TSTP Solution File: REL004+1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : REL004+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Mon Jul 18 19:42:59 EDT 2022
% Result : Theorem 3.15s 3.36s
% Output : CNFRefutation 3.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 163
% Number of leaves : 431
% Syntax : Number of formulae : 1727 ( 864 unt; 0 def)
% Number of atoms : 2976 (2975 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 2503 (1254 ~;1249 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 1647 ( 24 sgn 78 !; 1 ?)
% 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] : converse(complement(X0)) = complement(converse(X0)) ).
fof(subgoal_0,plain,
! [X0] : converse(complement(X0)) = complement(converse(X0)),
inference(strip,[],[goals]) ).
fof(negate_0_0,plain,
~ ! [X0] : converse(complement(X0)) = complement(converse(X0)),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [X0] : converse(complement(X0)) != complement(converse(X0)),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
converse(complement(skolemFOFtoCNF_X0)) != complement(converse(skolemFOFtoCNF_X0)),
inference(skolemize,[],[normalize_0_0]) ).
fof(normalize_0_2,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_3,plain,
! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),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] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
inference(canonicalize,[],[maddux4_definiton_of_meet]) ).
fof(normalize_0_7,plain,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
inference(specialize,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(canonicalize,[],[converse_additivity]) ).
fof(normalize_0_9,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(specialize,[],[normalize_0_8]) ).
fof(normalize_0_10,plain,
! [X0] : converse(converse(X0)) = X0,
inference(canonicalize,[],[converse_idempotence]) ).
fof(normalize_0_11,plain,
! [X0] : converse(converse(X0)) = X0,
inference(specialize,[],[normalize_0_10]) ).
fof(normalize_0_12,plain,
! [X0] : top = join(X0,complement(X0)),
inference(canonicalize,[],[def_top]) ).
fof(normalize_0_13,plain,
! [X0] : top = join(X0,complement(X0)),
inference(specialize,[],[normalize_0_12]) ).
fof(normalize_0_14,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(canonicalize,[],[def_zero]) ).
fof(normalize_0_15,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(specialize,[],[normalize_0_14]) ).
fof(normalize_0_16,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(canonicalize,[],[maddux2_join_associativity]) ).
fof(normalize_0_17,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(specialize,[],[normalize_0_16]) ).
fof(normalize_0_18,plain,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
inference(canonicalize,[],[converse_cancellativity]) ).
fof(normalize_0_19,plain,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
inference(specialize,[],[normalize_0_18]) ).
fof(normalize_0_20,plain,
! [X0,X1,X2] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
inference(canonicalize,[],[composition_associativity]) ).
fof(normalize_0_21,plain,
! [X0,X1,X2] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
inference(specialize,[],[normalize_0_20]) ).
fof(normalize_0_22,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(canonicalize,[],[converse_multiplicativity]) ).
fof(normalize_0_23,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(specialize,[],[normalize_0_22]) ).
fof(normalize_0_24,plain,
! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(canonicalize,[],[composition_distributivity]) ).
fof(normalize_0_25,plain,
! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(specialize,[],[normalize_0_24]) ).
fof(normalize_0_26,plain,
! [X0] : composition(X0,one) = X0,
inference(canonicalize,[],[composition_identity]) ).
fof(normalize_0_27,plain,
! [X0] : composition(X0,one) = X0,
inference(specialize,[],[normalize_0_26]) ).
cnf(refute_0_0,plain,
converse(complement(skolemFOFtoCNF_X0)) != complement(converse(skolemFOFtoCNF_X0)),
inference(canonicalize,[],[normalize_0_1]) ).
cnf(refute_0_1,plain,
X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),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( $equal(join(X0,X1),join(X1,X0)) )],[refute_0_2,refute_0_6]) ).
cnf(refute_0_8,plain,
join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),
inference(subst,[],[refute_0_7:[bind(X0,$fot(complement(join(complement(X0),X1)))),bind(X1,$fot(complement(join(complement(X0),complement(X1)))))]]) ).
cnf(refute_0_9,plain,
( X0 != join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1)))
| join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) != join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1))))
| X0 = join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) ),
introduced(tautology,[equality,[$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_10,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( $equal(join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1))))) )],[refute_0_8,refute_0_9]) ).
cnf(refute_0_11,plain,
X0 = join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),
inference(resolve,[$cnf( $equal(X0,join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1)))) )],[refute_0_1,refute_0_10]) ).
cnf(refute_0_12,plain,
join(complement(join(complement(X0),X1)),meet(X0,X1)) = join(meet(X0,X1),complement(join(complement(X0),X1))),
inference(subst,[],[refute_0_7:[bind(X0,$fot(meet(X0,X1))),bind(X1,$fot(complement(join(complement(X0),X1))))]]) ).
cnf(refute_0_13,plain,
meet(X0,X1) = complement(join(complement(X0),complement(X1))),
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_14,plain,
( meet(X0,X1) != complement(join(complement(X0),complement(X1)))
| complement(join(complement(X0),complement(X1))) = meet(X0,X1) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(meet(X0,X1))),bind(Y,$fot(complement(join(complement(X0),complement(X1)))))]]) ).
cnf(refute_0_15,plain,
complement(join(complement(X0),complement(X1))) = meet(X0,X1),
inference(resolve,[$cnf( $equal(meet(X0,X1),complement(join(complement(X0),complement(X1)))) )],[refute_0_13,refute_0_14]) ).
cnf(refute_0_16,plain,
join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),
introduced(tautology,[refl,[$fot(join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))))]]) ).
cnf(refute_0_17,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_18,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( $equal(join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1))))) )],[refute_0_16,refute_0_17]) ).
cnf(refute_0_19,plain,
join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = join(complement(join(complement(X0),X1)),meet(X0,X1)),
inference(resolve,[$cnf( $equal(complement(join(complement(X0),complement(X1))),meet(X0,X1)) )],[refute_0_15,refute_0_18]) ).
cnf(refute_0_20,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_21,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_5,refute_0_20]) ).
cnf(refute_0_22,plain,
( join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) != join(complement(join(complement(X0),X1)),meet(X0,X1))
| join(complement(join(complement(X0),X1)),meet(X0,X1)) != join(meet(X0,X1),complement(join(complement(X0),X1)))
| join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = join(meet(X0,X1),complement(join(complement(X0),X1))) ),
inference(subst,[],[refute_0_21:[bind(X,$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_23,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( $equal(join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),join(complement(join(complement(X0),X1)),meet(X0,X1))) )],[refute_0_19,refute_0_22]) ).
cnf(refute_0_24,plain,
join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = join(meet(X0,X1),complement(join(complement(X0),X1))),
inference(resolve,[$cnf( $equal(join(complement(join(complement(X0),X1)),meet(X0,X1)),join(meet(X0,X1),complement(join(complement(X0),X1)))) )],[refute_0_12,refute_0_23]) ).
cnf(refute_0_25,plain,
( X0 != join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1))))
| join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) != join(meet(X0,X1),complement(join(complement(X0),X1)))
| X0 = join(meet(X0,X1),complement(join(complement(X0),X1))) ),
introduced(tautology,[equality,[$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_26,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( $equal(join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),join(meet(X0,X1),complement(join(complement(X0),X1)))) )],[refute_0_24,refute_0_25]) ).
cnf(refute_0_27,plain,
X0 = join(meet(X0,X1),complement(join(complement(X0),X1))),
inference(resolve,[$cnf( $equal(X0,join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1))))) )],[refute_0_11,refute_0_26]) ).
cnf(refute_0_28,plain,
X_29 = join(meet(X_29,X_30),complement(join(complement(X_29),X_30))),
inference(subst,[],[refute_0_27:[bind(X0,$fot(X_29)),bind(X1,$fot(X_30))]]) ).
cnf(refute_0_29,plain,
meet(X_19,X_20) = complement(join(complement(X_19),complement(X_20))),
inference(subst,[],[refute_0_13:[bind(X0,$fot(X_19)),bind(X1,$fot(X_20))]]) ).
cnf(refute_0_30,plain,
join(complement(X_20),complement(X_19)) = join(complement(X_19),complement(X_20)),
inference(subst,[],[refute_0_2:[bind(X0,$fot(complement(X_20))),bind(X1,$fot(complement(X_19)))]]) ).
cnf(refute_0_31,plain,
( join(complement(X_20),complement(X_19)) != join(complement(X_19),complement(X_20))
| join(complement(X_19),complement(X_20)) = join(complement(X_20),complement(X_19)) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(join(complement(X_20),complement(X_19)))),bind(Y,$fot(join(complement(X_19),complement(X_20))))]]) ).
cnf(refute_0_32,plain,
join(complement(X_19),complement(X_20)) = join(complement(X_20),complement(X_19)),
inference(resolve,[$cnf( $equal(join(complement(X_20),complement(X_19)),join(complement(X_19),complement(X_20))) )],[refute_0_30,refute_0_31]) ).
cnf(refute_0_33,plain,
( join(complement(X_19),complement(X_20)) != join(complement(X_20),complement(X_19))
| meet(X_19,X_20) != complement(join(complement(X_19),complement(X_20)))
| meet(X_19,X_20) = complement(join(complement(X_20),complement(X_19))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_19,X_20),complement(join(complement(X_19),complement(X_20)))) ),[1,0],$fot(join(complement(X_20),complement(X_19)))]]) ).
cnf(refute_0_34,plain,
( meet(X_19,X_20) != complement(join(complement(X_19),complement(X_20)))
| meet(X_19,X_20) = complement(join(complement(X_20),complement(X_19))) ),
inference(resolve,[$cnf( $equal(join(complement(X_19),complement(X_20)),join(complement(X_20),complement(X_19))) )],[refute_0_32,refute_0_33]) ).
cnf(refute_0_35,plain,
meet(X_19,X_20) = complement(join(complement(X_20),complement(X_19))),
inference(resolve,[$cnf( $equal(meet(X_19,X_20),complement(join(complement(X_19),complement(X_20)))) )],[refute_0_29,refute_0_34]) ).
cnf(refute_0_36,plain,
complement(join(complement(X_20),complement(X_19))) = meet(X_20,X_19),
inference(subst,[],[refute_0_15:[bind(X0,$fot(X_20)),bind(X1,$fot(X_19))]]) ).
cnf(refute_0_37,plain,
( complement(join(complement(X_20),complement(X_19))) != meet(X_20,X_19)
| meet(X_19,X_20) != complement(join(complement(X_20),complement(X_19)))
| meet(X_19,X_20) = meet(X_20,X_19) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_19,X_20),complement(join(complement(X_20),complement(X_19)))) ),[1],$fot(meet(X_20,X_19))]]) ).
cnf(refute_0_38,plain,
( meet(X_19,X_20) != complement(join(complement(X_20),complement(X_19)))
| meet(X_19,X_20) = meet(X_20,X_19) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_20),complement(X_19))),meet(X_20,X_19)) )],[refute_0_36,refute_0_37]) ).
cnf(refute_0_39,plain,
meet(X_19,X_20) = meet(X_20,X_19),
inference(resolve,[$cnf( $equal(meet(X_19,X_20),complement(join(complement(X_20),complement(X_19)))) )],[refute_0_35,refute_0_38]) ).
cnf(refute_0_40,plain,
meet(X_30,X_29) = meet(X_29,X_30),
inference(subst,[],[refute_0_39:[bind(X_19,$fot(X_30)),bind(X_20,$fot(X_29))]]) ).
cnf(refute_0_41,plain,
( meet(X_30,X_29) != meet(X_29,X_30)
| meet(X_29,X_30) = meet(X_30,X_29) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(meet(X_30,X_29))),bind(Y,$fot(meet(X_29,X_30)))]]) ).
cnf(refute_0_42,plain,
meet(X_29,X_30) = meet(X_30,X_29),
inference(resolve,[$cnf( $equal(meet(X_30,X_29),meet(X_29,X_30)) )],[refute_0_40,refute_0_41]) ).
cnf(refute_0_43,plain,
( X_29 != join(meet(X_29,X_30),complement(join(complement(X_29),X_30)))
| meet(X_29,X_30) != meet(X_30,X_29)
| X_29 = join(meet(X_30,X_29),complement(join(complement(X_29),X_30))) ),
introduced(tautology,[equality,[$cnf( $equal(X_29,join(meet(X_29,X_30),complement(join(complement(X_29),X_30)))) ),[1,0],$fot(meet(X_30,X_29))]]) ).
cnf(refute_0_44,plain,
( X_29 != join(meet(X_29,X_30),complement(join(complement(X_29),X_30)))
| X_29 = join(meet(X_30,X_29),complement(join(complement(X_29),X_30))) ),
inference(resolve,[$cnf( $equal(meet(X_29,X_30),meet(X_30,X_29)) )],[refute_0_42,refute_0_43]) ).
cnf(refute_0_45,plain,
X_29 = join(meet(X_30,X_29),complement(join(complement(X_29),X_30))),
inference(resolve,[$cnf( $equal(X_29,join(meet(X_29,X_30),complement(join(complement(X_29),X_30)))) )],[refute_0_28,refute_0_44]) ).
cnf(refute_0_46,plain,
X_64 = join(meet(complement(X1),X_64),complement(join(complement(X_64),complement(X1)))),
inference(subst,[],[refute_0_45:[bind(X_29,$fot(X_64)),bind(X_30,$fot(complement(X1)))]]) ).
cnf(refute_0_47,plain,
meet(X_64,X1) = complement(join(complement(X_64),complement(X1))),
inference(subst,[],[refute_0_13:[bind(X0,$fot(X_64))]]) ).
cnf(refute_0_48,plain,
( meet(X_64,X1) != complement(join(complement(X_64),complement(X1)))
| complement(join(complement(X_64),complement(X1))) = meet(X_64,X1) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(meet(X_64,X1))),bind(Y,$fot(complement(join(complement(X_64),complement(X1)))))]]) ).
cnf(refute_0_49,plain,
complement(join(complement(X_64),complement(X1))) = meet(X_64,X1),
inference(resolve,[$cnf( $equal(meet(X_64,X1),complement(join(complement(X_64),complement(X1)))) )],[refute_0_47,refute_0_48]) ).
cnf(refute_0_50,plain,
( X_64 != join(meet(complement(X1),X_64),complement(join(complement(X_64),complement(X1))))
| complement(join(complement(X_64),complement(X1))) != meet(X_64,X1)
| X_64 = join(meet(complement(X1),X_64),meet(X_64,X1)) ),
introduced(tautology,[equality,[$cnf( $equal(X_64,join(meet(complement(X1),X_64),complement(join(complement(X_64),complement(X1))))) ),[1,1],$fot(meet(X_64,X1))]]) ).
cnf(refute_0_51,plain,
( X_64 != join(meet(complement(X1),X_64),complement(join(complement(X_64),complement(X1))))
| X_64 = join(meet(complement(X1),X_64),meet(X_64,X1)) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_64),complement(X1))),meet(X_64,X1)) )],[refute_0_49,refute_0_50]) ).
cnf(refute_0_52,plain,
X_64 = join(meet(complement(X1),X_64),meet(X_64,X1)),
inference(resolve,[$cnf( $equal(X_64,join(meet(complement(X1),X_64),complement(join(complement(X_64),complement(X1))))) )],[refute_0_46,refute_0_51]) ).
cnf(refute_0_53,plain,
join(meet(complement(X1),X_64),meet(X_64,X1)) = join(meet(X_64,X1),meet(complement(X1),X_64)),
inference(subst,[],[refute_0_7:[bind(X0,$fot(meet(X_64,X1))),bind(X1,$fot(meet(complement(X1),X_64)))]]) ).
cnf(refute_0_54,plain,
( X_64 != join(meet(complement(X1),X_64),meet(X_64,X1))
| join(meet(complement(X1),X_64),meet(X_64,X1)) != join(meet(X_64,X1),meet(complement(X1),X_64))
| X_64 = join(meet(X_64,X1),meet(complement(X1),X_64)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_64,join(meet(X_64,X1),meet(complement(X1),X_64))) ),[0],$fot(join(meet(complement(X1),X_64),meet(X_64,X1)))]]) ).
cnf(refute_0_55,plain,
( X_64 != join(meet(complement(X1),X_64),meet(X_64,X1))
| X_64 = join(meet(X_64,X1),meet(complement(X1),X_64)) ),
inference(resolve,[$cnf( $equal(join(meet(complement(X1),X_64),meet(X_64,X1)),join(meet(X_64,X1),meet(complement(X1),X_64))) )],[refute_0_53,refute_0_54]) ).
cnf(refute_0_56,plain,
X_64 = join(meet(X_64,X1),meet(complement(X1),X_64)),
inference(resolve,[$cnf( $equal(X_64,join(meet(complement(X1),X_64),meet(X_64,X1))) )],[refute_0_52,refute_0_55]) ).
cnf(refute_0_57,plain,
converse(complement(converse(complement(complement(X_98))))) = join(meet(converse(complement(converse(complement(complement(X_98))))),X_98),meet(complement(X_98),converse(complement(converse(complement(complement(X_98))))))),
inference(subst,[],[refute_0_56:[bind(X1,$fot(X_98)),bind(X_64,$fot(converse(complement(converse(complement(complement(X_98)))))))]]) ).
cnf(refute_0_58,plain,
X_29 = join(meet(X_29,converse(complement(converse(complement(X_29))))),complement(join(complement(X_29),converse(complement(converse(complement(X_29))))))),
inference(subst,[],[refute_0_27:[bind(X0,$fot(X_29)),bind(X1,$fot(converse(complement(converse(complement(X_29))))))]]) ).
cnf(refute_0_59,plain,
converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_60,plain,
converse(join(converse(X0),X_5)) = join(converse(converse(X0)),converse(X_5)),
inference(subst,[],[refute_0_59:[bind(X0,$fot(converse(X0))),bind(X1,$fot(X_5))]]) ).
cnf(refute_0_61,plain,
converse(converse(X0)) = X0,
inference(canonicalize,[],[normalize_0_11]) ).
cnf(refute_0_62,plain,
( converse(converse(X0)) != X0
| converse(join(converse(X0),X_5)) != join(converse(converse(X0)),converse(X_5))
| converse(join(converse(X0),X_5)) = join(X0,converse(X_5)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X0),X_5)),join(converse(converse(X0)),converse(X_5))) ),[1,0],$fot(X0)]]) ).
cnf(refute_0_63,plain,
( converse(join(converse(X0),X_5)) != join(converse(converse(X0)),converse(X_5))
| converse(join(converse(X0),X_5)) = join(X0,converse(X_5)) ),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_0_61,refute_0_62]) ).
cnf(refute_0_64,plain,
converse(join(converse(X0),X_5)) = join(X0,converse(X_5)),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),X_5)),join(converse(converse(X0)),converse(X_5))) )],[refute_0_60,refute_0_63]) ).
cnf(refute_0_65,plain,
converse(join(converse(X_16),complement(converse(X_16)))) = join(X_16,converse(complement(converse(X_16)))),
inference(subst,[],[refute_0_64:[bind(X0,$fot(X_16)),bind(X_5,$fot(complement(converse(X_16))))]]) ).
cnf(refute_0_66,plain,
top = join(X0,complement(X0)),
inference(canonicalize,[],[normalize_0_13]) ).
cnf(refute_0_67,plain,
top = join(converse(X_16),complement(converse(X_16))),
inference(subst,[],[refute_0_66:[bind(X0,$fot(converse(X_16)))]]) ).
cnf(refute_0_68,plain,
( top != join(converse(X_16),complement(converse(X_16)))
| join(converse(X_16),complement(converse(X_16))) = top ),
inference(subst,[],[refute_0_5:[bind(X,$fot(top)),bind(Y,$fot(join(converse(X_16),complement(converse(X_16)))))]]) ).
cnf(refute_0_69,plain,
join(converse(X_16),complement(converse(X_16))) = top,
inference(resolve,[$cnf( $equal(top,join(converse(X_16),complement(converse(X_16)))) )],[refute_0_67,refute_0_68]) ).
cnf(refute_0_70,plain,
( converse(join(converse(X_16),complement(converse(X_16)))) != join(X_16,converse(complement(converse(X_16))))
| join(converse(X_16),complement(converse(X_16))) != top
| converse(top) = join(X_16,converse(complement(converse(X_16)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X_16),complement(converse(X_16)))),join(X_16,converse(complement(converse(X_16))))) ),[0,0],$fot(top)]]) ).
cnf(refute_0_71,plain,
( converse(join(converse(X_16),complement(converse(X_16)))) != join(X_16,converse(complement(converse(X_16))))
| converse(top) = join(X_16,converse(complement(converse(X_16)))) ),
inference(resolve,[$cnf( $equal(join(converse(X_16),complement(converse(X_16))),top) )],[refute_0_69,refute_0_70]) ).
cnf(refute_0_72,plain,
converse(top) = join(X_16,converse(complement(converse(X_16)))),
inference(resolve,[$cnf( $equal(converse(join(converse(X_16),complement(converse(X_16)))),join(X_16,converse(complement(converse(X_16))))) )],[refute_0_65,refute_0_71]) ).
cnf(refute_0_73,plain,
converse(top) = join(complement(X_29),converse(complement(converse(complement(X_29))))),
inference(subst,[],[refute_0_72:[bind(X_16,$fot(complement(X_29)))]]) ).
cnf(refute_0_74,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_75,plain,
join(complement(X_29),converse(complement(converse(complement(X_29))))) = converse(top),
inference(resolve,[$cnf( $equal(converse(top),join(complement(X_29),converse(complement(converse(complement(X_29)))))) )],[refute_0_73,refute_0_74]) ).
cnf(refute_0_76,plain,
( X_29 != join(meet(X_29,converse(complement(converse(complement(X_29))))),complement(join(complement(X_29),converse(complement(converse(complement(X_29)))))))
| join(complement(X_29),converse(complement(converse(complement(X_29))))) != converse(top)
| X_29 = join(meet(X_29,converse(complement(converse(complement(X_29))))),complement(converse(top))) ),
introduced(tautology,[equality,[$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_77,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( $equal(join(complement(X_29),converse(complement(converse(complement(X_29))))),converse(top)) )],[refute_0_75,refute_0_76]) ).
cnf(refute_0_78,plain,
X_29 = join(meet(X_29,converse(complement(converse(complement(X_29))))),complement(converse(top))),
inference(resolve,[$cnf( $equal(X_29,join(meet(X_29,converse(complement(converse(complement(X_29))))),complement(join(complement(X_29),converse(complement(converse(complement(X_29)))))))) )],[refute_0_58,refute_0_77]) ).
cnf(refute_0_79,plain,
join(meet(X_29,converse(complement(converse(complement(X_29))))),complement(converse(top))) = join(complement(converse(top)),meet(X_29,converse(complement(converse(complement(X_29)))))),
inference(subst,[],[refute_0_7:[bind(X0,$fot(complement(converse(top)))),bind(X1,$fot(meet(X_29,converse(complement(converse(complement(X_29)))))))]]) ).
cnf(refute_0_80,plain,
( X_29 != join(meet(X_29,converse(complement(converse(complement(X_29))))),complement(converse(top)))
| join(meet(X_29,converse(complement(converse(complement(X_29))))),complement(converse(top))) != join(complement(converse(top)),meet(X_29,converse(complement(converse(complement(X_29))))))
| X_29 = join(complement(converse(top)),meet(X_29,converse(complement(converse(complement(X_29)))))) ),
introduced(tautology,[equality,[$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_81,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( $equal(join(meet(X_29,converse(complement(converse(complement(X_29))))),complement(converse(top))),join(complement(converse(top)),meet(X_29,converse(complement(converse(complement(X_29))))))) )],[refute_0_79,refute_0_80]) ).
cnf(refute_0_82,plain,
X_29 = join(complement(converse(top)),meet(X_29,converse(complement(converse(complement(X_29)))))),
inference(resolve,[$cnf( $equal(X_29,join(meet(X_29,converse(complement(converse(complement(X_29))))),complement(converse(top)))) )],[refute_0_78,refute_0_81]) ).
cnf(refute_0_83,plain,
zero = meet(X0,complement(X0)),
inference(canonicalize,[],[normalize_0_15]) ).
cnf(refute_0_84,plain,
zero = meet(join(complement(X_19),complement(X_20)),complement(join(complement(X_19),complement(X_20)))),
inference(subst,[],[refute_0_83:[bind(X0,$fot(join(complement(X_19),complement(X_20))))]]) ).
cnf(refute_0_85,plain,
( meet(X_19,X_20) != complement(join(complement(X_19),complement(X_20)))
| complement(join(complement(X_19),complement(X_20))) = meet(X_19,X_20) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(meet(X_19,X_20))),bind(Y,$fot(complement(join(complement(X_19),complement(X_20)))))]]) ).
cnf(refute_0_86,plain,
complement(join(complement(X_19),complement(X_20))) = meet(X_19,X_20),
inference(resolve,[$cnf( $equal(meet(X_19,X_20),complement(join(complement(X_19),complement(X_20)))) )],[refute_0_29,refute_0_85]) ).
cnf(refute_0_87,plain,
( complement(join(complement(X_19),complement(X_20))) != meet(X_19,X_20)
| zero != meet(join(complement(X_19),complement(X_20)),complement(join(complement(X_19),complement(X_20))))
| zero = meet(join(complement(X_19),complement(X_20)),meet(X_19,X_20)) ),
introduced(tautology,[equality,[$cnf( $equal(zero,meet(join(complement(X_19),complement(X_20)),complement(join(complement(X_19),complement(X_20))))) ),[1,1],$fot(meet(X_19,X_20))]]) ).
cnf(refute_0_88,plain,
( zero != meet(join(complement(X_19),complement(X_20)),complement(join(complement(X_19),complement(X_20))))
| zero = meet(join(complement(X_19),complement(X_20)),meet(X_19,X_20)) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_19),complement(X_20))),meet(X_19,X_20)) )],[refute_0_86,refute_0_87]) ).
cnf(refute_0_89,plain,
zero = meet(join(complement(X_19),complement(X_20)),meet(X_19,X_20)),
inference(resolve,[$cnf( $equal(zero,meet(join(complement(X_19),complement(X_20)),complement(join(complement(X_19),complement(X_20))))) )],[refute_0_84,refute_0_88]) ).
cnf(refute_0_90,plain,
( top != join(X0,complement(X0))
| join(X0,complement(X0)) = top ),
inference(subst,[],[refute_0_5:[bind(X,$fot(top)),bind(Y,$fot(join(X0,complement(X0))))]]) ).
cnf(refute_0_91,plain,
join(X0,complement(X0)) = top,
inference(resolve,[$cnf( $equal(top,join(X0,complement(X0))) )],[refute_0_66,refute_0_90]) ).
cnf(refute_0_92,plain,
join(meet(X_19,X_20),complement(meet(X_19,X_20))) = top,
inference(subst,[],[refute_0_91:[bind(X0,$fot(meet(X_19,X_20)))]]) ).
cnf(refute_0_93,plain,
complement(join(meet(X_19,X_20),complement(meet(X_19,X_20)))) = complement(join(meet(X_19,X_20),complement(meet(X_19,X_20)))),
introduced(tautology,[refl,[$fot(complement(join(meet(X_19,X_20),complement(meet(X_19,X_20)))))]]) ).
cnf(refute_0_94,plain,
( complement(join(meet(X_19,X_20),complement(meet(X_19,X_20)))) != complement(join(meet(X_19,X_20),complement(meet(X_19,X_20))))
| join(meet(X_19,X_20),complement(meet(X_19,X_20))) != top
| complement(join(meet(X_19,X_20),complement(meet(X_19,X_20)))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(meet(X_19,X_20),complement(meet(X_19,X_20)))),complement(join(meet(X_19,X_20),complement(meet(X_19,X_20))))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_95,plain,
( join(meet(X_19,X_20),complement(meet(X_19,X_20))) != top
| complement(join(meet(X_19,X_20),complement(meet(X_19,X_20)))) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(join(meet(X_19,X_20),complement(meet(X_19,X_20)))),complement(join(meet(X_19,X_20),complement(meet(X_19,X_20))))) )],[refute_0_93,refute_0_94]) ).
cnf(refute_0_96,plain,
complement(join(meet(X_19,X_20),complement(meet(X_19,X_20)))) = complement(top),
inference(resolve,[$cnf( $equal(join(meet(X_19,X_20),complement(meet(X_19,X_20))),top) )],[refute_0_92,refute_0_95]) ).
cnf(refute_0_97,plain,
meet(join(complement(X_19),complement(X_20)),X1) = complement(join(complement(join(complement(X_19),complement(X_20))),complement(X1))),
inference(subst,[],[refute_0_13:[bind(X0,$fot(join(complement(X_19),complement(X_20))))]]) ).
cnf(refute_0_98,plain,
( complement(join(complement(X_19),complement(X_20))) != meet(X_19,X_20)
| meet(join(complement(X_19),complement(X_20)),X1) != complement(join(complement(join(complement(X_19),complement(X_20))),complement(X1)))
| meet(join(complement(X_19),complement(X_20)),X1) = complement(join(meet(X_19,X_20),complement(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(complement(X_19),complement(X_20)),X1),complement(join(complement(join(complement(X_19),complement(X_20))),complement(X1)))) ),[1,0,0],$fot(meet(X_19,X_20))]]) ).
cnf(refute_0_99,plain,
( meet(join(complement(X_19),complement(X_20)),X1) != complement(join(complement(join(complement(X_19),complement(X_20))),complement(X1)))
| meet(join(complement(X_19),complement(X_20)),X1) = complement(join(meet(X_19,X_20),complement(X1))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_19),complement(X_20))),meet(X_19,X_20)) )],[refute_0_86,refute_0_98]) ).
cnf(refute_0_100,plain,
meet(join(complement(X_19),complement(X_20)),X1) = complement(join(meet(X_19,X_20),complement(X1))),
inference(resolve,[$cnf( $equal(meet(join(complement(X_19),complement(X_20)),X1),complement(join(complement(join(complement(X_19),complement(X_20))),complement(X1)))) )],[refute_0_97,refute_0_99]) ).
cnf(refute_0_101,plain,
meet(join(complement(X_19),complement(X_20)),meet(X_19,X_20)) = complement(join(meet(X_19,X_20),complement(meet(X_19,X_20)))),
inference(subst,[],[refute_0_100:[bind(X1,$fot(meet(X_19,X_20)))]]) ).
cnf(refute_0_102,plain,
( complement(join(meet(X_19,X_20),complement(meet(X_19,X_20)))) != complement(top)
| meet(join(complement(X_19),complement(X_20)),meet(X_19,X_20)) != complement(join(meet(X_19,X_20),complement(meet(X_19,X_20))))
| meet(join(complement(X_19),complement(X_20)),meet(X_19,X_20)) = complement(top) ),
inference(subst,[],[refute_0_21:[bind(X,$fot(meet(join(complement(X_19),complement(X_20)),meet(X_19,X_20)))),bind(Y,$fot(complement(join(meet(X_19,X_20),complement(meet(X_19,X_20)))))),bind(Z,$fot(complement(top)))]]) ).
cnf(refute_0_103,plain,
( complement(join(meet(X_19,X_20),complement(meet(X_19,X_20)))) != complement(top)
| meet(join(complement(X_19),complement(X_20)),meet(X_19,X_20)) = complement(top) ),
inference(resolve,[$cnf( $equal(meet(join(complement(X_19),complement(X_20)),meet(X_19,X_20)),complement(join(meet(X_19,X_20),complement(meet(X_19,X_20))))) )],[refute_0_101,refute_0_102]) ).
cnf(refute_0_104,plain,
meet(join(complement(X_19),complement(X_20)),meet(X_19,X_20)) = complement(top),
inference(resolve,[$cnf( $equal(complement(join(meet(X_19,X_20),complement(meet(X_19,X_20)))),complement(top)) )],[refute_0_96,refute_0_103]) ).
cnf(refute_0_105,plain,
( meet(join(complement(X_19),complement(X_20)),meet(X_19,X_20)) != complement(top)
| zero != meet(join(complement(X_19),complement(X_20)),meet(X_19,X_20))
| zero = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(zero,meet(join(complement(X_19),complement(X_20)),meet(X_19,X_20))) ),[1],$fot(complement(top))]]) ).
cnf(refute_0_106,plain,
( zero != meet(join(complement(X_19),complement(X_20)),meet(X_19,X_20))
| zero = complement(top) ),
inference(resolve,[$cnf( $equal(meet(join(complement(X_19),complement(X_20)),meet(X_19,X_20)),complement(top)) )],[refute_0_104,refute_0_105]) ).
cnf(refute_0_107,plain,
zero = complement(top),
inference(resolve,[$cnf( $equal(zero,meet(join(complement(X_19),complement(X_20)),meet(X_19,X_20))) )],[refute_0_89,refute_0_106]) ).
cnf(refute_0_108,plain,
( zero != complement(top)
| complement(top) = zero ),
inference(subst,[],[refute_0_5:[bind(X,$fot(zero)),bind(Y,$fot(complement(top)))]]) ).
cnf(refute_0_109,plain,
complement(top) = zero,
inference(resolve,[$cnf( $equal(zero,complement(top)) )],[refute_0_107,refute_0_108]) ).
cnf(refute_0_110,plain,
join(converse(X0),converse(X1)) = join(converse(X1),converse(X0)),
inference(subst,[],[refute_0_2:[bind(X0,$fot(converse(X0))),bind(X1,$fot(converse(X1)))]]) ).
cnf(refute_0_111,plain,
( converse(join(X0,X1)) != join(converse(X0),converse(X1))
| join(converse(X0),converse(X1)) != join(converse(X1),converse(X0))
| converse(join(X0,X1)) = join(converse(X1),converse(X0)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(join(X0,X1)),join(converse(X1),converse(X0))) ),[0],$fot(join(converse(X0),converse(X1)))]]) ).
cnf(refute_0_112,plain,
( converse(join(X0,X1)) != join(converse(X0),converse(X1))
| converse(join(X0,X1)) = join(converse(X1),converse(X0)) ),
inference(resolve,[$cnf( $equal(join(converse(X0),converse(X1)),join(converse(X1),converse(X0))) )],[refute_0_110,refute_0_111]) ).
cnf(refute_0_113,plain,
converse(join(X0,X1)) = join(converse(X1),converse(X0)),
inference(resolve,[$cnf( $equal(converse(join(X0,X1)),join(converse(X0),converse(X1))) )],[refute_0_59,refute_0_112]) ).
cnf(refute_0_114,plain,
( converse(join(X0,X1)) != join(converse(X0),converse(X1))
| join(converse(X0),converse(X1)) = converse(join(X0,X1)) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(converse(join(X0,X1)))),bind(Y,$fot(join(converse(X0),converse(X1))))]]) ).
cnf(refute_0_115,plain,
join(converse(X0),converse(X1)) = converse(join(X0,X1)),
inference(resolve,[$cnf( $equal(converse(join(X0,X1)),join(converse(X0),converse(X1))) )],[refute_0_59,refute_0_114]) ).
cnf(refute_0_116,plain,
join(converse(X1),converse(X0)) = converse(join(X1,X0)),
inference(subst,[],[refute_0_115:[bind(X0,$fot(X1)),bind(X1,$fot(X0))]]) ).
cnf(refute_0_117,plain,
( converse(join(X0,X1)) != join(converse(X1),converse(X0))
| join(converse(X1),converse(X0)) != converse(join(X1,X0))
| converse(join(X0,X1)) = converse(join(X1,X0)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(join(X0,X1)),converse(join(X1,X0))) ),[0],$fot(join(converse(X1),converse(X0)))]]) ).
cnf(refute_0_118,plain,
( converse(join(X0,X1)) != join(converse(X1),converse(X0))
| converse(join(X0,X1)) = converse(join(X1,X0)) ),
inference(resolve,[$cnf( $equal(join(converse(X1),converse(X0)),converse(join(X1,X0))) )],[refute_0_116,refute_0_117]) ).
cnf(refute_0_119,plain,
converse(join(X0,X1)) = converse(join(X1,X0)),
inference(resolve,[$cnf( $equal(converse(join(X0,X1)),join(converse(X1),converse(X0))) )],[refute_0_113,refute_0_118]) ).
cnf(refute_0_120,plain,
converse(join(converse(top),top)) = converse(join(top,converse(top))),
inference(subst,[],[refute_0_119:[bind(X0,$fot(converse(top))),bind(X1,$fot(top))]]) ).
cnf(refute_0_121,plain,
join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(canonicalize,[],[normalize_0_17]) ).
cnf(refute_0_122,plain,
join(top,join(top,X_42)) = join(join(top,top),X_42),
inference(subst,[],[refute_0_121:[bind(X0,$fot(top)),bind(X1,$fot(top)),bind(X2,$fot(X_42))]]) ).
cnf(refute_0_123,plain,
top = join(join(top,top),complement(join(top,top))),
inference(subst,[],[refute_0_66:[bind(X0,$fot(join(top,top)))]]) ).
cnf(refute_0_124,plain,
meet(zero,X1) = complement(join(complement(zero),complement(X1))),
inference(subst,[],[refute_0_13:[bind(X0,$fot(zero))]]) ).
cnf(refute_0_125,plain,
X_29 = join(meet(X_29,join(zero,meet(X_29,top))),complement(join(complement(X_29),join(zero,meet(X_29,top))))),
inference(subst,[],[refute_0_27:[bind(X0,$fot(X_29)),bind(X1,$fot(join(zero,meet(X_29,top))))]]) ).
cnf(refute_0_126,plain,
top = join(join(complement(X_19),complement(X_20)),complement(join(complement(X_19),complement(X_20)))),
inference(subst,[],[refute_0_66:[bind(X0,$fot(join(complement(X_19),complement(X_20))))]]) ).
cnf(refute_0_127,plain,
( complement(join(complement(X_19),complement(X_20))) != meet(X_19,X_20)
| top != join(join(complement(X_19),complement(X_20)),complement(join(complement(X_19),complement(X_20))))
| top = join(join(complement(X_19),complement(X_20)),meet(X_19,X_20)) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(join(complement(X_19),complement(X_20)),complement(join(complement(X_19),complement(X_20))))) ),[1,1],$fot(meet(X_19,X_20))]]) ).
cnf(refute_0_128,plain,
( top != join(join(complement(X_19),complement(X_20)),complement(join(complement(X_19),complement(X_20))))
| top = join(join(complement(X_19),complement(X_20)),meet(X_19,X_20)) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_19),complement(X_20))),meet(X_19,X_20)) )],[refute_0_86,refute_0_127]) ).
cnf(refute_0_129,plain,
top = join(join(complement(X_19),complement(X_20)),meet(X_19,X_20)),
inference(resolve,[$cnf( $equal(top,join(join(complement(X_19),complement(X_20)),complement(join(complement(X_19),complement(X_20))))) )],[refute_0_126,refute_0_128]) ).
cnf(refute_0_130,plain,
( join(X0,join(X1,X2)) != join(join(X0,X1),X2)
| join(join(X0,X1),X2) = join(X0,join(X1,X2)) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(join(X0,join(X1,X2)))),bind(Y,$fot(join(join(X0,X1),X2)))]]) ).
cnf(refute_0_131,plain,
join(join(X0,X1),X2) = join(X0,join(X1,X2)),
inference(resolve,[$cnf( $equal(join(X0,join(X1,X2)),join(join(X0,X1),X2)) )],[refute_0_121,refute_0_130]) ).
cnf(refute_0_132,plain,
join(join(complement(X_19),complement(X_20)),meet(X_19,X_20)) = join(complement(X_19),join(complement(X_20),meet(X_19,X_20))),
inference(subst,[],[refute_0_131:[bind(X0,$fot(complement(X_19))),bind(X1,$fot(complement(X_20))),bind(X2,$fot(meet(X_19,X_20)))]]) ).
cnf(refute_0_133,plain,
( join(join(complement(X_19),complement(X_20)),meet(X_19,X_20)) != join(complement(X_19),join(complement(X_20),meet(X_19,X_20)))
| top != join(join(complement(X_19),complement(X_20)),meet(X_19,X_20))
| top = join(complement(X_19),join(complement(X_20),meet(X_19,X_20))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(join(complement(X_19),complement(X_20)),meet(X_19,X_20))) ),[1],$fot(join(complement(X_19),join(complement(X_20),meet(X_19,X_20))))]]) ).
cnf(refute_0_134,plain,
( top != join(join(complement(X_19),complement(X_20)),meet(X_19,X_20))
| top = join(complement(X_19),join(complement(X_20),meet(X_19,X_20))) ),
inference(resolve,[$cnf( $equal(join(join(complement(X_19),complement(X_20)),meet(X_19,X_20)),join(complement(X_19),join(complement(X_20),meet(X_19,X_20)))) )],[refute_0_132,refute_0_133]) ).
cnf(refute_0_135,plain,
top = join(complement(X_19),join(complement(X_20),meet(X_19,X_20))),
inference(resolve,[$cnf( $equal(top,join(join(complement(X_19),complement(X_20)),meet(X_19,X_20))) )],[refute_0_129,refute_0_134]) ).
cnf(refute_0_136,plain,
top = join(complement(X_24),join(complement(top),meet(X_24,top))),
inference(subst,[],[refute_0_135:[bind(X_19,$fot(X_24)),bind(X_20,$fot(top))]]) ).
cnf(refute_0_137,plain,
( complement(top) != zero
| top != join(complement(X_24),join(complement(top),meet(X_24,top)))
| top = join(complement(X_24),join(zero,meet(X_24,top))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(X_24),join(complement(top),meet(X_24,top)))) ),[1,1,0],$fot(zero)]]) ).
cnf(refute_0_138,plain,
( top != join(complement(X_24),join(complement(top),meet(X_24,top)))
| top = join(complement(X_24),join(zero,meet(X_24,top))) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_109,refute_0_137]) ).
cnf(refute_0_139,plain,
top = join(complement(X_24),join(zero,meet(X_24,top))),
inference(resolve,[$cnf( $equal(top,join(complement(X_24),join(complement(top),meet(X_24,top)))) )],[refute_0_136,refute_0_138]) ).
cnf(refute_0_140,plain,
top = join(complement(X_29),join(zero,meet(X_29,top))),
inference(subst,[],[refute_0_139:[bind(X_24,$fot(X_29))]]) ).
cnf(refute_0_141,plain,
( top != join(complement(X_29),join(zero,meet(X_29,top)))
| join(complement(X_29),join(zero,meet(X_29,top))) = top ),
inference(subst,[],[refute_0_5:[bind(X,$fot(top)),bind(Y,$fot(join(complement(X_29),join(zero,meet(X_29,top)))))]]) ).
cnf(refute_0_142,plain,
join(complement(X_29),join(zero,meet(X_29,top))) = top,
inference(resolve,[$cnf( $equal(top,join(complement(X_29),join(zero,meet(X_29,top)))) )],[refute_0_140,refute_0_141]) ).
cnf(refute_0_143,plain,
( X_29 != join(meet(X_29,join(zero,meet(X_29,top))),complement(join(complement(X_29),join(zero,meet(X_29,top)))))
| join(complement(X_29),join(zero,meet(X_29,top))) != top
| X_29 = join(meet(X_29,join(zero,meet(X_29,top))),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(X_29,join(meet(X_29,join(zero,meet(X_29,top))),complement(join(complement(X_29),join(zero,meet(X_29,top)))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_0_144,plain,
( X_29 != join(meet(X_29,join(zero,meet(X_29,top))),complement(join(complement(X_29),join(zero,meet(X_29,top)))))
| X_29 = join(meet(X_29,join(zero,meet(X_29,top))),complement(top)) ),
inference(resolve,[$cnf( $equal(join(complement(X_29),join(zero,meet(X_29,top))),top) )],[refute_0_142,refute_0_143]) ).
cnf(refute_0_145,plain,
X_29 = join(meet(X_29,join(zero,meet(X_29,top))),complement(top)),
inference(resolve,[$cnf( $equal(X_29,join(meet(X_29,join(zero,meet(X_29,top))),complement(join(complement(X_29),join(zero,meet(X_29,top)))))) )],[refute_0_125,refute_0_144]) ).
cnf(refute_0_146,plain,
join(complement(top),meet(X_29,join(zero,meet(X_29,top)))) = join(complement(top),meet(X_29,join(zero,meet(X_29,top)))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(X_29,join(zero,meet(X_29,top)))))]]) ).
cnf(refute_0_147,plain,
( complement(top) != zero
| join(complement(top),meet(X_29,join(zero,meet(X_29,top)))) != join(complement(top),meet(X_29,join(zero,meet(X_29,top))))
| join(complement(top),meet(X_29,join(zero,meet(X_29,top)))) = join(zero,meet(X_29,join(zero,meet(X_29,top)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(X_29,join(zero,meet(X_29,top)))),join(complement(top),meet(X_29,join(zero,meet(X_29,top))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_148,plain,
( complement(top) != zero
| join(complement(top),meet(X_29,join(zero,meet(X_29,top)))) = join(zero,meet(X_29,join(zero,meet(X_29,top)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_29,join(zero,meet(X_29,top)))),join(complement(top),meet(X_29,join(zero,meet(X_29,top))))) )],[refute_0_146,refute_0_147]) ).
cnf(refute_0_149,plain,
join(complement(top),meet(X_29,join(zero,meet(X_29,top)))) = join(zero,meet(X_29,join(zero,meet(X_29,top)))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_109,refute_0_148]) ).
cnf(refute_0_150,plain,
join(meet(X_29,join(zero,meet(X_29,top))),complement(top)) = join(complement(top),meet(X_29,join(zero,meet(X_29,top)))),
inference(subst,[],[refute_0_7:[bind(X0,$fot(complement(top))),bind(X1,$fot(meet(X_29,join(zero,meet(X_29,top)))))]]) ).
cnf(refute_0_151,plain,
( join(complement(top),meet(X_29,join(zero,meet(X_29,top)))) != join(zero,meet(X_29,join(zero,meet(X_29,top))))
| join(meet(X_29,join(zero,meet(X_29,top))),complement(top)) != join(complement(top),meet(X_29,join(zero,meet(X_29,top))))
| join(meet(X_29,join(zero,meet(X_29,top))),complement(top)) = join(zero,meet(X_29,join(zero,meet(X_29,top)))) ),
inference(subst,[],[refute_0_21:[bind(X,$fot(join(meet(X_29,join(zero,meet(X_29,top))),complement(top)))),bind(Y,$fot(join(complement(top),meet(X_29,join(zero,meet(X_29,top)))))),bind(Z,$fot(join(zero,meet(X_29,join(zero,meet(X_29,top))))))]]) ).
cnf(refute_0_152,plain,
( join(complement(top),meet(X_29,join(zero,meet(X_29,top)))) != join(zero,meet(X_29,join(zero,meet(X_29,top))))
| join(meet(X_29,join(zero,meet(X_29,top))),complement(top)) = join(zero,meet(X_29,join(zero,meet(X_29,top)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_29,join(zero,meet(X_29,top))),complement(top)),join(complement(top),meet(X_29,join(zero,meet(X_29,top))))) )],[refute_0_150,refute_0_151]) ).
cnf(refute_0_153,plain,
join(meet(X_29,join(zero,meet(X_29,top))),complement(top)) = join(zero,meet(X_29,join(zero,meet(X_29,top)))),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_29,join(zero,meet(X_29,top)))),join(zero,meet(X_29,join(zero,meet(X_29,top))))) )],[refute_0_149,refute_0_152]) ).
cnf(refute_0_154,plain,
( X_29 != join(meet(X_29,join(zero,meet(X_29,top))),complement(top))
| join(meet(X_29,join(zero,meet(X_29,top))),complement(top)) != join(zero,meet(X_29,join(zero,meet(X_29,top))))
| X_29 = join(zero,meet(X_29,join(zero,meet(X_29,top)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_29,join(zero,meet(X_29,join(zero,meet(X_29,top))))) ),[0],$fot(join(meet(X_29,join(zero,meet(X_29,top))),complement(top)))]]) ).
cnf(refute_0_155,plain,
( X_29 != join(meet(X_29,join(zero,meet(X_29,top))),complement(top))
| X_29 = join(zero,meet(X_29,join(zero,meet(X_29,top)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_29,join(zero,meet(X_29,top))),complement(top)),join(zero,meet(X_29,join(zero,meet(X_29,top))))) )],[refute_0_153,refute_0_154]) ).
cnf(refute_0_156,plain,
X_29 = join(zero,meet(X_29,join(zero,meet(X_29,top)))),
inference(resolve,[$cnf( $equal(X_29,join(meet(X_29,join(zero,meet(X_29,top))),complement(top))) )],[refute_0_145,refute_0_155]) ).
cnf(refute_0_157,plain,
X_34 = join(zero,meet(X_34,join(zero,meet(X_34,top)))),
inference(subst,[],[refute_0_156:[bind(X_29,$fot(X_34))]]) ).
cnf(refute_0_158,plain,
meet(top,X_34) = meet(X_34,top),
inference(subst,[],[refute_0_39:[bind(X_19,$fot(top)),bind(X_20,$fot(X_34))]]) ).
cnf(refute_0_159,plain,
( meet(top,X_34) != meet(X_34,top)
| meet(X_34,top) = meet(top,X_34) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(meet(top,X_34))),bind(Y,$fot(meet(X_34,top)))]]) ).
cnf(refute_0_160,plain,
meet(X_34,top) = meet(top,X_34),
inference(resolve,[$cnf( $equal(meet(top,X_34),meet(X_34,top)) )],[refute_0_158,refute_0_159]) ).
cnf(refute_0_161,plain,
( X_34 != join(zero,meet(X_34,join(zero,meet(X_34,top))))
| meet(X_34,top) != meet(top,X_34)
| X_34 = join(zero,meet(X_34,join(zero,meet(top,X_34)))) ),
introduced(tautology,[equality,[$cnf( $equal(X_34,join(zero,meet(X_34,join(zero,meet(X_34,top))))) ),[1,1,1,1],$fot(meet(top,X_34))]]) ).
cnf(refute_0_162,plain,
( X_34 != join(zero,meet(X_34,join(zero,meet(X_34,top))))
| X_34 = join(zero,meet(X_34,join(zero,meet(top,X_34)))) ),
inference(resolve,[$cnf( $equal(meet(X_34,top),meet(top,X_34)) )],[refute_0_160,refute_0_161]) ).
cnf(refute_0_163,plain,
X_34 = join(zero,meet(X_34,join(zero,meet(top,X_34)))),
inference(resolve,[$cnf( $equal(X_34,join(zero,meet(X_34,join(zero,meet(X_34,top))))) )],[refute_0_157,refute_0_162]) ).
cnf(refute_0_164,plain,
complement(complement(top)) = join(zero,meet(complement(complement(top)),join(zero,meet(top,complement(complement(top)))))),
inference(subst,[],[refute_0_163:[bind(X_34,$fot(complement(complement(top))))]]) ).
cnf(refute_0_165,plain,
X_29 = join(meet(X_29,complement(complement(X_29))),complement(join(complement(X_29),complement(complement(X_29))))),
inference(subst,[],[refute_0_27:[bind(X0,$fot(X_29)),bind(X1,$fot(complement(complement(X_29))))]]) ).
cnf(refute_0_166,plain,
top = join(complement(X_29),complement(complement(X_29))),
inference(subst,[],[refute_0_66:[bind(X0,$fot(complement(X_29)))]]) ).
cnf(refute_0_167,plain,
( top != join(complement(X_29),complement(complement(X_29)))
| join(complement(X_29),complement(complement(X_29))) = top ),
inference(subst,[],[refute_0_5:[bind(X,$fot(top)),bind(Y,$fot(join(complement(X_29),complement(complement(X_29)))))]]) ).
cnf(refute_0_168,plain,
join(complement(X_29),complement(complement(X_29))) = top,
inference(resolve,[$cnf( $equal(top,join(complement(X_29),complement(complement(X_29)))) )],[refute_0_166,refute_0_167]) ).
cnf(refute_0_169,plain,
( X_29 != join(meet(X_29,complement(complement(X_29))),complement(join(complement(X_29),complement(complement(X_29)))))
| join(complement(X_29),complement(complement(X_29))) != top
| X_29 = join(meet(X_29,complement(complement(X_29))),complement(top)) ),
introduced(tautology,[equality,[$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_170,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( $equal(join(complement(X_29),complement(complement(X_29))),top) )],[refute_0_168,refute_0_169]) ).
cnf(refute_0_171,plain,
X_29 = join(meet(X_29,complement(complement(X_29))),complement(top)),
inference(resolve,[$cnf( $equal(X_29,join(meet(X_29,complement(complement(X_29))),complement(join(complement(X_29),complement(complement(X_29)))))) )],[refute_0_165,refute_0_170]) ).
cnf(refute_0_172,plain,
join(complement(top),meet(X_29,complement(complement(X_29)))) = join(complement(top),meet(X_29,complement(complement(X_29)))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(X_29,complement(complement(X_29)))))]]) ).
cnf(refute_0_173,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_174,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( $equal(join(complement(top),meet(X_29,complement(complement(X_29)))),join(complement(top),meet(X_29,complement(complement(X_29))))) )],[refute_0_172,refute_0_173]) ).
cnf(refute_0_175,plain,
join(complement(top),meet(X_29,complement(complement(X_29)))) = join(zero,meet(X_29,complement(complement(X_29)))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_109,refute_0_174]) ).
cnf(refute_0_176,plain,
join(meet(X_29,complement(complement(X_29))),complement(top)) = join(complement(top),meet(X_29,complement(complement(X_29)))),
inference(subst,[],[refute_0_7:[bind(X0,$fot(complement(top))),bind(X1,$fot(meet(X_29,complement(complement(X_29)))))]]) ).
cnf(refute_0_177,plain,
( join(complement(top),meet(X_29,complement(complement(X_29)))) != join(zero,meet(X_29,complement(complement(X_29))))
| join(meet(X_29,complement(complement(X_29))),complement(top)) != join(complement(top),meet(X_29,complement(complement(X_29))))
| join(meet(X_29,complement(complement(X_29))),complement(top)) = join(zero,meet(X_29,complement(complement(X_29)))) ),
inference(subst,[],[refute_0_21:[bind(X,$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_178,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( $equal(join(meet(X_29,complement(complement(X_29))),complement(top)),join(complement(top),meet(X_29,complement(complement(X_29))))) )],[refute_0_176,refute_0_177]) ).
cnf(refute_0_179,plain,
join(meet(X_29,complement(complement(X_29))),complement(top)) = join(zero,meet(X_29,complement(complement(X_29)))),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_29,complement(complement(X_29)))),join(zero,meet(X_29,complement(complement(X_29))))) )],[refute_0_175,refute_0_178]) ).
cnf(refute_0_180,plain,
( X_29 != join(meet(X_29,complement(complement(X_29))),complement(top))
| join(meet(X_29,complement(complement(X_29))),complement(top)) != join(zero,meet(X_29,complement(complement(X_29))))
| X_29 = join(zero,meet(X_29,complement(complement(X_29)))) ),
introduced(tautology,[equality,[$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_181,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( $equal(join(meet(X_29,complement(complement(X_29))),complement(top)),join(zero,meet(X_29,complement(complement(X_29))))) )],[refute_0_179,refute_0_180]) ).
cnf(refute_0_182,plain,
X_29 = join(zero,meet(X_29,complement(complement(X_29)))),
inference(resolve,[$cnf( $equal(X_29,join(meet(X_29,complement(complement(X_29))),complement(top))) )],[refute_0_171,refute_0_181]) ).
cnf(refute_0_183,plain,
top = join(zero,meet(top,complement(complement(top)))),
inference(subst,[],[refute_0_182:[bind(X_29,$fot(top))]]) ).
cnf(refute_0_184,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_185,plain,
join(zero,meet(top,complement(complement(top)))) = top,
inference(resolve,[$cnf( $equal(top,join(zero,meet(top,complement(complement(top))))) )],[refute_0_183,refute_0_184]) ).
cnf(refute_0_186,plain,
( complement(complement(top)) != join(zero,meet(complement(complement(top)),join(zero,meet(top,complement(complement(top))))))
| join(zero,meet(top,complement(complement(top)))) != top
| complement(complement(top)) = join(zero,meet(complement(complement(top)),top)) ),
introduced(tautology,[equality,[$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_187,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( $equal(join(zero,meet(top,complement(complement(top)))),top) )],[refute_0_185,refute_0_186]) ).
cnf(refute_0_188,plain,
complement(complement(top)) = join(zero,meet(complement(complement(top)),top)),
inference(resolve,[$cnf( $equal(complement(complement(top)),join(zero,meet(complement(complement(top)),join(zero,meet(top,complement(complement(top))))))) )],[refute_0_164,refute_0_187]) ).
cnf(refute_0_189,plain,
complement(complement(top)) = complement(complement(top)),
introduced(tautology,[refl,[$fot(complement(complement(top)))]]) ).
cnf(refute_0_190,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_191,plain,
( complement(top) != zero
| complement(complement(top)) = complement(zero) ),
inference(resolve,[$cnf( $equal(complement(complement(top)),complement(complement(top))) )],[refute_0_189,refute_0_190]) ).
cnf(refute_0_192,plain,
complement(complement(top)) = complement(zero),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_109,refute_0_191]) ).
cnf(refute_0_193,plain,
( complement(complement(top)) != complement(zero)
| complement(complement(top)) != join(zero,meet(complement(complement(top)),top))
| complement(zero) = join(zero,meet(complement(complement(top)),top)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(top)),join(zero,meet(complement(complement(top)),top))) ),[0],$fot(complement(zero))]]) ).
cnf(refute_0_194,plain,
( complement(complement(top)) != join(zero,meet(complement(complement(top)),top))
| complement(zero) = join(zero,meet(complement(complement(top)),top)) ),
inference(resolve,[$cnf( $equal(complement(complement(top)),complement(zero)) )],[refute_0_192,refute_0_193]) ).
cnf(refute_0_195,plain,
( complement(top) != zero
| top != join(zero,meet(top,complement(complement(top))))
| top = join(zero,meet(top,complement(zero))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(zero,meet(top,complement(complement(top))))) ),[1,1,1,0],$fot(zero)]]) ).
cnf(refute_0_196,plain,
( top != join(zero,meet(top,complement(complement(top))))
| top = join(zero,meet(top,complement(zero))) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_109,refute_0_195]) ).
cnf(refute_0_197,plain,
top = join(zero,meet(top,complement(zero))),
inference(resolve,[$cnf( $equal(top,join(zero,meet(top,complement(complement(top))))) )],[refute_0_183,refute_0_196]) ).
cnf(refute_0_198,plain,
( top != join(zero,meet(top,complement(zero)))
| join(zero,meet(top,complement(zero))) = top ),
inference(subst,[],[refute_0_5:[bind(X,$fot(top)),bind(Y,$fot(join(zero,meet(top,complement(zero)))))]]) ).
cnf(refute_0_199,plain,
join(zero,meet(top,complement(zero))) = top,
inference(resolve,[$cnf( $equal(top,join(zero,meet(top,complement(zero)))) )],[refute_0_197,refute_0_198]) ).
cnf(refute_0_200,plain,
meet(top,complement(complement(top))) = meet(top,complement(complement(top))),
introduced(tautology,[refl,[$fot(meet(top,complement(complement(top))))]]) ).
cnf(refute_0_201,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_202,plain,
( complement(complement(top)) != complement(zero)
| meet(top,complement(complement(top))) = meet(top,complement(zero)) ),
inference(resolve,[$cnf( $equal(meet(top,complement(complement(top))),meet(top,complement(complement(top)))) )],[refute_0_200,refute_0_201]) ).
cnf(refute_0_203,plain,
meet(top,complement(complement(top))) = meet(top,complement(zero)),
inference(resolve,[$cnf( $equal(complement(complement(top)),complement(zero)) )],[refute_0_192,refute_0_202]) ).
cnf(refute_0_204,plain,
meet(X0,top) = complement(join(complement(X0),complement(top))),
inference(subst,[],[refute_0_13:[bind(X1,$fot(top))]]) ).
cnf(refute_0_205,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_206,plain,
( meet(X0,top) != complement(join(complement(X0),complement(top)))
| meet(X0,top) = complement(join(complement(X0),zero)) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_109,refute_0_205]) ).
cnf(refute_0_207,plain,
meet(X0,top) = complement(join(complement(X0),zero)),
inference(resolve,[$cnf( $equal(meet(X0,top),complement(join(complement(X0),complement(top)))) )],[refute_0_204,refute_0_206]) ).
cnf(refute_0_208,plain,
meet(top,X1) = complement(join(complement(top),complement(X1))),
inference(subst,[],[refute_0_13:[bind(X0,$fot(top))]]) ).
cnf(refute_0_209,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_210,plain,
( meet(top,X1) != complement(join(complement(top),complement(X1)))
| meet(top,X1) = complement(join(zero,complement(X1))) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_109,refute_0_209]) ).
cnf(refute_0_211,plain,
meet(top,X1) = complement(join(zero,complement(X1))),
inference(resolve,[$cnf( $equal(meet(top,X1),complement(join(complement(top),complement(X1)))) )],[refute_0_208,refute_0_210]) ).
cnf(refute_0_212,plain,
( meet(top,X1) != complement(join(zero,complement(X1)))
| complement(join(zero,complement(X1))) = meet(top,X1) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(meet(top,X1))),bind(Y,$fot(complement(join(zero,complement(X1)))))]]) ).
cnf(refute_0_213,plain,
complement(join(zero,complement(X1))) = meet(top,X1),
inference(resolve,[$cnf( $equal(meet(top,X1),complement(join(zero,complement(X1)))) )],[refute_0_211,refute_0_212]) ).
cnf(refute_0_214,plain,
complement(join(zero,complement(X0))) = meet(top,X0),
inference(subst,[],[refute_0_213:[bind(X1,$fot(X0))]]) ).
cnf(refute_0_215,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_216,plain,
complement(join(complement(X0),zero)) = complement(join(complement(X0),zero)),
introduced(tautology,[refl,[$fot(complement(join(complement(X0),zero)))]]) ).
cnf(refute_0_217,plain,
( complement(join(complement(X0),zero)) != complement(join(complement(X0),zero))
| join(complement(X0),zero) != join(zero,complement(X0))
| complement(join(complement(X0),zero)) = complement(join(zero,complement(X0))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(X0),zero)),complement(join(complement(X0),zero))) ),[1,0],$fot(join(zero,complement(X0)))]]) ).
cnf(refute_0_218,plain,
( join(complement(X0),zero) != join(zero,complement(X0))
| complement(join(complement(X0),zero)) = complement(join(zero,complement(X0))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X0),zero)),complement(join(complement(X0),zero))) )],[refute_0_216,refute_0_217]) ).
cnf(refute_0_219,plain,
complement(join(complement(X0),zero)) = complement(join(zero,complement(X0))),
inference(resolve,[$cnf( $equal(join(complement(X0),zero),join(zero,complement(X0))) )],[refute_0_215,refute_0_218]) ).
cnf(refute_0_220,plain,
( complement(join(complement(X0),zero)) != complement(join(zero,complement(X0)))
| complement(join(zero,complement(X0))) != meet(top,X0)
| complement(join(complement(X0),zero)) = meet(top,X0) ),
inference(subst,[],[refute_0_21:[bind(X,$fot(complement(join(complement(X0),zero)))),bind(Y,$fot(complement(join(zero,complement(X0))))),bind(Z,$fot(meet(top,X0)))]]) ).
cnf(refute_0_221,plain,
( complement(join(zero,complement(X0))) != meet(top,X0)
| complement(join(complement(X0),zero)) = meet(top,X0) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X0),zero)),complement(join(zero,complement(X0)))) )],[refute_0_219,refute_0_220]) ).
cnf(refute_0_222,plain,
complement(join(complement(X0),zero)) = meet(top,X0),
inference(resolve,[$cnf( $equal(complement(join(zero,complement(X0))),meet(top,X0)) )],[refute_0_214,refute_0_221]) ).
cnf(refute_0_223,plain,
( complement(join(complement(X0),zero)) != meet(top,X0)
| meet(X0,top) != complement(join(complement(X0),zero))
| meet(X0,top) = meet(top,X0) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X0,top),complement(join(complement(X0),zero))) ),[1],$fot(meet(top,X0))]]) ).
cnf(refute_0_224,plain,
( meet(X0,top) != complement(join(complement(X0),zero))
| meet(X0,top) = meet(top,X0) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X0),zero)),meet(top,X0)) )],[refute_0_222,refute_0_223]) ).
cnf(refute_0_225,plain,
meet(X0,top) = meet(top,X0),
inference(resolve,[$cnf( $equal(meet(X0,top),complement(join(complement(X0),zero))) )],[refute_0_207,refute_0_224]) ).
cnf(refute_0_226,plain,
meet(complement(complement(top)),top) = meet(top,complement(complement(top))),
inference(subst,[],[refute_0_225:[bind(X0,$fot(complement(complement(top))))]]) ).
cnf(refute_0_227,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_21:[bind(X,$fot(meet(complement(complement(top)),top))),bind(Y,$fot(meet(top,complement(complement(top))))),bind(Z,$fot(meet(top,complement(zero))))]]) ).
cnf(refute_0_228,plain,
( meet(top,complement(complement(top))) != meet(top,complement(zero))
| meet(complement(complement(top)),top) = meet(top,complement(zero)) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(top)),top),meet(top,complement(complement(top)))) )],[refute_0_226,refute_0_227]) ).
cnf(refute_0_229,plain,
meet(complement(complement(top)),top) = meet(top,complement(zero)),
inference(resolve,[$cnf( $equal(meet(top,complement(complement(top))),meet(top,complement(zero))) )],[refute_0_203,refute_0_228]) ).
cnf(refute_0_230,plain,
join(zero,meet(complement(complement(top)),top)) = join(zero,meet(complement(complement(top)),top)),
introduced(tautology,[refl,[$fot(join(zero,meet(complement(complement(top)),top)))]]) ).
cnf(refute_0_231,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_232,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( $equal(join(zero,meet(complement(complement(top)),top)),join(zero,meet(complement(complement(top)),top))) )],[refute_0_230,refute_0_231]) ).
cnf(refute_0_233,plain,
join(zero,meet(complement(complement(top)),top)) = join(zero,meet(top,complement(zero))),
inference(resolve,[$cnf( $equal(meet(complement(complement(top)),top),meet(top,complement(zero))) )],[refute_0_229,refute_0_232]) ).
cnf(refute_0_234,plain,
( join(zero,meet(complement(complement(top)),top)) != join(zero,meet(top,complement(zero)))
| join(zero,meet(top,complement(zero))) != top
| join(zero,meet(complement(complement(top)),top)) = top ),
inference(subst,[],[refute_0_21:[bind(X,$fot(join(zero,meet(complement(complement(top)),top)))),bind(Y,$fot(join(zero,meet(top,complement(zero))))),bind(Z,$fot(top))]]) ).
cnf(refute_0_235,plain,
( join(zero,meet(top,complement(zero))) != top
| join(zero,meet(complement(complement(top)),top)) = top ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(complement(top)),top)),join(zero,meet(top,complement(zero)))) )],[refute_0_233,refute_0_234]) ).
cnf(refute_0_236,plain,
join(zero,meet(complement(complement(top)),top)) = top,
inference(resolve,[$cnf( $equal(join(zero,meet(top,complement(zero))),top) )],[refute_0_199,refute_0_235]) ).
cnf(refute_0_237,plain,
( complement(zero) != join(zero,meet(complement(complement(top)),top))
| join(zero,meet(complement(complement(top)),top)) != top
| complement(zero) = top ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(zero),top) ),[0],$fot(join(zero,meet(complement(complement(top)),top)))]]) ).
cnf(refute_0_238,plain,
( complement(zero) != join(zero,meet(complement(complement(top)),top))
| complement(zero) = top ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(complement(top)),top)),top) )],[refute_0_236,refute_0_237]) ).
cnf(refute_0_239,plain,
( complement(complement(top)) != join(zero,meet(complement(complement(top)),top))
| complement(zero) = top ),
inference(resolve,[$cnf( $equal(complement(zero),join(zero,meet(complement(complement(top)),top))) )],[refute_0_194,refute_0_238]) ).
cnf(refute_0_240,plain,
complement(zero) = top,
inference(resolve,[$cnf( $equal(complement(complement(top)),join(zero,meet(complement(complement(top)),top))) )],[refute_0_188,refute_0_239]) ).
cnf(refute_0_241,plain,
( complement(zero) != top
| meet(zero,X1) != complement(join(complement(zero),complement(X1)))
| meet(zero,X1) = complement(join(top,complement(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(zero,X1),complement(join(complement(zero),complement(X1)))) ),[1,0,0],$fot(top)]]) ).
cnf(refute_0_242,plain,
( meet(zero,X1) != complement(join(complement(zero),complement(X1)))
| meet(zero,X1) = complement(join(top,complement(X1))) ),
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_240,refute_0_241]) ).
cnf(refute_0_243,plain,
meet(zero,X1) = complement(join(top,complement(X1))),
inference(resolve,[$cnf( $equal(meet(zero,X1),complement(join(complement(zero),complement(X1)))) )],[refute_0_124,refute_0_242]) ).
cnf(refute_0_244,plain,
meet(zero,zero) = complement(join(top,complement(zero))),
inference(subst,[],[refute_0_243:[bind(X1,$fot(zero))]]) ).
cnf(refute_0_245,plain,
( complement(zero) != top
| meet(zero,zero) != complement(join(top,complement(zero)))
| meet(zero,zero) = complement(join(top,top)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(zero,zero),complement(join(top,complement(zero)))) ),[1,0,1],$fot(top)]]) ).
cnf(refute_0_246,plain,
( meet(zero,zero) != complement(join(top,complement(zero)))
| meet(zero,zero) = complement(join(top,top)) ),
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_240,refute_0_245]) ).
cnf(refute_0_247,plain,
meet(zero,zero) = complement(join(top,top)),
inference(resolve,[$cnf( $equal(meet(zero,zero),complement(join(top,complement(zero)))) )],[refute_0_244,refute_0_246]) ).
cnf(refute_0_248,plain,
( meet(zero,zero) != complement(join(top,top))
| complement(join(top,top)) = meet(zero,zero) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(meet(zero,zero))),bind(Y,$fot(complement(join(top,top))))]]) ).
cnf(refute_0_249,plain,
complement(join(top,top)) = meet(zero,zero),
inference(resolve,[$cnf( $equal(meet(zero,zero),complement(join(top,top))) )],[refute_0_247,refute_0_248]) ).
cnf(refute_0_250,plain,
( complement(join(top,top)) != meet(zero,zero)
| top != join(join(top,top),complement(join(top,top)))
| top = join(join(top,top),meet(zero,zero)) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(join(top,top),complement(join(top,top)))) ),[1,1],$fot(meet(zero,zero))]]) ).
cnf(refute_0_251,plain,
( top != join(join(top,top),complement(join(top,top)))
| top = join(join(top,top),meet(zero,zero)) ),
inference(resolve,[$cnf( $equal(complement(join(top,top)),meet(zero,zero)) )],[refute_0_249,refute_0_250]) ).
cnf(refute_0_252,plain,
top = join(join(top,top),meet(zero,zero)),
inference(resolve,[$cnf( $equal(top,join(join(top,top),complement(join(top,top)))) )],[refute_0_123,refute_0_251]) ).
cnf(refute_0_253,plain,
join(join(top,top),meet(zero,zero)) = join(top,join(top,meet(zero,zero))),
inference(subst,[],[refute_0_131:[bind(X0,$fot(top)),bind(X1,$fot(top)),bind(X2,$fot(meet(zero,zero)))]]) ).
cnf(refute_0_254,plain,
( join(join(top,top),meet(zero,zero)) != join(top,join(top,meet(zero,zero)))
| top != join(join(top,top),meet(zero,zero))
| top = join(top,join(top,meet(zero,zero))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(join(top,top),meet(zero,zero))) ),[1],$fot(join(top,join(top,meet(zero,zero))))]]) ).
cnf(refute_0_255,plain,
( top != join(join(top,top),meet(zero,zero))
| top = join(top,join(top,meet(zero,zero))) ),
inference(resolve,[$cnf( $equal(join(join(top,top),meet(zero,zero)),join(top,join(top,meet(zero,zero)))) )],[refute_0_253,refute_0_254]) ).
cnf(refute_0_256,plain,
top = join(top,join(top,meet(zero,zero))),
inference(resolve,[$cnf( $equal(top,join(join(top,top),meet(zero,zero))) )],[refute_0_252,refute_0_255]) ).
cnf(refute_0_257,plain,
top = join(complement(join(top,top)),join(zero,meet(join(top,top),top))),
inference(subst,[],[refute_0_139:[bind(X_24,$fot(join(top,top)))]]) ).
cnf(refute_0_258,plain,
( complement(join(top,top)) != meet(zero,zero)
| top != join(complement(join(top,top)),join(zero,meet(join(top,top),top)))
| top = join(meet(zero,zero),join(zero,meet(join(top,top),top))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(join(top,top)),join(zero,meet(join(top,top),top)))) ),[1,0],$fot(meet(zero,zero))]]) ).
cnf(refute_0_259,plain,
( top != join(complement(join(top,top)),join(zero,meet(join(top,top),top)))
| top = join(meet(zero,zero),join(zero,meet(join(top,top),top))) ),
inference(resolve,[$cnf( $equal(complement(join(top,top)),meet(zero,zero)) )],[refute_0_249,refute_0_258]) ).
cnf(refute_0_260,plain,
top = join(meet(zero,zero),join(zero,meet(join(top,top),top))),
inference(resolve,[$cnf( $equal(top,join(complement(join(top,top)),join(zero,meet(join(top,top),top)))) )],[refute_0_257,refute_0_259]) ).
cnf(refute_0_261,plain,
meet(join(top,top),top) = meet(top,join(top,top)),
inference(subst,[],[refute_0_225:[bind(X0,$fot(join(top,top)))]]) ).
cnf(refute_0_262,plain,
join(zero,meet(join(top,top),top)) = join(zero,meet(join(top,top),top)),
introduced(tautology,[refl,[$fot(join(zero,meet(join(top,top),top)))]]) ).
cnf(refute_0_263,plain,
( join(zero,meet(join(top,top),top)) != join(zero,meet(join(top,top),top))
| meet(join(top,top),top) != meet(top,join(top,top))
| join(zero,meet(join(top,top),top)) = join(zero,meet(top,join(top,top))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(join(top,top),top)),join(zero,meet(join(top,top),top))) ),[1,1],$fot(meet(top,join(top,top)))]]) ).
cnf(refute_0_264,plain,
( meet(join(top,top),top) != meet(top,join(top,top))
| join(zero,meet(join(top,top),top)) = join(zero,meet(top,join(top,top))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(join(top,top),top)),join(zero,meet(join(top,top),top))) )],[refute_0_262,refute_0_263]) ).
cnf(refute_0_265,plain,
join(zero,meet(join(top,top),top)) = join(zero,meet(top,join(top,top))),
inference(resolve,[$cnf( $equal(meet(join(top,top),top),meet(top,join(top,top))) )],[refute_0_261,refute_0_264]) ).
cnf(refute_0_266,plain,
join(meet(zero,zero),join(zero,meet(join(top,top),top))) = join(meet(zero,zero),join(zero,meet(join(top,top),top))),
introduced(tautology,[refl,[$fot(join(meet(zero,zero),join(zero,meet(join(top,top),top))))]]) ).
cnf(refute_0_267,plain,
( join(meet(zero,zero),join(zero,meet(join(top,top),top))) != join(meet(zero,zero),join(zero,meet(join(top,top),top)))
| join(zero,meet(join(top,top),top)) != join(zero,meet(top,join(top,top)))
| join(meet(zero,zero),join(zero,meet(join(top,top),top))) = join(meet(zero,zero),join(zero,meet(top,join(top,top)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(zero,zero),join(zero,meet(join(top,top),top))),join(meet(zero,zero),join(zero,meet(join(top,top),top)))) ),[1,1],$fot(join(zero,meet(top,join(top,top))))]]) ).
cnf(refute_0_268,plain,
( join(zero,meet(join(top,top),top)) != join(zero,meet(top,join(top,top)))
| join(meet(zero,zero),join(zero,meet(join(top,top),top))) = join(meet(zero,zero),join(zero,meet(top,join(top,top)))) ),
inference(resolve,[$cnf( $equal(join(meet(zero,zero),join(zero,meet(join(top,top),top))),join(meet(zero,zero),join(zero,meet(join(top,top),top)))) )],[refute_0_266,refute_0_267]) ).
cnf(refute_0_269,plain,
join(meet(zero,zero),join(zero,meet(join(top,top),top))) = join(meet(zero,zero),join(zero,meet(top,join(top,top)))),
inference(resolve,[$cnf( $equal(join(zero,meet(join(top,top),top)),join(zero,meet(top,join(top,top)))) )],[refute_0_265,refute_0_268]) ).
cnf(refute_0_270,plain,
( join(meet(zero,zero),join(zero,meet(join(top,top),top))) != join(meet(zero,zero),join(zero,meet(top,join(top,top))))
| top != join(meet(zero,zero),join(zero,meet(join(top,top),top)))
| top = join(meet(zero,zero),join(zero,meet(top,join(top,top)))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(meet(zero,zero),join(zero,meet(join(top,top),top)))) ),[1],$fot(join(meet(zero,zero),join(zero,meet(top,join(top,top)))))]]) ).
cnf(refute_0_271,plain,
( top != join(meet(zero,zero),join(zero,meet(join(top,top),top)))
| top = join(meet(zero,zero),join(zero,meet(top,join(top,top)))) ),
inference(resolve,[$cnf( $equal(join(meet(zero,zero),join(zero,meet(join(top,top),top))),join(meet(zero,zero),join(zero,meet(top,join(top,top))))) )],[refute_0_269,refute_0_270]) ).
cnf(refute_0_272,plain,
top = join(meet(zero,zero),join(zero,meet(top,join(top,top)))),
inference(resolve,[$cnf( $equal(top,join(meet(zero,zero),join(zero,meet(join(top,top),top)))) )],[refute_0_260,refute_0_271]) ).
cnf(refute_0_273,plain,
join(meet(zero,zero),top) = join(top,meet(zero,zero)),
inference(subst,[],[refute_0_7:[bind(X0,$fot(top)),bind(X1,$fot(meet(zero,zero)))]]) ).
cnf(refute_0_274,plain,
top = join(top,complement(top)),
inference(subst,[],[refute_0_66:[bind(X0,$fot(top))]]) ).
cnf(refute_0_275,plain,
( complement(top) != zero
| top != join(top,complement(top))
| top = join(top,zero) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(top,complement(top))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_276,plain,
( top != join(top,complement(top))
| top = join(top,zero) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_109,refute_0_275]) ).
cnf(refute_0_277,plain,
top = join(top,zero),
inference(resolve,[$cnf( $equal(top,join(top,complement(top))) )],[refute_0_274,refute_0_276]) ).
cnf(refute_0_278,plain,
( top != join(top,zero)
| join(top,zero) = top ),
inference(subst,[],[refute_0_5:[bind(X,$fot(top)),bind(Y,$fot(join(top,zero)))]]) ).
cnf(refute_0_279,plain,
join(top,zero) = top,
inference(resolve,[$cnf( $equal(top,join(top,zero)) )],[refute_0_277,refute_0_278]) ).
cnf(refute_0_280,plain,
join(zero,top) = join(top,zero),
inference(subst,[],[refute_0_7:[bind(X0,$fot(top)),bind(X1,$fot(zero))]]) ).
cnf(refute_0_281,plain,
( join(top,zero) != top
| join(zero,top) != join(top,zero)
| join(zero,top) = top ),
inference(subst,[],[refute_0_21:[bind(X,$fot(join(zero,top))),bind(Y,$fot(join(top,zero))),bind(Z,$fot(top))]]) ).
cnf(refute_0_282,plain,
( join(top,zero) != top
| join(zero,top) = top ),
inference(resolve,[$cnf( $equal(join(zero,top),join(top,zero)) )],[refute_0_280,refute_0_281]) ).
cnf(refute_0_283,plain,
join(zero,top) = top,
inference(resolve,[$cnf( $equal(join(top,zero),top) )],[refute_0_279,refute_0_282]) ).
cnf(refute_0_284,plain,
meet(top,join(top,top)) = complement(join(zero,complement(join(top,top)))),
inference(subst,[],[refute_0_211:[bind(X1,$fot(join(top,top)))]]) ).
cnf(refute_0_285,plain,
( complement(join(top,top)) != meet(zero,zero)
| meet(top,join(top,top)) != complement(join(zero,complement(join(top,top))))
| meet(top,join(top,top)) = complement(join(zero,meet(zero,zero))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,join(top,top)),complement(join(zero,complement(join(top,top))))) ),[1,0,1],$fot(meet(zero,zero))]]) ).
cnf(refute_0_286,plain,
( meet(top,join(top,top)) != complement(join(zero,complement(join(top,top))))
| meet(top,join(top,top)) = complement(join(zero,meet(zero,zero))) ),
inference(resolve,[$cnf( $equal(complement(join(top,top)),meet(zero,zero)) )],[refute_0_249,refute_0_285]) ).
cnf(refute_0_287,plain,
meet(top,join(top,top)) = complement(join(zero,meet(zero,zero))),
inference(resolve,[$cnf( $equal(meet(top,join(top,top)),complement(join(zero,complement(join(top,top))))) )],[refute_0_284,refute_0_286]) ).
cnf(refute_0_288,plain,
X_29 = join(meet(X_29,complement(X_29)),complement(join(complement(X_29),complement(X_29)))),
inference(subst,[],[refute_0_27:[bind(X0,$fot(X_29)),bind(X1,$fot(complement(X_29)))]]) ).
cnf(refute_0_289,plain,
zero = meet(X_29,complement(X_29)),
inference(subst,[],[refute_0_83:[bind(X0,$fot(X_29))]]) ).
cnf(refute_0_290,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_291,plain,
meet(X_29,complement(X_29)) = zero,
inference(resolve,[$cnf( $equal(zero,meet(X_29,complement(X_29))) )],[refute_0_289,refute_0_290]) ).
cnf(refute_0_292,plain,
( X_29 != join(meet(X_29,complement(X_29)),complement(join(complement(X_29),complement(X_29))))
| meet(X_29,complement(X_29)) != zero
| X_29 = join(zero,complement(join(complement(X_29),complement(X_29)))) ),
introduced(tautology,[equality,[$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_293,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( $equal(meet(X_29,complement(X_29)),zero) )],[refute_0_291,refute_0_292]) ).
cnf(refute_0_294,plain,
X_29 = join(zero,complement(join(complement(X_29),complement(X_29)))),
inference(resolve,[$cnf( $equal(X_29,join(meet(X_29,complement(X_29)),complement(join(complement(X_29),complement(X_29))))) )],[refute_0_288,refute_0_293]) ).
cnf(refute_0_295,plain,
complement(join(complement(X_29),complement(X_29))) = meet(X_29,X_29),
inference(subst,[],[refute_0_15:[bind(X0,$fot(X_29)),bind(X1,$fot(X_29))]]) ).
cnf(refute_0_296,plain,
join(zero,complement(join(complement(X_29),complement(X_29)))) = join(zero,complement(join(complement(X_29),complement(X_29)))),
introduced(tautology,[refl,[$fot(join(zero,complement(join(complement(X_29),complement(X_29)))))]]) ).
cnf(refute_0_297,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_298,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( $equal(join(zero,complement(join(complement(X_29),complement(X_29)))),join(zero,complement(join(complement(X_29),complement(X_29))))) )],[refute_0_296,refute_0_297]) ).
cnf(refute_0_299,plain,
join(zero,complement(join(complement(X_29),complement(X_29)))) = join(zero,meet(X_29,X_29)),
inference(resolve,[$cnf( $equal(complement(join(complement(X_29),complement(X_29))),meet(X_29,X_29)) )],[refute_0_295,refute_0_298]) ).
cnf(refute_0_300,plain,
( X_29 != join(zero,complement(join(complement(X_29),complement(X_29))))
| join(zero,complement(join(complement(X_29),complement(X_29)))) != join(zero,meet(X_29,X_29))
| X_29 = join(zero,meet(X_29,X_29)) ),
introduced(tautology,[equality,[$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_301,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( $equal(join(zero,complement(join(complement(X_29),complement(X_29)))),join(zero,meet(X_29,X_29))) )],[refute_0_299,refute_0_300]) ).
cnf(refute_0_302,plain,
X_29 = join(zero,meet(X_29,X_29)),
inference(resolve,[$cnf( $equal(X_29,join(zero,complement(join(complement(X_29),complement(X_29))))) )],[refute_0_294,refute_0_301]) ).
cnf(refute_0_303,plain,
( X_29 != join(zero,meet(X_29,X_29))
| join(zero,meet(X_29,X_29)) = X_29 ),
inference(subst,[],[refute_0_5:[bind(X,$fot(X_29)),bind(Y,$fot(join(zero,meet(X_29,X_29))))]]) ).
cnf(refute_0_304,plain,
join(zero,meet(X_29,X_29)) = X_29,
inference(resolve,[$cnf( $equal(X_29,join(zero,meet(X_29,X_29))) )],[refute_0_302,refute_0_303]) ).
cnf(refute_0_305,plain,
join(zero,meet(zero,zero)) = zero,
inference(subst,[],[refute_0_304:[bind(X_29,$fot(zero))]]) ).
cnf(refute_0_306,plain,
complement(join(zero,meet(zero,zero))) = complement(join(zero,meet(zero,zero))),
introduced(tautology,[refl,[$fot(complement(join(zero,meet(zero,zero))))]]) ).
cnf(refute_0_307,plain,
( complement(join(zero,meet(zero,zero))) != complement(join(zero,meet(zero,zero)))
| join(zero,meet(zero,zero)) != zero
| complement(join(zero,meet(zero,zero))) = complement(zero) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(zero,meet(zero,zero))),complement(join(zero,meet(zero,zero)))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_308,plain,
( join(zero,meet(zero,zero)) != zero
| complement(join(zero,meet(zero,zero))) = complement(zero) ),
inference(resolve,[$cnf( $equal(complement(join(zero,meet(zero,zero))),complement(join(zero,meet(zero,zero)))) )],[refute_0_306,refute_0_307]) ).
cnf(refute_0_309,plain,
complement(join(zero,meet(zero,zero))) = complement(zero),
inference(resolve,[$cnf( $equal(join(zero,meet(zero,zero)),zero) )],[refute_0_305,refute_0_308]) ).
cnf(refute_0_310,plain,
( complement(join(zero,meet(zero,zero))) != complement(zero)
| complement(zero) != top
| complement(join(zero,meet(zero,zero))) = top ),
inference(subst,[],[refute_0_21:[bind(X,$fot(complement(join(zero,meet(zero,zero))))),bind(Y,$fot(complement(zero))),bind(Z,$fot(top))]]) ).
cnf(refute_0_311,plain,
( complement(zero) != top
| complement(join(zero,meet(zero,zero))) = top ),
inference(resolve,[$cnf( $equal(complement(join(zero,meet(zero,zero))),complement(zero)) )],[refute_0_309,refute_0_310]) ).
cnf(refute_0_312,plain,
complement(join(zero,meet(zero,zero))) = top,
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_240,refute_0_311]) ).
cnf(refute_0_313,plain,
( complement(join(zero,meet(zero,zero))) != top
| meet(top,join(top,top)) != complement(join(zero,meet(zero,zero)))
| meet(top,join(top,top)) = top ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,join(top,top)),complement(join(zero,meet(zero,zero)))) ),[1],$fot(top)]]) ).
cnf(refute_0_314,plain,
( meet(top,join(top,top)) != complement(join(zero,meet(zero,zero)))
| meet(top,join(top,top)) = top ),
inference(resolve,[$cnf( $equal(complement(join(zero,meet(zero,zero))),top) )],[refute_0_312,refute_0_313]) ).
cnf(refute_0_315,plain,
meet(top,join(top,top)) = top,
inference(resolve,[$cnf( $equal(meet(top,join(top,top)),complement(join(zero,meet(zero,zero)))) )],[refute_0_287,refute_0_314]) ).
cnf(refute_0_316,plain,
join(zero,meet(top,join(top,top))) = join(zero,meet(top,join(top,top))),
introduced(tautology,[refl,[$fot(join(zero,meet(top,join(top,top))))]]) ).
cnf(refute_0_317,plain,
( join(zero,meet(top,join(top,top))) != join(zero,meet(top,join(top,top)))
| meet(top,join(top,top)) != top
| join(zero,meet(top,join(top,top))) = join(zero,top) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(top,join(top,top))),join(zero,meet(top,join(top,top)))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_318,plain,
( meet(top,join(top,top)) != top
| join(zero,meet(top,join(top,top))) = join(zero,top) ),
inference(resolve,[$cnf( $equal(join(zero,meet(top,join(top,top))),join(zero,meet(top,join(top,top)))) )],[refute_0_316,refute_0_317]) ).
cnf(refute_0_319,plain,
join(zero,meet(top,join(top,top))) = join(zero,top),
inference(resolve,[$cnf( $equal(meet(top,join(top,top)),top) )],[refute_0_315,refute_0_318]) ).
cnf(refute_0_320,plain,
( join(zero,meet(top,join(top,top))) != join(zero,top)
| join(zero,top) != top
| join(zero,meet(top,join(top,top))) = top ),
inference(subst,[],[refute_0_21:[bind(X,$fot(join(zero,meet(top,join(top,top))))),bind(Y,$fot(join(zero,top))),bind(Z,$fot(top))]]) ).
cnf(refute_0_321,plain,
( join(zero,top) != top
| join(zero,meet(top,join(top,top))) = top ),
inference(resolve,[$cnf( $equal(join(zero,meet(top,join(top,top))),join(zero,top)) )],[refute_0_319,refute_0_320]) ).
cnf(refute_0_322,plain,
join(zero,meet(top,join(top,top))) = top,
inference(resolve,[$cnf( $equal(join(zero,top),top) )],[refute_0_283,refute_0_321]) ).
cnf(refute_0_323,plain,
join(meet(zero,zero),join(zero,meet(top,join(top,top)))) = join(meet(zero,zero),join(zero,meet(top,join(top,top)))),
introduced(tautology,[refl,[$fot(join(meet(zero,zero),join(zero,meet(top,join(top,top)))))]]) ).
cnf(refute_0_324,plain,
( join(meet(zero,zero),join(zero,meet(top,join(top,top)))) != join(meet(zero,zero),join(zero,meet(top,join(top,top))))
| join(zero,meet(top,join(top,top))) != top
| join(meet(zero,zero),join(zero,meet(top,join(top,top)))) = join(meet(zero,zero),top) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(zero,zero),join(zero,meet(top,join(top,top)))),join(meet(zero,zero),join(zero,meet(top,join(top,top))))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_325,plain,
( join(zero,meet(top,join(top,top))) != top
| join(meet(zero,zero),join(zero,meet(top,join(top,top)))) = join(meet(zero,zero),top) ),
inference(resolve,[$cnf( $equal(join(meet(zero,zero),join(zero,meet(top,join(top,top)))),join(meet(zero,zero),join(zero,meet(top,join(top,top))))) )],[refute_0_323,refute_0_324]) ).
cnf(refute_0_326,plain,
join(meet(zero,zero),join(zero,meet(top,join(top,top)))) = join(meet(zero,zero),top),
inference(resolve,[$cnf( $equal(join(zero,meet(top,join(top,top))),top) )],[refute_0_322,refute_0_325]) ).
cnf(refute_0_327,plain,
( join(meet(zero,zero),join(zero,meet(top,join(top,top)))) != join(meet(zero,zero),top)
| join(meet(zero,zero),top) != join(top,meet(zero,zero))
| join(meet(zero,zero),join(zero,meet(top,join(top,top)))) = join(top,meet(zero,zero)) ),
inference(subst,[],[refute_0_21:[bind(X,$fot(join(meet(zero,zero),join(zero,meet(top,join(top,top)))))),bind(Y,$fot(join(meet(zero,zero),top))),bind(Z,$fot(join(top,meet(zero,zero))))]]) ).
cnf(refute_0_328,plain,
( join(meet(zero,zero),top) != join(top,meet(zero,zero))
| join(meet(zero,zero),join(zero,meet(top,join(top,top)))) = join(top,meet(zero,zero)) ),
inference(resolve,[$cnf( $equal(join(meet(zero,zero),join(zero,meet(top,join(top,top)))),join(meet(zero,zero),top)) )],[refute_0_326,refute_0_327]) ).
cnf(refute_0_329,plain,
join(meet(zero,zero),join(zero,meet(top,join(top,top)))) = join(top,meet(zero,zero)),
inference(resolve,[$cnf( $equal(join(meet(zero,zero),top),join(top,meet(zero,zero))) )],[refute_0_273,refute_0_328]) ).
cnf(refute_0_330,plain,
( join(meet(zero,zero),join(zero,meet(top,join(top,top)))) != join(top,meet(zero,zero))
| top != join(meet(zero,zero),join(zero,meet(top,join(top,top))))
| top = join(top,meet(zero,zero)) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(meet(zero,zero),join(zero,meet(top,join(top,top))))) ),[1],$fot(join(top,meet(zero,zero)))]]) ).
cnf(refute_0_331,plain,
( top != join(meet(zero,zero),join(zero,meet(top,join(top,top))))
| top = join(top,meet(zero,zero)) ),
inference(resolve,[$cnf( $equal(join(meet(zero,zero),join(zero,meet(top,join(top,top)))),join(top,meet(zero,zero))) )],[refute_0_329,refute_0_330]) ).
cnf(refute_0_332,plain,
top = join(top,meet(zero,zero)),
inference(resolve,[$cnf( $equal(top,join(meet(zero,zero),join(zero,meet(top,join(top,top))))) )],[refute_0_272,refute_0_331]) ).
cnf(refute_0_333,plain,
( top != join(top,meet(zero,zero))
| join(top,meet(zero,zero)) = top ),
inference(subst,[],[refute_0_5:[bind(X,$fot(top)),bind(Y,$fot(join(top,meet(zero,zero))))]]) ).
cnf(refute_0_334,plain,
join(top,meet(zero,zero)) = top,
inference(resolve,[$cnf( $equal(top,join(top,meet(zero,zero))) )],[refute_0_332,refute_0_333]) ).
cnf(refute_0_335,plain,
join(top,join(top,meet(zero,zero))) = join(top,join(top,meet(zero,zero))),
introduced(tautology,[refl,[$fot(join(top,join(top,meet(zero,zero))))]]) ).
cnf(refute_0_336,plain,
( join(top,join(top,meet(zero,zero))) != join(top,join(top,meet(zero,zero)))
| join(top,meet(zero,zero)) != top
| join(top,join(top,meet(zero,zero))) = join(top,top) ),
introduced(tautology,[equality,[$cnf( $equal(join(top,join(top,meet(zero,zero))),join(top,join(top,meet(zero,zero)))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_337,plain,
( join(top,meet(zero,zero)) != top
| join(top,join(top,meet(zero,zero))) = join(top,top) ),
inference(resolve,[$cnf( $equal(join(top,join(top,meet(zero,zero))),join(top,join(top,meet(zero,zero)))) )],[refute_0_335,refute_0_336]) ).
cnf(refute_0_338,plain,
join(top,join(top,meet(zero,zero))) = join(top,top),
inference(resolve,[$cnf( $equal(join(top,meet(zero,zero)),top) )],[refute_0_334,refute_0_337]) ).
cnf(refute_0_339,plain,
( join(top,join(top,meet(zero,zero))) != join(top,top)
| top != join(top,join(top,meet(zero,zero)))
| top = join(top,top) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(top,join(top,meet(zero,zero)))) ),[1],$fot(join(top,top))]]) ).
cnf(refute_0_340,plain,
( top != join(top,join(top,meet(zero,zero)))
| top = join(top,top) ),
inference(resolve,[$cnf( $equal(join(top,join(top,meet(zero,zero))),join(top,top)) )],[refute_0_338,refute_0_339]) ).
cnf(refute_0_341,plain,
top = join(top,top),
inference(resolve,[$cnf( $equal(top,join(top,join(top,meet(zero,zero)))) )],[refute_0_256,refute_0_340]) ).
cnf(refute_0_342,plain,
( top != join(top,top)
| join(top,top) = top ),
inference(subst,[],[refute_0_5:[bind(X,$fot(top)),bind(Y,$fot(join(top,top)))]]) ).
cnf(refute_0_343,plain,
join(top,top) = top,
inference(resolve,[$cnf( $equal(top,join(top,top)) )],[refute_0_341,refute_0_342]) ).
cnf(refute_0_344,plain,
( join(top,join(top,X_42)) != join(join(top,top),X_42)
| join(top,top) != top
| join(top,join(top,X_42)) = join(top,X_42) ),
introduced(tautology,[equality,[$cnf( $equal(join(top,join(top,X_42)),join(join(top,top),X_42)) ),[1,0],$fot(top)]]) ).
cnf(refute_0_345,plain,
( join(top,join(top,X_42)) != join(join(top,top),X_42)
| join(top,join(top,X_42)) = join(top,X_42) ),
inference(resolve,[$cnf( $equal(join(top,top),top) )],[refute_0_343,refute_0_344]) ).
cnf(refute_0_346,plain,
join(top,join(top,X_42)) = join(top,X_42),
inference(resolve,[$cnf( $equal(join(top,join(top,X_42)),join(join(top,top),X_42)) )],[refute_0_122,refute_0_345]) ).
cnf(refute_0_347,plain,
join(top,join(top,converse(complement(converse(top))))) = join(top,converse(complement(converse(top)))),
inference(subst,[],[refute_0_346:[bind(X_42,$fot(converse(complement(converse(top)))))]]) ).
cnf(refute_0_348,plain,
converse(top) = join(top,converse(complement(converse(top)))),
inference(subst,[],[refute_0_72:[bind(X_16,$fot(top))]]) ).
cnf(refute_0_349,plain,
( converse(top) != join(top,converse(complement(converse(top))))
| join(top,converse(complement(converse(top)))) = converse(top) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(converse(top))),bind(Y,$fot(join(top,converse(complement(converse(top))))))]]) ).
cnf(refute_0_350,plain,
join(top,converse(complement(converse(top)))) = converse(top),
inference(resolve,[$cnf( $equal(converse(top),join(top,converse(complement(converse(top))))) )],[refute_0_348,refute_0_349]) ).
cnf(refute_0_351,plain,
( join(top,converse(complement(converse(top)))) != converse(top)
| join(top,join(top,converse(complement(converse(top))))) != join(top,converse(complement(converse(top))))
| join(top,converse(top)) = join(top,converse(complement(converse(top)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(top,join(top,converse(complement(converse(top))))),join(top,converse(complement(converse(top))))) ),[0,1],$fot(converse(top))]]) ).
cnf(refute_0_352,plain,
( join(top,join(top,converse(complement(converse(top))))) != join(top,converse(complement(converse(top))))
| join(top,converse(top)) = join(top,converse(complement(converse(top)))) ),
inference(resolve,[$cnf( $equal(join(top,converse(complement(converse(top)))),converse(top)) )],[refute_0_350,refute_0_351]) ).
cnf(refute_0_353,plain,
join(top,converse(top)) = join(top,converse(complement(converse(top)))),
inference(resolve,[$cnf( $equal(join(top,join(top,converse(complement(converse(top))))),join(top,converse(complement(converse(top))))) )],[refute_0_347,refute_0_352]) ).
cnf(refute_0_354,plain,
( join(top,converse(complement(converse(top)))) != converse(top)
| join(top,converse(top)) != join(top,converse(complement(converse(top))))
| join(top,converse(top)) = converse(top) ),
introduced(tautology,[equality,[$cnf( $equal(join(top,converse(top)),join(top,converse(complement(converse(top))))) ),[1],$fot(converse(top))]]) ).
cnf(refute_0_355,plain,
( join(top,converse(top)) != join(top,converse(complement(converse(top))))
| join(top,converse(top)) = converse(top) ),
inference(resolve,[$cnf( $equal(join(top,converse(complement(converse(top)))),converse(top)) )],[refute_0_350,refute_0_354]) ).
cnf(refute_0_356,plain,
join(top,converse(top)) = converse(top),
inference(resolve,[$cnf( $equal(join(top,converse(top)),join(top,converse(complement(converse(top))))) )],[refute_0_353,refute_0_355]) ).
cnf(refute_0_357,plain,
( converse(join(converse(top),top)) != converse(join(top,converse(top)))
| join(top,converse(top)) != converse(top)
| converse(join(converse(top),top)) = converse(converse(top)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(top),top)),converse(join(top,converse(top)))) ),[1,0],$fot(converse(top))]]) ).
cnf(refute_0_358,plain,
( converse(join(converse(top),top)) != converse(join(top,converse(top)))
| converse(join(converse(top),top)) = converse(converse(top)) ),
inference(resolve,[$cnf( $equal(join(top,converse(top)),converse(top)) )],[refute_0_356,refute_0_357]) ).
cnf(refute_0_359,plain,
converse(join(converse(top),top)) = converse(converse(top)),
inference(resolve,[$cnf( $equal(converse(join(converse(top),top)),converse(join(top,converse(top)))) )],[refute_0_120,refute_0_358]) ).
cnf(refute_0_360,plain,
join(X_40,join(complement(X_24),join(zero,complement(complement(X_24))))) = join(join(X_40,complement(X_24)),join(zero,complement(complement(X_24)))),
inference(subst,[],[refute_0_121:[bind(X0,$fot(X_40)),bind(X1,$fot(complement(X_24))),bind(X2,$fot(join(zero,complement(complement(X_24)))))]]) ).
cnf(refute_0_361,plain,
top = join(complement(X_24),join(complement(complement(X_24)),meet(X_24,complement(X_24)))),
inference(subst,[],[refute_0_135:[bind(X_19,$fot(X_24)),bind(X_20,$fot(complement(X_24)))]]) ).
cnf(refute_0_362,plain,
zero = meet(X_24,complement(X_24)),
inference(subst,[],[refute_0_83:[bind(X0,$fot(X_24))]]) ).
cnf(refute_0_363,plain,
( zero != meet(X_24,complement(X_24))
| meet(X_24,complement(X_24)) = zero ),
inference(subst,[],[refute_0_5:[bind(X,$fot(zero)),bind(Y,$fot(meet(X_24,complement(X_24))))]]) ).
cnf(refute_0_364,plain,
meet(X_24,complement(X_24)) = zero,
inference(resolve,[$cnf( $equal(zero,meet(X_24,complement(X_24))) )],[refute_0_362,refute_0_363]) ).
cnf(refute_0_365,plain,
( meet(X_24,complement(X_24)) != zero
| top != join(complement(X_24),join(complement(complement(X_24)),meet(X_24,complement(X_24))))
| top = join(complement(X_24),join(complement(complement(X_24)),zero)) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(X_24),join(complement(complement(X_24)),meet(X_24,complement(X_24))))) ),[1,1,1],$fot(zero)]]) ).
cnf(refute_0_366,plain,
( top != join(complement(X_24),join(complement(complement(X_24)),meet(X_24,complement(X_24))))
| top = join(complement(X_24),join(complement(complement(X_24)),zero)) ),
inference(resolve,[$cnf( $equal(meet(X_24,complement(X_24)),zero) )],[refute_0_364,refute_0_365]) ).
cnf(refute_0_367,plain,
top = join(complement(X_24),join(complement(complement(X_24)),zero)),
inference(resolve,[$cnf( $equal(top,join(complement(X_24),join(complement(complement(X_24)),meet(X_24,complement(X_24))))) )],[refute_0_361,refute_0_366]) ).
cnf(refute_0_368,plain,
join(complement(complement(X_24)),zero) = join(zero,complement(complement(X_24))),
inference(subst,[],[refute_0_7:[bind(X0,$fot(zero)),bind(X1,$fot(complement(complement(X_24))))]]) ).
cnf(refute_0_369,plain,
join(complement(X_24),join(complement(complement(X_24)),zero)) = join(complement(X_24),join(complement(complement(X_24)),zero)),
introduced(tautology,[refl,[$fot(join(complement(X_24),join(complement(complement(X_24)),zero)))]]) ).
cnf(refute_0_370,plain,
( join(complement(X_24),join(complement(complement(X_24)),zero)) != join(complement(X_24),join(complement(complement(X_24)),zero))
| join(complement(complement(X_24)),zero) != join(zero,complement(complement(X_24)))
| join(complement(X_24),join(complement(complement(X_24)),zero)) = join(complement(X_24),join(zero,complement(complement(X_24)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_24),join(complement(complement(X_24)),zero)),join(complement(X_24),join(complement(complement(X_24)),zero))) ),[1,1],$fot(join(zero,complement(complement(X_24))))]]) ).
cnf(refute_0_371,plain,
( join(complement(complement(X_24)),zero) != join(zero,complement(complement(X_24)))
| join(complement(X_24),join(complement(complement(X_24)),zero)) = join(complement(X_24),join(zero,complement(complement(X_24)))) ),
inference(resolve,[$cnf( $equal(join(complement(X_24),join(complement(complement(X_24)),zero)),join(complement(X_24),join(complement(complement(X_24)),zero))) )],[refute_0_369,refute_0_370]) ).
cnf(refute_0_372,plain,
join(complement(X_24),join(complement(complement(X_24)),zero)) = join(complement(X_24),join(zero,complement(complement(X_24)))),
inference(resolve,[$cnf( $equal(join(complement(complement(X_24)),zero),join(zero,complement(complement(X_24)))) )],[refute_0_368,refute_0_371]) ).
cnf(refute_0_373,plain,
( join(complement(X_24),join(complement(complement(X_24)),zero)) != join(complement(X_24),join(zero,complement(complement(X_24))))
| top != join(complement(X_24),join(complement(complement(X_24)),zero))
| top = join(complement(X_24),join(zero,complement(complement(X_24)))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(X_24),join(complement(complement(X_24)),zero))) ),[1],$fot(join(complement(X_24),join(zero,complement(complement(X_24)))))]]) ).
cnf(refute_0_374,plain,
( top != join(complement(X_24),join(complement(complement(X_24)),zero))
| top = join(complement(X_24),join(zero,complement(complement(X_24)))) ),
inference(resolve,[$cnf( $equal(join(complement(X_24),join(complement(complement(X_24)),zero)),join(complement(X_24),join(zero,complement(complement(X_24))))) )],[refute_0_372,refute_0_373]) ).
cnf(refute_0_375,plain,
top = join(complement(X_24),join(zero,complement(complement(X_24)))),
inference(resolve,[$cnf( $equal(top,join(complement(X_24),join(complement(complement(X_24)),zero))) )],[refute_0_367,refute_0_374]) ).
cnf(refute_0_376,plain,
( top != join(complement(X_24),join(zero,complement(complement(X_24))))
| join(complement(X_24),join(zero,complement(complement(X_24)))) = top ),
inference(subst,[],[refute_0_5:[bind(X,$fot(top)),bind(Y,$fot(join(complement(X_24),join(zero,complement(complement(X_24))))))]]) ).
cnf(refute_0_377,plain,
join(complement(X_24),join(zero,complement(complement(X_24)))) = top,
inference(resolve,[$cnf( $equal(top,join(complement(X_24),join(zero,complement(complement(X_24))))) )],[refute_0_375,refute_0_376]) ).
cnf(refute_0_378,plain,
( join(X_40,join(complement(X_24),join(zero,complement(complement(X_24))))) != join(join(X_40,complement(X_24)),join(zero,complement(complement(X_24))))
| join(complement(X_24),join(zero,complement(complement(X_24)))) != top
| join(X_40,top) = join(join(X_40,complement(X_24)),join(zero,complement(complement(X_24)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_40,join(complement(X_24),join(zero,complement(complement(X_24))))),join(join(X_40,complement(X_24)),join(zero,complement(complement(X_24))))) ),[0,1],$fot(top)]]) ).
cnf(refute_0_379,plain,
( join(X_40,join(complement(X_24),join(zero,complement(complement(X_24))))) != join(join(X_40,complement(X_24)),join(zero,complement(complement(X_24))))
| join(X_40,top) = join(join(X_40,complement(X_24)),join(zero,complement(complement(X_24)))) ),
inference(resolve,[$cnf( $equal(join(complement(X_24),join(zero,complement(complement(X_24)))),top) )],[refute_0_377,refute_0_378]) ).
cnf(refute_0_380,plain,
join(X_40,top) = join(join(X_40,complement(X_24)),join(zero,complement(complement(X_24)))),
inference(resolve,[$cnf( $equal(join(X_40,join(complement(X_24),join(zero,complement(complement(X_24))))),join(join(X_40,complement(X_24)),join(zero,complement(complement(X_24))))) )],[refute_0_360,refute_0_379]) ).
cnf(refute_0_381,plain,
join(X0,join(X_40,X_41)) = join(join(X_40,X_41),X0),
inference(subst,[],[refute_0_2:[bind(X1,$fot(join(X_40,X_41)))]]) ).
cnf(refute_0_382,plain,
join(X_40,join(X_41,X0)) = join(join(X_40,X_41),X0),
inference(subst,[],[refute_0_121:[bind(X0,$fot(X_40)),bind(X1,$fot(X_41)),bind(X2,$fot(X0))]]) ).
cnf(refute_0_383,plain,
( join(X_40,join(X_41,X0)) != join(join(X_40,X_41),X0)
| join(join(X_40,X_41),X0) = join(X_40,join(X_41,X0)) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(join(X_40,join(X_41,X0)))),bind(Y,$fot(join(join(X_40,X_41),X0)))]]) ).
cnf(refute_0_384,plain,
join(join(X_40,X_41),X0) = join(X_40,join(X_41,X0)),
inference(resolve,[$cnf( $equal(join(X_40,join(X_41,X0)),join(join(X_40,X_41),X0)) )],[refute_0_382,refute_0_383]) ).
cnf(refute_0_385,plain,
( join(X0,join(X_40,X_41)) != join(join(X_40,X_41),X0)
| join(join(X_40,X_41),X0) != join(X_40,join(X_41,X0))
| join(X0,join(X_40,X_41)) = join(X_40,join(X_41,X0)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X0,join(X_40,X_41)),join(X_40,join(X_41,X0))) ),[0],$fot(join(join(X_40,X_41),X0))]]) ).
cnf(refute_0_386,plain,
( join(X0,join(X_40,X_41)) != join(join(X_40,X_41),X0)
| join(X0,join(X_40,X_41)) = join(X_40,join(X_41,X0)) ),
inference(resolve,[$cnf( $equal(join(join(X_40,X_41),X0),join(X_40,join(X_41,X0))) )],[refute_0_384,refute_0_385]) ).
cnf(refute_0_387,plain,
join(X0,join(X_40,X_41)) = join(X_40,join(X_41,X0)),
inference(resolve,[$cnf( $equal(join(X0,join(X_40,X_41)),join(join(X_40,X_41),X0)) )],[refute_0_381,refute_0_386]) ).
cnf(refute_0_388,plain,
( join(X0,join(X_40,X_41)) != join(X_40,join(X_41,X0))
| join(X_40,join(X_41,X0)) = join(X0,join(X_40,X_41)) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(join(X0,join(X_40,X_41)))),bind(Y,$fot(join(X_40,join(X_41,X0))))]]) ).
cnf(refute_0_389,plain,
join(X_40,join(X_41,X0)) = join(X0,join(X_40,X_41)),
inference(resolve,[$cnf( $equal(join(X0,join(X_40,X_41)),join(X_40,join(X_41,X0))) )],[refute_0_387,refute_0_388]) ).
cnf(refute_0_390,plain,
join(complement(complement(X_24)),join(X_40,complement(X_24))) = join(complement(X_24),join(complement(complement(X_24)),X_40)),
inference(subst,[],[refute_0_389:[bind(X0,$fot(complement(X_24))),bind(X_40,$fot(complement(complement(X_24)))),bind(X_41,$fot(X_40))]]) ).
cnf(refute_0_391,plain,
join(zero,join(complement(complement(X_24)),join(X_40,complement(X_24)))) = join(zero,join(complement(complement(X_24)),join(X_40,complement(X_24)))),
introduced(tautology,[refl,[$fot(join(zero,join(complement(complement(X_24)),join(X_40,complement(X_24)))))]]) ).
cnf(refute_0_392,plain,
( join(complement(complement(X_24)),join(X_40,complement(X_24))) != join(complement(X_24),join(complement(complement(X_24)),X_40))
| join(zero,join(complement(complement(X_24)),join(X_40,complement(X_24)))) != join(zero,join(complement(complement(X_24)),join(X_40,complement(X_24))))
| join(zero,join(complement(complement(X_24)),join(X_40,complement(X_24)))) = join(zero,join(complement(X_24),join(complement(complement(X_24)),X_40))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,join(complement(complement(X_24)),join(X_40,complement(X_24)))),join(zero,join(complement(complement(X_24)),join(X_40,complement(X_24))))) ),[1,1],$fot(join(complement(X_24),join(complement(complement(X_24)),X_40)))]]) ).
cnf(refute_0_393,plain,
( join(complement(complement(X_24)),join(X_40,complement(X_24))) != join(complement(X_24),join(complement(complement(X_24)),X_40))
| join(zero,join(complement(complement(X_24)),join(X_40,complement(X_24)))) = join(zero,join(complement(X_24),join(complement(complement(X_24)),X_40))) ),
inference(resolve,[$cnf( $equal(join(zero,join(complement(complement(X_24)),join(X_40,complement(X_24)))),join(zero,join(complement(complement(X_24)),join(X_40,complement(X_24))))) )],[refute_0_391,refute_0_392]) ).
cnf(refute_0_394,plain,
join(zero,join(complement(complement(X_24)),join(X_40,complement(X_24)))) = join(zero,join(complement(X_24),join(complement(complement(X_24)),X_40))),
inference(resolve,[$cnf( $equal(join(complement(complement(X_24)),join(X_40,complement(X_24))),join(complement(X_24),join(complement(complement(X_24)),X_40))) )],[refute_0_390,refute_0_393]) ).
cnf(refute_0_395,plain,
join(complement(complement(X_24)),join(join(X_40,complement(X_24)),zero)) = join(zero,join(complement(complement(X_24)),join(X_40,complement(X_24)))),
inference(subst,[],[refute_0_389:[bind(X0,$fot(zero)),bind(X_40,$fot(complement(complement(X_24)))),bind(X_41,$fot(join(X_40,complement(X_24))))]]) ).
cnf(refute_0_396,plain,
join(join(X_40,complement(X_24)),join(zero,complement(complement(X_24)))) = join(complement(complement(X_24)),join(join(X_40,complement(X_24)),zero)),
inference(subst,[],[refute_0_389:[bind(X0,$fot(complement(complement(X_24)))),bind(X_40,$fot(join(X_40,complement(X_24)))),bind(X_41,$fot(zero))]]) ).
cnf(refute_0_397,plain,
( join(complement(complement(X_24)),join(join(X_40,complement(X_24)),zero)) != join(zero,join(complement(complement(X_24)),join(X_40,complement(X_24))))
| join(join(X_40,complement(X_24)),join(zero,complement(complement(X_24)))) != join(complement(complement(X_24)),join(join(X_40,complement(X_24)),zero))
| join(join(X_40,complement(X_24)),join(zero,complement(complement(X_24)))) = join(zero,join(complement(complement(X_24)),join(X_40,complement(X_24)))) ),
inference(subst,[],[refute_0_21:[bind(X,$fot(join(join(X_40,complement(X_24)),join(zero,complement(complement(X_24)))))),bind(Y,$fot(join(complement(complement(X_24)),join(join(X_40,complement(X_24)),zero)))),bind(Z,$fot(join(zero,join(complement(complement(X_24)),join(X_40,complement(X_24))))))]]) ).
cnf(refute_0_398,plain,
( join(complement(complement(X_24)),join(join(X_40,complement(X_24)),zero)) != join(zero,join(complement(complement(X_24)),join(X_40,complement(X_24))))
| join(join(X_40,complement(X_24)),join(zero,complement(complement(X_24)))) = join(zero,join(complement(complement(X_24)),join(X_40,complement(X_24)))) ),
inference(resolve,[$cnf( $equal(join(join(X_40,complement(X_24)),join(zero,complement(complement(X_24)))),join(complement(complement(X_24)),join(join(X_40,complement(X_24)),zero))) )],[refute_0_396,refute_0_397]) ).
cnf(refute_0_399,plain,
join(join(X_40,complement(X_24)),join(zero,complement(complement(X_24)))) = join(zero,join(complement(complement(X_24)),join(X_40,complement(X_24)))),
inference(resolve,[$cnf( $equal(join(complement(complement(X_24)),join(join(X_40,complement(X_24)),zero)),join(zero,join(complement(complement(X_24)),join(X_40,complement(X_24))))) )],[refute_0_395,refute_0_398]) ).
cnf(refute_0_400,plain,
( join(join(X_40,complement(X_24)),join(zero,complement(complement(X_24)))) != join(zero,join(complement(complement(X_24)),join(X_40,complement(X_24))))
| join(zero,join(complement(complement(X_24)),join(X_40,complement(X_24)))) != join(zero,join(complement(X_24),join(complement(complement(X_24)),X_40)))
| join(join(X_40,complement(X_24)),join(zero,complement(complement(X_24)))) = join(zero,join(complement(X_24),join(complement(complement(X_24)),X_40))) ),
inference(subst,[],[refute_0_21:[bind(X,$fot(join(join(X_40,complement(X_24)),join(zero,complement(complement(X_24)))))),bind(Y,$fot(join(zero,join(complement(complement(X_24)),join(X_40,complement(X_24)))))),bind(Z,$fot(join(zero,join(complement(X_24),join(complement(complement(X_24)),X_40)))))]]) ).
cnf(refute_0_401,plain,
( join(zero,join(complement(complement(X_24)),join(X_40,complement(X_24)))) != join(zero,join(complement(X_24),join(complement(complement(X_24)),X_40)))
| join(join(X_40,complement(X_24)),join(zero,complement(complement(X_24)))) = join(zero,join(complement(X_24),join(complement(complement(X_24)),X_40))) ),
inference(resolve,[$cnf( $equal(join(join(X_40,complement(X_24)),join(zero,complement(complement(X_24)))),join(zero,join(complement(complement(X_24)),join(X_40,complement(X_24))))) )],[refute_0_399,refute_0_400]) ).
cnf(refute_0_402,plain,
join(join(X_40,complement(X_24)),join(zero,complement(complement(X_24)))) = join(zero,join(complement(X_24),join(complement(complement(X_24)),X_40))),
inference(resolve,[$cnf( $equal(join(zero,join(complement(complement(X_24)),join(X_40,complement(X_24)))),join(zero,join(complement(X_24),join(complement(complement(X_24)),X_40)))) )],[refute_0_394,refute_0_401]) ).
cnf(refute_0_403,plain,
( join(X_40,top) != join(join(X_40,complement(X_24)),join(zero,complement(complement(X_24))))
| join(join(X_40,complement(X_24)),join(zero,complement(complement(X_24)))) != join(zero,join(complement(X_24),join(complement(complement(X_24)),X_40)))
| join(X_40,top) = join(zero,join(complement(X_24),join(complement(complement(X_24)),X_40))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_40,top),join(zero,join(complement(X_24),join(complement(complement(X_24)),X_40)))) ),[0],$fot(join(join(X_40,complement(X_24)),join(zero,complement(complement(X_24)))))]]) ).
cnf(refute_0_404,plain,
( join(X_40,top) != join(join(X_40,complement(X_24)),join(zero,complement(complement(X_24))))
| join(X_40,top) = join(zero,join(complement(X_24),join(complement(complement(X_24)),X_40))) ),
inference(resolve,[$cnf( $equal(join(join(X_40,complement(X_24)),join(zero,complement(complement(X_24)))),join(zero,join(complement(X_24),join(complement(complement(X_24)),X_40)))) )],[refute_0_402,refute_0_403]) ).
cnf(refute_0_405,plain,
join(X_40,top) = join(zero,join(complement(X_24),join(complement(complement(X_24)),X_40))),
inference(resolve,[$cnf( $equal(join(X_40,top),join(join(X_40,complement(X_24)),join(zero,complement(complement(X_24))))) )],[refute_0_380,refute_0_404]) ).
cnf(refute_0_406,plain,
join(top,join(zero,X_42)) = join(join(top,zero),X_42),
inference(subst,[],[refute_0_121:[bind(X0,$fot(top)),bind(X1,$fot(zero)),bind(X2,$fot(X_42))]]) ).
cnf(refute_0_407,plain,
( join(top,join(zero,X_42)) != join(join(top,zero),X_42)
| join(top,zero) != top
| join(top,join(zero,X_42)) = join(top,X_42) ),
introduced(tautology,[equality,[$cnf( $equal(join(top,join(zero,X_42)),join(join(top,zero),X_42)) ),[1,0],$fot(top)]]) ).
cnf(refute_0_408,plain,
( join(top,join(zero,X_42)) != join(join(top,zero),X_42)
| join(top,join(zero,X_42)) = join(top,X_42) ),
inference(resolve,[$cnf( $equal(join(top,zero),top) )],[refute_0_279,refute_0_407]) ).
cnf(refute_0_409,plain,
join(top,join(zero,X_42)) = join(top,X_42),
inference(resolve,[$cnf( $equal(join(top,join(zero,X_42)),join(join(top,zero),X_42)) )],[refute_0_406,refute_0_408]) ).
cnf(refute_0_410,plain,
join(top,join(zero,X_40)) = join(top,X_40),
inference(subst,[],[refute_0_409:[bind(X_42,$fot(X_40))]]) ).
cnf(refute_0_411,plain,
join(X_40,join(X_41,X_42)) = join(join(X_40,X_41),X_42),
inference(subst,[],[refute_0_121:[bind(X0,$fot(X_40)),bind(X1,$fot(X_41)),bind(X2,$fot(X_42))]]) ).
cnf(refute_0_412,plain,
join(X_41,X_40) = join(X_40,X_41),
inference(subst,[],[refute_0_2:[bind(X0,$fot(X_41)),bind(X1,$fot(X_40))]]) ).
cnf(refute_0_413,plain,
( join(X_41,X_40) != join(X_40,X_41)
| join(X_40,X_41) = join(X_41,X_40) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(join(X_41,X_40))),bind(Y,$fot(join(X_40,X_41)))]]) ).
cnf(refute_0_414,plain,
join(X_40,X_41) = join(X_41,X_40),
inference(resolve,[$cnf( $equal(join(X_41,X_40),join(X_40,X_41)) )],[refute_0_412,refute_0_413]) ).
cnf(refute_0_415,plain,
( join(X_40,X_41) != join(X_41,X_40)
| join(X_40,join(X_41,X_42)) != join(join(X_40,X_41),X_42)
| join(X_40,join(X_41,X_42)) = join(join(X_41,X_40),X_42) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_40,join(X_41,X_42)),join(join(X_40,X_41),X_42)) ),[1,0],$fot(join(X_41,X_40))]]) ).
cnf(refute_0_416,plain,
( join(X_40,join(X_41,X_42)) != join(join(X_40,X_41),X_42)
| join(X_40,join(X_41,X_42)) = join(join(X_41,X_40),X_42) ),
inference(resolve,[$cnf( $equal(join(X_40,X_41),join(X_41,X_40)) )],[refute_0_414,refute_0_415]) ).
cnf(refute_0_417,plain,
join(X_40,join(X_41,X_42)) = join(join(X_41,X_40),X_42),
inference(resolve,[$cnf( $equal(join(X_40,join(X_41,X_42)),join(join(X_40,X_41),X_42)) )],[refute_0_411,refute_0_416]) ).
cnf(refute_0_418,plain,
join(join(X_41,X_40),X_42) = join(X_41,join(X_40,X_42)),
inference(subst,[],[refute_0_131:[bind(X0,$fot(X_41)),bind(X1,$fot(X_40)),bind(X2,$fot(X_42))]]) ).
cnf(refute_0_419,plain,
( join(X_40,join(X_41,X_42)) != join(join(X_41,X_40),X_42)
| join(join(X_41,X_40),X_42) != join(X_41,join(X_40,X_42))
| join(X_40,join(X_41,X_42)) = join(X_41,join(X_40,X_42)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_40,join(X_41,X_42)),join(X_41,join(X_40,X_42))) ),[0],$fot(join(join(X_41,X_40),X_42))]]) ).
cnf(refute_0_420,plain,
( join(X_40,join(X_41,X_42)) != join(join(X_41,X_40),X_42)
| join(X_40,join(X_41,X_42)) = join(X_41,join(X_40,X_42)) ),
inference(resolve,[$cnf( $equal(join(join(X_41,X_40),X_42),join(X_41,join(X_40,X_42))) )],[refute_0_418,refute_0_419]) ).
cnf(refute_0_421,plain,
join(X_40,join(X_41,X_42)) = join(X_41,join(X_40,X_42)),
inference(resolve,[$cnf( $equal(join(X_40,join(X_41,X_42)),join(join(X_41,X_40),X_42)) )],[refute_0_417,refute_0_420]) ).
cnf(refute_0_422,plain,
( join(X_40,join(X_41,X_42)) != join(X_41,join(X_40,X_42))
| join(X_41,join(X_40,X_42)) = join(X_40,join(X_41,X_42)) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(join(X_40,join(X_41,X_42)))),bind(Y,$fot(join(X_41,join(X_40,X_42))))]]) ).
cnf(refute_0_423,plain,
join(X_41,join(X_40,X_42)) = join(X_40,join(X_41,X_42)),
inference(resolve,[$cnf( $equal(join(X_40,join(X_41,X_42)),join(X_41,join(X_40,X_42))) )],[refute_0_421,refute_0_422]) ).
cnf(refute_0_424,plain,
join(zero,join(top,X_40)) = join(top,join(zero,X_40)),
inference(subst,[],[refute_0_423:[bind(X_40,$fot(top)),bind(X_41,$fot(zero)),bind(X_42,$fot(X_40))]]) ).
cnf(refute_0_425,plain,
( join(top,join(zero,X_40)) != join(top,X_40)
| join(zero,join(top,X_40)) != join(top,join(zero,X_40))
| join(zero,join(top,X_40)) = join(top,X_40) ),
inference(subst,[],[refute_0_21:[bind(X,$fot(join(zero,join(top,X_40)))),bind(Y,$fot(join(top,join(zero,X_40)))),bind(Z,$fot(join(top,X_40)))]]) ).
cnf(refute_0_426,plain,
( join(top,join(zero,X_40)) != join(top,X_40)
| join(zero,join(top,X_40)) = join(top,X_40) ),
inference(resolve,[$cnf( $equal(join(zero,join(top,X_40)),join(top,join(zero,X_40))) )],[refute_0_424,refute_0_425]) ).
cnf(refute_0_427,plain,
join(zero,join(top,X_40)) = join(top,X_40),
inference(resolve,[$cnf( $equal(join(top,join(zero,X_40)),join(top,X_40)) )],[refute_0_410,refute_0_426]) ).
cnf(refute_0_428,plain,
join(X_40,join(complement(X_40),X_42)) = join(join(X_40,complement(X_40)),X_42),
inference(subst,[],[refute_0_121:[bind(X0,$fot(X_40)),bind(X1,$fot(complement(X_40))),bind(X2,$fot(X_42))]]) ).
cnf(refute_0_429,plain,
top = join(X_40,complement(X_40)),
inference(subst,[],[refute_0_66:[bind(X0,$fot(X_40))]]) ).
cnf(refute_0_430,plain,
( top != join(X_40,complement(X_40))
| join(X_40,complement(X_40)) = top ),
inference(subst,[],[refute_0_5:[bind(X,$fot(top)),bind(Y,$fot(join(X_40,complement(X_40))))]]) ).
cnf(refute_0_431,plain,
join(X_40,complement(X_40)) = top,
inference(resolve,[$cnf( $equal(top,join(X_40,complement(X_40))) )],[refute_0_429,refute_0_430]) ).
cnf(refute_0_432,plain,
( join(X_40,complement(X_40)) != top
| join(X_40,join(complement(X_40),X_42)) != join(join(X_40,complement(X_40)),X_42)
| join(X_40,join(complement(X_40),X_42)) = join(top,X_42) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_40,join(complement(X_40),X_42)),join(join(X_40,complement(X_40)),X_42)) ),[1,0],$fot(top)]]) ).
cnf(refute_0_433,plain,
( join(X_40,join(complement(X_40),X_42)) != join(join(X_40,complement(X_40)),X_42)
| join(X_40,join(complement(X_40),X_42)) = join(top,X_42) ),
inference(resolve,[$cnf( $equal(join(X_40,complement(X_40)),top) )],[refute_0_431,refute_0_432]) ).
cnf(refute_0_434,plain,
join(X_40,join(complement(X_40),X_42)) = join(top,X_42),
inference(resolve,[$cnf( $equal(join(X_40,join(complement(X_40),X_42)),join(join(X_40,complement(X_40)),X_42)) )],[refute_0_428,refute_0_433]) ).
cnf(refute_0_435,plain,
join(complement(X_24),join(complement(complement(X_24)),X_40)) = join(top,X_40),
inference(subst,[],[refute_0_434:[bind(X_40,$fot(complement(X_24))),bind(X_42,$fot(X_40))]]) ).
cnf(refute_0_436,plain,
join(zero,join(complement(X_24),join(complement(complement(X_24)),X_40))) = join(zero,join(complement(X_24),join(complement(complement(X_24)),X_40))),
introduced(tautology,[refl,[$fot(join(zero,join(complement(X_24),join(complement(complement(X_24)),X_40))))]]) ).
cnf(refute_0_437,plain,
( join(complement(X_24),join(complement(complement(X_24)),X_40)) != join(top,X_40)
| join(zero,join(complement(X_24),join(complement(complement(X_24)),X_40))) != join(zero,join(complement(X_24),join(complement(complement(X_24)),X_40)))
| join(zero,join(complement(X_24),join(complement(complement(X_24)),X_40))) = join(zero,join(top,X_40)) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,join(complement(X_24),join(complement(complement(X_24)),X_40))),join(zero,join(complement(X_24),join(complement(complement(X_24)),X_40)))) ),[1,1],$fot(join(top,X_40))]]) ).
cnf(refute_0_438,plain,
( join(complement(X_24),join(complement(complement(X_24)),X_40)) != join(top,X_40)
| join(zero,join(complement(X_24),join(complement(complement(X_24)),X_40))) = join(zero,join(top,X_40)) ),
inference(resolve,[$cnf( $equal(join(zero,join(complement(X_24),join(complement(complement(X_24)),X_40))),join(zero,join(complement(X_24),join(complement(complement(X_24)),X_40)))) )],[refute_0_436,refute_0_437]) ).
cnf(refute_0_439,plain,
join(zero,join(complement(X_24),join(complement(complement(X_24)),X_40))) = join(zero,join(top,X_40)),
inference(resolve,[$cnf( $equal(join(complement(X_24),join(complement(complement(X_24)),X_40)),join(top,X_40)) )],[refute_0_435,refute_0_438]) ).
cnf(refute_0_440,plain,
( join(zero,join(complement(X_24),join(complement(complement(X_24)),X_40))) != join(zero,join(top,X_40))
| join(zero,join(top,X_40)) != join(top,X_40)
| join(zero,join(complement(X_24),join(complement(complement(X_24)),X_40))) = join(top,X_40) ),
inference(subst,[],[refute_0_21:[bind(X,$fot(join(zero,join(complement(X_24),join(complement(complement(X_24)),X_40))))),bind(Y,$fot(join(zero,join(top,X_40)))),bind(Z,$fot(join(top,X_40)))]]) ).
cnf(refute_0_441,plain,
( join(zero,join(top,X_40)) != join(top,X_40)
| join(zero,join(complement(X_24),join(complement(complement(X_24)),X_40))) = join(top,X_40) ),
inference(resolve,[$cnf( $equal(join(zero,join(complement(X_24),join(complement(complement(X_24)),X_40))),join(zero,join(top,X_40))) )],[refute_0_439,refute_0_440]) ).
cnf(refute_0_442,plain,
join(zero,join(complement(X_24),join(complement(complement(X_24)),X_40))) = join(top,X_40),
inference(resolve,[$cnf( $equal(join(zero,join(top,X_40)),join(top,X_40)) )],[refute_0_427,refute_0_441]) ).
cnf(refute_0_443,plain,
( join(X_40,top) != join(zero,join(complement(X_24),join(complement(complement(X_24)),X_40)))
| join(zero,join(complement(X_24),join(complement(complement(X_24)),X_40))) != join(top,X_40)
| join(X_40,top) = join(top,X_40) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_40,top),join(top,X_40)) ),[0],$fot(join(zero,join(complement(X_24),join(complement(complement(X_24)),X_40))))]]) ).
cnf(refute_0_444,plain,
( join(X_40,top) != join(zero,join(complement(X_24),join(complement(complement(X_24)),X_40)))
| join(X_40,top) = join(top,X_40) ),
inference(resolve,[$cnf( $equal(join(zero,join(complement(X_24),join(complement(complement(X_24)),X_40))),join(top,X_40)) )],[refute_0_442,refute_0_443]) ).
cnf(refute_0_445,plain,
join(X_40,top) = join(top,X_40),
inference(resolve,[$cnf( $equal(join(X_40,top),join(zero,join(complement(X_24),join(complement(complement(X_24)),X_40)))) )],[refute_0_405,refute_0_444]) ).
cnf(refute_0_446,plain,
join(converse(top),top) = join(top,converse(top)),
inference(subst,[],[refute_0_445:[bind(X_40,$fot(converse(top)))]]) ).
cnf(refute_0_447,plain,
( join(converse(top),top) != join(top,converse(top))
| join(top,converse(top)) != converse(top)
| join(converse(top),top) = converse(top) ),
inference(subst,[],[refute_0_21:[bind(X,$fot(join(converse(top),top))),bind(Y,$fot(join(top,converse(top)))),bind(Z,$fot(converse(top)))]]) ).
cnf(refute_0_448,plain,
( join(top,converse(top)) != converse(top)
| join(converse(top),top) = converse(top) ),
inference(resolve,[$cnf( $equal(join(converse(top),top),join(top,converse(top))) )],[refute_0_446,refute_0_447]) ).
cnf(refute_0_449,plain,
join(converse(top),top) = converse(top),
inference(resolve,[$cnf( $equal(join(top,converse(top)),converse(top)) )],[refute_0_356,refute_0_448]) ).
cnf(refute_0_450,plain,
converse(join(X_4,converse(X0))) = join(converse(X_4),converse(converse(X0))),
inference(subst,[],[refute_0_59:[bind(X0,$fot(X_4)),bind(X1,$fot(converse(X0)))]]) ).
cnf(refute_0_451,plain,
( converse(converse(X0)) != X0
| converse(join(X_4,converse(X0))) != join(converse(X_4),converse(converse(X0)))
| converse(join(X_4,converse(X0))) = join(converse(X_4),X0) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X_4,converse(X0))),join(converse(X_4),converse(converse(X0)))) ),[1,1],$fot(X0)]]) ).
cnf(refute_0_452,plain,
( converse(join(X_4,converse(X0))) != join(converse(X_4),converse(converse(X0)))
| converse(join(X_4,converse(X0))) = join(converse(X_4),X0) ),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_0_61,refute_0_451]) ).
cnf(refute_0_453,plain,
converse(join(X_4,converse(X0))) = join(converse(X_4),X0),
inference(resolve,[$cnf( $equal(converse(join(X_4,converse(X0))),join(converse(X_4),converse(converse(X0)))) )],[refute_0_450,refute_0_452]) ).
cnf(refute_0_454,plain,
converse(join(top,converse(top))) = join(converse(top),top),
inference(subst,[],[refute_0_453:[bind(X0,$fot(top)),bind(X_4,$fot(top))]]) ).
cnf(refute_0_455,plain,
( converse(join(top,converse(top))) != join(converse(top),top)
| join(converse(top),top) != converse(top)
| converse(join(top,converse(top))) = converse(top) ),
inference(subst,[],[refute_0_21:[bind(X,$fot(converse(join(top,converse(top))))),bind(Y,$fot(join(converse(top),top))),bind(Z,$fot(converse(top)))]]) ).
cnf(refute_0_456,plain,
( join(converse(top),top) != converse(top)
| converse(join(top,converse(top))) = converse(top) ),
inference(resolve,[$cnf( $equal(converse(join(top,converse(top))),join(converse(top),top)) )],[refute_0_454,refute_0_455]) ).
cnf(refute_0_457,plain,
converse(join(top,converse(top))) = converse(top),
inference(resolve,[$cnf( $equal(join(converse(top),top),converse(top)) )],[refute_0_449,refute_0_456]) ).
cnf(refute_0_458,plain,
( converse(join(converse(top),top)) != converse(join(top,converse(top)))
| converse(join(top,converse(top))) != converse(top)
| converse(join(converse(top),top)) = converse(top) ),
inference(subst,[],[refute_0_21:[bind(X,$fot(converse(join(converse(top),top)))),bind(Y,$fot(converse(join(top,converse(top))))),bind(Z,$fot(converse(top)))]]) ).
cnf(refute_0_459,plain,
( converse(join(top,converse(top))) != converse(top)
| converse(join(converse(top),top)) = converse(top) ),
inference(resolve,[$cnf( $equal(converse(join(converse(top),top)),converse(join(top,converse(top)))) )],[refute_0_120,refute_0_458]) ).
cnf(refute_0_460,plain,
converse(join(converse(top),top)) = converse(top),
inference(resolve,[$cnf( $equal(converse(join(top,converse(top))),converse(top)) )],[refute_0_457,refute_0_459]) ).
cnf(refute_0_461,plain,
( converse(join(converse(top),top)) != converse(converse(top))
| converse(join(converse(top),top)) != converse(top)
| converse(top) = converse(converse(top)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(top),top)),converse(converse(top))) ),[0],$fot(converse(top))]]) ).
cnf(refute_0_462,plain,
( converse(join(converse(top),top)) != converse(converse(top))
| converse(top) = converse(converse(top)) ),
inference(resolve,[$cnf( $equal(converse(join(converse(top),top)),converse(top)) )],[refute_0_460,refute_0_461]) ).
cnf(refute_0_463,plain,
converse(converse(top)) = top,
inference(subst,[],[refute_0_61:[bind(X0,$fot(top))]]) ).
cnf(refute_0_464,plain,
( converse(converse(top)) != top
| converse(top) != converse(converse(top))
| converse(top) = top ),
introduced(tautology,[equality,[$cnf( $equal(converse(top),converse(converse(top))) ),[1],$fot(top)]]) ).
cnf(refute_0_465,plain,
( converse(top) != converse(converse(top))
| converse(top) = top ),
inference(resolve,[$cnf( $equal(converse(converse(top)),top) )],[refute_0_463,refute_0_464]) ).
cnf(refute_0_466,plain,
( converse(join(converse(top),top)) != converse(converse(top))
| converse(top) = top ),
inference(resolve,[$cnf( $equal(converse(top),converse(converse(top))) )],[refute_0_462,refute_0_465]) ).
cnf(refute_0_467,plain,
converse(top) = top,
inference(resolve,[$cnf( $equal(converse(join(converse(top),top)),converse(converse(top))) )],[refute_0_359,refute_0_466]) ).
cnf(refute_0_468,plain,
complement(converse(top)) = complement(converse(top)),
introduced(tautology,[refl,[$fot(complement(converse(top)))]]) ).
cnf(refute_0_469,plain,
( complement(converse(top)) != complement(converse(top))
| converse(top) != top
| complement(converse(top)) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(top)),complement(converse(top))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_470,plain,
( converse(top) != top
| complement(converse(top)) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(converse(top)),complement(converse(top))) )],[refute_0_468,refute_0_469]) ).
cnf(refute_0_471,plain,
complement(converse(top)) = complement(top),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_467,refute_0_470]) ).
cnf(refute_0_472,plain,
( complement(converse(top)) != complement(top)
| complement(top) != zero
| complement(converse(top)) = zero ),
inference(subst,[],[refute_0_21:[bind(X,$fot(complement(converse(top)))),bind(Y,$fot(complement(top))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_473,plain,
( complement(top) != zero
| complement(converse(top)) = zero ),
inference(resolve,[$cnf( $equal(complement(converse(top)),complement(top)) )],[refute_0_471,refute_0_472]) ).
cnf(refute_0_474,plain,
complement(converse(top)) = zero,
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_109,refute_0_473]) ).
cnf(refute_0_475,plain,
join(complement(converse(top)),meet(X_29,converse(complement(converse(complement(X_29)))))) = join(complement(converse(top)),meet(X_29,converse(complement(converse(complement(X_29)))))),
introduced(tautology,[refl,[$fot(join(complement(converse(top)),meet(X_29,converse(complement(converse(complement(X_29)))))))]]) ).
cnf(refute_0_476,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_477,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( $equal(join(complement(converse(top)),meet(X_29,converse(complement(converse(complement(X_29)))))),join(complement(converse(top)),meet(X_29,converse(complement(converse(complement(X_29))))))) )],[refute_0_475,refute_0_476]) ).
cnf(refute_0_478,plain,
join(complement(converse(top)),meet(X_29,converse(complement(converse(complement(X_29)))))) = join(zero,meet(X_29,converse(complement(converse(complement(X_29)))))),
inference(resolve,[$cnf( $equal(complement(converse(top)),zero) )],[refute_0_474,refute_0_477]) ).
cnf(refute_0_479,plain,
( X_29 != join(complement(converse(top)),meet(X_29,converse(complement(converse(complement(X_29))))))
| join(complement(converse(top)),meet(X_29,converse(complement(converse(complement(X_29)))))) != join(zero,meet(X_29,converse(complement(converse(complement(X_29))))))
| X_29 = join(zero,meet(X_29,converse(complement(converse(complement(X_29)))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_29,join(zero,meet(X_29,converse(complement(converse(complement(X_29))))))) ),[0],$fot(join(complement(converse(top)),meet(X_29,converse(complement(converse(complement(X_29)))))))]]) ).
cnf(refute_0_480,plain,
( X_29 != join(complement(converse(top)),meet(X_29,converse(complement(converse(complement(X_29))))))
| X_29 = join(zero,meet(X_29,converse(complement(converse(complement(X_29)))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),meet(X_29,converse(complement(converse(complement(X_29)))))),join(zero,meet(X_29,converse(complement(converse(complement(X_29))))))) )],[refute_0_478,refute_0_479]) ).
cnf(refute_0_481,plain,
X_29 = join(zero,meet(X_29,converse(complement(converse(complement(X_29)))))),
inference(resolve,[$cnf( $equal(X_29,join(complement(converse(top)),meet(X_29,converse(complement(converse(complement(X_29))))))) )],[refute_0_82,refute_0_480]) ).
cnf(refute_0_482,plain,
join(zero,join(zero,X_42)) = join(join(zero,zero),X_42),
inference(subst,[],[refute_0_121:[bind(X0,$fot(zero)),bind(X1,$fot(zero)),bind(X2,$fot(X_42))]]) ).
cnf(refute_0_483,plain,
join(zero,zero) = join(zero,meet(join(zero,zero),complement(complement(join(zero,zero))))),
inference(subst,[],[refute_0_182:[bind(X_29,$fot(join(zero,zero)))]]) ).
cnf(refute_0_484,plain,
meet(top,top) = complement(join(zero,complement(top))),
inference(subst,[],[refute_0_211:[bind(X1,$fot(top))]]) ).
cnf(refute_0_485,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_486,plain,
( meet(top,top) != complement(join(zero,complement(top)))
| meet(top,top) = complement(join(zero,zero)) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_109,refute_0_485]) ).
cnf(refute_0_487,plain,
meet(top,top) = complement(join(zero,zero)),
inference(resolve,[$cnf( $equal(meet(top,top),complement(join(zero,complement(top)))) )],[refute_0_484,refute_0_486]) ).
cnf(refute_0_488,plain,
( meet(top,top) != complement(join(zero,zero))
| complement(join(zero,zero)) = meet(top,top) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(meet(top,top))),bind(Y,$fot(complement(join(zero,zero))))]]) ).
cnf(refute_0_489,plain,
complement(join(zero,zero)) = meet(top,top),
inference(resolve,[$cnf( $equal(meet(top,top),complement(join(zero,zero))) )],[refute_0_487,refute_0_488]) ).
cnf(refute_0_490,plain,
( complement(join(zero,zero)) != meet(top,top)
| join(zero,zero) != join(zero,meet(join(zero,zero),complement(complement(join(zero,zero)))))
| join(zero,zero) = join(zero,meet(join(zero,zero),complement(meet(top,top)))) ),
introduced(tautology,[equality,[$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_491,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( $equal(complement(join(zero,zero)),meet(top,top)) )],[refute_0_489,refute_0_490]) ).
cnf(refute_0_492,plain,
join(zero,zero) = join(zero,meet(join(zero,zero),complement(meet(top,top)))),
inference(resolve,[$cnf( $equal(join(zero,zero),join(zero,meet(join(zero,zero),complement(complement(join(zero,zero)))))) )],[refute_0_483,refute_0_491]) ).
cnf(refute_0_493,plain,
complement(top) = join(zero,meet(complement(top),join(zero,meet(top,complement(top))))),
inference(subst,[],[refute_0_163:[bind(X_34,$fot(complement(top)))]]) ).
cnf(refute_0_494,plain,
zero = meet(top,complement(top)),
inference(subst,[],[refute_0_83:[bind(X0,$fot(top))]]) ).
cnf(refute_0_495,plain,
( zero != meet(top,complement(top))
| meet(top,complement(top)) = zero ),
inference(subst,[],[refute_0_5:[bind(X,$fot(zero)),bind(Y,$fot(meet(top,complement(top))))]]) ).
cnf(refute_0_496,plain,
meet(top,complement(top)) = zero,
inference(resolve,[$cnf( $equal(zero,meet(top,complement(top))) )],[refute_0_494,refute_0_495]) ).
cnf(refute_0_497,plain,
( complement(top) != join(zero,meet(complement(top),join(zero,meet(top,complement(top)))))
| meet(top,complement(top)) != zero
| complement(top) = join(zero,meet(complement(top),join(zero,zero))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(top),join(zero,meet(complement(top),join(zero,meet(top,complement(top)))))) ),[1,1,1,1],$fot(zero)]]) ).
cnf(refute_0_498,plain,
( complement(top) != join(zero,meet(complement(top),join(zero,meet(top,complement(top)))))
| complement(top) = join(zero,meet(complement(top),join(zero,zero))) ),
inference(resolve,[$cnf( $equal(meet(top,complement(top)),zero) )],[refute_0_496,refute_0_497]) ).
cnf(refute_0_499,plain,
complement(top) = join(zero,meet(complement(top),join(zero,zero))),
inference(resolve,[$cnf( $equal(complement(top),join(zero,meet(complement(top),join(zero,meet(top,complement(top)))))) )],[refute_0_493,refute_0_498]) ).
cnf(refute_0_500,plain,
( complement(top) != join(zero,meet(complement(top),join(zero,zero)))
| complement(top) != zero
| zero = join(zero,meet(complement(top),join(zero,zero))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(top),join(zero,meet(complement(top),join(zero,zero)))) ),[0],$fot(zero)]]) ).
cnf(refute_0_501,plain,
( complement(top) != join(zero,meet(complement(top),join(zero,zero)))
| zero = join(zero,meet(complement(top),join(zero,zero))) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_109,refute_0_500]) ).
cnf(refute_0_502,plain,
meet(complement(top),join(zero,zero)) = meet(complement(top),join(zero,zero)),
introduced(tautology,[refl,[$fot(meet(complement(top),join(zero,zero)))]]) ).
cnf(refute_0_503,plain,
( complement(top) != zero
| meet(complement(top),join(zero,zero)) != meet(complement(top),join(zero,zero))
| meet(complement(top),join(zero,zero)) = meet(zero,join(zero,zero)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(top),join(zero,zero)),meet(complement(top),join(zero,zero))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_504,plain,
( complement(top) != zero
| meet(complement(top),join(zero,zero)) = meet(zero,join(zero,zero)) ),
inference(resolve,[$cnf( $equal(meet(complement(top),join(zero,zero)),meet(complement(top),join(zero,zero))) )],[refute_0_502,refute_0_503]) ).
cnf(refute_0_505,plain,
meet(complement(top),join(zero,zero)) = meet(zero,join(zero,zero)),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_109,refute_0_504]) ).
cnf(refute_0_506,plain,
join(zero,meet(complement(top),join(zero,zero))) = join(zero,meet(complement(top),join(zero,zero))),
introduced(tautology,[refl,[$fot(join(zero,meet(complement(top),join(zero,zero))))]]) ).
cnf(refute_0_507,plain,
( join(zero,meet(complement(top),join(zero,zero))) != join(zero,meet(complement(top),join(zero,zero)))
| meet(complement(top),join(zero,zero)) != meet(zero,join(zero,zero))
| join(zero,meet(complement(top),join(zero,zero))) = join(zero,meet(zero,join(zero,zero))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(complement(top),join(zero,zero))),join(zero,meet(complement(top),join(zero,zero)))) ),[1,1],$fot(meet(zero,join(zero,zero)))]]) ).
cnf(refute_0_508,plain,
( meet(complement(top),join(zero,zero)) != meet(zero,join(zero,zero))
| join(zero,meet(complement(top),join(zero,zero))) = join(zero,meet(zero,join(zero,zero))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(top),join(zero,zero))),join(zero,meet(complement(top),join(zero,zero)))) )],[refute_0_506,refute_0_507]) ).
cnf(refute_0_509,plain,
join(zero,meet(complement(top),join(zero,zero))) = join(zero,meet(zero,join(zero,zero))),
inference(resolve,[$cnf( $equal(meet(complement(top),join(zero,zero)),meet(zero,join(zero,zero))) )],[refute_0_505,refute_0_508]) ).
cnf(refute_0_510,plain,
( join(zero,meet(complement(top),join(zero,zero))) != join(zero,meet(zero,join(zero,zero)))
| zero != join(zero,meet(complement(top),join(zero,zero)))
| zero = join(zero,meet(zero,join(zero,zero))) ),
introduced(tautology,[equality,[$cnf( $equal(zero,join(zero,meet(complement(top),join(zero,zero)))) ),[1],$fot(join(zero,meet(zero,join(zero,zero))))]]) ).
cnf(refute_0_511,plain,
( zero != join(zero,meet(complement(top),join(zero,zero)))
| zero = join(zero,meet(zero,join(zero,zero))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(top),join(zero,zero))),join(zero,meet(zero,join(zero,zero)))) )],[refute_0_509,refute_0_510]) ).
cnf(refute_0_512,plain,
( complement(top) != join(zero,meet(complement(top),join(zero,zero)))
| zero = join(zero,meet(zero,join(zero,zero))) ),
inference(resolve,[$cnf( $equal(zero,join(zero,meet(complement(top),join(zero,zero)))) )],[refute_0_501,refute_0_511]) ).
cnf(refute_0_513,plain,
zero = join(zero,meet(zero,join(zero,zero))),
inference(resolve,[$cnf( $equal(complement(top),join(zero,meet(complement(top),join(zero,zero)))) )],[refute_0_499,refute_0_512]) ).
cnf(refute_0_514,plain,
( zero != join(zero,meet(zero,join(zero,zero)))
| join(zero,meet(zero,join(zero,zero))) = zero ),
inference(subst,[],[refute_0_5:[bind(X,$fot(zero)),bind(Y,$fot(join(zero,meet(zero,join(zero,zero)))))]]) ).
cnf(refute_0_515,plain,
join(zero,meet(zero,join(zero,zero))) = zero,
inference(resolve,[$cnf( $equal(zero,join(zero,meet(zero,join(zero,zero)))) )],[refute_0_513,refute_0_514]) ).
cnf(refute_0_516,plain,
( meet(X_19,X_20) != meet(X_20,X_19)
| meet(X_20,X_19) = meet(X_19,X_20) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(meet(X_19,X_20))),bind(Y,$fot(meet(X_20,X_19)))]]) ).
cnf(refute_0_517,plain,
meet(X_20,X_19) = meet(X_19,X_20),
inference(resolve,[$cnf( $equal(meet(X_19,X_20),meet(X_20,X_19)) )],[refute_0_39,refute_0_516]) ).
cnf(refute_0_518,plain,
meet(join(zero,zero),zero) = meet(zero,join(zero,zero)),
inference(subst,[],[refute_0_517:[bind(X_19,$fot(zero)),bind(X_20,$fot(join(zero,zero)))]]) ).
cnf(refute_0_519,plain,
meet(top,join(top,top)) = meet(top,join(top,top)),
introduced(tautology,[refl,[$fot(meet(top,join(top,top)))]]) ).
cnf(refute_0_520,plain,
( join(top,top) != top
| meet(top,join(top,top)) != meet(top,join(top,top))
| meet(top,join(top,top)) = meet(top,top) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,join(top,top)),meet(top,join(top,top))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_521,plain,
( join(top,top) != top
| meet(top,join(top,top)) = meet(top,top) ),
inference(resolve,[$cnf( $equal(meet(top,join(top,top)),meet(top,join(top,top))) )],[refute_0_519,refute_0_520]) ).
cnf(refute_0_522,plain,
meet(top,join(top,top)) = meet(top,top),
inference(resolve,[$cnf( $equal(join(top,top),top) )],[refute_0_343,refute_0_521]) ).
cnf(refute_0_523,plain,
( meet(top,join(top,top)) != meet(top,top)
| meet(top,join(top,top)) != top
| meet(top,top) = top ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,join(top,top)),top) ),[0],$fot(meet(top,top))]]) ).
cnf(refute_0_524,plain,
( meet(top,join(top,top)) != top
| meet(top,top) = top ),
inference(resolve,[$cnf( $equal(meet(top,join(top,top)),meet(top,top)) )],[refute_0_522,refute_0_523]) ).
cnf(refute_0_525,plain,
meet(top,top) = top,
inference(resolve,[$cnf( $equal(meet(top,join(top,top)),top) )],[refute_0_315,refute_0_524]) ).
cnf(refute_0_526,plain,
complement(meet(top,top)) = complement(meet(top,top)),
introduced(tautology,[refl,[$fot(complement(meet(top,top)))]]) ).
cnf(refute_0_527,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_528,plain,
( meet(top,top) != top
| complement(meet(top,top)) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(meet(top,top)),complement(meet(top,top))) )],[refute_0_526,refute_0_527]) ).
cnf(refute_0_529,plain,
complement(meet(top,top)) = complement(top),
inference(resolve,[$cnf( $equal(meet(top,top),top) )],[refute_0_525,refute_0_528]) ).
cnf(refute_0_530,plain,
( complement(meet(top,top)) != complement(top)
| complement(top) != zero
| complement(meet(top,top)) = zero ),
inference(subst,[],[refute_0_21:[bind(X,$fot(complement(meet(top,top)))),bind(Y,$fot(complement(top))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_531,plain,
( complement(top) != zero
| complement(meet(top,top)) = zero ),
inference(resolve,[$cnf( $equal(complement(meet(top,top)),complement(top)) )],[refute_0_529,refute_0_530]) ).
cnf(refute_0_532,plain,
complement(meet(top,top)) = zero,
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_109,refute_0_531]) ).
cnf(refute_0_533,plain,
meet(join(zero,zero),complement(meet(top,top))) = meet(join(zero,zero),complement(meet(top,top))),
introduced(tautology,[refl,[$fot(meet(join(zero,zero),complement(meet(top,top))))]]) ).
cnf(refute_0_534,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_535,plain,
( complement(meet(top,top)) != zero
| meet(join(zero,zero),complement(meet(top,top))) = meet(join(zero,zero),zero) ),
inference(resolve,[$cnf( $equal(meet(join(zero,zero),complement(meet(top,top))),meet(join(zero,zero),complement(meet(top,top)))) )],[refute_0_533,refute_0_534]) ).
cnf(refute_0_536,plain,
meet(join(zero,zero),complement(meet(top,top))) = meet(join(zero,zero),zero),
inference(resolve,[$cnf( $equal(complement(meet(top,top)),zero) )],[refute_0_532,refute_0_535]) ).
cnf(refute_0_537,plain,
( meet(join(zero,zero),complement(meet(top,top))) != meet(join(zero,zero),zero)
| meet(join(zero,zero),zero) != meet(zero,join(zero,zero))
| meet(join(zero,zero),complement(meet(top,top))) = meet(zero,join(zero,zero)) ),
inference(subst,[],[refute_0_21:[bind(X,$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_538,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( $equal(meet(join(zero,zero),complement(meet(top,top))),meet(join(zero,zero),zero)) )],[refute_0_536,refute_0_537]) ).
cnf(refute_0_539,plain,
meet(join(zero,zero),complement(meet(top,top))) = meet(zero,join(zero,zero)),
inference(resolve,[$cnf( $equal(meet(join(zero,zero),zero),meet(zero,join(zero,zero))) )],[refute_0_518,refute_0_538]) ).
cnf(refute_0_540,plain,
join(zero,meet(join(zero,zero),complement(meet(top,top)))) = join(zero,meet(join(zero,zero),complement(meet(top,top)))),
introduced(tautology,[refl,[$fot(join(zero,meet(join(zero,zero),complement(meet(top,top)))))]]) ).
cnf(refute_0_541,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_542,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( $equal(join(zero,meet(join(zero,zero),complement(meet(top,top)))),join(zero,meet(join(zero,zero),complement(meet(top,top))))) )],[refute_0_540,refute_0_541]) ).
cnf(refute_0_543,plain,
join(zero,meet(join(zero,zero),complement(meet(top,top)))) = join(zero,meet(zero,join(zero,zero))),
inference(resolve,[$cnf( $equal(meet(join(zero,zero),complement(meet(top,top))),meet(zero,join(zero,zero))) )],[refute_0_539,refute_0_542]) ).
cnf(refute_0_544,plain,
( join(zero,meet(join(zero,zero),complement(meet(top,top)))) != join(zero,meet(zero,join(zero,zero)))
| join(zero,meet(zero,join(zero,zero))) != zero
| join(zero,meet(join(zero,zero),complement(meet(top,top)))) = zero ),
inference(subst,[],[refute_0_21:[bind(X,$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_545,plain,
( join(zero,meet(zero,join(zero,zero))) != zero
| join(zero,meet(join(zero,zero),complement(meet(top,top)))) = zero ),
inference(resolve,[$cnf( $equal(join(zero,meet(join(zero,zero),complement(meet(top,top)))),join(zero,meet(zero,join(zero,zero)))) )],[refute_0_543,refute_0_544]) ).
cnf(refute_0_546,plain,
join(zero,meet(join(zero,zero),complement(meet(top,top)))) = zero,
inference(resolve,[$cnf( $equal(join(zero,meet(zero,join(zero,zero))),zero) )],[refute_0_515,refute_0_545]) ).
cnf(refute_0_547,plain,
( join(zero,meet(join(zero,zero),complement(meet(top,top)))) != zero
| join(zero,zero) != join(zero,meet(join(zero,zero),complement(meet(top,top))))
| join(zero,zero) = zero ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,zero),join(zero,meet(join(zero,zero),complement(meet(top,top))))) ),[1],$fot(zero)]]) ).
cnf(refute_0_548,plain,
( join(zero,zero) != join(zero,meet(join(zero,zero),complement(meet(top,top))))
| join(zero,zero) = zero ),
inference(resolve,[$cnf( $equal(join(zero,meet(join(zero,zero),complement(meet(top,top)))),zero) )],[refute_0_546,refute_0_547]) ).
cnf(refute_0_549,plain,
join(zero,zero) = zero,
inference(resolve,[$cnf( $equal(join(zero,zero),join(zero,meet(join(zero,zero),complement(meet(top,top))))) )],[refute_0_492,refute_0_548]) ).
cnf(refute_0_550,plain,
( join(zero,join(zero,X_42)) != join(join(zero,zero),X_42)
| join(zero,zero) != zero
| join(zero,join(zero,X_42)) = join(zero,X_42) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,join(zero,X_42)),join(join(zero,zero),X_42)) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_551,plain,
( join(zero,join(zero,X_42)) != join(join(zero,zero),X_42)
| join(zero,join(zero,X_42)) = join(zero,X_42) ),
inference(resolve,[$cnf( $equal(join(zero,zero),zero) )],[refute_0_549,refute_0_550]) ).
cnf(refute_0_552,plain,
join(zero,join(zero,X_42)) = join(zero,X_42),
inference(resolve,[$cnf( $equal(join(zero,join(zero,X_42)),join(join(zero,zero),X_42)) )],[refute_0_482,refute_0_551]) ).
cnf(refute_0_553,plain,
join(zero,join(zero,meet(X_29,complement(complement(X_29))))) = join(zero,meet(X_29,complement(complement(X_29)))),
inference(subst,[],[refute_0_552:[bind(X_42,$fot(meet(X_29,complement(complement(X_29)))))]]) ).
cnf(refute_0_554,plain,
( X_29 != join(zero,meet(X_29,complement(complement(X_29))))
| join(zero,meet(X_29,complement(complement(X_29)))) = X_29 ),
inference(subst,[],[refute_0_5:[bind(X,$fot(X_29)),bind(Y,$fot(join(zero,meet(X_29,complement(complement(X_29))))))]]) ).
cnf(refute_0_555,plain,
join(zero,meet(X_29,complement(complement(X_29)))) = X_29,
inference(resolve,[$cnf( $equal(X_29,join(zero,meet(X_29,complement(complement(X_29))))) )],[refute_0_182,refute_0_554]) ).
cnf(refute_0_556,plain,
( join(zero,join(zero,meet(X_29,complement(complement(X_29))))) != join(zero,meet(X_29,complement(complement(X_29))))
| join(zero,meet(X_29,complement(complement(X_29)))) != X_29
| join(zero,X_29) = join(zero,meet(X_29,complement(complement(X_29)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,join(zero,meet(X_29,complement(complement(X_29))))),join(zero,meet(X_29,complement(complement(X_29))))) ),[0,1],$fot(X_29)]]) ).
cnf(refute_0_557,plain,
( join(zero,join(zero,meet(X_29,complement(complement(X_29))))) != join(zero,meet(X_29,complement(complement(X_29))))
| join(zero,X_29) = join(zero,meet(X_29,complement(complement(X_29)))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_29,complement(complement(X_29)))),X_29) )],[refute_0_555,refute_0_556]) ).
cnf(refute_0_558,plain,
join(zero,X_29) = join(zero,meet(X_29,complement(complement(X_29)))),
inference(resolve,[$cnf( $equal(join(zero,join(zero,meet(X_29,complement(complement(X_29))))),join(zero,meet(X_29,complement(complement(X_29))))) )],[refute_0_553,refute_0_557]) ).
cnf(refute_0_559,plain,
( join(zero,X_29) != join(zero,meet(X_29,complement(complement(X_29))))
| join(zero,meet(X_29,complement(complement(X_29)))) != X_29
| join(zero,X_29) = X_29 ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(zero,X_29),X_29) ),[0],$fot(join(zero,meet(X_29,complement(complement(X_29)))))]]) ).
cnf(refute_0_560,plain,
( join(zero,X_29) != join(zero,meet(X_29,complement(complement(X_29))))
| join(zero,X_29) = X_29 ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_29,complement(complement(X_29)))),X_29) )],[refute_0_555,refute_0_559]) ).
cnf(refute_0_561,plain,
join(zero,X_29) = X_29,
inference(resolve,[$cnf( $equal(join(zero,X_29),join(zero,meet(X_29,complement(complement(X_29))))) )],[refute_0_558,refute_0_560]) ).
cnf(refute_0_562,plain,
join(zero,meet(X_29,converse(complement(converse(complement(X_29)))))) = meet(X_29,converse(complement(converse(complement(X_29))))),
inference(subst,[],[refute_0_561:[bind(X_29,$fot(meet(X_29,converse(complement(converse(complement(X_29)))))))]]) ).
cnf(refute_0_563,plain,
( 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)))))
| 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(zero,meet(X_29,converse(complement(converse(complement(X_29)))))))]]) ).
cnf(refute_0_564,plain,
( X_29 != join(zero,meet(X_29,converse(complement(converse(complement(X_29))))))
| X_29 = meet(X_29,converse(complement(converse(complement(X_29))))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_29,converse(complement(converse(complement(X_29)))))),meet(X_29,converse(complement(converse(complement(X_29)))))) )],[refute_0_562,refute_0_563]) ).
cnf(refute_0_565,plain,
X_29 = meet(X_29,converse(complement(converse(complement(X_29))))),
inference(resolve,[$cnf( $equal(X_29,join(zero,meet(X_29,converse(complement(converse(complement(X_29))))))) )],[refute_0_481,refute_0_564]) ).
cnf(refute_0_566,plain,
complement(X_98) = meet(complement(X_98),converse(complement(converse(complement(complement(X_98)))))),
inference(subst,[],[refute_0_565:[bind(X_29,$fot(complement(X_98)))]]) ).
cnf(refute_0_567,plain,
( complement(X_98) != meet(complement(X_98),converse(complement(converse(complement(complement(X_98))))))
| meet(complement(X_98),converse(complement(converse(complement(complement(X_98)))))) = complement(X_98) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(complement(X_98))),bind(Y,$fot(meet(complement(X_98),converse(complement(converse(complement(complement(X_98))))))))]]) ).
cnf(refute_0_568,plain,
meet(complement(X_98),converse(complement(converse(complement(complement(X_98)))))) = complement(X_98),
inference(resolve,[$cnf( $equal(complement(X_98),meet(complement(X_98),converse(complement(converse(complement(complement(X_98))))))) )],[refute_0_566,refute_0_567]) ).
cnf(refute_0_569,plain,
( converse(complement(converse(complement(complement(X_98))))) != join(meet(converse(complement(converse(complement(complement(X_98))))),X_98),meet(complement(X_98),converse(complement(converse(complement(complement(X_98)))))))
| meet(complement(X_98),converse(complement(converse(complement(complement(X_98)))))) != complement(X_98)
| converse(complement(converse(complement(complement(X_98))))) = join(meet(converse(complement(converse(complement(complement(X_98))))),X_98),complement(X_98)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(complement(complement(X_98))))),join(meet(converse(complement(converse(complement(complement(X_98))))),X_98),meet(complement(X_98),converse(complement(converse(complement(complement(X_98)))))))) ),[1,1],$fot(complement(X_98))]]) ).
cnf(refute_0_570,plain,
( converse(complement(converse(complement(complement(X_98))))) != join(meet(converse(complement(converse(complement(complement(X_98))))),X_98),meet(complement(X_98),converse(complement(converse(complement(complement(X_98)))))))
| converse(complement(converse(complement(complement(X_98))))) = join(meet(converse(complement(converse(complement(complement(X_98))))),X_98),complement(X_98)) ),
inference(resolve,[$cnf( $equal(meet(complement(X_98),converse(complement(converse(complement(complement(X_98)))))),complement(X_98)) )],[refute_0_568,refute_0_569]) ).
cnf(refute_0_571,plain,
converse(complement(converse(complement(complement(X_98))))) = join(meet(converse(complement(converse(complement(complement(X_98))))),X_98),complement(X_98)),
inference(resolve,[$cnf( $equal(converse(complement(converse(complement(complement(X_98))))),join(meet(converse(complement(converse(complement(complement(X_98))))),X_98),meet(complement(X_98),converse(complement(converse(complement(complement(X_98)))))))) )],[refute_0_57,refute_0_570]) ).
cnf(refute_0_572,plain,
meet(top,X_23) = join(meet(meet(top,X_23),join(zero,complement(X_23))),complement(join(complement(meet(top,X_23)),join(zero,complement(X_23))))),
inference(subst,[],[refute_0_27:[bind(X0,$fot(meet(top,X_23))),bind(X1,$fot(join(zero,complement(X_23))))]]) ).
cnf(refute_0_573,plain,
zero = meet(join(zero,complement(X_23)),complement(join(zero,complement(X_23)))),
inference(subst,[],[refute_0_83:[bind(X0,$fot(join(zero,complement(X_23))))]]) ).
cnf(refute_0_574,plain,
meet(top,X_23) = complement(join(zero,complement(X_23))),
inference(subst,[],[refute_0_211:[bind(X1,$fot(X_23))]]) ).
cnf(refute_0_575,plain,
( meet(top,X_23) != complement(join(zero,complement(X_23)))
| complement(join(zero,complement(X_23))) = meet(top,X_23) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(meet(top,X_23))),bind(Y,$fot(complement(join(zero,complement(X_23)))))]]) ).
cnf(refute_0_576,plain,
complement(join(zero,complement(X_23))) = meet(top,X_23),
inference(resolve,[$cnf( $equal(meet(top,X_23),complement(join(zero,complement(X_23)))) )],[refute_0_574,refute_0_575]) ).
cnf(refute_0_577,plain,
( complement(join(zero,complement(X_23))) != meet(top,X_23)
| zero != meet(join(zero,complement(X_23)),complement(join(zero,complement(X_23))))
| zero = meet(join(zero,complement(X_23)),meet(top,X_23)) ),
introduced(tautology,[equality,[$cnf( $equal(zero,meet(join(zero,complement(X_23)),complement(join(zero,complement(X_23))))) ),[1,1],$fot(meet(top,X_23))]]) ).
cnf(refute_0_578,plain,
( zero != meet(join(zero,complement(X_23)),complement(join(zero,complement(X_23))))
| zero = meet(join(zero,complement(X_23)),meet(top,X_23)) ),
inference(resolve,[$cnf( $equal(complement(join(zero,complement(X_23))),meet(top,X_23)) )],[refute_0_576,refute_0_577]) ).
cnf(refute_0_579,plain,
zero = meet(join(zero,complement(X_23)),meet(top,X_23)),
inference(resolve,[$cnf( $equal(zero,meet(join(zero,complement(X_23)),complement(join(zero,complement(X_23))))) )],[refute_0_573,refute_0_578]) ).
cnf(refute_0_580,plain,
meet(join(zero,complement(X_23)),meet(top,X_23)) = meet(meet(top,X_23),join(zero,complement(X_23))),
inference(subst,[],[refute_0_517:[bind(X_19,$fot(meet(top,X_23))),bind(X_20,$fot(join(zero,complement(X_23))))]]) ).
cnf(refute_0_581,plain,
( meet(join(zero,complement(X_23)),meet(top,X_23)) != meet(meet(top,X_23),join(zero,complement(X_23)))
| zero != meet(join(zero,complement(X_23)),meet(top,X_23))
| zero = meet(meet(top,X_23),join(zero,complement(X_23))) ),
introduced(tautology,[equality,[$cnf( $equal(zero,meet(join(zero,complement(X_23)),meet(top,X_23))) ),[1],$fot(meet(meet(top,X_23),join(zero,complement(X_23))))]]) ).
cnf(refute_0_582,plain,
( zero != meet(join(zero,complement(X_23)),meet(top,X_23))
| zero = meet(meet(top,X_23),join(zero,complement(X_23))) ),
inference(resolve,[$cnf( $equal(meet(join(zero,complement(X_23)),meet(top,X_23)),meet(meet(top,X_23),join(zero,complement(X_23)))) )],[refute_0_580,refute_0_581]) ).
cnf(refute_0_583,plain,
zero = meet(meet(top,X_23),join(zero,complement(X_23))),
inference(resolve,[$cnf( $equal(zero,meet(join(zero,complement(X_23)),meet(top,X_23))) )],[refute_0_579,refute_0_582]) ).
cnf(refute_0_584,plain,
( zero != meet(meet(top,X_23),join(zero,complement(X_23)))
| meet(meet(top,X_23),join(zero,complement(X_23))) = zero ),
inference(subst,[],[refute_0_5:[bind(X,$fot(zero)),bind(Y,$fot(meet(meet(top,X_23),join(zero,complement(X_23)))))]]) ).
cnf(refute_0_585,plain,
meet(meet(top,X_23),join(zero,complement(X_23))) = zero,
inference(resolve,[$cnf( $equal(zero,meet(meet(top,X_23),join(zero,complement(X_23)))) )],[refute_0_583,refute_0_584]) ).
cnf(refute_0_586,plain,
( meet(meet(top,X_23),join(zero,complement(X_23))) != zero
| meet(top,X_23) != join(meet(meet(top,X_23),join(zero,complement(X_23))),complement(join(complement(meet(top,X_23)),join(zero,complement(X_23)))))
| meet(top,X_23) = join(zero,complement(join(complement(meet(top,X_23)),join(zero,complement(X_23))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,X_23),join(meet(meet(top,X_23),join(zero,complement(X_23))),complement(join(complement(meet(top,X_23)),join(zero,complement(X_23)))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_587,plain,
( meet(top,X_23) != join(meet(meet(top,X_23),join(zero,complement(X_23))),complement(join(complement(meet(top,X_23)),join(zero,complement(X_23)))))
| meet(top,X_23) = join(zero,complement(join(complement(meet(top,X_23)),join(zero,complement(X_23))))) ),
inference(resolve,[$cnf( $equal(meet(meet(top,X_23),join(zero,complement(X_23))),zero) )],[refute_0_585,refute_0_586]) ).
cnf(refute_0_588,plain,
meet(top,X_23) = join(zero,complement(join(complement(meet(top,X_23)),join(zero,complement(X_23))))),
inference(resolve,[$cnf( $equal(meet(top,X_23),join(meet(meet(top,X_23),join(zero,complement(X_23))),complement(join(complement(meet(top,X_23)),join(zero,complement(X_23)))))) )],[refute_0_572,refute_0_587]) ).
cnf(refute_0_589,plain,
join(X_42,X_41) = join(X_41,X_42),
inference(subst,[],[refute_0_2:[bind(X0,$fot(X_42)),bind(X1,$fot(X_41))]]) ).
cnf(refute_0_590,plain,
( join(X_42,X_41) != join(X_41,X_42)
| join(X_41,X_42) = join(X_42,X_41) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(join(X_42,X_41))),bind(Y,$fot(join(X_41,X_42)))]]) ).
cnf(refute_0_591,plain,
join(X_41,X_42) = join(X_42,X_41),
inference(resolve,[$cnf( $equal(join(X_42,X_41),join(X_41,X_42)) )],[refute_0_589,refute_0_590]) ).
cnf(refute_0_592,plain,
( join(X_40,join(X_41,X_42)) != join(join(X_40,X_41),X_42)
| join(X_41,X_42) != join(X_42,X_41)
| join(X_40,join(X_42,X_41)) = join(join(X_40,X_41),X_42) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_40,join(X_41,X_42)),join(join(X_40,X_41),X_42)) ),[0,1],$fot(join(X_42,X_41))]]) ).
cnf(refute_0_593,plain,
( join(X_40,join(X_41,X_42)) != join(join(X_40,X_41),X_42)
| join(X_40,join(X_42,X_41)) = join(join(X_40,X_41),X_42) ),
inference(resolve,[$cnf( $equal(join(X_41,X_42),join(X_42,X_41)) )],[refute_0_591,refute_0_592]) ).
cnf(refute_0_594,plain,
join(X_40,join(X_42,X_41)) = join(join(X_40,X_41),X_42),
inference(resolve,[$cnf( $equal(join(X_40,join(X_41,X_42)),join(join(X_40,X_41),X_42)) )],[refute_0_411,refute_0_593]) ).
cnf(refute_0_595,plain,
join(join(X_40,X_41),X_42) = join(X_40,join(X_41,X_42)),
inference(subst,[],[refute_0_131:[bind(X0,$fot(X_40)),bind(X1,$fot(X_41)),bind(X2,$fot(X_42))]]) ).
cnf(refute_0_596,plain,
( join(X_40,join(X_42,X_41)) != join(join(X_40,X_41),X_42)
| join(join(X_40,X_41),X_42) != join(X_40,join(X_41,X_42))
| join(X_40,join(X_42,X_41)) = join(X_40,join(X_41,X_42)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_40,join(X_42,X_41)),join(X_40,join(X_41,X_42))) ),[0],$fot(join(join(X_40,X_41),X_42))]]) ).
cnf(refute_0_597,plain,
( join(X_40,join(X_42,X_41)) != join(join(X_40,X_41),X_42)
| join(X_40,join(X_42,X_41)) = join(X_40,join(X_41,X_42)) ),
inference(resolve,[$cnf( $equal(join(join(X_40,X_41),X_42),join(X_40,join(X_41,X_42))) )],[refute_0_595,refute_0_596]) ).
cnf(refute_0_598,plain,
join(X_40,join(X_42,X_41)) = join(X_40,join(X_41,X_42)),
inference(resolve,[$cnf( $equal(join(X_40,join(X_42,X_41)),join(join(X_40,X_41),X_42)) )],[refute_0_594,refute_0_597]) ).
cnf(refute_0_599,plain,
( join(X_40,join(X_42,X_41)) != join(X_40,join(X_41,X_42))
| join(X_40,join(X_41,X_42)) = join(X_40,join(X_42,X_41)) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(join(X_40,join(X_42,X_41)))),bind(Y,$fot(join(X_40,join(X_41,X_42))))]]) ).
cnf(refute_0_600,plain,
join(X_40,join(X_41,X_42)) = join(X_40,join(X_42,X_41)),
inference(resolve,[$cnf( $equal(join(X_40,join(X_42,X_41)),join(X_40,join(X_41,X_42))) )],[refute_0_598,refute_0_599]) ).
cnf(refute_0_601,plain,
join(zero,join(complement(meet(top,X_23)),complement(X_23))) = join(zero,join(complement(X_23),complement(meet(top,X_23)))),
inference(subst,[],[refute_0_600:[bind(X_40,$fot(zero)),bind(X_41,$fot(complement(meet(top,X_23)))),bind(X_42,$fot(complement(X_23)))]]) ).
cnf(refute_0_602,plain,
join(complement(meet(top,X_23)),join(zero,complement(X_23))) = join(zero,join(complement(meet(top,X_23)),complement(X_23))),
inference(subst,[],[refute_0_423:[bind(X_40,$fot(zero)),bind(X_41,$fot(complement(meet(top,X_23)))),bind(X_42,$fot(complement(X_23)))]]) ).
cnf(refute_0_603,plain,
( join(complement(meet(top,X_23)),join(zero,complement(X_23))) != join(zero,join(complement(meet(top,X_23)),complement(X_23)))
| join(zero,join(complement(meet(top,X_23)),complement(X_23))) != join(zero,join(complement(X_23),complement(meet(top,X_23))))
| join(complement(meet(top,X_23)),join(zero,complement(X_23))) = join(zero,join(complement(X_23),complement(meet(top,X_23)))) ),
inference(subst,[],[refute_0_21:[bind(X,$fot(join(complement(meet(top,X_23)),join(zero,complement(X_23))))),bind(Y,$fot(join(zero,join(complement(meet(top,X_23)),complement(X_23))))),bind(Z,$fot(join(zero,join(complement(X_23),complement(meet(top,X_23))))))]]) ).
cnf(refute_0_604,plain,
( join(zero,join(complement(meet(top,X_23)),complement(X_23))) != join(zero,join(complement(X_23),complement(meet(top,X_23))))
| join(complement(meet(top,X_23)),join(zero,complement(X_23))) = join(zero,join(complement(X_23),complement(meet(top,X_23)))) ),
inference(resolve,[$cnf( $equal(join(complement(meet(top,X_23)),join(zero,complement(X_23))),join(zero,join(complement(meet(top,X_23)),complement(X_23)))) )],[refute_0_602,refute_0_603]) ).
cnf(refute_0_605,plain,
join(complement(meet(top,X_23)),join(zero,complement(X_23))) = join(zero,join(complement(X_23),complement(meet(top,X_23)))),
inference(resolve,[$cnf( $equal(join(zero,join(complement(meet(top,X_23)),complement(X_23))),join(zero,join(complement(X_23),complement(meet(top,X_23))))) )],[refute_0_601,refute_0_604]) ).
cnf(refute_0_606,plain,
complement(join(complement(meet(top,X_23)),join(zero,complement(X_23)))) = complement(join(complement(meet(top,X_23)),join(zero,complement(X_23)))),
introduced(tautology,[refl,[$fot(complement(join(complement(meet(top,X_23)),join(zero,complement(X_23)))))]]) ).
cnf(refute_0_607,plain,
( complement(join(complement(meet(top,X_23)),join(zero,complement(X_23)))) != complement(join(complement(meet(top,X_23)),join(zero,complement(X_23))))
| join(complement(meet(top,X_23)),join(zero,complement(X_23))) != join(zero,join(complement(X_23),complement(meet(top,X_23))))
| complement(join(complement(meet(top,X_23)),join(zero,complement(X_23)))) = complement(join(zero,join(complement(X_23),complement(meet(top,X_23))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(meet(top,X_23)),join(zero,complement(X_23)))),complement(join(complement(meet(top,X_23)),join(zero,complement(X_23))))) ),[1,0],$fot(join(zero,join(complement(X_23),complement(meet(top,X_23)))))]]) ).
cnf(refute_0_608,plain,
( join(complement(meet(top,X_23)),join(zero,complement(X_23))) != join(zero,join(complement(X_23),complement(meet(top,X_23))))
| complement(join(complement(meet(top,X_23)),join(zero,complement(X_23)))) = complement(join(zero,join(complement(X_23),complement(meet(top,X_23))))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(meet(top,X_23)),join(zero,complement(X_23)))),complement(join(complement(meet(top,X_23)),join(zero,complement(X_23))))) )],[refute_0_606,refute_0_607]) ).
cnf(refute_0_609,plain,
complement(join(complement(meet(top,X_23)),join(zero,complement(X_23)))) = complement(join(zero,join(complement(X_23),complement(meet(top,X_23))))),
inference(resolve,[$cnf( $equal(join(complement(meet(top,X_23)),join(zero,complement(X_23))),join(zero,join(complement(X_23),complement(meet(top,X_23))))) )],[refute_0_605,refute_0_608]) ).
cnf(refute_0_610,plain,
join(zero,complement(join(complement(meet(top,X_23)),join(zero,complement(X_23))))) = join(zero,complement(join(complement(meet(top,X_23)),join(zero,complement(X_23))))),
introduced(tautology,[refl,[$fot(join(zero,complement(join(complement(meet(top,X_23)),join(zero,complement(X_23))))))]]) ).
cnf(refute_0_611,plain,
( complement(join(complement(meet(top,X_23)),join(zero,complement(X_23)))) != complement(join(zero,join(complement(X_23),complement(meet(top,X_23)))))
| join(zero,complement(join(complement(meet(top,X_23)),join(zero,complement(X_23))))) != join(zero,complement(join(complement(meet(top,X_23)),join(zero,complement(X_23)))))
| join(zero,complement(join(complement(meet(top,X_23)),join(zero,complement(X_23))))) = join(zero,complement(join(zero,join(complement(X_23),complement(meet(top,X_23)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,complement(join(complement(meet(top,X_23)),join(zero,complement(X_23))))),join(zero,complement(join(complement(meet(top,X_23)),join(zero,complement(X_23)))))) ),[1,1],$fot(complement(join(zero,join(complement(X_23),complement(meet(top,X_23))))))]]) ).
cnf(refute_0_612,plain,
( complement(join(complement(meet(top,X_23)),join(zero,complement(X_23)))) != complement(join(zero,join(complement(X_23),complement(meet(top,X_23)))))
| join(zero,complement(join(complement(meet(top,X_23)),join(zero,complement(X_23))))) = join(zero,complement(join(zero,join(complement(X_23),complement(meet(top,X_23)))))) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(complement(meet(top,X_23)),join(zero,complement(X_23))))),join(zero,complement(join(complement(meet(top,X_23)),join(zero,complement(X_23)))))) )],[refute_0_610,refute_0_611]) ).
cnf(refute_0_613,plain,
join(zero,complement(join(complement(meet(top,X_23)),join(zero,complement(X_23))))) = join(zero,complement(join(zero,join(complement(X_23),complement(meet(top,X_23)))))),
inference(resolve,[$cnf( $equal(complement(join(complement(meet(top,X_23)),join(zero,complement(X_23)))),complement(join(zero,join(complement(X_23),complement(meet(top,X_23)))))) )],[refute_0_609,refute_0_612]) ).
cnf(refute_0_614,plain,
( join(zero,complement(join(complement(meet(top,X_23)),join(zero,complement(X_23))))) != join(zero,complement(join(zero,join(complement(X_23),complement(meet(top,X_23))))))
| meet(top,X_23) != join(zero,complement(join(complement(meet(top,X_23)),join(zero,complement(X_23)))))
| meet(top,X_23) = join(zero,complement(join(zero,join(complement(X_23),complement(meet(top,X_23)))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,X_23),join(zero,complement(join(complement(meet(top,X_23)),join(zero,complement(X_23)))))) ),[1],$fot(join(zero,complement(join(zero,join(complement(X_23),complement(meet(top,X_23)))))))]]) ).
cnf(refute_0_615,plain,
( meet(top,X_23) != join(zero,complement(join(complement(meet(top,X_23)),join(zero,complement(X_23)))))
| meet(top,X_23) = join(zero,complement(join(zero,join(complement(X_23),complement(meet(top,X_23)))))) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(complement(meet(top,X_23)),join(zero,complement(X_23))))),join(zero,complement(join(zero,join(complement(X_23),complement(meet(top,X_23))))))) )],[refute_0_613,refute_0_614]) ).
cnf(refute_0_616,plain,
meet(top,X_23) = join(zero,complement(join(zero,join(complement(X_23),complement(meet(top,X_23)))))),
inference(resolve,[$cnf( $equal(meet(top,X_23),join(zero,complement(join(complement(meet(top,X_23)),join(zero,complement(X_23)))))) )],[refute_0_588,refute_0_615]) ).
cnf(refute_0_617,plain,
join(zero,complement(X1)) = complement(X1),
inference(subst,[],[refute_0_561:[bind(X_29,$fot(complement(X1)))]]) ).
cnf(refute_0_618,plain,
complement(join(zero,complement(X1))) = complement(join(zero,complement(X1))),
introduced(tautology,[refl,[$fot(complement(join(zero,complement(X1))))]]) ).
cnf(refute_0_619,plain,
( complement(join(zero,complement(X1))) != complement(join(zero,complement(X1)))
| join(zero,complement(X1)) != complement(X1)
| complement(join(zero,complement(X1))) = complement(complement(X1)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(zero,complement(X1))),complement(join(zero,complement(X1)))) ),[1,0],$fot(complement(X1))]]) ).
cnf(refute_0_620,plain,
( join(zero,complement(X1)) != complement(X1)
| complement(join(zero,complement(X1))) = complement(complement(X1)) ),
inference(resolve,[$cnf( $equal(complement(join(zero,complement(X1))),complement(join(zero,complement(X1)))) )],[refute_0_618,refute_0_619]) ).
cnf(refute_0_621,plain,
complement(join(zero,complement(X1))) = complement(complement(X1)),
inference(resolve,[$cnf( $equal(join(zero,complement(X1)),complement(X1)) )],[refute_0_617,refute_0_620]) ).
cnf(refute_0_622,plain,
( complement(join(zero,complement(X1))) != complement(complement(X1))
| meet(top,X1) != complement(join(zero,complement(X1)))
| meet(top,X1) = complement(complement(X1)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,X1),complement(join(zero,complement(X1)))) ),[1],$fot(complement(complement(X1)))]]) ).
cnf(refute_0_623,plain,
( meet(top,X1) != complement(join(zero,complement(X1)))
| meet(top,X1) = complement(complement(X1)) ),
inference(resolve,[$cnf( $equal(complement(join(zero,complement(X1))),complement(complement(X1))) )],[refute_0_621,refute_0_622]) ).
cnf(refute_0_624,plain,
meet(top,X1) = complement(complement(X1)),
inference(resolve,[$cnf( $equal(meet(top,X1),complement(join(zero,complement(X1)))) )],[refute_0_211,refute_0_623]) ).
cnf(refute_0_625,plain,
meet(top,X_23) = complement(complement(X_23)),
inference(subst,[],[refute_0_624:[bind(X1,$fot(X_23))]]) ).
cnf(refute_0_626,plain,
( meet(top,X_23) != complement(complement(X_23))
| meet(top,X_23) != join(zero,complement(join(zero,join(complement(X_23),complement(meet(top,X_23))))))
| complement(complement(X_23)) = join(zero,complement(join(zero,join(complement(X_23),complement(meet(top,X_23)))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,X_23),join(zero,complement(join(zero,join(complement(X_23),complement(meet(top,X_23))))))) ),[0],$fot(complement(complement(X_23)))]]) ).
cnf(refute_0_627,plain,
( meet(top,X_23) != join(zero,complement(join(zero,join(complement(X_23),complement(meet(top,X_23))))))
| complement(complement(X_23)) = join(zero,complement(join(zero,join(complement(X_23),complement(meet(top,X_23)))))) ),
inference(resolve,[$cnf( $equal(meet(top,X_23),complement(complement(X_23))) )],[refute_0_625,refute_0_626]) ).
cnf(refute_0_628,plain,
join(zero,join(zero,meet(X_29,join(zero,complement(complement(X_29)))))) = join(zero,meet(X_29,join(zero,complement(complement(X_29))))),
inference(subst,[],[refute_0_552:[bind(X_42,$fot(meet(X_29,join(zero,complement(complement(X_29))))))]]) ).
cnf(refute_0_629,plain,
X_29 = join(meet(X_29,join(zero,complement(complement(X_29)))),complement(join(complement(X_29),join(zero,complement(complement(X_29)))))),
inference(subst,[],[refute_0_27:[bind(X0,$fot(X_29)),bind(X1,$fot(join(zero,complement(complement(X_29)))))]]) ).
cnf(refute_0_630,plain,
top = join(complement(X_29),join(zero,complement(complement(X_29)))),
inference(subst,[],[refute_0_375:[bind(X_24,$fot(X_29))]]) ).
cnf(refute_0_631,plain,
( top != join(complement(X_29),join(zero,complement(complement(X_29))))
| join(complement(X_29),join(zero,complement(complement(X_29)))) = top ),
inference(subst,[],[refute_0_5:[bind(X,$fot(top)),bind(Y,$fot(join(complement(X_29),join(zero,complement(complement(X_29))))))]]) ).
cnf(refute_0_632,plain,
join(complement(X_29),join(zero,complement(complement(X_29)))) = top,
inference(resolve,[$cnf( $equal(top,join(complement(X_29),join(zero,complement(complement(X_29))))) )],[refute_0_630,refute_0_631]) ).
cnf(refute_0_633,plain,
( X_29 != join(meet(X_29,join(zero,complement(complement(X_29)))),complement(join(complement(X_29),join(zero,complement(complement(X_29))))))
| join(complement(X_29),join(zero,complement(complement(X_29)))) != top
| X_29 = join(meet(X_29,join(zero,complement(complement(X_29)))),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(X_29,join(meet(X_29,join(zero,complement(complement(X_29)))),complement(join(complement(X_29),join(zero,complement(complement(X_29))))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_0_634,plain,
( X_29 != join(meet(X_29,join(zero,complement(complement(X_29)))),complement(join(complement(X_29),join(zero,complement(complement(X_29))))))
| X_29 = join(meet(X_29,join(zero,complement(complement(X_29)))),complement(top)) ),
inference(resolve,[$cnf( $equal(join(complement(X_29),join(zero,complement(complement(X_29)))),top) )],[refute_0_632,refute_0_633]) ).
cnf(refute_0_635,plain,
X_29 = join(meet(X_29,join(zero,complement(complement(X_29)))),complement(top)),
inference(resolve,[$cnf( $equal(X_29,join(meet(X_29,join(zero,complement(complement(X_29)))),complement(join(complement(X_29),join(zero,complement(complement(X_29))))))) )],[refute_0_629,refute_0_634]) ).
cnf(refute_0_636,plain,
join(complement(top),meet(X_29,join(zero,complement(complement(X_29))))) = join(complement(top),meet(X_29,join(zero,complement(complement(X_29))))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(X_29,join(zero,complement(complement(X_29))))))]]) ).
cnf(refute_0_637,plain,
( complement(top) != zero
| join(complement(top),meet(X_29,join(zero,complement(complement(X_29))))) != join(complement(top),meet(X_29,join(zero,complement(complement(X_29)))))
| join(complement(top),meet(X_29,join(zero,complement(complement(X_29))))) = join(zero,meet(X_29,join(zero,complement(complement(X_29))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(X_29,join(zero,complement(complement(X_29))))),join(complement(top),meet(X_29,join(zero,complement(complement(X_29)))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_638,plain,
( complement(top) != zero
| join(complement(top),meet(X_29,join(zero,complement(complement(X_29))))) = join(zero,meet(X_29,join(zero,complement(complement(X_29))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_29,join(zero,complement(complement(X_29))))),join(complement(top),meet(X_29,join(zero,complement(complement(X_29)))))) )],[refute_0_636,refute_0_637]) ).
cnf(refute_0_639,plain,
join(complement(top),meet(X_29,join(zero,complement(complement(X_29))))) = join(zero,meet(X_29,join(zero,complement(complement(X_29))))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_109,refute_0_638]) ).
cnf(refute_0_640,plain,
join(meet(X_29,join(zero,complement(complement(X_29)))),complement(top)) = join(complement(top),meet(X_29,join(zero,complement(complement(X_29))))),
inference(subst,[],[refute_0_7:[bind(X0,$fot(complement(top))),bind(X1,$fot(meet(X_29,join(zero,complement(complement(X_29))))))]]) ).
cnf(refute_0_641,plain,
( join(complement(top),meet(X_29,join(zero,complement(complement(X_29))))) != join(zero,meet(X_29,join(zero,complement(complement(X_29)))))
| join(meet(X_29,join(zero,complement(complement(X_29)))),complement(top)) != join(complement(top),meet(X_29,join(zero,complement(complement(X_29)))))
| join(meet(X_29,join(zero,complement(complement(X_29)))),complement(top)) = join(zero,meet(X_29,join(zero,complement(complement(X_29))))) ),
inference(subst,[],[refute_0_21:[bind(X,$fot(join(meet(X_29,join(zero,complement(complement(X_29)))),complement(top)))),bind(Y,$fot(join(complement(top),meet(X_29,join(zero,complement(complement(X_29))))))),bind(Z,$fot(join(zero,meet(X_29,join(zero,complement(complement(X_29)))))))]]) ).
cnf(refute_0_642,plain,
( join(complement(top),meet(X_29,join(zero,complement(complement(X_29))))) != join(zero,meet(X_29,join(zero,complement(complement(X_29)))))
| join(meet(X_29,join(zero,complement(complement(X_29)))),complement(top)) = join(zero,meet(X_29,join(zero,complement(complement(X_29))))) ),
inference(resolve,[$cnf( $equal(join(meet(X_29,join(zero,complement(complement(X_29)))),complement(top)),join(complement(top),meet(X_29,join(zero,complement(complement(X_29)))))) )],[refute_0_640,refute_0_641]) ).
cnf(refute_0_643,plain,
join(meet(X_29,join(zero,complement(complement(X_29)))),complement(top)) = join(zero,meet(X_29,join(zero,complement(complement(X_29))))),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_29,join(zero,complement(complement(X_29))))),join(zero,meet(X_29,join(zero,complement(complement(X_29)))))) )],[refute_0_639,refute_0_642]) ).
cnf(refute_0_644,plain,
( X_29 != join(meet(X_29,join(zero,complement(complement(X_29)))),complement(top))
| join(meet(X_29,join(zero,complement(complement(X_29)))),complement(top)) != join(zero,meet(X_29,join(zero,complement(complement(X_29)))))
| X_29 = join(zero,meet(X_29,join(zero,complement(complement(X_29))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_29,join(zero,meet(X_29,join(zero,complement(complement(X_29)))))) ),[0],$fot(join(meet(X_29,join(zero,complement(complement(X_29)))),complement(top)))]]) ).
cnf(refute_0_645,plain,
( X_29 != join(meet(X_29,join(zero,complement(complement(X_29)))),complement(top))
| X_29 = join(zero,meet(X_29,join(zero,complement(complement(X_29))))) ),
inference(resolve,[$cnf( $equal(join(meet(X_29,join(zero,complement(complement(X_29)))),complement(top)),join(zero,meet(X_29,join(zero,complement(complement(X_29)))))) )],[refute_0_643,refute_0_644]) ).
cnf(refute_0_646,plain,
X_29 = join(zero,meet(X_29,join(zero,complement(complement(X_29))))),
inference(resolve,[$cnf( $equal(X_29,join(meet(X_29,join(zero,complement(complement(X_29)))),complement(top))) )],[refute_0_635,refute_0_645]) ).
cnf(refute_0_647,plain,
( X_29 != join(zero,meet(X_29,join(zero,complement(complement(X_29)))))
| join(zero,meet(X_29,join(zero,complement(complement(X_29))))) = X_29 ),
inference(subst,[],[refute_0_5:[bind(X,$fot(X_29)),bind(Y,$fot(join(zero,meet(X_29,join(zero,complement(complement(X_29)))))))]]) ).
cnf(refute_0_648,plain,
join(zero,meet(X_29,join(zero,complement(complement(X_29))))) = X_29,
inference(resolve,[$cnf( $equal(X_29,join(zero,meet(X_29,join(zero,complement(complement(X_29)))))) )],[refute_0_646,refute_0_647]) ).
cnf(refute_0_649,plain,
( join(zero,join(zero,meet(X_29,join(zero,complement(complement(X_29)))))) != join(zero,meet(X_29,join(zero,complement(complement(X_29)))))
| join(zero,meet(X_29,join(zero,complement(complement(X_29))))) != X_29
| join(zero,X_29) = join(zero,meet(X_29,join(zero,complement(complement(X_29))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,join(zero,meet(X_29,join(zero,complement(complement(X_29)))))),join(zero,meet(X_29,join(zero,complement(complement(X_29)))))) ),[0,1],$fot(X_29)]]) ).
cnf(refute_0_650,plain,
( join(zero,join(zero,meet(X_29,join(zero,complement(complement(X_29)))))) != join(zero,meet(X_29,join(zero,complement(complement(X_29)))))
| join(zero,X_29) = join(zero,meet(X_29,join(zero,complement(complement(X_29))))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_29,join(zero,complement(complement(X_29))))),X_29) )],[refute_0_648,refute_0_649]) ).
cnf(refute_0_651,plain,
join(zero,X_29) = join(zero,meet(X_29,join(zero,complement(complement(X_29))))),
inference(resolve,[$cnf( $equal(join(zero,join(zero,meet(X_29,join(zero,complement(complement(X_29)))))),join(zero,meet(X_29,join(zero,complement(complement(X_29)))))) )],[refute_0_628,refute_0_650]) ).
cnf(refute_0_652,plain,
( join(zero,X_29) != X_29
| join(zero,X_29) != join(zero,meet(X_29,join(zero,complement(complement(X_29)))))
| X_29 = join(zero,meet(X_29,join(zero,complement(complement(X_29))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,X_29),join(zero,meet(X_29,join(zero,complement(complement(X_29)))))) ),[0],$fot(X_29)]]) ).
cnf(refute_0_653,plain,
( join(zero,X_29) != join(zero,meet(X_29,join(zero,complement(complement(X_29)))))
| X_29 = join(zero,meet(X_29,join(zero,complement(complement(X_29))))) ),
inference(resolve,[$cnf( $equal(join(zero,X_29),X_29) )],[refute_0_561,refute_0_652]) ).
cnf(refute_0_654,plain,
join(zero,complement(complement(X_29))) = complement(complement(X_29)),
inference(subst,[],[refute_0_561:[bind(X_29,$fot(complement(complement(X_29))))]]) ).
cnf(refute_0_655,plain,
meet(X_29,join(zero,complement(complement(X_29)))) = meet(X_29,join(zero,complement(complement(X_29)))),
introduced(tautology,[refl,[$fot(meet(X_29,join(zero,complement(complement(X_29)))))]]) ).
cnf(refute_0_656,plain,
( join(zero,complement(complement(X_29))) != complement(complement(X_29))
| meet(X_29,join(zero,complement(complement(X_29)))) != meet(X_29,join(zero,complement(complement(X_29))))
| meet(X_29,join(zero,complement(complement(X_29)))) = meet(X_29,complement(complement(X_29))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_29,join(zero,complement(complement(X_29)))),meet(X_29,join(zero,complement(complement(X_29))))) ),[1,1],$fot(complement(complement(X_29)))]]) ).
cnf(refute_0_657,plain,
( join(zero,complement(complement(X_29))) != complement(complement(X_29))
| meet(X_29,join(zero,complement(complement(X_29)))) = meet(X_29,complement(complement(X_29))) ),
inference(resolve,[$cnf( $equal(meet(X_29,join(zero,complement(complement(X_29)))),meet(X_29,join(zero,complement(complement(X_29))))) )],[refute_0_655,refute_0_656]) ).
cnf(refute_0_658,plain,
meet(X_29,join(zero,complement(complement(X_29)))) = meet(X_29,complement(complement(X_29))),
inference(resolve,[$cnf( $equal(join(zero,complement(complement(X_29))),complement(complement(X_29))) )],[refute_0_654,refute_0_657]) ).
cnf(refute_0_659,plain,
join(zero,meet(X_29,join(zero,complement(complement(X_29))))) = meet(X_29,join(zero,complement(complement(X_29)))),
inference(subst,[],[refute_0_561:[bind(X_29,$fot(meet(X_29,join(zero,complement(complement(X_29))))))]]) ).
cnf(refute_0_660,plain,
( join(zero,meet(X_29,join(zero,complement(complement(X_29))))) != meet(X_29,join(zero,complement(complement(X_29))))
| meet(X_29,join(zero,complement(complement(X_29)))) != meet(X_29,complement(complement(X_29)))
| join(zero,meet(X_29,join(zero,complement(complement(X_29))))) = meet(X_29,complement(complement(X_29))) ),
inference(subst,[],[refute_0_21:[bind(X,$fot(join(zero,meet(X_29,join(zero,complement(complement(X_29))))))),bind(Y,$fot(meet(X_29,join(zero,complement(complement(X_29)))))),bind(Z,$fot(meet(X_29,complement(complement(X_29)))))]]) ).
cnf(refute_0_661,plain,
( meet(X_29,join(zero,complement(complement(X_29)))) != meet(X_29,complement(complement(X_29)))
| join(zero,meet(X_29,join(zero,complement(complement(X_29))))) = meet(X_29,complement(complement(X_29))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_29,join(zero,complement(complement(X_29))))),meet(X_29,join(zero,complement(complement(X_29))))) )],[refute_0_659,refute_0_660]) ).
cnf(refute_0_662,plain,
join(zero,meet(X_29,join(zero,complement(complement(X_29))))) = meet(X_29,complement(complement(X_29))),
inference(resolve,[$cnf( $equal(meet(X_29,join(zero,complement(complement(X_29)))),meet(X_29,complement(complement(X_29)))) )],[refute_0_658,refute_0_661]) ).
cnf(refute_0_663,plain,
( X_29 != join(zero,meet(X_29,join(zero,complement(complement(X_29)))))
| join(zero,meet(X_29,join(zero,complement(complement(X_29))))) != meet(X_29,complement(complement(X_29)))
| X_29 = meet(X_29,complement(complement(X_29))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_29,meet(X_29,complement(complement(X_29)))) ),[0],$fot(join(zero,meet(X_29,join(zero,complement(complement(X_29))))))]]) ).
cnf(refute_0_664,plain,
( X_29 != join(zero,meet(X_29,join(zero,complement(complement(X_29)))))
| X_29 = meet(X_29,complement(complement(X_29))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_29,join(zero,complement(complement(X_29))))),meet(X_29,complement(complement(X_29)))) )],[refute_0_662,refute_0_663]) ).
cnf(refute_0_665,plain,
( join(zero,X_29) != join(zero,meet(X_29,join(zero,complement(complement(X_29)))))
| X_29 = meet(X_29,complement(complement(X_29))) ),
inference(resolve,[$cnf( $equal(X_29,join(zero,meet(X_29,join(zero,complement(complement(X_29)))))) )],[refute_0_653,refute_0_664]) ).
cnf(refute_0_666,plain,
X_29 = meet(X_29,complement(complement(X_29))),
inference(resolve,[$cnf( $equal(join(zero,X_29),join(zero,meet(X_29,join(zero,complement(complement(X_29)))))) )],[refute_0_651,refute_0_665]) ).
cnf(refute_0_667,plain,
( X_29 != meet(X_29,complement(complement(X_29)))
| meet(X_29,complement(complement(X_29))) = X_29 ),
inference(subst,[],[refute_0_5:[bind(X,$fot(X_29)),bind(Y,$fot(meet(X_29,complement(complement(X_29)))))]]) ).
cnf(refute_0_668,plain,
meet(X_29,complement(complement(X_29))) = X_29,
inference(resolve,[$cnf( $equal(X_29,meet(X_29,complement(complement(X_29)))) )],[refute_0_666,refute_0_667]) ).
cnf(refute_0_669,plain,
meet(X_23,complement(complement(X_23))) = X_23,
inference(subst,[],[refute_0_668:[bind(X_29,$fot(X_23))]]) ).
cnf(refute_0_670,plain,
complement(join(complement(X_23),complement(complement(complement(X_23))))) = meet(X_23,complement(complement(X_23))),
inference(subst,[],[refute_0_15:[bind(X0,$fot(X_23)),bind(X1,$fot(complement(complement(X_23))))]]) ).
cnf(refute_0_671,plain,
( complement(join(complement(X_23),complement(complement(complement(X_23))))) != meet(X_23,complement(complement(X_23)))
| meet(X_23,complement(complement(X_23))) != X_23
| complement(join(complement(X_23),complement(complement(complement(X_23))))) = X_23 ),
inference(subst,[],[refute_0_21:[bind(X,$fot(complement(join(complement(X_23),complement(complement(complement(X_23))))))),bind(Y,$fot(meet(X_23,complement(complement(X_23))))),bind(Z,$fot(X_23))]]) ).
cnf(refute_0_672,plain,
( meet(X_23,complement(complement(X_23))) != X_23
| complement(join(complement(X_23),complement(complement(complement(X_23))))) = X_23 ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_23),complement(complement(complement(X_23))))),meet(X_23,complement(complement(X_23)))) )],[refute_0_670,refute_0_671]) ).
cnf(refute_0_673,plain,
complement(join(complement(X_23),complement(complement(complement(X_23))))) = X_23,
inference(resolve,[$cnf( $equal(meet(X_23,complement(complement(X_23))),X_23) )],[refute_0_669,refute_0_672]) ).
cnf(refute_0_674,plain,
complement(meet(top,X_23)) = complement(meet(top,X_23)),
introduced(tautology,[refl,[$fot(complement(meet(top,X_23)))]]) ).
cnf(refute_0_675,plain,
( complement(meet(top,X_23)) != complement(meet(top,X_23))
| meet(top,X_23) != complement(complement(X_23))
| complement(meet(top,X_23)) = complement(complement(complement(X_23))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(top,X_23)),complement(meet(top,X_23))) ),[1,0],$fot(complement(complement(X_23)))]]) ).
cnf(refute_0_676,plain,
( meet(top,X_23) != complement(complement(X_23))
| complement(meet(top,X_23)) = complement(complement(complement(X_23))) ),
inference(resolve,[$cnf( $equal(complement(meet(top,X_23)),complement(meet(top,X_23))) )],[refute_0_674,refute_0_675]) ).
cnf(refute_0_677,plain,
complement(meet(top,X_23)) = complement(complement(complement(X_23))),
inference(resolve,[$cnf( $equal(meet(top,X_23),complement(complement(X_23))) )],[refute_0_625,refute_0_676]) ).
cnf(refute_0_678,plain,
join(complement(X_23),complement(meet(top,X_23))) = join(complement(X_23),complement(meet(top,X_23))),
introduced(tautology,[refl,[$fot(join(complement(X_23),complement(meet(top,X_23))))]]) ).
cnf(refute_0_679,plain,
( complement(meet(top,X_23)) != complement(complement(complement(X_23)))
| join(complement(X_23),complement(meet(top,X_23))) != join(complement(X_23),complement(meet(top,X_23)))
| join(complement(X_23),complement(meet(top,X_23))) = join(complement(X_23),complement(complement(complement(X_23)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_23),complement(meet(top,X_23))),join(complement(X_23),complement(meet(top,X_23)))) ),[1,1],$fot(complement(complement(complement(X_23))))]]) ).
cnf(refute_0_680,plain,
( complement(meet(top,X_23)) != complement(complement(complement(X_23)))
| join(complement(X_23),complement(meet(top,X_23))) = join(complement(X_23),complement(complement(complement(X_23)))) ),
inference(resolve,[$cnf( $equal(join(complement(X_23),complement(meet(top,X_23))),join(complement(X_23),complement(meet(top,X_23)))) )],[refute_0_678,refute_0_679]) ).
cnf(refute_0_681,plain,
join(complement(X_23),complement(meet(top,X_23))) = join(complement(X_23),complement(complement(complement(X_23)))),
inference(resolve,[$cnf( $equal(complement(meet(top,X_23)),complement(complement(complement(X_23)))) )],[refute_0_677,refute_0_680]) ).
cnf(refute_0_682,plain,
join(zero,join(complement(X_23),complement(meet(top,X_23)))) = join(complement(X_23),complement(meet(top,X_23))),
inference(subst,[],[refute_0_561:[bind(X_29,$fot(join(complement(X_23),complement(meet(top,X_23)))))]]) ).
cnf(refute_0_683,plain,
( join(complement(X_23),complement(meet(top,X_23))) != join(complement(X_23),complement(complement(complement(X_23))))
| join(zero,join(complement(X_23),complement(meet(top,X_23)))) != join(complement(X_23),complement(meet(top,X_23)))
| join(zero,join(complement(X_23),complement(meet(top,X_23)))) = join(complement(X_23),complement(complement(complement(X_23)))) ),
inference(subst,[],[refute_0_21:[bind(X,$fot(join(zero,join(complement(X_23),complement(meet(top,X_23)))))),bind(Y,$fot(join(complement(X_23),complement(meet(top,X_23))))),bind(Z,$fot(join(complement(X_23),complement(complement(complement(X_23))))))]]) ).
cnf(refute_0_684,plain,
( join(complement(X_23),complement(meet(top,X_23))) != join(complement(X_23),complement(complement(complement(X_23))))
| join(zero,join(complement(X_23),complement(meet(top,X_23)))) = join(complement(X_23),complement(complement(complement(X_23)))) ),
inference(resolve,[$cnf( $equal(join(zero,join(complement(X_23),complement(meet(top,X_23)))),join(complement(X_23),complement(meet(top,X_23)))) )],[refute_0_682,refute_0_683]) ).
cnf(refute_0_685,plain,
join(zero,join(complement(X_23),complement(meet(top,X_23)))) = join(complement(X_23),complement(complement(complement(X_23)))),
inference(resolve,[$cnf( $equal(join(complement(X_23),complement(meet(top,X_23))),join(complement(X_23),complement(complement(complement(X_23))))) )],[refute_0_681,refute_0_684]) ).
cnf(refute_0_686,plain,
complement(join(zero,join(complement(X_23),complement(meet(top,X_23))))) = complement(join(zero,join(complement(X_23),complement(meet(top,X_23))))),
introduced(tautology,[refl,[$fot(complement(join(zero,join(complement(X_23),complement(meet(top,X_23))))))]]) ).
cnf(refute_0_687,plain,
( complement(join(zero,join(complement(X_23),complement(meet(top,X_23))))) != complement(join(zero,join(complement(X_23),complement(meet(top,X_23)))))
| join(zero,join(complement(X_23),complement(meet(top,X_23)))) != join(complement(X_23),complement(complement(complement(X_23))))
| complement(join(zero,join(complement(X_23),complement(meet(top,X_23))))) = complement(join(complement(X_23),complement(complement(complement(X_23))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(zero,join(complement(X_23),complement(meet(top,X_23))))),complement(join(zero,join(complement(X_23),complement(meet(top,X_23)))))) ),[1,0],$fot(join(complement(X_23),complement(complement(complement(X_23)))))]]) ).
cnf(refute_0_688,plain,
( join(zero,join(complement(X_23),complement(meet(top,X_23)))) != join(complement(X_23),complement(complement(complement(X_23))))
| complement(join(zero,join(complement(X_23),complement(meet(top,X_23))))) = complement(join(complement(X_23),complement(complement(complement(X_23))))) ),
inference(resolve,[$cnf( $equal(complement(join(zero,join(complement(X_23),complement(meet(top,X_23))))),complement(join(zero,join(complement(X_23),complement(meet(top,X_23)))))) )],[refute_0_686,refute_0_687]) ).
cnf(refute_0_689,plain,
complement(join(zero,join(complement(X_23),complement(meet(top,X_23))))) = complement(join(complement(X_23),complement(complement(complement(X_23))))),
inference(resolve,[$cnf( $equal(join(zero,join(complement(X_23),complement(meet(top,X_23)))),join(complement(X_23),complement(complement(complement(X_23))))) )],[refute_0_685,refute_0_688]) ).
cnf(refute_0_690,plain,
( complement(join(complement(X_23),complement(complement(complement(X_23))))) != X_23
| complement(join(zero,join(complement(X_23),complement(meet(top,X_23))))) != complement(join(complement(X_23),complement(complement(complement(X_23)))))
| complement(join(zero,join(complement(X_23),complement(meet(top,X_23))))) = X_23 ),
inference(subst,[],[refute_0_21:[bind(X,$fot(complement(join(zero,join(complement(X_23),complement(meet(top,X_23))))))),bind(Y,$fot(complement(join(complement(X_23),complement(complement(complement(X_23))))))),bind(Z,$fot(X_23))]]) ).
cnf(refute_0_691,plain,
( complement(join(complement(X_23),complement(complement(complement(X_23))))) != X_23
| complement(join(zero,join(complement(X_23),complement(meet(top,X_23))))) = X_23 ),
inference(resolve,[$cnf( $equal(complement(join(zero,join(complement(X_23),complement(meet(top,X_23))))),complement(join(complement(X_23),complement(complement(complement(X_23)))))) )],[refute_0_689,refute_0_690]) ).
cnf(refute_0_692,plain,
complement(join(zero,join(complement(X_23),complement(meet(top,X_23))))) = X_23,
inference(resolve,[$cnf( $equal(complement(join(complement(X_23),complement(complement(complement(X_23))))),X_23) )],[refute_0_673,refute_0_691]) ).
cnf(refute_0_693,plain,
join(zero,complement(join(zero,join(complement(X_23),complement(meet(top,X_23)))))) = complement(join(zero,join(complement(X_23),complement(meet(top,X_23))))),
inference(subst,[],[refute_0_561:[bind(X_29,$fot(complement(join(zero,join(complement(X_23),complement(meet(top,X_23)))))))]]) ).
cnf(refute_0_694,plain,
( complement(join(zero,join(complement(X_23),complement(meet(top,X_23))))) != X_23
| join(zero,complement(join(zero,join(complement(X_23),complement(meet(top,X_23)))))) != complement(join(zero,join(complement(X_23),complement(meet(top,X_23)))))
| join(zero,complement(join(zero,join(complement(X_23),complement(meet(top,X_23)))))) = X_23 ),
inference(subst,[],[refute_0_21:[bind(X,$fot(join(zero,complement(join(zero,join(complement(X_23),complement(meet(top,X_23)))))))),bind(Y,$fot(complement(join(zero,join(complement(X_23),complement(meet(top,X_23))))))),bind(Z,$fot(X_23))]]) ).
cnf(refute_0_695,plain,
( complement(join(zero,join(complement(X_23),complement(meet(top,X_23))))) != X_23
| join(zero,complement(join(zero,join(complement(X_23),complement(meet(top,X_23)))))) = X_23 ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(zero,join(complement(X_23),complement(meet(top,X_23)))))),complement(join(zero,join(complement(X_23),complement(meet(top,X_23)))))) )],[refute_0_693,refute_0_694]) ).
cnf(refute_0_696,plain,
join(zero,complement(join(zero,join(complement(X_23),complement(meet(top,X_23)))))) = X_23,
inference(resolve,[$cnf( $equal(complement(join(zero,join(complement(X_23),complement(meet(top,X_23))))),X_23) )],[refute_0_692,refute_0_695]) ).
cnf(refute_0_697,plain,
( complement(complement(X_23)) != join(zero,complement(join(zero,join(complement(X_23),complement(meet(top,X_23))))))
| join(zero,complement(join(zero,join(complement(X_23),complement(meet(top,X_23)))))) != X_23
| complement(complement(X_23)) = X_23 ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(complement(X_23)),X_23) ),[0],$fot(join(zero,complement(join(zero,join(complement(X_23),complement(meet(top,X_23)))))))]]) ).
cnf(refute_0_698,plain,
( complement(complement(X_23)) != join(zero,complement(join(zero,join(complement(X_23),complement(meet(top,X_23))))))
| complement(complement(X_23)) = X_23 ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(zero,join(complement(X_23),complement(meet(top,X_23)))))),X_23) )],[refute_0_696,refute_0_697]) ).
cnf(refute_0_699,plain,
( meet(top,X_23) != join(zero,complement(join(zero,join(complement(X_23),complement(meet(top,X_23))))))
| complement(complement(X_23)) = X_23 ),
inference(resolve,[$cnf( $equal(complement(complement(X_23)),join(zero,complement(join(zero,join(complement(X_23),complement(meet(top,X_23))))))) )],[refute_0_627,refute_0_698]) ).
cnf(refute_0_700,plain,
complement(complement(X_23)) = X_23,
inference(resolve,[$cnf( $equal(meet(top,X_23),join(zero,complement(join(zero,join(complement(X_23),complement(meet(top,X_23))))))) )],[refute_0_616,refute_0_699]) ).
cnf(refute_0_701,plain,
complement(complement(X_98)) = X_98,
inference(subst,[],[refute_0_700:[bind(X_23,$fot(X_98))]]) ).
cnf(refute_0_702,plain,
converse(complement(complement(X_98))) = converse(complement(complement(X_98))),
introduced(tautology,[refl,[$fot(converse(complement(complement(X_98))))]]) ).
cnf(refute_0_703,plain,
( complement(complement(X_98)) != X_98
| converse(complement(complement(X_98))) != converse(complement(complement(X_98)))
| converse(complement(complement(X_98))) = converse(X_98) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(complement(X_98))),converse(complement(complement(X_98)))) ),[1,0],$fot(X_98)]]) ).
cnf(refute_0_704,plain,
( complement(complement(X_98)) != X_98
| converse(complement(complement(X_98))) = converse(X_98) ),
inference(resolve,[$cnf( $equal(converse(complement(complement(X_98))),converse(complement(complement(X_98)))) )],[refute_0_702,refute_0_703]) ).
cnf(refute_0_705,plain,
converse(complement(complement(X_98))) = converse(X_98),
inference(resolve,[$cnf( $equal(complement(complement(X_98)),X_98) )],[refute_0_701,refute_0_704]) ).
cnf(refute_0_706,plain,
complement(converse(complement(complement(X_98)))) = complement(converse(complement(complement(X_98)))),
introduced(tautology,[refl,[$fot(complement(converse(complement(complement(X_98)))))]]) ).
cnf(refute_0_707,plain,
( complement(converse(complement(complement(X_98)))) != complement(converse(complement(complement(X_98))))
| converse(complement(complement(X_98))) != converse(X_98)
| complement(converse(complement(complement(X_98)))) = complement(converse(X_98)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(complement(complement(X_98)))),complement(converse(complement(complement(X_98))))) ),[1,0],$fot(converse(X_98))]]) ).
cnf(refute_0_708,plain,
( converse(complement(complement(X_98))) != converse(X_98)
| complement(converse(complement(complement(X_98)))) = complement(converse(X_98)) ),
inference(resolve,[$cnf( $equal(complement(converse(complement(complement(X_98)))),complement(converse(complement(complement(X_98))))) )],[refute_0_706,refute_0_707]) ).
cnf(refute_0_709,plain,
complement(converse(complement(complement(X_98)))) = complement(converse(X_98)),
inference(resolve,[$cnf( $equal(converse(complement(complement(X_98))),converse(X_98)) )],[refute_0_705,refute_0_708]) ).
cnf(refute_0_710,plain,
converse(complement(converse(complement(complement(X_98))))) = converse(complement(converse(complement(complement(X_98))))),
introduced(tautology,[refl,[$fot(converse(complement(converse(complement(complement(X_98))))))]]) ).
cnf(refute_0_711,plain,
( complement(converse(complement(complement(X_98)))) != complement(converse(X_98))
| converse(complement(converse(complement(complement(X_98))))) != converse(complement(converse(complement(complement(X_98)))))
| converse(complement(converse(complement(complement(X_98))))) = converse(complement(converse(X_98))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(complement(complement(X_98))))),converse(complement(converse(complement(complement(X_98)))))) ),[1,0],$fot(complement(converse(X_98)))]]) ).
cnf(refute_0_712,plain,
( complement(converse(complement(complement(X_98)))) != complement(converse(X_98))
| converse(complement(converse(complement(complement(X_98))))) = converse(complement(converse(X_98))) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(complement(complement(X_98))))),converse(complement(converse(complement(complement(X_98)))))) )],[refute_0_710,refute_0_711]) ).
cnf(refute_0_713,plain,
converse(complement(converse(complement(complement(X_98))))) = converse(complement(converse(X_98))),
inference(resolve,[$cnf( $equal(complement(converse(complement(complement(X_98)))),complement(converse(X_98))) )],[refute_0_709,refute_0_712]) ).
cnf(refute_0_714,plain,
( converse(complement(converse(complement(complement(X_98))))) != converse(complement(converse(X_98)))
| converse(complement(converse(complement(complement(X_98))))) != join(meet(converse(complement(converse(complement(complement(X_98))))),X_98),complement(X_98))
| converse(complement(converse(X_98))) = join(meet(converse(complement(converse(complement(complement(X_98))))),X_98),complement(X_98)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(complement(complement(X_98))))),join(meet(converse(complement(converse(complement(complement(X_98))))),X_98),complement(X_98))) ),[0],$fot(converse(complement(converse(X_98))))]]) ).
cnf(refute_0_715,plain,
( converse(complement(converse(complement(complement(X_98))))) != join(meet(converse(complement(converse(complement(complement(X_98))))),X_98),complement(X_98))
| converse(complement(converse(X_98))) = join(meet(converse(complement(converse(complement(complement(X_98))))),X_98),complement(X_98)) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(complement(complement(X_98))))),converse(complement(converse(X_98)))) )],[refute_0_713,refute_0_714]) ).
cnf(refute_0_716,plain,
meet(X_98,converse(complement(converse(complement(complement(X_98)))))) = meet(X_98,converse(complement(converse(complement(complement(X_98)))))),
introduced(tautology,[refl,[$fot(meet(X_98,converse(complement(converse(complement(complement(X_98)))))))]]) ).
cnf(refute_0_717,plain,
( converse(complement(converse(complement(complement(X_98))))) != converse(complement(converse(X_98)))
| meet(X_98,converse(complement(converse(complement(complement(X_98)))))) != meet(X_98,converse(complement(converse(complement(complement(X_98))))))
| meet(X_98,converse(complement(converse(complement(complement(X_98)))))) = meet(X_98,converse(complement(converse(X_98)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_98,converse(complement(converse(complement(complement(X_98)))))),meet(X_98,converse(complement(converse(complement(complement(X_98))))))) ),[1,1],$fot(converse(complement(converse(X_98))))]]) ).
cnf(refute_0_718,plain,
( converse(complement(converse(complement(complement(X_98))))) != converse(complement(converse(X_98)))
| meet(X_98,converse(complement(converse(complement(complement(X_98)))))) = meet(X_98,converse(complement(converse(X_98)))) ),
inference(resolve,[$cnf( $equal(meet(X_98,converse(complement(converse(complement(complement(X_98)))))),meet(X_98,converse(complement(converse(complement(complement(X_98))))))) )],[refute_0_716,refute_0_717]) ).
cnf(refute_0_719,plain,
meet(X_98,converse(complement(converse(complement(complement(X_98)))))) = meet(X_98,converse(complement(converse(X_98)))),
inference(resolve,[$cnf( $equal(converse(complement(converse(complement(complement(X_98))))),converse(complement(converse(X_98)))) )],[refute_0_713,refute_0_718]) ).
cnf(refute_0_720,plain,
meet(converse(complement(converse(complement(complement(X_98))))),X_98) = meet(X_98,converse(complement(converse(complement(complement(X_98)))))),
inference(subst,[],[refute_0_517:[bind(X_19,$fot(X_98)),bind(X_20,$fot(converse(complement(converse(complement(complement(X_98)))))))]]) ).
cnf(refute_0_721,plain,
( meet(X_98,converse(complement(converse(complement(complement(X_98)))))) != meet(X_98,converse(complement(converse(X_98))))
| meet(converse(complement(converse(complement(complement(X_98))))),X_98) != meet(X_98,converse(complement(converse(complement(complement(X_98))))))
| meet(converse(complement(converse(complement(complement(X_98))))),X_98) = meet(X_98,converse(complement(converse(X_98)))) ),
inference(subst,[],[refute_0_21:[bind(X,$fot(meet(converse(complement(converse(complement(complement(X_98))))),X_98))),bind(Y,$fot(meet(X_98,converse(complement(converse(complement(complement(X_98)))))))),bind(Z,$fot(meet(X_98,converse(complement(converse(X_98))))))]]) ).
cnf(refute_0_722,plain,
( meet(X_98,converse(complement(converse(complement(complement(X_98)))))) != meet(X_98,converse(complement(converse(X_98))))
| meet(converse(complement(converse(complement(complement(X_98))))),X_98) = meet(X_98,converse(complement(converse(X_98)))) ),
inference(resolve,[$cnf( $equal(meet(converse(complement(converse(complement(complement(X_98))))),X_98),meet(X_98,converse(complement(converse(complement(complement(X_98))))))) )],[refute_0_720,refute_0_721]) ).
cnf(refute_0_723,plain,
meet(converse(complement(converse(complement(complement(X_98))))),X_98) = meet(X_98,converse(complement(converse(X_98)))),
inference(resolve,[$cnf( $equal(meet(X_98,converse(complement(converse(complement(complement(X_98)))))),meet(X_98,converse(complement(converse(X_98))))) )],[refute_0_719,refute_0_722]) ).
cnf(refute_0_724,plain,
join(complement(X_98),meet(converse(complement(converse(complement(complement(X_98))))),X_98)) = join(complement(X_98),meet(converse(complement(converse(complement(complement(X_98))))),X_98)),
introduced(tautology,[refl,[$fot(join(complement(X_98),meet(converse(complement(converse(complement(complement(X_98))))),X_98)))]]) ).
cnf(refute_0_725,plain,
( join(complement(X_98),meet(converse(complement(converse(complement(complement(X_98))))),X_98)) != join(complement(X_98),meet(converse(complement(converse(complement(complement(X_98))))),X_98))
| meet(converse(complement(converse(complement(complement(X_98))))),X_98) != meet(X_98,converse(complement(converse(X_98))))
| join(complement(X_98),meet(converse(complement(converse(complement(complement(X_98))))),X_98)) = join(complement(X_98),meet(X_98,converse(complement(converse(X_98))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_98),meet(converse(complement(converse(complement(complement(X_98))))),X_98)),join(complement(X_98),meet(converse(complement(converse(complement(complement(X_98))))),X_98))) ),[1,1],$fot(meet(X_98,converse(complement(converse(X_98)))))]]) ).
cnf(refute_0_726,plain,
( meet(converse(complement(converse(complement(complement(X_98))))),X_98) != meet(X_98,converse(complement(converse(X_98))))
| join(complement(X_98),meet(converse(complement(converse(complement(complement(X_98))))),X_98)) = join(complement(X_98),meet(X_98,converse(complement(converse(X_98))))) ),
inference(resolve,[$cnf( $equal(join(complement(X_98),meet(converse(complement(converse(complement(complement(X_98))))),X_98)),join(complement(X_98),meet(converse(complement(converse(complement(complement(X_98))))),X_98))) )],[refute_0_724,refute_0_725]) ).
cnf(refute_0_727,plain,
join(complement(X_98),meet(converse(complement(converse(complement(complement(X_98))))),X_98)) = join(complement(X_98),meet(X_98,converse(complement(converse(X_98))))),
inference(resolve,[$cnf( $equal(meet(converse(complement(converse(complement(complement(X_98))))),X_98),meet(X_98,converse(complement(converse(X_98))))) )],[refute_0_723,refute_0_726]) ).
cnf(refute_0_728,plain,
join(meet(converse(complement(converse(complement(complement(X_98))))),X_98),complement(X_98)) = join(complement(X_98),meet(converse(complement(converse(complement(complement(X_98))))),X_98)),
inference(subst,[],[refute_0_7:[bind(X0,$fot(complement(X_98))),bind(X1,$fot(meet(converse(complement(converse(complement(complement(X_98))))),X_98)))]]) ).
cnf(refute_0_729,plain,
( join(complement(X_98),meet(converse(complement(converse(complement(complement(X_98))))),X_98)) != join(complement(X_98),meet(X_98,converse(complement(converse(X_98)))))
| join(meet(converse(complement(converse(complement(complement(X_98))))),X_98),complement(X_98)) != join(complement(X_98),meet(converse(complement(converse(complement(complement(X_98))))),X_98))
| join(meet(converse(complement(converse(complement(complement(X_98))))),X_98),complement(X_98)) = join(complement(X_98),meet(X_98,converse(complement(converse(X_98))))) ),
inference(subst,[],[refute_0_21:[bind(X,$fot(join(meet(converse(complement(converse(complement(complement(X_98))))),X_98),complement(X_98)))),bind(Y,$fot(join(complement(X_98),meet(converse(complement(converse(complement(complement(X_98))))),X_98)))),bind(Z,$fot(join(complement(X_98),meet(X_98,converse(complement(converse(X_98)))))))]]) ).
cnf(refute_0_730,plain,
( join(complement(X_98),meet(converse(complement(converse(complement(complement(X_98))))),X_98)) != join(complement(X_98),meet(X_98,converse(complement(converse(X_98)))))
| join(meet(converse(complement(converse(complement(complement(X_98))))),X_98),complement(X_98)) = join(complement(X_98),meet(X_98,converse(complement(converse(X_98))))) ),
inference(resolve,[$cnf( $equal(join(meet(converse(complement(converse(complement(complement(X_98))))),X_98),complement(X_98)),join(complement(X_98),meet(converse(complement(converse(complement(complement(X_98))))),X_98))) )],[refute_0_728,refute_0_729]) ).
cnf(refute_0_731,plain,
join(meet(converse(complement(converse(complement(complement(X_98))))),X_98),complement(X_98)) = join(complement(X_98),meet(X_98,converse(complement(converse(X_98))))),
inference(resolve,[$cnf( $equal(join(complement(X_98),meet(converse(complement(converse(complement(complement(X_98))))),X_98)),join(complement(X_98),meet(X_98,converse(complement(converse(X_98)))))) )],[refute_0_727,refute_0_730]) ).
cnf(refute_0_732,plain,
( converse(complement(converse(X_98))) != join(meet(converse(complement(converse(complement(complement(X_98))))),X_98),complement(X_98))
| join(meet(converse(complement(converse(complement(complement(X_98))))),X_98),complement(X_98)) != join(complement(X_98),meet(X_98,converse(complement(converse(X_98)))))
| converse(complement(converse(X_98))) = join(complement(X_98),meet(X_98,converse(complement(converse(X_98))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(complement(converse(X_98))),join(complement(X_98),meet(X_98,converse(complement(converse(X_98)))))) ),[0],$fot(join(meet(converse(complement(converse(complement(complement(X_98))))),X_98),complement(X_98)))]]) ).
cnf(refute_0_733,plain,
( converse(complement(converse(X_98))) != join(meet(converse(complement(converse(complement(complement(X_98))))),X_98),complement(X_98))
| converse(complement(converse(X_98))) = join(complement(X_98),meet(X_98,converse(complement(converse(X_98))))) ),
inference(resolve,[$cnf( $equal(join(meet(converse(complement(converse(complement(complement(X_98))))),X_98),complement(X_98)),join(complement(X_98),meet(X_98,converse(complement(converse(X_98)))))) )],[refute_0_731,refute_0_732]) ).
cnf(refute_0_734,plain,
( converse(complement(converse(complement(complement(X_98))))) != join(meet(converse(complement(converse(complement(complement(X_98))))),X_98),complement(X_98))
| converse(complement(converse(X_98))) = join(complement(X_98),meet(X_98,converse(complement(converse(X_98))))) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(X_98))),join(meet(converse(complement(converse(complement(complement(X_98))))),X_98),complement(X_98))) )],[refute_0_715,refute_0_733]) ).
cnf(refute_0_735,plain,
converse(complement(converse(X_98))) = join(complement(X_98),meet(X_98,converse(complement(converse(X_98))))),
inference(resolve,[$cnf( $equal(converse(complement(converse(complement(complement(X_98))))),join(meet(converse(complement(converse(complement(complement(X_98))))),X_98),complement(X_98))) )],[refute_0_571,refute_0_734]) ).
cnf(refute_0_736,plain,
converse(complement(converse(converse(X0)))) = join(complement(converse(X0)),meet(converse(X0),converse(complement(converse(converse(X0)))))),
inference(subst,[],[refute_0_735:[bind(X_98,$fot(converse(X0)))]]) ).
cnf(refute_0_737,plain,
( converse(complement(converse(converse(X0)))) != join(complement(converse(X0)),meet(converse(X0),converse(complement(converse(converse(X0))))))
| converse(converse(X0)) != X0
| converse(complement(converse(converse(X0)))) = join(complement(converse(X0)),meet(converse(X0),converse(complement(X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(converse(X0)))),join(complement(converse(X0)),meet(converse(X0),converse(complement(converse(converse(X0))))))) ),[1,1,1,0,0],$fot(X0)]]) ).
cnf(refute_0_738,plain,
( converse(complement(converse(converse(X0)))) != join(complement(converse(X0)),meet(converse(X0),converse(complement(converse(converse(X0))))))
| converse(complement(converse(converse(X0)))) = join(complement(converse(X0)),meet(converse(X0),converse(complement(X0)))) ),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_0_61,refute_0_737]) ).
cnf(refute_0_739,plain,
converse(complement(converse(converse(X0)))) = join(complement(converse(X0)),meet(converse(X0),converse(complement(X0)))),
inference(resolve,[$cnf( $equal(converse(complement(converse(converse(X0)))),join(complement(converse(X0)),meet(converse(X0),converse(complement(converse(converse(X0))))))) )],[refute_0_736,refute_0_738]) ).
cnf(refute_0_740,plain,
complement(converse(converse(X0))) = complement(converse(converse(X0))),
introduced(tautology,[refl,[$fot(complement(converse(converse(X0))))]]) ).
cnf(refute_0_741,plain,
( complement(converse(converse(X0))) != complement(converse(converse(X0)))
| converse(converse(X0)) != X0
| complement(converse(converse(X0))) = complement(X0) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(converse(X0))),complement(converse(converse(X0)))) ),[1,0],$fot(X0)]]) ).
cnf(refute_0_742,plain,
( converse(converse(X0)) != X0
| complement(converse(converse(X0))) = complement(X0) ),
inference(resolve,[$cnf( $equal(complement(converse(converse(X0))),complement(converse(converse(X0)))) )],[refute_0_740,refute_0_741]) ).
cnf(refute_0_743,plain,
complement(converse(converse(X0))) = complement(X0),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_0_61,refute_0_742]) ).
cnf(refute_0_744,plain,
converse(complement(converse(converse(X0)))) = converse(complement(converse(converse(X0)))),
introduced(tautology,[refl,[$fot(converse(complement(converse(converse(X0)))))]]) ).
cnf(refute_0_745,plain,
( complement(converse(converse(X0))) != complement(X0)
| converse(complement(converse(converse(X0)))) != converse(complement(converse(converse(X0))))
| converse(complement(converse(converse(X0)))) = converse(complement(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(converse(X0)))),converse(complement(converse(converse(X0))))) ),[1,0],$fot(complement(X0))]]) ).
cnf(refute_0_746,plain,
( complement(converse(converse(X0))) != complement(X0)
| converse(complement(converse(converse(X0)))) = converse(complement(X0)) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(converse(X0)))),converse(complement(converse(converse(X0))))) )],[refute_0_744,refute_0_745]) ).
cnf(refute_0_747,plain,
converse(complement(converse(converse(X0)))) = converse(complement(X0)),
inference(resolve,[$cnf( $equal(complement(converse(converse(X0))),complement(X0)) )],[refute_0_743,refute_0_746]) ).
cnf(refute_0_748,plain,
( converse(complement(converse(converse(X0)))) != converse(complement(X0))
| converse(complement(converse(converse(X0)))) != join(complement(converse(X0)),meet(converse(X0),converse(complement(X0))))
| converse(complement(X0)) = join(complement(converse(X0)),meet(converse(X0),converse(complement(X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(converse(X0)))),join(complement(converse(X0)),meet(converse(X0),converse(complement(X0))))) ),[0],$fot(converse(complement(X0)))]]) ).
cnf(refute_0_749,plain,
( converse(complement(converse(converse(X0)))) != join(complement(converse(X0)),meet(converse(X0),converse(complement(X0))))
| converse(complement(X0)) = join(complement(converse(X0)),meet(converse(X0),converse(complement(X0)))) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(converse(X0)))),converse(complement(X0))) )],[refute_0_747,refute_0_748]) ).
cnf(refute_0_750,plain,
converse(complement(X0)) = join(complement(converse(X0)),meet(converse(X0),converse(complement(X0)))),
inference(resolve,[$cnf( $equal(converse(complement(converse(converse(X0)))),join(complement(converse(X0)),meet(converse(X0),converse(complement(X0))))) )],[refute_0_739,refute_0_749]) ).
cnf(refute_0_751,plain,
join(zero,join(zero,X_45)) = join(zero,X_45),
inference(subst,[],[refute_0_552:[bind(X_42,$fot(X_45))]]) ).
cnf(refute_0_752,plain,
join(X_45,zero) = join(zero,X_45),
inference(subst,[],[refute_0_2:[bind(X0,$fot(X_45)),bind(X1,$fot(zero))]]) ).
cnf(refute_0_753,plain,
( join(X_45,zero) != join(zero,X_45)
| join(zero,X_45) = join(X_45,zero) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(join(X_45,zero))),bind(Y,$fot(join(zero,X_45)))]]) ).
cnf(refute_0_754,plain,
join(zero,X_45) = join(X_45,zero),
inference(resolve,[$cnf( $equal(join(X_45,zero),join(zero,X_45)) )],[refute_0_752,refute_0_753]) ).
cnf(refute_0_755,plain,
( join(zero,X_45) != join(X_45,zero)
| join(zero,join(zero,X_45)) != join(zero,X_45)
| join(zero,join(zero,X_45)) = join(X_45,zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,join(zero,X_45)),join(zero,X_45)) ),[1],$fot(join(X_45,zero))]]) ).
cnf(refute_0_756,plain,
( join(zero,join(zero,X_45)) != join(zero,X_45)
| join(zero,join(zero,X_45)) = join(X_45,zero) ),
inference(resolve,[$cnf( $equal(join(zero,X_45),join(X_45,zero)) )],[refute_0_754,refute_0_755]) ).
cnf(refute_0_757,plain,
join(zero,join(zero,X_45)) = join(X_45,zero),
inference(resolve,[$cnf( $equal(join(zero,join(zero,X_45)),join(zero,X_45)) )],[refute_0_751,refute_0_756]) ).
cnf(refute_0_758,plain,
join(zero,X_45) = X_45,
inference(subst,[],[refute_0_561:[bind(X_29,$fot(X_45))]]) ).
cnf(refute_0_759,plain,
( join(zero,X_45) != X_45
| join(zero,join(zero,X_45)) != join(zero,X_45)
| join(zero,join(zero,X_45)) = X_45 ),
inference(subst,[],[refute_0_21:[bind(X,$fot(join(zero,join(zero,X_45)))),bind(Y,$fot(join(zero,X_45))),bind(Z,$fot(X_45))]]) ).
cnf(refute_0_760,plain,
( join(zero,X_45) != X_45
| join(zero,join(zero,X_45)) = X_45 ),
inference(resolve,[$cnf( $equal(join(zero,join(zero,X_45)),join(zero,X_45)) )],[refute_0_751,refute_0_759]) ).
cnf(refute_0_761,plain,
join(zero,join(zero,X_45)) = X_45,
inference(resolve,[$cnf( $equal(join(zero,X_45),X_45) )],[refute_0_758,refute_0_760]) ).
cnf(refute_0_762,plain,
( join(zero,join(zero,X_45)) != X_45
| join(zero,join(zero,X_45)) != join(X_45,zero)
| X_45 = join(X_45,zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,join(zero,X_45)),join(X_45,zero)) ),[0],$fot(X_45)]]) ).
cnf(refute_0_763,plain,
( join(zero,join(zero,X_45)) != join(X_45,zero)
| X_45 = join(X_45,zero) ),
inference(resolve,[$cnf( $equal(join(zero,join(zero,X_45)),X_45) )],[refute_0_761,refute_0_762]) ).
cnf(refute_0_764,plain,
X_45 = join(X_45,zero),
inference(resolve,[$cnf( $equal(join(zero,join(zero,X_45)),join(X_45,zero)) )],[refute_0_757,refute_0_763]) ).
cnf(refute_0_765,plain,
( X_45 != join(X_45,zero)
| join(X_45,zero) = X_45 ),
inference(subst,[],[refute_0_5:[bind(X,$fot(X_45)),bind(Y,$fot(join(X_45,zero)))]]) ).
cnf(refute_0_766,plain,
join(X_45,zero) = X_45,
inference(resolve,[$cnf( $equal(X_45,join(X_45,zero)) )],[refute_0_764,refute_0_765]) ).
cnf(refute_0_767,plain,
join(complement(converse(X0)),zero) = complement(converse(X0)),
inference(subst,[],[refute_0_766:[bind(X_45,$fot(complement(converse(X0))))]]) ).
cnf(refute_0_768,plain,
join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
inference(canonicalize,[],[normalize_0_19]) ).
cnf(refute_0_769,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_770,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_771,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( $equal(join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),join(complement(X1),composition(converse(X0),complement(composition(X0,X1))))) )],[refute_0_769,refute_0_770]) ).
cnf(refute_0_772,plain,
join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))) = complement(X1),
inference(resolve,[$cnf( $equal(join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),complement(X1)) )],[refute_0_768,refute_0_771]) ).
cnf(refute_0_773,plain,
join(complement(X_71),composition(converse(top),complement(composition(top,X_71)))) = complement(X_71),
inference(subst,[],[refute_0_772:[bind(X0,$fot(top)),bind(X1,$fot(X_71))]]) ).
cnf(refute_0_774,plain,
( converse(top) != top
| join(complement(X_71),composition(converse(top),complement(composition(top,X_71)))) != complement(X_71)
| join(complement(X_71),composition(top,complement(composition(top,X_71)))) = complement(X_71) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_71),composition(converse(top),complement(composition(top,X_71)))),complement(X_71)) ),[0,1,0],$fot(top)]]) ).
cnf(refute_0_775,plain,
( join(complement(X_71),composition(converse(top),complement(composition(top,X_71)))) != complement(X_71)
| join(complement(X_71),composition(top,complement(composition(top,X_71)))) = complement(X_71) ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_467,refute_0_774]) ).
cnf(refute_0_776,plain,
join(complement(X_71),composition(top,complement(composition(top,X_71)))) = complement(X_71),
inference(resolve,[$cnf( $equal(join(complement(X_71),composition(converse(top),complement(composition(top,X_71)))),complement(X_71)) )],[refute_0_773,refute_0_775]) ).
cnf(refute_0_777,plain,
join(complement(complement(X_94)),composition(top,complement(composition(top,complement(X_94))))) = complement(complement(X_94)),
inference(subst,[],[refute_0_776:[bind(X_71,$fot(complement(X_94)))]]) ).
cnf(refute_0_778,plain,
complement(complement(X_94)) = X_94,
inference(subst,[],[refute_0_700:[bind(X_23,$fot(X_94))]]) ).
cnf(refute_0_779,plain,
( complement(complement(X_94)) != X_94
| join(complement(complement(X_94)),composition(top,complement(composition(top,complement(X_94))))) != complement(complement(X_94))
| join(X_94,composition(top,complement(composition(top,complement(X_94))))) = complement(complement(X_94)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(X_94)),composition(top,complement(composition(top,complement(X_94))))),complement(complement(X_94))) ),[0,0],$fot(X_94)]]) ).
cnf(refute_0_780,plain,
( join(complement(complement(X_94)),composition(top,complement(composition(top,complement(X_94))))) != complement(complement(X_94))
| join(X_94,composition(top,complement(composition(top,complement(X_94))))) = complement(complement(X_94)) ),
inference(resolve,[$cnf( $equal(complement(complement(X_94)),X_94) )],[refute_0_778,refute_0_779]) ).
cnf(refute_0_781,plain,
join(X_94,composition(top,complement(composition(top,complement(X_94))))) = complement(complement(X_94)),
inference(resolve,[$cnf( $equal(join(complement(complement(X_94)),composition(top,complement(composition(top,complement(X_94))))),complement(complement(X_94))) )],[refute_0_777,refute_0_780]) ).
cnf(refute_0_782,plain,
( complement(complement(X_94)) != X_94
| join(X_94,composition(top,complement(composition(top,complement(X_94))))) != complement(complement(X_94))
| join(X_94,composition(top,complement(composition(top,complement(X_94))))) = X_94 ),
introduced(tautology,[equality,[$cnf( $equal(join(X_94,composition(top,complement(composition(top,complement(X_94))))),complement(complement(X_94))) ),[1],$fot(X_94)]]) ).
cnf(refute_0_783,plain,
( join(X_94,composition(top,complement(composition(top,complement(X_94))))) != complement(complement(X_94))
| join(X_94,composition(top,complement(composition(top,complement(X_94))))) = X_94 ),
inference(resolve,[$cnf( $equal(complement(complement(X_94)),X_94) )],[refute_0_778,refute_0_782]) ).
cnf(refute_0_784,plain,
join(X_94,composition(top,complement(composition(top,complement(X_94))))) = X_94,
inference(resolve,[$cnf( $equal(join(X_94,composition(top,complement(composition(top,complement(X_94))))),complement(complement(X_94))) )],[refute_0_781,refute_0_783]) ).
cnf(refute_0_785,plain,
join(complement(composition(top,X_115)),composition(converse(top),complement(composition(top,composition(top,X_115))))) = complement(composition(top,X_115)),
inference(subst,[],[refute_0_772:[bind(X0,$fot(top)),bind(X1,$fot(composition(top,X_115)))]]) ).
cnf(refute_0_786,plain,
composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
inference(canonicalize,[],[normalize_0_21]) ).
cnf(refute_0_787,plain,
composition(converse(X1),composition(converse(X0),X_56)) = composition(composition(converse(X1),converse(X0)),X_56),
inference(subst,[],[refute_0_786:[bind(X0,$fot(converse(X1))),bind(X1,$fot(converse(X0))),bind(X2,$fot(X_56))]]) ).
cnf(refute_0_788,plain,
converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(canonicalize,[],[normalize_0_23]) ).
cnf(refute_0_789,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_790,plain,
composition(converse(X1),converse(X0)) = converse(composition(X0,X1)),
inference(resolve,[$cnf( $equal(converse(composition(X0,X1)),composition(converse(X1),converse(X0))) )],[refute_0_788,refute_0_789]) ).
cnf(refute_0_791,plain,
( composition(converse(X1),composition(converse(X0),X_56)) != composition(composition(converse(X1),converse(X0)),X_56)
| composition(converse(X1),converse(X0)) != converse(composition(X0,X1))
| composition(converse(X1),composition(converse(X0),X_56)) = composition(converse(composition(X0,X1)),X_56) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(X1),composition(converse(X0),X_56)),composition(composition(converse(X1),converse(X0)),X_56)) ),[1,0],$fot(converse(composition(X0,X1)))]]) ).
cnf(refute_0_792,plain,
( composition(converse(X1),composition(converse(X0),X_56)) != composition(composition(converse(X1),converse(X0)),X_56)
| composition(converse(X1),composition(converse(X0),X_56)) = composition(converse(composition(X0,X1)),X_56) ),
inference(resolve,[$cnf( $equal(composition(converse(X1),converse(X0)),converse(composition(X0,X1))) )],[refute_0_790,refute_0_791]) ).
cnf(refute_0_793,plain,
composition(converse(X1),composition(converse(X0),X_56)) = composition(converse(composition(X0,X1)),X_56),
inference(resolve,[$cnf( $equal(composition(converse(X1),composition(converse(X0),X_56)),composition(composition(converse(X1),converse(X0)),X_56)) )],[refute_0_787,refute_0_792]) ).
cnf(refute_0_794,plain,
composition(converse(top),composition(converse(top),X_56)) = composition(converse(composition(top,top)),X_56),
inference(subst,[],[refute_0_793:[bind(X0,$fot(top)),bind(X1,$fot(top))]]) ).
cnf(refute_0_795,plain,
join(complement(zero),composition(top,complement(composition(top,zero)))) = complement(zero),
inference(subst,[],[refute_0_776:[bind(X_71,$fot(zero))]]) ).
cnf(refute_0_796,plain,
join(complement(top),composition(converse(X_70),complement(composition(X_70,top)))) = complement(top),
inference(subst,[],[refute_0_772:[bind(X0,$fot(X_70)),bind(X1,$fot(top))]]) ).
cnf(refute_0_797,plain,
( complement(top) != zero
| join(complement(top),composition(converse(X_70),complement(composition(X_70,top)))) != complement(top)
| join(zero,composition(converse(X_70),complement(composition(X_70,top)))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),composition(converse(X_70),complement(composition(X_70,top)))),complement(top)) ),[0,0],$fot(zero)]]) ).
cnf(refute_0_798,plain,
( join(complement(top),composition(converse(X_70),complement(composition(X_70,top)))) != complement(top)
| join(zero,composition(converse(X_70),complement(composition(X_70,top)))) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_109,refute_0_797]) ).
cnf(refute_0_799,plain,
join(zero,composition(converse(X_70),complement(composition(X_70,top)))) = complement(top),
inference(resolve,[$cnf( $equal(join(complement(top),composition(converse(X_70),complement(composition(X_70,top)))),complement(top)) )],[refute_0_796,refute_0_798]) ).
cnf(refute_0_800,plain,
join(zero,composition(converse(X_70),complement(composition(X_70,top)))) = composition(converse(X_70),complement(composition(X_70,top))),
inference(subst,[],[refute_0_561:[bind(X_29,$fot(composition(converse(X_70),complement(composition(X_70,top)))))]]) ).
cnf(refute_0_801,plain,
( join(zero,composition(converse(X_70),complement(composition(X_70,top)))) != complement(top)
| join(zero,composition(converse(X_70),complement(composition(X_70,top)))) != composition(converse(X_70),complement(composition(X_70,top)))
| composition(converse(X_70),complement(composition(X_70,top))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,composition(converse(X_70),complement(composition(X_70,top)))),complement(top)) ),[0],$fot(composition(converse(X_70),complement(composition(X_70,top))))]]) ).
cnf(refute_0_802,plain,
( join(zero,composition(converse(X_70),complement(composition(X_70,top)))) != complement(top)
| composition(converse(X_70),complement(composition(X_70,top))) = complement(top) ),
inference(resolve,[$cnf( $equal(join(zero,composition(converse(X_70),complement(composition(X_70,top)))),composition(converse(X_70),complement(composition(X_70,top)))) )],[refute_0_800,refute_0_801]) ).
cnf(refute_0_803,plain,
( complement(top) != zero
| composition(converse(X_70),complement(composition(X_70,top))) != complement(top)
| composition(converse(X_70),complement(composition(X_70,top))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(X_70),complement(composition(X_70,top))),complement(top)) ),[1],$fot(zero)]]) ).
cnf(refute_0_804,plain,
( composition(converse(X_70),complement(composition(X_70,top))) != complement(top)
| composition(converse(X_70),complement(composition(X_70,top))) = zero ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_109,refute_0_803]) ).
cnf(refute_0_805,plain,
( join(zero,composition(converse(X_70),complement(composition(X_70,top)))) != complement(top)
| composition(converse(X_70),complement(composition(X_70,top))) = zero ),
inference(resolve,[$cnf( $equal(composition(converse(X_70),complement(composition(X_70,top))),complement(top)) )],[refute_0_802,refute_0_804]) ).
cnf(refute_0_806,plain,
composition(converse(X_70),complement(composition(X_70,top))) = zero,
inference(resolve,[$cnf( $equal(join(zero,composition(converse(X_70),complement(composition(X_70,top)))),complement(top)) )],[refute_0_799,refute_0_805]) ).
cnf(refute_0_807,plain,
composition(converse(converse(X0)),complement(composition(converse(X0),top))) = zero,
inference(subst,[],[refute_0_806:[bind(X_70,$fot(converse(X0)))]]) ).
cnf(refute_0_808,plain,
( composition(converse(converse(X0)),complement(composition(converse(X0),top))) != zero
| converse(converse(X0)) != X0
| composition(X0,complement(composition(converse(X0),top))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(converse(X0)),complement(composition(converse(X0),top))),zero) ),[0,0],$fot(X0)]]) ).
cnf(refute_0_809,plain,
( composition(converse(converse(X0)),complement(composition(converse(X0),top))) != zero
| composition(X0,complement(composition(converse(X0),top))) = zero ),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_0_61,refute_0_808]) ).
cnf(refute_0_810,plain,
composition(X0,complement(composition(converse(X0),top))) = zero,
inference(resolve,[$cnf( $equal(composition(converse(converse(X0)),complement(composition(converse(X0),top))),zero) )],[refute_0_807,refute_0_809]) ).
cnf(refute_0_811,plain,
converse(composition(top,X1)) = composition(converse(X1),converse(top)),
inference(subst,[],[refute_0_788:[bind(X0,$fot(top))]]) ).
cnf(refute_0_812,plain,
( converse(composition(top,X1)) != composition(converse(X1),converse(top))
| converse(top) != top
| converse(composition(top,X1)) = composition(converse(X1),top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,X1)),composition(converse(X1),converse(top))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_813,plain,
( converse(composition(top,X1)) != composition(converse(X1),converse(top))
| converse(composition(top,X1)) = composition(converse(X1),top) ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_467,refute_0_812]) ).
cnf(refute_0_814,plain,
converse(composition(top,X1)) = composition(converse(X1),top),
inference(resolve,[$cnf( $equal(converse(composition(top,X1)),composition(converse(X1),converse(top))) )],[refute_0_811,refute_0_813]) ).
cnf(refute_0_815,plain,
( converse(composition(top,X1)) != composition(converse(X1),top)
| composition(converse(X1),top) = converse(composition(top,X1)) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(converse(composition(top,X1)))),bind(Y,$fot(composition(converse(X1),top)))]]) ).
cnf(refute_0_816,plain,
composition(converse(X1),top) = converse(composition(top,X1)),
inference(resolve,[$cnf( $equal(converse(composition(top,X1)),composition(converse(X1),top)) )],[refute_0_814,refute_0_815]) ).
cnf(refute_0_817,plain,
composition(converse(X0),top) = converse(composition(top,X0)),
inference(subst,[],[refute_0_816:[bind(X1,$fot(X0))]]) ).
cnf(refute_0_818,plain,
complement(composition(converse(X0),top)) = complement(composition(converse(X0),top)),
introduced(tautology,[refl,[$fot(complement(composition(converse(X0),top)))]]) ).
cnf(refute_0_819,plain,
( complement(composition(converse(X0),top)) != complement(composition(converse(X0),top))
| composition(converse(X0),top) != converse(composition(top,X0))
| complement(composition(converse(X0),top)) = complement(converse(composition(top,X0))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(converse(X0),top)),complement(composition(converse(X0),top))) ),[1,0],$fot(converse(composition(top,X0)))]]) ).
cnf(refute_0_820,plain,
( composition(converse(X0),top) != converse(composition(top,X0))
| complement(composition(converse(X0),top)) = complement(converse(composition(top,X0))) ),
inference(resolve,[$cnf( $equal(complement(composition(converse(X0),top)),complement(composition(converse(X0),top))) )],[refute_0_818,refute_0_819]) ).
cnf(refute_0_821,plain,
complement(composition(converse(X0),top)) = complement(converse(composition(top,X0))),
inference(resolve,[$cnf( $equal(composition(converse(X0),top),converse(composition(top,X0))) )],[refute_0_817,refute_0_820]) ).
cnf(refute_0_822,plain,
composition(X0,complement(composition(converse(X0),top))) = composition(X0,complement(composition(converse(X0),top))),
introduced(tautology,[refl,[$fot(composition(X0,complement(composition(converse(X0),top))))]]) ).
cnf(refute_0_823,plain,
( complement(composition(converse(X0),top)) != complement(converse(composition(top,X0)))
| composition(X0,complement(composition(converse(X0),top))) != composition(X0,complement(composition(converse(X0),top)))
| composition(X0,complement(composition(converse(X0),top))) = composition(X0,complement(converse(composition(top,X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(X0,complement(composition(converse(X0),top))),composition(X0,complement(composition(converse(X0),top)))) ),[1,1],$fot(complement(converse(composition(top,X0))))]]) ).
cnf(refute_0_824,plain,
( complement(composition(converse(X0),top)) != complement(converse(composition(top,X0)))
| composition(X0,complement(composition(converse(X0),top))) = composition(X0,complement(converse(composition(top,X0)))) ),
inference(resolve,[$cnf( $equal(composition(X0,complement(composition(converse(X0),top))),composition(X0,complement(composition(converse(X0),top)))) )],[refute_0_822,refute_0_823]) ).
cnf(refute_0_825,plain,
composition(X0,complement(composition(converse(X0),top))) = composition(X0,complement(converse(composition(top,X0)))),
inference(resolve,[$cnf( $equal(complement(composition(converse(X0),top)),complement(converse(composition(top,X0)))) )],[refute_0_821,refute_0_824]) ).
cnf(refute_0_826,plain,
( composition(X0,complement(composition(converse(X0),top))) != composition(X0,complement(converse(composition(top,X0))))
| composition(X0,complement(composition(converse(X0),top))) != zero
| composition(X0,complement(converse(composition(top,X0)))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(composition(X0,complement(composition(converse(X0),top))),zero) ),[0],$fot(composition(X0,complement(converse(composition(top,X0)))))]]) ).
cnf(refute_0_827,plain,
( composition(X0,complement(composition(converse(X0),top))) != zero
| composition(X0,complement(converse(composition(top,X0)))) = zero ),
inference(resolve,[$cnf( $equal(composition(X0,complement(composition(converse(X0),top))),composition(X0,complement(converse(composition(top,X0))))) )],[refute_0_825,refute_0_826]) ).
cnf(refute_0_828,plain,
composition(X0,complement(converse(composition(top,X0)))) = zero,
inference(resolve,[$cnf( $equal(composition(X0,complement(composition(converse(X0),top))),zero) )],[refute_0_810,refute_0_827]) ).
cnf(refute_0_829,plain,
composition(composition(zero,complement(composition(zero,composition(top,top)))),complement(converse(composition(top,composition(zero,complement(composition(zero,composition(top,top)))))))) = zero,
inference(subst,[],[refute_0_828:[bind(X0,$fot(composition(zero,complement(composition(zero,composition(top,top))))))]]) ).
cnf(refute_0_830,plain,
composition(converse(composition(zero,top)),complement(composition(composition(zero,top),top))) = zero,
inference(subst,[],[refute_0_806:[bind(X_70,$fot(composition(zero,top)))]]) ).
cnf(refute_0_831,plain,
converse(converse(composition(top,zero))) = composition(top,zero),
inference(subst,[],[refute_0_61:[bind(X0,$fot(composition(top,zero)))]]) ).
cnf(refute_0_832,plain,
converse(composition(top,zero)) = composition(converse(zero),top),
inference(subst,[],[refute_0_814:[bind(X1,$fot(zero))]]) ).
cnf(refute_0_833,plain,
converse(zero) = join(zero,meet(converse(zero),join(zero,complement(complement(converse(zero)))))),
inference(subst,[],[refute_0_646:[bind(X_29,$fot(converse(zero)))]]) ).
cnf(refute_0_834,plain,
converse(converse(complement(converse(zero)))) = complement(converse(zero)),
inference(subst,[],[refute_0_61:[bind(X0,$fot(complement(converse(zero))))]]) ).
cnf(refute_0_835,plain,
converse(complement(converse(zero))) = join(zero,meet(converse(complement(converse(zero))),join(zero,meet(top,converse(complement(converse(zero))))))),
inference(subst,[],[refute_0_163:[bind(X_34,$fot(converse(complement(converse(zero)))))]]) ).
cnf(refute_0_836,plain,
top = join(meet(top,X_30),complement(join(complement(top),X_30))),
inference(subst,[],[refute_0_27:[bind(X0,$fot(top)),bind(X1,$fot(X_30))]]) ).
cnf(refute_0_837,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_838,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( $equal(complement(top),zero) )],[refute_0_109,refute_0_837]) ).
cnf(refute_0_839,plain,
top = join(meet(top,X_30),complement(join(zero,X_30))),
inference(resolve,[$cnf( $equal(top,join(meet(top,X_30),complement(join(complement(top),X_30)))) )],[refute_0_836,refute_0_838]) ).
cnf(refute_0_840,plain,
top = join(meet(top,converse(complement(converse(zero)))),complement(join(zero,converse(complement(converse(zero)))))),
inference(subst,[],[refute_0_839:[bind(X_30,$fot(converse(complement(converse(zero)))))]]) ).
cnf(refute_0_841,plain,
converse(top) = join(zero,converse(complement(converse(zero)))),
inference(subst,[],[refute_0_72:[bind(X_16,$fot(zero))]]) ).
cnf(refute_0_842,plain,
( converse(top) != join(zero,converse(complement(converse(zero))))
| join(zero,converse(complement(converse(zero)))) = converse(top) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(converse(top))),bind(Y,$fot(join(zero,converse(complement(converse(zero))))))]]) ).
cnf(refute_0_843,plain,
join(zero,converse(complement(converse(zero)))) = converse(top),
inference(resolve,[$cnf( $equal(converse(top),join(zero,converse(complement(converse(zero))))) )],[refute_0_841,refute_0_842]) ).
cnf(refute_0_844,plain,
( join(zero,converse(complement(converse(zero)))) != converse(top)
| top != join(meet(top,converse(complement(converse(zero)))),complement(join(zero,converse(complement(converse(zero))))))
| top = join(meet(top,converse(complement(converse(zero)))),complement(converse(top))) ),
introduced(tautology,[equality,[$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_845,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( $equal(join(zero,converse(complement(converse(zero)))),converse(top)) )],[refute_0_843,refute_0_844]) ).
cnf(refute_0_846,plain,
top = join(meet(top,converse(complement(converse(zero)))),complement(converse(top))),
inference(resolve,[$cnf( $equal(top,join(meet(top,converse(complement(converse(zero)))),complement(join(zero,converse(complement(converse(zero))))))) )],[refute_0_840,refute_0_845]) ).
cnf(refute_0_847,plain,
join(meet(top,converse(complement(converse(zero)))),complement(converse(top))) = join(complement(converse(top)),meet(top,converse(complement(converse(zero))))),
inference(subst,[],[refute_0_7:[bind(X0,$fot(complement(converse(top)))),bind(X1,$fot(meet(top,converse(complement(converse(zero))))))]]) ).
cnf(refute_0_848,plain,
( join(meet(top,converse(complement(converse(zero)))),complement(converse(top))) != join(complement(converse(top)),meet(top,converse(complement(converse(zero)))))
| top != join(meet(top,converse(complement(converse(zero)))),complement(converse(top)))
| top = join(complement(converse(top)),meet(top,converse(complement(converse(zero))))) ),
introduced(tautology,[equality,[$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_849,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( $equal(join(meet(top,converse(complement(converse(zero)))),complement(converse(top))),join(complement(converse(top)),meet(top,converse(complement(converse(zero)))))) )],[refute_0_847,refute_0_848]) ).
cnf(refute_0_850,plain,
top = join(complement(converse(top)),meet(top,converse(complement(converse(zero))))),
inference(resolve,[$cnf( $equal(top,join(meet(top,converse(complement(converse(zero)))),complement(converse(top)))) )],[refute_0_846,refute_0_849]) ).
cnf(refute_0_851,plain,
join(complement(converse(top)),meet(top,converse(complement(converse(zero))))) = join(complement(converse(top)),meet(top,converse(complement(converse(zero))))),
introduced(tautology,[refl,[$fot(join(complement(converse(top)),meet(top,converse(complement(converse(zero))))))]]) ).
cnf(refute_0_852,plain,
( complement(converse(top)) != zero
| join(complement(converse(top)),meet(top,converse(complement(converse(zero))))) != join(complement(converse(top)),meet(top,converse(complement(converse(zero)))))
| join(complement(converse(top)),meet(top,converse(complement(converse(zero))))) = join(zero,meet(top,converse(complement(converse(zero))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(top)),meet(top,converse(complement(converse(zero))))),join(complement(converse(top)),meet(top,converse(complement(converse(zero)))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_853,plain,
( complement(converse(top)) != zero
| join(complement(converse(top)),meet(top,converse(complement(converse(zero))))) = join(zero,meet(top,converse(complement(converse(zero))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),meet(top,converse(complement(converse(zero))))),join(complement(converse(top)),meet(top,converse(complement(converse(zero)))))) )],[refute_0_851,refute_0_852]) ).
cnf(refute_0_854,plain,
join(complement(converse(top)),meet(top,converse(complement(converse(zero))))) = join(zero,meet(top,converse(complement(converse(zero))))),
inference(resolve,[$cnf( $equal(complement(converse(top)),zero) )],[refute_0_474,refute_0_853]) ).
cnf(refute_0_855,plain,
( join(complement(converse(top)),meet(top,converse(complement(converse(zero))))) != join(zero,meet(top,converse(complement(converse(zero)))))
| top != join(complement(converse(top)),meet(top,converse(complement(converse(zero)))))
| top = join(zero,meet(top,converse(complement(converse(zero))))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(converse(top)),meet(top,converse(complement(converse(zero)))))) ),[1],$fot(join(zero,meet(top,converse(complement(converse(zero))))))]]) ).
cnf(refute_0_856,plain,
( top != join(complement(converse(top)),meet(top,converse(complement(converse(zero)))))
| top = join(zero,meet(top,converse(complement(converse(zero))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(top)),meet(top,converse(complement(converse(zero))))),join(zero,meet(top,converse(complement(converse(zero)))))) )],[refute_0_854,refute_0_855]) ).
cnf(refute_0_857,plain,
top = join(zero,meet(top,converse(complement(converse(zero))))),
inference(resolve,[$cnf( $equal(top,join(complement(converse(top)),meet(top,converse(complement(converse(zero)))))) )],[refute_0_850,refute_0_856]) ).
cnf(refute_0_858,plain,
( top != join(zero,meet(top,converse(complement(converse(zero)))))
| join(zero,meet(top,converse(complement(converse(zero))))) = top ),
inference(subst,[],[refute_0_5:[bind(X,$fot(top)),bind(Y,$fot(join(zero,meet(top,converse(complement(converse(zero)))))))]]) ).
cnf(refute_0_859,plain,
join(zero,meet(top,converse(complement(converse(zero))))) = top,
inference(resolve,[$cnf( $equal(top,join(zero,meet(top,converse(complement(converse(zero)))))) )],[refute_0_857,refute_0_858]) ).
cnf(refute_0_860,plain,
( converse(complement(converse(zero))) != join(zero,meet(converse(complement(converse(zero))),join(zero,meet(top,converse(complement(converse(zero)))))))
| join(zero,meet(top,converse(complement(converse(zero))))) != top
| converse(complement(converse(zero))) = join(zero,meet(converse(complement(converse(zero))),top)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(zero))),join(zero,meet(converse(complement(converse(zero))),join(zero,meet(top,converse(complement(converse(zero)))))))) ),[1,1,1],$fot(top)]]) ).
cnf(refute_0_861,plain,
( converse(complement(converse(zero))) != join(zero,meet(converse(complement(converse(zero))),join(zero,meet(top,converse(complement(converse(zero)))))))
| converse(complement(converse(zero))) = join(zero,meet(converse(complement(converse(zero))),top)) ),
inference(resolve,[$cnf( $equal(join(zero,meet(top,converse(complement(converse(zero))))),top) )],[refute_0_859,refute_0_860]) ).
cnf(refute_0_862,plain,
converse(complement(converse(zero))) = join(zero,meet(converse(complement(converse(zero))),top)),
inference(resolve,[$cnf( $equal(converse(complement(converse(zero))),join(zero,meet(converse(complement(converse(zero))),join(zero,meet(top,converse(complement(converse(zero)))))))) )],[refute_0_835,refute_0_861]) ).
cnf(refute_0_863,plain,
meet(converse(complement(converse(zero))),top) = meet(top,converse(complement(converse(zero)))),
inference(subst,[],[refute_0_225:[bind(X0,$fot(converse(complement(converse(zero)))))]]) ).
cnf(refute_0_864,plain,
join(zero,meet(converse(complement(converse(zero))),top)) = join(zero,meet(converse(complement(converse(zero))),top)),
introduced(tautology,[refl,[$fot(join(zero,meet(converse(complement(converse(zero))),top)))]]) ).
cnf(refute_0_865,plain,
( join(zero,meet(converse(complement(converse(zero))),top)) != join(zero,meet(converse(complement(converse(zero))),top))
| meet(converse(complement(converse(zero))),top) != meet(top,converse(complement(converse(zero))))
| join(zero,meet(converse(complement(converse(zero))),top)) = join(zero,meet(top,converse(complement(converse(zero))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(converse(complement(converse(zero))),top)),join(zero,meet(converse(complement(converse(zero))),top))) ),[1,1],$fot(meet(top,converse(complement(converse(zero)))))]]) ).
cnf(refute_0_866,plain,
( meet(converse(complement(converse(zero))),top) != meet(top,converse(complement(converse(zero))))
| join(zero,meet(converse(complement(converse(zero))),top)) = join(zero,meet(top,converse(complement(converse(zero))))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(converse(complement(converse(zero))),top)),join(zero,meet(converse(complement(converse(zero))),top))) )],[refute_0_864,refute_0_865]) ).
cnf(refute_0_867,plain,
join(zero,meet(converse(complement(converse(zero))),top)) = join(zero,meet(top,converse(complement(converse(zero))))),
inference(resolve,[$cnf( $equal(meet(converse(complement(converse(zero))),top),meet(top,converse(complement(converse(zero))))) )],[refute_0_863,refute_0_866]) ).
cnf(refute_0_868,plain,
( join(zero,meet(converse(complement(converse(zero))),top)) != join(zero,meet(top,converse(complement(converse(zero)))))
| join(zero,meet(top,converse(complement(converse(zero))))) != top
| join(zero,meet(converse(complement(converse(zero))),top)) = top ),
inference(subst,[],[refute_0_21:[bind(X,$fot(join(zero,meet(converse(complement(converse(zero))),top)))),bind(Y,$fot(join(zero,meet(top,converse(complement(converse(zero))))))),bind(Z,$fot(top))]]) ).
cnf(refute_0_869,plain,
( join(zero,meet(top,converse(complement(converse(zero))))) != top
| join(zero,meet(converse(complement(converse(zero))),top)) = top ),
inference(resolve,[$cnf( $equal(join(zero,meet(converse(complement(converse(zero))),top)),join(zero,meet(top,converse(complement(converse(zero)))))) )],[refute_0_867,refute_0_868]) ).
cnf(refute_0_870,plain,
join(zero,meet(converse(complement(converse(zero))),top)) = top,
inference(resolve,[$cnf( $equal(join(zero,meet(top,converse(complement(converse(zero))))),top) )],[refute_0_859,refute_0_869]) ).
cnf(refute_0_871,plain,
( converse(complement(converse(zero))) != join(zero,meet(converse(complement(converse(zero))),top))
| join(zero,meet(converse(complement(converse(zero))),top)) != top
| converse(complement(converse(zero))) = top ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(complement(converse(zero))),top) ),[0],$fot(join(zero,meet(converse(complement(converse(zero))),top)))]]) ).
cnf(refute_0_872,plain,
( converse(complement(converse(zero))) != join(zero,meet(converse(complement(converse(zero))),top))
| converse(complement(converse(zero))) = top ),
inference(resolve,[$cnf( $equal(join(zero,meet(converse(complement(converse(zero))),top)),top) )],[refute_0_870,refute_0_871]) ).
cnf(refute_0_873,plain,
converse(complement(converse(zero))) = top,
inference(resolve,[$cnf( $equal(converse(complement(converse(zero))),join(zero,meet(converse(complement(converse(zero))),top))) )],[refute_0_862,refute_0_872]) ).
cnf(refute_0_874,plain,
( converse(complement(converse(zero))) != top
| converse(converse(complement(converse(zero)))) != complement(converse(zero))
| converse(top) = complement(converse(zero)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(complement(converse(zero)))),complement(converse(zero))) ),[0,0],$fot(top)]]) ).
cnf(refute_0_875,plain,
( converse(converse(complement(converse(zero)))) != complement(converse(zero))
| converse(top) = complement(converse(zero)) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(zero))),top) )],[refute_0_873,refute_0_874]) ).
cnf(refute_0_876,plain,
converse(top) = complement(converse(zero)),
inference(resolve,[$cnf( $equal(converse(converse(complement(converse(zero)))),complement(converse(zero))) )],[refute_0_834,refute_0_875]) ).
cnf(refute_0_877,plain,
( converse(top) != complement(converse(zero))
| converse(top) != top
| top = complement(converse(zero)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(top),complement(converse(zero))) ),[0],$fot(top)]]) ).
cnf(refute_0_878,plain,
( converse(top) != complement(converse(zero))
| top = complement(converse(zero)) ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_467,refute_0_877]) ).
cnf(refute_0_879,plain,
top = complement(converse(zero)),
inference(resolve,[$cnf( $equal(converse(top),complement(converse(zero))) )],[refute_0_876,refute_0_878]) ).
cnf(refute_0_880,plain,
( top != complement(converse(zero))
| complement(converse(zero)) = top ),
inference(subst,[],[refute_0_5:[bind(X,$fot(top)),bind(Y,$fot(complement(converse(zero))))]]) ).
cnf(refute_0_881,plain,
complement(converse(zero)) = top,
inference(resolve,[$cnf( $equal(top,complement(converse(zero))) )],[refute_0_879,refute_0_880]) ).
cnf(refute_0_882,plain,
( complement(converse(zero)) != top
| converse(zero) != join(zero,meet(converse(zero),join(zero,complement(complement(converse(zero))))))
| converse(zero) = join(zero,meet(converse(zero),join(zero,complement(top)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(zero),join(zero,meet(converse(zero),join(zero,complement(complement(converse(zero))))))) ),[1,1,1,1,0],$fot(top)]]) ).
cnf(refute_0_883,plain,
( converse(zero) != join(zero,meet(converse(zero),join(zero,complement(complement(converse(zero))))))
| converse(zero) = join(zero,meet(converse(zero),join(zero,complement(top)))) ),
inference(resolve,[$cnf( $equal(complement(converse(zero)),top) )],[refute_0_881,refute_0_882]) ).
cnf(refute_0_884,plain,
converse(zero) = join(zero,meet(converse(zero),join(zero,complement(top)))),
inference(resolve,[$cnf( $equal(converse(zero),join(zero,meet(converse(zero),join(zero,complement(complement(converse(zero))))))) )],[refute_0_833,refute_0_883]) ).
cnf(refute_0_885,plain,
meet(zero,converse(zero)) = complement(join(top,complement(converse(zero)))),
inference(subst,[],[refute_0_243:[bind(X1,$fot(converse(zero)))]]) ).
cnf(refute_0_886,plain,
( complement(converse(zero)) != top
| meet(zero,converse(zero)) != complement(join(top,complement(converse(zero))))
| meet(zero,converse(zero)) = complement(join(top,top)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(zero,converse(zero)),complement(join(top,complement(converse(zero))))) ),[1,0,1],$fot(top)]]) ).
cnf(refute_0_887,plain,
( meet(zero,converse(zero)) != complement(join(top,complement(converse(zero))))
| meet(zero,converse(zero)) = complement(join(top,top)) ),
inference(resolve,[$cnf( $equal(complement(converse(zero)),top) )],[refute_0_881,refute_0_886]) ).
cnf(refute_0_888,plain,
meet(zero,converse(zero)) = complement(join(top,top)),
inference(resolve,[$cnf( $equal(meet(zero,converse(zero)),complement(join(top,complement(converse(zero))))) )],[refute_0_885,refute_0_887]) ).
cnf(refute_0_889,plain,
complement(join(top,top)) = complement(join(top,top)),
introduced(tautology,[refl,[$fot(complement(join(top,top)))]]) ).
cnf(refute_0_890,plain,
( complement(join(top,top)) != complement(join(top,top))
| join(top,top) != top
| complement(join(top,top)) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(top,top)),complement(join(top,top))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_891,plain,
( join(top,top) != top
| complement(join(top,top)) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(join(top,top)),complement(join(top,top))) )],[refute_0_889,refute_0_890]) ).
cnf(refute_0_892,plain,
complement(join(top,top)) = complement(top),
inference(resolve,[$cnf( $equal(join(top,top),top) )],[refute_0_343,refute_0_891]) ).
cnf(refute_0_893,plain,
( complement(join(top,top)) != complement(top)
| complement(top) != zero
| complement(join(top,top)) = zero ),
inference(subst,[],[refute_0_21:[bind(X,$fot(complement(join(top,top)))),bind(Y,$fot(complement(top))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_894,plain,
( complement(top) != zero
| complement(join(top,top)) = zero ),
inference(resolve,[$cnf( $equal(complement(join(top,top)),complement(top)) )],[refute_0_892,refute_0_893]) ).
cnf(refute_0_895,plain,
complement(join(top,top)) = zero,
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_109,refute_0_894]) ).
cnf(refute_0_896,plain,
( complement(join(top,top)) != zero
| meet(zero,converse(zero)) != complement(join(top,top))
| meet(zero,converse(zero)) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(zero,converse(zero)),complement(join(top,top))) ),[1],$fot(zero)]]) ).
cnf(refute_0_897,plain,
( meet(zero,converse(zero)) != complement(join(top,top))
| meet(zero,converse(zero)) = zero ),
inference(resolve,[$cnf( $equal(complement(join(top,top)),zero) )],[refute_0_895,refute_0_896]) ).
cnf(refute_0_898,plain,
meet(zero,converse(zero)) = zero,
inference(resolve,[$cnf( $equal(meet(zero,converse(zero)),complement(join(top,top))) )],[refute_0_888,refute_0_897]) ).
cnf(refute_0_899,plain,
meet(converse(zero),zero) = meet(zero,converse(zero)),
inference(subst,[],[refute_0_517:[bind(X_19,$fot(zero)),bind(X_20,$fot(converse(zero)))]]) ).
cnf(refute_0_900,plain,
( meet(converse(zero),zero) != meet(zero,converse(zero))
| meet(zero,converse(zero)) != zero
| meet(converse(zero),zero) = zero ),
inference(subst,[],[refute_0_21:[bind(X,$fot(meet(converse(zero),zero))),bind(Y,$fot(meet(zero,converse(zero)))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_901,plain,
( meet(zero,converse(zero)) != zero
| meet(converse(zero),zero) = zero ),
inference(resolve,[$cnf( $equal(meet(converse(zero),zero),meet(zero,converse(zero))) )],[refute_0_899,refute_0_900]) ).
cnf(refute_0_902,plain,
meet(converse(zero),zero) = zero,
inference(resolve,[$cnf( $equal(meet(zero,converse(zero)),zero) )],[refute_0_898,refute_0_901]) ).
cnf(refute_0_903,plain,
join(zero,complement(top)) = join(zero,complement(top)),
introduced(tautology,[refl,[$fot(join(zero,complement(top)))]]) ).
cnf(refute_0_904,plain,
( complement(top) != zero
| join(zero,complement(top)) != join(zero,complement(top))
| join(zero,complement(top)) = join(zero,zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,complement(top)),join(zero,complement(top))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_905,plain,
( complement(top) != zero
| join(zero,complement(top)) = join(zero,zero) ),
inference(resolve,[$cnf( $equal(join(zero,complement(top)),join(zero,complement(top))) )],[refute_0_903,refute_0_904]) ).
cnf(refute_0_906,plain,
join(zero,complement(top)) = join(zero,zero),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_109,refute_0_905]) ).
cnf(refute_0_907,plain,
( join(zero,complement(top)) != join(zero,zero)
| join(zero,zero) != zero
| join(zero,complement(top)) = zero ),
inference(subst,[],[refute_0_21:[bind(X,$fot(join(zero,complement(top)))),bind(Y,$fot(join(zero,zero))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_908,plain,
( join(zero,zero) != zero
| join(zero,complement(top)) = zero ),
inference(resolve,[$cnf( $equal(join(zero,complement(top)),join(zero,zero)) )],[refute_0_906,refute_0_907]) ).
cnf(refute_0_909,plain,
join(zero,complement(top)) = zero,
inference(resolve,[$cnf( $equal(join(zero,zero),zero) )],[refute_0_549,refute_0_908]) ).
cnf(refute_0_910,plain,
meet(converse(zero),join(zero,complement(top))) = meet(converse(zero),join(zero,complement(top))),
introduced(tautology,[refl,[$fot(meet(converse(zero),join(zero,complement(top))))]]) ).
cnf(refute_0_911,plain,
( join(zero,complement(top)) != zero
| meet(converse(zero),join(zero,complement(top))) != meet(converse(zero),join(zero,complement(top)))
| meet(converse(zero),join(zero,complement(top))) = meet(converse(zero),zero) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(zero),join(zero,complement(top))),meet(converse(zero),join(zero,complement(top)))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_912,plain,
( join(zero,complement(top)) != zero
| meet(converse(zero),join(zero,complement(top))) = meet(converse(zero),zero) ),
inference(resolve,[$cnf( $equal(meet(converse(zero),join(zero,complement(top))),meet(converse(zero),join(zero,complement(top)))) )],[refute_0_910,refute_0_911]) ).
cnf(refute_0_913,plain,
meet(converse(zero),join(zero,complement(top))) = meet(converse(zero),zero),
inference(resolve,[$cnf( $equal(join(zero,complement(top)),zero) )],[refute_0_909,refute_0_912]) ).
cnf(refute_0_914,plain,
( meet(converse(zero),join(zero,complement(top))) != meet(converse(zero),zero)
| meet(converse(zero),zero) != zero
| meet(converse(zero),join(zero,complement(top))) = zero ),
inference(subst,[],[refute_0_21:[bind(X,$fot(meet(converse(zero),join(zero,complement(top))))),bind(Y,$fot(meet(converse(zero),zero))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_915,plain,
( meet(converse(zero),zero) != zero
| meet(converse(zero),join(zero,complement(top))) = zero ),
inference(resolve,[$cnf( $equal(meet(converse(zero),join(zero,complement(top))),meet(converse(zero),zero)) )],[refute_0_913,refute_0_914]) ).
cnf(refute_0_916,plain,
meet(converse(zero),join(zero,complement(top))) = zero,
inference(resolve,[$cnf( $equal(meet(converse(zero),zero),zero) )],[refute_0_902,refute_0_915]) ).
cnf(refute_0_917,plain,
join(zero,meet(converse(zero),join(zero,complement(top)))) = join(zero,meet(converse(zero),join(zero,complement(top)))),
introduced(tautology,[refl,[$fot(join(zero,meet(converse(zero),join(zero,complement(top)))))]]) ).
cnf(refute_0_918,plain,
( join(zero,meet(converse(zero),join(zero,complement(top)))) != join(zero,meet(converse(zero),join(zero,complement(top))))
| meet(converse(zero),join(zero,complement(top))) != zero
| join(zero,meet(converse(zero),join(zero,complement(top)))) = join(zero,zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(converse(zero),join(zero,complement(top)))),join(zero,meet(converse(zero),join(zero,complement(top))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_919,plain,
( meet(converse(zero),join(zero,complement(top))) != zero
| join(zero,meet(converse(zero),join(zero,complement(top)))) = join(zero,zero) ),
inference(resolve,[$cnf( $equal(join(zero,meet(converse(zero),join(zero,complement(top)))),join(zero,meet(converse(zero),join(zero,complement(top))))) )],[refute_0_917,refute_0_918]) ).
cnf(refute_0_920,plain,
join(zero,meet(converse(zero),join(zero,complement(top)))) = join(zero,zero),
inference(resolve,[$cnf( $equal(meet(converse(zero),join(zero,complement(top))),zero) )],[refute_0_916,refute_0_919]) ).
cnf(refute_0_921,plain,
( join(zero,meet(converse(zero),join(zero,complement(top)))) != join(zero,zero)
| join(zero,zero) != zero
| join(zero,meet(converse(zero),join(zero,complement(top)))) = zero ),
inference(subst,[],[refute_0_21:[bind(X,$fot(join(zero,meet(converse(zero),join(zero,complement(top)))))),bind(Y,$fot(join(zero,zero))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_922,plain,
( join(zero,zero) != zero
| join(zero,meet(converse(zero),join(zero,complement(top)))) = zero ),
inference(resolve,[$cnf( $equal(join(zero,meet(converse(zero),join(zero,complement(top)))),join(zero,zero)) )],[refute_0_920,refute_0_921]) ).
cnf(refute_0_923,plain,
join(zero,meet(converse(zero),join(zero,complement(top)))) = zero,
inference(resolve,[$cnf( $equal(join(zero,zero),zero) )],[refute_0_549,refute_0_922]) ).
cnf(refute_0_924,plain,
( converse(zero) != join(zero,meet(converse(zero),join(zero,complement(top))))
| join(zero,meet(converse(zero),join(zero,complement(top)))) != zero
| converse(zero) = zero ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(zero),zero) ),[0],$fot(join(zero,meet(converse(zero),join(zero,complement(top)))))]]) ).
cnf(refute_0_925,plain,
( converse(zero) != join(zero,meet(converse(zero),join(zero,complement(top))))
| converse(zero) = zero ),
inference(resolve,[$cnf( $equal(join(zero,meet(converse(zero),join(zero,complement(top)))),zero) )],[refute_0_923,refute_0_924]) ).
cnf(refute_0_926,plain,
converse(zero) = zero,
inference(resolve,[$cnf( $equal(converse(zero),join(zero,meet(converse(zero),join(zero,complement(top))))) )],[refute_0_884,refute_0_925]) ).
cnf(refute_0_927,plain,
( converse(composition(top,zero)) != composition(converse(zero),top)
| converse(zero) != zero
| converse(composition(top,zero)) = composition(zero,top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,zero)),composition(converse(zero),top)) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_928,plain,
( converse(composition(top,zero)) != composition(converse(zero),top)
| converse(composition(top,zero)) = composition(zero,top) ),
inference(resolve,[$cnf( $equal(converse(zero),zero) )],[refute_0_926,refute_0_927]) ).
cnf(refute_0_929,plain,
converse(composition(top,zero)) = composition(zero,top),
inference(resolve,[$cnf( $equal(converse(composition(top,zero)),composition(converse(zero),top)) )],[refute_0_832,refute_0_928]) ).
cnf(refute_0_930,plain,
( converse(composition(top,zero)) != composition(zero,top)
| converse(converse(composition(top,zero))) != composition(top,zero)
| converse(composition(zero,top)) = composition(top,zero) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(composition(top,zero))),composition(top,zero)) ),[0,0],$fot(composition(zero,top))]]) ).
cnf(refute_0_931,plain,
( converse(converse(composition(top,zero))) != composition(top,zero)
| converse(composition(zero,top)) = composition(top,zero) ),
inference(resolve,[$cnf( $equal(converse(composition(top,zero)),composition(zero,top)) )],[refute_0_929,refute_0_930]) ).
cnf(refute_0_932,plain,
converse(composition(zero,top)) = composition(top,zero),
inference(resolve,[$cnf( $equal(converse(converse(composition(top,zero))),composition(top,zero)) )],[refute_0_831,refute_0_931]) ).
cnf(refute_0_933,plain,
( composition(converse(composition(zero,top)),complement(composition(composition(zero,top),top))) != zero
| converse(composition(zero,top)) != composition(top,zero)
| composition(composition(top,zero),complement(composition(composition(zero,top),top))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(composition(zero,top)),complement(composition(composition(zero,top),top))),zero) ),[0,0],$fot(composition(top,zero))]]) ).
cnf(refute_0_934,plain,
( composition(converse(composition(zero,top)),complement(composition(composition(zero,top),top))) != zero
| composition(composition(top,zero),complement(composition(composition(zero,top),top))) = zero ),
inference(resolve,[$cnf( $equal(converse(composition(zero,top)),composition(top,zero)) )],[refute_0_932,refute_0_933]) ).
cnf(refute_0_935,plain,
composition(composition(top,zero),complement(composition(composition(zero,top),top))) = zero,
inference(resolve,[$cnf( $equal(composition(converse(composition(zero,top)),complement(composition(composition(zero,top),top))),zero) )],[refute_0_830,refute_0_934]) ).
cnf(refute_0_936,plain,
( composition(X0,composition(X1,X2)) != composition(composition(X0,X1),X2)
| composition(composition(X0,X1),X2) = composition(X0,composition(X1,X2)) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(composition(X0,composition(X1,X2)))),bind(Y,$fot(composition(composition(X0,X1),X2)))]]) ).
cnf(refute_0_937,plain,
composition(composition(X0,X1),X2) = composition(X0,composition(X1,X2)),
inference(resolve,[$cnf( $equal(composition(X0,composition(X1,X2)),composition(composition(X0,X1),X2)) )],[refute_0_786,refute_0_936]) ).
cnf(refute_0_938,plain,
composition(composition(zero,top),top) = composition(zero,composition(top,top)),
inference(subst,[],[refute_0_937:[bind(X0,$fot(zero)),bind(X1,$fot(top)),bind(X2,$fot(top))]]) ).
cnf(refute_0_939,plain,
complement(composition(composition(zero,top),top)) = complement(composition(composition(zero,top),top)),
introduced(tautology,[refl,[$fot(complement(composition(composition(zero,top),top)))]]) ).
cnf(refute_0_940,plain,
( complement(composition(composition(zero,top),top)) != complement(composition(composition(zero,top),top))
| composition(composition(zero,top),top) != composition(zero,composition(top,top))
| complement(composition(composition(zero,top),top)) = complement(composition(zero,composition(top,top))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(composition(zero,top),top)),complement(composition(composition(zero,top),top))) ),[1,0],$fot(composition(zero,composition(top,top)))]]) ).
cnf(refute_0_941,plain,
( composition(composition(zero,top),top) != composition(zero,composition(top,top))
| complement(composition(composition(zero,top),top)) = complement(composition(zero,composition(top,top))) ),
inference(resolve,[$cnf( $equal(complement(composition(composition(zero,top),top)),complement(composition(composition(zero,top),top))) )],[refute_0_939,refute_0_940]) ).
cnf(refute_0_942,plain,
complement(composition(composition(zero,top),top)) = complement(composition(zero,composition(top,top))),
inference(resolve,[$cnf( $equal(composition(composition(zero,top),top),composition(zero,composition(top,top))) )],[refute_0_938,refute_0_941]) ).
cnf(refute_0_943,plain,
composition(zero,complement(composition(composition(zero,top),top))) = composition(zero,complement(composition(composition(zero,top),top))),
introduced(tautology,[refl,[$fot(composition(zero,complement(composition(composition(zero,top),top))))]]) ).
cnf(refute_0_944,plain,
( complement(composition(composition(zero,top),top)) != complement(composition(zero,composition(top,top)))
| composition(zero,complement(composition(composition(zero,top),top))) != composition(zero,complement(composition(composition(zero,top),top)))
| composition(zero,complement(composition(composition(zero,top),top))) = composition(zero,complement(composition(zero,composition(top,top)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(zero,complement(composition(composition(zero,top),top))),composition(zero,complement(composition(composition(zero,top),top)))) ),[1,1],$fot(complement(composition(zero,composition(top,top))))]]) ).
cnf(refute_0_945,plain,
( complement(composition(composition(zero,top),top)) != complement(composition(zero,composition(top,top)))
| composition(zero,complement(composition(composition(zero,top),top))) = composition(zero,complement(composition(zero,composition(top,top)))) ),
inference(resolve,[$cnf( $equal(composition(zero,complement(composition(composition(zero,top),top))),composition(zero,complement(composition(composition(zero,top),top)))) )],[refute_0_943,refute_0_944]) ).
cnf(refute_0_946,plain,
composition(zero,complement(composition(composition(zero,top),top))) = composition(zero,complement(composition(zero,composition(top,top)))),
inference(resolve,[$cnf( $equal(complement(composition(composition(zero,top),top)),complement(composition(zero,composition(top,top)))) )],[refute_0_942,refute_0_945]) ).
cnf(refute_0_947,plain,
composition(top,composition(zero,complement(composition(composition(zero,top),top)))) = composition(top,composition(zero,complement(composition(composition(zero,top),top)))),
introduced(tautology,[refl,[$fot(composition(top,composition(zero,complement(composition(composition(zero,top),top)))))]]) ).
cnf(refute_0_948,plain,
( composition(top,composition(zero,complement(composition(composition(zero,top),top)))) != composition(top,composition(zero,complement(composition(composition(zero,top),top))))
| composition(zero,complement(composition(composition(zero,top),top))) != composition(zero,complement(composition(zero,composition(top,top))))
| composition(top,composition(zero,complement(composition(composition(zero,top),top)))) = composition(top,composition(zero,complement(composition(zero,composition(top,top))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,composition(zero,complement(composition(composition(zero,top),top)))),composition(top,composition(zero,complement(composition(composition(zero,top),top))))) ),[1,1],$fot(composition(zero,complement(composition(zero,composition(top,top)))))]]) ).
cnf(refute_0_949,plain,
( composition(zero,complement(composition(composition(zero,top),top))) != composition(zero,complement(composition(zero,composition(top,top))))
| composition(top,composition(zero,complement(composition(composition(zero,top),top)))) = composition(top,composition(zero,complement(composition(zero,composition(top,top))))) ),
inference(resolve,[$cnf( $equal(composition(top,composition(zero,complement(composition(composition(zero,top),top)))),composition(top,composition(zero,complement(composition(composition(zero,top),top))))) )],[refute_0_947,refute_0_948]) ).
cnf(refute_0_950,plain,
composition(top,composition(zero,complement(composition(composition(zero,top),top)))) = composition(top,composition(zero,complement(composition(zero,composition(top,top))))),
inference(resolve,[$cnf( $equal(composition(zero,complement(composition(composition(zero,top),top))),composition(zero,complement(composition(zero,composition(top,top))))) )],[refute_0_946,refute_0_949]) ).
cnf(refute_0_951,plain,
composition(composition(top,zero),complement(composition(composition(zero,top),top))) = composition(top,composition(zero,complement(composition(composition(zero,top),top)))),
inference(subst,[],[refute_0_937:[bind(X0,$fot(top)),bind(X1,$fot(zero)),bind(X2,$fot(complement(composition(composition(zero,top),top))))]]) ).
cnf(refute_0_952,plain,
( composition(composition(top,zero),complement(composition(composition(zero,top),top))) != composition(top,composition(zero,complement(composition(composition(zero,top),top))))
| composition(top,composition(zero,complement(composition(composition(zero,top),top)))) != composition(top,composition(zero,complement(composition(zero,composition(top,top)))))
| composition(composition(top,zero),complement(composition(composition(zero,top),top))) = composition(top,composition(zero,complement(composition(zero,composition(top,top))))) ),
inference(subst,[],[refute_0_21:[bind(X,$fot(composition(composition(top,zero),complement(composition(composition(zero,top),top))))),bind(Y,$fot(composition(top,composition(zero,complement(composition(composition(zero,top),top)))))),bind(Z,$fot(composition(top,composition(zero,complement(composition(zero,composition(top,top)))))))]]) ).
cnf(refute_0_953,plain,
( composition(top,composition(zero,complement(composition(composition(zero,top),top)))) != composition(top,composition(zero,complement(composition(zero,composition(top,top)))))
| composition(composition(top,zero),complement(composition(composition(zero,top),top))) = composition(top,composition(zero,complement(composition(zero,composition(top,top))))) ),
inference(resolve,[$cnf( $equal(composition(composition(top,zero),complement(composition(composition(zero,top),top))),composition(top,composition(zero,complement(composition(composition(zero,top),top))))) )],[refute_0_951,refute_0_952]) ).
cnf(refute_0_954,plain,
composition(composition(top,zero),complement(composition(composition(zero,top),top))) = composition(top,composition(zero,complement(composition(zero,composition(top,top))))),
inference(resolve,[$cnf( $equal(composition(top,composition(zero,complement(composition(composition(zero,top),top)))),composition(top,composition(zero,complement(composition(zero,composition(top,top)))))) )],[refute_0_950,refute_0_953]) ).
cnf(refute_0_955,plain,
( composition(composition(top,zero),complement(composition(composition(zero,top),top))) != composition(top,composition(zero,complement(composition(zero,composition(top,top)))))
| composition(composition(top,zero),complement(composition(composition(zero,top),top))) != zero
| composition(top,composition(zero,complement(composition(zero,composition(top,top))))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(composition(composition(top,zero),complement(composition(composition(zero,top),top))),zero) ),[0],$fot(composition(top,composition(zero,complement(composition(zero,composition(top,top))))))]]) ).
cnf(refute_0_956,plain,
( composition(composition(top,zero),complement(composition(composition(zero,top),top))) != zero
| composition(top,composition(zero,complement(composition(zero,composition(top,top))))) = zero ),
inference(resolve,[$cnf( $equal(composition(composition(top,zero),complement(composition(composition(zero,top),top))),composition(top,composition(zero,complement(composition(zero,composition(top,top)))))) )],[refute_0_954,refute_0_955]) ).
cnf(refute_0_957,plain,
composition(top,composition(zero,complement(composition(zero,composition(top,top))))) = zero,
inference(resolve,[$cnf( $equal(composition(composition(top,zero),complement(composition(composition(zero,top),top))),zero) )],[refute_0_935,refute_0_956]) ).
cnf(refute_0_958,plain,
( composition(composition(zero,complement(composition(zero,composition(top,top)))),complement(converse(composition(top,composition(zero,complement(composition(zero,composition(top,top)))))))) != zero
| composition(top,composition(zero,complement(composition(zero,composition(top,top))))) != zero
| composition(composition(zero,complement(composition(zero,composition(top,top)))),complement(converse(zero))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(composition(composition(zero,complement(composition(zero,composition(top,top)))),complement(converse(composition(top,composition(zero,complement(composition(zero,composition(top,top)))))))),zero) ),[0,1,0,0],$fot(zero)]]) ).
cnf(refute_0_959,plain,
( composition(composition(zero,complement(composition(zero,composition(top,top)))),complement(converse(composition(top,composition(zero,complement(composition(zero,composition(top,top)))))))) != zero
| composition(composition(zero,complement(composition(zero,composition(top,top)))),complement(converse(zero))) = zero ),
inference(resolve,[$cnf( $equal(composition(top,composition(zero,complement(composition(zero,composition(top,top))))),zero) )],[refute_0_957,refute_0_958]) ).
cnf(refute_0_960,plain,
composition(composition(zero,complement(composition(zero,composition(top,top)))),complement(converse(zero))) = zero,
inference(resolve,[$cnf( $equal(composition(composition(zero,complement(composition(zero,composition(top,top)))),complement(converse(composition(top,composition(zero,complement(composition(zero,composition(top,top)))))))),zero) )],[refute_0_829,refute_0_959]) ).
cnf(refute_0_961,plain,
composition(complement(composition(zero,composition(top,top))),complement(converse(zero))) = composition(complement(composition(zero,composition(top,top))),complement(converse(zero))),
introduced(tautology,[refl,[$fot(composition(complement(composition(zero,composition(top,top))),complement(converse(zero))))]]) ).
cnf(refute_0_962,plain,
( complement(converse(zero)) != top
| composition(complement(composition(zero,composition(top,top))),complement(converse(zero))) != composition(complement(composition(zero,composition(top,top))),complement(converse(zero)))
| composition(complement(composition(zero,composition(top,top))),complement(converse(zero))) = composition(complement(composition(zero,composition(top,top))),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(composition(zero,composition(top,top))),complement(converse(zero))),composition(complement(composition(zero,composition(top,top))),complement(converse(zero)))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_963,plain,
( complement(converse(zero)) != top
| composition(complement(composition(zero,composition(top,top))),complement(converse(zero))) = composition(complement(composition(zero,composition(top,top))),top) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(zero,composition(top,top))),complement(converse(zero))),composition(complement(composition(zero,composition(top,top))),complement(converse(zero)))) )],[refute_0_961,refute_0_962]) ).
cnf(refute_0_964,plain,
composition(complement(composition(zero,composition(top,top))),complement(converse(zero))) = composition(complement(composition(zero,composition(top,top))),top),
inference(resolve,[$cnf( $equal(complement(converse(zero)),top) )],[refute_0_881,refute_0_963]) ).
cnf(refute_0_965,plain,
composition(zero,composition(complement(composition(zero,composition(top,top))),complement(converse(zero)))) = composition(zero,composition(complement(composition(zero,composition(top,top))),complement(converse(zero)))),
introduced(tautology,[refl,[$fot(composition(zero,composition(complement(composition(zero,composition(top,top))),complement(converse(zero)))))]]) ).
cnf(refute_0_966,plain,
( composition(complement(composition(zero,composition(top,top))),complement(converse(zero))) != composition(complement(composition(zero,composition(top,top))),top)
| composition(zero,composition(complement(composition(zero,composition(top,top))),complement(converse(zero)))) != composition(zero,composition(complement(composition(zero,composition(top,top))),complement(converse(zero))))
| composition(zero,composition(complement(composition(zero,composition(top,top))),complement(converse(zero)))) = composition(zero,composition(complement(composition(zero,composition(top,top))),top)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(zero,composition(complement(composition(zero,composition(top,top))),complement(converse(zero)))),composition(zero,composition(complement(composition(zero,composition(top,top))),complement(converse(zero))))) ),[1,1],$fot(composition(complement(composition(zero,composition(top,top))),top))]]) ).
cnf(refute_0_967,plain,
( composition(complement(composition(zero,composition(top,top))),complement(converse(zero))) != composition(complement(composition(zero,composition(top,top))),top)
| composition(zero,composition(complement(composition(zero,composition(top,top))),complement(converse(zero)))) = composition(zero,composition(complement(composition(zero,composition(top,top))),top)) ),
inference(resolve,[$cnf( $equal(composition(zero,composition(complement(composition(zero,composition(top,top))),complement(converse(zero)))),composition(zero,composition(complement(composition(zero,composition(top,top))),complement(converse(zero))))) )],[refute_0_965,refute_0_966]) ).
cnf(refute_0_968,plain,
composition(zero,composition(complement(composition(zero,composition(top,top))),complement(converse(zero)))) = composition(zero,composition(complement(composition(zero,composition(top,top))),top)),
inference(resolve,[$cnf( $equal(composition(complement(composition(zero,composition(top,top))),complement(converse(zero))),composition(complement(composition(zero,composition(top,top))),top)) )],[refute_0_964,refute_0_967]) ).
cnf(refute_0_969,plain,
composition(composition(zero,complement(composition(zero,composition(top,top)))),complement(converse(zero))) = composition(zero,composition(complement(composition(zero,composition(top,top))),complement(converse(zero)))),
inference(subst,[],[refute_0_937:[bind(X0,$fot(zero)),bind(X1,$fot(complement(composition(zero,composition(top,top))))),bind(X2,$fot(complement(converse(zero))))]]) ).
cnf(refute_0_970,plain,
( composition(composition(zero,complement(composition(zero,composition(top,top)))),complement(converse(zero))) != composition(zero,composition(complement(composition(zero,composition(top,top))),complement(converse(zero))))
| composition(zero,composition(complement(composition(zero,composition(top,top))),complement(converse(zero)))) != composition(zero,composition(complement(composition(zero,composition(top,top))),top))
| composition(composition(zero,complement(composition(zero,composition(top,top)))),complement(converse(zero))) = composition(zero,composition(complement(composition(zero,composition(top,top))),top)) ),
inference(subst,[],[refute_0_21:[bind(X,$fot(composition(composition(zero,complement(composition(zero,composition(top,top)))),complement(converse(zero))))),bind(Y,$fot(composition(zero,composition(complement(composition(zero,composition(top,top))),complement(converse(zero)))))),bind(Z,$fot(composition(zero,composition(complement(composition(zero,composition(top,top))),top))))]]) ).
cnf(refute_0_971,plain,
( composition(zero,composition(complement(composition(zero,composition(top,top))),complement(converse(zero)))) != composition(zero,composition(complement(composition(zero,composition(top,top))),top))
| composition(composition(zero,complement(composition(zero,composition(top,top)))),complement(converse(zero))) = composition(zero,composition(complement(composition(zero,composition(top,top))),top)) ),
inference(resolve,[$cnf( $equal(composition(composition(zero,complement(composition(zero,composition(top,top)))),complement(converse(zero))),composition(zero,composition(complement(composition(zero,composition(top,top))),complement(converse(zero))))) )],[refute_0_969,refute_0_970]) ).
cnf(refute_0_972,plain,
composition(composition(zero,complement(composition(zero,composition(top,top)))),complement(converse(zero))) = composition(zero,composition(complement(composition(zero,composition(top,top))),top)),
inference(resolve,[$cnf( $equal(composition(zero,composition(complement(composition(zero,composition(top,top))),complement(converse(zero)))),composition(zero,composition(complement(composition(zero,composition(top,top))),top))) )],[refute_0_968,refute_0_971]) ).
cnf(refute_0_973,plain,
( composition(composition(zero,complement(composition(zero,composition(top,top)))),complement(converse(zero))) != composition(zero,composition(complement(composition(zero,composition(top,top))),top))
| composition(composition(zero,complement(composition(zero,composition(top,top)))),complement(converse(zero))) != zero
| composition(zero,composition(complement(composition(zero,composition(top,top))),top)) = zero ),
introduced(tautology,[equality,[$cnf( $equal(composition(composition(zero,complement(composition(zero,composition(top,top)))),complement(converse(zero))),zero) ),[0],$fot(composition(zero,composition(complement(composition(zero,composition(top,top))),top)))]]) ).
cnf(refute_0_974,plain,
( composition(composition(zero,complement(composition(zero,composition(top,top)))),complement(converse(zero))) != zero
| composition(zero,composition(complement(composition(zero,composition(top,top))),top)) = zero ),
inference(resolve,[$cnf( $equal(composition(composition(zero,complement(composition(zero,composition(top,top)))),complement(converse(zero))),composition(zero,composition(complement(composition(zero,composition(top,top))),top))) )],[refute_0_972,refute_0_973]) ).
cnf(refute_0_975,plain,
composition(zero,composition(complement(composition(zero,composition(top,top))),top)) = zero,
inference(resolve,[$cnf( $equal(composition(composition(zero,complement(composition(zero,composition(top,top)))),complement(converse(zero))),zero) )],[refute_0_960,refute_0_974]) ).
cnf(refute_0_976,plain,
converse(composition(top,composition(zero,top))) = composition(converse(composition(zero,top)),top),
inference(subst,[],[refute_0_814:[bind(X1,$fot(composition(zero,top)))]]) ).
cnf(refute_0_977,plain,
( converse(composition(top,composition(zero,top))) != composition(converse(composition(zero,top)),top)
| converse(composition(zero,top)) != composition(top,zero)
| converse(composition(top,composition(zero,top))) = composition(composition(top,zero),top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,composition(zero,top))),composition(converse(composition(zero,top)),top)) ),[1,0],$fot(composition(top,zero))]]) ).
cnf(refute_0_978,plain,
( converse(composition(top,composition(zero,top))) != composition(converse(composition(zero,top)),top)
| converse(composition(top,composition(zero,top))) = composition(composition(top,zero),top) ),
inference(resolve,[$cnf( $equal(converse(composition(zero,top)),composition(top,zero)) )],[refute_0_932,refute_0_977]) ).
cnf(refute_0_979,plain,
converse(composition(top,composition(zero,top))) = composition(composition(top,zero),top),
inference(resolve,[$cnf( $equal(converse(composition(top,composition(zero,top))),composition(converse(composition(zero,top)),top)) )],[refute_0_976,refute_0_978]) ).
cnf(refute_0_980,plain,
composition(composition(top,zero),top) = composition(top,composition(zero,top)),
inference(subst,[],[refute_0_937:[bind(X0,$fot(top)),bind(X1,$fot(zero)),bind(X2,$fot(top))]]) ).
cnf(refute_0_981,plain,
( composition(composition(top,zero),top) != composition(top,composition(zero,top))
| converse(composition(top,composition(zero,top))) != composition(composition(top,zero),top)
| converse(composition(top,composition(zero,top))) = composition(top,composition(zero,top)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,composition(zero,top))),composition(composition(top,zero),top)) ),[1],$fot(composition(top,composition(zero,top)))]]) ).
cnf(refute_0_982,plain,
( converse(composition(top,composition(zero,top))) != composition(composition(top,zero),top)
| converse(composition(top,composition(zero,top))) = composition(top,composition(zero,top)) ),
inference(resolve,[$cnf( $equal(composition(composition(top,zero),top),composition(top,composition(zero,top))) )],[refute_0_980,refute_0_981]) ).
cnf(refute_0_983,plain,
converse(composition(top,composition(zero,top))) = composition(top,composition(zero,top)),
inference(resolve,[$cnf( $equal(converse(composition(top,composition(zero,top))),composition(composition(top,zero),top)) )],[refute_0_979,refute_0_982]) ).
cnf(refute_0_984,plain,
converse(composition(top,composition(top,zero))) = composition(converse(composition(top,zero)),top),
inference(subst,[],[refute_0_814:[bind(X1,$fot(composition(top,zero)))]]) ).
cnf(refute_0_985,plain,
( converse(composition(top,composition(top,zero))) != composition(converse(composition(top,zero)),top)
| converse(composition(top,zero)) != composition(zero,top)
| converse(composition(top,composition(top,zero))) = composition(composition(zero,top),top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,composition(top,zero))),composition(converse(composition(top,zero)),top)) ),[1,0],$fot(composition(zero,top))]]) ).
cnf(refute_0_986,plain,
( converse(composition(top,composition(top,zero))) != composition(converse(composition(top,zero)),top)
| converse(composition(top,composition(top,zero))) = composition(composition(zero,top),top) ),
inference(resolve,[$cnf( $equal(converse(composition(top,zero)),composition(zero,top)) )],[refute_0_929,refute_0_985]) ).
cnf(refute_0_987,plain,
converse(composition(top,composition(top,zero))) = composition(composition(zero,top),top),
inference(resolve,[$cnf( $equal(converse(composition(top,composition(top,zero))),composition(converse(composition(top,zero)),top)) )],[refute_0_984,refute_0_986]) ).
cnf(refute_0_988,plain,
( composition(composition(zero,top),top) != composition(zero,composition(top,top))
| converse(composition(top,composition(top,zero))) != composition(composition(zero,top),top)
| converse(composition(top,composition(top,zero))) = composition(zero,composition(top,top)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,composition(top,zero))),composition(composition(zero,top),top)) ),[1],$fot(composition(zero,composition(top,top)))]]) ).
cnf(refute_0_989,plain,
( converse(composition(top,composition(top,zero))) != composition(composition(zero,top),top)
| converse(composition(top,composition(top,zero))) = composition(zero,composition(top,top)) ),
inference(resolve,[$cnf( $equal(composition(composition(zero,top),top),composition(zero,composition(top,top))) )],[refute_0_938,refute_0_988]) ).
cnf(refute_0_990,plain,
converse(composition(top,composition(top,zero))) = composition(zero,composition(top,top)),
inference(resolve,[$cnf( $equal(converse(composition(top,composition(top,zero))),composition(composition(zero,top),top)) )],[refute_0_987,refute_0_989]) ).
cnf(refute_0_991,plain,
composition(top,composition(complement(composition(top,top)),X2)) = composition(composition(top,complement(composition(top,top))),X2),
inference(subst,[],[refute_0_786:[bind(X0,$fot(top)),bind(X1,$fot(complement(composition(top,top))))]]) ).
cnf(refute_0_992,plain,
composition(converse(top),complement(composition(top,top))) = zero,
inference(subst,[],[refute_0_806:[bind(X_70,$fot(top))]]) ).
cnf(refute_0_993,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_994,plain,
( composition(converse(top),complement(composition(top,top))) != zero
| composition(top,complement(composition(top,top))) = zero ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_467,refute_0_993]) ).
cnf(refute_0_995,plain,
composition(top,complement(composition(top,top))) = zero,
inference(resolve,[$cnf( $equal(composition(converse(top),complement(composition(top,top))),zero) )],[refute_0_992,refute_0_994]) ).
cnf(refute_0_996,plain,
( composition(top,complement(composition(top,top))) != zero
| composition(top,composition(complement(composition(top,top)),X2)) != composition(composition(top,complement(composition(top,top))),X2)
| composition(top,composition(complement(composition(top,top)),X2)) = composition(zero,X2) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,composition(complement(composition(top,top)),X2)),composition(composition(top,complement(composition(top,top))),X2)) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_997,plain,
( composition(top,composition(complement(composition(top,top)),X2)) != composition(composition(top,complement(composition(top,top))),X2)
| composition(top,composition(complement(composition(top,top)),X2)) = composition(zero,X2) ),
inference(resolve,[$cnf( $equal(composition(top,complement(composition(top,top))),zero) )],[refute_0_995,refute_0_996]) ).
cnf(refute_0_998,plain,
composition(top,composition(complement(composition(top,top)),X2)) = composition(zero,X2),
inference(resolve,[$cnf( $equal(composition(top,composition(complement(composition(top,top)),X2)),composition(composition(top,complement(composition(top,top))),X2)) )],[refute_0_991,refute_0_997]) ).
cnf(refute_0_999,plain,
composition(top,composition(complement(composition(top,top)),complement(converse(composition(top,complement(composition(top,top))))))) = composition(zero,complement(converse(composition(top,complement(composition(top,top)))))),
inference(subst,[],[refute_0_998:[bind(X2,$fot(complement(converse(composition(top,complement(composition(top,top)))))))]]) ).
cnf(refute_0_1000,plain,
composition(complement(composition(top,top)),complement(converse(composition(top,complement(composition(top,top)))))) = zero,
inference(subst,[],[refute_0_828:[bind(X0,$fot(complement(composition(top,top))))]]) ).
cnf(refute_0_1001,plain,
( composition(complement(composition(top,top)),complement(converse(composition(top,complement(composition(top,top)))))) != zero
| composition(top,composition(complement(composition(top,top)),complement(converse(composition(top,complement(composition(top,top))))))) != composition(zero,complement(converse(composition(top,complement(composition(top,top))))))
| composition(top,zero) = composition(zero,complement(converse(composition(top,complement(composition(top,top)))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,composition(complement(composition(top,top)),complement(converse(composition(top,complement(composition(top,top))))))),composition(zero,complement(converse(composition(top,complement(composition(top,top))))))) ),[0,1],$fot(zero)]]) ).
cnf(refute_0_1002,plain,
( composition(top,composition(complement(composition(top,top)),complement(converse(composition(top,complement(composition(top,top))))))) != composition(zero,complement(converse(composition(top,complement(composition(top,top))))))
| composition(top,zero) = composition(zero,complement(converse(composition(top,complement(composition(top,top)))))) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,top)),complement(converse(composition(top,complement(composition(top,top)))))),zero) )],[refute_0_1000,refute_0_1001]) ).
cnf(refute_0_1003,plain,
composition(top,zero) = composition(zero,complement(converse(composition(top,complement(composition(top,top)))))),
inference(resolve,[$cnf( $equal(composition(top,composition(complement(composition(top,top)),complement(converse(composition(top,complement(composition(top,top))))))),composition(zero,complement(converse(composition(top,complement(composition(top,top))))))) )],[refute_0_999,refute_0_1002]) ).
cnf(refute_0_1004,plain,
converse(composition(top,complement(composition(top,top)))) = converse(composition(top,complement(composition(top,top)))),
introduced(tautology,[refl,[$fot(converse(composition(top,complement(composition(top,top)))))]]) ).
cnf(refute_0_1005,plain,
( composition(top,complement(composition(top,top))) != zero
| converse(composition(top,complement(composition(top,top)))) != converse(composition(top,complement(composition(top,top))))
| converse(composition(top,complement(composition(top,top)))) = converse(zero) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,complement(composition(top,top)))),converse(composition(top,complement(composition(top,top))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_1006,plain,
( composition(top,complement(composition(top,top))) != zero
| converse(composition(top,complement(composition(top,top)))) = converse(zero) ),
inference(resolve,[$cnf( $equal(converse(composition(top,complement(composition(top,top)))),converse(composition(top,complement(composition(top,top))))) )],[refute_0_1004,refute_0_1005]) ).
cnf(refute_0_1007,plain,
converse(composition(top,complement(composition(top,top)))) = converse(zero),
inference(resolve,[$cnf( $equal(composition(top,complement(composition(top,top))),zero) )],[refute_0_995,refute_0_1006]) ).
cnf(refute_0_1008,plain,
( converse(composition(top,complement(composition(top,top)))) != converse(zero)
| converse(zero) != zero
| converse(composition(top,complement(composition(top,top)))) = zero ),
inference(subst,[],[refute_0_21:[bind(X,$fot(converse(composition(top,complement(composition(top,top)))))),bind(Y,$fot(converse(zero))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_1009,plain,
( converse(zero) != zero
| converse(composition(top,complement(composition(top,top)))) = zero ),
inference(resolve,[$cnf( $equal(converse(composition(top,complement(composition(top,top)))),converse(zero)) )],[refute_0_1007,refute_0_1008]) ).
cnf(refute_0_1010,plain,
converse(composition(top,complement(composition(top,top)))) = zero,
inference(resolve,[$cnf( $equal(converse(zero),zero) )],[refute_0_926,refute_0_1009]) ).
cnf(refute_0_1011,plain,
complement(converse(composition(top,complement(composition(top,top))))) = complement(converse(composition(top,complement(composition(top,top))))),
introduced(tautology,[refl,[$fot(complement(converse(composition(top,complement(composition(top,top))))))]]) ).
cnf(refute_0_1012,plain,
( complement(converse(composition(top,complement(composition(top,top))))) != complement(converse(composition(top,complement(composition(top,top)))))
| converse(composition(top,complement(composition(top,top)))) != zero
| complement(converse(composition(top,complement(composition(top,top))))) = complement(zero) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(composition(top,complement(composition(top,top))))),complement(converse(composition(top,complement(composition(top,top)))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_1013,plain,
( converse(composition(top,complement(composition(top,top)))) != zero
| complement(converse(composition(top,complement(composition(top,top))))) = complement(zero) ),
inference(resolve,[$cnf( $equal(complement(converse(composition(top,complement(composition(top,top))))),complement(converse(composition(top,complement(composition(top,top)))))) )],[refute_0_1011,refute_0_1012]) ).
cnf(refute_0_1014,plain,
complement(converse(composition(top,complement(composition(top,top))))) = complement(zero),
inference(resolve,[$cnf( $equal(converse(composition(top,complement(composition(top,top)))),zero) )],[refute_0_1010,refute_0_1013]) ).
cnf(refute_0_1015,plain,
( complement(converse(composition(top,complement(composition(top,top))))) != complement(zero)
| complement(zero) != top
| complement(converse(composition(top,complement(composition(top,top))))) = top ),
inference(subst,[],[refute_0_21:[bind(X,$fot(complement(converse(composition(top,complement(composition(top,top))))))),bind(Y,$fot(complement(zero))),bind(Z,$fot(top))]]) ).
cnf(refute_0_1016,plain,
( complement(zero) != top
| complement(converse(composition(top,complement(composition(top,top))))) = top ),
inference(resolve,[$cnf( $equal(complement(converse(composition(top,complement(composition(top,top))))),complement(zero)) )],[refute_0_1014,refute_0_1015]) ).
cnf(refute_0_1017,plain,
complement(converse(composition(top,complement(composition(top,top))))) = top,
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_240,refute_0_1016]) ).
cnf(refute_0_1018,plain,
composition(zero,complement(converse(composition(top,complement(composition(top,top)))))) = composition(zero,complement(converse(composition(top,complement(composition(top,top)))))),
introduced(tautology,[refl,[$fot(composition(zero,complement(converse(composition(top,complement(composition(top,top)))))))]]) ).
cnf(refute_0_1019,plain,
( complement(converse(composition(top,complement(composition(top,top))))) != top
| composition(zero,complement(converse(composition(top,complement(composition(top,top)))))) != composition(zero,complement(converse(composition(top,complement(composition(top,top))))))
| composition(zero,complement(converse(composition(top,complement(composition(top,top)))))) = composition(zero,top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(zero,complement(converse(composition(top,complement(composition(top,top)))))),composition(zero,complement(converse(composition(top,complement(composition(top,top))))))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_1020,plain,
( complement(converse(composition(top,complement(composition(top,top))))) != top
| composition(zero,complement(converse(composition(top,complement(composition(top,top)))))) = composition(zero,top) ),
inference(resolve,[$cnf( $equal(composition(zero,complement(converse(composition(top,complement(composition(top,top)))))),composition(zero,complement(converse(composition(top,complement(composition(top,top))))))) )],[refute_0_1018,refute_0_1019]) ).
cnf(refute_0_1021,plain,
composition(zero,complement(converse(composition(top,complement(composition(top,top)))))) = composition(zero,top),
inference(resolve,[$cnf( $equal(complement(converse(composition(top,complement(composition(top,top))))),top) )],[refute_0_1017,refute_0_1020]) ).
cnf(refute_0_1022,plain,
( composition(top,zero) != composition(zero,complement(converse(composition(top,complement(composition(top,top))))))
| composition(zero,complement(converse(composition(top,complement(composition(top,top)))))) != composition(zero,top)
| composition(top,zero) = composition(zero,top) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(top,zero),composition(zero,top)) ),[0],$fot(composition(zero,complement(converse(composition(top,complement(composition(top,top)))))))]]) ).
cnf(refute_0_1023,plain,
( composition(top,zero) != composition(zero,complement(converse(composition(top,complement(composition(top,top))))))
| composition(top,zero) = composition(zero,top) ),
inference(resolve,[$cnf( $equal(composition(zero,complement(converse(composition(top,complement(composition(top,top)))))),composition(zero,top)) )],[refute_0_1021,refute_0_1022]) ).
cnf(refute_0_1024,plain,
composition(top,zero) = composition(zero,top),
inference(resolve,[$cnf( $equal(composition(top,zero),composition(zero,complement(converse(composition(top,complement(composition(top,top))))))) )],[refute_0_1003,refute_0_1023]) ).
cnf(refute_0_1025,plain,
( composition(top,zero) != composition(zero,top)
| composition(zero,top) = composition(top,zero) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(composition(top,zero))),bind(Y,$fot(composition(zero,top)))]]) ).
cnf(refute_0_1026,plain,
composition(zero,top) = composition(top,zero),
inference(resolve,[$cnf( $equal(composition(top,zero),composition(zero,top)) )],[refute_0_1024,refute_0_1025]) ).
cnf(refute_0_1027,plain,
composition(top,composition(zero,top)) = composition(top,composition(zero,top)),
introduced(tautology,[refl,[$fot(composition(top,composition(zero,top)))]]) ).
cnf(refute_0_1028,plain,
( composition(top,composition(zero,top)) != composition(top,composition(zero,top))
| composition(zero,top) != composition(top,zero)
| composition(top,composition(zero,top)) = composition(top,composition(top,zero)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,composition(zero,top)),composition(top,composition(zero,top))) ),[1,1],$fot(composition(top,zero))]]) ).
cnf(refute_0_1029,plain,
( composition(zero,top) != composition(top,zero)
| composition(top,composition(zero,top)) = composition(top,composition(top,zero)) ),
inference(resolve,[$cnf( $equal(composition(top,composition(zero,top)),composition(top,composition(zero,top))) )],[refute_0_1027,refute_0_1028]) ).
cnf(refute_0_1030,plain,
composition(top,composition(zero,top)) = composition(top,composition(top,zero)),
inference(resolve,[$cnf( $equal(composition(zero,top),composition(top,zero)) )],[refute_0_1026,refute_0_1029]) ).
cnf(refute_0_1031,plain,
converse(composition(top,composition(zero,top))) = converse(composition(top,composition(zero,top))),
introduced(tautology,[refl,[$fot(converse(composition(top,composition(zero,top))))]]) ).
cnf(refute_0_1032,plain,
( composition(top,composition(zero,top)) != composition(top,composition(top,zero))
| converse(composition(top,composition(zero,top))) != converse(composition(top,composition(zero,top)))
| converse(composition(top,composition(zero,top))) = converse(composition(top,composition(top,zero))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,composition(zero,top))),converse(composition(top,composition(zero,top)))) ),[1,0],$fot(composition(top,composition(top,zero)))]]) ).
cnf(refute_0_1033,plain,
( composition(top,composition(zero,top)) != composition(top,composition(top,zero))
| converse(composition(top,composition(zero,top))) = converse(composition(top,composition(top,zero))) ),
inference(resolve,[$cnf( $equal(converse(composition(top,composition(zero,top))),converse(composition(top,composition(zero,top)))) )],[refute_0_1031,refute_0_1032]) ).
cnf(refute_0_1034,plain,
converse(composition(top,composition(zero,top))) = converse(composition(top,composition(top,zero))),
inference(resolve,[$cnf( $equal(composition(top,composition(zero,top)),composition(top,composition(top,zero))) )],[refute_0_1030,refute_0_1033]) ).
cnf(refute_0_1035,plain,
( converse(composition(top,composition(top,zero))) != composition(zero,composition(top,top))
| converse(composition(top,composition(zero,top))) != converse(composition(top,composition(top,zero)))
| converse(composition(top,composition(zero,top))) = composition(zero,composition(top,top)) ),
inference(subst,[],[refute_0_21:[bind(X,$fot(converse(composition(top,composition(zero,top))))),bind(Y,$fot(converse(composition(top,composition(top,zero))))),bind(Z,$fot(composition(zero,composition(top,top))))]]) ).
cnf(refute_0_1036,plain,
( converse(composition(top,composition(top,zero))) != composition(zero,composition(top,top))
| converse(composition(top,composition(zero,top))) = composition(zero,composition(top,top)) ),
inference(resolve,[$cnf( $equal(converse(composition(top,composition(zero,top))),converse(composition(top,composition(top,zero)))) )],[refute_0_1034,refute_0_1035]) ).
cnf(refute_0_1037,plain,
converse(composition(top,composition(zero,top))) = composition(zero,composition(top,top)),
inference(resolve,[$cnf( $equal(converse(composition(top,composition(top,zero))),composition(zero,composition(top,top))) )],[refute_0_990,refute_0_1036]) ).
cnf(refute_0_1038,plain,
( converse(composition(top,composition(zero,top))) != composition(top,composition(zero,top))
| converse(composition(top,composition(zero,top))) != composition(zero,composition(top,top))
| composition(zero,composition(top,top)) = composition(top,composition(zero,top)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,composition(zero,top))),composition(top,composition(zero,top))) ),[0],$fot(composition(zero,composition(top,top)))]]) ).
cnf(refute_0_1039,plain,
( converse(composition(top,composition(zero,top))) != composition(top,composition(zero,top))
| composition(zero,composition(top,top)) = composition(top,composition(zero,top)) ),
inference(resolve,[$cnf( $equal(converse(composition(top,composition(zero,top))),composition(zero,composition(top,top))) )],[refute_0_1037,refute_0_1038]) ).
cnf(refute_0_1040,plain,
( composition(top,composition(zero,top)) != composition(top,composition(top,zero))
| composition(zero,composition(top,top)) != composition(top,composition(zero,top))
| composition(zero,composition(top,top)) = composition(top,composition(top,zero)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(zero,composition(top,top)),composition(top,composition(zero,top))) ),[1],$fot(composition(top,composition(top,zero)))]]) ).
cnf(refute_0_1041,plain,
( composition(zero,composition(top,top)) != composition(top,composition(zero,top))
| composition(zero,composition(top,top)) = composition(top,composition(top,zero)) ),
inference(resolve,[$cnf( $equal(composition(top,composition(zero,top)),composition(top,composition(top,zero))) )],[refute_0_1030,refute_0_1040]) ).
cnf(refute_0_1042,plain,
( converse(composition(top,composition(zero,top))) != composition(top,composition(zero,top))
| composition(zero,composition(top,top)) = composition(top,composition(top,zero)) ),
inference(resolve,[$cnf( $equal(composition(zero,composition(top,top)),composition(top,composition(zero,top))) )],[refute_0_1039,refute_0_1041]) ).
cnf(refute_0_1043,plain,
composition(zero,composition(top,top)) = composition(top,composition(top,zero)),
inference(resolve,[$cnf( $equal(converse(composition(top,composition(zero,top))),composition(top,composition(zero,top))) )],[refute_0_983,refute_0_1042]) ).
cnf(refute_0_1044,plain,
complement(composition(zero,composition(top,top))) = complement(composition(zero,composition(top,top))),
introduced(tautology,[refl,[$fot(complement(composition(zero,composition(top,top))))]]) ).
cnf(refute_0_1045,plain,
( complement(composition(zero,composition(top,top))) != complement(composition(zero,composition(top,top)))
| composition(zero,composition(top,top)) != composition(top,composition(top,zero))
| complement(composition(zero,composition(top,top))) = complement(composition(top,composition(top,zero))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(zero,composition(top,top))),complement(composition(zero,composition(top,top)))) ),[1,0],$fot(composition(top,composition(top,zero)))]]) ).
cnf(refute_0_1046,plain,
( composition(zero,composition(top,top)) != composition(top,composition(top,zero))
| complement(composition(zero,composition(top,top))) = complement(composition(top,composition(top,zero))) ),
inference(resolve,[$cnf( $equal(complement(composition(zero,composition(top,top))),complement(composition(zero,composition(top,top)))) )],[refute_0_1044,refute_0_1045]) ).
cnf(refute_0_1047,plain,
complement(composition(zero,composition(top,top))) = complement(composition(top,composition(top,zero))),
inference(resolve,[$cnf( $equal(composition(zero,composition(top,top)),composition(top,composition(top,zero))) )],[refute_0_1043,refute_0_1046]) ).
cnf(refute_0_1048,plain,
composition(complement(composition(zero,composition(top,top))),top) = composition(complement(composition(zero,composition(top,top))),top),
introduced(tautology,[refl,[$fot(composition(complement(composition(zero,composition(top,top))),top))]]) ).
cnf(refute_0_1049,plain,
( complement(composition(zero,composition(top,top))) != complement(composition(top,composition(top,zero)))
| composition(complement(composition(zero,composition(top,top))),top) != composition(complement(composition(zero,composition(top,top))),top)
| composition(complement(composition(zero,composition(top,top))),top) = composition(complement(composition(top,composition(top,zero))),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(composition(zero,composition(top,top))),top),composition(complement(composition(zero,composition(top,top))),top)) ),[1,0],$fot(complement(composition(top,composition(top,zero))))]]) ).
cnf(refute_0_1050,plain,
( complement(composition(zero,composition(top,top))) != complement(composition(top,composition(top,zero)))
| composition(complement(composition(zero,composition(top,top))),top) = composition(complement(composition(top,composition(top,zero))),top) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(zero,composition(top,top))),top),composition(complement(composition(zero,composition(top,top))),top)) )],[refute_0_1048,refute_0_1049]) ).
cnf(refute_0_1051,plain,
composition(complement(composition(zero,composition(top,top))),top) = composition(complement(composition(top,composition(top,zero))),top),
inference(resolve,[$cnf( $equal(complement(composition(zero,composition(top,top))),complement(composition(top,composition(top,zero)))) )],[refute_0_1047,refute_0_1050]) ).
cnf(refute_0_1052,plain,
composition(zero,composition(complement(composition(zero,composition(top,top))),top)) = composition(zero,composition(complement(composition(zero,composition(top,top))),top)),
introduced(tautology,[refl,[$fot(composition(zero,composition(complement(composition(zero,composition(top,top))),top)))]]) ).
cnf(refute_0_1053,plain,
( composition(complement(composition(zero,composition(top,top))),top) != composition(complement(composition(top,composition(top,zero))),top)
| composition(zero,composition(complement(composition(zero,composition(top,top))),top)) != composition(zero,composition(complement(composition(zero,composition(top,top))),top))
| composition(zero,composition(complement(composition(zero,composition(top,top))),top)) = composition(zero,composition(complement(composition(top,composition(top,zero))),top)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(zero,composition(complement(composition(zero,composition(top,top))),top)),composition(zero,composition(complement(composition(zero,composition(top,top))),top))) ),[1,1],$fot(composition(complement(composition(top,composition(top,zero))),top))]]) ).
cnf(refute_0_1054,plain,
( composition(complement(composition(zero,composition(top,top))),top) != composition(complement(composition(top,composition(top,zero))),top)
| composition(zero,composition(complement(composition(zero,composition(top,top))),top)) = composition(zero,composition(complement(composition(top,composition(top,zero))),top)) ),
inference(resolve,[$cnf( $equal(composition(zero,composition(complement(composition(zero,composition(top,top))),top)),composition(zero,composition(complement(composition(zero,composition(top,top))),top))) )],[refute_0_1052,refute_0_1053]) ).
cnf(refute_0_1055,plain,
composition(zero,composition(complement(composition(zero,composition(top,top))),top)) = composition(zero,composition(complement(composition(top,composition(top,zero))),top)),
inference(resolve,[$cnf( $equal(composition(complement(composition(zero,composition(top,top))),top),composition(complement(composition(top,composition(top,zero))),top)) )],[refute_0_1051,refute_0_1054]) ).
cnf(refute_0_1056,plain,
( composition(zero,composition(complement(composition(zero,composition(top,top))),top)) != composition(zero,composition(complement(composition(top,composition(top,zero))),top))
| composition(zero,composition(complement(composition(zero,composition(top,top))),top)) != zero
| composition(zero,composition(complement(composition(top,composition(top,zero))),top)) = zero ),
introduced(tautology,[equality,[$cnf( $equal(composition(zero,composition(complement(composition(zero,composition(top,top))),top)),zero) ),[0],$fot(composition(zero,composition(complement(composition(top,composition(top,zero))),top)))]]) ).
cnf(refute_0_1057,plain,
( composition(zero,composition(complement(composition(zero,composition(top,top))),top)) != zero
| composition(zero,composition(complement(composition(top,composition(top,zero))),top)) = zero ),
inference(resolve,[$cnf( $equal(composition(zero,composition(complement(composition(zero,composition(top,top))),top)),composition(zero,composition(complement(composition(top,composition(top,zero))),top))) )],[refute_0_1055,refute_0_1056]) ).
cnf(refute_0_1058,plain,
composition(zero,composition(complement(composition(top,composition(top,zero))),top)) = zero,
inference(resolve,[$cnf( $equal(composition(zero,composition(complement(composition(zero,composition(top,top))),top)),zero) )],[refute_0_975,refute_0_1057]) ).
cnf(refute_0_1059,plain,
composition(top,composition(composition(zero,complement(composition(zero,composition(top,top)))),X2)) = composition(composition(top,composition(zero,complement(composition(zero,composition(top,top))))),X2),
inference(subst,[],[refute_0_786:[bind(X0,$fot(top)),bind(X1,$fot(composition(zero,complement(composition(zero,composition(top,top))))))]]) ).
cnf(refute_0_1060,plain,
( composition(top,composition(composition(zero,complement(composition(zero,composition(top,top)))),X2)) != composition(composition(top,composition(zero,complement(composition(zero,composition(top,top))))),X2)
| composition(top,composition(zero,complement(composition(zero,composition(top,top))))) != zero
| composition(top,composition(composition(zero,complement(composition(zero,composition(top,top)))),X2)) = composition(zero,X2) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,composition(composition(zero,complement(composition(zero,composition(top,top)))),X2)),composition(composition(top,composition(zero,complement(composition(zero,composition(top,top))))),X2)) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_1061,plain,
( composition(top,composition(composition(zero,complement(composition(zero,composition(top,top)))),X2)) != composition(composition(top,composition(zero,complement(composition(zero,composition(top,top))))),X2)
| composition(top,composition(composition(zero,complement(composition(zero,composition(top,top)))),X2)) = composition(zero,X2) ),
inference(resolve,[$cnf( $equal(composition(top,composition(zero,complement(composition(zero,composition(top,top))))),zero) )],[refute_0_957,refute_0_1060]) ).
cnf(refute_0_1062,plain,
composition(top,composition(composition(zero,complement(composition(zero,composition(top,top)))),X2)) = composition(zero,X2),
inference(resolve,[$cnf( $equal(composition(top,composition(composition(zero,complement(composition(zero,composition(top,top)))),X2)),composition(composition(top,composition(zero,complement(composition(zero,composition(top,top))))),X2)) )],[refute_0_1059,refute_0_1061]) ).
cnf(refute_0_1063,plain,
composition(composition(zero,complement(composition(zero,composition(top,top)))),X2) = composition(zero,composition(complement(composition(zero,composition(top,top))),X2)),
inference(subst,[],[refute_0_937:[bind(X0,$fot(zero)),bind(X1,$fot(complement(composition(zero,composition(top,top)))))]]) ).
cnf(refute_0_1064,plain,
composition(top,composition(composition(zero,complement(composition(zero,composition(top,top)))),X2)) = composition(top,composition(composition(zero,complement(composition(zero,composition(top,top)))),X2)),
introduced(tautology,[refl,[$fot(composition(top,composition(composition(zero,complement(composition(zero,composition(top,top)))),X2)))]]) ).
cnf(refute_0_1065,plain,
( composition(composition(zero,complement(composition(zero,composition(top,top)))),X2) != composition(zero,composition(complement(composition(zero,composition(top,top))),X2))
| composition(top,composition(composition(zero,complement(composition(zero,composition(top,top)))),X2)) != composition(top,composition(composition(zero,complement(composition(zero,composition(top,top)))),X2))
| composition(top,composition(composition(zero,complement(composition(zero,composition(top,top)))),X2)) = composition(top,composition(zero,composition(complement(composition(zero,composition(top,top))),X2))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,composition(composition(zero,complement(composition(zero,composition(top,top)))),X2)),composition(top,composition(composition(zero,complement(composition(zero,composition(top,top)))),X2))) ),[1,1],$fot(composition(zero,composition(complement(composition(zero,composition(top,top))),X2)))]]) ).
cnf(refute_0_1066,plain,
( composition(composition(zero,complement(composition(zero,composition(top,top)))),X2) != composition(zero,composition(complement(composition(zero,composition(top,top))),X2))
| composition(top,composition(composition(zero,complement(composition(zero,composition(top,top)))),X2)) = composition(top,composition(zero,composition(complement(composition(zero,composition(top,top))),X2))) ),
inference(resolve,[$cnf( $equal(composition(top,composition(composition(zero,complement(composition(zero,composition(top,top)))),X2)),composition(top,composition(composition(zero,complement(composition(zero,composition(top,top)))),X2))) )],[refute_0_1064,refute_0_1065]) ).
cnf(refute_0_1067,plain,
composition(top,composition(composition(zero,complement(composition(zero,composition(top,top)))),X2)) = composition(top,composition(zero,composition(complement(composition(zero,composition(top,top))),X2))),
inference(resolve,[$cnf( $equal(composition(composition(zero,complement(composition(zero,composition(top,top)))),X2),composition(zero,composition(complement(composition(zero,composition(top,top))),X2))) )],[refute_0_1063,refute_0_1066]) ).
cnf(refute_0_1068,plain,
( composition(top,composition(composition(zero,complement(composition(zero,composition(top,top)))),X2)) != composition(top,composition(zero,composition(complement(composition(zero,composition(top,top))),X2)))
| composition(top,composition(composition(zero,complement(composition(zero,composition(top,top)))),X2)) != composition(zero,X2)
| composition(top,composition(zero,composition(complement(composition(zero,composition(top,top))),X2))) = composition(zero,X2) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,composition(composition(zero,complement(composition(zero,composition(top,top)))),X2)),composition(zero,X2)) ),[0],$fot(composition(top,composition(zero,composition(complement(composition(zero,composition(top,top))),X2))))]]) ).
cnf(refute_0_1069,plain,
( composition(top,composition(composition(zero,complement(composition(zero,composition(top,top)))),X2)) != composition(zero,X2)
| composition(top,composition(zero,composition(complement(composition(zero,composition(top,top))),X2))) = composition(zero,X2) ),
inference(resolve,[$cnf( $equal(composition(top,composition(composition(zero,complement(composition(zero,composition(top,top)))),X2)),composition(top,composition(zero,composition(complement(composition(zero,composition(top,top))),X2)))) )],[refute_0_1067,refute_0_1068]) ).
cnf(refute_0_1070,plain,
composition(top,composition(zero,composition(complement(composition(zero,composition(top,top))),X2))) = composition(zero,X2),
inference(resolve,[$cnf( $equal(composition(top,composition(composition(zero,complement(composition(zero,composition(top,top)))),X2)),composition(zero,X2)) )],[refute_0_1062,refute_0_1069]) ).
cnf(refute_0_1071,plain,
composition(complement(composition(zero,composition(top,top))),X2) = composition(complement(composition(zero,composition(top,top))),X2),
introduced(tautology,[refl,[$fot(composition(complement(composition(zero,composition(top,top))),X2))]]) ).
cnf(refute_0_1072,plain,
( complement(composition(zero,composition(top,top))) != complement(composition(top,composition(top,zero)))
| composition(complement(composition(zero,composition(top,top))),X2) != composition(complement(composition(zero,composition(top,top))),X2)
| composition(complement(composition(zero,composition(top,top))),X2) = composition(complement(composition(top,composition(top,zero))),X2) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(composition(zero,composition(top,top))),X2),composition(complement(composition(zero,composition(top,top))),X2)) ),[1,0],$fot(complement(composition(top,composition(top,zero))))]]) ).
cnf(refute_0_1073,plain,
( complement(composition(zero,composition(top,top))) != complement(composition(top,composition(top,zero)))
| composition(complement(composition(zero,composition(top,top))),X2) = composition(complement(composition(top,composition(top,zero))),X2) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(zero,composition(top,top))),X2),composition(complement(composition(zero,composition(top,top))),X2)) )],[refute_0_1071,refute_0_1072]) ).
cnf(refute_0_1074,plain,
composition(complement(composition(zero,composition(top,top))),X2) = composition(complement(composition(top,composition(top,zero))),X2),
inference(resolve,[$cnf( $equal(complement(composition(zero,composition(top,top))),complement(composition(top,composition(top,zero)))) )],[refute_0_1047,refute_0_1073]) ).
cnf(refute_0_1075,plain,
composition(zero,composition(complement(composition(zero,composition(top,top))),X2)) = composition(zero,composition(complement(composition(zero,composition(top,top))),X2)),
introduced(tautology,[refl,[$fot(composition(zero,composition(complement(composition(zero,composition(top,top))),X2)))]]) ).
cnf(refute_0_1076,plain,
( composition(complement(composition(zero,composition(top,top))),X2) != composition(complement(composition(top,composition(top,zero))),X2)
| composition(zero,composition(complement(composition(zero,composition(top,top))),X2)) != composition(zero,composition(complement(composition(zero,composition(top,top))),X2))
| composition(zero,composition(complement(composition(zero,composition(top,top))),X2)) = composition(zero,composition(complement(composition(top,composition(top,zero))),X2)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(zero,composition(complement(composition(zero,composition(top,top))),X2)),composition(zero,composition(complement(composition(zero,composition(top,top))),X2))) ),[1,1],$fot(composition(complement(composition(top,composition(top,zero))),X2))]]) ).
cnf(refute_0_1077,plain,
( composition(complement(composition(zero,composition(top,top))),X2) != composition(complement(composition(top,composition(top,zero))),X2)
| composition(zero,composition(complement(composition(zero,composition(top,top))),X2)) = composition(zero,composition(complement(composition(top,composition(top,zero))),X2)) ),
inference(resolve,[$cnf( $equal(composition(zero,composition(complement(composition(zero,composition(top,top))),X2)),composition(zero,composition(complement(composition(zero,composition(top,top))),X2))) )],[refute_0_1075,refute_0_1076]) ).
cnf(refute_0_1078,plain,
composition(zero,composition(complement(composition(zero,composition(top,top))),X2)) = composition(zero,composition(complement(composition(top,composition(top,zero))),X2)),
inference(resolve,[$cnf( $equal(composition(complement(composition(zero,composition(top,top))),X2),composition(complement(composition(top,composition(top,zero))),X2)) )],[refute_0_1074,refute_0_1077]) ).
cnf(refute_0_1079,plain,
composition(top,composition(zero,composition(complement(composition(zero,composition(top,top))),X2))) = composition(top,composition(zero,composition(complement(composition(zero,composition(top,top))),X2))),
introduced(tautology,[refl,[$fot(composition(top,composition(zero,composition(complement(composition(zero,composition(top,top))),X2))))]]) ).
cnf(refute_0_1080,plain,
( composition(top,composition(zero,composition(complement(composition(zero,composition(top,top))),X2))) != composition(top,composition(zero,composition(complement(composition(zero,composition(top,top))),X2)))
| composition(zero,composition(complement(composition(zero,composition(top,top))),X2)) != composition(zero,composition(complement(composition(top,composition(top,zero))),X2))
| composition(top,composition(zero,composition(complement(composition(zero,composition(top,top))),X2))) = composition(top,composition(zero,composition(complement(composition(top,composition(top,zero))),X2))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,composition(zero,composition(complement(composition(zero,composition(top,top))),X2))),composition(top,composition(zero,composition(complement(composition(zero,composition(top,top))),X2)))) ),[1,1],$fot(composition(zero,composition(complement(composition(top,composition(top,zero))),X2)))]]) ).
cnf(refute_0_1081,plain,
( composition(zero,composition(complement(composition(zero,composition(top,top))),X2)) != composition(zero,composition(complement(composition(top,composition(top,zero))),X2))
| composition(top,composition(zero,composition(complement(composition(zero,composition(top,top))),X2))) = composition(top,composition(zero,composition(complement(composition(top,composition(top,zero))),X2))) ),
inference(resolve,[$cnf( $equal(composition(top,composition(zero,composition(complement(composition(zero,composition(top,top))),X2))),composition(top,composition(zero,composition(complement(composition(zero,composition(top,top))),X2)))) )],[refute_0_1079,refute_0_1080]) ).
cnf(refute_0_1082,plain,
composition(top,composition(zero,composition(complement(composition(zero,composition(top,top))),X2))) = composition(top,composition(zero,composition(complement(composition(top,composition(top,zero))),X2))),
inference(resolve,[$cnf( $equal(composition(zero,composition(complement(composition(zero,composition(top,top))),X2)),composition(zero,composition(complement(composition(top,composition(top,zero))),X2))) )],[refute_0_1078,refute_0_1081]) ).
cnf(refute_0_1083,plain,
( composition(top,composition(zero,composition(complement(composition(zero,composition(top,top))),X2))) != composition(top,composition(zero,composition(complement(composition(top,composition(top,zero))),X2)))
| composition(top,composition(zero,composition(complement(composition(zero,composition(top,top))),X2))) != composition(zero,X2)
| composition(top,composition(zero,composition(complement(composition(top,composition(top,zero))),X2))) = composition(zero,X2) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,composition(zero,composition(complement(composition(zero,composition(top,top))),X2))),composition(zero,X2)) ),[0],$fot(composition(top,composition(zero,composition(complement(composition(top,composition(top,zero))),X2))))]]) ).
cnf(refute_0_1084,plain,
( composition(top,composition(zero,composition(complement(composition(zero,composition(top,top))),X2))) != composition(zero,X2)
| composition(top,composition(zero,composition(complement(composition(top,composition(top,zero))),X2))) = composition(zero,X2) ),
inference(resolve,[$cnf( $equal(composition(top,composition(zero,composition(complement(composition(zero,composition(top,top))),X2))),composition(top,composition(zero,composition(complement(composition(top,composition(top,zero))),X2)))) )],[refute_0_1082,refute_0_1083]) ).
cnf(refute_0_1085,plain,
composition(top,composition(zero,composition(complement(composition(top,composition(top,zero))),X2))) = composition(zero,X2),
inference(resolve,[$cnf( $equal(composition(top,composition(zero,composition(complement(composition(zero,composition(top,top))),X2))),composition(zero,X2)) )],[refute_0_1070,refute_0_1084]) ).
cnf(refute_0_1086,plain,
composition(converse(complement(composition(top,zero))),composition(converse(zero),X_103)) = composition(converse(composition(zero,complement(composition(top,zero)))),X_103),
inference(subst,[],[refute_0_793:[bind(X0,$fot(zero)),bind(X1,$fot(complement(composition(top,zero)))),bind(X_56,$fot(X_103))]]) ).
cnf(refute_0_1087,plain,
composition(converse(zero),complement(composition(zero,top))) = zero,
inference(subst,[],[refute_0_806:[bind(X_70,$fot(zero))]]) ).
cnf(refute_0_1088,plain,
( composition(converse(zero),complement(composition(zero,top))) != zero
| converse(zero) != zero
| composition(zero,complement(composition(zero,top))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(zero),complement(composition(zero,top))),zero) ),[0,0],$fot(zero)]]) ).
cnf(refute_0_1089,plain,
( composition(converse(zero),complement(composition(zero,top))) != zero
| composition(zero,complement(composition(zero,top))) = zero ),
inference(resolve,[$cnf( $equal(converse(zero),zero) )],[refute_0_926,refute_0_1088]) ).
cnf(refute_0_1090,plain,
composition(zero,complement(composition(zero,top))) = zero,
inference(resolve,[$cnf( $equal(composition(converse(zero),complement(composition(zero,top))),zero) )],[refute_0_1087,refute_0_1089]) ).
cnf(refute_0_1091,plain,
complement(composition(zero,top)) = complement(composition(zero,top)),
introduced(tautology,[refl,[$fot(complement(composition(zero,top)))]]) ).
cnf(refute_0_1092,plain,
( complement(composition(zero,top)) != complement(composition(zero,top))
| composition(zero,top) != composition(top,zero)
| complement(composition(zero,top)) = complement(composition(top,zero)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(zero,top)),complement(composition(zero,top))) ),[1,0],$fot(composition(top,zero))]]) ).
cnf(refute_0_1093,plain,
( composition(zero,top) != composition(top,zero)
| complement(composition(zero,top)) = complement(composition(top,zero)) ),
inference(resolve,[$cnf( $equal(complement(composition(zero,top)),complement(composition(zero,top))) )],[refute_0_1091,refute_0_1092]) ).
cnf(refute_0_1094,plain,
complement(composition(zero,top)) = complement(composition(top,zero)),
inference(resolve,[$cnf( $equal(composition(zero,top),composition(top,zero)) )],[refute_0_1026,refute_0_1093]) ).
cnf(refute_0_1095,plain,
composition(zero,complement(composition(zero,top))) = composition(zero,complement(composition(zero,top))),
introduced(tautology,[refl,[$fot(composition(zero,complement(composition(zero,top))))]]) ).
cnf(refute_0_1096,plain,
( complement(composition(zero,top)) != complement(composition(top,zero))
| composition(zero,complement(composition(zero,top))) != composition(zero,complement(composition(zero,top)))
| composition(zero,complement(composition(zero,top))) = composition(zero,complement(composition(top,zero))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(zero,complement(composition(zero,top))),composition(zero,complement(composition(zero,top)))) ),[1,1],$fot(complement(composition(top,zero)))]]) ).
cnf(refute_0_1097,plain,
( complement(composition(zero,top)) != complement(composition(top,zero))
| composition(zero,complement(composition(zero,top))) = composition(zero,complement(composition(top,zero))) ),
inference(resolve,[$cnf( $equal(composition(zero,complement(composition(zero,top))),composition(zero,complement(composition(zero,top)))) )],[refute_0_1095,refute_0_1096]) ).
cnf(refute_0_1098,plain,
composition(zero,complement(composition(zero,top))) = composition(zero,complement(composition(top,zero))),
inference(resolve,[$cnf( $equal(complement(composition(zero,top)),complement(composition(top,zero))) )],[refute_0_1094,refute_0_1097]) ).
cnf(refute_0_1099,plain,
( composition(zero,complement(composition(zero,top))) != composition(zero,complement(composition(top,zero)))
| composition(zero,complement(composition(zero,top))) != zero
| composition(zero,complement(composition(top,zero))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(composition(zero,complement(composition(zero,top))),zero) ),[0],$fot(composition(zero,complement(composition(top,zero))))]]) ).
cnf(refute_0_1100,plain,
( composition(zero,complement(composition(zero,top))) != zero
| composition(zero,complement(composition(top,zero))) = zero ),
inference(resolve,[$cnf( $equal(composition(zero,complement(composition(zero,top))),composition(zero,complement(composition(top,zero)))) )],[refute_0_1098,refute_0_1099]) ).
cnf(refute_0_1101,plain,
composition(zero,complement(composition(top,zero))) = zero,
inference(resolve,[$cnf( $equal(composition(zero,complement(composition(zero,top))),zero) )],[refute_0_1090,refute_0_1100]) ).
cnf(refute_0_1102,plain,
( composition(converse(complement(composition(top,zero))),composition(converse(zero),X_103)) != composition(converse(composition(zero,complement(composition(top,zero)))),X_103)
| composition(zero,complement(composition(top,zero))) != zero
| composition(converse(complement(composition(top,zero))),composition(converse(zero),X_103)) = composition(converse(zero),X_103) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(complement(composition(top,zero))),composition(converse(zero),X_103)),composition(converse(composition(zero,complement(composition(top,zero)))),X_103)) ),[1,0,0],$fot(zero)]]) ).
cnf(refute_0_1103,plain,
( composition(converse(complement(composition(top,zero))),composition(converse(zero),X_103)) != composition(converse(composition(zero,complement(composition(top,zero)))),X_103)
| composition(converse(complement(composition(top,zero))),composition(converse(zero),X_103)) = composition(converse(zero),X_103) ),
inference(resolve,[$cnf( $equal(composition(zero,complement(composition(top,zero))),zero) )],[refute_0_1101,refute_0_1102]) ).
cnf(refute_0_1104,plain,
composition(converse(complement(composition(top,zero))),composition(converse(zero),X_103)) = composition(converse(zero),X_103),
inference(resolve,[$cnf( $equal(composition(converse(complement(composition(top,zero))),composition(converse(zero),X_103)),composition(converse(composition(zero,complement(composition(top,zero)))),X_103)) )],[refute_0_1086,refute_0_1103]) ).
cnf(refute_0_1105,plain,
composition(converse(X_102),composition(converse(zero),X_103)) = composition(converse(composition(zero,X_102)),X_103),
inference(subst,[],[refute_0_793:[bind(X0,$fot(zero)),bind(X1,$fot(X_102)),bind(X_56,$fot(X_103))]]) ).
cnf(refute_0_1106,plain,
( composition(converse(X_102),composition(converse(zero),X_103)) != composition(converse(composition(zero,X_102)),X_103)
| converse(zero) != zero
| composition(converse(X_102),composition(zero,X_103)) = composition(converse(composition(zero,X_102)),X_103) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(X_102),composition(converse(zero),X_103)),composition(converse(composition(zero,X_102)),X_103)) ),[0,1,0],$fot(zero)]]) ).
cnf(refute_0_1107,plain,
( composition(converse(X_102),composition(converse(zero),X_103)) != composition(converse(composition(zero,X_102)),X_103)
| composition(converse(X_102),composition(zero,X_103)) = composition(converse(composition(zero,X_102)),X_103) ),
inference(resolve,[$cnf( $equal(converse(zero),zero) )],[refute_0_926,refute_0_1106]) ).
cnf(refute_0_1108,plain,
composition(converse(X_102),composition(zero,X_103)) = composition(converse(composition(zero,X_102)),X_103),
inference(resolve,[$cnf( $equal(composition(converse(X_102),composition(converse(zero),X_103)),composition(converse(composition(zero,X_102)),X_103)) )],[refute_0_1105,refute_0_1107]) ).
cnf(refute_0_1109,plain,
( composition(converse(X_102),composition(zero,X_103)) != composition(converse(composition(zero,X_102)),X_103)
| composition(converse(composition(zero,X_102)),X_103) = composition(converse(X_102),composition(zero,X_103)) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(composition(converse(X_102),composition(zero,X_103)))),bind(Y,$fot(composition(converse(composition(zero,X_102)),X_103)))]]) ).
cnf(refute_0_1110,plain,
composition(converse(composition(zero,X_102)),X_103) = composition(converse(X_102),composition(zero,X_103)),
inference(resolve,[$cnf( $equal(composition(converse(X_102),composition(zero,X_103)),composition(converse(composition(zero,X_102)),X_103)) )],[refute_0_1108,refute_0_1109]) ).
cnf(refute_0_1111,plain,
composition(converse(composition(zero,complement(composition(top,zero)))),X_103) = composition(converse(complement(composition(top,zero))),composition(zero,X_103)),
inference(subst,[],[refute_0_1110:[bind(X_102,$fot(complement(composition(top,zero))))]]) ).
cnf(refute_0_1112,plain,
( composition(converse(complement(composition(top,zero))),composition(converse(zero),X_103)) != composition(converse(composition(zero,complement(composition(top,zero)))),X_103)
| composition(converse(composition(zero,complement(composition(top,zero)))),X_103) != composition(converse(complement(composition(top,zero))),composition(zero,X_103))
| composition(converse(complement(composition(top,zero))),composition(converse(zero),X_103)) = composition(converse(complement(composition(top,zero))),composition(zero,X_103)) ),
inference(subst,[],[refute_0_21:[bind(X,$fot(composition(converse(complement(composition(top,zero))),composition(converse(zero),X_103)))),bind(Y,$fot(composition(converse(composition(zero,complement(composition(top,zero)))),X_103))),bind(Z,$fot(composition(converse(complement(composition(top,zero))),composition(zero,X_103))))]]) ).
cnf(refute_0_1113,plain,
( composition(converse(composition(zero,complement(composition(top,zero)))),X_103) != composition(converse(complement(composition(top,zero))),composition(zero,X_103))
| composition(converse(complement(composition(top,zero))),composition(converse(zero),X_103)) = composition(converse(complement(composition(top,zero))),composition(zero,X_103)) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(composition(top,zero))),composition(converse(zero),X_103)),composition(converse(composition(zero,complement(composition(top,zero)))),X_103)) )],[refute_0_1086,refute_0_1112]) ).
cnf(refute_0_1114,plain,
composition(converse(complement(composition(top,zero))),composition(converse(zero),X_103)) = composition(converse(complement(composition(top,zero))),composition(zero,X_103)),
inference(resolve,[$cnf( $equal(composition(converse(composition(zero,complement(composition(top,zero)))),X_103),composition(converse(complement(composition(top,zero))),composition(zero,X_103))) )],[refute_0_1111,refute_0_1113]) ).
cnf(refute_0_1115,plain,
( composition(converse(complement(composition(top,zero))),composition(converse(zero),X_103)) != composition(converse(complement(composition(top,zero))),composition(zero,X_103))
| composition(converse(complement(composition(top,zero))),composition(converse(zero),X_103)) != composition(converse(zero),X_103)
| composition(converse(complement(composition(top,zero))),composition(zero,X_103)) = composition(converse(zero),X_103) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(complement(composition(top,zero))),composition(converse(zero),X_103)),composition(converse(zero),X_103)) ),[0],$fot(composition(converse(complement(composition(top,zero))),composition(zero,X_103)))]]) ).
cnf(refute_0_1116,plain,
( composition(converse(complement(composition(top,zero))),composition(converse(zero),X_103)) != composition(converse(zero),X_103)
| composition(converse(complement(composition(top,zero))),composition(zero,X_103)) = composition(converse(zero),X_103) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(composition(top,zero))),composition(converse(zero),X_103)),composition(converse(complement(composition(top,zero))),composition(zero,X_103))) )],[refute_0_1114,refute_0_1115]) ).
cnf(refute_0_1117,plain,
composition(converse(zero),X_103) = composition(converse(zero),X_103),
introduced(tautology,[refl,[$fot(composition(converse(zero),X_103))]]) ).
cnf(refute_0_1118,plain,
( composition(converse(zero),X_103) != composition(converse(zero),X_103)
| converse(zero) != zero
| composition(converse(zero),X_103) = composition(zero,X_103) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(zero),X_103),composition(converse(zero),X_103)) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_1119,plain,
( converse(zero) != zero
| composition(converse(zero),X_103) = composition(zero,X_103) ),
inference(resolve,[$cnf( $equal(composition(converse(zero),X_103),composition(converse(zero),X_103)) )],[refute_0_1117,refute_0_1118]) ).
cnf(refute_0_1120,plain,
composition(converse(zero),X_103) = composition(zero,X_103),
inference(resolve,[$cnf( $equal(converse(zero),zero) )],[refute_0_926,refute_0_1119]) ).
cnf(refute_0_1121,plain,
( composition(converse(complement(composition(top,zero))),composition(zero,X_103)) != composition(converse(zero),X_103)
| composition(converse(zero),X_103) != composition(zero,X_103)
| composition(converse(complement(composition(top,zero))),composition(zero,X_103)) = composition(zero,X_103) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(converse(complement(composition(top,zero))),composition(zero,X_103)),composition(zero,X_103)) ),[0],$fot(composition(converse(zero),X_103))]]) ).
cnf(refute_0_1122,plain,
( composition(converse(complement(composition(top,zero))),composition(zero,X_103)) != composition(converse(zero),X_103)
| composition(converse(complement(composition(top,zero))),composition(zero,X_103)) = composition(zero,X_103) ),
inference(resolve,[$cnf( $equal(composition(converse(zero),X_103),composition(zero,X_103)) )],[refute_0_1120,refute_0_1121]) ).
cnf(refute_0_1123,plain,
( composition(converse(complement(composition(top,zero))),composition(converse(zero),X_103)) != composition(converse(zero),X_103)
| composition(converse(complement(composition(top,zero))),composition(zero,X_103)) = composition(zero,X_103) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(composition(top,zero))),composition(zero,X_103)),composition(converse(zero),X_103)) )],[refute_0_1116,refute_0_1122]) ).
cnf(refute_0_1124,plain,
composition(converse(complement(composition(top,zero))),composition(zero,X_103)) = composition(zero,X_103),
inference(resolve,[$cnf( $equal(composition(converse(complement(composition(top,zero))),composition(converse(zero),X_103)),composition(converse(zero),X_103)) )],[refute_0_1104,refute_0_1123]) ).
cnf(refute_0_1125,plain,
composition(composition(top,zero),X_103) = composition(top,composition(zero,X_103)),
inference(subst,[],[refute_0_937:[bind(X0,$fot(top)),bind(X1,$fot(zero)),bind(X2,$fot(X_103))]]) ).
cnf(refute_0_1126,plain,
converse(composition(zero,X1)) = composition(converse(X1),converse(zero)),
inference(subst,[],[refute_0_788:[bind(X0,$fot(zero))]]) ).
cnf(refute_0_1127,plain,
( converse(composition(zero,X1)) != composition(converse(X1),converse(zero))
| converse(zero) != zero
| converse(composition(zero,X1)) = composition(converse(X1),zero) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(zero,X1)),composition(converse(X1),converse(zero))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_1128,plain,
( converse(composition(zero,X1)) != composition(converse(X1),converse(zero))
| converse(composition(zero,X1)) = composition(converse(X1),zero) ),
inference(resolve,[$cnf( $equal(converse(zero),zero) )],[refute_0_926,refute_0_1127]) ).
cnf(refute_0_1129,plain,
converse(composition(zero,X1)) = composition(converse(X1),zero),
inference(resolve,[$cnf( $equal(converse(composition(zero,X1)),composition(converse(X1),converse(zero))) )],[refute_0_1126,refute_0_1128]) ).
cnf(refute_0_1130,plain,
composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(canonicalize,[],[normalize_0_25]) ).
cnf(refute_0_1131,plain,
composition(join(X_108,top),composition(zero,complement(composition(top,top)))) = join(composition(X_108,composition(zero,complement(composition(top,top)))),composition(top,composition(zero,complement(composition(top,top))))),
inference(subst,[],[refute_0_1130:[bind(X0,$fot(X_108)),bind(X1,$fot(top)),bind(X2,$fot(composition(zero,complement(composition(top,top)))))]]) ).
cnf(refute_0_1132,plain,
composition(zero,composition(top,X2)) = composition(composition(zero,top),X2),
inference(subst,[],[refute_0_786:[bind(X0,$fot(zero)),bind(X1,$fot(top))]]) ).
cnf(refute_0_1133,plain,
( composition(zero,composition(top,X2)) != composition(composition(zero,top),X2)
| composition(zero,top) != composition(top,zero)
| composition(zero,composition(top,X2)) = composition(composition(top,zero),X2) ),
introduced(tautology,[equality,[$cnf( $equal(composition(zero,composition(top,X2)),composition(composition(zero,top),X2)) ),[1,0],$fot(composition(top,zero))]]) ).
cnf(refute_0_1134,plain,
( composition(zero,composition(top,X2)) != composition(composition(zero,top),X2)
| composition(zero,composition(top,X2)) = composition(composition(top,zero),X2) ),
inference(resolve,[$cnf( $equal(composition(zero,top),composition(top,zero)) )],[refute_0_1026,refute_0_1133]) ).
cnf(refute_0_1135,plain,
composition(zero,composition(top,X2)) = composition(composition(top,zero),X2),
inference(resolve,[$cnf( $equal(composition(zero,composition(top,X2)),composition(composition(zero,top),X2)) )],[refute_0_1132,refute_0_1134]) ).
cnf(refute_0_1136,plain,
composition(composition(top,zero),X2) = composition(top,composition(zero,X2)),
inference(subst,[],[refute_0_937:[bind(X0,$fot(top)),bind(X1,$fot(zero))]]) ).
cnf(refute_0_1137,plain,
( composition(composition(top,zero),X2) != composition(top,composition(zero,X2))
| composition(zero,composition(top,X2)) != composition(composition(top,zero),X2)
| composition(zero,composition(top,X2)) = composition(top,composition(zero,X2)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(zero,composition(top,X2)),composition(composition(top,zero),X2)) ),[1],$fot(composition(top,composition(zero,X2)))]]) ).
cnf(refute_0_1138,plain,
( composition(zero,composition(top,X2)) != composition(composition(top,zero),X2)
| composition(zero,composition(top,X2)) = composition(top,composition(zero,X2)) ),
inference(resolve,[$cnf( $equal(composition(composition(top,zero),X2),composition(top,composition(zero,X2))) )],[refute_0_1136,refute_0_1137]) ).
cnf(refute_0_1139,plain,
composition(zero,composition(top,X2)) = composition(top,composition(zero,X2)),
inference(resolve,[$cnf( $equal(composition(zero,composition(top,X2)),composition(composition(top,zero),X2)) )],[refute_0_1135,refute_0_1138]) ).
cnf(refute_0_1140,plain,
composition(zero,composition(top,complement(converse(composition(top,top))))) = composition(top,composition(zero,complement(converse(composition(top,top))))),
inference(subst,[],[refute_0_1139:[bind(X2,$fot(complement(converse(composition(top,top)))))]]) ).
cnf(refute_0_1141,plain,
composition(top,complement(converse(composition(top,top)))) = zero,
inference(subst,[],[refute_0_828:[bind(X0,$fot(top))]]) ).
cnf(refute_0_1142,plain,
( composition(top,complement(converse(composition(top,top)))) != zero
| composition(zero,composition(top,complement(converse(composition(top,top))))) != composition(top,composition(zero,complement(converse(composition(top,top)))))
| composition(zero,zero) = composition(top,composition(zero,complement(converse(composition(top,top))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(zero,composition(top,complement(converse(composition(top,top))))),composition(top,composition(zero,complement(converse(composition(top,top)))))) ),[0,1],$fot(zero)]]) ).
cnf(refute_0_1143,plain,
( composition(zero,composition(top,complement(converse(composition(top,top))))) != composition(top,composition(zero,complement(converse(composition(top,top)))))
| composition(zero,zero) = composition(top,composition(zero,complement(converse(composition(top,top))))) ),
inference(resolve,[$cnf( $equal(composition(top,complement(converse(composition(top,top)))),zero) )],[refute_0_1141,refute_0_1142]) ).
cnf(refute_0_1144,plain,
composition(zero,zero) = composition(top,composition(zero,complement(converse(composition(top,top))))),
inference(resolve,[$cnf( $equal(composition(zero,composition(top,complement(converse(composition(top,top))))),composition(top,composition(zero,complement(converse(composition(top,top)))))) )],[refute_0_1140,refute_0_1143]) ).
cnf(refute_0_1145,plain,
converse(composition(top,top)) = composition(converse(top),top),
inference(subst,[],[refute_0_814:[bind(X1,$fot(top))]]) ).
cnf(refute_0_1146,plain,
( converse(composition(top,top)) != composition(converse(top),top)
| converse(top) != top
| converse(composition(top,top)) = composition(top,top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,top)),composition(converse(top),top)) ),[1,0],$fot(top)]]) ).
cnf(refute_0_1147,plain,
( converse(composition(top,top)) != composition(converse(top),top)
| converse(composition(top,top)) = composition(top,top) ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_467,refute_0_1146]) ).
cnf(refute_0_1148,plain,
converse(composition(top,top)) = composition(top,top),
inference(resolve,[$cnf( $equal(converse(composition(top,top)),composition(converse(top),top)) )],[refute_0_1145,refute_0_1147]) ).
cnf(refute_0_1149,plain,
complement(converse(composition(top,top))) = complement(converse(composition(top,top))),
introduced(tautology,[refl,[$fot(complement(converse(composition(top,top))))]]) ).
cnf(refute_0_1150,plain,
( complement(converse(composition(top,top))) != complement(converse(composition(top,top)))
| converse(composition(top,top)) != composition(top,top)
| complement(converse(composition(top,top))) = complement(composition(top,top)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(composition(top,top))),complement(converse(composition(top,top)))) ),[1,0],$fot(composition(top,top))]]) ).
cnf(refute_0_1151,plain,
( converse(composition(top,top)) != composition(top,top)
| complement(converse(composition(top,top))) = complement(composition(top,top)) ),
inference(resolve,[$cnf( $equal(complement(converse(composition(top,top))),complement(converse(composition(top,top)))) )],[refute_0_1149,refute_0_1150]) ).
cnf(refute_0_1152,plain,
complement(converse(composition(top,top))) = complement(composition(top,top)),
inference(resolve,[$cnf( $equal(converse(composition(top,top)),composition(top,top)) )],[refute_0_1148,refute_0_1151]) ).
cnf(refute_0_1153,plain,
composition(zero,complement(converse(composition(top,top)))) = composition(zero,complement(converse(composition(top,top)))),
introduced(tautology,[refl,[$fot(composition(zero,complement(converse(composition(top,top)))))]]) ).
cnf(refute_0_1154,plain,
( complement(converse(composition(top,top))) != complement(composition(top,top))
| composition(zero,complement(converse(composition(top,top)))) != composition(zero,complement(converse(composition(top,top))))
| composition(zero,complement(converse(composition(top,top)))) = composition(zero,complement(composition(top,top))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(zero,complement(converse(composition(top,top)))),composition(zero,complement(converse(composition(top,top))))) ),[1,1],$fot(complement(composition(top,top)))]]) ).
cnf(refute_0_1155,plain,
( complement(converse(composition(top,top))) != complement(composition(top,top))
| composition(zero,complement(converse(composition(top,top)))) = composition(zero,complement(composition(top,top))) ),
inference(resolve,[$cnf( $equal(composition(zero,complement(converse(composition(top,top)))),composition(zero,complement(converse(composition(top,top))))) )],[refute_0_1153,refute_0_1154]) ).
cnf(refute_0_1156,plain,
composition(zero,complement(converse(composition(top,top)))) = composition(zero,complement(composition(top,top))),
inference(resolve,[$cnf( $equal(complement(converse(composition(top,top))),complement(composition(top,top))) )],[refute_0_1152,refute_0_1155]) ).
cnf(refute_0_1157,plain,
composition(top,composition(zero,complement(converse(composition(top,top))))) = composition(top,composition(zero,complement(converse(composition(top,top))))),
introduced(tautology,[refl,[$fot(composition(top,composition(zero,complement(converse(composition(top,top))))))]]) ).
cnf(refute_0_1158,plain,
( composition(top,composition(zero,complement(converse(composition(top,top))))) != composition(top,composition(zero,complement(converse(composition(top,top)))))
| composition(zero,complement(converse(composition(top,top)))) != composition(zero,complement(composition(top,top)))
| composition(top,composition(zero,complement(converse(composition(top,top))))) = composition(top,composition(zero,complement(composition(top,top)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,composition(zero,complement(converse(composition(top,top))))),composition(top,composition(zero,complement(converse(composition(top,top)))))) ),[1,1],$fot(composition(zero,complement(composition(top,top))))]]) ).
cnf(refute_0_1159,plain,
( composition(zero,complement(converse(composition(top,top)))) != composition(zero,complement(composition(top,top)))
| composition(top,composition(zero,complement(converse(composition(top,top))))) = composition(top,composition(zero,complement(composition(top,top)))) ),
inference(resolve,[$cnf( $equal(composition(top,composition(zero,complement(converse(composition(top,top))))),composition(top,composition(zero,complement(converse(composition(top,top)))))) )],[refute_0_1157,refute_0_1158]) ).
cnf(refute_0_1160,plain,
composition(top,composition(zero,complement(converse(composition(top,top))))) = composition(top,composition(zero,complement(composition(top,top)))),
inference(resolve,[$cnf( $equal(composition(zero,complement(converse(composition(top,top)))),composition(zero,complement(composition(top,top)))) )],[refute_0_1156,refute_0_1159]) ).
cnf(refute_0_1161,plain,
( composition(top,composition(zero,complement(converse(composition(top,top))))) != composition(top,composition(zero,complement(composition(top,top))))
| composition(zero,zero) != composition(top,composition(zero,complement(converse(composition(top,top)))))
| composition(zero,zero) = composition(top,composition(zero,complement(composition(top,top)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(zero,zero),composition(top,composition(zero,complement(converse(composition(top,top)))))) ),[1],$fot(composition(top,composition(zero,complement(composition(top,top)))))]]) ).
cnf(refute_0_1162,plain,
( composition(zero,zero) != composition(top,composition(zero,complement(converse(composition(top,top)))))
| composition(zero,zero) = composition(top,composition(zero,complement(composition(top,top)))) ),
inference(resolve,[$cnf( $equal(composition(top,composition(zero,complement(converse(composition(top,top))))),composition(top,composition(zero,complement(composition(top,top))))) )],[refute_0_1160,refute_0_1161]) ).
cnf(refute_0_1163,plain,
composition(zero,zero) = composition(top,composition(zero,complement(composition(top,top)))),
inference(resolve,[$cnf( $equal(composition(zero,zero),composition(top,composition(zero,complement(converse(composition(top,top)))))) )],[refute_0_1144,refute_0_1162]) ).
cnf(refute_0_1164,plain,
( composition(zero,zero) != composition(top,composition(zero,complement(composition(top,top))))
| composition(top,composition(zero,complement(composition(top,top)))) = composition(zero,zero) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(composition(zero,zero))),bind(Y,$fot(composition(top,composition(zero,complement(composition(top,top))))))]]) ).
cnf(refute_0_1165,plain,
composition(top,composition(zero,complement(composition(top,top)))) = composition(zero,zero),
inference(resolve,[$cnf( $equal(composition(zero,zero),composition(top,composition(zero,complement(composition(top,top))))) )],[refute_0_1163,refute_0_1164]) ).
cnf(refute_0_1166,plain,
( composition(join(X_108,top),composition(zero,complement(composition(top,top)))) != join(composition(X_108,composition(zero,complement(composition(top,top)))),composition(top,composition(zero,complement(composition(top,top)))))
| composition(top,composition(zero,complement(composition(top,top)))) != composition(zero,zero)
| composition(join(X_108,top),composition(zero,complement(composition(top,top)))) = join(composition(X_108,composition(zero,complement(composition(top,top)))),composition(zero,zero)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X_108,top),composition(zero,complement(composition(top,top)))),join(composition(X_108,composition(zero,complement(composition(top,top)))),composition(top,composition(zero,complement(composition(top,top)))))) ),[1,1],$fot(composition(zero,zero))]]) ).
cnf(refute_0_1167,plain,
( composition(join(X_108,top),composition(zero,complement(composition(top,top)))) != join(composition(X_108,composition(zero,complement(composition(top,top)))),composition(top,composition(zero,complement(composition(top,top)))))
| composition(join(X_108,top),composition(zero,complement(composition(top,top)))) = join(composition(X_108,composition(zero,complement(composition(top,top)))),composition(zero,zero)) ),
inference(resolve,[$cnf( $equal(composition(top,composition(zero,complement(composition(top,top)))),composition(zero,zero)) )],[refute_0_1165,refute_0_1166]) ).
cnf(refute_0_1168,plain,
composition(join(X_108,top),composition(zero,complement(composition(top,top)))) = join(composition(X_108,composition(zero,complement(composition(top,top)))),composition(zero,zero)),
inference(resolve,[$cnf( $equal(composition(join(X_108,top),composition(zero,complement(composition(top,top)))),join(composition(X_108,composition(zero,complement(composition(top,top)))),composition(top,composition(zero,complement(composition(top,top)))))) )],[refute_0_1131,refute_0_1167]) ).
cnf(refute_0_1169,plain,
composition(join(X_108,top),complement(composition(top,top))) = join(composition(X_108,complement(composition(top,top))),composition(top,complement(composition(top,top)))),
inference(subst,[],[refute_0_1130:[bind(X0,$fot(X_108)),bind(X1,$fot(top)),bind(X2,$fot(complement(composition(top,top))))]]) ).
cnf(refute_0_1170,plain,
( composition(join(X_108,top),complement(composition(top,top))) != join(composition(X_108,complement(composition(top,top))),composition(top,complement(composition(top,top))))
| composition(top,complement(composition(top,top))) != zero
| composition(join(X_108,top),complement(composition(top,top))) = join(composition(X_108,complement(composition(top,top))),zero) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X_108,top),complement(composition(top,top))),join(composition(X_108,complement(composition(top,top))),composition(top,complement(composition(top,top))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_1171,plain,
( composition(join(X_108,top),complement(composition(top,top))) != join(composition(X_108,complement(composition(top,top))),composition(top,complement(composition(top,top))))
| composition(join(X_108,top),complement(composition(top,top))) = join(composition(X_108,complement(composition(top,top))),zero) ),
inference(resolve,[$cnf( $equal(composition(top,complement(composition(top,top))),zero) )],[refute_0_995,refute_0_1170]) ).
cnf(refute_0_1172,plain,
composition(join(X_108,top),complement(composition(top,top))) = join(composition(X_108,complement(composition(top,top))),zero),
inference(resolve,[$cnf( $equal(composition(join(X_108,top),complement(composition(top,top))),join(composition(X_108,complement(composition(top,top))),composition(top,complement(composition(top,top))))) )],[refute_0_1169,refute_0_1171]) ).
cnf(refute_0_1173,plain,
top = join(join(X_66,X_66),complement(join(X_66,X_66))),
inference(subst,[],[refute_0_66:[bind(X0,$fot(join(X_66,X_66)))]]) ).
cnf(refute_0_1174,plain,
complement(X_65) = join(meet(X_65,complement(X_65)),complement(join(complement(complement(X_65)),X_65))),
inference(subst,[],[refute_0_45:[bind(X_29,$fot(complement(X_65))),bind(X_30,$fot(X_65))]]) ).
cnf(refute_0_1175,plain,
zero = meet(X_65,complement(X_65)),
inference(subst,[],[refute_0_83:[bind(X0,$fot(X_65))]]) ).
cnf(refute_0_1176,plain,
( zero != meet(X_65,complement(X_65))
| meet(X_65,complement(X_65)) = zero ),
inference(subst,[],[refute_0_5:[bind(X,$fot(zero)),bind(Y,$fot(meet(X_65,complement(X_65))))]]) ).
cnf(refute_0_1177,plain,
meet(X_65,complement(X_65)) = zero,
inference(resolve,[$cnf( $equal(zero,meet(X_65,complement(X_65))) )],[refute_0_1175,refute_0_1176]) ).
cnf(refute_0_1178,plain,
( complement(X_65) != join(meet(X_65,complement(X_65)),complement(join(complement(complement(X_65)),X_65)))
| meet(X_65,complement(X_65)) != zero
| complement(X_65) = join(zero,complement(join(complement(complement(X_65)),X_65))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(X_65),join(meet(X_65,complement(X_65)),complement(join(complement(complement(X_65)),X_65)))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_1179,plain,
( complement(X_65) != join(meet(X_65,complement(X_65)),complement(join(complement(complement(X_65)),X_65)))
| complement(X_65) = join(zero,complement(join(complement(complement(X_65)),X_65))) ),
inference(resolve,[$cnf( $equal(meet(X_65,complement(X_65)),zero) )],[refute_0_1177,refute_0_1178]) ).
cnf(refute_0_1180,plain,
complement(X_65) = join(zero,complement(join(complement(complement(X_65)),X_65))),
inference(resolve,[$cnf( $equal(complement(X_65),join(meet(X_65,complement(X_65)),complement(join(complement(complement(X_65)),X_65)))) )],[refute_0_1174,refute_0_1179]) ).
cnf(refute_0_1181,plain,
complement(complement(X_65)) = X_65,
inference(subst,[],[refute_0_700:[bind(X_23,$fot(X_65))]]) ).
cnf(refute_0_1182,plain,
join(X_65,complement(complement(X_65))) = join(X_65,complement(complement(X_65))),
introduced(tautology,[refl,[$fot(join(X_65,complement(complement(X_65))))]]) ).
cnf(refute_0_1183,plain,
( complement(complement(X_65)) != X_65
| join(X_65,complement(complement(X_65))) != join(X_65,complement(complement(X_65)))
| join(X_65,complement(complement(X_65))) = join(X_65,X_65) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_65,complement(complement(X_65))),join(X_65,complement(complement(X_65)))) ),[1,1],$fot(X_65)]]) ).
cnf(refute_0_1184,plain,
( complement(complement(X_65)) != X_65
| join(X_65,complement(complement(X_65))) = join(X_65,X_65) ),
inference(resolve,[$cnf( $equal(join(X_65,complement(complement(X_65))),join(X_65,complement(complement(X_65)))) )],[refute_0_1182,refute_0_1183]) ).
cnf(refute_0_1185,plain,
join(X_65,complement(complement(X_65))) = join(X_65,X_65),
inference(resolve,[$cnf( $equal(complement(complement(X_65)),X_65) )],[refute_0_1181,refute_0_1184]) ).
cnf(refute_0_1186,plain,
join(complement(complement(X_65)),X_65) = join(X_65,complement(complement(X_65))),
inference(subst,[],[refute_0_7:[bind(X0,$fot(X_65)),bind(X1,$fot(complement(complement(X_65))))]]) ).
cnf(refute_0_1187,plain,
( join(X_65,complement(complement(X_65))) != join(X_65,X_65)
| join(complement(complement(X_65)),X_65) != join(X_65,complement(complement(X_65)))
| join(complement(complement(X_65)),X_65) = join(X_65,X_65) ),
inference(subst,[],[refute_0_21:[bind(X,$fot(join(complement(complement(X_65)),X_65))),bind(Y,$fot(join(X_65,complement(complement(X_65))))),bind(Z,$fot(join(X_65,X_65)))]]) ).
cnf(refute_0_1188,plain,
( join(X_65,complement(complement(X_65))) != join(X_65,X_65)
| join(complement(complement(X_65)),X_65) = join(X_65,X_65) ),
inference(resolve,[$cnf( $equal(join(complement(complement(X_65)),X_65),join(X_65,complement(complement(X_65)))) )],[refute_0_1186,refute_0_1187]) ).
cnf(refute_0_1189,plain,
join(complement(complement(X_65)),X_65) = join(X_65,X_65),
inference(resolve,[$cnf( $equal(join(X_65,complement(complement(X_65))),join(X_65,X_65)) )],[refute_0_1185,refute_0_1188]) ).
cnf(refute_0_1190,plain,
complement(join(complement(complement(X_65)),X_65)) = complement(join(complement(complement(X_65)),X_65)),
introduced(tautology,[refl,[$fot(complement(join(complement(complement(X_65)),X_65)))]]) ).
cnf(refute_0_1191,plain,
( complement(join(complement(complement(X_65)),X_65)) != complement(join(complement(complement(X_65)),X_65))
| join(complement(complement(X_65)),X_65) != join(X_65,X_65)
| complement(join(complement(complement(X_65)),X_65)) = complement(join(X_65,X_65)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(complement(X_65)),X_65)),complement(join(complement(complement(X_65)),X_65))) ),[1,0],$fot(join(X_65,X_65))]]) ).
cnf(refute_0_1192,plain,
( join(complement(complement(X_65)),X_65) != join(X_65,X_65)
| complement(join(complement(complement(X_65)),X_65)) = complement(join(X_65,X_65)) ),
inference(resolve,[$cnf( $equal(complement(join(complement(complement(X_65)),X_65)),complement(join(complement(complement(X_65)),X_65))) )],[refute_0_1190,refute_0_1191]) ).
cnf(refute_0_1193,plain,
complement(join(complement(complement(X_65)),X_65)) = complement(join(X_65,X_65)),
inference(resolve,[$cnf( $equal(join(complement(complement(X_65)),X_65),join(X_65,X_65)) )],[refute_0_1189,refute_0_1192]) ).
cnf(refute_0_1194,plain,
join(zero,complement(join(complement(complement(X_65)),X_65))) = complement(join(complement(complement(X_65)),X_65)),
inference(subst,[],[refute_0_561:[bind(X_29,$fot(complement(join(complement(complement(X_65)),X_65))))]]) ).
cnf(refute_0_1195,plain,
( complement(join(complement(complement(X_65)),X_65)) != complement(join(X_65,X_65))
| join(zero,complement(join(complement(complement(X_65)),X_65))) != complement(join(complement(complement(X_65)),X_65))
| join(zero,complement(join(complement(complement(X_65)),X_65))) = complement(join(X_65,X_65)) ),
inference(subst,[],[refute_0_21:[bind(X,$fot(join(zero,complement(join(complement(complement(X_65)),X_65))))),bind(Y,$fot(complement(join(complement(complement(X_65)),X_65)))),bind(Z,$fot(complement(join(X_65,X_65))))]]) ).
cnf(refute_0_1196,plain,
( complement(join(complement(complement(X_65)),X_65)) != complement(join(X_65,X_65))
| join(zero,complement(join(complement(complement(X_65)),X_65))) = complement(join(X_65,X_65)) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(complement(complement(X_65)),X_65))),complement(join(complement(complement(X_65)),X_65))) )],[refute_0_1194,refute_0_1195]) ).
cnf(refute_0_1197,plain,
join(zero,complement(join(complement(complement(X_65)),X_65))) = complement(join(X_65,X_65)),
inference(resolve,[$cnf( $equal(complement(join(complement(complement(X_65)),X_65)),complement(join(X_65,X_65))) )],[refute_0_1193,refute_0_1196]) ).
cnf(refute_0_1198,plain,
( complement(X_65) != join(zero,complement(join(complement(complement(X_65)),X_65)))
| join(zero,complement(join(complement(complement(X_65)),X_65))) != complement(join(X_65,X_65))
| complement(X_65) = complement(join(X_65,X_65)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(X_65),complement(join(X_65,X_65))) ),[0],$fot(join(zero,complement(join(complement(complement(X_65)),X_65))))]]) ).
cnf(refute_0_1199,plain,
( complement(X_65) != join(zero,complement(join(complement(complement(X_65)),X_65)))
| complement(X_65) = complement(join(X_65,X_65)) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(complement(complement(X_65)),X_65))),complement(join(X_65,X_65))) )],[refute_0_1197,refute_0_1198]) ).
cnf(refute_0_1200,plain,
complement(X_65) = complement(join(X_65,X_65)),
inference(resolve,[$cnf( $equal(complement(X_65),join(zero,complement(join(complement(complement(X_65)),X_65)))) )],[refute_0_1180,refute_0_1199]) ).
cnf(refute_0_1201,plain,
complement(X_66) = complement(join(X_66,X_66)),
inference(subst,[],[refute_0_1200:[bind(X_65,$fot(X_66))]]) ).
cnf(refute_0_1202,plain,
( complement(X_66) != complement(join(X_66,X_66))
| complement(join(X_66,X_66)) = complement(X_66) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(complement(X_66))),bind(Y,$fot(complement(join(X_66,X_66))))]]) ).
cnf(refute_0_1203,plain,
complement(join(X_66,X_66)) = complement(X_66),
inference(resolve,[$cnf( $equal(complement(X_66),complement(join(X_66,X_66))) )],[refute_0_1201,refute_0_1202]) ).
cnf(refute_0_1204,plain,
( complement(join(X_66,X_66)) != complement(X_66)
| top != join(join(X_66,X_66),complement(join(X_66,X_66)))
| top = join(join(X_66,X_66),complement(X_66)) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(join(X_66,X_66),complement(join(X_66,X_66)))) ),[1,1],$fot(complement(X_66))]]) ).
cnf(refute_0_1205,plain,
( top != join(join(X_66,X_66),complement(join(X_66,X_66)))
| top = join(join(X_66,X_66),complement(X_66)) ),
inference(resolve,[$cnf( $equal(complement(join(X_66,X_66)),complement(X_66)) )],[refute_0_1203,refute_0_1204]) ).
cnf(refute_0_1206,plain,
top = join(join(X_66,X_66),complement(X_66)),
inference(resolve,[$cnf( $equal(top,join(join(X_66,X_66),complement(join(X_66,X_66)))) )],[refute_0_1173,refute_0_1205]) ).
cnf(refute_0_1207,plain,
join(X_66,complement(X_66)) = top,
inference(subst,[],[refute_0_91:[bind(X0,$fot(X_66))]]) ).
cnf(refute_0_1208,plain,
join(X_66,join(X_66,complement(X_66))) = join(X_66,join(X_66,complement(X_66))),
introduced(tautology,[refl,[$fot(join(X_66,join(X_66,complement(X_66))))]]) ).
cnf(refute_0_1209,plain,
( join(X_66,complement(X_66)) != top
| join(X_66,join(X_66,complement(X_66))) != join(X_66,join(X_66,complement(X_66)))
| join(X_66,join(X_66,complement(X_66))) = join(X_66,top) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_66,join(X_66,complement(X_66))),join(X_66,join(X_66,complement(X_66)))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_1210,plain,
( join(X_66,complement(X_66)) != top
| join(X_66,join(X_66,complement(X_66))) = join(X_66,top) ),
inference(resolve,[$cnf( $equal(join(X_66,join(X_66,complement(X_66))),join(X_66,join(X_66,complement(X_66)))) )],[refute_0_1208,refute_0_1209]) ).
cnf(refute_0_1211,plain,
join(X_66,join(X_66,complement(X_66))) = join(X_66,top),
inference(resolve,[$cnf( $equal(join(X_66,complement(X_66)),top) )],[refute_0_1207,refute_0_1210]) ).
cnf(refute_0_1212,plain,
join(join(X_66,X_66),complement(X_66)) = join(X_66,join(X_66,complement(X_66))),
inference(subst,[],[refute_0_131:[bind(X0,$fot(X_66)),bind(X1,$fot(X_66)),bind(X2,$fot(complement(X_66)))]]) ).
cnf(refute_0_1213,plain,
( join(X_66,join(X_66,complement(X_66))) != join(X_66,top)
| join(join(X_66,X_66),complement(X_66)) != join(X_66,join(X_66,complement(X_66)))
| join(join(X_66,X_66),complement(X_66)) = join(X_66,top) ),
inference(subst,[],[refute_0_21:[bind(X,$fot(join(join(X_66,X_66),complement(X_66)))),bind(Y,$fot(join(X_66,join(X_66,complement(X_66))))),bind(Z,$fot(join(X_66,top)))]]) ).
cnf(refute_0_1214,plain,
( join(X_66,join(X_66,complement(X_66))) != join(X_66,top)
| join(join(X_66,X_66),complement(X_66)) = join(X_66,top) ),
inference(resolve,[$cnf( $equal(join(join(X_66,X_66),complement(X_66)),join(X_66,join(X_66,complement(X_66)))) )],[refute_0_1212,refute_0_1213]) ).
cnf(refute_0_1215,plain,
join(join(X_66,X_66),complement(X_66)) = join(X_66,top),
inference(resolve,[$cnf( $equal(join(X_66,join(X_66,complement(X_66))),join(X_66,top)) )],[refute_0_1211,refute_0_1214]) ).
cnf(refute_0_1216,plain,
( join(join(X_66,X_66),complement(X_66)) != join(X_66,top)
| top != join(join(X_66,X_66),complement(X_66))
| top = join(X_66,top) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(join(X_66,X_66),complement(X_66))) ),[1],$fot(join(X_66,top))]]) ).
cnf(refute_0_1217,plain,
( top != join(join(X_66,X_66),complement(X_66))
| top = join(X_66,top) ),
inference(resolve,[$cnf( $equal(join(join(X_66,X_66),complement(X_66)),join(X_66,top)) )],[refute_0_1215,refute_0_1216]) ).
cnf(refute_0_1218,plain,
top = join(X_66,top),
inference(resolve,[$cnf( $equal(top,join(join(X_66,X_66),complement(X_66))) )],[refute_0_1206,refute_0_1217]) ).
cnf(refute_0_1219,plain,
( top != join(X_66,top)
| join(X_66,top) = top ),
inference(subst,[],[refute_0_5:[bind(X,$fot(top)),bind(Y,$fot(join(X_66,top)))]]) ).
cnf(refute_0_1220,plain,
join(X_66,top) = top,
inference(resolve,[$cnf( $equal(top,join(X_66,top)) )],[refute_0_1218,refute_0_1219]) ).
cnf(refute_0_1221,plain,
join(X_108,top) = top,
inference(subst,[],[refute_0_1220:[bind(X_66,$fot(X_108))]]) ).
cnf(refute_0_1222,plain,
composition(join(X_108,top),complement(composition(top,top))) = composition(join(X_108,top),complement(composition(top,top))),
introduced(tautology,[refl,[$fot(composition(join(X_108,top),complement(composition(top,top))))]]) ).
cnf(refute_0_1223,plain,
( composition(join(X_108,top),complement(composition(top,top))) != composition(join(X_108,top),complement(composition(top,top)))
| join(X_108,top) != top
| composition(join(X_108,top),complement(composition(top,top))) = composition(top,complement(composition(top,top))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X_108,top),complement(composition(top,top))),composition(join(X_108,top),complement(composition(top,top)))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_1224,plain,
( join(X_108,top) != top
| composition(join(X_108,top),complement(composition(top,top))) = composition(top,complement(composition(top,top))) ),
inference(resolve,[$cnf( $equal(composition(join(X_108,top),complement(composition(top,top))),composition(join(X_108,top),complement(composition(top,top)))) )],[refute_0_1222,refute_0_1223]) ).
cnf(refute_0_1225,plain,
composition(join(X_108,top),complement(composition(top,top))) = composition(top,complement(composition(top,top))),
inference(resolve,[$cnf( $equal(join(X_108,top),top) )],[refute_0_1221,refute_0_1224]) ).
cnf(refute_0_1226,plain,
( composition(join(X_108,top),complement(composition(top,top))) != composition(top,complement(composition(top,top)))
| composition(top,complement(composition(top,top))) != zero
| composition(join(X_108,top),complement(composition(top,top))) = zero ),
inference(subst,[],[refute_0_21:[bind(X,$fot(composition(join(X_108,top),complement(composition(top,top))))),bind(Y,$fot(composition(top,complement(composition(top,top))))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_1227,plain,
( composition(top,complement(composition(top,top))) != zero
| composition(join(X_108,top),complement(composition(top,top))) = zero ),
inference(resolve,[$cnf( $equal(composition(join(X_108,top),complement(composition(top,top))),composition(top,complement(composition(top,top)))) )],[refute_0_1225,refute_0_1226]) ).
cnf(refute_0_1228,plain,
composition(join(X_108,top),complement(composition(top,top))) = zero,
inference(resolve,[$cnf( $equal(composition(top,complement(composition(top,top))),zero) )],[refute_0_995,refute_0_1227]) ).
cnf(refute_0_1229,plain,
( composition(join(X_108,top),complement(composition(top,top))) != join(composition(X_108,complement(composition(top,top))),zero)
| composition(join(X_108,top),complement(composition(top,top))) != zero
| zero = join(composition(X_108,complement(composition(top,top))),zero) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X_108,top),complement(composition(top,top))),join(composition(X_108,complement(composition(top,top))),zero)) ),[0],$fot(zero)]]) ).
cnf(refute_0_1230,plain,
( composition(join(X_108,top),complement(composition(top,top))) != join(composition(X_108,complement(composition(top,top))),zero)
| zero = join(composition(X_108,complement(composition(top,top))),zero) ),
inference(resolve,[$cnf( $equal(composition(join(X_108,top),complement(composition(top,top))),zero) )],[refute_0_1228,refute_0_1229]) ).
cnf(refute_0_1231,plain,
join(composition(X_108,complement(composition(top,top))),zero) = composition(X_108,complement(composition(top,top))),
inference(subst,[],[refute_0_766:[bind(X_45,$fot(composition(X_108,complement(composition(top,top)))))]]) ).
cnf(refute_0_1232,plain,
( join(composition(X_108,complement(composition(top,top))),zero) != composition(X_108,complement(composition(top,top)))
| zero != join(composition(X_108,complement(composition(top,top))),zero)
| zero = composition(X_108,complement(composition(top,top))) ),
introduced(tautology,[equality,[$cnf( $equal(zero,join(composition(X_108,complement(composition(top,top))),zero)) ),[1],$fot(composition(X_108,complement(composition(top,top))))]]) ).
cnf(refute_0_1233,plain,
( zero != join(composition(X_108,complement(composition(top,top))),zero)
| zero = composition(X_108,complement(composition(top,top))) ),
inference(resolve,[$cnf( $equal(join(composition(X_108,complement(composition(top,top))),zero),composition(X_108,complement(composition(top,top)))) )],[refute_0_1231,refute_0_1232]) ).
cnf(refute_0_1234,plain,
( composition(join(X_108,top),complement(composition(top,top))) != join(composition(X_108,complement(composition(top,top))),zero)
| zero = composition(X_108,complement(composition(top,top))) ),
inference(resolve,[$cnf( $equal(zero,join(composition(X_108,complement(composition(top,top))),zero)) )],[refute_0_1230,refute_0_1233]) ).
cnf(refute_0_1235,plain,
zero = composition(X_108,complement(composition(top,top))),
inference(resolve,[$cnf( $equal(composition(join(X_108,top),complement(composition(top,top))),join(composition(X_108,complement(composition(top,top))),zero)) )],[refute_0_1172,refute_0_1234]) ).
cnf(refute_0_1236,plain,
( zero != composition(X_108,complement(composition(top,top)))
| composition(X_108,complement(composition(top,top))) = zero ),
inference(subst,[],[refute_0_5:[bind(X,$fot(zero)),bind(Y,$fot(composition(X_108,complement(composition(top,top)))))]]) ).
cnf(refute_0_1237,plain,
composition(X_108,complement(composition(top,top))) = zero,
inference(resolve,[$cnf( $equal(zero,composition(X_108,complement(composition(top,top)))) )],[refute_0_1235,refute_0_1236]) ).
cnf(refute_0_1238,plain,
composition(zero,complement(composition(top,top))) = zero,
inference(subst,[],[refute_0_1237:[bind(X_108,$fot(zero))]]) ).
cnf(refute_0_1239,plain,
composition(top,composition(zero,complement(composition(top,top)))) = composition(top,composition(zero,complement(composition(top,top)))),
introduced(tautology,[refl,[$fot(composition(top,composition(zero,complement(composition(top,top)))))]]) ).
cnf(refute_0_1240,plain,
( composition(top,composition(zero,complement(composition(top,top)))) != composition(top,composition(zero,complement(composition(top,top))))
| composition(zero,complement(composition(top,top))) != zero
| composition(top,composition(zero,complement(composition(top,top)))) = composition(top,zero) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,composition(zero,complement(composition(top,top)))),composition(top,composition(zero,complement(composition(top,top))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_1241,plain,
( composition(zero,complement(composition(top,top))) != zero
| composition(top,composition(zero,complement(composition(top,top)))) = composition(top,zero) ),
inference(resolve,[$cnf( $equal(composition(top,composition(zero,complement(composition(top,top)))),composition(top,composition(zero,complement(composition(top,top))))) )],[refute_0_1239,refute_0_1240]) ).
cnf(refute_0_1242,plain,
composition(top,composition(zero,complement(composition(top,top)))) = composition(top,zero),
inference(resolve,[$cnf( $equal(composition(zero,complement(composition(top,top))),zero) )],[refute_0_1238,refute_0_1241]) ).
cnf(refute_0_1243,plain,
composition(join(X_108,top),composition(zero,complement(composition(top,top)))) = composition(join(X_108,top),composition(zero,complement(composition(top,top)))),
introduced(tautology,[refl,[$fot(composition(join(X_108,top),composition(zero,complement(composition(top,top)))))]]) ).
cnf(refute_0_1244,plain,
( composition(join(X_108,top),composition(zero,complement(composition(top,top)))) != composition(join(X_108,top),composition(zero,complement(composition(top,top))))
| join(X_108,top) != top
| composition(join(X_108,top),composition(zero,complement(composition(top,top)))) = composition(top,composition(zero,complement(composition(top,top)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X_108,top),composition(zero,complement(composition(top,top)))),composition(join(X_108,top),composition(zero,complement(composition(top,top))))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_1245,plain,
( join(X_108,top) != top
| composition(join(X_108,top),composition(zero,complement(composition(top,top)))) = composition(top,composition(zero,complement(composition(top,top)))) ),
inference(resolve,[$cnf( $equal(composition(join(X_108,top),composition(zero,complement(composition(top,top)))),composition(join(X_108,top),composition(zero,complement(composition(top,top))))) )],[refute_0_1243,refute_0_1244]) ).
cnf(refute_0_1246,plain,
composition(join(X_108,top),composition(zero,complement(composition(top,top)))) = composition(top,composition(zero,complement(composition(top,top)))),
inference(resolve,[$cnf( $equal(join(X_108,top),top) )],[refute_0_1221,refute_0_1245]) ).
cnf(refute_0_1247,plain,
( composition(join(X_108,top),composition(zero,complement(composition(top,top)))) != composition(top,composition(zero,complement(composition(top,top))))
| composition(top,composition(zero,complement(composition(top,top)))) != composition(top,zero)
| composition(join(X_108,top),composition(zero,complement(composition(top,top)))) = composition(top,zero) ),
inference(subst,[],[refute_0_21:[bind(X,$fot(composition(join(X_108,top),composition(zero,complement(composition(top,top)))))),bind(Y,$fot(composition(top,composition(zero,complement(composition(top,top)))))),bind(Z,$fot(composition(top,zero)))]]) ).
cnf(refute_0_1248,plain,
( composition(top,composition(zero,complement(composition(top,top)))) != composition(top,zero)
| composition(join(X_108,top),composition(zero,complement(composition(top,top)))) = composition(top,zero) ),
inference(resolve,[$cnf( $equal(composition(join(X_108,top),composition(zero,complement(composition(top,top)))),composition(top,composition(zero,complement(composition(top,top))))) )],[refute_0_1246,refute_0_1247]) ).
cnf(refute_0_1249,plain,
composition(join(X_108,top),composition(zero,complement(composition(top,top)))) = composition(top,zero),
inference(resolve,[$cnf( $equal(composition(top,composition(zero,complement(composition(top,top)))),composition(top,zero)) )],[refute_0_1242,refute_0_1248]) ).
cnf(refute_0_1250,plain,
( composition(join(X_108,top),composition(zero,complement(composition(top,top)))) != composition(top,zero)
| composition(join(X_108,top),composition(zero,complement(composition(top,top)))) != join(composition(X_108,composition(zero,complement(composition(top,top)))),composition(zero,zero))
| composition(top,zero) = join(composition(X_108,composition(zero,complement(composition(top,top)))),composition(zero,zero)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X_108,top),composition(zero,complement(composition(top,top)))),join(composition(X_108,composition(zero,complement(composition(top,top)))),composition(zero,zero))) ),[0],$fot(composition(top,zero))]]) ).
cnf(refute_0_1251,plain,
( composition(join(X_108,top),composition(zero,complement(composition(top,top)))) != join(composition(X_108,composition(zero,complement(composition(top,top)))),composition(zero,zero))
| composition(top,zero) = join(composition(X_108,composition(zero,complement(composition(top,top)))),composition(zero,zero)) ),
inference(resolve,[$cnf( $equal(composition(join(X_108,top),composition(zero,complement(composition(top,top)))),composition(top,zero)) )],[refute_0_1249,refute_0_1250]) ).
cnf(refute_0_1252,plain,
join(zero,X_108) = X_108,
inference(subst,[],[refute_0_561:[bind(X_29,$fot(X_108))]]) ).
cnf(refute_0_1253,plain,
composition(join(zero,X_108),zero) = composition(join(zero,X_108),zero),
introduced(tautology,[refl,[$fot(composition(join(zero,X_108),zero))]]) ).
cnf(refute_0_1254,plain,
( composition(join(zero,X_108),zero) != composition(join(zero,X_108),zero)
| join(zero,X_108) != X_108
| composition(join(zero,X_108),zero) = composition(X_108,zero) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(zero,X_108),zero),composition(join(zero,X_108),zero)) ),[1,0],$fot(X_108)]]) ).
cnf(refute_0_1255,plain,
( join(zero,X_108) != X_108
| composition(join(zero,X_108),zero) = composition(X_108,zero) ),
inference(resolve,[$cnf( $equal(composition(join(zero,X_108),zero),composition(join(zero,X_108),zero)) )],[refute_0_1253,refute_0_1254]) ).
cnf(refute_0_1256,plain,
composition(join(zero,X_108),zero) = composition(X_108,zero),
inference(resolve,[$cnf( $equal(join(zero,X_108),X_108) )],[refute_0_1252,refute_0_1255]) ).
cnf(refute_0_1257,plain,
( composition(join(X0,X1),X2) != join(composition(X0,X2),composition(X1,X2))
| join(composition(X0,X2),composition(X1,X2)) = composition(join(X0,X1),X2) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(composition(join(X0,X1),X2))),bind(Y,$fot(join(composition(X0,X2),composition(X1,X2))))]]) ).
cnf(refute_0_1258,plain,
join(composition(X0,X2),composition(X1,X2)) = composition(join(X0,X1),X2),
inference(resolve,[$cnf( $equal(composition(join(X0,X1),X2),join(composition(X0,X2),composition(X1,X2))) )],[refute_0_1130,refute_0_1257]) ).
cnf(refute_0_1259,plain,
join(composition(zero,zero),composition(X_108,zero)) = composition(join(zero,X_108),zero),
inference(subst,[],[refute_0_1258:[bind(X0,$fot(zero)),bind(X1,$fot(X_108)),bind(X2,$fot(zero))]]) ).
cnf(refute_0_1260,plain,
( composition(join(zero,X_108),zero) != composition(X_108,zero)
| join(composition(zero,zero),composition(X_108,zero)) != composition(join(zero,X_108),zero)
| join(composition(zero,zero),composition(X_108,zero)) = composition(X_108,zero) ),
inference(subst,[],[refute_0_21:[bind(X,$fot(join(composition(zero,zero),composition(X_108,zero)))),bind(Y,$fot(composition(join(zero,X_108),zero))),bind(Z,$fot(composition(X_108,zero)))]]) ).
cnf(refute_0_1261,plain,
( composition(join(zero,X_108),zero) != composition(X_108,zero)
| join(composition(zero,zero),composition(X_108,zero)) = composition(X_108,zero) ),
inference(resolve,[$cnf( $equal(join(composition(zero,zero),composition(X_108,zero)),composition(join(zero,X_108),zero)) )],[refute_0_1259,refute_0_1260]) ).
cnf(refute_0_1262,plain,
join(composition(zero,zero),composition(X_108,zero)) = composition(X_108,zero),
inference(resolve,[$cnf( $equal(composition(join(zero,X_108),zero),composition(X_108,zero)) )],[refute_0_1256,refute_0_1261]) ).
cnf(refute_0_1263,plain,
composition(X_108,composition(zero,complement(composition(top,top)))) = composition(X_108,composition(zero,complement(composition(top,top)))),
introduced(tautology,[refl,[$fot(composition(X_108,composition(zero,complement(composition(top,top)))))]]) ).
cnf(refute_0_1264,plain,
( composition(X_108,composition(zero,complement(composition(top,top)))) != composition(X_108,composition(zero,complement(composition(top,top))))
| composition(zero,complement(composition(top,top))) != zero
| composition(X_108,composition(zero,complement(composition(top,top)))) = composition(X_108,zero) ),
introduced(tautology,[equality,[$cnf( $equal(composition(X_108,composition(zero,complement(composition(top,top)))),composition(X_108,composition(zero,complement(composition(top,top))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_1265,plain,
( composition(zero,complement(composition(top,top))) != zero
| composition(X_108,composition(zero,complement(composition(top,top)))) = composition(X_108,zero) ),
inference(resolve,[$cnf( $equal(composition(X_108,composition(zero,complement(composition(top,top)))),composition(X_108,composition(zero,complement(composition(top,top))))) )],[refute_0_1263,refute_0_1264]) ).
cnf(refute_0_1266,plain,
composition(X_108,composition(zero,complement(composition(top,top)))) = composition(X_108,zero),
inference(resolve,[$cnf( $equal(composition(zero,complement(composition(top,top))),zero) )],[refute_0_1238,refute_0_1265]) ).
cnf(refute_0_1267,plain,
join(composition(zero,zero),composition(X_108,composition(zero,complement(composition(top,top))))) = join(composition(zero,zero),composition(X_108,composition(zero,complement(composition(top,top))))),
introduced(tautology,[refl,[$fot(join(composition(zero,zero),composition(X_108,composition(zero,complement(composition(top,top))))))]]) ).
cnf(refute_0_1268,plain,
( composition(X_108,composition(zero,complement(composition(top,top)))) != composition(X_108,zero)
| join(composition(zero,zero),composition(X_108,composition(zero,complement(composition(top,top))))) != join(composition(zero,zero),composition(X_108,composition(zero,complement(composition(top,top)))))
| join(composition(zero,zero),composition(X_108,composition(zero,complement(composition(top,top))))) = join(composition(zero,zero),composition(X_108,zero)) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(zero,zero),composition(X_108,composition(zero,complement(composition(top,top))))),join(composition(zero,zero),composition(X_108,composition(zero,complement(composition(top,top)))))) ),[1,1],$fot(composition(X_108,zero))]]) ).
cnf(refute_0_1269,plain,
( composition(X_108,composition(zero,complement(composition(top,top)))) != composition(X_108,zero)
| join(composition(zero,zero),composition(X_108,composition(zero,complement(composition(top,top))))) = join(composition(zero,zero),composition(X_108,zero)) ),
inference(resolve,[$cnf( $equal(join(composition(zero,zero),composition(X_108,composition(zero,complement(composition(top,top))))),join(composition(zero,zero),composition(X_108,composition(zero,complement(composition(top,top)))))) )],[refute_0_1267,refute_0_1268]) ).
cnf(refute_0_1270,plain,
join(composition(zero,zero),composition(X_108,composition(zero,complement(composition(top,top))))) = join(composition(zero,zero),composition(X_108,zero)),
inference(resolve,[$cnf( $equal(composition(X_108,composition(zero,complement(composition(top,top)))),composition(X_108,zero)) )],[refute_0_1266,refute_0_1269]) ).
cnf(refute_0_1271,plain,
( join(composition(zero,zero),composition(X_108,composition(zero,complement(composition(top,top))))) != join(composition(zero,zero),composition(X_108,zero))
| join(composition(zero,zero),composition(X_108,zero)) != composition(X_108,zero)
| join(composition(zero,zero),composition(X_108,composition(zero,complement(composition(top,top))))) = composition(X_108,zero) ),
inference(subst,[],[refute_0_21:[bind(X,$fot(join(composition(zero,zero),composition(X_108,composition(zero,complement(composition(top,top))))))),bind(Y,$fot(join(composition(zero,zero),composition(X_108,zero)))),bind(Z,$fot(composition(X_108,zero)))]]) ).
cnf(refute_0_1272,plain,
( join(composition(zero,zero),composition(X_108,zero)) != composition(X_108,zero)
| join(composition(zero,zero),composition(X_108,composition(zero,complement(composition(top,top))))) = composition(X_108,zero) ),
inference(resolve,[$cnf( $equal(join(composition(zero,zero),composition(X_108,composition(zero,complement(composition(top,top))))),join(composition(zero,zero),composition(X_108,zero))) )],[refute_0_1270,refute_0_1271]) ).
cnf(refute_0_1273,plain,
join(composition(zero,zero),composition(X_108,composition(zero,complement(composition(top,top))))) = composition(X_108,zero),
inference(resolve,[$cnf( $equal(join(composition(zero,zero),composition(X_108,zero)),composition(X_108,zero)) )],[refute_0_1262,refute_0_1272]) ).
cnf(refute_0_1274,plain,
join(composition(X_108,composition(zero,complement(composition(top,top)))),composition(zero,zero)) = join(composition(zero,zero),composition(X_108,composition(zero,complement(composition(top,top))))),
inference(subst,[],[refute_0_7:[bind(X0,$fot(composition(zero,zero))),bind(X1,$fot(composition(X_108,composition(zero,complement(composition(top,top))))))]]) ).
cnf(refute_0_1275,plain,
( join(composition(X_108,composition(zero,complement(composition(top,top)))),composition(zero,zero)) != join(composition(zero,zero),composition(X_108,composition(zero,complement(composition(top,top)))))
| join(composition(zero,zero),composition(X_108,composition(zero,complement(composition(top,top))))) != composition(X_108,zero)
| join(composition(X_108,composition(zero,complement(composition(top,top)))),composition(zero,zero)) = composition(X_108,zero) ),
inference(subst,[],[refute_0_21:[bind(X,$fot(join(composition(X_108,composition(zero,complement(composition(top,top)))),composition(zero,zero)))),bind(Y,$fot(join(composition(zero,zero),composition(X_108,composition(zero,complement(composition(top,top))))))),bind(Z,$fot(composition(X_108,zero)))]]) ).
cnf(refute_0_1276,plain,
( join(composition(zero,zero),composition(X_108,composition(zero,complement(composition(top,top))))) != composition(X_108,zero)
| join(composition(X_108,composition(zero,complement(composition(top,top)))),composition(zero,zero)) = composition(X_108,zero) ),
inference(resolve,[$cnf( $equal(join(composition(X_108,composition(zero,complement(composition(top,top)))),composition(zero,zero)),join(composition(zero,zero),composition(X_108,composition(zero,complement(composition(top,top)))))) )],[refute_0_1274,refute_0_1275]) ).
cnf(refute_0_1277,plain,
join(composition(X_108,composition(zero,complement(composition(top,top)))),composition(zero,zero)) = composition(X_108,zero),
inference(resolve,[$cnf( $equal(join(composition(zero,zero),composition(X_108,composition(zero,complement(composition(top,top))))),composition(X_108,zero)) )],[refute_0_1273,refute_0_1276]) ).
cnf(refute_0_1278,plain,
( composition(top,zero) != join(composition(X_108,composition(zero,complement(composition(top,top)))),composition(zero,zero))
| join(composition(X_108,composition(zero,complement(composition(top,top)))),composition(zero,zero)) != composition(X_108,zero)
| composition(top,zero) = composition(X_108,zero) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(top,zero),composition(X_108,zero)) ),[0],$fot(join(composition(X_108,composition(zero,complement(composition(top,top)))),composition(zero,zero)))]]) ).
cnf(refute_0_1279,plain,
( composition(top,zero) != join(composition(X_108,composition(zero,complement(composition(top,top)))),composition(zero,zero))
| composition(top,zero) = composition(X_108,zero) ),
inference(resolve,[$cnf( $equal(join(composition(X_108,composition(zero,complement(composition(top,top)))),composition(zero,zero)),composition(X_108,zero)) )],[refute_0_1277,refute_0_1278]) ).
cnf(refute_0_1280,plain,
( composition(join(X_108,top),composition(zero,complement(composition(top,top)))) != join(composition(X_108,composition(zero,complement(composition(top,top)))),composition(zero,zero))
| composition(top,zero) = composition(X_108,zero) ),
inference(resolve,[$cnf( $equal(composition(top,zero),join(composition(X_108,composition(zero,complement(composition(top,top)))),composition(zero,zero))) )],[refute_0_1251,refute_0_1279]) ).
cnf(refute_0_1281,plain,
composition(top,zero) = composition(X_108,zero),
inference(resolve,[$cnf( $equal(composition(join(X_108,top),composition(zero,complement(composition(top,top)))),join(composition(X_108,composition(zero,complement(composition(top,top)))),composition(zero,zero))) )],[refute_0_1168,refute_0_1280]) ).
cnf(refute_0_1282,plain,
( composition(top,zero) != composition(X_108,zero)
| composition(X_108,zero) = composition(top,zero) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(composition(top,zero))),bind(Y,$fot(composition(X_108,zero)))]]) ).
cnf(refute_0_1283,plain,
composition(X_108,zero) = composition(top,zero),
inference(resolve,[$cnf( $equal(composition(top,zero),composition(X_108,zero)) )],[refute_0_1281,refute_0_1282]) ).
cnf(refute_0_1284,plain,
composition(converse(X1),zero) = composition(top,zero),
inference(subst,[],[refute_0_1283:[bind(X_108,$fot(converse(X1)))]]) ).
cnf(refute_0_1285,plain,
( composition(converse(X1),zero) != composition(top,zero)
| converse(composition(zero,X1)) != composition(converse(X1),zero)
| converse(composition(zero,X1)) = composition(top,zero) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(zero,X1)),composition(converse(X1),zero)) ),[1],$fot(composition(top,zero))]]) ).
cnf(refute_0_1286,plain,
( converse(composition(zero,X1)) != composition(converse(X1),zero)
| converse(composition(zero,X1)) = composition(top,zero) ),
inference(resolve,[$cnf( $equal(composition(converse(X1),zero),composition(top,zero)) )],[refute_0_1284,refute_0_1285]) ).
cnf(refute_0_1287,plain,
converse(composition(zero,X1)) = composition(top,zero),
inference(resolve,[$cnf( $equal(converse(composition(zero,X1)),composition(converse(X1),zero)) )],[refute_0_1129,refute_0_1286]) ).
cnf(refute_0_1288,plain,
converse(composition(zero,X_102)) = composition(top,zero),
inference(subst,[],[refute_0_1287:[bind(X1,$fot(X_102))]]) ).
cnf(refute_0_1289,plain,
composition(converse(composition(zero,X_102)),X_103) = composition(converse(composition(zero,X_102)),X_103),
introduced(tautology,[refl,[$fot(composition(converse(composition(zero,X_102)),X_103))]]) ).
cnf(refute_0_1290,plain,
( composition(converse(composition(zero,X_102)),X_103) != composition(converse(composition(zero,X_102)),X_103)
| converse(composition(zero,X_102)) != composition(top,zero)
| composition(converse(composition(zero,X_102)),X_103) = composition(composition(top,zero),X_103) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(composition(zero,X_102)),X_103),composition(converse(composition(zero,X_102)),X_103)) ),[1,0],$fot(composition(top,zero))]]) ).
cnf(refute_0_1291,plain,
( converse(composition(zero,X_102)) != composition(top,zero)
| composition(converse(composition(zero,X_102)),X_103) = composition(composition(top,zero),X_103) ),
inference(resolve,[$cnf( $equal(composition(converse(composition(zero,X_102)),X_103),composition(converse(composition(zero,X_102)),X_103)) )],[refute_0_1289,refute_0_1290]) ).
cnf(refute_0_1292,plain,
composition(converse(composition(zero,X_102)),X_103) = composition(composition(top,zero),X_103),
inference(resolve,[$cnf( $equal(converse(composition(zero,X_102)),composition(top,zero)) )],[refute_0_1288,refute_0_1291]) ).
cnf(refute_0_1293,plain,
( composition(composition(top,zero),X_103) != composition(top,composition(zero,X_103))
| composition(converse(composition(zero,X_102)),X_103) != composition(composition(top,zero),X_103)
| composition(converse(composition(zero,X_102)),X_103) = composition(top,composition(zero,X_103)) ),
inference(subst,[],[refute_0_21:[bind(X,$fot(composition(converse(composition(zero,X_102)),X_103))),bind(Y,$fot(composition(composition(top,zero),X_103))),bind(Z,$fot(composition(top,composition(zero,X_103))))]]) ).
cnf(refute_0_1294,plain,
( composition(composition(top,zero),X_103) != composition(top,composition(zero,X_103))
| composition(converse(composition(zero,X_102)),X_103) = composition(top,composition(zero,X_103)) ),
inference(resolve,[$cnf( $equal(composition(converse(composition(zero,X_102)),X_103),composition(composition(top,zero),X_103)) )],[refute_0_1292,refute_0_1293]) ).
cnf(refute_0_1295,plain,
composition(converse(composition(zero,X_102)),X_103) = composition(top,composition(zero,X_103)),
inference(resolve,[$cnf( $equal(composition(composition(top,zero),X_103),composition(top,composition(zero,X_103))) )],[refute_0_1125,refute_0_1294]) ).
cnf(refute_0_1296,plain,
( composition(converse(X_102),composition(zero,X_103)) != composition(converse(composition(zero,X_102)),X_103)
| composition(converse(composition(zero,X_102)),X_103) != composition(top,composition(zero,X_103))
| composition(converse(X_102),composition(zero,X_103)) = composition(top,composition(zero,X_103)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(converse(X_102),composition(zero,X_103)),composition(top,composition(zero,X_103))) ),[0],$fot(composition(converse(composition(zero,X_102)),X_103))]]) ).
cnf(refute_0_1297,plain,
( composition(converse(X_102),composition(zero,X_103)) != composition(converse(composition(zero,X_102)),X_103)
| composition(converse(X_102),composition(zero,X_103)) = composition(top,composition(zero,X_103)) ),
inference(resolve,[$cnf( $equal(composition(converse(composition(zero,X_102)),X_103),composition(top,composition(zero,X_103))) )],[refute_0_1295,refute_0_1296]) ).
cnf(refute_0_1298,plain,
composition(converse(X_102),composition(zero,X_103)) = composition(top,composition(zero,X_103)),
inference(resolve,[$cnf( $equal(composition(converse(X_102),composition(zero,X_103)),composition(converse(composition(zero,X_102)),X_103)) )],[refute_0_1108,refute_0_1297]) ).
cnf(refute_0_1299,plain,
composition(converse(complement(composition(top,zero))),composition(zero,X_103)) = composition(top,composition(zero,X_103)),
inference(subst,[],[refute_0_1298:[bind(X_102,$fot(complement(composition(top,zero))))]]) ).
cnf(refute_0_1300,plain,
( composition(converse(complement(composition(top,zero))),composition(zero,X_103)) != composition(top,composition(zero,X_103))
| composition(converse(complement(composition(top,zero))),composition(zero,X_103)) != composition(zero,X_103)
| composition(top,composition(zero,X_103)) = composition(zero,X_103) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(complement(composition(top,zero))),composition(zero,X_103)),composition(zero,X_103)) ),[0],$fot(composition(top,composition(zero,X_103)))]]) ).
cnf(refute_0_1301,plain,
( composition(converse(complement(composition(top,zero))),composition(zero,X_103)) != composition(zero,X_103)
| composition(top,composition(zero,X_103)) = composition(zero,X_103) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(composition(top,zero))),composition(zero,X_103)),composition(top,composition(zero,X_103))) )],[refute_0_1299,refute_0_1300]) ).
cnf(refute_0_1302,plain,
composition(top,composition(zero,X_103)) = composition(zero,X_103),
inference(resolve,[$cnf( $equal(composition(converse(complement(composition(top,zero))),composition(zero,X_103)),composition(zero,X_103)) )],[refute_0_1124,refute_0_1301]) ).
cnf(refute_0_1303,plain,
composition(top,composition(zero,composition(complement(composition(top,composition(top,zero))),X2))) = composition(zero,composition(complement(composition(top,composition(top,zero))),X2)),
inference(subst,[],[refute_0_1302:[bind(X_103,$fot(composition(complement(composition(top,composition(top,zero))),X2)))]]) ).
cnf(refute_0_1304,plain,
( composition(top,composition(zero,composition(complement(composition(top,composition(top,zero))),X2))) != composition(zero,X2)
| composition(top,composition(zero,composition(complement(composition(top,composition(top,zero))),X2))) != composition(zero,composition(complement(composition(top,composition(top,zero))),X2))
| composition(zero,composition(complement(composition(top,composition(top,zero))),X2)) = composition(zero,X2) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,composition(zero,composition(complement(composition(top,composition(top,zero))),X2))),composition(zero,X2)) ),[0],$fot(composition(zero,composition(complement(composition(top,composition(top,zero))),X2)))]]) ).
cnf(refute_0_1305,plain,
( composition(top,composition(zero,composition(complement(composition(top,composition(top,zero))),X2))) != composition(zero,X2)
| composition(zero,composition(complement(composition(top,composition(top,zero))),X2)) = composition(zero,X2) ),
inference(resolve,[$cnf( $equal(composition(top,composition(zero,composition(complement(composition(top,composition(top,zero))),X2))),composition(zero,composition(complement(composition(top,composition(top,zero))),X2))) )],[refute_0_1303,refute_0_1304]) ).
cnf(refute_0_1306,plain,
composition(zero,composition(complement(composition(top,composition(top,zero))),X2)) = composition(zero,X2),
inference(resolve,[$cnf( $equal(composition(top,composition(zero,composition(complement(composition(top,composition(top,zero))),X2))),composition(zero,X2)) )],[refute_0_1085,refute_0_1305]) ).
cnf(refute_0_1307,plain,
composition(zero,composition(complement(composition(top,composition(top,zero))),top)) = composition(zero,top),
inference(subst,[],[refute_0_1306:[bind(X2,$fot(top))]]) ).
cnf(refute_0_1308,plain,
( composition(zero,composition(complement(composition(top,composition(top,zero))),top)) != composition(zero,top)
| composition(zero,top) != composition(top,zero)
| composition(zero,composition(complement(composition(top,composition(top,zero))),top)) = composition(top,zero) ),
inference(subst,[],[refute_0_21:[bind(X,$fot(composition(zero,composition(complement(composition(top,composition(top,zero))),top)))),bind(Y,$fot(composition(zero,top))),bind(Z,$fot(composition(top,zero)))]]) ).
cnf(refute_0_1309,plain,
( composition(zero,top) != composition(top,zero)
| composition(zero,composition(complement(composition(top,composition(top,zero))),top)) = composition(top,zero) ),
inference(resolve,[$cnf( $equal(composition(zero,composition(complement(composition(top,composition(top,zero))),top)),composition(zero,top)) )],[refute_0_1307,refute_0_1308]) ).
cnf(refute_0_1310,plain,
composition(zero,composition(complement(composition(top,composition(top,zero))),top)) = composition(top,zero),
inference(resolve,[$cnf( $equal(composition(zero,top),composition(top,zero)) )],[refute_0_1026,refute_0_1309]) ).
cnf(refute_0_1311,plain,
( composition(zero,composition(complement(composition(top,composition(top,zero))),top)) != composition(top,zero)
| composition(zero,composition(complement(composition(top,composition(top,zero))),top)) != zero
| composition(top,zero) = zero ),
introduced(tautology,[equality,[$cnf( $equal(composition(zero,composition(complement(composition(top,composition(top,zero))),top)),zero) ),[0],$fot(composition(top,zero))]]) ).
cnf(refute_0_1312,plain,
( composition(zero,composition(complement(composition(top,composition(top,zero))),top)) != zero
| composition(top,zero) = zero ),
inference(resolve,[$cnf( $equal(composition(zero,composition(complement(composition(top,composition(top,zero))),top)),composition(top,zero)) )],[refute_0_1310,refute_0_1311]) ).
cnf(refute_0_1313,plain,
composition(top,zero) = zero,
inference(resolve,[$cnf( $equal(composition(zero,composition(complement(composition(top,composition(top,zero))),top)),zero) )],[refute_0_1058,refute_0_1312]) ).
cnf(refute_0_1314,plain,
( composition(top,zero) != zero
| join(complement(zero),composition(top,complement(composition(top,zero)))) != complement(zero)
| join(complement(zero),composition(top,complement(zero))) = complement(zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(zero),composition(top,complement(composition(top,zero)))),complement(zero)) ),[0,1,1,0],$fot(zero)]]) ).
cnf(refute_0_1315,plain,
( join(complement(zero),composition(top,complement(composition(top,zero)))) != complement(zero)
| join(complement(zero),composition(top,complement(zero))) = complement(zero) ),
inference(resolve,[$cnf( $equal(composition(top,zero),zero) )],[refute_0_1313,refute_0_1314]) ).
cnf(refute_0_1316,plain,
join(complement(zero),composition(top,complement(zero))) = complement(zero),
inference(resolve,[$cnf( $equal(join(complement(zero),composition(top,complement(composition(top,zero)))),complement(zero)) )],[refute_0_795,refute_0_1315]) ).
cnf(refute_0_1317,plain,
composition(top,complement(zero)) = composition(top,complement(zero)),
introduced(tautology,[refl,[$fot(composition(top,complement(zero)))]]) ).
cnf(refute_0_1318,plain,
( complement(zero) != top
| composition(top,complement(zero)) != composition(top,complement(zero))
| composition(top,complement(zero)) = composition(top,top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,complement(zero)),composition(top,complement(zero))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_1319,plain,
( complement(zero) != top
| composition(top,complement(zero)) = composition(top,top) ),
inference(resolve,[$cnf( $equal(composition(top,complement(zero)),composition(top,complement(zero))) )],[refute_0_1317,refute_0_1318]) ).
cnf(refute_0_1320,plain,
composition(top,complement(zero)) = composition(top,top),
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_240,refute_0_1319]) ).
cnf(refute_0_1321,plain,
join(one,top) = top,
inference(subst,[],[refute_0_1220:[bind(X_66,$fot(one))]]) ).
cnf(refute_0_1322,plain,
composition(join(one,top),complement(zero)) = composition(join(one,top),complement(zero)),
introduced(tautology,[refl,[$fot(composition(join(one,top),complement(zero)))]]) ).
cnf(refute_0_1323,plain,
( composition(join(one,top),complement(zero)) != composition(join(one,top),complement(zero))
| join(one,top) != top
| composition(join(one,top),complement(zero)) = composition(top,complement(zero)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,top),complement(zero)),composition(join(one,top),complement(zero))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_1324,plain,
( join(one,top) != top
| composition(join(one,top),complement(zero)) = composition(top,complement(zero)) ),
inference(resolve,[$cnf( $equal(composition(join(one,top),complement(zero)),composition(join(one,top),complement(zero))) )],[refute_0_1322,refute_0_1323]) ).
cnf(refute_0_1325,plain,
composition(join(one,top),complement(zero)) = composition(top,complement(zero)),
inference(resolve,[$cnf( $equal(join(one,top),top) )],[refute_0_1321,refute_0_1324]) ).
cnf(refute_0_1326,plain,
( composition(join(one,top),complement(zero)) != composition(top,complement(zero))
| composition(top,complement(zero)) != composition(top,top)
| composition(join(one,top),complement(zero)) = composition(top,top) ),
inference(subst,[],[refute_0_21:[bind(X,$fot(composition(join(one,top),complement(zero)))),bind(Y,$fot(composition(top,complement(zero)))),bind(Z,$fot(composition(top,top)))]]) ).
cnf(refute_0_1327,plain,
( composition(top,complement(zero)) != composition(top,top)
| composition(join(one,top),complement(zero)) = composition(top,top) ),
inference(resolve,[$cnf( $equal(composition(join(one,top),complement(zero)),composition(top,complement(zero))) )],[refute_0_1325,refute_0_1326]) ).
cnf(refute_0_1328,plain,
composition(join(one,top),complement(zero)) = composition(top,top),
inference(resolve,[$cnf( $equal(composition(top,complement(zero)),composition(top,top)) )],[refute_0_1320,refute_0_1327]) ).
cnf(refute_0_1329,plain,
join(composition(X_109,X_110),composition(X_108,X_110)) = join(composition(X_108,X_110),composition(X_109,X_110)),
inference(subst,[],[refute_0_2:[bind(X0,$fot(composition(X_109,X_110))),bind(X1,$fot(composition(X_108,X_110)))]]) ).
cnf(refute_0_1330,plain,
composition(join(X_108,X_109),X_110) = join(composition(X_108,X_110),composition(X_109,X_110)),
inference(subst,[],[refute_0_1130:[bind(X0,$fot(X_108)),bind(X1,$fot(X_109)),bind(X2,$fot(X_110))]]) ).
cnf(refute_0_1331,plain,
( composition(join(X_108,X_109),X_110) != join(composition(X_108,X_110),composition(X_109,X_110))
| join(composition(X_108,X_110),composition(X_109,X_110)) = composition(join(X_108,X_109),X_110) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(composition(join(X_108,X_109),X_110))),bind(Y,$fot(join(composition(X_108,X_110),composition(X_109,X_110))))]]) ).
cnf(refute_0_1332,plain,
join(composition(X_108,X_110),composition(X_109,X_110)) = composition(join(X_108,X_109),X_110),
inference(resolve,[$cnf( $equal(composition(join(X_108,X_109),X_110),join(composition(X_108,X_110),composition(X_109,X_110))) )],[refute_0_1330,refute_0_1331]) ).
cnf(refute_0_1333,plain,
( join(composition(X_108,X_110),composition(X_109,X_110)) != composition(join(X_108,X_109),X_110)
| join(composition(X_109,X_110),composition(X_108,X_110)) != join(composition(X_108,X_110),composition(X_109,X_110))
| join(composition(X_109,X_110),composition(X_108,X_110)) = composition(join(X_108,X_109),X_110) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(X_109,X_110),composition(X_108,X_110)),join(composition(X_108,X_110),composition(X_109,X_110))) ),[1],$fot(composition(join(X_108,X_109),X_110))]]) ).
cnf(refute_0_1334,plain,
( join(composition(X_109,X_110),composition(X_108,X_110)) != join(composition(X_108,X_110),composition(X_109,X_110))
| join(composition(X_109,X_110),composition(X_108,X_110)) = composition(join(X_108,X_109),X_110) ),
inference(resolve,[$cnf( $equal(join(composition(X_108,X_110),composition(X_109,X_110)),composition(join(X_108,X_109),X_110)) )],[refute_0_1332,refute_0_1333]) ).
cnf(refute_0_1335,plain,
join(composition(X_109,X_110),composition(X_108,X_110)) = composition(join(X_108,X_109),X_110),
inference(resolve,[$cnf( $equal(join(composition(X_109,X_110),composition(X_108,X_110)),join(composition(X_108,X_110),composition(X_109,X_110))) )],[refute_0_1329,refute_0_1334]) ).
cnf(refute_0_1336,plain,
join(composition(X_109,X_110),composition(X_108,X_110)) = composition(join(X_109,X_108),X_110),
inference(subst,[],[refute_0_1258:[bind(X0,$fot(X_109)),bind(X1,$fot(X_108)),bind(X2,$fot(X_110))]]) ).
cnf(refute_0_1337,plain,
( join(composition(X_109,X_110),composition(X_108,X_110)) != composition(join(X_108,X_109),X_110)
| join(composition(X_109,X_110),composition(X_108,X_110)) != composition(join(X_109,X_108),X_110)
| composition(join(X_109,X_108),X_110) = composition(join(X_108,X_109),X_110) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(X_109,X_110),composition(X_108,X_110)),composition(join(X_108,X_109),X_110)) ),[0],$fot(composition(join(X_109,X_108),X_110))]]) ).
cnf(refute_0_1338,plain,
( join(composition(X_109,X_110),composition(X_108,X_110)) != composition(join(X_108,X_109),X_110)
| composition(join(X_109,X_108),X_110) = composition(join(X_108,X_109),X_110) ),
inference(resolve,[$cnf( $equal(join(composition(X_109,X_110),composition(X_108,X_110)),composition(join(X_109,X_108),X_110)) )],[refute_0_1336,refute_0_1337]) ).
cnf(refute_0_1339,plain,
composition(join(X_109,X_108),X_110) = composition(join(X_108,X_109),X_110),
inference(resolve,[$cnf( $equal(join(composition(X_109,X_110),composition(X_108,X_110)),composition(join(X_108,X_109),X_110)) )],[refute_0_1335,refute_0_1338]) ).
cnf(refute_0_1340,plain,
( composition(join(X_109,X_108),X_110) != composition(join(X_108,X_109),X_110)
| composition(join(X_108,X_109),X_110) = composition(join(X_109,X_108),X_110) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(composition(join(X_109,X_108),X_110))),bind(Y,$fot(composition(join(X_108,X_109),X_110)))]]) ).
cnf(refute_0_1341,plain,
composition(join(X_108,X_109),X_110) = composition(join(X_109,X_108),X_110),
inference(resolve,[$cnf( $equal(composition(join(X_109,X_108),X_110),composition(join(X_108,X_109),X_110)) )],[refute_0_1339,refute_0_1340]) ).
cnf(refute_0_1342,plain,
composition(join(top,one),complement(zero)) = composition(join(one,top),complement(zero)),
inference(subst,[],[refute_0_1341:[bind(X_108,$fot(top)),bind(X_109,$fot(one)),bind(X_110,$fot(complement(zero)))]]) ).
cnf(refute_0_1343,plain,
composition(join(X_108,one),X_110) = join(composition(X_108,X_110),composition(one,X_110)),
inference(subst,[],[refute_0_1130:[bind(X0,$fot(X_108)),bind(X1,$fot(one)),bind(X2,$fot(X_110))]]) ).
cnf(refute_0_1344,plain,
composition(X_54,composition(one,X_56)) = composition(composition(X_54,one),X_56),
inference(subst,[],[refute_0_786:[bind(X0,$fot(X_54)),bind(X1,$fot(one)),bind(X2,$fot(X_56))]]) ).
cnf(refute_0_1345,plain,
composition(X0,one) = X0,
inference(canonicalize,[],[normalize_0_27]) ).
cnf(refute_0_1346,plain,
composition(X_54,one) = X_54,
inference(subst,[],[refute_0_1345:[bind(X0,$fot(X_54))]]) ).
cnf(refute_0_1347,plain,
( composition(X_54,composition(one,X_56)) != composition(composition(X_54,one),X_56)
| composition(X_54,one) != X_54
| composition(X_54,composition(one,X_56)) = composition(X_54,X_56) ),
introduced(tautology,[equality,[$cnf( $equal(composition(X_54,composition(one,X_56)),composition(composition(X_54,one),X_56)) ),[1,0],$fot(X_54)]]) ).
cnf(refute_0_1348,plain,
( composition(X_54,composition(one,X_56)) != composition(composition(X_54,one),X_56)
| composition(X_54,composition(one,X_56)) = composition(X_54,X_56) ),
inference(resolve,[$cnf( $equal(composition(X_54,one),X_54) )],[refute_0_1346,refute_0_1347]) ).
cnf(refute_0_1349,plain,
composition(X_54,composition(one,X_56)) = composition(X_54,X_56),
inference(resolve,[$cnf( $equal(composition(X_54,composition(one,X_56)),composition(composition(X_54,one),X_56)) )],[refute_0_1344,refute_0_1348]) ).
cnf(refute_0_1350,plain,
composition(converse(one),composition(one,X_56)) = composition(converse(one),X_56),
inference(subst,[],[refute_0_1349:[bind(X_54,$fot(converse(one)))]]) ).
cnf(refute_0_1351,plain,
converse(composition(converse(X0),X_11)) = composition(converse(X_11),converse(converse(X0))),
inference(subst,[],[refute_0_788:[bind(X0,$fot(converse(X0))),bind(X1,$fot(X_11))]]) ).
cnf(refute_0_1352,plain,
( converse(composition(converse(X0),X_11)) != composition(converse(X_11),converse(converse(X0)))
| converse(converse(X0)) != X0
| converse(composition(converse(X0),X_11)) = composition(converse(X_11),X0) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(X0),X_11)),composition(converse(X_11),converse(converse(X0)))) ),[1,1],$fot(X0)]]) ).
cnf(refute_0_1353,plain,
( converse(composition(converse(X0),X_11)) != composition(converse(X_11),converse(converse(X0)))
| converse(composition(converse(X0),X_11)) = composition(converse(X_11),X0) ),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_0_61,refute_0_1352]) ).
cnf(refute_0_1354,plain,
converse(composition(converse(X0),X_11)) = composition(converse(X_11),X0),
inference(resolve,[$cnf( $equal(converse(composition(converse(X0),X_11)),composition(converse(X_11),converse(converse(X0)))) )],[refute_0_1351,refute_0_1353]) ).
cnf(refute_0_1355,plain,
converse(composition(converse(X_59),one)) = composition(converse(one),X_59),
inference(subst,[],[refute_0_1354:[bind(X0,$fot(X_59)),bind(X_11,$fot(one))]]) ).
cnf(refute_0_1356,plain,
composition(converse(X_59),one) = converse(X_59),
inference(subst,[],[refute_0_1345:[bind(X0,$fot(converse(X_59)))]]) ).
cnf(refute_0_1357,plain,
( composition(converse(X_59),one) != converse(X_59)
| converse(composition(converse(X_59),one)) != composition(converse(one),X_59)
| converse(converse(X_59)) = composition(converse(one),X_59) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(X_59),one)),composition(converse(one),X_59)) ),[0,0],$fot(converse(X_59))]]) ).
cnf(refute_0_1358,plain,
( converse(composition(converse(X_59),one)) != composition(converse(one),X_59)
| converse(converse(X_59)) = composition(converse(one),X_59) ),
inference(resolve,[$cnf( $equal(composition(converse(X_59),one),converse(X_59)) )],[refute_0_1356,refute_0_1357]) ).
cnf(refute_0_1359,plain,
converse(converse(X_59)) = composition(converse(one),X_59),
inference(resolve,[$cnf( $equal(converse(composition(converse(X_59),one)),composition(converse(one),X_59)) )],[refute_0_1355,refute_0_1358]) ).
cnf(refute_0_1360,plain,
converse(converse(X_59)) = X_59,
inference(subst,[],[refute_0_61:[bind(X0,$fot(X_59))]]) ).
cnf(refute_0_1361,plain,
( converse(converse(X_59)) != X_59
| converse(converse(X_59)) != composition(converse(one),X_59)
| X_59 = composition(converse(one),X_59) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(X_59)),composition(converse(one),X_59)) ),[0],$fot(X_59)]]) ).
cnf(refute_0_1362,plain,
( converse(converse(X_59)) != composition(converse(one),X_59)
| X_59 = composition(converse(one),X_59) ),
inference(resolve,[$cnf( $equal(converse(converse(X_59)),X_59) )],[refute_0_1360,refute_0_1361]) ).
cnf(refute_0_1363,plain,
X_59 = composition(converse(one),X_59),
inference(resolve,[$cnf( $equal(converse(converse(X_59)),composition(converse(one),X_59)) )],[refute_0_1359,refute_0_1362]) ).
cnf(refute_0_1364,plain,
composition(one,X_56) = composition(converse(one),composition(one,X_56)),
inference(subst,[],[refute_0_1363:[bind(X_59,$fot(composition(one,X_56)))]]) ).
cnf(refute_0_1365,plain,
( composition(one,X_56) != composition(converse(one),composition(one,X_56))
| composition(converse(one),composition(one,X_56)) = composition(one,X_56) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(composition(one,X_56))),bind(Y,$fot(composition(converse(one),composition(one,X_56))))]]) ).
cnf(refute_0_1366,plain,
composition(converse(one),composition(one,X_56)) = composition(one,X_56),
inference(resolve,[$cnf( $equal(composition(one,X_56),composition(converse(one),composition(one,X_56))) )],[refute_0_1364,refute_0_1365]) ).
cnf(refute_0_1367,plain,
( composition(converse(one),composition(one,X_56)) != composition(converse(one),X_56)
| composition(converse(one),composition(one,X_56)) != composition(one,X_56)
| composition(one,X_56) = composition(converse(one),X_56) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(one),composition(one,X_56)),composition(converse(one),X_56)) ),[0],$fot(composition(one,X_56))]]) ).
cnf(refute_0_1368,plain,
( composition(converse(one),composition(one,X_56)) != composition(converse(one),X_56)
| composition(one,X_56) = composition(converse(one),X_56) ),
inference(resolve,[$cnf( $equal(composition(converse(one),composition(one,X_56)),composition(one,X_56)) )],[refute_0_1366,refute_0_1367]) ).
cnf(refute_0_1369,plain,
composition(one,X_56) = composition(converse(one),X_56),
inference(resolve,[$cnf( $equal(composition(converse(one),composition(one,X_56)),composition(converse(one),X_56)) )],[refute_0_1350,refute_0_1368]) ).
cnf(refute_0_1370,plain,
( X_59 != composition(converse(one),X_59)
| composition(converse(one),X_59) = X_59 ),
inference(subst,[],[refute_0_5:[bind(X,$fot(X_59)),bind(Y,$fot(composition(converse(one),X_59)))]]) ).
cnf(refute_0_1371,plain,
composition(converse(one),X_59) = X_59,
inference(resolve,[$cnf( $equal(X_59,composition(converse(one),X_59)) )],[refute_0_1363,refute_0_1370]) ).
cnf(refute_0_1372,plain,
composition(converse(one),X_56) = X_56,
inference(subst,[],[refute_0_1371:[bind(X_59,$fot(X_56))]]) ).
cnf(refute_0_1373,plain,
( composition(converse(one),X_56) != X_56
| composition(one,X_56) != composition(converse(one),X_56)
| composition(one,X_56) = X_56 ),
introduced(tautology,[equality,[$cnf( $equal(composition(one,X_56),composition(converse(one),X_56)) ),[1],$fot(X_56)]]) ).
cnf(refute_0_1374,plain,
( composition(one,X_56) != composition(converse(one),X_56)
| composition(one,X_56) = X_56 ),
inference(resolve,[$cnf( $equal(composition(converse(one),X_56),X_56) )],[refute_0_1372,refute_0_1373]) ).
cnf(refute_0_1375,plain,
composition(one,X_56) = X_56,
inference(resolve,[$cnf( $equal(composition(one,X_56),composition(converse(one),X_56)) )],[refute_0_1369,refute_0_1374]) ).
cnf(refute_0_1376,plain,
composition(one,X_110) = X_110,
inference(subst,[],[refute_0_1375:[bind(X_56,$fot(X_110))]]) ).
cnf(refute_0_1377,plain,
( composition(join(X_108,one),X_110) != join(composition(X_108,X_110),composition(one,X_110))
| composition(one,X_110) != X_110
| composition(join(X_108,one),X_110) = join(composition(X_108,X_110),X_110) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X_108,one),X_110),join(composition(X_108,X_110),composition(one,X_110))) ),[1,1],$fot(X_110)]]) ).
cnf(refute_0_1378,plain,
( composition(join(X_108,one),X_110) != join(composition(X_108,X_110),composition(one,X_110))
| composition(join(X_108,one),X_110) = join(composition(X_108,X_110),X_110) ),
inference(resolve,[$cnf( $equal(composition(one,X_110),X_110) )],[refute_0_1376,refute_0_1377]) ).
cnf(refute_0_1379,plain,
composition(join(X_108,one),X_110) = join(composition(X_108,X_110),X_110),
inference(resolve,[$cnf( $equal(composition(join(X_108,one),X_110),join(composition(X_108,X_110),composition(one,X_110))) )],[refute_0_1343,refute_0_1378]) ).
cnf(refute_0_1380,plain,
join(composition(X_108,X_110),X_110) = join(X_110,composition(X_108,X_110)),
inference(subst,[],[refute_0_7:[bind(X0,$fot(X_110)),bind(X1,$fot(composition(X_108,X_110)))]]) ).
cnf(refute_0_1381,plain,
( composition(join(X_108,one),X_110) != join(composition(X_108,X_110),X_110)
| join(composition(X_108,X_110),X_110) != join(X_110,composition(X_108,X_110))
| composition(join(X_108,one),X_110) = join(X_110,composition(X_108,X_110)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(X_108,one),X_110),join(X_110,composition(X_108,X_110))) ),[0],$fot(join(composition(X_108,X_110),X_110))]]) ).
cnf(refute_0_1382,plain,
( composition(join(X_108,one),X_110) != join(composition(X_108,X_110),X_110)
| composition(join(X_108,one),X_110) = join(X_110,composition(X_108,X_110)) ),
inference(resolve,[$cnf( $equal(join(composition(X_108,X_110),X_110),join(X_110,composition(X_108,X_110))) )],[refute_0_1380,refute_0_1381]) ).
cnf(refute_0_1383,plain,
composition(join(X_108,one),X_110) = join(X_110,composition(X_108,X_110)),
inference(resolve,[$cnf( $equal(composition(join(X_108,one),X_110),join(composition(X_108,X_110),X_110)) )],[refute_0_1379,refute_0_1382]) ).
cnf(refute_0_1384,plain,
( composition(join(X_108,one),X_110) != join(X_110,composition(X_108,X_110))
| join(X_110,composition(X_108,X_110)) = composition(join(X_108,one),X_110) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(composition(join(X_108,one),X_110))),bind(Y,$fot(join(X_110,composition(X_108,X_110))))]]) ).
cnf(refute_0_1385,plain,
join(X_110,composition(X_108,X_110)) = composition(join(X_108,one),X_110),
inference(resolve,[$cnf( $equal(composition(join(X_108,one),X_110),join(X_110,composition(X_108,X_110))) )],[refute_0_1383,refute_0_1384]) ).
cnf(refute_0_1386,plain,
join(complement(zero),composition(top,complement(zero))) = composition(join(top,one),complement(zero)),
inference(subst,[],[refute_0_1385:[bind(X_108,$fot(top)),bind(X_110,$fot(complement(zero)))]]) ).
cnf(refute_0_1387,plain,
( composition(join(top,one),complement(zero)) != composition(join(one,top),complement(zero))
| join(complement(zero),composition(top,complement(zero))) != composition(join(top,one),complement(zero))
| join(complement(zero),composition(top,complement(zero))) = composition(join(one,top),complement(zero)) ),
inference(subst,[],[refute_0_21:[bind(X,$fot(join(complement(zero),composition(top,complement(zero))))),bind(Y,$fot(composition(join(top,one),complement(zero)))),bind(Z,$fot(composition(join(one,top),complement(zero))))]]) ).
cnf(refute_0_1388,plain,
( composition(join(top,one),complement(zero)) != composition(join(one,top),complement(zero))
| join(complement(zero),composition(top,complement(zero))) = composition(join(one,top),complement(zero)) ),
inference(resolve,[$cnf( $equal(join(complement(zero),composition(top,complement(zero))),composition(join(top,one),complement(zero))) )],[refute_0_1386,refute_0_1387]) ).
cnf(refute_0_1389,plain,
join(complement(zero),composition(top,complement(zero))) = composition(join(one,top),complement(zero)),
inference(resolve,[$cnf( $equal(composition(join(top,one),complement(zero)),composition(join(one,top),complement(zero))) )],[refute_0_1342,refute_0_1388]) ).
cnf(refute_0_1390,plain,
( composition(join(one,top),complement(zero)) != composition(top,top)
| join(complement(zero),composition(top,complement(zero))) != composition(join(one,top),complement(zero))
| join(complement(zero),composition(top,complement(zero))) = composition(top,top) ),
inference(subst,[],[refute_0_21:[bind(X,$fot(join(complement(zero),composition(top,complement(zero))))),bind(Y,$fot(composition(join(one,top),complement(zero)))),bind(Z,$fot(composition(top,top)))]]) ).
cnf(refute_0_1391,plain,
( composition(join(one,top),complement(zero)) != composition(top,top)
| join(complement(zero),composition(top,complement(zero))) = composition(top,top) ),
inference(resolve,[$cnf( $equal(join(complement(zero),composition(top,complement(zero))),composition(join(one,top),complement(zero))) )],[refute_0_1389,refute_0_1390]) ).
cnf(refute_0_1392,plain,
join(complement(zero),composition(top,complement(zero))) = composition(top,top),
inference(resolve,[$cnf( $equal(composition(join(one,top),complement(zero)),composition(top,top)) )],[refute_0_1328,refute_0_1391]) ).
cnf(refute_0_1393,plain,
( join(complement(zero),composition(top,complement(zero))) != complement(zero)
| join(complement(zero),composition(top,complement(zero))) != composition(top,top)
| composition(top,top) = complement(zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(zero),composition(top,complement(zero))),complement(zero)) ),[0],$fot(composition(top,top))]]) ).
cnf(refute_0_1394,plain,
( join(complement(zero),composition(top,complement(zero))) != complement(zero)
| composition(top,top) = complement(zero) ),
inference(resolve,[$cnf( $equal(join(complement(zero),composition(top,complement(zero))),composition(top,top)) )],[refute_0_1392,refute_0_1393]) ).
cnf(refute_0_1395,plain,
( complement(zero) != top
| composition(top,top) != complement(zero)
| composition(top,top) = top ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,top),complement(zero)) ),[1],$fot(top)]]) ).
cnf(refute_0_1396,plain,
( composition(top,top) != complement(zero)
| composition(top,top) = top ),
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_240,refute_0_1395]) ).
cnf(refute_0_1397,plain,
( join(complement(zero),composition(top,complement(zero))) != complement(zero)
| composition(top,top) = top ),
inference(resolve,[$cnf( $equal(composition(top,top),complement(zero)) )],[refute_0_1394,refute_0_1396]) ).
cnf(refute_0_1398,plain,
composition(top,top) = top,
inference(resolve,[$cnf( $equal(join(complement(zero),composition(top,complement(zero))),complement(zero)) )],[refute_0_1316,refute_0_1397]) ).
cnf(refute_0_1399,plain,
( composition(converse(top),composition(converse(top),X_56)) != composition(converse(composition(top,top)),X_56)
| composition(top,top) != top
| composition(converse(top),composition(converse(top),X_56)) = composition(converse(top),X_56) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(top),composition(converse(top),X_56)),composition(converse(composition(top,top)),X_56)) ),[1,0,0],$fot(top)]]) ).
cnf(refute_0_1400,plain,
( composition(converse(top),composition(converse(top),X_56)) != composition(converse(composition(top,top)),X_56)
| composition(converse(top),composition(converse(top),X_56)) = composition(converse(top),X_56) ),
inference(resolve,[$cnf( $equal(composition(top,top),top) )],[refute_0_1398,refute_0_1399]) ).
cnf(refute_0_1401,plain,
composition(converse(top),composition(converse(top),X_56)) = composition(converse(top),X_56),
inference(resolve,[$cnf( $equal(composition(converse(top),composition(converse(top),X_56)),composition(converse(composition(top,top)),X_56)) )],[refute_0_794,refute_0_1400]) ).
cnf(refute_0_1402,plain,
composition(converse(top),X_56) = composition(converse(top),X_56),
introduced(tautology,[refl,[$fot(composition(converse(top),X_56))]]) ).
cnf(refute_0_1403,plain,
( composition(converse(top),X_56) != composition(converse(top),X_56)
| converse(top) != top
| composition(converse(top),X_56) = composition(top,X_56) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(top),X_56),composition(converse(top),X_56)) ),[1,0],$fot(top)]]) ).
cnf(refute_0_1404,plain,
( converse(top) != top
| composition(converse(top),X_56) = composition(top,X_56) ),
inference(resolve,[$cnf( $equal(composition(converse(top),X_56),composition(converse(top),X_56)) )],[refute_0_1402,refute_0_1403]) ).
cnf(refute_0_1405,plain,
composition(converse(top),X_56) = composition(top,X_56),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_467,refute_0_1404]) ).
cnf(refute_0_1406,plain,
composition(top,composition(converse(top),X_56)) = composition(top,composition(converse(top),X_56)),
introduced(tautology,[refl,[$fot(composition(top,composition(converse(top),X_56)))]]) ).
cnf(refute_0_1407,plain,
( composition(converse(top),X_56) != composition(top,X_56)
| composition(top,composition(converse(top),X_56)) != composition(top,composition(converse(top),X_56))
| composition(top,composition(converse(top),X_56)) = composition(top,composition(top,X_56)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,composition(converse(top),X_56)),composition(top,composition(converse(top),X_56))) ),[1,1],$fot(composition(top,X_56))]]) ).
cnf(refute_0_1408,plain,
( composition(converse(top),X_56) != composition(top,X_56)
| composition(top,composition(converse(top),X_56)) = composition(top,composition(top,X_56)) ),
inference(resolve,[$cnf( $equal(composition(top,composition(converse(top),X_56)),composition(top,composition(converse(top),X_56))) )],[refute_0_1406,refute_0_1407]) ).
cnf(refute_0_1409,plain,
composition(top,composition(converse(top),X_56)) = composition(top,composition(top,X_56)),
inference(resolve,[$cnf( $equal(composition(converse(top),X_56),composition(top,X_56)) )],[refute_0_1405,refute_0_1408]) ).
cnf(refute_0_1410,plain,
composition(converse(top),composition(converse(X_101),X_103)) = composition(converse(composition(X_101,top)),X_103),
inference(subst,[],[refute_0_793:[bind(X0,$fot(X_101)),bind(X1,$fot(top)),bind(X_56,$fot(X_103))]]) ).
cnf(refute_0_1411,plain,
( composition(converse(top),composition(converse(X_101),X_103)) != composition(converse(composition(X_101,top)),X_103)
| converse(top) != top
| composition(top,composition(converse(X_101),X_103)) = composition(converse(composition(X_101,top)),X_103) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(top),composition(converse(X_101),X_103)),composition(converse(composition(X_101,top)),X_103)) ),[0,0],$fot(top)]]) ).
cnf(refute_0_1412,plain,
( composition(converse(top),composition(converse(X_101),X_103)) != composition(converse(composition(X_101,top)),X_103)
| composition(top,composition(converse(X_101),X_103)) = composition(converse(composition(X_101,top)),X_103) ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_467,refute_0_1411]) ).
cnf(refute_0_1413,plain,
composition(top,composition(converse(X_101),X_103)) = composition(converse(composition(X_101,top)),X_103),
inference(resolve,[$cnf( $equal(composition(converse(top),composition(converse(X_101),X_103)),composition(converse(composition(X_101,top)),X_103)) )],[refute_0_1410,refute_0_1412]) ).
cnf(refute_0_1414,plain,
( composition(top,composition(converse(X_101),X_103)) != composition(converse(composition(X_101,top)),X_103)
| composition(converse(composition(X_101,top)),X_103) = composition(top,composition(converse(X_101),X_103)) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(composition(top,composition(converse(X_101),X_103)))),bind(Y,$fot(composition(converse(composition(X_101,top)),X_103)))]]) ).
cnf(refute_0_1415,plain,
composition(converse(composition(X_101,top)),X_103) = composition(top,composition(converse(X_101),X_103)),
inference(resolve,[$cnf( $equal(composition(top,composition(converse(X_101),X_103)),composition(converse(composition(X_101,top)),X_103)) )],[refute_0_1413,refute_0_1414]) ).
cnf(refute_0_1416,plain,
composition(converse(composition(top,top)),X_56) = composition(top,composition(converse(top),X_56)),
inference(subst,[],[refute_0_1415:[bind(X_101,$fot(top)),bind(X_103,$fot(X_56))]]) ).
cnf(refute_0_1417,plain,
( composition(converse(composition(top,top)),X_56) != composition(top,composition(converse(top),X_56))
| composition(converse(top),composition(converse(top),X_56)) != composition(converse(composition(top,top)),X_56)
| composition(converse(top),composition(converse(top),X_56)) = composition(top,composition(converse(top),X_56)) ),
inference(subst,[],[refute_0_21:[bind(X,$fot(composition(converse(top),composition(converse(top),X_56)))),bind(Y,$fot(composition(converse(composition(top,top)),X_56))),bind(Z,$fot(composition(top,composition(converse(top),X_56))))]]) ).
cnf(refute_0_1418,plain,
( composition(converse(composition(top,top)),X_56) != composition(top,composition(converse(top),X_56))
| composition(converse(top),composition(converse(top),X_56)) = composition(top,composition(converse(top),X_56)) ),
inference(resolve,[$cnf( $equal(composition(converse(top),composition(converse(top),X_56)),composition(converse(composition(top,top)),X_56)) )],[refute_0_794,refute_0_1417]) ).
cnf(refute_0_1419,plain,
composition(converse(top),composition(converse(top),X_56)) = composition(top,composition(converse(top),X_56)),
inference(resolve,[$cnf( $equal(composition(converse(composition(top,top)),X_56),composition(top,composition(converse(top),X_56))) )],[refute_0_1416,refute_0_1418]) ).
cnf(refute_0_1420,plain,
( composition(converse(top),composition(converse(top),X_56)) != composition(top,composition(converse(top),X_56))
| composition(top,composition(converse(top),X_56)) != composition(top,composition(top,X_56))
| composition(converse(top),composition(converse(top),X_56)) = composition(top,composition(top,X_56)) ),
inference(subst,[],[refute_0_21:[bind(X,$fot(composition(converse(top),composition(converse(top),X_56)))),bind(Y,$fot(composition(top,composition(converse(top),X_56)))),bind(Z,$fot(composition(top,composition(top,X_56))))]]) ).
cnf(refute_0_1421,plain,
( composition(top,composition(converse(top),X_56)) != composition(top,composition(top,X_56))
| composition(converse(top),composition(converse(top),X_56)) = composition(top,composition(top,X_56)) ),
inference(resolve,[$cnf( $equal(composition(converse(top),composition(converse(top),X_56)),composition(top,composition(converse(top),X_56))) )],[refute_0_1419,refute_0_1420]) ).
cnf(refute_0_1422,plain,
composition(converse(top),composition(converse(top),X_56)) = composition(top,composition(top,X_56)),
inference(resolve,[$cnf( $equal(composition(top,composition(converse(top),X_56)),composition(top,composition(top,X_56))) )],[refute_0_1409,refute_0_1421]) ).
cnf(refute_0_1423,plain,
( composition(converse(top),composition(converse(top),X_56)) != composition(converse(top),X_56)
| composition(converse(top),composition(converse(top),X_56)) != composition(top,composition(top,X_56))
| composition(top,composition(top,X_56)) = composition(converse(top),X_56) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(top),composition(converse(top),X_56)),composition(converse(top),X_56)) ),[0],$fot(composition(top,composition(top,X_56)))]]) ).
cnf(refute_0_1424,plain,
( composition(converse(top),composition(converse(top),X_56)) != composition(converse(top),X_56)
| composition(top,composition(top,X_56)) = composition(converse(top),X_56) ),
inference(resolve,[$cnf( $equal(composition(converse(top),composition(converse(top),X_56)),composition(top,composition(top,X_56))) )],[refute_0_1422,refute_0_1423]) ).
cnf(refute_0_1425,plain,
( composition(converse(top),X_56) != composition(top,X_56)
| composition(top,composition(top,X_56)) != composition(converse(top),X_56)
| composition(top,composition(top,X_56)) = composition(top,X_56) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,composition(top,X_56)),composition(converse(top),X_56)) ),[1],$fot(composition(top,X_56))]]) ).
cnf(refute_0_1426,plain,
( composition(top,composition(top,X_56)) != composition(converse(top),X_56)
| composition(top,composition(top,X_56)) = composition(top,X_56) ),
inference(resolve,[$cnf( $equal(composition(converse(top),X_56),composition(top,X_56)) )],[refute_0_1405,refute_0_1425]) ).
cnf(refute_0_1427,plain,
( composition(converse(top),composition(converse(top),X_56)) != composition(converse(top),X_56)
| composition(top,composition(top,X_56)) = composition(top,X_56) ),
inference(resolve,[$cnf( $equal(composition(top,composition(top,X_56)),composition(converse(top),X_56)) )],[refute_0_1424,refute_0_1426]) ).
cnf(refute_0_1428,plain,
composition(top,composition(top,X_56)) = composition(top,X_56),
inference(resolve,[$cnf( $equal(composition(converse(top),composition(converse(top),X_56)),composition(converse(top),X_56)) )],[refute_0_1401,refute_0_1427]) ).
cnf(refute_0_1429,plain,
composition(top,composition(top,X_115)) = composition(top,X_115),
inference(subst,[],[refute_0_1428:[bind(X_56,$fot(X_115))]]) ).
cnf(refute_0_1430,plain,
( composition(top,composition(top,X_115)) != composition(top,X_115)
| join(complement(composition(top,X_115)),composition(converse(top),complement(composition(top,composition(top,X_115))))) != complement(composition(top,X_115))
| join(complement(composition(top,X_115)),composition(converse(top),complement(composition(top,X_115)))) = complement(composition(top,X_115)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(composition(top,X_115)),composition(converse(top),complement(composition(top,composition(top,X_115))))),complement(composition(top,X_115))) ),[0,1,1,0],$fot(composition(top,X_115))]]) ).
cnf(refute_0_1431,plain,
( join(complement(composition(top,X_115)),composition(converse(top),complement(composition(top,composition(top,X_115))))) != complement(composition(top,X_115))
| join(complement(composition(top,X_115)),composition(converse(top),complement(composition(top,X_115)))) = complement(composition(top,X_115)) ),
inference(resolve,[$cnf( $equal(composition(top,composition(top,X_115)),composition(top,X_115)) )],[refute_0_1429,refute_0_1430]) ).
cnf(refute_0_1432,plain,
join(complement(composition(top,X_115)),composition(converse(top),complement(composition(top,X_115)))) = complement(composition(top,X_115)),
inference(resolve,[$cnf( $equal(join(complement(composition(top,X_115)),composition(converse(top),complement(composition(top,composition(top,X_115))))),complement(composition(top,X_115))) )],[refute_0_785,refute_0_1431]) ).
cnf(refute_0_1433,plain,
converse(join(one,top)) = converse(join(one,top)),
introduced(tautology,[refl,[$fot(converse(join(one,top)))]]) ).
cnf(refute_0_1434,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_1435,plain,
( join(one,top) != top
| converse(join(one,top)) = converse(top) ),
inference(resolve,[$cnf( $equal(converse(join(one,top)),converse(join(one,top))) )],[refute_0_1433,refute_0_1434]) ).
cnf(refute_0_1436,plain,
converse(join(one,top)) = converse(top),
inference(resolve,[$cnf( $equal(join(one,top),top) )],[refute_0_1321,refute_0_1435]) ).
cnf(refute_0_1437,plain,
( converse(join(one,top)) != converse(top)
| converse(top) != top
| converse(join(one,top)) = top ),
inference(subst,[],[refute_0_21:[bind(X,$fot(converse(join(one,top)))),bind(Y,$fot(converse(top))),bind(Z,$fot(top))]]) ).
cnf(refute_0_1438,plain,
( converse(top) != top
| converse(join(one,top)) = top ),
inference(resolve,[$cnf( $equal(converse(join(one,top)),converse(top)) )],[refute_0_1436,refute_0_1437]) ).
cnf(refute_0_1439,plain,
converse(join(one,top)) = top,
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_467,refute_0_1438]) ).
cnf(refute_0_1440,plain,
converse(join(converse(one),X_5)) = join(one,converse(X_5)),
inference(subst,[],[refute_0_64:[bind(X0,$fot(one))]]) ).
cnf(refute_0_1441,plain,
composition(converse(one),one) = converse(one),
inference(subst,[],[refute_0_1345:[bind(X0,$fot(converse(one)))]]) ).
cnf(refute_0_1442,plain,
one = composition(converse(one),one),
inference(subst,[],[refute_0_1363:[bind(X_59,$fot(one))]]) ).
cnf(refute_0_1443,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_1444,plain,
composition(converse(one),one) = one,
inference(resolve,[$cnf( $equal(one,composition(converse(one),one)) )],[refute_0_1442,refute_0_1443]) ).
cnf(refute_0_1445,plain,
( composition(converse(one),one) != converse(one)
| composition(converse(one),one) != one
| one = converse(one) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(one),one),converse(one)) ),[0],$fot(one)]]) ).
cnf(refute_0_1446,plain,
( composition(converse(one),one) != converse(one)
| one = converse(one) ),
inference(resolve,[$cnf( $equal(composition(converse(one),one),one) )],[refute_0_1444,refute_0_1445]) ).
cnf(refute_0_1447,plain,
one = converse(one),
inference(resolve,[$cnf( $equal(composition(converse(one),one),converse(one)) )],[refute_0_1441,refute_0_1446]) ).
cnf(refute_0_1448,plain,
( one != converse(one)
| converse(one) = one ),
inference(subst,[],[refute_0_5:[bind(X,$fot(one)),bind(Y,$fot(converse(one)))]]) ).
cnf(refute_0_1449,plain,
converse(one) = one,
inference(resolve,[$cnf( $equal(one,converse(one)) )],[refute_0_1447,refute_0_1448]) ).
cnf(refute_0_1450,plain,
( converse(join(converse(one),X_5)) != join(one,converse(X_5))
| converse(one) != one
| converse(join(one,X_5)) = join(one,converse(X_5)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(one),X_5)),join(one,converse(X_5))) ),[0,0,0],$fot(one)]]) ).
cnf(refute_0_1451,plain,
( converse(join(converse(one),X_5)) != join(one,converse(X_5))
| converse(join(one,X_5)) = join(one,converse(X_5)) ),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_1449,refute_0_1450]) ).
cnf(refute_0_1452,plain,
converse(join(one,X_5)) = join(one,converse(X_5)),
inference(resolve,[$cnf( $equal(converse(join(converse(one),X_5)),join(one,converse(X_5))) )],[refute_0_1440,refute_0_1451]) ).
cnf(refute_0_1453,plain,
( converse(join(one,X_5)) != join(one,converse(X_5))
| join(one,converse(X_5)) = converse(join(one,X_5)) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(converse(join(one,X_5)))),bind(Y,$fot(join(one,converse(X_5))))]]) ).
cnf(refute_0_1454,plain,
join(one,converse(X_5)) = converse(join(one,X_5)),
inference(resolve,[$cnf( $equal(converse(join(one,X_5)),join(one,converse(X_5))) )],[refute_0_1452,refute_0_1453]) ).
cnf(refute_0_1455,plain,
join(one,converse(top)) = converse(join(one,top)),
inference(subst,[],[refute_0_1454:[bind(X_5,$fot(top))]]) ).
cnf(refute_0_1456,plain,
( converse(join(one,top)) != top
| join(one,converse(top)) != converse(join(one,top))
| join(one,converse(top)) = top ),
inference(subst,[],[refute_0_21:[bind(X,$fot(join(one,converse(top)))),bind(Y,$fot(converse(join(one,top)))),bind(Z,$fot(top))]]) ).
cnf(refute_0_1457,plain,
( converse(join(one,top)) != top
| join(one,converse(top)) = top ),
inference(resolve,[$cnf( $equal(join(one,converse(top)),converse(join(one,top))) )],[refute_0_1455,refute_0_1456]) ).
cnf(refute_0_1458,plain,
join(one,converse(top)) = top,
inference(resolve,[$cnf( $equal(converse(join(one,top)),top) )],[refute_0_1439,refute_0_1457]) ).
cnf(refute_0_1459,plain,
composition(join(one,converse(top)),complement(composition(top,X_115))) = composition(join(one,converse(top)),complement(composition(top,X_115))),
introduced(tautology,[refl,[$fot(composition(join(one,converse(top)),complement(composition(top,X_115))))]]) ).
cnf(refute_0_1460,plain,
( composition(join(one,converse(top)),complement(composition(top,X_115))) != composition(join(one,converse(top)),complement(composition(top,X_115)))
| join(one,converse(top)) != top
| composition(join(one,converse(top)),complement(composition(top,X_115))) = composition(top,complement(composition(top,X_115))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,converse(top)),complement(composition(top,X_115))),composition(join(one,converse(top)),complement(composition(top,X_115)))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_1461,plain,
( join(one,converse(top)) != top
| composition(join(one,converse(top)),complement(composition(top,X_115))) = composition(top,complement(composition(top,X_115))) ),
inference(resolve,[$cnf( $equal(composition(join(one,converse(top)),complement(composition(top,X_115))),composition(join(one,converse(top)),complement(composition(top,X_115)))) )],[refute_0_1459,refute_0_1460]) ).
cnf(refute_0_1462,plain,
composition(join(one,converse(top)),complement(composition(top,X_115))) = composition(top,complement(composition(top,X_115))),
inference(resolve,[$cnf( $equal(join(one,converse(top)),top) )],[refute_0_1458,refute_0_1461]) ).
cnf(refute_0_1463,plain,
composition(join(converse(top),one),complement(composition(top,X_115))) = composition(join(one,converse(top)),complement(composition(top,X_115))),
inference(subst,[],[refute_0_1341:[bind(X_108,$fot(converse(top))),bind(X_109,$fot(one)),bind(X_110,$fot(complement(composition(top,X_115))))]]) ).
cnf(refute_0_1464,plain,
join(complement(composition(top,X_115)),composition(converse(top),complement(composition(top,X_115)))) = composition(join(converse(top),one),complement(composition(top,X_115))),
inference(subst,[],[refute_0_1385:[bind(X_108,$fot(converse(top))),bind(X_110,$fot(complement(composition(top,X_115))))]]) ).
cnf(refute_0_1465,plain,
( composition(join(converse(top),one),complement(composition(top,X_115))) != composition(join(one,converse(top)),complement(composition(top,X_115)))
| join(complement(composition(top,X_115)),composition(converse(top),complement(composition(top,X_115)))) != composition(join(converse(top),one),complement(composition(top,X_115)))
| join(complement(composition(top,X_115)),composition(converse(top),complement(composition(top,X_115)))) = composition(join(one,converse(top)),complement(composition(top,X_115))) ),
inference(subst,[],[refute_0_21:[bind(X,$fot(join(complement(composition(top,X_115)),composition(converse(top),complement(composition(top,X_115)))))),bind(Y,$fot(composition(join(converse(top),one),complement(composition(top,X_115))))),bind(Z,$fot(composition(join(one,converse(top)),complement(composition(top,X_115)))))]]) ).
cnf(refute_0_1466,plain,
( composition(join(converse(top),one),complement(composition(top,X_115))) != composition(join(one,converse(top)),complement(composition(top,X_115)))
| join(complement(composition(top,X_115)),composition(converse(top),complement(composition(top,X_115)))) = composition(join(one,converse(top)),complement(composition(top,X_115))) ),
inference(resolve,[$cnf( $equal(join(complement(composition(top,X_115)),composition(converse(top),complement(composition(top,X_115)))),composition(join(converse(top),one),complement(composition(top,X_115)))) )],[refute_0_1464,refute_0_1465]) ).
cnf(refute_0_1467,plain,
join(complement(composition(top,X_115)),composition(converse(top),complement(composition(top,X_115)))) = composition(join(one,converse(top)),complement(composition(top,X_115))),
inference(resolve,[$cnf( $equal(composition(join(converse(top),one),complement(composition(top,X_115))),composition(join(one,converse(top)),complement(composition(top,X_115)))) )],[refute_0_1463,refute_0_1466]) ).
cnf(refute_0_1468,plain,
( composition(join(one,converse(top)),complement(composition(top,X_115))) != composition(top,complement(composition(top,X_115)))
| join(complement(composition(top,X_115)),composition(converse(top),complement(composition(top,X_115)))) != composition(join(one,converse(top)),complement(composition(top,X_115)))
| join(complement(composition(top,X_115)),composition(converse(top),complement(composition(top,X_115)))) = composition(top,complement(composition(top,X_115))) ),
inference(subst,[],[refute_0_21:[bind(X,$fot(join(complement(composition(top,X_115)),composition(converse(top),complement(composition(top,X_115)))))),bind(Y,$fot(composition(join(one,converse(top)),complement(composition(top,X_115))))),bind(Z,$fot(composition(top,complement(composition(top,X_115)))))]]) ).
cnf(refute_0_1469,plain,
( composition(join(one,converse(top)),complement(composition(top,X_115))) != composition(top,complement(composition(top,X_115)))
| join(complement(composition(top,X_115)),composition(converse(top),complement(composition(top,X_115)))) = composition(top,complement(composition(top,X_115))) ),
inference(resolve,[$cnf( $equal(join(complement(composition(top,X_115)),composition(converse(top),complement(composition(top,X_115)))),composition(join(one,converse(top)),complement(composition(top,X_115)))) )],[refute_0_1467,refute_0_1468]) ).
cnf(refute_0_1470,plain,
join(complement(composition(top,X_115)),composition(converse(top),complement(composition(top,X_115)))) = composition(top,complement(composition(top,X_115))),
inference(resolve,[$cnf( $equal(composition(join(one,converse(top)),complement(composition(top,X_115))),composition(top,complement(composition(top,X_115)))) )],[refute_0_1462,refute_0_1469]) ).
cnf(refute_0_1471,plain,
( join(complement(composition(top,X_115)),composition(converse(top),complement(composition(top,X_115)))) != complement(composition(top,X_115))
| join(complement(composition(top,X_115)),composition(converse(top),complement(composition(top,X_115)))) != composition(top,complement(composition(top,X_115)))
| composition(top,complement(composition(top,X_115))) = complement(composition(top,X_115)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(composition(top,X_115)),composition(converse(top),complement(composition(top,X_115)))),complement(composition(top,X_115))) ),[0],$fot(composition(top,complement(composition(top,X_115))))]]) ).
cnf(refute_0_1472,plain,
( join(complement(composition(top,X_115)),composition(converse(top),complement(composition(top,X_115)))) != complement(composition(top,X_115))
| composition(top,complement(composition(top,X_115))) = complement(composition(top,X_115)) ),
inference(resolve,[$cnf( $equal(join(complement(composition(top,X_115)),composition(converse(top),complement(composition(top,X_115)))),composition(top,complement(composition(top,X_115)))) )],[refute_0_1470,refute_0_1471]) ).
cnf(refute_0_1473,plain,
composition(top,complement(composition(top,X_115))) = complement(composition(top,X_115)),
inference(resolve,[$cnf( $equal(join(complement(composition(top,X_115)),composition(converse(top),complement(composition(top,X_115)))),complement(composition(top,X_115))) )],[refute_0_1432,refute_0_1472]) ).
cnf(refute_0_1474,plain,
composition(top,complement(composition(top,complement(X_94)))) = complement(composition(top,complement(X_94))),
inference(subst,[],[refute_0_1473:[bind(X_115,$fot(complement(X_94)))]]) ).
cnf(refute_0_1475,plain,
join(X_94,composition(top,complement(composition(top,complement(X_94))))) = join(X_94,composition(top,complement(composition(top,complement(X_94))))),
introduced(tautology,[refl,[$fot(join(X_94,composition(top,complement(composition(top,complement(X_94))))))]]) ).
cnf(refute_0_1476,plain,
( composition(top,complement(composition(top,complement(X_94)))) != complement(composition(top,complement(X_94)))
| join(X_94,composition(top,complement(composition(top,complement(X_94))))) != join(X_94,composition(top,complement(composition(top,complement(X_94)))))
| join(X_94,composition(top,complement(composition(top,complement(X_94))))) = join(X_94,complement(composition(top,complement(X_94)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_94,composition(top,complement(composition(top,complement(X_94))))),join(X_94,composition(top,complement(composition(top,complement(X_94)))))) ),[1,1],$fot(complement(composition(top,complement(X_94))))]]) ).
cnf(refute_0_1477,plain,
( composition(top,complement(composition(top,complement(X_94)))) != complement(composition(top,complement(X_94)))
| join(X_94,composition(top,complement(composition(top,complement(X_94))))) = join(X_94,complement(composition(top,complement(X_94)))) ),
inference(resolve,[$cnf( $equal(join(X_94,composition(top,complement(composition(top,complement(X_94))))),join(X_94,composition(top,complement(composition(top,complement(X_94)))))) )],[refute_0_1475,refute_0_1476]) ).
cnf(refute_0_1478,plain,
join(X_94,composition(top,complement(composition(top,complement(X_94))))) = join(X_94,complement(composition(top,complement(X_94)))),
inference(resolve,[$cnf( $equal(composition(top,complement(composition(top,complement(X_94)))),complement(composition(top,complement(X_94)))) )],[refute_0_1474,refute_0_1477]) ).
cnf(refute_0_1479,plain,
( join(X_94,composition(top,complement(composition(top,complement(X_94))))) != X_94
| join(X_94,composition(top,complement(composition(top,complement(X_94))))) != join(X_94,complement(composition(top,complement(X_94))))
| join(X_94,complement(composition(top,complement(X_94)))) = X_94 ),
introduced(tautology,[equality,[$cnf( $equal(join(X_94,composition(top,complement(composition(top,complement(X_94))))),X_94) ),[0],$fot(join(X_94,complement(composition(top,complement(X_94)))))]]) ).
cnf(refute_0_1480,plain,
( join(X_94,composition(top,complement(composition(top,complement(X_94))))) != X_94
| join(X_94,complement(composition(top,complement(X_94)))) = X_94 ),
inference(resolve,[$cnf( $equal(join(X_94,composition(top,complement(composition(top,complement(X_94))))),join(X_94,complement(composition(top,complement(X_94))))) )],[refute_0_1478,refute_0_1479]) ).
cnf(refute_0_1481,plain,
join(X_94,complement(composition(top,complement(X_94)))) = X_94,
inference(resolve,[$cnf( $equal(join(X_94,composition(top,complement(composition(top,complement(X_94))))),X_94) )],[refute_0_784,refute_0_1480]) ).
cnf(refute_0_1482,plain,
join(meet(converse(X_329),converse(complement(X_329))),complement(composition(top,complement(meet(converse(X_329),converse(complement(X_329))))))) = meet(converse(X_329),converse(complement(X_329))),
inference(subst,[],[refute_0_1481:[bind(X_94,$fot(meet(converse(X_329),converse(complement(X_329)))))]]) ).
cnf(refute_0_1483,plain,
converse(join(X0,join(X_7,converse(X_6)))) = join(converse(X0),converse(join(X_7,converse(X_6)))),
inference(subst,[],[refute_0_59:[bind(X1,$fot(join(X_7,converse(X_6))))]]) ).
cnf(refute_0_1484,plain,
converse(join(X_7,converse(X_6))) = join(converse(X_7),X_6),
inference(subst,[],[refute_0_453:[bind(X0,$fot(X_6)),bind(X_4,$fot(X_7))]]) ).
cnf(refute_0_1485,plain,
( converse(join(X0,join(X_7,converse(X_6)))) != join(converse(X0),converse(join(X_7,converse(X_6))))
| converse(join(X_7,converse(X_6))) != join(converse(X_7),X_6)
| converse(join(X0,join(X_7,converse(X_6)))) = join(converse(X0),join(converse(X_7),X_6)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X0,join(X_7,converse(X_6)))),join(converse(X0),converse(join(X_7,converse(X_6))))) ),[1,1],$fot(join(converse(X_7),X_6))]]) ).
cnf(refute_0_1486,plain,
( converse(join(X0,join(X_7,converse(X_6)))) != join(converse(X0),converse(join(X_7,converse(X_6))))
| converse(join(X0,join(X_7,converse(X_6)))) = join(converse(X0),join(converse(X_7),X_6)) ),
inference(resolve,[$cnf( $equal(converse(join(X_7,converse(X_6))),join(converse(X_7),X_6)) )],[refute_0_1484,refute_0_1485]) ).
cnf(refute_0_1487,plain,
converse(join(X0,join(X_7,converse(X_6)))) = join(converse(X0),join(converse(X_7),X_6)),
inference(resolve,[$cnf( $equal(converse(join(X0,join(X_7,converse(X_6)))),join(converse(X0),converse(join(X_7,converse(X_6))))) )],[refute_0_1483,refute_0_1486]) ).
cnf(refute_0_1488,plain,
converse(join(join(X_40,X_41),converse(X0))) = join(converse(join(X_40,X_41)),X0),
inference(subst,[],[refute_0_453:[bind(X_4,$fot(join(X_40,X_41)))]]) ).
cnf(refute_0_1489,plain,
join(X_40,join(X_41,converse(X0))) = join(join(X_40,X_41),converse(X0)),
inference(subst,[],[refute_0_121:[bind(X0,$fot(X_40)),bind(X1,$fot(X_41)),bind(X2,$fot(converse(X0)))]]) ).
cnf(refute_0_1490,plain,
( join(X_40,join(X_41,converse(X0))) != join(join(X_40,X_41),converse(X0))
| join(join(X_40,X_41),converse(X0)) = join(X_40,join(X_41,converse(X0))) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(join(X_40,join(X_41,converse(X0))))),bind(Y,$fot(join(join(X_40,X_41),converse(X0))))]]) ).
cnf(refute_0_1491,plain,
join(join(X_40,X_41),converse(X0)) = join(X_40,join(X_41,converse(X0))),
inference(resolve,[$cnf( $equal(join(X_40,join(X_41,converse(X0))),join(join(X_40,X_41),converse(X0))) )],[refute_0_1489,refute_0_1490]) ).
cnf(refute_0_1492,plain,
( converse(join(join(X_40,X_41),converse(X0))) != join(converse(join(X_40,X_41)),X0)
| join(join(X_40,X_41),converse(X0)) != join(X_40,join(X_41,converse(X0)))
| converse(join(X_40,join(X_41,converse(X0)))) = join(converse(join(X_40,X_41)),X0) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(X_40,X_41),converse(X0))),join(converse(join(X_40,X_41)),X0)) ),[0,0],$fot(join(X_40,join(X_41,converse(X0))))]]) ).
cnf(refute_0_1493,plain,
( converse(join(join(X_40,X_41),converse(X0))) != join(converse(join(X_40,X_41)),X0)
| converse(join(X_40,join(X_41,converse(X0)))) = join(converse(join(X_40,X_41)),X0) ),
inference(resolve,[$cnf( $equal(join(join(X_40,X_41),converse(X0)),join(X_40,join(X_41,converse(X0)))) )],[refute_0_1491,refute_0_1492]) ).
cnf(refute_0_1494,plain,
converse(join(X_40,join(X_41,converse(X0)))) = join(converse(join(X_40,X_41)),X0),
inference(resolve,[$cnf( $equal(converse(join(join(X_40,X_41),converse(X0))),join(converse(join(X_40,X_41)),X0)) )],[refute_0_1488,refute_0_1493]) ).
cnf(refute_0_1495,plain,
converse(join(X0,join(X_7,converse(X_6)))) = join(converse(join(X0,X_7)),X_6),
inference(subst,[],[refute_0_1494:[bind(X0,$fot(X_6)),bind(X_40,$fot(X0)),bind(X_41,$fot(X_7))]]) ).
cnf(refute_0_1496,plain,
( converse(join(X0,join(X_7,converse(X_6)))) != join(converse(X0),join(converse(X_7),X_6))
| converse(join(X0,join(X_7,converse(X_6)))) != join(converse(join(X0,X_7)),X_6)
| join(converse(join(X0,X_7)),X_6) = join(converse(X0),join(converse(X_7),X_6)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X0,join(X_7,converse(X_6)))),join(converse(X0),join(converse(X_7),X_6))) ),[0],$fot(join(converse(join(X0,X_7)),X_6))]]) ).
cnf(refute_0_1497,plain,
( converse(join(X0,join(X_7,converse(X_6)))) != join(converse(X0),join(converse(X_7),X_6))
| join(converse(join(X0,X_7)),X_6) = join(converse(X0),join(converse(X_7),X_6)) ),
inference(resolve,[$cnf( $equal(converse(join(X0,join(X_7,converse(X_6)))),join(converse(join(X0,X_7)),X_6)) )],[refute_0_1495,refute_0_1496]) ).
cnf(refute_0_1498,plain,
join(converse(join(X0,X_7)),X_6) = join(converse(X0),join(converse(X_7),X_6)),
inference(resolve,[$cnf( $equal(converse(join(X0,join(X_7,converse(X_6)))),join(converse(X0),join(converse(X_7),X_6))) )],[refute_0_1487,refute_0_1497]) ).
cnf(refute_0_1499,plain,
join(converse(join(X_167,X_169)),complement(converse(X_169))) = join(converse(X_167),join(converse(X_169),complement(converse(X_169)))),
inference(subst,[],[refute_0_1498:[bind(X0,$fot(X_167)),bind(X_6,$fot(complement(converse(X_169)))),bind(X_7,$fot(X_169))]]) ).
cnf(refute_0_1500,plain,
top = join(converse(X_169),complement(converse(X_169))),
inference(subst,[],[refute_0_66:[bind(X0,$fot(converse(X_169)))]]) ).
cnf(refute_0_1501,plain,
( top != join(converse(X_169),complement(converse(X_169)))
| join(converse(X_169),complement(converse(X_169))) = top ),
inference(subst,[],[refute_0_5:[bind(X,$fot(top)),bind(Y,$fot(join(converse(X_169),complement(converse(X_169)))))]]) ).
cnf(refute_0_1502,plain,
join(converse(X_169),complement(converse(X_169))) = top,
inference(resolve,[$cnf( $equal(top,join(converse(X_169),complement(converse(X_169)))) )],[refute_0_1500,refute_0_1501]) ).
cnf(refute_0_1503,plain,
( join(converse(X_169),complement(converse(X_169))) != top
| join(converse(join(X_167,X_169)),complement(converse(X_169))) != join(converse(X_167),join(converse(X_169),complement(converse(X_169))))
| join(converse(join(X_167,X_169)),complement(converse(X_169))) = join(converse(X_167),top) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(join(X_167,X_169)),complement(converse(X_169))),join(converse(X_167),join(converse(X_169),complement(converse(X_169))))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_1504,plain,
( join(converse(join(X_167,X_169)),complement(converse(X_169))) != join(converse(X_167),join(converse(X_169),complement(converse(X_169))))
| join(converse(join(X_167,X_169)),complement(converse(X_169))) = join(converse(X_167),top) ),
inference(resolve,[$cnf( $equal(join(converse(X_169),complement(converse(X_169))),top) )],[refute_0_1502,refute_0_1503]) ).
cnf(refute_0_1505,plain,
join(converse(join(X_167,X_169)),complement(converse(X_169))) = join(converse(X_167),top),
inference(resolve,[$cnf( $equal(join(converse(join(X_167,X_169)),complement(converse(X_169))),join(converse(X_167),join(converse(X_169),complement(converse(X_169))))) )],[refute_0_1499,refute_0_1504]) ).
cnf(refute_0_1506,plain,
join(converse(join(X_167,X_169)),complement(converse(X_169))) = join(complement(converse(X_169)),converse(join(X_167,X_169))),
inference(subst,[],[refute_0_7:[bind(X0,$fot(complement(converse(X_169)))),bind(X1,$fot(converse(join(X_167,X_169))))]]) ).
cnf(refute_0_1507,plain,
( join(converse(join(X_167,X_169)),complement(converse(X_169))) != join(complement(converse(X_169)),converse(join(X_167,X_169)))
| join(converse(join(X_167,X_169)),complement(converse(X_169))) != join(converse(X_167),top)
| join(complement(converse(X_169)),converse(join(X_167,X_169))) = join(converse(X_167),top) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(join(X_167,X_169)),complement(converse(X_169))),join(converse(X_167),top)) ),[0],$fot(join(complement(converse(X_169)),converse(join(X_167,X_169))))]]) ).
cnf(refute_0_1508,plain,
( join(converse(join(X_167,X_169)),complement(converse(X_169))) != join(converse(X_167),top)
| join(complement(converse(X_169)),converse(join(X_167,X_169))) = join(converse(X_167),top) ),
inference(resolve,[$cnf( $equal(join(converse(join(X_167,X_169)),complement(converse(X_169))),join(complement(converse(X_169)),converse(join(X_167,X_169)))) )],[refute_0_1506,refute_0_1507]) ).
cnf(refute_0_1509,plain,
join(converse(X_167),top) = top,
inference(subst,[],[refute_0_1220:[bind(X_66,$fot(converse(X_167)))]]) ).
cnf(refute_0_1510,plain,
( join(complement(converse(X_169)),converse(join(X_167,X_169))) != join(converse(X_167),top)
| join(converse(X_167),top) != top
| join(complement(converse(X_169)),converse(join(X_167,X_169))) = top ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(complement(converse(X_169)),converse(join(X_167,X_169))),top) ),[0],$fot(join(converse(X_167),top))]]) ).
cnf(refute_0_1511,plain,
( join(complement(converse(X_169)),converse(join(X_167,X_169))) != join(converse(X_167),top)
| join(complement(converse(X_169)),converse(join(X_167,X_169))) = top ),
inference(resolve,[$cnf( $equal(join(converse(X_167),top),top) )],[refute_0_1509,refute_0_1510]) ).
cnf(refute_0_1512,plain,
( join(converse(join(X_167,X_169)),complement(converse(X_169))) != join(converse(X_167),top)
| join(complement(converse(X_169)),converse(join(X_167,X_169))) = top ),
inference(resolve,[$cnf( $equal(join(complement(converse(X_169)),converse(join(X_167,X_169))),join(converse(X_167),top)) )],[refute_0_1508,refute_0_1511]) ).
cnf(refute_0_1513,plain,
join(complement(converse(X_169)),converse(join(X_167,X_169))) = top,
inference(resolve,[$cnf( $equal(join(converse(join(X_167,X_169)),complement(converse(X_169))),join(converse(X_167),top)) )],[refute_0_1505,refute_0_1512]) ).
cnf(refute_0_1514,plain,
join(complement(converse(X_171)),converse(join(X_170,X_171))) = top,
inference(subst,[],[refute_0_1513:[bind(X_167,$fot(X_170)),bind(X_169,$fot(X_171))]]) ).
cnf(refute_0_1515,plain,
join(X_171,X_170) = join(X_170,X_171),
inference(subst,[],[refute_0_2:[bind(X0,$fot(X_171)),bind(X1,$fot(X_170))]]) ).
cnf(refute_0_1516,plain,
( join(X_171,X_170) != join(X_170,X_171)
| join(X_170,X_171) = join(X_171,X_170) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(join(X_171,X_170))),bind(Y,$fot(join(X_170,X_171)))]]) ).
cnf(refute_0_1517,plain,
join(X_170,X_171) = join(X_171,X_170),
inference(resolve,[$cnf( $equal(join(X_171,X_170),join(X_170,X_171)) )],[refute_0_1515,refute_0_1516]) ).
cnf(refute_0_1518,plain,
( join(X_170,X_171) != join(X_171,X_170)
| join(complement(converse(X_171)),converse(join(X_170,X_171))) != top
| join(complement(converse(X_171)),converse(join(X_171,X_170))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(X_171)),converse(join(X_170,X_171))),top) ),[0,1,0],$fot(join(X_171,X_170))]]) ).
cnf(refute_0_1519,plain,
( join(complement(converse(X_171)),converse(join(X_170,X_171))) != top
| join(complement(converse(X_171)),converse(join(X_171,X_170))) = top ),
inference(resolve,[$cnf( $equal(join(X_170,X_171),join(X_171,X_170)) )],[refute_0_1517,refute_0_1518]) ).
cnf(refute_0_1520,plain,
join(complement(converse(X_171)),converse(join(X_171,X_170))) = top,
inference(resolve,[$cnf( $equal(join(complement(converse(X_171)),converse(join(X_170,X_171))),top) )],[refute_0_1514,refute_0_1519]) ).
cnf(refute_0_1521,plain,
join(complement(converse(complement(X_98))),converse(join(complement(X_98),meet(X_98,converse(complement(converse(X_98))))))) = top,
inference(subst,[],[refute_0_1520:[bind(X_170,$fot(meet(X_98,converse(complement(converse(X_98)))))),bind(X_171,$fot(complement(X_98)))]]) ).
cnf(refute_0_1522,plain,
( converse(complement(converse(X_98))) != join(complement(X_98),meet(X_98,converse(complement(converse(X_98)))))
| join(complement(X_98),meet(X_98,converse(complement(converse(X_98))))) = converse(complement(converse(X_98))) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(converse(complement(converse(X_98))))),bind(Y,$fot(join(complement(X_98),meet(X_98,converse(complement(converse(X_98)))))))]]) ).
cnf(refute_0_1523,plain,
join(complement(X_98),meet(X_98,converse(complement(converse(X_98))))) = converse(complement(converse(X_98))),
inference(resolve,[$cnf( $equal(converse(complement(converse(X_98))),join(complement(X_98),meet(X_98,converse(complement(converse(X_98)))))) )],[refute_0_735,refute_0_1522]) ).
cnf(refute_0_1524,plain,
( join(complement(X_98),meet(X_98,converse(complement(converse(X_98))))) != converse(complement(converse(X_98)))
| join(complement(converse(complement(X_98))),converse(join(complement(X_98),meet(X_98,converse(complement(converse(X_98))))))) != top
| join(complement(converse(complement(X_98))),converse(converse(complement(converse(X_98))))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(complement(X_98))),converse(join(complement(X_98),meet(X_98,converse(complement(converse(X_98))))))),top) ),[0,1,0],$fot(converse(complement(converse(X_98))))]]) ).
cnf(refute_0_1525,plain,
( join(complement(converse(complement(X_98))),converse(join(complement(X_98),meet(X_98,converse(complement(converse(X_98))))))) != top
| join(complement(converse(complement(X_98))),converse(converse(complement(converse(X_98))))) = top ),
inference(resolve,[$cnf( $equal(join(complement(X_98),meet(X_98,converse(complement(converse(X_98))))),converse(complement(converse(X_98)))) )],[refute_0_1523,refute_0_1524]) ).
cnf(refute_0_1526,plain,
join(complement(converse(complement(X_98))),converse(converse(complement(converse(X_98))))) = top,
inference(resolve,[$cnf( $equal(join(complement(converse(complement(X_98))),converse(join(complement(X_98),meet(X_98,converse(complement(converse(X_98))))))),top) )],[refute_0_1521,refute_0_1525]) ).
cnf(refute_0_1527,plain,
meet(converse(complement(X_98)),converse(X_98)) = meet(converse(X_98),converse(complement(X_98))),
inference(subst,[],[refute_0_517:[bind(X_19,$fot(converse(X_98))),bind(X_20,$fot(converse(complement(X_98))))]]) ).
cnf(refute_0_1528,plain,
complement(meet(converse(complement(X_98)),converse(X_98))) = complement(meet(converse(complement(X_98)),converse(X_98))),
introduced(tautology,[refl,[$fot(complement(meet(converse(complement(X_98)),converse(X_98))))]]) ).
cnf(refute_0_1529,plain,
( complement(meet(converse(complement(X_98)),converse(X_98))) != complement(meet(converse(complement(X_98)),converse(X_98)))
| meet(converse(complement(X_98)),converse(X_98)) != meet(converse(X_98),converse(complement(X_98)))
| complement(meet(converse(complement(X_98)),converse(X_98))) = complement(meet(converse(X_98),converse(complement(X_98)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(converse(complement(X_98)),converse(X_98))),complement(meet(converse(complement(X_98)),converse(X_98)))) ),[1,0],$fot(meet(converse(X_98),converse(complement(X_98))))]]) ).
cnf(refute_0_1530,plain,
( meet(converse(complement(X_98)),converse(X_98)) != meet(converse(X_98),converse(complement(X_98)))
| complement(meet(converse(complement(X_98)),converse(X_98))) = complement(meet(converse(X_98),converse(complement(X_98)))) ),
inference(resolve,[$cnf( $equal(complement(meet(converse(complement(X_98)),converse(X_98))),complement(meet(converse(complement(X_98)),converse(X_98)))) )],[refute_0_1528,refute_0_1529]) ).
cnf(refute_0_1531,plain,
complement(meet(converse(complement(X_98)),converse(X_98))) = complement(meet(converse(X_98),converse(complement(X_98)))),
inference(resolve,[$cnf( $equal(meet(converse(complement(X_98)),converse(X_98)),meet(converse(X_98),converse(complement(X_98)))) )],[refute_0_1527,refute_0_1530]) ).
cnf(refute_0_1532,plain,
join(complement(X0),complement(X1)) = join(zero,meet(join(complement(X0),complement(X1)),complement(complement(join(complement(X0),complement(X1)))))),
inference(subst,[],[refute_0_182:[bind(X_29,$fot(join(complement(X0),complement(X1))))]]) ).
cnf(refute_0_1533,plain,
( complement(join(complement(X0),complement(X1))) != meet(X0,X1)
| join(complement(X0),complement(X1)) != join(zero,meet(join(complement(X0),complement(X1)),complement(complement(join(complement(X0),complement(X1))))))
| join(complement(X0),complement(X1)) = join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X0),complement(X1)),join(zero,meet(join(complement(X0),complement(X1)),complement(complement(join(complement(X0),complement(X1))))))) ),[1,1,1,0],$fot(meet(X0,X1))]]) ).
cnf(refute_0_1534,plain,
( join(complement(X0),complement(X1)) != join(zero,meet(join(complement(X0),complement(X1)),complement(complement(join(complement(X0),complement(X1))))))
| join(complement(X0),complement(X1)) = join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1)))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X0),complement(X1))),meet(X0,X1)) )],[refute_0_15,refute_0_1533]) ).
cnf(refute_0_1535,plain,
join(complement(X0),complement(X1)) = join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1)))),
inference(resolve,[$cnf( $equal(join(complement(X0),complement(X1)),join(zero,meet(join(complement(X0),complement(X1)),complement(complement(join(complement(X0),complement(X1))))))) )],[refute_0_1532,refute_0_1534]) ).
cnf(refute_0_1536,plain,
join(complement(complement(meet(X0,X1))),meet(X0,X1)) = join(meet(X0,X1),complement(complement(meet(X0,X1)))),
inference(subst,[],[refute_0_7:[bind(X0,$fot(meet(X0,X1))),bind(X1,$fot(complement(complement(meet(X0,X1)))))]]) ).
cnf(refute_0_1537,plain,
complement(join(complement(complement(meet(X0,X1))),meet(X0,X1))) = complement(join(complement(complement(meet(X0,X1))),meet(X0,X1))),
introduced(tautology,[refl,[$fot(complement(join(complement(complement(meet(X0,X1))),meet(X0,X1))))]]) ).
cnf(refute_0_1538,plain,
( complement(join(complement(complement(meet(X0,X1))),meet(X0,X1))) != complement(join(complement(complement(meet(X0,X1))),meet(X0,X1)))
| join(complement(complement(meet(X0,X1))),meet(X0,X1)) != join(meet(X0,X1),complement(complement(meet(X0,X1))))
| complement(join(complement(complement(meet(X0,X1))),meet(X0,X1))) = complement(join(meet(X0,X1),complement(complement(meet(X0,X1))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(complement(meet(X0,X1))),meet(X0,X1))),complement(join(complement(complement(meet(X0,X1))),meet(X0,X1)))) ),[1,0],$fot(join(meet(X0,X1),complement(complement(meet(X0,X1)))))]]) ).
cnf(refute_0_1539,plain,
( join(complement(complement(meet(X0,X1))),meet(X0,X1)) != join(meet(X0,X1),complement(complement(meet(X0,X1))))
| complement(join(complement(complement(meet(X0,X1))),meet(X0,X1))) = complement(join(meet(X0,X1),complement(complement(meet(X0,X1))))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(complement(meet(X0,X1))),meet(X0,X1))),complement(join(complement(complement(meet(X0,X1))),meet(X0,X1)))) )],[refute_0_1537,refute_0_1538]) ).
cnf(refute_0_1540,plain,
complement(join(complement(complement(meet(X0,X1))),meet(X0,X1))) = complement(join(meet(X0,X1),complement(complement(meet(X0,X1))))),
inference(resolve,[$cnf( $equal(join(complement(complement(meet(X0,X1))),meet(X0,X1)),join(meet(X0,X1),complement(complement(meet(X0,X1))))) )],[refute_0_1536,refute_0_1539]) ).
cnf(refute_0_1541,plain,
meet(X0,join(complement(X_19),complement(X_20))) = complement(join(complement(X0),complement(join(complement(X_19),complement(X_20))))),
inference(subst,[],[refute_0_13:[bind(X1,$fot(join(complement(X_19),complement(X_20))))]]) ).
cnf(refute_0_1542,plain,
( complement(join(complement(X_19),complement(X_20))) != meet(X_19,X_20)
| meet(X0,join(complement(X_19),complement(X_20))) != complement(join(complement(X0),complement(join(complement(X_19),complement(X_20)))))
| meet(X0,join(complement(X_19),complement(X_20))) = complement(join(complement(X0),meet(X_19,X_20))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X0,join(complement(X_19),complement(X_20))),complement(join(complement(X0),complement(join(complement(X_19),complement(X_20)))))) ),[1,0,1],$fot(meet(X_19,X_20))]]) ).
cnf(refute_0_1543,plain,
( meet(X0,join(complement(X_19),complement(X_20))) != complement(join(complement(X0),complement(join(complement(X_19),complement(X_20)))))
| meet(X0,join(complement(X_19),complement(X_20))) = complement(join(complement(X0),meet(X_19,X_20))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_19),complement(X_20))),meet(X_19,X_20)) )],[refute_0_86,refute_0_1542]) ).
cnf(refute_0_1544,plain,
meet(X0,join(complement(X_19),complement(X_20))) = complement(join(complement(X0),meet(X_19,X_20))),
inference(resolve,[$cnf( $equal(meet(X0,join(complement(X_19),complement(X_20))),complement(join(complement(X0),complement(join(complement(X_19),complement(X_20)))))) )],[refute_0_1541,refute_0_1543]) ).
cnf(refute_0_1545,plain,
meet(complement(meet(X0,X1)),join(complement(X0),complement(X1))) = complement(join(complement(complement(meet(X0,X1))),meet(X0,X1))),
inference(subst,[],[refute_0_1544:[bind(X0,$fot(complement(meet(X0,X1)))),bind(X_19,$fot(X0)),bind(X_20,$fot(X1))]]) ).
cnf(refute_0_1546,plain,
meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))) = meet(complement(meet(X0,X1)),join(complement(X0),complement(X1))),
inference(subst,[],[refute_0_517:[bind(X_19,$fot(complement(meet(X0,X1)))),bind(X_20,$fot(join(complement(X0),complement(X1))))]]) ).
cnf(refute_0_1547,plain,
( meet(complement(meet(X0,X1)),join(complement(X0),complement(X1))) != complement(join(complement(complement(meet(X0,X1))),meet(X0,X1)))
| meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))) != meet(complement(meet(X0,X1)),join(complement(X0),complement(X1)))
| meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))) = complement(join(complement(complement(meet(X0,X1))),meet(X0,X1))) ),
inference(subst,[],[refute_0_21:[bind(X,$fot(meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))))),bind(Y,$fot(meet(complement(meet(X0,X1)),join(complement(X0),complement(X1))))),bind(Z,$fot(complement(join(complement(complement(meet(X0,X1))),meet(X0,X1)))))]]) ).
cnf(refute_0_1548,plain,
( meet(complement(meet(X0,X1)),join(complement(X0),complement(X1))) != complement(join(complement(complement(meet(X0,X1))),meet(X0,X1)))
| meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))) = complement(join(complement(complement(meet(X0,X1))),meet(X0,X1))) ),
inference(resolve,[$cnf( $equal(meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))),meet(complement(meet(X0,X1)),join(complement(X0),complement(X1)))) )],[refute_0_1546,refute_0_1547]) ).
cnf(refute_0_1549,plain,
meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))) = complement(join(complement(complement(meet(X0,X1))),meet(X0,X1))),
inference(resolve,[$cnf( $equal(meet(complement(meet(X0,X1)),join(complement(X0),complement(X1))),complement(join(complement(complement(meet(X0,X1))),meet(X0,X1)))) )],[refute_0_1545,refute_0_1548]) ).
cnf(refute_0_1550,plain,
( complement(join(complement(complement(meet(X0,X1))),meet(X0,X1))) != complement(join(meet(X0,X1),complement(complement(meet(X0,X1)))))
| meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))) != complement(join(complement(complement(meet(X0,X1))),meet(X0,X1)))
| meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))) = complement(join(meet(X0,X1),complement(complement(meet(X0,X1))))) ),
inference(subst,[],[refute_0_21:[bind(X,$fot(meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))))),bind(Y,$fot(complement(join(complement(complement(meet(X0,X1))),meet(X0,X1))))),bind(Z,$fot(complement(join(meet(X0,X1),complement(complement(meet(X0,X1)))))))]]) ).
cnf(refute_0_1551,plain,
( complement(join(complement(complement(meet(X0,X1))),meet(X0,X1))) != complement(join(meet(X0,X1),complement(complement(meet(X0,X1)))))
| meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))) = complement(join(meet(X0,X1),complement(complement(meet(X0,X1))))) ),
inference(resolve,[$cnf( $equal(meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))),complement(join(complement(complement(meet(X0,X1))),meet(X0,X1)))) )],[refute_0_1549,refute_0_1550]) ).
cnf(refute_0_1552,plain,
meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))) = complement(join(meet(X0,X1),complement(complement(meet(X0,X1))))),
inference(resolve,[$cnf( $equal(complement(join(complement(complement(meet(X0,X1))),meet(X0,X1))),complement(join(meet(X0,X1),complement(complement(meet(X0,X1)))))) )],[refute_0_1540,refute_0_1551]) ).
cnf(refute_0_1553,plain,
join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1)))) = join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1)))),
introduced(tautology,[refl,[$fot(join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1)))))]]) ).
cnf(refute_0_1554,plain,
( join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1)))) != join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))))
| meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))) != complement(join(meet(X0,X1),complement(complement(meet(X0,X1)))))
| join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1)))) = join(zero,complement(join(meet(X0,X1),complement(complement(meet(X0,X1)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1)))),join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))))) ),[1,1],$fot(complement(join(meet(X0,X1),complement(complement(meet(X0,X1))))))]]) ).
cnf(refute_0_1555,plain,
( meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))) != complement(join(meet(X0,X1),complement(complement(meet(X0,X1)))))
| join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1)))) = join(zero,complement(join(meet(X0,X1),complement(complement(meet(X0,X1)))))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1)))),join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))))) )],[refute_0_1553,refute_0_1554]) ).
cnf(refute_0_1556,plain,
join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1)))) = join(zero,complement(join(meet(X0,X1),complement(complement(meet(X0,X1)))))),
inference(resolve,[$cnf( $equal(meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))),complement(join(meet(X0,X1),complement(complement(meet(X0,X1)))))) )],[refute_0_1552,refute_0_1555]) ).
cnf(refute_0_1557,plain,
( join(complement(X0),complement(X1)) != join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))))
| join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1)))) != join(zero,complement(join(meet(X0,X1),complement(complement(meet(X0,X1))))))
| join(complement(X0),complement(X1)) = join(zero,complement(join(meet(X0,X1),complement(complement(meet(X0,X1)))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(complement(X0),complement(X1)),join(zero,complement(join(meet(X0,X1),complement(complement(meet(X0,X1))))))) ),[0],$fot(join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1)))))]]) ).
cnf(refute_0_1558,plain,
( join(complement(X0),complement(X1)) != join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))))
| join(complement(X0),complement(X1)) = join(zero,complement(join(meet(X0,X1),complement(complement(meet(X0,X1)))))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1)))),join(zero,complement(join(meet(X0,X1),complement(complement(meet(X0,X1))))))) )],[refute_0_1556,refute_0_1557]) ).
cnf(refute_0_1559,plain,
join(complement(X0),complement(X1)) = join(zero,complement(join(meet(X0,X1),complement(complement(meet(X0,X1)))))),
inference(resolve,[$cnf( $equal(join(complement(X0),complement(X1)),join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))))) )],[refute_0_1535,refute_0_1558]) ).
cnf(refute_0_1560,plain,
complement(complement(meet(X0,X1))) = meet(X0,X1),
inference(subst,[],[refute_0_700:[bind(X_23,$fot(meet(X0,X1)))]]) ).
cnf(refute_0_1561,plain,
join(meet(X0,X1),complement(complement(meet(X0,X1)))) = join(meet(X0,X1),complement(complement(meet(X0,X1)))),
introduced(tautology,[refl,[$fot(join(meet(X0,X1),complement(complement(meet(X0,X1)))))]]) ).
cnf(refute_0_1562,plain,
( complement(complement(meet(X0,X1))) != meet(X0,X1)
| join(meet(X0,X1),complement(complement(meet(X0,X1)))) != join(meet(X0,X1),complement(complement(meet(X0,X1))))
| join(meet(X0,X1),complement(complement(meet(X0,X1)))) = join(meet(X0,X1),meet(X0,X1)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X0,X1),complement(complement(meet(X0,X1)))),join(meet(X0,X1),complement(complement(meet(X0,X1))))) ),[1,1],$fot(meet(X0,X1))]]) ).
cnf(refute_0_1563,plain,
( complement(complement(meet(X0,X1))) != meet(X0,X1)
| join(meet(X0,X1),complement(complement(meet(X0,X1)))) = join(meet(X0,X1),meet(X0,X1)) ),
inference(resolve,[$cnf( $equal(join(meet(X0,X1),complement(complement(meet(X0,X1)))),join(meet(X0,X1),complement(complement(meet(X0,X1))))) )],[refute_0_1561,refute_0_1562]) ).
cnf(refute_0_1564,plain,
join(meet(X0,X1),complement(complement(meet(X0,X1)))) = join(meet(X0,X1),meet(X0,X1)),
inference(resolve,[$cnf( $equal(complement(complement(meet(X0,X1))),meet(X0,X1)) )],[refute_0_1560,refute_0_1563]) ).
cnf(refute_0_1565,plain,
complement(join(meet(X0,X1),complement(complement(meet(X0,X1))))) = complement(join(meet(X0,X1),complement(complement(meet(X0,X1))))),
introduced(tautology,[refl,[$fot(complement(join(meet(X0,X1),complement(complement(meet(X0,X1))))))]]) ).
cnf(refute_0_1566,plain,
( complement(join(meet(X0,X1),complement(complement(meet(X0,X1))))) != complement(join(meet(X0,X1),complement(complement(meet(X0,X1)))))
| join(meet(X0,X1),complement(complement(meet(X0,X1)))) != join(meet(X0,X1),meet(X0,X1))
| complement(join(meet(X0,X1),complement(complement(meet(X0,X1))))) = complement(join(meet(X0,X1),meet(X0,X1))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(meet(X0,X1),complement(complement(meet(X0,X1))))),complement(join(meet(X0,X1),complement(complement(meet(X0,X1)))))) ),[1,0],$fot(join(meet(X0,X1),meet(X0,X1)))]]) ).
cnf(refute_0_1567,plain,
( join(meet(X0,X1),complement(complement(meet(X0,X1)))) != join(meet(X0,X1),meet(X0,X1))
| complement(join(meet(X0,X1),complement(complement(meet(X0,X1))))) = complement(join(meet(X0,X1),meet(X0,X1))) ),
inference(resolve,[$cnf( $equal(complement(join(meet(X0,X1),complement(complement(meet(X0,X1))))),complement(join(meet(X0,X1),complement(complement(meet(X0,X1)))))) )],[refute_0_1565,refute_0_1566]) ).
cnf(refute_0_1568,plain,
complement(join(meet(X0,X1),complement(complement(meet(X0,X1))))) = complement(join(meet(X0,X1),meet(X0,X1))),
inference(resolve,[$cnf( $equal(join(meet(X0,X1),complement(complement(meet(X0,X1)))),join(meet(X0,X1),meet(X0,X1))) )],[refute_0_1564,refute_0_1567]) ).
cnf(refute_0_1569,plain,
join(zero,complement(join(meet(X0,X1),complement(complement(meet(X0,X1)))))) = complement(join(meet(X0,X1),complement(complement(meet(X0,X1))))),
inference(subst,[],[refute_0_561:[bind(X_29,$fot(complement(join(meet(X0,X1),complement(complement(meet(X0,X1)))))))]]) ).
cnf(refute_0_1570,plain,
( complement(join(meet(X0,X1),complement(complement(meet(X0,X1))))) != complement(join(meet(X0,X1),meet(X0,X1)))
| join(zero,complement(join(meet(X0,X1),complement(complement(meet(X0,X1)))))) != complement(join(meet(X0,X1),complement(complement(meet(X0,X1)))))
| join(zero,complement(join(meet(X0,X1),complement(complement(meet(X0,X1)))))) = complement(join(meet(X0,X1),meet(X0,X1))) ),
inference(subst,[],[refute_0_21:[bind(X,$fot(join(zero,complement(join(meet(X0,X1),complement(complement(meet(X0,X1)))))))),bind(Y,$fot(complement(join(meet(X0,X1),complement(complement(meet(X0,X1))))))),bind(Z,$fot(complement(join(meet(X0,X1),meet(X0,X1)))))]]) ).
cnf(refute_0_1571,plain,
( complement(join(meet(X0,X1),complement(complement(meet(X0,X1))))) != complement(join(meet(X0,X1),meet(X0,X1)))
| join(zero,complement(join(meet(X0,X1),complement(complement(meet(X0,X1)))))) = complement(join(meet(X0,X1),meet(X0,X1))) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(meet(X0,X1),complement(complement(meet(X0,X1)))))),complement(join(meet(X0,X1),complement(complement(meet(X0,X1)))))) )],[refute_0_1569,refute_0_1570]) ).
cnf(refute_0_1572,plain,
join(zero,complement(join(meet(X0,X1),complement(complement(meet(X0,X1)))))) = complement(join(meet(X0,X1),meet(X0,X1))),
inference(resolve,[$cnf( $equal(complement(join(meet(X0,X1),complement(complement(meet(X0,X1))))),complement(join(meet(X0,X1),meet(X0,X1)))) )],[refute_0_1568,refute_0_1571]) ).
cnf(refute_0_1573,plain,
( join(complement(X0),complement(X1)) != join(zero,complement(join(meet(X0,X1),complement(complement(meet(X0,X1))))))
| join(zero,complement(join(meet(X0,X1),complement(complement(meet(X0,X1)))))) != complement(join(meet(X0,X1),meet(X0,X1)))
| join(complement(X0),complement(X1)) = complement(join(meet(X0,X1),meet(X0,X1))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(complement(X0),complement(X1)),complement(join(meet(X0,X1),meet(X0,X1)))) ),[0],$fot(join(zero,complement(join(meet(X0,X1),complement(complement(meet(X0,X1)))))))]]) ).
cnf(refute_0_1574,plain,
( join(complement(X0),complement(X1)) != join(zero,complement(join(meet(X0,X1),complement(complement(meet(X0,X1))))))
| join(complement(X0),complement(X1)) = complement(join(meet(X0,X1),meet(X0,X1))) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(meet(X0,X1),complement(complement(meet(X0,X1)))))),complement(join(meet(X0,X1),meet(X0,X1)))) )],[refute_0_1572,refute_0_1573]) ).
cnf(refute_0_1575,plain,
join(complement(X0),complement(X1)) = complement(join(meet(X0,X1),meet(X0,X1))),
inference(resolve,[$cnf( $equal(join(complement(X0),complement(X1)),join(zero,complement(join(meet(X0,X1),complement(complement(meet(X0,X1))))))) )],[refute_0_1559,refute_0_1574]) ).
cnf(refute_0_1576,plain,
( complement(X_65) != complement(join(X_65,X_65))
| complement(join(X_65,X_65)) = complement(X_65) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(complement(X_65))),bind(Y,$fot(complement(join(X_65,X_65))))]]) ).
cnf(refute_0_1577,plain,
complement(join(X_65,X_65)) = complement(X_65),
inference(resolve,[$cnf( $equal(complement(X_65),complement(join(X_65,X_65))) )],[refute_0_1200,refute_0_1576]) ).
cnf(refute_0_1578,plain,
complement(join(meet(X0,X1),meet(X0,X1))) = complement(meet(X0,X1)),
inference(subst,[],[refute_0_1577:[bind(X_65,$fot(meet(X0,X1)))]]) ).
cnf(refute_0_1579,plain,
( complement(join(meet(X0,X1),meet(X0,X1))) != complement(meet(X0,X1))
| join(complement(X0),complement(X1)) != complement(join(meet(X0,X1),meet(X0,X1)))
| join(complement(X0),complement(X1)) = complement(meet(X0,X1)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X0),complement(X1)),complement(join(meet(X0,X1),meet(X0,X1)))) ),[1],$fot(complement(meet(X0,X1)))]]) ).
cnf(refute_0_1580,plain,
( join(complement(X0),complement(X1)) != complement(join(meet(X0,X1),meet(X0,X1)))
| join(complement(X0),complement(X1)) = complement(meet(X0,X1)) ),
inference(resolve,[$cnf( $equal(complement(join(meet(X0,X1),meet(X0,X1))),complement(meet(X0,X1))) )],[refute_0_1578,refute_0_1579]) ).
cnf(refute_0_1581,plain,
join(complement(X0),complement(X1)) = complement(meet(X0,X1)),
inference(resolve,[$cnf( $equal(join(complement(X0),complement(X1)),complement(join(meet(X0,X1),meet(X0,X1)))) )],[refute_0_1575,refute_0_1580]) ).
cnf(refute_0_1582,plain,
join(complement(converse(complement(X_98))),complement(converse(X_98))) = complement(meet(converse(complement(X_98)),converse(X_98))),
inference(subst,[],[refute_0_1581:[bind(X0,$fot(converse(complement(X_98)))),bind(X1,$fot(converse(X_98)))]]) ).
cnf(refute_0_1583,plain,
( complement(meet(converse(complement(X_98)),converse(X_98))) != complement(meet(converse(X_98),converse(complement(X_98))))
| join(complement(converse(complement(X_98))),complement(converse(X_98))) != complement(meet(converse(complement(X_98)),converse(X_98)))
| join(complement(converse(complement(X_98))),complement(converse(X_98))) = complement(meet(converse(X_98),converse(complement(X_98)))) ),
inference(subst,[],[refute_0_21:[bind(X,$fot(join(complement(converse(complement(X_98))),complement(converse(X_98))))),bind(Y,$fot(complement(meet(converse(complement(X_98)),converse(X_98))))),bind(Z,$fot(complement(meet(converse(X_98),converse(complement(X_98))))))]]) ).
cnf(refute_0_1584,plain,
( complement(meet(converse(complement(X_98)),converse(X_98))) != complement(meet(converse(X_98),converse(complement(X_98))))
| join(complement(converse(complement(X_98))),complement(converse(X_98))) = complement(meet(converse(X_98),converse(complement(X_98)))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(X_98))),complement(converse(X_98))),complement(meet(converse(complement(X_98)),converse(X_98)))) )],[refute_0_1582,refute_0_1583]) ).
cnf(refute_0_1585,plain,
join(complement(converse(complement(X_98))),complement(converse(X_98))) = complement(meet(converse(X_98),converse(complement(X_98)))),
inference(resolve,[$cnf( $equal(complement(meet(converse(complement(X_98)),converse(X_98))),complement(meet(converse(X_98),converse(complement(X_98))))) )],[refute_0_1531,refute_0_1584]) ).
cnf(refute_0_1586,plain,
converse(converse(complement(converse(X_98)))) = complement(converse(X_98)),
inference(subst,[],[refute_0_61:[bind(X0,$fot(complement(converse(X_98))))]]) ).
cnf(refute_0_1587,plain,
join(complement(converse(complement(X_98))),converse(converse(complement(converse(X_98))))) = join(complement(converse(complement(X_98))),converse(converse(complement(converse(X_98))))),
introduced(tautology,[refl,[$fot(join(complement(converse(complement(X_98))),converse(converse(complement(converse(X_98))))))]]) ).
cnf(refute_0_1588,plain,
( converse(converse(complement(converse(X_98)))) != complement(converse(X_98))
| join(complement(converse(complement(X_98))),converse(converse(complement(converse(X_98))))) != join(complement(converse(complement(X_98))),converse(converse(complement(converse(X_98)))))
| join(complement(converse(complement(X_98))),converse(converse(complement(converse(X_98))))) = join(complement(converse(complement(X_98))),complement(converse(X_98))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(complement(X_98))),converse(converse(complement(converse(X_98))))),join(complement(converse(complement(X_98))),converse(converse(complement(converse(X_98)))))) ),[1,1],$fot(complement(converse(X_98)))]]) ).
cnf(refute_0_1589,plain,
( converse(converse(complement(converse(X_98)))) != complement(converse(X_98))
| join(complement(converse(complement(X_98))),converse(converse(complement(converse(X_98))))) = join(complement(converse(complement(X_98))),complement(converse(X_98))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(X_98))),converse(converse(complement(converse(X_98))))),join(complement(converse(complement(X_98))),converse(converse(complement(converse(X_98)))))) )],[refute_0_1587,refute_0_1588]) ).
cnf(refute_0_1590,plain,
join(complement(converse(complement(X_98))),converse(converse(complement(converse(X_98))))) = join(complement(converse(complement(X_98))),complement(converse(X_98))),
inference(resolve,[$cnf( $equal(converse(converse(complement(converse(X_98)))),complement(converse(X_98))) )],[refute_0_1586,refute_0_1589]) ).
cnf(refute_0_1591,plain,
( join(complement(converse(complement(X_98))),complement(converse(X_98))) != complement(meet(converse(X_98),converse(complement(X_98))))
| join(complement(converse(complement(X_98))),converse(converse(complement(converse(X_98))))) != join(complement(converse(complement(X_98))),complement(converse(X_98)))
| join(complement(converse(complement(X_98))),converse(converse(complement(converse(X_98))))) = complement(meet(converse(X_98),converse(complement(X_98)))) ),
inference(subst,[],[refute_0_21:[bind(X,$fot(join(complement(converse(complement(X_98))),converse(converse(complement(converse(X_98))))))),bind(Y,$fot(join(complement(converse(complement(X_98))),complement(converse(X_98))))),bind(Z,$fot(complement(meet(converse(X_98),converse(complement(X_98))))))]]) ).
cnf(refute_0_1592,plain,
( join(complement(converse(complement(X_98))),complement(converse(X_98))) != complement(meet(converse(X_98),converse(complement(X_98))))
| join(complement(converse(complement(X_98))),converse(converse(complement(converse(X_98))))) = complement(meet(converse(X_98),converse(complement(X_98)))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(X_98))),converse(converse(complement(converse(X_98))))),join(complement(converse(complement(X_98))),complement(converse(X_98)))) )],[refute_0_1590,refute_0_1591]) ).
cnf(refute_0_1593,plain,
join(complement(converse(complement(X_98))),converse(converse(complement(converse(X_98))))) = complement(meet(converse(X_98),converse(complement(X_98)))),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(X_98))),complement(converse(X_98))),complement(meet(converse(X_98),converse(complement(X_98))))) )],[refute_0_1585,refute_0_1592]) ).
cnf(refute_0_1594,plain,
( join(complement(converse(complement(X_98))),converse(converse(complement(converse(X_98))))) != complement(meet(converse(X_98),converse(complement(X_98))))
| join(complement(converse(complement(X_98))),converse(converse(complement(converse(X_98))))) != top
| complement(meet(converse(X_98),converse(complement(X_98)))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(complement(X_98))),converse(converse(complement(converse(X_98))))),top) ),[0],$fot(complement(meet(converse(X_98),converse(complement(X_98)))))]]) ).
cnf(refute_0_1595,plain,
( join(complement(converse(complement(X_98))),converse(converse(complement(converse(X_98))))) != top
| complement(meet(converse(X_98),converse(complement(X_98)))) = top ),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(X_98))),converse(converse(complement(converse(X_98))))),complement(meet(converse(X_98),converse(complement(X_98))))) )],[refute_0_1593,refute_0_1594]) ).
cnf(refute_0_1596,plain,
complement(meet(converse(X_98),converse(complement(X_98)))) = top,
inference(resolve,[$cnf( $equal(join(complement(converse(complement(X_98))),converse(converse(complement(converse(X_98))))),top) )],[refute_0_1526,refute_0_1595]) ).
cnf(refute_0_1597,plain,
complement(meet(converse(X_329),converse(complement(X_329)))) = top,
inference(subst,[],[refute_0_1596:[bind(X_98,$fot(X_329))]]) ).
cnf(refute_0_1598,plain,
( complement(meet(converse(X_329),converse(complement(X_329)))) != top
| join(meet(converse(X_329),converse(complement(X_329))),complement(composition(top,complement(meet(converse(X_329),converse(complement(X_329))))))) != meet(converse(X_329),converse(complement(X_329)))
| join(meet(converse(X_329),converse(complement(X_329))),complement(composition(top,top))) = meet(converse(X_329),converse(complement(X_329))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(converse(X_329),converse(complement(X_329))),complement(composition(top,complement(meet(converse(X_329),converse(complement(X_329))))))),meet(converse(X_329),converse(complement(X_329)))) ),[0,1,0,1],$fot(top)]]) ).
cnf(refute_0_1599,plain,
( join(meet(converse(X_329),converse(complement(X_329))),complement(composition(top,complement(meet(converse(X_329),converse(complement(X_329))))))) != meet(converse(X_329),converse(complement(X_329)))
| join(meet(converse(X_329),converse(complement(X_329))),complement(composition(top,top))) = meet(converse(X_329),converse(complement(X_329))) ),
inference(resolve,[$cnf( $equal(complement(meet(converse(X_329),converse(complement(X_329)))),top) )],[refute_0_1597,refute_0_1598]) ).
cnf(refute_0_1600,plain,
join(meet(converse(X_329),converse(complement(X_329))),complement(composition(top,top))) = meet(converse(X_329),converse(complement(X_329))),
inference(resolve,[$cnf( $equal(join(meet(converse(X_329),converse(complement(X_329))),complement(composition(top,complement(meet(converse(X_329),converse(complement(X_329))))))),meet(converse(X_329),converse(complement(X_329)))) )],[refute_0_1482,refute_0_1599]) ).
cnf(refute_0_1601,plain,
complement(composition(top,top)) = complement(composition(top,top)),
introduced(tautology,[refl,[$fot(complement(composition(top,top)))]]) ).
cnf(refute_0_1602,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_1603,plain,
( composition(top,top) != top
| complement(composition(top,top)) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(composition(top,top)),complement(composition(top,top))) )],[refute_0_1601,refute_0_1602]) ).
cnf(refute_0_1604,plain,
complement(composition(top,top)) = complement(top),
inference(resolve,[$cnf( $equal(composition(top,top),top) )],[refute_0_1398,refute_0_1603]) ).
cnf(refute_0_1605,plain,
( complement(composition(top,top)) != complement(top)
| complement(top) != zero
| complement(composition(top,top)) = zero ),
inference(subst,[],[refute_0_21:[bind(X,$fot(complement(composition(top,top)))),bind(Y,$fot(complement(top))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_1606,plain,
( complement(top) != zero
| complement(composition(top,top)) = zero ),
inference(resolve,[$cnf( $equal(complement(composition(top,top)),complement(top)) )],[refute_0_1604,refute_0_1605]) ).
cnf(refute_0_1607,plain,
complement(composition(top,top)) = zero,
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_109,refute_0_1606]) ).
cnf(refute_0_1608,plain,
complement(complement(join(X_143,complement(X_142)))) = join(X_143,complement(X_142)),
inference(subst,[],[refute_0_700:[bind(X_23,$fot(join(X_143,complement(X_142))))]]) ).
cnf(refute_0_1609,plain,
join(complement(X_19),complement(X_20)) = complement(meet(X_19,X_20)),
inference(subst,[],[refute_0_1581:[bind(X0,$fot(X_19)),bind(X1,$fot(X_20))]]) ).
cnf(refute_0_1610,plain,
meet(join(complement(X_19),complement(X_20)),X1) = meet(join(complement(X_19),complement(X_20)),X1),
introduced(tautology,[refl,[$fot(meet(join(complement(X_19),complement(X_20)),X1))]]) ).
cnf(refute_0_1611,plain,
( join(complement(X_19),complement(X_20)) != complement(meet(X_19,X_20))
| meet(join(complement(X_19),complement(X_20)),X1) != meet(join(complement(X_19),complement(X_20)),X1)
| meet(join(complement(X_19),complement(X_20)),X1) = meet(complement(meet(X_19,X_20)),X1) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(complement(X_19),complement(X_20)),X1),meet(join(complement(X_19),complement(X_20)),X1)) ),[1,0],$fot(complement(meet(X_19,X_20)))]]) ).
cnf(refute_0_1612,plain,
( join(complement(X_19),complement(X_20)) != complement(meet(X_19,X_20))
| meet(join(complement(X_19),complement(X_20)),X1) = meet(complement(meet(X_19,X_20)),X1) ),
inference(resolve,[$cnf( $equal(meet(join(complement(X_19),complement(X_20)),X1),meet(join(complement(X_19),complement(X_20)),X1)) )],[refute_0_1610,refute_0_1611]) ).
cnf(refute_0_1613,plain,
meet(join(complement(X_19),complement(X_20)),X1) = meet(complement(meet(X_19,X_20)),X1),
inference(resolve,[$cnf( $equal(join(complement(X_19),complement(X_20)),complement(meet(X_19,X_20))) )],[refute_0_1609,refute_0_1612]) ).
cnf(refute_0_1614,plain,
( meet(join(complement(X_19),complement(X_20)),X1) != complement(join(meet(X_19,X_20),complement(X1)))
| meet(join(complement(X_19),complement(X_20)),X1) != meet(complement(meet(X_19,X_20)),X1)
| meet(complement(meet(X_19,X_20)),X1) = complement(join(meet(X_19,X_20),complement(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(complement(X_19),complement(X_20)),X1),complement(join(meet(X_19,X_20),complement(X1)))) ),[0],$fot(meet(complement(meet(X_19,X_20)),X1))]]) ).
cnf(refute_0_1615,plain,
( meet(join(complement(X_19),complement(X_20)),X1) != complement(join(meet(X_19,X_20),complement(X1)))
| meet(complement(meet(X_19,X_20)),X1) = complement(join(meet(X_19,X_20),complement(X1))) ),
inference(resolve,[$cnf( $equal(meet(join(complement(X_19),complement(X_20)),X1),meet(complement(meet(X_19,X_20)),X1)) )],[refute_0_1613,refute_0_1614]) ).
cnf(refute_0_1616,plain,
meet(complement(meet(X_19,X_20)),X1) = complement(join(meet(X_19,X_20),complement(X1))),
inference(resolve,[$cnf( $equal(meet(join(complement(X_19),complement(X_20)),X1),complement(join(meet(X_19,X_20),complement(X1)))) )],[refute_0_100,refute_0_1615]) ).
cnf(refute_0_1617,plain,
meet(complement(meet(top,X_141)),X_139) = complement(join(meet(top,X_141),complement(X_139))),
inference(subst,[],[refute_0_1616:[bind(X1,$fot(X_139)),bind(X_19,$fot(top)),bind(X_20,$fot(X_141))]]) ).
cnf(refute_0_1618,plain,
complement(complement(X1)) = X1,
inference(subst,[],[refute_0_700:[bind(X_23,$fot(X1))]]) ).
cnf(refute_0_1619,plain,
( complement(complement(X1)) != X1
| meet(top,X1) != complement(complement(X1))
| meet(top,X1) = X1 ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,X1),complement(complement(X1))) ),[1],$fot(X1)]]) ).
cnf(refute_0_1620,plain,
( meet(top,X1) != complement(complement(X1))
| meet(top,X1) = X1 ),
inference(resolve,[$cnf( $equal(complement(complement(X1)),X1) )],[refute_0_1618,refute_0_1619]) ).
cnf(refute_0_1621,plain,
meet(top,X1) = X1,
inference(resolve,[$cnf( $equal(meet(top,X1),complement(complement(X1))) )],[refute_0_624,refute_0_1620]) ).
cnf(refute_0_1622,plain,
meet(top,X_141) = X_141,
inference(subst,[],[refute_0_1621:[bind(X1,$fot(X_141))]]) ).
cnf(refute_0_1623,plain,
( meet(complement(meet(top,X_141)),X_139) != complement(join(meet(top,X_141),complement(X_139)))
| meet(top,X_141) != X_141
| meet(complement(meet(top,X_141)),X_139) = complement(join(X_141,complement(X_139))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(meet(top,X_141)),X_139),complement(join(meet(top,X_141),complement(X_139)))) ),[1,0,0],$fot(X_141)]]) ).
cnf(refute_0_1624,plain,
( meet(complement(meet(top,X_141)),X_139) != complement(join(meet(top,X_141),complement(X_139)))
| meet(complement(meet(top,X_141)),X_139) = complement(join(X_141,complement(X_139))) ),
inference(resolve,[$cnf( $equal(meet(top,X_141),X_141) )],[refute_0_1622,refute_0_1623]) ).
cnf(refute_0_1625,plain,
meet(complement(meet(top,X_141)),X_139) = complement(join(X_141,complement(X_139))),
inference(resolve,[$cnf( $equal(meet(complement(meet(top,X_141)),X_139),complement(join(meet(top,X_141),complement(X_139)))) )],[refute_0_1617,refute_0_1624]) ).
cnf(refute_0_1626,plain,
complement(meet(top,X_141)) = complement(meet(top,X_141)),
introduced(tautology,[refl,[$fot(complement(meet(top,X_141)))]]) ).
cnf(refute_0_1627,plain,
( complement(meet(top,X_141)) != complement(meet(top,X_141))
| meet(top,X_141) != X_141
| complement(meet(top,X_141)) = complement(X_141) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(top,X_141)),complement(meet(top,X_141))) ),[1,0],$fot(X_141)]]) ).
cnf(refute_0_1628,plain,
( meet(top,X_141) != X_141
| complement(meet(top,X_141)) = complement(X_141) ),
inference(resolve,[$cnf( $equal(complement(meet(top,X_141)),complement(meet(top,X_141))) )],[refute_0_1626,refute_0_1627]) ).
cnf(refute_0_1629,plain,
complement(meet(top,X_141)) = complement(X_141),
inference(resolve,[$cnf( $equal(meet(top,X_141),X_141) )],[refute_0_1622,refute_0_1628]) ).
cnf(refute_0_1630,plain,
meet(complement(meet(top,X_141)),X_139) = meet(complement(meet(top,X_141)),X_139),
introduced(tautology,[refl,[$fot(meet(complement(meet(top,X_141)),X_139))]]) ).
cnf(refute_0_1631,plain,
( complement(meet(top,X_141)) != complement(X_141)
| meet(complement(meet(top,X_141)),X_139) != meet(complement(meet(top,X_141)),X_139)
| meet(complement(meet(top,X_141)),X_139) = meet(complement(X_141),X_139) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(meet(top,X_141)),X_139),meet(complement(meet(top,X_141)),X_139)) ),[1,0],$fot(complement(X_141))]]) ).
cnf(refute_0_1632,plain,
( complement(meet(top,X_141)) != complement(X_141)
| meet(complement(meet(top,X_141)),X_139) = meet(complement(X_141),X_139) ),
inference(resolve,[$cnf( $equal(meet(complement(meet(top,X_141)),X_139),meet(complement(meet(top,X_141)),X_139)) )],[refute_0_1630,refute_0_1631]) ).
cnf(refute_0_1633,plain,
meet(complement(meet(top,X_141)),X_139) = meet(complement(X_141),X_139),
inference(resolve,[$cnf( $equal(complement(meet(top,X_141)),complement(X_141)) )],[refute_0_1629,refute_0_1632]) ).
cnf(refute_0_1634,plain,
( meet(complement(meet(top,X_141)),X_139) != complement(join(X_141,complement(X_139)))
| meet(complement(meet(top,X_141)),X_139) != meet(complement(X_141),X_139)
| meet(complement(X_141),X_139) = complement(join(X_141,complement(X_139))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(meet(top,X_141)),X_139),complement(join(X_141,complement(X_139)))) ),[0],$fot(meet(complement(X_141),X_139))]]) ).
cnf(refute_0_1635,plain,
( meet(complement(meet(top,X_141)),X_139) != complement(join(X_141,complement(X_139)))
| meet(complement(X_141),X_139) = complement(join(X_141,complement(X_139))) ),
inference(resolve,[$cnf( $equal(meet(complement(meet(top,X_141)),X_139),meet(complement(X_141),X_139)) )],[refute_0_1633,refute_0_1634]) ).
cnf(refute_0_1636,plain,
meet(complement(X_141),X_139) = complement(join(X_141,complement(X_139))),
inference(resolve,[$cnf( $equal(meet(complement(meet(top,X_141)),X_139),complement(join(X_141,complement(X_139)))) )],[refute_0_1625,refute_0_1635]) ).
cnf(refute_0_1637,plain,
meet(complement(X_143),X_142) = complement(join(X_143,complement(X_142))),
inference(subst,[],[refute_0_1636:[bind(X_139,$fot(X_142)),bind(X_141,$fot(X_143))]]) ).
cnf(refute_0_1638,plain,
( meet(complement(X_143),X_142) != complement(join(X_143,complement(X_142)))
| complement(join(X_143,complement(X_142))) = meet(complement(X_143),X_142) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(meet(complement(X_143),X_142))),bind(Y,$fot(complement(join(X_143,complement(X_142)))))]]) ).
cnf(refute_0_1639,plain,
complement(join(X_143,complement(X_142))) = meet(complement(X_143),X_142),
inference(resolve,[$cnf( $equal(meet(complement(X_143),X_142),complement(join(X_143,complement(X_142)))) )],[refute_0_1637,refute_0_1638]) ).
cnf(refute_0_1640,plain,
( complement(complement(join(X_143,complement(X_142)))) != join(X_143,complement(X_142))
| complement(join(X_143,complement(X_142))) != meet(complement(X_143),X_142)
| complement(meet(complement(X_143),X_142)) = join(X_143,complement(X_142)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(join(X_143,complement(X_142)))),join(X_143,complement(X_142))) ),[0,0],$fot(meet(complement(X_143),X_142))]]) ).
cnf(refute_0_1641,plain,
( complement(complement(join(X_143,complement(X_142)))) != join(X_143,complement(X_142))
| complement(meet(complement(X_143),X_142)) = join(X_143,complement(X_142)) ),
inference(resolve,[$cnf( $equal(complement(join(X_143,complement(X_142))),meet(complement(X_143),X_142)) )],[refute_0_1639,refute_0_1640]) ).
cnf(refute_0_1642,plain,
complement(meet(complement(X_143),X_142)) = join(X_143,complement(X_142)),
inference(resolve,[$cnf( $equal(complement(complement(join(X_143,complement(X_142)))),join(X_143,complement(X_142))) )],[refute_0_1608,refute_0_1641]) ).
cnf(refute_0_1643,plain,
complement(meet(complement(meet(converse(X_329),converse(complement(X_329)))),X_142)) = join(meet(converse(X_329),converse(complement(X_329))),complement(X_142)),
inference(subst,[],[refute_0_1642:[bind(X_143,$fot(meet(converse(X_329),converse(complement(X_329)))))]]) ).
cnf(refute_0_1644,plain,
( complement(meet(complement(meet(converse(X_329),converse(complement(X_329)))),X_142)) != join(meet(converse(X_329),converse(complement(X_329))),complement(X_142))
| complement(meet(converse(X_329),converse(complement(X_329)))) != top
| complement(meet(top,X_142)) = join(meet(converse(X_329),converse(complement(X_329))),complement(X_142)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(complement(meet(converse(X_329),converse(complement(X_329)))),X_142)),join(meet(converse(X_329),converse(complement(X_329))),complement(X_142))) ),[0,0,0],$fot(top)]]) ).
cnf(refute_0_1645,plain,
( complement(meet(complement(meet(converse(X_329),converse(complement(X_329)))),X_142)) != join(meet(converse(X_329),converse(complement(X_329))),complement(X_142))
| complement(meet(top,X_142)) = join(meet(converse(X_329),converse(complement(X_329))),complement(X_142)) ),
inference(resolve,[$cnf( $equal(complement(meet(converse(X_329),converse(complement(X_329)))),top) )],[refute_0_1597,refute_0_1644]) ).
cnf(refute_0_1646,plain,
complement(meet(top,X_142)) = join(meet(converse(X_329),converse(complement(X_329))),complement(X_142)),
inference(resolve,[$cnf( $equal(complement(meet(complement(meet(converse(X_329),converse(complement(X_329)))),X_142)),join(meet(converse(X_329),converse(complement(X_329))),complement(X_142))) )],[refute_0_1643,refute_0_1645]) ).
cnf(refute_0_1647,plain,
meet(top,X_142) = X_142,
inference(subst,[],[refute_0_1621:[bind(X1,$fot(X_142))]]) ).
cnf(refute_0_1648,plain,
complement(meet(top,X_142)) = complement(meet(top,X_142)),
introduced(tautology,[refl,[$fot(complement(meet(top,X_142)))]]) ).
cnf(refute_0_1649,plain,
( complement(meet(top,X_142)) != complement(meet(top,X_142))
| meet(top,X_142) != X_142
| complement(meet(top,X_142)) = complement(X_142) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(top,X_142)),complement(meet(top,X_142))) ),[1,0],$fot(X_142)]]) ).
cnf(refute_0_1650,plain,
( meet(top,X_142) != X_142
| complement(meet(top,X_142)) = complement(X_142) ),
inference(resolve,[$cnf( $equal(complement(meet(top,X_142)),complement(meet(top,X_142))) )],[refute_0_1648,refute_0_1649]) ).
cnf(refute_0_1651,plain,
complement(meet(top,X_142)) = complement(X_142),
inference(resolve,[$cnf( $equal(meet(top,X_142),X_142) )],[refute_0_1647,refute_0_1650]) ).
cnf(refute_0_1652,plain,
( complement(meet(top,X_142)) != complement(X_142)
| complement(meet(top,X_142)) != join(meet(converse(X_329),converse(complement(X_329))),complement(X_142))
| complement(X_142) = join(meet(converse(X_329),converse(complement(X_329))),complement(X_142)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(top,X_142)),join(meet(converse(X_329),converse(complement(X_329))),complement(X_142))) ),[0],$fot(complement(X_142))]]) ).
cnf(refute_0_1653,plain,
( complement(meet(top,X_142)) != join(meet(converse(X_329),converse(complement(X_329))),complement(X_142))
| complement(X_142) = join(meet(converse(X_329),converse(complement(X_329))),complement(X_142)) ),
inference(resolve,[$cnf( $equal(complement(meet(top,X_142)),complement(X_142)) )],[refute_0_1651,refute_0_1652]) ).
cnf(refute_0_1654,plain,
complement(X_142) = join(meet(converse(X_329),converse(complement(X_329))),complement(X_142)),
inference(resolve,[$cnf( $equal(complement(meet(top,X_142)),join(meet(converse(X_329),converse(complement(X_329))),complement(X_142))) )],[refute_0_1646,refute_0_1653]) ).
cnf(refute_0_1655,plain,
( complement(X_142) != join(meet(converse(X_329),converse(complement(X_329))),complement(X_142))
| join(meet(converse(X_329),converse(complement(X_329))),complement(X_142)) = complement(X_142) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(complement(X_142))),bind(Y,$fot(join(meet(converse(X_329),converse(complement(X_329))),complement(X_142))))]]) ).
cnf(refute_0_1656,plain,
join(meet(converse(X_329),converse(complement(X_329))),complement(X_142)) = complement(X_142),
inference(resolve,[$cnf( $equal(complement(X_142),join(meet(converse(X_329),converse(complement(X_329))),complement(X_142))) )],[refute_0_1654,refute_0_1655]) ).
cnf(refute_0_1657,plain,
join(meet(converse(X_329),converse(complement(X_329))),complement(composition(top,top))) = complement(composition(top,top)),
inference(subst,[],[refute_0_1656:[bind(X_142,$fot(composition(top,top)))]]) ).
cnf(refute_0_1658,plain,
( complement(composition(top,top)) != zero
| join(meet(converse(X_329),converse(complement(X_329))),complement(composition(top,top))) != complement(composition(top,top))
| join(meet(converse(X_329),converse(complement(X_329))),complement(composition(top,top))) = zero ),
inference(subst,[],[refute_0_21:[bind(X,$fot(join(meet(converse(X_329),converse(complement(X_329))),complement(composition(top,top))))),bind(Y,$fot(complement(composition(top,top)))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_1659,plain,
( complement(composition(top,top)) != zero
| join(meet(converse(X_329),converse(complement(X_329))),complement(composition(top,top))) = zero ),
inference(resolve,[$cnf( $equal(join(meet(converse(X_329),converse(complement(X_329))),complement(composition(top,top))),complement(composition(top,top))) )],[refute_0_1657,refute_0_1658]) ).
cnf(refute_0_1660,plain,
join(meet(converse(X_329),converse(complement(X_329))),complement(composition(top,top))) = zero,
inference(resolve,[$cnf( $equal(complement(composition(top,top)),zero) )],[refute_0_1607,refute_0_1659]) ).
cnf(refute_0_1661,plain,
( join(meet(converse(X_329),converse(complement(X_329))),complement(composition(top,top))) != meet(converse(X_329),converse(complement(X_329)))
| join(meet(converse(X_329),converse(complement(X_329))),complement(composition(top,top))) != zero
| zero = meet(converse(X_329),converse(complement(X_329))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(converse(X_329),converse(complement(X_329))),complement(composition(top,top))),meet(converse(X_329),converse(complement(X_329)))) ),[0],$fot(zero)]]) ).
cnf(refute_0_1662,plain,
( join(meet(converse(X_329),converse(complement(X_329))),complement(composition(top,top))) != meet(converse(X_329),converse(complement(X_329)))
| zero = meet(converse(X_329),converse(complement(X_329))) ),
inference(resolve,[$cnf( $equal(join(meet(converse(X_329),converse(complement(X_329))),complement(composition(top,top))),zero) )],[refute_0_1660,refute_0_1661]) ).
cnf(refute_0_1663,plain,
zero = meet(converse(X_329),converse(complement(X_329))),
inference(resolve,[$cnf( $equal(join(meet(converse(X_329),converse(complement(X_329))),complement(composition(top,top))),meet(converse(X_329),converse(complement(X_329)))) )],[refute_0_1600,refute_0_1662]) ).
cnf(refute_0_1664,plain,
( zero != meet(converse(X_329),converse(complement(X_329)))
| meet(converse(X_329),converse(complement(X_329))) = zero ),
inference(subst,[],[refute_0_5:[bind(X,$fot(zero)),bind(Y,$fot(meet(converse(X_329),converse(complement(X_329)))))]]) ).
cnf(refute_0_1665,plain,
meet(converse(X_329),converse(complement(X_329))) = zero,
inference(resolve,[$cnf( $equal(zero,meet(converse(X_329),converse(complement(X_329)))) )],[refute_0_1663,refute_0_1664]) ).
cnf(refute_0_1666,plain,
meet(converse(X0),converse(complement(X0))) = zero,
inference(subst,[],[refute_0_1665:[bind(X_329,$fot(X0))]]) ).
cnf(refute_0_1667,plain,
join(complement(converse(X0)),meet(converse(X0),converse(complement(X0)))) = join(complement(converse(X0)),meet(converse(X0),converse(complement(X0)))),
introduced(tautology,[refl,[$fot(join(complement(converse(X0)),meet(converse(X0),converse(complement(X0)))))]]) ).
cnf(refute_0_1668,plain,
( join(complement(converse(X0)),meet(converse(X0),converse(complement(X0)))) != join(complement(converse(X0)),meet(converse(X0),converse(complement(X0))))
| meet(converse(X0),converse(complement(X0))) != zero
| join(complement(converse(X0)),meet(converse(X0),converse(complement(X0)))) = join(complement(converse(X0)),zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(X0)),meet(converse(X0),converse(complement(X0)))),join(complement(converse(X0)),meet(converse(X0),converse(complement(X0))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_1669,plain,
( meet(converse(X0),converse(complement(X0))) != zero
| join(complement(converse(X0)),meet(converse(X0),converse(complement(X0)))) = join(complement(converse(X0)),zero) ),
inference(resolve,[$cnf( $equal(join(complement(converse(X0)),meet(converse(X0),converse(complement(X0)))),join(complement(converse(X0)),meet(converse(X0),converse(complement(X0))))) )],[refute_0_1667,refute_0_1668]) ).
cnf(refute_0_1670,plain,
join(complement(converse(X0)),meet(converse(X0),converse(complement(X0)))) = join(complement(converse(X0)),zero),
inference(resolve,[$cnf( $equal(meet(converse(X0),converse(complement(X0))),zero) )],[refute_0_1666,refute_0_1669]) ).
cnf(refute_0_1671,plain,
( join(complement(converse(X0)),meet(converse(X0),converse(complement(X0)))) != join(complement(converse(X0)),zero)
| join(complement(converse(X0)),zero) != complement(converse(X0))
| join(complement(converse(X0)),meet(converse(X0),converse(complement(X0)))) = complement(converse(X0)) ),
inference(subst,[],[refute_0_21:[bind(X,$fot(join(complement(converse(X0)),meet(converse(X0),converse(complement(X0)))))),bind(Y,$fot(join(complement(converse(X0)),zero))),bind(Z,$fot(complement(converse(X0))))]]) ).
cnf(refute_0_1672,plain,
( join(complement(converse(X0)),zero) != complement(converse(X0))
| join(complement(converse(X0)),meet(converse(X0),converse(complement(X0)))) = complement(converse(X0)) ),
inference(resolve,[$cnf( $equal(join(complement(converse(X0)),meet(converse(X0),converse(complement(X0)))),join(complement(converse(X0)),zero)) )],[refute_0_1670,refute_0_1671]) ).
cnf(refute_0_1673,plain,
join(complement(converse(X0)),meet(converse(X0),converse(complement(X0)))) = complement(converse(X0)),
inference(resolve,[$cnf( $equal(join(complement(converse(X0)),zero),complement(converse(X0))) )],[refute_0_767,refute_0_1672]) ).
cnf(refute_0_1674,plain,
( converse(complement(X0)) != join(complement(converse(X0)),meet(converse(X0),converse(complement(X0))))
| join(complement(converse(X0)),meet(converse(X0),converse(complement(X0)))) != complement(converse(X0))
| converse(complement(X0)) = complement(converse(X0)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(complement(X0)),complement(converse(X0))) ),[0],$fot(join(complement(converse(X0)),meet(converse(X0),converse(complement(X0)))))]]) ).
cnf(refute_0_1675,plain,
( converse(complement(X0)) != join(complement(converse(X0)),meet(converse(X0),converse(complement(X0))))
| converse(complement(X0)) = complement(converse(X0)) ),
inference(resolve,[$cnf( $equal(join(complement(converse(X0)),meet(converse(X0),converse(complement(X0)))),complement(converse(X0))) )],[refute_0_1673,refute_0_1674]) ).
cnf(refute_0_1676,plain,
converse(complement(X0)) = complement(converse(X0)),
inference(resolve,[$cnf( $equal(converse(complement(X0)),join(complement(converse(X0)),meet(converse(X0),converse(complement(X0))))) )],[refute_0_750,refute_0_1675]) ).
cnf(refute_0_1677,plain,
converse(complement(skolemFOFtoCNF_X0)) = complement(converse(skolemFOFtoCNF_X0)),
inference(subst,[],[refute_0_1676:[bind(X0,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_1678,plain,
( complement(converse(skolemFOFtoCNF_X0)) != complement(converse(skolemFOFtoCNF_X0))
| converse(complement(skolemFOFtoCNF_X0)) != complement(converse(skolemFOFtoCNF_X0))
| converse(complement(skolemFOFtoCNF_X0)) = complement(converse(skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))) ),[1],$fot(complement(converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_1679,plain,
( complement(converse(skolemFOFtoCNF_X0)) != complement(converse(skolemFOFtoCNF_X0))
| converse(complement(skolemFOFtoCNF_X0)) = complement(converse(skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(converse(complement(skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))) )],[refute_0_1677,refute_0_1678]) ).
cnf(refute_0_1680,plain,
complement(converse(skolemFOFtoCNF_X0)) != complement(converse(skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(converse(complement(skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))) )],[refute_0_1679,refute_0_0]) ).
cnf(refute_0_1681,plain,
complement(converse(skolemFOFtoCNF_X0)) = complement(converse(skolemFOFtoCNF_X0)),
introduced(tautology,[refl,[$fot(complement(converse(skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_1682,plain,
$false,
inference(resolve,[$cnf( $equal(complement(converse(skolemFOFtoCNF_X0)),complement(converse(skolemFOFtoCNF_X0))) )],[refute_0_1681,refute_0_1680]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : REL004+1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n026.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Fri Jul 8 12:14:40 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 3.15/3.36 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.15/3.36
% 3.15/3.36 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.33/3.56
%------------------------------------------------------------------------------