TSTP Solution File: REL012+1 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : REL012+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Mon Jul 18 19:43:18 EDT 2022
% Result : Theorem 7.56s 7.72s
% Output : CNFRefutation 7.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 178
% Number of leaves : 553
% Syntax : Number of formulae : 2318 (1167 unt; 0 def)
% Number of atoms : 3984 (3983 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 3338 (1672 ~;1666 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 12 ( 2 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 2651 ( 43 sgn 81 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(maddux1_join_commutativity,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0) ).
fof(maddux2_join_associativity,axiom,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2) ).
fof(maddux3_a_kind_of_de_Morgan,axiom,
! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) ).
fof(maddux4_definiton_of_meet,axiom,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))) ).
fof(composition_associativity,axiom,
! [X0,X1,X2] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2) ).
fof(composition_identity,axiom,
! [X0] : composition(X0,one) = X0 ).
fof(composition_distributivity,axiom,
! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)) ).
fof(converse_idempotence,axiom,
! [X0] : converse(converse(X0)) = X0 ).
fof(converse_additivity,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)) ).
fof(converse_multiplicativity,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)) ).
fof(converse_cancellativity,axiom,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1) ).
fof(def_top,axiom,
! [X0] : top = join(X0,complement(X0)) ).
fof(def_zero,axiom,
! [X0] : zero = meet(X0,complement(X0)) ).
fof(goals,conjecture,
! [X0,X1] : join(composition(complement(composition(X0,X1)),converse(X1)),complement(X0)) = complement(X0) ).
fof(subgoal_0,plain,
! [X0,X1] : join(composition(complement(composition(X0,X1)),converse(X1)),complement(X0)) = complement(X0),
inference(strip,[],[goals]) ).
fof(negate_0_0,plain,
~ ! [X0,X1] : join(composition(complement(composition(X0,X1)),converse(X1)),complement(X0)) = complement(X0),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [X0,X1] : join(composition(complement(composition(X0,X1)),converse(X1)),complement(X0)) != complement(X0),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
join(composition(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),converse(skolemFOFtoCNF_X1)),complement(skolemFOFtoCNF_X0)) != complement(skolemFOFtoCNF_X0),
inference(skolemize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(canonicalize,[],[maddux1_join_commutativity]) ).
fof(normalize_0_3,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(specialize,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(canonicalize,[],[converse_additivity]) ).
fof(normalize_0_5,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(specialize,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
inference(canonicalize,[],[converse_cancellativity]) ).
fof(normalize_0_7,plain,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
inference(specialize,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(canonicalize,[],[converse_multiplicativity]) ).
fof(normalize_0_9,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(specialize,[],[normalize_0_8]) ).
fof(normalize_0_10,plain,
! [X0] : 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,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_13,plain,
! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
inference(specialize,[],[normalize_0_12]) ).
fof(normalize_0_14,plain,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
inference(canonicalize,[],[maddux4_definiton_of_meet]) ).
fof(normalize_0_15,plain,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
inference(specialize,[],[normalize_0_14]) ).
fof(normalize_0_16,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(canonicalize,[],[def_zero]) ).
fof(normalize_0_17,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(specialize,[],[normalize_0_16]) ).
fof(normalize_0_18,plain,
! [X0] : top = join(X0,complement(X0)),
inference(canonicalize,[],[def_top]) ).
fof(normalize_0_19,plain,
! [X0] : top = join(X0,complement(X0)),
inference(specialize,[],[normalize_0_18]) ).
fof(normalize_0_20,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(canonicalize,[],[maddux2_join_associativity]) ).
fof(normalize_0_21,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(specialize,[],[normalize_0_20]) ).
fof(normalize_0_22,plain,
! [X0] : composition(X0,one) = X0,
inference(canonicalize,[],[composition_identity]) ).
fof(normalize_0_23,plain,
! [X0] : composition(X0,one) = X0,
inference(specialize,[],[normalize_0_22]) ).
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,X1,X2] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
inference(canonicalize,[],[composition_associativity]) ).
fof(normalize_0_27,plain,
! [X0,X1,X2] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
inference(specialize,[],[normalize_0_26]) ).
cnf(refute_0_0,plain,
join(composition(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),converse(skolemFOFtoCNF_X1)),complement(skolemFOFtoCNF_X0)) != complement(skolemFOFtoCNF_X0),
inference(canonicalize,[],[normalize_0_1]) ).
cnf(refute_0_1,plain,
join(X0,X1) = join(X1,X0),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_2,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_3,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_4,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_2,refute_0_3]) ).
cnf(refute_0_5,plain,
( join(X0,X1) != join(X1,X0)
| join(X1,X0) = join(X0,X1) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(X0,X1))),bind(Y,$fot(join(X1,X0)))]]) ).
cnf(refute_0_6,plain,
join(X1,X0) = join(X0,X1),
inference(resolve,[$cnf( $equal(join(X0,X1),join(X1,X0)) )],[refute_0_1,refute_0_5]) ).
cnf(refute_0_7,plain,
join(composition(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),converse(skolemFOFtoCNF_X1)),complement(skolemFOFtoCNF_X0)) = join(complement(skolemFOFtoCNF_X0),composition(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),converse(skolemFOFtoCNF_X1))),
inference(subst,[],[refute_0_6:[bind(X0,$fot(complement(skolemFOFtoCNF_X0))),bind(X1,$fot(composition(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),converse(skolemFOFtoCNF_X1))))]]) ).
cnf(refute_0_8,plain,
( join(complement(skolemFOFtoCNF_X0),composition(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),converse(skolemFOFtoCNF_X1))) != complement(skolemFOFtoCNF_X0)
| join(composition(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),converse(skolemFOFtoCNF_X1)),complement(skolemFOFtoCNF_X0)) != join(complement(skolemFOFtoCNF_X0),composition(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),converse(skolemFOFtoCNF_X1)))
| join(composition(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),converse(skolemFOFtoCNF_X1)),complement(skolemFOFtoCNF_X0)) = complement(skolemFOFtoCNF_X0) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),converse(skolemFOFtoCNF_X1)),complement(skolemFOFtoCNF_X0)),join(complement(skolemFOFtoCNF_X0),composition(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),converse(skolemFOFtoCNF_X1)))) ),[1],$fot(complement(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_9,plain,
( join(complement(skolemFOFtoCNF_X0),composition(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),converse(skolemFOFtoCNF_X1))) != complement(skolemFOFtoCNF_X0)
| join(composition(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),converse(skolemFOFtoCNF_X1)),complement(skolemFOFtoCNF_X0)) = complement(skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(join(composition(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),converse(skolemFOFtoCNF_X1)),complement(skolemFOFtoCNF_X0)),join(complement(skolemFOFtoCNF_X0),composition(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),converse(skolemFOFtoCNF_X1)))) )],[refute_0_7,refute_0_8]) ).
cnf(refute_0_10,plain,
join(complement(skolemFOFtoCNF_X0),composition(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),converse(skolemFOFtoCNF_X1))) != complement(skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(join(composition(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),converse(skolemFOFtoCNF_X1)),complement(skolemFOFtoCNF_X0)),complement(skolemFOFtoCNF_X0)) )],[refute_0_9,refute_0_0]) ).
cnf(refute_0_11,plain,
converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(canonicalize,[],[normalize_0_5]) ).
cnf(refute_0_12,plain,
join(converse(X0),converse(X1)) = join(converse(X1),converse(X0)),
inference(subst,[],[refute_0_1:[bind(X0,$fot(converse(X0))),bind(X1,$fot(converse(X1)))]]) ).
cnf(refute_0_13,plain,
( converse(join(X0,X1)) != join(converse(X0),converse(X1))
| join(converse(X0),converse(X1)) != join(converse(X1),converse(X0))
| converse(join(X0,X1)) = join(converse(X1),converse(X0)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(join(X0,X1)),join(converse(X1),converse(X0))) ),[0],$fot(join(converse(X0),converse(X1)))]]) ).
cnf(refute_0_14,plain,
( converse(join(X0,X1)) != join(converse(X0),converse(X1))
| converse(join(X0,X1)) = join(converse(X1),converse(X0)) ),
inference(resolve,[$cnf( $equal(join(converse(X0),converse(X1)),join(converse(X1),converse(X0))) )],[refute_0_12,refute_0_13]) ).
cnf(refute_0_15,plain,
converse(join(X0,X1)) = join(converse(X1),converse(X0)),
inference(resolve,[$cnf( $equal(converse(join(X0,X1)),join(converse(X0),converse(X1))) )],[refute_0_11,refute_0_14]) ).
cnf(refute_0_16,plain,
( converse(join(X0,X1)) != join(converse(X0),converse(X1))
| join(converse(X0),converse(X1)) = converse(join(X0,X1)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(converse(join(X0,X1)))),bind(Y,$fot(join(converse(X0),converse(X1))))]]) ).
cnf(refute_0_17,plain,
join(converse(X0),converse(X1)) = converse(join(X0,X1)),
inference(resolve,[$cnf( $equal(converse(join(X0,X1)),join(converse(X0),converse(X1))) )],[refute_0_11,refute_0_16]) ).
cnf(refute_0_18,plain,
join(converse(X1),converse(X0)) = converse(join(X1,X0)),
inference(subst,[],[refute_0_17:[bind(X0,$fot(X1)),bind(X1,$fot(X0))]]) ).
cnf(refute_0_19,plain,
( converse(join(X0,X1)) != join(converse(X1),converse(X0))
| join(converse(X1),converse(X0)) != converse(join(X1,X0))
| converse(join(X0,X1)) = converse(join(X1,X0)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(join(X0,X1)),converse(join(X1,X0))) ),[0],$fot(join(converse(X1),converse(X0)))]]) ).
cnf(refute_0_20,plain,
( converse(join(X0,X1)) != join(converse(X1),converse(X0))
| converse(join(X0,X1)) = converse(join(X1,X0)) ),
inference(resolve,[$cnf( $equal(join(converse(X1),converse(X0)),converse(join(X1,X0))) )],[refute_0_18,refute_0_19]) ).
cnf(refute_0_21,plain,
converse(join(X0,X1)) = converse(join(X1,X0)),
inference(resolve,[$cnf( $equal(converse(join(X0,X1)),join(converse(X1),converse(X0))) )],[refute_0_15,refute_0_20]) ).
cnf(refute_0_22,plain,
converse(join(composition(X_427,complement(converse(composition(X_426,X_427)))),complement(converse(X_426)))) = converse(join(complement(converse(X_426)),composition(X_427,complement(converse(composition(X_426,X_427)))))),
inference(subst,[],[refute_0_21:[bind(X0,$fot(composition(X_427,complement(converse(composition(X_426,X_427)))))),bind(X1,$fot(complement(converse(X_426))))]]) ).
cnf(refute_0_23,plain,
join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_24,plain,
join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))),
inference(subst,[],[refute_0_6:[bind(X0,$fot(complement(X1))),bind(X1,$fot(composition(converse(X0),complement(composition(X0,X1)))))]]) ).
cnf(refute_0_25,plain,
( join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) != complement(X1)
| join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) != join(complement(X1),composition(converse(X0),complement(composition(X0,X1))))
| join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))) = complement(X1) ),
introduced(tautology,[equality,[$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_26,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( $equal(join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),join(complement(X1),composition(converse(X0),complement(composition(X0,X1))))) )],[refute_0_24,refute_0_25]) ).
cnf(refute_0_27,plain,
join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))) = complement(X1),
inference(resolve,[$cnf( $equal(join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),complement(X1)) )],[refute_0_23,refute_0_26]) ).
cnf(refute_0_28,plain,
join(complement(converse(X0)),composition(converse(converse(X1)),complement(composition(converse(X1),converse(X0))))) = complement(converse(X0)),
inference(subst,[],[refute_0_27:[bind(X0,$fot(converse(X1))),bind(X1,$fot(converse(X0)))]]) ).
cnf(refute_0_29,plain,
converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_30,plain,
( converse(composition(X0,X1)) != composition(converse(X1),converse(X0))
| composition(converse(X1),converse(X0)) = converse(composition(X0,X1)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(converse(composition(X0,X1)))),bind(Y,$fot(composition(converse(X1),converse(X0))))]]) ).
cnf(refute_0_31,plain,
composition(converse(X1),converse(X0)) = converse(composition(X0,X1)),
inference(resolve,[$cnf( $equal(converse(composition(X0,X1)),composition(converse(X1),converse(X0))) )],[refute_0_29,refute_0_30]) ).
cnf(refute_0_32,plain,
( composition(converse(X1),converse(X0)) != converse(composition(X0,X1))
| join(complement(converse(X0)),composition(converse(converse(X1)),complement(composition(converse(X1),converse(X0))))) != complement(converse(X0))
| join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))) = complement(converse(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(X0)),composition(converse(converse(X1)),complement(composition(converse(X1),converse(X0))))),complement(converse(X0))) ),[0,1,1,0],$fot(converse(composition(X0,X1)))]]) ).
cnf(refute_0_33,plain,
( join(complement(converse(X0)),composition(converse(converse(X1)),complement(composition(converse(X1),converse(X0))))) != complement(converse(X0))
| join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))) = complement(converse(X0)) ),
inference(resolve,[$cnf( $equal(composition(converse(X1),converse(X0)),converse(composition(X0,X1))) )],[refute_0_31,refute_0_32]) ).
cnf(refute_0_34,plain,
join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))) = complement(converse(X0)),
inference(resolve,[$cnf( $equal(join(complement(converse(X0)),composition(converse(converse(X1)),complement(composition(converse(X1),converse(X0))))),complement(converse(X0))) )],[refute_0_28,refute_0_33]) ).
cnf(refute_0_35,plain,
converse(converse(X0)) = X0,
inference(canonicalize,[],[normalize_0_11]) ).
cnf(refute_0_36,plain,
converse(converse(X1)) = X1,
inference(subst,[],[refute_0_35:[bind(X0,$fot(X1))]]) ).
cnf(refute_0_37,plain,
composition(converse(converse(X1)),complement(converse(composition(X0,X1)))) = composition(converse(converse(X1)),complement(converse(composition(X0,X1)))),
introduced(tautology,[refl,[$fot(composition(converse(converse(X1)),complement(converse(composition(X0,X1)))))]]) ).
cnf(refute_0_38,plain,
( composition(converse(converse(X1)),complement(converse(composition(X0,X1)))) != composition(converse(converse(X1)),complement(converse(composition(X0,X1))))
| converse(converse(X1)) != X1
| composition(converse(converse(X1)),complement(converse(composition(X0,X1)))) = composition(X1,complement(converse(composition(X0,X1)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(converse(X1)),complement(converse(composition(X0,X1)))),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))) ),[1,0],$fot(X1)]]) ).
cnf(refute_0_39,plain,
( converse(converse(X1)) != X1
| composition(converse(converse(X1)),complement(converse(composition(X0,X1)))) = composition(X1,complement(converse(composition(X0,X1)))) ),
inference(resolve,[$cnf( $equal(composition(converse(converse(X1)),complement(converse(composition(X0,X1)))),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))) )],[refute_0_37,refute_0_38]) ).
cnf(refute_0_40,plain,
composition(converse(converse(X1)),complement(converse(composition(X0,X1)))) = composition(X1,complement(converse(composition(X0,X1)))),
inference(resolve,[$cnf( $equal(converse(converse(X1)),X1) )],[refute_0_36,refute_0_39]) ).
cnf(refute_0_41,plain,
join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))) = join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))),
introduced(tautology,[refl,[$fot(join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))))]]) ).
cnf(refute_0_42,plain,
( composition(converse(converse(X1)),complement(converse(composition(X0,X1)))) != composition(X1,complement(converse(composition(X0,X1))))
| join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))) != join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1)))))
| join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))) = join(complement(converse(X0)),composition(X1,complement(converse(composition(X0,X1))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))),join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1)))))) ),[1,1],$fot(composition(X1,complement(converse(composition(X0,X1)))))]]) ).
cnf(refute_0_43,plain,
( composition(converse(converse(X1)),complement(converse(composition(X0,X1)))) != composition(X1,complement(converse(composition(X0,X1))))
| join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))) = join(complement(converse(X0)),composition(X1,complement(converse(composition(X0,X1))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))),join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1)))))) )],[refute_0_41,refute_0_42]) ).
cnf(refute_0_44,plain,
join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))) = join(complement(converse(X0)),composition(X1,complement(converse(composition(X0,X1))))),
inference(resolve,[$cnf( $equal(composition(converse(converse(X1)),complement(converse(composition(X0,X1)))),composition(X1,complement(converse(composition(X0,X1))))) )],[refute_0_40,refute_0_43]) ).
cnf(refute_0_45,plain,
( join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))) != complement(converse(X0))
| join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))) != join(complement(converse(X0)),composition(X1,complement(converse(composition(X0,X1)))))
| join(complement(converse(X0)),composition(X1,complement(converse(composition(X0,X1))))) = complement(converse(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))),complement(converse(X0))) ),[0],$fot(join(complement(converse(X0)),composition(X1,complement(converse(composition(X0,X1))))))]]) ).
cnf(refute_0_46,plain,
( join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))) != complement(converse(X0))
| join(complement(converse(X0)),composition(X1,complement(converse(composition(X0,X1))))) = complement(converse(X0)) ),
inference(resolve,[$cnf( $equal(join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))),join(complement(converse(X0)),composition(X1,complement(converse(composition(X0,X1)))))) )],[refute_0_44,refute_0_45]) ).
cnf(refute_0_47,plain,
join(complement(converse(X0)),composition(X1,complement(converse(composition(X0,X1))))) = complement(converse(X0)),
inference(resolve,[$cnf( $equal(join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))),complement(converse(X0))) )],[refute_0_34,refute_0_46]) ).
cnf(refute_0_48,plain,
join(complement(converse(X_426)),composition(X_427,complement(converse(composition(X_426,X_427))))) = complement(converse(X_426)),
inference(subst,[],[refute_0_47:[bind(X0,$fot(X_426)),bind(X1,$fot(X_427))]]) ).
cnf(refute_0_49,plain,
( converse(join(composition(X_427,complement(converse(composition(X_426,X_427)))),complement(converse(X_426)))) != converse(join(complement(converse(X_426)),composition(X_427,complement(converse(composition(X_426,X_427))))))
| join(complement(converse(X_426)),composition(X_427,complement(converse(composition(X_426,X_427))))) != complement(converse(X_426))
| converse(join(composition(X_427,complement(converse(composition(X_426,X_427)))),complement(converse(X_426)))) = converse(complement(converse(X_426))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(composition(X_427,complement(converse(composition(X_426,X_427)))),complement(converse(X_426)))),converse(join(complement(converse(X_426)),composition(X_427,complement(converse(composition(X_426,X_427))))))) ),[1,0],$fot(complement(converse(X_426)))]]) ).
cnf(refute_0_50,plain,
( converse(join(composition(X_427,complement(converse(composition(X_426,X_427)))),complement(converse(X_426)))) != converse(join(complement(converse(X_426)),composition(X_427,complement(converse(composition(X_426,X_427))))))
| converse(join(composition(X_427,complement(converse(composition(X_426,X_427)))),complement(converse(X_426)))) = converse(complement(converse(X_426))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(X_426)),composition(X_427,complement(converse(composition(X_426,X_427))))),complement(converse(X_426))) )],[refute_0_48,refute_0_49]) ).
cnf(refute_0_51,plain,
converse(join(composition(X_427,complement(converse(composition(X_426,X_427)))),complement(converse(X_426)))) = converse(complement(converse(X_426))),
inference(resolve,[$cnf( $equal(converse(join(composition(X_427,complement(converse(composition(X_426,X_427)))),complement(converse(X_426)))),converse(join(complement(converse(X_426)),composition(X_427,complement(converse(composition(X_426,X_427))))))) )],[refute_0_22,refute_0_50]) ).
cnf(refute_0_52,plain,
converse(composition(X_17,converse(X0))) = composition(converse(converse(X0)),converse(X_17)),
inference(subst,[],[refute_0_29:[bind(X0,$fot(X_17)),bind(X1,$fot(converse(X0)))]]) ).
cnf(refute_0_53,plain,
( converse(composition(X_17,converse(X0))) != composition(converse(converse(X0)),converse(X_17))
| converse(converse(X0)) != X0
| converse(composition(X_17,converse(X0))) = composition(X0,converse(X_17)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(X_17,converse(X0))),composition(converse(converse(X0)),converse(X_17))) ),[1,0],$fot(X0)]]) ).
cnf(refute_0_54,plain,
( converse(composition(X_17,converse(X0))) != composition(converse(converse(X0)),converse(X_17))
| converse(composition(X_17,converse(X0))) = composition(X0,converse(X_17)) ),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_0_35,refute_0_53]) ).
cnf(refute_0_55,plain,
converse(composition(X_17,converse(X0))) = composition(X0,converse(X_17)),
inference(resolve,[$cnf( $equal(converse(composition(X_17,converse(X0))),composition(converse(converse(X0)),converse(X_17))) )],[refute_0_52,refute_0_54]) ).
cnf(refute_0_56,plain,
converse(composition(X_17,converse(complement(X_276)))) = composition(complement(X_276),converse(X_17)),
inference(subst,[],[refute_0_55:[bind(X0,$fot(complement(X_276)))]]) ).
cnf(refute_0_57,plain,
X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
inference(canonicalize,[],[normalize_0_13]) ).
cnf(refute_0_58,plain,
join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),
inference(subst,[],[refute_0_6:[bind(X0,$fot(complement(join(complement(X0),X1)))),bind(X1,$fot(complement(join(complement(X0),complement(X1)))))]]) ).
cnf(refute_0_59,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_60,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( $equal(join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1))))) )],[refute_0_58,refute_0_59]) ).
cnf(refute_0_61,plain,
X0 = join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),
inference(resolve,[$cnf( $equal(X0,join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1)))) )],[refute_0_57,refute_0_60]) ).
cnf(refute_0_62,plain,
join(complement(join(complement(X0),X1)),meet(X0,X1)) = join(meet(X0,X1),complement(join(complement(X0),X1))),
inference(subst,[],[refute_0_6:[bind(X0,$fot(meet(X0,X1))),bind(X1,$fot(complement(join(complement(X0),X1))))]]) ).
cnf(refute_0_63,plain,
meet(X0,X1) = complement(join(complement(X0),complement(X1))),
inference(canonicalize,[],[normalize_0_15]) ).
cnf(refute_0_64,plain,
( meet(X0,X1) != complement(join(complement(X0),complement(X1)))
| complement(join(complement(X0),complement(X1))) = meet(X0,X1) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(meet(X0,X1))),bind(Y,$fot(complement(join(complement(X0),complement(X1)))))]]) ).
cnf(refute_0_65,plain,
complement(join(complement(X0),complement(X1))) = meet(X0,X1),
inference(resolve,[$cnf( $equal(meet(X0,X1),complement(join(complement(X0),complement(X1)))) )],[refute_0_63,refute_0_64]) ).
cnf(refute_0_66,plain,
join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),
introduced(tautology,[refl,[$fot(join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))))]]) ).
cnf(refute_0_67,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_68,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( $equal(join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1))))) )],[refute_0_66,refute_0_67]) ).
cnf(refute_0_69,plain,
join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = join(complement(join(complement(X0),X1)),meet(X0,X1)),
inference(resolve,[$cnf( $equal(complement(join(complement(X0),complement(X1))),meet(X0,X1)) )],[refute_0_65,refute_0_68]) ).
cnf(refute_0_70,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_71,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_4,refute_0_70]) ).
cnf(refute_0_72,plain,
( join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) != join(complement(join(complement(X0),X1)),meet(X0,X1))
| join(complement(join(complement(X0),X1)),meet(X0,X1)) != join(meet(X0,X1),complement(join(complement(X0),X1)))
| join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = join(meet(X0,X1),complement(join(complement(X0),X1))) ),
inference(subst,[],[refute_0_71:[bind(X,$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_73,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( $equal(join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),join(complement(join(complement(X0),X1)),meet(X0,X1))) )],[refute_0_69,refute_0_72]) ).
cnf(refute_0_74,plain,
join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = join(meet(X0,X1),complement(join(complement(X0),X1))),
inference(resolve,[$cnf( $equal(join(complement(join(complement(X0),X1)),meet(X0,X1)),join(meet(X0,X1),complement(join(complement(X0),X1)))) )],[refute_0_62,refute_0_73]) ).
cnf(refute_0_75,plain,
( X0 != join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1))))
| join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) != join(meet(X0,X1),complement(join(complement(X0),X1)))
| X0 = join(meet(X0,X1),complement(join(complement(X0),X1))) ),
introduced(tautology,[equality,[$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_76,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( $equal(join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),join(meet(X0,X1),complement(join(complement(X0),X1)))) )],[refute_0_74,refute_0_75]) ).
cnf(refute_0_77,plain,
X0 = join(meet(X0,X1),complement(join(complement(X0),X1))),
inference(resolve,[$cnf( $equal(X0,join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1))))) )],[refute_0_61,refute_0_76]) ).
cnf(refute_0_78,plain,
X_73 = join(meet(X_73,X_74),complement(join(complement(X_73),X_74))),
inference(subst,[],[refute_0_77:[bind(X0,$fot(X_73)),bind(X1,$fot(X_74))]]) ).
cnf(refute_0_79,plain,
meet(X_13,X_14) = complement(join(complement(X_13),complement(X_14))),
inference(subst,[],[refute_0_63:[bind(X0,$fot(X_13)),bind(X1,$fot(X_14))]]) ).
cnf(refute_0_80,plain,
join(complement(X_14),complement(X_13)) = join(complement(X_13),complement(X_14)),
inference(subst,[],[refute_0_1:[bind(X0,$fot(complement(X_14))),bind(X1,$fot(complement(X_13)))]]) ).
cnf(refute_0_81,plain,
( join(complement(X_14),complement(X_13)) != join(complement(X_13),complement(X_14))
| join(complement(X_13),complement(X_14)) = join(complement(X_14),complement(X_13)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(complement(X_14),complement(X_13)))),bind(Y,$fot(join(complement(X_13),complement(X_14))))]]) ).
cnf(refute_0_82,plain,
join(complement(X_13),complement(X_14)) = join(complement(X_14),complement(X_13)),
inference(resolve,[$cnf( $equal(join(complement(X_14),complement(X_13)),join(complement(X_13),complement(X_14))) )],[refute_0_80,refute_0_81]) ).
cnf(refute_0_83,plain,
( join(complement(X_13),complement(X_14)) != join(complement(X_14),complement(X_13))
| meet(X_13,X_14) != complement(join(complement(X_13),complement(X_14)))
| meet(X_13,X_14) = complement(join(complement(X_14),complement(X_13))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_13,X_14),complement(join(complement(X_13),complement(X_14)))) ),[1,0],$fot(join(complement(X_14),complement(X_13)))]]) ).
cnf(refute_0_84,plain,
( meet(X_13,X_14) != complement(join(complement(X_13),complement(X_14)))
| meet(X_13,X_14) = complement(join(complement(X_14),complement(X_13))) ),
inference(resolve,[$cnf( $equal(join(complement(X_13),complement(X_14)),join(complement(X_14),complement(X_13))) )],[refute_0_82,refute_0_83]) ).
cnf(refute_0_85,plain,
meet(X_13,X_14) = complement(join(complement(X_14),complement(X_13))),
inference(resolve,[$cnf( $equal(meet(X_13,X_14),complement(join(complement(X_13),complement(X_14)))) )],[refute_0_79,refute_0_84]) ).
cnf(refute_0_86,plain,
complement(join(complement(X_14),complement(X_13))) = meet(X_14,X_13),
inference(subst,[],[refute_0_65:[bind(X0,$fot(X_14)),bind(X1,$fot(X_13))]]) ).
cnf(refute_0_87,plain,
( complement(join(complement(X_14),complement(X_13))) != meet(X_14,X_13)
| meet(X_13,X_14) != complement(join(complement(X_14),complement(X_13)))
| meet(X_13,X_14) = meet(X_14,X_13) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_13,X_14),complement(join(complement(X_14),complement(X_13)))) ),[1],$fot(meet(X_14,X_13))]]) ).
cnf(refute_0_88,plain,
( meet(X_13,X_14) != complement(join(complement(X_14),complement(X_13)))
| meet(X_13,X_14) = meet(X_14,X_13) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_14),complement(X_13))),meet(X_14,X_13)) )],[refute_0_86,refute_0_87]) ).
cnf(refute_0_89,plain,
meet(X_13,X_14) = meet(X_14,X_13),
inference(resolve,[$cnf( $equal(meet(X_13,X_14),complement(join(complement(X_14),complement(X_13)))) )],[refute_0_85,refute_0_88]) ).
cnf(refute_0_90,plain,
meet(X_74,X_73) = meet(X_73,X_74),
inference(subst,[],[refute_0_89:[bind(X_13,$fot(X_74)),bind(X_14,$fot(X_73))]]) ).
cnf(refute_0_91,plain,
( meet(X_74,X_73) != meet(X_73,X_74)
| meet(X_73,X_74) = meet(X_74,X_73) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(meet(X_74,X_73))),bind(Y,$fot(meet(X_73,X_74)))]]) ).
cnf(refute_0_92,plain,
meet(X_73,X_74) = meet(X_74,X_73),
inference(resolve,[$cnf( $equal(meet(X_74,X_73),meet(X_73,X_74)) )],[refute_0_90,refute_0_91]) ).
cnf(refute_0_93,plain,
( X_73 != join(meet(X_73,X_74),complement(join(complement(X_73),X_74)))
| meet(X_73,X_74) != meet(X_74,X_73)
| X_73 = join(meet(X_74,X_73),complement(join(complement(X_73),X_74))) ),
introduced(tautology,[equality,[$cnf( $equal(X_73,join(meet(X_73,X_74),complement(join(complement(X_73),X_74)))) ),[1,0],$fot(meet(X_74,X_73))]]) ).
cnf(refute_0_94,plain,
( X_73 != join(meet(X_73,X_74),complement(join(complement(X_73),X_74)))
| X_73 = join(meet(X_74,X_73),complement(join(complement(X_73),X_74))) ),
inference(resolve,[$cnf( $equal(meet(X_73,X_74),meet(X_74,X_73)) )],[refute_0_92,refute_0_93]) ).
cnf(refute_0_95,plain,
X_73 = join(meet(X_74,X_73),complement(join(complement(X_73),X_74))),
inference(resolve,[$cnf( $equal(X_73,join(meet(X_73,X_74),complement(join(complement(X_73),X_74)))) )],[refute_0_78,refute_0_94]) ).
cnf(refute_0_96,plain,
meet(X0,join(zero,complement(X_16))) = complement(join(complement(X0),complement(join(zero,complement(X_16))))),
inference(subst,[],[refute_0_63:[bind(X1,$fot(join(zero,complement(X_16))))]]) ).
cnf(refute_0_97,plain,
meet(top,X1) = complement(join(complement(top),complement(X1))),
inference(subst,[],[refute_0_63:[bind(X0,$fot(top))]]) ).
cnf(refute_0_98,plain,
zero = meet(X0,complement(X0)),
inference(canonicalize,[],[normalize_0_17]) ).
cnf(refute_0_99,plain,
zero = meet(join(complement(X_13),complement(X_14)),complement(join(complement(X_13),complement(X_14)))),
inference(subst,[],[refute_0_98:[bind(X0,$fot(join(complement(X_13),complement(X_14))))]]) ).
cnf(refute_0_100,plain,
( meet(X_13,X_14) != complement(join(complement(X_13),complement(X_14)))
| complement(join(complement(X_13),complement(X_14))) = meet(X_13,X_14) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(meet(X_13,X_14))),bind(Y,$fot(complement(join(complement(X_13),complement(X_14)))))]]) ).
cnf(refute_0_101,plain,
complement(join(complement(X_13),complement(X_14))) = meet(X_13,X_14),
inference(resolve,[$cnf( $equal(meet(X_13,X_14),complement(join(complement(X_13),complement(X_14)))) )],[refute_0_79,refute_0_100]) ).
cnf(refute_0_102,plain,
( complement(join(complement(X_13),complement(X_14))) != meet(X_13,X_14)
| zero != meet(join(complement(X_13),complement(X_14)),complement(join(complement(X_13),complement(X_14))))
| zero = meet(join(complement(X_13),complement(X_14)),meet(X_13,X_14)) ),
introduced(tautology,[equality,[$cnf( $equal(zero,meet(join(complement(X_13),complement(X_14)),complement(join(complement(X_13),complement(X_14))))) ),[1,1],$fot(meet(X_13,X_14))]]) ).
cnf(refute_0_103,plain,
( zero != meet(join(complement(X_13),complement(X_14)),complement(join(complement(X_13),complement(X_14))))
| zero = meet(join(complement(X_13),complement(X_14)),meet(X_13,X_14)) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_13),complement(X_14))),meet(X_13,X_14)) )],[refute_0_101,refute_0_102]) ).
cnf(refute_0_104,plain,
zero = meet(join(complement(X_13),complement(X_14)),meet(X_13,X_14)),
inference(resolve,[$cnf( $equal(zero,meet(join(complement(X_13),complement(X_14)),complement(join(complement(X_13),complement(X_14))))) )],[refute_0_99,refute_0_103]) ).
cnf(refute_0_105,plain,
top = join(X0,complement(X0)),
inference(canonicalize,[],[normalize_0_19]) ).
cnf(refute_0_106,plain,
( top != join(X0,complement(X0))
| join(X0,complement(X0)) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(X0,complement(X0))))]]) ).
cnf(refute_0_107,plain,
join(X0,complement(X0)) = top,
inference(resolve,[$cnf( $equal(top,join(X0,complement(X0))) )],[refute_0_105,refute_0_106]) ).
cnf(refute_0_108,plain,
join(meet(X_13,X_14),complement(meet(X_13,X_14))) = top,
inference(subst,[],[refute_0_107:[bind(X0,$fot(meet(X_13,X_14)))]]) ).
cnf(refute_0_109,plain,
complement(join(meet(X_13,X_14),complement(meet(X_13,X_14)))) = complement(join(meet(X_13,X_14),complement(meet(X_13,X_14)))),
introduced(tautology,[refl,[$fot(complement(join(meet(X_13,X_14),complement(meet(X_13,X_14)))))]]) ).
cnf(refute_0_110,plain,
( complement(join(meet(X_13,X_14),complement(meet(X_13,X_14)))) != complement(join(meet(X_13,X_14),complement(meet(X_13,X_14))))
| join(meet(X_13,X_14),complement(meet(X_13,X_14))) != top
| complement(join(meet(X_13,X_14),complement(meet(X_13,X_14)))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(meet(X_13,X_14),complement(meet(X_13,X_14)))),complement(join(meet(X_13,X_14),complement(meet(X_13,X_14))))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_111,plain,
( join(meet(X_13,X_14),complement(meet(X_13,X_14))) != top
| complement(join(meet(X_13,X_14),complement(meet(X_13,X_14)))) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(join(meet(X_13,X_14),complement(meet(X_13,X_14)))),complement(join(meet(X_13,X_14),complement(meet(X_13,X_14))))) )],[refute_0_109,refute_0_110]) ).
cnf(refute_0_112,plain,
complement(join(meet(X_13,X_14),complement(meet(X_13,X_14)))) = complement(top),
inference(resolve,[$cnf( $equal(join(meet(X_13,X_14),complement(meet(X_13,X_14))),top) )],[refute_0_108,refute_0_111]) ).
cnf(refute_0_113,plain,
meet(join(complement(X_13),complement(X_14)),X1) = complement(join(complement(join(complement(X_13),complement(X_14))),complement(X1))),
inference(subst,[],[refute_0_63:[bind(X0,$fot(join(complement(X_13),complement(X_14))))]]) ).
cnf(refute_0_114,plain,
( complement(join(complement(X_13),complement(X_14))) != meet(X_13,X_14)
| meet(join(complement(X_13),complement(X_14)),X1) != complement(join(complement(join(complement(X_13),complement(X_14))),complement(X1)))
| meet(join(complement(X_13),complement(X_14)),X1) = complement(join(meet(X_13,X_14),complement(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(complement(X_13),complement(X_14)),X1),complement(join(complement(join(complement(X_13),complement(X_14))),complement(X1)))) ),[1,0,0],$fot(meet(X_13,X_14))]]) ).
cnf(refute_0_115,plain,
( meet(join(complement(X_13),complement(X_14)),X1) != complement(join(complement(join(complement(X_13),complement(X_14))),complement(X1)))
| meet(join(complement(X_13),complement(X_14)),X1) = complement(join(meet(X_13,X_14),complement(X1))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_13),complement(X_14))),meet(X_13,X_14)) )],[refute_0_101,refute_0_114]) ).
cnf(refute_0_116,plain,
meet(join(complement(X_13),complement(X_14)),X1) = complement(join(meet(X_13,X_14),complement(X1))),
inference(resolve,[$cnf( $equal(meet(join(complement(X_13),complement(X_14)),X1),complement(join(complement(join(complement(X_13),complement(X_14))),complement(X1)))) )],[refute_0_113,refute_0_115]) ).
cnf(refute_0_117,plain,
meet(join(complement(X_13),complement(X_14)),meet(X_13,X_14)) = complement(join(meet(X_13,X_14),complement(meet(X_13,X_14)))),
inference(subst,[],[refute_0_116:[bind(X1,$fot(meet(X_13,X_14)))]]) ).
cnf(refute_0_118,plain,
( complement(join(meet(X_13,X_14),complement(meet(X_13,X_14)))) != complement(top)
| meet(join(complement(X_13),complement(X_14)),meet(X_13,X_14)) != complement(join(meet(X_13,X_14),complement(meet(X_13,X_14))))
| meet(join(complement(X_13),complement(X_14)),meet(X_13,X_14)) = complement(top) ),
inference(subst,[],[refute_0_71:[bind(X,$fot(meet(join(complement(X_13),complement(X_14)),meet(X_13,X_14)))),bind(Y,$fot(complement(join(meet(X_13,X_14),complement(meet(X_13,X_14)))))),bind(Z,$fot(complement(top)))]]) ).
cnf(refute_0_119,plain,
( complement(join(meet(X_13,X_14),complement(meet(X_13,X_14)))) != complement(top)
| meet(join(complement(X_13),complement(X_14)),meet(X_13,X_14)) = complement(top) ),
inference(resolve,[$cnf( $equal(meet(join(complement(X_13),complement(X_14)),meet(X_13,X_14)),complement(join(meet(X_13,X_14),complement(meet(X_13,X_14))))) )],[refute_0_117,refute_0_118]) ).
cnf(refute_0_120,plain,
meet(join(complement(X_13),complement(X_14)),meet(X_13,X_14)) = complement(top),
inference(resolve,[$cnf( $equal(complement(join(meet(X_13,X_14),complement(meet(X_13,X_14)))),complement(top)) )],[refute_0_112,refute_0_119]) ).
cnf(refute_0_121,plain,
( meet(join(complement(X_13),complement(X_14)),meet(X_13,X_14)) != complement(top)
| zero != meet(join(complement(X_13),complement(X_14)),meet(X_13,X_14))
| zero = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(zero,meet(join(complement(X_13),complement(X_14)),meet(X_13,X_14))) ),[1],$fot(complement(top))]]) ).
cnf(refute_0_122,plain,
( zero != meet(join(complement(X_13),complement(X_14)),meet(X_13,X_14))
| zero = complement(top) ),
inference(resolve,[$cnf( $equal(meet(join(complement(X_13),complement(X_14)),meet(X_13,X_14)),complement(top)) )],[refute_0_120,refute_0_121]) ).
cnf(refute_0_123,plain,
zero = complement(top),
inference(resolve,[$cnf( $equal(zero,meet(join(complement(X_13),complement(X_14)),meet(X_13,X_14))) )],[refute_0_104,refute_0_122]) ).
cnf(refute_0_124,plain,
( zero != complement(top)
| complement(top) = zero ),
inference(subst,[],[refute_0_4:[bind(X,$fot(zero)),bind(Y,$fot(complement(top)))]]) ).
cnf(refute_0_125,plain,
complement(top) = zero,
inference(resolve,[$cnf( $equal(zero,complement(top)) )],[refute_0_123,refute_0_124]) ).
cnf(refute_0_126,plain,
( complement(top) != zero
| meet(top,X1) != complement(join(complement(top),complement(X1)))
| meet(top,X1) = complement(join(zero,complement(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,X1),complement(join(complement(top),complement(X1)))) ),[1,0,0],$fot(zero)]]) ).
cnf(refute_0_127,plain,
( meet(top,X1) != complement(join(complement(top),complement(X1)))
| meet(top,X1) = complement(join(zero,complement(X1))) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_125,refute_0_126]) ).
cnf(refute_0_128,plain,
meet(top,X1) = complement(join(zero,complement(X1))),
inference(resolve,[$cnf( $equal(meet(top,X1),complement(join(complement(top),complement(X1)))) )],[refute_0_97,refute_0_127]) ).
cnf(refute_0_129,plain,
meet(top,X_16) = complement(join(zero,complement(X_16))),
inference(subst,[],[refute_0_128:[bind(X1,$fot(X_16))]]) ).
cnf(refute_0_130,plain,
( meet(top,X_16) != complement(join(zero,complement(X_16)))
| complement(join(zero,complement(X_16))) = meet(top,X_16) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(meet(top,X_16))),bind(Y,$fot(complement(join(zero,complement(X_16)))))]]) ).
cnf(refute_0_131,plain,
complement(join(zero,complement(X_16))) = meet(top,X_16),
inference(resolve,[$cnf( $equal(meet(top,X_16),complement(join(zero,complement(X_16)))) )],[refute_0_129,refute_0_130]) ).
cnf(refute_0_132,plain,
( complement(join(zero,complement(X_16))) != meet(top,X_16)
| meet(X0,join(zero,complement(X_16))) != complement(join(complement(X0),complement(join(zero,complement(X_16)))))
| meet(X0,join(zero,complement(X_16))) = complement(join(complement(X0),meet(top,X_16))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X0,join(zero,complement(X_16))),complement(join(complement(X0),complement(join(zero,complement(X_16)))))) ),[1,0,1],$fot(meet(top,X_16))]]) ).
cnf(refute_0_133,plain,
( meet(X0,join(zero,complement(X_16))) != complement(join(complement(X0),complement(join(zero,complement(X_16)))))
| meet(X0,join(zero,complement(X_16))) = complement(join(complement(X0),meet(top,X_16))) ),
inference(resolve,[$cnf( $equal(complement(join(zero,complement(X_16))),meet(top,X_16)) )],[refute_0_131,refute_0_132]) ).
cnf(refute_0_134,plain,
meet(X0,join(zero,complement(X_16))) = complement(join(complement(X0),meet(top,X_16))),
inference(resolve,[$cnf( $equal(meet(X0,join(zero,complement(X_16))),complement(join(complement(X0),complement(join(zero,complement(X_16)))))) )],[refute_0_96,refute_0_133]) ).
cnf(refute_0_135,plain,
join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(canonicalize,[],[normalize_0_21]) ).
cnf(refute_0_136,plain,
join(zero,join(zero,X2)) = join(join(zero,zero),X2),
inference(subst,[],[refute_0_135:[bind(X0,$fot(zero)),bind(X1,$fot(zero))]]) ).
cnf(refute_0_137,plain,
join(complement(X_51),composition(converse(one),complement(composition(one,X_51)))) = complement(X_51),
inference(subst,[],[refute_0_27:[bind(X0,$fot(one)),bind(X1,$fot(X_51))]]) ).
cnf(refute_0_138,plain,
converse(composition(converse(X0),X_18)) = composition(converse(X_18),converse(converse(X0))),
inference(subst,[],[refute_0_29:[bind(X0,$fot(converse(X0))),bind(X1,$fot(X_18))]]) ).
cnf(refute_0_139,plain,
( converse(composition(converse(X0),X_18)) != composition(converse(X_18),converse(converse(X0)))
| converse(converse(X0)) != X0
| converse(composition(converse(X0),X_18)) = composition(converse(X_18),X0) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(X0),X_18)),composition(converse(X_18),converse(converse(X0)))) ),[1,1],$fot(X0)]]) ).
cnf(refute_0_140,plain,
( converse(composition(converse(X0),X_18)) != composition(converse(X_18),converse(converse(X0)))
| converse(composition(converse(X0),X_18)) = composition(converse(X_18),X0) ),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_0_35,refute_0_139]) ).
cnf(refute_0_141,plain,
converse(composition(converse(X0),X_18)) = composition(converse(X_18),X0),
inference(resolve,[$cnf( $equal(converse(composition(converse(X0),X_18)),composition(converse(X_18),converse(converse(X0)))) )],[refute_0_138,refute_0_140]) ).
cnf(refute_0_142,plain,
converse(composition(converse(X_19),one)) = composition(converse(one),X_19),
inference(subst,[],[refute_0_141:[bind(X0,$fot(X_19)),bind(X_18,$fot(one))]]) ).
cnf(refute_0_143,plain,
composition(X0,one) = X0,
inference(canonicalize,[],[normalize_0_23]) ).
cnf(refute_0_144,plain,
composition(converse(X_19),one) = converse(X_19),
inference(subst,[],[refute_0_143:[bind(X0,$fot(converse(X_19)))]]) ).
cnf(refute_0_145,plain,
( composition(converse(X_19),one) != converse(X_19)
| converse(composition(converse(X_19),one)) != composition(converse(one),X_19)
| converse(converse(X_19)) = composition(converse(one),X_19) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(X_19),one)),composition(converse(one),X_19)) ),[0,0],$fot(converse(X_19))]]) ).
cnf(refute_0_146,plain,
( converse(composition(converse(X_19),one)) != composition(converse(one),X_19)
| converse(converse(X_19)) = composition(converse(one),X_19) ),
inference(resolve,[$cnf( $equal(composition(converse(X_19),one),converse(X_19)) )],[refute_0_144,refute_0_145]) ).
cnf(refute_0_147,plain,
converse(converse(X_19)) = composition(converse(one),X_19),
inference(resolve,[$cnf( $equal(converse(composition(converse(X_19),one)),composition(converse(one),X_19)) )],[refute_0_142,refute_0_146]) ).
cnf(refute_0_148,plain,
converse(converse(X_19)) = X_19,
inference(subst,[],[refute_0_35:[bind(X0,$fot(X_19))]]) ).
cnf(refute_0_149,plain,
( converse(converse(X_19)) != X_19
| converse(converse(X_19)) != composition(converse(one),X_19)
| X_19 = composition(converse(one),X_19) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(X_19)),composition(converse(one),X_19)) ),[0],$fot(X_19)]]) ).
cnf(refute_0_150,plain,
( converse(converse(X_19)) != composition(converse(one),X_19)
| X_19 = composition(converse(one),X_19) ),
inference(resolve,[$cnf( $equal(converse(converse(X_19)),X_19) )],[refute_0_148,refute_0_149]) ).
cnf(refute_0_151,plain,
X_19 = composition(converse(one),X_19),
inference(resolve,[$cnf( $equal(converse(converse(X_19)),composition(converse(one),X_19)) )],[refute_0_147,refute_0_150]) ).
cnf(refute_0_152,plain,
composition(converse(one),one) = converse(one),
inference(subst,[],[refute_0_143:[bind(X0,$fot(converse(one)))]]) ).
cnf(refute_0_153,plain,
one = composition(converse(one),one),
inference(subst,[],[refute_0_151:[bind(X_19,$fot(one))]]) ).
cnf(refute_0_154,plain,
( one != composition(converse(one),one)
| composition(converse(one),one) = one ),
inference(subst,[],[refute_0_4:[bind(X,$fot(one)),bind(Y,$fot(composition(converse(one),one)))]]) ).
cnf(refute_0_155,plain,
composition(converse(one),one) = one,
inference(resolve,[$cnf( $equal(one,composition(converse(one),one)) )],[refute_0_153,refute_0_154]) ).
cnf(refute_0_156,plain,
( composition(converse(one),one) != converse(one)
| composition(converse(one),one) != one
| one = converse(one) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(one),one),converse(one)) ),[0],$fot(one)]]) ).
cnf(refute_0_157,plain,
( composition(converse(one),one) != converse(one)
| one = converse(one) ),
inference(resolve,[$cnf( $equal(composition(converse(one),one),one) )],[refute_0_155,refute_0_156]) ).
cnf(refute_0_158,plain,
one = converse(one),
inference(resolve,[$cnf( $equal(composition(converse(one),one),converse(one)) )],[refute_0_152,refute_0_157]) ).
cnf(refute_0_159,plain,
( one != converse(one)
| converse(one) = one ),
inference(subst,[],[refute_0_4:[bind(X,$fot(one)),bind(Y,$fot(converse(one)))]]) ).
cnf(refute_0_160,plain,
converse(one) = one,
inference(resolve,[$cnf( $equal(one,converse(one)) )],[refute_0_158,refute_0_159]) ).
cnf(refute_0_161,plain,
composition(converse(one),X_19) = composition(converse(one),X_19),
introduced(tautology,[refl,[$fot(composition(converse(one),X_19))]]) ).
cnf(refute_0_162,plain,
( composition(converse(one),X_19) != composition(converse(one),X_19)
| converse(one) != one
| composition(converse(one),X_19) = composition(one,X_19) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(one),X_19),composition(converse(one),X_19)) ),[1,0],$fot(one)]]) ).
cnf(refute_0_163,plain,
( converse(one) != one
| composition(converse(one),X_19) = composition(one,X_19) ),
inference(resolve,[$cnf( $equal(composition(converse(one),X_19),composition(converse(one),X_19)) )],[refute_0_161,refute_0_162]) ).
cnf(refute_0_164,plain,
composition(converse(one),X_19) = composition(one,X_19),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_160,refute_0_163]) ).
cnf(refute_0_165,plain,
( X_19 != composition(converse(one),X_19)
| composition(converse(one),X_19) != composition(one,X_19)
| X_19 = composition(one,X_19) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_19,composition(one,X_19)) ),[0],$fot(composition(converse(one),X_19))]]) ).
cnf(refute_0_166,plain,
( X_19 != composition(converse(one),X_19)
| X_19 = composition(one,X_19) ),
inference(resolve,[$cnf( $equal(composition(converse(one),X_19),composition(one,X_19)) )],[refute_0_164,refute_0_165]) ).
cnf(refute_0_167,plain,
X_19 = composition(one,X_19),
inference(resolve,[$cnf( $equal(X_19,composition(converse(one),X_19)) )],[refute_0_151,refute_0_166]) ).
cnf(refute_0_168,plain,
X_51 = composition(one,X_51),
inference(subst,[],[refute_0_167:[bind(X_19,$fot(X_51))]]) ).
cnf(refute_0_169,plain,
( X_51 != composition(one,X_51)
| composition(one,X_51) = X_51 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(X_51)),bind(Y,$fot(composition(one,X_51)))]]) ).
cnf(refute_0_170,plain,
composition(one,X_51) = X_51,
inference(resolve,[$cnf( $equal(X_51,composition(one,X_51)) )],[refute_0_168,refute_0_169]) ).
cnf(refute_0_171,plain,
( composition(one,X_51) != X_51
| join(complement(X_51),composition(converse(one),complement(composition(one,X_51)))) != complement(X_51)
| join(complement(X_51),composition(converse(one),complement(X_51))) = complement(X_51) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_51),composition(converse(one),complement(composition(one,X_51)))),complement(X_51)) ),[0,1,1,0],$fot(X_51)]]) ).
cnf(refute_0_172,plain,
( join(complement(X_51),composition(converse(one),complement(composition(one,X_51)))) != complement(X_51)
| join(complement(X_51),composition(converse(one),complement(X_51))) = complement(X_51) ),
inference(resolve,[$cnf( $equal(composition(one,X_51),X_51) )],[refute_0_170,refute_0_171]) ).
cnf(refute_0_173,plain,
join(complement(X_51),composition(converse(one),complement(X_51))) = complement(X_51),
inference(resolve,[$cnf( $equal(join(complement(X_51),composition(converse(one),complement(composition(one,X_51)))),complement(X_51)) )],[refute_0_137,refute_0_172]) ).
cnf(refute_0_174,plain,
( X_19 != composition(one,X_19)
| composition(one,X_19) = X_19 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(X_19)),bind(Y,$fot(composition(one,X_19)))]]) ).
cnf(refute_0_175,plain,
composition(one,X_19) = X_19,
inference(resolve,[$cnf( $equal(X_19,composition(one,X_19)) )],[refute_0_167,refute_0_174]) ).
cnf(refute_0_176,plain,
composition(one,complement(X_51)) = complement(X_51),
inference(subst,[],[refute_0_175:[bind(X_19,$fot(complement(X_51)))]]) ).
cnf(refute_0_177,plain,
composition(converse(one),complement(X_51)) = composition(converse(one),complement(X_51)),
introduced(tautology,[refl,[$fot(composition(converse(one),complement(X_51)))]]) ).
cnf(refute_0_178,plain,
( composition(converse(one),complement(X_51)) != composition(converse(one),complement(X_51))
| converse(one) != one
| composition(converse(one),complement(X_51)) = composition(one,complement(X_51)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(one),complement(X_51)),composition(converse(one),complement(X_51))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_179,plain,
( converse(one) != one
| composition(converse(one),complement(X_51)) = composition(one,complement(X_51)) ),
inference(resolve,[$cnf( $equal(composition(converse(one),complement(X_51)),composition(converse(one),complement(X_51))) )],[refute_0_177,refute_0_178]) ).
cnf(refute_0_180,plain,
composition(converse(one),complement(X_51)) = composition(one,complement(X_51)),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_160,refute_0_179]) ).
cnf(refute_0_181,plain,
( composition(converse(one),complement(X_51)) != composition(one,complement(X_51))
| composition(one,complement(X_51)) != complement(X_51)
| composition(converse(one),complement(X_51)) = complement(X_51) ),
inference(subst,[],[refute_0_71:[bind(X,$fot(composition(converse(one),complement(X_51)))),bind(Y,$fot(composition(one,complement(X_51)))),bind(Z,$fot(complement(X_51)))]]) ).
cnf(refute_0_182,plain,
( composition(one,complement(X_51)) != complement(X_51)
| composition(converse(one),complement(X_51)) = complement(X_51) ),
inference(resolve,[$cnf( $equal(composition(converse(one),complement(X_51)),composition(one,complement(X_51))) )],[refute_0_180,refute_0_181]) ).
cnf(refute_0_183,plain,
composition(converse(one),complement(X_51)) = complement(X_51),
inference(resolve,[$cnf( $equal(composition(one,complement(X_51)),complement(X_51)) )],[refute_0_176,refute_0_182]) ).
cnf(refute_0_184,plain,
join(complement(X_51),composition(converse(one),complement(X_51))) = join(complement(X_51),composition(converse(one),complement(X_51))),
introduced(tautology,[refl,[$fot(join(complement(X_51),composition(converse(one),complement(X_51))))]]) ).
cnf(refute_0_185,plain,
( composition(converse(one),complement(X_51)) != complement(X_51)
| join(complement(X_51),composition(converse(one),complement(X_51))) != join(complement(X_51),composition(converse(one),complement(X_51)))
| join(complement(X_51),composition(converse(one),complement(X_51))) = join(complement(X_51),complement(X_51)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_51),composition(converse(one),complement(X_51))),join(complement(X_51),composition(converse(one),complement(X_51)))) ),[1,1],$fot(complement(X_51))]]) ).
cnf(refute_0_186,plain,
( composition(converse(one),complement(X_51)) != complement(X_51)
| join(complement(X_51),composition(converse(one),complement(X_51))) = join(complement(X_51),complement(X_51)) ),
inference(resolve,[$cnf( $equal(join(complement(X_51),composition(converse(one),complement(X_51))),join(complement(X_51),composition(converse(one),complement(X_51)))) )],[refute_0_184,refute_0_185]) ).
cnf(refute_0_187,plain,
join(complement(X_51),composition(converse(one),complement(X_51))) = join(complement(X_51),complement(X_51)),
inference(resolve,[$cnf( $equal(composition(converse(one),complement(X_51)),complement(X_51)) )],[refute_0_183,refute_0_186]) ).
cnf(refute_0_188,plain,
( join(complement(X_51),composition(converse(one),complement(X_51))) != complement(X_51)
| join(complement(X_51),composition(converse(one),complement(X_51))) != join(complement(X_51),complement(X_51))
| join(complement(X_51),complement(X_51)) = complement(X_51) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_51),composition(converse(one),complement(X_51))),complement(X_51)) ),[0],$fot(join(complement(X_51),complement(X_51)))]]) ).
cnf(refute_0_189,plain,
( join(complement(X_51),composition(converse(one),complement(X_51))) != complement(X_51)
| join(complement(X_51),complement(X_51)) = complement(X_51) ),
inference(resolve,[$cnf( $equal(join(complement(X_51),composition(converse(one),complement(X_51))),join(complement(X_51),complement(X_51))) )],[refute_0_187,refute_0_188]) ).
cnf(refute_0_190,plain,
join(complement(X_51),complement(X_51)) = complement(X_51),
inference(resolve,[$cnf( $equal(join(complement(X_51),composition(converse(one),complement(X_51))),complement(X_51)) )],[refute_0_173,refute_0_189]) ).
cnf(refute_0_191,plain,
join(complement(top),complement(top)) = complement(top),
inference(subst,[],[refute_0_190:[bind(X_51,$fot(top))]]) ).
cnf(refute_0_192,plain,
( complement(top) != zero
| join(complement(top),complement(top)) != complement(top)
| join(complement(top),zero) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),complement(top)),complement(top)) ),[0,1],$fot(zero)]]) ).
cnf(refute_0_193,plain,
( join(complement(top),complement(top)) != complement(top)
| join(complement(top),zero) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_125,refute_0_192]) ).
cnf(refute_0_194,plain,
join(complement(top),zero) = complement(top),
inference(resolve,[$cnf( $equal(join(complement(top),complement(top)),complement(top)) )],[refute_0_191,refute_0_193]) ).
cnf(refute_0_195,plain,
join(zero,complement(top)) = join(zero,complement(top)),
introduced(tautology,[refl,[$fot(join(zero,complement(top)))]]) ).
cnf(refute_0_196,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_197,plain,
( complement(top) != zero
| join(zero,complement(top)) = join(zero,zero) ),
inference(resolve,[$cnf( $equal(join(zero,complement(top)),join(zero,complement(top))) )],[refute_0_195,refute_0_196]) ).
cnf(refute_0_198,plain,
join(zero,complement(top)) = join(zero,zero),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_125,refute_0_197]) ).
cnf(refute_0_199,plain,
join(complement(top),zero) = join(zero,complement(top)),
inference(subst,[],[refute_0_6:[bind(X0,$fot(zero)),bind(X1,$fot(complement(top)))]]) ).
cnf(refute_0_200,plain,
( join(complement(top),zero) != join(zero,complement(top))
| join(zero,complement(top)) != join(zero,zero)
| join(complement(top),zero) = join(zero,zero) ),
inference(subst,[],[refute_0_71:[bind(X,$fot(join(complement(top),zero))),bind(Y,$fot(join(zero,complement(top)))),bind(Z,$fot(join(zero,zero)))]]) ).
cnf(refute_0_201,plain,
( join(zero,complement(top)) != join(zero,zero)
| join(complement(top),zero) = join(zero,zero) ),
inference(resolve,[$cnf( $equal(join(complement(top),zero),join(zero,complement(top))) )],[refute_0_199,refute_0_200]) ).
cnf(refute_0_202,plain,
join(complement(top),zero) = join(zero,zero),
inference(resolve,[$cnf( $equal(join(zero,complement(top)),join(zero,zero)) )],[refute_0_198,refute_0_201]) ).
cnf(refute_0_203,plain,
( join(complement(top),zero) != complement(top)
| join(complement(top),zero) != join(zero,zero)
| join(zero,zero) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),zero),complement(top)) ),[0],$fot(join(zero,zero))]]) ).
cnf(refute_0_204,plain,
( join(complement(top),zero) != complement(top)
| join(zero,zero) = complement(top) ),
inference(resolve,[$cnf( $equal(join(complement(top),zero),join(zero,zero)) )],[refute_0_202,refute_0_203]) ).
cnf(refute_0_205,plain,
( complement(top) != zero
| join(zero,zero) != complement(top)
| join(zero,zero) = zero ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,zero),complement(top)) ),[1],$fot(zero)]]) ).
cnf(refute_0_206,plain,
( join(zero,zero) != complement(top)
| join(zero,zero) = zero ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_125,refute_0_205]) ).
cnf(refute_0_207,plain,
( join(complement(top),zero) != complement(top)
| join(zero,zero) = zero ),
inference(resolve,[$cnf( $equal(join(zero,zero),complement(top)) )],[refute_0_204,refute_0_206]) ).
cnf(refute_0_208,plain,
join(zero,zero) = zero,
inference(resolve,[$cnf( $equal(join(complement(top),zero),complement(top)) )],[refute_0_194,refute_0_207]) ).
cnf(refute_0_209,plain,
( join(zero,join(zero,X2)) != join(join(zero,zero),X2)
| join(zero,zero) != zero
| join(zero,join(zero,X2)) = join(zero,X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,join(zero,X2)),join(join(zero,zero),X2)) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_210,plain,
( join(zero,join(zero,X2)) != join(join(zero,zero),X2)
| join(zero,join(zero,X2)) = join(zero,X2) ),
inference(resolve,[$cnf( $equal(join(zero,zero),zero) )],[refute_0_208,refute_0_209]) ).
cnf(refute_0_211,plain,
join(zero,join(zero,X2)) = join(zero,X2),
inference(resolve,[$cnf( $equal(join(zero,join(zero,X2)),join(join(zero,zero),X2)) )],[refute_0_136,refute_0_210]) ).
cnf(refute_0_212,plain,
join(zero,join(zero,meet(X_75,top))) = join(zero,meet(X_75,top)),
inference(subst,[],[refute_0_211:[bind(X2,$fot(meet(X_75,top)))]]) ).
cnf(refute_0_213,plain,
X_73 = join(meet(X_73,top),complement(join(complement(X_73),top))),
inference(subst,[],[refute_0_77:[bind(X0,$fot(X_73)),bind(X1,$fot(top))]]) ).
cnf(refute_0_214,plain,
join(X_44,join(join(zero,complement(X_44)),X_46)) = join(join(X_44,join(zero,complement(X_44))),X_46),
inference(subst,[],[refute_0_135:[bind(X0,$fot(X_44)),bind(X1,$fot(join(zero,complement(X_44)))),bind(X2,$fot(X_46))]]) ).
cnf(refute_0_215,plain,
converse(join(converse(X0),X_5)) = join(converse(converse(X0)),converse(X_5)),
inference(subst,[],[refute_0_11:[bind(X0,$fot(converse(X0))),bind(X1,$fot(X_5))]]) ).
cnf(refute_0_216,plain,
( converse(converse(X0)) != X0
| converse(join(converse(X0),X_5)) != join(converse(converse(X0)),converse(X_5))
| converse(join(converse(X0),X_5)) = join(X0,converse(X_5)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X0),X_5)),join(converse(converse(X0)),converse(X_5))) ),[1,0],$fot(X0)]]) ).
cnf(refute_0_217,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( $equal(converse(converse(X0)),X0) )],[refute_0_35,refute_0_216]) ).
cnf(refute_0_218,plain,
converse(join(converse(X0),X_5)) = join(X0,converse(X_5)),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),X_5)),join(converse(converse(X0)),converse(X_5))) )],[refute_0_215,refute_0_217]) ).
cnf(refute_0_219,plain,
converse(join(converse(X0),converse(join(zero,complement(converse(converse(X0))))))) = join(X0,converse(converse(join(zero,complement(converse(converse(X0))))))),
inference(subst,[],[refute_0_218:[bind(X_5,$fot(converse(join(zero,complement(converse(converse(X0)))))))]]) ).
cnf(refute_0_220,plain,
converse(join(converse(X_8),complement(converse(X_8)))) = join(X_8,converse(complement(converse(X_8)))),
inference(subst,[],[refute_0_218:[bind(X0,$fot(X_8)),bind(X_5,$fot(complement(converse(X_8))))]]) ).
cnf(refute_0_221,plain,
top = join(converse(X_8),complement(converse(X_8))),
inference(subst,[],[refute_0_105:[bind(X0,$fot(converse(X_8)))]]) ).
cnf(refute_0_222,plain,
( top != join(converse(X_8),complement(converse(X_8)))
| join(converse(X_8),complement(converse(X_8))) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(converse(X_8),complement(converse(X_8)))))]]) ).
cnf(refute_0_223,plain,
join(converse(X_8),complement(converse(X_8))) = top,
inference(resolve,[$cnf( $equal(top,join(converse(X_8),complement(converse(X_8)))) )],[refute_0_221,refute_0_222]) ).
cnf(refute_0_224,plain,
( converse(join(converse(X_8),complement(converse(X_8)))) != join(X_8,converse(complement(converse(X_8))))
| join(converse(X_8),complement(converse(X_8))) != top
| converse(top) = join(X_8,converse(complement(converse(X_8)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X_8),complement(converse(X_8)))),join(X_8,converse(complement(converse(X_8))))) ),[0,0],$fot(top)]]) ).
cnf(refute_0_225,plain,
( converse(join(converse(X_8),complement(converse(X_8)))) != join(X_8,converse(complement(converse(X_8))))
| converse(top) = join(X_8,converse(complement(converse(X_8)))) ),
inference(resolve,[$cnf( $equal(join(converse(X_8),complement(converse(X_8))),top) )],[refute_0_223,refute_0_224]) ).
cnf(refute_0_226,plain,
converse(top) = join(X_8,converse(complement(converse(X_8)))),
inference(resolve,[$cnf( $equal(converse(join(converse(X_8),complement(converse(X_8)))),join(X_8,converse(complement(converse(X_8))))) )],[refute_0_220,refute_0_225]) ).
cnf(refute_0_227,plain,
converse(top) = join(join(X_4,converse(X0)),converse(complement(converse(join(X_4,converse(X0)))))),
inference(subst,[],[refute_0_226:[bind(X_8,$fot(join(X_4,converse(X0))))]]) ).
cnf(refute_0_228,plain,
converse(join(X_4,converse(X0))) = join(converse(X_4),converse(converse(X0))),
inference(subst,[],[refute_0_11:[bind(X0,$fot(X_4)),bind(X1,$fot(converse(X0)))]]) ).
cnf(refute_0_229,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_230,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( $equal(converse(converse(X0)),X0) )],[refute_0_35,refute_0_229]) ).
cnf(refute_0_231,plain,
converse(join(X_4,converse(X0))) = join(converse(X_4),X0),
inference(resolve,[$cnf( $equal(converse(join(X_4,converse(X0))),join(converse(X_4),converse(converse(X0)))) )],[refute_0_228,refute_0_230]) ).
cnf(refute_0_232,plain,
( converse(join(X_4,converse(X0))) != join(converse(X_4),X0)
| converse(top) != join(join(X_4,converse(X0)),converse(complement(converse(join(X_4,converse(X0))))))
| converse(top) = join(join(X_4,converse(X0)),converse(complement(join(converse(X_4),X0)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(top),join(join(X_4,converse(X0)),converse(complement(converse(join(X_4,converse(X0))))))) ),[1,1,0,0],$fot(join(converse(X_4),X0))]]) ).
cnf(refute_0_233,plain,
( converse(top) != join(join(X_4,converse(X0)),converse(complement(converse(join(X_4,converse(X0))))))
| converse(top) = join(join(X_4,converse(X0)),converse(complement(join(converse(X_4),X0)))) ),
inference(resolve,[$cnf( $equal(converse(join(X_4,converse(X0))),join(converse(X_4),X0)) )],[refute_0_231,refute_0_232]) ).
cnf(refute_0_234,plain,
converse(top) = join(join(X_4,converse(X0)),converse(complement(join(converse(X_4),X0)))),
inference(resolve,[$cnf( $equal(converse(top),join(join(X_4,converse(X0)),converse(complement(converse(join(X_4,converse(X0))))))) )],[refute_0_227,refute_0_233]) ).
cnf(refute_0_235,plain,
join(converse(X0),converse(complement(join(converse(X_4),X0)))) = converse(join(X0,complement(join(converse(X_4),X0)))),
inference(subst,[],[refute_0_17:[bind(X1,$fot(complement(join(converse(X_4),X0))))]]) ).
cnf(refute_0_236,plain,
join(X_4,join(converse(X0),converse(complement(join(converse(X_4),X0))))) = join(X_4,join(converse(X0),converse(complement(join(converse(X_4),X0))))),
introduced(tautology,[refl,[$fot(join(X_4,join(converse(X0),converse(complement(join(converse(X_4),X0))))))]]) ).
cnf(refute_0_237,plain,
( join(X_4,join(converse(X0),converse(complement(join(converse(X_4),X0))))) != join(X_4,join(converse(X0),converse(complement(join(converse(X_4),X0)))))
| join(converse(X0),converse(complement(join(converse(X_4),X0)))) != converse(join(X0,complement(join(converse(X_4),X0))))
| join(X_4,join(converse(X0),converse(complement(join(converse(X_4),X0))))) = join(X_4,converse(join(X0,complement(join(converse(X_4),X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_4,join(converse(X0),converse(complement(join(converse(X_4),X0))))),join(X_4,join(converse(X0),converse(complement(join(converse(X_4),X0)))))) ),[1,1],$fot(converse(join(X0,complement(join(converse(X_4),X0)))))]]) ).
cnf(refute_0_238,plain,
( join(converse(X0),converse(complement(join(converse(X_4),X0)))) != converse(join(X0,complement(join(converse(X_4),X0))))
| join(X_4,join(converse(X0),converse(complement(join(converse(X_4),X0))))) = join(X_4,converse(join(X0,complement(join(converse(X_4),X0))))) ),
inference(resolve,[$cnf( $equal(join(X_4,join(converse(X0),converse(complement(join(converse(X_4),X0))))),join(X_4,join(converse(X0),converse(complement(join(converse(X_4),X0)))))) )],[refute_0_236,refute_0_237]) ).
cnf(refute_0_239,plain,
join(X_4,join(converse(X0),converse(complement(join(converse(X_4),X0))))) = join(X_4,converse(join(X0,complement(join(converse(X_4),X0))))),
inference(resolve,[$cnf( $equal(join(converse(X0),converse(complement(join(converse(X_4),X0)))),converse(join(X0,complement(join(converse(X_4),X0))))) )],[refute_0_235,refute_0_238]) ).
cnf(refute_0_240,plain,
( join(X0,join(X1,X2)) != join(join(X0,X1),X2)
| join(join(X0,X1),X2) = join(X0,join(X1,X2)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(X0,join(X1,X2)))),bind(Y,$fot(join(join(X0,X1),X2)))]]) ).
cnf(refute_0_241,plain,
join(join(X0,X1),X2) = join(X0,join(X1,X2)),
inference(resolve,[$cnf( $equal(join(X0,join(X1,X2)),join(join(X0,X1),X2)) )],[refute_0_135,refute_0_240]) ).
cnf(refute_0_242,plain,
join(join(X_4,converse(X0)),converse(complement(join(converse(X_4),X0)))) = join(X_4,join(converse(X0),converse(complement(join(converse(X_4),X0))))),
inference(subst,[],[refute_0_241:[bind(X0,$fot(X_4)),bind(X1,$fot(converse(X0))),bind(X2,$fot(converse(complement(join(converse(X_4),X0)))))]]) ).
cnf(refute_0_243,plain,
( join(X_4,join(converse(X0),converse(complement(join(converse(X_4),X0))))) != join(X_4,converse(join(X0,complement(join(converse(X_4),X0)))))
| join(join(X_4,converse(X0)),converse(complement(join(converse(X_4),X0)))) != join(X_4,join(converse(X0),converse(complement(join(converse(X_4),X0)))))
| join(join(X_4,converse(X0)),converse(complement(join(converse(X_4),X0)))) = join(X_4,converse(join(X0,complement(join(converse(X_4),X0))))) ),
inference(subst,[],[refute_0_71:[bind(X,$fot(join(join(X_4,converse(X0)),converse(complement(join(converse(X_4),X0)))))),bind(Y,$fot(join(X_4,join(converse(X0),converse(complement(join(converse(X_4),X0))))))),bind(Z,$fot(join(X_4,converse(join(X0,complement(join(converse(X_4),X0)))))))]]) ).
cnf(refute_0_244,plain,
( join(X_4,join(converse(X0),converse(complement(join(converse(X_4),X0))))) != join(X_4,converse(join(X0,complement(join(converse(X_4),X0)))))
| join(join(X_4,converse(X0)),converse(complement(join(converse(X_4),X0)))) = join(X_4,converse(join(X0,complement(join(converse(X_4),X0))))) ),
inference(resolve,[$cnf( $equal(join(join(X_4,converse(X0)),converse(complement(join(converse(X_4),X0)))),join(X_4,join(converse(X0),converse(complement(join(converse(X_4),X0)))))) )],[refute_0_242,refute_0_243]) ).
cnf(refute_0_245,plain,
join(join(X_4,converse(X0)),converse(complement(join(converse(X_4),X0)))) = join(X_4,converse(join(X0,complement(join(converse(X_4),X0))))),
inference(resolve,[$cnf( $equal(join(X_4,join(converse(X0),converse(complement(join(converse(X_4),X0))))),join(X_4,converse(join(X0,complement(join(converse(X_4),X0)))))) )],[refute_0_239,refute_0_244]) ).
cnf(refute_0_246,plain,
( converse(top) != join(join(X_4,converse(X0)),converse(complement(join(converse(X_4),X0))))
| join(join(X_4,converse(X0)),converse(complement(join(converse(X_4),X0)))) != join(X_4,converse(join(X0,complement(join(converse(X_4),X0)))))
| converse(top) = join(X_4,converse(join(X0,complement(join(converse(X_4),X0))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(top),join(X_4,converse(join(X0,complement(join(converse(X_4),X0)))))) ),[0],$fot(join(join(X_4,converse(X0)),converse(complement(join(converse(X_4),X0)))))]]) ).
cnf(refute_0_247,plain,
( converse(top) != join(join(X_4,converse(X0)),converse(complement(join(converse(X_4),X0))))
| converse(top) = join(X_4,converse(join(X0,complement(join(converse(X_4),X0))))) ),
inference(resolve,[$cnf( $equal(join(join(X_4,converse(X0)),converse(complement(join(converse(X_4),X0)))),join(X_4,converse(join(X0,complement(join(converse(X_4),X0)))))) )],[refute_0_245,refute_0_246]) ).
cnf(refute_0_248,plain,
converse(top) = join(X_4,converse(join(X0,complement(join(converse(X_4),X0))))),
inference(resolve,[$cnf( $equal(converse(top),join(join(X_4,converse(X0)),converse(complement(join(converse(X_4),X0))))) )],[refute_0_234,refute_0_247]) ).
cnf(refute_0_249,plain,
converse(top) = join(X_38,converse(join(complement(converse(X_38)),complement(join(converse(X_38),complement(converse(X_38))))))),
inference(subst,[],[refute_0_248:[bind(X0,$fot(complement(converse(X_38)))),bind(X_4,$fot(X_38))]]) ).
cnf(refute_0_250,plain,
top = join(converse(X_38),complement(converse(X_38))),
inference(subst,[],[refute_0_105:[bind(X0,$fot(converse(X_38)))]]) ).
cnf(refute_0_251,plain,
( top != join(converse(X_38),complement(converse(X_38)))
| join(converse(X_38),complement(converse(X_38))) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(converse(X_38),complement(converse(X_38)))))]]) ).
cnf(refute_0_252,plain,
join(converse(X_38),complement(converse(X_38))) = top,
inference(resolve,[$cnf( $equal(top,join(converse(X_38),complement(converse(X_38)))) )],[refute_0_250,refute_0_251]) ).
cnf(refute_0_253,plain,
( converse(top) != join(X_38,converse(join(complement(converse(X_38)),complement(join(converse(X_38),complement(converse(X_38)))))))
| join(converse(X_38),complement(converse(X_38))) != top
| converse(top) = join(X_38,converse(join(complement(converse(X_38)),complement(top)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(top),join(X_38,converse(join(complement(converse(X_38)),complement(join(converse(X_38),complement(converse(X_38)))))))) ),[1,1,0,1,0],$fot(top)]]) ).
cnf(refute_0_254,plain,
( converse(top) != join(X_38,converse(join(complement(converse(X_38)),complement(join(converse(X_38),complement(converse(X_38)))))))
| converse(top) = join(X_38,converse(join(complement(converse(X_38)),complement(top)))) ),
inference(resolve,[$cnf( $equal(join(converse(X_38),complement(converse(X_38))),top) )],[refute_0_252,refute_0_253]) ).
cnf(refute_0_255,plain,
converse(top) = join(X_38,converse(join(complement(converse(X_38)),complement(top)))),
inference(resolve,[$cnf( $equal(converse(top),join(X_38,converse(join(complement(converse(X_38)),complement(join(converse(X_38),complement(converse(X_38)))))))) )],[refute_0_249,refute_0_254]) ).
cnf(refute_0_256,plain,
join(complement(top),complement(converse(X_38))) = join(complement(top),complement(converse(X_38))),
introduced(tautology,[refl,[$fot(join(complement(top),complement(converse(X_38))))]]) ).
cnf(refute_0_257,plain,
( complement(top) != zero
| join(complement(top),complement(converse(X_38))) != join(complement(top),complement(converse(X_38)))
| join(complement(top),complement(converse(X_38))) = join(zero,complement(converse(X_38))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),complement(converse(X_38))),join(complement(top),complement(converse(X_38)))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_258,plain,
( complement(top) != zero
| join(complement(top),complement(converse(X_38))) = join(zero,complement(converse(X_38))) ),
inference(resolve,[$cnf( $equal(join(complement(top),complement(converse(X_38))),join(complement(top),complement(converse(X_38)))) )],[refute_0_256,refute_0_257]) ).
cnf(refute_0_259,plain,
join(complement(top),complement(converse(X_38))) = join(zero,complement(converse(X_38))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_125,refute_0_258]) ).
cnf(refute_0_260,plain,
converse(join(complement(top),complement(converse(X_38)))) = converse(join(complement(top),complement(converse(X_38)))),
introduced(tautology,[refl,[$fot(converse(join(complement(top),complement(converse(X_38)))))]]) ).
cnf(refute_0_261,plain,
( converse(join(complement(top),complement(converse(X_38)))) != converse(join(complement(top),complement(converse(X_38))))
| join(complement(top),complement(converse(X_38))) != join(zero,complement(converse(X_38)))
| converse(join(complement(top),complement(converse(X_38)))) = converse(join(zero,complement(converse(X_38)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(complement(top),complement(converse(X_38)))),converse(join(complement(top),complement(converse(X_38))))) ),[1,0],$fot(join(zero,complement(converse(X_38))))]]) ).
cnf(refute_0_262,plain,
( join(complement(top),complement(converse(X_38))) != join(zero,complement(converse(X_38)))
| converse(join(complement(top),complement(converse(X_38)))) = converse(join(zero,complement(converse(X_38)))) ),
inference(resolve,[$cnf( $equal(converse(join(complement(top),complement(converse(X_38)))),converse(join(complement(top),complement(converse(X_38))))) )],[refute_0_260,refute_0_261]) ).
cnf(refute_0_263,plain,
converse(join(complement(top),complement(converse(X_38)))) = converse(join(zero,complement(converse(X_38)))),
inference(resolve,[$cnf( $equal(join(complement(top),complement(converse(X_38))),join(zero,complement(converse(X_38)))) )],[refute_0_259,refute_0_262]) ).
cnf(refute_0_264,plain,
join(X_38,converse(join(complement(top),complement(converse(X_38))))) = join(X_38,converse(join(complement(top),complement(converse(X_38))))),
introduced(tautology,[refl,[$fot(join(X_38,converse(join(complement(top),complement(converse(X_38))))))]]) ).
cnf(refute_0_265,plain,
( converse(join(complement(top),complement(converse(X_38)))) != converse(join(zero,complement(converse(X_38))))
| join(X_38,converse(join(complement(top),complement(converse(X_38))))) != join(X_38,converse(join(complement(top),complement(converse(X_38)))))
| join(X_38,converse(join(complement(top),complement(converse(X_38))))) = join(X_38,converse(join(zero,complement(converse(X_38))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_38,converse(join(complement(top),complement(converse(X_38))))),join(X_38,converse(join(complement(top),complement(converse(X_38)))))) ),[1,1],$fot(converse(join(zero,complement(converse(X_38)))))]]) ).
cnf(refute_0_266,plain,
( converse(join(complement(top),complement(converse(X_38)))) != converse(join(zero,complement(converse(X_38))))
| join(X_38,converse(join(complement(top),complement(converse(X_38))))) = join(X_38,converse(join(zero,complement(converse(X_38))))) ),
inference(resolve,[$cnf( $equal(join(X_38,converse(join(complement(top),complement(converse(X_38))))),join(X_38,converse(join(complement(top),complement(converse(X_38)))))) )],[refute_0_264,refute_0_265]) ).
cnf(refute_0_267,plain,
join(X_38,converse(join(complement(top),complement(converse(X_38))))) = join(X_38,converse(join(zero,complement(converse(X_38))))),
inference(resolve,[$cnf( $equal(converse(join(complement(top),complement(converse(X_38)))),converse(join(zero,complement(converse(X_38))))) )],[refute_0_263,refute_0_266]) ).
cnf(refute_0_268,plain,
converse(join(converse(X0),join(X_30,X_31))) = join(X0,converse(join(X_30,X_31))),
inference(subst,[],[refute_0_218:[bind(X_5,$fot(join(X_30,X_31)))]]) ).
cnf(refute_0_269,plain,
converse(join(X_30,X_31)) = converse(join(X_31,X_30)),
inference(subst,[],[refute_0_21:[bind(X0,$fot(X_30)),bind(X1,$fot(X_31))]]) ).
cnf(refute_0_270,plain,
( converse(join(X_30,X_31)) != converse(join(X_31,X_30))
| converse(join(converse(X0),join(X_30,X_31))) != join(X0,converse(join(X_30,X_31)))
| converse(join(converse(X0),join(X_30,X_31))) = join(X0,converse(join(X_31,X_30))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X0),join(X_30,X_31))),join(X0,converse(join(X_30,X_31)))) ),[1,1],$fot(converse(join(X_31,X_30)))]]) ).
cnf(refute_0_271,plain,
( converse(join(converse(X0),join(X_30,X_31))) != join(X0,converse(join(X_30,X_31)))
| converse(join(converse(X0),join(X_30,X_31))) = join(X0,converse(join(X_31,X_30))) ),
inference(resolve,[$cnf( $equal(converse(join(X_30,X_31)),converse(join(X_31,X_30))) )],[refute_0_269,refute_0_270]) ).
cnf(refute_0_272,plain,
converse(join(converse(X0),join(X_30,X_31))) = join(X0,converse(join(X_31,X_30))),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),join(X_30,X_31))),join(X0,converse(join(X_30,X_31)))) )],[refute_0_268,refute_0_271]) ).
cnf(refute_0_273,plain,
( converse(join(converse(X0),join(X_30,X_31))) != join(X0,converse(join(X_30,X_31)))
| converse(join(converse(X0),join(X_30,X_31))) != join(X0,converse(join(X_31,X_30)))
| join(X0,converse(join(X_30,X_31))) = join(X0,converse(join(X_31,X_30))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X0),join(X_30,X_31))),join(X0,converse(join(X_31,X_30)))) ),[0],$fot(join(X0,converse(join(X_30,X_31))))]]) ).
cnf(refute_0_274,plain,
( converse(join(converse(X0),join(X_30,X_31))) != join(X0,converse(join(X_31,X_30)))
| join(X0,converse(join(X_30,X_31))) = join(X0,converse(join(X_31,X_30))) ),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),join(X_30,X_31))),join(X0,converse(join(X_30,X_31)))) )],[refute_0_268,refute_0_273]) ).
cnf(refute_0_275,plain,
join(X0,converse(join(X_30,X_31))) = join(X0,converse(join(X_31,X_30))),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),join(X_30,X_31))),join(X0,converse(join(X_31,X_30)))) )],[refute_0_272,refute_0_274]) ).
cnf(refute_0_276,plain,
( join(X0,converse(join(X_30,X_31))) != join(X0,converse(join(X_31,X_30)))
| join(X0,converse(join(X_31,X_30))) = join(X0,converse(join(X_30,X_31))) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(X0,converse(join(X_30,X_31))))),bind(Y,$fot(join(X0,converse(join(X_31,X_30)))))]]) ).
cnf(refute_0_277,plain,
join(X0,converse(join(X_31,X_30))) = join(X0,converse(join(X_30,X_31))),
inference(resolve,[$cnf( $equal(join(X0,converse(join(X_30,X_31))),join(X0,converse(join(X_31,X_30)))) )],[refute_0_275,refute_0_276]) ).
cnf(refute_0_278,plain,
join(X_38,converse(join(complement(converse(X_38)),complement(top)))) = join(X_38,converse(join(complement(top),complement(converse(X_38))))),
inference(subst,[],[refute_0_277:[bind(X0,$fot(X_38)),bind(X_30,$fot(complement(top))),bind(X_31,$fot(complement(converse(X_38))))]]) ).
cnf(refute_0_279,plain,
( join(X_38,converse(join(complement(converse(X_38)),complement(top)))) != join(X_38,converse(join(complement(top),complement(converse(X_38)))))
| join(X_38,converse(join(complement(top),complement(converse(X_38))))) != join(X_38,converse(join(zero,complement(converse(X_38)))))
| join(X_38,converse(join(complement(converse(X_38)),complement(top)))) = join(X_38,converse(join(zero,complement(converse(X_38))))) ),
inference(subst,[],[refute_0_71:[bind(X,$fot(join(X_38,converse(join(complement(converse(X_38)),complement(top)))))),bind(Y,$fot(join(X_38,converse(join(complement(top),complement(converse(X_38))))))),bind(Z,$fot(join(X_38,converse(join(zero,complement(converse(X_38)))))))]]) ).
cnf(refute_0_280,plain,
( join(X_38,converse(join(complement(top),complement(converse(X_38))))) != join(X_38,converse(join(zero,complement(converse(X_38)))))
| join(X_38,converse(join(complement(converse(X_38)),complement(top)))) = join(X_38,converse(join(zero,complement(converse(X_38))))) ),
inference(resolve,[$cnf( $equal(join(X_38,converse(join(complement(converse(X_38)),complement(top)))),join(X_38,converse(join(complement(top),complement(converse(X_38)))))) )],[refute_0_278,refute_0_279]) ).
cnf(refute_0_281,plain,
join(X_38,converse(join(complement(converse(X_38)),complement(top)))) = join(X_38,converse(join(zero,complement(converse(X_38))))),
inference(resolve,[$cnf( $equal(join(X_38,converse(join(complement(top),complement(converse(X_38))))),join(X_38,converse(join(zero,complement(converse(X_38)))))) )],[refute_0_267,refute_0_280]) ).
cnf(refute_0_282,plain,
( converse(top) != join(X_38,converse(join(complement(converse(X_38)),complement(top))))
| join(X_38,converse(join(complement(converse(X_38)),complement(top)))) != join(X_38,converse(join(zero,complement(converse(X_38)))))
| converse(top) = join(X_38,converse(join(zero,complement(converse(X_38))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(top),join(X_38,converse(join(zero,complement(converse(X_38)))))) ),[0],$fot(join(X_38,converse(join(complement(converse(X_38)),complement(top)))))]]) ).
cnf(refute_0_283,plain,
( converse(top) != join(X_38,converse(join(complement(converse(X_38)),complement(top))))
| converse(top) = join(X_38,converse(join(zero,complement(converse(X_38))))) ),
inference(resolve,[$cnf( $equal(join(X_38,converse(join(complement(converse(X_38)),complement(top)))),join(X_38,converse(join(zero,complement(converse(X_38)))))) )],[refute_0_281,refute_0_282]) ).
cnf(refute_0_284,plain,
converse(top) = join(X_38,converse(join(zero,complement(converse(X_38))))),
inference(resolve,[$cnf( $equal(converse(top),join(X_38,converse(join(complement(converse(X_38)),complement(top))))) )],[refute_0_255,refute_0_283]) ).
cnf(refute_0_285,plain,
converse(top) = join(converse(X0),converse(join(zero,complement(converse(converse(X0)))))),
inference(subst,[],[refute_0_284:[bind(X_38,$fot(converse(X0)))]]) ).
cnf(refute_0_286,plain,
( converse(top) != join(converse(X0),converse(join(zero,complement(converse(converse(X0))))))
| join(converse(X0),converse(join(zero,complement(converse(converse(X0)))))) = converse(top) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(converse(top))),bind(Y,$fot(join(converse(X0),converse(join(zero,complement(converse(converse(X0))))))))]]) ).
cnf(refute_0_287,plain,
join(converse(X0),converse(join(zero,complement(converse(converse(X0)))))) = converse(top),
inference(resolve,[$cnf( $equal(converse(top),join(converse(X0),converse(join(zero,complement(converse(converse(X0))))))) )],[refute_0_285,refute_0_286]) ).
cnf(refute_0_288,plain,
( converse(join(converse(X0),converse(join(zero,complement(converse(converse(X0))))))) != join(X0,converse(converse(join(zero,complement(converse(converse(X0)))))))
| join(converse(X0),converse(join(zero,complement(converse(converse(X0)))))) != converse(top)
| converse(converse(top)) = join(X0,converse(converse(join(zero,complement(converse(converse(X0))))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X0),converse(join(zero,complement(converse(converse(X0))))))),join(X0,converse(converse(join(zero,complement(converse(converse(X0)))))))) ),[0,0],$fot(converse(top))]]) ).
cnf(refute_0_289,plain,
( converse(join(converse(X0),converse(join(zero,complement(converse(converse(X0))))))) != join(X0,converse(converse(join(zero,complement(converse(converse(X0)))))))
| converse(converse(top)) = join(X0,converse(converse(join(zero,complement(converse(converse(X0))))))) ),
inference(resolve,[$cnf( $equal(join(converse(X0),converse(join(zero,complement(converse(converse(X0)))))),converse(top)) )],[refute_0_287,refute_0_288]) ).
cnf(refute_0_290,plain,
converse(converse(top)) = join(X0,converse(converse(join(zero,complement(converse(converse(X0))))))),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),converse(join(zero,complement(converse(converse(X0))))))),join(X0,converse(converse(join(zero,complement(converse(converse(X0)))))))) )],[refute_0_219,refute_0_289]) ).
cnf(refute_0_291,plain,
converse(converse(top)) = top,
inference(subst,[],[refute_0_35:[bind(X0,$fot(top))]]) ).
cnf(refute_0_292,plain,
( converse(converse(top)) != join(X0,converse(converse(join(zero,complement(converse(converse(X0)))))))
| converse(converse(top)) != top
| top = join(X0,converse(converse(join(zero,complement(converse(converse(X0))))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(top)),join(X0,converse(converse(join(zero,complement(converse(converse(X0)))))))) ),[0],$fot(top)]]) ).
cnf(refute_0_293,plain,
( converse(converse(top)) != join(X0,converse(converse(join(zero,complement(converse(converse(X0)))))))
| top = join(X0,converse(converse(join(zero,complement(converse(converse(X0))))))) ),
inference(resolve,[$cnf( $equal(converse(converse(top)),top) )],[refute_0_291,refute_0_292]) ).
cnf(refute_0_294,plain,
complement(converse(converse(X0))) = complement(converse(converse(X0))),
introduced(tautology,[refl,[$fot(complement(converse(converse(X0))))]]) ).
cnf(refute_0_295,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_296,plain,
( converse(converse(X0)) != X0
| complement(converse(converse(X0))) = complement(X0) ),
inference(resolve,[$cnf( $equal(complement(converse(converse(X0))),complement(converse(converse(X0)))) )],[refute_0_294,refute_0_295]) ).
cnf(refute_0_297,plain,
complement(converse(converse(X0))) = complement(X0),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_0_35,refute_0_296]) ).
cnf(refute_0_298,plain,
join(zero,complement(converse(converse(X0)))) = join(zero,complement(converse(converse(X0)))),
introduced(tautology,[refl,[$fot(join(zero,complement(converse(converse(X0)))))]]) ).
cnf(refute_0_299,plain,
( complement(converse(converse(X0))) != complement(X0)
| join(zero,complement(converse(converse(X0)))) != join(zero,complement(converse(converse(X0))))
| join(zero,complement(converse(converse(X0)))) = join(zero,complement(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,complement(converse(converse(X0)))),join(zero,complement(converse(converse(X0))))) ),[1,1],$fot(complement(X0))]]) ).
cnf(refute_0_300,plain,
( complement(converse(converse(X0))) != complement(X0)
| join(zero,complement(converse(converse(X0)))) = join(zero,complement(X0)) ),
inference(resolve,[$cnf( $equal(join(zero,complement(converse(converse(X0)))),join(zero,complement(converse(converse(X0))))) )],[refute_0_298,refute_0_299]) ).
cnf(refute_0_301,plain,
join(zero,complement(converse(converse(X0)))) = join(zero,complement(X0)),
inference(resolve,[$cnf( $equal(complement(converse(converse(X0))),complement(X0)) )],[refute_0_297,refute_0_300]) ).
cnf(refute_0_302,plain,
converse(converse(join(zero,complement(converse(converse(X0)))))) = join(zero,complement(converse(converse(X0)))),
inference(subst,[],[refute_0_35:[bind(X0,$fot(join(zero,complement(converse(converse(X0))))))]]) ).
cnf(refute_0_303,plain,
( converse(converse(join(zero,complement(converse(converse(X0)))))) != join(zero,complement(converse(converse(X0))))
| join(zero,complement(converse(converse(X0)))) != join(zero,complement(X0))
| converse(converse(join(zero,complement(converse(converse(X0)))))) = join(zero,complement(X0)) ),
inference(subst,[],[refute_0_71:[bind(X,$fot(converse(converse(join(zero,complement(converse(converse(X0)))))))),bind(Y,$fot(join(zero,complement(converse(converse(X0)))))),bind(Z,$fot(join(zero,complement(X0))))]]) ).
cnf(refute_0_304,plain,
( join(zero,complement(converse(converse(X0)))) != join(zero,complement(X0))
| converse(converse(join(zero,complement(converse(converse(X0)))))) = join(zero,complement(X0)) ),
inference(resolve,[$cnf( $equal(converse(converse(join(zero,complement(converse(converse(X0)))))),join(zero,complement(converse(converse(X0))))) )],[refute_0_302,refute_0_303]) ).
cnf(refute_0_305,plain,
converse(converse(join(zero,complement(converse(converse(X0)))))) = join(zero,complement(X0)),
inference(resolve,[$cnf( $equal(join(zero,complement(converse(converse(X0)))),join(zero,complement(X0))) )],[refute_0_301,refute_0_304]) ).
cnf(refute_0_306,plain,
join(X0,converse(converse(join(zero,complement(converse(converse(X0))))))) = join(X0,converse(converse(join(zero,complement(converse(converse(X0))))))),
introduced(tautology,[refl,[$fot(join(X0,converse(converse(join(zero,complement(converse(converse(X0))))))))]]) ).
cnf(refute_0_307,plain,
( converse(converse(join(zero,complement(converse(converse(X0)))))) != join(zero,complement(X0))
| join(X0,converse(converse(join(zero,complement(converse(converse(X0))))))) != join(X0,converse(converse(join(zero,complement(converse(converse(X0)))))))
| join(X0,converse(converse(join(zero,complement(converse(converse(X0))))))) = join(X0,join(zero,complement(X0))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X0,converse(converse(join(zero,complement(converse(converse(X0))))))),join(X0,converse(converse(join(zero,complement(converse(converse(X0)))))))) ),[1,1],$fot(join(zero,complement(X0)))]]) ).
cnf(refute_0_308,plain,
( converse(converse(join(zero,complement(converse(converse(X0)))))) != join(zero,complement(X0))
| join(X0,converse(converse(join(zero,complement(converse(converse(X0))))))) = join(X0,join(zero,complement(X0))) ),
inference(resolve,[$cnf( $equal(join(X0,converse(converse(join(zero,complement(converse(converse(X0))))))),join(X0,converse(converse(join(zero,complement(converse(converse(X0)))))))) )],[refute_0_306,refute_0_307]) ).
cnf(refute_0_309,plain,
join(X0,converse(converse(join(zero,complement(converse(converse(X0))))))) = join(X0,join(zero,complement(X0))),
inference(resolve,[$cnf( $equal(converse(converse(join(zero,complement(converse(converse(X0)))))),join(zero,complement(X0))) )],[refute_0_305,refute_0_308]) ).
cnf(refute_0_310,plain,
( join(X0,converse(converse(join(zero,complement(converse(converse(X0))))))) != join(X0,join(zero,complement(X0)))
| top != join(X0,converse(converse(join(zero,complement(converse(converse(X0)))))))
| top = join(X0,join(zero,complement(X0))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(X0,converse(converse(join(zero,complement(converse(converse(X0)))))))) ),[1],$fot(join(X0,join(zero,complement(X0))))]]) ).
cnf(refute_0_311,plain,
( top != join(X0,converse(converse(join(zero,complement(converse(converse(X0)))))))
| top = join(X0,join(zero,complement(X0))) ),
inference(resolve,[$cnf( $equal(join(X0,converse(converse(join(zero,complement(converse(converse(X0))))))),join(X0,join(zero,complement(X0)))) )],[refute_0_309,refute_0_310]) ).
cnf(refute_0_312,plain,
( converse(converse(top)) != join(X0,converse(converse(join(zero,complement(converse(converse(X0)))))))
| top = join(X0,join(zero,complement(X0))) ),
inference(resolve,[$cnf( $equal(top,join(X0,converse(converse(join(zero,complement(converse(converse(X0)))))))) )],[refute_0_293,refute_0_311]) ).
cnf(refute_0_313,plain,
top = join(X0,join(zero,complement(X0))),
inference(resolve,[$cnf( $equal(converse(converse(top)),join(X0,converse(converse(join(zero,complement(converse(converse(X0)))))))) )],[refute_0_290,refute_0_312]) ).
cnf(refute_0_314,plain,
top = join(X_44,join(zero,complement(X_44))),
inference(subst,[],[refute_0_313:[bind(X0,$fot(X_44))]]) ).
cnf(refute_0_315,plain,
( top != join(X_44,join(zero,complement(X_44)))
| join(X_44,join(zero,complement(X_44))) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(X_44,join(zero,complement(X_44)))))]]) ).
cnf(refute_0_316,plain,
join(X_44,join(zero,complement(X_44))) = top,
inference(resolve,[$cnf( $equal(top,join(X_44,join(zero,complement(X_44)))) )],[refute_0_314,refute_0_315]) ).
cnf(refute_0_317,plain,
( join(X_44,join(join(zero,complement(X_44)),X_46)) != join(join(X_44,join(zero,complement(X_44))),X_46)
| join(X_44,join(zero,complement(X_44))) != top
| join(X_44,join(join(zero,complement(X_44)),X_46)) = join(top,X_46) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_44,join(join(zero,complement(X_44)),X_46)),join(join(X_44,join(zero,complement(X_44))),X_46)) ),[1,0],$fot(top)]]) ).
cnf(refute_0_318,plain,
( join(X_44,join(join(zero,complement(X_44)),X_46)) != join(join(X_44,join(zero,complement(X_44))),X_46)
| join(X_44,join(join(zero,complement(X_44)),X_46)) = join(top,X_46) ),
inference(resolve,[$cnf( $equal(join(X_44,join(zero,complement(X_44))),top) )],[refute_0_316,refute_0_317]) ).
cnf(refute_0_319,plain,
join(X_44,join(join(zero,complement(X_44)),X_46)) = join(top,X_46),
inference(resolve,[$cnf( $equal(join(X_44,join(join(zero,complement(X_44)),X_46)),join(join(X_44,join(zero,complement(X_44))),X_46)) )],[refute_0_214,refute_0_318]) ).
cnf(refute_0_320,plain,
join(join(zero,complement(X_44)),X_46) = join(zero,join(complement(X_44),X_46)),
inference(subst,[],[refute_0_241:[bind(X0,$fot(zero)),bind(X1,$fot(complement(X_44))),bind(X2,$fot(X_46))]]) ).
cnf(refute_0_321,plain,
join(X_44,join(join(zero,complement(X_44)),X_46)) = join(X_44,join(join(zero,complement(X_44)),X_46)),
introduced(tautology,[refl,[$fot(join(X_44,join(join(zero,complement(X_44)),X_46)))]]) ).
cnf(refute_0_322,plain,
( join(X_44,join(join(zero,complement(X_44)),X_46)) != join(X_44,join(join(zero,complement(X_44)),X_46))
| join(join(zero,complement(X_44)),X_46) != join(zero,join(complement(X_44),X_46))
| join(X_44,join(join(zero,complement(X_44)),X_46)) = join(X_44,join(zero,join(complement(X_44),X_46))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_44,join(join(zero,complement(X_44)),X_46)),join(X_44,join(join(zero,complement(X_44)),X_46))) ),[1,1],$fot(join(zero,join(complement(X_44),X_46)))]]) ).
cnf(refute_0_323,plain,
( join(join(zero,complement(X_44)),X_46) != join(zero,join(complement(X_44),X_46))
| join(X_44,join(join(zero,complement(X_44)),X_46)) = join(X_44,join(zero,join(complement(X_44),X_46))) ),
inference(resolve,[$cnf( $equal(join(X_44,join(join(zero,complement(X_44)),X_46)),join(X_44,join(join(zero,complement(X_44)),X_46))) )],[refute_0_321,refute_0_322]) ).
cnf(refute_0_324,plain,
join(X_44,join(join(zero,complement(X_44)),X_46)) = join(X_44,join(zero,join(complement(X_44),X_46))),
inference(resolve,[$cnf( $equal(join(join(zero,complement(X_44)),X_46),join(zero,join(complement(X_44),X_46))) )],[refute_0_320,refute_0_323]) ).
cnf(refute_0_325,plain,
( join(X_44,join(join(zero,complement(X_44)),X_46)) != join(X_44,join(zero,join(complement(X_44),X_46)))
| join(X_44,join(join(zero,complement(X_44)),X_46)) != join(top,X_46)
| join(X_44,join(zero,join(complement(X_44),X_46))) = join(top,X_46) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_44,join(join(zero,complement(X_44)),X_46)),join(top,X_46)) ),[0],$fot(join(X_44,join(zero,join(complement(X_44),X_46))))]]) ).
cnf(refute_0_326,plain,
( join(X_44,join(join(zero,complement(X_44)),X_46)) != join(top,X_46)
| join(X_44,join(zero,join(complement(X_44),X_46))) = join(top,X_46) ),
inference(resolve,[$cnf( $equal(join(X_44,join(join(zero,complement(X_44)),X_46)),join(X_44,join(zero,join(complement(X_44),X_46)))) )],[refute_0_324,refute_0_325]) ).
cnf(refute_0_327,plain,
join(X_44,join(zero,join(complement(X_44),X_46))) = join(top,X_46),
inference(resolve,[$cnf( $equal(join(X_44,join(join(zero,complement(X_44)),X_46)),join(top,X_46)) )],[refute_0_319,refute_0_326]) ).
cnf(refute_0_328,plain,
join(X_64,join(zero,join(complement(X_64),join(zero,complement(join(zero,complement(X_64))))))) = join(top,join(zero,complement(join(zero,complement(X_64))))),
inference(subst,[],[refute_0_327:[bind(X_44,$fot(X_64)),bind(X_46,$fot(join(zero,complement(join(zero,complement(X_64))))))]]) ).
cnf(refute_0_329,plain,
top = join(join(X_44,X_45),join(zero,complement(join(X_44,X_45)))),
inference(subst,[],[refute_0_313:[bind(X0,$fot(join(X_44,X_45)))]]) ).
cnf(refute_0_330,plain,
join(X_44,join(X_45,join(zero,complement(join(X_44,X_45))))) = join(join(X_44,X_45),join(zero,complement(join(X_44,X_45)))),
inference(subst,[],[refute_0_135:[bind(X0,$fot(X_44)),bind(X1,$fot(X_45)),bind(X2,$fot(join(zero,complement(join(X_44,X_45)))))]]) ).
cnf(refute_0_331,plain,
( join(X_44,join(X_45,join(zero,complement(join(X_44,X_45))))) != join(join(X_44,X_45),join(zero,complement(join(X_44,X_45))))
| join(join(X_44,X_45),join(zero,complement(join(X_44,X_45)))) = join(X_44,join(X_45,join(zero,complement(join(X_44,X_45))))) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(X_44,join(X_45,join(zero,complement(join(X_44,X_45))))))),bind(Y,$fot(join(join(X_44,X_45),join(zero,complement(join(X_44,X_45))))))]]) ).
cnf(refute_0_332,plain,
join(join(X_44,X_45),join(zero,complement(join(X_44,X_45)))) = join(X_44,join(X_45,join(zero,complement(join(X_44,X_45))))),
inference(resolve,[$cnf( $equal(join(X_44,join(X_45,join(zero,complement(join(X_44,X_45))))),join(join(X_44,X_45),join(zero,complement(join(X_44,X_45))))) )],[refute_0_330,refute_0_331]) ).
cnf(refute_0_333,plain,
( join(join(X_44,X_45),join(zero,complement(join(X_44,X_45)))) != join(X_44,join(X_45,join(zero,complement(join(X_44,X_45)))))
| top != join(join(X_44,X_45),join(zero,complement(join(X_44,X_45))))
| top = join(X_44,join(X_45,join(zero,complement(join(X_44,X_45))))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(join(X_44,X_45),join(zero,complement(join(X_44,X_45))))) ),[1],$fot(join(X_44,join(X_45,join(zero,complement(join(X_44,X_45))))))]]) ).
cnf(refute_0_334,plain,
( top != join(join(X_44,X_45),join(zero,complement(join(X_44,X_45))))
| top = join(X_44,join(X_45,join(zero,complement(join(X_44,X_45))))) ),
inference(resolve,[$cnf( $equal(join(join(X_44,X_45),join(zero,complement(join(X_44,X_45)))),join(X_44,join(X_45,join(zero,complement(join(X_44,X_45)))))) )],[refute_0_332,refute_0_333]) ).
cnf(refute_0_335,plain,
top = join(X_44,join(X_45,join(zero,complement(join(X_44,X_45))))),
inference(resolve,[$cnf( $equal(top,join(join(X_44,X_45),join(zero,complement(join(X_44,X_45))))) )],[refute_0_329,refute_0_334]) ).
cnf(refute_0_336,plain,
top = join(zero,join(complement(X_64),join(zero,complement(join(zero,complement(X_64)))))),
inference(subst,[],[refute_0_335:[bind(X_44,$fot(zero)),bind(X_45,$fot(complement(X_64)))]]) ).
cnf(refute_0_337,plain,
( top != join(zero,join(complement(X_64),join(zero,complement(join(zero,complement(X_64))))))
| join(zero,join(complement(X_64),join(zero,complement(join(zero,complement(X_64)))))) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(zero,join(complement(X_64),join(zero,complement(join(zero,complement(X_64))))))))]]) ).
cnf(refute_0_338,plain,
join(zero,join(complement(X_64),join(zero,complement(join(zero,complement(X_64)))))) = top,
inference(resolve,[$cnf( $equal(top,join(zero,join(complement(X_64),join(zero,complement(join(zero,complement(X_64))))))) )],[refute_0_336,refute_0_337]) ).
cnf(refute_0_339,plain,
( join(X_64,join(zero,join(complement(X_64),join(zero,complement(join(zero,complement(X_64))))))) != join(top,join(zero,complement(join(zero,complement(X_64)))))
| join(zero,join(complement(X_64),join(zero,complement(join(zero,complement(X_64)))))) != top
| join(X_64,top) = join(top,join(zero,complement(join(zero,complement(X_64))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_64,join(zero,join(complement(X_64),join(zero,complement(join(zero,complement(X_64))))))),join(top,join(zero,complement(join(zero,complement(X_64)))))) ),[0,1],$fot(top)]]) ).
cnf(refute_0_340,plain,
( join(X_64,join(zero,join(complement(X_64),join(zero,complement(join(zero,complement(X_64))))))) != join(top,join(zero,complement(join(zero,complement(X_64)))))
| join(X_64,top) = join(top,join(zero,complement(join(zero,complement(X_64))))) ),
inference(resolve,[$cnf( $equal(join(zero,join(complement(X_64),join(zero,complement(join(zero,complement(X_64)))))),top) )],[refute_0_338,refute_0_339]) ).
cnf(refute_0_341,plain,
join(X_64,top) = join(top,join(zero,complement(join(zero,complement(X_64))))),
inference(resolve,[$cnf( $equal(join(X_64,join(zero,join(complement(X_64),join(zero,complement(join(zero,complement(X_64))))))),join(top,join(zero,complement(join(zero,complement(X_64)))))) )],[refute_0_328,refute_0_340]) ).
cnf(refute_0_342,plain,
join(X_64,join(zero,join(complement(X_64),complement(X_64)))) = join(top,complement(X_64)),
inference(subst,[],[refute_0_327:[bind(X_44,$fot(X_64)),bind(X_46,$fot(complement(X_64)))]]) ).
cnf(refute_0_343,plain,
join(complement(X_64),complement(X_64)) = complement(X_64),
inference(subst,[],[refute_0_190:[bind(X_51,$fot(X_64))]]) ).
cnf(refute_0_344,plain,
( join(X_64,join(zero,join(complement(X_64),complement(X_64)))) != join(top,complement(X_64))
| join(complement(X_64),complement(X_64)) != complement(X_64)
| join(X_64,join(zero,complement(X_64))) = join(top,complement(X_64)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_64,join(zero,join(complement(X_64),complement(X_64)))),join(top,complement(X_64))) ),[0,1,1],$fot(complement(X_64))]]) ).
cnf(refute_0_345,plain,
( join(X_64,join(zero,join(complement(X_64),complement(X_64)))) != join(top,complement(X_64))
| join(X_64,join(zero,complement(X_64))) = join(top,complement(X_64)) ),
inference(resolve,[$cnf( $equal(join(complement(X_64),complement(X_64)),complement(X_64)) )],[refute_0_343,refute_0_344]) ).
cnf(refute_0_346,plain,
join(X_64,join(zero,complement(X_64))) = join(top,complement(X_64)),
inference(resolve,[$cnf( $equal(join(X_64,join(zero,join(complement(X_64),complement(X_64)))),join(top,complement(X_64))) )],[refute_0_342,refute_0_345]) ).
cnf(refute_0_347,plain,
( top != join(X0,join(zero,complement(X0)))
| join(X0,join(zero,complement(X0))) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(X0,join(zero,complement(X0)))))]]) ).
cnf(refute_0_348,plain,
join(X0,join(zero,complement(X0))) = top,
inference(resolve,[$cnf( $equal(top,join(X0,join(zero,complement(X0)))) )],[refute_0_313,refute_0_347]) ).
cnf(refute_0_349,plain,
join(X_64,join(zero,complement(X_64))) = top,
inference(subst,[],[refute_0_348:[bind(X0,$fot(X_64))]]) ).
cnf(refute_0_350,plain,
( join(X_64,join(zero,complement(X_64))) != join(top,complement(X_64))
| join(X_64,join(zero,complement(X_64))) != top
| top = join(top,complement(X_64)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_64,join(zero,complement(X_64))),join(top,complement(X_64))) ),[0],$fot(top)]]) ).
cnf(refute_0_351,plain,
( join(X_64,join(zero,complement(X_64))) != join(top,complement(X_64))
| top = join(top,complement(X_64)) ),
inference(resolve,[$cnf( $equal(join(X_64,join(zero,complement(X_64))),top) )],[refute_0_349,refute_0_350]) ).
cnf(refute_0_352,plain,
top = join(top,complement(X_64)),
inference(resolve,[$cnf( $equal(join(X_64,join(zero,complement(X_64))),join(top,complement(X_64))) )],[refute_0_346,refute_0_351]) ).
cnf(refute_0_353,plain,
( top != join(top,complement(X_64))
| join(top,complement(X_64)) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(top,complement(X_64))))]]) ).
cnf(refute_0_354,plain,
join(top,complement(X_64)) = top,
inference(resolve,[$cnf( $equal(top,join(top,complement(X_64))) )],[refute_0_352,refute_0_353]) ).
cnf(refute_0_355,plain,
join(top,complement(join(zero,complement(X_64)))) = top,
inference(subst,[],[refute_0_354:[bind(X_64,$fot(join(zero,complement(X_64))))]]) ).
cnf(refute_0_356,plain,
join(top,join(zero,X_46)) = join(join(top,zero),X_46),
inference(subst,[],[refute_0_135:[bind(X0,$fot(top)),bind(X1,$fot(zero)),bind(X2,$fot(X_46))]]) ).
cnf(refute_0_357,plain,
top = join(top,complement(top)),
inference(subst,[],[refute_0_105:[bind(X0,$fot(top))]]) ).
cnf(refute_0_358,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_359,plain,
( top != join(top,complement(top))
| top = join(top,zero) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_125,refute_0_358]) ).
cnf(refute_0_360,plain,
top = join(top,zero),
inference(resolve,[$cnf( $equal(top,join(top,complement(top))) )],[refute_0_357,refute_0_359]) ).
cnf(refute_0_361,plain,
( top != join(top,zero)
| join(top,zero) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(top,zero)))]]) ).
cnf(refute_0_362,plain,
join(top,zero) = top,
inference(resolve,[$cnf( $equal(top,join(top,zero)) )],[refute_0_360,refute_0_361]) ).
cnf(refute_0_363,plain,
( join(top,join(zero,X_46)) != join(join(top,zero),X_46)
| join(top,zero) != top
| join(top,join(zero,X_46)) = join(top,X_46) ),
introduced(tautology,[equality,[$cnf( $equal(join(top,join(zero,X_46)),join(join(top,zero),X_46)) ),[1,0],$fot(top)]]) ).
cnf(refute_0_364,plain,
( join(top,join(zero,X_46)) != join(join(top,zero),X_46)
| join(top,join(zero,X_46)) = join(top,X_46) ),
inference(resolve,[$cnf( $equal(join(top,zero),top) )],[refute_0_362,refute_0_363]) ).
cnf(refute_0_365,plain,
join(top,join(zero,X_46)) = join(top,X_46),
inference(resolve,[$cnf( $equal(join(top,join(zero,X_46)),join(join(top,zero),X_46)) )],[refute_0_356,refute_0_364]) ).
cnf(refute_0_366,plain,
join(top,join(zero,complement(join(zero,complement(X_64))))) = join(top,complement(join(zero,complement(X_64)))),
inference(subst,[],[refute_0_365:[bind(X_46,$fot(complement(join(zero,complement(X_64)))))]]) ).
cnf(refute_0_367,plain,
( join(top,complement(join(zero,complement(X_64)))) != top
| join(top,join(zero,complement(join(zero,complement(X_64))))) != join(top,complement(join(zero,complement(X_64))))
| join(top,join(zero,complement(join(zero,complement(X_64))))) = top ),
inference(subst,[],[refute_0_71:[bind(X,$fot(join(top,join(zero,complement(join(zero,complement(X_64))))))),bind(Y,$fot(join(top,complement(join(zero,complement(X_64)))))),bind(Z,$fot(top))]]) ).
cnf(refute_0_368,plain,
( join(top,complement(join(zero,complement(X_64)))) != top
| join(top,join(zero,complement(join(zero,complement(X_64))))) = top ),
inference(resolve,[$cnf( $equal(join(top,join(zero,complement(join(zero,complement(X_64))))),join(top,complement(join(zero,complement(X_64))))) )],[refute_0_366,refute_0_367]) ).
cnf(refute_0_369,plain,
join(top,join(zero,complement(join(zero,complement(X_64))))) = top,
inference(resolve,[$cnf( $equal(join(top,complement(join(zero,complement(X_64)))),top) )],[refute_0_355,refute_0_368]) ).
cnf(refute_0_370,plain,
( join(X_64,top) != join(top,join(zero,complement(join(zero,complement(X_64)))))
| join(top,join(zero,complement(join(zero,complement(X_64))))) != top
| join(X_64,top) = top ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_64,top),top) ),[0],$fot(join(top,join(zero,complement(join(zero,complement(X_64))))))]]) ).
cnf(refute_0_371,plain,
( join(X_64,top) != join(top,join(zero,complement(join(zero,complement(X_64)))))
| join(X_64,top) = top ),
inference(resolve,[$cnf( $equal(join(top,join(zero,complement(join(zero,complement(X_64))))),top) )],[refute_0_369,refute_0_370]) ).
cnf(refute_0_372,plain,
join(X_64,top) = top,
inference(resolve,[$cnf( $equal(join(X_64,top),join(top,join(zero,complement(join(zero,complement(X_64)))))) )],[refute_0_341,refute_0_371]) ).
cnf(refute_0_373,plain,
join(complement(X_73),top) = top,
inference(subst,[],[refute_0_372:[bind(X_64,$fot(complement(X_73)))]]) ).
cnf(refute_0_374,plain,
( X_73 != join(meet(X_73,top),complement(join(complement(X_73),top)))
| join(complement(X_73),top) != top
| X_73 = join(meet(X_73,top),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(X_73,join(meet(X_73,top),complement(join(complement(X_73),top)))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_0_375,plain,
( X_73 != join(meet(X_73,top),complement(join(complement(X_73),top)))
| X_73 = join(meet(X_73,top),complement(top)) ),
inference(resolve,[$cnf( $equal(join(complement(X_73),top),top) )],[refute_0_373,refute_0_374]) ).
cnf(refute_0_376,plain,
X_73 = join(meet(X_73,top),complement(top)),
inference(resolve,[$cnf( $equal(X_73,join(meet(X_73,top),complement(join(complement(X_73),top)))) )],[refute_0_213,refute_0_375]) ).
cnf(refute_0_377,plain,
join(complement(top),meet(X_73,top)) = join(complement(top),meet(X_73,top)),
introduced(tautology,[refl,[$fot(join(complement(top),meet(X_73,top)))]]) ).
cnf(refute_0_378,plain,
( complement(top) != zero
| join(complement(top),meet(X_73,top)) != join(complement(top),meet(X_73,top))
| join(complement(top),meet(X_73,top)) = join(zero,meet(X_73,top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(X_73,top)),join(complement(top),meet(X_73,top))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_379,plain,
( complement(top) != zero
| join(complement(top),meet(X_73,top)) = join(zero,meet(X_73,top)) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_73,top)),join(complement(top),meet(X_73,top))) )],[refute_0_377,refute_0_378]) ).
cnf(refute_0_380,plain,
join(complement(top),meet(X_73,top)) = join(zero,meet(X_73,top)),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_125,refute_0_379]) ).
cnf(refute_0_381,plain,
join(meet(X_73,top),complement(top)) = join(complement(top),meet(X_73,top)),
inference(subst,[],[refute_0_6:[bind(X0,$fot(complement(top))),bind(X1,$fot(meet(X_73,top)))]]) ).
cnf(refute_0_382,plain,
( join(complement(top),meet(X_73,top)) != join(zero,meet(X_73,top))
| join(meet(X_73,top),complement(top)) != join(complement(top),meet(X_73,top))
| join(meet(X_73,top),complement(top)) = join(zero,meet(X_73,top)) ),
inference(subst,[],[refute_0_71:[bind(X,$fot(join(meet(X_73,top),complement(top)))),bind(Y,$fot(join(complement(top),meet(X_73,top)))),bind(Z,$fot(join(zero,meet(X_73,top))))]]) ).
cnf(refute_0_383,plain,
( join(complement(top),meet(X_73,top)) != join(zero,meet(X_73,top))
| join(meet(X_73,top),complement(top)) = join(zero,meet(X_73,top)) ),
inference(resolve,[$cnf( $equal(join(meet(X_73,top),complement(top)),join(complement(top),meet(X_73,top))) )],[refute_0_381,refute_0_382]) ).
cnf(refute_0_384,plain,
join(meet(X_73,top),complement(top)) = join(zero,meet(X_73,top)),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_73,top)),join(zero,meet(X_73,top))) )],[refute_0_380,refute_0_383]) ).
cnf(refute_0_385,plain,
( X_73 != join(meet(X_73,top),complement(top))
| join(meet(X_73,top),complement(top)) != join(zero,meet(X_73,top))
| X_73 = join(zero,meet(X_73,top)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_73,join(zero,meet(X_73,top))) ),[0],$fot(join(meet(X_73,top),complement(top)))]]) ).
cnf(refute_0_386,plain,
( X_73 != join(meet(X_73,top),complement(top))
| X_73 = join(zero,meet(X_73,top)) ),
inference(resolve,[$cnf( $equal(join(meet(X_73,top),complement(top)),join(zero,meet(X_73,top))) )],[refute_0_384,refute_0_385]) ).
cnf(refute_0_387,plain,
X_73 = join(zero,meet(X_73,top)),
inference(resolve,[$cnf( $equal(X_73,join(meet(X_73,top),complement(top))) )],[refute_0_376,refute_0_386]) ).
cnf(refute_0_388,plain,
X_75 = join(zero,meet(X_75,top)),
inference(subst,[],[refute_0_387:[bind(X_73,$fot(X_75))]]) ).
cnf(refute_0_389,plain,
( X_75 != join(zero,meet(X_75,top))
| join(zero,meet(X_75,top)) = X_75 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(X_75)),bind(Y,$fot(join(zero,meet(X_75,top))))]]) ).
cnf(refute_0_390,plain,
join(zero,meet(X_75,top)) = X_75,
inference(resolve,[$cnf( $equal(X_75,join(zero,meet(X_75,top))) )],[refute_0_388,refute_0_389]) ).
cnf(refute_0_391,plain,
( join(zero,join(zero,meet(X_75,top))) != join(zero,meet(X_75,top))
| join(zero,meet(X_75,top)) != X_75
| join(zero,X_75) = join(zero,meet(X_75,top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,join(zero,meet(X_75,top))),join(zero,meet(X_75,top))) ),[0,1],$fot(X_75)]]) ).
cnf(refute_0_392,plain,
( join(zero,join(zero,meet(X_75,top))) != join(zero,meet(X_75,top))
| join(zero,X_75) = join(zero,meet(X_75,top)) ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_75,top)),X_75) )],[refute_0_390,refute_0_391]) ).
cnf(refute_0_393,plain,
join(zero,X_75) = join(zero,meet(X_75,top)),
inference(resolve,[$cnf( $equal(join(zero,join(zero,meet(X_75,top))),join(zero,meet(X_75,top))) )],[refute_0_212,refute_0_392]) ).
cnf(refute_0_394,plain,
( join(zero,X_75) != join(zero,meet(X_75,top))
| join(zero,meet(X_75,top)) != X_75
| join(zero,X_75) = X_75 ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(zero,X_75),X_75) ),[0],$fot(join(zero,meet(X_75,top)))]]) ).
cnf(refute_0_395,plain,
( join(zero,X_75) != join(zero,meet(X_75,top))
| join(zero,X_75) = X_75 ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_75,top)),X_75) )],[refute_0_390,refute_0_394]) ).
cnf(refute_0_396,plain,
join(zero,X_75) = X_75,
inference(resolve,[$cnf( $equal(join(zero,X_75),join(zero,meet(X_75,top))) )],[refute_0_393,refute_0_395]) ).
cnf(refute_0_397,plain,
join(zero,complement(X_16)) = complement(X_16),
inference(subst,[],[refute_0_396:[bind(X_75,$fot(complement(X_16)))]]) ).
cnf(refute_0_398,plain,
meet(X0,join(zero,complement(X_16))) = meet(X0,join(zero,complement(X_16))),
introduced(tautology,[refl,[$fot(meet(X0,join(zero,complement(X_16))))]]) ).
cnf(refute_0_399,plain,
( join(zero,complement(X_16)) != complement(X_16)
| meet(X0,join(zero,complement(X_16))) != meet(X0,join(zero,complement(X_16)))
| meet(X0,join(zero,complement(X_16))) = meet(X0,complement(X_16)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X0,join(zero,complement(X_16))),meet(X0,join(zero,complement(X_16)))) ),[1,1],$fot(complement(X_16))]]) ).
cnf(refute_0_400,plain,
( join(zero,complement(X_16)) != complement(X_16)
| meet(X0,join(zero,complement(X_16))) = meet(X0,complement(X_16)) ),
inference(resolve,[$cnf( $equal(meet(X0,join(zero,complement(X_16))),meet(X0,join(zero,complement(X_16)))) )],[refute_0_398,refute_0_399]) ).
cnf(refute_0_401,plain,
meet(X0,join(zero,complement(X_16))) = meet(X0,complement(X_16)),
inference(resolve,[$cnf( $equal(join(zero,complement(X_16)),complement(X_16)) )],[refute_0_397,refute_0_400]) ).
cnf(refute_0_402,plain,
( meet(X0,join(zero,complement(X_16))) != complement(join(complement(X0),meet(top,X_16)))
| meet(X0,join(zero,complement(X_16))) != meet(X0,complement(X_16))
| meet(X0,complement(X_16)) = complement(join(complement(X0),meet(top,X_16))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X0,join(zero,complement(X_16))),complement(join(complement(X0),meet(top,X_16)))) ),[0],$fot(meet(X0,complement(X_16)))]]) ).
cnf(refute_0_403,plain,
( meet(X0,join(zero,complement(X_16))) != complement(join(complement(X0),meet(top,X_16)))
| meet(X0,complement(X_16)) = complement(join(complement(X0),meet(top,X_16))) ),
inference(resolve,[$cnf( $equal(meet(X0,join(zero,complement(X_16))),meet(X0,complement(X_16))) )],[refute_0_401,refute_0_402]) ).
cnf(refute_0_404,plain,
meet(top,X_75) = meet(X_75,top),
inference(subst,[],[refute_0_89:[bind(X_13,$fot(top)),bind(X_14,$fot(X_75))]]) ).
cnf(refute_0_405,plain,
( meet(top,X_75) != meet(X_75,top)
| meet(X_75,top) = meet(top,X_75) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(meet(top,X_75))),bind(Y,$fot(meet(X_75,top)))]]) ).
cnf(refute_0_406,plain,
meet(X_75,top) = meet(top,X_75),
inference(resolve,[$cnf( $equal(meet(top,X_75),meet(X_75,top)) )],[refute_0_404,refute_0_405]) ).
cnf(refute_0_407,plain,
( X_75 != join(zero,meet(X_75,top))
| meet(X_75,top) != meet(top,X_75)
| X_75 = join(zero,meet(top,X_75)) ),
introduced(tautology,[equality,[$cnf( $equal(X_75,join(zero,meet(X_75,top))) ),[1,1],$fot(meet(top,X_75))]]) ).
cnf(refute_0_408,plain,
( X_75 != join(zero,meet(X_75,top))
| X_75 = join(zero,meet(top,X_75)) ),
inference(resolve,[$cnf( $equal(meet(X_75,top),meet(top,X_75)) )],[refute_0_406,refute_0_407]) ).
cnf(refute_0_409,plain,
X_75 = join(zero,meet(top,X_75)),
inference(resolve,[$cnf( $equal(X_75,join(zero,meet(X_75,top))) )],[refute_0_388,refute_0_408]) ).
cnf(refute_0_410,plain,
join(zero,meet(top,X_75)) = meet(top,X_75),
inference(subst,[],[refute_0_396:[bind(X_75,$fot(meet(top,X_75)))]]) ).
cnf(refute_0_411,plain,
( X_75 != join(zero,meet(top,X_75))
| join(zero,meet(top,X_75)) != meet(top,X_75)
| X_75 = meet(top,X_75) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_75,meet(top,X_75)) ),[0],$fot(join(zero,meet(top,X_75)))]]) ).
cnf(refute_0_412,plain,
( X_75 != join(zero,meet(top,X_75))
| X_75 = meet(top,X_75) ),
inference(resolve,[$cnf( $equal(join(zero,meet(top,X_75)),meet(top,X_75)) )],[refute_0_410,refute_0_411]) ).
cnf(refute_0_413,plain,
X_75 = meet(top,X_75),
inference(resolve,[$cnf( $equal(X_75,join(zero,meet(top,X_75))) )],[refute_0_409,refute_0_412]) ).
cnf(refute_0_414,plain,
( X_75 != meet(top,X_75)
| meet(top,X_75) = X_75 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(X_75)),bind(Y,$fot(meet(top,X_75)))]]) ).
cnf(refute_0_415,plain,
meet(top,X_75) = X_75,
inference(resolve,[$cnf( $equal(X_75,meet(top,X_75)) )],[refute_0_413,refute_0_414]) ).
cnf(refute_0_416,plain,
meet(top,X_16) = X_16,
inference(subst,[],[refute_0_415:[bind(X_75,$fot(X_16))]]) ).
cnf(refute_0_417,plain,
join(complement(X0),meet(top,X_16)) = join(complement(X0),meet(top,X_16)),
introduced(tautology,[refl,[$fot(join(complement(X0),meet(top,X_16)))]]) ).
cnf(refute_0_418,plain,
( join(complement(X0),meet(top,X_16)) != join(complement(X0),meet(top,X_16))
| meet(top,X_16) != X_16
| join(complement(X0),meet(top,X_16)) = join(complement(X0),X_16) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X0),meet(top,X_16)),join(complement(X0),meet(top,X_16))) ),[1,1],$fot(X_16)]]) ).
cnf(refute_0_419,plain,
( meet(top,X_16) != X_16
| join(complement(X0),meet(top,X_16)) = join(complement(X0),X_16) ),
inference(resolve,[$cnf( $equal(join(complement(X0),meet(top,X_16)),join(complement(X0),meet(top,X_16))) )],[refute_0_417,refute_0_418]) ).
cnf(refute_0_420,plain,
join(complement(X0),meet(top,X_16)) = join(complement(X0),X_16),
inference(resolve,[$cnf( $equal(meet(top,X_16),X_16) )],[refute_0_416,refute_0_419]) ).
cnf(refute_0_421,plain,
complement(join(complement(X0),meet(top,X_16))) = complement(join(complement(X0),meet(top,X_16))),
introduced(tautology,[refl,[$fot(complement(join(complement(X0),meet(top,X_16))))]]) ).
cnf(refute_0_422,plain,
( complement(join(complement(X0),meet(top,X_16))) != complement(join(complement(X0),meet(top,X_16)))
| join(complement(X0),meet(top,X_16)) != join(complement(X0),X_16)
| complement(join(complement(X0),meet(top,X_16))) = complement(join(complement(X0),X_16)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(X0),meet(top,X_16))),complement(join(complement(X0),meet(top,X_16)))) ),[1,0],$fot(join(complement(X0),X_16))]]) ).
cnf(refute_0_423,plain,
( join(complement(X0),meet(top,X_16)) != join(complement(X0),X_16)
| complement(join(complement(X0),meet(top,X_16))) = complement(join(complement(X0),X_16)) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X0),meet(top,X_16))),complement(join(complement(X0),meet(top,X_16)))) )],[refute_0_421,refute_0_422]) ).
cnf(refute_0_424,plain,
complement(join(complement(X0),meet(top,X_16))) = complement(join(complement(X0),X_16)),
inference(resolve,[$cnf( $equal(join(complement(X0),meet(top,X_16)),join(complement(X0),X_16)) )],[refute_0_420,refute_0_423]) ).
cnf(refute_0_425,plain,
( complement(join(complement(X0),meet(top,X_16))) != complement(join(complement(X0),X_16))
| meet(X0,complement(X_16)) != complement(join(complement(X0),meet(top,X_16)))
| meet(X0,complement(X_16)) = complement(join(complement(X0),X_16)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X0,complement(X_16)),complement(join(complement(X0),meet(top,X_16)))) ),[1],$fot(complement(join(complement(X0),X_16)))]]) ).
cnf(refute_0_426,plain,
( meet(X0,complement(X_16)) != complement(join(complement(X0),meet(top,X_16)))
| meet(X0,complement(X_16)) = complement(join(complement(X0),X_16)) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X0),meet(top,X_16))),complement(join(complement(X0),X_16))) )],[refute_0_424,refute_0_425]) ).
cnf(refute_0_427,plain,
( meet(X0,join(zero,complement(X_16))) != complement(join(complement(X0),meet(top,X_16)))
| meet(X0,complement(X_16)) = complement(join(complement(X0),X_16)) ),
inference(resolve,[$cnf( $equal(meet(X0,complement(X_16)),complement(join(complement(X0),meet(top,X_16)))) )],[refute_0_403,refute_0_426]) ).
cnf(refute_0_428,plain,
meet(X0,complement(X_16)) = complement(join(complement(X0),X_16)),
inference(resolve,[$cnf( $equal(meet(X0,join(zero,complement(X_16))),complement(join(complement(X0),meet(top,X_16)))) )],[refute_0_134,refute_0_427]) ).
cnf(refute_0_429,plain,
( meet(X0,complement(X_16)) != complement(join(complement(X0),X_16))
| complement(join(complement(X0),X_16)) = meet(X0,complement(X_16)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(meet(X0,complement(X_16)))),bind(Y,$fot(complement(join(complement(X0),X_16))))]]) ).
cnf(refute_0_430,plain,
complement(join(complement(X0),X_16)) = meet(X0,complement(X_16)),
inference(resolve,[$cnf( $equal(meet(X0,complement(X_16)),complement(join(complement(X0),X_16))) )],[refute_0_428,refute_0_429]) ).
cnf(refute_0_431,plain,
complement(join(complement(X_73),X_74)) = meet(X_73,complement(X_74)),
inference(subst,[],[refute_0_430:[bind(X0,$fot(X_73)),bind(X_16,$fot(X_74))]]) ).
cnf(refute_0_432,plain,
join(meet(X_74,X_73),complement(join(complement(X_73),X_74))) = join(meet(X_74,X_73),complement(join(complement(X_73),X_74))),
introduced(tautology,[refl,[$fot(join(meet(X_74,X_73),complement(join(complement(X_73),X_74))))]]) ).
cnf(refute_0_433,plain,
( complement(join(complement(X_73),X_74)) != meet(X_73,complement(X_74))
| join(meet(X_74,X_73),complement(join(complement(X_73),X_74))) != join(meet(X_74,X_73),complement(join(complement(X_73),X_74)))
| join(meet(X_74,X_73),complement(join(complement(X_73),X_74))) = join(meet(X_74,X_73),meet(X_73,complement(X_74))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_74,X_73),complement(join(complement(X_73),X_74))),join(meet(X_74,X_73),complement(join(complement(X_73),X_74)))) ),[1,1],$fot(meet(X_73,complement(X_74)))]]) ).
cnf(refute_0_434,plain,
( complement(join(complement(X_73),X_74)) != meet(X_73,complement(X_74))
| join(meet(X_74,X_73),complement(join(complement(X_73),X_74))) = join(meet(X_74,X_73),meet(X_73,complement(X_74))) ),
inference(resolve,[$cnf( $equal(join(meet(X_74,X_73),complement(join(complement(X_73),X_74))),join(meet(X_74,X_73),complement(join(complement(X_73),X_74)))) )],[refute_0_432,refute_0_433]) ).
cnf(refute_0_435,plain,
join(meet(X_74,X_73),complement(join(complement(X_73),X_74))) = join(meet(X_74,X_73),meet(X_73,complement(X_74))),
inference(resolve,[$cnf( $equal(complement(join(complement(X_73),X_74)),meet(X_73,complement(X_74))) )],[refute_0_431,refute_0_434]) ).
cnf(refute_0_436,plain,
( X_73 != join(meet(X_74,X_73),complement(join(complement(X_73),X_74)))
| join(meet(X_74,X_73),complement(join(complement(X_73),X_74))) != join(meet(X_74,X_73),meet(X_73,complement(X_74)))
| X_73 = join(meet(X_74,X_73),meet(X_73,complement(X_74))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_73,join(meet(X_74,X_73),meet(X_73,complement(X_74)))) ),[0],$fot(join(meet(X_74,X_73),complement(join(complement(X_73),X_74))))]]) ).
cnf(refute_0_437,plain,
( X_73 != join(meet(X_74,X_73),complement(join(complement(X_73),X_74)))
| X_73 = join(meet(X_74,X_73),meet(X_73,complement(X_74))) ),
inference(resolve,[$cnf( $equal(join(meet(X_74,X_73),complement(join(complement(X_73),X_74))),join(meet(X_74,X_73),meet(X_73,complement(X_74)))) )],[refute_0_435,refute_0_436]) ).
cnf(refute_0_438,plain,
X_73 = join(meet(X_74,X_73),meet(X_73,complement(X_74))),
inference(resolve,[$cnf( $equal(X_73,join(meet(X_74,X_73),complement(join(complement(X_73),X_74)))) )],[refute_0_95,refute_0_437]) ).
cnf(refute_0_439,plain,
X_160 = join(meet(X_161,X_160),meet(X_160,complement(X_161))),
inference(subst,[],[refute_0_438:[bind(X_73,$fot(X_160)),bind(X_74,$fot(X_161))]]) ).
cnf(refute_0_440,plain,
meet(complement(X_161),X_160) = meet(X_160,complement(X_161)),
inference(subst,[],[refute_0_89:[bind(X_13,$fot(complement(X_161))),bind(X_14,$fot(X_160))]]) ).
cnf(refute_0_441,plain,
( meet(complement(X_161),X_160) != meet(X_160,complement(X_161))
| meet(X_160,complement(X_161)) = meet(complement(X_161),X_160) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(meet(complement(X_161),X_160))),bind(Y,$fot(meet(X_160,complement(X_161))))]]) ).
cnf(refute_0_442,plain,
meet(X_160,complement(X_161)) = meet(complement(X_161),X_160),
inference(resolve,[$cnf( $equal(meet(complement(X_161),X_160),meet(X_160,complement(X_161))) )],[refute_0_440,refute_0_441]) ).
cnf(refute_0_443,plain,
( X_160 != join(meet(X_161,X_160),meet(X_160,complement(X_161)))
| meet(X_160,complement(X_161)) != meet(complement(X_161),X_160)
| X_160 = join(meet(X_161,X_160),meet(complement(X_161),X_160)) ),
introduced(tautology,[equality,[$cnf( $equal(X_160,join(meet(X_161,X_160),meet(X_160,complement(X_161)))) ),[1,1],$fot(meet(complement(X_161),X_160))]]) ).
cnf(refute_0_444,plain,
( X_160 != join(meet(X_161,X_160),meet(X_160,complement(X_161)))
| X_160 = join(meet(X_161,X_160),meet(complement(X_161),X_160)) ),
inference(resolve,[$cnf( $equal(meet(X_160,complement(X_161)),meet(complement(X_161),X_160)) )],[refute_0_442,refute_0_443]) ).
cnf(refute_0_445,plain,
X_160 = join(meet(X_161,X_160),meet(complement(X_161),X_160)),
inference(resolve,[$cnf( $equal(X_160,join(meet(X_161,X_160),meet(X_160,complement(X_161)))) )],[refute_0_439,refute_0_444]) ).
cnf(refute_0_446,plain,
converse(complement(X_275)) = join(meet(converse(X_275),converse(complement(X_275))),meet(complement(converse(X_275)),converse(complement(X_275)))),
inference(subst,[],[refute_0_445:[bind(X_160,$fot(converse(complement(X_275)))),bind(X_161,$fot(converse(X_275)))]]) ).
cnf(refute_0_447,plain,
meet(top,X1) = X1,
inference(subst,[],[refute_0_415:[bind(X_75,$fot(X1))]]) ).
cnf(refute_0_448,plain,
( meet(top,X1) != X1
| meet(top,X1) != complement(join(zero,complement(X1)))
| X1 = complement(join(zero,complement(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,X1),complement(join(zero,complement(X1)))) ),[0],$fot(X1)]]) ).
cnf(refute_0_449,plain,
( meet(top,X1) != complement(join(zero,complement(X1)))
| X1 = complement(join(zero,complement(X1))) ),
inference(resolve,[$cnf( $equal(meet(top,X1),X1) )],[refute_0_447,refute_0_448]) ).
cnf(refute_0_450,plain,
join(zero,complement(X1)) = complement(X1),
inference(subst,[],[refute_0_396:[bind(X_75,$fot(complement(X1)))]]) ).
cnf(refute_0_451,plain,
complement(join(zero,complement(X1))) = complement(join(zero,complement(X1))),
introduced(tautology,[refl,[$fot(complement(join(zero,complement(X1))))]]) ).
cnf(refute_0_452,plain,
( complement(join(zero,complement(X1))) != complement(join(zero,complement(X1)))
| join(zero,complement(X1)) != complement(X1)
| complement(join(zero,complement(X1))) = complement(complement(X1)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(zero,complement(X1))),complement(join(zero,complement(X1)))) ),[1,0],$fot(complement(X1))]]) ).
cnf(refute_0_453,plain,
( join(zero,complement(X1)) != complement(X1)
| complement(join(zero,complement(X1))) = complement(complement(X1)) ),
inference(resolve,[$cnf( $equal(complement(join(zero,complement(X1))),complement(join(zero,complement(X1)))) )],[refute_0_451,refute_0_452]) ).
cnf(refute_0_454,plain,
complement(join(zero,complement(X1))) = complement(complement(X1)),
inference(resolve,[$cnf( $equal(join(zero,complement(X1)),complement(X1)) )],[refute_0_450,refute_0_453]) ).
cnf(refute_0_455,plain,
( X1 != complement(join(zero,complement(X1)))
| complement(join(zero,complement(X1))) != complement(complement(X1))
| X1 = complement(complement(X1)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X1,complement(complement(X1))) ),[0],$fot(complement(join(zero,complement(X1))))]]) ).
cnf(refute_0_456,plain,
( X1 != complement(join(zero,complement(X1)))
| X1 = complement(complement(X1)) ),
inference(resolve,[$cnf( $equal(complement(join(zero,complement(X1))),complement(complement(X1))) )],[refute_0_454,refute_0_455]) ).
cnf(refute_0_457,plain,
( meet(top,X1) != complement(join(zero,complement(X1)))
| X1 = complement(complement(X1)) ),
inference(resolve,[$cnf( $equal(X1,complement(join(zero,complement(X1)))) )],[refute_0_449,refute_0_456]) ).
cnf(refute_0_458,plain,
X1 = complement(complement(X1)),
inference(resolve,[$cnf( $equal(meet(top,X1),complement(join(zero,complement(X1)))) )],[refute_0_128,refute_0_457]) ).
cnf(refute_0_459,plain,
meet(converse(X_170),converse(complement(X_170))) = complement(complement(meet(converse(X_170),converse(complement(X_170))))),
inference(subst,[],[refute_0_458:[bind(X1,$fot(meet(converse(X_170),converse(complement(X_170)))))]]) ).
cnf(refute_0_460,plain,
converse(join(join(converse(complement(converse(X1))),X_139),X1)) = converse(join(X1,join(converse(complement(converse(X1))),X_139))),
inference(subst,[],[refute_0_21:[bind(X0,$fot(join(converse(complement(converse(X1))),X_139)))]]) ).
cnf(refute_0_461,plain,
join(X_44,join(converse(complement(converse(X_44))),X_46)) = join(join(X_44,converse(complement(converse(X_44)))),X_46),
inference(subst,[],[refute_0_135:[bind(X0,$fot(X_44)),bind(X1,$fot(converse(complement(converse(X_44))))),bind(X2,$fot(X_46))]]) ).
cnf(refute_0_462,plain,
converse(top) = join(X_44,converse(complement(converse(X_44)))),
inference(subst,[],[refute_0_226:[bind(X_8,$fot(X_44))]]) ).
cnf(refute_0_463,plain,
( converse(top) != join(X_44,converse(complement(converse(X_44))))
| join(X_44,converse(complement(converse(X_44)))) = converse(top) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(converse(top))),bind(Y,$fot(join(X_44,converse(complement(converse(X_44))))))]]) ).
cnf(refute_0_464,plain,
join(X_44,converse(complement(converse(X_44)))) = converse(top),
inference(resolve,[$cnf( $equal(converse(top),join(X_44,converse(complement(converse(X_44))))) )],[refute_0_462,refute_0_463]) ).
cnf(refute_0_465,plain,
( join(X_44,converse(complement(converse(X_44)))) != converse(top)
| join(X_44,join(converse(complement(converse(X_44))),X_46)) != join(join(X_44,converse(complement(converse(X_44)))),X_46)
| join(X_44,join(converse(complement(converse(X_44))),X_46)) = join(converse(top),X_46) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_44,join(converse(complement(converse(X_44))),X_46)),join(join(X_44,converse(complement(converse(X_44)))),X_46)) ),[1,0],$fot(converse(top))]]) ).
cnf(refute_0_466,plain,
( join(X_44,join(converse(complement(converse(X_44))),X_46)) != join(join(X_44,converse(complement(converse(X_44)))),X_46)
| join(X_44,join(converse(complement(converse(X_44))),X_46)) = join(converse(top),X_46) ),
inference(resolve,[$cnf( $equal(join(X_44,converse(complement(converse(X_44)))),converse(top)) )],[refute_0_464,refute_0_465]) ).
cnf(refute_0_467,plain,
join(X_44,join(converse(complement(converse(X_44))),X_46)) = join(converse(top),X_46),
inference(resolve,[$cnf( $equal(join(X_44,join(converse(complement(converse(X_44))),X_46)),join(join(X_44,converse(complement(converse(X_44)))),X_46)) )],[refute_0_461,refute_0_466]) ).
cnf(refute_0_468,plain,
join(X_64,join(zero,join(complement(X_64),X_65))) = join(top,X_65),
inference(subst,[],[refute_0_327:[bind(X_44,$fot(X_64)),bind(X_46,$fot(X_65))]]) ).
cnf(refute_0_469,plain,
join(X_65,top) = join(top,X_65),
inference(subst,[],[refute_0_1:[bind(X0,$fot(X_65)),bind(X1,$fot(top))]]) ).
cnf(refute_0_470,plain,
( join(X_65,top) != join(top,X_65)
| join(top,X_65) = join(X_65,top) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(X_65,top))),bind(Y,$fot(join(top,X_65)))]]) ).
cnf(refute_0_471,plain,
join(top,X_65) = join(X_65,top),
inference(resolve,[$cnf( $equal(join(X_65,top),join(top,X_65)) )],[refute_0_469,refute_0_470]) ).
cnf(refute_0_472,plain,
( join(X_64,join(zero,join(complement(X_64),X_65))) != join(top,X_65)
| join(top,X_65) != join(X_65,top)
| join(X_64,join(zero,join(complement(X_64),X_65))) = join(X_65,top) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_64,join(zero,join(complement(X_64),X_65))),join(X_65,top)) ),[0],$fot(join(top,X_65))]]) ).
cnf(refute_0_473,plain,
( join(X_64,join(zero,join(complement(X_64),X_65))) != join(top,X_65)
| join(X_64,join(zero,join(complement(X_64),X_65))) = join(X_65,top) ),
inference(resolve,[$cnf( $equal(join(top,X_65),join(X_65,top)) )],[refute_0_471,refute_0_472]) ).
cnf(refute_0_474,plain,
join(X_64,join(zero,join(complement(X_64),X_65))) = join(X_65,top),
inference(resolve,[$cnf( $equal(join(X_64,join(zero,join(complement(X_64),X_65))),join(top,X_65)) )],[refute_0_468,refute_0_473]) ).
cnf(refute_0_475,plain,
( join(X_64,join(zero,join(complement(X_64),X_65))) != join(X_65,top)
| join(X_64,join(zero,join(complement(X_64),X_65))) != join(top,X_65)
| join(top,X_65) = join(X_65,top) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_64,join(zero,join(complement(X_64),X_65))),join(X_65,top)) ),[0],$fot(join(top,X_65))]]) ).
cnf(refute_0_476,plain,
( join(X_64,join(zero,join(complement(X_64),X_65))) != join(X_65,top)
| join(top,X_65) = join(X_65,top) ),
inference(resolve,[$cnf( $equal(join(X_64,join(zero,join(complement(X_64),X_65))),join(top,X_65)) )],[refute_0_468,refute_0_475]) ).
cnf(refute_0_477,plain,
join(X_65,top) = top,
inference(subst,[],[refute_0_372:[bind(X_64,$fot(X_65))]]) ).
cnf(refute_0_478,plain,
( join(X_65,top) != top
| join(top,X_65) != join(X_65,top)
| join(top,X_65) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(top,X_65),join(X_65,top)) ),[1],$fot(top)]]) ).
cnf(refute_0_479,plain,
( join(top,X_65) != join(X_65,top)
| join(top,X_65) = top ),
inference(resolve,[$cnf( $equal(join(X_65,top),top) )],[refute_0_477,refute_0_478]) ).
cnf(refute_0_480,plain,
( join(X_64,join(zero,join(complement(X_64),X_65))) != join(X_65,top)
| join(top,X_65) = top ),
inference(resolve,[$cnf( $equal(join(top,X_65),join(X_65,top)) )],[refute_0_476,refute_0_479]) ).
cnf(refute_0_481,plain,
join(top,X_65) = top,
inference(resolve,[$cnf( $equal(join(X_64,join(zero,join(complement(X_64),X_65))),join(X_65,top)) )],[refute_0_474,refute_0_480]) ).
cnf(refute_0_482,plain,
join(top,X_46) = top,
inference(subst,[],[refute_0_481:[bind(X_65,$fot(X_46))]]) ).
cnf(refute_0_483,plain,
converse(top) = join(top,converse(join(complement(converse(zero)),complement(join(converse(top),complement(converse(zero))))))),
inference(subst,[],[refute_0_248:[bind(X0,$fot(complement(converse(zero)))),bind(X_4,$fot(top))]]) ).
cnf(refute_0_484,plain,
converse(join(converse(complement(converse(zero))),top)) = converse(join(top,converse(complement(converse(zero))))),
inference(subst,[],[refute_0_21:[bind(X0,$fot(converse(complement(converse(zero))))),bind(X1,$fot(top))]]) ).
cnf(refute_0_485,plain,
join(top,join(zero,converse(complement(converse(zero))))) = join(top,converse(complement(converse(zero)))),
inference(subst,[],[refute_0_365:[bind(X_46,$fot(converse(complement(converse(zero)))))]]) ).
cnf(refute_0_486,plain,
converse(top) = join(zero,converse(complement(converse(zero)))),
inference(subst,[],[refute_0_226:[bind(X_8,$fot(zero))]]) ).
cnf(refute_0_487,plain,
( converse(top) != join(zero,converse(complement(converse(zero))))
| join(zero,converse(complement(converse(zero)))) = converse(top) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(converse(top))),bind(Y,$fot(join(zero,converse(complement(converse(zero))))))]]) ).
cnf(refute_0_488,plain,
join(zero,converse(complement(converse(zero)))) = converse(top),
inference(resolve,[$cnf( $equal(converse(top),join(zero,converse(complement(converse(zero))))) )],[refute_0_486,refute_0_487]) ).
cnf(refute_0_489,plain,
( join(top,join(zero,converse(complement(converse(zero))))) != join(top,converse(complement(converse(zero))))
| join(zero,converse(complement(converse(zero)))) != converse(top)
| join(top,converse(top)) = join(top,converse(complement(converse(zero)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(top,join(zero,converse(complement(converse(zero))))),join(top,converse(complement(converse(zero))))) ),[0,1],$fot(converse(top))]]) ).
cnf(refute_0_490,plain,
( join(top,join(zero,converse(complement(converse(zero))))) != join(top,converse(complement(converse(zero))))
| join(top,converse(top)) = join(top,converse(complement(converse(zero)))) ),
inference(resolve,[$cnf( $equal(join(zero,converse(complement(converse(zero)))),converse(top)) )],[refute_0_488,refute_0_489]) ).
cnf(refute_0_491,plain,
join(top,converse(top)) = join(top,converse(complement(converse(zero)))),
inference(resolve,[$cnf( $equal(join(top,join(zero,converse(complement(converse(zero))))),join(top,converse(complement(converse(zero))))) )],[refute_0_485,refute_0_490]) ).
cnf(refute_0_492,plain,
( join(top,converse(top)) != join(top,converse(complement(converse(zero))))
| join(top,converse(complement(converse(zero)))) = join(top,converse(top)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(top,converse(top)))),bind(Y,$fot(join(top,converse(complement(converse(zero))))))]]) ).
cnf(refute_0_493,plain,
join(top,converse(complement(converse(zero)))) = join(top,converse(top)),
inference(resolve,[$cnf( $equal(join(top,converse(top)),join(top,converse(complement(converse(zero))))) )],[refute_0_491,refute_0_492]) ).
cnf(refute_0_494,plain,
( converse(join(converse(complement(converse(zero))),top)) != converse(join(top,converse(complement(converse(zero)))))
| join(top,converse(complement(converse(zero)))) != join(top,converse(top))
| converse(join(converse(complement(converse(zero))),top)) = converse(join(top,converse(top))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(complement(converse(zero))),top)),converse(join(top,converse(complement(converse(zero)))))) ),[1,0],$fot(join(top,converse(top)))]]) ).
cnf(refute_0_495,plain,
( converse(join(converse(complement(converse(zero))),top)) != converse(join(top,converse(complement(converse(zero)))))
| converse(join(converse(complement(converse(zero))),top)) = converse(join(top,converse(top))) ),
inference(resolve,[$cnf( $equal(join(top,converse(complement(converse(zero)))),join(top,converse(top))) )],[refute_0_493,refute_0_494]) ).
cnf(refute_0_496,plain,
converse(join(converse(complement(converse(zero))),top)) = converse(join(top,converse(top))),
inference(resolve,[$cnf( $equal(converse(join(converse(complement(converse(zero))),top)),converse(join(top,converse(complement(converse(zero)))))) )],[refute_0_484,refute_0_495]) ).
cnf(refute_0_497,plain,
converse(join(top,converse(complement(converse(zero))))) = join(converse(top),complement(converse(zero))),
inference(subst,[],[refute_0_231:[bind(X0,$fot(complement(converse(zero)))),bind(X_4,$fot(top))]]) ).
cnf(refute_0_498,plain,
( converse(join(converse(complement(converse(zero))),top)) != converse(join(top,converse(complement(converse(zero)))))
| converse(join(top,converse(complement(converse(zero))))) != join(converse(top),complement(converse(zero)))
| converse(join(converse(complement(converse(zero))),top)) = join(converse(top),complement(converse(zero))) ),
inference(subst,[],[refute_0_71:[bind(X,$fot(converse(join(converse(complement(converse(zero))),top)))),bind(Y,$fot(converse(join(top,converse(complement(converse(zero))))))),bind(Z,$fot(join(converse(top),complement(converse(zero)))))]]) ).
cnf(refute_0_499,plain,
( converse(join(top,converse(complement(converse(zero))))) != join(converse(top),complement(converse(zero)))
| converse(join(converse(complement(converse(zero))),top)) = join(converse(top),complement(converse(zero))) ),
inference(resolve,[$cnf( $equal(converse(join(converse(complement(converse(zero))),top)),converse(join(top,converse(complement(converse(zero)))))) )],[refute_0_484,refute_0_498]) ).
cnf(refute_0_500,plain,
converse(join(converse(complement(converse(zero))),top)) = join(converse(top),complement(converse(zero))),
inference(resolve,[$cnf( $equal(converse(join(top,converse(complement(converse(zero))))),join(converse(top),complement(converse(zero)))) )],[refute_0_497,refute_0_499]) ).
cnf(refute_0_501,plain,
( converse(join(converse(complement(converse(zero))),top)) != converse(join(top,converse(top)))
| converse(join(converse(complement(converse(zero))),top)) != join(converse(top),complement(converse(zero)))
| join(converse(top),complement(converse(zero))) = converse(join(top,converse(top))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(complement(converse(zero))),top)),converse(join(top,converse(top)))) ),[0],$fot(join(converse(top),complement(converse(zero))))]]) ).
cnf(refute_0_502,plain,
( converse(join(converse(complement(converse(zero))),top)) != converse(join(top,converse(top)))
| join(converse(top),complement(converse(zero))) = converse(join(top,converse(top))) ),
inference(resolve,[$cnf( $equal(converse(join(converse(complement(converse(zero))),top)),join(converse(top),complement(converse(zero)))) )],[refute_0_500,refute_0_501]) ).
cnf(refute_0_503,plain,
join(X_44,join(X_45,join(zero,complement(X_45)))) = join(join(X_44,X_45),join(zero,complement(X_45))),
inference(subst,[],[refute_0_135:[bind(X0,$fot(X_44)),bind(X1,$fot(X_45)),bind(X2,$fot(join(zero,complement(X_45))))]]) ).
cnf(refute_0_504,plain,
top = join(X_45,join(zero,complement(X_45))),
inference(subst,[],[refute_0_313:[bind(X0,$fot(X_45))]]) ).
cnf(refute_0_505,plain,
( top != join(X_45,join(zero,complement(X_45)))
| join(X_45,join(zero,complement(X_45))) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(X_45,join(zero,complement(X_45)))))]]) ).
cnf(refute_0_506,plain,
join(X_45,join(zero,complement(X_45))) = top,
inference(resolve,[$cnf( $equal(top,join(X_45,join(zero,complement(X_45)))) )],[refute_0_504,refute_0_505]) ).
cnf(refute_0_507,plain,
( join(X_44,join(X_45,join(zero,complement(X_45)))) != join(join(X_44,X_45),join(zero,complement(X_45)))
| join(X_45,join(zero,complement(X_45))) != top
| join(X_44,top) = join(join(X_44,X_45),join(zero,complement(X_45))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_44,join(X_45,join(zero,complement(X_45)))),join(join(X_44,X_45),join(zero,complement(X_45)))) ),[0,1],$fot(top)]]) ).
cnf(refute_0_508,plain,
( join(X_44,join(X_45,join(zero,complement(X_45)))) != join(join(X_44,X_45),join(zero,complement(X_45)))
| join(X_44,top) = join(join(X_44,X_45),join(zero,complement(X_45))) ),
inference(resolve,[$cnf( $equal(join(X_45,join(zero,complement(X_45))),top) )],[refute_0_506,refute_0_507]) ).
cnf(refute_0_509,plain,
join(X_44,top) = join(join(X_44,X_45),join(zero,complement(X_45))),
inference(resolve,[$cnf( $equal(join(X_44,join(X_45,join(zero,complement(X_45)))),join(join(X_44,X_45),join(zero,complement(X_45)))) )],[refute_0_503,refute_0_508]) ).
cnf(refute_0_510,plain,
join(X0,join(X_44,X_45)) = join(join(X_44,X_45),X0),
inference(subst,[],[refute_0_1:[bind(X1,$fot(join(X_44,X_45)))]]) ).
cnf(refute_0_511,plain,
join(X_44,join(X_45,X0)) = join(join(X_44,X_45),X0),
inference(subst,[],[refute_0_135:[bind(X0,$fot(X_44)),bind(X1,$fot(X_45)),bind(X2,$fot(X0))]]) ).
cnf(refute_0_512,plain,
( join(X_44,join(X_45,X0)) != join(join(X_44,X_45),X0)
| join(join(X_44,X_45),X0) = join(X_44,join(X_45,X0)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(X_44,join(X_45,X0)))),bind(Y,$fot(join(join(X_44,X_45),X0)))]]) ).
cnf(refute_0_513,plain,
join(join(X_44,X_45),X0) = join(X_44,join(X_45,X0)),
inference(resolve,[$cnf( $equal(join(X_44,join(X_45,X0)),join(join(X_44,X_45),X0)) )],[refute_0_511,refute_0_512]) ).
cnf(refute_0_514,plain,
( join(X0,join(X_44,X_45)) != join(join(X_44,X_45),X0)
| join(join(X_44,X_45),X0) != join(X_44,join(X_45,X0))
| join(X0,join(X_44,X_45)) = join(X_44,join(X_45,X0)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X0,join(X_44,X_45)),join(X_44,join(X_45,X0))) ),[0],$fot(join(join(X_44,X_45),X0))]]) ).
cnf(refute_0_515,plain,
( join(X0,join(X_44,X_45)) != join(join(X_44,X_45),X0)
| join(X0,join(X_44,X_45)) = join(X_44,join(X_45,X0)) ),
inference(resolve,[$cnf( $equal(join(join(X_44,X_45),X0),join(X_44,join(X_45,X0))) )],[refute_0_513,refute_0_514]) ).
cnf(refute_0_516,plain,
join(X0,join(X_44,X_45)) = join(X_44,join(X_45,X0)),
inference(resolve,[$cnf( $equal(join(X0,join(X_44,X_45)),join(join(X_44,X_45),X0)) )],[refute_0_510,refute_0_515]) ).
cnf(refute_0_517,plain,
( join(X0,join(X_44,X_45)) != join(X_44,join(X_45,X0))
| join(X_44,join(X_45,X0)) = join(X0,join(X_44,X_45)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(X0,join(X_44,X_45)))),bind(Y,$fot(join(X_44,join(X_45,X0))))]]) ).
cnf(refute_0_518,plain,
join(X_44,join(X_45,X0)) = join(X0,join(X_44,X_45)),
inference(resolve,[$cnf( $equal(join(X0,join(X_44,X_45)),join(X_44,join(X_45,X0))) )],[refute_0_516,refute_0_517]) ).
cnf(refute_0_519,plain,
join(complement(X_45),join(X_44,X_45)) = join(X_45,join(complement(X_45),X_44)),
inference(subst,[],[refute_0_518:[bind(X0,$fot(X_45)),bind(X_44,$fot(complement(X_45))),bind(X_45,$fot(X_44))]]) ).
cnf(refute_0_520,plain,
join(zero,join(complement(X_45),join(X_44,X_45))) = join(zero,join(complement(X_45),join(X_44,X_45))),
introduced(tautology,[refl,[$fot(join(zero,join(complement(X_45),join(X_44,X_45))))]]) ).
cnf(refute_0_521,plain,
( join(complement(X_45),join(X_44,X_45)) != join(X_45,join(complement(X_45),X_44))
| join(zero,join(complement(X_45),join(X_44,X_45))) != join(zero,join(complement(X_45),join(X_44,X_45)))
| join(zero,join(complement(X_45),join(X_44,X_45))) = join(zero,join(X_45,join(complement(X_45),X_44))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,join(complement(X_45),join(X_44,X_45))),join(zero,join(complement(X_45),join(X_44,X_45)))) ),[1,1],$fot(join(X_45,join(complement(X_45),X_44)))]]) ).
cnf(refute_0_522,plain,
( join(complement(X_45),join(X_44,X_45)) != join(X_45,join(complement(X_45),X_44))
| join(zero,join(complement(X_45),join(X_44,X_45))) = join(zero,join(X_45,join(complement(X_45),X_44))) ),
inference(resolve,[$cnf( $equal(join(zero,join(complement(X_45),join(X_44,X_45))),join(zero,join(complement(X_45),join(X_44,X_45)))) )],[refute_0_520,refute_0_521]) ).
cnf(refute_0_523,plain,
join(zero,join(complement(X_45),join(X_44,X_45))) = join(zero,join(X_45,join(complement(X_45),X_44))),
inference(resolve,[$cnf( $equal(join(complement(X_45),join(X_44,X_45)),join(X_45,join(complement(X_45),X_44))) )],[refute_0_519,refute_0_522]) ).
cnf(refute_0_524,plain,
join(complement(X_45),join(join(X_44,X_45),zero)) = join(zero,join(complement(X_45),join(X_44,X_45))),
inference(subst,[],[refute_0_518:[bind(X0,$fot(zero)),bind(X_44,$fot(complement(X_45))),bind(X_45,$fot(join(X_44,X_45)))]]) ).
cnf(refute_0_525,plain,
join(join(X_44,X_45),join(zero,complement(X_45))) = join(complement(X_45),join(join(X_44,X_45),zero)),
inference(subst,[],[refute_0_518:[bind(X0,$fot(complement(X_45))),bind(X_44,$fot(join(X_44,X_45))),bind(X_45,$fot(zero))]]) ).
cnf(refute_0_526,plain,
( join(complement(X_45),join(join(X_44,X_45),zero)) != join(zero,join(complement(X_45),join(X_44,X_45)))
| join(join(X_44,X_45),join(zero,complement(X_45))) != join(complement(X_45),join(join(X_44,X_45),zero))
| join(join(X_44,X_45),join(zero,complement(X_45))) = join(zero,join(complement(X_45),join(X_44,X_45))) ),
inference(subst,[],[refute_0_71:[bind(X,$fot(join(join(X_44,X_45),join(zero,complement(X_45))))),bind(Y,$fot(join(complement(X_45),join(join(X_44,X_45),zero)))),bind(Z,$fot(join(zero,join(complement(X_45),join(X_44,X_45)))))]]) ).
cnf(refute_0_527,plain,
( join(complement(X_45),join(join(X_44,X_45),zero)) != join(zero,join(complement(X_45),join(X_44,X_45)))
| join(join(X_44,X_45),join(zero,complement(X_45))) = join(zero,join(complement(X_45),join(X_44,X_45))) ),
inference(resolve,[$cnf( $equal(join(join(X_44,X_45),join(zero,complement(X_45))),join(complement(X_45),join(join(X_44,X_45),zero))) )],[refute_0_525,refute_0_526]) ).
cnf(refute_0_528,plain,
join(join(X_44,X_45),join(zero,complement(X_45))) = join(zero,join(complement(X_45),join(X_44,X_45))),
inference(resolve,[$cnf( $equal(join(complement(X_45),join(join(X_44,X_45),zero)),join(zero,join(complement(X_45),join(X_44,X_45)))) )],[refute_0_524,refute_0_527]) ).
cnf(refute_0_529,plain,
( join(join(X_44,X_45),join(zero,complement(X_45))) != join(zero,join(complement(X_45),join(X_44,X_45)))
| join(zero,join(complement(X_45),join(X_44,X_45))) != join(zero,join(X_45,join(complement(X_45),X_44)))
| join(join(X_44,X_45),join(zero,complement(X_45))) = join(zero,join(X_45,join(complement(X_45),X_44))) ),
inference(subst,[],[refute_0_71:[bind(X,$fot(join(join(X_44,X_45),join(zero,complement(X_45))))),bind(Y,$fot(join(zero,join(complement(X_45),join(X_44,X_45))))),bind(Z,$fot(join(zero,join(X_45,join(complement(X_45),X_44)))))]]) ).
cnf(refute_0_530,plain,
( join(zero,join(complement(X_45),join(X_44,X_45))) != join(zero,join(X_45,join(complement(X_45),X_44)))
| join(join(X_44,X_45),join(zero,complement(X_45))) = join(zero,join(X_45,join(complement(X_45),X_44))) ),
inference(resolve,[$cnf( $equal(join(join(X_44,X_45),join(zero,complement(X_45))),join(zero,join(complement(X_45),join(X_44,X_45)))) )],[refute_0_528,refute_0_529]) ).
cnf(refute_0_531,plain,
join(join(X_44,X_45),join(zero,complement(X_45))) = join(zero,join(X_45,join(complement(X_45),X_44))),
inference(resolve,[$cnf( $equal(join(zero,join(complement(X_45),join(X_44,X_45))),join(zero,join(X_45,join(complement(X_45),X_44)))) )],[refute_0_523,refute_0_530]) ).
cnf(refute_0_532,plain,
( join(X_44,top) != join(join(X_44,X_45),join(zero,complement(X_45)))
| join(join(X_44,X_45),join(zero,complement(X_45))) != join(zero,join(X_45,join(complement(X_45),X_44)))
| join(X_44,top) = join(zero,join(X_45,join(complement(X_45),X_44))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_44,top),join(zero,join(X_45,join(complement(X_45),X_44)))) ),[0],$fot(join(join(X_44,X_45),join(zero,complement(X_45))))]]) ).
cnf(refute_0_533,plain,
( join(X_44,top) != join(join(X_44,X_45),join(zero,complement(X_45)))
| join(X_44,top) = join(zero,join(X_45,join(complement(X_45),X_44))) ),
inference(resolve,[$cnf( $equal(join(join(X_44,X_45),join(zero,complement(X_45))),join(zero,join(X_45,join(complement(X_45),X_44)))) )],[refute_0_531,refute_0_532]) ).
cnf(refute_0_534,plain,
join(X_44,top) = join(zero,join(X_45,join(complement(X_45),X_44))),
inference(resolve,[$cnf( $equal(join(X_44,top),join(join(X_44,X_45),join(zero,complement(X_45)))) )],[refute_0_509,refute_0_533]) ).
cnf(refute_0_535,plain,
join(top,join(zero,X_44)) = join(top,X_44),
inference(subst,[],[refute_0_365:[bind(X_46,$fot(X_44))]]) ).
cnf(refute_0_536,plain,
join(X_44,join(X_45,X_46)) = join(join(X_44,X_45),X_46),
inference(subst,[],[refute_0_135:[bind(X0,$fot(X_44)),bind(X1,$fot(X_45)),bind(X2,$fot(X_46))]]) ).
cnf(refute_0_537,plain,
join(X_45,X_44) = join(X_44,X_45),
inference(subst,[],[refute_0_1:[bind(X0,$fot(X_45)),bind(X1,$fot(X_44))]]) ).
cnf(refute_0_538,plain,
( join(X_45,X_44) != join(X_44,X_45)
| join(X_44,X_45) = join(X_45,X_44) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(X_45,X_44))),bind(Y,$fot(join(X_44,X_45)))]]) ).
cnf(refute_0_539,plain,
join(X_44,X_45) = join(X_45,X_44),
inference(resolve,[$cnf( $equal(join(X_45,X_44),join(X_44,X_45)) )],[refute_0_537,refute_0_538]) ).
cnf(refute_0_540,plain,
( join(X_44,X_45) != join(X_45,X_44)
| join(X_44,join(X_45,X_46)) != join(join(X_44,X_45),X_46)
| join(X_44,join(X_45,X_46)) = join(join(X_45,X_44),X_46) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_44,join(X_45,X_46)),join(join(X_44,X_45),X_46)) ),[1,0],$fot(join(X_45,X_44))]]) ).
cnf(refute_0_541,plain,
( join(X_44,join(X_45,X_46)) != join(join(X_44,X_45),X_46)
| join(X_44,join(X_45,X_46)) = join(join(X_45,X_44),X_46) ),
inference(resolve,[$cnf( $equal(join(X_44,X_45),join(X_45,X_44)) )],[refute_0_539,refute_0_540]) ).
cnf(refute_0_542,plain,
join(X_44,join(X_45,X_46)) = join(join(X_45,X_44),X_46),
inference(resolve,[$cnf( $equal(join(X_44,join(X_45,X_46)),join(join(X_44,X_45),X_46)) )],[refute_0_536,refute_0_541]) ).
cnf(refute_0_543,plain,
join(join(X_45,X_44),X_46) = join(X_45,join(X_44,X_46)),
inference(subst,[],[refute_0_241:[bind(X0,$fot(X_45)),bind(X1,$fot(X_44)),bind(X2,$fot(X_46))]]) ).
cnf(refute_0_544,plain,
( join(X_44,join(X_45,X_46)) != join(join(X_45,X_44),X_46)
| join(join(X_45,X_44),X_46) != join(X_45,join(X_44,X_46))
| join(X_44,join(X_45,X_46)) = join(X_45,join(X_44,X_46)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_44,join(X_45,X_46)),join(X_45,join(X_44,X_46))) ),[0],$fot(join(join(X_45,X_44),X_46))]]) ).
cnf(refute_0_545,plain,
( join(X_44,join(X_45,X_46)) != join(join(X_45,X_44),X_46)
| join(X_44,join(X_45,X_46)) = join(X_45,join(X_44,X_46)) ),
inference(resolve,[$cnf( $equal(join(join(X_45,X_44),X_46),join(X_45,join(X_44,X_46))) )],[refute_0_543,refute_0_544]) ).
cnf(refute_0_546,plain,
join(X_44,join(X_45,X_46)) = join(X_45,join(X_44,X_46)),
inference(resolve,[$cnf( $equal(join(X_44,join(X_45,X_46)),join(join(X_45,X_44),X_46)) )],[refute_0_542,refute_0_545]) ).
cnf(refute_0_547,plain,
( join(X_44,join(X_45,X_46)) != join(X_45,join(X_44,X_46))
| join(X_45,join(X_44,X_46)) = join(X_44,join(X_45,X_46)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(X_44,join(X_45,X_46)))),bind(Y,$fot(join(X_45,join(X_44,X_46))))]]) ).
cnf(refute_0_548,plain,
join(X_45,join(X_44,X_46)) = join(X_44,join(X_45,X_46)),
inference(resolve,[$cnf( $equal(join(X_44,join(X_45,X_46)),join(X_45,join(X_44,X_46))) )],[refute_0_546,refute_0_547]) ).
cnf(refute_0_549,plain,
join(zero,join(top,X_44)) = join(top,join(zero,X_44)),
inference(subst,[],[refute_0_548:[bind(X_44,$fot(top)),bind(X_45,$fot(zero)),bind(X_46,$fot(X_44))]]) ).
cnf(refute_0_550,plain,
( join(top,join(zero,X_44)) != join(top,X_44)
| join(zero,join(top,X_44)) != join(top,join(zero,X_44))
| join(zero,join(top,X_44)) = join(top,X_44) ),
inference(subst,[],[refute_0_71:[bind(X,$fot(join(zero,join(top,X_44)))),bind(Y,$fot(join(top,join(zero,X_44)))),bind(Z,$fot(join(top,X_44)))]]) ).
cnf(refute_0_551,plain,
( join(top,join(zero,X_44)) != join(top,X_44)
| join(zero,join(top,X_44)) = join(top,X_44) ),
inference(resolve,[$cnf( $equal(join(zero,join(top,X_44)),join(top,join(zero,X_44))) )],[refute_0_549,refute_0_550]) ).
cnf(refute_0_552,plain,
join(zero,join(top,X_44)) = join(top,X_44),
inference(resolve,[$cnf( $equal(join(top,join(zero,X_44)),join(top,X_44)) )],[refute_0_535,refute_0_551]) ).
cnf(refute_0_553,plain,
join(X_44,join(complement(X_44),X_46)) = join(join(X_44,complement(X_44)),X_46),
inference(subst,[],[refute_0_135:[bind(X0,$fot(X_44)),bind(X1,$fot(complement(X_44))),bind(X2,$fot(X_46))]]) ).
cnf(refute_0_554,plain,
top = join(X_44,complement(X_44)),
inference(subst,[],[refute_0_105:[bind(X0,$fot(X_44))]]) ).
cnf(refute_0_555,plain,
( top != join(X_44,complement(X_44))
| join(X_44,complement(X_44)) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(X_44,complement(X_44))))]]) ).
cnf(refute_0_556,plain,
join(X_44,complement(X_44)) = top,
inference(resolve,[$cnf( $equal(top,join(X_44,complement(X_44))) )],[refute_0_554,refute_0_555]) ).
cnf(refute_0_557,plain,
( join(X_44,complement(X_44)) != top
| join(X_44,join(complement(X_44),X_46)) != join(join(X_44,complement(X_44)),X_46)
| join(X_44,join(complement(X_44),X_46)) = join(top,X_46) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_44,join(complement(X_44),X_46)),join(join(X_44,complement(X_44)),X_46)) ),[1,0],$fot(top)]]) ).
cnf(refute_0_558,plain,
( join(X_44,join(complement(X_44),X_46)) != join(join(X_44,complement(X_44)),X_46)
| join(X_44,join(complement(X_44),X_46)) = join(top,X_46) ),
inference(resolve,[$cnf( $equal(join(X_44,complement(X_44)),top) )],[refute_0_556,refute_0_557]) ).
cnf(refute_0_559,plain,
join(X_44,join(complement(X_44),X_46)) = join(top,X_46),
inference(resolve,[$cnf( $equal(join(X_44,join(complement(X_44),X_46)),join(join(X_44,complement(X_44)),X_46)) )],[refute_0_553,refute_0_558]) ).
cnf(refute_0_560,plain,
join(X_45,join(complement(X_45),X_44)) = join(top,X_44),
inference(subst,[],[refute_0_559:[bind(X_44,$fot(X_45)),bind(X_46,$fot(X_44))]]) ).
cnf(refute_0_561,plain,
join(zero,join(X_45,join(complement(X_45),X_44))) = join(zero,join(X_45,join(complement(X_45),X_44))),
introduced(tautology,[refl,[$fot(join(zero,join(X_45,join(complement(X_45),X_44))))]]) ).
cnf(refute_0_562,plain,
( join(X_45,join(complement(X_45),X_44)) != join(top,X_44)
| join(zero,join(X_45,join(complement(X_45),X_44))) != join(zero,join(X_45,join(complement(X_45),X_44)))
| join(zero,join(X_45,join(complement(X_45),X_44))) = join(zero,join(top,X_44)) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,join(X_45,join(complement(X_45),X_44))),join(zero,join(X_45,join(complement(X_45),X_44)))) ),[1,1],$fot(join(top,X_44))]]) ).
cnf(refute_0_563,plain,
( join(X_45,join(complement(X_45),X_44)) != join(top,X_44)
| join(zero,join(X_45,join(complement(X_45),X_44))) = join(zero,join(top,X_44)) ),
inference(resolve,[$cnf( $equal(join(zero,join(X_45,join(complement(X_45),X_44))),join(zero,join(X_45,join(complement(X_45),X_44)))) )],[refute_0_561,refute_0_562]) ).
cnf(refute_0_564,plain,
join(zero,join(X_45,join(complement(X_45),X_44))) = join(zero,join(top,X_44)),
inference(resolve,[$cnf( $equal(join(X_45,join(complement(X_45),X_44)),join(top,X_44)) )],[refute_0_560,refute_0_563]) ).
cnf(refute_0_565,plain,
( join(zero,join(X_45,join(complement(X_45),X_44))) != join(zero,join(top,X_44))
| join(zero,join(top,X_44)) != join(top,X_44)
| join(zero,join(X_45,join(complement(X_45),X_44))) = join(top,X_44) ),
inference(subst,[],[refute_0_71:[bind(X,$fot(join(zero,join(X_45,join(complement(X_45),X_44))))),bind(Y,$fot(join(zero,join(top,X_44)))),bind(Z,$fot(join(top,X_44)))]]) ).
cnf(refute_0_566,plain,
( join(zero,join(top,X_44)) != join(top,X_44)
| join(zero,join(X_45,join(complement(X_45),X_44))) = join(top,X_44) ),
inference(resolve,[$cnf( $equal(join(zero,join(X_45,join(complement(X_45),X_44))),join(zero,join(top,X_44))) )],[refute_0_564,refute_0_565]) ).
cnf(refute_0_567,plain,
join(zero,join(X_45,join(complement(X_45),X_44))) = join(top,X_44),
inference(resolve,[$cnf( $equal(join(zero,join(top,X_44)),join(top,X_44)) )],[refute_0_552,refute_0_566]) ).
cnf(refute_0_568,plain,
( join(X_44,top) != join(zero,join(X_45,join(complement(X_45),X_44)))
| join(zero,join(X_45,join(complement(X_45),X_44))) != join(top,X_44)
| join(X_44,top) = join(top,X_44) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_44,top),join(top,X_44)) ),[0],$fot(join(zero,join(X_45,join(complement(X_45),X_44))))]]) ).
cnf(refute_0_569,plain,
( join(X_44,top) != join(zero,join(X_45,join(complement(X_45),X_44)))
| join(X_44,top) = join(top,X_44) ),
inference(resolve,[$cnf( $equal(join(zero,join(X_45,join(complement(X_45),X_44))),join(top,X_44)) )],[refute_0_567,refute_0_568]) ).
cnf(refute_0_570,plain,
join(X_44,top) = join(top,X_44),
inference(resolve,[$cnf( $equal(join(X_44,top),join(zero,join(X_45,join(complement(X_45),X_44)))) )],[refute_0_534,refute_0_569]) ).
cnf(refute_0_571,plain,
join(converse(top),top) = join(top,converse(top)),
inference(subst,[],[refute_0_570:[bind(X_44,$fot(converse(top)))]]) ).
cnf(refute_0_572,plain,
converse(join(top,converse(top))) = join(converse(top),top),
inference(subst,[],[refute_0_231:[bind(X0,$fot(top)),bind(X_4,$fot(top))]]) ).
cnf(refute_0_573,plain,
( converse(join(top,converse(top))) != join(converse(top),top)
| join(converse(top),top) != join(top,converse(top))
| converse(join(top,converse(top))) = join(top,converse(top)) ),
inference(subst,[],[refute_0_71:[bind(X,$fot(converse(join(top,converse(top))))),bind(Y,$fot(join(converse(top),top))),bind(Z,$fot(join(top,converse(top))))]]) ).
cnf(refute_0_574,plain,
( join(converse(top),top) != join(top,converse(top))
| converse(join(top,converse(top))) = join(top,converse(top)) ),
inference(resolve,[$cnf( $equal(converse(join(top,converse(top))),join(converse(top),top)) )],[refute_0_572,refute_0_573]) ).
cnf(refute_0_575,plain,
converse(join(top,converse(top))) = join(top,converse(top)),
inference(resolve,[$cnf( $equal(join(converse(top),top),join(top,converse(top))) )],[refute_0_571,refute_0_574]) ).
cnf(refute_0_576,plain,
( converse(join(top,converse(top))) != join(top,converse(top))
| join(converse(top),complement(converse(zero))) != converse(join(top,converse(top)))
| join(converse(top),complement(converse(zero))) = join(top,converse(top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(top),complement(converse(zero))),converse(join(top,converse(top)))) ),[1],$fot(join(top,converse(top)))]]) ).
cnf(refute_0_577,plain,
( join(converse(top),complement(converse(zero))) != converse(join(top,converse(top)))
| join(converse(top),complement(converse(zero))) = join(top,converse(top)) ),
inference(resolve,[$cnf( $equal(converse(join(top,converse(top))),join(top,converse(top))) )],[refute_0_575,refute_0_576]) ).
cnf(refute_0_578,plain,
( converse(join(converse(complement(converse(zero))),top)) != converse(join(top,converse(top)))
| join(converse(top),complement(converse(zero))) = join(top,converse(top)) ),
inference(resolve,[$cnf( $equal(join(converse(top),complement(converse(zero))),converse(join(top,converse(top)))) )],[refute_0_502,refute_0_577]) ).
cnf(refute_0_579,plain,
join(converse(top),complement(converse(zero))) = join(top,converse(top)),
inference(resolve,[$cnf( $equal(converse(join(converse(complement(converse(zero))),top)),converse(join(top,converse(top)))) )],[refute_0_496,refute_0_578]) ).
cnf(refute_0_580,plain,
( converse(top) != join(top,converse(join(complement(converse(zero)),complement(join(converse(top),complement(converse(zero)))))))
| join(converse(top),complement(converse(zero))) != join(top,converse(top))
| converse(top) = join(top,converse(join(complement(converse(zero)),complement(join(top,converse(top)))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(top),join(top,converse(join(complement(converse(zero)),complement(join(converse(top),complement(converse(zero)))))))) ),[1,1,0,1,0],$fot(join(top,converse(top)))]]) ).
cnf(refute_0_581,plain,
( converse(top) != join(top,converse(join(complement(converse(zero)),complement(join(converse(top),complement(converse(zero)))))))
| converse(top) = join(top,converse(join(complement(converse(zero)),complement(join(top,converse(top)))))) ),
inference(resolve,[$cnf( $equal(join(converse(top),complement(converse(zero))),join(top,converse(top))) )],[refute_0_579,refute_0_580]) ).
cnf(refute_0_582,plain,
converse(top) = join(top,converse(join(complement(converse(zero)),complement(join(top,converse(top)))))),
inference(resolve,[$cnf( $equal(converse(top),join(top,converse(join(complement(converse(zero)),complement(join(converse(top),complement(converse(zero)))))))) )],[refute_0_483,refute_0_581]) ).
cnf(refute_0_583,plain,
join(top,converse(join(complement(converse(zero)),complement(join(top,converse(top)))))) = top,
inference(subst,[],[refute_0_481:[bind(X_65,$fot(converse(join(complement(converse(zero)),complement(join(top,converse(top)))))))]]) ).
cnf(refute_0_584,plain,
( converse(top) != join(top,converse(join(complement(converse(zero)),complement(join(top,converse(top))))))
| join(top,converse(join(complement(converse(zero)),complement(join(top,converse(top)))))) != top
| converse(top) = top ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(top),top) ),[0],$fot(join(top,converse(join(complement(converse(zero)),complement(join(top,converse(top)))))))]]) ).
cnf(refute_0_585,plain,
( converse(top) != join(top,converse(join(complement(converse(zero)),complement(join(top,converse(top))))))
| converse(top) = top ),
inference(resolve,[$cnf( $equal(join(top,converse(join(complement(converse(zero)),complement(join(top,converse(top)))))),top) )],[refute_0_583,refute_0_584]) ).
cnf(refute_0_586,plain,
converse(top) = top,
inference(resolve,[$cnf( $equal(converse(top),join(top,converse(join(complement(converse(zero)),complement(join(top,converse(top))))))) )],[refute_0_582,refute_0_585]) ).
cnf(refute_0_587,plain,
join(converse(top),X_46) = join(converse(top),X_46),
introduced(tautology,[refl,[$fot(join(converse(top),X_46))]]) ).
cnf(refute_0_588,plain,
( converse(top) != top
| join(converse(top),X_46) != join(converse(top),X_46)
| join(converse(top),X_46) = join(top,X_46) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(top),X_46),join(converse(top),X_46)) ),[1,0],$fot(top)]]) ).
cnf(refute_0_589,plain,
( converse(top) != top
| join(converse(top),X_46) = join(top,X_46) ),
inference(resolve,[$cnf( $equal(join(converse(top),X_46),join(converse(top),X_46)) )],[refute_0_587,refute_0_588]) ).
cnf(refute_0_590,plain,
join(converse(top),X_46) = join(top,X_46),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_586,refute_0_589]) ).
cnf(refute_0_591,plain,
( join(converse(top),X_46) != join(top,X_46)
| join(top,X_46) != top
| join(converse(top),X_46) = top ),
inference(subst,[],[refute_0_71:[bind(X,$fot(join(converse(top),X_46))),bind(Y,$fot(join(top,X_46))),bind(Z,$fot(top))]]) ).
cnf(refute_0_592,plain,
( join(top,X_46) != top
| join(converse(top),X_46) = top ),
inference(resolve,[$cnf( $equal(join(converse(top),X_46),join(top,X_46)) )],[refute_0_590,refute_0_591]) ).
cnf(refute_0_593,plain,
join(converse(top),X_46) = top,
inference(resolve,[$cnf( $equal(join(top,X_46),top) )],[refute_0_482,refute_0_592]) ).
cnf(refute_0_594,plain,
( join(X_44,join(converse(complement(converse(X_44))),X_46)) != join(converse(top),X_46)
| join(converse(top),X_46) != top
| join(X_44,join(converse(complement(converse(X_44))),X_46)) = top ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_44,join(converse(complement(converse(X_44))),X_46)),top) ),[0],$fot(join(converse(top),X_46))]]) ).
cnf(refute_0_595,plain,
( join(X_44,join(converse(complement(converse(X_44))),X_46)) != join(converse(top),X_46)
| join(X_44,join(converse(complement(converse(X_44))),X_46)) = top ),
inference(resolve,[$cnf( $equal(join(converse(top),X_46),top) )],[refute_0_593,refute_0_594]) ).
cnf(refute_0_596,plain,
join(X_44,join(converse(complement(converse(X_44))),X_46)) = top,
inference(resolve,[$cnf( $equal(join(X_44,join(converse(complement(converse(X_44))),X_46)),join(converse(top),X_46)) )],[refute_0_467,refute_0_595]) ).
cnf(refute_0_597,plain,
join(X1,join(converse(complement(converse(X1))),X_139)) = top,
inference(subst,[],[refute_0_596:[bind(X_44,$fot(X1)),bind(X_46,$fot(X_139))]]) ).
cnf(refute_0_598,plain,
( converse(join(join(converse(complement(converse(X1))),X_139),X1)) != converse(join(X1,join(converse(complement(converse(X1))),X_139)))
| join(X1,join(converse(complement(converse(X1))),X_139)) != top
| converse(join(join(converse(complement(converse(X1))),X_139),X1)) = converse(top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(converse(complement(converse(X1))),X_139),X1)),converse(join(X1,join(converse(complement(converse(X1))),X_139)))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_599,plain,
( converse(join(join(converse(complement(converse(X1))),X_139),X1)) != converse(join(X1,join(converse(complement(converse(X1))),X_139)))
| converse(join(join(converse(complement(converse(X1))),X_139),X1)) = converse(top) ),
inference(resolve,[$cnf( $equal(join(X1,join(converse(complement(converse(X1))),X_139)),top) )],[refute_0_597,refute_0_598]) ).
cnf(refute_0_600,plain,
converse(join(join(converse(complement(converse(X1))),X_139),X1)) = converse(top),
inference(resolve,[$cnf( $equal(converse(join(join(converse(complement(converse(X1))),X_139),X1)),converse(join(X1,join(converse(complement(converse(X1))),X_139)))) )],[refute_0_460,refute_0_599]) ).
cnf(refute_0_601,plain,
converse(join(converse(X0),join(X_129,X_130))) = join(X0,converse(join(X_129,X_130))),
inference(subst,[],[refute_0_218:[bind(X_5,$fot(join(X_129,X_130)))]]) ).
cnf(refute_0_602,plain,
join(converse(X0),join(X_129,X_130)) = join(X_129,join(converse(X0),X_130)),
inference(subst,[],[refute_0_546:[bind(X_44,$fot(converse(X0))),bind(X_45,$fot(X_129)),bind(X_46,$fot(X_130))]]) ).
cnf(refute_0_603,plain,
( converse(join(converse(X0),join(X_129,X_130))) != join(X0,converse(join(X_129,X_130)))
| join(converse(X0),join(X_129,X_130)) != join(X_129,join(converse(X0),X_130))
| converse(join(X_129,join(converse(X0),X_130))) = join(X0,converse(join(X_129,X_130))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X0),join(X_129,X_130))),join(X0,converse(join(X_129,X_130)))) ),[0,0],$fot(join(X_129,join(converse(X0),X_130)))]]) ).
cnf(refute_0_604,plain,
( converse(join(converse(X0),join(X_129,X_130))) != join(X0,converse(join(X_129,X_130)))
| converse(join(X_129,join(converse(X0),X_130))) = join(X0,converse(join(X_129,X_130))) ),
inference(resolve,[$cnf( $equal(join(converse(X0),join(X_129,X_130)),join(X_129,join(converse(X0),X_130))) )],[refute_0_602,refute_0_603]) ).
cnf(refute_0_605,plain,
converse(join(X_129,join(converse(X0),X_130))) = join(X0,converse(join(X_129,X_130))),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),join(X_129,X_130))),join(X0,converse(join(X_129,X_130)))) )],[refute_0_601,refute_0_604]) ).
cnf(refute_0_606,plain,
converse(join(X1,join(converse(complement(converse(X1))),X_139))) = join(complement(converse(X1)),converse(join(X1,X_139))),
inference(subst,[],[refute_0_605:[bind(X0,$fot(complement(converse(X1)))),bind(X_129,$fot(X1)),bind(X_130,$fot(X_139))]]) ).
cnf(refute_0_607,plain,
( converse(join(X1,join(converse(complement(converse(X1))),X_139))) != join(complement(converse(X1)),converse(join(X1,X_139)))
| converse(join(join(converse(complement(converse(X1))),X_139),X1)) != converse(join(X1,join(converse(complement(converse(X1))),X_139)))
| converse(join(join(converse(complement(converse(X1))),X_139),X1)) = join(complement(converse(X1)),converse(join(X1,X_139))) ),
inference(subst,[],[refute_0_71:[bind(X,$fot(converse(join(join(converse(complement(converse(X1))),X_139),X1)))),bind(Y,$fot(converse(join(X1,join(converse(complement(converse(X1))),X_139))))),bind(Z,$fot(join(complement(converse(X1)),converse(join(X1,X_139)))))]]) ).
cnf(refute_0_608,plain,
( converse(join(X1,join(converse(complement(converse(X1))),X_139))) != join(complement(converse(X1)),converse(join(X1,X_139)))
| converse(join(join(converse(complement(converse(X1))),X_139),X1)) = join(complement(converse(X1)),converse(join(X1,X_139))) ),
inference(resolve,[$cnf( $equal(converse(join(join(converse(complement(converse(X1))),X_139),X1)),converse(join(X1,join(converse(complement(converse(X1))),X_139)))) )],[refute_0_460,refute_0_607]) ).
cnf(refute_0_609,plain,
converse(join(join(converse(complement(converse(X1))),X_139),X1)) = join(complement(converse(X1)),converse(join(X1,X_139))),
inference(resolve,[$cnf( $equal(converse(join(X1,join(converse(complement(converse(X1))),X_139))),join(complement(converse(X1)),converse(join(X1,X_139)))) )],[refute_0_606,refute_0_608]) ).
cnf(refute_0_610,plain,
( converse(join(join(converse(complement(converse(X1))),X_139),X1)) != converse(top)
| converse(join(join(converse(complement(converse(X1))),X_139),X1)) != join(complement(converse(X1)),converse(join(X1,X_139)))
| join(complement(converse(X1)),converse(join(X1,X_139))) = converse(top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(converse(complement(converse(X1))),X_139),X1)),converse(top)) ),[0],$fot(join(complement(converse(X1)),converse(join(X1,X_139))))]]) ).
cnf(refute_0_611,plain,
( converse(join(join(converse(complement(converse(X1))),X_139),X1)) != converse(top)
| join(complement(converse(X1)),converse(join(X1,X_139))) = converse(top) ),
inference(resolve,[$cnf( $equal(converse(join(join(converse(complement(converse(X1))),X_139),X1)),join(complement(converse(X1)),converse(join(X1,X_139)))) )],[refute_0_609,refute_0_610]) ).
cnf(refute_0_612,plain,
( converse(top) != top
| join(complement(converse(X1)),converse(join(X1,X_139))) != converse(top)
| join(complement(converse(X1)),converse(join(X1,X_139))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(X1)),converse(join(X1,X_139))),converse(top)) ),[1],$fot(top)]]) ).
cnf(refute_0_613,plain,
( join(complement(converse(X1)),converse(join(X1,X_139))) != converse(top)
| join(complement(converse(X1)),converse(join(X1,X_139))) = top ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_586,refute_0_612]) ).
cnf(refute_0_614,plain,
( converse(join(join(converse(complement(converse(X1))),X_139),X1)) != converse(top)
| join(complement(converse(X1)),converse(join(X1,X_139))) = top ),
inference(resolve,[$cnf( $equal(join(complement(converse(X1)),converse(join(X1,X_139))),converse(top)) )],[refute_0_611,refute_0_613]) ).
cnf(refute_0_615,plain,
join(complement(converse(X1)),converse(join(X1,X_139))) = top,
inference(resolve,[$cnf( $equal(converse(join(join(converse(complement(converse(X1))),X_139),X1)),converse(top)) )],[refute_0_600,refute_0_614]) ).
cnf(refute_0_616,plain,
join(complement(converse(meet(X_161,X_160))),converse(join(meet(X_161,X_160),meet(X_160,complement(X_161))))) = top,
inference(subst,[],[refute_0_615:[bind(X1,$fot(meet(X_161,X_160))),bind(X_139,$fot(meet(X_160,complement(X_161))))]]) ).
cnf(refute_0_617,plain,
( X_160 != join(meet(X_161,X_160),meet(X_160,complement(X_161)))
| join(meet(X_161,X_160),meet(X_160,complement(X_161))) = X_160 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(X_160)),bind(Y,$fot(join(meet(X_161,X_160),meet(X_160,complement(X_161)))))]]) ).
cnf(refute_0_618,plain,
join(meet(X_161,X_160),meet(X_160,complement(X_161))) = X_160,
inference(resolve,[$cnf( $equal(X_160,join(meet(X_161,X_160),meet(X_160,complement(X_161)))) )],[refute_0_439,refute_0_617]) ).
cnf(refute_0_619,plain,
( join(complement(converse(meet(X_161,X_160))),converse(join(meet(X_161,X_160),meet(X_160,complement(X_161))))) != top
| join(meet(X_161,X_160),meet(X_160,complement(X_161))) != X_160
| join(complement(converse(meet(X_161,X_160))),converse(X_160)) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(meet(X_161,X_160))),converse(join(meet(X_161,X_160),meet(X_160,complement(X_161))))),top) ),[0,1,0],$fot(X_160)]]) ).
cnf(refute_0_620,plain,
( join(complement(converse(meet(X_161,X_160))),converse(join(meet(X_161,X_160),meet(X_160,complement(X_161))))) != top
| join(complement(converse(meet(X_161,X_160))),converse(X_160)) = top ),
inference(resolve,[$cnf( $equal(join(meet(X_161,X_160),meet(X_160,complement(X_161))),X_160) )],[refute_0_618,refute_0_619]) ).
cnf(refute_0_621,plain,
join(complement(converse(meet(X_161,X_160))),converse(X_160)) = top,
inference(resolve,[$cnf( $equal(join(complement(converse(meet(X_161,X_160))),converse(join(meet(X_161,X_160),meet(X_160,complement(X_161))))),top) )],[refute_0_616,refute_0_620]) ).
cnf(refute_0_622,plain,
join(complement(converse(meet(X_161,X_160))),converse(X_160)) = join(converse(X_160),complement(converse(meet(X_161,X_160)))),
inference(subst,[],[refute_0_6:[bind(X0,$fot(converse(X_160))),bind(X1,$fot(complement(converse(meet(X_161,X_160)))))]]) ).
cnf(refute_0_623,plain,
( join(complement(converse(meet(X_161,X_160))),converse(X_160)) != join(converse(X_160),complement(converse(meet(X_161,X_160))))
| join(complement(converse(meet(X_161,X_160))),converse(X_160)) != top
| join(converse(X_160),complement(converse(meet(X_161,X_160)))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(meet(X_161,X_160))),converse(X_160)),top) ),[0],$fot(join(converse(X_160),complement(converse(meet(X_161,X_160)))))]]) ).
cnf(refute_0_624,plain,
( join(complement(converse(meet(X_161,X_160))),converse(X_160)) != top
| join(converse(X_160),complement(converse(meet(X_161,X_160)))) = top ),
inference(resolve,[$cnf( $equal(join(complement(converse(meet(X_161,X_160))),converse(X_160)),join(converse(X_160),complement(converse(meet(X_161,X_160))))) )],[refute_0_622,refute_0_623]) ).
cnf(refute_0_625,plain,
join(converse(X_160),complement(converse(meet(X_161,X_160)))) = top,
inference(resolve,[$cnf( $equal(join(complement(converse(meet(X_161,X_160))),converse(X_160)),top) )],[refute_0_621,refute_0_624]) ).
cnf(refute_0_626,plain,
join(converse(converse(complement(converse(X_85)))),complement(converse(meet(complement(X_85),converse(complement(converse(X_85))))))) = top,
inference(subst,[],[refute_0_625:[bind(X_160,$fot(converse(complement(converse(X_85))))),bind(X_161,$fot(complement(X_85)))]]) ).
cnf(refute_0_627,plain,
X_73 = join(meet(X_73,converse(complement(converse(complement(X_73))))),complement(join(complement(X_73),converse(complement(converse(complement(X_73))))))),
inference(subst,[],[refute_0_77:[bind(X0,$fot(X_73)),bind(X1,$fot(converse(complement(converse(complement(X_73))))))]]) ).
cnf(refute_0_628,plain,
( converse(top) != join(X_8,converse(complement(converse(X_8))))
| converse(top) != top
| top = join(X_8,converse(complement(converse(X_8)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(top),join(X_8,converse(complement(converse(X_8))))) ),[0],$fot(top)]]) ).
cnf(refute_0_629,plain,
( converse(top) != join(X_8,converse(complement(converse(X_8))))
| top = join(X_8,converse(complement(converse(X_8)))) ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_586,refute_0_628]) ).
cnf(refute_0_630,plain,
top = join(X_8,converse(complement(converse(X_8)))),
inference(resolve,[$cnf( $equal(converse(top),join(X_8,converse(complement(converse(X_8))))) )],[refute_0_226,refute_0_629]) ).
cnf(refute_0_631,plain,
top = join(complement(X_73),converse(complement(converse(complement(X_73))))),
inference(subst,[],[refute_0_630:[bind(X_8,$fot(complement(X_73)))]]) ).
cnf(refute_0_632,plain,
( top != join(complement(X_73),converse(complement(converse(complement(X_73)))))
| join(complement(X_73),converse(complement(converse(complement(X_73))))) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(complement(X_73),converse(complement(converse(complement(X_73)))))))]]) ).
cnf(refute_0_633,plain,
join(complement(X_73),converse(complement(converse(complement(X_73))))) = top,
inference(resolve,[$cnf( $equal(top,join(complement(X_73),converse(complement(converse(complement(X_73)))))) )],[refute_0_631,refute_0_632]) ).
cnf(refute_0_634,plain,
( X_73 != join(meet(X_73,converse(complement(converse(complement(X_73))))),complement(join(complement(X_73),converse(complement(converse(complement(X_73)))))))
| join(complement(X_73),converse(complement(converse(complement(X_73))))) != top
| X_73 = join(meet(X_73,converse(complement(converse(complement(X_73))))),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(X_73,join(meet(X_73,converse(complement(converse(complement(X_73))))),complement(join(complement(X_73),converse(complement(converse(complement(X_73)))))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_0_635,plain,
( X_73 != join(meet(X_73,converse(complement(converse(complement(X_73))))),complement(join(complement(X_73),converse(complement(converse(complement(X_73)))))))
| X_73 = join(meet(X_73,converse(complement(converse(complement(X_73))))),complement(top)) ),
inference(resolve,[$cnf( $equal(join(complement(X_73),converse(complement(converse(complement(X_73))))),top) )],[refute_0_633,refute_0_634]) ).
cnf(refute_0_636,plain,
X_73 = join(meet(X_73,converse(complement(converse(complement(X_73))))),complement(top)),
inference(resolve,[$cnf( $equal(X_73,join(meet(X_73,converse(complement(converse(complement(X_73))))),complement(join(complement(X_73),converse(complement(converse(complement(X_73)))))))) )],[refute_0_627,refute_0_635]) ).
cnf(refute_0_637,plain,
join(complement(top),meet(X_73,converse(complement(converse(complement(X_73)))))) = join(complement(top),meet(X_73,converse(complement(converse(complement(X_73)))))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(X_73,converse(complement(converse(complement(X_73)))))))]]) ).
cnf(refute_0_638,plain,
( complement(top) != zero
| join(complement(top),meet(X_73,converse(complement(converse(complement(X_73)))))) != join(complement(top),meet(X_73,converse(complement(converse(complement(X_73))))))
| join(complement(top),meet(X_73,converse(complement(converse(complement(X_73)))))) = join(zero,meet(X_73,converse(complement(converse(complement(X_73)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(X_73,converse(complement(converse(complement(X_73)))))),join(complement(top),meet(X_73,converse(complement(converse(complement(X_73))))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_639,plain,
( complement(top) != zero
| join(complement(top),meet(X_73,converse(complement(converse(complement(X_73)))))) = join(zero,meet(X_73,converse(complement(converse(complement(X_73)))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_73,converse(complement(converse(complement(X_73)))))),join(complement(top),meet(X_73,converse(complement(converse(complement(X_73))))))) )],[refute_0_637,refute_0_638]) ).
cnf(refute_0_640,plain,
join(complement(top),meet(X_73,converse(complement(converse(complement(X_73)))))) = join(zero,meet(X_73,converse(complement(converse(complement(X_73)))))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_125,refute_0_639]) ).
cnf(refute_0_641,plain,
join(meet(X_73,converse(complement(converse(complement(X_73))))),complement(top)) = join(complement(top),meet(X_73,converse(complement(converse(complement(X_73)))))),
inference(subst,[],[refute_0_6:[bind(X0,$fot(complement(top))),bind(X1,$fot(meet(X_73,converse(complement(converse(complement(X_73)))))))]]) ).
cnf(refute_0_642,plain,
( join(complement(top),meet(X_73,converse(complement(converse(complement(X_73)))))) != join(zero,meet(X_73,converse(complement(converse(complement(X_73))))))
| join(meet(X_73,converse(complement(converse(complement(X_73))))),complement(top)) != join(complement(top),meet(X_73,converse(complement(converse(complement(X_73))))))
| join(meet(X_73,converse(complement(converse(complement(X_73))))),complement(top)) = join(zero,meet(X_73,converse(complement(converse(complement(X_73)))))) ),
inference(subst,[],[refute_0_71:[bind(X,$fot(join(meet(X_73,converse(complement(converse(complement(X_73))))),complement(top)))),bind(Y,$fot(join(complement(top),meet(X_73,converse(complement(converse(complement(X_73)))))))),bind(Z,$fot(join(zero,meet(X_73,converse(complement(converse(complement(X_73))))))))]]) ).
cnf(refute_0_643,plain,
( join(complement(top),meet(X_73,converse(complement(converse(complement(X_73)))))) != join(zero,meet(X_73,converse(complement(converse(complement(X_73))))))
| join(meet(X_73,converse(complement(converse(complement(X_73))))),complement(top)) = join(zero,meet(X_73,converse(complement(converse(complement(X_73)))))) ),
inference(resolve,[$cnf( $equal(join(meet(X_73,converse(complement(converse(complement(X_73))))),complement(top)),join(complement(top),meet(X_73,converse(complement(converse(complement(X_73))))))) )],[refute_0_641,refute_0_642]) ).
cnf(refute_0_644,plain,
join(meet(X_73,converse(complement(converse(complement(X_73))))),complement(top)) = join(zero,meet(X_73,converse(complement(converse(complement(X_73)))))),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_73,converse(complement(converse(complement(X_73)))))),join(zero,meet(X_73,converse(complement(converse(complement(X_73))))))) )],[refute_0_640,refute_0_643]) ).
cnf(refute_0_645,plain,
( X_73 != join(meet(X_73,converse(complement(converse(complement(X_73))))),complement(top))
| join(meet(X_73,converse(complement(converse(complement(X_73))))),complement(top)) != join(zero,meet(X_73,converse(complement(converse(complement(X_73))))))
| X_73 = join(zero,meet(X_73,converse(complement(converse(complement(X_73)))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_73,join(zero,meet(X_73,converse(complement(converse(complement(X_73))))))) ),[0],$fot(join(meet(X_73,converse(complement(converse(complement(X_73))))),complement(top)))]]) ).
cnf(refute_0_646,plain,
( X_73 != join(meet(X_73,converse(complement(converse(complement(X_73))))),complement(top))
| X_73 = join(zero,meet(X_73,converse(complement(converse(complement(X_73)))))) ),
inference(resolve,[$cnf( $equal(join(meet(X_73,converse(complement(converse(complement(X_73))))),complement(top)),join(zero,meet(X_73,converse(complement(converse(complement(X_73))))))) )],[refute_0_644,refute_0_645]) ).
cnf(refute_0_647,plain,
X_73 = join(zero,meet(X_73,converse(complement(converse(complement(X_73)))))),
inference(resolve,[$cnf( $equal(X_73,join(meet(X_73,converse(complement(converse(complement(X_73))))),complement(top))) )],[refute_0_636,refute_0_646]) ).
cnf(refute_0_648,plain,
join(zero,meet(X_73,converse(complement(converse(complement(X_73)))))) = meet(X_73,converse(complement(converse(complement(X_73))))),
inference(subst,[],[refute_0_396:[bind(X_75,$fot(meet(X_73,converse(complement(converse(complement(X_73)))))))]]) ).
cnf(refute_0_649,plain,
( X_73 != join(zero,meet(X_73,converse(complement(converse(complement(X_73))))))
| join(zero,meet(X_73,converse(complement(converse(complement(X_73)))))) != meet(X_73,converse(complement(converse(complement(X_73)))))
| X_73 = meet(X_73,converse(complement(converse(complement(X_73))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_73,meet(X_73,converse(complement(converse(complement(X_73)))))) ),[0],$fot(join(zero,meet(X_73,converse(complement(converse(complement(X_73)))))))]]) ).
cnf(refute_0_650,plain,
( X_73 != join(zero,meet(X_73,converse(complement(converse(complement(X_73))))))
| X_73 = meet(X_73,converse(complement(converse(complement(X_73))))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_73,converse(complement(converse(complement(X_73)))))),meet(X_73,converse(complement(converse(complement(X_73)))))) )],[refute_0_648,refute_0_649]) ).
cnf(refute_0_651,plain,
X_73 = meet(X_73,converse(complement(converse(complement(X_73))))),
inference(resolve,[$cnf( $equal(X_73,join(zero,meet(X_73,converse(complement(converse(complement(X_73))))))) )],[refute_0_647,refute_0_650]) ).
cnf(refute_0_652,plain,
complement(X_85) = meet(complement(X_85),converse(complement(converse(complement(complement(X_85)))))),
inference(subst,[],[refute_0_651:[bind(X_73,$fot(complement(X_85)))]]) ).
cnf(refute_0_653,plain,
X_85 = complement(complement(X_85)),
inference(subst,[],[refute_0_458:[bind(X1,$fot(X_85))]]) ).
cnf(refute_0_654,plain,
( X_85 != complement(complement(X_85))
| complement(complement(X_85)) = X_85 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(X_85)),bind(Y,$fot(complement(complement(X_85))))]]) ).
cnf(refute_0_655,plain,
complement(complement(X_85)) = X_85,
inference(resolve,[$cnf( $equal(X_85,complement(complement(X_85))) )],[refute_0_653,refute_0_654]) ).
cnf(refute_0_656,plain,
( complement(X_85) != meet(complement(X_85),converse(complement(converse(complement(complement(X_85))))))
| complement(complement(X_85)) != X_85
| complement(X_85) = meet(complement(X_85),converse(complement(converse(X_85)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(X_85),meet(complement(X_85),converse(complement(converse(complement(complement(X_85))))))) ),[1,1,0,0,0],$fot(X_85)]]) ).
cnf(refute_0_657,plain,
( complement(X_85) != meet(complement(X_85),converse(complement(converse(complement(complement(X_85))))))
| complement(X_85) = meet(complement(X_85),converse(complement(converse(X_85)))) ),
inference(resolve,[$cnf( $equal(complement(complement(X_85)),X_85) )],[refute_0_655,refute_0_656]) ).
cnf(refute_0_658,plain,
complement(X_85) = meet(complement(X_85),converse(complement(converse(X_85)))),
inference(resolve,[$cnf( $equal(complement(X_85),meet(complement(X_85),converse(complement(converse(complement(complement(X_85))))))) )],[refute_0_652,refute_0_657]) ).
cnf(refute_0_659,plain,
( complement(X_85) != meet(complement(X_85),converse(complement(converse(X_85))))
| meet(complement(X_85),converse(complement(converse(X_85)))) = complement(X_85) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(complement(X_85))),bind(Y,$fot(meet(complement(X_85),converse(complement(converse(X_85))))))]]) ).
cnf(refute_0_660,plain,
meet(complement(X_85),converse(complement(converse(X_85)))) = complement(X_85),
inference(resolve,[$cnf( $equal(complement(X_85),meet(complement(X_85),converse(complement(converse(X_85))))) )],[refute_0_658,refute_0_659]) ).
cnf(refute_0_661,plain,
( join(converse(converse(complement(converse(X_85)))),complement(converse(meet(complement(X_85),converse(complement(converse(X_85))))))) != top
| meet(complement(X_85),converse(complement(converse(X_85)))) != complement(X_85)
| join(converse(converse(complement(converse(X_85)))),complement(converse(complement(X_85)))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(converse(complement(converse(X_85)))),complement(converse(meet(complement(X_85),converse(complement(converse(X_85))))))),top) ),[0,1,0,0],$fot(complement(X_85))]]) ).
cnf(refute_0_662,plain,
( join(converse(converse(complement(converse(X_85)))),complement(converse(meet(complement(X_85),converse(complement(converse(X_85))))))) != top
| join(converse(converse(complement(converse(X_85)))),complement(converse(complement(X_85)))) = top ),
inference(resolve,[$cnf( $equal(meet(complement(X_85),converse(complement(converse(X_85)))),complement(X_85)) )],[refute_0_660,refute_0_661]) ).
cnf(refute_0_663,plain,
join(converse(converse(complement(converse(X_85)))),complement(converse(complement(X_85)))) = top,
inference(resolve,[$cnf( $equal(join(converse(converse(complement(converse(X_85)))),complement(converse(meet(complement(X_85),converse(complement(converse(X_85))))))),top) )],[refute_0_626,refute_0_662]) ).
cnf(refute_0_664,plain,
join(complement(X0),complement(X1)) = join(meet(join(complement(X0),complement(X1)),X_74),complement(join(complement(join(complement(X0),complement(X1))),X_74))),
inference(subst,[],[refute_0_77:[bind(X0,$fot(join(complement(X0),complement(X1)))),bind(X1,$fot(X_74))]]) ).
cnf(refute_0_665,plain,
( complement(join(complement(X0),complement(X1))) != meet(X0,X1)
| join(complement(X0),complement(X1)) != join(meet(join(complement(X0),complement(X1)),X_74),complement(join(complement(join(complement(X0),complement(X1))),X_74)))
| join(complement(X0),complement(X1)) = join(meet(join(complement(X0),complement(X1)),X_74),complement(join(meet(X0,X1),X_74))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X0),complement(X1)),join(meet(join(complement(X0),complement(X1)),X_74),complement(join(complement(join(complement(X0),complement(X1))),X_74)))) ),[1,1,0,0],$fot(meet(X0,X1))]]) ).
cnf(refute_0_666,plain,
( join(complement(X0),complement(X1)) != join(meet(join(complement(X0),complement(X1)),X_74),complement(join(complement(join(complement(X0),complement(X1))),X_74)))
| join(complement(X0),complement(X1)) = join(meet(join(complement(X0),complement(X1)),X_74),complement(join(meet(X0,X1),X_74))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X0),complement(X1))),meet(X0,X1)) )],[refute_0_65,refute_0_665]) ).
cnf(refute_0_667,plain,
join(complement(X0),complement(X1)) = join(meet(join(complement(X0),complement(X1)),X_74),complement(join(meet(X0,X1),X_74))),
inference(resolve,[$cnf( $equal(join(complement(X0),complement(X1)),join(meet(join(complement(X0),complement(X1)),X_74),complement(join(complement(join(complement(X0),complement(X1))),X_74)))) )],[refute_0_664,refute_0_666]) ).
cnf(refute_0_668,plain,
meet(join(complement(X0),complement(X1)),X_74) = complement(join(meet(X0,X1),complement(X_74))),
inference(subst,[],[refute_0_116:[bind(X1,$fot(X_74)),bind(X_13,$fot(X0)),bind(X_14,$fot(X1))]]) ).
cnf(refute_0_669,plain,
join(complement(join(meet(X0,X1),X_74)),meet(join(complement(X0),complement(X1)),X_74)) = join(complement(join(meet(X0,X1),X_74)),meet(join(complement(X0),complement(X1)),X_74)),
introduced(tautology,[refl,[$fot(join(complement(join(meet(X0,X1),X_74)),meet(join(complement(X0),complement(X1)),X_74)))]]) ).
cnf(refute_0_670,plain,
( join(complement(join(meet(X0,X1),X_74)),meet(join(complement(X0),complement(X1)),X_74)) != join(complement(join(meet(X0,X1),X_74)),meet(join(complement(X0),complement(X1)),X_74))
| meet(join(complement(X0),complement(X1)),X_74) != complement(join(meet(X0,X1),complement(X_74)))
| join(complement(join(meet(X0,X1),X_74)),meet(join(complement(X0),complement(X1)),X_74)) = join(complement(join(meet(X0,X1),X_74)),complement(join(meet(X0,X1),complement(X_74)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(join(meet(X0,X1),X_74)),meet(join(complement(X0),complement(X1)),X_74)),join(complement(join(meet(X0,X1),X_74)),meet(join(complement(X0),complement(X1)),X_74))) ),[1,1],$fot(complement(join(meet(X0,X1),complement(X_74))))]]) ).
cnf(refute_0_671,plain,
( meet(join(complement(X0),complement(X1)),X_74) != complement(join(meet(X0,X1),complement(X_74)))
| join(complement(join(meet(X0,X1),X_74)),meet(join(complement(X0),complement(X1)),X_74)) = join(complement(join(meet(X0,X1),X_74)),complement(join(meet(X0,X1),complement(X_74)))) ),
inference(resolve,[$cnf( $equal(join(complement(join(meet(X0,X1),X_74)),meet(join(complement(X0),complement(X1)),X_74)),join(complement(join(meet(X0,X1),X_74)),meet(join(complement(X0),complement(X1)),X_74))) )],[refute_0_669,refute_0_670]) ).
cnf(refute_0_672,plain,
join(complement(join(meet(X0,X1),X_74)),meet(join(complement(X0),complement(X1)),X_74)) = join(complement(join(meet(X0,X1),X_74)),complement(join(meet(X0,X1),complement(X_74)))),
inference(resolve,[$cnf( $equal(meet(join(complement(X0),complement(X1)),X_74),complement(join(meet(X0,X1),complement(X_74)))) )],[refute_0_668,refute_0_671]) ).
cnf(refute_0_673,plain,
join(meet(join(complement(X0),complement(X1)),X_74),complement(join(meet(X0,X1),X_74))) = join(complement(join(meet(X0,X1),X_74)),meet(join(complement(X0),complement(X1)),X_74)),
inference(subst,[],[refute_0_6:[bind(X0,$fot(complement(join(meet(X0,X1),X_74)))),bind(X1,$fot(meet(join(complement(X0),complement(X1)),X_74)))]]) ).
cnf(refute_0_674,plain,
( join(complement(join(meet(X0,X1),X_74)),meet(join(complement(X0),complement(X1)),X_74)) != join(complement(join(meet(X0,X1),X_74)),complement(join(meet(X0,X1),complement(X_74))))
| join(meet(join(complement(X0),complement(X1)),X_74),complement(join(meet(X0,X1),X_74))) != join(complement(join(meet(X0,X1),X_74)),meet(join(complement(X0),complement(X1)),X_74))
| join(meet(join(complement(X0),complement(X1)),X_74),complement(join(meet(X0,X1),X_74))) = join(complement(join(meet(X0,X1),X_74)),complement(join(meet(X0,X1),complement(X_74)))) ),
inference(subst,[],[refute_0_71:[bind(X,$fot(join(meet(join(complement(X0),complement(X1)),X_74),complement(join(meet(X0,X1),X_74))))),bind(Y,$fot(join(complement(join(meet(X0,X1),X_74)),meet(join(complement(X0),complement(X1)),X_74)))),bind(Z,$fot(join(complement(join(meet(X0,X1),X_74)),complement(join(meet(X0,X1),complement(X_74))))))]]) ).
cnf(refute_0_675,plain,
( join(complement(join(meet(X0,X1),X_74)),meet(join(complement(X0),complement(X1)),X_74)) != join(complement(join(meet(X0,X1),X_74)),complement(join(meet(X0,X1),complement(X_74))))
| join(meet(join(complement(X0),complement(X1)),X_74),complement(join(meet(X0,X1),X_74))) = join(complement(join(meet(X0,X1),X_74)),complement(join(meet(X0,X1),complement(X_74)))) ),
inference(resolve,[$cnf( $equal(join(meet(join(complement(X0),complement(X1)),X_74),complement(join(meet(X0,X1),X_74))),join(complement(join(meet(X0,X1),X_74)),meet(join(complement(X0),complement(X1)),X_74))) )],[refute_0_673,refute_0_674]) ).
cnf(refute_0_676,plain,
join(meet(join(complement(X0),complement(X1)),X_74),complement(join(meet(X0,X1),X_74))) = join(complement(join(meet(X0,X1),X_74)),complement(join(meet(X0,X1),complement(X_74)))),
inference(resolve,[$cnf( $equal(join(complement(join(meet(X0,X1),X_74)),meet(join(complement(X0),complement(X1)),X_74)),join(complement(join(meet(X0,X1),X_74)),complement(join(meet(X0,X1),complement(X_74))))) )],[refute_0_672,refute_0_675]) ).
cnf(refute_0_677,plain,
( join(complement(X0),complement(X1)) != join(meet(join(complement(X0),complement(X1)),X_74),complement(join(meet(X0,X1),X_74)))
| join(meet(join(complement(X0),complement(X1)),X_74),complement(join(meet(X0,X1),X_74))) != join(complement(join(meet(X0,X1),X_74)),complement(join(meet(X0,X1),complement(X_74))))
| join(complement(X0),complement(X1)) = join(complement(join(meet(X0,X1),X_74)),complement(join(meet(X0,X1),complement(X_74)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(complement(X0),complement(X1)),join(complement(join(meet(X0,X1),X_74)),complement(join(meet(X0,X1),complement(X_74))))) ),[0],$fot(join(meet(join(complement(X0),complement(X1)),X_74),complement(join(meet(X0,X1),X_74))))]]) ).
cnf(refute_0_678,plain,
( join(complement(X0),complement(X1)) != join(meet(join(complement(X0),complement(X1)),X_74),complement(join(meet(X0,X1),X_74)))
| join(complement(X0),complement(X1)) = join(complement(join(meet(X0,X1),X_74)),complement(join(meet(X0,X1),complement(X_74)))) ),
inference(resolve,[$cnf( $equal(join(meet(join(complement(X0),complement(X1)),X_74),complement(join(meet(X0,X1),X_74))),join(complement(join(meet(X0,X1),X_74)),complement(join(meet(X0,X1),complement(X_74))))) )],[refute_0_676,refute_0_677]) ).
cnf(refute_0_679,plain,
join(complement(X0),complement(X1)) = join(complement(join(meet(X0,X1),X_74)),complement(join(meet(X0,X1),complement(X_74)))),
inference(resolve,[$cnf( $equal(join(complement(X0),complement(X1)),join(meet(join(complement(X0),complement(X1)),X_74),complement(join(meet(X0,X1),X_74)))) )],[refute_0_667,refute_0_678]) ).
cnf(refute_0_680,plain,
meet(join(zero,complement(X_16)),X1) = complement(join(complement(join(zero,complement(X_16))),complement(X1))),
inference(subst,[],[refute_0_63:[bind(X0,$fot(join(zero,complement(X_16))))]]) ).
cnf(refute_0_681,plain,
( complement(join(zero,complement(X_16))) != meet(top,X_16)
| meet(join(zero,complement(X_16)),X1) != complement(join(complement(join(zero,complement(X_16))),complement(X1)))
| meet(join(zero,complement(X_16)),X1) = complement(join(meet(top,X_16),complement(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(zero,complement(X_16)),X1),complement(join(complement(join(zero,complement(X_16))),complement(X1)))) ),[1,0,0],$fot(meet(top,X_16))]]) ).
cnf(refute_0_682,plain,
( meet(join(zero,complement(X_16)),X1) != complement(join(complement(join(zero,complement(X_16))),complement(X1)))
| meet(join(zero,complement(X_16)),X1) = complement(join(meet(top,X_16),complement(X1))) ),
inference(resolve,[$cnf( $equal(complement(join(zero,complement(X_16))),meet(top,X_16)) )],[refute_0_131,refute_0_681]) ).
cnf(refute_0_683,plain,
meet(join(zero,complement(X_16)),X1) = complement(join(meet(top,X_16),complement(X1))),
inference(resolve,[$cnf( $equal(meet(join(zero,complement(X_16)),X1),complement(join(complement(join(zero,complement(X_16))),complement(X1)))) )],[refute_0_680,refute_0_682]) ).
cnf(refute_0_684,plain,
meet(join(zero,complement(X_16)),X1) = meet(join(zero,complement(X_16)),X1),
introduced(tautology,[refl,[$fot(meet(join(zero,complement(X_16)),X1))]]) ).
cnf(refute_0_685,plain,
( join(zero,complement(X_16)) != complement(X_16)
| meet(join(zero,complement(X_16)),X1) != meet(join(zero,complement(X_16)),X1)
| meet(join(zero,complement(X_16)),X1) = meet(complement(X_16),X1) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(zero,complement(X_16)),X1),meet(join(zero,complement(X_16)),X1)) ),[1,0],$fot(complement(X_16))]]) ).
cnf(refute_0_686,plain,
( join(zero,complement(X_16)) != complement(X_16)
| meet(join(zero,complement(X_16)),X1) = meet(complement(X_16),X1) ),
inference(resolve,[$cnf( $equal(meet(join(zero,complement(X_16)),X1),meet(join(zero,complement(X_16)),X1)) )],[refute_0_684,refute_0_685]) ).
cnf(refute_0_687,plain,
meet(join(zero,complement(X_16)),X1) = meet(complement(X_16),X1),
inference(resolve,[$cnf( $equal(join(zero,complement(X_16)),complement(X_16)) )],[refute_0_397,refute_0_686]) ).
cnf(refute_0_688,plain,
( meet(join(zero,complement(X_16)),X1) != complement(join(meet(top,X_16),complement(X1)))
| meet(join(zero,complement(X_16)),X1) != meet(complement(X_16),X1)
| meet(complement(X_16),X1) = complement(join(meet(top,X_16),complement(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(zero,complement(X_16)),X1),complement(join(meet(top,X_16),complement(X1)))) ),[0],$fot(meet(complement(X_16),X1))]]) ).
cnf(refute_0_689,plain,
( meet(join(zero,complement(X_16)),X1) != complement(join(meet(top,X_16),complement(X1)))
| meet(complement(X_16),X1) = complement(join(meet(top,X_16),complement(X1))) ),
inference(resolve,[$cnf( $equal(meet(join(zero,complement(X_16)),X1),meet(complement(X_16),X1)) )],[refute_0_687,refute_0_688]) ).
cnf(refute_0_690,plain,
join(meet(top,X_16),complement(X1)) = join(meet(top,X_16),complement(X1)),
introduced(tautology,[refl,[$fot(join(meet(top,X_16),complement(X1)))]]) ).
cnf(refute_0_691,plain,
( join(meet(top,X_16),complement(X1)) != join(meet(top,X_16),complement(X1))
| meet(top,X_16) != X_16
| join(meet(top,X_16),complement(X1)) = join(X_16,complement(X1)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(top,X_16),complement(X1)),join(meet(top,X_16),complement(X1))) ),[1,0],$fot(X_16)]]) ).
cnf(refute_0_692,plain,
( meet(top,X_16) != X_16
| join(meet(top,X_16),complement(X1)) = join(X_16,complement(X1)) ),
inference(resolve,[$cnf( $equal(join(meet(top,X_16),complement(X1)),join(meet(top,X_16),complement(X1))) )],[refute_0_690,refute_0_691]) ).
cnf(refute_0_693,plain,
join(meet(top,X_16),complement(X1)) = join(X_16,complement(X1)),
inference(resolve,[$cnf( $equal(meet(top,X_16),X_16) )],[refute_0_416,refute_0_692]) ).
cnf(refute_0_694,plain,
complement(join(meet(top,X_16),complement(X1))) = complement(join(meet(top,X_16),complement(X1))),
introduced(tautology,[refl,[$fot(complement(join(meet(top,X_16),complement(X1))))]]) ).
cnf(refute_0_695,plain,
( complement(join(meet(top,X_16),complement(X1))) != complement(join(meet(top,X_16),complement(X1)))
| join(meet(top,X_16),complement(X1)) != join(X_16,complement(X1))
| complement(join(meet(top,X_16),complement(X1))) = complement(join(X_16,complement(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(meet(top,X_16),complement(X1))),complement(join(meet(top,X_16),complement(X1)))) ),[1,0],$fot(join(X_16,complement(X1)))]]) ).
cnf(refute_0_696,plain,
( join(meet(top,X_16),complement(X1)) != join(X_16,complement(X1))
| complement(join(meet(top,X_16),complement(X1))) = complement(join(X_16,complement(X1))) ),
inference(resolve,[$cnf( $equal(complement(join(meet(top,X_16),complement(X1))),complement(join(meet(top,X_16),complement(X1)))) )],[refute_0_694,refute_0_695]) ).
cnf(refute_0_697,plain,
complement(join(meet(top,X_16),complement(X1))) = complement(join(X_16,complement(X1))),
inference(resolve,[$cnf( $equal(join(meet(top,X_16),complement(X1)),join(X_16,complement(X1))) )],[refute_0_693,refute_0_696]) ).
cnf(refute_0_698,plain,
( complement(join(meet(top,X_16),complement(X1))) != complement(join(X_16,complement(X1)))
| meet(complement(X_16),X1) != complement(join(meet(top,X_16),complement(X1)))
| meet(complement(X_16),X1) = complement(join(X_16,complement(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(X_16),X1),complement(join(meet(top,X_16),complement(X1)))) ),[1],$fot(complement(join(X_16,complement(X1))))]]) ).
cnf(refute_0_699,plain,
( meet(complement(X_16),X1) != complement(join(meet(top,X_16),complement(X1)))
| meet(complement(X_16),X1) = complement(join(X_16,complement(X1))) ),
inference(resolve,[$cnf( $equal(complement(join(meet(top,X_16),complement(X1))),complement(join(X_16,complement(X1)))) )],[refute_0_697,refute_0_698]) ).
cnf(refute_0_700,plain,
( meet(join(zero,complement(X_16)),X1) != complement(join(meet(top,X_16),complement(X1)))
| meet(complement(X_16),X1) = complement(join(X_16,complement(X1))) ),
inference(resolve,[$cnf( $equal(meet(complement(X_16),X1),complement(join(meet(top,X_16),complement(X1)))) )],[refute_0_689,refute_0_699]) ).
cnf(refute_0_701,plain,
meet(complement(X_16),X1) = complement(join(X_16,complement(X1))),
inference(resolve,[$cnf( $equal(meet(join(zero,complement(X_16)),X1),complement(join(meet(top,X_16),complement(X1)))) )],[refute_0_683,refute_0_700]) ).
cnf(refute_0_702,plain,
( meet(complement(X_16),X1) != complement(join(X_16,complement(X1)))
| complement(join(X_16,complement(X1))) = meet(complement(X_16),X1) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(meet(complement(X_16),X1))),bind(Y,$fot(complement(join(X_16,complement(X1)))))]]) ).
cnf(refute_0_703,plain,
complement(join(X_16,complement(X1))) = meet(complement(X_16),X1),
inference(resolve,[$cnf( $equal(meet(complement(X_16),X1),complement(join(X_16,complement(X1)))) )],[refute_0_701,refute_0_702]) ).
cnf(refute_0_704,plain,
complement(join(meet(X0,X1),complement(X_74))) = meet(complement(meet(X0,X1)),X_74),
inference(subst,[],[refute_0_703:[bind(X1,$fot(X_74)),bind(X_16,$fot(meet(X0,X1)))]]) ).
cnf(refute_0_705,plain,
join(complement(join(meet(X0,X1),X_74)),complement(join(meet(X0,X1),complement(X_74)))) = join(complement(join(meet(X0,X1),X_74)),complement(join(meet(X0,X1),complement(X_74)))),
introduced(tautology,[refl,[$fot(join(complement(join(meet(X0,X1),X_74)),complement(join(meet(X0,X1),complement(X_74)))))]]) ).
cnf(refute_0_706,plain,
( complement(join(meet(X0,X1),complement(X_74))) != meet(complement(meet(X0,X1)),X_74)
| join(complement(join(meet(X0,X1),X_74)),complement(join(meet(X0,X1),complement(X_74)))) != join(complement(join(meet(X0,X1),X_74)),complement(join(meet(X0,X1),complement(X_74))))
| join(complement(join(meet(X0,X1),X_74)),complement(join(meet(X0,X1),complement(X_74)))) = join(complement(join(meet(X0,X1),X_74)),meet(complement(meet(X0,X1)),X_74)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(join(meet(X0,X1),X_74)),complement(join(meet(X0,X1),complement(X_74)))),join(complement(join(meet(X0,X1),X_74)),complement(join(meet(X0,X1),complement(X_74))))) ),[1,1],$fot(meet(complement(meet(X0,X1)),X_74))]]) ).
cnf(refute_0_707,plain,
( complement(join(meet(X0,X1),complement(X_74))) != meet(complement(meet(X0,X1)),X_74)
| join(complement(join(meet(X0,X1),X_74)),complement(join(meet(X0,X1),complement(X_74)))) = join(complement(join(meet(X0,X1),X_74)),meet(complement(meet(X0,X1)),X_74)) ),
inference(resolve,[$cnf( $equal(join(complement(join(meet(X0,X1),X_74)),complement(join(meet(X0,X1),complement(X_74)))),join(complement(join(meet(X0,X1),X_74)),complement(join(meet(X0,X1),complement(X_74))))) )],[refute_0_705,refute_0_706]) ).
cnf(refute_0_708,plain,
join(complement(join(meet(X0,X1),X_74)),complement(join(meet(X0,X1),complement(X_74)))) = join(complement(join(meet(X0,X1),X_74)),meet(complement(meet(X0,X1)),X_74)),
inference(resolve,[$cnf( $equal(complement(join(meet(X0,X1),complement(X_74))),meet(complement(meet(X0,X1)),X_74)) )],[refute_0_704,refute_0_707]) ).
cnf(refute_0_709,plain,
( join(complement(X0),complement(X1)) != join(complement(join(meet(X0,X1),X_74)),complement(join(meet(X0,X1),complement(X_74))))
| join(complement(join(meet(X0,X1),X_74)),complement(join(meet(X0,X1),complement(X_74)))) != join(complement(join(meet(X0,X1),X_74)),meet(complement(meet(X0,X1)),X_74))
| join(complement(X0),complement(X1)) = join(complement(join(meet(X0,X1),X_74)),meet(complement(meet(X0,X1)),X_74)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(complement(X0),complement(X1)),join(complement(join(meet(X0,X1),X_74)),meet(complement(meet(X0,X1)),X_74))) ),[0],$fot(join(complement(join(meet(X0,X1),X_74)),complement(join(meet(X0,X1),complement(X_74)))))]]) ).
cnf(refute_0_710,plain,
( join(complement(X0),complement(X1)) != join(complement(join(meet(X0,X1),X_74)),complement(join(meet(X0,X1),complement(X_74))))
| join(complement(X0),complement(X1)) = join(complement(join(meet(X0,X1),X_74)),meet(complement(meet(X0,X1)),X_74)) ),
inference(resolve,[$cnf( $equal(join(complement(join(meet(X0,X1),X_74)),complement(join(meet(X0,X1),complement(X_74)))),join(complement(join(meet(X0,X1),X_74)),meet(complement(meet(X0,X1)),X_74))) )],[refute_0_708,refute_0_709]) ).
cnf(refute_0_711,plain,
join(complement(X0),complement(X1)) = join(complement(join(meet(X0,X1),X_74)),meet(complement(meet(X0,X1)),X_74)),
inference(resolve,[$cnf( $equal(join(complement(X0),complement(X1)),join(complement(join(meet(X0,X1),X_74)),complement(join(meet(X0,X1),complement(X_74))))) )],[refute_0_679,refute_0_710]) ).
cnf(refute_0_712,plain,
join(zero,complement(X1)) = join(meet(join(zero,complement(X1)),X_74),complement(join(complement(join(zero,complement(X1))),X_74))),
inference(subst,[],[refute_0_77:[bind(X0,$fot(join(zero,complement(X1)))),bind(X1,$fot(X_74))]]) ).
cnf(refute_0_713,plain,
( meet(top,X1) != complement(join(zero,complement(X1)))
| complement(join(zero,complement(X1))) = meet(top,X1) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(meet(top,X1))),bind(Y,$fot(complement(join(zero,complement(X1)))))]]) ).
cnf(refute_0_714,plain,
complement(join(zero,complement(X1))) = meet(top,X1),
inference(resolve,[$cnf( $equal(meet(top,X1),complement(join(zero,complement(X1)))) )],[refute_0_128,refute_0_713]) ).
cnf(refute_0_715,plain,
( complement(join(zero,complement(X1))) != meet(top,X1)
| join(zero,complement(X1)) != join(meet(join(zero,complement(X1)),X_74),complement(join(complement(join(zero,complement(X1))),X_74)))
| join(zero,complement(X1)) = join(meet(join(zero,complement(X1)),X_74),complement(join(meet(top,X1),X_74))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,complement(X1)),join(meet(join(zero,complement(X1)),X_74),complement(join(complement(join(zero,complement(X1))),X_74)))) ),[1,1,0,0],$fot(meet(top,X1))]]) ).
cnf(refute_0_716,plain,
( join(zero,complement(X1)) != join(meet(join(zero,complement(X1)),X_74),complement(join(complement(join(zero,complement(X1))),X_74)))
| join(zero,complement(X1)) = join(meet(join(zero,complement(X1)),X_74),complement(join(meet(top,X1),X_74))) ),
inference(resolve,[$cnf( $equal(complement(join(zero,complement(X1))),meet(top,X1)) )],[refute_0_714,refute_0_715]) ).
cnf(refute_0_717,plain,
join(zero,complement(X1)) = join(meet(join(zero,complement(X1)),X_74),complement(join(meet(top,X1),X_74))),
inference(resolve,[$cnf( $equal(join(zero,complement(X1)),join(meet(join(zero,complement(X1)),X_74),complement(join(complement(join(zero,complement(X1))),X_74)))) )],[refute_0_712,refute_0_716]) ).
cnf(refute_0_718,plain,
join(meet(join(zero,complement(X1)),X_74),complement(join(meet(top,X1),X_74))) = join(complement(join(meet(top,X1),X_74)),meet(join(zero,complement(X1)),X_74)),
inference(subst,[],[refute_0_6:[bind(X0,$fot(complement(join(meet(top,X1),X_74)))),bind(X1,$fot(meet(join(zero,complement(X1)),X_74)))]]) ).
cnf(refute_0_719,plain,
( join(meet(join(zero,complement(X1)),X_74),complement(join(meet(top,X1),X_74))) != join(complement(join(meet(top,X1),X_74)),meet(join(zero,complement(X1)),X_74))
| join(zero,complement(X1)) != join(meet(join(zero,complement(X1)),X_74),complement(join(meet(top,X1),X_74)))
| join(zero,complement(X1)) = join(complement(join(meet(top,X1),X_74)),meet(join(zero,complement(X1)),X_74)) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,complement(X1)),join(meet(join(zero,complement(X1)),X_74),complement(join(meet(top,X1),X_74)))) ),[1],$fot(join(complement(join(meet(top,X1),X_74)),meet(join(zero,complement(X1)),X_74)))]]) ).
cnf(refute_0_720,plain,
( join(zero,complement(X1)) != join(meet(join(zero,complement(X1)),X_74),complement(join(meet(top,X1),X_74)))
| join(zero,complement(X1)) = join(complement(join(meet(top,X1),X_74)),meet(join(zero,complement(X1)),X_74)) ),
inference(resolve,[$cnf( $equal(join(meet(join(zero,complement(X1)),X_74),complement(join(meet(top,X1),X_74))),join(complement(join(meet(top,X1),X_74)),meet(join(zero,complement(X1)),X_74))) )],[refute_0_718,refute_0_719]) ).
cnf(refute_0_721,plain,
join(zero,complement(X1)) = join(complement(join(meet(top,X1),X_74)),meet(join(zero,complement(X1)),X_74)),
inference(resolve,[$cnf( $equal(join(zero,complement(X1)),join(meet(join(zero,complement(X1)),X_74),complement(join(meet(top,X1),X_74)))) )],[refute_0_717,refute_0_720]) ).
cnf(refute_0_722,plain,
( join(zero,complement(X1)) != complement(X1)
| join(zero,complement(X1)) != join(complement(join(meet(top,X1),X_74)),meet(join(zero,complement(X1)),X_74))
| complement(X1) = join(complement(join(meet(top,X1),X_74)),meet(join(zero,complement(X1)),X_74)) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,complement(X1)),join(complement(join(meet(top,X1),X_74)),meet(join(zero,complement(X1)),X_74))) ),[0],$fot(complement(X1))]]) ).
cnf(refute_0_723,plain,
( join(zero,complement(X1)) != join(complement(join(meet(top,X1),X_74)),meet(join(zero,complement(X1)),X_74))
| complement(X1) = join(complement(join(meet(top,X1),X_74)),meet(join(zero,complement(X1)),X_74)) ),
inference(resolve,[$cnf( $equal(join(zero,complement(X1)),complement(X1)) )],[refute_0_450,refute_0_722]) ).
cnf(refute_0_724,plain,
meet(join(zero,complement(X1)),X_74) = meet(join(zero,complement(X1)),X_74),
introduced(tautology,[refl,[$fot(meet(join(zero,complement(X1)),X_74))]]) ).
cnf(refute_0_725,plain,
( join(zero,complement(X1)) != complement(X1)
| meet(join(zero,complement(X1)),X_74) != meet(join(zero,complement(X1)),X_74)
| meet(join(zero,complement(X1)),X_74) = meet(complement(X1),X_74) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(zero,complement(X1)),X_74),meet(join(zero,complement(X1)),X_74)) ),[1,0],$fot(complement(X1))]]) ).
cnf(refute_0_726,plain,
( join(zero,complement(X1)) != complement(X1)
| meet(join(zero,complement(X1)),X_74) = meet(complement(X1),X_74) ),
inference(resolve,[$cnf( $equal(meet(join(zero,complement(X1)),X_74),meet(join(zero,complement(X1)),X_74)) )],[refute_0_724,refute_0_725]) ).
cnf(refute_0_727,plain,
meet(join(zero,complement(X1)),X_74) = meet(complement(X1),X_74),
inference(resolve,[$cnf( $equal(join(zero,complement(X1)),complement(X1)) )],[refute_0_450,refute_0_726]) ).
cnf(refute_0_728,plain,
join(complement(join(X1,X_74)),meet(join(zero,complement(X1)),X_74)) = join(complement(join(X1,X_74)),meet(join(zero,complement(X1)),X_74)),
introduced(tautology,[refl,[$fot(join(complement(join(X1,X_74)),meet(join(zero,complement(X1)),X_74)))]]) ).
cnf(refute_0_729,plain,
( join(complement(join(X1,X_74)),meet(join(zero,complement(X1)),X_74)) != join(complement(join(X1,X_74)),meet(join(zero,complement(X1)),X_74))
| meet(join(zero,complement(X1)),X_74) != meet(complement(X1),X_74)
| join(complement(join(X1,X_74)),meet(join(zero,complement(X1)),X_74)) = join(complement(join(X1,X_74)),meet(complement(X1),X_74)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(join(X1,X_74)),meet(join(zero,complement(X1)),X_74)),join(complement(join(X1,X_74)),meet(join(zero,complement(X1)),X_74))) ),[1,1],$fot(meet(complement(X1),X_74))]]) ).
cnf(refute_0_730,plain,
( meet(join(zero,complement(X1)),X_74) != meet(complement(X1),X_74)
| join(complement(join(X1,X_74)),meet(join(zero,complement(X1)),X_74)) = join(complement(join(X1,X_74)),meet(complement(X1),X_74)) ),
inference(resolve,[$cnf( $equal(join(complement(join(X1,X_74)),meet(join(zero,complement(X1)),X_74)),join(complement(join(X1,X_74)),meet(join(zero,complement(X1)),X_74))) )],[refute_0_728,refute_0_729]) ).
cnf(refute_0_731,plain,
join(complement(join(X1,X_74)),meet(join(zero,complement(X1)),X_74)) = join(complement(join(X1,X_74)),meet(complement(X1),X_74)),
inference(resolve,[$cnf( $equal(meet(join(zero,complement(X1)),X_74),meet(complement(X1),X_74)) )],[refute_0_727,refute_0_730]) ).
cnf(refute_0_732,plain,
join(meet(top,X1),X_74) = join(meet(top,X1),X_74),
introduced(tautology,[refl,[$fot(join(meet(top,X1),X_74))]]) ).
cnf(refute_0_733,plain,
( join(meet(top,X1),X_74) != join(meet(top,X1),X_74)
| meet(top,X1) != X1
| join(meet(top,X1),X_74) = join(X1,X_74) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(top,X1),X_74),join(meet(top,X1),X_74)) ),[1,0],$fot(X1)]]) ).
cnf(refute_0_734,plain,
( meet(top,X1) != X1
| join(meet(top,X1),X_74) = join(X1,X_74) ),
inference(resolve,[$cnf( $equal(join(meet(top,X1),X_74),join(meet(top,X1),X_74)) )],[refute_0_732,refute_0_733]) ).
cnf(refute_0_735,plain,
join(meet(top,X1),X_74) = join(X1,X_74),
inference(resolve,[$cnf( $equal(meet(top,X1),X1) )],[refute_0_447,refute_0_734]) ).
cnf(refute_0_736,plain,
complement(join(meet(top,X1),X_74)) = complement(join(meet(top,X1),X_74)),
introduced(tautology,[refl,[$fot(complement(join(meet(top,X1),X_74)))]]) ).
cnf(refute_0_737,plain,
( complement(join(meet(top,X1),X_74)) != complement(join(meet(top,X1),X_74))
| join(meet(top,X1),X_74) != join(X1,X_74)
| complement(join(meet(top,X1),X_74)) = complement(join(X1,X_74)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(meet(top,X1),X_74)),complement(join(meet(top,X1),X_74))) ),[1,0],$fot(join(X1,X_74))]]) ).
cnf(refute_0_738,plain,
( join(meet(top,X1),X_74) != join(X1,X_74)
| complement(join(meet(top,X1),X_74)) = complement(join(X1,X_74)) ),
inference(resolve,[$cnf( $equal(complement(join(meet(top,X1),X_74)),complement(join(meet(top,X1),X_74))) )],[refute_0_736,refute_0_737]) ).
cnf(refute_0_739,plain,
complement(join(meet(top,X1),X_74)) = complement(join(X1,X_74)),
inference(resolve,[$cnf( $equal(join(meet(top,X1),X_74),join(X1,X_74)) )],[refute_0_735,refute_0_738]) ).
cnf(refute_0_740,plain,
join(complement(join(meet(top,X1),X_74)),meet(join(zero,complement(X1)),X_74)) = join(complement(join(meet(top,X1),X_74)),meet(join(zero,complement(X1)),X_74)),
introduced(tautology,[refl,[$fot(join(complement(join(meet(top,X1),X_74)),meet(join(zero,complement(X1)),X_74)))]]) ).
cnf(refute_0_741,plain,
( complement(join(meet(top,X1),X_74)) != complement(join(X1,X_74))
| join(complement(join(meet(top,X1),X_74)),meet(join(zero,complement(X1)),X_74)) != join(complement(join(meet(top,X1),X_74)),meet(join(zero,complement(X1)),X_74))
| join(complement(join(meet(top,X1),X_74)),meet(join(zero,complement(X1)),X_74)) = join(complement(join(X1,X_74)),meet(join(zero,complement(X1)),X_74)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(join(meet(top,X1),X_74)),meet(join(zero,complement(X1)),X_74)),join(complement(join(meet(top,X1),X_74)),meet(join(zero,complement(X1)),X_74))) ),[1,0],$fot(complement(join(X1,X_74)))]]) ).
cnf(refute_0_742,plain,
( complement(join(meet(top,X1),X_74)) != complement(join(X1,X_74))
| join(complement(join(meet(top,X1),X_74)),meet(join(zero,complement(X1)),X_74)) = join(complement(join(X1,X_74)),meet(join(zero,complement(X1)),X_74)) ),
inference(resolve,[$cnf( $equal(join(complement(join(meet(top,X1),X_74)),meet(join(zero,complement(X1)),X_74)),join(complement(join(meet(top,X1),X_74)),meet(join(zero,complement(X1)),X_74))) )],[refute_0_740,refute_0_741]) ).
cnf(refute_0_743,plain,
join(complement(join(meet(top,X1),X_74)),meet(join(zero,complement(X1)),X_74)) = join(complement(join(X1,X_74)),meet(join(zero,complement(X1)),X_74)),
inference(resolve,[$cnf( $equal(complement(join(meet(top,X1),X_74)),complement(join(X1,X_74))) )],[refute_0_739,refute_0_742]) ).
cnf(refute_0_744,plain,
( join(complement(join(X1,X_74)),meet(join(zero,complement(X1)),X_74)) != join(complement(join(X1,X_74)),meet(complement(X1),X_74))
| join(complement(join(meet(top,X1),X_74)),meet(join(zero,complement(X1)),X_74)) != join(complement(join(X1,X_74)),meet(join(zero,complement(X1)),X_74))
| join(complement(join(meet(top,X1),X_74)),meet(join(zero,complement(X1)),X_74)) = join(complement(join(X1,X_74)),meet(complement(X1),X_74)) ),
inference(subst,[],[refute_0_71:[bind(X,$fot(join(complement(join(meet(top,X1),X_74)),meet(join(zero,complement(X1)),X_74)))),bind(Y,$fot(join(complement(join(X1,X_74)),meet(join(zero,complement(X1)),X_74)))),bind(Z,$fot(join(complement(join(X1,X_74)),meet(complement(X1),X_74))))]]) ).
cnf(refute_0_745,plain,
( join(complement(join(X1,X_74)),meet(join(zero,complement(X1)),X_74)) != join(complement(join(X1,X_74)),meet(complement(X1),X_74))
| join(complement(join(meet(top,X1),X_74)),meet(join(zero,complement(X1)),X_74)) = join(complement(join(X1,X_74)),meet(complement(X1),X_74)) ),
inference(resolve,[$cnf( $equal(join(complement(join(meet(top,X1),X_74)),meet(join(zero,complement(X1)),X_74)),join(complement(join(X1,X_74)),meet(join(zero,complement(X1)),X_74))) )],[refute_0_743,refute_0_744]) ).
cnf(refute_0_746,plain,
join(complement(join(meet(top,X1),X_74)),meet(join(zero,complement(X1)),X_74)) = join(complement(join(X1,X_74)),meet(complement(X1),X_74)),
inference(resolve,[$cnf( $equal(join(complement(join(X1,X_74)),meet(join(zero,complement(X1)),X_74)),join(complement(join(X1,X_74)),meet(complement(X1),X_74))) )],[refute_0_731,refute_0_745]) ).
cnf(refute_0_747,plain,
( complement(X1) != join(complement(join(meet(top,X1),X_74)),meet(join(zero,complement(X1)),X_74))
| join(complement(join(meet(top,X1),X_74)),meet(join(zero,complement(X1)),X_74)) != join(complement(join(X1,X_74)),meet(complement(X1),X_74))
| complement(X1) = join(complement(join(X1,X_74)),meet(complement(X1),X_74)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(X1),join(complement(join(X1,X_74)),meet(complement(X1),X_74))) ),[0],$fot(join(complement(join(meet(top,X1),X_74)),meet(join(zero,complement(X1)),X_74)))]]) ).
cnf(refute_0_748,plain,
( complement(X1) != join(complement(join(meet(top,X1),X_74)),meet(join(zero,complement(X1)),X_74))
| complement(X1) = join(complement(join(X1,X_74)),meet(complement(X1),X_74)) ),
inference(resolve,[$cnf( $equal(join(complement(join(meet(top,X1),X_74)),meet(join(zero,complement(X1)),X_74)),join(complement(join(X1,X_74)),meet(complement(X1),X_74))) )],[refute_0_746,refute_0_747]) ).
cnf(refute_0_749,plain,
( join(zero,complement(X1)) != join(complement(join(meet(top,X1),X_74)),meet(join(zero,complement(X1)),X_74))
| complement(X1) = join(complement(join(X1,X_74)),meet(complement(X1),X_74)) ),
inference(resolve,[$cnf( $equal(complement(X1),join(complement(join(meet(top,X1),X_74)),meet(join(zero,complement(X1)),X_74))) )],[refute_0_723,refute_0_748]) ).
cnf(refute_0_750,plain,
complement(X1) = join(complement(join(X1,X_74)),meet(complement(X1),X_74)),
inference(resolve,[$cnf( $equal(join(zero,complement(X1)),join(complement(join(meet(top,X1),X_74)),meet(join(zero,complement(X1)),X_74))) )],[refute_0_721,refute_0_749]) ).
cnf(refute_0_751,plain,
( complement(X1) != join(complement(join(X1,X_74)),meet(complement(X1),X_74))
| join(complement(join(X1,X_74)),meet(complement(X1),X_74)) = complement(X1) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(complement(X1))),bind(Y,$fot(join(complement(join(X1,X_74)),meet(complement(X1),X_74))))]]) ).
cnf(refute_0_752,plain,
join(complement(join(X1,X_74)),meet(complement(X1),X_74)) = complement(X1),
inference(resolve,[$cnf( $equal(complement(X1),join(complement(join(X1,X_74)),meet(complement(X1),X_74))) )],[refute_0_750,refute_0_751]) ).
cnf(refute_0_753,plain,
join(complement(join(meet(X0,X1),X_74)),meet(complement(meet(X0,X1)),X_74)) = complement(meet(X0,X1)),
inference(subst,[],[refute_0_752:[bind(X1,$fot(meet(X0,X1)))]]) ).
cnf(refute_0_754,plain,
( join(complement(X0),complement(X1)) != join(complement(join(meet(X0,X1),X_74)),meet(complement(meet(X0,X1)),X_74))
| join(complement(join(meet(X0,X1),X_74)),meet(complement(meet(X0,X1)),X_74)) != complement(meet(X0,X1))
| join(complement(X0),complement(X1)) = complement(meet(X0,X1)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(complement(X0),complement(X1)),complement(meet(X0,X1))) ),[0],$fot(join(complement(join(meet(X0,X1),X_74)),meet(complement(meet(X0,X1)),X_74)))]]) ).
cnf(refute_0_755,plain,
( join(complement(X0),complement(X1)) != join(complement(join(meet(X0,X1),X_74)),meet(complement(meet(X0,X1)),X_74))
| join(complement(X0),complement(X1)) = complement(meet(X0,X1)) ),
inference(resolve,[$cnf( $equal(join(complement(join(meet(X0,X1),X_74)),meet(complement(meet(X0,X1)),X_74)),complement(meet(X0,X1))) )],[refute_0_753,refute_0_754]) ).
cnf(refute_0_756,plain,
join(complement(X0),complement(X1)) = complement(meet(X0,X1)),
inference(resolve,[$cnf( $equal(join(complement(X0),complement(X1)),join(complement(join(meet(X0,X1),X_74)),meet(complement(meet(X0,X1)),X_74))) )],[refute_0_711,refute_0_755]) ).
cnf(refute_0_757,plain,
join(complement(converse(X_85)),complement(converse(complement(X_85)))) = complement(meet(converse(X_85),converse(complement(X_85)))),
inference(subst,[],[refute_0_756:[bind(X0,$fot(converse(X_85))),bind(X1,$fot(converse(complement(X_85))))]]) ).
cnf(refute_0_758,plain,
join(X_128,join(X_129,meet(X_129,composition(join(one,one),complement(composition(join(one,one),X_129)))))) = join(X_129,join(X_128,meet(X_129,composition(join(one,one),complement(composition(join(one,one),X_129)))))),
inference(subst,[],[refute_0_546:[bind(X_44,$fot(X_128)),bind(X_45,$fot(X_129)),bind(X_46,$fot(meet(X_129,composition(join(one,one),complement(composition(join(one,one),X_129))))))]]) ).
cnf(refute_0_759,plain,
X_73 = join(meet(X_73,composition(join(one,one),complement(composition(join(one,one),X_73)))),complement(join(complement(X_73),composition(join(one,one),complement(composition(join(one,one),X_73)))))),
inference(subst,[],[refute_0_77:[bind(X0,$fot(X_73)),bind(X1,$fot(composition(join(one,one),complement(composition(join(one,one),X_73)))))]]) ).
cnf(refute_0_760,plain,
join(complement(X_51),composition(converse(join(one,one)),complement(composition(join(one,one),X_51)))) = complement(X_51),
inference(subst,[],[refute_0_27:[bind(X0,$fot(join(one,one))),bind(X1,$fot(X_51))]]) ).
cnf(refute_0_761,plain,
converse(join(converse(one),X_5)) = join(one,converse(X_5)),
inference(subst,[],[refute_0_218:[bind(X0,$fot(one))]]) ).
cnf(refute_0_762,plain,
( converse(join(converse(one),X_5)) != join(one,converse(X_5))
| converse(one) != one
| converse(join(one,X_5)) = join(one,converse(X_5)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(one),X_5)),join(one,converse(X_5))) ),[0,0,0],$fot(one)]]) ).
cnf(refute_0_763,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( $equal(converse(one),one) )],[refute_0_160,refute_0_762]) ).
cnf(refute_0_764,plain,
converse(join(one,X_5)) = join(one,converse(X_5)),
inference(resolve,[$cnf( $equal(converse(join(converse(one),X_5)),join(one,converse(X_5))) )],[refute_0_761,refute_0_763]) ).
cnf(refute_0_765,plain,
converse(join(one,one)) = join(one,converse(one)),
inference(subst,[],[refute_0_764:[bind(X_5,$fot(one))]]) ).
cnf(refute_0_766,plain,
( converse(join(one,one)) != join(one,converse(one))
| converse(one) != one
| converse(join(one,one)) = join(one,one) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,one)),join(one,converse(one))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_767,plain,
( converse(join(one,one)) != join(one,converse(one))
| converse(join(one,one)) = join(one,one) ),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_160,refute_0_766]) ).
cnf(refute_0_768,plain,
converse(join(one,one)) = join(one,one),
inference(resolve,[$cnf( $equal(converse(join(one,one)),join(one,converse(one))) )],[refute_0_765,refute_0_767]) ).
cnf(refute_0_769,plain,
( converse(join(one,one)) != join(one,one)
| join(complement(X_51),composition(converse(join(one,one)),complement(composition(join(one,one),X_51)))) != complement(X_51)
| join(complement(X_51),composition(join(one,one),complement(composition(join(one,one),X_51)))) = complement(X_51) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_51),composition(converse(join(one,one)),complement(composition(join(one,one),X_51)))),complement(X_51)) ),[0,1,0],$fot(join(one,one))]]) ).
cnf(refute_0_770,plain,
( join(complement(X_51),composition(converse(join(one,one)),complement(composition(join(one,one),X_51)))) != complement(X_51)
| join(complement(X_51),composition(join(one,one),complement(composition(join(one,one),X_51)))) = complement(X_51) ),
inference(resolve,[$cnf( $equal(converse(join(one,one)),join(one,one)) )],[refute_0_768,refute_0_769]) ).
cnf(refute_0_771,plain,
join(complement(X_51),composition(join(one,one),complement(composition(join(one,one),X_51)))) = complement(X_51),
inference(resolve,[$cnf( $equal(join(complement(X_51),composition(converse(join(one,one)),complement(composition(join(one,one),X_51)))),complement(X_51)) )],[refute_0_760,refute_0_770]) ).
cnf(refute_0_772,plain,
join(complement(X_73),composition(join(one,one),complement(composition(join(one,one),X_73)))) = complement(X_73),
inference(subst,[],[refute_0_771:[bind(X_51,$fot(X_73))]]) ).
cnf(refute_0_773,plain,
( X_73 != join(meet(X_73,composition(join(one,one),complement(composition(join(one,one),X_73)))),complement(join(complement(X_73),composition(join(one,one),complement(composition(join(one,one),X_73))))))
| join(complement(X_73),composition(join(one,one),complement(composition(join(one,one),X_73)))) != complement(X_73)
| X_73 = join(meet(X_73,composition(join(one,one),complement(composition(join(one,one),X_73)))),complement(complement(X_73))) ),
introduced(tautology,[equality,[$cnf( $equal(X_73,join(meet(X_73,composition(join(one,one),complement(composition(join(one,one),X_73)))),complement(join(complement(X_73),composition(join(one,one),complement(composition(join(one,one),X_73))))))) ),[1,1,0],$fot(complement(X_73))]]) ).
cnf(refute_0_774,plain,
( X_73 != join(meet(X_73,composition(join(one,one),complement(composition(join(one,one),X_73)))),complement(join(complement(X_73),composition(join(one,one),complement(composition(join(one,one),X_73))))))
| X_73 = join(meet(X_73,composition(join(one,one),complement(composition(join(one,one),X_73)))),complement(complement(X_73))) ),
inference(resolve,[$cnf( $equal(join(complement(X_73),composition(join(one,one),complement(composition(join(one,one),X_73)))),complement(X_73)) )],[refute_0_772,refute_0_773]) ).
cnf(refute_0_775,plain,
X_73 = join(meet(X_73,composition(join(one,one),complement(composition(join(one,one),X_73)))),complement(complement(X_73))),
inference(resolve,[$cnf( $equal(X_73,join(meet(X_73,composition(join(one,one),complement(composition(join(one,one),X_73)))),complement(join(complement(X_73),composition(join(one,one),complement(composition(join(one,one),X_73))))))) )],[refute_0_759,refute_0_774]) ).
cnf(refute_0_776,plain,
join(meet(X_73,composition(join(one,one),complement(composition(join(one,one),X_73)))),complement(complement(X_73))) = join(complement(complement(X_73)),meet(X_73,composition(join(one,one),complement(composition(join(one,one),X_73))))),
inference(subst,[],[refute_0_6:[bind(X0,$fot(complement(complement(X_73)))),bind(X1,$fot(meet(X_73,composition(join(one,one),complement(composition(join(one,one),X_73))))))]]) ).
cnf(refute_0_777,plain,
( X_73 != join(meet(X_73,composition(join(one,one),complement(composition(join(one,one),X_73)))),complement(complement(X_73)))
| join(meet(X_73,composition(join(one,one),complement(composition(join(one,one),X_73)))),complement(complement(X_73))) != join(complement(complement(X_73)),meet(X_73,composition(join(one,one),complement(composition(join(one,one),X_73)))))
| X_73 = join(complement(complement(X_73)),meet(X_73,composition(join(one,one),complement(composition(join(one,one),X_73))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_73,join(complement(complement(X_73)),meet(X_73,composition(join(one,one),complement(composition(join(one,one),X_73)))))) ),[0],$fot(join(meet(X_73,composition(join(one,one),complement(composition(join(one,one),X_73)))),complement(complement(X_73))))]]) ).
cnf(refute_0_778,plain,
( X_73 != join(meet(X_73,composition(join(one,one),complement(composition(join(one,one),X_73)))),complement(complement(X_73)))
| X_73 = join(complement(complement(X_73)),meet(X_73,composition(join(one,one),complement(composition(join(one,one),X_73))))) ),
inference(resolve,[$cnf( $equal(join(meet(X_73,composition(join(one,one),complement(composition(join(one,one),X_73)))),complement(complement(X_73))),join(complement(complement(X_73)),meet(X_73,composition(join(one,one),complement(composition(join(one,one),X_73)))))) )],[refute_0_776,refute_0_777]) ).
cnf(refute_0_779,plain,
X_73 = join(complement(complement(X_73)),meet(X_73,composition(join(one,one),complement(composition(join(one,one),X_73))))),
inference(resolve,[$cnf( $equal(X_73,join(meet(X_73,composition(join(one,one),complement(composition(join(one,one),X_73)))),complement(complement(X_73)))) )],[refute_0_775,refute_0_778]) ).
cnf(refute_0_780,plain,
( X1 != complement(complement(X1))
| complement(complement(X1)) = X1 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(X1)),bind(Y,$fot(complement(complement(X1))))]]) ).
cnf(refute_0_781,plain,
complement(complement(X1)) = X1,
inference(resolve,[$cnf( $equal(X1,complement(complement(X1))) )],[refute_0_458,refute_0_780]) ).
cnf(refute_0_782,plain,
complement(complement(X_73)) = X_73,
inference(subst,[],[refute_0_781:[bind(X1,$fot(X_73))]]) ).
cnf(refute_0_783,plain,
join(complement(complement(X_73)),meet(X_73,composition(join(one,one),complement(composition(join(one,one),X_73))))) = join(complement(complement(X_73)),meet(X_73,composition(join(one,one),complement(composition(join(one,one),X_73))))),
introduced(tautology,[refl,[$fot(join(complement(complement(X_73)),meet(X_73,composition(join(one,one),complement(composition(join(one,one),X_73))))))]]) ).
cnf(refute_0_784,plain,
( complement(complement(X_73)) != X_73
| join(complement(complement(X_73)),meet(X_73,composition(join(one,one),complement(composition(join(one,one),X_73))))) != join(complement(complement(X_73)),meet(X_73,composition(join(one,one),complement(composition(join(one,one),X_73)))))
| join(complement(complement(X_73)),meet(X_73,composition(join(one,one),complement(composition(join(one,one),X_73))))) = join(X_73,meet(X_73,composition(join(one,one),complement(composition(join(one,one),X_73))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(X_73)),meet(X_73,composition(join(one,one),complement(composition(join(one,one),X_73))))),join(complement(complement(X_73)),meet(X_73,composition(join(one,one),complement(composition(join(one,one),X_73)))))) ),[1,0],$fot(X_73)]]) ).
cnf(refute_0_785,plain,
( complement(complement(X_73)) != X_73
| join(complement(complement(X_73)),meet(X_73,composition(join(one,one),complement(composition(join(one,one),X_73))))) = join(X_73,meet(X_73,composition(join(one,one),complement(composition(join(one,one),X_73))))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(X_73)),meet(X_73,composition(join(one,one),complement(composition(join(one,one),X_73))))),join(complement(complement(X_73)),meet(X_73,composition(join(one,one),complement(composition(join(one,one),X_73)))))) )],[refute_0_783,refute_0_784]) ).
cnf(refute_0_786,plain,
join(complement(complement(X_73)),meet(X_73,composition(join(one,one),complement(composition(join(one,one),X_73))))) = join(X_73,meet(X_73,composition(join(one,one),complement(composition(join(one,one),X_73))))),
inference(resolve,[$cnf( $equal(complement(complement(X_73)),X_73) )],[refute_0_782,refute_0_785]) ).
cnf(refute_0_787,plain,
( X_73 != join(complement(complement(X_73)),meet(X_73,composition(join(one,one),complement(composition(join(one,one),X_73)))))
| join(complement(complement(X_73)),meet(X_73,composition(join(one,one),complement(composition(join(one,one),X_73))))) != join(X_73,meet(X_73,composition(join(one,one),complement(composition(join(one,one),X_73)))))
| X_73 = join(X_73,meet(X_73,composition(join(one,one),complement(composition(join(one,one),X_73))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_73,join(X_73,meet(X_73,composition(join(one,one),complement(composition(join(one,one),X_73)))))) ),[0],$fot(join(complement(complement(X_73)),meet(X_73,composition(join(one,one),complement(composition(join(one,one),X_73))))))]]) ).
cnf(refute_0_788,plain,
( X_73 != join(complement(complement(X_73)),meet(X_73,composition(join(one,one),complement(composition(join(one,one),X_73)))))
| X_73 = join(X_73,meet(X_73,composition(join(one,one),complement(composition(join(one,one),X_73))))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(X_73)),meet(X_73,composition(join(one,one),complement(composition(join(one,one),X_73))))),join(X_73,meet(X_73,composition(join(one,one),complement(composition(join(one,one),X_73)))))) )],[refute_0_786,refute_0_787]) ).
cnf(refute_0_789,plain,
X_73 = join(X_73,meet(X_73,composition(join(one,one),complement(composition(join(one,one),X_73))))),
inference(resolve,[$cnf( $equal(X_73,join(complement(complement(X_73)),meet(X_73,composition(join(one,one),complement(composition(join(one,one),X_73)))))) )],[refute_0_779,refute_0_788]) ).
cnf(refute_0_790,plain,
X_129 = join(X_129,meet(X_129,composition(join(one,one),complement(composition(join(one,one),X_129))))),
inference(subst,[],[refute_0_789:[bind(X_73,$fot(X_129))]]) ).
cnf(refute_0_791,plain,
( X_129 != join(X_129,meet(X_129,composition(join(one,one),complement(composition(join(one,one),X_129)))))
| join(X_129,meet(X_129,composition(join(one,one),complement(composition(join(one,one),X_129))))) = X_129 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(X_129)),bind(Y,$fot(join(X_129,meet(X_129,composition(join(one,one),complement(composition(join(one,one),X_129)))))))]]) ).
cnf(refute_0_792,plain,
join(X_129,meet(X_129,composition(join(one,one),complement(composition(join(one,one),X_129))))) = X_129,
inference(resolve,[$cnf( $equal(X_129,join(X_129,meet(X_129,composition(join(one,one),complement(composition(join(one,one),X_129)))))) )],[refute_0_790,refute_0_791]) ).
cnf(refute_0_793,plain,
( join(X_128,join(X_129,meet(X_129,composition(join(one,one),complement(composition(join(one,one),X_129)))))) != join(X_129,join(X_128,meet(X_129,composition(join(one,one),complement(composition(join(one,one),X_129))))))
| join(X_129,meet(X_129,composition(join(one,one),complement(composition(join(one,one),X_129))))) != X_129
| join(X_128,X_129) = join(X_129,join(X_128,meet(X_129,composition(join(one,one),complement(composition(join(one,one),X_129)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_128,join(X_129,meet(X_129,composition(join(one,one),complement(composition(join(one,one),X_129)))))),join(X_129,join(X_128,meet(X_129,composition(join(one,one),complement(composition(join(one,one),X_129))))))) ),[0,1],$fot(X_129)]]) ).
cnf(refute_0_794,plain,
( join(X_128,join(X_129,meet(X_129,composition(join(one,one),complement(composition(join(one,one),X_129)))))) != join(X_129,join(X_128,meet(X_129,composition(join(one,one),complement(composition(join(one,one),X_129))))))
| join(X_128,X_129) = join(X_129,join(X_128,meet(X_129,composition(join(one,one),complement(composition(join(one,one),X_129)))))) ),
inference(resolve,[$cnf( $equal(join(X_129,meet(X_129,composition(join(one,one),complement(composition(join(one,one),X_129))))),X_129) )],[refute_0_792,refute_0_793]) ).
cnf(refute_0_795,plain,
join(X_128,X_129) = join(X_129,join(X_128,meet(X_129,composition(join(one,one),complement(composition(join(one,one),X_129)))))),
inference(resolve,[$cnf( $equal(join(X_128,join(X_129,meet(X_129,composition(join(one,one),complement(composition(join(one,one),X_129)))))),join(X_129,join(X_128,meet(X_129,composition(join(one,one),complement(composition(join(one,one),X_129))))))) )],[refute_0_758,refute_0_794]) ).
cnf(refute_0_796,plain,
join(join(zero,X_56),zero) = join(zero,join(zero,X_56)),
inference(subst,[],[refute_0_1:[bind(X0,$fot(join(zero,X_56))),bind(X1,$fot(zero))]]) ).
cnf(refute_0_797,plain,
join(zero,join(zero,X_56)) = join(zero,X_56),
inference(subst,[],[refute_0_211:[bind(X2,$fot(X_56))]]) ).
cnf(refute_0_798,plain,
( join(join(zero,X_56),zero) != join(zero,join(zero,X_56))
| join(zero,join(zero,X_56)) != join(zero,X_56)
| join(join(zero,X_56),zero) = join(zero,X_56) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(join(zero,X_56),zero),join(zero,X_56)) ),[0],$fot(join(zero,join(zero,X_56)))]]) ).
cnf(refute_0_799,plain,
( join(join(zero,X_56),zero) != join(zero,join(zero,X_56))
| join(join(zero,X_56),zero) = join(zero,X_56) ),
inference(resolve,[$cnf( $equal(join(zero,join(zero,X_56)),join(zero,X_56)) )],[refute_0_797,refute_0_798]) ).
cnf(refute_0_800,plain,
join(join(zero,X_56),zero) = join(zero,X_56),
inference(resolve,[$cnf( $equal(join(join(zero,X_56),zero),join(zero,join(zero,X_56))) )],[refute_0_796,refute_0_799]) ).
cnf(refute_0_801,plain,
join(join(zero,X_56),zero) = join(zero,join(X_56,zero)),
inference(subst,[],[refute_0_241:[bind(X0,$fot(zero)),bind(X1,$fot(X_56)),bind(X2,$fot(zero))]]) ).
cnf(refute_0_802,plain,
( join(join(zero,X_56),zero) != join(zero,X_56)
| join(join(zero,X_56),zero) != join(zero,join(X_56,zero))
| join(zero,join(X_56,zero)) = join(zero,X_56) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(zero,X_56),zero),join(zero,X_56)) ),[0],$fot(join(zero,join(X_56,zero)))]]) ).
cnf(refute_0_803,plain,
( join(join(zero,X_56),zero) != join(zero,X_56)
| join(zero,join(X_56,zero)) = join(zero,X_56) ),
inference(resolve,[$cnf( $equal(join(join(zero,X_56),zero),join(zero,join(X_56,zero))) )],[refute_0_801,refute_0_802]) ).
cnf(refute_0_804,plain,
join(zero,join(X_56,zero)) = join(zero,X_56),
inference(resolve,[$cnf( $equal(join(join(zero,X_56),zero),join(zero,X_56)) )],[refute_0_800,refute_0_803]) ).
cnf(refute_0_805,plain,
join(zero,join(meet(X_75,top),zero)) = join(zero,meet(X_75,top)),
inference(subst,[],[refute_0_804:[bind(X_56,$fot(meet(X_75,top)))]]) ).
cnf(refute_0_806,plain,
( join(zero,join(meet(X_75,top),zero)) != join(zero,meet(X_75,top))
| join(zero,meet(X_75,top)) != X_75
| join(zero,join(meet(X_75,top),zero)) = X_75 ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(zero,join(meet(X_75,top),zero)),X_75) ),[0],$fot(join(zero,meet(X_75,top)))]]) ).
cnf(refute_0_807,plain,
( join(zero,join(meet(X_75,top),zero)) != join(zero,meet(X_75,top))
| join(zero,join(meet(X_75,top),zero)) = X_75 ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_75,top)),X_75) )],[refute_0_390,refute_0_806]) ).
cnf(refute_0_808,plain,
join(zero,join(meet(X_75,top),zero)) = X_75,
inference(resolve,[$cnf( $equal(join(zero,join(meet(X_75,top),zero)),join(zero,meet(X_75,top))) )],[refute_0_805,refute_0_807]) ).
cnf(refute_0_809,plain,
join(zero,join(meet(X_75,top),X2)) = join(join(zero,meet(X_75,top)),X2),
inference(subst,[],[refute_0_135:[bind(X0,$fot(zero)),bind(X1,$fot(meet(X_75,top)))]]) ).
cnf(refute_0_810,plain,
( join(zero,join(meet(X_75,top),X2)) != join(join(zero,meet(X_75,top)),X2)
| join(zero,meet(X_75,top)) != X_75
| join(zero,join(meet(X_75,top),X2)) = join(X_75,X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,join(meet(X_75,top),X2)),join(join(zero,meet(X_75,top)),X2)) ),[1,0],$fot(X_75)]]) ).
cnf(refute_0_811,plain,
( join(zero,join(meet(X_75,top),X2)) != join(join(zero,meet(X_75,top)),X2)
| join(zero,join(meet(X_75,top),X2)) = join(X_75,X2) ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_75,top)),X_75) )],[refute_0_390,refute_0_810]) ).
cnf(refute_0_812,plain,
join(zero,join(meet(X_75,top),X2)) = join(X_75,X2),
inference(resolve,[$cnf( $equal(join(zero,join(meet(X_75,top),X2)),join(join(zero,meet(X_75,top)),X2)) )],[refute_0_809,refute_0_811]) ).
cnf(refute_0_813,plain,
join(zero,join(meet(X_75,top),zero)) = join(X_75,zero),
inference(subst,[],[refute_0_812:[bind(X2,$fot(zero))]]) ).
cnf(refute_0_814,plain,
( join(zero,join(meet(X_75,top),zero)) != X_75
| join(zero,join(meet(X_75,top),zero)) != join(X_75,zero)
| join(X_75,zero) = X_75 ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,join(meet(X_75,top),zero)),X_75) ),[0],$fot(join(X_75,zero))]]) ).
cnf(refute_0_815,plain,
( join(zero,join(meet(X_75,top),zero)) != X_75
| join(X_75,zero) = X_75 ),
inference(resolve,[$cnf( $equal(join(zero,join(meet(X_75,top),zero)),join(X_75,zero)) )],[refute_0_813,refute_0_814]) ).
cnf(refute_0_816,plain,
join(X_75,zero) = X_75,
inference(resolve,[$cnf( $equal(join(zero,join(meet(X_75,top),zero)),X_75) )],[refute_0_808,refute_0_815]) ).
cnf(refute_0_817,plain,
join(X_128,zero) = X_128,
inference(subst,[],[refute_0_816:[bind(X_75,$fot(X_128))]]) ).
cnf(refute_0_818,plain,
( zero != meet(X0,complement(X0))
| meet(X0,complement(X0)) = zero ),
inference(subst,[],[refute_0_4:[bind(X,$fot(zero)),bind(Y,$fot(meet(X0,complement(X0))))]]) ).
cnf(refute_0_819,plain,
meet(X0,complement(X0)) = zero,
inference(resolve,[$cnf( $equal(zero,meet(X0,complement(X0))) )],[refute_0_98,refute_0_818]) ).
cnf(refute_0_820,plain,
meet(X_129,complement(X_129)) = zero,
inference(subst,[],[refute_0_819:[bind(X0,$fot(X_129))]]) ).
cnf(refute_0_821,plain,
composition(one,complement(X_129)) = complement(X_129),
inference(subst,[],[refute_0_175:[bind(X_19,$fot(complement(X_129)))]]) ).
cnf(refute_0_822,plain,
composition(one,X_129) = X_129,
inference(subst,[],[refute_0_175:[bind(X_19,$fot(X_129))]]) ).
cnf(refute_0_823,plain,
X_73 = join(meet(X_73,complement(X1)),complement(join(complement(X_73),complement(X1)))),
inference(subst,[],[refute_0_77:[bind(X0,$fot(X_73)),bind(X1,$fot(complement(X1)))]]) ).
cnf(refute_0_824,plain,
meet(X_73,X1) = complement(join(complement(X_73),complement(X1))),
inference(subst,[],[refute_0_63:[bind(X0,$fot(X_73))]]) ).
cnf(refute_0_825,plain,
( meet(X_73,X1) != complement(join(complement(X_73),complement(X1)))
| complement(join(complement(X_73),complement(X1))) = meet(X_73,X1) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(meet(X_73,X1))),bind(Y,$fot(complement(join(complement(X_73),complement(X1)))))]]) ).
cnf(refute_0_826,plain,
complement(join(complement(X_73),complement(X1))) = meet(X_73,X1),
inference(resolve,[$cnf( $equal(meet(X_73,X1),complement(join(complement(X_73),complement(X1)))) )],[refute_0_824,refute_0_825]) ).
cnf(refute_0_827,plain,
( X_73 != join(meet(X_73,complement(X1)),complement(join(complement(X_73),complement(X1))))
| complement(join(complement(X_73),complement(X1))) != meet(X_73,X1)
| X_73 = join(meet(X_73,complement(X1)),meet(X_73,X1)) ),
introduced(tautology,[equality,[$cnf( $equal(X_73,join(meet(X_73,complement(X1)),complement(join(complement(X_73),complement(X1))))) ),[1,1],$fot(meet(X_73,X1))]]) ).
cnf(refute_0_828,plain,
( X_73 != join(meet(X_73,complement(X1)),complement(join(complement(X_73),complement(X1))))
| X_73 = join(meet(X_73,complement(X1)),meet(X_73,X1)) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_73),complement(X1))),meet(X_73,X1)) )],[refute_0_826,refute_0_827]) ).
cnf(refute_0_829,plain,
X_73 = join(meet(X_73,complement(X1)),meet(X_73,X1)),
inference(resolve,[$cnf( $equal(X_73,join(meet(X_73,complement(X1)),complement(join(complement(X_73),complement(X1))))) )],[refute_0_823,refute_0_828]) ).
cnf(refute_0_830,plain,
join(meet(X_73,complement(X1)),meet(X_73,X1)) = join(meet(X_73,X1),meet(X_73,complement(X1))),
inference(subst,[],[refute_0_6:[bind(X0,$fot(meet(X_73,X1))),bind(X1,$fot(meet(X_73,complement(X1))))]]) ).
cnf(refute_0_831,plain,
( X_73 != join(meet(X_73,complement(X1)),meet(X_73,X1))
| join(meet(X_73,complement(X1)),meet(X_73,X1)) != join(meet(X_73,X1),meet(X_73,complement(X1)))
| X_73 = join(meet(X_73,X1),meet(X_73,complement(X1))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_73,join(meet(X_73,X1),meet(X_73,complement(X1)))) ),[0],$fot(join(meet(X_73,complement(X1)),meet(X_73,X1)))]]) ).
cnf(refute_0_832,plain,
( X_73 != join(meet(X_73,complement(X1)),meet(X_73,X1))
| X_73 = join(meet(X_73,X1),meet(X_73,complement(X1))) ),
inference(resolve,[$cnf( $equal(join(meet(X_73,complement(X1)),meet(X_73,X1)),join(meet(X_73,X1),meet(X_73,complement(X1)))) )],[refute_0_830,refute_0_831]) ).
cnf(refute_0_833,plain,
X_73 = join(meet(X_73,X1),meet(X_73,complement(X1))),
inference(resolve,[$cnf( $equal(X_73,join(meet(X_73,complement(X1)),meet(X_73,X1))) )],[refute_0_829,refute_0_832]) ).
cnf(refute_0_834,plain,
X_73 = join(meet(X_73,join(complement(X_94),meet(X_73,X_94))),meet(X_73,complement(join(complement(X_94),meet(X_73,X_94))))),
inference(subst,[],[refute_0_833:[bind(X1,$fot(join(complement(X_94),meet(X_73,X_94))))]]) ).
cnf(refute_0_835,plain,
X_73 = join(meet(X_73,join(complement(X_14),meet(X_73,X_14))),complement(join(complement(X_73),join(complement(X_14),meet(X_73,X_14))))),
inference(subst,[],[refute_0_77:[bind(X0,$fot(X_73)),bind(X1,$fot(join(complement(X_14),meet(X_73,X_14))))]]) ).
cnf(refute_0_836,plain,
top = join(join(complement(X_13),complement(X_14)),complement(join(complement(X_13),complement(X_14)))),
inference(subst,[],[refute_0_105:[bind(X0,$fot(join(complement(X_13),complement(X_14))))]]) ).
cnf(refute_0_837,plain,
( complement(join(complement(X_13),complement(X_14))) != meet(X_13,X_14)
| top != join(join(complement(X_13),complement(X_14)),complement(join(complement(X_13),complement(X_14))))
| top = join(join(complement(X_13),complement(X_14)),meet(X_13,X_14)) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(join(complement(X_13),complement(X_14)),complement(join(complement(X_13),complement(X_14))))) ),[1,1],$fot(meet(X_13,X_14))]]) ).
cnf(refute_0_838,plain,
( top != join(join(complement(X_13),complement(X_14)),complement(join(complement(X_13),complement(X_14))))
| top = join(join(complement(X_13),complement(X_14)),meet(X_13,X_14)) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_13),complement(X_14))),meet(X_13,X_14)) )],[refute_0_101,refute_0_837]) ).
cnf(refute_0_839,plain,
top = join(join(complement(X_13),complement(X_14)),meet(X_13,X_14)),
inference(resolve,[$cnf( $equal(top,join(join(complement(X_13),complement(X_14)),complement(join(complement(X_13),complement(X_14))))) )],[refute_0_836,refute_0_838]) ).
cnf(refute_0_840,plain,
join(join(complement(X_13),complement(X_14)),meet(X_13,X_14)) = join(complement(X_13),join(complement(X_14),meet(X_13,X_14))),
inference(subst,[],[refute_0_241:[bind(X0,$fot(complement(X_13))),bind(X1,$fot(complement(X_14))),bind(X2,$fot(meet(X_13,X_14)))]]) ).
cnf(refute_0_841,plain,
( join(join(complement(X_13),complement(X_14)),meet(X_13,X_14)) != join(complement(X_13),join(complement(X_14),meet(X_13,X_14)))
| top != join(join(complement(X_13),complement(X_14)),meet(X_13,X_14))
| top = join(complement(X_13),join(complement(X_14),meet(X_13,X_14))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(join(complement(X_13),complement(X_14)),meet(X_13,X_14))) ),[1],$fot(join(complement(X_13),join(complement(X_14),meet(X_13,X_14))))]]) ).
cnf(refute_0_842,plain,
( top != join(join(complement(X_13),complement(X_14)),meet(X_13,X_14))
| top = join(complement(X_13),join(complement(X_14),meet(X_13,X_14))) ),
inference(resolve,[$cnf( $equal(join(join(complement(X_13),complement(X_14)),meet(X_13,X_14)),join(complement(X_13),join(complement(X_14),meet(X_13,X_14)))) )],[refute_0_840,refute_0_841]) ).
cnf(refute_0_843,plain,
top = join(complement(X_13),join(complement(X_14),meet(X_13,X_14))),
inference(resolve,[$cnf( $equal(top,join(join(complement(X_13),complement(X_14)),meet(X_13,X_14))) )],[refute_0_839,refute_0_842]) ).
cnf(refute_0_844,plain,
top = join(complement(X_73),join(complement(X_14),meet(X_73,X_14))),
inference(subst,[],[refute_0_843:[bind(X_13,$fot(X_73))]]) ).
cnf(refute_0_845,plain,
( top != join(complement(X_73),join(complement(X_14),meet(X_73,X_14)))
| join(complement(X_73),join(complement(X_14),meet(X_73,X_14))) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(join(complement(X_73),join(complement(X_14),meet(X_73,X_14)))))]]) ).
cnf(refute_0_846,plain,
join(complement(X_73),join(complement(X_14),meet(X_73,X_14))) = top,
inference(resolve,[$cnf( $equal(top,join(complement(X_73),join(complement(X_14),meet(X_73,X_14)))) )],[refute_0_844,refute_0_845]) ).
cnf(refute_0_847,plain,
( X_73 != join(meet(X_73,join(complement(X_14),meet(X_73,X_14))),complement(join(complement(X_73),join(complement(X_14),meet(X_73,X_14)))))
| join(complement(X_73),join(complement(X_14),meet(X_73,X_14))) != top
| X_73 = join(meet(X_73,join(complement(X_14),meet(X_73,X_14))),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(X_73,join(meet(X_73,join(complement(X_14),meet(X_73,X_14))),complement(join(complement(X_73),join(complement(X_14),meet(X_73,X_14)))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_0_848,plain,
( X_73 != join(meet(X_73,join(complement(X_14),meet(X_73,X_14))),complement(join(complement(X_73),join(complement(X_14),meet(X_73,X_14)))))
| X_73 = join(meet(X_73,join(complement(X_14),meet(X_73,X_14))),complement(top)) ),
inference(resolve,[$cnf( $equal(join(complement(X_73),join(complement(X_14),meet(X_73,X_14))),top) )],[refute_0_846,refute_0_847]) ).
cnf(refute_0_849,plain,
X_73 = join(meet(X_73,join(complement(X_14),meet(X_73,X_14))),complement(top)),
inference(resolve,[$cnf( $equal(X_73,join(meet(X_73,join(complement(X_14),meet(X_73,X_14))),complement(join(complement(X_73),join(complement(X_14),meet(X_73,X_14)))))) )],[refute_0_835,refute_0_848]) ).
cnf(refute_0_850,plain,
join(complement(top),meet(X_73,join(complement(X_14),meet(X_73,X_14)))) = join(complement(top),meet(X_73,join(complement(X_14),meet(X_73,X_14)))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(X_73,join(complement(X_14),meet(X_73,X_14)))))]]) ).
cnf(refute_0_851,plain,
( complement(top) != zero
| join(complement(top),meet(X_73,join(complement(X_14),meet(X_73,X_14)))) != join(complement(top),meet(X_73,join(complement(X_14),meet(X_73,X_14))))
| join(complement(top),meet(X_73,join(complement(X_14),meet(X_73,X_14)))) = join(zero,meet(X_73,join(complement(X_14),meet(X_73,X_14)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(X_73,join(complement(X_14),meet(X_73,X_14)))),join(complement(top),meet(X_73,join(complement(X_14),meet(X_73,X_14))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_852,plain,
( complement(top) != zero
| join(complement(top),meet(X_73,join(complement(X_14),meet(X_73,X_14)))) = join(zero,meet(X_73,join(complement(X_14),meet(X_73,X_14)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_73,join(complement(X_14),meet(X_73,X_14)))),join(complement(top),meet(X_73,join(complement(X_14),meet(X_73,X_14))))) )],[refute_0_850,refute_0_851]) ).
cnf(refute_0_853,plain,
join(complement(top),meet(X_73,join(complement(X_14),meet(X_73,X_14)))) = join(zero,meet(X_73,join(complement(X_14),meet(X_73,X_14)))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_125,refute_0_852]) ).
cnf(refute_0_854,plain,
join(meet(X_73,join(complement(X_14),meet(X_73,X_14))),complement(top)) = join(complement(top),meet(X_73,join(complement(X_14),meet(X_73,X_14)))),
inference(subst,[],[refute_0_6:[bind(X0,$fot(complement(top))),bind(X1,$fot(meet(X_73,join(complement(X_14),meet(X_73,X_14)))))]]) ).
cnf(refute_0_855,plain,
( join(complement(top),meet(X_73,join(complement(X_14),meet(X_73,X_14)))) != join(zero,meet(X_73,join(complement(X_14),meet(X_73,X_14))))
| join(meet(X_73,join(complement(X_14),meet(X_73,X_14))),complement(top)) != join(complement(top),meet(X_73,join(complement(X_14),meet(X_73,X_14))))
| join(meet(X_73,join(complement(X_14),meet(X_73,X_14))),complement(top)) = join(zero,meet(X_73,join(complement(X_14),meet(X_73,X_14)))) ),
inference(subst,[],[refute_0_71:[bind(X,$fot(join(meet(X_73,join(complement(X_14),meet(X_73,X_14))),complement(top)))),bind(Y,$fot(join(complement(top),meet(X_73,join(complement(X_14),meet(X_73,X_14)))))),bind(Z,$fot(join(zero,meet(X_73,join(complement(X_14),meet(X_73,X_14))))))]]) ).
cnf(refute_0_856,plain,
( join(complement(top),meet(X_73,join(complement(X_14),meet(X_73,X_14)))) != join(zero,meet(X_73,join(complement(X_14),meet(X_73,X_14))))
| join(meet(X_73,join(complement(X_14),meet(X_73,X_14))),complement(top)) = join(zero,meet(X_73,join(complement(X_14),meet(X_73,X_14)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_73,join(complement(X_14),meet(X_73,X_14))),complement(top)),join(complement(top),meet(X_73,join(complement(X_14),meet(X_73,X_14))))) )],[refute_0_854,refute_0_855]) ).
cnf(refute_0_857,plain,
join(meet(X_73,join(complement(X_14),meet(X_73,X_14))),complement(top)) = join(zero,meet(X_73,join(complement(X_14),meet(X_73,X_14)))),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_73,join(complement(X_14),meet(X_73,X_14)))),join(zero,meet(X_73,join(complement(X_14),meet(X_73,X_14))))) )],[refute_0_853,refute_0_856]) ).
cnf(refute_0_858,plain,
( X_73 != join(meet(X_73,join(complement(X_14),meet(X_73,X_14))),complement(top))
| join(meet(X_73,join(complement(X_14),meet(X_73,X_14))),complement(top)) != join(zero,meet(X_73,join(complement(X_14),meet(X_73,X_14))))
| X_73 = join(zero,meet(X_73,join(complement(X_14),meet(X_73,X_14)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_73,join(zero,meet(X_73,join(complement(X_14),meet(X_73,X_14))))) ),[0],$fot(join(meet(X_73,join(complement(X_14),meet(X_73,X_14))),complement(top)))]]) ).
cnf(refute_0_859,plain,
( X_73 != join(meet(X_73,join(complement(X_14),meet(X_73,X_14))),complement(top))
| X_73 = join(zero,meet(X_73,join(complement(X_14),meet(X_73,X_14)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_73,join(complement(X_14),meet(X_73,X_14))),complement(top)),join(zero,meet(X_73,join(complement(X_14),meet(X_73,X_14))))) )],[refute_0_857,refute_0_858]) ).
cnf(refute_0_860,plain,
X_73 = join(zero,meet(X_73,join(complement(X_14),meet(X_73,X_14)))),
inference(resolve,[$cnf( $equal(X_73,join(meet(X_73,join(complement(X_14),meet(X_73,X_14))),complement(top))) )],[refute_0_849,refute_0_859]) ).
cnf(refute_0_861,plain,
join(zero,meet(X_73,join(complement(X_14),meet(X_73,X_14)))) = meet(X_73,join(complement(X_14),meet(X_73,X_14))),
inference(subst,[],[refute_0_396:[bind(X_75,$fot(meet(X_73,join(complement(X_14),meet(X_73,X_14)))))]]) ).
cnf(refute_0_862,plain,
( X_73 != join(zero,meet(X_73,join(complement(X_14),meet(X_73,X_14))))
| join(zero,meet(X_73,join(complement(X_14),meet(X_73,X_14)))) != meet(X_73,join(complement(X_14),meet(X_73,X_14)))
| X_73 = meet(X_73,join(complement(X_14),meet(X_73,X_14))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_73,meet(X_73,join(complement(X_14),meet(X_73,X_14)))) ),[0],$fot(join(zero,meet(X_73,join(complement(X_14),meet(X_73,X_14)))))]]) ).
cnf(refute_0_863,plain,
( X_73 != join(zero,meet(X_73,join(complement(X_14),meet(X_73,X_14))))
| X_73 = meet(X_73,join(complement(X_14),meet(X_73,X_14))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_73,join(complement(X_14),meet(X_73,X_14)))),meet(X_73,join(complement(X_14),meet(X_73,X_14)))) )],[refute_0_861,refute_0_862]) ).
cnf(refute_0_864,plain,
X_73 = meet(X_73,join(complement(X_14),meet(X_73,X_14))),
inference(resolve,[$cnf( $equal(X_73,join(zero,meet(X_73,join(complement(X_14),meet(X_73,X_14))))) )],[refute_0_860,refute_0_863]) ).
cnf(refute_0_865,plain,
X_73 = meet(X_73,join(complement(X_94),meet(X_73,X_94))),
inference(subst,[],[refute_0_864:[bind(X_14,$fot(X_94))]]) ).
cnf(refute_0_866,plain,
( X_73 != meet(X_73,join(complement(X_94),meet(X_73,X_94)))
| meet(X_73,join(complement(X_94),meet(X_73,X_94))) = X_73 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(X_73)),bind(Y,$fot(meet(X_73,join(complement(X_94),meet(X_73,X_94)))))]]) ).
cnf(refute_0_867,plain,
meet(X_73,join(complement(X_94),meet(X_73,X_94))) = X_73,
inference(resolve,[$cnf( $equal(X_73,meet(X_73,join(complement(X_94),meet(X_73,X_94)))) )],[refute_0_865,refute_0_866]) ).
cnf(refute_0_868,plain,
( X_73 != join(meet(X_73,join(complement(X_94),meet(X_73,X_94))),meet(X_73,complement(join(complement(X_94),meet(X_73,X_94)))))
| meet(X_73,join(complement(X_94),meet(X_73,X_94))) != X_73
| X_73 = join(X_73,meet(X_73,complement(join(complement(X_94),meet(X_73,X_94))))) ),
introduced(tautology,[equality,[$cnf( $equal(X_73,join(meet(X_73,join(complement(X_94),meet(X_73,X_94))),meet(X_73,complement(join(complement(X_94),meet(X_73,X_94)))))) ),[1,0],$fot(X_73)]]) ).
cnf(refute_0_869,plain,
( X_73 != join(meet(X_73,join(complement(X_94),meet(X_73,X_94))),meet(X_73,complement(join(complement(X_94),meet(X_73,X_94)))))
| X_73 = join(X_73,meet(X_73,complement(join(complement(X_94),meet(X_73,X_94))))) ),
inference(resolve,[$cnf( $equal(meet(X_73,join(complement(X_94),meet(X_73,X_94))),X_73) )],[refute_0_867,refute_0_868]) ).
cnf(refute_0_870,plain,
X_73 = join(X_73,meet(X_73,complement(join(complement(X_94),meet(X_73,X_94))))),
inference(resolve,[$cnf( $equal(X_73,join(meet(X_73,join(complement(X_94),meet(X_73,X_94))),meet(X_73,complement(join(complement(X_94),meet(X_73,X_94)))))) )],[refute_0_834,refute_0_869]) ).
cnf(refute_0_871,plain,
complement(join(complement(X_94),meet(X_73,X_94))) = meet(X_94,complement(meet(X_73,X_94))),
inference(subst,[],[refute_0_430:[bind(X0,$fot(X_94)),bind(X_16,$fot(meet(X_73,X_94)))]]) ).
cnf(refute_0_872,plain,
meet(X_73,complement(join(complement(X_94),meet(X_73,X_94)))) = meet(X_73,complement(join(complement(X_94),meet(X_73,X_94)))),
introduced(tautology,[refl,[$fot(meet(X_73,complement(join(complement(X_94),meet(X_73,X_94)))))]]) ).
cnf(refute_0_873,plain,
( complement(join(complement(X_94),meet(X_73,X_94))) != meet(X_94,complement(meet(X_73,X_94)))
| meet(X_73,complement(join(complement(X_94),meet(X_73,X_94)))) != meet(X_73,complement(join(complement(X_94),meet(X_73,X_94))))
| meet(X_73,complement(join(complement(X_94),meet(X_73,X_94)))) = meet(X_73,meet(X_94,complement(meet(X_73,X_94)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_73,complement(join(complement(X_94),meet(X_73,X_94)))),meet(X_73,complement(join(complement(X_94),meet(X_73,X_94))))) ),[1,1],$fot(meet(X_94,complement(meet(X_73,X_94))))]]) ).
cnf(refute_0_874,plain,
( complement(join(complement(X_94),meet(X_73,X_94))) != meet(X_94,complement(meet(X_73,X_94)))
| meet(X_73,complement(join(complement(X_94),meet(X_73,X_94)))) = meet(X_73,meet(X_94,complement(meet(X_73,X_94)))) ),
inference(resolve,[$cnf( $equal(meet(X_73,complement(join(complement(X_94),meet(X_73,X_94)))),meet(X_73,complement(join(complement(X_94),meet(X_73,X_94))))) )],[refute_0_872,refute_0_873]) ).
cnf(refute_0_875,plain,
meet(X_73,complement(join(complement(X_94),meet(X_73,X_94)))) = meet(X_73,meet(X_94,complement(meet(X_73,X_94)))),
inference(resolve,[$cnf( $equal(complement(join(complement(X_94),meet(X_73,X_94))),meet(X_94,complement(meet(X_73,X_94)))) )],[refute_0_871,refute_0_874]) ).
cnf(refute_0_876,plain,
join(X_73,meet(X_73,complement(join(complement(X_94),meet(X_73,X_94))))) = join(X_73,meet(X_73,complement(join(complement(X_94),meet(X_73,X_94))))),
introduced(tautology,[refl,[$fot(join(X_73,meet(X_73,complement(join(complement(X_94),meet(X_73,X_94))))))]]) ).
cnf(refute_0_877,plain,
( join(X_73,meet(X_73,complement(join(complement(X_94),meet(X_73,X_94))))) != join(X_73,meet(X_73,complement(join(complement(X_94),meet(X_73,X_94)))))
| meet(X_73,complement(join(complement(X_94),meet(X_73,X_94)))) != meet(X_73,meet(X_94,complement(meet(X_73,X_94))))
| join(X_73,meet(X_73,complement(join(complement(X_94),meet(X_73,X_94))))) = join(X_73,meet(X_73,meet(X_94,complement(meet(X_73,X_94))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_73,meet(X_73,complement(join(complement(X_94),meet(X_73,X_94))))),join(X_73,meet(X_73,complement(join(complement(X_94),meet(X_73,X_94)))))) ),[1,1],$fot(meet(X_73,meet(X_94,complement(meet(X_73,X_94)))))]]) ).
cnf(refute_0_878,plain,
( meet(X_73,complement(join(complement(X_94),meet(X_73,X_94)))) != meet(X_73,meet(X_94,complement(meet(X_73,X_94))))
| join(X_73,meet(X_73,complement(join(complement(X_94),meet(X_73,X_94))))) = join(X_73,meet(X_73,meet(X_94,complement(meet(X_73,X_94))))) ),
inference(resolve,[$cnf( $equal(join(X_73,meet(X_73,complement(join(complement(X_94),meet(X_73,X_94))))),join(X_73,meet(X_73,complement(join(complement(X_94),meet(X_73,X_94)))))) )],[refute_0_876,refute_0_877]) ).
cnf(refute_0_879,plain,
join(X_73,meet(X_73,complement(join(complement(X_94),meet(X_73,X_94))))) = join(X_73,meet(X_73,meet(X_94,complement(meet(X_73,X_94))))),
inference(resolve,[$cnf( $equal(meet(X_73,complement(join(complement(X_94),meet(X_73,X_94)))),meet(X_73,meet(X_94,complement(meet(X_73,X_94))))) )],[refute_0_875,refute_0_878]) ).
cnf(refute_0_880,plain,
( X_73 != join(X_73,meet(X_73,complement(join(complement(X_94),meet(X_73,X_94)))))
| join(X_73,meet(X_73,complement(join(complement(X_94),meet(X_73,X_94))))) != join(X_73,meet(X_73,meet(X_94,complement(meet(X_73,X_94)))))
| X_73 = join(X_73,meet(X_73,meet(X_94,complement(meet(X_73,X_94))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_73,join(X_73,meet(X_73,meet(X_94,complement(meet(X_73,X_94)))))) ),[0],$fot(join(X_73,meet(X_73,complement(join(complement(X_94),meet(X_73,X_94))))))]]) ).
cnf(refute_0_881,plain,
( X_73 != join(X_73,meet(X_73,complement(join(complement(X_94),meet(X_73,X_94)))))
| X_73 = join(X_73,meet(X_73,meet(X_94,complement(meet(X_73,X_94))))) ),
inference(resolve,[$cnf( $equal(join(X_73,meet(X_73,complement(join(complement(X_94),meet(X_73,X_94))))),join(X_73,meet(X_73,meet(X_94,complement(meet(X_73,X_94)))))) )],[refute_0_879,refute_0_880]) ).
cnf(refute_0_882,plain,
X_73 = join(X_73,meet(X_73,meet(X_94,complement(meet(X_73,X_94))))),
inference(resolve,[$cnf( $equal(X_73,join(X_73,meet(X_73,complement(join(complement(X_94),meet(X_73,X_94)))))) )],[refute_0_870,refute_0_881]) ).
cnf(refute_0_883,plain,
join(one,one) = join(join(one,one),meet(join(one,one),meet(converse(complement(join(one,one))),complement(meet(join(one,one),converse(complement(join(one,one)))))))),
inference(subst,[],[refute_0_882:[bind(X_73,$fot(join(one,one))),bind(X_94,$fot(converse(complement(join(one,one)))))]]) ).
cnf(refute_0_884,plain,
join(complement(converse(complement(join(one,one)))),converse(join(complement(join(one,one)),meet(join(one,one),converse(complement(join(one,one))))))) = top,
inference(subst,[],[refute_0_615:[bind(X1,$fot(complement(join(one,one)))),bind(X_139,$fot(meet(join(one,one),converse(complement(join(one,one))))))]]) ).
cnf(refute_0_885,plain,
converse(complement(join(one,one))) = join(meet(complement(join(one,one)),converse(complement(join(one,one)))),meet(converse(complement(join(one,one))),complement(complement(join(one,one))))),
inference(subst,[],[refute_0_438:[bind(X_73,$fot(converse(complement(join(one,one))))),bind(X_74,$fot(complement(join(one,one))))]]) ).
cnf(refute_0_886,plain,
complement(join(one,one)) = meet(complement(join(one,one)),converse(complement(converse(join(one,one))))),
inference(subst,[],[refute_0_658:[bind(X_85,$fot(join(one,one)))]]) ).
cnf(refute_0_887,plain,
( complement(join(one,one)) != meet(complement(join(one,one)),converse(complement(converse(join(one,one)))))
| converse(join(one,one)) != join(one,one)
| complement(join(one,one)) = meet(complement(join(one,one)),converse(complement(join(one,one)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(one,one)),meet(complement(join(one,one)),converse(complement(converse(join(one,one)))))) ),[1,1,0,0],$fot(join(one,one))]]) ).
cnf(refute_0_888,plain,
( complement(join(one,one)) != meet(complement(join(one,one)),converse(complement(converse(join(one,one)))))
| complement(join(one,one)) = meet(complement(join(one,one)),converse(complement(join(one,one)))) ),
inference(resolve,[$cnf( $equal(converse(join(one,one)),join(one,one)) )],[refute_0_768,refute_0_887]) ).
cnf(refute_0_889,plain,
complement(join(one,one)) = meet(complement(join(one,one)),converse(complement(join(one,one)))),
inference(resolve,[$cnf( $equal(complement(join(one,one)),meet(complement(join(one,one)),converse(complement(converse(join(one,one)))))) )],[refute_0_886,refute_0_888]) ).
cnf(refute_0_890,plain,
( complement(join(one,one)) != meet(complement(join(one,one)),converse(complement(join(one,one))))
| meet(complement(join(one,one)),converse(complement(join(one,one)))) = complement(join(one,one)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(complement(join(one,one)))),bind(Y,$fot(meet(complement(join(one,one)),converse(complement(join(one,one))))))]]) ).
cnf(refute_0_891,plain,
meet(complement(join(one,one)),converse(complement(join(one,one)))) = complement(join(one,one)),
inference(resolve,[$cnf( $equal(complement(join(one,one)),meet(complement(join(one,one)),converse(complement(join(one,one))))) )],[refute_0_889,refute_0_890]) ).
cnf(refute_0_892,plain,
( converse(complement(join(one,one))) != join(meet(complement(join(one,one)),converse(complement(join(one,one)))),meet(converse(complement(join(one,one))),complement(complement(join(one,one)))))
| meet(complement(join(one,one)),converse(complement(join(one,one)))) != complement(join(one,one))
| converse(complement(join(one,one))) = join(complement(join(one,one)),meet(converse(complement(join(one,one))),complement(complement(join(one,one))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(join(one,one))),join(meet(complement(join(one,one)),converse(complement(join(one,one)))),meet(converse(complement(join(one,one))),complement(complement(join(one,one)))))) ),[1,0],$fot(complement(join(one,one)))]]) ).
cnf(refute_0_893,plain,
( converse(complement(join(one,one))) != join(meet(complement(join(one,one)),converse(complement(join(one,one)))),meet(converse(complement(join(one,one))),complement(complement(join(one,one)))))
| converse(complement(join(one,one))) = join(complement(join(one,one)),meet(converse(complement(join(one,one))),complement(complement(join(one,one))))) ),
inference(resolve,[$cnf( $equal(meet(complement(join(one,one)),converse(complement(join(one,one)))),complement(join(one,one))) )],[refute_0_891,refute_0_892]) ).
cnf(refute_0_894,plain,
converse(complement(join(one,one))) = join(complement(join(one,one)),meet(converse(complement(join(one,one))),complement(complement(join(one,one))))),
inference(resolve,[$cnf( $equal(converse(complement(join(one,one))),join(meet(complement(join(one,one)),converse(complement(join(one,one)))),meet(converse(complement(join(one,one))),complement(complement(join(one,one)))))) )],[refute_0_885,refute_0_893]) ).
cnf(refute_0_895,plain,
complement(complement(join(one,one))) = join(one,one),
inference(subst,[],[refute_0_781:[bind(X1,$fot(join(one,one)))]]) ).
cnf(refute_0_896,plain,
meet(complement(complement(join(one,one))),converse(complement(join(one,one)))) = meet(complement(complement(join(one,one))),converse(complement(join(one,one)))),
introduced(tautology,[refl,[$fot(meet(complement(complement(join(one,one))),converse(complement(join(one,one)))))]]) ).
cnf(refute_0_897,plain,
( complement(complement(join(one,one))) != join(one,one)
| meet(complement(complement(join(one,one))),converse(complement(join(one,one)))) != meet(complement(complement(join(one,one))),converse(complement(join(one,one))))
| meet(complement(complement(join(one,one))),converse(complement(join(one,one)))) = meet(join(one,one),converse(complement(join(one,one)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(complement(join(one,one))),converse(complement(join(one,one)))),meet(complement(complement(join(one,one))),converse(complement(join(one,one))))) ),[1,0],$fot(join(one,one))]]) ).
cnf(refute_0_898,plain,
( complement(complement(join(one,one))) != join(one,one)
| meet(complement(complement(join(one,one))),converse(complement(join(one,one)))) = meet(join(one,one),converse(complement(join(one,one)))) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(join(one,one))),converse(complement(join(one,one)))),meet(complement(complement(join(one,one))),converse(complement(join(one,one))))) )],[refute_0_896,refute_0_897]) ).
cnf(refute_0_899,plain,
meet(complement(complement(join(one,one))),converse(complement(join(one,one)))) = meet(join(one,one),converse(complement(join(one,one)))),
inference(resolve,[$cnf( $equal(complement(complement(join(one,one))),join(one,one)) )],[refute_0_895,refute_0_898]) ).
cnf(refute_0_900,plain,
( meet(X_13,X_14) != meet(X_14,X_13)
| meet(X_14,X_13) = meet(X_13,X_14) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(meet(X_13,X_14))),bind(Y,$fot(meet(X_14,X_13)))]]) ).
cnf(refute_0_901,plain,
meet(X_14,X_13) = meet(X_13,X_14),
inference(resolve,[$cnf( $equal(meet(X_13,X_14),meet(X_14,X_13)) )],[refute_0_89,refute_0_900]) ).
cnf(refute_0_902,plain,
meet(converse(complement(join(one,one))),complement(complement(join(one,one)))) = meet(complement(complement(join(one,one))),converse(complement(join(one,one)))),
inference(subst,[],[refute_0_901:[bind(X_13,$fot(complement(complement(join(one,one))))),bind(X_14,$fot(converse(complement(join(one,one)))))]]) ).
cnf(refute_0_903,plain,
( meet(complement(complement(join(one,one))),converse(complement(join(one,one)))) != meet(join(one,one),converse(complement(join(one,one))))
| meet(converse(complement(join(one,one))),complement(complement(join(one,one)))) != meet(complement(complement(join(one,one))),converse(complement(join(one,one))))
| meet(converse(complement(join(one,one))),complement(complement(join(one,one)))) = meet(join(one,one),converse(complement(join(one,one)))) ),
inference(subst,[],[refute_0_71:[bind(X,$fot(meet(converse(complement(join(one,one))),complement(complement(join(one,one)))))),bind(Y,$fot(meet(complement(complement(join(one,one))),converse(complement(join(one,one)))))),bind(Z,$fot(meet(join(one,one),converse(complement(join(one,one))))))]]) ).
cnf(refute_0_904,plain,
( meet(complement(complement(join(one,one))),converse(complement(join(one,one)))) != meet(join(one,one),converse(complement(join(one,one))))
| meet(converse(complement(join(one,one))),complement(complement(join(one,one)))) = meet(join(one,one),converse(complement(join(one,one)))) ),
inference(resolve,[$cnf( $equal(meet(converse(complement(join(one,one))),complement(complement(join(one,one)))),meet(complement(complement(join(one,one))),converse(complement(join(one,one))))) )],[refute_0_902,refute_0_903]) ).
cnf(refute_0_905,plain,
meet(converse(complement(join(one,one))),complement(complement(join(one,one)))) = meet(join(one,one),converse(complement(join(one,one)))),
inference(resolve,[$cnf( $equal(meet(complement(complement(join(one,one))),converse(complement(join(one,one)))),meet(join(one,one),converse(complement(join(one,one))))) )],[refute_0_899,refute_0_904]) ).
cnf(refute_0_906,plain,
join(complement(join(one,one)),meet(converse(complement(join(one,one))),complement(complement(join(one,one))))) = join(complement(join(one,one)),meet(converse(complement(join(one,one))),complement(complement(join(one,one))))),
introduced(tautology,[refl,[$fot(join(complement(join(one,one)),meet(converse(complement(join(one,one))),complement(complement(join(one,one))))))]]) ).
cnf(refute_0_907,plain,
( join(complement(join(one,one)),meet(converse(complement(join(one,one))),complement(complement(join(one,one))))) != join(complement(join(one,one)),meet(converse(complement(join(one,one))),complement(complement(join(one,one)))))
| meet(converse(complement(join(one,one))),complement(complement(join(one,one)))) != meet(join(one,one),converse(complement(join(one,one))))
| join(complement(join(one,one)),meet(converse(complement(join(one,one))),complement(complement(join(one,one))))) = join(complement(join(one,one)),meet(join(one,one),converse(complement(join(one,one))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(join(one,one)),meet(converse(complement(join(one,one))),complement(complement(join(one,one))))),join(complement(join(one,one)),meet(converse(complement(join(one,one))),complement(complement(join(one,one)))))) ),[1,1],$fot(meet(join(one,one),converse(complement(join(one,one)))))]]) ).
cnf(refute_0_908,plain,
( meet(converse(complement(join(one,one))),complement(complement(join(one,one)))) != meet(join(one,one),converse(complement(join(one,one))))
| join(complement(join(one,one)),meet(converse(complement(join(one,one))),complement(complement(join(one,one))))) = join(complement(join(one,one)),meet(join(one,one),converse(complement(join(one,one))))) ),
inference(resolve,[$cnf( $equal(join(complement(join(one,one)),meet(converse(complement(join(one,one))),complement(complement(join(one,one))))),join(complement(join(one,one)),meet(converse(complement(join(one,one))),complement(complement(join(one,one)))))) )],[refute_0_906,refute_0_907]) ).
cnf(refute_0_909,plain,
join(complement(join(one,one)),meet(converse(complement(join(one,one))),complement(complement(join(one,one))))) = join(complement(join(one,one)),meet(join(one,one),converse(complement(join(one,one))))),
inference(resolve,[$cnf( $equal(meet(converse(complement(join(one,one))),complement(complement(join(one,one)))),meet(join(one,one),converse(complement(join(one,one))))) )],[refute_0_905,refute_0_908]) ).
cnf(refute_0_910,plain,
( converse(complement(join(one,one))) != join(complement(join(one,one)),meet(converse(complement(join(one,one))),complement(complement(join(one,one)))))
| join(complement(join(one,one)),meet(converse(complement(join(one,one))),complement(complement(join(one,one))))) != join(complement(join(one,one)),meet(join(one,one),converse(complement(join(one,one)))))
| converse(complement(join(one,one))) = join(complement(join(one,one)),meet(join(one,one),converse(complement(join(one,one))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(complement(join(one,one))),join(complement(join(one,one)),meet(join(one,one),converse(complement(join(one,one)))))) ),[0],$fot(join(complement(join(one,one)),meet(converse(complement(join(one,one))),complement(complement(join(one,one))))))]]) ).
cnf(refute_0_911,plain,
( converse(complement(join(one,one))) != join(complement(join(one,one)),meet(converse(complement(join(one,one))),complement(complement(join(one,one)))))
| converse(complement(join(one,one))) = join(complement(join(one,one)),meet(join(one,one),converse(complement(join(one,one))))) ),
inference(resolve,[$cnf( $equal(join(complement(join(one,one)),meet(converse(complement(join(one,one))),complement(complement(join(one,one))))),join(complement(join(one,one)),meet(join(one,one),converse(complement(join(one,one)))))) )],[refute_0_909,refute_0_910]) ).
cnf(refute_0_912,plain,
converse(complement(join(one,one))) = join(complement(join(one,one)),meet(join(one,one),converse(complement(join(one,one))))),
inference(resolve,[$cnf( $equal(converse(complement(join(one,one))),join(complement(join(one,one)),meet(converse(complement(join(one,one))),complement(complement(join(one,one)))))) )],[refute_0_894,refute_0_911]) ).
cnf(refute_0_913,plain,
( converse(complement(join(one,one))) != join(complement(join(one,one)),meet(join(one,one),converse(complement(join(one,one)))))
| join(complement(join(one,one)),meet(join(one,one),converse(complement(join(one,one))))) = converse(complement(join(one,one))) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(converse(complement(join(one,one))))),bind(Y,$fot(join(complement(join(one,one)),meet(join(one,one),converse(complement(join(one,one)))))))]]) ).
cnf(refute_0_914,plain,
join(complement(join(one,one)),meet(join(one,one),converse(complement(join(one,one))))) = converse(complement(join(one,one))),
inference(resolve,[$cnf( $equal(converse(complement(join(one,one))),join(complement(join(one,one)),meet(join(one,one),converse(complement(join(one,one)))))) )],[refute_0_912,refute_0_913]) ).
cnf(refute_0_915,plain,
( join(complement(converse(complement(join(one,one)))),converse(join(complement(join(one,one)),meet(join(one,one),converse(complement(join(one,one))))))) != top
| join(complement(join(one,one)),meet(join(one,one),converse(complement(join(one,one))))) != converse(complement(join(one,one)))
| join(complement(converse(complement(join(one,one)))),converse(converse(complement(join(one,one))))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(complement(join(one,one)))),converse(join(complement(join(one,one)),meet(join(one,one),converse(complement(join(one,one))))))),top) ),[0,1,0],$fot(converse(complement(join(one,one))))]]) ).
cnf(refute_0_916,plain,
( join(complement(converse(complement(join(one,one)))),converse(join(complement(join(one,one)),meet(join(one,one),converse(complement(join(one,one))))))) != top
| join(complement(converse(complement(join(one,one)))),converse(converse(complement(join(one,one))))) = top ),
inference(resolve,[$cnf( $equal(join(complement(join(one,one)),meet(join(one,one),converse(complement(join(one,one))))),converse(complement(join(one,one)))) )],[refute_0_914,refute_0_915]) ).
cnf(refute_0_917,plain,
join(complement(converse(complement(join(one,one)))),converse(converse(complement(join(one,one))))) = top,
inference(resolve,[$cnf( $equal(join(complement(converse(complement(join(one,one)))),converse(join(complement(join(one,one)),meet(join(one,one),converse(complement(join(one,one))))))),top) )],[refute_0_884,refute_0_916]) ).
cnf(refute_0_918,plain,
meet(converse(complement(join(one,one))),join(one,one)) = meet(join(one,one),converse(complement(join(one,one)))),
inference(subst,[],[refute_0_901:[bind(X_13,$fot(join(one,one))),bind(X_14,$fot(converse(complement(join(one,one)))))]]) ).
cnf(refute_0_919,plain,
complement(meet(converse(complement(join(one,one))),join(one,one))) = complement(meet(converse(complement(join(one,one))),join(one,one))),
introduced(tautology,[refl,[$fot(complement(meet(converse(complement(join(one,one))),join(one,one))))]]) ).
cnf(refute_0_920,plain,
( complement(meet(converse(complement(join(one,one))),join(one,one))) != complement(meet(converse(complement(join(one,one))),join(one,one)))
| meet(converse(complement(join(one,one))),join(one,one)) != meet(join(one,one),converse(complement(join(one,one))))
| complement(meet(converse(complement(join(one,one))),join(one,one))) = complement(meet(join(one,one),converse(complement(join(one,one))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(converse(complement(join(one,one))),join(one,one))),complement(meet(converse(complement(join(one,one))),join(one,one)))) ),[1,0],$fot(meet(join(one,one),converse(complement(join(one,one)))))]]) ).
cnf(refute_0_921,plain,
( meet(converse(complement(join(one,one))),join(one,one)) != meet(join(one,one),converse(complement(join(one,one))))
| complement(meet(converse(complement(join(one,one))),join(one,one))) = complement(meet(join(one,one),converse(complement(join(one,one))))) ),
inference(resolve,[$cnf( $equal(complement(meet(converse(complement(join(one,one))),join(one,one))),complement(meet(converse(complement(join(one,one))),join(one,one)))) )],[refute_0_919,refute_0_920]) ).
cnf(refute_0_922,plain,
complement(meet(converse(complement(join(one,one))),join(one,one))) = complement(meet(join(one,one),converse(complement(join(one,one))))),
inference(resolve,[$cnf( $equal(meet(converse(complement(join(one,one))),join(one,one)),meet(join(one,one),converse(complement(join(one,one))))) )],[refute_0_918,refute_0_921]) ).
cnf(refute_0_923,plain,
join(complement(converse(complement(join(one,one)))),complement(join(one,one))) = complement(meet(converse(complement(join(one,one))),join(one,one))),
inference(subst,[],[refute_0_756:[bind(X0,$fot(converse(complement(join(one,one))))),bind(X1,$fot(join(one,one)))]]) ).
cnf(refute_0_924,plain,
( complement(meet(converse(complement(join(one,one))),join(one,one))) != complement(meet(join(one,one),converse(complement(join(one,one)))))
| join(complement(converse(complement(join(one,one)))),complement(join(one,one))) != complement(meet(converse(complement(join(one,one))),join(one,one)))
| join(complement(converse(complement(join(one,one)))),complement(join(one,one))) = complement(meet(join(one,one),converse(complement(join(one,one))))) ),
inference(subst,[],[refute_0_71:[bind(X,$fot(join(complement(converse(complement(join(one,one)))),complement(join(one,one))))),bind(Y,$fot(complement(meet(converse(complement(join(one,one))),join(one,one))))),bind(Z,$fot(complement(meet(join(one,one),converse(complement(join(one,one)))))))]]) ).
cnf(refute_0_925,plain,
( complement(meet(converse(complement(join(one,one))),join(one,one))) != complement(meet(join(one,one),converse(complement(join(one,one)))))
| join(complement(converse(complement(join(one,one)))),complement(join(one,one))) = complement(meet(join(one,one),converse(complement(join(one,one))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(join(one,one)))),complement(join(one,one))),complement(meet(converse(complement(join(one,one))),join(one,one)))) )],[refute_0_923,refute_0_924]) ).
cnf(refute_0_926,plain,
join(complement(converse(complement(join(one,one)))),complement(join(one,one))) = complement(meet(join(one,one),converse(complement(join(one,one))))),
inference(resolve,[$cnf( $equal(complement(meet(converse(complement(join(one,one))),join(one,one))),complement(meet(join(one,one),converse(complement(join(one,one)))))) )],[refute_0_922,refute_0_925]) ).
cnf(refute_0_927,plain,
converse(converse(complement(join(one,one)))) = complement(join(one,one)),
inference(subst,[],[refute_0_35:[bind(X0,$fot(complement(join(one,one))))]]) ).
cnf(refute_0_928,plain,
join(complement(converse(complement(join(one,one)))),converse(converse(complement(join(one,one))))) = join(complement(converse(complement(join(one,one)))),converse(converse(complement(join(one,one))))),
introduced(tautology,[refl,[$fot(join(complement(converse(complement(join(one,one)))),converse(converse(complement(join(one,one))))))]]) ).
cnf(refute_0_929,plain,
( converse(converse(complement(join(one,one)))) != complement(join(one,one))
| join(complement(converse(complement(join(one,one)))),converse(converse(complement(join(one,one))))) != join(complement(converse(complement(join(one,one)))),converse(converse(complement(join(one,one)))))
| join(complement(converse(complement(join(one,one)))),converse(converse(complement(join(one,one))))) = join(complement(converse(complement(join(one,one)))),complement(join(one,one))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(complement(join(one,one)))),converse(converse(complement(join(one,one))))),join(complement(converse(complement(join(one,one)))),converse(converse(complement(join(one,one)))))) ),[1,1],$fot(complement(join(one,one)))]]) ).
cnf(refute_0_930,plain,
( converse(converse(complement(join(one,one)))) != complement(join(one,one))
| join(complement(converse(complement(join(one,one)))),converse(converse(complement(join(one,one))))) = join(complement(converse(complement(join(one,one)))),complement(join(one,one))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(join(one,one)))),converse(converse(complement(join(one,one))))),join(complement(converse(complement(join(one,one)))),converse(converse(complement(join(one,one)))))) )],[refute_0_928,refute_0_929]) ).
cnf(refute_0_931,plain,
join(complement(converse(complement(join(one,one)))),converse(converse(complement(join(one,one))))) = join(complement(converse(complement(join(one,one)))),complement(join(one,one))),
inference(resolve,[$cnf( $equal(converse(converse(complement(join(one,one)))),complement(join(one,one))) )],[refute_0_927,refute_0_930]) ).
cnf(refute_0_932,plain,
( join(complement(converse(complement(join(one,one)))),complement(join(one,one))) != complement(meet(join(one,one),converse(complement(join(one,one)))))
| join(complement(converse(complement(join(one,one)))),converse(converse(complement(join(one,one))))) != join(complement(converse(complement(join(one,one)))),complement(join(one,one)))
| join(complement(converse(complement(join(one,one)))),converse(converse(complement(join(one,one))))) = complement(meet(join(one,one),converse(complement(join(one,one))))) ),
inference(subst,[],[refute_0_71:[bind(X,$fot(join(complement(converse(complement(join(one,one)))),converse(converse(complement(join(one,one))))))),bind(Y,$fot(join(complement(converse(complement(join(one,one)))),complement(join(one,one))))),bind(Z,$fot(complement(meet(join(one,one),converse(complement(join(one,one)))))))]]) ).
cnf(refute_0_933,plain,
( join(complement(converse(complement(join(one,one)))),complement(join(one,one))) != complement(meet(join(one,one),converse(complement(join(one,one)))))
| join(complement(converse(complement(join(one,one)))),converse(converse(complement(join(one,one))))) = complement(meet(join(one,one),converse(complement(join(one,one))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(join(one,one)))),converse(converse(complement(join(one,one))))),join(complement(converse(complement(join(one,one)))),complement(join(one,one)))) )],[refute_0_931,refute_0_932]) ).
cnf(refute_0_934,plain,
join(complement(converse(complement(join(one,one)))),converse(converse(complement(join(one,one))))) = complement(meet(join(one,one),converse(complement(join(one,one))))),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(join(one,one)))),complement(join(one,one))),complement(meet(join(one,one),converse(complement(join(one,one)))))) )],[refute_0_926,refute_0_933]) ).
cnf(refute_0_935,plain,
( join(complement(converse(complement(join(one,one)))),converse(converse(complement(join(one,one))))) != complement(meet(join(one,one),converse(complement(join(one,one)))))
| join(complement(converse(complement(join(one,one)))),converse(converse(complement(join(one,one))))) != top
| complement(meet(join(one,one),converse(complement(join(one,one))))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(complement(join(one,one)))),converse(converse(complement(join(one,one))))),top) ),[0],$fot(complement(meet(join(one,one),converse(complement(join(one,one))))))]]) ).
cnf(refute_0_936,plain,
( join(complement(converse(complement(join(one,one)))),converse(converse(complement(join(one,one))))) != top
| complement(meet(join(one,one),converse(complement(join(one,one))))) = top ),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(join(one,one)))),converse(converse(complement(join(one,one))))),complement(meet(join(one,one),converse(complement(join(one,one)))))) )],[refute_0_934,refute_0_935]) ).
cnf(refute_0_937,plain,
complement(meet(join(one,one),converse(complement(join(one,one))))) = top,
inference(resolve,[$cnf( $equal(join(complement(converse(complement(join(one,one)))),converse(converse(complement(join(one,one))))),top) )],[refute_0_917,refute_0_936]) ).
cnf(refute_0_938,plain,
( complement(meet(join(one,one),converse(complement(join(one,one))))) != top
| join(one,one) != join(join(one,one),meet(join(one,one),meet(converse(complement(join(one,one))),complement(meet(join(one,one),converse(complement(join(one,one))))))))
| join(one,one) = join(join(one,one),meet(join(one,one),meet(converse(complement(join(one,one))),top))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,one),join(join(one,one),meet(join(one,one),meet(converse(complement(join(one,one))),complement(meet(join(one,one),converse(complement(join(one,one))))))))) ),[1,1,1,1],$fot(top)]]) ).
cnf(refute_0_939,plain,
( join(one,one) != join(join(one,one),meet(join(one,one),meet(converse(complement(join(one,one))),complement(meet(join(one,one),converse(complement(join(one,one))))))))
| join(one,one) = join(join(one,one),meet(join(one,one),meet(converse(complement(join(one,one))),top))) ),
inference(resolve,[$cnf( $equal(complement(meet(join(one,one),converse(complement(join(one,one))))),top) )],[refute_0_937,refute_0_938]) ).
cnf(refute_0_940,plain,
join(one,one) = join(join(one,one),meet(join(one,one),meet(converse(complement(join(one,one))),top))),
inference(resolve,[$cnf( $equal(join(one,one),join(join(one,one),meet(join(one,one),meet(converse(complement(join(one,one))),complement(meet(join(one,one),converse(complement(join(one,one))))))))) )],[refute_0_883,refute_0_939]) ).
cnf(refute_0_941,plain,
join(one,zero) = one,
inference(subst,[],[refute_0_816:[bind(X_75,$fot(one))]]) ).
cnf(refute_0_942,plain,
meet(join(one,one),converse(complement(join(one,one)))) = complement(complement(meet(join(one,one),converse(complement(join(one,one)))))),
inference(subst,[],[refute_0_458:[bind(X1,$fot(meet(join(one,one),converse(complement(join(one,one))))))]]) ).
cnf(refute_0_943,plain,
( complement(meet(join(one,one),converse(complement(join(one,one))))) != top
| meet(join(one,one),converse(complement(join(one,one)))) != complement(complement(meet(join(one,one),converse(complement(join(one,one))))))
| meet(join(one,one),converse(complement(join(one,one)))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(one,one),converse(complement(join(one,one)))),complement(complement(meet(join(one,one),converse(complement(join(one,one))))))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_944,plain,
( meet(join(one,one),converse(complement(join(one,one)))) != complement(complement(meet(join(one,one),converse(complement(join(one,one))))))
| meet(join(one,one),converse(complement(join(one,one)))) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(meet(join(one,one),converse(complement(join(one,one))))),top) )],[refute_0_937,refute_0_943]) ).
cnf(refute_0_945,plain,
meet(join(one,one),converse(complement(join(one,one)))) = complement(top),
inference(resolve,[$cnf( $equal(meet(join(one,one),converse(complement(join(one,one)))),complement(complement(meet(join(one,one),converse(complement(join(one,one))))))) )],[refute_0_942,refute_0_944]) ).
cnf(refute_0_946,plain,
( complement(top) != zero
| meet(join(one,one),converse(complement(join(one,one)))) != complement(top)
| meet(join(one,one),converse(complement(join(one,one)))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(one,one),converse(complement(join(one,one)))),complement(top)) ),[1],$fot(zero)]]) ).
cnf(refute_0_947,plain,
( meet(join(one,one),converse(complement(join(one,one)))) != complement(top)
| meet(join(one,one),converse(complement(join(one,one)))) = zero ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_125,refute_0_946]) ).
cnf(refute_0_948,plain,
meet(join(one,one),converse(complement(join(one,one)))) = zero,
inference(resolve,[$cnf( $equal(meet(join(one,one),converse(complement(join(one,one)))),complement(top)) )],[refute_0_945,refute_0_947]) ).
cnf(refute_0_949,plain,
join(zero,meet(X_73,top)) = meet(X_73,top),
inference(subst,[],[refute_0_396:[bind(X_75,$fot(meet(X_73,top)))]]) ).
cnf(refute_0_950,plain,
( X_73 != join(zero,meet(X_73,top))
| join(zero,meet(X_73,top)) != meet(X_73,top)
| X_73 = meet(X_73,top) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_73,meet(X_73,top)) ),[0],$fot(join(zero,meet(X_73,top)))]]) ).
cnf(refute_0_951,plain,
( X_73 != join(zero,meet(X_73,top))
| X_73 = meet(X_73,top) ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_73,top)),meet(X_73,top)) )],[refute_0_949,refute_0_950]) ).
cnf(refute_0_952,plain,
X_73 = meet(X_73,top),
inference(resolve,[$cnf( $equal(X_73,join(zero,meet(X_73,top))) )],[refute_0_387,refute_0_951]) ).
cnf(refute_0_953,plain,
( X_73 != meet(X_73,top)
| meet(X_73,top) = X_73 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(X_73)),bind(Y,$fot(meet(X_73,top)))]]) ).
cnf(refute_0_954,plain,
meet(X_73,top) = X_73,
inference(resolve,[$cnf( $equal(X_73,meet(X_73,top)) )],[refute_0_952,refute_0_953]) ).
cnf(refute_0_955,plain,
meet(converse(complement(join(one,one))),top) = converse(complement(join(one,one))),
inference(subst,[],[refute_0_954:[bind(X_73,$fot(converse(complement(join(one,one)))))]]) ).
cnf(refute_0_956,plain,
meet(join(one,one),meet(converse(complement(join(one,one))),top)) = meet(join(one,one),meet(converse(complement(join(one,one))),top)),
introduced(tautology,[refl,[$fot(meet(join(one,one),meet(converse(complement(join(one,one))),top)))]]) ).
cnf(refute_0_957,plain,
( meet(converse(complement(join(one,one))),top) != converse(complement(join(one,one)))
| meet(join(one,one),meet(converse(complement(join(one,one))),top)) != meet(join(one,one),meet(converse(complement(join(one,one))),top))
| meet(join(one,one),meet(converse(complement(join(one,one))),top)) = meet(join(one,one),converse(complement(join(one,one)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(one,one),meet(converse(complement(join(one,one))),top)),meet(join(one,one),meet(converse(complement(join(one,one))),top))) ),[1,1],$fot(converse(complement(join(one,one))))]]) ).
cnf(refute_0_958,plain,
( meet(converse(complement(join(one,one))),top) != converse(complement(join(one,one)))
| meet(join(one,one),meet(converse(complement(join(one,one))),top)) = meet(join(one,one),converse(complement(join(one,one)))) ),
inference(resolve,[$cnf( $equal(meet(join(one,one),meet(converse(complement(join(one,one))),top)),meet(join(one,one),meet(converse(complement(join(one,one))),top))) )],[refute_0_956,refute_0_957]) ).
cnf(refute_0_959,plain,
meet(join(one,one),meet(converse(complement(join(one,one))),top)) = meet(join(one,one),converse(complement(join(one,one)))),
inference(resolve,[$cnf( $equal(meet(converse(complement(join(one,one))),top),converse(complement(join(one,one)))) )],[refute_0_955,refute_0_958]) ).
cnf(refute_0_960,plain,
( meet(join(one,one),converse(complement(join(one,one)))) != zero
| meet(join(one,one),meet(converse(complement(join(one,one))),top)) != meet(join(one,one),converse(complement(join(one,one))))
| meet(join(one,one),meet(converse(complement(join(one,one))),top)) = zero ),
inference(subst,[],[refute_0_71:[bind(X,$fot(meet(join(one,one),meet(converse(complement(join(one,one))),top)))),bind(Y,$fot(meet(join(one,one),converse(complement(join(one,one)))))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_961,plain,
( meet(join(one,one),converse(complement(join(one,one)))) != zero
| meet(join(one,one),meet(converse(complement(join(one,one))),top)) = zero ),
inference(resolve,[$cnf( $equal(meet(join(one,one),meet(converse(complement(join(one,one))),top)),meet(join(one,one),converse(complement(join(one,one))))) )],[refute_0_959,refute_0_960]) ).
cnf(refute_0_962,plain,
meet(join(one,one),meet(converse(complement(join(one,one))),top)) = zero,
inference(resolve,[$cnf( $equal(meet(join(one,one),converse(complement(join(one,one)))),zero) )],[refute_0_948,refute_0_961]) ).
cnf(refute_0_963,plain,
join(one,meet(join(one,one),meet(converse(complement(join(one,one))),top))) = join(one,meet(join(one,one),meet(converse(complement(join(one,one))),top))),
introduced(tautology,[refl,[$fot(join(one,meet(join(one,one),meet(converse(complement(join(one,one))),top))))]]) ).
cnf(refute_0_964,plain,
( join(one,meet(join(one,one),meet(converse(complement(join(one,one))),top))) != join(one,meet(join(one,one),meet(converse(complement(join(one,one))),top)))
| meet(join(one,one),meet(converse(complement(join(one,one))),top)) != zero
| join(one,meet(join(one,one),meet(converse(complement(join(one,one))),top))) = join(one,zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,meet(join(one,one),meet(converse(complement(join(one,one))),top))),join(one,meet(join(one,one),meet(converse(complement(join(one,one))),top)))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_965,plain,
( meet(join(one,one),meet(converse(complement(join(one,one))),top)) != zero
| join(one,meet(join(one,one),meet(converse(complement(join(one,one))),top))) = join(one,zero) ),
inference(resolve,[$cnf( $equal(join(one,meet(join(one,one),meet(converse(complement(join(one,one))),top))),join(one,meet(join(one,one),meet(converse(complement(join(one,one))),top)))) )],[refute_0_963,refute_0_964]) ).
cnf(refute_0_966,plain,
join(one,meet(join(one,one),meet(converse(complement(join(one,one))),top))) = join(one,zero),
inference(resolve,[$cnf( $equal(meet(join(one,one),meet(converse(complement(join(one,one))),top)),zero) )],[refute_0_962,refute_0_965]) ).
cnf(refute_0_967,plain,
( join(one,meet(join(one,one),meet(converse(complement(join(one,one))),top))) != join(one,zero)
| join(one,zero) != one
| join(one,meet(join(one,one),meet(converse(complement(join(one,one))),top))) = one ),
inference(subst,[],[refute_0_71:[bind(X,$fot(join(one,meet(join(one,one),meet(converse(complement(join(one,one))),top))))),bind(Y,$fot(join(one,zero))),bind(Z,$fot(one))]]) ).
cnf(refute_0_968,plain,
( join(one,zero) != one
| join(one,meet(join(one,one),meet(converse(complement(join(one,one))),top))) = one ),
inference(resolve,[$cnf( $equal(join(one,meet(join(one,one),meet(converse(complement(join(one,one))),top))),join(one,zero)) )],[refute_0_966,refute_0_967]) ).
cnf(refute_0_969,plain,
join(one,meet(join(one,one),meet(converse(complement(join(one,one))),top))) = one,
inference(resolve,[$cnf( $equal(join(one,zero),one) )],[refute_0_941,refute_0_968]) ).
cnf(refute_0_970,plain,
join(complement(X_52),join(complement(X_52),X2)) = join(join(complement(X_52),complement(X_52)),X2),
inference(subst,[],[refute_0_135:[bind(X0,$fot(complement(X_52))),bind(X1,$fot(complement(X_52)))]]) ).
cnf(refute_0_971,plain,
join(complement(X_52),complement(X_52)) = complement(X_52),
inference(subst,[],[refute_0_190:[bind(X_51,$fot(X_52))]]) ).
cnf(refute_0_972,plain,
( join(complement(X_52),complement(X_52)) != complement(X_52)
| join(complement(X_52),join(complement(X_52),X2)) != join(join(complement(X_52),complement(X_52)),X2)
| join(complement(X_52),join(complement(X_52),X2)) = join(complement(X_52),X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_52),join(complement(X_52),X2)),join(join(complement(X_52),complement(X_52)),X2)) ),[1,0],$fot(complement(X_52))]]) ).
cnf(refute_0_973,plain,
( join(complement(X_52),join(complement(X_52),X2)) != join(join(complement(X_52),complement(X_52)),X2)
| join(complement(X_52),join(complement(X_52),X2)) = join(complement(X_52),X2) ),
inference(resolve,[$cnf( $equal(join(complement(X_52),complement(X_52)),complement(X_52)) )],[refute_0_971,refute_0_972]) ).
cnf(refute_0_974,plain,
join(complement(X_52),join(complement(X_52),X2)) = join(complement(X_52),X2),
inference(resolve,[$cnf( $equal(join(complement(X_52),join(complement(X_52),X2)),join(join(complement(X_52),complement(X_52)),X2)) )],[refute_0_970,refute_0_973]) ).
cnf(refute_0_975,plain,
join(complement(complement(X1)),join(complement(complement(X1)),X_131)) = join(complement(complement(X1)),X_131),
inference(subst,[],[refute_0_974:[bind(X2,$fot(X_131)),bind(X_52,$fot(complement(X1)))]]) ).
cnf(refute_0_976,plain,
( complement(complement(X1)) != X1
| join(complement(complement(X1)),join(complement(complement(X1)),X_131)) != join(complement(complement(X1)),X_131)
| join(X1,join(complement(complement(X1)),X_131)) = join(complement(complement(X1)),X_131) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(X1)),join(complement(complement(X1)),X_131)),join(complement(complement(X1)),X_131)) ),[0,0],$fot(X1)]]) ).
cnf(refute_0_977,plain,
( join(complement(complement(X1)),join(complement(complement(X1)),X_131)) != join(complement(complement(X1)),X_131)
| join(X1,join(complement(complement(X1)),X_131)) = join(complement(complement(X1)),X_131) ),
inference(resolve,[$cnf( $equal(complement(complement(X1)),X1) )],[refute_0_781,refute_0_976]) ).
cnf(refute_0_978,plain,
join(X1,join(complement(complement(X1)),X_131)) = join(complement(complement(X1)),X_131),
inference(resolve,[$cnf( $equal(join(complement(complement(X1)),join(complement(complement(X1)),X_131)),join(complement(complement(X1)),X_131)) )],[refute_0_975,refute_0_977]) ).
cnf(refute_0_979,plain,
join(complement(complement(X1)),X_131) = join(complement(complement(X1)),X_131),
introduced(tautology,[refl,[$fot(join(complement(complement(X1)),X_131))]]) ).
cnf(refute_0_980,plain,
( complement(complement(X1)) != X1
| join(complement(complement(X1)),X_131) != join(complement(complement(X1)),X_131)
| join(complement(complement(X1)),X_131) = join(X1,X_131) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(X1)),X_131),join(complement(complement(X1)),X_131)) ),[1,0],$fot(X1)]]) ).
cnf(refute_0_981,plain,
( complement(complement(X1)) != X1
| join(complement(complement(X1)),X_131) = join(X1,X_131) ),
inference(resolve,[$cnf( $equal(join(complement(complement(X1)),X_131),join(complement(complement(X1)),X_131)) )],[refute_0_979,refute_0_980]) ).
cnf(refute_0_982,plain,
join(complement(complement(X1)),X_131) = join(X1,X_131),
inference(resolve,[$cnf( $equal(complement(complement(X1)),X1) )],[refute_0_781,refute_0_981]) ).
cnf(refute_0_983,plain,
join(X1,join(complement(complement(X1)),X_131)) = join(X1,join(complement(complement(X1)),X_131)),
introduced(tautology,[refl,[$fot(join(X1,join(complement(complement(X1)),X_131)))]]) ).
cnf(refute_0_984,plain,
( join(X1,join(complement(complement(X1)),X_131)) != join(X1,join(complement(complement(X1)),X_131))
| join(complement(complement(X1)),X_131) != join(X1,X_131)
| join(X1,join(complement(complement(X1)),X_131)) = join(X1,join(X1,X_131)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X1,join(complement(complement(X1)),X_131)),join(X1,join(complement(complement(X1)),X_131))) ),[1,1],$fot(join(X1,X_131))]]) ).
cnf(refute_0_985,plain,
( join(complement(complement(X1)),X_131) != join(X1,X_131)
| join(X1,join(complement(complement(X1)),X_131)) = join(X1,join(X1,X_131)) ),
inference(resolve,[$cnf( $equal(join(X1,join(complement(complement(X1)),X_131)),join(X1,join(complement(complement(X1)),X_131))) )],[refute_0_983,refute_0_984]) ).
cnf(refute_0_986,plain,
join(X1,join(complement(complement(X1)),X_131)) = join(X1,join(X1,X_131)),
inference(resolve,[$cnf( $equal(join(complement(complement(X1)),X_131),join(X1,X_131)) )],[refute_0_982,refute_0_985]) ).
cnf(refute_0_987,plain,
( join(X1,join(complement(complement(X1)),X_131)) != join(X1,join(X1,X_131))
| join(X1,join(complement(complement(X1)),X_131)) != join(complement(complement(X1)),X_131)
| join(X1,join(X1,X_131)) = join(complement(complement(X1)),X_131) ),
introduced(tautology,[equality,[$cnf( $equal(join(X1,join(complement(complement(X1)),X_131)),join(complement(complement(X1)),X_131)) ),[0],$fot(join(X1,join(X1,X_131)))]]) ).
cnf(refute_0_988,plain,
( join(X1,join(complement(complement(X1)),X_131)) != join(complement(complement(X1)),X_131)
| join(X1,join(X1,X_131)) = join(complement(complement(X1)),X_131) ),
inference(resolve,[$cnf( $equal(join(X1,join(complement(complement(X1)),X_131)),join(X1,join(X1,X_131))) )],[refute_0_986,refute_0_987]) ).
cnf(refute_0_989,plain,
( join(X1,join(X1,X_131)) != join(complement(complement(X1)),X_131)
| join(complement(complement(X1)),X_131) != join(X1,X_131)
| join(X1,join(X1,X_131)) = join(X1,X_131) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X1,join(X1,X_131)),join(X1,X_131)) ),[0],$fot(join(complement(complement(X1)),X_131))]]) ).
cnf(refute_0_990,plain,
( join(X1,join(X1,X_131)) != join(complement(complement(X1)),X_131)
| join(X1,join(X1,X_131)) = join(X1,X_131) ),
inference(resolve,[$cnf( $equal(join(complement(complement(X1)),X_131),join(X1,X_131)) )],[refute_0_982,refute_0_989]) ).
cnf(refute_0_991,plain,
( join(X1,join(complement(complement(X1)),X_131)) != join(complement(complement(X1)),X_131)
| join(X1,join(X1,X_131)) = join(X1,X_131) ),
inference(resolve,[$cnf( $equal(join(X1,join(X1,X_131)),join(complement(complement(X1)),X_131)) )],[refute_0_988,refute_0_990]) ).
cnf(refute_0_992,plain,
join(X1,join(X1,X_131)) = join(X1,X_131),
inference(resolve,[$cnf( $equal(join(X1,join(complement(complement(X1)),X_131)),join(complement(complement(X1)),X_131)) )],[refute_0_978,refute_0_991]) ).
cnf(refute_0_993,plain,
join(one,join(one,meet(join(one,one),meet(converse(complement(join(one,one))),top)))) = join(one,meet(join(one,one),meet(converse(complement(join(one,one))),top))),
inference(subst,[],[refute_0_992:[bind(X1,$fot(one)),bind(X_131,$fot(meet(join(one,one),meet(converse(complement(join(one,one))),top))))]]) ).
cnf(refute_0_994,plain,
join(join(one,one),meet(join(one,one),meet(converse(complement(join(one,one))),top))) = join(one,join(one,meet(join(one,one),meet(converse(complement(join(one,one))),top)))),
inference(subst,[],[refute_0_241:[bind(X0,$fot(one)),bind(X1,$fot(one)),bind(X2,$fot(meet(join(one,one),meet(converse(complement(join(one,one))),top))))]]) ).
cnf(refute_0_995,plain,
( join(join(one,one),meet(join(one,one),meet(converse(complement(join(one,one))),top))) != join(one,join(one,meet(join(one,one),meet(converse(complement(join(one,one))),top))))
| join(one,join(one,meet(join(one,one),meet(converse(complement(join(one,one))),top)))) != join(one,meet(join(one,one),meet(converse(complement(join(one,one))),top)))
| join(join(one,one),meet(join(one,one),meet(converse(complement(join(one,one))),top))) = join(one,meet(join(one,one),meet(converse(complement(join(one,one))),top))) ),
inference(subst,[],[refute_0_71:[bind(X,$fot(join(join(one,one),meet(join(one,one),meet(converse(complement(join(one,one))),top))))),bind(Y,$fot(join(one,join(one,meet(join(one,one),meet(converse(complement(join(one,one))),top)))))),bind(Z,$fot(join(one,meet(join(one,one),meet(converse(complement(join(one,one))),top)))))]]) ).
cnf(refute_0_996,plain,
( join(one,join(one,meet(join(one,one),meet(converse(complement(join(one,one))),top)))) != join(one,meet(join(one,one),meet(converse(complement(join(one,one))),top)))
| join(join(one,one),meet(join(one,one),meet(converse(complement(join(one,one))),top))) = join(one,meet(join(one,one),meet(converse(complement(join(one,one))),top))) ),
inference(resolve,[$cnf( $equal(join(join(one,one),meet(join(one,one),meet(converse(complement(join(one,one))),top))),join(one,join(one,meet(join(one,one),meet(converse(complement(join(one,one))),top))))) )],[refute_0_994,refute_0_995]) ).
cnf(refute_0_997,plain,
join(join(one,one),meet(join(one,one),meet(converse(complement(join(one,one))),top))) = join(one,meet(join(one,one),meet(converse(complement(join(one,one))),top))),
inference(resolve,[$cnf( $equal(join(one,join(one,meet(join(one,one),meet(converse(complement(join(one,one))),top)))),join(one,meet(join(one,one),meet(converse(complement(join(one,one))),top)))) )],[refute_0_993,refute_0_996]) ).
cnf(refute_0_998,plain,
( join(join(one,one),meet(join(one,one),meet(converse(complement(join(one,one))),top))) != join(one,meet(join(one,one),meet(converse(complement(join(one,one))),top)))
| join(one,meet(join(one,one),meet(converse(complement(join(one,one))),top))) != one
| join(join(one,one),meet(join(one,one),meet(converse(complement(join(one,one))),top))) = one ),
inference(subst,[],[refute_0_71:[bind(X,$fot(join(join(one,one),meet(join(one,one),meet(converse(complement(join(one,one))),top))))),bind(Y,$fot(join(one,meet(join(one,one),meet(converse(complement(join(one,one))),top))))),bind(Z,$fot(one))]]) ).
cnf(refute_0_999,plain,
( join(one,meet(join(one,one),meet(converse(complement(join(one,one))),top))) != one
| join(join(one,one),meet(join(one,one),meet(converse(complement(join(one,one))),top))) = one ),
inference(resolve,[$cnf( $equal(join(join(one,one),meet(join(one,one),meet(converse(complement(join(one,one))),top))),join(one,meet(join(one,one),meet(converse(complement(join(one,one))),top)))) )],[refute_0_997,refute_0_998]) ).
cnf(refute_0_1000,plain,
join(join(one,one),meet(join(one,one),meet(converse(complement(join(one,one))),top))) = one,
inference(resolve,[$cnf( $equal(join(one,meet(join(one,one),meet(converse(complement(join(one,one))),top))),one) )],[refute_0_969,refute_0_999]) ).
cnf(refute_0_1001,plain,
( join(join(one,one),meet(join(one,one),meet(converse(complement(join(one,one))),top))) != one
| join(one,one) != join(join(one,one),meet(join(one,one),meet(converse(complement(join(one,one))),top)))
| join(one,one) = one ),
introduced(tautology,[equality,[$cnf( $equal(join(one,one),join(join(one,one),meet(join(one,one),meet(converse(complement(join(one,one))),top)))) ),[1],$fot(one)]]) ).
cnf(refute_0_1002,plain,
( join(one,one) != join(join(one,one),meet(join(one,one),meet(converse(complement(join(one,one))),top)))
| join(one,one) = one ),
inference(resolve,[$cnf( $equal(join(join(one,one),meet(join(one,one),meet(converse(complement(join(one,one))),top))),one) )],[refute_0_1000,refute_0_1001]) ).
cnf(refute_0_1003,plain,
join(one,one) = one,
inference(resolve,[$cnf( $equal(join(one,one),join(join(one,one),meet(join(one,one),meet(converse(complement(join(one,one))),top)))) )],[refute_0_940,refute_0_1002]) ).
cnf(refute_0_1004,plain,
composition(join(one,one),X_129) = composition(join(one,one),X_129),
introduced(tautology,[refl,[$fot(composition(join(one,one),X_129))]]) ).
cnf(refute_0_1005,plain,
( composition(join(one,one),X_129) != composition(join(one,one),X_129)
| join(one,one) != one
| composition(join(one,one),X_129) = composition(one,X_129) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,one),X_129),composition(join(one,one),X_129)) ),[1,0],$fot(one)]]) ).
cnf(refute_0_1006,plain,
( join(one,one) != one
| composition(join(one,one),X_129) = composition(one,X_129) ),
inference(resolve,[$cnf( $equal(composition(join(one,one),X_129),composition(join(one,one),X_129)) )],[refute_0_1004,refute_0_1005]) ).
cnf(refute_0_1007,plain,
composition(join(one,one),X_129) = composition(one,X_129),
inference(resolve,[$cnf( $equal(join(one,one),one) )],[refute_0_1003,refute_0_1006]) ).
cnf(refute_0_1008,plain,
( composition(join(one,one),X_129) != composition(one,X_129)
| composition(one,X_129) != X_129
| composition(join(one,one),X_129) = X_129 ),
inference(subst,[],[refute_0_71:[bind(X,$fot(composition(join(one,one),X_129))),bind(Y,$fot(composition(one,X_129))),bind(Z,$fot(X_129))]]) ).
cnf(refute_0_1009,plain,
( composition(one,X_129) != X_129
| composition(join(one,one),X_129) = X_129 ),
inference(resolve,[$cnf( $equal(composition(join(one,one),X_129),composition(one,X_129)) )],[refute_0_1007,refute_0_1008]) ).
cnf(refute_0_1010,plain,
composition(join(one,one),X_129) = X_129,
inference(resolve,[$cnf( $equal(composition(one,X_129),X_129) )],[refute_0_822,refute_0_1009]) ).
cnf(refute_0_1011,plain,
complement(composition(join(one,one),X_129)) = complement(composition(join(one,one),X_129)),
introduced(tautology,[refl,[$fot(complement(composition(join(one,one),X_129)))]]) ).
cnf(refute_0_1012,plain,
( complement(composition(join(one,one),X_129)) != complement(composition(join(one,one),X_129))
| composition(join(one,one),X_129) != X_129
| complement(composition(join(one,one),X_129)) = complement(X_129) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(join(one,one),X_129)),complement(composition(join(one,one),X_129))) ),[1,0],$fot(X_129)]]) ).
cnf(refute_0_1013,plain,
( composition(join(one,one),X_129) != X_129
| complement(composition(join(one,one),X_129)) = complement(X_129) ),
inference(resolve,[$cnf( $equal(complement(composition(join(one,one),X_129)),complement(composition(join(one,one),X_129))) )],[refute_0_1011,refute_0_1012]) ).
cnf(refute_0_1014,plain,
complement(composition(join(one,one),X_129)) = complement(X_129),
inference(resolve,[$cnf( $equal(composition(join(one,one),X_129),X_129) )],[refute_0_1010,refute_0_1013]) ).
cnf(refute_0_1015,plain,
composition(one,complement(composition(join(one,one),X_129))) = composition(one,complement(composition(join(one,one),X_129))),
introduced(tautology,[refl,[$fot(composition(one,complement(composition(join(one,one),X_129))))]]) ).
cnf(refute_0_1016,plain,
( complement(composition(join(one,one),X_129)) != complement(X_129)
| composition(one,complement(composition(join(one,one),X_129))) != composition(one,complement(composition(join(one,one),X_129)))
| composition(one,complement(composition(join(one,one),X_129))) = composition(one,complement(X_129)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(one,complement(composition(join(one,one),X_129))),composition(one,complement(composition(join(one,one),X_129)))) ),[1,1],$fot(complement(X_129))]]) ).
cnf(refute_0_1017,plain,
( complement(composition(join(one,one),X_129)) != complement(X_129)
| composition(one,complement(composition(join(one,one),X_129))) = composition(one,complement(X_129)) ),
inference(resolve,[$cnf( $equal(composition(one,complement(composition(join(one,one),X_129))),composition(one,complement(composition(join(one,one),X_129)))) )],[refute_0_1015,refute_0_1016]) ).
cnf(refute_0_1018,plain,
composition(one,complement(composition(join(one,one),X_129))) = composition(one,complement(X_129)),
inference(resolve,[$cnf( $equal(complement(composition(join(one,one),X_129)),complement(X_129)) )],[refute_0_1014,refute_0_1017]) ).
cnf(refute_0_1019,plain,
composition(join(one,one),complement(composition(join(one,one),X_129))) = composition(join(one,one),complement(composition(join(one,one),X_129))),
introduced(tautology,[refl,[$fot(composition(join(one,one),complement(composition(join(one,one),X_129))))]]) ).
cnf(refute_0_1020,plain,
( composition(join(one,one),complement(composition(join(one,one),X_129))) != composition(join(one,one),complement(composition(join(one,one),X_129)))
| join(one,one) != one
| composition(join(one,one),complement(composition(join(one,one),X_129))) = composition(one,complement(composition(join(one,one),X_129))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,one),complement(composition(join(one,one),X_129))),composition(join(one,one),complement(composition(join(one,one),X_129)))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_1021,plain,
( join(one,one) != one
| composition(join(one,one),complement(composition(join(one,one),X_129))) = composition(one,complement(composition(join(one,one),X_129))) ),
inference(resolve,[$cnf( $equal(composition(join(one,one),complement(composition(join(one,one),X_129))),composition(join(one,one),complement(composition(join(one,one),X_129)))) )],[refute_0_1019,refute_0_1020]) ).
cnf(refute_0_1022,plain,
composition(join(one,one),complement(composition(join(one,one),X_129))) = composition(one,complement(composition(join(one,one),X_129))),
inference(resolve,[$cnf( $equal(join(one,one),one) )],[refute_0_1003,refute_0_1021]) ).
cnf(refute_0_1023,plain,
( composition(join(one,one),complement(composition(join(one,one),X_129))) != composition(one,complement(composition(join(one,one),X_129)))
| composition(one,complement(composition(join(one,one),X_129))) != composition(one,complement(X_129))
| composition(join(one,one),complement(composition(join(one,one),X_129))) = composition(one,complement(X_129)) ),
inference(subst,[],[refute_0_71:[bind(X,$fot(composition(join(one,one),complement(composition(join(one,one),X_129))))),bind(Y,$fot(composition(one,complement(composition(join(one,one),X_129))))),bind(Z,$fot(composition(one,complement(X_129))))]]) ).
cnf(refute_0_1024,plain,
( composition(one,complement(composition(join(one,one),X_129))) != composition(one,complement(X_129))
| composition(join(one,one),complement(composition(join(one,one),X_129))) = composition(one,complement(X_129)) ),
inference(resolve,[$cnf( $equal(composition(join(one,one),complement(composition(join(one,one),X_129))),composition(one,complement(composition(join(one,one),X_129)))) )],[refute_0_1022,refute_0_1023]) ).
cnf(refute_0_1025,plain,
composition(join(one,one),complement(composition(join(one,one),X_129))) = composition(one,complement(X_129)),
inference(resolve,[$cnf( $equal(composition(one,complement(composition(join(one,one),X_129))),composition(one,complement(X_129))) )],[refute_0_1018,refute_0_1024]) ).
cnf(refute_0_1026,plain,
( composition(join(one,one),complement(composition(join(one,one),X_129))) != composition(one,complement(X_129))
| composition(one,complement(X_129)) != complement(X_129)
| composition(join(one,one),complement(composition(join(one,one),X_129))) = complement(X_129) ),
inference(subst,[],[refute_0_71:[bind(X,$fot(composition(join(one,one),complement(composition(join(one,one),X_129))))),bind(Y,$fot(composition(one,complement(X_129)))),bind(Z,$fot(complement(X_129)))]]) ).
cnf(refute_0_1027,plain,
( composition(one,complement(X_129)) != complement(X_129)
| composition(join(one,one),complement(composition(join(one,one),X_129))) = complement(X_129) ),
inference(resolve,[$cnf( $equal(composition(join(one,one),complement(composition(join(one,one),X_129))),composition(one,complement(X_129))) )],[refute_0_1025,refute_0_1026]) ).
cnf(refute_0_1028,plain,
composition(join(one,one),complement(composition(join(one,one),X_129))) = complement(X_129),
inference(resolve,[$cnf( $equal(composition(one,complement(X_129)),complement(X_129)) )],[refute_0_821,refute_0_1027]) ).
cnf(refute_0_1029,plain,
meet(X_129,composition(join(one,one),complement(composition(join(one,one),X_129)))) = meet(X_129,composition(join(one,one),complement(composition(join(one,one),X_129)))),
introduced(tautology,[refl,[$fot(meet(X_129,composition(join(one,one),complement(composition(join(one,one),X_129)))))]]) ).
cnf(refute_0_1030,plain,
( composition(join(one,one),complement(composition(join(one,one),X_129))) != complement(X_129)
| meet(X_129,composition(join(one,one),complement(composition(join(one,one),X_129)))) != meet(X_129,composition(join(one,one),complement(composition(join(one,one),X_129))))
| meet(X_129,composition(join(one,one),complement(composition(join(one,one),X_129)))) = meet(X_129,complement(X_129)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_129,composition(join(one,one),complement(composition(join(one,one),X_129)))),meet(X_129,composition(join(one,one),complement(composition(join(one,one),X_129))))) ),[1,1],$fot(complement(X_129))]]) ).
cnf(refute_0_1031,plain,
( composition(join(one,one),complement(composition(join(one,one),X_129))) != complement(X_129)
| meet(X_129,composition(join(one,one),complement(composition(join(one,one),X_129)))) = meet(X_129,complement(X_129)) ),
inference(resolve,[$cnf( $equal(meet(X_129,composition(join(one,one),complement(composition(join(one,one),X_129)))),meet(X_129,composition(join(one,one),complement(composition(join(one,one),X_129))))) )],[refute_0_1029,refute_0_1030]) ).
cnf(refute_0_1032,plain,
meet(X_129,composition(join(one,one),complement(composition(join(one,one),X_129)))) = meet(X_129,complement(X_129)),
inference(resolve,[$cnf( $equal(composition(join(one,one),complement(composition(join(one,one),X_129))),complement(X_129)) )],[refute_0_1028,refute_0_1031]) ).
cnf(refute_0_1033,plain,
( meet(X_129,complement(X_129)) != zero
| meet(X_129,composition(join(one,one),complement(composition(join(one,one),X_129)))) != meet(X_129,complement(X_129))
| meet(X_129,composition(join(one,one),complement(composition(join(one,one),X_129)))) = zero ),
inference(subst,[],[refute_0_71:[bind(X,$fot(meet(X_129,composition(join(one,one),complement(composition(join(one,one),X_129)))))),bind(Y,$fot(meet(X_129,complement(X_129)))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_1034,plain,
( meet(X_129,complement(X_129)) != zero
| meet(X_129,composition(join(one,one),complement(composition(join(one,one),X_129)))) = zero ),
inference(resolve,[$cnf( $equal(meet(X_129,composition(join(one,one),complement(composition(join(one,one),X_129)))),meet(X_129,complement(X_129))) )],[refute_0_1032,refute_0_1033]) ).
cnf(refute_0_1035,plain,
meet(X_129,composition(join(one,one),complement(composition(join(one,one),X_129)))) = zero,
inference(resolve,[$cnf( $equal(meet(X_129,complement(X_129)),zero) )],[refute_0_820,refute_0_1034]) ).
cnf(refute_0_1036,plain,
join(X_128,meet(X_129,composition(join(one,one),complement(composition(join(one,one),X_129))))) = join(X_128,meet(X_129,composition(join(one,one),complement(composition(join(one,one),X_129))))),
introduced(tautology,[refl,[$fot(join(X_128,meet(X_129,composition(join(one,one),complement(composition(join(one,one),X_129))))))]]) ).
cnf(refute_0_1037,plain,
( join(X_128,meet(X_129,composition(join(one,one),complement(composition(join(one,one),X_129))))) != join(X_128,meet(X_129,composition(join(one,one),complement(composition(join(one,one),X_129)))))
| meet(X_129,composition(join(one,one),complement(composition(join(one,one),X_129)))) != zero
| join(X_128,meet(X_129,composition(join(one,one),complement(composition(join(one,one),X_129))))) = join(X_128,zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_128,meet(X_129,composition(join(one,one),complement(composition(join(one,one),X_129))))),join(X_128,meet(X_129,composition(join(one,one),complement(composition(join(one,one),X_129)))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_1038,plain,
( meet(X_129,composition(join(one,one),complement(composition(join(one,one),X_129)))) != zero
| join(X_128,meet(X_129,composition(join(one,one),complement(composition(join(one,one),X_129))))) = join(X_128,zero) ),
inference(resolve,[$cnf( $equal(join(X_128,meet(X_129,composition(join(one,one),complement(composition(join(one,one),X_129))))),join(X_128,meet(X_129,composition(join(one,one),complement(composition(join(one,one),X_129)))))) )],[refute_0_1036,refute_0_1037]) ).
cnf(refute_0_1039,plain,
join(X_128,meet(X_129,composition(join(one,one),complement(composition(join(one,one),X_129))))) = join(X_128,zero),
inference(resolve,[$cnf( $equal(meet(X_129,composition(join(one,one),complement(composition(join(one,one),X_129)))),zero) )],[refute_0_1035,refute_0_1038]) ).
cnf(refute_0_1040,plain,
( join(X_128,meet(X_129,composition(join(one,one),complement(composition(join(one,one),X_129))))) != join(X_128,zero)
| join(X_128,zero) != X_128
| join(X_128,meet(X_129,composition(join(one,one),complement(composition(join(one,one),X_129))))) = X_128 ),
inference(subst,[],[refute_0_71:[bind(X,$fot(join(X_128,meet(X_129,composition(join(one,one),complement(composition(join(one,one),X_129))))))),bind(Y,$fot(join(X_128,zero))),bind(Z,$fot(X_128))]]) ).
cnf(refute_0_1041,plain,
( join(X_128,zero) != X_128
| join(X_128,meet(X_129,composition(join(one,one),complement(composition(join(one,one),X_129))))) = X_128 ),
inference(resolve,[$cnf( $equal(join(X_128,meet(X_129,composition(join(one,one),complement(composition(join(one,one),X_129))))),join(X_128,zero)) )],[refute_0_1039,refute_0_1040]) ).
cnf(refute_0_1042,plain,
join(X_128,meet(X_129,composition(join(one,one),complement(composition(join(one,one),X_129))))) = X_128,
inference(resolve,[$cnf( $equal(join(X_128,zero),X_128) )],[refute_0_817,refute_0_1041]) ).
cnf(refute_0_1043,plain,
join(X_129,join(X_128,meet(X_129,composition(join(one,one),complement(composition(join(one,one),X_129)))))) = join(X_129,join(X_128,meet(X_129,composition(join(one,one),complement(composition(join(one,one),X_129)))))),
introduced(tautology,[refl,[$fot(join(X_129,join(X_128,meet(X_129,composition(join(one,one),complement(composition(join(one,one),X_129)))))))]]) ).
cnf(refute_0_1044,plain,
( join(X_128,meet(X_129,composition(join(one,one),complement(composition(join(one,one),X_129))))) != X_128
| join(X_129,join(X_128,meet(X_129,composition(join(one,one),complement(composition(join(one,one),X_129)))))) != join(X_129,join(X_128,meet(X_129,composition(join(one,one),complement(composition(join(one,one),X_129))))))
| join(X_129,join(X_128,meet(X_129,composition(join(one,one),complement(composition(join(one,one),X_129)))))) = join(X_129,X_128) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_129,join(X_128,meet(X_129,composition(join(one,one),complement(composition(join(one,one),X_129)))))),join(X_129,join(X_128,meet(X_129,composition(join(one,one),complement(composition(join(one,one),X_129))))))) ),[1,1],$fot(X_128)]]) ).
cnf(refute_0_1045,plain,
( join(X_128,meet(X_129,composition(join(one,one),complement(composition(join(one,one),X_129))))) != X_128
| join(X_129,join(X_128,meet(X_129,composition(join(one,one),complement(composition(join(one,one),X_129)))))) = join(X_129,X_128) ),
inference(resolve,[$cnf( $equal(join(X_129,join(X_128,meet(X_129,composition(join(one,one),complement(composition(join(one,one),X_129)))))),join(X_129,join(X_128,meet(X_129,composition(join(one,one),complement(composition(join(one,one),X_129))))))) )],[refute_0_1043,refute_0_1044]) ).
cnf(refute_0_1046,plain,
join(X_129,join(X_128,meet(X_129,composition(join(one,one),complement(composition(join(one,one),X_129)))))) = join(X_129,X_128),
inference(resolve,[$cnf( $equal(join(X_128,meet(X_129,composition(join(one,one),complement(composition(join(one,one),X_129))))),X_128) )],[refute_0_1042,refute_0_1045]) ).
cnf(refute_0_1047,plain,
( join(X_128,X_129) != join(X_129,join(X_128,meet(X_129,composition(join(one,one),complement(composition(join(one,one),X_129))))))
| join(X_129,join(X_128,meet(X_129,composition(join(one,one),complement(composition(join(one,one),X_129)))))) != join(X_129,X_128)
| join(X_128,X_129) = join(X_129,X_128) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_128,X_129),join(X_129,X_128)) ),[0],$fot(join(X_129,join(X_128,meet(X_129,composition(join(one,one),complement(composition(join(one,one),X_129)))))))]]) ).
cnf(refute_0_1048,plain,
( join(X_128,X_129) != join(X_129,join(X_128,meet(X_129,composition(join(one,one),complement(composition(join(one,one),X_129))))))
| join(X_128,X_129) = join(X_129,X_128) ),
inference(resolve,[$cnf( $equal(join(X_129,join(X_128,meet(X_129,composition(join(one,one),complement(composition(join(one,one),X_129)))))),join(X_129,X_128)) )],[refute_0_1046,refute_0_1047]) ).
cnf(refute_0_1049,plain,
join(X_128,X_129) = join(X_129,X_128),
inference(resolve,[$cnf( $equal(join(X_128,X_129),join(X_129,join(X_128,meet(X_129,composition(join(one,one),complement(composition(join(one,one),X_129))))))) )],[refute_0_795,refute_0_1048]) ).
cnf(refute_0_1050,plain,
( join(X_128,X_129) != join(X_129,X_128)
| join(X_129,X_128) = join(X_128,X_129) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(X_128,X_129))),bind(Y,$fot(join(X_129,X_128)))]]) ).
cnf(refute_0_1051,plain,
join(X_129,X_128) = join(X_128,X_129),
inference(resolve,[$cnf( $equal(join(X_128,X_129),join(X_129,X_128)) )],[refute_0_1049,refute_0_1050]) ).
cnf(refute_0_1052,plain,
join(complement(converse(complement(X_85))),complement(converse(X_85))) = join(complement(converse(X_85)),complement(converse(complement(X_85)))),
inference(subst,[],[refute_0_1051:[bind(X_128,$fot(complement(converse(X_85)))),bind(X_129,$fot(complement(converse(complement(X_85)))))]]) ).
cnf(refute_0_1053,plain,
( join(complement(converse(X_85)),complement(converse(complement(X_85)))) != complement(meet(converse(X_85),converse(complement(X_85))))
| join(complement(converse(complement(X_85))),complement(converse(X_85))) != join(complement(converse(X_85)),complement(converse(complement(X_85))))
| join(complement(converse(complement(X_85))),complement(converse(X_85))) = complement(meet(converse(X_85),converse(complement(X_85)))) ),
inference(subst,[],[refute_0_71:[bind(X,$fot(join(complement(converse(complement(X_85))),complement(converse(X_85))))),bind(Y,$fot(join(complement(converse(X_85)),complement(converse(complement(X_85)))))),bind(Z,$fot(complement(meet(converse(X_85),converse(complement(X_85))))))]]) ).
cnf(refute_0_1054,plain,
( join(complement(converse(X_85)),complement(converse(complement(X_85)))) != complement(meet(converse(X_85),converse(complement(X_85))))
| join(complement(converse(complement(X_85))),complement(converse(X_85))) = complement(meet(converse(X_85),converse(complement(X_85)))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(X_85))),complement(converse(X_85))),join(complement(converse(X_85)),complement(converse(complement(X_85))))) )],[refute_0_1052,refute_0_1053]) ).
cnf(refute_0_1055,plain,
join(complement(converse(complement(X_85))),complement(converse(X_85))) = complement(meet(converse(X_85),converse(complement(X_85)))),
inference(resolve,[$cnf( $equal(join(complement(converse(X_85)),complement(converse(complement(X_85)))),complement(meet(converse(X_85),converse(complement(X_85))))) )],[refute_0_757,refute_0_1054]) ).
cnf(refute_0_1056,plain,
converse(converse(complement(converse(X_85)))) = complement(converse(X_85)),
inference(subst,[],[refute_0_35:[bind(X0,$fot(complement(converse(X_85))))]]) ).
cnf(refute_0_1057,plain,
join(complement(converse(complement(X_85))),converse(converse(complement(converse(X_85))))) = join(complement(converse(complement(X_85))),converse(converse(complement(converse(X_85))))),
introduced(tautology,[refl,[$fot(join(complement(converse(complement(X_85))),converse(converse(complement(converse(X_85))))))]]) ).
cnf(refute_0_1058,plain,
( converse(converse(complement(converse(X_85)))) != complement(converse(X_85))
| join(complement(converse(complement(X_85))),converse(converse(complement(converse(X_85))))) != join(complement(converse(complement(X_85))),converse(converse(complement(converse(X_85)))))
| join(complement(converse(complement(X_85))),converse(converse(complement(converse(X_85))))) = join(complement(converse(complement(X_85))),complement(converse(X_85))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(complement(X_85))),converse(converse(complement(converse(X_85))))),join(complement(converse(complement(X_85))),converse(converse(complement(converse(X_85)))))) ),[1,1],$fot(complement(converse(X_85)))]]) ).
cnf(refute_0_1059,plain,
( converse(converse(complement(converse(X_85)))) != complement(converse(X_85))
| join(complement(converse(complement(X_85))),converse(converse(complement(converse(X_85))))) = join(complement(converse(complement(X_85))),complement(converse(X_85))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(X_85))),converse(converse(complement(converse(X_85))))),join(complement(converse(complement(X_85))),converse(converse(complement(converse(X_85)))))) )],[refute_0_1057,refute_0_1058]) ).
cnf(refute_0_1060,plain,
join(complement(converse(complement(X_85))),converse(converse(complement(converse(X_85))))) = join(complement(converse(complement(X_85))),complement(converse(X_85))),
inference(resolve,[$cnf( $equal(converse(converse(complement(converse(X_85)))),complement(converse(X_85))) )],[refute_0_1056,refute_0_1059]) ).
cnf(refute_0_1061,plain,
( join(complement(converse(complement(X_85))),complement(converse(X_85))) != complement(meet(converse(X_85),converse(complement(X_85))))
| join(complement(converse(complement(X_85))),converse(converse(complement(converse(X_85))))) != join(complement(converse(complement(X_85))),complement(converse(X_85)))
| join(complement(converse(complement(X_85))),converse(converse(complement(converse(X_85))))) = complement(meet(converse(X_85),converse(complement(X_85)))) ),
inference(subst,[],[refute_0_71:[bind(X,$fot(join(complement(converse(complement(X_85))),converse(converse(complement(converse(X_85))))))),bind(Y,$fot(join(complement(converse(complement(X_85))),complement(converse(X_85))))),bind(Z,$fot(complement(meet(converse(X_85),converse(complement(X_85))))))]]) ).
cnf(refute_0_1062,plain,
( join(complement(converse(complement(X_85))),complement(converse(X_85))) != complement(meet(converse(X_85),converse(complement(X_85))))
| join(complement(converse(complement(X_85))),converse(converse(complement(converse(X_85))))) = complement(meet(converse(X_85),converse(complement(X_85)))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(X_85))),converse(converse(complement(converse(X_85))))),join(complement(converse(complement(X_85))),complement(converse(X_85)))) )],[refute_0_1060,refute_0_1061]) ).
cnf(refute_0_1063,plain,
join(complement(converse(complement(X_85))),converse(converse(complement(converse(X_85))))) = complement(meet(converse(X_85),converse(complement(X_85)))),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(X_85))),complement(converse(X_85))),complement(meet(converse(X_85),converse(complement(X_85))))) )],[refute_0_1055,refute_0_1062]) ).
cnf(refute_0_1064,plain,
join(converse(converse(complement(converse(X_85)))),complement(converse(complement(X_85)))) = join(complement(converse(complement(X_85))),converse(converse(complement(converse(X_85))))),
inference(subst,[],[refute_0_1051:[bind(X_128,$fot(complement(converse(complement(X_85))))),bind(X_129,$fot(converse(converse(complement(converse(X_85))))))]]) ).
cnf(refute_0_1065,plain,
( join(complement(converse(complement(X_85))),converse(converse(complement(converse(X_85))))) != complement(meet(converse(X_85),converse(complement(X_85))))
| join(converse(converse(complement(converse(X_85)))),complement(converse(complement(X_85)))) != join(complement(converse(complement(X_85))),converse(converse(complement(converse(X_85)))))
| join(converse(converse(complement(converse(X_85)))),complement(converse(complement(X_85)))) = complement(meet(converse(X_85),converse(complement(X_85)))) ),
inference(subst,[],[refute_0_71:[bind(X,$fot(join(converse(converse(complement(converse(X_85)))),complement(converse(complement(X_85)))))),bind(Y,$fot(join(complement(converse(complement(X_85))),converse(converse(complement(converse(X_85))))))),bind(Z,$fot(complement(meet(converse(X_85),converse(complement(X_85))))))]]) ).
cnf(refute_0_1066,plain,
( join(complement(converse(complement(X_85))),converse(converse(complement(converse(X_85))))) != complement(meet(converse(X_85),converse(complement(X_85))))
| join(converse(converse(complement(converse(X_85)))),complement(converse(complement(X_85)))) = complement(meet(converse(X_85),converse(complement(X_85)))) ),
inference(resolve,[$cnf( $equal(join(converse(converse(complement(converse(X_85)))),complement(converse(complement(X_85)))),join(complement(converse(complement(X_85))),converse(converse(complement(converse(X_85)))))) )],[refute_0_1064,refute_0_1065]) ).
cnf(refute_0_1067,plain,
join(converse(converse(complement(converse(X_85)))),complement(converse(complement(X_85)))) = complement(meet(converse(X_85),converse(complement(X_85)))),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(X_85))),converse(converse(complement(converse(X_85))))),complement(meet(converse(X_85),converse(complement(X_85))))) )],[refute_0_1063,refute_0_1066]) ).
cnf(refute_0_1068,plain,
( join(converse(converse(complement(converse(X_85)))),complement(converse(complement(X_85)))) != complement(meet(converse(X_85),converse(complement(X_85))))
| join(converse(converse(complement(converse(X_85)))),complement(converse(complement(X_85)))) != top
| complement(meet(converse(X_85),converse(complement(X_85)))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(converse(complement(converse(X_85)))),complement(converse(complement(X_85)))),top) ),[0],$fot(complement(meet(converse(X_85),converse(complement(X_85)))))]]) ).
cnf(refute_0_1069,plain,
( join(converse(converse(complement(converse(X_85)))),complement(converse(complement(X_85)))) != top
| complement(meet(converse(X_85),converse(complement(X_85)))) = top ),
inference(resolve,[$cnf( $equal(join(converse(converse(complement(converse(X_85)))),complement(converse(complement(X_85)))),complement(meet(converse(X_85),converse(complement(X_85))))) )],[refute_0_1067,refute_0_1068]) ).
cnf(refute_0_1070,plain,
complement(meet(converse(X_85),converse(complement(X_85)))) = top,
inference(resolve,[$cnf( $equal(join(converse(converse(complement(converse(X_85)))),complement(converse(complement(X_85)))),top) )],[refute_0_663,refute_0_1069]) ).
cnf(refute_0_1071,plain,
complement(meet(converse(X_170),converse(complement(X_170)))) = top,
inference(subst,[],[refute_0_1070:[bind(X_85,$fot(X_170))]]) ).
cnf(refute_0_1072,plain,
( complement(meet(converse(X_170),converse(complement(X_170)))) != top
| meet(converse(X_170),converse(complement(X_170))) != complement(complement(meet(converse(X_170),converse(complement(X_170)))))
| meet(converse(X_170),converse(complement(X_170))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(X_170),converse(complement(X_170))),complement(complement(meet(converse(X_170),converse(complement(X_170)))))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_1073,plain,
( meet(converse(X_170),converse(complement(X_170))) != complement(complement(meet(converse(X_170),converse(complement(X_170)))))
| meet(converse(X_170),converse(complement(X_170))) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(meet(converse(X_170),converse(complement(X_170)))),top) )],[refute_0_1071,refute_0_1072]) ).
cnf(refute_0_1074,plain,
meet(converse(X_170),converse(complement(X_170))) = complement(top),
inference(resolve,[$cnf( $equal(meet(converse(X_170),converse(complement(X_170))),complement(complement(meet(converse(X_170),converse(complement(X_170)))))) )],[refute_0_459,refute_0_1073]) ).
cnf(refute_0_1075,plain,
( complement(top) != zero
| meet(converse(X_170),converse(complement(X_170))) != complement(top)
| meet(converse(X_170),converse(complement(X_170))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(converse(X_170),converse(complement(X_170))),complement(top)) ),[1],$fot(zero)]]) ).
cnf(refute_0_1076,plain,
( meet(converse(X_170),converse(complement(X_170))) != complement(top)
| meet(converse(X_170),converse(complement(X_170))) = zero ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_125,refute_0_1075]) ).
cnf(refute_0_1077,plain,
meet(converse(X_170),converse(complement(X_170))) = zero,
inference(resolve,[$cnf( $equal(meet(converse(X_170),converse(complement(X_170))),complement(top)) )],[refute_0_1074,refute_0_1076]) ).
cnf(refute_0_1078,plain,
meet(converse(X_275),converse(complement(X_275))) = zero,
inference(subst,[],[refute_0_1077:[bind(X_170,$fot(X_275))]]) ).
cnf(refute_0_1079,plain,
( converse(complement(X_275)) != join(meet(converse(X_275),converse(complement(X_275))),meet(complement(converse(X_275)),converse(complement(X_275))))
| meet(converse(X_275),converse(complement(X_275))) != zero
| converse(complement(X_275)) = join(zero,meet(complement(converse(X_275)),converse(complement(X_275)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(X_275)),join(meet(converse(X_275),converse(complement(X_275))),meet(complement(converse(X_275)),converse(complement(X_275))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_1080,plain,
( converse(complement(X_275)) != join(meet(converse(X_275),converse(complement(X_275))),meet(complement(converse(X_275)),converse(complement(X_275))))
| converse(complement(X_275)) = join(zero,meet(complement(converse(X_275)),converse(complement(X_275)))) ),
inference(resolve,[$cnf( $equal(meet(converse(X_275),converse(complement(X_275))),zero) )],[refute_0_1078,refute_0_1079]) ).
cnf(refute_0_1081,plain,
converse(complement(X_275)) = join(zero,meet(complement(converse(X_275)),converse(complement(X_275)))),
inference(resolve,[$cnf( $equal(converse(complement(X_275)),join(meet(converse(X_275),converse(complement(X_275))),meet(complement(converse(X_275)),converse(complement(X_275))))) )],[refute_0_446,refute_0_1080]) ).
cnf(refute_0_1082,plain,
complement(converse(X0)) = meet(complement(converse(X0)),converse(complement(converse(converse(X0))))),
inference(subst,[],[refute_0_658:[bind(X_85,$fot(converse(X0)))]]) ).
cnf(refute_0_1083,plain,
( complement(converse(X0)) != meet(complement(converse(X0)),converse(complement(converse(converse(X0)))))
| converse(converse(X0)) != X0
| complement(converse(X0)) = meet(complement(converse(X0)),converse(complement(X0))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(X0)),meet(complement(converse(X0)),converse(complement(converse(converse(X0)))))) ),[1,1,0,0],$fot(X0)]]) ).
cnf(refute_0_1084,plain,
( complement(converse(X0)) != meet(complement(converse(X0)),converse(complement(converse(converse(X0)))))
| complement(converse(X0)) = meet(complement(converse(X0)),converse(complement(X0))) ),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_0_35,refute_0_1083]) ).
cnf(refute_0_1085,plain,
complement(converse(X0)) = meet(complement(converse(X0)),converse(complement(X0))),
inference(resolve,[$cnf( $equal(complement(converse(X0)),meet(complement(converse(X0)),converse(complement(converse(converse(X0)))))) )],[refute_0_1082,refute_0_1084]) ).
cnf(refute_0_1086,plain,
( complement(converse(X0)) != meet(complement(converse(X0)),converse(complement(X0)))
| meet(complement(converse(X0)),converse(complement(X0))) = complement(converse(X0)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(complement(converse(X0)))),bind(Y,$fot(meet(complement(converse(X0)),converse(complement(X0)))))]]) ).
cnf(refute_0_1087,plain,
meet(complement(converse(X0)),converse(complement(X0))) = complement(converse(X0)),
inference(resolve,[$cnf( $equal(complement(converse(X0)),meet(complement(converse(X0)),converse(complement(X0)))) )],[refute_0_1085,refute_0_1086]) ).
cnf(refute_0_1088,plain,
meet(complement(converse(X_275)),converse(complement(X_275))) = complement(converse(X_275)),
inference(subst,[],[refute_0_1087:[bind(X0,$fot(X_275))]]) ).
cnf(refute_0_1089,plain,
join(zero,meet(complement(converse(X_275)),converse(complement(X_275)))) = meet(complement(converse(X_275)),converse(complement(X_275))),
inference(subst,[],[refute_0_396:[bind(X_75,$fot(meet(complement(converse(X_275)),converse(complement(X_275)))))]]) ).
cnf(refute_0_1090,plain,
( join(zero,meet(complement(converse(X_275)),converse(complement(X_275)))) != meet(complement(converse(X_275)),converse(complement(X_275)))
| meet(complement(converse(X_275)),converse(complement(X_275))) != complement(converse(X_275))
| join(zero,meet(complement(converse(X_275)),converse(complement(X_275)))) = complement(converse(X_275)) ),
inference(subst,[],[refute_0_71:[bind(X,$fot(join(zero,meet(complement(converse(X_275)),converse(complement(X_275)))))),bind(Y,$fot(meet(complement(converse(X_275)),converse(complement(X_275))))),bind(Z,$fot(complement(converse(X_275))))]]) ).
cnf(refute_0_1091,plain,
( meet(complement(converse(X_275)),converse(complement(X_275))) != complement(converse(X_275))
| join(zero,meet(complement(converse(X_275)),converse(complement(X_275)))) = complement(converse(X_275)) ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(converse(X_275)),converse(complement(X_275)))),meet(complement(converse(X_275)),converse(complement(X_275)))) )],[refute_0_1089,refute_0_1090]) ).
cnf(refute_0_1092,plain,
join(zero,meet(complement(converse(X_275)),converse(complement(X_275)))) = complement(converse(X_275)),
inference(resolve,[$cnf( $equal(meet(complement(converse(X_275)),converse(complement(X_275))),complement(converse(X_275))) )],[refute_0_1088,refute_0_1091]) ).
cnf(refute_0_1093,plain,
( converse(complement(X_275)) != join(zero,meet(complement(converse(X_275)),converse(complement(X_275))))
| join(zero,meet(complement(converse(X_275)),converse(complement(X_275)))) != complement(converse(X_275))
| converse(complement(X_275)) = complement(converse(X_275)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(complement(X_275)),complement(converse(X_275))) ),[0],$fot(join(zero,meet(complement(converse(X_275)),converse(complement(X_275)))))]]) ).
cnf(refute_0_1094,plain,
( converse(complement(X_275)) != join(zero,meet(complement(converse(X_275)),converse(complement(X_275))))
| converse(complement(X_275)) = complement(converse(X_275)) ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(converse(X_275)),converse(complement(X_275)))),complement(converse(X_275))) )],[refute_0_1092,refute_0_1093]) ).
cnf(refute_0_1095,plain,
converse(complement(X_275)) = complement(converse(X_275)),
inference(resolve,[$cnf( $equal(converse(complement(X_275)),join(zero,meet(complement(converse(X_275)),converse(complement(X_275))))) )],[refute_0_1081,refute_0_1094]) ).
cnf(refute_0_1096,plain,
converse(complement(X_276)) = complement(converse(X_276)),
inference(subst,[],[refute_0_1095:[bind(X_275,$fot(X_276))]]) ).
cnf(refute_0_1097,plain,
( converse(complement(X_276)) != complement(converse(X_276))
| converse(composition(X_17,converse(complement(X_276)))) != composition(complement(X_276),converse(X_17))
| converse(composition(X_17,complement(converse(X_276)))) = composition(complement(X_276),converse(X_17)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(X_17,converse(complement(X_276)))),composition(complement(X_276),converse(X_17))) ),[0,0,1],$fot(complement(converse(X_276)))]]) ).
cnf(refute_0_1098,plain,
( converse(composition(X_17,converse(complement(X_276)))) != composition(complement(X_276),converse(X_17))
| converse(composition(X_17,complement(converse(X_276)))) = composition(complement(X_276),converse(X_17)) ),
inference(resolve,[$cnf( $equal(converse(complement(X_276)),complement(converse(X_276))) )],[refute_0_1096,refute_0_1097]) ).
cnf(refute_0_1099,plain,
converse(composition(X_17,complement(converse(X_276)))) = composition(complement(X_276),converse(X_17)),
inference(resolve,[$cnf( $equal(converse(composition(X_17,converse(complement(X_276)))),composition(complement(X_276),converse(X_17))) )],[refute_0_56,refute_0_1098]) ).
cnf(refute_0_1100,plain,
converse(composition(X_427,complement(converse(composition(X_426,X_427))))) = composition(complement(composition(X_426,X_427)),converse(X_427)),
inference(subst,[],[refute_0_1099:[bind(X_17,$fot(X_427)),bind(X_276,$fot(composition(X_426,X_427)))]]) ).
cnf(refute_0_1101,plain,
join(complement(X_426),converse(composition(X_427,complement(converse(composition(X_426,X_427)))))) = join(complement(X_426),converse(composition(X_427,complement(converse(composition(X_426,X_427)))))),
introduced(tautology,[refl,[$fot(join(complement(X_426),converse(composition(X_427,complement(converse(composition(X_426,X_427)))))))]]) ).
cnf(refute_0_1102,plain,
( converse(composition(X_427,complement(converse(composition(X_426,X_427))))) != composition(complement(composition(X_426,X_427)),converse(X_427))
| join(complement(X_426),converse(composition(X_427,complement(converse(composition(X_426,X_427)))))) != join(complement(X_426),converse(composition(X_427,complement(converse(composition(X_426,X_427))))))
| join(complement(X_426),converse(composition(X_427,complement(converse(composition(X_426,X_427)))))) = join(complement(X_426),composition(complement(composition(X_426,X_427)),converse(X_427))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_426),converse(composition(X_427,complement(converse(composition(X_426,X_427)))))),join(complement(X_426),converse(composition(X_427,complement(converse(composition(X_426,X_427))))))) ),[1,1],$fot(composition(complement(composition(X_426,X_427)),converse(X_427)))]]) ).
cnf(refute_0_1103,plain,
( converse(composition(X_427,complement(converse(composition(X_426,X_427))))) != composition(complement(composition(X_426,X_427)),converse(X_427))
| join(complement(X_426),converse(composition(X_427,complement(converse(composition(X_426,X_427)))))) = join(complement(X_426),composition(complement(composition(X_426,X_427)),converse(X_427))) ),
inference(resolve,[$cnf( $equal(join(complement(X_426),converse(composition(X_427,complement(converse(composition(X_426,X_427)))))),join(complement(X_426),converse(composition(X_427,complement(converse(composition(X_426,X_427))))))) )],[refute_0_1101,refute_0_1102]) ).
cnf(refute_0_1104,plain,
join(complement(X_426),converse(composition(X_427,complement(converse(composition(X_426,X_427)))))) = join(complement(X_426),composition(complement(composition(X_426,X_427)),converse(X_427))),
inference(resolve,[$cnf( $equal(converse(composition(X_427,complement(converse(composition(X_426,X_427))))),composition(complement(composition(X_426,X_427)),converse(X_427))) )],[refute_0_1100,refute_0_1103]) ).
cnf(refute_0_1105,plain,
converse(join(X0,join(X_7,converse(X_6)))) = join(converse(X0),converse(join(X_7,converse(X_6)))),
inference(subst,[],[refute_0_11:[bind(X1,$fot(join(X_7,converse(X_6))))]]) ).
cnf(refute_0_1106,plain,
converse(join(X_7,converse(X_6))) = join(converse(X_7),X_6),
inference(subst,[],[refute_0_231:[bind(X0,$fot(X_6)),bind(X_4,$fot(X_7))]]) ).
cnf(refute_0_1107,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_1108,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( $equal(converse(join(X_7,converse(X_6))),join(converse(X_7),X_6)) )],[refute_0_1106,refute_0_1107]) ).
cnf(refute_0_1109,plain,
converse(join(X0,join(X_7,converse(X_6)))) = join(converse(X0),join(converse(X_7),X_6)),
inference(resolve,[$cnf( $equal(converse(join(X0,join(X_7,converse(X_6)))),join(converse(X0),converse(join(X_7,converse(X_6))))) )],[refute_0_1105,refute_0_1108]) ).
cnf(refute_0_1110,plain,
converse(join(join(X_44,X_45),converse(X0))) = join(converse(join(X_44,X_45)),X0),
inference(subst,[],[refute_0_231:[bind(X_4,$fot(join(X_44,X_45)))]]) ).
cnf(refute_0_1111,plain,
join(X_44,join(X_45,converse(X0))) = join(join(X_44,X_45),converse(X0)),
inference(subst,[],[refute_0_135:[bind(X0,$fot(X_44)),bind(X1,$fot(X_45)),bind(X2,$fot(converse(X0)))]]) ).
cnf(refute_0_1112,plain,
( join(X_44,join(X_45,converse(X0))) != join(join(X_44,X_45),converse(X0))
| join(join(X_44,X_45),converse(X0)) = join(X_44,join(X_45,converse(X0))) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(X_44,join(X_45,converse(X0))))),bind(Y,$fot(join(join(X_44,X_45),converse(X0))))]]) ).
cnf(refute_0_1113,plain,
join(join(X_44,X_45),converse(X0)) = join(X_44,join(X_45,converse(X0))),
inference(resolve,[$cnf( $equal(join(X_44,join(X_45,converse(X0))),join(join(X_44,X_45),converse(X0))) )],[refute_0_1111,refute_0_1112]) ).
cnf(refute_0_1114,plain,
( converse(join(join(X_44,X_45),converse(X0))) != join(converse(join(X_44,X_45)),X0)
| join(join(X_44,X_45),converse(X0)) != join(X_44,join(X_45,converse(X0)))
| converse(join(X_44,join(X_45,converse(X0)))) = join(converse(join(X_44,X_45)),X0) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(join(X_44,X_45),converse(X0))),join(converse(join(X_44,X_45)),X0)) ),[0,0],$fot(join(X_44,join(X_45,converse(X0))))]]) ).
cnf(refute_0_1115,plain,
( converse(join(join(X_44,X_45),converse(X0))) != join(converse(join(X_44,X_45)),X0)
| converse(join(X_44,join(X_45,converse(X0)))) = join(converse(join(X_44,X_45)),X0) ),
inference(resolve,[$cnf( $equal(join(join(X_44,X_45),converse(X0)),join(X_44,join(X_45,converse(X0)))) )],[refute_0_1113,refute_0_1114]) ).
cnf(refute_0_1116,plain,
converse(join(X_44,join(X_45,converse(X0)))) = join(converse(join(X_44,X_45)),X0),
inference(resolve,[$cnf( $equal(converse(join(join(X_44,X_45),converse(X0))),join(converse(join(X_44,X_45)),X0)) )],[refute_0_1110,refute_0_1115]) ).
cnf(refute_0_1117,plain,
converse(join(X0,join(X_7,converse(X_6)))) = join(converse(join(X0,X_7)),X_6),
inference(subst,[],[refute_0_1116:[bind(X0,$fot(X_6)),bind(X_44,$fot(X0)),bind(X_45,$fot(X_7))]]) ).
cnf(refute_0_1118,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_1119,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( $equal(converse(join(X0,join(X_7,converse(X_6)))),join(converse(join(X0,X_7)),X_6)) )],[refute_0_1117,refute_0_1118]) ).
cnf(refute_0_1120,plain,
join(converse(join(X0,X_7)),X_6) = join(converse(X0),join(converse(X_7),X_6)),
inference(resolve,[$cnf( $equal(converse(join(X0,join(X_7,converse(X_6)))),join(converse(X0),join(converse(X_7),X_6))) )],[refute_0_1109,refute_0_1119]) ).
cnf(refute_0_1121,plain,
join(converse(join(X0,composition(complement(composition(top,complement(one))),composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one)))))))),X_6) = join(converse(X0),join(converse(composition(complement(composition(top,complement(one))),composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one))))))),X_6)),
inference(subst,[],[refute_0_1120:[bind(X_7,$fot(composition(complement(composition(top,complement(one))),composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one))))))))]]) ).
cnf(refute_0_1122,plain,
join(complement(top),composition(converse(X_50),complement(composition(X_50,top)))) = complement(top),
inference(subst,[],[refute_0_27:[bind(X0,$fot(X_50)),bind(X1,$fot(top))]]) ).
cnf(refute_0_1123,plain,
( complement(top) != zero
| join(complement(top),composition(converse(X_50),complement(composition(X_50,top)))) != complement(top)
| join(zero,composition(converse(X_50),complement(composition(X_50,top)))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),composition(converse(X_50),complement(composition(X_50,top)))),complement(top)) ),[0,0],$fot(zero)]]) ).
cnf(refute_0_1124,plain,
( join(complement(top),composition(converse(X_50),complement(composition(X_50,top)))) != complement(top)
| join(zero,composition(converse(X_50),complement(composition(X_50,top)))) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_125,refute_0_1123]) ).
cnf(refute_0_1125,plain,
join(zero,composition(converse(X_50),complement(composition(X_50,top)))) = complement(top),
inference(resolve,[$cnf( $equal(join(complement(top),composition(converse(X_50),complement(composition(X_50,top)))),complement(top)) )],[refute_0_1122,refute_0_1124]) ).
cnf(refute_0_1126,plain,
( complement(top) != zero
| join(zero,composition(converse(X_50),complement(composition(X_50,top)))) != complement(top)
| join(zero,composition(converse(X_50),complement(composition(X_50,top)))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,composition(converse(X_50),complement(composition(X_50,top)))),complement(top)) ),[1],$fot(zero)]]) ).
cnf(refute_0_1127,plain,
( join(zero,composition(converse(X_50),complement(composition(X_50,top)))) != complement(top)
| join(zero,composition(converse(X_50),complement(composition(X_50,top)))) = zero ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_125,refute_0_1126]) ).
cnf(refute_0_1128,plain,
join(zero,composition(converse(X_50),complement(composition(X_50,top)))) = zero,
inference(resolve,[$cnf( $equal(join(zero,composition(converse(X_50),complement(composition(X_50,top)))),complement(top)) )],[refute_0_1125,refute_0_1127]) ).
cnf(refute_0_1129,plain,
join(zero,composition(converse(join(X1,X0)),complement(composition(join(X1,X0),top)))) = zero,
inference(subst,[],[refute_0_1128:[bind(X_50,$fot(join(X1,X0)))]]) ).
cnf(refute_0_1130,plain,
( converse(join(X0,X1)) != converse(join(X1,X0))
| converse(join(X1,X0)) = converse(join(X0,X1)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(converse(join(X0,X1)))),bind(Y,$fot(converse(join(X1,X0))))]]) ).
cnf(refute_0_1131,plain,
converse(join(X1,X0)) = converse(join(X0,X1)),
inference(resolve,[$cnf( $equal(converse(join(X0,X1)),converse(join(X1,X0))) )],[refute_0_21,refute_0_1130]) ).
cnf(refute_0_1132,plain,
( converse(join(X1,X0)) != converse(join(X0,X1))
| join(zero,composition(converse(join(X1,X0)),complement(composition(join(X1,X0),top)))) != zero
| join(zero,composition(converse(join(X0,X1)),complement(composition(join(X1,X0),top)))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,composition(converse(join(X1,X0)),complement(composition(join(X1,X0),top)))),zero) ),[0,1,0],$fot(converse(join(X0,X1)))]]) ).
cnf(refute_0_1133,plain,
( join(zero,composition(converse(join(X1,X0)),complement(composition(join(X1,X0),top)))) != zero
| join(zero,composition(converse(join(X0,X1)),complement(composition(join(X1,X0),top)))) = zero ),
inference(resolve,[$cnf( $equal(converse(join(X1,X0)),converse(join(X0,X1))) )],[refute_0_1131,refute_0_1132]) ).
cnf(refute_0_1134,plain,
join(zero,composition(converse(join(X0,X1)),complement(composition(join(X1,X0),top)))) = zero,
inference(resolve,[$cnf( $equal(join(zero,composition(converse(join(X1,X0)),complement(composition(join(X1,X0),top)))),zero) )],[refute_0_1129,refute_0_1133]) ).
cnf(refute_0_1135,plain,
join(zero,composition(converse(join(X0,X1)),complement(composition(join(X1,X0),top)))) = composition(converse(join(X0,X1)),complement(composition(join(X1,X0),top))),
inference(subst,[],[refute_0_396:[bind(X_75,$fot(composition(converse(join(X0,X1)),complement(composition(join(X1,X0),top)))))]]) ).
cnf(refute_0_1136,plain,
( join(zero,composition(converse(join(X0,X1)),complement(composition(join(X1,X0),top)))) != composition(converse(join(X0,X1)),complement(composition(join(X1,X0),top)))
| join(zero,composition(converse(join(X0,X1)),complement(composition(join(X1,X0),top)))) != zero
| composition(converse(join(X0,X1)),complement(composition(join(X1,X0),top))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,composition(converse(join(X0,X1)),complement(composition(join(X1,X0),top)))),zero) ),[0],$fot(composition(converse(join(X0,X1)),complement(composition(join(X1,X0),top))))]]) ).
cnf(refute_0_1137,plain,
( join(zero,composition(converse(join(X0,X1)),complement(composition(join(X1,X0),top)))) != zero
| composition(converse(join(X0,X1)),complement(composition(join(X1,X0),top))) = zero ),
inference(resolve,[$cnf( $equal(join(zero,composition(converse(join(X0,X1)),complement(composition(join(X1,X0),top)))),composition(converse(join(X0,X1)),complement(composition(join(X1,X0),top)))) )],[refute_0_1135,refute_0_1136]) ).
cnf(refute_0_1138,plain,
composition(converse(join(X0,X1)),complement(composition(join(X1,X0),top))) = zero,
inference(resolve,[$cnf( $equal(join(zero,composition(converse(join(X0,X1)),complement(composition(join(X1,X0),top)))),zero) )],[refute_0_1134,refute_0_1137]) ).
cnf(refute_0_1139,plain,
composition(converse(join(composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one))))),complement(one))),complement(composition(join(complement(one),composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one)))))),top))) = zero,
inference(subst,[],[refute_0_1138:[bind(X0,$fot(composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one))))))),bind(X1,$fot(complement(one)))]]) ).
cnf(refute_0_1140,plain,
join(complement(one),composition(converse(X_50),complement(composition(X_50,one)))) = complement(one),
inference(subst,[],[refute_0_27:[bind(X0,$fot(X_50)),bind(X1,$fot(one))]]) ).
cnf(refute_0_1141,plain,
composition(X_50,one) = X_50,
inference(subst,[],[refute_0_143:[bind(X0,$fot(X_50))]]) ).
cnf(refute_0_1142,plain,
( composition(X_50,one) != X_50
| join(complement(one),composition(converse(X_50),complement(composition(X_50,one)))) != complement(one)
| join(complement(one),composition(converse(X_50),complement(X_50))) = complement(one) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),composition(converse(X_50),complement(composition(X_50,one)))),complement(one)) ),[0,1,1,0],$fot(X_50)]]) ).
cnf(refute_0_1143,plain,
( join(complement(one),composition(converse(X_50),complement(composition(X_50,one)))) != complement(one)
| join(complement(one),composition(converse(X_50),complement(X_50))) = complement(one) ),
inference(resolve,[$cnf( $equal(composition(X_50,one),X_50) )],[refute_0_1141,refute_0_1142]) ).
cnf(refute_0_1144,plain,
join(complement(one),composition(converse(X_50),complement(X_50))) = complement(one),
inference(resolve,[$cnf( $equal(join(complement(one),composition(converse(X_50),complement(composition(X_50,one)))),complement(one)) )],[refute_0_1140,refute_0_1143]) ).
cnf(refute_0_1145,plain,
join(complement(one),composition(converse(join(X1,X0)),complement(join(X1,X0)))) = complement(one),
inference(subst,[],[refute_0_1144:[bind(X_50,$fot(join(X1,X0)))]]) ).
cnf(refute_0_1146,plain,
( converse(join(X1,X0)) != converse(join(X0,X1))
| join(complement(one),composition(converse(join(X1,X0)),complement(join(X1,X0)))) != complement(one)
| join(complement(one),composition(converse(join(X0,X1)),complement(join(X1,X0)))) = complement(one) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),composition(converse(join(X1,X0)),complement(join(X1,X0)))),complement(one)) ),[0,1,0],$fot(converse(join(X0,X1)))]]) ).
cnf(refute_0_1147,plain,
( join(complement(one),composition(converse(join(X1,X0)),complement(join(X1,X0)))) != complement(one)
| join(complement(one),composition(converse(join(X0,X1)),complement(join(X1,X0)))) = complement(one) ),
inference(resolve,[$cnf( $equal(converse(join(X1,X0)),converse(join(X0,X1))) )],[refute_0_1131,refute_0_1146]) ).
cnf(refute_0_1148,plain,
join(complement(one),composition(converse(join(X0,X1)),complement(join(X1,X0)))) = complement(one),
inference(resolve,[$cnf( $equal(join(complement(one),composition(converse(join(X1,X0)),complement(join(X1,X0)))),complement(one)) )],[refute_0_1145,refute_0_1147]) ).
cnf(refute_0_1149,plain,
join(complement(one),composition(converse(join(complement(composition(complement(one),complement(composition(top,complement(one))))),one)),complement(join(one,complement(composition(complement(one),complement(composition(top,complement(one))))))))) = complement(one),
inference(subst,[],[refute_0_1148:[bind(X0,$fot(complement(composition(complement(one),complement(composition(top,complement(one))))))),bind(X1,$fot(one))]]) ).
cnf(refute_0_1150,plain,
join(X_220,complement(X_219)) = complement(complement(join(X_220,complement(X_219)))),
inference(subst,[],[refute_0_458:[bind(X1,$fot(join(X_220,complement(X_219))))]]) ).
cnf(refute_0_1151,plain,
meet(complement(X_220),X_219) = complement(join(X_220,complement(X_219))),
inference(subst,[],[refute_0_701:[bind(X1,$fot(X_219)),bind(X_16,$fot(X_220))]]) ).
cnf(refute_0_1152,plain,
( meet(complement(X_220),X_219) != complement(join(X_220,complement(X_219)))
| complement(join(X_220,complement(X_219))) = meet(complement(X_220),X_219) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(meet(complement(X_220),X_219))),bind(Y,$fot(complement(join(X_220,complement(X_219)))))]]) ).
cnf(refute_0_1153,plain,
complement(join(X_220,complement(X_219))) = meet(complement(X_220),X_219),
inference(resolve,[$cnf( $equal(meet(complement(X_220),X_219),complement(join(X_220,complement(X_219)))) )],[refute_0_1151,refute_0_1152]) ).
cnf(refute_0_1154,plain,
( complement(join(X_220,complement(X_219))) != meet(complement(X_220),X_219)
| join(X_220,complement(X_219)) != complement(complement(join(X_220,complement(X_219))))
| join(X_220,complement(X_219)) = complement(meet(complement(X_220),X_219)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_220,complement(X_219)),complement(complement(join(X_220,complement(X_219))))) ),[1,0],$fot(meet(complement(X_220),X_219))]]) ).
cnf(refute_0_1155,plain,
( join(X_220,complement(X_219)) != complement(complement(join(X_220,complement(X_219))))
| join(X_220,complement(X_219)) = complement(meet(complement(X_220),X_219)) ),
inference(resolve,[$cnf( $equal(complement(join(X_220,complement(X_219))),meet(complement(X_220),X_219)) )],[refute_0_1153,refute_0_1154]) ).
cnf(refute_0_1156,plain,
join(X_220,complement(X_219)) = complement(meet(complement(X_220),X_219)),
inference(resolve,[$cnf( $equal(join(X_220,complement(X_219)),complement(complement(join(X_220,complement(X_219))))) )],[refute_0_1150,refute_0_1155]) ).
cnf(refute_0_1157,plain,
join(one,complement(composition(complement(one),complement(composition(top,complement(one)))))) = complement(meet(complement(one),composition(complement(one),complement(composition(top,complement(one)))))),
inference(subst,[],[refute_0_1156:[bind(X_219,$fot(composition(complement(one),complement(composition(top,complement(one)))))),bind(X_220,$fot(one))]]) ).
cnf(refute_0_1158,plain,
composition(complement(one),complement(composition(top,complement(one)))) = join(meet(one,composition(complement(one),complement(composition(top,complement(one))))),meet(complement(one),composition(complement(one),complement(composition(top,complement(one)))))),
inference(subst,[],[refute_0_445:[bind(X_160,$fot(composition(complement(one),complement(composition(top,complement(one)))))),bind(X_161,$fot(one))]]) ).
cnf(refute_0_1159,plain,
meet(one,composition(complement(one),complement(composition(top,complement(one))))) = complement(complement(meet(one,composition(complement(one),complement(composition(top,complement(one))))))),
inference(subst,[],[refute_0_458:[bind(X1,$fot(meet(one,composition(complement(one),complement(composition(top,complement(one)))))))]]) ).
cnf(refute_0_1160,plain,
converse(join(converse(X0),composition(top,complement(converse(X0))))) = join(X0,converse(composition(top,complement(converse(X0))))),
inference(subst,[],[refute_0_218:[bind(X_5,$fot(composition(top,complement(converse(X0)))))]]) ).
cnf(refute_0_1161,plain,
( join(X_44,join(complement(X_44),X_46)) != join(top,X_46)
| join(top,X_46) != top
| join(X_44,join(complement(X_44),X_46)) = top ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_44,join(complement(X_44),X_46)),top) ),[0],$fot(join(top,X_46))]]) ).
cnf(refute_0_1162,plain,
( join(X_44,join(complement(X_44),X_46)) != join(top,X_46)
| join(X_44,join(complement(X_44),X_46)) = top ),
inference(resolve,[$cnf( $equal(join(top,X_46),top) )],[refute_0_482,refute_0_1161]) ).
cnf(refute_0_1163,plain,
join(X_44,join(complement(X_44),X_46)) = top,
inference(resolve,[$cnf( $equal(join(X_44,join(complement(X_44),X_46)),join(top,X_46)) )],[refute_0_559,refute_0_1162]) ).
cnf(refute_0_1164,plain,
join(X_44,join(complement(X_44),composition(X_197,complement(X_44)))) = top,
inference(subst,[],[refute_0_1163:[bind(X_46,$fot(composition(X_197,complement(X_44))))]]) ).
cnf(refute_0_1165,plain,
composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(canonicalize,[],[normalize_0_25]) ).
cnf(refute_0_1166,plain,
composition(join(X_107,one),X_109) = join(composition(X_107,X_109),composition(one,X_109)),
inference(subst,[],[refute_0_1165:[bind(X0,$fot(X_107)),bind(X1,$fot(one)),bind(X2,$fot(X_109))]]) ).
cnf(refute_0_1167,plain,
X_109 = composition(one,X_109),
inference(subst,[],[refute_0_167:[bind(X_19,$fot(X_109))]]) ).
cnf(refute_0_1168,plain,
( X_109 != composition(one,X_109)
| composition(one,X_109) = X_109 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(X_109)),bind(Y,$fot(composition(one,X_109)))]]) ).
cnf(refute_0_1169,plain,
composition(one,X_109) = X_109,
inference(resolve,[$cnf( $equal(X_109,composition(one,X_109)) )],[refute_0_1167,refute_0_1168]) ).
cnf(refute_0_1170,plain,
( composition(join(X_107,one),X_109) != join(composition(X_107,X_109),composition(one,X_109))
| composition(one,X_109) != X_109
| composition(join(X_107,one),X_109) = join(composition(X_107,X_109),X_109) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X_107,one),X_109),join(composition(X_107,X_109),composition(one,X_109))) ),[1,1],$fot(X_109)]]) ).
cnf(refute_0_1171,plain,
( composition(join(X_107,one),X_109) != join(composition(X_107,X_109),composition(one,X_109))
| composition(join(X_107,one),X_109) = join(composition(X_107,X_109),X_109) ),
inference(resolve,[$cnf( $equal(composition(one,X_109),X_109) )],[refute_0_1169,refute_0_1170]) ).
cnf(refute_0_1172,plain,
composition(join(X_107,one),X_109) = join(composition(X_107,X_109),X_109),
inference(resolve,[$cnf( $equal(composition(join(X_107,one),X_109),join(composition(X_107,X_109),composition(one,X_109))) )],[refute_0_1166,refute_0_1171]) ).
cnf(refute_0_1173,plain,
join(composition(X_107,X_109),X_109) = join(X_109,composition(X_107,X_109)),
inference(subst,[],[refute_0_6:[bind(X0,$fot(X_109)),bind(X1,$fot(composition(X_107,X_109)))]]) ).
cnf(refute_0_1174,plain,
( composition(join(X_107,one),X_109) != join(composition(X_107,X_109),X_109)
| join(composition(X_107,X_109),X_109) != join(X_109,composition(X_107,X_109))
| composition(join(X_107,one),X_109) = join(X_109,composition(X_107,X_109)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(X_107,one),X_109),join(X_109,composition(X_107,X_109))) ),[0],$fot(join(composition(X_107,X_109),X_109))]]) ).
cnf(refute_0_1175,plain,
( composition(join(X_107,one),X_109) != join(composition(X_107,X_109),X_109)
| composition(join(X_107,one),X_109) = join(X_109,composition(X_107,X_109)) ),
inference(resolve,[$cnf( $equal(join(composition(X_107,X_109),X_109),join(X_109,composition(X_107,X_109))) )],[refute_0_1173,refute_0_1174]) ).
cnf(refute_0_1176,plain,
composition(join(X_107,one),X_109) = join(X_109,composition(X_107,X_109)),
inference(resolve,[$cnf( $equal(composition(join(X_107,one),X_109),join(composition(X_107,X_109),X_109)) )],[refute_0_1172,refute_0_1175]) ).
cnf(refute_0_1177,plain,
composition(join(X_197,one),complement(X_44)) = join(complement(X_44),composition(X_197,complement(X_44))),
inference(subst,[],[refute_0_1176:[bind(X_107,$fot(X_197)),bind(X_109,$fot(complement(X_44)))]]) ).
cnf(refute_0_1178,plain,
( composition(join(X_197,one),complement(X_44)) != join(complement(X_44),composition(X_197,complement(X_44)))
| join(complement(X_44),composition(X_197,complement(X_44))) = composition(join(X_197,one),complement(X_44)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(composition(join(X_197,one),complement(X_44)))),bind(Y,$fot(join(complement(X_44),composition(X_197,complement(X_44)))))]]) ).
cnf(refute_0_1179,plain,
join(complement(X_44),composition(X_197,complement(X_44))) = composition(join(X_197,one),complement(X_44)),
inference(resolve,[$cnf( $equal(composition(join(X_197,one),complement(X_44)),join(complement(X_44),composition(X_197,complement(X_44)))) )],[refute_0_1177,refute_0_1178]) ).
cnf(refute_0_1180,plain,
( join(X_44,join(complement(X_44),composition(X_197,complement(X_44)))) != top
| join(complement(X_44),composition(X_197,complement(X_44))) != composition(join(X_197,one),complement(X_44))
| join(X_44,composition(join(X_197,one),complement(X_44))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(X_44,join(complement(X_44),composition(X_197,complement(X_44)))),top) ),[0,1],$fot(composition(join(X_197,one),complement(X_44)))]]) ).
cnf(refute_0_1181,plain,
( join(X_44,join(complement(X_44),composition(X_197,complement(X_44)))) != top
| join(X_44,composition(join(X_197,one),complement(X_44))) = top ),
inference(resolve,[$cnf( $equal(join(complement(X_44),composition(X_197,complement(X_44))),composition(join(X_197,one),complement(X_44))) )],[refute_0_1179,refute_0_1180]) ).
cnf(refute_0_1182,plain,
join(X_44,composition(join(X_197,one),complement(X_44))) = top,
inference(resolve,[$cnf( $equal(join(X_44,join(complement(X_44),composition(X_197,complement(X_44)))),top) )],[refute_0_1164,refute_0_1181]) ).
cnf(refute_0_1183,plain,
join(X_200,composition(join(top,one),complement(X_200))) = top,
inference(subst,[],[refute_0_1182:[bind(X_197,$fot(top)),bind(X_44,$fot(X_200))]]) ).
cnf(refute_0_1184,plain,
join(top,one) = top,
inference(subst,[],[refute_0_481:[bind(X_65,$fot(one))]]) ).
cnf(refute_0_1185,plain,
( join(X_200,composition(join(top,one),complement(X_200))) != top
| join(top,one) != top
| join(X_200,composition(top,complement(X_200))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(X_200,composition(join(top,one),complement(X_200))),top) ),[0,1,0],$fot(top)]]) ).
cnf(refute_0_1186,plain,
( join(X_200,composition(join(top,one),complement(X_200))) != top
| join(X_200,composition(top,complement(X_200))) = top ),
inference(resolve,[$cnf( $equal(join(top,one),top) )],[refute_0_1184,refute_0_1185]) ).
cnf(refute_0_1187,plain,
join(X_200,composition(top,complement(X_200))) = top,
inference(resolve,[$cnf( $equal(join(X_200,composition(join(top,one),complement(X_200))),top) )],[refute_0_1183,refute_0_1186]) ).
cnf(refute_0_1188,plain,
join(converse(X0),composition(top,complement(converse(X0)))) = top,
inference(subst,[],[refute_0_1187:[bind(X_200,$fot(converse(X0)))]]) ).
cnf(refute_0_1189,plain,
( converse(join(converse(X0),composition(top,complement(converse(X0))))) != join(X0,converse(composition(top,complement(converse(X0)))))
| join(converse(X0),composition(top,complement(converse(X0)))) != top
| converse(top) = join(X0,converse(composition(top,complement(converse(X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X0),composition(top,complement(converse(X0))))),join(X0,converse(composition(top,complement(converse(X0)))))) ),[0,0],$fot(top)]]) ).
cnf(refute_0_1190,plain,
( converse(join(converse(X0),composition(top,complement(converse(X0))))) != join(X0,converse(composition(top,complement(converse(X0)))))
| converse(top) = join(X0,converse(composition(top,complement(converse(X0))))) ),
inference(resolve,[$cnf( $equal(join(converse(X0),composition(top,complement(converse(X0)))),top) )],[refute_0_1188,refute_0_1189]) ).
cnf(refute_0_1191,plain,
converse(top) = join(X0,converse(composition(top,complement(converse(X0))))),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),composition(top,complement(converse(X0))))),join(X0,converse(composition(top,complement(converse(X0)))))) )],[refute_0_1160,refute_0_1190]) ).
cnf(refute_0_1192,plain,
( converse(top) != join(X0,converse(composition(top,complement(converse(X0)))))
| converse(top) != top
| top = join(X0,converse(composition(top,complement(converse(X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(top),join(X0,converse(composition(top,complement(converse(X0)))))) ),[0],$fot(top)]]) ).
cnf(refute_0_1193,plain,
( converse(top) != join(X0,converse(composition(top,complement(converse(X0)))))
| top = join(X0,converse(composition(top,complement(converse(X0))))) ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_586,refute_0_1192]) ).
cnf(refute_0_1194,plain,
top = join(X0,converse(composition(top,complement(converse(X0))))),
inference(resolve,[$cnf( $equal(converse(top),join(X0,converse(composition(top,complement(converse(X0)))))) )],[refute_0_1191,refute_0_1193]) ).
cnf(refute_0_1195,plain,
top = join(complement(meet(one,composition(complement(one),complement(composition(top,complement(one)))))),converse(composition(top,complement(converse(complement(meet(one,composition(complement(one),complement(composition(top,complement(one))))))))))),
inference(subst,[],[refute_0_1194:[bind(X0,$fot(complement(meet(one,composition(complement(one),complement(composition(top,complement(one))))))))]]) ).
cnf(refute_0_1196,plain,
join(converse(complement(composition(complement(one),complement(composition(top,complement(one)))))),complement(converse(meet(one,complement(composition(complement(one),complement(composition(top,complement(one))))))))) = top,
inference(subst,[],[refute_0_625:[bind(X_160,$fot(complement(composition(complement(one),complement(composition(top,complement(one))))))),bind(X_161,$fot(one))]]) ).
cnf(refute_0_1197,plain,
meet(one,complement(composition(complement(one),complement(composition(top,complement(one)))))) = complement(join(complement(one),composition(complement(one),complement(composition(top,complement(one)))))),
inference(subst,[],[refute_0_428:[bind(X0,$fot(one)),bind(X_16,$fot(composition(complement(one),complement(composition(top,complement(one))))))]]) ).
cnf(refute_0_1198,plain,
join(complement(one),composition(converse(composition(top,complement(one))),complement(composition(top,complement(one))))) = complement(one),
inference(subst,[],[refute_0_1144:[bind(X_50,$fot(composition(top,complement(one))))]]) ).
cnf(refute_0_1199,plain,
converse(composition(converse(complement(converse(zero))),X_18)) = composition(converse(X_18),complement(converse(zero))),
inference(subst,[],[refute_0_141:[bind(X0,$fot(complement(converse(zero))))]]) ).
cnf(refute_0_1200,plain,
top = join(zero,converse(complement(converse(zero)))),
inference(subst,[],[refute_0_630:[bind(X_8,$fot(zero))]]) ).
cnf(refute_0_1201,plain,
join(zero,converse(complement(converse(zero)))) = converse(complement(converse(zero))),
inference(subst,[],[refute_0_396:[bind(X_75,$fot(converse(complement(converse(zero)))))]]) ).
cnf(refute_0_1202,plain,
( join(zero,converse(complement(converse(zero)))) != converse(complement(converse(zero)))
| top != join(zero,converse(complement(converse(zero))))
| top = converse(complement(converse(zero))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(zero,converse(complement(converse(zero))))) ),[1],$fot(converse(complement(converse(zero))))]]) ).
cnf(refute_0_1203,plain,
( top != join(zero,converse(complement(converse(zero))))
| top = converse(complement(converse(zero))) ),
inference(resolve,[$cnf( $equal(join(zero,converse(complement(converse(zero)))),converse(complement(converse(zero)))) )],[refute_0_1201,refute_0_1202]) ).
cnf(refute_0_1204,plain,
top = converse(complement(converse(zero))),
inference(resolve,[$cnf( $equal(top,join(zero,converse(complement(converse(zero))))) )],[refute_0_1200,refute_0_1203]) ).
cnf(refute_0_1205,plain,
( top != converse(complement(converse(zero)))
| converse(complement(converse(zero))) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(converse(complement(converse(zero)))))]]) ).
cnf(refute_0_1206,plain,
converse(complement(converse(zero))) = top,
inference(resolve,[$cnf( $equal(top,converse(complement(converse(zero)))) )],[refute_0_1204,refute_0_1205]) ).
cnf(refute_0_1207,plain,
( converse(complement(converse(zero))) != top
| converse(composition(converse(complement(converse(zero))),X_18)) != composition(converse(X_18),complement(converse(zero)))
| converse(composition(top,X_18)) = composition(converse(X_18),complement(converse(zero))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(complement(converse(zero))),X_18)),composition(converse(X_18),complement(converse(zero)))) ),[0,0,0],$fot(top)]]) ).
cnf(refute_0_1208,plain,
( converse(composition(converse(complement(converse(zero))),X_18)) != composition(converse(X_18),complement(converse(zero)))
| converse(composition(top,X_18)) = composition(converse(X_18),complement(converse(zero))) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(zero))),top) )],[refute_0_1206,refute_0_1207]) ).
cnf(refute_0_1209,plain,
converse(composition(top,X_18)) = composition(converse(X_18),complement(converse(zero))),
inference(resolve,[$cnf( $equal(converse(composition(converse(complement(converse(zero))),X_18)),composition(converse(X_18),complement(converse(zero)))) )],[refute_0_1199,refute_0_1208]) ).
cnf(refute_0_1210,plain,
top = join(complement(converse(zero)),converse(complement(converse(complement(converse(zero)))))),
inference(subst,[],[refute_0_630:[bind(X_8,$fot(complement(converse(zero))))]]) ).
cnf(refute_0_1211,plain,
( converse(complement(converse(zero))) != top
| top != join(complement(converse(zero)),converse(complement(converse(complement(converse(zero))))))
| top = join(complement(converse(zero)),converse(complement(top))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(converse(zero)),converse(complement(converse(complement(converse(zero))))))) ),[1,1,0,0],$fot(top)]]) ).
cnf(refute_0_1212,plain,
( top != join(complement(converse(zero)),converse(complement(converse(complement(converse(zero))))))
| top = join(complement(converse(zero)),converse(complement(top))) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(zero))),top) )],[refute_0_1206,refute_0_1211]) ).
cnf(refute_0_1213,plain,
top = join(complement(converse(zero)),converse(complement(top))),
inference(resolve,[$cnf( $equal(top,join(complement(converse(zero)),converse(complement(converse(complement(converse(zero))))))) )],[refute_0_1210,refute_0_1212]) ).
cnf(refute_0_1214,plain,
converse(join(zero,converse(X0))) = join(converse(zero),X0),
inference(subst,[],[refute_0_231:[bind(X_4,$fot(zero))]]) ).
cnf(refute_0_1215,plain,
join(zero,converse(X0)) = converse(X0),
inference(subst,[],[refute_0_396:[bind(X_75,$fot(converse(X0)))]]) ).
cnf(refute_0_1216,plain,
( converse(join(zero,converse(X0))) != join(converse(zero),X0)
| join(zero,converse(X0)) != converse(X0)
| converse(converse(X0)) = join(converse(zero),X0) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(zero,converse(X0))),join(converse(zero),X0)) ),[0,0],$fot(converse(X0))]]) ).
cnf(refute_0_1217,plain,
( converse(join(zero,converse(X0))) != join(converse(zero),X0)
| converse(converse(X0)) = join(converse(zero),X0) ),
inference(resolve,[$cnf( $equal(join(zero,converse(X0)),converse(X0)) )],[refute_0_1215,refute_0_1216]) ).
cnf(refute_0_1218,plain,
converse(converse(X0)) = join(converse(zero),X0),
inference(resolve,[$cnf( $equal(converse(join(zero,converse(X0))),join(converse(zero),X0)) )],[refute_0_1214,refute_0_1217]) ).
cnf(refute_0_1219,plain,
( converse(converse(X0)) != X0
| converse(converse(X0)) != join(converse(zero),X0)
| X0 = join(converse(zero),X0) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(X0)),join(converse(zero),X0)) ),[0],$fot(X0)]]) ).
cnf(refute_0_1220,plain,
( converse(converse(X0)) != join(converse(zero),X0)
| X0 = join(converse(zero),X0) ),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_0_35,refute_0_1219]) ).
cnf(refute_0_1221,plain,
X0 = join(converse(zero),X0),
inference(resolve,[$cnf( $equal(converse(converse(X0)),join(converse(zero),X0)) )],[refute_0_1218,refute_0_1220]) ).
cnf(refute_0_1222,plain,
( X0 != join(converse(zero),X0)
| join(converse(zero),X0) = X0 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(X0)),bind(Y,$fot(join(converse(zero),X0)))]]) ).
cnf(refute_0_1223,plain,
join(converse(zero),X0) = X0,
inference(resolve,[$cnf( $equal(X0,join(converse(zero),X0)) )],[refute_0_1221,refute_0_1222]) ).
cnf(refute_0_1224,plain,
join(converse(zero),complement(converse(zero))) = complement(converse(zero)),
inference(subst,[],[refute_0_1223:[bind(X0,$fot(complement(converse(zero))))]]) ).
cnf(refute_0_1225,plain,
join(complement(converse(zero)),converse(zero)) = join(converse(zero),complement(converse(zero))),
inference(subst,[],[refute_0_6:[bind(X0,$fot(converse(zero))),bind(X1,$fot(complement(converse(zero))))]]) ).
cnf(refute_0_1226,plain,
( join(complement(converse(zero)),converse(zero)) != join(converse(zero),complement(converse(zero)))
| join(converse(zero),complement(converse(zero))) != complement(converse(zero))
| join(complement(converse(zero)),converse(zero)) = complement(converse(zero)) ),
inference(subst,[],[refute_0_71:[bind(X,$fot(join(complement(converse(zero)),converse(zero)))),bind(Y,$fot(join(converse(zero),complement(converse(zero))))),bind(Z,$fot(complement(converse(zero))))]]) ).
cnf(refute_0_1227,plain,
( join(converse(zero),complement(converse(zero))) != complement(converse(zero))
| join(complement(converse(zero)),converse(zero)) = complement(converse(zero)) ),
inference(resolve,[$cnf( $equal(join(complement(converse(zero)),converse(zero)),join(converse(zero),complement(converse(zero)))) )],[refute_0_1225,refute_0_1226]) ).
cnf(refute_0_1228,plain,
join(complement(converse(zero)),converse(zero)) = complement(converse(zero)),
inference(resolve,[$cnf( $equal(join(converse(zero),complement(converse(zero))),complement(converse(zero))) )],[refute_0_1224,refute_0_1227]) ).
cnf(refute_0_1229,plain,
converse(complement(top)) = converse(complement(top)),
introduced(tautology,[refl,[$fot(converse(complement(top)))]]) ).
cnf(refute_0_1230,plain,
( complement(top) != zero
| converse(complement(top)) != converse(complement(top))
| converse(complement(top)) = converse(zero) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(top)),converse(complement(top))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_1231,plain,
( complement(top) != zero
| converse(complement(top)) = converse(zero) ),
inference(resolve,[$cnf( $equal(converse(complement(top)),converse(complement(top))) )],[refute_0_1229,refute_0_1230]) ).
cnf(refute_0_1232,plain,
converse(complement(top)) = converse(zero),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_125,refute_0_1231]) ).
cnf(refute_0_1233,plain,
join(complement(converse(zero)),converse(complement(top))) = join(complement(converse(zero)),converse(complement(top))),
introduced(tautology,[refl,[$fot(join(complement(converse(zero)),converse(complement(top))))]]) ).
cnf(refute_0_1234,plain,
( converse(complement(top)) != converse(zero)
| join(complement(converse(zero)),converse(complement(top))) != join(complement(converse(zero)),converse(complement(top)))
| join(complement(converse(zero)),converse(complement(top))) = join(complement(converse(zero)),converse(zero)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(zero)),converse(complement(top))),join(complement(converse(zero)),converse(complement(top)))) ),[1,1],$fot(converse(zero))]]) ).
cnf(refute_0_1235,plain,
( converse(complement(top)) != converse(zero)
| join(complement(converse(zero)),converse(complement(top))) = join(complement(converse(zero)),converse(zero)) ),
inference(resolve,[$cnf( $equal(join(complement(converse(zero)),converse(complement(top))),join(complement(converse(zero)),converse(complement(top)))) )],[refute_0_1233,refute_0_1234]) ).
cnf(refute_0_1236,plain,
join(complement(converse(zero)),converse(complement(top))) = join(complement(converse(zero)),converse(zero)),
inference(resolve,[$cnf( $equal(converse(complement(top)),converse(zero)) )],[refute_0_1232,refute_0_1235]) ).
cnf(refute_0_1237,plain,
( join(complement(converse(zero)),converse(complement(top))) != join(complement(converse(zero)),converse(zero))
| join(complement(converse(zero)),converse(zero)) != complement(converse(zero))
| join(complement(converse(zero)),converse(complement(top))) = complement(converse(zero)) ),
inference(subst,[],[refute_0_71:[bind(X,$fot(join(complement(converse(zero)),converse(complement(top))))),bind(Y,$fot(join(complement(converse(zero)),converse(zero)))),bind(Z,$fot(complement(converse(zero))))]]) ).
cnf(refute_0_1238,plain,
( join(complement(converse(zero)),converse(zero)) != complement(converse(zero))
| join(complement(converse(zero)),converse(complement(top))) = complement(converse(zero)) ),
inference(resolve,[$cnf( $equal(join(complement(converse(zero)),converse(complement(top))),join(complement(converse(zero)),converse(zero))) )],[refute_0_1236,refute_0_1237]) ).
cnf(refute_0_1239,plain,
join(complement(converse(zero)),converse(complement(top))) = complement(converse(zero)),
inference(resolve,[$cnf( $equal(join(complement(converse(zero)),converse(zero)),complement(converse(zero))) )],[refute_0_1228,refute_0_1238]) ).
cnf(refute_0_1240,plain,
( join(complement(converse(zero)),converse(complement(top))) != complement(converse(zero))
| top != join(complement(converse(zero)),converse(complement(top)))
| top = complement(converse(zero)) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(converse(zero)),converse(complement(top)))) ),[1],$fot(complement(converse(zero)))]]) ).
cnf(refute_0_1241,plain,
( top != join(complement(converse(zero)),converse(complement(top)))
| top = complement(converse(zero)) ),
inference(resolve,[$cnf( $equal(join(complement(converse(zero)),converse(complement(top))),complement(converse(zero))) )],[refute_0_1239,refute_0_1240]) ).
cnf(refute_0_1242,plain,
top = complement(converse(zero)),
inference(resolve,[$cnf( $equal(top,join(complement(converse(zero)),converse(complement(top)))) )],[refute_0_1213,refute_0_1241]) ).
cnf(refute_0_1243,plain,
( top != complement(converse(zero))
| complement(converse(zero)) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(complement(converse(zero))))]]) ).
cnf(refute_0_1244,plain,
complement(converse(zero)) = top,
inference(resolve,[$cnf( $equal(top,complement(converse(zero))) )],[refute_0_1242,refute_0_1243]) ).
cnf(refute_0_1245,plain,
composition(converse(X_18),complement(converse(zero))) = composition(converse(X_18),complement(converse(zero))),
introduced(tautology,[refl,[$fot(composition(converse(X_18),complement(converse(zero))))]]) ).
cnf(refute_0_1246,plain,
( complement(converse(zero)) != top
| composition(converse(X_18),complement(converse(zero))) != composition(converse(X_18),complement(converse(zero)))
| composition(converse(X_18),complement(converse(zero))) = composition(converse(X_18),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(X_18),complement(converse(zero))),composition(converse(X_18),complement(converse(zero)))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_1247,plain,
( complement(converse(zero)) != top
| composition(converse(X_18),complement(converse(zero))) = composition(converse(X_18),top) ),
inference(resolve,[$cnf( $equal(composition(converse(X_18),complement(converse(zero))),composition(converse(X_18),complement(converse(zero)))) )],[refute_0_1245,refute_0_1246]) ).
cnf(refute_0_1248,plain,
composition(converse(X_18),complement(converse(zero))) = composition(converse(X_18),top),
inference(resolve,[$cnf( $equal(complement(converse(zero)),top) )],[refute_0_1244,refute_0_1247]) ).
cnf(refute_0_1249,plain,
( composition(converse(X_18),complement(converse(zero))) != composition(converse(X_18),top)
| converse(composition(top,X_18)) != composition(converse(X_18),complement(converse(zero)))
| converse(composition(top,X_18)) = composition(converse(X_18),top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,X_18)),composition(converse(X_18),complement(converse(zero)))) ),[1],$fot(composition(converse(X_18),top))]]) ).
cnf(refute_0_1250,plain,
( converse(composition(top,X_18)) != composition(converse(X_18),complement(converse(zero)))
| converse(composition(top,X_18)) = composition(converse(X_18),top) ),
inference(resolve,[$cnf( $equal(composition(converse(X_18),complement(converse(zero))),composition(converse(X_18),top)) )],[refute_0_1248,refute_0_1249]) ).
cnf(refute_0_1251,plain,
converse(composition(top,X_18)) = composition(converse(X_18),top),
inference(resolve,[$cnf( $equal(converse(composition(top,X_18)),composition(converse(X_18),complement(converse(zero)))) )],[refute_0_1209,refute_0_1250]) ).
cnf(refute_0_1252,plain,
converse(composition(top,complement(one))) = composition(converse(complement(one)),top),
inference(subst,[],[refute_0_1251:[bind(X_18,$fot(complement(one)))]]) ).
cnf(refute_0_1253,plain,
converse(complement(one)) = join(meet(complement(one),converse(complement(one))),meet(converse(complement(one)),complement(complement(one)))),
inference(subst,[],[refute_0_438:[bind(X_73,$fot(converse(complement(one)))),bind(X_74,$fot(complement(one)))]]) ).
cnf(refute_0_1254,plain,
complement(one) = meet(complement(one),converse(complement(converse(one)))),
inference(subst,[],[refute_0_658:[bind(X_85,$fot(one))]]) ).
cnf(refute_0_1255,plain,
( complement(one) != meet(complement(one),converse(complement(converse(one))))
| converse(one) != one
| complement(one) = meet(complement(one),converse(complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(one),meet(complement(one),converse(complement(converse(one))))) ),[1,1,0,0],$fot(one)]]) ).
cnf(refute_0_1256,plain,
( complement(one) != meet(complement(one),converse(complement(converse(one))))
| complement(one) = meet(complement(one),converse(complement(one))) ),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_160,refute_0_1255]) ).
cnf(refute_0_1257,plain,
complement(one) = meet(complement(one),converse(complement(one))),
inference(resolve,[$cnf( $equal(complement(one),meet(complement(one),converse(complement(converse(one))))) )],[refute_0_1254,refute_0_1256]) ).
cnf(refute_0_1258,plain,
( complement(one) != meet(complement(one),converse(complement(one)))
| meet(complement(one),converse(complement(one))) = complement(one) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(complement(one))),bind(Y,$fot(meet(complement(one),converse(complement(one)))))]]) ).
cnf(refute_0_1259,plain,
meet(complement(one),converse(complement(one))) = complement(one),
inference(resolve,[$cnf( $equal(complement(one),meet(complement(one),converse(complement(one)))) )],[refute_0_1257,refute_0_1258]) ).
cnf(refute_0_1260,plain,
( converse(complement(one)) != join(meet(complement(one),converse(complement(one))),meet(converse(complement(one)),complement(complement(one))))
| meet(complement(one),converse(complement(one))) != complement(one)
| converse(complement(one)) = join(complement(one),meet(converse(complement(one)),complement(complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(one)),join(meet(complement(one),converse(complement(one))),meet(converse(complement(one)),complement(complement(one))))) ),[1,0],$fot(complement(one))]]) ).
cnf(refute_0_1261,plain,
( converse(complement(one)) != join(meet(complement(one),converse(complement(one))),meet(converse(complement(one)),complement(complement(one))))
| converse(complement(one)) = join(complement(one),meet(converse(complement(one)),complement(complement(one)))) ),
inference(resolve,[$cnf( $equal(meet(complement(one),converse(complement(one))),complement(one)) )],[refute_0_1259,refute_0_1260]) ).
cnf(refute_0_1262,plain,
converse(complement(one)) = join(complement(one),meet(converse(complement(one)),complement(complement(one)))),
inference(resolve,[$cnf( $equal(converse(complement(one)),join(meet(complement(one),converse(complement(one))),meet(converse(complement(one)),complement(complement(one))))) )],[refute_0_1253,refute_0_1261]) ).
cnf(refute_0_1263,plain,
complement(complement(one)) = one,
inference(subst,[],[refute_0_781:[bind(X1,$fot(one))]]) ).
cnf(refute_0_1264,plain,
meet(complement(complement(one)),converse(complement(one))) = meet(complement(complement(one)),converse(complement(one))),
introduced(tautology,[refl,[$fot(meet(complement(complement(one)),converse(complement(one))))]]) ).
cnf(refute_0_1265,plain,
( complement(complement(one)) != one
| meet(complement(complement(one)),converse(complement(one))) != meet(complement(complement(one)),converse(complement(one)))
| meet(complement(complement(one)),converse(complement(one))) = meet(one,converse(complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(complement(one)),converse(complement(one))),meet(complement(complement(one)),converse(complement(one)))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_1266,plain,
( complement(complement(one)) != one
| meet(complement(complement(one)),converse(complement(one))) = meet(one,converse(complement(one))) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(one)),converse(complement(one))),meet(complement(complement(one)),converse(complement(one)))) )],[refute_0_1264,refute_0_1265]) ).
cnf(refute_0_1267,plain,
meet(complement(complement(one)),converse(complement(one))) = meet(one,converse(complement(one))),
inference(resolve,[$cnf( $equal(complement(complement(one)),one) )],[refute_0_1263,refute_0_1266]) ).
cnf(refute_0_1268,plain,
meet(converse(complement(one)),complement(complement(one))) = meet(complement(complement(one)),converse(complement(one))),
inference(subst,[],[refute_0_901:[bind(X_13,$fot(complement(complement(one)))),bind(X_14,$fot(converse(complement(one))))]]) ).
cnf(refute_0_1269,plain,
( meet(complement(complement(one)),converse(complement(one))) != meet(one,converse(complement(one)))
| meet(converse(complement(one)),complement(complement(one))) != meet(complement(complement(one)),converse(complement(one)))
| meet(converse(complement(one)),complement(complement(one))) = meet(one,converse(complement(one))) ),
inference(subst,[],[refute_0_71:[bind(X,$fot(meet(converse(complement(one)),complement(complement(one))))),bind(Y,$fot(meet(complement(complement(one)),converse(complement(one))))),bind(Z,$fot(meet(one,converse(complement(one)))))]]) ).
cnf(refute_0_1270,plain,
( meet(complement(complement(one)),converse(complement(one))) != meet(one,converse(complement(one)))
| meet(converse(complement(one)),complement(complement(one))) = meet(one,converse(complement(one))) ),
inference(resolve,[$cnf( $equal(meet(converse(complement(one)),complement(complement(one))),meet(complement(complement(one)),converse(complement(one)))) )],[refute_0_1268,refute_0_1269]) ).
cnf(refute_0_1271,plain,
meet(converse(complement(one)),complement(complement(one))) = meet(one,converse(complement(one))),
inference(resolve,[$cnf( $equal(meet(complement(complement(one)),converse(complement(one))),meet(one,converse(complement(one)))) )],[refute_0_1267,refute_0_1270]) ).
cnf(refute_0_1272,plain,
join(complement(one),meet(converse(complement(one)),complement(complement(one)))) = join(complement(one),meet(converse(complement(one)),complement(complement(one)))),
introduced(tautology,[refl,[$fot(join(complement(one),meet(converse(complement(one)),complement(complement(one)))))]]) ).
cnf(refute_0_1273,plain,
( join(complement(one),meet(converse(complement(one)),complement(complement(one)))) != join(complement(one),meet(converse(complement(one)),complement(complement(one))))
| meet(converse(complement(one)),complement(complement(one))) != meet(one,converse(complement(one)))
| join(complement(one),meet(converse(complement(one)),complement(complement(one)))) = join(complement(one),meet(one,converse(complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),meet(converse(complement(one)),complement(complement(one)))),join(complement(one),meet(converse(complement(one)),complement(complement(one))))) ),[1,1],$fot(meet(one,converse(complement(one))))]]) ).
cnf(refute_0_1274,plain,
( meet(converse(complement(one)),complement(complement(one))) != meet(one,converse(complement(one)))
| join(complement(one),meet(converse(complement(one)),complement(complement(one)))) = join(complement(one),meet(one,converse(complement(one)))) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(converse(complement(one)),complement(complement(one)))),join(complement(one),meet(converse(complement(one)),complement(complement(one))))) )],[refute_0_1272,refute_0_1273]) ).
cnf(refute_0_1275,plain,
join(complement(one),meet(converse(complement(one)),complement(complement(one)))) = join(complement(one),meet(one,converse(complement(one)))),
inference(resolve,[$cnf( $equal(meet(converse(complement(one)),complement(complement(one))),meet(one,converse(complement(one)))) )],[refute_0_1271,refute_0_1274]) ).
cnf(refute_0_1276,plain,
( converse(complement(one)) != join(complement(one),meet(converse(complement(one)),complement(complement(one))))
| join(complement(one),meet(converse(complement(one)),complement(complement(one)))) != join(complement(one),meet(one,converse(complement(one))))
| converse(complement(one)) = join(complement(one),meet(one,converse(complement(one)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(complement(one)),join(complement(one),meet(one,converse(complement(one))))) ),[0],$fot(join(complement(one),meet(converse(complement(one)),complement(complement(one)))))]]) ).
cnf(refute_0_1277,plain,
( converse(complement(one)) != join(complement(one),meet(converse(complement(one)),complement(complement(one))))
| converse(complement(one)) = join(complement(one),meet(one,converse(complement(one)))) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(converse(complement(one)),complement(complement(one)))),join(complement(one),meet(one,converse(complement(one))))) )],[refute_0_1275,refute_0_1276]) ).
cnf(refute_0_1278,plain,
converse(complement(one)) = join(complement(one),meet(one,converse(complement(one)))),
inference(resolve,[$cnf( $equal(converse(complement(one)),join(complement(one),meet(converse(complement(one)),complement(complement(one))))) )],[refute_0_1262,refute_0_1277]) ).
cnf(refute_0_1279,plain,
join(zero,complement(one)) = complement(one),
inference(subst,[],[refute_0_396:[bind(X_75,$fot(complement(one)))]]) ).
cnf(refute_0_1280,plain,
join(complement(one),join(X_45,meet(one,complement(meet(one,complement(meet(one,converse(complement(one))))))))) = join(X_45,join(complement(one),meet(one,complement(meet(one,complement(meet(one,converse(complement(one))))))))),
inference(subst,[],[refute_0_546:[bind(X_44,$fot(complement(one))),bind(X_46,$fot(meet(one,complement(meet(one,complement(meet(one,converse(complement(one)))))))))]]) ).
cnf(refute_0_1281,plain,
complement(meet(one,complement(meet(one,converse(complement(one)))))) = join(meet(complement(one),complement(meet(one,complement(meet(one,converse(complement(one))))))),meet(complement(meet(one,complement(meet(one,converse(complement(one)))))),complement(complement(one)))),
inference(subst,[],[refute_0_438:[bind(X_73,$fot(complement(meet(one,complement(meet(one,converse(complement(one)))))))),bind(X_74,$fot(complement(one)))]]) ).
cnf(refute_0_1282,plain,
complement(one) = meet(complement(one),join(complement(complement(meet(one,converse(complement(one))))),meet(complement(one),complement(meet(one,converse(complement(one))))))),
inference(subst,[],[refute_0_864:[bind(X_14,$fot(complement(meet(one,converse(complement(one)))))),bind(X_73,$fot(complement(one)))]]) ).
cnf(refute_0_1283,plain,
X_95 = meet(X_95,join(complement(converse(complement(converse(complement(X_95))))),meet(X_95,converse(complement(converse(complement(X_95))))))),
inference(subst,[],[refute_0_864:[bind(X_14,$fot(converse(complement(converse(complement(X_95)))))),bind(X_73,$fot(X_95))]]) ).
cnf(refute_0_1284,plain,
X_95 = meet(X_95,converse(complement(converse(complement(X_95))))),
inference(subst,[],[refute_0_651:[bind(X_73,$fot(X_95))]]) ).
cnf(refute_0_1285,plain,
( X_95 != meet(X_95,converse(complement(converse(complement(X_95)))))
| meet(X_95,converse(complement(converse(complement(X_95))))) = X_95 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(X_95)),bind(Y,$fot(meet(X_95,converse(complement(converse(complement(X_95)))))))]]) ).
cnf(refute_0_1286,plain,
meet(X_95,converse(complement(converse(complement(X_95))))) = X_95,
inference(resolve,[$cnf( $equal(X_95,meet(X_95,converse(complement(converse(complement(X_95)))))) )],[refute_0_1284,refute_0_1285]) ).
cnf(refute_0_1287,plain,
( X_95 != meet(X_95,join(complement(converse(complement(converse(complement(X_95))))),meet(X_95,converse(complement(converse(complement(X_95)))))))
| meet(X_95,converse(complement(converse(complement(X_95))))) != X_95
| X_95 = meet(X_95,join(complement(converse(complement(converse(complement(X_95))))),X_95)) ),
introduced(tautology,[equality,[$cnf( $equal(X_95,meet(X_95,join(complement(converse(complement(converse(complement(X_95))))),meet(X_95,converse(complement(converse(complement(X_95)))))))) ),[1,1,1],$fot(X_95)]]) ).
cnf(refute_0_1288,plain,
( X_95 != meet(X_95,join(complement(converse(complement(converse(complement(X_95))))),meet(X_95,converse(complement(converse(complement(X_95)))))))
| X_95 = meet(X_95,join(complement(converse(complement(converse(complement(X_95))))),X_95)) ),
inference(resolve,[$cnf( $equal(meet(X_95,converse(complement(converse(complement(X_95))))),X_95) )],[refute_0_1286,refute_0_1287]) ).
cnf(refute_0_1289,plain,
X_95 = meet(X_95,join(complement(converse(complement(converse(complement(X_95))))),X_95)),
inference(resolve,[$cnf( $equal(X_95,meet(X_95,join(complement(converse(complement(converse(complement(X_95))))),meet(X_95,converse(complement(converse(complement(X_95)))))))) )],[refute_0_1283,refute_0_1288]) ).
cnf(refute_0_1290,plain,
join(complement(converse(complement(converse(complement(X_95))))),X_95) = join(X_95,complement(converse(complement(converse(complement(X_95)))))),
inference(subst,[],[refute_0_6:[bind(X0,$fot(X_95)),bind(X1,$fot(complement(converse(complement(converse(complement(X_95)))))))]]) ).
cnf(refute_0_1291,plain,
meet(X_95,join(complement(converse(complement(converse(complement(X_95))))),X_95)) = meet(X_95,join(complement(converse(complement(converse(complement(X_95))))),X_95)),
introduced(tautology,[refl,[$fot(meet(X_95,join(complement(converse(complement(converse(complement(X_95))))),X_95)))]]) ).
cnf(refute_0_1292,plain,
( join(complement(converse(complement(converse(complement(X_95))))),X_95) != join(X_95,complement(converse(complement(converse(complement(X_95))))))
| meet(X_95,join(complement(converse(complement(converse(complement(X_95))))),X_95)) != meet(X_95,join(complement(converse(complement(converse(complement(X_95))))),X_95))
| meet(X_95,join(complement(converse(complement(converse(complement(X_95))))),X_95)) = meet(X_95,join(X_95,complement(converse(complement(converse(complement(X_95))))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_95,join(complement(converse(complement(converse(complement(X_95))))),X_95)),meet(X_95,join(complement(converse(complement(converse(complement(X_95))))),X_95))) ),[1,1],$fot(join(X_95,complement(converse(complement(converse(complement(X_95)))))))]]) ).
cnf(refute_0_1293,plain,
( join(complement(converse(complement(converse(complement(X_95))))),X_95) != join(X_95,complement(converse(complement(converse(complement(X_95))))))
| meet(X_95,join(complement(converse(complement(converse(complement(X_95))))),X_95)) = meet(X_95,join(X_95,complement(converse(complement(converse(complement(X_95))))))) ),
inference(resolve,[$cnf( $equal(meet(X_95,join(complement(converse(complement(converse(complement(X_95))))),X_95)),meet(X_95,join(complement(converse(complement(converse(complement(X_95))))),X_95))) )],[refute_0_1291,refute_0_1292]) ).
cnf(refute_0_1294,plain,
meet(X_95,join(complement(converse(complement(converse(complement(X_95))))),X_95)) = meet(X_95,join(X_95,complement(converse(complement(converse(complement(X_95))))))),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(converse(complement(X_95))))),X_95),join(X_95,complement(converse(complement(converse(complement(X_95))))))) )],[refute_0_1290,refute_0_1293]) ).
cnf(refute_0_1295,plain,
( X_95 != meet(X_95,join(complement(converse(complement(converse(complement(X_95))))),X_95))
| meet(X_95,join(complement(converse(complement(converse(complement(X_95))))),X_95)) != meet(X_95,join(X_95,complement(converse(complement(converse(complement(X_95)))))))
| X_95 = meet(X_95,join(X_95,complement(converse(complement(converse(complement(X_95))))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_95,meet(X_95,join(X_95,complement(converse(complement(converse(complement(X_95)))))))) ),[0],$fot(meet(X_95,join(complement(converse(complement(converse(complement(X_95))))),X_95)))]]) ).
cnf(refute_0_1296,plain,
( X_95 != meet(X_95,join(complement(converse(complement(converse(complement(X_95))))),X_95))
| X_95 = meet(X_95,join(X_95,complement(converse(complement(converse(complement(X_95))))))) ),
inference(resolve,[$cnf( $equal(meet(X_95,join(complement(converse(complement(converse(complement(X_95))))),X_95)),meet(X_95,join(X_95,complement(converse(complement(converse(complement(X_95)))))))) )],[refute_0_1294,refute_0_1295]) ).
cnf(refute_0_1297,plain,
X_95 = meet(X_95,join(X_95,complement(converse(complement(converse(complement(X_95))))))),
inference(resolve,[$cnf( $equal(X_95,meet(X_95,join(complement(converse(complement(converse(complement(X_95))))),X_95))) )],[refute_0_1289,refute_0_1296]) ).
cnf(refute_0_1298,plain,
complement(X1) = meet(complement(X1),join(complement(X1),complement(converse(complement(converse(complement(complement(X1)))))))),
inference(subst,[],[refute_0_1297:[bind(X_95,$fot(complement(X1)))]]) ).
cnf(refute_0_1299,plain,
( complement(X1) != meet(complement(X1),join(complement(X1),complement(converse(complement(converse(complement(complement(X1))))))))
| complement(complement(X1)) != X1
| complement(X1) = meet(complement(X1),join(complement(X1),complement(converse(complement(converse(X1)))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(X1),meet(complement(X1),join(complement(X1),complement(converse(complement(converse(complement(complement(X1))))))))) ),[1,1,1,0,0,0,0],$fot(X1)]]) ).
cnf(refute_0_1300,plain,
( complement(X1) != meet(complement(X1),join(complement(X1),complement(converse(complement(converse(complement(complement(X1))))))))
| complement(X1) = meet(complement(X1),join(complement(X1),complement(converse(complement(converse(X1)))))) ),
inference(resolve,[$cnf( $equal(complement(complement(X1)),X1) )],[refute_0_781,refute_0_1299]) ).
cnf(refute_0_1301,plain,
complement(X1) = meet(complement(X1),join(complement(X1),complement(converse(complement(converse(X1)))))),
inference(resolve,[$cnf( $equal(complement(X1),meet(complement(X1),join(complement(X1),complement(converse(complement(converse(complement(complement(X1))))))))) )],[refute_0_1298,refute_0_1300]) ).
cnf(refute_0_1302,plain,
join(complement(X1),complement(converse(complement(converse(X1))))) = complement(meet(X1,converse(complement(converse(X1))))),
inference(subst,[],[refute_0_756:[bind(X0,$fot(X1)),bind(X1,$fot(converse(complement(converse(X1)))))]]) ).
cnf(refute_0_1303,plain,
meet(complement(X1),join(complement(X1),complement(converse(complement(converse(X1)))))) = meet(complement(X1),join(complement(X1),complement(converse(complement(converse(X1)))))),
introduced(tautology,[refl,[$fot(meet(complement(X1),join(complement(X1),complement(converse(complement(converse(X1)))))))]]) ).
cnf(refute_0_1304,plain,
( join(complement(X1),complement(converse(complement(converse(X1))))) != complement(meet(X1,converse(complement(converse(X1)))))
| meet(complement(X1),join(complement(X1),complement(converse(complement(converse(X1)))))) != meet(complement(X1),join(complement(X1),complement(converse(complement(converse(X1))))))
| meet(complement(X1),join(complement(X1),complement(converse(complement(converse(X1)))))) = meet(complement(X1),complement(meet(X1,converse(complement(converse(X1)))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(X1),join(complement(X1),complement(converse(complement(converse(X1)))))),meet(complement(X1),join(complement(X1),complement(converse(complement(converse(X1))))))) ),[1,1],$fot(complement(meet(X1,converse(complement(converse(X1))))))]]) ).
cnf(refute_0_1305,plain,
( join(complement(X1),complement(converse(complement(converse(X1))))) != complement(meet(X1,converse(complement(converse(X1)))))
| meet(complement(X1),join(complement(X1),complement(converse(complement(converse(X1)))))) = meet(complement(X1),complement(meet(X1,converse(complement(converse(X1)))))) ),
inference(resolve,[$cnf( $equal(meet(complement(X1),join(complement(X1),complement(converse(complement(converse(X1)))))),meet(complement(X1),join(complement(X1),complement(converse(complement(converse(X1))))))) )],[refute_0_1303,refute_0_1304]) ).
cnf(refute_0_1306,plain,
meet(complement(X1),join(complement(X1),complement(converse(complement(converse(X1)))))) = meet(complement(X1),complement(meet(X1,converse(complement(converse(X1)))))),
inference(resolve,[$cnf( $equal(join(complement(X1),complement(converse(complement(converse(X1))))),complement(meet(X1,converse(complement(converse(X1)))))) )],[refute_0_1302,refute_0_1305]) ).
cnf(refute_0_1307,plain,
( complement(X1) != meet(complement(X1),join(complement(X1),complement(converse(complement(converse(X1))))))
| meet(complement(X1),join(complement(X1),complement(converse(complement(converse(X1)))))) != meet(complement(X1),complement(meet(X1,converse(complement(converse(X1))))))
| complement(X1) = meet(complement(X1),complement(meet(X1,converse(complement(converse(X1)))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(X1),meet(complement(X1),complement(meet(X1,converse(complement(converse(X1))))))) ),[0],$fot(meet(complement(X1),join(complement(X1),complement(converse(complement(converse(X1)))))))]]) ).
cnf(refute_0_1308,plain,
( complement(X1) != meet(complement(X1),join(complement(X1),complement(converse(complement(converse(X1))))))
| complement(X1) = meet(complement(X1),complement(meet(X1,converse(complement(converse(X1)))))) ),
inference(resolve,[$cnf( $equal(meet(complement(X1),join(complement(X1),complement(converse(complement(converse(X1)))))),meet(complement(X1),complement(meet(X1,converse(complement(converse(X1))))))) )],[refute_0_1306,refute_0_1307]) ).
cnf(refute_0_1309,plain,
complement(X1) = meet(complement(X1),complement(meet(X1,converse(complement(converse(X1)))))),
inference(resolve,[$cnf( $equal(complement(X1),meet(complement(X1),join(complement(X1),complement(converse(complement(converse(X1))))))) )],[refute_0_1301,refute_0_1308]) ).
cnf(refute_0_1310,plain,
complement(one) = meet(complement(one),complement(meet(one,converse(complement(converse(one)))))),
inference(subst,[],[refute_0_1309:[bind(X1,$fot(one))]]) ).
cnf(refute_0_1311,plain,
( complement(one) != meet(complement(one),complement(meet(one,converse(complement(converse(one))))))
| converse(one) != one
| complement(one) = meet(complement(one),complement(meet(one,converse(complement(one))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(one),meet(complement(one),complement(meet(one,converse(complement(converse(one))))))) ),[1,1,0,1,0,0],$fot(one)]]) ).
cnf(refute_0_1312,plain,
( complement(one) != meet(complement(one),complement(meet(one,converse(complement(converse(one))))))
| complement(one) = meet(complement(one),complement(meet(one,converse(complement(one))))) ),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_160,refute_0_1311]) ).
cnf(refute_0_1313,plain,
complement(one) = meet(complement(one),complement(meet(one,converse(complement(one))))),
inference(resolve,[$cnf( $equal(complement(one),meet(complement(one),complement(meet(one,converse(complement(converse(one))))))) )],[refute_0_1310,refute_0_1312]) ).
cnf(refute_0_1314,plain,
( complement(one) != meet(complement(one),complement(meet(one,converse(complement(one)))))
| meet(complement(one),complement(meet(one,converse(complement(one))))) = complement(one) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(complement(one))),bind(Y,$fot(meet(complement(one),complement(meet(one,converse(complement(one)))))))]]) ).
cnf(refute_0_1315,plain,
meet(complement(one),complement(meet(one,converse(complement(one))))) = complement(one),
inference(resolve,[$cnf( $equal(complement(one),meet(complement(one),complement(meet(one,converse(complement(one)))))) )],[refute_0_1313,refute_0_1314]) ).
cnf(refute_0_1316,plain,
( complement(one) != meet(complement(one),join(complement(complement(meet(one,converse(complement(one))))),meet(complement(one),complement(meet(one,converse(complement(one)))))))
| meet(complement(one),complement(meet(one,converse(complement(one))))) != complement(one)
| complement(one) = meet(complement(one),join(complement(complement(meet(one,converse(complement(one))))),complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(one),meet(complement(one),join(complement(complement(meet(one,converse(complement(one))))),meet(complement(one),complement(meet(one,converse(complement(one)))))))) ),[1,1,1],$fot(complement(one))]]) ).
cnf(refute_0_1317,plain,
( complement(one) != meet(complement(one),join(complement(complement(meet(one,converse(complement(one))))),meet(complement(one),complement(meet(one,converse(complement(one)))))))
| complement(one) = meet(complement(one),join(complement(complement(meet(one,converse(complement(one))))),complement(one))) ),
inference(resolve,[$cnf( $equal(meet(complement(one),complement(meet(one,converse(complement(one))))),complement(one)) )],[refute_0_1315,refute_0_1316]) ).
cnf(refute_0_1318,plain,
complement(one) = meet(complement(one),join(complement(complement(meet(one,converse(complement(one))))),complement(one))),
inference(resolve,[$cnf( $equal(complement(one),meet(complement(one),join(complement(complement(meet(one,converse(complement(one))))),meet(complement(one),complement(meet(one,converse(complement(one)))))))) )],[refute_0_1282,refute_0_1317]) ).
cnf(refute_0_1319,plain,
meet(complement(meet(one,converse(complement(one)))),one) = meet(one,complement(meet(one,converse(complement(one))))),
inference(subst,[],[refute_0_901:[bind(X_13,$fot(one)),bind(X_14,$fot(complement(meet(one,converse(complement(one))))))]]) ).
cnf(refute_0_1320,plain,
complement(meet(complement(meet(one,converse(complement(one)))),one)) = complement(meet(complement(meet(one,converse(complement(one)))),one)),
introduced(tautology,[refl,[$fot(complement(meet(complement(meet(one,converse(complement(one)))),one)))]]) ).
cnf(refute_0_1321,plain,
( complement(meet(complement(meet(one,converse(complement(one)))),one)) != complement(meet(complement(meet(one,converse(complement(one)))),one))
| meet(complement(meet(one,converse(complement(one)))),one) != meet(one,complement(meet(one,converse(complement(one)))))
| complement(meet(complement(meet(one,converse(complement(one)))),one)) = complement(meet(one,complement(meet(one,converse(complement(one)))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(complement(meet(one,converse(complement(one)))),one)),complement(meet(complement(meet(one,converse(complement(one)))),one))) ),[1,0],$fot(meet(one,complement(meet(one,converse(complement(one))))))]]) ).
cnf(refute_0_1322,plain,
( meet(complement(meet(one,converse(complement(one)))),one) != meet(one,complement(meet(one,converse(complement(one)))))
| complement(meet(complement(meet(one,converse(complement(one)))),one)) = complement(meet(one,complement(meet(one,converse(complement(one)))))) ),
inference(resolve,[$cnf( $equal(complement(meet(complement(meet(one,converse(complement(one)))),one)),complement(meet(complement(meet(one,converse(complement(one)))),one))) )],[refute_0_1320,refute_0_1321]) ).
cnf(refute_0_1323,plain,
complement(meet(complement(meet(one,converse(complement(one)))),one)) = complement(meet(one,complement(meet(one,converse(complement(one)))))),
inference(resolve,[$cnf( $equal(meet(complement(meet(one,converse(complement(one)))),one),meet(one,complement(meet(one,converse(complement(one)))))) )],[refute_0_1319,refute_0_1322]) ).
cnf(refute_0_1324,plain,
join(complement(complement(meet(one,converse(complement(one))))),complement(one)) = complement(meet(complement(meet(one,converse(complement(one)))),one)),
inference(subst,[],[refute_0_756:[bind(X0,$fot(complement(meet(one,converse(complement(one)))))),bind(X1,$fot(one))]]) ).
cnf(refute_0_1325,plain,
( complement(meet(complement(meet(one,converse(complement(one)))),one)) != complement(meet(one,complement(meet(one,converse(complement(one))))))
| join(complement(complement(meet(one,converse(complement(one))))),complement(one)) != complement(meet(complement(meet(one,converse(complement(one)))),one))
| join(complement(complement(meet(one,converse(complement(one))))),complement(one)) = complement(meet(one,complement(meet(one,converse(complement(one)))))) ),
inference(subst,[],[refute_0_71:[bind(X,$fot(join(complement(complement(meet(one,converse(complement(one))))),complement(one)))),bind(Y,$fot(complement(meet(complement(meet(one,converse(complement(one)))),one)))),bind(Z,$fot(complement(meet(one,complement(meet(one,converse(complement(one))))))))]]) ).
cnf(refute_0_1326,plain,
( complement(meet(complement(meet(one,converse(complement(one)))),one)) != complement(meet(one,complement(meet(one,converse(complement(one))))))
| join(complement(complement(meet(one,converse(complement(one))))),complement(one)) = complement(meet(one,complement(meet(one,converse(complement(one)))))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(meet(one,converse(complement(one))))),complement(one)),complement(meet(complement(meet(one,converse(complement(one)))),one))) )],[refute_0_1324,refute_0_1325]) ).
cnf(refute_0_1327,plain,
join(complement(complement(meet(one,converse(complement(one))))),complement(one)) = complement(meet(one,complement(meet(one,converse(complement(one)))))),
inference(resolve,[$cnf( $equal(complement(meet(complement(meet(one,converse(complement(one)))),one)),complement(meet(one,complement(meet(one,converse(complement(one))))))) )],[refute_0_1323,refute_0_1326]) ).
cnf(refute_0_1328,plain,
meet(complement(one),join(complement(complement(meet(one,converse(complement(one))))),complement(one))) = meet(complement(one),join(complement(complement(meet(one,converse(complement(one))))),complement(one))),
introduced(tautology,[refl,[$fot(meet(complement(one),join(complement(complement(meet(one,converse(complement(one))))),complement(one))))]]) ).
cnf(refute_0_1329,plain,
( join(complement(complement(meet(one,converse(complement(one))))),complement(one)) != complement(meet(one,complement(meet(one,converse(complement(one))))))
| meet(complement(one),join(complement(complement(meet(one,converse(complement(one))))),complement(one))) != meet(complement(one),join(complement(complement(meet(one,converse(complement(one))))),complement(one)))
| meet(complement(one),join(complement(complement(meet(one,converse(complement(one))))),complement(one))) = meet(complement(one),complement(meet(one,complement(meet(one,converse(complement(one))))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(one),join(complement(complement(meet(one,converse(complement(one))))),complement(one))),meet(complement(one),join(complement(complement(meet(one,converse(complement(one))))),complement(one)))) ),[1,1],$fot(complement(meet(one,complement(meet(one,converse(complement(one)))))))]]) ).
cnf(refute_0_1330,plain,
( join(complement(complement(meet(one,converse(complement(one))))),complement(one)) != complement(meet(one,complement(meet(one,converse(complement(one))))))
| meet(complement(one),join(complement(complement(meet(one,converse(complement(one))))),complement(one))) = meet(complement(one),complement(meet(one,complement(meet(one,converse(complement(one))))))) ),
inference(resolve,[$cnf( $equal(meet(complement(one),join(complement(complement(meet(one,converse(complement(one))))),complement(one))),meet(complement(one),join(complement(complement(meet(one,converse(complement(one))))),complement(one)))) )],[refute_0_1328,refute_0_1329]) ).
cnf(refute_0_1331,plain,
meet(complement(one),join(complement(complement(meet(one,converse(complement(one))))),complement(one))) = meet(complement(one),complement(meet(one,complement(meet(one,converse(complement(one))))))),
inference(resolve,[$cnf( $equal(join(complement(complement(meet(one,converse(complement(one))))),complement(one)),complement(meet(one,complement(meet(one,converse(complement(one))))))) )],[refute_0_1327,refute_0_1330]) ).
cnf(refute_0_1332,plain,
( complement(one) != meet(complement(one),join(complement(complement(meet(one,converse(complement(one))))),complement(one)))
| meet(complement(one),join(complement(complement(meet(one,converse(complement(one))))),complement(one))) != meet(complement(one),complement(meet(one,complement(meet(one,converse(complement(one)))))))
| complement(one) = meet(complement(one),complement(meet(one,complement(meet(one,converse(complement(one))))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(one),meet(complement(one),complement(meet(one,complement(meet(one,converse(complement(one)))))))) ),[0],$fot(meet(complement(one),join(complement(complement(meet(one,converse(complement(one))))),complement(one))))]]) ).
cnf(refute_0_1333,plain,
( complement(one) != meet(complement(one),join(complement(complement(meet(one,converse(complement(one))))),complement(one)))
| complement(one) = meet(complement(one),complement(meet(one,complement(meet(one,converse(complement(one))))))) ),
inference(resolve,[$cnf( $equal(meet(complement(one),join(complement(complement(meet(one,converse(complement(one))))),complement(one))),meet(complement(one),complement(meet(one,complement(meet(one,converse(complement(one)))))))) )],[refute_0_1331,refute_0_1332]) ).
cnf(refute_0_1334,plain,
complement(one) = meet(complement(one),complement(meet(one,complement(meet(one,converse(complement(one))))))),
inference(resolve,[$cnf( $equal(complement(one),meet(complement(one),join(complement(complement(meet(one,converse(complement(one))))),complement(one)))) )],[refute_0_1318,refute_0_1333]) ).
cnf(refute_0_1335,plain,
( complement(one) != meet(complement(one),complement(meet(one,complement(meet(one,converse(complement(one)))))))
| meet(complement(one),complement(meet(one,complement(meet(one,converse(complement(one))))))) = complement(one) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(complement(one))),bind(Y,$fot(meet(complement(one),complement(meet(one,complement(meet(one,converse(complement(one)))))))))]]) ).
cnf(refute_0_1336,plain,
meet(complement(one),complement(meet(one,complement(meet(one,converse(complement(one))))))) = complement(one),
inference(resolve,[$cnf( $equal(complement(one),meet(complement(one),complement(meet(one,complement(meet(one,converse(complement(one)))))))) )],[refute_0_1334,refute_0_1335]) ).
cnf(refute_0_1337,plain,
( complement(meet(one,complement(meet(one,converse(complement(one)))))) != join(meet(complement(one),complement(meet(one,complement(meet(one,converse(complement(one))))))),meet(complement(meet(one,complement(meet(one,converse(complement(one)))))),complement(complement(one))))
| meet(complement(one),complement(meet(one,complement(meet(one,converse(complement(one))))))) != complement(one)
| complement(meet(one,complement(meet(one,converse(complement(one)))))) = join(complement(one),meet(complement(meet(one,complement(meet(one,converse(complement(one)))))),complement(complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(one,complement(meet(one,converse(complement(one)))))),join(meet(complement(one),complement(meet(one,complement(meet(one,converse(complement(one))))))),meet(complement(meet(one,complement(meet(one,converse(complement(one)))))),complement(complement(one))))) ),[1,0],$fot(complement(one))]]) ).
cnf(refute_0_1338,plain,
( complement(meet(one,complement(meet(one,converse(complement(one)))))) != join(meet(complement(one),complement(meet(one,complement(meet(one,converse(complement(one))))))),meet(complement(meet(one,complement(meet(one,converse(complement(one)))))),complement(complement(one))))
| complement(meet(one,complement(meet(one,converse(complement(one)))))) = join(complement(one),meet(complement(meet(one,complement(meet(one,converse(complement(one)))))),complement(complement(one)))) ),
inference(resolve,[$cnf( $equal(meet(complement(one),complement(meet(one,complement(meet(one,converse(complement(one))))))),complement(one)) )],[refute_0_1336,refute_0_1337]) ).
cnf(refute_0_1339,plain,
complement(meet(one,complement(meet(one,converse(complement(one)))))) = join(complement(one),meet(complement(meet(one,complement(meet(one,converse(complement(one)))))),complement(complement(one)))),
inference(resolve,[$cnf( $equal(complement(meet(one,complement(meet(one,converse(complement(one)))))),join(meet(complement(one),complement(meet(one,complement(meet(one,converse(complement(one))))))),meet(complement(meet(one,complement(meet(one,converse(complement(one)))))),complement(complement(one))))) )],[refute_0_1281,refute_0_1338]) ).
cnf(refute_0_1340,plain,
meet(complement(complement(one)),complement(meet(one,complement(meet(one,converse(complement(one))))))) = meet(complement(complement(one)),complement(meet(one,complement(meet(one,converse(complement(one))))))),
introduced(tautology,[refl,[$fot(meet(complement(complement(one)),complement(meet(one,complement(meet(one,converse(complement(one))))))))]]) ).
cnf(refute_0_1341,plain,
( complement(complement(one)) != one
| meet(complement(complement(one)),complement(meet(one,complement(meet(one,converse(complement(one))))))) != meet(complement(complement(one)),complement(meet(one,complement(meet(one,converse(complement(one)))))))
| meet(complement(complement(one)),complement(meet(one,complement(meet(one,converse(complement(one))))))) = meet(one,complement(meet(one,complement(meet(one,converse(complement(one))))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(complement(one)),complement(meet(one,complement(meet(one,converse(complement(one))))))),meet(complement(complement(one)),complement(meet(one,complement(meet(one,converse(complement(one)))))))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_1342,plain,
( complement(complement(one)) != one
| meet(complement(complement(one)),complement(meet(one,complement(meet(one,converse(complement(one))))))) = meet(one,complement(meet(one,complement(meet(one,converse(complement(one))))))) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(one)),complement(meet(one,complement(meet(one,converse(complement(one))))))),meet(complement(complement(one)),complement(meet(one,complement(meet(one,converse(complement(one)))))))) )],[refute_0_1340,refute_0_1341]) ).
cnf(refute_0_1343,plain,
meet(complement(complement(one)),complement(meet(one,complement(meet(one,converse(complement(one))))))) = meet(one,complement(meet(one,complement(meet(one,converse(complement(one))))))),
inference(resolve,[$cnf( $equal(complement(complement(one)),one) )],[refute_0_1263,refute_0_1342]) ).
cnf(refute_0_1344,plain,
meet(complement(meet(one,complement(meet(one,converse(complement(one)))))),complement(complement(one))) = meet(complement(complement(one)),complement(meet(one,complement(meet(one,converse(complement(one))))))),
inference(subst,[],[refute_0_901:[bind(X_13,$fot(complement(complement(one)))),bind(X_14,$fot(complement(meet(one,complement(meet(one,converse(complement(one))))))))]]) ).
cnf(refute_0_1345,plain,
( meet(complement(complement(one)),complement(meet(one,complement(meet(one,converse(complement(one))))))) != meet(one,complement(meet(one,complement(meet(one,converse(complement(one)))))))
| meet(complement(meet(one,complement(meet(one,converse(complement(one)))))),complement(complement(one))) != meet(complement(complement(one)),complement(meet(one,complement(meet(one,converse(complement(one)))))))
| meet(complement(meet(one,complement(meet(one,converse(complement(one)))))),complement(complement(one))) = meet(one,complement(meet(one,complement(meet(one,converse(complement(one))))))) ),
inference(subst,[],[refute_0_71:[bind(X,$fot(meet(complement(meet(one,complement(meet(one,converse(complement(one)))))),complement(complement(one))))),bind(Y,$fot(meet(complement(complement(one)),complement(meet(one,complement(meet(one,converse(complement(one))))))))),bind(Z,$fot(meet(one,complement(meet(one,complement(meet(one,converse(complement(one)))))))))]]) ).
cnf(refute_0_1346,plain,
( meet(complement(complement(one)),complement(meet(one,complement(meet(one,converse(complement(one))))))) != meet(one,complement(meet(one,complement(meet(one,converse(complement(one)))))))
| meet(complement(meet(one,complement(meet(one,converse(complement(one)))))),complement(complement(one))) = meet(one,complement(meet(one,complement(meet(one,converse(complement(one))))))) ),
inference(resolve,[$cnf( $equal(meet(complement(meet(one,complement(meet(one,converse(complement(one)))))),complement(complement(one))),meet(complement(complement(one)),complement(meet(one,complement(meet(one,converse(complement(one)))))))) )],[refute_0_1344,refute_0_1345]) ).
cnf(refute_0_1347,plain,
meet(complement(meet(one,complement(meet(one,converse(complement(one)))))),complement(complement(one))) = meet(one,complement(meet(one,complement(meet(one,converse(complement(one))))))),
inference(resolve,[$cnf( $equal(meet(complement(complement(one)),complement(meet(one,complement(meet(one,converse(complement(one))))))),meet(one,complement(meet(one,complement(meet(one,converse(complement(one)))))))) )],[refute_0_1343,refute_0_1346]) ).
cnf(refute_0_1348,plain,
join(complement(one),meet(complement(meet(one,complement(meet(one,converse(complement(one)))))),complement(complement(one)))) = join(complement(one),meet(complement(meet(one,complement(meet(one,converse(complement(one)))))),complement(complement(one)))),
introduced(tautology,[refl,[$fot(join(complement(one),meet(complement(meet(one,complement(meet(one,converse(complement(one)))))),complement(complement(one)))))]]) ).
cnf(refute_0_1349,plain,
( join(complement(one),meet(complement(meet(one,complement(meet(one,converse(complement(one)))))),complement(complement(one)))) != join(complement(one),meet(complement(meet(one,complement(meet(one,converse(complement(one)))))),complement(complement(one))))
| meet(complement(meet(one,complement(meet(one,converse(complement(one)))))),complement(complement(one))) != meet(one,complement(meet(one,complement(meet(one,converse(complement(one)))))))
| join(complement(one),meet(complement(meet(one,complement(meet(one,converse(complement(one)))))),complement(complement(one)))) = join(complement(one),meet(one,complement(meet(one,complement(meet(one,converse(complement(one)))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),meet(complement(meet(one,complement(meet(one,converse(complement(one)))))),complement(complement(one)))),join(complement(one),meet(complement(meet(one,complement(meet(one,converse(complement(one)))))),complement(complement(one))))) ),[1,1],$fot(meet(one,complement(meet(one,complement(meet(one,converse(complement(one))))))))]]) ).
cnf(refute_0_1350,plain,
( meet(complement(meet(one,complement(meet(one,converse(complement(one)))))),complement(complement(one))) != meet(one,complement(meet(one,complement(meet(one,converse(complement(one)))))))
| join(complement(one),meet(complement(meet(one,complement(meet(one,converse(complement(one)))))),complement(complement(one)))) = join(complement(one),meet(one,complement(meet(one,complement(meet(one,converse(complement(one)))))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(complement(meet(one,complement(meet(one,converse(complement(one)))))),complement(complement(one)))),join(complement(one),meet(complement(meet(one,complement(meet(one,converse(complement(one)))))),complement(complement(one))))) )],[refute_0_1348,refute_0_1349]) ).
cnf(refute_0_1351,plain,
join(complement(one),meet(complement(meet(one,complement(meet(one,converse(complement(one)))))),complement(complement(one)))) = join(complement(one),meet(one,complement(meet(one,complement(meet(one,converse(complement(one)))))))),
inference(resolve,[$cnf( $equal(meet(complement(meet(one,complement(meet(one,converse(complement(one)))))),complement(complement(one))),meet(one,complement(meet(one,complement(meet(one,converse(complement(one)))))))) )],[refute_0_1347,refute_0_1350]) ).
cnf(refute_0_1352,plain,
( complement(meet(one,complement(meet(one,converse(complement(one)))))) != join(complement(one),meet(complement(meet(one,complement(meet(one,converse(complement(one)))))),complement(complement(one))))
| join(complement(one),meet(complement(meet(one,complement(meet(one,converse(complement(one)))))),complement(complement(one)))) != join(complement(one),meet(one,complement(meet(one,complement(meet(one,converse(complement(one))))))))
| complement(meet(one,complement(meet(one,converse(complement(one)))))) = join(complement(one),meet(one,complement(meet(one,complement(meet(one,converse(complement(one)))))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(meet(one,complement(meet(one,converse(complement(one)))))),join(complement(one),meet(one,complement(meet(one,complement(meet(one,converse(complement(one))))))))) ),[0],$fot(join(complement(one),meet(complement(meet(one,complement(meet(one,converse(complement(one)))))),complement(complement(one)))))]]) ).
cnf(refute_0_1353,plain,
( complement(meet(one,complement(meet(one,converse(complement(one)))))) != join(complement(one),meet(complement(meet(one,complement(meet(one,converse(complement(one)))))),complement(complement(one))))
| complement(meet(one,complement(meet(one,converse(complement(one)))))) = join(complement(one),meet(one,complement(meet(one,complement(meet(one,converse(complement(one)))))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(complement(meet(one,complement(meet(one,converse(complement(one)))))),complement(complement(one)))),join(complement(one),meet(one,complement(meet(one,complement(meet(one,converse(complement(one))))))))) )],[refute_0_1351,refute_0_1352]) ).
cnf(refute_0_1354,plain,
complement(meet(one,complement(meet(one,converse(complement(one)))))) = join(complement(one),meet(one,complement(meet(one,complement(meet(one,converse(complement(one)))))))),
inference(resolve,[$cnf( $equal(complement(meet(one,complement(meet(one,converse(complement(one)))))),join(complement(one),meet(complement(meet(one,complement(meet(one,converse(complement(one)))))),complement(complement(one))))) )],[refute_0_1339,refute_0_1353]) ).
cnf(refute_0_1355,plain,
( complement(meet(one,complement(meet(one,converse(complement(one)))))) != join(complement(one),meet(one,complement(meet(one,complement(meet(one,converse(complement(one))))))))
| join(complement(one),meet(one,complement(meet(one,complement(meet(one,converse(complement(one)))))))) = complement(meet(one,complement(meet(one,converse(complement(one)))))) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(complement(meet(one,complement(meet(one,converse(complement(one)))))))),bind(Y,$fot(join(complement(one),meet(one,complement(meet(one,complement(meet(one,converse(complement(one))))))))))]]) ).
cnf(refute_0_1356,plain,
join(complement(one),meet(one,complement(meet(one,complement(meet(one,converse(complement(one)))))))) = complement(meet(one,complement(meet(one,converse(complement(one)))))),
inference(resolve,[$cnf( $equal(complement(meet(one,complement(meet(one,converse(complement(one)))))),join(complement(one),meet(one,complement(meet(one,complement(meet(one,converse(complement(one))))))))) )],[refute_0_1354,refute_0_1355]) ).
cnf(refute_0_1357,plain,
( join(complement(one),join(X_45,meet(one,complement(meet(one,complement(meet(one,converse(complement(one))))))))) != join(X_45,join(complement(one),meet(one,complement(meet(one,complement(meet(one,converse(complement(one)))))))))
| join(complement(one),meet(one,complement(meet(one,complement(meet(one,converse(complement(one)))))))) != complement(meet(one,complement(meet(one,converse(complement(one))))))
| join(complement(one),join(X_45,meet(one,complement(meet(one,complement(meet(one,converse(complement(one))))))))) = join(X_45,complement(meet(one,complement(meet(one,converse(complement(one))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),join(X_45,meet(one,complement(meet(one,complement(meet(one,converse(complement(one))))))))),join(X_45,join(complement(one),meet(one,complement(meet(one,complement(meet(one,converse(complement(one)))))))))) ),[1,1],$fot(complement(meet(one,complement(meet(one,converse(complement(one)))))))]]) ).
cnf(refute_0_1358,plain,
( join(complement(one),join(X_45,meet(one,complement(meet(one,complement(meet(one,converse(complement(one))))))))) != join(X_45,join(complement(one),meet(one,complement(meet(one,complement(meet(one,converse(complement(one)))))))))
| join(complement(one),join(X_45,meet(one,complement(meet(one,complement(meet(one,converse(complement(one))))))))) = join(X_45,complement(meet(one,complement(meet(one,converse(complement(one))))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(one,complement(meet(one,complement(meet(one,converse(complement(one)))))))),complement(meet(one,complement(meet(one,converse(complement(one))))))) )],[refute_0_1356,refute_0_1357]) ).
cnf(refute_0_1359,plain,
join(complement(one),join(X_45,meet(one,complement(meet(one,complement(meet(one,converse(complement(one))))))))) = join(X_45,complement(meet(one,complement(meet(one,converse(complement(one))))))),
inference(resolve,[$cnf( $equal(join(complement(one),join(X_45,meet(one,complement(meet(one,complement(meet(one,converse(complement(one))))))))),join(X_45,join(complement(one),meet(one,complement(meet(one,complement(meet(one,converse(complement(one)))))))))) )],[refute_0_1280,refute_0_1358]) ).
cnf(refute_0_1360,plain,
join(X_45,zero) = X_45,
inference(subst,[],[refute_0_816:[bind(X_75,$fot(X_45))]]) ).
cnf(refute_0_1361,plain,
meet(one,complement(one)) = zero,
inference(subst,[],[refute_0_819:[bind(X0,$fot(one))]]) ).
cnf(refute_0_1362,plain,
meet(one,top) = one,
inference(subst,[],[refute_0_954:[bind(X_73,$fot(one))]]) ).
cnf(refute_0_1363,plain,
join(complement(converse(complement(one))),converse(join(complement(one),meet(one,converse(complement(one)))))) = top,
inference(subst,[],[refute_0_615:[bind(X1,$fot(complement(one))),bind(X_139,$fot(meet(one,converse(complement(one)))))]]) ).
cnf(refute_0_1364,plain,
( converse(complement(one)) != join(complement(one),meet(one,converse(complement(one))))
| join(complement(one),meet(one,converse(complement(one)))) = converse(complement(one)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(converse(complement(one)))),bind(Y,$fot(join(complement(one),meet(one,converse(complement(one))))))]]) ).
cnf(refute_0_1365,plain,
join(complement(one),meet(one,converse(complement(one)))) = converse(complement(one)),
inference(resolve,[$cnf( $equal(converse(complement(one)),join(complement(one),meet(one,converse(complement(one))))) )],[refute_0_1278,refute_0_1364]) ).
cnf(refute_0_1366,plain,
( join(complement(converse(complement(one))),converse(join(complement(one),meet(one,converse(complement(one)))))) != top
| join(complement(one),meet(one,converse(complement(one)))) != converse(complement(one))
| join(complement(converse(complement(one))),converse(converse(complement(one)))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(complement(one))),converse(join(complement(one),meet(one,converse(complement(one)))))),top) ),[0,1,0],$fot(converse(complement(one)))]]) ).
cnf(refute_0_1367,plain,
( join(complement(converse(complement(one))),converse(join(complement(one),meet(one,converse(complement(one)))))) != top
| join(complement(converse(complement(one))),converse(converse(complement(one)))) = top ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(one,converse(complement(one)))),converse(complement(one))) )],[refute_0_1365,refute_0_1366]) ).
cnf(refute_0_1368,plain,
join(complement(converse(complement(one))),converse(converse(complement(one)))) = top,
inference(resolve,[$cnf( $equal(join(complement(converse(complement(one))),converse(join(complement(one),meet(one,converse(complement(one)))))),top) )],[refute_0_1363,refute_0_1367]) ).
cnf(refute_0_1369,plain,
meet(converse(complement(one)),one) = meet(one,converse(complement(one))),
inference(subst,[],[refute_0_901:[bind(X_13,$fot(one)),bind(X_14,$fot(converse(complement(one))))]]) ).
cnf(refute_0_1370,plain,
complement(meet(converse(complement(one)),one)) = complement(meet(converse(complement(one)),one)),
introduced(tautology,[refl,[$fot(complement(meet(converse(complement(one)),one)))]]) ).
cnf(refute_0_1371,plain,
( complement(meet(converse(complement(one)),one)) != complement(meet(converse(complement(one)),one))
| meet(converse(complement(one)),one) != meet(one,converse(complement(one)))
| complement(meet(converse(complement(one)),one)) = complement(meet(one,converse(complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(converse(complement(one)),one)),complement(meet(converse(complement(one)),one))) ),[1,0],$fot(meet(one,converse(complement(one))))]]) ).
cnf(refute_0_1372,plain,
( meet(converse(complement(one)),one) != meet(one,converse(complement(one)))
| complement(meet(converse(complement(one)),one)) = complement(meet(one,converse(complement(one)))) ),
inference(resolve,[$cnf( $equal(complement(meet(converse(complement(one)),one)),complement(meet(converse(complement(one)),one))) )],[refute_0_1370,refute_0_1371]) ).
cnf(refute_0_1373,plain,
complement(meet(converse(complement(one)),one)) = complement(meet(one,converse(complement(one)))),
inference(resolve,[$cnf( $equal(meet(converse(complement(one)),one),meet(one,converse(complement(one)))) )],[refute_0_1369,refute_0_1372]) ).
cnf(refute_0_1374,plain,
join(complement(converse(complement(one))),complement(one)) = complement(meet(converse(complement(one)),one)),
inference(subst,[],[refute_0_756:[bind(X0,$fot(converse(complement(one)))),bind(X1,$fot(one))]]) ).
cnf(refute_0_1375,plain,
( complement(meet(converse(complement(one)),one)) != complement(meet(one,converse(complement(one))))
| join(complement(converse(complement(one))),complement(one)) != complement(meet(converse(complement(one)),one))
| join(complement(converse(complement(one))),complement(one)) = complement(meet(one,converse(complement(one)))) ),
inference(subst,[],[refute_0_71:[bind(X,$fot(join(complement(converse(complement(one))),complement(one)))),bind(Y,$fot(complement(meet(converse(complement(one)),one)))),bind(Z,$fot(complement(meet(one,converse(complement(one))))))]]) ).
cnf(refute_0_1376,plain,
( complement(meet(converse(complement(one)),one)) != complement(meet(one,converse(complement(one))))
| join(complement(converse(complement(one))),complement(one)) = complement(meet(one,converse(complement(one)))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(one))),complement(one)),complement(meet(converse(complement(one)),one))) )],[refute_0_1374,refute_0_1375]) ).
cnf(refute_0_1377,plain,
join(complement(converse(complement(one))),complement(one)) = complement(meet(one,converse(complement(one)))),
inference(resolve,[$cnf( $equal(complement(meet(converse(complement(one)),one)),complement(meet(one,converse(complement(one))))) )],[refute_0_1373,refute_0_1376]) ).
cnf(refute_0_1378,plain,
converse(converse(complement(one))) = complement(one),
inference(subst,[],[refute_0_35:[bind(X0,$fot(complement(one)))]]) ).
cnf(refute_0_1379,plain,
join(complement(converse(complement(one))),converse(converse(complement(one)))) = join(complement(converse(complement(one))),converse(converse(complement(one)))),
introduced(tautology,[refl,[$fot(join(complement(converse(complement(one))),converse(converse(complement(one)))))]]) ).
cnf(refute_0_1380,plain,
( converse(converse(complement(one))) != complement(one)
| join(complement(converse(complement(one))),converse(converse(complement(one)))) != join(complement(converse(complement(one))),converse(converse(complement(one))))
| join(complement(converse(complement(one))),converse(converse(complement(one)))) = join(complement(converse(complement(one))),complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(complement(one))),converse(converse(complement(one)))),join(complement(converse(complement(one))),converse(converse(complement(one))))) ),[1,1],$fot(complement(one))]]) ).
cnf(refute_0_1381,plain,
( converse(converse(complement(one))) != complement(one)
| join(complement(converse(complement(one))),converse(converse(complement(one)))) = join(complement(converse(complement(one))),complement(one)) ),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(one))),converse(converse(complement(one)))),join(complement(converse(complement(one))),converse(converse(complement(one))))) )],[refute_0_1379,refute_0_1380]) ).
cnf(refute_0_1382,plain,
join(complement(converse(complement(one))),converse(converse(complement(one)))) = join(complement(converse(complement(one))),complement(one)),
inference(resolve,[$cnf( $equal(converse(converse(complement(one))),complement(one)) )],[refute_0_1378,refute_0_1381]) ).
cnf(refute_0_1383,plain,
( join(complement(converse(complement(one))),complement(one)) != complement(meet(one,converse(complement(one))))
| join(complement(converse(complement(one))),converse(converse(complement(one)))) != join(complement(converse(complement(one))),complement(one))
| join(complement(converse(complement(one))),converse(converse(complement(one)))) = complement(meet(one,converse(complement(one)))) ),
inference(subst,[],[refute_0_71:[bind(X,$fot(join(complement(converse(complement(one))),converse(converse(complement(one)))))),bind(Y,$fot(join(complement(converse(complement(one))),complement(one)))),bind(Z,$fot(complement(meet(one,converse(complement(one))))))]]) ).
cnf(refute_0_1384,plain,
( join(complement(converse(complement(one))),complement(one)) != complement(meet(one,converse(complement(one))))
| join(complement(converse(complement(one))),converse(converse(complement(one)))) = complement(meet(one,converse(complement(one)))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(one))),converse(converse(complement(one)))),join(complement(converse(complement(one))),complement(one))) )],[refute_0_1382,refute_0_1383]) ).
cnf(refute_0_1385,plain,
join(complement(converse(complement(one))),converse(converse(complement(one)))) = complement(meet(one,converse(complement(one)))),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(one))),complement(one)),complement(meet(one,converse(complement(one))))) )],[refute_0_1377,refute_0_1384]) ).
cnf(refute_0_1386,plain,
( join(complement(converse(complement(one))),converse(converse(complement(one)))) != complement(meet(one,converse(complement(one))))
| join(complement(converse(complement(one))),converse(converse(complement(one)))) != top
| complement(meet(one,converse(complement(one)))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(complement(one))),converse(converse(complement(one)))),top) ),[0],$fot(complement(meet(one,converse(complement(one)))))]]) ).
cnf(refute_0_1387,plain,
( join(complement(converse(complement(one))),converse(converse(complement(one)))) != top
| complement(meet(one,converse(complement(one)))) = top ),
inference(resolve,[$cnf( $equal(join(complement(converse(complement(one))),converse(converse(complement(one)))),complement(meet(one,converse(complement(one))))) )],[refute_0_1385,refute_0_1386]) ).
cnf(refute_0_1388,plain,
complement(meet(one,converse(complement(one)))) = top,
inference(resolve,[$cnf( $equal(join(complement(converse(complement(one))),converse(converse(complement(one)))),top) )],[refute_0_1368,refute_0_1387]) ).
cnf(refute_0_1389,plain,
meet(one,complement(meet(one,converse(complement(one))))) = meet(one,complement(meet(one,converse(complement(one))))),
introduced(tautology,[refl,[$fot(meet(one,complement(meet(one,converse(complement(one))))))]]) ).
cnf(refute_0_1390,plain,
( complement(meet(one,converse(complement(one)))) != top
| meet(one,complement(meet(one,converse(complement(one))))) != meet(one,complement(meet(one,converse(complement(one)))))
| meet(one,complement(meet(one,converse(complement(one))))) = meet(one,top) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(meet(one,converse(complement(one))))),meet(one,complement(meet(one,converse(complement(one)))))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_1391,plain,
( complement(meet(one,converse(complement(one)))) != top
| meet(one,complement(meet(one,converse(complement(one))))) = meet(one,top) ),
inference(resolve,[$cnf( $equal(meet(one,complement(meet(one,converse(complement(one))))),meet(one,complement(meet(one,converse(complement(one)))))) )],[refute_0_1389,refute_0_1390]) ).
cnf(refute_0_1392,plain,
meet(one,complement(meet(one,converse(complement(one))))) = meet(one,top),
inference(resolve,[$cnf( $equal(complement(meet(one,converse(complement(one)))),top) )],[refute_0_1388,refute_0_1391]) ).
cnf(refute_0_1393,plain,
( meet(one,complement(meet(one,converse(complement(one))))) != meet(one,top)
| meet(one,top) != one
| meet(one,complement(meet(one,converse(complement(one))))) = one ),
inference(subst,[],[refute_0_71:[bind(X,$fot(meet(one,complement(meet(one,converse(complement(one))))))),bind(Y,$fot(meet(one,top))),bind(Z,$fot(one))]]) ).
cnf(refute_0_1394,plain,
( meet(one,top) != one
| meet(one,complement(meet(one,converse(complement(one))))) = one ),
inference(resolve,[$cnf( $equal(meet(one,complement(meet(one,converse(complement(one))))),meet(one,top)) )],[refute_0_1392,refute_0_1393]) ).
cnf(refute_0_1395,plain,
meet(one,complement(meet(one,converse(complement(one))))) = one,
inference(resolve,[$cnf( $equal(meet(one,top),one) )],[refute_0_1362,refute_0_1394]) ).
cnf(refute_0_1396,plain,
complement(meet(one,complement(meet(one,converse(complement(one)))))) = complement(meet(one,complement(meet(one,converse(complement(one)))))),
introduced(tautology,[refl,[$fot(complement(meet(one,complement(meet(one,converse(complement(one)))))))]]) ).
cnf(refute_0_1397,plain,
( complement(meet(one,complement(meet(one,converse(complement(one)))))) != complement(meet(one,complement(meet(one,converse(complement(one))))))
| meet(one,complement(meet(one,converse(complement(one))))) != one
| complement(meet(one,complement(meet(one,converse(complement(one)))))) = complement(one) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(one,complement(meet(one,converse(complement(one)))))),complement(meet(one,complement(meet(one,converse(complement(one))))))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_1398,plain,
( meet(one,complement(meet(one,converse(complement(one))))) != one
| complement(meet(one,complement(meet(one,converse(complement(one)))))) = complement(one) ),
inference(resolve,[$cnf( $equal(complement(meet(one,complement(meet(one,converse(complement(one)))))),complement(meet(one,complement(meet(one,converse(complement(one))))))) )],[refute_0_1396,refute_0_1397]) ).
cnf(refute_0_1399,plain,
complement(meet(one,complement(meet(one,converse(complement(one)))))) = complement(one),
inference(resolve,[$cnf( $equal(meet(one,complement(meet(one,converse(complement(one))))),one) )],[refute_0_1395,refute_0_1398]) ).
cnf(refute_0_1400,plain,
meet(one,complement(meet(one,complement(meet(one,converse(complement(one))))))) = meet(one,complement(meet(one,complement(meet(one,converse(complement(one))))))),
introduced(tautology,[refl,[$fot(meet(one,complement(meet(one,complement(meet(one,converse(complement(one))))))))]]) ).
cnf(refute_0_1401,plain,
( complement(meet(one,complement(meet(one,converse(complement(one)))))) != complement(one)
| meet(one,complement(meet(one,complement(meet(one,converse(complement(one))))))) != meet(one,complement(meet(one,complement(meet(one,converse(complement(one)))))))
| meet(one,complement(meet(one,complement(meet(one,converse(complement(one))))))) = meet(one,complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(meet(one,complement(meet(one,converse(complement(one))))))),meet(one,complement(meet(one,complement(meet(one,converse(complement(one)))))))) ),[1,1],$fot(complement(one))]]) ).
cnf(refute_0_1402,plain,
( complement(meet(one,complement(meet(one,converse(complement(one)))))) != complement(one)
| meet(one,complement(meet(one,complement(meet(one,converse(complement(one))))))) = meet(one,complement(one)) ),
inference(resolve,[$cnf( $equal(meet(one,complement(meet(one,complement(meet(one,converse(complement(one))))))),meet(one,complement(meet(one,complement(meet(one,converse(complement(one)))))))) )],[refute_0_1400,refute_0_1401]) ).
cnf(refute_0_1403,plain,
meet(one,complement(meet(one,complement(meet(one,converse(complement(one))))))) = meet(one,complement(one)),
inference(resolve,[$cnf( $equal(complement(meet(one,complement(meet(one,converse(complement(one)))))),complement(one)) )],[refute_0_1399,refute_0_1402]) ).
cnf(refute_0_1404,plain,
( meet(one,complement(meet(one,complement(meet(one,converse(complement(one))))))) != meet(one,complement(one))
| meet(one,complement(one)) != zero
| meet(one,complement(meet(one,complement(meet(one,converse(complement(one))))))) = zero ),
inference(subst,[],[refute_0_71:[bind(X,$fot(meet(one,complement(meet(one,complement(meet(one,converse(complement(one))))))))),bind(Y,$fot(meet(one,complement(one)))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_1405,plain,
( meet(one,complement(one)) != zero
| meet(one,complement(meet(one,complement(meet(one,converse(complement(one))))))) = zero ),
inference(resolve,[$cnf( $equal(meet(one,complement(meet(one,complement(meet(one,converse(complement(one))))))),meet(one,complement(one))) )],[refute_0_1403,refute_0_1404]) ).
cnf(refute_0_1406,plain,
meet(one,complement(meet(one,complement(meet(one,converse(complement(one))))))) = zero,
inference(resolve,[$cnf( $equal(meet(one,complement(one)),zero) )],[refute_0_1361,refute_0_1405]) ).
cnf(refute_0_1407,plain,
join(X_45,meet(one,complement(meet(one,complement(meet(one,converse(complement(one)))))))) = join(X_45,meet(one,complement(meet(one,complement(meet(one,converse(complement(one)))))))),
introduced(tautology,[refl,[$fot(join(X_45,meet(one,complement(meet(one,complement(meet(one,converse(complement(one)))))))))]]) ).
cnf(refute_0_1408,plain,
( join(X_45,meet(one,complement(meet(one,complement(meet(one,converse(complement(one)))))))) != join(X_45,meet(one,complement(meet(one,complement(meet(one,converse(complement(one))))))))
| meet(one,complement(meet(one,complement(meet(one,converse(complement(one))))))) != zero
| join(X_45,meet(one,complement(meet(one,complement(meet(one,converse(complement(one)))))))) = join(X_45,zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_45,meet(one,complement(meet(one,complement(meet(one,converse(complement(one)))))))),join(X_45,meet(one,complement(meet(one,complement(meet(one,converse(complement(one))))))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_1409,plain,
( meet(one,complement(meet(one,complement(meet(one,converse(complement(one))))))) != zero
| join(X_45,meet(one,complement(meet(one,complement(meet(one,converse(complement(one)))))))) = join(X_45,zero) ),
inference(resolve,[$cnf( $equal(join(X_45,meet(one,complement(meet(one,complement(meet(one,converse(complement(one)))))))),join(X_45,meet(one,complement(meet(one,complement(meet(one,converse(complement(one))))))))) )],[refute_0_1407,refute_0_1408]) ).
cnf(refute_0_1410,plain,
join(X_45,meet(one,complement(meet(one,complement(meet(one,converse(complement(one)))))))) = join(X_45,zero),
inference(resolve,[$cnf( $equal(meet(one,complement(meet(one,complement(meet(one,converse(complement(one))))))),zero) )],[refute_0_1406,refute_0_1409]) ).
cnf(refute_0_1411,plain,
( join(X_45,meet(one,complement(meet(one,complement(meet(one,converse(complement(one)))))))) != join(X_45,zero)
| join(X_45,zero) != X_45
| join(X_45,meet(one,complement(meet(one,complement(meet(one,converse(complement(one)))))))) = X_45 ),
inference(subst,[],[refute_0_71:[bind(X,$fot(join(X_45,meet(one,complement(meet(one,complement(meet(one,converse(complement(one)))))))))),bind(Y,$fot(join(X_45,zero))),bind(Z,$fot(X_45))]]) ).
cnf(refute_0_1412,plain,
( join(X_45,zero) != X_45
| join(X_45,meet(one,complement(meet(one,complement(meet(one,converse(complement(one)))))))) = X_45 ),
inference(resolve,[$cnf( $equal(join(X_45,meet(one,complement(meet(one,complement(meet(one,converse(complement(one)))))))),join(X_45,zero)) )],[refute_0_1410,refute_0_1411]) ).
cnf(refute_0_1413,plain,
join(X_45,meet(one,complement(meet(one,complement(meet(one,converse(complement(one)))))))) = X_45,
inference(resolve,[$cnf( $equal(join(X_45,zero),X_45) )],[refute_0_1360,refute_0_1412]) ).
cnf(refute_0_1414,plain,
join(complement(one),join(X_45,meet(one,complement(meet(one,complement(meet(one,converse(complement(one))))))))) = join(complement(one),join(X_45,meet(one,complement(meet(one,complement(meet(one,converse(complement(one))))))))),
introduced(tautology,[refl,[$fot(join(complement(one),join(X_45,meet(one,complement(meet(one,complement(meet(one,converse(complement(one))))))))))]]) ).
cnf(refute_0_1415,plain,
( join(X_45,meet(one,complement(meet(one,complement(meet(one,converse(complement(one)))))))) != X_45
| join(complement(one),join(X_45,meet(one,complement(meet(one,complement(meet(one,converse(complement(one))))))))) != join(complement(one),join(X_45,meet(one,complement(meet(one,complement(meet(one,converse(complement(one)))))))))
| join(complement(one),join(X_45,meet(one,complement(meet(one,complement(meet(one,converse(complement(one))))))))) = join(complement(one),X_45) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),join(X_45,meet(one,complement(meet(one,complement(meet(one,converse(complement(one))))))))),join(complement(one),join(X_45,meet(one,complement(meet(one,complement(meet(one,converse(complement(one)))))))))) ),[1,1],$fot(X_45)]]) ).
cnf(refute_0_1416,plain,
( join(X_45,meet(one,complement(meet(one,complement(meet(one,converse(complement(one)))))))) != X_45
| join(complement(one),join(X_45,meet(one,complement(meet(one,complement(meet(one,converse(complement(one))))))))) = join(complement(one),X_45) ),
inference(resolve,[$cnf( $equal(join(complement(one),join(X_45,meet(one,complement(meet(one,complement(meet(one,converse(complement(one))))))))),join(complement(one),join(X_45,meet(one,complement(meet(one,complement(meet(one,converse(complement(one)))))))))) )],[refute_0_1414,refute_0_1415]) ).
cnf(refute_0_1417,plain,
join(complement(one),join(X_45,meet(one,complement(meet(one,complement(meet(one,converse(complement(one))))))))) = join(complement(one),X_45),
inference(resolve,[$cnf( $equal(join(X_45,meet(one,complement(meet(one,complement(meet(one,converse(complement(one)))))))),X_45) )],[refute_0_1413,refute_0_1416]) ).
cnf(refute_0_1418,plain,
( join(complement(one),join(X_45,meet(one,complement(meet(one,complement(meet(one,converse(complement(one))))))))) != join(X_45,complement(meet(one,complement(meet(one,converse(complement(one)))))))
| join(complement(one),join(X_45,meet(one,complement(meet(one,complement(meet(one,converse(complement(one))))))))) != join(complement(one),X_45)
| join(complement(one),X_45) = join(X_45,complement(meet(one,complement(meet(one,converse(complement(one))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),join(X_45,meet(one,complement(meet(one,complement(meet(one,converse(complement(one))))))))),join(X_45,complement(meet(one,complement(meet(one,converse(complement(one)))))))) ),[0],$fot(join(complement(one),X_45))]]) ).
cnf(refute_0_1419,plain,
( join(complement(one),join(X_45,meet(one,complement(meet(one,complement(meet(one,converse(complement(one))))))))) != join(X_45,complement(meet(one,complement(meet(one,converse(complement(one)))))))
| join(complement(one),X_45) = join(X_45,complement(meet(one,complement(meet(one,converse(complement(one))))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),join(X_45,meet(one,complement(meet(one,complement(meet(one,converse(complement(one))))))))),join(complement(one),X_45)) )],[refute_0_1417,refute_0_1418]) ).
cnf(refute_0_1420,plain,
join(X_45,complement(meet(one,complement(meet(one,converse(complement(one))))))) = join(X_45,complement(meet(one,complement(meet(one,converse(complement(one))))))),
introduced(tautology,[refl,[$fot(join(X_45,complement(meet(one,complement(meet(one,converse(complement(one))))))))]]) ).
cnf(refute_0_1421,plain,
( complement(meet(one,complement(meet(one,converse(complement(one)))))) != complement(one)
| join(X_45,complement(meet(one,complement(meet(one,converse(complement(one))))))) != join(X_45,complement(meet(one,complement(meet(one,converse(complement(one)))))))
| join(X_45,complement(meet(one,complement(meet(one,converse(complement(one))))))) = join(X_45,complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_45,complement(meet(one,complement(meet(one,converse(complement(one))))))),join(X_45,complement(meet(one,complement(meet(one,converse(complement(one)))))))) ),[1,1],$fot(complement(one))]]) ).
cnf(refute_0_1422,plain,
( complement(meet(one,complement(meet(one,converse(complement(one)))))) != complement(one)
| join(X_45,complement(meet(one,complement(meet(one,converse(complement(one))))))) = join(X_45,complement(one)) ),
inference(resolve,[$cnf( $equal(join(X_45,complement(meet(one,complement(meet(one,converse(complement(one))))))),join(X_45,complement(meet(one,complement(meet(one,converse(complement(one)))))))) )],[refute_0_1420,refute_0_1421]) ).
cnf(refute_0_1423,plain,
join(X_45,complement(meet(one,complement(meet(one,converse(complement(one))))))) = join(X_45,complement(one)),
inference(resolve,[$cnf( $equal(complement(meet(one,complement(meet(one,converse(complement(one)))))),complement(one)) )],[refute_0_1399,refute_0_1422]) ).
cnf(refute_0_1424,plain,
( join(X_45,complement(meet(one,complement(meet(one,converse(complement(one))))))) != join(X_45,complement(one))
| join(complement(one),X_45) != join(X_45,complement(meet(one,complement(meet(one,converse(complement(one)))))))
| join(complement(one),X_45) = join(X_45,complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),X_45),join(X_45,complement(meet(one,complement(meet(one,converse(complement(one)))))))) ),[1],$fot(join(X_45,complement(one)))]]) ).
cnf(refute_0_1425,plain,
( join(complement(one),X_45) != join(X_45,complement(meet(one,complement(meet(one,converse(complement(one)))))))
| join(complement(one),X_45) = join(X_45,complement(one)) ),
inference(resolve,[$cnf( $equal(join(X_45,complement(meet(one,complement(meet(one,converse(complement(one))))))),join(X_45,complement(one))) )],[refute_0_1423,refute_0_1424]) ).
cnf(refute_0_1426,plain,
( join(complement(one),join(X_45,meet(one,complement(meet(one,complement(meet(one,converse(complement(one))))))))) != join(X_45,complement(meet(one,complement(meet(one,converse(complement(one)))))))
| join(complement(one),X_45) = join(X_45,complement(one)) ),
inference(resolve,[$cnf( $equal(join(complement(one),X_45),join(X_45,complement(meet(one,complement(meet(one,converse(complement(one)))))))) )],[refute_0_1419,refute_0_1425]) ).
cnf(refute_0_1427,plain,
join(complement(one),X_45) = join(X_45,complement(one)),
inference(resolve,[$cnf( $equal(join(complement(one),join(X_45,meet(one,complement(meet(one,complement(meet(one,converse(complement(one))))))))),join(X_45,complement(meet(one,complement(meet(one,converse(complement(one)))))))) )],[refute_0_1359,refute_0_1426]) ).
cnf(refute_0_1428,plain,
join(complement(one),zero) = join(zero,complement(one)),
inference(subst,[],[refute_0_1427:[bind(X_45,$fot(zero))]]) ).
cnf(refute_0_1429,plain,
( join(complement(one),zero) != join(zero,complement(one))
| join(zero,complement(one)) != complement(one)
| join(complement(one),zero) = complement(one) ),
inference(subst,[],[refute_0_71:[bind(X,$fot(join(complement(one),zero))),bind(Y,$fot(join(zero,complement(one)))),bind(Z,$fot(complement(one)))]]) ).
cnf(refute_0_1430,plain,
( join(zero,complement(one)) != complement(one)
| join(complement(one),zero) = complement(one) ),
inference(resolve,[$cnf( $equal(join(complement(one),zero),join(zero,complement(one))) )],[refute_0_1428,refute_0_1429]) ).
cnf(refute_0_1431,plain,
join(complement(one),zero) = complement(one),
inference(resolve,[$cnf( $equal(join(zero,complement(one)),complement(one)) )],[refute_0_1279,refute_0_1430]) ).
cnf(refute_0_1432,plain,
meet(one,converse(complement(one))) = complement(complement(meet(one,converse(complement(one))))),
inference(subst,[],[refute_0_458:[bind(X1,$fot(meet(one,converse(complement(one)))))]]) ).
cnf(refute_0_1433,plain,
( complement(meet(one,converse(complement(one)))) != top
| meet(one,converse(complement(one))) != complement(complement(meet(one,converse(complement(one)))))
| meet(one,converse(complement(one))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,converse(complement(one))),complement(complement(meet(one,converse(complement(one)))))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_1434,plain,
( meet(one,converse(complement(one))) != complement(complement(meet(one,converse(complement(one)))))
| meet(one,converse(complement(one))) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(meet(one,converse(complement(one)))),top) )],[refute_0_1388,refute_0_1433]) ).
cnf(refute_0_1435,plain,
meet(one,converse(complement(one))) = complement(top),
inference(resolve,[$cnf( $equal(meet(one,converse(complement(one))),complement(complement(meet(one,converse(complement(one)))))) )],[refute_0_1432,refute_0_1434]) ).
cnf(refute_0_1436,plain,
( complement(top) != zero
| meet(one,converse(complement(one))) != complement(top)
| meet(one,converse(complement(one))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,converse(complement(one))),complement(top)) ),[1],$fot(zero)]]) ).
cnf(refute_0_1437,plain,
( meet(one,converse(complement(one))) != complement(top)
| meet(one,converse(complement(one))) = zero ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_125,refute_0_1436]) ).
cnf(refute_0_1438,plain,
meet(one,converse(complement(one))) = zero,
inference(resolve,[$cnf( $equal(meet(one,converse(complement(one))),complement(top)) )],[refute_0_1435,refute_0_1437]) ).
cnf(refute_0_1439,plain,
join(complement(one),meet(one,converse(complement(one)))) = join(complement(one),meet(one,converse(complement(one)))),
introduced(tautology,[refl,[$fot(join(complement(one),meet(one,converse(complement(one)))))]]) ).
cnf(refute_0_1440,plain,
( join(complement(one),meet(one,converse(complement(one)))) != join(complement(one),meet(one,converse(complement(one))))
| meet(one,converse(complement(one))) != zero
| join(complement(one),meet(one,converse(complement(one)))) = join(complement(one),zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),meet(one,converse(complement(one)))),join(complement(one),meet(one,converse(complement(one))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_1441,plain,
( meet(one,converse(complement(one))) != zero
| join(complement(one),meet(one,converse(complement(one)))) = join(complement(one),zero) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(one,converse(complement(one)))),join(complement(one),meet(one,converse(complement(one))))) )],[refute_0_1439,refute_0_1440]) ).
cnf(refute_0_1442,plain,
join(complement(one),meet(one,converse(complement(one)))) = join(complement(one),zero),
inference(resolve,[$cnf( $equal(meet(one,converse(complement(one))),zero) )],[refute_0_1438,refute_0_1441]) ).
cnf(refute_0_1443,plain,
( join(complement(one),meet(one,converse(complement(one)))) != join(complement(one),zero)
| join(complement(one),zero) != complement(one)
| join(complement(one),meet(one,converse(complement(one)))) = complement(one) ),
inference(subst,[],[refute_0_71:[bind(X,$fot(join(complement(one),meet(one,converse(complement(one)))))),bind(Y,$fot(join(complement(one),zero))),bind(Z,$fot(complement(one)))]]) ).
cnf(refute_0_1444,plain,
( join(complement(one),zero) != complement(one)
| join(complement(one),meet(one,converse(complement(one)))) = complement(one) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(one,converse(complement(one)))),join(complement(one),zero)) )],[refute_0_1442,refute_0_1443]) ).
cnf(refute_0_1445,plain,
join(complement(one),meet(one,converse(complement(one)))) = complement(one),
inference(resolve,[$cnf( $equal(join(complement(one),zero),complement(one)) )],[refute_0_1431,refute_0_1444]) ).
cnf(refute_0_1446,plain,
( converse(complement(one)) != join(complement(one),meet(one,converse(complement(one))))
| join(complement(one),meet(one,converse(complement(one)))) != complement(one)
| converse(complement(one)) = complement(one) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(complement(one)),complement(one)) ),[0],$fot(join(complement(one),meet(one,converse(complement(one)))))]]) ).
cnf(refute_0_1447,plain,
( converse(complement(one)) != join(complement(one),meet(one,converse(complement(one))))
| converse(complement(one)) = complement(one) ),
inference(resolve,[$cnf( $equal(join(complement(one),meet(one,converse(complement(one)))),complement(one)) )],[refute_0_1445,refute_0_1446]) ).
cnf(refute_0_1448,plain,
converse(complement(one)) = complement(one),
inference(resolve,[$cnf( $equal(converse(complement(one)),join(complement(one),meet(one,converse(complement(one))))) )],[refute_0_1278,refute_0_1447]) ).
cnf(refute_0_1449,plain,
( converse(complement(one)) != complement(one)
| converse(composition(top,complement(one))) != composition(converse(complement(one)),top)
| converse(composition(top,complement(one))) = composition(complement(one),top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,complement(one))),composition(converse(complement(one)),top)) ),[1,0],$fot(complement(one))]]) ).
cnf(refute_0_1450,plain,
( converse(composition(top,complement(one))) != composition(converse(complement(one)),top)
| converse(composition(top,complement(one))) = composition(complement(one),top) ),
inference(resolve,[$cnf( $equal(converse(complement(one)),complement(one)) )],[refute_0_1448,refute_0_1449]) ).
cnf(refute_0_1451,plain,
converse(composition(top,complement(one))) = composition(complement(one),top),
inference(resolve,[$cnf( $equal(converse(composition(top,complement(one))),composition(converse(complement(one)),top)) )],[refute_0_1252,refute_0_1450]) ).
cnf(refute_0_1452,plain,
( converse(composition(top,complement(one))) != composition(complement(one),top)
| join(complement(one),composition(converse(composition(top,complement(one))),complement(composition(top,complement(one))))) != complement(one)
| join(complement(one),composition(composition(complement(one),top),complement(composition(top,complement(one))))) = complement(one) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),composition(converse(composition(top,complement(one))),complement(composition(top,complement(one))))),complement(one)) ),[0,1,0],$fot(composition(complement(one),top))]]) ).
cnf(refute_0_1453,plain,
( join(complement(one),composition(converse(composition(top,complement(one))),complement(composition(top,complement(one))))) != complement(one)
| join(complement(one),composition(composition(complement(one),top),complement(composition(top,complement(one))))) = complement(one) ),
inference(resolve,[$cnf( $equal(converse(composition(top,complement(one))),composition(complement(one),top)) )],[refute_0_1451,refute_0_1452]) ).
cnf(refute_0_1454,plain,
join(complement(one),composition(composition(complement(one),top),complement(composition(top,complement(one))))) = complement(one),
inference(resolve,[$cnf( $equal(join(complement(one),composition(converse(composition(top,complement(one))),complement(composition(top,complement(one))))),complement(one)) )],[refute_0_1198,refute_0_1453]) ).
cnf(refute_0_1455,plain,
join(complement(composition(top,X_155)),composition(converse(top),complement(composition(top,composition(top,X_155))))) = complement(composition(top,X_155)),
inference(subst,[],[refute_0_27:[bind(X0,$fot(top)),bind(X1,$fot(composition(top,X_155)))]]) ).
cnf(refute_0_1456,plain,
composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
inference(canonicalize,[],[normalize_0_27]) ).
cnf(refute_0_1457,plain,
composition(top,composition(top,X2)) = composition(composition(top,top),X2),
inference(subst,[],[refute_0_1456:[bind(X0,$fot(top)),bind(X1,$fot(top))]]) ).
cnf(refute_0_1458,plain,
join(complement(complement(composition(top,top))),composition(join(one,one),complement(composition(join(one,one),complement(composition(top,top)))))) = complement(complement(composition(top,top))),
inference(subst,[],[refute_0_771:[bind(X_51,$fot(complement(composition(top,top))))]]) ).
cnf(refute_0_1459,plain,
composition(join(X_107,top),complement(composition(top,top))) = join(composition(X_107,complement(composition(top,top))),composition(top,complement(composition(top,top)))),
inference(subst,[],[refute_0_1165:[bind(X0,$fot(X_107)),bind(X1,$fot(top)),bind(X2,$fot(complement(composition(top,top))))]]) ).
cnf(refute_0_1460,plain,
converse(composition(converse(X_82),complement(composition(X_82,top)))) = composition(converse(complement(composition(X_82,top))),converse(converse(X_82))),
inference(subst,[],[refute_0_29:[bind(X0,$fot(converse(X_82))),bind(X1,$fot(complement(composition(X_82,top))))]]) ).
cnf(refute_0_1461,plain,
join(zero,composition(converse(X_50),complement(composition(X_50,top)))) = composition(converse(X_50),complement(composition(X_50,top))),
inference(subst,[],[refute_0_396:[bind(X_75,$fot(composition(converse(X_50),complement(composition(X_50,top)))))]]) ).
cnf(refute_0_1462,plain,
( join(zero,composition(converse(X_50),complement(composition(X_50,top)))) != composition(converse(X_50),complement(composition(X_50,top)))
| join(zero,composition(converse(X_50),complement(composition(X_50,top)))) != zero
| composition(converse(X_50),complement(composition(X_50,top))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,composition(converse(X_50),complement(composition(X_50,top)))),zero) ),[0],$fot(composition(converse(X_50),complement(composition(X_50,top))))]]) ).
cnf(refute_0_1463,plain,
( join(zero,composition(converse(X_50),complement(composition(X_50,top)))) != zero
| composition(converse(X_50),complement(composition(X_50,top))) = zero ),
inference(resolve,[$cnf( $equal(join(zero,composition(converse(X_50),complement(composition(X_50,top)))),composition(converse(X_50),complement(composition(X_50,top)))) )],[refute_0_1461,refute_0_1462]) ).
cnf(refute_0_1464,plain,
composition(converse(X_50),complement(composition(X_50,top))) = zero,
inference(resolve,[$cnf( $equal(join(zero,composition(converse(X_50),complement(composition(X_50,top)))),zero) )],[refute_0_1128,refute_0_1463]) ).
cnf(refute_0_1465,plain,
composition(converse(X_82),complement(composition(X_82,top))) = zero,
inference(subst,[],[refute_0_1464:[bind(X_50,$fot(X_82))]]) ).
cnf(refute_0_1466,plain,
( composition(converse(X_82),complement(composition(X_82,top))) != zero
| converse(composition(converse(X_82),complement(composition(X_82,top)))) != composition(converse(complement(composition(X_82,top))),converse(converse(X_82)))
| converse(zero) = composition(converse(complement(composition(X_82,top))),converse(converse(X_82))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(X_82),complement(composition(X_82,top)))),composition(converse(complement(composition(X_82,top))),converse(converse(X_82)))) ),[0,0],$fot(zero)]]) ).
cnf(refute_0_1467,plain,
( converse(composition(converse(X_82),complement(composition(X_82,top)))) != composition(converse(complement(composition(X_82,top))),converse(converse(X_82)))
| converse(zero) = composition(converse(complement(composition(X_82,top))),converse(converse(X_82))) ),
inference(resolve,[$cnf( $equal(composition(converse(X_82),complement(composition(X_82,top))),zero) )],[refute_0_1465,refute_0_1466]) ).
cnf(refute_0_1468,plain,
converse(zero) = composition(converse(complement(composition(X_82,top))),converse(converse(X_82))),
inference(resolve,[$cnf( $equal(converse(composition(converse(X_82),complement(composition(X_82,top)))),composition(converse(complement(composition(X_82,top))),converse(converse(X_82)))) )],[refute_0_1460,refute_0_1467]) ).
cnf(refute_0_1469,plain,
zero = meet(converse(zero),complement(converse(zero))),
inference(subst,[],[refute_0_98:[bind(X0,$fot(converse(zero)))]]) ).
cnf(refute_0_1470,plain,
( complement(converse(zero)) != top
| zero != meet(converse(zero),complement(converse(zero)))
| zero = meet(converse(zero),top) ),
introduced(tautology,[equality,[$cnf( $equal(zero,meet(converse(zero),complement(converse(zero)))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_1471,plain,
( zero != meet(converse(zero),complement(converse(zero)))
| zero = meet(converse(zero),top) ),
inference(resolve,[$cnf( $equal(complement(converse(zero)),top) )],[refute_0_1244,refute_0_1470]) ).
cnf(refute_0_1472,plain,
zero = meet(converse(zero),top),
inference(resolve,[$cnf( $equal(zero,meet(converse(zero),complement(converse(zero)))) )],[refute_0_1469,refute_0_1471]) ).
cnf(refute_0_1473,plain,
meet(converse(zero),top) = converse(zero),
inference(subst,[],[refute_0_954:[bind(X_73,$fot(converse(zero)))]]) ).
cnf(refute_0_1474,plain,
( meet(converse(zero),top) != converse(zero)
| zero != meet(converse(zero),top)
| zero = converse(zero) ),
introduced(tautology,[equality,[$cnf( $equal(zero,meet(converse(zero),top)) ),[1],$fot(converse(zero))]]) ).
cnf(refute_0_1475,plain,
( zero != meet(converse(zero),top)
| zero = converse(zero) ),
inference(resolve,[$cnf( $equal(meet(converse(zero),top),converse(zero)) )],[refute_0_1473,refute_0_1474]) ).
cnf(refute_0_1476,plain,
zero = converse(zero),
inference(resolve,[$cnf( $equal(zero,meet(converse(zero),top)) )],[refute_0_1472,refute_0_1475]) ).
cnf(refute_0_1477,plain,
( zero != converse(zero)
| converse(zero) = zero ),
inference(subst,[],[refute_0_4:[bind(X,$fot(zero)),bind(Y,$fot(converse(zero)))]]) ).
cnf(refute_0_1478,plain,
converse(zero) = zero,
inference(resolve,[$cnf( $equal(zero,converse(zero)) )],[refute_0_1476,refute_0_1477]) ).
cnf(refute_0_1479,plain,
( converse(zero) != composition(converse(complement(composition(X_82,top))),converse(converse(X_82)))
| converse(zero) != zero
| zero = composition(converse(complement(composition(X_82,top))),converse(converse(X_82))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(zero),composition(converse(complement(composition(X_82,top))),converse(converse(X_82)))) ),[0],$fot(zero)]]) ).
cnf(refute_0_1480,plain,
( converse(zero) != composition(converse(complement(composition(X_82,top))),converse(converse(X_82)))
| zero = composition(converse(complement(composition(X_82,top))),converse(converse(X_82))) ),
inference(resolve,[$cnf( $equal(converse(zero),zero) )],[refute_0_1478,refute_0_1479]) ).
cnf(refute_0_1481,plain,
converse(composition(converse(X_82),complement(composition(X_82,top)))) = composition(converse(complement(composition(X_82,top))),X_82),
inference(subst,[],[refute_0_141:[bind(X0,$fot(X_82)),bind(X_18,$fot(complement(composition(X_82,top))))]]) ).
cnf(refute_0_1482,plain,
composition(converse(complement(composition(X_82,top))),converse(converse(X_82))) = converse(composition(converse(X_82),complement(composition(X_82,top)))),
inference(subst,[],[refute_0_31:[bind(X0,$fot(converse(X_82))),bind(X1,$fot(complement(composition(X_82,top))))]]) ).
cnf(refute_0_1483,plain,
( composition(converse(complement(composition(X_82,top))),converse(converse(X_82))) != converse(composition(converse(X_82),complement(composition(X_82,top))))
| converse(composition(converse(X_82),complement(composition(X_82,top)))) != composition(converse(complement(composition(X_82,top))),X_82)
| composition(converse(complement(composition(X_82,top))),converse(converse(X_82))) = composition(converse(complement(composition(X_82,top))),X_82) ),
inference(subst,[],[refute_0_71:[bind(X,$fot(composition(converse(complement(composition(X_82,top))),converse(converse(X_82))))),bind(Y,$fot(converse(composition(converse(X_82),complement(composition(X_82,top)))))),bind(Z,$fot(composition(converse(complement(composition(X_82,top))),X_82)))]]) ).
cnf(refute_0_1484,plain,
( converse(composition(converse(X_82),complement(composition(X_82,top)))) != composition(converse(complement(composition(X_82,top))),X_82)
| composition(converse(complement(composition(X_82,top))),converse(converse(X_82))) = composition(converse(complement(composition(X_82,top))),X_82) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(composition(X_82,top))),converse(converse(X_82))),converse(composition(converse(X_82),complement(composition(X_82,top))))) )],[refute_0_1482,refute_0_1483]) ).
cnf(refute_0_1485,plain,
composition(converse(complement(composition(X_82,top))),converse(converse(X_82))) = composition(converse(complement(composition(X_82,top))),X_82),
inference(resolve,[$cnf( $equal(converse(composition(converse(X_82),complement(composition(X_82,top)))),composition(converse(complement(composition(X_82,top))),X_82)) )],[refute_0_1481,refute_0_1484]) ).
cnf(refute_0_1486,plain,
( composition(converse(complement(composition(X_82,top))),converse(converse(X_82))) != composition(converse(complement(composition(X_82,top))),X_82)
| zero != composition(converse(complement(composition(X_82,top))),converse(converse(X_82)))
| zero = composition(converse(complement(composition(X_82,top))),X_82) ),
introduced(tautology,[equality,[$cnf( $equal(zero,composition(converse(complement(composition(X_82,top))),converse(converse(X_82)))) ),[1],$fot(composition(converse(complement(composition(X_82,top))),X_82))]]) ).
cnf(refute_0_1487,plain,
( zero != composition(converse(complement(composition(X_82,top))),converse(converse(X_82)))
| zero = composition(converse(complement(composition(X_82,top))),X_82) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(composition(X_82,top))),converse(converse(X_82))),composition(converse(complement(composition(X_82,top))),X_82)) )],[refute_0_1485,refute_0_1486]) ).
cnf(refute_0_1488,plain,
( converse(zero) != composition(converse(complement(composition(X_82,top))),converse(converse(X_82)))
| zero = composition(converse(complement(composition(X_82,top))),X_82) ),
inference(resolve,[$cnf( $equal(zero,composition(converse(complement(composition(X_82,top))),converse(converse(X_82)))) )],[refute_0_1480,refute_0_1487]) ).
cnf(refute_0_1489,plain,
zero = composition(converse(complement(composition(X_82,top))),X_82),
inference(resolve,[$cnf( $equal(converse(zero),composition(converse(complement(composition(X_82,top))),converse(converse(X_82)))) )],[refute_0_1468,refute_0_1488]) ).
cnf(refute_0_1490,plain,
zero = composition(converse(complement(composition(complement(composition(top,top)),top))),complement(composition(top,top))),
inference(subst,[],[refute_0_1489:[bind(X_82,$fot(complement(composition(top,top))))]]) ).
cnf(refute_0_1491,plain,
composition(converse(converse(complement(composition(top,top)))),complement(composition(converse(complement(composition(top,top))),top))) = zero,
inference(subst,[],[refute_0_1464:[bind(X_50,$fot(converse(complement(composition(top,top)))))]]) ).
cnf(refute_0_1492,plain,
zero = composition(converse(complement(composition(top,top))),top),
inference(subst,[],[refute_0_1489:[bind(X_82,$fot(top))]]) ).
cnf(refute_0_1493,plain,
( zero != composition(converse(complement(composition(top,top))),top)
| composition(converse(complement(composition(top,top))),top) = zero ),
inference(subst,[],[refute_0_4:[bind(X,$fot(zero)),bind(Y,$fot(composition(converse(complement(composition(top,top))),top)))]]) ).
cnf(refute_0_1494,plain,
composition(converse(complement(composition(top,top))),top) = zero,
inference(resolve,[$cnf( $equal(zero,composition(converse(complement(composition(top,top))),top)) )],[refute_0_1492,refute_0_1493]) ).
cnf(refute_0_1495,plain,
( composition(converse(complement(composition(top,top))),top) != zero
| composition(converse(converse(complement(composition(top,top)))),complement(composition(converse(complement(composition(top,top))),top))) != zero
| composition(converse(converse(complement(composition(top,top)))),complement(zero)) = zero ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(converse(complement(composition(top,top)))),complement(composition(converse(complement(composition(top,top))),top))),zero) ),[0,1,0],$fot(zero)]]) ).
cnf(refute_0_1496,plain,
( composition(converse(converse(complement(composition(top,top)))),complement(composition(converse(complement(composition(top,top))),top))) != zero
| composition(converse(converse(complement(composition(top,top)))),complement(zero)) = zero ),
inference(resolve,[$cnf( $equal(composition(converse(complement(composition(top,top))),top),zero) )],[refute_0_1494,refute_0_1495]) ).
cnf(refute_0_1497,plain,
composition(converse(converse(complement(composition(top,top)))),complement(zero)) = zero,
inference(resolve,[$cnf( $equal(composition(converse(converse(complement(composition(top,top)))),complement(composition(converse(complement(composition(top,top))),top))),zero) )],[refute_0_1491,refute_0_1496]) ).
cnf(refute_0_1498,plain,
top = join(zero,meet(top,top)),
inference(subst,[],[refute_0_387:[bind(X_73,$fot(top))]]) ).
cnf(refute_0_1499,plain,
complement(complement(top)) = complement(complement(top)),
introduced(tautology,[refl,[$fot(complement(complement(top)))]]) ).
cnf(refute_0_1500,plain,
( complement(complement(top)) != complement(complement(top))
| complement(top) != zero
| complement(complement(top)) = complement(zero) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(top)),complement(complement(top))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_1501,plain,
( complement(top) != zero
| complement(complement(top)) = complement(zero) ),
inference(resolve,[$cnf( $equal(complement(complement(top)),complement(complement(top))) )],[refute_0_1499,refute_0_1500]) ).
cnf(refute_0_1502,plain,
complement(complement(top)) = complement(zero),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_125,refute_0_1501]) ).
cnf(refute_0_1503,plain,
meet(X1,X1) = complement(join(complement(X1),complement(X1))),
inference(subst,[],[refute_0_63:[bind(X0,$fot(X1))]]) ).
cnf(refute_0_1504,plain,
join(complement(X1),complement(X1)) = complement(X1),
inference(subst,[],[refute_0_190:[bind(X_51,$fot(X1))]]) ).
cnf(refute_0_1505,plain,
( join(complement(X1),complement(X1)) != complement(X1)
| meet(X1,X1) != complement(join(complement(X1),complement(X1)))
| meet(X1,X1) = complement(complement(X1)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X1,X1),complement(join(complement(X1),complement(X1)))) ),[1,0],$fot(complement(X1))]]) ).
cnf(refute_0_1506,plain,
( meet(X1,X1) != complement(join(complement(X1),complement(X1)))
| meet(X1,X1) = complement(complement(X1)) ),
inference(resolve,[$cnf( $equal(join(complement(X1),complement(X1)),complement(X1)) )],[refute_0_1504,refute_0_1505]) ).
cnf(refute_0_1507,plain,
meet(X1,X1) = complement(complement(X1)),
inference(resolve,[$cnf( $equal(meet(X1,X1),complement(join(complement(X1),complement(X1)))) )],[refute_0_1503,refute_0_1506]) ).
cnf(refute_0_1508,plain,
meet(top,top) = complement(complement(top)),
inference(subst,[],[refute_0_1507:[bind(X1,$fot(top))]]) ).
cnf(refute_0_1509,plain,
join(zero,meet(top,top)) = meet(top,top),
inference(subst,[],[refute_0_396:[bind(X_75,$fot(meet(top,top)))]]) ).
cnf(refute_0_1510,plain,
( join(zero,meet(top,top)) != meet(top,top)
| meet(top,top) != complement(complement(top))
| join(zero,meet(top,top)) = complement(complement(top)) ),
inference(subst,[],[refute_0_71:[bind(X,$fot(join(zero,meet(top,top)))),bind(Y,$fot(meet(top,top))),bind(Z,$fot(complement(complement(top))))]]) ).
cnf(refute_0_1511,plain,
( meet(top,top) != complement(complement(top))
| join(zero,meet(top,top)) = complement(complement(top)) ),
inference(resolve,[$cnf( $equal(join(zero,meet(top,top)),meet(top,top)) )],[refute_0_1509,refute_0_1510]) ).
cnf(refute_0_1512,plain,
join(zero,meet(top,top)) = complement(complement(top)),
inference(resolve,[$cnf( $equal(meet(top,top),complement(complement(top))) )],[refute_0_1508,refute_0_1511]) ).
cnf(refute_0_1513,plain,
( complement(complement(top)) != complement(zero)
| join(zero,meet(top,top)) != complement(complement(top))
| join(zero,meet(top,top)) = complement(zero) ),
inference(subst,[],[refute_0_71:[bind(X,$fot(join(zero,meet(top,top)))),bind(Y,$fot(complement(complement(top)))),bind(Z,$fot(complement(zero)))]]) ).
cnf(refute_0_1514,plain,
( complement(complement(top)) != complement(zero)
| join(zero,meet(top,top)) = complement(zero) ),
inference(resolve,[$cnf( $equal(join(zero,meet(top,top)),complement(complement(top))) )],[refute_0_1512,refute_0_1513]) ).
cnf(refute_0_1515,plain,
join(zero,meet(top,top)) = complement(zero),
inference(resolve,[$cnf( $equal(complement(complement(top)),complement(zero)) )],[refute_0_1502,refute_0_1514]) ).
cnf(refute_0_1516,plain,
( join(zero,meet(top,top)) != complement(zero)
| top != join(zero,meet(top,top))
| top = complement(zero) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(zero,meet(top,top))) ),[1],$fot(complement(zero))]]) ).
cnf(refute_0_1517,plain,
( top != join(zero,meet(top,top))
| top = complement(zero) ),
inference(resolve,[$cnf( $equal(join(zero,meet(top,top)),complement(zero)) )],[refute_0_1515,refute_0_1516]) ).
cnf(refute_0_1518,plain,
top = complement(zero),
inference(resolve,[$cnf( $equal(top,join(zero,meet(top,top))) )],[refute_0_1498,refute_0_1517]) ).
cnf(refute_0_1519,plain,
( top != complement(zero)
| complement(zero) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(complement(zero)))]]) ).
cnf(refute_0_1520,plain,
complement(zero) = top,
inference(resolve,[$cnf( $equal(top,complement(zero)) )],[refute_0_1518,refute_0_1519]) ).
cnf(refute_0_1521,plain,
composition(complement(composition(top,top)),complement(zero)) = composition(complement(composition(top,top)),complement(zero)),
introduced(tautology,[refl,[$fot(composition(complement(composition(top,top)),complement(zero)))]]) ).
cnf(refute_0_1522,plain,
( complement(zero) != top
| composition(complement(composition(top,top)),complement(zero)) != composition(complement(composition(top,top)),complement(zero))
| composition(complement(composition(top,top)),complement(zero)) = composition(complement(composition(top,top)),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(composition(top,top)),complement(zero)),composition(complement(composition(top,top)),complement(zero))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_1523,plain,
( complement(zero) != top
| composition(complement(composition(top,top)),complement(zero)) = composition(complement(composition(top,top)),top) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,top)),complement(zero)),composition(complement(composition(top,top)),complement(zero))) )],[refute_0_1521,refute_0_1522]) ).
cnf(refute_0_1524,plain,
composition(complement(composition(top,top)),complement(zero)) = composition(complement(composition(top,top)),top),
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_1520,refute_0_1523]) ).
cnf(refute_0_1525,plain,
converse(converse(complement(composition(top,top)))) = complement(composition(top,top)),
inference(subst,[],[refute_0_35:[bind(X0,$fot(complement(composition(top,top))))]]) ).
cnf(refute_0_1526,plain,
composition(converse(converse(complement(composition(top,top)))),complement(zero)) = composition(converse(converse(complement(composition(top,top)))),complement(zero)),
introduced(tautology,[refl,[$fot(composition(converse(converse(complement(composition(top,top)))),complement(zero)))]]) ).
cnf(refute_0_1527,plain,
( composition(converse(converse(complement(composition(top,top)))),complement(zero)) != composition(converse(converse(complement(composition(top,top)))),complement(zero))
| converse(converse(complement(composition(top,top)))) != complement(composition(top,top))
| composition(converse(converse(complement(composition(top,top)))),complement(zero)) = composition(complement(composition(top,top)),complement(zero)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(converse(complement(composition(top,top)))),complement(zero)),composition(converse(converse(complement(composition(top,top)))),complement(zero))) ),[1,0],$fot(complement(composition(top,top)))]]) ).
cnf(refute_0_1528,plain,
( converse(converse(complement(composition(top,top)))) != complement(composition(top,top))
| composition(converse(converse(complement(composition(top,top)))),complement(zero)) = composition(complement(composition(top,top)),complement(zero)) ),
inference(resolve,[$cnf( $equal(composition(converse(converse(complement(composition(top,top)))),complement(zero)),composition(converse(converse(complement(composition(top,top)))),complement(zero))) )],[refute_0_1526,refute_0_1527]) ).
cnf(refute_0_1529,plain,
composition(converse(converse(complement(composition(top,top)))),complement(zero)) = composition(complement(composition(top,top)),complement(zero)),
inference(resolve,[$cnf( $equal(converse(converse(complement(composition(top,top)))),complement(composition(top,top))) )],[refute_0_1525,refute_0_1528]) ).
cnf(refute_0_1530,plain,
( composition(complement(composition(top,top)),complement(zero)) != composition(complement(composition(top,top)),top)
| composition(converse(converse(complement(composition(top,top)))),complement(zero)) != composition(complement(composition(top,top)),complement(zero))
| composition(converse(converse(complement(composition(top,top)))),complement(zero)) = composition(complement(composition(top,top)),top) ),
inference(subst,[],[refute_0_71:[bind(X,$fot(composition(converse(converse(complement(composition(top,top)))),complement(zero)))),bind(Y,$fot(composition(complement(composition(top,top)),complement(zero)))),bind(Z,$fot(composition(complement(composition(top,top)),top)))]]) ).
cnf(refute_0_1531,plain,
( composition(complement(composition(top,top)),complement(zero)) != composition(complement(composition(top,top)),top)
| composition(converse(converse(complement(composition(top,top)))),complement(zero)) = composition(complement(composition(top,top)),top) ),
inference(resolve,[$cnf( $equal(composition(converse(converse(complement(composition(top,top)))),complement(zero)),composition(complement(composition(top,top)),complement(zero))) )],[refute_0_1529,refute_0_1530]) ).
cnf(refute_0_1532,plain,
composition(converse(converse(complement(composition(top,top)))),complement(zero)) = composition(complement(composition(top,top)),top),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,top)),complement(zero)),composition(complement(composition(top,top)),top)) )],[refute_0_1524,refute_0_1531]) ).
cnf(refute_0_1533,plain,
( composition(converse(converse(complement(composition(top,top)))),complement(zero)) != composition(complement(composition(top,top)),top)
| composition(converse(converse(complement(composition(top,top)))),complement(zero)) != zero
| composition(complement(composition(top,top)),top) = zero ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(converse(complement(composition(top,top)))),complement(zero)),zero) ),[0],$fot(composition(complement(composition(top,top)),top))]]) ).
cnf(refute_0_1534,plain,
( composition(converse(converse(complement(composition(top,top)))),complement(zero)) != zero
| composition(complement(composition(top,top)),top) = zero ),
inference(resolve,[$cnf( $equal(composition(converse(converse(complement(composition(top,top)))),complement(zero)),composition(complement(composition(top,top)),top)) )],[refute_0_1532,refute_0_1533]) ).
cnf(refute_0_1535,plain,
composition(complement(composition(top,top)),top) = zero,
inference(resolve,[$cnf( $equal(composition(converse(converse(complement(composition(top,top)))),complement(zero)),zero) )],[refute_0_1497,refute_0_1534]) ).
cnf(refute_0_1536,plain,
( composition(complement(composition(top,top)),top) != zero
| zero != composition(converse(complement(composition(complement(composition(top,top)),top))),complement(composition(top,top)))
| zero = composition(converse(complement(zero)),complement(composition(top,top))) ),
introduced(tautology,[equality,[$cnf( $equal(zero,composition(converse(complement(composition(complement(composition(top,top)),top))),complement(composition(top,top)))) ),[1,0,0,0],$fot(zero)]]) ).
cnf(refute_0_1537,plain,
( zero != composition(converse(complement(composition(complement(composition(top,top)),top))),complement(composition(top,top)))
| zero = composition(converse(complement(zero)),complement(composition(top,top))) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(top,top)),top),zero) )],[refute_0_1535,refute_0_1536]) ).
cnf(refute_0_1538,plain,
zero = composition(converse(complement(zero)),complement(composition(top,top))),
inference(resolve,[$cnf( $equal(zero,composition(converse(complement(composition(complement(composition(top,top)),top))),complement(composition(top,top)))) )],[refute_0_1490,refute_0_1537]) ).
cnf(refute_0_1539,plain,
converse(complement(zero)) = converse(complement(zero)),
introduced(tautology,[refl,[$fot(converse(complement(zero)))]]) ).
cnf(refute_0_1540,plain,
( complement(zero) != top
| converse(complement(zero)) != converse(complement(zero))
| converse(complement(zero)) = converse(top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(zero)),converse(complement(zero))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_1541,plain,
( complement(zero) != top
| converse(complement(zero)) = converse(top) ),
inference(resolve,[$cnf( $equal(converse(complement(zero)),converse(complement(zero))) )],[refute_0_1539,refute_0_1540]) ).
cnf(refute_0_1542,plain,
converse(complement(zero)) = converse(top),
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_1520,refute_0_1541]) ).
cnf(refute_0_1543,plain,
( converse(complement(zero)) != converse(top)
| converse(top) != top
| converse(complement(zero)) = top ),
inference(subst,[],[refute_0_71:[bind(X,$fot(converse(complement(zero)))),bind(Y,$fot(converse(top))),bind(Z,$fot(top))]]) ).
cnf(refute_0_1544,plain,
( converse(top) != top
| converse(complement(zero)) = top ),
inference(resolve,[$cnf( $equal(converse(complement(zero)),converse(top)) )],[refute_0_1542,refute_0_1543]) ).
cnf(refute_0_1545,plain,
converse(complement(zero)) = top,
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_586,refute_0_1544]) ).
cnf(refute_0_1546,plain,
composition(converse(complement(zero)),complement(composition(top,top))) = composition(converse(complement(zero)),complement(composition(top,top))),
introduced(tautology,[refl,[$fot(composition(converse(complement(zero)),complement(composition(top,top))))]]) ).
cnf(refute_0_1547,plain,
( composition(converse(complement(zero)),complement(composition(top,top))) != composition(converse(complement(zero)),complement(composition(top,top)))
| converse(complement(zero)) != top
| composition(converse(complement(zero)),complement(composition(top,top))) = composition(top,complement(composition(top,top))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(complement(zero)),complement(composition(top,top))),composition(converse(complement(zero)),complement(composition(top,top)))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_1548,plain,
( converse(complement(zero)) != top
| composition(converse(complement(zero)),complement(composition(top,top))) = composition(top,complement(composition(top,top))) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(zero)),complement(composition(top,top))),composition(converse(complement(zero)),complement(composition(top,top)))) )],[refute_0_1546,refute_0_1547]) ).
cnf(refute_0_1549,plain,
composition(converse(complement(zero)),complement(composition(top,top))) = composition(top,complement(composition(top,top))),
inference(resolve,[$cnf( $equal(converse(complement(zero)),top) )],[refute_0_1545,refute_0_1548]) ).
cnf(refute_0_1550,plain,
( composition(converse(complement(zero)),complement(composition(top,top))) != composition(top,complement(composition(top,top)))
| zero != composition(converse(complement(zero)),complement(composition(top,top)))
| zero = composition(top,complement(composition(top,top))) ),
introduced(tautology,[equality,[$cnf( $equal(zero,composition(converse(complement(zero)),complement(composition(top,top)))) ),[1],$fot(composition(top,complement(composition(top,top))))]]) ).
cnf(refute_0_1551,plain,
( zero != composition(converse(complement(zero)),complement(composition(top,top)))
| zero = composition(top,complement(composition(top,top))) ),
inference(resolve,[$cnf( $equal(composition(converse(complement(zero)),complement(composition(top,top))),composition(top,complement(composition(top,top)))) )],[refute_0_1549,refute_0_1550]) ).
cnf(refute_0_1552,plain,
zero = composition(top,complement(composition(top,top))),
inference(resolve,[$cnf( $equal(zero,composition(converse(complement(zero)),complement(composition(top,top)))) )],[refute_0_1538,refute_0_1551]) ).
cnf(refute_0_1553,plain,
( zero != composition(top,complement(composition(top,top)))
| composition(top,complement(composition(top,top))) = zero ),
inference(subst,[],[refute_0_4:[bind(X,$fot(zero)),bind(Y,$fot(composition(top,complement(composition(top,top)))))]]) ).
cnf(refute_0_1554,plain,
composition(top,complement(composition(top,top))) = zero,
inference(resolve,[$cnf( $equal(zero,composition(top,complement(composition(top,top)))) )],[refute_0_1552,refute_0_1553]) ).
cnf(refute_0_1555,plain,
( composition(join(X_107,top),complement(composition(top,top))) != join(composition(X_107,complement(composition(top,top))),composition(top,complement(composition(top,top))))
| composition(top,complement(composition(top,top))) != zero
| composition(join(X_107,top),complement(composition(top,top))) = join(composition(X_107,complement(composition(top,top))),zero) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X_107,top),complement(composition(top,top))),join(composition(X_107,complement(composition(top,top))),composition(top,complement(composition(top,top))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_1556,plain,
( composition(join(X_107,top),complement(composition(top,top))) != join(composition(X_107,complement(composition(top,top))),composition(top,complement(composition(top,top))))
| composition(join(X_107,top),complement(composition(top,top))) = join(composition(X_107,complement(composition(top,top))),zero) ),
inference(resolve,[$cnf( $equal(composition(top,complement(composition(top,top))),zero) )],[refute_0_1554,refute_0_1555]) ).
cnf(refute_0_1557,plain,
composition(join(X_107,top),complement(composition(top,top))) = join(composition(X_107,complement(composition(top,top))),zero),
inference(resolve,[$cnf( $equal(composition(join(X_107,top),complement(composition(top,top))),join(composition(X_107,complement(composition(top,top))),composition(top,complement(composition(top,top))))) )],[refute_0_1459,refute_0_1556]) ).
cnf(refute_0_1558,plain,
join(X_107,top) = top,
inference(subst,[],[refute_0_372:[bind(X_64,$fot(X_107))]]) ).
cnf(refute_0_1559,plain,
composition(join(X_107,top),complement(composition(top,top))) = composition(join(X_107,top),complement(composition(top,top))),
introduced(tautology,[refl,[$fot(composition(join(X_107,top),complement(composition(top,top))))]]) ).
cnf(refute_0_1560,plain,
( composition(join(X_107,top),complement(composition(top,top))) != composition(join(X_107,top),complement(composition(top,top)))
| join(X_107,top) != top
| composition(join(X_107,top),complement(composition(top,top))) = composition(top,complement(composition(top,top))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X_107,top),complement(composition(top,top))),composition(join(X_107,top),complement(composition(top,top)))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_1561,plain,
( join(X_107,top) != top
| composition(join(X_107,top),complement(composition(top,top))) = composition(top,complement(composition(top,top))) ),
inference(resolve,[$cnf( $equal(composition(join(X_107,top),complement(composition(top,top))),composition(join(X_107,top),complement(composition(top,top)))) )],[refute_0_1559,refute_0_1560]) ).
cnf(refute_0_1562,plain,
composition(join(X_107,top),complement(composition(top,top))) = composition(top,complement(composition(top,top))),
inference(resolve,[$cnf( $equal(join(X_107,top),top) )],[refute_0_1558,refute_0_1561]) ).
cnf(refute_0_1563,plain,
( composition(join(X_107,top),complement(composition(top,top))) != composition(top,complement(composition(top,top)))
| composition(top,complement(composition(top,top))) != zero
| composition(join(X_107,top),complement(composition(top,top))) = zero ),
inference(subst,[],[refute_0_71:[bind(X,$fot(composition(join(X_107,top),complement(composition(top,top))))),bind(Y,$fot(composition(top,complement(composition(top,top))))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_1564,plain,
( composition(top,complement(composition(top,top))) != zero
| composition(join(X_107,top),complement(composition(top,top))) = zero ),
inference(resolve,[$cnf( $equal(composition(join(X_107,top),complement(composition(top,top))),composition(top,complement(composition(top,top)))) )],[refute_0_1562,refute_0_1563]) ).
cnf(refute_0_1565,plain,
composition(join(X_107,top),complement(composition(top,top))) = zero,
inference(resolve,[$cnf( $equal(composition(top,complement(composition(top,top))),zero) )],[refute_0_1554,refute_0_1564]) ).
cnf(refute_0_1566,plain,
( composition(join(X_107,top),complement(composition(top,top))) != join(composition(X_107,complement(composition(top,top))),zero)
| composition(join(X_107,top),complement(composition(top,top))) != zero
| zero = join(composition(X_107,complement(composition(top,top))),zero) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X_107,top),complement(composition(top,top))),join(composition(X_107,complement(composition(top,top))),zero)) ),[0],$fot(zero)]]) ).
cnf(refute_0_1567,plain,
( composition(join(X_107,top),complement(composition(top,top))) != join(composition(X_107,complement(composition(top,top))),zero)
| zero = join(composition(X_107,complement(composition(top,top))),zero) ),
inference(resolve,[$cnf( $equal(composition(join(X_107,top),complement(composition(top,top))),zero) )],[refute_0_1565,refute_0_1566]) ).
cnf(refute_0_1568,plain,
join(composition(X_107,complement(composition(top,top))),zero) = composition(X_107,complement(composition(top,top))),
inference(subst,[],[refute_0_816:[bind(X_75,$fot(composition(X_107,complement(composition(top,top)))))]]) ).
cnf(refute_0_1569,plain,
( join(composition(X_107,complement(composition(top,top))),zero) != composition(X_107,complement(composition(top,top)))
| zero != join(composition(X_107,complement(composition(top,top))),zero)
| zero = composition(X_107,complement(composition(top,top))) ),
introduced(tautology,[equality,[$cnf( $equal(zero,join(composition(X_107,complement(composition(top,top))),zero)) ),[1],$fot(composition(X_107,complement(composition(top,top))))]]) ).
cnf(refute_0_1570,plain,
( zero != join(composition(X_107,complement(composition(top,top))),zero)
| zero = composition(X_107,complement(composition(top,top))) ),
inference(resolve,[$cnf( $equal(join(composition(X_107,complement(composition(top,top))),zero),composition(X_107,complement(composition(top,top)))) )],[refute_0_1568,refute_0_1569]) ).
cnf(refute_0_1571,plain,
( composition(join(X_107,top),complement(composition(top,top))) != join(composition(X_107,complement(composition(top,top))),zero)
| zero = composition(X_107,complement(composition(top,top))) ),
inference(resolve,[$cnf( $equal(zero,join(composition(X_107,complement(composition(top,top))),zero)) )],[refute_0_1567,refute_0_1570]) ).
cnf(refute_0_1572,plain,
zero = composition(X_107,complement(composition(top,top))),
inference(resolve,[$cnf( $equal(composition(join(X_107,top),complement(composition(top,top))),join(composition(X_107,complement(composition(top,top))),zero)) )],[refute_0_1557,refute_0_1571]) ).
cnf(refute_0_1573,plain,
zero = composition(join(one,one),complement(composition(top,top))),
inference(subst,[],[refute_0_1572:[bind(X_107,$fot(join(one,one)))]]) ).
cnf(refute_0_1574,plain,
( zero != composition(join(one,one),complement(composition(top,top)))
| composition(join(one,one),complement(composition(top,top))) = zero ),
inference(subst,[],[refute_0_4:[bind(X,$fot(zero)),bind(Y,$fot(composition(join(one,one),complement(composition(top,top)))))]]) ).
cnf(refute_0_1575,plain,
composition(join(one,one),complement(composition(top,top))) = zero,
inference(resolve,[$cnf( $equal(zero,composition(join(one,one),complement(composition(top,top)))) )],[refute_0_1573,refute_0_1574]) ).
cnf(refute_0_1576,plain,
( composition(join(one,one),complement(composition(top,top))) != zero
| join(complement(complement(composition(top,top))),composition(join(one,one),complement(composition(join(one,one),complement(composition(top,top)))))) != complement(complement(composition(top,top)))
| join(complement(complement(composition(top,top))),composition(join(one,one),complement(zero))) = complement(complement(composition(top,top))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(composition(top,top))),composition(join(one,one),complement(composition(join(one,one),complement(composition(top,top)))))),complement(complement(composition(top,top)))) ),[0,1,1,0],$fot(zero)]]) ).
cnf(refute_0_1577,plain,
( join(complement(complement(composition(top,top))),composition(join(one,one),complement(composition(join(one,one),complement(composition(top,top)))))) != complement(complement(composition(top,top)))
| join(complement(complement(composition(top,top))),composition(join(one,one),complement(zero))) = complement(complement(composition(top,top))) ),
inference(resolve,[$cnf( $equal(composition(join(one,one),complement(composition(top,top))),zero) )],[refute_0_1575,refute_0_1576]) ).
cnf(refute_0_1578,plain,
join(complement(complement(composition(top,top))),composition(join(one,one),complement(zero))) = complement(complement(composition(top,top))),
inference(resolve,[$cnf( $equal(join(complement(complement(composition(top,top))),composition(join(one,one),complement(composition(join(one,one),complement(composition(top,top)))))),complement(complement(composition(top,top)))) )],[refute_0_1458,refute_0_1577]) ).
cnf(refute_0_1579,plain,
join(composition(top,top),top) = top,
inference(subst,[],[refute_0_372:[bind(X_64,$fot(composition(top,top)))]]) ).
cnf(refute_0_1580,plain,
composition(one,top) = top,
inference(subst,[],[refute_0_175:[bind(X_19,$fot(top))]]) ).
cnf(refute_0_1581,plain,
join(complement(complement(composition(X_82,top))),composition(converse(converse(X_82)),complement(composition(converse(X_82),complement(composition(X_82,top)))))) = complement(complement(composition(X_82,top))),
inference(subst,[],[refute_0_27:[bind(X0,$fot(converse(X_82))),bind(X1,$fot(complement(composition(X_82,top))))]]) ).
cnf(refute_0_1582,plain,
( composition(converse(X_82),complement(composition(X_82,top))) != zero
| join(complement(complement(composition(X_82,top))),composition(converse(converse(X_82)),complement(composition(converse(X_82),complement(composition(X_82,top)))))) != complement(complement(composition(X_82,top)))
| join(complement(complement(composition(X_82,top))),composition(converse(converse(X_82)),complement(zero))) = complement(complement(composition(X_82,top))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(composition(X_82,top))),composition(converse(converse(X_82)),complement(composition(converse(X_82),complement(composition(X_82,top)))))),complement(complement(composition(X_82,top)))) ),[0,1,1,0],$fot(zero)]]) ).
cnf(refute_0_1583,plain,
( join(complement(complement(composition(X_82,top))),composition(converse(converse(X_82)),complement(composition(converse(X_82),complement(composition(X_82,top)))))) != complement(complement(composition(X_82,top)))
| join(complement(complement(composition(X_82,top))),composition(converse(converse(X_82)),complement(zero))) = complement(complement(composition(X_82,top))) ),
inference(resolve,[$cnf( $equal(composition(converse(X_82),complement(composition(X_82,top))),zero) )],[refute_0_1465,refute_0_1582]) ).
cnf(refute_0_1584,plain,
join(complement(complement(composition(X_82,top))),composition(converse(converse(X_82)),complement(zero))) = complement(complement(composition(X_82,top))),
inference(resolve,[$cnf( $equal(join(complement(complement(composition(X_82,top))),composition(converse(converse(X_82)),complement(composition(converse(X_82),complement(composition(X_82,top)))))),complement(complement(composition(X_82,top)))) )],[refute_0_1581,refute_0_1583]) ).
cnf(refute_0_1585,plain,
( composition(join(X0,X1),X2) != join(composition(X0,X2),composition(X1,X2))
| join(composition(X0,X2),composition(X1,X2)) = composition(join(X0,X1),X2) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(composition(join(X0,X1),X2))),bind(Y,$fot(join(composition(X0,X2),composition(X1,X2))))]]) ).
cnf(refute_0_1586,plain,
join(composition(X0,X2),composition(X1,X2)) = composition(join(X0,X1),X2),
inference(resolve,[$cnf( $equal(composition(join(X0,X1),X2),join(composition(X0,X2),composition(X1,X2))) )],[refute_0_1165,refute_0_1585]) ).
cnf(refute_0_1587,plain,
join(composition(X_82,top),composition(X_82,top)) = composition(join(X_82,X_82),top),
inference(subst,[],[refute_0_1586:[bind(X0,$fot(X_82)),bind(X1,$fot(X_82)),bind(X2,$fot(top))]]) ).
cnf(refute_0_1588,plain,
composition(X_82,complement(zero)) = composition(X_82,complement(zero)),
introduced(tautology,[refl,[$fot(composition(X_82,complement(zero)))]]) ).
cnf(refute_0_1589,plain,
( complement(zero) != top
| composition(X_82,complement(zero)) != composition(X_82,complement(zero))
| composition(X_82,complement(zero)) = composition(X_82,top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(X_82,complement(zero)),composition(X_82,complement(zero))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_1590,plain,
( complement(zero) != top
| composition(X_82,complement(zero)) = composition(X_82,top) ),
inference(resolve,[$cnf( $equal(composition(X_82,complement(zero)),composition(X_82,complement(zero))) )],[refute_0_1588,refute_0_1589]) ).
cnf(refute_0_1591,plain,
composition(X_82,complement(zero)) = composition(X_82,top),
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_1520,refute_0_1590]) ).
cnf(refute_0_1592,plain,
converse(converse(X_82)) = X_82,
inference(subst,[],[refute_0_35:[bind(X0,$fot(X_82))]]) ).
cnf(refute_0_1593,plain,
composition(converse(converse(X_82)),complement(zero)) = composition(converse(converse(X_82)),complement(zero)),
introduced(tautology,[refl,[$fot(composition(converse(converse(X_82)),complement(zero)))]]) ).
cnf(refute_0_1594,plain,
( composition(converse(converse(X_82)),complement(zero)) != composition(converse(converse(X_82)),complement(zero))
| converse(converse(X_82)) != X_82
| composition(converse(converse(X_82)),complement(zero)) = composition(X_82,complement(zero)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(converse(X_82)),complement(zero)),composition(converse(converse(X_82)),complement(zero))) ),[1,0],$fot(X_82)]]) ).
cnf(refute_0_1595,plain,
( converse(converse(X_82)) != X_82
| composition(converse(converse(X_82)),complement(zero)) = composition(X_82,complement(zero)) ),
inference(resolve,[$cnf( $equal(composition(converse(converse(X_82)),complement(zero)),composition(converse(converse(X_82)),complement(zero))) )],[refute_0_1593,refute_0_1594]) ).
cnf(refute_0_1596,plain,
composition(converse(converse(X_82)),complement(zero)) = composition(X_82,complement(zero)),
inference(resolve,[$cnf( $equal(converse(converse(X_82)),X_82) )],[refute_0_1592,refute_0_1595]) ).
cnf(refute_0_1597,plain,
( composition(X_82,complement(zero)) != composition(X_82,top)
| composition(converse(converse(X_82)),complement(zero)) != composition(X_82,complement(zero))
| composition(converse(converse(X_82)),complement(zero)) = composition(X_82,top) ),
inference(subst,[],[refute_0_71:[bind(X,$fot(composition(converse(converse(X_82)),complement(zero)))),bind(Y,$fot(composition(X_82,complement(zero)))),bind(Z,$fot(composition(X_82,top)))]]) ).
cnf(refute_0_1598,plain,
( composition(X_82,complement(zero)) != composition(X_82,top)
| composition(converse(converse(X_82)),complement(zero)) = composition(X_82,top) ),
inference(resolve,[$cnf( $equal(composition(converse(converse(X_82)),complement(zero)),composition(X_82,complement(zero))) )],[refute_0_1596,refute_0_1597]) ).
cnf(refute_0_1599,plain,
composition(converse(converse(X_82)),complement(zero)) = composition(X_82,top),
inference(resolve,[$cnf( $equal(composition(X_82,complement(zero)),composition(X_82,top)) )],[refute_0_1591,refute_0_1598]) ).
cnf(refute_0_1600,plain,
join(composition(X_82,top),composition(converse(converse(X_82)),complement(zero))) = join(composition(X_82,top),composition(converse(converse(X_82)),complement(zero))),
introduced(tautology,[refl,[$fot(join(composition(X_82,top),composition(converse(converse(X_82)),complement(zero))))]]) ).
cnf(refute_0_1601,plain,
( composition(converse(converse(X_82)),complement(zero)) != composition(X_82,top)
| join(composition(X_82,top),composition(converse(converse(X_82)),complement(zero))) != join(composition(X_82,top),composition(converse(converse(X_82)),complement(zero)))
| join(composition(X_82,top),composition(converse(converse(X_82)),complement(zero))) = join(composition(X_82,top),composition(X_82,top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(X_82,top),composition(converse(converse(X_82)),complement(zero))),join(composition(X_82,top),composition(converse(converse(X_82)),complement(zero)))) ),[1,1],$fot(composition(X_82,top))]]) ).
cnf(refute_0_1602,plain,
( composition(converse(converse(X_82)),complement(zero)) != composition(X_82,top)
| join(composition(X_82,top),composition(converse(converse(X_82)),complement(zero))) = join(composition(X_82,top),composition(X_82,top)) ),
inference(resolve,[$cnf( $equal(join(composition(X_82,top),composition(converse(converse(X_82)),complement(zero))),join(composition(X_82,top),composition(converse(converse(X_82)),complement(zero)))) )],[refute_0_1600,refute_0_1601]) ).
cnf(refute_0_1603,plain,
join(composition(X_82,top),composition(converse(converse(X_82)),complement(zero))) = join(composition(X_82,top),composition(X_82,top)),
inference(resolve,[$cnf( $equal(composition(converse(converse(X_82)),complement(zero)),composition(X_82,top)) )],[refute_0_1599,refute_0_1602]) ).
cnf(refute_0_1604,plain,
complement(complement(composition(X_82,top))) = composition(X_82,top),
inference(subst,[],[refute_0_781:[bind(X1,$fot(composition(X_82,top)))]]) ).
cnf(refute_0_1605,plain,
join(complement(complement(composition(X_82,top))),composition(converse(converse(X_82)),complement(zero))) = join(complement(complement(composition(X_82,top))),composition(converse(converse(X_82)),complement(zero))),
introduced(tautology,[refl,[$fot(join(complement(complement(composition(X_82,top))),composition(converse(converse(X_82)),complement(zero))))]]) ).
cnf(refute_0_1606,plain,
( complement(complement(composition(X_82,top))) != composition(X_82,top)
| join(complement(complement(composition(X_82,top))),composition(converse(converse(X_82)),complement(zero))) != join(complement(complement(composition(X_82,top))),composition(converse(converse(X_82)),complement(zero)))
| join(complement(complement(composition(X_82,top))),composition(converse(converse(X_82)),complement(zero))) = join(composition(X_82,top),composition(converse(converse(X_82)),complement(zero))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(composition(X_82,top))),composition(converse(converse(X_82)),complement(zero))),join(complement(complement(composition(X_82,top))),composition(converse(converse(X_82)),complement(zero)))) ),[1,0],$fot(composition(X_82,top))]]) ).
cnf(refute_0_1607,plain,
( complement(complement(composition(X_82,top))) != composition(X_82,top)
| join(complement(complement(composition(X_82,top))),composition(converse(converse(X_82)),complement(zero))) = join(composition(X_82,top),composition(converse(converse(X_82)),complement(zero))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(composition(X_82,top))),composition(converse(converse(X_82)),complement(zero))),join(complement(complement(composition(X_82,top))),composition(converse(converse(X_82)),complement(zero)))) )],[refute_0_1605,refute_0_1606]) ).
cnf(refute_0_1608,plain,
join(complement(complement(composition(X_82,top))),composition(converse(converse(X_82)),complement(zero))) = join(composition(X_82,top),composition(converse(converse(X_82)),complement(zero))),
inference(resolve,[$cnf( $equal(complement(complement(composition(X_82,top))),composition(X_82,top)) )],[refute_0_1604,refute_0_1607]) ).
cnf(refute_0_1609,plain,
( join(complement(complement(composition(X_82,top))),composition(converse(converse(X_82)),complement(zero))) != join(composition(X_82,top),composition(converse(converse(X_82)),complement(zero)))
| join(composition(X_82,top),composition(converse(converse(X_82)),complement(zero))) != join(composition(X_82,top),composition(X_82,top))
| join(complement(complement(composition(X_82,top))),composition(converse(converse(X_82)),complement(zero))) = join(composition(X_82,top),composition(X_82,top)) ),
inference(subst,[],[refute_0_71:[bind(X,$fot(join(complement(complement(composition(X_82,top))),composition(converse(converse(X_82)),complement(zero))))),bind(Y,$fot(join(composition(X_82,top),composition(converse(converse(X_82)),complement(zero))))),bind(Z,$fot(join(composition(X_82,top),composition(X_82,top))))]]) ).
cnf(refute_0_1610,plain,
( join(composition(X_82,top),composition(converse(converse(X_82)),complement(zero))) != join(composition(X_82,top),composition(X_82,top))
| join(complement(complement(composition(X_82,top))),composition(converse(converse(X_82)),complement(zero))) = join(composition(X_82,top),composition(X_82,top)) ),
inference(resolve,[$cnf( $equal(join(complement(complement(composition(X_82,top))),composition(converse(converse(X_82)),complement(zero))),join(composition(X_82,top),composition(converse(converse(X_82)),complement(zero)))) )],[refute_0_1608,refute_0_1609]) ).
cnf(refute_0_1611,plain,
join(complement(complement(composition(X_82,top))),composition(converse(converse(X_82)),complement(zero))) = join(composition(X_82,top),composition(X_82,top)),
inference(resolve,[$cnf( $equal(join(composition(X_82,top),composition(converse(converse(X_82)),complement(zero))),join(composition(X_82,top),composition(X_82,top))) )],[refute_0_1603,refute_0_1610]) ).
cnf(refute_0_1612,plain,
( join(complement(complement(composition(X_82,top))),composition(converse(converse(X_82)),complement(zero))) != join(composition(X_82,top),composition(X_82,top))
| join(composition(X_82,top),composition(X_82,top)) != composition(join(X_82,X_82),top)
| join(complement(complement(composition(X_82,top))),composition(converse(converse(X_82)),complement(zero))) = composition(join(X_82,X_82),top) ),
inference(subst,[],[refute_0_71:[bind(X,$fot(join(complement(complement(composition(X_82,top))),composition(converse(converse(X_82)),complement(zero))))),bind(Y,$fot(join(composition(X_82,top),composition(X_82,top)))),bind(Z,$fot(composition(join(X_82,X_82),top)))]]) ).
cnf(refute_0_1613,plain,
( join(composition(X_82,top),composition(X_82,top)) != composition(join(X_82,X_82),top)
| join(complement(complement(composition(X_82,top))),composition(converse(converse(X_82)),complement(zero))) = composition(join(X_82,X_82),top) ),
inference(resolve,[$cnf( $equal(join(complement(complement(composition(X_82,top))),composition(converse(converse(X_82)),complement(zero))),join(composition(X_82,top),composition(X_82,top))) )],[refute_0_1611,refute_0_1612]) ).
cnf(refute_0_1614,plain,
join(complement(complement(composition(X_82,top))),composition(converse(converse(X_82)),complement(zero))) = composition(join(X_82,X_82),top),
inference(resolve,[$cnf( $equal(join(composition(X_82,top),composition(X_82,top)),composition(join(X_82,X_82),top)) )],[refute_0_1587,refute_0_1613]) ).
cnf(refute_0_1615,plain,
( join(complement(complement(composition(X_82,top))),composition(converse(converse(X_82)),complement(zero))) != complement(complement(composition(X_82,top)))
| join(complement(complement(composition(X_82,top))),composition(converse(converse(X_82)),complement(zero))) != composition(join(X_82,X_82),top)
| composition(join(X_82,X_82),top) = complement(complement(composition(X_82,top))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(composition(X_82,top))),composition(converse(converse(X_82)),complement(zero))),complement(complement(composition(X_82,top)))) ),[0],$fot(composition(join(X_82,X_82),top))]]) ).
cnf(refute_0_1616,plain,
( join(complement(complement(composition(X_82,top))),composition(converse(converse(X_82)),complement(zero))) != complement(complement(composition(X_82,top)))
| composition(join(X_82,X_82),top) = complement(complement(composition(X_82,top))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(composition(X_82,top))),composition(converse(converse(X_82)),complement(zero))),composition(join(X_82,X_82),top)) )],[refute_0_1614,refute_0_1615]) ).
cnf(refute_0_1617,plain,
( complement(complement(composition(X_82,top))) != composition(X_82,top)
| composition(join(X_82,X_82),top) != complement(complement(composition(X_82,top)))
| composition(join(X_82,X_82),top) = composition(X_82,top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X_82,X_82),top),complement(complement(composition(X_82,top)))) ),[1],$fot(composition(X_82,top))]]) ).
cnf(refute_0_1618,plain,
( composition(join(X_82,X_82),top) != complement(complement(composition(X_82,top)))
| composition(join(X_82,X_82),top) = composition(X_82,top) ),
inference(resolve,[$cnf( $equal(complement(complement(composition(X_82,top))),composition(X_82,top)) )],[refute_0_1604,refute_0_1617]) ).
cnf(refute_0_1619,plain,
( join(complement(complement(composition(X_82,top))),composition(converse(converse(X_82)),complement(zero))) != complement(complement(composition(X_82,top)))
| composition(join(X_82,X_82),top) = composition(X_82,top) ),
inference(resolve,[$cnf( $equal(composition(join(X_82,X_82),top),complement(complement(composition(X_82,top)))) )],[refute_0_1616,refute_0_1618]) ).
cnf(refute_0_1620,plain,
composition(join(X_82,X_82),top) = composition(X_82,top),
inference(resolve,[$cnf( $equal(join(complement(complement(composition(X_82,top))),composition(converse(converse(X_82)),complement(zero))),complement(complement(composition(X_82,top)))) )],[refute_0_1584,refute_0_1619]) ).
cnf(refute_0_1621,plain,
composition(join(one,one),top) = composition(one,top),
inference(subst,[],[refute_0_1620:[bind(X_82,$fot(one))]]) ).
cnf(refute_0_1622,plain,
( composition(join(one,one),top) != composition(one,top)
| composition(one,top) != top
| composition(join(one,one),top) = top ),
inference(subst,[],[refute_0_71:[bind(X,$fot(composition(join(one,one),top))),bind(Y,$fot(composition(one,top))),bind(Z,$fot(top))]]) ).
cnf(refute_0_1623,plain,
( composition(one,top) != top
| composition(join(one,one),top) = top ),
inference(resolve,[$cnf( $equal(composition(join(one,one),top),composition(one,top)) )],[refute_0_1621,refute_0_1622]) ).
cnf(refute_0_1624,plain,
composition(join(one,one),top) = top,
inference(resolve,[$cnf( $equal(composition(one,top),top) )],[refute_0_1580,refute_0_1623]) ).
cnf(refute_0_1625,plain,
composition(join(one,one),complement(zero)) = composition(join(one,one),complement(zero)),
introduced(tautology,[refl,[$fot(composition(join(one,one),complement(zero)))]]) ).
cnf(refute_0_1626,plain,
( complement(zero) != top
| composition(join(one,one),complement(zero)) != composition(join(one,one),complement(zero))
| composition(join(one,one),complement(zero)) = composition(join(one,one),top) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,one),complement(zero)),composition(join(one,one),complement(zero))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_1627,plain,
( complement(zero) != top
| composition(join(one,one),complement(zero)) = composition(join(one,one),top) ),
inference(resolve,[$cnf( $equal(composition(join(one,one),complement(zero)),composition(join(one,one),complement(zero))) )],[refute_0_1625,refute_0_1626]) ).
cnf(refute_0_1628,plain,
composition(join(one,one),complement(zero)) = composition(join(one,one),top),
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_1520,refute_0_1627]) ).
cnf(refute_0_1629,plain,
( composition(join(one,one),complement(zero)) != composition(join(one,one),top)
| composition(join(one,one),top) != top
| composition(join(one,one),complement(zero)) = top ),
inference(subst,[],[refute_0_71:[bind(X,$fot(composition(join(one,one),complement(zero)))),bind(Y,$fot(composition(join(one,one),top))),bind(Z,$fot(top))]]) ).
cnf(refute_0_1630,plain,
( composition(join(one,one),top) != top
| composition(join(one,one),complement(zero)) = top ),
inference(resolve,[$cnf( $equal(composition(join(one,one),complement(zero)),composition(join(one,one),top)) )],[refute_0_1628,refute_0_1629]) ).
cnf(refute_0_1631,plain,
composition(join(one,one),complement(zero)) = top,
inference(resolve,[$cnf( $equal(composition(join(one,one),top),top) )],[refute_0_1624,refute_0_1630]) ).
cnf(refute_0_1632,plain,
join(composition(top,top),composition(join(one,one),complement(zero))) = join(composition(top,top),composition(join(one,one),complement(zero))),
introduced(tautology,[refl,[$fot(join(composition(top,top),composition(join(one,one),complement(zero))))]]) ).
cnf(refute_0_1633,plain,
( composition(join(one,one),complement(zero)) != top
| join(composition(top,top),composition(join(one,one),complement(zero))) != join(composition(top,top),composition(join(one,one),complement(zero)))
| join(composition(top,top),composition(join(one,one),complement(zero))) = join(composition(top,top),top) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(top,top),composition(join(one,one),complement(zero))),join(composition(top,top),composition(join(one,one),complement(zero)))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_1634,plain,
( composition(join(one,one),complement(zero)) != top
| join(composition(top,top),composition(join(one,one),complement(zero))) = join(composition(top,top),top) ),
inference(resolve,[$cnf( $equal(join(composition(top,top),composition(join(one,one),complement(zero))),join(composition(top,top),composition(join(one,one),complement(zero)))) )],[refute_0_1632,refute_0_1633]) ).
cnf(refute_0_1635,plain,
join(composition(top,top),composition(join(one,one),complement(zero))) = join(composition(top,top),top),
inference(resolve,[$cnf( $equal(composition(join(one,one),complement(zero)),top) )],[refute_0_1631,refute_0_1634]) ).
cnf(refute_0_1636,plain,
complement(complement(composition(top,top))) = composition(top,top),
inference(subst,[],[refute_0_781:[bind(X1,$fot(composition(top,top)))]]) ).
cnf(refute_0_1637,plain,
join(complement(complement(composition(top,top))),composition(join(one,one),complement(zero))) = join(complement(complement(composition(top,top))),composition(join(one,one),complement(zero))),
introduced(tautology,[refl,[$fot(join(complement(complement(composition(top,top))),composition(join(one,one),complement(zero))))]]) ).
cnf(refute_0_1638,plain,
( complement(complement(composition(top,top))) != composition(top,top)
| join(complement(complement(composition(top,top))),composition(join(one,one),complement(zero))) != join(complement(complement(composition(top,top))),composition(join(one,one),complement(zero)))
| join(complement(complement(composition(top,top))),composition(join(one,one),complement(zero))) = join(composition(top,top),composition(join(one,one),complement(zero))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(composition(top,top))),composition(join(one,one),complement(zero))),join(complement(complement(composition(top,top))),composition(join(one,one),complement(zero)))) ),[1,0],$fot(composition(top,top))]]) ).
cnf(refute_0_1639,plain,
( complement(complement(composition(top,top))) != composition(top,top)
| join(complement(complement(composition(top,top))),composition(join(one,one),complement(zero))) = join(composition(top,top),composition(join(one,one),complement(zero))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(composition(top,top))),composition(join(one,one),complement(zero))),join(complement(complement(composition(top,top))),composition(join(one,one),complement(zero)))) )],[refute_0_1637,refute_0_1638]) ).
cnf(refute_0_1640,plain,
join(complement(complement(composition(top,top))),composition(join(one,one),complement(zero))) = join(composition(top,top),composition(join(one,one),complement(zero))),
inference(resolve,[$cnf( $equal(complement(complement(composition(top,top))),composition(top,top)) )],[refute_0_1636,refute_0_1639]) ).
cnf(refute_0_1641,plain,
( join(complement(complement(composition(top,top))),composition(join(one,one),complement(zero))) != join(composition(top,top),composition(join(one,one),complement(zero)))
| join(composition(top,top),composition(join(one,one),complement(zero))) != join(composition(top,top),top)
| join(complement(complement(composition(top,top))),composition(join(one,one),complement(zero))) = join(composition(top,top),top) ),
inference(subst,[],[refute_0_71:[bind(X,$fot(join(complement(complement(composition(top,top))),composition(join(one,one),complement(zero))))),bind(Y,$fot(join(composition(top,top),composition(join(one,one),complement(zero))))),bind(Z,$fot(join(composition(top,top),top)))]]) ).
cnf(refute_0_1642,plain,
( join(composition(top,top),composition(join(one,one),complement(zero))) != join(composition(top,top),top)
| join(complement(complement(composition(top,top))),composition(join(one,one),complement(zero))) = join(composition(top,top),top) ),
inference(resolve,[$cnf( $equal(join(complement(complement(composition(top,top))),composition(join(one,one),complement(zero))),join(composition(top,top),composition(join(one,one),complement(zero)))) )],[refute_0_1640,refute_0_1641]) ).
cnf(refute_0_1643,plain,
join(complement(complement(composition(top,top))),composition(join(one,one),complement(zero))) = join(composition(top,top),top),
inference(resolve,[$cnf( $equal(join(composition(top,top),composition(join(one,one),complement(zero))),join(composition(top,top),top)) )],[refute_0_1635,refute_0_1642]) ).
cnf(refute_0_1644,plain,
( join(complement(complement(composition(top,top))),composition(join(one,one),complement(zero))) != join(composition(top,top),top)
| join(composition(top,top),top) != top
| join(complement(complement(composition(top,top))),composition(join(one,one),complement(zero))) = top ),
inference(subst,[],[refute_0_71:[bind(X,$fot(join(complement(complement(composition(top,top))),composition(join(one,one),complement(zero))))),bind(Y,$fot(join(composition(top,top),top))),bind(Z,$fot(top))]]) ).
cnf(refute_0_1645,plain,
( join(composition(top,top),top) != top
| join(complement(complement(composition(top,top))),composition(join(one,one),complement(zero))) = top ),
inference(resolve,[$cnf( $equal(join(complement(complement(composition(top,top))),composition(join(one,one),complement(zero))),join(composition(top,top),top)) )],[refute_0_1643,refute_0_1644]) ).
cnf(refute_0_1646,plain,
join(complement(complement(composition(top,top))),composition(join(one,one),complement(zero))) = top,
inference(resolve,[$cnf( $equal(join(composition(top,top),top),top) )],[refute_0_1579,refute_0_1645]) ).
cnf(refute_0_1647,plain,
( join(complement(complement(composition(top,top))),composition(join(one,one),complement(zero))) != complement(complement(composition(top,top)))
| join(complement(complement(composition(top,top))),composition(join(one,one),complement(zero))) != top
| top = complement(complement(composition(top,top))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(composition(top,top))),composition(join(one,one),complement(zero))),complement(complement(composition(top,top)))) ),[0],$fot(top)]]) ).
cnf(refute_0_1648,plain,
( join(complement(complement(composition(top,top))),composition(join(one,one),complement(zero))) != complement(complement(composition(top,top)))
| top = complement(complement(composition(top,top))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(composition(top,top))),composition(join(one,one),complement(zero))),top) )],[refute_0_1646,refute_0_1647]) ).
cnf(refute_0_1649,plain,
( complement(complement(composition(top,top))) != composition(top,top)
| top != complement(complement(composition(top,top)))
| top = composition(top,top) ),
introduced(tautology,[equality,[$cnf( $equal(top,complement(complement(composition(top,top)))) ),[1],$fot(composition(top,top))]]) ).
cnf(refute_0_1650,plain,
( top != complement(complement(composition(top,top)))
| top = composition(top,top) ),
inference(resolve,[$cnf( $equal(complement(complement(composition(top,top))),composition(top,top)) )],[refute_0_1636,refute_0_1649]) ).
cnf(refute_0_1651,plain,
( join(complement(complement(composition(top,top))),composition(join(one,one),complement(zero))) != complement(complement(composition(top,top)))
| top = composition(top,top) ),
inference(resolve,[$cnf( $equal(top,complement(complement(composition(top,top)))) )],[refute_0_1648,refute_0_1650]) ).
cnf(refute_0_1652,plain,
top = composition(top,top),
inference(resolve,[$cnf( $equal(join(complement(complement(composition(top,top))),composition(join(one,one),complement(zero))),complement(complement(composition(top,top)))) )],[refute_0_1578,refute_0_1651]) ).
cnf(refute_0_1653,plain,
( top != composition(top,top)
| composition(top,top) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(composition(top,top)))]]) ).
cnf(refute_0_1654,plain,
composition(top,top) = top,
inference(resolve,[$cnf( $equal(top,composition(top,top)) )],[refute_0_1652,refute_0_1653]) ).
cnf(refute_0_1655,plain,
( composition(top,composition(top,X2)) != composition(composition(top,top),X2)
| composition(top,top) != top
| composition(top,composition(top,X2)) = composition(top,X2) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,composition(top,X2)),composition(composition(top,top),X2)) ),[1,0],$fot(top)]]) ).
cnf(refute_0_1656,plain,
( composition(top,composition(top,X2)) != composition(composition(top,top),X2)
| composition(top,composition(top,X2)) = composition(top,X2) ),
inference(resolve,[$cnf( $equal(composition(top,top),top) )],[refute_0_1654,refute_0_1655]) ).
cnf(refute_0_1657,plain,
composition(top,composition(top,X2)) = composition(top,X2),
inference(resolve,[$cnf( $equal(composition(top,composition(top,X2)),composition(composition(top,top),X2)) )],[refute_0_1457,refute_0_1656]) ).
cnf(refute_0_1658,plain,
composition(top,composition(top,X_155)) = composition(top,X_155),
inference(subst,[],[refute_0_1657:[bind(X2,$fot(X_155))]]) ).
cnf(refute_0_1659,plain,
( composition(top,composition(top,X_155)) != composition(top,X_155)
| join(complement(composition(top,X_155)),composition(converse(top),complement(composition(top,composition(top,X_155))))) != complement(composition(top,X_155))
| join(complement(composition(top,X_155)),composition(converse(top),complement(composition(top,X_155)))) = complement(composition(top,X_155)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(composition(top,X_155)),composition(converse(top),complement(composition(top,composition(top,X_155))))),complement(composition(top,X_155))) ),[0,1,1,0],$fot(composition(top,X_155))]]) ).
cnf(refute_0_1660,plain,
( join(complement(composition(top,X_155)),composition(converse(top),complement(composition(top,composition(top,X_155))))) != complement(composition(top,X_155))
| join(complement(composition(top,X_155)),composition(converse(top),complement(composition(top,X_155)))) = complement(composition(top,X_155)) ),
inference(resolve,[$cnf( $equal(composition(top,composition(top,X_155)),composition(top,X_155)) )],[refute_0_1658,refute_0_1659]) ).
cnf(refute_0_1661,plain,
join(complement(composition(top,X_155)),composition(converse(top),complement(composition(top,X_155)))) = complement(composition(top,X_155)),
inference(resolve,[$cnf( $equal(join(complement(composition(top,X_155)),composition(converse(top),complement(composition(top,composition(top,X_155))))),complement(composition(top,X_155))) )],[refute_0_1455,refute_0_1660]) ).
cnf(refute_0_1662,plain,
join(one,top) = top,
inference(subst,[],[refute_0_372:[bind(X_64,$fot(one))]]) ).
cnf(refute_0_1663,plain,
converse(join(one,top)) = converse(join(one,top)),
introduced(tautology,[refl,[$fot(converse(join(one,top)))]]) ).
cnf(refute_0_1664,plain,
( converse(join(one,top)) != converse(join(one,top))
| join(one,top) != top
| converse(join(one,top)) = converse(top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,top)),converse(join(one,top))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_1665,plain,
( join(one,top) != top
| converse(join(one,top)) = converse(top) ),
inference(resolve,[$cnf( $equal(converse(join(one,top)),converse(join(one,top))) )],[refute_0_1663,refute_0_1664]) ).
cnf(refute_0_1666,plain,
converse(join(one,top)) = converse(top),
inference(resolve,[$cnf( $equal(join(one,top),top) )],[refute_0_1662,refute_0_1665]) ).
cnf(refute_0_1667,plain,
( converse(join(one,top)) != converse(top)
| converse(top) != top
| converse(join(one,top)) = top ),
inference(subst,[],[refute_0_71:[bind(X,$fot(converse(join(one,top)))),bind(Y,$fot(converse(top))),bind(Z,$fot(top))]]) ).
cnf(refute_0_1668,plain,
( converse(top) != top
| converse(join(one,top)) = top ),
inference(resolve,[$cnf( $equal(converse(join(one,top)),converse(top)) )],[refute_0_1666,refute_0_1667]) ).
cnf(refute_0_1669,plain,
converse(join(one,top)) = top,
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_586,refute_0_1668]) ).
cnf(refute_0_1670,plain,
( converse(join(one,X_5)) != join(one,converse(X_5))
| join(one,converse(X_5)) = converse(join(one,X_5)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(converse(join(one,X_5)))),bind(Y,$fot(join(one,converse(X_5))))]]) ).
cnf(refute_0_1671,plain,
join(one,converse(X_5)) = converse(join(one,X_5)),
inference(resolve,[$cnf( $equal(converse(join(one,X_5)),join(one,converse(X_5))) )],[refute_0_764,refute_0_1670]) ).
cnf(refute_0_1672,plain,
join(one,converse(top)) = converse(join(one,top)),
inference(subst,[],[refute_0_1671:[bind(X_5,$fot(top))]]) ).
cnf(refute_0_1673,plain,
( converse(join(one,top)) != top
| join(one,converse(top)) != converse(join(one,top))
| join(one,converse(top)) = top ),
inference(subst,[],[refute_0_71:[bind(X,$fot(join(one,converse(top)))),bind(Y,$fot(converse(join(one,top)))),bind(Z,$fot(top))]]) ).
cnf(refute_0_1674,plain,
( converse(join(one,top)) != top
| join(one,converse(top)) = top ),
inference(resolve,[$cnf( $equal(join(one,converse(top)),converse(join(one,top))) )],[refute_0_1672,refute_0_1673]) ).
cnf(refute_0_1675,plain,
join(one,converse(top)) = top,
inference(resolve,[$cnf( $equal(converse(join(one,top)),top) )],[refute_0_1669,refute_0_1674]) ).
cnf(refute_0_1676,plain,
composition(join(one,converse(top)),complement(composition(top,X_155))) = composition(join(one,converse(top)),complement(composition(top,X_155))),
introduced(tautology,[refl,[$fot(composition(join(one,converse(top)),complement(composition(top,X_155))))]]) ).
cnf(refute_0_1677,plain,
( composition(join(one,converse(top)),complement(composition(top,X_155))) != composition(join(one,converse(top)),complement(composition(top,X_155)))
| join(one,converse(top)) != top
| composition(join(one,converse(top)),complement(composition(top,X_155))) = composition(top,complement(composition(top,X_155))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,converse(top)),complement(composition(top,X_155))),composition(join(one,converse(top)),complement(composition(top,X_155)))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_1678,plain,
( join(one,converse(top)) != top
| composition(join(one,converse(top)),complement(composition(top,X_155))) = composition(top,complement(composition(top,X_155))) ),
inference(resolve,[$cnf( $equal(composition(join(one,converse(top)),complement(composition(top,X_155))),composition(join(one,converse(top)),complement(composition(top,X_155)))) )],[refute_0_1676,refute_0_1677]) ).
cnf(refute_0_1679,plain,
composition(join(one,converse(top)),complement(composition(top,X_155))) = composition(top,complement(composition(top,X_155))),
inference(resolve,[$cnf( $equal(join(one,converse(top)),top) )],[refute_0_1675,refute_0_1678]) ).
cnf(refute_0_1680,plain,
join(composition(X_108,X_109),composition(X_107,X_109)) = join(composition(X_107,X_109),composition(X_108,X_109)),
inference(subst,[],[refute_0_1:[bind(X0,$fot(composition(X_108,X_109))),bind(X1,$fot(composition(X_107,X_109)))]]) ).
cnf(refute_0_1681,plain,
composition(join(X_107,X_108),X_109) = join(composition(X_107,X_109),composition(X_108,X_109)),
inference(subst,[],[refute_0_1165:[bind(X0,$fot(X_107)),bind(X1,$fot(X_108)),bind(X2,$fot(X_109))]]) ).
cnf(refute_0_1682,plain,
( composition(join(X_107,X_108),X_109) != join(composition(X_107,X_109),composition(X_108,X_109))
| join(composition(X_107,X_109),composition(X_108,X_109)) = composition(join(X_107,X_108),X_109) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(composition(join(X_107,X_108),X_109))),bind(Y,$fot(join(composition(X_107,X_109),composition(X_108,X_109))))]]) ).
cnf(refute_0_1683,plain,
join(composition(X_107,X_109),composition(X_108,X_109)) = composition(join(X_107,X_108),X_109),
inference(resolve,[$cnf( $equal(composition(join(X_107,X_108),X_109),join(composition(X_107,X_109),composition(X_108,X_109))) )],[refute_0_1681,refute_0_1682]) ).
cnf(refute_0_1684,plain,
( join(composition(X_107,X_109),composition(X_108,X_109)) != composition(join(X_107,X_108),X_109)
| join(composition(X_108,X_109),composition(X_107,X_109)) != join(composition(X_107,X_109),composition(X_108,X_109))
| join(composition(X_108,X_109),composition(X_107,X_109)) = composition(join(X_107,X_108),X_109) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(X_108,X_109),composition(X_107,X_109)),join(composition(X_107,X_109),composition(X_108,X_109))) ),[1],$fot(composition(join(X_107,X_108),X_109))]]) ).
cnf(refute_0_1685,plain,
( join(composition(X_108,X_109),composition(X_107,X_109)) != join(composition(X_107,X_109),composition(X_108,X_109))
| join(composition(X_108,X_109),composition(X_107,X_109)) = composition(join(X_107,X_108),X_109) ),
inference(resolve,[$cnf( $equal(join(composition(X_107,X_109),composition(X_108,X_109)),composition(join(X_107,X_108),X_109)) )],[refute_0_1683,refute_0_1684]) ).
cnf(refute_0_1686,plain,
join(composition(X_108,X_109),composition(X_107,X_109)) = composition(join(X_107,X_108),X_109),
inference(resolve,[$cnf( $equal(join(composition(X_108,X_109),composition(X_107,X_109)),join(composition(X_107,X_109),composition(X_108,X_109))) )],[refute_0_1680,refute_0_1685]) ).
cnf(refute_0_1687,plain,
join(composition(X_108,X_109),composition(X_107,X_109)) = composition(join(X_108,X_107),X_109),
inference(subst,[],[refute_0_1586:[bind(X0,$fot(X_108)),bind(X1,$fot(X_107)),bind(X2,$fot(X_109))]]) ).
cnf(refute_0_1688,plain,
( join(composition(X_108,X_109),composition(X_107,X_109)) != composition(join(X_107,X_108),X_109)
| join(composition(X_108,X_109),composition(X_107,X_109)) != composition(join(X_108,X_107),X_109)
| composition(join(X_108,X_107),X_109) = composition(join(X_107,X_108),X_109) ),
introduced(tautology,[equality,[$cnf( $equal(join(composition(X_108,X_109),composition(X_107,X_109)),composition(join(X_107,X_108),X_109)) ),[0],$fot(composition(join(X_108,X_107),X_109))]]) ).
cnf(refute_0_1689,plain,
( join(composition(X_108,X_109),composition(X_107,X_109)) != composition(join(X_107,X_108),X_109)
| composition(join(X_108,X_107),X_109) = composition(join(X_107,X_108),X_109) ),
inference(resolve,[$cnf( $equal(join(composition(X_108,X_109),composition(X_107,X_109)),composition(join(X_108,X_107),X_109)) )],[refute_0_1687,refute_0_1688]) ).
cnf(refute_0_1690,plain,
composition(join(X_108,X_107),X_109) = composition(join(X_107,X_108),X_109),
inference(resolve,[$cnf( $equal(join(composition(X_108,X_109),composition(X_107,X_109)),composition(join(X_107,X_108),X_109)) )],[refute_0_1686,refute_0_1689]) ).
cnf(refute_0_1691,plain,
( composition(join(X_108,X_107),X_109) != composition(join(X_107,X_108),X_109)
| composition(join(X_107,X_108),X_109) = composition(join(X_108,X_107),X_109) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(composition(join(X_108,X_107),X_109))),bind(Y,$fot(composition(join(X_107,X_108),X_109)))]]) ).
cnf(refute_0_1692,plain,
composition(join(X_107,X_108),X_109) = composition(join(X_108,X_107),X_109),
inference(resolve,[$cnf( $equal(composition(join(X_108,X_107),X_109),composition(join(X_107,X_108),X_109)) )],[refute_0_1690,refute_0_1691]) ).
cnf(refute_0_1693,plain,
composition(join(converse(top),one),complement(composition(top,X_155))) = composition(join(one,converse(top)),complement(composition(top,X_155))),
inference(subst,[],[refute_0_1692:[bind(X_107,$fot(converse(top))),bind(X_108,$fot(one)),bind(X_109,$fot(complement(composition(top,X_155))))]]) ).
cnf(refute_0_1694,plain,
( composition(join(X_107,one),X_109) != join(X_109,composition(X_107,X_109))
| join(X_109,composition(X_107,X_109)) = composition(join(X_107,one),X_109) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(composition(join(X_107,one),X_109))),bind(Y,$fot(join(X_109,composition(X_107,X_109))))]]) ).
cnf(refute_0_1695,plain,
join(X_109,composition(X_107,X_109)) = composition(join(X_107,one),X_109),
inference(resolve,[$cnf( $equal(composition(join(X_107,one),X_109),join(X_109,composition(X_107,X_109))) )],[refute_0_1176,refute_0_1694]) ).
cnf(refute_0_1696,plain,
join(complement(composition(top,X_155)),composition(converse(top),complement(composition(top,X_155)))) = composition(join(converse(top),one),complement(composition(top,X_155))),
inference(subst,[],[refute_0_1695:[bind(X_107,$fot(converse(top))),bind(X_109,$fot(complement(composition(top,X_155))))]]) ).
cnf(refute_0_1697,plain,
( composition(join(converse(top),one),complement(composition(top,X_155))) != composition(join(one,converse(top)),complement(composition(top,X_155)))
| join(complement(composition(top,X_155)),composition(converse(top),complement(composition(top,X_155)))) != composition(join(converse(top),one),complement(composition(top,X_155)))
| join(complement(composition(top,X_155)),composition(converse(top),complement(composition(top,X_155)))) = composition(join(one,converse(top)),complement(composition(top,X_155))) ),
inference(subst,[],[refute_0_71:[bind(X,$fot(join(complement(composition(top,X_155)),composition(converse(top),complement(composition(top,X_155)))))),bind(Y,$fot(composition(join(converse(top),one),complement(composition(top,X_155))))),bind(Z,$fot(composition(join(one,converse(top)),complement(composition(top,X_155)))))]]) ).
cnf(refute_0_1698,plain,
( composition(join(converse(top),one),complement(composition(top,X_155))) != composition(join(one,converse(top)),complement(composition(top,X_155)))
| join(complement(composition(top,X_155)),composition(converse(top),complement(composition(top,X_155)))) = composition(join(one,converse(top)),complement(composition(top,X_155))) ),
inference(resolve,[$cnf( $equal(join(complement(composition(top,X_155)),composition(converse(top),complement(composition(top,X_155)))),composition(join(converse(top),one),complement(composition(top,X_155)))) )],[refute_0_1696,refute_0_1697]) ).
cnf(refute_0_1699,plain,
join(complement(composition(top,X_155)),composition(converse(top),complement(composition(top,X_155)))) = composition(join(one,converse(top)),complement(composition(top,X_155))),
inference(resolve,[$cnf( $equal(composition(join(converse(top),one),complement(composition(top,X_155))),composition(join(one,converse(top)),complement(composition(top,X_155)))) )],[refute_0_1693,refute_0_1698]) ).
cnf(refute_0_1700,plain,
( composition(join(one,converse(top)),complement(composition(top,X_155))) != composition(top,complement(composition(top,X_155)))
| join(complement(composition(top,X_155)),composition(converse(top),complement(composition(top,X_155)))) != composition(join(one,converse(top)),complement(composition(top,X_155)))
| join(complement(composition(top,X_155)),composition(converse(top),complement(composition(top,X_155)))) = composition(top,complement(composition(top,X_155))) ),
inference(subst,[],[refute_0_71:[bind(X,$fot(join(complement(composition(top,X_155)),composition(converse(top),complement(composition(top,X_155)))))),bind(Y,$fot(composition(join(one,converse(top)),complement(composition(top,X_155))))),bind(Z,$fot(composition(top,complement(composition(top,X_155)))))]]) ).
cnf(refute_0_1701,plain,
( composition(join(one,converse(top)),complement(composition(top,X_155))) != composition(top,complement(composition(top,X_155)))
| join(complement(composition(top,X_155)),composition(converse(top),complement(composition(top,X_155)))) = composition(top,complement(composition(top,X_155))) ),
inference(resolve,[$cnf( $equal(join(complement(composition(top,X_155)),composition(converse(top),complement(composition(top,X_155)))),composition(join(one,converse(top)),complement(composition(top,X_155)))) )],[refute_0_1699,refute_0_1700]) ).
cnf(refute_0_1702,plain,
join(complement(composition(top,X_155)),composition(converse(top),complement(composition(top,X_155)))) = composition(top,complement(composition(top,X_155))),
inference(resolve,[$cnf( $equal(composition(join(one,converse(top)),complement(composition(top,X_155))),composition(top,complement(composition(top,X_155)))) )],[refute_0_1679,refute_0_1701]) ).
cnf(refute_0_1703,plain,
( join(complement(composition(top,X_155)),composition(converse(top),complement(composition(top,X_155)))) != complement(composition(top,X_155))
| join(complement(composition(top,X_155)),composition(converse(top),complement(composition(top,X_155)))) != composition(top,complement(composition(top,X_155)))
| composition(top,complement(composition(top,X_155))) = complement(composition(top,X_155)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(composition(top,X_155)),composition(converse(top),complement(composition(top,X_155)))),complement(composition(top,X_155))) ),[0],$fot(composition(top,complement(composition(top,X_155))))]]) ).
cnf(refute_0_1704,plain,
( join(complement(composition(top,X_155)),composition(converse(top),complement(composition(top,X_155)))) != complement(composition(top,X_155))
| composition(top,complement(composition(top,X_155))) = complement(composition(top,X_155)) ),
inference(resolve,[$cnf( $equal(join(complement(composition(top,X_155)),composition(converse(top),complement(composition(top,X_155)))),composition(top,complement(composition(top,X_155)))) )],[refute_0_1702,refute_0_1703]) ).
cnf(refute_0_1705,plain,
composition(top,complement(composition(top,X_155))) = complement(composition(top,X_155)),
inference(resolve,[$cnf( $equal(join(complement(composition(top,X_155)),composition(converse(top),complement(composition(top,X_155)))),complement(composition(top,X_155))) )],[refute_0_1661,refute_0_1704]) ).
cnf(refute_0_1706,plain,
composition(top,complement(composition(top,complement(one)))) = complement(composition(top,complement(one))),
inference(subst,[],[refute_0_1705:[bind(X_155,$fot(complement(one)))]]) ).
cnf(refute_0_1707,plain,
composition(complement(one),composition(top,complement(composition(top,complement(one))))) = composition(complement(one),composition(top,complement(composition(top,complement(one))))),
introduced(tautology,[refl,[$fot(composition(complement(one),composition(top,complement(composition(top,complement(one))))))]]) ).
cnf(refute_0_1708,plain,
( composition(complement(one),composition(top,complement(composition(top,complement(one))))) != composition(complement(one),composition(top,complement(composition(top,complement(one)))))
| composition(top,complement(composition(top,complement(one)))) != complement(composition(top,complement(one)))
| composition(complement(one),composition(top,complement(composition(top,complement(one))))) = composition(complement(one),complement(composition(top,complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(one),composition(top,complement(composition(top,complement(one))))),composition(complement(one),composition(top,complement(composition(top,complement(one)))))) ),[1,1],$fot(complement(composition(top,complement(one))))]]) ).
cnf(refute_0_1709,plain,
( composition(top,complement(composition(top,complement(one)))) != complement(composition(top,complement(one)))
| composition(complement(one),composition(top,complement(composition(top,complement(one))))) = composition(complement(one),complement(composition(top,complement(one)))) ),
inference(resolve,[$cnf( $equal(composition(complement(one),composition(top,complement(composition(top,complement(one))))),composition(complement(one),composition(top,complement(composition(top,complement(one)))))) )],[refute_0_1707,refute_0_1708]) ).
cnf(refute_0_1710,plain,
composition(complement(one),composition(top,complement(composition(top,complement(one))))) = composition(complement(one),complement(composition(top,complement(one)))),
inference(resolve,[$cnf( $equal(composition(top,complement(composition(top,complement(one)))),complement(composition(top,complement(one)))) )],[refute_0_1706,refute_0_1709]) ).
cnf(refute_0_1711,plain,
( composition(X0,composition(X1,X2)) != composition(composition(X0,X1),X2)
| composition(composition(X0,X1),X2) = composition(X0,composition(X1,X2)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(composition(X0,composition(X1,X2)))),bind(Y,$fot(composition(composition(X0,X1),X2)))]]) ).
cnf(refute_0_1712,plain,
composition(composition(X0,X1),X2) = composition(X0,composition(X1,X2)),
inference(resolve,[$cnf( $equal(composition(X0,composition(X1,X2)),composition(composition(X0,X1),X2)) )],[refute_0_1456,refute_0_1711]) ).
cnf(refute_0_1713,plain,
composition(composition(complement(one),top),complement(composition(top,complement(one)))) = composition(complement(one),composition(top,complement(composition(top,complement(one))))),
inference(subst,[],[refute_0_1712:[bind(X0,$fot(complement(one))),bind(X1,$fot(top)),bind(X2,$fot(complement(composition(top,complement(one)))))]]) ).
cnf(refute_0_1714,plain,
( composition(complement(one),composition(top,complement(composition(top,complement(one))))) != composition(complement(one),complement(composition(top,complement(one))))
| composition(composition(complement(one),top),complement(composition(top,complement(one)))) != composition(complement(one),composition(top,complement(composition(top,complement(one)))))
| composition(composition(complement(one),top),complement(composition(top,complement(one)))) = composition(complement(one),complement(composition(top,complement(one)))) ),
inference(subst,[],[refute_0_71:[bind(X,$fot(composition(composition(complement(one),top),complement(composition(top,complement(one)))))),bind(Y,$fot(composition(complement(one),composition(top,complement(composition(top,complement(one))))))),bind(Z,$fot(composition(complement(one),complement(composition(top,complement(one))))))]]) ).
cnf(refute_0_1715,plain,
( composition(complement(one),composition(top,complement(composition(top,complement(one))))) != composition(complement(one),complement(composition(top,complement(one))))
| composition(composition(complement(one),top),complement(composition(top,complement(one)))) = composition(complement(one),complement(composition(top,complement(one)))) ),
inference(resolve,[$cnf( $equal(composition(composition(complement(one),top),complement(composition(top,complement(one)))),composition(complement(one),composition(top,complement(composition(top,complement(one)))))) )],[refute_0_1713,refute_0_1714]) ).
cnf(refute_0_1716,plain,
composition(composition(complement(one),top),complement(composition(top,complement(one)))) = composition(complement(one),complement(composition(top,complement(one)))),
inference(resolve,[$cnf( $equal(composition(complement(one),composition(top,complement(composition(top,complement(one))))),composition(complement(one),complement(composition(top,complement(one))))) )],[refute_0_1710,refute_0_1715]) ).
cnf(refute_0_1717,plain,
join(complement(one),composition(composition(complement(one),top),complement(composition(top,complement(one))))) = join(complement(one),composition(composition(complement(one),top),complement(composition(top,complement(one))))),
introduced(tautology,[refl,[$fot(join(complement(one),composition(composition(complement(one),top),complement(composition(top,complement(one))))))]]) ).
cnf(refute_0_1718,plain,
( composition(composition(complement(one),top),complement(composition(top,complement(one)))) != composition(complement(one),complement(composition(top,complement(one))))
| join(complement(one),composition(composition(complement(one),top),complement(composition(top,complement(one))))) != join(complement(one),composition(composition(complement(one),top),complement(composition(top,complement(one)))))
| join(complement(one),composition(composition(complement(one),top),complement(composition(top,complement(one))))) = join(complement(one),composition(complement(one),complement(composition(top,complement(one))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),composition(composition(complement(one),top),complement(composition(top,complement(one))))),join(complement(one),composition(composition(complement(one),top),complement(composition(top,complement(one)))))) ),[1,1],$fot(composition(complement(one),complement(composition(top,complement(one)))))]]) ).
cnf(refute_0_1719,plain,
( composition(composition(complement(one),top),complement(composition(top,complement(one)))) != composition(complement(one),complement(composition(top,complement(one))))
| join(complement(one),composition(composition(complement(one),top),complement(composition(top,complement(one))))) = join(complement(one),composition(complement(one),complement(composition(top,complement(one))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),composition(composition(complement(one),top),complement(composition(top,complement(one))))),join(complement(one),composition(composition(complement(one),top),complement(composition(top,complement(one)))))) )],[refute_0_1717,refute_0_1718]) ).
cnf(refute_0_1720,plain,
join(complement(one),composition(composition(complement(one),top),complement(composition(top,complement(one))))) = join(complement(one),composition(complement(one),complement(composition(top,complement(one))))),
inference(resolve,[$cnf( $equal(composition(composition(complement(one),top),complement(composition(top,complement(one)))),composition(complement(one),complement(composition(top,complement(one))))) )],[refute_0_1716,refute_0_1719]) ).
cnf(refute_0_1721,plain,
( join(complement(one),composition(composition(complement(one),top),complement(composition(top,complement(one))))) != complement(one)
| join(complement(one),composition(composition(complement(one),top),complement(composition(top,complement(one))))) != join(complement(one),composition(complement(one),complement(composition(top,complement(one)))))
| join(complement(one),composition(complement(one),complement(composition(top,complement(one))))) = complement(one) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),composition(composition(complement(one),top),complement(composition(top,complement(one))))),complement(one)) ),[0],$fot(join(complement(one),composition(complement(one),complement(composition(top,complement(one))))))]]) ).
cnf(refute_0_1722,plain,
( join(complement(one),composition(composition(complement(one),top),complement(composition(top,complement(one))))) != complement(one)
| join(complement(one),composition(complement(one),complement(composition(top,complement(one))))) = complement(one) ),
inference(resolve,[$cnf( $equal(join(complement(one),composition(composition(complement(one),top),complement(composition(top,complement(one))))),join(complement(one),composition(complement(one),complement(composition(top,complement(one)))))) )],[refute_0_1720,refute_0_1721]) ).
cnf(refute_0_1723,plain,
join(complement(one),composition(complement(one),complement(composition(top,complement(one))))) = complement(one),
inference(resolve,[$cnf( $equal(join(complement(one),composition(composition(complement(one),top),complement(composition(top,complement(one))))),complement(one)) )],[refute_0_1454,refute_0_1722]) ).
cnf(refute_0_1724,plain,
( join(complement(one),composition(complement(one),complement(composition(top,complement(one))))) != complement(one)
| meet(one,complement(composition(complement(one),complement(composition(top,complement(one)))))) != complement(join(complement(one),composition(complement(one),complement(composition(top,complement(one))))))
| meet(one,complement(composition(complement(one),complement(composition(top,complement(one)))))) = complement(complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(composition(complement(one),complement(composition(top,complement(one)))))),complement(join(complement(one),composition(complement(one),complement(composition(top,complement(one))))))) ),[1,0],$fot(complement(one))]]) ).
cnf(refute_0_1725,plain,
( meet(one,complement(composition(complement(one),complement(composition(top,complement(one)))))) != complement(join(complement(one),composition(complement(one),complement(composition(top,complement(one))))))
| meet(one,complement(composition(complement(one),complement(composition(top,complement(one)))))) = complement(complement(one)) ),
inference(resolve,[$cnf( $equal(join(complement(one),composition(complement(one),complement(composition(top,complement(one))))),complement(one)) )],[refute_0_1723,refute_0_1724]) ).
cnf(refute_0_1726,plain,
meet(one,complement(composition(complement(one),complement(composition(top,complement(one)))))) = complement(complement(one)),
inference(resolve,[$cnf( $equal(meet(one,complement(composition(complement(one),complement(composition(top,complement(one)))))),complement(join(complement(one),composition(complement(one),complement(composition(top,complement(one))))))) )],[refute_0_1197,refute_0_1725]) ).
cnf(refute_0_1727,plain,
( complement(complement(one)) != one
| meet(one,complement(composition(complement(one),complement(composition(top,complement(one)))))) != complement(complement(one))
| meet(one,complement(composition(complement(one),complement(composition(top,complement(one)))))) = one ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,complement(composition(complement(one),complement(composition(top,complement(one)))))),complement(complement(one))) ),[1],$fot(one)]]) ).
cnf(refute_0_1728,plain,
( meet(one,complement(composition(complement(one),complement(composition(top,complement(one)))))) != complement(complement(one))
| meet(one,complement(composition(complement(one),complement(composition(top,complement(one)))))) = one ),
inference(resolve,[$cnf( $equal(complement(complement(one)),one) )],[refute_0_1263,refute_0_1727]) ).
cnf(refute_0_1729,plain,
meet(one,complement(composition(complement(one),complement(composition(top,complement(one)))))) = one,
inference(resolve,[$cnf( $equal(meet(one,complement(composition(complement(one),complement(composition(top,complement(one)))))),complement(complement(one))) )],[refute_0_1726,refute_0_1728]) ).
cnf(refute_0_1730,plain,
( join(converse(complement(composition(complement(one),complement(composition(top,complement(one)))))),complement(converse(meet(one,complement(composition(complement(one),complement(composition(top,complement(one))))))))) != top
| meet(one,complement(composition(complement(one),complement(composition(top,complement(one)))))) != one
| join(converse(complement(composition(complement(one),complement(composition(top,complement(one)))))),complement(converse(one))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(complement(composition(complement(one),complement(composition(top,complement(one)))))),complement(converse(meet(one,complement(composition(complement(one),complement(composition(top,complement(one))))))))),top) ),[0,1,0,0],$fot(one)]]) ).
cnf(refute_0_1731,plain,
( join(converse(complement(composition(complement(one),complement(composition(top,complement(one)))))),complement(converse(meet(one,complement(composition(complement(one),complement(composition(top,complement(one))))))))) != top
| join(converse(complement(composition(complement(one),complement(composition(top,complement(one)))))),complement(converse(one))) = top ),
inference(resolve,[$cnf( $equal(meet(one,complement(composition(complement(one),complement(composition(top,complement(one)))))),one) )],[refute_0_1729,refute_0_1730]) ).
cnf(refute_0_1732,plain,
join(converse(complement(composition(complement(one),complement(composition(top,complement(one)))))),complement(converse(one))) = top,
inference(resolve,[$cnf( $equal(join(converse(complement(composition(complement(one),complement(composition(top,complement(one)))))),complement(converse(meet(one,complement(composition(complement(one),complement(composition(top,complement(one))))))))),top) )],[refute_0_1196,refute_0_1731]) ).
cnf(refute_0_1733,plain,
join(complement(one),complement(composition(complement(one),complement(composition(top,complement(one)))))) = complement(meet(one,composition(complement(one),complement(composition(top,complement(one)))))),
inference(subst,[],[refute_0_756:[bind(X0,$fot(one)),bind(X1,$fot(composition(complement(one),complement(composition(top,complement(one))))))]]) ).
cnf(refute_0_1734,plain,
converse(join(complement(one),complement(composition(complement(one),complement(composition(top,complement(one))))))) = converse(join(complement(one),complement(composition(complement(one),complement(composition(top,complement(one))))))),
introduced(tautology,[refl,[$fot(converse(join(complement(one),complement(composition(complement(one),complement(composition(top,complement(one))))))))]]) ).
cnf(refute_0_1735,plain,
( converse(join(complement(one),complement(composition(complement(one),complement(composition(top,complement(one))))))) != converse(join(complement(one),complement(composition(complement(one),complement(composition(top,complement(one)))))))
| join(complement(one),complement(composition(complement(one),complement(composition(top,complement(one)))))) != complement(meet(one,composition(complement(one),complement(composition(top,complement(one))))))
| converse(join(complement(one),complement(composition(complement(one),complement(composition(top,complement(one))))))) = converse(complement(meet(one,composition(complement(one),complement(composition(top,complement(one))))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(complement(one),complement(composition(complement(one),complement(composition(top,complement(one))))))),converse(join(complement(one),complement(composition(complement(one),complement(composition(top,complement(one)))))))) ),[1,0],$fot(complement(meet(one,composition(complement(one),complement(composition(top,complement(one)))))))]]) ).
cnf(refute_0_1736,plain,
( join(complement(one),complement(composition(complement(one),complement(composition(top,complement(one)))))) != complement(meet(one,composition(complement(one),complement(composition(top,complement(one))))))
| converse(join(complement(one),complement(composition(complement(one),complement(composition(top,complement(one))))))) = converse(complement(meet(one,composition(complement(one),complement(composition(top,complement(one))))))) ),
inference(resolve,[$cnf( $equal(converse(join(complement(one),complement(composition(complement(one),complement(composition(top,complement(one))))))),converse(join(complement(one),complement(composition(complement(one),complement(composition(top,complement(one)))))))) )],[refute_0_1734,refute_0_1735]) ).
cnf(refute_0_1737,plain,
converse(join(complement(one),complement(composition(complement(one),complement(composition(top,complement(one))))))) = converse(complement(meet(one,composition(complement(one),complement(composition(top,complement(one))))))),
inference(resolve,[$cnf( $equal(join(complement(one),complement(composition(complement(one),complement(composition(top,complement(one)))))),complement(meet(one,composition(complement(one),complement(composition(top,complement(one))))))) )],[refute_0_1733,refute_0_1736]) ).
cnf(refute_0_1738,plain,
converse(join(converse(complement(one)),X_5)) = join(complement(one),converse(X_5)),
inference(subst,[],[refute_0_218:[bind(X0,$fot(complement(one)))]]) ).
cnf(refute_0_1739,plain,
( converse(complement(one)) != complement(one)
| converse(join(converse(complement(one)),X_5)) != join(complement(one),converse(X_5))
| converse(join(complement(one),X_5)) = join(complement(one),converse(X_5)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(complement(one)),X_5)),join(complement(one),converse(X_5))) ),[0,0,0],$fot(complement(one))]]) ).
cnf(refute_0_1740,plain,
( converse(join(converse(complement(one)),X_5)) != join(complement(one),converse(X_5))
| converse(join(complement(one),X_5)) = join(complement(one),converse(X_5)) ),
inference(resolve,[$cnf( $equal(converse(complement(one)),complement(one)) )],[refute_0_1448,refute_0_1739]) ).
cnf(refute_0_1741,plain,
converse(join(complement(one),X_5)) = join(complement(one),converse(X_5)),
inference(resolve,[$cnf( $equal(converse(join(converse(complement(one)),X_5)),join(complement(one),converse(X_5))) )],[refute_0_1738,refute_0_1740]) ).
cnf(refute_0_1742,plain,
( converse(join(complement(one),X_5)) != join(complement(one),converse(X_5))
| join(complement(one),converse(X_5)) = converse(join(complement(one),X_5)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(converse(join(complement(one),X_5)))),bind(Y,$fot(join(complement(one),converse(X_5))))]]) ).
cnf(refute_0_1743,plain,
join(complement(one),converse(X_5)) = converse(join(complement(one),X_5)),
inference(resolve,[$cnf( $equal(converse(join(complement(one),X_5)),join(complement(one),converse(X_5))) )],[refute_0_1741,refute_0_1742]) ).
cnf(refute_0_1744,plain,
join(complement(one),converse(complement(composition(complement(one),complement(composition(top,complement(one))))))) = converse(join(complement(one),complement(composition(complement(one),complement(composition(top,complement(one))))))),
inference(subst,[],[refute_0_1743:[bind(X_5,$fot(complement(composition(complement(one),complement(composition(top,complement(one)))))))]]) ).
cnf(refute_0_1745,plain,
( converse(join(complement(one),complement(composition(complement(one),complement(composition(top,complement(one))))))) != converse(complement(meet(one,composition(complement(one),complement(composition(top,complement(one)))))))
| join(complement(one),converse(complement(composition(complement(one),complement(composition(top,complement(one))))))) != converse(join(complement(one),complement(composition(complement(one),complement(composition(top,complement(one)))))))
| join(complement(one),converse(complement(composition(complement(one),complement(composition(top,complement(one))))))) = converse(complement(meet(one,composition(complement(one),complement(composition(top,complement(one))))))) ),
inference(subst,[],[refute_0_71:[bind(X,$fot(join(complement(one),converse(complement(composition(complement(one),complement(composition(top,complement(one))))))))),bind(Y,$fot(converse(join(complement(one),complement(composition(complement(one),complement(composition(top,complement(one))))))))),bind(Z,$fot(converse(complement(meet(one,composition(complement(one),complement(composition(top,complement(one)))))))))]]) ).
cnf(refute_0_1746,plain,
( converse(join(complement(one),complement(composition(complement(one),complement(composition(top,complement(one))))))) != converse(complement(meet(one,composition(complement(one),complement(composition(top,complement(one)))))))
| join(complement(one),converse(complement(composition(complement(one),complement(composition(top,complement(one))))))) = converse(complement(meet(one,composition(complement(one),complement(composition(top,complement(one))))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),converse(complement(composition(complement(one),complement(composition(top,complement(one))))))),converse(join(complement(one),complement(composition(complement(one),complement(composition(top,complement(one)))))))) )],[refute_0_1744,refute_0_1745]) ).
cnf(refute_0_1747,plain,
join(complement(one),converse(complement(composition(complement(one),complement(composition(top,complement(one))))))) = converse(complement(meet(one,composition(complement(one),complement(composition(top,complement(one))))))),
inference(resolve,[$cnf( $equal(converse(join(complement(one),complement(composition(complement(one),complement(composition(top,complement(one))))))),converse(complement(meet(one,composition(complement(one),complement(composition(top,complement(one)))))))) )],[refute_0_1737,refute_0_1746]) ).
cnf(refute_0_1748,plain,
complement(converse(one)) = complement(converse(one)),
introduced(tautology,[refl,[$fot(complement(converse(one)))]]) ).
cnf(refute_0_1749,plain,
( complement(converse(one)) != complement(converse(one))
| converse(one) != one
| complement(converse(one)) = complement(one) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(one)),complement(converse(one))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_1750,plain,
( converse(one) != one
| complement(converse(one)) = complement(one) ),
inference(resolve,[$cnf( $equal(complement(converse(one)),complement(converse(one))) )],[refute_0_1748,refute_0_1749]) ).
cnf(refute_0_1751,plain,
complement(converse(one)) = complement(one),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_160,refute_0_1750]) ).
cnf(refute_0_1752,plain,
join(complement(converse(one)),converse(complement(composition(complement(one),complement(composition(top,complement(one))))))) = join(complement(converse(one)),converse(complement(composition(complement(one),complement(composition(top,complement(one))))))),
introduced(tautology,[refl,[$fot(join(complement(converse(one)),converse(complement(composition(complement(one),complement(composition(top,complement(one))))))))]]) ).
cnf(refute_0_1753,plain,
( complement(converse(one)) != complement(one)
| join(complement(converse(one)),converse(complement(composition(complement(one),complement(composition(top,complement(one))))))) != join(complement(converse(one)),converse(complement(composition(complement(one),complement(composition(top,complement(one)))))))
| join(complement(converse(one)),converse(complement(composition(complement(one),complement(composition(top,complement(one))))))) = join(complement(one),converse(complement(composition(complement(one),complement(composition(top,complement(one))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(converse(one)),converse(complement(composition(complement(one),complement(composition(top,complement(one))))))),join(complement(converse(one)),converse(complement(composition(complement(one),complement(composition(top,complement(one)))))))) ),[1,0],$fot(complement(one))]]) ).
cnf(refute_0_1754,plain,
( complement(converse(one)) != complement(one)
| join(complement(converse(one)),converse(complement(composition(complement(one),complement(composition(top,complement(one))))))) = join(complement(one),converse(complement(composition(complement(one),complement(composition(top,complement(one))))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(one)),converse(complement(composition(complement(one),complement(composition(top,complement(one))))))),join(complement(converse(one)),converse(complement(composition(complement(one),complement(composition(top,complement(one)))))))) )],[refute_0_1752,refute_0_1753]) ).
cnf(refute_0_1755,plain,
join(complement(converse(one)),converse(complement(composition(complement(one),complement(composition(top,complement(one))))))) = join(complement(one),converse(complement(composition(complement(one),complement(composition(top,complement(one))))))),
inference(resolve,[$cnf( $equal(complement(converse(one)),complement(one)) )],[refute_0_1751,refute_0_1754]) ).
cnf(refute_0_1756,plain,
( join(complement(converse(one)),converse(complement(composition(complement(one),complement(composition(top,complement(one))))))) != join(complement(one),converse(complement(composition(complement(one),complement(composition(top,complement(one)))))))
| join(complement(one),converse(complement(composition(complement(one),complement(composition(top,complement(one))))))) != converse(complement(meet(one,composition(complement(one),complement(composition(top,complement(one)))))))
| join(complement(converse(one)),converse(complement(composition(complement(one),complement(composition(top,complement(one))))))) = converse(complement(meet(one,composition(complement(one),complement(composition(top,complement(one))))))) ),
inference(subst,[],[refute_0_71:[bind(X,$fot(join(complement(converse(one)),converse(complement(composition(complement(one),complement(composition(top,complement(one))))))))),bind(Y,$fot(join(complement(one),converse(complement(composition(complement(one),complement(composition(top,complement(one))))))))),bind(Z,$fot(converse(complement(meet(one,composition(complement(one),complement(composition(top,complement(one)))))))))]]) ).
cnf(refute_0_1757,plain,
( join(complement(one),converse(complement(composition(complement(one),complement(composition(top,complement(one))))))) != converse(complement(meet(one,composition(complement(one),complement(composition(top,complement(one)))))))
| join(complement(converse(one)),converse(complement(composition(complement(one),complement(composition(top,complement(one))))))) = converse(complement(meet(one,composition(complement(one),complement(composition(top,complement(one))))))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(one)),converse(complement(composition(complement(one),complement(composition(top,complement(one))))))),join(complement(one),converse(complement(composition(complement(one),complement(composition(top,complement(one)))))))) )],[refute_0_1755,refute_0_1756]) ).
cnf(refute_0_1758,plain,
join(complement(converse(one)),converse(complement(composition(complement(one),complement(composition(top,complement(one))))))) = converse(complement(meet(one,composition(complement(one),complement(composition(top,complement(one))))))),
inference(resolve,[$cnf( $equal(join(complement(one),converse(complement(composition(complement(one),complement(composition(top,complement(one))))))),converse(complement(meet(one,composition(complement(one),complement(composition(top,complement(one)))))))) )],[refute_0_1747,refute_0_1757]) ).
cnf(refute_0_1759,plain,
join(complement(X_180),join(X_45,meet(complement(X_180),complement(converse(complement(converse(X_180))))))) = join(X_45,join(complement(X_180),meet(complement(X_180),complement(converse(complement(converse(X_180))))))),
inference(subst,[],[refute_0_546:[bind(X_44,$fot(complement(X_180))),bind(X_46,$fot(meet(complement(X_180),complement(converse(complement(converse(X_180)))))))]]) ).
cnf(refute_0_1760,plain,
X_87 = join(meet(X_87,converse(complement(converse(complement(X_87))))),meet(X_87,complement(converse(complement(converse(complement(X_87))))))),
inference(subst,[],[refute_0_833:[bind(X1,$fot(converse(complement(converse(complement(X_87)))))),bind(X_73,$fot(X_87))]]) ).
cnf(refute_0_1761,plain,
X_87 = meet(X_87,converse(complement(converse(complement(X_87))))),
inference(subst,[],[refute_0_651:[bind(X_73,$fot(X_87))]]) ).
cnf(refute_0_1762,plain,
( X_87 != meet(X_87,converse(complement(converse(complement(X_87)))))
| meet(X_87,converse(complement(converse(complement(X_87))))) = X_87 ),
inference(subst,[],[refute_0_4:[bind(X,$fot(X_87)),bind(Y,$fot(meet(X_87,converse(complement(converse(complement(X_87)))))))]]) ).
cnf(refute_0_1763,plain,
meet(X_87,converse(complement(converse(complement(X_87))))) = X_87,
inference(resolve,[$cnf( $equal(X_87,meet(X_87,converse(complement(converse(complement(X_87)))))) )],[refute_0_1761,refute_0_1762]) ).
cnf(refute_0_1764,plain,
( X_87 != join(meet(X_87,converse(complement(converse(complement(X_87))))),meet(X_87,complement(converse(complement(converse(complement(X_87)))))))
| meet(X_87,converse(complement(converse(complement(X_87))))) != X_87
| X_87 = join(X_87,meet(X_87,complement(converse(complement(converse(complement(X_87))))))) ),
introduced(tautology,[equality,[$cnf( $equal(X_87,join(meet(X_87,converse(complement(converse(complement(X_87))))),meet(X_87,complement(converse(complement(converse(complement(X_87)))))))) ),[1,0],$fot(X_87)]]) ).
cnf(refute_0_1765,plain,
( X_87 != join(meet(X_87,converse(complement(converse(complement(X_87))))),meet(X_87,complement(converse(complement(converse(complement(X_87)))))))
| X_87 = join(X_87,meet(X_87,complement(converse(complement(converse(complement(X_87))))))) ),
inference(resolve,[$cnf( $equal(meet(X_87,converse(complement(converse(complement(X_87))))),X_87) )],[refute_0_1763,refute_0_1764]) ).
cnf(refute_0_1766,plain,
X_87 = join(X_87,meet(X_87,complement(converse(complement(converse(complement(X_87))))))),
inference(resolve,[$cnf( $equal(X_87,join(meet(X_87,converse(complement(converse(complement(X_87))))),meet(X_87,complement(converse(complement(converse(complement(X_87)))))))) )],[refute_0_1760,refute_0_1765]) ).
cnf(refute_0_1767,plain,
complement(X1) = join(complement(X1),meet(complement(X1),complement(converse(complement(converse(complement(complement(X1)))))))),
inference(subst,[],[refute_0_1766:[bind(X_87,$fot(complement(X1)))]]) ).
cnf(refute_0_1768,plain,
( complement(X1) != join(complement(X1),meet(complement(X1),complement(converse(complement(converse(complement(complement(X1))))))))
| complement(complement(X1)) != X1
| complement(X1) = join(complement(X1),meet(complement(X1),complement(converse(complement(converse(X1)))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(X1),join(complement(X1),meet(complement(X1),complement(converse(complement(converse(complement(complement(X1))))))))) ),[1,1,1,0,0,0,0],$fot(X1)]]) ).
cnf(refute_0_1769,plain,
( complement(X1) != join(complement(X1),meet(complement(X1),complement(converse(complement(converse(complement(complement(X1))))))))
| complement(X1) = join(complement(X1),meet(complement(X1),complement(converse(complement(converse(X1)))))) ),
inference(resolve,[$cnf( $equal(complement(complement(X1)),X1) )],[refute_0_781,refute_0_1768]) ).
cnf(refute_0_1770,plain,
complement(X1) = join(complement(X1),meet(complement(X1),complement(converse(complement(converse(X1)))))),
inference(resolve,[$cnf( $equal(complement(X1),join(complement(X1),meet(complement(X1),complement(converse(complement(converse(complement(complement(X1))))))))) )],[refute_0_1767,refute_0_1769]) ).
cnf(refute_0_1771,plain,
complement(X_180) = join(complement(X_180),meet(complement(X_180),complement(converse(complement(converse(X_180)))))),
inference(subst,[],[refute_0_1770:[bind(X1,$fot(X_180))]]) ).
cnf(refute_0_1772,plain,
( complement(X_180) != join(complement(X_180),meet(complement(X_180),complement(converse(complement(converse(X_180))))))
| join(complement(X_180),meet(complement(X_180),complement(converse(complement(converse(X_180)))))) = complement(X_180) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(complement(X_180))),bind(Y,$fot(join(complement(X_180),meet(complement(X_180),complement(converse(complement(converse(X_180))))))))]]) ).
cnf(refute_0_1773,plain,
join(complement(X_180),meet(complement(X_180),complement(converse(complement(converse(X_180)))))) = complement(X_180),
inference(resolve,[$cnf( $equal(complement(X_180),join(complement(X_180),meet(complement(X_180),complement(converse(complement(converse(X_180))))))) )],[refute_0_1771,refute_0_1772]) ).
cnf(refute_0_1774,plain,
( join(complement(X_180),join(X_45,meet(complement(X_180),complement(converse(complement(converse(X_180))))))) != join(X_45,join(complement(X_180),meet(complement(X_180),complement(converse(complement(converse(X_180)))))))
| join(complement(X_180),meet(complement(X_180),complement(converse(complement(converse(X_180)))))) != complement(X_180)
| join(complement(X_180),join(X_45,meet(complement(X_180),complement(converse(complement(converse(X_180))))))) = join(X_45,complement(X_180)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_180),join(X_45,meet(complement(X_180),complement(converse(complement(converse(X_180))))))),join(X_45,join(complement(X_180),meet(complement(X_180),complement(converse(complement(converse(X_180)))))))) ),[1,1],$fot(complement(X_180))]]) ).
cnf(refute_0_1775,plain,
( join(complement(X_180),join(X_45,meet(complement(X_180),complement(converse(complement(converse(X_180))))))) != join(X_45,join(complement(X_180),meet(complement(X_180),complement(converse(complement(converse(X_180)))))))
| join(complement(X_180),join(X_45,meet(complement(X_180),complement(converse(complement(converse(X_180))))))) = join(X_45,complement(X_180)) ),
inference(resolve,[$cnf( $equal(join(complement(X_180),meet(complement(X_180),complement(converse(complement(converse(X_180)))))),complement(X_180)) )],[refute_0_1773,refute_0_1774]) ).
cnf(refute_0_1776,plain,
join(complement(X_180),join(X_45,meet(complement(X_180),complement(converse(complement(converse(X_180))))))) = join(X_45,complement(X_180)),
inference(resolve,[$cnf( $equal(join(complement(X_180),join(X_45,meet(complement(X_180),complement(converse(complement(converse(X_180))))))),join(X_45,join(complement(X_180),meet(complement(X_180),complement(converse(complement(converse(X_180)))))))) )],[refute_0_1759,refute_0_1775]) ).
cnf(refute_0_1777,plain,
meet(X_180,complement(X_180)) = zero,
inference(subst,[],[refute_0_819:[bind(X0,$fot(X_180))]]) ).
cnf(refute_0_1778,plain,
meet(complement(X_180),X_180) = meet(X_180,complement(X_180)),
inference(subst,[],[refute_0_901:[bind(X_13,$fot(X_180)),bind(X_14,$fot(complement(X_180)))]]) ).
cnf(refute_0_1779,plain,
( meet(X_180,complement(X_180)) != zero
| meet(complement(X_180),X_180) != meet(X_180,complement(X_180))
| meet(complement(X_180),X_180) = zero ),
inference(subst,[],[refute_0_71:[bind(X,$fot(meet(complement(X_180),X_180))),bind(Y,$fot(meet(X_180,complement(X_180)))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_1780,plain,
( meet(X_180,complement(X_180)) != zero
| meet(complement(X_180),X_180) = zero ),
inference(resolve,[$cnf( $equal(meet(complement(X_180),X_180),meet(X_180,complement(X_180))) )],[refute_0_1778,refute_0_1779]) ).
cnf(refute_0_1781,plain,
meet(complement(X_180),X_180) = zero,
inference(resolve,[$cnf( $equal(meet(X_180,complement(X_180)),zero) )],[refute_0_1777,refute_0_1780]) ).
cnf(refute_0_1782,plain,
complement(complement(X_180)) = X_180,
inference(subst,[],[refute_0_781:[bind(X1,$fot(X_180))]]) ).
cnf(refute_0_1783,plain,
converse(complement(converse(X_85))) = join(meet(complement(X_85),converse(complement(converse(X_85)))),meet(converse(complement(converse(X_85))),complement(complement(X_85)))),
inference(subst,[],[refute_0_438:[bind(X_73,$fot(converse(complement(converse(X_85))))),bind(X_74,$fot(complement(X_85)))]]) ).
cnf(refute_0_1784,plain,
( converse(complement(converse(X_85))) != join(meet(complement(X_85),converse(complement(converse(X_85)))),meet(converse(complement(converse(X_85))),complement(complement(X_85))))
| meet(complement(X_85),converse(complement(converse(X_85)))) != complement(X_85)
| converse(complement(converse(X_85))) = join(complement(X_85),meet(converse(complement(converse(X_85))),complement(complement(X_85)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(X_85))),join(meet(complement(X_85),converse(complement(converse(X_85)))),meet(converse(complement(converse(X_85))),complement(complement(X_85))))) ),[1,0],$fot(complement(X_85))]]) ).
cnf(refute_0_1785,plain,
( converse(complement(converse(X_85))) != join(meet(complement(X_85),converse(complement(converse(X_85)))),meet(converse(complement(converse(X_85))),complement(complement(X_85))))
| converse(complement(converse(X_85))) = join(complement(X_85),meet(converse(complement(converse(X_85))),complement(complement(X_85)))) ),
inference(resolve,[$cnf( $equal(meet(complement(X_85),converse(complement(converse(X_85)))),complement(X_85)) )],[refute_0_660,refute_0_1784]) ).
cnf(refute_0_1786,plain,
converse(complement(converse(X_85))) = join(complement(X_85),meet(converse(complement(converse(X_85))),complement(complement(X_85)))),
inference(resolve,[$cnf( $equal(converse(complement(converse(X_85))),join(meet(complement(X_85),converse(complement(converse(X_85)))),meet(converse(complement(converse(X_85))),complement(complement(X_85))))) )],[refute_0_1783,refute_0_1785]) ).
cnf(refute_0_1787,plain,
meet(complement(complement(X_85)),converse(complement(converse(X_85)))) = meet(complement(complement(X_85)),converse(complement(converse(X_85)))),
introduced(tautology,[refl,[$fot(meet(complement(complement(X_85)),converse(complement(converse(X_85)))))]]) ).
cnf(refute_0_1788,plain,
( complement(complement(X_85)) != X_85
| meet(complement(complement(X_85)),converse(complement(converse(X_85)))) != meet(complement(complement(X_85)),converse(complement(converse(X_85))))
| meet(complement(complement(X_85)),converse(complement(converse(X_85)))) = meet(X_85,converse(complement(converse(X_85)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(complement(X_85)),converse(complement(converse(X_85)))),meet(complement(complement(X_85)),converse(complement(converse(X_85))))) ),[1,0],$fot(X_85)]]) ).
cnf(refute_0_1789,plain,
( complement(complement(X_85)) != X_85
| meet(complement(complement(X_85)),converse(complement(converse(X_85)))) = meet(X_85,converse(complement(converse(X_85)))) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(X_85)),converse(complement(converse(X_85)))),meet(complement(complement(X_85)),converse(complement(converse(X_85))))) )],[refute_0_1787,refute_0_1788]) ).
cnf(refute_0_1790,plain,
meet(complement(complement(X_85)),converse(complement(converse(X_85)))) = meet(X_85,converse(complement(converse(X_85)))),
inference(resolve,[$cnf( $equal(complement(complement(X_85)),X_85) )],[refute_0_655,refute_0_1789]) ).
cnf(refute_0_1791,plain,
meet(converse(complement(converse(X_85))),complement(complement(X_85))) = meet(complement(complement(X_85)),converse(complement(converse(X_85)))),
inference(subst,[],[refute_0_901:[bind(X_13,$fot(complement(complement(X_85)))),bind(X_14,$fot(converse(complement(converse(X_85)))))]]) ).
cnf(refute_0_1792,plain,
( meet(complement(complement(X_85)),converse(complement(converse(X_85)))) != meet(X_85,converse(complement(converse(X_85))))
| meet(converse(complement(converse(X_85))),complement(complement(X_85))) != meet(complement(complement(X_85)),converse(complement(converse(X_85))))
| meet(converse(complement(converse(X_85))),complement(complement(X_85))) = meet(X_85,converse(complement(converse(X_85)))) ),
inference(subst,[],[refute_0_71:[bind(X,$fot(meet(converse(complement(converse(X_85))),complement(complement(X_85))))),bind(Y,$fot(meet(complement(complement(X_85)),converse(complement(converse(X_85)))))),bind(Z,$fot(meet(X_85,converse(complement(converse(X_85))))))]]) ).
cnf(refute_0_1793,plain,
( meet(complement(complement(X_85)),converse(complement(converse(X_85)))) != meet(X_85,converse(complement(converse(X_85))))
| meet(converse(complement(converse(X_85))),complement(complement(X_85))) = meet(X_85,converse(complement(converse(X_85)))) ),
inference(resolve,[$cnf( $equal(meet(converse(complement(converse(X_85))),complement(complement(X_85))),meet(complement(complement(X_85)),converse(complement(converse(X_85))))) )],[refute_0_1791,refute_0_1792]) ).
cnf(refute_0_1794,plain,
meet(converse(complement(converse(X_85))),complement(complement(X_85))) = meet(X_85,converse(complement(converse(X_85)))),
inference(resolve,[$cnf( $equal(meet(complement(complement(X_85)),converse(complement(converse(X_85)))),meet(X_85,converse(complement(converse(X_85))))) )],[refute_0_1790,refute_0_1793]) ).
cnf(refute_0_1795,plain,
join(complement(X_85),meet(converse(complement(converse(X_85))),complement(complement(X_85)))) = join(complement(X_85),meet(converse(complement(converse(X_85))),complement(complement(X_85)))),
introduced(tautology,[refl,[$fot(join(complement(X_85),meet(converse(complement(converse(X_85))),complement(complement(X_85)))))]]) ).
cnf(refute_0_1796,plain,
( join(complement(X_85),meet(converse(complement(converse(X_85))),complement(complement(X_85)))) != join(complement(X_85),meet(converse(complement(converse(X_85))),complement(complement(X_85))))
| meet(converse(complement(converse(X_85))),complement(complement(X_85))) != meet(X_85,converse(complement(converse(X_85))))
| join(complement(X_85),meet(converse(complement(converse(X_85))),complement(complement(X_85)))) = join(complement(X_85),meet(X_85,converse(complement(converse(X_85))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_85),meet(converse(complement(converse(X_85))),complement(complement(X_85)))),join(complement(X_85),meet(converse(complement(converse(X_85))),complement(complement(X_85))))) ),[1,1],$fot(meet(X_85,converse(complement(converse(X_85)))))]]) ).
cnf(refute_0_1797,plain,
( meet(converse(complement(converse(X_85))),complement(complement(X_85))) != meet(X_85,converse(complement(converse(X_85))))
| join(complement(X_85),meet(converse(complement(converse(X_85))),complement(complement(X_85)))) = join(complement(X_85),meet(X_85,converse(complement(converse(X_85))))) ),
inference(resolve,[$cnf( $equal(join(complement(X_85),meet(converse(complement(converse(X_85))),complement(complement(X_85)))),join(complement(X_85),meet(converse(complement(converse(X_85))),complement(complement(X_85))))) )],[refute_0_1795,refute_0_1796]) ).
cnf(refute_0_1798,plain,
join(complement(X_85),meet(converse(complement(converse(X_85))),complement(complement(X_85)))) = join(complement(X_85),meet(X_85,converse(complement(converse(X_85))))),
inference(resolve,[$cnf( $equal(meet(converse(complement(converse(X_85))),complement(complement(X_85))),meet(X_85,converse(complement(converse(X_85))))) )],[refute_0_1794,refute_0_1797]) ).
cnf(refute_0_1799,plain,
( converse(complement(converse(X_85))) != join(complement(X_85),meet(converse(complement(converse(X_85))),complement(complement(X_85))))
| join(complement(X_85),meet(converse(complement(converse(X_85))),complement(complement(X_85)))) != join(complement(X_85),meet(X_85,converse(complement(converse(X_85)))))
| converse(complement(converse(X_85))) = join(complement(X_85),meet(X_85,converse(complement(converse(X_85))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(complement(converse(X_85))),join(complement(X_85),meet(X_85,converse(complement(converse(X_85)))))) ),[0],$fot(join(complement(X_85),meet(converse(complement(converse(X_85))),complement(complement(X_85)))))]]) ).
cnf(refute_0_1800,plain,
( converse(complement(converse(X_85))) != join(complement(X_85),meet(converse(complement(converse(X_85))),complement(complement(X_85))))
| converse(complement(converse(X_85))) = join(complement(X_85),meet(X_85,converse(complement(converse(X_85))))) ),
inference(resolve,[$cnf( $equal(join(complement(X_85),meet(converse(complement(converse(X_85))),complement(complement(X_85)))),join(complement(X_85),meet(X_85,converse(complement(converse(X_85)))))) )],[refute_0_1798,refute_0_1799]) ).
cnf(refute_0_1801,plain,
converse(complement(converse(X_85))) = join(complement(X_85),meet(X_85,converse(complement(converse(X_85))))),
inference(resolve,[$cnf( $equal(converse(complement(converse(X_85))),join(complement(X_85),meet(converse(complement(converse(X_85))),complement(complement(X_85))))) )],[refute_0_1786,refute_0_1800]) ).
cnf(refute_0_1802,plain,
join(zero,complement(X_85)) = complement(X_85),
inference(subst,[],[refute_0_396:[bind(X_75,$fot(complement(X_85)))]]) ).
cnf(refute_0_1803,plain,
join(complement(X_85),zero) = join(zero,complement(X_85)),
inference(subst,[],[refute_0_1051:[bind(X_128,$fot(zero)),bind(X_129,$fot(complement(X_85)))]]) ).
cnf(refute_0_1804,plain,
( join(complement(X_85),zero) != join(zero,complement(X_85))
| join(zero,complement(X_85)) != complement(X_85)
| join(complement(X_85),zero) = complement(X_85) ),
inference(subst,[],[refute_0_71:[bind(X,$fot(join(complement(X_85),zero))),bind(Y,$fot(join(zero,complement(X_85)))),bind(Z,$fot(complement(X_85)))]]) ).
cnf(refute_0_1805,plain,
( join(zero,complement(X_85)) != complement(X_85)
| join(complement(X_85),zero) = complement(X_85) ),
inference(resolve,[$cnf( $equal(join(complement(X_85),zero),join(zero,complement(X_85))) )],[refute_0_1803,refute_0_1804]) ).
cnf(refute_0_1806,plain,
join(complement(X_85),zero) = complement(X_85),
inference(resolve,[$cnf( $equal(join(zero,complement(X_85)),complement(X_85)) )],[refute_0_1802,refute_0_1805]) ).
cnf(refute_0_1807,plain,
meet(X_208,converse(complement(converse(X_208)))) = complement(complement(meet(X_208,converse(complement(converse(X_208)))))),
inference(subst,[],[refute_0_458:[bind(X1,$fot(meet(X_208,converse(complement(converse(X_208))))))]]) ).
cnf(refute_0_1808,plain,
complement(meet(converse(converse(X0)),converse(complement(converse(X0))))) = top,
inference(subst,[],[refute_0_1070:[bind(X_85,$fot(converse(X0)))]]) ).
cnf(refute_0_1809,plain,
( complement(meet(converse(converse(X0)),converse(complement(converse(X0))))) != top
| converse(converse(X0)) != X0
| complement(meet(X0,converse(complement(converse(X0))))) = top ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(converse(converse(X0)),converse(complement(converse(X0))))),top) ),[0,0,0],$fot(X0)]]) ).
cnf(refute_0_1810,plain,
( complement(meet(converse(converse(X0)),converse(complement(converse(X0))))) != top
| complement(meet(X0,converse(complement(converse(X0))))) = top ),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_0_35,refute_0_1809]) ).
cnf(refute_0_1811,plain,
complement(meet(X0,converse(complement(converse(X0))))) = top,
inference(resolve,[$cnf( $equal(complement(meet(converse(converse(X0)),converse(complement(converse(X0))))),top) )],[refute_0_1808,refute_0_1810]) ).
cnf(refute_0_1812,plain,
complement(meet(X_208,converse(complement(converse(X_208))))) = top,
inference(subst,[],[refute_0_1811:[bind(X0,$fot(X_208))]]) ).
cnf(refute_0_1813,plain,
( complement(meet(X_208,converse(complement(converse(X_208))))) != top
| meet(X_208,converse(complement(converse(X_208)))) != complement(complement(meet(X_208,converse(complement(converse(X_208))))))
| meet(X_208,converse(complement(converse(X_208)))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_208,converse(complement(converse(X_208)))),complement(complement(meet(X_208,converse(complement(converse(X_208))))))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_1814,plain,
( meet(X_208,converse(complement(converse(X_208)))) != complement(complement(meet(X_208,converse(complement(converse(X_208))))))
| meet(X_208,converse(complement(converse(X_208)))) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(meet(X_208,converse(complement(converse(X_208))))),top) )],[refute_0_1812,refute_0_1813]) ).
cnf(refute_0_1815,plain,
meet(X_208,converse(complement(converse(X_208)))) = complement(top),
inference(resolve,[$cnf( $equal(meet(X_208,converse(complement(converse(X_208)))),complement(complement(meet(X_208,converse(complement(converse(X_208))))))) )],[refute_0_1807,refute_0_1814]) ).
cnf(refute_0_1816,plain,
( complement(top) != zero
| meet(X_208,converse(complement(converse(X_208)))) != complement(top)
| meet(X_208,converse(complement(converse(X_208)))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_208,converse(complement(converse(X_208)))),complement(top)) ),[1],$fot(zero)]]) ).
cnf(refute_0_1817,plain,
( meet(X_208,converse(complement(converse(X_208)))) != complement(top)
| meet(X_208,converse(complement(converse(X_208)))) = zero ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_125,refute_0_1816]) ).
cnf(refute_0_1818,plain,
meet(X_208,converse(complement(converse(X_208)))) = zero,
inference(resolve,[$cnf( $equal(meet(X_208,converse(complement(converse(X_208)))),complement(top)) )],[refute_0_1815,refute_0_1817]) ).
cnf(refute_0_1819,plain,
meet(X_85,converse(complement(converse(X_85)))) = zero,
inference(subst,[],[refute_0_1818:[bind(X_208,$fot(X_85))]]) ).
cnf(refute_0_1820,plain,
join(complement(X_85),meet(X_85,converse(complement(converse(X_85))))) = join(complement(X_85),meet(X_85,converse(complement(converse(X_85))))),
introduced(tautology,[refl,[$fot(join(complement(X_85),meet(X_85,converse(complement(converse(X_85))))))]]) ).
cnf(refute_0_1821,plain,
( join(complement(X_85),meet(X_85,converse(complement(converse(X_85))))) != join(complement(X_85),meet(X_85,converse(complement(converse(X_85)))))
| meet(X_85,converse(complement(converse(X_85)))) != zero
| join(complement(X_85),meet(X_85,converse(complement(converse(X_85))))) = join(complement(X_85),zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_85),meet(X_85,converse(complement(converse(X_85))))),join(complement(X_85),meet(X_85,converse(complement(converse(X_85)))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_1822,plain,
( meet(X_85,converse(complement(converse(X_85)))) != zero
| join(complement(X_85),meet(X_85,converse(complement(converse(X_85))))) = join(complement(X_85),zero) ),
inference(resolve,[$cnf( $equal(join(complement(X_85),meet(X_85,converse(complement(converse(X_85))))),join(complement(X_85),meet(X_85,converse(complement(converse(X_85)))))) )],[refute_0_1820,refute_0_1821]) ).
cnf(refute_0_1823,plain,
join(complement(X_85),meet(X_85,converse(complement(converse(X_85))))) = join(complement(X_85),zero),
inference(resolve,[$cnf( $equal(meet(X_85,converse(complement(converse(X_85)))),zero) )],[refute_0_1819,refute_0_1822]) ).
cnf(refute_0_1824,plain,
( join(complement(X_85),meet(X_85,converse(complement(converse(X_85))))) != join(complement(X_85),zero)
| join(complement(X_85),zero) != complement(X_85)
| join(complement(X_85),meet(X_85,converse(complement(converse(X_85))))) = complement(X_85) ),
inference(subst,[],[refute_0_71:[bind(X,$fot(join(complement(X_85),meet(X_85,converse(complement(converse(X_85))))))),bind(Y,$fot(join(complement(X_85),zero))),bind(Z,$fot(complement(X_85)))]]) ).
cnf(refute_0_1825,plain,
( join(complement(X_85),zero) != complement(X_85)
| join(complement(X_85),meet(X_85,converse(complement(converse(X_85))))) = complement(X_85) ),
inference(resolve,[$cnf( $equal(join(complement(X_85),meet(X_85,converse(complement(converse(X_85))))),join(complement(X_85),zero)) )],[refute_0_1823,refute_0_1824]) ).
cnf(refute_0_1826,plain,
join(complement(X_85),meet(X_85,converse(complement(converse(X_85))))) = complement(X_85),
inference(resolve,[$cnf( $equal(join(complement(X_85),zero),complement(X_85)) )],[refute_0_1806,refute_0_1825]) ).
cnf(refute_0_1827,plain,
( converse(complement(converse(X_85))) != join(complement(X_85),meet(X_85,converse(complement(converse(X_85)))))
| join(complement(X_85),meet(X_85,converse(complement(converse(X_85))))) != complement(X_85)
| converse(complement(converse(X_85))) = complement(X_85) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(complement(converse(X_85))),complement(X_85)) ),[0],$fot(join(complement(X_85),meet(X_85,converse(complement(converse(X_85))))))]]) ).
cnf(refute_0_1828,plain,
( converse(complement(converse(X_85))) != join(complement(X_85),meet(X_85,converse(complement(converse(X_85)))))
| converse(complement(converse(X_85))) = complement(X_85) ),
inference(resolve,[$cnf( $equal(join(complement(X_85),meet(X_85,converse(complement(converse(X_85))))),complement(X_85)) )],[refute_0_1826,refute_0_1827]) ).
cnf(refute_0_1829,plain,
converse(complement(converse(X_85))) = complement(X_85),
inference(resolve,[$cnf( $equal(converse(complement(converse(X_85))),join(complement(X_85),meet(X_85,converse(complement(converse(X_85)))))) )],[refute_0_1801,refute_0_1828]) ).
cnf(refute_0_1830,plain,
converse(complement(converse(X_180))) = complement(X_180),
inference(subst,[],[refute_0_1829:[bind(X_85,$fot(X_180))]]) ).
cnf(refute_0_1831,plain,
complement(converse(complement(converse(X_180)))) = complement(converse(complement(converse(X_180)))),
introduced(tautology,[refl,[$fot(complement(converse(complement(converse(X_180)))))]]) ).
cnf(refute_0_1832,plain,
( complement(converse(complement(converse(X_180)))) != complement(converse(complement(converse(X_180))))
| converse(complement(converse(X_180))) != complement(X_180)
| complement(converse(complement(converse(X_180)))) = complement(complement(X_180)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(complement(converse(X_180)))),complement(converse(complement(converse(X_180))))) ),[1,0],$fot(complement(X_180))]]) ).
cnf(refute_0_1833,plain,
( converse(complement(converse(X_180))) != complement(X_180)
| complement(converse(complement(converse(X_180)))) = complement(complement(X_180)) ),
inference(resolve,[$cnf( $equal(complement(converse(complement(converse(X_180)))),complement(converse(complement(converse(X_180))))) )],[refute_0_1831,refute_0_1832]) ).
cnf(refute_0_1834,plain,
complement(converse(complement(converse(X_180)))) = complement(complement(X_180)),
inference(resolve,[$cnf( $equal(converse(complement(converse(X_180))),complement(X_180)) )],[refute_0_1830,refute_0_1833]) ).
cnf(refute_0_1835,plain,
( complement(complement(X_180)) != X_180
| complement(converse(complement(converse(X_180)))) != complement(complement(X_180))
| complement(converse(complement(converse(X_180)))) = X_180 ),
inference(subst,[],[refute_0_71:[bind(X,$fot(complement(converse(complement(converse(X_180)))))),bind(Y,$fot(complement(complement(X_180)))),bind(Z,$fot(X_180))]]) ).
cnf(refute_0_1836,plain,
( complement(complement(X_180)) != X_180
| complement(converse(complement(converse(X_180)))) = X_180 ),
inference(resolve,[$cnf( $equal(complement(converse(complement(converse(X_180)))),complement(complement(X_180))) )],[refute_0_1834,refute_0_1835]) ).
cnf(refute_0_1837,plain,
complement(converse(complement(converse(X_180)))) = X_180,
inference(resolve,[$cnf( $equal(complement(complement(X_180)),X_180) )],[refute_0_1782,refute_0_1836]) ).
cnf(refute_0_1838,plain,
meet(complement(X_180),complement(converse(complement(converse(X_180))))) = meet(complement(X_180),complement(converse(complement(converse(X_180))))),
introduced(tautology,[refl,[$fot(meet(complement(X_180),complement(converse(complement(converse(X_180))))))]]) ).
cnf(refute_0_1839,plain,
( complement(converse(complement(converse(X_180)))) != X_180
| meet(complement(X_180),complement(converse(complement(converse(X_180))))) != meet(complement(X_180),complement(converse(complement(converse(X_180)))))
| meet(complement(X_180),complement(converse(complement(converse(X_180))))) = meet(complement(X_180),X_180) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(X_180),complement(converse(complement(converse(X_180))))),meet(complement(X_180),complement(converse(complement(converse(X_180)))))) ),[1,1],$fot(X_180)]]) ).
cnf(refute_0_1840,plain,
( complement(converse(complement(converse(X_180)))) != X_180
| meet(complement(X_180),complement(converse(complement(converse(X_180))))) = meet(complement(X_180),X_180) ),
inference(resolve,[$cnf( $equal(meet(complement(X_180),complement(converse(complement(converse(X_180))))),meet(complement(X_180),complement(converse(complement(converse(X_180)))))) )],[refute_0_1838,refute_0_1839]) ).
cnf(refute_0_1841,plain,
meet(complement(X_180),complement(converse(complement(converse(X_180))))) = meet(complement(X_180),X_180),
inference(resolve,[$cnf( $equal(complement(converse(complement(converse(X_180)))),X_180) )],[refute_0_1837,refute_0_1840]) ).
cnf(refute_0_1842,plain,
( meet(complement(X_180),X_180) != zero
| meet(complement(X_180),complement(converse(complement(converse(X_180))))) != meet(complement(X_180),X_180)
| meet(complement(X_180),complement(converse(complement(converse(X_180))))) = zero ),
inference(subst,[],[refute_0_71:[bind(X,$fot(meet(complement(X_180),complement(converse(complement(converse(X_180))))))),bind(Y,$fot(meet(complement(X_180),X_180))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_1843,plain,
( meet(complement(X_180),X_180) != zero
| meet(complement(X_180),complement(converse(complement(converse(X_180))))) = zero ),
inference(resolve,[$cnf( $equal(meet(complement(X_180),complement(converse(complement(converse(X_180))))),meet(complement(X_180),X_180)) )],[refute_0_1841,refute_0_1842]) ).
cnf(refute_0_1844,plain,
meet(complement(X_180),complement(converse(complement(converse(X_180))))) = zero,
inference(resolve,[$cnf( $equal(meet(complement(X_180),X_180),zero) )],[refute_0_1781,refute_0_1843]) ).
cnf(refute_0_1845,plain,
join(X_45,meet(complement(X_180),complement(converse(complement(converse(X_180)))))) = join(X_45,meet(complement(X_180),complement(converse(complement(converse(X_180)))))),
introduced(tautology,[refl,[$fot(join(X_45,meet(complement(X_180),complement(converse(complement(converse(X_180)))))))]]) ).
cnf(refute_0_1846,plain,
( join(X_45,meet(complement(X_180),complement(converse(complement(converse(X_180)))))) != join(X_45,meet(complement(X_180),complement(converse(complement(converse(X_180))))))
| meet(complement(X_180),complement(converse(complement(converse(X_180))))) != zero
| join(X_45,meet(complement(X_180),complement(converse(complement(converse(X_180)))))) = join(X_45,zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_45,meet(complement(X_180),complement(converse(complement(converse(X_180)))))),join(X_45,meet(complement(X_180),complement(converse(complement(converse(X_180))))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_1847,plain,
( meet(complement(X_180),complement(converse(complement(converse(X_180))))) != zero
| join(X_45,meet(complement(X_180),complement(converse(complement(converse(X_180)))))) = join(X_45,zero) ),
inference(resolve,[$cnf( $equal(join(X_45,meet(complement(X_180),complement(converse(complement(converse(X_180)))))),join(X_45,meet(complement(X_180),complement(converse(complement(converse(X_180))))))) )],[refute_0_1845,refute_0_1846]) ).
cnf(refute_0_1848,plain,
join(X_45,meet(complement(X_180),complement(converse(complement(converse(X_180)))))) = join(X_45,zero),
inference(resolve,[$cnf( $equal(meet(complement(X_180),complement(converse(complement(converse(X_180))))),zero) )],[refute_0_1844,refute_0_1847]) ).
cnf(refute_0_1849,plain,
( join(X_45,meet(complement(X_180),complement(converse(complement(converse(X_180)))))) != join(X_45,zero)
| join(X_45,zero) != X_45
| join(X_45,meet(complement(X_180),complement(converse(complement(converse(X_180)))))) = X_45 ),
inference(subst,[],[refute_0_71:[bind(X,$fot(join(X_45,meet(complement(X_180),complement(converse(complement(converse(X_180)))))))),bind(Y,$fot(join(X_45,zero))),bind(Z,$fot(X_45))]]) ).
cnf(refute_0_1850,plain,
( join(X_45,zero) != X_45
| join(X_45,meet(complement(X_180),complement(converse(complement(converse(X_180)))))) = X_45 ),
inference(resolve,[$cnf( $equal(join(X_45,meet(complement(X_180),complement(converse(complement(converse(X_180)))))),join(X_45,zero)) )],[refute_0_1848,refute_0_1849]) ).
cnf(refute_0_1851,plain,
join(X_45,meet(complement(X_180),complement(converse(complement(converse(X_180)))))) = X_45,
inference(resolve,[$cnf( $equal(join(X_45,zero),X_45) )],[refute_0_1360,refute_0_1850]) ).
cnf(refute_0_1852,plain,
join(complement(X_180),join(X_45,meet(complement(X_180),complement(converse(complement(converse(X_180))))))) = join(complement(X_180),join(X_45,meet(complement(X_180),complement(converse(complement(converse(X_180))))))),
introduced(tautology,[refl,[$fot(join(complement(X_180),join(X_45,meet(complement(X_180),complement(converse(complement(converse(X_180))))))))]]) ).
cnf(refute_0_1853,plain,
( join(X_45,meet(complement(X_180),complement(converse(complement(converse(X_180)))))) != X_45
| join(complement(X_180),join(X_45,meet(complement(X_180),complement(converse(complement(converse(X_180))))))) != join(complement(X_180),join(X_45,meet(complement(X_180),complement(converse(complement(converse(X_180)))))))
| join(complement(X_180),join(X_45,meet(complement(X_180),complement(converse(complement(converse(X_180))))))) = join(complement(X_180),X_45) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_180),join(X_45,meet(complement(X_180),complement(converse(complement(converse(X_180))))))),join(complement(X_180),join(X_45,meet(complement(X_180),complement(converse(complement(converse(X_180)))))))) ),[1,1],$fot(X_45)]]) ).
cnf(refute_0_1854,plain,
( join(X_45,meet(complement(X_180),complement(converse(complement(converse(X_180)))))) != X_45
| join(complement(X_180),join(X_45,meet(complement(X_180),complement(converse(complement(converse(X_180))))))) = join(complement(X_180),X_45) ),
inference(resolve,[$cnf( $equal(join(complement(X_180),join(X_45,meet(complement(X_180),complement(converse(complement(converse(X_180))))))),join(complement(X_180),join(X_45,meet(complement(X_180),complement(converse(complement(converse(X_180)))))))) )],[refute_0_1852,refute_0_1853]) ).
cnf(refute_0_1855,plain,
join(complement(X_180),join(X_45,meet(complement(X_180),complement(converse(complement(converse(X_180))))))) = join(complement(X_180),X_45),
inference(resolve,[$cnf( $equal(join(X_45,meet(complement(X_180),complement(converse(complement(converse(X_180)))))),X_45) )],[refute_0_1851,refute_0_1854]) ).
cnf(refute_0_1856,plain,
( join(complement(X_180),join(X_45,meet(complement(X_180),complement(converse(complement(converse(X_180))))))) != join(X_45,complement(X_180))
| join(complement(X_180),join(X_45,meet(complement(X_180),complement(converse(complement(converse(X_180))))))) != join(complement(X_180),X_45)
| join(complement(X_180),X_45) = join(X_45,complement(X_180)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_180),join(X_45,meet(complement(X_180),complement(converse(complement(converse(X_180))))))),join(X_45,complement(X_180))) ),[0],$fot(join(complement(X_180),X_45))]]) ).
cnf(refute_0_1857,plain,
( join(complement(X_180),join(X_45,meet(complement(X_180),complement(converse(complement(converse(X_180))))))) != join(X_45,complement(X_180))
| join(complement(X_180),X_45) = join(X_45,complement(X_180)) ),
inference(resolve,[$cnf( $equal(join(complement(X_180),join(X_45,meet(complement(X_180),complement(converse(complement(converse(X_180))))))),join(complement(X_180),X_45)) )],[refute_0_1855,refute_0_1856]) ).
cnf(refute_0_1858,plain,
join(complement(X_180),X_45) = join(X_45,complement(X_180)),
inference(resolve,[$cnf( $equal(join(complement(X_180),join(X_45,meet(complement(X_180),complement(converse(complement(converse(X_180))))))),join(X_45,complement(X_180))) )],[refute_0_1776,refute_0_1857]) ).
cnf(refute_0_1859,plain,
( join(complement(X_180),X_45) != join(X_45,complement(X_180))
| join(X_45,complement(X_180)) = join(complement(X_180),X_45) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(complement(X_180),X_45))),bind(Y,$fot(join(X_45,complement(X_180))))]]) ).
cnf(refute_0_1860,plain,
join(X_45,complement(X_180)) = join(complement(X_180),X_45),
inference(resolve,[$cnf( $equal(join(complement(X_180),X_45),join(X_45,complement(X_180))) )],[refute_0_1858,refute_0_1859]) ).
cnf(refute_0_1861,plain,
join(converse(complement(composition(complement(one),complement(composition(top,complement(one)))))),complement(converse(one))) = join(complement(converse(one)),converse(complement(composition(complement(one),complement(composition(top,complement(one))))))),
inference(subst,[],[refute_0_1860:[bind(X_180,$fot(converse(one))),bind(X_45,$fot(converse(complement(composition(complement(one),complement(composition(top,complement(one))))))))]]) ).
cnf(refute_0_1862,plain,
( join(complement(converse(one)),converse(complement(composition(complement(one),complement(composition(top,complement(one))))))) != converse(complement(meet(one,composition(complement(one),complement(composition(top,complement(one)))))))
| join(converse(complement(composition(complement(one),complement(composition(top,complement(one)))))),complement(converse(one))) != join(complement(converse(one)),converse(complement(composition(complement(one),complement(composition(top,complement(one)))))))
| join(converse(complement(composition(complement(one),complement(composition(top,complement(one)))))),complement(converse(one))) = converse(complement(meet(one,composition(complement(one),complement(composition(top,complement(one))))))) ),
inference(subst,[],[refute_0_71:[bind(X,$fot(join(converse(complement(composition(complement(one),complement(composition(top,complement(one)))))),complement(converse(one))))),bind(Y,$fot(join(complement(converse(one)),converse(complement(composition(complement(one),complement(composition(top,complement(one))))))))),bind(Z,$fot(converse(complement(meet(one,composition(complement(one),complement(composition(top,complement(one)))))))))]]) ).
cnf(refute_0_1863,plain,
( join(complement(converse(one)),converse(complement(composition(complement(one),complement(composition(top,complement(one))))))) != converse(complement(meet(one,composition(complement(one),complement(composition(top,complement(one)))))))
| join(converse(complement(composition(complement(one),complement(composition(top,complement(one)))))),complement(converse(one))) = converse(complement(meet(one,composition(complement(one),complement(composition(top,complement(one))))))) ),
inference(resolve,[$cnf( $equal(join(converse(complement(composition(complement(one),complement(composition(top,complement(one)))))),complement(converse(one))),join(complement(converse(one)),converse(complement(composition(complement(one),complement(composition(top,complement(one)))))))) )],[refute_0_1861,refute_0_1862]) ).
cnf(refute_0_1864,plain,
join(converse(complement(composition(complement(one),complement(composition(top,complement(one)))))),complement(converse(one))) = converse(complement(meet(one,composition(complement(one),complement(composition(top,complement(one))))))),
inference(resolve,[$cnf( $equal(join(complement(converse(one)),converse(complement(composition(complement(one),complement(composition(top,complement(one))))))),converse(complement(meet(one,composition(complement(one),complement(composition(top,complement(one)))))))) )],[refute_0_1758,refute_0_1863]) ).
cnf(refute_0_1865,plain,
( join(converse(complement(composition(complement(one),complement(composition(top,complement(one)))))),complement(converse(one))) != converse(complement(meet(one,composition(complement(one),complement(composition(top,complement(one)))))))
| join(converse(complement(composition(complement(one),complement(composition(top,complement(one)))))),complement(converse(one))) != top
| converse(complement(meet(one,composition(complement(one),complement(composition(top,complement(one))))))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(complement(composition(complement(one),complement(composition(top,complement(one)))))),complement(converse(one))),top) ),[0],$fot(converse(complement(meet(one,composition(complement(one),complement(composition(top,complement(one))))))))]]) ).
cnf(refute_0_1866,plain,
( join(converse(complement(composition(complement(one),complement(composition(top,complement(one)))))),complement(converse(one))) != top
| converse(complement(meet(one,composition(complement(one),complement(composition(top,complement(one))))))) = top ),
inference(resolve,[$cnf( $equal(join(converse(complement(composition(complement(one),complement(composition(top,complement(one)))))),complement(converse(one))),converse(complement(meet(one,composition(complement(one),complement(composition(top,complement(one)))))))) )],[refute_0_1864,refute_0_1865]) ).
cnf(refute_0_1867,plain,
converse(complement(meet(one,composition(complement(one),complement(composition(top,complement(one))))))) = top,
inference(resolve,[$cnf( $equal(join(converse(complement(composition(complement(one),complement(composition(top,complement(one)))))),complement(converse(one))),top) )],[refute_0_1732,refute_0_1866]) ).
cnf(refute_0_1868,plain,
( converse(complement(meet(one,composition(complement(one),complement(composition(top,complement(one))))))) != top
| top != join(complement(meet(one,composition(complement(one),complement(composition(top,complement(one)))))),converse(composition(top,complement(converse(complement(meet(one,composition(complement(one),complement(composition(top,complement(one)))))))))))
| top = join(complement(meet(one,composition(complement(one),complement(composition(top,complement(one)))))),converse(composition(top,complement(top)))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(meet(one,composition(complement(one),complement(composition(top,complement(one)))))),converse(composition(top,complement(converse(complement(meet(one,composition(complement(one),complement(composition(top,complement(one)))))))))))) ),[1,1,0,1,0],$fot(top)]]) ).
cnf(refute_0_1869,plain,
( top != join(complement(meet(one,composition(complement(one),complement(composition(top,complement(one)))))),converse(composition(top,complement(converse(complement(meet(one,composition(complement(one),complement(composition(top,complement(one)))))))))))
| top = join(complement(meet(one,composition(complement(one),complement(composition(top,complement(one)))))),converse(composition(top,complement(top)))) ),
inference(resolve,[$cnf( $equal(converse(complement(meet(one,composition(complement(one),complement(composition(top,complement(one))))))),top) )],[refute_0_1867,refute_0_1868]) ).
cnf(refute_0_1870,plain,
top = join(complement(meet(one,composition(complement(one),complement(composition(top,complement(one)))))),converse(composition(top,complement(top)))),
inference(resolve,[$cnf( $equal(top,join(complement(meet(one,composition(complement(one),complement(composition(top,complement(one)))))),converse(composition(top,complement(converse(complement(meet(one,composition(complement(one),complement(composition(top,complement(one)))))))))))) )],[refute_0_1195,refute_0_1869]) ).
cnf(refute_0_1871,plain,
join(zero,complement(meet(one,composition(complement(one),complement(composition(top,complement(one))))))) = complement(meet(one,composition(complement(one),complement(composition(top,complement(one)))))),
inference(subst,[],[refute_0_396:[bind(X_75,$fot(complement(meet(one,composition(complement(one),complement(composition(top,complement(one))))))))]]) ).
cnf(refute_0_1872,plain,
composition(X0,composition(X1,complement(composition(top,top)))) = composition(composition(X0,X1),complement(composition(top,top))),
inference(subst,[],[refute_0_1456:[bind(X2,$fot(complement(composition(top,top))))]]) ).
cnf(refute_0_1873,plain,
zero = composition(composition(X0,X1),complement(composition(top,top))),
inference(subst,[],[refute_0_1572:[bind(X_107,$fot(composition(X0,X1)))]]) ).
cnf(refute_0_1874,plain,
( zero != composition(composition(X0,X1),complement(composition(top,top)))
| composition(composition(X0,X1),complement(composition(top,top))) = zero ),
inference(subst,[],[refute_0_4:[bind(X,$fot(zero)),bind(Y,$fot(composition(composition(X0,X1),complement(composition(top,top)))))]]) ).
cnf(refute_0_1875,plain,
composition(composition(X0,X1),complement(composition(top,top))) = zero,
inference(resolve,[$cnf( $equal(zero,composition(composition(X0,X1),complement(composition(top,top)))) )],[refute_0_1873,refute_0_1874]) ).
cnf(refute_0_1876,plain,
( composition(X0,composition(X1,complement(composition(top,top)))) != composition(composition(X0,X1),complement(composition(top,top)))
| composition(composition(X0,X1),complement(composition(top,top))) != zero
| composition(X0,composition(X1,complement(composition(top,top)))) = zero ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(X0,composition(X1,complement(composition(top,top)))),zero) ),[0],$fot(composition(composition(X0,X1),complement(composition(top,top))))]]) ).
cnf(refute_0_1877,plain,
( composition(X0,composition(X1,complement(composition(top,top)))) != composition(composition(X0,X1),complement(composition(top,top)))
| composition(X0,composition(X1,complement(composition(top,top)))) = zero ),
inference(resolve,[$cnf( $equal(composition(composition(X0,X1),complement(composition(top,top))),zero) )],[refute_0_1875,refute_0_1876]) ).
cnf(refute_0_1878,plain,
composition(X0,composition(X1,complement(composition(top,top)))) = zero,
inference(resolve,[$cnf( $equal(composition(X0,composition(X1,complement(composition(top,top)))),composition(composition(X0,X1),complement(composition(top,top)))) )],[refute_0_1872,refute_0_1877]) ).
cnf(refute_0_1879,plain,
( zero != composition(X_107,complement(composition(top,top)))
| composition(X_107,complement(composition(top,top))) = zero ),
inference(subst,[],[refute_0_4:[bind(X,$fot(zero)),bind(Y,$fot(composition(X_107,complement(composition(top,top)))))]]) ).
cnf(refute_0_1880,plain,
composition(X_107,complement(composition(top,top))) = zero,
inference(resolve,[$cnf( $equal(zero,composition(X_107,complement(composition(top,top)))) )],[refute_0_1572,refute_0_1879]) ).
cnf(refute_0_1881,plain,
composition(X1,complement(composition(top,top))) = zero,
inference(subst,[],[refute_0_1880:[bind(X_107,$fot(X1))]]) ).
cnf(refute_0_1882,plain,
composition(X0,composition(X1,complement(composition(top,top)))) = composition(X0,composition(X1,complement(composition(top,top)))),
introduced(tautology,[refl,[$fot(composition(X0,composition(X1,complement(composition(top,top)))))]]) ).
cnf(refute_0_1883,plain,
( composition(X0,composition(X1,complement(composition(top,top)))) != composition(X0,composition(X1,complement(composition(top,top))))
| composition(X1,complement(composition(top,top))) != zero
| composition(X0,composition(X1,complement(composition(top,top)))) = composition(X0,zero) ),
introduced(tautology,[equality,[$cnf( $equal(composition(X0,composition(X1,complement(composition(top,top)))),composition(X0,composition(X1,complement(composition(top,top))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_1884,plain,
( composition(X1,complement(composition(top,top))) != zero
| composition(X0,composition(X1,complement(composition(top,top)))) = composition(X0,zero) ),
inference(resolve,[$cnf( $equal(composition(X0,composition(X1,complement(composition(top,top)))),composition(X0,composition(X1,complement(composition(top,top))))) )],[refute_0_1882,refute_0_1883]) ).
cnf(refute_0_1885,plain,
composition(X0,composition(X1,complement(composition(top,top)))) = composition(X0,zero),
inference(resolve,[$cnf( $equal(composition(X1,complement(composition(top,top))),zero) )],[refute_0_1881,refute_0_1884]) ).
cnf(refute_0_1886,plain,
( composition(X0,composition(X1,complement(composition(top,top)))) != composition(X0,zero)
| composition(X0,composition(X1,complement(composition(top,top)))) != zero
| composition(X0,zero) = zero ),
introduced(tautology,[equality,[$cnf( $equal(composition(X0,composition(X1,complement(composition(top,top)))),zero) ),[0],$fot(composition(X0,zero))]]) ).
cnf(refute_0_1887,plain,
( composition(X0,composition(X1,complement(composition(top,top)))) != zero
| composition(X0,zero) = zero ),
inference(resolve,[$cnf( $equal(composition(X0,composition(X1,complement(composition(top,top)))),composition(X0,zero)) )],[refute_0_1885,refute_0_1886]) ).
cnf(refute_0_1888,plain,
composition(X0,zero) = zero,
inference(resolve,[$cnf( $equal(composition(X0,composition(X1,complement(composition(top,top)))),zero) )],[refute_0_1878,refute_0_1887]) ).
cnf(refute_0_1889,plain,
composition(top,zero) = zero,
inference(subst,[],[refute_0_1888:[bind(X0,$fot(top))]]) ).
cnf(refute_0_1890,plain,
composition(top,complement(top)) = composition(top,complement(top)),
introduced(tautology,[refl,[$fot(composition(top,complement(top)))]]) ).
cnf(refute_0_1891,plain,
( complement(top) != zero
| composition(top,complement(top)) != composition(top,complement(top))
| composition(top,complement(top)) = composition(top,zero) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,complement(top)),composition(top,complement(top))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_1892,plain,
( complement(top) != zero
| composition(top,complement(top)) = composition(top,zero) ),
inference(resolve,[$cnf( $equal(composition(top,complement(top)),composition(top,complement(top))) )],[refute_0_1890,refute_0_1891]) ).
cnf(refute_0_1893,plain,
composition(top,complement(top)) = composition(top,zero),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_125,refute_0_1892]) ).
cnf(refute_0_1894,plain,
( composition(top,complement(top)) != composition(top,zero)
| composition(top,zero) != zero
| composition(top,complement(top)) = zero ),
inference(subst,[],[refute_0_71:[bind(X,$fot(composition(top,complement(top)))),bind(Y,$fot(composition(top,zero))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_1895,plain,
( composition(top,zero) != zero
| composition(top,complement(top)) = zero ),
inference(resolve,[$cnf( $equal(composition(top,complement(top)),composition(top,zero)) )],[refute_0_1893,refute_0_1894]) ).
cnf(refute_0_1896,plain,
composition(top,complement(top)) = zero,
inference(resolve,[$cnf( $equal(composition(top,zero),zero) )],[refute_0_1889,refute_0_1895]) ).
cnf(refute_0_1897,plain,
converse(composition(top,complement(top))) = converse(composition(top,complement(top))),
introduced(tautology,[refl,[$fot(converse(composition(top,complement(top))))]]) ).
cnf(refute_0_1898,plain,
( composition(top,complement(top)) != zero
| converse(composition(top,complement(top))) != converse(composition(top,complement(top)))
| converse(composition(top,complement(top))) = converse(zero) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(top,complement(top))),converse(composition(top,complement(top)))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_1899,plain,
( composition(top,complement(top)) != zero
| converse(composition(top,complement(top))) = converse(zero) ),
inference(resolve,[$cnf( $equal(converse(composition(top,complement(top))),converse(composition(top,complement(top)))) )],[refute_0_1897,refute_0_1898]) ).
cnf(refute_0_1900,plain,
converse(composition(top,complement(top))) = converse(zero),
inference(resolve,[$cnf( $equal(composition(top,complement(top)),zero) )],[refute_0_1896,refute_0_1899]) ).
cnf(refute_0_1901,plain,
( converse(composition(top,complement(top))) != converse(zero)
| converse(zero) != zero
| converse(composition(top,complement(top))) = zero ),
inference(subst,[],[refute_0_71:[bind(X,$fot(converse(composition(top,complement(top))))),bind(Y,$fot(converse(zero))),bind(Z,$fot(zero))]]) ).
cnf(refute_0_1902,plain,
( converse(zero) != zero
| converse(composition(top,complement(top))) = zero ),
inference(resolve,[$cnf( $equal(converse(composition(top,complement(top))),converse(zero)) )],[refute_0_1900,refute_0_1901]) ).
cnf(refute_0_1903,plain,
converse(composition(top,complement(top))) = zero,
inference(resolve,[$cnf( $equal(converse(zero),zero) )],[refute_0_1478,refute_0_1902]) ).
cnf(refute_0_1904,plain,
join(converse(composition(top,complement(top))),complement(meet(one,composition(complement(one),complement(composition(top,complement(one))))))) = join(converse(composition(top,complement(top))),complement(meet(one,composition(complement(one),complement(composition(top,complement(one))))))),
introduced(tautology,[refl,[$fot(join(converse(composition(top,complement(top))),complement(meet(one,composition(complement(one),complement(composition(top,complement(one))))))))]]) ).
cnf(refute_0_1905,plain,
( converse(composition(top,complement(top))) != zero
| join(converse(composition(top,complement(top))),complement(meet(one,composition(complement(one),complement(composition(top,complement(one))))))) != join(converse(composition(top,complement(top))),complement(meet(one,composition(complement(one),complement(composition(top,complement(one)))))))
| join(converse(composition(top,complement(top))),complement(meet(one,composition(complement(one),complement(composition(top,complement(one))))))) = join(zero,complement(meet(one,composition(complement(one),complement(composition(top,complement(one))))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(composition(top,complement(top))),complement(meet(one,composition(complement(one),complement(composition(top,complement(one))))))),join(converse(composition(top,complement(top))),complement(meet(one,composition(complement(one),complement(composition(top,complement(one)))))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_1906,plain,
( converse(composition(top,complement(top))) != zero
| join(converse(composition(top,complement(top))),complement(meet(one,composition(complement(one),complement(composition(top,complement(one))))))) = join(zero,complement(meet(one,composition(complement(one),complement(composition(top,complement(one))))))) ),
inference(resolve,[$cnf( $equal(join(converse(composition(top,complement(top))),complement(meet(one,composition(complement(one),complement(composition(top,complement(one))))))),join(converse(composition(top,complement(top))),complement(meet(one,composition(complement(one),complement(composition(top,complement(one)))))))) )],[refute_0_1904,refute_0_1905]) ).
cnf(refute_0_1907,plain,
join(converse(composition(top,complement(top))),complement(meet(one,composition(complement(one),complement(composition(top,complement(one))))))) = join(zero,complement(meet(one,composition(complement(one),complement(composition(top,complement(one))))))),
inference(resolve,[$cnf( $equal(converse(composition(top,complement(top))),zero) )],[refute_0_1903,refute_0_1906]) ).
cnf(refute_0_1908,plain,
( join(converse(composition(top,complement(top))),complement(meet(one,composition(complement(one),complement(composition(top,complement(one))))))) != join(zero,complement(meet(one,composition(complement(one),complement(composition(top,complement(one)))))))
| join(zero,complement(meet(one,composition(complement(one),complement(composition(top,complement(one))))))) != complement(meet(one,composition(complement(one),complement(composition(top,complement(one))))))
| join(converse(composition(top,complement(top))),complement(meet(one,composition(complement(one),complement(composition(top,complement(one))))))) = complement(meet(one,composition(complement(one),complement(composition(top,complement(one)))))) ),
inference(subst,[],[refute_0_71:[bind(X,$fot(join(converse(composition(top,complement(top))),complement(meet(one,composition(complement(one),complement(composition(top,complement(one))))))))),bind(Y,$fot(join(zero,complement(meet(one,composition(complement(one),complement(composition(top,complement(one))))))))),bind(Z,$fot(complement(meet(one,composition(complement(one),complement(composition(top,complement(one))))))))]]) ).
cnf(refute_0_1909,plain,
( join(zero,complement(meet(one,composition(complement(one),complement(composition(top,complement(one))))))) != complement(meet(one,composition(complement(one),complement(composition(top,complement(one))))))
| join(converse(composition(top,complement(top))),complement(meet(one,composition(complement(one),complement(composition(top,complement(one))))))) = complement(meet(one,composition(complement(one),complement(composition(top,complement(one)))))) ),
inference(resolve,[$cnf( $equal(join(converse(composition(top,complement(top))),complement(meet(one,composition(complement(one),complement(composition(top,complement(one))))))),join(zero,complement(meet(one,composition(complement(one),complement(composition(top,complement(one)))))))) )],[refute_0_1907,refute_0_1908]) ).
cnf(refute_0_1910,plain,
join(converse(composition(top,complement(top))),complement(meet(one,composition(complement(one),complement(composition(top,complement(one))))))) = complement(meet(one,composition(complement(one),complement(composition(top,complement(one)))))),
inference(resolve,[$cnf( $equal(join(zero,complement(meet(one,composition(complement(one),complement(composition(top,complement(one))))))),complement(meet(one,composition(complement(one),complement(composition(top,complement(one))))))) )],[refute_0_1871,refute_0_1909]) ).
cnf(refute_0_1911,plain,
join(complement(meet(one,composition(complement(one),complement(composition(top,complement(one)))))),converse(composition(top,complement(top)))) = join(converse(composition(top,complement(top))),complement(meet(one,composition(complement(one),complement(composition(top,complement(one))))))),
inference(subst,[],[refute_0_1858:[bind(X_180,$fot(meet(one,composition(complement(one),complement(composition(top,complement(one))))))),bind(X_45,$fot(converse(composition(top,complement(top)))))]]) ).
cnf(refute_0_1912,plain,
( join(complement(meet(one,composition(complement(one),complement(composition(top,complement(one)))))),converse(composition(top,complement(top)))) != join(converse(composition(top,complement(top))),complement(meet(one,composition(complement(one),complement(composition(top,complement(one)))))))
| join(converse(composition(top,complement(top))),complement(meet(one,composition(complement(one),complement(composition(top,complement(one))))))) != complement(meet(one,composition(complement(one),complement(composition(top,complement(one))))))
| join(complement(meet(one,composition(complement(one),complement(composition(top,complement(one)))))),converse(composition(top,complement(top)))) = complement(meet(one,composition(complement(one),complement(composition(top,complement(one)))))) ),
inference(subst,[],[refute_0_71:[bind(X,$fot(join(complement(meet(one,composition(complement(one),complement(composition(top,complement(one)))))),converse(composition(top,complement(top)))))),bind(Y,$fot(join(converse(composition(top,complement(top))),complement(meet(one,composition(complement(one),complement(composition(top,complement(one))))))))),bind(Z,$fot(complement(meet(one,composition(complement(one),complement(composition(top,complement(one))))))))]]) ).
cnf(refute_0_1913,plain,
( join(converse(composition(top,complement(top))),complement(meet(one,composition(complement(one),complement(composition(top,complement(one))))))) != complement(meet(one,composition(complement(one),complement(composition(top,complement(one))))))
| join(complement(meet(one,composition(complement(one),complement(composition(top,complement(one)))))),converse(composition(top,complement(top)))) = complement(meet(one,composition(complement(one),complement(composition(top,complement(one)))))) ),
inference(resolve,[$cnf( $equal(join(complement(meet(one,composition(complement(one),complement(composition(top,complement(one)))))),converse(composition(top,complement(top)))),join(converse(composition(top,complement(top))),complement(meet(one,composition(complement(one),complement(composition(top,complement(one)))))))) )],[refute_0_1911,refute_0_1912]) ).
cnf(refute_0_1914,plain,
join(complement(meet(one,composition(complement(one),complement(composition(top,complement(one)))))),converse(composition(top,complement(top)))) = complement(meet(one,composition(complement(one),complement(composition(top,complement(one)))))),
inference(resolve,[$cnf( $equal(join(converse(composition(top,complement(top))),complement(meet(one,composition(complement(one),complement(composition(top,complement(one))))))),complement(meet(one,composition(complement(one),complement(composition(top,complement(one))))))) )],[refute_0_1910,refute_0_1913]) ).
cnf(refute_0_1915,plain,
( join(complement(meet(one,composition(complement(one),complement(composition(top,complement(one)))))),converse(composition(top,complement(top)))) != complement(meet(one,composition(complement(one),complement(composition(top,complement(one))))))
| top != join(complement(meet(one,composition(complement(one),complement(composition(top,complement(one)))))),converse(composition(top,complement(top))))
| top = complement(meet(one,composition(complement(one),complement(composition(top,complement(one)))))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(meet(one,composition(complement(one),complement(composition(top,complement(one)))))),converse(composition(top,complement(top))))) ),[1],$fot(complement(meet(one,composition(complement(one),complement(composition(top,complement(one)))))))]]) ).
cnf(refute_0_1916,plain,
( top != join(complement(meet(one,composition(complement(one),complement(composition(top,complement(one)))))),converse(composition(top,complement(top))))
| top = complement(meet(one,composition(complement(one),complement(composition(top,complement(one)))))) ),
inference(resolve,[$cnf( $equal(join(complement(meet(one,composition(complement(one),complement(composition(top,complement(one)))))),converse(composition(top,complement(top)))),complement(meet(one,composition(complement(one),complement(composition(top,complement(one))))))) )],[refute_0_1914,refute_0_1915]) ).
cnf(refute_0_1917,plain,
top = complement(meet(one,composition(complement(one),complement(composition(top,complement(one)))))),
inference(resolve,[$cnf( $equal(top,join(complement(meet(one,composition(complement(one),complement(composition(top,complement(one)))))),converse(composition(top,complement(top))))) )],[refute_0_1870,refute_0_1916]) ).
cnf(refute_0_1918,plain,
( top != complement(meet(one,composition(complement(one),complement(composition(top,complement(one))))))
| complement(meet(one,composition(complement(one),complement(composition(top,complement(one)))))) = top ),
inference(subst,[],[refute_0_4:[bind(X,$fot(top)),bind(Y,$fot(complement(meet(one,composition(complement(one),complement(composition(top,complement(one))))))))]]) ).
cnf(refute_0_1919,plain,
complement(meet(one,composition(complement(one),complement(composition(top,complement(one)))))) = top,
inference(resolve,[$cnf( $equal(top,complement(meet(one,composition(complement(one),complement(composition(top,complement(one))))))) )],[refute_0_1917,refute_0_1918]) ).
cnf(refute_0_1920,plain,
( complement(meet(one,composition(complement(one),complement(composition(top,complement(one)))))) != top
| meet(one,composition(complement(one),complement(composition(top,complement(one))))) != complement(complement(meet(one,composition(complement(one),complement(composition(top,complement(one)))))))
| meet(one,composition(complement(one),complement(composition(top,complement(one))))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,composition(complement(one),complement(composition(top,complement(one))))),complement(complement(meet(one,composition(complement(one),complement(composition(top,complement(one)))))))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_1921,plain,
( meet(one,composition(complement(one),complement(composition(top,complement(one))))) != complement(complement(meet(one,composition(complement(one),complement(composition(top,complement(one)))))))
| meet(one,composition(complement(one),complement(composition(top,complement(one))))) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(meet(one,composition(complement(one),complement(composition(top,complement(one)))))),top) )],[refute_0_1919,refute_0_1920]) ).
cnf(refute_0_1922,plain,
meet(one,composition(complement(one),complement(composition(top,complement(one))))) = complement(top),
inference(resolve,[$cnf( $equal(meet(one,composition(complement(one),complement(composition(top,complement(one))))),complement(complement(meet(one,composition(complement(one),complement(composition(top,complement(one)))))))) )],[refute_0_1159,refute_0_1921]) ).
cnf(refute_0_1923,plain,
( complement(top) != zero
| meet(one,composition(complement(one),complement(composition(top,complement(one))))) != complement(top)
| meet(one,composition(complement(one),complement(composition(top,complement(one))))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(one,composition(complement(one),complement(composition(top,complement(one))))),complement(top)) ),[1],$fot(zero)]]) ).
cnf(refute_0_1924,plain,
( meet(one,composition(complement(one),complement(composition(top,complement(one))))) != complement(top)
| meet(one,composition(complement(one),complement(composition(top,complement(one))))) = zero ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_125,refute_0_1923]) ).
cnf(refute_0_1925,plain,
meet(one,composition(complement(one),complement(composition(top,complement(one))))) = zero,
inference(resolve,[$cnf( $equal(meet(one,composition(complement(one),complement(composition(top,complement(one))))),complement(top)) )],[refute_0_1922,refute_0_1924]) ).
cnf(refute_0_1926,plain,
( composition(complement(one),complement(composition(top,complement(one)))) != join(meet(one,composition(complement(one),complement(composition(top,complement(one))))),meet(complement(one),composition(complement(one),complement(composition(top,complement(one))))))
| meet(one,composition(complement(one),complement(composition(top,complement(one))))) != zero
| composition(complement(one),complement(composition(top,complement(one)))) = join(zero,meet(complement(one),composition(complement(one),complement(composition(top,complement(one)))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(one),complement(composition(top,complement(one)))),join(meet(one,composition(complement(one),complement(composition(top,complement(one))))),meet(complement(one),composition(complement(one),complement(composition(top,complement(one))))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_1927,plain,
( composition(complement(one),complement(composition(top,complement(one)))) != join(meet(one,composition(complement(one),complement(composition(top,complement(one))))),meet(complement(one),composition(complement(one),complement(composition(top,complement(one))))))
| composition(complement(one),complement(composition(top,complement(one)))) = join(zero,meet(complement(one),composition(complement(one),complement(composition(top,complement(one)))))) ),
inference(resolve,[$cnf( $equal(meet(one,composition(complement(one),complement(composition(top,complement(one))))),zero) )],[refute_0_1925,refute_0_1926]) ).
cnf(refute_0_1928,plain,
composition(complement(one),complement(composition(top,complement(one)))) = join(zero,meet(complement(one),composition(complement(one),complement(composition(top,complement(one)))))),
inference(resolve,[$cnf( $equal(composition(complement(one),complement(composition(top,complement(one)))),join(meet(one,composition(complement(one),complement(composition(top,complement(one))))),meet(complement(one),composition(complement(one),complement(composition(top,complement(one))))))) )],[refute_0_1158,refute_0_1927]) ).
cnf(refute_0_1929,plain,
join(zero,meet(complement(one),composition(complement(one),complement(composition(top,complement(one)))))) = meet(complement(one),composition(complement(one),complement(composition(top,complement(one))))),
inference(subst,[],[refute_0_396:[bind(X_75,$fot(meet(complement(one),composition(complement(one),complement(composition(top,complement(one)))))))]]) ).
cnf(refute_0_1930,plain,
( composition(complement(one),complement(composition(top,complement(one)))) != join(zero,meet(complement(one),composition(complement(one),complement(composition(top,complement(one))))))
| join(zero,meet(complement(one),composition(complement(one),complement(composition(top,complement(one)))))) != meet(complement(one),composition(complement(one),complement(composition(top,complement(one)))))
| composition(complement(one),complement(composition(top,complement(one)))) = meet(complement(one),composition(complement(one),complement(composition(top,complement(one))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(complement(one),complement(composition(top,complement(one)))),meet(complement(one),composition(complement(one),complement(composition(top,complement(one)))))) ),[0],$fot(join(zero,meet(complement(one),composition(complement(one),complement(composition(top,complement(one)))))))]]) ).
cnf(refute_0_1931,plain,
( composition(complement(one),complement(composition(top,complement(one)))) != join(zero,meet(complement(one),composition(complement(one),complement(composition(top,complement(one))))))
| composition(complement(one),complement(composition(top,complement(one)))) = meet(complement(one),composition(complement(one),complement(composition(top,complement(one))))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(one),composition(complement(one),complement(composition(top,complement(one)))))),meet(complement(one),composition(complement(one),complement(composition(top,complement(one)))))) )],[refute_0_1929,refute_0_1930]) ).
cnf(refute_0_1932,plain,
composition(complement(one),complement(composition(top,complement(one)))) = meet(complement(one),composition(complement(one),complement(composition(top,complement(one))))),
inference(resolve,[$cnf( $equal(composition(complement(one),complement(composition(top,complement(one)))),join(zero,meet(complement(one),composition(complement(one),complement(composition(top,complement(one))))))) )],[refute_0_1928,refute_0_1931]) ).
cnf(refute_0_1933,plain,
( composition(complement(one),complement(composition(top,complement(one)))) != meet(complement(one),composition(complement(one),complement(composition(top,complement(one)))))
| meet(complement(one),composition(complement(one),complement(composition(top,complement(one))))) = composition(complement(one),complement(composition(top,complement(one)))) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(composition(complement(one),complement(composition(top,complement(one)))))),bind(Y,$fot(meet(complement(one),composition(complement(one),complement(composition(top,complement(one)))))))]]) ).
cnf(refute_0_1934,plain,
meet(complement(one),composition(complement(one),complement(composition(top,complement(one))))) = composition(complement(one),complement(composition(top,complement(one)))),
inference(resolve,[$cnf( $equal(composition(complement(one),complement(composition(top,complement(one)))),meet(complement(one),composition(complement(one),complement(composition(top,complement(one)))))) )],[refute_0_1932,refute_0_1933]) ).
cnf(refute_0_1935,plain,
( join(one,complement(composition(complement(one),complement(composition(top,complement(one)))))) != complement(meet(complement(one),composition(complement(one),complement(composition(top,complement(one))))))
| meet(complement(one),composition(complement(one),complement(composition(top,complement(one))))) != composition(complement(one),complement(composition(top,complement(one))))
| join(one,complement(composition(complement(one),complement(composition(top,complement(one)))))) = complement(composition(complement(one),complement(composition(top,complement(one))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(one,complement(composition(complement(one),complement(composition(top,complement(one)))))),complement(meet(complement(one),composition(complement(one),complement(composition(top,complement(one))))))) ),[1,0],$fot(composition(complement(one),complement(composition(top,complement(one)))))]]) ).
cnf(refute_0_1936,plain,
( join(one,complement(composition(complement(one),complement(composition(top,complement(one)))))) != complement(meet(complement(one),composition(complement(one),complement(composition(top,complement(one))))))
| join(one,complement(composition(complement(one),complement(composition(top,complement(one)))))) = complement(composition(complement(one),complement(composition(top,complement(one))))) ),
inference(resolve,[$cnf( $equal(meet(complement(one),composition(complement(one),complement(composition(top,complement(one))))),composition(complement(one),complement(composition(top,complement(one))))) )],[refute_0_1934,refute_0_1935]) ).
cnf(refute_0_1937,plain,
join(one,complement(composition(complement(one),complement(composition(top,complement(one)))))) = complement(composition(complement(one),complement(composition(top,complement(one))))),
inference(resolve,[$cnf( $equal(join(one,complement(composition(complement(one),complement(composition(top,complement(one)))))),complement(meet(complement(one),composition(complement(one),complement(composition(top,complement(one))))))) )],[refute_0_1157,refute_0_1936]) ).
cnf(refute_0_1938,plain,
( join(complement(one),composition(converse(join(complement(composition(complement(one),complement(composition(top,complement(one))))),one)),complement(join(one,complement(composition(complement(one),complement(composition(top,complement(one))))))))) != complement(one)
| join(one,complement(composition(complement(one),complement(composition(top,complement(one)))))) != complement(composition(complement(one),complement(composition(top,complement(one)))))
| join(complement(one),composition(converse(join(complement(composition(complement(one),complement(composition(top,complement(one))))),one)),complement(complement(composition(complement(one),complement(composition(top,complement(one)))))))) = complement(one) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),composition(converse(join(complement(composition(complement(one),complement(composition(top,complement(one))))),one)),complement(join(one,complement(composition(complement(one),complement(composition(top,complement(one))))))))),complement(one)) ),[0,1,1,0],$fot(complement(composition(complement(one),complement(composition(top,complement(one))))))]]) ).
cnf(refute_0_1939,plain,
( join(complement(one),composition(converse(join(complement(composition(complement(one),complement(composition(top,complement(one))))),one)),complement(join(one,complement(composition(complement(one),complement(composition(top,complement(one))))))))) != complement(one)
| join(complement(one),composition(converse(join(complement(composition(complement(one),complement(composition(top,complement(one))))),one)),complement(complement(composition(complement(one),complement(composition(top,complement(one)))))))) = complement(one) ),
inference(resolve,[$cnf( $equal(join(one,complement(composition(complement(one),complement(composition(top,complement(one)))))),complement(composition(complement(one),complement(composition(top,complement(one)))))) )],[refute_0_1937,refute_0_1938]) ).
cnf(refute_0_1940,plain,
join(complement(one),composition(converse(join(complement(composition(complement(one),complement(composition(top,complement(one))))),one)),complement(complement(composition(complement(one),complement(composition(top,complement(one)))))))) = complement(one),
inference(resolve,[$cnf( $equal(join(complement(one),composition(converse(join(complement(composition(complement(one),complement(composition(top,complement(one))))),one)),complement(join(one,complement(composition(complement(one),complement(composition(top,complement(one))))))))),complement(one)) )],[refute_0_1149,refute_0_1939]) ).
cnf(refute_0_1941,plain,
complement(complement(composition(complement(one),complement(composition(top,complement(one)))))) = composition(complement(one),complement(composition(top,complement(one)))),
inference(subst,[],[refute_0_781:[bind(X1,$fot(composition(complement(one),complement(composition(top,complement(one))))))]]) ).
cnf(refute_0_1942,plain,
composition(complement(composition(complement(composition(complement(one),top)),complement(one))),complement(complement(composition(complement(one),complement(composition(top,complement(one))))))) = composition(complement(composition(complement(composition(complement(one),top)),complement(one))),complement(complement(composition(complement(one),complement(composition(top,complement(one))))))),
introduced(tautology,[refl,[$fot(composition(complement(composition(complement(composition(complement(one),top)),complement(one))),complement(complement(composition(complement(one),complement(composition(top,complement(one))))))))]]) ).
cnf(refute_0_1943,plain,
( complement(complement(composition(complement(one),complement(composition(top,complement(one)))))) != composition(complement(one),complement(composition(top,complement(one))))
| composition(complement(composition(complement(composition(complement(one),top)),complement(one))),complement(complement(composition(complement(one),complement(composition(top,complement(one))))))) != composition(complement(composition(complement(composition(complement(one),top)),complement(one))),complement(complement(composition(complement(one),complement(composition(top,complement(one)))))))
| composition(complement(composition(complement(composition(complement(one),top)),complement(one))),complement(complement(composition(complement(one),complement(composition(top,complement(one))))))) = composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(complement(composition(complement(composition(complement(one),top)),complement(one))),complement(complement(composition(complement(one),complement(composition(top,complement(one))))))),composition(complement(composition(complement(composition(complement(one),top)),complement(one))),complement(complement(composition(complement(one),complement(composition(top,complement(one)))))))) ),[1,1],$fot(composition(complement(one),complement(composition(top,complement(one)))))]]) ).
cnf(refute_0_1944,plain,
( complement(complement(composition(complement(one),complement(composition(top,complement(one)))))) != composition(complement(one),complement(composition(top,complement(one))))
| composition(complement(composition(complement(composition(complement(one),top)),complement(one))),complement(complement(composition(complement(one),complement(composition(top,complement(one))))))) = composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one))))) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(complement(composition(complement(one),top)),complement(one))),complement(complement(composition(complement(one),complement(composition(top,complement(one))))))),composition(complement(composition(complement(composition(complement(one),top)),complement(one))),complement(complement(composition(complement(one),complement(composition(top,complement(one)))))))) )],[refute_0_1942,refute_0_1943]) ).
cnf(refute_0_1945,plain,
composition(complement(composition(complement(composition(complement(one),top)),complement(one))),complement(complement(composition(complement(one),complement(composition(top,complement(one))))))) = composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one))))),
inference(resolve,[$cnf( $equal(complement(complement(composition(complement(one),complement(composition(top,complement(one)))))),composition(complement(one),complement(composition(top,complement(one))))) )],[refute_0_1941,refute_0_1944]) ).
cnf(refute_0_1946,plain,
converse(converse(composition(complement(composition(complement(one),top)),complement(one)))) = composition(complement(composition(complement(one),top)),complement(one)),
inference(subst,[],[refute_0_35:[bind(X0,$fot(composition(complement(composition(complement(one),top)),complement(one))))]]) ).
cnf(refute_0_1947,plain,
converse(composition(X_17,converse(complement(one)))) = composition(complement(one),converse(X_17)),
inference(subst,[],[refute_0_55:[bind(X0,$fot(complement(one)))]]) ).
cnf(refute_0_1948,plain,
( converse(complement(one)) != complement(one)
| converse(composition(X_17,converse(complement(one)))) != composition(complement(one),converse(X_17))
| converse(composition(X_17,complement(one))) = composition(complement(one),converse(X_17)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(X_17,converse(complement(one)))),composition(complement(one),converse(X_17))) ),[0,0,1],$fot(complement(one))]]) ).
cnf(refute_0_1949,plain,
( converse(composition(X_17,converse(complement(one)))) != composition(complement(one),converse(X_17))
| converse(composition(X_17,complement(one))) = composition(complement(one),converse(X_17)) ),
inference(resolve,[$cnf( $equal(converse(complement(one)),complement(one)) )],[refute_0_1448,refute_0_1948]) ).
cnf(refute_0_1950,plain,
converse(composition(X_17,complement(one))) = composition(complement(one),converse(X_17)),
inference(resolve,[$cnf( $equal(converse(composition(X_17,converse(complement(one)))),composition(complement(one),converse(X_17))) )],[refute_0_1947,refute_0_1949]) ).
cnf(refute_0_1951,plain,
converse(composition(complement(composition(complement(one),top)),complement(one))) = composition(complement(one),converse(complement(composition(complement(one),top)))),
inference(subst,[],[refute_0_1950:[bind(X_17,$fot(complement(composition(complement(one),top))))]]) ).
cnf(refute_0_1952,plain,
converse(complement(composition(complement(one),top))) = join(meet(composition(top,complement(one)),converse(complement(composition(complement(one),top)))),meet(converse(complement(composition(complement(one),top))),complement(composition(top,complement(one))))),
inference(subst,[],[refute_0_438:[bind(X_73,$fot(converse(complement(composition(complement(one),top))))),bind(X_74,$fot(composition(top,complement(one))))]]) ).
cnf(refute_0_1953,plain,
meet(composition(top,complement(one)),converse(complement(composition(complement(one),top)))) = complement(complement(meet(composition(top,complement(one)),converse(complement(composition(complement(one),top)))))),
inference(subst,[],[refute_0_458:[bind(X1,$fot(meet(composition(top,complement(one)),converse(complement(composition(complement(one),top))))))]]) ).
cnf(refute_0_1954,plain,
complement(meet(converse(composition(complement(one),top)),converse(complement(composition(complement(one),top))))) = top,
inference(subst,[],[refute_0_1070:[bind(X_85,$fot(composition(complement(one),top)))]]) ).
cnf(refute_0_1955,plain,
converse(converse(composition(top,complement(one)))) = composition(top,complement(one)),
inference(subst,[],[refute_0_35:[bind(X0,$fot(composition(top,complement(one))))]]) ).
cnf(refute_0_1956,plain,
( converse(composition(top,complement(one))) != composition(complement(one),top)
| converse(converse(composition(top,complement(one)))) != composition(top,complement(one))
| converse(composition(complement(one),top)) = composition(top,complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(composition(top,complement(one)))),composition(top,complement(one))) ),[0,0],$fot(composition(complement(one),top))]]) ).
cnf(refute_0_1957,plain,
( converse(converse(composition(top,complement(one)))) != composition(top,complement(one))
| converse(composition(complement(one),top)) = composition(top,complement(one)) ),
inference(resolve,[$cnf( $equal(converse(composition(top,complement(one))),composition(complement(one),top)) )],[refute_0_1451,refute_0_1956]) ).
cnf(refute_0_1958,plain,
converse(composition(complement(one),top)) = composition(top,complement(one)),
inference(resolve,[$cnf( $equal(converse(converse(composition(top,complement(one)))),composition(top,complement(one))) )],[refute_0_1955,refute_0_1957]) ).
cnf(refute_0_1959,plain,
( complement(meet(converse(composition(complement(one),top)),converse(complement(composition(complement(one),top))))) != top
| converse(composition(complement(one),top)) != composition(top,complement(one))
| complement(meet(composition(top,complement(one)),converse(complement(composition(complement(one),top))))) = top ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(converse(composition(complement(one),top)),converse(complement(composition(complement(one),top))))),top) ),[0,0,0],$fot(composition(top,complement(one)))]]) ).
cnf(refute_0_1960,plain,
( complement(meet(converse(composition(complement(one),top)),converse(complement(composition(complement(one),top))))) != top
| complement(meet(composition(top,complement(one)),converse(complement(composition(complement(one),top))))) = top ),
inference(resolve,[$cnf( $equal(converse(composition(complement(one),top)),composition(top,complement(one))) )],[refute_0_1958,refute_0_1959]) ).
cnf(refute_0_1961,plain,
complement(meet(composition(top,complement(one)),converse(complement(composition(complement(one),top))))) = top,
inference(resolve,[$cnf( $equal(complement(meet(converse(composition(complement(one),top)),converse(complement(composition(complement(one),top))))),top) )],[refute_0_1954,refute_0_1960]) ).
cnf(refute_0_1962,plain,
( complement(meet(composition(top,complement(one)),converse(complement(composition(complement(one),top))))) != top
| meet(composition(top,complement(one)),converse(complement(composition(complement(one),top)))) != complement(complement(meet(composition(top,complement(one)),converse(complement(composition(complement(one),top))))))
| meet(composition(top,complement(one)),converse(complement(composition(complement(one),top)))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(meet(composition(top,complement(one)),converse(complement(composition(complement(one),top)))),complement(complement(meet(composition(top,complement(one)),converse(complement(composition(complement(one),top))))))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_1963,plain,
( meet(composition(top,complement(one)),converse(complement(composition(complement(one),top)))) != complement(complement(meet(composition(top,complement(one)),converse(complement(composition(complement(one),top))))))
| meet(composition(top,complement(one)),converse(complement(composition(complement(one),top)))) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(meet(composition(top,complement(one)),converse(complement(composition(complement(one),top))))),top) )],[refute_0_1961,refute_0_1962]) ).
cnf(refute_0_1964,plain,
meet(composition(top,complement(one)),converse(complement(composition(complement(one),top)))) = complement(top),
inference(resolve,[$cnf( $equal(meet(composition(top,complement(one)),converse(complement(composition(complement(one),top)))),complement(complement(meet(composition(top,complement(one)),converse(complement(composition(complement(one),top))))))) )],[refute_0_1953,refute_0_1963]) ).
cnf(refute_0_1965,plain,
( complement(top) != zero
| meet(composition(top,complement(one)),converse(complement(composition(complement(one),top)))) != complement(top)
| meet(composition(top,complement(one)),converse(complement(composition(complement(one),top)))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(composition(top,complement(one)),converse(complement(composition(complement(one),top)))),complement(top)) ),[1],$fot(zero)]]) ).
cnf(refute_0_1966,plain,
( meet(composition(top,complement(one)),converse(complement(composition(complement(one),top)))) != complement(top)
| meet(composition(top,complement(one)),converse(complement(composition(complement(one),top)))) = zero ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_125,refute_0_1965]) ).
cnf(refute_0_1967,plain,
meet(composition(top,complement(one)),converse(complement(composition(complement(one),top)))) = zero,
inference(resolve,[$cnf( $equal(meet(composition(top,complement(one)),converse(complement(composition(complement(one),top)))),complement(top)) )],[refute_0_1964,refute_0_1966]) ).
cnf(refute_0_1968,plain,
( converse(complement(composition(complement(one),top))) != join(meet(composition(top,complement(one)),converse(complement(composition(complement(one),top)))),meet(converse(complement(composition(complement(one),top))),complement(composition(top,complement(one)))))
| meet(composition(top,complement(one)),converse(complement(composition(complement(one),top)))) != zero
| converse(complement(composition(complement(one),top))) = join(zero,meet(converse(complement(composition(complement(one),top))),complement(composition(top,complement(one))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(composition(complement(one),top))),join(meet(composition(top,complement(one)),converse(complement(composition(complement(one),top)))),meet(converse(complement(composition(complement(one),top))),complement(composition(top,complement(one)))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_1969,plain,
( converse(complement(composition(complement(one),top))) != join(meet(composition(top,complement(one)),converse(complement(composition(complement(one),top)))),meet(converse(complement(composition(complement(one),top))),complement(composition(top,complement(one)))))
| converse(complement(composition(complement(one),top))) = join(zero,meet(converse(complement(composition(complement(one),top))),complement(composition(top,complement(one))))) ),
inference(resolve,[$cnf( $equal(meet(composition(top,complement(one)),converse(complement(composition(complement(one),top)))),zero) )],[refute_0_1967,refute_0_1968]) ).
cnf(refute_0_1970,plain,
converse(complement(composition(complement(one),top))) = join(zero,meet(converse(complement(composition(complement(one),top))),complement(composition(top,complement(one))))),
inference(resolve,[$cnf( $equal(converse(complement(composition(complement(one),top))),join(meet(composition(top,complement(one)),converse(complement(composition(complement(one),top)))),meet(converse(complement(composition(complement(one),top))),complement(composition(top,complement(one)))))) )],[refute_0_1952,refute_0_1969]) ).
cnf(refute_0_1971,plain,
complement(composition(top,complement(one))) = meet(complement(composition(top,complement(one))),converse(complement(converse(composition(top,complement(one)))))),
inference(subst,[],[refute_0_658:[bind(X_85,$fot(composition(top,complement(one))))]]) ).
cnf(refute_0_1972,plain,
( complement(composition(top,complement(one))) != meet(complement(composition(top,complement(one))),converse(complement(converse(composition(top,complement(one))))))
| converse(composition(top,complement(one))) != composition(complement(one),top)
| complement(composition(top,complement(one))) = meet(complement(composition(top,complement(one))),converse(complement(composition(complement(one),top)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(top,complement(one))),meet(complement(composition(top,complement(one))),converse(complement(converse(composition(top,complement(one))))))) ),[1,1,0,0],$fot(composition(complement(one),top))]]) ).
cnf(refute_0_1973,plain,
( complement(composition(top,complement(one))) != meet(complement(composition(top,complement(one))),converse(complement(converse(composition(top,complement(one))))))
| complement(composition(top,complement(one))) = meet(complement(composition(top,complement(one))),converse(complement(composition(complement(one),top)))) ),
inference(resolve,[$cnf( $equal(converse(composition(top,complement(one))),composition(complement(one),top)) )],[refute_0_1451,refute_0_1972]) ).
cnf(refute_0_1974,plain,
complement(composition(top,complement(one))) = meet(complement(composition(top,complement(one))),converse(complement(composition(complement(one),top)))),
inference(resolve,[$cnf( $equal(complement(composition(top,complement(one))),meet(complement(composition(top,complement(one))),converse(complement(converse(composition(top,complement(one))))))) )],[refute_0_1971,refute_0_1973]) ).
cnf(refute_0_1975,plain,
( complement(composition(top,complement(one))) != meet(complement(composition(top,complement(one))),converse(complement(composition(complement(one),top))))
| meet(complement(composition(top,complement(one))),converse(complement(composition(complement(one),top)))) = complement(composition(top,complement(one))) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(complement(composition(top,complement(one))))),bind(Y,$fot(meet(complement(composition(top,complement(one))),converse(complement(composition(complement(one),top))))))]]) ).
cnf(refute_0_1976,plain,
meet(complement(composition(top,complement(one))),converse(complement(composition(complement(one),top)))) = complement(composition(top,complement(one))),
inference(resolve,[$cnf( $equal(complement(composition(top,complement(one))),meet(complement(composition(top,complement(one))),converse(complement(composition(complement(one),top))))) )],[refute_0_1974,refute_0_1975]) ).
cnf(refute_0_1977,plain,
meet(converse(complement(composition(complement(one),top))),complement(composition(top,complement(one)))) = meet(complement(composition(top,complement(one))),converse(complement(composition(complement(one),top)))),
inference(subst,[],[refute_0_901:[bind(X_13,$fot(complement(composition(top,complement(one))))),bind(X_14,$fot(converse(complement(composition(complement(one),top)))))]]) ).
cnf(refute_0_1978,plain,
( meet(complement(composition(top,complement(one))),converse(complement(composition(complement(one),top)))) != complement(composition(top,complement(one)))
| meet(converse(complement(composition(complement(one),top))),complement(composition(top,complement(one)))) != meet(complement(composition(top,complement(one))),converse(complement(composition(complement(one),top))))
| meet(converse(complement(composition(complement(one),top))),complement(composition(top,complement(one)))) = complement(composition(top,complement(one))) ),
inference(subst,[],[refute_0_71:[bind(X,$fot(meet(converse(complement(composition(complement(one),top))),complement(composition(top,complement(one)))))),bind(Y,$fot(meet(complement(composition(top,complement(one))),converse(complement(composition(complement(one),top)))))),bind(Z,$fot(complement(composition(top,complement(one)))))]]) ).
cnf(refute_0_1979,plain,
( meet(complement(composition(top,complement(one))),converse(complement(composition(complement(one),top)))) != complement(composition(top,complement(one)))
| meet(converse(complement(composition(complement(one),top))),complement(composition(top,complement(one)))) = complement(composition(top,complement(one))) ),
inference(resolve,[$cnf( $equal(meet(converse(complement(composition(complement(one),top))),complement(composition(top,complement(one)))),meet(complement(composition(top,complement(one))),converse(complement(composition(complement(one),top))))) )],[refute_0_1977,refute_0_1978]) ).
cnf(refute_0_1980,plain,
meet(converse(complement(composition(complement(one),top))),complement(composition(top,complement(one)))) = complement(composition(top,complement(one))),
inference(resolve,[$cnf( $equal(meet(complement(composition(top,complement(one))),converse(complement(composition(complement(one),top)))),complement(composition(top,complement(one)))) )],[refute_0_1976,refute_0_1979]) ).
cnf(refute_0_1981,plain,
join(zero,meet(converse(complement(composition(complement(one),top))),complement(composition(top,complement(one))))) = meet(converse(complement(composition(complement(one),top))),complement(composition(top,complement(one)))),
inference(subst,[],[refute_0_396:[bind(X_75,$fot(meet(converse(complement(composition(complement(one),top))),complement(composition(top,complement(one))))))]]) ).
cnf(refute_0_1982,plain,
( join(zero,meet(converse(complement(composition(complement(one),top))),complement(composition(top,complement(one))))) != meet(converse(complement(composition(complement(one),top))),complement(composition(top,complement(one))))
| meet(converse(complement(composition(complement(one),top))),complement(composition(top,complement(one)))) != complement(composition(top,complement(one)))
| join(zero,meet(converse(complement(composition(complement(one),top))),complement(composition(top,complement(one))))) = complement(composition(top,complement(one))) ),
inference(subst,[],[refute_0_71:[bind(X,$fot(join(zero,meet(converse(complement(composition(complement(one),top))),complement(composition(top,complement(one))))))),bind(Y,$fot(meet(converse(complement(composition(complement(one),top))),complement(composition(top,complement(one)))))),bind(Z,$fot(complement(composition(top,complement(one)))))]]) ).
cnf(refute_0_1983,plain,
( meet(converse(complement(composition(complement(one),top))),complement(composition(top,complement(one)))) != complement(composition(top,complement(one)))
| join(zero,meet(converse(complement(composition(complement(one),top))),complement(composition(top,complement(one))))) = complement(composition(top,complement(one))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(converse(complement(composition(complement(one),top))),complement(composition(top,complement(one))))),meet(converse(complement(composition(complement(one),top))),complement(composition(top,complement(one))))) )],[refute_0_1981,refute_0_1982]) ).
cnf(refute_0_1984,plain,
join(zero,meet(converse(complement(composition(complement(one),top))),complement(composition(top,complement(one))))) = complement(composition(top,complement(one))),
inference(resolve,[$cnf( $equal(meet(converse(complement(composition(complement(one),top))),complement(composition(top,complement(one)))),complement(composition(top,complement(one)))) )],[refute_0_1980,refute_0_1983]) ).
cnf(refute_0_1985,plain,
( converse(complement(composition(complement(one),top))) != join(zero,meet(converse(complement(composition(complement(one),top))),complement(composition(top,complement(one)))))
| join(zero,meet(converse(complement(composition(complement(one),top))),complement(composition(top,complement(one))))) != complement(composition(top,complement(one)))
| converse(complement(composition(complement(one),top))) = complement(composition(top,complement(one))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(complement(composition(complement(one),top))),complement(composition(top,complement(one)))) ),[0],$fot(join(zero,meet(converse(complement(composition(complement(one),top))),complement(composition(top,complement(one))))))]]) ).
cnf(refute_0_1986,plain,
( converse(complement(composition(complement(one),top))) != join(zero,meet(converse(complement(composition(complement(one),top))),complement(composition(top,complement(one)))))
| converse(complement(composition(complement(one),top))) = complement(composition(top,complement(one))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(converse(complement(composition(complement(one),top))),complement(composition(top,complement(one))))),complement(composition(top,complement(one)))) )],[refute_0_1984,refute_0_1985]) ).
cnf(refute_0_1987,plain,
converse(complement(composition(complement(one),top))) = complement(composition(top,complement(one))),
inference(resolve,[$cnf( $equal(converse(complement(composition(complement(one),top))),join(zero,meet(converse(complement(composition(complement(one),top))),complement(composition(top,complement(one)))))) )],[refute_0_1970,refute_0_1986]) ).
cnf(refute_0_1988,plain,
( converse(complement(composition(complement(one),top))) != complement(composition(top,complement(one)))
| converse(composition(complement(composition(complement(one),top)),complement(one))) != composition(complement(one),converse(complement(composition(complement(one),top))))
| converse(composition(complement(composition(complement(one),top)),complement(one))) = composition(complement(one),complement(composition(top,complement(one)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),converse(complement(composition(complement(one),top))))) ),[1,1],$fot(complement(composition(top,complement(one))))]]) ).
cnf(refute_0_1989,plain,
( converse(composition(complement(composition(complement(one),top)),complement(one))) != composition(complement(one),converse(complement(composition(complement(one),top))))
| converse(composition(complement(composition(complement(one),top)),complement(one))) = composition(complement(one),complement(composition(top,complement(one)))) ),
inference(resolve,[$cnf( $equal(converse(complement(composition(complement(one),top))),complement(composition(top,complement(one)))) )],[refute_0_1987,refute_0_1988]) ).
cnf(refute_0_1990,plain,
converse(composition(complement(composition(complement(one),top)),complement(one))) = composition(complement(one),complement(composition(top,complement(one)))),
inference(resolve,[$cnf( $equal(converse(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),converse(complement(composition(complement(one),top))))) )],[refute_0_1951,refute_0_1989]) ).
cnf(refute_0_1991,plain,
( converse(composition(complement(composition(complement(one),top)),complement(one))) != composition(complement(one),complement(composition(top,complement(one))))
| converse(converse(composition(complement(composition(complement(one),top)),complement(one)))) != composition(complement(composition(complement(one),top)),complement(one))
| converse(composition(complement(one),complement(composition(top,complement(one))))) = composition(complement(composition(complement(one),top)),complement(one)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(composition(complement(composition(complement(one),top)),complement(one)))),composition(complement(composition(complement(one),top)),complement(one))) ),[0,0],$fot(composition(complement(one),complement(composition(top,complement(one)))))]]) ).
cnf(refute_0_1992,plain,
( converse(converse(composition(complement(composition(complement(one),top)),complement(one)))) != composition(complement(composition(complement(one),top)),complement(one))
| converse(composition(complement(one),complement(composition(top,complement(one))))) = composition(complement(composition(complement(one),top)),complement(one)) ),
inference(resolve,[$cnf( $equal(converse(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one))))) )],[refute_0_1990,refute_0_1991]) ).
cnf(refute_0_1993,plain,
converse(composition(complement(one),complement(composition(top,complement(one))))) = composition(complement(composition(complement(one),top)),complement(one)),
inference(resolve,[$cnf( $equal(converse(converse(composition(complement(composition(complement(one),top)),complement(one)))),composition(complement(composition(complement(one),top)),complement(one))) )],[refute_0_1946,refute_0_1992]) ).
cnf(refute_0_1994,plain,
complement(converse(composition(complement(one),complement(composition(top,complement(one)))))) = complement(converse(composition(complement(one),complement(composition(top,complement(one)))))),
introduced(tautology,[refl,[$fot(complement(converse(composition(complement(one),complement(composition(top,complement(one)))))))]]) ).
cnf(refute_0_1995,plain,
( complement(converse(composition(complement(one),complement(composition(top,complement(one)))))) != complement(converse(composition(complement(one),complement(composition(top,complement(one))))))
| converse(composition(complement(one),complement(composition(top,complement(one))))) != composition(complement(composition(complement(one),top)),complement(one))
| complement(converse(composition(complement(one),complement(composition(top,complement(one)))))) = complement(composition(complement(composition(complement(one),top)),complement(one))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(composition(complement(one),complement(composition(top,complement(one)))))),complement(converse(composition(complement(one),complement(composition(top,complement(one))))))) ),[1,0],$fot(composition(complement(composition(complement(one),top)),complement(one)))]]) ).
cnf(refute_0_1996,plain,
( converse(composition(complement(one),complement(composition(top,complement(one))))) != composition(complement(composition(complement(one),top)),complement(one))
| complement(converse(composition(complement(one),complement(composition(top,complement(one)))))) = complement(composition(complement(composition(complement(one),top)),complement(one))) ),
inference(resolve,[$cnf( $equal(complement(converse(composition(complement(one),complement(composition(top,complement(one)))))),complement(converse(composition(complement(one),complement(composition(top,complement(one))))))) )],[refute_0_1994,refute_0_1995]) ).
cnf(refute_0_1997,plain,
complement(converse(composition(complement(one),complement(composition(top,complement(one)))))) = complement(composition(complement(composition(complement(one),top)),complement(one))),
inference(resolve,[$cnf( $equal(converse(composition(complement(one),complement(composition(top,complement(one))))),composition(complement(composition(complement(one),top)),complement(one))) )],[refute_0_1993,refute_0_1996]) ).
cnf(refute_0_1998,plain,
converse(complement(composition(complement(one),complement(composition(top,complement(one)))))) = complement(converse(composition(complement(one),complement(composition(top,complement(one)))))),
inference(subst,[],[refute_0_1095:[bind(X_275,$fot(composition(complement(one),complement(composition(top,complement(one))))))]]) ).
cnf(refute_0_1999,plain,
( complement(converse(composition(complement(one),complement(composition(top,complement(one)))))) != complement(composition(complement(composition(complement(one),top)),complement(one)))
| converse(complement(composition(complement(one),complement(composition(top,complement(one)))))) != complement(converse(composition(complement(one),complement(composition(top,complement(one))))))
| converse(complement(composition(complement(one),complement(composition(top,complement(one)))))) = complement(composition(complement(composition(complement(one),top)),complement(one))) ),
inference(subst,[],[refute_0_71:[bind(X,$fot(converse(complement(composition(complement(one),complement(composition(top,complement(one)))))))),bind(Y,$fot(complement(converse(composition(complement(one),complement(composition(top,complement(one)))))))),bind(Z,$fot(complement(composition(complement(composition(complement(one),top)),complement(one)))))]]) ).
cnf(refute_0_2000,plain,
( complement(converse(composition(complement(one),complement(composition(top,complement(one)))))) != complement(composition(complement(composition(complement(one),top)),complement(one)))
| converse(complement(composition(complement(one),complement(composition(top,complement(one)))))) = complement(composition(complement(composition(complement(one),top)),complement(one))) ),
inference(resolve,[$cnf( $equal(converse(complement(composition(complement(one),complement(composition(top,complement(one)))))),complement(converse(composition(complement(one),complement(composition(top,complement(one))))))) )],[refute_0_1998,refute_0_1999]) ).
cnf(refute_0_2001,plain,
converse(complement(composition(complement(one),complement(composition(top,complement(one)))))) = complement(composition(complement(composition(complement(one),top)),complement(one))),
inference(resolve,[$cnf( $equal(complement(converse(composition(complement(one),complement(composition(top,complement(one)))))),complement(composition(complement(composition(complement(one),top)),complement(one)))) )],[refute_0_1997,refute_0_2000]) ).
cnf(refute_0_2002,plain,
converse(join(one,complement(composition(complement(one),complement(composition(top,complement(one))))))) = converse(join(one,complement(composition(complement(one),complement(composition(top,complement(one))))))),
introduced(tautology,[refl,[$fot(converse(join(one,complement(composition(complement(one),complement(composition(top,complement(one))))))))]]) ).
cnf(refute_0_2003,plain,
( converse(join(one,complement(composition(complement(one),complement(composition(top,complement(one))))))) != converse(join(one,complement(composition(complement(one),complement(composition(top,complement(one)))))))
| join(one,complement(composition(complement(one),complement(composition(top,complement(one)))))) != complement(composition(complement(one),complement(composition(top,complement(one)))))
| converse(join(one,complement(composition(complement(one),complement(composition(top,complement(one))))))) = converse(complement(composition(complement(one),complement(composition(top,complement(one)))))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,complement(composition(complement(one),complement(composition(top,complement(one))))))),converse(join(one,complement(composition(complement(one),complement(composition(top,complement(one)))))))) ),[1,0],$fot(complement(composition(complement(one),complement(composition(top,complement(one))))))]]) ).
cnf(refute_0_2004,plain,
( join(one,complement(composition(complement(one),complement(composition(top,complement(one)))))) != complement(composition(complement(one),complement(composition(top,complement(one)))))
| converse(join(one,complement(composition(complement(one),complement(composition(top,complement(one))))))) = converse(complement(composition(complement(one),complement(composition(top,complement(one)))))) ),
inference(resolve,[$cnf( $equal(converse(join(one,complement(composition(complement(one),complement(composition(top,complement(one))))))),converse(join(one,complement(composition(complement(one),complement(composition(top,complement(one)))))))) )],[refute_0_2002,refute_0_2003]) ).
cnf(refute_0_2005,plain,
converse(join(one,complement(composition(complement(one),complement(composition(top,complement(one))))))) = converse(complement(composition(complement(one),complement(composition(top,complement(one)))))),
inference(resolve,[$cnf( $equal(join(one,complement(composition(complement(one),complement(composition(top,complement(one)))))),complement(composition(complement(one),complement(composition(top,complement(one)))))) )],[refute_0_1937,refute_0_2004]) ).
cnf(refute_0_2006,plain,
( converse(complement(composition(complement(one),complement(composition(top,complement(one)))))) != complement(composition(complement(composition(complement(one),top)),complement(one)))
| converse(join(one,complement(composition(complement(one),complement(composition(top,complement(one))))))) != converse(complement(composition(complement(one),complement(composition(top,complement(one))))))
| converse(join(one,complement(composition(complement(one),complement(composition(top,complement(one))))))) = complement(composition(complement(composition(complement(one),top)),complement(one))) ),
inference(subst,[],[refute_0_71:[bind(X,$fot(converse(join(one,complement(composition(complement(one),complement(composition(top,complement(one))))))))),bind(Y,$fot(converse(complement(composition(complement(one),complement(composition(top,complement(one)))))))),bind(Z,$fot(complement(composition(complement(composition(complement(one),top)),complement(one)))))]]) ).
cnf(refute_0_2007,plain,
( converse(complement(composition(complement(one),complement(composition(top,complement(one)))))) != complement(composition(complement(composition(complement(one),top)),complement(one)))
| converse(join(one,complement(composition(complement(one),complement(composition(top,complement(one))))))) = complement(composition(complement(composition(complement(one),top)),complement(one))) ),
inference(resolve,[$cnf( $equal(converse(join(one,complement(composition(complement(one),complement(composition(top,complement(one))))))),converse(complement(composition(complement(one),complement(composition(top,complement(one))))))) )],[refute_0_2005,refute_0_2006]) ).
cnf(refute_0_2008,plain,
converse(join(one,complement(composition(complement(one),complement(composition(top,complement(one))))))) = complement(composition(complement(composition(complement(one),top)),complement(one))),
inference(resolve,[$cnf( $equal(converse(complement(composition(complement(one),complement(composition(top,complement(one)))))),complement(composition(complement(composition(complement(one),top)),complement(one)))) )],[refute_0_2001,refute_0_2007]) ).
cnf(refute_0_2009,plain,
composition(converse(join(one,complement(composition(complement(one),complement(composition(top,complement(one))))))),complement(complement(composition(complement(one),complement(composition(top,complement(one))))))) = composition(converse(join(one,complement(composition(complement(one),complement(composition(top,complement(one))))))),complement(complement(composition(complement(one),complement(composition(top,complement(one))))))),
introduced(tautology,[refl,[$fot(composition(converse(join(one,complement(composition(complement(one),complement(composition(top,complement(one))))))),complement(complement(composition(complement(one),complement(composition(top,complement(one))))))))]]) ).
cnf(refute_0_2010,plain,
( composition(converse(join(one,complement(composition(complement(one),complement(composition(top,complement(one))))))),complement(complement(composition(complement(one),complement(composition(top,complement(one))))))) != composition(converse(join(one,complement(composition(complement(one),complement(composition(top,complement(one))))))),complement(complement(composition(complement(one),complement(composition(top,complement(one)))))))
| converse(join(one,complement(composition(complement(one),complement(composition(top,complement(one))))))) != complement(composition(complement(composition(complement(one),top)),complement(one)))
| composition(converse(join(one,complement(composition(complement(one),complement(composition(top,complement(one))))))),complement(complement(composition(complement(one),complement(composition(top,complement(one))))))) = composition(complement(composition(complement(composition(complement(one),top)),complement(one))),complement(complement(composition(complement(one),complement(composition(top,complement(one))))))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(join(one,complement(composition(complement(one),complement(composition(top,complement(one))))))),complement(complement(composition(complement(one),complement(composition(top,complement(one))))))),composition(converse(join(one,complement(composition(complement(one),complement(composition(top,complement(one))))))),complement(complement(composition(complement(one),complement(composition(top,complement(one)))))))) ),[1,0],$fot(complement(composition(complement(composition(complement(one),top)),complement(one))))]]) ).
cnf(refute_0_2011,plain,
( converse(join(one,complement(composition(complement(one),complement(composition(top,complement(one))))))) != complement(composition(complement(composition(complement(one),top)),complement(one)))
| composition(converse(join(one,complement(composition(complement(one),complement(composition(top,complement(one))))))),complement(complement(composition(complement(one),complement(composition(top,complement(one))))))) = composition(complement(composition(complement(composition(complement(one),top)),complement(one))),complement(complement(composition(complement(one),complement(composition(top,complement(one))))))) ),
inference(resolve,[$cnf( $equal(composition(converse(join(one,complement(composition(complement(one),complement(composition(top,complement(one))))))),complement(complement(composition(complement(one),complement(composition(top,complement(one))))))),composition(converse(join(one,complement(composition(complement(one),complement(composition(top,complement(one))))))),complement(complement(composition(complement(one),complement(composition(top,complement(one)))))))) )],[refute_0_2009,refute_0_2010]) ).
cnf(refute_0_2012,plain,
composition(converse(join(one,complement(composition(complement(one),complement(composition(top,complement(one))))))),complement(complement(composition(complement(one),complement(composition(top,complement(one))))))) = composition(complement(composition(complement(composition(complement(one),top)),complement(one))),complement(complement(composition(complement(one),complement(composition(top,complement(one))))))),
inference(resolve,[$cnf( $equal(converse(join(one,complement(composition(complement(one),complement(composition(top,complement(one))))))),complement(composition(complement(composition(complement(one),top)),complement(one)))) )],[refute_0_2008,refute_0_2011]) ).
cnf(refute_0_2013,plain,
( composition(complement(composition(complement(composition(complement(one),top)),complement(one))),complement(complement(composition(complement(one),complement(composition(top,complement(one))))))) != composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one)))))
| composition(converse(join(one,complement(composition(complement(one),complement(composition(top,complement(one))))))),complement(complement(composition(complement(one),complement(composition(top,complement(one))))))) != composition(complement(composition(complement(composition(complement(one),top)),complement(one))),complement(complement(composition(complement(one),complement(composition(top,complement(one)))))))
| composition(converse(join(one,complement(composition(complement(one),complement(composition(top,complement(one))))))),complement(complement(composition(complement(one),complement(composition(top,complement(one))))))) = composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one))))) ),
inference(subst,[],[refute_0_71:[bind(X,$fot(composition(converse(join(one,complement(composition(complement(one),complement(composition(top,complement(one))))))),complement(complement(composition(complement(one),complement(composition(top,complement(one))))))))),bind(Y,$fot(composition(complement(composition(complement(composition(complement(one),top)),complement(one))),complement(complement(composition(complement(one),complement(composition(top,complement(one))))))))),bind(Z,$fot(composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one)))))))]]) ).
cnf(refute_0_2014,plain,
( composition(complement(composition(complement(composition(complement(one),top)),complement(one))),complement(complement(composition(complement(one),complement(composition(top,complement(one))))))) != composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one)))))
| composition(converse(join(one,complement(composition(complement(one),complement(composition(top,complement(one))))))),complement(complement(composition(complement(one),complement(composition(top,complement(one))))))) = composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one))))) ),
inference(resolve,[$cnf( $equal(composition(converse(join(one,complement(composition(complement(one),complement(composition(top,complement(one))))))),complement(complement(composition(complement(one),complement(composition(top,complement(one))))))),composition(complement(composition(complement(composition(complement(one),top)),complement(one))),complement(complement(composition(complement(one),complement(composition(top,complement(one)))))))) )],[refute_0_2012,refute_0_2013]) ).
cnf(refute_0_2015,plain,
composition(converse(join(one,complement(composition(complement(one),complement(composition(top,complement(one))))))),complement(complement(composition(complement(one),complement(composition(top,complement(one))))))) = composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one))))),
inference(resolve,[$cnf( $equal(composition(complement(composition(complement(composition(complement(one),top)),complement(one))),complement(complement(composition(complement(one),complement(composition(top,complement(one))))))),composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one)))))) )],[refute_0_1945,refute_0_2014]) ).
cnf(refute_0_2016,plain,
converse(composition(converse(X0),join(X_30,X_31))) = composition(converse(join(X_30,X_31)),X0),
inference(subst,[],[refute_0_141:[bind(X_18,$fot(join(X_30,X_31)))]]) ).
cnf(refute_0_2017,plain,
( converse(composition(converse(X0),join(X_30,X_31))) != composition(converse(join(X_30,X_31)),X0)
| converse(join(X_30,X_31)) != converse(join(X_31,X_30))
| converse(composition(converse(X0),join(X_30,X_31))) = composition(converse(join(X_31,X_30)),X0) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(X0),join(X_30,X_31))),composition(converse(join(X_30,X_31)),X0)) ),[1,0],$fot(converse(join(X_31,X_30)))]]) ).
cnf(refute_0_2018,plain,
( converse(composition(converse(X0),join(X_30,X_31))) != composition(converse(join(X_30,X_31)),X0)
| converse(composition(converse(X0),join(X_30,X_31))) = composition(converse(join(X_31,X_30)),X0) ),
inference(resolve,[$cnf( $equal(converse(join(X_30,X_31)),converse(join(X_31,X_30))) )],[refute_0_269,refute_0_2017]) ).
cnf(refute_0_2019,plain,
converse(composition(converse(X0),join(X_30,X_31))) = composition(converse(join(X_31,X_30)),X0),
inference(resolve,[$cnf( $equal(converse(composition(converse(X0),join(X_30,X_31))),composition(converse(join(X_30,X_31)),X0)) )],[refute_0_2016,refute_0_2018]) ).
cnf(refute_0_2020,plain,
( converse(composition(converse(X0),join(X_30,X_31))) != composition(converse(join(X_30,X_31)),X0)
| converse(composition(converse(X0),join(X_30,X_31))) != composition(converse(join(X_31,X_30)),X0)
| composition(converse(join(X_30,X_31)),X0) = composition(converse(join(X_31,X_30)),X0) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(X0),join(X_30,X_31))),composition(converse(join(X_31,X_30)),X0)) ),[0],$fot(composition(converse(join(X_30,X_31)),X0))]]) ).
cnf(refute_0_2021,plain,
( converse(composition(converse(X0),join(X_30,X_31))) != composition(converse(join(X_31,X_30)),X0)
| composition(converse(join(X_30,X_31)),X0) = composition(converse(join(X_31,X_30)),X0) ),
inference(resolve,[$cnf( $equal(converse(composition(converse(X0),join(X_30,X_31))),composition(converse(join(X_30,X_31)),X0)) )],[refute_0_2016,refute_0_2020]) ).
cnf(refute_0_2022,plain,
composition(converse(join(X_30,X_31)),X0) = composition(converse(join(X_31,X_30)),X0),
inference(resolve,[$cnf( $equal(converse(composition(converse(X0),join(X_30,X_31))),composition(converse(join(X_31,X_30)),X0)) )],[refute_0_2019,refute_0_2021]) ).
cnf(refute_0_2023,plain,
( composition(converse(join(X_30,X_31)),X0) != composition(converse(join(X_31,X_30)),X0)
| composition(converse(join(X_31,X_30)),X0) = composition(converse(join(X_30,X_31)),X0) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(composition(converse(join(X_30,X_31)),X0))),bind(Y,$fot(composition(converse(join(X_31,X_30)),X0)))]]) ).
cnf(refute_0_2024,plain,
composition(converse(join(X_31,X_30)),X0) = composition(converse(join(X_30,X_31)),X0),
inference(resolve,[$cnf( $equal(composition(converse(join(X_30,X_31)),X0),composition(converse(join(X_31,X_30)),X0)) )],[refute_0_2022,refute_0_2023]) ).
cnf(refute_0_2025,plain,
composition(converse(join(complement(composition(complement(one),complement(composition(top,complement(one))))),one)),complement(complement(composition(complement(one),complement(composition(top,complement(one))))))) = composition(converse(join(one,complement(composition(complement(one),complement(composition(top,complement(one))))))),complement(complement(composition(complement(one),complement(composition(top,complement(one))))))),
inference(subst,[],[refute_0_2024:[bind(X0,$fot(complement(complement(composition(complement(one),complement(composition(top,complement(one)))))))),bind(X_30,$fot(one)),bind(X_31,$fot(complement(composition(complement(one),complement(composition(top,complement(one)))))))]]) ).
cnf(refute_0_2026,plain,
( composition(converse(join(complement(composition(complement(one),complement(composition(top,complement(one))))),one)),complement(complement(composition(complement(one),complement(composition(top,complement(one))))))) != composition(converse(join(one,complement(composition(complement(one),complement(composition(top,complement(one))))))),complement(complement(composition(complement(one),complement(composition(top,complement(one)))))))
| composition(converse(join(one,complement(composition(complement(one),complement(composition(top,complement(one))))))),complement(complement(composition(complement(one),complement(composition(top,complement(one))))))) != composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one)))))
| composition(converse(join(complement(composition(complement(one),complement(composition(top,complement(one))))),one)),complement(complement(composition(complement(one),complement(composition(top,complement(one))))))) = composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one))))) ),
inference(subst,[],[refute_0_71:[bind(X,$fot(composition(converse(join(complement(composition(complement(one),complement(composition(top,complement(one))))),one)),complement(complement(composition(complement(one),complement(composition(top,complement(one))))))))),bind(Y,$fot(composition(converse(join(one,complement(composition(complement(one),complement(composition(top,complement(one))))))),complement(complement(composition(complement(one),complement(composition(top,complement(one))))))))),bind(Z,$fot(composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one)))))))]]) ).
cnf(refute_0_2027,plain,
( composition(converse(join(one,complement(composition(complement(one),complement(composition(top,complement(one))))))),complement(complement(composition(complement(one),complement(composition(top,complement(one))))))) != composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one)))))
| composition(converse(join(complement(composition(complement(one),complement(composition(top,complement(one))))),one)),complement(complement(composition(complement(one),complement(composition(top,complement(one))))))) = composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one))))) ),
inference(resolve,[$cnf( $equal(composition(converse(join(complement(composition(complement(one),complement(composition(top,complement(one))))),one)),complement(complement(composition(complement(one),complement(composition(top,complement(one))))))),composition(converse(join(one,complement(composition(complement(one),complement(composition(top,complement(one))))))),complement(complement(composition(complement(one),complement(composition(top,complement(one)))))))) )],[refute_0_2025,refute_0_2026]) ).
cnf(refute_0_2028,plain,
composition(converse(join(complement(composition(complement(one),complement(composition(top,complement(one))))),one)),complement(complement(composition(complement(one),complement(composition(top,complement(one))))))) = composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one))))),
inference(resolve,[$cnf( $equal(composition(converse(join(one,complement(composition(complement(one),complement(composition(top,complement(one))))))),complement(complement(composition(complement(one),complement(composition(top,complement(one))))))),composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one)))))) )],[refute_0_2015,refute_0_2027]) ).
cnf(refute_0_2029,plain,
join(complement(one),composition(converse(join(complement(composition(complement(one),complement(composition(top,complement(one))))),one)),complement(complement(composition(complement(one),complement(composition(top,complement(one)))))))) = join(complement(one),composition(converse(join(complement(composition(complement(one),complement(composition(top,complement(one))))),one)),complement(complement(composition(complement(one),complement(composition(top,complement(one)))))))),
introduced(tautology,[refl,[$fot(join(complement(one),composition(converse(join(complement(composition(complement(one),complement(composition(top,complement(one))))),one)),complement(complement(composition(complement(one),complement(composition(top,complement(one)))))))))]]) ).
cnf(refute_0_2030,plain,
( composition(converse(join(complement(composition(complement(one),complement(composition(top,complement(one))))),one)),complement(complement(composition(complement(one),complement(composition(top,complement(one))))))) != composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one)))))
| join(complement(one),composition(converse(join(complement(composition(complement(one),complement(composition(top,complement(one))))),one)),complement(complement(composition(complement(one),complement(composition(top,complement(one)))))))) != join(complement(one),composition(converse(join(complement(composition(complement(one),complement(composition(top,complement(one))))),one)),complement(complement(composition(complement(one),complement(composition(top,complement(one))))))))
| join(complement(one),composition(converse(join(complement(composition(complement(one),complement(composition(top,complement(one))))),one)),complement(complement(composition(complement(one),complement(composition(top,complement(one)))))))) = join(complement(one),composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),composition(converse(join(complement(composition(complement(one),complement(composition(top,complement(one))))),one)),complement(complement(composition(complement(one),complement(composition(top,complement(one)))))))),join(complement(one),composition(converse(join(complement(composition(complement(one),complement(composition(top,complement(one))))),one)),complement(complement(composition(complement(one),complement(composition(top,complement(one))))))))) ),[1,1],$fot(composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one))))))]]) ).
cnf(refute_0_2031,plain,
( composition(converse(join(complement(composition(complement(one),complement(composition(top,complement(one))))),one)),complement(complement(composition(complement(one),complement(composition(top,complement(one))))))) != composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one)))))
| join(complement(one),composition(converse(join(complement(composition(complement(one),complement(composition(top,complement(one))))),one)),complement(complement(composition(complement(one),complement(composition(top,complement(one)))))))) = join(complement(one),composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one)))))) ),
inference(resolve,[$cnf( $equal(join(complement(one),composition(converse(join(complement(composition(complement(one),complement(composition(top,complement(one))))),one)),complement(complement(composition(complement(one),complement(composition(top,complement(one)))))))),join(complement(one),composition(converse(join(complement(composition(complement(one),complement(composition(top,complement(one))))),one)),complement(complement(composition(complement(one),complement(composition(top,complement(one))))))))) )],[refute_0_2029,refute_0_2030]) ).
cnf(refute_0_2032,plain,
join(complement(one),composition(converse(join(complement(composition(complement(one),complement(composition(top,complement(one))))),one)),complement(complement(composition(complement(one),complement(composition(top,complement(one)))))))) = join(complement(one),composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one)))))),
inference(resolve,[$cnf( $equal(composition(converse(join(complement(composition(complement(one),complement(composition(top,complement(one))))),one)),complement(complement(composition(complement(one),complement(composition(top,complement(one))))))),composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one)))))) )],[refute_0_2028,refute_0_2031]) ).
cnf(refute_0_2033,plain,
( join(complement(one),composition(converse(join(complement(composition(complement(one),complement(composition(top,complement(one))))),one)),complement(complement(composition(complement(one),complement(composition(top,complement(one)))))))) != complement(one)
| join(complement(one),composition(converse(join(complement(composition(complement(one),complement(composition(top,complement(one))))),one)),complement(complement(composition(complement(one),complement(composition(top,complement(one)))))))) != join(complement(one),composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one))))))
| join(complement(one),composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one)))))) = complement(one) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(one),composition(converse(join(complement(composition(complement(one),complement(composition(top,complement(one))))),one)),complement(complement(composition(complement(one),complement(composition(top,complement(one)))))))),complement(one)) ),[0],$fot(join(complement(one),composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one)))))))]]) ).
cnf(refute_0_2034,plain,
( join(complement(one),composition(converse(join(complement(composition(complement(one),complement(composition(top,complement(one))))),one)),complement(complement(composition(complement(one),complement(composition(top,complement(one)))))))) != complement(one)
| join(complement(one),composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one)))))) = complement(one) ),
inference(resolve,[$cnf( $equal(join(complement(one),composition(converse(join(complement(composition(complement(one),complement(composition(top,complement(one))))),one)),complement(complement(composition(complement(one),complement(composition(top,complement(one)))))))),join(complement(one),composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one))))))) )],[refute_0_2032,refute_0_2033]) ).
cnf(refute_0_2035,plain,
join(complement(one),composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one)))))) = complement(one),
inference(resolve,[$cnf( $equal(join(complement(one),composition(converse(join(complement(composition(complement(one),complement(composition(top,complement(one))))),one)),complement(complement(composition(complement(one),complement(composition(top,complement(one)))))))),complement(one)) )],[refute_0_1940,refute_0_2034]) ).
cnf(refute_0_2036,plain,
( composition(converse(join(composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one))))),complement(one))),complement(composition(join(complement(one),composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one)))))),top))) != zero
| join(complement(one),composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one)))))) != complement(one)
| composition(converse(join(composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one))))),complement(one))),complement(composition(complement(one),top))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(join(composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one))))),complement(one))),complement(composition(join(complement(one),composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one)))))),top))),zero) ),[0,1,0,0],$fot(complement(one))]]) ).
cnf(refute_0_2037,plain,
( composition(converse(join(composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one))))),complement(one))),complement(composition(join(complement(one),composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one)))))),top))) != zero
| composition(converse(join(composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one))))),complement(one))),complement(composition(complement(one),top))) = zero ),
inference(resolve,[$cnf( $equal(join(complement(one),composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one)))))),complement(one)) )],[refute_0_2035,refute_0_2036]) ).
cnf(refute_0_2038,plain,
composition(converse(join(composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one))))),complement(one))),complement(composition(complement(one),top))) = zero,
inference(resolve,[$cnf( $equal(composition(converse(join(composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one))))),complement(one))),complement(composition(join(complement(one),composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one)))))),top))),zero) )],[refute_0_1139,refute_0_2037]) ).
cnf(refute_0_2039,plain,
converse(composition(converse(complement(composition(complement(one),top))),X_18)) = composition(converse(X_18),complement(composition(complement(one),top))),
inference(subst,[],[refute_0_141:[bind(X0,$fot(complement(composition(complement(one),top))))]]) ).
cnf(refute_0_2040,plain,
( converse(complement(composition(complement(one),top))) != complement(composition(top,complement(one)))
| converse(composition(converse(complement(composition(complement(one),top))),X_18)) != composition(converse(X_18),complement(composition(complement(one),top)))
| converse(composition(complement(composition(top,complement(one))),X_18)) = composition(converse(X_18),complement(composition(complement(one),top))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(complement(composition(complement(one),top))),X_18)),composition(converse(X_18),complement(composition(complement(one),top)))) ),[0,0,0],$fot(complement(composition(top,complement(one))))]]) ).
cnf(refute_0_2041,plain,
( converse(composition(converse(complement(composition(complement(one),top))),X_18)) != composition(converse(X_18),complement(composition(complement(one),top)))
| converse(composition(complement(composition(top,complement(one))),X_18)) = composition(converse(X_18),complement(composition(complement(one),top))) ),
inference(resolve,[$cnf( $equal(converse(complement(composition(complement(one),top))),complement(composition(top,complement(one)))) )],[refute_0_1987,refute_0_2040]) ).
cnf(refute_0_2042,plain,
converse(composition(complement(composition(top,complement(one))),X_18)) = composition(converse(X_18),complement(composition(complement(one),top))),
inference(resolve,[$cnf( $equal(converse(composition(converse(complement(composition(complement(one),top))),X_18)),composition(converse(X_18),complement(composition(complement(one),top)))) )],[refute_0_2039,refute_0_2041]) ).
cnf(refute_0_2043,plain,
( converse(composition(complement(composition(top,complement(one))),X_18)) != composition(converse(X_18),complement(composition(complement(one),top)))
| composition(converse(X_18),complement(composition(complement(one),top))) = converse(composition(complement(composition(top,complement(one))),X_18)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(converse(composition(complement(composition(top,complement(one))),X_18)))),bind(Y,$fot(composition(converse(X_18),complement(composition(complement(one),top)))))]]) ).
cnf(refute_0_2044,plain,
composition(converse(X_18),complement(composition(complement(one),top))) = converse(composition(complement(composition(top,complement(one))),X_18)),
inference(resolve,[$cnf( $equal(converse(composition(complement(composition(top,complement(one))),X_18)),composition(converse(X_18),complement(composition(complement(one),top)))) )],[refute_0_2042,refute_0_2043]) ).
cnf(refute_0_2045,plain,
composition(converse(composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one)))))),complement(composition(complement(one),top))) = converse(composition(complement(composition(top,complement(one))),composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one))))))),
inference(subst,[],[refute_0_2044:[bind(X_18,$fot(composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one)))))))]]) ).
cnf(refute_0_2046,plain,
composition(join(X_107,converse(X_50)),complement(composition(X_50,top))) = join(composition(X_107,complement(composition(X_50,top))),composition(converse(X_50),complement(composition(X_50,top)))),
inference(subst,[],[refute_0_1165:[bind(X0,$fot(X_107)),bind(X1,$fot(converse(X_50))),bind(X2,$fot(complement(composition(X_50,top))))]]) ).
cnf(refute_0_2047,plain,
( composition(converse(X_50),complement(composition(X_50,top))) != zero
| composition(join(X_107,converse(X_50)),complement(composition(X_50,top))) != join(composition(X_107,complement(composition(X_50,top))),composition(converse(X_50),complement(composition(X_50,top))))
| composition(join(X_107,converse(X_50)),complement(composition(X_50,top))) = join(composition(X_107,complement(composition(X_50,top))),zero) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X_107,converse(X_50)),complement(composition(X_50,top))),join(composition(X_107,complement(composition(X_50,top))),composition(converse(X_50),complement(composition(X_50,top))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_2048,plain,
( composition(join(X_107,converse(X_50)),complement(composition(X_50,top))) != join(composition(X_107,complement(composition(X_50,top))),composition(converse(X_50),complement(composition(X_50,top))))
| composition(join(X_107,converse(X_50)),complement(composition(X_50,top))) = join(composition(X_107,complement(composition(X_50,top))),zero) ),
inference(resolve,[$cnf( $equal(composition(converse(X_50),complement(composition(X_50,top))),zero) )],[refute_0_1464,refute_0_2047]) ).
cnf(refute_0_2049,plain,
composition(join(X_107,converse(X_50)),complement(composition(X_50,top))) = join(composition(X_107,complement(composition(X_50,top))),zero),
inference(resolve,[$cnf( $equal(composition(join(X_107,converse(X_50)),complement(composition(X_50,top))),join(composition(X_107,complement(composition(X_50,top))),composition(converse(X_50),complement(composition(X_50,top))))) )],[refute_0_2046,refute_0_2048]) ).
cnf(refute_0_2050,plain,
join(composition(X_107,complement(composition(X_50,top))),zero) = composition(X_107,complement(composition(X_50,top))),
inference(subst,[],[refute_0_816:[bind(X_75,$fot(composition(X_107,complement(composition(X_50,top)))))]]) ).
cnf(refute_0_2051,plain,
( composition(join(X_107,converse(X_50)),complement(composition(X_50,top))) != join(composition(X_107,complement(composition(X_50,top))),zero)
| join(composition(X_107,complement(composition(X_50,top))),zero) != composition(X_107,complement(composition(X_50,top)))
| composition(join(X_107,converse(X_50)),complement(composition(X_50,top))) = composition(X_107,complement(composition(X_50,top))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(X_107,converse(X_50)),complement(composition(X_50,top))),composition(X_107,complement(composition(X_50,top)))) ),[0],$fot(join(composition(X_107,complement(composition(X_50,top))),zero))]]) ).
cnf(refute_0_2052,plain,
( composition(join(X_107,converse(X_50)),complement(composition(X_50,top))) != join(composition(X_107,complement(composition(X_50,top))),zero)
| composition(join(X_107,converse(X_50)),complement(composition(X_50,top))) = composition(X_107,complement(composition(X_50,top))) ),
inference(resolve,[$cnf( $equal(join(composition(X_107,complement(composition(X_50,top))),zero),composition(X_107,complement(composition(X_50,top)))) )],[refute_0_2050,refute_0_2051]) ).
cnf(refute_0_2053,plain,
composition(join(X_107,converse(X_50)),complement(composition(X_50,top))) = composition(X_107,complement(composition(X_50,top))),
inference(resolve,[$cnf( $equal(composition(join(X_107,converse(X_50)),complement(composition(X_50,top))),join(composition(X_107,complement(composition(X_50,top))),zero)) )],[refute_0_2049,refute_0_2052]) ).
cnf(refute_0_2054,plain,
composition(join(converse(X0),converse(X_182)),complement(composition(X_182,top))) = composition(converse(X0),complement(composition(X_182,top))),
inference(subst,[],[refute_0_2053:[bind(X_107,$fot(converse(X0))),bind(X_50,$fot(X_182))]]) ).
cnf(refute_0_2055,plain,
converse(join(X0,X_182)) = join(converse(X0),converse(X_182)),
inference(subst,[],[refute_0_11:[bind(X1,$fot(X_182))]]) ).
cnf(refute_0_2056,plain,
( converse(join(X0,X_182)) != join(converse(X0),converse(X_182))
| join(converse(X0),converse(X_182)) = converse(join(X0,X_182)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(converse(join(X0,X_182)))),bind(Y,$fot(join(converse(X0),converse(X_182))))]]) ).
cnf(refute_0_2057,plain,
join(converse(X0),converse(X_182)) = converse(join(X0,X_182)),
inference(resolve,[$cnf( $equal(converse(join(X0,X_182)),join(converse(X0),converse(X_182))) )],[refute_0_2055,refute_0_2056]) ).
cnf(refute_0_2058,plain,
( composition(join(converse(X0),converse(X_182)),complement(composition(X_182,top))) != composition(converse(X0),complement(composition(X_182,top)))
| join(converse(X0),converse(X_182)) != converse(join(X0,X_182))
| composition(converse(join(X0,X_182)),complement(composition(X_182,top))) = composition(converse(X0),complement(composition(X_182,top))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(converse(X0),converse(X_182)),complement(composition(X_182,top))),composition(converse(X0),complement(composition(X_182,top)))) ),[0,0],$fot(converse(join(X0,X_182)))]]) ).
cnf(refute_0_2059,plain,
( composition(join(converse(X0),converse(X_182)),complement(composition(X_182,top))) != composition(converse(X0),complement(composition(X_182,top)))
| composition(converse(join(X0,X_182)),complement(composition(X_182,top))) = composition(converse(X0),complement(composition(X_182,top))) ),
inference(resolve,[$cnf( $equal(join(converse(X0),converse(X_182)),converse(join(X0,X_182))) )],[refute_0_2057,refute_0_2058]) ).
cnf(refute_0_2060,plain,
composition(converse(join(X0,X_182)),complement(composition(X_182,top))) = composition(converse(X0),complement(composition(X_182,top))),
inference(resolve,[$cnf( $equal(composition(join(converse(X0),converse(X_182)),complement(composition(X_182,top))),composition(converse(X0),complement(composition(X_182,top)))) )],[refute_0_2054,refute_0_2059]) ).
cnf(refute_0_2061,plain,
composition(converse(join(composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one))))),complement(one))),complement(composition(complement(one),top))) = composition(converse(composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one)))))),complement(composition(complement(one),top))),
inference(subst,[],[refute_0_2060:[bind(X0,$fot(composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one))))))),bind(X_182,$fot(complement(one)))]]) ).
cnf(refute_0_2062,plain,
( composition(converse(composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one)))))),complement(composition(complement(one),top))) != converse(composition(complement(composition(top,complement(one))),composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one)))))))
| composition(converse(join(composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one))))),complement(one))),complement(composition(complement(one),top))) != composition(converse(composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one)))))),complement(composition(complement(one),top)))
| composition(converse(join(composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one))))),complement(one))),complement(composition(complement(one),top))) = converse(composition(complement(composition(top,complement(one))),composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one))))))) ),
inference(subst,[],[refute_0_71:[bind(X,$fot(composition(converse(join(composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one))))),complement(one))),complement(composition(complement(one),top))))),bind(Y,$fot(composition(converse(composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one)))))),complement(composition(complement(one),top))))),bind(Z,$fot(converse(composition(complement(composition(top,complement(one))),composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one)))))))))]]) ).
cnf(refute_0_2063,plain,
( composition(converse(composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one)))))),complement(composition(complement(one),top))) != converse(composition(complement(composition(top,complement(one))),composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one)))))))
| composition(converse(join(composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one))))),complement(one))),complement(composition(complement(one),top))) = converse(composition(complement(composition(top,complement(one))),composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one))))))) ),
inference(resolve,[$cnf( $equal(composition(converse(join(composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one))))),complement(one))),complement(composition(complement(one),top))),composition(converse(composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one)))))),complement(composition(complement(one),top)))) )],[refute_0_2061,refute_0_2062]) ).
cnf(refute_0_2064,plain,
composition(converse(join(composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one))))),complement(one))),complement(composition(complement(one),top))) = converse(composition(complement(composition(top,complement(one))),composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one))))))),
inference(resolve,[$cnf( $equal(composition(converse(composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one)))))),complement(composition(complement(one),top))),converse(composition(complement(composition(top,complement(one))),composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one)))))))) )],[refute_0_2045,refute_0_2063]) ).
cnf(refute_0_2065,plain,
( composition(converse(join(composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one))))),complement(one))),complement(composition(complement(one),top))) != converse(composition(complement(composition(top,complement(one))),composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one)))))))
| composition(converse(join(composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one))))),complement(one))),complement(composition(complement(one),top))) != zero
| converse(composition(complement(composition(top,complement(one))),composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one))))))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(join(composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one))))),complement(one))),complement(composition(complement(one),top))),zero) ),[0],$fot(converse(composition(complement(composition(top,complement(one))),composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one))))))))]]) ).
cnf(refute_0_2066,plain,
( composition(converse(join(composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one))))),complement(one))),complement(composition(complement(one),top))) != zero
| converse(composition(complement(composition(top,complement(one))),composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one))))))) = zero ),
inference(resolve,[$cnf( $equal(composition(converse(join(composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one))))),complement(one))),complement(composition(complement(one),top))),converse(composition(complement(composition(top,complement(one))),composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one)))))))) )],[refute_0_2064,refute_0_2065]) ).
cnf(refute_0_2067,plain,
converse(composition(complement(composition(top,complement(one))),composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one))))))) = zero,
inference(resolve,[$cnf( $equal(composition(converse(join(composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one))))),complement(one))),complement(composition(complement(one),top))),zero) )],[refute_0_2038,refute_0_2066]) ).
cnf(refute_0_2068,plain,
( converse(composition(complement(composition(top,complement(one))),composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one))))))) != zero
| join(converse(join(X0,composition(complement(composition(top,complement(one))),composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one)))))))),X_6) != join(converse(X0),join(converse(composition(complement(composition(top,complement(one))),composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one))))))),X_6))
| join(converse(join(X0,composition(complement(composition(top,complement(one))),composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one)))))))),X_6) = join(converse(X0),join(zero,X_6)) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(join(X0,composition(complement(composition(top,complement(one))),composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one)))))))),X_6),join(converse(X0),join(converse(composition(complement(composition(top,complement(one))),composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one))))))),X_6))) ),[1,1,0],$fot(zero)]]) ).
cnf(refute_0_2069,plain,
( join(converse(join(X0,composition(complement(composition(top,complement(one))),composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one)))))))),X_6) != join(converse(X0),join(converse(composition(complement(composition(top,complement(one))),composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one))))))),X_6))
| join(converse(join(X0,composition(complement(composition(top,complement(one))),composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one)))))))),X_6) = join(converse(X0),join(zero,X_6)) ),
inference(resolve,[$cnf( $equal(converse(composition(complement(composition(top,complement(one))),composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one))))))),zero) )],[refute_0_2067,refute_0_2068]) ).
cnf(refute_0_2070,plain,
join(converse(join(X0,composition(complement(composition(top,complement(one))),composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one)))))))),X_6) = join(converse(X0),join(zero,X_6)),
inference(resolve,[$cnf( $equal(join(converse(join(X0,composition(complement(composition(top,complement(one))),composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one)))))))),X_6),join(converse(X0),join(converse(composition(complement(composition(top,complement(one))),composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one))))))),X_6))) )],[refute_0_1121,refute_0_2069]) ).
cnf(refute_0_2071,plain,
join(zero,join(X_6,converse(X0))) = join(X_6,converse(X0)),
inference(subst,[],[refute_0_396:[bind(X_75,$fot(join(X_6,converse(X0))))]]) ).
cnf(refute_0_2072,plain,
join(X_74,complement(X_73)) = join(complement(X_73),X_74),
inference(subst,[],[refute_0_1:[bind(X0,$fot(X_74)),bind(X1,$fot(complement(X_73)))]]) ).
cnf(refute_0_2073,plain,
( join(X_74,complement(X_73)) != join(complement(X_73),X_74)
| join(complement(X_73),X_74) = join(X_74,complement(X_73)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(X_74,complement(X_73)))),bind(Y,$fot(join(complement(X_73),X_74)))]]) ).
cnf(refute_0_2074,plain,
join(complement(X_73),X_74) = join(X_74,complement(X_73)),
inference(resolve,[$cnf( $equal(join(X_74,complement(X_73)),join(complement(X_73),X_74)) )],[refute_0_2072,refute_0_2073]) ).
cnf(refute_0_2075,plain,
( X_73 != join(meet(X_73,X_74),complement(join(complement(X_73),X_74)))
| join(complement(X_73),X_74) != join(X_74,complement(X_73))
| X_73 = join(meet(X_73,X_74),complement(join(X_74,complement(X_73)))) ),
introduced(tautology,[equality,[$cnf( $equal(X_73,join(meet(X_73,X_74),complement(join(complement(X_73),X_74)))) ),[1,1,0],$fot(join(X_74,complement(X_73)))]]) ).
cnf(refute_0_2076,plain,
( X_73 != join(meet(X_73,X_74),complement(join(complement(X_73),X_74)))
| X_73 = join(meet(X_73,X_74),complement(join(X_74,complement(X_73)))) ),
inference(resolve,[$cnf( $equal(join(complement(X_73),X_74),join(X_74,complement(X_73))) )],[refute_0_2074,refute_0_2075]) ).
cnf(refute_0_2077,plain,
X_73 = join(meet(X_73,X_74),complement(join(X_74,complement(X_73)))),
inference(resolve,[$cnf( $equal(X_73,join(meet(X_73,X_74),complement(join(complement(X_73),X_74)))) )],[refute_0_78,refute_0_2076]) ).
cnf(refute_0_2078,plain,
complement(join(X_74,complement(X_73))) = meet(complement(X_74),X_73),
inference(subst,[],[refute_0_703:[bind(X1,$fot(X_73)),bind(X_16,$fot(X_74))]]) ).
cnf(refute_0_2079,plain,
join(meet(X_73,X_74),complement(join(X_74,complement(X_73)))) = join(meet(X_73,X_74),complement(join(X_74,complement(X_73)))),
introduced(tautology,[refl,[$fot(join(meet(X_73,X_74),complement(join(X_74,complement(X_73)))))]]) ).
cnf(refute_0_2080,plain,
( complement(join(X_74,complement(X_73))) != meet(complement(X_74),X_73)
| join(meet(X_73,X_74),complement(join(X_74,complement(X_73)))) != join(meet(X_73,X_74),complement(join(X_74,complement(X_73))))
| join(meet(X_73,X_74),complement(join(X_74,complement(X_73)))) = join(meet(X_73,X_74),meet(complement(X_74),X_73)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_73,X_74),complement(join(X_74,complement(X_73)))),join(meet(X_73,X_74),complement(join(X_74,complement(X_73))))) ),[1,1],$fot(meet(complement(X_74),X_73))]]) ).
cnf(refute_0_2081,plain,
( complement(join(X_74,complement(X_73))) != meet(complement(X_74),X_73)
| join(meet(X_73,X_74),complement(join(X_74,complement(X_73)))) = join(meet(X_73,X_74),meet(complement(X_74),X_73)) ),
inference(resolve,[$cnf( $equal(join(meet(X_73,X_74),complement(join(X_74,complement(X_73)))),join(meet(X_73,X_74),complement(join(X_74,complement(X_73))))) )],[refute_0_2079,refute_0_2080]) ).
cnf(refute_0_2082,plain,
join(meet(X_73,X_74),complement(join(X_74,complement(X_73)))) = join(meet(X_73,X_74),meet(complement(X_74),X_73)),
inference(resolve,[$cnf( $equal(complement(join(X_74,complement(X_73))),meet(complement(X_74),X_73)) )],[refute_0_2078,refute_0_2081]) ).
cnf(refute_0_2083,plain,
( X_73 != join(meet(X_73,X_74),complement(join(X_74,complement(X_73))))
| join(meet(X_73,X_74),complement(join(X_74,complement(X_73)))) != join(meet(X_73,X_74),meet(complement(X_74),X_73))
| X_73 = join(meet(X_73,X_74),meet(complement(X_74),X_73)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_73,join(meet(X_73,X_74),meet(complement(X_74),X_73))) ),[0],$fot(join(meet(X_73,X_74),complement(join(X_74,complement(X_73)))))]]) ).
cnf(refute_0_2084,plain,
( X_73 != join(meet(X_73,X_74),complement(join(X_74,complement(X_73))))
| X_73 = join(meet(X_73,X_74),meet(complement(X_74),X_73)) ),
inference(resolve,[$cnf( $equal(join(meet(X_73,X_74),complement(join(X_74,complement(X_73)))),join(meet(X_73,X_74),meet(complement(X_74),X_73))) )],[refute_0_2082,refute_0_2083]) ).
cnf(refute_0_2085,plain,
X_73 = join(meet(X_73,X_74),meet(complement(X_74),X_73)),
inference(resolve,[$cnf( $equal(X_73,join(meet(X_73,X_74),complement(join(X_74,complement(X_73))))) )],[refute_0_2077,refute_0_2084]) ).
cnf(refute_0_2086,plain,
X_73 = join(meet(X_73,complement(join(X_73,X_227))),meet(complement(complement(join(X_73,X_227))),X_73)),
inference(subst,[],[refute_0_2085:[bind(X_74,$fot(complement(join(X_73,X_227))))]]) ).
cnf(refute_0_2087,plain,
meet(X_221,complement(join(complement(complement(X_221)),X_46))) = complement(join(complement(X_221),join(complement(complement(X_221)),X_46))),
inference(subst,[],[refute_0_428:[bind(X0,$fot(X_221)),bind(X_16,$fot(join(complement(complement(X_221)),X_46)))]]) ).
cnf(refute_0_2088,plain,
join(complement(X_221),join(complement(complement(X_221)),X_46)) = top,
inference(subst,[],[refute_0_1163:[bind(X_44,$fot(complement(X_221)))]]) ).
cnf(refute_0_2089,plain,
( join(complement(X_221),join(complement(complement(X_221)),X_46)) != top
| meet(X_221,complement(join(complement(complement(X_221)),X_46))) != complement(join(complement(X_221),join(complement(complement(X_221)),X_46)))
| meet(X_221,complement(join(complement(complement(X_221)),X_46))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_221,complement(join(complement(complement(X_221)),X_46))),complement(join(complement(X_221),join(complement(complement(X_221)),X_46)))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_2090,plain,
( meet(X_221,complement(join(complement(complement(X_221)),X_46))) != complement(join(complement(X_221),join(complement(complement(X_221)),X_46)))
| meet(X_221,complement(join(complement(complement(X_221)),X_46))) = complement(top) ),
inference(resolve,[$cnf( $equal(join(complement(X_221),join(complement(complement(X_221)),X_46)),top) )],[refute_0_2088,refute_0_2089]) ).
cnf(refute_0_2091,plain,
meet(X_221,complement(join(complement(complement(X_221)),X_46))) = complement(top),
inference(resolve,[$cnf( $equal(meet(X_221,complement(join(complement(complement(X_221)),X_46))),complement(join(complement(X_221),join(complement(complement(X_221)),X_46)))) )],[refute_0_2087,refute_0_2090]) ).
cnf(refute_0_2092,plain,
meet(complement(X_220),complement(X1)) = complement(join(X_220,complement(complement(X1)))),
inference(subst,[],[refute_0_701:[bind(X1,$fot(complement(X1))),bind(X_16,$fot(X_220))]]) ).
cnf(refute_0_2093,plain,
( complement(complement(X1)) != X1
| meet(complement(X_220),complement(X1)) != complement(join(X_220,complement(complement(X1))))
| meet(complement(X_220),complement(X1)) = complement(join(X_220,X1)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(complement(X_220),complement(X1)),complement(join(X_220,complement(complement(X1))))) ),[1,0,1],$fot(X1)]]) ).
cnf(refute_0_2094,plain,
( meet(complement(X_220),complement(X1)) != complement(join(X_220,complement(complement(X1))))
| meet(complement(X_220),complement(X1)) = complement(join(X_220,X1)) ),
inference(resolve,[$cnf( $equal(complement(complement(X1)),X1) )],[refute_0_781,refute_0_2093]) ).
cnf(refute_0_2095,plain,
meet(complement(X_220),complement(X1)) = complement(join(X_220,X1)),
inference(resolve,[$cnf( $equal(meet(complement(X_220),complement(X1)),complement(join(X_220,complement(complement(X1))))) )],[refute_0_2092,refute_0_2094]) ).
cnf(refute_0_2096,plain,
meet(complement(X_221),complement(X_46)) = complement(join(X_221,X_46)),
inference(subst,[],[refute_0_2095:[bind(X1,$fot(X_46)),bind(X_220,$fot(X_221))]]) ).
cnf(refute_0_2097,plain,
complement(join(complement(complement(X_221)),X_46)) = meet(complement(X_221),complement(X_46)),
inference(subst,[],[refute_0_430:[bind(X0,$fot(complement(X_221))),bind(X_16,$fot(X_46))]]) ).
cnf(refute_0_2098,plain,
( complement(join(complement(complement(X_221)),X_46)) != meet(complement(X_221),complement(X_46))
| meet(complement(X_221),complement(X_46)) != complement(join(X_221,X_46))
| complement(join(complement(complement(X_221)),X_46)) = complement(join(X_221,X_46)) ),
inference(subst,[],[refute_0_71:[bind(X,$fot(complement(join(complement(complement(X_221)),X_46)))),bind(Y,$fot(meet(complement(X_221),complement(X_46)))),bind(Z,$fot(complement(join(X_221,X_46))))]]) ).
cnf(refute_0_2099,plain,
( meet(complement(X_221),complement(X_46)) != complement(join(X_221,X_46))
| complement(join(complement(complement(X_221)),X_46)) = complement(join(X_221,X_46)) ),
inference(resolve,[$cnf( $equal(complement(join(complement(complement(X_221)),X_46)),meet(complement(X_221),complement(X_46))) )],[refute_0_2097,refute_0_2098]) ).
cnf(refute_0_2100,plain,
complement(join(complement(complement(X_221)),X_46)) = complement(join(X_221,X_46)),
inference(resolve,[$cnf( $equal(meet(complement(X_221),complement(X_46)),complement(join(X_221,X_46))) )],[refute_0_2096,refute_0_2099]) ).
cnf(refute_0_2101,plain,
meet(X_221,complement(join(complement(complement(X_221)),X_46))) = meet(X_221,complement(join(complement(complement(X_221)),X_46))),
introduced(tautology,[refl,[$fot(meet(X_221,complement(join(complement(complement(X_221)),X_46))))]]) ).
cnf(refute_0_2102,plain,
( complement(join(complement(complement(X_221)),X_46)) != complement(join(X_221,X_46))
| meet(X_221,complement(join(complement(complement(X_221)),X_46))) != meet(X_221,complement(join(complement(complement(X_221)),X_46)))
| meet(X_221,complement(join(complement(complement(X_221)),X_46))) = meet(X_221,complement(join(X_221,X_46))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_221,complement(join(complement(complement(X_221)),X_46))),meet(X_221,complement(join(complement(complement(X_221)),X_46)))) ),[1,1],$fot(complement(join(X_221,X_46)))]]) ).
cnf(refute_0_2103,plain,
( complement(join(complement(complement(X_221)),X_46)) != complement(join(X_221,X_46))
| meet(X_221,complement(join(complement(complement(X_221)),X_46))) = meet(X_221,complement(join(X_221,X_46))) ),
inference(resolve,[$cnf( $equal(meet(X_221,complement(join(complement(complement(X_221)),X_46))),meet(X_221,complement(join(complement(complement(X_221)),X_46)))) )],[refute_0_2101,refute_0_2102]) ).
cnf(refute_0_2104,plain,
meet(X_221,complement(join(complement(complement(X_221)),X_46))) = meet(X_221,complement(join(X_221,X_46))),
inference(resolve,[$cnf( $equal(complement(join(complement(complement(X_221)),X_46)),complement(join(X_221,X_46))) )],[refute_0_2100,refute_0_2103]) ).
cnf(refute_0_2105,plain,
( meet(X_221,complement(join(complement(complement(X_221)),X_46))) != complement(top)
| meet(X_221,complement(join(complement(complement(X_221)),X_46))) != meet(X_221,complement(join(X_221,X_46)))
| meet(X_221,complement(join(X_221,X_46))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_221,complement(join(complement(complement(X_221)),X_46))),complement(top)) ),[0],$fot(meet(X_221,complement(join(X_221,X_46))))]]) ).
cnf(refute_0_2106,plain,
( meet(X_221,complement(join(complement(complement(X_221)),X_46))) != complement(top)
| meet(X_221,complement(join(X_221,X_46))) = complement(top) ),
inference(resolve,[$cnf( $equal(meet(X_221,complement(join(complement(complement(X_221)),X_46))),meet(X_221,complement(join(X_221,X_46)))) )],[refute_0_2104,refute_0_2105]) ).
cnf(refute_0_2107,plain,
( complement(top) != zero
| meet(X_221,complement(join(X_221,X_46))) != complement(top)
| meet(X_221,complement(join(X_221,X_46))) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_221,complement(join(X_221,X_46))),complement(top)) ),[1],$fot(zero)]]) ).
cnf(refute_0_2108,plain,
( meet(X_221,complement(join(X_221,X_46))) != complement(top)
| meet(X_221,complement(join(X_221,X_46))) = zero ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_125,refute_0_2107]) ).
cnf(refute_0_2109,plain,
( meet(X_221,complement(join(complement(complement(X_221)),X_46))) != complement(top)
| meet(X_221,complement(join(X_221,X_46))) = zero ),
inference(resolve,[$cnf( $equal(meet(X_221,complement(join(X_221,X_46))),complement(top)) )],[refute_0_2106,refute_0_2108]) ).
cnf(refute_0_2110,plain,
meet(X_221,complement(join(X_221,X_46))) = zero,
inference(resolve,[$cnf( $equal(meet(X_221,complement(join(complement(complement(X_221)),X_46))),complement(top)) )],[refute_0_2091,refute_0_2109]) ).
cnf(refute_0_2111,plain,
meet(X_73,complement(join(X_73,X_227))) = zero,
inference(subst,[],[refute_0_2110:[bind(X_221,$fot(X_73)),bind(X_46,$fot(X_227))]]) ).
cnf(refute_0_2112,plain,
( X_73 != join(meet(X_73,complement(join(X_73,X_227))),meet(complement(complement(join(X_73,X_227))),X_73))
| meet(X_73,complement(join(X_73,X_227))) != zero
| X_73 = join(zero,meet(complement(complement(join(X_73,X_227))),X_73)) ),
introduced(tautology,[equality,[$cnf( $equal(X_73,join(meet(X_73,complement(join(X_73,X_227))),meet(complement(complement(join(X_73,X_227))),X_73))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_2113,plain,
( X_73 != join(meet(X_73,complement(join(X_73,X_227))),meet(complement(complement(join(X_73,X_227))),X_73))
| X_73 = join(zero,meet(complement(complement(join(X_73,X_227))),X_73)) ),
inference(resolve,[$cnf( $equal(meet(X_73,complement(join(X_73,X_227))),zero) )],[refute_0_2111,refute_0_2112]) ).
cnf(refute_0_2114,plain,
X_73 = join(zero,meet(complement(complement(join(X_73,X_227))),X_73)),
inference(resolve,[$cnf( $equal(X_73,join(meet(X_73,complement(join(X_73,X_227))),meet(complement(complement(join(X_73,X_227))),X_73))) )],[refute_0_2086,refute_0_2113]) ).
cnf(refute_0_2115,plain,
complement(complement(join(X_73,X_227))) = join(X_73,X_227),
inference(subst,[],[refute_0_781:[bind(X1,$fot(join(X_73,X_227)))]]) ).
cnf(refute_0_2116,plain,
meet(X_73,complement(complement(join(X_73,X_227)))) = meet(X_73,complement(complement(join(X_73,X_227)))),
introduced(tautology,[refl,[$fot(meet(X_73,complement(complement(join(X_73,X_227)))))]]) ).
cnf(refute_0_2117,plain,
( complement(complement(join(X_73,X_227))) != join(X_73,X_227)
| meet(X_73,complement(complement(join(X_73,X_227)))) != meet(X_73,complement(complement(join(X_73,X_227))))
| meet(X_73,complement(complement(join(X_73,X_227)))) = meet(X_73,join(X_73,X_227)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_73,complement(complement(join(X_73,X_227)))),meet(X_73,complement(complement(join(X_73,X_227))))) ),[1,1],$fot(join(X_73,X_227))]]) ).
cnf(refute_0_2118,plain,
( complement(complement(join(X_73,X_227))) != join(X_73,X_227)
| meet(X_73,complement(complement(join(X_73,X_227)))) = meet(X_73,join(X_73,X_227)) ),
inference(resolve,[$cnf( $equal(meet(X_73,complement(complement(join(X_73,X_227)))),meet(X_73,complement(complement(join(X_73,X_227))))) )],[refute_0_2116,refute_0_2117]) ).
cnf(refute_0_2119,plain,
meet(X_73,complement(complement(join(X_73,X_227)))) = meet(X_73,join(X_73,X_227)),
inference(resolve,[$cnf( $equal(complement(complement(join(X_73,X_227))),join(X_73,X_227)) )],[refute_0_2115,refute_0_2118]) ).
cnf(refute_0_2120,plain,
meet(complement(complement(join(X_73,X_227))),X_73) = meet(X_73,complement(complement(join(X_73,X_227)))),
inference(subst,[],[refute_0_901:[bind(X_13,$fot(X_73)),bind(X_14,$fot(complement(complement(join(X_73,X_227)))))]]) ).
cnf(refute_0_2121,plain,
join(zero,meet(complement(complement(join(X_73,X_227))),X_73)) = meet(complement(complement(join(X_73,X_227))),X_73),
inference(subst,[],[refute_0_396:[bind(X_75,$fot(meet(complement(complement(join(X_73,X_227))),X_73)))]]) ).
cnf(refute_0_2122,plain,
( join(zero,meet(complement(complement(join(X_73,X_227))),X_73)) != meet(complement(complement(join(X_73,X_227))),X_73)
| meet(complement(complement(join(X_73,X_227))),X_73) != meet(X_73,complement(complement(join(X_73,X_227))))
| join(zero,meet(complement(complement(join(X_73,X_227))),X_73)) = meet(X_73,complement(complement(join(X_73,X_227)))) ),
inference(subst,[],[refute_0_71:[bind(X,$fot(join(zero,meet(complement(complement(join(X_73,X_227))),X_73)))),bind(Y,$fot(meet(complement(complement(join(X_73,X_227))),X_73))),bind(Z,$fot(meet(X_73,complement(complement(join(X_73,X_227))))))]]) ).
cnf(refute_0_2123,plain,
( meet(complement(complement(join(X_73,X_227))),X_73) != meet(X_73,complement(complement(join(X_73,X_227))))
| join(zero,meet(complement(complement(join(X_73,X_227))),X_73)) = meet(X_73,complement(complement(join(X_73,X_227)))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(complement(join(X_73,X_227))),X_73)),meet(complement(complement(join(X_73,X_227))),X_73)) )],[refute_0_2121,refute_0_2122]) ).
cnf(refute_0_2124,plain,
join(zero,meet(complement(complement(join(X_73,X_227))),X_73)) = meet(X_73,complement(complement(join(X_73,X_227)))),
inference(resolve,[$cnf( $equal(meet(complement(complement(join(X_73,X_227))),X_73),meet(X_73,complement(complement(join(X_73,X_227))))) )],[refute_0_2120,refute_0_2123]) ).
cnf(refute_0_2125,plain,
( join(zero,meet(complement(complement(join(X_73,X_227))),X_73)) != meet(X_73,complement(complement(join(X_73,X_227))))
| meet(X_73,complement(complement(join(X_73,X_227)))) != meet(X_73,join(X_73,X_227))
| join(zero,meet(complement(complement(join(X_73,X_227))),X_73)) = meet(X_73,join(X_73,X_227)) ),
inference(subst,[],[refute_0_71:[bind(X,$fot(join(zero,meet(complement(complement(join(X_73,X_227))),X_73)))),bind(Y,$fot(meet(X_73,complement(complement(join(X_73,X_227)))))),bind(Z,$fot(meet(X_73,join(X_73,X_227))))]]) ).
cnf(refute_0_2126,plain,
( meet(X_73,complement(complement(join(X_73,X_227)))) != meet(X_73,join(X_73,X_227))
| join(zero,meet(complement(complement(join(X_73,X_227))),X_73)) = meet(X_73,join(X_73,X_227)) ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(complement(join(X_73,X_227))),X_73)),meet(X_73,complement(complement(join(X_73,X_227))))) )],[refute_0_2124,refute_0_2125]) ).
cnf(refute_0_2127,plain,
join(zero,meet(complement(complement(join(X_73,X_227))),X_73)) = meet(X_73,join(X_73,X_227)),
inference(resolve,[$cnf( $equal(meet(X_73,complement(complement(join(X_73,X_227)))),meet(X_73,join(X_73,X_227))) )],[refute_0_2119,refute_0_2126]) ).
cnf(refute_0_2128,plain,
( X_73 != join(zero,meet(complement(complement(join(X_73,X_227))),X_73))
| join(zero,meet(complement(complement(join(X_73,X_227))),X_73)) != meet(X_73,join(X_73,X_227))
| X_73 = meet(X_73,join(X_73,X_227)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_73,meet(X_73,join(X_73,X_227))) ),[0],$fot(join(zero,meet(complement(complement(join(X_73,X_227))),X_73)))]]) ).
cnf(refute_0_2129,plain,
( X_73 != join(zero,meet(complement(complement(join(X_73,X_227))),X_73))
| X_73 = meet(X_73,join(X_73,X_227)) ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(complement(join(X_73,X_227))),X_73)),meet(X_73,join(X_73,X_227))) )],[refute_0_2127,refute_0_2128]) ).
cnf(refute_0_2130,plain,
X_73 = meet(X_73,join(X_73,X_227)),
inference(resolve,[$cnf( $equal(X_73,join(zero,meet(complement(complement(join(X_73,X_227))),X_73))) )],[refute_0_2114,refute_0_2129]) ).
cnf(refute_0_2131,plain,
X_230 = meet(X_230,join(X_230,X_229)),
inference(subst,[],[refute_0_2130:[bind(X_227,$fot(X_229)),bind(X_73,$fot(X_230))]]) ).
cnf(refute_0_2132,plain,
join(X_229,X_230) = join(X_230,X_229),
inference(subst,[],[refute_0_1:[bind(X0,$fot(X_229)),bind(X1,$fot(X_230))]]) ).
cnf(refute_0_2133,plain,
( join(X_229,X_230) != join(X_230,X_229)
| join(X_230,X_229) = join(X_229,X_230) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(X_229,X_230))),bind(Y,$fot(join(X_230,X_229)))]]) ).
cnf(refute_0_2134,plain,
join(X_230,X_229) = join(X_229,X_230),
inference(resolve,[$cnf( $equal(join(X_229,X_230),join(X_230,X_229)) )],[refute_0_2132,refute_0_2133]) ).
cnf(refute_0_2135,plain,
( X_230 != meet(X_230,join(X_230,X_229))
| join(X_230,X_229) != join(X_229,X_230)
| X_230 = meet(X_230,join(X_229,X_230)) ),
introduced(tautology,[equality,[$cnf( $equal(X_230,meet(X_230,join(X_230,X_229))) ),[1,1],$fot(join(X_229,X_230))]]) ).
cnf(refute_0_2136,plain,
( X_230 != meet(X_230,join(X_230,X_229))
| X_230 = meet(X_230,join(X_229,X_230)) ),
inference(resolve,[$cnf( $equal(join(X_230,X_229),join(X_229,X_230)) )],[refute_0_2134,refute_0_2135]) ).
cnf(refute_0_2137,plain,
X_230 = meet(X_230,join(X_229,X_230)),
inference(resolve,[$cnf( $equal(X_230,meet(X_230,join(X_230,X_229))) )],[refute_0_2131,refute_0_2136]) ).
cnf(refute_0_2138,plain,
join(X_351,X_229) = meet(join(X_351,X_229),join(X_229,join(X_351,X_229))),
inference(subst,[],[refute_0_2137:[bind(X_230,$fot(join(X_351,X_229)))]]) ).
cnf(refute_0_2139,plain,
( complement(complement(X1)) != X1
| join(complement(complement(X1)),join(complement(complement(X1)),X_131)) != join(complement(complement(X1)),X_131)
| join(complement(complement(X1)),join(X1,X_131)) = join(complement(complement(X1)),X_131) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(X1)),join(complement(complement(X1)),X_131)),join(complement(complement(X1)),X_131)) ),[0,1,0],$fot(X1)]]) ).
cnf(refute_0_2140,plain,
( join(complement(complement(X1)),join(complement(complement(X1)),X_131)) != join(complement(complement(X1)),X_131)
| join(complement(complement(X1)),join(X1,X_131)) = join(complement(complement(X1)),X_131) ),
inference(resolve,[$cnf( $equal(complement(complement(X1)),X1) )],[refute_0_781,refute_0_2139]) ).
cnf(refute_0_2141,plain,
join(complement(complement(X1)),join(X1,X_131)) = join(complement(complement(X1)),X_131),
inference(resolve,[$cnf( $equal(join(complement(complement(X1)),join(complement(complement(X1)),X_131)),join(complement(complement(X1)),X_131)) )],[refute_0_975,refute_0_2140]) ).
cnf(refute_0_2142,plain,
join(X_131,complement(complement(X1))) = join(X_131,complement(complement(X1))),
introduced(tautology,[refl,[$fot(join(X_131,complement(complement(X1))))]]) ).
cnf(refute_0_2143,plain,
( complement(complement(X1)) != X1
| join(X_131,complement(complement(X1))) != join(X_131,complement(complement(X1)))
| join(X_131,complement(complement(X1))) = join(X_131,X1) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_131,complement(complement(X1))),join(X_131,complement(complement(X1)))) ),[1,1],$fot(X1)]]) ).
cnf(refute_0_2144,plain,
( complement(complement(X1)) != X1
| join(X_131,complement(complement(X1))) = join(X_131,X1) ),
inference(resolve,[$cnf( $equal(join(X_131,complement(complement(X1))),join(X_131,complement(complement(X1)))) )],[refute_0_2142,refute_0_2143]) ).
cnf(refute_0_2145,plain,
join(X_131,complement(complement(X1))) = join(X_131,X1),
inference(resolve,[$cnf( $equal(complement(complement(X1)),X1) )],[refute_0_781,refute_0_2144]) ).
cnf(refute_0_2146,plain,
join(X1,join(X_131,complement(complement(X1)))) = join(X1,join(X_131,complement(complement(X1)))),
introduced(tautology,[refl,[$fot(join(X1,join(X_131,complement(complement(X1)))))]]) ).
cnf(refute_0_2147,plain,
( join(X1,join(X_131,complement(complement(X1)))) != join(X1,join(X_131,complement(complement(X1))))
| join(X_131,complement(complement(X1))) != join(X_131,X1)
| join(X1,join(X_131,complement(complement(X1)))) = join(X1,join(X_131,X1)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X1,join(X_131,complement(complement(X1)))),join(X1,join(X_131,complement(complement(X1))))) ),[1,1],$fot(join(X_131,X1))]]) ).
cnf(refute_0_2148,plain,
( join(X_131,complement(complement(X1))) != join(X_131,X1)
| join(X1,join(X_131,complement(complement(X1)))) = join(X1,join(X_131,X1)) ),
inference(resolve,[$cnf( $equal(join(X1,join(X_131,complement(complement(X1)))),join(X1,join(X_131,complement(complement(X1))))) )],[refute_0_2146,refute_0_2147]) ).
cnf(refute_0_2149,plain,
join(X1,join(X_131,complement(complement(X1)))) = join(X1,join(X_131,X1)),
inference(resolve,[$cnf( $equal(join(X_131,complement(complement(X1))),join(X_131,X1)) )],[refute_0_2145,refute_0_2148]) ).
cnf(refute_0_2150,plain,
join(X_128,join(X_129,X_130)) = join(X_129,join(X_128,X_130)),
inference(subst,[],[refute_0_546:[bind(X_44,$fot(X_128)),bind(X_45,$fot(X_129)),bind(X_46,$fot(X_130))]]) ).
cnf(refute_0_2151,plain,
join(X_130,X_129) = join(X_129,X_130),
inference(subst,[],[refute_0_1:[bind(X0,$fot(X_130)),bind(X1,$fot(X_129))]]) ).
cnf(refute_0_2152,plain,
( join(X_130,X_129) != join(X_129,X_130)
| join(X_129,X_130) = join(X_130,X_129) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(X_130,X_129))),bind(Y,$fot(join(X_129,X_130)))]]) ).
cnf(refute_0_2153,plain,
join(X_129,X_130) = join(X_130,X_129),
inference(resolve,[$cnf( $equal(join(X_130,X_129),join(X_129,X_130)) )],[refute_0_2151,refute_0_2152]) ).
cnf(refute_0_2154,plain,
( join(X_128,join(X_129,X_130)) != join(X_129,join(X_128,X_130))
| join(X_129,X_130) != join(X_130,X_129)
| join(X_128,join(X_130,X_129)) = join(X_129,join(X_128,X_130)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_128,join(X_129,X_130)),join(X_129,join(X_128,X_130))) ),[0,1],$fot(join(X_130,X_129))]]) ).
cnf(refute_0_2155,plain,
( join(X_128,join(X_129,X_130)) != join(X_129,join(X_128,X_130))
| join(X_128,join(X_130,X_129)) = join(X_129,join(X_128,X_130)) ),
inference(resolve,[$cnf( $equal(join(X_129,X_130),join(X_130,X_129)) )],[refute_0_2153,refute_0_2154]) ).
cnf(refute_0_2156,plain,
join(X_128,join(X_130,X_129)) = join(X_129,join(X_128,X_130)),
inference(resolve,[$cnf( $equal(join(X_128,join(X_129,X_130)),join(X_129,join(X_128,X_130))) )],[refute_0_2150,refute_0_2155]) ).
cnf(refute_0_2157,plain,
( join(X_128,join(X_130,X_129)) != join(X_129,join(X_128,X_130))
| join(X_129,join(X_128,X_130)) = join(X_128,join(X_130,X_129)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(X_128,join(X_130,X_129)))),bind(Y,$fot(join(X_129,join(X_128,X_130))))]]) ).
cnf(refute_0_2158,plain,
join(X_129,join(X_128,X_130)) = join(X_128,join(X_130,X_129)),
inference(resolve,[$cnf( $equal(join(X_128,join(X_130,X_129)),join(X_129,join(X_128,X_130))) )],[refute_0_2156,refute_0_2157]) ).
cnf(refute_0_2159,plain,
join(complement(complement(X1)),join(X1,X_131)) = join(X1,join(X_131,complement(complement(X1)))),
inference(subst,[],[refute_0_2158:[bind(X_128,$fot(X1)),bind(X_129,$fot(complement(complement(X1)))),bind(X_130,$fot(X_131))]]) ).
cnf(refute_0_2160,plain,
( join(X1,join(X_131,complement(complement(X1)))) != join(X1,join(X_131,X1))
| join(complement(complement(X1)),join(X1,X_131)) != join(X1,join(X_131,complement(complement(X1))))
| join(complement(complement(X1)),join(X1,X_131)) = join(X1,join(X_131,X1)) ),
inference(subst,[],[refute_0_71:[bind(X,$fot(join(complement(complement(X1)),join(X1,X_131)))),bind(Y,$fot(join(X1,join(X_131,complement(complement(X1)))))),bind(Z,$fot(join(X1,join(X_131,X1))))]]) ).
cnf(refute_0_2161,plain,
( join(X1,join(X_131,complement(complement(X1)))) != join(X1,join(X_131,X1))
| join(complement(complement(X1)),join(X1,X_131)) = join(X1,join(X_131,X1)) ),
inference(resolve,[$cnf( $equal(join(complement(complement(X1)),join(X1,X_131)),join(X1,join(X_131,complement(complement(X1))))) )],[refute_0_2159,refute_0_2160]) ).
cnf(refute_0_2162,plain,
join(complement(complement(X1)),join(X1,X_131)) = join(X1,join(X_131,X1)),
inference(resolve,[$cnf( $equal(join(X1,join(X_131,complement(complement(X1)))),join(X1,join(X_131,X1))) )],[refute_0_2149,refute_0_2161]) ).
cnf(refute_0_2163,plain,
( join(complement(complement(X1)),join(X1,X_131)) != join(X1,join(X_131,X1))
| join(complement(complement(X1)),join(X1,X_131)) != join(complement(complement(X1)),X_131)
| join(X1,join(X_131,X1)) = join(complement(complement(X1)),X_131) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(X1)),join(X1,X_131)),join(complement(complement(X1)),X_131)) ),[0],$fot(join(X1,join(X_131,X1)))]]) ).
cnf(refute_0_2164,plain,
( join(complement(complement(X1)),join(X1,X_131)) != join(complement(complement(X1)),X_131)
| join(X1,join(X_131,X1)) = join(complement(complement(X1)),X_131) ),
inference(resolve,[$cnf( $equal(join(complement(complement(X1)),join(X1,X_131)),join(X1,join(X_131,X1))) )],[refute_0_2162,refute_0_2163]) ).
cnf(refute_0_2165,plain,
( join(X1,join(X_131,X1)) != join(complement(complement(X1)),X_131)
| join(complement(complement(X1)),X_131) != join(X1,X_131)
| join(X1,join(X_131,X1)) = join(X1,X_131) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X1,join(X_131,X1)),join(X1,X_131)) ),[0],$fot(join(complement(complement(X1)),X_131))]]) ).
cnf(refute_0_2166,plain,
( join(X1,join(X_131,X1)) != join(complement(complement(X1)),X_131)
| join(X1,join(X_131,X1)) = join(X1,X_131) ),
inference(resolve,[$cnf( $equal(join(complement(complement(X1)),X_131),join(X1,X_131)) )],[refute_0_982,refute_0_2165]) ).
cnf(refute_0_2167,plain,
( join(complement(complement(X1)),join(X1,X_131)) != join(complement(complement(X1)),X_131)
| join(X1,join(X_131,X1)) = join(X1,X_131) ),
inference(resolve,[$cnf( $equal(join(X1,join(X_131,X1)),join(complement(complement(X1)),X_131)) )],[refute_0_2164,refute_0_2166]) ).
cnf(refute_0_2168,plain,
join(X1,join(X_131,X1)) = join(X1,X_131),
inference(resolve,[$cnf( $equal(join(complement(complement(X1)),join(X1,X_131)),join(complement(complement(X1)),X_131)) )],[refute_0_2141,refute_0_2167]) ).
cnf(refute_0_2169,plain,
join(X_229,join(X_351,X_229)) = join(X_229,X_351),
inference(subst,[],[refute_0_2168:[bind(X1,$fot(X_229)),bind(X_131,$fot(X_351))]]) ).
cnf(refute_0_2170,plain,
( join(X_229,join(X_351,X_229)) != join(X_229,X_351)
| join(X_351,X_229) != meet(join(X_351,X_229),join(X_229,join(X_351,X_229)))
| join(X_351,X_229) = meet(join(X_351,X_229),join(X_229,X_351)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_351,X_229),meet(join(X_351,X_229),join(X_229,join(X_351,X_229)))) ),[1,1],$fot(join(X_229,X_351))]]) ).
cnf(refute_0_2171,plain,
( join(X_351,X_229) != meet(join(X_351,X_229),join(X_229,join(X_351,X_229)))
| join(X_351,X_229) = meet(join(X_351,X_229),join(X_229,X_351)) ),
inference(resolve,[$cnf( $equal(join(X_229,join(X_351,X_229)),join(X_229,X_351)) )],[refute_0_2169,refute_0_2170]) ).
cnf(refute_0_2172,plain,
join(X_351,X_229) = meet(join(X_351,X_229),join(X_229,X_351)),
inference(resolve,[$cnf( $equal(join(X_351,X_229),meet(join(X_351,X_229),join(X_229,join(X_351,X_229)))) )],[refute_0_2138,refute_0_2171]) ).
cnf(refute_0_2173,plain,
join(X_406,join(X_44,X_46)) = meet(join(X_406,join(X_44,X_46)),join(join(X_44,X_46),X_406)),
inference(subst,[],[refute_0_2172:[bind(X_229,$fot(join(X_44,X_46))),bind(X_351,$fot(X_406))]]) ).
cnf(refute_0_2174,plain,
join(X_44,join(X_406,X_46)) = join(X_406,join(X_44,X_46)),
inference(subst,[],[refute_0_546:[bind(X_45,$fot(X_406))]]) ).
cnf(refute_0_2175,plain,
( join(X_44,join(X_406,X_46)) != join(X_406,join(X_44,X_46))
| join(X_406,join(X_44,X_46)) = join(X_44,join(X_406,X_46)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(X_44,join(X_406,X_46)))),bind(Y,$fot(join(X_406,join(X_44,X_46))))]]) ).
cnf(refute_0_2176,plain,
join(X_406,join(X_44,X_46)) = join(X_44,join(X_406,X_46)),
inference(resolve,[$cnf( $equal(join(X_44,join(X_406,X_46)),join(X_406,join(X_44,X_46))) )],[refute_0_2174,refute_0_2175]) ).
cnf(refute_0_2177,plain,
( join(X_406,join(X_44,X_46)) != join(X_44,join(X_406,X_46))
| join(X_406,join(X_44,X_46)) != meet(join(X_406,join(X_44,X_46)),join(join(X_44,X_46),X_406))
| join(X_406,join(X_44,X_46)) = meet(join(X_44,join(X_406,X_46)),join(join(X_44,X_46),X_406)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_406,join(X_44,X_46)),meet(join(X_406,join(X_44,X_46)),join(join(X_44,X_46),X_406))) ),[1,0],$fot(join(X_44,join(X_406,X_46)))]]) ).
cnf(refute_0_2178,plain,
( join(X_406,join(X_44,X_46)) != meet(join(X_406,join(X_44,X_46)),join(join(X_44,X_46),X_406))
| join(X_406,join(X_44,X_46)) = meet(join(X_44,join(X_406,X_46)),join(join(X_44,X_46),X_406)) ),
inference(resolve,[$cnf( $equal(join(X_406,join(X_44,X_46)),join(X_44,join(X_406,X_46))) )],[refute_0_2176,refute_0_2177]) ).
cnf(refute_0_2179,plain,
join(X_406,join(X_44,X_46)) = meet(join(X_44,join(X_406,X_46)),join(join(X_44,X_46),X_406)),
inference(resolve,[$cnf( $equal(join(X_406,join(X_44,X_46)),meet(join(X_406,join(X_44,X_46)),join(join(X_44,X_46),X_406))) )],[refute_0_2173,refute_0_2178]) ).
cnf(refute_0_2180,plain,
join(join(X_44,X_46),X_405) = meet(join(join(X_44,X_46),X_405),join(X_405,join(X_44,X_46))),
inference(subst,[],[refute_0_2172:[bind(X_229,$fot(X_405)),bind(X_351,$fot(join(X_44,X_46)))]]) ).
cnf(refute_0_2181,plain,
join(X_44,join(X_405,X_46)) = join(X_405,join(X_44,X_46)),
inference(subst,[],[refute_0_546:[bind(X_45,$fot(X_405))]]) ).
cnf(refute_0_2182,plain,
( join(X_44,join(X_405,X_46)) != join(X_405,join(X_44,X_46))
| join(X_405,join(X_44,X_46)) = join(X_44,join(X_405,X_46)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(X_44,join(X_405,X_46)))),bind(Y,$fot(join(X_405,join(X_44,X_46))))]]) ).
cnf(refute_0_2183,plain,
join(X_405,join(X_44,X_46)) = join(X_44,join(X_405,X_46)),
inference(resolve,[$cnf( $equal(join(X_44,join(X_405,X_46)),join(X_405,join(X_44,X_46))) )],[refute_0_2181,refute_0_2182]) ).
cnf(refute_0_2184,plain,
( join(X_405,join(X_44,X_46)) != join(X_44,join(X_405,X_46))
| join(join(X_44,X_46),X_405) != meet(join(join(X_44,X_46),X_405),join(X_405,join(X_44,X_46)))
| join(join(X_44,X_46),X_405) = meet(join(join(X_44,X_46),X_405),join(X_44,join(X_405,X_46))) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(X_44,X_46),X_405),meet(join(join(X_44,X_46),X_405),join(X_405,join(X_44,X_46)))) ),[1,1],$fot(join(X_44,join(X_405,X_46)))]]) ).
cnf(refute_0_2185,plain,
( join(join(X_44,X_46),X_405) != meet(join(join(X_44,X_46),X_405),join(X_405,join(X_44,X_46)))
| join(join(X_44,X_46),X_405) = meet(join(join(X_44,X_46),X_405),join(X_44,join(X_405,X_46))) ),
inference(resolve,[$cnf( $equal(join(X_405,join(X_44,X_46)),join(X_44,join(X_405,X_46))) )],[refute_0_2183,refute_0_2184]) ).
cnf(refute_0_2186,plain,
join(join(X_44,X_46),X_405) = meet(join(join(X_44,X_46),X_405),join(X_44,join(X_405,X_46))),
inference(resolve,[$cnf( $equal(join(join(X_44,X_46),X_405),meet(join(join(X_44,X_46),X_405),join(X_405,join(X_44,X_46)))) )],[refute_0_2180,refute_0_2185]) ).
cnf(refute_0_2187,plain,
join(join(X_44,X_46),X_405) = join(X_44,join(X_46,X_405)),
inference(subst,[],[refute_0_241:[bind(X0,$fot(X_44)),bind(X1,$fot(X_46)),bind(X2,$fot(X_405))]]) ).
cnf(refute_0_2188,plain,
( join(join(X_44,X_46),X_405) != join(X_44,join(X_46,X_405))
| join(join(X_44,X_46),X_405) != meet(join(join(X_44,X_46),X_405),join(X_44,join(X_405,X_46)))
| join(X_44,join(X_46,X_405)) = meet(join(join(X_44,X_46),X_405),join(X_44,join(X_405,X_46))) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(X_44,X_46),X_405),meet(join(join(X_44,X_46),X_405),join(X_44,join(X_405,X_46)))) ),[0],$fot(join(X_44,join(X_46,X_405)))]]) ).
cnf(refute_0_2189,plain,
( join(join(X_44,X_46),X_405) != meet(join(join(X_44,X_46),X_405),join(X_44,join(X_405,X_46)))
| join(X_44,join(X_46,X_405)) = meet(join(join(X_44,X_46),X_405),join(X_44,join(X_405,X_46))) ),
inference(resolve,[$cnf( $equal(join(join(X_44,X_46),X_405),join(X_44,join(X_46,X_405))) )],[refute_0_2187,refute_0_2188]) ).
cnf(refute_0_2190,plain,
meet(join(X_44,join(X_405,X_46)),join(join(X_44,X_46),X_405)) = meet(join(X_44,join(X_405,X_46)),join(join(X_44,X_46),X_405)),
introduced(tautology,[refl,[$fot(meet(join(X_44,join(X_405,X_46)),join(join(X_44,X_46),X_405)))]]) ).
cnf(refute_0_2191,plain,
( join(join(X_44,X_46),X_405) != join(X_44,join(X_46,X_405))
| meet(join(X_44,join(X_405,X_46)),join(join(X_44,X_46),X_405)) != meet(join(X_44,join(X_405,X_46)),join(join(X_44,X_46),X_405))
| meet(join(X_44,join(X_405,X_46)),join(join(X_44,X_46),X_405)) = meet(join(X_44,join(X_405,X_46)),join(X_44,join(X_46,X_405))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_44,join(X_405,X_46)),join(join(X_44,X_46),X_405)),meet(join(X_44,join(X_405,X_46)),join(join(X_44,X_46),X_405))) ),[1,1],$fot(join(X_44,join(X_46,X_405)))]]) ).
cnf(refute_0_2192,plain,
( join(join(X_44,X_46),X_405) != join(X_44,join(X_46,X_405))
| meet(join(X_44,join(X_405,X_46)),join(join(X_44,X_46),X_405)) = meet(join(X_44,join(X_405,X_46)),join(X_44,join(X_46,X_405))) ),
inference(resolve,[$cnf( $equal(meet(join(X_44,join(X_405,X_46)),join(join(X_44,X_46),X_405)),meet(join(X_44,join(X_405,X_46)),join(join(X_44,X_46),X_405))) )],[refute_0_2190,refute_0_2191]) ).
cnf(refute_0_2193,plain,
meet(join(X_44,join(X_405,X_46)),join(join(X_44,X_46),X_405)) = meet(join(X_44,join(X_405,X_46)),join(X_44,join(X_46,X_405))),
inference(resolve,[$cnf( $equal(join(join(X_44,X_46),X_405),join(X_44,join(X_46,X_405))) )],[refute_0_2187,refute_0_2192]) ).
cnf(refute_0_2194,plain,
meet(join(join(X_44,X_46),X_405),join(X_44,join(X_405,X_46))) = meet(join(X_44,join(X_405,X_46)),join(join(X_44,X_46),X_405)),
inference(subst,[],[refute_0_901:[bind(X_13,$fot(join(X_44,join(X_405,X_46)))),bind(X_14,$fot(join(join(X_44,X_46),X_405)))]]) ).
cnf(refute_0_2195,plain,
( meet(join(X_44,join(X_405,X_46)),join(join(X_44,X_46),X_405)) != meet(join(X_44,join(X_405,X_46)),join(X_44,join(X_46,X_405)))
| meet(join(join(X_44,X_46),X_405),join(X_44,join(X_405,X_46))) != meet(join(X_44,join(X_405,X_46)),join(join(X_44,X_46),X_405))
| meet(join(join(X_44,X_46),X_405),join(X_44,join(X_405,X_46))) = meet(join(X_44,join(X_405,X_46)),join(X_44,join(X_46,X_405))) ),
inference(subst,[],[refute_0_71:[bind(X,$fot(meet(join(join(X_44,X_46),X_405),join(X_44,join(X_405,X_46))))),bind(Y,$fot(meet(join(X_44,join(X_405,X_46)),join(join(X_44,X_46),X_405)))),bind(Z,$fot(meet(join(X_44,join(X_405,X_46)),join(X_44,join(X_46,X_405)))))]]) ).
cnf(refute_0_2196,plain,
( meet(join(X_44,join(X_405,X_46)),join(join(X_44,X_46),X_405)) != meet(join(X_44,join(X_405,X_46)),join(X_44,join(X_46,X_405)))
| meet(join(join(X_44,X_46),X_405),join(X_44,join(X_405,X_46))) = meet(join(X_44,join(X_405,X_46)),join(X_44,join(X_46,X_405))) ),
inference(resolve,[$cnf( $equal(meet(join(join(X_44,X_46),X_405),join(X_44,join(X_405,X_46))),meet(join(X_44,join(X_405,X_46)),join(join(X_44,X_46),X_405))) )],[refute_0_2194,refute_0_2195]) ).
cnf(refute_0_2197,plain,
meet(join(join(X_44,X_46),X_405),join(X_44,join(X_405,X_46))) = meet(join(X_44,join(X_405,X_46)),join(X_44,join(X_46,X_405))),
inference(resolve,[$cnf( $equal(meet(join(X_44,join(X_405,X_46)),join(join(X_44,X_46),X_405)),meet(join(X_44,join(X_405,X_46)),join(X_44,join(X_46,X_405)))) )],[refute_0_2193,refute_0_2196]) ).
cnf(refute_0_2198,plain,
( join(X_44,join(X_46,X_405)) != meet(join(join(X_44,X_46),X_405),join(X_44,join(X_405,X_46)))
| meet(join(join(X_44,X_46),X_405),join(X_44,join(X_405,X_46))) != meet(join(X_44,join(X_405,X_46)),join(X_44,join(X_46,X_405)))
| join(X_44,join(X_46,X_405)) = meet(join(X_44,join(X_405,X_46)),join(X_44,join(X_46,X_405))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_44,join(X_46,X_405)),meet(join(X_44,join(X_405,X_46)),join(X_44,join(X_46,X_405)))) ),[0],$fot(meet(join(join(X_44,X_46),X_405),join(X_44,join(X_405,X_46))))]]) ).
cnf(refute_0_2199,plain,
( join(X_44,join(X_46,X_405)) != meet(join(join(X_44,X_46),X_405),join(X_44,join(X_405,X_46)))
| join(X_44,join(X_46,X_405)) = meet(join(X_44,join(X_405,X_46)),join(X_44,join(X_46,X_405))) ),
inference(resolve,[$cnf( $equal(meet(join(join(X_44,X_46),X_405),join(X_44,join(X_405,X_46))),meet(join(X_44,join(X_405,X_46)),join(X_44,join(X_46,X_405)))) )],[refute_0_2197,refute_0_2198]) ).
cnf(refute_0_2200,plain,
( join(join(X_44,X_46),X_405) != meet(join(join(X_44,X_46),X_405),join(X_44,join(X_405,X_46)))
| join(X_44,join(X_46,X_405)) = meet(join(X_44,join(X_405,X_46)),join(X_44,join(X_46,X_405))) ),
inference(resolve,[$cnf( $equal(join(X_44,join(X_46,X_405)),meet(join(join(X_44,X_46),X_405),join(X_44,join(X_405,X_46)))) )],[refute_0_2189,refute_0_2199]) ).
cnf(refute_0_2201,plain,
join(X_44,join(X_46,X_405)) = meet(join(X_44,join(X_405,X_46)),join(X_44,join(X_46,X_405))),
inference(resolve,[$cnf( $equal(join(join(X_44,X_46),X_405),meet(join(join(X_44,X_46),X_405),join(X_44,join(X_405,X_46)))) )],[refute_0_2186,refute_0_2200]) ).
cnf(refute_0_2202,plain,
( join(X_44,join(X_46,X_405)) != meet(join(X_44,join(X_405,X_46)),join(X_44,join(X_46,X_405)))
| meet(join(X_44,join(X_405,X_46)),join(X_44,join(X_46,X_405))) = join(X_44,join(X_46,X_405)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(join(X_44,join(X_46,X_405)))),bind(Y,$fot(meet(join(X_44,join(X_405,X_46)),join(X_44,join(X_46,X_405)))))]]) ).
cnf(refute_0_2203,plain,
meet(join(X_44,join(X_405,X_46)),join(X_44,join(X_46,X_405))) = join(X_44,join(X_46,X_405)),
inference(resolve,[$cnf( $equal(join(X_44,join(X_46,X_405)),meet(join(X_44,join(X_405,X_46)),join(X_44,join(X_46,X_405)))) )],[refute_0_2201,refute_0_2202]) ).
cnf(refute_0_2204,plain,
meet(join(X_44,join(X_406,X_46)),join(X_44,join(X_46,X_406))) = join(X_44,join(X_46,X_406)),
inference(subst,[],[refute_0_2203:[bind(X_405,$fot(X_406))]]) ).
cnf(refute_0_2205,plain,
join(join(X_44,X_46),X_406) = join(X_44,join(X_46,X_406)),
inference(subst,[],[refute_0_241:[bind(X0,$fot(X_44)),bind(X1,$fot(X_46)),bind(X2,$fot(X_406))]]) ).
cnf(refute_0_2206,plain,
meet(join(X_44,join(X_406,X_46)),join(join(X_44,X_46),X_406)) = meet(join(X_44,join(X_406,X_46)),join(join(X_44,X_46),X_406)),
introduced(tautology,[refl,[$fot(meet(join(X_44,join(X_406,X_46)),join(join(X_44,X_46),X_406)))]]) ).
cnf(refute_0_2207,plain,
( join(join(X_44,X_46),X_406) != join(X_44,join(X_46,X_406))
| meet(join(X_44,join(X_406,X_46)),join(join(X_44,X_46),X_406)) != meet(join(X_44,join(X_406,X_46)),join(join(X_44,X_46),X_406))
| meet(join(X_44,join(X_406,X_46)),join(join(X_44,X_46),X_406)) = meet(join(X_44,join(X_406,X_46)),join(X_44,join(X_46,X_406))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(X_44,join(X_406,X_46)),join(join(X_44,X_46),X_406)),meet(join(X_44,join(X_406,X_46)),join(join(X_44,X_46),X_406))) ),[1,1],$fot(join(X_44,join(X_46,X_406)))]]) ).
cnf(refute_0_2208,plain,
( join(join(X_44,X_46),X_406) != join(X_44,join(X_46,X_406))
| meet(join(X_44,join(X_406,X_46)),join(join(X_44,X_46),X_406)) = meet(join(X_44,join(X_406,X_46)),join(X_44,join(X_46,X_406))) ),
inference(resolve,[$cnf( $equal(meet(join(X_44,join(X_406,X_46)),join(join(X_44,X_46),X_406)),meet(join(X_44,join(X_406,X_46)),join(join(X_44,X_46),X_406))) )],[refute_0_2206,refute_0_2207]) ).
cnf(refute_0_2209,plain,
meet(join(X_44,join(X_406,X_46)),join(join(X_44,X_46),X_406)) = meet(join(X_44,join(X_406,X_46)),join(X_44,join(X_46,X_406))),
inference(resolve,[$cnf( $equal(join(join(X_44,X_46),X_406),join(X_44,join(X_46,X_406))) )],[refute_0_2205,refute_0_2208]) ).
cnf(refute_0_2210,plain,
( meet(join(X_44,join(X_406,X_46)),join(X_44,join(X_46,X_406))) != join(X_44,join(X_46,X_406))
| meet(join(X_44,join(X_406,X_46)),join(join(X_44,X_46),X_406)) != meet(join(X_44,join(X_406,X_46)),join(X_44,join(X_46,X_406)))
| meet(join(X_44,join(X_406,X_46)),join(join(X_44,X_46),X_406)) = join(X_44,join(X_46,X_406)) ),
inference(subst,[],[refute_0_71:[bind(X,$fot(meet(join(X_44,join(X_406,X_46)),join(join(X_44,X_46),X_406)))),bind(Y,$fot(meet(join(X_44,join(X_406,X_46)),join(X_44,join(X_46,X_406))))),bind(Z,$fot(join(X_44,join(X_46,X_406))))]]) ).
cnf(refute_0_2211,plain,
( meet(join(X_44,join(X_406,X_46)),join(X_44,join(X_46,X_406))) != join(X_44,join(X_46,X_406))
| meet(join(X_44,join(X_406,X_46)),join(join(X_44,X_46),X_406)) = join(X_44,join(X_46,X_406)) ),
inference(resolve,[$cnf( $equal(meet(join(X_44,join(X_406,X_46)),join(join(X_44,X_46),X_406)),meet(join(X_44,join(X_406,X_46)),join(X_44,join(X_46,X_406)))) )],[refute_0_2209,refute_0_2210]) ).
cnf(refute_0_2212,plain,
meet(join(X_44,join(X_406,X_46)),join(join(X_44,X_46),X_406)) = join(X_44,join(X_46,X_406)),
inference(resolve,[$cnf( $equal(meet(join(X_44,join(X_406,X_46)),join(X_44,join(X_46,X_406))),join(X_44,join(X_46,X_406))) )],[refute_0_2204,refute_0_2211]) ).
cnf(refute_0_2213,plain,
( join(X_406,join(X_44,X_46)) != meet(join(X_44,join(X_406,X_46)),join(join(X_44,X_46),X_406))
| meet(join(X_44,join(X_406,X_46)),join(join(X_44,X_46),X_406)) != join(X_44,join(X_46,X_406))
| join(X_406,join(X_44,X_46)) = join(X_44,join(X_46,X_406)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_406,join(X_44,X_46)),join(X_44,join(X_46,X_406))) ),[0],$fot(meet(join(X_44,join(X_406,X_46)),join(join(X_44,X_46),X_406)))]]) ).
cnf(refute_0_2214,plain,
( join(X_406,join(X_44,X_46)) != meet(join(X_44,join(X_406,X_46)),join(join(X_44,X_46),X_406))
| join(X_406,join(X_44,X_46)) = join(X_44,join(X_46,X_406)) ),
inference(resolve,[$cnf( $equal(meet(join(X_44,join(X_406,X_46)),join(join(X_44,X_46),X_406)),join(X_44,join(X_46,X_406))) )],[refute_0_2212,refute_0_2213]) ).
cnf(refute_0_2215,plain,
join(X_406,join(X_44,X_46)) = join(X_44,join(X_46,X_406)),
inference(resolve,[$cnf( $equal(join(X_406,join(X_44,X_46)),meet(join(X_44,join(X_406,X_46)),join(join(X_44,X_46),X_406))) )],[refute_0_2179,refute_0_2214]) ).
cnf(refute_0_2216,plain,
join(converse(X0),join(zero,X_6)) = join(zero,join(X_6,converse(X0))),
inference(subst,[],[refute_0_2215:[bind(X_406,$fot(converse(X0))),bind(X_44,$fot(zero)),bind(X_46,$fot(X_6))]]) ).
cnf(refute_0_2217,plain,
( join(converse(X0),join(zero,X_6)) != join(zero,join(X_6,converse(X0)))
| join(zero,join(X_6,converse(X0))) != join(X_6,converse(X0))
| join(converse(X0),join(zero,X_6)) = join(X_6,converse(X0)) ),
inference(subst,[],[refute_0_71:[bind(X,$fot(join(converse(X0),join(zero,X_6)))),bind(Y,$fot(join(zero,join(X_6,converse(X0))))),bind(Z,$fot(join(X_6,converse(X0))))]]) ).
cnf(refute_0_2218,plain,
( join(zero,join(X_6,converse(X0))) != join(X_6,converse(X0))
| join(converse(X0),join(zero,X_6)) = join(X_6,converse(X0)) ),
inference(resolve,[$cnf( $equal(join(converse(X0),join(zero,X_6)),join(zero,join(X_6,converse(X0)))) )],[refute_0_2216,refute_0_2217]) ).
cnf(refute_0_2219,plain,
join(converse(X0),join(zero,X_6)) = join(X_6,converse(X0)),
inference(resolve,[$cnf( $equal(join(zero,join(X_6,converse(X0))),join(X_6,converse(X0))) )],[refute_0_2071,refute_0_2218]) ).
cnf(refute_0_2220,plain,
( join(converse(X0),join(zero,X_6)) != join(X_6,converse(X0))
| join(converse(join(X0,composition(complement(composition(top,complement(one))),composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one)))))))),X_6) != join(converse(X0),join(zero,X_6))
| join(converse(join(X0,composition(complement(composition(top,complement(one))),composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one)))))))),X_6) = join(X_6,converse(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(join(X0,composition(complement(composition(top,complement(one))),composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one)))))))),X_6),join(converse(X0),join(zero,X_6))) ),[1],$fot(join(X_6,converse(X0)))]]) ).
cnf(refute_0_2221,plain,
( join(converse(join(X0,composition(complement(composition(top,complement(one))),composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one)))))))),X_6) != join(converse(X0),join(zero,X_6))
| join(converse(join(X0,composition(complement(composition(top,complement(one))),composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one)))))))),X_6) = join(X_6,converse(X0)) ),
inference(resolve,[$cnf( $equal(join(converse(X0),join(zero,X_6)),join(X_6,converse(X0))) )],[refute_0_2219,refute_0_2220]) ).
cnf(refute_0_2222,plain,
join(converse(join(X0,composition(complement(composition(top,complement(one))),composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one)))))))),X_6) = join(X_6,converse(X0)),
inference(resolve,[$cnf( $equal(join(converse(join(X0,composition(complement(composition(top,complement(one))),composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one)))))))),X_6),join(converse(X0),join(zero,X_6))) )],[refute_0_2070,refute_0_2221]) ).
cnf(refute_0_2223,plain,
converse(join(X0,composition(complement(composition(top,complement(one))),composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one)))))))) = join(converse(X0),converse(composition(complement(composition(top,complement(one))),composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one)))))))),
inference(subst,[],[refute_0_11:[bind(X1,$fot(composition(complement(composition(top,complement(one))),composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one))))))))]]) ).
cnf(refute_0_2224,plain,
( converse(composition(complement(composition(top,complement(one))),composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one))))))) != zero
| converse(join(X0,composition(complement(composition(top,complement(one))),composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one)))))))) != join(converse(X0),converse(composition(complement(composition(top,complement(one))),composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one))))))))
| converse(join(X0,composition(complement(composition(top,complement(one))),composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one)))))))) = join(converse(X0),zero) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X0,composition(complement(composition(top,complement(one))),composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one)))))))),join(converse(X0),converse(composition(complement(composition(top,complement(one))),composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one))))))))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_2225,plain,
( converse(join(X0,composition(complement(composition(top,complement(one))),composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one)))))))) != join(converse(X0),converse(composition(complement(composition(top,complement(one))),composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one))))))))
| converse(join(X0,composition(complement(composition(top,complement(one))),composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one)))))))) = join(converse(X0),zero) ),
inference(resolve,[$cnf( $equal(converse(composition(complement(composition(top,complement(one))),composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one))))))),zero) )],[refute_0_2067,refute_0_2224]) ).
cnf(refute_0_2226,plain,
converse(join(X0,composition(complement(composition(top,complement(one))),composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one)))))))) = join(converse(X0),zero),
inference(resolve,[$cnf( $equal(converse(join(X0,composition(complement(composition(top,complement(one))),composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one)))))))),join(converse(X0),converse(composition(complement(composition(top,complement(one))),composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one))))))))) )],[refute_0_2223,refute_0_2225]) ).
cnf(refute_0_2227,plain,
join(converse(X0),zero) = join(zero,converse(X0)),
inference(subst,[],[refute_0_537:[bind(X_44,$fot(zero)),bind(X_45,$fot(converse(X0)))]]) ).
cnf(refute_0_2228,plain,
( join(converse(X0),zero) != join(zero,converse(X0))
| join(zero,converse(X0)) != converse(X0)
| join(converse(X0),zero) = converse(X0) ),
inference(subst,[],[refute_0_71:[bind(X,$fot(join(converse(X0),zero))),bind(Y,$fot(join(zero,converse(X0)))),bind(Z,$fot(converse(X0)))]]) ).
cnf(refute_0_2229,plain,
( join(zero,converse(X0)) != converse(X0)
| join(converse(X0),zero) = converse(X0) ),
inference(resolve,[$cnf( $equal(join(converse(X0),zero),join(zero,converse(X0))) )],[refute_0_2227,refute_0_2228]) ).
cnf(refute_0_2230,plain,
join(converse(X0),zero) = converse(X0),
inference(resolve,[$cnf( $equal(join(zero,converse(X0)),converse(X0)) )],[refute_0_1215,refute_0_2229]) ).
cnf(refute_0_2231,plain,
( converse(join(X0,composition(complement(composition(top,complement(one))),composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one)))))))) != join(converse(X0),zero)
| join(converse(X0),zero) != converse(X0)
| converse(join(X0,composition(complement(composition(top,complement(one))),composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one)))))))) = converse(X0) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(join(X0,composition(complement(composition(top,complement(one))),composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one)))))))),converse(X0)) ),[0],$fot(join(converse(X0),zero))]]) ).
cnf(refute_0_2232,plain,
( converse(join(X0,composition(complement(composition(top,complement(one))),composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one)))))))) != join(converse(X0),zero)
| converse(join(X0,composition(complement(composition(top,complement(one))),composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one)))))))) = converse(X0) ),
inference(resolve,[$cnf( $equal(join(converse(X0),zero),converse(X0)) )],[refute_0_2230,refute_0_2231]) ).
cnf(refute_0_2233,plain,
converse(join(X0,composition(complement(composition(top,complement(one))),composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one)))))))) = converse(X0),
inference(resolve,[$cnf( $equal(converse(join(X0,composition(complement(composition(top,complement(one))),composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one)))))))),join(converse(X0),zero)) )],[refute_0_2226,refute_0_2232]) ).
cnf(refute_0_2234,plain,
join(converse(join(X0,composition(complement(composition(top,complement(one))),composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one)))))))),X_6) = join(converse(join(X0,composition(complement(composition(top,complement(one))),composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one)))))))),X_6),
introduced(tautology,[refl,[$fot(join(converse(join(X0,composition(complement(composition(top,complement(one))),composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one)))))))),X_6))]]) ).
cnf(refute_0_2235,plain,
( converse(join(X0,composition(complement(composition(top,complement(one))),composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one)))))))) != converse(X0)
| join(converse(join(X0,composition(complement(composition(top,complement(one))),composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one)))))))),X_6) != join(converse(join(X0,composition(complement(composition(top,complement(one))),composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one)))))))),X_6)
| join(converse(join(X0,composition(complement(composition(top,complement(one))),composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one)))))))),X_6) = join(converse(X0),X_6) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(join(X0,composition(complement(composition(top,complement(one))),composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one)))))))),X_6),join(converse(join(X0,composition(complement(composition(top,complement(one))),composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one)))))))),X_6)) ),[1,0],$fot(converse(X0))]]) ).
cnf(refute_0_2236,plain,
( converse(join(X0,composition(complement(composition(top,complement(one))),composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one)))))))) != converse(X0)
| join(converse(join(X0,composition(complement(composition(top,complement(one))),composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one)))))))),X_6) = join(converse(X0),X_6) ),
inference(resolve,[$cnf( $equal(join(converse(join(X0,composition(complement(composition(top,complement(one))),composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one)))))))),X_6),join(converse(join(X0,composition(complement(composition(top,complement(one))),composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one)))))))),X_6)) )],[refute_0_2234,refute_0_2235]) ).
cnf(refute_0_2237,plain,
join(converse(join(X0,composition(complement(composition(top,complement(one))),composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one)))))))),X_6) = join(converse(X0),X_6),
inference(resolve,[$cnf( $equal(converse(join(X0,composition(complement(composition(top,complement(one))),composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one)))))))),converse(X0)) )],[refute_0_2233,refute_0_2236]) ).
cnf(refute_0_2238,plain,
( join(converse(join(X0,composition(complement(composition(top,complement(one))),composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one)))))))),X_6) != join(X_6,converse(X0))
| join(converse(join(X0,composition(complement(composition(top,complement(one))),composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one)))))))),X_6) != join(converse(X0),X_6)
| join(converse(X0),X_6) = join(X_6,converse(X0)) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(join(X0,composition(complement(composition(top,complement(one))),composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one)))))))),X_6),join(X_6,converse(X0))) ),[0],$fot(join(converse(X0),X_6))]]) ).
cnf(refute_0_2239,plain,
( join(converse(join(X0,composition(complement(composition(top,complement(one))),composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one)))))))),X_6) != join(X_6,converse(X0))
| join(converse(X0),X_6) = join(X_6,converse(X0)) ),
inference(resolve,[$cnf( $equal(join(converse(join(X0,composition(complement(composition(top,complement(one))),composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one)))))))),X_6),join(converse(X0),X_6)) )],[refute_0_2237,refute_0_2238]) ).
cnf(refute_0_2240,plain,
join(converse(X0),X_6) = join(X_6,converse(X0)),
inference(resolve,[$cnf( $equal(join(converse(join(X0,composition(complement(composition(top,complement(one))),composition(complement(composition(complement(composition(complement(one),top)),complement(one))),composition(complement(one),complement(composition(top,complement(one)))))))),X_6),join(X_6,converse(X0))) )],[refute_0_2222,refute_0_2239]) ).
cnf(refute_0_2241,plain,
join(converse(composition(X_427,complement(converse(composition(X_426,X_427))))),complement(X_426)) = join(complement(X_426),converse(composition(X_427,complement(converse(composition(X_426,X_427)))))),
inference(subst,[],[refute_0_2240:[bind(X0,$fot(composition(X_427,complement(converse(composition(X_426,X_427)))))),bind(X_6,$fot(complement(X_426)))]]) ).
cnf(refute_0_2242,plain,
converse(join(X_4,converse(complement(X_276)))) = join(converse(X_4),complement(X_276)),
inference(subst,[],[refute_0_231:[bind(X0,$fot(complement(X_276)))]]) ).
cnf(refute_0_2243,plain,
( converse(complement(X_276)) != complement(converse(X_276))
| converse(join(X_4,converse(complement(X_276)))) != join(converse(X_4),complement(X_276))
| converse(join(X_4,complement(converse(X_276)))) = join(converse(X_4),complement(X_276)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X_4,converse(complement(X_276)))),join(converse(X_4),complement(X_276))) ),[0,0,1],$fot(complement(converse(X_276)))]]) ).
cnf(refute_0_2244,plain,
( converse(join(X_4,converse(complement(X_276)))) != join(converse(X_4),complement(X_276))
| converse(join(X_4,complement(converse(X_276)))) = join(converse(X_4),complement(X_276)) ),
inference(resolve,[$cnf( $equal(converse(complement(X_276)),complement(converse(X_276))) )],[refute_0_1096,refute_0_2243]) ).
cnf(refute_0_2245,plain,
converse(join(X_4,complement(converse(X_276)))) = join(converse(X_4),complement(X_276)),
inference(resolve,[$cnf( $equal(converse(join(X_4,converse(complement(X_276)))),join(converse(X_4),complement(X_276))) )],[refute_0_2242,refute_0_2244]) ).
cnf(refute_0_2246,plain,
converse(join(composition(X_427,complement(converse(composition(X_426,X_427)))),complement(converse(X_426)))) = join(converse(composition(X_427,complement(converse(composition(X_426,X_427))))),complement(X_426)),
inference(subst,[],[refute_0_2245:[bind(X_276,$fot(X_426)),bind(X_4,$fot(composition(X_427,complement(converse(composition(X_426,X_427))))))]]) ).
cnf(refute_0_2247,plain,
( converse(join(composition(X_427,complement(converse(composition(X_426,X_427)))),complement(converse(X_426)))) != join(converse(composition(X_427,complement(converse(composition(X_426,X_427))))),complement(X_426))
| join(converse(composition(X_427,complement(converse(composition(X_426,X_427))))),complement(X_426)) != join(complement(X_426),converse(composition(X_427,complement(converse(composition(X_426,X_427))))))
| converse(join(composition(X_427,complement(converse(composition(X_426,X_427)))),complement(converse(X_426)))) = join(complement(X_426),converse(composition(X_427,complement(converse(composition(X_426,X_427)))))) ),
inference(subst,[],[refute_0_71:[bind(X,$fot(converse(join(composition(X_427,complement(converse(composition(X_426,X_427)))),complement(converse(X_426)))))),bind(Y,$fot(join(converse(composition(X_427,complement(converse(composition(X_426,X_427))))),complement(X_426)))),bind(Z,$fot(join(complement(X_426),converse(composition(X_427,complement(converse(composition(X_426,X_427))))))))]]) ).
cnf(refute_0_2248,plain,
( join(converse(composition(X_427,complement(converse(composition(X_426,X_427))))),complement(X_426)) != join(complement(X_426),converse(composition(X_427,complement(converse(composition(X_426,X_427))))))
| converse(join(composition(X_427,complement(converse(composition(X_426,X_427)))),complement(converse(X_426)))) = join(complement(X_426),converse(composition(X_427,complement(converse(composition(X_426,X_427)))))) ),
inference(resolve,[$cnf( $equal(converse(join(composition(X_427,complement(converse(composition(X_426,X_427)))),complement(converse(X_426)))),join(converse(composition(X_427,complement(converse(composition(X_426,X_427))))),complement(X_426))) )],[refute_0_2246,refute_0_2247]) ).
cnf(refute_0_2249,plain,
converse(join(composition(X_427,complement(converse(composition(X_426,X_427)))),complement(converse(X_426)))) = join(complement(X_426),converse(composition(X_427,complement(converse(composition(X_426,X_427)))))),
inference(resolve,[$cnf( $equal(join(converse(composition(X_427,complement(converse(composition(X_426,X_427))))),complement(X_426)),join(complement(X_426),converse(composition(X_427,complement(converse(composition(X_426,X_427))))))) )],[refute_0_2241,refute_0_2248]) ).
cnf(refute_0_2250,plain,
( converse(join(composition(X_427,complement(converse(composition(X_426,X_427)))),complement(converse(X_426)))) != join(complement(X_426),converse(composition(X_427,complement(converse(composition(X_426,X_427))))))
| join(complement(X_426),converse(composition(X_427,complement(converse(composition(X_426,X_427)))))) != join(complement(X_426),composition(complement(composition(X_426,X_427)),converse(X_427)))
| converse(join(composition(X_427,complement(converse(composition(X_426,X_427)))),complement(converse(X_426)))) = join(complement(X_426),composition(complement(composition(X_426,X_427)),converse(X_427))) ),
inference(subst,[],[refute_0_71:[bind(X,$fot(converse(join(composition(X_427,complement(converse(composition(X_426,X_427)))),complement(converse(X_426)))))),bind(Y,$fot(join(complement(X_426),converse(composition(X_427,complement(converse(composition(X_426,X_427)))))))),bind(Z,$fot(join(complement(X_426),composition(complement(composition(X_426,X_427)),converse(X_427)))))]]) ).
cnf(refute_0_2251,plain,
( join(complement(X_426),converse(composition(X_427,complement(converse(composition(X_426,X_427)))))) != join(complement(X_426),composition(complement(composition(X_426,X_427)),converse(X_427)))
| converse(join(composition(X_427,complement(converse(composition(X_426,X_427)))),complement(converse(X_426)))) = join(complement(X_426),composition(complement(composition(X_426,X_427)),converse(X_427))) ),
inference(resolve,[$cnf( $equal(converse(join(composition(X_427,complement(converse(composition(X_426,X_427)))),complement(converse(X_426)))),join(complement(X_426),converse(composition(X_427,complement(converse(composition(X_426,X_427))))))) )],[refute_0_2249,refute_0_2250]) ).
cnf(refute_0_2252,plain,
converse(join(composition(X_427,complement(converse(composition(X_426,X_427)))),complement(converse(X_426)))) = join(complement(X_426),composition(complement(composition(X_426,X_427)),converse(X_427))),
inference(resolve,[$cnf( $equal(join(complement(X_426),converse(composition(X_427,complement(converse(composition(X_426,X_427)))))),join(complement(X_426),composition(complement(composition(X_426,X_427)),converse(X_427)))) )],[refute_0_1104,refute_0_2251]) ).
cnf(refute_0_2253,plain,
( converse(join(composition(X_427,complement(converse(composition(X_426,X_427)))),complement(converse(X_426)))) != converse(complement(converse(X_426)))
| converse(join(composition(X_427,complement(converse(composition(X_426,X_427)))),complement(converse(X_426)))) != join(complement(X_426),composition(complement(composition(X_426,X_427)),converse(X_427)))
| join(complement(X_426),composition(complement(composition(X_426,X_427)),converse(X_427))) = converse(complement(converse(X_426))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(composition(X_427,complement(converse(composition(X_426,X_427)))),complement(converse(X_426)))),converse(complement(converse(X_426)))) ),[0],$fot(join(complement(X_426),composition(complement(composition(X_426,X_427)),converse(X_427))))]]) ).
cnf(refute_0_2254,plain,
( converse(join(composition(X_427,complement(converse(composition(X_426,X_427)))),complement(converse(X_426)))) != converse(complement(converse(X_426)))
| join(complement(X_426),composition(complement(composition(X_426,X_427)),converse(X_427))) = converse(complement(converse(X_426))) ),
inference(resolve,[$cnf( $equal(converse(join(composition(X_427,complement(converse(composition(X_426,X_427)))),complement(converse(X_426)))),join(complement(X_426),composition(complement(composition(X_426,X_427)),converse(X_427)))) )],[refute_0_2252,refute_0_2253]) ).
cnf(refute_0_2255,plain,
converse(converse(X_426)) = X_426,
inference(subst,[],[refute_0_35:[bind(X0,$fot(X_426))]]) ).
cnf(refute_0_2256,plain,
complement(converse(converse(X_426))) = complement(converse(converse(X_426))),
introduced(tautology,[refl,[$fot(complement(converse(converse(X_426))))]]) ).
cnf(refute_0_2257,plain,
( complement(converse(converse(X_426))) != complement(converse(converse(X_426)))
| converse(converse(X_426)) != X_426
| complement(converse(converse(X_426))) = complement(X_426) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(converse(X_426))),complement(converse(converse(X_426)))) ),[1,0],$fot(X_426)]]) ).
cnf(refute_0_2258,plain,
( converse(converse(X_426)) != X_426
| complement(converse(converse(X_426))) = complement(X_426) ),
inference(resolve,[$cnf( $equal(complement(converse(converse(X_426))),complement(converse(converse(X_426)))) )],[refute_0_2256,refute_0_2257]) ).
cnf(refute_0_2259,plain,
complement(converse(converse(X_426))) = complement(X_426),
inference(resolve,[$cnf( $equal(converse(converse(X_426)),X_426) )],[refute_0_2255,refute_0_2258]) ).
cnf(refute_0_2260,plain,
converse(complement(converse(X_426))) = complement(converse(converse(X_426))),
inference(subst,[],[refute_0_1095:[bind(X_275,$fot(converse(X_426)))]]) ).
cnf(refute_0_2261,plain,
( complement(converse(converse(X_426))) != complement(X_426)
| converse(complement(converse(X_426))) != complement(converse(converse(X_426)))
| converse(complement(converse(X_426))) = complement(X_426) ),
inference(subst,[],[refute_0_71:[bind(X,$fot(converse(complement(converse(X_426))))),bind(Y,$fot(complement(converse(converse(X_426))))),bind(Z,$fot(complement(X_426)))]]) ).
cnf(refute_0_2262,plain,
( complement(converse(converse(X_426))) != complement(X_426)
| converse(complement(converse(X_426))) = complement(X_426) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(X_426))),complement(converse(converse(X_426)))) )],[refute_0_2260,refute_0_2261]) ).
cnf(refute_0_2263,plain,
converse(complement(converse(X_426))) = complement(X_426),
inference(resolve,[$cnf( $equal(complement(converse(converse(X_426))),complement(X_426)) )],[refute_0_2259,refute_0_2262]) ).
cnf(refute_0_2264,plain,
( converse(complement(converse(X_426))) != complement(X_426)
| join(complement(X_426),composition(complement(composition(X_426,X_427)),converse(X_427))) != converse(complement(converse(X_426)))
| join(complement(X_426),composition(complement(composition(X_426,X_427)),converse(X_427))) = complement(X_426) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_426),composition(complement(composition(X_426,X_427)),converse(X_427))),converse(complement(converse(X_426)))) ),[1],$fot(complement(X_426))]]) ).
cnf(refute_0_2265,plain,
( join(complement(X_426),composition(complement(composition(X_426,X_427)),converse(X_427))) != converse(complement(converse(X_426)))
| join(complement(X_426),composition(complement(composition(X_426,X_427)),converse(X_427))) = complement(X_426) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(X_426))),complement(X_426)) )],[refute_0_2263,refute_0_2264]) ).
cnf(refute_0_2266,plain,
( converse(join(composition(X_427,complement(converse(composition(X_426,X_427)))),complement(converse(X_426)))) != converse(complement(converse(X_426)))
| join(complement(X_426),composition(complement(composition(X_426,X_427)),converse(X_427))) = complement(X_426) ),
inference(resolve,[$cnf( $equal(join(complement(X_426),composition(complement(composition(X_426,X_427)),converse(X_427))),converse(complement(converse(X_426)))) )],[refute_0_2254,refute_0_2265]) ).
cnf(refute_0_2267,plain,
join(complement(X_426),composition(complement(composition(X_426,X_427)),converse(X_427))) = complement(X_426),
inference(resolve,[$cnf( $equal(converse(join(composition(X_427,complement(converse(composition(X_426,X_427)))),complement(converse(X_426)))),converse(complement(converse(X_426)))) )],[refute_0_51,refute_0_2266]) ).
cnf(refute_0_2268,plain,
join(complement(skolemFOFtoCNF_X0),composition(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),converse(skolemFOFtoCNF_X1))) = complement(skolemFOFtoCNF_X0),
inference(subst,[],[refute_0_2267:[bind(X_426,$fot(skolemFOFtoCNF_X0)),bind(X_427,$fot(skolemFOFtoCNF_X1))]]) ).
cnf(refute_0_2269,plain,
( complement(skolemFOFtoCNF_X0) != complement(skolemFOFtoCNF_X0)
| join(complement(skolemFOFtoCNF_X0),composition(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),converse(skolemFOFtoCNF_X1))) != complement(skolemFOFtoCNF_X0)
| join(complement(skolemFOFtoCNF_X0),composition(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),converse(skolemFOFtoCNF_X1))) = complement(skolemFOFtoCNF_X0) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),composition(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),converse(skolemFOFtoCNF_X1))),complement(skolemFOFtoCNF_X0)) ),[0,0],$fot(complement(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_2270,plain,
( complement(skolemFOFtoCNF_X0) != complement(skolemFOFtoCNF_X0)
| join(complement(skolemFOFtoCNF_X0),composition(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),converse(skolemFOFtoCNF_X1))) = complement(skolemFOFtoCNF_X0) ),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),composition(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),converse(skolemFOFtoCNF_X1))),complement(skolemFOFtoCNF_X0)) )],[refute_0_2268,refute_0_2269]) ).
cnf(refute_0_2271,plain,
complement(skolemFOFtoCNF_X0) != complement(skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(join(complement(skolemFOFtoCNF_X0),composition(complement(composition(skolemFOFtoCNF_X0,skolemFOFtoCNF_X1)),converse(skolemFOFtoCNF_X1))),complement(skolemFOFtoCNF_X0)) )],[refute_0_2270,refute_0_10]) ).
cnf(refute_0_2272,plain,
complement(skolemFOFtoCNF_X0) = complement(skolemFOFtoCNF_X0),
introduced(tautology,[refl,[$fot(complement(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_2273,plain,
$false,
inference(resolve,[$cnf( $equal(complement(skolemFOFtoCNF_X0),complement(skolemFOFtoCNF_X0)) )],[refute_0_2272,refute_0_2271]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : REL012+1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.35 % Computer : n023.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Fri Jul 8 10:26:11 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 7.56/7.72 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.56/7.72
% 7.56/7.72 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 7.87/8.03
%------------------------------------------------------------------------------