refute_0_779,refute_0_792]) ).
cnf(refute_0_794,plain,
join(zero,meet(join(zero,zero),complement(meet(top,top)))) = join(zero,meet(join(zero,zero),complement(meet(top,top)))),
introduced(tautology,[refl,[$fot(join(zero,meet(join(zero,zero),complement(meet(top,top)))))]]) ).
cnf(refute_0_795,plain,
( join(zero,meet(join(zero,zero),complement(meet(top,top)))) != join(zero,meet(join(zero,zero),complement(meet(top,top))))
| meet(join(zero,zero),complement(meet(top,top))) != meet(zero,join(zero,zero))
| join(zero,meet(join(zero,zero),complement(meet(top,top)))) = join(zero,meet(zero,join(zero,zero))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(join(zero,zero),complement(meet(top,top)))),join(zero,meet(join(zero,zero),complement(meet(top,top))))) ),[1,1],$fot(meet(zero,join(zero,zero)))]]) ).
cnf(refute_0_796,plain,
( meet(join(zero,zero),complement(meet(top,top))) != meet(zero,join(zero,zero))
| join(zero,meet(join(zero,zero),complement(meet(top,top)))) = join(zero,meet(zero,join(zero,zero))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(join(zero,zero),complement(meet(top,top)))),join(zero,meet(join(zero,zero),complement(meet(top,top))))) )],[refute_0_794,refute_0_795]) ).
cnf(refute_0_797,plain,
join(zero,meet(join(zero,zero),complement(meet(top,top)))) = join(zero,meet(zero,join(zero,zero))),
inference(resolve,[$cnf( $equal(meet(join(zero,zero),complement(meet(top,top))),meet(zero,join(zero,zero))) )],[refute_0_793,refute_0_796]) ).
cnf(refute_0_798,plain,
( join(zero,meet(join(zero,zero),complement(meet(top,top)))) != join(zero,meet(zero,join(zero,zero)))
| join(zero,meet(zero,join(zero,zero))) != zero
| join(zero,meet(join(zero,zero),complement(meet(top,top)))) = zero ),
inference(subst,[],[refute_0_41:[bind(X,$fot(join(zero,meet(join(zero,zero),complement(meet(top,top)))))),bind(Y,$fot(join(zero,meet(zero,join(zero,zero))))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_799,plain,
( join(zero,meet(zero,join(zero,zero))) != zero
| join(zero,meet(join(zero,zero),complement(meet(top,top)))) = zero ),
inference(resolve,[$cnf( $equal(join(zero,meet(join(zero,zero),complement(meet(top,top)))),join(zero,meet(zero,join(zero,zero)))) )],[refute_0_797,refute_0_798]) ).
cnf(refute_0_800,plain,
join(zero,meet(join(zero,zero),complement(meet(top,top)))) = zero,
inference(resolve,[$cnf( $equal(join(zero,meet(zero,join(zero,zero))),zero) )],[refute_0_778,refute_0_799]) ).
cnf(refute_0_801,plain,
( join(zero,meet(join(zero,zero),complement(meet(top,top)))) != zero
| join(zero,zero) != join(zero,meet(join(zero,zero),complement(meet(top,top))))
| join(zero,zero) = zero ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,zero),join(zero,meet(join(zero,zero),complement(meet(top,top))))) ),[1],$fot(zero)]]) ).
cnf(refute_0_802,plain,
( join(zero,zero) != join(zero,meet(join(zero,zero),complement(meet(top,top))))
| join(zero,zero) = zero ),
inference(resolve,[$cnf( $equal(join(zero,meet(join(zero,zero),complement(meet(top,top)))),zero) )],[refute_0_800,refute_0_801]) ).
cnf(refute_0_803,plain,
join(zero,zero) = zero,
inference(resolve,[$cnf( $equal(join(zero,zero),join(zero,meet(join(zero,zero),complement(meet(top,top))))) )],[refute_0_745,refute_0_802]) ).
cnf(refute_0_804,plain,
( join(zero,zero) != join(complement(join(top,X_30)),meet(join(zero,zero),X_30))
| join(zero,zero) != zero
| zero = join(complement(join(top,X_30)),meet(join(zero,zero),X_30)) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,zero),join(complement(join(top,X_30)),meet(join(zero,zero),X_30))) ),[0],$fot(zero)]]) ).
cnf(refute_0_805,plain,
( join(zero,zero) != join(complement(join(top,X_30)),meet(join(zero,zero),X_30))
| zero = join(complement(join(top,X_30)),meet(join(zero,zero),X_30)) ),
inference(resolve,[$cnf( $equal(join(zero,zero),zero) )],[refute_0_803,refute_0_804]) ).
cnf(refute_0_806,plain,
join(complement(join(top,X_30)),meet(zero,X_30)) = join(meet(zero,X_30),complement(join(top,X_30))),
inference(subst,[],[refute_0_7:[bind(X0,$fot(meet(zero,X_30))),bind(X1,$fot(complement(join(top,X_30))))]]) ).
cnf(refute_0_807,plain,
meet(join(zero,zero),X_30) = meet(join(zero,zero),X_30),
introduced(tautology,[refl,[$fot(meet(join(zero,zero),X_30))]]) ).
cnf(refute_0_808,plain,
( join(zero,zero) != zero
| meet(join(zero,zero),X_30) != meet(join(zero,zero),X_30)
| meet(join(zero,zero),X_30) = meet(zero,X_30) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(zero,zero),X_30),meet(join(zero,zero),X_30)) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_809,plain,
( join(zero,zero) != zero
| meet(join(zero,zero),X_30) = meet(zero,X_30) ),
inference(resolve,[$cnf( $equal(meet(join(zero,zero),X_30),meet(join(zero,zero),X_30)) )],[refute_0_807,refute_0_808]) ).
cnf(refute_0_810,plain,
meet(join(zero,zero),X_30) = meet(zero,X_30),
inference(resolve,[$cnf( $equal(join(zero,zero),zero) )],[refute_0_803,refute_0_809]) ).
cnf(refute_0_811,plain,
join(complement(join(top,X_30)),meet(join(zero,zero),X_30)) = join(complement(join(top,X_30)),meet(join(zero,zero),X_30)),
introduced(tautology,[refl,[$fot(join(complement(join(top,X_30)),meet(join(zero,zero),X_30)))]]) ).
cnf(refute_0_812,plain,
( join(complement(join(top,X_30)),meet(join(zero,zero),X_30)) != join(complement(join(top,X_30)),meet(join(zero,zero),X_30))
| meet(join(zero,zero),X_30) != meet(zero,X_30)
| join(complement(join(top,X_30)),meet(join(zero,zero),X_30)) = join(complement(join(top,X_30)),meet(zero,X_30)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(join(top,X_30)),meet(join(zero,zero),X_30)),join(complement(join(top,X_30)),meet(join(zero,zero),X_30))) ),[1,1],$fot(meet(zero,X_30))]]) ).
cnf(refute_0_813,plain,
( meet(join(zero,zero),X_30) != meet(zero,X_30)
| join(complement(join(top,X_30)),meet(join(zero,zero),X_30)) = join(complement(join(top,X_30)),meet(zero,X_30)) ),
inference(resolve,[$cnf( $equal(join(complement(join(top,X_30)),meet(join(zero,zero),X_30)),join(complement(join(top,X_30)),meet(join(zero,zero),X_30))) )],[refute_0_811,refute_0_812]) ).
cnf(refute_0_814,plain,
join(complement(join(top,X_30)),meet(join(zero,zero),X_30)) = join(complement(join(top,X_30)),meet(zero,X_30)),
inference(resolve,[$cnf( $equal(meet(join(zero,zero),X_30),meet(zero,X_30)) )],[refute_0_810,refute_0_813]) ).
cnf(refute_0_815,plain,
( join(complement(join(top,X_30)),meet(join(zero,zero),X_30)) != join(complement(join(top,X_30)),meet(zero,X_30))
| join(complement(join(top,X_30)),meet(zero,X_30)) != join(meet(zero,X_30),complement(join(top,X_30)))
| join(complement(join(top,X_30)),meet(join(zero,zero),X_30)) = join(meet(zero,X_30),complement(join(top,X_30))) ),
inference(subst,[],[refute_0_41:[bind(X,$fot(join(complement(join(top,X_30)),meet(join(zero,zero),X_30)))),bind(Y,$fot(join(complement(join(top,X_30)),meet(zero,X_30)))),bind(Z,$fot(join(meet(zero,X_30),complement(join(top,X_30)))))]]) ).
cnf(refute_0_816,plain,
( join(complement(join(top,X_30)),meet(zero,X_30)) != join(meet(zero,X_30),complement(join(top,X_30)))
| join(complement(join(top,X_30)),meet(join(zero,zero),X_30)) = join(meet(zero,X_30),complement(join(top,X_30))) ),
inference(resolve,[$cnf( $equal(join(complement(join(top,X_30)),meet(join(zero,zero),X_30)),join(complement(join(top,X_30)),meet(zero,X_30))) )],[refute_0_814,refute_0_815]) ).
cnf(refute_0_817,plain,
join(complement(join(top,X_30)),meet(join(zero,zero),X_30)) = join(meet(zero,X_30),complement(join(top,X_30))),
inference(resolve,[$cnf( $equal(join(complement(join(top,X_30)),meet(zero,X_30)),join(meet(zero,X_30),complement(join(top,X_30)))) )],[refute_0_806,refute_0_816]) ).
cnf(refute_0_818,plain,
( join(complement(join(top,X_30)),meet(join(zero,zero),X_30)) != join(meet(zero,X_30),complement(join(top,X_30)))
| zero != join(complement(join(top,X_30)),meet(join(zero,zero),X_30))
| zero = join(meet(zero,X_30),complement(join(top,X_30))) ),
introduced(tautology,[equality,[$cnf( $equal(zero,join(complement(join(top,X_30)),meet(join(zero,zero),X_30))) ),[1],$fot(join(meet(zero,X_30),complement(join(top,X_30))))]]) ).
cnf(refute_0_819,plain,
( zero != join(complement(join(top,X_30)),meet(join(zero,zero),X_30))
| zero = join(meet(zero,X_30),complement(join(top,X_30))) ),
inference(resolve,[$cnf( $equal(join(complement(join(top,X_30)),meet(join(zero,zero),X_30)),join(meet(zero,X_30),complement(join(top,X_30)))) )],[refute_0_817,refute_0_818]) ).
cnf(refute_0_820,plain,
( join(zero,zero) != join(complement(join(top,X_30)),meet(join(zero,zero),X_30))
| zero = join(meet(zero,X_30),complement(join(top,X_30))) ),
inference(resolve,[$cnf( $equal(zero,join(complement(join(top,X_30)),meet(join(zero,zero),X_30))) )],[refute_0_805,refute_0_819]) ).
cnf(refute_0_821,plain,
zero = join(meet(zero,X_30),complement(join(top,X_30))),
inference(resolve,[$cnf( $equal(join(zero,zero),join(complement(join(top,X_30)),meet(join(zero,zero),X_30))) )],[refute_0_741,refute_0_820]) ).
cnf(refute_0_822,plain,
zero = join(meet(zero,converse(complement(converse(top)))),complement(join(top,converse(complement(converse(top)))))),
inference(subst,[],[refute_0_821:[bind(X_30,$fot(converse(complement(converse(top)))))]]) ).
cnf(refute_0_823,plain,
converse(top) = join(top,converse(complement(converse(top)))),
inference(subst,[],[refute_0_491:[bind(X_13,$fot(top))]]) ).
cnf(refute_0_824,plain,
( converse(top) != join(top,converse(complement(converse(top))))
| join(top,converse(complement(converse(top)))) = converse(top) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(converse(top))),bind(Y,$fot(join(top,converse(complement(converse(top))))))]]) ).
cnf(refute_0_825,plain,
join(top,converse(complement(converse(top)))) = converse(top),
inference(resolve,[$cnf( $equal(converse(top),join(top,converse(complement(converse(top))))) )],[refute_0_823,refute_0_824]) ).
cnf(refute_0_826,plain,
( join(top,converse(complement(converse(top)))) != converse(top)
| zero != join(meet(zero,converse(complement(converse(top)))),complement(join(top,converse(complement(converse(top))))))
| zero = join(meet(zero,converse(complement(converse(top)))),complement(converse(top))) ),
introduced(tautology,[equality,[$cnf( $equal(zero,join(meet(zero,converse(complement(converse(top)))),complement(join(top,converse(complement(converse(top))))))) ),[1,1,0],$fot(converse(top))]]) ).
cnf(refute_0_827,plain,
( zero != join(meet(zero,converse(complement(converse(top)))),complement(join(top,converse(complement(converse(top))))))
| zero = join(meet(zero,converse(complement(converse(top)))),complement(converse(top))) ),
inference(resolve,[$cnf( $equal(join(top,converse(complement(converse(top)))),converse(top)) )],[refute_0_825,refute_0_826]) ).
cnf(refute_0_828,plain,
zero = join(meet(zero,converse(complement(converse(top)))),complement(converse(top))),
inference(resolve,[$cnf( $equal(zero,join(meet(zero,converse(complement(converse(top)))),complement(join(top,converse(complement(converse(top))))))) )],[refute_0_822,refute_0_827]) ).
cnf(refute_0_829,plain,
join(meet(zero,converse(complement(converse(top)))),complement(converse(top))) = join(complement(converse(top)),meet(zero,converse(complement(converse(top))))),
inference(subst,[],[refute_0_7:[bind(X0,$fot(complement(converse(top)))),bind(X1,$fot(meet(zero,converse(complement(converse(top))))))]]) ).
cnf(refute_0_830,plain,
( join(meet(zero,converse(complement(converse(top)))),complement(converse(top))) != join(complement(converse(top)),meet(zero,converse(complement(converse(top)))))
| zero != join(meet(zero,converse(complement(converse(top)))),complement(converse(top)))
| zero = join(complement(converse(top)),meet(zero,converse(complement(converse(top))))) ),
introduced(tautology,[equality,[$cnf( $equal(zero,join(meet(zero,converse(complement(converse(top)))),complement(converse(top)))) ),[1],$fot(join(complement(converse(top)),meet(zero,converse(complement(converse(top))))))]]) ).
cnf(refute_0_831,plain,
( zero != join(meet(zero,converse(complement(converse(top)))),complement(converse(top)))
| zero = join(complement(converse(top)),meet(zero,converse(complement(converse(top))))) ),
inference(resolve,[$cnf( $equal(join(meet(zero,converse(complement(converse(top)))),complement(converse(top))),join(complement(converse(top)),meet(zero,converse(complement(converse(top)))))) )],[refute_0_829,refute_0_830]) ).
cnf(refute_0_832,plain,
zero = join(complement(converse(top)),meet(zero,converse(complement(converse(top))))),
inference(resolve,[$cnf( $equal(zero,join(meet(zero,converse(complement(converse(top)))),complement(converse(top)))) )],[refute_0_828,refute_0_831]) ).
cnf(refute_0_833,plain,
X_29 = join(meet(X_29,complement(X1)),complement(join(complement(X_29),complement(X1)))),
inference(subst,[],[refute_0_73:[bind(X0,$fot(X_29)),bind(X1,$fot(complement(X1)))]]) ).
cnf(refute_0_834,plain,
meet(X_29,X1) = complement(join(complement(X_29),complement(X1))),
inference(subst,[],[refute_0_20:[bind(X0,$fot(X_29))]]) ).
cnf(refute_0_835,plain,
( meet(X_29,X1) != complement(join(complement(X_29),complement(X1)))
| complement(join(complement(X_29),complement(X1))) = meet(X_29,X1) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(meet(X_29,X1))),bind(Y,$fot(complement(join(complement(X_29),complement(X1)))))]]) ).
cnf(refute_0_836,plain,
complement(join(complement(X_29),complement(X1))) = meet(X_29,X1),
inference(resolve,[$cnf( $equal(meet(X_29,X1),complement(join(complement(X_29),complement(X1)))) )],[refute_0_834,refute_0_835]) ).
cnf(refute_0_837,plain,
( X_29 != join(meet(X_29,complement(X1)),complement(join(complement(X_29),complement(X1))))
| complement(join(complement(X_29),complement(X1))) != meet(X_29,X1)
| X_29 = join(meet(X_29,complement(X1)),meet(X_29,X1)) ),
introduced(tautology,[equality,[$cnf( $equal(X_29,join(meet(X_29,complement(X1)),complement(join(complement(X_29),complement(X1))))) ),[1,1],$fot(meet(X_29,X1))]]) ).
cnf(refute_0_838,plain,
( X_29 != join(meet(X_29,complement(X1)),complement(join(complement(X_29),complement(X1))))
| X_29 = join(meet(X_29,complement(X1)),meet(X_29,X1)) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_29),complement(X1))),meet(X_29,X1)) )],[refute_0_836,refute_0_837]) ).
cnf(refute_0_839,plain,
X_29 = join(meet(X_29,complement(X1)),meet(X_29,X1)),
inference(resolve,[$cnf( $equal(X_29,join(meet(X_29,complement(X1)),complement(join(complement(X_29),complement(X1))))) )],[refute_0_833,refute_0_838]) ).
cnf(refute_0_840,plain,
join(meet(X_29,complement(X1)),meet(X_29,X1)) = join(meet(X_29,X1),meet(X_29,complement(X1))),
inference(subst,[],[refute_0_7:[bind(X0,$fot(meet(X_29,X1))),bind(X1,$fot(meet(X_29,complement(X1))))]]) ).
cnf(refute_0_841,plain,
( X_29 != join(meet(X_29,complement(X1)),meet(X_29,X1))
| join(meet(X_29,complement(X1)),meet(X_29,X1)) != join(meet(X_29,X1),meet(X_29,complement(X1)))
| X_29 = join(meet(X_29,X1),meet(X_29,complement(X1))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_29,join(meet(X_29,X1),meet(X_29,complement(X1)))) ),[0],$fot(join(meet(X_29,complement(X1)),meet(X_29,X1)))]]) ).
cnf(refute_0_842,plain,
( X_29 != join(meet(X_29,complement(X1)),meet(X_29,X1))
| X_29 = join(meet(X_29,X1),meet(X_29,complement(X1))) ),
inference(resolve,[$cnf( $equal(join(meet(X_29,complement(X1)),meet(X_29,X1)),join(meet(X_29,X1),meet(X_29,complement(X1)))) )],[refute_0_840,refute_0_841]) ).
cnf(refute_0_843,plain,
X_29 = join(meet(X_29,X1),meet(X_29,complement(X1))),
inference(resolve,[$cnf( $equal(X_29,join(meet(X_29,complement(X1)),meet(X_29,X1))) )],[refute_0_839,refute_0_842]) ).
cnf(refute_0_844,plain,
X_40 = join(meet(X_40,top),meet(X_40,complement(top))),
inference(subst,[],[refute_0_843:[bind(X1,$fot(top)),bind(X_29,$fot(X_40))]]) ).
cnf(refute_0_845,plain,
( X_40 != join(meet(X_40,top),meet(X_40,complement(top)))
| complement(top) != zero
| X_40 = join(meet(X_40,top),meet(X_40,zero)) ),
introduced(tautology,[equality,[$cnf( $equal(X_40,join(meet(X_40,top),meet(X_40,complement(top)))) ),[1,1,1],$fot(zero)]]) ).
cnf(refute_0_846,plain,
( X_40 != join(meet(X_40,top),meet(X_40,complement(top)))
| X_40 = join(meet(X_40,top),meet(X_40,zero)) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_49,refute_0_845]) ).
cnf(refute_0_847,plain,
X_40 = join(meet(X_40,top),meet(X_40,zero)),
inference(resolve,[$cnf( $equal(X_40,join(meet(X_40,top),meet(X_40,complement(top)))) )],[refute_0_844,refute_0_846]) ).
cnf(refute_0_848,plain,
X_41 = join(meet(X_41,top),meet(X_41,zero)),
inference(subst,[],[refute_0_847:[bind(X_40,$fot(X_41))]]) ).
cnf(refute_0_849,plain,
meet(zero,X_41) = meet(X_41,zero),
inference(subst,[],[refute_0_142:[bind(X_6,$fot(zero)),bind(X_7,$fot(X_41))]]) ).
cnf(refute_0_850,plain,
( meet(zero,X_41) != meet(X_41,zero)
| meet(X_41,zero) = meet(zero,X_41) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(meet(zero,X_41))),bind(Y,$fot(meet(X_41,zero)))]]) ).
cnf(refute_0_851,plain,
meet(X_41,zero) = meet(zero,X_41),
inference(resolve,[$cnf( $equal(meet(zero,X_41),meet(X_41,zero)) )],[refute_0_849,refute_0_850]) ).
cnf(refute_0_852,plain,
( X_41 != join(meet(X_41,top),meet(X_41,zero))
| meet(X_41,zero) != meet(zero,X_41)
| X_41 = join(meet(X_41,top),meet(zero,X_41)) ),
introduced(tautology,[equality,[$cnf( $equal(X_41,join(meet(X_41,top),meet(X_41,zero))) ),[1,1],$fot(meet(zero,X_41))]]) ).
cnf(refute_0_853,plain,
( X_41 != join(meet(X_41,top),meet(X_41,zero))
| X_41 = join(meet(X_41,top),meet(zero,X_41)) ),
inference(resolve,[$cnf( $equal(meet(X_41,zero),meet(zero,X_41)) )],[refute_0_851,refute_0_852]) ).
cnf(refute_0_854,plain,
X_41 = join(meet(X_41,top),meet(zero,X_41)),
inference(resolve,[$cnf( $equal(X_41,join(meet(X_41,top),meet(X_41,zero))) )],[refute_0_848,refute_0_853]) ).
cnf(refute_0_855,plain,
X_42 = join(meet(X_42,top),meet(zero,X_42)),
inference(subst,[],[refute_0_854:[bind(X_41,$fot(X_42))]]) ).
cnf(refute_0_856,plain,
meet(top,X_42) = meet(X_42,top),
inference(subst,[],[refute_0_142:[bind(X_6,$fot(top)),bind(X_7,$fot(X_42))]]) ).
cnf(refute_0_857,plain,
( meet(top,X_42) != meet(X_42,top)
| meet(X_42,top) = meet(top,X_42) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(meet(top,X_42))),bind(Y,$fot(meet(X_42,top)))]]) ).
cnf(refute_0_858,plain,
meet(X_42,top) = meet(top,X_42),
inference(resolve,[$cnf( $equal(meet(top,X_42),meet(X_42,top)) )],[refute_0_856,refute_0_857]) ).
cnf(refute_0_859,plain,
( X_42 != join(meet(X_42,top),meet(zero,X_42))
| meet(X_42,top) != meet(top,X_42)
| X_42 = join(meet(top,X_42),meet(zero,X_42)) ),
introduced(tautology,[equality,[$cnf( $equal(X_42,join(meet(X_42,top),meet(zero,X_42))) ),[1,0],$fot(meet(top,X_42))]]) ).
cnf(refute_0_860,plain,
( X_42 != join(meet(X_42,top),meet(zero,X_42))
| X_42 = join(meet(top,X_42),meet(zero,X_42)) ),
inference(resolve,[$cnf( $equal(meet(X_42,top),meet(top,X_42)) )],[refute_0_858,refute_0_859]) ).
cnf(refute_0_861,plain,
X_42 = join(meet(top,X_42),meet(zero,X_42)),
inference(resolve,[$cnf( $equal(X_42,join(meet(X_42,top),meet(zero,X_42))) )],[refute_0_855,refute_0_860]) ).
cnf(refute_0_862,plain,
meet(top,X_42) = X_42,
inference(subst,[],[refute_0_418:[bind(X_10,$fot(X_42))]]) ).
cnf(refute_0_863,plain,
join(meet(top,X_42),meet(zero,X_42)) = join(meet(top,X_42),meet(zero,X_42)),
introduced(tautology,[refl,[$fot(join(meet(top,X_42),meet(zero,X_42)))]]) ).
cnf(refute_0_864,plain,
( join(meet(top,X_42),meet(zero,X_42)) != join(meet(top,X_42),meet(zero,X_42))
| meet(top,X_42) != X_42
| join(meet(top,X_42),meet(zero,X_42)) = join(X_42,meet(zero,X_42)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(top,X_42),meet(zero,X_42)),join(meet(top,X_42),meet(zero,X_42))) ),[1,0],$fot(X_42)]]) ).
cnf(refute_0_865,plain,
( meet(top,X_42) != X_42
| join(meet(top,X_42),meet(zero,X_42)) = join(X_42,meet(zero,X_42)) ),
inference(resolve,[$cnf( $equal(join(meet(top,X_42),meet(zero,X_42)),join(meet(top,X_42),meet(zero,X_42))) )],[refute_0_863,refute_0_864]) ).
cnf(refute_0_866,plain,
join(meet(top,X_42),meet(zero,X_42)) = join(X_42,meet(zero,X_42)),
inference(resolve,[$cnf( $equal(meet(top,X_42),X_42) )],[refute_0_862,refute_0_865]) ).
cnf(refute_0_867,plain,
( X_42 != join(meet(top,X_42),meet(zero,X_42))
| join(meet(top,X_42),meet(zero,X_42)) != join(X_42,meet(zero,X_42))
| X_42 = join(X_42,meet(zero,X_42)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_42,join(X_42,meet(zero,X_42))) ),[0],$fot(join(meet(top,X_42),meet(zero,X_42)))]]) ).
cnf(refute_0_868,plain,
( X_42 != join(meet(top,X_42),meet(zero,X_42))
| X_42 = join(X_42,meet(zero,X_42)) ),
inference(resolve,[$cnf( $equal(join(meet(top,X_42),meet(zero,X_42)),join(X_42,meet(zero,X_42))) )],[refute_0_866,refute_0_867]) ).
cnf(refute_0_869,plain,
X_42 = join(X_42,meet(zero,X_42)),
inference(resolve,[$cnf( $equal(X_42,join(meet(top,X_42),meet(zero,X_42))) )],[refute_0_861,refute_0_868]) ).
cnf(refute_0_870,plain,
zero = meet(join(top,complement(X_36)),complement(join(top,complement(X_36)))),
inference(subst,[],[refute_0_18:[bind(X0,$fot(join(top,complement(X_36))))]]) ).
cnf(refute_0_871,plain,
meet(zero,X1) = complement(join(complement(zero),complement(X1))),
inference(subst,[],[refute_0_20:[bind(X0,$fot(zero))]]) ).
cnf(refute_0_872,plain,
( complement(zero) != top
| meet(zero,X1) != complement(join(complement(zero),complement(X1)))
| meet(zero,X1) = complement(join(top,complement(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(zero,X1),complement(join(complement(zero),complement(X1)))) ),[1,0,0],$fot(top)]]) ).
cnf(refute_0_873,plain,
( meet(zero,X1) != complement(join(complement(zero),complement(X1)))
| meet(zero,X1) = complement(join(top,complement(X1))) ),
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_703,refute_0_872]) ).
cnf(refute_0_874,plain,
meet(zero,X1) = complement(join(top,complement(X1))),
inference(resolve,[$cnf( $equal(meet(zero,X1),complement(join(complement(zero),complement(X1)))) )],[refute_0_871,refute_0_873]) ).
cnf(refute_0_875,plain,
meet(zero,X_36) = complement(join(top,complement(X_36))),
inference(subst,[],[refute_0_874:[bind(X1,$fot(X_36))]]) ).
cnf(refute_0_876,plain,
( meet(zero,X_36) != complement(join(top,complement(X_36)))
| complement(join(top,complement(X_36))) = meet(zero,X_36) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(meet(zero,X_36))),bind(Y,$fot(complement(join(top,complement(X_36)))))]]) ).
cnf(refute_0_877,plain,
complement(join(top,complement(X_36))) = meet(zero,X_36),
inference(resolve,[$cnf( $equal(meet(zero,X_36),complement(join(top,complement(X_36)))) )],[refute_0_875,refute_0_876]) ).
cnf(refute_0_878,plain,
( complement(join(top,complement(X_36))) != meet(zero,X_36)
| zero != meet(join(top,complement(X_36)),complement(join(top,complement(X_36))))
| zero = meet(join(top,complement(X_36)),meet(zero,X_36)) ),
introduced(tautology,[equality,[$cnf( $equal(zero,meet(join(top,complement(X_36)),complement(join(top,complement(X_36))))) ),[1,1],$fot(meet(zero,X_36))]]) ).
cnf(refute_0_879,plain,
( zero != meet(join(top,complement(X_36)),complement(join(top,complement(X_36))))
| zero = meet(join(top,complement(X_36)),meet(zero,X_36)) ),
inference(resolve,[$cnf( $equal(complement(join(top,complement(X_36))),meet(zero,X_36)) )],[refute_0_877,refute_0_878]) ).
cnf(refute_0_880,plain,
zero = meet(join(top,complement(X_36)),meet(zero,X_36)),
inference(resolve,[$cnf( $equal(zero,meet(join(top,complement(X_36)),complement(join(top,complement(X_36))))) )],[refute_0_870,refute_0_879]) ).
cnf(refute_0_881,plain,
meet(join(top,complement(X_36)),meet(zero,X_36)) = meet(meet(zero,X_36),join(top,complement(X_36))),
inference(subst,[],[refute_0_144:[bind(X_6,$fot(meet(zero,X_36))),bind(X_7,$fot(join(top,complement(X_36))))]]) ).
cnf(refute_0_882,plain,
( meet(join(top,complement(X_36)),meet(zero,X_36)) != meet(meet(zero,X_36),join(top,complement(X_36)))
| zero != meet(join(top,complement(X_36)),meet(zero,X_36))
| zero = meet(meet(zero,X_36),join(top,complement(X_36))) ),
introduced(tautology,[equality,[$cnf( $equal(zero,meet(join(top,complement(X_36)),meet(zero,X_36))) ),[1],$fot(meet(meet(zero,X_36),join(top,complement(X_36))))]]) ).
cnf(refute_0_883,plain,
( zero != meet(join(top,complement(X_36)),meet(zero,X_36))
| zero = meet(meet(zero,X_36),join(top,complement(X_36))) ),
inference(resolve,[$cnf( $equal(meet(join(top,complement(X_36)),meet(zero,X_36)),meet(meet(zero,X_36),join(top,complement(X_36)))) )],[refute_0_881,refute_0_882]) ).
cnf(refute_0_884,plain,
zero = meet(meet(zero,X_36),join(top,complement(X_36))),
inference(resolve,[$cnf( $equal(zero,meet(join(top,complement(X_36)),meet(zero,X_36))) )],[refute_0_880,refute_0_883]) ).
cnf(refute_0_885,plain,
meet(top,X0) = X0,
inference(subst,[],[refute_0_418:[bind(X_10,$fot(X0))]]) ).
cnf(refute_0_886,plain,
( meet(X0,top) != meet(top,X0)
| meet(top,X0) != X0
| meet(X0,top) = X0 ),
introduced(tautology,[equality,[$cnf( ~ $equal(meet(X0,top),X0) ),[0],$fot(meet(top,X0))]]) ).
cnf(refute_0_887,plain,
( meet(X0,top) != meet(top,X0)
| meet(X0,top) = X0 ),
inference(resolve,[$cnf( $equal(meet(top,X0),X0) )],[refute_0_885,refute_0_886]) ).
cnf(refute_0_888,plain,
meet(X0,top) = X0,
inference(resolve,[$cnf( $equal(meet(X0,top),meet(top,X0)) )],[refute_0_264,refute_0_887]) ).
cnf(refute_0_889,plain,
meet(meet(zero,X_36),top) = meet(zero,X_36),
inference(subst,[],[refute_0_888:[bind(X0,$fot(meet(zero,X_36)))]]) ).
cnf(refute_0_890,plain,
top = join(complement(X_7),join(complement(X_7),meet(X_7,X_7))),
inference(subst,[],[refute_0_107:[bind(X_6,$fot(X_7))]]) ).
cnf(refute_0_891,plain,
( meet(X_7,X_7) != complement(complement(X_7))
| top != join(complement(X_7),join(complement(X_7),meet(X_7,X_7)))
| top = join(complement(X_7),join(complement(X_7),complement(complement(X_7)))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(X_7),join(complement(X_7),meet(X_7,X_7)))) ),[1,1,1],$fot(complement(complement(X_7)))]]) ).
cnf(refute_0_892,plain,
( top != join(complement(X_7),join(complement(X_7),meet(X_7,X_7)))
| top = join(complement(X_7),join(complement(X_7),complement(complement(X_7)))) ),
inference(resolve,[$cnf( $equal(meet(X_7,X_7),complement(complement(X_7))) )],[refute_0_361,refute_0_891]) ).
cnf(refute_0_893,plain,
top = join(complement(X_7),join(complement(X_7),complement(complement(X_7)))),
inference(resolve,[$cnf( $equal(top,join(complement(X_7),join(complement(X_7),meet(X_7,X_7)))) )],[refute_0_890,refute_0_892]) ).
cnf(refute_0_894,plain,
join(complement(X_7),top) = join(top,complement(X_7)),
inference(subst,[],[refute_0_7:[bind(X0,$fot(top)),bind(X1,$fot(complement(X_7)))]]) ).
cnf(refute_0_895,plain,
join(complement(X_7),complement(complement(X_7))) = top,
inference(subst,[],[refute_0_29:[bind(X0,$fot(complement(X_7)))]]) ).
cnf(refute_0_896,plain,
join(complement(X_7),join(complement(X_7),complement(complement(X_7)))) = join(complement(X_7),join(complement(X_7),complement(complement(X_7)))),
introduced(tautology,[refl,[$fot(join(complement(X_7),join(complement(X_7),complement(complement(X_7)))))]]) ).
cnf(refute_0_897,plain,
( join(complement(X_7),complement(complement(X_7))) != top
| join(complement(X_7),join(complement(X_7),complement(complement(X_7)))) != join(complement(X_7),join(complement(X_7),complement(complement(X_7))))
| join(complement(X_7),join(complement(X_7),complement(complement(X_7)))) = join(complement(X_7),top) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_7),join(complement(X_7),complement(complement(X_7)))),join(complement(X_7),join(complement(X_7),complement(complement(X_7))))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_898,plain,
( join(complement(X_7),complement(complement(X_7))) != top
| join(complement(X_7),join(complement(X_7),complement(complement(X_7)))) = join(complement(X_7),top) ),
inference(resolve,[$cnf( $equal(join(complement(X_7),join(complement(X_7),complement(complement(X_7)))),join(complement(X_7),join(complement(X_7),complement(complement(X_7))))) )],[refute_0_896,refute_0_897]) ).
cnf(refute_0_899,plain,
join(complement(X_7),join(complement(X_7),complement(complement(X_7)))) = join(complement(X_7),top),
inference(resolve,[$cnf( $equal(join(complement(X_7),complement(complement(X_7))),top) )],[refute_0_895,refute_0_898]) ).
cnf(refute_0_900,plain,
( join(complement(X_7),join(complement(X_7),complement(complement(X_7)))) != join(complement(X_7),top)
| join(complement(X_7),top) != join(top,complement(X_7))
| join(complement(X_7),join(complement(X_7),complement(complement(X_7)))) = join(top,complement(X_7)) ),
inference(subst,[],[refute_0_41:[bind(X,$fot(join(complement(X_7),join(complement(X_7),complement(complement(X_7)))))),bind(Y,$fot(join(complement(X_7),top))),bind(Z,$fot(join(top,complement(X_7))))]]) ).
cnf(refute_0_901,plain,
( join(complement(X_7),top) != join(top,complement(X_7))
| join(complement(X_7),join(complement(X_7),complement(complement(X_7)))) = join(top,complement(X_7)) ),
inference(resolve,[$cnf( $equal(join(complement(X_7),join(complement(X_7),complement(complement(X_7)))),join(complement(X_7),top)) )],[refute_0_899,refute_0_900]) ).
cnf(refute_0_902,plain,
join(complement(X_7),join(complement(X_7),complement(complement(X_7)))) = join(top,complement(X_7)),
inference(resolve,[$cnf( $equal(join(complement(X_7),top),join(top,complement(X_7))) )],[refute_0_894,refute_0_901]) ).
cnf(refute_0_903,plain,
( join(complement(X_7),join(complement(X_7),complement(complement(X_7)))) != join(top,complement(X_7))
| top != join(complement(X_7),join(complement(X_7),complement(complement(X_7))))
| top = join(top,complement(X_7)) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(X_7),join(complement(X_7),complement(complement(X_7))))) ),[1],$fot(join(top,complement(X_7)))]]) ).
cnf(refute_0_904,plain,
( top != join(complement(X_7),join(complement(X_7),complement(complement(X_7))))
| top = join(top,complement(X_7)) ),
inference(resolve,[$cnf( $equal(join(complement(X_7),join(complement(X_7),complement(complement(X_7)))),join(top,complement(X_7))) )],[refute_0_902,refute_0_903]) ).
cnf(refute_0_905,plain,
top = join(top,complement(X_7)),
inference(resolve,[$cnf( $equal(top,join(complement(X_7),join(complement(X_7),complement(complement(X_7))))) )],[refute_0_893,refute_0_904]) ).
cnf(refute_0_906,plain,
( top != join(top,complement(X_7))
| join(top,complement(X_7)) = top ),
inference(subst,[],[refute_0_5:[bind(X,$fot(top)),bind(Y,$fot(join(top,complement(X_7))))]]) ).
cnf(refute_0_907,plain,
join(top,complement(X_7)) = top,
inference(resolve,[$cnf( $equal(top,join(top,complement(X_7))) )],[refute_0_905,refute_0_906]) ).
cnf(refute_0_908,plain,
join(top,complement(X_36)) = top,
inference(subst,[],[refute_0_907:[bind(X_7,$fot(X_36))]]) ).
cnf(refute_0_909,plain,
meet(meet(zero,X_36),join(top,complement(X_36))) = meet(meet(zero,X_36),join(top,complement(X_36))),
introduced(tautology,[refl,[$fot(meet(meet(zero,X_36),join(top,complement(X_36))))]]) ).
cnf(refute_0_910,plain,
( join(top,complement(X_36)) != top
| meet(meet(zero,X_36),join(top,complement(X_36))) != meet(meet(zero,X_36),join(top,complement(X_36)))
| meet(meet(zero,X_36),join(top,complement(X_36))) = meet(meet(zero,X_36),top) ),
introduced(tautology,[equality,[$cnf( $equal(meet(meet(zero,X_36),join(top,complement(X_36))),meet(meet(zero,X_36),join(top,complement(X_36)))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_911,plain,
( join(top,complement(X_36)) != top
| meet(meet(zero,X_36),join(top,complement(X_36))) = meet(meet(zero,X_36),top) ),
inference(resolve,[$cnf( $equal(meet(meet(zero,X_36),join(top,complement(X_36))),meet(meet(zero,X_36),join(top,complement(X_36)))) )],[refute_0_909,refute_0_910]) ).
cnf(refute_0_912,plain,
meet(meet(zero,X_36),join(top,complement(X_36))) = meet(meet(zero,X_36),top),
inference(resolve,[$cnf( $equal(join(top,complement(X_36)),top) )],[refute_0_908,refute_0_911]) ).
cnf(refute_0_913,plain,
( meet(meet(zero,X_36),join(top,complement(X_36))) != meet(meet(zero,X_36),top)
| meet(meet(zero,X_36),top) != meet(zero,X_36)
| meet(meet(zero,X_36),join(top,complement(X_36))) = meet(zero,X_36) ),
inference(subst,[],[refute_0_41:[bind(X,$fot(meet(meet(zero,X_36),join(top,complement(X_36))))),bind(Y,$fot(meet(meet(zero,X_36),top))),bind(Z,$fot(meet(zero,X_36)))]]) ).
cnf(refute_0_914,plain,
( meet(meet(zero,X_36),top) != meet(zero,X_36)
| meet(meet(zero,X_36),join(top,complement(X_36))) = meet(zero,X_36) ),
inference(resolve,[$cnf( $equal(meet(meet(zero,X_36),join(top,complement(X_36))),meet(meet(zero,X_36),top)) )],[refute_0_912,refute_0_913]) ).
cnf(refute_0_915,plain,
meet(meet(zero,X_36),join(top,complement(X_36))) = meet(zero,X_36),
inference(resolve,[$cnf( $equal(meet(meet(zero,X_36),top),meet(zero,X_36)) )],[refute_0_889,refute_0_914]) ).
cnf(refute_0_916,plain,
( meet(meet(zero,X_36),join(top,complement(X_36))) != meet(zero,X_36)
| zero != meet(meet(zero,X_36),join(top,complement(X_36)))
| zero = meet(zero,X_36) ),
introduced(tautology,[equality,[$cnf( $equal(zero,meet(meet(zero,X_36),join(top,complement(X_36)))) ),[1],$fot(meet(zero,X_36))]]) ).
cnf(refute_0_917,plain,
( zero != meet(meet(zero,X_36),join(top,complement(X_36)))
| zero = meet(zero,X_36) ),
inference(resolve,[$cnf( $equal(meet(meet(zero,X_36),join(top,complement(X_36))),meet(zero,X_36)) )],[refute_0_915,refute_0_916]) ).
cnf(refute_0_918,plain,
zero = meet(zero,X_36),
inference(resolve,[$cnf( $equal(zero,meet(meet(zero,X_36),join(top,complement(X_36)))) )],[refute_0_884,refute_0_917]) ).
cnf(refute_0_919,plain,
( zero != meet(zero,X_36)
| meet(zero,X_36) = zero ),
inference(subst,[],[refute_0_5:[bind(X,$fot(zero)),bind(Y,$fot(meet(zero,X_36)))]]) ).
cnf(refute_0_920,plain,
meet(zero,X_36) = zero,
inference(resolve,[$cnf( $equal(zero,meet(zero,X_36)) )],[refute_0_918,refute_0_919]) ).
cnf(refute_0_921,plain,
meet(zero,X_42) = zero,
inference(subst,[],[refute_0_920:[bind(X_36,$fot(X_42))]]) ).
cnf(refute_0_922,plain,
join(X_42,meet(zero,X_42)) = join(X_42,meet(zero,X_42)),
introduced(tautology,[refl,[$fot(join(X_42,meet(zero,X_42)))]]) ).
cnf(refute_0_923,plain,
( join(X_42,meet(zero,X_42)) != join(X_42,meet(zero,X_42))
| meet(zero,X_42) != zero
| join(X_42,meet(zero,X_42)) = join(X_42,zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_42,meet(zero,X_42)),join(X_42,meet(zero,X_42))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_924,plain,
( meet(zero,X_42) != zero
| join(X_42,meet(zero,X_42)) = join(X_42,zero) ),
inference(resolve,[$cnf( $equal(join(X_42,meet(zero,X_42)),join(X_42,meet(zero,X_42))) )],[refute_0_922,refute_0_923]) ).
cnf(refute_0_925,plain,
join(X_42,meet(zero,X_42)) = join(X_42,zero),
inference(resolve,[$cnf( $equal(meet(zero,X_42),zero) )],[refute_0_921,refute_0_924]) ).
cnf(refute_0_926,plain,
( X_42 != join(X_42,meet(zero,X_42))
| join(X_42,meet(zero,X_42)) != join(X_42,zero)
| X_42 = join(X_42,zero) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_42,join(X_42,zero)) ),[0],$fot(join(X_42,meet(zero,X_42)))]]) ).
cnf(refute_0_927,plain,
( X_42 != join(X_42,meet(zero,X_42))
| X_42 = join(X_42,zero) ),
inference(resolve,[$cnf( $equal(join(X_42,meet(zero,X_42)),join(X_42,zero)) )],[refute_0_925,refute_0_926]) ).
cnf(refute_0_928,plain,
X_42 = join(X_42,zero),
inference(resolve,[$cnf( $equal(X_42,join(X_42,meet(zero,X_42))) )],[refute_0_869,refute_0_927]) ).
cnf(refute_0_929,plain,
( X_42 != join(X_42,zero)
| join(X_42,zero) = X_42 ),
inference(subst,[],[refute_0_5:[bind(X,$fot(X_42)),bind(Y,$fot(join(X_42,zero)))]]) ).
cnf(refute_0_930,plain,
join(X_42,zero) = X_42,
inference(resolve,[$cnf( $equal(X_42,join(X_42,zero)) )],[refute_0_928,refute_0_929]) ).
cnf(refute_0_931,plain,
join(complement(converse(top)),zero) = complement(converse(top)),
inference(subst,[],[refute_0_930:[bind(X_42,$fot(complement(converse(top))))]]) ).
cnf(refute_0_932,plain,
meet(zero,converse(complement(converse(top)))) = zero,
inference(subst,[],[refute_0_920:[bind(X_36,$fot(converse(complement(converse(top)))))]]) ).
cnf(refute_0_933,plain,
join(complement(converse(top)),meet(zero,converse(complement(converse(top))))) = join(complement(converse(top)),meet(zero,converse(complement(converse(top))))),
introduced(tautology,[refl,[$fot(join(complement(converse(top)),meet(zero,converse(complement(converse(top))))))]]) ).
cnf(refute_0_934,plain,
( join(complement(converse(top)),meet(zero,converse(complement(converse(top))))) != join(complement(converse(top)),meet(zero,converse(complement(converse(top)))))
| meet(zero,converse(complement(converse(top)))) != zero
| join(complement(converse(top)),meet(zero,converse(complement(converse(top))))) = join(complement(converse(top)),zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(top)),meet(zero,converse(complement(converse(top))))),join(complement(converse(top)),meet(zero,converse(complement(converse(top)))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_935,plain,
( meet(zero,converse(complement(converse(top)))) != zero
| join(complement(converse(top)),meet(zero,converse(complement(converse(top))))) = join(complement(converse(top)),zero) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),meet(zero,converse(complement(converse(top))))),join(complement(converse(top)),meet(zero,converse(complement(converse(top)))))) )],[refute_0_933,refute_0_934]) ).
cnf(refute_0_936,plain,
join(complement(converse(top)),meet(zero,converse(complement(converse(top))))) = join(complement(converse(top)),zero),
inference(resolve,[$cnf( $equal(meet(zero,converse(complement(converse(top)))),zero) )],[refute_0_932,refute_0_935]) ).
cnf(refute_0_937,plain,
( join(complement(converse(top)),meet(zero,converse(complement(converse(top))))) != join(complement(converse(top)),zero)
| join(complement(converse(top)),zero) != complement(converse(top))
| join(complement(converse(top)),meet(zero,converse(complement(converse(top))))) = complement(converse(top)) ),
inference(subst,[],[refute_0_41:[bind(X,$fot(join(complement(converse(top)),meet(zero,converse(complement(converse(top))))))),bind(Y,$fot(join(complement(converse(top)),zero))),bind(Z,$fot(complement(converse(top))))]]) ).
cnf(refute_0_938,plain,
( join(complement(converse(top)),zero) != complement(converse(top))
| join(complement(converse(top)),meet(zero,converse(complement(converse(top))))) = complement(converse(top)) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),meet(zero,converse(complement(converse(top))))),join(complement(converse(top)),zero)) )],[refute_0_936,refute_0_937]) ).
cnf(refute_0_939,plain,
join(complement(converse(top)),meet(zero,converse(complement(converse(top))))) = complement(converse(top)),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),zero),complement(converse(top))) )],[refute_0_931,refute_0_938]) ).
cnf(refute_0_940,plain,
( join(complement(converse(top)),meet(zero,converse(complement(converse(top))))) != complement(converse(top))
| zero != join(complement(converse(top)),meet(zero,converse(complement(converse(top)))))
| zero = complement(converse(top)) ),
introduced(tautology,[equality,[$cnf( $equal(zero,join(complement(converse(top)),meet(zero,converse(complement(converse(top)))))) ),[1],$fot(complement(converse(top)))]]) ).
cnf(refute_0_941,plain,
( zero != join(complement(converse(top)),meet(zero,converse(complement(converse(top)))))
| zero = complement(converse(top)) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),meet(zero,converse(complement(converse(top))))),complement(converse(top))) )],[refute_0_939,refute_0_940]) ).
cnf(refute_0_942,plain,
zero = complement(converse(top)),
inference(resolve,[$cnf( $equal(zero,join(complement(converse(top)),meet(zero,converse(complement(converse(top)))))) )],[refute_0_832,refute_0_941]) ).
cnf(refute_0_943,plain,
( zero != complement(converse(top))
| complement(converse(top)) = zero ),
inference(subst,[],[refute_0_5:[bind(X,$fot(zero)),bind(Y,$fot(complement(converse(top))))]]) ).
cnf(refute_0_944,plain,
complement(converse(top)) = zero,
inference(resolve,[$cnf( $equal(zero,complement(converse(top))) )],[refute_0_942,refute_0_943]) ).
cnf(refute_0_945,plain,
join(complement(converse(top)),converse(complement(converse(zero)))) = join(complement(converse(top)),converse(complement(converse(zero)))),
introduced(tautology,[refl,[$fot(join(complement(converse(top)),converse(complement(converse(zero)))))]]) ).
cnf(refute_0_946,plain,
( complement(converse(top)) != zero
| join(complement(converse(top)),converse(complement(converse(zero)))) != join(complement(converse(top)),converse(complement(converse(zero))))
| join(complement(converse(top)),converse(complement(converse(zero)))) = join(zero,converse(complement(converse(zero)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(top)),converse(complement(converse(zero)))),join(complement(converse(top)),converse(complement(converse(zero))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_947,plain,
( complement(converse(top)) != zero
| join(complement(converse(top)),converse(complement(converse(zero)))) = join(zero,converse(complement(converse(zero)))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),converse(complement(converse(zero)))),join(complement(converse(top)),converse(complement(converse(zero))))) )],[refute_0_945,refute_0_946]) ).
cnf(refute_0_948,plain,
join(complement(converse(top)),converse(complement(converse(zero)))) = join(zero,converse(complement(converse(zero)))),
inference(resolve,[$cnf( $equal(complement(converse(top)),zero) )],[refute_0_944,refute_0_947]) ).
cnf(refute_0_949,plain,
( join(complement(converse(top)),converse(complement(converse(zero)))) != join(zero,converse(complement(converse(zero))))
| join(zero,converse(complement(converse(zero)))) != converse(complement(converse(zero)))
| join(complement(converse(top)),converse(complement(converse(zero)))) = converse(complement(converse(zero))) ),
inference(subst,[],[refute_0_41:[bind(X,$fot(join(complement(converse(top)),converse(complement(converse(zero)))))),bind(Y,$fot(join(zero,converse(complement(converse(zero)))))),bind(Z,$fot(converse(complement(converse(zero)))))]]) ).
cnf(refute_0_950,plain,
( join(zero,converse(complement(converse(zero)))) != converse(complement(converse(zero)))
| join(complement(converse(top)),converse(complement(converse(zero)))) = converse(complement(converse(zero))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),converse(complement(converse(zero)))),join(zero,converse(complement(converse(zero))))) )],[refute_0_948,refute_0_949]) ).
cnf(refute_0_951,plain,
join(complement(converse(top)),converse(complement(converse(zero)))) = converse(complement(converse(zero))),
inference(resolve,[$cnf( $equal(join(zero,converse(complement(converse(zero)))),converse(complement(converse(zero)))) )],[refute_0_510,refute_0_950]) ).
cnf(refute_0_952,plain,
( join(complement(converse(top)),converse(complement(converse(zero)))) != converse(complement(converse(zero)))
| top != join(complement(converse(top)),converse(complement(converse(zero))))
| top = converse(complement(converse(zero))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(converse(top)),converse(complement(converse(zero))))) ),[1],$fot(converse(complement(converse(zero))))]]) ).
cnf(refute_0_953,plain,
( top != join(complement(converse(top)),converse(complement(converse(zero))))
| top = converse(complement(converse(zero))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),converse(complement(converse(zero)))),converse(complement(converse(zero)))) )],[refute_0_951,refute_0_952]) ).
cnf(refute_0_954,plain,
top = converse(complement(converse(zero))),
inference(resolve,[$cnf( $equal(top,join(complement(converse(top)),converse(complement(converse(zero))))) )],[refute_0_509,refute_0_953]) ).
cnf(refute_0_955,plain,
( top != converse(complement(converse(zero)))
| converse(complement(converse(zero))) = top ),
inference(subst,[],[refute_0_5:[bind(X,$fot(top)),bind(Y,$fot(converse(complement(converse(zero)))))]]) ).
cnf(refute_0_956,plain,
converse(complement(converse(zero))) = top,
inference(resolve,[$cnf( $equal(top,converse(complement(converse(zero)))) )],[refute_0_954,refute_0_955]) ).
cnf(refute_0_957,plain,
( converse(complement(converse(zero))) != top
| converse(converse(complement(converse(zero)))) != complement(converse(zero))
| converse(top) = complement(converse(zero)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(complement(converse(zero)))),complement(converse(zero))) ),[0,0],$fot(top)]]) ).
cnf(refute_0_958,plain,
( converse(converse(complement(converse(zero)))) != complement(converse(zero))
| converse(top) = complement(converse(zero)) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(zero))),top) )],[refute_0_956,refute_0_957]) ).
cnf(refute_0_959,plain,
converse(top) = complement(converse(zero)),
inference(resolve,[$cnf( $equal(converse(converse(complement(converse(zero)))),complement(converse(zero))) )],[refute_0_478,refute_0_958]) ).
cnf(refute_0_960,plain,
converse(top) = join(meet(converse(top),meet(zero,converse(complement(converse(top))))),complement(join(complement(converse(top)),meet(zero,converse(complement(converse(top))))))),
inference(subst,[],[refute_0_73:[bind(X0,$fot(converse(top))),bind(X1,$fot(meet(zero,converse(complement(converse(top))))))]]) ).
cnf(refute_0_961,plain,
( zero != join(complement(converse(top)),meet(zero,converse(complement(converse(top)))))
| join(complement(converse(top)),meet(zero,converse(complement(converse(top))))) = zero ),
inference(subst,[],[refute_0_5:[bind(X,$fot(zero)),bind(Y,$fot(join(complement(converse(top)),meet(zero,converse(complement(converse(top)))))))]]) ).
cnf(refute_0_962,plain,
join(complement(converse(top)),meet(zero,converse(complement(converse(top))))) = zero,
inference(resolve,[$cnf( $equal(zero,join(complement(converse(top)),meet(zero,converse(complement(converse(top)))))) )],[refute_0_832,refute_0_961]) ).
cnf(refute_0_963,plain,
( converse(top) != join(meet(converse(top),meet(zero,converse(complement(converse(top))))),complement(join(complement(converse(top)),meet(zero,converse(complement(converse(top)))))))
| join(complement(converse(top)),meet(zero,converse(complement(converse(top))))) != zero
| converse(top) = join(meet(converse(top),meet(zero,converse(complement(converse(top))))),complement(zero)) ),
introduced(tautology,[equality,[$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_0_964,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( $equal(join(complement(converse(top)),meet(zero,converse(complement(converse(top))))),zero) )],[refute_0_962,refute_0_963]) ).
cnf(refute_0_965,plain,
converse(top) = join(meet(converse(top),meet(zero,converse(complement(converse(top))))),complement(zero)),
inference(resolve,[$cnf( $equal(converse(top),join(meet(converse(top),meet(zero,converse(complement(converse(top))))),complement(join(complement(converse(top)),meet(zero,converse(complement(converse(top)))))))) )],[refute_0_960,refute_0_964]) ).
cnf(refute_0_966,plain,
join(complement(zero),meet(converse(top),meet(zero,converse(complement(converse(top)))))) = join(complement(zero),meet(converse(top),meet(zero,converse(complement(converse(top)))))),
introduced(tautology,[refl,[$fot(join(complement(zero),meet(converse(top),meet(zero,converse(complement(converse(top)))))))]]) ).
cnf(refute_0_967,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_0_968,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( $equal(join(complement(zero),meet(converse(top),meet(zero,converse(complement(converse(top)))))),join(complement(zero),meet(converse(top),meet(zero,converse(complement(converse(top))))))) )],[refute_0_966,refute_0_967]) ).
cnf(refute_0_969,plain,
join(complement(zero),meet(converse(top),meet(zero,converse(complement(converse(top)))))) = join(top,meet(converse(top),meet(zero,converse(complement(converse(top)))))),
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_703,refute_0_968]) ).
cnf(refute_0_970,plain,
join(meet(converse(top),meet(zero,converse(complement(converse(top))))),complement(zero)) = join(complement(zero),meet(converse(top),meet(zero,converse(complement(converse(top)))))),
inference(subst,[],[refute_0_7:[bind(X0,$fot(complement(zero))),bind(X1,$fot(meet(converse(top),meet(zero,converse(complement(converse(top)))))))]]) ).
cnf(refute_0_971,plain,
( join(complement(zero),meet(converse(top),meet(zero,converse(complement(converse(top)))))) != join(top,meet(converse(top),meet(zero,converse(complement(converse(top))))))
| join(meet(converse(top),meet(zero,converse(complement(converse(top))))),complement(zero)) != join(complement(zero),meet(converse(top),meet(zero,converse(complement(converse(top))))))
| join(meet(converse(top),meet(zero,converse(complement(converse(top))))),complement(zero)) = join(top,meet(converse(top),meet(zero,converse(complement(converse(top)))))) ),
inference(subst,[],[refute_0_41:[bind(X,$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_0_972,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( $equal(join(meet(converse(top),meet(zero,converse(complement(converse(top))))),complement(zero)),join(complement(zero),meet(converse(top),meet(zero,converse(complement(converse(top))))))) )],[refute_0_970,refute_0_971]) ).
cnf(refute_0_973,plain,
join(meet(converse(top),meet(zero,converse(complement(converse(top))))),complement(zero)) = join(top,meet(converse(top),meet(zero,converse(complement(converse(top)))))),
inference(resolve,[$cnf( $equal(join(complement(zero),meet(converse(top),meet(zero,converse(complement(converse(top)))))),join(top,meet(converse(top),meet(zero,converse(complement(converse(top))))))) )],[refute_0_969,refute_0_972]) ).
cnf(refute_0_974,plain,
( converse(top) != join(meet(converse(top),meet(zero,converse(complement(converse(top))))),complement(zero))
| join(meet(converse(top),meet(zero,converse(complement(converse(top))))),complement(zero)) != join(top,meet(converse(top),meet(zero,converse(complement(converse(top))))))
| converse(top) = join(top,meet(converse(top),meet(zero,converse(complement(converse(top)))))) ),
introduced(tautology,[equality,[$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_0_975,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( $equal(join(meet(converse(top),meet(zero,converse(complement(converse(top))))),complement(zero)),join(top,meet(converse(top),meet(zero,converse(complement(converse(top))))))) )],[refute_0_973,refute_0_974]) ).
cnf(refute_0_976,plain,
converse(top) = join(top,meet(converse(top),meet(zero,converse(complement(converse(top)))))),
inference(resolve,[$cnf( $equal(converse(top),join(meet(converse(top),meet(zero,converse(complement(converse(top))))),complement(zero))) )],[refute_0_965,refute_0_975]) ).
cnf(refute_0_977,plain,
join(top,zero) = top,
inference(subst,[],[refute_0_930:[bind(X_42,$fot(top))]]) ).
cnf(refute_0_978,plain,
zero = join(meet(zero,X_51),complement(join(top,X_51))),
inference(subst,[],[refute_0_821:[bind(X_30,$fot(X_51))]]) ).
cnf(refute_0_979,plain,
meet(X_51,zero) = meet(zero,X_51),
inference(subst,[],[refute_0_142:[bind(X_6,$fot(X_51)),bind(X_7,$fot(zero))]]) ).
cnf(refute_0_980,plain,
( meet(X_51,zero) != meet(zero,X_51)
| meet(zero,X_51) = meet(X_51,zero) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(meet(X_51,zero))),bind(Y,$fot(meet(zero,X_51)))]]) ).
cnf(refute_0_981,plain,
meet(zero,X_51) = meet(X_51,zero),
inference(resolve,[$cnf( $equal(meet(X_51,zero),meet(zero,X_51)) )],[refute_0_979,refute_0_980]) ).
cnf(refute_0_982,plain,
( meet(zero,X_51) != meet(X_51,zero)
| zero != join(meet(zero,X_51),complement(join(top,X_51)))
| zero = join(meet(X_51,zero),complement(join(top,X_51))) ),
introduced(tautology,[equality,[$cnf( $equal(zero,join(meet(zero,X_51),complement(join(top,X_51)))) ),[1,0],$fot(meet(X_51,zero))]]) ).
cnf(refute_0_983,plain,
( zero != join(meet(zero,X_51),complement(join(top,X_51)))
| zero = join(meet(X_51,zero),complement(join(top,X_51))) ),
inference(resolve,[$cnf( $equal(meet(zero,X_51),meet(X_51,zero)) )],[refute_0_981,refute_0_982]) ).
cnf(refute_0_984,plain,
zero = join(meet(X_51,zero),complement(join(top,X_51))),
inference(resolve,[$cnf( $equal(zero,join(meet(zero,X_51),complement(join(top,X_51)))) )],[refute_0_978,refute_0_983]) ).
cnf(refute_0_985,plain,
join(meet(X_51,zero),zero) = meet(X_51,zero),
inference(subst,[],[refute_0_930:[bind(X_42,$fot(meet(X_51,zero)))]]) ).
cnf(refute_0_986,plain,
join(zero,complement(join(top,X_30))) = complement(join(top,X_30)),
inference(subst,[],[refute_0_468:[bind(X_29,$fot(complement(join(top,X_30))))]]) ).
cnf(refute_0_987,plain,
meet(zero,X_30) = zero,
inference(subst,[],[refute_0_920:[bind(X_36,$fot(X_30))]]) ).
cnf(refute_0_988,plain,
join(meet(zero,X_30),complement(join(top,X_30))) = join(meet(zero,X_30),complement(join(top,X_30))),
introduced(tautology,[refl,[$fot(join(meet(zero,X_30),complement(join(top,X_30))))]]) ).
cnf(refute_0_989,plain,
( join(meet(zero,X_30),complement(join(top,X_30))) != join(meet(zero,X_30),complement(join(top,X_30)))
| meet(zero,X_30) != zero
| join(meet(zero,X_30),complement(join(top,X_30))) = join(zero,complement(join(top,X_30))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(zero,X_30),complement(join(top,X_30))),join(meet(zero,X_30),complement(join(top,X_30)))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_990,plain,
( meet(zero,X_30) != zero
| join(meet(zero,X_30),complement(join(top,X_30))) = join(zero,complement(join(top,X_30))) ),
inference(resolve,[$cnf( $equal(join(meet(zero,X_30),complement(join(top,X_30))),join(meet(zero,X_30),complement(join(top,X_30)))) )],[refute_0_988,refute_0_989]) ).
cnf(refute_0_991,plain,
join(meet(zero,X_30),complement(join(top,X_30))) = join(zero,complement(join(top,X_30))),
inference(resolve,[$cnf( $equal(meet(zero,X_30),zero) )],[refute_0_987,refute_0_990]) ).
cnf(refute_0_992,plain,
( join(meet(zero,X_30),complement(join(top,X_30))) != join(zero,complement(join(top,X_30)))
| join(zero,complement(join(top,X_30))) != complement(join(top,X_30))
| join(meet(zero,X_30),complement(join(top,X_30))) = complement(join(top,X_30)) ),
inference(subst,[],[refute_0_41:[bind(X,$fot(join(meet(zero,X_30),complement(join(top,X_30))))),bind(Y,$fot(join(zero,complement(join(top,X_30))))),bind(Z,$fot(complement(join(top,X_30))))]]) ).
cnf(refute_0_993,plain,
( join(zero,complement(join(top,X_30))) != complement(join(top,X_30))
| join(meet(zero,X_30),complement(join(top,X_30))) = complement(join(top,X_30)) ),
inference(resolve,[$cnf( $equal(join(meet(zero,X_30),complement(join(top,X_30))),join(zero,complement(join(top,X_30)))) )],[refute_0_991,refute_0_992]) ).
cnf(refute_0_994,plain,
join(meet(zero,X_30),complement(join(top,X_30))) = complement(join(top,X_30)),
inference(resolve,[$cnf( $equal(join(zero,complement(join(top,X_30))),complement(join(top,X_30))) )],[refute_0_986,refute_0_993]) ).
cnf(refute_0_995,plain,
( join(meet(zero,X_30),complement(join(top,X_30))) != complement(join(top,X_30))
| zero != join(meet(zero,X_30),complement(join(top,X_30)))
| zero = complement(join(top,X_30)) ),
introduced(tautology,[equality,[$cnf( $equal(zero,join(meet(zero,X_30),complement(join(top,X_30)))) ),[1],$fot(complement(join(top,X_30)))]]) ).
cnf(refute_0_996,plain,
( zero != join(meet(zero,X_30),complement(join(top,X_30)))
| zero = complement(join(top,X_30)) ),
inference(resolve,[$cnf( $equal(join(meet(zero,X_30),complement(join(top,X_30))),complement(join(top,X_30))) )],[refute_0_994,refute_0_995]) ).
cnf(refute_0_997,plain,
zero = complement(join(top,X_30)),
inference(resolve,[$cnf( $equal(zero,join(meet(zero,X_30),complement(join(top,X_30)))) )],[refute_0_821,refute_0_996]) ).
cnf(refute_0_998,plain,
( zero != complement(join(top,X_30))
| complement(join(top,X_30)) = zero ),
inference(subst,[],[refute_0_5:[bind(X,$fot(zero)),bind(Y,$fot(complement(join(top,X_30))))]]) ).
cnf(refute_0_999,plain,
complement(join(top,X_30)) = zero,
inference(resolve,[$cnf( $equal(zero,complement(join(top,X_30))) )],[refute_0_997,refute_0_998]) ).
cnf(refute_0_1000,plain,
complement(join(top,X_51)) = zero,
inference(subst,[],[refute_0_999:[bind(X_30,$fot(X_51))]]) ).
cnf(refute_0_1001,plain,
join(meet(X_51,zero),complement(join(top,X_51))) = join(meet(X_51,zero),complement(join(top,X_51))),
introduced(tautology,[refl,[$fot(join(meet(X_51,zero),complement(join(top,X_51))))]]) ).
cnf(refute_0_1002,plain,
( complement(join(top,X_51)) != zero
| join(meet(X_51,zero),complement(join(top,X_51))) != join(meet(X_51,zero),complement(join(top,X_51)))
| join(meet(X_51,zero),complement(join(top,X_51))) = join(meet(X_51,zero),zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_51,zero),complement(join(top,X_51))),join(meet(X_51,zero),complement(join(top,X_51)))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_1003,plain,
( complement(join(top,X_51)) != zero
| join(meet(X_51,zero),complement(join(top,X_51))) = join(meet(X_51,zero),zero) ),
inference(resolve,[$cnf( $equal(join(meet(X_51,zero),complement(join(top,X_51))),join(meet(X_51,zero),complement(join(top,X_51)))) )],[refute_0_1001,refute_0_1002]) ).
cnf(refute_0_1004,plain,
join(meet(X_51,zero),complement(join(top,X_51))) = join(meet(X_51,zero),zero),
inference(resolve,[$cnf( $equal(complement(join(top,X_51)),zero) )],[refute_0_1000,refute_0_1003]) ).
cnf(refute_0_1005,plain,
( join(meet(X_51,zero),complement(join(top,X_51))) != join(meet(X_51,zero),zero)
| join(meet(X_51,zero),zero) != meet(X_51,zero)
| join(meet(X_51,zero),complement(join(top,X_51))) = meet(X_51,zero) ),
inference(subst,[],[refute_0_41:[bind(X,$fot(join(meet(X_51,zero),complement(join(top,X_51))))),bind(Y,$fot(join(meet(X_51,zero),zero))),bind(Z,$fot(meet(X_51,zero)))]]) ).
cnf(refute_0_1006,plain,
( join(meet(X_51,zero),zero) != meet(X_51,zero)
| join(meet(X_51,zero),complement(join(top,X_51))) = meet(X_51,zero) ),
inference(resolve,[$cnf( $equal(join(meet(X_51,zero),complement(join(top,X_51))),join(meet(X_51,zero),zero)) )],[refute_0_1004,refute_0_1005]) ).
cnf(refute_0_1007,plain,
join(meet(X_51,zero),complement(join(top,X_51))) = meet(X_51,zero),
inference(resolve,[$cnf( $equal(join(meet(X_51,zero),zero),meet(X_51,zero)) )],[refute_0_985,refute_0_1006]) ).
cnf(refute_0_1008,plain,
( join(meet(X_51,zero),complement(join(top,X_51))) != meet(X_51,zero)
| zero != join(meet(X_51,zero),complement(join(top,X_51)))
| zero = meet(X_51,zero) ),
introduced(tautology,[equality,[$cnf( $equal(zero,join(meet(X_51,zero),complement(join(top,X_51)))) ),[1],$fot(meet(X_51,zero))]]) ).
cnf(refute_0_1009,plain,
( zero != join(meet(X_51,zero),complement(join(top,X_51)))
| zero = meet(X_51,zero) ),
inference(resolve,[$cnf( $equal(join(meet(X_51,zero),complement(join(top,X_51))),meet(X_51,zero)) )],[refute_0_1007,refute_0_1008]) ).
cnf(refute_0_1010,plain,
zero = meet(X_51,zero),
inference(resolve,[$cnf( $equal(zero,join(meet(X_51,zero),complement(join(top,X_51)))) )],[refute_0_984,refute_0_1009]) ).
cnf(refute_0_1011,plain,
( zero != meet(X_51,zero)
| meet(X_51,zero) = zero ),
inference(subst,[],[refute_0_5:[bind(X,$fot(zero)),bind(Y,$fot(meet(X_51,zero)))]]) ).
cnf(refute_0_1012,plain,
meet(X_51,zero) = zero,
inference(resolve,[$cnf( $equal(zero,meet(X_51,zero)) )],[refute_0_1010,refute_0_1011]) ).
cnf(refute_0_1013,plain,
meet(converse(top),zero) = zero,
inference(subst,[],[refute_0_1012:[bind(X_51,$fot(converse(top)))]]) ).
cnf(refute_0_1014,plain,
meet(converse(top),meet(zero,converse(complement(converse(top))))) = meet(converse(top),meet(zero,converse(complement(converse(top))))),
introduced(tautology,[refl,[$fot(meet(converse(top),meet(zero,converse(complement(converse(top))))))]]) ).
cnf(refute_0_1015,plain,
( meet(converse(top),meet(zero,converse(complement(converse(top))))) != meet(converse(top),meet(zero,converse(complement(converse(top)))))
| meet(zero,converse(complement(converse(top)))) != zero
| meet(converse(top),meet(zero,converse(complement(converse(top))))) = meet(converse(top),zero) ),
introduced(tautology,[equality,[$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_0_1016,plain,
( meet(zero,converse(complement(converse(top)))) != zero
| meet(converse(top),meet(zero,converse(complement(converse(top))))) = meet(converse(top),zero) ),
inference(resolve,[$cnf( $equal(meet(converse(top),meet(zero,converse(complement(converse(top))))),meet(converse(top),meet(zero,converse(complement(converse(top)))))) )],[refute_0_1014,refute_0_1015]) ).
cnf(refute_0_1017,plain,
meet(converse(top),meet(zero,converse(complement(converse(top))))) = meet(converse(top),zero),
inference(resolve,[$cnf( $equal(meet(zero,converse(complement(converse(top)))),zero) )],[refute_0_932,refute_0_1016]) ).
cnf(refute_0_1018,plain,
( meet(converse(top),meet(zero,converse(complement(converse(top))))) != meet(converse(top),zero)
| meet(converse(top),zero) != zero
| meet(converse(top),meet(zero,converse(complement(converse(top))))) = zero ),
inference(subst,[],[refute_0_41:[bind(X,$fot(meet(converse(top),meet(zero,converse(complement(converse(top))))))),bind(Y,$fot(meet(converse(top),zero))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_1019,plain,
( meet(converse(top),zero) != zero
| meet(converse(top),meet(zero,converse(complement(converse(top))))) = zero ),
inference(resolve,[$cnf( $equal(meet(converse(top),meet(zero,converse(complement(converse(top))))),meet(converse(top),zero)) )],[refute_0_1017,refute_0_1018]) ).
cnf(refute_0_1020,plain,
meet(converse(top),meet(zero,converse(complement(converse(top))))) = zero,
inference(resolve,[$cnf( $equal(meet(converse(top),zero),zero) )],[refute_0_1013,refute_0_1019]) ).
cnf(refute_0_1021,plain,
join(top,meet(converse(top),meet(zero,converse(complement(converse(top)))))) = join(top,meet(converse(top),meet(zero,converse(complement(converse(top)))))),
introduced(tautology,[refl,[$fot(join(top,meet(converse(top),meet(zero,converse(complement(converse(top)))))))]]) ).
cnf(refute_0_1022,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_0_1023,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( $equal(join(top,meet(converse(top),meet(zero,converse(complement(converse(top)))))),join(top,meet(converse(top),meet(zero,converse(complement(converse(top))))))) )],[refute_0_1021,refute_0_1022]) ).
cnf(refute_0_1024,plain,
join(top,meet(converse(top),meet(zero,converse(complement(converse(top)))))) = join(top,zero),
inference(resolve,[$cnf( $equal(meet(converse(top),meet(zero,converse(complement(converse(top))))),zero) )],[refute_0_1020,refute_0_1023]) ).
cnf(refute_0_1025,plain,
( join(top,meet(converse(top),meet(zero,converse(complement(converse(top)))))) != join(top,zero)
| join(top,zero) != top
| join(top,meet(converse(top),meet(zero,converse(complement(converse(top)))))) = top ),
inference(subst,[],[refute_0_41:[bind(X,$fot(join(top,meet(converse(top),meet(zero,converse(complement(converse(top)))))))),bind(Y,$fot(join(top,zero))),bind(Z,$fot(top))]]) ).
cnf(refute_0_1026,plain,
( join(top,zero) != top
| join(top,meet(converse(top),meet(zero,converse(complement(converse(top)))))) = top ),
inference(resolve,[$cnf( $equal(join(top,meet(converse(top),meet(zero,converse(complement(converse(top)))))),join(top,zero)) )],[refute_0_1024,refute_0_1025]) ).
cnf(refute_0_1027,plain,
join(top,meet(converse(top),meet(zero,converse(complement(converse(top)))))) = top,
inference(resolve,[$cnf( $equal(join(top,zero),top) )],[refute_0_977,refute_0_1026]) ).
cnf(refute_0_1028,plain,
( converse(top) != join(top,meet(converse(top),meet(zero,converse(complement(converse(top))))))
| join(top,meet(converse(top),meet(zero,converse(complement(converse(top)))))) != top
| converse(top) = top ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(top),top) ),[0],$fot(join(top,meet(converse(top),meet(zero,converse(complement(converse(top)))))))]]) ).
cnf(refute_0_1029,plain,
( converse(top) != join(top,meet(converse(top),meet(zero,converse(complement(converse(top))))))
| converse(top) = top ),
inference(resolve,[$cnf( $equal(join(top,meet(converse(top),meet(zero,converse(complement(converse(top)))))),top) )],[refute_0_1027,refute_0_1028]) ).
cnf(refute_0_1030,plain,
converse(top) = top,
inference(resolve,[$cnf( $equal(converse(top),join(top,meet(converse(top),meet(zero,converse(complement(converse(top))))))) )],[refute_0_976,refute_0_1029]) ).
cnf(refute_0_1031,plain,
( converse(top) != complement(converse(zero))
| converse(top) != top
| top = complement(converse(zero)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(top),complement(converse(zero))) ),[0],$fot(top)]]) ).
cnf(refute_0_1032,plain,
( converse(top) != complement(converse(zero))
| top = complement(converse(zero)) ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_1030,refute_0_1031]) ).
cnf(refute_0_1033,plain,
top = complement(converse(zero)),
inference(resolve,[$cnf( $equal(converse(top),complement(converse(zero))) )],[refute_0_959,refute_0_1032]) ).
cnf(refute_0_1034,plain,
( top != complement(converse(zero))
| complement(converse(zero)) = top ),
inference(subst,[],[refute_0_5:[bind(X,$fot(top)),bind(Y,$fot(complement(converse(zero))))]]) ).
cnf(refute_0_1035,plain,
complement(converse(zero)) = top,
inference(resolve,[$cnf( $equal(top,complement(converse(zero))) )],[refute_0_1033,refute_0_1034]) ).
cnf(refute_0_1036,plain,
( complement(converse(zero)) != top
| zero != meet(converse(zero),complement(converse(zero)))
| zero = meet(converse(zero),top) ),
introduced(tautology,[equality,[$cnf( $equal(zero,meet(converse(zero),complement(converse(zero)))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_1037,plain,
( zero != meet(converse(zero),complement(converse(zero)))
| zero = meet(converse(zero),top) ),
inference(resolve,[$cnf( $equal(complement(converse(zero)),top) )],[refute_0_1035,refute_0_1036]) ).
cnf(refute_0_1038,plain,
zero = meet(converse(zero),top),
inference(resolve,[$cnf( $equal(zero,meet(converse(zero),complement(converse(zero)))) )],[refute_0_477,refute_0_1037]) ).
cnf(refute_0_1039,plain,
meet(converse(zero),top) = converse(zero),
inference(subst,[],[refute_0_888:[bind(X0,$fot(converse(zero)))]]) ).
cnf(refute_0_1040,plain,
( meet(converse(zero),top) != converse(zero)
| zero != meet(converse(zero),top)
| zero = converse(zero) ),
introduced(tautology,[equality,[$cnf( $equal(zero,meet(converse(zero),top)) ),[1],$fot(converse(zero))]]) ).
cnf(refute_0_1041,plain,
( zero != meet(converse(zero),top)
| zero = converse(zero) ),
inference(resolve,[$cnf( $equal(meet(converse(zero),top),converse(zero)) )],[refute_0_1039,refute_0_1040]) ).
cnf(refute_0_1042,plain,
zero = converse(zero),
inference(resolve,[$cnf( $equal(zero,meet(converse(zero),top)) )],[refute_0_1038,refute_0_1041]) ).
cnf(refute_0_1043,plain,
( zero != converse(zero)
| converse(zero) = zero ),
inference(subst,[],[refute_0_5:[bind(X,$fot(zero)),bind(Y,$fot(converse(zero)))]]) ).
cnf(refute_0_1044,plain,
converse(zero) = zero,
inference(resolve,[$cnf( $equal(zero,converse(zero)) )],[refute_0_1042,refute_0_1043]) ).
cnf(refute_0_1045,plain,
( converse(zero) != composition(converse(complement(composition(X_88,top))),converse(converse(X_88)))
| converse(zero) != zero
| zero = composition(converse(complement(composition(X_88,top))),converse(converse(X_88))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(zero),composition(converse(complement(composition(X_88,top))),converse(converse(X_88)))) ),[0],$fot(zero)]]) ).
cnf(refute_0_1046,plain,
( converse(zero) != composition(converse(complement(composition(X_88,top))),converse(converse(X_88)))
| zero = composition(converse(complement(composition(X_88,top))),converse(converse(X_88))) ),
inference(resolve,[$cnf( $equal(converse(zero),zero) )],[refute_0_1044,refute_0_1045]) ).
cnf(refute_0_1047,plain,
converse(composition(converse(X_88),complement(composition(X_88,top)))) = composition(converse(complement(composition(X_88,top))),X_88),
inference(subst,[],[refute_0_311:[bind(X0,$fot(X_88)),bind(X_17,$fot(complement(composition(X_88,top))))]]) ).
cnf(refute_0_1048,plain,
( converse(composition(X0,X1)) != composition(converse(X1),converse(X0))
| composition(converse(X1),converse(X0)) = converse(composition(X0,X1)) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(converse(composition(X0,X1)))),bind(Y,$fot(composition(converse(X1),converse(X0))))]]) ).
cnf(refute_0_1049,plain,
composition(converse(X1),converse(X0)) = converse(composition(X0,X1)),
inference(resolve,[$cnf( $equal(converse(composition(X0,X1)),composition(converse(X1),converse(X0))) )],[refute_0_15,refute_0_1048]) ).
cnf(refute_0_1050,plain,
composition(converse(complement(composition(X_88,top))),converse(converse(X_88))) = converse(composition(converse(X_88),complement(composition(X_88,top)))),
inference(subst,[],[refute_0_1049:[bind(X0,$fot(converse(X_88))),bind(X1,$fot(complement(composition(X_88,top))))]]) ).
cnf(refute_0_1051,plain,
( composition(converse(complement(composition(X_88,top))),converse(converse(X_88))) != converse(composition(converse(X_88),complement(composition(X_88,top))))
| converse(composition(converse(X_88),complement(composition(X_88,top)))) != composition(converse(complement(composition(X_88,top))),X_88)
| composition(converse(complement(composition(X_88,top))),converse(converse(X_88))) = composition(converse(complement(composition(X_88,top))),X_88) ),
inference(subst,[],[refute_0_41:[bind(X,$fot(composition(converse(complement(composition(X_88,top))),converse(converse(X_88))))),bind(Y,$fot(converse(composition(converse(X_88),complement(composition(X_88,top)))))),bind(Z,$fot(composition(converse(complement(composition(X_88,top))),X_88)))]]) ).
cnf(refute_0_1052,plain,
( converse(composition(converse(X_88),complement(composition(X_88,top)))) != composition(converse(complement(composition(X_88,top))),X_88)
| composition(converse(complement(composition(X_88,top))),converse(converse(X_88))) = composition(converse(complement(composition(X_88,top))),X_88) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(composition(X_88,top))),converse(converse(X_88))),converse(composition(converse(X_88),complement(composition(X_88,top))))) )],[refute_0_1050,refute_0_1051]) ).
cnf(refute_0_1053,plain,
composition(converse(complement(composition(X_88,top))),converse(converse(X_88))) = composition(converse(complement(composition(X_88,top))),X_88),
inference(resolve,[$cnf( $equal(converse(composition(converse(X_88),complement(composition(X_88,top)))),composition(converse(complement(composition(X_88,top))),X_88)) )],[refute_0_1047,refute_0_1052]) ).
cnf(refute_0_1054,plain,
( composition(converse(complement(composition(X_88,top))),converse(converse(X_88))) != composition(converse(complement(composition(X_88,top))),X_88)
| zero != composition(converse(complement(composition(X_88,top))),converse(converse(X_88)))
| zero = composition(converse(complement(composition(X_88,top))),X_88) ),
introduced(tautology,[equality,[$cnf( $equal(zero,composition(converse(complement(composition(X_88,top))),converse(converse(X_88)))) ),[1],$fot(composition(converse(complement(composition(X_88,top))),X_88))]]) ).
cnf(refute_0_1055,plain,
( zero != composition(converse(complement(composition(X_88,top))),converse(converse(X_88)))
| zero = composition(converse(complement(composition(X_88,top))),X_88) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(composition(X_88,top))),converse(converse(X_88))),composition(converse(complement(composition(X_88,top))),X_88)) )],[refute_0_1053,refute_0_1054]) ).
cnf(refute_0_1056,plain,
( converse(zero) != composition(converse(complement(composition(X_88,top))),converse(converse(X_88)))
| zero = composition(converse(complement(composition(X_88,top))),X_88) ),
inference(resolve,[$cnf( $equal(zero,composition(converse(complement(composition(X_88,top))),converse(converse(X_88)))) )],[refute_0_1046,refute_0_1055]) ).
cnf(refute_0_1057,plain,
zero = composition(converse(complement(composition(X_88,top))),X_88),
inference(resolve,[$cnf( $equal(converse(zero),composition(converse(complement(composition(X_88,top))),converse(converse(X_88)))) )],[refute_0_476,refute_0_1056]) ).
cnf(refute_0_1058,plain,
zero = composition(converse(complement(composition(X_146,top))),X_146),
inference(subst,[],[refute_0_1057:[bind(X_88,$fot(X_146))]]) ).
cnf(refute_0_1059,plain,
( zero != composition(converse(complement(composition(X_146,top))),X_146)
| composition(converse(complement(composition(X_146,top))),X_146) = zero ),
inference(subst,[],[refute_0_5:[bind(X,$fot(zero)),bind(Y,$fot(composition(converse(complement(composition(X_146,top))),X_146)))]]) ).
cnf(refute_0_1060,plain,
composition(converse(complement(composition(X_146,top))),X_146) = zero,
inference(resolve,[$cnf( $equal(zero,composition(converse(complement(composition(X_146,top))),X_146)) )],[refute_0_1058,refute_0_1059]) ).
cnf(refute_0_1061,plain,
( composition(converse(complement(composition(X_146,top))),X_146) != zero
| composition(converse(complement(composition(X_146,top))),composition(X_146,X_147)) != composition(composition(converse(complement(composition(X_146,top))),X_146),X_147)
| composition(converse(complement(composition(X_146,top))),composition(X_146,X_147)) = composition(zero,X_147) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(complement(composition(X_146,top))),composition(X_146,X_147)),composition(composition(converse(complement(composition(X_146,top))),X_146),X_147)) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_1062,plain,
( composition(converse(complement(composition(X_146,top))),composition(X_146,X_147)) != composition(composition(converse(complement(composition(X_146,top))),X_146),X_147)
| composition(converse(complement(composition(X_146,top))),composition(X_146,X_147)) = composition(zero,X_147) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(composition(X_146,top))),X_146),zero) )],[refute_0_1060,refute_0_1061]) ).
cnf(refute_0_1063,plain,
composition(converse(complement(composition(X_146,top))),composition(X_146,X_147)) = composition(zero,X_147),
inference(resolve,[$cnf( $equal(composition(converse(complement(composition(X_146,top))),composition(X_146,X_147)),composition(composition(converse(complement(composition(X_146,top))),X_146),X_147)) )],[refute_0_14,refute_0_1062]) ).
cnf(refute_0_1064,plain,
converse(composition(converse(X0),complement(composition(top,top)))) = composition(converse(complement(composition(top,top))),X0),
inference(subst,[],[refute_0_311:[bind(X_17,$fot(complement(composition(top,top))))]]) ).
cnf(refute_0_1065,plain,
composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(canonicalize,[],[normalize_0_27]) ).
cnf(refute_0_1066,plain,
composition(join(top,X1),complement(composition(top,top))) = join(composition(top,complement(composition(top,top))),composition(X1,complement(composition(top,top)))),
inference(subst,[],[refute_0_1065:[bind(X0,$fot(top)),bind(X2,$fot(complement(composition(top,top))))]]) ).
cnf(refute_0_1067,plain,
composition(converse(top),complement(composition(top,top))) = zero,
inference(subst,[],[refute_0_472:[bind(X_74,$fot(top))]]) ).
cnf(refute_0_1068,plain,
( composition(converse(top),complement(composition(top,top))) != zero
| converse(top) != top
| composition(top,complement(composition(top,top))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(top),complement(composition(top,top))),zero) ),[0,0],$fot(top)]]) ).
cnf(refute_0_1069,plain,
( composition(converse(top),complement(composition(top,top))) != zero
| composition(top,complement(composition(top,top))) = zero ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_1030,refute_0_1068]) ).
cnf(refute_0_1070,plain,
composition(top,complement(composition(top,top))) = zero,
inference(resolve,[$cnf( $equal(composition(converse(top),complement(composition(top,top))),zero) )],[refute_0_1067,refute_0_1069]) ).
cnf(refute_0_1071,plain,
( composition(join(top,X1),complement(composition(top,top))) != join(composition(top,complement(composition(top,top))),composition(X1,complement(composition(top,top))))
| composition(top,complement(composition(top,top))) != zero
| composition(join(top,X1),complement(composition(top,top))) = join(zero,composition(X1,complement(composition(top,top)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(top,X1),complement(composition(top,top))),join(composition(top,complement(composition(top,top))),composition(X1,complement(composition(top,top))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_1072,plain,
( composition(join(top,X1),complement(composition(top,top))) != join(composition(top,complement(composition(top,top))),composition(X1,complement(composition(top,top))))
| composition(join(top,X1),complement(composition(top,top))) = join(zero,composition(X1,complement(composition(top,top)))) ),
inference(resolve,[$cnf( $equal(composition(top,complement(composition(top,top))),zero) )],[refute_0_1070,refute_0_1071]) ).
cnf(refute_0_1073,plain,
composition(join(top,X1),complement(composition(top,top))) = join(zero,composition(X1,complement(composition(top,top)))),
inference(resolve,[$cnf( $equal(composition(join(top,X1),complement(composition(top,top))),join(composition(top,complement(composition(top,top))),composition(X1,complement(composition(top,top))))) )],[refute_0_1066,refute_0_1072]) ).
cnf(refute_0_1074,plain,
join(top,X1) = join(X1,top),
inference(subst,[],[refute_0_2:[bind(X0,$fot(top))]]) ).
cnf(refute_0_1075,plain,
top = join(join(X_82,top),complement(join(X_82,top))),
inference(subst,[],[refute_0_27:[bind(X0,$fot(join(X_82,top)))]]) ).
cnf(refute_0_1076,plain,
join(X_51,top) = join(top,X_51),
inference(subst,[],[refute_0_2:[bind(X0,$fot(X_51)),bind(X1,$fot(top))]]) ).
cnf(refute_0_1077,plain,
( join(X_51,top) != join(top,X_51)
| join(top,X_51) = join(X_51,top) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(join(X_51,top))),bind(Y,$fot(join(top,X_51)))]]) ).
cnf(refute_0_1078,plain,
join(top,X_51) = join(X_51,top),
inference(resolve,[$cnf( $equal(join(X_51,top),join(top,X_51)) )],[refute_0_1076,refute_0_1077]) ).
cnf(refute_0_1079,plain,
( join(top,X_51) != join(X_51,top)
| zero != join(meet(zero,X_51),complement(join(top,X_51)))
| zero = join(meet(zero,X_51),complement(join(X_51,top))) ),
introduced(tautology,[equality,[$cnf( $equal(zero,join(meet(zero,X_51),complement(join(top,X_51)))) ),[1,1,0],$fot(join(X_51,top))]]) ).
cnf(refute_0_1080,plain,
( zero != join(meet(zero,X_51),complement(join(top,X_51)))
| zero = join(meet(zero,X_51),complement(join(X_51,top))) ),
inference(resolve,[$cnf( $equal(join(top,X_51),join(X_51,top)) )],[refute_0_1078,refute_0_1079]) ).
cnf(refute_0_1081,plain,
zero = join(meet(zero,X_51),complement(join(X_51,top))),
inference(resolve,[$cnf( $equal(zero,join(meet(zero,X_51),complement(join(top,X_51)))) )],[refute_0_978,refute_0_1080]) ).
cnf(refute_0_1082,plain,
join(zero,complement(join(X_51,top))) = complement(join(X_51,top)),
inference(subst,[],[refute_0_468:[bind(X_29,$fot(complement(join(X_51,top))))]]) ).
cnf(refute_0_1083,plain,
meet(zero,X_51) = zero,
inference(subst,[],[refute_0_920:[bind(X_36,$fot(X_51))]]) ).
cnf(refute_0_1084,plain,
join(meet(zero,X_51),complement(join(X_51,top))) = join(meet(zero,X_51),complement(join(X_51,top))),
introduced(tautology,[refl,[$fot(join(meet(zero,X_51),complement(join(X_51,top))))]]) ).
cnf(refute_0_1085,plain,
( join(meet(zero,X_51),complement(join(X_51,top))) != join(meet(zero,X_51),complement(join(X_51,top)))
| meet(zero,X_51) != zero
| join(meet(zero,X_51),complement(join(X_51,top))) = join(zero,complement(join(X_51,top))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(zero,X_51),complement(join(X_51,top))),join(meet(zero,X_51),complement(join(X_51,top)))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_1086,plain,
( meet(zero,X_51) != zero
| join(meet(zero,X_51),complement(join(X_51,top))) = join(zero,complement(join(X_51,top))) ),
inference(resolve,[$cnf( $equal(join(meet(zero,X_51),complement(join(X_51,top))),join(meet(zero,X_51),complement(join(X_51,top)))) )],[refute_0_1084,refute_0_1085]) ).
cnf(refute_0_1087,plain,
join(meet(zero,X_51),complement(join(X_51,top))) = join(zero,complement(join(X_51,top))),
inference(resolve,[$cnf( $equal(meet(zero,X_51),zero) )],[refute_0_1083,refute_0_1086]) ).
cnf(refute_0_1088,plain,
( join(meet(zero,X_51),complement(join(X_51,top))) != join(zero,complement(join(X_51,top)))
| join(zero,complement(join(X_51,top))) != complement(join(X_51,top))
| join(meet(zero,X_51),complement(join(X_51,top))) = complement(join(X_51,top)) ),
inference(subst,[],[refute_0_41:[bind(X,$fot(join(meet(zero,X_51),complement(join(X_51,top))))),bind(Y,$fot(join(zero,complement(join(X_51,top))))),bind(Z,$fot(complement(join(X_51,top))))]]) ).
cnf(refute_0_1089,plain,
( join(zero,complement(join(X_51,top))) != complement(join(X_51,top))
| join(meet(zero,X_51),complement(join(X_51,top))) = complement(join(X_51,top)) ),
inference(resolve,[$cnf( $equal(join(meet(zero,X_51),complement(join(X_51,top))),join(zero,complement(join(X_51,top)))) )],[refute_0_1087,refute_0_1088]) ).
cnf(refute_0_1090,plain,
join(meet(zero,X_51),complement(join(X_51,top))) = complement(join(X_51,top)),
inference(resolve,[$cnf( $equal(join(zero,complement(join(X_51,top))),complement(join(X_51,top))) )],[refute_0_1082,refute_0_1089]) ).
cnf(refute_0_1091,plain,
( join(meet(zero,X_51),complement(join(X_51,top))) != complement(join(X_51,top))
| zero != join(meet(zero,X_51),complement(join(X_51,top)))
| zero = complement(join(X_51,top)) ),
introduced(tautology,[equality,[$cnf( $equal(zero,join(meet(zero,X_51),complement(join(X_51,top)))) ),[1],$fot(complement(join(X_51,top)))]]) ).
cnf(refute_0_1092,plain,
( zero != join(meet(zero,X_51),complement(join(X_51,top)))
| zero = complement(join(X_51,top)) ),
inference(resolve,[$cnf( $equal(join(meet(zero,X_51),complement(join(X_51,top))),complement(join(X_51,top))) )],[refute_0_1090,refute_0_1091]) ).
cnf(refute_0_1093,plain,
zero = complement(join(X_51,top)),
inference(resolve,[$cnf( $equal(zero,join(meet(zero,X_51),complement(join(X_51,top)))) )],[refute_0_1081,refute_0_1092]) ).
cnf(refute_0_1094,plain,
zero = complement(join(X_82,top)),
inference(subst,[],[refute_0_1093:[bind(X_51,$fot(X_82))]]) ).
cnf(refute_0_1095,plain,
( zero != complement(join(X_82,top))
| complement(join(X_82,top)) = zero ),
inference(subst,[],[refute_0_5:[bind(X,$fot(zero)),bind(Y,$fot(complement(join(X_82,top))))]]) ).
cnf(refute_0_1096,plain,
complement(join(X_82,top)) = zero,
inference(resolve,[$cnf( $equal(zero,complement(join(X_82,top))) )],[refute_0_1094,refute_0_1095]) ).
cnf(refute_0_1097,plain,
( complement(join(X_82,top)) != zero
| top != join(join(X_82,top),complement(join(X_82,top)))
| top = join(join(X_82,top),zero) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(join(X_82,top),complement(join(X_82,top)))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_1098,plain,
( top != join(join(X_82,top),complement(join(X_82,top)))
| top = join(join(X_82,top),zero) ),
inference(resolve,[$cnf( $equal(complement(join(X_82,top)),zero) )],[refute_0_1096,refute_0_1097]) ).
cnf(refute_0_1099,plain,
top = join(join(X_82,top),zero),
inference(resolve,[$cnf( $equal(top,join(join(X_82,top),complement(join(X_82,top)))) )],[refute_0_1075,refute_0_1098]) ).
cnf(refute_0_1100,plain,
join(join(X_82,top),zero) = join(X_82,top),
inference(subst,[],[refute_0_930:[bind(X_42,$fot(join(X_82,top)))]]) ).
cnf(refute_0_1101,plain,
( join(join(X_82,top),zero) != join(X_82,top)
| top != join(join(X_82,top),zero)
| top = join(X_82,top) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(join(X_82,top),zero)) ),[1],$fot(join(X_82,top))]]) ).
cnf(refute_0_1102,plain,
( top != join(join(X_82,top),zero)
| top = join(X_82,top) ),
inference(resolve,[$cnf( $equal(join(join(X_82,top),zero),join(X_82,top)) )],[refute_0_1100,refute_0_1101]) ).
cnf(refute_0_1103,plain,
top = join(X_82,top),
inference(resolve,[$cnf( $equal(top,join(join(X_82,top),zero)) )],[refute_0_1099,refute_0_1102]) ).
cnf(refute_0_1104,plain,
top = join(X1,top),
inference(subst,[],[refute_0_1103:[bind(X_82,$fot(X1))]]) ).
cnf(refute_0_1105,plain,
( top != join(X1,top)
| join(X1,top) = top ),
inference(subst,[],[refute_0_5:[bind(X,$fot(top)),bind(Y,$fot(join(X1,top)))]]) ).
cnf(refute_0_1106,plain,
join(X1,top) = top,
inference(resolve,[$cnf( $equal(top,join(X1,top)) )],[refute_0_1104,refute_0_1105]) ).
cnf(refute_0_1107,plain,
( join(X1,top) != top
| join(top,X1) != join(X1,top)
| join(top,X1) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(top,X1),join(X1,top)) ),[1],$fot(top)]]) ).
cnf(refute_0_1108,plain,
( join(top,X1) != join(X1,top)
| join(top,X1) = top ),
inference(resolve,[$cnf( $equal(join(X1,top),top) )],[refute_0_1106,refute_0_1107]) ).
cnf(refute_0_1109,plain,
join(top,X1) = top,
inference(resolve,[$cnf( $equal(join(top,X1),join(X1,top)) )],[refute_0_1074,refute_0_1108]) ).
cnf(refute_0_1110,plain,
composition(join(top,X1),complement(composition(top,top))) = composition(join(top,X1),complement(composition(top,top))),
introduced(tautology,[refl,[$fot(composition(join(top,X1),complement(composition(top,top))))]]) ).
cnf(refute_0_1111,plain,
( composition(join(top,X1),complement(composition(top,top))) != composition(join(top,X1),complement(composition(top,top)))
| join(top,X1) != top
| composition(join(top,X1),complement(composition(top,top))) = composition(top,complement(composition(top,top))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(top,X1),complement(composition(top,top))),composition(join(top,X1),complement(composition(top,top)))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_1112,plain,
( join(top,X1) != top
| composition(join(top,X1),complement(composition(top,top))) = composition(top,complement(composition(top,top))) ),
inference(resolve,[$cnf( $equal(composition(join(top,X1),complement(composition(top,top))),composition(join(top,X1),complement(composition(top,top)))) )],[refute_0_1110,refute_0_1111]) ).
cnf(refute_0_1113,plain,
composition(join(top,X1),complement(composition(top,top))) = composition(top,complement(composition(top,top))),
inference(resolve,[$cnf( $equal(join(top,X1),top) )],[refute_0_1109,refute_0_1112]) ).
cnf(refute_0_1114,plain,
( composition(join(top,X1),complement(composition(top,top))) != composition(top,complement(composition(top,top)))
| composition(top,complement(composition(top,top))) != zero
| composition(join(top,X1),complement(composition(top,top))) = zero ),
inference(subst,[],[refute_0_41:[bind(X,$fot(composition(join(top,X1),complement(composition(top,top))))),bind(Y,$fot(composition(top,complement(composition(top,top))))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_1115,plain,
( composition(top,complement(composition(top,top))) != zero
| composition(join(top,X1),complement(composition(top,top))) = zero ),
inference(resolve,[$cnf( $equal(composition(join(top,X1),complement(composition(top,top))),composition(top,complement(composition(top,top)))) )],[refute_0_1113,refute_0_1114]) ).
cnf(refute_0_1116,plain,
composition(join(top,X1),complement(composition(top,top))) = zero,
inference(resolve,[$cnf( $equal(composition(top,complement(composition(top,top))),zero) )],[refute_0_1070,refute_0_1115]) ).
cnf(refute_0_1117,plain,
( composition(join(top,X1),complement(composition(top,top))) != join(zero,composition(X1,complement(composition(top,top))))
| composition(join(top,X1),complement(composition(top,top))) != zero
| zero = join(zero,composition(X1,complement(composition(top,top)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(top,X1),complement(composition(top,top))),join(zero,composition(X1,complement(composition(top,top))))) ),[0],$fot(zero)]]) ).
cnf(refute_0_1118,plain,
( composition(join(top,X1),complement(composition(top,top))) != join(zero,composition(X1,complement(composition(top,top))))
| zero = join(zero,composition(X1,complement(composition(top,top)))) ),
inference(resolve,[$cnf( $equal(composition(join(top,X1),complement(composition(top,top))),zero) )],[refute_0_1116,refute_0_1117]) ).
cnf(refute_0_1119,plain,
join(zero,composition(X1,complement(composition(top,top)))) = composition(X1,complement(composition(top,top))),
inference(subst,[],[refute_0_468:[bind(X_29,$fot(composition(X1,complement(composition(top,top)))))]]) ).
cnf(refute_0_1120,plain,
( join(zero,composition(X1,complement(composition(top,top)))) != composition(X1,complement(composition(top,top)))
| zero != join(zero,composition(X1,complement(composition(top,top))))
| zero = composition(X1,complement(composition(top,top))) ),
introduced(tautology,[equality,[$cnf( $equal(zero,join(zero,composition(X1,complement(composition(top,top))))) ),[1],$fot(composition(X1,complement(composition(top,top))))]]) ).
cnf(refute_0_1121,plain,
( zero != join(zero,composition(X1,complement(composition(top,top))))
| zero = composition(X1,complement(composition(top,top))) ),
inference(resolve,[$cnf( $equal(join(zero,composition(X1,complement(composition(top,top)))),composition(X1,complement(composition(top,top)))) )],[refute_0_1119,refute_0_1120]) ).
cnf(refute_0_1122,plain,
( composition(join(top,X1),complement(composition(top,top))) != join(zero,composition(X1,complement(composition(top,top))))
| zero = composition(X1,complement(composition(top,top))) ),
inference(resolve,[$cnf( $equal(zero,join(zero,composition(X1,complement(composition(top,top))))) )],[refute_0_1118,refute_0_1121]) ).
cnf(refute_0_1123,plain,
zero = composition(X1,complement(composition(top,top))),
inference(resolve,[$cnf( $equal(composition(join(top,X1),complement(composition(top,top))),join(zero,composition(X1,complement(composition(top,top))))) )],[refute_0_1073,refute_0_1122]) ).
cnf(refute_0_1124,plain,
zero = composition(converse(X0),complement(composition(top,top))),
inference(subst,[],[refute_0_1123:[bind(X1,$fot(converse(X0)))]]) ).
cnf(refute_0_1125,plain,
( zero != composition(converse(X0),complement(composition(top,top)))
| composition(converse(X0),complement(composition(top,top))) = zero ),
inference(subst,[],[refute_0_5:[bind(X,$fot(zero)),bind(Y,$fot(composition(converse(X0),complement(composition(top,top)))))]]) ).
cnf(refute_0_1126,plain,
composition(converse(X0),complement(composition(top,top))) = zero,
inference(resolve,[$cnf( $equal(zero,composition(converse(X0),complement(composition(top,top)))) )],[refute_0_1124,refute_0_1125]) ).
cnf(refute_0_1127,plain,
( composition(converse(X0),complement(composition(top,top))) != zero
| converse(composition(converse(X0),complement(composition(top,top)))) != composition(converse(complement(composition(top,top))),X0)
| converse(zero) = composition(converse(complement(composition(top,top))),X0) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(X0),complement(composition(top,top)))),composition(converse(complement(composition(top,top))),X0)) ),[0,0],$fot(zero)]]) ).
cnf(refute_0_1128,plain,
( converse(composition(converse(X0),complement(composition(top,top)))) != composition(converse(complement(composition(top,top))),X0)
| converse(zero) = composition(converse(complement(composition(top,top))),X0) ),
inference(resolve,[$cnf( $equal(composition(converse(X0),complement(composition(top,top))),zero) )],[refute_0_1126,refute_0_1127]) ).
cnf(refute_0_1129,plain,
converse(zero) = composition(converse(complement(composition(top,top))),X0),
inference(resolve,[$cnf( $equal(converse(composition(converse(X0),complement(composition(top,top)))),composition(converse(complement(composition(top,top))),X0)) )],[refute_0_1064,refute_0_1128]) ).
cnf(refute_0_1130,plain,
( converse(zero) != composition(converse(complement(composition(top,top))),X0)
| converse(zero) != zero
| zero = composition(converse(complement(composition(top,top))),X0) ),
introduced(tautology,[equality,[$cnf( $equal(converse(zero),composition(converse(complement(composition(top,top))),X0)) ),[0],$fot(zero)]]) ).
cnf(refute_0_1131,plain,
( converse(zero) != composition(converse(complement(composition(top,top))),X0)
| zero = composition(converse(complement(composition(top,top))),X0) ),
inference(resolve,[$cnf( $equal(converse(zero),zero) )],[refute_0_1044,refute_0_1130]) ).
cnf(refute_0_1132,plain,
zero = composition(converse(complement(composition(top,top))),X0),
inference(resolve,[$cnf( $equal(converse(zero),composition(converse(complement(composition(top,top))),X0)) )],[refute_0_1129,refute_0_1131]) ).
cnf(refute_0_1133,plain,
join(complement(X_75),composition(converse(join(one,one)),complement(composition(join(one,one),X_75)))) = complement(X_75),
inference(subst,[],[refute_0_11:[bind(X0,$fot(join(one,one))),bind(X1,$fot(X_75))]]) ).
cnf(refute_0_1134,plain,
converse(join(X_11,converse(X0))) = join(converse(X_11),converse(converse(X0))),
inference(subst,[],[refute_0_480:[bind(X0,$fot(X_11)),bind(X1,$fot(converse(X0)))]]) ).
cnf(refute_0_1135,plain,
( converse(converse(X0)) != X0
| converse(join(X_11,converse(X0))) != join(converse(X_11),converse(converse(X0)))
| converse(join(X_11,converse(X0))) = join(converse(X_11),X0) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X_11,converse(X0))),join(converse(X_11),converse(converse(X0)))) ),[1,1],$fot(X0)]]) ).
cnf(refute_0_1136,plain,
( converse(join(X_11,converse(X0))) != join(converse(X_11),converse(converse(X0)))
| converse(join(X_11,converse(X0))) = join(converse(X_11),X0) ),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_0_308,refute_0_1135]) ).
cnf(refute_0_1137,plain,
converse(join(X_11,converse(X0))) = join(converse(X_11),X0),
inference(resolve,[$cnf( $equal(converse(join(X_11,converse(X0))),join(converse(X_11),converse(converse(X0)))) )],[refute_0_1134,refute_0_1136]) ).
cnf(refute_0_1138,plain,
converse(join(X_11,converse(one))) = join(converse(X_11),one),
inference(subst,[],[refute_0_1137:[bind(X0,$fot(one))]]) ).
cnf(refute_0_1139,plain,
( converse(join(X_11,converse(one))) != join(converse(X_11),one)
| converse(one) != one
| converse(join(X_11,one)) = join(converse(X_11),one) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X_11,converse(one))),join(converse(X_11),one)) ),[0,0,1],$fot(one)]]) ).
cnf(refute_0_1140,plain,
( converse(join(X_11,converse(one))) != join(converse(X_11),one)
| converse(join(X_11,one)) = join(converse(X_11),one) ),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_328,refute_0_1139]) ).
cnf(refute_0_1141,plain,
converse(join(X_11,one)) = join(converse(X_11),one),
inference(resolve,[$cnf( $equal(converse(join(X_11,converse(one))),join(converse(X_11),one)) )],[refute_0_1138,refute_0_1140]) ).
cnf(refute_0_1142,plain,
join(converse(X_11),one) = join(one,converse(X_11)),
inference(subst,[],[refute_0_7:[bind(X0,$fot(one)),bind(X1,$fot(converse(X_11)))]]) ).
cnf(refute_0_1143,plain,
( converse(join(X_11,one)) != join(converse(X_11),one)
| join(converse(X_11),one) != join(one,converse(X_11))
| converse(join(X_11,one)) = join(one,converse(X_11)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(join(X_11,one)),join(one,converse(X_11))) ),[0],$fot(join(converse(X_11),one))]]) ).
cnf(refute_0_1144,plain,
( converse(join(X_11,one)) != join(converse(X_11),one)
| converse(join(X_11,one)) = join(one,converse(X_11)) ),
inference(resolve,[$cnf( $equal(join(converse(X_11),one),join(one,converse(X_11))) )],[refute_0_1142,refute_0_1143]) ).
cnf(refute_0_1145,plain,
converse(join(X_11,one)) = join(one,converse(X_11)),
inference(resolve,[$cnf( $equal(converse(join(X_11,one)),join(converse(X_11),one)) )],[refute_0_1141,refute_0_1144]) ).
cnf(refute_0_1146,plain,
converse(join(one,one)) = join(one,converse(one)),
inference(subst,[],[refute_0_1145:[bind(X_11,$fot(one))]]) ).
cnf(refute_0_1147,plain,
( converse(join(one,one)) != join(one,converse(one))
| converse(one) != one
| converse(join(one,one)) = join(one,one) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,one)),join(one,converse(one))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_1148,plain,
( converse(join(one,one)) != join(one,converse(one))
| converse(join(one,one)) = join(one,one) ),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_328,refute_0_1147]) ).
cnf(refute_0_1149,plain,
converse(join(one,one)) = join(one,one),
inference(resolve,[$cnf( $equal(converse(join(one,one)),join(one,converse(one))) )],[refute_0_1146,refute_0_1148]) ).
cnf(refute_0_1150,plain,
( converse(join(one,one)) != join(one,one)
| join(complement(X_75),composition(converse(join(one,one)),complement(composition(join(one,one),X_75)))) != complement(X_75)
| join(complement(X_75),composition(join(one,one),complement(composition(join(one,one),X_75)))) = complement(X_75) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_75),composition(converse(join(one,one)),complement(composition(join(one,one),X_75)))),complement(X_75)) ),[0,1,0],$fot(join(one,one))]]) ).
cnf(refute_0_1151,plain,
( join(complement(X_75),composition(converse(join(one,one)),complement(composition(join(one,one),X_75)))) != complement(X_75)
| join(complement(X_75),composition(join(one,one),complement(composition(join(one,one),X_75)))) = complement(X_75) ),
inference(resolve,[$cnf( $equal(converse(join(one,one)),join(one,one)) )],[refute_0_1149,refute_0_1150]) ).
cnf(refute_0_1152,plain,
join(complement(X_75),composition(join(one,one),complement(composition(join(one,one),X_75)))) = complement(X_75),
inference(resolve,[$cnf( $equal(join(complement(X_75),composition(converse(join(one,one)),complement(composition(join(one,one),X_75)))),complement(X_75)) )],[refute_0_1133,refute_0_1151]) ).
cnf(refute_0_1153,plain,
( composition(one,X_75) != X_75
| join(complement(X_75),composition(converse(one),complement(composition(one,X_75)))) != complement(X_75)
| join(complement(X_75),composition(converse(one),complement(X_75))) = complement(X_75) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_75),composition(converse(one),complement(composition(one,X_75)))),complement(X_75)) ),[0,1,1,0],$fot(X_75)]]) ).
cnf(refute_0_1154,plain,
( join(complement(X_75),composition(converse(one),complement(composition(one,X_75)))) != complement(X_75)
| join(complement(X_75),composition(converse(one),complement(X_75))) = complement(X_75) ),
inference(resolve,[$cnf( $equal(composition(one,X_75),X_75) )],[refute_0_341,refute_0_1153]) ).
cnf(refute_0_1155,plain,
join(complement(X_75),composition(converse(one),complement(X_75))) = complement(X_75),
inference(resolve,[$cnf( $equal(join(complement(X_75),composition(converse(one),complement(composition(one,X_75)))),complement(X_75)) )],[refute_0_304,refute_0_1154]) ).
cnf(refute_0_1156,plain,
( converse(join(X_11,one)) != join(one,converse(X_11))
| join(one,converse(X_11)) = converse(join(X_11,one)) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(converse(join(X_11,one)))),bind(Y,$fot(join(one,converse(X_11))))]]) ).
cnf(refute_0_1157,plain,
join(one,converse(X_11)) = converse(join(X_11,one)),
inference(resolve,[$cnf( $equal(converse(join(X_11,one)),join(one,converse(X_11))) )],[refute_0_1145,refute_0_1156]) ).
cnf(refute_0_1158,plain,
join(one,converse(one)) = converse(join(one,one)),
inference(subst,[],[refute_0_1157:[bind(X_11,$fot(one))]]) ).
cnf(refute_0_1159,plain,
( converse(join(one,one)) != join(one,one)
| join(one,converse(one)) != converse(join(one,one))
| join(one,converse(one)) = join(one,one) ),
inference(subst,[],[refute_0_41:[bind(X,$fot(join(one,converse(one)))),bind(Y,$fot(converse(join(one,one)))),bind(Z,$fot(join(one,one)))]]) ).
cnf(refute_0_1160,plain,
( converse(join(one,one)) != join(one,one)
| join(one,converse(one)) = join(one,one) ),
inference(resolve,[$cnf( $equal(join(one,converse(one)),converse(join(one,one))) )],[refute_0_1158,refute_0_1159]) ).
cnf(refute_0_1161,plain,
join(one,converse(one)) = join(one,one),
inference(resolve,[$cnf( $equal(converse(join(one,one)),join(one,one)) )],[refute_0_1149,refute_0_1160]) ).
cnf(refute_0_1162,plain,
composition(join(one,converse(one)),complement(X_75)) = composition(join(one,converse(one)),complement(X_75)),
introduced(tautology,[refl,[$fot(composition(join(one,converse(one)),complement(X_75)))]]) ).
cnf(refute_0_1163,plain,
( composition(join(one,converse(one)),complement(X_75)) != composition(join(one,converse(one)),complement(X_75))
| join(one,converse(one)) != join(one,one)
| composition(join(one,converse(one)),complement(X_75)) = composition(join(one,one),complement(X_75)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,converse(one)),complement(X_75)),composition(join(one,converse(one)),complement(X_75))) ),[1,0],$fot(join(one,one))]]) ).
cnf(refute_0_1164,plain,
( join(one,converse(one)) != join(one,one)
| composition(join(one,converse(one)),complement(X_75)) = composition(join(one,one),complement(X_75)) ),
inference(resolve,[$cnf( $equal(composition(join(one,converse(one)),complement(X_75)),composition(join(one,converse(one)),complement(X_75))) )],[refute_0_1162,refute_0_1163]) ).
cnf(refute_0_1165,plain,
composition(join(one,converse(one)),complement(X_75)) = composition(join(one,one),complement(X_75)),
inference(resolve,[$cnf( $equal(join(one,converse(one)),join(one,one)) )],[refute_0_1161,refute_0_1164]) ).
cnf(refute_0_1166,plain,
join(composition(X_72,X_73),composition(X_71,X_73)) = join(composition(X_71,X_73),composition(X_72,X_73)),
inference(subst,[],[refute_0_2:[bind(X0,$fot(composition(X_72,X_73))),bind(X1,$fot(composition(X_71,X_73)))]]) ).
cnf(refute_0_1167,plain,
composition(join(X_71,X_72),X_73) = join(composition(X_71,X_73),composition(X_72,X_73)),
inference(subst,[],[refute_0_1065:[bind(X0,$fot(X_71)),bind(X1,$fot(X_72)),bind(X2,$fot(X_73))]]) ).
cnf(refute_0_1168,plain,
( composition(join(X_71,X_72),X_73) != join(composition(X_71,X_73),composition(X_72,X_73))
| join(composition(X_71,X_73),composition(X_72,X_73)) = composition(join(X_71,X_72),X_73) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(composition(join(X_71,X_72),X_73))),bind(Y,$fot(join(composition(X_71,X_73),composition(X_72,X_73))))]]) ).
cnf(refute_0_1169,plain,
join(composition(X_71,X_73),composition(X_72,X_73)) = composition(join(X_71,X_72),X_73),
inference(resolve,[$cnf( $equal(composition(join(X_71,X_72),X_73),join(composition(X_71,X_73),composition(X_72,X_73))) )],[refute_0_1167,refute_0_1168]) ).
cnf(refute_0_1170,plain,
( join(composition(X_71,X_73),composition(X_72,X_73)) != composition(join(X_71,X_72),X_73)
| join(composition(X_72,X_73),composition(X_71,X_73)) != join(composition(X_71,X_73),composition(X_72,X_73))
| join(composition(X_72,X_73),composition(X_71,X_73)) = composition(join(X_71,X_72),X_73) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(X_72,X_73),composition(X_71,X_73)),join(composition(X_71,X_73),composition(X_72,X_73))) ),[1],$fot(composition(join(X_71,X_72),X_73))]]) ).
cnf(refute_0_1171,plain,
( join(composition(X_72,X_73),composition(X_71,X_73)) != join(composition(X_71,X_73),composition(X_72,X_73))
| join(composition(X_72,X_73),composition(X_71,X_73)) = composition(join(X_71,X_72),X_73) ),
inference(resolve,[$cnf( $equal(join(composition(X_71,X_73),composition(X_72,X_73)),composition(join(X_71,X_72),X_73)) )],[refute_0_1169,refute_0_1170]) ).
cnf(refute_0_1172,plain,
join(composition(X_72,X_73),composition(X_71,X_73)) = composition(join(X_71,X_72),X_73),
inference(resolve,[$cnf( $equal(join(composition(X_72,X_73),composition(X_71,X_73)),join(composition(X_71,X_73),composition(X_72,X_73))) )],[refute_0_1166,refute_0_1171]) ).
cnf(refute_0_1173,plain,
( composition(join(X0,X1),X2) != join(composition(X0,X2),composition(X1,X2))
| join(composition(X0,X2),composition(X1,X2)) = composition(join(X0,X1),X2) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(composition(join(X0,X1),X2))),bind(Y,$fot(join(composition(X0,X2),composition(X1,X2))))]]) ).
cnf(refute_0_1174,plain,
join(composition(X0,X2),composition(X1,X2)) = composition(join(X0,X1),X2),
inference(resolve,[$cnf( $equal(composition(join(X0,X1),X2),join(composition(X0,X2),composition(X1,X2))) )],[refute_0_1065,refute_0_1173]) ).
cnf(refute_0_1175,plain,
join(composition(X_72,X_73),composition(X_71,X_73)) = composition(join(X_72,X_71),X_73),
inference(subst,[],[refute_0_1174:[bind(X0,$fot(X_72)),bind(X1,$fot(X_71)),bind(X2,$fot(X_73))]]) ).
cnf(refute_0_1176,plain,
( join(composition(X_72,X_73),composition(X_71,X_73)) != composition(join(X_71,X_72),X_73)
| join(composition(X_72,X_73),composition(X_71,X_73)) != composition(join(X_72,X_71),X_73)
| composition(join(X_72,X_71),X_73) = composition(join(X_71,X_72),X_73) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(X_72,X_73),composition(X_71,X_73)),composition(join(X_71,X_72),X_73)) ),[0],$fot(composition(join(X_72,X_71),X_73))]]) ).
cnf(refute_0_1177,plain,
( join(composition(X_72,X_73),composition(X_71,X_73)) != composition(join(X_71,X_72),X_73)
| composition(join(X_72,X_71),X_73) = composition(join(X_71,X_72),X_73) ),
inference(resolve,[$cnf( $equal(join(composition(X_72,X_73),composition(X_71,X_73)),composition(join(X_72,X_71),X_73)) )],[refute_0_1175,refute_0_1176]) ).
cnf(refute_0_1178,plain,
composition(join(X_72,X_71),X_73) = composition(join(X_71,X_72),X_73),
inference(resolve,[$cnf( $equal(join(composition(X_72,X_73),composition(X_71,X_73)),composition(join(X_71,X_72),X_73)) )],[refute_0_1172,refute_0_1177]) ).
cnf(refute_0_1179,plain,
( composition(join(X_72,X_71),X_73) != composition(join(X_71,X_72),X_73)
| composition(join(X_71,X_72),X_73) = composition(join(X_72,X_71),X_73) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(composition(join(X_72,X_71),X_73))),bind(Y,$fot(composition(join(X_71,X_72),X_73)))]]) ).
cnf(refute_0_1180,plain,
composition(join(X_71,X_72),X_73) = composition(join(X_72,X_71),X_73),
inference(resolve,[$cnf( $equal(composition(join(X_72,X_71),X_73),composition(join(X_71,X_72),X_73)) )],[refute_0_1178,refute_0_1179]) ).
cnf(refute_0_1181,plain,
composition(join(converse(one),one),complement(X_75)) = composition(join(one,converse(one)),complement(X_75)),
inference(subst,[],[refute_0_1180:[bind(X_71,$fot(converse(one))),bind(X_72,$fot(one)),bind(X_73,$fot(complement(X_75)))]]) ).
cnf(refute_0_1182,plain,
composition(join(X_71,one),X_73) = join(composition(X_71,X_73),composition(one,X_73)),
inference(subst,[],[refute_0_1065:[bind(X0,$fot(X_71)),bind(X1,$fot(one)),bind(X2,$fot(X_73))]]) ).
cnf(refute_0_1183,plain,
X_73 = composition(one,X_73),
inference(subst,[],[refute_0_338:[bind(X_46,$fot(X_73))]]) ).
cnf(refute_0_1184,plain,
( X_73 != composition(one,X_73)
| composition(one,X_73) = X_73 ),
inference(subst,[],[refute_0_5:[bind(X,$fot(X_73)),bind(Y,$fot(composition(one,X_73)))]]) ).
cnf(refute_0_1185,plain,
composition(one,X_73) = X_73,
inference(resolve,[$cnf( $equal(X_73,composition(one,X_73)) )],[refute_0_1183,refute_0_1184]) ).
cnf(refute_0_1186,plain,
( composition(join(X_71,one),X_73) != join(composition(X_71,X_73),composition(one,X_73))
| composition(one,X_73) != X_73
| composition(join(X_71,one),X_73) = join(composition(X_71,X_73),X_73) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X_71,one),X_73),join(composition(X_71,X_73),composition(one,X_73))) ),[1,1],$fot(X_73)]]) ).
cnf(refute_0_1187,plain,
( composition(join(X_71,one),X_73) != join(composition(X_71,X_73),composition(one,X_73))
| composition(join(X_71,one),X_73) = join(composition(X_71,X_73),X_73) ),
inference(resolve,[$cnf( $equal(composition(one,X_73),X_73) )],[refute_0_1185,refute_0_1186]) ).
cnf(refute_0_1188,plain,
composition(join(X_71,one),X_73) = join(composition(X_71,X_73),X_73),
inference(resolve,[$cnf( $equal(composition(join(X_71,one),X_73),join(composition(X_71,X_73),composition(one,X_73))) )],[refute_0_1182,refute_0_1187]) ).
cnf(refute_0_1189,plain,
join(composition(X_71,X_73),X_73) = join(X_73,composition(X_71,X_73)),
inference(subst,[],[refute_0_7:[bind(X0,$fot(X_73)),bind(X1,$fot(composition(X_71,X_73)))]]) ).
cnf(refute_0_1190,plain,
( composition(join(X_71,one),X_73) != join(composition(X_71,X_73),X_73)
| join(composition(X_71,X_73),X_73) != join(X_73,composition(X_71,X_73))
| composition(join(X_71,one),X_73) = join(X_73,composition(X_71,X_73)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(X_71,one),X_73),join(X_73,composition(X_71,X_73))) ),[0],$fot(join(composition(X_71,X_73),X_73))]]) ).
cnf(refute_0_1191,plain,
( composition(join(X_71,one),X_73) != join(composition(X_71,X_73),X_73)
| composition(join(X_71,one),X_73) = join(X_73,composition(X_71,X_73)) ),
inference(resolve,[$cnf( $equal(join(composition(X_71,X_73),X_73),join(X_73,composition(X_71,X_73))) )],[refute_0_1189,refute_0_1190]) ).
cnf(refute_0_1192,plain,
composition(join(X_71,one),X_73) = join(X_73,composition(X_71,X_73)),
inference(resolve,[$cnf( $equal(composition(join(X_71,one),X_73),join(composition(X_71,X_73),X_73)) )],[refute_0_1188,refute_0_1191]) ).
cnf(refute_0_1193,plain,
( composition(join(X_71,one),X_73) != join(X_73,composition(X_71,X_73))
| join(X_73,composition(X_71,X_73)) = composition(join(X_71,one),X_73) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(composition(join(X_71,one),X_73))),bind(Y,$fot(join(X_73,composition(X_71,X_73))))]]) ).
cnf(refute_0_1194,plain,
join(X_73,composition(X_71,X_73)) = composition(join(X_71,one),X_73),
inference(resolve,[$cnf( $equal(composition(join(X_71,one),X_73),join(X_73,composition(X_71,X_73))) )],[refute_0_1192,refute_0_1193]) ).
cnf(refute_0_1195,plain,
join(complement(X_75),composition(converse(one),complement(X_75))) = composition(join(converse(one),one),complement(X_75)),
inference(subst,[],[refute_0_1194:[bind(X_71,$fot(converse(one))),bind(X_73,$fot(complement(X_75)))]]) ).
cnf(refute_0_1196,plain,
( composition(join(converse(one),one),complement(X_75)) != composition(join(one,converse(one)),complement(X_75))
| join(complement(X_75),composition(converse(one),complement(X_75))) != composition(join(converse(one),one),complement(X_75))
| join(complement(X_75),composition(converse(one),complement(X_75))) = composition(join(one,converse(one)),complement(X_75)) ),
inference(subst,[],[refute_0_41:[bind(X,$fot(join(complement(X_75),composition(converse(one),complement(X_75))))),bind(Y,$fot(composition(join(converse(one),one),complement(X_75)))),bind(Z,$fot(composition(join(one,converse(one)),complement(X_75))))]]) ).
cnf(refute_0_1197,plain,
( composition(join(converse(one),one),complement(X_75)) != composition(join(one,converse(one)),complement(X_75))
| join(complement(X_75),composition(converse(one),complement(X_75))) = composition(join(one,converse(one)),complement(X_75)) ),
inference(resolve,[$cnf( $equal(join(complement(X_75),composition(converse(one),complement(X_75))),composition(join(converse(one),one),complement(X_75))) )],[refute_0_1195,refute_0_1196]) ).
cnf(refute_0_1198,plain,
join(complement(X_75),composition(converse(one),complement(X_75))) = composition(join(one,converse(one)),complement(X_75)),
inference(resolve,[$cnf( $equal(composition(join(converse(one),one),complement(X_75)),composition(join(one,converse(one)),complement(X_75))) )],[refute_0_1181,refute_0_1197]) ).
cnf(refute_0_1199,plain,
( composition(join(one,converse(one)),complement(X_75)) != composition(join(one,one),complement(X_75))
| join(complement(X_75),composition(converse(one),complement(X_75))) != composition(join(one,converse(one)),complement(X_75))
| join(complement(X_75),composition(converse(one),complement(X_75))) = composition(join(one,one),complement(X_75)) ),
inference(subst,[],[refute_0_41:[bind(X,$fot(join(complement(X_75),composition(converse(one),complement(X_75))))),bind(Y,$fot(composition(join(one,converse(one)),complement(X_75)))),bind(Z,$fot(composition(join(one,one),complement(X_75))))]]) ).
cnf(refute_0_1200,plain,
( composition(join(one,converse(one)),complement(X_75)) != composition(join(one,one),complement(X_75))
| join(complement(X_75),composition(converse(one),complement(X_75))) = composition(join(one,one),complement(X_75)) ),
inference(resolve,[$cnf( $equal(join(complement(X_75),composition(converse(one),complement(X_75))),composition(join(one,converse(one)),complement(X_75))) )],[refute_0_1198,refute_0_1199]) ).
cnf(refute_0_1201,plain,
join(complement(X_75),composition(converse(one),complement(X_75))) = composition(join(one,one),complement(X_75)),
inference(resolve,[$cnf( $equal(composition(join(one,converse(one)),complement(X_75)),composition(join(one,one),complement(X_75))) )],[refute_0_1165,refute_0_1200]) ).
cnf(refute_0_1202,plain,
( join(complement(X_75),composition(converse(one),complement(X_75))) != complement(X_75)
| join(complement(X_75),composition(converse(one),complement(X_75))) != composition(join(one,one),complement(X_75))
| composition(join(one,one),complement(X_75)) = complement(X_75) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_75),composition(converse(one),complement(X_75))),complement(X_75)) ),[0],$fot(composition(join(one,one),complement(X_75)))]]) ).
cnf(refute_0_1203,plain,
( join(complement(X_75),composition(converse(one),complement(X_75))) != complement(X_75)
| composition(join(one,one),complement(X_75)) = complement(X_75) ),
inference(resolve,[$cnf( $equal(join(complement(X_75),composition(converse(one),complement(X_75))),composition(join(one,one),complement(X_75))) )],[refute_0_1201,refute_0_1202]) ).
cnf(refute_0_1204,plain,
composition(join(one,one),complement(X_75)) = complement(X_75),
inference(resolve,[$cnf( $equal(join(complement(X_75),composition(converse(one),complement(X_75))),complement(X_75)) )],[refute_0_1155,refute_0_1203]) ).
cnf(refute_0_1205,plain,
composition(join(one,one),complement(composition(join(one,one),X_75))) = complement(composition(join(one,one),X_75)),
inference(subst,[],[refute_0_1204:[bind(X_75,$fot(composition(join(one,one),X_75)))]]) ).
cnf(refute_0_1206,plain,
join(complement(X_75),composition(join(one,one),complement(composition(join(one,one),X_75)))) = join(complement(X_75),composition(join(one,one),complement(composition(join(one,one),X_75)))),
introduced(tautology,[refl,[$fot(join(complement(X_75),composition(join(one,one),complement(composition(join(one,one),X_75)))))]]) ).
cnf(refute_0_1207,plain,
( composition(join(one,one),complement(composition(join(one,one),X_75))) != complement(composition(join(one,one),X_75))
| join(complement(X_75),composition(join(one,one),complement(composition(join(one,one),X_75)))) != join(complement(X_75),composition(join(one,one),complement(composition(join(one,one),X_75))))
| join(complement(X_75),composition(join(one,one),complement(composition(join(one,one),X_75)))) = join(complement(X_75),complement(composition(join(one,one),X_75))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_75),composition(join(one,one),complement(composition(join(one,one),X_75)))),join(complement(X_75),composition(join(one,one),complement(composition(join(one,one),X_75))))) ),[1,1],$fot(complement(composition(join(one,one),X_75)))]]) ).
cnf(refute_0_1208,plain,
( composition(join(one,one),complement(composition(join(one,one),X_75))) != complement(composition(join(one,one),X_75))
| join(complement(X_75),composition(join(one,one),complement(composition(join(one,one),X_75)))) = join(complement(X_75),complement(composition(join(one,one),X_75))) ),
inference(resolve,[$cnf( $equal(join(complement(X_75),composition(join(one,one),complement(composition(join(one,one),X_75)))),join(complement(X_75),composition(join(one,one),complement(composition(join(one,one),X_75))))) )],[refute_0_1206,refute_0_1207]) ).
cnf(refute_0_1209,plain,
join(complement(X_75),composition(join(one,one),complement(composition(join(one,one),X_75)))) = join(complement(X_75),complement(composition(join(one,one),X_75))),
inference(resolve,[$cnf( $equal(composition(join(one,one),complement(composition(join(one,one),X_75))),complement(composition(join(one,one),X_75))) )],[refute_0_1205,refute_0_1208]) ).
cnf(refute_0_1210,plain,
( join(complement(X_75),composition(join(one,one),complement(composition(join(one,one),X_75)))) != complement(X_75)
| join(complement(X_75),composition(join(one,one),complement(composition(join(one,one),X_75)))) != join(complement(X_75),complement(composition(join(one,one),X_75)))
| join(complement(X_75),complement(composition(join(one,one),X_75))) = complement(X_75) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_75),composition(join(one,one),complement(composition(join(one,one),X_75)))),complement(X_75)) ),[0],$fot(join(complement(X_75),complement(composition(join(one,one),X_75))))]]) ).
cnf(refute_0_1211,plain,
( join(complement(X_75),composition(join(one,one),complement(composition(join(one,one),X_75)))) != complement(X_75)
| join(complement(X_75),complement(composition(join(one,one),X_75))) = complement(X_75) ),
inference(resolve,[$cnf( $equal(join(complement(X_75),composition(join(one,one),complement(composition(join(one,one),X_75)))),join(complement(X_75),complement(composition(join(one,one),X_75)))) )],[refute_0_1209,refute_0_1210]) ).
cnf(refute_0_1212,plain,
join(complement(X_75),complement(composition(join(one,one),X_75))) = complement(X_75),
inference(resolve,[$cnf( $equal(join(complement(X_75),composition(join(one,one),complement(composition(join(one,one),X_75)))),complement(X_75)) )],[refute_0_1152,refute_0_1211]) ).
cnf(refute_0_1213,plain,
join(complement(X0),complement(X1)) = join(meet(join(complement(X0),complement(X1)),X_30),complement(join(complement(join(complement(X0),complement(X1))),X_30))),
inference(subst,[],[refute_0_73:[bind(X0,$fot(join(complement(X0),complement(X1)))),bind(X1,$fot(X_30))]]) ).
cnf(refute_0_1214,plain,
( complement(join(complement(X0),complement(X1))) != meet(X0,X1)
| join(complement(X0),complement(X1)) != join(meet(join(complement(X0),complement(X1)),X_30),complement(join(complement(join(complement(X0),complement(X1))),X_30)))
| join(complement(X0),complement(X1)) = join(meet(join(complement(X0),complement(X1)),X_30),complement(join(meet(X0,X1),X_30))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X0),complement(X1)),join(meet(join(complement(X0),complement(X1)),X_30),complement(join(complement(join(complement(X0),complement(X1))),X_30)))) ),[1,1,0,0],$fot(meet(X0,X1))]]) ).
cnf(refute_0_1215,plain,
( join(complement(X0),complement(X1)) != join(meet(join(complement(X0),complement(X1)),X_30),complement(join(complement(join(complement(X0),complement(X1))),X_30)))
| join(complement(X0),complement(X1)) = join(meet(join(complement(X0),complement(X1)),X_30),complement(join(meet(X0,X1),X_30))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X0),complement(X1))),meet(X0,X1)) )],[refute_0_63,refute_0_1214]) ).
cnf(refute_0_1216,plain,
join(complement(X0),complement(X1)) = join(meet(join(complement(X0),complement(X1)),X_30),complement(join(meet(X0,X1),X_30))),
inference(resolve,[$cnf( $equal(join(complement(X0),complement(X1)),join(meet(join(complement(X0),complement(X1)),X_30),complement(join(complement(join(complement(X0),complement(X1))),X_30)))) )],[refute_0_1213,refute_0_1215]) ).
cnf(refute_0_1217,plain,
meet(join(complement(X0),complement(X1)),X_30) = complement(join(meet(X0,X1),complement(X_30))),
inference(subst,[],[refute_0_38:[bind(X1,$fot(X_30)),bind(X_6,$fot(X0)),bind(X_7,$fot(X1))]]) ).
cnf(refute_0_1218,plain,
join(complement(join(meet(X0,X1),X_30)),meet(join(complement(X0),complement(X1)),X_30)) = join(complement(join(meet(X0,X1),X_30)),meet(join(complement(X0),complement(X1)),X_30)),
introduced(tautology,[refl,[$fot(join(complement(join(meet(X0,X1),X_30)),meet(join(complement(X0),complement(X1)),X_30)))]]) ).
cnf(refute_0_1219,plain,
( join(complement(join(meet(X0,X1),X_30)),meet(join(complement(X0),complement(X1)),X_30)) != join(complement(join(meet(X0,X1),X_30)),meet(join(complement(X0),complement(X1)),X_30))
| meet(join(complement(X0),complement(X1)),X_30) != complement(join(meet(X0,X1),complement(X_30)))
| join(complement(join(meet(X0,X1),X_30)),meet(join(complement(X0),complement(X1)),X_30)) = join(complement(join(meet(X0,X1),X_30)),complement(join(meet(X0,X1),complement(X_30)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(join(meet(X0,X1),X_30)),meet(join(complement(X0),complement(X1)),X_30)),join(complement(join(meet(X0,X1),X_30)),meet(join(complement(X0),complement(X1)),X_30))) ),[1,1],$fot(complement(join(meet(X0,X1),complement(X_30))))]]) ).
cnf(refute_0_1220,plain,
( meet(join(complement(X0),complement(X1)),X_30) != complement(join(meet(X0,X1),complement(X_30)))
| join(complement(join(meet(X0,X1),X_30)),meet(join(complement(X0),complement(X1)),X_30)) = join(complement(join(meet(X0,X1),X_30)),complement(join(meet(X0,X1),complement(X_30)))) ),
inference(resolve,[$cnf( $equal(join(complement(join(meet(X0,X1),X_30)),meet(join(complement(X0),complement(X1)),X_30)),join(complement(join(meet(X0,X1),X_30)),meet(join(complement(X0),complement(X1)),X_30))) )],[refute_0_1218,refute_0_1219]) ).
cnf(refute_0_1221,plain,
join(complement(join(meet(X0,X1),X_30)),meet(join(complement(X0),complement(X1)),X_30)) = join(complement(join(meet(X0,X1),X_30)),complement(join(meet(X0,X1),complement(X_30)))),
inference(resolve,[$cnf( $equal(meet(join(complement(X0),complement(X1)),X_30),complement(join(meet(X0,X1),complement(X_30)))) )],[refute_0_1217,refute_0_1220]) ).
cnf(refute_0_1222,plain,
join(meet(join(complement(X0),complement(X1)),X_30),complement(join(meet(X0,X1),X_30))) = join(complement(join(meet(X0,X1),X_30)),meet(join(complement(X0),complement(X1)),X_30)),
inference(subst,[],[refute_0_7:[bind(X0,$fot(complement(join(meet(X0,X1),X_30)))),bind(X1,$fot(meet(join(complement(X0),complement(X1)),X_30)))]]) ).
cnf(refute_0_1223,plain,
( join(complement(join(meet(X0,X1),X_30)),meet(join(complement(X0),complement(X1)),X_30)) != join(complement(join(meet(X0,X1),X_30)),complement(join(meet(X0,X1),complement(X_30))))
| join(meet(join(complement(X0),complement(X1)),X_30),complement(join(meet(X0,X1),X_30))) != join(complement(join(meet(X0,X1),X_30)),meet(join(complement(X0),complement(X1)),X_30))
| join(meet(join(complement(X0),complement(X1)),X_30),complement(join(meet(X0,X1),X_30))) = join(complement(join(meet(X0,X1),X_30)),complement(join(meet(X0,X1),complement(X_30)))) ),
inference(subst,[],[refute_0_41:[bind(X,$fot(join(meet(join(complement(X0),complement(X1)),X_30),complement(join(meet(X0,X1),X_30))))),bind(Y,$fot(join(complement(join(meet(X0,X1),X_30)),meet(join(complement(X0),complement(X1)),X_30)))),bind(Z,$fot(join(complement(join(meet(X0,X1),X_30)),complement(join(meet(X0,X1),complement(X_30))))))]]) ).
cnf(refute_0_1224,plain,
( join(complement(join(meet(X0,X1),X_30)),meet(join(complement(X0),complement(X1)),X_30)) != join(complement(join(meet(X0,X1),X_30)),complement(join(meet(X0,X1),complement(X_30))))
| join(meet(join(complement(X0),complement(X1)),X_30),complement(join(meet(X0,X1),X_30))) = join(complement(join(meet(X0,X1),X_30)),complement(join(meet(X0,X1),complement(X_30)))) ),
inference(resolve,[$cnf( $equal(join(meet(join(complement(X0),complement(X1)),X_30),complement(join(meet(X0,X1),X_30))),join(complement(join(meet(X0,X1),X_30)),meet(join(complement(X0),complement(X1)),X_30))) )],[refute_0_1222,refute_0_1223]) ).
cnf(refute_0_1225,plain,
join(meet(join(complement(X0),complement(X1)),X_30),complement(join(meet(X0,X1),X_30))) = join(complement(join(meet(X0,X1),X_30)),complement(join(meet(X0,X1),complement(X_30)))),
inference(resolve,[$cnf( $equal(join(complement(join(meet(X0,X1),X_30)),meet(join(complement(X0),complement(X1)),X_30)),join(complement(join(meet(X0,X1),X_30)),complement(join(meet(X0,X1),complement(X_30))))) )],[refute_0_1221,refute_0_1224]) ).
cnf(refute_0_1226,plain,
( join(complement(X0),complement(X1)) != join(meet(join(complement(X0),complement(X1)),X_30),complement(join(meet(X0,X1),X_30)))
| join(meet(join(complement(X0),complement(X1)),X_30),complement(join(meet(X0,X1),X_30))) != join(complement(join(meet(X0,X1),X_30)),complement(join(meet(X0,X1),complement(X_30))))
| join(complement(X0),complement(X1)) = join(complement(join(meet(X0,X1),X_30)),complement(join(meet(X0,X1),complement(X_30)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(complement(X0),complement(X1)),join(complement(join(meet(X0,X1),X_30)),complement(join(meet(X0,X1),complement(X_30))))) ),[0],$fot(join(meet(join(complement(X0),complement(X1)),X_30),complement(join(meet(X0,X1),X_30))))]]) ).
cnf(refute_0_1227,plain,
( join(complement(X0),complement(X1)) != join(meet(join(complement(X0),complement(X1)),X_30),complement(join(meet(X0,X1),X_30)))
| join(complement(X0),complement(X1)) = join(complement(join(meet(X0,X1),X_30)),complement(join(meet(X0,X1),complement(X_30)))) ),
inference(resolve,[$cnf( $equal(join(meet(join(complement(X0),complement(X1)),X_30),complement(join(meet(X0,X1),X_30))),join(complement(join(meet(X0,X1),X_30)),complement(join(meet(X0,X1),complement(X_30))))) )],[refute_0_1225,refute_0_1226]) ).
cnf(refute_0_1228,plain,
join(complement(X0),complement(X1)) = join(complement(join(meet(X0,X1),X_30)),complement(join(meet(X0,X1),complement(X_30)))),
inference(resolve,[$cnf( $equal(join(complement(X0),complement(X1)),join(meet(join(complement(X0),complement(X1)),X_30),complement(join(meet(X0,X1),X_30)))) )],[refute_0_1216,refute_0_1227]) ).
cnf(refute_0_1229,plain,
meet(join(zero,complement(X_10)),X1) = complement(join(complement(join(zero,complement(X_10))),complement(X1))),
inference(subst,[],[refute_0_20:[bind(X0,$fot(join(zero,complement(X_10))))]]) ).
cnf(refute_0_1230,plain,
( complement(join(zero,complement(X_10))) != meet(top,X_10)
| meet(join(zero,complement(X_10)),X1) != complement(join(complement(join(zero,complement(X_10))),complement(X1)))
| meet(join(zero,complement(X_10)),X1) = complement(join(meet(top,X_10),complement(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(zero,complement(X_10)),X1),complement(join(complement(join(zero,complement(X_10))),complement(X1)))) ),[1,0,0],$fot(meet(top,X_10))]]) ).
cnf(refute_0_1231,plain,
( meet(join(zero,complement(X_10)),X1) != complement(join(complement(join(zero,complement(X_10))),complement(X1)))
| meet(join(zero,complement(X_10)),X1) = complement(join(meet(top,X_10),complement(X1))) ),
inference(resolve,[$cnf( $equal(complement(join(zero,complement(X_10))),meet(top,X_10)) )],[refute_0_129,refute_0_1230]) ).
cnf(refute_0_1232,plain,
meet(join(zero,complement(X_10)),X1) = complement(join(meet(top,X_10),complement(X1))),
inference(resolve,[$cnf( $equal(meet(join(zero,complement(X_10)),X1),complement(join(complement(join(zero,complement(X_10))),complement(X1)))) )],[refute_0_1229,refute_0_1231]) ).
cnf(refute_0_1233,plain,
meet(join(zero,complement(X_10)),X1) = meet(join(zero,complement(X_10)),X1),
introduced(tautology,[refl,[$fot(meet(join(zero,complement(X_10)),X1))]]) ).
cnf(refute_0_1234,plain,
( join(zero,complement(X_10)) != complement(X_10)
| meet(join(zero,complement(X_10)),X1) != meet(join(zero,complement(X_10)),X1)
| meet(join(zero,complement(X_10)),X1) = meet(complement(X_10),X1) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(zero,complement(X_10)),X1),meet(join(zero,complement(X_10)),X1)) ),[1,0],$fot(complement(X_10))]]) ).
cnf(refute_0_1235,plain,
( join(zero,complement(X_10)) != complement(X_10)
| meet(join(zero,complement(X_10)),X1) = meet(complement(X_10),X1) ),
inference(resolve,[$cnf( $equal(meet(join(zero,complement(X_10)),X1),meet(join(zero,complement(X_10)),X1)) )],[refute_0_1233,refute_0_1234]) ).
cnf(refute_0_1236,plain,
meet(join(zero,complement(X_10)),X1) = meet(complement(X_10),X1),
inference(resolve,[$cnf( $equal(join(zero,complement(X_10)),complement(X_10)) )],[refute_0_437,refute_0_1235]) ).
cnf(refute_0_1237,plain,
( meet(join(zero,complement(X_10)),X1) != complement(join(meet(top,X_10),complement(X1)))
| meet(join(zero,complement(X_10)),X1) != meet(complement(X_10),X1)
| meet(complement(X_10),X1) = complement(join(meet(top,X_10),complement(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(zero,complement(X_10)),X1),complement(join(meet(top,X_10),complement(X1)))) ),[0],$fot(meet(complement(X_10),X1))]]) ).
cnf(refute_0_1238,plain,
( meet(join(zero,complement(X_10)),X1) != complement(join(meet(top,X_10),complement(X1)))
| meet(complement(X_10),X1) = complement(join(meet(top,X_10),complement(X1))) ),
inference(resolve,[$cnf( $equal(meet(join(zero,complement(X_10)),X1),meet(complement(X_10),X1)) )],[refute_0_1236,refute_0_1237]) ).
cnf(refute_0_1239,plain,
join(meet(top,X_10),complement(X1)) = join(meet(top,X_10),complement(X1)),
introduced(tautology,[refl,[$fot(join(meet(top,X_10),complement(X1)))]]) ).
cnf(refute_0_1240,plain,
( join(meet(top,X_10),complement(X1)) != join(meet(top,X_10),complement(X1))
| meet(top,X_10) != X_10
| join(meet(top,X_10),complement(X1)) = join(X_10,complement(X1)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(top,X_10),complement(X1)),join(meet(top,X_10),complement(X1))) ),[1,0],$fot(X_10)]]) ).
cnf(refute_0_1241,plain,
( meet(top,X_10) != X_10
| join(meet(top,X_10),complement(X1)) = join(X_10,complement(X1)) ),
inference(resolve,[$cnf( $equal(join(meet(top,X_10),complement(X1)),join(meet(top,X_10),complement(X1))) )],[refute_0_1239,refute_0_1240]) ).
cnf(refute_0_1242,plain,
join(meet(top,X_10),complement(X1)) = join(X_10,complement(X1)),
inference(resolve,[$cnf( $equal(meet(top,X_10),X_10) )],[refute_0_418,refute_0_1241]) ).
cnf(refute_0_1243,plain,
complement(join(meet(top,X_10),complement(X1))) = complement(join(meet(top,X_10),complement(X1))),
introduced(tautology,[refl,[$fot(complement(join(meet(top,X_10),complement(X1))))]]) ).
cnf(refute_0_1244,plain,
( complement(join(meet(top,X_10),complement(X1))) != complement(join(meet(top,X_10),complement(X1)))
| join(meet(top,X_10),complement(X1)) != join(X_10,complement(X1))
| complement(join(meet(top,X_10),complement(X1))) = complement(join(X_10,complement(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(meet(top,X_10),complement(X1))),complement(join(meet(top,X_10),complement(X1)))) ),[1,0],$fot(join(X_10,complement(X1)))]]) ).
cnf(refute_0_1245,plain,
( join(meet(top,X_10),complement(X1)) != join(X_10,complement(X1))
| complement(join(meet(top,X_10),complement(X1))) = complement(join(X_10,complement(X1))) ),
inference(resolve,[$cnf( $equal(complement(join(meet(top,X_10),complement(X1))),complement(join(meet(top,X_10),complement(X1)))) )],[refute_0_1243,refute_0_1244]) ).
cnf(refute_0_1246,plain,
complement(join(meet(top,X_10),complement(X1))) = complement(join(X_10,complement(X1))),
inference(resolve,[$cnf( $equal(join(meet(top,X_10),complement(X1)),join(X_10,complement(X1))) )],[refute_0_1242,refute_0_1245]) ).
cnf(refute_0_1247,plain,
( complement(join(meet(top,X_10),complement(X1))) != complement(join(X_10,complement(X1)))
| meet(complement(X_10),X1) != complement(join(meet(top,X_10),complement(X1)))
| meet(complement(X_10),X1) = complement(join(X_10,complement(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(X_10),X1),complement(join(meet(top,X_10),complement(X1)))) ),[1],$fot(complement(join(X_10,complement(X1))))]]) ).
cnf(refute_0_1248,plain,
( meet(complement(X_10),X1) != complement(join(meet(top,X_10),complement(X1)))
| meet(complement(X_10),X1) = complement(join(X_10,complement(X1))) ),
inference(resolve,[$cnf( $equal(complement(join(meet(top,X_10),complement(X1))),complement(join(X_10,complement(X1)))) )],[refute_0_1246,refute_0_1247]) ).
cnf(refute_0_1249,plain,
( meet(join(zero,complement(X_10)),X1) != complement(join(meet(top,X_10),complement(X1)))
| meet(complement(X_10),X1) = complement(join(X_10,complement(X1))) ),
inference(resolve,[$cnf( $equal(meet(complement(X_10),X1),complement(join(meet(top,X_10),complement(X1)))) )],[refute_0_1238,refute_0_1248]) ).
cnf(refute_0_1250,plain,
meet(complement(X_10),X1) = complement(join(X_10,complement(X1))),
inference(resolve,[$cnf( $equal(meet(join(zero,complement(X_10)),X1),complement(join(meet(top,X_10),complement(X1)))) )],[refute_0_1232,refute_0_1249]) ).
cnf(refute_0_1251,plain,
( meet(complement(X_10),X1) != complement(join(X_10,complement(X1)))
| complement(join(X_10,complement(X1))) = meet(complement(X_10),X1) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(meet(complement(X_10),X1))),bind(Y,$fot(complement(join(X_10,complement(X1)))))]]) ).
cnf(refute_0_1252,plain,
complement(join(X_10,complement(X1))) = meet(complement(X_10),X1),
inference(resolve,[$cnf( $equal(meet(complement(X_10),X1),complement(join(X_10,complement(X1)))) )],[refute_0_1250,refute_0_1251]) ).
cnf(refute_0_1253,plain,
complement(join(meet(X0,X1),complement(X_30))) = meet(complement(meet(X0,X1)),X_30),
inference(subst,[],[refute_0_1252:[bind(X1,$fot(X_30)),bind(X_10,$fot(meet(X0,X1)))]]) ).
cnf(refute_0_1254,plain,
join(complement(join(meet(X0,X1),X_30)),complement(join(meet(X0,X1),complement(X_30)))) = join(complement(join(meet(X0,X1),X_30)),complement(join(meet(X0,X1),complement(X_30)))),
introduced(tautology,[refl,[$fot(join(complement(join(meet(X0,X1),X_30)),complement(join(meet(X0,X1),complement(X_30)))))]]) ).
cnf(refute_0_1255,plain,
( complement(join(meet(X0,X1),complement(X_30))) != meet(complement(meet(X0,X1)),X_30)
| join(complement(join(meet(X0,X1),X_30)),complement(join(meet(X0,X1),complement(X_30)))) != join(complement(join(meet(X0,X1),X_30)),complement(join(meet(X0,X1),complement(X_30))))
| join(complement(join(meet(X0,X1),X_30)),complement(join(meet(X0,X1),complement(X_30)))) = join(complement(join(meet(X0,X1),X_30)),meet(complement(meet(X0,X1)),X_30)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(join(meet(X0,X1),X_30)),complement(join(meet(X0,X1),complement(X_30)))),join(complement(join(meet(X0,X1),X_30)),complement(join(meet(X0,X1),complement(X_30))))) ),[1,1],$fot(meet(complement(meet(X0,X1)),X_30))]]) ).
cnf(refute_0_1256,plain,
( complement(join(meet(X0,X1),complement(X_30))) != meet(complement(meet(X0,X1)),X_30)
| join(complement(join(meet(X0,X1),X_30)),complement(join(meet(X0,X1),complement(X_30)))) = join(complement(join(meet(X0,X1),X_30)),meet(complement(meet(X0,X1)),X_30)) ),
inference(resolve,[$cnf( $equal(join(complement(join(meet(X0,X1),X_30)),complement(join(meet(X0,X1),complement(X_30)))),join(complement(join(meet(X0,X1),X_30)),complement(join(meet(X0,X1),complement(X_30))))) )],[refute_0_1254,refute_0_1255]) ).
cnf(refute_0_1257,plain,
join(complement(join(meet(X0,X1),X_30)),complement(join(meet(X0,X1),complement(X_30)))) = join(complement(join(meet(X0,X1),X_30)),meet(complement(meet(X0,X1)),X_30)),
inference(resolve,[$cnf( $equal(complement(join(meet(X0,X1),complement(X_30))),meet(complement(meet(X0,X1)),X_30)) )],[refute_0_1253,refute_0_1256]) ).
cnf(refute_0_1258,plain,
( join(complement(X0),complement(X1)) != join(complement(join(meet(X0,X1),X_30)),complement(join(meet(X0,X1),complement(X_30))))
| join(complement(join(meet(X0,X1),X_30)),complement(join(meet(X0,X1),complement(X_30)))) != join(complement(join(meet(X0,X1),X_30)),meet(complement(meet(X0,X1)),X_30))
| join(complement(X0),complement(X1)) = join(complement(join(meet(X0,X1),X_30)),meet(complement(meet(X0,X1)),X_30)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(complement(X0),complement(X1)),join(complement(join(meet(X0,X1),X_30)),meet(complement(meet(X0,X1)),X_30))) ),[0],$fot(join(complement(join(meet(X0,X1),X_30)),complement(join(meet(X0,X1),complement(X_30)))))]]) ).
cnf(refute_0_1259,plain,
( join(complement(X0),complement(X1)) != join(complement(join(meet(X0,X1),X_30)),complement(join(meet(X0,X1),complement(X_30))))
| join(complement(X0),complement(X1)) = join(complement(join(meet(X0,X1),X_30)),meet(complement(meet(X0,X1)),X_30)) ),
inference(resolve,[$cnf( $equal(join(complement(join(meet(X0,X1),X_30)),complement(join(meet(X0,X1),complement(X_30)))),join(complement(join(meet(X0,X1),X_30)),meet(complement(meet(X0,X1)),X_30))) )],[refute_0_1257,refute_0_1258]) ).
cnf(refute_0_1260,plain,
join(complement(X0),complement(X1)) = join(complement(join(meet(X0,X1),X_30)),meet(complement(meet(X0,X1)),X_30)),
inference(resolve,[$cnf( $equal(join(complement(X0),complement(X1)),join(complement(join(meet(X0,X1),X_30)),complement(join(meet(X0,X1),complement(X_30))))) )],[refute_0_1228,refute_0_1259]) ).
cnf(refute_0_1261,plain,
join(zero,complement(X1)) = join(meet(join(zero,complement(X1)),X_30),complement(join(complement(join(zero,complement(X1))),X_30))),
inference(subst,[],[refute_0_73:[bind(X0,$fot(join(zero,complement(X1)))),bind(X1,$fot(X_30))]]) ).
cnf(refute_0_1262,plain,
( complement(join(zero,complement(X1))) != meet(top,X1)
| join(zero,complement(X1)) != join(meet(join(zero,complement(X1)),X_30),complement(join(complement(join(zero,complement(X1))),X_30)))
| join(zero,complement(X1)) = join(meet(join(zero,complement(X1)),X_30),complement(join(meet(top,X1),X_30))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,complement(X1)),join(meet(join(zero,complement(X1)),X_30),complement(join(complement(join(zero,complement(X1))),X_30)))) ),[1,1,0,0],$fot(meet(top,X1))]]) ).
cnf(refute_0_1263,plain,
( join(zero,complement(X1)) != join(meet(join(zero,complement(X1)),X_30),complement(join(complement(join(zero,complement(X1))),X_30)))
| join(zero,complement(X1)) = join(meet(join(zero,complement(X1)),X_30),complement(join(meet(top,X1),X_30))) ),
inference(resolve,[$cnf( $equal(complement(join(zero,complement(X1))),meet(top,X1)) )],[refute_0_252,refute_0_1262]) ).
cnf(refute_0_1264,plain,
join(zero,complement(X1)) = join(meet(join(zero,complement(X1)),X_30),complement(join(meet(top,X1),X_30))),
inference(resolve,[$cnf( $equal(join(zero,complement(X1)),join(meet(join(zero,complement(X1)),X_30),complement(join(complement(join(zero,complement(X1))),X_30)))) )],[refute_0_1261,refute_0_1263]) ).
cnf(refute_0_1265,plain,
join(meet(join(zero,complement(X1)),X_30),complement(join(meet(top,X1),X_30))) = join(complement(join(meet(top,X1),X_30)),meet(join(zero,complement(X1)),X_30)),
inference(subst,[],[refute_0_7:[bind(X0,$fot(complement(join(meet(top,X1),X_30)))),bind(X1,$fot(meet(join(zero,complement(X1)),X_30)))]]) ).
cnf(refute_0_1266,plain,
( join(meet(join(zero,complement(X1)),X_30),complement(join(meet(top,X1),X_30))) != join(complement(join(meet(top,X1),X_30)),meet(join(zero,complement(X1)),X_30))
| join(zero,complement(X1)) != join(meet(join(zero,complement(X1)),X_30),complement(join(meet(top,X1),X_30)))
| join(zero,complement(X1)) = join(complement(join(meet(top,X1),X_30)),meet(join(zero,complement(X1)),X_30)) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,complement(X1)),join(meet(join(zero,complement(X1)),X_30),complement(join(meet(top,X1),X_30)))) ),[1],$fot(join(complement(join(meet(top,X1),X_30)),meet(join(zero,complement(X1)),X_30)))]]) ).
cnf(refute_0_1267,plain,
( join(zero,complement(X1)) != join(meet(join(zero,complement(X1)),X_30),complement(join(meet(top,X1),X_30)))
| join(zero,complement(X1)) = join(complement(join(meet(top,X1),X_30)),meet(join(zero,complement(X1)),X_30)) ),
inference(resolve,[$cnf( $equal(join(meet(join(zero,complement(X1)),X_30),complement(join(meet(top,X1),X_30))),join(complement(join(meet(top,X1),X_30)),meet(join(zero,complement(X1)),X_30))) )],[refute_0_1265,refute_0_1266]) ).
cnf(refute_0_1268,plain,
join(zero,complement(X1)) = join(complement(join(meet(top,X1),X_30)),meet(join(zero,complement(X1)),X_30)),
inference(resolve,[$cnf( $equal(join(zero,complement(X1)),join(meet(join(zero,complement(X1)),X_30),complement(join(meet(top,X1),X_30)))) )],[refute_0_1264,refute_0_1267]) ).
cnf(refute_0_1269,plain,
( join(zero,complement(X1)) != complement(X1)
| join(zero,complement(X1)) != join(complement(join(meet(top,X1),X_30)),meet(join(zero,complement(X1)),X_30))
| complement(X1) = join(complement(join(meet(top,X1),X_30)),meet(join(zero,complement(X1)),X_30)) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,complement(X1)),join(complement(join(meet(top,X1),X_30)),meet(join(zero,complement(X1)),X_30))) ),[0],$fot(complement(X1))]]) ).
cnf(refute_0_1270,plain,
( join(zero,complement(X1)) != join(complement(join(meet(top,X1),X_30)),meet(join(zero,complement(X1)),X_30))
| complement(X1) = join(complement(join(meet(top,X1),X_30)),meet(join(zero,complement(X1)),X_30)) ),
inference(resolve,[$cnf( $equal(join(zero,complement(X1)),complement(X1)) )],[refute_0_438,refute_0_1269]) ).
cnf(refute_0_1271,plain,
meet(join(zero,complement(X1)),X_30) = meet(join(zero,complement(X1)),X_30),
introduced(tautology,[refl,[$fot(meet(join(zero,complement(X1)),X_30))]]) ).
cnf(refute_0_1272,plain,
( join(zero,complement(X1)) != complement(X1)
| meet(join(zero,complement(X1)),X_30) != meet(join(zero,complement(X1)),X_30)
| meet(join(zero,complement(X1)),X_30) = meet(complement(X1),X_30) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(zero,complement(X1)),X_30),meet(join(zero,complement(X1)),X_30)) ),[1,0],$fot(complement(X1))]]) ).
cnf(refute_0_1273,plain,
( join(zero,complement(X1)) != complement(X1)
| meet(join(zero,complement(X1)),X_30) = meet(complement(X1),X_30) ),
inference(resolve,[$cnf( $equal(meet(join(zero,complement(X1)),X_30),meet(join(zero,complement(X1)),X_30)) )],[refute_0_1271,refute_0_1272]) ).
cnf(refute_0_1274,plain,
meet(join(zero,complement(X1)),X_30) = meet(complement(X1),X_30),
inference(resolve,[$cnf( $equal(join(zero,complement(X1)),complement(X1)) )],[refute_0_438,refute_0_1273]) ).
cnf(refute_0_1275,plain,
join(complement(join(X1,X_30)),meet(join(zero,complement(X1)),X_30)) = join(complement(join(X1,X_30)),meet(join(zero,complement(X1)),X_30)),
introduced(tautology,[refl,[$fot(join(complement(join(X1,X_30)),meet(join(zero,complement(X1)),X_30)))]]) ).
cnf(refute_0_1276,plain,
( join(complement(join(X1,X_30)),meet(join(zero,complement(X1)),X_30)) != join(complement(join(X1,X_30)),meet(join(zero,complement(X1)),X_30))
| meet(join(zero,complement(X1)),X_30) != meet(complement(X1),X_30)
| join(complement(join(X1,X_30)),meet(join(zero,complement(X1)),X_30)) = join(complement(join(X1,X_30)),meet(complement(X1),X_30)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(join(X1,X_30)),meet(join(zero,complement(X1)),X_30)),join(complement(join(X1,X_30)),meet(join(zero,complement(X1)),X_30))) ),[1,1],$fot(meet(complement(X1),X_30))]]) ).
cnf(refute_0_1277,plain,
( meet(join(zero,complement(X1)),X_30) != meet(complement(X1),X_30)
| join(complement(join(X1,X_30)),meet(join(zero,complement(X1)),X_30)) = join(complement(join(X1,X_30)),meet(complement(X1),X_30)) ),
inference(resolve,[$cnf( $equal(join(complement(join(X1,X_30)),meet(join(zero,complement(X1)),X_30)),join(complement(join(X1,X_30)),meet(join(zero,complement(X1)),X_30))) )],[refute_0_1275,refute_0_1276]) ).
cnf(refute_0_1278,plain,
join(complement(join(X1,X_30)),meet(join(zero,complement(X1)),X_30)) = join(complement(join(X1,X_30)),meet(complement(X1),X_30)),
inference(resolve,[$cnf( $equal(meet(join(zero,complement(X1)),X_30),meet(complement(X1),X_30)) )],[refute_0_1274,refute_0_1277]) ).
cnf(refute_0_1279,plain,
join(meet(top,X1),X_30) = join(meet(top,X1),X_30),
introduced(tautology,[refl,[$fot(join(meet(top,X1),X_30))]]) ).
cnf(refute_0_1280,plain,
( join(meet(top,X1),X_30) != join(meet(top,X1),X_30)
| meet(top,X1) != X1
| join(meet(top,X1),X_30) = join(X1,X_30) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(top,X1),X_30),join(meet(top,X1),X_30)) ),[1,0],$fot(X1)]]) ).
cnf(refute_0_1281,plain,
( meet(top,X1) != X1
| join(meet(top,X1),X_30) = join(X1,X_30) ),
inference(resolve,[$cnf( $equal(join(meet(top,X1),X_30),join(meet(top,X1),X_30)) )],[refute_0_1279,refute_0_1280]) ).
cnf(refute_0_1282,plain,
join(meet(top,X1),X_30) = join(X1,X_30),
inference(resolve,[$cnf( $equal(meet(top,X1),X1) )],[refute_0_419,refute_0_1281]) ).
cnf(refute_0_1283,plain,
complement(join(meet(top,X1),X_30)) = complement(join(meet(top,X1),X_30)),
introduced(tautology,[refl,[$fot(complement(join(meet(top,X1),X_30)))]]) ).
cnf(refute_0_1284,plain,
( complement(join(meet(top,X1),X_30)) != complement(join(meet(top,X1),X_30))
| join(meet(top,X1),X_30) != join(X1,X_30)
| complement(join(meet(top,X1),X_30)) = complement(join(X1,X_30)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(meet(top,X1),X_30)),complement(join(meet(top,X1),X_30))) ),[1,0],$fot(join(X1,X_30))]]) ).
cnf(refute_0_1285,plain,
( join(meet(top,X1),X_30) != join(X1,X_30)
| complement(join(meet(top,X1),X_30)) = complement(join(X1,X_30)) ),
inference(resolve,[$cnf( $equal(complement(join(meet(top,X1),X_30)),complement(join(meet(top,X1),X_30))) )],[refute_0_1283,refute_0_1284]) ).
cnf(refute_0_1286,plain,
complement(join(meet(top,X1),X_30)) = complement(join(X1,X_30)),
inference(resolve,[$cnf( $equal(join(meet(top,X1),X_30),join(X1,X_30)) )],[refute_0_1282,refute_0_1285]) ).
cnf(refute_0_1287,plain,
join(complement(join(meet(top,X1),X_30)),meet(join(zero,complement(X1)),X_30)) = join(complement(join(meet(top,X1),X_30)),meet(join(zero,complement(X1)),X_30)),
introduced(tautology,[refl,[$fot(join(complement(join(meet(top,X1),X_30)),meet(join(zero,complement(X1)),X_30)))]]) ).
cnf(refute_0_1288,plain,
( complement(join(meet(top,X1),X_30)) != complement(join(X1,X_30))
| join(complement(join(meet(top,X1),X_30)),meet(join(zero,complement(X1)),X_30)) != join(complement(join(meet(top,X1),X_30)),meet(join(zero,complement(X1)),X_30))
| join(complement(join(meet(top,X1),X_30)),meet(join(zero,complement(X1)),X_30)) = join(complement(join(X1,X_30)),meet(join(zero,complement(X1)),X_30)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(join(meet(top,X1),X_30)),meet(join(zero,complement(X1)),X_30)),join(complement(join(meet(top,X1),X_30)),meet(join(zero,complement(X1)),X_30))) ),[1,0],$fot(complement(join(X1,X_30)))]]) ).
cnf(refute_0_1289,plain,
( complement(join(meet(top,X1),X_30)) != complement(join(X1,X_30))
| join(complement(join(meet(top,X1),X_30)),meet(join(zero,complement(X1)),X_30)) = join(complement(join(X1,X_30)),meet(join(zero,complement(X1)),X_30)) ),
inference(resolve,[$cnf( $equal(join(complement(join(meet(top,X1),X_30)),meet(join(zero,complement(X1)),X_30)),join(complement(join(meet(top,X1),X_30)),meet(join(zero,complement(X1)),X_30))) )],[refute_0_1287,refute_0_1288]) ).
cnf(refute_0_1290,plain,
join(complement(join(meet(top,X1),X_30)),meet(join(zero,complement(X1)),X_30)) = join(complement(join(X1,X_30)),meet(join(zero,complement(X1)),X_30)),
inference(resolve,[$cnf( $equal(complement(join(meet(top,X1),X_30)),complement(join(X1,X_30))) )],[refute_0_1286,refute_0_1289]) ).
cnf(refute_0_1291,plain,
( join(complement(join(X1,X_30)),meet(join(zero,complement(X1)),X_30)) != join(complement(join(X1,X_30)),meet(complement(X1),X_30))
| join(complement(join(meet(top,X1),X_30)),meet(join(zero,complement(X1)),X_30)) != join(complement(join(X1,X_30)),meet(join(zero,complement(X1)),X_30))
| join(complement(join(meet(top,X1),X_30)),meet(join(zero,complement(X1)),X_30)) = join(complement(join(X1,X_30)),meet(complement(X1),X_30)) ),
inference(subst,[],[refute_0_41:[bind(X,$fot(join(complement(join(meet(top,X1),X_30)),meet(join(zero,complement(X1)),X_30)))),bind(Y,$fot(join(complement(join(X1,X_30)),meet(join(zero,complement(X1)),X_30)))),bind(Z,$fot(join(complement(join(X1,X_30)),meet(complement(X1),X_30))))]]) ).
cnf(refute_0_1292,plain,
( join(complement(join(X1,X_30)),meet(join(zero,complement(X1)),X_30)) != join(complement(join(X1,X_30)),meet(complement(X1),X_30))
| join(complement(join(meet(top,X1),X_30)),meet(join(zero,complement(X1)),X_30)) = join(complement(join(X1,X_30)),meet(complement(X1),X_30)) ),
inference(resolve,[$cnf( $equal(join(complement(join(meet(top,X1),X_30)),meet(join(zero,complement(X1)),X_30)),join(complement(join(X1,X_30)),meet(join(zero,complement(X1)),X_30))) )],[refute_0_1290,refute_0_1291]) ).
cnf(refute_0_1293,plain,
join(complement(join(meet(top,X1),X_30)),meet(join(zero,complement(X1)),X_30)) = join(complement(join(X1,X_30)),meet(complement(X1),X_30)),
inference(resolve,[$cnf( $equal(join(complement(join(X1,X_30)),meet(join(zero,complement(X1)),X_30)),join(complement(join(X1,X_30)),meet(complement(X1),X_30))) )],[refute_0_1278,refute_0_1292]) ).
cnf(refute_0_1294,plain,
( complement(X1) != join(complement(join(meet(top,X1),X_30)),meet(join(zero,complement(X1)),X_30))
| join(complement(join(meet(top,X1),X_30)),meet(join(zero,complement(X1)),X_30)) != join(complement(join(X1,X_30)),meet(complement(X1),X_30))
| complement(X1) = join(complement(join(X1,X_30)),meet(complement(X1),X_30)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(X1),join(complement(join(X1,X_30)),meet(complement(X1),X_30))) ),[0],$fot(join(complement(join(meet(top,X1),X_30)),meet(join(zero,complement(X1)),X_30)))]]) ).
cnf(refute_0_1295,plain,
( complement(X1) != join(complement(join(meet(top,X1),X_30)),meet(join(zero,complement(X1)),X_30))
| complement(X1) = join(complement(join(X1,X_30)),meet(complement(X1),X_30)) ),
inference(resolve,[$cnf( $equal(join(complement(join(meet(top,X1),X_30)),meet(join(zero,complement(X1)),X_30)),join(complement(join(X1,X_30)),meet(complement(X1),X_30))) )],[refute_0_1293,refute_0_1294]) ).
cnf(refute_0_1296,plain,
( join(zero,complement(X1)) != join(complement(join(meet(top,X1),X_30)),meet(join(zero,complement(X1)),X_30))
| complement(X1) = join(complement(join(X1,X_30)),meet(complement(X1),X_30)) ),
inference(resolve,[$cnf( $equal(complement(X1),join(complement(join(meet(top,X1),X_30)),meet(join(zero,complement(X1)),X_30))) )],[refute_0_1270,refute_0_1295]) ).
cnf(refute_0_1297,plain,
complement(X1) = join(complement(join(X1,X_30)),meet(complement(X1),X_30)),
inference(resolve,[$cnf( $equal(join(zero,complement(X1)),join(complement(join(meet(top,X1),X_30)),meet(join(zero,complement(X1)),X_30))) )],[refute_0_1268,refute_0_1296]) ).
cnf(refute_0_1298,plain,
( complement(X1) != join(complement(join(X1,X_30)),meet(complement(X1),X_30))
| join(complement(join(X1,X_30)),meet(complement(X1),X_30)) = complement(X1) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(complement(X1))),bind(Y,$fot(join(complement(join(X1,X_30)),meet(complement(X1),X_30))))]]) ).
cnf(refute_0_1299,plain,
join(complement(join(X1,X_30)),meet(complement(X1),X_30)) = complement(X1),
inference(resolve,[$cnf( $equal(complement(X1),join(complement(join(X1,X_30)),meet(complement(X1),X_30))) )],[refute_0_1297,refute_0_1298]) ).
cnf(refute_0_1300,plain,
join(complement(join(meet(X0,X1),X_30)),meet(complement(meet(X0,X1)),X_30)) = complement(meet(X0,X1)),
inference(subst,[],[refute_0_1299:[bind(X1,$fot(meet(X0,X1)))]]) ).
cnf(refute_0_1301,plain,
( join(complement(X0),complement(X1)) != join(complement(join(meet(X0,X1),X_30)),meet(complement(meet(X0,X1)),X_30))
| join(complement(join(meet(X0,X1),X_30)),meet(complement(meet(X0,X1)),X_30)) != complement(meet(X0,X1))
| join(complement(X0),complement(X1)) = complement(meet(X0,X1)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(complement(X0),complement(X1)),complement(meet(X0,X1))) ),[0],$fot(join(complement(join(meet(X0,X1),X_30)),meet(complement(meet(X0,X1)),X_30)))]]) ).
cnf(refute_0_1302,plain,
( join(complement(X0),complement(X1)) != join(complement(join(meet(X0,X1),X_30)),meet(complement(meet(X0,X1)),X_30))
| join(complement(X0),complement(X1)) = complement(meet(X0,X1)) ),
inference(resolve,[$cnf( $equal(join(complement(join(meet(X0,X1),X_30)),meet(complement(meet(X0,X1)),X_30)),complement(meet(X0,X1))) )],[refute_0_1300,refute_0_1301]) ).
cnf(refute_0_1303,plain,
join(complement(X0),complement(X1)) = complement(meet(X0,X1)),
inference(resolve,[$cnf( $equal(join(complement(X0),complement(X1)),join(complement(join(meet(X0,X1),X_30)),meet(complement(meet(X0,X1)),X_30))) )],[refute_0_1260,refute_0_1302]) ).
cnf(refute_0_1304,plain,
join(complement(X_75),complement(composition(join(one,one),X_75))) = complement(meet(X_75,composition(join(one,one),X_75))),
inference(subst,[],[refute_0_1303:[bind(X0,$fot(X_75)),bind(X1,$fot(composition(join(one,one),X_75)))]]) ).
cnf(refute_0_1305,plain,
( join(complement(X_75),complement(composition(join(one,one),X_75))) != complement(X_75)
| join(complement(X_75),complement(composition(join(one,one),X_75))) != complement(meet(X_75,composition(join(one,one),X_75)))
| complement(meet(X_75,composition(join(one,one),X_75))) = complement(X_75) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_75),complement(composition(join(one,one),X_75))),complement(X_75)) ),[0],$fot(complement(meet(X_75,composition(join(one,one),X_75))))]]) ).
cnf(refute_0_1306,plain,
( join(complement(X_75),complement(composition(join(one,one),X_75))) != complement(X_75)
| complement(meet(X_75,composition(join(one,one),X_75))) = complement(X_75) ),
inference(resolve,[$cnf( $equal(join(complement(X_75),complement(composition(join(one,one),X_75))),complement(meet(X_75,composition(join(one,one),X_75)))) )],[refute_0_1304,refute_0_1305]) ).
cnf(refute_0_1307,plain,
complement(meet(X_75,composition(join(one,one),X_75))) = complement(X_75),
inference(resolve,[$cnf( $equal(join(complement(X_75),complement(composition(join(one,one),X_75))),complement(X_75)) )],[refute_0_1212,refute_0_1306]) ).
cnf(refute_0_1308,plain,
complement(meet(complement(composition(top,top)),composition(join(one,one),complement(composition(top,top))))) = complement(complement(composition(top,top))),
inference(subst,[],[refute_0_1307:[bind(X_75,$fot(complement(composition(top,top))))]]) ).
cnf(refute_0_1309,plain,
zero = composition(join(one,one),complement(composition(top,top))),
inference(subst,[],[refute_0_1123:[bind(X1,$fot(join(one,one)))]]) ).
cnf(refute_0_1310,plain,
( zero != composition(join(one,one),complement(composition(top,top)))
| composition(join(one,one),complement(composition(top,top))) = zero ),
inference(subst,[],[refute_0_5:[bind(X,$fot(zero)),bind(Y,$fot(composition(join(one,one),complement(composition(top,top)))))]]) ).
cnf(refute_0_1311,plain,
composition(join(one,one),complement(composition(top,top))) = zero,
inference(resolve,[$cnf( $equal(zero,composition(join(one,one),complement(composition(top,top)))) )],[refute_0_1309,refute_0_1310]) ).
cnf(refute_0_1312,plain,
( complement(meet(complement(composition(top,top)),composition(join(one,one),complement(composition(top,top))))) != complement(complement(composition(top,top)))
| composition(join(one,one),complement(composition(top,top))) != zero
| complement(meet(complement(composition(top,top)),zero)) = complement(complement(composition(top,top))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(complement(composition(top,top)),composition(join(one,one),complement(composition(top,top))))),complement(complement(composition(top,top)))) ),[0,0,1],$fot(zero)]]) ).
cnf(refute_0_1313,plain,
( complement(meet(complement(composition(top,top)),composition(join(one,one),complement(composition(top,top))))) != complement(complement(composition(top,top)))
| complement(meet(complement(composition(top,top)),zero)) = complement(complement(composition(top,top))) ),
inference(resolve,[$cnf( $equal(composition(join(one,one),complement(composition(top,top))),zero) )],[refute_0_1311,refute_0_1312]) ).
cnf(refute_0_1314,plain,
complement(meet(complement(composition(top,top)),zero)) = complement(complement(composition(top,top))),
inference(resolve,[$cnf( $equal(complement(meet(complement(composition(top,top)),composition(join(one,one),complement(composition(top,top))))),complement(complement(composition(top,top)))) )],[refute_0_1308,refute_0_1313]) ).
cnf(refute_0_1315,plain,
meet(complement(composition(top,top)),zero) = zero,
inference(subst,[],[refute_0_1012:[bind(X_51,$fot(complement(composition(top,top))))]]) ).
cnf(refute_0_1316,plain,
complement(meet(complement(composition(top,top)),zero)) = complement(meet(complement(composition(top,top)),zero)),
introduced(tautology,[refl,[$fot(complement(meet(complement(composition(top,top)),zero)))]]) ).
cnf(refute_0_1317,plain,
( complement(meet(complement(composition(top,top)),zero)) != complement(meet(complement(composition(top,top)),zero))
| meet(complement(composition(top,top)),zero) != zero
| complement(meet(complement(composition(top,top)),zero)) = complement(zero) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(complement(composition(top,top)),zero)),complement(meet(complement(composition(top,top)),zero))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_1318,plain,
( meet(complement(composition(top,top)),zero) != zero
| complement(meet(complement(composition(top,top)),zero)) = complement(zero) ),
inference(resolve,[$cnf( $equal(complement(meet(complement(composition(top,top)),zero)),complement(meet(complement(composition(top,top)),zero))) )],[refute_0_1316,refute_0_1317]) ).
cnf(refute_0_1319,plain,
complement(meet(complement(composition(top,top)),zero)) = complement(zero),
inference(resolve,[$cnf( $equal(meet(complement(composition(top,top)),zero),zero) )],[refute_0_1315,refute_0_1318]) ).
cnf(refute_0_1320,plain,
( complement(meet(complement(composition(top,top)),zero)) != complement(zero)
| complement(zero) != top
| complement(meet(complement(composition(top,top)),zero)) = top ),
inference(subst,[],[refute_0_41:[bind(X,$fot(complement(meet(complement(composition(top,top)),zero)))),bind(Y,$fot(complement(zero))),bind(Z,$fot(top))]]) ).
cnf(refute_0_1321,plain,
( complement(zero) != top
| complement(meet(complement(composition(top,top)),zero)) = top ),
inference(resolve,[$cnf( $equal(complement(meet(complement(composition(top,top)),zero)),complement(zero)) )],[refute_0_1319,refute_0_1320]) ).
cnf(refute_0_1322,plain,
complement(meet(complement(composition(top,top)),zero)) = top,
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_703,refute_0_1321]) ).
cnf(refute_0_1323,plain,
( complement(meet(complement(composition(top,top)),zero)) != complement(complement(composition(top,top)))
| complement(meet(complement(composition(top,top)),zero)) != top
| top = complement(complement(composition(top,top))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(complement(composition(top,top)),zero)),complement(complement(composition(top,top)))) ),[0],$fot(top)]]) ).
cnf(refute_0_1324,plain,
( complement(meet(complement(composition(top,top)),zero)) != complement(complement(composition(top,top)))
| top = complement(complement(composition(top,top))) ),
inference(resolve,[$cnf( $equal(complement(meet(complement(composition(top,top)),zero)),top) )],[refute_0_1322,refute_0_1323]) ).
cnf(refute_0_1325,plain,
complement(complement(composition(top,top))) = composition(top,top),
inference(subst,[],[refute_0_447:[bind(X1,$fot(composition(top,top)))]]) ).
cnf(refute_0_1326,plain,
( complement(complement(composition(top,top))) != composition(top,top)
| top != complement(complement(composition(top,top)))
| top = composition(top,top) ),
introduced(tautology,[equality,[$cnf( $equal(top,complement(complement(composition(top,top)))) ),[1],$fot(composition(top,top))]]) ).
cnf(refute_0_1327,plain,
( top != complement(complement(composition(top,top)))
| top = composition(top,top) ),
inference(resolve,[$cnf( $equal(complement(complement(composition(top,top))),composition(top,top)) )],[refute_0_1325,refute_0_1326]) ).
cnf(refute_0_1328,plain,
( complement(meet(complement(composition(top,top)),zero)) != complement(complement(composition(top,top)))
| top = composition(top,top) ),
inference(resolve,[$cnf( $equal(top,complement(complement(composition(top,top)))) )],[refute_0_1324,refute_0_1327]) ).
cnf(refute_0_1329,plain,
top = composition(top,top),
inference(resolve,[$cnf( $equal(complement(meet(complement(composition(top,top)),zero)),complement(complement(composition(top,top)))) )],[refute_0_1314,refute_0_1328]) ).
cnf(refute_0_1330,plain,
( top != composition(top,top)
| composition(top,top) = top ),
inference(subst,[],[refute_0_5:[bind(X,$fot(top)),bind(Y,$fot(composition(top,top)))]]) ).
cnf(refute_0_1331,plain,
composition(top,top) = top,
inference(resolve,[$cnf( $equal(top,composition(top,top)) )],[refute_0_1329,refute_0_1330]) ).
cnf(refute_0_1332,plain,
complement(composition(top,top)) = complement(composition(top,top)),
introduced(tautology,[refl,[$fot(complement(composition(top,top)))]]) ).
cnf(refute_0_1333,plain,
( complement(composition(top,top)) != complement(composition(top,top))
| composition(top,top) != top
| complement(composition(top,top)) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(top,top)),complement(composition(top,top))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_1334,plain,
( composition(top,top) != top
| complement(composition(top,top)) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(composition(top,top)),complement(composition(top,top))) )],[refute_0_1332,refute_0_1333]) ).
cnf(refute_0_1335,plain,
complement(composition(top,top)) = complement(top),
inference(resolve,[$cnf( $equal(composition(top,top),top) )],[refute_0_1331,refute_0_1334]) ).
cnf(refute_0_1336,plain,
( complement(composition(top,top)) != complement(top)
| complement(top) != zero
| complement(composition(top,top)) = zero ),
inference(subst,[],[refute_0_41:[bind(X,$fot(complement(composition(top,top)))),bind(Y,$fot(complement(top))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_1337,plain,
( complement(top) != zero
| complement(composition(top,top)) = zero ),
inference(resolve,[$cnf( $equal(complement(composition(top,top)),complement(top)) )],[refute_0_1335,refute_0_1336]) ).
cnf(refute_0_1338,plain,
complement(composition(top,top)) = zero,
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_49,refute_0_1337]) ).
cnf(refute_0_1339,plain,
converse(complement(composition(top,top))) = converse(complement(composition(top,top))),
introduced(tautology,[refl,[$fot(converse(complement(composition(top,top))))]]) ).
cnf(refute_0_1340,plain,
( complement(composition(top,top)) != zero
| converse(complement(composition(top,top))) != converse(complement(composition(top,top)))
| converse(complement(composition(top,top))) = converse(zero) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(composition(top,top))),converse(complement(composition(top,top)))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_1341,plain,
( complement(composition(top,top)) != zero
| converse(complement(composition(top,top))) = converse(zero) ),
inference(resolve,[$cnf( $equal(converse(complement(composition(top,top))),converse(complement(composition(top,top)))) )],[refute_0_1339,refute_0_1340]) ).
cnf(refute_0_1342,plain,
converse(complement(composition(top,top))) = converse(zero),
inference(resolve,[$cnf( $equal(complement(composition(top,top)),zero) )],[refute_0_1338,refute_0_1341]) ).
cnf(refute_0_1343,plain,
( converse(complement(composition(top,top))) != converse(zero)
| converse(zero) != zero
| converse(complement(composition(top,top))) = zero ),
inference(subst,[],[refute_0_41:[bind(X,$fot(converse(complement(composition(top,top))))),bind(Y,$fot(converse(zero))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_1344,plain,
( converse(zero) != zero
| converse(complement(composition(top,top))) = zero ),
inference(resolve,[$cnf( $equal(converse(complement(composition(top,top))),converse(zero)) )],[refute_0_1342,refute_0_1343]) ).
cnf(refute_0_1345,plain,
converse(complement(composition(top,top))) = zero,
inference(resolve,[$cnf( $equal(converse(zero),zero) )],[refute_0_1044,refute_0_1344]) ).
cnf(refute_0_1346,plain,
composition(converse(complement(composition(top,top))),X0) = composition(converse(complement(composition(top,top))),X0),
introduced(tautology,[refl,[$fot(composition(converse(complement(composition(top,top))),X0))]]) ).
cnf(refute_0_1347,plain,
( composition(converse(complement(composition(top,top))),X0) != composition(converse(complement(composition(top,top))),X0)
| converse(complement(composition(top,top))) != zero
| composition(converse(complement(composition(top,top))),X0) = composition(zero,X0) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(complement(composition(top,top))),X0),composition(converse(complement(composition(top,top))),X0)) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_1348,plain,
( converse(complement(composition(top,top))) != zero
| composition(converse(complement(composition(top,top))),X0) = composition(zero,X0) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(composition(top,top))),X0),composition(converse(complement(composition(top,top))),X0)) )],[refute_0_1346,refute_0_1347]) ).
cnf(refute_0_1349,plain,
composition(converse(complement(composition(top,top))),X0) = composition(zero,X0),
inference(resolve,[$cnf( $equal(converse(complement(composition(top,top))),zero) )],[refute_0_1345,refute_0_1348]) ).
cnf(refute_0_1350,plain,
( composition(converse(complement(composition(top,top))),X0) != composition(zero,X0)
| zero != composition(converse(complement(composition(top,top))),X0)
| zero = composition(zero,X0) ),
introduced(tautology,[equality,[$cnf( $equal(zero,composition(converse(complement(composition(top,top))),X0)) ),[1],$fot(composition(zero,X0))]]) ).
cnf(refute_0_1351,plain,
( zero != composition(converse(complement(composition(top,top))),X0)
| zero = composition(zero,X0) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(composition(top,top))),X0),composition(zero,X0)) )],[refute_0_1349,refute_0_1350]) ).
cnf(refute_0_1352,plain,
zero = composition(zero,X0),
inference(resolve,[$cnf( $equal(zero,composition(converse(complement(composition(top,top))),X0)) )],[refute_0_1132,refute_0_1351]) ).
cnf(refute_0_1353,plain,
( zero != composition(zero,X0)
| composition(zero,X0) = zero ),
inference(subst,[],[refute_0_5:[bind(X,$fot(zero)),bind(Y,$fot(composition(zero,X0)))]]) ).
cnf(refute_0_1354,plain,
composition(zero,X0) = zero,
inference(resolve,[$cnf( $equal(zero,composition(zero,X0)) )],[refute_0_1352,refute_0_1353]) ).
cnf(refute_0_1355,plain,
composition(zero,X_147) = zero,
inference(subst,[],[refute_0_1354:[bind(X0,$fot(X_147))]]) ).
cnf(refute_0_1356,plain,
( composition(converse(complement(composition(X_146,top))),composition(X_146,X_147)) != composition(zero,X_147)
| composition(zero,X_147) != zero
| composition(converse(complement(composition(X_146,top))),composition(X_146,X_147)) = zero ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(converse(complement(composition(X_146,top))),composition(X_146,X_147)),zero) ),[0],$fot(composition(zero,X_147))]]) ).
cnf(refute_0_1357,plain,
( composition(converse(complement(composition(X_146,top))),composition(X_146,X_147)) != composition(zero,X_147)
| composition(converse(complement(composition(X_146,top))),composition(X_146,X_147)) = zero ),
inference(resolve,[$cnf( $equal(composition(zero,X_147),zero) )],[refute_0_1355,refute_0_1356]) ).
cnf(refute_0_1358,plain,
composition(converse(complement(composition(X_146,top))),composition(X_146,X_147)) = zero,
inference(resolve,[$cnf( $equal(composition(converse(complement(composition(X_146,top))),composition(X_146,X_147)),composition(zero,X_147)) )],[refute_0_1063,refute_0_1357]) ).
cnf(refute_0_1359,plain,
composition(converse(complement(composition(X_151,top))),composition(X_151,X_152)) = zero,
inference(subst,[],[refute_0_1358:[bind(X_146,$fot(X_151)),bind(X_147,$fot(X_152))]]) ).
cnf(refute_0_1360,plain,
( composition(converse(complement(composition(X_151,top))),composition(X_151,X_152)) != zero
| join(complement(composition(X_151,X_152)),composition(converse(converse(complement(composition(X_151,top)))),complement(composition(converse(complement(composition(X_151,top))),composition(X_151,X_152))))) != complement(composition(X_151,X_152))
| join(complement(composition(X_151,X_152)),composition(converse(converse(complement(composition(X_151,top)))),complement(zero))) = complement(composition(X_151,X_152)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(composition(X_151,X_152)),composition(converse(converse(complement(composition(X_151,top)))),complement(composition(converse(complement(composition(X_151,top))),composition(X_151,X_152))))),complement(composition(X_151,X_152))) ),[0,1,1,0],$fot(zero)]]) ).
cnf(refute_0_1361,plain,
( join(complement(composition(X_151,X_152)),composition(converse(converse(complement(composition(X_151,top)))),complement(composition(converse(complement(composition(X_151,top))),composition(X_151,X_152))))) != complement(composition(X_151,X_152))
| join(complement(composition(X_151,X_152)),composition(converse(converse(complement(composition(X_151,top)))),complement(zero))) = complement(composition(X_151,X_152)) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(composition(X_151,top))),composition(X_151,X_152)),zero) )],[refute_0_1359,refute_0_1360]) ).
cnf(refute_0_1362,plain,
join(complement(composition(X_151,X_152)),composition(converse(converse(complement(composition(X_151,top)))),complement(zero))) = complement(composition(X_151,X_152)),
inference(resolve,[$cnf( $equal(join(complement(composition(X_151,X_152)),composition(converse(converse(complement(composition(X_151,top)))),complement(composition(converse(complement(composition(X_151,top))),composition(X_151,X_152))))),complement(composition(X_151,X_152))) )],[refute_0_12,refute_0_1361]) ).
cnf(refute_0_1363,plain,
composition(complement(composition(X_151,top)),complement(zero)) = composition(complement(composition(X_151,top)),complement(zero)),
introduced(tautology,[refl,[$fot(composition(complement(composition(X_151,top)),complement(zero)))]]) ).
cnf(refute_0_1364,plain,
( complement(zero) != top
| composition(complement(composition(X_151,top)),complement(zero)) != composition(complement(composition(X_151,top)),complement(zero))
| composition(complement(composition(X_151,top)),complement(zero)) = composition(complement(composition(X_151,top)),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(composition(X_151,top)),complement(zero)),composition(complement(composition(X_151,top)),complement(zero))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_1365,plain,
( complement(zero) != top
| composition(complement(composition(X_151,top)),complement(zero)) = composition(complement(composition(X_151,top)),top) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(X_151,top)),complement(zero)),composition(complement(composition(X_151,top)),complement(zero))) )],[refute_0_1363,refute_0_1364]) ).
cnf(refute_0_1366,plain,
composition(complement(composition(X_151,top)),complement(zero)) = composition(complement(composition(X_151,top)),top),
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_703,refute_0_1365]) ).
cnf(refute_0_1367,plain,
converse(converse(complement(composition(X_151,top)))) = complement(composition(X_151,top)),
inference(subst,[],[refute_0_308:[bind(X0,$fot(complement(composition(X_151,top))))]]) ).
cnf(refute_0_1368,plain,
composition(converse(converse(complement(composition(X_151,top)))),complement(zero)) = composition(converse(converse(complement(composition(X_151,top)))),complement(zero)),
introduced(tautology,[refl,[$fot(composition(converse(converse(complement(composition(X_151,top)))),complement(zero)))]]) ).
cnf(refute_0_1369,plain,
( composition(converse(converse(complement(composition(X_151,top)))),complement(zero)) != composition(converse(converse(complement(composition(X_151,top)))),complement(zero))
| converse(converse(complement(composition(X_151,top)))) != complement(composition(X_151,top))
| composition(converse(converse(complement(composition(X_151,top)))),complement(zero)) = composition(complement(composition(X_151,top)),complement(zero)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(converse(complement(composition(X_151,top)))),complement(zero)),composition(converse(converse(complement(composition(X_151,top)))),complement(zero))) ),[1,0],$fot(complement(composition(X_151,top)))]]) ).
cnf(refute_0_1370,plain,
( converse(converse(complement(composition(X_151,top)))) != complement(composition(X_151,top))
| composition(converse(converse(complement(composition(X_151,top)))),complement(zero)) = composition(complement(composition(X_151,top)),complement(zero)) ),
inference(resolve,[$cnf( $equal(composition(converse(converse(complement(composition(X_151,top)))),complement(zero)),composition(converse(converse(complement(composition(X_151,top)))),complement(zero))) )],[refute_0_1368,refute_0_1369]) ).
cnf(refute_0_1371,plain,
composition(converse(converse(complement(composition(X_151,top)))),complement(zero)) = composition(complement(composition(X_151,top)),complement(zero)),
inference(resolve,[$cnf( $equal(converse(converse(complement(composition(X_151,top)))),complement(composition(X_151,top))) )],[refute_0_1367,refute_0_1370]) ).
cnf(refute_0_1372,plain,
( composition(complement(composition(X_151,top)),complement(zero)) != composition(complement(composition(X_151,top)),top)
| composition(converse(converse(complement(composition(X_151,top)))),complement(zero)) != composition(complement(composition(X_151,top)),complement(zero))
| composition(converse(converse(complement(composition(X_151,top)))),complement(zero)) = composition(complement(composition(X_151,top)),top) ),
inference(subst,[],[refute_0_41:[bind(X,$fot(composition(converse(converse(complement(composition(X_151,top)))),complement(zero)))),bind(Y,$fot(composition(complement(composition(X_151,top)),complement(zero)))),bind(Z,$fot(composition(complement(composition(X_151,top)),top)))]]) ).
cnf(refute_0_1373,plain,
( composition(complement(composition(X_151,top)),complement(zero)) != composition(complement(composition(X_151,top)),top)
| composition(converse(converse(complement(composition(X_151,top)))),complement(zero)) = composition(complement(composition(X_151,top)),top) ),
inference(resolve,[$cnf( $equal(composition(converse(converse(complement(composition(X_151,top)))),complement(zero)),composition(complement(composition(X_151,top)),complement(zero))) )],[refute_0_1371,refute_0_1372]) ).
cnf(refute_0_1374,plain,
composition(converse(converse(complement(composition(X_151,top)))),complement(zero)) = composition(complement(composition(X_151,top)),top),
inference(resolve,[$cnf( $equal(composition(complement(composition(X_151,top)),complement(zero)),composition(complement(composition(X_151,top)),top)) )],[refute_0_1366,refute_0_1373]) ).
cnf(refute_0_1375,plain,
join(complement(composition(X_151,X_152)),composition(converse(converse(complement(composition(X_151,top)))),complement(zero))) = join(complement(composition(X_151,X_152)),composition(converse(converse(complement(composition(X_151,top)))),complement(zero))),
introduced(tautology,[refl,[$fot(join(complement(composition(X_151,X_152)),composition(converse(converse(complement(composition(X_151,top)))),complement(zero))))]]) ).
cnf(refute_0_1376,plain,
( composition(converse(converse(complement(composition(X_151,top)))),complement(zero)) != composition(complement(composition(X_151,top)),top)
| join(complement(composition(X_151,X_152)),composition(converse(converse(complement(composition(X_151,top)))),complement(zero))) != join(complement(composition(X_151,X_152)),composition(converse(converse(complement(composition(X_151,top)))),complement(zero)))
| join(complement(composition(X_151,X_152)),composition(converse(converse(complement(composition(X_151,top)))),complement(zero))) = join(complement(composition(X_151,X_152)),composition(complement(composition(X_151,top)),top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(composition(X_151,X_152)),composition(converse(converse(complement(composition(X_151,top)))),complement(zero))),join(complement(composition(X_151,X_152)),composition(converse(converse(complement(composition(X_151,top)))),complement(zero)))) ),[1,1],$fot(composition(complement(composition(X_151,top)),top))]]) ).
cnf(refute_0_1377,plain,
( composition(converse(converse(complement(composition(X_151,top)))),complement(zero)) != composition(complement(composition(X_151,top)),top)
| join(complement(composition(X_151,X_152)),composition(converse(converse(complement(composition(X_151,top)))),complement(zero))) = join(complement(composition(X_151,X_152)),composition(complement(composition(X_151,top)),top)) ),
inference(resolve,[$cnf( $equal(join(complement(composition(X_151,X_152)),composition(converse(converse(complement(composition(X_151,top)))),complement(zero))),join(complement(composition(X_151,X_152)),composition(converse(converse(complement(composition(X_151,top)))),complement(zero)))) )],[refute_0_1375,refute_0_1376]) ).
cnf(refute_0_1378,plain,
join(complement(composition(X_151,X_152)),composition(converse(converse(complement(composition(X_151,top)))),complement(zero))) = join(complement(composition(X_151,X_152)),composition(complement(composition(X_151,top)),top)),
inference(resolve,[$cnf( $equal(composition(converse(converse(complement(composition(X_151,top)))),complement(zero)),composition(complement(composition(X_151,top)),top)) )],[refute_0_1374,refute_0_1377]) ).
cnf(refute_0_1379,plain,
( join(complement(composition(X_151,X_152)),composition(converse(converse(complement(composition(X_151,top)))),complement(zero))) != complement(composition(X_151,X_152))
| join(complement(composition(X_151,X_152)),composition(converse(converse(complement(composition(X_151,top)))),complement(zero))) != join(complement(composition(X_151,X_152)),composition(complement(composition(X_151,top)),top))
| join(complement(composition(X_151,X_152)),composition(complement(composition(X_151,top)),top)) = complement(composition(X_151,X_152)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(composition(X_151,X_152)),composition(converse(converse(complement(composition(X_151,top)))),complement(zero))),complement(composition(X_151,X_152))) ),[0],$fot(join(complement(composition(X_151,X_152)),composition(complement(composition(X_151,top)),top)))]]) ).
cnf(refute_0_1380,plain,
( join(complement(composition(X_151,X_152)),composition(converse(converse(complement(composition(X_151,top)))),complement(zero))) != complement(composition(X_151,X_152))
| join(complement(composition(X_151,X_152)),composition(complement(composition(X_151,top)),top)) = complement(composition(X_151,X_152)) ),
inference(resolve,[$cnf( $equal(join(complement(composition(X_151,X_152)),composition(converse(converse(complement(composition(X_151,top)))),complement(zero))),join(complement(composition(X_151,X_152)),composition(complement(composition(X_151,top)),top))) )],[refute_0_1378,refute_0_1379]) ).
cnf(refute_0_1381,plain,
join(complement(composition(X_151,X_152)),composition(complement(composition(X_151,top)),top)) = complement(composition(X_151,X_152)),
inference(resolve,[$cnf( $equal(join(complement(composition(X_151,X_152)),composition(converse(converse(complement(composition(X_151,top)))),complement(zero))),complement(composition(X_151,X_152))) )],[refute_0_1362,refute_0_1380]) ).
cnf(refute_0_1382,plain,
join(complement(composition(skolemFOFtoCNF_X0,top)),composition(complement(composition(skolemFOFtoCNF_X0,top)),top)) = complement(composition(skolemFOFtoCNF_X0,top)),
inference(subst,[],[refute_0_1381:[bind(X_151,$fot(skolemFOFtoCNF_X0)),bind(X_152,$fot(top))]]) ).
cnf(refute_0_1383,plain,
( complement(composition(skolemFOFtoCNF_X0,top)) != composition(complement(composition(skolemFOFtoCNF_X0,top)),top)
| join(complement(composition(skolemFOFtoCNF_X0,top)),composition(complement(composition(skolemFOFtoCNF_X0,top)),top)) != complement(composition(skolemFOFtoCNF_X0,top))
| join(complement(composition(skolemFOFtoCNF_X0,top)),composition(complement(composition(skolemFOFtoCNF_X0,top)),top)) = composition(complement(composition(skolemFOFtoCNF_X0,top)),top) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(composition(skolemFOFtoCNF_X0,top)),composition(complement(composition(skolemFOFtoCNF_X0,top)),top)),complement(composition(skolemFOFtoCNF_X0,top))) ),[1],$fot(composition(complement(composition(skolemFOFtoCNF_X0,top)),top))]]) ).
cnf(refute_0_1384,plain,
( complement(composition(skolemFOFtoCNF_X0,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( $equal(join(complement(composition(skolemFOFtoCNF_X0,top)),composition(complement(composition(skolemFOFtoCNF_X0,top)),top)),complement(composition(skolemFOFtoCNF_X0,top))) )],[refute_0_1382,refute_0_1383]) ).
cnf(refute_0_1385,plain,
complement(composition(skolemFOFtoCNF_X0,top)) != composition(complement(composition(skolemFOFtoCNF_X0,top)),top),
inference(resolve,[$cnf( $equal(join(complement(composition(skolemFOFtoCNF_X0,top)),composition(complement(composition(skolemFOFtoCNF_X0,top)),top)),composition(complement(composition(skolemFOFtoCNF_X0,top)),top)) )],[refute_0_1384,refute_0_0]) ).
cnf(refute_0_1386,plain,
meet(X0,join(zero,complement(X_10))) = complement(join(complement(X0),complement(join(zero,complement(X_10))))),
inference(subst,[],[refute_0_20:[bind(X1,$fot(join(zero,complement(X_10))))]]) ).
cnf(refute_0_1387,plain,
( complement(join(zero,complement(X_10))) != meet(top,X_10)
| meet(X0,join(zero,complement(X_10))) != complement(join(complement(X0),complement(join(zero,complement(X_10)))))
| meet(X0,join(zero,complement(X_10))) = complement(join(complement(X0),meet(top,X_10))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X0,join(zero,complement(X_10))),complement(join(complement(X0),complement(join(zero,complement(X_10)))))) ),[1,0,1],$fot(meet(top,X_10))]]) ).
cnf(refute_0_1388,plain,
( meet(X0,join(zero,complement(X_10))) != complement(join(complement(X0),complement(join(zero,complement(X_10)))))
| meet(X0,join(zero,complement(X_10))) = complement(join(complement(X0),meet(top,X_10))) ),
inference(resolve,[$cnf( $equal(complement(join(zero,complement(X_10))),meet(top,X_10)) )],[refute_0_129,refute_0_1387]) ).
cnf(refute_0_1389,plain,
meet(X0,join(zero,complement(X_10))) = complement(join(complement(X0),meet(top,X_10))),
inference(resolve,[$cnf( $equal(meet(X0,join(zero,complement(X_10))),complement(join(complement(X0),complement(join(zero,complement(X_10)))))) )],[refute_0_1386,refute_0_1388]) ).
cnf(refute_0_1390,plain,
meet(X0,join(zero,complement(X_10))) = meet(X0,join(zero,complement(X_10))),
introduced(tautology,[refl,[$fot(meet(X0,join(zero,complement(X_10))))]]) ).
cnf(refute_0_1391,plain,
( join(zero,complement(X_10)) != complement(X_10)
| meet(X0,join(zero,complement(X_10))) != meet(X0,join(zero,complement(X_10)))
| meet(X0,join(zero,complement(X_10))) = meet(X0,complement(X_10)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X0,join(zero,complement(X_10))),meet(X0,join(zero,complement(X_10)))) ),[1,1],$fot(complement(X_10))]]) ).
cnf(refute_0_1392,plain,
( join(zero,complement(X_10)) != complement(X_10)
| meet(X0,join(zero,complement(X_10))) = meet(X0,complement(X_10)) ),
inference(resolve,[$cnf( $equal(meet(X0,join(zero,complement(X_10))),meet(X0,join(zero,complement(X_10)))) )],[refute_0_1390,refute_0_1391]) ).
cnf(refute_0_1393,plain,
meet(X0,join(zero,complement(X_10))) = meet(X0,complement(X_10)),
inference(resolve,[$cnf( $equal(join(zero,complement(X_10)),complement(X_10)) )],[refute_0_437,refute_0_1392]) ).
cnf(refute_0_1394,plain,
( meet(X0,join(zero,complement(X_10))) != complement(join(complement(X0),meet(top,X_10)))
| meet(X0,join(zero,complement(X_10))) != meet(X0,complement(X_10))
| meet(X0,complement(X_10)) = complement(join(complement(X0),meet(top,X_10))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X0,join(zero,complement(X_10))),complement(join(complement(X0),meet(top,X_10)))) ),[0],$fot(meet(X0,complement(X_10)))]]) ).
cnf(refute_0_1395,plain,
( meet(X0,join(zero,complement(X_10))) != complement(join(complement(X0),meet(top,X_10)))
| meet(X0,complement(X_10)) = complement(join(complement(X0),meet(top,X_10))) ),
inference(resolve,[$cnf( $equal(meet(X0,join(zero,complement(X_10))),meet(X0,complement(X_10))) )],[refute_0_1393,refute_0_1394]) ).
cnf(refute_0_1396,plain,
join(complement(X0),meet(top,X_10)) = join(complement(X0),meet(top,X_10)),
introduced(tautology,[refl,[$fot(join(complement(X0),meet(top,X_10)))]]) ).
cnf(refute_0_1397,plain,
( join(complement(X0),meet(top,X_10)) != join(complement(X0),meet(top,X_10))
| meet(top,X_10) != X_10
| join(complement(X0),meet(top,X_10)) = join(complement(X0),X_10) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X0),meet(top,X_10)),join(complement(X0),meet(top,X_10))) ),[1,1],$fot(X_10)]]) ).
cnf(refute_0_1398,plain,
( meet(top,X_10) != X_10
| join(complement(X0),meet(top,X_10)) = join(complement(X0),X_10) ),
inference(resolve,[$cnf( $equal(join(complement(X0),meet(top,X_10)),join(complement(X0),meet(top,X_10))) )],[refute_0_1396,refute_0_1397]) ).
cnf(refute_0_1399,plain,
join(complement(X0),meet(top,X_10)) = join(complement(X0),X_10),
inference(resolve,[$cnf( $equal(meet(top,X_10),X_10) )],[refute_0_418,refute_0_1398]) ).
cnf(refute_0_1400,plain,
complement(join(complement(X0),meet(top,X_10))) = complement(join(complement(X0),meet(top,X_10))),
introduced(tautology,[refl,[$fot(complement(join(complement(X0),meet(top,X_10))))]]) ).
cnf(refute_0_1401,plain,
( complement(join(complement(X0),meet(top,X_10))) != complement(join(complement(X0),meet(top,X_10)))
| join(complement(X0),meet(top,X_10)) != join(complement(X0),X_10)
| complement(join(complement(X0),meet(top,X_10))) = complement(join(complement(X0),X_10)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(X0),meet(top,X_10))),complement(join(complement(X0),meet(top,X_10)))) ),[1,0],$fot(join(complement(X0),X_10))]]) ).
cnf(refute_0_1402,plain,
( join(complement(X0),meet(top,X_10)) != join(complement(X0),X_10)
| complement(join(complement(X0),meet(top,X_10))) = complement(join(complement(X0),X_10)) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X0),meet(top,X_10))),complement(join(complement(X0),meet(top,X_10)))) )],[refute_0_1400,refute_0_1401]) ).
cnf(refute_0_1403,plain,
complement(join(complement(X0),meet(top,X_10))) = complement(join(complement(X0),X_10)),
inference(resolve,[$cnf( $equal(join(complement(X0),meet(top,X_10)),join(complement(X0),X_10)) )],[refute_0_1399,refute_0_1402]) ).
cnf(refute_0_1404,plain,
( complement(join(complement(X0),meet(top,X_10))) != complement(join(complement(X0),X_10))
| meet(X0,complement(X_10)) != complement(join(complement(X0),meet(top,X_10)))
| meet(X0,complement(X_10)) = complement(join(complement(X0),X_10)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X0,complement(X_10)),complement(join(complement(X0),meet(top,X_10)))) ),[1],$fot(complement(join(complement(X0),X_10)))]]) ).
cnf(refute_0_1405,plain,
( meet(X0,complement(X_10)) != complement(join(complement(X0),meet(top,X_10)))
| meet(X0,complement(X_10)) = complement(join(complement(X0),X_10)) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X0),meet(top,X_10))),complement(join(complement(X0),X_10))) )],[refute_0_1403,refute_0_1404]) ).
cnf(refute_0_1406,plain,
( meet(X0,join(zero,complement(X_10))) != complement(join(complement(X0),meet(top,X_10)))
| meet(X0,complement(X_10)) = complement(join(complement(X0),X_10)) ),
inference(resolve,[$cnf( $equal(meet(X0,complement(X_10)),complement(join(complement(X0),meet(top,X_10)))) )],[refute_0_1395,refute_0_1405]) ).
cnf(refute_0_1407,plain,
meet(X0,complement(X_10)) = complement(join(complement(X0),X_10)),
inference(resolve,[$cnf( $equal(meet(X0,join(zero,complement(X_10))),complement(join(complement(X0),meet(top,X_10)))) )],[refute_0_1389,refute_0_1406]) ).
cnf(refute_0_1408,plain,
meet(X_305,complement(composition(complement(composition(complement(complement(X_305)),top)),top))) = complement(join(complement(X_305),composition(complement(composition(complement(complement(X_305)),top)),top))),
inference(subst,[],[refute_0_1407:[bind(X0,$fot(X_305)),bind(X_10,$fot(composition(complement(composition(complement(complement(X_305)),top)),top)))]]) ).
cnf(refute_0_1409,plain,
join(complement(X_75),composition(converse(converse(X0)),complement(composition(converse(X0),X_75)))) = complement(X_75),
inference(subst,[],[refute_0_11:[bind(X0,$fot(converse(X0))),bind(X1,$fot(X_75))]]) ).
cnf(refute_0_1410,plain,
( converse(converse(X0)) != X0
| join(complement(X_75),composition(converse(converse(X0)),complement(composition(converse(X0),X_75)))) != complement(X_75)
| join(complement(X_75),composition(X0,complement(composition(converse(X0),X_75)))) = complement(X_75) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_75),composition(converse(converse(X0)),complement(composition(converse(X0),X_75)))),complement(X_75)) ),[0,1,0],$fot(X0)]]) ).
cnf(refute_0_1411,plain,
( join(complement(X_75),composition(converse(converse(X0)),complement(composition(converse(X0),X_75)))) != complement(X_75)
| join(complement(X_75),composition(X0,complement(composition(converse(X0),X_75)))) = complement(X_75) ),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_0_308,refute_0_1410]) ).
cnf(refute_0_1412,plain,
join(complement(X_75),composition(X0,complement(composition(converse(X0),X_75)))) = complement(X_75),
inference(resolve,[$cnf( $equal(join(complement(X_75),composition(converse(converse(X0)),complement(composition(converse(X0),X_75)))),complement(X_75)) )],[refute_0_1409,refute_0_1411]) ).
cnf(refute_0_1413,plain,
join(complement(complement(X1)),composition(X_108,complement(composition(converse(X_108),complement(X1))))) = complement(complement(X1)),
inference(subst,[],[refute_0_1412:[bind(X0,$fot(X_108)),bind(X_75,$fot(complement(X1)))]]) ).
cnf(refute_0_1414,plain,
( complement(complement(X1)) != X1
| join(complement(complement(X1)),composition(X_108,complement(composition(converse(X_108),complement(X1))))) != complement(complement(X1))
| join(X1,composition(X_108,complement(composition(converse(X_108),complement(X1))))) = complement(complement(X1)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(X1)),composition(X_108,complement(composition(converse(X_108),complement(X1))))),complement(complement(X1))) ),[0,0],$fot(X1)]]) ).
cnf(refute_0_1415,plain,
( join(complement(complement(X1)),composition(X_108,complement(composition(converse(X_108),complement(X1))))) != complement(complement(X1))
| join(X1,composition(X_108,complement(composition(converse(X_108),complement(X1))))) = complement(complement(X1)) ),
inference(resolve,[$cnf( $equal(complement(complement(X1)),X1) )],[refute_0_447,refute_0_1414]) ).
cnf(refute_0_1416,plain,
join(X1,composition(X_108,complement(composition(converse(X_108),complement(X1))))) = complement(complement(X1)),
inference(resolve,[$cnf( $equal(join(complement(complement(X1)),composition(X_108,complement(composition(converse(X_108),complement(X1))))),complement(complement(X1))) )],[refute_0_1413,refute_0_1415]) ).
cnf(refute_0_1417,plain,
( complement(complement(X1)) != X1
| join(X1,composition(X_108,complement(composition(converse(X_108),complement(X1))))) != complement(complement(X1))
| join(X1,composition(X_108,complement(composition(converse(X_108),complement(X1))))) = X1 ),
introduced(tautology,[equality,[$cnf( $equal(join(X1,composition(X_108,complement(composition(converse(X_108),complement(X1))))),complement(complement(X1))) ),[1],$fot(X1)]]) ).
cnf(refute_0_1418,plain,
( join(X1,composition(X_108,complement(composition(converse(X_108),complement(X1))))) != complement(complement(X1))
| join(X1,composition(X_108,complement(composition(converse(X_108),complement(X1))))) = X1 ),
inference(resolve,[$cnf( $equal(complement(complement(X1)),X1) )],[refute_0_447,refute_0_1417]) ).
cnf(refute_0_1419,plain,
join(X1,composition(X_108,complement(composition(converse(X_108),complement(X1))))) = X1,
inference(resolve,[$cnf( $equal(join(X1,composition(X_108,complement(composition(converse(X_108),complement(X1))))),complement(complement(X1))) )],[refute_0_1416,refute_0_1418]) ).
cnf(refute_0_1420,plain,
join(X_120,composition(complement(composition(complement(X_120),top)),complement(composition(converse(complement(composition(complement(X_120),top))),complement(X_120))))) = X_120,
inference(subst,[],[refute_0_1419:[bind(X1,$fot(X_120)),bind(X_108,$fot(complement(composition(complement(X_120),top))))]]) ).
cnf(refute_0_1421,plain,
zero = composition(converse(complement(composition(complement(X_120),top))),complement(X_120)),
inference(subst,[],[refute_0_1057:[bind(X_88,$fot(complement(X_120)))]]) ).
cnf(refute_0_1422,plain,
( zero != composition(converse(complement(composition(complement(X_120),top))),complement(X_120))
| composition(converse(complement(composition(complement(X_120),top))),complement(X_120)) = zero ),
inference(subst,[],[refute_0_5:[bind(X,$fot(zero)),bind(Y,$fot(composition(converse(complement(composition(complement(X_120),top))),complement(X_120))))]]) ).
cnf(refute_0_1423,plain,
composition(converse(complement(composition(complement(X_120),top))),complement(X_120)) = zero,
inference(resolve,[$cnf( $equal(zero,composition(converse(complement(composition(complement(X_120),top))),complement(X_120))) )],[refute_0_1421,refute_0_1422]) ).
cnf(refute_0_1424,plain,
( composition(converse(complement(composition(complement(X_120),top))),complement(X_120)) != zero
| join(X_120,composition(complement(composition(complement(X_120),top)),complement(composition(converse(complement(composition(complement(X_120),top))),complement(X_120))))) != X_120
| join(X_120,composition(complement(composition(complement(X_120),top)),complement(zero))) = X_120 ),
introduced(tautology,[equality,[$cnf( $equal(join(X_120,composition(complement(composition(complement(X_120),top)),complement(composition(converse(complement(composition(complement(X_120),top))),complement(X_120))))),X_120) ),[0,1,1,0],$fot(zero)]]) ).
cnf(refute_0_1425,plain,
( join(X_120,composition(complement(composition(complement(X_120),top)),complement(composition(converse(complement(composition(complement(X_120),top))),complement(X_120))))) != X_120
| join(X_120,composition(complement(composition(complement(X_120),top)),complement(zero))) = X_120 ),
inference(resolve,[$cnf( $equal(composition(converse(complement(composition(complement(X_120),top))),complement(X_120)),zero) )],[refute_0_1423,refute_0_1424]) ).
cnf(refute_0_1426,plain,
join(X_120,composition(complement(composition(complement(X_120),top)),complement(zero))) = X_120,
inference(resolve,[$cnf( $equal(join(X_120,composition(complement(composition(complement(X_120),top)),complement(composition(converse(complement(composition(complement(X_120),top))),complement(X_120))))),X_120) )],[refute_0_1420,refute_0_1425]) ).
cnf(refute_0_1427,plain,
composition(complement(composition(complement(X_120),top)),complement(zero)) = composition(complement(composition(complement(X_120),top)),complement(zero)),
introduced(tautology,[refl,[$fot(composition(complement(composition(complement(X_120),top)),complement(zero)))]]) ).
cnf(refute_0_1428,plain,
( complement(zero) != top
| composition(complement(composition(complement(X_120),top)),complement(zero)) != composition(complement(composition(complement(X_120),top)),complement(zero))
| composition(complement(composition(complement(X_120),top)),complement(zero)) = composition(complement(composition(complement(X_120),top)),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(composition(complement(X_120),top)),complement(zero)),composition(complement(composition(complement(X_120),top)),complement(zero))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_1429,plain,
( complement(zero) != top
| composition(complement(composition(complement(X_120),top)),complement(zero)) = composition(complement(composition(complement(X_120),top)),top) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(complement(X_120),top)),complement(zero)),composition(complement(composition(complement(X_120),top)),complement(zero))) )],[refute_0_1427,refute_0_1428]) ).
cnf(refute_0_1430,plain,
composition(complement(composition(complement(X_120),top)),complement(zero)) = composition(complement(composition(complement(X_120),top)),top),
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_703,refute_0_1429]) ).
cnf(refute_0_1431,plain,
join(X_120,composition(complement(composition(complement(X_120),top)),complement(zero))) = join(X_120,composition(complement(composition(complement(X_120),top)),complement(zero))),
introduced(tautology,[refl,[$fot(join(X_120,composition(complement(composition(complement(X_120),top)),complement(zero))))]]) ).
cnf(refute_0_1432,plain,
( composition(complement(composition(complement(X_120),top)),complement(zero)) != composition(complement(composition(complement(X_120),top)),top)
| join(X_120,composition(complement(composition(complement(X_120),top)),complement(zero))) != join(X_120,composition(complement(composition(complement(X_120),top)),complement(zero)))
| join(X_120,composition(complement(composition(complement(X_120),top)),complement(zero))) = join(X_120,composition(complement(composition(complement(X_120),top)),top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_120,composition(complement(composition(complement(X_120),top)),complement(zero))),join(X_120,composition(complement(composition(complement(X_120),top)),complement(zero)))) ),[1,1],$fot(composition(complement(composition(complement(X_120),top)),top))]]) ).
cnf(refute_0_1433,plain,
( composition(complement(composition(complement(X_120),top)),complement(zero)) != composition(complement(composition(complement(X_120),top)),top)
| join(X_120,composition(complement(composition(complement(X_120),top)),complement(zero))) = join(X_120,composition(complement(composition(complement(X_120),top)),top)) ),
inference(resolve,[$cnf( $equal(join(X_120,composition(complement(composition(complement(X_120),top)),complement(zero))),join(X_120,composition(complement(composition(complement(X_120),top)),complement(zero)))) )],[refute_0_1431,refute_0_1432]) ).
cnf(refute_0_1434,plain,
join(X_120,composition(complement(composition(complement(X_120),top)),complement(zero))) = join(X_120,composition(complement(composition(complement(X_120),top)),top)),
inference(resolve,[$cnf( $equal(composition(complement(composition(complement(X_120),top)),complement(zero)),composition(complement(composition(complement(X_120),top)),top)) )],[refute_0_1430,refute_0_1433]) ).
cnf(refute_0_1435,plain,
( join(X_120,composition(complement(composition(complement(X_120),top)),complement(zero))) != X_120
| join(X_120,composition(complement(composition(complement(X_120),top)),complement(zero))) != join(X_120,composition(complement(composition(complement(X_120),top)),top))
| join(X_120,composition(complement(composition(complement(X_120),top)),top)) = X_120 ),
introduced(tautology,[equality,[$cnf( $equal(join(X_120,composition(complement(composition(complement(X_120),top)),complement(zero))),X_120) ),[0],$fot(join(X_120,composition(complement(composition(complement(X_120),top)),top)))]]) ).
cnf(refute_0_1436,plain,
( join(X_120,composition(complement(composition(complement(X_120),top)),complement(zero))) != X_120
| join(X_120,composition(complement(composition(complement(X_120),top)),top)) = X_120 ),
inference(resolve,[$cnf( $equal(join(X_120,composition(complement(composition(complement(X_120),top)),complement(zero))),join(X_120,composition(complement(composition(complement(X_120),top)),top))) )],[refute_0_1434,refute_0_1435]) ).
cnf(refute_0_1437,plain,
join(X_120,composition(complement(composition(complement(X_120),top)),top)) = X_120,
inference(resolve,[$cnf( $equal(join(X_120,composition(complement(composition(complement(X_120),top)),complement(zero))),X_120) )],[refute_0_1426,refute_0_1436]) ).
cnf(refute_0_1438,plain,
join(complement(X_305),composition(complement(composition(complement(complement(X_305)),top)),top)) = complement(X_305),
inference(subst,[],[refute_0_1437:[bind(X_120,$fot(complement(X_305)))]]) ).
cnf(refute_0_1439,plain,
( join(complement(X_305),composition(complement(composition(complement(complement(X_305)),top)),top)) != complement(X_305)
| meet(X_305,complement(composition(complement(composition(complement(complement(X_305)),top)),top))) != complement(join(complement(X_305),composition(complement(composition(complement(complement(X_305)),top)),top)))
| meet(X_305,complement(composition(complement(composition(complement(complement(X_305)),top)),top))) = complement(complement(X_305)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_305,complement(composition(complement(composition(complement(complement(X_305)),top)),top))),complement(join(complement(X_305),composition(complement(composition(complement(complement(X_305)),top)),top)))) ),[1,0],$fot(complement(X_305))]]) ).
cnf(refute_0_1440,plain,
( meet(X_305,complement(composition(complement(composition(complement(complement(X_305)),top)),top))) != complement(join(complement(X_305),composition(complement(composition(complement(complement(X_305)),top)),top)))
| meet(X_305,complement(composition(complement(composition(complement(complement(X_305)),top)),top))) = complement(complement(X_305)) ),
inference(resolve,[$cnf( $equal(join(complement(X_305),composition(complement(composition(complement(complement(X_305)),top)),top)),complement(X_305)) )],[refute_0_1438,refute_0_1439]) ).
cnf(refute_0_1441,plain,
meet(X_305,complement(composition(complement(composition(complement(complement(X_305)),top)),top))) = complement(complement(X_305)),
inference(resolve,[$cnf( $equal(meet(X_305,complement(composition(complement(composition(complement(complement(X_305)),top)),top))),complement(join(complement(X_305),composition(complement(composition(complement(complement(X_305)),top)),top)))) )],[refute_0_1408,refute_0_1440]) ).
cnf(refute_0_1442,plain,
complement(complement(X_305)) = X_305,
inference(subst,[],[refute_0_447:[bind(X1,$fot(X_305))]]) ).
cnf(refute_0_1443,plain,
composition(complement(complement(X_305)),top) = composition(complement(complement(X_305)),top),
introduced(tautology,[refl,[$fot(composition(complement(complement(X_305)),top))]]) ).
cnf(refute_0_1444,plain,
( complement(complement(X_305)) != X_305
| composition(complement(complement(X_305)),top) != composition(complement(complement(X_305)),top)
| composition(complement(complement(X_305)),top) = composition(X_305,top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(complement(X_305)),top),composition(complement(complement(X_305)),top)) ),[1,0],$fot(X_305)]]) ).
cnf(refute_0_1445,plain,
( complement(complement(X_305)) != X_305
| composition(complement(complement(X_305)),top) = composition(X_305,top) ),
inference(resolve,[$cnf( $equal(composition(complement(complement(X_305)),top),composition(complement(complement(X_305)),top)) )],[refute_0_1443,refute_0_1444]) ).
cnf(refute_0_1446,plain,
composition(complement(complement(X_305)),top) = composition(X_305,top),
inference(resolve,[$cnf( $equal(complement(complement(X_305)),X_305) )],[refute_0_1442,refute_0_1445]) ).
cnf(refute_0_1447,plain,
complement(composition(complement(complement(X_305)),top)) = complement(composition(complement(complement(X_305)),top)),
introduced(tautology,[refl,[$fot(complement(composition(complement(complement(X_305)),top)))]]) ).
cnf(refute_0_1448,plain,
( complement(composition(complement(complement(X_305)),top)) != complement(composition(complement(complement(X_305)),top))
| composition(complement(complement(X_305)),top) != composition(X_305,top)
| complement(composition(complement(complement(X_305)),top)) = complement(composition(X_305,top)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(complement(complement(X_305)),top)),complement(composition(complement(complement(X_305)),top))) ),[1,0],$fot(composition(X_305,top))]]) ).
cnf(refute_0_1449,plain,
( composition(complement(complement(X_305)),top) != composition(X_305,top)
| complement(composition(complement(complement(X_305)),top)) = complement(composition(X_305,top)) ),
inference(resolve,[$cnf( $equal(complement(composition(complement(complement(X_305)),top)),complement(composition(complement(complement(X_305)),top))) )],[refute_0_1447,refute_0_1448]) ).
cnf(refute_0_1450,plain,
complement(composition(complement(complement(X_305)),top)) = complement(composition(X_305,top)),
inference(resolve,[$cnf( $equal(composition(complement(complement(X_305)),top),composition(X_305,top)) )],[refute_0_1446,refute_0_1449]) ).
cnf(refute_0_1451,plain,
composition(complement(composition(complement(complement(X_305)),top)),top) = composition(complement(composition(complement(complement(X_305)),top)),top),
introduced(tautology,[refl,[$fot(composition(complement(composition(complement(complement(X_305)),top)),top))]]) ).
cnf(refute_0_1452,plain,
( complement(composition(complement(complement(X_305)),top)) != complement(composition(X_305,top))
| composition(complement(composition(complement(complement(X_305)),top)),top) != composition(complement(composition(complement(complement(X_305)),top)),top)
| composition(complement(composition(complement(complement(X_305)),top)),top) = composition(complement(composition(X_305,top)),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(composition(complement(complement(X_305)),top)),top),composition(complement(composition(complement(complement(X_305)),top)),top)) ),[1,0],$fot(complement(composition(X_305,top)))]]) ).
cnf(refute_0_1453,plain,
( complement(composition(complement(complement(X_305)),top)) != complement(composition(X_305,top))
| composition(complement(composition(complement(complement(X_305)),top)),top) = composition(complement(composition(X_305,top)),top) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(complement(complement(X_305)),top)),top),composition(complement(composition(complement(complement(X_305)),top)),top)) )],[refute_0_1451,refute_0_1452]) ).
cnf(refute_0_1454,plain,
composition(complement(composition(complement(complement(X_305)),top)),top) = composition(complement(composition(X_305,top)),top),
inference(resolve,[$cnf( $equal(complement(composition(complement(complement(X_305)),top)),complement(composition(X_305,top))) )],[refute_0_1450,refute_0_1453]) ).
cnf(refute_0_1455,plain,
complement(composition(complement(composition(complement(complement(X_305)),top)),top)) = complement(composition(complement(composition(complement(complement(X_305)),top)),top)),
introduced(tautology,[refl,[$fot(complement(composition(complement(composition(complement(complement(X_305)),top)),top)))]]) ).
cnf(refute_0_1456,plain,
( complement(composition(complement(composition(complement(complement(X_305)),top)),top)) != complement(composition(complement(composition(complement(complement(X_305)),top)),top))
| composition(complement(composition(complement(complement(X_305)),top)),top) != composition(complement(composition(X_305,top)),top)
| complement(composition(complement(composition(complement(complement(X_305)),top)),top)) = complement(composition(complement(composition(X_305,top)),top)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(complement(composition(complement(complement(X_305)),top)),top)),complement(composition(complement(composition(complement(complement(X_305)),top)),top))) ),[1,0],$fot(composition(complement(composition(X_305,top)),top))]]) ).
cnf(refute_0_1457,plain,
( composition(complement(composition(complement(complement(X_305)),top)),top) != composition(complement(composition(X_305,top)),top)
| complement(composition(complement(composition(complement(complement(X_305)),top)),top)) = complement(composition(complement(composition(X_305,top)),top)) ),
inference(resolve,[$cnf( $equal(complement(composition(complement(composition(complement(complement(X_305)),top)),top)),complement(composition(complement(composition(complement(complement(X_305)),top)),top))) )],[refute_0_1455,refute_0_1456]) ).
cnf(refute_0_1458,plain,
complement(composition(complement(composition(complement(complement(X_305)),top)),top)) = complement(composition(complement(composition(X_305,top)),top)),
inference(resolve,[$cnf( $equal(composition(complement(composition(complement(complement(X_305)),top)),top),composition(complement(composition(X_305,top)),top)) )],[refute_0_1454,refute_0_1457]) ).
cnf(refute_0_1459,plain,
meet(X_305,complement(composition(complement(composition(complement(complement(X_305)),top)),top))) = meet(X_305,complement(composition(complement(composition(complement(complement(X_305)),top)),top))),
introduced(tautology,[refl,[$fot(meet(X_305,complement(composition(complement(composition(complement(complement(X_305)),top)),top))))]]) ).
cnf(refute_0_1460,plain,
( complement(composition(complement(composition(complement(complement(X_305)),top)),top)) != complement(composition(complement(composition(X_305,top)),top))
| meet(X_305,complement(composition(complement(composition(complement(complement(X_305)),top)),top))) != meet(X_305,complement(composition(complement(composition(complement(complement(X_305)),top)),top)))
| meet(X_305,complement(composition(complement(composition(complement(complement(X_305)),top)),top))) = meet(X_305,complement(composition(complement(composition(X_305,top)),top))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_305,complement(composition(complement(composition(complement(complement(X_305)),top)),top))),meet(X_305,complement(composition(complement(composition(complement(complement(X_305)),top)),top)))) ),[1,1],$fot(complement(composition(complement(composition(X_305,top)),top)))]]) ).
cnf(refute_0_1461,plain,
( complement(composition(complement(composition(complement(complement(X_305)),top)),top)) != complement(composition(complement(composition(X_305,top)),top))
| meet(X_305,complement(composition(complement(composition(complement(complement(X_305)),top)),top))) = meet(X_305,complement(composition(complement(composition(X_305,top)),top))) ),
inference(resolve,[$cnf( $equal(meet(X_305,complement(composition(complement(composition(complement(complement(X_305)),top)),top))),meet(X_305,complement(composition(complement(composition(complement(complement(X_305)),top)),top)))) )],[refute_0_1459,refute_0_1460]) ).
cnf(refute_0_1462,plain,
meet(X_305,complement(composition(complement(composition(complement(complement(X_305)),top)),top))) = meet(X_305,complement(composition(complement(composition(X_305,top)),top))),
inference(resolve,[$cnf( $equal(complement(composition(complement(composition(complement(complement(X_305)),top)),top)),complement(composition(complement(composition(X_305,top)),top))) )],[refute_0_1458,refute_0_1461]) ).
cnf(refute_0_1463,plain,
( meet(X_305,complement(composition(complement(composition(complement(complement(X_305)),top)),top))) != complement(complement(X_305))
| meet(X_305,complement(composition(complement(composition(complement(complement(X_305)),top)),top))) != meet(X_305,complement(composition(complement(composition(X_305,top)),top)))
| meet(X_305,complement(composition(complement(composition(X_305,top)),top))) = complement(complement(X_305)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_305,complement(composition(complement(composition(complement(complement(X_305)),top)),top))),complement(complement(X_305))) ),[0],$fot(meet(X_305,complement(composition(complement(composition(X_305,top)),top))))]]) ).
cnf(refute_0_1464,plain,
( meet(X_305,complement(composition(complement(composition(complement(complement(X_305)),top)),top))) != complement(complement(X_305))
| meet(X_305,complement(composition(complement(composition(X_305,top)),top))) = complement(complement(X_305)) ),
inference(resolve,[$cnf( $equal(meet(X_305,complement(composition(complement(composition(complement(complement(X_305)),top)),top))),meet(X_305,complement(composition(complement(composition(X_305,top)),top)))) )],[refute_0_1462,refute_0_1463]) ).
cnf(refute_0_1465,plain,
( complement(complement(X_305)) != X_305
| meet(X_305,complement(composition(complement(composition(X_305,top)),top))) != complement(complement(X_305))
| meet(X_305,complement(composition(complement(composition(X_305,top)),top))) = X_305 ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_305,complement(composition(complement(composition(X_305,top)),top))),complement(complement(X_305))) ),[1],$fot(X_305)]]) ).
cnf(refute_0_1466,plain,
( meet(X_305,complement(composition(complement(composition(X_305,top)),top))) != complement(complement(X_305))
| meet(X_305,complement(composition(complement(composition(X_305,top)),top))) = X_305 ),
inference(resolve,[$cnf( $equal(complement(complement(X_305)),X_305) )],[refute_0_1442,refute_0_1465]) ).
cnf(refute_0_1467,plain,
( meet(X_305,complement(composition(complement(composition(complement(complement(X_305)),top)),top))) != complement(complement(X_305))
| meet(X_305,complement(composition(complement(composition(X_305,top)),top))) = X_305 ),
inference(resolve,[$cnf( $equal(meet(X_305,complement(composition(complement(composition(X_305,top)),top))),complement(complement(X_305))) )],[refute_0_1464,refute_0_1466]) ).
cnf(refute_0_1468,plain,
meet(X_305,complement(composition(complement(composition(X_305,top)),top))) = X_305,
inference(resolve,[$cnf( $equal(meet(X_305,complement(composition(complement(composition(complement(complement(X_305)),top)),top))),complement(complement(X_305))) )],[refute_0_1441,refute_0_1467]) ).
cnf(refute_0_1469,plain,
meet(converse(composition(top,X_318)),complement(composition(complement(composition(converse(composition(top,X_318)),top)),top))) = converse(composition(top,X_318)),
inference(subst,[],[refute_0_1468:[bind(X_305,$fot(converse(composition(top,X_318))))]]) ).
cnf(refute_0_1470,plain,
composition(converse(X_17),composition(top,X_147)) = composition(composition(converse(X_17),top),X_147),
inference(subst,[],[refute_0_13:[bind(X0,$fot(converse(X_17))),bind(X1,$fot(top)),bind(X2,$fot(X_147))]]) ).
cnf(refute_0_1471,plain,
converse(composition(converse(top),X_17)) = composition(converse(X_17),top),
inference(subst,[],[refute_0_311:[bind(X0,$fot(top))]]) ).
cnf(refute_0_1472,plain,
( converse(composition(converse(top),X_17)) != composition(converse(X_17),top)
| converse(top) != top
| converse(composition(top,X_17)) = composition(converse(X_17),top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(top),X_17)),composition(converse(X_17),top)) ),[0,0,0],$fot(top)]]) ).
cnf(refute_0_1473,plain,
( converse(composition(converse(top),X_17)) != composition(converse(X_17),top)
| converse(composition(top,X_17)) = composition(converse(X_17),top) ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_1030,refute_0_1472]) ).
cnf(refute_0_1474,plain,
converse(composition(top,X_17)) = composition(converse(X_17),top),
inference(resolve,[$cnf( $equal(converse(composition(converse(top),X_17)),composition(converse(X_17),top)) )],[refute_0_1471,refute_0_1473]) ).
cnf(refute_0_1475,plain,
( converse(composition(top,X_17)) != composition(converse(X_17),top)
| composition(converse(X_17),top) = converse(composition(top,X_17)) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(converse(composition(top,X_17)))),bind(Y,$fot(composition(converse(X_17),top)))]]) ).
cnf(refute_0_1476,plain,
composition(converse(X_17),top) = converse(composition(top,X_17)),
inference(resolve,[$cnf( $equal(converse(composition(top,X_17)),composition(converse(X_17),top)) )],[refute_0_1474,refute_0_1475]) ).
cnf(refute_0_1477,plain,
( composition(converse(X_17),composition(top,X_147)) != composition(composition(converse(X_17),top),X_147)
| composition(converse(X_17),top) != converse(composition(top,X_17))
| composition(converse(X_17),composition(top,X_147)) = composition(converse(composition(top,X_17)),X_147) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(X_17),composition(top,X_147)),composition(composition(converse(X_17),top),X_147)) ),[1,0],$fot(converse(composition(top,X_17)))]]) ).
cnf(refute_0_1478,plain,
( composition(converse(X_17),composition(top,X_147)) != composition(composition(converse(X_17),top),X_147)
| composition(converse(X_17),composition(top,X_147)) = composition(converse(composition(top,X_17)),X_147) ),
inference(resolve,[$cnf( $equal(composition(converse(X_17),top),converse(composition(top,X_17))) )],[refute_0_1476,refute_0_1477]) ).
cnf(refute_0_1479,plain,
composition(converse(X_17),composition(top,X_147)) = composition(converse(composition(top,X_17)),X_147),
inference(resolve,[$cnf( $equal(composition(converse(X_17),composition(top,X_147)),composition(composition(converse(X_17),top),X_147)) )],[refute_0_1470,refute_0_1478]) ).
cnf(refute_0_1480,plain,
composition(converse(X_318),composition(top,top)) = composition(converse(composition(top,X_318)),top),
inference(subst,[],[refute_0_1479:[bind(X_147,$fot(top)),bind(X_17,$fot(X_318))]]) ).
cnf(refute_0_1481,plain,
( composition(converse(X_318),composition(top,top)) != composition(converse(composition(top,X_318)),top)
| composition(converse(composition(top,X_318)),top) = composition(converse(X_318),composition(top,top)) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(composition(converse(X_318),composition(top,top)))),bind(Y,$fot(composition(converse(composition(top,X_318)),top)))]]) ).
cnf(refute_0_1482,plain,
composition(converse(composition(top,X_318)),top) = composition(converse(X_318),composition(top,top)),
inference(resolve,[$cnf( $equal(composition(converse(X_318),composition(top,top)),composition(converse(composition(top,X_318)),top)) )],[refute_0_1480,refute_0_1481]) ).
cnf(refute_0_1483,plain,
( composition(converse(composition(top,X_318)),top) != composition(converse(X_318),composition(top,top))
| meet(converse(composition(top,X_318)),complement(composition(complement(composition(converse(composition(top,X_318)),top)),top))) != converse(composition(top,X_318))
| meet(converse(composition(top,X_318)),complement(composition(complement(composition(converse(X_318),composition(top,top))),top))) = converse(composition(top,X_318)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(composition(top,X_318)),complement(composition(complement(composition(converse(composition(top,X_318)),top)),top))),converse(composition(top,X_318))) ),[0,1,0,0,0],$fot(composition(converse(X_318),composition(top,top)))]]) ).
cnf(refute_0_1484,plain,
( meet(converse(composition(top,X_318)),complement(composition(complement(composition(converse(composition(top,X_318)),top)),top))) != converse(composition(top,X_318))
| meet(converse(composition(top,X_318)),complement(composition(complement(composition(converse(X_318),composition(top,top))),top))) = converse(composition(top,X_318)) ),
inference(resolve,[$cnf( $equal(composition(converse(composition(top,X_318)),top),composition(converse(X_318),composition(top,top))) )],[refute_0_1482,refute_0_1483]) ).
cnf(refute_0_1485,plain,
meet(converse(composition(top,X_318)),complement(composition(complement(composition(converse(X_318),composition(top,top))),top))) = converse(composition(top,X_318)),
inference(resolve,[$cnf( $equal(meet(converse(composition(top,X_318)),complement(composition(complement(composition(converse(composition(top,X_318)),top)),top))),converse(composition(top,X_318))) )],[refute_0_1469,refute_0_1484]) ).
cnf(refute_0_1486,plain,
X_40 = join(meet(X_40,X_39),meet(X_40,complement(X_39))),
inference(subst,[],[refute_0_843:[bind(X1,$fot(X_39)),bind(X_29,$fot(X_40))]]) ).
cnf(refute_0_1487,plain,
meet(complement(X_39),X_40) = meet(X_40,complement(X_39)),
inference(subst,[],[refute_0_142:[bind(X_6,$fot(complement(X_39))),bind(X_7,$fot(X_40))]]) ).
cnf(refute_0_1488,plain,
( meet(complement(X_39),X_40) != meet(X_40,complement(X_39))
| meet(X_40,complement(X_39)) = meet(complement(X_39),X_40) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(meet(complement(X_39),X_40))),bind(Y,$fot(meet(X_40,complement(X_39))))]]) ).
cnf(refute_0_1489,plain,
meet(X_40,complement(X_39)) = meet(complement(X_39),X_40),
inference(resolve,[$cnf( $equal(meet(complement(X_39),X_40),meet(X_40,complement(X_39))) )],[refute_0_1487,refute_0_1488]) ).
cnf(refute_0_1490,plain,
( X_40 != join(meet(X_40,X_39),meet(X_40,complement(X_39)))
| meet(X_40,complement(X_39)) != meet(complement(X_39),X_40)
| X_40 = join(meet(X_40,X_39),meet(complement(X_39),X_40)) ),
introduced(tautology,[equality,[$cnf( $equal(X_40,join(meet(X_40,X_39),meet(X_40,complement(X_39)))) ),[1,1],$fot(meet(complement(X_39),X_40))]]) ).
cnf(refute_0_1491,plain,
( X_40 != join(meet(X_40,X_39),meet(X_40,complement(X_39)))
| X_40 = join(meet(X_40,X_39),meet(complement(X_39),X_40)) ),
inference(resolve,[$cnf( $equal(meet(X_40,complement(X_39)),meet(complement(X_39),X_40)) )],[refute_0_1489,refute_0_1490]) ).
cnf(refute_0_1492,plain,
X_40 = join(meet(X_40,X_39),meet(complement(X_39),X_40)),
inference(resolve,[$cnf( $equal(X_40,join(meet(X_40,X_39),meet(X_40,complement(X_39)))) )],[refute_0_1486,refute_0_1491]) ).
cnf(refute_0_1493,plain,
X_111 = join(meet(X_111,X_110),meet(complement(X_110),X_111)),
inference(subst,[],[refute_0_1492:[bind(X_39,$fot(X_110)),bind(X_40,$fot(X_111))]]) ).
cnf(refute_0_1494,plain,
meet(X_110,X_111) = meet(X_111,X_110),
inference(subst,[],[refute_0_142:[bind(X_6,$fot(X_110)),bind(X_7,$fot(X_111))]]) ).
cnf(refute_0_1495,plain,
( meet(X_110,X_111) != meet(X_111,X_110)
| meet(X_111,X_110) = meet(X_110,X_111) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(meet(X_110,X_111))),bind(Y,$fot(meet(X_111,X_110)))]]) ).
cnf(refute_0_1496,plain,
meet(X_111,X_110) = meet(X_110,X_111),
inference(resolve,[$cnf( $equal(meet(X_110,X_111),meet(X_111,X_110)) )],[refute_0_1494,refute_0_1495]) ).
cnf(refute_0_1497,plain,
( X_111 != join(meet(X_111,X_110),meet(complement(X_110),X_111))
| meet(X_111,X_110) != meet(X_110,X_111)
| X_111 = join(meet(X_110,X_111),meet(complement(X_110),X_111)) ),
introduced(tautology,[equality,[$cnf( $equal(X_111,join(meet(X_111,X_110),meet(complement(X_110),X_111))) ),[1,0],$fot(meet(X_110,X_111))]]) ).
cnf(refute_0_1498,plain,
( X_111 != join(meet(X_111,X_110),meet(complement(X_110),X_111))
| X_111 = join(meet(X_110,X_111),meet(complement(X_110),X_111)) ),
inference(resolve,[$cnf( $equal(meet(X_111,X_110),meet(X_110,X_111)) )],[refute_0_1496,refute_0_1497]) ).
cnf(refute_0_1499,plain,
X_111 = join(meet(X_110,X_111),meet(complement(X_110),X_111)),
inference(resolve,[$cnf( $equal(X_111,join(meet(X_111,X_110),meet(complement(X_110),X_111))) )],[refute_0_1493,refute_0_1498]) ).
cnf(refute_0_1500,plain,
complement(composition(complement(X_110),top)) = join(meet(X_110,complement(composition(complement(X_110),top))),meet(complement(X_110),complement(composition(complement(X_110),top)))),
inference(subst,[],[refute_0_1499:[bind(X_111,$fot(complement(composition(complement(X_110),top))))]]) ).
cnf(refute_0_1501,plain,
meet(X0,complement(composition(X0,top))) = complement(join(complement(X0),composition(X0,top))),
inference(subst,[],[refute_0_1407:[bind(X_10,$fot(composition(X0,top)))]]) ).
cnf(refute_0_1502,plain,
join(converse(X_12),converse(X_11)) = join(converse(X_11),converse(X_12)),
inference(subst,[],[refute_0_2:[bind(X0,$fot(converse(X_12))),bind(X1,$fot(converse(X_11)))]]) ).
cnf(refute_0_1503,plain,
converse(join(X_11,X_12)) = join(converse(X_11),converse(X_12)),
inference(subst,[],[refute_0_480:[bind(X0,$fot(X_11)),bind(X1,$fot(X_12))]]) ).
cnf(refute_0_1504,plain,
( converse(join(X_11,X_12)) != join(converse(X_11),converse(X_12))
| join(converse(X_11),converse(X_12)) = converse(join(X_11,X_12)) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(converse(join(X_11,X_12)))),bind(Y,$fot(join(converse(X_11),converse(X_12))))]]) ).
cnf(refute_0_1505,plain,
join(converse(X_11),converse(X_12)) = converse(join(X_11,X_12)),
inference(resolve,[$cnf( $equal(converse(join(X_11,X_12)),join(converse(X_11),converse(X_12))) )],[refute_0_1503,refute_0_1504]) ).
cnf(refute_0_1506,plain,
( join(converse(X_11),converse(X_12)) != converse(join(X_11,X_12))
| join(converse(X_12),converse(X_11)) != join(converse(X_11),converse(X_12))
| join(converse(X_12),converse(X_11)) = converse(join(X_11,X_12)) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(X_12),converse(X_11)),join(converse(X_11),converse(X_12))) ),[1],$fot(converse(join(X_11,X_12)))]]) ).
cnf(refute_0_1507,plain,
( join(converse(X_12),converse(X_11)) != join(converse(X_11),converse(X_12))
| join(converse(X_12),converse(X_11)) = converse(join(X_11,X_12)) ),
inference(resolve,[$cnf( $equal(join(converse(X_11),converse(X_12)),converse(join(X_11,X_12))) )],[refute_0_1505,refute_0_1506]) ).
cnf(refute_0_1508,plain,
join(converse(X_12),converse(X_11)) = converse(join(X_11,X_12)),
inference(resolve,[$cnf( $equal(join(converse(X_12),converse(X_11)),join(converse(X_11),converse(X_12))) )],[refute_0_1502,refute_0_1507]) ).
cnf(refute_0_1509,plain,
( converse(join(X0,X1)) != join(converse(X0),converse(X1))
| join(converse(X0),converse(X1)) = converse(join(X0,X1)) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(converse(join(X0,X1)))),bind(Y,$fot(join(converse(X0),converse(X1))))]]) ).
cnf(refute_0_1510,plain,
join(converse(X0),converse(X1)) = converse(join(X0,X1)),
inference(resolve,[$cnf( $equal(converse(join(X0,X1)),join(converse(X0),converse(X1))) )],[refute_0_480,refute_0_1509]) ).
cnf(refute_0_1511,plain,
join(converse(X_12),converse(X_11)) = converse(join(X_12,X_11)),
inference(subst,[],[refute_0_1510:[bind(X0,$fot(X_12)),bind(X1,$fot(X_11))]]) ).
cnf(refute_0_1512,plain,
( join(converse(X_12),converse(X_11)) != converse(join(X_11,X_12))
| join(converse(X_12),converse(X_11)) != converse(join(X_12,X_11))
| converse(join(X_12,X_11)) = converse(join(X_11,X_12)) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(X_12),converse(X_11)),converse(join(X_11,X_12))) ),[0],$fot(converse(join(X_12,X_11)))]]) ).
cnf(refute_0_1513,plain,
( join(converse(X_12),converse(X_11)) != converse(join(X_11,X_12))
| converse(join(X_12,X_11)) = converse(join(X_11,X_12)) ),
inference(resolve,[$cnf( $equal(join(converse(X_12),converse(X_11)),converse(join(X_12,X_11))) )],[refute_0_1511,refute_0_1512]) ).
cnf(refute_0_1514,plain,
converse(join(X_12,X_11)) = converse(join(X_11,X_12)),
inference(resolve,[$cnf( $equal(join(converse(X_12),converse(X_11)),converse(join(X_11,X_12))) )],[refute_0_1508,refute_0_1513]) ).
cnf(refute_0_1515,plain,
converse(join(converse(composition(X_144,top)),complement(converse(X_144)))) = converse(join(complement(converse(X_144)),converse(composition(X_144,top)))),
inference(subst,[],[refute_0_1514:[bind(X_11,$fot(complement(converse(X_144)))),bind(X_12,$fot(converse(composition(X_144,top))))]]) ).
cnf(refute_0_1516,plain,
join(X_126,join(complement(X_126),X_128)) = join(join(X_126,complement(X_126)),X_128),
inference(subst,[],[refute_0_101:[bind(X0,$fot(X_126)),bind(X1,$fot(complement(X_126))),bind(X2,$fot(X_128))]]) ).
cnf(refute_0_1517,plain,
top = join(X_126,complement(X_126)),
inference(subst,[],[refute_0_27:[bind(X0,$fot(X_126))]]) ).
cnf(refute_0_1518,plain,
( top != join(X_126,complement(X_126))
| join(X_126,complement(X_126)) = top ),
inference(subst,[],[refute_0_5:[bind(X,$fot(top)),bind(Y,$fot(join(X_126,complement(X_126))))]]) ).
cnf(refute_0_1519,plain,
join(X_126,complement(X_126)) = top,
inference(resolve,[$cnf( $equal(top,join(X_126,complement(X_126))) )],[refute_0_1517,refute_0_1518]) ).
cnf(refute_0_1520,plain,
( join(X_126,complement(X_126)) != top
| join(X_126,join(complement(X_126),X_128)) != join(join(X_126,complement(X_126)),X_128)
| join(X_126,join(complement(X_126),X_128)) = join(top,X_128) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_126,join(complement(X_126),X_128)),join(join(X_126,complement(X_126)),X_128)) ),[1,0],$fot(top)]]) ).
cnf(refute_0_1521,plain,
( join(X_126,join(complement(X_126),X_128)) != join(join(X_126,complement(X_126)),X_128)
| join(X_126,join(complement(X_126),X_128)) = join(top,X_128) ),
inference(resolve,[$cnf( $equal(join(X_126,complement(X_126)),top) )],[refute_0_1519,refute_0_1520]) ).
cnf(refute_0_1522,plain,
join(X_126,join(complement(X_126),X_128)) = join(top,X_128),
inference(resolve,[$cnf( $equal(join(X_126,join(complement(X_126),X_128)),join(join(X_126,complement(X_126)),X_128)) )],[refute_0_1516,refute_0_1521]) ).
cnf(refute_0_1523,plain,
join(top,X_128) = top,
inference(subst,[],[refute_0_1109:[bind(X1,$fot(X_128))]]) ).
cnf(refute_0_1524,plain,
( join(X_126,join(complement(X_126),X_128)) != join(top,X_128)
| join(top,X_128) != top
| join(X_126,join(complement(X_126),X_128)) = top ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_126,join(complement(X_126),X_128)),top) ),[0],$fot(join(top,X_128))]]) ).
cnf(refute_0_1525,plain,
( join(X_126,join(complement(X_126),X_128)) != join(top,X_128)
| join(X_126,join(complement(X_126),X_128)) = top ),
inference(resolve,[$cnf( $equal(join(top,X_128),top) )],[refute_0_1523,refute_0_1524]) ).
cnf(refute_0_1526,plain,
join(X_126,join(complement(X_126),X_128)) = top,
inference(resolve,[$cnf( $equal(join(X_126,join(complement(X_126),X_128)),join(top,X_128)) )],[refute_0_1522,refute_0_1525]) ).
cnf(refute_0_1527,plain,
join(X_129,join(complement(X_129),composition(X_71,complement(X_129)))) = top,
inference(subst,[],[refute_0_1526:[bind(X_126,$fot(X_129)),bind(X_128,$fot(composition(X_71,complement(X_129))))]]) ).
cnf(refute_0_1528,plain,
composition(join(X_71,one),complement(X_129)) = join(complement(X_129),composition(X_71,complement(X_129))),
inference(subst,[],[refute_0_1192:[bind(X_73,$fot(complement(X_129)))]]) ).
cnf(refute_0_1529,plain,
( composition(join(X_71,one),complement(X_129)) != join(complement(X_129),composition(X_71,complement(X_129)))
| join(complement(X_129),composition(X_71,complement(X_129))) = composition(join(X_71,one),complement(X_129)) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(composition(join(X_71,one),complement(X_129)))),bind(Y,$fot(join(complement(X_129),composition(X_71,complement(X_129)))))]]) ).
cnf(refute_0_1530,plain,
join(complement(X_129),composition(X_71,complement(X_129))) = composition(join(X_71,one),complement(X_129)),
inference(resolve,[$cnf( $equal(composition(join(X_71,one),complement(X_129)),join(complement(X_129),composition(X_71,complement(X_129)))) )],[refute_0_1528,refute_0_1529]) ).
cnf(refute_0_1531,plain,
( join(X_129,join(complement(X_129),composition(X_71,complement(X_129)))) != top
| join(complement(X_129),composition(X_71,complement(X_129))) != composition(join(X_71,one),complement(X_129))
| join(X_129,composition(join(X_71,one),complement(X_129))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(X_129,join(complement(X_129),composition(X_71,complement(X_129)))),top) ),[0,1],$fot(composition(join(X_71,one),complement(X_129)))]]) ).
cnf(refute_0_1532,plain,
( join(X_129,join(complement(X_129),composition(X_71,complement(X_129)))) != top
| join(X_129,composition(join(X_71,one),complement(X_129))) = top ),
inference(resolve,[$cnf( $equal(join(complement(X_129),composition(X_71,complement(X_129))),composition(join(X_71,one),complement(X_129))) )],[refute_0_1530,refute_0_1531]) ).
cnf(refute_0_1533,plain,
join(X_129,composition(join(X_71,one),complement(X_129))) = top,
inference(resolve,[$cnf( $equal(join(X_129,join(complement(X_129),composition(X_71,complement(X_129)))),top) )],[refute_0_1527,refute_0_1532]) ).
cnf(refute_0_1534,plain,
join(X_140,composition(join(top,one),complement(X_140))) = top,
inference(subst,[],[refute_0_1533:[bind(X_129,$fot(X_140)),bind(X_71,$fot(top))]]) ).
cnf(refute_0_1535,plain,
join(top,one) = top,
inference(subst,[],[refute_0_1109:[bind(X1,$fot(one))]]) ).
cnf(refute_0_1536,plain,
( join(X_140,composition(join(top,one),complement(X_140))) != top
| join(top,one) != top
| join(X_140,composition(top,complement(X_140))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(X_140,composition(join(top,one),complement(X_140))),top) ),[0,1,0],$fot(top)]]) ).
cnf(refute_0_1537,plain,
( join(X_140,composition(join(top,one),complement(X_140))) != top
| join(X_140,composition(top,complement(X_140))) = top ),
inference(resolve,[$cnf( $equal(join(top,one),top) )],[refute_0_1535,refute_0_1536]) ).
cnf(refute_0_1538,plain,
join(X_140,composition(top,complement(X_140))) = top,
inference(resolve,[$cnf( $equal(join(X_140,composition(join(top,one),complement(X_140))),top) )],[refute_0_1534,refute_0_1537]) ).
cnf(refute_0_1539,plain,
join(complement(X1),composition(top,complement(complement(X1)))) = top,
inference(subst,[],[refute_0_1538:[bind(X_140,$fot(complement(X1)))]]) ).
cnf(refute_0_1540,plain,
( complement(complement(X1)) != X1
| join(complement(X1),composition(top,complement(complement(X1)))) != top
| join(complement(X1),composition(top,X1)) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X1),composition(top,complement(complement(X1)))),top) ),[0,1,1],$fot(X1)]]) ).
cnf(refute_0_1541,plain,
( join(complement(X1),composition(top,complement(complement(X1)))) != top
| join(complement(X1),composition(top,X1)) = top ),
inference(resolve,[$cnf( $equal(complement(complement(X1)),X1) )],[refute_0_447,refute_0_1540]) ).
cnf(refute_0_1542,plain,
join(complement(X1),composition(top,X1)) = top,
inference(resolve,[$cnf( $equal(join(complement(X1),composition(top,complement(complement(X1)))),top) )],[refute_0_1539,refute_0_1541]) ).
cnf(refute_0_1543,plain,
join(complement(converse(X_16)),composition(top,converse(X_16))) = top,
inference(subst,[],[refute_0_1542:[bind(X1,$fot(converse(X_16)))]]) ).
cnf(refute_0_1544,plain,
converse(composition(X_16,converse(X0))) = composition(converse(converse(X0)),converse(X_16)),
inference(subst,[],[refute_0_15:[bind(X0,$fot(X_16)),bind(X1,$fot(converse(X0)))]]) ).
cnf(refute_0_1545,plain,
( converse(composition(X_16,converse(X0))) != composition(converse(converse(X0)),converse(X_16))
| converse(converse(X0)) != X0
| converse(composition(X_16,converse(X0))) = composition(X0,converse(X_16)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(X_16,converse(X0))),composition(converse(converse(X0)),converse(X_16))) ),[1,0],$fot(X0)]]) ).
cnf(refute_0_1546,plain,
( converse(composition(X_16,converse(X0))) != composition(converse(converse(X0)),converse(X_16))
| converse(composition(X_16,converse(X0))) = composition(X0,converse(X_16)) ),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_0_308,refute_0_1545]) ).
cnf(refute_0_1547,plain,
converse(composition(X_16,converse(X0))) = composition(X0,converse(X_16)),
inference(resolve,[$cnf( $equal(converse(composition(X_16,converse(X0))),composition(converse(converse(X0)),converse(X_16))) )],[refute_0_1544,refute_0_1546]) ).
cnf(refute_0_1548,plain,
converse(composition(X_16,converse(top))) = composition(top,converse(X_16)),
inference(subst,[],[refute_0_1547:[bind(X0,$fot(top))]]) ).
cnf(refute_0_1549,plain,
( converse(composition(X_16,converse(top))) != composition(top,converse(X_16))
| converse(top) != top
| converse(composition(X_16,top)) = composition(top,converse(X_16)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(X_16,converse(top))),composition(top,converse(X_16))) ),[0,0,1],$fot(top)]]) ).
cnf(refute_0_1550,plain,
( converse(composition(X_16,converse(top))) != composition(top,converse(X_16))
| converse(composition(X_16,top)) = composition(top,converse(X_16)) ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_1030,refute_0_1549]) ).
cnf(refute_0_1551,plain,
converse(composition(X_16,top)) = composition(top,converse(X_16)),
inference(resolve,[$cnf( $equal(converse(composition(X_16,converse(top))),composition(top,converse(X_16))) )],[refute_0_1548,refute_0_1550]) ).
cnf(refute_0_1552,plain,
( converse(composition(X_16,top)) != composition(top,converse(X_16))
| composition(top,converse(X_16)) = converse(composition(X_16,top)) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(converse(composition(X_16,top)))),bind(Y,$fot(composition(top,converse(X_16))))]]) ).
cnf(refute_0_1553,plain,
composition(top,converse(X_16)) = converse(composition(X_16,top)),
inference(resolve,[$cnf( $equal(converse(composition(X_16,top)),composition(top,converse(X_16))) )],[refute_0_1551,refute_0_1552]) ).
cnf(refute_0_1554,plain,
( composition(top,converse(X_16)) != converse(composition(X_16,top))
| join(complement(converse(X_16)),composition(top,converse(X_16))) != top
| join(complement(converse(X_16)),converse(composition(X_16,top))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(X_16)),composition(top,converse(X_16))),top) ),[0,1],$fot(converse(composition(X_16,top)))]]) ).
cnf(refute_0_1555,plain,
( join(complement(converse(X_16)),composition(top,converse(X_16))) != top
| join(complement(converse(X_16)),converse(composition(X_16,top))) = top ),
inference(resolve,[$cnf( $equal(composition(top,converse(X_16)),converse(composition(X_16,top))) )],[refute_0_1553,refute_0_1554]) ).
cnf(refute_0_1556,plain,
join(complement(converse(X_16)),converse(composition(X_16,top))) = top,
inference(resolve,[$cnf( $equal(join(complement(converse(X_16)),composition(top,converse(X_16))),top) )],[refute_0_1543,refute_0_1555]) ).
cnf(refute_0_1557,plain,
join(complement(converse(X_144)),converse(composition(X_144,top))) = top,
inference(subst,[],[refute_0_1556:[bind(X_16,$fot(X_144))]]) ).
cnf(refute_0_1558,plain,
( converse(join(converse(composition(X_144,top)),complement(converse(X_144)))) != converse(join(complement(converse(X_144)),converse(composition(X_144,top))))
| join(complement(converse(X_144)),converse(composition(X_144,top))) != top
| converse(join(converse(composition(X_144,top)),complement(converse(X_144)))) = converse(top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(composition(X_144,top)),complement(converse(X_144)))),converse(join(complement(converse(X_144)),converse(composition(X_144,top))))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_1559,plain,
( converse(join(converse(composition(X_144,top)),complement(converse(X_144)))) != converse(join(complement(converse(X_144)),converse(composition(X_144,top))))
| converse(join(converse(composition(X_144,top)),complement(converse(X_144)))) = converse(top) ),
inference(resolve,[$cnf( $equal(join(complement(converse(X_144)),converse(composition(X_144,top))),top) )],[refute_0_1557,refute_0_1558]) ).
cnf(refute_0_1560,plain,
converse(join(converse(composition(X_144,top)),complement(converse(X_144)))) = converse(top),
inference(resolve,[$cnf( $equal(converse(join(converse(composition(X_144,top)),complement(converse(X_144)))),converse(join(complement(converse(X_144)),converse(composition(X_144,top))))) )],[refute_0_1515,refute_0_1559]) ).
cnf(refute_0_1561,plain,
converse(join(converse(composition(X_144,top)),complement(converse(X_144)))) = join(composition(X_144,top),converse(complement(converse(X_144)))),
inference(subst,[],[refute_0_484:[bind(X0,$fot(composition(X_144,top))),bind(X_12,$fot(complement(converse(X_144))))]]) ).
cnf(refute_0_1562,plain,
( converse(join(converse(composition(X_144,top)),complement(converse(X_144)))) != converse(top)
| converse(join(converse(composition(X_144,top)),complement(converse(X_144)))) != join(composition(X_144,top),converse(complement(converse(X_144))))
| join(composition(X_144,top),converse(complement(converse(X_144)))) = converse(top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(composition(X_144,top)),complement(converse(X_144)))),converse(top)) ),[0],$fot(join(composition(X_144,top),converse(complement(converse(X_144)))))]]) ).
cnf(refute_0_1563,plain,
( converse(join(converse(composition(X_144,top)),complement(converse(X_144)))) != converse(top)
| join(composition(X_144,top),converse(complement(converse(X_144)))) = converse(top) ),
inference(resolve,[$cnf( $equal(converse(join(converse(composition(X_144,top)),complement(converse(X_144)))),join(composition(X_144,top),converse(complement(converse(X_144))))) )],[refute_0_1561,refute_0_1562]) ).
cnf(refute_0_1564,plain,
( converse(top) != top
| join(composition(X_144,top),converse(complement(converse(X_144)))) != converse(top)
| join(composition(X_144,top),converse(complement(converse(X_144)))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(X_144,top),converse(complement(converse(X_144)))),converse(top)) ),[1],$fot(top)]]) ).
cnf(refute_0_1565,plain,
( join(composition(X_144,top),converse(complement(converse(X_144)))) != converse(top)
| join(composition(X_144,top),converse(complement(converse(X_144)))) = top ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_1030,refute_0_1564]) ).
cnf(refute_0_1566,plain,
( converse(join(converse(composition(X_144,top)),complement(converse(X_144)))) != converse(top)
| join(composition(X_144,top),converse(complement(converse(X_144)))) = top ),
inference(resolve,[$cnf( $equal(join(composition(X_144,top),converse(complement(converse(X_144)))),converse(top)) )],[refute_0_1563,refute_0_1565]) ).
cnf(refute_0_1567,plain,
join(composition(X_144,top),converse(complement(converse(X_144)))) = top,
inference(resolve,[$cnf( $equal(converse(join(converse(composition(X_144,top)),complement(converse(X_144)))),converse(top)) )],[refute_0_1560,refute_0_1566]) ).
cnf(refute_0_1568,plain,
join(composition(X_144,top),complement(X_144)) = join(complement(X_144),composition(X_144,top)),
inference(subst,[],[refute_0_7:[bind(X0,$fot(complement(X_144))),bind(X1,$fot(composition(X_144,top)))]]) ).
cnf(refute_0_1569,plain,
converse(complement(converse(complement(complement(X_110))))) = join(meet(converse(complement(converse(complement(complement(X_110))))),X_110),meet(complement(X_110),converse(complement(converse(complement(complement(X_110))))))),
inference(subst,[],[refute_0_1492:[bind(X_39,$fot(X_110)),bind(X_40,$fot(converse(complement(converse(complement(complement(X_110)))))))]]) ).
cnf(refute_0_1570,plain,
X_29 = join(meet(X_29,converse(complement(converse(complement(X_29))))),complement(join(complement(X_29),converse(complement(converse(complement(X_29))))))),
inference(subst,[],[refute_0_73:[bind(X0,$fot(X_29)),bind(X1,$fot(converse(complement(converse(complement(X_29))))))]]) ).
cnf(refute_0_1571,plain,
converse(top) = join(complement(X_29),converse(complement(converse(complement(X_29))))),
inference(subst,[],[refute_0_491:[bind(X_13,$fot(complement(X_29)))]]) ).
cnf(refute_0_1572,plain,
( converse(top) != join(complement(X_29),converse(complement(converse(complement(X_29)))))
| join(complement(X_29),converse(complement(converse(complement(X_29))))) = converse(top) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(converse(top))),bind(Y,$fot(join(complement(X_29),converse(complement(converse(complement(X_29)))))))]]) ).
cnf(refute_0_1573,plain,
join(complement(X_29),converse(complement(converse(complement(X_29))))) = converse(top),
inference(resolve,[$cnf( $equal(converse(top),join(complement(X_29),converse(complement(converse(complement(X_29)))))) )],[refute_0_1571,refute_0_1572]) ).
cnf(refute_0_1574,plain,
( X_29 != join(meet(X_29,converse(complement(converse(complement(X_29))))),complement(join(complement(X_29),converse(complement(converse(complement(X_29)))))))
| join(complement(X_29),converse(complement(converse(complement(X_29))))) != converse(top)
| X_29 = join(meet(X_29,converse(complement(converse(complement(X_29))))),complement(converse(top))) ),
introduced(tautology,[equality,[$cnf( $equal(X_29,join(meet(X_29,converse(complement(converse(complement(X_29))))),complement(join(complement(X_29),converse(complement(converse(complement(X_29)))))))) ),[1,1,0],$fot(converse(top))]]) ).
cnf(refute_0_1575,plain,
( X_29 != join(meet(X_29,converse(complement(converse(complement(X_29))))),complement(join(complement(X_29),converse(complement(converse(complement(X_29)))))))
| X_29 = join(meet(X_29,converse(complement(converse(complement(X_29))))),complement(converse(top))) ),
inference(resolve,[$cnf( $equal(join(complement(X_29),converse(complement(converse(complement(X_29))))),converse(top)) )],[refute_0_1573,refute_0_1574]) ).
cnf(refute_0_1576,plain,
X_29 = join(meet(X_29,converse(complement(converse(complement(X_29))))),complement(converse(top))),
inference(resolve,[$cnf( $equal(X_29,join(meet(X_29,converse(complement(converse(complement(X_29))))),complement(join(complement(X_29),converse(complement(converse(complement(X_29)))))))) )],[refute_0_1570,refute_0_1575]) ).
cnf(refute_0_1577,plain,
join(meet(X_29,converse(complement(converse(complement(X_29))))),complement(converse(top))) = join(complement(converse(top)),meet(X_29,converse(complement(converse(complement(X_29)))))),
inference(subst,[],[refute_0_7:[bind(X0,$fot(complement(converse(top)))),bind(X1,$fot(meet(X_29,converse(complement(converse(complement(X_29)))))))]]) ).
cnf(refute_0_1578,plain,
( X_29 != join(meet(X_29,converse(complement(converse(complement(X_29))))),complement(converse(top)))
| join(meet(X_29,converse(complement(converse(complement(X_29))))),complement(converse(top))) != join(complement(converse(top)),meet(X_29,converse(complement(converse(complement(X_29))))))
| X_29 = join(complement(converse(top)),meet(X_29,converse(complement(converse(complement(X_29)))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_29,join(complement(converse(top)),meet(X_29,converse(complement(converse(complement(X_29))))))) ),[0],$fot(join(meet(X_29,converse(complement(converse(complement(X_29))))),complement(converse(top))))]]) ).
cnf(refute_0_1579,plain,
( X_29 != join(meet(X_29,converse(complement(converse(complement(X_29))))),complement(converse(top)))
| X_29 = join(complement(converse(top)),meet(X_29,converse(complement(converse(complement(X_29)))))) ),
inference(resolve,[$cnf( $equal(join(meet(X_29,converse(complement(converse(complement(X_29))))),complement(converse(top))),join(complement(converse(top)),meet(X_29,converse(complement(converse(complement(X_29))))))) )],[refute_0_1577,refute_0_1578]) ).
cnf(refute_0_1580,plain,
X_29 = join(complement(converse(top)),meet(X_29,converse(complement(converse(complement(X_29)))))),
inference(resolve,[$cnf( $equal(X_29,join(meet(X_29,converse(complement(converse(complement(X_29))))),complement(converse(top)))) )],[refute_0_1576,refute_0_1579]) ).
cnf(refute_0_1581,plain,
join(zero,meet(X_29,converse(complement(converse(complement(X_29)))))) = meet(X_29,converse(complement(converse(complement(X_29))))),
inference(subst,[],[refute_0_468:[bind(X_29,$fot(meet(X_29,converse(complement(converse(complement(X_29)))))))]]) ).
cnf(refute_0_1582,plain,
join(complement(converse(top)),meet(X_29,converse(complement(converse(complement(X_29)))))) = join(complement(converse(top)),meet(X_29,converse(complement(converse(complement(X_29)))))),
introduced(tautology,[refl,[$fot(join(complement(converse(top)),meet(X_29,converse(complement(converse(complement(X_29)))))))]]) ).
cnf(refute_0_1583,plain,
( complement(converse(top)) != zero
| join(complement(converse(top)),meet(X_29,converse(complement(converse(complement(X_29)))))) != join(complement(converse(top)),meet(X_29,converse(complement(converse(complement(X_29))))))
| join(complement(converse(top)),meet(X_29,converse(complement(converse(complement(X_29)))))) = join(zero,meet(X_29,converse(complement(converse(complement(X_29)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(top)),meet(X_29,converse(complement(converse(complement(X_29)))))),join(complement(converse(top)),meet(X_29,converse(complement(converse(complement(X_29))))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_1584,plain,
( complement(converse(top)) != zero
| join(complement(converse(top)),meet(X_29,converse(complement(converse(complement(X_29)))))) = join(zero,meet(X_29,converse(complement(converse(complement(X_29)))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),meet(X_29,converse(complement(converse(complement(X_29)))))),join(complement(converse(top)),meet(X_29,converse(complement(converse(complement(X_29))))))) )],[refute_0_1582,refute_0_1583]) ).
cnf(refute_0_1585,plain,
join(complement(converse(top)),meet(X_29,converse(complement(converse(complement(X_29)))))) = join(zero,meet(X_29,converse(complement(converse(complement(X_29)))))),
inference(resolve,[$cnf( $equal(complement(converse(top)),zero) )],[refute_0_944,refute_0_1584]) ).
cnf(refute_0_1586,plain,
( join(complement(converse(top)),meet(X_29,converse(complement(converse(complement(X_29)))))) != join(zero,meet(X_29,converse(complement(converse(complement(X_29))))))
| join(zero,meet(X_29,converse(complement(converse(complement(X_29)))))) != meet(X_29,converse(complement(converse(complement(X_29)))))
| join(complement(converse(top)),meet(X_29,converse(complement(converse(complement(X_29)))))) = meet(X_29,converse(complement(converse(complement(X_29))))) ),
inference(subst,[],[refute_0_41:[bind(X,$fot(join(complement(converse(top)),meet(X_29,converse(complement(converse(complement(X_29)))))))),bind(Y,$fot(join(zero,meet(X_29,converse(complement(converse(complement(X_29)))))))),bind(Z,$fot(meet(X_29,converse(complement(converse(complement(X_29)))))))]]) ).
cnf(refute_0_1587,plain,
( join(zero,meet(X_29,converse(complement(converse(complement(X_29)))))) != meet(X_29,converse(complement(converse(complement(X_29)))))
| join(complement(converse(top)),meet(X_29,converse(complement(converse(complement(X_29)))))) = meet(X_29,converse(complement(converse(complement(X_29))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),meet(X_29,converse(complement(converse(complement(X_29)))))),join(zero,meet(X_29,converse(complement(converse(complement(X_29))))))) )],[refute_0_1585,refute_0_1586]) ).
cnf(refute_0_1588,plain,
join(complement(converse(top)),meet(X_29,converse(complement(converse(complement(X_29)))))) = meet(X_29,converse(complement(converse(complement(X_29))))),
inference(resolve,[$cnf( $equal(join(zero,meet(X_29,converse(complement(converse(complement(X_29)))))),meet(X_29,converse(complement(converse(complement(X_29)))))) )],[refute_0_1581,refute_0_1587]) ).
cnf(refute_0_1589,plain,
( X_29 != join(complement(converse(top)),meet(X_29,converse(complement(converse(complement(X_29))))))
| join(complement(converse(top)),meet(X_29,converse(complement(converse(complement(X_29)))))) != meet(X_29,converse(complement(converse(complement(X_29)))))
| X_29 = meet(X_29,converse(complement(converse(complement(X_29))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_29,meet(X_29,converse(complement(converse(complement(X_29)))))) ),[0],$fot(join(complement(converse(top)),meet(X_29,converse(complement(converse(complement(X_29)))))))]]) ).
cnf(refute_0_1590,plain,
( X_29 != join(complement(converse(top)),meet(X_29,converse(complement(converse(complement(X_29))))))
| X_29 = meet(X_29,converse(complement(converse(complement(X_29))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),meet(X_29,converse(complement(converse(complement(X_29)))))),meet(X_29,converse(complement(converse(complement(X_29)))))) )],[refute_0_1588,refute_0_1589]) ).
cnf(refute_0_1591,plain,
X_29 = meet(X_29,converse(complement(converse(complement(X_29))))),
inference(resolve,[$cnf( $equal(X_29,join(complement(converse(top)),meet(X_29,converse(complement(converse(complement(X_29))))))) )],[refute_0_1580,refute_0_1590]) ).
cnf(refute_0_1592,plain,
complement(X_110) = meet(complement(X_110),converse(complement(converse(complement(complement(X_110)))))),
inference(subst,[],[refute_0_1591:[bind(X_29,$fot(complement(X_110)))]]) ).
cnf(refute_0_1593,plain,
( complement(X_110) != meet(complement(X_110),converse(complement(converse(complement(complement(X_110))))))
| meet(complement(X_110),converse(complement(converse(complement(complement(X_110)))))) = complement(X_110) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(complement(X_110))),bind(Y,$fot(meet(complement(X_110),converse(complement(converse(complement(complement(X_110))))))))]]) ).
cnf(refute_0_1594,plain,
meet(complement(X_110),converse(complement(converse(complement(complement(X_110)))))) = complement(X_110),
inference(resolve,[$cnf( $equal(complement(X_110),meet(complement(X_110),converse(complement(converse(complement(complement(X_110))))))) )],[refute_0_1592,refute_0_1593]) ).
cnf(refute_0_1595,plain,
( converse(complement(converse(complement(complement(X_110))))) != join(meet(converse(complement(converse(complement(complement(X_110))))),X_110),meet(complement(X_110),converse(complement(converse(complement(complement(X_110)))))))
| meet(complement(X_110),converse(complement(converse(complement(complement(X_110)))))) != complement(X_110)
| converse(complement(converse(complement(complement(X_110))))) = join(meet(converse(complement(converse(complement(complement(X_110))))),X_110),complement(X_110)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(complement(complement(X_110))))),join(meet(converse(complement(converse(complement(complement(X_110))))),X_110),meet(complement(X_110),converse(complement(converse(complement(complement(X_110)))))))) ),[1,1],$fot(complement(X_110))]]) ).
cnf(refute_0_1596,plain,
( converse(complement(converse(complement(complement(X_110))))) != join(meet(converse(complement(converse(complement(complement(X_110))))),X_110),meet(complement(X_110),converse(complement(converse(complement(complement(X_110)))))))
| converse(complement(converse(complement(complement(X_110))))) = join(meet(converse(complement(converse(complement(complement(X_110))))),X_110),complement(X_110)) ),
inference(resolve,[$cnf( $equal(meet(complement(X_110),converse(complement(converse(complement(complement(X_110)))))),complement(X_110)) )],[refute_0_1594,refute_0_1595]) ).
cnf(refute_0_1597,plain,
converse(complement(converse(complement(complement(X_110))))) = join(meet(converse(complement(converse(complement(complement(X_110))))),X_110),complement(X_110)),
inference(resolve,[$cnf( $equal(converse(complement(converse(complement(complement(X_110))))),join(meet(converse(complement(converse(complement(complement(X_110))))),X_110),meet(complement(X_110),converse(complement(converse(complement(complement(X_110)))))))) )],[refute_0_1569,refute_0_1596]) ).
cnf(refute_0_1598,plain,
complement(complement(X_110)) = X_110,
inference(subst,[],[refute_0_447:[bind(X1,$fot(X_110))]]) ).
cnf(refute_0_1599,plain,
converse(complement(complement(X_110))) = converse(complement(complement(X_110))),
introduced(tautology,[refl,[$fot(converse(complement(complement(X_110))))]]) ).
cnf(refute_0_1600,plain,
( complement(complement(X_110)) != X_110
| converse(complement(complement(X_110))) != converse(complement(complement(X_110)))
| converse(complement(complement(X_110))) = converse(X_110) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(complement(X_110))),converse(complement(complement(X_110)))) ),[1,0],$fot(X_110)]]) ).
cnf(refute_0_1601,plain,
( complement(complement(X_110)) != X_110
| converse(complement(complement(X_110))) = converse(X_110) ),
inference(resolve,[$cnf( $equal(converse(complement(complement(X_110))),converse(complement(complement(X_110)))) )],[refute_0_1599,refute_0_1600]) ).
cnf(refute_0_1602,plain,
converse(complement(complement(X_110))) = converse(X_110),
inference(resolve,[$cnf( $equal(complement(complement(X_110)),X_110) )],[refute_0_1598,refute_0_1601]) ).
cnf(refute_0_1603,plain,
complement(converse(complement(complement(X_110)))) = complement(converse(complement(complement(X_110)))),
introduced(tautology,[refl,[$fot(complement(converse(complement(complement(X_110)))))]]) ).
cnf(refute_0_1604,plain,
( complement(converse(complement(complement(X_110)))) != complement(converse(complement(complement(X_110))))
| converse(complement(complement(X_110))) != converse(X_110)
| complement(converse(complement(complement(X_110)))) = complement(converse(X_110)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(complement(complement(X_110)))),complement(converse(complement(complement(X_110))))) ),[1,0],$fot(converse(X_110))]]) ).
cnf(refute_0_1605,plain,
( converse(complement(complement(X_110))) != converse(X_110)
| complement(converse(complement(complement(X_110)))) = complement(converse(X_110)) ),
inference(resolve,[$cnf( $equal(complement(converse(complement(complement(X_110)))),complement(converse(complement(complement(X_110))))) )],[refute_0_1603,refute_0_1604]) ).
cnf(refute_0_1606,plain,
complement(converse(complement(complement(X_110)))) = complement(converse(X_110)),
inference(resolve,[$cnf( $equal(converse(complement(complement(X_110))),converse(X_110)) )],[refute_0_1602,refute_0_1605]) ).
cnf(refute_0_1607,plain,
converse(complement(converse(complement(complement(X_110))))) = converse(complement(converse(complement(complement(X_110))))),
introduced(tautology,[refl,[$fot(converse(complement(converse(complement(complement(X_110))))))]]) ).
cnf(refute_0_1608,plain,
( complement(converse(complement(complement(X_110)))) != complement(converse(X_110))
| converse(complement(converse(complement(complement(X_110))))) != converse(complement(converse(complement(complement(X_110)))))
| converse(complement(converse(complement(complement(X_110))))) = converse(complement(converse(X_110))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(complement(complement(X_110))))),converse(complement(converse(complement(complement(X_110)))))) ),[1,0],$fot(complement(converse(X_110)))]]) ).
cnf(refute_0_1609,plain,
( complement(converse(complement(complement(X_110)))) != complement(converse(X_110))
| converse(complement(converse(complement(complement(X_110))))) = converse(complement(converse(X_110))) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(complement(complement(X_110))))),converse(complement(converse(complement(complement(X_110)))))) )],[refute_0_1607,refute_0_1608]) ).
cnf(refute_0_1610,plain,
converse(complement(converse(complement(complement(X_110))))) = converse(complement(converse(X_110))),
inference(resolve,[$cnf( $equal(complement(converse(complement(complement(X_110)))),complement(converse(X_110))) )],[refute_0_1606,refute_0_1609]) ).
cnf(refute_0_1611,plain,
( converse(complement(converse(complement(complement(X_110))))) != converse(complement(converse(X_110)))
| converse(complement(converse(complement(complement(X_110))))) != join(meet(converse(complement(converse(complement(complement(X_110))))),X_110),complement(X_110))
| converse(complement(converse(X_110))) = join(meet(converse(complement(converse(complement(complement(X_110))))),X_110),complement(X_110)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(complement(complement(X_110))))),join(meet(converse(complement(converse(complement(complement(X_110))))),X_110),complement(X_110))) ),[0],$fot(converse(complement(converse(X_110))))]]) ).
cnf(refute_0_1612,plain,
( converse(complement(converse(complement(complement(X_110))))) != join(meet(converse(complement(converse(complement(complement(X_110))))),X_110),complement(X_110))
| converse(complement(converse(X_110))) = join(meet(converse(complement(converse(complement(complement(X_110))))),X_110),complement(X_110)) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(complement(complement(X_110))))),converse(complement(converse(X_110)))) )],[refute_0_1610,refute_0_1611]) ).
cnf(refute_0_1613,plain,
meet(X_110,converse(complement(converse(complement(complement(X_110)))))) = meet(X_110,converse(complement(converse(complement(complement(X_110)))))),
introduced(tautology,[refl,[$fot(meet(X_110,converse(complement(converse(complement(complement(X_110)))))))]]) ).
cnf(refute_0_1614,plain,
( converse(complement(converse(complement(complement(X_110))))) != converse(complement(converse(X_110)))
| meet(X_110,converse(complement(converse(complement(complement(X_110)))))) != meet(X_110,converse(complement(converse(complement(complement(X_110))))))
| meet(X_110,converse(complement(converse(complement(complement(X_110)))))) = meet(X_110,converse(complement(converse(X_110)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_110,converse(complement(converse(complement(complement(X_110)))))),meet(X_110,converse(complement(converse(complement(complement(X_110))))))) ),[1,1],$fot(converse(complement(converse(X_110))))]]) ).
cnf(refute_0_1615,plain,
( converse(complement(converse(complement(complement(X_110))))) != converse(complement(converse(X_110)))
| meet(X_110,converse(complement(converse(complement(complement(X_110)))))) = meet(X_110,converse(complement(converse(X_110)))) ),
inference(resolve,[$cnf( $equal(meet(X_110,converse(complement(converse(complement(complement(X_110)))))),meet(X_110,converse(complement(converse(complement(complement(X_110))))))) )],[refute_0_1613,refute_0_1614]) ).
cnf(refute_0_1616,plain,
meet(X_110,converse(complement(converse(complement(complement(X_110)))))) = meet(X_110,converse(complement(converse(X_110)))),
inference(resolve,[$cnf( $equal(converse(complement(converse(complement(complement(X_110))))),converse(complement(converse(X_110)))) )],[refute_0_1610,refute_0_1615]) ).
cnf(refute_0_1617,plain,
meet(converse(complement(converse(complement(complement(X_110))))),X_110) = meet(X_110,converse(complement(converse(complement(complement(X_110)))))),
inference(subst,[],[refute_0_144:[bind(X_6,$fot(X_110)),bind(X_7,$fot(converse(complement(converse(complement(complement(X_110)))))))]]) ).
cnf(refute_0_1618,plain,
( meet(X_110,converse(complement(converse(complement(complement(X_110)))))) != meet(X_110,converse(complement(converse(X_110))))
| meet(converse(complement(converse(complement(complement(X_110))))),X_110) != meet(X_110,converse(complement(converse(complement(complement(X_110))))))
| meet(converse(complement(converse(complement(complement(X_110))))),X_110) = meet(X_110,converse(complement(converse(X_110)))) ),
inference(subst,[],[refute_0_41:[bind(X,$fot(meet(converse(complement(converse(complement(complement(X_110))))),X_110))),bind(Y,$fot(meet(X_110,converse(complement(converse(complement(complement(X_110)))))))),bind(Z,$fot(meet(X_110,converse(complement(converse(X_110))))))]]) ).
cnf(refute_0_1619,plain,
( meet(X_110,converse(complement(converse(complement(complement(X_110)))))) != meet(X_110,converse(complement(converse(X_110))))
| meet(converse(complement(converse(complement(complement(X_110))))),X_110) = meet(X_110,converse(complement(converse(X_110)))) ),
inference(resolve,[$cnf( $equal(meet(converse(complement(converse(complement(complement(X_110))))),X_110),meet(X_110,converse(complement(converse(complement(complement(X_110))))))) )],[refute_0_1617,refute_0_1618]) ).
cnf(refute_0_1620,plain,
meet(converse(complement(converse(complement(complement(X_110))))),X_110) = meet(X_110,converse(complement(converse(X_110)))),
inference(resolve,[$cnf( $equal(meet(X_110,converse(complement(converse(complement(complement(X_110)))))),meet(X_110,converse(complement(converse(X_110))))) )],[refute_0_1616,refute_0_1619]) ).
cnf(refute_0_1621,plain,
join(complement(X_110),meet(converse(complement(converse(complement(complement(X_110))))),X_110)) = join(complement(X_110),meet(converse(complement(converse(complement(complement(X_110))))),X_110)),
introduced(tautology,[refl,[$fot(join(complement(X_110),meet(converse(complement(converse(complement(complement(X_110))))),X_110)))]]) ).
cnf(refute_0_1622,plain,
( join(complement(X_110),meet(converse(complement(converse(complement(complement(X_110))))),X_110)) != join(complement(X_110),meet(converse(complement(converse(complement(complement(X_110))))),X_110))
| meet(converse(complement(converse(complement(complement(X_110))))),X_110) != meet(X_110,converse(complement(converse(X_110))))
| join(complement(X_110),meet(converse(complement(converse(complement(complement(X_110))))),X_110)) = join(complement(X_110),meet(X_110,converse(complement(converse(X_110))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_110),meet(converse(complement(converse(complement(complement(X_110))))),X_110)),join(complement(X_110),meet(converse(complement(converse(complement(complement(X_110))))),X_110))) ),[1,1],$fot(meet(X_110,converse(complement(converse(X_110)))))]]) ).
cnf(refute_0_1623,plain,
( meet(converse(complement(converse(complement(complement(X_110))))),X_110) != meet(X_110,converse(complement(converse(X_110))))
| join(complement(X_110),meet(converse(complement(converse(complement(complement(X_110))))),X_110)) = join(complement(X_110),meet(X_110,converse(complement(converse(X_110))))) ),
inference(resolve,[$cnf( $equal(join(complement(X_110),meet(converse(complement(converse(complement(complement(X_110))))),X_110)),join(complement(X_110),meet(converse(complement(converse(complement(complement(X_110))))),X_110))) )],[refute_0_1621,refute_0_1622]) ).
cnf(refute_0_1624,plain,
join(complement(X_110),meet(converse(complement(converse(complement(complement(X_110))))),X_110)) = join(complement(X_110),meet(X_110,converse(complement(converse(X_110))))),
inference(resolve,[$cnf( $equal(meet(converse(complement(converse(complement(complement(X_110))))),X_110),meet(X_110,converse(complement(converse(X_110))))) )],[refute_0_1620,refute_0_1623]) ).
cnf(refute_0_1625,plain,
join(meet(converse(complement(converse(complement(complement(X_110))))),X_110),complement(X_110)) = join(complement(X_110),meet(converse(complement(converse(complement(complement(X_110))))),X_110)),
inference(subst,[],[refute_0_7:[bind(X0,$fot(complement(X_110))),bind(X1,$fot(meet(converse(complement(converse(complement(complement(X_110))))),X_110)))]]) ).
cnf(refute_0_1626,plain,
( join(complement(X_110),meet(converse(complement(converse(complement(complement(X_110))))),X_110)) != join(complement(X_110),meet(X_110,converse(complement(converse(X_110)))))
| join(meet(converse(complement(converse(complement(complement(X_110))))),X_110),complement(X_110)) != join(complement(X_110),meet(converse(complement(converse(complement(complement(X_110))))),X_110))
| join(meet(converse(complement(converse(complement(complement(X_110))))),X_110),complement(X_110)) = join(complement(X_110),meet(X_110,converse(complement(converse(X_110))))) ),
inference(subst,[],[refute_0_41:[bind(X,$fot(join(meet(converse(complement(converse(complement(complement(X_110))))),X_110),complement(X_110)))),bind(Y,$fot(join(complement(X_110),meet(converse(complement(converse(complement(complement(X_110))))),X_110)))),bind(Z,$fot(join(complement(X_110),meet(X_110,converse(complement(converse(X_110)))))))]]) ).
cnf(refute_0_1627,plain,
( join(complement(X_110),meet(converse(complement(converse(complement(complement(X_110))))),X_110)) != join(complement(X_110),meet(X_110,converse(complement(converse(X_110)))))
| join(meet(converse(complement(converse(complement(complement(X_110))))),X_110),complement(X_110)) = join(complement(X_110),meet(X_110,converse(complement(converse(X_110))))) ),
inference(resolve,[$cnf( $equal(join(meet(converse(complement(converse(complement(complement(X_110))))),X_110),complement(X_110)),join(complement(X_110),meet(converse(complement(converse(complement(complement(X_110))))),X_110))) )],[refute_0_1625,refute_0_1626]) ).
cnf(refute_0_1628,plain,
join(meet(converse(complement(converse(complement(complement(X_110))))),X_110),complement(X_110)) = join(complement(X_110),meet(X_110,converse(complement(converse(X_110))))),
inference(resolve,[$cnf( $equal(join(complement(X_110),meet(converse(complement(converse(complement(complement(X_110))))),X_110)),join(complement(X_110),meet(X_110,converse(complement(converse(X_110)))))) )],[refute_0_1624,refute_0_1627]) ).
cnf(refute_0_1629,plain,
( converse(complement(converse(X_110))) != join(meet(converse(complement(converse(complement(complement(X_110))))),X_110),complement(X_110))
| join(meet(converse(complement(converse(complement(complement(X_110))))),X_110),complement(X_110)) != join(complement(X_110),meet(X_110,converse(complement(converse(X_110)))))
| converse(complement(converse(X_110))) = join(complement(X_110),meet(X_110,converse(complement(converse(X_110))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(complement(converse(X_110))),join(complement(X_110),meet(X_110,converse(complement(converse(X_110)))))) ),[0],$fot(join(meet(converse(complement(converse(complement(complement(X_110))))),X_110),complement(X_110)))]]) ).
cnf(refute_0_1630,plain,
( converse(complement(converse(X_110))) != join(meet(converse(complement(converse(complement(complement(X_110))))),X_110),complement(X_110))
| converse(complement(converse(X_110))) = join(complement(X_110),meet(X_110,converse(complement(converse(X_110))))) ),
inference(resolve,[$cnf( $equal(join(meet(converse(complement(converse(complement(complement(X_110))))),X_110),complement(X_110)),join(complement(X_110),meet(X_110,converse(complement(converse(X_110)))))) )],[refute_0_1628,refute_0_1629]) ).
cnf(refute_0_1631,plain,
( converse(complement(converse(complement(complement(X_110))))) != join(meet(converse(complement(converse(complement(complement(X_110))))),X_110),complement(X_110))
| converse(complement(converse(X_110))) = join(complement(X_110),meet(X_110,converse(complement(converse(X_110))))) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(X_110))),join(meet(converse(complement(converse(complement(complement(X_110))))),X_110),complement(X_110))) )],[refute_0_1612,refute_0_1630]) ).
cnf(refute_0_1632,plain,
converse(complement(converse(X_110))) = join(complement(X_110),meet(X_110,converse(complement(converse(X_110))))),
inference(resolve,[$cnf( $equal(converse(complement(converse(complement(complement(X_110))))),join(meet(converse(complement(converse(complement(complement(X_110))))),X_110),complement(X_110))) )],[refute_0_1597,refute_0_1631]) ).
cnf(refute_0_1633,plain,
join(complement(X_110),zero) = complement(X_110),
inference(subst,[],[refute_0_930:[bind(X_42,$fot(complement(X_110)))]]) ).
cnf(refute_0_1634,plain,
meet(X_39,X_40) = meet(X_40,X_39),
inference(subst,[],[refute_0_142:[bind(X_6,$fot(X_39)),bind(X_7,$fot(X_40))]]) ).
cnf(refute_0_1635,plain,
( meet(X_39,X_40) != meet(X_40,X_39)
| meet(X_40,X_39) = meet(X_39,X_40) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(meet(X_39,X_40))),bind(Y,$fot(meet(X_40,X_39)))]]) ).
cnf(refute_0_1636,plain,
meet(X_40,X_39) = meet(X_39,X_40),
inference(resolve,[$cnf( $equal(meet(X_39,X_40),meet(X_40,X_39)) )],[refute_0_1634,refute_0_1635]) ).
cnf(refute_0_1637,plain,
( X_40 != join(meet(X_40,X_39),meet(X_40,complement(X_39)))
| meet(X_40,X_39) != meet(X_39,X_40)
| X_40 = join(meet(X_39,X_40),meet(X_40,complement(X_39))) ),
introduced(tautology,[equality,[$cnf( $equal(X_40,join(meet(X_40,X_39),meet(X_40,complement(X_39)))) ),[1,0],$fot(meet(X_39,X_40))]]) ).
cnf(refute_0_1638,plain,
( X_40 != join(meet(X_40,X_39),meet(X_40,complement(X_39)))
| X_40 = join(meet(X_39,X_40),meet(X_40,complement(X_39))) ),
inference(resolve,[$cnf( $equal(meet(X_40,X_39),meet(X_39,X_40)) )],[refute_0_1636,refute_0_1637]) ).
cnf(refute_0_1639,plain,
X_40 = join(meet(X_39,X_40),meet(X_40,complement(X_39))),
inference(resolve,[$cnf( $equal(X_40,join(meet(X_40,X_39),meet(X_40,complement(X_39)))) )],[refute_0_1486,refute_0_1638]) ).
cnf(refute_0_1640,plain,
converse(complement(converse(complement(X_112)))) = join(meet(X_112,converse(complement(converse(complement(X_112))))),meet(converse(complement(converse(complement(X_112)))),complement(X_112))),
inference(subst,[],[refute_0_1639:[bind(X_39,$fot(X_112)),bind(X_40,$fot(converse(complement(converse(complement(X_112))))))]]) ).
cnf(refute_0_1641,plain,
X_112 = meet(X_112,converse(complement(converse(complement(X_112))))),
inference(subst,[],[refute_0_1591:[bind(X_29,$fot(X_112))]]) ).
cnf(refute_0_1642,plain,
( X_112 != meet(X_112,converse(complement(converse(complement(X_112)))))
| meet(X_112,converse(complement(converse(complement(X_112))))) = X_112 ),
inference(subst,[],[refute_0_5:[bind(X,$fot(X_112)),bind(Y,$fot(meet(X_112,converse(complement(converse(complement(X_112)))))))]]) ).
cnf(refute_0_1643,plain,
meet(X_112,converse(complement(converse(complement(X_112))))) = X_112,
inference(resolve,[$cnf( $equal(X_112,meet(X_112,converse(complement(converse(complement(X_112)))))) )],[refute_0_1641,refute_0_1642]) ).
cnf(refute_0_1644,plain,
( converse(complement(converse(complement(X_112)))) != join(meet(X_112,converse(complement(converse(complement(X_112))))),meet(converse(complement(converse(complement(X_112)))),complement(X_112)))
| meet(X_112,converse(complement(converse(complement(X_112))))) != X_112
| converse(complement(converse(complement(X_112)))) = join(X_112,meet(converse(complement(converse(complement(X_112)))),complement(X_112))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(complement(X_112)))),join(meet(X_112,converse(complement(converse(complement(X_112))))),meet(converse(complement(converse(complement(X_112)))),complement(X_112)))) ),[1,0],$fot(X_112)]]) ).
cnf(refute_0_1645,plain,
( converse(complement(converse(complement(X_112)))) != join(meet(X_112,converse(complement(converse(complement(X_112))))),meet(converse(complement(converse(complement(X_112)))),complement(X_112)))
| converse(complement(converse(complement(X_112)))) = join(X_112,meet(converse(complement(converse(complement(X_112)))),complement(X_112))) ),
inference(resolve,[$cnf( $equal(meet(X_112,converse(complement(converse(complement(X_112))))),X_112) )],[refute_0_1643,refute_0_1644]) ).
cnf(refute_0_1646,plain,
converse(complement(converse(complement(X_112)))) = join(X_112,meet(converse(complement(converse(complement(X_112)))),complement(X_112))),
inference(resolve,[$cnf( $equal(converse(complement(converse(complement(X_112)))),join(meet(X_112,converse(complement(converse(complement(X_112))))),meet(converse(complement(converse(complement(X_112)))),complement(X_112)))) )],[refute_0_1640,refute_0_1645]) ).
cnf(refute_0_1647,plain,
meet(converse(complement(converse(complement(X_112)))),complement(X_112)) = meet(complement(X_112),converse(complement(converse(complement(X_112))))),
inference(subst,[],[refute_0_144:[bind(X_6,$fot(complement(X_112))),bind(X_7,$fot(converse(complement(converse(complement(X_112))))))]]) ).
cnf(refute_0_1648,plain,
join(X_112,meet(converse(complement(converse(complement(X_112)))),complement(X_112))) = join(X_112,meet(converse(complement(converse(complement(X_112)))),complement(X_112))),
introduced(tautology,[refl,[$fot(join(X_112,meet(converse(complement(converse(complement(X_112)))),complement(X_112))))]]) ).
cnf(refute_0_1649,plain,
( join(X_112,meet(converse(complement(converse(complement(X_112)))),complement(X_112))) != join(X_112,meet(converse(complement(converse(complement(X_112)))),complement(X_112)))
| meet(converse(complement(converse(complement(X_112)))),complement(X_112)) != meet(complement(X_112),converse(complement(converse(complement(X_112)))))
| join(X_112,meet(converse(complement(converse(complement(X_112)))),complement(X_112))) = join(X_112,meet(complement(X_112),converse(complement(converse(complement(X_112)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_112,meet(converse(complement(converse(complement(X_112)))),complement(X_112))),join(X_112,meet(converse(complement(converse(complement(X_112)))),complement(X_112)))) ),[1,1],$fot(meet(complement(X_112),converse(complement(converse(complement(X_112))))))]]) ).
cnf(refute_0_1650,plain,
( meet(converse(complement(converse(complement(X_112)))),complement(X_112)) != meet(complement(X_112),converse(complement(converse(complement(X_112)))))
| join(X_112,meet(converse(complement(converse(complement(X_112)))),complement(X_112))) = join(X_112,meet(complement(X_112),converse(complement(converse(complement(X_112)))))) ),
inference(resolve,[$cnf( $equal(join(X_112,meet(converse(complement(converse(complement(X_112)))),complement(X_112))),join(X_112,meet(converse(complement(converse(complement(X_112)))),complement(X_112)))) )],[refute_0_1648,refute_0_1649]) ).
cnf(refute_0_1651,plain,
join(X_112,meet(converse(complement(converse(complement(X_112)))),complement(X_112))) = join(X_112,meet(complement(X_112),converse(complement(converse(complement(X_112)))))),
inference(resolve,[$cnf( $equal(meet(converse(complement(converse(complement(X_112)))),complement(X_112)),meet(complement(X_112),converse(complement(converse(complement(X_112)))))) )],[refute_0_1647,refute_0_1650]) ).
cnf(refute_0_1652,plain,
( converse(complement(converse(complement(X_112)))) != join(X_112,meet(converse(complement(converse(complement(X_112)))),complement(X_112)))
| join(X_112,meet(converse(complement(converse(complement(X_112)))),complement(X_112))) != join(X_112,meet(complement(X_112),converse(complement(converse(complement(X_112))))))
| converse(complement(converse(complement(X_112)))) = join(X_112,meet(complement(X_112),converse(complement(converse(complement(X_112)))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(complement(converse(complement(X_112)))),join(X_112,meet(complement(X_112),converse(complement(converse(complement(X_112))))))) ),[0],$fot(join(X_112,meet(converse(complement(converse(complement(X_112)))),complement(X_112))))]]) ).
cnf(refute_0_1653,plain,
( converse(complement(converse(complement(X_112)))) != join(X_112,meet(converse(complement(converse(complement(X_112)))),complement(X_112)))
| converse(complement(converse(complement(X_112)))) = join(X_112,meet(complement(X_112),converse(complement(converse(complement(X_112)))))) ),
inference(resolve,[$cnf( $equal(join(X_112,meet(converse(complement(converse(complement(X_112)))),complement(X_112))),join(X_112,meet(complement(X_112),converse(complement(converse(complement(X_112))))))) )],[refute_0_1651,refute_0_1652]) ).
cnf(refute_0_1654,plain,
converse(complement(converse(complement(X_112)))) = join(X_112,meet(complement(X_112),converse(complement(converse(complement(X_112)))))),
inference(resolve,[$cnf( $equal(converse(complement(converse(complement(X_112)))),join(X_112,meet(converse(complement(converse(complement(X_112)))),complement(X_112)))) )],[refute_0_1646,refute_0_1653]) ).
cnf(refute_0_1655,plain,
converse(complement(converse(complement(meet(X_214,converse(complement(converse(X_214)))))))) = join(meet(X_214,converse(complement(converse(X_214)))),meet(complement(meet(X_214,converse(complement(converse(X_214))))),converse(complement(converse(complement(meet(X_214,converse(complement(converse(X_214)))))))))),
inference(subst,[],[refute_0_1654:[bind(X_112,$fot(meet(X_214,converse(complement(converse(X_214))))))]]) ).
cnf(refute_0_1656,plain,
converse(top) = join(join(X_38,converse(X_37)),converse(complement(converse(join(X_38,converse(X_37)))))),
inference(subst,[],[refute_0_491:[bind(X_13,$fot(join(X_38,converse(X_37))))]]) ).
cnf(refute_0_1657,plain,
converse(join(X_38,converse(X_37))) = join(converse(X_38),X_37),
inference(subst,[],[refute_0_1137:[bind(X0,$fot(X_37)),bind(X_11,$fot(X_38))]]) ).
cnf(refute_0_1658,plain,
( converse(join(X_38,converse(X_37))) != join(converse(X_38),X_37)
| converse(top) != join(join(X_38,converse(X_37)),converse(complement(converse(join(X_38,converse(X_37))))))
| converse(top) = join(join(X_38,converse(X_37)),converse(complement(join(converse(X_38),X_37)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(top),join(join(X_38,converse(X_37)),converse(complement(converse(join(X_38,converse(X_37))))))) ),[1,1,0,0],$fot(join(converse(X_38),X_37))]]) ).
cnf(refute_0_1659,plain,
( converse(top) != join(join(X_38,converse(X_37)),converse(complement(converse(join(X_38,converse(X_37))))))
| converse(top) = join(join(X_38,converse(X_37)),converse(complement(join(converse(X_38),X_37)))) ),
inference(resolve,[$cnf( $equal(converse(join(X_38,converse(X_37))),join(converse(X_38),X_37)) )],[refute_0_1657,refute_0_1658]) ).
cnf(refute_0_1660,plain,
converse(top) = join(join(X_38,converse(X_37)),converse(complement(join(converse(X_38),X_37)))),
inference(resolve,[$cnf( $equal(converse(top),join(join(X_38,converse(X_37)),converse(complement(converse(join(X_38,converse(X_37))))))) )],[refute_0_1656,refute_0_1659]) ).
cnf(refute_0_1661,plain,
join(converse(X_37),converse(complement(join(converse(X_38),X_37)))) = converse(join(X_37,complement(join(converse(X_38),X_37)))),
inference(subst,[],[refute_0_1510:[bind(X0,$fot(X_37)),bind(X1,$fot(complement(join(converse(X_38),X_37))))]]) ).
cnf(refute_0_1662,plain,
join(X_38,join(converse(X_37),converse(complement(join(converse(X_38),X_37))))) = join(X_38,join(converse(X_37),converse(complement(join(converse(X_38),X_37))))),
introduced(tautology,[refl,[$fot(join(X_38,join(converse(X_37),converse(complement(join(converse(X_38),X_37))))))]]) ).
cnf(refute_0_1663,plain,
( join(X_38,join(converse(X_37),converse(complement(join(converse(X_38),X_37))))) != join(X_38,join(converse(X_37),converse(complement(join(converse(X_38),X_37)))))
| join(converse(X_37),converse(complement(join(converse(X_38),X_37)))) != converse(join(X_37,complement(join(converse(X_38),X_37))))
| join(X_38,join(converse(X_37),converse(complement(join(converse(X_38),X_37))))) = join(X_38,converse(join(X_37,complement(join(converse(X_38),X_37))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_38,join(converse(X_37),converse(complement(join(converse(X_38),X_37))))),join(X_38,join(converse(X_37),converse(complement(join(converse(X_38),X_37)))))) ),[1,1],$fot(converse(join(X_37,complement(join(converse(X_38),X_37)))))]]) ).
cnf(refute_0_1664,plain,
( join(converse(X_37),converse(complement(join(converse(X_38),X_37)))) != converse(join(X_37,complement(join(converse(X_38),X_37))))
| join(X_38,join(converse(X_37),converse(complement(join(converse(X_38),X_37))))) = join(X_38,converse(join(X_37,complement(join(converse(X_38),X_37))))) ),
inference(resolve,[$cnf( $equal(join(X_38,join(converse(X_37),converse(complement(join(converse(X_38),X_37))))),join(X_38,join(converse(X_37),converse(complement(join(converse(X_38),X_37)))))) )],[refute_0_1662,refute_0_1663]) ).
cnf(refute_0_1665,plain,
join(X_38,join(converse(X_37),converse(complement(join(converse(X_38),X_37))))) = join(X_38,converse(join(X_37,complement(join(converse(X_38),X_37))))),
inference(resolve,[$cnf( $equal(join(converse(X_37),converse(complement(join(converse(X_38),X_37)))),converse(join(X_37,complement(join(converse(X_38),X_37))))) )],[refute_0_1661,refute_0_1664]) ).
cnf(refute_0_1666,plain,
join(join(X_38,converse(X_37)),converse(complement(join(converse(X_38),X_37)))) = join(X_38,join(converse(X_37),converse(complement(join(converse(X_38),X_37))))),
inference(subst,[],[refute_0_103:[bind(X0,$fot(X_38)),bind(X1,$fot(converse(X_37))),bind(X2,$fot(converse(complement(join(converse(X_38),X_37)))))]]) ).
cnf(refute_0_1667,plain,
( join(X_38,join(converse(X_37),converse(complement(join(converse(X_38),X_37))))) != join(X_38,converse(join(X_37,complement(join(converse(X_38),X_37)))))
| join(join(X_38,converse(X_37)),converse(complement(join(converse(X_38),X_37)))) != join(X_38,join(converse(X_37),converse(complement(join(converse(X_38),X_37)))))
| join(join(X_38,converse(X_37)),converse(complement(join(converse(X_38),X_37)))) = join(X_38,converse(join(X_37,complement(join(converse(X_38),X_37))))) ),
inference(subst,[],[refute_0_41:[bind(X,$fot(join(join(X_38,converse(X_37)),converse(complement(join(converse(X_38),X_37)))))),bind(Y,$fot(join(X_38,join(converse(X_37),converse(complement(join(converse(X_38),X_37))))))),bind(Z,$fot(join(X_38,converse(join(X_37,complement(join(converse(X_38),X_37)))))))]]) ).
cnf(refute_0_1668,plain,
( join(X_38,join(converse(X_37),converse(complement(join(converse(X_38),X_37))))) != join(X_38,converse(join(X_37,complement(join(converse(X_38),X_37)))))
| join(join(X_38,converse(X_37)),converse(complement(join(converse(X_38),X_37)))) = join(X_38,converse(join(X_37,complement(join(converse(X_38),X_37))))) ),
inference(resolve,[$cnf( $equal(join(join(X_38,converse(X_37)),converse(complement(join(converse(X_38),X_37)))),join(X_38,join(converse(X_37),converse(complement(join(converse(X_38),X_37)))))) )],[refute_0_1666,refute_0_1667]) ).
cnf(refute_0_1669,plain,
join(join(X_38,converse(X_37)),converse(complement(join(converse(X_38),X_37)))) = join(X_38,converse(join(X_37,complement(join(converse(X_38),X_37))))),
inference(resolve,[$cnf( $equal(join(X_38,join(converse(X_37),converse(complement(join(converse(X_38),X_37))))),join(X_38,converse(join(X_37,complement(join(converse(X_38),X_37)))))) )],[refute_0_1665,refute_0_1668]) ).
cnf(refute_0_1670,plain,
( converse(top) != join(join(X_38,converse(X_37)),converse(complement(join(converse(X_38),X_37))))
| join(join(X_38,converse(X_37)),converse(complement(join(converse(X_38),X_37)))) != join(X_38,converse(join(X_37,complement(join(converse(X_38),X_37)))))
| converse(top) = join(X_38,converse(join(X_37,complement(join(converse(X_38),X_37))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(top),join(X_38,converse(join(X_37,complement(join(converse(X_38),X_37)))))) ),[0],$fot(join(join(X_38,converse(X_37)),converse(complement(join(converse(X_38),X_37)))))]]) ).
cnf(refute_0_1671,plain,
( converse(top) != join(join(X_38,converse(X_37)),converse(complement(join(converse(X_38),X_37))))
| converse(top) = join(X_38,converse(join(X_37,complement(join(converse(X_38),X_37))))) ),
inference(resolve,[$cnf( $equal(join(join(X_38,converse(X_37)),converse(complement(join(converse(X_38),X_37)))),join(X_38,converse(join(X_37,complement(join(converse(X_38),X_37)))))) )],[refute_0_1669,refute_0_1670]) ).
cnf(refute_0_1672,plain,
converse(top) = join(X_38,converse(join(X_37,complement(join(converse(X_38),X_37))))),
inference(resolve,[$cnf( $equal(converse(top),join(join(X_38,converse(X_37)),converse(complement(join(converse(X_38),X_37))))) )],[refute_0_1660,refute_0_1671]) ).
cnf(refute_0_1673,plain,
( converse(top) != join(X_38,converse(join(X_37,complement(join(converse(X_38),X_37)))))
| converse(top) != top
| top = join(X_38,converse(join(X_37,complement(join(converse(X_38),X_37))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(top),join(X_38,converse(join(X_37,complement(join(converse(X_38),X_37)))))) ),[0],$fot(top)]]) ).
cnf(refute_0_1674,plain,
( converse(top) != join(X_38,converse(join(X_37,complement(join(converse(X_38),X_37)))))
| top = join(X_38,converse(join(X_37,complement(join(converse(X_38),X_37))))) ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_1030,refute_0_1673]) ).
cnf(refute_0_1675,plain,
top = join(X_38,converse(join(X_37,complement(join(converse(X_38),X_37))))),
inference(resolve,[$cnf( $equal(converse(top),join(X_38,converse(join(X_37,complement(join(converse(X_38),X_37)))))) )],[refute_0_1672,refute_0_1674]) ).
cnf(refute_0_1676,plain,
top = join(X_38,converse(join(converse(complement(converse(complement(converse(complement(converse(converse(X_38)))))))),complement(join(converse(X_38),converse(complement(converse(complement(converse(complement(converse(converse(X_38))))))))))))),
inference(subst,[],[refute_0_1675:[bind(X_37,$fot(converse(complement(converse(complement(converse(complement(converse(converse(X_38))))))))))]]) ).
cnf(refute_0_1677,plain,
join(X_126,join(converse(complement(converse(X_126))),X_128)) = join(join(X_126,converse(complement(converse(X_126)))),X_128),
inference(subst,[],[refute_0_101:[bind(X0,$fot(X_126)),bind(X1,$fot(converse(complement(converse(X_126))))),bind(X2,$fot(X_128))]]) ).
cnf(refute_0_1678,plain,
( converse(top) != join(X_13,converse(complement(converse(X_13))))
| converse(top) != top
| top = join(X_13,converse(complement(converse(X_13)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(top),join(X_13,converse(complement(converse(X_13))))) ),[0],$fot(top)]]) ).
cnf(refute_0_1679,plain,
( converse(top) != join(X_13,converse(complement(converse(X_13))))
| top = join(X_13,converse(complement(converse(X_13)))) ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_1030,refute_0_1678]) ).
cnf(refute_0_1680,plain,
top = join(X_13,converse(complement(converse(X_13)))),
inference(resolve,[$cnf( $equal(converse(top),join(X_13,converse(complement(converse(X_13))))) )],[refute_0_491,refute_0_1679]) ).
cnf(refute_0_1681,plain,
top = join(X_126,converse(complement(converse(X_126)))),
inference(subst,[],[refute_0_1680:[bind(X_13,$fot(X_126))]]) ).
cnf(refute_0_1682,plain,
( top != join(X_126,converse(complement(converse(X_126))))
| join(X_126,converse(complement(converse(X_126)))) = top ),
inference(subst,[],[refute_0_5:[bind(X,$fot(top)),bind(Y,$fot(join(X_126,converse(complement(converse(X_126))))))]]) ).
cnf(refute_0_1683,plain,
join(X_126,converse(complement(converse(X_126)))) = top,
inference(resolve,[$cnf( $equal(top,join(X_126,converse(complement(converse(X_126))))) )],[refute_0_1681,refute_0_1682]) ).
cnf(refute_0_1684,plain,
( join(X_126,converse(complement(converse(X_126)))) != top
| join(X_126,join(converse(complement(converse(X_126))),X_128)) != join(join(X_126,converse(complement(converse(X_126)))),X_128)
| join(X_126,join(converse(complement(converse(X_126))),X_128)) = join(top,X_128) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_126,join(converse(complement(converse(X_126))),X_128)),join(join(X_126,converse(complement(converse(X_126)))),X_128)) ),[1,0],$fot(top)]]) ).
cnf(refute_0_1685,plain,
( join(X_126,join(converse(complement(converse(X_126))),X_128)) != join(join(X_126,converse(complement(converse(X_126)))),X_128)
| join(X_126,join(converse(complement(converse(X_126))),X_128)) = join(top,X_128) ),
inference(resolve,[$cnf( $equal(join(X_126,converse(complement(converse(X_126)))),top) )],[refute_0_1683,refute_0_1684]) ).
cnf(refute_0_1686,plain,
join(X_126,join(converse(complement(converse(X_126))),X_128)) = join(top,X_128),
inference(resolve,[$cnf( $equal(join(X_126,join(converse(complement(converse(X_126))),X_128)),join(join(X_126,converse(complement(converse(X_126)))),X_128)) )],[refute_0_1677,refute_0_1685]) ).
cnf(refute_0_1687,plain,
( join(X_126,join(converse(complement(converse(X_126))),X_128)) != join(top,X_128)
| join(top,X_128) != top
| join(X_126,join(converse(complement(converse(X_126))),X_128)) = top ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_126,join(converse(complement(converse(X_126))),X_128)),top) ),[0],$fot(join(top,X_128))]]) ).
cnf(refute_0_1688,plain,
( join(X_126,join(converse(complement(converse(X_126))),X_128)) != join(top,X_128)
| join(X_126,join(converse(complement(converse(X_126))),X_128)) = top ),
inference(resolve,[$cnf( $equal(join(top,X_128),top) )],[refute_0_1523,refute_0_1687]) ).
cnf(refute_0_1689,plain,
join(X_126,join(converse(complement(converse(X_126))),X_128)) = top,
inference(resolve,[$cnf( $equal(join(X_126,join(converse(complement(converse(X_126))),X_128)),join(top,X_128)) )],[refute_0_1686,refute_0_1688]) ).
cnf(refute_0_1690,plain,
join(X_126,join(converse(complement(converse(X_126))),meet(complement(converse(complement(converse(X_126)))),converse(complement(converse(complement(converse(complement(converse(X_126)))))))))) = top,
inference(subst,[],[refute_0_1689:[bind(X_128,$fot(meet(complement(converse(complement(converse(X_126)))),converse(complement(converse(complement(converse(complement(converse(X_126))))))))))]]) ).
cnf(refute_0_1691,plain,
converse(complement(converse(complement(converse(complement(converse(X_126))))))) = join(converse(complement(converse(X_126))),meet(complement(converse(complement(converse(X_126)))),converse(complement(converse(complement(converse(complement(converse(X_126))))))))),
inference(subst,[],[refute_0_1654:[bind(X_112,$fot(converse(complement(converse(X_126)))))]]) ).
cnf(refute_0_1692,plain,
( converse(complement(converse(complement(converse(complement(converse(X_126))))))) != join(converse(complement(converse(X_126))),meet(complement(converse(complement(converse(X_126)))),converse(complement(converse(complement(converse(complement(converse(X_126)))))))))
| join(converse(complement(converse(X_126))),meet(complement(converse(complement(converse(X_126)))),converse(complement(converse(complement(converse(complement(converse(X_126))))))))) = converse(complement(converse(complement(converse(complement(converse(X_126))))))) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(converse(complement(converse(complement(converse(complement(converse(X_126))))))))),bind(Y,$fot(join(converse(complement(converse(X_126))),meet(complement(converse(complement(converse(X_126)))),converse(complement(converse(complement(converse(complement(converse(X_126)))))))))))]]) ).
cnf(refute_0_1693,plain,
join(converse(complement(converse(X_126))),meet(complement(converse(complement(converse(X_126)))),converse(complement(converse(complement(converse(complement(converse(X_126))))))))) = converse(complement(converse(complement(converse(complement(converse(X_126))))))),
inference(resolve,[$cnf( $equal(converse(complement(converse(complement(converse(complement(converse(X_126))))))),join(converse(complement(converse(X_126))),meet(complement(converse(complement(converse(X_126)))),converse(complement(converse(complement(converse(complement(converse(X_126)))))))))) )],[refute_0_1691,refute_0_1692]) ).
cnf(refute_0_1694,plain,
( join(X_126,join(converse(complement(converse(X_126))),meet(complement(converse(complement(converse(X_126)))),converse(complement(converse(complement(converse(complement(converse(X_126)))))))))) != top
| join(converse(complement(converse(X_126))),meet(complement(converse(complement(converse(X_126)))),converse(complement(converse(complement(converse(complement(converse(X_126))))))))) != converse(complement(converse(complement(converse(complement(converse(X_126)))))))
| join(X_126,converse(complement(converse(complement(converse(complement(converse(X_126)))))))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(X_126,join(converse(complement(converse(X_126))),meet(complement(converse(complement(converse(X_126)))),converse(complement(converse(complement(converse(complement(converse(X_126)))))))))),top) ),[0,1],$fot(converse(complement(converse(complement(converse(complement(converse(X_126))))))))]]) ).
cnf(refute_0_1695,plain,
( join(X_126,join(converse(complement(converse(X_126))),meet(complement(converse(complement(converse(X_126)))),converse(complement(converse(complement(converse(complement(converse(X_126)))))))))) != top
| join(X_126,converse(complement(converse(complement(converse(complement(converse(X_126)))))))) = top ),
inference(resolve,[$cnf( $equal(join(converse(complement(converse(X_126))),meet(complement(converse(complement(converse(X_126)))),converse(complement(converse(complement(converse(complement(converse(X_126))))))))),converse(complement(converse(complement(converse(complement(converse(X_126)))))))) )],[refute_0_1693,refute_0_1694]) ).
cnf(refute_0_1696,plain,
join(X_126,converse(complement(converse(complement(converse(complement(converse(X_126)))))))) = top,
inference(resolve,[$cnf( $equal(join(X_126,join(converse(complement(converse(X_126))),meet(complement(converse(complement(converse(X_126)))),converse(complement(converse(complement(converse(complement(converse(X_126)))))))))),top) )],[refute_0_1690,refute_0_1695]) ).
cnf(refute_0_1697,plain,
join(converse(X_38),converse(complement(converse(complement(converse(complement(converse(converse(X_38))))))))) = top,
inference(subst,[],[refute_0_1696:[bind(X_126,$fot(converse(X_38)))]]) ).
cnf(refute_0_1698,plain,
( join(converse(X_38),converse(complement(converse(complement(converse(complement(converse(converse(X_38))))))))) != top
| top != join(X_38,converse(join(converse(complement(converse(complement(converse(complement(converse(converse(X_38)))))))),complement(join(converse(X_38),converse(complement(converse(complement(converse(complement(converse(converse(X_38)))))))))))))
| top = join(X_38,converse(join(converse(complement(converse(complement(converse(complement(converse(converse(X_38)))))))),complement(top)))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(X_38,converse(join(converse(complement(converse(complement(converse(complement(converse(converse(X_38)))))))),complement(join(converse(X_38),converse(complement(converse(complement(converse(complement(converse(converse(X_38)))))))))))))) ),[1,1,0,1,0],$fot(top)]]) ).
cnf(refute_0_1699,plain,
( top != join(X_38,converse(join(converse(complement(converse(complement(converse(complement(converse(converse(X_38)))))))),complement(join(converse(X_38),converse(complement(converse(complement(converse(complement(converse(converse(X_38)))))))))))))
| top = join(X_38,converse(join(converse(complement(converse(complement(converse(complement(converse(converse(X_38)))))))),complement(top)))) ),
inference(resolve,[$cnf( $equal(join(converse(X_38),converse(complement(converse(complement(converse(complement(converse(converse(X_38))))))))),top) )],[refute_0_1697,refute_0_1698]) ).
cnf(refute_0_1700,plain,
top = join(X_38,converse(join(converse(complement(converse(complement(converse(complement(converse(converse(X_38)))))))),complement(top)))),
inference(resolve,[$cnf( $equal(top,join(X_38,converse(join(converse(complement(converse(complement(converse(complement(converse(converse(X_38)))))))),complement(join(converse(X_38),converse(complement(converse(complement(converse(complement(converse(converse(X_38)))))))))))))) )],[refute_0_1676,refute_0_1699]) ).
cnf(refute_0_1701,plain,
join(zero,complement(converse(complement(converse(complement(X_38)))))) = complement(converse(complement(converse(complement(X_38))))),
inference(subst,[],[refute_0_468:[bind(X_29,$fot(complement(converse(complement(converse(complement(X_38)))))))]]) ).
cnf(refute_0_1702,plain,
converse(converse(X_38)) = X_38,
inference(subst,[],[refute_0_308:[bind(X0,$fot(X_38))]]) ).
cnf(refute_0_1703,plain,
complement(converse(converse(X_38))) = complement(converse(converse(X_38))),
introduced(tautology,[refl,[$fot(complement(converse(converse(X_38))))]]) ).
cnf(refute_0_1704,plain,
( complement(converse(converse(X_38))) != complement(converse(converse(X_38)))
| converse(converse(X_38)) != X_38
| complement(converse(converse(X_38))) = complement(X_38) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(converse(X_38))),complement(converse(converse(X_38)))) ),[1,0],$fot(X_38)]]) ).
cnf(refute_0_1705,plain,
( converse(converse(X_38)) != X_38
| complement(converse(converse(X_38))) = complement(X_38) ),
inference(resolve,[$cnf( $equal(complement(converse(converse(X_38))),complement(converse(converse(X_38)))) )],[refute_0_1703,refute_0_1704]) ).
cnf(refute_0_1706,plain,
complement(converse(converse(X_38))) = complement(X_38),
inference(resolve,[$cnf( $equal(converse(converse(X_38)),X_38) )],[refute_0_1702,refute_0_1705]) ).
cnf(refute_0_1707,plain,
converse(complement(converse(converse(X_38)))) = converse(complement(converse(converse(X_38)))),
introduced(tautology,[refl,[$fot(converse(complement(converse(converse(X_38)))))]]) ).
cnf(refute_0_1708,plain,
( complement(converse(converse(X_38))) != complement(X_38)
| converse(complement(converse(converse(X_38)))) != converse(complement(converse(converse(X_38))))
| converse(complement(converse(converse(X_38)))) = converse(complement(X_38)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(converse(X_38)))),converse(complement(converse(converse(X_38))))) ),[1,0],$fot(complement(X_38))]]) ).
cnf(refute_0_1709,plain,
( complement(converse(converse(X_38))) != complement(X_38)
| converse(complement(converse(converse(X_38)))) = converse(complement(X_38)) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(converse(X_38)))),converse(complement(converse(converse(X_38))))) )],[refute_0_1707,refute_0_1708]) ).
cnf(refute_0_1710,plain,
converse(complement(converse(converse(X_38)))) = converse(complement(X_38)),
inference(resolve,[$cnf( $equal(complement(converse(converse(X_38))),complement(X_38)) )],[refute_0_1706,refute_0_1709]) ).
cnf(refute_0_1711,plain,
complement(converse(complement(converse(converse(X_38))))) = complement(converse(complement(converse(converse(X_38))))),
introduced(tautology,[refl,[$fot(complement(converse(complement(converse(converse(X_38))))))]]) ).
cnf(refute_0_1712,plain,
( complement(converse(complement(converse(converse(X_38))))) != complement(converse(complement(converse(converse(X_38)))))
| converse(complement(converse(converse(X_38)))) != converse(complement(X_38))
| complement(converse(complement(converse(converse(X_38))))) = complement(converse(complement(X_38))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(complement(converse(converse(X_38))))),complement(converse(complement(converse(converse(X_38)))))) ),[1,0],$fot(converse(complement(X_38)))]]) ).
cnf(refute_0_1713,plain,
( converse(complement(converse(converse(X_38)))) != converse(complement(X_38))
| complement(converse(complement(converse(converse(X_38))))) = complement(converse(complement(X_38))) ),
inference(resolve,[$cnf( $equal(complement(converse(complement(converse(converse(X_38))))),complement(converse(complement(converse(converse(X_38)))))) )],[refute_0_1711,refute_0_1712]) ).
cnf(refute_0_1714,plain,
complement(converse(complement(converse(converse(X_38))))) = complement(converse(complement(X_38))),
inference(resolve,[$cnf( $equal(converse(complement(converse(converse(X_38)))),converse(complement(X_38))) )],[refute_0_1710,refute_0_1713]) ).
cnf(refute_0_1715,plain,
converse(complement(converse(complement(converse(converse(X_38)))))) = converse(complement(converse(complement(converse(converse(X_38)))))),
introduced(tautology,[refl,[$fot(converse(complement(converse(complement(converse(converse(X_38)))))))]]) ).
cnf(refute_0_1716,plain,
( complement(converse(complement(converse(converse(X_38))))) != complement(converse(complement(X_38)))
| converse(complement(converse(complement(converse(converse(X_38)))))) != converse(complement(converse(complement(converse(converse(X_38))))))
| converse(complement(converse(complement(converse(converse(X_38)))))) = converse(complement(converse(complement(X_38)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(complement(converse(converse(X_38)))))),converse(complement(converse(complement(converse(converse(X_38))))))) ),[1,0],$fot(complement(converse(complement(X_38))))]]) ).
cnf(refute_0_1717,plain,
( complement(converse(complement(converse(converse(X_38))))) != complement(converse(complement(X_38)))
| converse(complement(converse(complement(converse(converse(X_38)))))) = converse(complement(converse(complement(X_38)))) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(complement(converse(converse(X_38)))))),converse(complement(converse(complement(converse(converse(X_38))))))) )],[refute_0_1715,refute_0_1716]) ).
cnf(refute_0_1718,plain,
converse(complement(converse(complement(converse(converse(X_38)))))) = converse(complement(converse(complement(X_38)))),
inference(resolve,[$cnf( $equal(complement(converse(complement(converse(converse(X_38))))),complement(converse(complement(X_38)))) )],[refute_0_1714,refute_0_1717]) ).
cnf(refute_0_1719,plain,
complement(converse(complement(converse(complement(converse(converse(X_38))))))) = complement(converse(complement(converse(complement(converse(converse(X_38))))))),
introduced(tautology,[refl,[$fot(complement(converse(complement(converse(complement(converse(converse(X_38))))))))]]) ).
cnf(refute_0_1720,plain,
( complement(converse(complement(converse(complement(converse(converse(X_38))))))) != complement(converse(complement(converse(complement(converse(converse(X_38)))))))
| converse(complement(converse(complement(converse(converse(X_38)))))) != converse(complement(converse(complement(X_38))))
| complement(converse(complement(converse(complement(converse(converse(X_38))))))) = complement(converse(complement(converse(complement(X_38))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(complement(converse(complement(converse(converse(X_38))))))),complement(converse(complement(converse(complement(converse(converse(X_38)))))))) ),[1,0],$fot(converse(complement(converse(complement(X_38)))))]]) ).
cnf(refute_0_1721,plain,
( converse(complement(converse(complement(converse(converse(X_38)))))) != converse(complement(converse(complement(X_38))))
| complement(converse(complement(converse(complement(converse(converse(X_38))))))) = complement(converse(complement(converse(complement(X_38))))) ),
inference(resolve,[$cnf( $equal(complement(converse(complement(converse(complement(converse(converse(X_38))))))),complement(converse(complement(converse(complement(converse(converse(X_38)))))))) )],[refute_0_1719,refute_0_1720]) ).
cnf(refute_0_1722,plain,
complement(converse(complement(converse(complement(converse(converse(X_38))))))) = complement(converse(complement(converse(complement(X_38))))),
inference(resolve,[$cnf( $equal(converse(complement(converse(complement(converse(converse(X_38)))))),converse(complement(converse(complement(X_38))))) )],[refute_0_1718,refute_0_1721]) ).
cnf(refute_0_1723,plain,
join(zero,complement(converse(complement(converse(complement(converse(converse(X_38)))))))) = join(zero,complement(converse(complement(converse(complement(converse(converse(X_38)))))))),
introduced(tautology,[refl,[$fot(join(zero,complement(converse(complement(converse(complement(converse(converse(X_38)))))))))]]) ).
cnf(refute_0_1724,plain,
( complement(converse(complement(converse(complement(converse(converse(X_38))))))) != complement(converse(complement(converse(complement(X_38)))))
| join(zero,complement(converse(complement(converse(complement(converse(converse(X_38)))))))) != join(zero,complement(converse(complement(converse(complement(converse(converse(X_38))))))))
| join(zero,complement(converse(complement(converse(complement(converse(converse(X_38)))))))) = join(zero,complement(converse(complement(converse(complement(X_38)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,complement(converse(complement(converse(complement(converse(converse(X_38)))))))),join(zero,complement(converse(complement(converse(complement(converse(converse(X_38))))))))) ),[1,1],$fot(complement(converse(complement(converse(complement(X_38))))))]]) ).
cnf(refute_0_1725,plain,
( complement(converse(complement(converse(complement(converse(converse(X_38))))))) != complement(converse(complement(converse(complement(X_38)))))
| join(zero,complement(converse(complement(converse(complement(converse(converse(X_38)))))))) = join(zero,complement(converse(complement(converse(complement(X_38)))))) ),
inference(resolve,[$cnf( $equal(join(zero,complement(converse(complement(converse(complement(converse(converse(X_38)))))))),join(zero,complement(converse(complement(converse(complement(converse(converse(X_38))))))))) )],[refute_0_1723,refute_0_1724]) ).
cnf(refute_0_1726,plain,
join(zero,complement(converse(complement(converse(complement(converse(converse(X_38)))))))) = join(zero,complement(converse(complement(converse(complement(X_38)))))),
inference(resolve,[$cnf( $equal(complement(converse(complement(converse(complement(converse(converse(X_38))))))),complement(converse(complement(converse(complement(X_38)))))) )],[refute_0_1722,refute_0_1725]) ).
cnf(refute_0_1727,plain,
converse(complement(top)) = converse(complement(top)),
introduced(tautology,[refl,[$fot(converse(complement(top)))]]) ).
cnf(refute_0_1728,plain,
( complement(top) != zero
| converse(complement(top)) != converse(complement(top))
| converse(complement(top)) = converse(zero) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(top)),converse(complement(top))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_1729,plain,
( complement(top) != zero
| converse(complement(top)) = converse(zero) ),
inference(resolve,[$cnf( $equal(converse(complement(top)),converse(complement(top))) )],[refute_0_1727,refute_0_1728]) ).
cnf(refute_0_1730,plain,
converse(complement(top)) = converse(zero),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_49,refute_0_1729]) ).
cnf(refute_0_1731,plain,
( converse(complement(top)) != converse(zero)
| converse(zero) != zero
| converse(complement(top)) = zero ),
inference(subst,[],[refute_0_41:[bind(X,$fot(converse(complement(top)))),bind(Y,$fot(converse(zero))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_1732,plain,
( converse(zero) != zero
| converse(complement(top)) = zero ),
inference(resolve,[$cnf( $equal(converse(complement(top)),converse(zero)) )],[refute_0_1730,refute_0_1731]) ).
cnf(refute_0_1733,plain,
converse(complement(top)) = zero,
inference(resolve,[$cnf( $equal(converse(zero),zero) )],[refute_0_1044,refute_0_1732]) ).
cnf(refute_0_1734,plain,
join(converse(complement(top)),complement(converse(complement(converse(complement(converse(converse(X_38)))))))) = join(converse(complement(top)),complement(converse(complement(converse(complement(converse(converse(X_38)))))))),
introduced(tautology,[refl,[$fot(join(converse(complement(top)),complement(converse(complement(converse(complement(converse(converse(X_38)))))))))]]) ).
cnf(refute_0_1735,plain,
( converse(complement(top)) != zero
| join(converse(complement(top)),complement(converse(complement(converse(complement(converse(converse(X_38)))))))) != join(converse(complement(top)),complement(converse(complement(converse(complement(converse(converse(X_38))))))))
| join(converse(complement(top)),complement(converse(complement(converse(complement(converse(converse(X_38)))))))) = join(zero,complement(converse(complement(converse(complement(converse(converse(X_38)))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(complement(top)),complement(converse(complement(converse(complement(converse(converse(X_38)))))))),join(converse(complement(top)),complement(converse(complement(converse(complement(converse(converse(X_38))))))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_1736,plain,
( converse(complement(top)) != zero
| join(converse(complement(top)),complement(converse(complement(converse(complement(converse(converse(X_38)))))))) = join(zero,complement(converse(complement(converse(complement(converse(converse(X_38)))))))) ),
inference(resolve,[$cnf( $equal(join(converse(complement(top)),complement(converse(complement(converse(complement(converse(converse(X_38)))))))),join(converse(complement(top)),complement(converse(complement(converse(complement(converse(converse(X_38))))))))) )],[refute_0_1734,refute_0_1735]) ).
cnf(refute_0_1737,plain,
join(converse(complement(top)),complement(converse(complement(converse(complement(converse(converse(X_38)))))))) = join(zero,complement(converse(complement(converse(complement(converse(converse(X_38)))))))),
inference(resolve,[$cnf( $equal(converse(complement(top)),zero) )],[refute_0_1733,refute_0_1736]) ).
cnf(refute_0_1738,plain,
( join(converse(complement(top)),complement(converse(complement(converse(complement(converse(converse(X_38)))))))) != join(zero,complement(converse(complement(converse(complement(converse(converse(X_38))))))))
| join(zero,complement(converse(complement(converse(complement(converse(converse(X_38)))))))) != join(zero,complement(converse(complement(converse(complement(X_38))))))
| join(converse(complement(top)),complement(converse(complement(converse(complement(converse(converse(X_38)))))))) = join(zero,complement(converse(complement(converse(complement(X_38)))))) ),
inference(subst,[],[refute_0_41:[bind(X,$fot(join(converse(complement(top)),complement(converse(complement(converse(complement(converse(converse(X_38)))))))))),bind(Y,$fot(join(zero,complement(converse(complement(converse(complement(converse(converse(X_38)))))))))),bind(Z,$fot(join(zero,complement(converse(complement(converse(complement(X_38))))))))]]) ).
cnf(refute_0_1739,plain,
( join(zero,complement(converse(complement(converse(complement(converse(converse(X_38)))))))) != join(zero,complement(converse(complement(converse(complement(X_38))))))
| join(converse(complement(top)),complement(converse(complement(converse(complement(converse(converse(X_38)))))))) = join(zero,complement(converse(complement(converse(complement(X_38)))))) ),
inference(resolve,[$cnf( $equal(join(converse(complement(top)),complement(converse(complement(converse(complement(converse(converse(X_38)))))))),join(zero,complement(converse(complement(converse(complement(converse(converse(X_38))))))))) )],[refute_0_1737,refute_0_1738]) ).
cnf(refute_0_1740,plain,
join(converse(complement(top)),complement(converse(complement(converse(complement(converse(converse(X_38)))))))) = join(zero,complement(converse(complement(converse(complement(X_38)))))),
inference(resolve,[$cnf( $equal(join(zero,complement(converse(complement(converse(complement(converse(converse(X_38)))))))),join(zero,complement(converse(complement(converse(complement(X_38))))))) )],[refute_0_1726,refute_0_1739]) ).
cnf(refute_0_1741,plain,
( join(converse(complement(top)),complement(converse(complement(converse(complement(converse(converse(X_38)))))))) != join(zero,complement(converse(complement(converse(complement(X_38))))))
| join(zero,complement(converse(complement(converse(complement(X_38)))))) != complement(converse(complement(converse(complement(X_38)))))
| join(converse(complement(top)),complement(converse(complement(converse(complement(converse(converse(X_38)))))))) = complement(converse(complement(converse(complement(X_38))))) ),
inference(subst,[],[refute_0_41:[bind(X,$fot(join(converse(complement(top)),complement(converse(complement(converse(complement(converse(converse(X_38)))))))))),bind(Y,$fot(join(zero,complement(converse(complement(converse(complement(X_38)))))))),bind(Z,$fot(complement(converse(complement(converse(complement(X_38)))))))]]) ).
cnf(refute_0_1742,plain,
( join(zero,complement(converse(complement(converse(complement(X_38)))))) != complement(converse(complement(converse(complement(X_38)))))
| join(converse(complement(top)),complement(converse(complement(converse(complement(converse(converse(X_38)))))))) = complement(converse(complement(converse(complement(X_38))))) ),
inference(resolve,[$cnf( $equal(join(converse(complement(top)),complement(converse(complement(converse(complement(converse(converse(X_38)))))))),join(zero,complement(converse(complement(converse(complement(X_38))))))) )],[refute_0_1740,refute_0_1741]) ).
cnf(refute_0_1743,plain,
join(converse(complement(top)),complement(converse(complement(converse(complement(converse(converse(X_38)))))))) = complement(converse(complement(converse(complement(X_38))))),
inference(resolve,[$cnf( $equal(join(zero,complement(converse(complement(converse(complement(X_38)))))),complement(converse(complement(converse(complement(X_38)))))) )],[refute_0_1701,refute_0_1742]) ).
cnf(refute_0_1744,plain,
converse(join(complement(top),converse(complement(converse(complement(converse(complement(converse(converse(X_38)))))))))) = join(converse(complement(top)),complement(converse(complement(converse(complement(converse(converse(X_38)))))))),
inference(subst,[],[refute_0_1137:[bind(X0,$fot(complement(converse(complement(converse(complement(converse(converse(X_38))))))))),bind(X_11,$fot(complement(top)))]]) ).
cnf(refute_0_1745,plain,
( converse(join(complement(top),converse(complement(converse(complement(converse(complement(converse(converse(X_38)))))))))) != join(converse(complement(top)),complement(converse(complement(converse(complement(converse(converse(X_38))))))))
| join(converse(complement(top)),complement(converse(complement(converse(complement(converse(converse(X_38)))))))) != complement(converse(complement(converse(complement(X_38)))))
| converse(join(complement(top),converse(complement(converse(complement(converse(complement(converse(converse(X_38)))))))))) = complement(converse(complement(converse(complement(X_38))))) ),
inference(subst,[],[refute_0_41:[bind(X,$fot(converse(join(complement(top),converse(complement(converse(complement(converse(complement(converse(converse(X_38)))))))))))),bind(Y,$fot(join(converse(complement(top)),complement(converse(complement(converse(complement(converse(converse(X_38)))))))))),bind(Z,$fot(complement(converse(complement(converse(complement(X_38)))))))]]) ).
cnf(refute_0_1746,plain,
( join(converse(complement(top)),complement(converse(complement(converse(complement(converse(converse(X_38)))))))) != complement(converse(complement(converse(complement(X_38)))))
| converse(join(complement(top),converse(complement(converse(complement(converse(complement(converse(converse(X_38)))))))))) = complement(converse(complement(converse(complement(X_38))))) ),
inference(resolve,[$cnf( $equal(converse(join(complement(top),converse(complement(converse(complement(converse(complement(converse(converse(X_38)))))))))),join(converse(complement(top)),complement(converse(complement(converse(complement(converse(converse(X_38))))))))) )],[refute_0_1744,refute_0_1745]) ).
cnf(refute_0_1747,plain,
converse(join(complement(top),converse(complement(converse(complement(converse(complement(converse(converse(X_38)))))))))) = complement(converse(complement(converse(complement(X_38))))),
inference(resolve,[$cnf( $equal(join(converse(complement(top)),complement(converse(complement(converse(complement(converse(converse(X_38)))))))),complement(converse(complement(converse(complement(X_38)))))) )],[refute_0_1743,refute_0_1746]) ).
cnf(refute_0_1748,plain,
join(X_38,converse(join(complement(top),converse(complement(converse(complement(converse(complement(converse(converse(X_38))))))))))) = join(X_38,converse(join(complement(top),converse(complement(converse(complement(converse(complement(converse(converse(X_38))))))))))),
introduced(tautology,[refl,[$fot(join(X_38,converse(join(complement(top),converse(complement(converse(complement(converse(complement(converse(converse(X_38))))))))))))]]) ).
cnf(refute_0_1749,plain,
( converse(join(complement(top),converse(complement(converse(complement(converse(complement(converse(converse(X_38)))))))))) != complement(converse(complement(converse(complement(X_38)))))
| join(X_38,converse(join(complement(top),converse(complement(converse(complement(converse(complement(converse(converse(X_38))))))))))) != join(X_38,converse(join(complement(top),converse(complement(converse(complement(converse(complement(converse(converse(X_38)))))))))))
| join(X_38,converse(join(complement(top),converse(complement(converse(complement(converse(complement(converse(converse(X_38))))))))))) = join(X_38,complement(converse(complement(converse(complement(X_38)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_38,converse(join(complement(top),converse(complement(converse(complement(converse(complement(converse(converse(X_38))))))))))),join(X_38,converse(join(complement(top),converse(complement(converse(complement(converse(complement(converse(converse(X_38)))))))))))) ),[1,1],$fot(complement(converse(complement(converse(complement(X_38))))))]]) ).
cnf(refute_0_1750,plain,
( converse(join(complement(top),converse(complement(converse(complement(converse(complement(converse(converse(X_38)))))))))) != complement(converse(complement(converse(complement(X_38)))))
| join(X_38,converse(join(complement(top),converse(complement(converse(complement(converse(complement(converse(converse(X_38))))))))))) = join(X_38,complement(converse(complement(converse(complement(X_38)))))) ),
inference(resolve,[$cnf( $equal(join(X_38,converse(join(complement(top),converse(complement(converse(complement(converse(complement(converse(converse(X_38))))))))))),join(X_38,converse(join(complement(top),converse(complement(converse(complement(converse(complement(converse(converse(X_38)))))))))))) )],[refute_0_1748,refute_0_1749]) ).
cnf(refute_0_1751,plain,
join(X_38,converse(join(complement(top),converse(complement(converse(complement(converse(complement(converse(converse(X_38))))))))))) = join(X_38,complement(converse(complement(converse(complement(X_38)))))),
inference(resolve,[$cnf( $equal(converse(join(complement(top),converse(complement(converse(complement(converse(complement(converse(converse(X_38)))))))))),complement(converse(complement(converse(complement(X_38)))))) )],[refute_0_1747,refute_0_1750]) ).
cnf(refute_0_1752,plain,
converse(join(converse(X0),join(X_26,X_25))) = join(X0,converse(join(X_26,X_25))),
inference(subst,[],[refute_0_484:[bind(X_12,$fot(join(X_26,X_25)))]]) ).
cnf(refute_0_1753,plain,
converse(join(X_26,X_25)) = converse(join(X_25,X_26)),
inference(subst,[],[refute_0_1514:[bind(X_11,$fot(X_25)),bind(X_12,$fot(X_26))]]) ).
cnf(refute_0_1754,plain,
( converse(join(X_26,X_25)) != converse(join(X_25,X_26))
| converse(join(converse(X0),join(X_26,X_25))) != join(X0,converse(join(X_26,X_25)))
| converse(join(converse(X0),join(X_26,X_25))) = join(X0,converse(join(X_25,X_26))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X0),join(X_26,X_25))),join(X0,converse(join(X_26,X_25)))) ),[1,1],$fot(converse(join(X_25,X_26)))]]) ).
cnf(refute_0_1755,plain,
( converse(join(converse(X0),join(X_26,X_25))) != join(X0,converse(join(X_26,X_25)))
| converse(join(converse(X0),join(X_26,X_25))) = join(X0,converse(join(X_25,X_26))) ),
inference(resolve,[$cnf( $equal(converse(join(X_26,X_25)),converse(join(X_25,X_26))) )],[refute_0_1753,refute_0_1754]) ).
cnf(refute_0_1756,plain,
converse(join(converse(X0),join(X_26,X_25))) = join(X0,converse(join(X_25,X_26))),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),join(X_26,X_25))),join(X0,converse(join(X_26,X_25)))) )],[refute_0_1752,refute_0_1755]) ).
cnf(refute_0_1757,plain,
( converse(join(converse(X0),join(X_26,X_25))) != join(X0,converse(join(X_25,X_26)))
| converse(join(converse(X0),join(X_26,X_25))) != join(X0,converse(join(X_26,X_25)))
| join(X0,converse(join(X_26,X_25))) = join(X0,converse(join(X_25,X_26))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X0),join(X_26,X_25))),join(X0,converse(join(X_25,X_26)))) ),[0],$fot(join(X0,converse(join(X_26,X_25))))]]) ).
cnf(refute_0_1758,plain,
( converse(join(converse(X0),join(X_26,X_25))) != join(X0,converse(join(X_25,X_26)))
| join(X0,converse(join(X_26,X_25))) = join(X0,converse(join(X_25,X_26))) ),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),join(X_26,X_25))),join(X0,converse(join(X_26,X_25)))) )],[refute_0_1752,refute_0_1757]) ).
cnf(refute_0_1759,plain,
join(X0,converse(join(X_26,X_25))) = join(X0,converse(join(X_25,X_26))),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),join(X_26,X_25))),join(X0,converse(join(X_25,X_26)))) )],[refute_0_1756,refute_0_1758]) ).
cnf(refute_0_1760,plain,
( join(X0,converse(join(X_26,X_25))) != join(X0,converse(join(X_25,X_26)))
| join(X0,converse(join(X_25,X_26))) = join(X0,converse(join(X_26,X_25))) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(join(X0,converse(join(X_26,X_25))))),bind(Y,$fot(join(X0,converse(join(X_25,X_26)))))]]) ).
cnf(refute_0_1761,plain,
join(X0,converse(join(X_25,X_26))) = join(X0,converse(join(X_26,X_25))),
inference(resolve,[$cnf( $equal(join(X0,converse(join(X_26,X_25))),join(X0,converse(join(X_25,X_26)))) )],[refute_0_1759,refute_0_1760]) ).
cnf(refute_0_1762,plain,
join(X_38,converse(join(converse(complement(converse(complement(converse(complement(converse(converse(X_38)))))))),complement(top)))) = join(X_38,converse(join(complement(top),converse(complement(converse(complement(converse(complement(converse(converse(X_38))))))))))),
inference(subst,[],[refute_0_1761:[bind(X0,$fot(X_38)),bind(X_25,$fot(converse(complement(converse(complement(converse(complement(converse(converse(X_38)))))))))),bind(X_26,$fot(complement(top)))]]) ).
cnf(refute_0_1763,plain,
( join(X_38,converse(join(complement(top),converse(complement(converse(complement(converse(complement(converse(converse(X_38))))))))))) != join(X_38,complement(converse(complement(converse(complement(X_38))))))
| join(X_38,converse(join(converse(complement(converse(complement(converse(complement(converse(converse(X_38)))))))),complement(top)))) != join(X_38,converse(join(complement(top),converse(complement(converse(complement(converse(complement(converse(converse(X_38)))))))))))
| join(X_38,converse(join(converse(complement(converse(complement(converse(complement(converse(converse(X_38)))))))),complement(top)))) = join(X_38,complement(converse(complement(converse(complement(X_38)))))) ),
inference(subst,[],[refute_0_41:[bind(X,$fot(join(X_38,converse(join(converse(complement(converse(complement(converse(complement(converse(converse(X_38)))))))),complement(top)))))),bind(Y,$fot(join(X_38,converse(join(complement(top),converse(complement(converse(complement(converse(complement(converse(converse(X_38))))))))))))),bind(Z,$fot(join(X_38,complement(converse(complement(converse(complement(X_38))))))))]]) ).
cnf(refute_0_1764,plain,
( join(X_38,converse(join(complement(top),converse(complement(converse(complement(converse(complement(converse(converse(X_38))))))))))) != join(X_38,complement(converse(complement(converse(complement(X_38))))))
| join(X_38,converse(join(converse(complement(converse(complement(converse(complement(converse(converse(X_38)))))))),complement(top)))) = join(X_38,complement(converse(complement(converse(complement(X_38)))))) ),
inference(resolve,[$cnf( $equal(join(X_38,converse(join(converse(complement(converse(complement(converse(complement(converse(converse(X_38)))))))),complement(top)))),join(X_38,converse(join(complement(top),converse(complement(converse(complement(converse(complement(converse(converse(X_38)))))))))))) )],[refute_0_1762,refute_0_1763]) ).
cnf(refute_0_1765,plain,
join(X_38,converse(join(converse(complement(converse(complement(converse(complement(converse(converse(X_38)))))))),complement(top)))) = join(X_38,complement(converse(complement(converse(complement(X_38)))))),
inference(resolve,[$cnf( $equal(join(X_38,converse(join(complement(top),converse(complement(converse(complement(converse(complement(converse(converse(X_38))))))))))),join(X_38,complement(converse(complement(converse(complement(X_38))))))) )],[refute_0_1751,refute_0_1764]) ).
cnf(refute_0_1766,plain,
( join(X_38,converse(join(converse(complement(converse(complement(converse(complement(converse(converse(X_38)))))))),complement(top)))) != join(X_38,complement(converse(complement(converse(complement(X_38))))))
| top != join(X_38,converse(join(converse(complement(converse(complement(converse(complement(converse(converse(X_38)))))))),complement(top))))
| top = join(X_38,complement(converse(complement(converse(complement(X_38)))))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(X_38,converse(join(converse(complement(converse(complement(converse(complement(converse(converse(X_38)))))))),complement(top))))) ),[1],$fot(join(X_38,complement(converse(complement(converse(complement(X_38)))))))]]) ).
cnf(refute_0_1767,plain,
( top != join(X_38,converse(join(converse(complement(converse(complement(converse(complement(converse(converse(X_38)))))))),complement(top))))
| top = join(X_38,complement(converse(complement(converse(complement(X_38)))))) ),
inference(resolve,[$cnf( $equal(join(X_38,converse(join(converse(complement(converse(complement(converse(complement(converse(converse(X_38)))))))),complement(top)))),join(X_38,complement(converse(complement(converse(complement(X_38))))))) )],[refute_0_1765,refute_0_1766]) ).
cnf(refute_0_1768,plain,
top = join(X_38,complement(converse(complement(converse(complement(X_38)))))),
inference(resolve,[$cnf( $equal(top,join(X_38,converse(join(converse(complement(converse(complement(converse(complement(converse(converse(X_38)))))))),complement(top))))) )],[refute_0_1700,refute_0_1767]) ).
cnf(refute_0_1769,plain,
top = join(complement(X1),complement(converse(complement(converse(complement(complement(X1))))))),
inference(subst,[],[refute_0_1768:[bind(X_38,$fot(complement(X1)))]]) ).
cnf(refute_0_1770,plain,
( complement(complement(X1)) != X1
| top != join(complement(X1),complement(converse(complement(converse(complement(complement(X1)))))))
| top = join(complement(X1),complement(converse(complement(converse(X1))))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(X1),complement(converse(complement(converse(complement(complement(X1)))))))) ),[1,1,0,0,0,0],$fot(X1)]]) ).
cnf(refute_0_1771,plain,
( top != join(complement(X1),complement(converse(complement(converse(complement(complement(X1)))))))
| top = join(complement(X1),complement(converse(complement(converse(X1))))) ),
inference(resolve,[$cnf( $equal(complement(complement(X1)),X1) )],[refute_0_447,refute_0_1770]) ).
cnf(refute_0_1772,plain,
top = join(complement(X1),complement(converse(complement(converse(X1))))),
inference(resolve,[$cnf( $equal(top,join(complement(X1),complement(converse(complement(converse(complement(complement(X1)))))))) )],[refute_0_1769,refute_0_1771]) ).
cnf(refute_0_1773,plain,
join(complement(X1),complement(converse(complement(converse(X1))))) = complement(meet(X1,converse(complement(converse(X1))))),
inference(subst,[],[refute_0_1303:[bind(X0,$fot(X1)),bind(X1,$fot(converse(complement(converse(X1)))))]]) ).
cnf(refute_0_1774,plain,
( join(complement(X1),complement(converse(complement(converse(X1))))) != complement(meet(X1,converse(complement(converse(X1)))))
| top != join(complement(X1),complement(converse(complement(converse(X1)))))
| top = complement(meet(X1,converse(complement(converse(X1))))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(X1),complement(converse(complement(converse(X1)))))) ),[1],$fot(complement(meet(X1,converse(complement(converse(X1))))))]]) ).
cnf(refute_0_1775,plain,
( top != join(complement(X1),complement(converse(complement(converse(X1)))))
| top = complement(meet(X1,converse(complement(converse(X1))))) ),
inference(resolve,[$cnf( $equal(join(complement(X1),complement(converse(complement(converse(X1))))),complement(meet(X1,converse(complement(converse(X1)))))) )],[refute_0_1773,refute_0_1774]) ).
cnf(refute_0_1776,plain,
top = complement(meet(X1,converse(complement(converse(X1))))),
inference(resolve,[$cnf( $equal(top,join(complement(X1),complement(converse(complement(converse(X1)))))) )],[refute_0_1772,refute_0_1775]) ).
cnf(refute_0_1777,plain,
top = complement(meet(X_214,converse(complement(converse(X_214))))),
inference(subst,[],[refute_0_1776:[bind(X1,$fot(X_214))]]) ).
cnf(refute_0_1778,plain,
( top != complement(meet(X_214,converse(complement(converse(X_214)))))
| complement(meet(X_214,converse(complement(converse(X_214))))) = top ),
inference(subst,[],[refute_0_5:[bind(X,$fot(top)),bind(Y,$fot(complement(meet(X_214,converse(complement(converse(X_214)))))))]]) ).
cnf(refute_0_1779,plain,
complement(meet(X_214,converse(complement(converse(X_214))))) = top,
inference(resolve,[$cnf( $equal(top,complement(meet(X_214,converse(complement(converse(X_214)))))) )],[refute_0_1777,refute_0_1778]) ).
cnf(refute_0_1780,plain,
( complement(meet(X_214,converse(complement(converse(X_214))))) != top
| converse(complement(converse(complement(meet(X_214,converse(complement(converse(X_214)))))))) != join(meet(X_214,converse(complement(converse(X_214)))),meet(complement(meet(X_214,converse(complement(converse(X_214))))),converse(complement(converse(complement(meet(X_214,converse(complement(converse(X_214))))))))))
| converse(complement(converse(complement(meet(X_214,converse(complement(converse(X_214)))))))) = join(meet(X_214,converse(complement(converse(X_214)))),meet(top,converse(complement(converse(complement(meet(X_214,converse(complement(converse(X_214)))))))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(complement(meet(X_214,converse(complement(converse(X_214)))))))),join(meet(X_214,converse(complement(converse(X_214)))),meet(complement(meet(X_214,converse(complement(converse(X_214))))),converse(complement(converse(complement(meet(X_214,converse(complement(converse(X_214))))))))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_0_1781,plain,
( converse(complement(converse(complement(meet(X_214,converse(complement(converse(X_214)))))))) != join(meet(X_214,converse(complement(converse(X_214)))),meet(complement(meet(X_214,converse(complement(converse(X_214))))),converse(complement(converse(complement(meet(X_214,converse(complement(converse(X_214))))))))))
| converse(complement(converse(complement(meet(X_214,converse(complement(converse(X_214)))))))) = join(meet(X_214,converse(complement(converse(X_214)))),meet(top,converse(complement(converse(complement(meet(X_214,converse(complement(converse(X_214)))))))))) ),
inference(resolve,[$cnf( $equal(complement(meet(X_214,converse(complement(converse(X_214))))),top) )],[refute_0_1779,refute_0_1780]) ).
cnf(refute_0_1782,plain,
converse(complement(converse(complement(meet(X_214,converse(complement(converse(X_214)))))))) = join(meet(X_214,converse(complement(converse(X_214)))),meet(top,converse(complement(converse(complement(meet(X_214,converse(complement(converse(X_214)))))))))),
inference(resolve,[$cnf( $equal(converse(complement(converse(complement(meet(X_214,converse(complement(converse(X_214)))))))),join(meet(X_214,converse(complement(converse(X_214)))),meet(complement(meet(X_214,converse(complement(converse(X_214))))),converse(complement(converse(complement(meet(X_214,converse(complement(converse(X_214))))))))))) )],[refute_0_1655,refute_0_1781]) ).
cnf(refute_0_1783,plain,
converse(complement(meet(X_214,converse(complement(converse(X_214)))))) = converse(complement(meet(X_214,converse(complement(converse(X_214)))))),
introduced(tautology,[refl,[$fot(converse(complement(meet(X_214,converse(complement(converse(X_214)))))))]]) ).
cnf(refute_0_1784,plain,
( complement(meet(X_214,converse(complement(converse(X_214))))) != top
| converse(complement(meet(X_214,converse(complement(converse(X_214)))))) != converse(complement(meet(X_214,converse(complement(converse(X_214))))))
| converse(complement(meet(X_214,converse(complement(converse(X_214)))))) = converse(top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(meet(X_214,converse(complement(converse(X_214)))))),converse(complement(meet(X_214,converse(complement(converse(X_214))))))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_1785,plain,
( complement(meet(X_214,converse(complement(converse(X_214))))) != top
| converse(complement(meet(X_214,converse(complement(converse(X_214)))))) = converse(top) ),
inference(resolve,[$cnf( $equal(converse(complement(meet(X_214,converse(complement(converse(X_214)))))),converse(complement(meet(X_214,converse(complement(converse(X_214))))))) )],[refute_0_1783,refute_0_1784]) ).
cnf(refute_0_1786,plain,
converse(complement(meet(X_214,converse(complement(converse(X_214)))))) = converse(top),
inference(resolve,[$cnf( $equal(complement(meet(X_214,converse(complement(converse(X_214))))),top) )],[refute_0_1779,refute_0_1785]) ).
cnf(refute_0_1787,plain,
( converse(complement(meet(X_214,converse(complement(converse(X_214)))))) != converse(top)
| converse(top) != top
| converse(complement(meet(X_214,converse(complement(converse(X_214)))))) = top ),
inference(subst,[],[refute_0_41:[bind(X,$fot(converse(complement(meet(X_214,converse(complement(converse(X_214)))))))),bind(Y,$fot(converse(top))),bind(Z,$fot(top))]]) ).
cnf(refute_0_1788,plain,
( converse(top) != top
| converse(complement(meet(X_214,converse(complement(converse(X_214)))))) = top ),
inference(resolve,[$cnf( $equal(converse(complement(meet(X_214,converse(complement(converse(X_214)))))),converse(top)) )],[refute_0_1786,refute_0_1787]) ).
cnf(refute_0_1789,plain,
converse(complement(meet(X_214,converse(complement(converse(X_214)))))) = top,
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_1030,refute_0_1788]) ).
cnf(refute_0_1790,plain,
complement(converse(complement(meet(X_214,converse(complement(converse(X_214))))))) = complement(converse(complement(meet(X_214,converse(complement(converse(X_214))))))),
introduced(tautology,[refl,[$fot(complement(converse(complement(meet(X_214,converse(complement(converse(X_214))))))))]]) ).
cnf(refute_0_1791,plain,
( complement(converse(complement(meet(X_214,converse(complement(converse(X_214))))))) != complement(converse(complement(meet(X_214,converse(complement(converse(X_214)))))))
| converse(complement(meet(X_214,converse(complement(converse(X_214)))))) != top
| complement(converse(complement(meet(X_214,converse(complement(converse(X_214))))))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(complement(meet(X_214,converse(complement(converse(X_214))))))),complement(converse(complement(meet(X_214,converse(complement(converse(X_214)))))))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_1792,plain,
( converse(complement(meet(X_214,converse(complement(converse(X_214)))))) != top
| complement(converse(complement(meet(X_214,converse(complement(converse(X_214))))))) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(converse(complement(meet(X_214,converse(complement(converse(X_214))))))),complement(converse(complement(meet(X_214,converse(complement(converse(X_214)))))))) )],[refute_0_1790,refute_0_1791]) ).
cnf(refute_0_1793,plain,
complement(converse(complement(meet(X_214,converse(complement(converse(X_214))))))) = complement(top),
inference(resolve,[$cnf( $equal(converse(complement(meet(X_214,converse(complement(converse(X_214)))))),top) )],[refute_0_1789,refute_0_1792]) ).
cnf(refute_0_1794,plain,
( complement(converse(complement(meet(X_214,converse(complement(converse(X_214))))))) != complement(top)
| complement(top) != zero
| complement(converse(complement(meet(X_214,converse(complement(converse(X_214))))))) = zero ),
inference(subst,[],[refute_0_41:[bind(X,$fot(complement(converse(complement(meet(X_214,converse(complement(converse(X_214))))))))),bind(Y,$fot(complement(top))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_1795,plain,
( complement(top) != zero
| complement(converse(complement(meet(X_214,converse(complement(converse(X_214))))))) = zero ),
inference(resolve,[$cnf( $equal(complement(converse(complement(meet(X_214,converse(complement(converse(X_214))))))),complement(top)) )],[refute_0_1793,refute_0_1794]) ).
cnf(refute_0_1796,plain,
complement(converse(complement(meet(X_214,converse(complement(converse(X_214))))))) = zero,
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_49,refute_0_1795]) ).
cnf(refute_0_1797,plain,
converse(complement(converse(complement(meet(X_214,converse(complement(converse(X_214)))))))) = converse(complement(converse(complement(meet(X_214,converse(complement(converse(X_214)))))))),
introduced(tautology,[refl,[$fot(converse(complement(converse(complement(meet(X_214,converse(complement(converse(X_214)))))))))]]) ).
cnf(refute_0_1798,plain,
( complement(converse(complement(meet(X_214,converse(complement(converse(X_214))))))) != zero
| converse(complement(converse(complement(meet(X_214,converse(complement(converse(X_214)))))))) != converse(complement(converse(complement(meet(X_214,converse(complement(converse(X_214))))))))
| converse(complement(converse(complement(meet(X_214,converse(complement(converse(X_214)))))))) = converse(zero) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(complement(meet(X_214,converse(complement(converse(X_214)))))))),converse(complement(converse(complement(meet(X_214,converse(complement(converse(X_214))))))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_1799,plain,
( complement(converse(complement(meet(X_214,converse(complement(converse(X_214))))))) != zero
| converse(complement(converse(complement(meet(X_214,converse(complement(converse(X_214)))))))) = converse(zero) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(complement(meet(X_214,converse(complement(converse(X_214)))))))),converse(complement(converse(complement(meet(X_214,converse(complement(converse(X_214))))))))) )],[refute_0_1797,refute_0_1798]) ).
cnf(refute_0_1800,plain,
converse(complement(converse(complement(meet(X_214,converse(complement(converse(X_214)))))))) = converse(zero),
inference(resolve,[$cnf( $equal(complement(converse(complement(meet(X_214,converse(complement(converse(X_214))))))),zero) )],[refute_0_1796,refute_0_1799]) ).
cnf(refute_0_1801,plain,
( converse(complement(converse(complement(meet(X_214,converse(complement(converse(X_214)))))))) != converse(zero)
| converse(zero) != zero
| converse(complement(converse(complement(meet(X_214,converse(complement(converse(X_214)))))))) = zero ),
inference(subst,[],[refute_0_41:[bind(X,$fot(converse(complement(converse(complement(meet(X_214,converse(complement(converse(X_214)))))))))),bind(Y,$fot(converse(zero))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_1802,plain,
( converse(zero) != zero
| converse(complement(converse(complement(meet(X_214,converse(complement(converse(X_214)))))))) = zero ),
inference(resolve,[$cnf( $equal(converse(complement(converse(complement(meet(X_214,converse(complement(converse(X_214)))))))),converse(zero)) )],[refute_0_1800,refute_0_1801]) ).
cnf(refute_0_1803,plain,
converse(complement(converse(complement(meet(X_214,converse(complement(converse(X_214)))))))) = zero,
inference(resolve,[$cnf( $equal(converse(zero),zero) )],[refute_0_1044,refute_0_1802]) ).
cnf(refute_0_1804,plain,
( converse(complement(converse(complement(meet(X_214,converse(complement(converse(X_214)))))))) != join(meet(X_214,converse(complement(converse(X_214)))),meet(top,converse(complement(converse(complement(meet(X_214,converse(complement(converse(X_214))))))))))
| converse(complement(converse(complement(meet(X_214,converse(complement(converse(X_214)))))))) != zero
| zero = join(meet(X_214,converse(complement(converse(X_214)))),meet(top,converse(complement(converse(complement(meet(X_214,converse(complement(converse(X_214)))))))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(complement(meet(X_214,converse(complement(converse(X_214)))))))),join(meet(X_214,converse(complement(converse(X_214)))),meet(top,converse(complement(converse(complement(meet(X_214,converse(complement(converse(X_214))))))))))) ),[0],$fot(zero)]]) ).
cnf(refute_0_1805,plain,
( converse(complement(converse(complement(meet(X_214,converse(complement(converse(X_214)))))))) != join(meet(X_214,converse(complement(converse(X_214)))),meet(top,converse(complement(converse(complement(meet(X_214,converse(complement(converse(X_214))))))))))
| zero = join(meet(X_214,converse(complement(converse(X_214)))),meet(top,converse(complement(converse(complement(meet(X_214,converse(complement(converse(X_214)))))))))) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(complement(meet(X_214,converse(complement(converse(X_214)))))))),zero) )],[refute_0_1803,refute_0_1804]) ).
cnf(refute_0_1806,plain,
join(meet(X_214,converse(complement(converse(X_214)))),zero) = meet(X_214,converse(complement(converse(X_214)))),
inference(subst,[],[refute_0_930:[bind(X_42,$fot(meet(X_214,converse(complement(converse(X_214))))))]]) ).
cnf(refute_0_1807,plain,
meet(top,converse(complement(converse(complement(meet(X_214,converse(complement(converse(X_214))))))))) = converse(complement(converse(complement(meet(X_214,converse(complement(converse(X_214)))))))),
inference(subst,[],[refute_0_418:[bind(X_10,$fot(converse(complement(converse(complement(meet(X_214,converse(complement(converse(X_214))))))))))]]) ).
cnf(refute_0_1808,plain,
( converse(complement(converse(complement(meet(X_214,converse(complement(converse(X_214)))))))) != zero
| meet(top,converse(complement(converse(complement(meet(X_214,converse(complement(converse(X_214))))))))) != converse(complement(converse(complement(meet(X_214,converse(complement(converse(X_214))))))))
| meet(top,converse(complement(converse(complement(meet(X_214,converse(complement(converse(X_214))))))))) = zero ),
inference(subst,[],[refute_0_41:[bind(X,$fot(meet(top,converse(complement(converse(complement(meet(X_214,converse(complement(converse(X_214))))))))))),bind(Y,$fot(converse(complement(converse(complement(meet(X_214,converse(complement(converse(X_214)))))))))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_1809,plain,
( converse(complement(converse(complement(meet(X_214,converse(complement(converse(X_214)))))))) != zero
| meet(top,converse(complement(converse(complement(meet(X_214,converse(complement(converse(X_214))))))))) = zero ),
inference(resolve,[$cnf( $equal(meet(top,converse(complement(converse(complement(meet(X_214,converse(complement(converse(X_214))))))))),converse(complement(converse(complement(meet(X_214,converse(complement(converse(X_214))))))))) )],[refute_0_1807,refute_0_1808]) ).
cnf(refute_0_1810,plain,
meet(top,converse(complement(converse(complement(meet(X_214,converse(complement(converse(X_214))))))))) = zero,
inference(resolve,[$cnf( $equal(converse(complement(converse(complement(meet(X_214,converse(complement(converse(X_214)))))))),zero) )],[refute_0_1803,refute_0_1809]) ).
cnf(refute_0_1811,plain,
join(meet(X_214,converse(complement(converse(X_214)))),meet(top,converse(complement(converse(complement(meet(X_214,converse(complement(converse(X_214)))))))))) = join(meet(X_214,converse(complement(converse(X_214)))),meet(top,converse(complement(converse(complement(meet(X_214,converse(complement(converse(X_214)))))))))),
introduced(tautology,[refl,[$fot(join(meet(X_214,converse(complement(converse(X_214)))),meet(top,converse(complement(converse(complement(meet(X_214,converse(complement(converse(X_214)))))))))))]]) ).
cnf(refute_0_1812,plain,
( join(meet(X_214,converse(complement(converse(X_214)))),meet(top,converse(complement(converse(complement(meet(X_214,converse(complement(converse(X_214)))))))))) != join(meet(X_214,converse(complement(converse(X_214)))),meet(top,converse(complement(converse(complement(meet(X_214,converse(complement(converse(X_214))))))))))
| meet(top,converse(complement(converse(complement(meet(X_214,converse(complement(converse(X_214))))))))) != zero
| join(meet(X_214,converse(complement(converse(X_214)))),meet(top,converse(complement(converse(complement(meet(X_214,converse(complement(converse(X_214)))))))))) = join(meet(X_214,converse(complement(converse(X_214)))),zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_214,converse(complement(converse(X_214)))),meet(top,converse(complement(converse(complement(meet(X_214,converse(complement(converse(X_214)))))))))),join(meet(X_214,converse(complement(converse(X_214)))),meet(top,converse(complement(converse(complement(meet(X_214,converse(complement(converse(X_214))))))))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_1813,plain,
( meet(top,converse(complement(converse(complement(meet(X_214,converse(complement(converse(X_214))))))))) != zero
| join(meet(X_214,converse(complement(converse(X_214)))),meet(top,converse(complement(converse(complement(meet(X_214,converse(complement(converse(X_214)))))))))) = join(meet(X_214,converse(complement(converse(X_214)))),zero) ),
inference(resolve,[$cnf( $equal(join(meet(X_214,converse(complement(converse(X_214)))),meet(top,converse(complement(converse(complement(meet(X_214,converse(complement(converse(X_214)))))))))),join(meet(X_214,converse(complement(converse(X_214)))),meet(top,converse(complement(converse(complement(meet(X_214,converse(complement(converse(X_214))))))))))) )],[refute_0_1811,refute_0_1812]) ).
cnf(refute_0_1814,plain,
join(meet(X_214,converse(complement(converse(X_214)))),meet(top,converse(complement(converse(complement(meet(X_214,converse(complement(converse(X_214)))))))))) = join(meet(X_214,converse(complement(converse(X_214)))),zero),
inference(resolve,[$cnf( $equal(meet(top,converse(complement(converse(complement(meet(X_214,converse(complement(converse(X_214))))))))),zero) )],[refute_0_1810,refute_0_1813]) ).
cnf(refute_0_1815,plain,
( join(meet(X_214,converse(complement(converse(X_214)))),meet(top,converse(complement(converse(complement(meet(X_214,converse(complement(converse(X_214)))))))))) != join(meet(X_214,converse(complement(converse(X_214)))),zero)
| join(meet(X_214,converse(complement(converse(X_214)))),zero) != meet(X_214,converse(complement(converse(X_214))))
| join(meet(X_214,converse(complement(converse(X_214)))),meet(top,converse(complement(converse(complement(meet(X_214,converse(complement(converse(X_214)))))))))) = meet(X_214,converse(complement(converse(X_214)))) ),
inference(subst,[],[refute_0_41:[bind(X,$fot(join(meet(X_214,converse(complement(converse(X_214)))),meet(top,converse(complement(converse(complement(meet(X_214,converse(complement(converse(X_214)))))))))))),bind(Y,$fot(join(meet(X_214,converse(complement(converse(X_214)))),zero))),bind(Z,$fot(meet(X_214,converse(complement(converse(X_214))))))]]) ).
cnf(refute_0_1816,plain,
( join(meet(X_214,converse(complement(converse(X_214)))),zero) != meet(X_214,converse(complement(converse(X_214))))
| join(meet(X_214,converse(complement(converse(X_214)))),meet(top,converse(complement(converse(complement(meet(X_214,converse(complement(converse(X_214)))))))))) = meet(X_214,converse(complement(converse(X_214)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_214,converse(complement(converse(X_214)))),meet(top,converse(complement(converse(complement(meet(X_214,converse(complement(converse(X_214)))))))))),join(meet(X_214,converse(complement(converse(X_214)))),zero)) )],[refute_0_1814,refute_0_1815]) ).
cnf(refute_0_1817,plain,
join(meet(X_214,converse(complement(converse(X_214)))),meet(top,converse(complement(converse(complement(meet(X_214,converse(complement(converse(X_214)))))))))) = meet(X_214,converse(complement(converse(X_214)))),
inference(resolve,[$cnf( $equal(join(meet(X_214,converse(complement(converse(X_214)))),zero),meet(X_214,converse(complement(converse(X_214))))) )],[refute_0_1806,refute_0_1816]) ).
cnf(refute_0_1818,plain,
( join(meet(X_214,converse(complement(converse(X_214)))),meet(top,converse(complement(converse(complement(meet(X_214,converse(complement(converse(X_214)))))))))) != meet(X_214,converse(complement(converse(X_214))))
| zero != join(meet(X_214,converse(complement(converse(X_214)))),meet(top,converse(complement(converse(complement(meet(X_214,converse(complement(converse(X_214))))))))))
| zero = meet(X_214,converse(complement(converse(X_214)))) ),
introduced(tautology,[equality,[$cnf( $equal(zero,join(meet(X_214,converse(complement(converse(X_214)))),meet(top,converse(complement(converse(complement(meet(X_214,converse(complement(converse(X_214))))))))))) ),[1],$fot(meet(X_214,converse(complement(converse(X_214)))))]]) ).
cnf(refute_0_1819,plain,
( zero != join(meet(X_214,converse(complement(converse(X_214)))),meet(top,converse(complement(converse(complement(meet(X_214,converse(complement(converse(X_214))))))))))
| zero = meet(X_214,converse(complement(converse(X_214)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_214,converse(complement(converse(X_214)))),meet(top,converse(complement(converse(complement(meet(X_214,converse(complement(converse(X_214)))))))))),meet(X_214,converse(complement(converse(X_214))))) )],[refute_0_1817,refute_0_1818]) ).
cnf(refute_0_1820,plain,
( converse(complement(converse(complement(meet(X_214,converse(complement(converse(X_214)))))))) != join(meet(X_214,converse(complement(converse(X_214)))),meet(top,converse(complement(converse(complement(meet(X_214,converse(complement(converse(X_214))))))))))
| zero = meet(X_214,converse(complement(converse(X_214)))) ),
inference(resolve,[$cnf( $equal(zero,join(meet(X_214,converse(complement(converse(X_214)))),meet(top,converse(complement(converse(complement(meet(X_214,converse(complement(converse(X_214))))))))))) )],[refute_0_1805,refute_0_1819]) ).
cnf(refute_0_1821,plain,
zero = meet(X_214,converse(complement(converse(X_214)))),
inference(resolve,[$cnf( $equal(converse(complement(converse(complement(meet(X_214,converse(complement(converse(X_214)))))))),join(meet(X_214,converse(complement(converse(X_214)))),meet(top,converse(complement(converse(complement(meet(X_214,converse(complement(converse(X_214))))))))))) )],[refute_0_1782,refute_0_1820]) ).
cnf(refute_0_1822,plain,
( zero != meet(X_214,converse(complement(converse(X_214))))
| meet(X_214,converse(complement(converse(X_214)))) = zero ),
inference(subst,[],[refute_0_5:[bind(X,$fot(zero)),bind(Y,$fot(meet(X_214,converse(complement(converse(X_214))))))]]) ).
cnf(refute_0_1823,plain,
meet(X_214,converse(complement(converse(X_214)))) = zero,
inference(resolve,[$cnf( $equal(zero,meet(X_214,converse(complement(converse(X_214))))) )],[refute_0_1821,refute_0_1822]) ).
cnf(refute_0_1824,plain,
meet(X_110,converse(complement(converse(X_110)))) = zero,
inference(subst,[],[refute_0_1823:[bind(X_214,$fot(X_110))]]) ).
cnf(refute_0_1825,plain,
join(complement(X_110),meet(X_110,converse(complement(converse(X_110))))) = join(complement(X_110),meet(X_110,converse(complement(converse(X_110))))),
introduced(tautology,[refl,[$fot(join(complement(X_110),meet(X_110,converse(complement(converse(X_110))))))]]) ).
cnf(refute_0_1826,plain,
( join(complement(X_110),meet(X_110,converse(complement(converse(X_110))))) != join(complement(X_110),meet(X_110,converse(complement(converse(X_110)))))
| meet(X_110,converse(complement(converse(X_110)))) != zero
| join(complement(X_110),meet(X_110,converse(complement(converse(X_110))))) = join(complement(X_110),zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_110),meet(X_110,converse(complement(converse(X_110))))),join(complement(X_110),meet(X_110,converse(complement(converse(X_110)))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_1827,plain,
( meet(X_110,converse(complement(converse(X_110)))) != zero
| join(complement(X_110),meet(X_110,converse(complement(converse(X_110))))) = join(complement(X_110),zero) ),
inference(resolve,[$cnf( $equal(join(complement(X_110),meet(X_110,converse(complement(converse(X_110))))),join(complement(X_110),meet(X_110,converse(complement(converse(X_110)))))) )],[refute_0_1825,refute_0_1826]) ).
cnf(refute_0_1828,plain,
join(complement(X_110),meet(X_110,converse(complement(converse(X_110))))) = join(complement(X_110),zero),
inference(resolve,[$cnf( $equal(meet(X_110,converse(complement(converse(X_110)))),zero) )],[refute_0_1824,refute_0_1827]) ).
cnf(refute_0_1829,plain,
( join(complement(X_110),meet(X_110,converse(complement(converse(X_110))))) != join(complement(X_110),zero)
| join(complement(X_110),zero) != complement(X_110)
| join(complement(X_110),meet(X_110,converse(complement(converse(X_110))))) = complement(X_110) ),
inference(subst,[],[refute_0_41:[bind(X,$fot(join(complement(X_110),meet(X_110,converse(complement(converse(X_110))))))),bind(Y,$fot(join(complement(X_110),zero))),bind(Z,$fot(complement(X_110)))]]) ).
cnf(refute_0_1830,plain,
( join(complement(X_110),zero) != complement(X_110)
| join(complement(X_110),meet(X_110,converse(complement(converse(X_110))))) = complement(X_110) ),
inference(resolve,[$cnf( $equal(join(complement(X_110),meet(X_110,converse(complement(converse(X_110))))),join(complement(X_110),zero)) )],[refute_0_1828,refute_0_1829]) ).
cnf(refute_0_1831,plain,
join(complement(X_110),meet(X_110,converse(complement(converse(X_110))))) = complement(X_110),
inference(resolve,[$cnf( $equal(join(complement(X_110),zero),complement(X_110)) )],[refute_0_1633,refute_0_1830]) ).
cnf(refute_0_1832,plain,
( converse(complement(converse(X_110))) != join(complement(X_110),meet(X_110,converse(complement(converse(X_110)))))
| join(complement(X_110),meet(X_110,converse(complement(converse(X_110))))) != complement(X_110)
| converse(complement(converse(X_110))) = complement(X_110) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(complement(converse(X_110))),complement(X_110)) ),[0],$fot(join(complement(X_110),meet(X_110,converse(complement(converse(X_110))))))]]) ).
cnf(refute_0_1833,plain,
( converse(complement(converse(X_110))) != join(complement(X_110),meet(X_110,converse(complement(converse(X_110)))))
| converse(complement(converse(X_110))) = complement(X_110) ),
inference(resolve,[$cnf( $equal(join(complement(X_110),meet(X_110,converse(complement(converse(X_110))))),complement(X_110)) )],[refute_0_1831,refute_0_1832]) ).
cnf(refute_0_1834,plain,
converse(complement(converse(X_110))) = complement(X_110),
inference(resolve,[$cnf( $equal(converse(complement(converse(X_110))),join(complement(X_110),meet(X_110,converse(complement(converse(X_110)))))) )],[refute_0_1632,refute_0_1833]) ).
cnf(refute_0_1835,plain,
converse(complement(converse(X_144))) = complement(X_144),
inference(subst,[],[refute_0_1834:[bind(X_110,$fot(X_144))]]) ).
cnf(refute_0_1836,plain,
join(composition(X_144,top),converse(complement(converse(X_144)))) = join(composition(X_144,top),converse(complement(converse(X_144)))),
introduced(tautology,[refl,[$fot(join(composition(X_144,top),converse(complement(converse(X_144)))))]]) ).
cnf(refute_0_1837,plain,
( converse(complement(converse(X_144))) != complement(X_144)
| join(composition(X_144,top),converse(complement(converse(X_144)))) != join(composition(X_144,top),converse(complement(converse(X_144))))
| join(composition(X_144,top),converse(complement(converse(X_144)))) = join(composition(X_144,top),complement(X_144)) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(X_144,top),converse(complement(converse(X_144)))),join(composition(X_144,top),converse(complement(converse(X_144))))) ),[1,1],$fot(complement(X_144))]]) ).
cnf(refute_0_1838,plain,
( converse(complement(converse(X_144))) != complement(X_144)
| join(composition(X_144,top),converse(complement(converse(X_144)))) = join(composition(X_144,top),complement(X_144)) ),
inference(resolve,[$cnf( $equal(join(composition(X_144,top),converse(complement(converse(X_144)))),join(composition(X_144,top),converse(complement(converse(X_144))))) )],[refute_0_1836,refute_0_1837]) ).
cnf(refute_0_1839,plain,
join(composition(X_144,top),converse(complement(converse(X_144)))) = join(composition(X_144,top),complement(X_144)),
inference(resolve,[$cnf( $equal(converse(complement(converse(X_144))),complement(X_144)) )],[refute_0_1835,refute_0_1838]) ).
cnf(refute_0_1840,plain,
( join(composition(X_144,top),complement(X_144)) != join(complement(X_144),composition(X_144,top))
| join(composition(X_144,top),converse(complement(converse(X_144)))) != join(composition(X_144,top),complement(X_144))
| join(composition(X_144,top),converse(complement(converse(X_144)))) = join(complement(X_144),composition(X_144,top)) ),
inference(subst,[],[refute_0_41:[bind(X,$fot(join(composition(X_144,top),converse(complement(converse(X_144)))))),bind(Y,$fot(join(composition(X_144,top),complement(X_144)))),bind(Z,$fot(join(complement(X_144),composition(X_144,top))))]]) ).
cnf(refute_0_1841,plain,
( join(composition(X_144,top),complement(X_144)) != join(complement(X_144),composition(X_144,top))
| join(composition(X_144,top),converse(complement(converse(X_144)))) = join(complement(X_144),composition(X_144,top)) ),
inference(resolve,[$cnf( $equal(join(composition(X_144,top),converse(complement(converse(X_144)))),join(composition(X_144,top),complement(X_144))) )],[refute_0_1839,refute_0_1840]) ).
cnf(refute_0_1842,plain,
join(composition(X_144,top),converse(complement(converse(X_144)))) = join(complement(X_144),composition(X_144,top)),
inference(resolve,[$cnf( $equal(join(composition(X_144,top),complement(X_144)),join(complement(X_144),composition(X_144,top))) )],[refute_0_1568,refute_0_1841]) ).
cnf(refute_0_1843,plain,
( join(composition(X_144,top),converse(complement(converse(X_144)))) != join(complement(X_144),composition(X_144,top))
| join(composition(X_144,top),converse(complement(converse(X_144)))) != top
| join(complement(X_144),composition(X_144,top)) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(X_144,top),converse(complement(converse(X_144)))),top) ),[0],$fot(join(complement(X_144),composition(X_144,top)))]]) ).
cnf(refute_0_1844,plain,
( join(composition(X_144,top),converse(complement(converse(X_144)))) != top
| join(complement(X_144),composition(X_144,top)) = top ),
inference(resolve,[$cnf( $equal(join(composition(X_144,top),converse(complement(converse(X_144)))),join(complement(X_144),composition(X_144,top))) )],[refute_0_1842,refute_0_1843]) ).
cnf(refute_0_1845,plain,
join(complement(X_144),composition(X_144,top)) = top,
inference(resolve,[$cnf( $equal(join(composition(X_144,top),converse(complement(converse(X_144)))),top) )],[refute_0_1567,refute_0_1844]) ).
cnf(refute_0_1846,plain,
join(complement(X0),composition(X0,top)) = top,
inference(subst,[],[refute_0_1845:[bind(X_144,$fot(X0))]]) ).
cnf(refute_0_1847,plain,
( join(complement(X0),composition(X0,top)) != top
| meet(X0,complement(composition(X0,top))) != complement(join(complement(X0),composition(X0,top)))
| meet(X0,complement(composition(X0,top))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X0,complement(composition(X0,top))),complement(join(complement(X0),composition(X0,top)))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_1848,plain,
( meet(X0,complement(composition(X0,top))) != complement(join(complement(X0),composition(X0,top)))
| meet(X0,complement(composition(X0,top))) = complement(top) ),
inference(resolve,[$cnf( $equal(join(complement(X0),composition(X0,top)),top) )],[refute_0_1846,refute_0_1847]) ).
cnf(refute_0_1849,plain,
meet(X0,complement(composition(X0,top))) = complement(top),
inference(resolve,[$cnf( $equal(meet(X0,complement(composition(X0,top))),complement(join(complement(X0),composition(X0,top)))) )],[refute_0_1501,refute_0_1848]) ).
cnf(refute_0_1850,plain,
( complement(top) != zero
| meet(X0,complement(composition(X0,top))) != complement(top)
| meet(X0,complement(composition(X0,top))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(X0,complement(composition(X0,top))),complement(top)) ),[1],$fot(zero)]]) ).
cnf(refute_0_1851,plain,
( meet(X0,complement(composition(X0,top))) != complement(top)
| meet(X0,complement(composition(X0,top))) = zero ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_49,refute_0_1850]) ).
cnf(refute_0_1852,plain,
meet(X0,complement(composition(X0,top))) = zero,
inference(resolve,[$cnf( $equal(meet(X0,complement(composition(X0,top))),complement(top)) )],[refute_0_1849,refute_0_1851]) ).
cnf(refute_0_1853,plain,
meet(complement(X_110),complement(composition(complement(X_110),top))) = zero,
inference(subst,[],[refute_0_1852:[bind(X0,$fot(complement(X_110)))]]) ).
cnf(refute_0_1854,plain,
( complement(composition(complement(X_110),top)) != join(meet(X_110,complement(composition(complement(X_110),top))),meet(complement(X_110),complement(composition(complement(X_110),top))))
| meet(complement(X_110),complement(composition(complement(X_110),top))) != zero
| complement(composition(complement(X_110),top)) = join(meet(X_110,complement(composition(complement(X_110),top))),zero) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(complement(X_110),top)),join(meet(X_110,complement(composition(complement(X_110),top))),meet(complement(X_110),complement(composition(complement(X_110),top))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_1855,plain,
( complement(composition(complement(X_110),top)) != join(meet(X_110,complement(composition(complement(X_110),top))),meet(complement(X_110),complement(composition(complement(X_110),top))))
| complement(composition(complement(X_110),top)) = join(meet(X_110,complement(composition(complement(X_110),top))),zero) ),
inference(resolve,[$cnf( $equal(meet(complement(X_110),complement(composition(complement(X_110),top))),zero) )],[refute_0_1853,refute_0_1854]) ).
cnf(refute_0_1856,plain,
complement(composition(complement(X_110),top)) = join(meet(X_110,complement(composition(complement(X_110),top))),zero),
inference(resolve,[$cnf( $equal(complement(composition(complement(X_110),top)),join(meet(X_110,complement(composition(complement(X_110),top))),meet(complement(X_110),complement(composition(complement(X_110),top))))) )],[refute_0_1500,refute_0_1855]) ).
cnf(refute_0_1857,plain,
join(meet(X_110,complement(composition(complement(X_110),top))),zero) = meet(X_110,complement(composition(complement(X_110),top))),
inference(subst,[],[refute_0_930:[bind(X_42,$fot(meet(X_110,complement(composition(complement(X_110),top)))))]]) ).
cnf(refute_0_1858,plain,
( complement(composition(complement(X_110),top)) != join(meet(X_110,complement(composition(complement(X_110),top))),zero)
| join(meet(X_110,complement(composition(complement(X_110),top))),zero) != meet(X_110,complement(composition(complement(X_110),top)))
| complement(composition(complement(X_110),top)) = meet(X_110,complement(composition(complement(X_110),top))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(composition(complement(X_110),top)),meet(X_110,complement(composition(complement(X_110),top)))) ),[0],$fot(join(meet(X_110,complement(composition(complement(X_110),top))),zero))]]) ).
cnf(refute_0_1859,plain,
( complement(composition(complement(X_110),top)) != join(meet(X_110,complement(composition(complement(X_110),top))),zero)
| complement(composition(complement(X_110),top)) = meet(X_110,complement(composition(complement(X_110),top))) ),
inference(resolve,[$cnf( $equal(join(meet(X_110,complement(composition(complement(X_110),top))),zero),meet(X_110,complement(composition(complement(X_110),top)))) )],[refute_0_1857,refute_0_1858]) ).
cnf(refute_0_1860,plain,
complement(composition(complement(X_110),top)) = meet(X_110,complement(composition(complement(X_110),top))),
inference(resolve,[$cnf( $equal(complement(composition(complement(X_110),top)),join(meet(X_110,complement(composition(complement(X_110),top))),zero)) )],[refute_0_1856,refute_0_1859]) ).
cnf(refute_0_1861,plain,
( complement(composition(complement(X_110),top)) != meet(X_110,complement(composition(complement(X_110),top)))
| meet(X_110,complement(composition(complement(X_110),top))) = complement(composition(complement(X_110),top)) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(complement(composition(complement(X_110),top)))),bind(Y,$fot(meet(X_110,complement(composition(complement(X_110),top)))))]]) ).
cnf(refute_0_1862,plain,
meet(X_110,complement(composition(complement(X_110),top))) = complement(composition(complement(X_110),top)),
inference(resolve,[$cnf( $equal(complement(composition(complement(X_110),top)),meet(X_110,complement(composition(complement(X_110),top)))) )],[refute_0_1860,refute_0_1861]) ).
cnf(refute_0_1863,plain,
meet(converse(composition(top,X_318)),complement(composition(complement(converse(composition(top,X_318))),top))) = complement(composition(complement(converse(composition(top,X_318))),top)),
inference(subst,[],[refute_0_1862:[bind(X_110,$fot(converse(composition(top,X_318))))]]) ).
cnf(refute_0_1864,plain,
composition(converse(X_318),top) = converse(composition(top,X_318)),
inference(subst,[],[refute_0_1476:[bind(X_17,$fot(X_318))]]) ).
cnf(refute_0_1865,plain,
composition(converse(X_318),composition(top,top)) = composition(converse(X_318),composition(top,top)),
introduced(tautology,[refl,[$fot(composition(converse(X_318),composition(top,top)))]]) ).
cnf(refute_0_1866,plain,
( composition(converse(X_318),composition(top,top)) != composition(converse(X_318),composition(top,top))
| composition(top,top) != top
| composition(converse(X_318),composition(top,top)) = composition(converse(X_318),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(X_318),composition(top,top)),composition(converse(X_318),composition(top,top))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_1867,plain,
( composition(top,top) != top
| composition(converse(X_318),composition(top,top)) = composition(converse(X_318),top) ),
inference(resolve,[$cnf( $equal(composition(converse(X_318),composition(top,top)),composition(converse(X_318),composition(top,top))) )],[refute_0_1865,refute_0_1866]) ).
cnf(refute_0_1868,plain,
composition(converse(X_318),composition(top,top)) = composition(converse(X_318),top),
inference(resolve,[$cnf( $equal(composition(top,top),top) )],[refute_0_1331,refute_0_1867]) ).
cnf(refute_0_1869,plain,
( composition(converse(X_318),composition(top,top)) != composition(converse(X_318),top)
| composition(converse(X_318),top) != converse(composition(top,X_318))
| composition(converse(X_318),composition(top,top)) = converse(composition(top,X_318)) ),
inference(subst,[],[refute_0_41:[bind(X,$fot(composition(converse(X_318),composition(top,top)))),bind(Y,$fot(composition(converse(X_318),top))),bind(Z,$fot(converse(composition(top,X_318))))]]) ).
cnf(refute_0_1870,plain,
( composition(converse(X_318),top) != converse(composition(top,X_318))
| composition(converse(X_318),composition(top,top)) = converse(composition(top,X_318)) ),
inference(resolve,[$cnf( $equal(composition(converse(X_318),composition(top,top)),composition(converse(X_318),top)) )],[refute_0_1868,refute_0_1869]) ).
cnf(refute_0_1871,plain,
composition(converse(X_318),composition(top,top)) = converse(composition(top,X_318)),
inference(resolve,[$cnf( $equal(composition(converse(X_318),top),converse(composition(top,X_318))) )],[refute_0_1864,refute_0_1870]) ).
cnf(refute_0_1872,plain,
complement(composition(converse(X_318),composition(top,top))) = complement(composition(converse(X_318),composition(top,top))),
introduced(tautology,[refl,[$fot(complement(composition(converse(X_318),composition(top,top))))]]) ).
cnf(refute_0_1873,plain,
( complement(composition(converse(X_318),composition(top,top))) != complement(composition(converse(X_318),composition(top,top)))
| composition(converse(X_318),composition(top,top)) != converse(composition(top,X_318))
| complement(composition(converse(X_318),composition(top,top))) = complement(converse(composition(top,X_318))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(converse(X_318),composition(top,top))),complement(composition(converse(X_318),composition(top,top)))) ),[1,0],$fot(converse(composition(top,X_318)))]]) ).
cnf(refute_0_1874,plain,
( composition(converse(X_318),composition(top,top)) != converse(composition(top,X_318))
| complement(composition(converse(X_318),composition(top,top))) = complement(converse(composition(top,X_318))) ),
inference(resolve,[$cnf( $equal(complement(composition(converse(X_318),composition(top,top))),complement(composition(converse(X_318),composition(top,top)))) )],[refute_0_1872,refute_0_1873]) ).
cnf(refute_0_1875,plain,
complement(composition(converse(X_318),composition(top,top))) = complement(converse(composition(top,X_318))),
inference(resolve,[$cnf( $equal(composition(converse(X_318),composition(top,top)),converse(composition(top,X_318))) )],[refute_0_1871,refute_0_1874]) ).
cnf(refute_0_1876,plain,
composition(complement(composition(converse(X_318),composition(top,top))),top) = composition(complement(composition(converse(X_318),composition(top,top))),top),
introduced(tautology,[refl,[$fot(composition(complement(composition(converse(X_318),composition(top,top))),top))]]) ).
cnf(refute_0_1877,plain,
( complement(composition(converse(X_318),composition(top,top))) != complement(converse(composition(top,X_318)))
| composition(complement(composition(converse(X_318),composition(top,top))),top) != composition(complement(composition(converse(X_318),composition(top,top))),top)
| composition(complement(composition(converse(X_318),composition(top,top))),top) = composition(complement(converse(composition(top,X_318))),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(composition(converse(X_318),composition(top,top))),top),composition(complement(composition(converse(X_318),composition(top,top))),top)) ),[1,0],$fot(complement(converse(composition(top,X_318))))]]) ).
cnf(refute_0_1878,plain,
( complement(composition(converse(X_318),composition(top,top))) != complement(converse(composition(top,X_318)))
| composition(complement(composition(converse(X_318),composition(top,top))),top) = composition(complement(converse(composition(top,X_318))),top) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(converse(X_318),composition(top,top))),top),composition(complement(composition(converse(X_318),composition(top,top))),top)) )],[refute_0_1876,refute_0_1877]) ).
cnf(refute_0_1879,plain,
composition(complement(composition(converse(X_318),composition(top,top))),top) = composition(complement(converse(composition(top,X_318))),top),
inference(resolve,[$cnf( $equal(complement(composition(converse(X_318),composition(top,top))),complement(converse(composition(top,X_318)))) )],[refute_0_1875,refute_0_1878]) ).
cnf(refute_0_1880,plain,
complement(composition(complement(composition(converse(X_318),composition(top,top))),top)) = complement(composition(complement(composition(converse(X_318),composition(top,top))),top)),
introduced(tautology,[refl,[$fot(complement(composition(complement(composition(converse(X_318),composition(top,top))),top)))]]) ).
cnf(refute_0_1881,plain,
( complement(composition(complement(composition(converse(X_318),composition(top,top))),top)) != complement(composition(complement(composition(converse(X_318),composition(top,top))),top))
| composition(complement(composition(converse(X_318),composition(top,top))),top) != composition(complement(converse(composition(top,X_318))),top)
| complement(composition(complement(composition(converse(X_318),composition(top,top))),top)) = complement(composition(complement(converse(composition(top,X_318))),top)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(complement(composition(converse(X_318),composition(top,top))),top)),complement(composition(complement(composition(converse(X_318),composition(top,top))),top))) ),[1,0],$fot(composition(complement(converse(composition(top,X_318))),top))]]) ).
cnf(refute_0_1882,plain,
( composition(complement(composition(converse(X_318),composition(top,top))),top) != composition(complement(converse(composition(top,X_318))),top)
| complement(composition(complement(composition(converse(X_318),composition(top,top))),top)) = complement(composition(complement(converse(composition(top,X_318))),top)) ),
inference(resolve,[$cnf( $equal(complement(composition(complement(composition(converse(X_318),composition(top,top))),top)),complement(composition(complement(composition(converse(X_318),composition(top,top))),top))) )],[refute_0_1880,refute_0_1881]) ).
cnf(refute_0_1883,plain,
complement(composition(complement(composition(converse(X_318),composition(top,top))),top)) = complement(composition(complement(converse(composition(top,X_318))),top)),
inference(resolve,[$cnf( $equal(composition(complement(composition(converse(X_318),composition(top,top))),top),composition(complement(converse(composition(top,X_318))),top)) )],[refute_0_1879,refute_0_1882]) ).
cnf(refute_0_1884,plain,
meet(converse(composition(top,X_318)),complement(composition(complement(composition(converse(X_318),composition(top,top))),top))) = meet(converse(composition(top,X_318)),complement(composition(complement(composition(converse(X_318),composition(top,top))),top))),
introduced(tautology,[refl,[$fot(meet(converse(composition(top,X_318)),complement(composition(complement(composition(converse(X_318),composition(top,top))),top))))]]) ).
cnf(refute_0_1885,plain,
( complement(composition(complement(composition(converse(X_318),composition(top,top))),top)) != complement(composition(complement(converse(composition(top,X_318))),top))
| meet(converse(composition(top,X_318)),complement(composition(complement(composition(converse(X_318),composition(top,top))),top))) != meet(converse(composition(top,X_318)),complement(composition(complement(composition(converse(X_318),composition(top,top))),top)))
| meet(converse(composition(top,X_318)),complement(composition(complement(composition(converse(X_318),composition(top,top))),top))) = meet(converse(composition(top,X_318)),complement(composition(complement(converse(composition(top,X_318))),top))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(composition(top,X_318)),complement(composition(complement(composition(converse(X_318),composition(top,top))),top))),meet(converse(composition(top,X_318)),complement(composition(complement(composition(converse(X_318),composition(top,top))),top)))) ),[1,1],$fot(complement(composition(complement(converse(composition(top,X_318))),top)))]]) ).
cnf(refute_0_1886,plain,
( complement(composition(complement(composition(converse(X_318),composition(top,top))),top)) != complement(composition(complement(converse(composition(top,X_318))),top))
| meet(converse(composition(top,X_318)),complement(composition(complement(composition(converse(X_318),composition(top,top))),top))) = meet(converse(composition(top,X_318)),complement(composition(complement(converse(composition(top,X_318))),top))) ),
inference(resolve,[$cnf( $equal(meet(converse(composition(top,X_318)),complement(composition(complement(composition(converse(X_318),composition(top,top))),top))),meet(converse(composition(top,X_318)),complement(composition(complement(composition(converse(X_318),composition(top,top))),top)))) )],[refute_0_1884,refute_0_1885]) ).
cnf(refute_0_1887,plain,
meet(converse(composition(top,X_318)),complement(composition(complement(composition(converse(X_318),composition(top,top))),top))) = meet(converse(composition(top,X_318)),complement(composition(complement(converse(composition(top,X_318))),top))),
inference(resolve,[$cnf( $equal(complement(composition(complement(composition(converse(X_318),composition(top,top))),top)),complement(composition(complement(converse(composition(top,X_318))),top))) )],[refute_0_1883,refute_0_1886]) ).
cnf(refute_0_1888,plain,
( meet(converse(composition(top,X_318)),complement(composition(complement(composition(converse(X_318),composition(top,top))),top))) != meet(converse(composition(top,X_318)),complement(composition(complement(converse(composition(top,X_318))),top)))
| meet(converse(composition(top,X_318)),complement(composition(complement(converse(composition(top,X_318))),top))) != complement(composition(complement(converse(composition(top,X_318))),top))
| meet(converse(composition(top,X_318)),complement(composition(complement(composition(converse(X_318),composition(top,top))),top))) = complement(composition(complement(converse(composition(top,X_318))),top)) ),
inference(subst,[],[refute_0_41:[bind(X,$fot(meet(converse(composition(top,X_318)),complement(composition(complement(composition(converse(X_318),composition(top,top))),top))))),bind(Y,$fot(meet(converse(composition(top,X_318)),complement(composition(complement(converse(composition(top,X_318))),top))))),bind(Z,$fot(complement(composition(complement(converse(composition(top,X_318))),top))))]]) ).
cnf(refute_0_1889,plain,
( meet(converse(composition(top,X_318)),complement(composition(complement(converse(composition(top,X_318))),top))) != complement(composition(complement(converse(composition(top,X_318))),top))
| meet(converse(composition(top,X_318)),complement(composition(complement(composition(converse(X_318),composition(top,top))),top))) = complement(composition(complement(converse(composition(top,X_318))),top)) ),
inference(resolve,[$cnf( $equal(meet(converse(composition(top,X_318)),complement(composition(complement(composition(converse(X_318),composition(top,top))),top))),meet(converse(composition(top,X_318)),complement(composition(complement(converse(composition(top,X_318))),top)))) )],[refute_0_1887,refute_0_1888]) ).
cnf(refute_0_1890,plain,
meet(converse(composition(top,X_318)),complement(composition(complement(composition(converse(X_318),composition(top,top))),top))) = complement(composition(complement(converse(composition(top,X_318))),top)),
inference(resolve,[$cnf( $equal(meet(converse(composition(top,X_318)),complement(composition(complement(converse(composition(top,X_318))),top))),complement(composition(complement(converse(composition(top,X_318))),top))) )],[refute_0_1863,refute_0_1889]) ).
cnf(refute_0_1891,plain,
( meet(converse(composition(top,X_318)),complement(composition(complement(composition(converse(X_318),composition(top,top))),top))) != complement(composition(complement(converse(composition(top,X_318))),top))
| meet(converse(composition(top,X_318)),complement(composition(complement(composition(converse(X_318),composition(top,top))),top))) != converse(composition(top,X_318))
| complement(composition(complement(converse(composition(top,X_318))),top)) = converse(composition(top,X_318)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(composition(top,X_318)),complement(composition(complement(composition(converse(X_318),composition(top,top))),top))),converse(composition(top,X_318))) ),[0],$fot(complement(composition(complement(converse(composition(top,X_318))),top)))]]) ).
cnf(refute_0_1892,plain,
( meet(converse(composition(top,X_318)),complement(composition(complement(composition(converse(X_318),composition(top,top))),top))) != converse(composition(top,X_318))
| complement(composition(complement(converse(composition(top,X_318))),top)) = converse(composition(top,X_318)) ),
inference(resolve,[$cnf( $equal(meet(converse(composition(top,X_318)),complement(composition(complement(composition(converse(X_318),composition(top,top))),top))),complement(composition(complement(converse(composition(top,X_318))),top))) )],[refute_0_1890,refute_0_1891]) ).
cnf(refute_0_1893,plain,
complement(composition(complement(converse(composition(top,X_318))),top)) = converse(composition(top,X_318)),
inference(resolve,[$cnf( $equal(meet(converse(composition(top,X_318)),complement(composition(complement(composition(converse(X_318),composition(top,top))),top))),converse(composition(top,X_318))) )],[refute_0_1485,refute_0_1892]) ).
cnf(refute_0_1894,plain,
complement(composition(complement(converse(composition(top,complement(converse(composition(X_16,top)))))),top)) = converse(composition(top,complement(converse(composition(X_16,top))))),
inference(subst,[],[refute_0_1893:[bind(X_318,$fot(complement(converse(composition(X_16,top)))))]]) ).
cnf(refute_0_1895,plain,
join(complement(composition(top,X_148)),composition(converse(top),complement(composition(top,composition(top,X_148))))) = complement(composition(top,X_148)),
inference(subst,[],[refute_0_11:[bind(X0,$fot(top)),bind(X1,$fot(composition(top,X_148)))]]) ).
cnf(refute_0_1896,plain,
composition(top,composition(top,X_147)) = composition(composition(top,top),X_147),
inference(subst,[],[refute_0_13:[bind(X0,$fot(top)),bind(X1,$fot(top)),bind(X2,$fot(X_147))]]) ).
cnf(refute_0_1897,plain,
( composition(top,composition(top,X_147)) != composition(composition(top,top),X_147)
| composition(top,top) != top
| composition(top,composition(top,X_147)) = composition(top,X_147) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,composition(top,X_147)),composition(composition(top,top),X_147)) ),[1,0],$fot(top)]]) ).
cnf(refute_0_1898,plain,
( composition(top,composition(top,X_147)) != composition(composition(top,top),X_147)
| composition(top,composition(top,X_147)) = composition(top,X_147) ),
inference(resolve,[$cnf( $equal(composition(top,top),top) )],[refute_0_1331,refute_0_1897]) ).
cnf(refute_0_1899,plain,
composition(top,composition(top,X_147)) = composition(top,X_147),
inference(resolve,[$cnf( $equal(composition(top,composition(top,X_147)),composition(composition(top,top),X_147)) )],[refute_0_1896,refute_0_1898]) ).
cnf(refute_0_1900,plain,
composition(top,composition(top,X_148)) = composition(top,X_148),
inference(subst,[],[refute_0_1899:[bind(X_147,$fot(X_148))]]) ).
cnf(refute_0_1901,plain,
( composition(top,composition(top,X_148)) != composition(top,X_148)
| join(complement(composition(top,X_148)),composition(converse(top),complement(composition(top,composition(top,X_148))))) != complement(composition(top,X_148))
| join(complement(composition(top,X_148)),composition(converse(top),complement(composition(top,X_148)))) = complement(composition(top,X_148)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(composition(top,X_148)),composition(converse(top),complement(composition(top,composition(top,X_148))))),complement(composition(top,X_148))) ),[0,1,1,0],$fot(composition(top,X_148))]]) ).
cnf(refute_0_1902,plain,
( join(complement(composition(top,X_148)),composition(converse(top),complement(composition(top,composition(top,X_148))))) != complement(composition(top,X_148))
| join(complement(composition(top,X_148)),composition(converse(top),complement(composition(top,X_148)))) = complement(composition(top,X_148)) ),
inference(resolve,[$cnf( $equal(composition(top,composition(top,X_148)),composition(top,X_148)) )],[refute_0_1900,refute_0_1901]) ).
cnf(refute_0_1903,plain,
join(complement(composition(top,X_148)),composition(converse(top),complement(composition(top,X_148)))) = complement(composition(top,X_148)),
inference(resolve,[$cnf( $equal(join(complement(composition(top,X_148)),composition(converse(top),complement(composition(top,composition(top,X_148))))),complement(composition(top,X_148))) )],[refute_0_1895,refute_0_1902]) ).
cnf(refute_0_1904,plain,
( top != join(X_82,top)
| join(X_82,top) = top ),
inference(subst,[],[refute_0_5:[bind(X,$fot(top)),bind(Y,$fot(join(X_82,top)))]]) ).
cnf(refute_0_1905,plain,
join(X_82,top) = top,
inference(resolve,[$cnf( $equal(top,join(X_82,top)) )],[refute_0_1103,refute_0_1904]) ).
cnf(refute_0_1906,plain,
join(one,top) = top,
inference(subst,[],[refute_0_1905:[bind(X_82,$fot(one))]]) ).
cnf(refute_0_1907,plain,
converse(join(one,top)) = converse(join(one,top)),
introduced(tautology,[refl,[$fot(converse(join(one,top)))]]) ).
cnf(refute_0_1908,plain,
( converse(join(one,top)) != converse(join(one,top))
| join(one,top) != top
| converse(join(one,top)) = converse(top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,top)),converse(join(one,top))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_1909,plain,
( join(one,top) != top
| converse(join(one,top)) = converse(top) ),
inference(resolve,[$cnf( $equal(converse(join(one,top)),converse(join(one,top))) )],[refute_0_1907,refute_0_1908]) ).
cnf(refute_0_1910,plain,
converse(join(one,top)) = converse(top),
inference(resolve,[$cnf( $equal(join(one,top),top) )],[refute_0_1906,refute_0_1909]) ).
cnf(refute_0_1911,plain,
( converse(join(one,top)) != converse(top)
| converse(top) != top
| converse(join(one,top)) = top ),
inference(subst,[],[refute_0_41:[bind(X,$fot(converse(join(one,top)))),bind(Y,$fot(converse(top))),bind(Z,$fot(top))]]) ).
cnf(refute_0_1912,plain,
( converse(top) != top
| converse(join(one,top)) = top ),
inference(resolve,[$cnf( $equal(converse(join(one,top)),converse(top)) )],[refute_0_1910,refute_0_1911]) ).
cnf(refute_0_1913,plain,
converse(join(one,top)) = top,
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_1030,refute_0_1912]) ).
cnf(refute_0_1914,plain,
( converse(join(X_12,X_11)) != converse(join(X_11,X_12))
| converse(join(X_11,X_12)) = converse(join(X_12,X_11)) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(converse(join(X_12,X_11)))),bind(Y,$fot(converse(join(X_11,X_12))))]]) ).
cnf(refute_0_1915,plain,
converse(join(X_11,X_12)) = converse(join(X_12,X_11)),
inference(resolve,[$cnf( $equal(converse(join(X_12,X_11)),converse(join(X_11,X_12))) )],[refute_0_1514,refute_0_1914]) ).
cnf(refute_0_1916,plain,
converse(join(top,one)) = converse(join(one,top)),
inference(subst,[],[refute_0_1915:[bind(X_11,$fot(top)),bind(X_12,$fot(one))]]) ).
cnf(refute_0_1917,plain,
join(one,converse(top)) = converse(join(top,one)),
inference(subst,[],[refute_0_1157:[bind(X_11,$fot(top))]]) ).
cnf(refute_0_1918,plain,
( converse(join(top,one)) != converse(join(one,top))
| join(one,converse(top)) != converse(join(top,one))
| join(one,converse(top)) = converse(join(one,top)) ),
inference(subst,[],[refute_0_41:[bind(X,$fot(join(one,converse(top)))),bind(Y,$fot(converse(join(top,one)))),bind(Z,$fot(converse(join(one,top))))]]) ).
cnf(refute_0_1919,plain,
( converse(join(top,one)) != converse(join(one,top))
| join(one,converse(top)) = converse(join(one,top)) ),
inference(resolve,[$cnf( $equal(join(one,converse(top)),converse(join(top,one))) )],[refute_0_1917,refute_0_1918]) ).
cnf(refute_0_1920,plain,
join(one,converse(top)) = converse(join(one,top)),
inference(resolve,[$cnf( $equal(converse(join(top,one)),converse(join(one,top))) )],[refute_0_1916,refute_0_1919]) ).
cnf(refute_0_1921,plain,
( converse(join(one,top)) != top
| join(one,converse(top)) != converse(join(one,top))
| join(one,converse(top)) = top ),
inference(subst,[],[refute_0_41:[bind(X,$fot(join(one,converse(top)))),bind(Y,$fot(converse(join(one,top)))),bind(Z,$fot(top))]]) ).
cnf(refute_0_1922,plain,
( converse(join(one,top)) != top
| join(one,converse(top)) = top ),
inference(resolve,[$cnf( $equal(join(one,converse(top)),converse(join(one,top))) )],[refute_0_1920,refute_0_1921]) ).
cnf(refute_0_1923,plain,
join(one,converse(top)) = top,
inference(resolve,[$cnf( $equal(converse(join(one,top)),top) )],[refute_0_1913,refute_0_1922]) ).
cnf(refute_0_1924,plain,
composition(join(one,converse(top)),complement(composition(top,X_148))) = composition(join(one,converse(top)),complement(composition(top,X_148))),
introduced(tautology,[refl,[$fot(composition(join(one,converse(top)),complement(composition(top,X_148))))]]) ).
cnf(refute_0_1925,plain,
( composition(join(one,converse(top)),complement(composition(top,X_148))) != composition(join(one,converse(top)),complement(composition(top,X_148)))
| join(one,converse(top)) != top
| composition(join(one,converse(top)),complement(composition(top,X_148))) = composition(top,complement(composition(top,X_148))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,converse(top)),complement(composition(top,X_148))),composition(join(one,converse(top)),complement(composition(top,X_148)))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_1926,plain,
( join(one,converse(top)) != top
| composition(join(one,converse(top)),complement(composition(top,X_148))) = composition(top,complement(composition(top,X_148))) ),
inference(resolve,[$cnf( $equal(composition(join(one,converse(top)),complement(composition(top,X_148))),composition(join(one,converse(top)),complement(composition(top,X_148)))) )],[refute_0_1924,refute_0_1925]) ).
cnf(refute_0_1927,plain,
composition(join(one,converse(top)),complement(composition(top,X_148))) = composition(top,complement(composition(top,X_148))),
inference(resolve,[$cnf( $equal(join(one,converse(top)),top) )],[refute_0_1923,refute_0_1926]) ).
cnf(refute_0_1928,plain,
composition(join(X_105,one),X_106) = join(X_106,composition(X_105,X_106)),
inference(subst,[],[refute_0_1192:[bind(X_71,$fot(X_105)),bind(X_73,$fot(X_106))]]) ).
cnf(refute_0_1929,plain,
join(one,X_105) = join(X_105,one),
inference(subst,[],[refute_0_2:[bind(X0,$fot(one)),bind(X1,$fot(X_105))]]) ).
cnf(refute_0_1930,plain,
( join(one,X_105) != join(X_105,one)
| join(X_105,one) = join(one,X_105) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(join(one,X_105))),bind(Y,$fot(join(X_105,one)))]]) ).
cnf(refute_0_1931,plain,
join(X_105,one) = join(one,X_105),
inference(resolve,[$cnf( $equal(join(one,X_105),join(X_105,one)) )],[refute_0_1929,refute_0_1930]) ).
cnf(refute_0_1932,plain,
( composition(join(X_105,one),X_106) != join(X_106,composition(X_105,X_106))
| join(X_105,one) != join(one,X_105)
| composition(join(one,X_105),X_106) = join(X_106,composition(X_105,X_106)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X_105,one),X_106),join(X_106,composition(X_105,X_106))) ),[0,0],$fot(join(one,X_105))]]) ).
cnf(refute_0_1933,plain,
( composition(join(X_105,one),X_106) != join(X_106,composition(X_105,X_106))
| composition(join(one,X_105),X_106) = join(X_106,composition(X_105,X_106)) ),
inference(resolve,[$cnf( $equal(join(X_105,one),join(one,X_105)) )],[refute_0_1931,refute_0_1932]) ).
cnf(refute_0_1934,plain,
composition(join(one,X_105),X_106) = join(X_106,composition(X_105,X_106)),
inference(resolve,[$cnf( $equal(composition(join(X_105,one),X_106),join(X_106,composition(X_105,X_106))) )],[refute_0_1928,refute_0_1933]) ).
cnf(refute_0_1935,plain,
join(X_106,composition(X_105,X_106)) = composition(join(X_105,one),X_106),
inference(subst,[],[refute_0_1194:[bind(X_71,$fot(X_105)),bind(X_73,$fot(X_106))]]) ).
cnf(refute_0_1936,plain,
( composition(join(one,X_105),X_106) != join(X_106,composition(X_105,X_106))
| join(X_106,composition(X_105,X_106)) != composition(join(X_105,one),X_106)
| composition(join(one,X_105),X_106) = composition(join(X_105,one),X_106) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(one,X_105),X_106),composition(join(X_105,one),X_106)) ),[0],$fot(join(X_106,composition(X_105,X_106)))]]) ).
cnf(refute_0_1937,plain,
( composition(join(one,X_105),X_106) != join(X_106,composition(X_105,X_106))
| composition(join(one,X_105),X_106) = composition(join(X_105,one),X_106) ),
inference(resolve,[$cnf( $equal(join(X_106,composition(X_105,X_106)),composition(join(X_105,one),X_106)) )],[refute_0_1935,refute_0_1936]) ).
cnf(refute_0_1938,plain,
composition(join(one,X_105),X_106) = composition(join(X_105,one),X_106),
inference(resolve,[$cnf( $equal(composition(join(one,X_105),X_106),join(X_106,composition(X_105,X_106))) )],[refute_0_1934,refute_0_1937]) ).
cnf(refute_0_1939,plain,
( composition(join(one,X_105),X_106) != composition(join(X_105,one),X_106)
| composition(join(X_105,one),X_106) = composition(join(one,X_105),X_106) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(composition(join(one,X_105),X_106))),bind(Y,$fot(composition(join(X_105,one),X_106)))]]) ).
cnf(refute_0_1940,plain,
composition(join(X_105,one),X_106) = composition(join(one,X_105),X_106),
inference(resolve,[$cnf( $equal(composition(join(one,X_105),X_106),composition(join(X_105,one),X_106)) )],[refute_0_1938,refute_0_1939]) ).
cnf(refute_0_1941,plain,
composition(join(converse(top),one),complement(composition(top,X_148))) = composition(join(one,converse(top)),complement(composition(top,X_148))),
inference(subst,[],[refute_0_1940:[bind(X_105,$fot(converse(top))),bind(X_106,$fot(complement(composition(top,X_148))))]]) ).
cnf(refute_0_1942,plain,
join(complement(composition(top,X_148)),composition(converse(top),complement(composition(top,X_148)))) = composition(join(converse(top),one),complement(composition(top,X_148))),
inference(subst,[],[refute_0_1194:[bind(X_71,$fot(converse(top))),bind(X_73,$fot(complement(composition(top,X_148))))]]) ).
cnf(refute_0_1943,plain,
( composition(join(converse(top),one),complement(composition(top,X_148))) != composition(join(one,converse(top)),complement(composition(top,X_148)))
| join(complement(composition(top,X_148)),composition(converse(top),complement(composition(top,X_148)))) != composition(join(converse(top),one),complement(composition(top,X_148)))
| join(complement(composition(top,X_148)),composition(converse(top),complement(composition(top,X_148)))) = composition(join(one,converse(top)),complement(composition(top,X_148))) ),
inference(subst,[],[refute_0_41:[bind(X,$fot(join(complement(composition(top,X_148)),composition(converse(top),complement(composition(top,X_148)))))),bind(Y,$fot(composition(join(converse(top),one),complement(composition(top,X_148))))),bind(Z,$fot(composition(join(one,converse(top)),complement(composition(top,X_148)))))]]) ).
cnf(refute_0_1944,plain,
( composition(join(converse(top),one),complement(composition(top,X_148))) != composition(join(one,converse(top)),complement(composition(top,X_148)))
| join(complement(composition(top,X_148)),composition(converse(top),complement(composition(top,X_148)))) = composition(join(one,converse(top)),complement(composition(top,X_148))) ),
inference(resolve,[$cnf( $equal(join(complement(composition(top,X_148)),composition(converse(top),complement(composition(top,X_148)))),composition(join(converse(top),one),complement(composition(top,X_148)))) )],[refute_0_1942,refute_0_1943]) ).
cnf(refute_0_1945,plain,
join(complement(composition(top,X_148)),composition(converse(top),complement(composition(top,X_148)))) = composition(join(one,converse(top)),complement(composition(top,X_148))),
inference(resolve,[$cnf( $equal(composition(join(converse(top),one),complement(composition(top,X_148))),composition(join(one,converse(top)),complement(composition(top,X_148)))) )],[refute_0_1941,refute_0_1944]) ).
cnf(refute_0_1946,plain,
( composition(join(one,converse(top)),complement(composition(top,X_148))) != composition(top,complement(composition(top,X_148)))
| join(complement(composition(top,X_148)),composition(converse(top),complement(composition(top,X_148)))) != composition(join(one,converse(top)),complement(composition(top,X_148)))
| join(complement(composition(top,X_148)),composition(converse(top),complement(composition(top,X_148)))) = composition(top,complement(composition(top,X_148))) ),
inference(subst,[],[refute_0_41:[bind(X,$fot(join(complement(composition(top,X_148)),composition(converse(top),complement(composition(top,X_148)))))),bind(Y,$fot(composition(join(one,converse(top)),complement(composition(top,X_148))))),bind(Z,$fot(composition(top,complement(composition(top,X_148)))))]]) ).
cnf(refute_0_1947,plain,
( composition(join(one,converse(top)),complement(composition(top,X_148))) != composition(top,complement(composition(top,X_148)))
| join(complement(composition(top,X_148)),composition(converse(top),complement(composition(top,X_148)))) = composition(top,complement(composition(top,X_148))) ),
inference(resolve,[$cnf( $equal(join(complement(composition(top,X_148)),composition(converse(top),complement(composition(top,X_148)))),composition(join(one,converse(top)),complement(composition(top,X_148)))) )],[refute_0_1945,refute_0_1946]) ).
cnf(refute_0_1948,plain,
join(complement(composition(top,X_148)),composition(converse(top),complement(composition(top,X_148)))) = composition(top,complement(composition(top,X_148))),
inference(resolve,[$cnf( $equal(composition(join(one,converse(top)),complement(composition(top,X_148))),composition(top,complement(composition(top,X_148)))) )],[refute_0_1927,refute_0_1947]) ).
cnf(refute_0_1949,plain,
( join(complement(composition(top,X_148)),composition(converse(top),complement(composition(top,X_148)))) != complement(composition(top,X_148))
| join(complement(composition(top,X_148)),composition(converse(top),complement(composition(top,X_148)))) != composition(top,complement(composition(top,X_148)))
| composition(top,complement(composition(top,X_148))) = complement(composition(top,X_148)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(composition(top,X_148)),composition(converse(top),complement(composition(top,X_148)))),complement(composition(top,X_148))) ),[0],$fot(composition(top,complement(composition(top,X_148))))]]) ).
cnf(refute_0_1950,plain,
( join(complement(composition(top,X_148)),composition(converse(top),complement(composition(top,X_148)))) != complement(composition(top,X_148))
| composition(top,complement(composition(top,X_148))) = complement(composition(top,X_148)) ),
inference(resolve,[$cnf( $equal(join(complement(composition(top,X_148)),composition(converse(top),complement(composition(top,X_148)))),composition(top,complement(composition(top,X_148)))) )],[refute_0_1948,refute_0_1949]) ).
cnf(refute_0_1951,plain,
composition(top,complement(composition(top,X_148))) = complement(composition(top,X_148)),
inference(resolve,[$cnf( $equal(join(complement(composition(top,X_148)),composition(converse(top),complement(composition(top,X_148)))),complement(composition(top,X_148))) )],[refute_0_1903,refute_0_1950]) ).
cnf(refute_0_1952,plain,
composition(top,complement(composition(top,converse(X_16)))) = complement(composition(top,converse(X_16))),
inference(subst,[],[refute_0_1951:[bind(X_148,$fot(converse(X_16)))]]) ).
cnf(refute_0_1953,plain,
( composition(top,complement(composition(top,converse(X_16)))) != complement(composition(top,converse(X_16)))
| composition(top,converse(X_16)) != converse(composition(X_16,top))
| composition(top,complement(converse(composition(X_16,top)))) = complement(composition(top,converse(X_16))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,complement(composition(top,converse(X_16)))),complement(composition(top,converse(X_16)))) ),[0,1,0],$fot(converse(composition(X_16,top)))]]) ).
cnf(refute_0_1954,plain,
( composition(top,complement(composition(top,converse(X_16)))) != complement(composition(top,converse(X_16)))
| composition(top,complement(converse(composition(X_16,top)))) = complement(composition(top,converse(X_16))) ),
inference(resolve,[$cnf( $equal(composition(top,converse(X_16)),converse(composition(X_16,top))) )],[refute_0_1553,refute_0_1953]) ).
cnf(refute_0_1955,plain,
composition(top,complement(converse(composition(X_16,top)))) = complement(composition(top,converse(X_16))),
inference(resolve,[$cnf( $equal(composition(top,complement(composition(top,converse(X_16)))),complement(composition(top,converse(X_16)))) )],[refute_0_1952,refute_0_1954]) ).
cnf(refute_0_1956,plain,
complement(composition(top,converse(X_16))) = complement(composition(top,converse(X_16))),
introduced(tautology,[refl,[$fot(complement(composition(top,converse(X_16))))]]) ).
cnf(refute_0_1957,plain,
( complement(composition(top,converse(X_16))) != complement(composition(top,converse(X_16)))
| composition(top,converse(X_16)) != converse(composition(X_16,top))
| complement(composition(top,converse(X_16))) = complement(converse(composition(X_16,top))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(top,converse(X_16))),complement(composition(top,converse(X_16)))) ),[1,0],$fot(converse(composition(X_16,top)))]]) ).
cnf(refute_0_1958,plain,
( composition(top,converse(X_16)) != converse(composition(X_16,top))
| complement(composition(top,converse(X_16))) = complement(converse(composition(X_16,top))) ),
inference(resolve,[$cnf( $equal(complement(composition(top,converse(X_16))),complement(composition(top,converse(X_16)))) )],[refute_0_1956,refute_0_1957]) ).
cnf(refute_0_1959,plain,
complement(composition(top,converse(X_16))) = complement(converse(composition(X_16,top))),
inference(resolve,[$cnf( $equal(composition(top,converse(X_16)),converse(composition(X_16,top))) )],[refute_0_1553,refute_0_1958]) ).
cnf(refute_0_1960,plain,
( complement(composition(top,converse(X_16))) != complement(converse(composition(X_16,top)))
| composition(top,complement(converse(composition(X_16,top)))) != complement(composition(top,converse(X_16)))
| composition(top,complement(converse(composition(X_16,top)))) = complement(converse(composition(X_16,top))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,complement(converse(composition(X_16,top)))),complement(composition(top,converse(X_16)))) ),[1],$fot(complement(converse(composition(X_16,top))))]]) ).
cnf(refute_0_1961,plain,
( composition(top,complement(converse(composition(X_16,top)))) != complement(composition(top,converse(X_16)))
| composition(top,complement(converse(composition(X_16,top)))) = complement(converse(composition(X_16,top))) ),
inference(resolve,[$cnf( $equal(complement(composition(top,converse(X_16))),complement(converse(composition(X_16,top)))) )],[refute_0_1959,refute_0_1960]) ).
cnf(refute_0_1962,plain,
composition(top,complement(converse(composition(X_16,top)))) = complement(converse(composition(X_16,top))),
inference(resolve,[$cnf( $equal(composition(top,complement(converse(composition(X_16,top)))),complement(composition(top,converse(X_16)))) )],[refute_0_1955,refute_0_1961]) ).
cnf(refute_0_1963,plain,
( complement(composition(complement(converse(composition(top,complement(converse(composition(X_16,top)))))),top)) != converse(composition(top,complement(converse(composition(X_16,top)))))
| composition(top,complement(converse(composition(X_16,top)))) != complement(converse(composition(X_16,top)))
| complement(composition(complement(converse(complement(converse(composition(X_16,top))))),top)) = converse(composition(top,complement(converse(composition(X_16,top))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(complement(converse(composition(top,complement(converse(composition(X_16,top)))))),top)),converse(composition(top,complement(converse(composition(X_16,top)))))) ),[0,0,0,0,0],$fot(complement(converse(composition(X_16,top))))]]) ).
cnf(refute_0_1964,plain,
( complement(composition(complement(converse(composition(top,complement(converse(composition(X_16,top)))))),top)) != converse(composition(top,complement(converse(composition(X_16,top)))))
| complement(composition(complement(converse(complement(converse(composition(X_16,top))))),top)) = converse(composition(top,complement(converse(composition(X_16,top))))) ),
inference(resolve,[$cnf( $equal(composition(top,complement(converse(composition(X_16,top)))),complement(converse(composition(X_16,top)))) )],[refute_0_1962,refute_0_1963]) ).
cnf(refute_0_1965,plain,
complement(composition(complement(converse(complement(converse(composition(X_16,top))))),top)) = converse(composition(top,complement(converse(composition(X_16,top))))),
inference(resolve,[$cnf( $equal(complement(composition(complement(converse(composition(top,complement(converse(composition(X_16,top)))))),top)),converse(composition(top,complement(converse(composition(X_16,top)))))) )],[refute_0_1894,refute_0_1964]) ).
cnf(refute_0_1966,plain,
composition(X_16,composition(top,top)) = composition(X_16,composition(top,top)),
introduced(tautology,[refl,[$fot(composition(X_16,composition(top,top)))]]) ).
cnf(refute_0_1967,plain,
( composition(X_16,composition(top,top)) != composition(X_16,composition(top,top))
| composition(top,top) != top
| composition(X_16,composition(top,top)) = composition(X_16,top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(X_16,composition(top,top)),composition(X_16,composition(top,top))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_1968,plain,
( composition(top,top) != top
| composition(X_16,composition(top,top)) = composition(X_16,top) ),
inference(resolve,[$cnf( $equal(composition(X_16,composition(top,top)),composition(X_16,composition(top,top))) )],[refute_0_1966,refute_0_1967]) ).
cnf(refute_0_1969,plain,
composition(X_16,composition(top,top)) = composition(X_16,top),
inference(resolve,[$cnf( $equal(composition(top,top),top) )],[refute_0_1331,refute_0_1968]) ).
cnf(refute_0_1970,plain,
( composition(X0,composition(X1,X2)) != composition(composition(X0,X1),X2)
| composition(composition(X0,X1),X2) = composition(X0,composition(X1,X2)) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(composition(X0,composition(X1,X2)))),bind(Y,$fot(composition(composition(X0,X1),X2)))]]) ).
cnf(refute_0_1971,plain,
composition(composition(X0,X1),X2) = composition(X0,composition(X1,X2)),
inference(resolve,[$cnf( $equal(composition(X0,composition(X1,X2)),composition(composition(X0,X1),X2)) )],[refute_0_13,refute_0_1970]) ).
cnf(refute_0_1972,plain,
composition(composition(X_16,top),top) = composition(X_16,composition(top,top)),
inference(subst,[],[refute_0_1971:[bind(X0,$fot(X_16)),bind(X1,$fot(top)),bind(X2,$fot(top))]]) ).
cnf(refute_0_1973,plain,
( composition(X_16,composition(top,top)) != composition(X_16,top)
| composition(composition(X_16,top),top) != composition(X_16,composition(top,top))
| composition(composition(X_16,top),top) = composition(X_16,top) ),
inference(subst,[],[refute_0_41:[bind(X,$fot(composition(composition(X_16,top),top))),bind(Y,$fot(composition(X_16,composition(top,top)))),bind(Z,$fot(composition(X_16,top)))]]) ).
cnf(refute_0_1974,plain,
( composition(X_16,composition(top,top)) != composition(X_16,top)
| composition(composition(X_16,top),top) = composition(X_16,top) ),
inference(resolve,[$cnf( $equal(composition(composition(X_16,top),top),composition(X_16,composition(top,top))) )],[refute_0_1972,refute_0_1973]) ).
cnf(refute_0_1975,plain,
composition(composition(X_16,top),top) = composition(X_16,top),
inference(resolve,[$cnf( $equal(composition(X_16,composition(top,top)),composition(X_16,top)) )],[refute_0_1969,refute_0_1974]) ).
cnf(refute_0_1976,plain,
complement(complement(composition(X_16,top))) = composition(X_16,top),
inference(subst,[],[refute_0_447:[bind(X1,$fot(composition(X_16,top)))]]) ).
cnf(refute_0_1977,plain,
converse(converse(composition(X_16,top))) = composition(X_16,top),
inference(subst,[],[refute_0_308:[bind(X0,$fot(composition(X_16,top)))]]) ).
cnf(refute_0_1978,plain,
complement(converse(converse(composition(X_16,top)))) = complement(converse(converse(composition(X_16,top)))),
introduced(tautology,[refl,[$fot(complement(converse(converse(composition(X_16,top)))))]]) ).
cnf(refute_0_1979,plain,
( complement(converse(converse(composition(X_16,top)))) != complement(converse(converse(composition(X_16,top))))
| converse(converse(composition(X_16,top))) != composition(X_16,top)
| complement(converse(converse(composition(X_16,top)))) = complement(composition(X_16,top)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(converse(composition(X_16,top)))),complement(converse(converse(composition(X_16,top))))) ),[1,0],$fot(composition(X_16,top))]]) ).
cnf(refute_0_1980,plain,
( converse(converse(composition(X_16,top))) != composition(X_16,top)
| complement(converse(converse(composition(X_16,top)))) = complement(composition(X_16,top)) ),
inference(resolve,[$cnf( $equal(complement(converse(converse(composition(X_16,top)))),complement(converse(converse(composition(X_16,top))))) )],[refute_0_1978,refute_0_1979]) ).
cnf(refute_0_1981,plain,
complement(converse(converse(composition(X_16,top)))) = complement(composition(X_16,top)),
inference(resolve,[$cnf( $equal(converse(converse(composition(X_16,top))),composition(X_16,top)) )],[refute_0_1977,refute_0_1980]) ).
cnf(refute_0_1982,plain,
converse(converse(complement(converse(X_258)))) = complement(converse(X_258)),
inference(subst,[],[refute_0_308:[bind(X0,$fot(complement(converse(X_258))))]]) ).
cnf(refute_0_1983,plain,
converse(complement(converse(X_258))) = complement(X_258),
inference(subst,[],[refute_0_1834:[bind(X_110,$fot(X_258))]]) ).
cnf(refute_0_1984,plain,
( converse(complement(converse(X_258))) != complement(X_258)
| converse(converse(complement(converse(X_258)))) != complement(converse(X_258))
| converse(complement(X_258)) = complement(converse(X_258)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(complement(converse(X_258)))),complement(converse(X_258))) ),[0,0],$fot(complement(X_258))]]) ).
cnf(refute_0_1985,plain,
( converse(converse(complement(converse(X_258)))) != complement(converse(X_258))
| converse(complement(X_258)) = complement(converse(X_258)) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(X_258))),complement(X_258)) )],[refute_0_1983,refute_0_1984]) ).
cnf(refute_0_1986,plain,
converse(complement(X_258)) = complement(converse(X_258)),
inference(resolve,[$cnf( $equal(converse(converse(complement(converse(X_258)))),complement(converse(X_258))) )],[refute_0_1982,refute_0_1985]) ).
cnf(refute_0_1987,plain,
converse(complement(converse(composition(X_16,top)))) = complement(converse(converse(composition(X_16,top)))),
inference(subst,[],[refute_0_1986:[bind(X_258,$fot(converse(composition(X_16,top))))]]) ).
cnf(refute_0_1988,plain,
( complement(converse(converse(composition(X_16,top)))) != complement(composition(X_16,top))
| converse(complement(converse(composition(X_16,top)))) != complement(converse(converse(composition(X_16,top))))
| converse(complement(converse(composition(X_16,top)))) = complement(composition(X_16,top)) ),
inference(subst,[],[refute_0_41:[bind(X,$fot(converse(complement(converse(composition(X_16,top)))))),bind(Y,$fot(complement(converse(converse(composition(X_16,top)))))),bind(Z,$fot(complement(composition(X_16,top))))]]) ).
cnf(refute_0_1989,plain,
( complement(converse(converse(composition(X_16,top)))) != complement(composition(X_16,top))
| converse(complement(converse(composition(X_16,top)))) = complement(composition(X_16,top)) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(composition(X_16,top)))),complement(converse(converse(composition(X_16,top))))) )],[refute_0_1987,refute_0_1988]) ).
cnf(refute_0_1990,plain,
converse(complement(converse(composition(X_16,top)))) = complement(composition(X_16,top)),
inference(resolve,[$cnf( $equal(complement(converse(converse(composition(X_16,top)))),complement(composition(X_16,top))) )],[refute_0_1981,refute_0_1989]) ).
cnf(refute_0_1991,plain,
complement(converse(complement(converse(composition(X_16,top))))) = complement(converse(complement(converse(composition(X_16,top))))),
introduced(tautology,[refl,[$fot(complement(converse(complement(converse(composition(X_16,top))))))]]) ).
cnf(refute_0_1992,plain,
( complement(converse(complement(converse(composition(X_16,top))))) != complement(converse(complement(converse(composition(X_16,top)))))
| converse(complement(converse(composition(X_16,top)))) != complement(composition(X_16,top))
| complement(converse(complement(converse(composition(X_16,top))))) = complement(complement(composition(X_16,top))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(complement(converse(composition(X_16,top))))),complement(converse(complement(converse(composition(X_16,top)))))) ),[1,0],$fot(complement(composition(X_16,top)))]]) ).
cnf(refute_0_1993,plain,
( converse(complement(converse(composition(X_16,top)))) != complement(composition(X_16,top))
| complement(converse(complement(converse(composition(X_16,top))))) = complement(complement(composition(X_16,top))) ),
inference(resolve,[$cnf( $equal(complement(converse(complement(converse(composition(X_16,top))))),complement(converse(complement(converse(composition(X_16,top)))))) )],[refute_0_1991,refute_0_1992]) ).
cnf(refute_0_1994,plain,
complement(converse(complement(converse(composition(X_16,top))))) = complement(complement(composition(X_16,top))),
inference(resolve,[$cnf( $equal(converse(complement(converse(composition(X_16,top)))),complement(composition(X_16,top))) )],[refute_0_1990,refute_0_1993]) ).
cnf(refute_0_1995,plain,
( complement(complement(composition(X_16,top))) != composition(X_16,top)
| complement(converse(complement(converse(composition(X_16,top))))) != complement(complement(composition(X_16,top)))
| complement(converse(complement(converse(composition(X_16,top))))) = composition(X_16,top) ),
inference(subst,[],[refute_0_41:[bind(X,$fot(complement(converse(complement(converse(composition(X_16,top))))))),bind(Y,$fot(complement(complement(composition(X_16,top))))),bind(Z,$fot(composition(X_16,top)))]]) ).
cnf(refute_0_1996,plain,
( complement(complement(composition(X_16,top))) != composition(X_16,top)
| complement(converse(complement(converse(composition(X_16,top))))) = composition(X_16,top) ),
inference(resolve,[$cnf( $equal(complement(converse(complement(converse(composition(X_16,top))))),complement(complement(composition(X_16,top)))) )],[refute_0_1994,refute_0_1995]) ).
cnf(refute_0_1997,plain,
complement(converse(complement(converse(composition(X_16,top))))) = composition(X_16,top),
inference(resolve,[$cnf( $equal(complement(complement(composition(X_16,top))),composition(X_16,top)) )],[refute_0_1976,refute_0_1996]) ).
cnf(refute_0_1998,plain,
composition(complement(converse(complement(converse(composition(X_16,top))))),top) = composition(complement(converse(complement(converse(composition(X_16,top))))),top),
introduced(tautology,[refl,[$fot(composition(complement(converse(complement(converse(composition(X_16,top))))),top))]]) ).
cnf(refute_0_1999,plain,
( complement(converse(complement(converse(composition(X_16,top))))) != composition(X_16,top)
| composition(complement(converse(complement(converse(composition(X_16,top))))),top) != composition(complement(converse(complement(converse(composition(X_16,top))))),top)
| composition(complement(converse(complement(converse(composition(X_16,top))))),top) = composition(composition(X_16,top),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(converse(complement(converse(composition(X_16,top))))),top),composition(complement(converse(complement(converse(composition(X_16,top))))),top)) ),[1,0],$fot(composition(X_16,top))]]) ).
cnf(refute_0_2000,plain,
( complement(converse(complement(converse(composition(X_16,top))))) != composition(X_16,top)
| composition(complement(converse(complement(converse(composition(X_16,top))))),top) = composition(composition(X_16,top),top) ),
inference(resolve,[$cnf( $equal(composition(complement(converse(complement(converse(composition(X_16,top))))),top),composition(complement(converse(complement(converse(composition(X_16,top))))),top)) )],[refute_0_1998,refute_0_1999]) ).
cnf(refute_0_2001,plain,
composition(complement(converse(complement(converse(composition(X_16,top))))),top) = composition(composition(X_16,top),top),
inference(resolve,[$cnf( $equal(complement(converse(complement(converse(composition(X_16,top))))),composition(X_16,top)) )],[refute_0_1997,refute_0_2000]) ).
cnf(refute_0_2002,plain,
( composition(complement(converse(complement(converse(composition(X_16,top))))),top) != composition(composition(X_16,top),top)
| composition(composition(X_16,top),top) != composition(X_16,top)
| composition(complement(converse(complement(converse(composition(X_16,top))))),top) = composition(X_16,top) ),
inference(subst,[],[refute_0_41:[bind(X,$fot(composition(complement(converse(complement(converse(composition(X_16,top))))),top))),bind(Y,$fot(composition(composition(X_16,top),top))),bind(Z,$fot(composition(X_16,top)))]]) ).
cnf(refute_0_2003,plain,
( composition(composition(X_16,top),top) != composition(X_16,top)
| composition(complement(converse(complement(converse(composition(X_16,top))))),top) = composition(X_16,top) ),
inference(resolve,[$cnf( $equal(composition(complement(converse(complement(converse(composition(X_16,top))))),top),composition(composition(X_16,top),top)) )],[refute_0_2001,refute_0_2002]) ).
cnf(refute_0_2004,plain,
composition(complement(converse(complement(converse(composition(X_16,top))))),top) = composition(X_16,top),
inference(resolve,[$cnf( $equal(composition(composition(X_16,top),top),composition(X_16,top)) )],[refute_0_1975,refute_0_2003]) ).
cnf(refute_0_2005,plain,
complement(composition(complement(converse(complement(converse(composition(X_16,top))))),top)) = complement(composition(complement(converse(complement(converse(composition(X_16,top))))),top)),
introduced(tautology,[refl,[$fot(complement(composition(complement(converse(complement(converse(composition(X_16,top))))),top)))]]) ).
cnf(refute_0_2006,plain,
( complement(composition(complement(converse(complement(converse(composition(X_16,top))))),top)) != complement(composition(complement(converse(complement(converse(composition(X_16,top))))),top))
| composition(complement(converse(complement(converse(composition(X_16,top))))),top) != composition(X_16,top)
| complement(composition(complement(converse(complement(converse(composition(X_16,top))))),top)) = complement(composition(X_16,top)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(complement(converse(complement(converse(composition(X_16,top))))),top)),complement(composition(complement(converse(complement(converse(composition(X_16,top))))),top))) ),[1,0],$fot(composition(X_16,top))]]) ).
cnf(refute_0_2007,plain,
( composition(complement(converse(complement(converse(composition(X_16,top))))),top) != composition(X_16,top)
| complement(composition(complement(converse(complement(converse(composition(X_16,top))))),top)) = complement(composition(X_16,top)) ),
inference(resolve,[$cnf( $equal(complement(composition(complement(converse(complement(converse(composition(X_16,top))))),top)),complement(composition(complement(converse(complement(converse(composition(X_16,top))))),top))) )],[refute_0_2005,refute_0_2006]) ).
cnf(refute_0_2008,plain,
complement(composition(complement(converse(complement(converse(composition(X_16,top))))),top)) = complement(composition(X_16,top)),
inference(resolve,[$cnf( $equal(composition(complement(converse(complement(converse(composition(X_16,top))))),top),composition(X_16,top)) )],[refute_0_2004,refute_0_2007]) ).
cnf(refute_0_2009,plain,
( complement(composition(complement(converse(complement(converse(composition(X_16,top))))),top)) != complement(composition(X_16,top))
| complement(composition(complement(converse(complement(converse(composition(X_16,top))))),top)) != converse(composition(top,complement(converse(composition(X_16,top)))))
| complement(composition(X_16,top)) = converse(composition(top,complement(converse(composition(X_16,top))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(complement(converse(complement(converse(composition(X_16,top))))),top)),converse(composition(top,complement(converse(composition(X_16,top)))))) ),[0],$fot(complement(composition(X_16,top)))]]) ).
cnf(refute_0_2010,plain,
( complement(composition(complement(converse(complement(converse(composition(X_16,top))))),top)) != converse(composition(top,complement(converse(composition(X_16,top)))))
| complement(composition(X_16,top)) = converse(composition(top,complement(converse(composition(X_16,top))))) ),
inference(resolve,[$cnf( $equal(complement(composition(complement(converse(complement(converse(composition(X_16,top))))),top)),complement(composition(X_16,top))) )],[refute_0_2008,refute_0_2009]) ).
cnf(refute_0_2011,plain,
composition(complement(composition(X_16,top)),converse(top)) = composition(complement(composition(X_16,top)),converse(top)),
introduced(tautology,[refl,[$fot(composition(complement(composition(X_16,top)),converse(top)))]]) ).
cnf(refute_0_2012,plain,
( composition(complement(composition(X_16,top)),converse(top)) != composition(complement(composition(X_16,top)),converse(top))
| converse(top) != top
| composition(complement(composition(X_16,top)),converse(top)) = composition(complement(composition(X_16,top)),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(composition(X_16,top)),converse(top)),composition(complement(composition(X_16,top)),converse(top))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_2013,plain,
( converse(top) != top
| composition(complement(composition(X_16,top)),converse(top)) = composition(complement(composition(X_16,top)),top) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(X_16,top)),converse(top)),composition(complement(composition(X_16,top)),converse(top))) )],[refute_0_2011,refute_0_2012]) ).
cnf(refute_0_2014,plain,
composition(complement(composition(X_16,top)),converse(top)) = composition(complement(composition(X_16,top)),top),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_1030,refute_0_2013]) ).
cnf(refute_0_2015,plain,
converse(composition(X0,complement(converse(X_258)))) = composition(converse(complement(converse(X_258))),converse(X0)),
inference(subst,[],[refute_0_15:[bind(X1,$fot(complement(converse(X_258))))]]) ).
cnf(refute_0_2016,plain,
( converse(complement(converse(X_258))) != complement(X_258)
| converse(composition(X0,complement(converse(X_258)))) != composition(converse(complement(converse(X_258))),converse(X0))
| converse(composition(X0,complement(converse(X_258)))) = composition(complement(X_258),converse(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(X0,complement(converse(X_258)))),composition(converse(complement(converse(X_258))),converse(X0))) ),[1,0],$fot(complement(X_258))]]) ).
cnf(refute_0_2017,plain,
( converse(composition(X0,complement(converse(X_258)))) != composition(converse(complement(converse(X_258))),converse(X0))
| converse(composition(X0,complement(converse(X_258)))) = composition(complement(X_258),converse(X0)) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(X_258))),complement(X_258)) )],[refute_0_1983,refute_0_2016]) ).
cnf(refute_0_2018,plain,
converse(composition(X0,complement(converse(X_258)))) = composition(complement(X_258),converse(X0)),
inference(resolve,[$cnf( $equal(converse(composition(X0,complement(converse(X_258)))),composition(converse(complement(converse(X_258))),converse(X0))) )],[refute_0_2015,refute_0_2017]) ).
cnf(refute_0_2019,plain,
converse(composition(top,complement(converse(composition(X_16,top))))) = composition(complement(composition(X_16,top)),converse(top)),
inference(subst,[],[refute_0_2018:[bind(X0,$fot(top)),bind(X_258,$fot(composition(X_16,top)))]]) ).
cnf(refute_0_2020,plain,
( composition(complement(composition(X_16,top)),converse(top)) != composition(complement(composition(X_16,top)),top)
| converse(composition(top,complement(converse(composition(X_16,top))))) != composition(complement(composition(X_16,top)),converse(top))
| converse(composition(top,complement(converse(composition(X_16,top))))) = composition(complement(composition(X_16,top)),top) ),
inference(subst,[],[refute_0_41:[bind(X,$fot(converse(composition(top,complement(converse(composition(X_16,top))))))),bind(Y,$fot(composition(complement(composition(X_16,top)),converse(top)))),bind(Z,$fot(composition(complement(composition(X_16,top)),top)))]]) ).
cnf(refute_0_2021,plain,
( composition(complement(composition(X_16,top)),converse(top)) != composition(complement(composition(X_16,top)),top)
| converse(composition(top,complement(converse(composition(X_16,top))))) = composition(complement(composition(X_16,top)),top) ),
inference(resolve,[$cnf( $equal(converse(composition(top,complement(converse(composition(X_16,top))))),composition(complement(composition(X_16,top)),converse(top))) )],[refute_0_2019,refute_0_2020]) ).
cnf(refute_0_2022,plain,
converse(composition(top,complement(converse(composition(X_16,top))))) = composition(complement(composition(X_16,top)),top),
inference(resolve,[$cnf( $equal(composition(complement(composition(X_16,top)),converse(top)),composition(complement(composition(X_16,top)),top)) )],[refute_0_2014,refute_0_2021]) ).
cnf(refute_0_2023,plain,
( complement(composition(X_16,top)) != converse(composition(top,complement(converse(composition(X_16,top)))))
| converse(composition(top,complement(converse(composition(X_16,top))))) != composition(complement(composition(X_16,top)),top)
| complement(composition(X_16,top)) = composition(complement(composition(X_16,top)),top) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(composition(X_16,top)),composition(complement(composition(X_16,top)),top)) ),[0],$fot(converse(composition(top,complement(converse(composition(X_16,top))))))]]) ).
cnf(refute_0_2024,plain,
( complement(composition(X_16,top)) != converse(composition(top,complement(converse(composition(X_16,top)))))
| complement(composition(X_16,top)) = composition(complement(composition(X_16,top)),top) ),
inference(resolve,[$cnf( $equal(converse(composition(top,complement(converse(composition(X_16,top))))),composition(complement(composition(X_16,top)),top)) )],[refute_0_2022,refute_0_2023]) ).
cnf(refute_0_2025,plain,
( complement(composition(complement(converse(complement(converse(composition(X_16,top))))),top)) != converse(composition(top,complement(converse(composition(X_16,top)))))
| complement(composition(X_16,top)) = composition(complement(composition(X_16,top)),top) ),
inference(resolve,[$cnf( $equal(complement(composition(X_16,top)),converse(composition(top,complement(converse(composition(X_16,top)))))) )],[refute_0_2010,refute_0_2024]) ).
cnf(refute_0_2026,plain,
complement(composition(X_16,top)) = composition(complement(composition(X_16,top)),top),
inference(resolve,[$cnf( $equal(complement(composition(complement(converse(complement(converse(composition(X_16,top))))),top)),converse(composition(top,complement(converse(composition(X_16,top)))))) )],[refute_0_1965,refute_0_2025]) ).
cnf(refute_0_2027,plain,
( complement(composition(X_16,top)) != composition(complement(composition(X_16,top)),top)
| composition(complement(composition(X_16,top)),top) = complement(composition(X_16,top)) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(complement(composition(X_16,top)))),bind(Y,$fot(composition(complement(composition(X_16,top)),top)))]]) ).
cnf(refute_0_2028,plain,
composition(complement(composition(X_16,top)),top) = complement(composition(X_16,top)),
inference(resolve,[$cnf( $equal(complement(composition(X_16,top)),composition(complement(composition(X_16,top)),top)) )],[refute_0_2026,refute_0_2027]) ).
cnf(refute_0_2029,plain,
composition(complement(composition(skolemFOFtoCNF_X0,top)),top) = complement(composition(skolemFOFtoCNF_X0,top)),
inference(subst,[],[refute_0_2028:[bind(X_16,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_2030,plain,
( complement(composition(skolemFOFtoCNF_X0,top)) != complement(composition(skolemFOFtoCNF_X0,top))
| composition(complement(composition(skolemFOFtoCNF_X0,top)),top) != complement(composition(skolemFOFtoCNF_X0,top))
| complement(composition(skolemFOFtoCNF_X0,top)) = composition(complement(composition(skolemFOFtoCNF_X0,top)),top) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(composition(skolemFOFtoCNF_X0,top)),composition(complement(composition(skolemFOFtoCNF_X0,top)),top)) ),[1],$fot(complement(composition(skolemFOFtoCNF_X0,top)))]]) ).
cnf(refute_0_2031,plain,
( complement(composition(skolemFOFtoCNF_X0,top)) != complement(composition(skolemFOFtoCNF_X0,top))
| complement(composition(skolemFOFtoCNF_X0,top)) = composition(complement(composition(skolemFOFtoCNF_X0,top)),top) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(skolemFOFtoCNF_X0,top)),top),complement(composition(skolemFOFtoCNF_X0,top))) )],[refute_0_2029,refute_0_2030]) ).
cnf(refute_0_2032,plain,
complement(composition(skolemFOFtoCNF_X0,top)) != complement(composition(skolemFOFtoCNF_X0,top)),
inference(resolve,[$cnf( $equal(complement(composition(skolemFOFtoCNF_X0,top)),composition(complement(composition(skolemFOFtoCNF_X0,top)),top)) )],[refute_0_2031,refute_0_1385]) ).
cnf(refute_0_2033,plain,
complement(composition(skolemFOFtoCNF_X0,top)) = complement(composition(skolemFOFtoCNF_X0,top)),
introduced(tautology,[refl,[$fot(complement(composition(skolemFOFtoCNF_X0,top)))]]) ).
cnf(refute_0_2034,plain,
$false,
inference(resolve,[$cnf( $equal(complement(composition(skolemFOFtoCNF_X0,top)),complement(composition(skolemFOFtoCNF_X0,top))) )],[refute_0_2033,refute_0_2032]) ).
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(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]) ).
fof(normalize_1_3,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_4,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(canonicalize,[],[maddux1_join_commutativity]) ).
fof(normalize_1_5,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(specialize,[],[normalize_1_4]) ).
fof(normalize_1_6,plain,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
inference(canonicalize,[],[converse_cancellativity]) ).
fof(normalize_1_7,plain,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
inference(specialize,[],[normalize_1_6]) ).
fof(normalize_1_8,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(canonicalize,[],[converse_multiplicativity]) ).
fof(normalize_1_9,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(specialize,[],[normalize_1_8]) ).
fof(normalize_1_10,plain,
! [X0] : converse(converse(X0)) = X0,
inference(canonicalize,[],[converse_idempotence]) ).
fof(normalize_1_11,plain,
! [X0] : converse(converse(X0)) = X0,
inference(specialize,[],[normalize_1_10]) ).
fof(normalize_1_12,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(canonicalize,[],[def_zero]) ).
fof(normalize_1_13,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(specialize,[],[normalize_1_12]) ).
fof(normalize_1_14,plain,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
inference(canonicalize,[],[maddux4_definiton_of_meet]) ).
fof(normalize_1_15,plain,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
inference(specialize,[],[normalize_1_14]) ).
fof(normalize_1_16,plain,
! [X0] : top = join(X0,complement(X0)),
inference(canonicalize,[],[def_top]) ).
fof(normalize_1_17,plain,
! [X0] : top = join(X0,complement(X0)),
inference(specialize,[],[normalize_1_16]) ).
fof(normalize_1_18,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_19,plain,
! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
inference(specialize,[],[normalize_1_18]) ).
fof(normalize_1_20,plain,
! [X0] : composition(X0,one) = X0,
inference(canonicalize,[],[composition_identity]) ).
fof(normalize_1_21,plain,
! [X0] : composition(X0,one) = X0,
inference(specialize,[],[normalize_1_20]) ).
fof(normalize_1_22,plain,
! [X0,X1,X2] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
inference(canonicalize,[],[composition_associativity]) ).
fof(normalize_1_23,plain,
! [X0,X1,X2] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
inference(specialize,[],[normalize_1_22]) ).
fof(normalize_1_24,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(canonicalize,[],[maddux2_join_associativity]) ).
fof(normalize_1_25,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(specialize,[],[normalize_1_24]) ).
fof(normalize_1_26,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(canonicalize,[],[converse_additivity]) ).
fof(normalize_1_27,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(specialize,[],[normalize_1_26]) ).
fof(normalize_1_28,plain,
! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(canonicalize,[],[composition_distributivity]) ).
fof(normalize_1_29,plain,
! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(specialize,[],[normalize_1_28]) ).
cnf(refute_1_0,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_2]) ).
cnf(refute_1_1,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_3]) ).
cnf(refute_1_2,plain,
join(X0,X1) = join(X1,X0),
inference(canonicalize,[],[normalize_1_5]) ).
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( $equal(join(X0,X1),join(X1,X0)) )],[refute_1_2,refute_1_6]) ).
cnf(refute_1_8,plain,
join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),complement(composition(skolemFOFtoCNF_X0_1,top))) = join(complement(composition(skolemFOFtoCNF_X0_1,top)),composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top)),
inference(subst,[],[refute_1_7:[bind(X0,$fot(complement(composition(skolemFOFtoCNF_X0_1,top)))),bind(X1,$fot(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top)))]]) ).
cnf(refute_1_9,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_1_10,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_1_5,refute_1_9]) ).
cnf(refute_1_11,plain,
( join(complement(composition(skolemFOFtoCNF_X0_1,top)),composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top)) != composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top)
| join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),complement(composition(skolemFOFtoCNF_X0_1,top))) != join(complement(composition(skolemFOFtoCNF_X0_1,top)),composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top))
| join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),complement(composition(skolemFOFtoCNF_X0_1,top))) = composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top) ),
inference(subst,[],[refute_1_10:[bind(X,$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_12,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( $equal(join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),complement(composition(skolemFOFtoCNF_X0_1,top))),join(complement(composition(skolemFOFtoCNF_X0_1,top)),composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top))) )],[refute_1_8,refute_1_11]) ).
cnf(refute_1_13,plain,
join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),complement(composition(skolemFOFtoCNF_X0_1,top))) = composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),
inference(resolve,[$cnf( $equal(join(complement(composition(skolemFOFtoCNF_X0_1,top)),composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top)),composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top)) )],[refute_1_1,refute_1_12]) ).
cnf(refute_1_14,plain,
( composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top) != complement(composition(skolemFOFtoCNF_X0_1,top))
| join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),complement(composition(skolemFOFtoCNF_X0_1,top))) != composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top)
| join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),complement(composition(skolemFOFtoCNF_X0_1,top))) = complement(composition(skolemFOFtoCNF_X0_1,top)) ),
introduced(tautology,[equality,[$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_15,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( $equal(join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),complement(composition(skolemFOFtoCNF_X0_1,top))),composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top)) )],[refute_1_13,refute_1_14]) ).
cnf(refute_1_16,plain,
composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top) != complement(composition(skolemFOFtoCNF_X0_1,top)),
inference(resolve,[$cnf( $equal(join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),complement(composition(skolemFOFtoCNF_X0_1,top))),complement(composition(skolemFOFtoCNF_X0_1,top))) )],[refute_1_15,refute_1_0]) ).
cnf(refute_1_17,plain,
join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
inference(canonicalize,[],[normalize_1_7]) ).
cnf(refute_1_18,plain,
join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))),
inference(subst,[],[refute_1_7:[bind(X0,$fot(complement(X1))),bind(X1,$fot(composition(converse(X0),complement(composition(X0,X1)))))]]) ).
cnf(refute_1_19,plain,
( join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) != complement(X1)
| join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) != join(complement(X1),composition(converse(X0),complement(composition(X0,X1))))
| join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))) = complement(X1) ),
introduced(tautology,[equality,[$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_20,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( $equal(join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),join(complement(X1),composition(converse(X0),complement(composition(X0,X1))))) )],[refute_1_18,refute_1_19]) ).
cnf(refute_1_21,plain,
join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))) = complement(X1),
inference(resolve,[$cnf( $equal(join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),complement(X1)) )],[refute_1_17,refute_1_20]) ).
cnf(refute_1_22,plain,
join(complement(converse(X_354)),composition(converse(converse(X_355)),complement(composition(converse(X_355),converse(X_354))))) = complement(converse(X_354)),
inference(subst,[],[refute_1_21:[bind(X0,$fot(converse(X_355))),bind(X1,$fot(converse(X_354)))]]) ).
cnf(refute_1_23,plain,
converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(canonicalize,[],[normalize_1_9]) ).
cnf(refute_1_24,plain,
converse(composition(X_354,X_355)) = composition(converse(X_355),converse(X_354)),
inference(subst,[],[refute_1_23:[bind(X0,$fot(X_354)),bind(X1,$fot(X_355))]]) ).
cnf(refute_1_25,plain,
( converse(composition(X_354,X_355)) != composition(converse(X_355),converse(X_354))
| composition(converse(X_355),converse(X_354)) = converse(composition(X_354,X_355)) ),
inference(subst,[],[refute_1_5:[bind(X,$fot(converse(composition(X_354,X_355)))),bind(Y,$fot(composition(converse(X_355),converse(X_354))))]]) ).
cnf(refute_1_26,plain,
composition(converse(X_355),converse(X_354)) = converse(composition(X_354,X_355)),
inference(resolve,[$cnf( $equal(converse(composition(X_354,X_355)),composition(converse(X_355),converse(X_354))) )],[refute_1_24,refute_1_25]) ).
cnf(refute_1_27,plain,
( composition(converse(X_355),converse(X_354)) != converse(composition(X_354,X_355))
| join(complement(converse(X_354)),composition(converse(converse(X_355)),complement(composition(converse(X_355),converse(X_354))))) != complement(converse(X_354))
| join(complement(converse(X_354)),composition(converse(converse(X_355)),complement(converse(composition(X_354,X_355))))) = complement(converse(X_354)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(X_354)),composition(converse(converse(X_355)),complement(composition(converse(X_355),converse(X_354))))),complement(converse(X_354))) ),[0,1,1,0],$fot(converse(composition(X_354,X_355)))]]) ).
cnf(refute_1_28,plain,
( join(complement(converse(X_354)),composition(converse(converse(X_355)),complement(composition(converse(X_355),converse(X_354))))) != complement(converse(X_354))
| join(complement(converse(X_354)),composition(converse(converse(X_355)),complement(converse(composition(X_354,X_355))))) = complement(converse(X_354)) ),
inference(resolve,[$cnf( $equal(composition(converse(X_355),converse(X_354)),converse(composition(X_354,X_355))) )],[refute_1_26,refute_1_27]) ).
cnf(refute_1_29,plain,
join(complement(converse(X_354)),composition(converse(converse(X_355)),complement(converse(composition(X_354,X_355))))) = complement(converse(X_354)),
inference(resolve,[$cnf( $equal(join(complement(converse(X_354)),composition(converse(converse(X_355)),complement(composition(converse(X_355),converse(X_354))))),complement(converse(X_354))) )],[refute_1_22,refute_1_28]) ).
cnf(refute_1_30,plain,
converse(converse(X0)) = X0,
inference(canonicalize,[],[normalize_1_11]) ).
cnf(refute_1_31,plain,
converse(converse(X_355)) = X_355,
inference(subst,[],[refute_1_30:[bind(X0,$fot(X_355))]]) ).
cnf(refute_1_32,plain,
composition(converse(converse(X_355)),complement(converse(composition(X_354,X_355)))) = composition(converse(converse(X_355)),complement(converse(composition(X_354,X_355)))),
introduced(tautology,[refl,[$fot(composition(converse(converse(X_355)),complement(converse(composition(X_354,X_355)))))]]) ).
cnf(refute_1_33,plain,
( composition(converse(converse(X_355)),complement(converse(composition(X_354,X_355)))) != composition(converse(converse(X_355)),complement(converse(composition(X_354,X_355))))
| converse(converse(X_355)) != X_355
| composition(converse(converse(X_355)),complement(converse(composition(X_354,X_355)))) = composition(X_355,complement(converse(composition(X_354,X_355)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(converse(X_355)),complement(converse(composition(X_354,X_355)))),composition(converse(converse(X_355)),complement(converse(composition(X_354,X_355))))) ),[1,0],$fot(X_355)]]) ).
cnf(refute_1_34,plain,
( converse(converse(X_355)) != X_355
| composition(converse(converse(X_355)),complement(converse(composition(X_354,X_355)))) = composition(X_355,complement(converse(composition(X_354,X_355)))) ),
inference(resolve,[$cnf( $equal(composition(converse(converse(X_355)),complement(converse(composition(X_354,X_355)))),composition(converse(converse(X_355)),complement(converse(composition(X_354,X_355))))) )],[refute_1_32,refute_1_33]) ).
cnf(refute_1_35,plain,
composition(converse(converse(X_355)),complement(converse(composition(X_354,X_355)))) = composition(X_355,complement(converse(composition(X_354,X_355)))),
inference(resolve,[$cnf( $equal(converse(converse(X_355)),X_355) )],[refute_1_31,refute_1_34]) ).
cnf(refute_1_36,plain,
join(complement(converse(X_354)),composition(converse(converse(X_355)),complement(converse(composition(X_354,X_355))))) = join(complement(converse(X_354)),composition(converse(converse(X_355)),complement(converse(composition(X_354,X_355))))),
introduced(tautology,[refl,[$fot(join(complement(converse(X_354)),composition(converse(converse(X_355)),complement(converse(composition(X_354,X_355))))))]]) ).
cnf(refute_1_37,plain,
( composition(converse(converse(X_355)),complement(converse(composition(X_354,X_355)))) != composition(X_355,complement(converse(composition(X_354,X_355))))
| join(complement(converse(X_354)),composition(converse(converse(X_355)),complement(converse(composition(X_354,X_355))))) != join(complement(converse(X_354)),composition(converse(converse(X_355)),complement(converse(composition(X_354,X_355)))))
| join(complement(converse(X_354)),composition(converse(converse(X_355)),complement(converse(composition(X_354,X_355))))) = join(complement(converse(X_354)),composition(X_355,complement(converse(composition(X_354,X_355))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(X_354)),composition(converse(converse(X_355)),complement(converse(composition(X_354,X_355))))),join(complement(converse(X_354)),composition(converse(converse(X_355)),complement(converse(composition(X_354,X_355)))))) ),[1,1],$fot(composition(X_355,complement(converse(composition(X_354,X_355)))))]]) ).
cnf(refute_1_38,plain,
( composition(converse(converse(X_355)),complement(converse(composition(X_354,X_355)))) != composition(X_355,complement(converse(composition(X_354,X_355))))
| join(complement(converse(X_354)),composition(converse(converse(X_355)),complement(converse(composition(X_354,X_355))))) = join(complement(converse(X_354)),composition(X_355,complement(converse(composition(X_354,X_355))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(X_354)),composition(converse(converse(X_355)),complement(converse(composition(X_354,X_355))))),join(complement(converse(X_354)),composition(converse(converse(X_355)),complement(converse(composition(X_354,X_355)))))) )],[refute_1_36,refute_1_37]) ).
cnf(refute_1_39,plain,
join(complement(converse(X_354)),composition(converse(converse(X_355)),complement(converse(composition(X_354,X_355))))) = join(complement(converse(X_354)),composition(X_355,complement(converse(composition(X_354,X_355))))),
inference(resolve,[$cnf( $equal(composition(converse(converse(X_355)),complement(converse(composition(X_354,X_355)))),composition(X_355,complement(converse(composition(X_354,X_355))))) )],[refute_1_35,refute_1_38]) ).
cnf(refute_1_40,plain,
( join(complement(converse(X_354)),composition(converse(converse(X_355)),complement(converse(composition(X_354,X_355))))) != complement(converse(X_354))
| join(complement(converse(X_354)),composition(converse(converse(X_355)),complement(converse(composition(X_354,X_355))))) != join(complement(converse(X_354)),composition(X_355,complement(converse(composition(X_354,X_355)))))
| join(complement(converse(X_354)),composition(X_355,complement(converse(composition(X_354,X_355))))) = complement(converse(X_354)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(X_354)),composition(converse(converse(X_355)),complement(converse(composition(X_354,X_355))))),complement(converse(X_354))) ),[0],$fot(join(complement(converse(X_354)),composition(X_355,complement(converse(composition(X_354,X_355))))))]]) ).
cnf(refute_1_41,plain,
( join(complement(converse(X_354)),composition(converse(converse(X_355)),complement(converse(composition(X_354,X_355))))) != complement(converse(X_354))
| join(complement(converse(X_354)),composition(X_355,complement(converse(composition(X_354,X_355))))) = complement(converse(X_354)) ),
inference(resolve,[$cnf( $equal(join(complement(converse(X_354)),composition(converse(converse(X_355)),complement(converse(composition(X_354,X_355))))),join(complement(converse(X_354)),composition(X_355,complement(converse(composition(X_354,X_355)))))) )],[refute_1_39,refute_1_40]) ).
cnf(refute_1_42,plain,
join(complement(converse(X_354)),composition(X_355,complement(converse(composition(X_354,X_355))))) = complement(converse(X_354)),
inference(resolve,[$cnf( $equal(join(complement(converse(X_354)),composition(converse(converse(X_355)),complement(converse(composition(X_354,X_355))))),complement(converse(X_354))) )],[refute_1_29,refute_1_41]) ).
cnf(refute_1_43,plain,
join(complement(converse(converse(X_416))),composition(complement(composition(X_416,top)),complement(converse(composition(converse(X_416),complement(composition(X_416,top))))))) = complement(converse(converse(X_416))),
inference(subst,[],[refute_1_42:[bind(X_354,$fot(converse(X_416))),bind(X_355,$fot(complement(composition(X_416,top))))]]) ).
cnf(refute_1_44,plain,
join(complement(top),composition(converse(X0),complement(composition(X0,top)))) = complement(top),
inference(subst,[],[refute_1_21:[bind(X1,$fot(top))]]) ).
cnf(refute_1_45,plain,
zero = meet(X0,complement(X0)),
inference(canonicalize,[],[normalize_1_13]) ).
cnf(refute_1_46,plain,
zero = meet(join(complement(X_348),complement(X_349)),complement(join(complement(X_348),complement(X_349)))),
inference(subst,[],[refute_1_45:[bind(X0,$fot(join(complement(X_348),complement(X_349))))]]) ).
cnf(refute_1_47,plain,
meet(X0,X1) = complement(join(complement(X0),complement(X1))),
inference(canonicalize,[],[normalize_1_15]) ).
cnf(refute_1_48,plain,
meet(X_348,X_349) = complement(join(complement(X_348),complement(X_349))),
inference(subst,[],[refute_1_47:[bind(X0,$fot(X_348)),bind(X1,$fot(X_349))]]) ).
cnf(refute_1_49,plain,
( meet(X_348,X_349) != complement(join(complement(X_348),complement(X_349)))
| complement(join(complement(X_348),complement(X_349))) = meet(X_348,X_349) ),
inference(subst,[],[refute_1_5:[bind(X,$fot(meet(X_348,X_349))),bind(Y,$fot(complement(join(complement(X_348),complement(X_349)))))]]) ).
cnf(refute_1_50,plain,
complement(join(complement(X_348),complement(X_349))) = meet(X_348,X_349),
inference(resolve,[$cnf( $equal(meet(X_348,X_349),complement(join(complement(X_348),complement(X_349)))) )],[refute_1_48,refute_1_49]) ).
cnf(refute_1_51,plain,
( complement(join(complement(X_348),complement(X_349))) != meet(X_348,X_349)
| zero != meet(join(complement(X_348),complement(X_349)),complement(join(complement(X_348),complement(X_349))))
| zero = meet(join(complement(X_348),complement(X_349)),meet(X_348,X_349)) ),
introduced(tautology,[equality,[$cnf( $equal(zero,meet(join(complement(X_348),complement(X_349)),complement(join(complement(X_348),complement(X_349))))) ),[1,1],$fot(meet(X_348,X_349))]]) ).
cnf(refute_1_52,plain,
( zero != meet(join(complement(X_348),complement(X_349)),complement(join(complement(X_348),complement(X_349))))
| zero = meet(join(complement(X_348),complement(X_349)),meet(X_348,X_349)) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_348),complement(X_349))),meet(X_348,X_349)) )],[refute_1_50,refute_1_51]) ).
cnf(refute_1_53,plain,
zero = meet(join(complement(X_348),complement(X_349)),meet(X_348,X_349)),
inference(resolve,[$cnf( $equal(zero,meet(join(complement(X_348),complement(X_349)),complement(join(complement(X_348),complement(X_349))))) )],[refute_1_46,refute_1_52]) ).
cnf(refute_1_54,plain,
top = join(X0,complement(X0)),
inference(canonicalize,[],[normalize_1_17]) ).
cnf(refute_1_55,plain,
( top != join(X0,complement(X0))
| join(X0,complement(X0)) = top ),
inference(subst,[],[refute_1_5:[bind(X,$fot(top)),bind(Y,$fot(join(X0,complement(X0))))]]) ).
cnf(refute_1_56,plain,
join(X0,complement(X0)) = top,
inference(resolve,[$cnf( $equal(top,join(X0,complement(X0))) )],[refute_1_54,refute_1_55]) ).
cnf(refute_1_57,plain,
join(meet(X_348,X_349),complement(meet(X_348,X_349))) = top,
inference(subst,[],[refute_1_56:[bind(X0,$fot(meet(X_348,X_349)))]]) ).
cnf(refute_1_58,plain,
complement(join(meet(X_348,X_349),complement(meet(X_348,X_349)))) = complement(join(meet(X_348,X_349),complement(meet(X_348,X_349)))),
introduced(tautology,[refl,[$fot(complement(join(meet(X_348,X_349),complement(meet(X_348,X_349)))))]]) ).
cnf(refute_1_59,plain,
( complement(join(meet(X_348,X_349),complement(meet(X_348,X_349)))) != complement(join(meet(X_348,X_349),complement(meet(X_348,X_349))))
| join(meet(X_348,X_349),complement(meet(X_348,X_349))) != top
| complement(join(meet(X_348,X_349),complement(meet(X_348,X_349)))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(meet(X_348,X_349),complement(meet(X_348,X_349)))),complement(join(meet(X_348,X_349),complement(meet(X_348,X_349))))) ),[1,0],$fot(top)]]) ).
cnf(refute_1_60,plain,
( join(meet(X_348,X_349),complement(meet(X_348,X_349))) != top
| complement(join(meet(X_348,X_349),complement(meet(X_348,X_349)))) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(join(meet(X_348,X_349),complement(meet(X_348,X_349)))),complement(join(meet(X_348,X_349),complement(meet(X_348,X_349))))) )],[refute_1_58,refute_1_59]) ).
cnf(refute_1_61,plain,
complement(join(meet(X_348,X_349),complement(meet(X_348,X_349)))) = complement(top),
inference(resolve,[$cnf( $equal(join(meet(X_348,X_349),complement(meet(X_348,X_349))),top) )],[refute_1_57,refute_1_60]) ).
cnf(refute_1_62,plain,
meet(join(complement(X_348),complement(X_349)),X1) = complement(join(complement(join(complement(X_348),complement(X_349))),complement(X1))),
inference(subst,[],[refute_1_47:[bind(X0,$fot(join(complement(X_348),complement(X_349))))]]) ).
cnf(refute_1_63,plain,
( complement(join(complement(X_348),complement(X_349))) != meet(X_348,X_349)
| meet(join(complement(X_348),complement(X_349)),X1) != complement(join(complement(join(complement(X_348),complement(X_349))),complement(X1)))
| meet(join(complement(X_348),complement(X_349)),X1) = complement(join(meet(X_348,X_349),complement(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(complement(X_348),complement(X_349)),X1),complement(join(complement(join(complement(X_348),complement(X_349))),complement(X1)))) ),[1,0,0],$fot(meet(X_348,X_349))]]) ).
cnf(refute_1_64,plain,
( meet(join(complement(X_348),complement(X_349)),X1) != complement(join(complement(join(complement(X_348),complement(X_349))),complement(X1)))
| meet(join(complement(X_348),complement(X_349)),X1) = complement(join(meet(X_348,X_349),complement(X1))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_348),complement(X_349))),meet(X_348,X_349)) )],[refute_1_50,refute_1_63]) ).
cnf(refute_1_65,plain,
meet(join(complement(X_348),complement(X_349)),X1) = complement(join(meet(X_348,X_349),complement(X1))),
inference(resolve,[$cnf( $equal(meet(join(complement(X_348),complement(X_349)),X1),complement(join(complement(join(complement(X_348),complement(X_349))),complement(X1)))) )],[refute_1_62,refute_1_64]) ).
cnf(refute_1_66,plain,
meet(join(complement(X_348),complement(X_349)),meet(X_348,X_349)) = complement(join(meet(X_348,X_349),complement(meet(X_348,X_349)))),
inference(subst,[],[refute_1_65:[bind(X1,$fot(meet(X_348,X_349)))]]) ).
cnf(refute_1_67,plain,
( complement(join(meet(X_348,X_349),complement(meet(X_348,X_349)))) != complement(top)
| meet(join(complement(X_348),complement(X_349)),meet(X_348,X_349)) != complement(join(meet(X_348,X_349),complement(meet(X_348,X_349))))
| meet(join(complement(X_348),complement(X_349)),meet(X_348,X_349)) = complement(top) ),
inference(subst,[],[refute_1_10:[bind(X,$fot(meet(join(complement(X_348),complement(X_349)),meet(X_348,X_349)))),bind(Y,$fot(complement(join(meet(X_348,X_349),complement(meet(X_348,X_349)))))),bind(Z,$fot(complement(top)))]]) ).
cnf(refute_1_68,plain,
( complement(join(meet(X_348,X_349),complement(meet(X_348,X_349)))) != complement(top)
| meet(join(complement(X_348),complement(X_349)),meet(X_348,X_349)) = complement(top) ),
inference(resolve,[$cnf( $equal(meet(join(complement(X_348),complement(X_349)),meet(X_348,X_349)),complement(join(meet(X_348,X_349),complement(meet(X_348,X_349))))) )],[refute_1_66,refute_1_67]) ).
cnf(refute_1_69,plain,
meet(join(complement(X_348),complement(X_349)),meet(X_348,X_349)) = complement(top),
inference(resolve,[$cnf( $equal(complement(join(meet(X_348,X_349),complement(meet(X_348,X_349)))),complement(top)) )],[refute_1_61,refute_1_68]) ).
cnf(refute_1_70,plain,
( meet(join(complement(X_348),complement(X_349)),meet(X_348,X_349)) != complement(top)
| zero != meet(join(complement(X_348),complement(X_349)),meet(X_348,X_349))
| zero = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(zero,meet(join(complement(X_348),complement(X_349)),meet(X_348,X_349))) ),[1],$fot(complement(top))]]) ).
cnf(refute_1_71,plain,
( zero != meet(join(complement(X_348),complement(X_349)),meet(X_348,X_349))
| zero = complement(top) ),
inference(resolve,[$cnf( $equal(meet(join(complement(X_348),complement(X_349)),meet(X_348,X_349)),complement(top)) )],[refute_1_69,refute_1_70]) ).
cnf(refute_1_72,plain,
zero = complement(top),
inference(resolve,[$cnf( $equal(zero,meet(join(complement(X_348),complement(X_349)),meet(X_348,X_349))) )],[refute_1_53,refute_1_71]) ).
cnf(refute_1_73,plain,
( zero != complement(top)
| complement(top) = zero ),
inference(subst,[],[refute_1_5:[bind(X,$fot(zero)),bind(Y,$fot(complement(top)))]]) ).
cnf(refute_1_74,plain,
complement(top) = zero,
inference(resolve,[$cnf( $equal(zero,complement(top)) )],[refute_1_72,refute_1_73]) ).
cnf(refute_1_75,plain,
( complement(top) != zero
| join(complement(top),composition(converse(X0),complement(composition(X0,top)))) != complement(top)
| join(zero,composition(converse(X0),complement(composition(X0,top)))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),composition(converse(X0),complement(composition(X0,top)))),complement(top)) ),[0,0],$fot(zero)]]) ).
cnf(refute_1_76,plain,
( join(complement(top),composition(converse(X0),complement(composition(X0,top)))) != complement(top)
| join(zero,composition(converse(X0),complement(composition(X0,top)))) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_1_74,refute_1_75]) ).
cnf(refute_1_77,plain,
join(zero,composition(converse(X0),complement(composition(X0,top)))) = complement(top),
inference(resolve,[$cnf( $equal(join(complement(top),composition(converse(X0),complement(composition(X0,top)))),complement(top)) )],[refute_1_44,refute_1_76]) ).
cnf(refute_1_78,plain,
( complement(top) != zero
| join(zero,composition(converse(X0),complement(composition(X0,top)))) != complement(top)
| join(zero,composition(converse(X0),complement(composition(X0,top)))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,composition(converse(X0),complement(composition(X0,top)))),complement(top)) ),[1],$fot(zero)]]) ).
cnf(refute_1_79,plain,
( join(zero,composition(converse(X0),complement(composition(X0,top)))) != complement(top)
| join(zero,composition(converse(X0),complement(composition(X0,top)))) = zero ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_1_74,refute_1_78]) ).
cnf(refute_1_80,plain,
join(zero,composition(converse(X0),complement(composition(X0,top)))) = zero,
inference(resolve,[$cnf( $equal(join(zero,composition(converse(X0),complement(composition(X0,top)))),complement(top)) )],[refute_1_77,refute_1_79]) ).
cnf(refute_1_81,plain,
X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
inference(canonicalize,[],[normalize_1_19]) ).
cnf(refute_1_82,plain,
join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),
inference(subst,[],[refute_1_7:[bind(X0,$fot(complement(join(complement(X0),X1)))),bind(X1,$fot(complement(join(complement(X0),complement(X1)))))]]) ).
cnf(refute_1_83,plain,
( X0 != join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1)))
| join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) != join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1))))
| X0 = join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) ),
introduced(tautology,[equality,[$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_84,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( $equal(join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1))))) )],[refute_1_82,refute_1_83]) ).
cnf(refute_1_85,plain,
X0 = join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),
inference(resolve,[$cnf( $equal(X0,join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1)))) )],[refute_1_81,refute_1_84]) ).
cnf(refute_1_86,plain,
join(complement(join(complement(X0),X1)),meet(X0,X1)) = join(meet(X0,X1),complement(join(complement(X0),X1))),
inference(subst,[],[refute_1_7:[bind(X0,$fot(meet(X0,X1))),bind(X1,$fot(complement(join(complement(X0),X1))))]]) ).
cnf(refute_1_87,plain,
( meet(X0,X1) != complement(join(complement(X0),complement(X1)))
| complement(join(complement(X0),complement(X1))) = meet(X0,X1) ),
inference(subst,[],[refute_1_5:[bind(X,$fot(meet(X0,X1))),bind(Y,$fot(complement(join(complement(X0),complement(X1)))))]]) ).
cnf(refute_1_88,plain,
complement(join(complement(X0),complement(X1))) = meet(X0,X1),
inference(resolve,[$cnf( $equal(meet(X0,X1),complement(join(complement(X0),complement(X1)))) )],[refute_1_47,refute_1_87]) ).
cnf(refute_1_89,plain,
join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),
introduced(tautology,[refl,[$fot(join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))))]]) ).
cnf(refute_1_90,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_91,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( $equal(join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1))))) )],[refute_1_89,refute_1_90]) ).
cnf(refute_1_92,plain,
join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = join(complement(join(complement(X0),X1)),meet(X0,X1)),
inference(resolve,[$cnf( $equal(complement(join(complement(X0),complement(X1))),meet(X0,X1)) )],[refute_1_88,refute_1_91]) ).
cnf(refute_1_93,plain,
( join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) != join(complement(join(complement(X0),X1)),meet(X0,X1))
| join(complement(join(complement(X0),X1)),meet(X0,X1)) != join(meet(X0,X1),complement(join(complement(X0),X1)))
| join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = join(meet(X0,X1),complement(join(complement(X0),X1))) ),
inference(subst,[],[refute_1_10:[bind(X,$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_94,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( $equal(join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),join(complement(join(complement(X0),X1)),meet(X0,X1))) )],[refute_1_92,refute_1_93]) ).
cnf(refute_1_95,plain,
join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = join(meet(X0,X1),complement(join(complement(X0),X1))),
inference(resolve,[$cnf( $equal(join(complement(join(complement(X0),X1)),meet(X0,X1)),join(meet(X0,X1),complement(join(complement(X0),X1)))) )],[refute_1_86,refute_1_94]) ).
cnf(refute_1_96,plain,
( X0 != join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1))))
| join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) != join(meet(X0,X1),complement(join(complement(X0),X1)))
| X0 = join(meet(X0,X1),complement(join(complement(X0),X1))) ),
introduced(tautology,[equality,[$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_97,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( $equal(join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),join(meet(X0,X1),complement(join(complement(X0),X1)))) )],[refute_1_95,refute_1_96]) ).
cnf(refute_1_98,plain,
X0 = join(meet(X0,X1),complement(join(complement(X0),X1))),
inference(resolve,[$cnf( $equal(X0,join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1))))) )],[refute_1_85,refute_1_97]) ).
cnf(refute_1_99,plain,
X_387 = join(meet(X_387,complement(complement(X_387))),complement(join(complement(X_387),complement(complement(X_387))))),
inference(subst,[],[refute_1_98:[bind(X0,$fot(X_387)),bind(X1,$fot(complement(complement(X_387))))]]) ).
cnf(refute_1_100,plain,
top = join(complement(X_387),complement(complement(X_387))),
inference(subst,[],[refute_1_54:[bind(X0,$fot(complement(X_387)))]]) ).
cnf(refute_1_101,plain,
( top != join(complement(X_387),complement(complement(X_387)))
| join(complement(X_387),complement(complement(X_387))) = top ),
inference(subst,[],[refute_1_5:[bind(X,$fot(top)),bind(Y,$fot(join(complement(X_387),complement(complement(X_387)))))]]) ).
cnf(refute_1_102,plain,
join(complement(X_387),complement(complement(X_387))) = top,
inference(resolve,[$cnf( $equal(top,join(complement(X_387),complement(complement(X_387)))) )],[refute_1_100,refute_1_101]) ).
cnf(refute_1_103,plain,
( X_387 != join(meet(X_387,complement(complement(X_387))),complement(join(complement(X_387),complement(complement(X_387)))))
| join(complement(X_387),complement(complement(X_387))) != top
| X_387 = join(meet(X_387,complement(complement(X_387))),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(X_387,join(meet(X_387,complement(complement(X_387))),complement(join(complement(X_387),complement(complement(X_387)))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_1_104,plain,
( X_387 != join(meet(X_387,complement(complement(X_387))),complement(join(complement(X_387),complement(complement(X_387)))))
| X_387 = join(meet(X_387,complement(complement(X_387))),complement(top)) ),
inference(resolve,[$cnf( $equal(join(complement(X_387),complement(complement(X_387))),top) )],[refute_1_102,refute_1_103]) ).
cnf(refute_1_105,plain,
X_387 = join(meet(X_387,complement(complement(X_387))),complement(top)),
inference(resolve,[$cnf( $equal(X_387,join(meet(X_387,complement(complement(X_387))),complement(join(complement(X_387),complement(complement(X_387)))))) )],[refute_1_99,refute_1_104]) ).
cnf(refute_1_106,plain,
join(complement(top),meet(X_387,complement(complement(X_387)))) = join(complement(top),meet(X_387,complement(complement(X_387)))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(X_387,complement(complement(X_387)))))]]) ).
cnf(refute_1_107,plain,
( complement(top) != zero
| join(complement(top),meet(X_387,complement(complement(X_387)))) != join(complement(top),meet(X_387,complement(complement(X_387))))
| join(complement(top),meet(X_387,complement(complement(X_387)))) = join(zero,meet(X_387,complement(complement(X_387)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(X_387,complement(complement(X_387)))),join(complement(top),meet(X_387,complement(complement(X_387))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_1_108,plain,
( complement(top) != zero
| join(complement(top),meet(X_387,complement(complement(X_387)))) = join(zero,meet(X_387,complement(complement(X_387)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_387,complement(complement(X_387)))),join(complement(top),meet(X_387,complement(complement(X_387))))) )],[refute_1_106,refute_1_107]) ).
cnf(refute_1_109,plain,
join(complement(top),meet(X_387,complement(complement(X_387)))) = join(zero,meet(X_387,complement(complement(X_387)))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_1_74,refute_1_108]) ).
cnf(refute_1_110,plain,
join(meet(X_387,complement(complement(X_387))),complement(top)) = join(complement(top),meet(X_387,complement(complement(X_387)))),
inference(subst,[],[refute_1_7:[bind(X0,$fot(complement(top))),bind(X1,$fot(meet(X_387,complement(complement(X_387)))))]]) ).
cnf(refute_1_111,plain,
( join(complement(top),meet(X_387,complement(complement(X_387)))) != join(zero,meet(X_387,complement(complement(X_387))))
| join(meet(X_387,complement(complement(X_387))),complement(top)) != join(complement(top),meet(X_387,complement(complement(X_387))))
| join(meet(X_387,complement(complement(X_387))),complement(top)) = join(zero,meet(X_387,complement(complement(X_387)))) ),
inference(subst,[],[refute_1_10:[bind(X,$fot(join(meet(X_387,complement(complement(X_387))),complement(top)))),bind(Y,$fot(join(complement(top),meet(X_387,complement(complement(X_387)))))),bind(Z,$fot(join(zero,meet(X_387,complement(complement(X_387))))))]]) ).
cnf(refute_1_112,plain,
( join(complement(top),meet(X_387,complement(complement(X_387)))) != join(zero,meet(X_387,complement(complement(X_387))))
| join(meet(X_387,complement(complement(X_387))),complement(top)) = join(zero,meet(X_387,complement(complement(X_387)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_387,complement(complement(X_387))),complement(top)),join(complement(top),meet(X_387,complement(complement(X_387))))) )],[refute_1_110,refute_1_111]) ).
cnf(refute_1_113,plain,
join(meet(X_387,complement(complement(X_387))),complement(top)) = join(zero,meet(X_387,complement(complement(X_387)))),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_387,complement(complement(X_387)))),join(zero,meet(X_387,complement(complement(X_387))))) )],[refute_1_109,refute_1_112]) ).
cnf(refute_1_114,plain,
( X_387 != join(meet(X_387,complement(complement(X_387))),complement(top))
| join(meet(X_387,complement(complement(X_387))),complement(top)) != join(zero,meet(X_387,complement(complement(X_387))))
| X_387 = join(zero,meet(X_387,complement(complement(X_387)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_387,join(zero,meet(X_387,complement(complement(X_387))))) ),[0],$fot(join(meet(X_387,complement(complement(X_387))),complement(top)))]]) ).
cnf(refute_1_115,plain,
( X_387 != join(meet(X_387,complement(complement(X_387))),complement(top))
| X_387 = join(zero,meet(X_387,complement(complement(X_387)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_387,complement(complement(X_387))),complement(top)),join(zero,meet(X_387,complement(complement(X_387))))) )],[refute_1_113,refute_1_114]) ).
cnf(refute_1_116,plain,
X_387 = join(zero,meet(X_387,complement(complement(X_387)))),
inference(resolve,[$cnf( $equal(X_387,join(meet(X_387,complement(complement(X_387))),complement(top))) )],[refute_1_105,refute_1_115]) ).
cnf(refute_1_117,plain,
meet(X1,X1) = complement(join(complement(X1),complement(X1))),
inference(subst,[],[refute_1_47:[bind(X0,$fot(X1))]]) ).
cnf(refute_1_118,plain,
join(complement(X1),composition(converse(converse(one)),complement(composition(converse(one),X1)))) = complement(X1),
inference(subst,[],[refute_1_21:[bind(X0,$fot(converse(one)))]]) ).
cnf(refute_1_119,plain,
converse(composition(converse(X0),X_355)) = composition(converse(X_355),converse(converse(X0))),
inference(subst,[],[refute_1_23:[bind(X0,$fot(converse(X0))),bind(X1,$fot(X_355))]]) ).
cnf(refute_1_120,plain,
( converse(composition(converse(X0),X_355)) != composition(converse(X_355),converse(converse(X0)))
| converse(converse(X0)) != X0
| converse(composition(converse(X0),X_355)) = composition(converse(X_355),X0) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(X0),X_355)),composition(converse(X_355),converse(converse(X0)))) ),[1,1],$fot(X0)]]) ).
cnf(refute_1_121,plain,
( converse(composition(converse(X0),X_355)) != composition(converse(X_355),converse(converse(X0)))
| converse(composition(converse(X0),X_355)) = composition(converse(X_355),X0) ),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_1_30,refute_1_120]) ).
cnf(refute_1_122,plain,
converse(composition(converse(X0),X_355)) = composition(converse(X_355),X0),
inference(resolve,[$cnf( $equal(converse(composition(converse(X0),X_355)),composition(converse(X_355),converse(converse(X0)))) )],[refute_1_119,refute_1_121]) ).
cnf(refute_1_123,plain,
converse(composition(converse(X_381),one)) = composition(converse(one),X_381),
inference(subst,[],[refute_1_122:[bind(X0,$fot(X_381)),bind(X_355,$fot(one))]]) ).
cnf(refute_1_124,plain,
composition(X0,one) = X0,
inference(canonicalize,[],[normalize_1_21]) ).
cnf(refute_1_125,plain,
composition(converse(X_381),one) = converse(X_381),
inference(subst,[],[refute_1_124:[bind(X0,$fot(converse(X_381)))]]) ).
cnf(refute_1_126,plain,
( composition(converse(X_381),one) != converse(X_381)
| converse(composition(converse(X_381),one)) != composition(converse(one),X_381)
| converse(converse(X_381)) = composition(converse(one),X_381) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(X_381),one)),composition(converse(one),X_381)) ),[0,0],$fot(converse(X_381))]]) ).
cnf(refute_1_127,plain,
( converse(composition(converse(X_381),one)) != composition(converse(one),X_381)
| converse(converse(X_381)) = composition(converse(one),X_381) ),
inference(resolve,[$cnf( $equal(composition(converse(X_381),one),converse(X_381)) )],[refute_1_125,refute_1_126]) ).
cnf(refute_1_128,plain,
converse(converse(X_381)) = composition(converse(one),X_381),
inference(resolve,[$cnf( $equal(converse(composition(converse(X_381),one)),composition(converse(one),X_381)) )],[refute_1_123,refute_1_127]) ).
cnf(refute_1_129,plain,
converse(converse(X_381)) = X_381,
inference(subst,[],[refute_1_30:[bind(X0,$fot(X_381))]]) ).
cnf(refute_1_130,plain,
( converse(converse(X_381)) != X_381
| converse(converse(X_381)) != composition(converse(one),X_381)
| X_381 = composition(converse(one),X_381) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(X_381)),composition(converse(one),X_381)) ),[0],$fot(X_381)]]) ).
cnf(refute_1_131,plain,
( converse(converse(X_381)) != composition(converse(one),X_381)
| X_381 = composition(converse(one),X_381) ),
inference(resolve,[$cnf( $equal(converse(converse(X_381)),X_381) )],[refute_1_129,refute_1_130]) ).
cnf(refute_1_132,plain,
X_381 = composition(converse(one),X_381),
inference(resolve,[$cnf( $equal(converse(converse(X_381)),composition(converse(one),X_381)) )],[refute_1_128,refute_1_131]) ).
cnf(refute_1_133,plain,
X1 = composition(converse(one),X1),
inference(subst,[],[refute_1_132:[bind(X_381,$fot(X1))]]) ).
cnf(refute_1_134,plain,
( X1 != composition(converse(one),X1)
| composition(converse(one),X1) = X1 ),
inference(subst,[],[refute_1_5:[bind(X,$fot(X1)),bind(Y,$fot(composition(converse(one),X1)))]]) ).
cnf(refute_1_135,plain,
composition(converse(one),X1) = X1,
inference(resolve,[$cnf( $equal(X1,composition(converse(one),X1)) )],[refute_1_133,refute_1_134]) ).
cnf(refute_1_136,plain,
( composition(converse(one),X1) != X1
| join(complement(X1),composition(converse(converse(one)),complement(composition(converse(one),X1)))) != complement(X1)
| join(complement(X1),composition(converse(converse(one)),complement(X1))) = complement(X1) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X1),composition(converse(converse(one)),complement(composition(converse(one),X1)))),complement(X1)) ),[0,1,1,0],$fot(X1)]]) ).
cnf(refute_1_137,plain,
( join(complement(X1),composition(converse(converse(one)),complement(composition(converse(one),X1)))) != complement(X1)
| join(complement(X1),composition(converse(converse(one)),complement(X1))) = complement(X1) ),
inference(resolve,[$cnf( $equal(composition(converse(one),X1),X1) )],[refute_1_135,refute_1_136]) ).
cnf(refute_1_138,plain,
join(complement(X1),composition(converse(converse(one)),complement(X1))) = complement(X1),
inference(resolve,[$cnf( $equal(join(complement(X1),composition(converse(converse(one)),complement(composition(converse(one),X1)))),complement(X1)) )],[refute_1_118,refute_1_137]) ).
cnf(refute_1_139,plain,
composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
inference(canonicalize,[],[normalize_1_23]) ).
cnf(refute_1_140,plain,
composition(X_335,composition(one,X_337)) = composition(composition(X_335,one),X_337),
inference(subst,[],[refute_1_139:[bind(X0,$fot(X_335)),bind(X1,$fot(one)),bind(X2,$fot(X_337))]]) ).
cnf(refute_1_141,plain,
composition(X_335,one) = X_335,
inference(subst,[],[refute_1_124:[bind(X0,$fot(X_335))]]) ).
cnf(refute_1_142,plain,
( composition(X_335,composition(one,X_337)) != composition(composition(X_335,one),X_337)
| composition(X_335,one) != X_335
| composition(X_335,composition(one,X_337)) = composition(X_335,X_337) ),
introduced(tautology,[equality,[$cnf( $equal(composition(X_335,composition(one,X_337)),composition(composition(X_335,one),X_337)) ),[1,0],$fot(X_335)]]) ).
cnf(refute_1_143,plain,
( composition(X_335,composition(one,X_337)) != composition(composition(X_335,one),X_337)
| composition(X_335,composition(one,X_337)) = composition(X_335,X_337) ),
inference(resolve,[$cnf( $equal(composition(X_335,one),X_335) )],[refute_1_141,refute_1_142]) ).
cnf(refute_1_144,plain,
composition(X_335,composition(one,X_337)) = composition(X_335,X_337),
inference(resolve,[$cnf( $equal(composition(X_335,composition(one,X_337)),composition(composition(X_335,one),X_337)) )],[refute_1_140,refute_1_143]) ).
cnf(refute_1_145,plain,
composition(converse(one),composition(one,X_337)) = composition(converse(one),X_337),
inference(subst,[],[refute_1_144:[bind(X_335,$fot(converse(one)))]]) ).
cnf(refute_1_146,plain,
composition(one,X_337) = composition(converse(one),composition(one,X_337)),
inference(subst,[],[refute_1_132:[bind(X_381,$fot(composition(one,X_337)))]]) ).
cnf(refute_1_147,plain,
( composition(one,X_337) != composition(converse(one),composition(one,X_337))
| composition(converse(one),composition(one,X_337)) = composition(one,X_337) ),
inference(subst,[],[refute_1_5:[bind(X,$fot(composition(one,X_337))),bind(Y,$fot(composition(converse(one),composition(one,X_337))))]]) ).
cnf(refute_1_148,plain,
composition(converse(one),composition(one,X_337)) = composition(one,X_337),
inference(resolve,[$cnf( $equal(composition(one,X_337),composition(converse(one),composition(one,X_337))) )],[refute_1_146,refute_1_147]) ).
cnf(refute_1_149,plain,
( composition(converse(one),composition(one,X_337)) != composition(converse(one),X_337)
| composition(converse(one),composition(one,X_337)) != composition(one,X_337)
| composition(one,X_337) = composition(converse(one),X_337) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(one),composition(one,X_337)),composition(converse(one),X_337)) ),[0],$fot(composition(one,X_337))]]) ).
cnf(refute_1_150,plain,
( composition(converse(one),composition(one,X_337)) != composition(converse(one),X_337)
| composition(one,X_337) = composition(converse(one),X_337) ),
inference(resolve,[$cnf( $equal(composition(converse(one),composition(one,X_337)),composition(one,X_337)) )],[refute_1_148,refute_1_149]) ).
cnf(refute_1_151,plain,
composition(one,X_337) = composition(converse(one),X_337),
inference(resolve,[$cnf( $equal(composition(converse(one),composition(one,X_337)),composition(converse(one),X_337)) )],[refute_1_145,refute_1_150]) ).
cnf(refute_1_152,plain,
( X_381 != composition(converse(one),X_381)
| composition(converse(one),X_381) = X_381 ),
inference(subst,[],[refute_1_5:[bind(X,$fot(X_381)),bind(Y,$fot(composition(converse(one),X_381)))]]) ).
cnf(refute_1_153,plain,
composition(converse(one),X_381) = X_381,
inference(resolve,[$cnf( $equal(X_381,composition(converse(one),X_381)) )],[refute_1_132,refute_1_152]) ).
cnf(refute_1_154,plain,
composition(converse(one),X_337) = X_337,
inference(subst,[],[refute_1_153:[bind(X_381,$fot(X_337))]]) ).
cnf(refute_1_155,plain,
( composition(converse(one),X_337) != X_337
| composition(one,X_337) != composition(converse(one),X_337)
| composition(one,X_337) = X_337 ),
introduced(tautology,[equality,[$cnf( $equal(composition(one,X_337),composition(converse(one),X_337)) ),[1],$fot(X_337)]]) ).
cnf(refute_1_156,plain,
( composition(one,X_337) != composition(converse(one),X_337)
| composition(one,X_337) = X_337 ),
inference(resolve,[$cnf( $equal(composition(converse(one),X_337),X_337) )],[refute_1_154,refute_1_155]) ).
cnf(refute_1_157,plain,
composition(one,X_337) = X_337,
inference(resolve,[$cnf( $equal(composition(one,X_337),composition(converse(one),X_337)) )],[refute_1_151,refute_1_156]) ).
cnf(refute_1_158,plain,
composition(one,complement(X1)) = complement(X1),
inference(subst,[],[refute_1_157:[bind(X_337,$fot(complement(X1)))]]) ).
cnf(refute_1_159,plain,
converse(converse(one)) = one,
inference(subst,[],[refute_1_30:[bind(X0,$fot(one))]]) ).
cnf(refute_1_160,plain,
composition(converse(converse(one)),complement(X1)) = composition(converse(converse(one)),complement(X1)),
introduced(tautology,[refl,[$fot(composition(converse(converse(one)),complement(X1)))]]) ).
cnf(refute_1_161,plain,
( composition(converse(converse(one)),complement(X1)) != composition(converse(converse(one)),complement(X1))
| converse(converse(one)) != one
| composition(converse(converse(one)),complement(X1)) = composition(one,complement(X1)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(converse(one)),complement(X1)),composition(converse(converse(one)),complement(X1))) ),[1,0],$fot(one)]]) ).
cnf(refute_1_162,plain,
( converse(converse(one)) != one
| composition(converse(converse(one)),complement(X1)) = composition(one,complement(X1)) ),
inference(resolve,[$cnf( $equal(composition(converse(converse(one)),complement(X1)),composition(converse(converse(one)),complement(X1))) )],[refute_1_160,refute_1_161]) ).
cnf(refute_1_163,plain,
composition(converse(converse(one)),complement(X1)) = composition(one,complement(X1)),
inference(resolve,[$cnf( $equal(converse(converse(one)),one) )],[refute_1_159,refute_1_162]) ).
cnf(refute_1_164,plain,
( composition(converse(converse(one)),complement(X1)) != composition(one,complement(X1))
| composition(one,complement(X1)) != complement(X1)
| composition(converse(converse(one)),complement(X1)) = complement(X1) ),
inference(subst,[],[refute_1_10:[bind(X,$fot(composition(converse(converse(one)),complement(X1)))),bind(Y,$fot(composition(one,complement(X1)))),bind(Z,$fot(complement(X1)))]]) ).
cnf(refute_1_165,plain,
( composition(one,complement(X1)) != complement(X1)
| composition(converse(converse(one)),complement(X1)) = complement(X1) ),
inference(resolve,[$cnf( $equal(composition(converse(converse(one)),complement(X1)),composition(one,complement(X1))) )],[refute_1_163,refute_1_164]) ).
cnf(refute_1_166,plain,
composition(converse(converse(one)),complement(X1)) = complement(X1),
inference(resolve,[$cnf( $equal(composition(one,complement(X1)),complement(X1)) )],[refute_1_158,refute_1_165]) ).
cnf(refute_1_167,plain,
join(complement(X1),composition(converse(converse(one)),complement(X1))) = join(complement(X1),composition(converse(converse(one)),complement(X1))),
introduced(tautology,[refl,[$fot(join(complement(X1),composition(converse(converse(one)),complement(X1))))]]) ).
cnf(refute_1_168,plain,
( composition(converse(converse(one)),complement(X1)) != complement(X1)
| join(complement(X1),composition(converse(converse(one)),complement(X1))) != join(complement(X1),composition(converse(converse(one)),complement(X1)))
| join(complement(X1),composition(converse(converse(one)),complement(X1))) = join(complement(X1),complement(X1)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X1),composition(converse(converse(one)),complement(X1))),join(complement(X1),composition(converse(converse(one)),complement(X1)))) ),[1,1],$fot(complement(X1))]]) ).
cnf(refute_1_169,plain,
( composition(converse(converse(one)),complement(X1)) != complement(X1)
| join(complement(X1),composition(converse(converse(one)),complement(X1))) = join(complement(X1),complement(X1)) ),
inference(resolve,[$cnf( $equal(join(complement(X1),composition(converse(converse(one)),complement(X1))),join(complement(X1),composition(converse(converse(one)),complement(X1)))) )],[refute_1_167,refute_1_168]) ).
cnf(refute_1_170,plain,
join(complement(X1),composition(converse(converse(one)),complement(X1))) = join(complement(X1),complement(X1)),
inference(resolve,[$cnf( $equal(composition(converse(converse(one)),complement(X1)),complement(X1)) )],[refute_1_166,refute_1_169]) ).
cnf(refute_1_171,plain,
( join(complement(X1),composition(converse(converse(one)),complement(X1))) != complement(X1)
| join(complement(X1),composition(converse(converse(one)),complement(X1))) != join(complement(X1),complement(X1))
| join(complement(X1),complement(X1)) = complement(X1) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X1),composition(converse(converse(one)),complement(X1))),complement(X1)) ),[0],$fot(join(complement(X1),complement(X1)))]]) ).
cnf(refute_1_172,plain,
( join(complement(X1),composition(converse(converse(one)),complement(X1))) != complement(X1)
| join(complement(X1),complement(X1)) = complement(X1) ),
inference(resolve,[$cnf( $equal(join(complement(X1),composition(converse(converse(one)),complement(X1))),join(complement(X1),complement(X1))) )],[refute_1_170,refute_1_171]) ).
cnf(refute_1_173,plain,
join(complement(X1),complement(X1)) = complement(X1),
inference(resolve,[$cnf( $equal(join(complement(X1),composition(converse(converse(one)),complement(X1))),complement(X1)) )],[refute_1_138,refute_1_172]) ).
cnf(refute_1_174,plain,
( join(complement(X1),complement(X1)) != complement(X1)
| meet(X1,X1) != complement(join(complement(X1),complement(X1)))
| meet(X1,X1) = complement(complement(X1)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X1,X1),complement(join(complement(X1),complement(X1)))) ),[1,0],$fot(complement(X1))]]) ).
cnf(refute_1_175,plain,
( meet(X1,X1) != complement(join(complement(X1),complement(X1)))
| meet(X1,X1) = complement(complement(X1)) ),
inference(resolve,[$cnf( $equal(join(complement(X1),complement(X1)),complement(X1)) )],[refute_1_173,refute_1_174]) ).
cnf(refute_1_176,plain,
meet(X1,X1) = complement(complement(X1)),
inference(resolve,[$cnf( $equal(meet(X1,X1),complement(join(complement(X1),complement(X1)))) )],[refute_1_117,refute_1_175]) ).
cnf(refute_1_177,plain,
X_387 = join(meet(X_387,complement(X_387)),complement(join(complement(X_387),complement(X_387)))),
inference(subst,[],[refute_1_98:[bind(X0,$fot(X_387)),bind(X1,$fot(complement(X_387)))]]) ).
cnf(refute_1_178,plain,
join(complement(X_387),complement(X_387)) = complement(X_387),
inference(subst,[],[refute_1_173:[bind(X1,$fot(X_387))]]) ).
cnf(refute_1_179,plain,
( X_387 != join(meet(X_387,complement(X_387)),complement(join(complement(X_387),complement(X_387))))
| join(complement(X_387),complement(X_387)) != complement(X_387)
| X_387 = join(meet(X_387,complement(X_387)),complement(complement(X_387))) ),
introduced(tautology,[equality,[$cnf( $equal(X_387,join(meet(X_387,complement(X_387)),complement(join(complement(X_387),complement(X_387))))) ),[1,1,0],$fot(complement(X_387))]]) ).
cnf(refute_1_180,plain,
( X_387 != join(meet(X_387,complement(X_387)),complement(join(complement(X_387),complement(X_387))))
| X_387 = join(meet(X_387,complement(X_387)),complement(complement(X_387))) ),
inference(resolve,[$cnf( $equal(join(complement(X_387),complement(X_387)),complement(X_387)) )],[refute_1_178,refute_1_179]) ).
cnf(refute_1_181,plain,
X_387 = join(meet(X_387,complement(X_387)),complement(complement(X_387))),
inference(resolve,[$cnf( $equal(X_387,join(meet(X_387,complement(X_387)),complement(join(complement(X_387),complement(X_387))))) )],[refute_1_177,refute_1_180]) ).
cnf(refute_1_182,plain,
join(complement(complement(X_387)),zero) = join(zero,complement(complement(X_387))),
inference(subst,[],[refute_1_7:[bind(X0,$fot(zero)),bind(X1,$fot(complement(complement(X_387))))]]) ).
cnf(refute_1_183,plain,
( zero != meet(X0,complement(X0))
| meet(X0,complement(X0)) = zero ),
inference(subst,[],[refute_1_5:[bind(X,$fot(zero)),bind(Y,$fot(meet(X0,complement(X0))))]]) ).
cnf(refute_1_184,plain,
meet(X0,complement(X0)) = zero,
inference(resolve,[$cnf( $equal(zero,meet(X0,complement(X0))) )],[refute_1_45,refute_1_183]) ).
cnf(refute_1_185,plain,
meet(X_387,complement(X_387)) = zero,
inference(subst,[],[refute_1_184:[bind(X0,$fot(X_387))]]) ).
cnf(refute_1_186,plain,
join(complement(complement(X_387)),meet(X_387,complement(X_387))) = join(complement(complement(X_387)),meet(X_387,complement(X_387))),
introduced(tautology,[refl,[$fot(join(complement(complement(X_387)),meet(X_387,complement(X_387))))]]) ).
cnf(refute_1_187,plain,
( join(complement(complement(X_387)),meet(X_387,complement(X_387))) != join(complement(complement(X_387)),meet(X_387,complement(X_387)))
| meet(X_387,complement(X_387)) != zero
| join(complement(complement(X_387)),meet(X_387,complement(X_387))) = join(complement(complement(X_387)),zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(X_387)),meet(X_387,complement(X_387))),join(complement(complement(X_387)),meet(X_387,complement(X_387)))) ),[1,1],$fot(zero)]]) ).
cnf(refute_1_188,plain,
( meet(X_387,complement(X_387)) != zero
| join(complement(complement(X_387)),meet(X_387,complement(X_387))) = join(complement(complement(X_387)),zero) ),
inference(resolve,[$cnf( $equal(join(complement(complement(X_387)),meet(X_387,complement(X_387))),join(complement(complement(X_387)),meet(X_387,complement(X_387)))) )],[refute_1_186,refute_1_187]) ).
cnf(refute_1_189,plain,
join(complement(complement(X_387)),meet(X_387,complement(X_387))) = join(complement(complement(X_387)),zero),
inference(resolve,[$cnf( $equal(meet(X_387,complement(X_387)),zero) )],[refute_1_185,refute_1_188]) ).
cnf(refute_1_190,plain,
( join(complement(complement(X_387)),meet(X_387,complement(X_387))) != join(complement(complement(X_387)),zero)
| join(complement(complement(X_387)),zero) != join(zero,complement(complement(X_387)))
| join(complement(complement(X_387)),meet(X_387,complement(X_387))) = join(zero,complement(complement(X_387))) ),
inference(subst,[],[refute_1_10:[bind(X,$fot(join(complement(complement(X_387)),meet(X_387,complement(X_387))))),bind(Y,$fot(join(complement(complement(X_387)),zero))),bind(Z,$fot(join(zero,complement(complement(X_387)))))]]) ).
cnf(refute_1_191,plain,
( join(complement(complement(X_387)),zero) != join(zero,complement(complement(X_387)))
| join(complement(complement(X_387)),meet(X_387,complement(X_387))) = join(zero,complement(complement(X_387))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(X_387)),meet(X_387,complement(X_387))),join(complement(complement(X_387)),zero)) )],[refute_1_189,refute_1_190]) ).
cnf(refute_1_192,plain,
join(complement(complement(X_387)),meet(X_387,complement(X_387))) = join(zero,complement(complement(X_387))),
inference(resolve,[$cnf( $equal(join(complement(complement(X_387)),zero),join(zero,complement(complement(X_387)))) )],[refute_1_182,refute_1_191]) ).
cnf(refute_1_193,plain,
join(meet(X_387,complement(X_387)),complement(complement(X_387))) = join(complement(complement(X_387)),meet(X_387,complement(X_387))),
inference(subst,[],[refute_1_7:[bind(X0,$fot(complement(complement(X_387)))),bind(X1,$fot(meet(X_387,complement(X_387))))]]) ).
cnf(refute_1_194,plain,
( join(complement(complement(X_387)),meet(X_387,complement(X_387))) != join(zero,complement(complement(X_387)))
| join(meet(X_387,complement(X_387)),complement(complement(X_387))) != join(complement(complement(X_387)),meet(X_387,complement(X_387)))
| join(meet(X_387,complement(X_387)),complement(complement(X_387))) = join(zero,complement(complement(X_387))) ),
inference(subst,[],[refute_1_10:[bind(X,$fot(join(meet(X_387,complement(X_387)),complement(complement(X_387))))),bind(Y,$fot(join(complement(complement(X_387)),meet(X_387,complement(X_387))))),bind(Z,$fot(join(zero,complement(complement(X_387)))))]]) ).
cnf(refute_1_195,plain,
( join(complement(complement(X_387)),meet(X_387,complement(X_387))) != join(zero,complement(complement(X_387)))
| join(meet(X_387,complement(X_387)),complement(complement(X_387))) = join(zero,complement(complement(X_387))) ),
inference(resolve,[$cnf( $equal(join(meet(X_387,complement(X_387)),complement(complement(X_387))),join(complement(complement(X_387)),meet(X_387,complement(X_387)))) )],[refute_1_193,refute_1_194]) ).
cnf(refute_1_196,plain,
join(meet(X_387,complement(X_387)),complement(complement(X_387))) = join(zero,complement(complement(X_387))),
inference(resolve,[$cnf( $equal(join(complement(complement(X_387)),meet(X_387,complement(X_387))),join(zero,complement(complement(X_387)))) )],[refute_1_192,refute_1_195]) ).
cnf(refute_1_197,plain,
( X_387 != join(meet(X_387,complement(X_387)),complement(complement(X_387)))
| join(meet(X_387,complement(X_387)),complement(complement(X_387))) != join(zero,complement(complement(X_387)))
| X_387 = join(zero,complement(complement(X_387))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_387,join(zero,complement(complement(X_387)))) ),[0],$fot(join(meet(X_387,complement(X_387)),complement(complement(X_387))))]]) ).
cnf(refute_1_198,plain,
( X_387 != join(meet(X_387,complement(X_387)),complement(complement(X_387)))
| X_387 = join(zero,complement(complement(X_387))) ),
inference(resolve,[$cnf( $equal(join(meet(X_387,complement(X_387)),complement(complement(X_387))),join(zero,complement(complement(X_387)))) )],[refute_1_196,refute_1_197]) ).
cnf(refute_1_199,plain,
X_387 = join(zero,complement(complement(X_387))),
inference(resolve,[$cnf( $equal(X_387,join(meet(X_387,complement(X_387)),complement(complement(X_387)))) )],[refute_1_181,refute_1_198]) ).
cnf(refute_1_200,plain,
X_387 = join(meet(X_387,top),complement(join(complement(X_387),top))),
inference(subst,[],[refute_1_98:[bind(X0,$fot(X_387)),bind(X1,$fot(top))]]) ).
cnf(refute_1_201,plain,
meet(X0,top) = complement(join(complement(X0),complement(top))),
inference(subst,[],[refute_1_47:[bind(X1,$fot(top))]]) ).
cnf(refute_1_202,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_203,plain,
( meet(X0,top) != complement(join(complement(X0),complement(top)))
| meet(X0,top) = complement(join(complement(X0),zero)) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_1_74,refute_1_202]) ).
cnf(refute_1_204,plain,
meet(X0,top) = complement(join(complement(X0),zero)),
inference(resolve,[$cnf( $equal(meet(X0,top),complement(join(complement(X0),complement(top)))) )],[refute_1_201,refute_1_203]) ).
cnf(refute_1_205,plain,
meet(top,X1) = complement(join(complement(top),complement(X1))),
inference(subst,[],[refute_1_47:[bind(X0,$fot(top))]]) ).
cnf(refute_1_206,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_207,plain,
( meet(top,X1) != complement(join(complement(top),complement(X1)))
| meet(top,X1) = complement(join(zero,complement(X1))) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_1_74,refute_1_206]) ).
cnf(refute_1_208,plain,
meet(top,X1) = complement(join(zero,complement(X1))),
inference(resolve,[$cnf( $equal(meet(top,X1),complement(join(complement(top),complement(X1)))) )],[refute_1_205,refute_1_207]) ).
cnf(refute_1_209,plain,
( meet(top,X1) != complement(join(zero,complement(X1)))
| complement(join(zero,complement(X1))) = meet(top,X1) ),
inference(subst,[],[refute_1_5:[bind(X,$fot(meet(top,X1))),bind(Y,$fot(complement(join(zero,complement(X1)))))]]) ).
cnf(refute_1_210,plain,
complement(join(zero,complement(X1))) = meet(top,X1),
inference(resolve,[$cnf( $equal(meet(top,X1),complement(join(zero,complement(X1)))) )],[refute_1_208,refute_1_209]) ).
cnf(refute_1_211,plain,
complement(join(zero,complement(X0))) = meet(top,X0),
inference(subst,[],[refute_1_210:[bind(X1,$fot(X0))]]) ).
cnf(refute_1_212,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_213,plain,
complement(join(complement(X0),zero)) = complement(join(complement(X0),zero)),
introduced(tautology,[refl,[$fot(complement(join(complement(X0),zero)))]]) ).
cnf(refute_1_214,plain,
( complement(join(complement(X0),zero)) != complement(join(complement(X0),zero))
| join(complement(X0),zero) != join(zero,complement(X0))
| complement(join(complement(X0),zero)) = complement(join(zero,complement(X0))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(X0),zero)),complement(join(complement(X0),zero))) ),[1,0],$fot(join(zero,complement(X0)))]]) ).
cnf(refute_1_215,plain,
( join(complement(X0),zero) != join(zero,complement(X0))
| complement(join(complement(X0),zero)) = complement(join(zero,complement(X0))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X0),zero)),complement(join(complement(X0),zero))) )],[refute_1_213,refute_1_214]) ).
cnf(refute_1_216,plain,
complement(join(complement(X0),zero)) = complement(join(zero,complement(X0))),
inference(resolve,[$cnf( $equal(join(complement(X0),zero),join(zero,complement(X0))) )],[refute_1_212,refute_1_215]) ).
cnf(refute_1_217,plain,
( complement(join(complement(X0),zero)) != complement(join(zero,complement(X0)))
| complement(join(zero,complement(X0))) != meet(top,X0)
| complement(join(complement(X0),zero)) = meet(top,X0) ),
inference(subst,[],[refute_1_10:[bind(X,$fot(complement(join(complement(X0),zero)))),bind(Y,$fot(complement(join(zero,complement(X0))))),bind(Z,$fot(meet(top,X0)))]]) ).
cnf(refute_1_218,plain,
( complement(join(zero,complement(X0))) != meet(top,X0)
| complement(join(complement(X0),zero)) = meet(top,X0) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X0),zero)),complement(join(zero,complement(X0)))) )],[refute_1_216,refute_1_217]) ).
cnf(refute_1_219,plain,
complement(join(complement(X0),zero)) = meet(top,X0),
inference(resolve,[$cnf( $equal(complement(join(zero,complement(X0))),meet(top,X0)) )],[refute_1_211,refute_1_218]) ).
cnf(refute_1_220,plain,
( complement(join(complement(X0),zero)) != meet(top,X0)
| meet(X0,top) != complement(join(complement(X0),zero))
| meet(X0,top) = meet(top,X0) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X0,top),complement(join(complement(X0),zero))) ),[1],$fot(meet(top,X0))]]) ).
cnf(refute_1_221,plain,
( meet(X0,top) != complement(join(complement(X0),zero))
| meet(X0,top) = meet(top,X0) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X0),zero)),meet(top,X0)) )],[refute_1_219,refute_1_220]) ).
cnf(refute_1_222,plain,
meet(X0,top) = meet(top,X0),
inference(resolve,[$cnf( $equal(meet(X0,top),complement(join(complement(X0),zero))) )],[refute_1_204,refute_1_221]) ).
cnf(refute_1_223,plain,
meet(X_387,top) = meet(top,X_387),
inference(subst,[],[refute_1_222:[bind(X0,$fot(X_387))]]) ).
cnf(refute_1_224,plain,
( X_387 != join(meet(X_387,top),complement(join(complement(X_387),top)))
| meet(X_387,top) != meet(top,X_387)
| X_387 = join(meet(top,X_387),complement(join(complement(X_387),top))) ),
introduced(tautology,[equality,[$cnf( $equal(X_387,join(meet(X_387,top),complement(join(complement(X_387),top)))) ),[1,0],$fot(meet(top,X_387))]]) ).
cnf(refute_1_225,plain,
( X_387 != join(meet(X_387,top),complement(join(complement(X_387),top)))
| X_387 = join(meet(top,X_387),complement(join(complement(X_387),top))) ),
inference(resolve,[$cnf( $equal(meet(X_387,top),meet(top,X_387)) )],[refute_1_223,refute_1_224]) ).
cnf(refute_1_226,plain,
X_387 = join(meet(top,X_387),complement(join(complement(X_387),top))),
inference(resolve,[$cnf( $equal(X_387,join(meet(X_387,top),complement(join(complement(X_387),top)))) )],[refute_1_200,refute_1_225]) ).
cnf(refute_1_227,plain,
join(meet(top,X_387),zero) = join(zero,meet(top,X_387)),
inference(subst,[],[refute_1_7:[bind(X0,$fot(zero)),bind(X1,$fot(meet(top,X_387)))]]) ).
cnf(refute_1_228,plain,
join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(canonicalize,[],[normalize_1_25]) ).
cnf(refute_1_229,plain,
join(X_358,join(zero,join(zero,meet(top,top)))) = join(join(X_358,zero),join(zero,meet(top,top))),
inference(subst,[],[refute_1_228:[bind(X0,$fot(X_358)),bind(X1,$fot(zero)),bind(X2,$fot(join(zero,meet(top,top))))]]) ).
cnf(refute_1_230,plain,
top = join(join(zero,zero),complement(join(zero,zero))),
inference(subst,[],[refute_1_54:[bind(X0,$fot(join(zero,zero)))]]) ).
cnf(refute_1_231,plain,
meet(top,top) = complement(join(zero,complement(top))),
inference(subst,[],[refute_1_208:[bind(X1,$fot(top))]]) ).
cnf(refute_1_232,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_233,plain,
( meet(top,top) != complement(join(zero,complement(top)))
| meet(top,top) = complement(join(zero,zero)) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_1_74,refute_1_232]) ).
cnf(refute_1_234,plain,
meet(top,top) = complement(join(zero,zero)),
inference(resolve,[$cnf( $equal(meet(top,top),complement(join(zero,complement(top)))) )],[refute_1_231,refute_1_233]) ).
cnf(refute_1_235,plain,
( meet(top,top) != complement(join(zero,zero))
| complement(join(zero,zero)) = meet(top,top) ),
inference(subst,[],[refute_1_5:[bind(X,$fot(meet(top,top))),bind(Y,$fot(complement(join(zero,zero))))]]) ).
cnf(refute_1_236,plain,
complement(join(zero,zero)) = meet(top,top),
inference(resolve,[$cnf( $equal(meet(top,top),complement(join(zero,zero))) )],[refute_1_234,refute_1_235]) ).
cnf(refute_1_237,plain,
( complement(join(zero,zero)) != meet(top,top)
| top != join(join(zero,zero),complement(join(zero,zero)))
| top = join(join(zero,zero),meet(top,top)) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(join(zero,zero),complement(join(zero,zero)))) ),[1,1],$fot(meet(top,top))]]) ).
cnf(refute_1_238,plain,
( top != join(join(zero,zero),complement(join(zero,zero)))
| top = join(join(zero,zero),meet(top,top)) ),
inference(resolve,[$cnf( $equal(complement(join(zero,zero)),meet(top,top)) )],[refute_1_236,refute_1_237]) ).
cnf(refute_1_239,plain,
top = join(join(zero,zero),meet(top,top)),
inference(resolve,[$cnf( $equal(top,join(join(zero,zero),complement(join(zero,zero)))) )],[refute_1_230,refute_1_238]) ).
cnf(refute_1_240,plain,
( join(X0,join(X1,X2)) != join(join(X0,X1),X2)
| join(join(X0,X1),X2) = join(X0,join(X1,X2)) ),
inference(subst,[],[refute_1_5:[bind(X,$fot(join(X0,join(X1,X2)))),bind(Y,$fot(join(join(X0,X1),X2)))]]) ).
cnf(refute_1_241,plain,
join(join(X0,X1),X2) = join(X0,join(X1,X2)),
inference(resolve,[$cnf( $equal(join(X0,join(X1,X2)),join(join(X0,X1),X2)) )],[refute_1_228,refute_1_240]) ).
cnf(refute_1_242,plain,
join(join(zero,zero),meet(top,top)) = join(zero,join(zero,meet(top,top))),
inference(subst,[],[refute_1_241:[bind(X0,$fot(zero)),bind(X1,$fot(zero)),bind(X2,$fot(meet(top,top)))]]) ).
cnf(refute_1_243,plain,
( join(join(zero,zero),meet(top,top)) != join(zero,join(zero,meet(top,top)))
| top != join(join(zero,zero),meet(top,top))
| top = join(zero,join(zero,meet(top,top))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(join(zero,zero),meet(top,top))) ),[1],$fot(join(zero,join(zero,meet(top,top))))]]) ).
cnf(refute_1_244,plain,
( top != join(join(zero,zero),meet(top,top))
| top = join(zero,join(zero,meet(top,top))) ),
inference(resolve,[$cnf( $equal(join(join(zero,zero),meet(top,top)),join(zero,join(zero,meet(top,top)))) )],[refute_1_242,refute_1_243]) ).
cnf(refute_1_245,plain,
top = join(zero,join(zero,meet(top,top))),
inference(resolve,[$cnf( $equal(top,join(join(zero,zero),meet(top,top))) )],[refute_1_239,refute_1_244]) ).
cnf(refute_1_246,plain,
( top != join(zero,join(zero,meet(top,top)))
| join(zero,join(zero,meet(top,top))) = top ),
inference(subst,[],[refute_1_5:[bind(X,$fot(top)),bind(Y,$fot(join(zero,join(zero,meet(top,top)))))]]) ).
cnf(refute_1_247,plain,
join(zero,join(zero,meet(top,top))) = top,
inference(resolve,[$cnf( $equal(top,join(zero,join(zero,meet(top,top)))) )],[refute_1_245,refute_1_246]) ).
cnf(refute_1_248,plain,
( join(X_358,join(zero,join(zero,meet(top,top)))) != join(join(X_358,zero),join(zero,meet(top,top)))
| join(zero,join(zero,meet(top,top))) != top
| join(X_358,top) = join(join(X_358,zero),join(zero,meet(top,top))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_358,join(zero,join(zero,meet(top,top)))),join(join(X_358,zero),join(zero,meet(top,top)))) ),[0,1],$fot(top)]]) ).
cnf(refute_1_249,plain,
( join(X_358,join(zero,join(zero,meet(top,top)))) != join(join(X_358,zero),join(zero,meet(top,top)))
| join(X_358,top) = join(join(X_358,zero),join(zero,meet(top,top))) ),
inference(resolve,[$cnf( $equal(join(zero,join(zero,meet(top,top))),top) )],[refute_1_247,refute_1_248]) ).
cnf(refute_1_250,plain,
join(X_358,top) = join(join(X_358,zero),join(zero,meet(top,top))),
inference(resolve,[$cnf( $equal(join(X_358,join(zero,join(zero,meet(top,top)))),join(join(X_358,zero),join(zero,meet(top,top)))) )],[refute_1_229,refute_1_249]) ).
cnf(refute_1_251,plain,
join(X0,join(X_358,X_359)) = join(join(X_358,X_359),X0),
inference(subst,[],[refute_1_2:[bind(X1,$fot(join(X_358,X_359)))]]) ).
cnf(refute_1_252,plain,
join(X_358,join(X_359,X0)) = join(join(X_358,X_359),X0),
inference(subst,[],[refute_1_228:[bind(X0,$fot(X_358)),bind(X1,$fot(X_359)),bind(X2,$fot(X0))]]) ).
cnf(refute_1_253,plain,
( join(X_358,join(X_359,X0)) != join(join(X_358,X_359),X0)
| join(join(X_358,X_359),X0) = join(X_358,join(X_359,X0)) ),
inference(subst,[],[refute_1_5:[bind(X,$fot(join(X_358,join(X_359,X0)))),bind(Y,$fot(join(join(X_358,X_359),X0)))]]) ).
cnf(refute_1_254,plain,
join(join(X_358,X_359),X0) = join(X_358,join(X_359,X0)),
inference(resolve,[$cnf( $equal(join(X_358,join(X_359,X0)),join(join(X_358,X_359),X0)) )],[refute_1_252,refute_1_253]) ).
cnf(refute_1_255,plain,
( join(X0,join(X_358,X_359)) != join(join(X_358,X_359),X0)
| join(join(X_358,X_359),X0) != join(X_358,join(X_359,X0))
| join(X0,join(X_358,X_359)) = join(X_358,join(X_359,X0)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X0,join(X_358,X_359)),join(X_358,join(X_359,X0))) ),[0],$fot(join(join(X_358,X_359),X0))]]) ).
cnf(refute_1_256,plain,
( join(X0,join(X_358,X_359)) != join(join(X_358,X_359),X0)
| join(X0,join(X_358,X_359)) = join(X_358,join(X_359,X0)) ),
inference(resolve,[$cnf( $equal(join(join(X_358,X_359),X0),join(X_358,join(X_359,X0))) )],[refute_1_254,refute_1_255]) ).
cnf(refute_1_257,plain,
join(X0,join(X_358,X_359)) = join(X_358,join(X_359,X0)),
inference(resolve,[$cnf( $equal(join(X0,join(X_358,X_359)),join(join(X_358,X_359),X0)) )],[refute_1_251,refute_1_256]) ).
cnf(refute_1_258,plain,
( join(X0,join(X_358,X_359)) != join(X_358,join(X_359,X0))
| join(X_358,join(X_359,X0)) = join(X0,join(X_358,X_359)) ),
inference(subst,[],[refute_1_5:[bind(X,$fot(join(X0,join(X_358,X_359)))),bind(Y,$fot(join(X_358,join(X_359,X0))))]]) ).
cnf(refute_1_259,plain,
join(X_358,join(X_359,X0)) = join(X0,join(X_358,X_359)),
inference(resolve,[$cnf( $equal(join(X0,join(X_358,X_359)),join(X_358,join(X_359,X0))) )],[refute_1_257,refute_1_258]) ).
cnf(refute_1_260,plain,
join(meet(top,top),join(X_358,zero)) = join(zero,join(meet(top,top),X_358)),
inference(subst,[],[refute_1_259:[bind(X0,$fot(zero)),bind(X_358,$fot(meet(top,top))),bind(X_359,$fot(X_358))]]) ).
cnf(refute_1_261,plain,
join(zero,join(meet(top,top),join(X_358,zero))) = join(zero,join(meet(top,top),join(X_358,zero))),
introduced(tautology,[refl,[$fot(join(zero,join(meet(top,top),join(X_358,zero))))]]) ).
cnf(refute_1_262,plain,
( join(meet(top,top),join(X_358,zero)) != join(zero,join(meet(top,top),X_358))
| join(zero,join(meet(top,top),join(X_358,zero))) != join(zero,join(meet(top,top),join(X_358,zero)))
| join(zero,join(meet(top,top),join(X_358,zero))) = join(zero,join(zero,join(meet(top,top),X_358))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,join(meet(top,top),join(X_358,zero))),join(zero,join(meet(top,top),join(X_358,zero)))) ),[1,1],$fot(join(zero,join(meet(top,top),X_358)))]]) ).
cnf(refute_1_263,plain,
( join(meet(top,top),join(X_358,zero)) != join(zero,join(meet(top,top),X_358))
| join(zero,join(meet(top,top),join(X_358,zero))) = join(zero,join(zero,join(meet(top,top),X_358))) ),
inference(resolve,[$cnf( $equal(join(zero,join(meet(top,top),join(X_358,zero))),join(zero,join(meet(top,top),join(X_358,zero)))) )],[refute_1_261,refute_1_262]) ).
cnf(refute_1_264,plain,
join(zero,join(meet(top,top),join(X_358,zero))) = join(zero,join(zero,join(meet(top,top),X_358))),
inference(resolve,[$cnf( $equal(join(meet(top,top),join(X_358,zero)),join(zero,join(meet(top,top),X_358))) )],[refute_1_260,refute_1_263]) ).
cnf(refute_1_265,plain,
join(join(X_358,zero),join(zero,meet(top,top))) = join(zero,join(meet(top,top),join(X_358,zero))),
inference(subst,[],[refute_1_257:[bind(X0,$fot(join(X_358,zero))),bind(X_358,$fot(zero)),bind(X_359,$fot(meet(top,top)))]]) ).
cnf(refute_1_266,plain,
( join(join(X_358,zero),join(zero,meet(top,top))) != join(zero,join(meet(top,top),join(X_358,zero)))
| join(zero,join(meet(top,top),join(X_358,zero))) != join(zero,join(zero,join(meet(top,top),X_358)))
| join(join(X_358,zero),join(zero,meet(top,top))) = join(zero,join(zero,join(meet(top,top),X_358))) ),
inference(subst,[],[refute_1_10:[bind(X,$fot(join(join(X_358,zero),join(zero,meet(top,top))))),bind(Y,$fot(join(zero,join(meet(top,top),join(X_358,zero))))),bind(Z,$fot(join(zero,join(zero,join(meet(top,top),X_358)))))]]) ).
cnf(refute_1_267,plain,
( join(zero,join(meet(top,top),join(X_358,zero))) != join(zero,join(zero,join(meet(top,top),X_358)))
| join(join(X_358,zero),join(zero,meet(top,top))) = join(zero,join(zero,join(meet(top,top),X_358))) ),
inference(resolve,[$cnf( $equal(join(join(X_358,zero),join(zero,meet(top,top))),join(zero,join(meet(top,top),join(X_358,zero)))) )],[refute_1_265,refute_1_266]) ).
cnf(refute_1_268,plain,
join(join(X_358,zero),join(zero,meet(top,top))) = join(zero,join(zero,join(meet(top,top),X_358))),
inference(resolve,[$cnf( $equal(join(zero,join(meet(top,top),join(X_358,zero))),join(zero,join(zero,join(meet(top,top),X_358)))) )],[refute_1_264,refute_1_267]) ).
cnf(refute_1_269,plain,
( join(X_358,top) != join(join(X_358,zero),join(zero,meet(top,top)))
| join(join(X_358,zero),join(zero,meet(top,top))) != join(zero,join(zero,join(meet(top,top),X_358)))
| join(X_358,top) = join(zero,join(zero,join(meet(top,top),X_358))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_358,top),join(zero,join(zero,join(meet(top,top),X_358)))) ),[0],$fot(join(join(X_358,zero),join(zero,meet(top,top))))]]) ).
cnf(refute_1_270,plain,
( join(X_358,top) != join(join(X_358,zero),join(zero,meet(top,top)))
| join(X_358,top) = join(zero,join(zero,join(meet(top,top),X_358))) ),
inference(resolve,[$cnf( $equal(join(join(X_358,zero),join(zero,meet(top,top))),join(zero,join(zero,join(meet(top,top),X_358)))) )],[refute_1_268,refute_1_269]) ).
cnf(refute_1_271,plain,
join(X_358,top) = join(zero,join(zero,join(meet(top,top),X_358))),
inference(resolve,[$cnf( $equal(join(X_358,top),join(join(X_358,zero),join(zero,meet(top,top)))) )],[refute_1_250,refute_1_270]) ).
cnf(refute_1_272,plain,
join(join(X_372,converse(complement(converse(join(meet(top,top),X_372))))),top) = join(zero,join(zero,join(meet(top,top),join(X_372,converse(complement(converse(join(meet(top,top),X_372)))))))),
inference(subst,[],[refute_1_271:[bind(X_358,$fot(join(X_372,converse(complement(converse(join(meet(top,top),X_372)))))))]]) ).
cnf(refute_1_273,plain,
converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(canonicalize,[],[normalize_1_27]) ).
cnf(refute_1_274,plain,
converse(join(converse(X0),X_330)) = join(converse(converse(X0)),converse(X_330)),
inference(subst,[],[refute_1_273:[bind(X0,$fot(converse(X0))),bind(X1,$fot(X_330))]]) ).
cnf(refute_1_275,plain,
( converse(converse(X0)) != X0
| converse(join(converse(X0),X_330)) != join(converse(converse(X0)),converse(X_330))
| converse(join(converse(X0),X_330)) = join(X0,converse(X_330)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X0),X_330)),join(converse(converse(X0)),converse(X_330))) ),[1,0],$fot(X0)]]) ).
cnf(refute_1_276,plain,
( converse(join(converse(X0),X_330)) != join(converse(converse(X0)),converse(X_330))
| converse(join(converse(X0),X_330)) = join(X0,converse(X_330)) ),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_1_30,refute_1_275]) ).
cnf(refute_1_277,plain,
converse(join(converse(X0),X_330)) = join(X0,converse(X_330)),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),X_330)),join(converse(converse(X0)),converse(X_330))) )],[refute_1_274,refute_1_276]) ).
cnf(refute_1_278,plain,
converse(join(converse(X_342),complement(converse(X_342)))) = join(X_342,converse(complement(converse(X_342)))),
inference(subst,[],[refute_1_277:[bind(X0,$fot(X_342)),bind(X_330,$fot(complement(converse(X_342))))]]) ).
cnf(refute_1_279,plain,
top = join(converse(X_342),complement(converse(X_342))),
inference(subst,[],[refute_1_54:[bind(X0,$fot(converse(X_342)))]]) ).
cnf(refute_1_280,plain,
( top != join(converse(X_342),complement(converse(X_342)))
| join(converse(X_342),complement(converse(X_342))) = top ),
inference(subst,[],[refute_1_5:[bind(X,$fot(top)),bind(Y,$fot(join(converse(X_342),complement(converse(X_342)))))]]) ).
cnf(refute_1_281,plain,
join(converse(X_342),complement(converse(X_342))) = top,
inference(resolve,[$cnf( $equal(top,join(converse(X_342),complement(converse(X_342)))) )],[refute_1_279,refute_1_280]) ).
cnf(refute_1_282,plain,
( converse(join(converse(X_342),complement(converse(X_342)))) != join(X_342,converse(complement(converse(X_342))))
| join(converse(X_342),complement(converse(X_342))) != top
| converse(top) = join(X_342,converse(complement(converse(X_342)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X_342),complement(converse(X_342)))),join(X_342,converse(complement(converse(X_342))))) ),[0,0],$fot(top)]]) ).
cnf(refute_1_283,plain,
( converse(join(converse(X_342),complement(converse(X_342)))) != join(X_342,converse(complement(converse(X_342))))
| converse(top) = join(X_342,converse(complement(converse(X_342)))) ),
inference(resolve,[$cnf( $equal(join(converse(X_342),complement(converse(X_342))),top) )],[refute_1_281,refute_1_282]) ).
cnf(refute_1_284,plain,
converse(top) = join(X_342,converse(complement(converse(X_342)))),
inference(resolve,[$cnf( $equal(converse(join(converse(X_342),complement(converse(X_342)))),join(X_342,converse(complement(converse(X_342))))) )],[refute_1_278,refute_1_283]) ).
cnf(refute_1_285,plain,
converse(top) = join(join(X_358,X_359),converse(complement(converse(join(X_358,X_359))))),
inference(subst,[],[refute_1_284:[bind(X_342,$fot(join(X_358,X_359)))]]) ).
cnf(refute_1_286,plain,
join(X_358,join(X_359,converse(complement(converse(join(X_358,X_359)))))) = join(join(X_358,X_359),converse(complement(converse(join(X_358,X_359))))),
inference(subst,[],[refute_1_228:[bind(X0,$fot(X_358)),bind(X1,$fot(X_359)),bind(X2,$fot(converse(complement(converse(join(X_358,X_359))))))]]) ).
cnf(refute_1_287,plain,
( join(X_358,join(X_359,converse(complement(converse(join(X_358,X_359)))))) != join(join(X_358,X_359),converse(complement(converse(join(X_358,X_359)))))
| join(join(X_358,X_359),converse(complement(converse(join(X_358,X_359))))) = join(X_358,join(X_359,converse(complement(converse(join(X_358,X_359)))))) ),
inference(subst,[],[refute_1_5:[bind(X,$fot(join(X_358,join(X_359,converse(complement(converse(join(X_358,X_359)))))))),bind(Y,$fot(join(join(X_358,X_359),converse(complement(converse(join(X_358,X_359)))))))]]) ).
cnf(refute_1_288,plain,
join(join(X_358,X_359),converse(complement(converse(join(X_358,X_359))))) = join(X_358,join(X_359,converse(complement(converse(join(X_358,X_359)))))),
inference(resolve,[$cnf( $equal(join(X_358,join(X_359,converse(complement(converse(join(X_358,X_359)))))),join(join(X_358,X_359),converse(complement(converse(join(X_358,X_359)))))) )],[refute_1_286,refute_1_287]) ).
cnf(refute_1_289,plain,
( converse(top) != join(join(X_358,X_359),converse(complement(converse(join(X_358,X_359)))))
| join(join(X_358,X_359),converse(complement(converse(join(X_358,X_359))))) != join(X_358,join(X_359,converse(complement(converse(join(X_358,X_359))))))
| converse(top) = join(X_358,join(X_359,converse(complement(converse(join(X_358,X_359)))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(top),join(X_358,join(X_359,converse(complement(converse(join(X_358,X_359))))))) ),[0],$fot(join(join(X_358,X_359),converse(complement(converse(join(X_358,X_359))))))]]) ).
cnf(refute_1_290,plain,
( converse(top) != join(join(X_358,X_359),converse(complement(converse(join(X_358,X_359)))))
| converse(top) = join(X_358,join(X_359,converse(complement(converse(join(X_358,X_359)))))) ),
inference(resolve,[$cnf( $equal(join(join(X_358,X_359),converse(complement(converse(join(X_358,X_359))))),join(X_358,join(X_359,converse(complement(converse(join(X_358,X_359))))))) )],[refute_1_288,refute_1_289]) ).
cnf(refute_1_291,plain,
converse(top) = join(X_358,join(X_359,converse(complement(converse(join(X_358,X_359)))))),
inference(resolve,[$cnf( $equal(converse(top),join(join(X_358,X_359),converse(complement(converse(join(X_358,X_359)))))) )],[refute_1_285,refute_1_290]) ).
cnf(refute_1_292,plain,
converse(top) = join(meet(top,top),join(X_372,converse(complement(converse(join(meet(top,top),X_372)))))),
inference(subst,[],[refute_1_291:[bind(X_358,$fot(meet(top,top))),bind(X_359,$fot(X_372))]]) ).
cnf(refute_1_293,plain,
( converse(top) != join(meet(top,top),join(X_372,converse(complement(converse(join(meet(top,top),X_372))))))
| join(meet(top,top),join(X_372,converse(complement(converse(join(meet(top,top),X_372)))))) = converse(top) ),
inference(subst,[],[refute_1_5:[bind(X,$fot(converse(top))),bind(Y,$fot(join(meet(top,top),join(X_372,converse(complement(converse(join(meet(top,top),X_372))))))))]]) ).
cnf(refute_1_294,plain,
join(meet(top,top),join(X_372,converse(complement(converse(join(meet(top,top),X_372)))))) = converse(top),
inference(resolve,[$cnf( $equal(converse(top),join(meet(top,top),join(X_372,converse(complement(converse(join(meet(top,top),X_372))))))) )],[refute_1_292,refute_1_293]) ).
cnf(refute_1_295,plain,
( join(join(X_372,converse(complement(converse(join(meet(top,top),X_372))))),top) != join(zero,join(zero,join(meet(top,top),join(X_372,converse(complement(converse(join(meet(top,top),X_372))))))))
| join(meet(top,top),join(X_372,converse(complement(converse(join(meet(top,top),X_372)))))) != converse(top)
| join(join(X_372,converse(complement(converse(join(meet(top,top),X_372))))),top) = join(zero,join(zero,converse(top))) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(X_372,converse(complement(converse(join(meet(top,top),X_372))))),top),join(zero,join(zero,join(meet(top,top),join(X_372,converse(complement(converse(join(meet(top,top),X_372))))))))) ),[1,1,1],$fot(converse(top))]]) ).
cnf(refute_1_296,plain,
( join(join(X_372,converse(complement(converse(join(meet(top,top),X_372))))),top) != join(zero,join(zero,join(meet(top,top),join(X_372,converse(complement(converse(join(meet(top,top),X_372))))))))
| join(join(X_372,converse(complement(converse(join(meet(top,top),X_372))))),top) = join(zero,join(zero,converse(top))) ),
inference(resolve,[$cnf( $equal(join(meet(top,top),join(X_372,converse(complement(converse(join(meet(top,top),X_372)))))),converse(top)) )],[refute_1_294,refute_1_295]) ).
cnf(refute_1_297,plain,
join(join(X_372,converse(complement(converse(join(meet(top,top),X_372))))),top) = join(zero,join(zero,converse(top))),
inference(resolve,[$cnf( $equal(join(join(X_372,converse(complement(converse(join(meet(top,top),X_372))))),top),join(zero,join(zero,join(meet(top,top),join(X_372,converse(complement(converse(join(meet(top,top),X_372))))))))) )],[refute_1_272,refute_1_296]) ).
cnf(refute_1_298,plain,
join(zero,join(join(zero,join(meet(top,top),X_362)),X2)) = join(join(zero,join(zero,join(meet(top,top),X_362))),X2),
inference(subst,[],[refute_1_228:[bind(X0,$fot(zero)),bind(X1,$fot(join(zero,join(meet(top,top),X_362))))]]) ).
cnf(refute_1_299,plain,
join(X_362,top) = join(zero,join(zero,join(meet(top,top),X_362))),
inference(subst,[],[refute_1_271:[bind(X_358,$fot(X_362))]]) ).
cnf(refute_1_300,plain,
( join(X_362,top) != join(zero,join(zero,join(meet(top,top),X_362)))
| join(zero,join(zero,join(meet(top,top),X_362))) = join(X_362,top) ),
inference(subst,[],[refute_1_5:[bind(X,$fot(join(X_362,top))),bind(Y,$fot(join(zero,join(zero,join(meet(top,top),X_362)))))]]) ).
cnf(refute_1_301,plain,
join(zero,join(zero,join(meet(top,top),X_362))) = join(X_362,top),
inference(resolve,[$cnf( $equal(join(X_362,top),join(zero,join(zero,join(meet(top,top),X_362)))) )],[refute_1_299,refute_1_300]) ).
cnf(refute_1_302,plain,
( join(zero,join(join(zero,join(meet(top,top),X_362)),X2)) != join(join(zero,join(zero,join(meet(top,top),X_362))),X2)
| join(zero,join(zero,join(meet(top,top),X_362))) != join(X_362,top)
| join(zero,join(join(zero,join(meet(top,top),X_362)),X2)) = join(join(X_362,top),X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,join(join(zero,join(meet(top,top),X_362)),X2)),join(join(zero,join(zero,join(meet(top,top),X_362))),X2)) ),[1,0],$fot(join(X_362,top))]]) ).
cnf(refute_1_303,plain,
( join(zero,join(join(zero,join(meet(top,top),X_362)),X2)) != join(join(zero,join(zero,join(meet(top,top),X_362))),X2)
| join(zero,join(join(zero,join(meet(top,top),X_362)),X2)) = join(join(X_362,top),X2) ),
inference(resolve,[$cnf( $equal(join(zero,join(zero,join(meet(top,top),X_362))),join(X_362,top)) )],[refute_1_301,refute_1_302]) ).
cnf(refute_1_304,plain,
join(zero,join(join(zero,join(meet(top,top),X_362)),X2)) = join(join(X_362,top),X2),
inference(resolve,[$cnf( $equal(join(zero,join(join(zero,join(meet(top,top),X_362)),X2)),join(join(zero,join(zero,join(meet(top,top),X_362))),X2)) )],[refute_1_298,refute_1_303]) ).
cnf(refute_1_305,plain,
join(join(X_362,X2),top) = join(X_362,join(X2,top)),
inference(subst,[],[refute_1_241:[bind(X0,$fot(X_362)),bind(X1,$fot(X2)),bind(X2,$fot(top))]]) ).
cnf(refute_1_306,plain,
( join(X_358,top) != join(zero,join(zero,join(meet(top,top),X_358)))
| join(zero,join(zero,join(meet(top,top),X_358))) = join(X_358,top) ),
inference(subst,[],[refute_1_5:[bind(X,$fot(join(X_358,top))),bind(Y,$fot(join(zero,join(zero,join(meet(top,top),X_358)))))]]) ).
cnf(refute_1_307,plain,
join(zero,join(zero,join(meet(top,top),X_358))) = join(X_358,top),
inference(resolve,[$cnf( $equal(join(X_358,top),join(zero,join(zero,join(meet(top,top),X_358)))) )],[refute_1_271,refute_1_306]) ).
cnf(refute_1_308,plain,
join(zero,join(zero,join(meet(top,top),join(X_362,X2)))) = join(join(X_362,X2),top),
inference(subst,[],[refute_1_307:[bind(X_358,$fot(join(X_362,X2)))]]) ).
cnf(refute_1_309,plain,
( join(join(X_362,X2),top) != join(X_362,join(X2,top))
| join(zero,join(zero,join(meet(top,top),join(X_362,X2)))) != join(join(X_362,X2),top)
| join(zero,join(zero,join(meet(top,top),join(X_362,X2)))) = join(X_362,join(X2,top)) ),
inference(subst,[],[refute_1_10:[bind(X,$fot(join(zero,join(zero,join(meet(top,top),join(X_362,X2)))))),bind(Y,$fot(join(join(X_362,X2),top))),bind(Z,$fot(join(X_362,join(X2,top))))]]) ).
cnf(refute_1_310,plain,
( join(join(X_362,X2),top) != join(X_362,join(X2,top))
| join(zero,join(zero,join(meet(top,top),join(X_362,X2)))) = join(X_362,join(X2,top)) ),
inference(resolve,[$cnf( $equal(join(zero,join(zero,join(meet(top,top),join(X_362,X2)))),join(join(X_362,X2),top)) )],[refute_1_308,refute_1_309]) ).
cnf(refute_1_311,plain,
join(zero,join(zero,join(meet(top,top),join(X_362,X2)))) = join(X_362,join(X2,top)),
inference(resolve,[$cnf( $equal(join(join(X_362,X2),top),join(X_362,join(X2,top))) )],[refute_1_305,refute_1_310]) ).
cnf(refute_1_312,plain,
join(join(meet(top,top),X_362),X2) = join(meet(top,top),join(X_362,X2)),
inference(subst,[],[refute_1_241:[bind(X0,$fot(meet(top,top))),bind(X1,$fot(X_362))]]) ).
cnf(refute_1_313,plain,
join(zero,join(join(meet(top,top),X_362),X2)) = join(zero,join(join(meet(top,top),X_362),X2)),
introduced(tautology,[refl,[$fot(join(zero,join(join(meet(top,top),X_362),X2)))]]) ).
cnf(refute_1_314,plain,
( join(join(meet(top,top),X_362),X2) != join(meet(top,top),join(X_362,X2))
| join(zero,join(join(meet(top,top),X_362),X2)) != join(zero,join(join(meet(top,top),X_362),X2))
| join(zero,join(join(meet(top,top),X_362),X2)) = join(zero,join(meet(top,top),join(X_362,X2))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,join(join(meet(top,top),X_362),X2)),join(zero,join(join(meet(top,top),X_362),X2))) ),[1,1],$fot(join(meet(top,top),join(X_362,X2)))]]) ).
cnf(refute_1_315,plain,
( join(join(meet(top,top),X_362),X2) != join(meet(top,top),join(X_362,X2))
| join(zero,join(join(meet(top,top),X_362),X2)) = join(zero,join(meet(top,top),join(X_362,X2))) ),
inference(resolve,[$cnf( $equal(join(zero,join(join(meet(top,top),X_362),X2)),join(zero,join(join(meet(top,top),X_362),X2))) )],[refute_1_313,refute_1_314]) ).
cnf(refute_1_316,plain,
join(zero,join(join(meet(top,top),X_362),X2)) = join(zero,join(meet(top,top),join(X_362,X2))),
inference(resolve,[$cnf( $equal(join(join(meet(top,top),X_362),X2),join(meet(top,top),join(X_362,X2))) )],[refute_1_312,refute_1_315]) ).
cnf(refute_1_317,plain,
join(join(zero,join(meet(top,top),X_362)),X2) = join(zero,join(join(meet(top,top),X_362),X2)),
inference(subst,[],[refute_1_241:[bind(X0,$fot(zero)),bind(X1,$fot(join(meet(top,top),X_362)))]]) ).
cnf(refute_1_318,plain,
( join(join(zero,join(meet(top,top),X_362)),X2) != join(zero,join(join(meet(top,top),X_362),X2))
| join(zero,join(join(meet(top,top),X_362),X2)) != join(zero,join(meet(top,top),join(X_362,X2)))
| join(join(zero,join(meet(top,top),X_362)),X2) = join(zero,join(meet(top,top),join(X_362,X2))) ),
inference(subst,[],[refute_1_10:[bind(X,$fot(join(join(zero,join(meet(top,top),X_362)),X2))),bind(Y,$fot(join(zero,join(join(meet(top,top),X_362),X2)))),bind(Z,$fot(join(zero,join(meet(top,top),join(X_362,X2)))))]]) ).
cnf(refute_1_319,plain,
( join(zero,join(join(meet(top,top),X_362),X2)) != join(zero,join(meet(top,top),join(X_362,X2)))
| join(join(zero,join(meet(top,top),X_362)),X2) = join(zero,join(meet(top,top),join(X_362,X2))) ),
inference(resolve,[$cnf( $equal(join(join(zero,join(meet(top,top),X_362)),X2),join(zero,join(join(meet(top,top),X_362),X2))) )],[refute_1_317,refute_1_318]) ).
cnf(refute_1_320,plain,
join(join(zero,join(meet(top,top),X_362)),X2) = join(zero,join(meet(top,top),join(X_362,X2))),
inference(resolve,[$cnf( $equal(join(zero,join(join(meet(top,top),X_362),X2)),join(zero,join(meet(top,top),join(X_362,X2)))) )],[refute_1_316,refute_1_319]) ).
cnf(refute_1_321,plain,
join(zero,join(join(zero,join(meet(top,top),X_362)),X2)) = join(zero,join(join(zero,join(meet(top,top),X_362)),X2)),
introduced(tautology,[refl,[$fot(join(zero,join(join(zero,join(meet(top,top),X_362)),X2)))]]) ).
cnf(refute_1_322,plain,
( join(join(zero,join(meet(top,top),X_362)),X2) != join(zero,join(meet(top,top),join(X_362,X2)))
| join(zero,join(join(zero,join(meet(top,top),X_362)),X2)) != join(zero,join(join(zero,join(meet(top,top),X_362)),X2))
| join(zero,join(join(zero,join(meet(top,top),X_362)),X2)) = join(zero,join(zero,join(meet(top,top),join(X_362,X2)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,join(join(zero,join(meet(top,top),X_362)),X2)),join(zero,join(join(zero,join(meet(top,top),X_362)),X2))) ),[1,1],$fot(join(zero,join(meet(top,top),join(X_362,X2))))]]) ).
cnf(refute_1_323,plain,
( join(join(zero,join(meet(top,top),X_362)),X2) != join(zero,join(meet(top,top),join(X_362,X2)))
| join(zero,join(join(zero,join(meet(top,top),X_362)),X2)) = join(zero,join(zero,join(meet(top,top),join(X_362,X2)))) ),
inference(resolve,[$cnf( $equal(join(zero,join(join(zero,join(meet(top,top),X_362)),X2)),join(zero,join(join(zero,join(meet(top,top),X_362)),X2))) )],[refute_1_321,refute_1_322]) ).
cnf(refute_1_324,plain,
join(zero,join(join(zero,join(meet(top,top),X_362)),X2)) = join(zero,join(zero,join(meet(top,top),join(X_362,X2)))),
inference(resolve,[$cnf( $equal(join(join(zero,join(meet(top,top),X_362)),X2),join(zero,join(meet(top,top),join(X_362,X2)))) )],[refute_1_320,refute_1_323]) ).
cnf(refute_1_325,plain,
( join(zero,join(join(zero,join(meet(top,top),X_362)),X2)) != join(zero,join(zero,join(meet(top,top),join(X_362,X2))))
| join(zero,join(zero,join(meet(top,top),join(X_362,X2)))) != join(X_362,join(X2,top))
| join(zero,join(join(zero,join(meet(top,top),X_362)),X2)) = join(X_362,join(X2,top)) ),
inference(subst,[],[refute_1_10:[bind(X,$fot(join(zero,join(join(zero,join(meet(top,top),X_362)),X2)))),bind(Y,$fot(join(zero,join(zero,join(meet(top,top),join(X_362,X2)))))),bind(Z,$fot(join(X_362,join(X2,top))))]]) ).
cnf(refute_1_326,plain,
( join(zero,join(zero,join(meet(top,top),join(X_362,X2)))) != join(X_362,join(X2,top))
| join(zero,join(join(zero,join(meet(top,top),X_362)),X2)) = join(X_362,join(X2,top)) ),
inference(resolve,[$cnf( $equal(join(zero,join(join(zero,join(meet(top,top),X_362)),X2)),join(zero,join(zero,join(meet(top,top),join(X_362,X2))))) )],[refute_1_324,refute_1_325]) ).
cnf(refute_1_327,plain,
join(zero,join(join(zero,join(meet(top,top),X_362)),X2)) = join(X_362,join(X2,top)),
inference(resolve,[$cnf( $equal(join(zero,join(zero,join(meet(top,top),join(X_362,X2)))),join(X_362,join(X2,top))) )],[refute_1_311,refute_1_326]) ).
cnf(refute_1_328,plain,
( join(zero,join(join(zero,join(meet(top,top),X_362)),X2)) != join(X_362,join(X2,top))
| join(zero,join(join(zero,join(meet(top,top),X_362)),X2)) != join(join(X_362,top),X2)
| join(X_362,join(X2,top)) = join(join(X_362,top),X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,join(join(zero,join(meet(top,top),X_362)),X2)),join(join(X_362,top),X2)) ),[0],$fot(join(X_362,join(X2,top)))]]) ).
cnf(refute_1_329,plain,
( join(zero,join(join(zero,join(meet(top,top),X_362)),X2)) != join(join(X_362,top),X2)
| join(X_362,join(X2,top)) = join(join(X_362,top),X2) ),
inference(resolve,[$cnf( $equal(join(zero,join(join(zero,join(meet(top,top),X_362)),X2)),join(X_362,join(X2,top))) )],[refute_1_327,refute_1_328]) ).
cnf(refute_1_330,plain,
join(join(X_362,top),X2) = join(X_362,join(top,X2)),
inference(subst,[],[refute_1_241:[bind(X0,$fot(X_362)),bind(X1,$fot(top))]]) ).
cnf(refute_1_331,plain,
( join(X_362,join(X2,top)) != join(join(X_362,top),X2)
| join(join(X_362,top),X2) != join(X_362,join(top,X2))
| join(X_362,join(X2,top)) = join(X_362,join(top,X2)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_362,join(X2,top)),join(X_362,join(top,X2))) ),[0],$fot(join(join(X_362,top),X2))]]) ).
cnf(refute_1_332,plain,
( join(X_362,join(X2,top)) != join(join(X_362,top),X2)
| join(X_362,join(X2,top)) = join(X_362,join(top,X2)) ),
inference(resolve,[$cnf( $equal(join(join(X_362,top),X2),join(X_362,join(top,X2))) )],[refute_1_330,refute_1_331]) ).
cnf(refute_1_333,plain,
( join(zero,join(join(zero,join(meet(top,top),X_362)),X2)) != join(join(X_362,top),X2)
| join(X_362,join(X2,top)) = join(X_362,join(top,X2)) ),
inference(resolve,[$cnf( $equal(join(X_362,join(X2,top)),join(join(X_362,top),X2)) )],[refute_1_329,refute_1_332]) ).
cnf(refute_1_334,plain,
join(X_362,join(X2,top)) = join(X_362,join(top,X2)),
inference(resolve,[$cnf( $equal(join(zero,join(join(zero,join(meet(top,top),X_362)),X2)),join(join(X_362,top),X2)) )],[refute_1_304,refute_1_333]) ).
cnf(refute_1_335,plain,
join(X_372,join(converse(complement(converse(join(meet(top,top),X_372)))),top)) = join(X_372,join(top,converse(complement(converse(join(meet(top,top),X_372)))))),
inference(subst,[],[refute_1_334:[bind(X2,$fot(converse(complement(converse(join(meet(top,top),X_372)))))),bind(X_362,$fot(X_372))]]) ).
cnf(refute_1_336,plain,
join(join(X_372,converse(complement(converse(join(meet(top,top),X_372))))),top) = join(X_372,join(converse(complement(converse(join(meet(top,top),X_372)))),top)),
inference(subst,[],[refute_1_241:[bind(X0,$fot(X_372)),bind(X1,$fot(converse(complement(converse(join(meet(top,top),X_372)))))),bind(X2,$fot(top))]]) ).
cnf(refute_1_337,plain,
( join(X_372,join(converse(complement(converse(join(meet(top,top),X_372)))),top)) != join(X_372,join(top,converse(complement(converse(join(meet(top,top),X_372))))))
| join(join(X_372,converse(complement(converse(join(meet(top,top),X_372))))),top) != join(X_372,join(converse(complement(converse(join(meet(top,top),X_372)))),top))
| join(join(X_372,converse(complement(converse(join(meet(top,top),X_372))))),top) = join(X_372,join(top,converse(complement(converse(join(meet(top,top),X_372)))))) ),
inference(subst,[],[refute_1_10:[bind(X,$fot(join(join(X_372,converse(complement(converse(join(meet(top,top),X_372))))),top))),bind(Y,$fot(join(X_372,join(converse(complement(converse(join(meet(top,top),X_372)))),top)))),bind(Z,$fot(join(X_372,join(top,converse(complement(converse(join(meet(top,top),X_372))))))))]]) ).
cnf(refute_1_338,plain,
( join(X_372,join(converse(complement(converse(join(meet(top,top),X_372)))),top)) != join(X_372,join(top,converse(complement(converse(join(meet(top,top),X_372))))))
| join(join(X_372,converse(complement(converse(join(meet(top,top),X_372))))),top) = join(X_372,join(top,converse(complement(converse(join(meet(top,top),X_372)))))) ),
inference(resolve,[$cnf( $equal(join(join(X_372,converse(complement(converse(join(meet(top,top),X_372))))),top),join(X_372,join(converse(complement(converse(join(meet(top,top),X_372)))),top))) )],[refute_1_336,refute_1_337]) ).
cnf(refute_1_339,plain,
join(join(X_372,converse(complement(converse(join(meet(top,top),X_372))))),top) = join(X_372,join(top,converse(complement(converse(join(meet(top,top),X_372)))))),
inference(resolve,[$cnf( $equal(join(X_372,join(converse(complement(converse(join(meet(top,top),X_372)))),top)),join(X_372,join(top,converse(complement(converse(join(meet(top,top),X_372))))))) )],[refute_1_335,refute_1_338]) ).
cnf(refute_1_340,plain,
( join(join(X_372,converse(complement(converse(join(meet(top,top),X_372))))),top) != join(X_372,join(top,converse(complement(converse(join(meet(top,top),X_372))))))
| join(join(X_372,converse(complement(converse(join(meet(top,top),X_372))))),top) != join(zero,join(zero,converse(top)))
| join(X_372,join(top,converse(complement(converse(join(meet(top,top),X_372)))))) = join(zero,join(zero,converse(top))) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(X_372,converse(complement(converse(join(meet(top,top),X_372))))),top),join(zero,join(zero,converse(top)))) ),[0],$fot(join(X_372,join(top,converse(complement(converse(join(meet(top,top),X_372)))))))]]) ).
cnf(refute_1_341,plain,
( join(join(X_372,converse(complement(converse(join(meet(top,top),X_372))))),top) != join(zero,join(zero,converse(top)))
| join(X_372,join(top,converse(complement(converse(join(meet(top,top),X_372)))))) = join(zero,join(zero,converse(top))) ),
inference(resolve,[$cnf( $equal(join(join(X_372,converse(complement(converse(join(meet(top,top),X_372))))),top),join(X_372,join(top,converse(complement(converse(join(meet(top,top),X_372))))))) )],[refute_1_339,refute_1_340]) ).
cnf(refute_1_342,plain,
join(top,join(zero,X_360)) = join(join(top,zero),X_360),
inference(subst,[],[refute_1_228:[bind(X0,$fot(top)),bind(X1,$fot(zero)),bind(X2,$fot(X_360))]]) ).
cnf(refute_1_343,plain,
top = join(top,complement(top)),
inference(subst,[],[refute_1_54:[bind(X0,$fot(top))]]) ).
cnf(refute_1_344,plain,
( complement(top) != zero
| top != join(top,complement(top))
| top = join(top,zero) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(top,complement(top))) ),[1,1],$fot(zero)]]) ).
cnf(refute_1_345,plain,
( top != join(top,complement(top))
| top = join(top,zero) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_1_74,refute_1_344]) ).
cnf(refute_1_346,plain,
top = join(top,zero),
inference(resolve,[$cnf( $equal(top,join(top,complement(top))) )],[refute_1_343,refute_1_345]) ).
cnf(refute_1_347,plain,
( top != join(top,zero)
| join(top,zero) = top ),
inference(subst,[],[refute_1_5:[bind(X,$fot(top)),bind(Y,$fot(join(top,zero)))]]) ).
cnf(refute_1_348,plain,
join(top,zero) = top,
inference(resolve,[$cnf( $equal(top,join(top,zero)) )],[refute_1_346,refute_1_347]) ).
cnf(refute_1_349,plain,
( join(top,join(zero,X_360)) != join(join(top,zero),X_360)
| join(top,zero) != top
| join(top,join(zero,X_360)) = join(top,X_360) ),
introduced(tautology,[equality,[$cnf( $equal(join(top,join(zero,X_360)),join(join(top,zero),X_360)) ),[1,0],$fot(top)]]) ).
cnf(refute_1_350,plain,
( join(top,join(zero,X_360)) != join(join(top,zero),X_360)
| join(top,join(zero,X_360)) = join(top,X_360) ),
inference(resolve,[$cnf( $equal(join(top,zero),top) )],[refute_1_348,refute_1_349]) ).
cnf(refute_1_351,plain,
join(top,join(zero,X_360)) = join(top,X_360),
inference(resolve,[$cnf( $equal(join(top,join(zero,X_360)),join(join(top,zero),X_360)) )],[refute_1_342,refute_1_350]) ).
cnf(refute_1_352,plain,
join(top,join(zero,X_361)) = join(top,X_361),
inference(subst,[],[refute_1_351:[bind(X_360,$fot(X_361))]]) ).
cnf(refute_1_353,plain,
join(X_361,zero) = join(zero,X_361),
inference(subst,[],[refute_1_2:[bind(X0,$fot(X_361)),bind(X1,$fot(zero))]]) ).
cnf(refute_1_354,plain,
( join(X_361,zero) != join(zero,X_361)
| join(zero,X_361) = join(X_361,zero) ),
inference(subst,[],[refute_1_5:[bind(X,$fot(join(X_361,zero))),bind(Y,$fot(join(zero,X_361)))]]) ).
cnf(refute_1_355,plain,
join(zero,X_361) = join(X_361,zero),
inference(resolve,[$cnf( $equal(join(X_361,zero),join(zero,X_361)) )],[refute_1_353,refute_1_354]) ).
cnf(refute_1_356,plain,
( join(top,join(zero,X_361)) != join(top,X_361)
| join(zero,X_361) != join(X_361,zero)
| join(top,join(X_361,zero)) = join(top,X_361) ),
introduced(tautology,[equality,[$cnf( $equal(join(top,join(zero,X_361)),join(top,X_361)) ),[0,1],$fot(join(X_361,zero))]]) ).
cnf(refute_1_357,plain,
( join(top,join(zero,X_361)) != join(top,X_361)
| join(top,join(X_361,zero)) = join(top,X_361) ),
inference(resolve,[$cnf( $equal(join(zero,X_361),join(X_361,zero)) )],[refute_1_355,refute_1_356]) ).
cnf(refute_1_358,plain,
join(top,join(X_361,zero)) = join(top,X_361),
inference(resolve,[$cnf( $equal(join(top,join(zero,X_361)),join(top,X_361)) )],[refute_1_352,refute_1_357]) ).
cnf(refute_1_359,plain,
join(top,join(converse(join(complement(converse(meet(top,top))),complement(join(top,converse(join(zero,zero)))))),zero)) = join(top,converse(join(complement(converse(meet(top,top))),complement(join(top,converse(join(zero,zero))))))),
inference(subst,[],[refute_1_358:[bind(X_361,$fot(converse(join(complement(converse(meet(top,top))),complement(join(top,converse(join(zero,zero))))))))]]) ).
cnf(refute_1_360,plain,
converse(top) = join(join(X_329,converse(X0)),converse(complement(converse(join(X_329,converse(X0)))))),
inference(subst,[],[refute_1_284:[bind(X_342,$fot(join(X_329,converse(X0))))]]) ).
cnf(refute_1_361,plain,
converse(join(X_329,converse(X0))) = join(converse(X_329),converse(converse(X0))),
inference(subst,[],[refute_1_273:[bind(X0,$fot(X_329)),bind(X1,$fot(converse(X0)))]]) ).
cnf(refute_1_362,plain,
( converse(converse(X0)) != X0
| converse(join(X_329,converse(X0))) != join(converse(X_329),converse(converse(X0)))
| converse(join(X_329,converse(X0))) = join(converse(X_329),X0) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X_329,converse(X0))),join(converse(X_329),converse(converse(X0)))) ),[1,1],$fot(X0)]]) ).
cnf(refute_1_363,plain,
( converse(join(X_329,converse(X0))) != join(converse(X_329),converse(converse(X0)))
| converse(join(X_329,converse(X0))) = join(converse(X_329),X0) ),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_1_30,refute_1_362]) ).
cnf(refute_1_364,plain,
converse(join(X_329,converse(X0))) = join(converse(X_329),X0),
inference(resolve,[$cnf( $equal(converse(join(X_329,converse(X0))),join(converse(X_329),converse(converse(X0)))) )],[refute_1_361,refute_1_363]) ).
cnf(refute_1_365,plain,
( converse(join(X_329,converse(X0))) != join(converse(X_329),X0)
| converse(top) != join(join(X_329,converse(X0)),converse(complement(converse(join(X_329,converse(X0))))))
| converse(top) = join(join(X_329,converse(X0)),converse(complement(join(converse(X_329),X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(top),join(join(X_329,converse(X0)),converse(complement(converse(join(X_329,converse(X0))))))) ),[1,1,0,0],$fot(join(converse(X_329),X0))]]) ).
cnf(refute_1_366,plain,
( converse(top) != join(join(X_329,converse(X0)),converse(complement(converse(join(X_329,converse(X0))))))
| converse(top) = join(join(X_329,converse(X0)),converse(complement(join(converse(X_329),X0)))) ),
inference(resolve,[$cnf( $equal(converse(join(X_329,converse(X0))),join(converse(X_329),X0)) )],[refute_1_364,refute_1_365]) ).
cnf(refute_1_367,plain,
converse(top) = join(join(X_329,converse(X0)),converse(complement(join(converse(X_329),X0)))),
inference(resolve,[$cnf( $equal(converse(top),join(join(X_329,converse(X0)),converse(complement(converse(join(X_329,converse(X0))))))) )],[refute_1_360,refute_1_366]) ).
cnf(refute_1_368,plain,
( converse(join(X0,X1)) != join(converse(X0),converse(X1))
| join(converse(X0),converse(X1)) = converse(join(X0,X1)) ),
inference(subst,[],[refute_1_5:[bind(X,$fot(converse(join(X0,X1)))),bind(Y,$fot(join(converse(X0),converse(X1))))]]) ).
cnf(refute_1_369,plain,
join(converse(X0),converse(X1)) = converse(join(X0,X1)),
inference(resolve,[$cnf( $equal(converse(join(X0,X1)),join(converse(X0),converse(X1))) )],[refute_1_273,refute_1_368]) ).
cnf(refute_1_370,plain,
join(converse(X0),converse(complement(join(converse(X_329),X0)))) = converse(join(X0,complement(join(converse(X_329),X0)))),
inference(subst,[],[refute_1_369:[bind(X1,$fot(complement(join(converse(X_329),X0))))]]) ).
cnf(refute_1_371,plain,
join(X_329,join(converse(X0),converse(complement(join(converse(X_329),X0))))) = join(X_329,join(converse(X0),converse(complement(join(converse(X_329),X0))))),
introduced(tautology,[refl,[$fot(join(X_329,join(converse(X0),converse(complement(join(converse(X_329),X0))))))]]) ).
cnf(refute_1_372,plain,
( join(X_329,join(converse(X0),converse(complement(join(converse(X_329),X0))))) != join(X_329,join(converse(X0),converse(complement(join(converse(X_329),X0)))))
| join(converse(X0),converse(complement(join(converse(X_329),X0)))) != converse(join(X0,complement(join(converse(X_329),X0))))
| join(X_329,join(converse(X0),converse(complement(join(converse(X_329),X0))))) = join(X_329,converse(join(X0,complement(join(converse(X_329),X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_329,join(converse(X0),converse(complement(join(converse(X_329),X0))))),join(X_329,join(converse(X0),converse(complement(join(converse(X_329),X0)))))) ),[1,1],$fot(converse(join(X0,complement(join(converse(X_329),X0)))))]]) ).
cnf(refute_1_373,plain,
( join(converse(X0),converse(complement(join(converse(X_329),X0)))) != converse(join(X0,complement(join(converse(X_329),X0))))
| join(X_329,join(converse(X0),converse(complement(join(converse(X_329),X0))))) = join(X_329,converse(join(X0,complement(join(converse(X_329),X0))))) ),
inference(resolve,[$cnf( $equal(join(X_329,join(converse(X0),converse(complement(join(converse(X_329),X0))))),join(X_329,join(converse(X0),converse(complement(join(converse(X_329),X0)))))) )],[refute_1_371,refute_1_372]) ).
cnf(refute_1_374,plain,
join(X_329,join(converse(X0),converse(complement(join(converse(X_329),X0))))) = join(X_329,converse(join(X0,complement(join(converse(X_329),X0))))),
inference(resolve,[$cnf( $equal(join(converse(X0),converse(complement(join(converse(X_329),X0)))),converse(join(X0,complement(join(converse(X_329),X0))))) )],[refute_1_370,refute_1_373]) ).
cnf(refute_1_375,plain,
join(join(X_329,converse(X0)),converse(complement(join(converse(X_329),X0)))) = join(X_329,join(converse(X0),converse(complement(join(converse(X_329),X0))))),
inference(subst,[],[refute_1_241:[bind(X0,$fot(X_329)),bind(X1,$fot(converse(X0))),bind(X2,$fot(converse(complement(join(converse(X_329),X0)))))]]) ).
cnf(refute_1_376,plain,
( join(X_329,join(converse(X0),converse(complement(join(converse(X_329),X0))))) != join(X_329,converse(join(X0,complement(join(converse(X_329),X0)))))
| join(join(X_329,converse(X0)),converse(complement(join(converse(X_329),X0)))) != join(X_329,join(converse(X0),converse(complement(join(converse(X_329),X0)))))
| join(join(X_329,converse(X0)),converse(complement(join(converse(X_329),X0)))) = join(X_329,converse(join(X0,complement(join(converse(X_329),X0))))) ),
inference(subst,[],[refute_1_10:[bind(X,$fot(join(join(X_329,converse(X0)),converse(complement(join(converse(X_329),X0)))))),bind(Y,$fot(join(X_329,join(converse(X0),converse(complement(join(converse(X_329),X0))))))),bind(Z,$fot(join(X_329,converse(join(X0,complement(join(converse(X_329),X0)))))))]]) ).
cnf(refute_1_377,plain,
( join(X_329,join(converse(X0),converse(complement(join(converse(X_329),X0))))) != join(X_329,converse(join(X0,complement(join(converse(X_329),X0)))))
| join(join(X_329,converse(X0)),converse(complement(join(converse(X_329),X0)))) = join(X_329,converse(join(X0,complement(join(converse(X_329),X0))))) ),
inference(resolve,[$cnf( $equal(join(join(X_329,converse(X0)),converse(complement(join(converse(X_329),X0)))),join(X_329,join(converse(X0),converse(complement(join(converse(X_329),X0)))))) )],[refute_1_375,refute_1_376]) ).
cnf(refute_1_378,plain,
join(join(X_329,converse(X0)),converse(complement(join(converse(X_329),X0)))) = join(X_329,converse(join(X0,complement(join(converse(X_329),X0))))),
inference(resolve,[$cnf( $equal(join(X_329,join(converse(X0),converse(complement(join(converse(X_329),X0))))),join(X_329,converse(join(X0,complement(join(converse(X_329),X0)))))) )],[refute_1_374,refute_1_377]) ).
cnf(refute_1_379,plain,
( converse(top) != join(join(X_329,converse(X0)),converse(complement(join(converse(X_329),X0))))
| join(join(X_329,converse(X0)),converse(complement(join(converse(X_329),X0)))) != join(X_329,converse(join(X0,complement(join(converse(X_329),X0)))))
| converse(top) = join(X_329,converse(join(X0,complement(join(converse(X_329),X0))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(top),join(X_329,converse(join(X0,complement(join(converse(X_329),X0)))))) ),[0],$fot(join(join(X_329,converse(X0)),converse(complement(join(converse(X_329),X0)))))]]) ).
cnf(refute_1_380,plain,
( converse(top) != join(join(X_329,converse(X0)),converse(complement(join(converse(X_329),X0))))
| converse(top) = join(X_329,converse(join(X0,complement(join(converse(X_329),X0))))) ),
inference(resolve,[$cnf( $equal(join(join(X_329,converse(X0)),converse(complement(join(converse(X_329),X0)))),join(X_329,converse(join(X0,complement(join(converse(X_329),X0)))))) )],[refute_1_378,refute_1_379]) ).
cnf(refute_1_381,plain,
converse(top) = join(X_329,converse(join(X0,complement(join(converse(X_329),X0))))),
inference(resolve,[$cnf( $equal(converse(top),join(join(X_329,converse(X0)),converse(complement(join(converse(X_329),X0))))) )],[refute_1_367,refute_1_380]) ).
cnf(refute_1_382,plain,
converse(top) = join(top,converse(join(complement(converse(meet(top,top))),complement(join(converse(top),complement(converse(meet(top,top)))))))),
inference(subst,[],[refute_1_381:[bind(X0,$fot(complement(converse(meet(top,top))))),bind(X_329,$fot(top))]]) ).
cnf(refute_1_383,plain,
join(converse(X0),converse(X1)) = join(converse(X1),converse(X0)),
inference(subst,[],[refute_1_2:[bind(X0,$fot(converse(X0))),bind(X1,$fot(converse(X1)))]]) ).
cnf(refute_1_384,plain,
( converse(join(X0,X1)) != join(converse(X0),converse(X1))
| join(converse(X0),converse(X1)) != join(converse(X1),converse(X0))
| converse(join(X0,X1)) = join(converse(X1),converse(X0)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(join(X0,X1)),join(converse(X1),converse(X0))) ),[0],$fot(join(converse(X0),converse(X1)))]]) ).
cnf(refute_1_385,plain,
( converse(join(X0,X1)) != join(converse(X0),converse(X1))
| converse(join(X0,X1)) = join(converse(X1),converse(X0)) ),
inference(resolve,[$cnf( $equal(join(converse(X0),converse(X1)),join(converse(X1),converse(X0))) )],[refute_1_383,refute_1_384]) ).
cnf(refute_1_386,plain,
converse(join(X0,X1)) = join(converse(X1),converse(X0)),
inference(resolve,[$cnf( $equal(converse(join(X0,X1)),join(converse(X0),converse(X1))) )],[refute_1_273,refute_1_385]) ).
cnf(refute_1_387,plain,
join(converse(X1),converse(X0)) = converse(join(X1,X0)),
inference(subst,[],[refute_1_369:[bind(X0,$fot(X1)),bind(X1,$fot(X0))]]) ).
cnf(refute_1_388,plain,
( converse(join(X0,X1)) != join(converse(X1),converse(X0))
| join(converse(X1),converse(X0)) != converse(join(X1,X0))
| converse(join(X0,X1)) = converse(join(X1,X0)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(join(X0,X1)),converse(join(X1,X0))) ),[0],$fot(join(converse(X1),converse(X0)))]]) ).
cnf(refute_1_389,plain,
( converse(join(X0,X1)) != join(converse(X1),converse(X0))
| converse(join(X0,X1)) = converse(join(X1,X0)) ),
inference(resolve,[$cnf( $equal(join(converse(X1),converse(X0)),converse(join(X1,X0))) )],[refute_1_387,refute_1_388]) ).
cnf(refute_1_390,plain,
converse(join(X0,X1)) = converse(join(X1,X0)),
inference(resolve,[$cnf( $equal(converse(join(X0,X1)),join(converse(X1),converse(X0))) )],[refute_1_386,refute_1_389]) ).
cnf(refute_1_391,plain,
converse(join(converse(complement(converse(meet(top,top)))),top)) = converse(join(top,converse(complement(converse(meet(top,top)))))),
inference(subst,[],[refute_1_390:[bind(X0,$fot(converse(complement(converse(meet(top,top)))))),bind(X1,$fot(top))]]) ).
cnf(refute_1_392,plain,
join(converse(complement(converse(meet(top,top)))),top) = join(zero,join(zero,join(meet(top,top),converse(complement(converse(meet(top,top))))))),
inference(subst,[],[refute_1_271:[bind(X_358,$fot(converse(complement(converse(meet(top,top))))))]]) ).
cnf(refute_1_393,plain,
converse(top) = join(meet(top,top),converse(complement(converse(meet(top,top))))),
inference(subst,[],[refute_1_284:[bind(X_342,$fot(meet(top,top)))]]) ).
cnf(refute_1_394,plain,
( converse(top) != join(meet(top,top),converse(complement(converse(meet(top,top)))))
| join(meet(top,top),converse(complement(converse(meet(top,top))))) = converse(top) ),
inference(subst,[],[refute_1_5:[bind(X,$fot(converse(top))),bind(Y,$fot(join(meet(top,top),converse(complement(converse(meet(top,top)))))))]]) ).
cnf(refute_1_395,plain,
join(meet(top,top),converse(complement(converse(meet(top,top))))) = converse(top),
inference(resolve,[$cnf( $equal(converse(top),join(meet(top,top),converse(complement(converse(meet(top,top)))))) )],[refute_1_393,refute_1_394]) ).
cnf(refute_1_396,plain,
( join(converse(complement(converse(meet(top,top)))),top) != join(zero,join(zero,join(meet(top,top),converse(complement(converse(meet(top,top)))))))
| join(meet(top,top),converse(complement(converse(meet(top,top))))) != converse(top)
| join(converse(complement(converse(meet(top,top)))),top) = join(zero,join(zero,converse(top))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(complement(converse(meet(top,top)))),top),join(zero,join(zero,join(meet(top,top),converse(complement(converse(meet(top,top)))))))) ),[1,1,1],$fot(converse(top))]]) ).
cnf(refute_1_397,plain,
( join(converse(complement(converse(meet(top,top)))),top) != join(zero,join(zero,join(meet(top,top),converse(complement(converse(meet(top,top)))))))
| join(converse(complement(converse(meet(top,top)))),top) = join(zero,join(zero,converse(top))) ),
inference(resolve,[$cnf( $equal(join(meet(top,top),converse(complement(converse(meet(top,top))))),converse(top)) )],[refute_1_395,refute_1_396]) ).
cnf(refute_1_398,plain,
join(converse(complement(converse(meet(top,top)))),top) = join(zero,join(zero,converse(top))),
inference(resolve,[$cnf( $equal(join(converse(complement(converse(meet(top,top)))),top),join(zero,join(zero,join(meet(top,top),converse(complement(converse(meet(top,top)))))))) )],[refute_1_392,refute_1_397]) ).
cnf(refute_1_399,plain,
join(converse(complement(converse(meet(top,top)))),top) = join(top,converse(complement(converse(meet(top,top))))),
inference(subst,[],[refute_1_7:[bind(X0,$fot(top)),bind(X1,$fot(converse(complement(converse(meet(top,top))))))]]) ).
cnf(refute_1_400,plain,
( join(converse(complement(converse(meet(top,top)))),top) != join(top,converse(complement(converse(meet(top,top)))))
| join(converse(complement(converse(meet(top,top)))),top) != join(zero,join(zero,converse(top)))
| join(top,converse(complement(converse(meet(top,top))))) = join(zero,join(zero,converse(top))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(complement(converse(meet(top,top)))),top),join(zero,join(zero,converse(top)))) ),[0],$fot(join(top,converse(complement(converse(meet(top,top))))))]]) ).
cnf(refute_1_401,plain,
( join(converse(complement(converse(meet(top,top)))),top) != join(zero,join(zero,converse(top)))
| join(top,converse(complement(converse(meet(top,top))))) = join(zero,join(zero,converse(top))) ),
inference(resolve,[$cnf( $equal(join(converse(complement(converse(meet(top,top)))),top),join(top,converse(complement(converse(meet(top,top)))))) )],[refute_1_399,refute_1_400]) ).
cnf(refute_1_402,plain,
join(top,converse(complement(converse(meet(top,top))))) = join(zero,join(zero,converse(top))),
inference(resolve,[$cnf( $equal(join(converse(complement(converse(meet(top,top)))),top),join(zero,join(zero,converse(top)))) )],[refute_1_398,refute_1_401]) ).
cnf(refute_1_403,plain,
( converse(join(converse(complement(converse(meet(top,top)))),top)) != converse(join(top,converse(complement(converse(meet(top,top))))))
| join(top,converse(complement(converse(meet(top,top))))) != join(zero,join(zero,converse(top)))
| converse(join(converse(complement(converse(meet(top,top)))),top)) = converse(join(zero,join(zero,converse(top)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(complement(converse(meet(top,top)))),top)),converse(join(top,converse(complement(converse(meet(top,top))))))) ),[1,0],$fot(join(zero,join(zero,converse(top))))]]) ).
cnf(refute_1_404,plain,
( converse(join(converse(complement(converse(meet(top,top)))),top)) != converse(join(top,converse(complement(converse(meet(top,top))))))
| converse(join(converse(complement(converse(meet(top,top)))),top)) = converse(join(zero,join(zero,converse(top)))) ),
inference(resolve,[$cnf( $equal(join(top,converse(complement(converse(meet(top,top))))),join(zero,join(zero,converse(top)))) )],[refute_1_402,refute_1_403]) ).
cnf(refute_1_405,plain,
converse(join(converse(complement(converse(meet(top,top)))),top)) = converse(join(zero,join(zero,converse(top)))),
inference(resolve,[$cnf( $equal(converse(join(converse(complement(converse(meet(top,top)))),top)),converse(join(top,converse(complement(converse(meet(top,top))))))) )],[refute_1_391,refute_1_404]) ).
cnf(refute_1_406,plain,
converse(join(top,converse(complement(converse(meet(top,top)))))) = join(converse(top),complement(converse(meet(top,top)))),
inference(subst,[],[refute_1_364:[bind(X0,$fot(complement(converse(meet(top,top))))),bind(X_329,$fot(top))]]) ).
cnf(refute_1_407,plain,
( converse(join(converse(complement(converse(meet(top,top)))),top)) != converse(join(top,converse(complement(converse(meet(top,top))))))
| converse(join(top,converse(complement(converse(meet(top,top)))))) != join(converse(top),complement(converse(meet(top,top))))
| converse(join(converse(complement(converse(meet(top,top)))),top)) = join(converse(top),complement(converse(meet(top,top)))) ),
inference(subst,[],[refute_1_10:[bind(X,$fot(converse(join(converse(complement(converse(meet(top,top)))),top)))),bind(Y,$fot(converse(join(top,converse(complement(converse(meet(top,top)))))))),bind(Z,$fot(join(converse(top),complement(converse(meet(top,top))))))]]) ).
cnf(refute_1_408,plain,
( converse(join(top,converse(complement(converse(meet(top,top)))))) != join(converse(top),complement(converse(meet(top,top))))
| converse(join(converse(complement(converse(meet(top,top)))),top)) = join(converse(top),complement(converse(meet(top,top)))) ),
inference(resolve,[$cnf( $equal(converse(join(converse(complement(converse(meet(top,top)))),top)),converse(join(top,converse(complement(converse(meet(top,top))))))) )],[refute_1_391,refute_1_407]) ).
cnf(refute_1_409,plain,
converse(join(converse(complement(converse(meet(top,top)))),top)) = join(converse(top),complement(converse(meet(top,top)))),
inference(resolve,[$cnf( $equal(converse(join(top,converse(complement(converse(meet(top,top)))))),join(converse(top),complement(converse(meet(top,top))))) )],[refute_1_406,refute_1_408]) ).
cnf(refute_1_410,plain,
( converse(join(converse(complement(converse(meet(top,top)))),top)) != converse(join(zero,join(zero,converse(top))))
| converse(join(converse(complement(converse(meet(top,top)))),top)) != join(converse(top),complement(converse(meet(top,top))))
| join(converse(top),complement(converse(meet(top,top)))) = converse(join(zero,join(zero,converse(top)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(complement(converse(meet(top,top)))),top)),converse(join(zero,join(zero,converse(top))))) ),[0],$fot(join(converse(top),complement(converse(meet(top,top)))))]]) ).
cnf(refute_1_411,plain,
( converse(join(converse(complement(converse(meet(top,top)))),top)) != converse(join(zero,join(zero,converse(top))))
| join(converse(top),complement(converse(meet(top,top)))) = converse(join(zero,join(zero,converse(top)))) ),
inference(resolve,[$cnf( $equal(converse(join(converse(complement(converse(meet(top,top)))),top)),join(converse(top),complement(converse(meet(top,top))))) )],[refute_1_409,refute_1_410]) ).
cnf(refute_1_412,plain,
join(converse(join(zero,zero)),top) = join(top,converse(join(zero,zero))),
inference(subst,[],[refute_1_7:[bind(X0,$fot(top)),bind(X1,$fot(converse(join(zero,zero))))]]) ).
cnf(refute_1_413,plain,
converse(join(join(X_358,X_359),converse(X0))) = join(converse(join(X_358,X_359)),X0),
inference(subst,[],[refute_1_364:[bind(X_329,$fot(join(X_358,X_359)))]]) ).
cnf(refute_1_414,plain,
join(X_358,join(X_359,converse(X0))) = join(join(X_358,X_359),converse(X0)),
inference(subst,[],[refute_1_228:[bind(X0,$fot(X_358)),bind(X1,$fot(X_359)),bind(X2,$fot(converse(X0)))]]) ).
cnf(refute_1_415,plain,
( join(X_358,join(X_359,converse(X0))) != join(join(X_358,X_359),converse(X0))
| join(join(X_358,X_359),converse(X0)) = join(X_358,join(X_359,converse(X0))) ),
inference(subst,[],[refute_1_5:[bind(X,$fot(join(X_358,join(X_359,converse(X0))))),bind(Y,$fot(join(join(X_358,X_359),converse(X0))))]]) ).
cnf(refute_1_416,plain,
join(join(X_358,X_359),converse(X0)) = join(X_358,join(X_359,converse(X0))),
inference(resolve,[$cnf( $equal(join(X_358,join(X_359,converse(X0))),join(join(X_358,X_359),converse(X0))) )],[refute_1_414,refute_1_415]) ).
cnf(refute_1_417,plain,
( converse(join(join(X_358,X_359),converse(X0))) != join(converse(join(X_358,X_359)),X0)
| join(join(X_358,X_359),converse(X0)) != join(X_358,join(X_359,converse(X0)))
| converse(join(X_358,join(X_359,converse(X0)))) = join(converse(join(X_358,X_359)),X0) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(X_358,X_359),converse(X0))),join(converse(join(X_358,X_359)),X0)) ),[0,0],$fot(join(X_358,join(X_359,converse(X0))))]]) ).
cnf(refute_1_418,plain,
( converse(join(join(X_358,X_359),converse(X0))) != join(converse(join(X_358,X_359)),X0)
| converse(join(X_358,join(X_359,converse(X0)))) = join(converse(join(X_358,X_359)),X0) ),
inference(resolve,[$cnf( $equal(join(join(X_358,X_359),converse(X0)),join(X_358,join(X_359,converse(X0)))) )],[refute_1_416,refute_1_417]) ).
cnf(refute_1_419,plain,
converse(join(X_358,join(X_359,converse(X0)))) = join(converse(join(X_358,X_359)),X0),
inference(resolve,[$cnf( $equal(converse(join(join(X_358,X_359),converse(X0))),join(converse(join(X_358,X_359)),X0)) )],[refute_1_413,refute_1_418]) ).
cnf(refute_1_420,plain,
converse(join(zero,join(zero,converse(top)))) = join(converse(join(zero,zero)),top),
inference(subst,[],[refute_1_419:[bind(X0,$fot(top)),bind(X_358,$fot(zero)),bind(X_359,$fot(zero))]]) ).
cnf(refute_1_421,plain,
( converse(join(zero,join(zero,converse(top)))) != join(converse(join(zero,zero)),top)
| join(converse(join(zero,zero)),top) != join(top,converse(join(zero,zero)))
| converse(join(zero,join(zero,converse(top)))) = join(top,converse(join(zero,zero))) ),
inference(subst,[],[refute_1_10:[bind(X,$fot(converse(join(zero,join(zero,converse(top)))))),bind(Y,$fot(join(converse(join(zero,zero)),top))),bind(Z,$fot(join(top,converse(join(zero,zero)))))]]) ).
cnf(refute_1_422,plain,
( join(converse(join(zero,zero)),top) != join(top,converse(join(zero,zero)))
| converse(join(zero,join(zero,converse(top)))) = join(top,converse(join(zero,zero))) ),
inference(resolve,[$cnf( $equal(converse(join(zero,join(zero,converse(top)))),join(converse(join(zero,zero)),top)) )],[refute_1_420,refute_1_421]) ).
cnf(refute_1_423,plain,
converse(join(zero,join(zero,converse(top)))) = join(top,converse(join(zero,zero))),
inference(resolve,[$cnf( $equal(join(converse(join(zero,zero)),top),join(top,converse(join(zero,zero)))) )],[refute_1_412,refute_1_422]) ).
cnf(refute_1_424,plain,
( converse(join(zero,join(zero,converse(top)))) != join(top,converse(join(zero,zero)))
| join(converse(top),complement(converse(meet(top,top)))) != converse(join(zero,join(zero,converse(top))))
| join(converse(top),complement(converse(meet(top,top)))) = join(top,converse(join(zero,zero))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(top),complement(converse(meet(top,top)))),converse(join(zero,join(zero,converse(top))))) ),[1],$fot(join(top,converse(join(zero,zero))))]]) ).
cnf(refute_1_425,plain,
( join(converse(top),complement(converse(meet(top,top)))) != converse(join(zero,join(zero,converse(top))))
| join(converse(top),complement(converse(meet(top,top)))) = join(top,converse(join(zero,zero))) ),
inference(resolve,[$cnf( $equal(converse(join(zero,join(zero,converse(top)))),join(top,converse(join(zero,zero)))) )],[refute_1_423,refute_1_424]) ).
cnf(refute_1_426,plain,
( converse(join(converse(complement(converse(meet(top,top)))),top)) != converse(join(zero,join(zero,converse(top))))
| join(converse(top),complement(converse(meet(top,top)))) = join(top,converse(join(zero,zero))) ),
inference(resolve,[$cnf( $equal(join(converse(top),complement(converse(meet(top,top)))),converse(join(zero,join(zero,converse(top))))) )],[refute_1_411,refute_1_425]) ).
cnf(refute_1_427,plain,
join(converse(top),complement(converse(meet(top,top)))) = join(top,converse(join(zero,zero))),
inference(resolve,[$cnf( $equal(converse(join(converse(complement(converse(meet(top,top)))),top)),converse(join(zero,join(zero,converse(top))))) )],[refute_1_405,refute_1_426]) ).
cnf(refute_1_428,plain,
( converse(top) != join(top,converse(join(complement(converse(meet(top,top))),complement(join(converse(top),complement(converse(meet(top,top))))))))
| join(converse(top),complement(converse(meet(top,top)))) != join(top,converse(join(zero,zero)))
| converse(top) = join(top,converse(join(complement(converse(meet(top,top))),complement(join(top,converse(join(zero,zero))))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(top),join(top,converse(join(complement(converse(meet(top,top))),complement(join(converse(top),complement(converse(meet(top,top))))))))) ),[1,1,0,1,0],$fot(join(top,converse(join(zero,zero))))]]) ).
cnf(refute_1_429,plain,
( converse(top) != join(top,converse(join(complement(converse(meet(top,top))),complement(join(converse(top),complement(converse(meet(top,top))))))))
| converse(top) = join(top,converse(join(complement(converse(meet(top,top))),complement(join(top,converse(join(zero,zero))))))) ),
inference(resolve,[$cnf( $equal(join(converse(top),complement(converse(meet(top,top)))),join(top,converse(join(zero,zero)))) )],[refute_1_427,refute_1_428]) ).
cnf(refute_1_430,plain,
converse(top) = join(top,converse(join(complement(converse(meet(top,top))),complement(join(top,converse(join(zero,zero))))))),
inference(resolve,[$cnf( $equal(converse(top),join(top,converse(join(complement(converse(meet(top,top))),complement(join(converse(top),complement(converse(meet(top,top))))))))) )],[refute_1_382,refute_1_429]) ).
cnf(refute_1_431,plain,
( converse(top) != join(top,converse(join(complement(converse(meet(top,top))),complement(join(top,converse(join(zero,zero)))))))
| join(top,converse(join(complement(converse(meet(top,top))),complement(join(top,converse(join(zero,zero))))))) = converse(top) ),
inference(subst,[],[refute_1_5:[bind(X,$fot(converse(top))),bind(Y,$fot(join(top,converse(join(complement(converse(meet(top,top))),complement(join(top,converse(join(zero,zero)))))))))]]) ).
cnf(refute_1_432,plain,
join(top,converse(join(complement(converse(meet(top,top))),complement(join(top,converse(join(zero,zero))))))) = converse(top),
inference(resolve,[$cnf( $equal(converse(top),join(top,converse(join(complement(converse(meet(top,top))),complement(join(top,converse(join(zero,zero)))))))) )],[refute_1_430,refute_1_431]) ).
cnf(refute_1_433,plain,
( join(top,converse(join(complement(converse(meet(top,top))),complement(join(top,converse(join(zero,zero))))))) != converse(top)
| join(top,join(converse(join(complement(converse(meet(top,top))),complement(join(top,converse(join(zero,zero)))))),zero)) != join(top,converse(join(complement(converse(meet(top,top))),complement(join(top,converse(join(zero,zero)))))))
| join(top,join(converse(join(complement(converse(meet(top,top))),complement(join(top,converse(join(zero,zero)))))),zero)) = converse(top) ),
introduced(tautology,[equality,[$cnf( $equal(join(top,join(converse(join(complement(converse(meet(top,top))),complement(join(top,converse(join(zero,zero)))))),zero)),join(top,converse(join(complement(converse(meet(top,top))),complement(join(top,converse(join(zero,zero)))))))) ),[1],$fot(converse(top))]]) ).
cnf(refute_1_434,plain,
( join(top,join(converse(join(complement(converse(meet(top,top))),complement(join(top,converse(join(zero,zero)))))),zero)) != join(top,converse(join(complement(converse(meet(top,top))),complement(join(top,converse(join(zero,zero)))))))
| join(top,join(converse(join(complement(converse(meet(top,top))),complement(join(top,converse(join(zero,zero)))))),zero)) = converse(top) ),
inference(resolve,[$cnf( $equal(join(top,converse(join(complement(converse(meet(top,top))),complement(join(top,converse(join(zero,zero))))))),converse(top)) )],[refute_1_432,refute_1_433]) ).
cnf(refute_1_435,plain,
join(top,join(converse(join(complement(converse(meet(top,top))),complement(join(top,converse(join(zero,zero)))))),zero)) = converse(top),
inference(resolve,[$cnf( $equal(join(top,join(converse(join(complement(converse(meet(top,top))),complement(join(top,converse(join(zero,zero)))))),zero)),join(top,converse(join(complement(converse(meet(top,top))),complement(join(top,converse(join(zero,zero)))))))) )],[refute_1_359,refute_1_434]) ).
cnf(refute_1_436,plain,
join(converse(top),zero) = join(zero,converse(top)),
inference(subst,[],[refute_1_7:[bind(X0,$fot(zero)),bind(X1,$fot(converse(top)))]]) ).
cnf(refute_1_437,plain,
join(top,join(converse(join(complement(converse(meet(top,top))),complement(join(top,converse(join(zero,zero)))))),X2)) = join(join(top,converse(join(complement(converse(meet(top,top))),complement(join(top,converse(join(zero,zero))))))),X2),
inference(subst,[],[refute_1_228:[bind(X0,$fot(top)),bind(X1,$fot(converse(join(complement(converse(meet(top,top))),complement(join(top,converse(join(zero,zero))))))))]]) ).
cnf(refute_1_438,plain,
( join(top,converse(join(complement(converse(meet(top,top))),complement(join(top,converse(join(zero,zero))))))) != converse(top)
| join(top,join(converse(join(complement(converse(meet(top,top))),complement(join(top,converse(join(zero,zero)))))),X2)) != join(join(top,converse(join(complement(converse(meet(top,top))),complement(join(top,converse(join(zero,zero))))))),X2)
| join(top,join(converse(join(complement(converse(meet(top,top))),complement(join(top,converse(join(zero,zero)))))),X2)) = join(converse(top),X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(top,join(converse(join(complement(converse(meet(top,top))),complement(join(top,converse(join(zero,zero)))))),X2)),join(join(top,converse(join(complement(converse(meet(top,top))),complement(join(top,converse(join(zero,zero))))))),X2)) ),[1,0],$fot(converse(top))]]) ).
cnf(refute_1_439,plain,
( join(top,join(converse(join(complement(converse(meet(top,top))),complement(join(top,converse(join(zero,zero)))))),X2)) != join(join(top,converse(join(complement(converse(meet(top,top))),complement(join(top,converse(join(zero,zero))))))),X2)
| join(top,join(converse(join(complement(converse(meet(top,top))),complement(join(top,converse(join(zero,zero)))))),X2)) = join(converse(top),X2) ),
inference(resolve,[$cnf( $equal(join(top,converse(join(complement(converse(meet(top,top))),complement(join(top,converse(join(zero,zero))))))),converse(top)) )],[refute_1_432,refute_1_438]) ).
cnf(refute_1_440,plain,
join(top,join(converse(join(complement(converse(meet(top,top))),complement(join(top,converse(join(zero,zero)))))),X2)) = join(converse(top),X2),
inference(resolve,[$cnf( $equal(join(top,join(converse(join(complement(converse(meet(top,top))),complement(join(top,converse(join(zero,zero)))))),X2)),join(join(top,converse(join(complement(converse(meet(top,top))),complement(join(top,converse(join(zero,zero))))))),X2)) )],[refute_1_437,refute_1_439]) ).
cnf(refute_1_441,plain,
join(top,join(converse(join(complement(converse(meet(top,top))),complement(join(top,converse(join(zero,zero)))))),zero)) = join(converse(top),zero),
inference(subst,[],[refute_1_440:[bind(X2,$fot(zero))]]) ).
cnf(refute_1_442,plain,
( join(converse(top),zero) != join(zero,converse(top))
| join(top,join(converse(join(complement(converse(meet(top,top))),complement(join(top,converse(join(zero,zero)))))),zero)) != join(converse(top),zero)
| join(top,join(converse(join(complement(converse(meet(top,top))),complement(join(top,converse(join(zero,zero)))))),zero)) = join(zero,converse(top)) ),
inference(subst,[],[refute_1_10:[bind(X,$fot(join(top,join(converse(join(complement(converse(meet(top,top))),complement(join(top,converse(join(zero,zero)))))),zero)))),bind(Y,$fot(join(converse(top),zero))),bind(Z,$fot(join(zero,converse(top))))]]) ).
cnf(refute_1_443,plain,
( join(converse(top),zero) != join(zero,converse(top))
| join(top,join(converse(join(complement(converse(meet(top,top))),complement(join(top,converse(join(zero,zero)))))),zero)) = join(zero,converse(top)) ),
inference(resolve,[$cnf( $equal(join(top,join(converse(join(complement(converse(meet(top,top))),complement(join(top,converse(join(zero,zero)))))),zero)),join(converse(top),zero)) )],[refute_1_441,refute_1_442]) ).
cnf(refute_1_444,plain,
join(top,join(converse(join(complement(converse(meet(top,top))),complement(join(top,converse(join(zero,zero)))))),zero)) = join(zero,converse(top)),
inference(resolve,[$cnf( $equal(join(converse(top),zero),join(zero,converse(top))) )],[refute_1_436,refute_1_443]) ).
cnf(refute_1_445,plain,
( join(top,join(converse(join(complement(converse(meet(top,top))),complement(join(top,converse(join(zero,zero)))))),zero)) != converse(top)
| join(top,join(converse(join(complement(converse(meet(top,top))),complement(join(top,converse(join(zero,zero)))))),zero)) != join(zero,converse(top))
| join(zero,converse(top)) = converse(top) ),
introduced(tautology,[equality,[$cnf( $equal(join(top,join(converse(join(complement(converse(meet(top,top))),complement(join(top,converse(join(zero,zero)))))),zero)),converse(top)) ),[0],$fot(join(zero,converse(top)))]]) ).
cnf(refute_1_446,plain,
( join(top,join(converse(join(complement(converse(meet(top,top))),complement(join(top,converse(join(zero,zero)))))),zero)) != converse(top)
| join(zero,converse(top)) = converse(top) ),
inference(resolve,[$cnf( $equal(join(top,join(converse(join(complement(converse(meet(top,top))),complement(join(top,converse(join(zero,zero)))))),zero)),join(zero,converse(top))) )],[refute_1_444,refute_1_445]) ).
cnf(refute_1_447,plain,
join(zero,converse(top)) = converse(top),
inference(resolve,[$cnf( $equal(join(top,join(converse(join(complement(converse(meet(top,top))),complement(join(top,converse(join(zero,zero)))))),zero)),converse(top)) )],[refute_1_435,refute_1_446]) ).
cnf(refute_1_448,plain,
join(zero,join(zero,converse(top))) = join(zero,join(zero,converse(top))),
introduced(tautology,[refl,[$fot(join(zero,join(zero,converse(top))))]]) ).
cnf(refute_1_449,plain,
( join(zero,converse(top)) != converse(top)
| join(zero,join(zero,converse(top))) != join(zero,join(zero,converse(top)))
| join(zero,join(zero,converse(top))) = join(zero,converse(top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,join(zero,converse(top))),join(zero,join(zero,converse(top)))) ),[1,1],$fot(converse(top))]]) ).
cnf(refute_1_450,plain,
( join(zero,converse(top)) != converse(top)
| join(zero,join(zero,converse(top))) = join(zero,converse(top)) ),
inference(resolve,[$cnf( $equal(join(zero,join(zero,converse(top))),join(zero,join(zero,converse(top)))) )],[refute_1_448,refute_1_449]) ).
cnf(refute_1_451,plain,
join(zero,join(zero,converse(top))) = join(zero,converse(top)),
inference(resolve,[$cnf( $equal(join(zero,converse(top)),converse(top)) )],[refute_1_447,refute_1_450]) ).
cnf(refute_1_452,plain,
( join(zero,converse(top)) != converse(top)
| join(zero,join(zero,converse(top))) != join(zero,converse(top))
| join(zero,join(zero,converse(top))) = converse(top) ),
inference(subst,[],[refute_1_10:[bind(X,$fot(join(zero,join(zero,converse(top))))),bind(Y,$fot(join(zero,converse(top)))),bind(Z,$fot(converse(top)))]]) ).
cnf(refute_1_453,plain,
( join(zero,converse(top)) != converse(top)
| join(zero,join(zero,converse(top))) = converse(top) ),
inference(resolve,[$cnf( $equal(join(zero,join(zero,converse(top))),join(zero,converse(top))) )],[refute_1_451,refute_1_452]) ).
cnf(refute_1_454,plain,
join(zero,join(zero,converse(top))) = converse(top),
inference(resolve,[$cnf( $equal(join(zero,converse(top)),converse(top)) )],[refute_1_447,refute_1_453]) ).
cnf(refute_1_455,plain,
( join(X_372,join(top,converse(complement(converse(join(meet(top,top),X_372)))))) != join(zero,join(zero,converse(top)))
| join(zero,join(zero,converse(top))) != converse(top)
| join(X_372,join(top,converse(complement(converse(join(meet(top,top),X_372)))))) = converse(top) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_372,join(top,converse(complement(converse(join(meet(top,top),X_372)))))),converse(top)) ),[0],$fot(join(zero,join(zero,converse(top))))]]) ).
cnf(refute_1_456,plain,
( join(X_372,join(top,converse(complement(converse(join(meet(top,top),X_372)))))) != join(zero,join(zero,converse(top)))
| join(X_372,join(top,converse(complement(converse(join(meet(top,top),X_372)))))) = converse(top) ),
inference(resolve,[$cnf( $equal(join(zero,join(zero,converse(top))),converse(top)) )],[refute_1_454,refute_1_455]) ).
cnf(refute_1_457,plain,
( join(join(X_372,converse(complement(converse(join(meet(top,top),X_372))))),top) != join(zero,join(zero,converse(top)))
| join(X_372,join(top,converse(complement(converse(join(meet(top,top),X_372)))))) = converse(top) ),
inference(resolve,[$cnf( $equal(join(X_372,join(top,converse(complement(converse(join(meet(top,top),X_372)))))),join(zero,join(zero,converse(top)))) )],[refute_1_341,refute_1_456]) ).
cnf(refute_1_458,plain,
join(X_372,join(top,converse(complement(converse(join(meet(top,top),X_372)))))) = converse(top),
inference(resolve,[$cnf( $equal(join(join(X_372,converse(complement(converse(join(meet(top,top),X_372))))),top),join(zero,join(zero,converse(top)))) )],[refute_1_297,refute_1_457]) ).
cnf(refute_1_459,plain,
complement(complement(top)) = complement(complement(top)),
introduced(tautology,[refl,[$fot(complement(complement(top)))]]) ).
cnf(refute_1_460,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_461,plain,
( complement(top) != zero
| complement(complement(top)) = complement(zero) ),
inference(resolve,[$cnf( $equal(complement(complement(top)),complement(complement(top))) )],[refute_1_459,refute_1_460]) ).
cnf(refute_1_462,plain,
complement(complement(top)) = complement(zero),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_1_74,refute_1_461]) ).
cnf(refute_1_463,plain,
meet(top,top) = complement(complement(top)),
inference(subst,[],[refute_1_176:[bind(X1,$fot(top))]]) ).
cnf(refute_1_464,plain,
( complement(complement(top)) != complement(zero)
| meet(top,top) != complement(complement(top))
| meet(top,top) = complement(zero) ),
inference(subst,[],[refute_1_10:[bind(X,$fot(meet(top,top))),bind(Y,$fot(complement(complement(top)))),bind(Z,$fot(complement(zero)))]]) ).
cnf(refute_1_465,plain,
( complement(complement(top)) != complement(zero)
| meet(top,top) = complement(zero) ),
inference(resolve,[$cnf( $equal(meet(top,top),complement(complement(top))) )],[refute_1_463,refute_1_464]) ).
cnf(refute_1_466,plain,
meet(top,top) = complement(zero),
inference(resolve,[$cnf( $equal(complement(complement(top)),complement(zero)) )],[refute_1_462,refute_1_465]) ).
cnf(refute_1_467,plain,
join(meet(top,top),X_372) = join(meet(top,top),X_372),
introduced(tautology,[refl,[$fot(join(meet(top,top),X_372))]]) ).
cnf(refute_1_468,plain,
( join(meet(top,top),X_372) != join(meet(top,top),X_372)
| meet(top,top) != complement(zero)
| join(meet(top,top),X_372) = join(complement(zero),X_372) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(top,top),X_372),join(meet(top,top),X_372)) ),[1,0],$fot(complement(zero))]]) ).
cnf(refute_1_469,plain,
( meet(top,top) != complement(zero)
| join(meet(top,top),X_372) = join(complement(zero),X_372) ),
inference(resolve,[$cnf( $equal(join(meet(top,top),X_372),join(meet(top,top),X_372)) )],[refute_1_467,refute_1_468]) ).
cnf(refute_1_470,plain,
join(meet(top,top),X_372) = join(complement(zero),X_372),
inference(resolve,[$cnf( $equal(meet(top,top),complement(zero)) )],[refute_1_466,refute_1_469]) ).
cnf(refute_1_471,plain,
converse(join(meet(top,top),X_372)) = converse(join(meet(top,top),X_372)),
introduced(tautology,[refl,[$fot(converse(join(meet(top,top),X_372)))]]) ).
cnf(refute_1_472,plain,
( converse(join(meet(top,top),X_372)) != converse(join(meet(top,top),X_372))
| join(meet(top,top),X_372) != join(complement(zero),X_372)
| converse(join(meet(top,top),X_372)) = converse(join(complement(zero),X_372)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(meet(top,top),X_372)),converse(join(meet(top,top),X_372))) ),[1,0],$fot(join(complement(zero),X_372))]]) ).
cnf(refute_1_473,plain,
( join(meet(top,top),X_372) != join(complement(zero),X_372)
| converse(join(meet(top,top),X_372)) = converse(join(complement(zero),X_372)) ),
inference(resolve,[$cnf( $equal(converse(join(meet(top,top),X_372)),converse(join(meet(top,top),X_372))) )],[refute_1_471,refute_1_472]) ).
cnf(refute_1_474,plain,
converse(join(meet(top,top),X_372)) = converse(join(complement(zero),X_372)),
inference(resolve,[$cnf( $equal(join(meet(top,top),X_372),join(complement(zero),X_372)) )],[refute_1_470,refute_1_473]) ).
cnf(refute_1_475,plain,
complement(converse(join(meet(top,top),X_372))) = complement(converse(join(meet(top,top),X_372))),
introduced(tautology,[refl,[$fot(complement(converse(join(meet(top,top),X_372))))]]) ).
cnf(refute_1_476,plain,
( complement(converse(join(meet(top,top),X_372))) != complement(converse(join(meet(top,top),X_372)))
| converse(join(meet(top,top),X_372)) != converse(join(complement(zero),X_372))
| complement(converse(join(meet(top,top),X_372))) = complement(converse(join(complement(zero),X_372))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(join(meet(top,top),X_372))),complement(converse(join(meet(top,top),X_372)))) ),[1,0],$fot(converse(join(complement(zero),X_372)))]]) ).
cnf(refute_1_477,plain,
( converse(join(meet(top,top),X_372)) != converse(join(complement(zero),X_372))
| complement(converse(join(meet(top,top),X_372))) = complement(converse(join(complement(zero),X_372))) ),
inference(resolve,[$cnf( $equal(complement(converse(join(meet(top,top),X_372))),complement(converse(join(meet(top,top),X_372)))) )],[refute_1_475,refute_1_476]) ).
cnf(refute_1_478,plain,
complement(converse(join(meet(top,top),X_372))) = complement(converse(join(complement(zero),X_372))),
inference(resolve,[$cnf( $equal(converse(join(meet(top,top),X_372)),converse(join(complement(zero),X_372))) )],[refute_1_474,refute_1_477]) ).
cnf(refute_1_479,plain,
converse(complement(converse(join(meet(top,top),X_372)))) = converse(complement(converse(join(meet(top,top),X_372)))),
introduced(tautology,[refl,[$fot(converse(complement(converse(join(meet(top,top),X_372)))))]]) ).
cnf(refute_1_480,plain,
( complement(converse(join(meet(top,top),X_372))) != complement(converse(join(complement(zero),X_372)))
| converse(complement(converse(join(meet(top,top),X_372)))) != converse(complement(converse(join(meet(top,top),X_372))))
| converse(complement(converse(join(meet(top,top),X_372)))) = converse(complement(converse(join(complement(zero),X_372)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(join(meet(top,top),X_372)))),converse(complement(converse(join(meet(top,top),X_372))))) ),[1,0],$fot(complement(converse(join(complement(zero),X_372))))]]) ).
cnf(refute_1_481,plain,
( complement(converse(join(meet(top,top),X_372))) != complement(converse(join(complement(zero),X_372)))
| converse(complement(converse(join(meet(top,top),X_372)))) = converse(complement(converse(join(complement(zero),X_372)))) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(join(meet(top,top),X_372)))),converse(complement(converse(join(meet(top,top),X_372))))) )],[refute_1_479,refute_1_480]) ).
cnf(refute_1_482,plain,
converse(complement(converse(join(meet(top,top),X_372)))) = converse(complement(converse(join(complement(zero),X_372)))),
inference(resolve,[$cnf( $equal(complement(converse(join(meet(top,top),X_372))),complement(converse(join(complement(zero),X_372)))) )],[refute_1_478,refute_1_481]) ).
cnf(refute_1_483,plain,
join(top,converse(complement(converse(join(meet(top,top),X_372))))) = join(top,converse(complement(converse(join(meet(top,top),X_372))))),
introduced(tautology,[refl,[$fot(join(top,converse(complement(converse(join(meet(top,top),X_372))))))]]) ).
cnf(refute_1_484,plain,
( converse(complement(converse(join(meet(top,top),X_372)))) != converse(complement(converse(join(complement(zero),X_372))))
| join(top,converse(complement(converse(join(meet(top,top),X_372))))) != join(top,converse(complement(converse(join(meet(top,top),X_372)))))
| join(top,converse(complement(converse(join(meet(top,top),X_372))))) = join(top,converse(complement(converse(join(complement(zero),X_372))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(top,converse(complement(converse(join(meet(top,top),X_372))))),join(top,converse(complement(converse(join(meet(top,top),X_372)))))) ),[1,1],$fot(converse(complement(converse(join(complement(zero),X_372)))))]]) ).
cnf(refute_1_485,plain,
( converse(complement(converse(join(meet(top,top),X_372)))) != converse(complement(converse(join(complement(zero),X_372))))
| join(top,converse(complement(converse(join(meet(top,top),X_372))))) = join(top,converse(complement(converse(join(complement(zero),X_372))))) ),
inference(resolve,[$cnf( $equal(join(top,converse(complement(converse(join(meet(top,top),X_372))))),join(top,converse(complement(converse(join(meet(top,top),X_372)))))) )],[refute_1_483,refute_1_484]) ).
cnf(refute_1_486,plain,
join(top,converse(complement(converse(join(meet(top,top),X_372))))) = join(top,converse(complement(converse(join(complement(zero),X_372))))),
inference(resolve,[$cnf( $equal(converse(complement(converse(join(meet(top,top),X_372)))),converse(complement(converse(join(complement(zero),X_372))))) )],[refute_1_482,refute_1_485]) ).
cnf(refute_1_487,plain,
join(X_372,join(top,converse(complement(converse(join(meet(top,top),X_372)))))) = join(X_372,join(top,converse(complement(converse(join(meet(top,top),X_372)))))),
introduced(tautology,[refl,[$fot(join(X_372,join(top,converse(complement(converse(join(meet(top,top),X_372)))))))]]) ).
cnf(refute_1_488,plain,
( join(X_372,join(top,converse(complement(converse(join(meet(top,top),X_372)))))) != join(X_372,join(top,converse(complement(converse(join(meet(top,top),X_372))))))
| join(top,converse(complement(converse(join(meet(top,top),X_372))))) != join(top,converse(complement(converse(join(complement(zero),X_372)))))
| join(X_372,join(top,converse(complement(converse(join(meet(top,top),X_372)))))) = join(X_372,join(top,converse(complement(converse(join(complement(zero),X_372)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_372,join(top,converse(complement(converse(join(meet(top,top),X_372)))))),join(X_372,join(top,converse(complement(converse(join(meet(top,top),X_372))))))) ),[1,1],$fot(join(top,converse(complement(converse(join(complement(zero),X_372))))))]]) ).
cnf(refute_1_489,plain,
( join(top,converse(complement(converse(join(meet(top,top),X_372))))) != join(top,converse(complement(converse(join(complement(zero),X_372)))))
| join(X_372,join(top,converse(complement(converse(join(meet(top,top),X_372)))))) = join(X_372,join(top,converse(complement(converse(join(complement(zero),X_372)))))) ),
inference(resolve,[$cnf( $equal(join(X_372,join(top,converse(complement(converse(join(meet(top,top),X_372)))))),join(X_372,join(top,converse(complement(converse(join(meet(top,top),X_372))))))) )],[refute_1_487,refute_1_488]) ).
cnf(refute_1_490,plain,
join(X_372,join(top,converse(complement(converse(join(meet(top,top),X_372)))))) = join(X_372,join(top,converse(complement(converse(join(complement(zero),X_372)))))),
inference(resolve,[$cnf( $equal(join(top,converse(complement(converse(join(meet(top,top),X_372))))),join(top,converse(complement(converse(join(complement(zero),X_372)))))) )],[refute_1_486,refute_1_489]) ).
cnf(refute_1_491,plain,
( join(X_372,join(top,converse(complement(converse(join(meet(top,top),X_372)))))) != converse(top)
| join(X_372,join(top,converse(complement(converse(join(meet(top,top),X_372)))))) != join(X_372,join(top,converse(complement(converse(join(complement(zero),X_372))))))
| join(X_372,join(top,converse(complement(converse(join(complement(zero),X_372)))))) = converse(top) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_372,join(top,converse(complement(converse(join(meet(top,top),X_372)))))),converse(top)) ),[0],$fot(join(X_372,join(top,converse(complement(converse(join(complement(zero),X_372)))))))]]) ).
cnf(refute_1_492,plain,
( join(X_372,join(top,converse(complement(converse(join(meet(top,top),X_372)))))) != converse(top)
| join(X_372,join(top,converse(complement(converse(join(complement(zero),X_372)))))) = converse(top) ),
inference(resolve,[$cnf( $equal(join(X_372,join(top,converse(complement(converse(join(meet(top,top),X_372)))))),join(X_372,join(top,converse(complement(converse(join(complement(zero),X_372))))))) )],[refute_1_490,refute_1_491]) ).
cnf(refute_1_493,plain,
converse(join(converse(join(zero,complement(converse(meet(top,top))))),top)) = converse(join(top,converse(join(zero,complement(converse(meet(top,top))))))),
inference(subst,[],[refute_1_390:[bind(X0,$fot(converse(join(zero,complement(converse(meet(top,top))))))),bind(X1,$fot(top))]]) ).
cnf(refute_1_494,plain,
join(converse(join(zero,complement(converse(meet(top,top))))),top) = join(zero,join(zero,join(meet(top,top),converse(join(zero,complement(converse(meet(top,top)))))))),
inference(subst,[],[refute_1_271:[bind(X_358,$fot(converse(join(zero,complement(converse(meet(top,top)))))))]]) ).
cnf(refute_1_495,plain,
converse(top) = join(X_368,converse(join(complement(converse(X_368)),complement(join(converse(X_368),complement(converse(X_368))))))),
inference(subst,[],[refute_1_381:[bind(X0,$fot(complement(converse(X_368)))),bind(X_329,$fot(X_368))]]) ).
cnf(refute_1_496,plain,
top = join(converse(X_368),complement(converse(X_368))),
inference(subst,[],[refute_1_54:[bind(X0,$fot(converse(X_368)))]]) ).
cnf(refute_1_497,plain,
( top != join(converse(X_368),complement(converse(X_368)))
| join(converse(X_368),complement(converse(X_368))) = top ),
inference(subst,[],[refute_1_5:[bind(X,$fot(top)),bind(Y,$fot(join(converse(X_368),complement(converse(X_368)))))]]) ).
cnf(refute_1_498,plain,
join(converse(X_368),complement(converse(X_368))) = top,
inference(resolve,[$cnf( $equal(top,join(converse(X_368),complement(converse(X_368)))) )],[refute_1_496,refute_1_497]) ).
cnf(refute_1_499,plain,
( converse(top) != join(X_368,converse(join(complement(converse(X_368)),complement(join(converse(X_368),complement(converse(X_368)))))))
| join(converse(X_368),complement(converse(X_368))) != top
| converse(top) = join(X_368,converse(join(complement(converse(X_368)),complement(top)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(top),join(X_368,converse(join(complement(converse(X_368)),complement(join(converse(X_368),complement(converse(X_368)))))))) ),[1,1,0,1,0],$fot(top)]]) ).
cnf(refute_1_500,plain,
( converse(top) != join(X_368,converse(join(complement(converse(X_368)),complement(join(converse(X_368),complement(converse(X_368)))))))
| converse(top) = join(X_368,converse(join(complement(converse(X_368)),complement(top)))) ),
inference(resolve,[$cnf( $equal(join(converse(X_368),complement(converse(X_368))),top) )],[refute_1_498,refute_1_499]) ).
cnf(refute_1_501,plain,
converse(top) = join(X_368,converse(join(complement(converse(X_368)),complement(top)))),
inference(resolve,[$cnf( $equal(converse(top),join(X_368,converse(join(complement(converse(X_368)),complement(join(converse(X_368),complement(converse(X_368)))))))) )],[refute_1_495,refute_1_500]) ).
cnf(refute_1_502,plain,
join(complement(top),complement(converse(X_368))) = join(complement(top),complement(converse(X_368))),
introduced(tautology,[refl,[$fot(join(complement(top),complement(converse(X_368))))]]) ).
cnf(refute_1_503,plain,
( complement(top) != zero
| join(complement(top),complement(converse(X_368))) != join(complement(top),complement(converse(X_368)))
| join(complement(top),complement(converse(X_368))) = join(zero,complement(converse(X_368))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),complement(converse(X_368))),join(complement(top),complement(converse(X_368)))) ),[1,0],$fot(zero)]]) ).
cnf(refute_1_504,plain,
( complement(top) != zero
| join(complement(top),complement(converse(X_368))) = join(zero,complement(converse(X_368))) ),
inference(resolve,[$cnf( $equal(join(complement(top),complement(converse(X_368))),join(complement(top),complement(converse(X_368)))) )],[refute_1_502,refute_1_503]) ).
cnf(refute_1_505,plain,
join(complement(top),complement(converse(X_368))) = join(zero,complement(converse(X_368))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_1_74,refute_1_504]) ).
cnf(refute_1_506,plain,
converse(join(complement(top),complement(converse(X_368)))) = converse(join(complement(top),complement(converse(X_368)))),
introduced(tautology,[refl,[$fot(converse(join(complement(top),complement(converse(X_368)))))]]) ).
cnf(refute_1_507,plain,
( converse(join(complement(top),complement(converse(X_368)))) != converse(join(complement(top),complement(converse(X_368))))
| join(complement(top),complement(converse(X_368))) != join(zero,complement(converse(X_368)))
| converse(join(complement(top),complement(converse(X_368)))) = converse(join(zero,complement(converse(X_368)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(complement(top),complement(converse(X_368)))),converse(join(complement(top),complement(converse(X_368))))) ),[1,0],$fot(join(zero,complement(converse(X_368))))]]) ).
cnf(refute_1_508,plain,
( join(complement(top),complement(converse(X_368))) != join(zero,complement(converse(X_368)))
| converse(join(complement(top),complement(converse(X_368)))) = converse(join(zero,complement(converse(X_368)))) ),
inference(resolve,[$cnf( $equal(converse(join(complement(top),complement(converse(X_368)))),converse(join(complement(top),complement(converse(X_368))))) )],[refute_1_506,refute_1_507]) ).
cnf(refute_1_509,plain,
converse(join(complement(top),complement(converse(X_368)))) = converse(join(zero,complement(converse(X_368)))),
inference(resolve,[$cnf( $equal(join(complement(top),complement(converse(X_368))),join(zero,complement(converse(X_368)))) )],[refute_1_505,refute_1_508]) ).
cnf(refute_1_510,plain,
join(X_368,converse(join(complement(top),complement(converse(X_368))))) = join(X_368,converse(join(complement(top),complement(converse(X_368))))),
introduced(tautology,[refl,[$fot(join(X_368,converse(join(complement(top),complement(converse(X_368))))))]]) ).
cnf(refute_1_511,plain,
( converse(join(complement(top),complement(converse(X_368)))) != converse(join(zero,complement(converse(X_368))))
| join(X_368,converse(join(complement(top),complement(converse(X_368))))) != join(X_368,converse(join(complement(top),complement(converse(X_368)))))
| join(X_368,converse(join(complement(top),complement(converse(X_368))))) = join(X_368,converse(join(zero,complement(converse(X_368))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_368,converse(join(complement(top),complement(converse(X_368))))),join(X_368,converse(join(complement(top),complement(converse(X_368)))))) ),[1,1],$fot(converse(join(zero,complement(converse(X_368)))))]]) ).
cnf(refute_1_512,plain,
( converse(join(complement(top),complement(converse(X_368)))) != converse(join(zero,complement(converse(X_368))))
| join(X_368,converse(join(complement(top),complement(converse(X_368))))) = join(X_368,converse(join(zero,complement(converse(X_368))))) ),
inference(resolve,[$cnf( $equal(join(X_368,converse(join(complement(top),complement(converse(X_368))))),join(X_368,converse(join(complement(top),complement(converse(X_368)))))) )],[refute_1_510,refute_1_511]) ).
cnf(refute_1_513,plain,
join(X_368,converse(join(complement(top),complement(converse(X_368))))) = join(X_368,converse(join(zero,complement(converse(X_368))))),
inference(resolve,[$cnf( $equal(converse(join(complement(top),complement(converse(X_368)))),converse(join(zero,complement(converse(X_368))))) )],[refute_1_509,refute_1_512]) ).
cnf(refute_1_514,plain,
converse(join(converse(X_342),join(X1,X0))) = join(X_342,converse(join(X1,X0))),
inference(subst,[],[refute_1_277:[bind(X0,$fot(X_342)),bind(X_330,$fot(join(X1,X0)))]]) ).
cnf(refute_1_515,plain,
( converse(join(X0,X1)) != converse(join(X1,X0))
| converse(join(X1,X0)) = converse(join(X0,X1)) ),
inference(subst,[],[refute_1_5:[bind(X,$fot(converse(join(X0,X1)))),bind(Y,$fot(converse(join(X1,X0))))]]) ).
cnf(refute_1_516,plain,
converse(join(X1,X0)) = converse(join(X0,X1)),
inference(resolve,[$cnf( $equal(converse(join(X0,X1)),converse(join(X1,X0))) )],[refute_1_390,refute_1_515]) ).
cnf(refute_1_517,plain,
( converse(join(X1,X0)) != converse(join(X0,X1))
| converse(join(converse(X_342),join(X1,X0))) != join(X_342,converse(join(X1,X0)))
| converse(join(converse(X_342),join(X1,X0))) = join(X_342,converse(join(X0,X1))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X_342),join(X1,X0))),join(X_342,converse(join(X1,X0)))) ),[1,1],$fot(converse(join(X0,X1)))]]) ).
cnf(refute_1_518,plain,
( converse(join(converse(X_342),join(X1,X0))) != join(X_342,converse(join(X1,X0)))
| converse(join(converse(X_342),join(X1,X0))) = join(X_342,converse(join(X0,X1))) ),
inference(resolve,[$cnf( $equal(converse(join(X1,X0)),converse(join(X0,X1))) )],[refute_1_516,refute_1_517]) ).
cnf(refute_1_519,plain,
converse(join(converse(X_342),join(X1,X0))) = join(X_342,converse(join(X0,X1))),
inference(resolve,[$cnf( $equal(converse(join(converse(X_342),join(X1,X0))),join(X_342,converse(join(X1,X0)))) )],[refute_1_514,refute_1_518]) ).
cnf(refute_1_520,plain,
( converse(join(converse(X_342),join(X1,X0))) != join(X_342,converse(join(X0,X1)))
| converse(join(converse(X_342),join(X1,X0))) != join(X_342,converse(join(X1,X0)))
| join(X_342,converse(join(X1,X0))) = join(X_342,converse(join(X0,X1))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X_342),join(X1,X0))),join(X_342,converse(join(X0,X1)))) ),[0],$fot(join(X_342,converse(join(X1,X0))))]]) ).
cnf(refute_1_521,plain,
( converse(join(converse(X_342),join(X1,X0))) != join(X_342,converse(join(X0,X1)))
| join(X_342,converse(join(X1,X0))) = join(X_342,converse(join(X0,X1))) ),
inference(resolve,[$cnf( $equal(converse(join(converse(X_342),join(X1,X0))),join(X_342,converse(join(X1,X0)))) )],[refute_1_514,refute_1_520]) ).
cnf(refute_1_522,plain,
join(X_342,converse(join(X1,X0))) = join(X_342,converse(join(X0,X1))),
inference(resolve,[$cnf( $equal(converse(join(converse(X_342),join(X1,X0))),join(X_342,converse(join(X0,X1)))) )],[refute_1_519,refute_1_521]) ).
cnf(refute_1_523,plain,
( join(X_342,converse(join(X1,X0))) != join(X_342,converse(join(X0,X1)))
| join(X_342,converse(join(X0,X1))) = join(X_342,converse(join(X1,X0))) ),
inference(subst,[],[refute_1_5:[bind(X,$fot(join(X_342,converse(join(X1,X0))))),bind(Y,$fot(join(X_342,converse(join(X0,X1)))))]]) ).
cnf(refute_1_524,plain,
join(X_342,converse(join(X0,X1))) = join(X_342,converse(join(X1,X0))),
inference(resolve,[$cnf( $equal(join(X_342,converse(join(X1,X0))),join(X_342,converse(join(X0,X1)))) )],[refute_1_522,refute_1_523]) ).
cnf(refute_1_525,plain,
join(X_368,converse(join(complement(converse(X_368)),complement(top)))) = join(X_368,converse(join(complement(top),complement(converse(X_368))))),
inference(subst,[],[refute_1_524:[bind(X0,$fot(complement(converse(X_368)))),bind(X1,$fot(complement(top))),bind(X_342,$fot(X_368))]]) ).
cnf(refute_1_526,plain,
( join(X_368,converse(join(complement(converse(X_368)),complement(top)))) != join(X_368,converse(join(complement(top),complement(converse(X_368)))))
| join(X_368,converse(join(complement(top),complement(converse(X_368))))) != join(X_368,converse(join(zero,complement(converse(X_368)))))
| join(X_368,converse(join(complement(converse(X_368)),complement(top)))) = join(X_368,converse(join(zero,complement(converse(X_368))))) ),
inference(subst,[],[refute_1_10:[bind(X,$fot(join(X_368,converse(join(complement(converse(X_368)),complement(top)))))),bind(Y,$fot(join(X_368,converse(join(complement(top),complement(converse(X_368))))))),bind(Z,$fot(join(X_368,converse(join(zero,complement(converse(X_368)))))))]]) ).
cnf(refute_1_527,plain,
( join(X_368,converse(join(complement(top),complement(converse(X_368))))) != join(X_368,converse(join(zero,complement(converse(X_368)))))
| join(X_368,converse(join(complement(converse(X_368)),complement(top)))) = join(X_368,converse(join(zero,complement(converse(X_368))))) ),
inference(resolve,[$cnf( $equal(join(X_368,converse(join(complement(converse(X_368)),complement(top)))),join(X_368,converse(join(complement(top),complement(converse(X_368)))))) )],[refute_1_525,refute_1_526]) ).
cnf(refute_1_528,plain,
join(X_368,converse(join(complement(converse(X_368)),complement(top)))) = join(X_368,converse(join(zero,complement(converse(X_368))))),
inference(resolve,[$cnf( $equal(join(X_368,converse(join(complement(top),complement(converse(X_368))))),join(X_368,converse(join(zero,complement(converse(X_368)))))) )],[refute_1_513,refute_1_527]) ).
cnf(refute_1_529,plain,
( converse(top) != join(X_368,converse(join(complement(converse(X_368)),complement(top))))
| join(X_368,converse(join(complement(converse(X_368)),complement(top)))) != join(X_368,converse(join(zero,complement(converse(X_368)))))
| converse(top) = join(X_368,converse(join(zero,complement(converse(X_368))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(top),join(X_368,converse(join(zero,complement(converse(X_368)))))) ),[0],$fot(join(X_368,converse(join(complement(converse(X_368)),complement(top)))))]]) ).
cnf(refute_1_530,plain,
( converse(top) != join(X_368,converse(join(complement(converse(X_368)),complement(top))))
| converse(top) = join(X_368,converse(join(zero,complement(converse(X_368))))) ),
inference(resolve,[$cnf( $equal(join(X_368,converse(join(complement(converse(X_368)),complement(top)))),join(X_368,converse(join(zero,complement(converse(X_368)))))) )],[refute_1_528,refute_1_529]) ).
cnf(refute_1_531,plain,
converse(top) = join(X_368,converse(join(zero,complement(converse(X_368))))),
inference(resolve,[$cnf( $equal(converse(top),join(X_368,converse(join(complement(converse(X_368)),complement(top))))) )],[refute_1_501,refute_1_530]) ).
cnf(refute_1_532,plain,
converse(top) = join(meet(top,top),converse(join(zero,complement(converse(meet(top,top)))))),
inference(subst,[],[refute_1_531:[bind(X_368,$fot(meet(top,top)))]]) ).
cnf(refute_1_533,plain,
( converse(top) != join(meet(top,top),converse(join(zero,complement(converse(meet(top,top))))))
| join(meet(top,top),converse(join(zero,complement(converse(meet(top,top)))))) = converse(top) ),
inference(subst,[],[refute_1_5:[bind(X,$fot(converse(top))),bind(Y,$fot(join(meet(top,top),converse(join(zero,complement(converse(meet(top,top))))))))]]) ).
cnf(refute_1_534,plain,
join(meet(top,top),converse(join(zero,complement(converse(meet(top,top)))))) = converse(top),
inference(resolve,[$cnf( $equal(converse(top),join(meet(top,top),converse(join(zero,complement(converse(meet(top,top))))))) )],[refute_1_532,refute_1_533]) ).
cnf(refute_1_535,plain,
( join(converse(join(zero,complement(converse(meet(top,top))))),top) != join(zero,join(zero,join(meet(top,top),converse(join(zero,complement(converse(meet(top,top))))))))
| join(meet(top,top),converse(join(zero,complement(converse(meet(top,top)))))) != converse(top)
| join(converse(join(zero,complement(converse(meet(top,top))))),top) = join(zero,join(zero,converse(top))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(join(zero,complement(converse(meet(top,top))))),top),join(zero,join(zero,join(meet(top,top),converse(join(zero,complement(converse(meet(top,top))))))))) ),[1,1,1],$fot(converse(top))]]) ).
cnf(refute_1_536,plain,
( join(converse(join(zero,complement(converse(meet(top,top))))),top) != join(zero,join(zero,join(meet(top,top),converse(join(zero,complement(converse(meet(top,top))))))))
| join(converse(join(zero,complement(converse(meet(top,top))))),top) = join(zero,join(zero,converse(top))) ),
inference(resolve,[$cnf( $equal(join(meet(top,top),converse(join(zero,complement(converse(meet(top,top)))))),converse(top)) )],[refute_1_534,refute_1_535]) ).
cnf(refute_1_537,plain,
join(converse(join(zero,complement(converse(meet(top,top))))),top) = join(zero,join(zero,converse(top))),
inference(resolve,[$cnf( $equal(join(converse(join(zero,complement(converse(meet(top,top))))),top),join(zero,join(zero,join(meet(top,top),converse(join(zero,complement(converse(meet(top,top))))))))) )],[refute_1_494,refute_1_536]) ).
cnf(refute_1_538,plain,
join(converse(join(zero,complement(converse(meet(top,top))))),top) = join(top,converse(join(zero,complement(converse(meet(top,top)))))),
inference(subst,[],[refute_1_7:[bind(X0,$fot(top)),bind(X1,$fot(converse(join(zero,complement(converse(meet(top,top)))))))]]) ).
cnf(refute_1_539,plain,
( join(converse(join(zero,complement(converse(meet(top,top))))),top) != join(top,converse(join(zero,complement(converse(meet(top,top))))))
| join(converse(join(zero,complement(converse(meet(top,top))))),top) != join(zero,join(zero,converse(top)))
| join(top,converse(join(zero,complement(converse(meet(top,top)))))) = join(zero,join(zero,converse(top))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(join(zero,complement(converse(meet(top,top))))),top),join(zero,join(zero,converse(top)))) ),[0],$fot(join(top,converse(join(zero,complement(converse(meet(top,top)))))))]]) ).
cnf(refute_1_540,plain,
( join(converse(join(zero,complement(converse(meet(top,top))))),top) != join(zero,join(zero,converse(top)))
| join(top,converse(join(zero,complement(converse(meet(top,top)))))) = join(zero,join(zero,converse(top))) ),
inference(resolve,[$cnf( $equal(join(converse(join(zero,complement(converse(meet(top,top))))),top),join(top,converse(join(zero,complement(converse(meet(top,top))))))) )],[refute_1_538,refute_1_539]) ).
cnf(refute_1_541,plain,
( join(top,converse(join(zero,complement(converse(meet(top,top)))))) != join(zero,join(zero,converse(top)))
| join(zero,join(zero,converse(top))) != converse(top)
| join(top,converse(join(zero,complement(converse(meet(top,top)))))) = converse(top) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(top,converse(join(zero,complement(converse(meet(top,top)))))),converse(top)) ),[0],$fot(join(zero,join(zero,converse(top))))]]) ).
cnf(refute_1_542,plain,
( join(top,converse(join(zero,complement(converse(meet(top,top)))))) != join(zero,join(zero,converse(top)))
| join(top,converse(join(zero,complement(converse(meet(top,top)))))) = converse(top) ),
inference(resolve,[$cnf( $equal(join(zero,join(zero,converse(top))),converse(top)) )],[refute_1_454,refute_1_541]) ).
cnf(refute_1_543,plain,
( join(converse(join(zero,complement(converse(meet(top,top))))),top) != join(zero,join(zero,converse(top)))
| join(top,converse(join(zero,complement(converse(meet(top,top)))))) = converse(top) ),
inference(resolve,[$cnf( $equal(join(top,converse(join(zero,complement(converse(meet(top,top)))))),join(zero,join(zero,converse(top)))) )],[refute_1_540,refute_1_542]) ).
cnf(refute_1_544,plain,
join(top,converse(join(zero,complement(converse(meet(top,top)))))) = converse(top),
inference(resolve,[$cnf( $equal(join(converse(join(zero,complement(converse(meet(top,top))))),top),join(zero,join(zero,converse(top)))) )],[refute_1_537,refute_1_543]) ).
cnf(refute_1_545,plain,
( converse(join(converse(join(zero,complement(converse(meet(top,top))))),top)) != converse(join(top,converse(join(zero,complement(converse(meet(top,top)))))))
| join(top,converse(join(zero,complement(converse(meet(top,top)))))) != converse(top)
| converse(join(converse(join(zero,complement(converse(meet(top,top))))),top)) = converse(converse(top)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(join(zero,complement(converse(meet(top,top))))),top)),converse(join(top,converse(join(zero,complement(converse(meet(top,top)))))))) ),[1,0],$fot(converse(top))]]) ).
cnf(refute_1_546,plain,
( converse(join(converse(join(zero,complement(converse(meet(top,top))))),top)) != converse(join(top,converse(join(zero,complement(converse(meet(top,top)))))))
| converse(join(converse(join(zero,complement(converse(meet(top,top))))),top)) = converse(converse(top)) ),
inference(resolve,[$cnf( $equal(join(top,converse(join(zero,complement(converse(meet(top,top)))))),converse(top)) )],[refute_1_544,refute_1_545]) ).
cnf(refute_1_547,plain,
converse(join(converse(join(zero,complement(converse(meet(top,top))))),top)) = converse(converse(top)),
inference(resolve,[$cnf( $equal(converse(join(converse(join(zero,complement(converse(meet(top,top))))),top)),converse(join(top,converse(join(zero,complement(converse(meet(top,top)))))))) )],[refute_1_493,refute_1_546]) ).
cnf(refute_1_548,plain,
join(zero,join(converse(top),X2)) = join(join(zero,converse(top)),X2),
inference(subst,[],[refute_1_228:[bind(X0,$fot(zero)),bind(X1,$fot(converse(top)))]]) ).
cnf(refute_1_549,plain,
( join(zero,converse(top)) != converse(top)
| join(zero,join(converse(top),X2)) != join(join(zero,converse(top)),X2)
| join(zero,join(converse(top),X2)) = join(converse(top),X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,join(converse(top),X2)),join(join(zero,converse(top)),X2)) ),[1,0],$fot(converse(top))]]) ).
cnf(refute_1_550,plain,
( join(zero,join(converse(top),X2)) != join(join(zero,converse(top)),X2)
| join(zero,join(converse(top),X2)) = join(converse(top),X2) ),
inference(resolve,[$cnf( $equal(join(zero,converse(top)),converse(top)) )],[refute_1_447,refute_1_549]) ).
cnf(refute_1_551,plain,
join(zero,join(converse(top),X2)) = join(converse(top),X2),
inference(resolve,[$cnf( $equal(join(zero,join(converse(top),X2)),join(join(zero,converse(top)),X2)) )],[refute_1_548,refute_1_550]) ).
cnf(refute_1_552,plain,
join(zero,join(converse(top),complement(converse(meet(top,top))))) = join(converse(top),complement(converse(meet(top,top)))),
inference(subst,[],[refute_1_551:[bind(X2,$fot(complement(converse(meet(top,top)))))]]) ).
cnf(refute_1_553,plain,
( join(converse(top),complement(converse(meet(top,top)))) != join(top,converse(join(zero,zero)))
| join(zero,join(converse(top),complement(converse(meet(top,top))))) != join(converse(top),complement(converse(meet(top,top))))
| join(zero,join(converse(top),complement(converse(meet(top,top))))) = join(top,converse(join(zero,zero))) ),
inference(subst,[],[refute_1_10:[bind(X,$fot(join(zero,join(converse(top),complement(converse(meet(top,top))))))),bind(Y,$fot(join(converse(top),complement(converse(meet(top,top)))))),bind(Z,$fot(join(top,converse(join(zero,zero)))))]]) ).
cnf(refute_1_554,plain,
( join(converse(top),complement(converse(meet(top,top)))) != join(top,converse(join(zero,zero)))
| join(zero,join(converse(top),complement(converse(meet(top,top))))) = join(top,converse(join(zero,zero))) ),
inference(resolve,[$cnf( $equal(join(zero,join(converse(top),complement(converse(meet(top,top))))),join(converse(top),complement(converse(meet(top,top))))) )],[refute_1_552,refute_1_553]) ).
cnf(refute_1_555,plain,
join(zero,join(converse(top),complement(converse(meet(top,top))))) = join(top,converse(join(zero,zero))),
inference(resolve,[$cnf( $equal(join(converse(top),complement(converse(meet(top,top)))),join(top,converse(join(zero,zero)))) )],[refute_1_427,refute_1_554]) ).
cnf(refute_1_556,plain,
join(X_358,join(X_359,X_360)) = join(join(X_358,X_359),X_360),
inference(subst,[],[refute_1_228:[bind(X0,$fot(X_358)),bind(X1,$fot(X_359)),bind(X2,$fot(X_360))]]) ).
cnf(refute_1_557,plain,
join(X_359,X_358) = join(X_358,X_359),
inference(subst,[],[refute_1_2:[bind(X0,$fot(X_359)),bind(X1,$fot(X_358))]]) ).
cnf(refute_1_558,plain,
( join(X_359,X_358) != join(X_358,X_359)
| join(X_358,X_359) = join(X_359,X_358) ),
inference(subst,[],[refute_1_5:[bind(X,$fot(join(X_359,X_358))),bind(Y,$fot(join(X_358,X_359)))]]) ).
cnf(refute_1_559,plain,
join(X_358,X_359) = join(X_359,X_358),
inference(resolve,[$cnf( $equal(join(X_359,X_358),join(X_358,X_359)) )],[refute_1_557,refute_1_558]) ).
cnf(refute_1_560,plain,
( join(X_358,X_359) != join(X_359,X_358)
| join(X_358,join(X_359,X_360)) != join(join(X_358,X_359),X_360)
| join(X_358,join(X_359,X_360)) = join(join(X_359,X_358),X_360) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_358,join(X_359,X_360)),join(join(X_358,X_359),X_360)) ),[1,0],$fot(join(X_359,X_358))]]) ).
cnf(refute_1_561,plain,
( join(X_358,join(X_359,X_360)) != join(join(X_358,X_359),X_360)
| join(X_358,join(X_359,X_360)) = join(join(X_359,X_358),X_360) ),
inference(resolve,[$cnf( $equal(join(X_358,X_359),join(X_359,X_358)) )],[refute_1_559,refute_1_560]) ).
cnf(refute_1_562,plain,
join(X_358,join(X_359,X_360)) = join(join(X_359,X_358),X_360),
inference(resolve,[$cnf( $equal(join(X_358,join(X_359,X_360)),join(join(X_358,X_359),X_360)) )],[refute_1_556,refute_1_561]) ).
cnf(refute_1_563,plain,
join(join(X_359,X_358),X_360) = join(X_359,join(X_358,X_360)),
inference(subst,[],[refute_1_241:[bind(X0,$fot(X_359)),bind(X1,$fot(X_358)),bind(X2,$fot(X_360))]]) ).
cnf(refute_1_564,plain,
( join(X_358,join(X_359,X_360)) != join(join(X_359,X_358),X_360)
| join(join(X_359,X_358),X_360) != join(X_359,join(X_358,X_360))
| join(X_358,join(X_359,X_360)) = join(X_359,join(X_358,X_360)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_358,join(X_359,X_360)),join(X_359,join(X_358,X_360))) ),[0],$fot(join(join(X_359,X_358),X_360))]]) ).
cnf(refute_1_565,plain,
( join(X_358,join(X_359,X_360)) != join(join(X_359,X_358),X_360)
| join(X_358,join(X_359,X_360)) = join(X_359,join(X_358,X_360)) ),
inference(resolve,[$cnf( $equal(join(join(X_359,X_358),X_360),join(X_359,join(X_358,X_360))) )],[refute_1_563,refute_1_564]) ).
cnf(refute_1_566,plain,
join(X_358,join(X_359,X_360)) = join(X_359,join(X_358,X_360)),
inference(resolve,[$cnf( $equal(join(X_358,join(X_359,X_360)),join(join(X_359,X_358),X_360)) )],[refute_1_562,refute_1_565]) ).
cnf(refute_1_567,plain,
( join(X_358,join(X_359,X_360)) != join(X_359,join(X_358,X_360))
| join(X_359,join(X_358,X_360)) = join(X_358,join(X_359,X_360)) ),
inference(subst,[],[refute_1_5:[bind(X,$fot(join(X_358,join(X_359,X_360)))),bind(Y,$fot(join(X_359,join(X_358,X_360))))]]) ).
cnf(refute_1_568,plain,
join(X_359,join(X_358,X_360)) = join(X_358,join(X_359,X_360)),
inference(resolve,[$cnf( $equal(join(X_358,join(X_359,X_360)),join(X_359,join(X_358,X_360))) )],[refute_1_566,refute_1_567]) ).
cnf(refute_1_569,plain,
join(converse(top),join(zero,complement(converse(meet(top,top))))) = join(zero,join(converse(top),complement(converse(meet(top,top))))),
inference(subst,[],[refute_1_568:[bind(X_358,$fot(zero)),bind(X_359,$fot(converse(top))),bind(X_360,$fot(complement(converse(meet(top,top)))))]]) ).
cnf(refute_1_570,plain,
( join(converse(top),join(zero,complement(converse(meet(top,top))))) != join(zero,join(converse(top),complement(converse(meet(top,top)))))
| join(zero,join(converse(top),complement(converse(meet(top,top))))) != join(top,converse(join(zero,zero)))
| join(converse(top),join(zero,complement(converse(meet(top,top))))) = join(top,converse(join(zero,zero))) ),
inference(subst,[],[refute_1_10:[bind(X,$fot(join(converse(top),join(zero,complement(converse(meet(top,top))))))),bind(Y,$fot(join(zero,join(converse(top),complement(converse(meet(top,top))))))),bind(Z,$fot(join(top,converse(join(zero,zero)))))]]) ).
cnf(refute_1_571,plain,
( join(zero,join(converse(top),complement(converse(meet(top,top))))) != join(top,converse(join(zero,zero)))
| join(converse(top),join(zero,complement(converse(meet(top,top))))) = join(top,converse(join(zero,zero))) ),
inference(resolve,[$cnf( $equal(join(converse(top),join(zero,complement(converse(meet(top,top))))),join(zero,join(converse(top),complement(converse(meet(top,top)))))) )],[refute_1_569,refute_1_570]) ).
cnf(refute_1_572,plain,
join(converse(top),join(zero,complement(converse(meet(top,top))))) = join(top,converse(join(zero,zero))),
inference(resolve,[$cnf( $equal(join(zero,join(converse(top),complement(converse(meet(top,top))))),join(top,converse(join(zero,zero)))) )],[refute_1_555,refute_1_571]) ).
cnf(refute_1_573,plain,
converse(join(top,converse(join(zero,complement(converse(meet(top,top))))))) = join(converse(top),join(zero,complement(converse(meet(top,top))))),
inference(subst,[],[refute_1_364:[bind(X0,$fot(join(zero,complement(converse(meet(top,top)))))),bind(X_329,$fot(top))]]) ).
cnf(refute_1_574,plain,
( converse(join(top,converse(join(zero,complement(converse(meet(top,top))))))) != join(converse(top),join(zero,complement(converse(meet(top,top)))))
| join(converse(top),join(zero,complement(converse(meet(top,top))))) != join(top,converse(join(zero,zero)))
| converse(join(top,converse(join(zero,complement(converse(meet(top,top))))))) = join(top,converse(join(zero,zero))) ),
inference(subst,[],[refute_1_10:[bind(X,$fot(converse(join(top,converse(join(zero,complement(converse(meet(top,top))))))))),bind(Y,$fot(join(converse(top),join(zero,complement(converse(meet(top,top))))))),bind(Z,$fot(join(top,converse(join(zero,zero)))))]]) ).
cnf(refute_1_575,plain,
( join(converse(top),join(zero,complement(converse(meet(top,top))))) != join(top,converse(join(zero,zero)))
| converse(join(top,converse(join(zero,complement(converse(meet(top,top))))))) = join(top,converse(join(zero,zero))) ),
inference(resolve,[$cnf( $equal(converse(join(top,converse(join(zero,complement(converse(meet(top,top))))))),join(converse(top),join(zero,complement(converse(meet(top,top)))))) )],[refute_1_573,refute_1_574]) ).
cnf(refute_1_576,plain,
converse(join(top,converse(join(zero,complement(converse(meet(top,top))))))) = join(top,converse(join(zero,zero))),
inference(resolve,[$cnf( $equal(join(converse(top),join(zero,complement(converse(meet(top,top))))),join(top,converse(join(zero,zero)))) )],[refute_1_572,refute_1_575]) ).
cnf(refute_1_577,plain,
( converse(join(converse(join(zero,complement(converse(meet(top,top))))),top)) != converse(join(top,converse(join(zero,complement(converse(meet(top,top)))))))
| converse(join(top,converse(join(zero,complement(converse(meet(top,top))))))) != join(top,converse(join(zero,zero)))
| converse(join(converse(join(zero,complement(converse(meet(top,top))))),top)) = join(top,converse(join(zero,zero))) ),
inference(subst,[],[refute_1_10:[bind(X,$fot(converse(join(converse(join(zero,complement(converse(meet(top,top))))),top)))),bind(Y,$fot(converse(join(top,converse(join(zero,complement(converse(meet(top,top))))))))),bind(Z,$fot(join(top,converse(join(zero,zero)))))]]) ).
cnf(refute_1_578,plain,
( converse(join(top,converse(join(zero,complement(converse(meet(top,top))))))) != join(top,converse(join(zero,zero)))
| converse(join(converse(join(zero,complement(converse(meet(top,top))))),top)) = join(top,converse(join(zero,zero))) ),
inference(resolve,[$cnf( $equal(converse(join(converse(join(zero,complement(converse(meet(top,top))))),top)),converse(join(top,converse(join(zero,complement(converse(meet(top,top)))))))) )],[refute_1_493,refute_1_577]) ).
cnf(refute_1_579,plain,
converse(join(converse(join(zero,complement(converse(meet(top,top))))),top)) = join(top,converse(join(zero,zero))),
inference(resolve,[$cnf( $equal(converse(join(top,converse(join(zero,complement(converse(meet(top,top))))))),join(top,converse(join(zero,zero)))) )],[refute_1_576,refute_1_578]) ).
cnf(refute_1_580,plain,
( converse(join(converse(join(zero,complement(converse(meet(top,top))))),top)) != converse(converse(top))
| converse(join(converse(join(zero,complement(converse(meet(top,top))))),top)) != join(top,converse(join(zero,zero)))
| join(top,converse(join(zero,zero))) = converse(converse(top)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(join(zero,complement(converse(meet(top,top))))),top)),converse(converse(top))) ),[0],$fot(join(top,converse(join(zero,zero))))]]) ).
cnf(refute_1_581,plain,
( converse(join(converse(join(zero,complement(converse(meet(top,top))))),top)) != converse(converse(top))
| join(top,converse(join(zero,zero))) = converse(converse(top)) ),
inference(resolve,[$cnf( $equal(converse(join(converse(join(zero,complement(converse(meet(top,top))))),top)),join(top,converse(join(zero,zero)))) )],[refute_1_579,refute_1_580]) ).
cnf(refute_1_582,plain,
converse(converse(top)) = top,
inference(subst,[],[refute_1_30:[bind(X0,$fot(top))]]) ).
cnf(refute_1_583,plain,
( converse(converse(top)) != top
| join(top,converse(join(zero,zero))) != converse(converse(top))
| join(top,converse(join(zero,zero))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(top,converse(join(zero,zero))),converse(converse(top))) ),[1],$fot(top)]]) ).
cnf(refute_1_584,plain,
( join(top,converse(join(zero,zero))) != converse(converse(top))
| join(top,converse(join(zero,zero))) = top ),
inference(resolve,[$cnf( $equal(converse(converse(top)),top) )],[refute_1_582,refute_1_583]) ).
cnf(refute_1_585,plain,
( converse(join(converse(join(zero,complement(converse(meet(top,top))))),top)) != converse(converse(top))
| join(top,converse(join(zero,zero))) = top ),
inference(resolve,[$cnf( $equal(join(top,converse(join(zero,zero))),converse(converse(top))) )],[refute_1_581,refute_1_584]) ).
cnf(refute_1_586,plain,
join(top,converse(join(zero,zero))) = top,
inference(resolve,[$cnf( $equal(converse(join(converse(join(zero,complement(converse(meet(top,top))))),top)),converse(converse(top))) )],[refute_1_547,refute_1_585]) ).
cnf(refute_1_587,plain,
( join(converse(top),complement(converse(meet(top,top)))) != join(top,converse(join(zero,zero)))
| join(top,converse(join(zero,zero))) != top
| join(converse(top),complement(converse(meet(top,top)))) = top ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(converse(top),complement(converse(meet(top,top)))),top) ),[0],$fot(join(top,converse(join(zero,zero))))]]) ).
cnf(refute_1_588,plain,
( join(converse(top),complement(converse(meet(top,top)))) != join(top,converse(join(zero,zero)))
| join(converse(top),complement(converse(meet(top,top)))) = top ),
inference(resolve,[$cnf( $equal(join(top,converse(join(zero,zero))),top) )],[refute_1_586,refute_1_587]) ).
cnf(refute_1_589,plain,
join(converse(top),complement(converse(meet(top,top)))) = top,
inference(resolve,[$cnf( $equal(join(converse(top),complement(converse(meet(top,top)))),join(top,converse(join(zero,zero)))) )],[refute_1_427,refute_1_588]) ).
cnf(refute_1_590,plain,
converse(top) = join(complement(X_385),join(complement(X_385),converse(complement(converse(join(complement(X_385),complement(X_385))))))),
inference(subst,[],[refute_1_291:[bind(X_358,$fot(complement(X_385))),bind(X_359,$fot(complement(X_385)))]]) ).
cnf(refute_1_591,plain,
join(complement(X_385),complement(X_385)) = complement(X_385),
inference(subst,[],[refute_1_173:[bind(X1,$fot(X_385))]]) ).
cnf(refute_1_592,plain,
( converse(top) != join(complement(X_385),join(complement(X_385),converse(complement(converse(join(complement(X_385),complement(X_385)))))))
| join(complement(X_385),complement(X_385)) != complement(X_385)
| converse(top) = join(complement(X_385),join(complement(X_385),converse(complement(converse(complement(X_385)))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(top),join(complement(X_385),join(complement(X_385),converse(complement(converse(join(complement(X_385),complement(X_385)))))))) ),[1,1,1,0,0,0],$fot(complement(X_385))]]) ).
cnf(refute_1_593,plain,
( converse(top) != join(complement(X_385),join(complement(X_385),converse(complement(converse(join(complement(X_385),complement(X_385)))))))
| converse(top) = join(complement(X_385),join(complement(X_385),converse(complement(converse(complement(X_385)))))) ),
inference(resolve,[$cnf( $equal(join(complement(X_385),complement(X_385)),complement(X_385)) )],[refute_1_591,refute_1_592]) ).
cnf(refute_1_594,plain,
converse(top) = join(complement(X_385),join(complement(X_385),converse(complement(converse(complement(X_385)))))),
inference(resolve,[$cnf( $equal(converse(top),join(complement(X_385),join(complement(X_385),converse(complement(converse(join(complement(X_385),complement(X_385)))))))) )],[refute_1_590,refute_1_593]) ).
cnf(refute_1_595,plain,
join(X_358,join(converse(complement(converse(X_358))),X_360)) = join(join(X_358,converse(complement(converse(X_358)))),X_360),
inference(subst,[],[refute_1_228:[bind(X0,$fot(X_358)),bind(X1,$fot(converse(complement(converse(X_358))))),bind(X2,$fot(X_360))]]) ).
cnf(refute_1_596,plain,
converse(top) = join(X_358,converse(complement(converse(X_358)))),
inference(subst,[],[refute_1_284:[bind(X_342,$fot(X_358))]]) ).
cnf(refute_1_597,plain,
( converse(top) != join(X_358,converse(complement(converse(X_358))))
| join(X_358,converse(complement(converse(X_358)))) = converse(top) ),
inference(subst,[],[refute_1_5:[bind(X,$fot(converse(top))),bind(Y,$fot(join(X_358,converse(complement(converse(X_358))))))]]) ).
cnf(refute_1_598,plain,
join(X_358,converse(complement(converse(X_358)))) = converse(top),
inference(resolve,[$cnf( $equal(converse(top),join(X_358,converse(complement(converse(X_358))))) )],[refute_1_596,refute_1_597]) ).
cnf(refute_1_599,plain,
( join(X_358,converse(complement(converse(X_358)))) != converse(top)
| join(X_358,join(converse(complement(converse(X_358))),X_360)) != join(join(X_358,converse(complement(converse(X_358)))),X_360)
| join(X_358,join(converse(complement(converse(X_358))),X_360)) = join(converse(top),X_360) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_358,join(converse(complement(converse(X_358))),X_360)),join(join(X_358,converse(complement(converse(X_358)))),X_360)) ),[1,0],$fot(converse(top))]]) ).
cnf(refute_1_600,plain,
( join(X_358,join(converse(complement(converse(X_358))),X_360)) != join(join(X_358,converse(complement(converse(X_358)))),X_360)
| join(X_358,join(converse(complement(converse(X_358))),X_360)) = join(converse(top),X_360) ),
inference(resolve,[$cnf( $equal(join(X_358,converse(complement(converse(X_358)))),converse(top)) )],[refute_1_598,refute_1_599]) ).
cnf(refute_1_601,plain,
join(X_358,join(converse(complement(converse(X_358))),X_360)) = join(converse(top),X_360),
inference(resolve,[$cnf( $equal(join(X_358,join(converse(complement(converse(X_358))),X_360)),join(join(X_358,converse(complement(converse(X_358)))),X_360)) )],[refute_1_595,refute_1_600]) ).
cnf(refute_1_602,plain,
join(X_373,join(converse(complement(converse(X_373))),X_374)) = join(converse(top),X_374),
inference(subst,[],[refute_1_601:[bind(X_358,$fot(X_373)),bind(X_360,$fot(X_374))]]) ).
cnf(refute_1_603,plain,
join(X_374,converse(complement(converse(X_373)))) = join(converse(complement(converse(X_373))),X_374),
inference(subst,[],[refute_1_2:[bind(X0,$fot(X_374)),bind(X1,$fot(converse(complement(converse(X_373)))))]]) ).
cnf(refute_1_604,plain,
( join(X_374,converse(complement(converse(X_373)))) != join(converse(complement(converse(X_373))),X_374)
| join(converse(complement(converse(X_373))),X_374) = join(X_374,converse(complement(converse(X_373)))) ),
inference(subst,[],[refute_1_5:[bind(X,$fot(join(X_374,converse(complement(converse(X_373)))))),bind(Y,$fot(join(converse(complement(converse(X_373))),X_374)))]]) ).
cnf(refute_1_605,plain,
join(converse(complement(converse(X_373))),X_374) = join(X_374,converse(complement(converse(X_373)))),
inference(resolve,[$cnf( $equal(join(X_374,converse(complement(converse(X_373)))),join(converse(complement(converse(X_373))),X_374)) )],[refute_1_603,refute_1_604]) ).
cnf(refute_1_606,plain,
( join(X_373,join(converse(complement(converse(X_373))),X_374)) != join(converse(top),X_374)
| join(converse(complement(converse(X_373))),X_374) != join(X_374,converse(complement(converse(X_373))))
| join(X_373,join(X_374,converse(complement(converse(X_373))))) = join(converse(top),X_374) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_373,join(converse(complement(converse(X_373))),X_374)),join(converse(top),X_374)) ),[0,1],$fot(join(X_374,converse(complement(converse(X_373)))))]]) ).
cnf(refute_1_607,plain,
( join(X_373,join(converse(complement(converse(X_373))),X_374)) != join(converse(top),X_374)
| join(X_373,join(X_374,converse(complement(converse(X_373))))) = join(converse(top),X_374) ),
inference(resolve,[$cnf( $equal(join(converse(complement(converse(X_373))),X_374),join(X_374,converse(complement(converse(X_373))))) )],[refute_1_605,refute_1_606]) ).
cnf(refute_1_608,plain,
join(X_373,join(X_374,converse(complement(converse(X_373))))) = join(converse(top),X_374),
inference(resolve,[$cnf( $equal(join(X_373,join(converse(complement(converse(X_373))),X_374)),join(converse(top),X_374)) )],[refute_1_602,refute_1_607]) ).
cnf(refute_1_609,plain,
join(complement(X_385),join(complement(X_385),converse(complement(converse(complement(X_385)))))) = join(converse(top),complement(X_385)),
inference(subst,[],[refute_1_608:[bind(X_373,$fot(complement(X_385))),bind(X_374,$fot(complement(X_385)))]]) ).
cnf(refute_1_610,plain,
( converse(top) != join(complement(X_385),join(complement(X_385),converse(complement(converse(complement(X_385))))))
| join(complement(X_385),join(complement(X_385),converse(complement(converse(complement(X_385)))))) != join(converse(top),complement(X_385))
| converse(top) = join(converse(top),complement(X_385)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(top),join(converse(top),complement(X_385))) ),[0],$fot(join(complement(X_385),join(complement(X_385),converse(complement(converse(complement(X_385)))))))]]) ).
cnf(refute_1_611,plain,
( converse(top) != join(complement(X_385),join(complement(X_385),converse(complement(converse(complement(X_385))))))
| converse(top) = join(converse(top),complement(X_385)) ),
inference(resolve,[$cnf( $equal(join(complement(X_385),join(complement(X_385),converse(complement(converse(complement(X_385)))))),join(converse(top),complement(X_385))) )],[refute_1_609,refute_1_610]) ).
cnf(refute_1_612,plain,
converse(top) = join(converse(top),complement(X_385)),
inference(resolve,[$cnf( $equal(converse(top),join(complement(X_385),join(complement(X_385),converse(complement(converse(complement(X_385))))))) )],[refute_1_594,refute_1_611]) ).
cnf(refute_1_613,plain,
( converse(top) != join(converse(top),complement(X_385))
| join(converse(top),complement(X_385)) = converse(top) ),
inference(subst,[],[refute_1_5:[bind(X,$fot(converse(top))),bind(Y,$fot(join(converse(top),complement(X_385))))]]) ).
cnf(refute_1_614,plain,
join(converse(top),complement(X_385)) = converse(top),
inference(resolve,[$cnf( $equal(converse(top),join(converse(top),complement(X_385))) )],[refute_1_612,refute_1_613]) ).
cnf(refute_1_615,plain,
join(converse(top),complement(converse(meet(top,top)))) = converse(top),
inference(subst,[],[refute_1_614:[bind(X_385,$fot(converse(meet(top,top))))]]) ).
cnf(refute_1_616,plain,
( join(converse(top),complement(converse(meet(top,top)))) != converse(top)
| join(converse(top),complement(converse(meet(top,top)))) != top
| converse(top) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(top),complement(converse(meet(top,top)))),top) ),[0],$fot(converse(top))]]) ).
cnf(refute_1_617,plain,
( join(converse(top),complement(converse(meet(top,top)))) != top
| converse(top) = top ),
inference(resolve,[$cnf( $equal(join(converse(top),complement(converse(meet(top,top)))),converse(top)) )],[refute_1_615,refute_1_616]) ).
cnf(refute_1_618,plain,
converse(top) = top,
inference(resolve,[$cnf( $equal(join(converse(top),complement(converse(meet(top,top)))),top) )],[refute_1_589,refute_1_617]) ).
cnf(refute_1_619,plain,
( converse(top) != top
| join(X_372,join(top,converse(complement(converse(join(complement(zero),X_372)))))) != converse(top)
| join(X_372,join(top,converse(complement(converse(join(complement(zero),X_372)))))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(X_372,join(top,converse(complement(converse(join(complement(zero),X_372)))))),converse(top)) ),[1],$fot(top)]]) ).
cnf(refute_1_620,plain,
( join(X_372,join(top,converse(complement(converse(join(complement(zero),X_372)))))) != converse(top)
| join(X_372,join(top,converse(complement(converse(join(complement(zero),X_372)))))) = top ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_1_618,refute_1_619]) ).
cnf(refute_1_621,plain,
( join(X_372,join(top,converse(complement(converse(join(meet(top,top),X_372)))))) != converse(top)
| join(X_372,join(top,converse(complement(converse(join(complement(zero),X_372)))))) = top ),
inference(resolve,[$cnf( $equal(join(X_372,join(top,converse(complement(converse(join(complement(zero),X_372)))))),converse(top)) )],[refute_1_492,refute_1_620]) ).
cnf(refute_1_622,plain,
join(X_372,join(top,converse(complement(converse(join(complement(zero),X_372)))))) = top,
inference(resolve,[$cnf( $equal(join(X_372,join(top,converse(complement(converse(join(meet(top,top),X_372)))))),converse(top)) )],[refute_1_458,refute_1_621]) ).
cnf(refute_1_623,plain,
join(X_373,join(converse(complement(converse(X_373))),complement(converse(complement(converse(X_373)))))) = join(converse(top),complement(converse(complement(converse(X_373))))),
inference(subst,[],[refute_1_601:[bind(X_358,$fot(X_373)),bind(X_360,$fot(complement(converse(complement(converse(X_373))))))]]) ).
cnf(refute_1_624,plain,
top = join(converse(complement(converse(X_373))),complement(converse(complement(converse(X_373))))),
inference(subst,[],[refute_1_54:[bind(X0,$fot(converse(complement(converse(X_373)))))]]) ).
cnf(refute_1_625,plain,
( top != join(converse(complement(converse(X_373))),complement(converse(complement(converse(X_373)))))
| join(converse(complement(converse(X_373))),complement(converse(complement(converse(X_373))))) = top ),
inference(subst,[],[refute_1_5:[bind(X,$fot(top)),bind(Y,$fot(join(converse(complement(converse(X_373))),complement(converse(complement(converse(X_373)))))))]]) ).
cnf(refute_1_626,plain,
join(converse(complement(converse(X_373))),complement(converse(complement(converse(X_373))))) = top,
inference(resolve,[$cnf( $equal(top,join(converse(complement(converse(X_373))),complement(converse(complement(converse(X_373)))))) )],[refute_1_624,refute_1_625]) ).
cnf(refute_1_627,plain,
( join(X_373,join(converse(complement(converse(X_373))),complement(converse(complement(converse(X_373)))))) != join(converse(top),complement(converse(complement(converse(X_373)))))
| join(converse(complement(converse(X_373))),complement(converse(complement(converse(X_373))))) != top
| join(X_373,top) = join(converse(top),complement(converse(complement(converse(X_373))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_373,join(converse(complement(converse(X_373))),complement(converse(complement(converse(X_373)))))),join(converse(top),complement(converse(complement(converse(X_373)))))) ),[0,1],$fot(top)]]) ).
cnf(refute_1_628,plain,
( join(X_373,join(converse(complement(converse(X_373))),complement(converse(complement(converse(X_373)))))) != join(converse(top),complement(converse(complement(converse(X_373)))))
| join(X_373,top) = join(converse(top),complement(converse(complement(converse(X_373))))) ),
inference(resolve,[$cnf( $equal(join(converse(complement(converse(X_373))),complement(converse(complement(converse(X_373))))),top) )],[refute_1_626,refute_1_627]) ).
cnf(refute_1_629,plain,
join(X_373,top) = join(converse(top),complement(converse(complement(converse(X_373))))),
inference(resolve,[$cnf( $equal(join(X_373,join(converse(complement(converse(X_373))),complement(converse(complement(converse(X_373)))))),join(converse(top),complement(converse(complement(converse(X_373)))))) )],[refute_1_623,refute_1_628]) ).
cnf(refute_1_630,plain,
join(converse(X0),top) = join(converse(top),complement(converse(complement(converse(converse(X0)))))),
inference(subst,[],[refute_1_629:[bind(X_373,$fot(converse(X0)))]]) ).
cnf(refute_1_631,plain,
( converse(converse(X0)) != X0
| join(converse(X0),top) != join(converse(top),complement(converse(complement(converse(converse(X0))))))
| join(converse(X0),top) = join(converse(top),complement(converse(complement(X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(X0),top),join(converse(top),complement(converse(complement(converse(converse(X0))))))) ),[1,1,0,0,0],$fot(X0)]]) ).
cnf(refute_1_632,plain,
( join(converse(X0),top) != join(converse(top),complement(converse(complement(converse(converse(X0))))))
| join(converse(X0),top) = join(converse(top),complement(converse(complement(X0)))) ),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_1_30,refute_1_631]) ).
cnf(refute_1_633,plain,
join(converse(X0),top) = join(converse(top),complement(converse(complement(X0)))),
inference(resolve,[$cnf( $equal(join(converse(X0),top),join(converse(top),complement(converse(complement(converse(converse(X0))))))) )],[refute_1_630,refute_1_632]) ).
cnf(refute_1_634,plain,
join(converse(X0),top) = join(top,converse(X0)),
inference(subst,[],[refute_1_7:[bind(X0,$fot(top)),bind(X1,$fot(converse(X0)))]]) ).
cnf(refute_1_635,plain,
( join(converse(X0),top) != join(converse(top),complement(converse(complement(X0))))
| join(converse(X0),top) != join(top,converse(X0))
| join(top,converse(X0)) = join(converse(top),complement(converse(complement(X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(X0),top),join(converse(top),complement(converse(complement(X0))))) ),[0],$fot(join(top,converse(X0)))]]) ).
cnf(refute_1_636,plain,
( join(converse(X0),top) != join(converse(top),complement(converse(complement(X0))))
| join(top,converse(X0)) = join(converse(top),complement(converse(complement(X0)))) ),
inference(resolve,[$cnf( $equal(join(converse(X0),top),join(top,converse(X0))) )],[refute_1_634,refute_1_635]) ).
cnf(refute_1_637,plain,
join(top,converse(X0)) = join(converse(top),complement(converse(complement(X0)))),
inference(resolve,[$cnf( $equal(join(converse(X0),top),join(converse(top),complement(converse(complement(X0))))) )],[refute_1_633,refute_1_636]) ).
cnf(refute_1_638,plain,
join(converse(top),complement(converse(complement(X0)))) = converse(top),
inference(subst,[],[refute_1_614:[bind(X_385,$fot(converse(complement(X0))))]]) ).
cnf(refute_1_639,plain,
( converse(top) != top
| join(converse(top),complement(converse(complement(X0)))) != converse(top)
| join(converse(top),complement(converse(complement(X0)))) = top ),
inference(subst,[],[refute_1_10:[bind(X,$fot(join(converse(top),complement(converse(complement(X0)))))),bind(Y,$fot(converse(top))),bind(Z,$fot(top))]]) ).
cnf(refute_1_640,plain,
( converse(top) != top
| join(converse(top),complement(converse(complement(X0)))) = top ),
inference(resolve,[$cnf( $equal(join(converse(top),complement(converse(complement(X0)))),converse(top)) )],[refute_1_638,refute_1_639]) ).
cnf(refute_1_641,plain,
join(converse(top),complement(converse(complement(X0)))) = top,
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_1_618,refute_1_640]) ).
cnf(refute_1_642,plain,
( join(converse(top),complement(converse(complement(X0)))) != top
| join(top,converse(X0)) != join(converse(top),complement(converse(complement(X0))))
| join(top,converse(X0)) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(top,converse(X0)),join(converse(top),complement(converse(complement(X0))))) ),[1],$fot(top)]]) ).
cnf(refute_1_643,plain,
( join(top,converse(X0)) != join(converse(top),complement(converse(complement(X0))))
| join(top,converse(X0)) = top ),
inference(resolve,[$cnf( $equal(join(converse(top),complement(converse(complement(X0)))),top) )],[refute_1_641,refute_1_642]) ).
cnf(refute_1_644,plain,
join(top,converse(X0)) = top,
inference(resolve,[$cnf( $equal(join(top,converse(X0)),join(converse(top),complement(converse(complement(X0))))) )],[refute_1_637,refute_1_643]) ).
cnf(refute_1_645,plain,
join(top,converse(complement(converse(join(complement(zero),X_372))))) = top,
inference(subst,[],[refute_1_644:[bind(X0,$fot(complement(converse(join(complement(zero),X_372)))))]]) ).
cnf(refute_1_646,plain,
join(X_372,join(top,converse(complement(converse(join(complement(zero),X_372)))))) = join(X_372,join(top,converse(complement(converse(join(complement(zero),X_372)))))),
introduced(tautology,[refl,[$fot(join(X_372,join(top,converse(complement(converse(join(complement(zero),X_372)))))))]]) ).
cnf(refute_1_647,plain,
( join(X_372,join(top,converse(complement(converse(join(complement(zero),X_372)))))) != join(X_372,join(top,converse(complement(converse(join(complement(zero),X_372))))))
| join(top,converse(complement(converse(join(complement(zero),X_372))))) != top
| join(X_372,join(top,converse(complement(converse(join(complement(zero),X_372)))))) = join(X_372,top) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_372,join(top,converse(complement(converse(join(complement(zero),X_372)))))),join(X_372,join(top,converse(complement(converse(join(complement(zero),X_372))))))) ),[1,1],$fot(top)]]) ).
cnf(refute_1_648,plain,
( join(top,converse(complement(converse(join(complement(zero),X_372))))) != top
| join(X_372,join(top,converse(complement(converse(join(complement(zero),X_372)))))) = join(X_372,top) ),
inference(resolve,[$cnf( $equal(join(X_372,join(top,converse(complement(converse(join(complement(zero),X_372)))))),join(X_372,join(top,converse(complement(converse(join(complement(zero),X_372))))))) )],[refute_1_646,refute_1_647]) ).
cnf(refute_1_649,plain,
join(X_372,join(top,converse(complement(converse(join(complement(zero),X_372)))))) = join(X_372,top),
inference(resolve,[$cnf( $equal(join(top,converse(complement(converse(join(complement(zero),X_372))))),top) )],[refute_1_645,refute_1_648]) ).
cnf(refute_1_650,plain,
( join(X_372,join(top,converse(complement(converse(join(complement(zero),X_372)))))) != join(X_372,top)
| join(X_372,join(top,converse(complement(converse(join(complement(zero),X_372)))))) != top
| join(X_372,top) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(X_372,join(top,converse(complement(converse(join(complement(zero),X_372)))))),top) ),[0],$fot(join(X_372,top))]]) ).
cnf(refute_1_651,plain,
( join(X_372,join(top,converse(complement(converse(join(complement(zero),X_372)))))) != top
| join(X_372,top) = top ),
inference(resolve,[$cnf( $equal(join(X_372,join(top,converse(complement(converse(join(complement(zero),X_372)))))),join(X_372,top)) )],[refute_1_649,refute_1_650]) ).
cnf(refute_1_652,plain,
join(X_372,top) = top,
inference(resolve,[$cnf( $equal(join(X_372,join(top,converse(complement(converse(join(complement(zero),X_372)))))),top) )],[refute_1_622,refute_1_651]) ).
cnf(refute_1_653,plain,
join(complement(X_387),top) = top,
inference(subst,[],[refute_1_652:[bind(X_372,$fot(complement(X_387)))]]) ).
cnf(refute_1_654,plain,
complement(join(complement(X_387),top)) = complement(join(complement(X_387),top)),
introduced(tautology,[refl,[$fot(complement(join(complement(X_387),top)))]]) ).
cnf(refute_1_655,plain,
( complement(join(complement(X_387),top)) != complement(join(complement(X_387),top))
| join(complement(X_387),top) != top
| complement(join(complement(X_387),top)) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(X_387),top)),complement(join(complement(X_387),top))) ),[1,0],$fot(top)]]) ).
cnf(refute_1_656,plain,
( join(complement(X_387),top) != top
| complement(join(complement(X_387),top)) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_387),top)),complement(join(complement(X_387),top))) )],[refute_1_654,refute_1_655]) ).
cnf(refute_1_657,plain,
complement(join(complement(X_387),top)) = complement(top),
inference(resolve,[$cnf( $equal(join(complement(X_387),top),top) )],[refute_1_653,refute_1_656]) ).
cnf(refute_1_658,plain,
( complement(join(complement(X_387),top)) != complement(top)
| complement(top) != zero
| complement(join(complement(X_387),top)) = zero ),
inference(subst,[],[refute_1_10:[bind(X,$fot(complement(join(complement(X_387),top)))),bind(Y,$fot(complement(top))),bind(Z,$fot(zero))]]) ).
cnf(refute_1_659,plain,
( complement(top) != zero
| complement(join(complement(X_387),top)) = zero ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_387),top)),complement(top)) )],[refute_1_657,refute_1_658]) ).
cnf(refute_1_660,plain,
complement(join(complement(X_387),top)) = zero,
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_1_74,refute_1_659]) ).
cnf(refute_1_661,plain,
join(meet(top,X_387),complement(join(complement(X_387),top))) = join(meet(top,X_387),complement(join(complement(X_387),top))),
introduced(tautology,[refl,[$fot(join(meet(top,X_387),complement(join(complement(X_387),top))))]]) ).
cnf(refute_1_662,plain,
( complement(join(complement(X_387),top)) != zero
| join(meet(top,X_387),complement(join(complement(X_387),top))) != join(meet(top,X_387),complement(join(complement(X_387),top)))
| join(meet(top,X_387),complement(join(complement(X_387),top))) = join(meet(top,X_387),zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(top,X_387),complement(join(complement(X_387),top))),join(meet(top,X_387),complement(join(complement(X_387),top)))) ),[1,1],$fot(zero)]]) ).
cnf(refute_1_663,plain,
( complement(join(complement(X_387),top)) != zero
| join(meet(top,X_387),complement(join(complement(X_387),top))) = join(meet(top,X_387),zero) ),
inference(resolve,[$cnf( $equal(join(meet(top,X_387),complement(join(complement(X_387),top))),join(meet(top,X_387),complement(join(complement(X_387),top)))) )],[refute_1_661,refute_1_662]) ).
cnf(refute_1_664,plain,
join(meet(top,X_387),complement(join(complement(X_387),top))) = join(meet(top,X_387),zero),
inference(resolve,[$cnf( $equal(complement(join(complement(X_387),top)),zero) )],[refute_1_660,refute_1_663]) ).
cnf(refute_1_665,plain,
( join(meet(top,X_387),complement(join(complement(X_387),top))) != join(meet(top,X_387),zero)
| join(meet(top,X_387),zero) != join(zero,meet(top,X_387))
| join(meet(top,X_387),complement(join(complement(X_387),top))) = join(zero,meet(top,X_387)) ),
inference(subst,[],[refute_1_10:[bind(X,$fot(join(meet(top,X_387),complement(join(complement(X_387),top))))),bind(Y,$fot(join(meet(top,X_387),zero))),bind(Z,$fot(join(zero,meet(top,X_387))))]]) ).
cnf(refute_1_666,plain,
( join(meet(top,X_387),zero) != join(zero,meet(top,X_387))
| join(meet(top,X_387),complement(join(complement(X_387),top))) = join(zero,meet(top,X_387)) ),
inference(resolve,[$cnf( $equal(join(meet(top,X_387),complement(join(complement(X_387),top))),join(meet(top,X_387),zero)) )],[refute_1_664,refute_1_665]) ).
cnf(refute_1_667,plain,
join(meet(top,X_387),complement(join(complement(X_387),top))) = join(zero,meet(top,X_387)),
inference(resolve,[$cnf( $equal(join(meet(top,X_387),zero),join(zero,meet(top,X_387))) )],[refute_1_227,refute_1_666]) ).
cnf(refute_1_668,plain,
( X_387 != join(meet(top,X_387),complement(join(complement(X_387),top)))
| join(meet(top,X_387),complement(join(complement(X_387),top))) != join(zero,meet(top,X_387))
| X_387 = join(zero,meet(top,X_387)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_387,join(zero,meet(top,X_387))) ),[0],$fot(join(meet(top,X_387),complement(join(complement(X_387),top))))]]) ).
cnf(refute_1_669,plain,
( X_387 != join(meet(top,X_387),complement(join(complement(X_387),top)))
| X_387 = join(zero,meet(top,X_387)) ),
inference(resolve,[$cnf( $equal(join(meet(top,X_387),complement(join(complement(X_387),top))),join(zero,meet(top,X_387))) )],[refute_1_667,refute_1_668]) ).
cnf(refute_1_670,plain,
X_387 = join(zero,meet(top,X_387)),
inference(resolve,[$cnf( $equal(X_387,join(meet(top,X_387),complement(join(complement(X_387),top)))) )],[refute_1_226,refute_1_669]) ).
cnf(refute_1_671,plain,
complement(X_391) = join(zero,meet(top,complement(X_391))),
inference(subst,[],[refute_1_670:[bind(X_387,$fot(complement(X_391)))]]) ).
cnf(refute_1_672,plain,
meet(top,complement(X_390)) = complement(join(zero,complement(complement(X_390)))),
inference(subst,[],[refute_1_208:[bind(X1,$fot(complement(X_390)))]]) ).
cnf(refute_1_673,plain,
X_390 = join(zero,complement(complement(X_390))),
inference(subst,[],[refute_1_199:[bind(X_387,$fot(X_390))]]) ).
cnf(refute_1_674,plain,
( X_390 != join(zero,complement(complement(X_390)))
| join(zero,complement(complement(X_390))) = X_390 ),
inference(subst,[],[refute_1_5:[bind(X,$fot(X_390)),bind(Y,$fot(join(zero,complement(complement(X_390)))))]]) ).
cnf(refute_1_675,plain,
join(zero,complement(complement(X_390))) = X_390,
inference(resolve,[$cnf( $equal(X_390,join(zero,complement(complement(X_390)))) )],[refute_1_673,refute_1_674]) ).
cnf(refute_1_676,plain,
( join(zero,complement(complement(X_390))) != X_390
| meet(top,complement(X_390)) != complement(join(zero,complement(complement(X_390))))
| meet(top,complement(X_390)) = complement(X_390) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,complement(X_390)),complement(join(zero,complement(complement(X_390))))) ),[1,0],$fot(X_390)]]) ).
cnf(refute_1_677,plain,
( meet(top,complement(X_390)) != complement(join(zero,complement(complement(X_390))))
| meet(top,complement(X_390)) = complement(X_390) ),
inference(resolve,[$cnf( $equal(join(zero,complement(complement(X_390))),X_390) )],[refute_1_675,refute_1_676]) ).
cnf(refute_1_678,plain,
meet(top,complement(X_390)) = complement(X_390),
inference(resolve,[$cnf( $equal(meet(top,complement(X_390)),complement(join(zero,complement(complement(X_390))))) )],[refute_1_672,refute_1_677]) ).
cnf(refute_1_679,plain,
meet(top,complement(X_391)) = complement(X_391),
inference(subst,[],[refute_1_678:[bind(X_390,$fot(X_391))]]) ).
cnf(refute_1_680,plain,
( complement(X_391) != join(zero,meet(top,complement(X_391)))
| meet(top,complement(X_391)) != complement(X_391)
| complement(X_391) = join(zero,complement(X_391)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(X_391),join(zero,meet(top,complement(X_391)))) ),[1,1],$fot(complement(X_391))]]) ).
cnf(refute_1_681,plain,
( complement(X_391) != join(zero,meet(top,complement(X_391)))
| complement(X_391) = join(zero,complement(X_391)) ),
inference(resolve,[$cnf( $equal(meet(top,complement(X_391)),complement(X_391)) )],[refute_1_679,refute_1_680]) ).
cnf(refute_1_682,plain,
complement(X_391) = join(zero,complement(X_391)),
inference(resolve,[$cnf( $equal(complement(X_391),join(zero,meet(top,complement(X_391)))) )],[refute_1_671,refute_1_681]) ).
cnf(refute_1_683,plain,
( complement(X_391) != join(zero,complement(X_391))
| join(zero,complement(X_391)) = complement(X_391) ),
inference(subst,[],[refute_1_5:[bind(X,$fot(complement(X_391))),bind(Y,$fot(join(zero,complement(X_391))))]]) ).
cnf(refute_1_684,plain,
join(zero,complement(X_391)) = complement(X_391),
inference(resolve,[$cnf( $equal(complement(X_391),join(zero,complement(X_391))) )],[refute_1_682,refute_1_683]) ).
cnf(refute_1_685,plain,
join(zero,complement(complement(X_387))) = complement(complement(X_387)),
inference(subst,[],[refute_1_684:[bind(X_391,$fot(complement(X_387)))]]) ).
cnf(refute_1_686,plain,
( X_387 != join(zero,complement(complement(X_387)))
| join(zero,complement(complement(X_387))) != complement(complement(X_387))
| X_387 = complement(complement(X_387)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_387,complement(complement(X_387))) ),[0],$fot(join(zero,complement(complement(X_387))))]]) ).
cnf(refute_1_687,plain,
( X_387 != join(zero,complement(complement(X_387)))
| X_387 = complement(complement(X_387)) ),
inference(resolve,[$cnf( $equal(join(zero,complement(complement(X_387))),complement(complement(X_387))) )],[refute_1_685,refute_1_686]) ).
cnf(refute_1_688,plain,
X_387 = complement(complement(X_387)),
inference(resolve,[$cnf( $equal(X_387,join(zero,complement(complement(X_387)))) )],[refute_1_199,refute_1_687]) ).
cnf(refute_1_689,plain,
( X_387 != complement(complement(X_387))
| complement(complement(X_387)) = X_387 ),
inference(subst,[],[refute_1_5:[bind(X,$fot(X_387)),bind(Y,$fot(complement(complement(X_387))))]]) ).
cnf(refute_1_690,plain,
complement(complement(X_387)) = X_387,
inference(resolve,[$cnf( $equal(X_387,complement(complement(X_387))) )],[refute_1_688,refute_1_689]) ).
cnf(refute_1_691,plain,
complement(complement(X1)) = X1,
inference(subst,[],[refute_1_690:[bind(X_387,$fot(X1))]]) ).
cnf(refute_1_692,plain,
( complement(complement(X1)) != X1
| meet(X1,X1) != complement(complement(X1))
| meet(X1,X1) = X1 ),
introduced(tautology,[equality,[$cnf( $equal(meet(X1,X1),complement(complement(X1))) ),[1],$fot(X1)]]) ).
cnf(refute_1_693,plain,
( meet(X1,X1) != complement(complement(X1))
| meet(X1,X1) = X1 ),
inference(resolve,[$cnf( $equal(complement(complement(X1)),X1) )],[refute_1_691,refute_1_692]) ).
cnf(refute_1_694,plain,
meet(X1,X1) = X1,
inference(resolve,[$cnf( $equal(meet(X1,X1),complement(complement(X1))) )],[refute_1_176,refute_1_693]) ).
cnf(refute_1_695,plain,
meet(X_387,X_387) = X_387,
inference(subst,[],[refute_1_694:[bind(X1,$fot(X_387))]]) ).
cnf(refute_1_696,plain,
meet(X_387,complement(complement(X_387))) = meet(X_387,complement(complement(X_387))),
introduced(tautology,[refl,[$fot(meet(X_387,complement(complement(X_387))))]]) ).
cnf(refute_1_697,plain,
( complement(complement(X_387)) != X_387
| meet(X_387,complement(complement(X_387))) != meet(X_387,complement(complement(X_387)))
| meet(X_387,complement(complement(X_387))) = meet(X_387,X_387) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_387,complement(complement(X_387))),meet(X_387,complement(complement(X_387)))) ),[1,1],$fot(X_387)]]) ).
cnf(refute_1_698,plain,
( complement(complement(X_387)) != X_387
| meet(X_387,complement(complement(X_387))) = meet(X_387,X_387) ),
inference(resolve,[$cnf( $equal(meet(X_387,complement(complement(X_387))),meet(X_387,complement(complement(X_387)))) )],[refute_1_696,refute_1_697]) ).
cnf(refute_1_699,plain,
meet(X_387,complement(complement(X_387))) = meet(X_387,X_387),
inference(resolve,[$cnf( $equal(complement(complement(X_387)),X_387) )],[refute_1_690,refute_1_698]) ).
cnf(refute_1_700,plain,
( meet(X_387,X_387) != X_387
| meet(X_387,complement(complement(X_387))) != meet(X_387,X_387)
| meet(X_387,complement(complement(X_387))) = X_387 ),
inference(subst,[],[refute_1_10:[bind(X,$fot(meet(X_387,complement(complement(X_387))))),bind(Y,$fot(meet(X_387,X_387))),bind(Z,$fot(X_387))]]) ).
cnf(refute_1_701,plain,
( meet(X_387,X_387) != X_387
| meet(X_387,complement(complement(X_387))) = X_387 ),
inference(resolve,[$cnf( $equal(meet(X_387,complement(complement(X_387))),meet(X_387,X_387)) )],[refute_1_699,refute_1_700]) ).
cnf(refute_1_702,plain,
meet(X_387,complement(complement(X_387))) = X_387,
inference(resolve,[$cnf( $equal(meet(X_387,X_387),X_387) )],[refute_1_695,refute_1_701]) ).
cnf(refute_1_703,plain,
join(zero,meet(X_387,complement(complement(X_387)))) = join(zero,meet(X_387,complement(complement(X_387)))),
introduced(tautology,[refl,[$fot(join(zero,meet(X_387,complement(complement(X_387)))))]]) ).
cnf(refute_1_704,plain,
( join(zero,meet(X_387,complement(complement(X_387)))) != join(zero,meet(X_387,complement(complement(X_387))))
| meet(X_387,complement(complement(X_387))) != X_387
| join(zero,meet(X_387,complement(complement(X_387)))) = join(zero,X_387) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(X_387,complement(complement(X_387)))),join(zero,meet(X_387,complement(complement(X_387))))) ),[1,1],$fot(X_387)]]) ).
cnf(refute_1_705,plain,
( meet(X_387,complement(complement(X_387))) != X_387
| join(zero,meet(X_387,complement(complement(X_387)))) = join(zero,X_387) ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_387,complement(complement(X_387)))),join(zero,meet(X_387,complement(complement(X_387))))) )],[refute_1_703,refute_1_704]) ).
cnf(refute_1_706,plain,
join(zero,meet(X_387,complement(complement(X_387)))) = join(zero,X_387),
inference(resolve,[$cnf( $equal(meet(X_387,complement(complement(X_387))),X_387) )],[refute_1_702,refute_1_705]) ).
cnf(refute_1_707,plain,
( X_387 != join(zero,meet(X_387,complement(complement(X_387))))
| join(zero,meet(X_387,complement(complement(X_387)))) != join(zero,X_387)
| X_387 = join(zero,X_387) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_387,join(zero,X_387)) ),[0],$fot(join(zero,meet(X_387,complement(complement(X_387)))))]]) ).
cnf(refute_1_708,plain,
( X_387 != join(zero,meet(X_387,complement(complement(X_387))))
| X_387 = join(zero,X_387) ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_387,complement(complement(X_387)))),join(zero,X_387)) )],[refute_1_706,refute_1_707]) ).
cnf(refute_1_709,plain,
X_387 = join(zero,X_387),
inference(resolve,[$cnf( $equal(X_387,join(zero,meet(X_387,complement(complement(X_387))))) )],[refute_1_116,refute_1_708]) ).
cnf(refute_1_710,plain,
( X_387 != join(zero,X_387)
| join(zero,X_387) = X_387 ),
inference(subst,[],[refute_1_5:[bind(X,$fot(X_387)),bind(Y,$fot(join(zero,X_387)))]]) ).
cnf(refute_1_711,plain,
join(zero,X_387) = X_387,
inference(resolve,[$cnf( $equal(X_387,join(zero,X_387)) )],[refute_1_709,refute_1_710]) ).
cnf(refute_1_712,plain,
join(zero,composition(converse(X0),complement(composition(X0,top)))) = composition(converse(X0),complement(composition(X0,top))),
inference(subst,[],[refute_1_711:[bind(X_387,$fot(composition(converse(X0),complement(composition(X0,top)))))]]) ).
cnf(refute_1_713,plain,
( join(zero,composition(converse(X0),complement(composition(X0,top)))) != composition(converse(X0),complement(composition(X0,top)))
| join(zero,composition(converse(X0),complement(composition(X0,top)))) != zero
| composition(converse(X0),complement(composition(X0,top))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,composition(converse(X0),complement(composition(X0,top)))),zero) ),[0],$fot(composition(converse(X0),complement(composition(X0,top))))]]) ).
cnf(refute_1_714,plain,
( join(zero,composition(converse(X0),complement(composition(X0,top)))) != zero
| composition(converse(X0),complement(composition(X0,top))) = zero ),
inference(resolve,[$cnf( $equal(join(zero,composition(converse(X0),complement(composition(X0,top)))),composition(converse(X0),complement(composition(X0,top)))) )],[refute_1_712,refute_1_713]) ).
cnf(refute_1_715,plain,
composition(converse(X0),complement(composition(X0,top))) = zero,
inference(resolve,[$cnf( $equal(join(zero,composition(converse(X0),complement(composition(X0,top)))),zero) )],[refute_1_80,refute_1_714]) ).
cnf(refute_1_716,plain,
composition(converse(X_416),complement(composition(X_416,top))) = zero,
inference(subst,[],[refute_1_715:[bind(X0,$fot(X_416))]]) ).
cnf(refute_1_717,plain,
( composition(converse(X_416),complement(composition(X_416,top))) != zero
| join(complement(converse(converse(X_416))),composition(complement(composition(X_416,top)),complement(converse(composition(converse(X_416),complement(composition(X_416,top))))))) != complement(converse(converse(X_416)))
| join(complement(converse(converse(X_416))),composition(complement(composition(X_416,top)),complement(converse(zero)))) = complement(converse(converse(X_416))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(converse(X_416))),composition(complement(composition(X_416,top)),complement(converse(composition(converse(X_416),complement(composition(X_416,top))))))),complement(converse(converse(X_416)))) ),[0,1,1,0,0],$fot(zero)]]) ).
cnf(refute_1_718,plain,
( join(complement(converse(converse(X_416))),composition(complement(composition(X_416,top)),complement(converse(composition(converse(X_416),complement(composition(X_416,top))))))) != complement(converse(converse(X_416)))
| join(complement(converse(converse(X_416))),composition(complement(composition(X_416,top)),complement(converse(zero)))) = complement(converse(converse(X_416))) ),
inference(resolve,[$cnf( $equal(composition(converse(X_416),complement(composition(X_416,top))),zero) )],[refute_1_716,refute_1_717]) ).
cnf(refute_1_719,plain,
join(complement(converse(converse(X_416))),composition(complement(composition(X_416,top)),complement(converse(zero)))) = complement(converse(converse(X_416))),
inference(resolve,[$cnf( $equal(join(complement(converse(converse(X_416))),composition(complement(composition(X_416,top)),complement(converse(composition(converse(X_416),complement(composition(X_416,top))))))),complement(converse(converse(X_416)))) )],[refute_1_43,refute_1_718]) ).
cnf(refute_1_720,plain,
top = join(zero,complement(zero)),
inference(subst,[],[refute_1_54:[bind(X0,$fot(zero))]]) ).
cnf(refute_1_721,plain,
complement(zero) = join(zero,complement(zero)),
inference(subst,[],[refute_1_709:[bind(X_387,$fot(complement(zero)))]]) ).
cnf(refute_1_722,plain,
( complement(zero) != join(zero,complement(zero))
| join(zero,complement(zero)) = complement(zero) ),
inference(subst,[],[refute_1_5:[bind(X,$fot(complement(zero))),bind(Y,$fot(join(zero,complement(zero))))]]) ).
cnf(refute_1_723,plain,
join(zero,complement(zero)) = complement(zero),
inference(resolve,[$cnf( $equal(complement(zero),join(zero,complement(zero))) )],[refute_1_721,refute_1_722]) ).
cnf(refute_1_724,plain,
( join(zero,complement(zero)) != complement(zero)
| top != join(zero,complement(zero))
| top = complement(zero) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(zero,complement(zero))) ),[1],$fot(complement(zero))]]) ).
cnf(refute_1_725,plain,
( top != join(zero,complement(zero))
| top = complement(zero) ),
inference(resolve,[$cnf( $equal(join(zero,complement(zero)),complement(zero)) )],[refute_1_723,refute_1_724]) ).
cnf(refute_1_726,plain,
top = complement(zero),
inference(resolve,[$cnf( $equal(top,join(zero,complement(zero))) )],[refute_1_720,refute_1_725]) ).
cnf(refute_1_727,plain,
( top != complement(zero)
| complement(zero) = top ),
inference(subst,[],[refute_1_5:[bind(X,$fot(top)),bind(Y,$fot(complement(zero)))]]) ).
cnf(refute_1_728,plain,
complement(zero) = top,
inference(resolve,[$cnf( $equal(top,complement(zero)) )],[refute_1_726,refute_1_727]) ).
cnf(refute_1_729,plain,
X1 = join(meet(X1,X1),complement(join(complement(X1),X1))),
inference(subst,[],[refute_1_98:[bind(X0,$fot(X1))]]) ).
cnf(refute_1_730,plain,
( X1 != join(meet(X1,X1),complement(join(complement(X1),X1)))
| meet(X1,X1) != X1
| X1 = join(X1,complement(join(complement(X1),X1))) ),
introduced(tautology,[equality,[$cnf( $equal(X1,join(meet(X1,X1),complement(join(complement(X1),X1)))) ),[1,0],$fot(X1)]]) ).
cnf(refute_1_731,plain,
( X1 != join(meet(X1,X1),complement(join(complement(X1),X1)))
| X1 = join(X1,complement(join(complement(X1),X1))) ),
inference(resolve,[$cnf( $equal(meet(X1,X1),X1) )],[refute_1_694,refute_1_730]) ).
cnf(refute_1_732,plain,
X1 = join(X1,complement(join(complement(X1),X1))),
inference(resolve,[$cnf( $equal(X1,join(meet(X1,X1),complement(join(complement(X1),X1)))) )],[refute_1_729,refute_1_731]) ).
cnf(refute_1_733,plain,
join(X1,complement(X1)) = top,
inference(subst,[],[refute_1_56:[bind(X0,$fot(X1))]]) ).
cnf(refute_1_734,plain,
join(complement(X1),X1) = join(X1,complement(X1)),
inference(subst,[],[refute_1_7:[bind(X0,$fot(X1)),bind(X1,$fot(complement(X1)))]]) ).
cnf(refute_1_735,plain,
( join(X1,complement(X1)) != top
| join(complement(X1),X1) != join(X1,complement(X1))
| join(complement(X1),X1) = top ),
inference(subst,[],[refute_1_10:[bind(X,$fot(join(complement(X1),X1))),bind(Y,$fot(join(X1,complement(X1)))),bind(Z,$fot(top))]]) ).
cnf(refute_1_736,plain,
( join(X1,complement(X1)) != top
| join(complement(X1),X1) = top ),
inference(resolve,[$cnf( $equal(join(complement(X1),X1),join(X1,complement(X1))) )],[refute_1_734,refute_1_735]) ).
cnf(refute_1_737,plain,
join(complement(X1),X1) = top,
inference(resolve,[$cnf( $equal(join(X1,complement(X1)),top) )],[refute_1_733,refute_1_736]) ).
cnf(refute_1_738,plain,
complement(join(complement(X1),X1)) = complement(join(complement(X1),X1)),
introduced(tautology,[refl,[$fot(complement(join(complement(X1),X1)))]]) ).
cnf(refute_1_739,plain,
( complement(join(complement(X1),X1)) != complement(join(complement(X1),X1))
| join(complement(X1),X1) != top
| complement(join(complement(X1),X1)) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(X1),X1)),complement(join(complement(X1),X1))) ),[1,0],$fot(top)]]) ).
cnf(refute_1_740,plain,
( join(complement(X1),X1) != top
| complement(join(complement(X1),X1)) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X1),X1)),complement(join(complement(X1),X1))) )],[refute_1_738,refute_1_739]) ).
cnf(refute_1_741,plain,
complement(join(complement(X1),X1)) = complement(top),
inference(resolve,[$cnf( $equal(join(complement(X1),X1),top) )],[refute_1_737,refute_1_740]) ).
cnf(refute_1_742,plain,
( complement(join(complement(X1),X1)) != complement(top)
| complement(top) != zero
| complement(join(complement(X1),X1)) = zero ),
inference(subst,[],[refute_1_10:[bind(X,$fot(complement(join(complement(X1),X1)))),bind(Y,$fot(complement(top))),bind(Z,$fot(zero))]]) ).
cnf(refute_1_743,plain,
( complement(top) != zero
| complement(join(complement(X1),X1)) = zero ),
inference(resolve,[$cnf( $equal(complement(join(complement(X1),X1)),complement(top)) )],[refute_1_741,refute_1_742]) ).
cnf(refute_1_744,plain,
complement(join(complement(X1),X1)) = zero,
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_1_74,refute_1_743]) ).
cnf(refute_1_745,plain,
join(X1,complement(join(complement(X1),X1))) = join(X1,complement(join(complement(X1),X1))),
introduced(tautology,[refl,[$fot(join(X1,complement(join(complement(X1),X1))))]]) ).
cnf(refute_1_746,plain,
( complement(join(complement(X1),X1)) != zero
| join(X1,complement(join(complement(X1),X1))) != join(X1,complement(join(complement(X1),X1)))
| join(X1,complement(join(complement(X1),X1))) = join(X1,zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(X1,complement(join(complement(X1),X1))),join(X1,complement(join(complement(X1),X1)))) ),[1,1],$fot(zero)]]) ).
cnf(refute_1_747,plain,
( complement(join(complement(X1),X1)) != zero
| join(X1,complement(join(complement(X1),X1))) = join(X1,zero) ),
inference(resolve,[$cnf( $equal(join(X1,complement(join(complement(X1),X1))),join(X1,complement(join(complement(X1),X1)))) )],[refute_1_745,refute_1_746]) ).
cnf(refute_1_748,plain,
join(X1,complement(join(complement(X1),X1))) = join(X1,zero),
inference(resolve,[$cnf( $equal(complement(join(complement(X1),X1)),zero) )],[refute_1_744,refute_1_747]) ).
cnf(refute_1_749,plain,
( X1 != join(X1,complement(join(complement(X1),X1)))
| join(X1,complement(join(complement(X1),X1))) != join(X1,zero)
| X1 = join(X1,zero) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X1,join(X1,zero)) ),[0],$fot(join(X1,complement(join(complement(X1),X1))))]]) ).
cnf(refute_1_750,plain,
( X1 != join(X1,complement(join(complement(X1),X1)))
| X1 = join(X1,zero) ),
inference(resolve,[$cnf( $equal(join(X1,complement(join(complement(X1),X1))),join(X1,zero)) )],[refute_1_748,refute_1_749]) ).
cnf(refute_1_751,plain,
X1 = join(X1,zero),
inference(resolve,[$cnf( $equal(X1,join(X1,complement(join(complement(X1),X1)))) )],[refute_1_732,refute_1_750]) ).
cnf(refute_1_752,plain,
converse(zero) = join(converse(zero),zero),
inference(subst,[],[refute_1_751:[bind(X1,$fot(converse(zero)))]]) ).
cnf(refute_1_753,plain,
converse(join(zero,converse(X0))) = join(converse(zero),X0),
inference(subst,[],[refute_1_364:[bind(X_329,$fot(zero))]]) ).
cnf(refute_1_754,plain,
converse(X0) = join(zero,converse(X0)),
inference(subst,[],[refute_1_709:[bind(X_387,$fot(converse(X0)))]]) ).
cnf(refute_1_755,plain,
( converse(X0) != join(zero,converse(X0))
| join(zero,converse(X0)) = converse(X0) ),
inference(subst,[],[refute_1_5:[bind(X,$fot(converse(X0))),bind(Y,$fot(join(zero,converse(X0))))]]) ).
cnf(refute_1_756,plain,
join(zero,converse(X0)) = converse(X0),
inference(resolve,[$cnf( $equal(converse(X0),join(zero,converse(X0))) )],[refute_1_754,refute_1_755]) ).
cnf(refute_1_757,plain,
( converse(join(zero,converse(X0))) != join(converse(zero),X0)
| join(zero,converse(X0)) != converse(X0)
| converse(converse(X0)) = join(converse(zero),X0) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(zero,converse(X0))),join(converse(zero),X0)) ),[0,0],$fot(converse(X0))]]) ).
cnf(refute_1_758,plain,
( converse(join(zero,converse(X0))) != join(converse(zero),X0)
| converse(converse(X0)) = join(converse(zero),X0) ),
inference(resolve,[$cnf( $equal(join(zero,converse(X0)),converse(X0)) )],[refute_1_756,refute_1_757]) ).
cnf(refute_1_759,plain,
converse(converse(X0)) = join(converse(zero),X0),
inference(resolve,[$cnf( $equal(converse(join(zero,converse(X0))),join(converse(zero),X0)) )],[refute_1_753,refute_1_758]) ).
cnf(refute_1_760,plain,
( converse(converse(X0)) != X0
| converse(converse(X0)) != join(converse(zero),X0)
| X0 = join(converse(zero),X0) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(X0)),join(converse(zero),X0)) ),[0],$fot(X0)]]) ).
cnf(refute_1_761,plain,
( converse(converse(X0)) != join(converse(zero),X0)
| X0 = join(converse(zero),X0) ),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_1_30,refute_1_760]) ).
cnf(refute_1_762,plain,
X0 = join(converse(zero),X0),
inference(resolve,[$cnf( $equal(converse(converse(X0)),join(converse(zero),X0)) )],[refute_1_759,refute_1_761]) ).
cnf(refute_1_763,plain,
zero = join(converse(zero),zero),
inference(subst,[],[refute_1_762:[bind(X0,$fot(zero))]]) ).
cnf(refute_1_764,plain,
( zero != join(converse(zero),zero)
| join(converse(zero),zero) = zero ),
inference(subst,[],[refute_1_5:[bind(X,$fot(zero)),bind(Y,$fot(join(converse(zero),zero)))]]) ).
cnf(refute_1_765,plain,
join(converse(zero),zero) = zero,
inference(resolve,[$cnf( $equal(zero,join(converse(zero),zero)) )],[refute_1_763,refute_1_764]) ).
cnf(refute_1_766,plain,
( converse(zero) != join(converse(zero),zero)
| join(converse(zero),zero) != zero
| converse(zero) = zero ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(zero),zero) ),[0],$fot(join(converse(zero),zero))]]) ).
cnf(refute_1_767,plain,
( converse(zero) != join(converse(zero),zero)
| converse(zero) = zero ),
inference(resolve,[$cnf( $equal(join(converse(zero),zero),zero) )],[refute_1_765,refute_1_766]) ).
cnf(refute_1_768,plain,
converse(zero) = zero,
inference(resolve,[$cnf( $equal(converse(zero),join(converse(zero),zero)) )],[refute_1_752,refute_1_767]) ).
cnf(refute_1_769,plain,
complement(converse(zero)) = complement(converse(zero)),
introduced(tautology,[refl,[$fot(complement(converse(zero)))]]) ).
cnf(refute_1_770,plain,
( complement(converse(zero)) != complement(converse(zero))
| converse(zero) != zero
| complement(converse(zero)) = complement(zero) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(zero)),complement(converse(zero))) ),[1,0],$fot(zero)]]) ).
cnf(refute_1_771,plain,
( converse(zero) != zero
| complement(converse(zero)) = complement(zero) ),
inference(resolve,[$cnf( $equal(complement(converse(zero)),complement(converse(zero))) )],[refute_1_769,refute_1_770]) ).
cnf(refute_1_772,plain,
complement(converse(zero)) = complement(zero),
inference(resolve,[$cnf( $equal(converse(zero),zero) )],[refute_1_768,refute_1_771]) ).
cnf(refute_1_773,plain,
( complement(converse(zero)) != complement(zero)
| complement(zero) != top
| complement(converse(zero)) = top ),
inference(subst,[],[refute_1_10:[bind(X,$fot(complement(converse(zero)))),bind(Y,$fot(complement(zero))),bind(Z,$fot(top))]]) ).
cnf(refute_1_774,plain,
( complement(zero) != top
| complement(converse(zero)) = top ),
inference(resolve,[$cnf( $equal(complement(converse(zero)),complement(zero)) )],[refute_1_772,refute_1_773]) ).
cnf(refute_1_775,plain,
complement(converse(zero)) = top,
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_1_728,refute_1_774]) ).
cnf(refute_1_776,plain,
composition(complement(composition(X_416,top)),complement(converse(zero))) = composition(complement(composition(X_416,top)),complement(converse(zero))),
introduced(tautology,[refl,[$fot(composition(complement(composition(X_416,top)),complement(converse(zero))))]]) ).
cnf(refute_1_777,plain,
( complement(converse(zero)) != top
| composition(complement(composition(X_416,top)),complement(converse(zero))) != composition(complement(composition(X_416,top)),complement(converse(zero)))
| composition(complement(composition(X_416,top)),complement(converse(zero))) = composition(complement(composition(X_416,top)),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(composition(X_416,top)),complement(converse(zero))),composition(complement(composition(X_416,top)),complement(converse(zero)))) ),[1,1],$fot(top)]]) ).
cnf(refute_1_778,plain,
( complement(converse(zero)) != top
| composition(complement(composition(X_416,top)),complement(converse(zero))) = composition(complement(composition(X_416,top)),top) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(X_416,top)),complement(converse(zero))),composition(complement(composition(X_416,top)),complement(converse(zero)))) )],[refute_1_776,refute_1_777]) ).
cnf(refute_1_779,plain,
composition(complement(composition(X_416,top)),complement(converse(zero))) = composition(complement(composition(X_416,top)),top),
inference(resolve,[$cnf( $equal(complement(converse(zero)),top) )],[refute_1_775,refute_1_778]) ).
cnf(refute_1_780,plain,
join(complement(X_416),composition(complement(composition(X_416,top)),complement(converse(zero)))) = join(complement(X_416),composition(complement(composition(X_416,top)),complement(converse(zero)))),
introduced(tautology,[refl,[$fot(join(complement(X_416),composition(complement(composition(X_416,top)),complement(converse(zero)))))]]) ).
cnf(refute_1_781,plain,
( composition(complement(composition(X_416,top)),complement(converse(zero))) != composition(complement(composition(X_416,top)),top)
| join(complement(X_416),composition(complement(composition(X_416,top)),complement(converse(zero)))) != join(complement(X_416),composition(complement(composition(X_416,top)),complement(converse(zero))))
| join(complement(X_416),composition(complement(composition(X_416,top)),complement(converse(zero)))) = join(complement(X_416),composition(complement(composition(X_416,top)),top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_416),composition(complement(composition(X_416,top)),complement(converse(zero)))),join(complement(X_416),composition(complement(composition(X_416,top)),complement(converse(zero))))) ),[1,1],$fot(composition(complement(composition(X_416,top)),top))]]) ).
cnf(refute_1_782,plain,
( composition(complement(composition(X_416,top)),complement(converse(zero))) != composition(complement(composition(X_416,top)),top)
| join(complement(X_416),composition(complement(composition(X_416,top)),complement(converse(zero)))) = join(complement(X_416),composition(complement(composition(X_416,top)),top)) ),
inference(resolve,[$cnf( $equal(join(complement(X_416),composition(complement(composition(X_416,top)),complement(converse(zero)))),join(complement(X_416),composition(complement(composition(X_416,top)),complement(converse(zero))))) )],[refute_1_780,refute_1_781]) ).
cnf(refute_1_783,plain,
join(complement(X_416),composition(complement(composition(X_416,top)),complement(converse(zero)))) = join(complement(X_416),composition(complement(composition(X_416,top)),top)),
inference(resolve,[$cnf( $equal(composition(complement(composition(X_416,top)),complement(converse(zero))),composition(complement(composition(X_416,top)),top)) )],[refute_1_779,refute_1_782]) ).
cnf(refute_1_784,plain,
converse(converse(X_416)) = X_416,
inference(subst,[],[refute_1_30:[bind(X0,$fot(X_416))]]) ).
cnf(refute_1_785,plain,
complement(converse(converse(X_416))) = complement(converse(converse(X_416))),
introduced(tautology,[refl,[$fot(complement(converse(converse(X_416))))]]) ).
cnf(refute_1_786,plain,
( complement(converse(converse(X_416))) != complement(converse(converse(X_416)))
| converse(converse(X_416)) != X_416
| complement(converse(converse(X_416))) = complement(X_416) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(converse(X_416))),complement(converse(converse(X_416)))) ),[1,0],$fot(X_416)]]) ).
cnf(refute_1_787,plain,
( converse(converse(X_416)) != X_416
| complement(converse(converse(X_416))) = complement(X_416) ),
inference(resolve,[$cnf( $equal(complement(converse(converse(X_416))),complement(converse(converse(X_416)))) )],[refute_1_785,refute_1_786]) ).
cnf(refute_1_788,plain,
complement(converse(converse(X_416))) = complement(X_416),
inference(resolve,[$cnf( $equal(converse(converse(X_416)),X_416) )],[refute_1_784,refute_1_787]) ).
cnf(refute_1_789,plain,
join(complement(converse(converse(X_416))),composition(complement(composition(X_416,top)),complement(converse(zero)))) = join(complement(converse(converse(X_416))),composition(complement(composition(X_416,top)),complement(converse(zero)))),
introduced(tautology,[refl,[$fot(join(complement(converse(converse(X_416))),composition(complement(composition(X_416,top)),complement(converse(zero)))))]]) ).
cnf(refute_1_790,plain,
( complement(converse(converse(X_416))) != complement(X_416)
| join(complement(converse(converse(X_416))),composition(complement(composition(X_416,top)),complement(converse(zero)))) != join(complement(converse(converse(X_416))),composition(complement(composition(X_416,top)),complement(converse(zero))))
| join(complement(converse(converse(X_416))),composition(complement(composition(X_416,top)),complement(converse(zero)))) = join(complement(X_416),composition(complement(composition(X_416,top)),complement(converse(zero)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(converse(X_416))),composition(complement(composition(X_416,top)),complement(converse(zero)))),join(complement(converse(converse(X_416))),composition(complement(composition(X_416,top)),complement(converse(zero))))) ),[1,0],$fot(complement(X_416))]]) ).
cnf(refute_1_791,plain,
( complement(converse(converse(X_416))) != complement(X_416)
| join(complement(converse(converse(X_416))),composition(complement(composition(X_416,top)),complement(converse(zero)))) = join(complement(X_416),composition(complement(composition(X_416,top)),complement(converse(zero)))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(converse(X_416))),composition(complement(composition(X_416,top)),complement(converse(zero)))),join(complement(converse(converse(X_416))),composition(complement(composition(X_416,top)),complement(converse(zero))))) )],[refute_1_789,refute_1_790]) ).
cnf(refute_1_792,plain,
join(complement(converse(converse(X_416))),composition(complement(composition(X_416,top)),complement(converse(zero)))) = join(complement(X_416),composition(complement(composition(X_416,top)),complement(converse(zero)))),
inference(resolve,[$cnf( $equal(complement(converse(converse(X_416))),complement(X_416)) )],[refute_1_788,refute_1_791]) ).
cnf(refute_1_793,plain,
( join(complement(X_416),composition(complement(composition(X_416,top)),complement(converse(zero)))) != join(complement(X_416),composition(complement(composition(X_416,top)),top))
| join(complement(converse(converse(X_416))),composition(complement(composition(X_416,top)),complement(converse(zero)))) != join(complement(X_416),composition(complement(composition(X_416,top)),complement(converse(zero))))
| join(complement(converse(converse(X_416))),composition(complement(composition(X_416,top)),complement(converse(zero)))) = join(complement(X_416),composition(complement(composition(X_416,top)),top)) ),
inference(subst,[],[refute_1_10:[bind(X,$fot(join(complement(converse(converse(X_416))),composition(complement(composition(X_416,top)),complement(converse(zero)))))),bind(Y,$fot(join(complement(X_416),composition(complement(composition(X_416,top)),complement(converse(zero)))))),bind(Z,$fot(join(complement(X_416),composition(complement(composition(X_416,top)),top))))]]) ).
cnf(refute_1_794,plain,
( join(complement(X_416),composition(complement(composition(X_416,top)),complement(converse(zero)))) != join(complement(X_416),composition(complement(composition(X_416,top)),top))
| join(complement(converse(converse(X_416))),composition(complement(composition(X_416,top)),complement(converse(zero)))) = join(complement(X_416),composition(complement(composition(X_416,top)),top)) ),
inference(resolve,[$cnf( $equal(join(complement(converse(converse(X_416))),composition(complement(composition(X_416,top)),complement(converse(zero)))),join(complement(X_416),composition(complement(composition(X_416,top)),complement(converse(zero))))) )],[refute_1_792,refute_1_793]) ).
cnf(refute_1_795,plain,
join(complement(converse(converse(X_416))),composition(complement(composition(X_416,top)),complement(converse(zero)))) = join(complement(X_416),composition(complement(composition(X_416,top)),top)),
inference(resolve,[$cnf( $equal(join(complement(X_416),composition(complement(composition(X_416,top)),complement(converse(zero)))),join(complement(X_416),composition(complement(composition(X_416,top)),top))) )],[refute_1_783,refute_1_794]) ).
cnf(refute_1_796,plain,
( join(complement(converse(converse(X_416))),composition(complement(composition(X_416,top)),complement(converse(zero)))) != complement(converse(converse(X_416)))
| join(complement(converse(converse(X_416))),composition(complement(composition(X_416,top)),complement(converse(zero)))) != join(complement(X_416),composition(complement(composition(X_416,top)),top))
| join(complement(X_416),composition(complement(composition(X_416,top)),top)) = complement(converse(converse(X_416))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(converse(X_416))),composition(complement(composition(X_416,top)),complement(converse(zero)))),complement(converse(converse(X_416)))) ),[0],$fot(join(complement(X_416),composition(complement(composition(X_416,top)),top)))]]) ).
cnf(refute_1_797,plain,
( join(complement(converse(converse(X_416))),composition(complement(composition(X_416,top)),complement(converse(zero)))) != complement(converse(converse(X_416)))
| join(complement(X_416),composition(complement(composition(X_416,top)),top)) = complement(converse(converse(X_416))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(converse(X_416))),composition(complement(composition(X_416,top)),complement(converse(zero)))),join(complement(X_416),composition(complement(composition(X_416,top)),top))) )],[refute_1_795,refute_1_796]) ).
cnf(refute_1_798,plain,
( complement(converse(converse(X_416))) != complement(X_416)
| join(complement(X_416),composition(complement(composition(X_416,top)),top)) != complement(converse(converse(X_416)))
| join(complement(X_416),composition(complement(composition(X_416,top)),top)) = complement(X_416) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_416),composition(complement(composition(X_416,top)),top)),complement(converse(converse(X_416)))) ),[1],$fot(complement(X_416))]]) ).
cnf(refute_1_799,plain,
( join(complement(X_416),composition(complement(composition(X_416,top)),top)) != complement(converse(converse(X_416)))
| join(complement(X_416),composition(complement(composition(X_416,top)),top)) = complement(X_416) ),
inference(resolve,[$cnf( $equal(complement(converse(converse(X_416))),complement(X_416)) )],[refute_1_788,refute_1_798]) ).
cnf(refute_1_800,plain,
( join(complement(converse(converse(X_416))),composition(complement(composition(X_416,top)),complement(converse(zero)))) != complement(converse(converse(X_416)))
| join(complement(X_416),composition(complement(composition(X_416,top)),top)) = complement(X_416) ),
inference(resolve,[$cnf( $equal(join(complement(X_416),composition(complement(composition(X_416,top)),top)),complement(converse(converse(X_416)))) )],[refute_1_797,refute_1_799]) ).
cnf(refute_1_801,plain,
join(complement(X_416),composition(complement(composition(X_416,top)),top)) = complement(X_416),
inference(resolve,[$cnf( $equal(join(complement(converse(converse(X_416))),composition(complement(composition(X_416,top)),complement(converse(zero)))),complement(converse(converse(X_416)))) )],[refute_1_719,refute_1_800]) ).
cnf(refute_1_802,plain,
join(complement(complement(X_387)),composition(complement(composition(complement(X_387),top)),top)) = complement(complement(X_387)),
inference(subst,[],[refute_1_801:[bind(X_416,$fot(complement(X_387)))]]) ).
cnf(refute_1_803,plain,
( complement(complement(X_387)) != X_387
| join(complement(complement(X_387)),composition(complement(composition(complement(X_387),top)),top)) != complement(complement(X_387))
| join(X_387,composition(complement(composition(complement(X_387),top)),top)) = complement(complement(X_387)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(X_387)),composition(complement(composition(complement(X_387),top)),top)),complement(complement(X_387))) ),[0,0],$fot(X_387)]]) ).
cnf(refute_1_804,plain,
( join(complement(complement(X_387)),composition(complement(composition(complement(X_387),top)),top)) != complement(complement(X_387))
| join(X_387,composition(complement(composition(complement(X_387),top)),top)) = complement(complement(X_387)) ),
inference(resolve,[$cnf( $equal(complement(complement(X_387)),X_387) )],[refute_1_690,refute_1_803]) ).
cnf(refute_1_805,plain,
join(X_387,composition(complement(composition(complement(X_387),top)),top)) = complement(complement(X_387)),
inference(resolve,[$cnf( $equal(join(complement(complement(X_387)),composition(complement(composition(complement(X_387),top)),top)),complement(complement(X_387))) )],[refute_1_802,refute_1_804]) ).
cnf(refute_1_806,plain,
( complement(complement(X_387)) != X_387
| join(X_387,composition(complement(composition(complement(X_387),top)),top)) != complement(complement(X_387))
| join(X_387,composition(complement(composition(complement(X_387),top)),top)) = X_387 ),
introduced(tautology,[equality,[$cnf( $equal(join(X_387,composition(complement(composition(complement(X_387),top)),top)),complement(complement(X_387))) ),[1],$fot(X_387)]]) ).
cnf(refute_1_807,plain,
( join(X_387,composition(complement(composition(complement(X_387),top)),top)) != complement(complement(X_387))
| join(X_387,composition(complement(composition(complement(X_387),top)),top)) = X_387 ),
inference(resolve,[$cnf( $equal(complement(complement(X_387)),X_387) )],[refute_1_690,refute_1_806]) ).
cnf(refute_1_808,plain,
join(X_387,composition(complement(composition(complement(X_387),top)),top)) = X_387,
inference(resolve,[$cnf( $equal(join(X_387,composition(complement(composition(complement(X_387),top)),top)),complement(complement(X_387))) )],[refute_1_805,refute_1_807]) ).
cnf(refute_1_809,plain,
join(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top)))),composition(complement(composition(complement(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top))))),top)),top)) = meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top)))),
inference(subst,[],[refute_1_808:[bind(X_387,$fot(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top))))))]]) ).
cnf(refute_1_810,plain,
X_387 = join(meet(X_387,X_388),complement(join(complement(X_387),X_388))),
inference(subst,[],[refute_1_98:[bind(X0,$fot(X_387)),bind(X1,$fot(X_388))]]) ).
cnf(refute_1_811,plain,
join(X_388,complement(X_387)) = join(complement(X_387),X_388),
inference(subst,[],[refute_1_2:[bind(X0,$fot(X_388)),bind(X1,$fot(complement(X_387)))]]) ).
cnf(refute_1_812,plain,
( join(X_388,complement(X_387)) != join(complement(X_387),X_388)
| join(complement(X_387),X_388) = join(X_388,complement(X_387)) ),
inference(subst,[],[refute_1_5:[bind(X,$fot(join(X_388,complement(X_387)))),bind(Y,$fot(join(complement(X_387),X_388)))]]) ).
cnf(refute_1_813,plain,
join(complement(X_387),X_388) = join(X_388,complement(X_387)),
inference(resolve,[$cnf( $equal(join(X_388,complement(X_387)),join(complement(X_387),X_388)) )],[refute_1_811,refute_1_812]) ).
cnf(refute_1_814,plain,
( X_387 != join(meet(X_387,X_388),complement(join(complement(X_387),X_388)))
| join(complement(X_387),X_388) != join(X_388,complement(X_387))
| X_387 = join(meet(X_387,X_388),complement(join(X_388,complement(X_387)))) ),
introduced(tautology,[equality,[$cnf( $equal(X_387,join(meet(X_387,X_388),complement(join(complement(X_387),X_388)))) ),[1,1,0],$fot(join(X_388,complement(X_387)))]]) ).
cnf(refute_1_815,plain,
( X_387 != join(meet(X_387,X_388),complement(join(complement(X_387),X_388)))
| X_387 = join(meet(X_387,X_388),complement(join(X_388,complement(X_387)))) ),
inference(resolve,[$cnf( $equal(join(complement(X_387),X_388),join(X_388,complement(X_387))) )],[refute_1_813,refute_1_814]) ).
cnf(refute_1_816,plain,
X_387 = join(meet(X_387,X_388),complement(join(X_388,complement(X_387)))),
inference(resolve,[$cnf( $equal(X_387,join(meet(X_387,X_388),complement(join(complement(X_387),X_388)))) )],[refute_1_810,refute_1_815]) ).
cnf(refute_1_817,plain,
composition(skolemFOFtoCNF_X0_1,top) = join(meet(composition(skolemFOFtoCNF_X0_1,top),complement(composition(complement(skolemFOFtoCNF_X0_1),top))),complement(join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),complement(composition(skolemFOFtoCNF_X0_1,top))))),
inference(subst,[],[refute_1_816:[bind(X_387,$fot(composition(skolemFOFtoCNF_X0_1,top))),bind(X_388,$fot(complement(composition(complement(skolemFOFtoCNF_X0_1),top))))]]) ).
cnf(refute_1_818,plain,
join(complement(X_349),complement(X_348)) = join(complement(X_348),complement(X_349)),
inference(subst,[],[refute_1_2:[bind(X0,$fot(complement(X_349))),bind(X1,$fot(complement(X_348)))]]) ).
cnf(refute_1_819,plain,
( join(complement(X_349),complement(X_348)) != join(complement(X_348),complement(X_349))
| join(complement(X_348),complement(X_349)) = join(complement(X_349),complement(X_348)) ),
inference(subst,[],[refute_1_5:[bind(X,$fot(join(complement(X_349),complement(X_348)))),bind(Y,$fot(join(complement(X_348),complement(X_349))))]]) ).
cnf(refute_1_820,plain,
join(complement(X_348),complement(X_349)) = join(complement(X_349),complement(X_348)),
inference(resolve,[$cnf( $equal(join(complement(X_349),complement(X_348)),join(complement(X_348),complement(X_349))) )],[refute_1_818,refute_1_819]) ).
cnf(refute_1_821,plain,
( join(complement(X_348),complement(X_349)) != join(complement(X_349),complement(X_348))
| meet(X_348,X_349) != complement(join(complement(X_348),complement(X_349)))
| meet(X_348,X_349) = complement(join(complement(X_349),complement(X_348))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_348,X_349),complement(join(complement(X_348),complement(X_349)))) ),[1,0],$fot(join(complement(X_349),complement(X_348)))]]) ).
cnf(refute_1_822,plain,
( meet(X_348,X_349) != complement(join(complement(X_348),complement(X_349)))
| meet(X_348,X_349) = complement(join(complement(X_349),complement(X_348))) ),
inference(resolve,[$cnf( $equal(join(complement(X_348),complement(X_349)),join(complement(X_349),complement(X_348))) )],[refute_1_820,refute_1_821]) ).
cnf(refute_1_823,plain,
meet(X_348,X_349) = complement(join(complement(X_349),complement(X_348))),
inference(resolve,[$cnf( $equal(meet(X_348,X_349),complement(join(complement(X_348),complement(X_349)))) )],[refute_1_48,refute_1_822]) ).
cnf(refute_1_824,plain,
complement(join(complement(X_349),complement(X_348))) = meet(X_349,X_348),
inference(subst,[],[refute_1_88:[bind(X0,$fot(X_349)),bind(X1,$fot(X_348))]]) ).
cnf(refute_1_825,plain,
( complement(join(complement(X_349),complement(X_348))) != meet(X_349,X_348)
| meet(X_348,X_349) != complement(join(complement(X_349),complement(X_348)))
| meet(X_348,X_349) = meet(X_349,X_348) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_348,X_349),complement(join(complement(X_349),complement(X_348)))) ),[1],$fot(meet(X_349,X_348))]]) ).
cnf(refute_1_826,plain,
( meet(X_348,X_349) != complement(join(complement(X_349),complement(X_348)))
| meet(X_348,X_349) = meet(X_349,X_348) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_349),complement(X_348))),meet(X_349,X_348)) )],[refute_1_824,refute_1_825]) ).
cnf(refute_1_827,plain,
meet(X_348,X_349) = meet(X_349,X_348),
inference(resolve,[$cnf( $equal(meet(X_348,X_349),complement(join(complement(X_349),complement(X_348)))) )],[refute_1_823,refute_1_826]) ).
cnf(refute_1_828,plain,
meet(X_388,X_387) = meet(X_387,X_388),
inference(subst,[],[refute_1_827:[bind(X_348,$fot(X_388)),bind(X_349,$fot(X_387))]]) ).
cnf(refute_1_829,plain,
( meet(X_388,X_387) != meet(X_387,X_388)
| meet(X_387,X_388) = meet(X_388,X_387) ),
inference(subst,[],[refute_1_5:[bind(X,$fot(meet(X_388,X_387))),bind(Y,$fot(meet(X_387,X_388)))]]) ).
cnf(refute_1_830,plain,
meet(X_387,X_388) = meet(X_388,X_387),
inference(resolve,[$cnf( $equal(meet(X_388,X_387),meet(X_387,X_388)) )],[refute_1_828,refute_1_829]) ).
cnf(refute_1_831,plain,
( X_387 != join(meet(X_387,X_388),complement(join(complement(X_387),X_388)))
| meet(X_387,X_388) != meet(X_388,X_387)
| X_387 = join(meet(X_388,X_387),complement(join(complement(X_387),X_388))) ),
introduced(tautology,[equality,[$cnf( $equal(X_387,join(meet(X_387,X_388),complement(join(complement(X_387),X_388)))) ),[1,0],$fot(meet(X_388,X_387))]]) ).
cnf(refute_1_832,plain,
( X_387 != join(meet(X_387,X_388),complement(join(complement(X_387),X_388)))
| X_387 = join(meet(X_388,X_387),complement(join(complement(X_387),X_388))) ),
inference(resolve,[$cnf( $equal(meet(X_387,X_388),meet(X_388,X_387)) )],[refute_1_830,refute_1_831]) ).
cnf(refute_1_833,plain,
X_387 = join(meet(X_388,X_387),complement(join(complement(X_387),X_388))),
inference(resolve,[$cnf( $equal(X_387,join(meet(X_387,X_388),complement(join(complement(X_387),X_388)))) )],[refute_1_810,refute_1_832]) ).
cnf(refute_1_834,plain,
X_387 = join(meet(join(X_428,complement(join(complement(X_387),X_428))),X_387),complement(join(complement(X_387),join(X_428,complement(join(complement(X_387),X_428)))))),
inference(subst,[],[refute_1_833:[bind(X_388,$fot(join(X_428,complement(join(complement(X_387),X_428)))))]]) ).
cnf(refute_1_835,plain,
top = join(join(X_358,X_359),complement(join(X_358,X_359))),
inference(subst,[],[refute_1_54:[bind(X0,$fot(join(X_358,X_359)))]]) ).
cnf(refute_1_836,plain,
join(X_358,join(X_359,complement(join(X_358,X_359)))) = join(join(X_358,X_359),complement(join(X_358,X_359))),
inference(subst,[],[refute_1_228:[bind(X0,$fot(X_358)),bind(X1,$fot(X_359)),bind(X2,$fot(complement(join(X_358,X_359))))]]) ).
cnf(refute_1_837,plain,
( join(X_358,join(X_359,complement(join(X_358,X_359)))) != join(join(X_358,X_359),complement(join(X_358,X_359)))
| join(join(X_358,X_359),complement(join(X_358,X_359))) = join(X_358,join(X_359,complement(join(X_358,X_359)))) ),
inference(subst,[],[refute_1_5:[bind(X,$fot(join(X_358,join(X_359,complement(join(X_358,X_359)))))),bind(Y,$fot(join(join(X_358,X_359),complement(join(X_358,X_359)))))]]) ).
cnf(refute_1_838,plain,
join(join(X_358,X_359),complement(join(X_358,X_359))) = join(X_358,join(X_359,complement(join(X_358,X_359)))),
inference(resolve,[$cnf( $equal(join(X_358,join(X_359,complement(join(X_358,X_359)))),join(join(X_358,X_359),complement(join(X_358,X_359)))) )],[refute_1_836,refute_1_837]) ).
cnf(refute_1_839,plain,
( join(join(X_358,X_359),complement(join(X_358,X_359))) != join(X_358,join(X_359,complement(join(X_358,X_359))))
| top != join(join(X_358,X_359),complement(join(X_358,X_359)))
| top = join(X_358,join(X_359,complement(join(X_358,X_359)))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(join(X_358,X_359),complement(join(X_358,X_359)))) ),[1],$fot(join(X_358,join(X_359,complement(join(X_358,X_359)))))]]) ).
cnf(refute_1_840,plain,
( top != join(join(X_358,X_359),complement(join(X_358,X_359)))
| top = join(X_358,join(X_359,complement(join(X_358,X_359)))) ),
inference(resolve,[$cnf( $equal(join(join(X_358,X_359),complement(join(X_358,X_359))),join(X_358,join(X_359,complement(join(X_358,X_359))))) )],[refute_1_838,refute_1_839]) ).
cnf(refute_1_841,plain,
top = join(X_358,join(X_359,complement(join(X_358,X_359)))),
inference(resolve,[$cnf( $equal(top,join(join(X_358,X_359),complement(join(X_358,X_359)))) )],[refute_1_835,refute_1_840]) ).
cnf(refute_1_842,plain,
top = join(complement(X_387),join(X_428,complement(join(complement(X_387),X_428)))),
inference(subst,[],[refute_1_841:[bind(X_358,$fot(complement(X_387))),bind(X_359,$fot(X_428))]]) ).
cnf(refute_1_843,plain,
( top != join(complement(X_387),join(X_428,complement(join(complement(X_387),X_428))))
| join(complement(X_387),join(X_428,complement(join(complement(X_387),X_428)))) = top ),
inference(subst,[],[refute_1_5:[bind(X,$fot(top)),bind(Y,$fot(join(complement(X_387),join(X_428,complement(join(complement(X_387),X_428))))))]]) ).
cnf(refute_1_844,plain,
join(complement(X_387),join(X_428,complement(join(complement(X_387),X_428)))) = top,
inference(resolve,[$cnf( $equal(top,join(complement(X_387),join(X_428,complement(join(complement(X_387),X_428))))) )],[refute_1_842,refute_1_843]) ).
cnf(refute_1_845,plain,
( X_387 != join(meet(join(X_428,complement(join(complement(X_387),X_428))),X_387),complement(join(complement(X_387),join(X_428,complement(join(complement(X_387),X_428))))))
| join(complement(X_387),join(X_428,complement(join(complement(X_387),X_428)))) != top
| X_387 = join(meet(join(X_428,complement(join(complement(X_387),X_428))),X_387),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(X_387,join(meet(join(X_428,complement(join(complement(X_387),X_428))),X_387),complement(join(complement(X_387),join(X_428,complement(join(complement(X_387),X_428))))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_1_846,plain,
( X_387 != join(meet(join(X_428,complement(join(complement(X_387),X_428))),X_387),complement(join(complement(X_387),join(X_428,complement(join(complement(X_387),X_428))))))
| X_387 = join(meet(join(X_428,complement(join(complement(X_387),X_428))),X_387),complement(top)) ),
inference(resolve,[$cnf( $equal(join(complement(X_387),join(X_428,complement(join(complement(X_387),X_428)))),top) )],[refute_1_844,refute_1_845]) ).
cnf(refute_1_847,plain,
X_387 = join(meet(join(X_428,complement(join(complement(X_387),X_428))),X_387),complement(top)),
inference(resolve,[$cnf( $equal(X_387,join(meet(join(X_428,complement(join(complement(X_387),X_428))),X_387),complement(join(complement(X_387),join(X_428,complement(join(complement(X_387),X_428))))))) )],[refute_1_834,refute_1_846]) ).
cnf(refute_1_848,plain,
join(zero,meet(X_387,join(X_428,complement(join(complement(X_387),X_428))))) = meet(X_387,join(X_428,complement(join(complement(X_387),X_428)))),
inference(subst,[],[refute_1_711:[bind(X_387,$fot(meet(X_387,join(X_428,complement(join(complement(X_387),X_428))))))]]) ).
cnf(refute_1_849,plain,
( meet(X_348,X_349) != meet(X_349,X_348)
| meet(X_349,X_348) = meet(X_348,X_349) ),
inference(subst,[],[refute_1_5:[bind(X,$fot(meet(X_348,X_349))),bind(Y,$fot(meet(X_349,X_348)))]]) ).
cnf(refute_1_850,plain,
meet(X_349,X_348) = meet(X_348,X_349),
inference(resolve,[$cnf( $equal(meet(X_348,X_349),meet(X_349,X_348)) )],[refute_1_827,refute_1_849]) ).
cnf(refute_1_851,plain,
meet(join(X_428,complement(join(complement(X_387),X_428))),X_387) = meet(X_387,join(X_428,complement(join(complement(X_387),X_428)))),
inference(subst,[],[refute_1_850:[bind(X_348,$fot(X_387)),bind(X_349,$fot(join(X_428,complement(join(complement(X_387),X_428)))))]]) ).
cnf(refute_1_852,plain,
join(zero,meet(join(X_428,complement(join(complement(X_387),X_428))),X_387)) = join(zero,meet(join(X_428,complement(join(complement(X_387),X_428))),X_387)),
introduced(tautology,[refl,[$fot(join(zero,meet(join(X_428,complement(join(complement(X_387),X_428))),X_387)))]]) ).
cnf(refute_1_853,plain,
( join(zero,meet(join(X_428,complement(join(complement(X_387),X_428))),X_387)) != join(zero,meet(join(X_428,complement(join(complement(X_387),X_428))),X_387))
| meet(join(X_428,complement(join(complement(X_387),X_428))),X_387) != meet(X_387,join(X_428,complement(join(complement(X_387),X_428))))
| join(zero,meet(join(X_428,complement(join(complement(X_387),X_428))),X_387)) = join(zero,meet(X_387,join(X_428,complement(join(complement(X_387),X_428))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(join(X_428,complement(join(complement(X_387),X_428))),X_387)),join(zero,meet(join(X_428,complement(join(complement(X_387),X_428))),X_387))) ),[1,1],$fot(meet(X_387,join(X_428,complement(join(complement(X_387),X_428)))))]]) ).
cnf(refute_1_854,plain,
( meet(join(X_428,complement(join(complement(X_387),X_428))),X_387) != meet(X_387,join(X_428,complement(join(complement(X_387),X_428))))
| join(zero,meet(join(X_428,complement(join(complement(X_387),X_428))),X_387)) = join(zero,meet(X_387,join(X_428,complement(join(complement(X_387),X_428))))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(join(X_428,complement(join(complement(X_387),X_428))),X_387)),join(zero,meet(join(X_428,complement(join(complement(X_387),X_428))),X_387))) )],[refute_1_852,refute_1_853]) ).
cnf(refute_1_855,plain,
join(zero,meet(join(X_428,complement(join(complement(X_387),X_428))),X_387)) = join(zero,meet(X_387,join(X_428,complement(join(complement(X_387),X_428))))),
inference(resolve,[$cnf( $equal(meet(join(X_428,complement(join(complement(X_387),X_428))),X_387),meet(X_387,join(X_428,complement(join(complement(X_387),X_428))))) )],[refute_1_851,refute_1_854]) ).
cnf(refute_1_856,plain,
join(complement(top),meet(join(X_428,complement(join(complement(X_387),X_428))),X_387)) = join(complement(top),meet(join(X_428,complement(join(complement(X_387),X_428))),X_387)),
introduced(tautology,[refl,[$fot(join(complement(top),meet(join(X_428,complement(join(complement(X_387),X_428))),X_387)))]]) ).
cnf(refute_1_857,plain,
( complement(top) != zero
| join(complement(top),meet(join(X_428,complement(join(complement(X_387),X_428))),X_387)) != join(complement(top),meet(join(X_428,complement(join(complement(X_387),X_428))),X_387))
| join(complement(top),meet(join(X_428,complement(join(complement(X_387),X_428))),X_387)) = join(zero,meet(join(X_428,complement(join(complement(X_387),X_428))),X_387)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(join(X_428,complement(join(complement(X_387),X_428))),X_387)),join(complement(top),meet(join(X_428,complement(join(complement(X_387),X_428))),X_387))) ),[1,0],$fot(zero)]]) ).
cnf(refute_1_858,plain,
( complement(top) != zero
| join(complement(top),meet(join(X_428,complement(join(complement(X_387),X_428))),X_387)) = join(zero,meet(join(X_428,complement(join(complement(X_387),X_428))),X_387)) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(join(X_428,complement(join(complement(X_387),X_428))),X_387)),join(complement(top),meet(join(X_428,complement(join(complement(X_387),X_428))),X_387))) )],[refute_1_856,refute_1_857]) ).
cnf(refute_1_859,plain,
join(complement(top),meet(join(X_428,complement(join(complement(X_387),X_428))),X_387)) = join(zero,meet(join(X_428,complement(join(complement(X_387),X_428))),X_387)),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_1_74,refute_1_858]) ).
cnf(refute_1_860,plain,
( join(complement(top),meet(join(X_428,complement(join(complement(X_387),X_428))),X_387)) != join(zero,meet(join(X_428,complement(join(complement(X_387),X_428))),X_387))
| join(zero,meet(join(X_428,complement(join(complement(X_387),X_428))),X_387)) != join(zero,meet(X_387,join(X_428,complement(join(complement(X_387),X_428)))))
| join(complement(top),meet(join(X_428,complement(join(complement(X_387),X_428))),X_387)) = join(zero,meet(X_387,join(X_428,complement(join(complement(X_387),X_428))))) ),
inference(subst,[],[refute_1_10:[bind(X,$fot(join(complement(top),meet(join(X_428,complement(join(complement(X_387),X_428))),X_387)))),bind(Y,$fot(join(zero,meet(join(X_428,complement(join(complement(X_387),X_428))),X_387)))),bind(Z,$fot(join(zero,meet(X_387,join(X_428,complement(join(complement(X_387),X_428)))))))]]) ).
cnf(refute_1_861,plain,
( join(zero,meet(join(X_428,complement(join(complement(X_387),X_428))),X_387)) != join(zero,meet(X_387,join(X_428,complement(join(complement(X_387),X_428)))))
| join(complement(top),meet(join(X_428,complement(join(complement(X_387),X_428))),X_387)) = join(zero,meet(X_387,join(X_428,complement(join(complement(X_387),X_428))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(join(X_428,complement(join(complement(X_387),X_428))),X_387)),join(zero,meet(join(X_428,complement(join(complement(X_387),X_428))),X_387))) )],[refute_1_859,refute_1_860]) ).
cnf(refute_1_862,plain,
join(complement(top),meet(join(X_428,complement(join(complement(X_387),X_428))),X_387)) = join(zero,meet(X_387,join(X_428,complement(join(complement(X_387),X_428))))),
inference(resolve,[$cnf( $equal(join(zero,meet(join(X_428,complement(join(complement(X_387),X_428))),X_387)),join(zero,meet(X_387,join(X_428,complement(join(complement(X_387),X_428)))))) )],[refute_1_855,refute_1_861]) ).
cnf(refute_1_863,plain,
( join(complement(top),meet(join(X_428,complement(join(complement(X_387),X_428))),X_387)) != join(zero,meet(X_387,join(X_428,complement(join(complement(X_387),X_428)))))
| join(zero,meet(X_387,join(X_428,complement(join(complement(X_387),X_428))))) != meet(X_387,join(X_428,complement(join(complement(X_387),X_428))))
| join(complement(top),meet(join(X_428,complement(join(complement(X_387),X_428))),X_387)) = meet(X_387,join(X_428,complement(join(complement(X_387),X_428)))) ),
inference(subst,[],[refute_1_10:[bind(X,$fot(join(complement(top),meet(join(X_428,complement(join(complement(X_387),X_428))),X_387)))),bind(Y,$fot(join(zero,meet(X_387,join(X_428,complement(join(complement(X_387),X_428))))))),bind(Z,$fot(meet(X_387,join(X_428,complement(join(complement(X_387),X_428))))))]]) ).
cnf(refute_1_864,plain,
( join(zero,meet(X_387,join(X_428,complement(join(complement(X_387),X_428))))) != meet(X_387,join(X_428,complement(join(complement(X_387),X_428))))
| join(complement(top),meet(join(X_428,complement(join(complement(X_387),X_428))),X_387)) = meet(X_387,join(X_428,complement(join(complement(X_387),X_428)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(join(X_428,complement(join(complement(X_387),X_428))),X_387)),join(zero,meet(X_387,join(X_428,complement(join(complement(X_387),X_428)))))) )],[refute_1_862,refute_1_863]) ).
cnf(refute_1_865,plain,
join(complement(top),meet(join(X_428,complement(join(complement(X_387),X_428))),X_387)) = meet(X_387,join(X_428,complement(join(complement(X_387),X_428)))),
inference(resolve,[$cnf( $equal(join(zero,meet(X_387,join(X_428,complement(join(complement(X_387),X_428))))),meet(X_387,join(X_428,complement(join(complement(X_387),X_428))))) )],[refute_1_848,refute_1_864]) ).
cnf(refute_1_866,plain,
join(meet(join(X_428,complement(join(complement(X_387),X_428))),X_387),complement(top)) = join(complement(top),meet(join(X_428,complement(join(complement(X_387),X_428))),X_387)),
inference(subst,[],[refute_1_7:[bind(X0,$fot(complement(top))),bind(X1,$fot(meet(join(X_428,complement(join(complement(X_387),X_428))),X_387)))]]) ).
cnf(refute_1_867,plain,
( join(complement(top),meet(join(X_428,complement(join(complement(X_387),X_428))),X_387)) != meet(X_387,join(X_428,complement(join(complement(X_387),X_428))))
| join(meet(join(X_428,complement(join(complement(X_387),X_428))),X_387),complement(top)) != join(complement(top),meet(join(X_428,complement(join(complement(X_387),X_428))),X_387))
| join(meet(join(X_428,complement(join(complement(X_387),X_428))),X_387),complement(top)) = meet(X_387,join(X_428,complement(join(complement(X_387),X_428)))) ),
inference(subst,[],[refute_1_10:[bind(X,$fot(join(meet(join(X_428,complement(join(complement(X_387),X_428))),X_387),complement(top)))),bind(Y,$fot(join(complement(top),meet(join(X_428,complement(join(complement(X_387),X_428))),X_387)))),bind(Z,$fot(meet(X_387,join(X_428,complement(join(complement(X_387),X_428))))))]]) ).
cnf(refute_1_868,plain,
( join(complement(top),meet(join(X_428,complement(join(complement(X_387),X_428))),X_387)) != meet(X_387,join(X_428,complement(join(complement(X_387),X_428))))
| join(meet(join(X_428,complement(join(complement(X_387),X_428))),X_387),complement(top)) = meet(X_387,join(X_428,complement(join(complement(X_387),X_428)))) ),
inference(resolve,[$cnf( $equal(join(meet(join(X_428,complement(join(complement(X_387),X_428))),X_387),complement(top)),join(complement(top),meet(join(X_428,complement(join(complement(X_387),X_428))),X_387))) )],[refute_1_866,refute_1_867]) ).
cnf(refute_1_869,plain,
join(meet(join(X_428,complement(join(complement(X_387),X_428))),X_387),complement(top)) = meet(X_387,join(X_428,complement(join(complement(X_387),X_428)))),
inference(resolve,[$cnf( $equal(join(complement(top),meet(join(X_428,complement(join(complement(X_387),X_428))),X_387)),meet(X_387,join(X_428,complement(join(complement(X_387),X_428))))) )],[refute_1_865,refute_1_868]) ).
cnf(refute_1_870,plain,
( X_387 != join(meet(join(X_428,complement(join(complement(X_387),X_428))),X_387),complement(top))
| join(meet(join(X_428,complement(join(complement(X_387),X_428))),X_387),complement(top)) != meet(X_387,join(X_428,complement(join(complement(X_387),X_428))))
| X_387 = meet(X_387,join(X_428,complement(join(complement(X_387),X_428)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_387,meet(X_387,join(X_428,complement(join(complement(X_387),X_428))))) ),[0],$fot(join(meet(join(X_428,complement(join(complement(X_387),X_428))),X_387),complement(top)))]]) ).
cnf(refute_1_871,plain,
( X_387 != join(meet(join(X_428,complement(join(complement(X_387),X_428))),X_387),complement(top))
| X_387 = meet(X_387,join(X_428,complement(join(complement(X_387),X_428)))) ),
inference(resolve,[$cnf( $equal(join(meet(join(X_428,complement(join(complement(X_387),X_428))),X_387),complement(top)),meet(X_387,join(X_428,complement(join(complement(X_387),X_428))))) )],[refute_1_869,refute_1_870]) ).
cnf(refute_1_872,plain,
X_387 = meet(X_387,join(X_428,complement(join(complement(X_387),X_428)))),
inference(resolve,[$cnf( $equal(X_387,join(meet(join(X_428,complement(join(complement(X_387),X_428))),X_387),complement(top))) )],[refute_1_847,refute_1_871]) ).
cnf(refute_1_873,plain,
converse(X_555) = meet(converse(X_555),join(converse(join(X_554,X_555)),complement(join(complement(converse(X_555)),converse(join(X_554,X_555)))))),
inference(subst,[],[refute_1_872:[bind(X_387,$fot(converse(X_555))),bind(X_428,$fot(converse(join(X_554,X_555))))]]) ).
cnf(refute_1_874,plain,
converse(join(X0,join(X_333,X_334))) = join(converse(X0),converse(join(X_333,X_334))),
inference(subst,[],[refute_1_273:[bind(X1,$fot(join(X_333,X_334)))]]) ).
cnf(refute_1_875,plain,
converse(join(X_333,X_334)) = converse(join(X_334,X_333)),
inference(subst,[],[refute_1_390:[bind(X0,$fot(X_333)),bind(X1,$fot(X_334))]]) ).
cnf(refute_1_876,plain,
( converse(join(X0,join(X_333,X_334))) != join(converse(X0),converse(join(X_333,X_334)))
| converse(join(X_333,X_334)) != converse(join(X_334,X_333))
| converse(join(X0,join(X_333,X_334))) = join(converse(X0),converse(join(X_334,X_333))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X0,join(X_333,X_334))),join(converse(X0),converse(join(X_333,X_334)))) ),[1,1],$fot(converse(join(X_334,X_333)))]]) ).
cnf(refute_1_877,plain,
( converse(join(X0,join(X_333,X_334))) != join(converse(X0),converse(join(X_333,X_334)))
| converse(join(X0,join(X_333,X_334))) = join(converse(X0),converse(join(X_334,X_333))) ),
inference(resolve,[$cnf( $equal(converse(join(X_333,X_334)),converse(join(X_334,X_333))) )],[refute_1_875,refute_1_876]) ).
cnf(refute_1_878,plain,
converse(join(X0,join(X_333,X_334))) = join(converse(X0),converse(join(X_334,X_333))),
inference(resolve,[$cnf( $equal(converse(join(X0,join(X_333,X_334))),join(converse(X0),converse(join(X_333,X_334)))) )],[refute_1_874,refute_1_877]) ).
cnf(refute_1_879,plain,
join(converse(X0),converse(join(X_334,X_333))) = converse(join(X0,join(X_334,X_333))),
inference(subst,[],[refute_1_369:[bind(X1,$fot(join(X_334,X_333)))]]) ).
cnf(refute_1_880,plain,
( converse(join(X0,join(X_333,X_334))) != join(converse(X0),converse(join(X_334,X_333)))
| join(converse(X0),converse(join(X_334,X_333))) != converse(join(X0,join(X_334,X_333)))
| converse(join(X0,join(X_333,X_334))) = converse(join(X0,join(X_334,X_333))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(join(X0,join(X_333,X_334))),converse(join(X0,join(X_334,X_333)))) ),[0],$fot(join(converse(X0),converse(join(X_334,X_333))))]]) ).
cnf(refute_1_881,plain,
( converse(join(X0,join(X_333,X_334))) != join(converse(X0),converse(join(X_334,X_333)))
| converse(join(X0,join(X_333,X_334))) = converse(join(X0,join(X_334,X_333))) ),
inference(resolve,[$cnf( $equal(join(converse(X0),converse(join(X_334,X_333))),converse(join(X0,join(X_334,X_333)))) )],[refute_1_879,refute_1_880]) ).
cnf(refute_1_882,plain,
converse(join(X0,join(X_333,X_334))) = converse(join(X0,join(X_334,X_333))),
inference(resolve,[$cnf( $equal(converse(join(X0,join(X_333,X_334))),join(converse(X0),converse(join(X_334,X_333)))) )],[refute_1_878,refute_1_881]) ).
cnf(refute_1_883,plain,
converse(join(X_447,join(X_448,converse(complement(converse(X_448)))))) = converse(join(X_447,join(converse(complement(converse(X_448))),X_448))),
inference(subst,[],[refute_1_882:[bind(X0,$fot(X_447)),bind(X_333,$fot(X_448)),bind(X_334,$fot(converse(complement(converse(X_448)))))]]) ).
cnf(refute_1_884,plain,
( converse(top) != join(X_342,converse(complement(converse(X_342))))
| converse(top) != top
| top = join(X_342,converse(complement(converse(X_342)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(top),join(X_342,converse(complement(converse(X_342))))) ),[0],$fot(top)]]) ).
cnf(refute_1_885,plain,
( converse(top) != join(X_342,converse(complement(converse(X_342))))
| top = join(X_342,converse(complement(converse(X_342)))) ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_1_618,refute_1_884]) ).
cnf(refute_1_886,plain,
top = join(X_342,converse(complement(converse(X_342)))),
inference(resolve,[$cnf( $equal(converse(top),join(X_342,converse(complement(converse(X_342))))) )],[refute_1_284,refute_1_885]) ).
cnf(refute_1_887,plain,
top = join(X_448,converse(complement(converse(X_448)))),
inference(subst,[],[refute_1_886:[bind(X_342,$fot(X_448))]]) ).
cnf(refute_1_888,plain,
( top != join(X_448,converse(complement(converse(X_448))))
| join(X_448,converse(complement(converse(X_448)))) = top ),
inference(subst,[],[refute_1_5:[bind(X,$fot(top)),bind(Y,$fot(join(X_448,converse(complement(converse(X_448))))))]]) ).
cnf(refute_1_889,plain,
join(X_448,converse(complement(converse(X_448)))) = top,
inference(resolve,[$cnf( $equal(top,join(X_448,converse(complement(converse(X_448))))) )],[refute_1_887,refute_1_888]) ).
cnf(refute_1_890,plain,
( converse(join(X_447,join(X_448,converse(complement(converse(X_448)))))) != converse(join(X_447,join(converse(complement(converse(X_448))),X_448)))
| join(X_448,converse(complement(converse(X_448)))) != top
| converse(join(X_447,top)) = converse(join(X_447,join(converse(complement(converse(X_448))),X_448))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X_447,join(X_448,converse(complement(converse(X_448)))))),converse(join(X_447,join(converse(complement(converse(X_448))),X_448)))) ),[0,0,1],$fot(top)]]) ).
cnf(refute_1_891,plain,
( converse(join(X_447,join(X_448,converse(complement(converse(X_448)))))) != converse(join(X_447,join(converse(complement(converse(X_448))),X_448)))
| converse(join(X_447,top)) = converse(join(X_447,join(converse(complement(converse(X_448))),X_448))) ),
inference(resolve,[$cnf( $equal(join(X_448,converse(complement(converse(X_448)))),top) )],[refute_1_889,refute_1_890]) ).
cnf(refute_1_892,plain,
converse(join(X_447,top)) = converse(join(X_447,join(converse(complement(converse(X_448))),X_448))),
inference(resolve,[$cnf( $equal(converse(join(X_447,join(X_448,converse(complement(converse(X_448)))))),converse(join(X_447,join(converse(complement(converse(X_448))),X_448)))) )],[refute_1_883,refute_1_891]) ).
cnf(refute_1_893,plain,
join(X_447,top) = top,
inference(subst,[],[refute_1_652:[bind(X_372,$fot(X_447))]]) ).
cnf(refute_1_894,plain,
converse(join(X_447,top)) = converse(join(X_447,top)),
introduced(tautology,[refl,[$fot(converse(join(X_447,top)))]]) ).
cnf(refute_1_895,plain,
( converse(join(X_447,top)) != converse(join(X_447,top))
| join(X_447,top) != top
| converse(join(X_447,top)) = converse(top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X_447,top)),converse(join(X_447,top))) ),[1,0],$fot(top)]]) ).
cnf(refute_1_896,plain,
( join(X_447,top) != top
| converse(join(X_447,top)) = converse(top) ),
inference(resolve,[$cnf( $equal(converse(join(X_447,top)),converse(join(X_447,top))) )],[refute_1_894,refute_1_895]) ).
cnf(refute_1_897,plain,
converse(join(X_447,top)) = converse(top),
inference(resolve,[$cnf( $equal(join(X_447,top),top) )],[refute_1_893,refute_1_896]) ).
cnf(refute_1_898,plain,
( converse(join(X_447,top)) != converse(top)
| converse(top) != top
| converse(join(X_447,top)) = top ),
inference(subst,[],[refute_1_10:[bind(X,$fot(converse(join(X_447,top)))),bind(Y,$fot(converse(top))),bind(Z,$fot(top))]]) ).
cnf(refute_1_899,plain,
( converse(top) != top
| converse(join(X_447,top)) = top ),
inference(resolve,[$cnf( $equal(converse(join(X_447,top)),converse(top)) )],[refute_1_897,refute_1_898]) ).
cnf(refute_1_900,plain,
converse(join(X_447,top)) = top,
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_1_618,refute_1_899]) ).
cnf(refute_1_901,plain,
( converse(join(X_447,top)) != converse(join(X_447,join(converse(complement(converse(X_448))),X_448)))
| converse(join(X_447,top)) != top
| top = converse(join(X_447,join(converse(complement(converse(X_448))),X_448))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X_447,top)),converse(join(X_447,join(converse(complement(converse(X_448))),X_448)))) ),[0],$fot(top)]]) ).
cnf(refute_1_902,plain,
( converse(join(X_447,top)) != converse(join(X_447,join(converse(complement(converse(X_448))),X_448)))
| top = converse(join(X_447,join(converse(complement(converse(X_448))),X_448))) ),
inference(resolve,[$cnf( $equal(converse(join(X_447,top)),top) )],[refute_1_900,refute_1_901]) ).
cnf(refute_1_903,plain,
join(converse(join(X_447,X_448)),complement(converse(X_448))) = join(complement(converse(X_448)),converse(join(X_447,X_448))),
inference(subst,[],[refute_1_7:[bind(X0,$fot(complement(converse(X_448)))),bind(X1,$fot(converse(join(X_447,X_448))))]]) ).
cnf(refute_1_904,plain,
converse(join(X_447,join(X_448,converse(complement(converse(X_448)))))) = join(converse(join(X_447,X_448)),complement(converse(X_448))),
inference(subst,[],[refute_1_419:[bind(X0,$fot(complement(converse(X_448)))),bind(X_358,$fot(X_447)),bind(X_359,$fot(X_448))]]) ).
cnf(refute_1_905,plain,
( converse(join(X_447,join(X_448,converse(complement(converse(X_448)))))) != join(converse(join(X_447,X_448)),complement(converse(X_448)))
| join(converse(join(X_447,X_448)),complement(converse(X_448))) != join(complement(converse(X_448)),converse(join(X_447,X_448)))
| converse(join(X_447,join(X_448,converse(complement(converse(X_448)))))) = join(complement(converse(X_448)),converse(join(X_447,X_448))) ),
inference(subst,[],[refute_1_10:[bind(X,$fot(converse(join(X_447,join(X_448,converse(complement(converse(X_448)))))))),bind(Y,$fot(join(converse(join(X_447,X_448)),complement(converse(X_448))))),bind(Z,$fot(join(complement(converse(X_448)),converse(join(X_447,X_448)))))]]) ).
cnf(refute_1_906,plain,
( join(converse(join(X_447,X_448)),complement(converse(X_448))) != join(complement(converse(X_448)),converse(join(X_447,X_448)))
| converse(join(X_447,join(X_448,converse(complement(converse(X_448)))))) = join(complement(converse(X_448)),converse(join(X_447,X_448))) ),
inference(resolve,[$cnf( $equal(converse(join(X_447,join(X_448,converse(complement(converse(X_448)))))),join(converse(join(X_447,X_448)),complement(converse(X_448)))) )],[refute_1_904,refute_1_905]) ).
cnf(refute_1_907,plain,
converse(join(X_447,join(X_448,converse(complement(converse(X_448)))))) = join(complement(converse(X_448)),converse(join(X_447,X_448))),
inference(resolve,[$cnf( $equal(join(converse(join(X_447,X_448)),complement(converse(X_448))),join(complement(converse(X_448)),converse(join(X_447,X_448)))) )],[refute_1_903,refute_1_906]) ).
cnf(refute_1_908,plain,
converse(join(join(X_440,X_438),X1)) = converse(join(X1,join(X_440,X_438))),
inference(subst,[],[refute_1_390:[bind(X0,$fot(join(X_440,X_438)))]]) ).
cnf(refute_1_909,plain,
converse(join(join(X_333,X_334),X1)) = join(converse(join(X_333,X_334)),converse(X1)),
inference(subst,[],[refute_1_273:[bind(X0,$fot(join(X_333,X_334)))]]) ).
cnf(refute_1_910,plain,
( converse(join(X_333,X_334)) != converse(join(X_334,X_333))
| converse(join(join(X_333,X_334),X1)) != join(converse(join(X_333,X_334)),converse(X1))
| converse(join(join(X_333,X_334),X1)) = join(converse(join(X_334,X_333)),converse(X1)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(X_333,X_334),X1)),join(converse(join(X_333,X_334)),converse(X1))) ),[1,0],$fot(converse(join(X_334,X_333)))]]) ).
cnf(refute_1_911,plain,
( converse(join(join(X_333,X_334),X1)) != join(converse(join(X_333,X_334)),converse(X1))
| converse(join(join(X_333,X_334),X1)) = join(converse(join(X_334,X_333)),converse(X1)) ),
inference(resolve,[$cnf( $equal(converse(join(X_333,X_334)),converse(join(X_334,X_333))) )],[refute_1_875,refute_1_910]) ).
cnf(refute_1_912,plain,
converse(join(join(X_333,X_334),X1)) = join(converse(join(X_334,X_333)),converse(X1)),
inference(resolve,[$cnf( $equal(converse(join(join(X_333,X_334),X1)),join(converse(join(X_333,X_334)),converse(X1))) )],[refute_1_909,refute_1_911]) ).
cnf(refute_1_913,plain,
join(join(X_333,X_334),X1) = join(X_333,join(X_334,X1)),
inference(subst,[],[refute_1_241:[bind(X0,$fot(X_333)),bind(X1,$fot(X_334)),bind(X2,$fot(X1))]]) ).
cnf(refute_1_914,plain,
converse(join(join(X_333,X_334),X1)) = converse(join(join(X_333,X_334),X1)),
introduced(tautology,[refl,[$fot(converse(join(join(X_333,X_334),X1)))]]) ).
cnf(refute_1_915,plain,
( converse(join(join(X_333,X_334),X1)) != converse(join(join(X_333,X_334),X1))
| join(join(X_333,X_334),X1) != join(X_333,join(X_334,X1))
| converse(join(join(X_333,X_334),X1)) = converse(join(X_333,join(X_334,X1))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(X_333,X_334),X1)),converse(join(join(X_333,X_334),X1))) ),[1,0],$fot(join(X_333,join(X_334,X1)))]]) ).
cnf(refute_1_916,plain,
( join(join(X_333,X_334),X1) != join(X_333,join(X_334,X1))
| converse(join(join(X_333,X_334),X1)) = converse(join(X_333,join(X_334,X1))) ),
inference(resolve,[$cnf( $equal(converse(join(join(X_333,X_334),X1)),converse(join(join(X_333,X_334),X1))) )],[refute_1_914,refute_1_915]) ).
cnf(refute_1_917,plain,
converse(join(join(X_333,X_334),X1)) = converse(join(X_333,join(X_334,X1))),
inference(resolve,[$cnf( $equal(join(join(X_333,X_334),X1),join(X_333,join(X_334,X1))) )],[refute_1_913,refute_1_916]) ).
cnf(refute_1_918,plain,
( converse(join(join(X_333,X_334),X1)) != converse(join(X_333,join(X_334,X1)))
| converse(join(join(X_333,X_334),X1)) != join(converse(join(X_334,X_333)),converse(X1))
| converse(join(X_333,join(X_334,X1))) = join(converse(join(X_334,X_333)),converse(X1)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(X_333,X_334),X1)),join(converse(join(X_334,X_333)),converse(X1))) ),[0],$fot(converse(join(X_333,join(X_334,X1))))]]) ).
cnf(refute_1_919,plain,
( converse(join(join(X_333,X_334),X1)) != join(converse(join(X_334,X_333)),converse(X1))
| converse(join(X_333,join(X_334,X1))) = join(converse(join(X_334,X_333)),converse(X1)) ),
inference(resolve,[$cnf( $equal(converse(join(join(X_333,X_334),X1)),converse(join(X_333,join(X_334,X1)))) )],[refute_1_917,refute_1_918]) ).
cnf(refute_1_920,plain,
join(join(X_334,X_333),X1) = join(X_334,join(X_333,X1)),
inference(subst,[],[refute_1_241:[bind(X0,$fot(X_334)),bind(X1,$fot(X_333)),bind(X2,$fot(X1))]]) ).
cnf(refute_1_921,plain,
converse(join(join(X_334,X_333),X1)) = converse(join(join(X_334,X_333),X1)),
introduced(tautology,[refl,[$fot(converse(join(join(X_334,X_333),X1)))]]) ).
cnf(refute_1_922,plain,
( converse(join(join(X_334,X_333),X1)) != converse(join(join(X_334,X_333),X1))
| join(join(X_334,X_333),X1) != join(X_334,join(X_333,X1))
| converse(join(join(X_334,X_333),X1)) = converse(join(X_334,join(X_333,X1))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(X_334,X_333),X1)),converse(join(join(X_334,X_333),X1))) ),[1,0],$fot(join(X_334,join(X_333,X1)))]]) ).
cnf(refute_1_923,plain,
( join(join(X_334,X_333),X1) != join(X_334,join(X_333,X1))
| converse(join(join(X_334,X_333),X1)) = converse(join(X_334,join(X_333,X1))) ),
inference(resolve,[$cnf( $equal(converse(join(join(X_334,X_333),X1)),converse(join(join(X_334,X_333),X1))) )],[refute_1_921,refute_1_922]) ).
cnf(refute_1_924,plain,
converse(join(join(X_334,X_333),X1)) = converse(join(X_334,join(X_333,X1))),
inference(resolve,[$cnf( $equal(join(join(X_334,X_333),X1),join(X_334,join(X_333,X1))) )],[refute_1_920,refute_1_923]) ).
cnf(refute_1_925,plain,
join(converse(join(X_334,X_333)),converse(X1)) = converse(join(join(X_334,X_333),X1)),
inference(subst,[],[refute_1_369:[bind(X0,$fot(join(X_334,X_333)))]]) ).
cnf(refute_1_926,plain,
( converse(join(join(X_334,X_333),X1)) != converse(join(X_334,join(X_333,X1)))
| join(converse(join(X_334,X_333)),converse(X1)) != converse(join(join(X_334,X_333),X1))
| join(converse(join(X_334,X_333)),converse(X1)) = converse(join(X_334,join(X_333,X1))) ),
inference(subst,[],[refute_1_10:[bind(X,$fot(join(converse(join(X_334,X_333)),converse(X1)))),bind(Y,$fot(converse(join(join(X_334,X_333),X1)))),bind(Z,$fot(converse(join(X_334,join(X_333,X1)))))]]) ).
cnf(refute_1_927,plain,
( converse(join(join(X_334,X_333),X1)) != converse(join(X_334,join(X_333,X1)))
| join(converse(join(X_334,X_333)),converse(X1)) = converse(join(X_334,join(X_333,X1))) ),
inference(resolve,[$cnf( $equal(join(converse(join(X_334,X_333)),converse(X1)),converse(join(join(X_334,X_333),X1))) )],[refute_1_925,refute_1_926]) ).
cnf(refute_1_928,plain,
join(converse(join(X_334,X_333)),converse(X1)) = converse(join(X_334,join(X_333,X1))),
inference(resolve,[$cnf( $equal(converse(join(join(X_334,X_333),X1)),converse(join(X_334,join(X_333,X1)))) )],[refute_1_924,refute_1_927]) ).
cnf(refute_1_929,plain,
( converse(join(X_333,join(X_334,X1))) != join(converse(join(X_334,X_333)),converse(X1))
| join(converse(join(X_334,X_333)),converse(X1)) != converse(join(X_334,join(X_333,X1)))
| converse(join(X_333,join(X_334,X1))) = converse(join(X_334,join(X_333,X1))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(join(X_333,join(X_334,X1))),converse(join(X_334,join(X_333,X1)))) ),[0],$fot(join(converse(join(X_334,X_333)),converse(X1)))]]) ).
cnf(refute_1_930,plain,
( converse(join(X_333,join(X_334,X1))) != join(converse(join(X_334,X_333)),converse(X1))
| converse(join(X_333,join(X_334,X1))) = converse(join(X_334,join(X_333,X1))) ),
inference(resolve,[$cnf( $equal(join(converse(join(X_334,X_333)),converse(X1)),converse(join(X_334,join(X_333,X1)))) )],[refute_1_928,refute_1_929]) ).
cnf(refute_1_931,plain,
( converse(join(join(X_333,X_334),X1)) != join(converse(join(X_334,X_333)),converse(X1))
| converse(join(X_333,join(X_334,X1))) = converse(join(X_334,join(X_333,X1))) ),
inference(resolve,[$cnf( $equal(converse(join(X_333,join(X_334,X1))),join(converse(join(X_334,X_333)),converse(X1))) )],[refute_1_919,refute_1_930]) ).
cnf(refute_1_932,plain,
converse(join(X_333,join(X_334,X1))) = converse(join(X_334,join(X_333,X1))),
inference(resolve,[$cnf( $equal(converse(join(join(X_333,X_334),X1)),join(converse(join(X_334,X_333)),converse(X1))) )],[refute_1_912,refute_1_931]) ).
cnf(refute_1_933,plain,
converse(join(X1,join(X_440,X_438))) = converse(join(X_440,join(X1,X_438))),
inference(subst,[],[refute_1_932:[bind(X1,$fot(X_438)),bind(X_333,$fot(X1)),bind(X_334,$fot(X_440))]]) ).
cnf(refute_1_934,plain,
( converse(join(X1,join(X_440,X_438))) != converse(join(X_440,join(X1,X_438)))
| converse(join(join(X_440,X_438),X1)) != converse(join(X1,join(X_440,X_438)))
| converse(join(join(X_440,X_438),X1)) = converse(join(X_440,join(X1,X_438))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(X_440,X_438),X1)),converse(join(X1,join(X_440,X_438)))) ),[1],$fot(converse(join(X_440,join(X1,X_438))))]]) ).
cnf(refute_1_935,plain,
( converse(join(join(X_440,X_438),X1)) != converse(join(X1,join(X_440,X_438)))
| converse(join(join(X_440,X_438),X1)) = converse(join(X_440,join(X1,X_438))) ),
inference(resolve,[$cnf( $equal(converse(join(X1,join(X_440,X_438))),converse(join(X_440,join(X1,X_438)))) )],[refute_1_933,refute_1_934]) ).
cnf(refute_1_936,plain,
converse(join(join(X_440,X_438),X1)) = converse(join(X_440,join(X1,X_438))),
inference(resolve,[$cnf( $equal(converse(join(join(X_440,X_438),X1)),converse(join(X1,join(X_440,X_438)))) )],[refute_1_908,refute_1_935]) ).
cnf(refute_1_937,plain,
join(join(X_440,X_438),X1) = join(X_440,join(X_438,X1)),
inference(subst,[],[refute_1_241:[bind(X0,$fot(X_440)),bind(X1,$fot(X_438)),bind(X2,$fot(X1))]]) ).
cnf(refute_1_938,plain,
converse(join(join(X_440,X_438),X1)) = converse(join(join(X_440,X_438),X1)),
introduced(tautology,[refl,[$fot(converse(join(join(X_440,X_438),X1)))]]) ).
cnf(refute_1_939,plain,
( converse(join(join(X_440,X_438),X1)) != converse(join(join(X_440,X_438),X1))
| join(join(X_440,X_438),X1) != join(X_440,join(X_438,X1))
| converse(join(join(X_440,X_438),X1)) = converse(join(X_440,join(X_438,X1))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(X_440,X_438),X1)),converse(join(join(X_440,X_438),X1))) ),[1,0],$fot(join(X_440,join(X_438,X1)))]]) ).
cnf(refute_1_940,plain,
( join(join(X_440,X_438),X1) != join(X_440,join(X_438,X1))
| converse(join(join(X_440,X_438),X1)) = converse(join(X_440,join(X_438,X1))) ),
inference(resolve,[$cnf( $equal(converse(join(join(X_440,X_438),X1)),converse(join(join(X_440,X_438),X1))) )],[refute_1_938,refute_1_939]) ).
cnf(refute_1_941,plain,
converse(join(join(X_440,X_438),X1)) = converse(join(X_440,join(X_438,X1))),
inference(resolve,[$cnf( $equal(join(join(X_440,X_438),X1),join(X_440,join(X_438,X1))) )],[refute_1_937,refute_1_940]) ).
cnf(refute_1_942,plain,
( converse(join(join(X_440,X_438),X1)) != converse(join(X_440,join(X1,X_438)))
| converse(join(join(X_440,X_438),X1)) != converse(join(X_440,join(X_438,X1)))
| converse(join(X_440,join(X_438,X1))) = converse(join(X_440,join(X1,X_438))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(X_440,X_438),X1)),converse(join(X_440,join(X1,X_438)))) ),[0],$fot(converse(join(X_440,join(X_438,X1))))]]) ).
cnf(refute_1_943,plain,
( converse(join(join(X_440,X_438),X1)) != converse(join(X_440,join(X1,X_438)))
| converse(join(X_440,join(X_438,X1))) = converse(join(X_440,join(X1,X_438))) ),
inference(resolve,[$cnf( $equal(converse(join(join(X_440,X_438),X1)),converse(join(X_440,join(X_438,X1)))) )],[refute_1_941,refute_1_942]) ).
cnf(refute_1_944,plain,
converse(join(X_440,join(X_438,X1))) = converse(join(X_440,join(X1,X_438))),
inference(resolve,[$cnf( $equal(converse(join(join(X_440,X_438),X1)),converse(join(X_440,join(X1,X_438)))) )],[refute_1_936,refute_1_943]) ).
cnf(refute_1_945,plain,
( converse(join(X_440,join(X_438,X1))) != converse(join(X_440,join(X1,X_438)))
| converse(join(X_440,join(X1,X_438))) = converse(join(X_440,join(X_438,X1))) ),
inference(subst,[],[refute_1_5:[bind(X,$fot(converse(join(X_440,join(X_438,X1))))),bind(Y,$fot(converse(join(X_440,join(X1,X_438)))))]]) ).
cnf(refute_1_946,plain,
converse(join(X_440,join(X1,X_438))) = converse(join(X_440,join(X_438,X1))),
inference(resolve,[$cnf( $equal(converse(join(X_440,join(X_438,X1))),converse(join(X_440,join(X1,X_438)))) )],[refute_1_944,refute_1_945]) ).
cnf(refute_1_947,plain,
converse(join(X_447,join(converse(complement(converse(X_448))),X_448))) = converse(join(X_447,join(X_448,converse(complement(converse(X_448)))))),
inference(subst,[],[refute_1_946:[bind(X1,$fot(converse(complement(converse(X_448))))),bind(X_438,$fot(X_448)),bind(X_440,$fot(X_447))]]) ).
cnf(refute_1_948,plain,
( converse(join(X_447,join(X_448,converse(complement(converse(X_448)))))) != join(complement(converse(X_448)),converse(join(X_447,X_448)))
| converse(join(X_447,join(converse(complement(converse(X_448))),X_448))) != converse(join(X_447,join(X_448,converse(complement(converse(X_448))))))
| converse(join(X_447,join(converse(complement(converse(X_448))),X_448))) = join(complement(converse(X_448)),converse(join(X_447,X_448))) ),
inference(subst,[],[refute_1_10:[bind(X,$fot(converse(join(X_447,join(converse(complement(converse(X_448))),X_448))))),bind(Y,$fot(converse(join(X_447,join(X_448,converse(complement(converse(X_448)))))))),bind(Z,$fot(join(complement(converse(X_448)),converse(join(X_447,X_448)))))]]) ).
cnf(refute_1_949,plain,
( converse(join(X_447,join(X_448,converse(complement(converse(X_448)))))) != join(complement(converse(X_448)),converse(join(X_447,X_448)))
| converse(join(X_447,join(converse(complement(converse(X_448))),X_448))) = join(complement(converse(X_448)),converse(join(X_447,X_448))) ),
inference(resolve,[$cnf( $equal(converse(join(X_447,join(converse(complement(converse(X_448))),X_448))),converse(join(X_447,join(X_448,converse(complement(converse(X_448))))))) )],[refute_1_947,refute_1_948]) ).
cnf(refute_1_950,plain,
converse(join(X_447,join(converse(complement(converse(X_448))),X_448))) = join(complement(converse(X_448)),converse(join(X_447,X_448))),
inference(resolve,[$cnf( $equal(converse(join(X_447,join(X_448,converse(complement(converse(X_448)))))),join(complement(converse(X_448)),converse(join(X_447,X_448)))) )],[refute_1_907,refute_1_949]) ).
cnf(refute_1_951,plain,
( converse(join(X_447,join(converse(complement(converse(X_448))),X_448))) != join(complement(converse(X_448)),converse(join(X_447,X_448)))
| top != converse(join(X_447,join(converse(complement(converse(X_448))),X_448)))
| top = join(complement(converse(X_448)),converse(join(X_447,X_448))) ),
introduced(tautology,[equality,[$cnf( $equal(top,converse(join(X_447,join(converse(complement(converse(X_448))),X_448)))) ),[1],$fot(join(complement(converse(X_448)),converse(join(X_447,X_448))))]]) ).
cnf(refute_1_952,plain,
( top != converse(join(X_447,join(converse(complement(converse(X_448))),X_448)))
| top = join(complement(converse(X_448)),converse(join(X_447,X_448))) ),
inference(resolve,[$cnf( $equal(converse(join(X_447,join(converse(complement(converse(X_448))),X_448))),join(complement(converse(X_448)),converse(join(X_447,X_448)))) )],[refute_1_950,refute_1_951]) ).
cnf(refute_1_953,plain,
( converse(join(X_447,top)) != converse(join(X_447,join(converse(complement(converse(X_448))),X_448)))
| top = join(complement(converse(X_448)),converse(join(X_447,X_448))) ),
inference(resolve,[$cnf( $equal(top,converse(join(X_447,join(converse(complement(converse(X_448))),X_448)))) )],[refute_1_902,refute_1_952]) ).
cnf(refute_1_954,plain,
top = join(complement(converse(X_448)),converse(join(X_447,X_448))),
inference(resolve,[$cnf( $equal(converse(join(X_447,top)),converse(join(X_447,join(converse(complement(converse(X_448))),X_448)))) )],[refute_1_892,refute_1_953]) ).
cnf(refute_1_955,plain,
top = join(complement(converse(X_555)),converse(join(X_554,X_555))),
inference(subst,[],[refute_1_954:[bind(X_447,$fot(X_554)),bind(X_448,$fot(X_555))]]) ).
cnf(refute_1_956,plain,
( top != join(complement(converse(X_555)),converse(join(X_554,X_555)))
| join(complement(converse(X_555)),converse(join(X_554,X_555))) = top ),
inference(subst,[],[refute_1_5:[bind(X,$fot(top)),bind(Y,$fot(join(complement(converse(X_555)),converse(join(X_554,X_555)))))]]) ).
cnf(refute_1_957,plain,
join(complement(converse(X_555)),converse(join(X_554,X_555))) = top,
inference(resolve,[$cnf( $equal(top,join(complement(converse(X_555)),converse(join(X_554,X_555)))) )],[refute_1_955,refute_1_956]) ).
cnf(refute_1_958,plain,
( converse(X_555) != meet(converse(X_555),join(converse(join(X_554,X_555)),complement(join(complement(converse(X_555)),converse(join(X_554,X_555))))))
| join(complement(converse(X_555)),converse(join(X_554,X_555))) != top
| converse(X_555) = meet(converse(X_555),join(converse(join(X_554,X_555)),complement(top))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(X_555),meet(converse(X_555),join(converse(join(X_554,X_555)),complement(join(complement(converse(X_555)),converse(join(X_554,X_555))))))) ),[1,1,1,0],$fot(top)]]) ).
cnf(refute_1_959,plain,
( converse(X_555) != meet(converse(X_555),join(converse(join(X_554,X_555)),complement(join(complement(converse(X_555)),converse(join(X_554,X_555))))))
| converse(X_555) = meet(converse(X_555),join(converse(join(X_554,X_555)),complement(top))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(X_555)),converse(join(X_554,X_555))),top) )],[refute_1_957,refute_1_958]) ).
cnf(refute_1_960,plain,
converse(X_555) = meet(converse(X_555),join(converse(join(X_554,X_555)),complement(top))),
inference(resolve,[$cnf( $equal(converse(X_555),meet(converse(X_555),join(converse(join(X_554,X_555)),complement(join(complement(converse(X_555)),converse(join(X_554,X_555))))))) )],[refute_1_873,refute_1_959]) ).
cnf(refute_1_961,plain,
join(zero,converse(join(X_555,X_554))) = converse(join(X_555,X_554)),
inference(subst,[],[refute_1_711:[bind(X_387,$fot(converse(join(X_555,X_554))))]]) ).
cnf(refute_1_962,plain,
join(complement(top),converse(join(X_555,X_554))) = join(complement(top),converse(join(X_555,X_554))),
introduced(tautology,[refl,[$fot(join(complement(top),converse(join(X_555,X_554))))]]) ).
cnf(refute_1_963,plain,
( complement(top) != zero
| join(complement(top),converse(join(X_555,X_554))) != join(complement(top),converse(join(X_555,X_554)))
| join(complement(top),converse(join(X_555,X_554))) = join(zero,converse(join(X_555,X_554))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),converse(join(X_555,X_554))),join(complement(top),converse(join(X_555,X_554)))) ),[1,0],$fot(zero)]]) ).
cnf(refute_1_964,plain,
( complement(top) != zero
| join(complement(top),converse(join(X_555,X_554))) = join(zero,converse(join(X_555,X_554))) ),
inference(resolve,[$cnf( $equal(join(complement(top),converse(join(X_555,X_554))),join(complement(top),converse(join(X_555,X_554)))) )],[refute_1_962,refute_1_963]) ).
cnf(refute_1_965,plain,
join(complement(top),converse(join(X_555,X_554))) = join(zero,converse(join(X_555,X_554))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_1_74,refute_1_964]) ).
cnf(refute_1_966,plain,
( join(complement(top),converse(join(X_555,X_554))) != join(zero,converse(join(X_555,X_554)))
| join(zero,converse(join(X_555,X_554))) != converse(join(X_555,X_554))
| join(complement(top),converse(join(X_555,X_554))) = converse(join(X_555,X_554)) ),
inference(subst,[],[refute_1_10:[bind(X,$fot(join(complement(top),converse(join(X_555,X_554))))),bind(Y,$fot(join(zero,converse(join(X_555,X_554))))),bind(Z,$fot(converse(join(X_555,X_554))))]]) ).
cnf(refute_1_967,plain,
( join(zero,converse(join(X_555,X_554))) != converse(join(X_555,X_554))
| join(complement(top),converse(join(X_555,X_554))) = converse(join(X_555,X_554)) ),
inference(resolve,[$cnf( $equal(join(complement(top),converse(join(X_555,X_554))),join(zero,converse(join(X_555,X_554)))) )],[refute_1_965,refute_1_966]) ).
cnf(refute_1_968,plain,
join(complement(top),converse(join(X_555,X_554))) = converse(join(X_555,X_554)),
inference(resolve,[$cnf( $equal(join(zero,converse(join(X_555,X_554))),converse(join(X_555,X_554))) )],[refute_1_961,refute_1_967]) ).
cnf(refute_1_969,plain,
converse(join(X0,join(converse(X_512),X_334))) = converse(join(X0,join(X_334,converse(X_512)))),
inference(subst,[],[refute_1_882:[bind(X_333,$fot(converse(X_512)))]]) ).
cnf(refute_1_970,plain,
converse(join(converse(join(X1,X0)),X_343)) = join(join(X1,X0),converse(X_343)),
inference(subst,[],[refute_1_277:[bind(X0,$fot(join(X1,X0))),bind(X_330,$fot(X_343))]]) ).
cnf(refute_1_971,plain,
( converse(join(X1,X0)) != converse(join(X0,X1))
| converse(join(converse(join(X1,X0)),X_343)) != join(join(X1,X0),converse(X_343))
| converse(join(converse(join(X0,X1)),X_343)) = join(join(X1,X0),converse(X_343)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(join(X1,X0)),X_343)),join(join(X1,X0),converse(X_343))) ),[0,0,0],$fot(converse(join(X0,X1)))]]) ).
cnf(refute_1_972,plain,
( converse(join(converse(join(X1,X0)),X_343)) != join(join(X1,X0),converse(X_343))
| converse(join(converse(join(X0,X1)),X_343)) = join(join(X1,X0),converse(X_343)) ),
inference(resolve,[$cnf( $equal(converse(join(X1,X0)),converse(join(X0,X1))) )],[refute_1_516,refute_1_971]) ).
cnf(refute_1_973,plain,
converse(join(converse(join(X0,X1)),X_343)) = join(join(X1,X0),converse(X_343)),
inference(resolve,[$cnf( $equal(converse(join(converse(join(X1,X0)),X_343)),join(join(X1,X0),converse(X_343))) )],[refute_1_970,refute_1_972]) ).
cnf(refute_1_974,plain,
join(join(X0,X1),converse(X_343)) = join(X0,join(X1,converse(X_343))),
inference(subst,[],[refute_1_241:[bind(X2,$fot(converse(X_343)))]]) ).
cnf(refute_1_975,plain,
converse(join(converse(join(X0,X1)),X_343)) = join(join(X0,X1),converse(X_343)),
inference(subst,[],[refute_1_277:[bind(X0,$fot(join(X0,X1))),bind(X_330,$fot(X_343))]]) ).
cnf(refute_1_976,plain,
( converse(join(converse(join(X0,X1)),X_343)) != join(join(X0,X1),converse(X_343))
| join(join(X0,X1),converse(X_343)) != join(X0,join(X1,converse(X_343)))
| converse(join(converse(join(X0,X1)),X_343)) = join(X0,join(X1,converse(X_343))) ),
inference(subst,[],[refute_1_10:[bind(X,$fot(converse(join(converse(join(X0,X1)),X_343)))),bind(Y,$fot(join(join(X0,X1),converse(X_343)))),bind(Z,$fot(join(X0,join(X1,converse(X_343)))))]]) ).
cnf(refute_1_977,plain,
( join(join(X0,X1),converse(X_343)) != join(X0,join(X1,converse(X_343)))
| converse(join(converse(join(X0,X1)),X_343)) = join(X0,join(X1,converse(X_343))) ),
inference(resolve,[$cnf( $equal(converse(join(converse(join(X0,X1)),X_343)),join(join(X0,X1),converse(X_343))) )],[refute_1_975,refute_1_976]) ).
cnf(refute_1_978,plain,
converse(join(converse(join(X0,X1)),X_343)) = join(X0,join(X1,converse(X_343))),
inference(resolve,[$cnf( $equal(join(join(X0,X1),converse(X_343)),join(X0,join(X1,converse(X_343)))) )],[refute_1_974,refute_1_977]) ).
cnf(refute_1_979,plain,
( converse(join(converse(join(X0,X1)),X_343)) != join(X0,join(X1,converse(X_343)))
| converse(join(converse(join(X0,X1)),X_343)) != join(join(X1,X0),converse(X_343))
| join(X0,join(X1,converse(X_343))) = join(join(X1,X0),converse(X_343)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(join(X0,X1)),X_343)),join(join(X1,X0),converse(X_343))) ),[0],$fot(join(X0,join(X1,converse(X_343))))]]) ).
cnf(refute_1_980,plain,
( converse(join(converse(join(X0,X1)),X_343)) != join(join(X1,X0),converse(X_343))
| join(X0,join(X1,converse(X_343))) = join(join(X1,X0),converse(X_343)) ),
inference(resolve,[$cnf( $equal(converse(join(converse(join(X0,X1)),X_343)),join(X0,join(X1,converse(X_343)))) )],[refute_1_978,refute_1_979]) ).
cnf(refute_1_981,plain,
join(join(X1,X0),converse(X_343)) = join(X1,join(X0,converse(X_343))),
inference(subst,[],[refute_1_241:[bind(X0,$fot(X1)),bind(X1,$fot(X0)),bind(X2,$fot(converse(X_343)))]]) ).
cnf(refute_1_982,plain,
( join(X0,join(X1,converse(X_343))) != join(join(X1,X0),converse(X_343))
| join(join(X1,X0),converse(X_343)) != join(X1,join(X0,converse(X_343)))
| join(X0,join(X1,converse(X_343))) = join(X1,join(X0,converse(X_343))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X0,join(X1,converse(X_343))),join(X1,join(X0,converse(X_343)))) ),[0],$fot(join(join(X1,X0),converse(X_343)))]]) ).
cnf(refute_1_983,plain,
( join(X0,join(X1,converse(X_343))) != join(join(X1,X0),converse(X_343))
| join(X0,join(X1,converse(X_343))) = join(X1,join(X0,converse(X_343))) ),
inference(resolve,[$cnf( $equal(join(join(X1,X0),converse(X_343)),join(X1,join(X0,converse(X_343)))) )],[refute_1_981,refute_1_982]) ).
cnf(refute_1_984,plain,
( converse(join(converse(join(X0,X1)),X_343)) != join(join(X1,X0),converse(X_343))
| join(X0,join(X1,converse(X_343))) = join(X1,join(X0,converse(X_343))) ),
inference(resolve,[$cnf( $equal(join(X0,join(X1,converse(X_343))),join(join(X1,X0),converse(X_343))) )],[refute_1_980,refute_1_983]) ).
cnf(refute_1_985,plain,
join(X0,join(X1,converse(X_343))) = join(X1,join(X0,converse(X_343))),
inference(resolve,[$cnf( $equal(converse(join(converse(join(X0,X1)),X_343)),join(join(X1,X0),converse(X_343))) )],[refute_1_973,refute_1_984]) ).
cnf(refute_1_986,plain,
join(X0,join(X_334,converse(X_512))) = join(X_334,join(X0,converse(X_512))),
inference(subst,[],[refute_1_985:[bind(X1,$fot(X_334)),bind(X_343,$fot(X_512))]]) ).
cnf(refute_1_987,plain,
( converse(join(X0,join(converse(X_512),X_334))) != converse(join(X0,join(X_334,converse(X_512))))
| join(X0,join(X_334,converse(X_512))) != join(X_334,join(X0,converse(X_512)))
| converse(join(X0,join(converse(X_512),X_334))) = converse(join(X_334,join(X0,converse(X_512)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X0,join(converse(X_512),X_334))),converse(join(X0,join(X_334,converse(X_512))))) ),[1,0],$fot(join(X_334,join(X0,converse(X_512))))]]) ).
cnf(refute_1_988,plain,
( converse(join(X0,join(converse(X_512),X_334))) != converse(join(X0,join(X_334,converse(X_512))))
| converse(join(X0,join(converse(X_512),X_334))) = converse(join(X_334,join(X0,converse(X_512)))) ),
inference(resolve,[$cnf( $equal(join(X0,join(X_334,converse(X_512))),join(X_334,join(X0,converse(X_512)))) )],[refute_1_986,refute_1_987]) ).
cnf(refute_1_989,plain,
converse(join(X0,join(converse(X_512),X_334))) = converse(join(X_334,join(X0,converse(X_512)))),
inference(resolve,[$cnf( $equal(converse(join(X0,join(converse(X_512),X_334))),converse(join(X0,join(X_334,converse(X_512))))) )],[refute_1_969,refute_1_988]) ).
cnf(refute_1_990,plain,
converse(join(converse(X0),join(X_440,X_438))) = join(X0,converse(join(X_440,X_438))),
inference(subst,[],[refute_1_277:[bind(X_330,$fot(join(X_440,X_438)))]]) ).
cnf(refute_1_991,plain,
converse(join(converse(X0),join(X_440,X_438))) = converse(join(X_440,join(converse(X0),X_438))),
inference(subst,[],[refute_1_932:[bind(X1,$fot(X_438)),bind(X_333,$fot(converse(X0))),bind(X_334,$fot(X_440))]]) ).
cnf(refute_1_992,plain,
( converse(join(converse(X0),join(X_440,X_438))) != converse(join(X_440,join(converse(X0),X_438)))
| converse(join(converse(X0),join(X_440,X_438))) != join(X0,converse(join(X_440,X_438)))
| converse(join(X_440,join(converse(X0),X_438))) = join(X0,converse(join(X_440,X_438))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X0),join(X_440,X_438))),join(X0,converse(join(X_440,X_438)))) ),[0],$fot(converse(join(X_440,join(converse(X0),X_438))))]]) ).
cnf(refute_1_993,plain,
( converse(join(converse(X0),join(X_440,X_438))) != join(X0,converse(join(X_440,X_438)))
| converse(join(X_440,join(converse(X0),X_438))) = join(X0,converse(join(X_440,X_438))) ),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),join(X_440,X_438))),converse(join(X_440,join(converse(X0),X_438)))) )],[refute_1_991,refute_1_992]) ).
cnf(refute_1_994,plain,
converse(join(X_440,join(converse(X0),X_438))) = join(X0,converse(join(X_440,X_438))),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),join(X_440,X_438))),join(X0,converse(join(X_440,X_438)))) )],[refute_1_990,refute_1_993]) ).
cnf(refute_1_995,plain,
converse(join(X0,join(converse(X_512),X_334))) = join(X_512,converse(join(X0,X_334))),
inference(subst,[],[refute_1_994:[bind(X0,$fot(X_512)),bind(X_438,$fot(X_334)),bind(X_440,$fot(X0))]]) ).
cnf(refute_1_996,plain,
( converse(join(X0,join(converse(X_512),X_334))) != converse(join(X_334,join(X0,converse(X_512))))
| converse(join(X0,join(converse(X_512),X_334))) != join(X_512,converse(join(X0,X_334)))
| join(X_512,converse(join(X0,X_334))) = converse(join(X_334,join(X0,converse(X_512)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X0,join(converse(X_512),X_334))),converse(join(X_334,join(X0,converse(X_512))))) ),[0],$fot(join(X_512,converse(join(X0,X_334))))]]) ).
cnf(refute_1_997,plain,
( converse(join(X0,join(converse(X_512),X_334))) != converse(join(X_334,join(X0,converse(X_512))))
| join(X_512,converse(join(X0,X_334))) = converse(join(X_334,join(X0,converse(X_512)))) ),
inference(resolve,[$cnf( $equal(converse(join(X0,join(converse(X_512),X_334))),join(X_512,converse(join(X0,X_334)))) )],[refute_1_995,refute_1_996]) ).
cnf(refute_1_998,plain,
converse(join(X_334,join(X0,converse(X_512)))) = join(converse(join(X_334,X0)),X_512),
inference(subst,[],[refute_1_419:[bind(X0,$fot(X_512)),bind(X_358,$fot(X_334)),bind(X_359,$fot(X0))]]) ).
cnf(refute_1_999,plain,
( converse(join(X_334,join(X0,converse(X_512)))) != join(converse(join(X_334,X0)),X_512)
| join(X_512,converse(join(X0,X_334))) != converse(join(X_334,join(X0,converse(X_512))))
| join(X_512,converse(join(X0,X_334))) = join(converse(join(X_334,X0)),X_512) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_512,converse(join(X0,X_334))),converse(join(X_334,join(X0,converse(X_512))))) ),[1],$fot(join(converse(join(X_334,X0)),X_512))]]) ).
cnf(refute_1_1000,plain,
( join(X_512,converse(join(X0,X_334))) != converse(join(X_334,join(X0,converse(X_512))))
| join(X_512,converse(join(X0,X_334))) = join(converse(join(X_334,X0)),X_512) ),
inference(resolve,[$cnf( $equal(converse(join(X_334,join(X0,converse(X_512)))),join(converse(join(X_334,X0)),X_512)) )],[refute_1_998,refute_1_999]) ).
cnf(refute_1_1001,plain,
( converse(join(X0,join(converse(X_512),X_334))) != converse(join(X_334,join(X0,converse(X_512))))
| join(X_512,converse(join(X0,X_334))) = join(converse(join(X_334,X0)),X_512) ),
inference(resolve,[$cnf( $equal(join(X_512,converse(join(X0,X_334))),converse(join(X_334,join(X0,converse(X_512))))) )],[refute_1_997,refute_1_1000]) ).
cnf(refute_1_1002,plain,
join(X_512,converse(join(X0,X_334))) = join(converse(join(X_334,X0)),X_512),
inference(resolve,[$cnf( $equal(converse(join(X0,join(converse(X_512),X_334))),converse(join(X_334,join(X0,converse(X_512))))) )],[refute_1_989,refute_1_1001]) ).
cnf(refute_1_1003,plain,
( join(X_512,converse(join(X0,X_334))) != join(converse(join(X_334,X0)),X_512)
| join(converse(join(X_334,X0)),X_512) = join(X_512,converse(join(X0,X_334))) ),
inference(subst,[],[refute_1_5:[bind(X,$fot(join(X_512,converse(join(X0,X_334))))),bind(Y,$fot(join(converse(join(X_334,X0)),X_512)))]]) ).
cnf(refute_1_1004,plain,
join(converse(join(X_334,X0)),X_512) = join(X_512,converse(join(X0,X_334))),
inference(resolve,[$cnf( $equal(join(X_512,converse(join(X0,X_334))),join(converse(join(X_334,X0)),X_512)) )],[refute_1_1002,refute_1_1003]) ).
cnf(refute_1_1005,plain,
join(converse(join(X_554,X_555)),complement(top)) = join(complement(top),converse(join(X_555,X_554))),
inference(subst,[],[refute_1_1004:[bind(X0,$fot(X_555)),bind(X_334,$fot(X_554)),bind(X_512,$fot(complement(top)))]]) ).
cnf(refute_1_1006,plain,
( join(complement(top),converse(join(X_555,X_554))) != converse(join(X_555,X_554))
| join(converse(join(X_554,X_555)),complement(top)) != join(complement(top),converse(join(X_555,X_554)))
| join(converse(join(X_554,X_555)),complement(top)) = converse(join(X_555,X_554)) ),
inference(subst,[],[refute_1_10:[bind(X,$fot(join(converse(join(X_554,X_555)),complement(top)))),bind(Y,$fot(join(complement(top),converse(join(X_555,X_554))))),bind(Z,$fot(converse(join(X_555,X_554))))]]) ).
cnf(refute_1_1007,plain,
( join(complement(top),converse(join(X_555,X_554))) != converse(join(X_555,X_554))
| join(converse(join(X_554,X_555)),complement(top)) = converse(join(X_555,X_554)) ),
inference(resolve,[$cnf( $equal(join(converse(join(X_554,X_555)),complement(top)),join(complement(top),converse(join(X_555,X_554)))) )],[refute_1_1005,refute_1_1006]) ).
cnf(refute_1_1008,plain,
join(converse(join(X_554,X_555)),complement(top)) = converse(join(X_555,X_554)),
inference(resolve,[$cnf( $equal(join(complement(top),converse(join(X_555,X_554))),converse(join(X_555,X_554))) )],[refute_1_968,refute_1_1007]) ).
cnf(refute_1_1009,plain,
meet(converse(X_555),join(converse(join(X_554,X_555)),complement(top))) = meet(converse(X_555),join(converse(join(X_554,X_555)),complement(top))),
introduced(tautology,[refl,[$fot(meet(converse(X_555),join(converse(join(X_554,X_555)),complement(top))))]]) ).
cnf(refute_1_1010,plain,
( join(converse(join(X_554,X_555)),complement(top)) != converse(join(X_555,X_554))
| meet(converse(X_555),join(converse(join(X_554,X_555)),complement(top))) != meet(converse(X_555),join(converse(join(X_554,X_555)),complement(top)))
| meet(converse(X_555),join(converse(join(X_554,X_555)),complement(top))) = meet(converse(X_555),converse(join(X_555,X_554))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(X_555),join(converse(join(X_554,X_555)),complement(top))),meet(converse(X_555),join(converse(join(X_554,X_555)),complement(top)))) ),[1,1],$fot(converse(join(X_555,X_554)))]]) ).
cnf(refute_1_1011,plain,
( join(converse(join(X_554,X_555)),complement(top)) != converse(join(X_555,X_554))
| meet(converse(X_555),join(converse(join(X_554,X_555)),complement(top))) = meet(converse(X_555),converse(join(X_555,X_554))) ),
inference(resolve,[$cnf( $equal(meet(converse(X_555),join(converse(join(X_554,X_555)),complement(top))),meet(converse(X_555),join(converse(join(X_554,X_555)),complement(top)))) )],[refute_1_1009,refute_1_1010]) ).
cnf(refute_1_1012,plain,
meet(converse(X_555),join(converse(join(X_554,X_555)),complement(top))) = meet(converse(X_555),converse(join(X_555,X_554))),
inference(resolve,[$cnf( $equal(join(converse(join(X_554,X_555)),complement(top)),converse(join(X_555,X_554))) )],[refute_1_1008,refute_1_1011]) ).
cnf(refute_1_1013,plain,
( converse(X_555) != meet(converse(X_555),join(converse(join(X_554,X_555)),complement(top)))
| meet(converse(X_555),join(converse(join(X_554,X_555)),complement(top))) != meet(converse(X_555),converse(join(X_555,X_554)))
| converse(X_555) = meet(converse(X_555),converse(join(X_555,X_554))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(X_555),meet(converse(X_555),converse(join(X_555,X_554)))) ),[0],$fot(meet(converse(X_555),join(converse(join(X_554,X_555)),complement(top))))]]) ).
cnf(refute_1_1014,plain,
( converse(X_555) != meet(converse(X_555),join(converse(join(X_554,X_555)),complement(top)))
| converse(X_555) = meet(converse(X_555),converse(join(X_555,X_554))) ),
inference(resolve,[$cnf( $equal(meet(converse(X_555),join(converse(join(X_554,X_555)),complement(top))),meet(converse(X_555),converse(join(X_555,X_554)))) )],[refute_1_1012,refute_1_1013]) ).
cnf(refute_1_1015,plain,
converse(X_555) = meet(converse(X_555),converse(join(X_555,X_554))),
inference(resolve,[$cnf( $equal(converse(X_555),meet(converse(X_555),join(converse(join(X_554,X_555)),complement(top)))) )],[refute_1_960,refute_1_1014]) ).
cnf(refute_1_1016,plain,
converse(converse(X0)) = meet(converse(converse(X0)),converse(join(converse(X0),converse(X1)))),
inference(subst,[],[refute_1_1015:[bind(X_554,$fot(converse(X1))),bind(X_555,$fot(converse(X0)))]]) ).
cnf(refute_1_1017,plain,
( converse(converse(X0)) != meet(converse(converse(X0)),converse(join(converse(X0),converse(X1))))
| join(converse(X0),converse(X1)) != converse(join(X0,X1))
| converse(converse(X0)) = meet(converse(converse(X0)),converse(converse(join(X0,X1)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(X0)),meet(converse(converse(X0)),converse(join(converse(X0),converse(X1))))) ),[1,1,0],$fot(converse(join(X0,X1)))]]) ).
cnf(refute_1_1018,plain,
( converse(converse(X0)) != meet(converse(converse(X0)),converse(join(converse(X0),converse(X1))))
| converse(converse(X0)) = meet(converse(converse(X0)),converse(converse(join(X0,X1)))) ),
inference(resolve,[$cnf( $equal(join(converse(X0),converse(X1)),converse(join(X0,X1))) )],[refute_1_369,refute_1_1017]) ).
cnf(refute_1_1019,plain,
converse(converse(X0)) = meet(converse(converse(X0)),converse(converse(join(X0,X1)))),
inference(resolve,[$cnf( $equal(converse(converse(X0)),meet(converse(converse(X0)),converse(join(converse(X0),converse(X1))))) )],[refute_1_1016,refute_1_1018]) ).
cnf(refute_1_1020,plain,
( converse(converse(X0)) != X0
| converse(converse(X0)) != meet(converse(converse(X0)),converse(converse(join(X0,X1))))
| X0 = meet(converse(converse(X0)),converse(converse(join(X0,X1)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(X0)),meet(converse(converse(X0)),converse(converse(join(X0,X1))))) ),[0],$fot(X0)]]) ).
cnf(refute_1_1021,plain,
( converse(converse(X0)) != meet(converse(converse(X0)),converse(converse(join(X0,X1))))
| X0 = meet(converse(converse(X0)),converse(converse(join(X0,X1)))) ),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_1_30,refute_1_1020]) ).
cnf(refute_1_1022,plain,
converse(converse(join(X0,X1))) = join(X0,X1),
inference(subst,[],[refute_1_30:[bind(X0,$fot(join(X0,X1)))]]) ).
cnf(refute_1_1023,plain,
meet(X0,converse(converse(join(X0,X1)))) = meet(X0,converse(converse(join(X0,X1)))),
introduced(tautology,[refl,[$fot(meet(X0,converse(converse(join(X0,X1)))))]]) ).
cnf(refute_1_1024,plain,
( converse(converse(join(X0,X1))) != join(X0,X1)
| meet(X0,converse(converse(join(X0,X1)))) != meet(X0,converse(converse(join(X0,X1))))
| meet(X0,converse(converse(join(X0,X1)))) = meet(X0,join(X0,X1)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X0,converse(converse(join(X0,X1)))),meet(X0,converse(converse(join(X0,X1))))) ),[1,1],$fot(join(X0,X1))]]) ).
cnf(refute_1_1025,plain,
( converse(converse(join(X0,X1))) != join(X0,X1)
| meet(X0,converse(converse(join(X0,X1)))) = meet(X0,join(X0,X1)) ),
inference(resolve,[$cnf( $equal(meet(X0,converse(converse(join(X0,X1)))),meet(X0,converse(converse(join(X0,X1))))) )],[refute_1_1023,refute_1_1024]) ).
cnf(refute_1_1026,plain,
meet(X0,converse(converse(join(X0,X1)))) = meet(X0,join(X0,X1)),
inference(resolve,[$cnf( $equal(converse(converse(join(X0,X1))),join(X0,X1)) )],[refute_1_1022,refute_1_1025]) ).
cnf(refute_1_1027,plain,
meet(converse(converse(X0)),converse(converse(join(X0,X1)))) = meet(converse(converse(X0)),converse(converse(join(X0,X1)))),
introduced(tautology,[refl,[$fot(meet(converse(converse(X0)),converse(converse(join(X0,X1)))))]]) ).
cnf(refute_1_1028,plain,
( converse(converse(X0)) != X0
| meet(converse(converse(X0)),converse(converse(join(X0,X1)))) != meet(converse(converse(X0)),converse(converse(join(X0,X1))))
| meet(converse(converse(X0)),converse(converse(join(X0,X1)))) = meet(X0,converse(converse(join(X0,X1)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(converse(X0)),converse(converse(join(X0,X1)))),meet(converse(converse(X0)),converse(converse(join(X0,X1))))) ),[1,0],$fot(X0)]]) ).
cnf(refute_1_1029,plain,
( converse(converse(X0)) != X0
| meet(converse(converse(X0)),converse(converse(join(X0,X1)))) = meet(X0,converse(converse(join(X0,X1)))) ),
inference(resolve,[$cnf( $equal(meet(converse(converse(X0)),converse(converse(join(X0,X1)))),meet(converse(converse(X0)),converse(converse(join(X0,X1))))) )],[refute_1_1027,refute_1_1028]) ).
cnf(refute_1_1030,plain,
meet(converse(converse(X0)),converse(converse(join(X0,X1)))) = meet(X0,converse(converse(join(X0,X1)))),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_1_30,refute_1_1029]) ).
cnf(refute_1_1031,plain,
( meet(X0,converse(converse(join(X0,X1)))) != meet(X0,join(X0,X1))
| meet(converse(converse(X0)),converse(converse(join(X0,X1)))) != meet(X0,converse(converse(join(X0,X1))))
| meet(converse(converse(X0)),converse(converse(join(X0,X1)))) = meet(X0,join(X0,X1)) ),
inference(subst,[],[refute_1_10:[bind(X,$fot(meet(converse(converse(X0)),converse(converse(join(X0,X1)))))),bind(Y,$fot(meet(X0,converse(converse(join(X0,X1)))))),bind(Z,$fot(meet(X0,join(X0,X1))))]]) ).
cnf(refute_1_1032,plain,
( meet(X0,converse(converse(join(X0,X1)))) != meet(X0,join(X0,X1))
| meet(converse(converse(X0)),converse(converse(join(X0,X1)))) = meet(X0,join(X0,X1)) ),
inference(resolve,[$cnf( $equal(meet(converse(converse(X0)),converse(converse(join(X0,X1)))),meet(X0,converse(converse(join(X0,X1))))) )],[refute_1_1030,refute_1_1031]) ).
cnf(refute_1_1033,plain,
meet(converse(converse(X0)),converse(converse(join(X0,X1)))) = meet(X0,join(X0,X1)),
inference(resolve,[$cnf( $equal(meet(X0,converse(converse(join(X0,X1)))),meet(X0,join(X0,X1))) )],[refute_1_1026,refute_1_1032]) ).
cnf(refute_1_1034,plain,
( X0 != meet(converse(converse(X0)),converse(converse(join(X0,X1))))
| meet(converse(converse(X0)),converse(converse(join(X0,X1)))) != meet(X0,join(X0,X1))
| X0 = meet(X0,join(X0,X1)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X0,meet(X0,join(X0,X1))) ),[0],$fot(meet(converse(converse(X0)),converse(converse(join(X0,X1)))))]]) ).
cnf(refute_1_1035,plain,
( X0 != meet(converse(converse(X0)),converse(converse(join(X0,X1))))
| X0 = meet(X0,join(X0,X1)) ),
inference(resolve,[$cnf( $equal(meet(converse(converse(X0)),converse(converse(join(X0,X1)))),meet(X0,join(X0,X1))) )],[refute_1_1033,refute_1_1034]) ).
cnf(refute_1_1036,plain,
( converse(converse(X0)) != meet(converse(converse(X0)),converse(converse(join(X0,X1))))
| X0 = meet(X0,join(X0,X1)) ),
inference(resolve,[$cnf( $equal(X0,meet(converse(converse(X0)),converse(converse(join(X0,X1))))) )],[refute_1_1021,refute_1_1035]) ).
cnf(refute_1_1037,plain,
X0 = meet(X0,join(X0,X1)),
inference(resolve,[$cnf( $equal(converse(converse(X0)),meet(converse(converse(X0)),converse(converse(join(X0,X1))))) )],[refute_1_1019,refute_1_1036]) ).
cnf(refute_1_1038,plain,
complement(composition(complement(skolemFOFtoCNF_X0_1),top)) = meet(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top)))),
inference(subst,[],[refute_1_1037:[bind(X0,$fot(complement(composition(complement(skolemFOFtoCNF_X0_1),top)))),bind(X1,$fot(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top))))]]) ).
cnf(refute_1_1039,plain,
complement(X_387) = join(meet(X_409,complement(X_387)),complement(join(complement(complement(X_387)),X_409))),
inference(subst,[],[refute_1_833:[bind(X_387,$fot(complement(X_387))),bind(X_388,$fot(X_409))]]) ).
cnf(refute_1_1040,plain,
( complement(X_387) != join(meet(X_409,complement(X_387)),complement(join(complement(complement(X_387)),X_409)))
| complement(complement(X_387)) != X_387
| complement(X_387) = join(meet(X_409,complement(X_387)),complement(join(X_387,X_409))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(X_387),join(meet(X_409,complement(X_387)),complement(join(complement(complement(X_387)),X_409)))) ),[1,1,0,0],$fot(X_387)]]) ).
cnf(refute_1_1041,plain,
( complement(X_387) != join(meet(X_409,complement(X_387)),complement(join(complement(complement(X_387)),X_409)))
| complement(X_387) = join(meet(X_409,complement(X_387)),complement(join(X_387,X_409))) ),
inference(resolve,[$cnf( $equal(complement(complement(X_387)),X_387) )],[refute_1_690,refute_1_1040]) ).
cnf(refute_1_1042,plain,
complement(X_387) = join(meet(X_409,complement(X_387)),complement(join(X_387,X_409))),
inference(resolve,[$cnf( $equal(complement(X_387),join(meet(X_409,complement(X_387)),complement(join(complement(complement(X_387)),X_409)))) )],[refute_1_1039,refute_1_1041]) ).
cnf(refute_1_1043,plain,
join(meet(X_409,complement(X_387)),complement(join(X_387,X_409))) = join(complement(join(X_387,X_409)),meet(X_409,complement(X_387))),
inference(subst,[],[refute_1_7:[bind(X0,$fot(complement(join(X_387,X_409)))),bind(X1,$fot(meet(X_409,complement(X_387))))]]) ).
cnf(refute_1_1044,plain,
( complement(X_387) != join(meet(X_409,complement(X_387)),complement(join(X_387,X_409)))
| join(meet(X_409,complement(X_387)),complement(join(X_387,X_409))) != join(complement(join(X_387,X_409)),meet(X_409,complement(X_387)))
| complement(X_387) = join(complement(join(X_387,X_409)),meet(X_409,complement(X_387))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(X_387),join(complement(join(X_387,X_409)),meet(X_409,complement(X_387)))) ),[0],$fot(join(meet(X_409,complement(X_387)),complement(join(X_387,X_409))))]]) ).
cnf(refute_1_1045,plain,
( complement(X_387) != join(meet(X_409,complement(X_387)),complement(join(X_387,X_409)))
| complement(X_387) = join(complement(join(X_387,X_409)),meet(X_409,complement(X_387))) ),
inference(resolve,[$cnf( $equal(join(meet(X_409,complement(X_387)),complement(join(X_387,X_409))),join(complement(join(X_387,X_409)),meet(X_409,complement(X_387)))) )],[refute_1_1043,refute_1_1044]) ).
cnf(refute_1_1046,plain,
complement(X_387) = join(complement(join(X_387,X_409)),meet(X_409,complement(X_387))),
inference(resolve,[$cnf( $equal(complement(X_387),join(meet(X_409,complement(X_387)),complement(join(X_387,X_409)))) )],[refute_1_1042,refute_1_1045]) ).
cnf(refute_1_1047,plain,
complement(complement(composition(skolemFOFtoCNF_X0_1,top))) = join(complement(join(complement(composition(skolemFOFtoCNF_X0_1,top)),composition(complement(skolemFOFtoCNF_X0_1),top))),meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(complement(composition(skolemFOFtoCNF_X0_1,top))))),
inference(subst,[],[refute_1_1046:[bind(X_387,$fot(complement(composition(skolemFOFtoCNF_X0_1,top)))),bind(X_409,$fot(composition(complement(skolemFOFtoCNF_X0_1),top)))]]) ).
cnf(refute_1_1048,plain,
join(complement(composition(skolemFOFtoCNF_X0_1,top)),join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),X_360)) = join(join(complement(composition(skolemFOFtoCNF_X0_1,top)),composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top)),X_360),
inference(subst,[],[refute_1_228:[bind(X0,$fot(complement(composition(skolemFOFtoCNF_X0_1,top)))),bind(X1,$fot(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top))),bind(X2,$fot(X_360))]]) ).
cnf(refute_1_1049,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(complement(composition(skolemFOFtoCNF_X0_1,top)),join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),X_360)) != join(join(complement(composition(skolemFOFtoCNF_X0_1,top)),composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top)),X_360)
| join(complement(composition(skolemFOFtoCNF_X0_1,top)),join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),X_360)) = join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),X_360) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(composition(skolemFOFtoCNF_X0_1,top)),join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),X_360)),join(join(complement(composition(skolemFOFtoCNF_X0_1,top)),composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top)),X_360)) ),[1,0],$fot(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top))]]) ).
cnf(refute_1_1050,plain,
( join(complement(composition(skolemFOFtoCNF_X0_1,top)),join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),X_360)) != join(join(complement(composition(skolemFOFtoCNF_X0_1,top)),composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top)),X_360)
| join(complement(composition(skolemFOFtoCNF_X0_1,top)),join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),X_360)) = join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),X_360) ),
inference(resolve,[$cnf( $equal(join(complement(composition(skolemFOFtoCNF_X0_1,top)),composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top)),composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top)) )],[refute_1_1,refute_1_1049]) ).
cnf(refute_1_1051,plain,
join(complement(composition(skolemFOFtoCNF_X0_1,top)),join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),X_360)) = join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),X_360),
inference(resolve,[$cnf( $equal(join(complement(composition(skolemFOFtoCNF_X0_1,top)),join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),X_360)),join(join(complement(composition(skolemFOFtoCNF_X0_1,top)),composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top)),X_360)) )],[refute_1_1048,refute_1_1050]) ).
cnf(refute_1_1052,plain,
join(complement(composition(skolemFOFtoCNF_X0_1,top)),join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),composition(X_469,top))) = join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),composition(X_469,top)),
inference(subst,[],[refute_1_1051:[bind(X_360,$fot(composition(X_469,top)))]]) ).
cnf(refute_1_1053,plain,
composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(canonicalize,[],[normalize_1_29]) ).
cnf(refute_1_1054,plain,
composition(join(complement(composition(skolemFOFtoCNF_X0_1,top)),X_469),top) = join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),composition(X_469,top)),
inference(subst,[],[refute_1_1053:[bind(X0,$fot(complement(composition(skolemFOFtoCNF_X0_1,top)))),bind(X1,$fot(X_469)),bind(X2,$fot(top))]]) ).
cnf(refute_1_1055,plain,
( composition(join(complement(composition(skolemFOFtoCNF_X0_1,top)),X_469),top) != join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),composition(X_469,top))
| join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),composition(X_469,top)) = composition(join(complement(composition(skolemFOFtoCNF_X0_1,top)),X_469),top) ),
inference(subst,[],[refute_1_5:[bind(X,$fot(composition(join(complement(composition(skolemFOFtoCNF_X0_1,top)),X_469),top))),bind(Y,$fot(join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),composition(X_469,top))))]]) ).
cnf(refute_1_1056,plain,
join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),composition(X_469,top)) = composition(join(complement(composition(skolemFOFtoCNF_X0_1,top)),X_469),top),
inference(resolve,[$cnf( $equal(composition(join(complement(composition(skolemFOFtoCNF_X0_1,top)),X_469),top),join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),composition(X_469,top))) )],[refute_1_1054,refute_1_1055]) ).
cnf(refute_1_1057,plain,
( join(complement(composition(skolemFOFtoCNF_X0_1,top)),join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),composition(X_469,top))) != join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),composition(X_469,top))
| join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),composition(X_469,top)) != composition(join(complement(composition(skolemFOFtoCNF_X0_1,top)),X_469),top)
| join(complement(composition(skolemFOFtoCNF_X0_1,top)),composition(join(complement(composition(skolemFOFtoCNF_X0_1,top)),X_469),top)) = join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),composition(X_469,top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(composition(skolemFOFtoCNF_X0_1,top)),join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),composition(X_469,top))),join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),composition(X_469,top))) ),[0,1],$fot(composition(join(complement(composition(skolemFOFtoCNF_X0_1,top)),X_469),top))]]) ).
cnf(refute_1_1058,plain,
( join(complement(composition(skolemFOFtoCNF_X0_1,top)),join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),composition(X_469,top))) != join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),composition(X_469,top))
| join(complement(composition(skolemFOFtoCNF_X0_1,top)),composition(join(complement(composition(skolemFOFtoCNF_X0_1,top)),X_469),top)) = join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),composition(X_469,top)) ),
inference(resolve,[$cnf( $equal(join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),composition(X_469,top)),composition(join(complement(composition(skolemFOFtoCNF_X0_1,top)),X_469),top)) )],[refute_1_1056,refute_1_1057]) ).
cnf(refute_1_1059,plain,
join(complement(composition(skolemFOFtoCNF_X0_1,top)),composition(join(complement(composition(skolemFOFtoCNF_X0_1,top)),X_469),top)) = join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),composition(X_469,top)),
inference(resolve,[$cnf( $equal(join(complement(composition(skolemFOFtoCNF_X0_1,top)),join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),composition(X_469,top))),join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),composition(X_469,top))) )],[refute_1_1052,refute_1_1058]) ).
cnf(refute_1_1060,plain,
( join(complement(composition(skolemFOFtoCNF_X0_1,top)),composition(join(complement(composition(skolemFOFtoCNF_X0_1,top)),X_469),top)) != join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),composition(X_469,top))
| join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),composition(X_469,top)) != composition(join(complement(composition(skolemFOFtoCNF_X0_1,top)),X_469),top)
| join(complement(composition(skolemFOFtoCNF_X0_1,top)),composition(join(complement(composition(skolemFOFtoCNF_X0_1,top)),X_469),top)) = composition(join(complement(composition(skolemFOFtoCNF_X0_1,top)),X_469),top) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(complement(composition(skolemFOFtoCNF_X0_1,top)),composition(join(complement(composition(skolemFOFtoCNF_X0_1,top)),X_469),top)),composition(join(complement(composition(skolemFOFtoCNF_X0_1,top)),X_469),top)) ),[0],$fot(join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),composition(X_469,top)))]]) ).
cnf(refute_1_1061,plain,
( join(complement(composition(skolemFOFtoCNF_X0_1,top)),composition(join(complement(composition(skolemFOFtoCNF_X0_1,top)),X_469),top)) != join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),composition(X_469,top))
| join(complement(composition(skolemFOFtoCNF_X0_1,top)),composition(join(complement(composition(skolemFOFtoCNF_X0_1,top)),X_469),top)) = composition(join(complement(composition(skolemFOFtoCNF_X0_1,top)),X_469),top) ),
inference(resolve,[$cnf( $equal(join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),composition(X_469,top)),composition(join(complement(composition(skolemFOFtoCNF_X0_1,top)),X_469),top)) )],[refute_1_1056,refute_1_1060]) ).
cnf(refute_1_1062,plain,
join(complement(composition(skolemFOFtoCNF_X0_1,top)),composition(join(complement(composition(skolemFOFtoCNF_X0_1,top)),X_469),top)) = composition(join(complement(composition(skolemFOFtoCNF_X0_1,top)),X_469),top),
inference(resolve,[$cnf( $equal(join(complement(composition(skolemFOFtoCNF_X0_1,top)),composition(join(complement(composition(skolemFOFtoCNF_X0_1,top)),X_469),top)),join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),composition(X_469,top))) )],[refute_1_1059,refute_1_1061]) ).
cnf(refute_1_1063,plain,
join(complement(composition(skolemFOFtoCNF_X0_1,top)),composition(join(complement(composition(skolemFOFtoCNF_X0_1,top)),converse(meet(converse(complement(skolemFOFtoCNF_X0_1)),complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top))))))),top)) = composition(join(complement(composition(skolemFOFtoCNF_X0_1,top)),converse(meet(converse(complement(skolemFOFtoCNF_X0_1)),complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top))))))),top),
inference(subst,[],[refute_1_1062:[bind(X_469,$fot(converse(meet(converse(complement(skolemFOFtoCNF_X0_1)),complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top))))))))]]) ).
cnf(refute_1_1064,plain,
converse(join(meet(converse(complement(skolemFOFtoCNF_X0_1)),complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top))))),converse(complement(composition(skolemFOFtoCNF_X0_1,top))))) = converse(join(converse(complement(composition(skolemFOFtoCNF_X0_1,top))),meet(converse(complement(skolemFOFtoCNF_X0_1)),complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top))))))),
inference(subst,[],[refute_1_390:[bind(X0,$fot(meet(converse(complement(skolemFOFtoCNF_X0_1)),complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top))))))),bind(X1,$fot(converse(complement(composition(skolemFOFtoCNF_X0_1,top)))))]]) ).
cnf(refute_1_1065,plain,
X_387 = join(meet(X_387,complement(X1)),complement(join(complement(X_387),complement(X1)))),
inference(subst,[],[refute_1_98:[bind(X0,$fot(X_387)),bind(X1,$fot(complement(X1)))]]) ).
cnf(refute_1_1066,plain,
meet(X_387,X1) = complement(join(complement(X_387),complement(X1))),
inference(subst,[],[refute_1_47:[bind(X0,$fot(X_387))]]) ).
cnf(refute_1_1067,plain,
( meet(X_387,X1) != complement(join(complement(X_387),complement(X1)))
| complement(join(complement(X_387),complement(X1))) = meet(X_387,X1) ),
inference(subst,[],[refute_1_5:[bind(X,$fot(meet(X_387,X1))),bind(Y,$fot(complement(join(complement(X_387),complement(X1)))))]]) ).
cnf(refute_1_1068,plain,
complement(join(complement(X_387),complement(X1))) = meet(X_387,X1),
inference(resolve,[$cnf( $equal(meet(X_387,X1),complement(join(complement(X_387),complement(X1)))) )],[refute_1_1066,refute_1_1067]) ).
cnf(refute_1_1069,plain,
( X_387 != join(meet(X_387,complement(X1)),complement(join(complement(X_387),complement(X1))))
| complement(join(complement(X_387),complement(X1))) != meet(X_387,X1)
| X_387 = join(meet(X_387,complement(X1)),meet(X_387,X1)) ),
introduced(tautology,[equality,[$cnf( $equal(X_387,join(meet(X_387,complement(X1)),complement(join(complement(X_387),complement(X1))))) ),[1,1],$fot(meet(X_387,X1))]]) ).
cnf(refute_1_1070,plain,
( X_387 != join(meet(X_387,complement(X1)),complement(join(complement(X_387),complement(X1))))
| X_387 = join(meet(X_387,complement(X1)),meet(X_387,X1)) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_387),complement(X1))),meet(X_387,X1)) )],[refute_1_1068,refute_1_1069]) ).
cnf(refute_1_1071,plain,
X_387 = join(meet(X_387,complement(X1)),meet(X_387,X1)),
inference(resolve,[$cnf( $equal(X_387,join(meet(X_387,complement(X1)),complement(join(complement(X_387),complement(X1))))) )],[refute_1_1065,refute_1_1070]) ).
cnf(refute_1_1072,plain,
join(meet(X_387,complement(X1)),meet(X_387,X1)) = join(meet(X_387,X1),meet(X_387,complement(X1))),
inference(subst,[],[refute_1_7:[bind(X0,$fot(meet(X_387,X1))),bind(X1,$fot(meet(X_387,complement(X1))))]]) ).
cnf(refute_1_1073,plain,
( X_387 != join(meet(X_387,complement(X1)),meet(X_387,X1))
| join(meet(X_387,complement(X1)),meet(X_387,X1)) != join(meet(X_387,X1),meet(X_387,complement(X1)))
| X_387 = join(meet(X_387,X1),meet(X_387,complement(X1))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_387,join(meet(X_387,X1),meet(X_387,complement(X1)))) ),[0],$fot(join(meet(X_387,complement(X1)),meet(X_387,X1)))]]) ).
cnf(refute_1_1074,plain,
( X_387 != join(meet(X_387,complement(X1)),meet(X_387,X1))
| X_387 = join(meet(X_387,X1),meet(X_387,complement(X1))) ),
inference(resolve,[$cnf( $equal(join(meet(X_387,complement(X1)),meet(X_387,X1)),join(meet(X_387,X1),meet(X_387,complement(X1)))) )],[refute_1_1072,refute_1_1073]) ).
cnf(refute_1_1075,plain,
X_387 = join(meet(X_387,X1),meet(X_387,complement(X1))),
inference(resolve,[$cnf( $equal(X_387,join(meet(X_387,complement(X1)),meet(X_387,X1))) )],[refute_1_1071,refute_1_1074]) ).
cnf(refute_1_1076,plain,
X_403 = join(meet(X_403,X_402),meet(X_403,complement(X_402))),
inference(subst,[],[refute_1_1075:[bind(X1,$fot(X_402)),bind(X_387,$fot(X_403))]]) ).
cnf(refute_1_1077,plain,
meet(complement(X_402),X_403) = meet(X_403,complement(X_402)),
inference(subst,[],[refute_1_827:[bind(X_348,$fot(complement(X_402))),bind(X_349,$fot(X_403))]]) ).
cnf(refute_1_1078,plain,
( meet(complement(X_402),X_403) != meet(X_403,complement(X_402))
| meet(X_403,complement(X_402)) = meet(complement(X_402),X_403) ),
inference(subst,[],[refute_1_5:[bind(X,$fot(meet(complement(X_402),X_403))),bind(Y,$fot(meet(X_403,complement(X_402))))]]) ).
cnf(refute_1_1079,plain,
meet(X_403,complement(X_402)) = meet(complement(X_402),X_403),
inference(resolve,[$cnf( $equal(meet(complement(X_402),X_403),meet(X_403,complement(X_402))) )],[refute_1_1077,refute_1_1078]) ).
cnf(refute_1_1080,plain,
( X_403 != join(meet(X_403,X_402),meet(X_403,complement(X_402)))
| meet(X_403,complement(X_402)) != meet(complement(X_402),X_403)
| X_403 = join(meet(X_403,X_402),meet(complement(X_402),X_403)) ),
introduced(tautology,[equality,[$cnf( $equal(X_403,join(meet(X_403,X_402),meet(X_403,complement(X_402)))) ),[1,1],$fot(meet(complement(X_402),X_403))]]) ).
cnf(refute_1_1081,plain,
( X_403 != join(meet(X_403,X_402),meet(X_403,complement(X_402)))
| X_403 = join(meet(X_403,X_402),meet(complement(X_402),X_403)) ),
inference(resolve,[$cnf( $equal(meet(X_403,complement(X_402)),meet(complement(X_402),X_403)) )],[refute_1_1079,refute_1_1080]) ).
cnf(refute_1_1082,plain,
X_403 = join(meet(X_403,X_402),meet(complement(X_402),X_403)),
inference(resolve,[$cnf( $equal(X_403,join(meet(X_403,X_402),meet(X_403,complement(X_402)))) )],[refute_1_1076,refute_1_1081]) ).
cnf(refute_1_1083,plain,
converse(complement(skolemFOFtoCNF_X0_1)) = join(meet(converse(complement(skolemFOFtoCNF_X0_1)),converse(complement(composition(skolemFOFtoCNF_X0_1,top)))),meet(complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top)))),converse(complement(skolemFOFtoCNF_X0_1)))),
inference(subst,[],[refute_1_1082:[bind(X_402,$fot(converse(complement(composition(skolemFOFtoCNF_X0_1,top))))),bind(X_403,$fot(converse(complement(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_1084,plain,
converse(complement(composition(skolemFOFtoCNF_X0_1,top))) = meet(converse(complement(composition(skolemFOFtoCNF_X0_1,top))),converse(join(complement(composition(skolemFOFtoCNF_X0_1,top)),meet(complement(skolemFOFtoCNF_X0_1),complement(join(skolemFOFtoCNF_X0_1,complement(composition(skolemFOFtoCNF_X0_1,top)))))))),
inference(subst,[],[refute_1_1015:[bind(X_554,$fot(meet(complement(skolemFOFtoCNF_X0_1),complement(join(skolemFOFtoCNF_X0_1,complement(composition(skolemFOFtoCNF_X0_1,top))))))),bind(X_555,$fot(complement(composition(skolemFOFtoCNF_X0_1,top))))]]) ).
cnf(refute_1_1085,plain,
complement(skolemFOFtoCNF_X0_1) = join(complement(join(skolemFOFtoCNF_X0_1,complement(join(skolemFOFtoCNF_X0_1,complement(composition(skolemFOFtoCNF_X0_1,top)))))),meet(complement(join(skolemFOFtoCNF_X0_1,complement(composition(skolemFOFtoCNF_X0_1,top)))),complement(skolemFOFtoCNF_X0_1))),
inference(subst,[],[refute_1_1046:[bind(X_387,$fot(skolemFOFtoCNF_X0_1)),bind(X_409,$fot(complement(join(skolemFOFtoCNF_X0_1,complement(composition(skolemFOFtoCNF_X0_1,top))))))]]) ).
cnf(refute_1_1086,plain,
X_406 = join(meet(X_406,X_407),complement(join(X_407,complement(X_406)))),
inference(subst,[],[refute_1_816:[bind(X_387,$fot(X_406)),bind(X_388,$fot(X_407))]]) ).
cnf(refute_1_1087,plain,
meet(X_407,X_406) = meet(X_406,X_407),
inference(subst,[],[refute_1_827:[bind(X_348,$fot(X_407)),bind(X_349,$fot(X_406))]]) ).
cnf(refute_1_1088,plain,
( meet(X_407,X_406) != meet(X_406,X_407)
| meet(X_406,X_407) = meet(X_407,X_406) ),
inference(subst,[],[refute_1_5:[bind(X,$fot(meet(X_407,X_406))),bind(Y,$fot(meet(X_406,X_407)))]]) ).
cnf(refute_1_1089,plain,
meet(X_406,X_407) = meet(X_407,X_406),
inference(resolve,[$cnf( $equal(meet(X_407,X_406),meet(X_406,X_407)) )],[refute_1_1087,refute_1_1088]) ).
cnf(refute_1_1090,plain,
( X_406 != join(meet(X_406,X_407),complement(join(X_407,complement(X_406))))
| meet(X_406,X_407) != meet(X_407,X_406)
| X_406 = join(meet(X_407,X_406),complement(join(X_407,complement(X_406)))) ),
introduced(tautology,[equality,[$cnf( $equal(X_406,join(meet(X_406,X_407),complement(join(X_407,complement(X_406))))) ),[1,0],$fot(meet(X_407,X_406))]]) ).
cnf(refute_1_1091,plain,
( X_406 != join(meet(X_406,X_407),complement(join(X_407,complement(X_406))))
| X_406 = join(meet(X_407,X_406),complement(join(X_407,complement(X_406)))) ),
inference(resolve,[$cnf( $equal(meet(X_406,X_407),meet(X_407,X_406)) )],[refute_1_1089,refute_1_1090]) ).
cnf(refute_1_1092,plain,
X_406 = join(meet(X_407,X_406),complement(join(X_407,complement(X_406)))),
inference(resolve,[$cnf( $equal(X_406,join(meet(X_406,X_407),complement(join(X_407,complement(X_406))))) )],[refute_1_1086,refute_1_1091]) ).
cnf(refute_1_1093,plain,
composition(skolemFOFtoCNF_X0_1,top) = join(meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,top)),complement(join(skolemFOFtoCNF_X0_1,complement(composition(skolemFOFtoCNF_X0_1,top))))),
inference(subst,[],[refute_1_1092:[bind(X_406,$fot(composition(skolemFOFtoCNF_X0_1,top))),bind(X_407,$fot(skolemFOFtoCNF_X0_1))]]) ).
cnf(refute_1_1094,plain,
meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,top)) = complement(complement(meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,top)))),
inference(subst,[],[refute_1_688:[bind(X_387,$fot(meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,top))))]]) ).
cnf(refute_1_1095,plain,
join(complement(composition(skolemFOFtoCNF_X0_1,top)),join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),X_466)) = join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),X_466),
inference(subst,[],[refute_1_1051:[bind(X_360,$fot(X_466))]]) ).
cnf(refute_1_1096,plain,
join(X_466,composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top)) = join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),X_466),
inference(subst,[],[refute_1_2:[bind(X0,$fot(X_466)),bind(X1,$fot(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top)))]]) ).
cnf(refute_1_1097,plain,
( join(X_466,composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top)) != join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),X_466)
| join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),X_466) = join(X_466,composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top)) ),
inference(subst,[],[refute_1_5:[bind(X,$fot(join(X_466,composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top)))),bind(Y,$fot(join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),X_466)))]]) ).
cnf(refute_1_1098,plain,
join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),X_466) = join(X_466,composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top)),
inference(resolve,[$cnf( $equal(join(X_466,composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top)),join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),X_466)) )],[refute_1_1096,refute_1_1097]) ).
cnf(refute_1_1099,plain,
( join(complement(composition(skolemFOFtoCNF_X0_1,top)),join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),X_466)) != join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),X_466)
| join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),X_466) != join(X_466,composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top))
| join(complement(composition(skolemFOFtoCNF_X0_1,top)),join(X_466,composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top))) = join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),X_466) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(composition(skolemFOFtoCNF_X0_1,top)),join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),X_466)),join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),X_466)) ),[0,1],$fot(join(X_466,composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top)))]]) ).
cnf(refute_1_1100,plain,
( join(complement(composition(skolemFOFtoCNF_X0_1,top)),join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),X_466)) != join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),X_466)
| join(complement(composition(skolemFOFtoCNF_X0_1,top)),join(X_466,composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top))) = join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),X_466) ),
inference(resolve,[$cnf( $equal(join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),X_466),join(X_466,composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top))) )],[refute_1_1098,refute_1_1099]) ).
cnf(refute_1_1101,plain,
join(complement(composition(skolemFOFtoCNF_X0_1,top)),join(X_466,composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top))) = join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),X_466),
inference(resolve,[$cnf( $equal(join(complement(composition(skolemFOFtoCNF_X0_1,top)),join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),X_466)),join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),X_466)) )],[refute_1_1095,refute_1_1100]) ).
cnf(refute_1_1102,plain,
join(complement(composition(skolemFOFtoCNF_X0_1,top)),join(complement(skolemFOFtoCNF_X0_1),composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top))) = join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),complement(skolemFOFtoCNF_X0_1)),
inference(subst,[],[refute_1_1101:[bind(X_466,$fot(complement(skolemFOFtoCNF_X0_1)))]]) ).
cnf(refute_1_1103,plain,
join(complement(skolemFOFtoCNF_X0_1),composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top)) = complement(skolemFOFtoCNF_X0_1),
inference(subst,[],[refute_1_801:[bind(X_416,$fot(skolemFOFtoCNF_X0_1))]]) ).
cnf(refute_1_1104,plain,
( join(complement(composition(skolemFOFtoCNF_X0_1,top)),join(complement(skolemFOFtoCNF_X0_1),composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top))) != join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),complement(skolemFOFtoCNF_X0_1))
| join(complement(skolemFOFtoCNF_X0_1),composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top)) != complement(skolemFOFtoCNF_X0_1)
| join(complement(composition(skolemFOFtoCNF_X0_1,top)),complement(skolemFOFtoCNF_X0_1)) = join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),complement(skolemFOFtoCNF_X0_1)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(composition(skolemFOFtoCNF_X0_1,top)),join(complement(skolemFOFtoCNF_X0_1),composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top))),join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),complement(skolemFOFtoCNF_X0_1))) ),[0,1],$fot(complement(skolemFOFtoCNF_X0_1))]]) ).
cnf(refute_1_1105,plain,
( join(complement(composition(skolemFOFtoCNF_X0_1,top)),join(complement(skolemFOFtoCNF_X0_1),composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top))) != join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),complement(skolemFOFtoCNF_X0_1))
| join(complement(composition(skolemFOFtoCNF_X0_1,top)),complement(skolemFOFtoCNF_X0_1)) = join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),complement(skolemFOFtoCNF_X0_1)) ),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0_1),composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top)),complement(skolemFOFtoCNF_X0_1)) )],[refute_1_1103,refute_1_1104]) ).
cnf(refute_1_1106,plain,
join(complement(composition(skolemFOFtoCNF_X0_1,top)),complement(skolemFOFtoCNF_X0_1)) = join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),complement(skolemFOFtoCNF_X0_1)),
inference(resolve,[$cnf( $equal(join(complement(composition(skolemFOFtoCNF_X0_1,top)),join(complement(skolemFOFtoCNF_X0_1),composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top))),join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),complement(skolemFOFtoCNF_X0_1))) )],[refute_1_1102,refute_1_1105]) ).
cnf(refute_1_1107,plain,
meet(composition(skolemFOFtoCNF_X0_1,top),skolemFOFtoCNF_X0_1) = meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,top)),
inference(subst,[],[refute_1_850:[bind(X_348,$fot(skolemFOFtoCNF_X0_1)),bind(X_349,$fot(composition(skolemFOFtoCNF_X0_1,top)))]]) ).
cnf(refute_1_1108,plain,
complement(meet(composition(skolemFOFtoCNF_X0_1,top),skolemFOFtoCNF_X0_1)) = complement(meet(composition(skolemFOFtoCNF_X0_1,top),skolemFOFtoCNF_X0_1)),
introduced(tautology,[refl,[$fot(complement(meet(composition(skolemFOFtoCNF_X0_1,top),skolemFOFtoCNF_X0_1)))]]) ).
cnf(refute_1_1109,plain,
( complement(meet(composition(skolemFOFtoCNF_X0_1,top),skolemFOFtoCNF_X0_1)) != complement(meet(composition(skolemFOFtoCNF_X0_1,top),skolemFOFtoCNF_X0_1))
| meet(composition(skolemFOFtoCNF_X0_1,top),skolemFOFtoCNF_X0_1) != meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,top))
| complement(meet(composition(skolemFOFtoCNF_X0_1,top),skolemFOFtoCNF_X0_1)) = complement(meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,top))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(composition(skolemFOFtoCNF_X0_1,top),skolemFOFtoCNF_X0_1)),complement(meet(composition(skolemFOFtoCNF_X0_1,top),skolemFOFtoCNF_X0_1))) ),[1,0],$fot(meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,top)))]]) ).
cnf(refute_1_1110,plain,
( meet(composition(skolemFOFtoCNF_X0_1,top),skolemFOFtoCNF_X0_1) != meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,top))
| complement(meet(composition(skolemFOFtoCNF_X0_1,top),skolemFOFtoCNF_X0_1)) = complement(meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,top))) ),
inference(resolve,[$cnf( $equal(complement(meet(composition(skolemFOFtoCNF_X0_1,top),skolemFOFtoCNF_X0_1)),complement(meet(composition(skolemFOFtoCNF_X0_1,top),skolemFOFtoCNF_X0_1))) )],[refute_1_1108,refute_1_1109]) ).
cnf(refute_1_1111,plain,
complement(meet(composition(skolemFOFtoCNF_X0_1,top),skolemFOFtoCNF_X0_1)) = complement(meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,top))),
inference(resolve,[$cnf( $equal(meet(composition(skolemFOFtoCNF_X0_1,top),skolemFOFtoCNF_X0_1),meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,top))) )],[refute_1_1107,refute_1_1110]) ).
cnf(refute_1_1112,plain,
join(complement(X0),complement(X1)) = join(zero,complement(complement(join(complement(X0),complement(X1))))),
inference(subst,[],[refute_1_199:[bind(X_387,$fot(join(complement(X0),complement(X1))))]]) ).
cnf(refute_1_1113,plain,
( complement(join(complement(X0),complement(X1))) != meet(X0,X1)
| join(complement(X0),complement(X1)) != join(zero,complement(complement(join(complement(X0),complement(X1)))))
| join(complement(X0),complement(X1)) = join(zero,complement(meet(X0,X1))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X0),complement(X1)),join(zero,complement(complement(join(complement(X0),complement(X1)))))) ),[1,1,0],$fot(meet(X0,X1))]]) ).
cnf(refute_1_1114,plain,
( join(complement(X0),complement(X1)) != join(zero,complement(complement(join(complement(X0),complement(X1)))))
| join(complement(X0),complement(X1)) = join(zero,complement(meet(X0,X1))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X0),complement(X1))),meet(X0,X1)) )],[refute_1_88,refute_1_1113]) ).
cnf(refute_1_1115,plain,
join(complement(X0),complement(X1)) = join(zero,complement(meet(X0,X1))),
inference(resolve,[$cnf( $equal(join(complement(X0),complement(X1)),join(zero,complement(complement(join(complement(X0),complement(X1)))))) )],[refute_1_1112,refute_1_1114]) ).
cnf(refute_1_1116,plain,
join(zero,complement(meet(X0,X1))) = complement(meet(X0,X1)),
inference(subst,[],[refute_1_684:[bind(X_391,$fot(meet(X0,X1)))]]) ).
cnf(refute_1_1117,plain,
( join(complement(X0),complement(X1)) != join(zero,complement(meet(X0,X1)))
| join(zero,complement(meet(X0,X1))) != complement(meet(X0,X1))
| join(complement(X0),complement(X1)) = complement(meet(X0,X1)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(complement(X0),complement(X1)),complement(meet(X0,X1))) ),[0],$fot(join(zero,complement(meet(X0,X1))))]]) ).
cnf(refute_1_1118,plain,
( join(complement(X0),complement(X1)) != join(zero,complement(meet(X0,X1)))
| join(complement(X0),complement(X1)) = complement(meet(X0,X1)) ),
inference(resolve,[$cnf( $equal(join(zero,complement(meet(X0,X1))),complement(meet(X0,X1))) )],[refute_1_1116,refute_1_1117]) ).
cnf(refute_1_1119,plain,
join(complement(X0),complement(X1)) = complement(meet(X0,X1)),
inference(resolve,[$cnf( $equal(join(complement(X0),complement(X1)),join(zero,complement(meet(X0,X1)))) )],[refute_1_1115,refute_1_1118]) ).
cnf(refute_1_1120,plain,
join(complement(composition(skolemFOFtoCNF_X0_1,top)),complement(skolemFOFtoCNF_X0_1)) = complement(meet(composition(skolemFOFtoCNF_X0_1,top),skolemFOFtoCNF_X0_1)),
inference(subst,[],[refute_1_1119:[bind(X0,$fot(composition(skolemFOFtoCNF_X0_1,top))),bind(X1,$fot(skolemFOFtoCNF_X0_1))]]) ).
cnf(refute_1_1121,plain,
( complement(meet(composition(skolemFOFtoCNF_X0_1,top),skolemFOFtoCNF_X0_1)) != complement(meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,top)))
| join(complement(composition(skolemFOFtoCNF_X0_1,top)),complement(skolemFOFtoCNF_X0_1)) != complement(meet(composition(skolemFOFtoCNF_X0_1,top),skolemFOFtoCNF_X0_1))
| join(complement(composition(skolemFOFtoCNF_X0_1,top)),complement(skolemFOFtoCNF_X0_1)) = complement(meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,top))) ),
inference(subst,[],[refute_1_10:[bind(X,$fot(join(complement(composition(skolemFOFtoCNF_X0_1,top)),complement(skolemFOFtoCNF_X0_1)))),bind(Y,$fot(complement(meet(composition(skolemFOFtoCNF_X0_1,top),skolemFOFtoCNF_X0_1)))),bind(Z,$fot(complement(meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,top)))))]]) ).
cnf(refute_1_1122,plain,
( complement(meet(composition(skolemFOFtoCNF_X0_1,top),skolemFOFtoCNF_X0_1)) != complement(meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,top)))
| join(complement(composition(skolemFOFtoCNF_X0_1,top)),complement(skolemFOFtoCNF_X0_1)) = complement(meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,top))) ),
inference(resolve,[$cnf( $equal(join(complement(composition(skolemFOFtoCNF_X0_1,top)),complement(skolemFOFtoCNF_X0_1)),complement(meet(composition(skolemFOFtoCNF_X0_1,top),skolemFOFtoCNF_X0_1))) )],[refute_1_1120,refute_1_1121]) ).
cnf(refute_1_1123,plain,
join(complement(composition(skolemFOFtoCNF_X0_1,top)),complement(skolemFOFtoCNF_X0_1)) = complement(meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,top))),
inference(resolve,[$cnf( $equal(complement(meet(composition(skolemFOFtoCNF_X0_1,top),skolemFOFtoCNF_X0_1)),complement(meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,top)))) )],[refute_1_1111,refute_1_1122]) ).
cnf(refute_1_1124,plain,
( join(complement(composition(skolemFOFtoCNF_X0_1,top)),complement(skolemFOFtoCNF_X0_1)) != complement(meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,top)))
| join(complement(composition(skolemFOFtoCNF_X0_1,top)),complement(skolemFOFtoCNF_X0_1)) != join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),complement(skolemFOFtoCNF_X0_1))
| complement(meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,top))) = join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),complement(skolemFOFtoCNF_X0_1)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(composition(skolemFOFtoCNF_X0_1,top)),complement(skolemFOFtoCNF_X0_1)),join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),complement(skolemFOFtoCNF_X0_1))) ),[0],$fot(complement(meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,top))))]]) ).
cnf(refute_1_1125,plain,
( join(complement(composition(skolemFOFtoCNF_X0_1,top)),complement(skolemFOFtoCNF_X0_1)) != join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),complement(skolemFOFtoCNF_X0_1))
| complement(meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,top))) = join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),complement(skolemFOFtoCNF_X0_1)) ),
inference(resolve,[$cnf( $equal(join(complement(composition(skolemFOFtoCNF_X0_1,top)),complement(skolemFOFtoCNF_X0_1)),complement(meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,top)))) )],[refute_1_1123,refute_1_1124]) ).
cnf(refute_1_1126,plain,
join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),complement(skolemFOFtoCNF_X0_1)) = join(complement(skolemFOFtoCNF_X0_1),composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top)),
inference(subst,[],[refute_1_7:[bind(X0,$fot(complement(skolemFOFtoCNF_X0_1))),bind(X1,$fot(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top)))]]) ).
cnf(refute_1_1127,plain,
( join(complement(skolemFOFtoCNF_X0_1),composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top)) != complement(skolemFOFtoCNF_X0_1)
| join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),complement(skolemFOFtoCNF_X0_1)) != join(complement(skolemFOFtoCNF_X0_1),composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top))
| join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),complement(skolemFOFtoCNF_X0_1)) = complement(skolemFOFtoCNF_X0_1) ),
inference(subst,[],[refute_1_10:[bind(X,$fot(join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),complement(skolemFOFtoCNF_X0_1)))),bind(Y,$fot(join(complement(skolemFOFtoCNF_X0_1),composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top)))),bind(Z,$fot(complement(skolemFOFtoCNF_X0_1)))]]) ).
cnf(refute_1_1128,plain,
( join(complement(skolemFOFtoCNF_X0_1),composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top)) != complement(skolemFOFtoCNF_X0_1)
| join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),complement(skolemFOFtoCNF_X0_1)) = complement(skolemFOFtoCNF_X0_1) ),
inference(resolve,[$cnf( $equal(join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),complement(skolemFOFtoCNF_X0_1)),join(complement(skolemFOFtoCNF_X0_1),composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top))) )],[refute_1_1126,refute_1_1127]) ).
cnf(refute_1_1129,plain,
join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),complement(skolemFOFtoCNF_X0_1)) = complement(skolemFOFtoCNF_X0_1),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0_1),composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top)),complement(skolemFOFtoCNF_X0_1)) )],[refute_1_1103,refute_1_1128]) ).
cnf(refute_1_1130,plain,
( complement(meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,top))) != join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),complement(skolemFOFtoCNF_X0_1))
| join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),complement(skolemFOFtoCNF_X0_1)) != complement(skolemFOFtoCNF_X0_1)
| complement(meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,top))) = complement(skolemFOFtoCNF_X0_1) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,top))),complement(skolemFOFtoCNF_X0_1)) ),[0],$fot(join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),complement(skolemFOFtoCNF_X0_1)))]]) ).
cnf(refute_1_1131,plain,
( complement(meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,top))) != join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),complement(skolemFOFtoCNF_X0_1))
| complement(meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,top))) = complement(skolemFOFtoCNF_X0_1) ),
inference(resolve,[$cnf( $equal(join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),complement(skolemFOFtoCNF_X0_1)),complement(skolemFOFtoCNF_X0_1)) )],[refute_1_1129,refute_1_1130]) ).
cnf(refute_1_1132,plain,
( join(complement(composition(skolemFOFtoCNF_X0_1,top)),complement(skolemFOFtoCNF_X0_1)) != join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),complement(skolemFOFtoCNF_X0_1))
| complement(meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,top))) = complement(skolemFOFtoCNF_X0_1) ),
inference(resolve,[$cnf( $equal(complement(meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,top))),join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),complement(skolemFOFtoCNF_X0_1))) )],[refute_1_1125,refute_1_1131]) ).
cnf(refute_1_1133,plain,
complement(meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,top))) = complement(skolemFOFtoCNF_X0_1),
inference(resolve,[$cnf( $equal(join(complement(composition(skolemFOFtoCNF_X0_1,top)),complement(skolemFOFtoCNF_X0_1)),join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),complement(skolemFOFtoCNF_X0_1))) )],[refute_1_1106,refute_1_1132]) ).
cnf(refute_1_1134,plain,
( complement(meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,top))) != complement(skolemFOFtoCNF_X0_1)
| meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,top)) != complement(complement(meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,top))))
| meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,top)) = complement(complement(skolemFOFtoCNF_X0_1)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,top)),complement(complement(meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,top))))) ),[1,0],$fot(complement(skolemFOFtoCNF_X0_1))]]) ).
cnf(refute_1_1135,plain,
( meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,top)) != complement(complement(meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,top))))
| meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,top)) = complement(complement(skolemFOFtoCNF_X0_1)) ),
inference(resolve,[$cnf( $equal(complement(meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,top))),complement(skolemFOFtoCNF_X0_1)) )],[refute_1_1133,refute_1_1134]) ).
cnf(refute_1_1136,plain,
meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,top)) = complement(complement(skolemFOFtoCNF_X0_1)),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,top)),complement(complement(meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,top))))) )],[refute_1_1094,refute_1_1135]) ).
cnf(refute_1_1137,plain,
complement(complement(skolemFOFtoCNF_X0_1)) = skolemFOFtoCNF_X0_1,
inference(subst,[],[refute_1_690:[bind(X_387,$fot(skolemFOFtoCNF_X0_1))]]) ).
cnf(refute_1_1138,plain,
( complement(complement(skolemFOFtoCNF_X0_1)) != skolemFOFtoCNF_X0_1
| meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,top)) != complement(complement(skolemFOFtoCNF_X0_1))
| meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,top)) = skolemFOFtoCNF_X0_1 ),
introduced(tautology,[equality,[$cnf( $equal(meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,top)),complement(complement(skolemFOFtoCNF_X0_1))) ),[1],$fot(skolemFOFtoCNF_X0_1)]]) ).
cnf(refute_1_1139,plain,
( meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,top)) != complement(complement(skolemFOFtoCNF_X0_1))
| meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,top)) = skolemFOFtoCNF_X0_1 ),
inference(resolve,[$cnf( $equal(complement(complement(skolemFOFtoCNF_X0_1)),skolemFOFtoCNF_X0_1) )],[refute_1_1137,refute_1_1138]) ).
cnf(refute_1_1140,plain,
meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,top)) = skolemFOFtoCNF_X0_1,
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,top)),complement(complement(skolemFOFtoCNF_X0_1))) )],[refute_1_1136,refute_1_1139]) ).
cnf(refute_1_1141,plain,
( composition(skolemFOFtoCNF_X0_1,top) != join(meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,top)),complement(join(skolemFOFtoCNF_X0_1,complement(composition(skolemFOFtoCNF_X0_1,top)))))
| meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,top)) != skolemFOFtoCNF_X0_1
| composition(skolemFOFtoCNF_X0_1,top) = join(skolemFOFtoCNF_X0_1,complement(join(skolemFOFtoCNF_X0_1,complement(composition(skolemFOFtoCNF_X0_1,top))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(skolemFOFtoCNF_X0_1,top),join(meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,top)),complement(join(skolemFOFtoCNF_X0_1,complement(composition(skolemFOFtoCNF_X0_1,top)))))) ),[1,0],$fot(skolemFOFtoCNF_X0_1)]]) ).
cnf(refute_1_1142,plain,
( composition(skolemFOFtoCNF_X0_1,top) != join(meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,top)),complement(join(skolemFOFtoCNF_X0_1,complement(composition(skolemFOFtoCNF_X0_1,top)))))
| composition(skolemFOFtoCNF_X0_1,top) = join(skolemFOFtoCNF_X0_1,complement(join(skolemFOFtoCNF_X0_1,complement(composition(skolemFOFtoCNF_X0_1,top))))) ),
inference(resolve,[$cnf( $equal(meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,top)),skolemFOFtoCNF_X0_1) )],[refute_1_1140,refute_1_1141]) ).
cnf(refute_1_1143,plain,
composition(skolemFOFtoCNF_X0_1,top) = join(skolemFOFtoCNF_X0_1,complement(join(skolemFOFtoCNF_X0_1,complement(composition(skolemFOFtoCNF_X0_1,top))))),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0_1,top),join(meet(skolemFOFtoCNF_X0_1,composition(skolemFOFtoCNF_X0_1,top)),complement(join(skolemFOFtoCNF_X0_1,complement(composition(skolemFOFtoCNF_X0_1,top)))))) )],[refute_1_1093,refute_1_1142]) ).
cnf(refute_1_1144,plain,
( composition(skolemFOFtoCNF_X0_1,top) != join(skolemFOFtoCNF_X0_1,complement(join(skolemFOFtoCNF_X0_1,complement(composition(skolemFOFtoCNF_X0_1,top)))))
| join(skolemFOFtoCNF_X0_1,complement(join(skolemFOFtoCNF_X0_1,complement(composition(skolemFOFtoCNF_X0_1,top))))) = composition(skolemFOFtoCNF_X0_1,top) ),
inference(subst,[],[refute_1_5:[bind(X,$fot(composition(skolemFOFtoCNF_X0_1,top))),bind(Y,$fot(join(skolemFOFtoCNF_X0_1,complement(join(skolemFOFtoCNF_X0_1,complement(composition(skolemFOFtoCNF_X0_1,top)))))))]]) ).
cnf(refute_1_1145,plain,
join(skolemFOFtoCNF_X0_1,complement(join(skolemFOFtoCNF_X0_1,complement(composition(skolemFOFtoCNF_X0_1,top))))) = composition(skolemFOFtoCNF_X0_1,top),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0_1,top),join(skolemFOFtoCNF_X0_1,complement(join(skolemFOFtoCNF_X0_1,complement(composition(skolemFOFtoCNF_X0_1,top)))))) )],[refute_1_1143,refute_1_1144]) ).
cnf(refute_1_1146,plain,
( complement(skolemFOFtoCNF_X0_1) != join(complement(join(skolemFOFtoCNF_X0_1,complement(join(skolemFOFtoCNF_X0_1,complement(composition(skolemFOFtoCNF_X0_1,top)))))),meet(complement(join(skolemFOFtoCNF_X0_1,complement(composition(skolemFOFtoCNF_X0_1,top)))),complement(skolemFOFtoCNF_X0_1)))
| join(skolemFOFtoCNF_X0_1,complement(join(skolemFOFtoCNF_X0_1,complement(composition(skolemFOFtoCNF_X0_1,top))))) != composition(skolemFOFtoCNF_X0_1,top)
| complement(skolemFOFtoCNF_X0_1) = join(complement(composition(skolemFOFtoCNF_X0_1,top)),meet(complement(join(skolemFOFtoCNF_X0_1,complement(composition(skolemFOFtoCNF_X0_1,top)))),complement(skolemFOFtoCNF_X0_1))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(skolemFOFtoCNF_X0_1),join(complement(join(skolemFOFtoCNF_X0_1,complement(join(skolemFOFtoCNF_X0_1,complement(composition(skolemFOFtoCNF_X0_1,top)))))),meet(complement(join(skolemFOFtoCNF_X0_1,complement(composition(skolemFOFtoCNF_X0_1,top)))),complement(skolemFOFtoCNF_X0_1)))) ),[1,0,0],$fot(composition(skolemFOFtoCNF_X0_1,top))]]) ).
cnf(refute_1_1147,plain,
( complement(skolemFOFtoCNF_X0_1) != join(complement(join(skolemFOFtoCNF_X0_1,complement(join(skolemFOFtoCNF_X0_1,complement(composition(skolemFOFtoCNF_X0_1,top)))))),meet(complement(join(skolemFOFtoCNF_X0_1,complement(composition(skolemFOFtoCNF_X0_1,top)))),complement(skolemFOFtoCNF_X0_1)))
| complement(skolemFOFtoCNF_X0_1) = join(complement(composition(skolemFOFtoCNF_X0_1,top)),meet(complement(join(skolemFOFtoCNF_X0_1,complement(composition(skolemFOFtoCNF_X0_1,top)))),complement(skolemFOFtoCNF_X0_1))) ),
inference(resolve,[$cnf( $equal(join(skolemFOFtoCNF_X0_1,complement(join(skolemFOFtoCNF_X0_1,complement(composition(skolemFOFtoCNF_X0_1,top))))),composition(skolemFOFtoCNF_X0_1,top)) )],[refute_1_1145,refute_1_1146]) ).
cnf(refute_1_1148,plain,
complement(skolemFOFtoCNF_X0_1) = join(complement(composition(skolemFOFtoCNF_X0_1,top)),meet(complement(join(skolemFOFtoCNF_X0_1,complement(composition(skolemFOFtoCNF_X0_1,top)))),complement(skolemFOFtoCNF_X0_1))),
inference(resolve,[$cnf( $equal(complement(skolemFOFtoCNF_X0_1),join(complement(join(skolemFOFtoCNF_X0_1,complement(join(skolemFOFtoCNF_X0_1,complement(composition(skolemFOFtoCNF_X0_1,top)))))),meet(complement(join(skolemFOFtoCNF_X0_1,complement(composition(skolemFOFtoCNF_X0_1,top)))),complement(skolemFOFtoCNF_X0_1)))) )],[refute_1_1085,refute_1_1147]) ).
cnf(refute_1_1149,plain,
meet(complement(join(skolemFOFtoCNF_X0_1,complement(composition(skolemFOFtoCNF_X0_1,top)))),complement(skolemFOFtoCNF_X0_1)) = meet(complement(skolemFOFtoCNF_X0_1),complement(join(skolemFOFtoCNF_X0_1,complement(composition(skolemFOFtoCNF_X0_1,top))))),
inference(subst,[],[refute_1_850:[bind(X_348,$fot(complement(skolemFOFtoCNF_X0_1))),bind(X_349,$fot(complement(join(skolemFOFtoCNF_X0_1,complement(composition(skolemFOFtoCNF_X0_1,top))))))]]) ).
cnf(refute_1_1150,plain,
join(complement(composition(skolemFOFtoCNF_X0_1,top)),meet(complement(join(skolemFOFtoCNF_X0_1,complement(composition(skolemFOFtoCNF_X0_1,top)))),complement(skolemFOFtoCNF_X0_1))) = join(complement(composition(skolemFOFtoCNF_X0_1,top)),meet(complement(join(skolemFOFtoCNF_X0_1,complement(composition(skolemFOFtoCNF_X0_1,top)))),complement(skolemFOFtoCNF_X0_1))),
introduced(tautology,[refl,[$fot(join(complement(composition(skolemFOFtoCNF_X0_1,top)),meet(complement(join(skolemFOFtoCNF_X0_1,complement(composition(skolemFOFtoCNF_X0_1,top)))),complement(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_1151,plain,
( join(complement(composition(skolemFOFtoCNF_X0_1,top)),meet(complement(join(skolemFOFtoCNF_X0_1,complement(composition(skolemFOFtoCNF_X0_1,top)))),complement(skolemFOFtoCNF_X0_1))) != join(complement(composition(skolemFOFtoCNF_X0_1,top)),meet(complement(join(skolemFOFtoCNF_X0_1,complement(composition(skolemFOFtoCNF_X0_1,top)))),complement(skolemFOFtoCNF_X0_1)))
| meet(complement(join(skolemFOFtoCNF_X0_1,complement(composition(skolemFOFtoCNF_X0_1,top)))),complement(skolemFOFtoCNF_X0_1)) != meet(complement(skolemFOFtoCNF_X0_1),complement(join(skolemFOFtoCNF_X0_1,complement(composition(skolemFOFtoCNF_X0_1,top)))))
| join(complement(composition(skolemFOFtoCNF_X0_1,top)),meet(complement(join(skolemFOFtoCNF_X0_1,complement(composition(skolemFOFtoCNF_X0_1,top)))),complement(skolemFOFtoCNF_X0_1))) = join(complement(composition(skolemFOFtoCNF_X0_1,top)),meet(complement(skolemFOFtoCNF_X0_1),complement(join(skolemFOFtoCNF_X0_1,complement(composition(skolemFOFtoCNF_X0_1,top)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(composition(skolemFOFtoCNF_X0_1,top)),meet(complement(join(skolemFOFtoCNF_X0_1,complement(composition(skolemFOFtoCNF_X0_1,top)))),complement(skolemFOFtoCNF_X0_1))),join(complement(composition(skolemFOFtoCNF_X0_1,top)),meet(complement(join(skolemFOFtoCNF_X0_1,complement(composition(skolemFOFtoCNF_X0_1,top)))),complement(skolemFOFtoCNF_X0_1)))) ),[1,1],$fot(meet(complement(skolemFOFtoCNF_X0_1),complement(join(skolemFOFtoCNF_X0_1,complement(composition(skolemFOFtoCNF_X0_1,top))))))]]) ).
cnf(refute_1_1152,plain,
( meet(complement(join(skolemFOFtoCNF_X0_1,complement(composition(skolemFOFtoCNF_X0_1,top)))),complement(skolemFOFtoCNF_X0_1)) != meet(complement(skolemFOFtoCNF_X0_1),complement(join(skolemFOFtoCNF_X0_1,complement(composition(skolemFOFtoCNF_X0_1,top)))))
| join(complement(composition(skolemFOFtoCNF_X0_1,top)),meet(complement(join(skolemFOFtoCNF_X0_1,complement(composition(skolemFOFtoCNF_X0_1,top)))),complement(skolemFOFtoCNF_X0_1))) = join(complement(composition(skolemFOFtoCNF_X0_1,top)),meet(complement(skolemFOFtoCNF_X0_1),complement(join(skolemFOFtoCNF_X0_1,complement(composition(skolemFOFtoCNF_X0_1,top)))))) ),
inference(resolve,[$cnf( $equal(join(complement(composition(skolemFOFtoCNF_X0_1,top)),meet(complement(join(skolemFOFtoCNF_X0_1,complement(composition(skolemFOFtoCNF_X0_1,top)))),complement(skolemFOFtoCNF_X0_1))),join(complement(composition(skolemFOFtoCNF_X0_1,top)),meet(complement(join(skolemFOFtoCNF_X0_1,complement(composition(skolemFOFtoCNF_X0_1,top)))),complement(skolemFOFtoCNF_X0_1)))) )],[refute_1_1150,refute_1_1151]) ).
cnf(refute_1_1153,plain,
join(complement(composition(skolemFOFtoCNF_X0_1,top)),meet(complement(join(skolemFOFtoCNF_X0_1,complement(composition(skolemFOFtoCNF_X0_1,top)))),complement(skolemFOFtoCNF_X0_1))) = join(complement(composition(skolemFOFtoCNF_X0_1,top)),meet(complement(skolemFOFtoCNF_X0_1),complement(join(skolemFOFtoCNF_X0_1,complement(composition(skolemFOFtoCNF_X0_1,top)))))),
inference(resolve,[$cnf( $equal(meet(complement(join(skolemFOFtoCNF_X0_1,complement(composition(skolemFOFtoCNF_X0_1,top)))),complement(skolemFOFtoCNF_X0_1)),meet(complement(skolemFOFtoCNF_X0_1),complement(join(skolemFOFtoCNF_X0_1,complement(composition(skolemFOFtoCNF_X0_1,top)))))) )],[refute_1_1149,refute_1_1152]) ).
cnf(refute_1_1154,plain,
( complement(skolemFOFtoCNF_X0_1) != join(complement(composition(skolemFOFtoCNF_X0_1,top)),meet(complement(join(skolemFOFtoCNF_X0_1,complement(composition(skolemFOFtoCNF_X0_1,top)))),complement(skolemFOFtoCNF_X0_1)))
| join(complement(composition(skolemFOFtoCNF_X0_1,top)),meet(complement(join(skolemFOFtoCNF_X0_1,complement(composition(skolemFOFtoCNF_X0_1,top)))),complement(skolemFOFtoCNF_X0_1))) != join(complement(composition(skolemFOFtoCNF_X0_1,top)),meet(complement(skolemFOFtoCNF_X0_1),complement(join(skolemFOFtoCNF_X0_1,complement(composition(skolemFOFtoCNF_X0_1,top))))))
| complement(skolemFOFtoCNF_X0_1) = join(complement(composition(skolemFOFtoCNF_X0_1,top)),meet(complement(skolemFOFtoCNF_X0_1),complement(join(skolemFOFtoCNF_X0_1,complement(composition(skolemFOFtoCNF_X0_1,top)))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(skolemFOFtoCNF_X0_1),join(complement(composition(skolemFOFtoCNF_X0_1,top)),meet(complement(skolemFOFtoCNF_X0_1),complement(join(skolemFOFtoCNF_X0_1,complement(composition(skolemFOFtoCNF_X0_1,top))))))) ),[0],$fot(join(complement(composition(skolemFOFtoCNF_X0_1,top)),meet(complement(join(skolemFOFtoCNF_X0_1,complement(composition(skolemFOFtoCNF_X0_1,top)))),complement(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_1155,plain,
( complement(skolemFOFtoCNF_X0_1) != join(complement(composition(skolemFOFtoCNF_X0_1,top)),meet(complement(join(skolemFOFtoCNF_X0_1,complement(composition(skolemFOFtoCNF_X0_1,top)))),complement(skolemFOFtoCNF_X0_1)))
| complement(skolemFOFtoCNF_X0_1) = join(complement(composition(skolemFOFtoCNF_X0_1,top)),meet(complement(skolemFOFtoCNF_X0_1),complement(join(skolemFOFtoCNF_X0_1,complement(composition(skolemFOFtoCNF_X0_1,top)))))) ),
inference(resolve,[$cnf( $equal(join(complement(composition(skolemFOFtoCNF_X0_1,top)),meet(complement(join(skolemFOFtoCNF_X0_1,complement(composition(skolemFOFtoCNF_X0_1,top)))),complement(skolemFOFtoCNF_X0_1))),join(complement(composition(skolemFOFtoCNF_X0_1,top)),meet(complement(skolemFOFtoCNF_X0_1),complement(join(skolemFOFtoCNF_X0_1,complement(composition(skolemFOFtoCNF_X0_1,top))))))) )],[refute_1_1153,refute_1_1154]) ).
cnf(refute_1_1156,plain,
complement(skolemFOFtoCNF_X0_1) = join(complement(composition(skolemFOFtoCNF_X0_1,top)),meet(complement(skolemFOFtoCNF_X0_1),complement(join(skolemFOFtoCNF_X0_1,complement(composition(skolemFOFtoCNF_X0_1,top)))))),
inference(resolve,[$cnf( $equal(complement(skolemFOFtoCNF_X0_1),join(complement(composition(skolemFOFtoCNF_X0_1,top)),meet(complement(join(skolemFOFtoCNF_X0_1,complement(composition(skolemFOFtoCNF_X0_1,top)))),complement(skolemFOFtoCNF_X0_1)))) )],[refute_1_1148,refute_1_1155]) ).
cnf(refute_1_1157,plain,
( complement(skolemFOFtoCNF_X0_1) != join(complement(composition(skolemFOFtoCNF_X0_1,top)),meet(complement(skolemFOFtoCNF_X0_1),complement(join(skolemFOFtoCNF_X0_1,complement(composition(skolemFOFtoCNF_X0_1,top))))))
| join(complement(composition(skolemFOFtoCNF_X0_1,top)),meet(complement(skolemFOFtoCNF_X0_1),complement(join(skolemFOFtoCNF_X0_1,complement(composition(skolemFOFtoCNF_X0_1,top)))))) = complement(skolemFOFtoCNF_X0_1) ),
inference(subst,[],[refute_1_5:[bind(X,$fot(complement(skolemFOFtoCNF_X0_1))),bind(Y,$fot(join(complement(composition(skolemFOFtoCNF_X0_1,top)),meet(complement(skolemFOFtoCNF_X0_1),complement(join(skolemFOFtoCNF_X0_1,complement(composition(skolemFOFtoCNF_X0_1,top))))))))]]) ).
cnf(refute_1_1158,plain,
join(complement(composition(skolemFOFtoCNF_X0_1,top)),meet(complement(skolemFOFtoCNF_X0_1),complement(join(skolemFOFtoCNF_X0_1,complement(composition(skolemFOFtoCNF_X0_1,top)))))) = complement(skolemFOFtoCNF_X0_1),
inference(resolve,[$cnf( $equal(complement(skolemFOFtoCNF_X0_1),join(complement(composition(skolemFOFtoCNF_X0_1,top)),meet(complement(skolemFOFtoCNF_X0_1),complement(join(skolemFOFtoCNF_X0_1,complement(composition(skolemFOFtoCNF_X0_1,top))))))) )],[refute_1_1156,refute_1_1157]) ).
cnf(refute_1_1159,plain,
( converse(complement(composition(skolemFOFtoCNF_X0_1,top))) != meet(converse(complement(composition(skolemFOFtoCNF_X0_1,top))),converse(join(complement(composition(skolemFOFtoCNF_X0_1,top)),meet(complement(skolemFOFtoCNF_X0_1),complement(join(skolemFOFtoCNF_X0_1,complement(composition(skolemFOFtoCNF_X0_1,top))))))))
| join(complement(composition(skolemFOFtoCNF_X0_1,top)),meet(complement(skolemFOFtoCNF_X0_1),complement(join(skolemFOFtoCNF_X0_1,complement(composition(skolemFOFtoCNF_X0_1,top)))))) != complement(skolemFOFtoCNF_X0_1)
| converse(complement(composition(skolemFOFtoCNF_X0_1,top))) = meet(converse(complement(composition(skolemFOFtoCNF_X0_1,top))),converse(complement(skolemFOFtoCNF_X0_1))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(composition(skolemFOFtoCNF_X0_1,top))),meet(converse(complement(composition(skolemFOFtoCNF_X0_1,top))),converse(join(complement(composition(skolemFOFtoCNF_X0_1,top)),meet(complement(skolemFOFtoCNF_X0_1),complement(join(skolemFOFtoCNF_X0_1,complement(composition(skolemFOFtoCNF_X0_1,top))))))))) ),[1,1,0],$fot(complement(skolemFOFtoCNF_X0_1))]]) ).
cnf(refute_1_1160,plain,
( converse(complement(composition(skolemFOFtoCNF_X0_1,top))) != meet(converse(complement(composition(skolemFOFtoCNF_X0_1,top))),converse(join(complement(composition(skolemFOFtoCNF_X0_1,top)),meet(complement(skolemFOFtoCNF_X0_1),complement(join(skolemFOFtoCNF_X0_1,complement(composition(skolemFOFtoCNF_X0_1,top))))))))
| converse(complement(composition(skolemFOFtoCNF_X0_1,top))) = meet(converse(complement(composition(skolemFOFtoCNF_X0_1,top))),converse(complement(skolemFOFtoCNF_X0_1))) ),
inference(resolve,[$cnf( $equal(join(complement(composition(skolemFOFtoCNF_X0_1,top)),meet(complement(skolemFOFtoCNF_X0_1),complement(join(skolemFOFtoCNF_X0_1,complement(composition(skolemFOFtoCNF_X0_1,top)))))),complement(skolemFOFtoCNF_X0_1)) )],[refute_1_1158,refute_1_1159]) ).
cnf(refute_1_1161,plain,
converse(complement(composition(skolemFOFtoCNF_X0_1,top))) = meet(converse(complement(composition(skolemFOFtoCNF_X0_1,top))),converse(complement(skolemFOFtoCNF_X0_1))),
inference(resolve,[$cnf( $equal(converse(complement(composition(skolemFOFtoCNF_X0_1,top))),meet(converse(complement(composition(skolemFOFtoCNF_X0_1,top))),converse(join(complement(composition(skolemFOFtoCNF_X0_1,top)),meet(complement(skolemFOFtoCNF_X0_1),complement(join(skolemFOFtoCNF_X0_1,complement(composition(skolemFOFtoCNF_X0_1,top))))))))) )],[refute_1_1084,refute_1_1160]) ).
cnf(refute_1_1162,plain,
meet(converse(complement(composition(skolemFOFtoCNF_X0_1,top))),converse(complement(skolemFOFtoCNF_X0_1))) = meet(converse(complement(skolemFOFtoCNF_X0_1)),converse(complement(composition(skolemFOFtoCNF_X0_1,top)))),
inference(subst,[],[refute_1_850:[bind(X_348,$fot(converse(complement(skolemFOFtoCNF_X0_1)))),bind(X_349,$fot(converse(complement(composition(skolemFOFtoCNF_X0_1,top)))))]]) ).
cnf(refute_1_1163,plain,
( converse(complement(composition(skolemFOFtoCNF_X0_1,top))) != meet(converse(complement(composition(skolemFOFtoCNF_X0_1,top))),converse(complement(skolemFOFtoCNF_X0_1)))
| meet(converse(complement(composition(skolemFOFtoCNF_X0_1,top))),converse(complement(skolemFOFtoCNF_X0_1))) != meet(converse(complement(skolemFOFtoCNF_X0_1)),converse(complement(composition(skolemFOFtoCNF_X0_1,top))))
| converse(complement(composition(skolemFOFtoCNF_X0_1,top))) = meet(converse(complement(skolemFOFtoCNF_X0_1)),converse(complement(composition(skolemFOFtoCNF_X0_1,top)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(complement(composition(skolemFOFtoCNF_X0_1,top))),meet(converse(complement(skolemFOFtoCNF_X0_1)),converse(complement(composition(skolemFOFtoCNF_X0_1,top))))) ),[0],$fot(meet(converse(complement(composition(skolemFOFtoCNF_X0_1,top))),converse(complement(skolemFOFtoCNF_X0_1))))]]) ).
cnf(refute_1_1164,plain,
( converse(complement(composition(skolemFOFtoCNF_X0_1,top))) != meet(converse(complement(composition(skolemFOFtoCNF_X0_1,top))),converse(complement(skolemFOFtoCNF_X0_1)))
| converse(complement(composition(skolemFOFtoCNF_X0_1,top))) = meet(converse(complement(skolemFOFtoCNF_X0_1)),converse(complement(composition(skolemFOFtoCNF_X0_1,top)))) ),
inference(resolve,[$cnf( $equal(meet(converse(complement(composition(skolemFOFtoCNF_X0_1,top))),converse(complement(skolemFOFtoCNF_X0_1))),meet(converse(complement(skolemFOFtoCNF_X0_1)),converse(complement(composition(skolemFOFtoCNF_X0_1,top))))) )],[refute_1_1162,refute_1_1163]) ).
cnf(refute_1_1165,plain,
converse(complement(composition(skolemFOFtoCNF_X0_1,top))) = meet(converse(complement(skolemFOFtoCNF_X0_1)),converse(complement(composition(skolemFOFtoCNF_X0_1,top)))),
inference(resolve,[$cnf( $equal(converse(complement(composition(skolemFOFtoCNF_X0_1,top))),meet(converse(complement(composition(skolemFOFtoCNF_X0_1,top))),converse(complement(skolemFOFtoCNF_X0_1)))) )],[refute_1_1161,refute_1_1164]) ).
cnf(refute_1_1166,plain,
( converse(complement(composition(skolemFOFtoCNF_X0_1,top))) != meet(converse(complement(skolemFOFtoCNF_X0_1)),converse(complement(composition(skolemFOFtoCNF_X0_1,top))))
| meet(converse(complement(skolemFOFtoCNF_X0_1)),converse(complement(composition(skolemFOFtoCNF_X0_1,top)))) = converse(complement(composition(skolemFOFtoCNF_X0_1,top))) ),
inference(subst,[],[refute_1_5:[bind(X,$fot(converse(complement(composition(skolemFOFtoCNF_X0_1,top))))),bind(Y,$fot(meet(converse(complement(skolemFOFtoCNF_X0_1)),converse(complement(composition(skolemFOFtoCNF_X0_1,top))))))]]) ).
cnf(refute_1_1167,plain,
meet(converse(complement(skolemFOFtoCNF_X0_1)),converse(complement(composition(skolemFOFtoCNF_X0_1,top)))) = converse(complement(composition(skolemFOFtoCNF_X0_1,top))),
inference(resolve,[$cnf( $equal(converse(complement(composition(skolemFOFtoCNF_X0_1,top))),meet(converse(complement(skolemFOFtoCNF_X0_1)),converse(complement(composition(skolemFOFtoCNF_X0_1,top))))) )],[refute_1_1165,refute_1_1166]) ).
cnf(refute_1_1168,plain,
( converse(complement(skolemFOFtoCNF_X0_1)) != join(meet(converse(complement(skolemFOFtoCNF_X0_1)),converse(complement(composition(skolemFOFtoCNF_X0_1,top)))),meet(complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top)))),converse(complement(skolemFOFtoCNF_X0_1))))
| meet(converse(complement(skolemFOFtoCNF_X0_1)),converse(complement(composition(skolemFOFtoCNF_X0_1,top)))) != converse(complement(composition(skolemFOFtoCNF_X0_1,top)))
| converse(complement(skolemFOFtoCNF_X0_1)) = join(converse(complement(composition(skolemFOFtoCNF_X0_1,top))),meet(complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top)))),converse(complement(skolemFOFtoCNF_X0_1)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(skolemFOFtoCNF_X0_1)),join(meet(converse(complement(skolemFOFtoCNF_X0_1)),converse(complement(composition(skolemFOFtoCNF_X0_1,top)))),meet(complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top)))),converse(complement(skolemFOFtoCNF_X0_1))))) ),[1,0],$fot(converse(complement(composition(skolemFOFtoCNF_X0_1,top))))]]) ).
cnf(refute_1_1169,plain,
( converse(complement(skolemFOFtoCNF_X0_1)) != join(meet(converse(complement(skolemFOFtoCNF_X0_1)),converse(complement(composition(skolemFOFtoCNF_X0_1,top)))),meet(complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top)))),converse(complement(skolemFOFtoCNF_X0_1))))
| converse(complement(skolemFOFtoCNF_X0_1)) = join(converse(complement(composition(skolemFOFtoCNF_X0_1,top))),meet(complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top)))),converse(complement(skolemFOFtoCNF_X0_1)))) ),
inference(resolve,[$cnf( $equal(meet(converse(complement(skolemFOFtoCNF_X0_1)),converse(complement(composition(skolemFOFtoCNF_X0_1,top)))),converse(complement(composition(skolemFOFtoCNF_X0_1,top)))) )],[refute_1_1167,refute_1_1168]) ).
cnf(refute_1_1170,plain,
converse(complement(skolemFOFtoCNF_X0_1)) = join(converse(complement(composition(skolemFOFtoCNF_X0_1,top))),meet(complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top)))),converse(complement(skolemFOFtoCNF_X0_1)))),
inference(resolve,[$cnf( $equal(converse(complement(skolemFOFtoCNF_X0_1)),join(meet(converse(complement(skolemFOFtoCNF_X0_1)),converse(complement(composition(skolemFOFtoCNF_X0_1,top)))),meet(complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top)))),converse(complement(skolemFOFtoCNF_X0_1))))) )],[refute_1_1083,refute_1_1169]) ).
cnf(refute_1_1171,plain,
meet(complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top)))),converse(complement(skolemFOFtoCNF_X0_1))) = meet(converse(complement(skolemFOFtoCNF_X0_1)),complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top))))),
inference(subst,[],[refute_1_850:[bind(X_348,$fot(converse(complement(skolemFOFtoCNF_X0_1)))),bind(X_349,$fot(complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top))))))]]) ).
cnf(refute_1_1172,plain,
join(converse(complement(composition(skolemFOFtoCNF_X0_1,top))),meet(complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top)))),converse(complement(skolemFOFtoCNF_X0_1)))) = join(converse(complement(composition(skolemFOFtoCNF_X0_1,top))),meet(complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top)))),converse(complement(skolemFOFtoCNF_X0_1)))),
introduced(tautology,[refl,[$fot(join(converse(complement(composition(skolemFOFtoCNF_X0_1,top))),meet(complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top)))),converse(complement(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_1173,plain,
( join(converse(complement(composition(skolemFOFtoCNF_X0_1,top))),meet(complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top)))),converse(complement(skolemFOFtoCNF_X0_1)))) != join(converse(complement(composition(skolemFOFtoCNF_X0_1,top))),meet(complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top)))),converse(complement(skolemFOFtoCNF_X0_1))))
| meet(complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top)))),converse(complement(skolemFOFtoCNF_X0_1))) != meet(converse(complement(skolemFOFtoCNF_X0_1)),complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top)))))
| join(converse(complement(composition(skolemFOFtoCNF_X0_1,top))),meet(complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top)))),converse(complement(skolemFOFtoCNF_X0_1)))) = join(converse(complement(composition(skolemFOFtoCNF_X0_1,top))),meet(converse(complement(skolemFOFtoCNF_X0_1)),complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(complement(composition(skolemFOFtoCNF_X0_1,top))),meet(complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top)))),converse(complement(skolemFOFtoCNF_X0_1)))),join(converse(complement(composition(skolemFOFtoCNF_X0_1,top))),meet(complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top)))),converse(complement(skolemFOFtoCNF_X0_1))))) ),[1,1],$fot(meet(converse(complement(skolemFOFtoCNF_X0_1)),complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top))))))]]) ).
cnf(refute_1_1174,plain,
( meet(complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top)))),converse(complement(skolemFOFtoCNF_X0_1))) != meet(converse(complement(skolemFOFtoCNF_X0_1)),complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top)))))
| join(converse(complement(composition(skolemFOFtoCNF_X0_1,top))),meet(complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top)))),converse(complement(skolemFOFtoCNF_X0_1)))) = join(converse(complement(composition(skolemFOFtoCNF_X0_1,top))),meet(converse(complement(skolemFOFtoCNF_X0_1)),complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top)))))) ),
inference(resolve,[$cnf( $equal(join(converse(complement(composition(skolemFOFtoCNF_X0_1,top))),meet(complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top)))),converse(complement(skolemFOFtoCNF_X0_1)))),join(converse(complement(composition(skolemFOFtoCNF_X0_1,top))),meet(complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top)))),converse(complement(skolemFOFtoCNF_X0_1))))) )],[refute_1_1172,refute_1_1173]) ).
cnf(refute_1_1175,plain,
join(converse(complement(composition(skolemFOFtoCNF_X0_1,top))),meet(complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top)))),converse(complement(skolemFOFtoCNF_X0_1)))) = join(converse(complement(composition(skolemFOFtoCNF_X0_1,top))),meet(converse(complement(skolemFOFtoCNF_X0_1)),complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top)))))),
inference(resolve,[$cnf( $equal(meet(complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top)))),converse(complement(skolemFOFtoCNF_X0_1))),meet(converse(complement(skolemFOFtoCNF_X0_1)),complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top)))))) )],[refute_1_1171,refute_1_1174]) ).
cnf(refute_1_1176,plain,
( converse(complement(skolemFOFtoCNF_X0_1)) != join(converse(complement(composition(skolemFOFtoCNF_X0_1,top))),meet(complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top)))),converse(complement(skolemFOFtoCNF_X0_1))))
| join(converse(complement(composition(skolemFOFtoCNF_X0_1,top))),meet(complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top)))),converse(complement(skolemFOFtoCNF_X0_1)))) != join(converse(complement(composition(skolemFOFtoCNF_X0_1,top))),meet(converse(complement(skolemFOFtoCNF_X0_1)),complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top))))))
| converse(complement(skolemFOFtoCNF_X0_1)) = join(converse(complement(composition(skolemFOFtoCNF_X0_1,top))),meet(converse(complement(skolemFOFtoCNF_X0_1)),complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top)))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(complement(skolemFOFtoCNF_X0_1)),join(converse(complement(composition(skolemFOFtoCNF_X0_1,top))),meet(converse(complement(skolemFOFtoCNF_X0_1)),complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top))))))) ),[0],$fot(join(converse(complement(composition(skolemFOFtoCNF_X0_1,top))),meet(complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top)))),converse(complement(skolemFOFtoCNF_X0_1)))))]]) ).
cnf(refute_1_1177,plain,
( converse(complement(skolemFOFtoCNF_X0_1)) != join(converse(complement(composition(skolemFOFtoCNF_X0_1,top))),meet(complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top)))),converse(complement(skolemFOFtoCNF_X0_1))))
| converse(complement(skolemFOFtoCNF_X0_1)) = join(converse(complement(composition(skolemFOFtoCNF_X0_1,top))),meet(converse(complement(skolemFOFtoCNF_X0_1)),complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top)))))) ),
inference(resolve,[$cnf( $equal(join(converse(complement(composition(skolemFOFtoCNF_X0_1,top))),meet(complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top)))),converse(complement(skolemFOFtoCNF_X0_1)))),join(converse(complement(composition(skolemFOFtoCNF_X0_1,top))),meet(converse(complement(skolemFOFtoCNF_X0_1)),complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top))))))) )],[refute_1_1175,refute_1_1176]) ).
cnf(refute_1_1178,plain,
converse(complement(skolemFOFtoCNF_X0_1)) = join(converse(complement(composition(skolemFOFtoCNF_X0_1,top))),meet(converse(complement(skolemFOFtoCNF_X0_1)),complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top)))))),
inference(resolve,[$cnf( $equal(converse(complement(skolemFOFtoCNF_X0_1)),join(converse(complement(composition(skolemFOFtoCNF_X0_1,top))),meet(complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top)))),converse(complement(skolemFOFtoCNF_X0_1))))) )],[refute_1_1170,refute_1_1177]) ).
cnf(refute_1_1179,plain,
( converse(complement(skolemFOFtoCNF_X0_1)) != join(converse(complement(composition(skolemFOFtoCNF_X0_1,top))),meet(converse(complement(skolemFOFtoCNF_X0_1)),complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top))))))
| join(converse(complement(composition(skolemFOFtoCNF_X0_1,top))),meet(converse(complement(skolemFOFtoCNF_X0_1)),complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top)))))) = converse(complement(skolemFOFtoCNF_X0_1)) ),
inference(subst,[],[refute_1_5:[bind(X,$fot(converse(complement(skolemFOFtoCNF_X0_1)))),bind(Y,$fot(join(converse(complement(composition(skolemFOFtoCNF_X0_1,top))),meet(converse(complement(skolemFOFtoCNF_X0_1)),complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top))))))))]]) ).
cnf(refute_1_1180,plain,
join(converse(complement(composition(skolemFOFtoCNF_X0_1,top))),meet(converse(complement(skolemFOFtoCNF_X0_1)),complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top)))))) = converse(complement(skolemFOFtoCNF_X0_1)),
inference(resolve,[$cnf( $equal(converse(complement(skolemFOFtoCNF_X0_1)),join(converse(complement(composition(skolemFOFtoCNF_X0_1,top))),meet(converse(complement(skolemFOFtoCNF_X0_1)),complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top))))))) )],[refute_1_1178,refute_1_1179]) ).
cnf(refute_1_1181,plain,
( converse(join(meet(converse(complement(skolemFOFtoCNF_X0_1)),complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top))))),converse(complement(composition(skolemFOFtoCNF_X0_1,top))))) != converse(join(converse(complement(composition(skolemFOFtoCNF_X0_1,top))),meet(converse(complement(skolemFOFtoCNF_X0_1)),complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top)))))))
| join(converse(complement(composition(skolemFOFtoCNF_X0_1,top))),meet(converse(complement(skolemFOFtoCNF_X0_1)),complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top)))))) != converse(complement(skolemFOFtoCNF_X0_1))
| converse(join(meet(converse(complement(skolemFOFtoCNF_X0_1)),complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top))))),converse(complement(composition(skolemFOFtoCNF_X0_1,top))))) = converse(converse(complement(skolemFOFtoCNF_X0_1))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(meet(converse(complement(skolemFOFtoCNF_X0_1)),complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top))))),converse(complement(composition(skolemFOFtoCNF_X0_1,top))))),converse(join(converse(complement(composition(skolemFOFtoCNF_X0_1,top))),meet(converse(complement(skolemFOFtoCNF_X0_1)),complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top)))))))) ),[1,0],$fot(converse(complement(skolemFOFtoCNF_X0_1)))]]) ).
cnf(refute_1_1182,plain,
( converse(join(meet(converse(complement(skolemFOFtoCNF_X0_1)),complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top))))),converse(complement(composition(skolemFOFtoCNF_X0_1,top))))) != converse(join(converse(complement(composition(skolemFOFtoCNF_X0_1,top))),meet(converse(complement(skolemFOFtoCNF_X0_1)),complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top)))))))
| converse(join(meet(converse(complement(skolemFOFtoCNF_X0_1)),complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top))))),converse(complement(composition(skolemFOFtoCNF_X0_1,top))))) = converse(converse(complement(skolemFOFtoCNF_X0_1))) ),
inference(resolve,[$cnf( $equal(join(converse(complement(composition(skolemFOFtoCNF_X0_1,top))),meet(converse(complement(skolemFOFtoCNF_X0_1)),complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top)))))),converse(complement(skolemFOFtoCNF_X0_1))) )],[refute_1_1180,refute_1_1181]) ).
cnf(refute_1_1183,plain,
converse(join(meet(converse(complement(skolemFOFtoCNF_X0_1)),complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top))))),converse(complement(composition(skolemFOFtoCNF_X0_1,top))))) = converse(converse(complement(skolemFOFtoCNF_X0_1))),
inference(resolve,[$cnf( $equal(converse(join(meet(converse(complement(skolemFOFtoCNF_X0_1)),complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top))))),converse(complement(composition(skolemFOFtoCNF_X0_1,top))))),converse(join(converse(complement(composition(skolemFOFtoCNF_X0_1,top))),meet(converse(complement(skolemFOFtoCNF_X0_1)),complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top)))))))) )],[refute_1_1064,refute_1_1182]) ).
cnf(refute_1_1184,plain,
converse(join(converse(complement(composition(skolemFOFtoCNF_X0_1,top))),meet(converse(complement(skolemFOFtoCNF_X0_1)),complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top))))))) = join(complement(composition(skolemFOFtoCNF_X0_1,top)),converse(meet(converse(complement(skolemFOFtoCNF_X0_1)),complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top))))))),
inference(subst,[],[refute_1_277:[bind(X0,$fot(complement(composition(skolemFOFtoCNF_X0_1,top)))),bind(X_330,$fot(meet(converse(complement(skolemFOFtoCNF_X0_1)),complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top)))))))]]) ).
cnf(refute_1_1185,plain,
( converse(join(converse(complement(composition(skolemFOFtoCNF_X0_1,top))),meet(converse(complement(skolemFOFtoCNF_X0_1)),complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top))))))) != join(complement(composition(skolemFOFtoCNF_X0_1,top)),converse(meet(converse(complement(skolemFOFtoCNF_X0_1)),complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top)))))))
| converse(join(meet(converse(complement(skolemFOFtoCNF_X0_1)),complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top))))),converse(complement(composition(skolemFOFtoCNF_X0_1,top))))) != converse(join(converse(complement(composition(skolemFOFtoCNF_X0_1,top))),meet(converse(complement(skolemFOFtoCNF_X0_1)),complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top)))))))
| converse(join(meet(converse(complement(skolemFOFtoCNF_X0_1)),complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top))))),converse(complement(composition(skolemFOFtoCNF_X0_1,top))))) = join(complement(composition(skolemFOFtoCNF_X0_1,top)),converse(meet(converse(complement(skolemFOFtoCNF_X0_1)),complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top))))))) ),
inference(subst,[],[refute_1_10:[bind(X,$fot(converse(join(meet(converse(complement(skolemFOFtoCNF_X0_1)),complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top))))),converse(complement(composition(skolemFOFtoCNF_X0_1,top))))))),bind(Y,$fot(converse(join(converse(complement(composition(skolemFOFtoCNF_X0_1,top))),meet(converse(complement(skolemFOFtoCNF_X0_1)),complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top))))))))),bind(Z,$fot(join(complement(composition(skolemFOFtoCNF_X0_1,top)),converse(meet(converse(complement(skolemFOFtoCNF_X0_1)),complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top)))))))))]]) ).
cnf(refute_1_1186,plain,
( converse(join(converse(complement(composition(skolemFOFtoCNF_X0_1,top))),meet(converse(complement(skolemFOFtoCNF_X0_1)),complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top))))))) != join(complement(composition(skolemFOFtoCNF_X0_1,top)),converse(meet(converse(complement(skolemFOFtoCNF_X0_1)),complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top)))))))
| converse(join(meet(converse(complement(skolemFOFtoCNF_X0_1)),complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top))))),converse(complement(composition(skolemFOFtoCNF_X0_1,top))))) = join(complement(composition(skolemFOFtoCNF_X0_1,top)),converse(meet(converse(complement(skolemFOFtoCNF_X0_1)),complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top))))))) ),
inference(resolve,[$cnf( $equal(converse(join(meet(converse(complement(skolemFOFtoCNF_X0_1)),complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top))))),converse(complement(composition(skolemFOFtoCNF_X0_1,top))))),converse(join(converse(complement(composition(skolemFOFtoCNF_X0_1,top))),meet(converse(complement(skolemFOFtoCNF_X0_1)),complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top)))))))) )],[refute_1_1064,refute_1_1185]) ).
cnf(refute_1_1187,plain,
converse(join(meet(converse(complement(skolemFOFtoCNF_X0_1)),complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top))))),converse(complement(composition(skolemFOFtoCNF_X0_1,top))))) = join(complement(composition(skolemFOFtoCNF_X0_1,top)),converse(meet(converse(complement(skolemFOFtoCNF_X0_1)),complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top))))))),
inference(resolve,[$cnf( $equal(converse(join(converse(complement(composition(skolemFOFtoCNF_X0_1,top))),meet(converse(complement(skolemFOFtoCNF_X0_1)),complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top))))))),join(complement(composition(skolemFOFtoCNF_X0_1,top)),converse(meet(converse(complement(skolemFOFtoCNF_X0_1)),complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top)))))))) )],[refute_1_1184,refute_1_1186]) ).
cnf(refute_1_1188,plain,
( converse(join(meet(converse(complement(skolemFOFtoCNF_X0_1)),complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top))))),converse(complement(composition(skolemFOFtoCNF_X0_1,top))))) != converse(converse(complement(skolemFOFtoCNF_X0_1)))
| converse(join(meet(converse(complement(skolemFOFtoCNF_X0_1)),complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top))))),converse(complement(composition(skolemFOFtoCNF_X0_1,top))))) != join(complement(composition(skolemFOFtoCNF_X0_1,top)),converse(meet(converse(complement(skolemFOFtoCNF_X0_1)),complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top)))))))
| join(complement(composition(skolemFOFtoCNF_X0_1,top)),converse(meet(converse(complement(skolemFOFtoCNF_X0_1)),complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top))))))) = converse(converse(complement(skolemFOFtoCNF_X0_1))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(meet(converse(complement(skolemFOFtoCNF_X0_1)),complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top))))),converse(complement(composition(skolemFOFtoCNF_X0_1,top))))),converse(converse(complement(skolemFOFtoCNF_X0_1)))) ),[0],$fot(join(complement(composition(skolemFOFtoCNF_X0_1,top)),converse(meet(converse(complement(skolemFOFtoCNF_X0_1)),complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top))))))))]]) ).
cnf(refute_1_1189,plain,
( converse(join(meet(converse(complement(skolemFOFtoCNF_X0_1)),complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top))))),converse(complement(composition(skolemFOFtoCNF_X0_1,top))))) != converse(converse(complement(skolemFOFtoCNF_X0_1)))
| join(complement(composition(skolemFOFtoCNF_X0_1,top)),converse(meet(converse(complement(skolemFOFtoCNF_X0_1)),complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top))))))) = converse(converse(complement(skolemFOFtoCNF_X0_1))) ),
inference(resolve,[$cnf( $equal(converse(join(meet(converse(complement(skolemFOFtoCNF_X0_1)),complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top))))),converse(complement(composition(skolemFOFtoCNF_X0_1,top))))),join(complement(composition(skolemFOFtoCNF_X0_1,top)),converse(meet(converse(complement(skolemFOFtoCNF_X0_1)),complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top)))))))) )],[refute_1_1187,refute_1_1188]) ).
cnf(refute_1_1190,plain,
converse(converse(complement(skolemFOFtoCNF_X0_1))) = complement(skolemFOFtoCNF_X0_1),
inference(subst,[],[refute_1_30:[bind(X0,$fot(complement(skolemFOFtoCNF_X0_1)))]]) ).
cnf(refute_1_1191,plain,
( converse(converse(complement(skolemFOFtoCNF_X0_1))) != complement(skolemFOFtoCNF_X0_1)
| join(complement(composition(skolemFOFtoCNF_X0_1,top)),converse(meet(converse(complement(skolemFOFtoCNF_X0_1)),complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top))))))) != converse(converse(complement(skolemFOFtoCNF_X0_1)))
| join(complement(composition(skolemFOFtoCNF_X0_1,top)),converse(meet(converse(complement(skolemFOFtoCNF_X0_1)),complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top))))))) = complement(skolemFOFtoCNF_X0_1) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(composition(skolemFOFtoCNF_X0_1,top)),converse(meet(converse(complement(skolemFOFtoCNF_X0_1)),complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top))))))),converse(converse(complement(skolemFOFtoCNF_X0_1)))) ),[1],$fot(complement(skolemFOFtoCNF_X0_1))]]) ).
cnf(refute_1_1192,plain,
( join(complement(composition(skolemFOFtoCNF_X0_1,top)),converse(meet(converse(complement(skolemFOFtoCNF_X0_1)),complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top))))))) != converse(converse(complement(skolemFOFtoCNF_X0_1)))
| join(complement(composition(skolemFOFtoCNF_X0_1,top)),converse(meet(converse(complement(skolemFOFtoCNF_X0_1)),complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top))))))) = complement(skolemFOFtoCNF_X0_1) ),
inference(resolve,[$cnf( $equal(converse(converse(complement(skolemFOFtoCNF_X0_1))),complement(skolemFOFtoCNF_X0_1)) )],[refute_1_1190,refute_1_1191]) ).
cnf(refute_1_1193,plain,
( converse(join(meet(converse(complement(skolemFOFtoCNF_X0_1)),complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top))))),converse(complement(composition(skolemFOFtoCNF_X0_1,top))))) != converse(converse(complement(skolemFOFtoCNF_X0_1)))
| join(complement(composition(skolemFOFtoCNF_X0_1,top)),converse(meet(converse(complement(skolemFOFtoCNF_X0_1)),complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top))))))) = complement(skolemFOFtoCNF_X0_1) ),
inference(resolve,[$cnf( $equal(join(complement(composition(skolemFOFtoCNF_X0_1,top)),converse(meet(converse(complement(skolemFOFtoCNF_X0_1)),complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top))))))),converse(converse(complement(skolemFOFtoCNF_X0_1)))) )],[refute_1_1189,refute_1_1192]) ).
cnf(refute_1_1194,plain,
join(complement(composition(skolemFOFtoCNF_X0_1,top)),converse(meet(converse(complement(skolemFOFtoCNF_X0_1)),complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top))))))) = complement(skolemFOFtoCNF_X0_1),
inference(resolve,[$cnf( $equal(converse(join(meet(converse(complement(skolemFOFtoCNF_X0_1)),complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top))))),converse(complement(composition(skolemFOFtoCNF_X0_1,top))))),converse(converse(complement(skolemFOFtoCNF_X0_1)))) )],[refute_1_1183,refute_1_1193]) ).
cnf(refute_1_1195,plain,
( join(complement(composition(skolemFOFtoCNF_X0_1,top)),composition(join(complement(composition(skolemFOFtoCNF_X0_1,top)),converse(meet(converse(complement(skolemFOFtoCNF_X0_1)),complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top))))))),top)) != composition(join(complement(composition(skolemFOFtoCNF_X0_1,top)),converse(meet(converse(complement(skolemFOFtoCNF_X0_1)),complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top))))))),top)
| join(complement(composition(skolemFOFtoCNF_X0_1,top)),converse(meet(converse(complement(skolemFOFtoCNF_X0_1)),complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top))))))) != complement(skolemFOFtoCNF_X0_1)
| join(complement(composition(skolemFOFtoCNF_X0_1,top)),composition(complement(skolemFOFtoCNF_X0_1),top)) = composition(join(complement(composition(skolemFOFtoCNF_X0_1,top)),converse(meet(converse(complement(skolemFOFtoCNF_X0_1)),complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top))))))),top) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(composition(skolemFOFtoCNF_X0_1,top)),composition(join(complement(composition(skolemFOFtoCNF_X0_1,top)),converse(meet(converse(complement(skolemFOFtoCNF_X0_1)),complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top))))))),top)),composition(join(complement(composition(skolemFOFtoCNF_X0_1,top)),converse(meet(converse(complement(skolemFOFtoCNF_X0_1)),complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top))))))),top)) ),[0,1,0],$fot(complement(skolemFOFtoCNF_X0_1))]]) ).
cnf(refute_1_1196,plain,
( join(complement(composition(skolemFOFtoCNF_X0_1,top)),composition(join(complement(composition(skolemFOFtoCNF_X0_1,top)),converse(meet(converse(complement(skolemFOFtoCNF_X0_1)),complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top))))))),top)) != composition(join(complement(composition(skolemFOFtoCNF_X0_1,top)),converse(meet(converse(complement(skolemFOFtoCNF_X0_1)),complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top))))))),top)
| join(complement(composition(skolemFOFtoCNF_X0_1,top)),composition(complement(skolemFOFtoCNF_X0_1),top)) = composition(join(complement(composition(skolemFOFtoCNF_X0_1,top)),converse(meet(converse(complement(skolemFOFtoCNF_X0_1)),complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top))))))),top) ),
inference(resolve,[$cnf( $equal(join(complement(composition(skolemFOFtoCNF_X0_1,top)),converse(meet(converse(complement(skolemFOFtoCNF_X0_1)),complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top))))))),complement(skolemFOFtoCNF_X0_1)) )],[refute_1_1194,refute_1_1195]) ).
cnf(refute_1_1197,plain,
join(complement(composition(skolemFOFtoCNF_X0_1,top)),composition(complement(skolemFOFtoCNF_X0_1),top)) = composition(join(complement(composition(skolemFOFtoCNF_X0_1,top)),converse(meet(converse(complement(skolemFOFtoCNF_X0_1)),complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top))))))),top),
inference(resolve,[$cnf( $equal(join(complement(composition(skolemFOFtoCNF_X0_1,top)),composition(join(complement(composition(skolemFOFtoCNF_X0_1,top)),converse(meet(converse(complement(skolemFOFtoCNF_X0_1)),complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top))))))),top)),composition(join(complement(composition(skolemFOFtoCNF_X0_1,top)),converse(meet(converse(complement(skolemFOFtoCNF_X0_1)),complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top))))))),top)) )],[refute_1_1063,refute_1_1196]) ).
cnf(refute_1_1198,plain,
composition(join(complement(composition(skolemFOFtoCNF_X0_1,top)),converse(meet(converse(complement(skolemFOFtoCNF_X0_1)),complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top))))))),top) = composition(join(complement(composition(skolemFOFtoCNF_X0_1,top)),converse(meet(converse(complement(skolemFOFtoCNF_X0_1)),complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top))))))),top),
introduced(tautology,[refl,[$fot(composition(join(complement(composition(skolemFOFtoCNF_X0_1,top)),converse(meet(converse(complement(skolemFOFtoCNF_X0_1)),complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top))))))),top))]]) ).
cnf(refute_1_1199,plain,
( composition(join(complement(composition(skolemFOFtoCNF_X0_1,top)),converse(meet(converse(complement(skolemFOFtoCNF_X0_1)),complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top))))))),top) != composition(join(complement(composition(skolemFOFtoCNF_X0_1,top)),converse(meet(converse(complement(skolemFOFtoCNF_X0_1)),complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top))))))),top)
| join(complement(composition(skolemFOFtoCNF_X0_1,top)),converse(meet(converse(complement(skolemFOFtoCNF_X0_1)),complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top))))))) != complement(skolemFOFtoCNF_X0_1)
| composition(join(complement(composition(skolemFOFtoCNF_X0_1,top)),converse(meet(converse(complement(skolemFOFtoCNF_X0_1)),complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top))))))),top) = composition(complement(skolemFOFtoCNF_X0_1),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(complement(composition(skolemFOFtoCNF_X0_1,top)),converse(meet(converse(complement(skolemFOFtoCNF_X0_1)),complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top))))))),top),composition(join(complement(composition(skolemFOFtoCNF_X0_1,top)),converse(meet(converse(complement(skolemFOFtoCNF_X0_1)),complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top))))))),top)) ),[1,0],$fot(complement(skolemFOFtoCNF_X0_1))]]) ).
cnf(refute_1_1200,plain,
( join(complement(composition(skolemFOFtoCNF_X0_1,top)),converse(meet(converse(complement(skolemFOFtoCNF_X0_1)),complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top))))))) != complement(skolemFOFtoCNF_X0_1)
| composition(join(complement(composition(skolemFOFtoCNF_X0_1,top)),converse(meet(converse(complement(skolemFOFtoCNF_X0_1)),complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top))))))),top) = composition(complement(skolemFOFtoCNF_X0_1),top) ),
inference(resolve,[$cnf( $equal(composition(join(complement(composition(skolemFOFtoCNF_X0_1,top)),converse(meet(converse(complement(skolemFOFtoCNF_X0_1)),complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top))))))),top),composition(join(complement(composition(skolemFOFtoCNF_X0_1,top)),converse(meet(converse(complement(skolemFOFtoCNF_X0_1)),complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top))))))),top)) )],[refute_1_1198,refute_1_1199]) ).
cnf(refute_1_1201,plain,
composition(join(complement(composition(skolemFOFtoCNF_X0_1,top)),converse(meet(converse(complement(skolemFOFtoCNF_X0_1)),complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top))))))),top) = composition(complement(skolemFOFtoCNF_X0_1),top),
inference(resolve,[$cnf( $equal(join(complement(composition(skolemFOFtoCNF_X0_1,top)),converse(meet(converse(complement(skolemFOFtoCNF_X0_1)),complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top))))))),complement(skolemFOFtoCNF_X0_1)) )],[refute_1_1194,refute_1_1200]) ).
cnf(refute_1_1202,plain,
( composition(join(complement(composition(skolemFOFtoCNF_X0_1,top)),converse(meet(converse(complement(skolemFOFtoCNF_X0_1)),complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top))))))),top) != composition(complement(skolemFOFtoCNF_X0_1),top)
| join(complement(composition(skolemFOFtoCNF_X0_1,top)),composition(complement(skolemFOFtoCNF_X0_1),top)) != composition(join(complement(composition(skolemFOFtoCNF_X0_1,top)),converse(meet(converse(complement(skolemFOFtoCNF_X0_1)),complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top))))))),top)
| join(complement(composition(skolemFOFtoCNF_X0_1,top)),composition(complement(skolemFOFtoCNF_X0_1),top)) = composition(complement(skolemFOFtoCNF_X0_1),top) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(composition(skolemFOFtoCNF_X0_1,top)),composition(complement(skolemFOFtoCNF_X0_1),top)),composition(join(complement(composition(skolemFOFtoCNF_X0_1,top)),converse(meet(converse(complement(skolemFOFtoCNF_X0_1)),complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top))))))),top)) ),[1],$fot(composition(complement(skolemFOFtoCNF_X0_1),top))]]) ).
cnf(refute_1_1203,plain,
( join(complement(composition(skolemFOFtoCNF_X0_1,top)),composition(complement(skolemFOFtoCNF_X0_1),top)) != composition(join(complement(composition(skolemFOFtoCNF_X0_1,top)),converse(meet(converse(complement(skolemFOFtoCNF_X0_1)),complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top))))))),top)
| join(complement(composition(skolemFOFtoCNF_X0_1,top)),composition(complement(skolemFOFtoCNF_X0_1),top)) = composition(complement(skolemFOFtoCNF_X0_1),top) ),
inference(resolve,[$cnf( $equal(composition(join(complement(composition(skolemFOFtoCNF_X0_1,top)),converse(meet(converse(complement(skolemFOFtoCNF_X0_1)),complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top))))))),top),composition(complement(skolemFOFtoCNF_X0_1),top)) )],[refute_1_1201,refute_1_1202]) ).
cnf(refute_1_1204,plain,
join(complement(composition(skolemFOFtoCNF_X0_1,top)),composition(complement(skolemFOFtoCNF_X0_1),top)) = composition(complement(skolemFOFtoCNF_X0_1),top),
inference(resolve,[$cnf( $equal(join(complement(composition(skolemFOFtoCNF_X0_1,top)),composition(complement(skolemFOFtoCNF_X0_1),top)),composition(join(complement(composition(skolemFOFtoCNF_X0_1,top)),converse(meet(converse(complement(skolemFOFtoCNF_X0_1)),complement(converse(complement(composition(skolemFOFtoCNF_X0_1,top))))))),top)) )],[refute_1_1197,refute_1_1203]) ).
cnf(refute_1_1205,plain,
( complement(complement(composition(skolemFOFtoCNF_X0_1,top))) != join(complement(join(complement(composition(skolemFOFtoCNF_X0_1,top)),composition(complement(skolemFOFtoCNF_X0_1),top))),meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(complement(composition(skolemFOFtoCNF_X0_1,top)))))
| join(complement(composition(skolemFOFtoCNF_X0_1,top)),composition(complement(skolemFOFtoCNF_X0_1),top)) != composition(complement(skolemFOFtoCNF_X0_1),top)
| complement(complement(composition(skolemFOFtoCNF_X0_1,top))) = join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(complement(composition(skolemFOFtoCNF_X0_1,top))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(composition(skolemFOFtoCNF_X0_1,top))),join(complement(join(complement(composition(skolemFOFtoCNF_X0_1,top)),composition(complement(skolemFOFtoCNF_X0_1),top))),meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(complement(composition(skolemFOFtoCNF_X0_1,top)))))) ),[1,0,0],$fot(composition(complement(skolemFOFtoCNF_X0_1),top))]]) ).
cnf(refute_1_1206,plain,
( complement(complement(composition(skolemFOFtoCNF_X0_1,top))) != join(complement(join(complement(composition(skolemFOFtoCNF_X0_1,top)),composition(complement(skolemFOFtoCNF_X0_1),top))),meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(complement(composition(skolemFOFtoCNF_X0_1,top)))))
| complement(complement(composition(skolemFOFtoCNF_X0_1,top))) = join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(complement(composition(skolemFOFtoCNF_X0_1,top))))) ),
inference(resolve,[$cnf( $equal(join(complement(composition(skolemFOFtoCNF_X0_1,top)),composition(complement(skolemFOFtoCNF_X0_1),top)),composition(complement(skolemFOFtoCNF_X0_1),top)) )],[refute_1_1204,refute_1_1205]) ).
cnf(refute_1_1207,plain,
complement(complement(composition(skolemFOFtoCNF_X0_1,top))) = join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(complement(composition(skolemFOFtoCNF_X0_1,top))))),
inference(resolve,[$cnf( $equal(complement(complement(composition(skolemFOFtoCNF_X0_1,top))),join(complement(join(complement(composition(skolemFOFtoCNF_X0_1,top)),composition(complement(skolemFOFtoCNF_X0_1),top))),meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(complement(composition(skolemFOFtoCNF_X0_1,top)))))) )],[refute_1_1047,refute_1_1206]) ).
cnf(refute_1_1208,plain,
complement(complement(composition(skolemFOFtoCNF_X0_1,top))) = composition(skolemFOFtoCNF_X0_1,top),
inference(subst,[],[refute_1_690:[bind(X_387,$fot(composition(skolemFOFtoCNF_X0_1,top)))]]) ).
cnf(refute_1_1209,plain,
( complement(complement(composition(skolemFOFtoCNF_X0_1,top))) != composition(skolemFOFtoCNF_X0_1,top)
| complement(complement(composition(skolemFOFtoCNF_X0_1,top))) != join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(complement(composition(skolemFOFtoCNF_X0_1,top)))))
| composition(skolemFOFtoCNF_X0_1,top) = join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(complement(composition(skolemFOFtoCNF_X0_1,top))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(composition(skolemFOFtoCNF_X0_1,top))),join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(complement(composition(skolemFOFtoCNF_X0_1,top)))))) ),[0],$fot(composition(skolemFOFtoCNF_X0_1,top))]]) ).
cnf(refute_1_1210,plain,
( complement(complement(composition(skolemFOFtoCNF_X0_1,top))) != join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(complement(composition(skolemFOFtoCNF_X0_1,top)))))
| composition(skolemFOFtoCNF_X0_1,top) = join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(complement(composition(skolemFOFtoCNF_X0_1,top))))) ),
inference(resolve,[$cnf( $equal(complement(complement(composition(skolemFOFtoCNF_X0_1,top))),composition(skolemFOFtoCNF_X0_1,top)) )],[refute_1_1208,refute_1_1209]) ).
cnf(refute_1_1211,plain,
meet(composition(complement(skolemFOFtoCNF_X0_1),top),composition(skolemFOFtoCNF_X0_1,top)) = meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top)),
inference(subst,[],[refute_1_850:[bind(X_348,$fot(composition(skolemFOFtoCNF_X0_1,top))),bind(X_349,$fot(composition(complement(skolemFOFtoCNF_X0_1),top)))]]) ).
cnf(refute_1_1212,plain,
meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(complement(composition(skolemFOFtoCNF_X0_1,top)))) = meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(complement(composition(skolemFOFtoCNF_X0_1,top)))),
introduced(tautology,[refl,[$fot(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(complement(composition(skolemFOFtoCNF_X0_1,top)))))]]) ).
cnf(refute_1_1213,plain,
( complement(complement(composition(skolemFOFtoCNF_X0_1,top))) != composition(skolemFOFtoCNF_X0_1,top)
| meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(complement(composition(skolemFOFtoCNF_X0_1,top)))) != meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(complement(composition(skolemFOFtoCNF_X0_1,top))))
| meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(complement(composition(skolemFOFtoCNF_X0_1,top)))) = meet(composition(complement(skolemFOFtoCNF_X0_1),top),composition(skolemFOFtoCNF_X0_1,top)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(complement(composition(skolemFOFtoCNF_X0_1,top)))),meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(complement(composition(skolemFOFtoCNF_X0_1,top))))) ),[1,1],$fot(composition(skolemFOFtoCNF_X0_1,top))]]) ).
cnf(refute_1_1214,plain,
( complement(complement(composition(skolemFOFtoCNF_X0_1,top))) != composition(skolemFOFtoCNF_X0_1,top)
| meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(complement(composition(skolemFOFtoCNF_X0_1,top)))) = meet(composition(complement(skolemFOFtoCNF_X0_1),top),composition(skolemFOFtoCNF_X0_1,top)) ),
inference(resolve,[$cnf( $equal(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(complement(composition(skolemFOFtoCNF_X0_1,top)))),meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(complement(composition(skolemFOFtoCNF_X0_1,top))))) )],[refute_1_1212,refute_1_1213]) ).
cnf(refute_1_1215,plain,
meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(complement(composition(skolemFOFtoCNF_X0_1,top)))) = meet(composition(complement(skolemFOFtoCNF_X0_1),top),composition(skolemFOFtoCNF_X0_1,top)),
inference(resolve,[$cnf( $equal(complement(complement(composition(skolemFOFtoCNF_X0_1,top))),composition(skolemFOFtoCNF_X0_1,top)) )],[refute_1_1208,refute_1_1214]) ).
cnf(refute_1_1216,plain,
( meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(complement(composition(skolemFOFtoCNF_X0_1,top)))) != meet(composition(complement(skolemFOFtoCNF_X0_1),top),composition(skolemFOFtoCNF_X0_1,top))
| meet(composition(complement(skolemFOFtoCNF_X0_1),top),composition(skolemFOFtoCNF_X0_1,top)) != meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top))
| meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(complement(composition(skolemFOFtoCNF_X0_1,top)))) = meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top)) ),
inference(subst,[],[refute_1_10:[bind(X,$fot(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(complement(composition(skolemFOFtoCNF_X0_1,top)))))),bind(Y,$fot(meet(composition(complement(skolemFOFtoCNF_X0_1),top),composition(skolemFOFtoCNF_X0_1,top)))),bind(Z,$fot(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top))))]]) ).
cnf(refute_1_1217,plain,
( meet(composition(complement(skolemFOFtoCNF_X0_1),top),composition(skolemFOFtoCNF_X0_1,top)) != meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top))
| meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(complement(composition(skolemFOFtoCNF_X0_1,top)))) = meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top)) ),
inference(resolve,[$cnf( $equal(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(complement(composition(skolemFOFtoCNF_X0_1,top)))),meet(composition(complement(skolemFOFtoCNF_X0_1),top),composition(skolemFOFtoCNF_X0_1,top))) )],[refute_1_1215,refute_1_1216]) ).
cnf(refute_1_1218,plain,
meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(complement(composition(skolemFOFtoCNF_X0_1,top)))) = meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top)),
inference(resolve,[$cnf( $equal(meet(composition(complement(skolemFOFtoCNF_X0_1),top),composition(skolemFOFtoCNF_X0_1,top)),meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top))) )],[refute_1_1211,refute_1_1217]) ).
cnf(refute_1_1219,plain,
join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(complement(composition(skolemFOFtoCNF_X0_1,top))))) = join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(complement(composition(skolemFOFtoCNF_X0_1,top))))),
introduced(tautology,[refl,[$fot(join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(complement(composition(skolemFOFtoCNF_X0_1,top))))))]]) ).
cnf(refute_1_1220,plain,
( join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(complement(composition(skolemFOFtoCNF_X0_1,top))))) != join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(complement(composition(skolemFOFtoCNF_X0_1,top)))))
| meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(complement(composition(skolemFOFtoCNF_X0_1,top)))) != meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top))
| join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(complement(composition(skolemFOFtoCNF_X0_1,top))))) = join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(complement(composition(skolemFOFtoCNF_X0_1,top))))),join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(complement(composition(skolemFOFtoCNF_X0_1,top)))))) ),[1,1],$fot(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top)))]]) ).
cnf(refute_1_1221,plain,
( meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(complement(composition(skolemFOFtoCNF_X0_1,top)))) != meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top))
| join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(complement(composition(skolemFOFtoCNF_X0_1,top))))) = join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top))) ),
inference(resolve,[$cnf( $equal(join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(complement(composition(skolemFOFtoCNF_X0_1,top))))),join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(complement(composition(skolemFOFtoCNF_X0_1,top)))))) )],[refute_1_1219,refute_1_1220]) ).
cnf(refute_1_1222,plain,
join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(complement(composition(skolemFOFtoCNF_X0_1,top))))) = join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top))),
inference(resolve,[$cnf( $equal(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(complement(composition(skolemFOFtoCNF_X0_1,top)))),meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top))) )],[refute_1_1218,refute_1_1221]) ).
cnf(refute_1_1223,plain,
( composition(skolemFOFtoCNF_X0_1,top) != join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(complement(composition(skolemFOFtoCNF_X0_1,top)))))
| join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(complement(composition(skolemFOFtoCNF_X0_1,top))))) != join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top)))
| composition(skolemFOFtoCNF_X0_1,top) = join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(skolemFOFtoCNF_X0_1,top),join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top)))) ),[0],$fot(join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(complement(composition(skolemFOFtoCNF_X0_1,top))))))]]) ).
cnf(refute_1_1224,plain,
( composition(skolemFOFtoCNF_X0_1,top) != join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(complement(composition(skolemFOFtoCNF_X0_1,top)))))
| composition(skolemFOFtoCNF_X0_1,top) = join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top))) ),
inference(resolve,[$cnf( $equal(join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(complement(composition(skolemFOFtoCNF_X0_1,top))))),join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top)))) )],[refute_1_1222,refute_1_1223]) ).
cnf(refute_1_1225,plain,
( complement(complement(composition(skolemFOFtoCNF_X0_1,top))) != join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(complement(composition(skolemFOFtoCNF_X0_1,top)))))
| composition(skolemFOFtoCNF_X0_1,top) = join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top))) ),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0_1,top),join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(complement(composition(skolemFOFtoCNF_X0_1,top)))))) )],[refute_1_1210,refute_1_1224]) ).
cnf(refute_1_1226,plain,
composition(skolemFOFtoCNF_X0_1,top) = join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top))),
inference(resolve,[$cnf( $equal(complement(complement(composition(skolemFOFtoCNF_X0_1,top))),join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(complement(composition(skolemFOFtoCNF_X0_1,top)))))) )],[refute_1_1207,refute_1_1225]) ).
cnf(refute_1_1227,plain,
( composition(skolemFOFtoCNF_X0_1,top) != join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top)))
| join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top))) = composition(skolemFOFtoCNF_X0_1,top) ),
inference(subst,[],[refute_1_5:[bind(X,$fot(composition(skolemFOFtoCNF_X0_1,top))),bind(Y,$fot(join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top)))))]]) ).
cnf(refute_1_1228,plain,
join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top))) = composition(skolemFOFtoCNF_X0_1,top),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0_1,top),join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top)))) )],[refute_1_1226,refute_1_1227]) ).
cnf(refute_1_1229,plain,
( complement(composition(complement(skolemFOFtoCNF_X0_1),top)) != meet(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top))))
| join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top))) != composition(skolemFOFtoCNF_X0_1,top)
| complement(composition(complement(skolemFOFtoCNF_X0_1),top)) = meet(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),composition(skolemFOFtoCNF_X0_1,top)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),meet(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top))))) ),[1,1],$fot(composition(skolemFOFtoCNF_X0_1,top))]]) ).
cnf(refute_1_1230,plain,
( complement(composition(complement(skolemFOFtoCNF_X0_1),top)) != meet(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top))))
| complement(composition(complement(skolemFOFtoCNF_X0_1),top)) = meet(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),composition(skolemFOFtoCNF_X0_1,top)) ),
inference(resolve,[$cnf( $equal(join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top))),composition(skolemFOFtoCNF_X0_1,top)) )],[refute_1_1228,refute_1_1229]) ).
cnf(refute_1_1231,plain,
complement(composition(complement(skolemFOFtoCNF_X0_1),top)) = meet(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),composition(skolemFOFtoCNF_X0_1,top)),
inference(resolve,[$cnf( $equal(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),meet(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top))))) )],[refute_1_1038,refute_1_1230]) ).
cnf(refute_1_1232,plain,
meet(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),composition(skolemFOFtoCNF_X0_1,top)) = meet(composition(skolemFOFtoCNF_X0_1,top),complement(composition(complement(skolemFOFtoCNF_X0_1),top))),
inference(subst,[],[refute_1_850:[bind(X_348,$fot(composition(skolemFOFtoCNF_X0_1,top))),bind(X_349,$fot(complement(composition(complement(skolemFOFtoCNF_X0_1),top))))]]) ).
cnf(refute_1_1233,plain,
( complement(composition(complement(skolemFOFtoCNF_X0_1),top)) != meet(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),composition(skolemFOFtoCNF_X0_1,top))
| meet(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),composition(skolemFOFtoCNF_X0_1,top)) != meet(composition(skolemFOFtoCNF_X0_1,top),complement(composition(complement(skolemFOFtoCNF_X0_1),top)))
| complement(composition(complement(skolemFOFtoCNF_X0_1),top)) = meet(composition(skolemFOFtoCNF_X0_1,top),complement(composition(complement(skolemFOFtoCNF_X0_1),top))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),meet(composition(skolemFOFtoCNF_X0_1,top),complement(composition(complement(skolemFOFtoCNF_X0_1),top)))) ),[0],$fot(meet(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),composition(skolemFOFtoCNF_X0_1,top)))]]) ).
cnf(refute_1_1234,plain,
( complement(composition(complement(skolemFOFtoCNF_X0_1),top)) != meet(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),composition(skolemFOFtoCNF_X0_1,top))
| complement(composition(complement(skolemFOFtoCNF_X0_1),top)) = meet(composition(skolemFOFtoCNF_X0_1,top),complement(composition(complement(skolemFOFtoCNF_X0_1),top))) ),
inference(resolve,[$cnf( $equal(meet(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),composition(skolemFOFtoCNF_X0_1,top)),meet(composition(skolemFOFtoCNF_X0_1,top),complement(composition(complement(skolemFOFtoCNF_X0_1),top)))) )],[refute_1_1232,refute_1_1233]) ).
cnf(refute_1_1235,plain,
complement(composition(complement(skolemFOFtoCNF_X0_1),top)) = meet(composition(skolemFOFtoCNF_X0_1,top),complement(composition(complement(skolemFOFtoCNF_X0_1),top))),
inference(resolve,[$cnf( $equal(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),meet(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),composition(skolemFOFtoCNF_X0_1,top))) )],[refute_1_1231,refute_1_1234]) ).
cnf(refute_1_1236,plain,
( complement(composition(complement(skolemFOFtoCNF_X0_1),top)) != meet(composition(skolemFOFtoCNF_X0_1,top),complement(composition(complement(skolemFOFtoCNF_X0_1),top)))
| meet(composition(skolemFOFtoCNF_X0_1,top),complement(composition(complement(skolemFOFtoCNF_X0_1),top))) = complement(composition(complement(skolemFOFtoCNF_X0_1),top)) ),
inference(subst,[],[refute_1_5:[bind(X,$fot(complement(composition(complement(skolemFOFtoCNF_X0_1),top)))),bind(Y,$fot(meet(composition(skolemFOFtoCNF_X0_1,top),complement(composition(complement(skolemFOFtoCNF_X0_1),top)))))]]) ).
cnf(refute_1_1237,plain,
meet(composition(skolemFOFtoCNF_X0_1,top),complement(composition(complement(skolemFOFtoCNF_X0_1),top))) = complement(composition(complement(skolemFOFtoCNF_X0_1),top)),
inference(resolve,[$cnf( $equal(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),meet(composition(skolemFOFtoCNF_X0_1,top),complement(composition(complement(skolemFOFtoCNF_X0_1),top)))) )],[refute_1_1235,refute_1_1236]) ).
cnf(refute_1_1238,plain,
( composition(skolemFOFtoCNF_X0_1,top) != join(meet(composition(skolemFOFtoCNF_X0_1,top),complement(composition(complement(skolemFOFtoCNF_X0_1),top))),complement(join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),complement(composition(skolemFOFtoCNF_X0_1,top)))))
| meet(composition(skolemFOFtoCNF_X0_1,top),complement(composition(complement(skolemFOFtoCNF_X0_1),top))) != complement(composition(complement(skolemFOFtoCNF_X0_1),top))
| composition(skolemFOFtoCNF_X0_1,top) = join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),complement(join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),complement(composition(skolemFOFtoCNF_X0_1,top))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(skolemFOFtoCNF_X0_1,top),join(meet(composition(skolemFOFtoCNF_X0_1,top),complement(composition(complement(skolemFOFtoCNF_X0_1),top))),complement(join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),complement(composition(skolemFOFtoCNF_X0_1,top)))))) ),[1,0],$fot(complement(composition(complement(skolemFOFtoCNF_X0_1),top)))]]) ).
cnf(refute_1_1239,plain,
( composition(skolemFOFtoCNF_X0_1,top) != join(meet(composition(skolemFOFtoCNF_X0_1,top),complement(composition(complement(skolemFOFtoCNF_X0_1),top))),complement(join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),complement(composition(skolemFOFtoCNF_X0_1,top)))))
| composition(skolemFOFtoCNF_X0_1,top) = join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),complement(join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),complement(composition(skolemFOFtoCNF_X0_1,top))))) ),
inference(resolve,[$cnf( $equal(meet(composition(skolemFOFtoCNF_X0_1,top),complement(composition(complement(skolemFOFtoCNF_X0_1),top))),complement(composition(complement(skolemFOFtoCNF_X0_1),top))) )],[refute_1_1237,refute_1_1238]) ).
cnf(refute_1_1240,plain,
composition(skolemFOFtoCNF_X0_1,top) = join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),complement(join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),complement(composition(skolemFOFtoCNF_X0_1,top))))),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0_1,top),join(meet(composition(skolemFOFtoCNF_X0_1,top),complement(composition(complement(skolemFOFtoCNF_X0_1),top))),complement(join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),complement(composition(skolemFOFtoCNF_X0_1,top)))))) )],[refute_1_817,refute_1_1239]) ).
cnf(refute_1_1241,plain,
complement(meet(composition(complement(skolemFOFtoCNF_X0_1),top),composition(skolemFOFtoCNF_X0_1,top))) = complement(meet(composition(complement(skolemFOFtoCNF_X0_1),top),composition(skolemFOFtoCNF_X0_1,top))),
introduced(tautology,[refl,[$fot(complement(meet(composition(complement(skolemFOFtoCNF_X0_1),top),composition(skolemFOFtoCNF_X0_1,top))))]]) ).
cnf(refute_1_1242,plain,
( complement(meet(composition(complement(skolemFOFtoCNF_X0_1),top),composition(skolemFOFtoCNF_X0_1,top))) != complement(meet(composition(complement(skolemFOFtoCNF_X0_1),top),composition(skolemFOFtoCNF_X0_1,top)))
| meet(composition(complement(skolemFOFtoCNF_X0_1),top),composition(skolemFOFtoCNF_X0_1,top)) != meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top))
| complement(meet(composition(complement(skolemFOFtoCNF_X0_1),top),composition(skolemFOFtoCNF_X0_1,top))) = complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(composition(complement(skolemFOFtoCNF_X0_1),top),composition(skolemFOFtoCNF_X0_1,top))),complement(meet(composition(complement(skolemFOFtoCNF_X0_1),top),composition(skolemFOFtoCNF_X0_1,top)))) ),[1,0],$fot(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top)))]]) ).
cnf(refute_1_1243,plain,
( meet(composition(complement(skolemFOFtoCNF_X0_1),top),composition(skolemFOFtoCNF_X0_1,top)) != meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top))
| complement(meet(composition(complement(skolemFOFtoCNF_X0_1),top),composition(skolemFOFtoCNF_X0_1,top))) = complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top))) ),
inference(resolve,[$cnf( $equal(complement(meet(composition(complement(skolemFOFtoCNF_X0_1),top),composition(skolemFOFtoCNF_X0_1,top))),complement(meet(composition(complement(skolemFOFtoCNF_X0_1),top),composition(skolemFOFtoCNF_X0_1,top)))) )],[refute_1_1241,refute_1_1242]) ).
cnf(refute_1_1244,plain,
complement(meet(composition(complement(skolemFOFtoCNF_X0_1),top),composition(skolemFOFtoCNF_X0_1,top))) = complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top))),
inference(resolve,[$cnf( $equal(meet(composition(complement(skolemFOFtoCNF_X0_1),top),composition(skolemFOFtoCNF_X0_1,top)),meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top))) )],[refute_1_1211,refute_1_1243]) ).
cnf(refute_1_1245,plain,
join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),complement(composition(skolemFOFtoCNF_X0_1,top))) = complement(meet(composition(complement(skolemFOFtoCNF_X0_1),top),composition(skolemFOFtoCNF_X0_1,top))),
inference(subst,[],[refute_1_1119:[bind(X0,$fot(composition(complement(skolemFOFtoCNF_X0_1),top))),bind(X1,$fot(composition(skolemFOFtoCNF_X0_1,top)))]]) ).
cnf(refute_1_1246,plain,
( complement(meet(composition(complement(skolemFOFtoCNF_X0_1),top),composition(skolemFOFtoCNF_X0_1,top))) != complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top)))
| join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),complement(composition(skolemFOFtoCNF_X0_1,top))) != complement(meet(composition(complement(skolemFOFtoCNF_X0_1),top),composition(skolemFOFtoCNF_X0_1,top)))
| join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),complement(composition(skolemFOFtoCNF_X0_1,top))) = complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top))) ),
inference(subst,[],[refute_1_10:[bind(X,$fot(join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),complement(composition(skolemFOFtoCNF_X0_1,top))))),bind(Y,$fot(complement(meet(composition(complement(skolemFOFtoCNF_X0_1),top),composition(skolemFOFtoCNF_X0_1,top))))),bind(Z,$fot(complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top)))))]]) ).
cnf(refute_1_1247,plain,
( complement(meet(composition(complement(skolemFOFtoCNF_X0_1),top),composition(skolemFOFtoCNF_X0_1,top))) != complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top)))
| join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),complement(composition(skolemFOFtoCNF_X0_1,top))) = complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top))) ),
inference(resolve,[$cnf( $equal(join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),complement(composition(skolemFOFtoCNF_X0_1,top))),complement(meet(composition(complement(skolemFOFtoCNF_X0_1),top),composition(skolemFOFtoCNF_X0_1,top)))) )],[refute_1_1245,refute_1_1246]) ).
cnf(refute_1_1248,plain,
join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),complement(composition(skolemFOFtoCNF_X0_1,top))) = complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top))),
inference(resolve,[$cnf( $equal(complement(meet(composition(complement(skolemFOFtoCNF_X0_1),top),composition(skolemFOFtoCNF_X0_1,top))),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top)))) )],[refute_1_1244,refute_1_1247]) ).
cnf(refute_1_1249,plain,
meet(composition(complement(skolemFOFtoCNF_X0_1),top),join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),complement(composition(skolemFOFtoCNF_X0_1,top)))) = meet(composition(complement(skolemFOFtoCNF_X0_1),top),join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),complement(composition(skolemFOFtoCNF_X0_1,top)))),
introduced(tautology,[refl,[$fot(meet(composition(complement(skolemFOFtoCNF_X0_1),top),join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),complement(composition(skolemFOFtoCNF_X0_1,top)))))]]) ).
cnf(refute_1_1250,plain,
( join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),complement(composition(skolemFOFtoCNF_X0_1,top))) != complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top)))
| meet(composition(complement(skolemFOFtoCNF_X0_1),top),join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),complement(composition(skolemFOFtoCNF_X0_1,top)))) != meet(composition(complement(skolemFOFtoCNF_X0_1),top),join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),complement(composition(skolemFOFtoCNF_X0_1,top))))
| meet(composition(complement(skolemFOFtoCNF_X0_1),top),join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),complement(composition(skolemFOFtoCNF_X0_1,top)))) = meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(composition(complement(skolemFOFtoCNF_X0_1),top),join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),complement(composition(skolemFOFtoCNF_X0_1,top)))),meet(composition(complement(skolemFOFtoCNF_X0_1),top),join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),complement(composition(skolemFOFtoCNF_X0_1,top))))) ),[1,1],$fot(complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top))))]]) ).
cnf(refute_1_1251,plain,
( join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),complement(composition(skolemFOFtoCNF_X0_1,top))) != complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top)))
| meet(composition(complement(skolemFOFtoCNF_X0_1),top),join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),complement(composition(skolemFOFtoCNF_X0_1,top)))) = meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top)))) ),
inference(resolve,[$cnf( $equal(meet(composition(complement(skolemFOFtoCNF_X0_1),top),join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),complement(composition(skolemFOFtoCNF_X0_1,top)))),meet(composition(complement(skolemFOFtoCNF_X0_1),top),join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),complement(composition(skolemFOFtoCNF_X0_1,top))))) )],[refute_1_1249,refute_1_1250]) ).
cnf(refute_1_1252,plain,
meet(composition(complement(skolemFOFtoCNF_X0_1),top),join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),complement(composition(skolemFOFtoCNF_X0_1,top)))) = meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top)))),
inference(resolve,[$cnf( $equal(join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),complement(composition(skolemFOFtoCNF_X0_1,top))),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top)))) )],[refute_1_1248,refute_1_1251]) ).
cnf(refute_1_1253,plain,
complement(meet(composition(complement(skolemFOFtoCNF_X0_1),top),join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),complement(composition(skolemFOFtoCNF_X0_1,top))))) = complement(meet(composition(complement(skolemFOFtoCNF_X0_1),top),join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),complement(composition(skolemFOFtoCNF_X0_1,top))))),
introduced(tautology,[refl,[$fot(complement(meet(composition(complement(skolemFOFtoCNF_X0_1),top),join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),complement(composition(skolemFOFtoCNF_X0_1,top))))))]]) ).
cnf(refute_1_1254,plain,
( complement(meet(composition(complement(skolemFOFtoCNF_X0_1),top),join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),complement(composition(skolemFOFtoCNF_X0_1,top))))) != complement(meet(composition(complement(skolemFOFtoCNF_X0_1),top),join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),complement(composition(skolemFOFtoCNF_X0_1,top)))))
| meet(composition(complement(skolemFOFtoCNF_X0_1),top),join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),complement(composition(skolemFOFtoCNF_X0_1,top)))) != meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top))))
| complement(meet(composition(complement(skolemFOFtoCNF_X0_1),top),join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),complement(composition(skolemFOFtoCNF_X0_1,top))))) = complement(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(composition(complement(skolemFOFtoCNF_X0_1),top),join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),complement(composition(skolemFOFtoCNF_X0_1,top))))),complement(meet(composition(complement(skolemFOFtoCNF_X0_1),top),join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),complement(composition(skolemFOFtoCNF_X0_1,top)))))) ),[1,0],$fot(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top)))))]]) ).
cnf(refute_1_1255,plain,
( meet(composition(complement(skolemFOFtoCNF_X0_1),top),join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),complement(composition(skolemFOFtoCNF_X0_1,top)))) != meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top))))
| complement(meet(composition(complement(skolemFOFtoCNF_X0_1),top),join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),complement(composition(skolemFOFtoCNF_X0_1,top))))) = complement(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top))))) ),
inference(resolve,[$cnf( $equal(complement(meet(composition(complement(skolemFOFtoCNF_X0_1),top),join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),complement(composition(skolemFOFtoCNF_X0_1,top))))),complement(meet(composition(complement(skolemFOFtoCNF_X0_1),top),join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),complement(composition(skolemFOFtoCNF_X0_1,top)))))) )],[refute_1_1253,refute_1_1254]) ).
cnf(refute_1_1256,plain,
complement(meet(composition(complement(skolemFOFtoCNF_X0_1),top),join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),complement(composition(skolemFOFtoCNF_X0_1,top))))) = complement(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top))))),
inference(resolve,[$cnf( $equal(meet(composition(complement(skolemFOFtoCNF_X0_1),top),join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),complement(composition(skolemFOFtoCNF_X0_1,top)))),meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top))))) )],[refute_1_1252,refute_1_1255]) ).
cnf(refute_1_1257,plain,
join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),complement(join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),complement(composition(skolemFOFtoCNF_X0_1,top))))) = complement(meet(composition(complement(skolemFOFtoCNF_X0_1),top),join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),complement(composition(skolemFOFtoCNF_X0_1,top))))),
inference(subst,[],[refute_1_1119:[bind(X0,$fot(composition(complement(skolemFOFtoCNF_X0_1),top))),bind(X1,$fot(join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),complement(composition(skolemFOFtoCNF_X0_1,top)))))]]) ).
cnf(refute_1_1258,plain,
( complement(meet(composition(complement(skolemFOFtoCNF_X0_1),top),join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),complement(composition(skolemFOFtoCNF_X0_1,top))))) != complement(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top)))))
| join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),complement(join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),complement(composition(skolemFOFtoCNF_X0_1,top))))) != complement(meet(composition(complement(skolemFOFtoCNF_X0_1),top),join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),complement(composition(skolemFOFtoCNF_X0_1,top)))))
| join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),complement(join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),complement(composition(skolemFOFtoCNF_X0_1,top))))) = complement(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top))))) ),
inference(subst,[],[refute_1_10:[bind(X,$fot(join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),complement(join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),complement(composition(skolemFOFtoCNF_X0_1,top))))))),bind(Y,$fot(complement(meet(composition(complement(skolemFOFtoCNF_X0_1),top),join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),complement(composition(skolemFOFtoCNF_X0_1,top))))))),bind(Z,$fot(complement(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top)))))))]]) ).
cnf(refute_1_1259,plain,
( complement(meet(composition(complement(skolemFOFtoCNF_X0_1),top),join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),complement(composition(skolemFOFtoCNF_X0_1,top))))) != complement(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top)))))
| join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),complement(join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),complement(composition(skolemFOFtoCNF_X0_1,top))))) = complement(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top))))) ),
inference(resolve,[$cnf( $equal(join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),complement(join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),complement(composition(skolemFOFtoCNF_X0_1,top))))),complement(meet(composition(complement(skolemFOFtoCNF_X0_1),top),join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),complement(composition(skolemFOFtoCNF_X0_1,top)))))) )],[refute_1_1257,refute_1_1258]) ).
cnf(refute_1_1260,plain,
join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),complement(join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),complement(composition(skolemFOFtoCNF_X0_1,top))))) = complement(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top))))),
inference(resolve,[$cnf( $equal(complement(meet(composition(complement(skolemFOFtoCNF_X0_1),top),join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),complement(composition(skolemFOFtoCNF_X0_1,top))))),complement(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top)))))) )],[refute_1_1256,refute_1_1259]) ).
cnf(refute_1_1261,plain,
( composition(skolemFOFtoCNF_X0_1,top) != join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),complement(join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),complement(composition(skolemFOFtoCNF_X0_1,top)))))
| join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),complement(join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),complement(composition(skolemFOFtoCNF_X0_1,top))))) != complement(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top)))))
| composition(skolemFOFtoCNF_X0_1,top) = complement(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(skolemFOFtoCNF_X0_1,top),complement(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top)))))) ),[0],$fot(join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),complement(join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),complement(composition(skolemFOFtoCNF_X0_1,top))))))]]) ).
cnf(refute_1_1262,plain,
( composition(skolemFOFtoCNF_X0_1,top) != join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),complement(join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),complement(composition(skolemFOFtoCNF_X0_1,top)))))
| composition(skolemFOFtoCNF_X0_1,top) = complement(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top))))) ),
inference(resolve,[$cnf( $equal(join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),complement(join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),complement(composition(skolemFOFtoCNF_X0_1,top))))),complement(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top)))))) )],[refute_1_1260,refute_1_1261]) ).
cnf(refute_1_1263,plain,
composition(skolemFOFtoCNF_X0_1,top) = complement(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top))))),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0_1,top),join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),complement(join(complement(composition(complement(skolemFOFtoCNF_X0_1),top)),complement(composition(skolemFOFtoCNF_X0_1,top)))))) )],[refute_1_1240,refute_1_1262]) ).
cnf(refute_1_1264,plain,
( composition(skolemFOFtoCNF_X0_1,top) != complement(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top)))))
| complement(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top))))) = composition(skolemFOFtoCNF_X0_1,top) ),
inference(subst,[],[refute_1_5:[bind(X,$fot(composition(skolemFOFtoCNF_X0_1,top))),bind(Y,$fot(complement(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top)))))))]]) ).
cnf(refute_1_1265,plain,
complement(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top))))) = composition(skolemFOFtoCNF_X0_1,top),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0_1,top),complement(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top)))))) )],[refute_1_1263,refute_1_1264]) ).
cnf(refute_1_1266,plain,
( complement(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top))))) != composition(skolemFOFtoCNF_X0_1,top)
| join(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top)))),composition(complement(composition(complement(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top))))),top)),top)) != meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top))))
| join(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top)))),composition(complement(composition(composition(skolemFOFtoCNF_X0_1,top),top)),top)) = meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top)))),composition(complement(composition(complement(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top))))),top)),top)),meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top))))) ),[0,1,0,0,0],$fot(composition(skolemFOFtoCNF_X0_1,top))]]) ).
cnf(refute_1_1267,plain,
( join(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top)))),composition(complement(composition(complement(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top))))),top)),top)) != meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top))))
| join(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top)))),composition(complement(composition(composition(skolemFOFtoCNF_X0_1,top),top)),top)) = meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top)))) ),
inference(resolve,[$cnf( $equal(complement(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top))))),composition(skolemFOFtoCNF_X0_1,top)) )],[refute_1_1265,refute_1_1266]) ).
cnf(refute_1_1268,plain,
join(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top)))),composition(complement(composition(composition(skolemFOFtoCNF_X0_1,top),top)),top)) = meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top)))),
inference(resolve,[$cnf( $equal(join(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top)))),composition(complement(composition(complement(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top))))),top)),top)),meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top))))) )],[refute_1_809,refute_1_1267]) ).
cnf(refute_1_1269,plain,
complement(converse(complement(composition(top,top)))) = join(complement(join(converse(complement(composition(top,top))),meet(complement(composition(top,top)),complement(converse(complement(composition(top,top))))))),meet(meet(complement(composition(top,top)),complement(converse(complement(composition(top,top))))),complement(converse(complement(composition(top,top)))))),
inference(subst,[],[refute_1_1046:[bind(X_387,$fot(converse(complement(composition(top,top))))),bind(X_409,$fot(meet(complement(composition(top,top)),complement(converse(complement(composition(top,top)))))))]]) ).
cnf(refute_1_1270,plain,
complement(composition(top,top)) = join(complement(join(composition(top,top),complement(converse(complement(composition(top,top)))))),meet(complement(converse(complement(composition(top,top)))),complement(composition(top,top)))),
inference(subst,[],[refute_1_1046:[bind(X_387,$fot(composition(top,top))),bind(X_409,$fot(complement(converse(complement(composition(top,top))))))]]) ).
cnf(refute_1_1271,plain,
join(complement(converse(complement(composition(top,top)))),composition(top,complement(converse(composition(complement(composition(top,top)),top))))) = complement(converse(complement(composition(top,top)))),
inference(subst,[],[refute_1_42:[bind(X_354,$fot(complement(composition(top,top)))),bind(X_355,$fot(top))]]) ).
cnf(refute_1_1272,plain,
join(complement(converse(top)),composition(complement(composition(top,top)),complement(converse(composition(top,complement(composition(top,top))))))) = complement(converse(top)),
inference(subst,[],[refute_1_42:[bind(X_354,$fot(top)),bind(X_355,$fot(complement(composition(top,top))))]]) ).
cnf(refute_1_1273,plain,
composition(converse(top),complement(composition(top,top))) = zero,
inference(subst,[],[refute_1_715:[bind(X0,$fot(top))]]) ).
cnf(refute_1_1274,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_1275,plain,
( composition(converse(top),complement(composition(top,top))) != zero
| composition(top,complement(composition(top,top))) = zero ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_1_618,refute_1_1274]) ).
cnf(refute_1_1276,plain,
composition(top,complement(composition(top,top))) = zero,
inference(resolve,[$cnf( $equal(composition(converse(top),complement(composition(top,top))),zero) )],[refute_1_1273,refute_1_1275]) ).
cnf(refute_1_1277,plain,
( composition(top,complement(composition(top,top))) != zero
| join(complement(converse(top)),composition(complement(composition(top,top)),complement(converse(composition(top,complement(composition(top,top))))))) != complement(converse(top))
| join(complement(converse(top)),composition(complement(composition(top,top)),complement(converse(zero)))) = complement(converse(top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(top)),composition(complement(composition(top,top)),complement(converse(composition(top,complement(composition(top,top))))))),complement(converse(top))) ),[0,1,1,0,0],$fot(zero)]]) ).
cnf(refute_1_1278,plain,
( join(complement(converse(top)),composition(complement(composition(top,top)),complement(converse(composition(top,complement(composition(top,top))))))) != complement(converse(top))
| join(complement(converse(top)),composition(complement(composition(top,top)),complement(converse(zero)))) = complement(converse(top)) ),
inference(resolve,[$cnf( $equal(composition(top,complement(composition(top,top))),zero) )],[refute_1_1276,refute_1_1277]) ).
cnf(refute_1_1279,plain,
join(complement(converse(top)),composition(complement(composition(top,top)),complement(converse(zero)))) = complement(converse(top)),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),composition(complement(composition(top,top)),complement(converse(composition(top,complement(composition(top,top))))))),complement(converse(top))) )],[refute_1_1272,refute_1_1278]) ).
cnf(refute_1_1280,plain,
join(zero,composition(complement(composition(top,top)),top)) = composition(complement(composition(top,top)),top),
inference(subst,[],[refute_1_711:[bind(X_387,$fot(composition(complement(composition(top,top)),top)))]]) ).
cnf(refute_1_1281,plain,
composition(complement(composition(top,top)),complement(converse(zero))) = composition(complement(composition(top,top)),complement(converse(zero))),
introduced(tautology,[refl,[$fot(composition(complement(composition(top,top)),complement(converse(zero))))]]) ).
cnf(refute_1_1282,plain,
( complement(converse(zero)) != top
| composition(complement(composition(top,top)),complement(converse(zero))) != composition(complement(composition(top,top)),complement(converse(zero)))
| composition(complement(composition(top,top)),complement(converse(zero))) = composition(complement(composition(top,top)),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(composition(top,top)),complement(converse(zero))),composition(complement(composition(top,top)),complement(converse(zero)))) ),[1,1],$fot(top)]]) ).
cnf(refute_1_1283,plain,
( complement(converse(zero)) != top
| composition(complement(composition(top,top)),complement(converse(zero))) = composition(complement(composition(top,top)),top) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,top)),complement(converse(zero))),composition(complement(composition(top,top)),complement(converse(zero)))) )],[refute_1_1281,refute_1_1282]) ).
cnf(refute_1_1284,plain,
composition(complement(composition(top,top)),complement(converse(zero))) = composition(complement(composition(top,top)),top),
inference(resolve,[$cnf( $equal(complement(converse(zero)),top) )],[refute_1_775,refute_1_1283]) ).
cnf(refute_1_1285,plain,
join(zero,composition(complement(composition(top,top)),complement(converse(zero)))) = join(zero,composition(complement(composition(top,top)),complement(converse(zero)))),
introduced(tautology,[refl,[$fot(join(zero,composition(complement(composition(top,top)),complement(converse(zero)))))]]) ).
cnf(refute_1_1286,plain,
( composition(complement(composition(top,top)),complement(converse(zero))) != composition(complement(composition(top,top)),top)
| join(zero,composition(complement(composition(top,top)),complement(converse(zero)))) != join(zero,composition(complement(composition(top,top)),complement(converse(zero))))
| join(zero,composition(complement(composition(top,top)),complement(converse(zero)))) = join(zero,composition(complement(composition(top,top)),top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,composition(complement(composition(top,top)),complement(converse(zero)))),join(zero,composition(complement(composition(top,top)),complement(converse(zero))))) ),[1,1],$fot(composition(complement(composition(top,top)),top))]]) ).
cnf(refute_1_1287,plain,
( composition(complement(composition(top,top)),complement(converse(zero))) != composition(complement(composition(top,top)),top)
| join(zero,composition(complement(composition(top,top)),complement(converse(zero)))) = join(zero,composition(complement(composition(top,top)),top)) ),
inference(resolve,[$cnf( $equal(join(zero,composition(complement(composition(top,top)),complement(converse(zero)))),join(zero,composition(complement(composition(top,top)),complement(converse(zero))))) )],[refute_1_1285,refute_1_1286]) ).
cnf(refute_1_1288,plain,
join(zero,composition(complement(composition(top,top)),complement(converse(zero)))) = join(zero,composition(complement(composition(top,top)),top)),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,top)),complement(converse(zero))),composition(complement(composition(top,top)),top)) )],[refute_1_1284,refute_1_1287]) ).
cnf(refute_1_1289,plain,
complement(converse(top)) = complement(converse(top)),
introduced(tautology,[refl,[$fot(complement(converse(top)))]]) ).
cnf(refute_1_1290,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_1291,plain,
( converse(top) != top
| complement(converse(top)) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(converse(top)),complement(converse(top))) )],[refute_1_1289,refute_1_1290]) ).
cnf(refute_1_1292,plain,
complement(converse(top)) = complement(top),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_1_618,refute_1_1291]) ).
cnf(refute_1_1293,plain,
( complement(converse(top)) != complement(top)
| complement(top) != zero
| complement(converse(top)) = zero ),
inference(subst,[],[refute_1_10:[bind(X,$fot(complement(converse(top)))),bind(Y,$fot(complement(top))),bind(Z,$fot(zero))]]) ).
cnf(refute_1_1294,plain,
( complement(top) != zero
| complement(converse(top)) = zero ),
inference(resolve,[$cnf( $equal(complement(converse(top)),complement(top)) )],[refute_1_1292,refute_1_1293]) ).
cnf(refute_1_1295,plain,
complement(converse(top)) = zero,
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_1_74,refute_1_1294]) ).
cnf(refute_1_1296,plain,
join(complement(converse(top)),composition(complement(composition(top,top)),complement(converse(zero)))) = join(complement(converse(top)),composition(complement(composition(top,top)),complement(converse(zero)))),
introduced(tautology,[refl,[$fot(join(complement(converse(top)),composition(complement(composition(top,top)),complement(converse(zero)))))]]) ).
cnf(refute_1_1297,plain,
( complement(converse(top)) != zero
| join(complement(converse(top)),composition(complement(composition(top,top)),complement(converse(zero)))) != join(complement(converse(top)),composition(complement(composition(top,top)),complement(converse(zero))))
| join(complement(converse(top)),composition(complement(composition(top,top)),complement(converse(zero)))) = join(zero,composition(complement(composition(top,top)),complement(converse(zero)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(top)),composition(complement(composition(top,top)),complement(converse(zero)))),join(complement(converse(top)),composition(complement(composition(top,top)),complement(converse(zero))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_1_1298,plain,
( complement(converse(top)) != zero
| join(complement(converse(top)),composition(complement(composition(top,top)),complement(converse(zero)))) = join(zero,composition(complement(composition(top,top)),complement(converse(zero)))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),composition(complement(composition(top,top)),complement(converse(zero)))),join(complement(converse(top)),composition(complement(composition(top,top)),complement(converse(zero))))) )],[refute_1_1296,refute_1_1297]) ).
cnf(refute_1_1299,plain,
join(complement(converse(top)),composition(complement(composition(top,top)),complement(converse(zero)))) = join(zero,composition(complement(composition(top,top)),complement(converse(zero)))),
inference(resolve,[$cnf( $equal(complement(converse(top)),zero) )],[refute_1_1295,refute_1_1298]) ).
cnf(refute_1_1300,plain,
( join(complement(converse(top)),composition(complement(composition(top,top)),complement(converse(zero)))) != join(zero,composition(complement(composition(top,top)),complement(converse(zero))))
| join(zero,composition(complement(composition(top,top)),complement(converse(zero)))) != join(zero,composition(complement(composition(top,top)),top))
| join(complement(converse(top)),composition(complement(composition(top,top)),complement(converse(zero)))) = join(zero,composition(complement(composition(top,top)),top)) ),
inference(subst,[],[refute_1_10:[bind(X,$fot(join(complement(converse(top)),composition(complement(composition(top,top)),complement(converse(zero)))))),bind(Y,$fot(join(zero,composition(complement(composition(top,top)),complement(converse(zero)))))),bind(Z,$fot(join(zero,composition(complement(composition(top,top)),top))))]]) ).
cnf(refute_1_1301,plain,
( join(zero,composition(complement(composition(top,top)),complement(converse(zero)))) != join(zero,composition(complement(composition(top,top)),top))
| join(complement(converse(top)),composition(complement(composition(top,top)),complement(converse(zero)))) = join(zero,composition(complement(composition(top,top)),top)) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),composition(complement(composition(top,top)),complement(converse(zero)))),join(zero,composition(complement(composition(top,top)),complement(converse(zero))))) )],[refute_1_1299,refute_1_1300]) ).
cnf(refute_1_1302,plain,
join(complement(converse(top)),composition(complement(composition(top,top)),complement(converse(zero)))) = join(zero,composition(complement(composition(top,top)),top)),
inference(resolve,[$cnf( $equal(join(zero,composition(complement(composition(top,top)),complement(converse(zero)))),join(zero,composition(complement(composition(top,top)),top))) )],[refute_1_1288,refute_1_1301]) ).
cnf(refute_1_1303,plain,
( join(complement(converse(top)),composition(complement(composition(top,top)),complement(converse(zero)))) != join(zero,composition(complement(composition(top,top)),top))
| join(zero,composition(complement(composition(top,top)),top)) != composition(complement(composition(top,top)),top)
| join(complement(converse(top)),composition(complement(composition(top,top)),complement(converse(zero)))) = composition(complement(composition(top,top)),top) ),
inference(subst,[],[refute_1_10:[bind(X,$fot(join(complement(converse(top)),composition(complement(composition(top,top)),complement(converse(zero)))))),bind(Y,$fot(join(zero,composition(complement(composition(top,top)),top)))),bind(Z,$fot(composition(complement(composition(top,top)),top)))]]) ).
cnf(refute_1_1304,plain,
( join(zero,composition(complement(composition(top,top)),top)) != composition(complement(composition(top,top)),top)
| join(complement(converse(top)),composition(complement(composition(top,top)),complement(converse(zero)))) = composition(complement(composition(top,top)),top) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),composition(complement(composition(top,top)),complement(converse(zero)))),join(zero,composition(complement(composition(top,top)),top))) )],[refute_1_1302,refute_1_1303]) ).
cnf(refute_1_1305,plain,
join(complement(converse(top)),composition(complement(composition(top,top)),complement(converse(zero)))) = composition(complement(composition(top,top)),top),
inference(resolve,[$cnf( $equal(join(zero,composition(complement(composition(top,top)),top)),composition(complement(composition(top,top)),top)) )],[refute_1_1280,refute_1_1304]) ).
cnf(refute_1_1306,plain,
( join(complement(converse(top)),composition(complement(composition(top,top)),complement(converse(zero)))) != complement(converse(top))
| join(complement(converse(top)),composition(complement(composition(top,top)),complement(converse(zero)))) != composition(complement(composition(top,top)),top)
| composition(complement(composition(top,top)),top) = complement(converse(top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(top)),composition(complement(composition(top,top)),complement(converse(zero)))),complement(converse(top))) ),[0],$fot(composition(complement(composition(top,top)),top))]]) ).
cnf(refute_1_1307,plain,
( join(complement(converse(top)),composition(complement(composition(top,top)),complement(converse(zero)))) != complement(converse(top))
| composition(complement(composition(top,top)),top) = complement(converse(top)) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),composition(complement(composition(top,top)),complement(converse(zero)))),composition(complement(composition(top,top)),top)) )],[refute_1_1305,refute_1_1306]) ).
cnf(refute_1_1308,plain,
( complement(converse(top)) != zero
| composition(complement(composition(top,top)),top) != complement(converse(top))
| composition(complement(composition(top,top)),top) = zero ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(composition(top,top)),top),complement(converse(top))) ),[1],$fot(zero)]]) ).
cnf(refute_1_1309,plain,
( composition(complement(composition(top,top)),top) != complement(converse(top))
| composition(complement(composition(top,top)),top) = zero ),
inference(resolve,[$cnf( $equal(complement(converse(top)),zero) )],[refute_1_1295,refute_1_1308]) ).
cnf(refute_1_1310,plain,
( join(complement(converse(top)),composition(complement(composition(top,top)),complement(converse(zero)))) != complement(converse(top))
| composition(complement(composition(top,top)),top) = zero ),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,top)),top),complement(converse(top))) )],[refute_1_1307,refute_1_1309]) ).
cnf(refute_1_1311,plain,
composition(complement(composition(top,top)),top) = zero,
inference(resolve,[$cnf( $equal(join(complement(converse(top)),composition(complement(composition(top,top)),complement(converse(zero)))),complement(converse(top))) )],[refute_1_1279,refute_1_1310]) ).
cnf(refute_1_1312,plain,
( composition(complement(composition(top,top)),top) != zero
| join(complement(converse(complement(composition(top,top)))),composition(top,complement(converse(composition(complement(composition(top,top)),top))))) != complement(converse(complement(composition(top,top))))
| join(complement(converse(complement(composition(top,top)))),composition(top,complement(converse(zero)))) = complement(converse(complement(composition(top,top)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(complement(composition(top,top)))),composition(top,complement(converse(composition(complement(composition(top,top)),top))))),complement(converse(complement(composition(top,top))))) ),[0,1,1,0,0],$fot(zero)]]) ).
cnf(refute_1_1313,plain,
( join(complement(converse(complement(composition(top,top)))),composition(top,complement(converse(composition(complement(composition(top,top)),top))))) != complement(converse(complement(composition(top,top))))
| join(complement(converse(complement(composition(top,top)))),composition(top,complement(converse(zero)))) = complement(converse(complement(composition(top,top)))) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,top)),top),zero) )],[refute_1_1311,refute_1_1312]) ).
cnf(refute_1_1314,plain,
join(complement(converse(complement(composition(top,top)))),composition(top,complement(converse(zero)))) = complement(converse(complement(composition(top,top)))),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(composition(top,top)))),composition(top,complement(converse(composition(complement(composition(top,top)),top))))),complement(converse(complement(composition(top,top))))) )],[refute_1_1271,refute_1_1313]) ).
cnf(refute_1_1315,plain,
composition(top,complement(converse(zero))) = composition(top,complement(converse(zero))),
introduced(tautology,[refl,[$fot(composition(top,complement(converse(zero))))]]) ).
cnf(refute_1_1316,plain,
( complement(converse(zero)) != top
| composition(top,complement(converse(zero))) != composition(top,complement(converse(zero)))
| composition(top,complement(converse(zero))) = composition(top,top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,complement(converse(zero))),composition(top,complement(converse(zero)))) ),[1,1],$fot(top)]]) ).
cnf(refute_1_1317,plain,
( complement(converse(zero)) != top
| composition(top,complement(converse(zero))) = composition(top,top) ),
inference(resolve,[$cnf( $equal(composition(top,complement(converse(zero))),composition(top,complement(converse(zero)))) )],[refute_1_1315,refute_1_1316]) ).
cnf(refute_1_1318,plain,
composition(top,complement(converse(zero))) = composition(top,top),
inference(resolve,[$cnf( $equal(complement(converse(zero)),top) )],[refute_1_775,refute_1_1317]) ).
cnf(refute_1_1319,plain,
join(composition(top,complement(converse(zero))),complement(converse(complement(composition(top,top))))) = join(composition(top,complement(converse(zero))),complement(converse(complement(composition(top,top))))),
introduced(tautology,[refl,[$fot(join(composition(top,complement(converse(zero))),complement(converse(complement(composition(top,top))))))]]) ).
cnf(refute_1_1320,plain,
( composition(top,complement(converse(zero))) != composition(top,top)
| join(composition(top,complement(converse(zero))),complement(converse(complement(composition(top,top))))) != join(composition(top,complement(converse(zero))),complement(converse(complement(composition(top,top)))))
| join(composition(top,complement(converse(zero))),complement(converse(complement(composition(top,top))))) = join(composition(top,top),complement(converse(complement(composition(top,top))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(top,complement(converse(zero))),complement(converse(complement(composition(top,top))))),join(composition(top,complement(converse(zero))),complement(converse(complement(composition(top,top)))))) ),[1,0],$fot(composition(top,top))]]) ).
cnf(refute_1_1321,plain,
( composition(top,complement(converse(zero))) != composition(top,top)
| join(composition(top,complement(converse(zero))),complement(converse(complement(composition(top,top))))) = join(composition(top,top),complement(converse(complement(composition(top,top))))) ),
inference(resolve,[$cnf( $equal(join(composition(top,complement(converse(zero))),complement(converse(complement(composition(top,top))))),join(composition(top,complement(converse(zero))),complement(converse(complement(composition(top,top)))))) )],[refute_1_1319,refute_1_1320]) ).
cnf(refute_1_1322,plain,
join(composition(top,complement(converse(zero))),complement(converse(complement(composition(top,top))))) = join(composition(top,top),complement(converse(complement(composition(top,top))))),
inference(resolve,[$cnf( $equal(composition(top,complement(converse(zero))),composition(top,top)) )],[refute_1_1318,refute_1_1321]) ).
cnf(refute_1_1323,plain,
join(complement(converse(complement(composition(top,top)))),composition(top,complement(converse(zero)))) = join(composition(top,complement(converse(zero))),complement(converse(complement(composition(top,top))))),
inference(subst,[],[refute_1_7:[bind(X0,$fot(composition(top,complement(converse(zero))))),bind(X1,$fot(complement(converse(complement(composition(top,top))))))]]) ).
cnf(refute_1_1324,plain,
( join(complement(converse(complement(composition(top,top)))),composition(top,complement(converse(zero)))) != join(composition(top,complement(converse(zero))),complement(converse(complement(composition(top,top)))))
| join(composition(top,complement(converse(zero))),complement(converse(complement(composition(top,top))))) != join(composition(top,top),complement(converse(complement(composition(top,top)))))
| join(complement(converse(complement(composition(top,top)))),composition(top,complement(converse(zero)))) = join(composition(top,top),complement(converse(complement(composition(top,top))))) ),
inference(subst,[],[refute_1_10:[bind(X,$fot(join(complement(converse(complement(composition(top,top)))),composition(top,complement(converse(zero)))))),bind(Y,$fot(join(composition(top,complement(converse(zero))),complement(converse(complement(composition(top,top))))))),bind(Z,$fot(join(composition(top,top),complement(converse(complement(composition(top,top)))))))]]) ).
cnf(refute_1_1325,plain,
( join(composition(top,complement(converse(zero))),complement(converse(complement(composition(top,top))))) != join(composition(top,top),complement(converse(complement(composition(top,top)))))
| join(complement(converse(complement(composition(top,top)))),composition(top,complement(converse(zero)))) = join(composition(top,top),complement(converse(complement(composition(top,top))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(composition(top,top)))),composition(top,complement(converse(zero)))),join(composition(top,complement(converse(zero))),complement(converse(complement(composition(top,top)))))) )],[refute_1_1323,refute_1_1324]) ).
cnf(refute_1_1326,plain,
join(complement(converse(complement(composition(top,top)))),composition(top,complement(converse(zero)))) = join(composition(top,top),complement(converse(complement(composition(top,top))))),
inference(resolve,[$cnf( $equal(join(composition(top,complement(converse(zero))),complement(converse(complement(composition(top,top))))),join(composition(top,top),complement(converse(complement(composition(top,top)))))) )],[refute_1_1322,refute_1_1325]) ).
cnf(refute_1_1327,plain,
( join(complement(converse(complement(composition(top,top)))),composition(top,complement(converse(zero)))) != complement(converse(complement(composition(top,top))))
| join(complement(converse(complement(composition(top,top)))),composition(top,complement(converse(zero)))) != join(composition(top,top),complement(converse(complement(composition(top,top)))))
| join(composition(top,top),complement(converse(complement(composition(top,top))))) = complement(converse(complement(composition(top,top)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(complement(composition(top,top)))),composition(top,complement(converse(zero)))),complement(converse(complement(composition(top,top))))) ),[0],$fot(join(composition(top,top),complement(converse(complement(composition(top,top))))))]]) ).
cnf(refute_1_1328,plain,
( join(complement(converse(complement(composition(top,top)))),composition(top,complement(converse(zero)))) != complement(converse(complement(composition(top,top))))
| join(composition(top,top),complement(converse(complement(composition(top,top))))) = complement(converse(complement(composition(top,top)))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(composition(top,top)))),composition(top,complement(converse(zero)))),join(composition(top,top),complement(converse(complement(composition(top,top)))))) )],[refute_1_1326,refute_1_1327]) ).
cnf(refute_1_1329,plain,
join(composition(top,top),complement(converse(complement(composition(top,top))))) = complement(converse(complement(composition(top,top)))),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(composition(top,top)))),composition(top,complement(converse(zero)))),complement(converse(complement(composition(top,top))))) )],[refute_1_1314,refute_1_1328]) ).
cnf(refute_1_1330,plain,
( complement(composition(top,top)) != join(complement(join(composition(top,top),complement(converse(complement(composition(top,top)))))),meet(complement(converse(complement(composition(top,top)))),complement(composition(top,top))))
| join(composition(top,top),complement(converse(complement(composition(top,top))))) != complement(converse(complement(composition(top,top))))
| complement(composition(top,top)) = join(complement(complement(converse(complement(composition(top,top))))),meet(complement(converse(complement(composition(top,top)))),complement(composition(top,top)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(top,top)),join(complement(join(composition(top,top),complement(converse(complement(composition(top,top)))))),meet(complement(converse(complement(composition(top,top)))),complement(composition(top,top))))) ),[1,0,0],$fot(complement(converse(complement(composition(top,top)))))]]) ).
cnf(refute_1_1331,plain,
( complement(composition(top,top)) != join(complement(join(composition(top,top),complement(converse(complement(composition(top,top)))))),meet(complement(converse(complement(composition(top,top)))),complement(composition(top,top))))
| complement(composition(top,top)) = join(complement(complement(converse(complement(composition(top,top))))),meet(complement(converse(complement(composition(top,top)))),complement(composition(top,top)))) ),
inference(resolve,[$cnf( $equal(join(composition(top,top),complement(converse(complement(composition(top,top))))),complement(converse(complement(composition(top,top))))) )],[refute_1_1329,refute_1_1330]) ).
cnf(refute_1_1332,plain,
complement(composition(top,top)) = join(complement(complement(converse(complement(composition(top,top))))),meet(complement(converse(complement(composition(top,top)))),complement(composition(top,top)))),
inference(resolve,[$cnf( $equal(complement(composition(top,top)),join(complement(join(composition(top,top),complement(converse(complement(composition(top,top)))))),meet(complement(converse(complement(composition(top,top)))),complement(composition(top,top))))) )],[refute_1_1270,refute_1_1331]) ).
cnf(refute_1_1333,plain,
meet(complement(converse(complement(composition(top,top)))),complement(composition(top,top))) = meet(complement(composition(top,top)),complement(converse(complement(composition(top,top))))),
inference(subst,[],[refute_1_850:[bind(X_348,$fot(complement(composition(top,top)))),bind(X_349,$fot(complement(converse(complement(composition(top,top))))))]]) ).
cnf(refute_1_1334,plain,
join(converse(complement(composition(top,top))),meet(complement(converse(complement(composition(top,top)))),complement(composition(top,top)))) = join(converse(complement(composition(top,top))),meet(complement(converse(complement(composition(top,top)))),complement(composition(top,top)))),
introduced(tautology,[refl,[$fot(join(converse(complement(composition(top,top))),meet(complement(converse(complement(composition(top,top)))),complement(composition(top,top)))))]]) ).
cnf(refute_1_1335,plain,
( join(converse(complement(composition(top,top))),meet(complement(converse(complement(composition(top,top)))),complement(composition(top,top)))) != join(converse(complement(composition(top,top))),meet(complement(converse(complement(composition(top,top)))),complement(composition(top,top))))
| meet(complement(converse(complement(composition(top,top)))),complement(composition(top,top))) != meet(complement(composition(top,top)),complement(converse(complement(composition(top,top)))))
| join(converse(complement(composition(top,top))),meet(complement(converse(complement(composition(top,top)))),complement(composition(top,top)))) = join(converse(complement(composition(top,top))),meet(complement(composition(top,top)),complement(converse(complement(composition(top,top)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(complement(composition(top,top))),meet(complement(converse(complement(composition(top,top)))),complement(composition(top,top)))),join(converse(complement(composition(top,top))),meet(complement(converse(complement(composition(top,top)))),complement(composition(top,top))))) ),[1,1],$fot(meet(complement(composition(top,top)),complement(converse(complement(composition(top,top))))))]]) ).
cnf(refute_1_1336,plain,
( meet(complement(converse(complement(composition(top,top)))),complement(composition(top,top))) != meet(complement(composition(top,top)),complement(converse(complement(composition(top,top)))))
| join(converse(complement(composition(top,top))),meet(complement(converse(complement(composition(top,top)))),complement(composition(top,top)))) = join(converse(complement(composition(top,top))),meet(complement(composition(top,top)),complement(converse(complement(composition(top,top)))))) ),
inference(resolve,[$cnf( $equal(join(converse(complement(composition(top,top))),meet(complement(converse(complement(composition(top,top)))),complement(composition(top,top)))),join(converse(complement(composition(top,top))),meet(complement(converse(complement(composition(top,top)))),complement(composition(top,top))))) )],[refute_1_1334,refute_1_1335]) ).
cnf(refute_1_1337,plain,
join(converse(complement(composition(top,top))),meet(complement(converse(complement(composition(top,top)))),complement(composition(top,top)))) = join(converse(complement(composition(top,top))),meet(complement(composition(top,top)),complement(converse(complement(composition(top,top)))))),
inference(resolve,[$cnf( $equal(meet(complement(converse(complement(composition(top,top)))),complement(composition(top,top))),meet(complement(composition(top,top)),complement(converse(complement(composition(top,top)))))) )],[refute_1_1333,refute_1_1336]) ).
cnf(refute_1_1338,plain,
complement(complement(converse(complement(composition(top,top))))) = converse(complement(composition(top,top))),
inference(subst,[],[refute_1_690:[bind(X_387,$fot(converse(complement(composition(top,top)))))]]) ).
cnf(refute_1_1339,plain,
join(complement(complement(converse(complement(composition(top,top))))),meet(complement(converse(complement(composition(top,top)))),complement(composition(top,top)))) = join(complement(complement(converse(complement(composition(top,top))))),meet(complement(converse(complement(composition(top,top)))),complement(composition(top,top)))),
introduced(tautology,[refl,[$fot(join(complement(complement(converse(complement(composition(top,top))))),meet(complement(converse(complement(composition(top,top)))),complement(composition(top,top)))))]]) ).
cnf(refute_1_1340,plain,
( complement(complement(converse(complement(composition(top,top))))) != converse(complement(composition(top,top)))
| join(complement(complement(converse(complement(composition(top,top))))),meet(complement(converse(complement(composition(top,top)))),complement(composition(top,top)))) != join(complement(complement(converse(complement(composition(top,top))))),meet(complement(converse(complement(composition(top,top)))),complement(composition(top,top))))
| join(complement(complement(converse(complement(composition(top,top))))),meet(complement(converse(complement(composition(top,top)))),complement(composition(top,top)))) = join(converse(complement(composition(top,top))),meet(complement(converse(complement(composition(top,top)))),complement(composition(top,top)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(converse(complement(composition(top,top))))),meet(complement(converse(complement(composition(top,top)))),complement(composition(top,top)))),join(complement(complement(converse(complement(composition(top,top))))),meet(complement(converse(complement(composition(top,top)))),complement(composition(top,top))))) ),[1,0],$fot(converse(complement(composition(top,top))))]]) ).
cnf(refute_1_1341,plain,
( complement(complement(converse(complement(composition(top,top))))) != converse(complement(composition(top,top)))
| join(complement(complement(converse(complement(composition(top,top))))),meet(complement(converse(complement(composition(top,top)))),complement(composition(top,top)))) = join(converse(complement(composition(top,top))),meet(complement(converse(complement(composition(top,top)))),complement(composition(top,top)))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(converse(complement(composition(top,top))))),meet(complement(converse(complement(composition(top,top)))),complement(composition(top,top)))),join(complement(complement(converse(complement(composition(top,top))))),meet(complement(converse(complement(composition(top,top)))),complement(composition(top,top))))) )],[refute_1_1339,refute_1_1340]) ).
cnf(refute_1_1342,plain,
join(complement(complement(converse(complement(composition(top,top))))),meet(complement(converse(complement(composition(top,top)))),complement(composition(top,top)))) = join(converse(complement(composition(top,top))),meet(complement(converse(complement(composition(top,top)))),complement(composition(top,top)))),
inference(resolve,[$cnf( $equal(complement(complement(converse(complement(composition(top,top))))),converse(complement(composition(top,top)))) )],[refute_1_1338,refute_1_1341]) ).
cnf(refute_1_1343,plain,
( join(complement(complement(converse(complement(composition(top,top))))),meet(complement(converse(complement(composition(top,top)))),complement(composition(top,top)))) != join(converse(complement(composition(top,top))),meet(complement(converse(complement(composition(top,top)))),complement(composition(top,top))))
| join(converse(complement(composition(top,top))),meet(complement(converse(complement(composition(top,top)))),complement(composition(top,top)))) != join(converse(complement(composition(top,top))),meet(complement(composition(top,top)),complement(converse(complement(composition(top,top))))))
| join(complement(complement(converse(complement(composition(top,top))))),meet(complement(converse(complement(composition(top,top)))),complement(composition(top,top)))) = join(converse(complement(composition(top,top))),meet(complement(composition(top,top)),complement(converse(complement(composition(top,top)))))) ),
inference(subst,[],[refute_1_10:[bind(X,$fot(join(complement(complement(converse(complement(composition(top,top))))),meet(complement(converse(complement(composition(top,top)))),complement(composition(top,top)))))),bind(Y,$fot(join(converse(complement(composition(top,top))),meet(complement(converse(complement(composition(top,top)))),complement(composition(top,top)))))),bind(Z,$fot(join(converse(complement(composition(top,top))),meet(complement(composition(top,top)),complement(converse(complement(composition(top,top))))))))]]) ).
cnf(refute_1_1344,plain,
( join(converse(complement(composition(top,top))),meet(complement(converse(complement(composition(top,top)))),complement(composition(top,top)))) != join(converse(complement(composition(top,top))),meet(complement(composition(top,top)),complement(converse(complement(composition(top,top))))))
| join(complement(complement(converse(complement(composition(top,top))))),meet(complement(converse(complement(composition(top,top)))),complement(composition(top,top)))) = join(converse(complement(composition(top,top))),meet(complement(composition(top,top)),complement(converse(complement(composition(top,top)))))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(converse(complement(composition(top,top))))),meet(complement(converse(complement(composition(top,top)))),complement(composition(top,top)))),join(converse(complement(composition(top,top))),meet(complement(converse(complement(composition(top,top)))),complement(composition(top,top))))) )],[refute_1_1342,refute_1_1343]) ).
cnf(refute_1_1345,plain,
join(complement(complement(converse(complement(composition(top,top))))),meet(complement(converse(complement(composition(top,top)))),complement(composition(top,top)))) = join(converse(complement(composition(top,top))),meet(complement(composition(top,top)),complement(converse(complement(composition(top,top)))))),
inference(resolve,[$cnf( $equal(join(converse(complement(composition(top,top))),meet(complement(converse(complement(composition(top,top)))),complement(composition(top,top)))),join(converse(complement(composition(top,top))),meet(complement(composition(top,top)),complement(converse(complement(composition(top,top))))))) )],[refute_1_1337,refute_1_1344]) ).
cnf(refute_1_1346,plain,
( complement(composition(top,top)) != join(complement(complement(converse(complement(composition(top,top))))),meet(complement(converse(complement(composition(top,top)))),complement(composition(top,top))))
| join(complement(complement(converse(complement(composition(top,top))))),meet(complement(converse(complement(composition(top,top)))),complement(composition(top,top)))) != join(converse(complement(composition(top,top))),meet(complement(composition(top,top)),complement(converse(complement(composition(top,top))))))
| complement(composition(top,top)) = join(converse(complement(composition(top,top))),meet(complement(composition(top,top)),complement(converse(complement(composition(top,top)))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(composition(top,top)),join(converse(complement(composition(top,top))),meet(complement(composition(top,top)),complement(converse(complement(composition(top,top))))))) ),[0],$fot(join(complement(complement(converse(complement(composition(top,top))))),meet(complement(converse(complement(composition(top,top)))),complement(composition(top,top)))))]]) ).
cnf(refute_1_1347,plain,
( complement(composition(top,top)) != join(complement(complement(converse(complement(composition(top,top))))),meet(complement(converse(complement(composition(top,top)))),complement(composition(top,top))))
| complement(composition(top,top)) = join(converse(complement(composition(top,top))),meet(complement(composition(top,top)),complement(converse(complement(composition(top,top)))))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(converse(complement(composition(top,top))))),meet(complement(converse(complement(composition(top,top)))),complement(composition(top,top)))),join(converse(complement(composition(top,top))),meet(complement(composition(top,top)),complement(converse(complement(composition(top,top))))))) )],[refute_1_1345,refute_1_1346]) ).
cnf(refute_1_1348,plain,
complement(composition(top,top)) = join(converse(complement(composition(top,top))),meet(complement(composition(top,top)),complement(converse(complement(composition(top,top)))))),
inference(resolve,[$cnf( $equal(complement(composition(top,top)),join(complement(complement(converse(complement(composition(top,top))))),meet(complement(converse(complement(composition(top,top)))),complement(composition(top,top))))) )],[refute_1_1332,refute_1_1347]) ).
cnf(refute_1_1349,plain,
( complement(composition(top,top)) != join(converse(complement(composition(top,top))),meet(complement(composition(top,top)),complement(converse(complement(composition(top,top))))))
| join(converse(complement(composition(top,top))),meet(complement(composition(top,top)),complement(converse(complement(composition(top,top)))))) = complement(composition(top,top)) ),
inference(subst,[],[refute_1_5:[bind(X,$fot(complement(composition(top,top)))),bind(Y,$fot(join(converse(complement(composition(top,top))),meet(complement(composition(top,top)),complement(converse(complement(composition(top,top))))))))]]) ).
cnf(refute_1_1350,plain,
join(converse(complement(composition(top,top))),meet(complement(composition(top,top)),complement(converse(complement(composition(top,top)))))) = complement(composition(top,top)),
inference(resolve,[$cnf( $equal(complement(composition(top,top)),join(converse(complement(composition(top,top))),meet(complement(composition(top,top)),complement(converse(complement(composition(top,top))))))) )],[refute_1_1348,refute_1_1349]) ).
cnf(refute_1_1351,plain,
( complement(converse(complement(composition(top,top)))) != join(complement(join(converse(complement(composition(top,top))),meet(complement(composition(top,top)),complement(converse(complement(composition(top,top))))))),meet(meet(complement(composition(top,top)),complement(converse(complement(composition(top,top))))),complement(converse(complement(composition(top,top))))))
| join(converse(complement(composition(top,top))),meet(complement(composition(top,top)),complement(converse(complement(composition(top,top)))))) != complement(composition(top,top))
| complement(converse(complement(composition(top,top)))) = join(complement(complement(composition(top,top))),meet(meet(complement(composition(top,top)),complement(converse(complement(composition(top,top))))),complement(converse(complement(composition(top,top)))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(complement(composition(top,top)))),join(complement(join(converse(complement(composition(top,top))),meet(complement(composition(top,top)),complement(converse(complement(composition(top,top))))))),meet(meet(complement(composition(top,top)),complement(converse(complement(composition(top,top))))),complement(converse(complement(composition(top,top))))))) ),[1,0,0],$fot(complement(composition(top,top)))]]) ).
cnf(refute_1_1352,plain,
( complement(converse(complement(composition(top,top)))) != join(complement(join(converse(complement(composition(top,top))),meet(complement(composition(top,top)),complement(converse(complement(composition(top,top))))))),meet(meet(complement(composition(top,top)),complement(converse(complement(composition(top,top))))),complement(converse(complement(composition(top,top))))))
| complement(converse(complement(composition(top,top)))) = join(complement(complement(composition(top,top))),meet(meet(complement(composition(top,top)),complement(converse(complement(composition(top,top))))),complement(converse(complement(composition(top,top)))))) ),
inference(resolve,[$cnf( $equal(join(converse(complement(composition(top,top))),meet(complement(composition(top,top)),complement(converse(complement(composition(top,top)))))),complement(composition(top,top))) )],[refute_1_1350,refute_1_1351]) ).
cnf(refute_1_1353,plain,
complement(converse(complement(composition(top,top)))) = join(complement(complement(composition(top,top))),meet(meet(complement(composition(top,top)),complement(converse(complement(composition(top,top))))),complement(converse(complement(composition(top,top)))))),
inference(resolve,[$cnf( $equal(complement(converse(complement(composition(top,top)))),join(complement(join(converse(complement(composition(top,top))),meet(complement(composition(top,top)),complement(converse(complement(composition(top,top))))))),meet(meet(complement(composition(top,top)),complement(converse(complement(composition(top,top))))),complement(converse(complement(composition(top,top))))))) )],[refute_1_1269,refute_1_1352]) ).
cnf(refute_1_1354,plain,
meet(meet(complement(composition(top,top)),complement(converse(complement(composition(top,top))))),complement(converse(complement(composition(top,top))))) = meet(complement(converse(complement(composition(top,top)))),meet(complement(composition(top,top)),complement(converse(complement(composition(top,top)))))),
inference(subst,[],[refute_1_850:[bind(X_348,$fot(complement(converse(complement(composition(top,top)))))),bind(X_349,$fot(meet(complement(composition(top,top)),complement(converse(complement(composition(top,top)))))))]]) ).
cnf(refute_1_1355,plain,
join(composition(top,top),meet(meet(complement(composition(top,top)),complement(converse(complement(composition(top,top))))),complement(converse(complement(composition(top,top)))))) = join(composition(top,top),meet(meet(complement(composition(top,top)),complement(converse(complement(composition(top,top))))),complement(converse(complement(composition(top,top)))))),
introduced(tautology,[refl,[$fot(join(composition(top,top),meet(meet(complement(composition(top,top)),complement(converse(complement(composition(top,top))))),complement(converse(complement(composition(top,top)))))))]]) ).
cnf(refute_1_1356,plain,
( join(composition(top,top),meet(meet(complement(composition(top,top)),complement(converse(complement(composition(top,top))))),complement(converse(complement(composition(top,top)))))) != join(composition(top,top),meet(meet(complement(composition(top,top)),complement(converse(complement(composition(top,top))))),complement(converse(complement(composition(top,top))))))
| meet(meet(complement(composition(top,top)),complement(converse(complement(composition(top,top))))),complement(converse(complement(composition(top,top))))) != meet(complement(converse(complement(composition(top,top)))),meet(complement(composition(top,top)),complement(converse(complement(composition(top,top))))))
| join(composition(top,top),meet(meet(complement(composition(top,top)),complement(converse(complement(composition(top,top))))),complement(converse(complement(composition(top,top)))))) = join(composition(top,top),meet(complement(converse(complement(composition(top,top)))),meet(complement(composition(top,top)),complement(converse(complement(composition(top,top))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(top,top),meet(meet(complement(composition(top,top)),complement(converse(complement(composition(top,top))))),complement(converse(complement(composition(top,top)))))),join(composition(top,top),meet(meet(complement(composition(top,top)),complement(converse(complement(composition(top,top))))),complement(converse(complement(composition(top,top))))))) ),[1,1],$fot(meet(complement(converse(complement(composition(top,top)))),meet(complement(composition(top,top)),complement(converse(complement(composition(top,top)))))))]]) ).
cnf(refute_1_1357,plain,
( meet(meet(complement(composition(top,top)),complement(converse(complement(composition(top,top))))),complement(converse(complement(composition(top,top))))) != meet(complement(converse(complement(composition(top,top)))),meet(complement(composition(top,top)),complement(converse(complement(composition(top,top))))))
| join(composition(top,top),meet(meet(complement(composition(top,top)),complement(converse(complement(composition(top,top))))),complement(converse(complement(composition(top,top)))))) = join(composition(top,top),meet(complement(converse(complement(composition(top,top)))),meet(complement(composition(top,top)),complement(converse(complement(composition(top,top))))))) ),
inference(resolve,[$cnf( $equal(join(composition(top,top),meet(meet(complement(composition(top,top)),complement(converse(complement(composition(top,top))))),complement(converse(complement(composition(top,top)))))),join(composition(top,top),meet(meet(complement(composition(top,top)),complement(converse(complement(composition(top,top))))),complement(converse(complement(composition(top,top))))))) )],[refute_1_1355,refute_1_1356]) ).
cnf(refute_1_1358,plain,
join(composition(top,top),meet(meet(complement(composition(top,top)),complement(converse(complement(composition(top,top))))),complement(converse(complement(composition(top,top)))))) = join(composition(top,top),meet(complement(converse(complement(composition(top,top)))),meet(complement(composition(top,top)),complement(converse(complement(composition(top,top))))))),
inference(resolve,[$cnf( $equal(meet(meet(complement(composition(top,top)),complement(converse(complement(composition(top,top))))),complement(converse(complement(composition(top,top))))),meet(complement(converse(complement(composition(top,top)))),meet(complement(composition(top,top)),complement(converse(complement(composition(top,top))))))) )],[refute_1_1354,refute_1_1357]) ).
cnf(refute_1_1359,plain,
complement(complement(composition(top,top))) = composition(top,top),
inference(subst,[],[refute_1_690:[bind(X_387,$fot(composition(top,top)))]]) ).
cnf(refute_1_1360,plain,
join(complement(complement(composition(top,top))),meet(meet(complement(composition(top,top)),complement(converse(complement(composition(top,top))))),complement(converse(complement(composition(top,top)))))) = join(complement(complement(composition(top,top))),meet(meet(complement(composition(top,top)),complement(converse(complement(composition(top,top))))),complement(converse(complement(composition(top,top)))))),
introduced(tautology,[refl,[$fot(join(complement(complement(composition(top,top))),meet(meet(complement(composition(top,top)),complement(converse(complement(composition(top,top))))),complement(converse(complement(composition(top,top)))))))]]) ).
cnf(refute_1_1361,plain,
( complement(complement(composition(top,top))) != composition(top,top)
| join(complement(complement(composition(top,top))),meet(meet(complement(composition(top,top)),complement(converse(complement(composition(top,top))))),complement(converse(complement(composition(top,top)))))) != join(complement(complement(composition(top,top))),meet(meet(complement(composition(top,top)),complement(converse(complement(composition(top,top))))),complement(converse(complement(composition(top,top))))))
| join(complement(complement(composition(top,top))),meet(meet(complement(composition(top,top)),complement(converse(complement(composition(top,top))))),complement(converse(complement(composition(top,top)))))) = join(composition(top,top),meet(meet(complement(composition(top,top)),complement(converse(complement(composition(top,top))))),complement(converse(complement(composition(top,top)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(composition(top,top))),meet(meet(complement(composition(top,top)),complement(converse(complement(composition(top,top))))),complement(converse(complement(composition(top,top)))))),join(complement(complement(composition(top,top))),meet(meet(complement(composition(top,top)),complement(converse(complement(composition(top,top))))),complement(converse(complement(composition(top,top))))))) ),[1,0],$fot(composition(top,top))]]) ).
cnf(refute_1_1362,plain,
( complement(complement(composition(top,top))) != composition(top,top)
| join(complement(complement(composition(top,top))),meet(meet(complement(composition(top,top)),complement(converse(complement(composition(top,top))))),complement(converse(complement(composition(top,top)))))) = join(composition(top,top),meet(meet(complement(composition(top,top)),complement(converse(complement(composition(top,top))))),complement(converse(complement(composition(top,top)))))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(composition(top,top))),meet(meet(complement(composition(top,top)),complement(converse(complement(composition(top,top))))),complement(converse(complement(composition(top,top)))))),join(complement(complement(composition(top,top))),meet(meet(complement(composition(top,top)),complement(converse(complement(composition(top,top))))),complement(converse(complement(composition(top,top))))))) )],[refute_1_1360,refute_1_1361]) ).
cnf(refute_1_1363,plain,
join(complement(complement(composition(top,top))),meet(meet(complement(composition(top,top)),complement(converse(complement(composition(top,top))))),complement(converse(complement(composition(top,top)))))) = join(composition(top,top),meet(meet(complement(composition(top,top)),complement(converse(complement(composition(top,top))))),complement(converse(complement(composition(top,top)))))),
inference(resolve,[$cnf( $equal(complement(complement(composition(top,top))),composition(top,top)) )],[refute_1_1359,refute_1_1362]) ).
cnf(refute_1_1364,plain,
( join(complement(complement(composition(top,top))),meet(meet(complement(composition(top,top)),complement(converse(complement(composition(top,top))))),complement(converse(complement(composition(top,top)))))) != join(composition(top,top),meet(meet(complement(composition(top,top)),complement(converse(complement(composition(top,top))))),complement(converse(complement(composition(top,top))))))
| join(composition(top,top),meet(meet(complement(composition(top,top)),complement(converse(complement(composition(top,top))))),complement(converse(complement(composition(top,top)))))) != join(composition(top,top),meet(complement(converse(complement(composition(top,top)))),meet(complement(composition(top,top)),complement(converse(complement(composition(top,top)))))))
| join(complement(complement(composition(top,top))),meet(meet(complement(composition(top,top)),complement(converse(complement(composition(top,top))))),complement(converse(complement(composition(top,top)))))) = join(composition(top,top),meet(complement(converse(complement(composition(top,top)))),meet(complement(composition(top,top)),complement(converse(complement(composition(top,top))))))) ),
inference(subst,[],[refute_1_10:[bind(X,$fot(join(complement(complement(composition(top,top))),meet(meet(complement(composition(top,top)),complement(converse(complement(composition(top,top))))),complement(converse(complement(composition(top,top)))))))),bind(Y,$fot(join(composition(top,top),meet(meet(complement(composition(top,top)),complement(converse(complement(composition(top,top))))),complement(converse(complement(composition(top,top)))))))),bind(Z,$fot(join(composition(top,top),meet(complement(converse(complement(composition(top,top)))),meet(complement(composition(top,top)),complement(converse(complement(composition(top,top)))))))))]]) ).
cnf(refute_1_1365,plain,
( join(composition(top,top),meet(meet(complement(composition(top,top)),complement(converse(complement(composition(top,top))))),complement(converse(complement(composition(top,top)))))) != join(composition(top,top),meet(complement(converse(complement(composition(top,top)))),meet(complement(composition(top,top)),complement(converse(complement(composition(top,top)))))))
| join(complement(complement(composition(top,top))),meet(meet(complement(composition(top,top)),complement(converse(complement(composition(top,top))))),complement(converse(complement(composition(top,top)))))) = join(composition(top,top),meet(complement(converse(complement(composition(top,top)))),meet(complement(composition(top,top)),complement(converse(complement(composition(top,top))))))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(composition(top,top))),meet(meet(complement(composition(top,top)),complement(converse(complement(composition(top,top))))),complement(converse(complement(composition(top,top)))))),join(composition(top,top),meet(meet(complement(composition(top,top)),complement(converse(complement(composition(top,top))))),complement(converse(complement(composition(top,top))))))) )],[refute_1_1363,refute_1_1364]) ).
cnf(refute_1_1366,plain,
join(complement(complement(composition(top,top))),meet(meet(complement(composition(top,top)),complement(converse(complement(composition(top,top))))),complement(converse(complement(composition(top,top)))))) = join(composition(top,top),meet(complement(converse(complement(composition(top,top)))),meet(complement(composition(top,top)),complement(converse(complement(composition(top,top))))))),
inference(resolve,[$cnf( $equal(join(composition(top,top),meet(meet(complement(composition(top,top)),complement(converse(complement(composition(top,top))))),complement(converse(complement(composition(top,top)))))),join(composition(top,top),meet(complement(converse(complement(composition(top,top)))),meet(complement(composition(top,top)),complement(converse(complement(composition(top,top)))))))) )],[refute_1_1358,refute_1_1365]) ).
cnf(refute_1_1367,plain,
( complement(converse(complement(composition(top,top)))) != join(complement(complement(composition(top,top))),meet(meet(complement(composition(top,top)),complement(converse(complement(composition(top,top))))),complement(converse(complement(composition(top,top))))))
| join(complement(complement(composition(top,top))),meet(meet(complement(composition(top,top)),complement(converse(complement(composition(top,top))))),complement(converse(complement(composition(top,top)))))) != join(composition(top,top),meet(complement(converse(complement(composition(top,top)))),meet(complement(composition(top,top)),complement(converse(complement(composition(top,top)))))))
| complement(converse(complement(composition(top,top)))) = join(composition(top,top),meet(complement(converse(complement(composition(top,top)))),meet(complement(composition(top,top)),complement(converse(complement(composition(top,top))))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(converse(complement(composition(top,top)))),join(composition(top,top),meet(complement(converse(complement(composition(top,top)))),meet(complement(composition(top,top)),complement(converse(complement(composition(top,top)))))))) ),[0],$fot(join(complement(complement(composition(top,top))),meet(meet(complement(composition(top,top)),complement(converse(complement(composition(top,top))))),complement(converse(complement(composition(top,top)))))))]]) ).
cnf(refute_1_1368,plain,
( complement(converse(complement(composition(top,top)))) != join(complement(complement(composition(top,top))),meet(meet(complement(composition(top,top)),complement(converse(complement(composition(top,top))))),complement(converse(complement(composition(top,top))))))
| complement(converse(complement(composition(top,top)))) = join(composition(top,top),meet(complement(converse(complement(composition(top,top)))),meet(complement(composition(top,top)),complement(converse(complement(composition(top,top))))))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(composition(top,top))),meet(meet(complement(composition(top,top)),complement(converse(complement(composition(top,top))))),complement(converse(complement(composition(top,top)))))),join(composition(top,top),meet(complement(converse(complement(composition(top,top)))),meet(complement(composition(top,top)),complement(converse(complement(composition(top,top)))))))) )],[refute_1_1366,refute_1_1367]) ).
cnf(refute_1_1369,plain,
complement(converse(complement(composition(top,top)))) = join(composition(top,top),meet(complement(converse(complement(composition(top,top)))),meet(complement(composition(top,top)),complement(converse(complement(composition(top,top))))))),
inference(resolve,[$cnf( $equal(complement(converse(complement(composition(top,top)))),join(complement(complement(composition(top,top))),meet(meet(complement(composition(top,top)),complement(converse(complement(composition(top,top))))),complement(converse(complement(composition(top,top))))))) )],[refute_1_1353,refute_1_1368]) ).
cnf(refute_1_1370,plain,
composition(one,complement(composition(top,top))) = complement(composition(top,top)),
inference(subst,[],[refute_1_157:[bind(X_337,$fot(complement(composition(top,top))))]]) ).
cnf(refute_1_1371,plain,
composition(join(X_468,top),complement(composition(top,top))) = join(composition(X_468,complement(composition(top,top))),composition(top,complement(composition(top,top)))),
inference(subst,[],[refute_1_1053:[bind(X0,$fot(X_468)),bind(X1,$fot(top)),bind(X2,$fot(complement(composition(top,top))))]]) ).
cnf(refute_1_1372,plain,
( composition(join(X_468,top),complement(composition(top,top))) != join(composition(X_468,complement(composition(top,top))),composition(top,complement(composition(top,top))))
| composition(top,complement(composition(top,top))) != zero
| composition(join(X_468,top),complement(composition(top,top))) = join(composition(X_468,complement(composition(top,top))),zero) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X_468,top),complement(composition(top,top))),join(composition(X_468,complement(composition(top,top))),composition(top,complement(composition(top,top))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_1_1373,plain,
( composition(join(X_468,top),complement(composition(top,top))) != join(composition(X_468,complement(composition(top,top))),composition(top,complement(composition(top,top))))
| composition(join(X_468,top),complement(composition(top,top))) = join(composition(X_468,complement(composition(top,top))),zero) ),
inference(resolve,[$cnf( $equal(composition(top,complement(composition(top,top))),zero) )],[refute_1_1276,refute_1_1372]) ).
cnf(refute_1_1374,plain,
composition(join(X_468,top),complement(composition(top,top))) = join(composition(X_468,complement(composition(top,top))),zero),
inference(resolve,[$cnf( $equal(composition(join(X_468,top),complement(composition(top,top))),join(composition(X_468,complement(composition(top,top))),composition(top,complement(composition(top,top))))) )],[refute_1_1371,refute_1_1373]) ).
cnf(refute_1_1375,plain,
join(X_468,top) = top,
inference(subst,[],[refute_1_652:[bind(X_372,$fot(X_468))]]) ).
cnf(refute_1_1376,plain,
composition(join(X_468,top),complement(composition(top,top))) = composition(join(X_468,top),complement(composition(top,top))),
introduced(tautology,[refl,[$fot(composition(join(X_468,top),complement(composition(top,top))))]]) ).
cnf(refute_1_1377,plain,
( composition(join(X_468,top),complement(composition(top,top))) != composition(join(X_468,top),complement(composition(top,top)))
| join(X_468,top) != top
| composition(join(X_468,top),complement(composition(top,top))) = composition(top,complement(composition(top,top))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X_468,top),complement(composition(top,top))),composition(join(X_468,top),complement(composition(top,top)))) ),[1,0],$fot(top)]]) ).
cnf(refute_1_1378,plain,
( join(X_468,top) != top
| composition(join(X_468,top),complement(composition(top,top))) = composition(top,complement(composition(top,top))) ),
inference(resolve,[$cnf( $equal(composition(join(X_468,top),complement(composition(top,top))),composition(join(X_468,top),complement(composition(top,top)))) )],[refute_1_1376,refute_1_1377]) ).
cnf(refute_1_1379,plain,
composition(join(X_468,top),complement(composition(top,top))) = composition(top,complement(composition(top,top))),
inference(resolve,[$cnf( $equal(join(X_468,top),top) )],[refute_1_1375,refute_1_1378]) ).
cnf(refute_1_1380,plain,
( composition(join(X_468,top),complement(composition(top,top))) != composition(top,complement(composition(top,top)))
| composition(top,complement(composition(top,top))) != zero
| composition(join(X_468,top),complement(composition(top,top))) = zero ),
inference(subst,[],[refute_1_10:[bind(X,$fot(composition(join(X_468,top),complement(composition(top,top))))),bind(Y,$fot(composition(top,complement(composition(top,top))))),bind(Z,$fot(zero))]]) ).
cnf(refute_1_1381,plain,
( composition(top,complement(composition(top,top))) != zero
| composition(join(X_468,top),complement(composition(top,top))) = zero ),
inference(resolve,[$cnf( $equal(composition(join(X_468,top),complement(composition(top,top))),composition(top,complement(composition(top,top)))) )],[refute_1_1379,refute_1_1380]) ).
cnf(refute_1_1382,plain,
composition(join(X_468,top),complement(composition(top,top))) = zero,
inference(resolve,[$cnf( $equal(composition(top,complement(composition(top,top))),zero) )],[refute_1_1276,refute_1_1381]) ).
cnf(refute_1_1383,plain,
( composition(join(X_468,top),complement(composition(top,top))) != join(composition(X_468,complement(composition(top,top))),zero)
| composition(join(X_468,top),complement(composition(top,top))) != zero
| zero = join(composition(X_468,complement(composition(top,top))),zero) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X_468,top),complement(composition(top,top))),join(composition(X_468,complement(composition(top,top))),zero)) ),[0],$fot(zero)]]) ).
cnf(refute_1_1384,plain,
( composition(join(X_468,top),complement(composition(top,top))) != join(composition(X_468,complement(composition(top,top))),zero)
| zero = join(composition(X_468,complement(composition(top,top))),zero) ),
inference(resolve,[$cnf( $equal(composition(join(X_468,top),complement(composition(top,top))),zero) )],[refute_1_1382,refute_1_1383]) ).
cnf(refute_1_1385,plain,
( X1 != join(X1,zero)
| join(X1,zero) = X1 ),
inference(subst,[],[refute_1_5:[bind(X,$fot(X1)),bind(Y,$fot(join(X1,zero)))]]) ).
cnf(refute_1_1386,plain,
join(X1,zero) = X1,
inference(resolve,[$cnf( $equal(X1,join(X1,zero)) )],[refute_1_751,refute_1_1385]) ).
cnf(refute_1_1387,plain,
join(composition(X_468,complement(composition(top,top))),zero) = composition(X_468,complement(composition(top,top))),
inference(subst,[],[refute_1_1386:[bind(X1,$fot(composition(X_468,complement(composition(top,top)))))]]) ).
cnf(refute_1_1388,plain,
( join(composition(X_468,complement(composition(top,top))),zero) != composition(X_468,complement(composition(top,top)))
| zero != join(composition(X_468,complement(composition(top,top))),zero)
| zero = composition(X_468,complement(composition(top,top))) ),
introduced(tautology,[equality,[$cnf( $equal(zero,join(composition(X_468,complement(composition(top,top))),zero)) ),[1],$fot(composition(X_468,complement(composition(top,top))))]]) ).
cnf(refute_1_1389,plain,
( zero != join(composition(X_468,complement(composition(top,top))),zero)
| zero = composition(X_468,complement(composition(top,top))) ),
inference(resolve,[$cnf( $equal(join(composition(X_468,complement(composition(top,top))),zero),composition(X_468,complement(composition(top,top)))) )],[refute_1_1387,refute_1_1388]) ).
cnf(refute_1_1390,plain,
( composition(join(X_468,top),complement(composition(top,top))) != join(composition(X_468,complement(composition(top,top))),zero)
| zero = composition(X_468,complement(composition(top,top))) ),
inference(resolve,[$cnf( $equal(zero,join(composition(X_468,complement(composition(top,top))),zero)) )],[refute_1_1384,refute_1_1389]) ).
cnf(refute_1_1391,plain,
zero = composition(X_468,complement(composition(top,top))),
inference(resolve,[$cnf( $equal(composition(join(X_468,top),complement(composition(top,top))),join(composition(X_468,complement(composition(top,top))),zero)) )],[refute_1_1374,refute_1_1390]) ).
cnf(refute_1_1392,plain,
zero = composition(one,complement(composition(top,top))),
inference(subst,[],[refute_1_1391:[bind(X_468,$fot(one))]]) ).
cnf(refute_1_1393,plain,
( zero != composition(one,complement(composition(top,top)))
| composition(one,complement(composition(top,top))) = zero ),
inference(subst,[],[refute_1_5:[bind(X,$fot(zero)),bind(Y,$fot(composition(one,complement(composition(top,top)))))]]) ).
cnf(refute_1_1394,plain,
composition(one,complement(composition(top,top))) = zero,
inference(resolve,[$cnf( $equal(zero,composition(one,complement(composition(top,top)))) )],[refute_1_1392,refute_1_1393]) ).
cnf(refute_1_1395,plain,
( composition(one,complement(composition(top,top))) != complement(composition(top,top))
| composition(one,complement(composition(top,top))) != zero
| zero = complement(composition(top,top)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(one,complement(composition(top,top))),complement(composition(top,top))) ),[0],$fot(zero)]]) ).
cnf(refute_1_1396,plain,
( composition(one,complement(composition(top,top))) != complement(composition(top,top))
| zero = complement(composition(top,top)) ),
inference(resolve,[$cnf( $equal(composition(one,complement(composition(top,top))),zero) )],[refute_1_1394,refute_1_1395]) ).
cnf(refute_1_1397,plain,
zero = complement(composition(top,top)),
inference(resolve,[$cnf( $equal(composition(one,complement(composition(top,top))),complement(composition(top,top))) )],[refute_1_1370,refute_1_1396]) ).
cnf(refute_1_1398,plain,
( zero != complement(composition(top,top))
| complement(composition(top,top)) = zero ),
inference(subst,[],[refute_1_5:[bind(X,$fot(zero)),bind(Y,$fot(complement(composition(top,top))))]]) ).
cnf(refute_1_1399,plain,
complement(composition(top,top)) = zero,
inference(resolve,[$cnf( $equal(zero,complement(composition(top,top))) )],[refute_1_1397,refute_1_1398]) ).
cnf(refute_1_1400,plain,
converse(complement(composition(top,top))) = converse(complement(composition(top,top))),
introduced(tautology,[refl,[$fot(converse(complement(composition(top,top))))]]) ).
cnf(refute_1_1401,plain,
( complement(composition(top,top)) != zero
| converse(complement(composition(top,top))) != converse(complement(composition(top,top)))
| converse(complement(composition(top,top))) = converse(zero) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(composition(top,top))),converse(complement(composition(top,top)))) ),[1,0],$fot(zero)]]) ).
cnf(refute_1_1402,plain,
( complement(composition(top,top)) != zero
| converse(complement(composition(top,top))) = converse(zero) ),
inference(resolve,[$cnf( $equal(converse(complement(composition(top,top))),converse(complement(composition(top,top)))) )],[refute_1_1400,refute_1_1401]) ).
cnf(refute_1_1403,plain,
converse(complement(composition(top,top))) = converse(zero),
inference(resolve,[$cnf( $equal(complement(composition(top,top)),zero) )],[refute_1_1399,refute_1_1402]) ).
cnf(refute_1_1404,plain,
( converse(complement(composition(top,top))) != converse(zero)
| converse(zero) != zero
| converse(complement(composition(top,top))) = zero ),
inference(subst,[],[refute_1_10:[bind(X,$fot(converse(complement(composition(top,top))))),bind(Y,$fot(converse(zero))),bind(Z,$fot(zero))]]) ).
cnf(refute_1_1405,plain,
( converse(zero) != zero
| converse(complement(composition(top,top))) = zero ),
inference(resolve,[$cnf( $equal(converse(complement(composition(top,top))),converse(zero)) )],[refute_1_1403,refute_1_1404]) ).
cnf(refute_1_1406,plain,
converse(complement(composition(top,top))) = zero,
inference(resolve,[$cnf( $equal(converse(zero),zero) )],[refute_1_768,refute_1_1405]) ).
cnf(refute_1_1407,plain,
complement(converse(complement(composition(top,top)))) = complement(converse(complement(composition(top,top)))),
introduced(tautology,[refl,[$fot(complement(converse(complement(composition(top,top)))))]]) ).
cnf(refute_1_1408,plain,
( complement(converse(complement(composition(top,top)))) != complement(converse(complement(composition(top,top))))
| converse(complement(composition(top,top))) != zero
| complement(converse(complement(composition(top,top)))) = complement(zero) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(complement(composition(top,top)))),complement(converse(complement(composition(top,top))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_1_1409,plain,
( converse(complement(composition(top,top))) != zero
| complement(converse(complement(composition(top,top)))) = complement(zero) ),
inference(resolve,[$cnf( $equal(complement(converse(complement(composition(top,top)))),complement(converse(complement(composition(top,top))))) )],[refute_1_1407,refute_1_1408]) ).
cnf(refute_1_1410,plain,
complement(converse(complement(composition(top,top)))) = complement(zero),
inference(resolve,[$cnf( $equal(converse(complement(composition(top,top))),zero) )],[refute_1_1406,refute_1_1409]) ).
cnf(refute_1_1411,plain,
( complement(converse(complement(composition(top,top)))) != complement(zero)
| complement(zero) != top
| complement(converse(complement(composition(top,top)))) = top ),
inference(subst,[],[refute_1_10:[bind(X,$fot(complement(converse(complement(composition(top,top)))))),bind(Y,$fot(complement(zero))),bind(Z,$fot(top))]]) ).
cnf(refute_1_1412,plain,
( complement(zero) != top
| complement(converse(complement(composition(top,top)))) = top ),
inference(resolve,[$cnf( $equal(complement(converse(complement(composition(top,top)))),complement(zero)) )],[refute_1_1410,refute_1_1411]) ).
cnf(refute_1_1413,plain,
complement(converse(complement(composition(top,top)))) = top,
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_1_728,refute_1_1412]) ).
cnf(refute_1_1414,plain,
( complement(converse(complement(composition(top,top)))) != join(composition(top,top),meet(complement(converse(complement(composition(top,top)))),meet(complement(composition(top,top)),complement(converse(complement(composition(top,top)))))))
| complement(converse(complement(composition(top,top)))) != top
| top = join(composition(top,top),meet(complement(converse(complement(composition(top,top)))),meet(complement(composition(top,top)),complement(converse(complement(composition(top,top))))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(complement(composition(top,top)))),join(composition(top,top),meet(complement(converse(complement(composition(top,top)))),meet(complement(composition(top,top)),complement(converse(complement(composition(top,top)))))))) ),[0],$fot(top)]]) ).
cnf(refute_1_1415,plain,
( complement(converse(complement(composition(top,top)))) != join(composition(top,top),meet(complement(converse(complement(composition(top,top)))),meet(complement(composition(top,top)),complement(converse(complement(composition(top,top)))))))
| top = join(composition(top,top),meet(complement(converse(complement(composition(top,top)))),meet(complement(composition(top,top)),complement(converse(complement(composition(top,top))))))) ),
inference(resolve,[$cnf( $equal(complement(converse(complement(composition(top,top)))),top) )],[refute_1_1413,refute_1_1414]) ).
cnf(refute_1_1416,plain,
join(composition(top,top),zero) = composition(top,top),
inference(subst,[],[refute_1_1386:[bind(X1,$fot(composition(top,top)))]]) ).
cnf(refute_1_1417,plain,
zero = meet(top,complement(top)),
inference(subst,[],[refute_1_45:[bind(X0,$fot(top))]]) ).
cnf(refute_1_1418,plain,
( complement(top) != zero
| zero != meet(top,complement(top))
| zero = meet(top,zero) ),
introduced(tautology,[equality,[$cnf( $equal(zero,meet(top,complement(top))) ),[1,1],$fot(zero)]]) ).
cnf(refute_1_1419,plain,
( zero != meet(top,complement(top))
| zero = meet(top,zero) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_1_74,refute_1_1418]) ).
cnf(refute_1_1420,plain,
zero = meet(top,zero),
inference(resolve,[$cnf( $equal(zero,meet(top,complement(top))) )],[refute_1_1417,refute_1_1419]) ).
cnf(refute_1_1421,plain,
( zero != meet(top,zero)
| meet(top,zero) = zero ),
inference(subst,[],[refute_1_5:[bind(X,$fot(zero)),bind(Y,$fot(meet(top,zero)))]]) ).
cnf(refute_1_1422,plain,
meet(top,zero) = zero,
inference(resolve,[$cnf( $equal(zero,meet(top,zero)) )],[refute_1_1420,refute_1_1421]) ).
cnf(refute_1_1423,plain,
zero = join(meet(zero,X1),complement(join(complement(zero),X1))),
inference(subst,[],[refute_1_98:[bind(X0,$fot(zero))]]) ).
cnf(refute_1_1424,plain,
( complement(zero) != top
| zero != join(meet(zero,X1),complement(join(complement(zero),X1)))
| zero = join(meet(zero,X1),complement(join(top,X1))) ),
introduced(tautology,[equality,[$cnf( $equal(zero,join(meet(zero,X1),complement(join(complement(zero),X1)))) ),[1,1,0,0],$fot(top)]]) ).
cnf(refute_1_1425,plain,
( zero != join(meet(zero,X1),complement(join(complement(zero),X1)))
| zero = join(meet(zero,X1),complement(join(top,X1))) ),
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_1_728,refute_1_1424]) ).
cnf(refute_1_1426,plain,
zero = join(meet(zero,X1),complement(join(top,X1))),
inference(resolve,[$cnf( $equal(zero,join(meet(zero,X1),complement(join(complement(zero),X1)))) )],[refute_1_1423,refute_1_1425]) ).
cnf(refute_1_1427,plain,
join(meet(zero,X1),zero) = meet(zero,X1),
inference(subst,[],[refute_1_1386:[bind(X1,$fot(meet(zero,X1)))]]) ).
cnf(refute_1_1428,plain,
join(X_358,join(meet(top,top),join(zero,meet(top,join(zero,zero))))) = join(join(X_358,meet(top,top)),join(zero,meet(top,join(zero,zero)))),
inference(subst,[],[refute_1_228:[bind(X0,$fot(X_358)),bind(X1,$fot(meet(top,top))),bind(X2,$fot(join(zero,meet(top,join(zero,zero)))))]]) ).
cnf(refute_1_1429,plain,
join(join(meet(top,top),meet(top,join(zero,zero))),zero) = join(zero,join(meet(top,top),meet(top,join(zero,zero)))),
inference(subst,[],[refute_1_2:[bind(X0,$fot(join(meet(top,top),meet(top,join(zero,zero))))),bind(X1,$fot(zero))]]) ).
cnf(refute_1_1430,plain,
top = join(join(zero,complement(X_351)),complement(join(zero,complement(X_351)))),
inference(subst,[],[refute_1_54:[bind(X0,$fot(join(zero,complement(X_351))))]]) ).
cnf(refute_1_1431,plain,
meet(top,X_351) = complement(join(zero,complement(X_351))),
inference(subst,[],[refute_1_208:[bind(X1,$fot(X_351))]]) ).
cnf(refute_1_1432,plain,
( meet(top,X_351) != complement(join(zero,complement(X_351)))
| complement(join(zero,complement(X_351))) = meet(top,X_351) ),
inference(subst,[],[refute_1_5:[bind(X,$fot(meet(top,X_351))),bind(Y,$fot(complement(join(zero,complement(X_351)))))]]) ).
cnf(refute_1_1433,plain,
complement(join(zero,complement(X_351))) = meet(top,X_351),
inference(resolve,[$cnf( $equal(meet(top,X_351),complement(join(zero,complement(X_351)))) )],[refute_1_1431,refute_1_1432]) ).
cnf(refute_1_1434,plain,
( complement(join(zero,complement(X_351))) != meet(top,X_351)
| top != join(join(zero,complement(X_351)),complement(join(zero,complement(X_351))))
| top = join(join(zero,complement(X_351)),meet(top,X_351)) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(join(zero,complement(X_351)),complement(join(zero,complement(X_351))))) ),[1,1],$fot(meet(top,X_351))]]) ).
cnf(refute_1_1435,plain,
( top != join(join(zero,complement(X_351)),complement(join(zero,complement(X_351))))
| top = join(join(zero,complement(X_351)),meet(top,X_351)) ),
inference(resolve,[$cnf( $equal(complement(join(zero,complement(X_351))),meet(top,X_351)) )],[refute_1_1433,refute_1_1434]) ).
cnf(refute_1_1436,plain,
top = join(join(zero,complement(X_351)),meet(top,X_351)),
inference(resolve,[$cnf( $equal(top,join(join(zero,complement(X_351)),complement(join(zero,complement(X_351))))) )],[refute_1_1430,refute_1_1435]) ).
cnf(refute_1_1437,plain,
join(join(zero,complement(X_351)),meet(top,X_351)) = join(zero,join(complement(X_351),meet(top,X_351))),
inference(subst,[],[refute_1_241:[bind(X0,$fot(zero)),bind(X1,$fot(complement(X_351))),bind(X2,$fot(meet(top,X_351)))]]) ).
cnf(refute_1_1438,plain,
( join(join(zero,complement(X_351)),meet(top,X_351)) != join(zero,join(complement(X_351),meet(top,X_351)))
| top != join(join(zero,complement(X_351)),meet(top,X_351))
| top = join(zero,join(complement(X_351),meet(top,X_351))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(join(zero,complement(X_351)),meet(top,X_351))) ),[1],$fot(join(zero,join(complement(X_351),meet(top,X_351))))]]) ).
cnf(refute_1_1439,plain,
( top != join(join(zero,complement(X_351)),meet(top,X_351))
| top = join(zero,join(complement(X_351),meet(top,X_351))) ),
inference(resolve,[$cnf( $equal(join(join(zero,complement(X_351)),meet(top,X_351)),join(zero,join(complement(X_351),meet(top,X_351)))) )],[refute_1_1437,refute_1_1438]) ).
cnf(refute_1_1440,plain,
top = join(zero,join(complement(X_351),meet(top,X_351))),
inference(resolve,[$cnf( $equal(top,join(join(zero,complement(X_351)),meet(top,X_351))) )],[refute_1_1436,refute_1_1439]) ).
cnf(refute_1_1441,plain,
top = join(zero,join(complement(join(zero,zero)),meet(top,join(zero,zero)))),
inference(subst,[],[refute_1_1440:[bind(X_351,$fot(join(zero,zero)))]]) ).
cnf(refute_1_1442,plain,
( complement(join(zero,zero)) != meet(top,top)
| top != join(zero,join(complement(join(zero,zero)),meet(top,join(zero,zero))))
| top = join(zero,join(meet(top,top),meet(top,join(zero,zero)))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(zero,join(complement(join(zero,zero)),meet(top,join(zero,zero))))) ),[1,1,0],$fot(meet(top,top))]]) ).
cnf(refute_1_1443,plain,
( top != join(zero,join(complement(join(zero,zero)),meet(top,join(zero,zero))))
| top = join(zero,join(meet(top,top),meet(top,join(zero,zero)))) ),
inference(resolve,[$cnf( $equal(complement(join(zero,zero)),meet(top,top)) )],[refute_1_236,refute_1_1442]) ).
cnf(refute_1_1444,plain,
top = join(zero,join(meet(top,top),meet(top,join(zero,zero)))),
inference(resolve,[$cnf( $equal(top,join(zero,join(complement(join(zero,zero)),meet(top,join(zero,zero))))) )],[refute_1_1441,refute_1_1443]) ).
cnf(refute_1_1445,plain,
( top != join(zero,join(meet(top,top),meet(top,join(zero,zero))))
| join(zero,join(meet(top,top),meet(top,join(zero,zero)))) = top ),
inference(subst,[],[refute_1_5:[bind(X,$fot(top)),bind(Y,$fot(join(zero,join(meet(top,top),meet(top,join(zero,zero))))))]]) ).
cnf(refute_1_1446,plain,
join(zero,join(meet(top,top),meet(top,join(zero,zero)))) = top,
inference(resolve,[$cnf( $equal(top,join(zero,join(meet(top,top),meet(top,join(zero,zero))))) )],[refute_1_1444,refute_1_1445]) ).
cnf(refute_1_1447,plain,
( join(join(meet(top,top),meet(top,join(zero,zero))),zero) != join(zero,join(meet(top,top),meet(top,join(zero,zero))))
| join(zero,join(meet(top,top),meet(top,join(zero,zero)))) != top
| join(join(meet(top,top),meet(top,join(zero,zero))),zero) = top ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(join(meet(top,top),meet(top,join(zero,zero))),zero),top) ),[0],$fot(join(zero,join(meet(top,top),meet(top,join(zero,zero)))))]]) ).
cnf(refute_1_1448,plain,
( join(join(meet(top,top),meet(top,join(zero,zero))),zero) != join(zero,join(meet(top,top),meet(top,join(zero,zero))))
| join(join(meet(top,top),meet(top,join(zero,zero))),zero) = top ),
inference(resolve,[$cnf( $equal(join(zero,join(meet(top,top),meet(top,join(zero,zero)))),top) )],[refute_1_1446,refute_1_1447]) ).
cnf(refute_1_1449,plain,
join(join(meet(top,top),meet(top,join(zero,zero))),zero) = top,
inference(resolve,[$cnf( $equal(join(join(meet(top,top),meet(top,join(zero,zero))),zero),join(zero,join(meet(top,top),meet(top,join(zero,zero))))) )],[refute_1_1429,refute_1_1448]) ).
cnf(refute_1_1450,plain,
join(meet(top,join(zero,zero)),zero) = join(zero,meet(top,join(zero,zero))),
inference(subst,[],[refute_1_7:[bind(X0,$fot(zero)),bind(X1,$fot(meet(top,join(zero,zero))))]]) ).
cnf(refute_1_1451,plain,
join(meet(top,top),join(meet(top,join(zero,zero)),zero)) = join(meet(top,top),join(meet(top,join(zero,zero)),zero)),
introduced(tautology,[refl,[$fot(join(meet(top,top),join(meet(top,join(zero,zero)),zero)))]]) ).
cnf(refute_1_1452,plain,
( join(meet(top,join(zero,zero)),zero) != join(zero,meet(top,join(zero,zero)))
| join(meet(top,top),join(meet(top,join(zero,zero)),zero)) != join(meet(top,top),join(meet(top,join(zero,zero)),zero))
| join(meet(top,top),join(meet(top,join(zero,zero)),zero)) = join(meet(top,top),join(zero,meet(top,join(zero,zero)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(top,top),join(meet(top,join(zero,zero)),zero)),join(meet(top,top),join(meet(top,join(zero,zero)),zero))) ),[1,1],$fot(join(zero,meet(top,join(zero,zero))))]]) ).
cnf(refute_1_1453,plain,
( join(meet(top,join(zero,zero)),zero) != join(zero,meet(top,join(zero,zero)))
| join(meet(top,top),join(meet(top,join(zero,zero)),zero)) = join(meet(top,top),join(zero,meet(top,join(zero,zero)))) ),
inference(resolve,[$cnf( $equal(join(meet(top,top),join(meet(top,join(zero,zero)),zero)),join(meet(top,top),join(meet(top,join(zero,zero)),zero))) )],[refute_1_1451,refute_1_1452]) ).
cnf(refute_1_1454,plain,
join(meet(top,top),join(meet(top,join(zero,zero)),zero)) = join(meet(top,top),join(zero,meet(top,join(zero,zero)))),
inference(resolve,[$cnf( $equal(join(meet(top,join(zero,zero)),zero),join(zero,meet(top,join(zero,zero)))) )],[refute_1_1450,refute_1_1453]) ).
cnf(refute_1_1455,plain,
join(join(meet(top,top),meet(top,join(zero,zero))),zero) = join(meet(top,top),join(meet(top,join(zero,zero)),zero)),
inference(subst,[],[refute_1_241:[bind(X0,$fot(meet(top,top))),bind(X1,$fot(meet(top,join(zero,zero)))),bind(X2,$fot(zero))]]) ).
cnf(refute_1_1456,plain,
( join(join(meet(top,top),meet(top,join(zero,zero))),zero) != join(meet(top,top),join(meet(top,join(zero,zero)),zero))
| join(meet(top,top),join(meet(top,join(zero,zero)),zero)) != join(meet(top,top),join(zero,meet(top,join(zero,zero))))
| join(join(meet(top,top),meet(top,join(zero,zero))),zero) = join(meet(top,top),join(zero,meet(top,join(zero,zero)))) ),
inference(subst,[],[refute_1_10:[bind(X,$fot(join(join(meet(top,top),meet(top,join(zero,zero))),zero))),bind(Y,$fot(join(meet(top,top),join(meet(top,join(zero,zero)),zero)))),bind(Z,$fot(join(meet(top,top),join(zero,meet(top,join(zero,zero))))))]]) ).
cnf(refute_1_1457,plain,
( join(meet(top,top),join(meet(top,join(zero,zero)),zero)) != join(meet(top,top),join(zero,meet(top,join(zero,zero))))
| join(join(meet(top,top),meet(top,join(zero,zero))),zero) = join(meet(top,top),join(zero,meet(top,join(zero,zero)))) ),
inference(resolve,[$cnf( $equal(join(join(meet(top,top),meet(top,join(zero,zero))),zero),join(meet(top,top),join(meet(top,join(zero,zero)),zero))) )],[refute_1_1455,refute_1_1456]) ).
cnf(refute_1_1458,plain,
join(join(meet(top,top),meet(top,join(zero,zero))),zero) = join(meet(top,top),join(zero,meet(top,join(zero,zero)))),
inference(resolve,[$cnf( $equal(join(meet(top,top),join(meet(top,join(zero,zero)),zero)),join(meet(top,top),join(zero,meet(top,join(zero,zero))))) )],[refute_1_1454,refute_1_1457]) ).
cnf(refute_1_1459,plain,
( join(join(meet(top,top),meet(top,join(zero,zero))),zero) != join(meet(top,top),join(zero,meet(top,join(zero,zero))))
| join(join(meet(top,top),meet(top,join(zero,zero))),zero) != top
| join(meet(top,top),join(zero,meet(top,join(zero,zero)))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(join(meet(top,top),meet(top,join(zero,zero))),zero),top) ),[0],$fot(join(meet(top,top),join(zero,meet(top,join(zero,zero)))))]]) ).
cnf(refute_1_1460,plain,
( join(join(meet(top,top),meet(top,join(zero,zero))),zero) != top
| join(meet(top,top),join(zero,meet(top,join(zero,zero)))) = top ),
inference(resolve,[$cnf( $equal(join(join(meet(top,top),meet(top,join(zero,zero))),zero),join(meet(top,top),join(zero,meet(top,join(zero,zero))))) )],[refute_1_1458,refute_1_1459]) ).
cnf(refute_1_1461,plain,
join(meet(top,top),join(zero,meet(top,join(zero,zero)))) = top,
inference(resolve,[$cnf( $equal(join(join(meet(top,top),meet(top,join(zero,zero))),zero),top) )],[refute_1_1449,refute_1_1460]) ).
cnf(refute_1_1462,plain,
( join(X_358,join(meet(top,top),join(zero,meet(top,join(zero,zero))))) != join(join(X_358,meet(top,top)),join(zero,meet(top,join(zero,zero))))
| join(meet(top,top),join(zero,meet(top,join(zero,zero)))) != top
| join(X_358,top) = join(join(X_358,meet(top,top)),join(zero,meet(top,join(zero,zero)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_358,join(meet(top,top),join(zero,meet(top,join(zero,zero))))),join(join(X_358,meet(top,top)),join(zero,meet(top,join(zero,zero))))) ),[0,1],$fot(top)]]) ).
cnf(refute_1_1463,plain,
( join(X_358,join(meet(top,top),join(zero,meet(top,join(zero,zero))))) != join(join(X_358,meet(top,top)),join(zero,meet(top,join(zero,zero))))
| join(X_358,top) = join(join(X_358,meet(top,top)),join(zero,meet(top,join(zero,zero)))) ),
inference(resolve,[$cnf( $equal(join(meet(top,top),join(zero,meet(top,join(zero,zero)))),top) )],[refute_1_1461,refute_1_1462]) ).
cnf(refute_1_1464,plain,
join(X_358,top) = join(join(X_358,meet(top,top)),join(zero,meet(top,join(zero,zero)))),
inference(resolve,[$cnf( $equal(join(X_358,join(meet(top,top),join(zero,meet(top,join(zero,zero))))),join(join(X_358,meet(top,top)),join(zero,meet(top,join(zero,zero))))) )],[refute_1_1428,refute_1_1463]) ).
cnf(refute_1_1465,plain,
join(meet(top,join(zero,zero)),join(X_358,meet(top,top))) = join(meet(top,top),join(meet(top,join(zero,zero)),X_358)),
inference(subst,[],[refute_1_259:[bind(X0,$fot(meet(top,top))),bind(X_358,$fot(meet(top,join(zero,zero)))),bind(X_359,$fot(X_358))]]) ).
cnf(refute_1_1466,plain,
join(zero,join(meet(top,join(zero,zero)),join(X_358,meet(top,top)))) = join(zero,join(meet(top,join(zero,zero)),join(X_358,meet(top,top)))),
introduced(tautology,[refl,[$fot(join(zero,join(meet(top,join(zero,zero)),join(X_358,meet(top,top)))))]]) ).
cnf(refute_1_1467,plain,
( join(meet(top,join(zero,zero)),join(X_358,meet(top,top))) != join(meet(top,top),join(meet(top,join(zero,zero)),X_358))
| join(zero,join(meet(top,join(zero,zero)),join(X_358,meet(top,top)))) != join(zero,join(meet(top,join(zero,zero)),join(X_358,meet(top,top))))
| join(zero,join(meet(top,join(zero,zero)),join(X_358,meet(top,top)))) = join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),X_358))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,join(meet(top,join(zero,zero)),join(X_358,meet(top,top)))),join(zero,join(meet(top,join(zero,zero)),join(X_358,meet(top,top))))) ),[1,1],$fot(join(meet(top,top),join(meet(top,join(zero,zero)),X_358)))]]) ).
cnf(refute_1_1468,plain,
( join(meet(top,join(zero,zero)),join(X_358,meet(top,top))) != join(meet(top,top),join(meet(top,join(zero,zero)),X_358))
| join(zero,join(meet(top,join(zero,zero)),join(X_358,meet(top,top)))) = join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),X_358))) ),
inference(resolve,[$cnf( $equal(join(zero,join(meet(top,join(zero,zero)),join(X_358,meet(top,top)))),join(zero,join(meet(top,join(zero,zero)),join(X_358,meet(top,top))))) )],[refute_1_1466,refute_1_1467]) ).
cnf(refute_1_1469,plain,
join(zero,join(meet(top,join(zero,zero)),join(X_358,meet(top,top)))) = join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),X_358))),
inference(resolve,[$cnf( $equal(join(meet(top,join(zero,zero)),join(X_358,meet(top,top))),join(meet(top,top),join(meet(top,join(zero,zero)),X_358))) )],[refute_1_1465,refute_1_1468]) ).
cnf(refute_1_1470,plain,
join(join(X_358,meet(top,top)),join(zero,meet(top,join(zero,zero)))) = join(zero,join(meet(top,join(zero,zero)),join(X_358,meet(top,top)))),
inference(subst,[],[refute_1_257:[bind(X0,$fot(join(X_358,meet(top,top)))),bind(X_358,$fot(zero)),bind(X_359,$fot(meet(top,join(zero,zero))))]]) ).
cnf(refute_1_1471,plain,
( join(join(X_358,meet(top,top)),join(zero,meet(top,join(zero,zero)))) != join(zero,join(meet(top,join(zero,zero)),join(X_358,meet(top,top))))
| join(zero,join(meet(top,join(zero,zero)),join(X_358,meet(top,top)))) != join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),X_358)))
| join(join(X_358,meet(top,top)),join(zero,meet(top,join(zero,zero)))) = join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),X_358))) ),
inference(subst,[],[refute_1_10:[bind(X,$fot(join(join(X_358,meet(top,top)),join(zero,meet(top,join(zero,zero)))))),bind(Y,$fot(join(zero,join(meet(top,join(zero,zero)),join(X_358,meet(top,top)))))),bind(Z,$fot(join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),X_358)))))]]) ).
cnf(refute_1_1472,plain,
( join(zero,join(meet(top,join(zero,zero)),join(X_358,meet(top,top)))) != join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),X_358)))
| join(join(X_358,meet(top,top)),join(zero,meet(top,join(zero,zero)))) = join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),X_358))) ),
inference(resolve,[$cnf( $equal(join(join(X_358,meet(top,top)),join(zero,meet(top,join(zero,zero)))),join(zero,join(meet(top,join(zero,zero)),join(X_358,meet(top,top))))) )],[refute_1_1470,refute_1_1471]) ).
cnf(refute_1_1473,plain,
join(join(X_358,meet(top,top)),join(zero,meet(top,join(zero,zero)))) = join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),X_358))),
inference(resolve,[$cnf( $equal(join(zero,join(meet(top,join(zero,zero)),join(X_358,meet(top,top)))),join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),X_358)))) )],[refute_1_1469,refute_1_1472]) ).
cnf(refute_1_1474,plain,
( join(X_358,top) != join(join(X_358,meet(top,top)),join(zero,meet(top,join(zero,zero))))
| join(join(X_358,meet(top,top)),join(zero,meet(top,join(zero,zero)))) != join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),X_358)))
| join(X_358,top) = join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),X_358))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_358,top),join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),X_358)))) ),[0],$fot(join(join(X_358,meet(top,top)),join(zero,meet(top,join(zero,zero)))))]]) ).
cnf(refute_1_1475,plain,
( join(X_358,top) != join(join(X_358,meet(top,top)),join(zero,meet(top,join(zero,zero))))
| join(X_358,top) = join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),X_358))) ),
inference(resolve,[$cnf( $equal(join(join(X_358,meet(top,top)),join(zero,meet(top,join(zero,zero)))),join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),X_358)))) )],[refute_1_1473,refute_1_1474]) ).
cnf(refute_1_1476,plain,
join(X_358,top) = join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),X_358))),
inference(resolve,[$cnf( $equal(join(X_358,top),join(join(X_358,meet(top,top)),join(zero,meet(top,join(zero,zero))))) )],[refute_1_1464,refute_1_1475]) ).
cnf(refute_1_1477,plain,
join(X_358,top) = top,
inference(subst,[],[refute_1_652:[bind(X_372,$fot(X_358))]]) ).
cnf(refute_1_1478,plain,
( join(X_358,top) != join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),X_358)))
| join(X_358,top) != top
| top = join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),X_358))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_358,top),join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),X_358)))) ),[0],$fot(top)]]) ).
cnf(refute_1_1479,plain,
( join(X_358,top) != join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),X_358)))
| top = join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),X_358))) ),
inference(resolve,[$cnf( $equal(join(X_358,top),top) )],[refute_1_1477,refute_1_1478]) ).
cnf(refute_1_1480,plain,
join(top,join(zero,X_358)) = join(top,X_358),
inference(subst,[],[refute_1_351:[bind(X_360,$fot(X_358))]]) ).
cnf(refute_1_1481,plain,
join(zero,join(top,X_358)) = join(top,join(zero,X_358)),
inference(subst,[],[refute_1_568:[bind(X_358,$fot(top)),bind(X_359,$fot(zero)),bind(X_360,$fot(X_358))]]) ).
cnf(refute_1_1482,plain,
( join(top,join(zero,X_358)) != join(top,X_358)
| join(zero,join(top,X_358)) != join(top,join(zero,X_358))
| join(zero,join(top,X_358)) = join(top,X_358) ),
inference(subst,[],[refute_1_10:[bind(X,$fot(join(zero,join(top,X_358)))),bind(Y,$fot(join(top,join(zero,X_358)))),bind(Z,$fot(join(top,X_358)))]]) ).
cnf(refute_1_1483,plain,
( join(top,join(zero,X_358)) != join(top,X_358)
| join(zero,join(top,X_358)) = join(top,X_358) ),
inference(resolve,[$cnf( $equal(join(zero,join(top,X_358)),join(top,join(zero,X_358))) )],[refute_1_1481,refute_1_1482]) ).
cnf(refute_1_1484,plain,
join(zero,join(top,X_358)) = join(top,X_358),
inference(resolve,[$cnf( $equal(join(top,join(zero,X_358)),join(top,X_358)) )],[refute_1_1480,refute_1_1483]) ).
cnf(refute_1_1485,plain,
join(X_358,join(complement(X_358),X_360)) = join(join(X_358,complement(X_358)),X_360),
inference(subst,[],[refute_1_228:[bind(X0,$fot(X_358)),bind(X1,$fot(complement(X_358))),bind(X2,$fot(X_360))]]) ).
cnf(refute_1_1486,plain,
top = join(X_358,complement(X_358)),
inference(subst,[],[refute_1_54:[bind(X0,$fot(X_358))]]) ).
cnf(refute_1_1487,plain,
( top != join(X_358,complement(X_358))
| join(X_358,complement(X_358)) = top ),
inference(subst,[],[refute_1_5:[bind(X,$fot(top)),bind(Y,$fot(join(X_358,complement(X_358))))]]) ).
cnf(refute_1_1488,plain,
join(X_358,complement(X_358)) = top,
inference(resolve,[$cnf( $equal(top,join(X_358,complement(X_358))) )],[refute_1_1486,refute_1_1487]) ).
cnf(refute_1_1489,plain,
( join(X_358,complement(X_358)) != top
| join(X_358,join(complement(X_358),X_360)) != join(join(X_358,complement(X_358)),X_360)
| join(X_358,join(complement(X_358),X_360)) = join(top,X_360) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_358,join(complement(X_358),X_360)),join(join(X_358,complement(X_358)),X_360)) ),[1,0],$fot(top)]]) ).
cnf(refute_1_1490,plain,
( join(X_358,join(complement(X_358),X_360)) != join(join(X_358,complement(X_358)),X_360)
| join(X_358,join(complement(X_358),X_360)) = join(top,X_360) ),
inference(resolve,[$cnf( $equal(join(X_358,complement(X_358)),top) )],[refute_1_1488,refute_1_1489]) ).
cnf(refute_1_1491,plain,
join(X_358,join(complement(X_358),X_360)) = join(top,X_360),
inference(resolve,[$cnf( $equal(join(X_358,join(complement(X_358),X_360)),join(join(X_358,complement(X_358)),X_360)) )],[refute_1_1485,refute_1_1490]) ).
cnf(refute_1_1492,plain,
join(zero,join(complement(zero),X_358)) = join(top,X_358),
inference(subst,[],[refute_1_1491:[bind(X_358,$fot(zero)),bind(X_360,$fot(X_358))]]) ).
cnf(refute_1_1493,plain,
join(complement(zero),join(zero,X_358)) = join(zero,join(complement(zero),X_358)),
inference(subst,[],[refute_1_568:[bind(X_358,$fot(zero)),bind(X_359,$fot(complement(zero))),bind(X_360,$fot(X_358))]]) ).
cnf(refute_1_1494,plain,
( join(complement(zero),join(zero,X_358)) != join(zero,join(complement(zero),X_358))
| join(zero,join(complement(zero),X_358)) != join(top,X_358)
| join(complement(zero),join(zero,X_358)) = join(top,X_358) ),
inference(subst,[],[refute_1_10:[bind(X,$fot(join(complement(zero),join(zero,X_358)))),bind(Y,$fot(join(zero,join(complement(zero),X_358)))),bind(Z,$fot(join(top,X_358)))]]) ).
cnf(refute_1_1495,plain,
( join(zero,join(complement(zero),X_358)) != join(top,X_358)
| join(complement(zero),join(zero,X_358)) = join(top,X_358) ),
inference(resolve,[$cnf( $equal(join(complement(zero),join(zero,X_358)),join(zero,join(complement(zero),X_358))) )],[refute_1_1493,refute_1_1494]) ).
cnf(refute_1_1496,plain,
join(complement(zero),join(zero,X_358)) = join(top,X_358),
inference(resolve,[$cnf( $equal(join(zero,join(complement(zero),X_358)),join(top,X_358)) )],[refute_1_1492,refute_1_1495]) ).
cnf(refute_1_1497,plain,
join(complement(top),complement(top)) = complement(top),
inference(subst,[],[refute_1_173:[bind(X1,$fot(top))]]) ).
cnf(refute_1_1498,plain,
( complement(top) != zero
| join(complement(top),complement(top)) != complement(top)
| join(complement(top),zero) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),complement(top)),complement(top)) ),[0,1],$fot(zero)]]) ).
cnf(refute_1_1499,plain,
( join(complement(top),complement(top)) != complement(top)
| join(complement(top),zero) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_1_74,refute_1_1498]) ).
cnf(refute_1_1500,plain,
join(complement(top),zero) = complement(top),
inference(resolve,[$cnf( $equal(join(complement(top),complement(top)),complement(top)) )],[refute_1_1497,refute_1_1499]) ).
cnf(refute_1_1501,plain,
join(zero,complement(top)) = join(zero,complement(top)),
introduced(tautology,[refl,[$fot(join(zero,complement(top)))]]) ).
cnf(refute_1_1502,plain,
( complement(top) != zero
| join(zero,complement(top)) != join(zero,complement(top))
| join(zero,complement(top)) = join(zero,zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,complement(top)),join(zero,complement(top))) ),[1,1],$fot(zero)]]) ).
cnf(refute_1_1503,plain,
( complement(top) != zero
| join(zero,complement(top)) = join(zero,zero) ),
inference(resolve,[$cnf( $equal(join(zero,complement(top)),join(zero,complement(top))) )],[refute_1_1501,refute_1_1502]) ).
cnf(refute_1_1504,plain,
join(zero,complement(top)) = join(zero,zero),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_1_74,refute_1_1503]) ).
cnf(refute_1_1505,plain,
join(complement(top),zero) = join(zero,complement(top)),
inference(subst,[],[refute_1_7:[bind(X0,$fot(zero)),bind(X1,$fot(complement(top)))]]) ).
cnf(refute_1_1506,plain,
( join(complement(top),zero) != join(zero,complement(top))
| join(zero,complement(top)) != join(zero,zero)
| join(complement(top),zero) = join(zero,zero) ),
inference(subst,[],[refute_1_10:[bind(X,$fot(join(complement(top),zero))),bind(Y,$fot(join(zero,complement(top)))),bind(Z,$fot(join(zero,zero)))]]) ).
cnf(refute_1_1507,plain,
( join(zero,complement(top)) != join(zero,zero)
| join(complement(top),zero) = join(zero,zero) ),
inference(resolve,[$cnf( $equal(join(complement(top),zero),join(zero,complement(top))) )],[refute_1_1505,refute_1_1506]) ).
cnf(refute_1_1508,plain,
join(complement(top),zero) = join(zero,zero),
inference(resolve,[$cnf( $equal(join(zero,complement(top)),join(zero,zero)) )],[refute_1_1504,refute_1_1507]) ).
cnf(refute_1_1509,plain,
( join(complement(top),zero) != complement(top)
| join(complement(top),zero) != join(zero,zero)
| join(zero,zero) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),zero),complement(top)) ),[0],$fot(join(zero,zero))]]) ).
cnf(refute_1_1510,plain,
( join(complement(top),zero) != complement(top)
| join(zero,zero) = complement(top) ),
inference(resolve,[$cnf( $equal(join(complement(top),zero),join(zero,zero)) )],[refute_1_1508,refute_1_1509]) ).
cnf(refute_1_1511,plain,
( complement(top) != zero
| join(zero,zero) != complement(top)
| join(zero,zero) = zero ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,zero),complement(top)) ),[1],$fot(zero)]]) ).
cnf(refute_1_1512,plain,
( join(zero,zero) != complement(top)
| join(zero,zero) = zero ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_1_74,refute_1_1511]) ).
cnf(refute_1_1513,plain,
( join(complement(top),zero) != complement(top)
| join(zero,zero) = zero ),
inference(resolve,[$cnf( $equal(join(zero,zero),complement(top)) )],[refute_1_1510,refute_1_1512]) ).
cnf(refute_1_1514,plain,
join(zero,zero) = zero,
inference(resolve,[$cnf( $equal(join(complement(top),zero),complement(top)) )],[refute_1_1500,refute_1_1513]) ).
cnf(refute_1_1515,plain,
meet(top,join(zero,zero)) = meet(top,join(zero,zero)),
introduced(tautology,[refl,[$fot(meet(top,join(zero,zero)))]]) ).
cnf(refute_1_1516,plain,
( join(zero,zero) != zero
| meet(top,join(zero,zero)) != meet(top,join(zero,zero))
| meet(top,join(zero,zero)) = meet(top,zero) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,join(zero,zero)),meet(top,join(zero,zero))) ),[1,1],$fot(zero)]]) ).
cnf(refute_1_1517,plain,
( join(zero,zero) != zero
| meet(top,join(zero,zero)) = meet(top,zero) ),
inference(resolve,[$cnf( $equal(meet(top,join(zero,zero)),meet(top,join(zero,zero))) )],[refute_1_1515,refute_1_1516]) ).
cnf(refute_1_1518,plain,
meet(top,join(zero,zero)) = meet(top,zero),
inference(resolve,[$cnf( $equal(join(zero,zero),zero) )],[refute_1_1514,refute_1_1517]) ).
cnf(refute_1_1519,plain,
( meet(top,join(zero,zero)) != meet(top,zero)
| meet(top,zero) != zero
| meet(top,join(zero,zero)) = zero ),
inference(subst,[],[refute_1_10:[bind(X,$fot(meet(top,join(zero,zero)))),bind(Y,$fot(meet(top,zero))),bind(Z,$fot(zero))]]) ).
cnf(refute_1_1520,plain,
( meet(top,zero) != zero
| meet(top,join(zero,zero)) = zero ),
inference(resolve,[$cnf( $equal(meet(top,join(zero,zero)),meet(top,zero)) )],[refute_1_1518,refute_1_1519]) ).
cnf(refute_1_1521,plain,
meet(top,join(zero,zero)) = zero,
inference(resolve,[$cnf( $equal(meet(top,zero),zero) )],[refute_1_1422,refute_1_1520]) ).
cnf(refute_1_1522,plain,
join(meet(top,join(zero,zero)),X_358) = join(meet(top,join(zero,zero)),X_358),
introduced(tautology,[refl,[$fot(join(meet(top,join(zero,zero)),X_358))]]) ).
cnf(refute_1_1523,plain,
( join(meet(top,join(zero,zero)),X_358) != join(meet(top,join(zero,zero)),X_358)
| meet(top,join(zero,zero)) != zero
| join(meet(top,join(zero,zero)),X_358) = join(zero,X_358) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(top,join(zero,zero)),X_358),join(meet(top,join(zero,zero)),X_358)) ),[1,0],$fot(zero)]]) ).
cnf(refute_1_1524,plain,
( meet(top,join(zero,zero)) != zero
| join(meet(top,join(zero,zero)),X_358) = join(zero,X_358) ),
inference(resolve,[$cnf( $equal(join(meet(top,join(zero,zero)),X_358),join(meet(top,join(zero,zero)),X_358)) )],[refute_1_1522,refute_1_1523]) ).
cnf(refute_1_1525,plain,
join(meet(top,join(zero,zero)),X_358) = join(zero,X_358),
inference(resolve,[$cnf( $equal(meet(top,join(zero,zero)),zero) )],[refute_1_1521,refute_1_1524]) ).
cnf(refute_1_1526,plain,
join(complement(zero),join(meet(top,join(zero,zero)),X_358)) = join(complement(zero),join(meet(top,join(zero,zero)),X_358)),
introduced(tautology,[refl,[$fot(join(complement(zero),join(meet(top,join(zero,zero)),X_358)))]]) ).
cnf(refute_1_1527,plain,
( join(complement(zero),join(meet(top,join(zero,zero)),X_358)) != join(complement(zero),join(meet(top,join(zero,zero)),X_358))
| join(meet(top,join(zero,zero)),X_358) != join(zero,X_358)
| join(complement(zero),join(meet(top,join(zero,zero)),X_358)) = join(complement(zero),join(zero,X_358)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(zero),join(meet(top,join(zero,zero)),X_358)),join(complement(zero),join(meet(top,join(zero,zero)),X_358))) ),[1,1],$fot(join(zero,X_358))]]) ).
cnf(refute_1_1528,plain,
( join(meet(top,join(zero,zero)),X_358) != join(zero,X_358)
| join(complement(zero),join(meet(top,join(zero,zero)),X_358)) = join(complement(zero),join(zero,X_358)) ),
inference(resolve,[$cnf( $equal(join(complement(zero),join(meet(top,join(zero,zero)),X_358)),join(complement(zero),join(meet(top,join(zero,zero)),X_358))) )],[refute_1_1526,refute_1_1527]) ).
cnf(refute_1_1529,plain,
join(complement(zero),join(meet(top,join(zero,zero)),X_358)) = join(complement(zero),join(zero,X_358)),
inference(resolve,[$cnf( $equal(join(meet(top,join(zero,zero)),X_358),join(zero,X_358)) )],[refute_1_1525,refute_1_1528]) ).
cnf(refute_1_1530,plain,
join(meet(top,top),join(meet(top,join(zero,zero)),X_358)) = join(meet(top,top),join(meet(top,join(zero,zero)),X_358)),
introduced(tautology,[refl,[$fot(join(meet(top,top),join(meet(top,join(zero,zero)),X_358)))]]) ).
cnf(refute_1_1531,plain,
( join(meet(top,top),join(meet(top,join(zero,zero)),X_358)) != join(meet(top,top),join(meet(top,join(zero,zero)),X_358))
| meet(top,top) != complement(zero)
| join(meet(top,top),join(meet(top,join(zero,zero)),X_358)) = join(complement(zero),join(meet(top,join(zero,zero)),X_358)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(top,top),join(meet(top,join(zero,zero)),X_358)),join(meet(top,top),join(meet(top,join(zero,zero)),X_358))) ),[1,0],$fot(complement(zero))]]) ).
cnf(refute_1_1532,plain,
( meet(top,top) != complement(zero)
| join(meet(top,top),join(meet(top,join(zero,zero)),X_358)) = join(complement(zero),join(meet(top,join(zero,zero)),X_358)) ),
inference(resolve,[$cnf( $equal(join(meet(top,top),join(meet(top,join(zero,zero)),X_358)),join(meet(top,top),join(meet(top,join(zero,zero)),X_358))) )],[refute_1_1530,refute_1_1531]) ).
cnf(refute_1_1533,plain,
join(meet(top,top),join(meet(top,join(zero,zero)),X_358)) = join(complement(zero),join(meet(top,join(zero,zero)),X_358)),
inference(resolve,[$cnf( $equal(meet(top,top),complement(zero)) )],[refute_1_466,refute_1_1532]) ).
cnf(refute_1_1534,plain,
( join(complement(zero),join(meet(top,join(zero,zero)),X_358)) != join(complement(zero),join(zero,X_358))
| join(meet(top,top),join(meet(top,join(zero,zero)),X_358)) != join(complement(zero),join(meet(top,join(zero,zero)),X_358))
| join(meet(top,top),join(meet(top,join(zero,zero)),X_358)) = join(complement(zero),join(zero,X_358)) ),
inference(subst,[],[refute_1_10:[bind(X,$fot(join(meet(top,top),join(meet(top,join(zero,zero)),X_358)))),bind(Y,$fot(join(complement(zero),join(meet(top,join(zero,zero)),X_358)))),bind(Z,$fot(join(complement(zero),join(zero,X_358))))]]) ).
cnf(refute_1_1535,plain,
( join(complement(zero),join(meet(top,join(zero,zero)),X_358)) != join(complement(zero),join(zero,X_358))
| join(meet(top,top),join(meet(top,join(zero,zero)),X_358)) = join(complement(zero),join(zero,X_358)) ),
inference(resolve,[$cnf( $equal(join(meet(top,top),join(meet(top,join(zero,zero)),X_358)),join(complement(zero),join(meet(top,join(zero,zero)),X_358))) )],[refute_1_1533,refute_1_1534]) ).
cnf(refute_1_1536,plain,
join(meet(top,top),join(meet(top,join(zero,zero)),X_358)) = join(complement(zero),join(zero,X_358)),
inference(resolve,[$cnf( $equal(join(complement(zero),join(meet(top,join(zero,zero)),X_358)),join(complement(zero),join(zero,X_358))) )],[refute_1_1529,refute_1_1535]) ).
cnf(refute_1_1537,plain,
( join(complement(zero),join(zero,X_358)) != join(top,X_358)
| join(meet(top,top),join(meet(top,join(zero,zero)),X_358)) != join(complement(zero),join(zero,X_358))
| join(meet(top,top),join(meet(top,join(zero,zero)),X_358)) = join(top,X_358) ),
inference(subst,[],[refute_1_10:[bind(X,$fot(join(meet(top,top),join(meet(top,join(zero,zero)),X_358)))),bind(Y,$fot(join(complement(zero),join(zero,X_358)))),bind(Z,$fot(join(top,X_358)))]]) ).
cnf(refute_1_1538,plain,
( join(complement(zero),join(zero,X_358)) != join(top,X_358)
| join(meet(top,top),join(meet(top,join(zero,zero)),X_358)) = join(top,X_358) ),
inference(resolve,[$cnf( $equal(join(meet(top,top),join(meet(top,join(zero,zero)),X_358)),join(complement(zero),join(zero,X_358))) )],[refute_1_1536,refute_1_1537]) ).
cnf(refute_1_1539,plain,
join(meet(top,top),join(meet(top,join(zero,zero)),X_358)) = join(top,X_358),
inference(resolve,[$cnf( $equal(join(complement(zero),join(zero,X_358)),join(top,X_358)) )],[refute_1_1496,refute_1_1538]) ).
cnf(refute_1_1540,plain,
join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),X_358))) = join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),X_358))),
introduced(tautology,[refl,[$fot(join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),X_358))))]]) ).
cnf(refute_1_1541,plain,
( join(meet(top,top),join(meet(top,join(zero,zero)),X_358)) != join(top,X_358)
| join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),X_358))) != join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),X_358)))
| join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),X_358))) = join(zero,join(top,X_358)) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),X_358))),join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),X_358)))) ),[1,1],$fot(join(top,X_358))]]) ).
cnf(refute_1_1542,plain,
( join(meet(top,top),join(meet(top,join(zero,zero)),X_358)) != join(top,X_358)
| join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),X_358))) = join(zero,join(top,X_358)) ),
inference(resolve,[$cnf( $equal(join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),X_358))),join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),X_358)))) )],[refute_1_1540,refute_1_1541]) ).
cnf(refute_1_1543,plain,
join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),X_358))) = join(zero,join(top,X_358)),
inference(resolve,[$cnf( $equal(join(meet(top,top),join(meet(top,join(zero,zero)),X_358)),join(top,X_358)) )],[refute_1_1539,refute_1_1542]) ).
cnf(refute_1_1544,plain,
( join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),X_358))) != join(zero,join(top,X_358))
| join(zero,join(top,X_358)) != join(top,X_358)
| join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),X_358))) = join(top,X_358) ),
inference(subst,[],[refute_1_10:[bind(X,$fot(join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),X_358))))),bind(Y,$fot(join(zero,join(top,X_358)))),bind(Z,$fot(join(top,X_358)))]]) ).
cnf(refute_1_1545,plain,
( join(zero,join(top,X_358)) != join(top,X_358)
| join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),X_358))) = join(top,X_358) ),
inference(resolve,[$cnf( $equal(join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),X_358))),join(zero,join(top,X_358))) )],[refute_1_1543,refute_1_1544]) ).
cnf(refute_1_1546,plain,
join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),X_358))) = join(top,X_358),
inference(resolve,[$cnf( $equal(join(zero,join(top,X_358)),join(top,X_358)) )],[refute_1_1484,refute_1_1545]) ).
cnf(refute_1_1547,plain,
( join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),X_358))) != join(top,X_358)
| top != join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),X_358)))
| top = join(top,X_358) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),X_358)))) ),[1],$fot(join(top,X_358))]]) ).
cnf(refute_1_1548,plain,
( top != join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),X_358)))
| top = join(top,X_358) ),
inference(resolve,[$cnf( $equal(join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),X_358))),join(top,X_358)) )],[refute_1_1546,refute_1_1547]) ).
cnf(refute_1_1549,plain,
( join(X_358,top) != join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),X_358)))
| top = join(top,X_358) ),
inference(resolve,[$cnf( $equal(top,join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),X_358)))) )],[refute_1_1479,refute_1_1548]) ).
cnf(refute_1_1550,plain,
top = join(top,X_358),
inference(resolve,[$cnf( $equal(join(X_358,top),join(zero,join(meet(top,top),join(meet(top,join(zero,zero)),X_358)))) )],[refute_1_1476,refute_1_1549]) ).
cnf(refute_1_1551,plain,
( top != join(top,X_358)
| join(top,X_358) = top ),
inference(subst,[],[refute_1_5:[bind(X,$fot(top)),bind(Y,$fot(join(top,X_358)))]]) ).
cnf(refute_1_1552,plain,
join(top,X_358) = top,
inference(resolve,[$cnf( $equal(top,join(top,X_358)) )],[refute_1_1550,refute_1_1551]) ).
cnf(refute_1_1553,plain,
join(top,X1) = top,
inference(subst,[],[refute_1_1552:[bind(X_358,$fot(X1))]]) ).
cnf(refute_1_1554,plain,
complement(join(top,X1)) = complement(join(top,X1)),
introduced(tautology,[refl,[$fot(complement(join(top,X1)))]]) ).
cnf(refute_1_1555,plain,
( complement(join(top,X1)) != complement(join(top,X1))
| join(top,X1) != top
| complement(join(top,X1)) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(top,X1)),complement(join(top,X1))) ),[1,0],$fot(top)]]) ).
cnf(refute_1_1556,plain,
( join(top,X1) != top
| complement(join(top,X1)) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(join(top,X1)),complement(join(top,X1))) )],[refute_1_1554,refute_1_1555]) ).
cnf(refute_1_1557,plain,
complement(join(top,X1)) = complement(top),
inference(resolve,[$cnf( $equal(join(top,X1),top) )],[refute_1_1553,refute_1_1556]) ).
cnf(refute_1_1558,plain,
( complement(join(top,X1)) != complement(top)
| complement(top) != zero
| complement(join(top,X1)) = zero ),
inference(subst,[],[refute_1_10:[bind(X,$fot(complement(join(top,X1)))),bind(Y,$fot(complement(top))),bind(Z,$fot(zero))]]) ).
cnf(refute_1_1559,plain,
( complement(top) != zero
| complement(join(top,X1)) = zero ),
inference(resolve,[$cnf( $equal(complement(join(top,X1)),complement(top)) )],[refute_1_1557,refute_1_1558]) ).
cnf(refute_1_1560,plain,
complement(join(top,X1)) = zero,
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_1_74,refute_1_1559]) ).
cnf(refute_1_1561,plain,
join(meet(zero,X1),complement(join(top,X1))) = join(meet(zero,X1),complement(join(top,X1))),
introduced(tautology,[refl,[$fot(join(meet(zero,X1),complement(join(top,X1))))]]) ).
cnf(refute_1_1562,plain,
( complement(join(top,X1)) != zero
| join(meet(zero,X1),complement(join(top,X1))) != join(meet(zero,X1),complement(join(top,X1)))
| join(meet(zero,X1),complement(join(top,X1))) = join(meet(zero,X1),zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(zero,X1),complement(join(top,X1))),join(meet(zero,X1),complement(join(top,X1)))) ),[1,1],$fot(zero)]]) ).
cnf(refute_1_1563,plain,
( complement(join(top,X1)) != zero
| join(meet(zero,X1),complement(join(top,X1))) = join(meet(zero,X1),zero) ),
inference(resolve,[$cnf( $equal(join(meet(zero,X1),complement(join(top,X1))),join(meet(zero,X1),complement(join(top,X1)))) )],[refute_1_1561,refute_1_1562]) ).
cnf(refute_1_1564,plain,
join(meet(zero,X1),complement(join(top,X1))) = join(meet(zero,X1),zero),
inference(resolve,[$cnf( $equal(complement(join(top,X1)),zero) )],[refute_1_1560,refute_1_1563]) ).
cnf(refute_1_1565,plain,
( join(meet(zero,X1),complement(join(top,X1))) != join(meet(zero,X1),zero)
| join(meet(zero,X1),zero) != meet(zero,X1)
| join(meet(zero,X1),complement(join(top,X1))) = meet(zero,X1) ),
inference(subst,[],[refute_1_10:[bind(X,$fot(join(meet(zero,X1),complement(join(top,X1))))),bind(Y,$fot(join(meet(zero,X1),zero))),bind(Z,$fot(meet(zero,X1)))]]) ).
cnf(refute_1_1566,plain,
( join(meet(zero,X1),zero) != meet(zero,X1)
| join(meet(zero,X1),complement(join(top,X1))) = meet(zero,X1) ),
inference(resolve,[$cnf( $equal(join(meet(zero,X1),complement(join(top,X1))),join(meet(zero,X1),zero)) )],[refute_1_1564,refute_1_1565]) ).
cnf(refute_1_1567,plain,
join(meet(zero,X1),complement(join(top,X1))) = meet(zero,X1),
inference(resolve,[$cnf( $equal(join(meet(zero,X1),zero),meet(zero,X1)) )],[refute_1_1427,refute_1_1566]) ).
cnf(refute_1_1568,plain,
( join(meet(zero,X1),complement(join(top,X1))) != meet(zero,X1)
| zero != join(meet(zero,X1),complement(join(top,X1)))
| zero = meet(zero,X1) ),
introduced(tautology,[equality,[$cnf( $equal(zero,join(meet(zero,X1),complement(join(top,X1)))) ),[1],$fot(meet(zero,X1))]]) ).
cnf(refute_1_1569,plain,
( zero != join(meet(zero,X1),complement(join(top,X1)))
| zero = meet(zero,X1) ),
inference(resolve,[$cnf( $equal(join(meet(zero,X1),complement(join(top,X1))),meet(zero,X1)) )],[refute_1_1567,refute_1_1568]) ).
cnf(refute_1_1570,plain,
zero = meet(zero,X1),
inference(resolve,[$cnf( $equal(zero,join(meet(zero,X1),complement(join(top,X1)))) )],[refute_1_1426,refute_1_1569]) ).
cnf(refute_1_1571,plain,
( zero != meet(zero,X1)
| meet(zero,X1) = zero ),
inference(subst,[],[refute_1_5:[bind(X,$fot(zero)),bind(Y,$fot(meet(zero,X1)))]]) ).
cnf(refute_1_1572,plain,
meet(zero,X1) = zero,
inference(resolve,[$cnf( $equal(zero,meet(zero,X1)) )],[refute_1_1570,refute_1_1571]) ).
cnf(refute_1_1573,plain,
meet(zero,top) = zero,
inference(subst,[],[refute_1_1572:[bind(X1,$fot(top))]]) ).
cnf(refute_1_1574,plain,
meet(zero,complement(converse(complement(composition(top,top))))) = meet(zero,complement(converse(complement(composition(top,top))))),
introduced(tautology,[refl,[$fot(meet(zero,complement(converse(complement(composition(top,top))))))]]) ).
cnf(refute_1_1575,plain,
( complement(converse(complement(composition(top,top)))) != top
| meet(zero,complement(converse(complement(composition(top,top))))) != meet(zero,complement(converse(complement(composition(top,top)))))
| meet(zero,complement(converse(complement(composition(top,top))))) = meet(zero,top) ),
introduced(tautology,[equality,[$cnf( $equal(meet(zero,complement(converse(complement(composition(top,top))))),meet(zero,complement(converse(complement(composition(top,top)))))) ),[1,1],$fot(top)]]) ).
cnf(refute_1_1576,plain,
( complement(converse(complement(composition(top,top)))) != top
| meet(zero,complement(converse(complement(composition(top,top))))) = meet(zero,top) ),
inference(resolve,[$cnf( $equal(meet(zero,complement(converse(complement(composition(top,top))))),meet(zero,complement(converse(complement(composition(top,top)))))) )],[refute_1_1574,refute_1_1575]) ).
cnf(refute_1_1577,plain,
meet(zero,complement(converse(complement(composition(top,top))))) = meet(zero,top),
inference(resolve,[$cnf( $equal(complement(converse(complement(composition(top,top)))),top) )],[refute_1_1413,refute_1_1576]) ).
cnf(refute_1_1578,plain,
meet(complement(composition(top,top)),complement(converse(complement(composition(top,top))))) = meet(complement(composition(top,top)),complement(converse(complement(composition(top,top))))),
introduced(tautology,[refl,[$fot(meet(complement(composition(top,top)),complement(converse(complement(composition(top,top))))))]]) ).
cnf(refute_1_1579,plain,
( complement(composition(top,top)) != zero
| meet(complement(composition(top,top)),complement(converse(complement(composition(top,top))))) != meet(complement(composition(top,top)),complement(converse(complement(composition(top,top)))))
| meet(complement(composition(top,top)),complement(converse(complement(composition(top,top))))) = meet(zero,complement(converse(complement(composition(top,top))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(composition(top,top)),complement(converse(complement(composition(top,top))))),meet(complement(composition(top,top)),complement(converse(complement(composition(top,top)))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_1_1580,plain,
( complement(composition(top,top)) != zero
| meet(complement(composition(top,top)),complement(converse(complement(composition(top,top))))) = meet(zero,complement(converse(complement(composition(top,top))))) ),
inference(resolve,[$cnf( $equal(meet(complement(composition(top,top)),complement(converse(complement(composition(top,top))))),meet(complement(composition(top,top)),complement(converse(complement(composition(top,top)))))) )],[refute_1_1578,refute_1_1579]) ).
cnf(refute_1_1581,plain,
meet(complement(composition(top,top)),complement(converse(complement(composition(top,top))))) = meet(zero,complement(converse(complement(composition(top,top))))),
inference(resolve,[$cnf( $equal(complement(composition(top,top)),zero) )],[refute_1_1399,refute_1_1580]) ).
cnf(refute_1_1582,plain,
( meet(complement(composition(top,top)),complement(converse(complement(composition(top,top))))) != meet(zero,complement(converse(complement(composition(top,top)))))
| meet(zero,complement(converse(complement(composition(top,top))))) != meet(zero,top)
| meet(complement(composition(top,top)),complement(converse(complement(composition(top,top))))) = meet(zero,top) ),
inference(subst,[],[refute_1_10:[bind(X,$fot(meet(complement(composition(top,top)),complement(converse(complement(composition(top,top))))))),bind(Y,$fot(meet(zero,complement(converse(complement(composition(top,top))))))),bind(Z,$fot(meet(zero,top)))]]) ).
cnf(refute_1_1583,plain,
( meet(zero,complement(converse(complement(composition(top,top))))) != meet(zero,top)
| meet(complement(composition(top,top)),complement(converse(complement(composition(top,top))))) = meet(zero,top) ),
inference(resolve,[$cnf( $equal(meet(complement(composition(top,top)),complement(converse(complement(composition(top,top))))),meet(zero,complement(converse(complement(composition(top,top)))))) )],[refute_1_1581,refute_1_1582]) ).
cnf(refute_1_1584,plain,
meet(complement(composition(top,top)),complement(converse(complement(composition(top,top))))) = meet(zero,top),
inference(resolve,[$cnf( $equal(meet(zero,complement(converse(complement(composition(top,top))))),meet(zero,top)) )],[refute_1_1577,refute_1_1583]) ).
cnf(refute_1_1585,plain,
( meet(complement(composition(top,top)),complement(converse(complement(composition(top,top))))) != meet(zero,top)
| meet(zero,top) != zero
| meet(complement(composition(top,top)),complement(converse(complement(composition(top,top))))) = zero ),
inference(subst,[],[refute_1_10:[bind(X,$fot(meet(complement(composition(top,top)),complement(converse(complement(composition(top,top))))))),bind(Y,$fot(meet(zero,top))),bind(Z,$fot(zero))]]) ).
cnf(refute_1_1586,plain,
( meet(zero,top) != zero
| meet(complement(composition(top,top)),complement(converse(complement(composition(top,top))))) = zero ),
inference(resolve,[$cnf( $equal(meet(complement(composition(top,top)),complement(converse(complement(composition(top,top))))),meet(zero,top)) )],[refute_1_1584,refute_1_1585]) ).
cnf(refute_1_1587,plain,
meet(complement(composition(top,top)),complement(converse(complement(composition(top,top))))) = zero,
inference(resolve,[$cnf( $equal(meet(zero,top),zero) )],[refute_1_1573,refute_1_1586]) ).
cnf(refute_1_1588,plain,
meet(top,meet(complement(composition(top,top)),complement(converse(complement(composition(top,top)))))) = meet(top,meet(complement(composition(top,top)),complement(converse(complement(composition(top,top)))))),
introduced(tautology,[refl,[$fot(meet(top,meet(complement(composition(top,top)),complement(converse(complement(composition(top,top)))))))]]) ).
cnf(refute_1_1589,plain,
( meet(complement(composition(top,top)),complement(converse(complement(composition(top,top))))) != zero
| meet(top,meet(complement(composition(top,top)),complement(converse(complement(composition(top,top)))))) != meet(top,meet(complement(composition(top,top)),complement(converse(complement(composition(top,top))))))
| meet(top,meet(complement(composition(top,top)),complement(converse(complement(composition(top,top)))))) = meet(top,zero) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,meet(complement(composition(top,top)),complement(converse(complement(composition(top,top)))))),meet(top,meet(complement(composition(top,top)),complement(converse(complement(composition(top,top))))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_1_1590,plain,
( meet(complement(composition(top,top)),complement(converse(complement(composition(top,top))))) != zero
| meet(top,meet(complement(composition(top,top)),complement(converse(complement(composition(top,top)))))) = meet(top,zero) ),
inference(resolve,[$cnf( $equal(meet(top,meet(complement(composition(top,top)),complement(converse(complement(composition(top,top)))))),meet(top,meet(complement(composition(top,top)),complement(converse(complement(composition(top,top))))))) )],[refute_1_1588,refute_1_1589]) ).
cnf(refute_1_1591,plain,
meet(top,meet(complement(composition(top,top)),complement(converse(complement(composition(top,top)))))) = meet(top,zero),
inference(resolve,[$cnf( $equal(meet(complement(composition(top,top)),complement(converse(complement(composition(top,top))))),zero) )],[refute_1_1587,refute_1_1590]) ).
cnf(refute_1_1592,plain,
meet(complement(converse(complement(composition(top,top)))),meet(complement(composition(top,top)),complement(converse(complement(composition(top,top)))))) = meet(complement(converse(complement(composition(top,top)))),meet(complement(composition(top,top)),complement(converse(complement(composition(top,top)))))),
introduced(tautology,[refl,[$fot(meet(complement(converse(complement(composition(top,top)))),meet(complement(composition(top,top)),complement(converse(complement(composition(top,top)))))))]]) ).
cnf(refute_1_1593,plain,
( complement(converse(complement(composition(top,top)))) != top
| meet(complement(converse(complement(composition(top,top)))),meet(complement(composition(top,top)),complement(converse(complement(composition(top,top)))))) != meet(complement(converse(complement(composition(top,top)))),meet(complement(composition(top,top)),complement(converse(complement(composition(top,top))))))
| meet(complement(converse(complement(composition(top,top)))),meet(complement(composition(top,top)),complement(converse(complement(composition(top,top)))))) = meet(top,meet(complement(composition(top,top)),complement(converse(complement(composition(top,top)))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(converse(complement(composition(top,top)))),meet(complement(composition(top,top)),complement(converse(complement(composition(top,top)))))),meet(complement(converse(complement(composition(top,top)))),meet(complement(composition(top,top)),complement(converse(complement(composition(top,top))))))) ),[1,0],$fot(top)]]) ).
cnf(refute_1_1594,plain,
( complement(converse(complement(composition(top,top)))) != top
| meet(complement(converse(complement(composition(top,top)))),meet(complement(composition(top,top)),complement(converse(complement(composition(top,top)))))) = meet(top,meet(complement(composition(top,top)),complement(converse(complement(composition(top,top)))))) ),
inference(resolve,[$cnf( $equal(meet(complement(converse(complement(composition(top,top)))),meet(complement(composition(top,top)),complement(converse(complement(composition(top,top)))))),meet(complement(converse(complement(composition(top,top)))),meet(complement(composition(top,top)),complement(converse(complement(composition(top,top))))))) )],[refute_1_1592,refute_1_1593]) ).
cnf(refute_1_1595,plain,
meet(complement(converse(complement(composition(top,top)))),meet(complement(composition(top,top)),complement(converse(complement(composition(top,top)))))) = meet(top,meet(complement(composition(top,top)),complement(converse(complement(composition(top,top)))))),
inference(resolve,[$cnf( $equal(complement(converse(complement(composition(top,top)))),top) )],[refute_1_1413,refute_1_1594]) ).
cnf(refute_1_1596,plain,
( meet(complement(converse(complement(composition(top,top)))),meet(complement(composition(top,top)),complement(converse(complement(composition(top,top)))))) != meet(top,meet(complement(composition(top,top)),complement(converse(complement(composition(top,top))))))
| meet(top,meet(complement(composition(top,top)),complement(converse(complement(composition(top,top)))))) != meet(top,zero)
| meet(complement(converse(complement(composition(top,top)))),meet(complement(composition(top,top)),complement(converse(complement(composition(top,top)))))) = meet(top,zero) ),
inference(subst,[],[refute_1_10:[bind(X,$fot(meet(complement(converse(complement(composition(top,top)))),meet(complement(composition(top,top)),complement(converse(complement(composition(top,top)))))))),bind(Y,$fot(meet(top,meet(complement(composition(top,top)),complement(converse(complement(composition(top,top)))))))),bind(Z,$fot(meet(top,zero)))]]) ).
cnf(refute_1_1597,plain,
( meet(top,meet(complement(composition(top,top)),complement(converse(complement(composition(top,top)))))) != meet(top,zero)
| meet(complement(converse(complement(composition(top,top)))),meet(complement(composition(top,top)),complement(converse(complement(composition(top,top)))))) = meet(top,zero) ),
inference(resolve,[$cnf( $equal(meet(complement(converse(complement(composition(top,top)))),meet(complement(composition(top,top)),complement(converse(complement(composition(top,top)))))),meet(top,meet(complement(composition(top,top)),complement(converse(complement(composition(top,top))))))) )],[refute_1_1595,refute_1_1596]) ).
cnf(refute_1_1598,plain,
meet(complement(converse(complement(composition(top,top)))),meet(complement(composition(top,top)),complement(converse(complement(composition(top,top)))))) = meet(top,zero),
inference(resolve,[$cnf( $equal(meet(top,meet(complement(composition(top,top)),complement(converse(complement(composition(top,top)))))),meet(top,zero)) )],[refute_1_1591,refute_1_1597]) ).
cnf(refute_1_1599,plain,
( meet(complement(converse(complement(composition(top,top)))),meet(complement(composition(top,top)),complement(converse(complement(composition(top,top)))))) != meet(top,zero)
| meet(top,zero) != zero
| meet(complement(converse(complement(composition(top,top)))),meet(complement(composition(top,top)),complement(converse(complement(composition(top,top)))))) = zero ),
inference(subst,[],[refute_1_10:[bind(X,$fot(meet(complement(converse(complement(composition(top,top)))),meet(complement(composition(top,top)),complement(converse(complement(composition(top,top)))))))),bind(Y,$fot(meet(top,zero))),bind(Z,$fot(zero))]]) ).
cnf(refute_1_1600,plain,
( meet(top,zero) != zero
| meet(complement(converse(complement(composition(top,top)))),meet(complement(composition(top,top)),complement(converse(complement(composition(top,top)))))) = zero ),
inference(resolve,[$cnf( $equal(meet(complement(converse(complement(composition(top,top)))),meet(complement(composition(top,top)),complement(converse(complement(composition(top,top)))))),meet(top,zero)) )],[refute_1_1598,refute_1_1599]) ).
cnf(refute_1_1601,plain,
meet(complement(converse(complement(composition(top,top)))),meet(complement(composition(top,top)),complement(converse(complement(composition(top,top)))))) = zero,
inference(resolve,[$cnf( $equal(meet(top,zero),zero) )],[refute_1_1422,refute_1_1600]) ).
cnf(refute_1_1602,plain,
join(composition(top,top),meet(complement(converse(complement(composition(top,top)))),meet(complement(composition(top,top)),complement(converse(complement(composition(top,top))))))) = join(composition(top,top),meet(complement(converse(complement(composition(top,top)))),meet(complement(composition(top,top)),complement(converse(complement(composition(top,top))))))),
introduced(tautology,[refl,[$fot(join(composition(top,top),meet(complement(converse(complement(composition(top,top)))),meet(complement(composition(top,top)),complement(converse(complement(composition(top,top))))))))]]) ).
cnf(refute_1_1603,plain,
( join(composition(top,top),meet(complement(converse(complement(composition(top,top)))),meet(complement(composition(top,top)),complement(converse(complement(composition(top,top))))))) != join(composition(top,top),meet(complement(converse(complement(composition(top,top)))),meet(complement(composition(top,top)),complement(converse(complement(composition(top,top)))))))
| meet(complement(converse(complement(composition(top,top)))),meet(complement(composition(top,top)),complement(converse(complement(composition(top,top)))))) != zero
| join(composition(top,top),meet(complement(converse(complement(composition(top,top)))),meet(complement(composition(top,top)),complement(converse(complement(composition(top,top))))))) = join(composition(top,top),zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(top,top),meet(complement(converse(complement(composition(top,top)))),meet(complement(composition(top,top)),complement(converse(complement(composition(top,top))))))),join(composition(top,top),meet(complement(converse(complement(composition(top,top)))),meet(complement(composition(top,top)),complement(converse(complement(composition(top,top)))))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_1_1604,plain,
( meet(complement(converse(complement(composition(top,top)))),meet(complement(composition(top,top)),complement(converse(complement(composition(top,top)))))) != zero
| join(composition(top,top),meet(complement(converse(complement(composition(top,top)))),meet(complement(composition(top,top)),complement(converse(complement(composition(top,top))))))) = join(composition(top,top),zero) ),
inference(resolve,[$cnf( $equal(join(composition(top,top),meet(complement(converse(complement(composition(top,top)))),meet(complement(composition(top,top)),complement(converse(complement(composition(top,top))))))),join(composition(top,top),meet(complement(converse(complement(composition(top,top)))),meet(complement(composition(top,top)),complement(converse(complement(composition(top,top)))))))) )],[refute_1_1602,refute_1_1603]) ).
cnf(refute_1_1605,plain,
join(composition(top,top),meet(complement(converse(complement(composition(top,top)))),meet(complement(composition(top,top)),complement(converse(complement(composition(top,top))))))) = join(composition(top,top),zero),
inference(resolve,[$cnf( $equal(meet(complement(converse(complement(composition(top,top)))),meet(complement(composition(top,top)),complement(converse(complement(composition(top,top)))))),zero) )],[refute_1_1601,refute_1_1604]) ).
cnf(refute_1_1606,plain,
( join(composition(top,top),meet(complement(converse(complement(composition(top,top)))),meet(complement(composition(top,top)),complement(converse(complement(composition(top,top))))))) != join(composition(top,top),zero)
| join(composition(top,top),zero) != composition(top,top)
| join(composition(top,top),meet(complement(converse(complement(composition(top,top)))),meet(complement(composition(top,top)),complement(converse(complement(composition(top,top))))))) = composition(top,top) ),
inference(subst,[],[refute_1_10:[bind(X,$fot(join(composition(top,top),meet(complement(converse(complement(composition(top,top)))),meet(complement(composition(top,top)),complement(converse(complement(composition(top,top))))))))),bind(Y,$fot(join(composition(top,top),zero))),bind(Z,$fot(composition(top,top)))]]) ).
cnf(refute_1_1607,plain,
( join(composition(top,top),zero) != composition(top,top)
| join(composition(top,top),meet(complement(converse(complement(composition(top,top)))),meet(complement(composition(top,top)),complement(converse(complement(composition(top,top))))))) = composition(top,top) ),
inference(resolve,[$cnf( $equal(join(composition(top,top),meet(complement(converse(complement(composition(top,top)))),meet(complement(composition(top,top)),complement(converse(complement(composition(top,top))))))),join(composition(top,top),zero)) )],[refute_1_1605,refute_1_1606]) ).
cnf(refute_1_1608,plain,
join(composition(top,top),meet(complement(converse(complement(composition(top,top)))),meet(complement(composition(top,top)),complement(converse(complement(composition(top,top))))))) = composition(top,top),
inference(resolve,[$cnf( $equal(join(composition(top,top),zero),composition(top,top)) )],[refute_1_1416,refute_1_1607]) ).
cnf(refute_1_1609,plain,
( join(composition(top,top),meet(complement(converse(complement(composition(top,top)))),meet(complement(composition(top,top)),complement(converse(complement(composition(top,top))))))) != composition(top,top)
| top != join(composition(top,top),meet(complement(converse(complement(composition(top,top)))),meet(complement(composition(top,top)),complement(converse(complement(composition(top,top)))))))
| top = composition(top,top) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(composition(top,top),meet(complement(converse(complement(composition(top,top)))),meet(complement(composition(top,top)),complement(converse(complement(composition(top,top)))))))) ),[1],$fot(composition(top,top))]]) ).
cnf(refute_1_1610,plain,
( top != join(composition(top,top),meet(complement(converse(complement(composition(top,top)))),meet(complement(composition(top,top)),complement(converse(complement(composition(top,top)))))))
| top = composition(top,top) ),
inference(resolve,[$cnf( $equal(join(composition(top,top),meet(complement(converse(complement(composition(top,top)))),meet(complement(composition(top,top)),complement(converse(complement(composition(top,top))))))),composition(top,top)) )],[refute_1_1608,refute_1_1609]) ).
cnf(refute_1_1611,plain,
( complement(converse(complement(composition(top,top)))) != join(composition(top,top),meet(complement(converse(complement(composition(top,top)))),meet(complement(composition(top,top)),complement(converse(complement(composition(top,top)))))))
| top = composition(top,top) ),
inference(resolve,[$cnf( $equal(top,join(composition(top,top),meet(complement(converse(complement(composition(top,top)))),meet(complement(composition(top,top)),complement(converse(complement(composition(top,top)))))))) )],[refute_1_1415,refute_1_1610]) ).
cnf(refute_1_1612,plain,
top = composition(top,top),
inference(resolve,[$cnf( $equal(complement(converse(complement(composition(top,top)))),join(composition(top,top),meet(complement(converse(complement(composition(top,top)))),meet(complement(composition(top,top)),complement(converse(complement(composition(top,top)))))))) )],[refute_1_1369,refute_1_1611]) ).
cnf(refute_1_1613,plain,
( top != composition(top,top)
| composition(top,top) = top ),
inference(subst,[],[refute_1_5:[bind(X,$fot(top)),bind(Y,$fot(composition(top,top)))]]) ).
cnf(refute_1_1614,plain,
composition(top,top) = top,
inference(resolve,[$cnf( $equal(top,composition(top,top)) )],[refute_1_1612,refute_1_1613]) ).
cnf(refute_1_1615,plain,
composition(skolemFOFtoCNF_X0_1,composition(top,top)) = composition(skolemFOFtoCNF_X0_1,composition(top,top)),
introduced(tautology,[refl,[$fot(composition(skolemFOFtoCNF_X0_1,composition(top,top)))]]) ).
cnf(refute_1_1616,plain,
( composition(skolemFOFtoCNF_X0_1,composition(top,top)) != composition(skolemFOFtoCNF_X0_1,composition(top,top))
| composition(top,top) != top
| composition(skolemFOFtoCNF_X0_1,composition(top,top)) = composition(skolemFOFtoCNF_X0_1,top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(skolemFOFtoCNF_X0_1,composition(top,top)),composition(skolemFOFtoCNF_X0_1,composition(top,top))) ),[1,1],$fot(top)]]) ).
cnf(refute_1_1617,plain,
( composition(top,top) != top
| composition(skolemFOFtoCNF_X0_1,composition(top,top)) = composition(skolemFOFtoCNF_X0_1,top) ),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0_1,composition(top,top)),composition(skolemFOFtoCNF_X0_1,composition(top,top))) )],[refute_1_1615,refute_1_1616]) ).
cnf(refute_1_1618,plain,
composition(skolemFOFtoCNF_X0_1,composition(top,top)) = composition(skolemFOFtoCNF_X0_1,top),
inference(resolve,[$cnf( $equal(composition(top,top),top) )],[refute_1_1614,refute_1_1617]) ).
cnf(refute_1_1619,plain,
( composition(X0,composition(X1,X2)) != composition(composition(X0,X1),X2)
| composition(composition(X0,X1),X2) = composition(X0,composition(X1,X2)) ),
inference(subst,[],[refute_1_5:[bind(X,$fot(composition(X0,composition(X1,X2)))),bind(Y,$fot(composition(composition(X0,X1),X2)))]]) ).
cnf(refute_1_1620,plain,
composition(composition(X0,X1),X2) = composition(X0,composition(X1,X2)),
inference(resolve,[$cnf( $equal(composition(X0,composition(X1,X2)),composition(composition(X0,X1),X2)) )],[refute_1_139,refute_1_1619]) ).
cnf(refute_1_1621,plain,
composition(composition(skolemFOFtoCNF_X0_1,top),top) = composition(skolemFOFtoCNF_X0_1,composition(top,top)),
inference(subst,[],[refute_1_1620:[bind(X0,$fot(skolemFOFtoCNF_X0_1)),bind(X1,$fot(top)),bind(X2,$fot(top))]]) ).
cnf(refute_1_1622,plain,
( composition(composition(skolemFOFtoCNF_X0_1,top),top) != composition(skolemFOFtoCNF_X0_1,composition(top,top))
| composition(skolemFOFtoCNF_X0_1,composition(top,top)) != composition(skolemFOFtoCNF_X0_1,top)
| composition(composition(skolemFOFtoCNF_X0_1,top),top) = composition(skolemFOFtoCNF_X0_1,top) ),
inference(subst,[],[refute_1_10:[bind(X,$fot(composition(composition(skolemFOFtoCNF_X0_1,top),top))),bind(Y,$fot(composition(skolemFOFtoCNF_X0_1,composition(top,top)))),bind(Z,$fot(composition(skolemFOFtoCNF_X0_1,top)))]]) ).
cnf(refute_1_1623,plain,
( composition(skolemFOFtoCNF_X0_1,composition(top,top)) != composition(skolemFOFtoCNF_X0_1,top)
| composition(composition(skolemFOFtoCNF_X0_1,top),top) = composition(skolemFOFtoCNF_X0_1,top) ),
inference(resolve,[$cnf( $equal(composition(composition(skolemFOFtoCNF_X0_1,top),top),composition(skolemFOFtoCNF_X0_1,composition(top,top))) )],[refute_1_1621,refute_1_1622]) ).
cnf(refute_1_1624,plain,
composition(composition(skolemFOFtoCNF_X0_1,top),top) = composition(skolemFOFtoCNF_X0_1,top),
inference(resolve,[$cnf( $equal(composition(skolemFOFtoCNF_X0_1,composition(top,top)),composition(skolemFOFtoCNF_X0_1,top)) )],[refute_1_1618,refute_1_1623]) ).
cnf(refute_1_1625,plain,
complement(composition(composition(skolemFOFtoCNF_X0_1,top),top)) = complement(composition(composition(skolemFOFtoCNF_X0_1,top),top)),
introduced(tautology,[refl,[$fot(complement(composition(composition(skolemFOFtoCNF_X0_1,top),top)))]]) ).
cnf(refute_1_1626,plain,
( complement(composition(composition(skolemFOFtoCNF_X0_1,top),top)) != complement(composition(composition(skolemFOFtoCNF_X0_1,top),top))
| composition(composition(skolemFOFtoCNF_X0_1,top),top) != composition(skolemFOFtoCNF_X0_1,top)
| complement(composition(composition(skolemFOFtoCNF_X0_1,top),top)) = complement(composition(skolemFOFtoCNF_X0_1,top)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(composition(skolemFOFtoCNF_X0_1,top),top)),complement(composition(composition(skolemFOFtoCNF_X0_1,top),top))) ),[1,0],$fot(composition(skolemFOFtoCNF_X0_1,top))]]) ).
cnf(refute_1_1627,plain,
( composition(composition(skolemFOFtoCNF_X0_1,top),top) != composition(skolemFOFtoCNF_X0_1,top)
| complement(composition(composition(skolemFOFtoCNF_X0_1,top),top)) = complement(composition(skolemFOFtoCNF_X0_1,top)) ),
inference(resolve,[$cnf( $equal(complement(composition(composition(skolemFOFtoCNF_X0_1,top),top)),complement(composition(composition(skolemFOFtoCNF_X0_1,top),top))) )],[refute_1_1625,refute_1_1626]) ).
cnf(refute_1_1628,plain,
complement(composition(composition(skolemFOFtoCNF_X0_1,top),top)) = complement(composition(skolemFOFtoCNF_X0_1,top)),
inference(resolve,[$cnf( $equal(composition(composition(skolemFOFtoCNF_X0_1,top),top),composition(skolemFOFtoCNF_X0_1,top)) )],[refute_1_1624,refute_1_1627]) ).
cnf(refute_1_1629,plain,
composition(complement(composition(composition(skolemFOFtoCNF_X0_1,top),top)),top) = composition(complement(composition(composition(skolemFOFtoCNF_X0_1,top),top)),top),
introduced(tautology,[refl,[$fot(composition(complement(composition(composition(skolemFOFtoCNF_X0_1,top),top)),top))]]) ).
cnf(refute_1_1630,plain,
( complement(composition(composition(skolemFOFtoCNF_X0_1,top),top)) != complement(composition(skolemFOFtoCNF_X0_1,top))
| composition(complement(composition(composition(skolemFOFtoCNF_X0_1,top),top)),top) != composition(complement(composition(composition(skolemFOFtoCNF_X0_1,top),top)),top)
| composition(complement(composition(composition(skolemFOFtoCNF_X0_1,top),top)),top) = composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(composition(composition(skolemFOFtoCNF_X0_1,top),top)),top),composition(complement(composition(composition(skolemFOFtoCNF_X0_1,top),top)),top)) ),[1,0],$fot(complement(composition(skolemFOFtoCNF_X0_1,top)))]]) ).
cnf(refute_1_1631,plain,
( complement(composition(composition(skolemFOFtoCNF_X0_1,top),top)) != complement(composition(skolemFOFtoCNF_X0_1,top))
| composition(complement(composition(composition(skolemFOFtoCNF_X0_1,top),top)),top) = composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(composition(skolemFOFtoCNF_X0_1,top),top)),top),composition(complement(composition(composition(skolemFOFtoCNF_X0_1,top),top)),top)) )],[refute_1_1629,refute_1_1630]) ).
cnf(refute_1_1632,plain,
composition(complement(composition(composition(skolemFOFtoCNF_X0_1,top),top)),top) = composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),
inference(resolve,[$cnf( $equal(complement(composition(composition(skolemFOFtoCNF_X0_1,top),top)),complement(composition(skolemFOFtoCNF_X0_1,top))) )],[refute_1_1628,refute_1_1631]) ).
cnf(refute_1_1633,plain,
join(composition(complement(composition(composition(skolemFOFtoCNF_X0_1,top),top)),top),meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top))))) = join(composition(complement(composition(composition(skolemFOFtoCNF_X0_1,top),top)),top),meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top))))),
introduced(tautology,[refl,[$fot(join(composition(complement(composition(composition(skolemFOFtoCNF_X0_1,top),top)),top),meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top))))))]]) ).
cnf(refute_1_1634,plain,
( composition(complement(composition(composition(skolemFOFtoCNF_X0_1,top),top)),top) != composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top)
| join(composition(complement(composition(composition(skolemFOFtoCNF_X0_1,top),top)),top),meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top))))) != join(composition(complement(composition(composition(skolemFOFtoCNF_X0_1,top),top)),top),meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top)))))
| join(composition(complement(composition(composition(skolemFOFtoCNF_X0_1,top),top)),top),meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top))))) = join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(complement(composition(composition(skolemFOFtoCNF_X0_1,top),top)),top),meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top))))),join(composition(complement(composition(composition(skolemFOFtoCNF_X0_1,top),top)),top),meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top)))))) ),[1,0],$fot(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top))]]) ).
cnf(refute_1_1635,plain,
( composition(complement(composition(composition(skolemFOFtoCNF_X0_1,top),top)),top) != composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top)
| join(composition(complement(composition(composition(skolemFOFtoCNF_X0_1,top),top)),top),meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top))))) = join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top))))) ),
inference(resolve,[$cnf( $equal(join(composition(complement(composition(composition(skolemFOFtoCNF_X0_1,top),top)),top),meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top))))),join(composition(complement(composition(composition(skolemFOFtoCNF_X0_1,top),top)),top),meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top)))))) )],[refute_1_1633,refute_1_1634]) ).
cnf(refute_1_1636,plain,
join(composition(complement(composition(composition(skolemFOFtoCNF_X0_1,top),top)),top),meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top))))) = join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top))))),
inference(resolve,[$cnf( $equal(composition(complement(composition(composition(skolemFOFtoCNF_X0_1,top),top)),top),composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top)) )],[refute_1_1632,refute_1_1635]) ).
cnf(refute_1_1637,plain,
join(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top)))),composition(complement(composition(composition(skolemFOFtoCNF_X0_1,top),top)),top)) = join(composition(complement(composition(composition(skolemFOFtoCNF_X0_1,top),top)),top),meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top))))),
inference(subst,[],[refute_1_7:[bind(X0,$fot(composition(complement(composition(composition(skolemFOFtoCNF_X0_1,top),top)),top))),bind(X1,$fot(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top))))))]]) ).
cnf(refute_1_1638,plain,
( join(composition(complement(composition(composition(skolemFOFtoCNF_X0_1,top),top)),top),meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top))))) != join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top)))))
| join(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top)))),composition(complement(composition(composition(skolemFOFtoCNF_X0_1,top),top)),top)) != join(composition(complement(composition(composition(skolemFOFtoCNF_X0_1,top),top)),top),meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top)))))
| join(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top)))),composition(complement(composition(composition(skolemFOFtoCNF_X0_1,top),top)),top)) = join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top))))) ),
inference(subst,[],[refute_1_10:[bind(X,$fot(join(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top)))),composition(complement(composition(composition(skolemFOFtoCNF_X0_1,top),top)),top)))),bind(Y,$fot(join(composition(complement(composition(composition(skolemFOFtoCNF_X0_1,top),top)),top),meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top))))))),bind(Z,$fot(join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top)))))))]]) ).
cnf(refute_1_1639,plain,
( join(composition(complement(composition(composition(skolemFOFtoCNF_X0_1,top),top)),top),meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top))))) != join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top)))))
| join(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top)))),composition(complement(composition(composition(skolemFOFtoCNF_X0_1,top),top)),top)) = join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top))))) ),
inference(resolve,[$cnf( $equal(join(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top)))),composition(complement(composition(composition(skolemFOFtoCNF_X0_1,top),top)),top)),join(composition(complement(composition(composition(skolemFOFtoCNF_X0_1,top),top)),top),meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top)))))) )],[refute_1_1637,refute_1_1638]) ).
cnf(refute_1_1640,plain,
join(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top)))),composition(complement(composition(composition(skolemFOFtoCNF_X0_1,top),top)),top)) = join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top))))),
inference(resolve,[$cnf( $equal(join(composition(complement(composition(composition(skolemFOFtoCNF_X0_1,top),top)),top),meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top))))),join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top)))))) )],[refute_1_1636,refute_1_1639]) ).
cnf(refute_1_1641,plain,
( join(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top)))),composition(complement(composition(composition(skolemFOFtoCNF_X0_1,top),top)),top)) != join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top)))))
| join(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top)))),composition(complement(composition(composition(skolemFOFtoCNF_X0_1,top),top)),top)) != meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top))))
| join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top))))) = meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top)))),composition(complement(composition(composition(skolemFOFtoCNF_X0_1,top),top)),top)),meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top))))) ),[0],$fot(join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top))))))]]) ).
cnf(refute_1_1642,plain,
( join(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top)))),composition(complement(composition(composition(skolemFOFtoCNF_X0_1,top),top)),top)) != meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top))))
| join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top))))) = meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top)))) ),
inference(resolve,[$cnf( $equal(join(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top)))),composition(complement(composition(composition(skolemFOFtoCNF_X0_1,top),top)),top)),join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top)))))) )],[refute_1_1640,refute_1_1641]) ).
cnf(refute_1_1643,plain,
join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top))))) = meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top)))),
inference(resolve,[$cnf( $equal(join(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top)))),composition(complement(composition(composition(skolemFOFtoCNF_X0_1,top),top)),top)),meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top))))) )],[refute_1_1268,refute_1_1642]) ).
cnf(refute_1_1644,plain,
meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top)))) = complement(complement(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top)))))),
inference(subst,[],[refute_1_688:[bind(X_387,$fot(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top))))))]]) ).
cnf(refute_1_1645,plain,
( complement(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top))))) != composition(skolemFOFtoCNF_X0_1,top)
| meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top)))) != complement(complement(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top))))))
| meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top)))) = complement(composition(skolemFOFtoCNF_X0_1,top)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top)))),complement(complement(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top))))))) ),[1,0],$fot(composition(skolemFOFtoCNF_X0_1,top))]]) ).
cnf(refute_1_1646,plain,
( meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top)))) != complement(complement(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top))))))
| meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top)))) = complement(composition(skolemFOFtoCNF_X0_1,top)) ),
inference(resolve,[$cnf( $equal(complement(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top))))),composition(skolemFOFtoCNF_X0_1,top)) )],[refute_1_1265,refute_1_1645]) ).
cnf(refute_1_1647,plain,
meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top)))) = complement(composition(skolemFOFtoCNF_X0_1,top)),
inference(resolve,[$cnf( $equal(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top)))),complement(complement(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top))))))) )],[refute_1_1644,refute_1_1646]) ).
cnf(refute_1_1648,plain,
join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top))))) = join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top))))),
introduced(tautology,[refl,[$fot(join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top))))))]]) ).
cnf(refute_1_1649,plain,
( join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top))))) != join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top)))))
| meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top)))) != complement(composition(skolemFOFtoCNF_X0_1,top))
| join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top))))) = join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),complement(composition(skolemFOFtoCNF_X0_1,top))) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top))))),join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top)))))) ),[1,1],$fot(complement(composition(skolemFOFtoCNF_X0_1,top)))]]) ).
cnf(refute_1_1650,plain,
( meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top)))) != complement(composition(skolemFOFtoCNF_X0_1,top))
| join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top))))) = join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),complement(composition(skolemFOFtoCNF_X0_1,top))) ),
inference(resolve,[$cnf( $equal(join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top))))),join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top)))))) )],[refute_1_1648,refute_1_1649]) ).
cnf(refute_1_1651,plain,
join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top))))) = join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),complement(composition(skolemFOFtoCNF_X0_1,top))),
inference(resolve,[$cnf( $equal(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top)))),complement(composition(skolemFOFtoCNF_X0_1,top))) )],[refute_1_1647,refute_1_1650]) ).
cnf(refute_1_1652,plain,
( join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),complement(composition(skolemFOFtoCNF_X0_1,top))) != composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top)
| join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top))))) != join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),complement(composition(skolemFOFtoCNF_X0_1,top)))
| join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top))))) = composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top) ),
inference(subst,[],[refute_1_10:[bind(X,$fot(join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top))))))),bind(Y,$fot(join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),complement(composition(skolemFOFtoCNF_X0_1,top))))),bind(Z,$fot(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top)))]]) ).
cnf(refute_1_1653,plain,
( 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),meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top))))) = composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top) ),
inference(resolve,[$cnf( $equal(join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top))))),join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),complement(composition(skolemFOFtoCNF_X0_1,top)))) )],[refute_1_1651,refute_1_1652]) ).
cnf(refute_1_1654,plain,
join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top))))) = composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),
inference(resolve,[$cnf( $equal(join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),complement(composition(skolemFOFtoCNF_X0_1,top))),composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top)) )],[refute_1_13,refute_1_1653]) ).
cnf(refute_1_1655,plain,
( join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top))))) != composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top)
| join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top))))) != meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top))))
| composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top) = meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top))))),meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top))))) ),[0],$fot(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top))]]) ).
cnf(refute_1_1656,plain,
( join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top))))) != meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top))))
| composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top) = meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top)))) ),
inference(resolve,[$cnf( $equal(join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top))))),composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top)) )],[refute_1_1654,refute_1_1655]) ).
cnf(refute_1_1657,plain,
( composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top) != meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top))))
| meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top)))) != complement(composition(skolemFOFtoCNF_X0_1,top))
| composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top) = complement(composition(skolemFOFtoCNF_X0_1,top)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),complement(composition(skolemFOFtoCNF_X0_1,top))) ),[0],$fot(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top)))))]]) ).
cnf(refute_1_1658,plain,
( composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top) != meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top))))
| composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top) = complement(composition(skolemFOFtoCNF_X0_1,top)) ),
inference(resolve,[$cnf( $equal(meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top)))),complement(composition(skolemFOFtoCNF_X0_1,top))) )],[refute_1_1647,refute_1_1657]) ).
cnf(refute_1_1659,plain,
( join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top))))) != meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top))))
| composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top) = complement(composition(skolemFOFtoCNF_X0_1,top)) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top))))) )],[refute_1_1656,refute_1_1658]) ).
cnf(refute_1_1660,plain,
composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top) = complement(composition(skolemFOFtoCNF_X0_1,top)),
inference(resolve,[$cnf( $equal(join(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top))))),meet(composition(complement(skolemFOFtoCNF_X0_1),top),complement(meet(composition(skolemFOFtoCNF_X0_1,top),composition(complement(skolemFOFtoCNF_X0_1),top))))) )],[refute_1_1643,refute_1_1659]) ).
cnf(refute_1_1661,plain,
( complement(composition(skolemFOFtoCNF_X0_1,top)) != complement(composition(skolemFOFtoCNF_X0_1,top))
| composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top) != complement(composition(skolemFOFtoCNF_X0_1,top))
| composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top) = complement(composition(skolemFOFtoCNF_X0_1,top)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),complement(composition(skolemFOFtoCNF_X0_1,top))) ),[0,0],$fot(complement(composition(skolemFOFtoCNF_X0_1,top)))]]) ).
cnf(refute_1_1662,plain,
( complement(composition(skolemFOFtoCNF_X0_1,top)) != complement(composition(skolemFOFtoCNF_X0_1,top))
| composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top) = complement(composition(skolemFOFtoCNF_X0_1,top)) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),complement(composition(skolemFOFtoCNF_X0_1,top))) )],[refute_1_1660,refute_1_1661]) ).
cnf(refute_1_1663,plain,
complement(composition(skolemFOFtoCNF_X0_1,top)) != complement(composition(skolemFOFtoCNF_X0_1,top)),
inference(resolve,[$cnf( $equal(composition(complement(composition(skolemFOFtoCNF_X0_1,top)),top),complement(composition(skolemFOFtoCNF_X0_1,top))) )],[refute_1_1662,refute_1_16]) ).
cnf(refute_1_1664,plain,
complement(composition(skolemFOFtoCNF_X0_1,top)) = complement(composition(skolemFOFtoCNF_X0_1,top)),
introduced(tautology,[refl,[$fot(complement(composition(skolemFOFtoCNF_X0_1,top)))]]) ).
cnf(refute_1_1665,plain,
$false,
inference(resolve,[$cnf( $equal(complement(composition(skolemFOFtoCNF_X0_1,top)),complement(composition(skolemFOFtoCNF_X0_1,top))) )],[refute_1_1664,refute_1_1663]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : REL050+2 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n029.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 08:27:59 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 6.68/6.88 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.68/6.88
% 6.68/6.88 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 7.18/7.36
%------------------------------------------------------------------------------