TSTP Solution File: REL050+3 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : REL050+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n029.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Mon Jul 18 19:46:26 EDT 2022
% Result : Theorem 18.94s 19.12s
% Output : CNFRefutation 19.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 163
% Number of leaves : 364
% Syntax : Number of formulae : 1614 ( 837 unt; 0 def)
% Number of atoms : 2724 (2723 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 2225 (1115 ~;1110 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 2156 ( 24 sgn 78 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(maddux1_join_commutativity,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0) ).
fof(maddux2_join_associativity,axiom,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2) ).
fof(maddux3_a_kind_of_de_Morgan,axiom,
! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) ).
fof(maddux4_definiton_of_meet,axiom,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))) ).
fof(composition_associativity,axiom,
! [X0,X1,X2] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2) ).
fof(composition_identity,axiom,
! [X0] : composition(X0,one) = X0 ).
fof(composition_distributivity,axiom,
! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)) ).
fof(converse_idempotence,axiom,
! [X0] : converse(converse(X0)) = X0 ).
fof(converse_additivity,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)) ).
fof(converse_multiplicativity,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)) ).
fof(converse_cancellativity,axiom,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1) ).
fof(def_top,axiom,
! [X0] : top = join(X0,complement(X0)) ).
fof(def_zero,axiom,
! [X0] : zero = meet(X0,complement(X0)) ).
fof(goals,conjecture,
! [X0] : complement(composition(X0,top)) = composition(complement(composition(X0,top)),top) ).
fof(subgoal_0,plain,
! [X0] : complement(composition(X0,top)) = composition(complement(composition(X0,top)),top),
inference(strip,[],[goals]) ).
fof(negate_0_0,plain,
~ ! [X0] : complement(composition(X0,top)) = composition(complement(composition(X0,top)),top),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [X0] : complement(composition(X0,top)) != composition(complement(composition(X0,top)),top),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
complement(composition(skolemFOFtoCNF_X0,top)) != composition(complement(composition(skolemFOFtoCNF_X0,top)),top),
inference(skolemize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [X0] : converse(converse(X0)) = X0,
inference(canonicalize,[],[converse_idempotence]) ).
fof(normalize_0_3,plain,
! [X0] : converse(converse(X0)) = X0,
inference(specialize,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
inference(canonicalize,[],[converse_cancellativity]) ).
fof(normalize_0_5,plain,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
inference(specialize,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(canonicalize,[],[maddux1_join_commutativity]) ).
fof(normalize_0_7,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(specialize,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
! [X0,X1,X2] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
inference(canonicalize,[],[composition_associativity]) ).
fof(normalize_0_9,plain,
! [X0,X1,X2] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
inference(specialize,[],[normalize_0_8]) ).
fof(normalize_0_10,plain,
! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(canonicalize,[],[composition_distributivity]) ).
fof(normalize_0_11,plain,
! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(specialize,[],[normalize_0_10]) ).
fof(normalize_0_12,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(canonicalize,[],[converse_multiplicativity]) ).
fof(normalize_0_13,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(specialize,[],[normalize_0_12]) ).
fof(normalize_0_14,plain,
! [X0] : composition(X0,one) = X0,
inference(canonicalize,[],[composition_identity]) ).
fof(normalize_0_15,plain,
! [X0] : composition(X0,one) = X0,
inference(specialize,[],[normalize_0_14]) ).
fof(normalize_0_16,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(canonicalize,[],[maddux2_join_associativity]) ).
fof(normalize_0_17,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(specialize,[],[normalize_0_16]) ).
fof(normalize_0_18,plain,
! [X0] : 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] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
inference(canonicalize,[],[maddux3_a_kind_of_de_Morgan]) ).
fof(normalize_0_21,plain,
! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
inference(specialize,[],[normalize_0_20]) ).
fof(normalize_0_22,plain,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
inference(canonicalize,[],[maddux4_definiton_of_meet]) ).
fof(normalize_0_23,plain,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
inference(specialize,[],[normalize_0_22]) ).
fof(normalize_0_24,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(canonicalize,[],[def_zero]) ).
fof(normalize_0_25,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(specialize,[],[normalize_0_24]) ).
fof(normalize_0_26,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(canonicalize,[],[converse_additivity]) ).
fof(normalize_0_27,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(specialize,[],[normalize_0_26]) ).
cnf(refute_0_0,plain,
complement(composition(skolemFOFtoCNF_X0,top)) != composition(complement(composition(skolemFOFtoCNF_X0,top)),top),
inference(canonicalize,[],[normalize_0_1]) ).
cnf(refute_0_1,plain,
converse(converse(X0)) = X0,
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_2,plain,
converse(converse(composition(complement(composition(X_594,top)),top))) = composition(complement(composition(X_594,top)),top),
inference(subst,[],[refute_0_1:[bind(X0,$fot(composition(complement(composition(X_594,top)),top)))]]) ).
cnf(refute_0_3,plain,
join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
inference(canonicalize,[],[normalize_0_5]) ).
cnf(refute_0_4,plain,
join(X0,X1) = join(X1,X0),
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_5,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_6,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_7,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_5,refute_0_6]) ).
cnf(refute_0_8,plain,
( join(X0,X1) != join(X1,X0)
| join(X1,X0) = join(X0,X1) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(X0,X1))),bind(Y,$fot(join(X1,X0)))]]) ).
cnf(refute_0_9,plain,
join(X1,X0) = join(X0,X1),
inference(resolve,[$cnf( $equal(join(X0,X1),join(X1,X0)) )],[refute_0_4,refute_0_8]) ).
cnf(refute_0_10,plain,
join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))),
inference(subst,[],[refute_0_9:[bind(X0,$fot(complement(X1))),bind(X1,$fot(composition(converse(X0),complement(composition(X0,X1)))))]]) ).
cnf(refute_0_11,plain,
( join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) != complement(X1)
| join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) != join(complement(X1),composition(converse(X0),complement(composition(X0,X1))))
| join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))) = complement(X1) ),
introduced(tautology,[equality,[$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_12,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( $equal(join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),join(complement(X1),composition(converse(X0),complement(composition(X0,X1))))) )],[refute_0_10,refute_0_11]) ).
cnf(refute_0_13,plain,
join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))) = complement(X1),
inference(resolve,[$cnf( $equal(join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),complement(X1)) )],[refute_0_3,refute_0_12]) ).
cnf(refute_0_14,plain,
join(complement(composition(top,X_166)),composition(converse(top),complement(composition(top,composition(top,X_166))))) = complement(composition(top,X_166)),
inference(subst,[],[refute_0_13:[bind(X0,$fot(top)),bind(X1,$fot(composition(top,X_166)))]]) ).
cnf(refute_0_15,plain,
composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_16,plain,
composition(top,composition(top,X2)) = composition(composition(top,top),X2),
inference(subst,[],[refute_0_15:[bind(X0,$fot(top)),bind(X1,$fot(top))]]) ).
cnf(refute_0_17,plain,
composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(canonicalize,[],[normalize_0_11]) ).
cnf(refute_0_18,plain,
composition(join(X_31,one),X_33) = join(composition(X_31,X_33),composition(one,X_33)),
inference(subst,[],[refute_0_17:[bind(X0,$fot(X_31)),bind(X1,$fot(one)),bind(X2,$fot(X_33))]]) ).
cnf(refute_0_19,plain,
converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(canonicalize,[],[normalize_0_13]) ).
cnf(refute_0_20,plain,
converse(composition(converse(X0),X_5)) = composition(converse(X_5),converse(converse(X0))),
inference(subst,[],[refute_0_19:[bind(X0,$fot(converse(X0))),bind(X1,$fot(X_5))]]) ).
cnf(refute_0_21,plain,
( converse(composition(converse(X0),X_5)) != composition(converse(X_5),converse(converse(X0)))
| converse(converse(X0)) != X0
| converse(composition(converse(X0),X_5)) = composition(converse(X_5),X0) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(X0),X_5)),composition(converse(X_5),converse(converse(X0)))) ),[1,1],$fot(X0)]]) ).
cnf(refute_0_22,plain,
( converse(composition(converse(X0),X_5)) != composition(converse(X_5),converse(converse(X0)))
| converse(composition(converse(X0),X_5)) = composition(converse(X_5),X0) ),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_0_1,refute_0_21]) ).
cnf(refute_0_23,plain,
converse(composition(converse(X0),X_5)) = composition(converse(X_5),X0),
inference(resolve,[$cnf( $equal(converse(composition(converse(X0),X_5)),composition(converse(X_5),converse(converse(X0)))) )],[refute_0_20,refute_0_22]) ).
cnf(refute_0_24,plain,
converse(composition(converse(X_8),one)) = composition(converse(one),X_8),
inference(subst,[],[refute_0_23:[bind(X0,$fot(X_8)),bind(X_5,$fot(one))]]) ).
cnf(refute_0_25,plain,
composition(X0,one) = X0,
inference(canonicalize,[],[normalize_0_15]) ).
cnf(refute_0_26,plain,
composition(converse(X_8),one) = converse(X_8),
inference(subst,[],[refute_0_25:[bind(X0,$fot(converse(X_8)))]]) ).
cnf(refute_0_27,plain,
( composition(converse(X_8),one) != converse(X_8)
| converse(composition(converse(X_8),one)) != composition(converse(one),X_8)
| converse(converse(X_8)) = composition(converse(one),X_8) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(converse(X_8),one)),composition(converse(one),X_8)) ),[0,0],$fot(converse(X_8))]]) ).
cnf(refute_0_28,plain,
( converse(composition(converse(X_8),one)) != composition(converse(one),X_8)
| converse(converse(X_8)) = composition(converse(one),X_8) ),
inference(resolve,[$cnf( $equal(composition(converse(X_8),one),converse(X_8)) )],[refute_0_26,refute_0_27]) ).
cnf(refute_0_29,plain,
converse(converse(X_8)) = composition(converse(one),X_8),
inference(resolve,[$cnf( $equal(converse(composition(converse(X_8),one)),composition(converse(one),X_8)) )],[refute_0_24,refute_0_28]) ).
cnf(refute_0_30,plain,
converse(converse(X_8)) = X_8,
inference(subst,[],[refute_0_1:[bind(X0,$fot(X_8))]]) ).
cnf(refute_0_31,plain,
( converse(converse(X_8)) != X_8
| converse(converse(X_8)) != composition(converse(one),X_8)
| X_8 = composition(converse(one),X_8) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(X_8)),composition(converse(one),X_8)) ),[0],$fot(X_8)]]) ).
cnf(refute_0_32,plain,
( converse(converse(X_8)) != composition(converse(one),X_8)
| X_8 = composition(converse(one),X_8) ),
inference(resolve,[$cnf( $equal(converse(converse(X_8)),X_8) )],[refute_0_30,refute_0_31]) ).
cnf(refute_0_33,plain,
X_8 = composition(converse(one),X_8),
inference(resolve,[$cnf( $equal(converse(converse(X_8)),composition(converse(one),X_8)) )],[refute_0_29,refute_0_32]) ).
cnf(refute_0_34,plain,
composition(converse(one),one) = converse(one),
inference(subst,[],[refute_0_25:[bind(X0,$fot(converse(one)))]]) ).
cnf(refute_0_35,plain,
one = composition(converse(one),one),
inference(subst,[],[refute_0_33:[bind(X_8,$fot(one))]]) ).
cnf(refute_0_36,plain,
( one != composition(converse(one),one)
| composition(converse(one),one) = one ),
inference(subst,[],[refute_0_7:[bind(X,$fot(one)),bind(Y,$fot(composition(converse(one),one)))]]) ).
cnf(refute_0_37,plain,
composition(converse(one),one) = one,
inference(resolve,[$cnf( $equal(one,composition(converse(one),one)) )],[refute_0_35,refute_0_36]) ).
cnf(refute_0_38,plain,
( composition(converse(one),one) != converse(one)
| composition(converse(one),one) != one
| one = converse(one) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(one),one),converse(one)) ),[0],$fot(one)]]) ).
cnf(refute_0_39,plain,
( composition(converse(one),one) != converse(one)
| one = converse(one) ),
inference(resolve,[$cnf( $equal(composition(converse(one),one),one) )],[refute_0_37,refute_0_38]) ).
cnf(refute_0_40,plain,
one = converse(one),
inference(resolve,[$cnf( $equal(composition(converse(one),one),converse(one)) )],[refute_0_34,refute_0_39]) ).
cnf(refute_0_41,plain,
( one != converse(one)
| converse(one) = one ),
inference(subst,[],[refute_0_7:[bind(X,$fot(one)),bind(Y,$fot(converse(one)))]]) ).
cnf(refute_0_42,plain,
converse(one) = one,
inference(resolve,[$cnf( $equal(one,converse(one)) )],[refute_0_40,refute_0_41]) ).
cnf(refute_0_43,plain,
composition(converse(one),X_8) = composition(converse(one),X_8),
introduced(tautology,[refl,[$fot(composition(converse(one),X_8))]]) ).
cnf(refute_0_44,plain,
( composition(converse(one),X_8) != composition(converse(one),X_8)
| converse(one) != one
| composition(converse(one),X_8) = composition(one,X_8) ),
introduced(tautology,[equality,[$cnf( $equal(composition(converse(one),X_8),composition(converse(one),X_8)) ),[1,0],$fot(one)]]) ).
cnf(refute_0_45,plain,
( converse(one) != one
| composition(converse(one),X_8) = composition(one,X_8) ),
inference(resolve,[$cnf( $equal(composition(converse(one),X_8),composition(converse(one),X_8)) )],[refute_0_43,refute_0_44]) ).
cnf(refute_0_46,plain,
composition(converse(one),X_8) = composition(one,X_8),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_42,refute_0_45]) ).
cnf(refute_0_47,plain,
( X_8 != composition(converse(one),X_8)
| composition(converse(one),X_8) != composition(one,X_8)
| X_8 = composition(one,X_8) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_8,composition(one,X_8)) ),[0],$fot(composition(converse(one),X_8))]]) ).
cnf(refute_0_48,plain,
( X_8 != composition(converse(one),X_8)
| X_8 = composition(one,X_8) ),
inference(resolve,[$cnf( $equal(composition(converse(one),X_8),composition(one,X_8)) )],[refute_0_46,refute_0_47]) ).
cnf(refute_0_49,plain,
X_8 = composition(one,X_8),
inference(resolve,[$cnf( $equal(X_8,composition(converse(one),X_8)) )],[refute_0_33,refute_0_48]) ).
cnf(refute_0_50,plain,
X_33 = composition(one,X_33),
inference(subst,[],[refute_0_49:[bind(X_8,$fot(X_33))]]) ).
cnf(refute_0_51,plain,
( X_33 != composition(one,X_33)
| composition(one,X_33) = X_33 ),
inference(subst,[],[refute_0_7:[bind(X,$fot(X_33)),bind(Y,$fot(composition(one,X_33)))]]) ).
cnf(refute_0_52,plain,
composition(one,X_33) = X_33,
inference(resolve,[$cnf( $equal(X_33,composition(one,X_33)) )],[refute_0_50,refute_0_51]) ).
cnf(refute_0_53,plain,
( composition(join(X_31,one),X_33) != join(composition(X_31,X_33),composition(one,X_33))
| composition(one,X_33) != X_33
| composition(join(X_31,one),X_33) = join(composition(X_31,X_33),X_33) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X_31,one),X_33),join(composition(X_31,X_33),composition(one,X_33))) ),[1,1],$fot(X_33)]]) ).
cnf(refute_0_54,plain,
( composition(join(X_31,one),X_33) != join(composition(X_31,X_33),composition(one,X_33))
| composition(join(X_31,one),X_33) = join(composition(X_31,X_33),X_33) ),
inference(resolve,[$cnf( $equal(composition(one,X_33),X_33) )],[refute_0_52,refute_0_53]) ).
cnf(refute_0_55,plain,
composition(join(X_31,one),X_33) = join(composition(X_31,X_33),X_33),
inference(resolve,[$cnf( $equal(composition(join(X_31,one),X_33),join(composition(X_31,X_33),composition(one,X_33))) )],[refute_0_18,refute_0_54]) ).
cnf(refute_0_56,plain,
join(composition(X_31,X_33),X_33) = join(X_33,composition(X_31,X_33)),
inference(subst,[],[refute_0_9:[bind(X0,$fot(X_33)),bind(X1,$fot(composition(X_31,X_33)))]]) ).
cnf(refute_0_57,plain,
( composition(join(X_31,one),X_33) != join(composition(X_31,X_33),X_33)
| join(composition(X_31,X_33),X_33) != join(X_33,composition(X_31,X_33))
| composition(join(X_31,one),X_33) = join(X_33,composition(X_31,X_33)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(X_31,one),X_33),join(X_33,composition(X_31,X_33))) ),[0],$fot(join(composition(X_31,X_33),X_33))]]) ).
cnf(refute_0_58,plain,
( composition(join(X_31,one),X_33) != join(composition(X_31,X_33),X_33)
| composition(join(X_31,one),X_33) = join(X_33,composition(X_31,X_33)) ),
inference(resolve,[$cnf( $equal(join(composition(X_31,X_33),X_33),join(X_33,composition(X_31,X_33))) )],[refute_0_56,refute_0_57]) ).
cnf(refute_0_59,plain,
composition(join(X_31,one),X_33) = join(X_33,composition(X_31,X_33)),
inference(resolve,[$cnf( $equal(composition(join(X_31,one),X_33),join(composition(X_31,X_33),X_33)) )],[refute_0_55,refute_0_58]) ).
cnf(refute_0_60,plain,
composition(join(X_31,one),top) = join(top,composition(X_31,top)),
inference(subst,[],[refute_0_59:[bind(X_33,$fot(top))]]) ).
cnf(refute_0_61,plain,
join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(canonicalize,[],[normalize_0_17]) ).
cnf(refute_0_62,plain,
join(X_96,join(complement(X_96),X_98)) = join(join(X_96,complement(X_96)),X_98),
inference(subst,[],[refute_0_61:[bind(X0,$fot(X_96)),bind(X1,$fot(complement(X_96))),bind(X2,$fot(X_98))]]) ).
cnf(refute_0_63,plain,
top = join(X0,complement(X0)),
inference(canonicalize,[],[normalize_0_19]) ).
cnf(refute_0_64,plain,
top = join(X_96,complement(X_96)),
inference(subst,[],[refute_0_63:[bind(X0,$fot(X_96))]]) ).
cnf(refute_0_65,plain,
( top != join(X_96,complement(X_96))
| join(X_96,complement(X_96)) = top ),
inference(subst,[],[refute_0_7:[bind(X,$fot(top)),bind(Y,$fot(join(X_96,complement(X_96))))]]) ).
cnf(refute_0_66,plain,
join(X_96,complement(X_96)) = top,
inference(resolve,[$cnf( $equal(top,join(X_96,complement(X_96))) )],[refute_0_64,refute_0_65]) ).
cnf(refute_0_67,plain,
( join(X_96,complement(X_96)) != top
| join(X_96,join(complement(X_96),X_98)) != join(join(X_96,complement(X_96)),X_98)
| join(X_96,join(complement(X_96),X_98)) = join(top,X_98) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_96,join(complement(X_96),X_98)),join(join(X_96,complement(X_96)),X_98)) ),[1,0],$fot(top)]]) ).
cnf(refute_0_68,plain,
( join(X_96,join(complement(X_96),X_98)) != join(join(X_96,complement(X_96)),X_98)
| join(X_96,join(complement(X_96),X_98)) = join(top,X_98) ),
inference(resolve,[$cnf( $equal(join(X_96,complement(X_96)),top) )],[refute_0_66,refute_0_67]) ).
cnf(refute_0_69,plain,
join(X_96,join(complement(X_96),X_98)) = join(top,X_98),
inference(resolve,[$cnf( $equal(join(X_96,join(complement(X_96),X_98)),join(join(X_96,complement(X_96)),X_98)) )],[refute_0_62,refute_0_68]) ).
cnf(refute_0_70,plain,
join(X_101,join(complement(X_101),X_102)) = join(top,X_102),
inference(subst,[],[refute_0_69:[bind(X_96,$fot(X_101)),bind(X_98,$fot(X_102))]]) ).
cnf(refute_0_71,plain,
join(X_102,top) = join(top,X_102),
inference(subst,[],[refute_0_4:[bind(X0,$fot(X_102)),bind(X1,$fot(top))]]) ).
cnf(refute_0_72,plain,
( join(X_102,top) != join(top,X_102)
| join(top,X_102) = join(X_102,top) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(X_102,top))),bind(Y,$fot(join(top,X_102)))]]) ).
cnf(refute_0_73,plain,
join(top,X_102) = join(X_102,top),
inference(resolve,[$cnf( $equal(join(X_102,top),join(top,X_102)) )],[refute_0_71,refute_0_72]) ).
cnf(refute_0_74,plain,
( join(X_101,join(complement(X_101),X_102)) != join(top,X_102)
| join(top,X_102) != join(X_102,top)
| join(X_101,join(complement(X_101),X_102)) = join(X_102,top) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_101,join(complement(X_101),X_102)),join(X_102,top)) ),[0],$fot(join(top,X_102))]]) ).
cnf(refute_0_75,plain,
( join(X_101,join(complement(X_101),X_102)) != join(top,X_102)
| join(X_101,join(complement(X_101),X_102)) = join(X_102,top) ),
inference(resolve,[$cnf( $equal(join(top,X_102),join(X_102,top)) )],[refute_0_73,refute_0_74]) ).
cnf(refute_0_76,plain,
join(X_101,join(complement(X_101),X_102)) = join(X_102,top),
inference(resolve,[$cnf( $equal(join(X_101,join(complement(X_101),X_102)),join(top,X_102)) )],[refute_0_70,refute_0_75]) ).
cnf(refute_0_77,plain,
( join(X_101,join(complement(X_101),X_102)) != join(X_102,top)
| join(X_101,join(complement(X_101),X_102)) != join(top,X_102)
| join(top,X_102) = join(X_102,top) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_101,join(complement(X_101),X_102)),join(X_102,top)) ),[0],$fot(join(top,X_102))]]) ).
cnf(refute_0_78,plain,
( join(X_101,join(complement(X_101),X_102)) != join(X_102,top)
| join(top,X_102) = join(X_102,top) ),
inference(resolve,[$cnf( $equal(join(X_101,join(complement(X_101),X_102)),join(top,X_102)) )],[refute_0_70,refute_0_77]) ).
cnf(refute_0_79,plain,
join(X_101,join(complement(X_101),complement(complement(X_101)))) = join(top,complement(complement(X_101))),
inference(subst,[],[refute_0_69:[bind(X_96,$fot(X_101)),bind(X_98,$fot(complement(complement(X_101))))]]) ).
cnf(refute_0_80,plain,
top = join(complement(X_101),complement(complement(X_101))),
inference(subst,[],[refute_0_63:[bind(X0,$fot(complement(X_101)))]]) ).
cnf(refute_0_81,plain,
( top != join(complement(X_101),complement(complement(X_101)))
| join(complement(X_101),complement(complement(X_101))) = top ),
inference(subst,[],[refute_0_7:[bind(X,$fot(top)),bind(Y,$fot(join(complement(X_101),complement(complement(X_101)))))]]) ).
cnf(refute_0_82,plain,
join(complement(X_101),complement(complement(X_101))) = top,
inference(resolve,[$cnf( $equal(top,join(complement(X_101),complement(complement(X_101)))) )],[refute_0_80,refute_0_81]) ).
cnf(refute_0_83,plain,
( join(X_101,join(complement(X_101),complement(complement(X_101)))) != join(top,complement(complement(X_101)))
| join(complement(X_101),complement(complement(X_101))) != top
| join(X_101,top) = join(top,complement(complement(X_101))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_101,join(complement(X_101),complement(complement(X_101)))),join(top,complement(complement(X_101)))) ),[0,1],$fot(top)]]) ).
cnf(refute_0_84,plain,
( join(X_101,join(complement(X_101),complement(complement(X_101)))) != join(top,complement(complement(X_101)))
| join(X_101,top) = join(top,complement(complement(X_101))) ),
inference(resolve,[$cnf( $equal(join(complement(X_101),complement(complement(X_101))),top) )],[refute_0_82,refute_0_83]) ).
cnf(refute_0_85,plain,
join(X_101,top) = join(top,complement(complement(X_101))),
inference(resolve,[$cnf( $equal(join(X_101,join(complement(X_101),complement(complement(X_101)))),join(top,complement(complement(X_101)))) )],[refute_0_79,refute_0_84]) ).
cnf(refute_0_86,plain,
X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
inference(canonicalize,[],[normalize_0_21]) ).
cnf(refute_0_87,plain,
join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),
inference(subst,[],[refute_0_9:[bind(X0,$fot(complement(join(complement(X0),X1)))),bind(X1,$fot(complement(join(complement(X0),complement(X1)))))]]) ).
cnf(refute_0_88,plain,
( X0 != join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1)))
| join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) != join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1))))
| X0 = join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) ),
introduced(tautology,[equality,[$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_89,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( $equal(join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1))))) )],[refute_0_87,refute_0_88]) ).
cnf(refute_0_90,plain,
X0 = join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),
inference(resolve,[$cnf( $equal(X0,join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1)))) )],[refute_0_86,refute_0_89]) ).
cnf(refute_0_91,plain,
join(complement(join(complement(X0),X1)),meet(X0,X1)) = join(meet(X0,X1),complement(join(complement(X0),X1))),
inference(subst,[],[refute_0_9:[bind(X0,$fot(meet(X0,X1))),bind(X1,$fot(complement(join(complement(X0),X1))))]]) ).
cnf(refute_0_92,plain,
meet(X0,X1) = complement(join(complement(X0),complement(X1))),
inference(canonicalize,[],[normalize_0_23]) ).
cnf(refute_0_93,plain,
( meet(X0,X1) != complement(join(complement(X0),complement(X1)))
| complement(join(complement(X0),complement(X1))) = meet(X0,X1) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(X0,X1))),bind(Y,$fot(complement(join(complement(X0),complement(X1)))))]]) ).
cnf(refute_0_94,plain,
complement(join(complement(X0),complement(X1))) = meet(X0,X1),
inference(resolve,[$cnf( $equal(meet(X0,X1),complement(join(complement(X0),complement(X1)))) )],[refute_0_92,refute_0_93]) ).
cnf(refute_0_95,plain,
join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),
introduced(tautology,[refl,[$fot(join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))))]]) ).
cnf(refute_0_96,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_97,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( $equal(join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1))))) )],[refute_0_95,refute_0_96]) ).
cnf(refute_0_98,plain,
join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = join(complement(join(complement(X0),X1)),meet(X0,X1)),
inference(resolve,[$cnf( $equal(complement(join(complement(X0),complement(X1))),meet(X0,X1)) )],[refute_0_94,refute_0_97]) ).
cnf(refute_0_99,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_100,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_7,refute_0_99]) ).
cnf(refute_0_101,plain,
( join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) != join(complement(join(complement(X0),X1)),meet(X0,X1))
| join(complement(join(complement(X0),X1)),meet(X0,X1)) != join(meet(X0,X1),complement(join(complement(X0),X1)))
| join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = join(meet(X0,X1),complement(join(complement(X0),X1))) ),
inference(subst,[],[refute_0_100:[bind(X,$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_102,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( $equal(join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),join(complement(join(complement(X0),X1)),meet(X0,X1))) )],[refute_0_98,refute_0_101]) ).
cnf(refute_0_103,plain,
join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = join(meet(X0,X1),complement(join(complement(X0),X1))),
inference(resolve,[$cnf( $equal(join(complement(join(complement(X0),X1)),meet(X0,X1)),join(meet(X0,X1),complement(join(complement(X0),X1)))) )],[refute_0_91,refute_0_102]) ).
cnf(refute_0_104,plain,
( X0 != join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1))))
| join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) != join(meet(X0,X1),complement(join(complement(X0),X1)))
| X0 = join(meet(X0,X1),complement(join(complement(X0),X1))) ),
introduced(tautology,[equality,[$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_105,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( $equal(join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),join(meet(X0,X1),complement(join(complement(X0),X1)))) )],[refute_0_103,refute_0_104]) ).
cnf(refute_0_106,plain,
X0 = join(meet(X0,X1),complement(join(complement(X0),X1))),
inference(resolve,[$cnf( $equal(X0,join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1))))) )],[refute_0_90,refute_0_105]) ).
cnf(refute_0_107,plain,
X_40 = join(meet(X_40,complement(complement(X_40))),complement(join(complement(X_40),complement(complement(X_40))))),
inference(subst,[],[refute_0_106:[bind(X0,$fot(X_40)),bind(X1,$fot(complement(complement(X_40))))]]) ).
cnf(refute_0_108,plain,
top = join(complement(X_40),complement(complement(X_40))),
inference(subst,[],[refute_0_63:[bind(X0,$fot(complement(X_40)))]]) ).
cnf(refute_0_109,plain,
( top != join(complement(X_40),complement(complement(X_40)))
| join(complement(X_40),complement(complement(X_40))) = top ),
inference(subst,[],[refute_0_7:[bind(X,$fot(top)),bind(Y,$fot(join(complement(X_40),complement(complement(X_40)))))]]) ).
cnf(refute_0_110,plain,
join(complement(X_40),complement(complement(X_40))) = top,
inference(resolve,[$cnf( $equal(top,join(complement(X_40),complement(complement(X_40)))) )],[refute_0_108,refute_0_109]) ).
cnf(refute_0_111,plain,
( X_40 != join(meet(X_40,complement(complement(X_40))),complement(join(complement(X_40),complement(complement(X_40)))))
| join(complement(X_40),complement(complement(X_40))) != top
| X_40 = join(meet(X_40,complement(complement(X_40))),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(X_40,join(meet(X_40,complement(complement(X_40))),complement(join(complement(X_40),complement(complement(X_40)))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_0_112,plain,
( X_40 != join(meet(X_40,complement(complement(X_40))),complement(join(complement(X_40),complement(complement(X_40)))))
| X_40 = join(meet(X_40,complement(complement(X_40))),complement(top)) ),
inference(resolve,[$cnf( $equal(join(complement(X_40),complement(complement(X_40))),top) )],[refute_0_110,refute_0_111]) ).
cnf(refute_0_113,plain,
X_40 = join(meet(X_40,complement(complement(X_40))),complement(top)),
inference(resolve,[$cnf( $equal(X_40,join(meet(X_40,complement(complement(X_40))),complement(join(complement(X_40),complement(complement(X_40)))))) )],[refute_0_107,refute_0_112]) ).
cnf(refute_0_114,plain,
zero = meet(X0,complement(X0)),
inference(canonicalize,[],[normalize_0_25]) ).
cnf(refute_0_115,plain,
zero = meet(join(complement(X_14),complement(X_15)),complement(join(complement(X_14),complement(X_15)))),
inference(subst,[],[refute_0_114:[bind(X0,$fot(join(complement(X_14),complement(X_15))))]]) ).
cnf(refute_0_116,plain,
meet(X_14,X_15) = complement(join(complement(X_14),complement(X_15))),
inference(subst,[],[refute_0_92:[bind(X0,$fot(X_14)),bind(X1,$fot(X_15))]]) ).
cnf(refute_0_117,plain,
( meet(X_14,X_15) != complement(join(complement(X_14),complement(X_15)))
| complement(join(complement(X_14),complement(X_15))) = meet(X_14,X_15) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(X_14,X_15))),bind(Y,$fot(complement(join(complement(X_14),complement(X_15)))))]]) ).
cnf(refute_0_118,plain,
complement(join(complement(X_14),complement(X_15))) = meet(X_14,X_15),
inference(resolve,[$cnf( $equal(meet(X_14,X_15),complement(join(complement(X_14),complement(X_15)))) )],[refute_0_116,refute_0_117]) ).
cnf(refute_0_119,plain,
( complement(join(complement(X_14),complement(X_15))) != meet(X_14,X_15)
| zero != meet(join(complement(X_14),complement(X_15)),complement(join(complement(X_14),complement(X_15))))
| zero = meet(join(complement(X_14),complement(X_15)),meet(X_14,X_15)) ),
introduced(tautology,[equality,[$cnf( $equal(zero,meet(join(complement(X_14),complement(X_15)),complement(join(complement(X_14),complement(X_15))))) ),[1,1],$fot(meet(X_14,X_15))]]) ).
cnf(refute_0_120,plain,
( zero != meet(join(complement(X_14),complement(X_15)),complement(join(complement(X_14),complement(X_15))))
| zero = meet(join(complement(X_14),complement(X_15)),meet(X_14,X_15)) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_14),complement(X_15))),meet(X_14,X_15)) )],[refute_0_118,refute_0_119]) ).
cnf(refute_0_121,plain,
zero = meet(join(complement(X_14),complement(X_15)),meet(X_14,X_15)),
inference(resolve,[$cnf( $equal(zero,meet(join(complement(X_14),complement(X_15)),complement(join(complement(X_14),complement(X_15))))) )],[refute_0_115,refute_0_120]) ).
cnf(refute_0_122,plain,
( top != join(X0,complement(X0))
| join(X0,complement(X0)) = top ),
inference(subst,[],[refute_0_7:[bind(X,$fot(top)),bind(Y,$fot(join(X0,complement(X0))))]]) ).
cnf(refute_0_123,plain,
join(X0,complement(X0)) = top,
inference(resolve,[$cnf( $equal(top,join(X0,complement(X0))) )],[refute_0_63,refute_0_122]) ).
cnf(refute_0_124,plain,
join(meet(X_14,X_15),complement(meet(X_14,X_15))) = top,
inference(subst,[],[refute_0_123:[bind(X0,$fot(meet(X_14,X_15)))]]) ).
cnf(refute_0_125,plain,
complement(join(meet(X_14,X_15),complement(meet(X_14,X_15)))) = complement(join(meet(X_14,X_15),complement(meet(X_14,X_15)))),
introduced(tautology,[refl,[$fot(complement(join(meet(X_14,X_15),complement(meet(X_14,X_15)))))]]) ).
cnf(refute_0_126,plain,
( complement(join(meet(X_14,X_15),complement(meet(X_14,X_15)))) != complement(join(meet(X_14,X_15),complement(meet(X_14,X_15))))
| join(meet(X_14,X_15),complement(meet(X_14,X_15))) != top
| complement(join(meet(X_14,X_15),complement(meet(X_14,X_15)))) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(meet(X_14,X_15),complement(meet(X_14,X_15)))),complement(join(meet(X_14,X_15),complement(meet(X_14,X_15))))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_127,plain,
( join(meet(X_14,X_15),complement(meet(X_14,X_15))) != top
| complement(join(meet(X_14,X_15),complement(meet(X_14,X_15)))) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(join(meet(X_14,X_15),complement(meet(X_14,X_15)))),complement(join(meet(X_14,X_15),complement(meet(X_14,X_15))))) )],[refute_0_125,refute_0_126]) ).
cnf(refute_0_128,plain,
complement(join(meet(X_14,X_15),complement(meet(X_14,X_15)))) = complement(top),
inference(resolve,[$cnf( $equal(join(meet(X_14,X_15),complement(meet(X_14,X_15))),top) )],[refute_0_124,refute_0_127]) ).
cnf(refute_0_129,plain,
meet(join(complement(X_14),complement(X_15)),X1) = complement(join(complement(join(complement(X_14),complement(X_15))),complement(X1))),
inference(subst,[],[refute_0_92:[bind(X0,$fot(join(complement(X_14),complement(X_15))))]]) ).
cnf(refute_0_130,plain,
( complement(join(complement(X_14),complement(X_15))) != meet(X_14,X_15)
| meet(join(complement(X_14),complement(X_15)),X1) != complement(join(complement(join(complement(X_14),complement(X_15))),complement(X1)))
| meet(join(complement(X_14),complement(X_15)),X1) = complement(join(meet(X_14,X_15),complement(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(complement(X_14),complement(X_15)),X1),complement(join(complement(join(complement(X_14),complement(X_15))),complement(X1)))) ),[1,0,0],$fot(meet(X_14,X_15))]]) ).
cnf(refute_0_131,plain,
( meet(join(complement(X_14),complement(X_15)),X1) != complement(join(complement(join(complement(X_14),complement(X_15))),complement(X1)))
| meet(join(complement(X_14),complement(X_15)),X1) = complement(join(meet(X_14,X_15),complement(X1))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_14),complement(X_15))),meet(X_14,X_15)) )],[refute_0_118,refute_0_130]) ).
cnf(refute_0_132,plain,
meet(join(complement(X_14),complement(X_15)),X1) = complement(join(meet(X_14,X_15),complement(X1))),
inference(resolve,[$cnf( $equal(meet(join(complement(X_14),complement(X_15)),X1),complement(join(complement(join(complement(X_14),complement(X_15))),complement(X1)))) )],[refute_0_129,refute_0_131]) ).
cnf(refute_0_133,plain,
meet(join(complement(X_14),complement(X_15)),meet(X_14,X_15)) = complement(join(meet(X_14,X_15),complement(meet(X_14,X_15)))),
inference(subst,[],[refute_0_132:[bind(X1,$fot(meet(X_14,X_15)))]]) ).
cnf(refute_0_134,plain,
( complement(join(meet(X_14,X_15),complement(meet(X_14,X_15)))) != complement(top)
| meet(join(complement(X_14),complement(X_15)),meet(X_14,X_15)) != complement(join(meet(X_14,X_15),complement(meet(X_14,X_15))))
| meet(join(complement(X_14),complement(X_15)),meet(X_14,X_15)) = complement(top) ),
inference(subst,[],[refute_0_100:[bind(X,$fot(meet(join(complement(X_14),complement(X_15)),meet(X_14,X_15)))),bind(Y,$fot(complement(join(meet(X_14,X_15),complement(meet(X_14,X_15)))))),bind(Z,$fot(complement(top)))]]) ).
cnf(refute_0_135,plain,
( complement(join(meet(X_14,X_15),complement(meet(X_14,X_15)))) != complement(top)
| meet(join(complement(X_14),complement(X_15)),meet(X_14,X_15)) = complement(top) ),
inference(resolve,[$cnf( $equal(meet(join(complement(X_14),complement(X_15)),meet(X_14,X_15)),complement(join(meet(X_14,X_15),complement(meet(X_14,X_15))))) )],[refute_0_133,refute_0_134]) ).
cnf(refute_0_136,plain,
meet(join(complement(X_14),complement(X_15)),meet(X_14,X_15)) = complement(top),
inference(resolve,[$cnf( $equal(complement(join(meet(X_14,X_15),complement(meet(X_14,X_15)))),complement(top)) )],[refute_0_128,refute_0_135]) ).
cnf(refute_0_137,plain,
( meet(join(complement(X_14),complement(X_15)),meet(X_14,X_15)) != complement(top)
| zero != meet(join(complement(X_14),complement(X_15)),meet(X_14,X_15))
| zero = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(zero,meet(join(complement(X_14),complement(X_15)),meet(X_14,X_15))) ),[1],$fot(complement(top))]]) ).
cnf(refute_0_138,plain,
( zero != meet(join(complement(X_14),complement(X_15)),meet(X_14,X_15))
| zero = complement(top) ),
inference(resolve,[$cnf( $equal(meet(join(complement(X_14),complement(X_15)),meet(X_14,X_15)),complement(top)) )],[refute_0_136,refute_0_137]) ).
cnf(refute_0_139,plain,
zero = complement(top),
inference(resolve,[$cnf( $equal(zero,meet(join(complement(X_14),complement(X_15)),meet(X_14,X_15))) )],[refute_0_121,refute_0_138]) ).
cnf(refute_0_140,plain,
( zero != complement(top)
| complement(top) = zero ),
inference(subst,[],[refute_0_7:[bind(X,$fot(zero)),bind(Y,$fot(complement(top)))]]) ).
cnf(refute_0_141,plain,
complement(top) = zero,
inference(resolve,[$cnf( $equal(zero,complement(top)) )],[refute_0_139,refute_0_140]) ).
cnf(refute_0_142,plain,
join(complement(top),meet(X_40,complement(complement(X_40)))) = join(complement(top),meet(X_40,complement(complement(X_40)))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(X_40,complement(complement(X_40)))))]]) ).
cnf(refute_0_143,plain,
( complement(top) != zero
| join(complement(top),meet(X_40,complement(complement(X_40)))) != join(complement(top),meet(X_40,complement(complement(X_40))))
| join(complement(top),meet(X_40,complement(complement(X_40)))) = join(zero,meet(X_40,complement(complement(X_40)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(X_40,complement(complement(X_40)))),join(complement(top),meet(X_40,complement(complement(X_40))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_144,plain,
( complement(top) != zero
| join(complement(top),meet(X_40,complement(complement(X_40)))) = join(zero,meet(X_40,complement(complement(X_40)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_40,complement(complement(X_40)))),join(complement(top),meet(X_40,complement(complement(X_40))))) )],[refute_0_142,refute_0_143]) ).
cnf(refute_0_145,plain,
join(complement(top),meet(X_40,complement(complement(X_40)))) = join(zero,meet(X_40,complement(complement(X_40)))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_141,refute_0_144]) ).
cnf(refute_0_146,plain,
join(meet(X_40,complement(complement(X_40))),complement(top)) = join(complement(top),meet(X_40,complement(complement(X_40)))),
inference(subst,[],[refute_0_9:[bind(X0,$fot(complement(top))),bind(X1,$fot(meet(X_40,complement(complement(X_40)))))]]) ).
cnf(refute_0_147,plain,
( join(complement(top),meet(X_40,complement(complement(X_40)))) != join(zero,meet(X_40,complement(complement(X_40))))
| join(meet(X_40,complement(complement(X_40))),complement(top)) != join(complement(top),meet(X_40,complement(complement(X_40))))
| join(meet(X_40,complement(complement(X_40))),complement(top)) = join(zero,meet(X_40,complement(complement(X_40)))) ),
inference(subst,[],[refute_0_100:[bind(X,$fot(join(meet(X_40,complement(complement(X_40))),complement(top)))),bind(Y,$fot(join(complement(top),meet(X_40,complement(complement(X_40)))))),bind(Z,$fot(join(zero,meet(X_40,complement(complement(X_40))))))]]) ).
cnf(refute_0_148,plain,
( join(complement(top),meet(X_40,complement(complement(X_40)))) != join(zero,meet(X_40,complement(complement(X_40))))
| join(meet(X_40,complement(complement(X_40))),complement(top)) = join(zero,meet(X_40,complement(complement(X_40)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_40,complement(complement(X_40))),complement(top)),join(complement(top),meet(X_40,complement(complement(X_40))))) )],[refute_0_146,refute_0_147]) ).
cnf(refute_0_149,plain,
join(meet(X_40,complement(complement(X_40))),complement(top)) = join(zero,meet(X_40,complement(complement(X_40)))),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_40,complement(complement(X_40)))),join(zero,meet(X_40,complement(complement(X_40))))) )],[refute_0_145,refute_0_148]) ).
cnf(refute_0_150,plain,
( X_40 != join(meet(X_40,complement(complement(X_40))),complement(top))
| join(meet(X_40,complement(complement(X_40))),complement(top)) != join(zero,meet(X_40,complement(complement(X_40))))
| X_40 = join(zero,meet(X_40,complement(complement(X_40)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_40,join(zero,meet(X_40,complement(complement(X_40))))) ),[0],$fot(join(meet(X_40,complement(complement(X_40))),complement(top)))]]) ).
cnf(refute_0_151,plain,
( X_40 != join(meet(X_40,complement(complement(X_40))),complement(top))
| X_40 = join(zero,meet(X_40,complement(complement(X_40)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_40,complement(complement(X_40))),complement(top)),join(zero,meet(X_40,complement(complement(X_40))))) )],[refute_0_149,refute_0_150]) ).
cnf(refute_0_152,plain,
X_40 = join(zero,meet(X_40,complement(complement(X_40)))),
inference(resolve,[$cnf( $equal(X_40,join(meet(X_40,complement(complement(X_40))),complement(top))) )],[refute_0_113,refute_0_151]) ).
cnf(refute_0_153,plain,
join(top,complement(X_58)) = join(zero,meet(join(top,complement(X_58)),complement(complement(join(top,complement(X_58)))))),
inference(subst,[],[refute_0_152:[bind(X_40,$fot(join(top,complement(X_58))))]]) ).
cnf(refute_0_154,plain,
meet(zero,X1) = complement(join(complement(zero),complement(X1))),
inference(subst,[],[refute_0_92:[bind(X0,$fot(zero))]]) ).
cnf(refute_0_155,plain,
X_40 = join(meet(X_40,join(zero,meet(X_40,top))),complement(join(complement(X_40),join(zero,meet(X_40,top))))),
inference(subst,[],[refute_0_106:[bind(X0,$fot(X_40)),bind(X1,$fot(join(zero,meet(X_40,top))))]]) ).
cnf(refute_0_156,plain,
top = join(join(complement(X_14),complement(X_15)),complement(join(complement(X_14),complement(X_15)))),
inference(subst,[],[refute_0_63:[bind(X0,$fot(join(complement(X_14),complement(X_15))))]]) ).
cnf(refute_0_157,plain,
( complement(join(complement(X_14),complement(X_15))) != meet(X_14,X_15)
| top != join(join(complement(X_14),complement(X_15)),complement(join(complement(X_14),complement(X_15))))
| top = join(join(complement(X_14),complement(X_15)),meet(X_14,X_15)) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(join(complement(X_14),complement(X_15)),complement(join(complement(X_14),complement(X_15))))) ),[1,1],$fot(meet(X_14,X_15))]]) ).
cnf(refute_0_158,plain,
( top != join(join(complement(X_14),complement(X_15)),complement(join(complement(X_14),complement(X_15))))
| top = join(join(complement(X_14),complement(X_15)),meet(X_14,X_15)) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_14),complement(X_15))),meet(X_14,X_15)) )],[refute_0_118,refute_0_157]) ).
cnf(refute_0_159,plain,
top = join(join(complement(X_14),complement(X_15)),meet(X_14,X_15)),
inference(resolve,[$cnf( $equal(top,join(join(complement(X_14),complement(X_15)),complement(join(complement(X_14),complement(X_15))))) )],[refute_0_156,refute_0_158]) ).
cnf(refute_0_160,plain,
( join(X0,join(X1,X2)) != join(join(X0,X1),X2)
| join(join(X0,X1),X2) = join(X0,join(X1,X2)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(X0,join(X1,X2)))),bind(Y,$fot(join(join(X0,X1),X2)))]]) ).
cnf(refute_0_161,plain,
join(join(X0,X1),X2) = join(X0,join(X1,X2)),
inference(resolve,[$cnf( $equal(join(X0,join(X1,X2)),join(join(X0,X1),X2)) )],[refute_0_61,refute_0_160]) ).
cnf(refute_0_162,plain,
join(join(complement(X_14),complement(X_15)),meet(X_14,X_15)) = join(complement(X_14),join(complement(X_15),meet(X_14,X_15))),
inference(subst,[],[refute_0_161:[bind(X0,$fot(complement(X_14))),bind(X1,$fot(complement(X_15))),bind(X2,$fot(meet(X_14,X_15)))]]) ).
cnf(refute_0_163,plain,
( join(join(complement(X_14),complement(X_15)),meet(X_14,X_15)) != join(complement(X_14),join(complement(X_15),meet(X_14,X_15)))
| top != join(join(complement(X_14),complement(X_15)),meet(X_14,X_15))
| top = join(complement(X_14),join(complement(X_15),meet(X_14,X_15))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(join(complement(X_14),complement(X_15)),meet(X_14,X_15))) ),[1],$fot(join(complement(X_14),join(complement(X_15),meet(X_14,X_15))))]]) ).
cnf(refute_0_164,plain,
( top != join(join(complement(X_14),complement(X_15)),meet(X_14,X_15))
| top = join(complement(X_14),join(complement(X_15),meet(X_14,X_15))) ),
inference(resolve,[$cnf( $equal(join(join(complement(X_14),complement(X_15)),meet(X_14,X_15)),join(complement(X_14),join(complement(X_15),meet(X_14,X_15)))) )],[refute_0_162,refute_0_163]) ).
cnf(refute_0_165,plain,
top = join(complement(X_14),join(complement(X_15),meet(X_14,X_15))),
inference(resolve,[$cnf( $equal(top,join(join(complement(X_14),complement(X_15)),meet(X_14,X_15))) )],[refute_0_159,refute_0_164]) ).
cnf(refute_0_166,plain,
top = join(complement(X_20),join(complement(top),meet(X_20,top))),
inference(subst,[],[refute_0_165:[bind(X_14,$fot(X_20)),bind(X_15,$fot(top))]]) ).
cnf(refute_0_167,plain,
( complement(top) != zero
| top != join(complement(X_20),join(complement(top),meet(X_20,top)))
| top = join(complement(X_20),join(zero,meet(X_20,top))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(X_20),join(complement(top),meet(X_20,top)))) ),[1,1,0],$fot(zero)]]) ).
cnf(refute_0_168,plain,
( top != join(complement(X_20),join(complement(top),meet(X_20,top)))
| top = join(complement(X_20),join(zero,meet(X_20,top))) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_141,refute_0_167]) ).
cnf(refute_0_169,plain,
top = join(complement(X_20),join(zero,meet(X_20,top))),
inference(resolve,[$cnf( $equal(top,join(complement(X_20),join(complement(top),meet(X_20,top)))) )],[refute_0_166,refute_0_168]) ).
cnf(refute_0_170,plain,
top = join(complement(X_40),join(zero,meet(X_40,top))),
inference(subst,[],[refute_0_169:[bind(X_20,$fot(X_40))]]) ).
cnf(refute_0_171,plain,
( top != join(complement(X_40),join(zero,meet(X_40,top)))
| join(complement(X_40),join(zero,meet(X_40,top))) = top ),
inference(subst,[],[refute_0_7:[bind(X,$fot(top)),bind(Y,$fot(join(complement(X_40),join(zero,meet(X_40,top)))))]]) ).
cnf(refute_0_172,plain,
join(complement(X_40),join(zero,meet(X_40,top))) = top,
inference(resolve,[$cnf( $equal(top,join(complement(X_40),join(zero,meet(X_40,top)))) )],[refute_0_170,refute_0_171]) ).
cnf(refute_0_173,plain,
( X_40 != join(meet(X_40,join(zero,meet(X_40,top))),complement(join(complement(X_40),join(zero,meet(X_40,top)))))
| join(complement(X_40),join(zero,meet(X_40,top))) != top
| X_40 = join(meet(X_40,join(zero,meet(X_40,top))),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(X_40,join(meet(X_40,join(zero,meet(X_40,top))),complement(join(complement(X_40),join(zero,meet(X_40,top)))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_0_174,plain,
( X_40 != join(meet(X_40,join(zero,meet(X_40,top))),complement(join(complement(X_40),join(zero,meet(X_40,top)))))
| X_40 = join(meet(X_40,join(zero,meet(X_40,top))),complement(top)) ),
inference(resolve,[$cnf( $equal(join(complement(X_40),join(zero,meet(X_40,top))),top) )],[refute_0_172,refute_0_173]) ).
cnf(refute_0_175,plain,
X_40 = join(meet(X_40,join(zero,meet(X_40,top))),complement(top)),
inference(resolve,[$cnf( $equal(X_40,join(meet(X_40,join(zero,meet(X_40,top))),complement(join(complement(X_40),join(zero,meet(X_40,top)))))) )],[refute_0_155,refute_0_174]) ).
cnf(refute_0_176,plain,
join(complement(top),meet(X_40,join(zero,meet(X_40,top)))) = join(complement(top),meet(X_40,join(zero,meet(X_40,top)))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(X_40,join(zero,meet(X_40,top)))))]]) ).
cnf(refute_0_177,plain,
( complement(top) != zero
| join(complement(top),meet(X_40,join(zero,meet(X_40,top)))) != join(complement(top),meet(X_40,join(zero,meet(X_40,top))))
| join(complement(top),meet(X_40,join(zero,meet(X_40,top)))) = join(zero,meet(X_40,join(zero,meet(X_40,top)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(X_40,join(zero,meet(X_40,top)))),join(complement(top),meet(X_40,join(zero,meet(X_40,top))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_178,plain,
( complement(top) != zero
| join(complement(top),meet(X_40,join(zero,meet(X_40,top)))) = join(zero,meet(X_40,join(zero,meet(X_40,top)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_40,join(zero,meet(X_40,top)))),join(complement(top),meet(X_40,join(zero,meet(X_40,top))))) )],[refute_0_176,refute_0_177]) ).
cnf(refute_0_179,plain,
join(complement(top),meet(X_40,join(zero,meet(X_40,top)))) = join(zero,meet(X_40,join(zero,meet(X_40,top)))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_141,refute_0_178]) ).
cnf(refute_0_180,plain,
join(meet(X_40,join(zero,meet(X_40,top))),complement(top)) = join(complement(top),meet(X_40,join(zero,meet(X_40,top)))),
inference(subst,[],[refute_0_9:[bind(X0,$fot(complement(top))),bind(X1,$fot(meet(X_40,join(zero,meet(X_40,top)))))]]) ).
cnf(refute_0_181,plain,
( join(complement(top),meet(X_40,join(zero,meet(X_40,top)))) != join(zero,meet(X_40,join(zero,meet(X_40,top))))
| join(meet(X_40,join(zero,meet(X_40,top))),complement(top)) != join(complement(top),meet(X_40,join(zero,meet(X_40,top))))
| join(meet(X_40,join(zero,meet(X_40,top))),complement(top)) = join(zero,meet(X_40,join(zero,meet(X_40,top)))) ),
inference(subst,[],[refute_0_100:[bind(X,$fot(join(meet(X_40,join(zero,meet(X_40,top))),complement(top)))),bind(Y,$fot(join(complement(top),meet(X_40,join(zero,meet(X_40,top)))))),bind(Z,$fot(join(zero,meet(X_40,join(zero,meet(X_40,top))))))]]) ).
cnf(refute_0_182,plain,
( join(complement(top),meet(X_40,join(zero,meet(X_40,top)))) != join(zero,meet(X_40,join(zero,meet(X_40,top))))
| join(meet(X_40,join(zero,meet(X_40,top))),complement(top)) = join(zero,meet(X_40,join(zero,meet(X_40,top)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_40,join(zero,meet(X_40,top))),complement(top)),join(complement(top),meet(X_40,join(zero,meet(X_40,top))))) )],[refute_0_180,refute_0_181]) ).
cnf(refute_0_183,plain,
join(meet(X_40,join(zero,meet(X_40,top))),complement(top)) = join(zero,meet(X_40,join(zero,meet(X_40,top)))),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_40,join(zero,meet(X_40,top)))),join(zero,meet(X_40,join(zero,meet(X_40,top))))) )],[refute_0_179,refute_0_182]) ).
cnf(refute_0_184,plain,
( X_40 != join(meet(X_40,join(zero,meet(X_40,top))),complement(top))
| join(meet(X_40,join(zero,meet(X_40,top))),complement(top)) != join(zero,meet(X_40,join(zero,meet(X_40,top))))
| X_40 = join(zero,meet(X_40,join(zero,meet(X_40,top)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_40,join(zero,meet(X_40,join(zero,meet(X_40,top))))) ),[0],$fot(join(meet(X_40,join(zero,meet(X_40,top))),complement(top)))]]) ).
cnf(refute_0_185,plain,
( X_40 != join(meet(X_40,join(zero,meet(X_40,top))),complement(top))
| X_40 = join(zero,meet(X_40,join(zero,meet(X_40,top)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_40,join(zero,meet(X_40,top))),complement(top)),join(zero,meet(X_40,join(zero,meet(X_40,top))))) )],[refute_0_183,refute_0_184]) ).
cnf(refute_0_186,plain,
X_40 = join(zero,meet(X_40,join(zero,meet(X_40,top)))),
inference(resolve,[$cnf( $equal(X_40,join(meet(X_40,join(zero,meet(X_40,top))),complement(top))) )],[refute_0_175,refute_0_185]) ).
cnf(refute_0_187,plain,
X_45 = join(zero,meet(X_45,join(zero,meet(X_45,top)))),
inference(subst,[],[refute_0_186:[bind(X_40,$fot(X_45))]]) ).
cnf(refute_0_188,plain,
join(complement(X_15),complement(X_14)) = join(complement(X_14),complement(X_15)),
inference(subst,[],[refute_0_4:[bind(X0,$fot(complement(X_15))),bind(X1,$fot(complement(X_14)))]]) ).
cnf(refute_0_189,plain,
( join(complement(X_15),complement(X_14)) != join(complement(X_14),complement(X_15))
| join(complement(X_14),complement(X_15)) = join(complement(X_15),complement(X_14)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(complement(X_15),complement(X_14)))),bind(Y,$fot(join(complement(X_14),complement(X_15))))]]) ).
cnf(refute_0_190,plain,
join(complement(X_14),complement(X_15)) = join(complement(X_15),complement(X_14)),
inference(resolve,[$cnf( $equal(join(complement(X_15),complement(X_14)),join(complement(X_14),complement(X_15))) )],[refute_0_188,refute_0_189]) ).
cnf(refute_0_191,plain,
( join(complement(X_14),complement(X_15)) != join(complement(X_15),complement(X_14))
| meet(X_14,X_15) != complement(join(complement(X_14),complement(X_15)))
| meet(X_14,X_15) = complement(join(complement(X_15),complement(X_14))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_14,X_15),complement(join(complement(X_14),complement(X_15)))) ),[1,0],$fot(join(complement(X_15),complement(X_14)))]]) ).
cnf(refute_0_192,plain,
( meet(X_14,X_15) != complement(join(complement(X_14),complement(X_15)))
| meet(X_14,X_15) = complement(join(complement(X_15),complement(X_14))) ),
inference(resolve,[$cnf( $equal(join(complement(X_14),complement(X_15)),join(complement(X_15),complement(X_14))) )],[refute_0_190,refute_0_191]) ).
cnf(refute_0_193,plain,
meet(X_14,X_15) = complement(join(complement(X_15),complement(X_14))),
inference(resolve,[$cnf( $equal(meet(X_14,X_15),complement(join(complement(X_14),complement(X_15)))) )],[refute_0_116,refute_0_192]) ).
cnf(refute_0_194,plain,
complement(join(complement(X_15),complement(X_14))) = meet(X_15,X_14),
inference(subst,[],[refute_0_94:[bind(X0,$fot(X_15)),bind(X1,$fot(X_14))]]) ).
cnf(refute_0_195,plain,
( complement(join(complement(X_15),complement(X_14))) != meet(X_15,X_14)
| meet(X_14,X_15) != complement(join(complement(X_15),complement(X_14)))
| meet(X_14,X_15) = meet(X_15,X_14) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_14,X_15),complement(join(complement(X_15),complement(X_14)))) ),[1],$fot(meet(X_15,X_14))]]) ).
cnf(refute_0_196,plain,
( meet(X_14,X_15) != complement(join(complement(X_15),complement(X_14)))
| meet(X_14,X_15) = meet(X_15,X_14) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_15),complement(X_14))),meet(X_15,X_14)) )],[refute_0_194,refute_0_195]) ).
cnf(refute_0_197,plain,
meet(X_14,X_15) = meet(X_15,X_14),
inference(resolve,[$cnf( $equal(meet(X_14,X_15),complement(join(complement(X_15),complement(X_14)))) )],[refute_0_193,refute_0_196]) ).
cnf(refute_0_198,plain,
meet(top,X_45) = meet(X_45,top),
inference(subst,[],[refute_0_197:[bind(X_14,$fot(top)),bind(X_15,$fot(X_45))]]) ).
cnf(refute_0_199,plain,
( meet(top,X_45) != meet(X_45,top)
| meet(X_45,top) = meet(top,X_45) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(top,X_45))),bind(Y,$fot(meet(X_45,top)))]]) ).
cnf(refute_0_200,plain,
meet(X_45,top) = meet(top,X_45),
inference(resolve,[$cnf( $equal(meet(top,X_45),meet(X_45,top)) )],[refute_0_198,refute_0_199]) ).
cnf(refute_0_201,plain,
( X_45 != join(zero,meet(X_45,join(zero,meet(X_45,top))))
| meet(X_45,top) != meet(top,X_45)
| X_45 = join(zero,meet(X_45,join(zero,meet(top,X_45)))) ),
introduced(tautology,[equality,[$cnf( $equal(X_45,join(zero,meet(X_45,join(zero,meet(X_45,top))))) ),[1,1,1,1],$fot(meet(top,X_45))]]) ).
cnf(refute_0_202,plain,
( X_45 != join(zero,meet(X_45,join(zero,meet(X_45,top))))
| X_45 = join(zero,meet(X_45,join(zero,meet(top,X_45)))) ),
inference(resolve,[$cnf( $equal(meet(X_45,top),meet(top,X_45)) )],[refute_0_200,refute_0_201]) ).
cnf(refute_0_203,plain,
X_45 = join(zero,meet(X_45,join(zero,meet(top,X_45)))),
inference(resolve,[$cnf( $equal(X_45,join(zero,meet(X_45,join(zero,meet(X_45,top))))) )],[refute_0_187,refute_0_202]) ).
cnf(refute_0_204,plain,
complement(complement(top)) = join(zero,meet(complement(complement(top)),join(zero,meet(top,complement(complement(top)))))),
inference(subst,[],[refute_0_203:[bind(X_45,$fot(complement(complement(top))))]]) ).
cnf(refute_0_205,plain,
top = join(zero,meet(top,complement(complement(top)))),
inference(subst,[],[refute_0_152:[bind(X_40,$fot(top))]]) ).
cnf(refute_0_206,plain,
( top != join(zero,meet(top,complement(complement(top))))
| join(zero,meet(top,complement(complement(top)))) = top ),
inference(subst,[],[refute_0_7:[bind(X,$fot(top)),bind(Y,$fot(join(zero,meet(top,complement(complement(top))))))]]) ).
cnf(refute_0_207,plain,
join(zero,meet(top,complement(complement(top)))) = top,
inference(resolve,[$cnf( $equal(top,join(zero,meet(top,complement(complement(top))))) )],[refute_0_205,refute_0_206]) ).
cnf(refute_0_208,plain,
( complement(complement(top)) != join(zero,meet(complement(complement(top)),join(zero,meet(top,complement(complement(top))))))
| join(zero,meet(top,complement(complement(top)))) != top
| complement(complement(top)) = join(zero,meet(complement(complement(top)),top)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(top)),join(zero,meet(complement(complement(top)),join(zero,meet(top,complement(complement(top))))))) ),[1,1,1],$fot(top)]]) ).
cnf(refute_0_209,plain,
( complement(complement(top)) != join(zero,meet(complement(complement(top)),join(zero,meet(top,complement(complement(top))))))
| complement(complement(top)) = join(zero,meet(complement(complement(top)),top)) ),
inference(resolve,[$cnf( $equal(join(zero,meet(top,complement(complement(top)))),top) )],[refute_0_207,refute_0_208]) ).
cnf(refute_0_210,plain,
complement(complement(top)) = join(zero,meet(complement(complement(top)),top)),
inference(resolve,[$cnf( $equal(complement(complement(top)),join(zero,meet(complement(complement(top)),join(zero,meet(top,complement(complement(top))))))) )],[refute_0_204,refute_0_209]) ).
cnf(refute_0_211,plain,
complement(complement(top)) = complement(complement(top)),
introduced(tautology,[refl,[$fot(complement(complement(top)))]]) ).
cnf(refute_0_212,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_213,plain,
( complement(top) != zero
| complement(complement(top)) = complement(zero) ),
inference(resolve,[$cnf( $equal(complement(complement(top)),complement(complement(top))) )],[refute_0_211,refute_0_212]) ).
cnf(refute_0_214,plain,
complement(complement(top)) = complement(zero),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_141,refute_0_213]) ).
cnf(refute_0_215,plain,
( complement(complement(top)) != complement(zero)
| complement(complement(top)) != join(zero,meet(complement(complement(top)),top))
| complement(zero) = join(zero,meet(complement(complement(top)),top)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(complement(top)),join(zero,meet(complement(complement(top)),top))) ),[0],$fot(complement(zero))]]) ).
cnf(refute_0_216,plain,
( complement(complement(top)) != join(zero,meet(complement(complement(top)),top))
| complement(zero) = join(zero,meet(complement(complement(top)),top)) ),
inference(resolve,[$cnf( $equal(complement(complement(top)),complement(zero)) )],[refute_0_214,refute_0_215]) ).
cnf(refute_0_217,plain,
( complement(top) != zero
| top != join(zero,meet(top,complement(complement(top))))
| top = join(zero,meet(top,complement(zero))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(zero,meet(top,complement(complement(top))))) ),[1,1,1,0],$fot(zero)]]) ).
cnf(refute_0_218,plain,
( top != join(zero,meet(top,complement(complement(top))))
| top = join(zero,meet(top,complement(zero))) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_141,refute_0_217]) ).
cnf(refute_0_219,plain,
top = join(zero,meet(top,complement(zero))),
inference(resolve,[$cnf( $equal(top,join(zero,meet(top,complement(complement(top))))) )],[refute_0_205,refute_0_218]) ).
cnf(refute_0_220,plain,
( top != join(zero,meet(top,complement(zero)))
| join(zero,meet(top,complement(zero))) = top ),
inference(subst,[],[refute_0_7:[bind(X,$fot(top)),bind(Y,$fot(join(zero,meet(top,complement(zero)))))]]) ).
cnf(refute_0_221,plain,
join(zero,meet(top,complement(zero))) = top,
inference(resolve,[$cnf( $equal(top,join(zero,meet(top,complement(zero)))) )],[refute_0_219,refute_0_220]) ).
cnf(refute_0_222,plain,
meet(top,complement(complement(top))) = meet(top,complement(complement(top))),
introduced(tautology,[refl,[$fot(meet(top,complement(complement(top))))]]) ).
cnf(refute_0_223,plain,
( complement(complement(top)) != complement(zero)
| meet(top,complement(complement(top))) != meet(top,complement(complement(top)))
| meet(top,complement(complement(top))) = meet(top,complement(zero)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,complement(complement(top))),meet(top,complement(complement(top)))) ),[1,1],$fot(complement(zero))]]) ).
cnf(refute_0_224,plain,
( complement(complement(top)) != complement(zero)
| meet(top,complement(complement(top))) = meet(top,complement(zero)) ),
inference(resolve,[$cnf( $equal(meet(top,complement(complement(top))),meet(top,complement(complement(top)))) )],[refute_0_222,refute_0_223]) ).
cnf(refute_0_225,plain,
meet(top,complement(complement(top))) = meet(top,complement(zero)),
inference(resolve,[$cnf( $equal(complement(complement(top)),complement(zero)) )],[refute_0_214,refute_0_224]) ).
cnf(refute_0_226,plain,
meet(X0,top) = complement(join(complement(X0),complement(top))),
inference(subst,[],[refute_0_92:[bind(X1,$fot(top))]]) ).
cnf(refute_0_227,plain,
( complement(top) != zero
| meet(X0,top) != complement(join(complement(X0),complement(top)))
| meet(X0,top) = complement(join(complement(X0),zero)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X0,top),complement(join(complement(X0),complement(top)))) ),[1,0,1],$fot(zero)]]) ).
cnf(refute_0_228,plain,
( meet(X0,top) != complement(join(complement(X0),complement(top)))
| meet(X0,top) = complement(join(complement(X0),zero)) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_141,refute_0_227]) ).
cnf(refute_0_229,plain,
meet(X0,top) = complement(join(complement(X0),zero)),
inference(resolve,[$cnf( $equal(meet(X0,top),complement(join(complement(X0),complement(top)))) )],[refute_0_226,refute_0_228]) ).
cnf(refute_0_230,plain,
meet(top,X1) = complement(join(complement(top),complement(X1))),
inference(subst,[],[refute_0_92:[bind(X0,$fot(top))]]) ).
cnf(refute_0_231,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_232,plain,
( meet(top,X1) != complement(join(complement(top),complement(X1)))
| meet(top,X1) = complement(join(zero,complement(X1))) ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_141,refute_0_231]) ).
cnf(refute_0_233,plain,
meet(top,X1) = complement(join(zero,complement(X1))),
inference(resolve,[$cnf( $equal(meet(top,X1),complement(join(complement(top),complement(X1)))) )],[refute_0_230,refute_0_232]) ).
cnf(refute_0_234,plain,
( meet(top,X1) != complement(join(zero,complement(X1)))
| complement(join(zero,complement(X1))) = meet(top,X1) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(top,X1))),bind(Y,$fot(complement(join(zero,complement(X1)))))]]) ).
cnf(refute_0_235,plain,
complement(join(zero,complement(X1))) = meet(top,X1),
inference(resolve,[$cnf( $equal(meet(top,X1),complement(join(zero,complement(X1)))) )],[refute_0_233,refute_0_234]) ).
cnf(refute_0_236,plain,
complement(join(zero,complement(X0))) = meet(top,X0),
inference(subst,[],[refute_0_235:[bind(X1,$fot(X0))]]) ).
cnf(refute_0_237,plain,
join(complement(X0),zero) = join(zero,complement(X0)),
inference(subst,[],[refute_0_9:[bind(X0,$fot(zero)),bind(X1,$fot(complement(X0)))]]) ).
cnf(refute_0_238,plain,
complement(join(complement(X0),zero)) = complement(join(complement(X0),zero)),
introduced(tautology,[refl,[$fot(complement(join(complement(X0),zero)))]]) ).
cnf(refute_0_239,plain,
( complement(join(complement(X0),zero)) != complement(join(complement(X0),zero))
| join(complement(X0),zero) != join(zero,complement(X0))
| complement(join(complement(X0),zero)) = complement(join(zero,complement(X0))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(X0),zero)),complement(join(complement(X0),zero))) ),[1,0],$fot(join(zero,complement(X0)))]]) ).
cnf(refute_0_240,plain,
( join(complement(X0),zero) != join(zero,complement(X0))
| complement(join(complement(X0),zero)) = complement(join(zero,complement(X0))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X0),zero)),complement(join(complement(X0),zero))) )],[refute_0_238,refute_0_239]) ).
cnf(refute_0_241,plain,
complement(join(complement(X0),zero)) = complement(join(zero,complement(X0))),
inference(resolve,[$cnf( $equal(join(complement(X0),zero),join(zero,complement(X0))) )],[refute_0_237,refute_0_240]) ).
cnf(refute_0_242,plain,
( complement(join(complement(X0),zero)) != complement(join(zero,complement(X0)))
| complement(join(zero,complement(X0))) != meet(top,X0)
| complement(join(complement(X0),zero)) = meet(top,X0) ),
inference(subst,[],[refute_0_100:[bind(X,$fot(complement(join(complement(X0),zero)))),bind(Y,$fot(complement(join(zero,complement(X0))))),bind(Z,$fot(meet(top,X0)))]]) ).
cnf(refute_0_243,plain,
( complement(join(zero,complement(X0))) != meet(top,X0)
| complement(join(complement(X0),zero)) = meet(top,X0) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X0),zero)),complement(join(zero,complement(X0)))) )],[refute_0_241,refute_0_242]) ).
cnf(refute_0_244,plain,
complement(join(complement(X0),zero)) = meet(top,X0),
inference(resolve,[$cnf( $equal(complement(join(zero,complement(X0))),meet(top,X0)) )],[refute_0_236,refute_0_243]) ).
cnf(refute_0_245,plain,
( complement(join(complement(X0),zero)) != meet(top,X0)
| meet(X0,top) != complement(join(complement(X0),zero))
| meet(X0,top) = meet(top,X0) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X0,top),complement(join(complement(X0),zero))) ),[1],$fot(meet(top,X0))]]) ).
cnf(refute_0_246,plain,
( meet(X0,top) != complement(join(complement(X0),zero))
| meet(X0,top) = meet(top,X0) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X0),zero)),meet(top,X0)) )],[refute_0_244,refute_0_245]) ).
cnf(refute_0_247,plain,
meet(X0,top) = meet(top,X0),
inference(resolve,[$cnf( $equal(meet(X0,top),complement(join(complement(X0),zero))) )],[refute_0_229,refute_0_246]) ).
cnf(refute_0_248,plain,
meet(complement(complement(top)),top) = meet(top,complement(complement(top))),
inference(subst,[],[refute_0_247:[bind(X0,$fot(complement(complement(top))))]]) ).
cnf(refute_0_249,plain,
( meet(complement(complement(top)),top) != meet(top,complement(complement(top)))
| meet(top,complement(complement(top))) != meet(top,complement(zero))
| meet(complement(complement(top)),top) = meet(top,complement(zero)) ),
inference(subst,[],[refute_0_100:[bind(X,$fot(meet(complement(complement(top)),top))),bind(Y,$fot(meet(top,complement(complement(top))))),bind(Z,$fot(meet(top,complement(zero))))]]) ).
cnf(refute_0_250,plain,
( meet(top,complement(complement(top))) != meet(top,complement(zero))
| meet(complement(complement(top)),top) = meet(top,complement(zero)) ),
inference(resolve,[$cnf( $equal(meet(complement(complement(top)),top),meet(top,complement(complement(top)))) )],[refute_0_248,refute_0_249]) ).
cnf(refute_0_251,plain,
meet(complement(complement(top)),top) = meet(top,complement(zero)),
inference(resolve,[$cnf( $equal(meet(top,complement(complement(top))),meet(top,complement(zero))) )],[refute_0_225,refute_0_250]) ).
cnf(refute_0_252,plain,
join(zero,meet(complement(complement(top)),top)) = join(zero,meet(complement(complement(top)),top)),
introduced(tautology,[refl,[$fot(join(zero,meet(complement(complement(top)),top)))]]) ).
cnf(refute_0_253,plain,
( join(zero,meet(complement(complement(top)),top)) != join(zero,meet(complement(complement(top)),top))
| meet(complement(complement(top)),top) != meet(top,complement(zero))
| join(zero,meet(complement(complement(top)),top)) = join(zero,meet(top,complement(zero))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(complement(complement(top)),top)),join(zero,meet(complement(complement(top)),top))) ),[1,1],$fot(meet(top,complement(zero)))]]) ).
cnf(refute_0_254,plain,
( meet(complement(complement(top)),top) != meet(top,complement(zero))
| join(zero,meet(complement(complement(top)),top)) = join(zero,meet(top,complement(zero))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(complement(top)),top)),join(zero,meet(complement(complement(top)),top))) )],[refute_0_252,refute_0_253]) ).
cnf(refute_0_255,plain,
join(zero,meet(complement(complement(top)),top)) = join(zero,meet(top,complement(zero))),
inference(resolve,[$cnf( $equal(meet(complement(complement(top)),top),meet(top,complement(zero))) )],[refute_0_251,refute_0_254]) ).
cnf(refute_0_256,plain,
( join(zero,meet(complement(complement(top)),top)) != join(zero,meet(top,complement(zero)))
| join(zero,meet(top,complement(zero))) != top
| join(zero,meet(complement(complement(top)),top)) = top ),
inference(subst,[],[refute_0_100:[bind(X,$fot(join(zero,meet(complement(complement(top)),top)))),bind(Y,$fot(join(zero,meet(top,complement(zero))))),bind(Z,$fot(top))]]) ).
cnf(refute_0_257,plain,
( join(zero,meet(top,complement(zero))) != top
| join(zero,meet(complement(complement(top)),top)) = top ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(complement(top)),top)),join(zero,meet(top,complement(zero)))) )],[refute_0_255,refute_0_256]) ).
cnf(refute_0_258,plain,
join(zero,meet(complement(complement(top)),top)) = top,
inference(resolve,[$cnf( $equal(join(zero,meet(top,complement(zero))),top) )],[refute_0_221,refute_0_257]) ).
cnf(refute_0_259,plain,
( complement(zero) != join(zero,meet(complement(complement(top)),top))
| join(zero,meet(complement(complement(top)),top)) != top
| complement(zero) = top ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(zero),top) ),[0],$fot(join(zero,meet(complement(complement(top)),top)))]]) ).
cnf(refute_0_260,plain,
( complement(zero) != join(zero,meet(complement(complement(top)),top))
| complement(zero) = top ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(complement(top)),top)),top) )],[refute_0_258,refute_0_259]) ).
cnf(refute_0_261,plain,
( complement(complement(top)) != join(zero,meet(complement(complement(top)),top))
| complement(zero) = top ),
inference(resolve,[$cnf( $equal(complement(zero),join(zero,meet(complement(complement(top)),top))) )],[refute_0_216,refute_0_260]) ).
cnf(refute_0_262,plain,
complement(zero) = top,
inference(resolve,[$cnf( $equal(complement(complement(top)),join(zero,meet(complement(complement(top)),top))) )],[refute_0_210,refute_0_261]) ).
cnf(refute_0_263,plain,
( complement(zero) != top
| meet(zero,X1) != complement(join(complement(zero),complement(X1)))
| meet(zero,X1) = complement(join(top,complement(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(zero,X1),complement(join(complement(zero),complement(X1)))) ),[1,0,0],$fot(top)]]) ).
cnf(refute_0_264,plain,
( meet(zero,X1) != complement(join(complement(zero),complement(X1)))
| meet(zero,X1) = complement(join(top,complement(X1))) ),
inference(resolve,[$cnf( $equal(complement(zero),top) )],[refute_0_262,refute_0_263]) ).
cnf(refute_0_265,plain,
meet(zero,X1) = complement(join(top,complement(X1))),
inference(resolve,[$cnf( $equal(meet(zero,X1),complement(join(complement(zero),complement(X1)))) )],[refute_0_154,refute_0_264]) ).
cnf(refute_0_266,plain,
meet(zero,X_58) = complement(join(top,complement(X_58))),
inference(subst,[],[refute_0_265:[bind(X1,$fot(X_58))]]) ).
cnf(refute_0_267,plain,
( meet(zero,X_58) != complement(join(top,complement(X_58)))
| complement(join(top,complement(X_58))) = meet(zero,X_58) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(zero,X_58))),bind(Y,$fot(complement(join(top,complement(X_58)))))]]) ).
cnf(refute_0_268,plain,
complement(join(top,complement(X_58))) = meet(zero,X_58),
inference(resolve,[$cnf( $equal(meet(zero,X_58),complement(join(top,complement(X_58)))) )],[refute_0_266,refute_0_267]) ).
cnf(refute_0_269,plain,
( complement(join(top,complement(X_58))) != meet(zero,X_58)
| join(top,complement(X_58)) != join(zero,meet(join(top,complement(X_58)),complement(complement(join(top,complement(X_58))))))
| join(top,complement(X_58)) = join(zero,meet(join(top,complement(X_58)),complement(meet(zero,X_58)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(top,complement(X_58)),join(zero,meet(join(top,complement(X_58)),complement(complement(join(top,complement(X_58))))))) ),[1,1,1,0],$fot(meet(zero,X_58))]]) ).
cnf(refute_0_270,plain,
( join(top,complement(X_58)) != join(zero,meet(join(top,complement(X_58)),complement(complement(join(top,complement(X_58))))))
| join(top,complement(X_58)) = join(zero,meet(join(top,complement(X_58)),complement(meet(zero,X_58)))) ),
inference(resolve,[$cnf( $equal(complement(join(top,complement(X_58))),meet(zero,X_58)) )],[refute_0_268,refute_0_269]) ).
cnf(refute_0_271,plain,
join(top,complement(X_58)) = join(zero,meet(join(top,complement(X_58)),complement(meet(zero,X_58)))),
inference(resolve,[$cnf( $equal(join(top,complement(X_58)),join(zero,meet(join(top,complement(X_58)),complement(complement(join(top,complement(X_58))))))) )],[refute_0_153,refute_0_270]) ).
cnf(refute_0_272,plain,
( meet(X_14,X_15) != meet(X_15,X_14)
| meet(X_15,X_14) = meet(X_14,X_15) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(X_14,X_15))),bind(Y,$fot(meet(X_15,X_14)))]]) ).
cnf(refute_0_273,plain,
meet(X_15,X_14) = meet(X_14,X_15),
inference(resolve,[$cnf( $equal(meet(X_14,X_15),meet(X_15,X_14)) )],[refute_0_197,refute_0_272]) ).
cnf(refute_0_274,plain,
meet(join(top,complement(X_58)),complement(meet(zero,X_58))) = meet(complement(meet(zero,X_58)),join(top,complement(X_58))),
inference(subst,[],[refute_0_273:[bind(X_14,$fot(complement(meet(zero,X_58)))),bind(X_15,$fot(join(top,complement(X_58))))]]) ).
cnf(refute_0_275,plain,
join(zero,meet(join(top,complement(X_58)),complement(meet(zero,X_58)))) = join(zero,meet(join(top,complement(X_58)),complement(meet(zero,X_58)))),
introduced(tautology,[refl,[$fot(join(zero,meet(join(top,complement(X_58)),complement(meet(zero,X_58)))))]]) ).
cnf(refute_0_276,plain,
( join(zero,meet(join(top,complement(X_58)),complement(meet(zero,X_58)))) != join(zero,meet(join(top,complement(X_58)),complement(meet(zero,X_58))))
| meet(join(top,complement(X_58)),complement(meet(zero,X_58))) != meet(complement(meet(zero,X_58)),join(top,complement(X_58)))
| join(zero,meet(join(top,complement(X_58)),complement(meet(zero,X_58)))) = join(zero,meet(complement(meet(zero,X_58)),join(top,complement(X_58)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(join(top,complement(X_58)),complement(meet(zero,X_58)))),join(zero,meet(join(top,complement(X_58)),complement(meet(zero,X_58))))) ),[1,1],$fot(meet(complement(meet(zero,X_58)),join(top,complement(X_58))))]]) ).
cnf(refute_0_277,plain,
( meet(join(top,complement(X_58)),complement(meet(zero,X_58))) != meet(complement(meet(zero,X_58)),join(top,complement(X_58)))
| join(zero,meet(join(top,complement(X_58)),complement(meet(zero,X_58)))) = join(zero,meet(complement(meet(zero,X_58)),join(top,complement(X_58)))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(join(top,complement(X_58)),complement(meet(zero,X_58)))),join(zero,meet(join(top,complement(X_58)),complement(meet(zero,X_58))))) )],[refute_0_275,refute_0_276]) ).
cnf(refute_0_278,plain,
join(zero,meet(join(top,complement(X_58)),complement(meet(zero,X_58)))) = join(zero,meet(complement(meet(zero,X_58)),join(top,complement(X_58)))),
inference(resolve,[$cnf( $equal(meet(join(top,complement(X_58)),complement(meet(zero,X_58))),meet(complement(meet(zero,X_58)),join(top,complement(X_58)))) )],[refute_0_274,refute_0_277]) ).
cnf(refute_0_279,plain,
( join(top,complement(X_58)) != join(zero,meet(join(top,complement(X_58)),complement(meet(zero,X_58))))
| join(zero,meet(join(top,complement(X_58)),complement(meet(zero,X_58)))) != join(zero,meet(complement(meet(zero,X_58)),join(top,complement(X_58))))
| join(top,complement(X_58)) = join(zero,meet(complement(meet(zero,X_58)),join(top,complement(X_58)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(top,complement(X_58)),join(zero,meet(complement(meet(zero,X_58)),join(top,complement(X_58))))) ),[0],$fot(join(zero,meet(join(top,complement(X_58)),complement(meet(zero,X_58)))))]]) ).
cnf(refute_0_280,plain,
( join(top,complement(X_58)) != join(zero,meet(join(top,complement(X_58)),complement(meet(zero,X_58))))
| join(top,complement(X_58)) = join(zero,meet(complement(meet(zero,X_58)),join(top,complement(X_58)))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(join(top,complement(X_58)),complement(meet(zero,X_58)))),join(zero,meet(complement(meet(zero,X_58)),join(top,complement(X_58))))) )],[refute_0_278,refute_0_279]) ).
cnf(refute_0_281,plain,
join(top,complement(X_58)) = join(zero,meet(complement(meet(zero,X_58)),join(top,complement(X_58)))),
inference(resolve,[$cnf( $equal(join(top,complement(X_58)),join(zero,meet(join(top,complement(X_58)),complement(meet(zero,X_58))))) )],[refute_0_271,refute_0_280]) ).
cnf(refute_0_282,plain,
meet(top,composition(complement(X_62),join(one,one))) = complement(join(zero,complement(composition(complement(X_62),join(one,one))))),
inference(subst,[],[refute_0_233:[bind(X1,$fot(composition(complement(X_62),join(one,one))))]]) ).
cnf(refute_0_283,plain,
X_40 = join(meet(X_40,complement(X_40)),complement(join(complement(X_40),complement(X_40)))),
inference(subst,[],[refute_0_106:[bind(X0,$fot(X_40)),bind(X1,$fot(complement(X_40)))]]) ).
cnf(refute_0_284,plain,
converse(composition(X_4,converse(X0))) = composition(converse(converse(X0)),converse(X_4)),
inference(subst,[],[refute_0_19:[bind(X0,$fot(X_4)),bind(X1,$fot(converse(X0)))]]) ).
cnf(refute_0_285,plain,
( converse(composition(X_4,converse(X0))) != composition(converse(converse(X0)),converse(X_4))
| converse(converse(X0)) != X0
| converse(composition(X_4,converse(X0))) = composition(X0,converse(X_4)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(X_4,converse(X0))),composition(converse(converse(X0)),converse(X_4))) ),[1,0],$fot(X0)]]) ).
cnf(refute_0_286,plain,
( converse(composition(X_4,converse(X0))) != composition(converse(converse(X0)),converse(X_4))
| converse(composition(X_4,converse(X0))) = composition(X0,converse(X_4)) ),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_0_1,refute_0_285]) ).
cnf(refute_0_287,plain,
converse(composition(X_4,converse(X0))) = composition(X0,converse(X_4)),
inference(resolve,[$cnf( $equal(converse(composition(X_4,converse(X0))),composition(converse(converse(X0)),converse(X_4))) )],[refute_0_284,refute_0_286]) ).
cnf(refute_0_288,plain,
converse(composition(join(one,one),converse(X0))) = composition(X0,converse(join(one,one))),
inference(subst,[],[refute_0_287:[bind(X_4,$fot(join(one,one)))]]) ).
cnf(refute_0_289,plain,
composition(join(one,one),X_35) = join(X_35,composition(one,X_35)),
inference(subst,[],[refute_0_59:[bind(X_31,$fot(one)),bind(X_33,$fot(X_35))]]) ).
cnf(refute_0_290,plain,
X_35 = composition(one,X_35),
inference(subst,[],[refute_0_49:[bind(X_8,$fot(X_35))]]) ).
cnf(refute_0_291,plain,
( X_35 != composition(one,X_35)
| composition(one,X_35) = X_35 ),
inference(subst,[],[refute_0_7:[bind(X,$fot(X_35)),bind(Y,$fot(composition(one,X_35)))]]) ).
cnf(refute_0_292,plain,
composition(one,X_35) = X_35,
inference(resolve,[$cnf( $equal(X_35,composition(one,X_35)) )],[refute_0_290,refute_0_291]) ).
cnf(refute_0_293,plain,
( composition(join(one,one),X_35) != join(X_35,composition(one,X_35))
| composition(one,X_35) != X_35
| composition(join(one,one),X_35) = join(X_35,X_35) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,one),X_35),join(X_35,composition(one,X_35))) ),[1,1],$fot(X_35)]]) ).
cnf(refute_0_294,plain,
( composition(join(one,one),X_35) != join(X_35,composition(one,X_35))
| composition(join(one,one),X_35) = join(X_35,X_35) ),
inference(resolve,[$cnf( $equal(composition(one,X_35),X_35) )],[refute_0_292,refute_0_293]) ).
cnf(refute_0_295,plain,
composition(join(one,one),X_35) = join(X_35,X_35),
inference(resolve,[$cnf( $equal(composition(join(one,one),X_35),join(X_35,composition(one,X_35))) )],[refute_0_289,refute_0_294]) ).
cnf(refute_0_296,plain,
composition(join(one,one),converse(X0)) = join(converse(X0),converse(X0)),
inference(subst,[],[refute_0_295:[bind(X_35,$fot(converse(X0)))]]) ).
cnf(refute_0_297,plain,
( composition(join(one,one),converse(X0)) != join(converse(X0),converse(X0))
| converse(composition(join(one,one),converse(X0))) != composition(X0,converse(join(one,one)))
| converse(join(converse(X0),converse(X0))) = composition(X0,converse(join(one,one))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(join(one,one),converse(X0))),composition(X0,converse(join(one,one)))) ),[0,0],$fot(join(converse(X0),converse(X0)))]]) ).
cnf(refute_0_298,plain,
( converse(composition(join(one,one),converse(X0))) != composition(X0,converse(join(one,one)))
| converse(join(converse(X0),converse(X0))) = composition(X0,converse(join(one,one))) ),
inference(resolve,[$cnf( $equal(composition(join(one,one),converse(X0)),join(converse(X0),converse(X0))) )],[refute_0_296,refute_0_297]) ).
cnf(refute_0_299,plain,
converse(join(converse(X0),converse(X0))) = composition(X0,converse(join(one,one))),
inference(resolve,[$cnf( $equal(converse(composition(join(one,one),converse(X0))),composition(X0,converse(join(one,one)))) )],[refute_0_288,refute_0_298]) ).
cnf(refute_0_300,plain,
join(X0,converse(converse(X0))) = join(X0,converse(converse(X0))),
introduced(tautology,[refl,[$fot(join(X0,converse(converse(X0))))]]) ).
cnf(refute_0_301,plain,
( converse(converse(X0)) != X0
| join(X0,converse(converse(X0))) != join(X0,converse(converse(X0)))
| join(X0,converse(converse(X0))) = join(X0,X0) ),
introduced(tautology,[equality,[$cnf( $equal(join(X0,converse(converse(X0))),join(X0,converse(converse(X0)))) ),[1,1],$fot(X0)]]) ).
cnf(refute_0_302,plain,
( converse(converse(X0)) != X0
| join(X0,converse(converse(X0))) = join(X0,X0) ),
inference(resolve,[$cnf( $equal(join(X0,converse(converse(X0))),join(X0,converse(converse(X0)))) )],[refute_0_300,refute_0_301]) ).
cnf(refute_0_303,plain,
join(X0,converse(converse(X0))) = join(X0,X0),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_0_1,refute_0_302]) ).
cnf(refute_0_304,plain,
converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(canonicalize,[],[normalize_0_27]) ).
cnf(refute_0_305,plain,
converse(join(converse(X0),X_23)) = join(converse(converse(X0)),converse(X_23)),
inference(subst,[],[refute_0_304:[bind(X0,$fot(converse(X0))),bind(X1,$fot(X_23))]]) ).
cnf(refute_0_306,plain,
( converse(converse(X0)) != X0
| converse(join(converse(X0),X_23)) != join(converse(converse(X0)),converse(X_23))
| converse(join(converse(X0),X_23)) = join(X0,converse(X_23)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X0),X_23)),join(converse(converse(X0)),converse(X_23))) ),[1,0],$fot(X0)]]) ).
cnf(refute_0_307,plain,
( converse(join(converse(X0),X_23)) != join(converse(converse(X0)),converse(X_23))
| converse(join(converse(X0),X_23)) = join(X0,converse(X_23)) ),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_0_1,refute_0_306]) ).
cnf(refute_0_308,plain,
converse(join(converse(X0),X_23)) = join(X0,converse(X_23)),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),X_23)),join(converse(converse(X0)),converse(X_23))) )],[refute_0_305,refute_0_307]) ).
cnf(refute_0_309,plain,
converse(join(converse(X0),converse(X0))) = join(X0,converse(converse(X0))),
inference(subst,[],[refute_0_308:[bind(X_23,$fot(converse(X0)))]]) ).
cnf(refute_0_310,plain,
( converse(join(converse(X0),converse(X0))) != join(X0,converse(converse(X0)))
| join(X0,converse(converse(X0))) != join(X0,X0)
| converse(join(converse(X0),converse(X0))) = join(X0,X0) ),
inference(subst,[],[refute_0_100:[bind(X,$fot(converse(join(converse(X0),converse(X0))))),bind(Y,$fot(join(X0,converse(converse(X0))))),bind(Z,$fot(join(X0,X0)))]]) ).
cnf(refute_0_311,plain,
( join(X0,converse(converse(X0))) != join(X0,X0)
| converse(join(converse(X0),converse(X0))) = join(X0,X0) ),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),converse(X0))),join(X0,converse(converse(X0)))) )],[refute_0_309,refute_0_310]) ).
cnf(refute_0_312,plain,
converse(join(converse(X0),converse(X0))) = join(X0,X0),
inference(resolve,[$cnf( $equal(join(X0,converse(converse(X0))),join(X0,X0)) )],[refute_0_303,refute_0_311]) ).
cnf(refute_0_313,plain,
( converse(join(converse(X0),converse(X0))) != composition(X0,converse(join(one,one)))
| converse(join(converse(X0),converse(X0))) != join(X0,X0)
| join(X0,X0) = composition(X0,converse(join(one,one))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X0),converse(X0))),composition(X0,converse(join(one,one)))) ),[0],$fot(join(X0,X0))]]) ).
cnf(refute_0_314,plain,
( converse(join(converse(X0),converse(X0))) != composition(X0,converse(join(one,one)))
| join(X0,X0) = composition(X0,converse(join(one,one))) ),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),converse(X0))),join(X0,X0)) )],[refute_0_312,refute_0_313]) ).
cnf(refute_0_315,plain,
converse(join(X_22,one)) = join(converse(X_22),converse(one)),
inference(subst,[],[refute_0_304:[bind(X0,$fot(X_22)),bind(X1,$fot(one))]]) ).
cnf(refute_0_316,plain,
( converse(join(X_22,one)) != join(converse(X_22),converse(one))
| converse(one) != one
| converse(join(X_22,one)) = join(converse(X_22),one) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X_22,one)),join(converse(X_22),converse(one))) ),[1,1],$fot(one)]]) ).
cnf(refute_0_317,plain,
( converse(join(X_22,one)) != join(converse(X_22),converse(one))
| converse(join(X_22,one)) = join(converse(X_22),one) ),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_42,refute_0_316]) ).
cnf(refute_0_318,plain,
converse(join(X_22,one)) = join(converse(X_22),one),
inference(resolve,[$cnf( $equal(converse(join(X_22,one)),join(converse(X_22),converse(one))) )],[refute_0_315,refute_0_317]) ).
cnf(refute_0_319,plain,
join(converse(X_22),one) = join(one,converse(X_22)),
inference(subst,[],[refute_0_9:[bind(X0,$fot(one)),bind(X1,$fot(converse(X_22)))]]) ).
cnf(refute_0_320,plain,
( converse(join(X_22,one)) != join(converse(X_22),one)
| join(converse(X_22),one) != join(one,converse(X_22))
| converse(join(X_22,one)) = join(one,converse(X_22)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(join(X_22,one)),join(one,converse(X_22))) ),[0],$fot(join(converse(X_22),one))]]) ).
cnf(refute_0_321,plain,
( converse(join(X_22,one)) != join(converse(X_22),one)
| converse(join(X_22,one)) = join(one,converse(X_22)) ),
inference(resolve,[$cnf( $equal(join(converse(X_22),one),join(one,converse(X_22))) )],[refute_0_319,refute_0_320]) ).
cnf(refute_0_322,plain,
converse(join(X_22,one)) = join(one,converse(X_22)),
inference(resolve,[$cnf( $equal(converse(join(X_22,one)),join(converse(X_22),one)) )],[refute_0_318,refute_0_321]) ).
cnf(refute_0_323,plain,
converse(join(one,one)) = join(one,converse(one)),
inference(subst,[],[refute_0_322:[bind(X_22,$fot(one))]]) ).
cnf(refute_0_324,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_325,plain,
( converse(join(one,one)) != join(one,converse(one))
| converse(join(one,one)) = join(one,one) ),
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_42,refute_0_324]) ).
cnf(refute_0_326,plain,
converse(join(one,one)) = join(one,one),
inference(resolve,[$cnf( $equal(converse(join(one,one)),join(one,converse(one))) )],[refute_0_323,refute_0_325]) ).
cnf(refute_0_327,plain,
composition(X0,converse(join(one,one))) = composition(X0,converse(join(one,one))),
introduced(tautology,[refl,[$fot(composition(X0,converse(join(one,one))))]]) ).
cnf(refute_0_328,plain,
( composition(X0,converse(join(one,one))) != composition(X0,converse(join(one,one)))
| converse(join(one,one)) != join(one,one)
| composition(X0,converse(join(one,one))) = composition(X0,join(one,one)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(X0,converse(join(one,one))),composition(X0,converse(join(one,one)))) ),[1,1],$fot(join(one,one))]]) ).
cnf(refute_0_329,plain,
( converse(join(one,one)) != join(one,one)
| composition(X0,converse(join(one,one))) = composition(X0,join(one,one)) ),
inference(resolve,[$cnf( $equal(composition(X0,converse(join(one,one))),composition(X0,converse(join(one,one)))) )],[refute_0_327,refute_0_328]) ).
cnf(refute_0_330,plain,
composition(X0,converse(join(one,one))) = composition(X0,join(one,one)),
inference(resolve,[$cnf( $equal(converse(join(one,one)),join(one,one)) )],[refute_0_326,refute_0_329]) ).
cnf(refute_0_331,plain,
( composition(X0,converse(join(one,one))) != composition(X0,join(one,one))
| join(X0,X0) != composition(X0,converse(join(one,one)))
| join(X0,X0) = composition(X0,join(one,one)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X0,X0),composition(X0,converse(join(one,one)))) ),[1],$fot(composition(X0,join(one,one)))]]) ).
cnf(refute_0_332,plain,
( join(X0,X0) != composition(X0,converse(join(one,one)))
| join(X0,X0) = composition(X0,join(one,one)) ),
inference(resolve,[$cnf( $equal(composition(X0,converse(join(one,one))),composition(X0,join(one,one))) )],[refute_0_330,refute_0_331]) ).
cnf(refute_0_333,plain,
( converse(join(converse(X0),converse(X0))) != composition(X0,converse(join(one,one)))
| join(X0,X0) = composition(X0,join(one,one)) ),
inference(resolve,[$cnf( $equal(join(X0,X0),composition(X0,converse(join(one,one)))) )],[refute_0_314,refute_0_332]) ).
cnf(refute_0_334,plain,
join(X0,X0) = composition(X0,join(one,one)),
inference(resolve,[$cnf( $equal(converse(join(converse(X0),converse(X0))),composition(X0,converse(join(one,one)))) )],[refute_0_299,refute_0_333]) ).
cnf(refute_0_335,plain,
join(complement(X_40),complement(X_40)) = composition(complement(X_40),join(one,one)),
inference(subst,[],[refute_0_334:[bind(X0,$fot(complement(X_40)))]]) ).
cnf(refute_0_336,plain,
( X_40 != join(meet(X_40,complement(X_40)),complement(join(complement(X_40),complement(X_40))))
| join(complement(X_40),complement(X_40)) != composition(complement(X_40),join(one,one))
| X_40 = join(meet(X_40,complement(X_40)),complement(composition(complement(X_40),join(one,one)))) ),
introduced(tautology,[equality,[$cnf( $equal(X_40,join(meet(X_40,complement(X_40)),complement(join(complement(X_40),complement(X_40))))) ),[1,1,0],$fot(composition(complement(X_40),join(one,one)))]]) ).
cnf(refute_0_337,plain,
( X_40 != join(meet(X_40,complement(X_40)),complement(join(complement(X_40),complement(X_40))))
| X_40 = join(meet(X_40,complement(X_40)),complement(composition(complement(X_40),join(one,one)))) ),
inference(resolve,[$cnf( $equal(join(complement(X_40),complement(X_40)),composition(complement(X_40),join(one,one))) )],[refute_0_335,refute_0_336]) ).
cnf(refute_0_338,plain,
X_40 = join(meet(X_40,complement(X_40)),complement(composition(complement(X_40),join(one,one)))),
inference(resolve,[$cnf( $equal(X_40,join(meet(X_40,complement(X_40)),complement(join(complement(X_40),complement(X_40))))) )],[refute_0_283,refute_0_337]) ).
cnf(refute_0_339,plain,
( zero != meet(X0,complement(X0))
| meet(X0,complement(X0)) = zero ),
inference(subst,[],[refute_0_7:[bind(X,$fot(zero)),bind(Y,$fot(meet(X0,complement(X0))))]]) ).
cnf(refute_0_340,plain,
meet(X0,complement(X0)) = zero,
inference(resolve,[$cnf( $equal(zero,meet(X0,complement(X0))) )],[refute_0_114,refute_0_339]) ).
cnf(refute_0_341,plain,
meet(X_40,complement(X_40)) = zero,
inference(subst,[],[refute_0_340:[bind(X0,$fot(X_40))]]) ).
cnf(refute_0_342,plain,
join(meet(X_40,complement(X_40)),complement(composition(complement(X_40),join(one,one)))) = join(meet(X_40,complement(X_40)),complement(composition(complement(X_40),join(one,one)))),
introduced(tautology,[refl,[$fot(join(meet(X_40,complement(X_40)),complement(composition(complement(X_40),join(one,one)))))]]) ).
cnf(refute_0_343,plain,
( join(meet(X_40,complement(X_40)),complement(composition(complement(X_40),join(one,one)))) != join(meet(X_40,complement(X_40)),complement(composition(complement(X_40),join(one,one))))
| meet(X_40,complement(X_40)) != zero
| join(meet(X_40,complement(X_40)),complement(composition(complement(X_40),join(one,one)))) = join(zero,complement(composition(complement(X_40),join(one,one)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_40,complement(X_40)),complement(composition(complement(X_40),join(one,one)))),join(meet(X_40,complement(X_40)),complement(composition(complement(X_40),join(one,one))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_344,plain,
( meet(X_40,complement(X_40)) != zero
| join(meet(X_40,complement(X_40)),complement(composition(complement(X_40),join(one,one)))) = join(zero,complement(composition(complement(X_40),join(one,one)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_40,complement(X_40)),complement(composition(complement(X_40),join(one,one)))),join(meet(X_40,complement(X_40)),complement(composition(complement(X_40),join(one,one))))) )],[refute_0_342,refute_0_343]) ).
cnf(refute_0_345,plain,
join(meet(X_40,complement(X_40)),complement(composition(complement(X_40),join(one,one)))) = join(zero,complement(composition(complement(X_40),join(one,one)))),
inference(resolve,[$cnf( $equal(meet(X_40,complement(X_40)),zero) )],[refute_0_341,refute_0_344]) ).
cnf(refute_0_346,plain,
( X_40 != join(meet(X_40,complement(X_40)),complement(composition(complement(X_40),join(one,one))))
| join(meet(X_40,complement(X_40)),complement(composition(complement(X_40),join(one,one)))) != join(zero,complement(composition(complement(X_40),join(one,one))))
| X_40 = join(zero,complement(composition(complement(X_40),join(one,one)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_40,join(zero,complement(composition(complement(X_40),join(one,one))))) ),[0],$fot(join(meet(X_40,complement(X_40)),complement(composition(complement(X_40),join(one,one)))))]]) ).
cnf(refute_0_347,plain,
( X_40 != join(meet(X_40,complement(X_40)),complement(composition(complement(X_40),join(one,one))))
| X_40 = join(zero,complement(composition(complement(X_40),join(one,one)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_40,complement(X_40)),complement(composition(complement(X_40),join(one,one)))),join(zero,complement(composition(complement(X_40),join(one,one))))) )],[refute_0_345,refute_0_346]) ).
cnf(refute_0_348,plain,
X_40 = join(zero,complement(composition(complement(X_40),join(one,one)))),
inference(resolve,[$cnf( $equal(X_40,join(meet(X_40,complement(X_40)),complement(composition(complement(X_40),join(one,one))))) )],[refute_0_338,refute_0_347]) ).
cnf(refute_0_349,plain,
X_62 = join(zero,complement(composition(complement(X_62),join(one,one)))),
inference(subst,[],[refute_0_348:[bind(X_40,$fot(X_62))]]) ).
cnf(refute_0_350,plain,
( X_62 != join(zero,complement(composition(complement(X_62),join(one,one))))
| join(zero,complement(composition(complement(X_62),join(one,one)))) = X_62 ),
inference(subst,[],[refute_0_7:[bind(X,$fot(X_62)),bind(Y,$fot(join(zero,complement(composition(complement(X_62),join(one,one))))))]]) ).
cnf(refute_0_351,plain,
join(zero,complement(composition(complement(X_62),join(one,one)))) = X_62,
inference(resolve,[$cnf( $equal(X_62,join(zero,complement(composition(complement(X_62),join(one,one))))) )],[refute_0_349,refute_0_350]) ).
cnf(refute_0_352,plain,
( join(zero,complement(composition(complement(X_62),join(one,one)))) != X_62
| meet(top,composition(complement(X_62),join(one,one))) != complement(join(zero,complement(composition(complement(X_62),join(one,one)))))
| meet(top,composition(complement(X_62),join(one,one))) = complement(X_62) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,composition(complement(X_62),join(one,one))),complement(join(zero,complement(composition(complement(X_62),join(one,one)))))) ),[1,0],$fot(X_62)]]) ).
cnf(refute_0_353,plain,
( meet(top,composition(complement(X_62),join(one,one))) != complement(join(zero,complement(composition(complement(X_62),join(one,one)))))
| meet(top,composition(complement(X_62),join(one,one))) = complement(X_62) ),
inference(resolve,[$cnf( $equal(join(zero,complement(composition(complement(X_62),join(one,one)))),X_62) )],[refute_0_351,refute_0_352]) ).
cnf(refute_0_354,plain,
meet(top,composition(complement(X_62),join(one,one))) = complement(X_62),
inference(resolve,[$cnf( $equal(meet(top,composition(complement(X_62),join(one,one))),complement(join(zero,complement(composition(complement(X_62),join(one,one)))))) )],[refute_0_282,refute_0_353]) ).
cnf(refute_0_355,plain,
meet(top,composition(complement(join(complement(X0),complement(X1))),join(one,one))) = complement(join(complement(X0),complement(X1))),
inference(subst,[],[refute_0_354:[bind(X_62,$fot(join(complement(X0),complement(X1))))]]) ).
cnf(refute_0_356,plain,
( complement(join(complement(X0),complement(X1))) != meet(X0,X1)
| meet(top,composition(complement(join(complement(X0),complement(X1))),join(one,one))) != complement(join(complement(X0),complement(X1)))
| meet(top,composition(meet(X0,X1),join(one,one))) = complement(join(complement(X0),complement(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,composition(complement(join(complement(X0),complement(X1))),join(one,one))),complement(join(complement(X0),complement(X1)))) ),[0,1,0],$fot(meet(X0,X1))]]) ).
cnf(refute_0_357,plain,
( meet(top,composition(complement(join(complement(X0),complement(X1))),join(one,one))) != complement(join(complement(X0),complement(X1)))
| meet(top,composition(meet(X0,X1),join(one,one))) = complement(join(complement(X0),complement(X1))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X0),complement(X1))),meet(X0,X1)) )],[refute_0_94,refute_0_356]) ).
cnf(refute_0_358,plain,
meet(top,composition(meet(X0,X1),join(one,one))) = complement(join(complement(X0),complement(X1))),
inference(resolve,[$cnf( $equal(meet(top,composition(complement(join(complement(X0),complement(X1))),join(one,one))),complement(join(complement(X0),complement(X1)))) )],[refute_0_355,refute_0_357]) ).
cnf(refute_0_359,plain,
join(X_35,X_35) = composition(X_35,join(one,one)),
inference(subst,[],[refute_0_334:[bind(X0,$fot(X_35))]]) ).
cnf(refute_0_360,plain,
( composition(join(one,one),X_35) != join(X_35,X_35)
| join(X_35,X_35) != composition(X_35,join(one,one))
| composition(join(one,one),X_35) = composition(X_35,join(one,one)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(one,one),X_35),composition(X_35,join(one,one))) ),[0],$fot(join(X_35,X_35))]]) ).
cnf(refute_0_361,plain,
( composition(join(one,one),X_35) != join(X_35,X_35)
| composition(join(one,one),X_35) = composition(X_35,join(one,one)) ),
inference(resolve,[$cnf( $equal(join(X_35,X_35),composition(X_35,join(one,one))) )],[refute_0_359,refute_0_360]) ).
cnf(refute_0_362,plain,
composition(join(one,one),X_35) = composition(X_35,join(one,one)),
inference(resolve,[$cnf( $equal(composition(join(one,one),X_35),join(X_35,X_35)) )],[refute_0_295,refute_0_361]) ).
cnf(refute_0_363,plain,
( composition(join(one,one),X_35) != composition(X_35,join(one,one))
| composition(X_35,join(one,one)) = composition(join(one,one),X_35) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(composition(join(one,one),X_35))),bind(Y,$fot(composition(X_35,join(one,one))))]]) ).
cnf(refute_0_364,plain,
composition(X_35,join(one,one)) = composition(join(one,one),X_35),
inference(resolve,[$cnf( $equal(composition(join(one,one),X_35),composition(X_35,join(one,one))) )],[refute_0_362,refute_0_363]) ).
cnf(refute_0_365,plain,
composition(meet(X0,X1),join(one,one)) = composition(join(one,one),meet(X0,X1)),
inference(subst,[],[refute_0_364:[bind(X_35,$fot(meet(X0,X1)))]]) ).
cnf(refute_0_366,plain,
meet(top,composition(meet(X0,X1),join(one,one))) = meet(top,composition(meet(X0,X1),join(one,one))),
introduced(tautology,[refl,[$fot(meet(top,composition(meet(X0,X1),join(one,one))))]]) ).
cnf(refute_0_367,plain,
( composition(meet(X0,X1),join(one,one)) != composition(join(one,one),meet(X0,X1))
| meet(top,composition(meet(X0,X1),join(one,one))) != meet(top,composition(meet(X0,X1),join(one,one)))
| meet(top,composition(meet(X0,X1),join(one,one))) = meet(top,composition(join(one,one),meet(X0,X1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,composition(meet(X0,X1),join(one,one))),meet(top,composition(meet(X0,X1),join(one,one)))) ),[1,1],$fot(composition(join(one,one),meet(X0,X1)))]]) ).
cnf(refute_0_368,plain,
( composition(meet(X0,X1),join(one,one)) != composition(join(one,one),meet(X0,X1))
| meet(top,composition(meet(X0,X1),join(one,one))) = meet(top,composition(join(one,one),meet(X0,X1))) ),
inference(resolve,[$cnf( $equal(meet(top,composition(meet(X0,X1),join(one,one))),meet(top,composition(meet(X0,X1),join(one,one)))) )],[refute_0_366,refute_0_367]) ).
cnf(refute_0_369,plain,
meet(top,composition(meet(X0,X1),join(one,one))) = meet(top,composition(join(one,one),meet(X0,X1))),
inference(resolve,[$cnf( $equal(composition(meet(X0,X1),join(one,one)),composition(join(one,one),meet(X0,X1))) )],[refute_0_365,refute_0_368]) ).
cnf(refute_0_370,plain,
( meet(top,composition(meet(X0,X1),join(one,one))) != complement(join(complement(X0),complement(X1)))
| meet(top,composition(meet(X0,X1),join(one,one))) != meet(top,composition(join(one,one),meet(X0,X1)))
| meet(top,composition(join(one,one),meet(X0,X1))) = complement(join(complement(X0),complement(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,composition(meet(X0,X1),join(one,one))),complement(join(complement(X0),complement(X1)))) ),[0],$fot(meet(top,composition(join(one,one),meet(X0,X1))))]]) ).
cnf(refute_0_371,plain,
( meet(top,composition(meet(X0,X1),join(one,one))) != complement(join(complement(X0),complement(X1)))
| meet(top,composition(join(one,one),meet(X0,X1))) = complement(join(complement(X0),complement(X1))) ),
inference(resolve,[$cnf( $equal(meet(top,composition(meet(X0,X1),join(one,one))),meet(top,composition(join(one,one),meet(X0,X1)))) )],[refute_0_369,refute_0_370]) ).
cnf(refute_0_372,plain,
( complement(join(complement(X0),complement(X1))) != meet(X0,X1)
| meet(top,composition(join(one,one),meet(X0,X1))) != complement(join(complement(X0),complement(X1)))
| meet(top,composition(join(one,one),meet(X0,X1))) = meet(X0,X1) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,composition(join(one,one),meet(X0,X1))),complement(join(complement(X0),complement(X1)))) ),[1],$fot(meet(X0,X1))]]) ).
cnf(refute_0_373,plain,
( meet(top,composition(join(one,one),meet(X0,X1))) != complement(join(complement(X0),complement(X1)))
| meet(top,composition(join(one,one),meet(X0,X1))) = meet(X0,X1) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X0),complement(X1))),meet(X0,X1)) )],[refute_0_94,refute_0_372]) ).
cnf(refute_0_374,plain,
( meet(top,composition(meet(X0,X1),join(one,one))) != complement(join(complement(X0),complement(X1)))
| meet(top,composition(join(one,one),meet(X0,X1))) = meet(X0,X1) ),
inference(resolve,[$cnf( $equal(meet(top,composition(join(one,one),meet(X0,X1))),complement(join(complement(X0),complement(X1)))) )],[refute_0_371,refute_0_373]) ).
cnf(refute_0_375,plain,
meet(top,composition(join(one,one),meet(X0,X1))) = meet(X0,X1),
inference(resolve,[$cnf( $equal(meet(top,composition(meet(X0,X1),join(one,one))),complement(join(complement(X0),complement(X1)))) )],[refute_0_358,refute_0_374]) ).
cnf(refute_0_376,plain,
meet(top,composition(join(one,one),meet(zero,X_58))) = meet(zero,X_58),
inference(subst,[],[refute_0_375:[bind(X0,$fot(zero)),bind(X1,$fot(X_58))]]) ).
cnf(refute_0_377,plain,
complement(meet(top,composition(join(one,one),meet(zero,X_58)))) = complement(meet(top,composition(join(one,one),meet(zero,X_58)))),
introduced(tautology,[refl,[$fot(complement(meet(top,composition(join(one,one),meet(zero,X_58)))))]]) ).
cnf(refute_0_378,plain,
( complement(meet(top,composition(join(one,one),meet(zero,X_58)))) != complement(meet(top,composition(join(one,one),meet(zero,X_58))))
| meet(top,composition(join(one,one),meet(zero,X_58))) != meet(zero,X_58)
| complement(meet(top,composition(join(one,one),meet(zero,X_58)))) = complement(meet(zero,X_58)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(top,composition(join(one,one),meet(zero,X_58)))),complement(meet(top,composition(join(one,one),meet(zero,X_58))))) ),[1,0],$fot(meet(zero,X_58))]]) ).
cnf(refute_0_379,plain,
( meet(top,composition(join(one,one),meet(zero,X_58))) != meet(zero,X_58)
| complement(meet(top,composition(join(one,one),meet(zero,X_58)))) = complement(meet(zero,X_58)) ),
inference(resolve,[$cnf( $equal(complement(meet(top,composition(join(one,one),meet(zero,X_58)))),complement(meet(top,composition(join(one,one),meet(zero,X_58))))) )],[refute_0_377,refute_0_378]) ).
cnf(refute_0_380,plain,
complement(meet(top,composition(join(one,one),meet(zero,X_58)))) = complement(meet(zero,X_58)),
inference(resolve,[$cnf( $equal(meet(top,composition(join(one,one),meet(zero,X_58))),meet(zero,X_58)) )],[refute_0_376,refute_0_379]) ).
cnf(refute_0_381,plain,
meet(top,X_19) = join(meet(meet(top,X_19),join(zero,complement(X_19))),complement(join(complement(meet(top,X_19)),join(zero,complement(X_19))))),
inference(subst,[],[refute_0_106:[bind(X0,$fot(meet(top,X_19))),bind(X1,$fot(join(zero,complement(X_19))))]]) ).
cnf(refute_0_382,plain,
zero = meet(join(zero,complement(X_19)),complement(join(zero,complement(X_19)))),
inference(subst,[],[refute_0_114:[bind(X0,$fot(join(zero,complement(X_19))))]]) ).
cnf(refute_0_383,plain,
meet(top,X_19) = complement(join(zero,complement(X_19))),
inference(subst,[],[refute_0_233:[bind(X1,$fot(X_19))]]) ).
cnf(refute_0_384,plain,
( meet(top,X_19) != complement(join(zero,complement(X_19)))
| complement(join(zero,complement(X_19))) = meet(top,X_19) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(top,X_19))),bind(Y,$fot(complement(join(zero,complement(X_19)))))]]) ).
cnf(refute_0_385,plain,
complement(join(zero,complement(X_19))) = meet(top,X_19),
inference(resolve,[$cnf( $equal(meet(top,X_19),complement(join(zero,complement(X_19)))) )],[refute_0_383,refute_0_384]) ).
cnf(refute_0_386,plain,
( complement(join(zero,complement(X_19))) != meet(top,X_19)
| zero != meet(join(zero,complement(X_19)),complement(join(zero,complement(X_19))))
| zero = meet(join(zero,complement(X_19)),meet(top,X_19)) ),
introduced(tautology,[equality,[$cnf( $equal(zero,meet(join(zero,complement(X_19)),complement(join(zero,complement(X_19))))) ),[1,1],$fot(meet(top,X_19))]]) ).
cnf(refute_0_387,plain,
( zero != meet(join(zero,complement(X_19)),complement(join(zero,complement(X_19))))
| zero = meet(join(zero,complement(X_19)),meet(top,X_19)) ),
inference(resolve,[$cnf( $equal(complement(join(zero,complement(X_19))),meet(top,X_19)) )],[refute_0_385,refute_0_386]) ).
cnf(refute_0_388,plain,
zero = meet(join(zero,complement(X_19)),meet(top,X_19)),
inference(resolve,[$cnf( $equal(zero,meet(join(zero,complement(X_19)),complement(join(zero,complement(X_19))))) )],[refute_0_382,refute_0_387]) ).
cnf(refute_0_389,plain,
meet(join(zero,complement(X_19)),meet(top,X_19)) = meet(meet(top,X_19),join(zero,complement(X_19))),
inference(subst,[],[refute_0_273:[bind(X_14,$fot(meet(top,X_19))),bind(X_15,$fot(join(zero,complement(X_19))))]]) ).
cnf(refute_0_390,plain,
( meet(join(zero,complement(X_19)),meet(top,X_19)) != meet(meet(top,X_19),join(zero,complement(X_19)))
| zero != meet(join(zero,complement(X_19)),meet(top,X_19))
| zero = meet(meet(top,X_19),join(zero,complement(X_19))) ),
introduced(tautology,[equality,[$cnf( $equal(zero,meet(join(zero,complement(X_19)),meet(top,X_19))) ),[1],$fot(meet(meet(top,X_19),join(zero,complement(X_19))))]]) ).
cnf(refute_0_391,plain,
( zero != meet(join(zero,complement(X_19)),meet(top,X_19))
| zero = meet(meet(top,X_19),join(zero,complement(X_19))) ),
inference(resolve,[$cnf( $equal(meet(join(zero,complement(X_19)),meet(top,X_19)),meet(meet(top,X_19),join(zero,complement(X_19)))) )],[refute_0_389,refute_0_390]) ).
cnf(refute_0_392,plain,
zero = meet(meet(top,X_19),join(zero,complement(X_19))),
inference(resolve,[$cnf( $equal(zero,meet(join(zero,complement(X_19)),meet(top,X_19))) )],[refute_0_388,refute_0_391]) ).
cnf(refute_0_393,plain,
( zero != meet(meet(top,X_19),join(zero,complement(X_19)))
| meet(meet(top,X_19),join(zero,complement(X_19))) = zero ),
inference(subst,[],[refute_0_7:[bind(X,$fot(zero)),bind(Y,$fot(meet(meet(top,X_19),join(zero,complement(X_19)))))]]) ).
cnf(refute_0_394,plain,
meet(meet(top,X_19),join(zero,complement(X_19))) = zero,
inference(resolve,[$cnf( $equal(zero,meet(meet(top,X_19),join(zero,complement(X_19)))) )],[refute_0_392,refute_0_393]) ).
cnf(refute_0_395,plain,
( meet(meet(top,X_19),join(zero,complement(X_19))) != zero
| meet(top,X_19) != join(meet(meet(top,X_19),join(zero,complement(X_19))),complement(join(complement(meet(top,X_19)),join(zero,complement(X_19)))))
| meet(top,X_19) = join(zero,complement(join(complement(meet(top,X_19)),join(zero,complement(X_19))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,X_19),join(meet(meet(top,X_19),join(zero,complement(X_19))),complement(join(complement(meet(top,X_19)),join(zero,complement(X_19)))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_396,plain,
( meet(top,X_19) != join(meet(meet(top,X_19),join(zero,complement(X_19))),complement(join(complement(meet(top,X_19)),join(zero,complement(X_19)))))
| meet(top,X_19) = join(zero,complement(join(complement(meet(top,X_19)),join(zero,complement(X_19))))) ),
inference(resolve,[$cnf( $equal(meet(meet(top,X_19),join(zero,complement(X_19))),zero) )],[refute_0_394,refute_0_395]) ).
cnf(refute_0_397,plain,
meet(top,X_19) = join(zero,complement(join(complement(meet(top,X_19)),join(zero,complement(X_19))))),
inference(resolve,[$cnf( $equal(meet(top,X_19),join(meet(meet(top,X_19),join(zero,complement(X_19))),complement(join(complement(meet(top,X_19)),join(zero,complement(X_19)))))) )],[refute_0_381,refute_0_396]) ).
cnf(refute_0_398,plain,
meet(top,join(complement(meet(top,X_19)),join(zero,complement(X_19)))) = join(zero,complement(join(complement(meet(top,join(complement(meet(top,X_19)),join(zero,complement(X_19))))),join(zero,complement(join(complement(meet(top,X_19)),join(zero,complement(X_19)))))))),
inference(subst,[],[refute_0_397:[bind(X_19,$fot(join(complement(meet(top,X_19)),join(zero,complement(X_19)))))]]) ).
cnf(refute_0_399,plain,
( meet(top,X_19) != join(zero,complement(join(complement(meet(top,X_19)),join(zero,complement(X_19)))))
| join(zero,complement(join(complement(meet(top,X_19)),join(zero,complement(X_19))))) = meet(top,X_19) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(top,X_19))),bind(Y,$fot(join(zero,complement(join(complement(meet(top,X_19)),join(zero,complement(X_19)))))))]]) ).
cnf(refute_0_400,plain,
join(zero,complement(join(complement(meet(top,X_19)),join(zero,complement(X_19))))) = meet(top,X_19),
inference(resolve,[$cnf( $equal(meet(top,X_19),join(zero,complement(join(complement(meet(top,X_19)),join(zero,complement(X_19)))))) )],[refute_0_397,refute_0_399]) ).
cnf(refute_0_401,plain,
( join(zero,complement(join(complement(meet(top,X_19)),join(zero,complement(X_19))))) != meet(top,X_19)
| meet(top,join(complement(meet(top,X_19)),join(zero,complement(X_19)))) != join(zero,complement(join(complement(meet(top,join(complement(meet(top,X_19)),join(zero,complement(X_19))))),join(zero,complement(join(complement(meet(top,X_19)),join(zero,complement(X_19))))))))
| meet(top,join(complement(meet(top,X_19)),join(zero,complement(X_19)))) = join(zero,complement(join(complement(meet(top,join(complement(meet(top,X_19)),join(zero,complement(X_19))))),meet(top,X_19)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,join(complement(meet(top,X_19)),join(zero,complement(X_19)))),join(zero,complement(join(complement(meet(top,join(complement(meet(top,X_19)),join(zero,complement(X_19))))),join(zero,complement(join(complement(meet(top,X_19)),join(zero,complement(X_19))))))))) ),[1,1,0,1],$fot(meet(top,X_19))]]) ).
cnf(refute_0_402,plain,
( meet(top,join(complement(meet(top,X_19)),join(zero,complement(X_19)))) != join(zero,complement(join(complement(meet(top,join(complement(meet(top,X_19)),join(zero,complement(X_19))))),join(zero,complement(join(complement(meet(top,X_19)),join(zero,complement(X_19))))))))
| meet(top,join(complement(meet(top,X_19)),join(zero,complement(X_19)))) = join(zero,complement(join(complement(meet(top,join(complement(meet(top,X_19)),join(zero,complement(X_19))))),meet(top,X_19)))) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(complement(meet(top,X_19)),join(zero,complement(X_19))))),meet(top,X_19)) )],[refute_0_400,refute_0_401]) ).
cnf(refute_0_403,plain,
meet(top,join(complement(meet(top,X_19)),join(zero,complement(X_19)))) = join(zero,complement(join(complement(meet(top,join(complement(meet(top,X_19)),join(zero,complement(X_19))))),meet(top,X_19)))),
inference(resolve,[$cnf( $equal(meet(top,join(complement(meet(top,X_19)),join(zero,complement(X_19)))),join(zero,complement(join(complement(meet(top,join(complement(meet(top,X_19)),join(zero,complement(X_19))))),join(zero,complement(join(complement(meet(top,X_19)),join(zero,complement(X_19))))))))) )],[refute_0_398,refute_0_402]) ).
cnf(refute_0_404,plain,
meet(top,join(complement(meet(top,X_71)),join(zero,complement(X_71)))) = complement(join(zero,complement(join(complement(meet(top,X_71)),join(zero,complement(X_71)))))),
inference(subst,[],[refute_0_233:[bind(X1,$fot(join(complement(meet(top,X_71)),join(zero,complement(X_71)))))]]) ).
cnf(refute_0_405,plain,
meet(top,X_71) = join(zero,complement(join(complement(meet(top,X_71)),join(zero,complement(X_71))))),
inference(subst,[],[refute_0_397:[bind(X_19,$fot(X_71))]]) ).
cnf(refute_0_406,plain,
( meet(top,X_71) != join(zero,complement(join(complement(meet(top,X_71)),join(zero,complement(X_71)))))
| join(zero,complement(join(complement(meet(top,X_71)),join(zero,complement(X_71))))) = meet(top,X_71) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(top,X_71))),bind(Y,$fot(join(zero,complement(join(complement(meet(top,X_71)),join(zero,complement(X_71)))))))]]) ).
cnf(refute_0_407,plain,
join(zero,complement(join(complement(meet(top,X_71)),join(zero,complement(X_71))))) = meet(top,X_71),
inference(resolve,[$cnf( $equal(meet(top,X_71),join(zero,complement(join(complement(meet(top,X_71)),join(zero,complement(X_71)))))) )],[refute_0_405,refute_0_406]) ).
cnf(refute_0_408,plain,
( join(zero,complement(join(complement(meet(top,X_71)),join(zero,complement(X_71))))) != meet(top,X_71)
| meet(top,join(complement(meet(top,X_71)),join(zero,complement(X_71)))) != complement(join(zero,complement(join(complement(meet(top,X_71)),join(zero,complement(X_71))))))
| meet(top,join(complement(meet(top,X_71)),join(zero,complement(X_71)))) = complement(meet(top,X_71)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,join(complement(meet(top,X_71)),join(zero,complement(X_71)))),complement(join(zero,complement(join(complement(meet(top,X_71)),join(zero,complement(X_71))))))) ),[1,0],$fot(meet(top,X_71))]]) ).
cnf(refute_0_409,plain,
( meet(top,join(complement(meet(top,X_71)),join(zero,complement(X_71)))) != complement(join(zero,complement(join(complement(meet(top,X_71)),join(zero,complement(X_71))))))
| meet(top,join(complement(meet(top,X_71)),join(zero,complement(X_71)))) = complement(meet(top,X_71)) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(complement(meet(top,X_71)),join(zero,complement(X_71))))),meet(top,X_71)) )],[refute_0_407,refute_0_408]) ).
cnf(refute_0_410,plain,
meet(top,join(complement(meet(top,X_71)),join(zero,complement(X_71)))) = complement(meet(top,X_71)),
inference(resolve,[$cnf( $equal(meet(top,join(complement(meet(top,X_71)),join(zero,complement(X_71)))),complement(join(zero,complement(join(complement(meet(top,X_71)),join(zero,complement(X_71))))))) )],[refute_0_404,refute_0_409]) ).
cnf(refute_0_411,plain,
meet(top,join(complement(meet(top,X_19)),join(zero,complement(X_19)))) = complement(meet(top,X_19)),
inference(subst,[],[refute_0_410:[bind(X_71,$fot(X_19))]]) ).
cnf(refute_0_412,plain,
( meet(top,join(complement(meet(top,X_19)),join(zero,complement(X_19)))) != complement(meet(top,X_19))
| meet(top,join(complement(meet(top,X_19)),join(zero,complement(X_19)))) != join(zero,complement(join(complement(meet(top,join(complement(meet(top,X_19)),join(zero,complement(X_19))))),meet(top,X_19))))
| complement(meet(top,X_19)) = join(zero,complement(join(complement(meet(top,join(complement(meet(top,X_19)),join(zero,complement(X_19))))),meet(top,X_19)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,join(complement(meet(top,X_19)),join(zero,complement(X_19)))),join(zero,complement(join(complement(meet(top,join(complement(meet(top,X_19)),join(zero,complement(X_19))))),meet(top,X_19))))) ),[0],$fot(complement(meet(top,X_19)))]]) ).
cnf(refute_0_413,plain,
( meet(top,join(complement(meet(top,X_19)),join(zero,complement(X_19)))) != join(zero,complement(join(complement(meet(top,join(complement(meet(top,X_19)),join(zero,complement(X_19))))),meet(top,X_19))))
| complement(meet(top,X_19)) = join(zero,complement(join(complement(meet(top,join(complement(meet(top,X_19)),join(zero,complement(X_19))))),meet(top,X_19)))) ),
inference(resolve,[$cnf( $equal(meet(top,join(complement(meet(top,X_19)),join(zero,complement(X_19)))),complement(meet(top,X_19))) )],[refute_0_411,refute_0_412]) ).
cnf(refute_0_414,plain,
join(zero,complement(X1)) = join(zero,meet(join(zero,complement(X1)),complement(complement(join(zero,complement(X1)))))),
inference(subst,[],[refute_0_152:[bind(X_40,$fot(join(zero,complement(X1))))]]) ).
cnf(refute_0_415,plain,
( complement(join(zero,complement(X1))) != meet(top,X1)
| join(zero,complement(X1)) != join(zero,meet(join(zero,complement(X1)),complement(complement(join(zero,complement(X1))))))
| join(zero,complement(X1)) = join(zero,meet(join(zero,complement(X1)),complement(meet(top,X1)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,complement(X1)),join(zero,meet(join(zero,complement(X1)),complement(complement(join(zero,complement(X1))))))) ),[1,1,1,0],$fot(meet(top,X1))]]) ).
cnf(refute_0_416,plain,
( join(zero,complement(X1)) != join(zero,meet(join(zero,complement(X1)),complement(complement(join(zero,complement(X1))))))
| join(zero,complement(X1)) = join(zero,meet(join(zero,complement(X1)),complement(meet(top,X1)))) ),
inference(resolve,[$cnf( $equal(complement(join(zero,complement(X1))),meet(top,X1)) )],[refute_0_235,refute_0_415]) ).
cnf(refute_0_417,plain,
join(zero,complement(X1)) = join(zero,meet(join(zero,complement(X1)),complement(meet(top,X1)))),
inference(resolve,[$cnf( $equal(join(zero,complement(X1)),join(zero,meet(join(zero,complement(X1)),complement(complement(join(zero,complement(X1))))))) )],[refute_0_414,refute_0_416]) ).
cnf(refute_0_418,plain,
meet(join(zero,complement(X1)),complement(meet(top,X1))) = meet(complement(meet(top,X1)),join(zero,complement(X1))),
inference(subst,[],[refute_0_273:[bind(X_14,$fot(complement(meet(top,X1)))),bind(X_15,$fot(join(zero,complement(X1))))]]) ).
cnf(refute_0_419,plain,
join(zero,meet(join(zero,complement(X1)),complement(meet(top,X1)))) = join(zero,meet(join(zero,complement(X1)),complement(meet(top,X1)))),
introduced(tautology,[refl,[$fot(join(zero,meet(join(zero,complement(X1)),complement(meet(top,X1)))))]]) ).
cnf(refute_0_420,plain,
( join(zero,meet(join(zero,complement(X1)),complement(meet(top,X1)))) != join(zero,meet(join(zero,complement(X1)),complement(meet(top,X1))))
| meet(join(zero,complement(X1)),complement(meet(top,X1))) != meet(complement(meet(top,X1)),join(zero,complement(X1)))
| join(zero,meet(join(zero,complement(X1)),complement(meet(top,X1)))) = join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(join(zero,complement(X1)),complement(meet(top,X1)))),join(zero,meet(join(zero,complement(X1)),complement(meet(top,X1))))) ),[1,1],$fot(meet(complement(meet(top,X1)),join(zero,complement(X1))))]]) ).
cnf(refute_0_421,plain,
( meet(join(zero,complement(X1)),complement(meet(top,X1))) != meet(complement(meet(top,X1)),join(zero,complement(X1)))
| join(zero,meet(join(zero,complement(X1)),complement(meet(top,X1)))) = join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1)))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(join(zero,complement(X1)),complement(meet(top,X1)))),join(zero,meet(join(zero,complement(X1)),complement(meet(top,X1))))) )],[refute_0_419,refute_0_420]) ).
cnf(refute_0_422,plain,
join(zero,meet(join(zero,complement(X1)),complement(meet(top,X1)))) = join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1)))),
inference(resolve,[$cnf( $equal(meet(join(zero,complement(X1)),complement(meet(top,X1))),meet(complement(meet(top,X1)),join(zero,complement(X1)))) )],[refute_0_418,refute_0_421]) ).
cnf(refute_0_423,plain,
( join(zero,complement(X1)) != join(zero,meet(join(zero,complement(X1)),complement(meet(top,X1))))
| join(zero,meet(join(zero,complement(X1)),complement(meet(top,X1)))) != join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1))))
| join(zero,complement(X1)) = join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(zero,complement(X1)),join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1))))) ),[0],$fot(join(zero,meet(join(zero,complement(X1)),complement(meet(top,X1)))))]]) ).
cnf(refute_0_424,plain,
( join(zero,complement(X1)) != join(zero,meet(join(zero,complement(X1)),complement(meet(top,X1))))
| join(zero,complement(X1)) = join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1)))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(join(zero,complement(X1)),complement(meet(top,X1)))),join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1))))) )],[refute_0_422,refute_0_423]) ).
cnf(refute_0_425,plain,
join(zero,complement(X1)) = join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1)))),
inference(resolve,[$cnf( $equal(join(zero,complement(X1)),join(zero,meet(join(zero,complement(X1)),complement(meet(top,X1))))) )],[refute_0_417,refute_0_424]) ).
cnf(refute_0_426,plain,
( join(zero,complement(X1)) != join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1))))
| join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1)))) = join(zero,complement(X1)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(zero,complement(X1)))),bind(Y,$fot(join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1))))))]]) ).
cnf(refute_0_427,plain,
join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1)))) = join(zero,complement(X1)),
inference(resolve,[$cnf( $equal(join(zero,complement(X1)),join(zero,meet(complement(meet(top,X1)),join(zero,complement(X1))))) )],[refute_0_425,refute_0_426]) ).
cnf(refute_0_428,plain,
join(zero,meet(complement(meet(top,X_19)),join(zero,complement(X_19)))) = join(zero,complement(X_19)),
inference(subst,[],[refute_0_427:[bind(X1,$fot(X_19))]]) ).
cnf(refute_0_429,plain,
meet(join(zero,complement(X_19)),complement(meet(top,X_19))) = meet(complement(meet(top,X_19)),join(zero,complement(X_19))),
inference(subst,[],[refute_0_273:[bind(X_14,$fot(complement(meet(top,X_19)))),bind(X_15,$fot(join(zero,complement(X_19))))]]) ).
cnf(refute_0_430,plain,
meet(join(zero,complement(X_19)),meet(top,join(complement(meet(top,X_19)),join(zero,complement(X_19))))) = meet(join(zero,complement(X_19)),meet(top,join(complement(meet(top,X_19)),join(zero,complement(X_19))))),
introduced(tautology,[refl,[$fot(meet(join(zero,complement(X_19)),meet(top,join(complement(meet(top,X_19)),join(zero,complement(X_19))))))]]) ).
cnf(refute_0_431,plain,
( meet(join(zero,complement(X_19)),meet(top,join(complement(meet(top,X_19)),join(zero,complement(X_19))))) != meet(join(zero,complement(X_19)),meet(top,join(complement(meet(top,X_19)),join(zero,complement(X_19)))))
| meet(top,join(complement(meet(top,X_19)),join(zero,complement(X_19)))) != complement(meet(top,X_19))
| meet(join(zero,complement(X_19)),meet(top,join(complement(meet(top,X_19)),join(zero,complement(X_19))))) = meet(join(zero,complement(X_19)),complement(meet(top,X_19))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(zero,complement(X_19)),meet(top,join(complement(meet(top,X_19)),join(zero,complement(X_19))))),meet(join(zero,complement(X_19)),meet(top,join(complement(meet(top,X_19)),join(zero,complement(X_19)))))) ),[1,1],$fot(complement(meet(top,X_19)))]]) ).
cnf(refute_0_432,plain,
( meet(top,join(complement(meet(top,X_19)),join(zero,complement(X_19)))) != complement(meet(top,X_19))
| meet(join(zero,complement(X_19)),meet(top,join(complement(meet(top,X_19)),join(zero,complement(X_19))))) = meet(join(zero,complement(X_19)),complement(meet(top,X_19))) ),
inference(resolve,[$cnf( $equal(meet(join(zero,complement(X_19)),meet(top,join(complement(meet(top,X_19)),join(zero,complement(X_19))))),meet(join(zero,complement(X_19)),meet(top,join(complement(meet(top,X_19)),join(zero,complement(X_19)))))) )],[refute_0_430,refute_0_431]) ).
cnf(refute_0_433,plain,
meet(join(zero,complement(X_19)),meet(top,join(complement(meet(top,X_19)),join(zero,complement(X_19))))) = meet(join(zero,complement(X_19)),complement(meet(top,X_19))),
inference(resolve,[$cnf( $equal(meet(top,join(complement(meet(top,X_19)),join(zero,complement(X_19)))),complement(meet(top,X_19))) )],[refute_0_411,refute_0_432]) ).
cnf(refute_0_434,plain,
( meet(join(zero,complement(X_19)),complement(meet(top,X_19))) != meet(complement(meet(top,X_19)),join(zero,complement(X_19)))
| meet(join(zero,complement(X_19)),meet(top,join(complement(meet(top,X_19)),join(zero,complement(X_19))))) != meet(join(zero,complement(X_19)),complement(meet(top,X_19)))
| meet(join(zero,complement(X_19)),meet(top,join(complement(meet(top,X_19)),join(zero,complement(X_19))))) = meet(complement(meet(top,X_19)),join(zero,complement(X_19))) ),
inference(subst,[],[refute_0_100:[bind(X,$fot(meet(join(zero,complement(X_19)),meet(top,join(complement(meet(top,X_19)),join(zero,complement(X_19))))))),bind(Y,$fot(meet(join(zero,complement(X_19)),complement(meet(top,X_19))))),bind(Z,$fot(meet(complement(meet(top,X_19)),join(zero,complement(X_19)))))]]) ).
cnf(refute_0_435,plain,
( meet(join(zero,complement(X_19)),complement(meet(top,X_19))) != meet(complement(meet(top,X_19)),join(zero,complement(X_19)))
| meet(join(zero,complement(X_19)),meet(top,join(complement(meet(top,X_19)),join(zero,complement(X_19))))) = meet(complement(meet(top,X_19)),join(zero,complement(X_19))) ),
inference(resolve,[$cnf( $equal(meet(join(zero,complement(X_19)),meet(top,join(complement(meet(top,X_19)),join(zero,complement(X_19))))),meet(join(zero,complement(X_19)),complement(meet(top,X_19)))) )],[refute_0_433,refute_0_434]) ).
cnf(refute_0_436,plain,
meet(join(zero,complement(X_19)),meet(top,join(complement(meet(top,X_19)),join(zero,complement(X_19))))) = meet(complement(meet(top,X_19)),join(zero,complement(X_19))),
inference(resolve,[$cnf( $equal(meet(join(zero,complement(X_19)),complement(meet(top,X_19))),meet(complement(meet(top,X_19)),join(zero,complement(X_19)))) )],[refute_0_429,refute_0_435]) ).
cnf(refute_0_437,plain,
meet(meet(top,join(complement(meet(top,X_19)),join(zero,complement(X_19)))),join(zero,complement(X_19))) = meet(join(zero,complement(X_19)),meet(top,join(complement(meet(top,X_19)),join(zero,complement(X_19))))),
inference(subst,[],[refute_0_273:[bind(X_14,$fot(join(zero,complement(X_19)))),bind(X_15,$fot(meet(top,join(complement(meet(top,X_19)),join(zero,complement(X_19))))))]]) ).
cnf(refute_0_438,plain,
meet(X0,join(zero,complement(X_19))) = complement(join(complement(X0),complement(join(zero,complement(X_19))))),
inference(subst,[],[refute_0_92:[bind(X1,$fot(join(zero,complement(X_19))))]]) ).
cnf(refute_0_439,plain,
( complement(join(zero,complement(X_19))) != meet(top,X_19)
| meet(X0,join(zero,complement(X_19))) != complement(join(complement(X0),complement(join(zero,complement(X_19)))))
| meet(X0,join(zero,complement(X_19))) = complement(join(complement(X0),meet(top,X_19))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X0,join(zero,complement(X_19))),complement(join(complement(X0),complement(join(zero,complement(X_19)))))) ),[1,0,1],$fot(meet(top,X_19))]]) ).
cnf(refute_0_440,plain,
( meet(X0,join(zero,complement(X_19))) != complement(join(complement(X0),complement(join(zero,complement(X_19)))))
| meet(X0,join(zero,complement(X_19))) = complement(join(complement(X0),meet(top,X_19))) ),
inference(resolve,[$cnf( $equal(complement(join(zero,complement(X_19))),meet(top,X_19)) )],[refute_0_385,refute_0_439]) ).
cnf(refute_0_441,plain,
meet(X0,join(zero,complement(X_19))) = complement(join(complement(X0),meet(top,X_19))),
inference(resolve,[$cnf( $equal(meet(X0,join(zero,complement(X_19))),complement(join(complement(X0),complement(join(zero,complement(X_19)))))) )],[refute_0_438,refute_0_440]) ).
cnf(refute_0_442,plain,
( meet(X0,join(zero,complement(X_19))) != complement(join(complement(X0),meet(top,X_19)))
| complement(join(complement(X0),meet(top,X_19))) = meet(X0,join(zero,complement(X_19))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(X0,join(zero,complement(X_19))))),bind(Y,$fot(complement(join(complement(X0),meet(top,X_19)))))]]) ).
cnf(refute_0_443,plain,
complement(join(complement(X0),meet(top,X_19))) = meet(X0,join(zero,complement(X_19))),
inference(resolve,[$cnf( $equal(meet(X0,join(zero,complement(X_19))),complement(join(complement(X0),meet(top,X_19)))) )],[refute_0_441,refute_0_442]) ).
cnf(refute_0_444,plain,
complement(join(complement(meet(top,join(complement(meet(top,X_19)),join(zero,complement(X_19))))),meet(top,X_19))) = meet(meet(top,join(complement(meet(top,X_19)),join(zero,complement(X_19)))),join(zero,complement(X_19))),
inference(subst,[],[refute_0_443:[bind(X0,$fot(meet(top,join(complement(meet(top,X_19)),join(zero,complement(X_19))))))]]) ).
cnf(refute_0_445,plain,
( complement(join(complement(meet(top,join(complement(meet(top,X_19)),join(zero,complement(X_19))))),meet(top,X_19))) != meet(meet(top,join(complement(meet(top,X_19)),join(zero,complement(X_19)))),join(zero,complement(X_19)))
| meet(meet(top,join(complement(meet(top,X_19)),join(zero,complement(X_19)))),join(zero,complement(X_19))) != meet(join(zero,complement(X_19)),meet(top,join(complement(meet(top,X_19)),join(zero,complement(X_19)))))
| complement(join(complement(meet(top,join(complement(meet(top,X_19)),join(zero,complement(X_19))))),meet(top,X_19))) = meet(join(zero,complement(X_19)),meet(top,join(complement(meet(top,X_19)),join(zero,complement(X_19))))) ),
inference(subst,[],[refute_0_100:[bind(X,$fot(complement(join(complement(meet(top,join(complement(meet(top,X_19)),join(zero,complement(X_19))))),meet(top,X_19))))),bind(Y,$fot(meet(meet(top,join(complement(meet(top,X_19)),join(zero,complement(X_19)))),join(zero,complement(X_19))))),bind(Z,$fot(meet(join(zero,complement(X_19)),meet(top,join(complement(meet(top,X_19)),join(zero,complement(X_19)))))))]]) ).
cnf(refute_0_446,plain,
( meet(meet(top,join(complement(meet(top,X_19)),join(zero,complement(X_19)))),join(zero,complement(X_19))) != meet(join(zero,complement(X_19)),meet(top,join(complement(meet(top,X_19)),join(zero,complement(X_19)))))
| complement(join(complement(meet(top,join(complement(meet(top,X_19)),join(zero,complement(X_19))))),meet(top,X_19))) = meet(join(zero,complement(X_19)),meet(top,join(complement(meet(top,X_19)),join(zero,complement(X_19))))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(meet(top,join(complement(meet(top,X_19)),join(zero,complement(X_19))))),meet(top,X_19))),meet(meet(top,join(complement(meet(top,X_19)),join(zero,complement(X_19)))),join(zero,complement(X_19)))) )],[refute_0_444,refute_0_445]) ).
cnf(refute_0_447,plain,
complement(join(complement(meet(top,join(complement(meet(top,X_19)),join(zero,complement(X_19))))),meet(top,X_19))) = meet(join(zero,complement(X_19)),meet(top,join(complement(meet(top,X_19)),join(zero,complement(X_19))))),
inference(resolve,[$cnf( $equal(meet(meet(top,join(complement(meet(top,X_19)),join(zero,complement(X_19)))),join(zero,complement(X_19))),meet(join(zero,complement(X_19)),meet(top,join(complement(meet(top,X_19)),join(zero,complement(X_19)))))) )],[refute_0_437,refute_0_446]) ).
cnf(refute_0_448,plain,
( complement(join(complement(meet(top,join(complement(meet(top,X_19)),join(zero,complement(X_19))))),meet(top,X_19))) != meet(join(zero,complement(X_19)),meet(top,join(complement(meet(top,X_19)),join(zero,complement(X_19)))))
| meet(join(zero,complement(X_19)),meet(top,join(complement(meet(top,X_19)),join(zero,complement(X_19))))) != meet(complement(meet(top,X_19)),join(zero,complement(X_19)))
| complement(join(complement(meet(top,join(complement(meet(top,X_19)),join(zero,complement(X_19))))),meet(top,X_19))) = meet(complement(meet(top,X_19)),join(zero,complement(X_19))) ),
inference(subst,[],[refute_0_100:[bind(X,$fot(complement(join(complement(meet(top,join(complement(meet(top,X_19)),join(zero,complement(X_19))))),meet(top,X_19))))),bind(Y,$fot(meet(join(zero,complement(X_19)),meet(top,join(complement(meet(top,X_19)),join(zero,complement(X_19))))))),bind(Z,$fot(meet(complement(meet(top,X_19)),join(zero,complement(X_19)))))]]) ).
cnf(refute_0_449,plain,
( meet(join(zero,complement(X_19)),meet(top,join(complement(meet(top,X_19)),join(zero,complement(X_19))))) != meet(complement(meet(top,X_19)),join(zero,complement(X_19)))
| complement(join(complement(meet(top,join(complement(meet(top,X_19)),join(zero,complement(X_19))))),meet(top,X_19))) = meet(complement(meet(top,X_19)),join(zero,complement(X_19))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(meet(top,join(complement(meet(top,X_19)),join(zero,complement(X_19))))),meet(top,X_19))),meet(join(zero,complement(X_19)),meet(top,join(complement(meet(top,X_19)),join(zero,complement(X_19)))))) )],[refute_0_447,refute_0_448]) ).
cnf(refute_0_450,plain,
complement(join(complement(meet(top,join(complement(meet(top,X_19)),join(zero,complement(X_19))))),meet(top,X_19))) = meet(complement(meet(top,X_19)),join(zero,complement(X_19))),
inference(resolve,[$cnf( $equal(meet(join(zero,complement(X_19)),meet(top,join(complement(meet(top,X_19)),join(zero,complement(X_19))))),meet(complement(meet(top,X_19)),join(zero,complement(X_19)))) )],[refute_0_436,refute_0_449]) ).
cnf(refute_0_451,plain,
join(zero,complement(join(complement(meet(top,join(complement(meet(top,X_19)),join(zero,complement(X_19))))),meet(top,X_19)))) = join(zero,complement(join(complement(meet(top,join(complement(meet(top,X_19)),join(zero,complement(X_19))))),meet(top,X_19)))),
introduced(tautology,[refl,[$fot(join(zero,complement(join(complement(meet(top,join(complement(meet(top,X_19)),join(zero,complement(X_19))))),meet(top,X_19)))))]]) ).
cnf(refute_0_452,plain,
( complement(join(complement(meet(top,join(complement(meet(top,X_19)),join(zero,complement(X_19))))),meet(top,X_19))) != meet(complement(meet(top,X_19)),join(zero,complement(X_19)))
| join(zero,complement(join(complement(meet(top,join(complement(meet(top,X_19)),join(zero,complement(X_19))))),meet(top,X_19)))) != join(zero,complement(join(complement(meet(top,join(complement(meet(top,X_19)),join(zero,complement(X_19))))),meet(top,X_19))))
| join(zero,complement(join(complement(meet(top,join(complement(meet(top,X_19)),join(zero,complement(X_19))))),meet(top,X_19)))) = join(zero,meet(complement(meet(top,X_19)),join(zero,complement(X_19)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,complement(join(complement(meet(top,join(complement(meet(top,X_19)),join(zero,complement(X_19))))),meet(top,X_19)))),join(zero,complement(join(complement(meet(top,join(complement(meet(top,X_19)),join(zero,complement(X_19))))),meet(top,X_19))))) ),[1,1],$fot(meet(complement(meet(top,X_19)),join(zero,complement(X_19))))]]) ).
cnf(refute_0_453,plain,
( complement(join(complement(meet(top,join(complement(meet(top,X_19)),join(zero,complement(X_19))))),meet(top,X_19))) != meet(complement(meet(top,X_19)),join(zero,complement(X_19)))
| join(zero,complement(join(complement(meet(top,join(complement(meet(top,X_19)),join(zero,complement(X_19))))),meet(top,X_19)))) = join(zero,meet(complement(meet(top,X_19)),join(zero,complement(X_19)))) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(complement(meet(top,join(complement(meet(top,X_19)),join(zero,complement(X_19))))),meet(top,X_19)))),join(zero,complement(join(complement(meet(top,join(complement(meet(top,X_19)),join(zero,complement(X_19))))),meet(top,X_19))))) )],[refute_0_451,refute_0_452]) ).
cnf(refute_0_454,plain,
join(zero,complement(join(complement(meet(top,join(complement(meet(top,X_19)),join(zero,complement(X_19))))),meet(top,X_19)))) = join(zero,meet(complement(meet(top,X_19)),join(zero,complement(X_19)))),
inference(resolve,[$cnf( $equal(complement(join(complement(meet(top,join(complement(meet(top,X_19)),join(zero,complement(X_19))))),meet(top,X_19))),meet(complement(meet(top,X_19)),join(zero,complement(X_19)))) )],[refute_0_450,refute_0_453]) ).
cnf(refute_0_455,plain,
( join(zero,complement(join(complement(meet(top,join(complement(meet(top,X_19)),join(zero,complement(X_19))))),meet(top,X_19)))) != join(zero,meet(complement(meet(top,X_19)),join(zero,complement(X_19))))
| join(zero,meet(complement(meet(top,X_19)),join(zero,complement(X_19)))) != join(zero,complement(X_19))
| join(zero,complement(join(complement(meet(top,join(complement(meet(top,X_19)),join(zero,complement(X_19))))),meet(top,X_19)))) = join(zero,complement(X_19)) ),
inference(subst,[],[refute_0_100:[bind(X,$fot(join(zero,complement(join(complement(meet(top,join(complement(meet(top,X_19)),join(zero,complement(X_19))))),meet(top,X_19)))))),bind(Y,$fot(join(zero,meet(complement(meet(top,X_19)),join(zero,complement(X_19)))))),bind(Z,$fot(join(zero,complement(X_19))))]]) ).
cnf(refute_0_456,plain,
( join(zero,meet(complement(meet(top,X_19)),join(zero,complement(X_19)))) != join(zero,complement(X_19))
| join(zero,complement(join(complement(meet(top,join(complement(meet(top,X_19)),join(zero,complement(X_19))))),meet(top,X_19)))) = join(zero,complement(X_19)) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(complement(meet(top,join(complement(meet(top,X_19)),join(zero,complement(X_19))))),meet(top,X_19)))),join(zero,meet(complement(meet(top,X_19)),join(zero,complement(X_19))))) )],[refute_0_454,refute_0_455]) ).
cnf(refute_0_457,plain,
join(zero,complement(join(complement(meet(top,join(complement(meet(top,X_19)),join(zero,complement(X_19))))),meet(top,X_19)))) = join(zero,complement(X_19)),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(meet(top,X_19)),join(zero,complement(X_19)))),join(zero,complement(X_19))) )],[refute_0_428,refute_0_456]) ).
cnf(refute_0_458,plain,
( complement(meet(top,X_19)) != join(zero,complement(join(complement(meet(top,join(complement(meet(top,X_19)),join(zero,complement(X_19))))),meet(top,X_19))))
| join(zero,complement(join(complement(meet(top,join(complement(meet(top,X_19)),join(zero,complement(X_19))))),meet(top,X_19)))) != join(zero,complement(X_19))
| complement(meet(top,X_19)) = join(zero,complement(X_19)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(meet(top,X_19)),join(zero,complement(X_19))) ),[0],$fot(join(zero,complement(join(complement(meet(top,join(complement(meet(top,X_19)),join(zero,complement(X_19))))),meet(top,X_19)))))]]) ).
cnf(refute_0_459,plain,
( complement(meet(top,X_19)) != join(zero,complement(join(complement(meet(top,join(complement(meet(top,X_19)),join(zero,complement(X_19))))),meet(top,X_19))))
| complement(meet(top,X_19)) = join(zero,complement(X_19)) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(complement(meet(top,join(complement(meet(top,X_19)),join(zero,complement(X_19))))),meet(top,X_19)))),join(zero,complement(X_19))) )],[refute_0_457,refute_0_458]) ).
cnf(refute_0_460,plain,
( meet(top,join(complement(meet(top,X_19)),join(zero,complement(X_19)))) != join(zero,complement(join(complement(meet(top,join(complement(meet(top,X_19)),join(zero,complement(X_19))))),meet(top,X_19))))
| complement(meet(top,X_19)) = join(zero,complement(X_19)) ),
inference(resolve,[$cnf( $equal(complement(meet(top,X_19)),join(zero,complement(join(complement(meet(top,join(complement(meet(top,X_19)),join(zero,complement(X_19))))),meet(top,X_19))))) )],[refute_0_413,refute_0_459]) ).
cnf(refute_0_461,plain,
complement(meet(top,X_19)) = join(zero,complement(X_19)),
inference(resolve,[$cnf( $equal(meet(top,join(complement(meet(top,X_19)),join(zero,complement(X_19)))),join(zero,complement(join(complement(meet(top,join(complement(meet(top,X_19)),join(zero,complement(X_19))))),meet(top,X_19))))) )],[refute_0_403,refute_0_460]) ).
cnf(refute_0_462,plain,
( complement(meet(top,X_19)) != join(zero,complement(X_19))
| join(zero,complement(X_19)) = complement(meet(top,X_19)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(complement(meet(top,X_19)))),bind(Y,$fot(join(zero,complement(X_19))))]]) ).
cnf(refute_0_463,plain,
join(zero,complement(X_19)) = complement(meet(top,X_19)),
inference(resolve,[$cnf( $equal(complement(meet(top,X_19)),join(zero,complement(X_19))) )],[refute_0_461,refute_0_462]) ).
cnf(refute_0_464,plain,
join(zero,complement(composition(join(one,one),meet(zero,X_58)))) = complement(meet(top,composition(join(one,one),meet(zero,X_58)))),
inference(subst,[],[refute_0_463:[bind(X_19,$fot(composition(join(one,one),meet(zero,X_58))))]]) ).
cnf(refute_0_465,plain,
( complement(meet(top,composition(join(one,one),meet(zero,X_58)))) != complement(meet(zero,X_58))
| join(zero,complement(composition(join(one,one),meet(zero,X_58)))) != complement(meet(top,composition(join(one,one),meet(zero,X_58))))
| join(zero,complement(composition(join(one,one),meet(zero,X_58)))) = complement(meet(zero,X_58)) ),
inference(subst,[],[refute_0_100:[bind(X,$fot(join(zero,complement(composition(join(one,one),meet(zero,X_58)))))),bind(Y,$fot(complement(meet(top,composition(join(one,one),meet(zero,X_58)))))),bind(Z,$fot(complement(meet(zero,X_58))))]]) ).
cnf(refute_0_466,plain,
( complement(meet(top,composition(join(one,one),meet(zero,X_58)))) != complement(meet(zero,X_58))
| join(zero,complement(composition(join(one,one),meet(zero,X_58)))) = complement(meet(zero,X_58)) ),
inference(resolve,[$cnf( $equal(join(zero,complement(composition(join(one,one),meet(zero,X_58)))),complement(meet(top,composition(join(one,one),meet(zero,X_58))))) )],[refute_0_464,refute_0_465]) ).
cnf(refute_0_467,plain,
join(zero,complement(composition(join(one,one),meet(zero,X_58)))) = complement(meet(zero,X_58)),
inference(resolve,[$cnf( $equal(complement(meet(top,composition(join(one,one),meet(zero,X_58)))),complement(meet(zero,X_58))) )],[refute_0_380,refute_0_466]) ).
cnf(refute_0_468,plain,
meet(X1,X1) = complement(join(complement(X1),complement(X1))),
inference(subst,[],[refute_0_92:[bind(X0,$fot(X1))]]) ).
cnf(refute_0_469,plain,
composition(join(one,one),complement(X1)) = join(complement(X1),complement(X1)),
inference(subst,[],[refute_0_295:[bind(X_35,$fot(complement(X1)))]]) ).
cnf(refute_0_470,plain,
( composition(join(one,one),complement(X1)) != join(complement(X1),complement(X1))
| join(complement(X1),complement(X1)) = composition(join(one,one),complement(X1)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(composition(join(one,one),complement(X1)))),bind(Y,$fot(join(complement(X1),complement(X1))))]]) ).
cnf(refute_0_471,plain,
join(complement(X1),complement(X1)) = composition(join(one,one),complement(X1)),
inference(resolve,[$cnf( $equal(composition(join(one,one),complement(X1)),join(complement(X1),complement(X1))) )],[refute_0_469,refute_0_470]) ).
cnf(refute_0_472,plain,
( join(complement(X1),complement(X1)) != composition(join(one,one),complement(X1))
| meet(X1,X1) != complement(join(complement(X1),complement(X1)))
| meet(X1,X1) = complement(composition(join(one,one),complement(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X1,X1),complement(join(complement(X1),complement(X1)))) ),[1,0],$fot(composition(join(one,one),complement(X1)))]]) ).
cnf(refute_0_473,plain,
( meet(X1,X1) != complement(join(complement(X1),complement(X1)))
| meet(X1,X1) = complement(composition(join(one,one),complement(X1))) ),
inference(resolve,[$cnf( $equal(join(complement(X1),complement(X1)),composition(join(one,one),complement(X1))) )],[refute_0_471,refute_0_472]) ).
cnf(refute_0_474,plain,
meet(X1,X1) = complement(composition(join(one,one),complement(X1))),
inference(resolve,[$cnf( $equal(meet(X1,X1),complement(join(complement(X1),complement(X1)))) )],[refute_0_468,refute_0_473]) ).
cnf(refute_0_475,plain,
meet(join(top,complement(X_58)),join(top,complement(X_58))) = complement(composition(join(one,one),complement(join(top,complement(X_58))))),
inference(subst,[],[refute_0_474:[bind(X1,$fot(join(top,complement(X_58))))]]) ).
cnf(refute_0_476,plain,
( complement(join(top,complement(X_58))) != meet(zero,X_58)
| meet(join(top,complement(X_58)),join(top,complement(X_58))) != complement(composition(join(one,one),complement(join(top,complement(X_58)))))
| meet(join(top,complement(X_58)),join(top,complement(X_58))) = complement(composition(join(one,one),meet(zero,X_58))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(top,complement(X_58)),join(top,complement(X_58))),complement(composition(join(one,one),complement(join(top,complement(X_58)))))) ),[1,0,1],$fot(meet(zero,X_58))]]) ).
cnf(refute_0_477,plain,
( meet(join(top,complement(X_58)),join(top,complement(X_58))) != complement(composition(join(one,one),complement(join(top,complement(X_58)))))
| meet(join(top,complement(X_58)),join(top,complement(X_58))) = complement(composition(join(one,one),meet(zero,X_58))) ),
inference(resolve,[$cnf( $equal(complement(join(top,complement(X_58))),meet(zero,X_58)) )],[refute_0_268,refute_0_476]) ).
cnf(refute_0_478,plain,
meet(join(top,complement(X_58)),join(top,complement(X_58))) = complement(composition(join(one,one),meet(zero,X_58))),
inference(resolve,[$cnf( $equal(meet(join(top,complement(X_58)),join(top,complement(X_58))),complement(composition(join(one,one),complement(join(top,complement(X_58)))))) )],[refute_0_475,refute_0_477]) ).
cnf(refute_0_479,plain,
meet(join(top,complement(X_58)),X1) = complement(join(complement(join(top,complement(X_58))),complement(X1))),
inference(subst,[],[refute_0_92:[bind(X0,$fot(join(top,complement(X_58))))]]) ).
cnf(refute_0_480,plain,
( complement(join(top,complement(X_58))) != meet(zero,X_58)
| meet(join(top,complement(X_58)),X1) != complement(join(complement(join(top,complement(X_58))),complement(X1)))
| meet(join(top,complement(X_58)),X1) = complement(join(meet(zero,X_58),complement(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(top,complement(X_58)),X1),complement(join(complement(join(top,complement(X_58))),complement(X1)))) ),[1,0,0],$fot(meet(zero,X_58))]]) ).
cnf(refute_0_481,plain,
( meet(join(top,complement(X_58)),X1) != complement(join(complement(join(top,complement(X_58))),complement(X1)))
| meet(join(top,complement(X_58)),X1) = complement(join(meet(zero,X_58),complement(X1))) ),
inference(resolve,[$cnf( $equal(complement(join(top,complement(X_58))),meet(zero,X_58)) )],[refute_0_268,refute_0_480]) ).
cnf(refute_0_482,plain,
meet(join(top,complement(X_58)),X1) = complement(join(meet(zero,X_58),complement(X1))),
inference(resolve,[$cnf( $equal(meet(join(top,complement(X_58)),X1),complement(join(complement(join(top,complement(X_58))),complement(X1)))) )],[refute_0_479,refute_0_481]) ).
cnf(refute_0_483,plain,
join(complement(X0),complement(X1)) = join(zero,meet(join(complement(X0),complement(X1)),complement(complement(join(complement(X0),complement(X1)))))),
inference(subst,[],[refute_0_152:[bind(X_40,$fot(join(complement(X0),complement(X1))))]]) ).
cnf(refute_0_484,plain,
( complement(join(complement(X0),complement(X1))) != meet(X0,X1)
| join(complement(X0),complement(X1)) != join(zero,meet(join(complement(X0),complement(X1)),complement(complement(join(complement(X0),complement(X1))))))
| join(complement(X0),complement(X1)) = join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X0),complement(X1)),join(zero,meet(join(complement(X0),complement(X1)),complement(complement(join(complement(X0),complement(X1))))))) ),[1,1,1,0],$fot(meet(X0,X1))]]) ).
cnf(refute_0_485,plain,
( join(complement(X0),complement(X1)) != join(zero,meet(join(complement(X0),complement(X1)),complement(complement(join(complement(X0),complement(X1))))))
| join(complement(X0),complement(X1)) = join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1)))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X0),complement(X1))),meet(X0,X1)) )],[refute_0_94,refute_0_484]) ).
cnf(refute_0_486,plain,
join(complement(X0),complement(X1)) = join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1)))),
inference(resolve,[$cnf( $equal(join(complement(X0),complement(X1)),join(zero,meet(join(complement(X0),complement(X1)),complement(complement(join(complement(X0),complement(X1))))))) )],[refute_0_483,refute_0_485]) ).
cnf(refute_0_487,plain,
join(complement(complement(meet(X0,X1))),meet(X0,X1)) = join(meet(X0,X1),complement(complement(meet(X0,X1)))),
inference(subst,[],[refute_0_9:[bind(X0,$fot(meet(X0,X1))),bind(X1,$fot(complement(complement(meet(X0,X1)))))]]) ).
cnf(refute_0_488,plain,
complement(join(complement(complement(meet(X0,X1))),meet(X0,X1))) = complement(join(complement(complement(meet(X0,X1))),meet(X0,X1))),
introduced(tautology,[refl,[$fot(complement(join(complement(complement(meet(X0,X1))),meet(X0,X1))))]]) ).
cnf(refute_0_489,plain,
( complement(join(complement(complement(meet(X0,X1))),meet(X0,X1))) != complement(join(complement(complement(meet(X0,X1))),meet(X0,X1)))
| join(complement(complement(meet(X0,X1))),meet(X0,X1)) != join(meet(X0,X1),complement(complement(meet(X0,X1))))
| complement(join(complement(complement(meet(X0,X1))),meet(X0,X1))) = complement(join(meet(X0,X1),complement(complement(meet(X0,X1))))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(complement(meet(X0,X1))),meet(X0,X1))),complement(join(complement(complement(meet(X0,X1))),meet(X0,X1)))) ),[1,0],$fot(join(meet(X0,X1),complement(complement(meet(X0,X1)))))]]) ).
cnf(refute_0_490,plain,
( join(complement(complement(meet(X0,X1))),meet(X0,X1)) != join(meet(X0,X1),complement(complement(meet(X0,X1))))
| complement(join(complement(complement(meet(X0,X1))),meet(X0,X1))) = complement(join(meet(X0,X1),complement(complement(meet(X0,X1))))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(complement(meet(X0,X1))),meet(X0,X1))),complement(join(complement(complement(meet(X0,X1))),meet(X0,X1)))) )],[refute_0_488,refute_0_489]) ).
cnf(refute_0_491,plain,
complement(join(complement(complement(meet(X0,X1))),meet(X0,X1))) = complement(join(meet(X0,X1),complement(complement(meet(X0,X1))))),
inference(resolve,[$cnf( $equal(join(complement(complement(meet(X0,X1))),meet(X0,X1)),join(meet(X0,X1),complement(complement(meet(X0,X1))))) )],[refute_0_487,refute_0_490]) ).
cnf(refute_0_492,plain,
meet(X0,join(complement(X_14),complement(X_15))) = complement(join(complement(X0),complement(join(complement(X_14),complement(X_15))))),
inference(subst,[],[refute_0_92:[bind(X1,$fot(join(complement(X_14),complement(X_15))))]]) ).
cnf(refute_0_493,plain,
( complement(join(complement(X_14),complement(X_15))) != meet(X_14,X_15)
| meet(X0,join(complement(X_14),complement(X_15))) != complement(join(complement(X0),complement(join(complement(X_14),complement(X_15)))))
| meet(X0,join(complement(X_14),complement(X_15))) = complement(join(complement(X0),meet(X_14,X_15))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X0,join(complement(X_14),complement(X_15))),complement(join(complement(X0),complement(join(complement(X_14),complement(X_15)))))) ),[1,0,1],$fot(meet(X_14,X_15))]]) ).
cnf(refute_0_494,plain,
( meet(X0,join(complement(X_14),complement(X_15))) != complement(join(complement(X0),complement(join(complement(X_14),complement(X_15)))))
| meet(X0,join(complement(X_14),complement(X_15))) = complement(join(complement(X0),meet(X_14,X_15))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_14),complement(X_15))),meet(X_14,X_15)) )],[refute_0_118,refute_0_493]) ).
cnf(refute_0_495,plain,
meet(X0,join(complement(X_14),complement(X_15))) = complement(join(complement(X0),meet(X_14,X_15))),
inference(resolve,[$cnf( $equal(meet(X0,join(complement(X_14),complement(X_15))),complement(join(complement(X0),complement(join(complement(X_14),complement(X_15)))))) )],[refute_0_492,refute_0_494]) ).
cnf(refute_0_496,plain,
meet(complement(meet(X0,X1)),join(complement(X0),complement(X1))) = complement(join(complement(complement(meet(X0,X1))),meet(X0,X1))),
inference(subst,[],[refute_0_495:[bind(X0,$fot(complement(meet(X0,X1)))),bind(X_14,$fot(X0)),bind(X_15,$fot(X1))]]) ).
cnf(refute_0_497,plain,
meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))) = meet(complement(meet(X0,X1)),join(complement(X0),complement(X1))),
inference(subst,[],[refute_0_273:[bind(X_14,$fot(complement(meet(X0,X1)))),bind(X_15,$fot(join(complement(X0),complement(X1))))]]) ).
cnf(refute_0_498,plain,
( meet(complement(meet(X0,X1)),join(complement(X0),complement(X1))) != complement(join(complement(complement(meet(X0,X1))),meet(X0,X1)))
| meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))) != meet(complement(meet(X0,X1)),join(complement(X0),complement(X1)))
| meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))) = complement(join(complement(complement(meet(X0,X1))),meet(X0,X1))) ),
inference(subst,[],[refute_0_100:[bind(X,$fot(meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))))),bind(Y,$fot(meet(complement(meet(X0,X1)),join(complement(X0),complement(X1))))),bind(Z,$fot(complement(join(complement(complement(meet(X0,X1))),meet(X0,X1)))))]]) ).
cnf(refute_0_499,plain,
( meet(complement(meet(X0,X1)),join(complement(X0),complement(X1))) != complement(join(complement(complement(meet(X0,X1))),meet(X0,X1)))
| meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))) = complement(join(complement(complement(meet(X0,X1))),meet(X0,X1))) ),
inference(resolve,[$cnf( $equal(meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))),meet(complement(meet(X0,X1)),join(complement(X0),complement(X1)))) )],[refute_0_497,refute_0_498]) ).
cnf(refute_0_500,plain,
meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))) = complement(join(complement(complement(meet(X0,X1))),meet(X0,X1))),
inference(resolve,[$cnf( $equal(meet(complement(meet(X0,X1)),join(complement(X0),complement(X1))),complement(join(complement(complement(meet(X0,X1))),meet(X0,X1)))) )],[refute_0_496,refute_0_499]) ).
cnf(refute_0_501,plain,
( complement(join(complement(complement(meet(X0,X1))),meet(X0,X1))) != complement(join(meet(X0,X1),complement(complement(meet(X0,X1)))))
| meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))) != complement(join(complement(complement(meet(X0,X1))),meet(X0,X1)))
| meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))) = complement(join(meet(X0,X1),complement(complement(meet(X0,X1))))) ),
inference(subst,[],[refute_0_100:[bind(X,$fot(meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))))),bind(Y,$fot(complement(join(complement(complement(meet(X0,X1))),meet(X0,X1))))),bind(Z,$fot(complement(join(meet(X0,X1),complement(complement(meet(X0,X1)))))))]]) ).
cnf(refute_0_502,plain,
( complement(join(complement(complement(meet(X0,X1))),meet(X0,X1))) != complement(join(meet(X0,X1),complement(complement(meet(X0,X1)))))
| meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))) = complement(join(meet(X0,X1),complement(complement(meet(X0,X1))))) ),
inference(resolve,[$cnf( $equal(meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))),complement(join(complement(complement(meet(X0,X1))),meet(X0,X1)))) )],[refute_0_500,refute_0_501]) ).
cnf(refute_0_503,plain,
meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))) = complement(join(meet(X0,X1),complement(complement(meet(X0,X1))))),
inference(resolve,[$cnf( $equal(complement(join(complement(complement(meet(X0,X1))),meet(X0,X1))),complement(join(meet(X0,X1),complement(complement(meet(X0,X1)))))) )],[refute_0_491,refute_0_502]) ).
cnf(refute_0_504,plain,
join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1)))) = join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1)))),
introduced(tautology,[refl,[$fot(join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1)))))]]) ).
cnf(refute_0_505,plain,
( join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1)))) != join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))))
| meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))) != complement(join(meet(X0,X1),complement(complement(meet(X0,X1)))))
| join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1)))) = join(zero,complement(join(meet(X0,X1),complement(complement(meet(X0,X1)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1)))),join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))))) ),[1,1],$fot(complement(join(meet(X0,X1),complement(complement(meet(X0,X1))))))]]) ).
cnf(refute_0_506,plain,
( meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))) != complement(join(meet(X0,X1),complement(complement(meet(X0,X1)))))
| join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1)))) = join(zero,complement(join(meet(X0,X1),complement(complement(meet(X0,X1)))))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1)))),join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))))) )],[refute_0_504,refute_0_505]) ).
cnf(refute_0_507,plain,
join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1)))) = join(zero,complement(join(meet(X0,X1),complement(complement(meet(X0,X1)))))),
inference(resolve,[$cnf( $equal(meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))),complement(join(meet(X0,X1),complement(complement(meet(X0,X1)))))) )],[refute_0_503,refute_0_506]) ).
cnf(refute_0_508,plain,
( join(complement(X0),complement(X1)) != join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))))
| join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1)))) != join(zero,complement(join(meet(X0,X1),complement(complement(meet(X0,X1))))))
| join(complement(X0),complement(X1)) = join(zero,complement(join(meet(X0,X1),complement(complement(meet(X0,X1)))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(complement(X0),complement(X1)),join(zero,complement(join(meet(X0,X1),complement(complement(meet(X0,X1))))))) ),[0],$fot(join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1)))))]]) ).
cnf(refute_0_509,plain,
( join(complement(X0),complement(X1)) != join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))))
| join(complement(X0),complement(X1)) = join(zero,complement(join(meet(X0,X1),complement(complement(meet(X0,X1)))))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1)))),join(zero,complement(join(meet(X0,X1),complement(complement(meet(X0,X1))))))) )],[refute_0_507,refute_0_508]) ).
cnf(refute_0_510,plain,
join(complement(X0),complement(X1)) = join(zero,complement(join(meet(X0,X1),complement(complement(meet(X0,X1)))))),
inference(resolve,[$cnf( $equal(join(complement(X0),complement(X1)),join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1))))) )],[refute_0_486,refute_0_509]) ).
cnf(refute_0_511,plain,
meet(top,composition(join(one,one),complement(X1))) = join(zero,complement(join(complement(meet(top,composition(join(one,one),complement(X1)))),join(zero,complement(composition(join(one,one),complement(X1))))))),
inference(subst,[],[refute_0_397:[bind(X_19,$fot(composition(join(one,one),complement(X1))))]]) ).
cnf(refute_0_512,plain,
( meet(X1,X1) != complement(composition(join(one,one),complement(X1)))
| complement(composition(join(one,one),complement(X1))) = meet(X1,X1) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(X1,X1))),bind(Y,$fot(complement(composition(join(one,one),complement(X1)))))]]) ).
cnf(refute_0_513,plain,
complement(composition(join(one,one),complement(X1))) = meet(X1,X1),
inference(resolve,[$cnf( $equal(meet(X1,X1),complement(composition(join(one,one),complement(X1)))) )],[refute_0_474,refute_0_512]) ).
cnf(refute_0_514,plain,
( complement(composition(join(one,one),complement(X1))) != meet(X1,X1)
| meet(top,composition(join(one,one),complement(X1))) != join(zero,complement(join(complement(meet(top,composition(join(one,one),complement(X1)))),join(zero,complement(composition(join(one,one),complement(X1)))))))
| meet(top,composition(join(one,one),complement(X1))) = join(zero,complement(join(complement(meet(top,composition(join(one,one),complement(X1)))),join(zero,meet(X1,X1))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,composition(join(one,one),complement(X1))),join(zero,complement(join(complement(meet(top,composition(join(one,one),complement(X1)))),join(zero,complement(composition(join(one,one),complement(X1)))))))) ),[1,1,0,1,1],$fot(meet(X1,X1))]]) ).
cnf(refute_0_515,plain,
( meet(top,composition(join(one,one),complement(X1))) != join(zero,complement(join(complement(meet(top,composition(join(one,one),complement(X1)))),join(zero,complement(composition(join(one,one),complement(X1)))))))
| meet(top,composition(join(one,one),complement(X1))) = join(zero,complement(join(complement(meet(top,composition(join(one,one),complement(X1)))),join(zero,meet(X1,X1))))) ),
inference(resolve,[$cnf( $equal(complement(composition(join(one,one),complement(X1))),meet(X1,X1)) )],[refute_0_513,refute_0_514]) ).
cnf(refute_0_516,plain,
meet(top,composition(join(one,one),complement(X1))) = join(zero,complement(join(complement(meet(top,composition(join(one,one),complement(X1)))),join(zero,meet(X1,X1))))),
inference(resolve,[$cnf( $equal(meet(top,composition(join(one,one),complement(X1))),join(zero,complement(join(complement(meet(top,composition(join(one,one),complement(X1)))),join(zero,complement(composition(join(one,one),complement(X1)))))))) )],[refute_0_511,refute_0_515]) ).
cnf(refute_0_517,plain,
meet(top,composition(join(one,one),complement(X_37))) = complement(join(zero,complement(composition(join(one,one),complement(X_37))))),
inference(subst,[],[refute_0_233:[bind(X1,$fot(composition(join(one,one),complement(X_37))))]]) ).
cnf(refute_0_518,plain,
meet(X_37,X_37) = complement(composition(join(one,one),complement(X_37))),
inference(subst,[],[refute_0_474:[bind(X1,$fot(X_37))]]) ).
cnf(refute_0_519,plain,
( meet(X_37,X_37) != complement(composition(join(one,one),complement(X_37)))
| complement(composition(join(one,one),complement(X_37))) = meet(X_37,X_37) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(X_37,X_37))),bind(Y,$fot(complement(composition(join(one,one),complement(X_37)))))]]) ).
cnf(refute_0_520,plain,
complement(composition(join(one,one),complement(X_37))) = meet(X_37,X_37),
inference(resolve,[$cnf( $equal(meet(X_37,X_37),complement(composition(join(one,one),complement(X_37)))) )],[refute_0_518,refute_0_519]) ).
cnf(refute_0_521,plain,
( complement(composition(join(one,one),complement(X_37))) != meet(X_37,X_37)
| meet(top,composition(join(one,one),complement(X_37))) != complement(join(zero,complement(composition(join(one,one),complement(X_37)))))
| meet(top,composition(join(one,one),complement(X_37))) = complement(join(zero,meet(X_37,X_37))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,composition(join(one,one),complement(X_37))),complement(join(zero,complement(composition(join(one,one),complement(X_37)))))) ),[1,0,1],$fot(meet(X_37,X_37))]]) ).
cnf(refute_0_522,plain,
( meet(top,composition(join(one,one),complement(X_37))) != complement(join(zero,complement(composition(join(one,one),complement(X_37)))))
| meet(top,composition(join(one,one),complement(X_37))) = complement(join(zero,meet(X_37,X_37))) ),
inference(resolve,[$cnf( $equal(complement(composition(join(one,one),complement(X_37))),meet(X_37,X_37)) )],[refute_0_520,refute_0_521]) ).
cnf(refute_0_523,plain,
meet(top,composition(join(one,one),complement(X_37))) = complement(join(zero,meet(X_37,X_37))),
inference(resolve,[$cnf( $equal(meet(top,composition(join(one,one),complement(X_37))),complement(join(zero,complement(composition(join(one,one),complement(X_37)))))) )],[refute_0_517,refute_0_522]) ).
cnf(refute_0_524,plain,
( X_40 != join(meet(X_40,complement(X_40)),complement(join(complement(X_40),complement(X_40))))
| meet(X_40,complement(X_40)) != zero
| X_40 = join(zero,complement(join(complement(X_40),complement(X_40)))) ),
introduced(tautology,[equality,[$cnf( $equal(X_40,join(meet(X_40,complement(X_40)),complement(join(complement(X_40),complement(X_40))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_525,plain,
( X_40 != join(meet(X_40,complement(X_40)),complement(join(complement(X_40),complement(X_40))))
| X_40 = join(zero,complement(join(complement(X_40),complement(X_40)))) ),
inference(resolve,[$cnf( $equal(meet(X_40,complement(X_40)),zero) )],[refute_0_341,refute_0_524]) ).
cnf(refute_0_526,plain,
X_40 = join(zero,complement(join(complement(X_40),complement(X_40)))),
inference(resolve,[$cnf( $equal(X_40,join(meet(X_40,complement(X_40)),complement(join(complement(X_40),complement(X_40))))) )],[refute_0_283,refute_0_525]) ).
cnf(refute_0_527,plain,
complement(join(complement(X_40),complement(X_40))) = meet(X_40,X_40),
inference(subst,[],[refute_0_94:[bind(X0,$fot(X_40)),bind(X1,$fot(X_40))]]) ).
cnf(refute_0_528,plain,
join(zero,complement(join(complement(X_40),complement(X_40)))) = join(zero,complement(join(complement(X_40),complement(X_40)))),
introduced(tautology,[refl,[$fot(join(zero,complement(join(complement(X_40),complement(X_40)))))]]) ).
cnf(refute_0_529,plain,
( complement(join(complement(X_40),complement(X_40))) != meet(X_40,X_40)
| join(zero,complement(join(complement(X_40),complement(X_40)))) != join(zero,complement(join(complement(X_40),complement(X_40))))
| join(zero,complement(join(complement(X_40),complement(X_40)))) = join(zero,meet(X_40,X_40)) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,complement(join(complement(X_40),complement(X_40)))),join(zero,complement(join(complement(X_40),complement(X_40))))) ),[1,1],$fot(meet(X_40,X_40))]]) ).
cnf(refute_0_530,plain,
( complement(join(complement(X_40),complement(X_40))) != meet(X_40,X_40)
| join(zero,complement(join(complement(X_40),complement(X_40)))) = join(zero,meet(X_40,X_40)) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(complement(X_40),complement(X_40)))),join(zero,complement(join(complement(X_40),complement(X_40))))) )],[refute_0_528,refute_0_529]) ).
cnf(refute_0_531,plain,
join(zero,complement(join(complement(X_40),complement(X_40)))) = join(zero,meet(X_40,X_40)),
inference(resolve,[$cnf( $equal(complement(join(complement(X_40),complement(X_40))),meet(X_40,X_40)) )],[refute_0_527,refute_0_530]) ).
cnf(refute_0_532,plain,
( X_40 != join(zero,complement(join(complement(X_40),complement(X_40))))
| join(zero,complement(join(complement(X_40),complement(X_40)))) != join(zero,meet(X_40,X_40))
| X_40 = join(zero,meet(X_40,X_40)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_40,join(zero,meet(X_40,X_40))) ),[0],$fot(join(zero,complement(join(complement(X_40),complement(X_40)))))]]) ).
cnf(refute_0_533,plain,
( X_40 != join(zero,complement(join(complement(X_40),complement(X_40))))
| X_40 = join(zero,meet(X_40,X_40)) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(complement(X_40),complement(X_40)))),join(zero,meet(X_40,X_40))) )],[refute_0_531,refute_0_532]) ).
cnf(refute_0_534,plain,
X_40 = join(zero,meet(X_40,X_40)),
inference(resolve,[$cnf( $equal(X_40,join(zero,complement(join(complement(X_40),complement(X_40))))) )],[refute_0_526,refute_0_533]) ).
cnf(refute_0_535,plain,
( X_40 != join(zero,meet(X_40,X_40))
| join(zero,meet(X_40,X_40)) = X_40 ),
inference(subst,[],[refute_0_7:[bind(X,$fot(X_40)),bind(Y,$fot(join(zero,meet(X_40,X_40))))]]) ).
cnf(refute_0_536,plain,
join(zero,meet(X_40,X_40)) = X_40,
inference(resolve,[$cnf( $equal(X_40,join(zero,meet(X_40,X_40))) )],[refute_0_534,refute_0_535]) ).
cnf(refute_0_537,plain,
join(zero,meet(X_37,X_37)) = X_37,
inference(subst,[],[refute_0_536:[bind(X_40,$fot(X_37))]]) ).
cnf(refute_0_538,plain,
complement(join(zero,meet(X_37,X_37))) = complement(join(zero,meet(X_37,X_37))),
introduced(tautology,[refl,[$fot(complement(join(zero,meet(X_37,X_37))))]]) ).
cnf(refute_0_539,plain,
( complement(join(zero,meet(X_37,X_37))) != complement(join(zero,meet(X_37,X_37)))
| join(zero,meet(X_37,X_37)) != X_37
| complement(join(zero,meet(X_37,X_37))) = complement(X_37) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(zero,meet(X_37,X_37))),complement(join(zero,meet(X_37,X_37)))) ),[1,0],$fot(X_37)]]) ).
cnf(refute_0_540,plain,
( join(zero,meet(X_37,X_37)) != X_37
| complement(join(zero,meet(X_37,X_37))) = complement(X_37) ),
inference(resolve,[$cnf( $equal(complement(join(zero,meet(X_37,X_37))),complement(join(zero,meet(X_37,X_37)))) )],[refute_0_538,refute_0_539]) ).
cnf(refute_0_541,plain,
complement(join(zero,meet(X_37,X_37))) = complement(X_37),
inference(resolve,[$cnf( $equal(join(zero,meet(X_37,X_37)),X_37) )],[refute_0_537,refute_0_540]) ).
cnf(refute_0_542,plain,
( complement(join(zero,meet(X_37,X_37))) != complement(X_37)
| meet(top,composition(join(one,one),complement(X_37))) != complement(join(zero,meet(X_37,X_37)))
| meet(top,composition(join(one,one),complement(X_37))) = complement(X_37) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,composition(join(one,one),complement(X_37))),complement(join(zero,meet(X_37,X_37)))) ),[1],$fot(complement(X_37))]]) ).
cnf(refute_0_543,plain,
( meet(top,composition(join(one,one),complement(X_37))) != complement(join(zero,meet(X_37,X_37)))
| meet(top,composition(join(one,one),complement(X_37))) = complement(X_37) ),
inference(resolve,[$cnf( $equal(complement(join(zero,meet(X_37,X_37))),complement(X_37)) )],[refute_0_541,refute_0_542]) ).
cnf(refute_0_544,plain,
meet(top,composition(join(one,one),complement(X_37))) = complement(X_37),
inference(resolve,[$cnf( $equal(meet(top,composition(join(one,one),complement(X_37))),complement(join(zero,meet(X_37,X_37)))) )],[refute_0_523,refute_0_543]) ).
cnf(refute_0_545,plain,
meet(top,composition(join(one,one),complement(X1))) = complement(X1),
inference(subst,[],[refute_0_544:[bind(X_37,$fot(X1))]]) ).
cnf(refute_0_546,plain,
( meet(top,composition(join(one,one),complement(X1))) != complement(X1)
| meet(top,composition(join(one,one),complement(X1))) != join(zero,complement(join(complement(meet(top,composition(join(one,one),complement(X1)))),join(zero,meet(X1,X1)))))
| complement(X1) = join(zero,complement(join(complement(meet(top,composition(join(one,one),complement(X1)))),join(zero,meet(X1,X1))))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,composition(join(one,one),complement(X1))),join(zero,complement(join(complement(meet(top,composition(join(one,one),complement(X1)))),join(zero,meet(X1,X1)))))) ),[0],$fot(complement(X1))]]) ).
cnf(refute_0_547,plain,
( meet(top,composition(join(one,one),complement(X1))) != join(zero,complement(join(complement(meet(top,composition(join(one,one),complement(X1)))),join(zero,meet(X1,X1)))))
| complement(X1) = join(zero,complement(join(complement(meet(top,composition(join(one,one),complement(X1)))),join(zero,meet(X1,X1))))) ),
inference(resolve,[$cnf( $equal(meet(top,composition(join(one,one),complement(X1))),complement(X1)) )],[refute_0_545,refute_0_546]) ).
cnf(refute_0_548,plain,
join(complement(complement(X1)),X1) = join(X1,complement(complement(X1))),
inference(subst,[],[refute_0_9:[bind(X0,$fot(X1)),bind(X1,$fot(complement(complement(X1))))]]) ).
cnf(refute_0_549,plain,
join(zero,meet(X1,X1)) = X1,
inference(subst,[],[refute_0_536:[bind(X_40,$fot(X1))]]) ).
cnf(refute_0_550,plain,
join(complement(complement(X1)),join(zero,meet(X1,X1))) = join(complement(complement(X1)),join(zero,meet(X1,X1))),
introduced(tautology,[refl,[$fot(join(complement(complement(X1)),join(zero,meet(X1,X1))))]]) ).
cnf(refute_0_551,plain,
( join(complement(complement(X1)),join(zero,meet(X1,X1))) != join(complement(complement(X1)),join(zero,meet(X1,X1)))
| join(zero,meet(X1,X1)) != X1
| join(complement(complement(X1)),join(zero,meet(X1,X1))) = join(complement(complement(X1)),X1) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(X1)),join(zero,meet(X1,X1))),join(complement(complement(X1)),join(zero,meet(X1,X1)))) ),[1,1],$fot(X1)]]) ).
cnf(refute_0_552,plain,
( join(zero,meet(X1,X1)) != X1
| join(complement(complement(X1)),join(zero,meet(X1,X1))) = join(complement(complement(X1)),X1) ),
inference(resolve,[$cnf( $equal(join(complement(complement(X1)),join(zero,meet(X1,X1))),join(complement(complement(X1)),join(zero,meet(X1,X1)))) )],[refute_0_550,refute_0_551]) ).
cnf(refute_0_553,plain,
join(complement(complement(X1)),join(zero,meet(X1,X1))) = join(complement(complement(X1)),X1),
inference(resolve,[$cnf( $equal(join(zero,meet(X1,X1)),X1) )],[refute_0_549,refute_0_552]) ).
cnf(refute_0_554,plain,
complement(meet(top,composition(join(one,one),complement(X1)))) = complement(meet(top,composition(join(one,one),complement(X1)))),
introduced(tautology,[refl,[$fot(complement(meet(top,composition(join(one,one),complement(X1)))))]]) ).
cnf(refute_0_555,plain,
( complement(meet(top,composition(join(one,one),complement(X1)))) != complement(meet(top,composition(join(one,one),complement(X1))))
| meet(top,composition(join(one,one),complement(X1))) != complement(X1)
| complement(meet(top,composition(join(one,one),complement(X1)))) = complement(complement(X1)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(top,composition(join(one,one),complement(X1)))),complement(meet(top,composition(join(one,one),complement(X1))))) ),[1,0],$fot(complement(X1))]]) ).
cnf(refute_0_556,plain,
( meet(top,composition(join(one,one),complement(X1))) != complement(X1)
| complement(meet(top,composition(join(one,one),complement(X1)))) = complement(complement(X1)) ),
inference(resolve,[$cnf( $equal(complement(meet(top,composition(join(one,one),complement(X1)))),complement(meet(top,composition(join(one,one),complement(X1))))) )],[refute_0_554,refute_0_555]) ).
cnf(refute_0_557,plain,
complement(meet(top,composition(join(one,one),complement(X1)))) = complement(complement(X1)),
inference(resolve,[$cnf( $equal(meet(top,composition(join(one,one),complement(X1))),complement(X1)) )],[refute_0_545,refute_0_556]) ).
cnf(refute_0_558,plain,
join(complement(meet(top,composition(join(one,one),complement(X1)))),join(zero,meet(X1,X1))) = join(complement(meet(top,composition(join(one,one),complement(X1)))),join(zero,meet(X1,X1))),
introduced(tautology,[refl,[$fot(join(complement(meet(top,composition(join(one,one),complement(X1)))),join(zero,meet(X1,X1))))]]) ).
cnf(refute_0_559,plain,
( complement(meet(top,composition(join(one,one),complement(X1)))) != complement(complement(X1))
| join(complement(meet(top,composition(join(one,one),complement(X1)))),join(zero,meet(X1,X1))) != join(complement(meet(top,composition(join(one,one),complement(X1)))),join(zero,meet(X1,X1)))
| join(complement(meet(top,composition(join(one,one),complement(X1)))),join(zero,meet(X1,X1))) = join(complement(complement(X1)),join(zero,meet(X1,X1))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(meet(top,composition(join(one,one),complement(X1)))),join(zero,meet(X1,X1))),join(complement(meet(top,composition(join(one,one),complement(X1)))),join(zero,meet(X1,X1)))) ),[1,0],$fot(complement(complement(X1)))]]) ).
cnf(refute_0_560,plain,
( complement(meet(top,composition(join(one,one),complement(X1)))) != complement(complement(X1))
| join(complement(meet(top,composition(join(one,one),complement(X1)))),join(zero,meet(X1,X1))) = join(complement(complement(X1)),join(zero,meet(X1,X1))) ),
inference(resolve,[$cnf( $equal(join(complement(meet(top,composition(join(one,one),complement(X1)))),join(zero,meet(X1,X1))),join(complement(meet(top,composition(join(one,one),complement(X1)))),join(zero,meet(X1,X1)))) )],[refute_0_558,refute_0_559]) ).
cnf(refute_0_561,plain,
join(complement(meet(top,composition(join(one,one),complement(X1)))),join(zero,meet(X1,X1))) = join(complement(complement(X1)),join(zero,meet(X1,X1))),
inference(resolve,[$cnf( $equal(complement(meet(top,composition(join(one,one),complement(X1)))),complement(complement(X1))) )],[refute_0_557,refute_0_560]) ).
cnf(refute_0_562,plain,
( join(complement(complement(X1)),join(zero,meet(X1,X1))) != join(complement(complement(X1)),X1)
| join(complement(meet(top,composition(join(one,one),complement(X1)))),join(zero,meet(X1,X1))) != join(complement(complement(X1)),join(zero,meet(X1,X1)))
| join(complement(meet(top,composition(join(one,one),complement(X1)))),join(zero,meet(X1,X1))) = join(complement(complement(X1)),X1) ),
inference(subst,[],[refute_0_100:[bind(X,$fot(join(complement(meet(top,composition(join(one,one),complement(X1)))),join(zero,meet(X1,X1))))),bind(Y,$fot(join(complement(complement(X1)),join(zero,meet(X1,X1))))),bind(Z,$fot(join(complement(complement(X1)),X1)))]]) ).
cnf(refute_0_563,plain,
( join(complement(complement(X1)),join(zero,meet(X1,X1))) != join(complement(complement(X1)),X1)
| join(complement(meet(top,composition(join(one,one),complement(X1)))),join(zero,meet(X1,X1))) = join(complement(complement(X1)),X1) ),
inference(resolve,[$cnf( $equal(join(complement(meet(top,composition(join(one,one),complement(X1)))),join(zero,meet(X1,X1))),join(complement(complement(X1)),join(zero,meet(X1,X1)))) )],[refute_0_561,refute_0_562]) ).
cnf(refute_0_564,plain,
join(complement(meet(top,composition(join(one,one),complement(X1)))),join(zero,meet(X1,X1))) = join(complement(complement(X1)),X1),
inference(resolve,[$cnf( $equal(join(complement(complement(X1)),join(zero,meet(X1,X1))),join(complement(complement(X1)),X1)) )],[refute_0_553,refute_0_563]) ).
cnf(refute_0_565,plain,
( join(complement(complement(X1)),X1) != join(X1,complement(complement(X1)))
| join(complement(meet(top,composition(join(one,one),complement(X1)))),join(zero,meet(X1,X1))) != join(complement(complement(X1)),X1)
| join(complement(meet(top,composition(join(one,one),complement(X1)))),join(zero,meet(X1,X1))) = join(X1,complement(complement(X1))) ),
inference(subst,[],[refute_0_100:[bind(X,$fot(join(complement(meet(top,composition(join(one,one),complement(X1)))),join(zero,meet(X1,X1))))),bind(Y,$fot(join(complement(complement(X1)),X1))),bind(Z,$fot(join(X1,complement(complement(X1)))))]]) ).
cnf(refute_0_566,plain,
( join(complement(complement(X1)),X1) != join(X1,complement(complement(X1)))
| join(complement(meet(top,composition(join(one,one),complement(X1)))),join(zero,meet(X1,X1))) = join(X1,complement(complement(X1))) ),
inference(resolve,[$cnf( $equal(join(complement(meet(top,composition(join(one,one),complement(X1)))),join(zero,meet(X1,X1))),join(complement(complement(X1)),X1)) )],[refute_0_564,refute_0_565]) ).
cnf(refute_0_567,plain,
join(complement(meet(top,composition(join(one,one),complement(X1)))),join(zero,meet(X1,X1))) = join(X1,complement(complement(X1))),
inference(resolve,[$cnf( $equal(join(complement(complement(X1)),X1),join(X1,complement(complement(X1)))) )],[refute_0_548,refute_0_566]) ).
cnf(refute_0_568,plain,
complement(join(complement(meet(top,composition(join(one,one),complement(X1)))),join(zero,meet(X1,X1)))) = complement(join(complement(meet(top,composition(join(one,one),complement(X1)))),join(zero,meet(X1,X1)))),
introduced(tautology,[refl,[$fot(complement(join(complement(meet(top,composition(join(one,one),complement(X1)))),join(zero,meet(X1,X1)))))]]) ).
cnf(refute_0_569,plain,
( complement(join(complement(meet(top,composition(join(one,one),complement(X1)))),join(zero,meet(X1,X1)))) != complement(join(complement(meet(top,composition(join(one,one),complement(X1)))),join(zero,meet(X1,X1))))
| join(complement(meet(top,composition(join(one,one),complement(X1)))),join(zero,meet(X1,X1))) != join(X1,complement(complement(X1)))
| complement(join(complement(meet(top,composition(join(one,one),complement(X1)))),join(zero,meet(X1,X1)))) = complement(join(X1,complement(complement(X1)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(meet(top,composition(join(one,one),complement(X1)))),join(zero,meet(X1,X1)))),complement(join(complement(meet(top,composition(join(one,one),complement(X1)))),join(zero,meet(X1,X1))))) ),[1,0],$fot(join(X1,complement(complement(X1))))]]) ).
cnf(refute_0_570,plain,
( join(complement(meet(top,composition(join(one,one),complement(X1)))),join(zero,meet(X1,X1))) != join(X1,complement(complement(X1)))
| complement(join(complement(meet(top,composition(join(one,one),complement(X1)))),join(zero,meet(X1,X1)))) = complement(join(X1,complement(complement(X1)))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(meet(top,composition(join(one,one),complement(X1)))),join(zero,meet(X1,X1)))),complement(join(complement(meet(top,composition(join(one,one),complement(X1)))),join(zero,meet(X1,X1))))) )],[refute_0_568,refute_0_569]) ).
cnf(refute_0_571,plain,
complement(join(complement(meet(top,composition(join(one,one),complement(X1)))),join(zero,meet(X1,X1)))) = complement(join(X1,complement(complement(X1)))),
inference(resolve,[$cnf( $equal(join(complement(meet(top,composition(join(one,one),complement(X1)))),join(zero,meet(X1,X1))),join(X1,complement(complement(X1)))) )],[refute_0_567,refute_0_570]) ).
cnf(refute_0_572,plain,
join(zero,complement(join(complement(meet(top,composition(join(one,one),complement(X1)))),join(zero,meet(X1,X1))))) = join(zero,complement(join(complement(meet(top,composition(join(one,one),complement(X1)))),join(zero,meet(X1,X1))))),
introduced(tautology,[refl,[$fot(join(zero,complement(join(complement(meet(top,composition(join(one,one),complement(X1)))),join(zero,meet(X1,X1))))))]]) ).
cnf(refute_0_573,plain,
( complement(join(complement(meet(top,composition(join(one,one),complement(X1)))),join(zero,meet(X1,X1)))) != complement(join(X1,complement(complement(X1))))
| join(zero,complement(join(complement(meet(top,composition(join(one,one),complement(X1)))),join(zero,meet(X1,X1))))) != join(zero,complement(join(complement(meet(top,composition(join(one,one),complement(X1)))),join(zero,meet(X1,X1)))))
| join(zero,complement(join(complement(meet(top,composition(join(one,one),complement(X1)))),join(zero,meet(X1,X1))))) = join(zero,complement(join(X1,complement(complement(X1))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,complement(join(complement(meet(top,composition(join(one,one),complement(X1)))),join(zero,meet(X1,X1))))),join(zero,complement(join(complement(meet(top,composition(join(one,one),complement(X1)))),join(zero,meet(X1,X1)))))) ),[1,1],$fot(complement(join(X1,complement(complement(X1)))))]]) ).
cnf(refute_0_574,plain,
( complement(join(complement(meet(top,composition(join(one,one),complement(X1)))),join(zero,meet(X1,X1)))) != complement(join(X1,complement(complement(X1))))
| join(zero,complement(join(complement(meet(top,composition(join(one,one),complement(X1)))),join(zero,meet(X1,X1))))) = join(zero,complement(join(X1,complement(complement(X1))))) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(complement(meet(top,composition(join(one,one),complement(X1)))),join(zero,meet(X1,X1))))),join(zero,complement(join(complement(meet(top,composition(join(one,one),complement(X1)))),join(zero,meet(X1,X1)))))) )],[refute_0_572,refute_0_573]) ).
cnf(refute_0_575,plain,
join(zero,complement(join(complement(meet(top,composition(join(one,one),complement(X1)))),join(zero,meet(X1,X1))))) = join(zero,complement(join(X1,complement(complement(X1))))),
inference(resolve,[$cnf( $equal(complement(join(complement(meet(top,composition(join(one,one),complement(X1)))),join(zero,meet(X1,X1)))),complement(join(X1,complement(complement(X1))))) )],[refute_0_571,refute_0_574]) ).
cnf(refute_0_576,plain,
( complement(X1) != join(zero,complement(join(complement(meet(top,composition(join(one,one),complement(X1)))),join(zero,meet(X1,X1)))))
| join(zero,complement(join(complement(meet(top,composition(join(one,one),complement(X1)))),join(zero,meet(X1,X1))))) != join(zero,complement(join(X1,complement(complement(X1)))))
| complement(X1) = join(zero,complement(join(X1,complement(complement(X1))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(X1),join(zero,complement(join(X1,complement(complement(X1)))))) ),[0],$fot(join(zero,complement(join(complement(meet(top,composition(join(one,one),complement(X1)))),join(zero,meet(X1,X1))))))]]) ).
cnf(refute_0_577,plain,
( complement(X1) != join(zero,complement(join(complement(meet(top,composition(join(one,one),complement(X1)))),join(zero,meet(X1,X1)))))
| complement(X1) = join(zero,complement(join(X1,complement(complement(X1))))) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(complement(meet(top,composition(join(one,one),complement(X1)))),join(zero,meet(X1,X1))))),join(zero,complement(join(X1,complement(complement(X1)))))) )],[refute_0_575,refute_0_576]) ).
cnf(refute_0_578,plain,
( meet(top,composition(join(one,one),complement(X1))) != join(zero,complement(join(complement(meet(top,composition(join(one,one),complement(X1)))),join(zero,meet(X1,X1)))))
| complement(X1) = join(zero,complement(join(X1,complement(complement(X1))))) ),
inference(resolve,[$cnf( $equal(complement(X1),join(zero,complement(join(complement(meet(top,composition(join(one,one),complement(X1)))),join(zero,meet(X1,X1)))))) )],[refute_0_547,refute_0_577]) ).
cnf(refute_0_579,plain,
complement(X1) = join(zero,complement(join(X1,complement(complement(X1))))),
inference(resolve,[$cnf( $equal(meet(top,composition(join(one,one),complement(X1))),join(zero,complement(join(complement(meet(top,composition(join(one,one),complement(X1)))),join(zero,meet(X1,X1)))))) )],[refute_0_516,refute_0_578]) ).
cnf(refute_0_580,plain,
join(zero,complement(join(X1,complement(complement(X1))))) = complement(meet(top,join(X1,complement(complement(X1))))),
inference(subst,[],[refute_0_463:[bind(X_19,$fot(join(X1,complement(complement(X1)))))]]) ).
cnf(refute_0_581,plain,
( complement(X1) != join(zero,complement(join(X1,complement(complement(X1)))))
| join(zero,complement(join(X1,complement(complement(X1))))) != complement(meet(top,join(X1,complement(complement(X1)))))
| complement(X1) = complement(meet(top,join(X1,complement(complement(X1))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(X1),complement(meet(top,join(X1,complement(complement(X1)))))) ),[0],$fot(join(zero,complement(join(X1,complement(complement(X1))))))]]) ).
cnf(refute_0_582,plain,
( complement(X1) != join(zero,complement(join(X1,complement(complement(X1)))))
| complement(X1) = complement(meet(top,join(X1,complement(complement(X1))))) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(X1,complement(complement(X1))))),complement(meet(top,join(X1,complement(complement(X1)))))) )],[refute_0_580,refute_0_581]) ).
cnf(refute_0_583,plain,
complement(X1) = complement(meet(top,join(X1,complement(complement(X1))))),
inference(resolve,[$cnf( $equal(complement(X1),join(zero,complement(join(X1,complement(complement(X1)))))) )],[refute_0_579,refute_0_582]) ).
cnf(refute_0_584,plain,
( complement(X1) != complement(meet(top,join(X1,complement(complement(X1)))))
| complement(meet(top,join(X1,complement(complement(X1))))) = complement(X1) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(complement(X1))),bind(Y,$fot(complement(meet(top,join(X1,complement(complement(X1)))))))]]) ).
cnf(refute_0_585,plain,
complement(meet(top,join(X1,complement(complement(X1))))) = complement(X1),
inference(resolve,[$cnf( $equal(complement(X1),complement(meet(top,join(X1,complement(complement(X1)))))) )],[refute_0_583,refute_0_584]) ).
cnf(refute_0_586,plain,
complement(meet(top,join(meet(X0,X1),complement(complement(meet(X0,X1)))))) = complement(meet(X0,X1)),
inference(subst,[],[refute_0_585:[bind(X1,$fot(meet(X0,X1)))]]) ).
cnf(refute_0_587,plain,
join(zero,complement(join(meet(X0,X1),complement(complement(meet(X0,X1)))))) = complement(meet(top,join(meet(X0,X1),complement(complement(meet(X0,X1)))))),
inference(subst,[],[refute_0_463:[bind(X_19,$fot(join(meet(X0,X1),complement(complement(meet(X0,X1))))))]]) ).
cnf(refute_0_588,plain,
( complement(meet(top,join(meet(X0,X1),complement(complement(meet(X0,X1)))))) != complement(meet(X0,X1))
| join(zero,complement(join(meet(X0,X1),complement(complement(meet(X0,X1)))))) != complement(meet(top,join(meet(X0,X1),complement(complement(meet(X0,X1))))))
| join(zero,complement(join(meet(X0,X1),complement(complement(meet(X0,X1)))))) = complement(meet(X0,X1)) ),
inference(subst,[],[refute_0_100:[bind(X,$fot(join(zero,complement(join(meet(X0,X1),complement(complement(meet(X0,X1)))))))),bind(Y,$fot(complement(meet(top,join(meet(X0,X1),complement(complement(meet(X0,X1)))))))),bind(Z,$fot(complement(meet(X0,X1))))]]) ).
cnf(refute_0_589,plain,
( complement(meet(top,join(meet(X0,X1),complement(complement(meet(X0,X1)))))) != complement(meet(X0,X1))
| join(zero,complement(join(meet(X0,X1),complement(complement(meet(X0,X1)))))) = complement(meet(X0,X1)) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(meet(X0,X1),complement(complement(meet(X0,X1)))))),complement(meet(top,join(meet(X0,X1),complement(complement(meet(X0,X1))))))) )],[refute_0_587,refute_0_588]) ).
cnf(refute_0_590,plain,
join(zero,complement(join(meet(X0,X1),complement(complement(meet(X0,X1)))))) = complement(meet(X0,X1)),
inference(resolve,[$cnf( $equal(complement(meet(top,join(meet(X0,X1),complement(complement(meet(X0,X1)))))),complement(meet(X0,X1))) )],[refute_0_586,refute_0_589]) ).
cnf(refute_0_591,plain,
( join(complement(X0),complement(X1)) != join(zero,complement(join(meet(X0,X1),complement(complement(meet(X0,X1))))))
| join(zero,complement(join(meet(X0,X1),complement(complement(meet(X0,X1)))))) != complement(meet(X0,X1))
| join(complement(X0),complement(X1)) = complement(meet(X0,X1)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(complement(X0),complement(X1)),complement(meet(X0,X1))) ),[0],$fot(join(zero,complement(join(meet(X0,X1),complement(complement(meet(X0,X1)))))))]]) ).
cnf(refute_0_592,plain,
( join(complement(X0),complement(X1)) != join(zero,complement(join(meet(X0,X1),complement(complement(meet(X0,X1))))))
| join(complement(X0),complement(X1)) = complement(meet(X0,X1)) ),
inference(resolve,[$cnf( $equal(join(zero,complement(join(meet(X0,X1),complement(complement(meet(X0,X1)))))),complement(meet(X0,X1))) )],[refute_0_590,refute_0_591]) ).
cnf(refute_0_593,plain,
join(complement(X0),complement(X1)) = complement(meet(X0,X1)),
inference(resolve,[$cnf( $equal(join(complement(X0),complement(X1)),join(zero,complement(join(meet(X0,X1),complement(complement(meet(X0,X1))))))) )],[refute_0_510,refute_0_592]) ).
cnf(refute_0_594,plain,
join(complement(X_14),complement(X_15)) = complement(meet(X_14,X_15)),
inference(subst,[],[refute_0_593:[bind(X0,$fot(X_14)),bind(X1,$fot(X_15))]]) ).
cnf(refute_0_595,plain,
meet(join(complement(X_14),complement(X_15)),X1) = meet(join(complement(X_14),complement(X_15)),X1),
introduced(tautology,[refl,[$fot(meet(join(complement(X_14),complement(X_15)),X1))]]) ).
cnf(refute_0_596,plain,
( join(complement(X_14),complement(X_15)) != complement(meet(X_14,X_15))
| meet(join(complement(X_14),complement(X_15)),X1) != meet(join(complement(X_14),complement(X_15)),X1)
| meet(join(complement(X_14),complement(X_15)),X1) = meet(complement(meet(X_14,X_15)),X1) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(complement(X_14),complement(X_15)),X1),meet(join(complement(X_14),complement(X_15)),X1)) ),[1,0],$fot(complement(meet(X_14,X_15)))]]) ).
cnf(refute_0_597,plain,
( join(complement(X_14),complement(X_15)) != complement(meet(X_14,X_15))
| meet(join(complement(X_14),complement(X_15)),X1) = meet(complement(meet(X_14,X_15)),X1) ),
inference(resolve,[$cnf( $equal(meet(join(complement(X_14),complement(X_15)),X1),meet(join(complement(X_14),complement(X_15)),X1)) )],[refute_0_595,refute_0_596]) ).
cnf(refute_0_598,plain,
meet(join(complement(X_14),complement(X_15)),X1) = meet(complement(meet(X_14,X_15)),X1),
inference(resolve,[$cnf( $equal(join(complement(X_14),complement(X_15)),complement(meet(X_14,X_15))) )],[refute_0_594,refute_0_597]) ).
cnf(refute_0_599,plain,
( meet(join(complement(X_14),complement(X_15)),X1) != complement(join(meet(X_14,X_15),complement(X1)))
| meet(join(complement(X_14),complement(X_15)),X1) != meet(complement(meet(X_14,X_15)),X1)
| meet(complement(meet(X_14,X_15)),X1) = complement(join(meet(X_14,X_15),complement(X1))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(complement(X_14),complement(X_15)),X1),complement(join(meet(X_14,X_15),complement(X1)))) ),[0],$fot(meet(complement(meet(X_14,X_15)),X1))]]) ).
cnf(refute_0_600,plain,
( meet(join(complement(X_14),complement(X_15)),X1) != complement(join(meet(X_14,X_15),complement(X1)))
| meet(complement(meet(X_14,X_15)),X1) = complement(join(meet(X_14,X_15),complement(X1))) ),
inference(resolve,[$cnf( $equal(meet(join(complement(X_14),complement(X_15)),X1),meet(complement(meet(X_14,X_15)),X1)) )],[refute_0_598,refute_0_599]) ).
cnf(refute_0_601,plain,
meet(complement(meet(X_14,X_15)),X1) = complement(join(meet(X_14,X_15),complement(X1))),
inference(resolve,[$cnf( $equal(meet(join(complement(X_14),complement(X_15)),X1),complement(join(meet(X_14,X_15),complement(X1)))) )],[refute_0_132,refute_0_600]) ).
cnf(refute_0_602,plain,
( meet(complement(meet(X_14,X_15)),X1) != complement(join(meet(X_14,X_15),complement(X1)))
| complement(join(meet(X_14,X_15),complement(X1))) = meet(complement(meet(X_14,X_15)),X1) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(complement(meet(X_14,X_15)),X1))),bind(Y,$fot(complement(join(meet(X_14,X_15),complement(X1)))))]]) ).
cnf(refute_0_603,plain,
complement(join(meet(X_14,X_15),complement(X1))) = meet(complement(meet(X_14,X_15)),X1),
inference(resolve,[$cnf( $equal(meet(complement(meet(X_14,X_15)),X1),complement(join(meet(X_14,X_15),complement(X1)))) )],[refute_0_601,refute_0_602]) ).
cnf(refute_0_604,plain,
complement(join(meet(zero,X_58),complement(X1))) = meet(complement(meet(zero,X_58)),X1),
inference(subst,[],[refute_0_603:[bind(X_14,$fot(zero)),bind(X_15,$fot(X_58))]]) ).
cnf(refute_0_605,plain,
( complement(join(meet(zero,X_58),complement(X1))) != meet(complement(meet(zero,X_58)),X1)
| meet(join(top,complement(X_58)),X1) != complement(join(meet(zero,X_58),complement(X1)))
| meet(join(top,complement(X_58)),X1) = meet(complement(meet(zero,X_58)),X1) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(top,complement(X_58)),X1),complement(join(meet(zero,X_58),complement(X1)))) ),[1],$fot(meet(complement(meet(zero,X_58)),X1))]]) ).
cnf(refute_0_606,plain,
( meet(join(top,complement(X_58)),X1) != complement(join(meet(zero,X_58),complement(X1)))
| meet(join(top,complement(X_58)),X1) = meet(complement(meet(zero,X_58)),X1) ),
inference(resolve,[$cnf( $equal(complement(join(meet(zero,X_58),complement(X1))),meet(complement(meet(zero,X_58)),X1)) )],[refute_0_604,refute_0_605]) ).
cnf(refute_0_607,plain,
meet(join(top,complement(X_58)),X1) = meet(complement(meet(zero,X_58)),X1),
inference(resolve,[$cnf( $equal(meet(join(top,complement(X_58)),X1),complement(join(meet(zero,X_58),complement(X1)))) )],[refute_0_482,refute_0_606]) ).
cnf(refute_0_608,plain,
meet(join(top,complement(X_58)),join(top,complement(X_58))) = meet(complement(meet(zero,X_58)),join(top,complement(X_58))),
inference(subst,[],[refute_0_607:[bind(X1,$fot(join(top,complement(X_58))))]]) ).
cnf(refute_0_609,plain,
( meet(join(top,complement(X_58)),join(top,complement(X_58))) != complement(composition(join(one,one),meet(zero,X_58)))
| meet(join(top,complement(X_58)),join(top,complement(X_58))) != meet(complement(meet(zero,X_58)),join(top,complement(X_58)))
| meet(complement(meet(zero,X_58)),join(top,complement(X_58))) = complement(composition(join(one,one),meet(zero,X_58))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(join(top,complement(X_58)),join(top,complement(X_58))),complement(composition(join(one,one),meet(zero,X_58)))) ),[0],$fot(meet(complement(meet(zero,X_58)),join(top,complement(X_58))))]]) ).
cnf(refute_0_610,plain,
( meet(join(top,complement(X_58)),join(top,complement(X_58))) != complement(composition(join(one,one),meet(zero,X_58)))
| meet(complement(meet(zero,X_58)),join(top,complement(X_58))) = complement(composition(join(one,one),meet(zero,X_58))) ),
inference(resolve,[$cnf( $equal(meet(join(top,complement(X_58)),join(top,complement(X_58))),meet(complement(meet(zero,X_58)),join(top,complement(X_58)))) )],[refute_0_608,refute_0_609]) ).
cnf(refute_0_611,plain,
meet(complement(meet(zero,X_58)),join(top,complement(X_58))) = complement(composition(join(one,one),meet(zero,X_58))),
inference(resolve,[$cnf( $equal(meet(join(top,complement(X_58)),join(top,complement(X_58))),complement(composition(join(one,one),meet(zero,X_58)))) )],[refute_0_478,refute_0_610]) ).
cnf(refute_0_612,plain,
join(zero,meet(complement(meet(zero,X_58)),join(top,complement(X_58)))) = join(zero,meet(complement(meet(zero,X_58)),join(top,complement(X_58)))),
introduced(tautology,[refl,[$fot(join(zero,meet(complement(meet(zero,X_58)),join(top,complement(X_58)))))]]) ).
cnf(refute_0_613,plain,
( join(zero,meet(complement(meet(zero,X_58)),join(top,complement(X_58)))) != join(zero,meet(complement(meet(zero,X_58)),join(top,complement(X_58))))
| meet(complement(meet(zero,X_58)),join(top,complement(X_58))) != complement(composition(join(one,one),meet(zero,X_58)))
| join(zero,meet(complement(meet(zero,X_58)),join(top,complement(X_58)))) = join(zero,complement(composition(join(one,one),meet(zero,X_58)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(complement(meet(zero,X_58)),join(top,complement(X_58)))),join(zero,meet(complement(meet(zero,X_58)),join(top,complement(X_58))))) ),[1,1],$fot(complement(composition(join(one,one),meet(zero,X_58))))]]) ).
cnf(refute_0_614,plain,
( meet(complement(meet(zero,X_58)),join(top,complement(X_58))) != complement(composition(join(one,one),meet(zero,X_58)))
| join(zero,meet(complement(meet(zero,X_58)),join(top,complement(X_58)))) = join(zero,complement(composition(join(one,one),meet(zero,X_58)))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(meet(zero,X_58)),join(top,complement(X_58)))),join(zero,meet(complement(meet(zero,X_58)),join(top,complement(X_58))))) )],[refute_0_612,refute_0_613]) ).
cnf(refute_0_615,plain,
join(zero,meet(complement(meet(zero,X_58)),join(top,complement(X_58)))) = join(zero,complement(composition(join(one,one),meet(zero,X_58)))),
inference(resolve,[$cnf( $equal(meet(complement(meet(zero,X_58)),join(top,complement(X_58))),complement(composition(join(one,one),meet(zero,X_58)))) )],[refute_0_611,refute_0_614]) ).
cnf(refute_0_616,plain,
( join(zero,complement(composition(join(one,one),meet(zero,X_58)))) != complement(meet(zero,X_58))
| join(zero,meet(complement(meet(zero,X_58)),join(top,complement(X_58)))) != join(zero,complement(composition(join(one,one),meet(zero,X_58))))
| join(zero,meet(complement(meet(zero,X_58)),join(top,complement(X_58)))) = complement(meet(zero,X_58)) ),
inference(subst,[],[refute_0_100:[bind(X,$fot(join(zero,meet(complement(meet(zero,X_58)),join(top,complement(X_58)))))),bind(Y,$fot(join(zero,complement(composition(join(one,one),meet(zero,X_58)))))),bind(Z,$fot(complement(meet(zero,X_58))))]]) ).
cnf(refute_0_617,plain,
( join(zero,complement(composition(join(one,one),meet(zero,X_58)))) != complement(meet(zero,X_58))
| join(zero,meet(complement(meet(zero,X_58)),join(top,complement(X_58)))) = complement(meet(zero,X_58)) ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(meet(zero,X_58)),join(top,complement(X_58)))),join(zero,complement(composition(join(one,one),meet(zero,X_58))))) )],[refute_0_615,refute_0_616]) ).
cnf(refute_0_618,plain,
join(zero,meet(complement(meet(zero,X_58)),join(top,complement(X_58)))) = complement(meet(zero,X_58)),
inference(resolve,[$cnf( $equal(join(zero,complement(composition(join(one,one),meet(zero,X_58)))),complement(meet(zero,X_58))) )],[refute_0_467,refute_0_617]) ).
cnf(refute_0_619,plain,
( join(top,complement(X_58)) != join(zero,meet(complement(meet(zero,X_58)),join(top,complement(X_58))))
| join(zero,meet(complement(meet(zero,X_58)),join(top,complement(X_58)))) != complement(meet(zero,X_58))
| join(top,complement(X_58)) = complement(meet(zero,X_58)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(top,complement(X_58)),complement(meet(zero,X_58))) ),[0],$fot(join(zero,meet(complement(meet(zero,X_58)),join(top,complement(X_58)))))]]) ).
cnf(refute_0_620,plain,
( join(top,complement(X_58)) != join(zero,meet(complement(meet(zero,X_58)),join(top,complement(X_58))))
| join(top,complement(X_58)) = complement(meet(zero,X_58)) ),
inference(resolve,[$cnf( $equal(join(zero,meet(complement(meet(zero,X_58)),join(top,complement(X_58)))),complement(meet(zero,X_58))) )],[refute_0_618,refute_0_619]) ).
cnf(refute_0_621,plain,
join(top,complement(X_58)) = complement(meet(zero,X_58)),
inference(resolve,[$cnf( $equal(join(top,complement(X_58)),join(zero,meet(complement(meet(zero,X_58)),join(top,complement(X_58))))) )],[refute_0_281,refute_0_620]) ).
cnf(refute_0_622,plain,
top = join(complement(X_14),join(complement(X_14),meet(X_14,X_14))),
inference(subst,[],[refute_0_165:[bind(X_15,$fot(X_14))]]) ).
cnf(refute_0_623,plain,
join(complement(X_83),meet(X_83,top)) = join(zero,meet(join(complement(X_83),meet(X_83,top)),join(zero,meet(top,join(complement(X_83),meet(X_83,top)))))),
inference(subst,[],[refute_0_203:[bind(X_45,$fot(join(complement(X_83),meet(X_83,top))))]]) ).
cnf(refute_0_624,plain,
top = join(meet(top,X_41),complement(join(complement(top),X_41))),
inference(subst,[],[refute_0_106:[bind(X0,$fot(top)),bind(X1,$fot(X_41))]]) ).
cnf(refute_0_625,plain,
meet(X_41,top) = meet(top,X_41),
inference(subst,[],[refute_0_247:[bind(X0,$fot(X_41))]]) ).
cnf(refute_0_626,plain,
( meet(X_41,top) != meet(top,X_41)
| meet(top,X_41) = meet(X_41,top) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(X_41,top))),bind(Y,$fot(meet(top,X_41)))]]) ).
cnf(refute_0_627,plain,
meet(top,X_41) = meet(X_41,top),
inference(resolve,[$cnf( $equal(meet(X_41,top),meet(top,X_41)) )],[refute_0_625,refute_0_626]) ).
cnf(refute_0_628,plain,
( meet(top,X_41) != meet(X_41,top)
| top != join(meet(top,X_41),complement(join(complement(top),X_41)))
| top = join(meet(X_41,top),complement(join(complement(top),X_41))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(meet(top,X_41),complement(join(complement(top),X_41)))) ),[1,0],$fot(meet(X_41,top))]]) ).
cnf(refute_0_629,plain,
( top != join(meet(top,X_41),complement(join(complement(top),X_41)))
| top = join(meet(X_41,top),complement(join(complement(top),X_41))) ),
inference(resolve,[$cnf( $equal(meet(top,X_41),meet(X_41,top)) )],[refute_0_627,refute_0_628]) ).
cnf(refute_0_630,plain,
top = join(meet(X_41,top),complement(join(complement(top),X_41))),
inference(resolve,[$cnf( $equal(top,join(meet(top,X_41),complement(join(complement(top),X_41)))) )],[refute_0_624,refute_0_629]) ).
cnf(refute_0_631,plain,
join(complement(top),X_41) = join(complement(top),X_41),
introduced(tautology,[refl,[$fot(join(complement(top),X_41))]]) ).
cnf(refute_0_632,plain,
( complement(top) != zero
| join(complement(top),X_41) != join(complement(top),X_41)
| join(complement(top),X_41) = join(zero,X_41) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),X_41),join(complement(top),X_41)) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_633,plain,
( complement(top) != zero
| join(complement(top),X_41) = join(zero,X_41) ),
inference(resolve,[$cnf( $equal(join(complement(top),X_41),join(complement(top),X_41)) )],[refute_0_631,refute_0_632]) ).
cnf(refute_0_634,plain,
join(complement(top),X_41) = join(zero,X_41),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_141,refute_0_633]) ).
cnf(refute_0_635,plain,
complement(join(complement(top),X_41)) = complement(join(complement(top),X_41)),
introduced(tautology,[refl,[$fot(complement(join(complement(top),X_41)))]]) ).
cnf(refute_0_636,plain,
( complement(join(complement(top),X_41)) != complement(join(complement(top),X_41))
| join(complement(top),X_41) != join(zero,X_41)
| complement(join(complement(top),X_41)) = complement(join(zero,X_41)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(top),X_41)),complement(join(complement(top),X_41))) ),[1,0],$fot(join(zero,X_41))]]) ).
cnf(refute_0_637,plain,
( join(complement(top),X_41) != join(zero,X_41)
| complement(join(complement(top),X_41)) = complement(join(zero,X_41)) ),
inference(resolve,[$cnf( $equal(complement(join(complement(top),X_41)),complement(join(complement(top),X_41))) )],[refute_0_635,refute_0_636]) ).
cnf(refute_0_638,plain,
complement(join(complement(top),X_41)) = complement(join(zero,X_41)),
inference(resolve,[$cnf( $equal(join(complement(top),X_41),join(zero,X_41)) )],[refute_0_634,refute_0_637]) ).
cnf(refute_0_639,plain,
join(meet(X_41,top),complement(join(complement(top),X_41))) = join(meet(X_41,top),complement(join(complement(top),X_41))),
introduced(tautology,[refl,[$fot(join(meet(X_41,top),complement(join(complement(top),X_41))))]]) ).
cnf(refute_0_640,plain,
( complement(join(complement(top),X_41)) != complement(join(zero,X_41))
| join(meet(X_41,top),complement(join(complement(top),X_41))) != join(meet(X_41,top),complement(join(complement(top),X_41)))
| join(meet(X_41,top),complement(join(complement(top),X_41))) = join(meet(X_41,top),complement(join(zero,X_41))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_41,top),complement(join(complement(top),X_41))),join(meet(X_41,top),complement(join(complement(top),X_41)))) ),[1,1],$fot(complement(join(zero,X_41)))]]) ).
cnf(refute_0_641,plain,
( complement(join(complement(top),X_41)) != complement(join(zero,X_41))
| join(meet(X_41,top),complement(join(complement(top),X_41))) = join(meet(X_41,top),complement(join(zero,X_41))) ),
inference(resolve,[$cnf( $equal(join(meet(X_41,top),complement(join(complement(top),X_41))),join(meet(X_41,top),complement(join(complement(top),X_41)))) )],[refute_0_639,refute_0_640]) ).
cnf(refute_0_642,plain,
join(meet(X_41,top),complement(join(complement(top),X_41))) = join(meet(X_41,top),complement(join(zero,X_41))),
inference(resolve,[$cnf( $equal(complement(join(complement(top),X_41)),complement(join(zero,X_41))) )],[refute_0_638,refute_0_641]) ).
cnf(refute_0_643,plain,
( join(meet(X_41,top),complement(join(complement(top),X_41))) != join(meet(X_41,top),complement(join(zero,X_41)))
| top != join(meet(X_41,top),complement(join(complement(top),X_41)))
| top = join(meet(X_41,top),complement(join(zero,X_41))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(meet(X_41,top),complement(join(complement(top),X_41)))) ),[1],$fot(join(meet(X_41,top),complement(join(zero,X_41))))]]) ).
cnf(refute_0_644,plain,
( top != join(meet(X_41,top),complement(join(complement(top),X_41)))
| top = join(meet(X_41,top),complement(join(zero,X_41))) ),
inference(resolve,[$cnf( $equal(join(meet(X_41,top),complement(join(complement(top),X_41))),join(meet(X_41,top),complement(join(zero,X_41)))) )],[refute_0_642,refute_0_643]) ).
cnf(refute_0_645,plain,
top = join(meet(X_41,top),complement(join(zero,X_41))),
inference(resolve,[$cnf( $equal(top,join(meet(X_41,top),complement(join(complement(top),X_41)))) )],[refute_0_630,refute_0_644]) ).
cnf(refute_0_646,plain,
top = join(meet(join(complement(X_76),meet(X_76,top)),top),complement(join(zero,join(complement(X_76),meet(X_76,top))))),
inference(subst,[],[refute_0_645:[bind(X_41,$fot(join(complement(X_76),meet(X_76,top))))]]) ).
cnf(refute_0_647,plain,
join(join(zero,meet(X_30,top)),complement(X_30)) = join(complement(X_30),join(zero,meet(X_30,top))),
inference(subst,[],[refute_0_4:[bind(X0,$fot(join(zero,meet(X_30,top)))),bind(X1,$fot(complement(X_30)))]]) ).
cnf(refute_0_648,plain,
top = join(complement(X_30),join(zero,meet(X_30,top))),
inference(subst,[],[refute_0_169:[bind(X_20,$fot(X_30))]]) ).
cnf(refute_0_649,plain,
( top != join(complement(X_30),join(zero,meet(X_30,top)))
| join(complement(X_30),join(zero,meet(X_30,top))) = top ),
inference(subst,[],[refute_0_7:[bind(X,$fot(top)),bind(Y,$fot(join(complement(X_30),join(zero,meet(X_30,top)))))]]) ).
cnf(refute_0_650,plain,
join(complement(X_30),join(zero,meet(X_30,top))) = top,
inference(resolve,[$cnf( $equal(top,join(complement(X_30),join(zero,meet(X_30,top)))) )],[refute_0_648,refute_0_649]) ).
cnf(refute_0_651,plain,
( join(complement(X_30),join(zero,meet(X_30,top))) != top
| join(join(zero,meet(X_30,top)),complement(X_30)) != join(complement(X_30),join(zero,meet(X_30,top)))
| join(join(zero,meet(X_30,top)),complement(X_30)) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(join(zero,meet(X_30,top)),complement(X_30)),join(complement(X_30),join(zero,meet(X_30,top)))) ),[1],$fot(top)]]) ).
cnf(refute_0_652,plain,
( join(join(zero,meet(X_30,top)),complement(X_30)) != join(complement(X_30),join(zero,meet(X_30,top)))
| join(join(zero,meet(X_30,top)),complement(X_30)) = top ),
inference(resolve,[$cnf( $equal(join(complement(X_30),join(zero,meet(X_30,top))),top) )],[refute_0_650,refute_0_651]) ).
cnf(refute_0_653,plain,
join(join(zero,meet(X_30,top)),complement(X_30)) = top,
inference(resolve,[$cnf( $equal(join(join(zero,meet(X_30,top)),complement(X_30)),join(complement(X_30),join(zero,meet(X_30,top)))) )],[refute_0_647,refute_0_652]) ).
cnf(refute_0_654,plain,
join(meet(X_30,top),complement(X_30)) = join(complement(X_30),meet(X_30,top)),
inference(subst,[],[refute_0_9:[bind(X0,$fot(complement(X_30))),bind(X1,$fot(meet(X_30,top)))]]) ).
cnf(refute_0_655,plain,
join(zero,join(meet(X_30,top),complement(X_30))) = join(zero,join(meet(X_30,top),complement(X_30))),
introduced(tautology,[refl,[$fot(join(zero,join(meet(X_30,top),complement(X_30))))]]) ).
cnf(refute_0_656,plain,
( join(meet(X_30,top),complement(X_30)) != join(complement(X_30),meet(X_30,top))
| join(zero,join(meet(X_30,top),complement(X_30))) != join(zero,join(meet(X_30,top),complement(X_30)))
| join(zero,join(meet(X_30,top),complement(X_30))) = join(zero,join(complement(X_30),meet(X_30,top))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,join(meet(X_30,top),complement(X_30))),join(zero,join(meet(X_30,top),complement(X_30)))) ),[1,1],$fot(join(complement(X_30),meet(X_30,top)))]]) ).
cnf(refute_0_657,plain,
( join(meet(X_30,top),complement(X_30)) != join(complement(X_30),meet(X_30,top))
| join(zero,join(meet(X_30,top),complement(X_30))) = join(zero,join(complement(X_30),meet(X_30,top))) ),
inference(resolve,[$cnf( $equal(join(zero,join(meet(X_30,top),complement(X_30))),join(zero,join(meet(X_30,top),complement(X_30)))) )],[refute_0_655,refute_0_656]) ).
cnf(refute_0_658,plain,
join(zero,join(meet(X_30,top),complement(X_30))) = join(zero,join(complement(X_30),meet(X_30,top))),
inference(resolve,[$cnf( $equal(join(meet(X_30,top),complement(X_30)),join(complement(X_30),meet(X_30,top))) )],[refute_0_654,refute_0_657]) ).
cnf(refute_0_659,plain,
join(join(zero,meet(X_30,top)),complement(X_30)) = join(zero,join(meet(X_30,top),complement(X_30))),
inference(subst,[],[refute_0_161:[bind(X0,$fot(zero)),bind(X1,$fot(meet(X_30,top))),bind(X2,$fot(complement(X_30)))]]) ).
cnf(refute_0_660,plain,
( join(join(zero,meet(X_30,top)),complement(X_30)) != join(zero,join(meet(X_30,top),complement(X_30)))
| join(zero,join(meet(X_30,top),complement(X_30))) != join(zero,join(complement(X_30),meet(X_30,top)))
| join(join(zero,meet(X_30,top)),complement(X_30)) = join(zero,join(complement(X_30),meet(X_30,top))) ),
inference(subst,[],[refute_0_100:[bind(X,$fot(join(join(zero,meet(X_30,top)),complement(X_30)))),bind(Y,$fot(join(zero,join(meet(X_30,top),complement(X_30))))),bind(Z,$fot(join(zero,join(complement(X_30),meet(X_30,top)))))]]) ).
cnf(refute_0_661,plain,
( join(zero,join(meet(X_30,top),complement(X_30))) != join(zero,join(complement(X_30),meet(X_30,top)))
| join(join(zero,meet(X_30,top)),complement(X_30)) = join(zero,join(complement(X_30),meet(X_30,top))) ),
inference(resolve,[$cnf( $equal(join(join(zero,meet(X_30,top)),complement(X_30)),join(zero,join(meet(X_30,top),complement(X_30)))) )],[refute_0_659,refute_0_660]) ).
cnf(refute_0_662,plain,
join(join(zero,meet(X_30,top)),complement(X_30)) = join(zero,join(complement(X_30),meet(X_30,top))),
inference(resolve,[$cnf( $equal(join(zero,join(meet(X_30,top),complement(X_30))),join(zero,join(complement(X_30),meet(X_30,top)))) )],[refute_0_658,refute_0_661]) ).
cnf(refute_0_663,plain,
( join(join(zero,meet(X_30,top)),complement(X_30)) != join(zero,join(complement(X_30),meet(X_30,top)))
| join(join(zero,meet(X_30,top)),complement(X_30)) != top
| join(zero,join(complement(X_30),meet(X_30,top))) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(join(zero,meet(X_30,top)),complement(X_30)),top) ),[0],$fot(join(zero,join(complement(X_30),meet(X_30,top))))]]) ).
cnf(refute_0_664,plain,
( join(join(zero,meet(X_30,top)),complement(X_30)) != top
| join(zero,join(complement(X_30),meet(X_30,top))) = top ),
inference(resolve,[$cnf( $equal(join(join(zero,meet(X_30,top)),complement(X_30)),join(zero,join(complement(X_30),meet(X_30,top)))) )],[refute_0_662,refute_0_663]) ).
cnf(refute_0_665,plain,
join(zero,join(complement(X_30),meet(X_30,top))) = top,
inference(resolve,[$cnf( $equal(join(join(zero,meet(X_30,top)),complement(X_30)),top) )],[refute_0_653,refute_0_664]) ).
cnf(refute_0_666,plain,
join(zero,join(complement(X_76),meet(X_76,top))) = top,
inference(subst,[],[refute_0_665:[bind(X_30,$fot(X_76))]]) ).
cnf(refute_0_667,plain,
( join(zero,join(complement(X_76),meet(X_76,top))) != top
| top != join(meet(join(complement(X_76),meet(X_76,top)),top),complement(join(zero,join(complement(X_76),meet(X_76,top)))))
| top = join(meet(join(complement(X_76),meet(X_76,top)),top),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(meet(join(complement(X_76),meet(X_76,top)),top),complement(join(zero,join(complement(X_76),meet(X_76,top)))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_0_668,plain,
( top != join(meet(join(complement(X_76),meet(X_76,top)),top),complement(join(zero,join(complement(X_76),meet(X_76,top)))))
| top = join(meet(join(complement(X_76),meet(X_76,top)),top),complement(top)) ),
inference(resolve,[$cnf( $equal(join(zero,join(complement(X_76),meet(X_76,top))),top) )],[refute_0_666,refute_0_667]) ).
cnf(refute_0_669,plain,
top = join(meet(join(complement(X_76),meet(X_76,top)),top),complement(top)),
inference(resolve,[$cnf( $equal(top,join(meet(join(complement(X_76),meet(X_76,top)),top),complement(join(zero,join(complement(X_76),meet(X_76,top)))))) )],[refute_0_646,refute_0_668]) ).
cnf(refute_0_670,plain,
meet(join(complement(X_76),meet(X_76,top)),top) = meet(top,join(complement(X_76),meet(X_76,top))),
inference(subst,[],[refute_0_247:[bind(X0,$fot(join(complement(X_76),meet(X_76,top))))]]) ).
cnf(refute_0_671,plain,
join(zero,meet(join(complement(X_76),meet(X_76,top)),top)) = join(zero,meet(join(complement(X_76),meet(X_76,top)),top)),
introduced(tautology,[refl,[$fot(join(zero,meet(join(complement(X_76),meet(X_76,top)),top)))]]) ).
cnf(refute_0_672,plain,
( join(zero,meet(join(complement(X_76),meet(X_76,top)),top)) != join(zero,meet(join(complement(X_76),meet(X_76,top)),top))
| meet(join(complement(X_76),meet(X_76,top)),top) != meet(top,join(complement(X_76),meet(X_76,top)))
| join(zero,meet(join(complement(X_76),meet(X_76,top)),top)) = join(zero,meet(top,join(complement(X_76),meet(X_76,top)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(join(complement(X_76),meet(X_76,top)),top)),join(zero,meet(join(complement(X_76),meet(X_76,top)),top))) ),[1,1],$fot(meet(top,join(complement(X_76),meet(X_76,top))))]]) ).
cnf(refute_0_673,plain,
( meet(join(complement(X_76),meet(X_76,top)),top) != meet(top,join(complement(X_76),meet(X_76,top)))
| join(zero,meet(join(complement(X_76),meet(X_76,top)),top)) = join(zero,meet(top,join(complement(X_76),meet(X_76,top)))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(join(complement(X_76),meet(X_76,top)),top)),join(zero,meet(join(complement(X_76),meet(X_76,top)),top))) )],[refute_0_671,refute_0_672]) ).
cnf(refute_0_674,plain,
join(zero,meet(join(complement(X_76),meet(X_76,top)),top)) = join(zero,meet(top,join(complement(X_76),meet(X_76,top)))),
inference(resolve,[$cnf( $equal(meet(join(complement(X_76),meet(X_76,top)),top),meet(top,join(complement(X_76),meet(X_76,top)))) )],[refute_0_670,refute_0_673]) ).
cnf(refute_0_675,plain,
join(complement(top),meet(join(complement(X_76),meet(X_76,top)),top)) = join(complement(top),meet(join(complement(X_76),meet(X_76,top)),top)),
introduced(tautology,[refl,[$fot(join(complement(top),meet(join(complement(X_76),meet(X_76,top)),top)))]]) ).
cnf(refute_0_676,plain,
( complement(top) != zero
| join(complement(top),meet(join(complement(X_76),meet(X_76,top)),top)) != join(complement(top),meet(join(complement(X_76),meet(X_76,top)),top))
| join(complement(top),meet(join(complement(X_76),meet(X_76,top)),top)) = join(zero,meet(join(complement(X_76),meet(X_76,top)),top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(join(complement(X_76),meet(X_76,top)),top)),join(complement(top),meet(join(complement(X_76),meet(X_76,top)),top))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_677,plain,
( complement(top) != zero
| join(complement(top),meet(join(complement(X_76),meet(X_76,top)),top)) = join(zero,meet(join(complement(X_76),meet(X_76,top)),top)) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(join(complement(X_76),meet(X_76,top)),top)),join(complement(top),meet(join(complement(X_76),meet(X_76,top)),top))) )],[refute_0_675,refute_0_676]) ).
cnf(refute_0_678,plain,
join(complement(top),meet(join(complement(X_76),meet(X_76,top)),top)) = join(zero,meet(join(complement(X_76),meet(X_76,top)),top)),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_141,refute_0_677]) ).
cnf(refute_0_679,plain,
( join(complement(top),meet(join(complement(X_76),meet(X_76,top)),top)) != join(zero,meet(join(complement(X_76),meet(X_76,top)),top))
| join(zero,meet(join(complement(X_76),meet(X_76,top)),top)) != join(zero,meet(top,join(complement(X_76),meet(X_76,top))))
| join(complement(top),meet(join(complement(X_76),meet(X_76,top)),top)) = join(zero,meet(top,join(complement(X_76),meet(X_76,top)))) ),
inference(subst,[],[refute_0_100:[bind(X,$fot(join(complement(top),meet(join(complement(X_76),meet(X_76,top)),top)))),bind(Y,$fot(join(zero,meet(join(complement(X_76),meet(X_76,top)),top)))),bind(Z,$fot(join(zero,meet(top,join(complement(X_76),meet(X_76,top))))))]]) ).
cnf(refute_0_680,plain,
( join(zero,meet(join(complement(X_76),meet(X_76,top)),top)) != join(zero,meet(top,join(complement(X_76),meet(X_76,top))))
| join(complement(top),meet(join(complement(X_76),meet(X_76,top)),top)) = join(zero,meet(top,join(complement(X_76),meet(X_76,top)))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(join(complement(X_76),meet(X_76,top)),top)),join(zero,meet(join(complement(X_76),meet(X_76,top)),top))) )],[refute_0_678,refute_0_679]) ).
cnf(refute_0_681,plain,
join(complement(top),meet(join(complement(X_76),meet(X_76,top)),top)) = join(zero,meet(top,join(complement(X_76),meet(X_76,top)))),
inference(resolve,[$cnf( $equal(join(zero,meet(join(complement(X_76),meet(X_76,top)),top)),join(zero,meet(top,join(complement(X_76),meet(X_76,top))))) )],[refute_0_674,refute_0_680]) ).
cnf(refute_0_682,plain,
join(meet(join(complement(X_76),meet(X_76,top)),top),complement(top)) = join(complement(top),meet(join(complement(X_76),meet(X_76,top)),top)),
inference(subst,[],[refute_0_9:[bind(X0,$fot(complement(top))),bind(X1,$fot(meet(join(complement(X_76),meet(X_76,top)),top)))]]) ).
cnf(refute_0_683,plain,
( join(complement(top),meet(join(complement(X_76),meet(X_76,top)),top)) != join(zero,meet(top,join(complement(X_76),meet(X_76,top))))
| join(meet(join(complement(X_76),meet(X_76,top)),top),complement(top)) != join(complement(top),meet(join(complement(X_76),meet(X_76,top)),top))
| join(meet(join(complement(X_76),meet(X_76,top)),top),complement(top)) = join(zero,meet(top,join(complement(X_76),meet(X_76,top)))) ),
inference(subst,[],[refute_0_100:[bind(X,$fot(join(meet(join(complement(X_76),meet(X_76,top)),top),complement(top)))),bind(Y,$fot(join(complement(top),meet(join(complement(X_76),meet(X_76,top)),top)))),bind(Z,$fot(join(zero,meet(top,join(complement(X_76),meet(X_76,top))))))]]) ).
cnf(refute_0_684,plain,
( join(complement(top),meet(join(complement(X_76),meet(X_76,top)),top)) != join(zero,meet(top,join(complement(X_76),meet(X_76,top))))
| join(meet(join(complement(X_76),meet(X_76,top)),top),complement(top)) = join(zero,meet(top,join(complement(X_76),meet(X_76,top)))) ),
inference(resolve,[$cnf( $equal(join(meet(join(complement(X_76),meet(X_76,top)),top),complement(top)),join(complement(top),meet(join(complement(X_76),meet(X_76,top)),top))) )],[refute_0_682,refute_0_683]) ).
cnf(refute_0_685,plain,
join(meet(join(complement(X_76),meet(X_76,top)),top),complement(top)) = join(zero,meet(top,join(complement(X_76),meet(X_76,top)))),
inference(resolve,[$cnf( $equal(join(complement(top),meet(join(complement(X_76),meet(X_76,top)),top)),join(zero,meet(top,join(complement(X_76),meet(X_76,top))))) )],[refute_0_681,refute_0_684]) ).
cnf(refute_0_686,plain,
( join(meet(join(complement(X_76),meet(X_76,top)),top),complement(top)) != join(zero,meet(top,join(complement(X_76),meet(X_76,top))))
| top != join(meet(join(complement(X_76),meet(X_76,top)),top),complement(top))
| top = join(zero,meet(top,join(complement(X_76),meet(X_76,top)))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(meet(join(complement(X_76),meet(X_76,top)),top),complement(top))) ),[1],$fot(join(zero,meet(top,join(complement(X_76),meet(X_76,top)))))]]) ).
cnf(refute_0_687,plain,
( top != join(meet(join(complement(X_76),meet(X_76,top)),top),complement(top))
| top = join(zero,meet(top,join(complement(X_76),meet(X_76,top)))) ),
inference(resolve,[$cnf( $equal(join(meet(join(complement(X_76),meet(X_76,top)),top),complement(top)),join(zero,meet(top,join(complement(X_76),meet(X_76,top))))) )],[refute_0_685,refute_0_686]) ).
cnf(refute_0_688,plain,
top = join(zero,meet(top,join(complement(X_76),meet(X_76,top)))),
inference(resolve,[$cnf( $equal(top,join(meet(join(complement(X_76),meet(X_76,top)),top),complement(top))) )],[refute_0_669,refute_0_687]) ).
cnf(refute_0_689,plain,
top = join(zero,meet(top,join(complement(X_83),meet(X_83,top)))),
inference(subst,[],[refute_0_688:[bind(X_76,$fot(X_83))]]) ).
cnf(refute_0_690,plain,
( top != join(zero,meet(top,join(complement(X_83),meet(X_83,top))))
| join(zero,meet(top,join(complement(X_83),meet(X_83,top)))) = top ),
inference(subst,[],[refute_0_7:[bind(X,$fot(top)),bind(Y,$fot(join(zero,meet(top,join(complement(X_83),meet(X_83,top))))))]]) ).
cnf(refute_0_691,plain,
join(zero,meet(top,join(complement(X_83),meet(X_83,top)))) = top,
inference(resolve,[$cnf( $equal(top,join(zero,meet(top,join(complement(X_83),meet(X_83,top))))) )],[refute_0_689,refute_0_690]) ).
cnf(refute_0_692,plain,
( join(complement(X_83),meet(X_83,top)) != join(zero,meet(join(complement(X_83),meet(X_83,top)),join(zero,meet(top,join(complement(X_83),meet(X_83,top))))))
| join(zero,meet(top,join(complement(X_83),meet(X_83,top)))) != top
| join(complement(X_83),meet(X_83,top)) = join(zero,meet(join(complement(X_83),meet(X_83,top)),top)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_83),meet(X_83,top)),join(zero,meet(join(complement(X_83),meet(X_83,top)),join(zero,meet(top,join(complement(X_83),meet(X_83,top))))))) ),[1,1,1],$fot(top)]]) ).
cnf(refute_0_693,plain,
( join(complement(X_83),meet(X_83,top)) != join(zero,meet(join(complement(X_83),meet(X_83,top)),join(zero,meet(top,join(complement(X_83),meet(X_83,top))))))
| join(complement(X_83),meet(X_83,top)) = join(zero,meet(join(complement(X_83),meet(X_83,top)),top)) ),
inference(resolve,[$cnf( $equal(join(zero,meet(top,join(complement(X_83),meet(X_83,top)))),top) )],[refute_0_691,refute_0_692]) ).
cnf(refute_0_694,plain,
join(complement(X_83),meet(X_83,top)) = join(zero,meet(join(complement(X_83),meet(X_83,top)),top)),
inference(resolve,[$cnf( $equal(join(complement(X_83),meet(X_83,top)),join(zero,meet(join(complement(X_83),meet(X_83,top)),join(zero,meet(top,join(complement(X_83),meet(X_83,top))))))) )],[refute_0_623,refute_0_693]) ).
cnf(refute_0_695,plain,
complement(meet(top,complement(X_74))) = join(zero,complement(complement(X_74))),
inference(subst,[],[refute_0_461:[bind(X_19,$fot(complement(X_74)))]]) ).
cnf(refute_0_696,plain,
meet(top,composition(complement(X_40),join(one,one))) = complement(X_40),
inference(subst,[],[refute_0_354:[bind(X_62,$fot(X_40))]]) ).
cnf(refute_0_697,plain,
complement(meet(top,composition(complement(X_40),join(one,one)))) = complement(meet(top,composition(complement(X_40),join(one,one)))),
introduced(tautology,[refl,[$fot(complement(meet(top,composition(complement(X_40),join(one,one)))))]]) ).
cnf(refute_0_698,plain,
( complement(meet(top,composition(complement(X_40),join(one,one)))) != complement(meet(top,composition(complement(X_40),join(one,one))))
| meet(top,composition(complement(X_40),join(one,one))) != complement(X_40)
| complement(meet(top,composition(complement(X_40),join(one,one)))) = complement(complement(X_40)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(top,composition(complement(X_40),join(one,one)))),complement(meet(top,composition(complement(X_40),join(one,one))))) ),[1,0],$fot(complement(X_40))]]) ).
cnf(refute_0_699,plain,
( meet(top,composition(complement(X_40),join(one,one))) != complement(X_40)
| complement(meet(top,composition(complement(X_40),join(one,one)))) = complement(complement(X_40)) ),
inference(resolve,[$cnf( $equal(complement(meet(top,composition(complement(X_40),join(one,one)))),complement(meet(top,composition(complement(X_40),join(one,one))))) )],[refute_0_697,refute_0_698]) ).
cnf(refute_0_700,plain,
complement(meet(top,composition(complement(X_40),join(one,one)))) = complement(complement(X_40)),
inference(resolve,[$cnf( $equal(meet(top,composition(complement(X_40),join(one,one))),complement(X_40)) )],[refute_0_696,refute_0_699]) ).
cnf(refute_0_701,plain,
join(zero,complement(composition(complement(X_40),join(one,one)))) = complement(meet(top,composition(complement(X_40),join(one,one)))),
inference(subst,[],[refute_0_463:[bind(X_19,$fot(composition(complement(X_40),join(one,one))))]]) ).
cnf(refute_0_702,plain,
( complement(meet(top,composition(complement(X_40),join(one,one)))) != complement(complement(X_40))
| join(zero,complement(composition(complement(X_40),join(one,one)))) != complement(meet(top,composition(complement(X_40),join(one,one))))
| join(zero,complement(composition(complement(X_40),join(one,one)))) = complement(complement(X_40)) ),
inference(subst,[],[refute_0_100:[bind(X,$fot(join(zero,complement(composition(complement(X_40),join(one,one)))))),bind(Y,$fot(complement(meet(top,composition(complement(X_40),join(one,one)))))),bind(Z,$fot(complement(complement(X_40))))]]) ).
cnf(refute_0_703,plain,
( complement(meet(top,composition(complement(X_40),join(one,one)))) != complement(complement(X_40))
| join(zero,complement(composition(complement(X_40),join(one,one)))) = complement(complement(X_40)) ),
inference(resolve,[$cnf( $equal(join(zero,complement(composition(complement(X_40),join(one,one)))),complement(meet(top,composition(complement(X_40),join(one,one))))) )],[refute_0_701,refute_0_702]) ).
cnf(refute_0_704,plain,
join(zero,complement(composition(complement(X_40),join(one,one)))) = complement(complement(X_40)),
inference(resolve,[$cnf( $equal(complement(meet(top,composition(complement(X_40),join(one,one)))),complement(complement(X_40))) )],[refute_0_700,refute_0_703]) ).
cnf(refute_0_705,plain,
( X_40 != join(zero,complement(composition(complement(X_40),join(one,one))))
| join(zero,complement(composition(complement(X_40),join(one,one)))) != complement(complement(X_40))
| X_40 = complement(complement(X_40)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_40,complement(complement(X_40))) ),[0],$fot(join(zero,complement(composition(complement(X_40),join(one,one)))))]]) ).
cnf(refute_0_706,plain,
( X_40 != join(zero,complement(composition(complement(X_40),join(one,one))))
| X_40 = complement(complement(X_40)) ),
inference(resolve,[$cnf( $equal(join(zero,complement(composition(complement(X_40),join(one,one)))),complement(complement(X_40))) )],[refute_0_704,refute_0_705]) ).
cnf(refute_0_707,plain,
X_40 = complement(complement(X_40)),
inference(resolve,[$cnf( $equal(X_40,join(zero,complement(composition(complement(X_40),join(one,one))))) )],[refute_0_348,refute_0_706]) ).
cnf(refute_0_708,plain,
X_74 = complement(complement(X_74)),
inference(subst,[],[refute_0_707:[bind(X_40,$fot(X_74))]]) ).
cnf(refute_0_709,plain,
( X_74 != complement(complement(X_74))
| complement(complement(X_74)) = X_74 ),
inference(subst,[],[refute_0_7:[bind(X,$fot(X_74)),bind(Y,$fot(complement(complement(X_74))))]]) ).
cnf(refute_0_710,plain,
complement(complement(X_74)) = X_74,
inference(resolve,[$cnf( $equal(X_74,complement(complement(X_74))) )],[refute_0_708,refute_0_709]) ).
cnf(refute_0_711,plain,
( complement(complement(X_74)) != X_74
| complement(meet(top,complement(X_74))) != join(zero,complement(complement(X_74)))
| complement(meet(top,complement(X_74))) = join(zero,X_74) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(top,complement(X_74))),join(zero,complement(complement(X_74)))) ),[1,1],$fot(X_74)]]) ).
cnf(refute_0_712,plain,
( complement(meet(top,complement(X_74))) != join(zero,complement(complement(X_74)))
| complement(meet(top,complement(X_74))) = join(zero,X_74) ),
inference(resolve,[$cnf( $equal(complement(complement(X_74)),X_74) )],[refute_0_710,refute_0_711]) ).
cnf(refute_0_713,plain,
complement(meet(top,complement(X_74))) = join(zero,X_74),
inference(resolve,[$cnf( $equal(complement(meet(top,complement(X_74))),join(zero,complement(complement(X_74)))) )],[refute_0_695,refute_0_712]) ).
cnf(refute_0_714,plain,
complement(meet(top,complement(meet(top,X_73)))) = join(zero,meet(top,X_73)),
inference(subst,[],[refute_0_713:[bind(X_74,$fot(meet(top,X_73)))]]) ).
cnf(refute_0_715,plain,
complement(meet(top,X_73)) = join(zero,complement(X_73)),
inference(subst,[],[refute_0_461:[bind(X_19,$fot(X_73))]]) ).
cnf(refute_0_716,plain,
meet(X_73,top) = meet(top,X_73),
inference(subst,[],[refute_0_197:[bind(X_14,$fot(X_73)),bind(X_15,$fot(top))]]) ).
cnf(refute_0_717,plain,
( meet(X_73,top) != meet(top,X_73)
| meet(top,X_73) = meet(X_73,top) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(X_73,top))),bind(Y,$fot(meet(top,X_73)))]]) ).
cnf(refute_0_718,plain,
meet(top,X_73) = meet(X_73,top),
inference(resolve,[$cnf( $equal(meet(X_73,top),meet(top,X_73)) )],[refute_0_716,refute_0_717]) ).
cnf(refute_0_719,plain,
( complement(meet(top,X_73)) != join(zero,complement(X_73))
| meet(top,X_73) != meet(X_73,top)
| complement(meet(X_73,top)) = join(zero,complement(X_73)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(top,X_73)),join(zero,complement(X_73))) ),[0,0],$fot(meet(X_73,top))]]) ).
cnf(refute_0_720,plain,
( complement(meet(top,X_73)) != join(zero,complement(X_73))
| complement(meet(X_73,top)) = join(zero,complement(X_73)) ),
inference(resolve,[$cnf( $equal(meet(top,X_73),meet(X_73,top)) )],[refute_0_718,refute_0_719]) ).
cnf(refute_0_721,plain,
complement(meet(X_73,top)) = join(zero,complement(X_73)),
inference(resolve,[$cnf( $equal(complement(meet(top,X_73)),join(zero,complement(X_73))) )],[refute_0_715,refute_0_720]) ).
cnf(refute_0_722,plain,
join(zero,complement(X_73)) = complement(meet(top,X_73)),
inference(subst,[],[refute_0_463:[bind(X_19,$fot(X_73))]]) ).
cnf(refute_0_723,plain,
( complement(meet(X_73,top)) != join(zero,complement(X_73))
| join(zero,complement(X_73)) != complement(meet(top,X_73))
| complement(meet(X_73,top)) = complement(meet(top,X_73)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(meet(X_73,top)),complement(meet(top,X_73))) ),[0],$fot(join(zero,complement(X_73)))]]) ).
cnf(refute_0_724,plain,
( complement(meet(X_73,top)) != join(zero,complement(X_73))
| complement(meet(X_73,top)) = complement(meet(top,X_73)) ),
inference(resolve,[$cnf( $equal(join(zero,complement(X_73)),complement(meet(top,X_73))) )],[refute_0_722,refute_0_723]) ).
cnf(refute_0_725,plain,
complement(meet(X_73,top)) = complement(meet(top,X_73)),
inference(resolve,[$cnf( $equal(complement(meet(X_73,top)),join(zero,complement(X_73))) )],[refute_0_721,refute_0_724]) ).
cnf(refute_0_726,plain,
( complement(meet(X_73,top)) != complement(meet(top,X_73))
| complement(meet(top,X_73)) = complement(meet(X_73,top)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(complement(meet(X_73,top)))),bind(Y,$fot(complement(meet(top,X_73))))]]) ).
cnf(refute_0_727,plain,
complement(meet(top,X_73)) = complement(meet(X_73,top)),
inference(resolve,[$cnf( $equal(complement(meet(X_73,top)),complement(meet(top,X_73))) )],[refute_0_725,refute_0_726]) ).
cnf(refute_0_728,plain,
( complement(meet(top,X_73)) != complement(meet(X_73,top))
| complement(meet(top,complement(meet(top,X_73)))) != join(zero,meet(top,X_73))
| complement(meet(top,complement(meet(X_73,top)))) = join(zero,meet(top,X_73)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(top,complement(meet(top,X_73)))),join(zero,meet(top,X_73))) ),[0,0,1],$fot(complement(meet(X_73,top)))]]) ).
cnf(refute_0_729,plain,
( complement(meet(top,complement(meet(top,X_73)))) != join(zero,meet(top,X_73))
| complement(meet(top,complement(meet(X_73,top)))) = join(zero,meet(top,X_73)) ),
inference(resolve,[$cnf( $equal(complement(meet(top,X_73)),complement(meet(X_73,top))) )],[refute_0_727,refute_0_728]) ).
cnf(refute_0_730,plain,
complement(meet(top,complement(meet(X_73,top)))) = join(zero,meet(top,X_73)),
inference(resolve,[$cnf( $equal(complement(meet(top,complement(meet(top,X_73)))),join(zero,meet(top,X_73))) )],[refute_0_714,refute_0_729]) ).
cnf(refute_0_731,plain,
complement(meet(top,complement(meet(X_73,top)))) = join(zero,meet(X_73,top)),
inference(subst,[],[refute_0_713:[bind(X_74,$fot(meet(X_73,top)))]]) ).
cnf(refute_0_732,plain,
( complement(meet(top,complement(meet(X_73,top)))) != join(zero,meet(X_73,top))
| complement(meet(top,complement(meet(X_73,top)))) != join(zero,meet(top,X_73))
| join(zero,meet(X_73,top)) = join(zero,meet(top,X_73)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(meet(top,complement(meet(X_73,top)))),join(zero,meet(top,X_73))) ),[0],$fot(join(zero,meet(X_73,top)))]]) ).
cnf(refute_0_733,plain,
( complement(meet(top,complement(meet(X_73,top)))) != join(zero,meet(top,X_73))
| join(zero,meet(X_73,top)) = join(zero,meet(top,X_73)) ),
inference(resolve,[$cnf( $equal(complement(meet(top,complement(meet(X_73,top)))),join(zero,meet(X_73,top))) )],[refute_0_731,refute_0_732]) ).
cnf(refute_0_734,plain,
join(zero,meet(X_73,top)) = join(zero,meet(top,X_73)),
inference(resolve,[$cnf( $equal(complement(meet(top,complement(meet(X_73,top)))),join(zero,meet(top,X_73))) )],[refute_0_730,refute_0_733]) ).
cnf(refute_0_735,plain,
join(zero,meet(join(complement(X_83),meet(X_83,top)),top)) = join(zero,meet(top,join(complement(X_83),meet(X_83,top)))),
inference(subst,[],[refute_0_734:[bind(X_73,$fot(join(complement(X_83),meet(X_83,top))))]]) ).
cnf(refute_0_736,plain,
( join(zero,meet(join(complement(X_83),meet(X_83,top)),top)) != join(zero,meet(top,join(complement(X_83),meet(X_83,top))))
| join(zero,meet(top,join(complement(X_83),meet(X_83,top)))) != top
| join(zero,meet(join(complement(X_83),meet(X_83,top)),top)) = top ),
inference(subst,[],[refute_0_100:[bind(X,$fot(join(zero,meet(join(complement(X_83),meet(X_83,top)),top)))),bind(Y,$fot(join(zero,meet(top,join(complement(X_83),meet(X_83,top)))))),bind(Z,$fot(top))]]) ).
cnf(refute_0_737,plain,
( join(zero,meet(top,join(complement(X_83),meet(X_83,top)))) != top
| join(zero,meet(join(complement(X_83),meet(X_83,top)),top)) = top ),
inference(resolve,[$cnf( $equal(join(zero,meet(join(complement(X_83),meet(X_83,top)),top)),join(zero,meet(top,join(complement(X_83),meet(X_83,top))))) )],[refute_0_735,refute_0_736]) ).
cnf(refute_0_738,plain,
join(zero,meet(join(complement(X_83),meet(X_83,top)),top)) = top,
inference(resolve,[$cnf( $equal(join(zero,meet(top,join(complement(X_83),meet(X_83,top)))),top) )],[refute_0_691,refute_0_737]) ).
cnf(refute_0_739,plain,
( join(complement(X_83),meet(X_83,top)) != join(zero,meet(join(complement(X_83),meet(X_83,top)),top))
| join(zero,meet(join(complement(X_83),meet(X_83,top)),top)) != top
| join(complement(X_83),meet(X_83,top)) = top ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(complement(X_83),meet(X_83,top)),top) ),[0],$fot(join(zero,meet(join(complement(X_83),meet(X_83,top)),top)))]]) ).
cnf(refute_0_740,plain,
( join(complement(X_83),meet(X_83,top)) != join(zero,meet(join(complement(X_83),meet(X_83,top)),top))
| join(complement(X_83),meet(X_83,top)) = top ),
inference(resolve,[$cnf( $equal(join(zero,meet(join(complement(X_83),meet(X_83,top)),top)),top) )],[refute_0_738,refute_0_739]) ).
cnf(refute_0_741,plain,
join(complement(X_83),meet(X_83,top)) = top,
inference(resolve,[$cnf( $equal(join(complement(X_83),meet(X_83,top)),join(zero,meet(join(complement(X_83),meet(X_83,top)),top))) )],[refute_0_694,refute_0_740]) ).
cnf(refute_0_742,plain,
join(complement(composition(join(one,one),complement(X1))),meet(composition(join(one,one),complement(X1)),top)) = top,
inference(subst,[],[refute_0_741:[bind(X_83,$fot(composition(join(one,one),complement(X1))))]]) ).
cnf(refute_0_743,plain,
( complement(composition(join(one,one),complement(X1))) != meet(X1,X1)
| join(complement(composition(join(one,one),complement(X1))),meet(composition(join(one,one),complement(X1)),top)) != top
| join(meet(X1,X1),meet(composition(join(one,one),complement(X1)),top)) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(composition(join(one,one),complement(X1))),meet(composition(join(one,one),complement(X1)),top)),top) ),[0,0],$fot(meet(X1,X1))]]) ).
cnf(refute_0_744,plain,
( join(complement(composition(join(one,one),complement(X1))),meet(composition(join(one,one),complement(X1)),top)) != top
| join(meet(X1,X1),meet(composition(join(one,one),complement(X1)),top)) = top ),
inference(resolve,[$cnf( $equal(complement(composition(join(one,one),complement(X1))),meet(X1,X1)) )],[refute_0_513,refute_0_743]) ).
cnf(refute_0_745,plain,
join(meet(X1,X1),meet(composition(join(one,one),complement(X1)),top)) = top,
inference(resolve,[$cnf( $equal(join(complement(composition(join(one,one),complement(X1))),meet(composition(join(one,one),complement(X1)),top)),top) )],[refute_0_742,refute_0_744]) ).
cnf(refute_0_746,plain,
join(meet(X1,X1),complement(X1)) = join(complement(X1),meet(X1,X1)),
inference(subst,[],[refute_0_9:[bind(X0,$fot(complement(X1))),bind(X1,$fot(meet(X1,X1)))]]) ).
cnf(refute_0_747,plain,
meet(composition(join(one,one),complement(X1)),top) = meet(top,composition(join(one,one),complement(X1))),
inference(subst,[],[refute_0_247:[bind(X0,$fot(composition(join(one,one),complement(X1))))]]) ).
cnf(refute_0_748,plain,
( meet(composition(join(one,one),complement(X1)),top) != meet(top,composition(join(one,one),complement(X1)))
| meet(top,composition(join(one,one),complement(X1))) != complement(X1)
| meet(composition(join(one,one),complement(X1)),top) = complement(X1) ),
inference(subst,[],[refute_0_100:[bind(X,$fot(meet(composition(join(one,one),complement(X1)),top))),bind(Y,$fot(meet(top,composition(join(one,one),complement(X1))))),bind(Z,$fot(complement(X1)))]]) ).
cnf(refute_0_749,plain,
( meet(top,composition(join(one,one),complement(X1))) != complement(X1)
| meet(composition(join(one,one),complement(X1)),top) = complement(X1) ),
inference(resolve,[$cnf( $equal(meet(composition(join(one,one),complement(X1)),top),meet(top,composition(join(one,one),complement(X1)))) )],[refute_0_747,refute_0_748]) ).
cnf(refute_0_750,plain,
meet(composition(join(one,one),complement(X1)),top) = complement(X1),
inference(resolve,[$cnf( $equal(meet(top,composition(join(one,one),complement(X1))),complement(X1)) )],[refute_0_545,refute_0_749]) ).
cnf(refute_0_751,plain,
join(meet(X1,X1),meet(composition(join(one,one),complement(X1)),top)) = join(meet(X1,X1),meet(composition(join(one,one),complement(X1)),top)),
introduced(tautology,[refl,[$fot(join(meet(X1,X1),meet(composition(join(one,one),complement(X1)),top)))]]) ).
cnf(refute_0_752,plain,
( join(meet(X1,X1),meet(composition(join(one,one),complement(X1)),top)) != join(meet(X1,X1),meet(composition(join(one,one),complement(X1)),top))
| meet(composition(join(one,one),complement(X1)),top) != complement(X1)
| join(meet(X1,X1),meet(composition(join(one,one),complement(X1)),top)) = join(meet(X1,X1),complement(X1)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X1,X1),meet(composition(join(one,one),complement(X1)),top)),join(meet(X1,X1),meet(composition(join(one,one),complement(X1)),top))) ),[1,1],$fot(complement(X1))]]) ).
cnf(refute_0_753,plain,
( meet(composition(join(one,one),complement(X1)),top) != complement(X1)
| join(meet(X1,X1),meet(composition(join(one,one),complement(X1)),top)) = join(meet(X1,X1),complement(X1)) ),
inference(resolve,[$cnf( $equal(join(meet(X1,X1),meet(composition(join(one,one),complement(X1)),top)),join(meet(X1,X1),meet(composition(join(one,one),complement(X1)),top))) )],[refute_0_751,refute_0_752]) ).
cnf(refute_0_754,plain,
join(meet(X1,X1),meet(composition(join(one,one),complement(X1)),top)) = join(meet(X1,X1),complement(X1)),
inference(resolve,[$cnf( $equal(meet(composition(join(one,one),complement(X1)),top),complement(X1)) )],[refute_0_750,refute_0_753]) ).
cnf(refute_0_755,plain,
( join(meet(X1,X1),complement(X1)) != join(complement(X1),meet(X1,X1))
| join(meet(X1,X1),meet(composition(join(one,one),complement(X1)),top)) != join(meet(X1,X1),complement(X1))
| join(meet(X1,X1),meet(composition(join(one,one),complement(X1)),top)) = join(complement(X1),meet(X1,X1)) ),
inference(subst,[],[refute_0_100:[bind(X,$fot(join(meet(X1,X1),meet(composition(join(one,one),complement(X1)),top)))),bind(Y,$fot(join(meet(X1,X1),complement(X1)))),bind(Z,$fot(join(complement(X1),meet(X1,X1))))]]) ).
cnf(refute_0_756,plain,
( join(meet(X1,X1),complement(X1)) != join(complement(X1),meet(X1,X1))
| join(meet(X1,X1),meet(composition(join(one,one),complement(X1)),top)) = join(complement(X1),meet(X1,X1)) ),
inference(resolve,[$cnf( $equal(join(meet(X1,X1),meet(composition(join(one,one),complement(X1)),top)),join(meet(X1,X1),complement(X1))) )],[refute_0_754,refute_0_755]) ).
cnf(refute_0_757,plain,
join(meet(X1,X1),meet(composition(join(one,one),complement(X1)),top)) = join(complement(X1),meet(X1,X1)),
inference(resolve,[$cnf( $equal(join(meet(X1,X1),complement(X1)),join(complement(X1),meet(X1,X1))) )],[refute_0_746,refute_0_756]) ).
cnf(refute_0_758,plain,
( join(meet(X1,X1),meet(composition(join(one,one),complement(X1)),top)) != join(complement(X1),meet(X1,X1))
| join(meet(X1,X1),meet(composition(join(one,one),complement(X1)),top)) != top
| join(complement(X1),meet(X1,X1)) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X1,X1),meet(composition(join(one,one),complement(X1)),top)),top) ),[0],$fot(join(complement(X1),meet(X1,X1)))]]) ).
cnf(refute_0_759,plain,
( join(meet(X1,X1),meet(composition(join(one,one),complement(X1)),top)) != top
| join(complement(X1),meet(X1,X1)) = top ),
inference(resolve,[$cnf( $equal(join(meet(X1,X1),meet(composition(join(one,one),complement(X1)),top)),join(complement(X1),meet(X1,X1))) )],[refute_0_757,refute_0_758]) ).
cnf(refute_0_760,plain,
join(complement(X1),meet(X1,X1)) = top,
inference(resolve,[$cnf( $equal(join(meet(X1,X1),meet(composition(join(one,one),complement(X1)),top)),top) )],[refute_0_745,refute_0_759]) ).
cnf(refute_0_761,plain,
join(complement(X_14),meet(X_14,X_14)) = top,
inference(subst,[],[refute_0_760:[bind(X1,$fot(X_14))]]) ).
cnf(refute_0_762,plain,
( join(complement(X_14),meet(X_14,X_14)) != top
| top != join(complement(X_14),join(complement(X_14),meet(X_14,X_14)))
| top = join(complement(X_14),top) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(X_14),join(complement(X_14),meet(X_14,X_14)))) ),[1,1],$fot(top)]]) ).
cnf(refute_0_763,plain,
( top != join(complement(X_14),join(complement(X_14),meet(X_14,X_14)))
| top = join(complement(X_14),top) ),
inference(resolve,[$cnf( $equal(join(complement(X_14),meet(X_14,X_14)),top) )],[refute_0_761,refute_0_762]) ).
cnf(refute_0_764,plain,
top = join(complement(X_14),top),
inference(resolve,[$cnf( $equal(top,join(complement(X_14),join(complement(X_14),meet(X_14,X_14)))) )],[refute_0_622,refute_0_763]) ).
cnf(refute_0_765,plain,
join(top,complement(X_14)) = complement(meet(zero,X_14)),
inference(subst,[],[refute_0_621:[bind(X_58,$fot(X_14))]]) ).
cnf(refute_0_766,plain,
join(complement(X_14),top) = join(top,complement(X_14)),
inference(subst,[],[refute_0_9:[bind(X0,$fot(top)),bind(X1,$fot(complement(X_14)))]]) ).
cnf(refute_0_767,plain,
( join(complement(X_14),top) != join(top,complement(X_14))
| join(top,complement(X_14)) != complement(meet(zero,X_14))
| join(complement(X_14),top) = complement(meet(zero,X_14)) ),
inference(subst,[],[refute_0_100:[bind(X,$fot(join(complement(X_14),top))),bind(Y,$fot(join(top,complement(X_14)))),bind(Z,$fot(complement(meet(zero,X_14))))]]) ).
cnf(refute_0_768,plain,
( join(top,complement(X_14)) != complement(meet(zero,X_14))
| join(complement(X_14),top) = complement(meet(zero,X_14)) ),
inference(resolve,[$cnf( $equal(join(complement(X_14),top),join(top,complement(X_14))) )],[refute_0_766,refute_0_767]) ).
cnf(refute_0_769,plain,
join(complement(X_14),top) = complement(meet(zero,X_14)),
inference(resolve,[$cnf( $equal(join(top,complement(X_14)),complement(meet(zero,X_14))) )],[refute_0_765,refute_0_768]) ).
cnf(refute_0_770,plain,
( join(complement(X_14),top) != complement(meet(zero,X_14))
| top != join(complement(X_14),top)
| top = complement(meet(zero,X_14)) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(X_14),top)) ),[1],$fot(complement(meet(zero,X_14)))]]) ).
cnf(refute_0_771,plain,
( top != join(complement(X_14),top)
| top = complement(meet(zero,X_14)) ),
inference(resolve,[$cnf( $equal(join(complement(X_14),top),complement(meet(zero,X_14))) )],[refute_0_769,refute_0_770]) ).
cnf(refute_0_772,plain,
top = complement(meet(zero,X_14)),
inference(resolve,[$cnf( $equal(top,join(complement(X_14),top)) )],[refute_0_764,refute_0_771]) ).
cnf(refute_0_773,plain,
( top != complement(meet(zero,X_14))
| complement(meet(zero,X_14)) = top ),
inference(subst,[],[refute_0_7:[bind(X,$fot(top)),bind(Y,$fot(complement(meet(zero,X_14))))]]) ).
cnf(refute_0_774,plain,
complement(meet(zero,X_14)) = top,
inference(resolve,[$cnf( $equal(top,complement(meet(zero,X_14))) )],[refute_0_772,refute_0_773]) ).
cnf(refute_0_775,plain,
complement(meet(zero,X_58)) = top,
inference(subst,[],[refute_0_774:[bind(X_14,$fot(X_58))]]) ).
cnf(refute_0_776,plain,
( complement(meet(zero,X_58)) != top
| join(top,complement(X_58)) != complement(meet(zero,X_58))
| join(top,complement(X_58)) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(top,complement(X_58)),complement(meet(zero,X_58))) ),[1],$fot(top)]]) ).
cnf(refute_0_777,plain,
( join(top,complement(X_58)) != complement(meet(zero,X_58))
| join(top,complement(X_58)) = top ),
inference(resolve,[$cnf( $equal(complement(meet(zero,X_58)),top) )],[refute_0_775,refute_0_776]) ).
cnf(refute_0_778,plain,
join(top,complement(X_58)) = top,
inference(resolve,[$cnf( $equal(join(top,complement(X_58)),complement(meet(zero,X_58))) )],[refute_0_621,refute_0_777]) ).
cnf(refute_0_779,plain,
join(top,complement(complement(X_101))) = top,
inference(subst,[],[refute_0_778:[bind(X_58,$fot(complement(X_101)))]]) ).
cnf(refute_0_780,plain,
( join(X_101,top) != join(top,complement(complement(X_101)))
| join(top,complement(complement(X_101))) != top
| join(X_101,top) = top ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_101,top),top) ),[0],$fot(join(top,complement(complement(X_101))))]]) ).
cnf(refute_0_781,plain,
( join(X_101,top) != join(top,complement(complement(X_101)))
| join(X_101,top) = top ),
inference(resolve,[$cnf( $equal(join(top,complement(complement(X_101))),top) )],[refute_0_779,refute_0_780]) ).
cnf(refute_0_782,plain,
join(X_101,top) = top,
inference(resolve,[$cnf( $equal(join(X_101,top),join(top,complement(complement(X_101)))) )],[refute_0_85,refute_0_781]) ).
cnf(refute_0_783,plain,
join(X_102,top) = top,
inference(subst,[],[refute_0_782:[bind(X_101,$fot(X_102))]]) ).
cnf(refute_0_784,plain,
( join(X_102,top) != top
| join(top,X_102) != join(X_102,top)
| join(top,X_102) = top ),
introduced(tautology,[equality,[$cnf( $equal(join(top,X_102),join(X_102,top)) ),[1],$fot(top)]]) ).
cnf(refute_0_785,plain,
( join(top,X_102) != join(X_102,top)
| join(top,X_102) = top ),
inference(resolve,[$cnf( $equal(join(X_102,top),top) )],[refute_0_783,refute_0_784]) ).
cnf(refute_0_786,plain,
( join(X_101,join(complement(X_101),X_102)) != join(X_102,top)
| join(top,X_102) = top ),
inference(resolve,[$cnf( $equal(join(top,X_102),join(X_102,top)) )],[refute_0_78,refute_0_785]) ).
cnf(refute_0_787,plain,
join(top,X_102) = top,
inference(resolve,[$cnf( $equal(join(X_101,join(complement(X_101),X_102)),join(X_102,top)) )],[refute_0_76,refute_0_786]) ).
cnf(refute_0_788,plain,
join(top,composition(X_31,top)) = top,
inference(subst,[],[refute_0_787:[bind(X_102,$fot(composition(X_31,top)))]]) ).
cnf(refute_0_789,plain,
( composition(join(X_31,one),top) != join(top,composition(X_31,top))
| join(top,composition(X_31,top)) != top
| composition(join(X_31,one),top) = top ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(X_31,one),top),top) ),[0],$fot(join(top,composition(X_31,top)))]]) ).
cnf(refute_0_790,plain,
( composition(join(X_31,one),top) != join(top,composition(X_31,top))
| composition(join(X_31,one),top) = top ),
inference(resolve,[$cnf( $equal(join(top,composition(X_31,top)),top) )],[refute_0_788,refute_0_789]) ).
cnf(refute_0_791,plain,
composition(join(X_31,one),top) = top,
inference(resolve,[$cnf( $equal(composition(join(X_31,one),top),join(top,composition(X_31,top))) )],[refute_0_60,refute_0_790]) ).
cnf(refute_0_792,plain,
composition(join(top,one),top) = top,
inference(subst,[],[refute_0_791:[bind(X_31,$fot(top))]]) ).
cnf(refute_0_793,plain,
join(top,one) = top,
inference(subst,[],[refute_0_787:[bind(X_102,$fot(one))]]) ).
cnf(refute_0_794,plain,
( composition(join(top,one),top) != top
| join(top,one) != top
| composition(top,top) = top ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(top,one),top),top) ),[0,0],$fot(top)]]) ).
cnf(refute_0_795,plain,
( composition(join(top,one),top) != top
| composition(top,top) = top ),
inference(resolve,[$cnf( $equal(join(top,one),top) )],[refute_0_793,refute_0_794]) ).
cnf(refute_0_796,plain,
composition(top,top) = top,
inference(resolve,[$cnf( $equal(composition(join(top,one),top),top) )],[refute_0_792,refute_0_795]) ).
cnf(refute_0_797,plain,
( composition(top,composition(top,X2)) != composition(composition(top,top),X2)
| composition(top,top) != top
| composition(top,composition(top,X2)) = composition(top,X2) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,composition(top,X2)),composition(composition(top,top),X2)) ),[1,0],$fot(top)]]) ).
cnf(refute_0_798,plain,
( composition(top,composition(top,X2)) != composition(composition(top,top),X2)
| composition(top,composition(top,X2)) = composition(top,X2) ),
inference(resolve,[$cnf( $equal(composition(top,top),top) )],[refute_0_796,refute_0_797]) ).
cnf(refute_0_799,plain,
composition(top,composition(top,X2)) = composition(top,X2),
inference(resolve,[$cnf( $equal(composition(top,composition(top,X2)),composition(composition(top,top),X2)) )],[refute_0_16,refute_0_798]) ).
cnf(refute_0_800,plain,
composition(top,composition(top,X_166)) = composition(top,X_166),
inference(subst,[],[refute_0_799:[bind(X2,$fot(X_166))]]) ).
cnf(refute_0_801,plain,
( composition(top,composition(top,X_166)) != composition(top,X_166)
| join(complement(composition(top,X_166)),composition(converse(top),complement(composition(top,composition(top,X_166))))) != complement(composition(top,X_166))
| join(complement(composition(top,X_166)),composition(converse(top),complement(composition(top,X_166)))) = complement(composition(top,X_166)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(composition(top,X_166)),composition(converse(top),complement(composition(top,composition(top,X_166))))),complement(composition(top,X_166))) ),[0,1,1,0],$fot(composition(top,X_166))]]) ).
cnf(refute_0_802,plain,
( join(complement(composition(top,X_166)),composition(converse(top),complement(composition(top,composition(top,X_166))))) != complement(composition(top,X_166))
| join(complement(composition(top,X_166)),composition(converse(top),complement(composition(top,X_166)))) = complement(composition(top,X_166)) ),
inference(resolve,[$cnf( $equal(composition(top,composition(top,X_166)),composition(top,X_166)) )],[refute_0_800,refute_0_801]) ).
cnf(refute_0_803,plain,
join(complement(composition(top,X_166)),composition(converse(top),complement(composition(top,X_166)))) = complement(composition(top,X_166)),
inference(resolve,[$cnf( $equal(join(complement(composition(top,X_166)),composition(converse(top),complement(composition(top,composition(top,X_166))))),complement(composition(top,X_166))) )],[refute_0_14,refute_0_802]) ).
cnf(refute_0_804,plain,
top = join(converse(top),complement(converse(top))),
inference(subst,[],[refute_0_63:[bind(X0,$fot(converse(top)))]]) ).
cnf(refute_0_805,plain,
converse(join(X_22,converse(X0))) = join(converse(X_22),converse(converse(X0))),
inference(subst,[],[refute_0_304:[bind(X0,$fot(X_22)),bind(X1,$fot(converse(X0)))]]) ).
cnf(refute_0_806,plain,
( converse(converse(X0)) != X0
| converse(join(X_22,converse(X0))) != join(converse(X_22),converse(converse(X0)))
| converse(join(X_22,converse(X0))) = join(converse(X_22),X0) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X_22,converse(X0))),join(converse(X_22),converse(converse(X0)))) ),[1,1],$fot(X0)]]) ).
cnf(refute_0_807,plain,
( converse(join(X_22,converse(X0))) != join(converse(X_22),converse(converse(X0)))
| converse(join(X_22,converse(X0))) = join(converse(X_22),X0) ),
inference(resolve,[$cnf( $equal(converse(converse(X0)),X0) )],[refute_0_1,refute_0_806]) ).
cnf(refute_0_808,plain,
converse(join(X_22,converse(X0))) = join(converse(X_22),X0),
inference(resolve,[$cnf( $equal(converse(join(X_22,converse(X0))),join(converse(X_22),converse(converse(X0)))) )],[refute_0_805,refute_0_807]) ).
cnf(refute_0_809,plain,
converse(join(top,converse(X0))) = join(converse(top),X0),
inference(subst,[],[refute_0_808:[bind(X_22,$fot(top))]]) ).
cnf(refute_0_810,plain,
join(top,converse(X0)) = top,
inference(subst,[],[refute_0_787:[bind(X_102,$fot(converse(X0)))]]) ).
cnf(refute_0_811,plain,
( converse(join(top,converse(X0))) != join(converse(top),X0)
| join(top,converse(X0)) != top
| converse(top) = join(converse(top),X0) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(top,converse(X0))),join(converse(top),X0)) ),[0,0],$fot(top)]]) ).
cnf(refute_0_812,plain,
( converse(join(top,converse(X0))) != join(converse(top),X0)
| converse(top) = join(converse(top),X0) ),
inference(resolve,[$cnf( $equal(join(top,converse(X0)),top) )],[refute_0_810,refute_0_811]) ).
cnf(refute_0_813,plain,
converse(top) = join(converse(top),X0),
inference(resolve,[$cnf( $equal(converse(join(top,converse(X0))),join(converse(top),X0)) )],[refute_0_809,refute_0_812]) ).
cnf(refute_0_814,plain,
converse(top) = join(converse(top),complement(converse(top))),
inference(subst,[],[refute_0_813:[bind(X0,$fot(complement(converse(top))))]]) ).
cnf(refute_0_815,plain,
( converse(top) != join(converse(top),complement(converse(top)))
| join(converse(top),complement(converse(top))) = converse(top) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(converse(top))),bind(Y,$fot(join(converse(top),complement(converse(top)))))]]) ).
cnf(refute_0_816,plain,
join(converse(top),complement(converse(top))) = converse(top),
inference(resolve,[$cnf( $equal(converse(top),join(converse(top),complement(converse(top)))) )],[refute_0_814,refute_0_815]) ).
cnf(refute_0_817,plain,
( join(converse(top),complement(converse(top))) != converse(top)
| top != join(converse(top),complement(converse(top)))
| top = converse(top) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(converse(top),complement(converse(top)))) ),[1],$fot(converse(top))]]) ).
cnf(refute_0_818,plain,
( top != join(converse(top),complement(converse(top)))
| top = converse(top) ),
inference(resolve,[$cnf( $equal(join(converse(top),complement(converse(top))),converse(top)) )],[refute_0_816,refute_0_817]) ).
cnf(refute_0_819,plain,
top = converse(top),
inference(resolve,[$cnf( $equal(top,join(converse(top),complement(converse(top)))) )],[refute_0_804,refute_0_818]) ).
cnf(refute_0_820,plain,
( top != converse(top)
| converse(top) = top ),
inference(subst,[],[refute_0_7:[bind(X,$fot(top)),bind(Y,$fot(converse(top)))]]) ).
cnf(refute_0_821,plain,
converse(top) = top,
inference(resolve,[$cnf( $equal(top,converse(top)) )],[refute_0_819,refute_0_820]) ).
cnf(refute_0_822,plain,
join(one,top) = top,
inference(subst,[],[refute_0_782:[bind(X_101,$fot(one))]]) ).
cnf(refute_0_823,plain,
converse(join(one,top)) = converse(join(one,top)),
introduced(tautology,[refl,[$fot(converse(join(one,top)))]]) ).
cnf(refute_0_824,plain,
( converse(join(one,top)) != converse(join(one,top))
| join(one,top) != top
| converse(join(one,top)) = converse(top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,top)),converse(join(one,top))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_825,plain,
( join(one,top) != top
| converse(join(one,top)) = converse(top) ),
inference(resolve,[$cnf( $equal(converse(join(one,top)),converse(join(one,top))) )],[refute_0_823,refute_0_824]) ).
cnf(refute_0_826,plain,
converse(join(one,top)) = converse(top),
inference(resolve,[$cnf( $equal(join(one,top),top) )],[refute_0_822,refute_0_825]) ).
cnf(refute_0_827,plain,
( converse(join(one,top)) != converse(top)
| converse(top) != top
| converse(join(one,top)) = top ),
inference(subst,[],[refute_0_100:[bind(X,$fot(converse(join(one,top)))),bind(Y,$fot(converse(top))),bind(Z,$fot(top))]]) ).
cnf(refute_0_828,plain,
( converse(top) != top
| converse(join(one,top)) = top ),
inference(resolve,[$cnf( $equal(converse(join(one,top)),converse(top)) )],[refute_0_826,refute_0_827]) ).
cnf(refute_0_829,plain,
converse(join(one,top)) = top,
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_821,refute_0_828]) ).
cnf(refute_0_830,plain,
converse(join(X_24,one)) = join(one,converse(X_24)),
inference(subst,[],[refute_0_322:[bind(X_22,$fot(X_24))]]) ).
cnf(refute_0_831,plain,
join(one,X_24) = join(X_24,one),
inference(subst,[],[refute_0_4:[bind(X0,$fot(one)),bind(X1,$fot(X_24))]]) ).
cnf(refute_0_832,plain,
( join(one,X_24) != join(X_24,one)
| join(X_24,one) = join(one,X_24) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(one,X_24))),bind(Y,$fot(join(X_24,one)))]]) ).
cnf(refute_0_833,plain,
join(X_24,one) = join(one,X_24),
inference(resolve,[$cnf( $equal(join(one,X_24),join(X_24,one)) )],[refute_0_831,refute_0_832]) ).
cnf(refute_0_834,plain,
( converse(join(X_24,one)) != join(one,converse(X_24))
| join(X_24,one) != join(one,X_24)
| converse(join(one,X_24)) = join(one,converse(X_24)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(X_24,one)),join(one,converse(X_24))) ),[0,0],$fot(join(one,X_24))]]) ).
cnf(refute_0_835,plain,
( converse(join(X_24,one)) != join(one,converse(X_24))
| converse(join(one,X_24)) = join(one,converse(X_24)) ),
inference(resolve,[$cnf( $equal(join(X_24,one),join(one,X_24)) )],[refute_0_833,refute_0_834]) ).
cnf(refute_0_836,plain,
converse(join(one,X_24)) = join(one,converse(X_24)),
inference(resolve,[$cnf( $equal(converse(join(X_24,one)),join(one,converse(X_24))) )],[refute_0_830,refute_0_835]) ).
cnf(refute_0_837,plain,
( converse(join(X_22,one)) != join(one,converse(X_22))
| join(one,converse(X_22)) = converse(join(X_22,one)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(converse(join(X_22,one)))),bind(Y,$fot(join(one,converse(X_22))))]]) ).
cnf(refute_0_838,plain,
join(one,converse(X_22)) = converse(join(X_22,one)),
inference(resolve,[$cnf( $equal(converse(join(X_22,one)),join(one,converse(X_22))) )],[refute_0_322,refute_0_837]) ).
cnf(refute_0_839,plain,
join(one,converse(X_24)) = converse(join(X_24,one)),
inference(subst,[],[refute_0_838:[bind(X_22,$fot(X_24))]]) ).
cnf(refute_0_840,plain,
( converse(join(one,X_24)) != join(one,converse(X_24))
| join(one,converse(X_24)) != converse(join(X_24,one))
| converse(join(one,X_24)) = converse(join(X_24,one)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(join(one,X_24)),converse(join(X_24,one))) ),[0],$fot(join(one,converse(X_24)))]]) ).
cnf(refute_0_841,plain,
( converse(join(one,X_24)) != join(one,converse(X_24))
| converse(join(one,X_24)) = converse(join(X_24,one)) ),
inference(resolve,[$cnf( $equal(join(one,converse(X_24)),converse(join(X_24,one))) )],[refute_0_839,refute_0_840]) ).
cnf(refute_0_842,plain,
converse(join(one,X_24)) = converse(join(X_24,one)),
inference(resolve,[$cnf( $equal(converse(join(one,X_24)),join(one,converse(X_24))) )],[refute_0_836,refute_0_841]) ).
cnf(refute_0_843,plain,
( converse(join(one,X_24)) != converse(join(X_24,one))
| converse(join(X_24,one)) = converse(join(one,X_24)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(converse(join(one,X_24)))),bind(Y,$fot(converse(join(X_24,one))))]]) ).
cnf(refute_0_844,plain,
converse(join(X_24,one)) = converse(join(one,X_24)),
inference(resolve,[$cnf( $equal(converse(join(one,X_24)),converse(join(X_24,one))) )],[refute_0_842,refute_0_843]) ).
cnf(refute_0_845,plain,
converse(join(top,one)) = converse(join(one,top)),
inference(subst,[],[refute_0_844:[bind(X_24,$fot(top))]]) ).
cnf(refute_0_846,plain,
join(one,converse(top)) = converse(join(top,one)),
inference(subst,[],[refute_0_838:[bind(X_22,$fot(top))]]) ).
cnf(refute_0_847,plain,
( converse(join(top,one)) != converse(join(one,top))
| join(one,converse(top)) != converse(join(top,one))
| join(one,converse(top)) = converse(join(one,top)) ),
inference(subst,[],[refute_0_100:[bind(X,$fot(join(one,converse(top)))),bind(Y,$fot(converse(join(top,one)))),bind(Z,$fot(converse(join(one,top))))]]) ).
cnf(refute_0_848,plain,
( converse(join(top,one)) != converse(join(one,top))
| join(one,converse(top)) = converse(join(one,top)) ),
inference(resolve,[$cnf( $equal(join(one,converse(top)),converse(join(top,one))) )],[refute_0_846,refute_0_847]) ).
cnf(refute_0_849,plain,
join(one,converse(top)) = converse(join(one,top)),
inference(resolve,[$cnf( $equal(converse(join(top,one)),converse(join(one,top))) )],[refute_0_845,refute_0_848]) ).
cnf(refute_0_850,plain,
( converse(join(one,top)) != top
| join(one,converse(top)) != converse(join(one,top))
| join(one,converse(top)) = top ),
inference(subst,[],[refute_0_100:[bind(X,$fot(join(one,converse(top)))),bind(Y,$fot(converse(join(one,top)))),bind(Z,$fot(top))]]) ).
cnf(refute_0_851,plain,
( converse(join(one,top)) != top
| join(one,converse(top)) = top ),
inference(resolve,[$cnf( $equal(join(one,converse(top)),converse(join(one,top))) )],[refute_0_849,refute_0_850]) ).
cnf(refute_0_852,plain,
join(one,converse(top)) = top,
inference(resolve,[$cnf( $equal(converse(join(one,top)),top) )],[refute_0_829,refute_0_851]) ).
cnf(refute_0_853,plain,
composition(join(one,converse(top)),complement(composition(top,X_166))) = composition(join(one,converse(top)),complement(composition(top,X_166))),
introduced(tautology,[refl,[$fot(composition(join(one,converse(top)),complement(composition(top,X_166))))]]) ).
cnf(refute_0_854,plain,
( composition(join(one,converse(top)),complement(composition(top,X_166))) != composition(join(one,converse(top)),complement(composition(top,X_166)))
| join(one,converse(top)) != top
| composition(join(one,converse(top)),complement(composition(top,X_166))) = composition(top,complement(composition(top,X_166))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,converse(top)),complement(composition(top,X_166))),composition(join(one,converse(top)),complement(composition(top,X_166)))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_855,plain,
( join(one,converse(top)) != top
| composition(join(one,converse(top)),complement(composition(top,X_166))) = composition(top,complement(composition(top,X_166))) ),
inference(resolve,[$cnf( $equal(composition(join(one,converse(top)),complement(composition(top,X_166))),composition(join(one,converse(top)),complement(composition(top,X_166)))) )],[refute_0_853,refute_0_854]) ).
cnf(refute_0_856,plain,
composition(join(one,converse(top)),complement(composition(top,X_166))) = composition(top,complement(composition(top,X_166))),
inference(resolve,[$cnf( $equal(join(one,converse(top)),top) )],[refute_0_852,refute_0_855]) ).
cnf(refute_0_857,plain,
composition(join(X_34,one),X_35) = join(X_35,composition(X_34,X_35)),
inference(subst,[],[refute_0_59:[bind(X_31,$fot(X_34)),bind(X_33,$fot(X_35))]]) ).
cnf(refute_0_858,plain,
join(one,X_34) = join(X_34,one),
inference(subst,[],[refute_0_4:[bind(X0,$fot(one)),bind(X1,$fot(X_34))]]) ).
cnf(refute_0_859,plain,
( join(one,X_34) != join(X_34,one)
| join(X_34,one) = join(one,X_34) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(one,X_34))),bind(Y,$fot(join(X_34,one)))]]) ).
cnf(refute_0_860,plain,
join(X_34,one) = join(one,X_34),
inference(resolve,[$cnf( $equal(join(one,X_34),join(X_34,one)) )],[refute_0_858,refute_0_859]) ).
cnf(refute_0_861,plain,
( composition(join(X_34,one),X_35) != join(X_35,composition(X_34,X_35))
| join(X_34,one) != join(one,X_34)
| composition(join(one,X_34),X_35) = join(X_35,composition(X_34,X_35)) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X_34,one),X_35),join(X_35,composition(X_34,X_35))) ),[0,0],$fot(join(one,X_34))]]) ).
cnf(refute_0_862,plain,
( composition(join(X_34,one),X_35) != join(X_35,composition(X_34,X_35))
| composition(join(one,X_34),X_35) = join(X_35,composition(X_34,X_35)) ),
inference(resolve,[$cnf( $equal(join(X_34,one),join(one,X_34)) )],[refute_0_860,refute_0_861]) ).
cnf(refute_0_863,plain,
composition(join(one,X_34),X_35) = join(X_35,composition(X_34,X_35)),
inference(resolve,[$cnf( $equal(composition(join(X_34,one),X_35),join(X_35,composition(X_34,X_35))) )],[refute_0_857,refute_0_862]) ).
cnf(refute_0_864,plain,
( composition(join(X_31,one),X_33) != join(X_33,composition(X_31,X_33))
| join(X_33,composition(X_31,X_33)) = composition(join(X_31,one),X_33) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(composition(join(X_31,one),X_33))),bind(Y,$fot(join(X_33,composition(X_31,X_33))))]]) ).
cnf(refute_0_865,plain,
join(X_33,composition(X_31,X_33)) = composition(join(X_31,one),X_33),
inference(resolve,[$cnf( $equal(composition(join(X_31,one),X_33),join(X_33,composition(X_31,X_33))) )],[refute_0_59,refute_0_864]) ).
cnf(refute_0_866,plain,
join(X_35,composition(X_34,X_35)) = composition(join(X_34,one),X_35),
inference(subst,[],[refute_0_865:[bind(X_31,$fot(X_34)),bind(X_33,$fot(X_35))]]) ).
cnf(refute_0_867,plain,
( composition(join(one,X_34),X_35) != join(X_35,composition(X_34,X_35))
| join(X_35,composition(X_34,X_35)) != composition(join(X_34,one),X_35)
| composition(join(one,X_34),X_35) = composition(join(X_34,one),X_35) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(one,X_34),X_35),composition(join(X_34,one),X_35)) ),[0],$fot(join(X_35,composition(X_34,X_35)))]]) ).
cnf(refute_0_868,plain,
( composition(join(one,X_34),X_35) != join(X_35,composition(X_34,X_35))
| composition(join(one,X_34),X_35) = composition(join(X_34,one),X_35) ),
inference(resolve,[$cnf( $equal(join(X_35,composition(X_34,X_35)),composition(join(X_34,one),X_35)) )],[refute_0_866,refute_0_867]) ).
cnf(refute_0_869,plain,
composition(join(one,X_34),X_35) = composition(join(X_34,one),X_35),
inference(resolve,[$cnf( $equal(composition(join(one,X_34),X_35),join(X_35,composition(X_34,X_35))) )],[refute_0_863,refute_0_868]) ).
cnf(refute_0_870,plain,
( composition(join(one,X_34),X_35) != composition(join(X_34,one),X_35)
| composition(join(X_34,one),X_35) = composition(join(one,X_34),X_35) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(composition(join(one,X_34),X_35))),bind(Y,$fot(composition(join(X_34,one),X_35)))]]) ).
cnf(refute_0_871,plain,
composition(join(X_34,one),X_35) = composition(join(one,X_34),X_35),
inference(resolve,[$cnf( $equal(composition(join(one,X_34),X_35),composition(join(X_34,one),X_35)) )],[refute_0_869,refute_0_870]) ).
cnf(refute_0_872,plain,
composition(join(converse(top),one),complement(composition(top,X_166))) = composition(join(one,converse(top)),complement(composition(top,X_166))),
inference(subst,[],[refute_0_871:[bind(X_34,$fot(converse(top))),bind(X_35,$fot(complement(composition(top,X_166))))]]) ).
cnf(refute_0_873,plain,
join(complement(composition(top,X_166)),composition(converse(top),complement(composition(top,X_166)))) = composition(join(converse(top),one),complement(composition(top,X_166))),
inference(subst,[],[refute_0_865:[bind(X_31,$fot(converse(top))),bind(X_33,$fot(complement(composition(top,X_166))))]]) ).
cnf(refute_0_874,plain,
( composition(join(converse(top),one),complement(composition(top,X_166))) != composition(join(one,converse(top)),complement(composition(top,X_166)))
| join(complement(composition(top,X_166)),composition(converse(top),complement(composition(top,X_166)))) != composition(join(converse(top),one),complement(composition(top,X_166)))
| join(complement(composition(top,X_166)),composition(converse(top),complement(composition(top,X_166)))) = composition(join(one,converse(top)),complement(composition(top,X_166))) ),
inference(subst,[],[refute_0_100:[bind(X,$fot(join(complement(composition(top,X_166)),composition(converse(top),complement(composition(top,X_166)))))),bind(Y,$fot(composition(join(converse(top),one),complement(composition(top,X_166))))),bind(Z,$fot(composition(join(one,converse(top)),complement(composition(top,X_166)))))]]) ).
cnf(refute_0_875,plain,
( composition(join(converse(top),one),complement(composition(top,X_166))) != composition(join(one,converse(top)),complement(composition(top,X_166)))
| join(complement(composition(top,X_166)),composition(converse(top),complement(composition(top,X_166)))) = composition(join(one,converse(top)),complement(composition(top,X_166))) ),
inference(resolve,[$cnf( $equal(join(complement(composition(top,X_166)),composition(converse(top),complement(composition(top,X_166)))),composition(join(converse(top),one),complement(composition(top,X_166)))) )],[refute_0_873,refute_0_874]) ).
cnf(refute_0_876,plain,
join(complement(composition(top,X_166)),composition(converse(top),complement(composition(top,X_166)))) = composition(join(one,converse(top)),complement(composition(top,X_166))),
inference(resolve,[$cnf( $equal(composition(join(converse(top),one),complement(composition(top,X_166))),composition(join(one,converse(top)),complement(composition(top,X_166)))) )],[refute_0_872,refute_0_875]) ).
cnf(refute_0_877,plain,
( composition(join(one,converse(top)),complement(composition(top,X_166))) != composition(top,complement(composition(top,X_166)))
| join(complement(composition(top,X_166)),composition(converse(top),complement(composition(top,X_166)))) != composition(join(one,converse(top)),complement(composition(top,X_166)))
| join(complement(composition(top,X_166)),composition(converse(top),complement(composition(top,X_166)))) = composition(top,complement(composition(top,X_166))) ),
inference(subst,[],[refute_0_100:[bind(X,$fot(join(complement(composition(top,X_166)),composition(converse(top),complement(composition(top,X_166)))))),bind(Y,$fot(composition(join(one,converse(top)),complement(composition(top,X_166))))),bind(Z,$fot(composition(top,complement(composition(top,X_166)))))]]) ).
cnf(refute_0_878,plain,
( composition(join(one,converse(top)),complement(composition(top,X_166))) != composition(top,complement(composition(top,X_166)))
| join(complement(composition(top,X_166)),composition(converse(top),complement(composition(top,X_166)))) = composition(top,complement(composition(top,X_166))) ),
inference(resolve,[$cnf( $equal(join(complement(composition(top,X_166)),composition(converse(top),complement(composition(top,X_166)))),composition(join(one,converse(top)),complement(composition(top,X_166)))) )],[refute_0_876,refute_0_877]) ).
cnf(refute_0_879,plain,
join(complement(composition(top,X_166)),composition(converse(top),complement(composition(top,X_166)))) = composition(top,complement(composition(top,X_166))),
inference(resolve,[$cnf( $equal(composition(join(one,converse(top)),complement(composition(top,X_166))),composition(top,complement(composition(top,X_166)))) )],[refute_0_856,refute_0_878]) ).
cnf(refute_0_880,plain,
( join(complement(composition(top,X_166)),composition(converse(top),complement(composition(top,X_166)))) != complement(composition(top,X_166))
| join(complement(composition(top,X_166)),composition(converse(top),complement(composition(top,X_166)))) != composition(top,complement(composition(top,X_166)))
| composition(top,complement(composition(top,X_166))) = complement(composition(top,X_166)) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(composition(top,X_166)),composition(converse(top),complement(composition(top,X_166)))),complement(composition(top,X_166))) ),[0],$fot(composition(top,complement(composition(top,X_166))))]]) ).
cnf(refute_0_881,plain,
( join(complement(composition(top,X_166)),composition(converse(top),complement(composition(top,X_166)))) != complement(composition(top,X_166))
| composition(top,complement(composition(top,X_166))) = complement(composition(top,X_166)) ),
inference(resolve,[$cnf( $equal(join(complement(composition(top,X_166)),composition(converse(top),complement(composition(top,X_166)))),composition(top,complement(composition(top,X_166)))) )],[refute_0_879,refute_0_880]) ).
cnf(refute_0_882,plain,
composition(top,complement(composition(top,X_166))) = complement(composition(top,X_166)),
inference(resolve,[$cnf( $equal(join(complement(composition(top,X_166)),composition(converse(top),complement(composition(top,X_166)))),complement(composition(top,X_166))) )],[refute_0_803,refute_0_881]) ).
cnf(refute_0_883,plain,
composition(top,complement(composition(top,converse(X_4)))) = complement(composition(top,converse(X_4))),
inference(subst,[],[refute_0_882:[bind(X_166,$fot(converse(X_4)))]]) ).
cnf(refute_0_884,plain,
converse(composition(X_4,converse(top))) = composition(top,converse(X_4)),
inference(subst,[],[refute_0_287:[bind(X0,$fot(top))]]) ).
cnf(refute_0_885,plain,
( converse(composition(X_4,converse(top))) != composition(top,converse(X_4))
| converse(top) != top
| converse(composition(X_4,top)) = composition(top,converse(X_4)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(X_4,converse(top))),composition(top,converse(X_4))) ),[0,0,1],$fot(top)]]) ).
cnf(refute_0_886,plain,
( converse(composition(X_4,converse(top))) != composition(top,converse(X_4))
| converse(composition(X_4,top)) = composition(top,converse(X_4)) ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_821,refute_0_885]) ).
cnf(refute_0_887,plain,
converse(composition(X_4,top)) = composition(top,converse(X_4)),
inference(resolve,[$cnf( $equal(converse(composition(X_4,converse(top))),composition(top,converse(X_4))) )],[refute_0_884,refute_0_886]) ).
cnf(refute_0_888,plain,
( converse(composition(X_4,top)) != composition(top,converse(X_4))
| composition(top,converse(X_4)) = converse(composition(X_4,top)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(converse(composition(X_4,top)))),bind(Y,$fot(composition(top,converse(X_4))))]]) ).
cnf(refute_0_889,plain,
composition(top,converse(X_4)) = converse(composition(X_4,top)),
inference(resolve,[$cnf( $equal(converse(composition(X_4,top)),composition(top,converse(X_4))) )],[refute_0_887,refute_0_888]) ).
cnf(refute_0_890,plain,
( composition(top,complement(composition(top,converse(X_4)))) != complement(composition(top,converse(X_4)))
| composition(top,converse(X_4)) != converse(composition(X_4,top))
| composition(top,complement(converse(composition(X_4,top)))) = complement(composition(top,converse(X_4))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,complement(composition(top,converse(X_4)))),complement(composition(top,converse(X_4)))) ),[0,1,0],$fot(converse(composition(X_4,top)))]]) ).
cnf(refute_0_891,plain,
( composition(top,complement(composition(top,converse(X_4)))) != complement(composition(top,converse(X_4)))
| composition(top,complement(converse(composition(X_4,top)))) = complement(composition(top,converse(X_4))) ),
inference(resolve,[$cnf( $equal(composition(top,converse(X_4)),converse(composition(X_4,top))) )],[refute_0_889,refute_0_890]) ).
cnf(refute_0_892,plain,
composition(top,complement(converse(composition(X_4,top)))) = complement(composition(top,converse(X_4))),
inference(resolve,[$cnf( $equal(composition(top,complement(composition(top,converse(X_4)))),complement(composition(top,converse(X_4)))) )],[refute_0_883,refute_0_891]) ).
cnf(refute_0_893,plain,
converse(composition(complement(X_260),top)) = composition(top,converse(complement(X_260))),
inference(subst,[],[refute_0_887:[bind(X_4,$fot(complement(X_260)))]]) ).
cnf(refute_0_894,plain,
converse(converse(complement(converse(X_259)))) = complement(converse(X_259)),
inference(subst,[],[refute_0_1:[bind(X0,$fot(complement(converse(X_259))))]]) ).
cnf(refute_0_895,plain,
join(converse(X_23),converse(X_22)) = join(converse(X_22),converse(X_23)),
inference(subst,[],[refute_0_4:[bind(X0,$fot(converse(X_23))),bind(X1,$fot(converse(X_22)))]]) ).
cnf(refute_0_896,plain,
converse(join(X_22,X_23)) = join(converse(X_22),converse(X_23)),
inference(subst,[],[refute_0_304:[bind(X0,$fot(X_22)),bind(X1,$fot(X_23))]]) ).
cnf(refute_0_897,plain,
( converse(join(X_22,X_23)) != join(converse(X_22),converse(X_23))
| join(converse(X_22),converse(X_23)) = converse(join(X_22,X_23)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(converse(join(X_22,X_23)))),bind(Y,$fot(join(converse(X_22),converse(X_23))))]]) ).
cnf(refute_0_898,plain,
join(converse(X_22),converse(X_23)) = converse(join(X_22,X_23)),
inference(resolve,[$cnf( $equal(converse(join(X_22,X_23)),join(converse(X_22),converse(X_23))) )],[refute_0_896,refute_0_897]) ).
cnf(refute_0_899,plain,
( join(converse(X_22),converse(X_23)) != converse(join(X_22,X_23))
| join(converse(X_23),converse(X_22)) != join(converse(X_22),converse(X_23))
| join(converse(X_23),converse(X_22)) = converse(join(X_22,X_23)) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(X_23),converse(X_22)),join(converse(X_22),converse(X_23))) ),[1],$fot(converse(join(X_22,X_23)))]]) ).
cnf(refute_0_900,plain,
( join(converse(X_23),converse(X_22)) != join(converse(X_22),converse(X_23))
| join(converse(X_23),converse(X_22)) = converse(join(X_22,X_23)) ),
inference(resolve,[$cnf( $equal(join(converse(X_22),converse(X_23)),converse(join(X_22,X_23))) )],[refute_0_898,refute_0_899]) ).
cnf(refute_0_901,plain,
join(converse(X_23),converse(X_22)) = converse(join(X_22,X_23)),
inference(resolve,[$cnf( $equal(join(converse(X_23),converse(X_22)),join(converse(X_22),converse(X_23))) )],[refute_0_895,refute_0_900]) ).
cnf(refute_0_902,plain,
( converse(join(X0,X1)) != join(converse(X0),converse(X1))
| join(converse(X0),converse(X1)) = converse(join(X0,X1)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(converse(join(X0,X1)))),bind(Y,$fot(join(converse(X0),converse(X1))))]]) ).
cnf(refute_0_903,plain,
join(converse(X0),converse(X1)) = converse(join(X0,X1)),
inference(resolve,[$cnf( $equal(converse(join(X0,X1)),join(converse(X0),converse(X1))) )],[refute_0_304,refute_0_902]) ).
cnf(refute_0_904,plain,
join(converse(X_23),converse(X_22)) = converse(join(X_23,X_22)),
inference(subst,[],[refute_0_903:[bind(X0,$fot(X_23)),bind(X1,$fot(X_22))]]) ).
cnf(refute_0_905,plain,
( join(converse(X_23),converse(X_22)) != converse(join(X_22,X_23))
| join(converse(X_23),converse(X_22)) != converse(join(X_23,X_22))
| converse(join(X_23,X_22)) = converse(join(X_22,X_23)) ),
introduced(tautology,[equality,[$cnf( $equal(join(converse(X_23),converse(X_22)),converse(join(X_22,X_23))) ),[0],$fot(converse(join(X_23,X_22)))]]) ).
cnf(refute_0_906,plain,
( join(converse(X_23),converse(X_22)) != converse(join(X_22,X_23))
| converse(join(X_23,X_22)) = converse(join(X_22,X_23)) ),
inference(resolve,[$cnf( $equal(join(converse(X_23),converse(X_22)),converse(join(X_23,X_22))) )],[refute_0_904,refute_0_905]) ).
cnf(refute_0_907,plain,
converse(join(X_23,X_22)) = converse(join(X_22,X_23)),
inference(resolve,[$cnf( $equal(join(converse(X_23),converse(X_22)),converse(join(X_22,X_23))) )],[refute_0_901,refute_0_906]) ).
cnf(refute_0_908,plain,
converse(join(converse(complement(X_258)),complement(converse(X_258)))) = converse(join(complement(converse(X_258)),converse(complement(X_258)))),
inference(subst,[],[refute_0_907:[bind(X_22,$fot(complement(converse(X_258)))),bind(X_23,$fot(converse(complement(X_258))))]]) ).
cnf(refute_0_909,plain,
join(join(X_97,X_98),join(X_97,X_98)) = join(join(join(X_97,X_98),X_97),X_98),
inference(subst,[],[refute_0_61:[bind(X0,$fot(join(X_97,X_98))),bind(X1,$fot(X_97)),bind(X2,$fot(X_98))]]) ).
cnf(refute_0_910,plain,
converse(composition(X_4,converse(join(one,one)))) = composition(join(one,one),converse(X_4)),
inference(subst,[],[refute_0_287:[bind(X0,$fot(join(one,one)))]]) ).
cnf(refute_0_911,plain,
composition(join(one,one),converse(X_4)) = join(converse(X_4),converse(X_4)),
inference(subst,[],[refute_0_295:[bind(X_35,$fot(converse(X_4)))]]) ).
cnf(refute_0_912,plain,
( composition(join(one,one),converse(X_4)) != join(converse(X_4),converse(X_4))
| converse(composition(X_4,converse(join(one,one)))) != composition(join(one,one),converse(X_4))
| converse(composition(X_4,converse(join(one,one)))) = join(converse(X_4),converse(X_4)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(X_4,converse(join(one,one)))),composition(join(one,one),converse(X_4))) ),[1],$fot(join(converse(X_4),converse(X_4)))]]) ).
cnf(refute_0_913,plain,
( converse(composition(X_4,converse(join(one,one)))) != composition(join(one,one),converse(X_4))
| converse(composition(X_4,converse(join(one,one)))) = join(converse(X_4),converse(X_4)) ),
inference(resolve,[$cnf( $equal(composition(join(one,one),converse(X_4)),join(converse(X_4),converse(X_4))) )],[refute_0_911,refute_0_912]) ).
cnf(refute_0_914,plain,
converse(composition(X_4,converse(join(one,one)))) = join(converse(X_4),converse(X_4)),
inference(resolve,[$cnf( $equal(converse(composition(X_4,converse(join(one,one)))),composition(join(one,one),converse(X_4))) )],[refute_0_910,refute_0_913]) ).
cnf(refute_0_915,plain,
( converse(composition(X_4,converse(join(one,one)))) != composition(join(one,one),converse(X_4))
| converse(join(one,one)) != join(one,one)
| converse(composition(X_4,join(one,one))) = composition(join(one,one),converse(X_4)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(X_4,converse(join(one,one)))),composition(join(one,one),converse(X_4))) ),[0,0,1],$fot(join(one,one))]]) ).
cnf(refute_0_916,plain,
( converse(composition(X_4,converse(join(one,one)))) != composition(join(one,one),converse(X_4))
| converse(composition(X_4,join(one,one))) = composition(join(one,one),converse(X_4)) ),
inference(resolve,[$cnf( $equal(converse(join(one,one)),join(one,one)) )],[refute_0_326,refute_0_915]) ).
cnf(refute_0_917,plain,
converse(composition(X_4,join(one,one))) = composition(join(one,one),converse(X_4)),
inference(resolve,[$cnf( $equal(converse(composition(X_4,converse(join(one,one)))),composition(join(one,one),converse(X_4))) )],[refute_0_910,refute_0_916]) ).
cnf(refute_0_918,plain,
( converse(composition(X_4,join(one,one))) != composition(join(one,one),converse(X_4))
| composition(join(one,one),converse(X_4)) = converse(composition(X_4,join(one,one))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(converse(composition(X_4,join(one,one))))),bind(Y,$fot(composition(join(one,one),converse(X_4))))]]) ).
cnf(refute_0_919,plain,
composition(join(one,one),converse(X_4)) = converse(composition(X_4,join(one,one))),
inference(resolve,[$cnf( $equal(converse(composition(X_4,join(one,one))),composition(join(one,one),converse(X_4))) )],[refute_0_917,refute_0_918]) ).
cnf(refute_0_920,plain,
( composition(join(one,one),converse(X_4)) != converse(composition(X_4,join(one,one)))
| converse(composition(X_4,converse(join(one,one)))) != composition(join(one,one),converse(X_4))
| converse(composition(X_4,converse(join(one,one)))) = converse(composition(X_4,join(one,one))) ),
inference(subst,[],[refute_0_100:[bind(X,$fot(converse(composition(X_4,converse(join(one,one)))))),bind(Y,$fot(composition(join(one,one),converse(X_4)))),bind(Z,$fot(converse(composition(X_4,join(one,one)))))]]) ).
cnf(refute_0_921,plain,
( composition(join(one,one),converse(X_4)) != converse(composition(X_4,join(one,one)))
| converse(composition(X_4,converse(join(one,one)))) = converse(composition(X_4,join(one,one))) ),
inference(resolve,[$cnf( $equal(converse(composition(X_4,converse(join(one,one)))),composition(join(one,one),converse(X_4))) )],[refute_0_910,refute_0_920]) ).
cnf(refute_0_922,plain,
converse(composition(X_4,converse(join(one,one)))) = converse(composition(X_4,join(one,one))),
inference(resolve,[$cnf( $equal(composition(join(one,one),converse(X_4)),converse(composition(X_4,join(one,one)))) )],[refute_0_919,refute_0_921]) ).
cnf(refute_0_923,plain,
( converse(composition(X_4,converse(join(one,one)))) != converse(composition(X_4,join(one,one)))
| converse(composition(X_4,converse(join(one,one)))) != join(converse(X_4),converse(X_4))
| converse(composition(X_4,join(one,one))) = join(converse(X_4),converse(X_4)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(X_4,converse(join(one,one)))),join(converse(X_4),converse(X_4))) ),[0],$fot(converse(composition(X_4,join(one,one))))]]) ).
cnf(refute_0_924,plain,
( converse(composition(X_4,converse(join(one,one)))) != join(converse(X_4),converse(X_4))
| converse(composition(X_4,join(one,one))) = join(converse(X_4),converse(X_4)) ),
inference(resolve,[$cnf( $equal(converse(composition(X_4,converse(join(one,one)))),converse(composition(X_4,join(one,one)))) )],[refute_0_922,refute_0_923]) ).
cnf(refute_0_925,plain,
join(converse(X_4),converse(X_4)) = converse(join(X_4,X_4)),
inference(subst,[],[refute_0_903:[bind(X0,$fot(X_4)),bind(X1,$fot(X_4))]]) ).
cnf(refute_0_926,plain,
( converse(composition(X_4,join(one,one))) != join(converse(X_4),converse(X_4))
| join(converse(X_4),converse(X_4)) != converse(join(X_4,X_4))
| converse(composition(X_4,join(one,one))) = converse(join(X_4,X_4)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(composition(X_4,join(one,one))),converse(join(X_4,X_4))) ),[0],$fot(join(converse(X_4),converse(X_4)))]]) ).
cnf(refute_0_927,plain,
( converse(composition(X_4,join(one,one))) != join(converse(X_4),converse(X_4))
| converse(composition(X_4,join(one,one))) = converse(join(X_4,X_4)) ),
inference(resolve,[$cnf( $equal(join(converse(X_4),converse(X_4)),converse(join(X_4,X_4))) )],[refute_0_925,refute_0_926]) ).
cnf(refute_0_928,plain,
( converse(composition(X_4,converse(join(one,one)))) != join(converse(X_4),converse(X_4))
| converse(composition(X_4,join(one,one))) = converse(join(X_4,X_4)) ),
inference(resolve,[$cnf( $equal(converse(composition(X_4,join(one,one))),join(converse(X_4),converse(X_4))) )],[refute_0_924,refute_0_927]) ).
cnf(refute_0_929,plain,
converse(composition(X_4,join(one,one))) = converse(join(X_4,X_4)),
inference(resolve,[$cnf( $equal(converse(composition(X_4,converse(join(one,one)))),join(converse(X_4),converse(X_4))) )],[refute_0_914,refute_0_928]) ).
cnf(refute_0_930,plain,
meet(top,composition(complement(complement(X_74)),join(one,one))) = complement(complement(X_74)),
inference(subst,[],[refute_0_354:[bind(X_62,$fot(complement(X_74)))]]) ).
cnf(refute_0_931,plain,
( complement(complement(X_74)) != X_74
| meet(top,composition(complement(complement(X_74)),join(one,one))) != complement(complement(X_74))
| meet(top,composition(X_74,join(one,one))) = complement(complement(X_74)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,composition(complement(complement(X_74)),join(one,one))),complement(complement(X_74))) ),[0,1,0],$fot(X_74)]]) ).
cnf(refute_0_932,plain,
( meet(top,composition(complement(complement(X_74)),join(one,one))) != complement(complement(X_74))
| meet(top,composition(X_74,join(one,one))) = complement(complement(X_74)) ),
inference(resolve,[$cnf( $equal(complement(complement(X_74)),X_74) )],[refute_0_710,refute_0_931]) ).
cnf(refute_0_933,plain,
meet(top,composition(X_74,join(one,one))) = complement(complement(X_74)),
inference(resolve,[$cnf( $equal(meet(top,composition(complement(complement(X_74)),join(one,one))),complement(complement(X_74))) )],[refute_0_930,refute_0_932]) ).
cnf(refute_0_934,plain,
( complement(complement(X_74)) != X_74
| meet(top,composition(X_74,join(one,one))) != complement(complement(X_74))
| meet(top,composition(X_74,join(one,one))) = X_74 ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,composition(X_74,join(one,one))),complement(complement(X_74))) ),[1],$fot(X_74)]]) ).
cnf(refute_0_935,plain,
( meet(top,composition(X_74,join(one,one))) != complement(complement(X_74))
| meet(top,composition(X_74,join(one,one))) = X_74 ),
inference(resolve,[$cnf( $equal(complement(complement(X_74)),X_74) )],[refute_0_710,refute_0_934]) ).
cnf(refute_0_936,plain,
meet(top,composition(X_74,join(one,one))) = X_74,
inference(resolve,[$cnf( $equal(meet(top,composition(X_74,join(one,one))),complement(complement(X_74))) )],[refute_0_933,refute_0_935]) ).
cnf(refute_0_937,plain,
X_40 = join(meet(X_40,top),complement(join(complement(X_40),top))),
inference(subst,[],[refute_0_106:[bind(X0,$fot(X_40)),bind(X1,$fot(top))]]) ).
cnf(refute_0_938,plain,
meet(X_40,top) = meet(top,X_40),
inference(subst,[],[refute_0_247:[bind(X0,$fot(X_40))]]) ).
cnf(refute_0_939,plain,
( X_40 != join(meet(X_40,top),complement(join(complement(X_40),top)))
| meet(X_40,top) != meet(top,X_40)
| X_40 = join(meet(top,X_40),complement(join(complement(X_40),top))) ),
introduced(tautology,[equality,[$cnf( $equal(X_40,join(meet(X_40,top),complement(join(complement(X_40),top)))) ),[1,0],$fot(meet(top,X_40))]]) ).
cnf(refute_0_940,plain,
( X_40 != join(meet(X_40,top),complement(join(complement(X_40),top)))
| X_40 = join(meet(top,X_40),complement(join(complement(X_40),top))) ),
inference(resolve,[$cnf( $equal(meet(X_40,top),meet(top,X_40)) )],[refute_0_938,refute_0_939]) ).
cnf(refute_0_941,plain,
X_40 = join(meet(top,X_40),complement(join(complement(X_40),top))),
inference(resolve,[$cnf( $equal(X_40,join(meet(X_40,top),complement(join(complement(X_40),top)))) )],[refute_0_937,refute_0_940]) ).
cnf(refute_0_942,plain,
join(complement(X_40),top) = join(top,complement(X_40)),
inference(subst,[],[refute_0_9:[bind(X0,$fot(top)),bind(X1,$fot(complement(X_40)))]]) ).
cnf(refute_0_943,plain,
complement(join(complement(X_40),top)) = complement(join(complement(X_40),top)),
introduced(tautology,[refl,[$fot(complement(join(complement(X_40),top)))]]) ).
cnf(refute_0_944,plain,
( complement(join(complement(X_40),top)) != complement(join(complement(X_40),top))
| join(complement(X_40),top) != join(top,complement(X_40))
| complement(join(complement(X_40),top)) = complement(join(top,complement(X_40))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(join(complement(X_40),top)),complement(join(complement(X_40),top))) ),[1,0],$fot(join(top,complement(X_40)))]]) ).
cnf(refute_0_945,plain,
( join(complement(X_40),top) != join(top,complement(X_40))
| complement(join(complement(X_40),top)) = complement(join(top,complement(X_40))) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_40),top)),complement(join(complement(X_40),top))) )],[refute_0_943,refute_0_944]) ).
cnf(refute_0_946,plain,
complement(join(complement(X_40),top)) = complement(join(top,complement(X_40))),
inference(resolve,[$cnf( $equal(join(complement(X_40),top),join(top,complement(X_40))) )],[refute_0_942,refute_0_945]) ).
cnf(refute_0_947,plain,
join(meet(top,X_40),complement(join(complement(X_40),top))) = join(meet(top,X_40),complement(join(complement(X_40),top))),
introduced(tautology,[refl,[$fot(join(meet(top,X_40),complement(join(complement(X_40),top))))]]) ).
cnf(refute_0_948,plain,
( complement(join(complement(X_40),top)) != complement(join(top,complement(X_40)))
| join(meet(top,X_40),complement(join(complement(X_40),top))) != join(meet(top,X_40),complement(join(complement(X_40),top)))
| join(meet(top,X_40),complement(join(complement(X_40),top))) = join(meet(top,X_40),complement(join(top,complement(X_40)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(top,X_40),complement(join(complement(X_40),top))),join(meet(top,X_40),complement(join(complement(X_40),top)))) ),[1,1],$fot(complement(join(top,complement(X_40))))]]) ).
cnf(refute_0_949,plain,
( complement(join(complement(X_40),top)) != complement(join(top,complement(X_40)))
| join(meet(top,X_40),complement(join(complement(X_40),top))) = join(meet(top,X_40),complement(join(top,complement(X_40)))) ),
inference(resolve,[$cnf( $equal(join(meet(top,X_40),complement(join(complement(X_40),top))),join(meet(top,X_40),complement(join(complement(X_40),top)))) )],[refute_0_947,refute_0_948]) ).
cnf(refute_0_950,plain,
join(meet(top,X_40),complement(join(complement(X_40),top))) = join(meet(top,X_40),complement(join(top,complement(X_40)))),
inference(resolve,[$cnf( $equal(complement(join(complement(X_40),top)),complement(join(top,complement(X_40)))) )],[refute_0_946,refute_0_949]) ).
cnf(refute_0_951,plain,
( X_40 != join(meet(top,X_40),complement(join(complement(X_40),top)))
| join(meet(top,X_40),complement(join(complement(X_40),top))) != join(meet(top,X_40),complement(join(top,complement(X_40))))
| X_40 = join(meet(top,X_40),complement(join(top,complement(X_40)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_40,join(meet(top,X_40),complement(join(top,complement(X_40))))) ),[0],$fot(join(meet(top,X_40),complement(join(complement(X_40),top))))]]) ).
cnf(refute_0_952,plain,
( X_40 != join(meet(top,X_40),complement(join(complement(X_40),top)))
| X_40 = join(meet(top,X_40),complement(join(top,complement(X_40)))) ),
inference(resolve,[$cnf( $equal(join(meet(top,X_40),complement(join(complement(X_40),top))),join(meet(top,X_40),complement(join(top,complement(X_40))))) )],[refute_0_950,refute_0_951]) ).
cnf(refute_0_953,plain,
X_40 = join(meet(top,X_40),complement(join(top,complement(X_40)))),
inference(resolve,[$cnf( $equal(X_40,join(meet(top,X_40),complement(join(complement(X_40),top)))) )],[refute_0_941,refute_0_952]) ).
cnf(refute_0_954,plain,
( meet(zero,X1) != complement(join(top,complement(X1)))
| complement(join(top,complement(X1))) = meet(zero,X1) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(zero,X1))),bind(Y,$fot(complement(join(top,complement(X1)))))]]) ).
cnf(refute_0_955,plain,
complement(join(top,complement(X1))) = meet(zero,X1),
inference(resolve,[$cnf( $equal(meet(zero,X1),complement(join(top,complement(X1)))) )],[refute_0_265,refute_0_954]) ).
cnf(refute_0_956,plain,
complement(join(top,complement(X_40))) = meet(zero,X_40),
inference(subst,[],[refute_0_955:[bind(X1,$fot(X_40))]]) ).
cnf(refute_0_957,plain,
join(meet(top,X_40),complement(join(top,complement(X_40)))) = join(meet(top,X_40),complement(join(top,complement(X_40)))),
introduced(tautology,[refl,[$fot(join(meet(top,X_40),complement(join(top,complement(X_40)))))]]) ).
cnf(refute_0_958,plain,
( complement(join(top,complement(X_40))) != meet(zero,X_40)
| join(meet(top,X_40),complement(join(top,complement(X_40)))) != join(meet(top,X_40),complement(join(top,complement(X_40))))
| join(meet(top,X_40),complement(join(top,complement(X_40)))) = join(meet(top,X_40),meet(zero,X_40)) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(top,X_40),complement(join(top,complement(X_40)))),join(meet(top,X_40),complement(join(top,complement(X_40))))) ),[1,1],$fot(meet(zero,X_40))]]) ).
cnf(refute_0_959,plain,
( complement(join(top,complement(X_40))) != meet(zero,X_40)
| join(meet(top,X_40),complement(join(top,complement(X_40)))) = join(meet(top,X_40),meet(zero,X_40)) ),
inference(resolve,[$cnf( $equal(join(meet(top,X_40),complement(join(top,complement(X_40)))),join(meet(top,X_40),complement(join(top,complement(X_40))))) )],[refute_0_957,refute_0_958]) ).
cnf(refute_0_960,plain,
join(meet(top,X_40),complement(join(top,complement(X_40)))) = join(meet(top,X_40),meet(zero,X_40)),
inference(resolve,[$cnf( $equal(complement(join(top,complement(X_40))),meet(zero,X_40)) )],[refute_0_956,refute_0_959]) ).
cnf(refute_0_961,plain,
( X_40 != join(meet(top,X_40),complement(join(top,complement(X_40))))
| join(meet(top,X_40),complement(join(top,complement(X_40)))) != join(meet(top,X_40),meet(zero,X_40))
| X_40 = join(meet(top,X_40),meet(zero,X_40)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_40,join(meet(top,X_40),meet(zero,X_40))) ),[0],$fot(join(meet(top,X_40),complement(join(top,complement(X_40)))))]]) ).
cnf(refute_0_962,plain,
( X_40 != join(meet(top,X_40),complement(join(top,complement(X_40))))
| X_40 = join(meet(top,X_40),meet(zero,X_40)) ),
inference(resolve,[$cnf( $equal(join(meet(top,X_40),complement(join(top,complement(X_40)))),join(meet(top,X_40),meet(zero,X_40))) )],[refute_0_960,refute_0_961]) ).
cnf(refute_0_963,plain,
X_40 = join(meet(top,X_40),meet(zero,X_40)),
inference(resolve,[$cnf( $equal(X_40,join(meet(top,X_40),complement(join(top,complement(X_40))))) )],[refute_0_953,refute_0_962]) ).
cnf(refute_0_964,plain,
join(meet(top,X_40),zero) = join(zero,meet(top,X_40)),
inference(subst,[],[refute_0_9:[bind(X0,$fot(zero)),bind(X1,$fot(meet(top,X_40)))]]) ).
cnf(refute_0_965,plain,
meet(zero,X_86) = complement(complement(meet(zero,X_86))),
inference(subst,[],[refute_0_707:[bind(X_40,$fot(meet(zero,X_86)))]]) ).
cnf(refute_0_966,plain,
top = complement(meet(zero,X_86)),
inference(subst,[],[refute_0_772:[bind(X_14,$fot(X_86))]]) ).
cnf(refute_0_967,plain,
( top != complement(meet(zero,X_86))
| complement(meet(zero,X_86)) = top ),
inference(subst,[],[refute_0_7:[bind(X,$fot(top)),bind(Y,$fot(complement(meet(zero,X_86))))]]) ).
cnf(refute_0_968,plain,
complement(meet(zero,X_86)) = top,
inference(resolve,[$cnf( $equal(top,complement(meet(zero,X_86))) )],[refute_0_966,refute_0_967]) ).
cnf(refute_0_969,plain,
( complement(meet(zero,X_86)) != top
| meet(zero,X_86) != complement(complement(meet(zero,X_86)))
| meet(zero,X_86) = complement(top) ),
introduced(tautology,[equality,[$cnf( $equal(meet(zero,X_86),complement(complement(meet(zero,X_86)))) ),[1,0],$fot(top)]]) ).
cnf(refute_0_970,plain,
( meet(zero,X_86) != complement(complement(meet(zero,X_86)))
| meet(zero,X_86) = complement(top) ),
inference(resolve,[$cnf( $equal(complement(meet(zero,X_86)),top) )],[refute_0_968,refute_0_969]) ).
cnf(refute_0_971,plain,
meet(zero,X_86) = complement(top),
inference(resolve,[$cnf( $equal(meet(zero,X_86),complement(complement(meet(zero,X_86)))) )],[refute_0_965,refute_0_970]) ).
cnf(refute_0_972,plain,
( complement(top) != zero
| meet(zero,X_86) != complement(top)
| meet(zero,X_86) = zero ),
introduced(tautology,[equality,[$cnf( $equal(meet(zero,X_86),complement(top)) ),[1],$fot(zero)]]) ).
cnf(refute_0_973,plain,
( meet(zero,X_86) != complement(top)
| meet(zero,X_86) = zero ),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_141,refute_0_972]) ).
cnf(refute_0_974,plain,
meet(zero,X_86) = zero,
inference(resolve,[$cnf( $equal(meet(zero,X_86),complement(top)) )],[refute_0_971,refute_0_973]) ).
cnf(refute_0_975,plain,
meet(zero,X_40) = zero,
inference(subst,[],[refute_0_974:[bind(X_86,$fot(X_40))]]) ).
cnf(refute_0_976,plain,
join(meet(top,X_40),meet(zero,X_40)) = join(meet(top,X_40),meet(zero,X_40)),
introduced(tautology,[refl,[$fot(join(meet(top,X_40),meet(zero,X_40)))]]) ).
cnf(refute_0_977,plain,
( join(meet(top,X_40),meet(zero,X_40)) != join(meet(top,X_40),meet(zero,X_40))
| meet(zero,X_40) != zero
| join(meet(top,X_40),meet(zero,X_40)) = join(meet(top,X_40),zero) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(top,X_40),meet(zero,X_40)),join(meet(top,X_40),meet(zero,X_40))) ),[1,1],$fot(zero)]]) ).
cnf(refute_0_978,plain,
( meet(zero,X_40) != zero
| join(meet(top,X_40),meet(zero,X_40)) = join(meet(top,X_40),zero) ),
inference(resolve,[$cnf( $equal(join(meet(top,X_40),meet(zero,X_40)),join(meet(top,X_40),meet(zero,X_40))) )],[refute_0_976,refute_0_977]) ).
cnf(refute_0_979,plain,
join(meet(top,X_40),meet(zero,X_40)) = join(meet(top,X_40),zero),
inference(resolve,[$cnf( $equal(meet(zero,X_40),zero) )],[refute_0_975,refute_0_978]) ).
cnf(refute_0_980,plain,
( join(meet(top,X_40),meet(zero,X_40)) != join(meet(top,X_40),zero)
| join(meet(top,X_40),zero) != join(zero,meet(top,X_40))
| join(meet(top,X_40),meet(zero,X_40)) = join(zero,meet(top,X_40)) ),
inference(subst,[],[refute_0_100:[bind(X,$fot(join(meet(top,X_40),meet(zero,X_40)))),bind(Y,$fot(join(meet(top,X_40),zero))),bind(Z,$fot(join(zero,meet(top,X_40))))]]) ).
cnf(refute_0_981,plain,
( join(meet(top,X_40),zero) != join(zero,meet(top,X_40))
| join(meet(top,X_40),meet(zero,X_40)) = join(zero,meet(top,X_40)) ),
inference(resolve,[$cnf( $equal(join(meet(top,X_40),meet(zero,X_40)),join(meet(top,X_40),zero)) )],[refute_0_979,refute_0_980]) ).
cnf(refute_0_982,plain,
join(meet(top,X_40),meet(zero,X_40)) = join(zero,meet(top,X_40)),
inference(resolve,[$cnf( $equal(join(meet(top,X_40),zero),join(zero,meet(top,X_40))) )],[refute_0_964,refute_0_981]) ).
cnf(refute_0_983,plain,
( X_40 != join(meet(top,X_40),meet(zero,X_40))
| join(meet(top,X_40),meet(zero,X_40)) != join(zero,meet(top,X_40))
| X_40 = join(zero,meet(top,X_40)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_40,join(zero,meet(top,X_40))) ),[0],$fot(join(meet(top,X_40),meet(zero,X_40)))]]) ).
cnf(refute_0_984,plain,
( X_40 != join(meet(top,X_40),meet(zero,X_40))
| X_40 = join(zero,meet(top,X_40)) ),
inference(resolve,[$cnf( $equal(join(meet(top,X_40),meet(zero,X_40)),join(zero,meet(top,X_40))) )],[refute_0_982,refute_0_983]) ).
cnf(refute_0_985,plain,
X_40 = join(zero,meet(top,X_40)),
inference(resolve,[$cnf( $equal(X_40,join(meet(top,X_40),meet(zero,X_40))) )],[refute_0_963,refute_0_984]) ).
cnf(refute_0_986,plain,
X_40 = join(meet(X_40,join(zero,complement(complement(X_40)))),complement(join(complement(X_40),join(zero,complement(complement(X_40)))))),
inference(subst,[],[refute_0_106:[bind(X0,$fot(X_40)),bind(X1,$fot(join(zero,complement(complement(X_40)))))]]) ).
cnf(refute_0_987,plain,
top = join(complement(X_20),join(complement(complement(X_20)),meet(X_20,complement(X_20)))),
inference(subst,[],[refute_0_165:[bind(X_14,$fot(X_20)),bind(X_15,$fot(complement(X_20)))]]) ).
cnf(refute_0_988,plain,
zero = meet(X_20,complement(X_20)),
inference(subst,[],[refute_0_114:[bind(X0,$fot(X_20))]]) ).
cnf(refute_0_989,plain,
( zero != meet(X_20,complement(X_20))
| meet(X_20,complement(X_20)) = zero ),
inference(subst,[],[refute_0_7:[bind(X,$fot(zero)),bind(Y,$fot(meet(X_20,complement(X_20))))]]) ).
cnf(refute_0_990,plain,
meet(X_20,complement(X_20)) = zero,
inference(resolve,[$cnf( $equal(zero,meet(X_20,complement(X_20))) )],[refute_0_988,refute_0_989]) ).
cnf(refute_0_991,plain,
( meet(X_20,complement(X_20)) != zero
| top != join(complement(X_20),join(complement(complement(X_20)),meet(X_20,complement(X_20))))
| top = join(complement(X_20),join(complement(complement(X_20)),zero)) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(X_20),join(complement(complement(X_20)),meet(X_20,complement(X_20))))) ),[1,1,1],$fot(zero)]]) ).
cnf(refute_0_992,plain,
( top != join(complement(X_20),join(complement(complement(X_20)),meet(X_20,complement(X_20))))
| top = join(complement(X_20),join(complement(complement(X_20)),zero)) ),
inference(resolve,[$cnf( $equal(meet(X_20,complement(X_20)),zero) )],[refute_0_990,refute_0_991]) ).
cnf(refute_0_993,plain,
top = join(complement(X_20),join(complement(complement(X_20)),zero)),
inference(resolve,[$cnf( $equal(top,join(complement(X_20),join(complement(complement(X_20)),meet(X_20,complement(X_20))))) )],[refute_0_987,refute_0_992]) ).
cnf(refute_0_994,plain,
join(complement(complement(X_20)),zero) = join(zero,complement(complement(X_20))),
inference(subst,[],[refute_0_9:[bind(X0,$fot(zero)),bind(X1,$fot(complement(complement(X_20))))]]) ).
cnf(refute_0_995,plain,
join(complement(X_20),join(complement(complement(X_20)),zero)) = join(complement(X_20),join(complement(complement(X_20)),zero)),
introduced(tautology,[refl,[$fot(join(complement(X_20),join(complement(complement(X_20)),zero)))]]) ).
cnf(refute_0_996,plain,
( join(complement(X_20),join(complement(complement(X_20)),zero)) != join(complement(X_20),join(complement(complement(X_20)),zero))
| join(complement(complement(X_20)),zero) != join(zero,complement(complement(X_20)))
| join(complement(X_20),join(complement(complement(X_20)),zero)) = join(complement(X_20),join(zero,complement(complement(X_20)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_20),join(complement(complement(X_20)),zero)),join(complement(X_20),join(complement(complement(X_20)),zero))) ),[1,1],$fot(join(zero,complement(complement(X_20))))]]) ).
cnf(refute_0_997,plain,
( join(complement(complement(X_20)),zero) != join(zero,complement(complement(X_20)))
| join(complement(X_20),join(complement(complement(X_20)),zero)) = join(complement(X_20),join(zero,complement(complement(X_20)))) ),
inference(resolve,[$cnf( $equal(join(complement(X_20),join(complement(complement(X_20)),zero)),join(complement(X_20),join(complement(complement(X_20)),zero))) )],[refute_0_995,refute_0_996]) ).
cnf(refute_0_998,plain,
join(complement(X_20),join(complement(complement(X_20)),zero)) = join(complement(X_20),join(zero,complement(complement(X_20)))),
inference(resolve,[$cnf( $equal(join(complement(complement(X_20)),zero),join(zero,complement(complement(X_20)))) )],[refute_0_994,refute_0_997]) ).
cnf(refute_0_999,plain,
( join(complement(X_20),join(complement(complement(X_20)),zero)) != join(complement(X_20),join(zero,complement(complement(X_20))))
| top != join(complement(X_20),join(complement(complement(X_20)),zero))
| top = join(complement(X_20),join(zero,complement(complement(X_20)))) ),
introduced(tautology,[equality,[$cnf( $equal(top,join(complement(X_20),join(complement(complement(X_20)),zero))) ),[1],$fot(join(complement(X_20),join(zero,complement(complement(X_20)))))]]) ).
cnf(refute_0_1000,plain,
( top != join(complement(X_20),join(complement(complement(X_20)),zero))
| top = join(complement(X_20),join(zero,complement(complement(X_20)))) ),
inference(resolve,[$cnf( $equal(join(complement(X_20),join(complement(complement(X_20)),zero)),join(complement(X_20),join(zero,complement(complement(X_20))))) )],[refute_0_998,refute_0_999]) ).
cnf(refute_0_1001,plain,
top = join(complement(X_20),join(zero,complement(complement(X_20)))),
inference(resolve,[$cnf( $equal(top,join(complement(X_20),join(complement(complement(X_20)),zero))) )],[refute_0_993,refute_0_1000]) ).
cnf(refute_0_1002,plain,
top = join(complement(X_40),join(zero,complement(complement(X_40)))),
inference(subst,[],[refute_0_1001:[bind(X_20,$fot(X_40))]]) ).
cnf(refute_0_1003,plain,
( top != join(complement(X_40),join(zero,complement(complement(X_40))))
| join(complement(X_40),join(zero,complement(complement(X_40)))) = top ),
inference(subst,[],[refute_0_7:[bind(X,$fot(top)),bind(Y,$fot(join(complement(X_40),join(zero,complement(complement(X_40))))))]]) ).
cnf(refute_0_1004,plain,
join(complement(X_40),join(zero,complement(complement(X_40)))) = top,
inference(resolve,[$cnf( $equal(top,join(complement(X_40),join(zero,complement(complement(X_40))))) )],[refute_0_1002,refute_0_1003]) ).
cnf(refute_0_1005,plain,
( X_40 != join(meet(X_40,join(zero,complement(complement(X_40)))),complement(join(complement(X_40),join(zero,complement(complement(X_40))))))
| join(complement(X_40),join(zero,complement(complement(X_40)))) != top
| X_40 = join(meet(X_40,join(zero,complement(complement(X_40)))),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(X_40,join(meet(X_40,join(zero,complement(complement(X_40)))),complement(join(complement(X_40),join(zero,complement(complement(X_40))))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_0_1006,plain,
( X_40 != join(meet(X_40,join(zero,complement(complement(X_40)))),complement(join(complement(X_40),join(zero,complement(complement(X_40))))))
| X_40 = join(meet(X_40,join(zero,complement(complement(X_40)))),complement(top)) ),
inference(resolve,[$cnf( $equal(join(complement(X_40),join(zero,complement(complement(X_40)))),top) )],[refute_0_1004,refute_0_1005]) ).
cnf(refute_0_1007,plain,
X_40 = join(meet(X_40,join(zero,complement(complement(X_40)))),complement(top)),
inference(resolve,[$cnf( $equal(X_40,join(meet(X_40,join(zero,complement(complement(X_40)))),complement(join(complement(X_40),join(zero,complement(complement(X_40))))))) )],[refute_0_986,refute_0_1006]) ).
cnf(refute_0_1008,plain,
join(complement(top),meet(X_40,join(zero,complement(complement(X_40))))) = join(complement(top),meet(X_40,join(zero,complement(complement(X_40))))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(X_40,join(zero,complement(complement(X_40))))))]]) ).
cnf(refute_0_1009,plain,
( complement(top) != zero
| join(complement(top),meet(X_40,join(zero,complement(complement(X_40))))) != join(complement(top),meet(X_40,join(zero,complement(complement(X_40)))))
| join(complement(top),meet(X_40,join(zero,complement(complement(X_40))))) = join(zero,meet(X_40,join(zero,complement(complement(X_40))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(X_40,join(zero,complement(complement(X_40))))),join(complement(top),meet(X_40,join(zero,complement(complement(X_40)))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_1010,plain,
( complement(top) != zero
| join(complement(top),meet(X_40,join(zero,complement(complement(X_40))))) = join(zero,meet(X_40,join(zero,complement(complement(X_40))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_40,join(zero,complement(complement(X_40))))),join(complement(top),meet(X_40,join(zero,complement(complement(X_40)))))) )],[refute_0_1008,refute_0_1009]) ).
cnf(refute_0_1011,plain,
join(complement(top),meet(X_40,join(zero,complement(complement(X_40))))) = join(zero,meet(X_40,join(zero,complement(complement(X_40))))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_141,refute_0_1010]) ).
cnf(refute_0_1012,plain,
join(meet(X_40,join(zero,complement(complement(X_40)))),complement(top)) = join(complement(top),meet(X_40,join(zero,complement(complement(X_40))))),
inference(subst,[],[refute_0_9:[bind(X0,$fot(complement(top))),bind(X1,$fot(meet(X_40,join(zero,complement(complement(X_40))))))]]) ).
cnf(refute_0_1013,plain,
( join(complement(top),meet(X_40,join(zero,complement(complement(X_40))))) != join(zero,meet(X_40,join(zero,complement(complement(X_40)))))
| join(meet(X_40,join(zero,complement(complement(X_40)))),complement(top)) != join(complement(top),meet(X_40,join(zero,complement(complement(X_40)))))
| join(meet(X_40,join(zero,complement(complement(X_40)))),complement(top)) = join(zero,meet(X_40,join(zero,complement(complement(X_40))))) ),
inference(subst,[],[refute_0_100:[bind(X,$fot(join(meet(X_40,join(zero,complement(complement(X_40)))),complement(top)))),bind(Y,$fot(join(complement(top),meet(X_40,join(zero,complement(complement(X_40))))))),bind(Z,$fot(join(zero,meet(X_40,join(zero,complement(complement(X_40)))))))]]) ).
cnf(refute_0_1014,plain,
( join(complement(top),meet(X_40,join(zero,complement(complement(X_40))))) != join(zero,meet(X_40,join(zero,complement(complement(X_40)))))
| join(meet(X_40,join(zero,complement(complement(X_40)))),complement(top)) = join(zero,meet(X_40,join(zero,complement(complement(X_40))))) ),
inference(resolve,[$cnf( $equal(join(meet(X_40,join(zero,complement(complement(X_40)))),complement(top)),join(complement(top),meet(X_40,join(zero,complement(complement(X_40)))))) )],[refute_0_1012,refute_0_1013]) ).
cnf(refute_0_1015,plain,
join(meet(X_40,join(zero,complement(complement(X_40)))),complement(top)) = join(zero,meet(X_40,join(zero,complement(complement(X_40))))),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X_40,join(zero,complement(complement(X_40))))),join(zero,meet(X_40,join(zero,complement(complement(X_40)))))) )],[refute_0_1011,refute_0_1014]) ).
cnf(refute_0_1016,plain,
( X_40 != join(meet(X_40,join(zero,complement(complement(X_40)))),complement(top))
| join(meet(X_40,join(zero,complement(complement(X_40)))),complement(top)) != join(zero,meet(X_40,join(zero,complement(complement(X_40)))))
| X_40 = join(zero,meet(X_40,join(zero,complement(complement(X_40))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_40,join(zero,meet(X_40,join(zero,complement(complement(X_40)))))) ),[0],$fot(join(meet(X_40,join(zero,complement(complement(X_40)))),complement(top)))]]) ).
cnf(refute_0_1017,plain,
( X_40 != join(meet(X_40,join(zero,complement(complement(X_40)))),complement(top))
| X_40 = join(zero,meet(X_40,join(zero,complement(complement(X_40))))) ),
inference(resolve,[$cnf( $equal(join(meet(X_40,join(zero,complement(complement(X_40)))),complement(top)),join(zero,meet(X_40,join(zero,complement(complement(X_40)))))) )],[refute_0_1015,refute_0_1016]) ).
cnf(refute_0_1018,plain,
X_40 = join(zero,meet(X_40,join(zero,complement(complement(X_40))))),
inference(resolve,[$cnf( $equal(X_40,join(meet(X_40,join(zero,complement(complement(X_40)))),complement(top))) )],[refute_0_1007,refute_0_1017]) ).
cnf(refute_0_1019,plain,
join(zero,complement(complement(X_40))) = complement(meet(top,complement(X_40))),
inference(subst,[],[refute_0_463:[bind(X_19,$fot(complement(X_40)))]]) ).
cnf(refute_0_1020,plain,
meet(X_40,join(zero,complement(complement(X_40)))) = meet(X_40,join(zero,complement(complement(X_40)))),
introduced(tautology,[refl,[$fot(meet(X_40,join(zero,complement(complement(X_40)))))]]) ).
cnf(refute_0_1021,plain,
( join(zero,complement(complement(X_40))) != complement(meet(top,complement(X_40)))
| meet(X_40,join(zero,complement(complement(X_40)))) != meet(X_40,join(zero,complement(complement(X_40))))
| meet(X_40,join(zero,complement(complement(X_40)))) = meet(X_40,complement(meet(top,complement(X_40)))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_40,join(zero,complement(complement(X_40)))),meet(X_40,join(zero,complement(complement(X_40))))) ),[1,1],$fot(complement(meet(top,complement(X_40))))]]) ).
cnf(refute_0_1022,plain,
( join(zero,complement(complement(X_40))) != complement(meet(top,complement(X_40)))
| meet(X_40,join(zero,complement(complement(X_40)))) = meet(X_40,complement(meet(top,complement(X_40)))) ),
inference(resolve,[$cnf( $equal(meet(X_40,join(zero,complement(complement(X_40)))),meet(X_40,join(zero,complement(complement(X_40))))) )],[refute_0_1020,refute_0_1021]) ).
cnf(refute_0_1023,plain,
meet(X_40,join(zero,complement(complement(X_40)))) = meet(X_40,complement(meet(top,complement(X_40)))),
inference(resolve,[$cnf( $equal(join(zero,complement(complement(X_40))),complement(meet(top,complement(X_40)))) )],[refute_0_1019,refute_0_1022]) ).
cnf(refute_0_1024,plain,
join(zero,meet(X_40,join(zero,complement(complement(X_40))))) = join(zero,meet(X_40,join(zero,complement(complement(X_40))))),
introduced(tautology,[refl,[$fot(join(zero,meet(X_40,join(zero,complement(complement(X_40))))))]]) ).
cnf(refute_0_1025,plain,
( join(zero,meet(X_40,join(zero,complement(complement(X_40))))) != join(zero,meet(X_40,join(zero,complement(complement(X_40)))))
| meet(X_40,join(zero,complement(complement(X_40)))) != meet(X_40,complement(meet(top,complement(X_40))))
| join(zero,meet(X_40,join(zero,complement(complement(X_40))))) = join(zero,meet(X_40,complement(meet(top,complement(X_40))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(X_40,join(zero,complement(complement(X_40))))),join(zero,meet(X_40,join(zero,complement(complement(X_40)))))) ),[1,1],$fot(meet(X_40,complement(meet(top,complement(X_40)))))]]) ).
cnf(refute_0_1026,plain,
( meet(X_40,join(zero,complement(complement(X_40)))) != meet(X_40,complement(meet(top,complement(X_40))))
| join(zero,meet(X_40,join(zero,complement(complement(X_40))))) = join(zero,meet(X_40,complement(meet(top,complement(X_40))))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_40,join(zero,complement(complement(X_40))))),join(zero,meet(X_40,join(zero,complement(complement(X_40)))))) )],[refute_0_1024,refute_0_1025]) ).
cnf(refute_0_1027,plain,
join(zero,meet(X_40,join(zero,complement(complement(X_40))))) = join(zero,meet(X_40,complement(meet(top,complement(X_40))))),
inference(resolve,[$cnf( $equal(meet(X_40,join(zero,complement(complement(X_40)))),meet(X_40,complement(meet(top,complement(X_40))))) )],[refute_0_1023,refute_0_1026]) ).
cnf(refute_0_1028,plain,
( X_40 != join(zero,meet(X_40,join(zero,complement(complement(X_40)))))
| join(zero,meet(X_40,join(zero,complement(complement(X_40))))) != join(zero,meet(X_40,complement(meet(top,complement(X_40)))))
| X_40 = join(zero,meet(X_40,complement(meet(top,complement(X_40))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_40,join(zero,meet(X_40,complement(meet(top,complement(X_40)))))) ),[0],$fot(join(zero,meet(X_40,join(zero,complement(complement(X_40))))))]]) ).
cnf(refute_0_1029,plain,
( X_40 != join(zero,meet(X_40,join(zero,complement(complement(X_40)))))
| X_40 = join(zero,meet(X_40,complement(meet(top,complement(X_40))))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_40,join(zero,complement(complement(X_40))))),join(zero,meet(X_40,complement(meet(top,complement(X_40)))))) )],[refute_0_1027,refute_0_1028]) ).
cnf(refute_0_1030,plain,
X_40 = join(zero,meet(X_40,complement(meet(top,complement(X_40))))),
inference(resolve,[$cnf( $equal(X_40,join(zero,meet(X_40,join(zero,complement(complement(X_40)))))) )],[refute_0_1018,refute_0_1029]) ).
cnf(refute_0_1031,plain,
complement(meet(top,complement(X_40))) = join(zero,X_40),
inference(subst,[],[refute_0_713:[bind(X_74,$fot(X_40))]]) ).
cnf(refute_0_1032,plain,
meet(X_40,complement(meet(top,complement(X_40)))) = meet(X_40,complement(meet(top,complement(X_40)))),
introduced(tautology,[refl,[$fot(meet(X_40,complement(meet(top,complement(X_40)))))]]) ).
cnf(refute_0_1033,plain,
( complement(meet(top,complement(X_40))) != join(zero,X_40)
| meet(X_40,complement(meet(top,complement(X_40)))) != meet(X_40,complement(meet(top,complement(X_40))))
| meet(X_40,complement(meet(top,complement(X_40)))) = meet(X_40,join(zero,X_40)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_40,complement(meet(top,complement(X_40)))),meet(X_40,complement(meet(top,complement(X_40))))) ),[1,1],$fot(join(zero,X_40))]]) ).
cnf(refute_0_1034,plain,
( complement(meet(top,complement(X_40))) != join(zero,X_40)
| meet(X_40,complement(meet(top,complement(X_40)))) = meet(X_40,join(zero,X_40)) ),
inference(resolve,[$cnf( $equal(meet(X_40,complement(meet(top,complement(X_40)))),meet(X_40,complement(meet(top,complement(X_40))))) )],[refute_0_1032,refute_0_1033]) ).
cnf(refute_0_1035,plain,
meet(X_40,complement(meet(top,complement(X_40)))) = meet(X_40,join(zero,X_40)),
inference(resolve,[$cnf( $equal(complement(meet(top,complement(X_40))),join(zero,X_40)) )],[refute_0_1031,refute_0_1034]) ).
cnf(refute_0_1036,plain,
join(zero,meet(X_40,complement(meet(top,complement(X_40))))) = join(zero,meet(X_40,complement(meet(top,complement(X_40))))),
introduced(tautology,[refl,[$fot(join(zero,meet(X_40,complement(meet(top,complement(X_40))))))]]) ).
cnf(refute_0_1037,plain,
( join(zero,meet(X_40,complement(meet(top,complement(X_40))))) != join(zero,meet(X_40,complement(meet(top,complement(X_40)))))
| meet(X_40,complement(meet(top,complement(X_40)))) != meet(X_40,join(zero,X_40))
| join(zero,meet(X_40,complement(meet(top,complement(X_40))))) = join(zero,meet(X_40,join(zero,X_40))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(X_40,complement(meet(top,complement(X_40))))),join(zero,meet(X_40,complement(meet(top,complement(X_40)))))) ),[1,1],$fot(meet(X_40,join(zero,X_40)))]]) ).
cnf(refute_0_1038,plain,
( meet(X_40,complement(meet(top,complement(X_40)))) != meet(X_40,join(zero,X_40))
| join(zero,meet(X_40,complement(meet(top,complement(X_40))))) = join(zero,meet(X_40,join(zero,X_40))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_40,complement(meet(top,complement(X_40))))),join(zero,meet(X_40,complement(meet(top,complement(X_40)))))) )],[refute_0_1036,refute_0_1037]) ).
cnf(refute_0_1039,plain,
join(zero,meet(X_40,complement(meet(top,complement(X_40))))) = join(zero,meet(X_40,join(zero,X_40))),
inference(resolve,[$cnf( $equal(meet(X_40,complement(meet(top,complement(X_40)))),meet(X_40,join(zero,X_40))) )],[refute_0_1035,refute_0_1038]) ).
cnf(refute_0_1040,plain,
( X_40 != join(zero,meet(X_40,complement(meet(top,complement(X_40)))))
| join(zero,meet(X_40,complement(meet(top,complement(X_40))))) != join(zero,meet(X_40,join(zero,X_40)))
| X_40 = join(zero,meet(X_40,join(zero,X_40))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_40,join(zero,meet(X_40,join(zero,X_40)))) ),[0],$fot(join(zero,meet(X_40,complement(meet(top,complement(X_40))))))]]) ).
cnf(refute_0_1041,plain,
( X_40 != join(zero,meet(X_40,complement(meet(top,complement(X_40)))))
| X_40 = join(zero,meet(X_40,join(zero,X_40))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_40,complement(meet(top,complement(X_40))))),join(zero,meet(X_40,join(zero,X_40)))) )],[refute_0_1039,refute_0_1040]) ).
cnf(refute_0_1042,plain,
X_40 = join(zero,meet(X_40,join(zero,X_40))),
inference(resolve,[$cnf( $equal(X_40,join(zero,meet(X_40,complement(meet(top,complement(X_40)))))) )],[refute_0_1030,refute_0_1041]) ).
cnf(refute_0_1043,plain,
meet(X_40,X_40) = join(zero,meet(meet(X_40,X_40),join(zero,meet(X_40,X_40)))),
inference(subst,[],[refute_0_1042:[bind(X_40,$fot(meet(X_40,X_40)))]]) ).
cnf(refute_0_1044,plain,
( join(zero,meet(X_40,X_40)) != X_40
| meet(X_40,X_40) != join(zero,meet(meet(X_40,X_40),join(zero,meet(X_40,X_40))))
| meet(X_40,X_40) = join(zero,meet(meet(X_40,X_40),X_40)) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_40,X_40),join(zero,meet(meet(X_40,X_40),join(zero,meet(X_40,X_40))))) ),[1,1,1],$fot(X_40)]]) ).
cnf(refute_0_1045,plain,
( meet(X_40,X_40) != join(zero,meet(meet(X_40,X_40),join(zero,meet(X_40,X_40))))
| meet(X_40,X_40) = join(zero,meet(meet(X_40,X_40),X_40)) ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_40,X_40)),X_40) )],[refute_0_536,refute_0_1044]) ).
cnf(refute_0_1046,plain,
meet(X_40,X_40) = join(zero,meet(meet(X_40,X_40),X_40)),
inference(resolve,[$cnf( $equal(meet(X_40,X_40),join(zero,meet(meet(X_40,X_40),join(zero,meet(X_40,X_40))))) )],[refute_0_1043,refute_0_1045]) ).
cnf(refute_0_1047,plain,
X0 = join(meet(X0,meet(X0,X0)),complement(join(complement(X0),meet(X0,X0)))),
inference(subst,[],[refute_0_106:[bind(X1,$fot(meet(X0,X0)))]]) ).
cnf(refute_0_1048,plain,
join(complement(X0),meet(X0,X0)) = top,
inference(subst,[],[refute_0_760:[bind(X1,$fot(X0))]]) ).
cnf(refute_0_1049,plain,
( X0 != join(meet(X0,meet(X0,X0)),complement(join(complement(X0),meet(X0,X0))))
| join(complement(X0),meet(X0,X0)) != top
| X0 = join(meet(X0,meet(X0,X0)),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(X0,join(meet(X0,meet(X0,X0)),complement(join(complement(X0),meet(X0,X0))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_0_1050,plain,
( X0 != join(meet(X0,meet(X0,X0)),complement(join(complement(X0),meet(X0,X0))))
| X0 = join(meet(X0,meet(X0,X0)),complement(top)) ),
inference(resolve,[$cnf( $equal(join(complement(X0),meet(X0,X0)),top) )],[refute_0_1048,refute_0_1049]) ).
cnf(refute_0_1051,plain,
X0 = join(meet(X0,meet(X0,X0)),complement(top)),
inference(resolve,[$cnf( $equal(X0,join(meet(X0,meet(X0,X0)),complement(join(complement(X0),meet(X0,X0))))) )],[refute_0_1047,refute_0_1050]) ).
cnf(refute_0_1052,plain,
join(complement(top),meet(X0,meet(X0,X0))) = join(complement(top),meet(X0,meet(X0,X0))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(X0,meet(X0,X0))))]]) ).
cnf(refute_0_1053,plain,
( complement(top) != zero
| join(complement(top),meet(X0,meet(X0,X0))) != join(complement(top),meet(X0,meet(X0,X0)))
| join(complement(top),meet(X0,meet(X0,X0))) = join(zero,meet(X0,meet(X0,X0))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(X0,meet(X0,X0))),join(complement(top),meet(X0,meet(X0,X0)))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_1054,plain,
( complement(top) != zero
| join(complement(top),meet(X0,meet(X0,X0))) = join(zero,meet(X0,meet(X0,X0))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X0,meet(X0,X0))),join(complement(top),meet(X0,meet(X0,X0)))) )],[refute_0_1052,refute_0_1053]) ).
cnf(refute_0_1055,plain,
join(complement(top),meet(X0,meet(X0,X0))) = join(zero,meet(X0,meet(X0,X0))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_141,refute_0_1054]) ).
cnf(refute_0_1056,plain,
join(meet(X0,meet(X0,X0)),complement(top)) = join(complement(top),meet(X0,meet(X0,X0))),
inference(subst,[],[refute_0_9:[bind(X0,$fot(complement(top))),bind(X1,$fot(meet(X0,meet(X0,X0))))]]) ).
cnf(refute_0_1057,plain,
( join(complement(top),meet(X0,meet(X0,X0))) != join(zero,meet(X0,meet(X0,X0)))
| join(meet(X0,meet(X0,X0)),complement(top)) != join(complement(top),meet(X0,meet(X0,X0)))
| join(meet(X0,meet(X0,X0)),complement(top)) = join(zero,meet(X0,meet(X0,X0))) ),
inference(subst,[],[refute_0_100:[bind(X,$fot(join(meet(X0,meet(X0,X0)),complement(top)))),bind(Y,$fot(join(complement(top),meet(X0,meet(X0,X0))))),bind(Z,$fot(join(zero,meet(X0,meet(X0,X0)))))]]) ).
cnf(refute_0_1058,plain,
( join(complement(top),meet(X0,meet(X0,X0))) != join(zero,meet(X0,meet(X0,X0)))
| join(meet(X0,meet(X0,X0)),complement(top)) = join(zero,meet(X0,meet(X0,X0))) ),
inference(resolve,[$cnf( $equal(join(meet(X0,meet(X0,X0)),complement(top)),join(complement(top),meet(X0,meet(X0,X0)))) )],[refute_0_1056,refute_0_1057]) ).
cnf(refute_0_1059,plain,
join(meet(X0,meet(X0,X0)),complement(top)) = join(zero,meet(X0,meet(X0,X0))),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X0,meet(X0,X0))),join(zero,meet(X0,meet(X0,X0)))) )],[refute_0_1055,refute_0_1058]) ).
cnf(refute_0_1060,plain,
( X0 != join(meet(X0,meet(X0,X0)),complement(top))
| join(meet(X0,meet(X0,X0)),complement(top)) != join(zero,meet(X0,meet(X0,X0)))
| X0 = join(zero,meet(X0,meet(X0,X0))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X0,join(zero,meet(X0,meet(X0,X0)))) ),[0],$fot(join(meet(X0,meet(X0,X0)),complement(top)))]]) ).
cnf(refute_0_1061,plain,
( X0 != join(meet(X0,meet(X0,X0)),complement(top))
| X0 = join(zero,meet(X0,meet(X0,X0))) ),
inference(resolve,[$cnf( $equal(join(meet(X0,meet(X0,X0)),complement(top)),join(zero,meet(X0,meet(X0,X0)))) )],[refute_0_1059,refute_0_1060]) ).
cnf(refute_0_1062,plain,
X0 = join(zero,meet(X0,meet(X0,X0))),
inference(resolve,[$cnf( $equal(X0,join(meet(X0,meet(X0,X0)),complement(top))) )],[refute_0_1051,refute_0_1061]) ).
cnf(refute_0_1063,plain,
( X0 != join(zero,meet(X0,meet(X0,X0)))
| join(zero,meet(X0,meet(X0,X0))) = X0 ),
inference(subst,[],[refute_0_7:[bind(X,$fot(X0)),bind(Y,$fot(join(zero,meet(X0,meet(X0,X0)))))]]) ).
cnf(refute_0_1064,plain,
join(zero,meet(X0,meet(X0,X0))) = X0,
inference(resolve,[$cnf( $equal(X0,join(zero,meet(X0,meet(X0,X0)))) )],[refute_0_1062,refute_0_1063]) ).
cnf(refute_0_1065,plain,
join(zero,meet(X_40,meet(X_40,X_40))) = X_40,
inference(subst,[],[refute_0_1064:[bind(X0,$fot(X_40))]]) ).
cnf(refute_0_1066,plain,
meet(meet(X_40,X_40),X_40) = meet(X_40,meet(X_40,X_40)),
inference(subst,[],[refute_0_273:[bind(X_14,$fot(X_40)),bind(X_15,$fot(meet(X_40,X_40)))]]) ).
cnf(refute_0_1067,plain,
join(zero,meet(meet(X_40,X_40),X_40)) = join(zero,meet(meet(X_40,X_40),X_40)),
introduced(tautology,[refl,[$fot(join(zero,meet(meet(X_40,X_40),X_40)))]]) ).
cnf(refute_0_1068,plain,
( join(zero,meet(meet(X_40,X_40),X_40)) != join(zero,meet(meet(X_40,X_40),X_40))
| meet(meet(X_40,X_40),X_40) != meet(X_40,meet(X_40,X_40))
| join(zero,meet(meet(X_40,X_40),X_40)) = join(zero,meet(X_40,meet(X_40,X_40))) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(meet(X_40,X_40),X_40)),join(zero,meet(meet(X_40,X_40),X_40))) ),[1,1],$fot(meet(X_40,meet(X_40,X_40)))]]) ).
cnf(refute_0_1069,plain,
( meet(meet(X_40,X_40),X_40) != meet(X_40,meet(X_40,X_40))
| join(zero,meet(meet(X_40,X_40),X_40)) = join(zero,meet(X_40,meet(X_40,X_40))) ),
inference(resolve,[$cnf( $equal(join(zero,meet(meet(X_40,X_40),X_40)),join(zero,meet(meet(X_40,X_40),X_40))) )],[refute_0_1067,refute_0_1068]) ).
cnf(refute_0_1070,plain,
join(zero,meet(meet(X_40,X_40),X_40)) = join(zero,meet(X_40,meet(X_40,X_40))),
inference(resolve,[$cnf( $equal(meet(meet(X_40,X_40),X_40),meet(X_40,meet(X_40,X_40))) )],[refute_0_1066,refute_0_1069]) ).
cnf(refute_0_1071,plain,
( join(zero,meet(X_40,meet(X_40,X_40))) != X_40
| join(zero,meet(meet(X_40,X_40),X_40)) != join(zero,meet(X_40,meet(X_40,X_40)))
| join(zero,meet(meet(X_40,X_40),X_40)) = X_40 ),
inference(subst,[],[refute_0_100:[bind(X,$fot(join(zero,meet(meet(X_40,X_40),X_40)))),bind(Y,$fot(join(zero,meet(X_40,meet(X_40,X_40))))),bind(Z,$fot(X_40))]]) ).
cnf(refute_0_1072,plain,
( join(zero,meet(X_40,meet(X_40,X_40))) != X_40
| join(zero,meet(meet(X_40,X_40),X_40)) = X_40 ),
inference(resolve,[$cnf( $equal(join(zero,meet(meet(X_40,X_40),X_40)),join(zero,meet(X_40,meet(X_40,X_40)))) )],[refute_0_1070,refute_0_1071]) ).
cnf(refute_0_1073,plain,
join(zero,meet(meet(X_40,X_40),X_40)) = X_40,
inference(resolve,[$cnf( $equal(join(zero,meet(X_40,meet(X_40,X_40))),X_40) )],[refute_0_1065,refute_0_1072]) ).
cnf(refute_0_1074,plain,
( join(zero,meet(meet(X_40,X_40),X_40)) != X_40
| meet(X_40,X_40) != join(zero,meet(meet(X_40,X_40),X_40))
| meet(X_40,X_40) = X_40 ),
introduced(tautology,[equality,[$cnf( $equal(meet(X_40,X_40),join(zero,meet(meet(X_40,X_40),X_40))) ),[1],$fot(X_40)]]) ).
cnf(refute_0_1075,plain,
( meet(X_40,X_40) != join(zero,meet(meet(X_40,X_40),X_40))
| meet(X_40,X_40) = X_40 ),
inference(resolve,[$cnf( $equal(join(zero,meet(meet(X_40,X_40),X_40)),X_40) )],[refute_0_1073,refute_0_1074]) ).
cnf(refute_0_1076,plain,
meet(X_40,X_40) = X_40,
inference(resolve,[$cnf( $equal(meet(X_40,X_40),join(zero,meet(meet(X_40,X_40),X_40))) )],[refute_0_1046,refute_0_1075]) ).
cnf(refute_0_1077,plain,
join(zero,meet(X_40,X_40)) = join(zero,meet(X_40,X_40)),
introduced(tautology,[refl,[$fot(join(zero,meet(X_40,X_40)))]]) ).
cnf(refute_0_1078,plain,
( join(zero,meet(X_40,X_40)) != join(zero,meet(X_40,X_40))
| meet(X_40,X_40) != X_40
| join(zero,meet(X_40,X_40)) = join(zero,X_40) ),
introduced(tautology,[equality,[$cnf( $equal(join(zero,meet(X_40,X_40)),join(zero,meet(X_40,X_40))) ),[1,1],$fot(X_40)]]) ).
cnf(refute_0_1079,plain,
( meet(X_40,X_40) != X_40
| join(zero,meet(X_40,X_40)) = join(zero,X_40) ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_40,X_40)),join(zero,meet(X_40,X_40))) )],[refute_0_1077,refute_0_1078]) ).
cnf(refute_0_1080,plain,
join(zero,meet(X_40,X_40)) = join(zero,X_40),
inference(resolve,[$cnf( $equal(meet(X_40,X_40),X_40) )],[refute_0_1076,refute_0_1079]) ).
cnf(refute_0_1081,plain,
( X_40 != join(zero,meet(X_40,X_40))
| join(zero,meet(X_40,X_40)) != join(zero,X_40)
| X_40 = join(zero,X_40) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_40,join(zero,X_40)) ),[0],$fot(join(zero,meet(X_40,X_40)))]]) ).
cnf(refute_0_1082,plain,
( X_40 != join(zero,meet(X_40,X_40))
| X_40 = join(zero,X_40) ),
inference(resolve,[$cnf( $equal(join(zero,meet(X_40,X_40)),join(zero,X_40)) )],[refute_0_1080,refute_0_1081]) ).
cnf(refute_0_1083,plain,
X_40 = join(zero,X_40),
inference(resolve,[$cnf( $equal(X_40,join(zero,meet(X_40,X_40))) )],[refute_0_534,refute_0_1082]) ).
cnf(refute_0_1084,plain,
( X_40 != join(zero,X_40)
| join(zero,X_40) = X_40 ),
inference(subst,[],[refute_0_7:[bind(X,$fot(X_40)),bind(Y,$fot(join(zero,X_40)))]]) ).
cnf(refute_0_1085,plain,
join(zero,X_40) = X_40,
inference(resolve,[$cnf( $equal(X_40,join(zero,X_40)) )],[refute_0_1083,refute_0_1084]) ).
cnf(refute_0_1086,plain,
join(zero,meet(top,X_40)) = meet(top,X_40),
inference(subst,[],[refute_0_1085:[bind(X_40,$fot(meet(top,X_40)))]]) ).
cnf(refute_0_1087,plain,
( X_40 != join(zero,meet(top,X_40))
| join(zero,meet(top,X_40)) != meet(top,X_40)
| X_40 = meet(top,X_40) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_40,meet(top,X_40)) ),[0],$fot(join(zero,meet(top,X_40)))]]) ).
cnf(refute_0_1088,plain,
( X_40 != join(zero,meet(top,X_40))
| X_40 = meet(top,X_40) ),
inference(resolve,[$cnf( $equal(join(zero,meet(top,X_40)),meet(top,X_40)) )],[refute_0_1086,refute_0_1087]) ).
cnf(refute_0_1089,plain,
X_40 = meet(top,X_40),
inference(resolve,[$cnf( $equal(X_40,join(zero,meet(top,X_40))) )],[refute_0_985,refute_0_1088]) ).
cnf(refute_0_1090,plain,
( X_40 != meet(top,X_40)
| meet(top,X_40) = X_40 ),
inference(subst,[],[refute_0_7:[bind(X,$fot(X_40)),bind(Y,$fot(meet(top,X_40)))]]) ).
cnf(refute_0_1091,plain,
meet(top,X_40) = X_40,
inference(resolve,[$cnf( $equal(X_40,meet(top,X_40)) )],[refute_0_1089,refute_0_1090]) ).
cnf(refute_0_1092,plain,
meet(top,composition(X_74,join(one,one))) = composition(X_74,join(one,one)),
inference(subst,[],[refute_0_1091:[bind(X_40,$fot(composition(X_74,join(one,one))))]]) ).
cnf(refute_0_1093,plain,
( meet(top,composition(X_74,join(one,one))) != X_74
| meet(top,composition(X_74,join(one,one))) != composition(X_74,join(one,one))
| composition(X_74,join(one,one)) = X_74 ),
introduced(tautology,[equality,[$cnf( $equal(meet(top,composition(X_74,join(one,one))),X_74) ),[0],$fot(composition(X_74,join(one,one)))]]) ).
cnf(refute_0_1094,plain,
( meet(top,composition(X_74,join(one,one))) != X_74
| composition(X_74,join(one,one)) = X_74 ),
inference(resolve,[$cnf( $equal(meet(top,composition(X_74,join(one,one))),composition(X_74,join(one,one))) )],[refute_0_1092,refute_0_1093]) ).
cnf(refute_0_1095,plain,
composition(X_74,join(one,one)) = X_74,
inference(resolve,[$cnf( $equal(meet(top,composition(X_74,join(one,one))),X_74) )],[refute_0_936,refute_0_1094]) ).
cnf(refute_0_1096,plain,
composition(X_4,join(one,one)) = X_4,
inference(subst,[],[refute_0_1095:[bind(X_74,$fot(X_4))]]) ).
cnf(refute_0_1097,plain,
converse(composition(X_4,join(one,one))) = converse(composition(X_4,join(one,one))),
introduced(tautology,[refl,[$fot(converse(composition(X_4,join(one,one))))]]) ).
cnf(refute_0_1098,plain,
( composition(X_4,join(one,one)) != X_4
| converse(composition(X_4,join(one,one))) != converse(composition(X_4,join(one,one)))
| converse(composition(X_4,join(one,one))) = converse(X_4) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(X_4,join(one,one))),converse(composition(X_4,join(one,one)))) ),[1,0],$fot(X_4)]]) ).
cnf(refute_0_1099,plain,
( composition(X_4,join(one,one)) != X_4
| converse(composition(X_4,join(one,one))) = converse(X_4) ),
inference(resolve,[$cnf( $equal(converse(composition(X_4,join(one,one))),converse(composition(X_4,join(one,one)))) )],[refute_0_1097,refute_0_1098]) ).
cnf(refute_0_1100,plain,
converse(composition(X_4,join(one,one))) = converse(X_4),
inference(resolve,[$cnf( $equal(composition(X_4,join(one,one)),X_4) )],[refute_0_1096,refute_0_1099]) ).
cnf(refute_0_1101,plain,
( converse(composition(X_4,join(one,one))) != converse(X_4)
| converse(composition(X_4,join(one,one))) != converse(join(X_4,X_4))
| converse(X_4) = converse(join(X_4,X_4)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(X_4,join(one,one))),converse(join(X_4,X_4))) ),[0],$fot(converse(X_4))]]) ).
cnf(refute_0_1102,plain,
( converse(composition(X_4,join(one,one))) != converse(join(X_4,X_4))
| converse(X_4) = converse(join(X_4,X_4)) ),
inference(resolve,[$cnf( $equal(converse(composition(X_4,join(one,one))),converse(X_4)) )],[refute_0_1100,refute_0_1101]) ).
cnf(refute_0_1103,plain,
converse(X_4) = converse(join(X_4,X_4)),
inference(resolve,[$cnf( $equal(converse(composition(X_4,join(one,one))),converse(join(X_4,X_4))) )],[refute_0_929,refute_0_1102]) ).
cnf(refute_0_1104,plain,
( converse(X_4) != converse(join(X_4,X_4))
| converse(join(X_4,X_4)) = converse(X_4) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(converse(X_4))),bind(Y,$fot(converse(join(X_4,X_4))))]]) ).
cnf(refute_0_1105,plain,
converse(join(X_4,X_4)) = converse(X_4),
inference(resolve,[$cnf( $equal(converse(X_4),converse(join(X_4,X_4))) )],[refute_0_1103,refute_0_1104]) ).
cnf(refute_0_1106,plain,
converse(join(one,one)) = converse(one),
inference(subst,[],[refute_0_1105:[bind(X_4,$fot(one))]]) ).
cnf(refute_0_1107,plain,
( converse(join(one,one)) != converse(one)
| converse(one) != one
| converse(join(one,one)) = one ),
inference(subst,[],[refute_0_100:[bind(X,$fot(converse(join(one,one)))),bind(Y,$fot(converse(one))),bind(Z,$fot(one))]]) ).
cnf(refute_0_1108,plain,
( converse(one) != one
| converse(join(one,one)) = one ),
inference(resolve,[$cnf( $equal(converse(join(one,one)),converse(one)) )],[refute_0_1106,refute_0_1107]) ).
cnf(refute_0_1109,plain,
converse(join(one,one)) = one,
inference(resolve,[$cnf( $equal(converse(one),one) )],[refute_0_42,refute_0_1108]) ).
cnf(refute_0_1110,plain,
( converse(join(one,one)) != join(one,one)
| converse(join(one,one)) != one
| one = join(one,one) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(one,one)),join(one,one)) ),[0],$fot(one)]]) ).
cnf(refute_0_1111,plain,
( converse(join(one,one)) != join(one,one)
| one = join(one,one) ),
inference(resolve,[$cnf( $equal(converse(join(one,one)),one) )],[refute_0_1109,refute_0_1110]) ).
cnf(refute_0_1112,plain,
one = join(one,one),
inference(resolve,[$cnf( $equal(converse(join(one,one)),join(one,one)) )],[refute_0_326,refute_0_1111]) ).
cnf(refute_0_1113,plain,
( one != join(one,one)
| join(one,one) = one ),
inference(subst,[],[refute_0_7:[bind(X,$fot(one)),bind(Y,$fot(join(one,one)))]]) ).
cnf(refute_0_1114,plain,
join(one,one) = one,
inference(resolve,[$cnf( $equal(one,join(one,one)) )],[refute_0_1112,refute_0_1113]) ).
cnf(refute_0_1115,plain,
composition(join(one,one),X_35) = composition(join(one,one),X_35),
introduced(tautology,[refl,[$fot(composition(join(one,one),X_35))]]) ).
cnf(refute_0_1116,plain,
( composition(join(one,one),X_35) != composition(join(one,one),X_35)
| join(one,one) != one
| composition(join(one,one),X_35) = composition(one,X_35) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,one),X_35),composition(join(one,one),X_35)) ),[1,0],$fot(one)]]) ).
cnf(refute_0_1117,plain,
( join(one,one) != one
| composition(join(one,one),X_35) = composition(one,X_35) ),
inference(resolve,[$cnf( $equal(composition(join(one,one),X_35),composition(join(one,one),X_35)) )],[refute_0_1115,refute_0_1116]) ).
cnf(refute_0_1118,plain,
composition(join(one,one),X_35) = composition(one,X_35),
inference(resolve,[$cnf( $equal(join(one,one),one) )],[refute_0_1114,refute_0_1117]) ).
cnf(refute_0_1119,plain,
( composition(join(one,one),X_35) != composition(one,X_35)
| composition(one,X_35) != X_35
| composition(join(one,one),X_35) = X_35 ),
inference(subst,[],[refute_0_100:[bind(X,$fot(composition(join(one,one),X_35))),bind(Y,$fot(composition(one,X_35))),bind(Z,$fot(X_35))]]) ).
cnf(refute_0_1120,plain,
( composition(one,X_35) != X_35
| composition(join(one,one),X_35) = X_35 ),
inference(resolve,[$cnf( $equal(composition(join(one,one),X_35),composition(one,X_35)) )],[refute_0_1118,refute_0_1119]) ).
cnf(refute_0_1121,plain,
composition(join(one,one),X_35) = X_35,
inference(resolve,[$cnf( $equal(composition(one,X_35),X_35) )],[refute_0_292,refute_0_1120]) ).
cnf(refute_0_1122,plain,
( composition(join(one,one),X_35) != X_35
| composition(join(one,one),X_35) != join(X_35,X_35)
| X_35 = join(X_35,X_35) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(one,one),X_35),join(X_35,X_35)) ),[0],$fot(X_35)]]) ).
cnf(refute_0_1123,plain,
( composition(join(one,one),X_35) != join(X_35,X_35)
| X_35 = join(X_35,X_35) ),
inference(resolve,[$cnf( $equal(composition(join(one,one),X_35),X_35) )],[refute_0_1121,refute_0_1122]) ).
cnf(refute_0_1124,plain,
X_35 = join(X_35,X_35),
inference(resolve,[$cnf( $equal(composition(join(one,one),X_35),join(X_35,X_35)) )],[refute_0_295,refute_0_1123]) ).
cnf(refute_0_1125,plain,
join(X_97,X_98) = join(join(X_97,X_98),join(X_97,X_98)),
inference(subst,[],[refute_0_1124:[bind(X_35,$fot(join(X_97,X_98)))]]) ).
cnf(refute_0_1126,plain,
( join(X_97,X_98) != join(join(X_97,X_98),join(X_97,X_98))
| join(join(X_97,X_98),join(X_97,X_98)) = join(X_97,X_98) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(X_97,X_98))),bind(Y,$fot(join(join(X_97,X_98),join(X_97,X_98))))]]) ).
cnf(refute_0_1127,plain,
join(join(X_97,X_98),join(X_97,X_98)) = join(X_97,X_98),
inference(resolve,[$cnf( $equal(join(X_97,X_98),join(join(X_97,X_98),join(X_97,X_98))) )],[refute_0_1125,refute_0_1126]) ).
cnf(refute_0_1128,plain,
( join(join(X_97,X_98),join(X_97,X_98)) != join(X_97,X_98)
| join(join(X_97,X_98),join(X_97,X_98)) != join(join(join(X_97,X_98),X_97),X_98)
| join(X_97,X_98) = join(join(join(X_97,X_98),X_97),X_98) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(X_97,X_98),join(X_97,X_98)),join(join(join(X_97,X_98),X_97),X_98)) ),[0],$fot(join(X_97,X_98))]]) ).
cnf(refute_0_1129,plain,
( join(join(X_97,X_98),join(X_97,X_98)) != join(join(join(X_97,X_98),X_97),X_98)
| join(X_97,X_98) = join(join(join(X_97,X_98),X_97),X_98) ),
inference(resolve,[$cnf( $equal(join(join(X_97,X_98),join(X_97,X_98)),join(X_97,X_98)) )],[refute_0_1127,refute_0_1128]) ).
cnf(refute_0_1130,plain,
join(X_97,X_98) = join(join(join(X_97,X_98),X_97),X_98),
inference(resolve,[$cnf( $equal(join(join(X_97,X_98),join(X_97,X_98)),join(join(join(X_97,X_98),X_97),X_98)) )],[refute_0_909,refute_0_1129]) ).
cnf(refute_0_1131,plain,
composition(join(X0,X1),join(one,one)) = join(composition(X0,join(one,one)),composition(X1,join(one,one))),
inference(subst,[],[refute_0_17:[bind(X2,$fot(join(one,one)))]]) ).
cnf(refute_0_1132,plain,
( join(X0,X0) != composition(X0,join(one,one))
| composition(X0,join(one,one)) = join(X0,X0) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(X0,X0))),bind(Y,$fot(composition(X0,join(one,one))))]]) ).
cnf(refute_0_1133,plain,
composition(X0,join(one,one)) = join(X0,X0),
inference(resolve,[$cnf( $equal(join(X0,X0),composition(X0,join(one,one))) )],[refute_0_334,refute_0_1132]) ).
cnf(refute_0_1134,plain,
( composition(X0,join(one,one)) != join(X0,X0)
| composition(join(X0,X1),join(one,one)) != join(composition(X0,join(one,one)),composition(X1,join(one,one)))
| composition(join(X0,X1),join(one,one)) = join(join(X0,X0),composition(X1,join(one,one))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X0,X1),join(one,one)),join(composition(X0,join(one,one)),composition(X1,join(one,one)))) ),[1,0],$fot(join(X0,X0))]]) ).
cnf(refute_0_1135,plain,
( composition(join(X0,X1),join(one,one)) != join(composition(X0,join(one,one)),composition(X1,join(one,one)))
| composition(join(X0,X1),join(one,one)) = join(join(X0,X0),composition(X1,join(one,one))) ),
inference(resolve,[$cnf( $equal(composition(X0,join(one,one)),join(X0,X0)) )],[refute_0_1133,refute_0_1134]) ).
cnf(refute_0_1136,plain,
composition(join(X0,X1),join(one,one)) = join(join(X0,X0),composition(X1,join(one,one))),
inference(resolve,[$cnf( $equal(composition(join(X0,X1),join(one,one)),join(composition(X0,join(one,one)),composition(X1,join(one,one)))) )],[refute_0_1131,refute_0_1135]) ).
cnf(refute_0_1137,plain,
join(join(X0,X0),composition(X1,join(one,one))) = join(X0,join(X0,composition(X1,join(one,one)))),
inference(subst,[],[refute_0_161:[bind(X1,$fot(X0)),bind(X2,$fot(composition(X1,join(one,one))))]]) ).
cnf(refute_0_1138,plain,
( composition(join(X0,X1),join(one,one)) != join(join(X0,X0),composition(X1,join(one,one)))
| join(join(X0,X0),composition(X1,join(one,one))) != join(X0,join(X0,composition(X1,join(one,one))))
| composition(join(X0,X1),join(one,one)) = join(X0,join(X0,composition(X1,join(one,one)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(composition(join(X0,X1),join(one,one)),join(X0,join(X0,composition(X1,join(one,one))))) ),[0],$fot(join(join(X0,X0),composition(X1,join(one,one))))]]) ).
cnf(refute_0_1139,plain,
( composition(join(X0,X1),join(one,one)) != join(join(X0,X0),composition(X1,join(one,one)))
| composition(join(X0,X1),join(one,one)) = join(X0,join(X0,composition(X1,join(one,one)))) ),
inference(resolve,[$cnf( $equal(join(join(X0,X0),composition(X1,join(one,one))),join(X0,join(X0,composition(X1,join(one,one))))) )],[refute_0_1137,refute_0_1138]) ).
cnf(refute_0_1140,plain,
composition(join(X0,X1),join(one,one)) = join(X0,join(X0,composition(X1,join(one,one)))),
inference(resolve,[$cnf( $equal(composition(join(X0,X1),join(one,one)),join(join(X0,X0),composition(X1,join(one,one)))) )],[refute_0_1136,refute_0_1139]) ).
cnf(refute_0_1141,plain,
composition(join(X0,X1),join(one,one)) = join(X0,X1),
inference(subst,[],[refute_0_1095:[bind(X_74,$fot(join(X0,X1)))]]) ).
cnf(refute_0_1142,plain,
( composition(join(X0,X1),join(one,one)) != join(X0,X1)
| composition(join(X0,X1),join(one,one)) != join(X0,join(X0,composition(X1,join(one,one))))
| join(X0,X1) = join(X0,join(X0,composition(X1,join(one,one)))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(join(X0,X1),join(one,one)),join(X0,join(X0,composition(X1,join(one,one))))) ),[0],$fot(join(X0,X1))]]) ).
cnf(refute_0_1143,plain,
( composition(join(X0,X1),join(one,one)) != join(X0,join(X0,composition(X1,join(one,one))))
| join(X0,X1) = join(X0,join(X0,composition(X1,join(one,one)))) ),
inference(resolve,[$cnf( $equal(composition(join(X0,X1),join(one,one)),join(X0,X1)) )],[refute_0_1141,refute_0_1142]) ).
cnf(refute_0_1144,plain,
composition(X1,join(one,one)) = X1,
inference(subst,[],[refute_0_1095:[bind(X_74,$fot(X1))]]) ).
cnf(refute_0_1145,plain,
join(X0,composition(X1,join(one,one))) = join(X0,composition(X1,join(one,one))),
introduced(tautology,[refl,[$fot(join(X0,composition(X1,join(one,one))))]]) ).
cnf(refute_0_1146,plain,
( composition(X1,join(one,one)) != X1
| join(X0,composition(X1,join(one,one))) != join(X0,composition(X1,join(one,one)))
| join(X0,composition(X1,join(one,one))) = join(X0,X1) ),
introduced(tautology,[equality,[$cnf( $equal(join(X0,composition(X1,join(one,one))),join(X0,composition(X1,join(one,one)))) ),[1,1],$fot(X1)]]) ).
cnf(refute_0_1147,plain,
( composition(X1,join(one,one)) != X1
| join(X0,composition(X1,join(one,one))) = join(X0,X1) ),
inference(resolve,[$cnf( $equal(join(X0,composition(X1,join(one,one))),join(X0,composition(X1,join(one,one)))) )],[refute_0_1145,refute_0_1146]) ).
cnf(refute_0_1148,plain,
join(X0,composition(X1,join(one,one))) = join(X0,X1),
inference(resolve,[$cnf( $equal(composition(X1,join(one,one)),X1) )],[refute_0_1144,refute_0_1147]) ).
cnf(refute_0_1149,plain,
join(X0,join(X0,composition(X1,join(one,one)))) = join(X0,join(X0,composition(X1,join(one,one)))),
introduced(tautology,[refl,[$fot(join(X0,join(X0,composition(X1,join(one,one)))))]]) ).
cnf(refute_0_1150,plain,
( join(X0,composition(X1,join(one,one))) != join(X0,X1)
| join(X0,join(X0,composition(X1,join(one,one)))) != join(X0,join(X0,composition(X1,join(one,one))))
| join(X0,join(X0,composition(X1,join(one,one)))) = join(X0,join(X0,X1)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X0,join(X0,composition(X1,join(one,one)))),join(X0,join(X0,composition(X1,join(one,one))))) ),[1,1],$fot(join(X0,X1))]]) ).
cnf(refute_0_1151,plain,
( join(X0,composition(X1,join(one,one))) != join(X0,X1)
| join(X0,join(X0,composition(X1,join(one,one)))) = join(X0,join(X0,X1)) ),
inference(resolve,[$cnf( $equal(join(X0,join(X0,composition(X1,join(one,one)))),join(X0,join(X0,composition(X1,join(one,one))))) )],[refute_0_1149,refute_0_1150]) ).
cnf(refute_0_1152,plain,
join(X0,join(X0,composition(X1,join(one,one)))) = join(X0,join(X0,X1)),
inference(resolve,[$cnf( $equal(join(X0,composition(X1,join(one,one))),join(X0,X1)) )],[refute_0_1148,refute_0_1151]) ).
cnf(refute_0_1153,plain,
( join(X0,X1) != join(X0,join(X0,composition(X1,join(one,one))))
| join(X0,join(X0,composition(X1,join(one,one)))) != join(X0,join(X0,X1))
| join(X0,X1) = join(X0,join(X0,X1)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X0,X1),join(X0,join(X0,X1))) ),[0],$fot(join(X0,join(X0,composition(X1,join(one,one)))))]]) ).
cnf(refute_0_1154,plain,
( join(X0,X1) != join(X0,join(X0,composition(X1,join(one,one))))
| join(X0,X1) = join(X0,join(X0,X1)) ),
inference(resolve,[$cnf( $equal(join(X0,join(X0,composition(X1,join(one,one)))),join(X0,join(X0,X1))) )],[refute_0_1152,refute_0_1153]) ).
cnf(refute_0_1155,plain,
( composition(join(X0,X1),join(one,one)) != join(X0,join(X0,composition(X1,join(one,one))))
| join(X0,X1) = join(X0,join(X0,X1)) ),
inference(resolve,[$cnf( $equal(join(X0,X1),join(X0,join(X0,composition(X1,join(one,one))))) )],[refute_0_1143,refute_0_1154]) ).
cnf(refute_0_1156,plain,
join(X0,X1) = join(X0,join(X0,X1)),
inference(resolve,[$cnf( $equal(composition(join(X0,X1),join(one,one)),join(X0,join(X0,composition(X1,join(one,one))))) )],[refute_0_1140,refute_0_1155]) ).
cnf(refute_0_1157,plain,
( join(X0,X1) != join(X0,join(X0,X1))
| join(X0,join(X0,X1)) = join(X0,X1) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(X0,X1))),bind(Y,$fot(join(X0,join(X0,X1))))]]) ).
cnf(refute_0_1158,plain,
join(X0,join(X0,X1)) = join(X0,X1),
inference(resolve,[$cnf( $equal(join(X0,X1),join(X0,join(X0,X1))) )],[refute_0_1156,refute_0_1157]) ).
cnf(refute_0_1159,plain,
join(X_97,join(X_97,X_98)) = join(X_97,X_98),
inference(subst,[],[refute_0_1158:[bind(X0,$fot(X_97)),bind(X1,$fot(X_98))]]) ).
cnf(refute_0_1160,plain,
join(X_98,join(X_97,join(X_97,X_98))) = join(X_98,join(X_97,join(X_97,X_98))),
introduced(tautology,[refl,[$fot(join(X_98,join(X_97,join(X_97,X_98))))]]) ).
cnf(refute_0_1161,plain,
( join(X_97,join(X_97,X_98)) != join(X_97,X_98)
| join(X_98,join(X_97,join(X_97,X_98))) != join(X_98,join(X_97,join(X_97,X_98)))
| join(X_98,join(X_97,join(X_97,X_98))) = join(X_98,join(X_97,X_98)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_98,join(X_97,join(X_97,X_98))),join(X_98,join(X_97,join(X_97,X_98)))) ),[1,1],$fot(join(X_97,X_98))]]) ).
cnf(refute_0_1162,plain,
( join(X_97,join(X_97,X_98)) != join(X_97,X_98)
| join(X_98,join(X_97,join(X_97,X_98))) = join(X_98,join(X_97,X_98)) ),
inference(resolve,[$cnf( $equal(join(X_98,join(X_97,join(X_97,X_98))),join(X_98,join(X_97,join(X_97,X_98)))) )],[refute_0_1160,refute_0_1161]) ).
cnf(refute_0_1163,plain,
join(X_98,join(X_97,join(X_97,X_98))) = join(X_98,join(X_97,X_98)),
inference(resolve,[$cnf( $equal(join(X_97,join(X_97,X_98)),join(X_97,X_98)) )],[refute_0_1159,refute_0_1162]) ).
cnf(refute_0_1164,plain,
join(X_96,join(X_97,X_98)) = join(join(X_96,X_97),X_98),
inference(subst,[],[refute_0_61:[bind(X0,$fot(X_96)),bind(X1,$fot(X_97)),bind(X2,$fot(X_98))]]) ).
cnf(refute_0_1165,plain,
join(X_98,X_97) = join(X_97,X_98),
inference(subst,[],[refute_0_4:[bind(X0,$fot(X_98)),bind(X1,$fot(X_97))]]) ).
cnf(refute_0_1166,plain,
( join(X_98,X_97) != join(X_97,X_98)
| join(X_97,X_98) = join(X_98,X_97) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(X_98,X_97))),bind(Y,$fot(join(X_97,X_98)))]]) ).
cnf(refute_0_1167,plain,
join(X_97,X_98) = join(X_98,X_97),
inference(resolve,[$cnf( $equal(join(X_98,X_97),join(X_97,X_98)) )],[refute_0_1165,refute_0_1166]) ).
cnf(refute_0_1168,plain,
( join(X_96,join(X_97,X_98)) != join(join(X_96,X_97),X_98)
| join(X_97,X_98) != join(X_98,X_97)
| join(X_96,join(X_98,X_97)) = join(join(X_96,X_97),X_98) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_96,join(X_97,X_98)),join(join(X_96,X_97),X_98)) ),[0,1],$fot(join(X_98,X_97))]]) ).
cnf(refute_0_1169,plain,
( join(X_96,join(X_97,X_98)) != join(join(X_96,X_97),X_98)
| join(X_96,join(X_98,X_97)) = join(join(X_96,X_97),X_98) ),
inference(resolve,[$cnf( $equal(join(X_97,X_98),join(X_98,X_97)) )],[refute_0_1167,refute_0_1168]) ).
cnf(refute_0_1170,plain,
join(X_96,join(X_98,X_97)) = join(join(X_96,X_97),X_98),
inference(resolve,[$cnf( $equal(join(X_96,join(X_97,X_98)),join(join(X_96,X_97),X_98)) )],[refute_0_1164,refute_0_1169]) ).
cnf(refute_0_1171,plain,
join(join(X_96,X_97),X_98) = join(X_96,join(X_97,X_98)),
inference(subst,[],[refute_0_161:[bind(X0,$fot(X_96)),bind(X1,$fot(X_97)),bind(X2,$fot(X_98))]]) ).
cnf(refute_0_1172,plain,
( join(X_96,join(X_98,X_97)) != join(join(X_96,X_97),X_98)
| join(join(X_96,X_97),X_98) != join(X_96,join(X_97,X_98))
| join(X_96,join(X_98,X_97)) = join(X_96,join(X_97,X_98)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_96,join(X_98,X_97)),join(X_96,join(X_97,X_98))) ),[0],$fot(join(join(X_96,X_97),X_98))]]) ).
cnf(refute_0_1173,plain,
( join(X_96,join(X_98,X_97)) != join(join(X_96,X_97),X_98)
| join(X_96,join(X_98,X_97)) = join(X_96,join(X_97,X_98)) ),
inference(resolve,[$cnf( $equal(join(join(X_96,X_97),X_98),join(X_96,join(X_97,X_98))) )],[refute_0_1171,refute_0_1172]) ).
cnf(refute_0_1174,plain,
join(X_96,join(X_98,X_97)) = join(X_96,join(X_97,X_98)),
inference(resolve,[$cnf( $equal(join(X_96,join(X_98,X_97)),join(join(X_96,X_97),X_98)) )],[refute_0_1170,refute_0_1173]) ).
cnf(refute_0_1175,plain,
( join(X_96,join(X_98,X_97)) != join(X_96,join(X_97,X_98))
| join(X_96,join(X_97,X_98)) = join(X_96,join(X_98,X_97)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(X_96,join(X_98,X_97)))),bind(Y,$fot(join(X_96,join(X_97,X_98))))]]) ).
cnf(refute_0_1176,plain,
join(X_96,join(X_97,X_98)) = join(X_96,join(X_98,X_97)),
inference(resolve,[$cnf( $equal(join(X_96,join(X_98,X_97)),join(X_96,join(X_97,X_98))) )],[refute_0_1174,refute_0_1175]) ).
cnf(refute_0_1177,plain,
join(X_98,join(join(X_97,X_98),X_97)) = join(X_98,join(X_97,join(X_97,X_98))),
inference(subst,[],[refute_0_1176:[bind(X_96,$fot(X_98)),bind(X_97,$fot(join(X_97,X_98))),bind(X_98,$fot(X_97))]]) ).
cnf(refute_0_1178,plain,
join(X0,join(X_96,X_97)) = join(join(X_96,X_97),X0),
inference(subst,[],[refute_0_4:[bind(X1,$fot(join(X_96,X_97)))]]) ).
cnf(refute_0_1179,plain,
join(X_96,join(X_97,X0)) = join(join(X_96,X_97),X0),
inference(subst,[],[refute_0_61:[bind(X0,$fot(X_96)),bind(X1,$fot(X_97)),bind(X2,$fot(X0))]]) ).
cnf(refute_0_1180,plain,
( join(X_96,join(X_97,X0)) != join(join(X_96,X_97),X0)
| join(join(X_96,X_97),X0) = join(X_96,join(X_97,X0)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(X_96,join(X_97,X0)))),bind(Y,$fot(join(join(X_96,X_97),X0)))]]) ).
cnf(refute_0_1181,plain,
join(join(X_96,X_97),X0) = join(X_96,join(X_97,X0)),
inference(resolve,[$cnf( $equal(join(X_96,join(X_97,X0)),join(join(X_96,X_97),X0)) )],[refute_0_1179,refute_0_1180]) ).
cnf(refute_0_1182,plain,
( join(X0,join(X_96,X_97)) != join(join(X_96,X_97),X0)
| join(join(X_96,X_97),X0) != join(X_96,join(X_97,X0))
| join(X0,join(X_96,X_97)) = join(X_96,join(X_97,X0)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X0,join(X_96,X_97)),join(X_96,join(X_97,X0))) ),[0],$fot(join(join(X_96,X_97),X0))]]) ).
cnf(refute_0_1183,plain,
( join(X0,join(X_96,X_97)) != join(join(X_96,X_97),X0)
| join(X0,join(X_96,X_97)) = join(X_96,join(X_97,X0)) ),
inference(resolve,[$cnf( $equal(join(join(X_96,X_97),X0),join(X_96,join(X_97,X0))) )],[refute_0_1181,refute_0_1182]) ).
cnf(refute_0_1184,plain,
join(X0,join(X_96,X_97)) = join(X_96,join(X_97,X0)),
inference(resolve,[$cnf( $equal(join(X0,join(X_96,X_97)),join(join(X_96,X_97),X0)) )],[refute_0_1178,refute_0_1183]) ).
cnf(refute_0_1185,plain,
( join(X0,join(X_96,X_97)) != join(X_96,join(X_97,X0))
| join(X_96,join(X_97,X0)) = join(X0,join(X_96,X_97)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(X0,join(X_96,X_97)))),bind(Y,$fot(join(X_96,join(X_97,X0))))]]) ).
cnf(refute_0_1186,plain,
join(X_96,join(X_97,X0)) = join(X0,join(X_96,X_97)),
inference(resolve,[$cnf( $equal(join(X0,join(X_96,X_97)),join(X_96,join(X_97,X0))) )],[refute_0_1184,refute_0_1185]) ).
cnf(refute_0_1187,plain,
join(join(X_97,X_98),join(X_97,X_98)) = join(X_98,join(join(X_97,X_98),X_97)),
inference(subst,[],[refute_0_1186:[bind(X0,$fot(X_98)),bind(X_96,$fot(join(X_97,X_98)))]]) ).
cnf(refute_0_1188,plain,
( join(X_98,join(join(X_97,X_98),X_97)) != join(X_98,join(X_97,join(X_97,X_98)))
| join(join(X_97,X_98),join(X_97,X_98)) != join(X_98,join(join(X_97,X_98),X_97))
| join(join(X_97,X_98),join(X_97,X_98)) = join(X_98,join(X_97,join(X_97,X_98))) ),
inference(subst,[],[refute_0_100:[bind(X,$fot(join(join(X_97,X_98),join(X_97,X_98)))),bind(Y,$fot(join(X_98,join(join(X_97,X_98),X_97)))),bind(Z,$fot(join(X_98,join(X_97,join(X_97,X_98)))))]]) ).
cnf(refute_0_1189,plain,
( join(X_98,join(join(X_97,X_98),X_97)) != join(X_98,join(X_97,join(X_97,X_98)))
| join(join(X_97,X_98),join(X_97,X_98)) = join(X_98,join(X_97,join(X_97,X_98))) ),
inference(resolve,[$cnf( $equal(join(join(X_97,X_98),join(X_97,X_98)),join(X_98,join(join(X_97,X_98),X_97))) )],[refute_0_1187,refute_0_1188]) ).
cnf(refute_0_1190,plain,
join(join(X_97,X_98),join(X_97,X_98)) = join(X_98,join(X_97,join(X_97,X_98))),
inference(resolve,[$cnf( $equal(join(X_98,join(join(X_97,X_98),X_97)),join(X_98,join(X_97,join(X_97,X_98)))) )],[refute_0_1177,refute_0_1189]) ).
cnf(refute_0_1191,plain,
join(join(join(X_97,X_98),X_97),X_98) = join(join(X_97,X_98),join(X_97,X_98)),
inference(subst,[],[refute_0_161:[bind(X0,$fot(join(X_97,X_98))),bind(X1,$fot(X_97)),bind(X2,$fot(X_98))]]) ).
cnf(refute_0_1192,plain,
( join(join(X_97,X_98),join(X_97,X_98)) != join(X_98,join(X_97,join(X_97,X_98)))
| join(join(join(X_97,X_98),X_97),X_98) != join(join(X_97,X_98),join(X_97,X_98))
| join(join(join(X_97,X_98),X_97),X_98) = join(X_98,join(X_97,join(X_97,X_98))) ),
inference(subst,[],[refute_0_100:[bind(X,$fot(join(join(join(X_97,X_98),X_97),X_98))),bind(Y,$fot(join(join(X_97,X_98),join(X_97,X_98)))),bind(Z,$fot(join(X_98,join(X_97,join(X_97,X_98)))))]]) ).
cnf(refute_0_1193,plain,
( join(join(X_97,X_98),join(X_97,X_98)) != join(X_98,join(X_97,join(X_97,X_98)))
| join(join(join(X_97,X_98),X_97),X_98) = join(X_98,join(X_97,join(X_97,X_98))) ),
inference(resolve,[$cnf( $equal(join(join(join(X_97,X_98),X_97),X_98),join(join(X_97,X_98),join(X_97,X_98))) )],[refute_0_1191,refute_0_1192]) ).
cnf(refute_0_1194,plain,
join(join(join(X_97,X_98),X_97),X_98) = join(X_98,join(X_97,join(X_97,X_98))),
inference(resolve,[$cnf( $equal(join(join(X_97,X_98),join(X_97,X_98)),join(X_98,join(X_97,join(X_97,X_98)))) )],[refute_0_1190,refute_0_1193]) ).
cnf(refute_0_1195,plain,
( join(X_98,join(X_97,join(X_97,X_98))) != join(X_98,join(X_97,X_98))
| join(join(join(X_97,X_98),X_97),X_98) != join(X_98,join(X_97,join(X_97,X_98)))
| join(join(join(X_97,X_98),X_97),X_98) = join(X_98,join(X_97,X_98)) ),
inference(subst,[],[refute_0_100:[bind(X,$fot(join(join(join(X_97,X_98),X_97),X_98))),bind(Y,$fot(join(X_98,join(X_97,join(X_97,X_98))))),bind(Z,$fot(join(X_98,join(X_97,X_98))))]]) ).
cnf(refute_0_1196,plain,
( join(X_98,join(X_97,join(X_97,X_98))) != join(X_98,join(X_97,X_98))
| join(join(join(X_97,X_98),X_97),X_98) = join(X_98,join(X_97,X_98)) ),
inference(resolve,[$cnf( $equal(join(join(join(X_97,X_98),X_97),X_98),join(X_98,join(X_97,join(X_97,X_98)))) )],[refute_0_1194,refute_0_1195]) ).
cnf(refute_0_1197,plain,
join(join(join(X_97,X_98),X_97),X_98) = join(X_98,join(X_97,X_98)),
inference(resolve,[$cnf( $equal(join(X_98,join(X_97,join(X_97,X_98))),join(X_98,join(X_97,X_98))) )],[refute_0_1163,refute_0_1196]) ).
cnf(refute_0_1198,plain,
( join(X_97,X_98) != join(join(join(X_97,X_98),X_97),X_98)
| join(join(join(X_97,X_98),X_97),X_98) != join(X_98,join(X_97,X_98))
| join(X_97,X_98) = join(X_98,join(X_97,X_98)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X_97,X_98),join(X_98,join(X_97,X_98))) ),[0],$fot(join(join(join(X_97,X_98),X_97),X_98))]]) ).
cnf(refute_0_1199,plain,
( join(X_97,X_98) != join(join(join(X_97,X_98),X_97),X_98)
| join(X_97,X_98) = join(X_98,join(X_97,X_98)) ),
inference(resolve,[$cnf( $equal(join(join(join(X_97,X_98),X_97),X_98),join(X_98,join(X_97,X_98))) )],[refute_0_1197,refute_0_1198]) ).
cnf(refute_0_1200,plain,
join(X_97,X_98) = join(X_98,join(X_97,X_98)),
inference(resolve,[$cnf( $equal(join(X_97,X_98),join(join(join(X_97,X_98),X_97),X_98)) )],[refute_0_1130,refute_0_1199]) ).
cnf(refute_0_1201,plain,
join(meet(X_148,X_149),meet(complement(X_148),X_149)) = join(meet(complement(X_148),X_149),join(meet(X_148,X_149),meet(complement(X_148),X_149))),
inference(subst,[],[refute_0_1200:[bind(X_97,$fot(meet(X_148,X_149))),bind(X_98,$fot(meet(complement(X_148),X_149)))]]) ).
cnf(refute_0_1202,plain,
X_40 = join(meet(X_40,complement(X1)),complement(join(complement(X_40),complement(X1)))),
inference(subst,[],[refute_0_106:[bind(X0,$fot(X_40)),bind(X1,$fot(complement(X1)))]]) ).
cnf(refute_0_1203,plain,
meet(X_40,X1) = complement(join(complement(X_40),complement(X1))),
inference(subst,[],[refute_0_92:[bind(X0,$fot(X_40))]]) ).
cnf(refute_0_1204,plain,
( meet(X_40,X1) != complement(join(complement(X_40),complement(X1)))
| complement(join(complement(X_40),complement(X1))) = meet(X_40,X1) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(X_40,X1))),bind(Y,$fot(complement(join(complement(X_40),complement(X1)))))]]) ).
cnf(refute_0_1205,plain,
complement(join(complement(X_40),complement(X1))) = meet(X_40,X1),
inference(resolve,[$cnf( $equal(meet(X_40,X1),complement(join(complement(X_40),complement(X1)))) )],[refute_0_1203,refute_0_1204]) ).
cnf(refute_0_1206,plain,
( X_40 != join(meet(X_40,complement(X1)),complement(join(complement(X_40),complement(X1))))
| complement(join(complement(X_40),complement(X1))) != meet(X_40,X1)
| X_40 = join(meet(X_40,complement(X1)),meet(X_40,X1)) ),
introduced(tautology,[equality,[$cnf( $equal(X_40,join(meet(X_40,complement(X1)),complement(join(complement(X_40),complement(X1))))) ),[1,1],$fot(meet(X_40,X1))]]) ).
cnf(refute_0_1207,plain,
( X_40 != join(meet(X_40,complement(X1)),complement(join(complement(X_40),complement(X1))))
| X_40 = join(meet(X_40,complement(X1)),meet(X_40,X1)) ),
inference(resolve,[$cnf( $equal(complement(join(complement(X_40),complement(X1))),meet(X_40,X1)) )],[refute_0_1205,refute_0_1206]) ).
cnf(refute_0_1208,plain,
X_40 = join(meet(X_40,complement(X1)),meet(X_40,X1)),
inference(resolve,[$cnf( $equal(X_40,join(meet(X_40,complement(X1)),complement(join(complement(X_40),complement(X1))))) )],[refute_0_1202,refute_0_1207]) ).
cnf(refute_0_1209,plain,
join(meet(X_40,complement(X1)),meet(X_40,X1)) = join(meet(X_40,X1),meet(X_40,complement(X1))),
inference(subst,[],[refute_0_9:[bind(X0,$fot(meet(X_40,X1))),bind(X1,$fot(meet(X_40,complement(X1))))]]) ).
cnf(refute_0_1210,plain,
( X_40 != join(meet(X_40,complement(X1)),meet(X_40,X1))
| join(meet(X_40,complement(X1)),meet(X_40,X1)) != join(meet(X_40,X1),meet(X_40,complement(X1)))
| X_40 = join(meet(X_40,X1),meet(X_40,complement(X1))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_40,join(meet(X_40,X1),meet(X_40,complement(X1)))) ),[0],$fot(join(meet(X_40,complement(X1)),meet(X_40,X1)))]]) ).
cnf(refute_0_1211,plain,
( X_40 != join(meet(X_40,complement(X1)),meet(X_40,X1))
| X_40 = join(meet(X_40,X1),meet(X_40,complement(X1))) ),
inference(resolve,[$cnf( $equal(join(meet(X_40,complement(X1)),meet(X_40,X1)),join(meet(X_40,X1),meet(X_40,complement(X1)))) )],[refute_0_1209,refute_0_1210]) ).
cnf(refute_0_1212,plain,
X_40 = join(meet(X_40,X1),meet(X_40,complement(X1))),
inference(resolve,[$cnf( $equal(X_40,join(meet(X_40,complement(X1)),meet(X_40,X1))) )],[refute_0_1208,refute_0_1211]) ).
cnf(refute_0_1213,plain,
X_60 = join(meet(X_60,X_59),meet(X_60,complement(X_59))),
inference(subst,[],[refute_0_1212:[bind(X1,$fot(X_59)),bind(X_40,$fot(X_60))]]) ).
cnf(refute_0_1214,plain,
meet(complement(X_59),X_60) = meet(X_60,complement(X_59)),
inference(subst,[],[refute_0_197:[bind(X_14,$fot(complement(X_59))),bind(X_15,$fot(X_60))]]) ).
cnf(refute_0_1215,plain,
( meet(complement(X_59),X_60) != meet(X_60,complement(X_59))
| meet(X_60,complement(X_59)) = meet(complement(X_59),X_60) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(complement(X_59),X_60))),bind(Y,$fot(meet(X_60,complement(X_59))))]]) ).
cnf(refute_0_1216,plain,
meet(X_60,complement(X_59)) = meet(complement(X_59),X_60),
inference(resolve,[$cnf( $equal(meet(complement(X_59),X_60),meet(X_60,complement(X_59))) )],[refute_0_1214,refute_0_1215]) ).
cnf(refute_0_1217,plain,
( X_60 != join(meet(X_60,X_59),meet(X_60,complement(X_59)))
| meet(X_60,complement(X_59)) != meet(complement(X_59),X_60)
| X_60 = join(meet(X_60,X_59),meet(complement(X_59),X_60)) ),
introduced(tautology,[equality,[$cnf( $equal(X_60,join(meet(X_60,X_59),meet(X_60,complement(X_59)))) ),[1,1],$fot(meet(complement(X_59),X_60))]]) ).
cnf(refute_0_1218,plain,
( X_60 != join(meet(X_60,X_59),meet(X_60,complement(X_59)))
| X_60 = join(meet(X_60,X_59),meet(complement(X_59),X_60)) ),
inference(resolve,[$cnf( $equal(meet(X_60,complement(X_59)),meet(complement(X_59),X_60)) )],[refute_0_1216,refute_0_1217]) ).
cnf(refute_0_1219,plain,
X_60 = join(meet(X_60,X_59),meet(complement(X_59),X_60)),
inference(resolve,[$cnf( $equal(X_60,join(meet(X_60,X_59),meet(X_60,complement(X_59)))) )],[refute_0_1213,refute_0_1218]) ).
cnf(refute_0_1220,plain,
X_149 = join(meet(X_149,X_148),meet(complement(X_148),X_149)),
inference(subst,[],[refute_0_1219:[bind(X_59,$fot(X_148)),bind(X_60,$fot(X_149))]]) ).
cnf(refute_0_1221,plain,
meet(X_148,X_149) = meet(X_149,X_148),
inference(subst,[],[refute_0_197:[bind(X_14,$fot(X_148)),bind(X_15,$fot(X_149))]]) ).
cnf(refute_0_1222,plain,
( meet(X_148,X_149) != meet(X_149,X_148)
| meet(X_149,X_148) = meet(X_148,X_149) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(X_148,X_149))),bind(Y,$fot(meet(X_149,X_148)))]]) ).
cnf(refute_0_1223,plain,
meet(X_149,X_148) = meet(X_148,X_149),
inference(resolve,[$cnf( $equal(meet(X_148,X_149),meet(X_149,X_148)) )],[refute_0_1221,refute_0_1222]) ).
cnf(refute_0_1224,plain,
( X_149 != join(meet(X_149,X_148),meet(complement(X_148),X_149))
| meet(X_149,X_148) != meet(X_148,X_149)
| X_149 = join(meet(X_148,X_149),meet(complement(X_148),X_149)) ),
introduced(tautology,[equality,[$cnf( $equal(X_149,join(meet(X_149,X_148),meet(complement(X_148),X_149))) ),[1,0],$fot(meet(X_148,X_149))]]) ).
cnf(refute_0_1225,plain,
( X_149 != join(meet(X_149,X_148),meet(complement(X_148),X_149))
| X_149 = join(meet(X_148,X_149),meet(complement(X_148),X_149)) ),
inference(resolve,[$cnf( $equal(meet(X_149,X_148),meet(X_148,X_149)) )],[refute_0_1223,refute_0_1224]) ).
cnf(refute_0_1226,plain,
X_149 = join(meet(X_148,X_149),meet(complement(X_148),X_149)),
inference(resolve,[$cnf( $equal(X_149,join(meet(X_149,X_148),meet(complement(X_148),X_149))) )],[refute_0_1220,refute_0_1225]) ).
cnf(refute_0_1227,plain,
( X_149 != join(meet(X_148,X_149),meet(complement(X_148),X_149))
| join(meet(X_148,X_149),meet(complement(X_148),X_149)) = X_149 ),
inference(subst,[],[refute_0_7:[bind(X,$fot(X_149)),bind(Y,$fot(join(meet(X_148,X_149),meet(complement(X_148),X_149))))]]) ).
cnf(refute_0_1228,plain,
join(meet(X_148,X_149),meet(complement(X_148),X_149)) = X_149,
inference(resolve,[$cnf( $equal(X_149,join(meet(X_148,X_149),meet(complement(X_148),X_149))) )],[refute_0_1226,refute_0_1227]) ).
cnf(refute_0_1229,plain,
( join(meet(X_148,X_149),meet(complement(X_148),X_149)) != X_149
| join(meet(X_148,X_149),meet(complement(X_148),X_149)) != join(meet(complement(X_148),X_149),join(meet(X_148,X_149),meet(complement(X_148),X_149)))
| X_149 = join(meet(complement(X_148),X_149),join(meet(X_148,X_149),meet(complement(X_148),X_149))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_148,X_149),meet(complement(X_148),X_149)),join(meet(complement(X_148),X_149),join(meet(X_148,X_149),meet(complement(X_148),X_149)))) ),[0],$fot(X_149)]]) ).
cnf(refute_0_1230,plain,
( join(meet(X_148,X_149),meet(complement(X_148),X_149)) != join(meet(complement(X_148),X_149),join(meet(X_148,X_149),meet(complement(X_148),X_149)))
| X_149 = join(meet(complement(X_148),X_149),join(meet(X_148,X_149),meet(complement(X_148),X_149))) ),
inference(resolve,[$cnf( $equal(join(meet(X_148,X_149),meet(complement(X_148),X_149)),X_149) )],[refute_0_1228,refute_0_1229]) ).
cnf(refute_0_1231,plain,
X_149 = join(meet(complement(X_148),X_149),join(meet(X_148,X_149),meet(complement(X_148),X_149))),
inference(resolve,[$cnf( $equal(join(meet(X_148,X_149),meet(complement(X_148),X_149)),join(meet(complement(X_148),X_149),join(meet(X_148,X_149),meet(complement(X_148),X_149)))) )],[refute_0_1201,refute_0_1230]) ).
cnf(refute_0_1232,plain,
join(meet(complement(X_148),X_149),X_149) = join(X_149,meet(complement(X_148),X_149)),
inference(subst,[],[refute_0_9:[bind(X0,$fot(X_149)),bind(X1,$fot(meet(complement(X_148),X_149)))]]) ).
cnf(refute_0_1233,plain,
join(X0,join(meet(X_222,X_223),meet(complement(X_222),X_223))) = join(meet(X_222,X_223),join(meet(complement(X_222),X_223),X0)),
inference(subst,[],[refute_0_1184:[bind(X_96,$fot(meet(X_222,X_223))),bind(X_97,$fot(meet(complement(X_222),X_223)))]]) ).
cnf(refute_0_1234,plain,
X_223 = join(meet(X_222,X_223),meet(complement(X_222),X_223)),
inference(subst,[],[refute_0_1226:[bind(X_148,$fot(X_222)),bind(X_149,$fot(X_223))]]) ).
cnf(refute_0_1235,plain,
( X_223 != join(meet(X_222,X_223),meet(complement(X_222),X_223))
| join(meet(X_222,X_223),meet(complement(X_222),X_223)) = X_223 ),
inference(subst,[],[refute_0_7:[bind(X,$fot(X_223)),bind(Y,$fot(join(meet(X_222,X_223),meet(complement(X_222),X_223))))]]) ).
cnf(refute_0_1236,plain,
join(meet(X_222,X_223),meet(complement(X_222),X_223)) = X_223,
inference(resolve,[$cnf( $equal(X_223,join(meet(X_222,X_223),meet(complement(X_222),X_223))) )],[refute_0_1234,refute_0_1235]) ).
cnf(refute_0_1237,plain,
( join(X0,join(meet(X_222,X_223),meet(complement(X_222),X_223))) != join(meet(X_222,X_223),join(meet(complement(X_222),X_223),X0))
| join(meet(X_222,X_223),meet(complement(X_222),X_223)) != X_223
| join(X0,X_223) = join(meet(X_222,X_223),join(meet(complement(X_222),X_223),X0)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X0,join(meet(X_222,X_223),meet(complement(X_222),X_223))),join(meet(X_222,X_223),join(meet(complement(X_222),X_223),X0))) ),[0,1],$fot(X_223)]]) ).
cnf(refute_0_1238,plain,
( join(X0,join(meet(X_222,X_223),meet(complement(X_222),X_223))) != join(meet(X_222,X_223),join(meet(complement(X_222),X_223),X0))
| join(X0,X_223) = join(meet(X_222,X_223),join(meet(complement(X_222),X_223),X0)) ),
inference(resolve,[$cnf( $equal(join(meet(X_222,X_223),meet(complement(X_222),X_223)),X_223) )],[refute_0_1236,refute_0_1237]) ).
cnf(refute_0_1239,plain,
join(X0,X_223) = join(meet(X_222,X_223),join(meet(complement(X_222),X_223),X0)),
inference(resolve,[$cnf( $equal(join(X0,join(meet(X_222,X_223),meet(complement(X_222),X_223))),join(meet(X_222,X_223),join(meet(complement(X_222),X_223),X0))) )],[refute_0_1233,refute_0_1238]) ).
cnf(refute_0_1240,plain,
( join(X0,X_223) != join(meet(X_222,X_223),join(meet(complement(X_222),X_223),X0))
| join(meet(X_222,X_223),join(meet(complement(X_222),X_223),X0)) = join(X0,X_223) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(X0,X_223))),bind(Y,$fot(join(meet(X_222,X_223),join(meet(complement(X_222),X_223),X0))))]]) ).
cnf(refute_0_1241,plain,
join(meet(X_222,X_223),join(meet(complement(X_222),X_223),X0)) = join(X0,X_223),
inference(resolve,[$cnf( $equal(join(X0,X_223),join(meet(X_222,X_223),join(meet(complement(X_222),X_223),X0))) )],[refute_0_1239,refute_0_1240]) ).
cnf(refute_0_1242,plain,
join(meet(X_148,X_149),join(meet(complement(X_148),X_149),meet(complement(X_148),X_149))) = join(meet(complement(X_148),X_149),X_149),
inference(subst,[],[refute_0_1241:[bind(X0,$fot(meet(complement(X_148),X_149))),bind(X_222,$fot(X_148)),bind(X_223,$fot(X_149))]]) ).
cnf(refute_0_1243,plain,
( join(meet(X_148,X_149),join(meet(complement(X_148),X_149),meet(complement(X_148),X_149))) != join(meet(complement(X_148),X_149),X_149)
| join(meet(complement(X_148),X_149),X_149) != join(X_149,meet(complement(X_148),X_149))
| join(meet(X_148,X_149),join(meet(complement(X_148),X_149),meet(complement(X_148),X_149))) = join(X_149,meet(complement(X_148),X_149)) ),
inference(subst,[],[refute_0_100:[bind(X,$fot(join(meet(X_148,X_149),join(meet(complement(X_148),X_149),meet(complement(X_148),X_149))))),bind(Y,$fot(join(meet(complement(X_148),X_149),X_149))),bind(Z,$fot(join(X_149,meet(complement(X_148),X_149))))]]) ).
cnf(refute_0_1244,plain,
( join(meet(complement(X_148),X_149),X_149) != join(X_149,meet(complement(X_148),X_149))
| join(meet(X_148,X_149),join(meet(complement(X_148),X_149),meet(complement(X_148),X_149))) = join(X_149,meet(complement(X_148),X_149)) ),
inference(resolve,[$cnf( $equal(join(meet(X_148,X_149),join(meet(complement(X_148),X_149),meet(complement(X_148),X_149))),join(meet(complement(X_148),X_149),X_149)) )],[refute_0_1242,refute_0_1243]) ).
cnf(refute_0_1245,plain,
join(meet(X_148,X_149),join(meet(complement(X_148),X_149),meet(complement(X_148),X_149))) = join(X_149,meet(complement(X_148),X_149)),
inference(resolve,[$cnf( $equal(join(meet(complement(X_148),X_149),X_149),join(X_149,meet(complement(X_148),X_149))) )],[refute_0_1232,refute_0_1244]) ).
cnf(refute_0_1246,plain,
join(X0,join(X1,join(X_250,X1))) = join(join(X0,X1),join(X_250,X1)),
inference(subst,[],[refute_0_61:[bind(X2,$fot(join(X_250,X1)))]]) ).
cnf(refute_0_1247,plain,
join(X_250,X1) = join(X1,join(X_250,X1)),
inference(subst,[],[refute_0_1200:[bind(X_97,$fot(X_250)),bind(X_98,$fot(X1))]]) ).
cnf(refute_0_1248,plain,
( join(X_250,X1) != join(X1,join(X_250,X1))
| join(X1,join(X_250,X1)) = join(X_250,X1) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(X_250,X1))),bind(Y,$fot(join(X1,join(X_250,X1))))]]) ).
cnf(refute_0_1249,plain,
join(X1,join(X_250,X1)) = join(X_250,X1),
inference(resolve,[$cnf( $equal(join(X_250,X1),join(X1,join(X_250,X1))) )],[refute_0_1247,refute_0_1248]) ).
cnf(refute_0_1250,plain,
( join(X0,join(X1,join(X_250,X1))) != join(join(X0,X1),join(X_250,X1))
| join(X1,join(X_250,X1)) != join(X_250,X1)
| join(X0,join(X_250,X1)) = join(join(X0,X1),join(X_250,X1)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X0,join(X1,join(X_250,X1))),join(join(X0,X1),join(X_250,X1))) ),[0,1],$fot(join(X_250,X1))]]) ).
cnf(refute_0_1251,plain,
( join(X0,join(X1,join(X_250,X1))) != join(join(X0,X1),join(X_250,X1))
| join(X0,join(X_250,X1)) = join(join(X0,X1),join(X_250,X1)) ),
inference(resolve,[$cnf( $equal(join(X1,join(X_250,X1)),join(X_250,X1)) )],[refute_0_1249,refute_0_1250]) ).
cnf(refute_0_1252,plain,
join(X0,join(X_250,X1)) = join(join(X0,X1),join(X_250,X1)),
inference(resolve,[$cnf( $equal(join(X0,join(X1,join(X_250,X1))),join(join(X0,X1),join(X_250,X1))) )],[refute_0_1246,refute_0_1251]) ).
cnf(refute_0_1253,plain,
join(join(X_250,X_97),join(X_96,X_97)) = join(X_96,join(X_97,join(X_250,X_97))),
inference(subst,[],[refute_0_1184:[bind(X0,$fot(join(X_250,X_97)))]]) ).
cnf(refute_0_1254,plain,
join(X_250,X_97) = join(X_97,join(X_250,X_97)),
inference(subst,[],[refute_0_1200:[bind(X_97,$fot(X_250)),bind(X_98,$fot(X_97))]]) ).
cnf(refute_0_1255,plain,
( join(X_250,X_97) != join(X_97,join(X_250,X_97))
| join(X_97,join(X_250,X_97)) = join(X_250,X_97) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(X_250,X_97))),bind(Y,$fot(join(X_97,join(X_250,X_97))))]]) ).
cnf(refute_0_1256,plain,
join(X_97,join(X_250,X_97)) = join(X_250,X_97),
inference(resolve,[$cnf( $equal(join(X_250,X_97),join(X_97,join(X_250,X_97))) )],[refute_0_1254,refute_0_1255]) ).
cnf(refute_0_1257,plain,
( join(X_97,join(X_250,X_97)) != join(X_250,X_97)
| join(join(X_250,X_97),join(X_96,X_97)) != join(X_96,join(X_97,join(X_250,X_97)))
| join(join(X_250,X_97),join(X_96,X_97)) = join(X_96,join(X_250,X_97)) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(X_250,X_97),join(X_96,X_97)),join(X_96,join(X_97,join(X_250,X_97)))) ),[1,1],$fot(join(X_250,X_97))]]) ).
cnf(refute_0_1258,plain,
( join(join(X_250,X_97),join(X_96,X_97)) != join(X_96,join(X_97,join(X_250,X_97)))
| join(join(X_250,X_97),join(X_96,X_97)) = join(X_96,join(X_250,X_97)) ),
inference(resolve,[$cnf( $equal(join(X_97,join(X_250,X_97)),join(X_250,X_97)) )],[refute_0_1256,refute_0_1257]) ).
cnf(refute_0_1259,plain,
join(join(X_250,X_97),join(X_96,X_97)) = join(X_96,join(X_250,X_97)),
inference(resolve,[$cnf( $equal(join(join(X_250,X_97),join(X_96,X_97)),join(X_96,join(X_97,join(X_250,X_97)))) )],[refute_0_1253,refute_0_1258]) ).
cnf(refute_0_1260,plain,
join(X_155,join(X_156,X_157)) = join(X_156,join(X_157,X_155)),
inference(subst,[],[refute_0_1184:[bind(X0,$fot(X_155)),bind(X_96,$fot(X_156)),bind(X_97,$fot(X_157))]]) ).
cnf(refute_0_1261,plain,
join(X_157,X_156) = join(X_156,X_157),
inference(subst,[],[refute_0_4:[bind(X0,$fot(X_157)),bind(X1,$fot(X_156))]]) ).
cnf(refute_0_1262,plain,
( join(X_157,X_156) != join(X_156,X_157)
| join(X_156,X_157) = join(X_157,X_156) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(X_157,X_156))),bind(Y,$fot(join(X_156,X_157)))]]) ).
cnf(refute_0_1263,plain,
join(X_156,X_157) = join(X_157,X_156),
inference(resolve,[$cnf( $equal(join(X_157,X_156),join(X_156,X_157)) )],[refute_0_1261,refute_0_1262]) ).
cnf(refute_0_1264,plain,
( join(X_155,join(X_156,X_157)) != join(X_156,join(X_157,X_155))
| join(X_156,X_157) != join(X_157,X_156)
| join(X_155,join(X_157,X_156)) = join(X_156,join(X_157,X_155)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_155,join(X_156,X_157)),join(X_156,join(X_157,X_155))) ),[0,1],$fot(join(X_157,X_156))]]) ).
cnf(refute_0_1265,plain,
( join(X_155,join(X_156,X_157)) != join(X_156,join(X_157,X_155))
| join(X_155,join(X_157,X_156)) = join(X_156,join(X_157,X_155)) ),
inference(resolve,[$cnf( $equal(join(X_156,X_157),join(X_157,X_156)) )],[refute_0_1263,refute_0_1264]) ).
cnf(refute_0_1266,plain,
join(X_155,join(X_157,X_156)) = join(X_156,join(X_157,X_155)),
inference(resolve,[$cnf( $equal(join(X_155,join(X_156,X_157)),join(X_156,join(X_157,X_155))) )],[refute_0_1260,refute_0_1265]) ).
cnf(refute_0_1267,plain,
( join(X_155,join(X_157,X_156)) != join(X_156,join(X_157,X_155))
| join(X_156,join(X_157,X_155)) = join(X_155,join(X_157,X_156)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(X_155,join(X_157,X_156)))),bind(Y,$fot(join(X_156,join(X_157,X_155))))]]) ).
cnf(refute_0_1268,plain,
join(X_156,join(X_157,X_155)) = join(X_155,join(X_157,X_156)),
inference(resolve,[$cnf( $equal(join(X_155,join(X_157,X_156)),join(X_156,join(X_157,X_155))) )],[refute_0_1266,refute_0_1267]) ).
cnf(refute_0_1269,plain,
join(join(X_250,X_97),join(X_96,X_97)) = join(X_97,join(X_96,join(X_250,X_97))),
inference(subst,[],[refute_0_1268:[bind(X_155,$fot(X_97)),bind(X_156,$fot(join(X_250,X_97))),bind(X_157,$fot(X_96))]]) ).
cnf(refute_0_1270,plain,
( join(join(X_250,X_97),join(X_96,X_97)) != join(X_96,join(X_250,X_97))
| join(join(X_250,X_97),join(X_96,X_97)) != join(X_97,join(X_96,join(X_250,X_97)))
| join(X_97,join(X_96,join(X_250,X_97))) = join(X_96,join(X_250,X_97)) ),
introduced(tautology,[equality,[$cnf( $equal(join(join(X_250,X_97),join(X_96,X_97)),join(X_96,join(X_250,X_97))) ),[0],$fot(join(X_97,join(X_96,join(X_250,X_97))))]]) ).
cnf(refute_0_1271,plain,
( join(join(X_250,X_97),join(X_96,X_97)) != join(X_96,join(X_250,X_97))
| join(X_97,join(X_96,join(X_250,X_97))) = join(X_96,join(X_250,X_97)) ),
inference(resolve,[$cnf( $equal(join(join(X_250,X_97),join(X_96,X_97)),join(X_97,join(X_96,join(X_250,X_97)))) )],[refute_0_1269,refute_0_1270]) ).
cnf(refute_0_1272,plain,
join(X_97,join(X_96,join(X_250,X_97))) = join(X_96,join(X_250,X_97)),
inference(resolve,[$cnf( $equal(join(join(X_250,X_97),join(X_96,X_97)),join(X_96,join(X_250,X_97))) )],[refute_0_1259,refute_0_1271]) ).
cnf(refute_0_1273,plain,
join(X1,join(X_250,join(X0,X1))) = join(X_250,join(X0,X1)),
inference(subst,[],[refute_0_1272:[bind(X_250,$fot(X0)),bind(X_96,$fot(X_250)),bind(X_97,$fot(X1))]]) ).
cnf(refute_0_1274,plain,
join(join(X0,X1),join(X_250,X1)) = join(X1,join(X_250,join(X0,X1))),
inference(subst,[],[refute_0_1268:[bind(X_155,$fot(X1)),bind(X_156,$fot(join(X0,X1))),bind(X_157,$fot(X_250))]]) ).
cnf(refute_0_1275,plain,
( join(X1,join(X_250,join(X0,X1))) != join(X_250,join(X0,X1))
| join(join(X0,X1),join(X_250,X1)) != join(X1,join(X_250,join(X0,X1)))
| join(join(X0,X1),join(X_250,X1)) = join(X_250,join(X0,X1)) ),
inference(subst,[],[refute_0_100:[bind(X,$fot(join(join(X0,X1),join(X_250,X1)))),bind(Y,$fot(join(X1,join(X_250,join(X0,X1))))),bind(Z,$fot(join(X_250,join(X0,X1))))]]) ).
cnf(refute_0_1276,plain,
( join(X1,join(X_250,join(X0,X1))) != join(X_250,join(X0,X1))
| join(join(X0,X1),join(X_250,X1)) = join(X_250,join(X0,X1)) ),
inference(resolve,[$cnf( $equal(join(join(X0,X1),join(X_250,X1)),join(X1,join(X_250,join(X0,X1)))) )],[refute_0_1274,refute_0_1275]) ).
cnf(refute_0_1277,plain,
join(join(X0,X1),join(X_250,X1)) = join(X_250,join(X0,X1)),
inference(resolve,[$cnf( $equal(join(X1,join(X_250,join(X0,X1))),join(X_250,join(X0,X1))) )],[refute_0_1273,refute_0_1276]) ).
cnf(refute_0_1278,plain,
( join(X0,join(X_250,X1)) != join(join(X0,X1),join(X_250,X1))
| join(join(X0,X1),join(X_250,X1)) != join(X_250,join(X0,X1))
| join(X0,join(X_250,X1)) = join(X_250,join(X0,X1)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X0,join(X_250,X1)),join(X_250,join(X0,X1))) ),[0],$fot(join(join(X0,X1),join(X_250,X1)))]]) ).
cnf(refute_0_1279,plain,
( join(X0,join(X_250,X1)) != join(join(X0,X1),join(X_250,X1))
| join(X0,join(X_250,X1)) = join(X_250,join(X0,X1)) ),
inference(resolve,[$cnf( $equal(join(join(X0,X1),join(X_250,X1)),join(X_250,join(X0,X1))) )],[refute_0_1277,refute_0_1278]) ).
cnf(refute_0_1280,plain,
join(X0,join(X_250,X1)) = join(X_250,join(X0,X1)),
inference(resolve,[$cnf( $equal(join(X0,join(X_250,X1)),join(join(X0,X1),join(X_250,X1))) )],[refute_0_1252,refute_0_1279]) ).
cnf(refute_0_1281,plain,
( join(X0,join(X_250,X1)) != join(X_250,join(X0,X1))
| join(X_250,join(X0,X1)) = join(X0,join(X_250,X1)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(X0,join(X_250,X1)))),bind(Y,$fot(join(X_250,join(X0,X1))))]]) ).
cnf(refute_0_1282,plain,
join(X_250,join(X0,X1)) = join(X0,join(X_250,X1)),
inference(resolve,[$cnf( $equal(join(X0,join(X_250,X1)),join(X_250,join(X0,X1))) )],[refute_0_1280,refute_0_1281]) ).
cnf(refute_0_1283,plain,
join(meet(complement(X_148),X_149),join(meet(X_148,X_149),meet(complement(X_148),X_149))) = join(meet(X_148,X_149),join(meet(complement(X_148),X_149),meet(complement(X_148),X_149))),
inference(subst,[],[refute_0_1282:[bind(X0,$fot(meet(X_148,X_149))),bind(X1,$fot(meet(complement(X_148),X_149))),bind(X_250,$fot(meet(complement(X_148),X_149)))]]) ).
cnf(refute_0_1284,plain,
( join(meet(X_148,X_149),join(meet(complement(X_148),X_149),meet(complement(X_148),X_149))) != join(X_149,meet(complement(X_148),X_149))
| join(meet(complement(X_148),X_149),join(meet(X_148,X_149),meet(complement(X_148),X_149))) != join(meet(X_148,X_149),join(meet(complement(X_148),X_149),meet(complement(X_148),X_149)))
| join(meet(complement(X_148),X_149),join(meet(X_148,X_149),meet(complement(X_148),X_149))) = join(X_149,meet(complement(X_148),X_149)) ),
inference(subst,[],[refute_0_100:[bind(X,$fot(join(meet(complement(X_148),X_149),join(meet(X_148,X_149),meet(complement(X_148),X_149))))),bind(Y,$fot(join(meet(X_148,X_149),join(meet(complement(X_148),X_149),meet(complement(X_148),X_149))))),bind(Z,$fot(join(X_149,meet(complement(X_148),X_149))))]]) ).
cnf(refute_0_1285,plain,
( join(meet(X_148,X_149),join(meet(complement(X_148),X_149),meet(complement(X_148),X_149))) != join(X_149,meet(complement(X_148),X_149))
| join(meet(complement(X_148),X_149),join(meet(X_148,X_149),meet(complement(X_148),X_149))) = join(X_149,meet(complement(X_148),X_149)) ),
inference(resolve,[$cnf( $equal(join(meet(complement(X_148),X_149),join(meet(X_148,X_149),meet(complement(X_148),X_149))),join(meet(X_148,X_149),join(meet(complement(X_148),X_149),meet(complement(X_148),X_149)))) )],[refute_0_1283,refute_0_1284]) ).
cnf(refute_0_1286,plain,
join(meet(complement(X_148),X_149),join(meet(X_148,X_149),meet(complement(X_148),X_149))) = join(X_149,meet(complement(X_148),X_149)),
inference(resolve,[$cnf( $equal(join(meet(X_148,X_149),join(meet(complement(X_148),X_149),meet(complement(X_148),X_149))),join(X_149,meet(complement(X_148),X_149))) )],[refute_0_1245,refute_0_1285]) ).
cnf(refute_0_1287,plain,
( X_149 != join(meet(complement(X_148),X_149),join(meet(X_148,X_149),meet(complement(X_148),X_149)))
| join(meet(complement(X_148),X_149),join(meet(X_148,X_149),meet(complement(X_148),X_149))) != join(X_149,meet(complement(X_148),X_149))
| X_149 = join(X_149,meet(complement(X_148),X_149)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_149,join(X_149,meet(complement(X_148),X_149))) ),[0],$fot(join(meet(complement(X_148),X_149),join(meet(X_148,X_149),meet(complement(X_148),X_149))))]]) ).
cnf(refute_0_1288,plain,
( X_149 != join(meet(complement(X_148),X_149),join(meet(X_148,X_149),meet(complement(X_148),X_149)))
| X_149 = join(X_149,meet(complement(X_148),X_149)) ),
inference(resolve,[$cnf( $equal(join(meet(complement(X_148),X_149),join(meet(X_148,X_149),meet(complement(X_148),X_149))),join(X_149,meet(complement(X_148),X_149))) )],[refute_0_1286,refute_0_1287]) ).
cnf(refute_0_1289,plain,
X_149 = join(X_149,meet(complement(X_148),X_149)),
inference(resolve,[$cnf( $equal(X_149,join(meet(complement(X_148),X_149),join(meet(X_148,X_149),meet(complement(X_148),X_149)))) )],[refute_0_1231,refute_0_1288]) ).
cnf(refute_0_1290,plain,
converse(complement(X0)) = join(converse(complement(X0)),meet(complement(converse(X0)),converse(complement(X0)))),
inference(subst,[],[refute_0_1289:[bind(X_148,$fot(converse(X0))),bind(X_149,$fot(converse(complement(X0))))]]) ).
cnf(refute_0_1291,plain,
X0 = join(meet(X0,converse(complement(converse(complement(X0))))),complement(join(complement(X0),converse(complement(converse(complement(X0))))))),
inference(subst,[],[refute_0_106:[bind(X1,$fot(converse(complement(converse(complement(X0))))))]]) ).
cnf(refute_0_1292,plain,
converse(join(converse(X_127),complement(converse(X_127)))) = join(X_127,converse(complement(converse(X_127)))),
inference(subst,[],[refute_0_308:[bind(X0,$fot(X_127)),bind(X_23,$fot(complement(converse(X_127))))]]) ).
cnf(refute_0_1293,plain,
top = join(converse(X_127),complement(converse(X_127))),
inference(subst,[],[refute_0_63:[bind(X0,$fot(converse(X_127)))]]) ).
cnf(refute_0_1294,plain,
( top != join(converse(X_127),complement(converse(X_127)))
| join(converse(X_127),complement(converse(X_127))) = top ),
inference(subst,[],[refute_0_7:[bind(X,$fot(top)),bind(Y,$fot(join(converse(X_127),complement(converse(X_127)))))]]) ).
cnf(refute_0_1295,plain,
join(converse(X_127),complement(converse(X_127))) = top,
inference(resolve,[$cnf( $equal(top,join(converse(X_127),complement(converse(X_127)))) )],[refute_0_1293,refute_0_1294]) ).
cnf(refute_0_1296,plain,
( converse(join(converse(X_127),complement(converse(X_127)))) != join(X_127,converse(complement(converse(X_127))))
| join(converse(X_127),complement(converse(X_127))) != top
| converse(top) = join(X_127,converse(complement(converse(X_127)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(X_127),complement(converse(X_127)))),join(X_127,converse(complement(converse(X_127))))) ),[0,0],$fot(top)]]) ).
cnf(refute_0_1297,plain,
( converse(join(converse(X_127),complement(converse(X_127)))) != join(X_127,converse(complement(converse(X_127))))
| converse(top) = join(X_127,converse(complement(converse(X_127)))) ),
inference(resolve,[$cnf( $equal(join(converse(X_127),complement(converse(X_127))),top) )],[refute_0_1295,refute_0_1296]) ).
cnf(refute_0_1298,plain,
converse(top) = join(X_127,converse(complement(converse(X_127)))),
inference(resolve,[$cnf( $equal(converse(join(converse(X_127),complement(converse(X_127)))),join(X_127,converse(complement(converse(X_127))))) )],[refute_0_1292,refute_0_1297]) ).
cnf(refute_0_1299,plain,
( converse(top) != join(X_127,converse(complement(converse(X_127))))
| converse(top) != top
| top = join(X_127,converse(complement(converse(X_127)))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(top),join(X_127,converse(complement(converse(X_127))))) ),[0],$fot(top)]]) ).
cnf(refute_0_1300,plain,
( converse(top) != join(X_127,converse(complement(converse(X_127))))
| top = join(X_127,converse(complement(converse(X_127)))) ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_821,refute_0_1299]) ).
cnf(refute_0_1301,plain,
top = join(X_127,converse(complement(converse(X_127)))),
inference(resolve,[$cnf( $equal(converse(top),join(X_127,converse(complement(converse(X_127))))) )],[refute_0_1298,refute_0_1300]) ).
cnf(refute_0_1302,plain,
top = join(complement(X0),converse(complement(converse(complement(X0))))),
inference(subst,[],[refute_0_1301:[bind(X_127,$fot(complement(X0)))]]) ).
cnf(refute_0_1303,plain,
( top != join(complement(X0),converse(complement(converse(complement(X0)))))
| join(complement(X0),converse(complement(converse(complement(X0))))) = top ),
inference(subst,[],[refute_0_7:[bind(X,$fot(top)),bind(Y,$fot(join(complement(X0),converse(complement(converse(complement(X0)))))))]]) ).
cnf(refute_0_1304,plain,
join(complement(X0),converse(complement(converse(complement(X0))))) = top,
inference(resolve,[$cnf( $equal(top,join(complement(X0),converse(complement(converse(complement(X0)))))) )],[refute_0_1302,refute_0_1303]) ).
cnf(refute_0_1305,plain,
( X0 != join(meet(X0,converse(complement(converse(complement(X0))))),complement(join(complement(X0),converse(complement(converse(complement(X0)))))))
| join(complement(X0),converse(complement(converse(complement(X0))))) != top
| X0 = join(meet(X0,converse(complement(converse(complement(X0))))),complement(top)) ),
introduced(tautology,[equality,[$cnf( $equal(X0,join(meet(X0,converse(complement(converse(complement(X0))))),complement(join(complement(X0),converse(complement(converse(complement(X0)))))))) ),[1,1,0],$fot(top)]]) ).
cnf(refute_0_1306,plain,
( X0 != join(meet(X0,converse(complement(converse(complement(X0))))),complement(join(complement(X0),converse(complement(converse(complement(X0)))))))
| X0 = join(meet(X0,converse(complement(converse(complement(X0))))),complement(top)) ),
inference(resolve,[$cnf( $equal(join(complement(X0),converse(complement(converse(complement(X0))))),top) )],[refute_0_1304,refute_0_1305]) ).
cnf(refute_0_1307,plain,
X0 = join(meet(X0,converse(complement(converse(complement(X0))))),complement(top)),
inference(resolve,[$cnf( $equal(X0,join(meet(X0,converse(complement(converse(complement(X0))))),complement(join(complement(X0),converse(complement(converse(complement(X0)))))))) )],[refute_0_1291,refute_0_1306]) ).
cnf(refute_0_1308,plain,
join(zero,meet(X0,converse(complement(converse(complement(X0)))))) = meet(X0,converse(complement(converse(complement(X0))))),
inference(subst,[],[refute_0_1085:[bind(X_40,$fot(meet(X0,converse(complement(converse(complement(X0)))))))]]) ).
cnf(refute_0_1309,plain,
join(complement(top),meet(X0,converse(complement(converse(complement(X0)))))) = join(complement(top),meet(X0,converse(complement(converse(complement(X0)))))),
introduced(tautology,[refl,[$fot(join(complement(top),meet(X0,converse(complement(converse(complement(X0)))))))]]) ).
cnf(refute_0_1310,plain,
( complement(top) != zero
| join(complement(top),meet(X0,converse(complement(converse(complement(X0)))))) != join(complement(top),meet(X0,converse(complement(converse(complement(X0))))))
| join(complement(top),meet(X0,converse(complement(converse(complement(X0)))))) = join(zero,meet(X0,converse(complement(converse(complement(X0)))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(top),meet(X0,converse(complement(converse(complement(X0)))))),join(complement(top),meet(X0,converse(complement(converse(complement(X0))))))) ),[1,0],$fot(zero)]]) ).
cnf(refute_0_1311,plain,
( complement(top) != zero
| join(complement(top),meet(X0,converse(complement(converse(complement(X0)))))) = join(zero,meet(X0,converse(complement(converse(complement(X0)))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X0,converse(complement(converse(complement(X0)))))),join(complement(top),meet(X0,converse(complement(converse(complement(X0))))))) )],[refute_0_1309,refute_0_1310]) ).
cnf(refute_0_1312,plain,
join(complement(top),meet(X0,converse(complement(converse(complement(X0)))))) = join(zero,meet(X0,converse(complement(converse(complement(X0)))))),
inference(resolve,[$cnf( $equal(complement(top),zero) )],[refute_0_141,refute_0_1311]) ).
cnf(refute_0_1313,plain,
( join(complement(top),meet(X0,converse(complement(converse(complement(X0)))))) != join(zero,meet(X0,converse(complement(converse(complement(X0))))))
| join(zero,meet(X0,converse(complement(converse(complement(X0)))))) != meet(X0,converse(complement(converse(complement(X0)))))
| join(complement(top),meet(X0,converse(complement(converse(complement(X0)))))) = meet(X0,converse(complement(converse(complement(X0))))) ),
inference(subst,[],[refute_0_100:[bind(X,$fot(join(complement(top),meet(X0,converse(complement(converse(complement(X0)))))))),bind(Y,$fot(join(zero,meet(X0,converse(complement(converse(complement(X0)))))))),bind(Z,$fot(meet(X0,converse(complement(converse(complement(X0)))))))]]) ).
cnf(refute_0_1314,plain,
( join(zero,meet(X0,converse(complement(converse(complement(X0)))))) != meet(X0,converse(complement(converse(complement(X0)))))
| join(complement(top),meet(X0,converse(complement(converse(complement(X0)))))) = meet(X0,converse(complement(converse(complement(X0))))) ),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X0,converse(complement(converse(complement(X0)))))),join(zero,meet(X0,converse(complement(converse(complement(X0))))))) )],[refute_0_1312,refute_0_1313]) ).
cnf(refute_0_1315,plain,
join(complement(top),meet(X0,converse(complement(converse(complement(X0)))))) = meet(X0,converse(complement(converse(complement(X0))))),
inference(resolve,[$cnf( $equal(join(zero,meet(X0,converse(complement(converse(complement(X0)))))),meet(X0,converse(complement(converse(complement(X0)))))) )],[refute_0_1308,refute_0_1314]) ).
cnf(refute_0_1316,plain,
join(meet(X0,converse(complement(converse(complement(X0))))),complement(top)) = join(complement(top),meet(X0,converse(complement(converse(complement(X0)))))),
inference(subst,[],[refute_0_9:[bind(X0,$fot(complement(top))),bind(X1,$fot(meet(X0,converse(complement(converse(complement(X0)))))))]]) ).
cnf(refute_0_1317,plain,
( join(complement(top),meet(X0,converse(complement(converse(complement(X0)))))) != meet(X0,converse(complement(converse(complement(X0)))))
| join(meet(X0,converse(complement(converse(complement(X0))))),complement(top)) != join(complement(top),meet(X0,converse(complement(converse(complement(X0))))))
| join(meet(X0,converse(complement(converse(complement(X0))))),complement(top)) = meet(X0,converse(complement(converse(complement(X0))))) ),
inference(subst,[],[refute_0_100:[bind(X,$fot(join(meet(X0,converse(complement(converse(complement(X0))))),complement(top)))),bind(Y,$fot(join(complement(top),meet(X0,converse(complement(converse(complement(X0)))))))),bind(Z,$fot(meet(X0,converse(complement(converse(complement(X0)))))))]]) ).
cnf(refute_0_1318,plain,
( join(complement(top),meet(X0,converse(complement(converse(complement(X0)))))) != meet(X0,converse(complement(converse(complement(X0)))))
| join(meet(X0,converse(complement(converse(complement(X0))))),complement(top)) = meet(X0,converse(complement(converse(complement(X0))))) ),
inference(resolve,[$cnf( $equal(join(meet(X0,converse(complement(converse(complement(X0))))),complement(top)),join(complement(top),meet(X0,converse(complement(converse(complement(X0))))))) )],[refute_0_1316,refute_0_1317]) ).
cnf(refute_0_1319,plain,
join(meet(X0,converse(complement(converse(complement(X0))))),complement(top)) = meet(X0,converse(complement(converse(complement(X0))))),
inference(resolve,[$cnf( $equal(join(complement(top),meet(X0,converse(complement(converse(complement(X0)))))),meet(X0,converse(complement(converse(complement(X0)))))) )],[refute_0_1315,refute_0_1318]) ).
cnf(refute_0_1320,plain,
( X0 != join(meet(X0,converse(complement(converse(complement(X0))))),complement(top))
| join(meet(X0,converse(complement(converse(complement(X0))))),complement(top)) != meet(X0,converse(complement(converse(complement(X0)))))
| X0 = meet(X0,converse(complement(converse(complement(X0))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X0,meet(X0,converse(complement(converse(complement(X0)))))) ),[0],$fot(join(meet(X0,converse(complement(converse(complement(X0))))),complement(top)))]]) ).
cnf(refute_0_1321,plain,
( X0 != join(meet(X0,converse(complement(converse(complement(X0))))),complement(top))
| X0 = meet(X0,converse(complement(converse(complement(X0))))) ),
inference(resolve,[$cnf( $equal(join(meet(X0,converse(complement(converse(complement(X0))))),complement(top)),meet(X0,converse(complement(converse(complement(X0)))))) )],[refute_0_1319,refute_0_1320]) ).
cnf(refute_0_1322,plain,
X0 = meet(X0,converse(complement(converse(complement(X0))))),
inference(resolve,[$cnf( $equal(X0,join(meet(X0,converse(complement(converse(complement(X0))))),complement(top))) )],[refute_0_1307,refute_0_1321]) ).
cnf(refute_0_1323,plain,
complement(X_40) = meet(complement(X_40),converse(complement(converse(complement(complement(X_40)))))),
inference(subst,[],[refute_0_1322:[bind(X0,$fot(complement(X_40)))]]) ).
cnf(refute_0_1324,plain,
( X_40 != complement(complement(X_40))
| complement(complement(X_40)) = X_40 ),
inference(subst,[],[refute_0_7:[bind(X,$fot(X_40)),bind(Y,$fot(complement(complement(X_40))))]]) ).
cnf(refute_0_1325,plain,
complement(complement(X_40)) = X_40,
inference(resolve,[$cnf( $equal(X_40,complement(complement(X_40))) )],[refute_0_707,refute_0_1324]) ).
cnf(refute_0_1326,plain,
( complement(X_40) != meet(complement(X_40),converse(complement(converse(complement(complement(X_40))))))
| complement(complement(X_40)) != X_40
| complement(X_40) = meet(complement(X_40),converse(complement(converse(X_40)))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(X_40),meet(complement(X_40),converse(complement(converse(complement(complement(X_40))))))) ),[1,1,0,0,0],$fot(X_40)]]) ).
cnf(refute_0_1327,plain,
( complement(X_40) != meet(complement(X_40),converse(complement(converse(complement(complement(X_40))))))
| complement(X_40) = meet(complement(X_40),converse(complement(converse(X_40)))) ),
inference(resolve,[$cnf( $equal(complement(complement(X_40)),X_40) )],[refute_0_1325,refute_0_1326]) ).
cnf(refute_0_1328,plain,
complement(X_40) = meet(complement(X_40),converse(complement(converse(X_40)))),
inference(resolve,[$cnf( $equal(complement(X_40),meet(complement(X_40),converse(complement(converse(complement(complement(X_40))))))) )],[refute_0_1323,refute_0_1327]) ).
cnf(refute_0_1329,plain,
complement(converse(X0)) = meet(complement(converse(X0)),converse(complement(converse(converse(X0))))),
inference(subst,[],[refute_0_1328:[bind(X_40,$fot(converse(X0)))]]) ).
cnf(refute_0_1330,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_1331,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( $equal(converse(converse(X0)),X0) )],[refute_0_1,refute_0_1330]) ).
cnf(refute_0_1332,plain,
complement(converse(X0)) = meet(complement(converse(X0)),converse(complement(X0))),
inference(resolve,[$cnf( $equal(complement(converse(X0)),meet(complement(converse(X0)),converse(complement(converse(converse(X0)))))) )],[refute_0_1329,refute_0_1331]) ).
cnf(refute_0_1333,plain,
( complement(converse(X0)) != meet(complement(converse(X0)),converse(complement(X0)))
| meet(complement(converse(X0)),converse(complement(X0))) = complement(converse(X0)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(complement(converse(X0)))),bind(Y,$fot(meet(complement(converse(X0)),converse(complement(X0)))))]]) ).
cnf(refute_0_1334,plain,
meet(complement(converse(X0)),converse(complement(X0))) = complement(converse(X0)),
inference(resolve,[$cnf( $equal(complement(converse(X0)),meet(complement(converse(X0)),converse(complement(X0)))) )],[refute_0_1332,refute_0_1333]) ).
cnf(refute_0_1335,plain,
( converse(complement(X0)) != join(converse(complement(X0)),meet(complement(converse(X0)),converse(complement(X0))))
| meet(complement(converse(X0)),converse(complement(X0))) != complement(converse(X0))
| converse(complement(X0)) = join(converse(complement(X0)),complement(converse(X0))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(X0)),join(converse(complement(X0)),meet(complement(converse(X0)),converse(complement(X0))))) ),[1,1],$fot(complement(converse(X0)))]]) ).
cnf(refute_0_1336,plain,
( converse(complement(X0)) != join(converse(complement(X0)),meet(complement(converse(X0)),converse(complement(X0))))
| converse(complement(X0)) = join(converse(complement(X0)),complement(converse(X0))) ),
inference(resolve,[$cnf( $equal(meet(complement(converse(X0)),converse(complement(X0))),complement(converse(X0))) )],[refute_0_1334,refute_0_1335]) ).
cnf(refute_0_1337,plain,
converse(complement(X0)) = join(converse(complement(X0)),complement(converse(X0))),
inference(resolve,[$cnf( $equal(converse(complement(X0)),join(converse(complement(X0)),meet(complement(converse(X0)),converse(complement(X0))))) )],[refute_0_1290,refute_0_1336]) ).
cnf(refute_0_1338,plain,
join(X0,join(meet(X0,composition(top,complement(composition(top,X0)))),X2)) = join(join(X0,meet(X0,composition(top,complement(composition(top,X0))))),X2),
inference(subst,[],[refute_0_61:[bind(X1,$fot(meet(X0,composition(top,complement(composition(top,X0))))))]]) ).
cnf(refute_0_1339,plain,
X0 = join(meet(X0,composition(top,complement(composition(top,X0)))),complement(join(complement(X0),composition(top,complement(composition(top,X0)))))),
inference(subst,[],[refute_0_106:[bind(X1,$fot(composition(top,complement(composition(top,X0)))))]]) ).
cnf(refute_0_1340,plain,
join(complement(X_114),composition(converse(top),complement(composition(top,X_114)))) = complement(X_114),
inference(subst,[],[refute_0_13:[bind(X0,$fot(top)),bind(X1,$fot(X_114))]]) ).
cnf(refute_0_1341,plain,
( converse(top) != top
| join(complement(X_114),composition(converse(top),complement(composition(top,X_114)))) != complement(X_114)
| join(complement(X_114),composition(top,complement(composition(top,X_114)))) = complement(X_114) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_114),composition(converse(top),complement(composition(top,X_114)))),complement(X_114)) ),[0,1,0],$fot(top)]]) ).
cnf(refute_0_1342,plain,
( join(complement(X_114),composition(converse(top),complement(composition(top,X_114)))) != complement(X_114)
| join(complement(X_114),composition(top,complement(composition(top,X_114)))) = complement(X_114) ),
inference(resolve,[$cnf( $equal(converse(top),top) )],[refute_0_821,refute_0_1341]) ).
cnf(refute_0_1343,plain,
join(complement(X_114),composition(top,complement(composition(top,X_114)))) = complement(X_114),
inference(resolve,[$cnf( $equal(join(complement(X_114),composition(converse(top),complement(composition(top,X_114)))),complement(X_114)) )],[refute_0_1340,refute_0_1342]) ).
cnf(refute_0_1344,plain,
join(complement(X0),composition(top,complement(composition(top,X0)))) = complement(X0),
inference(subst,[],[refute_0_1343:[bind(X_114,$fot(X0))]]) ).
cnf(refute_0_1345,plain,
( X0 != join(meet(X0,composition(top,complement(composition(top,X0)))),complement(join(complement(X0),composition(top,complement(composition(top,X0))))))
| join(complement(X0),composition(top,complement(composition(top,X0)))) != complement(X0)
| X0 = join(meet(X0,composition(top,complement(composition(top,X0)))),complement(complement(X0))) ),
introduced(tautology,[equality,[$cnf( $equal(X0,join(meet(X0,composition(top,complement(composition(top,X0)))),complement(join(complement(X0),composition(top,complement(composition(top,X0))))))) ),[1,1,0],$fot(complement(X0))]]) ).
cnf(refute_0_1346,plain,
( X0 != join(meet(X0,composition(top,complement(composition(top,X0)))),complement(join(complement(X0),composition(top,complement(composition(top,X0))))))
| X0 = join(meet(X0,composition(top,complement(composition(top,X0)))),complement(complement(X0))) ),
inference(resolve,[$cnf( $equal(join(complement(X0),composition(top,complement(composition(top,X0)))),complement(X0)) )],[refute_0_1344,refute_0_1345]) ).
cnf(refute_0_1347,plain,
X0 = join(meet(X0,composition(top,complement(composition(top,X0)))),complement(complement(X0))),
inference(resolve,[$cnf( $equal(X0,join(meet(X0,composition(top,complement(composition(top,X0)))),complement(join(complement(X0),composition(top,complement(composition(top,X0))))))) )],[refute_0_1339,refute_0_1346]) ).
cnf(refute_0_1348,plain,
complement(complement(X0)) = X0,
inference(subst,[],[refute_0_1325:[bind(X_40,$fot(X0))]]) ).
cnf(refute_0_1349,plain,
join(complement(complement(X0)),meet(X0,composition(top,complement(composition(top,X0))))) = join(complement(complement(X0)),meet(X0,composition(top,complement(composition(top,X0))))),
introduced(tautology,[refl,[$fot(join(complement(complement(X0)),meet(X0,composition(top,complement(composition(top,X0))))))]]) ).
cnf(refute_0_1350,plain,
( complement(complement(X0)) != X0
| join(complement(complement(X0)),meet(X0,composition(top,complement(composition(top,X0))))) != join(complement(complement(X0)),meet(X0,composition(top,complement(composition(top,X0)))))
| join(complement(complement(X0)),meet(X0,composition(top,complement(composition(top,X0))))) = join(X0,meet(X0,composition(top,complement(composition(top,X0))))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(complement(X0)),meet(X0,composition(top,complement(composition(top,X0))))),join(complement(complement(X0)),meet(X0,composition(top,complement(composition(top,X0)))))) ),[1,0],$fot(X0)]]) ).
cnf(refute_0_1351,plain,
( complement(complement(X0)) != X0
| join(complement(complement(X0)),meet(X0,composition(top,complement(composition(top,X0))))) = join(X0,meet(X0,composition(top,complement(composition(top,X0))))) ),
inference(resolve,[$cnf( $equal(join(complement(complement(X0)),meet(X0,composition(top,complement(composition(top,X0))))),join(complement(complement(X0)),meet(X0,composition(top,complement(composition(top,X0)))))) )],[refute_0_1349,refute_0_1350]) ).
cnf(refute_0_1352,plain,
join(complement(complement(X0)),meet(X0,composition(top,complement(composition(top,X0))))) = join(X0,meet(X0,composition(top,complement(composition(top,X0))))),
inference(resolve,[$cnf( $equal(complement(complement(X0)),X0) )],[refute_0_1348,refute_0_1351]) ).
cnf(refute_0_1353,plain,
join(meet(X0,composition(top,complement(composition(top,X0)))),complement(complement(X0))) = join(complement(complement(X0)),meet(X0,composition(top,complement(composition(top,X0))))),
inference(subst,[],[refute_0_9:[bind(X0,$fot(complement(complement(X0)))),bind(X1,$fot(meet(X0,composition(top,complement(composition(top,X0))))))]]) ).
cnf(refute_0_1354,plain,
( join(complement(complement(X0)),meet(X0,composition(top,complement(composition(top,X0))))) != join(X0,meet(X0,composition(top,complement(composition(top,X0)))))
| join(meet(X0,composition(top,complement(composition(top,X0)))),complement(complement(X0))) != join(complement(complement(X0)),meet(X0,composition(top,complement(composition(top,X0)))))
| join(meet(X0,composition(top,complement(composition(top,X0)))),complement(complement(X0))) = join(X0,meet(X0,composition(top,complement(composition(top,X0))))) ),
inference(subst,[],[refute_0_100:[bind(X,$fot(join(meet(X0,composition(top,complement(composition(top,X0)))),complement(complement(X0))))),bind(Y,$fot(join(complement(complement(X0)),meet(X0,composition(top,complement(composition(top,X0))))))),bind(Z,$fot(join(X0,meet(X0,composition(top,complement(composition(top,X0)))))))]]) ).
cnf(refute_0_1355,plain,
( join(complement(complement(X0)),meet(X0,composition(top,complement(composition(top,X0))))) != join(X0,meet(X0,composition(top,complement(composition(top,X0)))))
| join(meet(X0,composition(top,complement(composition(top,X0)))),complement(complement(X0))) = join(X0,meet(X0,composition(top,complement(composition(top,X0))))) ),
inference(resolve,[$cnf( $equal(join(meet(X0,composition(top,complement(composition(top,X0)))),complement(complement(X0))),join(complement(complement(X0)),meet(X0,composition(top,complement(composition(top,X0)))))) )],[refute_0_1353,refute_0_1354]) ).
cnf(refute_0_1356,plain,
join(meet(X0,composition(top,complement(composition(top,X0)))),complement(complement(X0))) = join(X0,meet(X0,composition(top,complement(composition(top,X0))))),
inference(resolve,[$cnf( $equal(join(complement(complement(X0)),meet(X0,composition(top,complement(composition(top,X0))))),join(X0,meet(X0,composition(top,complement(composition(top,X0)))))) )],[refute_0_1352,refute_0_1355]) ).
cnf(refute_0_1357,plain,
( X0 != join(meet(X0,composition(top,complement(composition(top,X0)))),complement(complement(X0)))
| join(meet(X0,composition(top,complement(composition(top,X0)))),complement(complement(X0))) != join(X0,meet(X0,composition(top,complement(composition(top,X0)))))
| X0 = join(X0,meet(X0,composition(top,complement(composition(top,X0))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X0,join(X0,meet(X0,composition(top,complement(composition(top,X0)))))) ),[0],$fot(join(meet(X0,composition(top,complement(composition(top,X0)))),complement(complement(X0))))]]) ).
cnf(refute_0_1358,plain,
( X0 != join(meet(X0,composition(top,complement(composition(top,X0)))),complement(complement(X0)))
| X0 = join(X0,meet(X0,composition(top,complement(composition(top,X0))))) ),
inference(resolve,[$cnf( $equal(join(meet(X0,composition(top,complement(composition(top,X0)))),complement(complement(X0))),join(X0,meet(X0,composition(top,complement(composition(top,X0)))))) )],[refute_0_1356,refute_0_1357]) ).
cnf(refute_0_1359,plain,
X0 = join(X0,meet(X0,composition(top,complement(composition(top,X0))))),
inference(resolve,[$cnf( $equal(X0,join(meet(X0,composition(top,complement(composition(top,X0)))),complement(complement(X0)))) )],[refute_0_1347,refute_0_1358]) ).
cnf(refute_0_1360,plain,
( X0 != join(X0,meet(X0,composition(top,complement(composition(top,X0)))))
| join(X0,meet(X0,composition(top,complement(composition(top,X0))))) = X0 ),
inference(subst,[],[refute_0_7:[bind(X,$fot(X0)),bind(Y,$fot(join(X0,meet(X0,composition(top,complement(composition(top,X0)))))))]]) ).
cnf(refute_0_1361,plain,
join(X0,meet(X0,composition(top,complement(composition(top,X0))))) = X0,
inference(resolve,[$cnf( $equal(X0,join(X0,meet(X0,composition(top,complement(composition(top,X0)))))) )],[refute_0_1359,refute_0_1360]) ).
cnf(refute_0_1362,plain,
( join(X0,join(meet(X0,composition(top,complement(composition(top,X0)))),X2)) != join(join(X0,meet(X0,composition(top,complement(composition(top,X0))))),X2)
| join(X0,meet(X0,composition(top,complement(composition(top,X0))))) != X0
| join(X0,join(meet(X0,composition(top,complement(composition(top,X0)))),X2)) = join(X0,X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(X0,join(meet(X0,composition(top,complement(composition(top,X0)))),X2)),join(join(X0,meet(X0,composition(top,complement(composition(top,X0))))),X2)) ),[1,0],$fot(X0)]]) ).
cnf(refute_0_1363,plain,
( join(X0,join(meet(X0,composition(top,complement(composition(top,X0)))),X2)) != join(join(X0,meet(X0,composition(top,complement(composition(top,X0))))),X2)
| join(X0,join(meet(X0,composition(top,complement(composition(top,X0)))),X2)) = join(X0,X2) ),
inference(resolve,[$cnf( $equal(join(X0,meet(X0,composition(top,complement(composition(top,X0))))),X0) )],[refute_0_1361,refute_0_1362]) ).
cnf(refute_0_1364,plain,
join(X0,join(meet(X0,composition(top,complement(composition(top,X0)))),X2)) = join(X0,X2),
inference(resolve,[$cnf( $equal(join(X0,join(meet(X0,composition(top,complement(composition(top,X0)))),X2)),join(join(X0,meet(X0,composition(top,complement(composition(top,X0))))),X2)) )],[refute_0_1338,refute_0_1363]) ).
cnf(refute_0_1365,plain,
composition(top,complement(composition(top,X0))) = complement(composition(top,X0)),
inference(subst,[],[refute_0_882:[bind(X_166,$fot(X0))]]) ).
cnf(refute_0_1366,plain,
meet(X0,composition(top,complement(composition(top,X0)))) = meet(X0,composition(top,complement(composition(top,X0)))),
introduced(tautology,[refl,[$fot(meet(X0,composition(top,complement(composition(top,X0)))))]]) ).
cnf(refute_0_1367,plain,
( composition(top,complement(composition(top,X0))) != complement(composition(top,X0))
| meet(X0,composition(top,complement(composition(top,X0)))) != meet(X0,composition(top,complement(composition(top,X0))))
| meet(X0,composition(top,complement(composition(top,X0)))) = meet(X0,complement(composition(top,X0))) ),
introduced(tautology,[equality,[$cnf( $equal(meet(X0,composition(top,complement(composition(top,X0)))),meet(X0,composition(top,complement(composition(top,X0))))) ),[1,1],$fot(complement(composition(top,X0)))]]) ).
cnf(refute_0_1368,plain,
( composition(top,complement(composition(top,X0))) != complement(composition(top,X0))
| meet(X0,composition(top,complement(composition(top,X0)))) = meet(X0,complement(composition(top,X0))) ),
inference(resolve,[$cnf( $equal(meet(X0,composition(top,complement(composition(top,X0)))),meet(X0,composition(top,complement(composition(top,X0))))) )],[refute_0_1366,refute_0_1367]) ).
cnf(refute_0_1369,plain,
meet(X0,composition(top,complement(composition(top,X0)))) = meet(X0,complement(composition(top,X0))),
inference(resolve,[$cnf( $equal(composition(top,complement(composition(top,X0))),complement(composition(top,X0))) )],[refute_0_1365,refute_0_1368]) ).
cnf(refute_0_1370,plain,
join(meet(X0,composition(top,complement(composition(top,X0)))),X2) = join(meet(X0,composition(top,complement(composition(top,X0)))),X2),
introduced(tautology,[refl,[$fot(join(meet(X0,composition(top,complement(composition(top,X0)))),X2))]]) ).
cnf(refute_0_1371,plain,
( join(meet(X0,composition(top,complement(composition(top,X0)))),X2) != join(meet(X0,composition(top,complement(composition(top,X0)))),X2)
| meet(X0,composition(top,complement(composition(top,X0)))) != meet(X0,complement(composition(top,X0)))
| join(meet(X0,composition(top,complement(composition(top,X0)))),X2) = join(meet(X0,complement(composition(top,X0))),X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X0,composition(top,complement(composition(top,X0)))),X2),join(meet(X0,composition(top,complement(composition(top,X0)))),X2)) ),[1,0],$fot(meet(X0,complement(composition(top,X0))))]]) ).
cnf(refute_0_1372,plain,
( meet(X0,composition(top,complement(composition(top,X0)))) != meet(X0,complement(composition(top,X0)))
| join(meet(X0,composition(top,complement(composition(top,X0)))),X2) = join(meet(X0,complement(composition(top,X0))),X2) ),
inference(resolve,[$cnf( $equal(join(meet(X0,composition(top,complement(composition(top,X0)))),X2),join(meet(X0,composition(top,complement(composition(top,X0)))),X2)) )],[refute_0_1370,refute_0_1371]) ).
cnf(refute_0_1373,plain,
join(meet(X0,composition(top,complement(composition(top,X0)))),X2) = join(meet(X0,complement(composition(top,X0))),X2),
inference(resolve,[$cnf( $equal(meet(X0,composition(top,complement(composition(top,X0)))),meet(X0,complement(composition(top,X0)))) )],[refute_0_1369,refute_0_1372]) ).
cnf(refute_0_1374,plain,
join(X0,join(meet(X0,composition(top,complement(composition(top,X0)))),X2)) = join(X0,join(meet(X0,composition(top,complement(composition(top,X0)))),X2)),
introduced(tautology,[refl,[$fot(join(X0,join(meet(X0,composition(top,complement(composition(top,X0)))),X2)))]]) ).
cnf(refute_0_1375,plain,
( join(X0,join(meet(X0,composition(top,complement(composition(top,X0)))),X2)) != join(X0,join(meet(X0,composition(top,complement(composition(top,X0)))),X2))
| join(meet(X0,composition(top,complement(composition(top,X0)))),X2) != join(meet(X0,complement(composition(top,X0))),X2)
| join(X0,join(meet(X0,composition(top,complement(composition(top,X0)))),X2)) = join(X0,join(meet(X0,complement(composition(top,X0))),X2)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X0,join(meet(X0,composition(top,complement(composition(top,X0)))),X2)),join(X0,join(meet(X0,composition(top,complement(composition(top,X0)))),X2))) ),[1,1],$fot(join(meet(X0,complement(composition(top,X0))),X2))]]) ).
cnf(refute_0_1376,plain,
( join(meet(X0,composition(top,complement(composition(top,X0)))),X2) != join(meet(X0,complement(composition(top,X0))),X2)
| join(X0,join(meet(X0,composition(top,complement(composition(top,X0)))),X2)) = join(X0,join(meet(X0,complement(composition(top,X0))),X2)) ),
inference(resolve,[$cnf( $equal(join(X0,join(meet(X0,composition(top,complement(composition(top,X0)))),X2)),join(X0,join(meet(X0,composition(top,complement(composition(top,X0)))),X2))) )],[refute_0_1374,refute_0_1375]) ).
cnf(refute_0_1377,plain,
join(X0,join(meet(X0,composition(top,complement(composition(top,X0)))),X2)) = join(X0,join(meet(X0,complement(composition(top,X0))),X2)),
inference(resolve,[$cnf( $equal(join(meet(X0,composition(top,complement(composition(top,X0)))),X2),join(meet(X0,complement(composition(top,X0))),X2)) )],[refute_0_1373,refute_0_1376]) ).
cnf(refute_0_1378,plain,
( join(X0,join(meet(X0,composition(top,complement(composition(top,X0)))),X2)) != join(X0,X2)
| join(X0,join(meet(X0,composition(top,complement(composition(top,X0)))),X2)) != join(X0,join(meet(X0,complement(composition(top,X0))),X2))
| join(X0,join(meet(X0,complement(composition(top,X0))),X2)) = join(X0,X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(X0,join(meet(X0,composition(top,complement(composition(top,X0)))),X2)),join(X0,X2)) ),[0],$fot(join(X0,join(meet(X0,complement(composition(top,X0))),X2)))]]) ).
cnf(refute_0_1379,plain,
( join(X0,join(meet(X0,composition(top,complement(composition(top,X0)))),X2)) != join(X0,X2)
| join(X0,join(meet(X0,complement(composition(top,X0))),X2)) = join(X0,X2) ),
inference(resolve,[$cnf( $equal(join(X0,join(meet(X0,composition(top,complement(composition(top,X0)))),X2)),join(X0,join(meet(X0,complement(composition(top,X0))),X2))) )],[refute_0_1377,refute_0_1378]) ).
cnf(refute_0_1380,plain,
join(X0,join(meet(X0,complement(composition(top,X0))),X2)) = join(X0,X2),
inference(resolve,[$cnf( $equal(join(X0,join(meet(X0,composition(top,complement(composition(top,X0)))),X2)),join(X0,X2)) )],[refute_0_1364,refute_0_1379]) ).
cnf(refute_0_1381,plain,
join(meet(X_97,complement(X_252)),join(X_96,X_97)) = join(X_96,join(X_97,meet(X_97,complement(X_252)))),
inference(subst,[],[refute_0_1184:[bind(X0,$fot(meet(X_97,complement(X_252))))]]) ).
cnf(refute_0_1382,plain,
join(meet(X_59,X_60),meet(X_60,complement(X_59))) = join(meet(X_60,complement(X_59)),join(meet(X_59,X_60),meet(X_60,complement(X_59)))),
inference(subst,[],[refute_0_1200:[bind(X_97,$fot(meet(X_59,X_60))),bind(X_98,$fot(meet(X_60,complement(X_59))))]]) ).
cnf(refute_0_1383,plain,
meet(X_59,X_60) = meet(X_60,X_59),
inference(subst,[],[refute_0_197:[bind(X_14,$fot(X_59)),bind(X_15,$fot(X_60))]]) ).
cnf(refute_0_1384,plain,
( meet(X_59,X_60) != meet(X_60,X_59)
| meet(X_60,X_59) = meet(X_59,X_60) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(meet(X_59,X_60))),bind(Y,$fot(meet(X_60,X_59)))]]) ).
cnf(refute_0_1385,plain,
meet(X_60,X_59) = meet(X_59,X_60),
inference(resolve,[$cnf( $equal(meet(X_59,X_60),meet(X_60,X_59)) )],[refute_0_1383,refute_0_1384]) ).
cnf(refute_0_1386,plain,
( X_60 != join(meet(X_60,X_59),meet(X_60,complement(X_59)))
| meet(X_60,X_59) != meet(X_59,X_60)
| X_60 = join(meet(X_59,X_60),meet(X_60,complement(X_59))) ),
introduced(tautology,[equality,[$cnf( $equal(X_60,join(meet(X_60,X_59),meet(X_60,complement(X_59)))) ),[1,0],$fot(meet(X_59,X_60))]]) ).
cnf(refute_0_1387,plain,
( X_60 != join(meet(X_60,X_59),meet(X_60,complement(X_59)))
| X_60 = join(meet(X_59,X_60),meet(X_60,complement(X_59))) ),
inference(resolve,[$cnf( $equal(meet(X_60,X_59),meet(X_59,X_60)) )],[refute_0_1385,refute_0_1386]) ).
cnf(refute_0_1388,plain,
X_60 = join(meet(X_59,X_60),meet(X_60,complement(X_59))),
inference(resolve,[$cnf( $equal(X_60,join(meet(X_60,X_59),meet(X_60,complement(X_59)))) )],[refute_0_1213,refute_0_1387]) ).
cnf(refute_0_1389,plain,
( X_60 != join(meet(X_59,X_60),meet(X_60,complement(X_59)))
| join(meet(X_59,X_60),meet(X_60,complement(X_59))) = X_60 ),
inference(subst,[],[refute_0_7:[bind(X,$fot(X_60)),bind(Y,$fot(join(meet(X_59,X_60),meet(X_60,complement(X_59)))))]]) ).
cnf(refute_0_1390,plain,
join(meet(X_59,X_60),meet(X_60,complement(X_59))) = X_60,
inference(resolve,[$cnf( $equal(X_60,join(meet(X_59,X_60),meet(X_60,complement(X_59)))) )],[refute_0_1388,refute_0_1389]) ).
cnf(refute_0_1391,plain,
( join(meet(X_59,X_60),meet(X_60,complement(X_59))) != X_60
| join(meet(X_59,X_60),meet(X_60,complement(X_59))) != join(meet(X_60,complement(X_59)),join(meet(X_59,X_60),meet(X_60,complement(X_59))))
| X_60 = join(meet(X_60,complement(X_59)),join(meet(X_59,X_60),meet(X_60,complement(X_59)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_59,X_60),meet(X_60,complement(X_59))),join(meet(X_60,complement(X_59)),join(meet(X_59,X_60),meet(X_60,complement(X_59))))) ),[0],$fot(X_60)]]) ).
cnf(refute_0_1392,plain,
( join(meet(X_59,X_60),meet(X_60,complement(X_59))) != join(meet(X_60,complement(X_59)),join(meet(X_59,X_60),meet(X_60,complement(X_59))))
| X_60 = join(meet(X_60,complement(X_59)),join(meet(X_59,X_60),meet(X_60,complement(X_59)))) ),
inference(resolve,[$cnf( $equal(join(meet(X_59,X_60),meet(X_60,complement(X_59))),X_60) )],[refute_0_1390,refute_0_1391]) ).
cnf(refute_0_1393,plain,
X_60 = join(meet(X_60,complement(X_59)),join(meet(X_59,X_60),meet(X_60,complement(X_59)))),
inference(resolve,[$cnf( $equal(join(meet(X_59,X_60),meet(X_60,complement(X_59))),join(meet(X_60,complement(X_59)),join(meet(X_59,X_60),meet(X_60,complement(X_59))))) )],[refute_0_1382,refute_0_1392]) ).
cnf(refute_0_1394,plain,
join(meet(X_60,complement(X_59)),X_60) = join(X_60,meet(X_60,complement(X_59))),
inference(subst,[],[refute_0_9:[bind(X0,$fot(X_60)),bind(X1,$fot(meet(X_60,complement(X_59))))]]) ).
cnf(refute_0_1395,plain,
join(meet(X_60,complement(X_59)),join(X_156,meet(X_59,X_60))) = join(X_156,join(meet(X_59,X_60),meet(X_60,complement(X_59)))),
inference(subst,[],[refute_0_1184:[bind(X0,$fot(meet(X_60,complement(X_59)))),bind(X_96,$fot(X_156)),bind(X_97,$fot(meet(X_59,X_60)))]]) ).
cnf(refute_0_1396,plain,
( join(meet(X_59,X_60),meet(X_60,complement(X_59))) != X_60
| join(meet(X_60,complement(X_59)),join(X_156,meet(X_59,X_60))) != join(X_156,join(meet(X_59,X_60),meet(X_60,complement(X_59))))
| join(meet(X_60,complement(X_59)),join(X_156,meet(X_59,X_60))) = join(X_156,X_60) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_60,complement(X_59)),join(X_156,meet(X_59,X_60))),join(X_156,join(meet(X_59,X_60),meet(X_60,complement(X_59))))) ),[1,1],$fot(X_60)]]) ).
cnf(refute_0_1397,plain,
( join(meet(X_60,complement(X_59)),join(X_156,meet(X_59,X_60))) != join(X_156,join(meet(X_59,X_60),meet(X_60,complement(X_59))))
| join(meet(X_60,complement(X_59)),join(X_156,meet(X_59,X_60))) = join(X_156,X_60) ),
inference(resolve,[$cnf( $equal(join(meet(X_59,X_60),meet(X_60,complement(X_59))),X_60) )],[refute_0_1390,refute_0_1396]) ).
cnf(refute_0_1398,plain,
join(meet(X_60,complement(X_59)),join(X_156,meet(X_59,X_60))) = join(X_156,X_60),
inference(resolve,[$cnf( $equal(join(meet(X_60,complement(X_59)),join(X_156,meet(X_59,X_60))),join(X_156,join(meet(X_59,X_60),meet(X_60,complement(X_59))))) )],[refute_0_1395,refute_0_1397]) ).
cnf(refute_0_1399,plain,
join(meet(X_60,complement(X_59)),join(X_156,meet(X_59,X_60))) = join(meet(X_59,X_60),join(X_156,meet(X_60,complement(X_59)))),
inference(subst,[],[refute_0_1268:[bind(X_155,$fot(meet(X_59,X_60))),bind(X_156,$fot(meet(X_60,complement(X_59)))),bind(X_157,$fot(X_156))]]) ).
cnf(refute_0_1400,plain,
( join(meet(X_60,complement(X_59)),join(X_156,meet(X_59,X_60))) != join(X_156,X_60)
| join(meet(X_60,complement(X_59)),join(X_156,meet(X_59,X_60))) != join(meet(X_59,X_60),join(X_156,meet(X_60,complement(X_59))))
| join(meet(X_59,X_60),join(X_156,meet(X_60,complement(X_59)))) = join(X_156,X_60) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_60,complement(X_59)),join(X_156,meet(X_59,X_60))),join(X_156,X_60)) ),[0],$fot(join(meet(X_59,X_60),join(X_156,meet(X_60,complement(X_59)))))]]) ).
cnf(refute_0_1401,plain,
( join(meet(X_60,complement(X_59)),join(X_156,meet(X_59,X_60))) != join(X_156,X_60)
| join(meet(X_59,X_60),join(X_156,meet(X_60,complement(X_59)))) = join(X_156,X_60) ),
inference(resolve,[$cnf( $equal(join(meet(X_60,complement(X_59)),join(X_156,meet(X_59,X_60))),join(meet(X_59,X_60),join(X_156,meet(X_60,complement(X_59))))) )],[refute_0_1399,refute_0_1400]) ).
cnf(refute_0_1402,plain,
join(meet(X_59,X_60),join(X_156,meet(X_60,complement(X_59)))) = join(X_156,X_60),
inference(resolve,[$cnf( $equal(join(meet(X_60,complement(X_59)),join(X_156,meet(X_59,X_60))),join(X_156,X_60)) )],[refute_0_1398,refute_0_1401]) ).
cnf(refute_0_1403,plain,
join(meet(X_59,X_60),join(meet(X_60,complement(X_59)),meet(X_60,complement(X_59)))) = join(meet(X_60,complement(X_59)),X_60),
inference(subst,[],[refute_0_1402:[bind(X_156,$fot(meet(X_60,complement(X_59))))]]) ).
cnf(refute_0_1404,plain,
( join(meet(X_59,X_60),join(meet(X_60,complement(X_59)),meet(X_60,complement(X_59)))) != join(meet(X_60,complement(X_59)),X_60)
| join(meet(X_60,complement(X_59)),X_60) != join(X_60,meet(X_60,complement(X_59)))
| join(meet(X_59,X_60),join(meet(X_60,complement(X_59)),meet(X_60,complement(X_59)))) = join(X_60,meet(X_60,complement(X_59))) ),
inference(subst,[],[refute_0_100:[bind(X,$fot(join(meet(X_59,X_60),join(meet(X_60,complement(X_59)),meet(X_60,complement(X_59)))))),bind(Y,$fot(join(meet(X_60,complement(X_59)),X_60))),bind(Z,$fot(join(X_60,meet(X_60,complement(X_59)))))]]) ).
cnf(refute_0_1405,plain,
( join(meet(X_60,complement(X_59)),X_60) != join(X_60,meet(X_60,complement(X_59)))
| join(meet(X_59,X_60),join(meet(X_60,complement(X_59)),meet(X_60,complement(X_59)))) = join(X_60,meet(X_60,complement(X_59))) ),
inference(resolve,[$cnf( $equal(join(meet(X_59,X_60),join(meet(X_60,complement(X_59)),meet(X_60,complement(X_59)))),join(meet(X_60,complement(X_59)),X_60)) )],[refute_0_1403,refute_0_1404]) ).
cnf(refute_0_1406,plain,
join(meet(X_59,X_60),join(meet(X_60,complement(X_59)),meet(X_60,complement(X_59)))) = join(X_60,meet(X_60,complement(X_59))),
inference(resolve,[$cnf( $equal(join(meet(X_60,complement(X_59)),X_60),join(X_60,meet(X_60,complement(X_59)))) )],[refute_0_1394,refute_0_1405]) ).
cnf(refute_0_1407,plain,
join(meet(X_60,complement(X_59)),join(meet(X_59,X_60),meet(X_60,complement(X_59)))) = join(meet(X_59,X_60),join(meet(X_60,complement(X_59)),meet(X_60,complement(X_59)))),
inference(subst,[],[refute_0_1282:[bind(X0,$fot(meet(X_59,X_60))),bind(X1,$fot(meet(X_60,complement(X_59)))),bind(X_250,$fot(meet(X_60,complement(X_59))))]]) ).
cnf(refute_0_1408,plain,
( join(meet(X_59,X_60),join(meet(X_60,complement(X_59)),meet(X_60,complement(X_59)))) != join(X_60,meet(X_60,complement(X_59)))
| join(meet(X_60,complement(X_59)),join(meet(X_59,X_60),meet(X_60,complement(X_59)))) != join(meet(X_59,X_60),join(meet(X_60,complement(X_59)),meet(X_60,complement(X_59))))
| join(meet(X_60,complement(X_59)),join(meet(X_59,X_60),meet(X_60,complement(X_59)))) = join(X_60,meet(X_60,complement(X_59))) ),
inference(subst,[],[refute_0_100:[bind(X,$fot(join(meet(X_60,complement(X_59)),join(meet(X_59,X_60),meet(X_60,complement(X_59)))))),bind(Y,$fot(join(meet(X_59,X_60),join(meet(X_60,complement(X_59)),meet(X_60,complement(X_59)))))),bind(Z,$fot(join(X_60,meet(X_60,complement(X_59)))))]]) ).
cnf(refute_0_1409,plain,
( join(meet(X_59,X_60),join(meet(X_60,complement(X_59)),meet(X_60,complement(X_59)))) != join(X_60,meet(X_60,complement(X_59)))
| join(meet(X_60,complement(X_59)),join(meet(X_59,X_60),meet(X_60,complement(X_59)))) = join(X_60,meet(X_60,complement(X_59))) ),
inference(resolve,[$cnf( $equal(join(meet(X_60,complement(X_59)),join(meet(X_59,X_60),meet(X_60,complement(X_59)))),join(meet(X_59,X_60),join(meet(X_60,complement(X_59)),meet(X_60,complement(X_59))))) )],[refute_0_1407,refute_0_1408]) ).
cnf(refute_0_1410,plain,
join(meet(X_60,complement(X_59)),join(meet(X_59,X_60),meet(X_60,complement(X_59)))) = join(X_60,meet(X_60,complement(X_59))),
inference(resolve,[$cnf( $equal(join(meet(X_59,X_60),join(meet(X_60,complement(X_59)),meet(X_60,complement(X_59)))),join(X_60,meet(X_60,complement(X_59)))) )],[refute_0_1406,refute_0_1409]) ).
cnf(refute_0_1411,plain,
( X_60 != join(meet(X_60,complement(X_59)),join(meet(X_59,X_60),meet(X_60,complement(X_59))))
| join(meet(X_60,complement(X_59)),join(meet(X_59,X_60),meet(X_60,complement(X_59)))) != join(X_60,meet(X_60,complement(X_59)))
| X_60 = join(X_60,meet(X_60,complement(X_59))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_60,join(X_60,meet(X_60,complement(X_59)))) ),[0],$fot(join(meet(X_60,complement(X_59)),join(meet(X_59,X_60),meet(X_60,complement(X_59)))))]]) ).
cnf(refute_0_1412,plain,
( X_60 != join(meet(X_60,complement(X_59)),join(meet(X_59,X_60),meet(X_60,complement(X_59))))
| X_60 = join(X_60,meet(X_60,complement(X_59))) ),
inference(resolve,[$cnf( $equal(join(meet(X_60,complement(X_59)),join(meet(X_59,X_60),meet(X_60,complement(X_59)))),join(X_60,meet(X_60,complement(X_59)))) )],[refute_0_1410,refute_0_1411]) ).
cnf(refute_0_1413,plain,
X_60 = join(X_60,meet(X_60,complement(X_59))),
inference(resolve,[$cnf( $equal(X_60,join(meet(X_60,complement(X_59)),join(meet(X_59,X_60),meet(X_60,complement(X_59))))) )],[refute_0_1393,refute_0_1412]) ).
cnf(refute_0_1414,plain,
X_97 = join(X_97,meet(X_97,complement(X_252))),
inference(subst,[],[refute_0_1413:[bind(X_59,$fot(X_252)),bind(X_60,$fot(X_97))]]) ).
cnf(refute_0_1415,plain,
( X_97 != join(X_97,meet(X_97,complement(X_252)))
| join(X_97,meet(X_97,complement(X_252))) = X_97 ),
inference(subst,[],[refute_0_7:[bind(X,$fot(X_97)),bind(Y,$fot(join(X_97,meet(X_97,complement(X_252)))))]]) ).
cnf(refute_0_1416,plain,
join(X_97,meet(X_97,complement(X_252))) = X_97,
inference(resolve,[$cnf( $equal(X_97,join(X_97,meet(X_97,complement(X_252)))) )],[refute_0_1414,refute_0_1415]) ).
cnf(refute_0_1417,plain,
( join(X_97,meet(X_97,complement(X_252))) != X_97
| join(meet(X_97,complement(X_252)),join(X_96,X_97)) != join(X_96,join(X_97,meet(X_97,complement(X_252))))
| join(meet(X_97,complement(X_252)),join(X_96,X_97)) = join(X_96,X_97) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_97,complement(X_252)),join(X_96,X_97)),join(X_96,join(X_97,meet(X_97,complement(X_252))))) ),[1,1],$fot(X_97)]]) ).
cnf(refute_0_1418,plain,
( join(meet(X_97,complement(X_252)),join(X_96,X_97)) != join(X_96,join(X_97,meet(X_97,complement(X_252))))
| join(meet(X_97,complement(X_252)),join(X_96,X_97)) = join(X_96,X_97) ),
inference(resolve,[$cnf( $equal(join(X_97,meet(X_97,complement(X_252))),X_97) )],[refute_0_1416,refute_0_1417]) ).
cnf(refute_0_1419,plain,
join(meet(X_97,complement(X_252)),join(X_96,X_97)) = join(X_96,X_97),
inference(resolve,[$cnf( $equal(join(meet(X_97,complement(X_252)),join(X_96,X_97)),join(X_96,join(X_97,meet(X_97,complement(X_252))))) )],[refute_0_1381,refute_0_1418]) ).
cnf(refute_0_1420,plain,
join(X0,join(X1,join(X_250,join(X0,X1)))) = join(join(X0,X1),join(X_250,join(X0,X1))),
inference(subst,[],[refute_0_61:[bind(X2,$fot(join(X_250,join(X0,X1))))]]) ).
cnf(refute_0_1421,plain,
join(X_250,join(X0,X1)) = join(join(X0,X1),join(X_250,join(X0,X1))),
inference(subst,[],[refute_0_1200:[bind(X_97,$fot(X_250)),bind(X_98,$fot(join(X0,X1)))]]) ).
cnf(refute_0_1422,plain,
( join(X_250,join(X0,X1)) != join(join(X0,X1),join(X_250,join(X0,X1)))
| join(join(X0,X1),join(X_250,join(X0,X1))) = join(X_250,join(X0,X1)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(X_250,join(X0,X1)))),bind(Y,$fot(join(join(X0,X1),join(X_250,join(X0,X1)))))]]) ).
cnf(refute_0_1423,plain,
join(join(X0,X1),join(X_250,join(X0,X1))) = join(X_250,join(X0,X1)),
inference(resolve,[$cnf( $equal(join(X_250,join(X0,X1)),join(join(X0,X1),join(X_250,join(X0,X1)))) )],[refute_0_1421,refute_0_1422]) ).
cnf(refute_0_1424,plain,
( join(X0,join(X1,join(X_250,join(X0,X1)))) != join(join(X0,X1),join(X_250,join(X0,X1)))
| join(join(X0,X1),join(X_250,join(X0,X1))) != join(X_250,join(X0,X1))
| join(X0,join(X1,join(X_250,join(X0,X1)))) = join(X_250,join(X0,X1)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X0,join(X1,join(X_250,join(X0,X1)))),join(X_250,join(X0,X1))) ),[0],$fot(join(join(X0,X1),join(X_250,join(X0,X1))))]]) ).
cnf(refute_0_1425,plain,
( join(X0,join(X1,join(X_250,join(X0,X1)))) != join(join(X0,X1),join(X_250,join(X0,X1)))
| join(X0,join(X1,join(X_250,join(X0,X1)))) = join(X_250,join(X0,X1)) ),
inference(resolve,[$cnf( $equal(join(join(X0,X1),join(X_250,join(X0,X1))),join(X_250,join(X0,X1))) )],[refute_0_1423,refute_0_1424]) ).
cnf(refute_0_1426,plain,
join(X0,join(X1,join(X_250,join(X0,X1)))) = join(X_250,join(X0,X1)),
inference(resolve,[$cnf( $equal(join(X0,join(X1,join(X_250,join(X0,X1)))),join(join(X0,X1),join(X_250,join(X0,X1)))) )],[refute_0_1420,refute_0_1425]) ).
cnf(refute_0_1427,plain,
join(X0,join(X_96,join(X_250,X_96))) = join(X_96,join(join(X_250,X_96),X0)),
inference(subst,[],[refute_0_1184:[bind(X_97,$fot(join(X_250,X_96)))]]) ).
cnf(refute_0_1428,plain,
join(X_250,X_96) = join(X_96,join(X_250,X_96)),
inference(subst,[],[refute_0_1200:[bind(X_97,$fot(X_250)),bind(X_98,$fot(X_96))]]) ).
cnf(refute_0_1429,plain,
( join(X_250,X_96) != join(X_96,join(X_250,X_96))
| join(X_96,join(X_250,X_96)) = join(X_250,X_96) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(X_250,X_96))),bind(Y,$fot(join(X_96,join(X_250,X_96))))]]) ).
cnf(refute_0_1430,plain,
join(X_96,join(X_250,X_96)) = join(X_250,X_96),
inference(resolve,[$cnf( $equal(join(X_250,X_96),join(X_96,join(X_250,X_96))) )],[refute_0_1428,refute_0_1429]) ).
cnf(refute_0_1431,plain,
( join(X0,join(X_96,join(X_250,X_96))) != join(X_96,join(join(X_250,X_96),X0))
| join(X_96,join(X_250,X_96)) != join(X_250,X_96)
| join(X0,join(X_250,X_96)) = join(X_96,join(join(X_250,X_96),X0)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X0,join(X_96,join(X_250,X_96))),join(X_96,join(join(X_250,X_96),X0))) ),[0,1],$fot(join(X_250,X_96))]]) ).
cnf(refute_0_1432,plain,
( join(X0,join(X_96,join(X_250,X_96))) != join(X_96,join(join(X_250,X_96),X0))
| join(X0,join(X_250,X_96)) = join(X_96,join(join(X_250,X_96),X0)) ),
inference(resolve,[$cnf( $equal(join(X_96,join(X_250,X_96)),join(X_250,X_96)) )],[refute_0_1430,refute_0_1431]) ).
cnf(refute_0_1433,plain,
join(X0,join(X_250,X_96)) = join(X_96,join(join(X_250,X_96),X0)),
inference(resolve,[$cnf( $equal(join(X0,join(X_96,join(X_250,X_96))),join(X_96,join(join(X_250,X_96),X0))) )],[refute_0_1427,refute_0_1432]) ).
cnf(refute_0_1434,plain,
join(join(X_250,X_96),X0) = join(X_250,join(X_96,X0)),
inference(subst,[],[refute_0_161:[bind(X0,$fot(X_250)),bind(X1,$fot(X_96)),bind(X2,$fot(X0))]]) ).
cnf(refute_0_1435,plain,
join(X_96,join(join(X_250,X_96),X0)) = join(X_96,join(join(X_250,X_96),X0)),
introduced(tautology,[refl,[$fot(join(X_96,join(join(X_250,X_96),X0)))]]) ).
cnf(refute_0_1436,plain,
( join(X_96,join(join(X_250,X_96),X0)) != join(X_96,join(join(X_250,X_96),X0))
| join(join(X_250,X_96),X0) != join(X_250,join(X_96,X0))
| join(X_96,join(join(X_250,X_96),X0)) = join(X_96,join(X_250,join(X_96,X0))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X_96,join(join(X_250,X_96),X0)),join(X_96,join(join(X_250,X_96),X0))) ),[1,1],$fot(join(X_250,join(X_96,X0)))]]) ).
cnf(refute_0_1437,plain,
( join(join(X_250,X_96),X0) != join(X_250,join(X_96,X0))
| join(X_96,join(join(X_250,X_96),X0)) = join(X_96,join(X_250,join(X_96,X0))) ),
inference(resolve,[$cnf( $equal(join(X_96,join(join(X_250,X_96),X0)),join(X_96,join(join(X_250,X_96),X0))) )],[refute_0_1435,refute_0_1436]) ).
cnf(refute_0_1438,plain,
join(X_96,join(join(X_250,X_96),X0)) = join(X_96,join(X_250,join(X_96,X0))),
inference(resolve,[$cnf( $equal(join(join(X_250,X_96),X0),join(X_250,join(X_96,X0))) )],[refute_0_1434,refute_0_1437]) ).
cnf(refute_0_1439,plain,
( join(X0,join(X_250,X_96)) != join(X_96,join(join(X_250,X_96),X0))
| join(X_96,join(join(X_250,X_96),X0)) != join(X_96,join(X_250,join(X_96,X0)))
| join(X0,join(X_250,X_96)) = join(X_96,join(X_250,join(X_96,X0))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(join(X0,join(X_250,X_96)),join(X_96,join(X_250,join(X_96,X0)))) ),[0],$fot(join(X_96,join(join(X_250,X_96),X0)))]]) ).
cnf(refute_0_1440,plain,
( join(X0,join(X_250,X_96)) != join(X_96,join(join(X_250,X_96),X0))
| join(X0,join(X_250,X_96)) = join(X_96,join(X_250,join(X_96,X0))) ),
inference(resolve,[$cnf( $equal(join(X_96,join(join(X_250,X_96),X0)),join(X_96,join(X_250,join(X_96,X0)))) )],[refute_0_1438,refute_0_1439]) ).
cnf(refute_0_1441,plain,
join(X0,join(X_250,X_96)) = join(X_96,join(X_250,join(X_96,X0))),
inference(resolve,[$cnf( $equal(join(X0,join(X_250,X_96)),join(X_96,join(join(X_250,X_96),X0))) )],[refute_0_1433,refute_0_1440]) ).
cnf(refute_0_1442,plain,
( join(X0,join(X_250,X_96)) != join(X_96,join(X_250,join(X_96,X0)))
| join(X_96,join(X_250,join(X_96,X0))) = join(X0,join(X_250,X_96)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(X0,join(X_250,X_96)))),bind(Y,$fot(join(X_96,join(X_250,join(X_96,X0)))))]]) ).
cnf(refute_0_1443,plain,
join(X_96,join(X_250,join(X_96,X0))) = join(X0,join(X_250,X_96)),
inference(resolve,[$cnf( $equal(join(X0,join(X_250,X_96)),join(X_96,join(X_250,join(X_96,X0)))) )],[refute_0_1441,refute_0_1442]) ).
cnf(refute_0_1444,plain,
join(X0,join(X_250,join(X0,X1))) = join(X1,join(X_250,X0)),
inference(subst,[],[refute_0_1443:[bind(X0,$fot(X1)),bind(X_96,$fot(X0))]]) ).
cnf(refute_0_1445,plain,
join(X0,join(X1,join(X_250,join(X0,X1)))) = join(X0,join(X1,join(X_250,join(X0,X1)))),
introduced(tautology,[refl,[$fot(join(X0,join(X1,join(X_250,join(X0,X1)))))]]) ).
cnf(refute_0_1446,plain,
( join(X0,join(X1,join(X_250,join(X0,X1)))) != join(X0,join(X1,join(X_250,join(X0,X1))))
| join(X1,join(X_250,join(X0,X1))) != join(X_250,join(X0,X1))
| join(X0,join(X1,join(X_250,join(X0,X1)))) = join(X0,join(X_250,join(X0,X1))) ),
introduced(tautology,[equality,[$cnf( $equal(join(X0,join(X1,join(X_250,join(X0,X1)))),join(X0,join(X1,join(X_250,join(X0,X1))))) ),[1,1],$fot(join(X_250,join(X0,X1)))]]) ).
cnf(refute_0_1447,plain,
( join(X1,join(X_250,join(X0,X1))) != join(X_250,join(X0,X1))
| join(X0,join(X1,join(X_250,join(X0,X1)))) = join(X0,join(X_250,join(X0,X1))) ),
inference(resolve,[$cnf( $equal(join(X0,join(X1,join(X_250,join(X0,X1)))),join(X0,join(X1,join(X_250,join(X0,X1))))) )],[refute_0_1445,refute_0_1446]) ).
cnf(refute_0_1448,plain,
join(X0,join(X1,join(X_250,join(X0,X1)))) = join(X0,join(X_250,join(X0,X1))),
inference(resolve,[$cnf( $equal(join(X1,join(X_250,join(X0,X1))),join(X_250,join(X0,X1))) )],[refute_0_1273,refute_0_1447]) ).
cnf(refute_0_1449,plain,
( join(X0,join(X1,join(X_250,join(X0,X1)))) != join(X0,join(X_250,join(X0,X1)))
| join(X0,join(X_250,join(X0,X1))) != join(X1,join(X_250,X0))
| join(X0,join(X1,join(X_250,join(X0,X1)))) = join(X1,join(X_250,X0)) ),
inference(subst,[],[refute_0_100:[bind(X,$fot(join(X0,join(X1,join(X_250,join(X0,X1)))))),bind(Y,$fot(join(X0,join(X_250,join(X0,X1))))),bind(Z,$fot(join(X1,join(X_250,X0))))]]) ).
cnf(refute_0_1450,plain,
( join(X0,join(X_250,join(X0,X1))) != join(X1,join(X_250,X0))
| join(X0,join(X1,join(X_250,join(X0,X1)))) = join(X1,join(X_250,X0)) ),
inference(resolve,[$cnf( $equal(join(X0,join(X1,join(X_250,join(X0,X1)))),join(X0,join(X_250,join(X0,X1)))) )],[refute_0_1448,refute_0_1449]) ).
cnf(refute_0_1451,plain,
join(X0,join(X1,join(X_250,join(X0,X1)))) = join(X1,join(X_250,X0)),
inference(resolve,[$cnf( $equal(join(X0,join(X_250,join(X0,X1))),join(X1,join(X_250,X0))) )],[refute_0_1444,refute_0_1450]) ).
cnf(refute_0_1452,plain,
( join(X0,join(X1,join(X_250,join(X0,X1)))) != join(X1,join(X_250,X0))
| join(X0,join(X1,join(X_250,join(X0,X1)))) != join(X_250,join(X0,X1))
| join(X1,join(X_250,X0)) = join(X_250,join(X0,X1)) ),
introduced(tautology,[equality,[$cnf( $equal(join(X0,join(X1,join(X_250,join(X0,X1)))),join(X_250,join(X0,X1))) ),[0],$fot(join(X1,join(X_250,X0)))]]) ).
cnf(refute_0_1453,plain,
( join(X0,join(X1,join(X_250,join(X0,X1)))) != join(X_250,join(X0,X1))
| join(X1,join(X_250,X0)) = join(X_250,join(X0,X1)) ),
inference(resolve,[$cnf( $equal(join(X0,join(X1,join(X_250,join(X0,X1)))),join(X1,join(X_250,X0))) )],[refute_0_1451,refute_0_1452]) ).
cnf(refute_0_1454,plain,
join(X1,join(X_250,X0)) = join(X_250,join(X0,X1)),
inference(resolve,[$cnf( $equal(join(X0,join(X1,join(X_250,join(X0,X1)))),join(X_250,join(X0,X1))) )],[refute_0_1426,refute_0_1453]) ).
cnf(refute_0_1455,plain,
( join(X1,join(X_250,X0)) != join(X_250,join(X0,X1))
| join(X_250,join(X0,X1)) = join(X1,join(X_250,X0)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(X1,join(X_250,X0)))),bind(Y,$fot(join(X_250,join(X0,X1))))]]) ).
cnf(refute_0_1456,plain,
join(X_250,join(X0,X1)) = join(X1,join(X_250,X0)),
inference(resolve,[$cnf( $equal(join(X1,join(X_250,X0)),join(X_250,join(X0,X1))) )],[refute_0_1454,refute_0_1455]) ).
cnf(refute_0_1457,plain,
join(meet(X_97,complement(X_252)),join(X_96,X_97)) = join(X_97,join(meet(X_97,complement(X_252)),X_96)),
inference(subst,[],[refute_0_1456:[bind(X0,$fot(X_96)),bind(X1,$fot(X_97)),bind(X_250,$fot(meet(X_97,complement(X_252))))]]) ).
cnf(refute_0_1458,plain,
( join(meet(X_97,complement(X_252)),join(X_96,X_97)) != join(X_96,X_97)
| join(meet(X_97,complement(X_252)),join(X_96,X_97)) != join(X_97,join(meet(X_97,complement(X_252)),X_96))
| join(X_97,join(meet(X_97,complement(X_252)),X_96)) = join(X_96,X_97) ),
introduced(tautology,[equality,[$cnf( $equal(join(meet(X_97,complement(X_252)),join(X_96,X_97)),join(X_96,X_97)) ),[0],$fot(join(X_97,join(meet(X_97,complement(X_252)),X_96)))]]) ).
cnf(refute_0_1459,plain,
( join(meet(X_97,complement(X_252)),join(X_96,X_97)) != join(X_96,X_97)
| join(X_97,join(meet(X_97,complement(X_252)),X_96)) = join(X_96,X_97) ),
inference(resolve,[$cnf( $equal(join(meet(X_97,complement(X_252)),join(X_96,X_97)),join(X_97,join(meet(X_97,complement(X_252)),X_96))) )],[refute_0_1457,refute_0_1458]) ).
cnf(refute_0_1460,plain,
join(X_97,join(meet(X_97,complement(X_252)),X_96)) = join(X_96,X_97),
inference(resolve,[$cnf( $equal(join(meet(X_97,complement(X_252)),join(X_96,X_97)),join(X_96,X_97)) )],[refute_0_1419,refute_0_1459]) ).
cnf(refute_0_1461,plain,
join(X0,join(meet(X0,complement(composition(top,X0))),X2)) = join(X2,X0),
inference(subst,[],[refute_0_1460:[bind(X_252,$fot(composition(top,X0))),bind(X_96,$fot(X2)),bind(X_97,$fot(X0))]]) ).
cnf(refute_0_1462,plain,
( join(X0,join(meet(X0,complement(composition(top,X0))),X2)) != join(X0,X2)
| join(X0,join(meet(X0,complement(composition(top,X0))),X2)) != join(X2,X0)
| join(X2,X0) = join(X0,X2) ),
introduced(tautology,[equality,[$cnf( $equal(join(X0,join(meet(X0,complement(composition(top,X0))),X2)),join(X0,X2)) ),[0],$fot(join(X2,X0))]]) ).
cnf(refute_0_1463,plain,
( join(X0,join(meet(X0,complement(composition(top,X0))),X2)) != join(X0,X2)
| join(X2,X0) = join(X0,X2) ),
inference(resolve,[$cnf( $equal(join(X0,join(meet(X0,complement(composition(top,X0))),X2)),join(X2,X0)) )],[refute_0_1461,refute_0_1462]) ).
cnf(refute_0_1464,plain,
join(X2,X0) = join(X0,X2),
inference(resolve,[$cnf( $equal(join(X0,join(meet(X0,complement(composition(top,X0))),X2)),join(X0,X2)) )],[refute_0_1380,refute_0_1463]) ).
cnf(refute_0_1465,plain,
( join(X2,X0) != join(X0,X2)
| join(X0,X2) = join(X2,X0) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(join(X2,X0))),bind(Y,$fot(join(X0,X2)))]]) ).
cnf(refute_0_1466,plain,
join(X0,X2) = join(X2,X0),
inference(resolve,[$cnf( $equal(join(X2,X0),join(X0,X2)) )],[refute_0_1464,refute_0_1465]) ).
cnf(refute_0_1467,plain,
join(converse(complement(X0)),complement(converse(X0))) = join(complement(converse(X0)),converse(complement(X0))),
inference(subst,[],[refute_0_1466:[bind(X0,$fot(converse(complement(X0)))),bind(X2,$fot(complement(converse(X0))))]]) ).
cnf(refute_0_1468,plain,
( converse(complement(X0)) != join(converse(complement(X0)),complement(converse(X0)))
| join(converse(complement(X0)),complement(converse(X0))) != join(complement(converse(X0)),converse(complement(X0)))
| converse(complement(X0)) = join(complement(converse(X0)),converse(complement(X0))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(complement(X0)),join(complement(converse(X0)),converse(complement(X0)))) ),[0],$fot(join(converse(complement(X0)),complement(converse(X0))))]]) ).
cnf(refute_0_1469,plain,
( converse(complement(X0)) != join(converse(complement(X0)),complement(converse(X0)))
| converse(complement(X0)) = join(complement(converse(X0)),converse(complement(X0))) ),
inference(resolve,[$cnf( $equal(join(converse(complement(X0)),complement(converse(X0))),join(complement(converse(X0)),converse(complement(X0)))) )],[refute_0_1467,refute_0_1468]) ).
cnf(refute_0_1470,plain,
converse(complement(X0)) = join(complement(converse(X0)),converse(complement(X0))),
inference(resolve,[$cnf( $equal(converse(complement(X0)),join(converse(complement(X0)),complement(converse(X0)))) )],[refute_0_1337,refute_0_1469]) ).
cnf(refute_0_1471,plain,
converse(complement(X_258)) = join(complement(converse(X_258)),converse(complement(X_258))),
inference(subst,[],[refute_0_1470:[bind(X0,$fot(X_258))]]) ).
cnf(refute_0_1472,plain,
( converse(complement(X_258)) != join(complement(converse(X_258)),converse(complement(X_258)))
| join(complement(converse(X_258)),converse(complement(X_258))) = converse(complement(X_258)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(converse(complement(X_258)))),bind(Y,$fot(join(complement(converse(X_258)),converse(complement(X_258)))))]]) ).
cnf(refute_0_1473,plain,
join(complement(converse(X_258)),converse(complement(X_258))) = converse(complement(X_258)),
inference(resolve,[$cnf( $equal(converse(complement(X_258)),join(complement(converse(X_258)),converse(complement(X_258)))) )],[refute_0_1471,refute_0_1472]) ).
cnf(refute_0_1474,plain,
( converse(join(converse(complement(X_258)),complement(converse(X_258)))) != converse(join(complement(converse(X_258)),converse(complement(X_258))))
| join(complement(converse(X_258)),converse(complement(X_258))) != converse(complement(X_258))
| converse(join(converse(complement(X_258)),complement(converse(X_258)))) = converse(converse(complement(X_258))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(complement(X_258)),complement(converse(X_258)))),converse(join(complement(converse(X_258)),converse(complement(X_258))))) ),[1,0],$fot(converse(complement(X_258)))]]) ).
cnf(refute_0_1475,plain,
( converse(join(converse(complement(X_258)),complement(converse(X_258)))) != converse(join(complement(converse(X_258)),converse(complement(X_258))))
| converse(join(converse(complement(X_258)),complement(converse(X_258)))) = converse(converse(complement(X_258))) ),
inference(resolve,[$cnf( $equal(join(complement(converse(X_258)),converse(complement(X_258))),converse(complement(X_258))) )],[refute_0_1473,refute_0_1474]) ).
cnf(refute_0_1476,plain,
converse(join(converse(complement(X_258)),complement(converse(X_258)))) = converse(converse(complement(X_258))),
inference(resolve,[$cnf( $equal(converse(join(converse(complement(X_258)),complement(converse(X_258)))),converse(join(complement(converse(X_258)),converse(complement(X_258))))) )],[refute_0_908,refute_0_1475]) ).
cnf(refute_0_1477,plain,
converse(complement(converse(complement(complement(X_254))))) = join(converse(complement(converse(complement(complement(X_254))))),meet(complement(X_254),converse(complement(converse(complement(complement(X_254))))))),
inference(subst,[],[refute_0_1289:[bind(X_148,$fot(X_254)),bind(X_149,$fot(converse(complement(converse(complement(complement(X_254)))))))]]) ).
cnf(refute_0_1478,plain,
complement(X_254) = meet(complement(X_254),converse(complement(converse(complement(complement(X_254)))))),
inference(subst,[],[refute_0_1322:[bind(X0,$fot(complement(X_254)))]]) ).
cnf(refute_0_1479,plain,
( complement(X_254) != meet(complement(X_254),converse(complement(converse(complement(complement(X_254))))))
| meet(complement(X_254),converse(complement(converse(complement(complement(X_254)))))) = complement(X_254) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(complement(X_254))),bind(Y,$fot(meet(complement(X_254),converse(complement(converse(complement(complement(X_254))))))))]]) ).
cnf(refute_0_1480,plain,
meet(complement(X_254),converse(complement(converse(complement(complement(X_254)))))) = complement(X_254),
inference(resolve,[$cnf( $equal(complement(X_254),meet(complement(X_254),converse(complement(converse(complement(complement(X_254))))))) )],[refute_0_1478,refute_0_1479]) ).
cnf(refute_0_1481,plain,
( converse(complement(converse(complement(complement(X_254))))) != join(converse(complement(converse(complement(complement(X_254))))),meet(complement(X_254),converse(complement(converse(complement(complement(X_254)))))))
| meet(complement(X_254),converse(complement(converse(complement(complement(X_254)))))) != complement(X_254)
| converse(complement(converse(complement(complement(X_254))))) = join(converse(complement(converse(complement(complement(X_254))))),complement(X_254)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(complement(complement(X_254))))),join(converse(complement(converse(complement(complement(X_254))))),meet(complement(X_254),converse(complement(converse(complement(complement(X_254)))))))) ),[1,1],$fot(complement(X_254))]]) ).
cnf(refute_0_1482,plain,
( converse(complement(converse(complement(complement(X_254))))) != join(converse(complement(converse(complement(complement(X_254))))),meet(complement(X_254),converse(complement(converse(complement(complement(X_254)))))))
| converse(complement(converse(complement(complement(X_254))))) = join(converse(complement(converse(complement(complement(X_254))))),complement(X_254)) ),
inference(resolve,[$cnf( $equal(meet(complement(X_254),converse(complement(converse(complement(complement(X_254)))))),complement(X_254)) )],[refute_0_1480,refute_0_1481]) ).
cnf(refute_0_1483,plain,
converse(complement(converse(complement(complement(X_254))))) = join(converse(complement(converse(complement(complement(X_254))))),complement(X_254)),
inference(resolve,[$cnf( $equal(converse(complement(converse(complement(complement(X_254))))),join(converse(complement(converse(complement(complement(X_254))))),meet(complement(X_254),converse(complement(converse(complement(complement(X_254)))))))) )],[refute_0_1477,refute_0_1482]) ).
cnf(refute_0_1484,plain,
complement(complement(X_254)) = X_254,
inference(subst,[],[refute_0_1325:[bind(X_40,$fot(X_254))]]) ).
cnf(refute_0_1485,plain,
converse(complement(complement(X_254))) = converse(complement(complement(X_254))),
introduced(tautology,[refl,[$fot(converse(complement(complement(X_254))))]]) ).
cnf(refute_0_1486,plain,
( complement(complement(X_254)) != X_254
| converse(complement(complement(X_254))) != converse(complement(complement(X_254)))
| converse(complement(complement(X_254))) = converse(X_254) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(complement(X_254))),converse(complement(complement(X_254)))) ),[1,0],$fot(X_254)]]) ).
cnf(refute_0_1487,plain,
( complement(complement(X_254)) != X_254
| converse(complement(complement(X_254))) = converse(X_254) ),
inference(resolve,[$cnf( $equal(converse(complement(complement(X_254))),converse(complement(complement(X_254)))) )],[refute_0_1485,refute_0_1486]) ).
cnf(refute_0_1488,plain,
converse(complement(complement(X_254))) = converse(X_254),
inference(resolve,[$cnf( $equal(complement(complement(X_254)),X_254) )],[refute_0_1484,refute_0_1487]) ).
cnf(refute_0_1489,plain,
complement(converse(complement(complement(X_254)))) = complement(converse(complement(complement(X_254)))),
introduced(tautology,[refl,[$fot(complement(converse(complement(complement(X_254)))))]]) ).
cnf(refute_0_1490,plain,
( complement(converse(complement(complement(X_254)))) != complement(converse(complement(complement(X_254))))
| converse(complement(complement(X_254))) != converse(X_254)
| complement(converse(complement(complement(X_254)))) = complement(converse(X_254)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(complement(complement(X_254)))),complement(converse(complement(complement(X_254))))) ),[1,0],$fot(converse(X_254))]]) ).
cnf(refute_0_1491,plain,
( converse(complement(complement(X_254))) != converse(X_254)
| complement(converse(complement(complement(X_254)))) = complement(converse(X_254)) ),
inference(resolve,[$cnf( $equal(complement(converse(complement(complement(X_254)))),complement(converse(complement(complement(X_254))))) )],[refute_0_1489,refute_0_1490]) ).
cnf(refute_0_1492,plain,
complement(converse(complement(complement(X_254)))) = complement(converse(X_254)),
inference(resolve,[$cnf( $equal(converse(complement(complement(X_254))),converse(X_254)) )],[refute_0_1488,refute_0_1491]) ).
cnf(refute_0_1493,plain,
converse(complement(converse(complement(complement(X_254))))) = converse(complement(converse(complement(complement(X_254))))),
introduced(tautology,[refl,[$fot(converse(complement(converse(complement(complement(X_254))))))]]) ).
cnf(refute_0_1494,plain,
( complement(converse(complement(complement(X_254)))) != complement(converse(X_254))
| converse(complement(converse(complement(complement(X_254))))) != converse(complement(converse(complement(complement(X_254)))))
| converse(complement(converse(complement(complement(X_254))))) = converse(complement(converse(X_254))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(complement(complement(X_254))))),converse(complement(converse(complement(complement(X_254)))))) ),[1,0],$fot(complement(converse(X_254)))]]) ).
cnf(refute_0_1495,plain,
( complement(converse(complement(complement(X_254)))) != complement(converse(X_254))
| converse(complement(converse(complement(complement(X_254))))) = converse(complement(converse(X_254))) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(complement(complement(X_254))))),converse(complement(converse(complement(complement(X_254)))))) )],[refute_0_1493,refute_0_1494]) ).
cnf(refute_0_1496,plain,
converse(complement(converse(complement(complement(X_254))))) = converse(complement(converse(X_254))),
inference(resolve,[$cnf( $equal(complement(converse(complement(complement(X_254)))),complement(converse(X_254))) )],[refute_0_1492,refute_0_1495]) ).
cnf(refute_0_1497,plain,
( converse(complement(converse(complement(complement(X_254))))) != converse(complement(converse(X_254)))
| converse(complement(converse(complement(complement(X_254))))) != join(converse(complement(converse(complement(complement(X_254))))),complement(X_254))
| converse(complement(converse(X_254))) = join(converse(complement(converse(complement(complement(X_254))))),complement(X_254)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(complement(complement(X_254))))),join(converse(complement(converse(complement(complement(X_254))))),complement(X_254))) ),[0],$fot(converse(complement(converse(X_254))))]]) ).
cnf(refute_0_1498,plain,
( converse(complement(converse(complement(complement(X_254))))) != join(converse(complement(converse(complement(complement(X_254))))),complement(X_254))
| converse(complement(converse(X_254))) = join(converse(complement(converse(complement(complement(X_254))))),complement(X_254)) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(complement(complement(X_254))))),converse(complement(converse(X_254)))) )],[refute_0_1496,refute_0_1497]) ).
cnf(refute_0_1499,plain,
join(complement(X_254),converse(complement(converse(complement(complement(X_254)))))) = join(complement(X_254),converse(complement(converse(complement(complement(X_254)))))),
introduced(tautology,[refl,[$fot(join(complement(X_254),converse(complement(converse(complement(complement(X_254)))))))]]) ).
cnf(refute_0_1500,plain,
( converse(complement(converse(complement(complement(X_254))))) != converse(complement(converse(X_254)))
| join(complement(X_254),converse(complement(converse(complement(complement(X_254)))))) != join(complement(X_254),converse(complement(converse(complement(complement(X_254))))))
| join(complement(X_254),converse(complement(converse(complement(complement(X_254)))))) = join(complement(X_254),converse(complement(converse(X_254)))) ),
introduced(tautology,[equality,[$cnf( $equal(join(complement(X_254),converse(complement(converse(complement(complement(X_254)))))),join(complement(X_254),converse(complement(converse(complement(complement(X_254))))))) ),[1,1],$fot(converse(complement(converse(X_254))))]]) ).
cnf(refute_0_1501,plain,
( converse(complement(converse(complement(complement(X_254))))) != converse(complement(converse(X_254)))
| join(complement(X_254),converse(complement(converse(complement(complement(X_254)))))) = join(complement(X_254),converse(complement(converse(X_254)))) ),
inference(resolve,[$cnf( $equal(join(complement(X_254),converse(complement(converse(complement(complement(X_254)))))),join(complement(X_254),converse(complement(converse(complement(complement(X_254))))))) )],[refute_0_1499,refute_0_1500]) ).
cnf(refute_0_1502,plain,
join(complement(X_254),converse(complement(converse(complement(complement(X_254)))))) = join(complement(X_254),converse(complement(converse(X_254)))),
inference(resolve,[$cnf( $equal(converse(complement(converse(complement(complement(X_254))))),converse(complement(converse(X_254)))) )],[refute_0_1496,refute_0_1501]) ).
cnf(refute_0_1503,plain,
join(converse(complement(converse(complement(complement(X_254))))),complement(X_254)) = join(complement(X_254),converse(complement(converse(complement(complement(X_254)))))),
inference(subst,[],[refute_0_1466:[bind(X0,$fot(converse(complement(converse(complement(complement(X_254))))))),bind(X2,$fot(complement(X_254)))]]) ).
cnf(refute_0_1504,plain,
( join(complement(X_254),converse(complement(converse(complement(complement(X_254)))))) != join(complement(X_254),converse(complement(converse(X_254))))
| join(converse(complement(converse(complement(complement(X_254))))),complement(X_254)) != join(complement(X_254),converse(complement(converse(complement(complement(X_254))))))
| join(converse(complement(converse(complement(complement(X_254))))),complement(X_254)) = join(complement(X_254),converse(complement(converse(X_254)))) ),
inference(subst,[],[refute_0_100:[bind(X,$fot(join(converse(complement(converse(complement(complement(X_254))))),complement(X_254)))),bind(Y,$fot(join(complement(X_254),converse(complement(converse(complement(complement(X_254)))))))),bind(Z,$fot(join(complement(X_254),converse(complement(converse(X_254))))))]]) ).
cnf(refute_0_1505,plain,
( join(complement(X_254),converse(complement(converse(complement(complement(X_254)))))) != join(complement(X_254),converse(complement(converse(X_254))))
| join(converse(complement(converse(complement(complement(X_254))))),complement(X_254)) = join(complement(X_254),converse(complement(converse(X_254)))) ),
inference(resolve,[$cnf( $equal(join(converse(complement(converse(complement(complement(X_254))))),complement(X_254)),join(complement(X_254),converse(complement(converse(complement(complement(X_254))))))) )],[refute_0_1503,refute_0_1504]) ).
cnf(refute_0_1506,plain,
join(converse(complement(converse(complement(complement(X_254))))),complement(X_254)) = join(complement(X_254),converse(complement(converse(X_254)))),
inference(resolve,[$cnf( $equal(join(complement(X_254),converse(complement(converse(complement(complement(X_254)))))),join(complement(X_254),converse(complement(converse(X_254))))) )],[refute_0_1502,refute_0_1505]) ).
cnf(refute_0_1507,plain,
( converse(complement(converse(X_254))) != join(converse(complement(converse(complement(complement(X_254))))),complement(X_254))
| join(converse(complement(converse(complement(complement(X_254))))),complement(X_254)) != join(complement(X_254),converse(complement(converse(X_254))))
| converse(complement(converse(X_254))) = join(complement(X_254),converse(complement(converse(X_254)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(complement(converse(X_254))),join(complement(X_254),converse(complement(converse(X_254))))) ),[0],$fot(join(converse(complement(converse(complement(complement(X_254))))),complement(X_254)))]]) ).
cnf(refute_0_1508,plain,
( converse(complement(converse(X_254))) != join(converse(complement(converse(complement(complement(X_254))))),complement(X_254))
| converse(complement(converse(X_254))) = join(complement(X_254),converse(complement(converse(X_254)))) ),
inference(resolve,[$cnf( $equal(join(converse(complement(converse(complement(complement(X_254))))),complement(X_254)),join(complement(X_254),converse(complement(converse(X_254))))) )],[refute_0_1506,refute_0_1507]) ).
cnf(refute_0_1509,plain,
( converse(complement(converse(complement(complement(X_254))))) != join(converse(complement(converse(complement(complement(X_254))))),complement(X_254))
| converse(complement(converse(X_254))) = join(complement(X_254),converse(complement(converse(X_254)))) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(X_254))),join(converse(complement(converse(complement(complement(X_254))))),complement(X_254))) )],[refute_0_1498,refute_0_1508]) ).
cnf(refute_0_1510,plain,
converse(complement(converse(X_254))) = join(complement(X_254),converse(complement(converse(X_254)))),
inference(resolve,[$cnf( $equal(converse(complement(converse(complement(complement(X_254))))),join(converse(complement(converse(complement(complement(X_254))))),complement(X_254))) )],[refute_0_1483,refute_0_1509]) ).
cnf(refute_0_1511,plain,
( converse(complement(converse(X_254))) != join(complement(X_254),converse(complement(converse(X_254))))
| join(complement(X_254),converse(complement(converse(X_254)))) = converse(complement(converse(X_254))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(converse(complement(converse(X_254))))),bind(Y,$fot(join(complement(X_254),converse(complement(converse(X_254))))))]]) ).
cnf(refute_0_1512,plain,
join(complement(X_254),converse(complement(converse(X_254)))) = converse(complement(converse(X_254))),
inference(resolve,[$cnf( $equal(converse(complement(converse(X_254))),join(complement(X_254),converse(complement(converse(X_254))))) )],[refute_0_1510,refute_0_1511]) ).
cnf(refute_0_1513,plain,
join(complement(X_258),converse(complement(converse(X_258)))) = converse(complement(converse(X_258))),
inference(subst,[],[refute_0_1512:[bind(X_254,$fot(X_258))]]) ).
cnf(refute_0_1514,plain,
converse(join(converse(complement(X_258)),complement(converse(X_258)))) = join(complement(X_258),converse(complement(converse(X_258)))),
inference(subst,[],[refute_0_308:[bind(X0,$fot(complement(X_258))),bind(X_23,$fot(complement(converse(X_258))))]]) ).
cnf(refute_0_1515,plain,
( converse(join(converse(complement(X_258)),complement(converse(X_258)))) != join(complement(X_258),converse(complement(converse(X_258))))
| join(complement(X_258),converse(complement(converse(X_258)))) != converse(complement(converse(X_258)))
| converse(join(converse(complement(X_258)),complement(converse(X_258)))) = converse(complement(converse(X_258))) ),
inference(subst,[],[refute_0_100:[bind(X,$fot(converse(join(converse(complement(X_258)),complement(converse(X_258)))))),bind(Y,$fot(join(complement(X_258),converse(complement(converse(X_258)))))),bind(Z,$fot(converse(complement(converse(X_258)))))]]) ).
cnf(refute_0_1516,plain,
( join(complement(X_258),converse(complement(converse(X_258)))) != converse(complement(converse(X_258)))
| converse(join(converse(complement(X_258)),complement(converse(X_258)))) = converse(complement(converse(X_258))) ),
inference(resolve,[$cnf( $equal(converse(join(converse(complement(X_258)),complement(converse(X_258)))),join(complement(X_258),converse(complement(converse(X_258))))) )],[refute_0_1514,refute_0_1515]) ).
cnf(refute_0_1517,plain,
converse(join(converse(complement(X_258)),complement(converse(X_258)))) = converse(complement(converse(X_258))),
inference(resolve,[$cnf( $equal(join(complement(X_258),converse(complement(converse(X_258)))),converse(complement(converse(X_258)))) )],[refute_0_1513,refute_0_1516]) ).
cnf(refute_0_1518,plain,
( converse(join(converse(complement(X_258)),complement(converse(X_258)))) != converse(complement(converse(X_258)))
| converse(join(converse(complement(X_258)),complement(converse(X_258)))) != converse(converse(complement(X_258)))
| converse(complement(converse(X_258))) = converse(converse(complement(X_258))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(join(converse(complement(X_258)),complement(converse(X_258)))),converse(converse(complement(X_258)))) ),[0],$fot(converse(complement(converse(X_258))))]]) ).
cnf(refute_0_1519,plain,
( converse(join(converse(complement(X_258)),complement(converse(X_258)))) != converse(converse(complement(X_258)))
| converse(complement(converse(X_258))) = converse(converse(complement(X_258))) ),
inference(resolve,[$cnf( $equal(converse(join(converse(complement(X_258)),complement(converse(X_258)))),converse(complement(converse(X_258)))) )],[refute_0_1517,refute_0_1518]) ).
cnf(refute_0_1520,plain,
converse(converse(complement(X_258))) = complement(X_258),
inference(subst,[],[refute_0_1:[bind(X0,$fot(complement(X_258)))]]) ).
cnf(refute_0_1521,plain,
( converse(complement(converse(X_258))) != converse(converse(complement(X_258)))
| converse(converse(complement(X_258))) != complement(X_258)
| converse(complement(converse(X_258))) = complement(X_258) ),
introduced(tautology,[equality,[$cnf( ~ $equal(converse(complement(converse(X_258))),complement(X_258)) ),[0],$fot(converse(converse(complement(X_258))))]]) ).
cnf(refute_0_1522,plain,
( converse(complement(converse(X_258))) != converse(converse(complement(X_258)))
| converse(complement(converse(X_258))) = complement(X_258) ),
inference(resolve,[$cnf( $equal(converse(converse(complement(X_258))),complement(X_258)) )],[refute_0_1520,refute_0_1521]) ).
cnf(refute_0_1523,plain,
( converse(join(converse(complement(X_258)),complement(converse(X_258)))) != converse(converse(complement(X_258)))
| converse(complement(converse(X_258))) = complement(X_258) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(X_258))),converse(converse(complement(X_258)))) )],[refute_0_1519,refute_0_1522]) ).
cnf(refute_0_1524,plain,
converse(complement(converse(X_258))) = complement(X_258),
inference(resolve,[$cnf( $equal(converse(join(converse(complement(X_258)),complement(converse(X_258)))),converse(converse(complement(X_258)))) )],[refute_0_1476,refute_0_1523]) ).
cnf(refute_0_1525,plain,
converse(complement(converse(X_259))) = complement(X_259),
inference(subst,[],[refute_0_1524:[bind(X_258,$fot(X_259))]]) ).
cnf(refute_0_1526,plain,
( converse(complement(converse(X_259))) != complement(X_259)
| converse(converse(complement(converse(X_259)))) != complement(converse(X_259))
| converse(complement(X_259)) = complement(converse(X_259)) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(complement(converse(X_259)))),complement(converse(X_259))) ),[0,0],$fot(complement(X_259))]]) ).
cnf(refute_0_1527,plain,
( converse(converse(complement(converse(X_259)))) != complement(converse(X_259))
| converse(complement(X_259)) = complement(converse(X_259)) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(X_259))),complement(X_259)) )],[refute_0_1525,refute_0_1526]) ).
cnf(refute_0_1528,plain,
converse(complement(X_259)) = complement(converse(X_259)),
inference(resolve,[$cnf( $equal(converse(converse(complement(converse(X_259)))),complement(converse(X_259))) )],[refute_0_894,refute_0_1527]) ).
cnf(refute_0_1529,plain,
converse(complement(X_260)) = complement(converse(X_260)),
inference(subst,[],[refute_0_1528:[bind(X_259,$fot(X_260))]]) ).
cnf(refute_0_1530,plain,
( converse(complement(X_260)) != complement(converse(X_260))
| converse(composition(complement(X_260),top)) != composition(top,converse(complement(X_260)))
| converse(composition(complement(X_260),top)) = composition(top,complement(converse(X_260))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(complement(X_260),top)),composition(top,converse(complement(X_260)))) ),[1,1],$fot(complement(converse(X_260)))]]) ).
cnf(refute_0_1531,plain,
( converse(composition(complement(X_260),top)) != composition(top,converse(complement(X_260)))
| converse(composition(complement(X_260),top)) = composition(top,complement(converse(X_260))) ),
inference(resolve,[$cnf( $equal(converse(complement(X_260)),complement(converse(X_260))) )],[refute_0_1529,refute_0_1530]) ).
cnf(refute_0_1532,plain,
converse(composition(complement(X_260),top)) = composition(top,complement(converse(X_260))),
inference(resolve,[$cnf( $equal(converse(composition(complement(X_260),top)),composition(top,converse(complement(X_260)))) )],[refute_0_893,refute_0_1531]) ).
cnf(refute_0_1533,plain,
( converse(composition(complement(X_260),top)) != composition(top,complement(converse(X_260)))
| composition(top,complement(converse(X_260))) = converse(composition(complement(X_260),top)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(converse(composition(complement(X_260),top)))),bind(Y,$fot(composition(top,complement(converse(X_260)))))]]) ).
cnf(refute_0_1534,plain,
composition(top,complement(converse(X_260))) = converse(composition(complement(X_260),top)),
inference(resolve,[$cnf( $equal(converse(composition(complement(X_260),top)),composition(top,complement(converse(X_260)))) )],[refute_0_1532,refute_0_1533]) ).
cnf(refute_0_1535,plain,
composition(top,complement(converse(composition(X_4,top)))) = converse(composition(complement(composition(X_4,top)),top)),
inference(subst,[],[refute_0_1534:[bind(X_260,$fot(composition(X_4,top)))]]) ).
cnf(refute_0_1536,plain,
( composition(top,complement(converse(composition(X_4,top)))) != complement(composition(top,converse(X_4)))
| composition(top,complement(converse(composition(X_4,top)))) != converse(composition(complement(composition(X_4,top)),top))
| converse(composition(complement(composition(X_4,top)),top)) = complement(composition(top,converse(X_4))) ),
introduced(tautology,[equality,[$cnf( $equal(composition(top,complement(converse(composition(X_4,top)))),complement(composition(top,converse(X_4)))) ),[0],$fot(converse(composition(complement(composition(X_4,top)),top)))]]) ).
cnf(refute_0_1537,plain,
( composition(top,complement(converse(composition(X_4,top)))) != complement(composition(top,converse(X_4)))
| converse(composition(complement(composition(X_4,top)),top)) = complement(composition(top,converse(X_4))) ),
inference(resolve,[$cnf( $equal(composition(top,complement(converse(composition(X_4,top)))),converse(composition(complement(composition(X_4,top)),top))) )],[refute_0_1535,refute_0_1536]) ).
cnf(refute_0_1538,plain,
complement(composition(top,converse(X_4))) = complement(composition(top,converse(X_4))),
introduced(tautology,[refl,[$fot(complement(composition(top,converse(X_4))))]]) ).
cnf(refute_0_1539,plain,
( complement(composition(top,converse(X_4))) != complement(composition(top,converse(X_4)))
| composition(top,converse(X_4)) != converse(composition(X_4,top))
| complement(composition(top,converse(X_4))) = complement(converse(composition(X_4,top))) ),
introduced(tautology,[equality,[$cnf( $equal(complement(composition(top,converse(X_4))),complement(composition(top,converse(X_4)))) ),[1,0],$fot(converse(composition(X_4,top)))]]) ).
cnf(refute_0_1540,plain,
( composition(top,converse(X_4)) != converse(composition(X_4,top))
| complement(composition(top,converse(X_4))) = complement(converse(composition(X_4,top))) ),
inference(resolve,[$cnf( $equal(complement(composition(top,converse(X_4))),complement(composition(top,converse(X_4)))) )],[refute_0_1538,refute_0_1539]) ).
cnf(refute_0_1541,plain,
complement(composition(top,converse(X_4))) = complement(converse(composition(X_4,top))),
inference(resolve,[$cnf( $equal(composition(top,converse(X_4)),converse(composition(X_4,top))) )],[refute_0_889,refute_0_1540]) ).
cnf(refute_0_1542,plain,
( complement(composition(top,converse(X_4))) != complement(converse(composition(X_4,top)))
| converse(composition(complement(composition(X_4,top)),top)) != complement(composition(top,converse(X_4)))
| converse(composition(complement(composition(X_4,top)),top)) = complement(converse(composition(X_4,top))) ),
introduced(tautology,[equality,[$cnf( $equal(converse(composition(complement(composition(X_4,top)),top)),complement(composition(top,converse(X_4)))) ),[1],$fot(complement(converse(composition(X_4,top))))]]) ).
cnf(refute_0_1543,plain,
( converse(composition(complement(composition(X_4,top)),top)) != complement(composition(top,converse(X_4)))
| converse(composition(complement(composition(X_4,top)),top)) = complement(converse(composition(X_4,top))) ),
inference(resolve,[$cnf( $equal(complement(composition(top,converse(X_4))),complement(converse(composition(X_4,top)))) )],[refute_0_1541,refute_0_1542]) ).
cnf(refute_0_1544,plain,
( composition(top,complement(converse(composition(X_4,top)))) != complement(composition(top,converse(X_4)))
| converse(composition(complement(composition(X_4,top)),top)) = complement(converse(composition(X_4,top))) ),
inference(resolve,[$cnf( $equal(converse(composition(complement(composition(X_4,top)),top)),complement(composition(top,converse(X_4)))) )],[refute_0_1537,refute_0_1543]) ).
cnf(refute_0_1545,plain,
converse(composition(complement(composition(X_4,top)),top)) = complement(converse(composition(X_4,top))),
inference(resolve,[$cnf( $equal(composition(top,complement(converse(composition(X_4,top)))),complement(composition(top,converse(X_4)))) )],[refute_0_892,refute_0_1544]) ).
cnf(refute_0_1546,plain,
converse(composition(complement(composition(X_594,top)),top)) = complement(converse(composition(X_594,top))),
inference(subst,[],[refute_0_1545:[bind(X_4,$fot(X_594))]]) ).
cnf(refute_0_1547,plain,
( converse(composition(complement(composition(X_594,top)),top)) != complement(converse(composition(X_594,top)))
| converse(converse(composition(complement(composition(X_594,top)),top))) != composition(complement(composition(X_594,top)),top)
| converse(complement(converse(composition(X_594,top)))) = composition(complement(composition(X_594,top)),top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(converse(composition(complement(composition(X_594,top)),top))),composition(complement(composition(X_594,top)),top)) ),[0,0],$fot(complement(converse(composition(X_594,top))))]]) ).
cnf(refute_0_1548,plain,
( converse(converse(composition(complement(composition(X_594,top)),top))) != composition(complement(composition(X_594,top)),top)
| converse(complement(converse(composition(X_594,top)))) = composition(complement(composition(X_594,top)),top) ),
inference(resolve,[$cnf( $equal(converse(composition(complement(composition(X_594,top)),top)),complement(converse(composition(X_594,top)))) )],[refute_0_1546,refute_0_1547]) ).
cnf(refute_0_1549,plain,
converse(complement(converse(composition(X_594,top)))) = composition(complement(composition(X_594,top)),top),
inference(resolve,[$cnf( $equal(converse(converse(composition(complement(composition(X_594,top)),top))),composition(complement(composition(X_594,top)),top)) )],[refute_0_2,refute_0_1548]) ).
cnf(refute_0_1550,plain,
converse(converse(composition(X_594,top))) = composition(X_594,top),
inference(subst,[],[refute_0_1:[bind(X0,$fot(composition(X_594,top)))]]) ).
cnf(refute_0_1551,plain,
complement(converse(converse(composition(X_594,top)))) = complement(converse(converse(composition(X_594,top)))),
introduced(tautology,[refl,[$fot(complement(converse(converse(composition(X_594,top)))))]]) ).
cnf(refute_0_1552,plain,
( complement(converse(converse(composition(X_594,top)))) != complement(converse(converse(composition(X_594,top))))
| converse(converse(composition(X_594,top))) != composition(X_594,top)
| complement(converse(converse(composition(X_594,top)))) = complement(composition(X_594,top)) ),
introduced(tautology,[equality,[$cnf( $equal(complement(converse(converse(composition(X_594,top)))),complement(converse(converse(composition(X_594,top))))) ),[1,0],$fot(composition(X_594,top))]]) ).
cnf(refute_0_1553,plain,
( converse(converse(composition(X_594,top))) != composition(X_594,top)
| complement(converse(converse(composition(X_594,top)))) = complement(composition(X_594,top)) ),
inference(resolve,[$cnf( $equal(complement(converse(converse(composition(X_594,top)))),complement(converse(converse(composition(X_594,top))))) )],[refute_0_1551,refute_0_1552]) ).
cnf(refute_0_1554,plain,
complement(converse(converse(composition(X_594,top)))) = complement(composition(X_594,top)),
inference(resolve,[$cnf( $equal(converse(converse(composition(X_594,top))),composition(X_594,top)) )],[refute_0_1550,refute_0_1553]) ).
cnf(refute_0_1555,plain,
converse(complement(converse(composition(X_594,top)))) = complement(converse(converse(composition(X_594,top)))),
inference(subst,[],[refute_0_1528:[bind(X_259,$fot(converse(composition(X_594,top))))]]) ).
cnf(refute_0_1556,plain,
( complement(converse(converse(composition(X_594,top)))) != complement(composition(X_594,top))
| converse(complement(converse(composition(X_594,top)))) != complement(converse(converse(composition(X_594,top))))
| converse(complement(converse(composition(X_594,top)))) = complement(composition(X_594,top)) ),
inference(subst,[],[refute_0_100:[bind(X,$fot(converse(complement(converse(composition(X_594,top)))))),bind(Y,$fot(complement(converse(converse(composition(X_594,top)))))),bind(Z,$fot(complement(composition(X_594,top))))]]) ).
cnf(refute_0_1557,plain,
( complement(converse(converse(composition(X_594,top)))) != complement(composition(X_594,top))
| converse(complement(converse(composition(X_594,top)))) = complement(composition(X_594,top)) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(composition(X_594,top)))),complement(converse(converse(composition(X_594,top))))) )],[refute_0_1555,refute_0_1556]) ).
cnf(refute_0_1558,plain,
converse(complement(converse(composition(X_594,top)))) = complement(composition(X_594,top)),
inference(resolve,[$cnf( $equal(complement(converse(converse(composition(X_594,top)))),complement(composition(X_594,top))) )],[refute_0_1554,refute_0_1557]) ).
cnf(refute_0_1559,plain,
( converse(complement(converse(composition(X_594,top)))) != complement(composition(X_594,top))
| converse(complement(converse(composition(X_594,top)))) != composition(complement(composition(X_594,top)),top)
| complement(composition(X_594,top)) = composition(complement(composition(X_594,top)),top) ),
introduced(tautology,[equality,[$cnf( $equal(converse(complement(converse(composition(X_594,top)))),composition(complement(composition(X_594,top)),top)) ),[0],$fot(complement(composition(X_594,top)))]]) ).
cnf(refute_0_1560,plain,
( converse(complement(converse(composition(X_594,top)))) != composition(complement(composition(X_594,top)),top)
| complement(composition(X_594,top)) = composition(complement(composition(X_594,top)),top) ),
inference(resolve,[$cnf( $equal(converse(complement(converse(composition(X_594,top)))),complement(composition(X_594,top))) )],[refute_0_1558,refute_0_1559]) ).
cnf(refute_0_1561,plain,
complement(composition(X_594,top)) = composition(complement(composition(X_594,top)),top),
inference(resolve,[$cnf( $equal(converse(complement(converse(composition(X_594,top)))),composition(complement(composition(X_594,top)),top)) )],[refute_0_1549,refute_0_1560]) ).
cnf(refute_0_1562,plain,
( complement(composition(X_594,top)) != composition(complement(composition(X_594,top)),top)
| composition(complement(composition(X_594,top)),top) = complement(composition(X_594,top)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(complement(composition(X_594,top)))),bind(Y,$fot(composition(complement(composition(X_594,top)),top)))]]) ).
cnf(refute_0_1563,plain,
composition(complement(composition(X_594,top)),top) = complement(composition(X_594,top)),
inference(resolve,[$cnf( $equal(complement(composition(X_594,top)),composition(complement(composition(X_594,top)),top)) )],[refute_0_1561,refute_0_1562]) ).
cnf(refute_0_1564,plain,
composition(complement(composition(skolemFOFtoCNF_X0,top)),top) = complement(composition(skolemFOFtoCNF_X0,top)),
inference(subst,[],[refute_0_1563:[bind(X_594,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_1565,plain,
( complement(composition(skolemFOFtoCNF_X0,top)) != complement(composition(skolemFOFtoCNF_X0,top))
| composition(complement(composition(skolemFOFtoCNF_X0,top)),top) != complement(composition(skolemFOFtoCNF_X0,top))
| complement(composition(skolemFOFtoCNF_X0,top)) = composition(complement(composition(skolemFOFtoCNF_X0,top)),top) ),
introduced(tautology,[equality,[$cnf( ~ $equal(complement(composition(skolemFOFtoCNF_X0,top)),composition(complement(composition(skolemFOFtoCNF_X0,top)),top)) ),[1],$fot(complement(composition(skolemFOFtoCNF_X0,top)))]]) ).
cnf(refute_0_1566,plain,
( complement(composition(skolemFOFtoCNF_X0,top)) != complement(composition(skolemFOFtoCNF_X0,top))
| complement(composition(skolemFOFtoCNF_X0,top)) = composition(complement(composition(skolemFOFtoCNF_X0,top)),top) ),
inference(resolve,[$cnf( $equal(composition(complement(composition(skolemFOFtoCNF_X0,top)),top),complement(composition(skolemFOFtoCNF_X0,top))) )],[refute_0_1564,refute_0_1565]) ).
cnf(refute_0_1567,plain,
complement(composition(skolemFOFtoCNF_X0,top)) != complement(composition(skolemFOFtoCNF_X0,top)),
inference(resolve,[$cnf( $equal(complement(composition(skolemFOFtoCNF_X0,top)),composition(complement(composition(skolemFOFtoCNF_X0,top)),top)) )],[refute_0_1566,refute_0_0]) ).
cnf(refute_0_1568,plain,
complement(composition(skolemFOFtoCNF_X0,top)) = complement(composition(skolemFOFtoCNF_X0,top)),
introduced(tautology,[refl,[$fot(complement(composition(skolemFOFtoCNF_X0,top)))]]) ).
cnf(refute_0_1569,plain,
$false,
inference(resolve,[$cnf( $equal(complement(composition(skolemFOFtoCNF_X0,top)),complement(composition(skolemFOFtoCNF_X0,top))) )],[refute_0_1568,refute_0_1567]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : REL050+3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n029.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Fri Jul 8 08:09:59 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 18.94/19.12 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 18.94/19.12
% 18.94/19.12 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 19.08/19.27
%------------------------------------------------------------------------------